Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(5,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.h (of order \(54\), degree \(18\), 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: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 162.5 |
Dual form | 162.3.h.a.65.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{23}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.326140 | − | 1.37609i | −0.163070 | − | 0.688047i | ||||
\(3\) | −2.75282 | − | 1.19248i | −0.917605 | − | 0.397493i | ||||
\(4\) | −1.78727 | + | 0.897598i | −0.446816 | + | 0.224400i | ||||
\(5\) | −1.51997 | + | 1.13158i | −0.303994 | + | 0.226315i | −0.738336 | − | 0.674433i | \(-0.764388\pi\) |
0.434342 | + | 0.900748i | \(0.356981\pi\) | |||||||
\(6\) | −0.743160 | + | 4.17705i | −0.123860 | + | 0.696174i | ||||
\(7\) | −2.05983 | + | 1.35477i | −0.294262 | + | 0.193539i | −0.688052 | − | 0.725661i | \(-0.741534\pi\) |
0.393790 | + | 0.919200i | \(0.371164\pi\) | |||||||
\(8\) | 1.81808 | + | 2.16670i | 0.227260 | + | 0.270838i | ||||
\(9\) | 6.15598 | + | 6.56535i | 0.683998 | + | 0.729484i | ||||
\(10\) | 2.05288 | + | 1.72257i | 0.205288 | + | 0.172257i | ||||
\(11\) | 0.177149 | − | 1.51561i | 0.0161045 | − | 0.137783i | −0.982794 | − | 0.184705i | \(-0.940867\pi\) |
0.998899 | + | 0.0469220i | \(0.0149412\pi\) | |||||||
\(12\) | 5.99038 | − | 0.339644i | 0.499198 | − | 0.0283037i | ||||
\(13\) | 4.60013 | + | 15.3655i | 0.353856 | + | 1.18196i | 0.930908 | + | 0.365254i | \(0.119018\pi\) |
−0.577052 | + | 0.816707i | \(0.695797\pi\) | |||||||
\(14\) | 2.53609 | + | 2.39268i | 0.181149 | + | 0.170905i | ||||
\(15\) | 5.53357 | − | 1.30248i | 0.368905 | − | 0.0868323i | ||||
\(16\) | 2.38863 | − | 3.20849i | 0.149290 | − | 0.200531i | ||||
\(17\) | 13.4044 | + | 2.36356i | 0.788495 | + | 0.139033i | 0.553374 | − | 0.832933i | \(-0.313340\pi\) |
0.235121 | + | 0.971966i | \(0.424451\pi\) | |||||||
\(18\) | 7.02683 | − | 10.6124i | 0.390379 | − | 0.589580i | ||||
\(19\) | 1.74697 | + | 9.90758i | 0.0919460 | + | 0.521451i | 0.995641 | + | 0.0932737i | \(0.0297332\pi\) |
−0.903695 | + | 0.428178i | \(0.859156\pi\) | |||||||
\(20\) | 1.70089 | − | 3.38675i | 0.0850444 | − | 0.169337i | ||||
\(21\) | 7.28588 | − | 1.27313i | 0.346947 | − | 0.0606253i | ||||
\(22\) | −2.14339 | + | 0.250527i | −0.0974270 | + | 0.0113876i | ||||
\(23\) | 3.40001 | − | 5.16947i | 0.147827 | − | 0.224759i | −0.753982 | − | 0.656895i | \(-0.771869\pi\) |
0.901809 | + | 0.432136i | \(0.142240\pi\) | |||||||
\(24\) | −2.42108 | − | 8.13255i | −0.100879 | − | 0.338856i | ||||
\(25\) | −6.14024 | + | 20.5098i | −0.245609 | + | 0.820393i | ||||
\(26\) | 19.6441 | − | 11.3415i | 0.755541 | − | 0.436212i | ||||
\(27\) | −9.11723 | − | 25.4141i | −0.337675 | − | 0.941263i | ||||
\(28\) | 2.46543 | − | 4.27024i | 0.0880509 | − | 0.152509i | ||||
\(29\) | 0.504434 | − | 0.475909i | 0.0173943 | − | 0.0164106i | −0.677495 | − | 0.735527i | \(-0.736935\pi\) |
0.694890 | + | 0.719116i | \(0.255453\pi\) | |||||||
\(30\) | −3.59706 | − | 7.18992i | −0.119902 | − | 0.239664i | ||||
\(31\) | −2.90952 | + | 49.9546i | −0.0938556 | + | 1.61144i | 0.542509 | + | 0.840050i | \(0.317475\pi\) |
−0.636364 | + | 0.771389i | \(0.719562\pi\) | |||||||
\(32\) | −5.19421 | − | 2.24057i | −0.162319 | − | 0.0700177i | ||||
\(33\) | −2.29499 | + | 3.96094i | −0.0695452 | + | 0.120029i | ||||
\(34\) | −1.11924 | − | 19.2166i | −0.0329188 | − | 0.565193i | ||||
\(35\) | 1.59785 | − | 4.39007i | 0.0456530 | − | 0.125431i | ||||
\(36\) | −16.8954 | − | 6.20843i | −0.469317 | − | 0.172456i | ||||
\(37\) | −42.8060 | + | 15.5801i | −1.15692 | + | 0.421084i | −0.847995 | − | 0.530004i | \(-0.822191\pi\) |
−0.308922 | + | 0.951087i | \(0.599968\pi\) | |||||||
\(38\) | 13.0640 | − | 5.63526i | 0.343789 | − | 0.148296i | ||||
\(39\) | 5.65975 | − | 47.7839i | 0.145122 | − | 1.22523i | ||||
\(40\) | −5.21521 | − | 1.23603i | −0.130380 | − | 0.0309007i | ||||
\(41\) | −3.48374 | + | 14.6991i | −0.0849694 | + | 0.358514i | −0.998875 | − | 0.0474118i | \(-0.984903\pi\) |
0.913906 | + | 0.405926i | \(0.133051\pi\) | |||||||
\(42\) | −4.12816 | − | 9.61083i | −0.0982896 | − | 0.228829i | ||||
\(43\) | −9.40174 | − | 21.7957i | −0.218645 | − | 0.506876i | 0.773225 | − | 0.634132i | \(-0.218642\pi\) |
−0.991870 | + | 0.127256i | \(0.959383\pi\) | |||||||
\(44\) | 1.04379 | + | 2.86780i | 0.0237226 | + | 0.0651773i | ||||
\(45\) | −16.7861 | − | 3.01318i | −0.373024 | − | 0.0669595i | ||||
\(46\) | −8.22255 | − | 2.99276i | −0.178751 | − | 0.0650601i | ||||
\(47\) | −36.2386 | + | 2.11066i | −0.771033 | + | 0.0449076i | −0.439151 | − | 0.898413i | \(-0.644721\pi\) |
−0.331882 | + | 0.943321i | \(0.607684\pi\) | |||||||
\(48\) | −10.4015 | + | 5.98399i | −0.216699 | + | 0.124666i | ||||
\(49\) | −17.0004 | + | 39.4114i | −0.346947 | + | 0.804314i | ||||
\(50\) | 30.2260 | + | 1.76046i | 0.604520 | + | 0.0352093i | ||||
\(51\) | −34.0814 | − | 22.4909i | −0.668262 | − | 0.440999i | ||||
\(52\) | −22.0137 | − | 23.3331i | −0.423340 | − | 0.448714i | ||||
\(53\) | 35.6992 | + | 20.6109i | 0.673569 | + | 0.388885i | 0.797428 | − | 0.603414i | \(-0.206194\pi\) |
−0.123858 | + | 0.992300i | \(0.539527\pi\) | |||||||
\(54\) | −31.9987 | + | 20.8347i | −0.592568 | + | 0.385828i | ||||
\(55\) | 1.44576 | + | 2.50414i | 0.0262866 | + | 0.0455297i | ||||
\(56\) | −6.68032 | − | 1.99996i | −0.119292 | − | 0.0357135i | ||||
\(57\) | 7.00549 | − | 29.3570i | 0.122903 | − | 0.515034i | ||||
\(58\) | −0.819411 | − | 0.538935i | −0.0141278 | − | 0.00929198i | ||||
\(59\) | −0.503282 | − | 4.30585i | −0.00853020 | − | 0.0729805i | 0.988303 | − | 0.152505i | \(-0.0487340\pi\) |
−0.996833 | + | 0.0795243i | \(0.974660\pi\) | |||||||
\(60\) | −8.72086 | + | 7.29481i | −0.145348 | + | 0.121580i | ||||
\(61\) | 4.43174 | + | 2.22570i | 0.0726514 | + | 0.0364869i | 0.484754 | − | 0.874651i | \(-0.338909\pi\) |
−0.412103 | + | 0.911137i | \(0.635205\pi\) | |||||||
\(62\) | 69.6911 | − | 12.2884i | 1.12405 | − | 0.198200i | ||||
\(63\) | −21.5749 | − | 5.18357i | −0.342458 | − | 0.0822789i | ||||
\(64\) | −1.38919 | + | 7.87846i | −0.0217060 | + | 0.123101i | ||||
\(65\) | −24.3793 | − | 18.1497i | −0.375066 | − | 0.279226i | ||||
\(66\) | 6.19912 | + | 1.86630i | 0.0939260 | + | 0.0282773i | ||||
\(67\) | 6.27180 | − | 6.64772i | 0.0936089 | − | 0.0992197i | −0.678875 | − | 0.734253i | \(-0.737532\pi\) |
0.772484 | + | 0.635034i | \(0.219014\pi\) | |||||||
\(68\) | −26.0788 | + | 7.80747i | −0.383511 | + | 0.114816i | ||||
\(69\) | −15.5241 | + | 10.1761i | −0.224987 | + | 0.147480i | ||||
\(70\) | −6.56227 | − | 0.767019i | −0.0937467 | − | 0.0109574i | ||||
\(71\) | 25.0928 | − | 29.9044i | 0.353420 | − | 0.421189i | −0.559819 | − | 0.828615i | \(-0.689129\pi\) |
0.913238 | + | 0.407426i | \(0.133574\pi\) | |||||||
\(72\) | −3.03310 | + | 25.2745i | −0.0421264 | + | 0.351035i | ||||
\(73\) | 18.7518 | − | 15.7346i | 0.256873 | − | 0.215542i | −0.505252 | − | 0.862972i | \(-0.668600\pi\) |
0.762125 | + | 0.647430i | \(0.224156\pi\) | |||||||
\(74\) | 35.4004 | + | 53.8237i | 0.478384 | + | 0.727347i | ||||
\(75\) | 41.3605 | − | 49.1376i | 0.551473 | − | 0.655168i | ||||
\(76\) | −12.0153 | − | 16.1394i | −0.158096 | − | 0.212360i | ||||
\(77\) | 1.68841 | + | 3.36190i | 0.0219274 | + | 0.0436610i | ||||
\(78\) | −67.6010 | + | 7.79592i | −0.866680 | + | 0.0999476i | ||||
\(79\) | −18.4337 | + | 4.36886i | −0.233337 | + | 0.0553020i | −0.345621 | − | 0.938374i | \(-0.612332\pi\) |
0.112283 | + | 0.993676i | \(0.464184\pi\) | |||||||
\(80\) | 7.57973i | 0.0947466i | ||||||||
\(81\) | −5.20776 | + | 80.8324i | −0.0642933 | + | 0.997931i | ||||
\(82\) | 21.3635 | 0.260530 | ||||||||
\(83\) | −34.6912 | − | 146.374i | −0.417966 | − | 1.76354i | −0.620443 | − | 0.784252i | \(-0.713047\pi\) |
0.202476 | − | 0.979287i | \(-0.435101\pi\) | |||||||
\(84\) | −11.8790 | + | 8.81522i | −0.141417 | + | 0.104943i | ||||
\(85\) | −23.0488 | + | 11.5756i | −0.271163 | + | 0.136183i | ||||
\(86\) | −26.9266 | + | 20.0461i | −0.313100 | + | 0.233094i | ||||
\(87\) | −1.95612 | + | 0.708562i | −0.0224842 | + | 0.00814439i | ||||
\(88\) | 3.60594 | − | 2.37166i | 0.0409766 | − | 0.0269507i | ||||
\(89\) | 101.116 | + | 120.505i | 1.13613 | + | 1.35399i | 0.926538 | + | 0.376202i | \(0.122770\pi\) |
0.209595 | + | 0.977788i | \(0.432785\pi\) | |||||||
\(90\) | 1.32820 | + | 24.0820i | 0.0147578 | + | 0.267577i | ||||
\(91\) | −30.2923 | − | 25.4182i | −0.332882 | − | 0.279321i | ||||
\(92\) | −1.43662 | + | 12.2911i | −0.0156154 | + | 0.133598i | ||||
\(93\) | 67.5793 | − | 134.046i | 0.726659 | − | 1.44136i | ||||
\(94\) | 14.7233 | + | 49.1793i | 0.156631 | + | 0.523184i | ||||
\(95\) | −13.8665 | − | 13.0824i | −0.145963 | − | 0.137709i | ||||
\(96\) | 11.6269 | + | 12.3619i | 0.121113 | + | 0.128769i | ||||
\(97\) | 97.6355 | − | 131.147i | 1.00655 | − | 1.35203i | 0.0715314 | − | 0.997438i | \(-0.477211\pi\) |
0.935020 | − | 0.354595i | \(-0.115381\pi\) | |||||||
\(98\) | 59.7782 | + | 10.5405i | 0.609982 | + | 0.107556i | ||||
\(99\) | 11.0410 | − | 8.16701i | 0.111526 | − | 0.0824951i | ||||
\(100\) | −7.43535 | − | 42.1680i | −0.0743535 | − | 0.421680i | ||||
\(101\) | −20.9008 | + | 41.6168i | −0.206938 | + | 0.412048i | −0.973028 | − | 0.230685i | \(-0.925903\pi\) |
0.766090 | + | 0.642733i | \(0.222200\pi\) | |||||||
\(102\) | −19.8343 | + | 54.2343i | −0.194454 | + | 0.531709i | ||||
\(103\) | 175.704 | − | 20.5368i | 1.70586 | − | 0.199387i | 0.793444 | − | 0.608644i | \(-0.208286\pi\) |
0.912419 | + | 0.409257i | \(0.134212\pi\) | |||||||
\(104\) | −24.9290 | + | 37.9028i | −0.239702 | + | 0.364450i | ||||
\(105\) | −9.63367 | + | 10.1796i | −0.0917492 | + | 0.0969489i | ||||
\(106\) | 16.7196 | − | 55.8474i | 0.157732 | − | 0.526863i | ||||
\(107\) | −74.1222 | + | 42.7945i | −0.692731 | + | 0.399948i | −0.804634 | − | 0.593771i | \(-0.797639\pi\) |
0.111903 | + | 0.993719i | \(0.464305\pi\) | |||||||
\(108\) | 39.1066 | + | 37.2381i | 0.362098 | + | 0.344797i | ||||
\(109\) | −79.1776 | + | 137.140i | −0.726400 | + | 1.25816i | 0.231995 | + | 0.972717i | \(0.425475\pi\) |
−0.958395 | + | 0.285445i | \(0.907859\pi\) | |||||||
\(110\) | 2.97440 | − | 2.80620i | 0.0270400 | − | 0.0255109i | ||||
\(111\) | 136.416 | + | 8.15613i | 1.22897 | + | 0.0734786i | ||||
\(112\) | −0.573407 | + | 9.84502i | −0.00511970 | + | 0.0879019i | ||||
\(113\) | 0.402468 | + | 0.173608i | 0.00356167 | + | 0.00153635i | 0.397860 | − | 0.917446i | \(-0.369753\pi\) |
−0.394298 | + | 0.918983i | \(0.629012\pi\) | |||||||
