Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(119,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.b (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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.38 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.1 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.77988i | 1.88994i | 0.327155 | + | 0.944971i | \(0.393910\pi\) | ||||
−0.327155 | + | 0.944971i | \(0.606090\pi\) | |||||||
\(3\) | 2.45428 | + | 1.72526i | 0.818092 | + | 0.575087i | ||||
\(4\) | −10.2875 | −2.57188 | ||||||||
\(5\) | 1.62741i | 0.325482i | 0.986669 | + | 0.162741i | \(0.0520335\pi\) | ||||
−0.986669 | + | 0.162741i | \(0.947966\pi\) | |||||||
\(6\) | −6.52128 | + | 9.27688i | −1.08688 | + | 1.54615i | ||||
\(7\) | −7.78423 | −1.11203 | −0.556017 | − | 0.831171i | \(-0.687671\pi\) | ||||
−0.556017 | + | 0.831171i | \(0.687671\pi\) | |||||||
\(8\) | − | 23.7661i | − | 2.97076i | ||||||
\(9\) | 3.04695 | + | 8.46854i | 0.338550 | + | 0.940948i | ||||
\(10\) | −6.15142 | −0.615142 | ||||||||
\(11\) | − | 2.72883i | − | 0.248075i | −0.992278 | − | 0.124038i | \(-0.960416\pi\) | ||
0.992278 | − | 0.124038i | \(-0.0395843\pi\) | |||||||
\(12\) | −25.2484 | − | 17.7486i | −2.10403 | − | 1.47905i | ||||
\(13\) | 9.61474 | 0.739595 | 0.369798 | − | 0.929112i | \(-0.379427\pi\) | ||||
0.369798 | + | 0.929112i | \(0.379427\pi\) | |||||||
\(14\) | − | 29.4235i | − | 2.10168i | ||||||
\(15\) | −2.80771 | + | 3.99412i | −0.187181 | + | 0.266274i | ||||
\(16\) | 48.6829 | 3.04268 | ||||||||
\(17\) | 27.3790i | 1.61053i | 0.592915 | + | 0.805265i | \(0.297977\pi\) | ||||
−0.592915 | + | 0.805265i | \(0.702023\pi\) | |||||||
\(18\) | −32.0101 | + | 11.5171i | −1.77834 | + | 0.639840i | ||||
\(19\) | −27.7110 | −1.45847 | −0.729236 | − | 0.684262i | \(-0.760124\pi\) | ||||
−0.729236 | + | 0.684262i | \(0.760124\pi\) | |||||||
\(20\) | − | 16.7420i | − | 0.837101i | ||||||
\(21\) | −19.1047 | − | 13.4298i | −0.909746 | − | 0.639516i | ||||
\(22\) | 10.3146 | 0.468847 | ||||||||
\(23\) | 3.53027i | 0.153490i | 0.997051 | + | 0.0767449i | \(0.0244527\pi\) | ||||
−0.997051 | + | 0.0767449i | \(0.975547\pi\) | |||||||
\(24\) | 41.0027 | − | 58.3285i | 1.70845 | − | 2.43036i | ||||
\(25\) | 22.3515 | 0.894061 | ||||||||
\(26\) | 36.3426i | 1.39779i | ||||||||
\(27\) | −7.13238 | + | 26.0409i | −0.264162 | + | 0.964478i | ||||
\(28\) | 80.0804 | 2.86002 | ||||||||
\(29\) | 6.30381i | 0.217373i | 0.994076 | + | 0.108686i | \(0.0346644\pi\) | ||||
−0.994076 | + | 0.108686i | \(0.965336\pi\) | |||||||
\(30\) | −15.0973 | − | 10.6128i | −0.503243 | − | 0.353760i | ||||
\(31\) | 39.9365 | 1.28828 | 0.644138 | − | 0.764910i | \(-0.277216\pi\) | ||||
0.644138 | + | 0.764910i | \(0.277216\pi\) | |||||||
\(32\) | 88.9515i | 2.77973i | ||||||||
\(33\) | 4.70794 | − | 6.69729i | 0.142665 | − | 0.202948i | ||||
\(34\) | −103.489 | −3.04381 | ||||||||
\(35\) | − | 12.6681i | − | 0.361947i | ||||||
\(36\) | −31.3455 | − | 87.1202i | −0.870710 | − | 2.42001i | ||||
\(37\) | 44.2391 | 1.19565 | 0.597825 | − | 0.801626i | \(-0.296032\pi\) | ||||
0.597825 | + | 0.801626i | \(0.296032\pi\) | |||||||
\(38\) | − | 104.744i | − | 2.75643i | ||||||
\(39\) | 23.5972 | + | 16.5879i | 0.605057 | + | 0.425332i | ||||
\(40\) | 38.6772 | 0.966929 | ||||||||
\(41\) | 50.1258i | 1.22258i | 0.791406 | + | 0.611290i | \(0.209349\pi\) | ||||
−0.791406 | + | 0.611290i | \(0.790651\pi\) | |||||||
\(42\) | 50.7632 | − | 72.2134i | 1.20865 | − | 1.71937i | ||||
\(43\) | −53.9729 | −1.25518 | −0.627591 | − | 0.778543i | \(-0.715959\pi\) | ||||
−0.627591 | + | 0.778543i | \(0.715959\pi\) | |||||||
\(44\) | 28.0728i | 0.638019i | ||||||||
\(45\) | −13.7818 | + | 4.95864i | −0.306262 | + | 0.110192i | ||||
\(46\) | −13.3440 | −0.290087 | ||||||||
\(47\) | − | 47.0156i | − | 1.00033i | −0.865929 | − | 0.500166i | \(-0.833272\pi\) | ||
0.865929 | − | 0.500166i | \(-0.166728\pi\) | |||||||
\(48\) | 119.481 | + | 83.9907i | 2.48920 | + | 1.74981i | ||||
\(49\) | 11.5943 | 0.236618 | ||||||||
\(50\) | 84.4862i | 1.68972i | ||||||||
\(51\) | −47.2359 | + | 67.1957i | −0.926195 | + | 1.31756i | ||||
\(52\) | −98.9118 | −1.90215 | ||||||||
\(53\) | 9.97840i | 0.188272i | 0.995559 | + | 0.0941358i | \(0.0300088\pi\) | ||||
−0.995559 | + | 0.0941358i | \(0.969991\pi\) | |||||||
\(54\) | −98.4316 | − | 26.9595i | −1.82281 | − | 0.499251i | ||||
\(55\) | 4.44092 | 0.0807440 | ||||||||
\(56\) | 185.001i | 3.30358i | ||||||||
\(57\) | −68.0104 | − | 47.8086i | −1.19316 | − | 0.838748i | ||||
\(58\) | −23.8277 | −0.410822 | ||||||||
\(59\) | − | 7.68115i | − | 0.130189i | ||||||
\(60\) | 28.8843 | − | 41.0895i | 0.481406 | − | 0.684826i | ||||
\(61\) | −71.5942 | −1.17368 | −0.586838 | − | 0.809705i | \(-0.699627\pi\) | ||||
−0.586838 | + | 0.809705i | \(0.699627\pi\) | |||||||
\(62\) | 150.955i | 2.43477i | ||||||||
\(63\) | −23.7182 | − | 65.9211i | −0.376479 | − | 1.04637i | ||||
\(64\) | −141.494 | −2.21085 | ||||||||
\(65\) | 15.6471i | 0.240725i | ||||||||
\(66\) | 25.3150 | + | 17.7955i | 0.383560 | + | 0.269628i | ||||
\(67\) | 86.8469 | 1.29622 | 0.648111 | − | 0.761546i | \(-0.275559\pi\) | ||||
0.648111 | + | 0.761546i | \(0.275559\pi\) | |||||||
\(68\) | − | 281.662i | − | 4.14209i | ||||||
\(69\) | −6.09063 | + | 8.66425i | −0.0882700 | + | 0.125569i | ||||
\(70\) | 47.8841 | 0.684059 | ||||||||
\(71\) | 119.483i | 1.68285i | 0.540372 | + | 0.841426i | \(0.318283\pi\) | ||||
−0.540372 | + | 0.841426i | \(0.681717\pi\) | |||||||
\(72\) | 201.264 | − | 72.4140i | 2.79533 | − | 1.00575i | ||||
\(73\) | 16.4375 | 0.225172 | 0.112586 | − | 0.993642i | \(-0.464087\pi\) | ||||
0.112586 | + | 0.993642i | \(0.464087\pi\) | |||||||
\(74\) | 167.219i | 2.25971i | ||||||||
\(75\) | 54.8569 | + | 38.5622i | 0.731425 | + | 0.514163i | ||||
\(76\) | 285.077 | 3.75101 | ||||||||
\(77\) | 21.2418i | 0.275868i | ||||||||
\(78\) | −62.7005 | + | 89.1948i | −0.803852 | + | 1.14352i | ||||
\(79\) | 127.483 | 1.61371 | 0.806854 | − | 0.590751i | \(-0.201169\pi\) | ||||
0.806854 | + | 0.590751i | \(0.201169\pi\) | |||||||
\(80\) | 79.2271i | 0.990339i | ||||||||
\(81\) | −62.4322 | + | 51.6064i | −0.770768 | + | 0.637116i | ||||
\(82\) | −189.470 | −2.31061 | ||||||||
\(83\) | − | 125.458i | − | 1.51155i | −0.654833 | − | 0.755774i | \(-0.727261\pi\) | ||
0.654833 | − | 0.755774i | \(-0.272739\pi\) | |||||||
\(84\) | 196.540 | + | 138.160i | 2.33976 | + | 1.64476i | ||||
\(85\) | −44.5569 | −0.524199 | ||||||||
\(86\) | − | 204.011i | − | 2.37222i | ||||||
\(87\) | −10.8757 | + | 15.4713i | −0.125008 | + | 0.177831i | ||||
\(88\) | −64.8535 | −0.736971 | ||||||||
\(89\) | − | 137.168i | − | 1.54121i | −0.637313 | − | 0.770605i | \(-0.719954\pi\) | ||
0.637313 | − | 0.770605i | \(-0.280046\pi\) | |||||||
\(90\) | −18.7431 | − | 52.0935i | −0.208256 | − | 0.578817i | ||||
\(91\) | −74.8434 | −0.822455 | ||||||||
\(92\) | − | 36.3177i | − | 0.394757i | ||||||
\(93\) | 98.0153 | + | 68.9009i | 1.05393 | + | 0.740870i | ||||
\(94\) | 177.714 | 1.89057 | ||||||||
\(95\) | − | 45.0971i | − | 0.474707i | ||||||
\(96\) | −153.464 | + | 218.312i | −1.59859 | + | 2.27408i | ||||
\(97\) | 0.0640655 | 0.000660469 | 0.000330234 | − | 1.00000i | \(-0.499895\pi\) | ||||
0.000330234 | 1.00000i | \(0.499895\pi\) | ||||||||
\(98\) | 43.8251i | 0.447195i | ||||||||
\(99\) | 23.1092 | − | 8.31459i | 0.233426 | − | 0.0839858i | ||||
\(100\) | −229.942 | −2.29942 | ||||||||
\(101\) | 131.783i | 1.30478i | 0.757881 | + | 0.652392i | \(0.226235\pi\) | ||||
−0.757881 | + | 0.652392i | \(0.773765\pi\) | |||||||
\(102\) | −253.992 | − | 178.546i | −2.49012 | − | 1.75045i | ||||
\(103\) | 55.5732 | 0.539546 | 0.269773 | − | 0.962924i | \(-0.413051\pi\) | ||||
0.269773 | + | 0.962924i | \(0.413051\pi\) | |||||||
\(104\) | − | 228.505i | − | 2.19716i | ||||||
\(105\) | 21.8559 | − | 31.0911i | 0.208151 | − | 0.296106i | ||||
\(106\) | −37.7172 | −0.355822 | ||||||||
\(107\) | 9.15117i | 0.0855250i | 0.999085 | + | 0.0427625i | \(0.0136159\pi\) | ||||
−0.999085 | + | 0.0427625i | \(0.986384\pi\) | |||||||
\(108\) | 73.3744 | − | 267.896i | 0.679393 | − | 2.48052i | ||||
\(109\) | 40.4952 | 0.371516 | 0.185758 | − | 0.982596i | \(-0.440526\pi\) | ||||
0.185758 | + | 0.982596i | \(0.440526\pi\) | |||||||
\(110\) | 16.7862i | 0.152601i | ||||||||
\(111\) | 108.575 | + | 76.3240i | 0.978153 | + | 0.687603i | ||||
\(112\) | −378.959 | −3.38356 | ||||||||
