Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,4,Mod(179,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.179");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.m (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: | \(21.2406876021\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 179.36 | ||
Character | \(\chi\) | \(=\) | 360.179 |
Dual form | 360.4.m.c.179.34 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.778894 | + | 2.71907i | 0.275381 | + | 0.961335i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −6.78665 | + | 4.23573i | −0.848331 | + | 0.529467i | ||||
\(5\) | 11.1705 | − | 0.469176i | 0.999119 | − | 0.0419644i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 17.5697 | 0.948673 | 0.474336 | − | 0.880344i | \(-0.342688\pi\) | ||||
0.474336 | + | 0.880344i | \(0.342688\pi\) | |||||||
\(8\) | −16.8033 | − | 15.1542i | −0.742609 | − | 0.669725i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 9.97636 | + | 30.0079i | 0.315480 | + | 0.948932i | ||||
\(11\) | − | 1.21111i | − | 0.0331967i | −0.999862 | − | 0.0165983i | \(-0.994716\pi\) | ||
0.999862 | − | 0.0165983i | \(-0.00528366\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.29803 | 0.0490275 | 0.0245138 | − | 0.999699i | \(-0.492196\pi\) | ||||
0.0245138 | + | 0.999699i | \(0.492196\pi\) | |||||||
\(14\) | 13.6849 | + | 47.7731i | 0.261246 | + | 0.911992i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 28.1171 | − | 57.4928i | 0.439330 | − | 0.898326i | ||||
\(17\) | 38.9371 | 0.555508 | 0.277754 | − | 0.960652i | \(-0.410410\pi\) | ||||
0.277754 | + | 0.960652i | \(0.410410\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 101.821 | 1.22943 | 0.614716 | − | 0.788748i | \(-0.289270\pi\) | ||||
0.614716 | + | 0.788748i | \(0.289270\pi\) | |||||||
\(20\) | −73.8229 | + | 50.4993i | −0.825365 | + | 0.564600i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.29309 | − | 0.943328i | 0.0319132 | − | 0.00914173i | ||||
\(23\) | 79.2103i | 0.718108i | 0.933317 | + | 0.359054i | \(0.116901\pi\) | ||||
−0.933317 | + | 0.359054i | \(0.883099\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 124.560 | − | 10.4819i | 0.996478 | − | 0.0838549i | ||||
\(26\) | 1.78992 | + | 6.24849i | 0.0135012 | + | 0.0471319i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −119.239 | + | 74.4204i | −0.804788 | + | 0.502290i | ||||
\(29\) | 188.490 | 1.20696 | 0.603479 | − | 0.797379i | \(-0.293781\pi\) | ||||
0.603479 | + | 0.797379i | \(0.293781\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 195.204i | − | 1.13096i | −0.824763 | − | 0.565478i | \(-0.808692\pi\) | ||
0.824763 | − | 0.565478i | \(-0.191308\pi\) | |||||||
\(32\) | 178.227 | + | 31.6716i | 0.984575 | + | 0.174962i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 30.3279 | + | 105.873i | 0.152976 | + | 0.534029i | ||||
\(35\) | 196.262 | − | 8.24327i | 0.947837 | − | 0.0398105i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −377.761 | −1.67847 | −0.839237 | − | 0.543766i | \(-0.816998\pi\) | ||||
−0.839237 | + | 0.543766i | \(0.816998\pi\) | |||||||
\(38\) | 79.3074 | + | 276.857i | 0.338562 | + | 1.18190i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −194.811 | − | 161.396i | −0.770059 | − | 0.637972i | ||||
\(41\) | 205.009i | 0.780903i | 0.920623 | + | 0.390452i | \(0.127681\pi\) | ||||