\(114\) | −42.6827 | − | 0.0657316i | −0.374410 | − | 0.000576593i | ||||
\(115\) | 0.681727 | + | 11.7048i | 0.00592806 | + | 0.101781i | ||||
\(116\) | −0.474382 | + | 1.30335i | −0.00408950 | + | 0.0112358i | ||||
\(117\) | −72.5616 | + | 124.791i | −0.620185 | + | 1.06659i | ||||
\(118\) | −5.76111 | + | 2.09687i | −0.0488230 | + | 0.0177701i | ||||
\(119\) | −30.8129 | + | 13.2914i | −0.258932 | + | 0.111692i | ||||
\(120\) | 12.8826 | + | 9.62158i | 0.107355 | + | 0.0801799i | ||||
\(121\) | 115.473 | + | 27.3675i | 0.954320 | + | 0.226178i | ||||
\(122\) | 1.61741 | − | 6.82437i | 0.0132574 | − | 0.0559375i | ||||
\(123\) | 27.1185 | − | 36.3095i | 0.220475 | − | 0.295200i | ||||
\(124\) | −39.6391 | − | 91.8937i | −0.319670 | − | 0.741078i | ||||
\(125\) | −30.0781 | − | 82.6388i | −0.240624 | − | 0.661110i | ||||
\(126\) | −0.0966498 | + | 31.3796i | −0.000767062 | + | 0.249044i | ||||
\(127\) | −9.18383 | − | 3.34264i | −0.0723136 | − | 0.0263200i | 0.305610 | − | 0.952157i | \(-0.401140\pi\) |
−0.377924 | + | 0.925837i | \(0.623362\pi\) | |||||||
\(128\) | 11.2946 | − | 0.657834i | 0.0882388 | − | 0.00513933i | ||||
\(129\) | −0.109665 | + | 71.2109i | −0.000850118 | + | 0.552022i | ||||
\(130\) | −17.0246 | + | 39.4675i | −0.130959 | + | 0.303596i | ||||
\(131\) | 61.8487 | + | 3.60228i | 0.472127 | + | 0.0274983i | 0.292560 | − | 0.956247i | \(-0.405493\pi\) |
0.179568 | + | 0.983746i | \(0.442530\pi\) | |||||||
\(132\) | 0.546423 | − | 9.13924i | 0.00413957 | − | 0.0692366i | ||||
\(133\) | −17.0210 | − | 18.0412i | −0.127977 | − | 0.135648i | ||||
\(134\) | −11.1934 | − | 6.46249i | −0.0835326 | − | 0.0482276i | ||||
\(135\) | 42.6159 | + | 28.3118i | 0.315673 | + | 0.209717i | ||||
\(136\) | 19.2491 | + | 33.3405i | 0.141538 | + | 0.245151i | ||||
\(137\) | −106.069 | − | 31.7549i | −0.774225 | − | 0.231788i | −0.124768 | − | 0.992186i | \(-0.539819\pi\) |
−0.649457 | + | 0.760398i | \(0.725004\pi\) | |||||||
\(138\) | 19.0663 | + | 18.0438i | 0.138162 | + | 0.130752i | ||||
\(139\) | 151.870 | + | 99.8864i | 1.09259 | + | 0.718607i | 0.962060 | − | 0.272838i | \(-0.0879622\pi\) |
0.130529 | + | 0.991445i | \(0.458333\pi\) | |||||||
\(140\) | 1.08473 | + | 9.28045i | 0.00774806 | + | 0.0662889i | ||||
\(141\) | 102.275 | + | 37.4035i | 0.725354 | + | 0.265273i | ||||
\(142\) | −49.3350 | − | 24.7770i | −0.347430 | − | 0.174486i | ||||
\(143\) | 24.1030 | − | 4.25001i | 0.168552 | − | 0.0297203i | ||||
\(144\) | 35.7693 | − | 4.06919i | 0.248398 | − | 0.0282583i | ||||
\(145\) | −0.228197 | + | 1.29417i | −0.00157377 | + | 0.00892532i | ||||
\(146\) | −27.7680 | − | 20.6725i | −0.190192 | − | 0.141592i | ||||
\(147\) | 93.7963 | − | 88.2196i | 0.638070 | − | 0.600133i | ||||
\(148\) | 62.5209 | − | 66.2683i | 0.422439 | − | 0.447759i | ||||
\(149\) | −144.103 | + | 43.1416i | −0.967134 | + | 0.289541i | −0.731151 | − | 0.682216i | \(-0.761016\pi\) |
−0.235984 | + | 0.971757i | \(0.575831\pi\) | |||||||
\(150\) | −81.1073 | − | 40.8901i | −0.540715 | − | 0.272601i | ||||
\(151\) | 48.5215 | + | 5.67135i | 0.321335 | + | 0.0375586i | 0.275231 | − | 0.961378i | \(-0.411246\pi\) |
0.0461034 | + | 0.998937i | \(0.485320\pi\) | |||||||
\(152\) | −18.2906 | + | 21.7979i | −0.120333 | + | 0.143407i | ||||
\(153\) | 66.9997 | + | 102.555i | 0.437907 | + | 0.670292i | ||||
\(154\) | 4.07563 | − | 3.41986i | 0.0264651 | − | 0.0222069i | ||||
\(155\) | −52.1050 | − | 79.2218i | −0.336161 | − | 0.511108i | ||||
\(156\) | 32.7753 | + | 90.4827i | 0.210098 | + | 0.580018i | ||||
\(157\) | −78.2520 | − | 105.111i | −0.498421 | − | 0.669495i | 0.479724 | − | 0.877419i | \(-0.340737\pi\) |
−0.978145 | + | 0.207924i | \(0.933329\pi\) | |||||||
\(158\) | 12.0239 | + | 23.9416i | 0.0761007 | + | 0.151529i | ||||
\(159\) | −73.6951 | − | 99.3086i | −0.463491 | − | 0.624583i | ||||
\(160\) | 10.4304 | − | 2.47205i | 0.0651901 | − | 0.0154503i | ||||
\(161\) | 15.2545i | 0.0947483i | ||||||||
\(162\) | 112.931 | − | 19.1963i | 0.697107 | − | 0.118496i | ||||
\(163\) | −200.481 | −1.22995 | −0.614974 | − | 0.788548i | \(-0.710833\pi\) | ||||
−0.614974 | + | 0.788548i | \(0.710833\pi\) | |||||||
\(164\) | −6.96749 | − | 29.3982i | −0.0424847 | − | 0.179257i | ||||
\(165\) | −0.993788 | − | 8.61747i | −0.00602295 | − | 0.0522271i | ||||
\(166\) | −190.110 | + | 95.4767i | −1.14524 | + | 0.575161i | ||||
\(167\) | −250.969 | + | 186.839i | −1.50281 | + | 1.11880i | −0.542426 | + | 0.840103i | \(0.682494\pi\) |
−0.960380 | + | 0.278695i | \(0.910098\pi\) | |||||||
\(168\) | 16.0048 | + | 13.4717i | 0.0952666 | + | 0.0801885i | ||||
\(169\) | −73.7398 | + | 48.4994i | −0.436330 | + | 0.286979i | ||||
\(170\) | 23.4462 | + | 27.9421i | 0.137919 | + | 0.164365i | ||||
\(171\) | −54.2924 | + | 72.4604i | −0.317500 | + | 0.423745i | ||||
\(172\) | 36.3672 | + | 30.5157i | 0.211437 | + | 0.177417i | ||||
\(173\) | 31.1760 | − | 266.728i | 0.180208 | − | 1.54178i | −0.536196 | − | 0.844094i | \(-0.680139\pi\) |
0.716404 | − | 0.697686i | \(-0.245787\pi\) | |||||||
\(174\) | 1.61302 | + | 2.46072i | 0.00927022 | + | 0.0141421i | ||||
\(175\) | −15.1383 | − | 50.5654i | −0.0865045 | − | 0.288945i | ||||
\(176\) | −4.43967 | − | 4.18862i | −0.0252254 | − | 0.0237990i | ||||
\(177\) | −3.74920 | + | 12.4534i | −0.0211819 | + | 0.0703580i | ||||
\(178\) | 132.848 | − | 178.446i | 0.746339 | − | 1.00251i | ||||
\(179\) | −199.255 | − | 35.1341i | −1.11316 | − | 0.196280i | −0.413323 | − | 0.910585i | \(-0.635632\pi\) |
−0.699834 | + | 0.714305i | \(0.746743\pi\) | |||||||
\(180\) | 32.7058 | − | 9.68182i | 0.181699 | − | 0.0537879i | ||||
\(181\) | −31.7387 | − | 179.999i | −0.175352 | − | 0.994470i | −0.937737 | − | 0.347346i | \(-0.887083\pi\) |
0.762385 | − | 0.647123i | \(-0.224028\pi\) | |||||||
\(182\) | −25.0983 | + | 49.9749i | −0.137903 | + | 0.274587i | ||||
\(183\) | −9.54564 | − | 11.4117i | −0.0521620 | − | 0.0623590i | ||||
\(184\) | 17.3822 | − | 2.03169i | 0.0944684 | − | 0.0110418i | ||||
\(185\) | 47.4337 | − | 72.1194i | 0.256398 | − | 0.389835i | ||||
\(186\) | −206.500 | − | 49.2775i | −1.11022 | − | 0.264933i | ||||
\(187\) | 5.95681 | − | 19.8971i | 0.0318546 | − | 0.106402i | ||||
\(188\) | 62.8734 | − | 36.3000i | 0.334433 | − | 0.193085i | ||||
\(189\) | 53.2103 | + | 39.9970i | 0.281536 | + | 0.211624i | ||||
\(190\) | −13.4801 | + | 23.3483i | −0.0709482 | + | 0.122886i | ||||
\(191\) | 41.9493 | − | 39.5772i | 0.219630 | − | 0.207210i | −0.568561 | − | 0.822641i | \(-0.692500\pi\) |
0.788191 | + | 0.615431i | \(0.211018\pi\) | |||||||
\(192\) | 13.2191 | − | 20.0314i | 0.0688494 | − | 0.104330i | ||||
\(193\) | −4.02930 | + | 69.1805i | −0.0208772 | + | 0.358448i | 0.971650 | + | 0.236424i | \(0.0759755\pi\) |
−0.992527 | + | 0.122024i | \(0.961062\pi\) | |||||||
\(194\) | −212.314 | − | 91.5832i | −1.09440 | − | 0.472078i | ||||
\(195\) | 45.4685 | + | 79.0345i | 0.233172 | + | 0.405305i | ||||
\(196\) | −4.99135 | − | 85.6981i | −0.0254661 | − | 0.437235i | ||||
\(197\) | 1.85921 | − | 5.10813i | 0.00943759 | − | 0.0259296i | −0.934884 | − | 0.354952i | \(-0.884497\pi\) |
0.944322 | + | 0.329023i | \(0.106719\pi\) | |||||||
\(198\) | −14.8395 | − | 12.5299i | −0.0749469 | − | 0.0632823i | ||||
\(199\) | −107.702 | + | 39.2003i | −0.541215 | + | 0.196986i | −0.598139 | − | 0.801392i | \(-0.704093\pi\) |
0.0569238 | + | 0.998379i | \(0.481871\pi\) | |||||||
\(200\) | −55.6021 | + | 23.9844i | −0.278010 | + | 0.119922i | ||||
\(201\) | −25.1924 | + | 10.8209i | −0.125335 | + | 0.0538356i | ||||
\(202\) | 64.0852 | + | 15.1885i | 0.317254 | + | 0.0751905i | ||||
\(203\) | −0.394301 | + | 1.66369i | −0.00194237 | + | 0.00819550i | ||||
\(204\) | 81.1003 | + | 9.60589i | 0.397550 | + | 0.0470877i | ||||
\(205\) | −11.3379 | − | 26.2843i | −0.0553069 | − | 0.128216i | ||||
\(206\) | −85.5647 | − | 235.087i | −0.415363 | − | 1.14120i | ||||
\(207\) | 54.8698 | − | 9.50087i | 0.265072 | − | 0.0458979i | ||||
\(208\) | 60.2881 | + | 21.9431i | 0.289847 | + | 0.105496i | ||||
\(209\) | 15.3255 | − | 0.892608i | 0.0733277 | − | 0.00427085i | ||||
\(210\) | 17.1501 | + | 9.93684i | 0.0816669 | + | 0.0473183i | ||||
\(211\) | 107.636 | − | 249.529i | 0.510124 | − | 1.18260i | −0.447423 | − | 0.894323i | \(-0.647658\pi\) |
0.957547 | − | 0.288278i | \(-0.0930827\pi\) | |||||||
\(212\) | −82.3042 | − | 4.79368i | −0.388227 | − | 0.0226117i | ||||
\(213\) | −104.736 | + | 52.3987i | −0.491719 | + | 0.246003i | ||||
\(214\) | 83.0634 | + | 88.0421i | 0.388147 | + | 0.411412i | ||||
\(215\) | 38.9538 | + | 22.4900i | 0.181181 | + | 0.104605i | ||||
\(216\) | 38.4889 | − | 65.9591i | 0.178189 | − | 0.305366i | ||||
\(217\) | −61.6840 | − | 106.840i | −0.284258 | − | 0.492350i | ||||
\(218\) | 214.540 | + | 64.2291i | 0.984128 | + | 0.294629i | ||||
\(219\) | −70.3833 | + | 20.9533i | −0.321385 | + | 0.0956773i | ||||
\(220\) | −4.83167 | − | 3.17784i | −0.0219621 | − | 0.0144447i | ||||
\(221\) | 25.3447 | + | 216.838i | 0.114682 | + | 0.981168i | ||||
\(222\) | −33.2671 | − | 190.381i | −0.149852 | − | 0.857572i | ||||
\(223\) | 309.666 | + | 155.520i | 1.38864 | + | 0.697399i | 0.976859 | − | 0.213886i | \(-0.0686121\pi\) |
0.411777 | + | 0.911285i | \(0.364908\pi\) | |||||||
\(224\) | 13.7347 | − | 2.42179i | 0.0613155 | − | 0.0108116i | ||||
\(225\) | −172.453 | + | 85.9453i | −0.766460 | + | 0.381979i | ||||
\(226\) | 0.107640 | − | 0.610454i | 0.000476281 | − | 0.00270112i | ||||
\(227\) | −208.518 | − | 155.236i | −0.918582 | − | 0.683859i | 0.0302828 | − | 0.999541i | \(-0.490359\pi\) |
−0.948865 | + | 0.315682i | \(0.897767\pi\) | |||||||
\(228\) | 13.8301 | + | 58.7568i | 0.0606583 | + | 0.257705i | ||||
\(229\) | 105.815 | − | 112.157i | 0.462074 | − | 0.489769i | −0.453875 | − | 0.891065i | \(-0.649959\pi\) |
0.915948 | + | 0.401296i | \(0.131440\pi\) | |||||||
\(230\) | 15.8846 | − | 4.75552i | 0.0690633 | − | 0.0206762i | ||||
\(231\) | −0.638880 | − | 11.2681i | −0.00276572 | − | 0.0487795i | ||||
\(232\) | 1.94825 | + | 0.227718i | 0.00839764 | + | 0.000981543i | ||||
\(233\) | 39.1685 | − | 46.6792i | 0.168105 | − | 0.200340i | −0.675414 | − | 0.737438i | \(-0.736035\pi\) |
0.843519 | + | 0.537099i | \(0.180480\pi\) | |||||||
\(234\) | 195.390 | + | 59.1521i | 0.834998 | + | 0.252787i | ||||
\(235\) | 52.6931 | − | 44.2148i | 0.224226 | − | 0.188148i | ||||
\(236\) | 4.76442 | + | 7.24395i | 0.0201882 | + | 0.0306947i | ||||
\(237\) | 55.9542 | + | 9.95511i | 0.236094 | + | 0.0420047i | ||||
\(238\) | 28.3395 | + | 38.0666i | 0.119074 | + | 0.159944i | ||||