\(113\) | − | 116.150i | − | 1.02787i | −0.857828 | − | 0.513937i | \(-0.828187\pi\) | ||
0.857828 | − | 0.513937i | \(-0.171813\pi\) | |||||||
\(114\) | 180.711 | − | 257.071i | 1.58518 | − | 2.25501i | ||||
\(115\) | −5.74519 | −0.0499582 | ||||||||
\(116\) | − | 64.8505i | − | 0.559056i | ||||||
\(117\) | 29.2956 | + | 81.4228i | 0.250390 | + | 0.695921i | ||||
\(118\) | 29.0338 | 0.246049 | ||||||||
\(119\) | − | 213.125i | − | 1.79096i | ||||||
\(120\) | 94.9245 | + | 66.7282i | 0.791037 | + | 0.556068i | ||||
\(121\) | 113.554 | 0.938459 | ||||||||
\(122\) | − | 270.618i | − | 2.21818i | ||||||
\(123\) | −86.4801 | + | 123.023i | −0.703090 | + | 1.00018i | ||||
\(124\) | −410.848 | −3.31329 | ||||||||
\(125\) | 77.0604i | 0.616483i | ||||||||
\(126\) | 249.174 | − | 89.6519i | 1.97757 | − | 0.711523i | ||||
\(127\) | −66.5716 | −0.524186 | −0.262093 | − | 0.965043i | \(-0.584413\pi\) | ||||
−0.262093 | + | 0.965043i | \(0.584413\pi\) | |||||||
\(128\) | − | 179.027i | − | 1.39864i | ||||||
\(129\) | −132.464 | − | 93.1173i | −1.02686 | − | 0.721839i | ||||
\(130\) | −59.1443 | −0.454956 | ||||||||
\(131\) | − | 66.2829i | − | 0.505976i | −0.967469 | − | 0.252988i | \(-0.918587\pi\) | ||
0.967469 | − | 0.252988i | \(-0.0814133\pi\) | |||||||
\(132\) | −48.4330 | + | 68.8985i | −0.366916 | + | 0.521959i | ||||
\(133\) | 215.709 | 1.62187 | ||||||||
\(134\) | 328.271i | 2.44978i | ||||||||
\(135\) | −42.3793 | − | 11.6073i | −0.313921 | − | 0.0859800i | ||||
\(136\) | 650.692 | 4.78450 | ||||||||
\(137\) | − | 49.1043i | − | 0.358425i | −0.983810 | − | 0.179213i | \(-0.942645\pi\) | ||
0.983810 | − | 0.179213i | \(-0.0573550\pi\) | |||||||
\(138\) | −32.7498 | − | 23.0219i | −0.237318 | − | 0.166825i | ||||
\(139\) | 227.787 | 1.63875 | 0.819377 | − | 0.573254i | \(-0.194319\pi\) | ||||
0.819377 | + | 0.573254i | \(0.194319\pi\) | |||||||
\(140\) | 130.324i | 0.930884i | ||||||||
\(141\) | 81.1142 | − | 115.389i | 0.575278 | − | 0.818364i | ||||
\(142\) | −451.630 | −3.18049 | ||||||||
\(143\) | − | 26.2370i | − | 0.183475i | ||||||
\(144\) | 148.334 | + | 412.273i | 1.03010 | + | 2.86301i | ||||
\(145\) | −10.2589 | −0.0707509 | ||||||||
\(146\) | 62.1319i | 0.425561i | ||||||||
\(147\) | 28.4556 | + | 20.0032i | 0.193576 | + | 0.136076i | ||||
\(148\) | −455.110 | −3.07507 | ||||||||
\(149\) | − | 23.3606i | − | 0.156783i | −0.996923 | − | 0.0783914i | \(-0.975022\pi\) | ||
0.996923 | − | 0.0783914i | \(-0.0249784\pi\) | |||||||
\(150\) | −145.761 | + | 207.352i | −0.971738 | + | 1.38235i | ||||
\(151\) | 133.696 | 0.885406 | 0.442703 | − | 0.896668i | \(-0.354020\pi\) | ||||
0.442703 | + | 0.896668i | \(0.354020\pi\) | |||||||
\(152\) | 658.581i | 4.33277i | ||||||||
\(153\) | −231.860 | + | 83.4225i | −1.51543 | + | 0.545245i | ||||
\(154\) | −80.2916 | −0.521374 | ||||||||
\(155\) | 64.9932i | 0.419311i | ||||||||
\(156\) | −242.757 | − | 170.649i | −1.55613 | − | 1.09390i | ||||
\(157\) | 194.685 | 1.24003 | 0.620016 | − | 0.784589i | \(-0.287126\pi\) | ||||
0.620016 | + | 0.784589i | \(0.287126\pi\) | |||||||
\(158\) | 481.870i | 3.04981i | ||||||||
\(159\) | −17.2153 | + | 24.4897i | −0.108273 | + | 0.154024i | ||||
\(160\) | −144.761 | −0.904754 | ||||||||
\(161\) | − | 27.4804i | − | 0.170686i | ||||||
\(162\) | −195.066 | − | 235.986i | −1.20411 | − | 1.45671i | ||||
\(163\) | 27.5035 | 0.168733 | 0.0843665 | − | 0.996435i | \(-0.473113\pi\) | ||||
0.0843665 | + | 0.996435i | \(0.473113\pi\) | |||||||
\(164\) | − | 515.670i | − | 3.14433i | ||||||
\(165\) | 10.8992 | + | 7.66175i | 0.0660561 | + | 0.0464348i | ||||
\(166\) | 474.218 | 2.85674 | ||||||||
\(167\) | 83.9120i | 0.502467i | 0.967927 | + | 0.251233i | \(0.0808362\pi\) | ||||
−0.967927 | + | 0.251233i | \(0.919164\pi\) | |||||||
\(168\) | −319.174 | + | 454.043i | −1.89985 | + | 2.70264i | ||||
\(169\) | −76.5567 | −0.452999 | ||||||||
\(170\) | − | 168.420i | − | 0.990705i | ||||||
\(171\) | −84.4339 | − | 234.671i | −0.493766 | − | 1.37235i | ||||
\(172\) | 555.247 | 3.22818 | ||||||||
\(173\) | 237.213i | 1.37118i | 0.727990 | + | 0.685588i | \(0.240455\pi\) | ||||
−0.727990 | + | 0.685588i | \(0.759545\pi\) | |||||||
\(174\) | −58.4797 | − | 41.1089i | −0.336090 | − | 0.236258i | ||||
\(175\) | −173.990 | −0.994226 | ||||||||
\(176\) | − | 132.847i | − | 0.754814i | ||||||
\(177\) | 13.2520 | − | 18.8517i | 0.0748699 | − | 0.106507i | ||||
\(178\) | 518.478 | 2.91280 | ||||||||
\(179\) | − | 226.853i | − | 1.26733i | −0.773606 | − | 0.633667i | \(-0.781549\pi\) | ||
0.773606 | − | 0.633667i | \(-0.218451\pi\) | |||||||
\(180\) | 141.780 | − | 51.0121i | 0.787669 | − | 0.283400i | ||||
\(181\) | −108.540 | −0.599666 | −0.299833 | − | 0.953992i | \(-0.596931\pi\) | ||||
−0.299833 | + | 0.953992i | \(0.596931\pi\) | |||||||
\(182\) | − | 282.899i | − | 1.55439i | ||||||
\(183\) | −175.712 | − | 123.519i | −0.960175 | − | 0.674966i | ||||
\(184\) | 83.9005 | 0.455981 | ||||||||
\(185\) | 71.9952i | 0.389163i | ||||||||
\(186\) | −260.438 | + | 370.486i | −1.40020 | + | 1.99186i | ||||
\(187\) | 74.7126 | 0.399532 | ||||||||
\(188\) | 483.674i | 2.57273i | ||||||||
\(189\) | 55.5201 | − | 202.709i | 0.293757 | − | 1.07253i | ||||
\(190\) | 170.462 | 0.897168 | ||||||||
\(191\) | − | 0.101903i | − | 0.000533522i | −1.00000 | 0.000266761i | \(-0.999915\pi\) | |||
1.00000 | 0.000266761i | \(-8.49127e-5\pi\) | ||||||||
\(192\) | −347.266 | − | 244.115i | −1.80868 | − | 1.27143i | ||||
\(193\) | −162.720 | −0.843108 | −0.421554 | − | 0.906803i | \(-0.638515\pi\) | ||||
−0.421554 | + | 0.906803i | \(0.638515\pi\) | |||||||
\(194\) | 0.242160i | 0.00124825i | ||||||||
\(195\) | −26.9954 | + | 38.4024i | −0.138438 | + | 0.196935i | ||||
\(196\) | −119.276 | −0.608553 | ||||||||
\(197\) | − | 208.516i | − | 1.05846i | −0.848479 | − | 0.529230i | \(-0.822481\pi\) | ||
0.848479 | − | 0.529230i | \(-0.177519\pi\) | |||||||
\(198\) | 31.4282 | + | 87.3499i | 0.158728 | + | 0.441161i | ||||
\(199\) | −43.8940 | −0.220573 | −0.110286 | − | 0.993900i | \(-0.535177\pi\) | ||||
−0.110286 | + | 0.993900i | \(0.535177\pi\) | |||||||
\(200\) | − | 531.208i | − | 2.65604i | ||||||
\(201\) | 213.146 | + | 149.834i | 1.06043 | + | 0.745441i | ||||
\(202\) | −498.125 | −2.46597 | ||||||||
\(203\) | − | 49.0703i | − | 0.241726i | ||||||
\(204\) | 485.941 | − | 691.277i | 2.38206 | − | 3.38861i | ||||
\(205\) | −81.5753 | −0.397928 | ||||||||
\(206\) | 210.060i | 1.01971i | ||||||||
\(207\) | −29.8962 | + | 10.7565i | −0.144426 | + | 0.0519640i | ||||
\(208\) | 468.074 | 2.25035 | ||||||||
\(209\) | 75.6184i | 0.361811i | ||||||||
\(210\) | 117.521 | + | 82.6126i | 0.559623 | + | 0.393393i | ||||
\(211\) | −297.742 | −1.41110 | −0.705550 | − | 0.708660i | \(-0.749300\pi\) | ||||
−0.705550 | + | 0.708660i | \(0.749300\pi\) | |||||||
\(212\) | − | 102.653i | − | 0.484212i | ||||||
\(213\) | −206.139 | + | 293.243i | −0.967786 | + | 1.37673i | ||||
\(214\) | −34.5904 | −0.161637 | ||||||||
\(215\) | − | 87.8360i | − | 0.408540i | ||||||
\(216\) | 618.890 | + | 169.509i | 2.86523 | + | 0.784762i | ||||
\(217\) | −310.875 | −1.43261 | ||||||||
\(218\) | 153.067i | 0.702143i | ||||||||
\(219\) | 40.3422 | + | 28.3590i | 0.184211 | + | 0.129493i | ||||
\(220\) | −45.6860 | −0.207664 | ||||||||
\(221\) | 263.242i | 1.19114i | ||||||||
\(222\) | −288.496 | + | 410.401i | −1.29953 | + | 1.84865i | ||||
\(223\) | −297.595 | −1.33451 | −0.667254 | − | 0.744830i | \(-0.732530\pi\) | ||||
−0.667254 | + | 0.744830i | \(0.732530\pi\) | |||||||
\(224\) | − | 692.419i | − | 3.09116i | ||||||
\(225\) | 68.1040 | + | 189.285i | 0.302684 | + | 0.841266i | ||||
\(226\) | 439.032 | 1.94262 | ||||||||
\(227\) | − | 66.8134i | − | 0.294332i | −0.989112 | − | 0.147166i | \(-0.952985\pi\) | ||
0.989112 | − | 0.147166i | \(-0.0470152\pi\) | |||||||
\(228\) | 699.658 | + | 491.832i | 3.06867 | + | 2.15716i | ||||
\(229\) | 92.6270 | 0.404485 | 0.202242 | − | 0.979336i | \(-0.435177\pi\) | ||||
0.202242 | + | 0.979336i | \(0.435177\pi\) | |||||||
\(230\) | − | 21.7162i | − | 0.0944181i | ||||||
\(231\) | −36.6477 | + | 52.1333i | −0.158648 | + | 0.225685i | ||||
\(232\) | 149.817 | 0.645762 | ||||||||
\(233\) | − | 31.5019i | − | 0.135201i | −0.997712 | − | 0.0676007i | \(-0.978466\pi\) | ||
0.997712 | − | 0.0676007i | \(-0.0215344\pi\) | |||||||
\(234\) | −307.769 | + | 110.734i | −1.31525 | + | 0.473222i | ||||