−0.920623 | + | 0.390452i | \(0.872319\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 396.636i | 1.40666i | 0.710863 | + | 0.703331i | \(0.248305\pi\) | ||||
−0.710863 | + | 0.703331i | \(0.751695\pi\) | |||||||
\(44\) | 5.12994 | + | 8.21938i | 0.0175765 | + | 0.0281618i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −215.378 | + | 61.6965i | −0.690343 | + | 0.197753i | ||||
\(47\) | 429.604i | 1.33328i | 0.745380 | + | 0.666639i | \(0.232268\pi\) | ||||
−0.745380 | + | 0.666639i | \(0.767732\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −34.3070 | −0.100020 | ||||||||
\(50\) | 125.520 | + | 330.522i | 0.355024 | + | 0.934857i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −15.5959 | + | 9.73382i | −0.0415916 | + | 0.0259584i | ||||
\(53\) | 65.4197i | 0.169549i | 0.996400 | + | 0.0847745i | \(0.0270170\pi\) | ||||
−0.996400 | + | 0.0847745i | \(0.972983\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.568225 | − | 13.5287i | −0.00139308 | − | 0.0331675i | ||||
\(56\) | −295.229 | − | 266.253i | −0.704493 | − | 0.635350i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 146.814 | + | 512.518i | 0.332373 | + | 1.16029i | ||||
\(59\) | 354.000i | 0.781134i | 0.920575 | + | 0.390567i | \(0.127721\pi\) | ||||
−0.920575 | + | 0.390567i | \(0.872279\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 595.183i | − | 1.24927i | −0.780918 | − | 0.624634i | \(-0.785248\pi\) | ||
0.780918 | − | 0.624634i | \(-0.214752\pi\) | |||||||
\(62\) | 530.772 | − | 152.043i | 1.08723 | − | 0.311444i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 52.7031 | + | 509.280i | 0.102936 | + | 0.994688i | ||||
\(65\) | 25.6701 | − | 1.07818i | 0.0489843 | − | 0.00205741i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 31.8435i | 0.0580642i | 0.999578 | + | 0.0290321i | \(0.00924251\pi\) | ||||
−0.999578 | + | 0.0290321i | \(0.990757\pi\) | |||||||
\(68\) | −264.252 | + | 164.927i | −0.471255 | + | 0.294123i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 175.281 | + | 527.228i | 0.299287 | + | 0.900226i | ||||
\(71\) | 86.9186 | 0.145286 | 0.0726432 | − | 0.997358i | \(-0.476857\pi\) | ||||
0.0726432 | + | 0.997358i | \(0.476857\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 320.319i | 0.513568i | 0.966469 | + | 0.256784i | \(0.0826629\pi\) | ||||
−0.966469 | + | 0.256784i | \(0.917337\pi\) | |||||||
\(74\) | −294.236 | − | 1027.16i | −0.462219 | − | 1.61358i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −691.020 | + | 431.284i | −1.04297 | + | 0.650944i | ||||
\(77\) | − | 21.2788i | − | 0.0314928i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 518.092i | − | 0.737847i | −0.929460 | − | 0.368924i | \(-0.879726\pi\) | ||
0.929460 | − | 0.368924i | \(-0.120274\pi\) | |||||||
\(80\) | 287.108 | − | 655.415i | 0.401246 | − | 0.915970i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −557.433 | + | 159.680i | −0.750710 | + | 0.215046i | ||||
\(83\) | 520.655 | 0.688545 | 0.344273 | − | 0.938870i | \(-0.388126\pi\) | ||||
0.344273 | + | 0.938870i | \(0.388126\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 434.947 | − | 18.2684i | 0.555019 | − | 0.0233116i | ||||
\(86\) | −1078.48 | + | 308.938i | −1.35227 | + | 0.387368i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −18.3534 | + | 20.3507i | −0.0222327 | + | 0.0246522i | ||||
\(89\) | − | 40.5337i | − | 0.0482760i | −0.999709 | − | 0.0241380i | \(-0.992316\pi\) | ||