\(239\) | 2.34860 | + | 4.67645i | 0.00982679 | + | 0.0195667i | 0.898492 | − | 0.438989i | \(-0.144663\pi\) |
−0.888666 | + | 0.458556i | \(0.848367\pi\) | |||||||
\(240\) | 9.03868 | − | 20.8656i | 0.0376611 | − | 0.0869400i | ||||
\(241\) | −86.4151 | + | 20.4807i | −0.358569 | + | 0.0849824i | −0.405952 | − | 0.913894i | \(-0.633060\pi\) |
0.0473832 | + | 0.998877i | \(0.484912\pi\) | |||||||
\(242\) | − | 167.827i | − | 0.693500i | ||||||
\(243\) | 110.727 | − | 216.307i | 0.455667 | − | 0.890150i | ||||
\(244\) | −9.91847 | −0.0406495 | ||||||||
\(245\) | −18.7568 | − | 79.1413i | −0.0765585 | − | 0.323026i | ||||
\(246\) | −58.8097 | − | 25.4755i | −0.239064 | − | 0.103559i | ||||
\(247\) | −144.199 | + | 72.4192i | −0.583800 | + | 0.293195i | ||||
\(248\) | −113.526 | + | 84.5173i | −0.457768 | + | 0.340796i | ||||
\(249\) | −79.0493 | + | 444.308i | −0.317467 | + | 1.78437i | ||||
\(250\) | −103.909 | + | 68.3420i | −0.415636 | + | 0.273368i | ||||
\(251\) | 253.867 | + | 302.547i | 1.01142 | + | 1.20537i | 0.978572 | + | 0.205907i | \(0.0660145\pi\) |
0.0328517 | + | 0.999460i | \(0.489541\pi\) | |||||||
\(252\) | 43.2128 | − | 10.1011i | 0.171479 | − | 0.0400839i | ||||
\(253\) | −7.23258 | − | 6.06885i | −0.0285873 | − | 0.0239876i | ||||
\(254\) | −1.60457 | + | 13.7280i | −0.00631720 | + | 0.0540471i | ||||
\(255\) | 77.2528 | − | 4.38010i | 0.302952 | − | 0.0171769i | ||||
\(256\) | −4.58885 | − | 15.3278i | −0.0179252 | − | 0.0598743i | ||||
\(257\) | 356.557 | + | 336.394i | 1.38738 | + | 1.30893i | 0.900101 | + | 0.435681i | \(0.143492\pi\) |
0.487280 | + | 0.873246i | \(0.337989\pi\) | |||||||
\(258\) | 98.0286 | − | 23.0738i | 0.379956 | − | 0.0894334i | ||||
\(259\) | 67.0656 | − | 90.0847i | 0.258941 | − | 0.347818i | ||||
\(260\) | 59.8633 | + | 10.5555i | 0.230244 | + | 0.0405982i | ||||
\(261\) | 6.22980 | + | 0.382101i | 0.0238689 | + | 0.00146399i | ||||
\(262\) | −15.2143 | − | 86.2844i | −0.0580697 | − | 0.329330i | ||||
\(263\) | −179.098 | + | 356.613i | −0.680980 | + | 1.35594i | 0.241691 | + | 0.970353i | \(0.422298\pi\) |
−0.922671 | + | 0.385588i | \(0.873998\pi\) | |||||||
\(264\) | −12.7547 | + | 2.22874i | −0.0483131 | + | 0.00844220i | ||||
\(265\) | −77.5845 | + | 9.06832i | −0.292772 | + | 0.0342201i | ||||
\(266\) | −19.2751 | + | 29.3064i | −0.0724629 | + | 0.110175i | ||||
\(267\) | −134.653 | − | 452.307i | −0.504319 | − | 1.69403i | ||||
\(268\) | −5.24239 | + | 17.5108i | −0.0195611 | + | 0.0653388i | ||||
\(269\) | −145.224 | + | 83.8453i | −0.539867 | + | 0.311693i | −0.745025 | − | 0.667036i | \(-0.767563\pi\) |
0.205158 | + | 0.978729i | \(0.434229\pi\) | |||||||
\(270\) | 25.0609 | − | 67.8770i | 0.0928183 | − | 0.251396i | ||||
\(271\) | −164.698 | + | 285.264i | −0.607740 | + | 1.05264i | 0.383872 | + | 0.923386i | \(0.374590\pi\) |
−0.991612 | + | 0.129250i | \(0.958743\pi\) | |||||||
\(272\) | 39.6017 | − | 37.3623i | 0.145594 | − | 0.137361i | ||||
\(273\) | 53.0783 | + | 106.095i | 0.194426 | + | 0.388625i | ||||
\(274\) | −9.10443 | + | 156.317i | −0.0332279 | + | 0.570500i | ||||
\(275\) | 29.9971 | + | 12.9395i | 0.109080 | + | 0.0470527i | ||||
\(276\) | 18.6116 | − | 32.1219i | 0.0674333 | − | 0.116384i | ||||
\(277\) | 12.5142 | + | 214.861i | 0.0451777 | + | 0.775671i | 0.942482 | + | 0.334258i | \(0.108486\pi\) |
−0.897304 | + | 0.441413i | \(0.854477\pi\) | |||||||
\(278\) | 87.9221 | − | 241.564i | 0.316267 | − | 0.868935i | ||||
\(279\) | −345.881 | + | 288.418i | −1.23972 | + | 1.03375i | ||||
\(280\) | 12.4170 | − | 4.51941i | 0.0443464 | − | 0.0161408i | ||||
\(281\) | 460.762 | − | 198.753i | 1.63972 | − | 0.707307i | 0.641511 | − | 0.767114i | \(-0.278308\pi\) |
0.998210 | + | 0.0598070i | \(0.0190485\pi\) | |||||||
\(282\) | 18.1148 | − | 152.939i | 0.0642367 | − | 0.542336i | ||||
\(283\) | 160.979 | + | 38.1528i | 0.568832 | + | 0.134816i | 0.504960 | − | 0.863143i | \(-0.331507\pi\) |
0.0638714 | + | 0.997958i | \(0.479655\pi\) | |||||||
\(284\) | −18.0053 | + | 75.9704i | −0.0633990 | + | 0.267501i | ||||
\(285\) | 22.5715 | + | 52.5489i | 0.0791981 | + | 0.184382i | ||||
\(286\) | −13.7094 | − | 31.7819i | −0.0479348 | − | 0.111125i | ||||
\(287\) | −12.7380 | − | 34.9973i | −0.0443832 | − | 0.121942i | ||||
\(288\) | −17.2654 | − | 47.8947i | −0.0599493 | − | 0.166301i | ||||
\(289\) | −97.4793 | − | 35.4796i | −0.337299 | − | 0.122767i | ||||
\(290\) | 1.85532 | − | 0.108060i | 0.00639767 | − | 0.000372622i | ||||
\(291\) | −425.163 | + | 244.596i | −1.46104 | + | 0.840535i | ||||
\(292\) | −19.3910 | + | 44.9534i | −0.0664076 | + | 0.153950i | ||||
\(293\) | 463.304 | + | 26.9844i | 1.58124 | + | 0.0920969i | 0.826123 | − | 0.563490i | \(-0.190542\pi\) |
0.755120 | + | 0.655587i | \(0.227579\pi\) | |||||||
\(294\) | −151.989 | − | 100.300i | −0.516970 | − | 0.341158i | ||||
\(295\) | 5.63737 | + | 5.97526i | 0.0191097 | + | 0.0202551i | ||||
\(296\) | −111.582 | − | 64.4219i | −0.376966 | − | 0.217641i | ||||
\(297\) | −40.1329 | + | 9.31606i | −0.135128 | + | 0.0313672i | ||||
\(298\) | 106.365 | + | 184.229i | 0.356928 | + | 0.618218i | ||||
\(299\) | 95.0719 | + | 28.4627i | 0.317966 | + | 0.0951929i | ||||
\(300\) | −29.8163 | + | 124.947i | −0.0993877 | + | 0.416490i | ||||
\(301\) | 48.8942 | + | 32.1582i | 0.162439 | + | 0.106838i | ||||
\(302\) | −8.02051 | − | 68.6198i | −0.0265580 | − | 0.227218i | ||||
\(303\) | 107.163 | − | 89.6397i | 0.353674 | − | 0.295841i | ||||
\(304\) | 35.9613 | + | 18.0604i | 0.118294 | + | 0.0594093i | ||||
\(305\) | −9.25465 | + | 1.63184i | −0.0303431 | + | 0.00535031i | ||||
\(306\) | 119.274 | − | 125.645i | 0.389783 | − | 0.410605i | ||||
\(307\) | 13.6919 | − | 77.6505i | 0.0445990 | − | 0.252933i | −0.954354 | − | 0.298677i | \(-0.903455\pi\) |
0.998953 | + | 0.0457437i | \(0.0145658\pi\) | |||||||
\(308\) | −6.03527 | − | 4.49309i | −0.0195950 | − | 0.0145880i | ||||
\(309\) | −508.170 | − | 152.989i | −1.64456 | − | 0.495111i | ||||
\(310\) | −92.0231 | + | 97.5387i | −0.296849 | + | 0.314641i | ||||
\(311\) | 355.243 | − | 106.353i | 1.14226 | − | 0.341970i | 0.340869 | − | 0.940111i | \(-0.389279\pi\) |
0.801391 | + | 0.598141i | \(0.204094\pi\) | |||||||
\(312\) | 113.823 | − | 74.6119i | 0.364818 | − | 0.239141i | ||||
\(313\) | −103.770 | − | 12.1289i | −0.331533 | − | 0.0387506i | −0.0513018 | − | 0.998683i | \(-0.516337\pi\) |
−0.280231 | + | 0.959933i | \(0.590411\pi\) | |||||||
\(314\) | −119.121 | + | 141.963i | −0.379366 | + | 0.452111i | ||||
\(315\) | 38.6587 | − | 16.5347i | 0.122726 | − | 0.0524911i | ||||
\(316\) | 29.0244 | − | 24.3543i | 0.0918492 | − | 0.0770707i | ||||
\(317\) | 183.368 | + | 278.798i | 0.578449 | + | 0.879488i | 0.999622 | − | 0.0274919i | \(-0.00875203\pi\) |
−0.421174 | + | 0.906980i | \(0.638382\pi\) | |||||||
\(318\) | −112.623 | + | 133.800i | −0.354160 | + | 0.420754i | ||||
\(319\) | −0.631931 | − | 0.848831i | −0.00198098 | − | 0.00266091i | ||||
\(320\) | −6.80355 | − | 13.5470i | −0.0212611 | − | 0.0423343i | ||||
\(321\) | 255.076 | − | 29.4160i | 0.794630 | − | 0.0916387i | ||||
\(322\) | 20.9916 | − | 4.97510i | 0.0651913 | − | 0.0154506i | ||||
\(323\) | 136.934i | 0.423945i | ||||||||
\(324\) | −63.2474 | − | 149.143i | −0.195208 | − | 0.460319i | ||||
\(325\) | −343.389 | −1.05658 | ||||||||
\(326\) | 65.3850 | + | 275.881i | 0.200568 | + | 0.846261i | ||||
\(327\) | 381.498 | − | 283.102i | 1.16666 | − | 0.865757i | ||||
\(328\) | −38.1822 | + | 19.1758i | −0.116409 | + | 0.0584629i | ||||
\(329\) | 71.7859 | − | 53.4426i | 0.218194 | − | 0.162440i | ||||
\(330\) | −11.5343 | + | 4.17805i | −0.0349525 | + | 0.0126607i | ||||
\(331\) | −186.250 | + | 122.499i | −0.562689 | + | 0.370087i | −0.798760 | − | 0.601649i | \(-0.794511\pi\) |
0.236071 | + | 0.971736i | \(0.424140\pi\) | |||||||
\(332\) | 193.387 | + | 230.470i | 0.582492 | + | 0.694186i | ||||
\(333\) | −365.802 | − | 185.125i | −1.09850 | − | 0.555932i | ||||
\(334\) | 338.959 | + | 284.420i | 1.01485 | + | 0.851558i | ||||
\(335\) | −2.01055 | + | 17.2013i | −0.00600164 | + | 0.0513473i | ||||
\(336\) | 13.3185 | − | 26.4177i | 0.0396383 | − | 0.0786242i | ||||
\(337\) | −142.668 | − | 476.544i | −0.423347 | − | 1.41408i | −0.858079 | − | 0.513518i | \(-0.828342\pi\) |
0.434732 | − | 0.900560i | \(-0.356843\pi\) | |||||||
\(338\) | 90.7893 | + | 85.6553i | 0.268607 | + | 0.253418i | ||||
\(339\) | −0.900897 | − | 0.957846i | −0.00265751 | − | 0.00282550i | ||||
\(340\) | 30.8042 | − | 41.3772i | 0.0906005 | − | 0.121698i | ||||
\(341\) | 75.1962 | + | 13.2591i | 0.220517 | + | 0.0388830i | ||||
\(342\) | 117.419 | + | 51.0792i | 0.343331 | + | 0.149354i | ||||
\(343\) | −39.3532 | − | 223.183i | −0.114732 | − | 0.650679i | ||||
\(344\) | 30.1316 | − | 59.9970i | 0.0875920 | − | 0.174410i | ||||
\(345\) | 12.0811 | − | 33.0341i | 0.0350176 | − | 0.0957510i | ||||
\(346\) | −377.210 | + | 44.0895i | −1.09020 | + | 0.127426i | ||||
\(347\) | 231.230 | − | 351.568i | 0.666368 | − | 1.01316i | −0.331206 | − | 0.943558i | \(-0.607456\pi\) |
0.997575 | − | 0.0696054i | \(-0.0221740\pi\) | |||||||
\(348\) | 2.86011 | − | 3.02220i | 0.00821871 | − | 0.00868449i | ||||
\(349\) | 17.5908 | − | 58.7574i | 0.0504035 | − | 0.168359i | −0.929082 | − | 0.369874i | \(-0.879401\pi\) |
0.979486 | + | 0.201514i | \(0.0645862\pi\) | |||||||
\(350\) | −64.6455 | + | 37.3231i | −0.184702 | + | 0.106637i | ||||
\(351\) | 348.560 | − | 256.999i | 0.993048 | − | 0.732190i | ||||
\(352\) | −4.31597 | + | 7.47548i | −0.0122613 | + | 0.0212372i | ||||
\(353\) | 457.706 | − | 431.823i | 1.29662 | − | 1.22330i | 0.337158 | − | 0.941448i | \(-0.390534\pi\) |
0.959459 | − | 0.281847i | \(-0.0909470\pi\) | |||||||
\(354\) | 18.3598 | + | 1.09771i | 0.0518637 | + | 0.00310087i | ||||
\(355\) | −4.30117 | + | 73.8482i | −0.0121160 | + | 0.208023i | ||||
\(356\) | −288.886 | − | 124.613i | −0.811478 | − | 0.350037i | ||||
\(357\) | 100.672 | + | 0.155036i | 0.281994 | + | 0.000434273i | ||||
\(358\) | 16.6373 | + | 285.652i | 0.0464730 | + | 0.797911i | ||||
\(359\) | 1.75860 | − | 4.83172i | 0.00489862 | − | 0.0134588i | −0.937219 | − | 0.348741i | \(-0.886609\pi\) |
0.942118 | + | 0.335282i | \(0.108832\pi\) | |||||||
\(360\) | −23.9898 | − | 41.8486i | −0.0666383 | − | 0.116246i | ||||
\(361\) | 244.121 | − | 88.8527i | 0.676235 | − | 0.246129i | ||||
\(362\) | −237.344 | + | 102.380i | −0.655647 | + | 0.282818i | ||||
\(363\) | −285.240 | − | 213.037i | −0.785785 | − | 0.586878i | ||||
\(364\) | 76.9556 | + | 18.2388i | 0.211417 | + | 0.0501067i | ||||