\(235\) | 76.5138 | 0.325590 | ||||||||
\(236\) | 79.0199i | 0.334830i | ||||||||
\(237\) | 312.878 | + | 219.941i | 1.32016 | + | 0.928022i | ||||
\(238\) | 805.586 | 3.38482 | ||||||||
\(239\) | 208.641i | 0.872973i | 0.899711 | + | 0.436487i | \(0.143777\pi\) | ||||
−0.899711 | + | 0.436487i | \(0.856223\pi\) | |||||||
\(240\) | −136.687 | + | 194.445i | −0.569531 | + | 0.810189i | ||||
\(241\) | 368.093 | 1.52736 | 0.763679 | − | 0.645596i | \(-0.223391\pi\) | ||||
0.763679 | + | 0.645596i | \(0.223391\pi\) | |||||||
\(242\) | 429.219i | 1.77363i | ||||||||
\(243\) | −242.260 | + | 18.9446i | −0.996956 | + | 0.0779612i | ||||
\(244\) | 736.527 | 3.01855 | ||||||||
\(245\) | 18.8687i | 0.0770150i | ||||||||
\(246\) | −465.011 | − | 326.885i | −1.89029 | − | 1.32880i | ||||
\(247\) | −266.434 | −1.07868 | ||||||||
\(248\) | − | 949.135i | − | 3.82716i | ||||||
\(249\) | 216.449 | − | 307.910i | 0.869272 | − | 1.23659i | ||||
\(250\) | −291.279 | −1.16512 | ||||||||
\(251\) | − | 262.798i | − | 1.04701i | −0.852024 | − | 0.523503i | \(-0.824625\pi\) | ||
0.852024 | − | 0.523503i | \(-0.175375\pi\) | |||||||
\(252\) | 244.001 | + | 678.164i | 0.968258 | + | 2.69113i | ||||
\(253\) | 9.63348 | 0.0380770 | ||||||||
\(254\) | − | 251.633i | − | 0.990680i | ||||||
\(255\) | −109.355 | − | 76.8723i | −0.428843 | − | 0.301460i | ||||
\(256\) | 110.722 | 0.432506 | ||||||||
\(257\) | − | 86.3269i | − | 0.335902i | −0.985795 | − | 0.167951i | \(-0.946285\pi\) | ||
0.985795 | − | 0.167951i | \(-0.0537151\pi\) | |||||||
\(258\) | 351.972 | − | 500.700i | 1.36423 | − | 1.94070i | ||||
\(259\) | −344.367 | −1.32960 | ||||||||
\(260\) | − | 160.970i | − | 0.619116i | ||||||
\(261\) | −53.3840 | + | 19.2074i | −0.204536 | + | 0.0735915i | ||||
\(262\) | 250.541 | 0.956265 | ||||||||
\(263\) | − | 198.233i | − | 0.753737i | −0.926267 | − | 0.376868i | \(-0.877001\pi\) | ||
0.926267 | − | 0.376868i | \(-0.122999\pi\) | |||||||
\(264\) | −159.168 | − | 111.889i | −0.602911 | − | 0.423823i | ||||
\(265\) | −16.2390 | −0.0612791 | ||||||||
\(266\) | 815.353i | 3.06524i | ||||||||
\(267\) | 236.650 | − | 336.647i | 0.886330 | − | 1.26085i | ||||
\(268\) | −893.439 | −3.33373 | ||||||||
\(269\) | 265.983i | 0.988784i | 0.869239 | + | 0.494392i | \(0.164609\pi\) | ||||
−0.869239 | + | 0.494392i | \(0.835391\pi\) | |||||||
\(270\) | 43.8743 | − | 160.189i | 0.162497 | − | 0.593291i | ||||
\(271\) | −55.0011 | −0.202956 | −0.101478 | − | 0.994838i | \(-0.532357\pi\) | ||||
−0.101478 | + | 0.994838i | \(0.532357\pi\) | |||||||
\(272\) | 1332.89i | 4.90033i | ||||||||
\(273\) | −183.686 | − | 129.124i | −0.672844 | − | 0.472983i | ||||
\(274\) | 185.608 | 0.677403 | ||||||||
\(275\) | − | 60.9934i | − | 0.221794i | ||||||
\(276\) | 62.6574 | − | 89.1336i | 0.227020 | − | 0.322948i | ||||
\(277\) | 57.8384 | 0.208803 | 0.104401 | − | 0.994535i | \(-0.466707\pi\) | ||||
0.104401 | + | 0.994535i | \(0.466707\pi\) | |||||||
\(278\) | 861.008i | 3.09715i | ||||||||
\(279\) | 121.685 | + | 338.204i | 0.436146 | + | 1.21220i | ||||
\(280\) | −301.072 | −1.07526 | ||||||||
\(281\) | 204.730i | 0.728578i | 0.931286 | + | 0.364289i | \(0.118688\pi\) | ||||
−0.931286 | + | 0.364289i | \(0.881312\pi\) | |||||||
\(282\) | 436.158 | + | 306.602i | 1.54666 | + | 1.08724i | ||||
\(283\) | −245.355 | −0.866980 | −0.433490 | − | 0.901158i | \(-0.642718\pi\) | ||||
−0.433490 | + | 0.901158i | \(0.642718\pi\) | |||||||
\(284\) | − | 1229.18i | − | 4.32809i | ||||||
\(285\) | 77.8043 | − | 110.681i | 0.272998 | − | 0.388354i | ||||
\(286\) | 99.1726 | 0.346757 | ||||||||
\(287\) | − | 390.191i | − | 1.35955i | ||||||
\(288\) | −753.289 | + | 271.031i | −2.61559 | + | 0.941078i | ||||
\(289\) | −460.611 | −1.59381 | ||||||||
\(290\) | − | 38.7774i | − | 0.133715i | ||||||
\(291\) | 0.157234 | + | 0.110530i | 0.000540324 | + | 0.000379827i | ||||
\(292\) | −169.101 | −0.579114 | ||||||||
\(293\) | − | 444.473i | − | 1.51697i | −0.651690 | − | 0.758486i | \(-0.725940\pi\) | ||
0.651690 | − | 0.758486i | \(-0.274060\pi\) | |||||||
\(294\) | −75.6097 | + | 107.559i | −0.257176 | + | 0.365846i | ||||
\(295\) | 12.5004 | 0.0423742 | ||||||||
\(296\) | − | 1051.39i | − | 3.55199i | ||||||
\(297\) | 71.0611 | + | 19.4630i | 0.239263 | + | 0.0655320i | ||||
\(298\) | 88.3005 | 0.296310 | ||||||||
\(299\) | 33.9426i | 0.113520i | ||||||||
\(300\) | −564.341 | − | 396.710i | −1.88114 | − | 1.32237i | ||||
\(301\) | 420.137 | 1.39581 | ||||||||
\(302\) | 505.356i | 1.67337i | ||||||||
\(303\) | −227.361 | + | 323.433i | −0.750365 | + | 1.06743i | ||||
\(304\) | −1349.05 | −4.43767 | ||||||||
\(305\) | − | 116.513i | − | 0.382010i | ||||||
\(306\) | −315.327 | − | 876.404i | −1.03048 | − | 2.86407i | ||||
\(307\) | −383.922 | −1.25056 | −0.625281 | − | 0.780400i | \(-0.715015\pi\) | ||||
−0.625281 | + | 0.780400i | \(0.715015\pi\) | |||||||
\(308\) | − | 218.526i | − | 0.709499i | ||||||
\(309\) | 136.392 | + | 95.8783i | 0.441398 | + | 0.310286i | ||||
\(310\) | −245.667 | −0.792473 | ||||||||
\(311\) | − | 99.6589i | − | 0.320447i | −0.987081 | − | 0.160223i | \(-0.948779\pi\) | ||
0.987081 | − | 0.160223i | \(-0.0512214\pi\) | |||||||
\(312\) | 394.230 | − | 560.814i | 1.26356 | − | 1.79748i | ||||
\(313\) | −230.288 | −0.735743 | −0.367872 | − | 0.929877i | \(-0.619913\pi\) | ||||
−0.367872 | + | 0.929877i | \(0.619913\pi\) | |||||||
\(314\) | 735.887i | 2.34359i | ||||||||
\(315\) | 107.281 | − | 38.5992i | 0.340574 | − | 0.122537i | ||||
\(316\) | −1311.48 | −4.15026 | ||||||||
\(317\) | 455.975i | 1.43841i | 0.694799 | + | 0.719204i | \(0.255493\pi\) | ||||
−0.694799 | + | 0.719204i | \(0.744507\pi\) | |||||||
\(318\) | −92.5684 | − | 65.0720i | −0.291096 | − | 0.204629i | ||||
\(319\) | 17.2020 | 0.0539247 | ||||||||
\(320\) | − | 230.270i | − | 0.719592i | ||||||
\(321\) | −15.7882 | + | 22.4595i | −0.0491843 | + | 0.0699673i | ||||
\(322\) | 103.873 | 0.322586 | ||||||||
\(323\) | − | 758.699i | − | 2.34891i | ||||||
\(324\) | 642.272 | − | 530.902i | 1.98232 | − | 1.63859i | ||||
\(325\) | 214.904 | 0.661244 | ||||||||
\(326\) | 103.960i | 0.318895i | ||||||||
\(327\) | 99.3864 | + | 69.8648i | 0.303934 | + | 0.213654i | ||||
\(328\) | 1191.29 | 3.63199 | ||||||||
\(329\) | 365.981i | 1.11240i | ||||||||
\(330\) | −28.9605 | + | 41.1979i | −0.0877591 | + | 0.124842i | ||||
\(331\) | −578.942 | −1.74907 | −0.874535 | − | 0.484963i | \(-0.838833\pi\) | ||||
−0.874535 | + | 0.484963i | \(0.838833\pi\) | |||||||
\(332\) | 1290.66i | 3.88752i | ||||||||
\(333\) | 134.794 | + | 374.640i | 0.404788 | + | 1.12505i | ||||
\(334\) | −317.177 | −0.949633 | ||||||||
\(335\) | 141.336i | 0.421897i | ||||||||
\(336\) | −930.071 | − | 653.804i | −2.76807 | − | 1.94584i | ||||
\(337\) | 161.282 | 0.478581 | 0.239291 | − | 0.970948i | \(-0.423085\pi\) | ||||
0.239291 | + | 0.970948i | \(0.423085\pi\) | |||||||
\(338\) | − | 289.376i | − | 0.856141i | ||||||
\(339\) | 200.389 | − | 285.064i | 0.591117 | − | 0.840895i | ||||
\(340\) | 458.380 | 1.34818 | ||||||||
\(341\) | − | 108.980i | − | 0.319589i | ||||||
\(342\) | 887.030 | − | 319.150i | 2.59366 | − | 0.933188i | ||||
\(343\) | 291.175 | 0.848906 | ||||||||
\(344\) | 1282.72i | 3.72885i | ||||||||
\(345\) | −14.1003 | − | 9.91196i | −0.0408704 | − | 0.0287303i | ||||
\(346\) | −896.639 | −2.59144 | ||||||||
\(347\) | − | 332.681i | − | 0.958735i | −0.877614 | − | 0.479367i | \(-0.840866\pi\) | ||
0.877614 | − | 0.479367i | \(-0.159134\pi\) | |||||||
\(348\) | 111.884 | − | 159.161i | 0.321506 | − | 0.457360i | ||||
\(349\) | 135.069 | 0.387018 | 0.193509 | − | 0.981099i | \(-0.438013\pi\) | ||||
0.193509 | + | 0.981099i | \(0.438013\pi\) | |||||||
\(350\) | − | 657.660i | − | 1.87903i | ||||||
\(351\) | −68.5760 | + | 250.377i | −0.195373 | + | 0.713324i | ||||
\(352\) | 242.733 | 0.689583 | ||||||||
\(353\) | 286.915i | 0.812789i | 0.913698 | + | 0.406395i | \(0.133214\pi\) | ||||
−0.913698 | + | 0.406395i | \(0.866786\pi\) | |||||||
\(354\) | 71.2571 | + | 50.0909i | 0.201291 | + | 0.141500i | ||||
\(355\) | −194.447 | −0.547738 | ||||||||
\(356\) | 1411.11i | 3.96380i | ||||||||
\(357\) | 367.696 | − | 523.067i | 1.02996 | − | 1.46517i | ||||
\(358\) | 857.478 | 2.39519 | ||||||||
\(359\) | 376.147i | 1.04776i | 0.851791 | + | 0.523881i | \(0.175517\pi\) | ||||
−0.851791 | + | 0.523881i | \(0.824483\pi\) | |||||||
\(360\) | 117.847 | + | 327.539i | 0.327354 | + | 0.909831i | ||||