0.999709 | − | 0.0241380i | \(-0.00768412\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 40.3755 | 0.0465111 | ||||||||
\(92\) | −335.514 | − | 537.572i | −0.380214 | − | 0.609193i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1168.12 | + | 334.616i | −1.28173 | + | 0.367159i | ||||
\(95\) | 1137.39 | − | 47.7718i | 1.22835 | − | 0.0515924i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 1551.48i | − | 1.62401i | −0.583648 | − | 0.812007i | \(-0.698375\pi\) | ||
0.583648 | − | 0.812007i | \(-0.301625\pi\) | |||||||
\(98\) | −26.7215 | − | 93.2830i | −0.0275437 | − | 0.0961532i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −800.945 | + | 598.738i | −0.800945 | + | 0.598738i | ||||
\(101\) | −324.477 | −0.319669 | −0.159835 | − | 0.987144i | \(-0.551096\pi\) | ||||
−0.159835 | + | 0.987144i | \(0.551096\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −144.808 | −0.138528 | −0.0692638 | − | 0.997598i | \(-0.522065\pi\) | ||||
−0.0692638 | + | 0.997598i | \(0.522065\pi\) | |||||||
\(104\) | −38.6145 | − | 34.8247i | −0.0364083 | − | 0.0328350i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −177.881 | + | 50.9551i | −0.162993 | + | 0.0466905i | ||||
\(107\) | 1541.44 | 1.39267 | 0.696337 | − | 0.717715i | \(-0.254812\pi\) | ||||
0.696337 | + | 0.717715i | \(0.254812\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 1287.14i | − | 1.13106i | −0.824726 | − | 0.565532i | \(-0.808671\pi\) | ||
0.824726 | − | 0.565532i | \(-0.191329\pi\) | |||||||
\(110\) | 36.3429 | − | 12.0825i | 0.0315014 | − | 0.0104729i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 494.009 | − | 1010.13i | 0.416781 | − | 0.852217i | ||||
\(113\) | −1770.49 | −1.47392 | −0.736962 | − | 0.675934i | \(-0.763740\pi\) | ||||
−0.736962 | + | 0.675934i | \(0.763740\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 37.1636 | + | 884.818i | 0.0301350 | + | 0.717476i | ||||
\(116\) | −1279.22 | + | 798.395i | −1.02390 | + | 0.639044i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −962.550 | + | 275.729i | −0.750931 | + | 0.215109i | ||||
\(119\) | 684.112 | 0.526995 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1329.53 | 0.998898 | ||||||||
\(122\) | 1618.34 | − | 463.584i | 1.20096 | − | 0.344024i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 826.832 | + | 1324.78i | 0.598804 | + | 0.959426i | ||||
\(125\) | 1386.48 | − | 175.528i | 0.992081 | − | 0.125598i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1812.73 | −1.26656 | −0.633281 | − | 0.773922i | \(-0.718292\pi\) | ||||
−0.633281 | + | 0.773922i | \(0.718292\pi\) | |||||||
\(128\) | −1343.72 | + | 539.979i | −0.927882 | + | 0.372874i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 22.9259 | + | 68.9589i | 0.0154672 | + | 0.0465238i | ||||
\(131\) | 1129.86i | 0.753563i | 0.926302 | + | 0.376781i | \(0.122969\pi\) | ||||
−0.926302 | + | 0.376781i | \(0.877031\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1788.95 | 1.16633 | ||||||||
\(134\) | −86.5846 | + | 24.8027i | −0.0558192 | + | 0.0159898i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −654.273 | − | 590.059i | −0.412525 | − | 0.372038i | ||||
\(137\) | −2163.98 | −1.34950 | −0.674749 | − | 0.738047i | \(-0.735748\pi\) | ||||
−0.674749 | + | 0.738047i | \(0.735748\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2331.53 | 1.42272 | 0.711360 | − | 0.702828i | \(-0.248080\pi\) | ||||