\(365\) | −10.6972 | + | 45.1351i | −0.0293074 | + | 0.123658i | ||||
\(366\) | −12.5903 | + | 16.8575i | −0.0343999 | + | 0.0460588i | ||||
\(367\) | 285.806 | + | 662.572i | 0.778763 | + | 1.80537i | 0.557537 | + | 0.830152i | \(0.311746\pi\) |
0.221225 | + | 0.975223i | \(0.428994\pi\) | |||||||
\(368\) | −8.46481 | − | 23.2569i | −0.0230022 | − | 0.0631981i | ||||
\(369\) | −117.951 | + | 67.6152i | −0.319649 | + | 0.183239i | ||||
\(370\) | −114.713 | − | 41.7521i | −0.310035 | − | 0.112844i | ||||
\(371\) | −101.457 | + | 5.90922i | −0.273470 | + | 0.0159278i | ||||
\(372\) | −0.462364 | + | 300.235i | −0.00124291 | + | 0.807084i | ||||
\(373\) | 125.324 | − | 290.534i | 0.335989 | − | 0.778911i | −0.663537 | − | 0.748143i | \(-0.730946\pi\) |
0.999527 | − | 0.0307678i | \(-0.00979523\pi\) | |||||||
\(374\) | −29.3231 | − | 1.70787i | −0.0784039 | − | 0.00456651i | ||||
\(375\) | −15.7458 | + | 263.357i | −0.0419887 | + | 0.702285i | ||||
\(376\) | −70.4577 | − | 74.6808i | −0.187387 | − | 0.198619i | ||||
\(377\) | 9.63303 | + | 5.56163i | 0.0255518 | + | 0.0147523i | ||||
\(378\) | 37.6856 | − | 86.2670i | 0.0996973 | − | 0.228219i | ||||
\(379\) | −8.79624 | − | 15.2355i | −0.0232091 | − | 0.0401993i | 0.854188 | − | 0.519965i | \(-0.174055\pi\) |
−0.877397 | + | 0.479766i | \(0.840722\pi\) | |||||||
\(380\) | 36.5259 | + | 10.9351i | 0.0961207 | + | 0.0287766i | ||||
\(381\) | 21.2953 | + | 20.1532i | 0.0558933 | + | 0.0528955i | ||||
\(382\) | −68.1432 | − | 44.8185i | −0.178385 | − | 0.117326i | ||||
\(383\) | −41.9165 | − | 358.619i | −0.109443 | − | 0.936341i | −0.930700 | − | 0.365783i | \(-0.880801\pi\) |
0.821258 | − | 0.570558i | \(-0.193273\pi\) | |||||||
\(384\) | −31.8763 | − | 11.6577i | −0.0830112 | − | 0.0303585i | ||||
\(385\) | −6.37057 | − | 3.19942i | −0.0165469 | − | 0.00831018i | ||||
\(386\) | 96.5129 | − | 17.0178i | 0.250033 | − | 0.0440877i | ||||
\(387\) | 85.2194 | − | 195.900i | 0.220205 | − | 0.506201i | ||||
\(388\) | −56.7830 | + | 322.032i | −0.146348 | + | 0.829980i | ||||
\(389\) | −25.2759 | − | 18.8172i | −0.0649766 | − | 0.0483733i | 0.564180 | − | 0.825652i | \(-0.309192\pi\) |
−0.629157 | + | 0.777278i | \(0.716600\pi\) | |||||||
\(390\) | 93.9298 | − | 88.3452i | 0.240846 | − | 0.226526i | ||||
\(391\) | 57.7935 | − | 61.2575i | 0.147809 | − | 0.156669i | ||||
\(392\) | −116.301 | + | 34.8182i | −0.296686 | + | 0.0888218i | ||||
\(393\) | −165.962 | − | 83.6697i | −0.422296 | − | 0.212900i | ||||
\(394\) | −7.63562 | − | 0.892476i | −0.0193797 | − | 0.00226517i | ||||
\(395\) | 23.0749 | − | 27.4996i | 0.0584175 | − | 0.0696192i | ||||
\(396\) | −12.4026 | + | 24.5070i | −0.0313196 | + | 0.0618864i | ||||
\(397\) | 461.362 | − | 387.129i | 1.16212 | − | 0.975136i | 0.162189 | − | 0.986760i | \(-0.448145\pi\) |
0.999932 | + | 0.0116240i | \(0.00370012\pi\) | |||||||
\(398\) | 89.0691 | + | 135.423i | 0.223792 | + | 0.340259i | ||||
\(399\) | 25.3419 | + | 69.9613i | 0.0635135 | + | 0.175342i | ||||
\(400\) | 51.1388 | + | 68.6914i | 0.127847 | + | 0.171728i | ||||
\(401\) | −257.057 | − | 511.843i | −0.641040 | − | 1.27642i | −0.946036 | − | 0.324062i | \(-0.894951\pi\) |
0.304996 | − | 0.952354i | \(-0.401345\pi\) | |||||||
\(402\) | 23.1069 | + | 31.1379i | 0.0574798 | + | 0.0774575i | ||||
\(403\) | −780.961 | + | 185.091i | −1.93787 | + | 0.459284i | ||||
\(404\) | − | 93.1408i | − | 0.230547i | ||||||
\(405\) | −83.5523 | − | 128.756i | −0.206302 | − | 0.317915i | ||||
\(406\) | 2.41798 | 0.00595563 | ||||||||
\(407\) | 16.0303 | + | 67.6371i | 0.0393864 | + | 0.166184i | ||||
\(408\) | −13.2315 | − | 114.734i | −0.0324300 | − | 0.281212i | ||||
\(409\) | −476.333 | + | 239.223i | −1.16463 | + | 0.584899i | −0.922747 | − | 0.385407i | \(-0.874061\pi\) |
−0.241882 | + | 0.970306i | \(0.577765\pi\) | |||||||
\(410\) | −32.4718 | + | 24.1744i | −0.0791996 | + | 0.0589619i | ||||
\(411\) | 254.121 | + | 213.900i | 0.618299 | + | 0.520439i | ||||
\(412\) | −295.596 | + | 194.416i | −0.717465 | + | 0.471884i | ||||
\(413\) | 6.87013 | + | 8.18750i | 0.0166347 | + | 0.0198245i | ||||
\(414\) | −30.9693 | − | 72.4074i | −0.0748051 | − | 0.174897i | ||||
\(415\) | 218.362 | + | 183.228i | 0.526175 | + | 0.441513i | ||||
\(416\) | 10.5333 | − | 90.1186i | 0.0253206 | − | 0.216631i | ||||
\(417\) | −298.957 | − | 456.070i | −0.716923 | − | 1.09369i | ||||
\(418\) | −6.22657 | − | 20.7982i | −0.0148961 | − | 0.0497564i | ||||
\(419\) | −121.681 | − | 114.800i | −0.290408 | − | 0.273985i | 0.527225 | − | 0.849726i | \(-0.323232\pi\) |
−0.817633 | + | 0.575740i | \(0.804714\pi\) | |||||||
\(420\) | 8.08069 | − | 26.8409i | 0.0192397 | − | 0.0639069i | ||||
\(421\) | 314.355 | − | 422.252i | 0.746687 | − | 1.00297i | −0.252685 | − | 0.967548i | \(-0.581314\pi\) |
0.999372 | − | 0.0354260i | \(-0.0112788\pi\) | |||||||
\(422\) | −378.479 | − | 66.7361i | −0.896870 | − | 0.158142i | ||||
\(423\) | −236.941 | − | 224.926i | −0.560145 | − | 0.531740i | ||||
\(424\) | 20.2462 | + | 114.822i | 0.0477504 | + | 0.270806i | ||||
\(425\) | −130.782 | + | 260.409i | −0.307723 | + | 0.612728i | ||||
\(426\) | 106.264 | + | 127.038i | 0.249446 | + | 0.298210i | ||||
\(427\) | −12.1440 | + | 1.41942i | −0.0284402 | + | 0.00332418i | ||||
\(428\) | 94.0638 | − | 143.017i | 0.219775 | − | 0.334152i | ||||
\(429\) | −71.4191 | − | 17.0428i | −0.166478 | − | 0.0397269i | ||||
\(430\) | 18.2439 | − | 60.9390i | 0.0424277 | − | 0.141719i | ||||
\(431\) | −516.278 | + | 298.073i | −1.19786 | + | 0.691585i | −0.960078 | − | 0.279733i | \(-0.909754\pi\) |
−0.237783 | + | 0.971318i | \(0.576421\pi\) | |||||||
\(432\) | −103.319 | − | 31.4524i | −0.239164 | − | 0.0728065i | ||||
\(433\) | −130.715 | + | 226.404i | −0.301881 | + | 0.522874i | −0.976562 | − | 0.215236i | \(-0.930948\pi\) |
0.674681 | + | 0.738110i | \(0.264281\pi\) | |||||||
\(434\) | −126.904 | + | 119.728i | −0.292406 | + | 0.275870i | ||||
\(435\) | 2.17146 | − | 3.29049i | 0.00499186 | − | 0.00756435i | ||||
\(436\) | 18.4151 | − | 316.175i | 0.0422364 | − | 0.725171i | ||||
\(437\) | 57.1566 | + | 24.6550i | 0.130793 | + | 0.0564187i | ||||
\(438\) | 51.7885 | + | 90.0203i | 0.118239 | + | 0.205526i | ||||
\(439\) | 23.3382 | + | 400.702i | 0.0531622 | + | 0.912760i | 0.914464 | + | 0.404667i | \(0.132612\pi\) |
−0.861302 | + | 0.508093i | \(0.830351\pi\) | |||||||
\(440\) | −2.79720 | + | 7.68525i | −0.00635728 | + | 0.0174665i | ||||
\(441\) | −363.404 | + | 131.002i | −0.824045 | + | 0.297057i | ||||
\(442\) | 290.123 | − | 105.596i | 0.656388 | − | 0.238906i | ||||
\(443\) | −507.642 | + | 218.975i | −1.14592 | + | 0.494301i | −0.882468 | − | 0.470372i | \(-0.844120\pi\) |
−0.263450 | + | 0.964673i | \(0.584861\pi\) | |||||||
\(444\) | −251.132 | + | 107.869i | −0.565613 | + | 0.242949i | ||||
\(445\) | −290.054 | − | 68.7440i | −0.651806 | − | 0.154481i | ||||
\(446\) | 113.016 | − | 476.850i | 0.253398 | − | 1.06917i | ||||
\(447\) | 448.134 | + | 53.0791i | 1.00254 | + | 0.118745i | ||||
\(448\) | −7.81204 | − | 18.1103i | −0.0174376 | − | 0.0404249i | ||||
\(449\) | −254.457 | − | 699.114i | −0.566719 | − | 1.55705i | −0.809595 | − | 0.586989i | \(-0.800313\pi\) |
0.242876 | − | 0.970057i | \(-0.421909\pi\) | |||||||
\(450\) | 174.513 | + | 209.282i | 0.387806 | + | 0.465071i | ||||
\(451\) | 21.6609 | + | 7.88392i | 0.0480286 | + | 0.0174810i | ||||
\(452\) | −0.875147 | + | 0.0509715i | −0.00193617 | + | 0.000112769i | ||||
\(453\) | −126.808 | − | 73.4732i | −0.279929 | − | 0.162192i | ||||
\(454\) | −145.613 | + | 337.569i | −0.320734 | + | 0.743544i | ||||
\(455\) | 74.8059 | + | 4.35695i | 0.164409 | + | 0.00957571i | ||||
\(456\) | 76.3443 | − | 38.1944i | 0.167422 | − | 0.0837597i | ||||
\(457\) | −325.484 | − | 344.993i | −0.712218 | − | 0.754907i | 0.265663 | − | 0.964066i | \(-0.414409\pi\) |
−0.977882 | + | 0.209159i | \(0.932928\pi\) | |||||||
\(458\) | −188.849 | − | 109.032i | −0.412335 | − | 0.238061i | ||||
\(459\) | −62.1434 | − | 362.210i | −0.135389 | − | 0.789129i | ||||
\(460\) | −11.7246 | − | 20.3077i | −0.0254883 | − | 0.0441471i | ||||
\(461\) | 301.544 | + | 90.2765i | 0.654109 | + | 0.195827i | 0.596627 | − | 0.802519i | \(-0.296507\pi\) |
0.0574828 | + | 0.998346i | \(0.481693\pi\) | |||||||
\(462\) | −15.2976 | + | 4.55413i | −0.0331116 | + | 0.00985742i | ||||
\(463\) | 430.503 | + | 283.147i | 0.929813 | + | 0.611548i | 0.921483 | − | 0.388418i | \(-0.126978\pi\) |
0.00832960 | + | 0.999965i | \(0.497349\pi\) | |||||||
\(464\) | −0.322042 | − | 2.75524i | −0.000694056 | − | 0.00593803i | ||||
\(465\) | 48.9650 | + | 280.217i | 0.105301 | + | 0.602618i | ||||
\(466\) | −77.0093 | − | 38.6755i | −0.165256 | − | 0.0829947i | ||||
\(467\) | −771.784 | + | 136.086i | −1.65264 | + | 0.291406i | −0.920791 | − | 0.390057i | \(-0.872455\pi\) |
−0.731853 | + | 0.681463i | \(0.761344\pi\) | |||||||
\(468\) | 17.6745 | − | 288.166i | 0.0377660 | − | 0.615740i | ||||
\(469\) | −3.91271 | + | 22.1901i | −0.00834266 | + | 0.0473136i | ||||
\(470\) | −78.0290 | − | 58.0904i | −0.166019 | − | 0.123597i | ||||
\(471\) | 90.0709 | + | 382.664i | 0.191233 | + | 0.812451i | ||||
\(472\) | 8.41449 | − | 8.91883i | 0.0178273 | − | 0.0188958i | ||||
\(473\) | −34.6992 | + | 10.3883i | −0.0733599 | + | 0.0219625i | ||||
\(474\) | −4.54975 | − | 80.2450i | −0.00959863 | − | 0.169293i | ||||
\(475\) | −213.929 | − | 25.0048i | −0.450378 | − | 0.0526416i | ||||
\(476\) | 43.1405 | − | 51.4129i | 0.0906314 | − | 0.108010i | ||||
\(477\) | 84.4454 | + | 361.258i | 0.177034 | + | 0.757355i | ||||
\(478\) | 5.66926 | − | 4.75708i | 0.0118604 | − | 0.00995204i | ||||
\(479\) | 327.324 | + | 497.672i | 0.683349 | + | 1.03898i | 0.996021 | + | 0.0891208i | \(0.0284057\pi\) |
−0.312671 | + | 0.949861i | \(0.601224\pi\) | |||||||
\(480\) | −31.6609 | − | 5.63295i | −0.0659602 | − | 0.0117353i | ||||
\(481\) | −436.309 | − | 586.064i | −0.907087 | − | 1.21843i | ||||
\(482\) | 56.3668 | + | 112.236i | 0.116944 | + | 0.232854i | ||||
\(483\) | 18.1907 | − | 41.9928i | 0.0376618 | − | 0.0869416i | ||||
\(484\) | −230.945 | + | 54.7351i | −0.477160 | + | 0.113089i | ||||
\(485\) | 309.822i | 0.638807i | ||||||||
\(486\) | −333.771 | − | 81.8245i | −0.686771 | − | 0.168363i | ||||
\(487\) | 181.174 | 0.372022 | 0.186011 | − | 0.982548i | \(-0.440444\pi\) | ||||
0.186011 | + | 0.982548i | \(0.440444\pi\) | |||||||
\(488\) | 3.23481 | + | 13.6487i | 0.00662871 | + | 0.0279687i | ||||
\(489\) | 551.888 | + | 239.070i | 1.12861 | + | 0.488896i | ||||