\(361\) | 406.897 | 1.12714 | ||||||||
\(362\) | − | 410.267i | − | 1.13333i | ||||||
\(363\) | 278.692 | + | 195.909i | 0.767746 | + | 0.539695i | ||||
\(364\) | 769.953 | 2.11525 | ||||||||
\(365\) | 26.7506i | 0.0732893i | ||||||||
\(366\) | 466.886 | − | 664.171i | 1.27565 | − | 1.81467i | ||||
\(367\) | −226.341 | −0.616732 | −0.308366 | − | 0.951268i | \(-0.599782\pi\) | ||||
−0.308366 | + | 0.951268i | \(0.599782\pi\) | |||||||
\(368\) | 171.864i | 0.467021i | ||||||||
\(369\) | −424.492 | + | 152.731i | −1.15039 | + | 0.413905i | ||||
\(370\) | −272.133 | −0.735495 | ||||||||
\(371\) | − | 77.6742i | − | 0.209364i | ||||||
\(372\) | −1008.33 | − | 708.820i | −2.71058 | − | 1.90543i | ||||
\(373\) | 5.23611 | 0.0140378 | 0.00701891 | − | 0.999975i | \(-0.497766\pi\) | ||||
0.00701891 | + | 0.999975i | \(0.497766\pi\) | |||||||
\(374\) | 282.405i | 0.755093i | ||||||||
\(375\) | −132.949 | + | 189.128i | −0.354531 | + | 0.504340i | ||||
\(376\) | −1117.38 | −2.97175 | ||||||||
\(377\) | 60.6095i | 0.160768i | ||||||||
\(378\) | 766.215 | + | 209.859i | 2.02702 | + | 0.555184i | ||||
\(379\) | 99.8976 | 0.263582 | 0.131791 | − | 0.991278i | \(-0.457927\pi\) | ||||
0.131791 | + | 0.991278i | \(0.457927\pi\) | |||||||
\(380\) | 463.937i | 1.22089i | ||||||||
\(381\) | −163.385 | − | 114.853i | −0.428832 | − | 0.301452i | ||||
\(382\) | 0.385180 | 0.00100833 | ||||||||
\(383\) | − | 526.256i | − | 1.37404i | −0.726641 | − | 0.687018i | \(-0.758919\pi\) | ||
0.726641 | − | 0.687018i | \(-0.241081\pi\) | |||||||
\(384\) | 308.867 | − | 439.381i | 0.804342 | − | 1.14422i | ||||
\(385\) | −34.5692 | −0.0897900 | ||||||||
\(386\) | − | 615.062i | − | 1.59342i | ||||||
\(387\) | −164.453 | − | 457.071i | −0.424942 | − | 1.18106i | ||||
\(388\) | −0.659074 | −0.00169865 | ||||||||
\(389\) | 12.8702i | 0.0330854i | 0.999863 | + | 0.0165427i | \(0.00526595\pi\) | ||||
−0.999863 | + | 0.0165427i | \(0.994734\pi\) | |||||||
\(390\) | −145.157 | − | 102.039i | −0.372196 | − | 0.261640i | ||||
\(391\) | −96.6552 | −0.247200 | ||||||||
\(392\) | − | 275.551i | − | 0.702936i | ||||||
\(393\) | 114.355 | − | 162.676i | 0.290980 | − | 0.413935i | ||||
\(394\) | 788.168 | 2.00043 | ||||||||
\(395\) | 207.467i | 0.525233i | ||||||||
\(396\) | −237.736 | + | 85.5365i | −0.600343 | + | 0.216001i | ||||
\(397\) | −197.743 | −0.498092 | −0.249046 | − | 0.968492i | \(-0.580117\pi\) | ||||
−0.249046 | + | 0.968492i | \(0.580117\pi\) | |||||||
\(398\) | − | 165.914i | − | 0.416870i | ||||||
\(399\) | 529.409 | + | 372.154i | 1.32684 | + | 0.932716i | ||||
\(400\) | 1088.14 | 2.72035 | ||||||||
\(401\) | − | 37.8334i | − | 0.0943475i | −0.998887 | − | 0.0471738i | \(-0.984979\pi\) | ||
0.998887 | − | 0.0471738i | \(-0.0150214\pi\) | |||||||
\(402\) | −566.353 | + | 805.668i | −1.40884 | + | 2.00415i | ||||
\(403\) | 383.979 | 0.952803 | ||||||||
\(404\) | − | 1355.72i | − | 3.35575i | ||||||
\(405\) | −83.9848 | − | 101.603i | −0.207370 | − | 0.250871i | ||||
\(406\) | 185.480 | 0.456847 | ||||||||
\(407\) | − | 120.721i | − | 0.296611i | ||||||
\(408\) | 1596.98 | + | 1122.61i | 3.91416 | + | 2.75150i | ||||
\(409\) | 201.720 | 0.493203 | 0.246601 | − | 0.969117i | \(-0.420686\pi\) | ||||
0.246601 | + | 0.969117i | \(0.420686\pi\) | |||||||
\(410\) | − | 308.345i | − | 0.752061i | ||||||
\(411\) | 84.7177 | − | 120.515i | 0.206126 | − | 0.293225i | ||||
\(412\) | −571.711 | −1.38765 | ||||||||
\(413\) | 59.7918i | 0.144774i | ||||||||
\(414\) | −40.6585 | − | 113.004i | −0.0982088 | − | 0.272957i | ||||
\(415\) | 204.172 | 0.491982 | ||||||||
\(416\) | 855.245i | 2.05588i | ||||||||
\(417\) | 559.052 | + | 392.992i | 1.34065 | + | 0.942427i | ||||
\(418\) | −285.829 | −0.683801 | ||||||||
\(419\) | 362.156i | 0.864335i | 0.901793 | + | 0.432168i | \(0.142251\pi\) | ||||
−0.901793 | + | 0.432168i | \(0.857749\pi\) | |||||||
\(420\) | −224.842 | + | 319.851i | −0.535339 | + | 0.761549i | ||||
\(421\) | 459.569 | 1.09161 | 0.545806 | − | 0.837911i | \(-0.316223\pi\) | ||||
0.545806 | + | 0.837911i | \(0.316223\pi\) | |||||||
\(422\) | − | 1125.43i | − | 2.66690i | ||||||
\(423\) | 398.154 | − | 143.254i | 0.941262 | − | 0.338663i | ||||
\(424\) | 237.147 | 0.559310 | ||||||||
\(425\) | 611.963i | 1.43991i | ||||||||
\(426\) | −1108.42 | − | 779.179i | −2.60194 | − | 1.82906i | ||||
\(427\) | 557.306 | 1.30517 | ||||||||
\(428\) | − | 94.1428i | − | 0.219960i | ||||||
\(429\) | 45.2656 | − | 64.3928i | 0.105514 | − | 0.150100i | ||||
\(430\) | 332.010 | 0.772116 | ||||||||
\(431\) | − | 290.802i | − | 0.674714i | −0.941377 | − | 0.337357i | \(-0.890467\pi\) | ||
0.941377 | − | 0.337357i | \(-0.109533\pi\) | |||||||
\(432\) | −347.225 | + | 1267.75i | −0.803761 | + | 2.93460i | ||||
\(433\) | −687.774 | −1.58839 | −0.794196 | − | 0.607662i | \(-0.792108\pi\) | ||||
−0.794196 | + | 0.607662i | \(0.792108\pi\) | |||||||
\(434\) | − | 1175.07i | − | 2.70754i | ||||||
\(435\) | −25.1781 | − | 17.6993i | −0.0578808 | − | 0.0406879i | ||||
\(436\) | −416.595 | −0.955493 | ||||||||
\(437\) | − | 97.8270i | − | 0.223861i | ||||||
\(438\) | −107.194 | + | 152.489i | −0.244735 | + | 0.348148i | ||||
\(439\) | 335.293 | 0.763765 | 0.381882 | − | 0.924211i | \(-0.375276\pi\) | ||||
0.381882 | + | 0.924211i | \(0.375276\pi\) | |||||||
\(440\) | − | 105.543i | − | 0.239871i | ||||||
\(441\) | 35.3272 | + | 98.1867i | 0.0801071 | + | 0.222646i | ||||
\(442\) | −995.025 | −2.25119 | ||||||||
\(443\) | 303.866i | 0.685928i | 0.939348 | + | 0.342964i | \(0.111431\pi\) | ||||
−0.939348 | + | 0.342964i | \(0.888569\pi\) | |||||||
\(444\) | −1116.97 | − | 785.184i | −2.51569 | − | 1.76843i | ||||
\(445\) | 223.228 | 0.501636 | ||||||||
\(446\) | − | 1124.87i | − | 2.52214i | ||||||
\(447\) | 40.3032 | − | 57.3335i | 0.0901637 | − | 0.128263i | ||||
\(448\) | 1101.43 | 2.45854 | ||||||||
\(449\) | − | 144.114i | − | 0.320967i | −0.987039 | − | 0.160483i | \(-0.948695\pi\) | ||
0.987039 | − | 0.160483i | \(-0.0513053\pi\) | |||||||
\(450\) | −715.474 | + | 257.425i | −1.58994 | + | 0.572056i | ||||
\(451\) | 136.785 | 0.303292 | ||||||||
\(452\) | 1194.89i | 2.64357i | ||||||||
\(453\) | 328.128 | + | 230.661i | 0.724344 | + | 0.509185i | ||||
\(454\) | 252.547 | 0.556271 | ||||||||
\(455\) | − | 121.801i | − | 0.267694i | ||||||
\(456\) | −1136.22 | + | 1616.34i | −2.49172 | + | 3.54460i | ||||
\(457\) | 463.300 | 1.01379 | 0.506893 | − | 0.862009i | \(-0.330794\pi\) | ||||
0.506893 | + | 0.862009i | \(0.330794\pi\) | |||||||
\(458\) | 350.119i | 0.764452i | ||||||||
\(459\) | −712.975 | − | 195.277i | −1.55332 | − | 0.425441i | ||||
\(460\) | 59.1038 | 0.128486 | ||||||||
\(461\) | − | 390.113i | − | 0.846232i | −0.906076 | − | 0.423116i | \(-0.860936\pi\) | ||
0.906076 | − | 0.423116i | \(-0.139064\pi\) | |||||||
\(462\) | −197.058 | − | 138.524i | −0.426532 | − | 0.299835i | ||||
\(463\) | 335.403 | 0.724413 | 0.362207 | − | 0.932098i | \(-0.382023\pi\) | ||||
0.362207 | + | 0.932098i | \(0.382023\pi\) | |||||||
\(464\) | 306.888i | 0.661396i | ||||||||
\(465\) | −112.130 | + | 159.511i | −0.241140 | + | 0.343035i | ||||
\(466\) | 119.074 | 0.255523 | ||||||||
\(467\) | 434.067i | 0.929481i | 0.885447 | + | 0.464740i | \(0.153852\pi\) | ||||
−0.885447 | + | 0.464740i | \(0.846148\pi\) | |||||||
\(468\) | −301.379 | − | 837.638i | −0.643973 | − | 1.78983i | ||||
\(469\) | −676.037 | −1.44144 | ||||||||
\(470\) | 289.213i | 0.615347i | ||||||||
\(471\) | 477.811 | + | 335.883i | 1.01446 | + | 0.713126i | ||||
\(472\) | −182.551 | −0.386760 | ||||||||
\(473\) | 147.283i | 0.311380i | ||||||||
\(474\) | −831.352 | + | 1182.64i | −1.75391 | + | 2.49503i | ||||
\(475\) | −619.383 | −1.30396 | ||||||||
\(476\) | 2192.52i | 4.60614i | ||||||||
\(477\) | −84.5024 | + | 30.4037i | −0.177154 | + | 0.0637394i | ||||
\(478\) | −788.637 | −1.64987 | ||||||||
\(479\) | − | 627.445i | − | 1.30991i | −0.755669 | − | 0.654953i | \(-0.772688\pi\) | ||
0.755669 | − | 0.654953i | \(-0.227312\pi\) | |||||||
\(480\) | −355.283 | − | 249.750i | −0.740172 | − | 0.520312i | ||||
\(481\) | 425.347 | 0.884298 | ||||||||
\(482\) | 1391.35i | 2.88662i | ||||||||
\(483\) | 47.4109 | − | 67.4445i | 0.0981592 | − | 0.139637i | ||||
\(484\) | −1168.18 | −2.41360 | ||||||||
\(485\) | 0.104261i | 0.000214971i | ||||||||
\(486\) | −71.6083 | − | 915.716i | −0.147342 | − | 1.88419i | ||||
\(487\) | 199.609 | 0.409875 | 0.204938 | − | 0.978775i | \(-0.434301\pi\) | ||||