0.711360 | + | 0.702828i | \(0.248080\pi\) | |||||||
\(140\) | −1297.04 | + | 887.256i | −0.783001 | + | 0.535620i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 67.7004 | + | 236.337i | 0.0400091 | + | 0.139669i | ||||
\(143\) | − | 2.78316i | − | 0.00162755i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2105.53 | − | 88.4352i | 1.20590 | − | 0.0506493i | ||||
\(146\) | −870.968 | + | 249.495i | −0.493711 | + | 0.141427i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2563.73 | − | 1600.09i | 1.42390 | − | 0.888696i | ||||
\(149\) | 1321.10 | 0.726366 | 0.363183 | − | 0.931718i | \(-0.381690\pi\) | ||||
0.363183 | + | 0.931718i | \(0.381690\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 2875.03i | − | 1.54945i | −0.632299 | − | 0.774725i | \(-0.717888\pi\) | ||
0.632299 | − | 0.774725i | \(-0.282112\pi\) | |||||||
\(152\) | −1710.92 | − | 1543.00i | −0.912988 | − | 0.823383i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 57.8585 | − | 16.5739i | 0.0302751 | − | 0.00867251i | ||||
\(155\) | −91.5850 | − | 2180.52i | −0.0474599 | − | 1.12996i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1062.67 | 0.540192 | 0.270096 | − | 0.962833i | \(-0.412945\pi\) | ||||
0.270096 | + | 0.962833i | \(0.412945\pi\) | |||||||
\(158\) | 1408.73 | − | 403.539i | 0.709318 | − | 0.203189i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2005.74 | + | 270.167i | 0.991050 | + | 0.133491i | ||||
\(161\) | 1391.70i | 0.681250i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1304.06i | 0.626636i | 0.949648 | + | 0.313318i | \(0.101441\pi\) | ||||
−0.949648 | + | 0.313318i | \(0.898559\pi\) | |||||||
\(164\) | −868.363 | − | 1391.32i | −0.413462 | − | 0.662464i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 405.535 | + | 1415.69i | 0.189612 | + | 0.661923i | ||||
\(167\) | − | 2529.54i | − | 1.17211i | −0.810272 | − | 0.586054i | \(-0.800681\pi\) | ||
0.810272 | − | 0.586054i | \(-0.199319\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2191.72 | −0.997596 | ||||||||
\(170\) | 388.450 | + | 1168.42i | 0.175252 | + | 0.527139i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1680.04 | − | 2691.83i | −0.744780 | − | 1.19331i | ||||
\(173\) | − | 887.010i | − | 0.389816i | −0.980822 | − | 0.194908i | \(-0.937559\pi\) | ||
0.980822 | − | 0.194908i | \(-0.0624408\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2188.47 | − | 184.163i | 0.945331 | − | 0.0795508i | ||||
\(176\) | −69.6302 | − | 34.0530i | −0.0298214 | − | 0.0145843i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 110.214 | − | 31.5715i | 0.0464095 | − | 0.0132943i | ||||
\(179\) | 3554.35i | 1.48416i | 0.670311 | + | 0.742080i | \(0.266161\pi\) | ||||
−0.670311 | + | 0.742080i | \(0.733839\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 1122.19i | − | 0.460840i | −0.973091 | − | 0.230420i | \(-0.925990\pi\) | ||
0.973091 | − | 0.230420i | \(-0.0740099\pi\) | |||||||
\(182\) | 31.4483 | + | 109.784i | 0.0128083 | + | 0.0447127i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1200.37 | − | 1331.00i | 0.480935 | − | 0.533274i | ||||
\(185\) | −4219.78 | + | 177.236i | −1.67700 | + | 0.0704361i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 47.1572i | − | 0.0184410i | ||||||
\(188\) | −1819.69 | − | 2915.57i | −0.705927 | − | 1.13106i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1015.80 | + | 3055.42i | 0.387862 | + | 1.16665i | ||||