\(490\) | −102.788 | + | 51.6223i | −0.209772 | + | 0.105352i | ||||
\(491\) | 135.881 | − | 101.160i | 0.276744 | − | 0.206028i | −0.449834 | − | 0.893112i | \(-0.648517\pi\) |
0.726578 | + | 0.687084i | \(0.241110\pi\) | |||||||
\(492\) | −15.8765 | + | 89.2363i | −0.0322693 | + | 0.181375i | ||||
\(493\) | 7.88648 | − | 5.18702i | 0.0159969 | − | 0.0105213i | ||||
\(494\) | 146.685 | + | 174.812i | 0.296932 | + | 0.353870i | ||||
\(495\) | −7.54044 | + | 24.9074i | −0.0152332 | + | 0.0503179i | ||||
\(496\) | 153.329 | + | 128.658i | 0.309131 | + | 0.259392i | ||||
\(497\) | −11.1732 | + | 95.5931i | −0.0224814 | + | 0.192340i | ||||
\(498\) | 637.191 | − | 36.1276i | 1.27950 | − | 0.0725454i | ||||
\(499\) | 59.4304 | + | 198.511i | 0.119099 | + | 0.397818i | 0.996662 | − | 0.0816439i | \(-0.0260170\pi\) |
−0.877563 | + | 0.479462i | \(0.840832\pi\) | |||||||
\(500\) | 127.934 | + | 120.699i | 0.255868 | + | 0.241399i | ||||
\(501\) | 913.672 | − | 215.059i | 1.82370 | − | 0.429259i | ||||
\(502\) | 333.537 | − | 448.018i | 0.664416 | − | 0.892466i | ||||
\(503\) | 538.709 | + | 94.9889i | 1.07099 | + | 0.188845i | 0.681229 | − | 0.732070i | \(-0.261446\pi\) |
0.389763 | + | 0.920915i | \(0.372557\pi\) | |||||||
\(504\) | −27.9935 | − | 56.1704i | −0.0555427 | − | 0.111449i | ||||
\(505\) | −15.3241 | − | 86.9071i | −0.0303447 | − | 0.172093i | ||||
\(506\) | −5.99248 | + | 11.9320i | −0.0118428 | + | 0.0235810i | ||||
\(507\) | 260.827 | − | 45.5767i | 0.514451 | − | 0.0898949i | ||||
\(508\) | 19.4143 | − | 2.26920i | 0.0382171 | − | 0.00446694i | ||||
\(509\) | 327.303 | − | 497.640i | 0.643031 | − | 0.977681i | −0.356035 | − | 0.934473i | \(-0.615872\pi\) |
0.999066 | − | 0.0432088i | \(-0.0137581\pi\) | |||||||
\(510\) | −31.2227 | − | 104.879i | −0.0612209 | − | 0.205644i | ||||
\(511\) | −17.3087 | + | 57.8150i | −0.0338722 | + | 0.113141i | ||||
\(512\) | −19.5959 | + | 11.3137i | −0.0382733 | + | 0.0220971i | ||||
\(513\) | 235.865 | − | 134.727i | 0.459775 | − | 0.262626i | ||||
\(514\) | 346.622 | − | 600.367i | 0.674362 | − | 1.16803i | ||||
\(515\) | −243.826 | + | 230.038i | −0.473448 | + | 0.446675i | ||||
\(516\) | −63.7228 | − | 127.371i | −0.123494 | − | 0.246843i | ||||
\(517\) | −3.22070 | + | 55.2974i | −0.00622960 | + | 0.106958i | ||||
\(518\) | −145.838 | − | 62.9083i | −0.281540 | − | 0.121445i | ||||
\(519\) | −403.889 | + | 697.076i | −0.778207 | + | 1.34311i | ||||
\(520\) | −4.99845 | − | 85.8201i | −0.00961241 | − | 0.165039i | ||||
\(521\) | 186.826 | − | 513.302i | 0.358592 | − | 0.985224i | −0.620926 | − | 0.783869i | \(-0.713243\pi\) |
0.979518 | − | 0.201355i | \(-0.0645344\pi\) | |||||||
\(522\) | −1.50598 | − | 8.69740i | −0.00288502 | − | 0.0166617i | ||||
\(523\) | 756.867 | − | 275.477i | 1.44717 | − | 0.526725i | 0.505367 | − | 0.862904i | \(-0.331357\pi\) |
0.941798 | + | 0.336179i | \(0.109135\pi\) | |||||||
\(524\) | −113.773 | + | 49.0771i | −0.217125 | + | 0.0936585i | ||||
\(525\) | −18.6253 | + | 157.249i | −0.0354768 | + | 0.299523i | ||||
\(526\) | 549.143 | + | 130.149i | 1.04400 | + | 0.247432i | ||||
\(527\) | −157.071 | + | 662.735i | −0.298048 | + | 1.25756i | ||||
\(528\) | 7.22676 | + | 16.8247i | 0.0136870 | + | 0.0318650i | ||||
\(529\) | 194.363 | + | 450.584i | 0.367416 | + | 0.851765i | ||||
\(530\) | 37.7823 | + | 103.806i | 0.0712873 | + | 0.195860i | ||||
\(531\) | 25.1712 | − | 29.8110i | 0.0474035 | − | 0.0561412i | ||||
\(532\) | 46.6148 | + | 16.9664i | 0.0876218 | + | 0.0318917i | ||||
\(533\) | −241.884 | + | 14.0882i | −0.453817 | + | 0.0264318i | ||||
\(534\) | −578.501 | + | 332.811i | −1.08333 | + | 0.623241i | ||||
\(535\) | 64.2383 | − | 148.921i | 0.120072 | − | 0.278357i | ||||
\(536\) | 25.8062 | + | 1.50304i | 0.0481460 | + | 0.00280418i | ||||
\(537\) | 506.616 | + | 334.325i | 0.943419 | + | 0.622580i | ||||
\(538\) | 162.742 | + | 172.497i | 0.302495 | + | 0.320626i | ||||
\(539\) | 56.7206 | + | 32.7477i | 0.105233 | + | 0.0607563i | ||||
\(540\) | −101.578 | − | 12.3488i | −0.188108 | − | 0.0228681i | ||||
\(541\) | 115.979 | + | 200.881i | 0.214378 | + | 0.371314i | 0.953080 | − | 0.302718i | \(-0.0978941\pi\) |
−0.738702 | + | 0.674032i | \(0.764561\pi\) | |||||||
\(542\) | 446.265 | + | 133.603i | 0.823367 | + | 0.246500i | ||||
\(543\) | −127.274 | + | 533.352i | −0.234391 | + | 0.982231i | ||||
\(544\) | −64.3297 | − | 42.3103i | −0.118253 | − | 0.0777763i | ||||
\(545\) | −34.8363 | − | 298.043i | −0.0639198 | − | 0.546869i | ||||
\(546\) | 128.685 | − | 107.642i | 0.235687 | − | 0.197147i | ||||
\(547\) | 606.563 | + | 304.627i | 1.10889 | + | 0.556906i | 0.906418 | − | 0.422382i | \(-0.138806\pi\) |
0.202473 | + | 0.979288i | \(0.435102\pi\) | |||||||
\(548\) | 218.076 | − | 38.4527i | 0.397949 | − | 0.0701692i | ||||
\(549\) | 12.6692 | + | 42.7973i | 0.0230768 | + | 0.0779550i | ||||
\(550\) | 8.02269 | − | 45.4989i | 0.0145867 | − | 0.0827253i | ||||
\(551\) | 5.59633 | + | 4.16632i | 0.0101567 | + | 0.00756137i | ||||
\(552\) | −50.2727 | − | 15.1350i | −0.0910737 | − | 0.0274186i | ||||
\(553\) | 32.0514 | − | 33.9725i | 0.0579592 | − | 0.0614332i | ||||
\(554\) | 291.587 | − | 87.2954i | 0.526330 | − | 0.157573i | ||||
\(555\) | −216.577 | + | 141.968i | −0.390229 | + | 0.255798i | ||||
\(556\) | −361.089 | − | 42.2053i | −0.649442 | − | 0.0759088i | ||||
\(557\) | −292.377 | + | 348.442i | −0.524914 | + | 0.625568i | −0.961735 | − | 0.273980i | \(-0.911660\pi\) |
0.436821 | + | 0.899548i | \(0.356104\pi\) | |||||||
\(558\) | 509.695 | + | 381.900i | 0.913432 | + | 0.684408i | ||||
\(559\) | 291.652 | − | 244.725i | 0.521739 | − | 0.437791i | ||||
\(560\) | −10.2688 | − | 15.6130i | −0.0183372 | − | 0.0278803i | ||||
\(561\) | −40.1249 | + | 47.6698i | −0.0715240 | + | 0.0849728i | ||||
\(562\) | −423.776 | − | 569.230i | −0.754049 | − | 1.01286i | ||||
\(563\) | −268.006 | − | 533.643i | −0.476031 | − | 0.947856i | −0.995625 | − | 0.0934426i | \(-0.970213\pi\) |
0.519593 | − | 0.854414i | \(-0.326083\pi\) | |||||||
\(564\) | −216.366 | + | 24.9518i | −0.383627 | + | 0.0442409i | ||||
\(565\) | −0.808189 | + | 0.191544i | −0.00143042 | + | 0.000339017i | ||||
\(566\) | − | 233.966i | − | 0.413367i | ||||||
\(567\) | −98.7825 | − | 173.557i | −0.174220 | − | 0.306096i | ||||
\(568\) | 110.415 | 0.194392 | ||||||||
\(569\) | 24.2295 | + | 102.232i | 0.0425826 | + | 0.179670i | 0.990180 | − | 0.139796i | \(-0.0446446\pi\) |
−0.947598 | + | 0.319466i | \(0.896496\pi\) | |||||||
\(570\) | 64.9507 | − | 48.1988i | 0.113949 | − | 0.0845592i | ||||
\(571\) | −63.8065 | + | 32.0448i | −0.111745 | + | 0.0561205i | −0.503794 | − | 0.863824i | \(-0.668063\pi\) |
0.392049 | + | 0.919945i | \(0.371767\pi\) | |||||||
\(572\) | −39.2636 | + | 29.2307i | −0.0686427 | + | 0.0511026i | ||||
\(573\) | −162.674 | + | 58.9249i | −0.283898 | + | 0.102836i | ||||
\(574\) | −44.0052 | + | 28.9427i | −0.0766641 | + | 0.0504228i | ||||
\(575\) | 85.1480 | + | 101.475i | 0.148083 | + | 0.176479i | ||||
\(576\) | −60.2767 | + | 39.3792i | −0.104647 | + | 0.0683666i | ||||
\(577\) | −18.9146 | − | 15.8712i | −0.0327809 | − | 0.0275065i | 0.626250 | − | 0.779622i | \(-0.284589\pi\) |
−0.659031 | + | 0.752116i | \(0.729033\pi\) | |||||||
\(578\) | −17.0313 | + | 145.712i | −0.0294659 | + | 0.252097i | ||||
\(579\) | 93.5883 | − | 185.636i | 0.161638 | − | 0.320615i | ||||
\(580\) | −0.753797 | − | 2.51786i | −0.00129965 | − | 0.00434113i | ||||
\(581\) | 269.761 | + | 254.507i | 0.464305 | + | 0.438049i | ||||
\(582\) | 475.249 | + | 505.291i | 0.816579 | + | 0.868198i | ||||
\(583\) | 37.5622 | − | 50.4548i | 0.0644291 | − | 0.0865433i | ||||
\(584\) | 68.1843 | + | 12.0227i | 0.116754 | + | 0.0205869i | ||||
\(585\) | −30.9192 | − | 271.788i | −0.0528533 | − | 0.464594i | ||||
\(586\) | −113.969 | − | 646.350i | −0.194486 | − | 1.10299i | ||||
\(587\) | −241.714 | + | 481.293i | −0.411779 | + | 0.819920i | 0.588158 | + | 0.808746i | \(0.299853\pi\) |
−0.999938 | + | 0.0111741i | \(0.996443\pi\) | |||||||
\(588\) | −88.4530 | + | 241.863i | −0.150430 | + | 0.411332i | ||||
\(589\) | −500.012 | + | 58.4430i | −0.848917 | + | 0.0992241i | ||||
\(590\) | 6.38394 | − | 9.70632i | 0.0108202 | − | 0.0164514i | ||||
\(591\) | −11.2094 | + | 11.8447i | −0.0189668 | + | 0.0200417i | ||||
\(592\) | −52.2592 | + | 174.558i | −0.0882756 | + | 0.294861i | ||||
\(593\) | −332.244 | + | 191.821i | −0.560276 | + | 0.323476i | −0.753256 | − | 0.657727i | \(-0.771518\pi\) |
0.192980 | + | 0.981203i | \(0.438185\pi\) | |||||||
\(594\) | 25.9087 | + | 52.1883i | 0.0436174 | + | 0.0878591i | ||||
\(595\) | 31.7945 | − | 55.0697i | 0.0534361 | − | 0.0925541i | ||||
\(596\) | 218.826 | − | 206.452i | 0.367158 | − | 0.346396i | ||||
\(597\) | 343.229 | + | 20.5212i | 0.574923 | + | 0.0343739i | ||||
\(598\) | 8.16052 | − | 140.111i | 0.0136463 | − | 0.234299i | ||||
\(599\) | −306.641 | − | 132.272i | −0.511922 | − | 0.220821i | 0.124419 | − | 0.992230i | \(-0.460293\pi\) |
−0.636340 | + | 0.771408i | \(0.719553\pi\) | |||||||
\(600\) | 181.663 | + | 0.279762i | 0.302772 | + | 0.000466271i | ||||
\(601\) | −48.1542 | − | 826.775i | −0.0801234 | − | 1.37567i | −0.763598 | − | 0.645692i | \(-0.776569\pi\) |
0.683475 | − | 0.729974i | \(-0.260468\pi\) | |||||||
\(602\) | 28.3064 | − | 77.7711i | 0.0470205 | − | 0.129188i | ||||
\(603\) | 82.2537 | + | 0.253343i | 0.136407 | + | 0.000420138i | ||||
\(604\) | −91.8115 | + | 33.4166i | −0.152006 | + | 0.0553256i | ||||
\(605\) | −206.483 | + | 89.0683i | −0.341295 | + | 0.147220i | ||||
\(606\) | −158.303 | − | 118.231i | −0.261226 | − | 0.195101i | ||||
\(607\) | 345.424 | + | 81.8670i | 0.569068 | + | 0.134872i | 0.505070 | − | 0.863079i | \(-0.331467\pi\) |
0.0639979 | + | 0.997950i | \(0.479615\pi\) | |||||||
\(608\) | 13.1244 | − | 55.3763i | 0.0215862 | − | 0.0910794i | ||||
\(609\) | 3.06935 | − | 4.10962i | 0.00503998 | − | 0.00674815i | ||||
\(610\) | 5.26388 | + | 12.2031i | 0.00862931 | + | 0.0200050i | ||||
\(611\) | −199.133 | − | 547.114i | −0.325914 | − | 0.895440i | ||||
\(612\) | −211.799 | − | 123.154i | −0.346077 | − | 0.201232i | ||||
\(613\) | 840.800 | + | 306.026i | 1.37162 | + | 0.499227i | 0.919626 | − | 0.392796i | \(-0.128492\pi\) |
0.451990 | + | 0.892023i | \(0.350714\pi\) | |||||||
\(614\) | −111.320 | + | 6.48364i | −0.181303 | + | 0.0105597i | ||||
\(615\) | −0.132250 | + | 85.8760i | −0.000215040 | + | 0.139636i | ||||
\(616\) | −4.21457 | + | 9.77047i | −0.00684183 | + | 0.0158611i | ||||
\(617\) | −302.833 | − | 17.6380i | −0.490814 | − | 0.0285867i | −0.189047 | − | 0.981968i | \(-0.560540\pi\) |