0.204938 | + | 0.978775i | \(0.434301\pi\) | |||||||
\(488\) | 1701.51i | 3.48671i | ||||||||
\(489\) | 67.5011 | + | 47.4507i | 0.138039 | + | 0.0970361i | ||||
\(490\) | −71.3214 | −0.145554 | ||||||||
\(491\) | 681.187i | 1.38735i | 0.720290 | + | 0.693674i | \(0.244009\pi\) | ||||
−0.720290 | + | 0.693674i | \(0.755991\pi\) | |||||||
\(492\) | 889.665 | − | 1265.60i | 1.80826 | − | 2.57235i | ||||
\(493\) | −172.592 | −0.350085 | ||||||||
\(494\) | − | 1007.09i | − | 2.03864i | ||||||
\(495\) | 13.5313 | + | 37.6081i | 0.0273359 | + | 0.0759760i | ||||
\(496\) | 1944.23 | 3.91981 | ||||||||
\(497\) | − | 930.080i | − | 1.87139i | ||||||
\(498\) | 1163.86 | + | 818.150i | 2.33707 | + | 1.64287i | ||||
\(499\) | 844.498 | 1.69238 | 0.846190 | − | 0.532881i | \(-0.178891\pi\) | ||||
0.846190 | + | 0.532881i | \(0.178891\pi\) | |||||||
\(500\) | − | 792.760i | − | 1.58552i | ||||||
\(501\) | −144.770 | + | 205.943i | −0.288962 | + | 0.411064i | ||||
\(502\) | 993.347 | 1.97878 | ||||||||
\(503\) | 306.629i | 0.609600i | 0.952416 | + | 0.304800i | \(0.0985896\pi\) | ||||
−0.952416 | + | 0.304800i | \(0.901410\pi\) | |||||||
\(504\) | −1566.68 | + | 563.688i | −3.10850 | + | 1.11843i | ||||
\(505\) | −214.466 | −0.424684 | ||||||||
\(506\) | 36.4134i | 0.0719633i | ||||||||
\(507\) | −187.891 | − | 132.080i | −0.370595 | − | 0.260514i | ||||
\(508\) | 684.856 | 1.34814 | ||||||||
\(509\) | − | 509.953i | − | 1.00187i | −0.865484 | − | 0.500936i | \(-0.832989\pi\) | ||
0.865484 | − | 0.500936i | \(-0.167011\pi\) | |||||||
\(510\) | 290.568 | − | 413.349i | 0.569742 | − | 0.810488i | ||||
\(511\) | −127.954 | −0.250398 | ||||||||
\(512\) | − | 297.591i | − | 0.581233i | ||||||
\(513\) | 197.645 | − | 721.619i | 0.385273 | − | 1.40666i | ||||
\(514\) | 326.306 | 0.634836 | ||||||||
\(515\) | 90.4405i | 0.175613i | ||||||||
\(516\) | 1362.73 | + | 957.945i | 2.64095 | + | 1.85648i | ||||
\(517\) | −128.297 | −0.248158 | ||||||||
\(518\) | − | 1301.67i | − | 2.51287i | ||||||
\(519\) | −409.255 | + | 582.187i | −0.788545 | + | 1.12175i | ||||
\(520\) | 371.871 | 0.715137 | ||||||||
\(521\) | − | 55.1618i | − | 0.105877i | −0.998598 | − | 0.0529384i | \(-0.983141\pi\) | ||
0.998598 | − | 0.0529384i | \(-0.0168587\pi\) | |||||||
\(522\) | −72.6017 | − | 201.785i | −0.139084 | − | 0.386562i | ||||
\(523\) | −855.419 | −1.63560 | −0.817801 | − | 0.575502i | \(-0.804807\pi\) | ||||
−0.817801 | + | 0.575502i | \(0.804807\pi\) | |||||||
\(524\) | 681.886i | 1.30131i | ||||||||
\(525\) | −427.019 | − | 300.177i | −0.813369 | − | 0.571766i | ||||
\(526\) | 749.297 | 1.42452 | ||||||||
\(527\) | 1093.42i | 2.07481i | ||||||||
\(528\) | 229.196 | − | 326.044i | 0.434084 | − | 0.617507i | ||||
\(529\) | 516.537 | 0.976441 | ||||||||
\(530\) | − | 61.3813i | − | 0.115814i | ||||||
\(531\) | 65.0481 | − | 23.4041i | 0.122501 | − | 0.0440754i | ||||
\(532\) | −2219.11 | −4.17125 | ||||||||
\(533\) | 481.947i | 0.904215i | ||||||||
\(534\) | 1272.49 | + | 894.509i | 2.38294 | + | 1.67511i | ||||
\(535\) | −14.8927 | −0.0278369 | ||||||||
\(536\) | − | 2064.01i | − | 3.85077i | ||||||
\(537\) | 391.381 | − | 556.760i | 0.728828 | − | 1.03680i | ||||
\(538\) | −1005.38 | −1.86874 | ||||||||
\(539\) | − | 31.6388i | − | 0.0586991i | ||||||
\(540\) | 435.977 | + | 119.410i | 0.807366 | + | 0.221130i | ||||
\(541\) | 436.832 | 0.807452 | 0.403726 | − | 0.914880i | \(-0.367715\pi\) | ||||
0.403726 | + | 0.914880i | \(0.367715\pi\) | |||||||
\(542\) | − | 207.898i | − | 0.383575i | ||||||
\(543\) | −266.386 | − | 187.259i | −0.490582 | − | 0.344860i | ||||
\(544\) | −2435.40 | −4.47684 | ||||||||
\(545\) | 65.9023i | 0.120922i | ||||||||
\(546\) | 488.075 | − | 694.313i | 0.893910 | − | 1.27164i | ||||
\(547\) | 515.478 | 0.942372 | 0.471186 | − | 0.882034i | \(-0.343826\pi\) | ||||
0.471186 | + | 0.882034i | \(0.343826\pi\) | |||||||
\(548\) | 505.161i | 0.921826i | ||||||||
\(549\) | −218.144 | − | 606.298i | −0.397348 | − | 1.10437i | ||||
\(550\) | 230.548 | 0.419178 | ||||||||
\(551\) | − | 174.685i | − | 0.317032i | ||||||
\(552\) | 205.915 | + | 144.750i | 0.373035 | + | 0.262229i | ||||
\(553\) | −992.357 | −1.79450 | ||||||||
\(554\) | 218.622i | 0.394625i | ||||||||
\(555\) | −124.210 | + | 176.696i | −0.223803 | + | 0.318371i | ||||
\(556\) | −2343.36 | −4.21468 | ||||||||
\(557\) | − | 79.9557i | − | 0.143547i | −0.997421 | − | 0.0717735i | \(-0.977134\pi\) | ||
0.997421 | − | 0.0717735i | \(-0.0228659\pi\) | |||||||
\(558\) | −1278.37 | + | 459.954i | −2.29099 | + | 0.824290i | ||||
\(559\) | −518.935 | −0.928328 | ||||||||
\(560\) | − | 616.722i | − | 1.10129i | ||||||
\(561\) | 183.365 | + | 128.899i | 0.326854 | + | 0.229766i | ||||
\(562\) | −773.857 | −1.37697 | ||||||||
\(563\) | 83.9743i | 0.149155i | 0.997215 | + | 0.0745775i | \(0.0237608\pi\) | ||||
−0.997215 | + | 0.0745775i | \(0.976239\pi\) | |||||||
\(564\) | −834.464 | + | 1187.07i | −1.47955 | + | 2.10473i | ||||
\(565\) | 189.023 | 0.334555 | ||||||||
\(566\) | − | 927.415i | − | 1.63854i | ||||||
\(567\) | 485.987 | − | 401.716i | 0.857120 | − | 0.708494i | ||||
\(568\) | 2839.63 | 4.99935 | ||||||||
\(569\) | 269.476i | 0.473596i | 0.971559 | + | 0.236798i | \(0.0760980\pi\) | ||||
−0.971559 | + | 0.236798i | \(0.923902\pi\) | |||||||
\(570\) | 418.361 | + | 294.091i | 0.733966 | + | 0.515949i | ||||
\(571\) | −301.627 | −0.528243 | −0.264122 | − | 0.964489i | \(-0.585082\pi\) | ||||
−0.264122 | + | 0.964489i | \(0.585082\pi\) | |||||||
\(572\) | 269.913i | 0.471876i | ||||||||
\(573\) | 0.175809 | − | 0.250098i | 0.000306822 | − | 0.000436470i | ||||
\(574\) | 1474.88 | 2.56947 | ||||||||
\(575\) | 78.9068i | 0.137229i | ||||||||
\(576\) | −431.126 | − | 1198.25i | −0.748483 | − | 2.08030i | ||||
\(577\) | −31.1811 | −0.0540400 | −0.0270200 | − | 0.999635i | \(-0.508602\pi\) | ||||
−0.0270200 | + | 0.999635i | \(0.508602\pi\) | |||||||
\(578\) | − | 1741.05i | − | 3.01220i | ||||||
\(579\) | −399.359 | − | 280.734i | −0.689740 | − | 0.484860i | ||||
\(580\) | 105.538 | 0.181963 | ||||||||
\(581\) | 976.598i | 1.68089i | ||||||||
\(582\) | −0.417789 | + | 0.594327i | −0.000717851 | + | 0.00102118i | ||||
\(583\) | 27.2293 | 0.0467055 | ||||||||
\(584\) | − | 390.656i | − | 0.668931i | ||||||
\(585\) | −132.508 | + | 47.6760i | −0.226510 | + | 0.0814975i | ||||
\(586\) | 1680.05 | 2.86699 | ||||||||
\(587\) | 250.764i | 0.427196i | 0.976922 | + | 0.213598i | \(0.0685183\pi\) | ||||
−0.976922 | + | 0.213598i | \(0.931482\pi\) | |||||||
\(588\) | −292.737 | − | 205.783i | −0.497853 | − | 0.349971i | ||||
\(589\) | −1106.68 | −1.87891 | ||||||||
\(590\) | 47.2500i | 0.0800847i | ||||||||
\(591\) | 359.745 | − | 511.757i | 0.608706 | − | 0.865917i | ||||
\(592\) | 2153.69 | 3.63799 | ||||||||
\(593\) | 517.385i | 0.872488i | 0.899828 | + | 0.436244i | \(0.143692\pi\) | ||||
−0.899828 | + | 0.436244i | \(0.856308\pi\) | |||||||
\(594\) | −73.5679 | + | 268.603i | −0.123852 | + | 0.452193i | ||||
\(595\) | 346.841 | 0.582927 | ||||||||
\(596\) | 240.323i | 0.403226i | ||||||||
\(597\) | −107.728 | − | 75.7286i | −0.180449 | − | 0.126849i | ||||
\(598\) | −128.299 | −0.214547 | ||||||||
\(599\) | − | 716.875i | − | 1.19679i | −0.801202 | − | 0.598393i | \(-0.795806\pi\) | ||
0.801202 | − | 0.598393i | \(-0.204194\pi\) | |||||||
\(600\) | 916.473 | − | 1303.73i | 1.52745 | − | 2.17289i | ||||
\(601\) | −459.122 | −0.763931 | −0.381965 | − | 0.924177i | \(-0.624753\pi\) | ||||
−0.381965 | + | 0.924177i | \(0.624753\pi\) | |||||||
\(602\) | 1588.07i | 2.63799i | ||||||||
\(603\) | 264.618 | + | 735.466i | 0.438836 | + | 1.21968i | ||||
\(604\) | −1375.40 | −2.27716 | ||||||||
\(605\) | 184.798i | 0.305452i | ||||||||
\(606\) | −1222.54 | − | 859.396i | −2.01739 | − | 1.41815i | ||||
\(607\) | −226.409 | −0.372996 | −0.186498 | − | 0.982455i | \(-0.559714\pi\) | ||||
−0.186498 | + | 0.982455i | \(0.559714\pi\) | |||||||
\(608\) | − | 2464.93i | − | 4.05416i | ||||||
\(609\) | 84.6591 | − | 120.432i | 0.139013 | − | 0.197754i | ||||
\(610\) | 440.406 | 0.721977 | ||||||||
\(611\) | − | 452.043i | − | 0.739842i | ||||||
\(612\) | 2385.27 | − | 858.210i | 3.89749 | − | 1.40230i | ||||
\(613\) | 397.612 | 0.648634 | 0.324317 | − | 0.945949i | \(-0.394866\pi\) | ||||
0.324317 | + | 0.945949i | \(0.394866\pi\) | |||||||
\(614\) | − | 1451.18i | − | 2.36349i | ||||||
\(615\) | −200.208 | − | 140.739i | −0.325542 | − | 0.228843i | ||||