−0.301768 | + | 0.953381i | \(0.597577\pi\) | |||||||
\(618\) | −44.7928 | + | 749.185i | −0.0724803 | + | 1.21227i | ||||
\(619\) | −30.2957 | − | 32.1115i | −0.0489429 | − | 0.0518765i | 0.702440 | − | 0.711743i | \(-0.252094\pi\) |
−0.751382 | + | 0.659867i | \(0.770613\pi\) | |||||||
\(620\) | 164.235 | + | 94.8210i | 0.264895 | + | 0.152937i | ||||
\(621\) | −162.376 | − | 39.2770i | −0.261475 | − | 0.0632480i | ||||
\(622\) | −262.210 | − | 454.161i | −0.421560 | − | 0.730163i | ||||
\(623\) | −371.539 | − | 111.231i | −0.596370 | − | 0.178542i | ||||
\(624\) | −139.795 | − | 132.298i | −0.224031 | − | 0.212015i | ||||
\(625\) | −307.949 | − | 202.541i | −0.492719 | − | 0.324066i | ||||
\(626\) | 17.1529 | + | 146.753i | 0.0274008 | + | 0.234429i | ||||
\(627\) | −43.2526 | − | 15.8181i | −0.0689835 | − | 0.0252283i | ||||
\(628\) | 234.204 | + | 117.622i | 0.372937 | + | 0.187296i | ||||
\(629\) | −610.613 | + | 107.668i | −0.970768 | + | 0.171173i | ||||
\(630\) | −35.3615 | − | 47.8054i | −0.0561293 | − | 0.0758815i | ||||
\(631\) | 10.3597 | − | 58.7526i | 0.0164179 | − | 0.0931103i | −0.975498 | − | 0.220009i | \(-0.929391\pi\) |
0.991916 | + | 0.126899i | \(0.0405024\pi\) | |||||||
\(632\) | −42.9798 | − | 31.9973i | −0.0680061 | − | 0.0506286i | ||||
\(633\) | −593.861 | + | 558.552i | −0.938168 | + | 0.882389i | ||||
\(634\) | 323.848 | − | 343.259i | 0.510801 | − | 0.541418i | ||||
\(635\) | 17.7416 | − | 5.31148i | 0.0279395 | − | 0.00836454i | ||||
\(636\) | 220.852 | + | 111.342i | 0.347251 | + | 0.175066i | ||||
\(637\) | −683.779 | − | 79.9223i | −1.07344 | − | 0.125467i | ||||
\(638\) | −0.961972 | + | 1.14643i | −0.00150779 | + | 0.00179692i | ||||
\(639\) | 350.804 | − | 19.3480i | 0.548989 | − | 0.0302786i | ||||
\(640\) | −16.4230 | + | 13.7805i | −0.0256609 | + | 0.0215321i | ||||
\(641\) | −126.734 | − | 192.689i | −0.197712 | − | 0.300607i | 0.723001 | − | 0.690847i | \(-0.242762\pi\) |
−0.920713 | + | 0.390240i | \(0.872392\pi\) | |||||||
\(642\) | −123.670 | − | 341.415i | −0.192632 | − | 0.531799i | ||||
\(643\) | −422.607 | − | 567.660i | −0.657243 | − | 0.882830i | 0.341121 | − | 0.940019i | \(-0.389193\pi\) |
−0.998363 | + | 0.0571896i | \(0.981786\pi\) | |||||||
\(644\) | −13.6924 | − | 27.2638i | −0.0212615 | − | 0.0423351i | ||||
\(645\) | −80.4138 | − | 108.362i | −0.124673 | − | 0.168004i | ||||
\(646\) | 188.434 | − | 44.6598i | 0.291694 | − | 0.0691328i | ||||
\(647\) | 980.517i | 1.51548i | 0.652555 | + | 0.757741i | \(0.273697\pi\) | ||||
−0.652555 | + | 0.757741i | \(0.726303\pi\) | |||||||
\(648\) | −184.608 | + | 135.676i | −0.284889 | + | 0.209377i | ||||
\(649\) | −6.61514 | −0.0101928 | ||||||||
\(650\) | 111.993 | + | 472.536i | 0.172297 | + | 0.726978i | ||||
\(651\) | 42.4003 | + | 367.667i | 0.0651311 | + | 0.564773i | ||||
\(652\) | 358.313 | − | 179.952i | 0.549561 | − | 0.276000i | ||||
\(653\) | −486.940 | + | 362.513i | −0.745697 | + | 0.555150i | −0.901573 | − | 0.432626i | \(-0.857587\pi\) |
0.155877 | + | 0.987776i | \(0.450180\pi\) | |||||||
\(654\) | −513.997 | − | 432.645i | −0.785928 | − | 0.661537i | ||||
\(655\) | −98.0844 | + | 64.5111i | −0.149747 | + | 0.0984902i | ||||
\(656\) | 38.8405 | + | 46.2883i | 0.0592081 | + | 0.0705614i | ||||
\(657\) | 218.739 | + | 26.2501i | 0.332936 | + | 0.0399544i | ||||
\(658\) | −96.9543 | − | 81.3543i | −0.147347 | − | 0.123639i | ||||
\(659\) | 67.8547 | − | 580.534i | 0.102966 | − | 0.880932i | −0.838748 | − | 0.544519i | \(-0.816712\pi\) |
0.941715 | − | 0.336413i | \(-0.109214\pi\) | |||||||
\(660\) | 9.51119 | + | 14.5097i | 0.0144109 | + | 0.0219844i | ||||
\(661\) | 280.596 | + | 937.256i | 0.424502 | + | 1.41794i | 0.856540 | + | 0.516081i | \(0.172610\pi\) |
−0.432037 | + | 0.901856i | \(0.642205\pi\) | |||||||
\(662\) | 229.313 | + | 216.346i | 0.346395 | + | 0.326806i | ||||
\(663\) | 188.806 | − | 627.138i | 0.284775 | − | 0.945910i | ||||
\(664\) | 254.077 | − | 341.284i | 0.382646 | − | 0.513982i | ||||
\(665\) | 46.2864 | + | 8.16153i | 0.0696035 | + | 0.0122730i | ||||
\(666\) | −135.447 | + | 563.754i | −0.203374 | + | 0.846477i | ||||
\(667\) | −0.745114 | − | 4.22575i | −0.00111711 | − | 0.00633546i | ||||
\(668\) | 280.841 | − | 559.200i | 0.420421 | − | 0.837126i | ||||
\(669\) | −666.998 | − | 797.388i | −0.997007 | − | 1.19191i | ||||
\(670\) | 24.3264 | − | 2.84334i | 0.0363080 | − | 0.00424380i | ||||
\(671\) | 4.15837 | − | 6.32249i | 0.00619727 | − | 0.00942249i | ||||
\(672\) | −40.6970 | − | 9.71157i | −0.0605609 | − | 0.0144517i | ||||
\(673\) | 146.842 | − | 490.486i | 0.218190 | − | 0.728806i | −0.776881 | − | 0.629647i | \(-0.783200\pi\) |
0.995072 | − | 0.0991590i | \(-0.0316152\pi\) | |||||||
\(674\) | −609.240 | + | 351.745i | −0.903916 | + | 0.521876i | ||||
\(675\) | 577.220 | − | 30.9441i | 0.855141 | − | 0.0458432i | ||||
\(676\) | 88.2596 | − | 152.870i | 0.130562 | − | 0.226139i | ||||
\(677\) | 148.515 | − | 140.117i | 0.219373 | − | 0.206967i | −0.568708 | − | 0.822540i | \(-0.692557\pi\) |
0.788081 | + | 0.615572i | \(0.211075\pi\) | |||||||
\(678\) | −1.02427 | + | 1.55211i | −0.00151072 | + | 0.00228925i | ||||
\(679\) | −23.4380 | + | 402.415i | −0.0345184 | + | 0.592659i | ||||
\(680\) | −66.9854 | − | 28.8947i | −0.0985079 | − | 0.0424922i | ||||
\(681\) | 388.896 | + | 675.990i | 0.571066 | + | 0.992643i | ||||
\(682\) | −6.27871 | − | 107.801i | −0.00920632 | − | 0.158066i | ||||
\(683\) | 212.812 | − | 584.696i | 0.311584 | − | 0.856071i | −0.680753 | − | 0.732513i | \(-0.738347\pi\) |
0.992337 | − | 0.123558i | \(-0.0394305\pi\) | |||||||
\(684\) | 31.9946 | − | 178.239i | 0.0467758 | − | 0.260583i | ||||
\(685\) | 197.154 | − | 71.7583i | 0.287817 | − | 0.104757i | ||||
\(686\) | −294.286 | + | 126.943i | −0.428988 | + | 0.185048i | ||||
\(687\) | −425.034 | + | 182.566i | −0.618681 | + | 0.265744i | ||||
\(688\) | −92.3886 | − | 21.8965i | −0.134286 | − | 0.0318263i | ||||
\(689\) | −152.476 | + | 643.348i | −0.221301 | + | 0.933742i | ||||
\(690\) | −49.3981 | − | 5.85094i | −0.0715915 | − | 0.00847962i | ||||
\(691\) | 290.492 | + | 673.436i | 0.420394 | + | 0.974582i | 0.988444 | + | 0.151588i | \(0.0484387\pi\) |
−0.568050 | + | 0.822994i | \(0.692302\pi\) | |||||||
\(692\) | 183.695 | + | 504.697i | 0.265455 | + | 0.729331i | ||||
\(693\) | −11.6782 | + | 31.7808i | −0.0168517 | + | 0.0458597i | ||||
\(694\) | −559.203 | − | 203.533i | −0.805769 | − | 0.293276i | ||||
\(695\) | −343.866 | + | 20.0279i | −0.494772 | + | 0.0288172i | ||||
\(696\) | −5.09163 | − | 2.95012i | −0.00731556 | − | 0.00423867i | ||||
\(697\) | −81.4397 | + | 188.798i | −0.116843 | + | 0.270873i | ||||
\(698\) | −86.5928 | − | 5.04345i | −0.124058 | − | 0.00722558i | ||||
\(699\) | −163.487 | + | 81.7915i | −0.233888 | + | 0.117012i | ||||
\(700\) | 72.4436 | + | 76.7857i | 0.103491 | + | 0.109694i | ||||
\(701\) | −50.6711 | − | 29.2550i | −0.0722841 | − | 0.0417332i | 0.463422 | − | 0.886138i | \(-0.346621\pi\) |
−0.535706 | + | 0.844404i | \(0.679955\pi\) | |||||||
\(702\) | −467.334 | − | 395.833i | −0.665717 | − | 0.563865i | ||||
\(703\) | −229.142 | − | 396.885i | −0.325949 | − | 0.564559i | ||||
\(704\) | 11.6946 | + | 3.50112i | 0.0166116 | + | 0.00497319i | ||||
\(705\) | −197.780 | + | 58.8796i | −0.280539 | + | 0.0835172i | ||||
\(706\) | −743.505 | − | 489.011i | −1.05312 | − | 0.692650i | ||||
\(707\) | −13.3293 | − | 114.039i | −0.0188533 | − | 0.161301i | ||||
\(708\) | −4.47731 | − | 25.6227i | −0.00632388 | − | 0.0361903i | ||||
\(709\) | 1098.95 | + | 551.914i | 1.55000 | + | 0.778440i | 0.998448 | − | 0.0556996i | \(-0.0177389\pi\) |
0.551554 | + | 0.834139i | \(0.314035\pi\) | |||||||
\(710\) | 103.025 | − | 18.1660i | 0.145105 | − | 0.0255860i | ||||
\(711\) | −142.160 | − | 94.1289i | −0.199944 | − | 0.132389i | ||||
\(712\) | −77.2622 | + | 438.175i | −0.108514 | + | 0.615415i | ||||
\(713\) | 248.346 | + | 184.887i | 0.348312 | + | 0.259309i | ||||
\(714\) | −32.6198 | − | 138.585i | −0.0456861 | − | 0.194096i | ||||
\(715\) | −31.8266 | + | 33.7342i | −0.0445127 | + | 0.0471807i | ||||
\(716\) | 387.658 | − | 116.057i | 0.541422 | − | 0.162091i | ||||
\(717\) | −0.888693 | − | 15.6741i | −0.00123946 | − | 0.0218606i | ||||
\(718\) | −7.22245 | − | 0.844184i | −0.0100591 | − | 0.00117574i | ||||
\(719\) | 705.205 | − | 840.430i | 0.980813 | − | 1.16889i | −0.00482029 | − | 0.999988i | \(-0.501534\pi\) |
0.985633 | − | 0.168899i | \(-0.0540212\pi\) | |||||||
\(720\) | −49.7636 | + | 46.6607i | −0.0691161 | + | 0.0648065i | ||||
\(721\) | −334.098 | + | 280.341i | −0.463381 | + | 0.388823i | ||||
\(722\) | −201.887 | − | 306.955i | −0.279622 | − | 0.425145i | ||||
\(723\) | 262.308 | + | 46.6685i | 0.362804 | + | 0.0645485i | ||||
\(724\) | 218.292 | + | 293.217i | 0.301509 | + | 0.404996i | ||||
\(725\) | 6.66346 | + | 13.2680i | 0.00919098 | + | 0.0183007i | ||||
\(726\) | −200.130 | + | 461.996i | −0.275662 | + | 0.636359i | ||||
\(727\) | −1073.14 | + | 254.338i | −1.47612 | + | 0.349846i | −0.888344 | − | 0.459179i | \(-0.848144\pi\) |
−0.587774 | + | 0.809026i | \(0.699995\pi\) | |||||||
\(728\) | − | 111.847i | − | 0.153635i | ||||||
\(729\) | −562.752 | + | 463.412i | −0.771951 | + | 0.635682i | ||||
\(730\) | 65.5989 | 0.0898615 | ||||||||
\(731\) | −74.5094 | − | 314.380i | −0.101928 | − | 0.430068i | ||||
\(732\) | 27.3037 | + | 11.8276i | 0.0373002 | + | 0.0161579i | ||||
\(733\) | 710.178 | − | 356.665i | 0.968865 | − | 0.486582i | 0.107299 | − | 0.994227i | \(-0.465780\pi\) |
0.861567 | + | 0.507644i | \(0.169484\pi\) | |||||||
\(734\) | 818.549 | − | 609.387i | 1.11519 | − | 0.830227i | ||||
\(735\) | −42.7403 | + | 240.229i | −0.0581501 | + | 0.326842i | ||||
\(736\) | −29.2429 | + | 19.2334i | −0.0397322 | + | 0.0261323i | ||||
\(737\) | −8.96429 | − | 10.6832i | −0.0121632 | − | 0.0144956i | ||||
\(738\) | 131.513 | + | 140.259i | 0.178202 | + | 0.190053i | ||||
\(739\) | −120.402 | − | 101.029i | −0.162926 | − | 0.136711i | 0.557680 | − | 0.830056i | \(-0.311692\pi\) |
−0.720606 | + | 0.693345i | \(0.756136\pi\) | |||||||
\(740\) | −20.0423 | + | 171.473i | −0.0270842 | + | 0.231720i | ||||
\(741\) | 483.310 | − | 27.4029i | 0.652241 | − | 0.0369809i | ||||
\(742\) | 41.2210 | + | 137.688i | 0.0555539 | + | 0.185563i | ||||
\(743\) | −1004.20 | − | 947.411i | −1.35154 | − | 1.27512i | −0.929637 | − | 0.368476i | \(-0.879880\pi\) |
−0.421907 | − | 0.906639i | \(-0.638639\pi\) | |||||||
\(744\) | 413.302 | − | 97.2825i | 0.555514 | − | 0.130756i | ||||
\(745\) | 170.214 | − | 228.637i | 0.228475 | − | 0.306896i | ||||
\(746\) | −440.675 | − | 77.7029i | −0.590717 | − | 0.104159i | ||||
\(747\) | 747.437 | − | 1128.83i | 1.00058 | − | 1.51116i | ||||
\(748\) | 7.21323 | + | 40.9083i | 0.00964336 | + | 0.0546902i | ||||
\(749\) | 94.7026 | − | 188.568i | 0.126439 | − | 0.251760i | ||||
\(750\) | 367.539 | − | 64.2236i | 0.490052 | − | 0.0856314i | ||||
\(751\) | 549.930 | − | 64.2776i | 0.732263 | − | 0.0855893i | 0.258214 | − | 0.966088i | \(-0.416866\pi\) |
0.474049 | + | 0.880498i | \(0.342792\pi\) | |||||||
\(752\) | −79.7886 | + | 121.313i | −0.106102 | + | 0.161320i | ||||
\(753\) | −338.068 | − | 1135.59i | −0.448962 | − | 1.50809i | ||||
\(754\) | 4.51161 | − | 15.0698i | 0.00598357 | − | 0.0199865i | ||||
\(755\) | −80.1688 | + | 46.2855i | −0.106184 | + | 0.0613053i | ||||
\(756\) | −131.002 | − | 23.7238i | −0.173283 | − | 0.0313807i | ||||
\(757\) | −351.435 | + | 608.704i | −0.464248 | + | 0.804100i | −0.999167 | − | 0.0408026i | \(-0.987009\pi\) |
0.534920 | + | 0.844903i | \(0.320342\pi\) | |||||||
\(758\) | −18.0967 | + | 17.0734i | −0.0238743 | + | 0.0225242i | ||||
\(759\) | 12.6730 | + | 25.3311i | 0.0166969 | + | 0.0333744i | ||||
\(760\) | 3.13520 | − | 53.8294i | 0.00412527 | − | 0.0708281i | ||||
\(761\) | 1296.90 | + | 559.427i | 1.70420 | + | 0.735120i | 0.999676 | + | 0.0254402i | \(0.00809874\pi\) |
0.704524 | + | 0.709680i | \(0.251161\pi\) | |||||||
\(762\) | 20.7874 | − | 35.8771i | 0.0272801 | − | 0.0470829i | ||||
\(763\) | −22.7005 | − | 389.753i | −0.0297516 | − | 0.510816i | ||||
\(764\) | −39.4502 | + | 108.389i | −0.0516364 | + | 0.141870i | ||||
\(765\) | −217.886 | − | 80.0648i | −0.284818 | − | 0.104660i | ||||
\(766\) | −479.822 | + | 174.641i | −0.626399 | + | 0.227991i | ||||
\(767\) | 63.8464 | − | 27.5406i | 0.0832417 | − | 0.0359070i | ||||
\(768\) | −5.64587 | + | 47.6668i | −0.00735140 | + | 0.0620661i | ||||
\(769\) | −488.741 | − | 115.834i | −0.635554 | − | 0.150629i | −0.0998059 | − | 0.995007i | \(-0.531822\pi\) |
−0.535748 | + | 0.844378i | \(0.679970\pi\) | |||||||
\(770\) | −2.32500 | + | 9.80995i | −0.00301948 | + | 0.0127402i | ||||
\(771\) | −580.392 | − | 1351.22i | −0.752778 | − | 1.75255i | ||||
\(772\) | −54.8949 | − | 127.261i | −0.0711073 | − | 0.164845i | ||||
\(773\) | −255.297 | − | 701.424i | −0.330268 | − | 0.907405i | −0.988041 | − | 0.154189i | \(-0.950724\pi\) |
0.657773 | − | 0.753216i | \(-0.271499\pi\) | |||||||
\(774\) | −297.370 | − | 53.3792i | −0.384198 | − | 0.0689654i | ||||
\(775\) | −1006.69 | − | 366.407i | −1.29896 | − | 0.472783i | ||||
\(776\) | 461.666 | − | 26.8890i | 0.594930 | − | 0.0346507i | ||||
\(777\) | −292.043 | + | 168.012i | −0.375860 | + | 0.216232i | ||||
\(778\) | −17.6507 | + | 40.9190i | −0.0226873 | + | 0.0525951i | ||||
\(779\) | −151.718 | − | 8.83658i | −0.194760 | − | 0.0113435i | ||||
\(780\) | −152.205 | − | 100.443i | −0.195135 | − | 0.128773i | ||||
\(781\) | −40.8782 | − | 43.3284i | −0.0523409 | − | 0.0554781i | ||||
\(782\) | −103.145 | − | 59.5507i | −0.131899 | − | 0.0761518i | ||||
\(783\) | −16.6938 | − | 8.48076i | −0.0213203 | − | 0.0108311i | ||||
\(784\) | 85.8434 | + | 148.685i | 0.109494 | + | 0.189649i | ||||
\(785\) | 237.881 | + | 71.2170i | 0.303034 | + | 0.0907223i | ||||
\(786\) | −61.0104 | + | 255.668i | −0.0776213 | + | 0.325277i | ||||
\(787\) | −54.1212 | − | 35.5961i | −0.0687690 | − | 0.0452301i | 0.514659 | − | 0.857395i | \(-0.327919\pi\) |
−0.583428 | + | 0.812165i | \(0.698289\pi\) | |||||||
\(788\) | 1.26215 | + | 10.7984i | 0.00160172 | + | 0.0137036i | ||||
\(789\) | 918.276 | − | 768.118i | 1.16385 | − | 0.973534i | ||||
\(790\) | −45.3677 | − | 22.7845i | −0.0574274 | − | 0.0288411i | ||||
\(791\) | −1.06422 | + | 0.187650i | −0.00134541 | + | 0.000237231i | ||||
\(792\) | 37.7689 | + | 9.07435i | 0.0476880 | + | 0.0114575i | ||||
\(793\) | −13.8125 | + | 78.3343i | −0.0174180 | + | 0.0987822i | ||||
\(794\) | −683.194 | − | 508.619i | −0.860446 | − | 0.640578i | ||||
\(795\) | 224.389 | + | 67.5545i | 0.282251 | + | 0.0849742i | ||||
\(796\) | 157.306 | − | 166.734i | 0.197620 | − | 0.209465i | ||||
\(797\) | −1135.49 | + | 339.943i | −1.42470 | + | 0.426528i | −0.904119 | − | 0.427282i | \(-0.859471\pi\) |
−0.520585 | + | 0.853810i | \(0.674286\pi\) | |||||||
\(798\) | 88.0082 | − | 57.6900i | 0.110286 | − | 0.0722932i | ||||
\(799\) | −490.745 | − | 57.3599i | −0.614199 | − | 0.0717896i | ||||
\(800\) | 77.8473 | − | 92.7748i | 0.0973091 | − | 0.115969i | ||||
\(801\) | −168.692 | + | 1405.69i | −0.210601 | + | 1.75492i | ||||
\(802\) | −620.506 | + | 520.667i | −0.773699 | + | 0.649210i | ||||
\(803\) | −20.5256 | − | 31.2077i | −0.0255612 | − | 0.0388639i | ||||
\(804\) | 35.3126 | − | 41.9525i | 0.0439211 | − | 0.0521798i | ||||
\(805\) | −17.2616 | − | 23.1863i | −0.0214430 | − | 0.0288029i | ||||
\(806\) | 509.406 | + | 1014.31i | 0.632017 | + | 1.25845i | ||||
\(807\) | 499.759 | − | 57.6335i | 0.619281 | − | 0.0714170i | ||||
\(808\) | −128.170 | + | 30.3769i | −0.158627 | + | 0.0375952i | ||||
\(809\) | − | 975.187i | − | 1.20542i | −0.797959 | − | 0.602712i | \(-0.794087\pi\) | ||
0.797959 | − | 0.602712i | \(-0.205913\pi\) | |||||||
\(810\) | −149.930 | + | 156.968i | −0.185099 | + | 0.193788i | ||||
\(811\) | −457.109 | −0.563636 | −0.281818 | − | 0.959468i | \(-0.590937\pi\) | ||||
−0.281818 | + | 0.959468i | \(0.590937\pi\) | |||||||
\(812\) | −0.788602 | − | 3.32737i | −0.000971184 | − | 0.00409775i | ||||
\(813\) | 793.554 | − | 588.882i | 0.976081 | − | 0.724332i | ||||
\(814\) | 87.8468 | − | 44.1183i | 0.107920 | − | 0.0541994i | ||||
\(815\) | 304.726 | − | 226.860i | 0.373896 | − | 0.278356i | ||||
\(816\) | −153.570 | + | 55.6272i | −0.188198 | + | 0.0681706i | ||||
\(817\) | 199.518 | − | 131.225i | 0.244208 | − | 0.160618i | ||||
\(818\) | 484.545 | + | 577.458i | 0.592353 | + | 0.705939i | ||||
\(819\) | −19.5990 | − | 355.353i | −0.0239304 | − | 0.433887i | ||||
\(820\) | 43.8566 | + | 36.8000i | 0.0534836 | + | 0.0448781i | ||||
\(821\) | −69.4517 | + | 594.197i | −0.0845941 | + | 0.723748i | 0.882673 | + | 0.469988i | \(0.155742\pi\) |
−0.967267 | + | 0.253761i | \(0.918332\pi\) | |||||||
\(822\) | 211.468 | − | 419.455i | 0.257260 | − | 0.510286i | ||||
\(823\) | 125.656 | + | 419.720i | 0.152681 | + | 0.509988i | 0.999770 | − | 0.0214624i | \(-0.00683222\pi\) |
−0.847089 | + | 0.531451i | \(0.821647\pi\) | |||||||
\(824\) | 363.941 | + | 343.360i | 0.441675 | + | 0.416699i | ||||
\(825\) | −67.1464 | − | 71.3910i | −0.0813896 | − | 0.0865345i | ||||
\(826\) | 9.02614 | − | 12.1242i | 0.0109275 | − | 0.0146782i | ||||
\(827\) | 1400.00 | + | 246.858i | 1.69287 | + | 0.298498i | 0.935194 | − | 0.354135i | \(-0.115225\pi\) |
0.757674 | + | 0.652633i | \(0.226336\pi\) | |||||||
\(828\) | −89.5389 | + | 66.2316i | −0.108139 | + | 0.0799899i | ||||
\(829\) | 273.909 | + | 1553.41i | 0.330409 | + | 1.87384i | 0.468562 | + | 0.883430i | \(0.344772\pi\) |
−0.138153 | + | 0.990411i | \(0.544117\pi\) | |||||||
\(830\) | 180.922 | − | 360.245i | 0.217978 | − | 0.434030i | ||||
\(831\) | 221.768 | − | 606.395i | 0.266869 | − | 0.729717i | ||||
\(832\) | −127.447 | + | 14.8964i | −0.153181 | + | 0.0179043i | ||||
\(833\) | −321.032 | + | 488.105i | −0.385392 | + | 0.585960i | ||||
\(834\) | −530.094 | + | 560.136i | −0.635604 | + | 0.671625i | ||||
\(835\) | 170.042 | − | 567.980i | 0.203643 | − | 0.680215i | ||||
\(836\) | −26.5895 | + | 15.3515i | −0.0318056 | + | 0.0183630i | ||||
\(837\) | 1296.08 | − | 381.505i | 1.54848 | − | 0.455800i | ||||
\(838\) | −118.290 | + | 204.885i | −0.141158 | + | 0.244493i | ||||
\(839\) | 330.208 | − | 311.535i | 0.393573 | − | 0.371317i | −0.463864 | − | 0.885907i | \(-0.653537\pi\) |
0.857436 | + | 0.514590i | \(0.172056\pi\) | |||||||
\(840\) | −39.5710 | − | 2.36590i | −0.0471083 | − | 0.00281655i | ||||
\(841\) | −48.8718 | + | 839.097i | −0.0581116 | + | 0.997737i | ||||
\(842\) | −683.582 | − | 294.869i | −0.811855 | − | 0.350200i | ||||
\(843\) | −1505.40 | − | 2.31833i | −1.78577 | − | 0.00275009i | ||||
\(844\) | 31.6022 | + | 542.588i | 0.0374433 | + | 0.642877i | ||||
\(845\) | 57.2015 | − | 157.160i | 0.0676941 | − | 0.185988i | ||||
\(846\) | −232.243 | + | 399.410i | −0.274519 | + | 0.472116i | ||||
\(847\) | −274.931 | + | 100.067i | −0.324594 | + | 0.118143i | ||||
\(848\) | 151.402 | − | 65.3086i | 0.178540 | − | 0.0770148i | ||||
\(849\) | −397.650 | − | 296.992i | −0.468375 | − | 0.349814i | ||||
\(850\) | 401.001 | + | 95.0389i | 0.471766 | + | 0.111811i | ||||
\(851\) | −65.0000 | + | 274.256i | −0.0763807 | + | 0.322276i | ||||
\(852\) | 140.158 | − | 187.661i | 0.164505 | − | 0.220260i | ||||
\(853\) | 510.296 | + | 1183.00i | 0.598237 | + | 1.38687i | 0.901007 | + | 0.433805i | \(0.142829\pi\) |
−0.302770 | + | 0.953064i | \(0.597911\pi\) | |||||||
\(854\) | 5.91389 | + | 16.2483i | 0.00692493 | + | 0.0190261i | ||||
\(855\) | 0.528450 | − | 171.573i | 0.000618070 | − | 0.200671i | ||||
\(856\) | −227.483 | − | 82.7970i | −0.265751 | − | 0.0967254i | ||||
\(857\) | 1200.15 | − | 69.9006i | 1.40040 | − | 0.0815643i | 0.658758 | − | 0.752355i | \(-0.271082\pi\) |
0.741647 | + | 0.670791i | \(0.234045\pi\) | |||||||
\(858\) | −0.159911 | + | 103.838i | −0.000186376 | + | 0.121023i | ||||
\(859\) | 148.496 | − | 344.253i | 0.172871 | − | 0.400760i | −0.809650 | − | 0.586913i | \(-0.800343\pi\) |
0.982521 | + | 0.186153i | \(0.0596022\pi\) | |||||||
\(860\) | −89.8078 | − | 5.23071i | −0.104428 | − | 0.00608222i | ||||
\(861\) | −6.66829 | + | 111.531i | −0.00774482 | + | 0.129537i | ||||
\(862\) | 578.555 | + | 613.233i | 0.671178 | + | 0.711407i | ||||
\(863\) | 758.055 | + | 437.663i | 0.878395 | + | 0.507142i | 0.870129 | − | 0.492824i | \(-0.164035\pi\) |
0.00826643 | + | 0.999966i | \(0.497369\pi\) | |||||||
\(864\) | −9.58510 | + | 152.434i | −0.0110939 | + | 0.176428i | ||||
\(865\) | 254.436 | + | 440.696i | 0.294146 | + | 0.509475i | ||||
\(866\) | 354.185 | + | 106.036i | 0.408990 | + | 0.122443i | ||||
\(867\) | 226.034 | + | 213.911i | 0.260708 | + | 0.246725i | ||||
\(868\) | 206.145 | + | 135.584i | 0.237494 | + | 0.156202i | ||||
\(869\) | 3.35597 | + | 28.7121i | 0.00386187 | + | 0.0330404i | ||||
\(870\) | −5.23623 | − | 1.91497i | −0.00601865 | − | 0.00220111i | ||||
\(871\) | 130.997 | + | 65.7889i | 0.150398 | + | 0.0755327i | ||||
\(872\) | −441.092 | + | 77.7764i | −0.505839 | + | 0.0891931i | ||||
\(873\) | 1462.07 | − | 166.328i | 1.67477 | − | 0.190525i | ||||