\(616\) | 504.835 | 0.819537 | ||||||||
\(617\) | 872.102i | 1.41346i | 0.707486 | + | 0.706728i | \(0.249829\pi\) | ||||
−0.707486 | + | 0.706728i | \(0.750171\pi\) | |||||||
\(618\) | −362.409 | + | 515.546i | −0.586422 | + | 0.834217i | ||||
\(619\) | 784.482 | 1.26734 | 0.633669 | − | 0.773605i | \(-0.281548\pi\) | ||||
0.633669 | + | 0.773605i | \(0.281548\pi\) | |||||||
\(620\) | − | 668.618i | − | 1.07842i | ||||||
\(621\) | −91.9313 | − | 25.1792i | −0.148038 | − | 0.0405462i | ||||
\(622\) | 376.699 | 0.605625 | ||||||||
\(623\) | 1067.75i | 1.71388i | ||||||||
\(624\) | 1148.78 | + | 807.549i | 1.84100 | + | 1.29415i | ||||
\(625\) | 433.379 | 0.693407 | ||||||||
\(626\) | − | 870.460i | − | 1.39051i | ||||||
\(627\) | −130.461 | + | 185.588i | −0.208073 | + | 0.295994i | ||||
\(628\) | −2002.83 | −3.18921 | ||||||||
\(629\) | 1211.22i | 1.92563i | ||||||||
\(630\) | 145.900 | + | 405.508i | 0.231588 | + | 0.643664i | ||||
\(631\) | 969.299 | 1.53613 | 0.768066 | − | 0.640371i | \(-0.221219\pi\) | ||||
0.768066 | + | 0.640371i | \(0.221219\pi\) | |||||||
\(632\) | − | 3029.77i | − | 4.79394i | ||||||
\(633\) | −730.742 | − | 513.683i | −1.15441 | − | 0.811506i | ||||
\(634\) | −1723.53 | −2.71851 | ||||||||
\(635\) | − | 108.339i | − | 0.170613i | ||||||
\(636\) | 177.103 | − | 251.939i | 0.278464 | − | 0.396130i | ||||
\(637\) | 111.476 | 0.175002 | ||||||||
\(638\) | 65.0215i | 0.101915i | ||||||||
\(639\) | −1011.84 | + | 364.057i | −1.58348 | + | 0.569730i | ||||
\(640\) | 291.350 | 0.455234 | ||||||||
\(641\) | − | 690.806i | − | 1.07770i | −0.842402 | − | 0.538850i | \(-0.818859\pi\) | ||
0.842402 | − | 0.538850i | \(-0.181141\pi\) | |||||||
\(642\) | −84.8943 | − | 59.6774i | −0.132234 | − | 0.0929555i | ||||
\(643\) | −237.937 | −0.370043 | −0.185021 | − | 0.982735i | \(-0.559235\pi\) | ||||
−0.185021 | + | 0.982735i | \(0.559235\pi\) | |||||||
\(644\) | 282.705i | 0.438983i | ||||||||
\(645\) | 151.540 | − | 215.574i | 0.234946 | − | 0.334223i | ||||
\(646\) | 2867.79 | 4.43931 | ||||||||
\(647\) | 509.640i | 0.787698i | 0.919175 | + | 0.393849i | \(0.128857\pi\) | ||||
−0.919175 | + | 0.393849i | \(0.871143\pi\) | |||||||
\(648\) | 1226.48 | + | 1483.77i | 1.89272 | + | 2.28977i | ||||
\(649\) | −20.9605 | −0.0322966 | ||||||||
\(650\) | 812.313i | 1.24971i | ||||||||
\(651\) | −762.974 | − | 536.341i | −1.17200 | − | 0.823873i | ||||
\(652\) | −282.942 | −0.433961 | ||||||||
\(653\) | − | 529.277i | − | 0.810531i | −0.914199 | − | 0.405265i | \(-0.867179\pi\) | ||
0.914199 | − | 0.405265i | \(-0.132821\pi\) | |||||||
\(654\) | −264.081 | + | 375.669i | −0.403793 | + | 0.574418i | ||||
\(655\) | 107.869 | 0.164686 | ||||||||
\(656\) | 2440.27i | 3.71992i | ||||||||
\(657\) | 50.0843 | + | 139.202i | 0.0762318 | + | 0.211875i | ||||
\(658\) | −1383.36 | −2.10238 | ||||||||
\(659\) | 132.453i | 0.200991i | 0.994938 | + | 0.100495i | \(0.0320427\pi\) | ||||
−0.994938 | + | 0.100495i | \(0.967957\pi\) | |||||||
\(660\) | −112.126 | − | 78.8204i | −0.169888 | − | 0.119425i | ||||
\(661\) | 310.745 | 0.470114 | 0.235057 | − | 0.971982i | \(-0.424472\pi\) | ||||
0.235057 | + | 0.971982i | \(0.424472\pi\) | |||||||
\(662\) | − | 2188.33i | − | 3.30564i | ||||||
\(663\) | −454.161 | + | 646.069i | −0.685010 | + | 0.974463i | ||||
\(664\) | −2981.66 | −4.49045 | ||||||||
\(665\) | 351.047i | 0.527890i | ||||||||
\(666\) | −1416.10 | + | 509.506i | −2.12627 | + | 0.765025i | ||||
\(667\) | −22.2541 | −0.0333645 | ||||||||
\(668\) | − | 863.246i | − | 1.29228i | ||||||
\(669\) | −730.381 | − | 513.429i | −1.09175 | − | 0.767458i | ||||
\(670\) | −534.232 | −0.797361 | ||||||||
\(671\) | 195.368i | 0.291160i | ||||||||
\(672\) | 1194.60 | − | 1699.39i | 1.77768 | − | 2.52885i | ||||
\(673\) | −722.988 | −1.07428 | −0.537138 | − | 0.843494i | \(-0.680495\pi\) | ||||
−0.537138 | + | 0.843494i | \(0.680495\pi\) | |||||||
\(674\) | 609.627i | 0.904491i | ||||||||
\(675\) | −159.420 | + | 582.054i | −0.236177 | + | 0.862303i | ||||
\(676\) | 787.579 | 1.16506 | ||||||||
\(677\) | 619.452i | 0.914995i | 0.889211 | + | 0.457498i | \(0.151254\pi\) | ||||
−0.889211 | + | 0.457498i | \(0.848746\pi\) | |||||||
\(678\) | 1077.51 | + | 757.445i | 1.58924 | + | 1.11718i | ||||
\(679\) | −0.498700 | −0.000734463 | ||||||||
\(680\) | 1058.94i | 1.55727i | ||||||||
\(681\) | 115.271 | − | 163.979i | 0.169267 | − | 0.240791i | ||||
\(682\) | 411.931 | 0.604005 | ||||||||
\(683\) | 329.882i | 0.482989i | 0.970402 | + | 0.241495i | \(0.0776376\pi\) | ||||
−0.970402 | + | 0.241495i | \(0.922362\pi\) | |||||||
\(684\) | 868.615 | + | 2414.18i | 1.26991 | + | 3.52951i | ||||
\(685\) | 79.9128 | 0.116661 | ||||||||
\(686\) | 1100.61i | 1.60438i | ||||||||
\(687\) | 227.332 | + | 159.806i | 0.330906 | + | 0.232614i | ||||
\(688\) | −2627.56 | −3.81912 | ||||||||
\(689\) | 95.9397i | 0.139245i | ||||||||
\(690\) | 37.4660 | − | 53.2975i | 0.0542986 | − | 0.0772427i | ||||
\(691\) | 1065.98 | 1.54266 | 0.771331 | − | 0.636435i | \(-0.219591\pi\) | ||||
0.771331 | + | 0.636435i | \(0.219591\pi\) | |||||||
\(692\) | − | 2440.34i | − | 3.52650i | ||||||
\(693\) | −179.887 | + | 64.7227i | −0.259577 | + | 0.0933950i | ||||
\(694\) | 1257.50 | 1.81195 | ||||||||
\(695\) | 370.703i | 0.533386i | ||||||||
\(696\) | 367.692 | + | 258.473i | 0.528293 | + | 0.371369i | ||||
\(697\) | −1372.40 | −1.96900 | ||||||||
\(698\) | 510.546i | 0.731441i | ||||||||
\(699\) | 54.3490 | − | 77.3144i | 0.0777525 | − | 0.110607i | ||||
\(700\) | 1789.92 | 2.55703 | ||||||||
\(701\) | − | 716.616i | − | 1.02228i | −0.859498 | − | 0.511138i | \(-0.829224\pi\) | ||
0.859498 | − | 0.511138i | \(-0.170776\pi\) | |||||||
\(702\) | −946.394 | − | 259.209i | −1.34814 | − | 0.369244i | ||||
\(703\) | −1225.91 | −1.74382 | ||||||||
\(704\) | 386.114i | 0.548457i | ||||||||
\(705\) | 187.786 | + | 132.006i | 0.266363 | + | 0.187243i | ||||
\(706\) | −1084.50 | −1.53612 | ||||||||
\(707\) | − | 1025.83i | − | 1.45096i | ||||||
\(708\) | −136.330 | + | 193.937i | −0.192556 | + | 0.273922i | ||||
\(709\) | −271.634 | −0.383123 | −0.191561 | − | 0.981481i | \(-0.561355\pi\) | ||||
−0.191561 | + | 0.981481i | \(0.561355\pi\) | |||||||
\(710\) | − | 734.987i | − | 1.03519i | ||||||
\(711\) | 388.434 | + | 1079.59i | 0.546321 | + | 1.51842i | ||||
\(712\) | −3259.94 | −4.57856 | ||||||||
\(713\) | 140.987i | 0.197737i | ||||||||
\(714\) | 1977.13 | + | 1389.85i | 2.76909 | + | 1.94656i | ||||
\(715\) | 42.6983 | 0.0597179 | ||||||||
\(716\) | 2333.75i | 3.25943i | ||||||||
\(717\) | −359.959 | + | 512.062i | −0.502035 | + | 0.714172i | ||||
\(718\) | −1421.79 | −1.98021 | ||||||||
\(719\) | − | 810.340i | − | 1.12704i | −0.826103 | − | 0.563519i | \(-0.809447\pi\) | ||
0.826103 | − | 0.563519i | \(-0.190553\pi\) | |||||||
\(720\) | −670.938 | + | 241.401i | −0.931858 | + | 0.335279i | ||||
\(721\) | −432.595 | −0.599993 | ||||||||
\(722\) | 1538.02i | 2.13023i | ||||||||
\(723\) | 903.403 | + | 635.057i | 1.24952 | + | 0.878364i | ||||
\(724\) | 1116.60 | 1.54227 | ||||||||
\(725\) | 140.900i | 0.194345i | ||||||||
\(726\) | −740.515 | + | 1053.42i | −1.01999 | + | 1.45099i | ||||
\(727\) | 1389.13 | 1.91078 | 0.955388 | − | 0.295354i | \(-0.0954375\pi\) | ||||
0.955388 | + | 0.295354i | \(0.0954375\pi\) | |||||||
\(728\) | 1778.73i | 2.44332i | ||||||||
\(729\) | −627.258 | − | 371.467i | −0.860437 | − | 0.509557i | ||||
\(730\) | −101.114 | −0.138513 | ||||||||
\(731\) | − | 1477.72i | − | 2.02151i | ||||||
\(732\) | 1807.64 | + | 1270.70i | 2.46945 | + | 1.73593i | ||||
\(733\) | 426.964 | 0.582489 | 0.291244 | − | 0.956649i | \(-0.405931\pi\) | ||||
0.291244 | + | 0.956649i | \(0.405931\pi\) | |||||||
\(734\) | − | 855.541i | − | 1.16559i | ||||||
\(735\) | −32.5534 | + | 46.3090i | −0.0442903 | + | 0.0630054i | ||||
\(736\) | −314.022 | −0.426661 | ||||||||
\(737\) | − | 236.990i | − | 0.321560i | ||||||
\(738\) | −577.305 | − | 1604.53i | −0.782255 | − | 2.17416i | ||||
\(739\) | −637.653 | −0.862859 | −0.431430 | − | 0.902147i | \(-0.641991\pi\) | ||||
−0.431430 | + | 0.902147i | \(0.641991\pi\) | |||||||
\(740\) | − | 740.651i | − | 1.00088i | ||||||
\(741\) | −653.902 | − | 459.668i | −0.882459 | − | 0.620334i | ||||
\(742\) | 293.599 | 0.395686 | ||||||||
\(743\) | − | 824.103i | − | 1.10916i | −0.832132 | − | 0.554578i | \(-0.812880\pi\) | ||
0.832132 | − | 0.554578i | \(-0.187120\pi\) | |||||||