\(874\) | 15.2865 | − | 86.6938i | 0.0174902 | − | 0.0991920i | ||||
\(875\) | 173.913 | + | 129.473i | 0.198757 | + | 0.147969i | ||||
\(876\) | 106.986 | − | 100.625i | 0.122130 | − | 0.114869i | ||||
\(877\) | −640.270 | + | 678.646i | −0.730068 | + | 0.773827i | −0.980964 | − | 0.194187i | \(-0.937793\pi\) |
0.250897 | + | 0.968014i | \(0.419275\pi\) | |||||||
\(878\) | 543.791 | − | 162.800i | 0.619352 | − | 0.185422i | ||||
\(879\) | −1243.21 | − | 626.764i | −1.41435 | − | 0.713042i | ||||
\(880\) | 11.4879 | + | 1.34274i | 0.0130544 | + | 0.00152584i | ||||
\(881\) | −139.325 | + | 166.041i | −0.158144 | + | 0.188468i | −0.839298 | − | 0.543671i | \(-0.817034\pi\) |
0.681154 | + | 0.732140i | \(0.261478\pi\) | |||||||
\(882\) | 298.792 | + | 457.353i | 0.338766 | + | 0.518540i | ||||
\(883\) | −561.222 | + | 470.921i | −0.635586 | + | 0.533320i | −0.902659 | − | 0.430357i | \(-0.858388\pi\) |
0.267073 | + | 0.963676i | \(0.413943\pi\) | |||||||
\(884\) | −239.931 | − | 364.798i | −0.271415 | − | 0.412667i | ||||
\(885\) | −8.39325 | − | 23.1712i | −0.00948390 | − | 0.0261822i | ||||
\(886\) | 466.893 | + | 627.146i | 0.526967 | + | 0.707840i | ||||
\(887\) | 44.4389 | + | 88.4852i | 0.0501003 | + | 0.0997578i | 0.917290 | − | 0.398221i | \(-0.130372\pi\) |
−0.867189 | + | 0.497978i | \(0.834076\pi\) | |||||||
\(888\) | 230.343 | + | 310.401i | 0.259395 | + | 0.349550i | ||||
\(889\) | 23.4457 | − | 5.55672i | 0.0263731 | − | 0.00625053i | ||||
\(890\) | 421.561i | 0.473664i | ||||||||
\(891\) | 121.588 | + | 22.2123i | 0.136462 | + | 0.0249296i | ||||
\(892\) | −693.049 | −0.776961 | ||||||||
\(893\) | −84.2193 | − | 355.349i | −0.0943105 | − | 0.397927i | ||||
\(894\) | −73.1128 | − | 633.986i | −0.0817817 | − | 0.709157i | ||||
\(895\) | 342.618 | − | 172.069i | 0.382814 | − | 0.192256i | ||||
\(896\) | −22.3737 | + | 16.6566i | −0.0249707 | + | 0.0185900i | ||||
\(897\) | −227.774 | − | 191.724i | −0.253929 | − | 0.213739i | ||||
\(898\) | −879.057 | + | 578.165i | −0.978906 | + | 0.643836i | ||||
\(899\) | 22.3062 | + | 26.5835i | 0.0248122 | + | 0.0295700i | ||||
\(900\) | 231.076 | − | 308.401i | 0.256751 | − | 0.342668i | ||||
\(901\) | 429.811 | + | 360.654i | 0.477038 | + | 0.400282i | ||||
\(902\) | 3.78452 | − | 32.3787i | 0.00419570 | − | 0.0358965i | ||||
\(903\) | −96.2487 | − | 146.831i | −0.106588 | − | 0.162604i | ||||
\(904\) | 0.355562 | + | 1.18766i | 0.000393321 | + | 0.00131378i | ||||
\(905\) | 251.924 | + | 237.678i | 0.278369 | + | 0.262628i | ||||
\(906\) | −59.7488 | + | 198.462i | −0.0659479 | + | 0.219053i | ||||
\(907\) | 308.439 | − | 414.305i | 0.340065 | − | 0.456786i | −0.598888 | − | 0.800833i | \(-0.704390\pi\) |
0.938952 | + | 0.344047i | \(0.111798\pi\) | |||||||
\(908\) | 512.017 | + | 90.2824i | 0.563895 | + | 0.0994299i | ||||
\(909\) | −401.894 | + | 118.972i | −0.442128 | + | 0.130882i | ||||
\(910\) | −18.4016 | − | 104.361i | −0.0202216 | − | 0.114682i | ||||
\(911\) | 194.538 | − | 387.357i | 0.213543 | − | 0.425200i | −0.761203 | − | 0.648513i | \(-0.775391\pi\) |
0.974747 | + | 0.223313i | \(0.0716873\pi\) | |||||||
\(912\) | −77.4580 | − | 92.6001i | −0.0849320 | − | 0.101535i | ||||
\(913\) | −227.991 | + | 26.6483i | −0.249716 | + | 0.0291876i | ||||
\(914\) | −368.589 | + | 560.412i | −0.403270 | + | 0.613142i | ||||
\(915\) | 27.4223 | + | 6.54382i | 0.0299697 | + | 0.00715171i | ||||
\(916\) | −88.4471 | + | 295.434i | −0.0965580 | + | 0.322526i | ||||
\(917\) | −132.278 | + | 76.3709i | −0.144251 | + | 0.0832834i | ||||
\(918\) | −478.167 | + | 203.646i | −0.520880 | + | 0.221837i | ||||
\(919\) | 406.421 | − | 703.941i | 0.442242 | − | 0.765986i | −0.555613 | − | 0.831441i | \(-0.687517\pi\) |
0.997856 | + | 0.0654550i | \(0.0208499\pi\) | |||||||
\(920\) | −24.1214 | + | 22.7573i | −0.0262189 | + | 0.0247362i | ||||
\(921\) | −130.288 | + | 197.430i | −0.141464 | + | 0.214365i | ||||
\(922\) | 25.8831 | − | 444.396i | 0.0280728 | − | 0.481991i | ||||
\(923\) | 574.926 | + | 247.999i | 0.622889 | + | 0.268688i | ||||
\(924\) | 11.2561 | + | 19.5656i | 0.0121819 | + | 0.0211749i | ||||
\(925\) | −56.7062 | − | 973.608i | −0.0613040 | − | 1.05255i | ||||
\(926\) | 249.232 | − | 684.758i | 0.269149 | − | 0.739480i | ||||
\(927\) | 1216.46 | + | 1027.13i | 1.31226 | + | 1.10802i | ||||
\(928\) | −3.68644 | + | 1.34176i | −0.00397246 | + | 0.00144586i | ||||
\(929\) | 803.719 | − | 346.690i | 0.865144 | − | 0.373187i | 0.0831982 | − | 0.996533i | \(-0.473487\pi\) |
0.781946 | + | 0.623346i | \(0.214227\pi\) | |||||||
\(930\) | 369.635 | − | 158.770i | 0.397458 | − | 0.170721i | ||||
\(931\) | −420.170 | − | 99.5822i | −0.451311 | − | 0.106963i | ||||
\(932\) | −28.1053 | + | 118.586i | −0.0301559 | + | 0.127238i | ||||
\(933\) | −1104.74 | − | 130.851i | −1.18407 | − | 0.140247i | ||||
\(934\) | 438.977 | + | 1017.66i | 0.469997 | + | 1.08958i | ||||
\(935\) | 13.4609 | + | 36.9836i | 0.0143967 | + | 0.0395547i | ||||
\(936\) | −402.308 | + | 69.6608i | −0.429816 | + | 0.0744239i | ||||
\(937\) | 494.572 | + | 180.009i | 0.527825 | + | 0.192113i | 0.592167 | − | 0.805815i | \(-0.298273\pi\) |
−0.0643420 | + | 0.997928i | \(0.520495\pi\) | |||||||
\(938\) | 31.8117 | − | 1.85282i | 0.0339144 | − | 0.00197529i | ||||
\(939\) | 271.196 | + | 157.132i | 0.288813 | + | 0.167340i | ||||
\(940\) | −54.4895 | + | 126.321i | −0.0579675 | + | 0.134384i | ||||
\(941\) | −259.067 | − | 15.0889i | −0.275311 | − | 0.0160350i | −0.0800658 | − | 0.996790i | \(-0.525513\pi\) |
−0.195245 | + | 0.980755i | \(0.562550\pi\) | |||||||
\(942\) | 497.206 | − | 248.748i | 0.527820 | − | 0.264064i | ||||
\(943\) | 64.1416 | + | 67.9861i | 0.0680187 | + | 0.0720956i | ||||
\(944\) | −15.0175 | − | 8.67033i | −0.0159083 | − | 0.00918467i | ||||
\(945\) | −126.138 | − | 0.582762i | −0.133479 | − | 0.000616679i | ||||
\(946\) | 25.6120 | + | 44.3614i | 0.0270740 | + | 0.0468936i | ||||
\(947\) | −529.158 | − | 158.419i | −0.558772 | − | 0.167286i | −0.00505071 | − | 0.999987i | \(-0.501608\pi\) |
−0.553722 | + | 0.832702i | \(0.686793\pi\) | |||||||
\(948\) | −108.941 | + | 32.4320i | −0.114916 | + | 0.0342110i | ||||
\(949\) | 328.030 | + | 215.749i | 0.345659 | + | 0.227343i | ||||
\(950\) | 35.3621 | + | 302.542i | 0.0372232 | + | 0.318465i | ||||
\(951\) | −172.318 | − | 986.142i | −0.181197 | − | 1.03695i | ||||
\(952\) | −84.8188 | − | 42.5976i | −0.0890954 | − | 0.0447454i | ||||
\(953\) | 734.145 | − | 129.450i | 0.770352 | − | 0.135834i | 0.225360 | − | 0.974275i | \(-0.427644\pi\) |
0.544991 | + | 0.838442i | \(0.316533\pi\) | |||||||
\(954\) | 469.584 | − | 234.026i | 0.492226 | − | 0.245310i | ||||
\(955\) | −18.9772 | + | 107.625i | −0.0198714 | + | 0.112696i | ||||
\(956\) | −8.39515 | − | 6.24996i | −0.00878154 | − | 0.00653762i | ||||
\(957\) | 0.727376 | + | 3.09024i | 0.000760058 | + | 0.00322909i | ||||
\(958\) | 578.090 | − | 612.740i | 0.603434 | − | 0.639603i | ||||
\(959\) | 261.505 | − | 78.2894i | 0.272685 | − | 0.0816365i | ||||
\(960\) | 2.57441 | + | 45.4055i | 0.00268168 | + | 0.0472973i | ||||
\(961\) | −1532.50 | − | 179.123i | −1.59469 | − | 0.186392i | ||||
\(962\) | −664.181 | + | 791.540i | −0.690417 | + | 0.822807i | ||||
\(963\) | −737.256 | − | 223.197i | −0.765583 | − | 0.231772i | ||||
\(964\) | 136.063 | − | 114.171i | 0.141144 | − | 0.118434i | ||||
\(965\) | −72.1585 | − | 109.712i | −0.0747757 | − | 0.113691i | ||||
\(966\) | −63.7187 | − | 11.3365i | −0.0659614 | − | 0.0117355i | ||||
\(967\) | 473.825 | + | 636.457i | 0.489995 | + | 0.658177i | 0.976504 | − | 0.215498i | \(-0.0691375\pi\) |
−0.486509 | + | 0.873675i | \(0.661730\pi\) | |||||||
\(968\) | 150.641 | + | 299.951i | 0.155621 | + | 0.309867i | ||||
\(969\) | 163.291 | − | 376.955i | 0.168515 | − | 0.389014i | ||||
\(970\) | 426.343 | − | 101.045i | 0.439529 | − | 0.104170i | ||||
\(971\) | 34.9131i | 0.0359559i | 0.999838 | + | 0.0179779i | \(0.00572286\pi\) | ||||
−0.999838 | + | 0.0179779i | \(0.994277\pi\) | |||||||
\(972\) | −3.74218 | + | 485.986i | −0.00384998 | + | 0.499985i | ||||
\(973\) | −448.150 | −0.460586 | ||||||||
\(974\) | −59.0883 | − | 249.313i | −0.0606656 | − | 0.255968i | ||||
\(975\) | 945.288 | + | 409.485i | 0.969526 | + | 0.419985i | ||||
\(976\) | 17.7269 | − | 8.90280i | 0.0181628 | − | 0.00912173i | ||||
\(977\) | −650.863 | + | 484.550i | −0.666185 | + | 0.495957i | −0.876328 | − | 0.481714i | \(-0.840014\pi\) |
0.210143 | + | 0.977671i | \(0.432607\pi\) | |||||||
\(978\) | 148.990 | − | 837.420i | 0.152341 | − | 0.856258i | ||||
\(979\) | 200.551 | − | 131.905i | 0.204853 | − | 0.134734i | ||||
\(980\) | 104.561 | + | 124.610i | 0.106694 | + | 0.127153i | ||||
\(981\) | −1387.79 | + | 324.400i | −1.41467 | + | 0.330683i | ||||
\(982\) | −183.522 | − | 153.993i | −0.186886 | − | 0.156816i | ||||
\(983\) | −20.7976 | + | 177.935i | −0.0211573 | + | 0.181012i | −0.999685 | − | 0.0251039i | \(-0.992008\pi\) |
0.978528 | + | 0.206116i | \(0.0660824\pi\) | |||||||
\(984\) | 127.975 | − | 7.25598i | 0.130056 | − | 0.00737397i | ||||
\(985\) | 2.95429 | + | 9.86803i | 0.00299928 | + | 0.0100183i | ||||
\(986\) | −9.70992 | − | 9.16083i | −0.00984778 | − | 0.00929091i | ||||
\(987\) | −261.343 | + | 61.5144i | −0.264785 | + | 0.0623246i | ||||
\(988\) | 192.718 | − | 258.865i | 0.195058 | − | 0.262009i | ||||
\(989\) | −144.638 | − | 25.5036i | −0.146247 | − | 0.0257873i | ||||
\(990\) | 36.7341 | + | 2.25306i | 0.0371051 | + | 0.00227582i | ||||
\(991\) | 25.7541 | + | 146.059i | 0.0259880 | + | 0.147385i | 0.995041 | − | 0.0994688i | \(-0.0317144\pi\) |
−0.969053 | + | 0.246854i | \(0.920603\pi\) | |||||||
\(992\) | 127.039 | − | 252.956i | 0.128064 | − | 0.254996i | ||||
\(993\) | 658.789 | − | 115.117i | 0.663433 | − | 0.115928i | ||||
\(994\) | 135.189 | − | 15.8013i | 0.136005 | − | 0.0158967i | ||||
\(995\) | 119.345 | − | 181.456i | 0.119945 | − | 0.182368i | ||||
\(996\) | −257.528 | − | 865.051i | −0.258563 | − | 0.868526i | ||||
\(997\) | 412.887 | − | 1379.14i | 0.414129 | − | 1.38329i | −0.455787 | − | 0.890089i | \(-0.650642\pi\) |
0.869916 | − | 0.493199i | \(-0.164173\pi\) | |||||||
\(998\) | 253.787 | − | 146.524i | 0.254296 | − | 0.146818i | ||||
\(999\) | 786.226 | + | 945.827i | 0.787013 | + | 0.946774i |
(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 | 162.3.h.a.5.2 | ✓ | 324 | |
81.65 | odd | 54 | inner | 162.3.h.a.65.2 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.3.h.a.5.2 | ✓ | 324 | 1.1 | even | 1 | trivial | |
162.3.h.a.65.2 | yes | 324 | 81.65 | odd | 54 | inner |