\(744\) | 1637.51 | − | 2329.44i | 2.20095 | − | 3.13097i | ||||
\(745\) | 38.0174 | 0.0510300 | ||||||||
\(746\) | 19.7919i | 0.0265307i | ||||||||
\(747\) | 1062.45 | − | 382.266i | 1.42229 | − | 0.511734i | ||||
\(748\) | −768.607 | −1.02755 | ||||||||
\(749\) | − | 71.2349i | − | 0.0951066i | ||||||
\(750\) | −714.880 | − | 502.533i | −0.953173 | − | 0.670044i | ||||
\(751\) | 313.749 | 0.417775 | 0.208888 | − | 0.977940i | \(-0.433016\pi\) | ||||
0.208888 | + | 0.977940i | \(0.433016\pi\) | |||||||
\(752\) | − | 2288.86i | − | 3.04370i | ||||||
\(753\) | 453.396 | − | 644.980i | 0.602119 | − | 0.856547i | ||||
\(754\) | −229.097 | −0.303842 | ||||||||
\(755\) | 217.579i | 0.288184i | ||||||||
\(756\) | −571.164 | + | 2085.37i | −0.755508 | + | 2.75842i | ||||
\(757\) | −681.004 | −0.899608 | −0.449804 | − | 0.893127i | \(-0.648506\pi\) | ||||
−0.449804 | + | 0.893127i | \(0.648506\pi\) | |||||||
\(758\) | 377.601i | 0.498155i | ||||||||
\(759\) | 23.6432 | + | 16.6203i | 0.0311505 | + | 0.0218976i | ||||
\(760\) | −1071.78 | −1.41024 | ||||||||
\(761\) | 1057.16i | 1.38918i | 0.719408 | + | 0.694588i | \(0.244413\pi\) | ||||
−0.719408 | + | 0.694588i | \(0.755587\pi\) | |||||||
\(762\) | 434.132 | − | 617.576i | 0.569727 | − | 0.810468i | ||||
\(763\) | −315.224 | −0.413138 | ||||||||
\(764\) | 1.04833i | 0.00137215i | ||||||||
\(765\) | −135.763 | − | 377.332i | −0.177468 | − | 0.493244i | ||||
\(766\) | 1989.18 | 2.59685 | ||||||||
\(767\) | − | 73.8522i | − | 0.0962871i | ||||||
\(768\) | 271.742 | + | 191.024i | 0.353830 | + | 0.248729i | ||||
\(769\) | −50.4233 | −0.0655700 | −0.0327850 | − | 0.999462i | \(-0.510438\pi\) | ||||
−0.0327850 | + | 0.999462i | \(0.510438\pi\) | |||||||
\(770\) | − | 130.667i | − | 0.169698i | ||||||
\(771\) | 148.936 | − | 211.870i | 0.193173 | − | 0.274799i | ||||
\(772\) | 1673.98 | 2.16837 | ||||||||
\(773\) | − | 750.635i | − | 0.971068i | −0.874218 | − | 0.485534i | \(-0.838625\pi\) | ||
0.874218 | − | 0.485534i | \(-0.161375\pi\) | |||||||
\(774\) | 1727.68 | − | 621.612i | 2.23214 | − | 0.803116i | ||||
\(775\) | 892.643 | 1.15180 | ||||||||
\(776\) | − | 1.52258i | − | 0.00196209i | ||||||
\(777\) | −845.173 | − | 594.123i | −1.08774 | − | 0.764638i | ||||
\(778\) | −48.6480 | −0.0625295 | ||||||||
\(779\) | − | 1389.03i | − | 1.78310i | ||||||
\(780\) | 277.716 | − | 395.065i | 0.356046 | − | 0.506494i | ||||
\(781\) | 326.047 | 0.417474 | ||||||||
\(782\) | − | 365.345i | − | 0.467193i | ||||||
\(783\) | −164.157 | − | 44.9611i | −0.209651 | − | 0.0574216i | ||||
\(784\) | 564.444 | 0.719954 | ||||||||
\(785\) | 316.833i | 0.403608i | ||||||||
\(786\) | 614.898 | + | 432.249i | 0.782313 | + | 0.549936i | ||||
\(787\) | 41.9123 | 0.0532558 | 0.0266279 | − | 0.999645i | \(-0.491523\pi\) | ||||
0.0266279 | + | 0.999645i | \(0.491523\pi\) | |||||||
\(788\) | 2145.12i | 2.72223i | ||||||||
\(789\) | 342.003 | − | 486.518i | 0.433464 | − | 0.616626i | ||||
\(790\) | −784.201 | −0.992660 | ||||||||
\(791\) | 904.136i | 1.14303i | ||||||||
\(792\) | −197.605 | − | 549.214i | −0.249502 | − | 0.693452i | ||||
\(793\) | −688.360 | −0.868045 | ||||||||
\(794\) | − | 747.444i | − | 0.941365i | ||||||
\(795\) | −39.8549 | − | 28.0164i | −0.0501319 | − | 0.0352408i | ||||
\(796\) | 451.560 | 0.567287 | ||||||||
\(797\) | − | 1412.00i | − | 1.77164i | −0.464026 | − | 0.885822i | \(-0.653595\pi\) | ||
0.464026 | − | 0.885822i | \(-0.346405\pi\) | |||||||
\(798\) | −1406.70 | + | 2001.10i | −1.76278 | + | 2.50765i | ||||
\(799\) | 1287.24 | 1.61107 | ||||||||
\(800\) | 1988.20i | 2.48525i | ||||||||
\(801\) | 1161.61 | − | 417.943i | 1.45020 | − | 0.521776i | ||||
\(802\) | 143.006 | 0.178311 | ||||||||
\(803\) | − | 44.8552i | − | 0.0558595i | ||||||
\(804\) | −2192.75 | − | 1541.42i | −2.72730 | − | 1.91718i | ||||
\(805\) | 44.7219 | 0.0555552 | ||||||||
\(806\) | 1451.40i | 1.80074i | ||||||||
\(807\) | −458.890 | + | 652.796i | −0.568637 | + | 0.808917i | ||||
\(808\) | 3131.97 | 3.87620 | ||||||||
\(809\) | 1581.01i | 1.95427i | 0.212617 | + | 0.977136i | \(0.431801\pi\) | ||||
−0.212617 | + | 0.977136i | \(0.568199\pi\) | |||||||
\(810\) | 384.047 | − | 317.453i | 0.474132 | − | 0.391917i | ||||
\(811\) | −1101.66 | −1.35840 | −0.679198 | − | 0.733955i | \(-0.737672\pi\) | ||||
−0.679198 | + | 0.733955i | \(0.737672\pi\) | |||||||
\(812\) | 504.812i | 0.621689i | ||||||||
\(813\) | −134.988 | − | 94.8913i | −0.166037 | − | 0.116717i | ||||
\(814\) | 456.310 | 0.560578 | ||||||||
\(815\) | 44.7594i | 0.0549196i | ||||||||
\(816\) | −2299.58 | + | 3271.28i | −2.81812 | + | 4.00892i | ||||
\(817\) | 1495.64 | 1.83065 | ||||||||
\(818\) | 762.478i | 0.932124i | ||||||||
\(819\) | −228.044 | − | 633.814i | −0.278442 | − | 0.773888i | ||||
\(820\) | 839.207 | 1.02342 | ||||||||
\(821\) | − | 304.663i | − | 0.371088i | −0.982636 | − | 0.185544i | \(-0.940595\pi\) | ||
0.982636 | − | 0.185544i | \(-0.0594048\pi\) | |||||||
\(822\) | 455.534 | + | 320.223i | 0.554178 | + | 0.389566i | ||||
\(823\) | 1418.02 | 1.72299 | 0.861497 | − | 0.507763i | \(-0.169528\pi\) | ||||
0.861497 | + | 0.507763i | \(0.169528\pi\) | |||||||
\(824\) | − | 1320.76i | − | 1.60286i | ||||||
\(825\) | 105.230 | − | 149.695i | 0.127551 | − | 0.181448i | ||||
\(826\) | −226.006 | −0.273615 | ||||||||
\(827\) | − | 573.645i | − | 0.693645i | −0.937931 | − | 0.346823i | \(-0.887261\pi\) | ||
0.937931 | − | 0.346823i | \(-0.112739\pi\) | |||||||
\(828\) | 307.557 | − | 110.658i | 0.371446 | − | 0.133645i | ||||
\(829\) | −63.8873 | −0.0770655 | −0.0385327 | − | 0.999257i | \(-0.512268\pi\) | ||||
−0.0385327 | + | 0.999257i | \(0.512268\pi\) | |||||||
\(830\) | 771.748i | 0.929817i | ||||||||
\(831\) | 141.951 | + | 99.7863i | 0.170820 | + | 0.120080i | ||||
\(832\) | −1360.43 | −1.63513 | ||||||||
\(833\) | 317.440i | 0.381081i | ||||||||
\(834\) | −1485.46 | + | 2113.15i | −1.78113 | + | 2.53376i | ||||
\(835\) | −136.559 | −0.163544 | ||||||||
\(836\) | − | 777.925i | − | 0.930533i | ||||||
\(837\) | −284.842 | + | 1039.98i | −0.340314 | + | 1.24251i | ||||
\(838\) | −1368.91 | −1.63354 | ||||||||
\(839\) | 1441.99i | 1.71869i | 0.511392 | + | 0.859347i | \(0.329130\pi\) | ||||
−0.511392 | + | 0.859347i | \(0.670870\pi\) | |||||||
\(840\) | −738.914 | − | 519.428i | −0.879660 | − | 0.618367i | ||||
\(841\) | 801.262 | 0.952749 | ||||||||
\(842\) | 1737.12i | 2.06308i | ||||||||
\(843\) | −353.213 | + | 502.465i | −0.418996 | + | 0.596044i | ||||
\(844\) | 3063.03 | 3.62918 | ||||||||
\(845\) | − | 124.589i | − | 0.147443i | ||||||
\(846\) | 541.484 | + | 1504.97i | 0.640053 | + | 1.77893i | ||||
\(847\) | −883.927 | −1.04360 | ||||||||
\(848\) | 485.778i | 0.572851i | ||||||||
\(849\) | −602.170 | − | 423.302i | −0.709270 | − | 0.498589i | ||||
\(850\) | −2313.15 | −2.72135 | ||||||||
\(851\) | 156.176i | 0.183520i | ||||||||
\(852\) | 2120.65 | − | 3016.74i | 2.48903 | − | 3.54078i | ||||
\(853\) | 45.5840 | 0.0534397 | 0.0267198 | − | 0.999643i | \(-0.491494\pi\) | ||||
0.0267198 | + | 0.999643i | \(0.491494\pi\) | |||||||
\(854\) | 2106.55i | 2.46669i | ||||||||
\(855\) | 381.907 | − | 137.409i | 0.446674 | − | 0.160712i | ||||
\(856\) | 217.487 | 0.254074 | ||||||||
\(857\) | − | 1490.87i | − | 1.73964i | −0.493368 | − | 0.869821i | \(-0.664234\pi\) | ||
0.493368 | − | 0.869821i | \(-0.335766\pi\) | |||||||
\(858\) | 243.397 | + | 171.099i | 0.283680 | + | 0.199416i | ||||
\(859\) | −575.769 | −0.670278 | −0.335139 | − | 0.942169i | \(-0.608783\pi\) | ||||
−0.335139 | + | 0.942169i | \(0.608783\pi\) | |||||||
\(860\) | 903.615i | 1.05071i | ||||||||
\(861\) | 673.181 | − | 957.637i | 0.781860 | − | 1.11224i | ||||
\(862\) | 1099.20 | 1.27517 | ||||||||
\(863\) | − | 817.599i | − | 0.947392i | −0.880688 | − | 0.473696i | \(-0.842920\pi\) | ||
0.880688 | − | 0.473696i | \(-0.157080\pi\) | |||||||
\(864\) | −2316.38 | − | 634.435i | −2.68099 | − | 0.734300i | ||||
\(865\) | −386.044 | −0.446293 | ||||||||
\(866\) | − | 2599.70i | − | 3.00197i | ||||||
\(867\) | −1130.47 | − | 794.673i | −1.30388 | − | 0.916578i | ||||
\(868\) | 3198.14 | 3.68449 | ||||||||
\(869\) | − | 347.879i | − | 0.400321i | ||||||
\(870\) | 66.9011 | − | 95.1704i | 0.0768978 | − | 0.109391i | ||||
\(871\) | 835.011 | 0.958680 | ||||||||
\(872\) | − | 962.412i | − | 1.10368i | ||||||
\(873\) | 0.195204 | + | 0.542541i | 0.000223602 | + | 0.000621467i | ||||
\(874\) | 369.775 | 0.423083 | ||||||||
\(875\) | − | 599.856i | − | 0.685550i | ||||||
\(876\) | −415.021 | − | 291.744i | −0.473769 | − | 0.333041i | ||||
\(877\) | 1332.73 | 1.51965 | 0.759825 | − | 0.650127i | \(-0.225284\pi\) | ||||
0.759825 | + | 0.650127i | \(0.225284\pi\) | |||||||
\(878\) | 1267.37i | 1.44347i | ||||||||
\(879\) | 766.831 | − | 1090.86i | 0.872391 | − | 1.24102i | ||||
\(880\) | 216.197 | 0.245678 | ||||||||
\(881\) | − | 1008.40i | − | 1.14460i | −0.820043 | − | 0.572302i | \(-0.806050\pi\) | ||
0.820043 | − | 0.572302i | \(-0.193950\pi\) | |||||||
\(882\) | −371.134 | + | 133.533i | −0.420787 | + | 0.151398i | ||||
\(883\) | −408.779 | −0.462943 | −0.231472 | − | 0.972842i | \(-0.574354\pi\) | ||||
−0.231472 | + | 0.972842i | \(0.574354\pi\) | |||||||
\(884\) | − | 2708.11i | − | 3.06347i | ||||||
\(885\) | 30.6794 | + | 21.5664i | 0.0346660 | + | 0.0243688i | ||||
\(886\) | −1148.58 | −1.29636 | ||||||||
\(887\) | − | 736.680i | − | 0.830530i | −0.909701 | − | 0.415265i | \(-0.863689\pi\) | ||
0.909701 | − | 0.415265i | \(-0.136311\pi\) | |||||||
\(888\) | 1813.92 | − | 2580.40i | 2.04270 | − | 2.90586i | ||||
\(889\) | 518.209 | 0.582912 | ||||||||
\(890\) | 843.776i | 0.948063i | ||||||||
\(891\) | 140.825 | + | 170.367i | 0.158053 | + | 0.191208i | ||||
\(892\) | 3061.52 | 3.43219 | ||||||||
\(893\) | 1302.85i | 1.45896i | ||||||||
\(894\) | 216.714 | + | 152.341i | 0.242409 | + | 0.170404i | ||||
\(895\) | 369.183 | 0.412495 | ||||||||
\(896\) | 1393.58i | 1.55534i | ||||||||
\(897\) | −58.5598 | + | 83.3045i | −0.0652841 | + | 0.0928701i | ||||
\(898\) | 544.734 | 0.606608 | ||||||||
\(899\) | 251.752i | 0.280036i | ||||||||
\(900\) | −700.621 | − | 1947.27i | −0.778468 | − | 2.16363i | ||||
\(901\) | −273.199 | −0.303217 | ||||||||
\(902\) | 517.030i | 0.573204i | ||||||||
\(903\) | 1031.13 | + | 724.847i | 1.14190 | + | 0.802709i | ||||
\(904\) | −2760.42 | −3.05357 | ||||||||
\(905\) | − | 176.639i | − | 0.195181i | ||||||
\(906\) | −871.872 | + | 1240.28i | −0.962331 | + | 1.36897i | ||||
\(907\) | −631.452 | −0.696199 | −0.348099 | − | 0.937458i | \(-0.613173\pi\) | ||||
−0.348099 | + | 0.937458i | \(0.613173\pi\) | |||||||
\(908\) | 687.344i | 0.756987i | ||||||||
\(909\) | −1116.01 | + | 401.537i | −1.22774 | + | 0.441735i | ||||
\(910\) | 460.393 | 0.505927 | ||||||||
\(911\) | 15.0589i | 0.0165301i | 0.999966 | + | 0.00826503i | \(0.00263087\pi\) | ||||
−0.999966 | + | 0.00826503i | \(0.997369\pi\) | |||||||
\(912\) | −3310.94 | − | 2327.46i | −3.63042 | − | 2.55204i | ||||
\(913\) | −342.354 | −0.374977 | ||||||||
\(914\) | 1751.22i | 1.91599i | ||||||||
\(915\) | 201.016 | − | 285.956i | 0.219689 | − | 0.312520i | ||||
\(916\) | −952.901 | −1.04029 | ||||||||
\(917\) | 515.961i | 0.562662i | ||||||||
\(918\) | 738.126 | − | 2694.96i | 0.804059 | − | 2.93569i | ||||
\(919\) | 788.939 | 0.858476 | 0.429238 | − | 0.903192i | \(-0.358782\pi\) | ||||
0.429238 | + | 0.903192i | \(0.358782\pi\) | |||||||
\(920\) | 136.541i | 0.148414i | ||||||||
\(921\) | −942.252 | − | 662.366i | −1.02307 | − | 0.719181i | ||||
\(922\) | 1474.58 | 1.59933 | ||||||||
\(923\) | 1148.79i | 1.24463i | ||||||||
\(924\) | 377.014 | − | 536.322i | 0.408023 | − | 0.580435i | ||||
\(925\) | 988.811 | 1.06899 | ||||||||
\(926\) | 1267.79i | 1.36910i | ||||||||
\(927\) | 169.329 | + | 470.624i | 0.182663 | + | 0.507685i | ||||
\(928\) | −560.733 | −0.604238 | ||||||||
\(929\) | − | 922.437i | − | 0.992935i | −0.868055 | − | 0.496468i | \(-0.834630\pi\) | ||
0.868055 | − | 0.496468i | \(-0.165370\pi\) | |||||||
\(930\) | −602.934 | − | 423.839i | −0.648316 | − | 0.455741i | ||||
\(931\) | −321.289 | −0.345101 | ||||||||
\(932\) | 324.076i | 0.347721i | ||||||||
\(933\) | 171.938 | − | 244.591i | 0.184285 | − | 0.262155i | ||||
\(934\) | −1640.72 | −1.75666 | ||||||||
\(935\) | 121.588i | 0.130041i | ||||||||
\(936\) | 1935.10 | − | 696.242i | 2.06741 | − | 0.743849i | ||||
\(937\) | 148.574 | 0.158563 | 0.0792817 | − | 0.996852i | \(-0.474737\pi\) | ||||
0.0792817 | + | 0.996852i | \(0.474737\pi\) | |||||||
\(938\) | − | 2555.34i | − | 2.72424i | ||||||
\(939\) | −565.190 | − | 397.306i | −0.601906 | − | 0.423116i | ||||
\(940\) | −787.137 | −0.837379 | ||||||||
\(941\) | − | 304.574i | − | 0.323671i | −0.986818 | − | 0.161835i | \(-0.948259\pi\) | ||
0.986818 | − | 0.161835i | \(-0.0517414\pi\) | |||||||
\(942\) | −1269.60 | + | 1806.07i | −1.34777 | + | 1.91727i | ||||
\(943\) | −176.957 | −0.187654 | ||||||||
\(944\) | − | 373.941i | − | 0.396124i | ||||||
\(945\) | 329.890 | + | 90.3540i | 0.349090 | + | 0.0956127i | ||||
\(946\) | −556.711 | −0.588489 | ||||||||
\(947\) | 399.833i | 0.422210i | 0.977463 | + | 0.211105i | \(0.0677062\pi\) | ||||
−0.977463 | + | 0.211105i | \(0.932294\pi\) | |||||||
\(948\) | −3218.74 | − | 2262.65i | −3.39530 | − | 2.38676i | ||||
\(949\) | 158.043 | 0.166536 | ||||||||
\(950\) | − | 2341.19i | − | 2.46441i | ||||||
\(951\) | −786.676 | + | 1119.09i | −0.827209 | + | 1.17675i | ||||
\(952\) | −5065.14 | −5.32052 | ||||||||
\(953\) | 986.817i | 1.03548i | 0.855537 | + | 0.517742i | \(0.173227\pi\) | ||||
−0.855537 | + | 0.517742i | \(0.826773\pi\) | |||||||
\(954\) | −114.922 | − | 319.409i | −0.120464 | − | 0.334810i | ||||
\(955\) | 0.165838 | 0.000173652 | ||||||||
\(956\) | − | 2146.39i | − | 2.24518i | ||||||
\(957\) | 42.2185 | + | 29.6779i | 0.0441154 | + | 0.0310114i | ||||
\(958\) | 2371.67 | 2.47565 | ||||||||
\(959\) | 382.239i | 0.398581i | ||||||||
\(960\) | 397.275 | − | 565.145i | 0.413828 | − | 0.588693i | ||||
\(961\) | 633.927 | 0.659654 | ||||||||
\(962\) | 1607.76i | 1.67127i | ||||||||
\(963\) | −77.4970 | + | 27.8832i | −0.0804746 | + | 0.0289545i | ||||
\(964\) | −3786.77 | −3.92818 | ||||||||
\(965\) | − | 264.812i | − | 0.274417i | ||||||
\(966\) | 254.932 | + | 179.208i | 0.263905 | + | 0.185515i | ||||
\(967\) | −410.782 | −0.424801 | −0.212400 | − | 0.977183i | \(-0.568128\pi\) | ||||
−0.212400 | + | 0.977183i | \(0.568128\pi\) | |||||||
\(968\) | − | 2698.72i | − | 2.78794i | ||||||
\(969\) | 1308.95 | − | 1862.06i | 1.35083 | − | 1.92163i | ||||
\(970\) | −0.394094 | −0.000406282 | ||||||||
\(971\) | 99.6561i | 0.102632i | 0.998682 | + | 0.0513162i | \(0.0163416\pi\) | ||||
−0.998682 | + | 0.0513162i | \(0.983658\pi\) | |||||||
\(972\) | 2492.26 | − | 194.893i | 2.56405 | − | 0.200507i | ||||
\(973\) | −1773.15 | −1.82235 | ||||||||
\(974\) | 754.500i | 0.774640i | ||||||||
\(975\) | 527.434 | + | 370.766i | 0.540958 | + | 0.380273i | ||||
\(976\) | −3485.42 | −3.57112 | ||||||||
\(977\) | − | 477.901i | − | 0.489152i | −0.969630 | − | 0.244576i | \(-0.921351\pi\) | ||
0.969630 | − | 0.244576i | \(-0.0786487\pi\) | |||||||
\(978\) | −179.358 | + | 255.146i | −0.183393 | + | 0.260886i | ||||
\(979\) | −374.307 | −0.382336 | ||||||||
\(980\) | − | 194.112i | − | 0.198073i | ||||||
\(981\) | 123.387 | + | 342.935i | 0.125777 | + | 0.349577i | ||||
\(982\) | −2574.81 | −2.62200 | ||||||||
\(983\) | 1880.18i | 1.91269i | 0.292237 | + | 0.956346i | \(0.405600\pi\) | ||||
−0.292237 | + | 0.956346i | \(0.594400\pi\) | |||||||
\(984\) | 2923.76 | + | 2055.29i | 2.97131 | + | 2.08871i | ||||
\(985\) | 339.342 | 0.344510 | ||||||||
\(986\) | − | 652.378i | − | 0.661641i | ||||||
\(987\) | −631.412 | + | 898.218i | −0.639729 | + | 0.910049i | ||||
\(988\) | 2740.94 | 2.77423 | ||||||||
\(989\) | − | 190.539i | − | 0.192658i | ||||||
\(990\) | −142.154 | + | 51.1466i | −0.143590 | + | 0.0516632i | ||||
\(991\) | −292.800 | −0.295459 | −0.147730 | − | 0.989028i | \(-0.547197\pi\) | ||||
−0.147730 | + | 0.989028i | \(0.547197\pi\) | |||||||
\(992\) | 3552.41i | 3.58106i | ||||||||
\(993\) | −1420.88 | − | 998.826i | −1.43090 | − | 1.00587i | ||||
\(994\) | 3515.59 | 3.53681 | ||||||||
\(995\) | − | 71.4336i | − | 0.0717926i | ||||||
\(996\) | −2226.72 | + | 3167.63i | −2.23566 | + | 3.18035i | ||||
\(997\) | −941.929 | −0.944763 | −0.472381 | − | 0.881394i | \(-0.656606\pi\) | ||||
−0.472381 | + | 0.881394i | \(0.656606\pi\) | |||||||
\(998\) | 3192.10i | 3.19850i | ||||||||
\(999\) | −315.530 | + | 1152.03i | −0.315846 | + | 1.15318i |
(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 | 177.3.b.a.119.38 | yes | 38 | |
3.2 | odd | 2 | inner | 177.3.b.a.119.1 | ✓ | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.b.a.119.1 | ✓ | 38 | 3.2 | odd | 2 | inner | |
177.3.b.a.119.38 | yes | 38 | 1.1 | even | 1 | trivial |