\(191\) | −1665.96 | −0.631122 | −0.315561 | − | 0.948905i | \(-0.602193\pi\) | ||||
−0.315561 | + | 0.948905i | \(0.602193\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | − | 4819.74i | − | 1.79758i | −0.438381 | − | 0.898789i | \(-0.644448\pi\) | ||
0.438381 | − | 0.898789i | \(-0.355552\pi\) | |||||||
\(194\) | 4218.59 | − | 1208.44i | 1.56122 | − | 0.447222i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 232.830 | − | 145.315i | 0.0848504 | − | 0.0529575i | ||||
\(197\) | − | 3923.54i | − | 1.41899i | −0.704712 | − | 0.709493i | \(-0.748924\pi\) | ||
0.704712 | − | 0.709493i | \(-0.251076\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 841.566i | 0.299784i | 0.988702 | + | 0.149892i | \(0.0478926\pi\) | ||||
−0.988702 | + | 0.149892i | \(0.952107\pi\) | |||||||
\(200\) | −2251.86 | − | 1711.47i | −0.796153 | − | 0.605095i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −252.733 | − | 882.273i | −0.0880308 | − | 0.307310i | ||||
\(203\) | 3311.71 | 1.14501 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 96.1854 | + | 2290.05i | 0.0327701 | + | 0.780215i | ||||
\(206\) | −112.790 | − | 393.742i | −0.0381478 | − | 0.133171i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 64.6139 | − | 132.120i | 0.0215393 | − | 0.0440427i | ||||
\(209\) | − | 123.316i | − | 0.0408131i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1483.70 | −0.484086 | −0.242043 | − | 0.970266i | \(-0.577817\pi\) | ||||
−0.242043 | + | 0.970266i | \(0.577817\pi\) | |||||||
\(212\) | −277.100 | − | 443.981i | −0.0897705 | − | 0.143834i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1200.62 | + | 4191.27i | 0.383516 | + | 1.33883i | ||||
\(215\) | 186.092 | + | 4430.62i | 0.0590297 | + | 1.40542i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 3429.67i | − | 1.07291i | ||||||
\(218\) | 3499.83 | − | 1002.55i | 1.08733 | − | 0.311473i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 61.1603 | + | 89.4077i | 0.0187428 | + | 0.0273994i | ||||
\(221\) | 89.4785 | 0.0272352 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −650.939 | −0.195471 | −0.0977356 | − | 0.995212i | \(-0.531160\pi\) | ||||
−0.0977356 | + | 0.995212i | \(0.531160\pi\) | |||||||
\(224\) | 3131.39 | + | 556.458i | 0.934039 | + | 0.165982i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1379.02 | − | 4814.07i | −0.405891 | − | 1.41694i | ||||
\(227\) | 5495.17 | 1.60673 | 0.803363 | − | 0.595489i | \(-0.203042\pi\) | ||||
0.803363 | + | 0.595489i | \(0.203042\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 450.867i | 0.130105i | 0.997882 | + | 0.0650527i | \(0.0207216\pi\) | ||||
−0.997882 | + | 0.0650527i | \(0.979278\pi\) | |||||||
\(230\) | −2376.93 | + | 790.230i | −0.681436 | + | 0.226549i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3167.26 | − | 2856.41i | −0.896298 | − | 0.808331i | ||||
\(233\) | −4370.89 | −1.22895 | −0.614477 | − | 0.788935i | \(-0.710633\pi\) | ||||
−0.614477 | + | 0.788935i | \(0.710633\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 201.560 | + | 4798.88i | 0.0559503 | + | 1.33210i | ||||
\(236\) | −1499.45 | − | 2402.47i | −0.413584 | − | 0.662660i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 532.851 | + | 1860.15i | 0.145124 | + | 0.506619i | ||||
\(239\) | −2751.80 | −0.744767 | −0.372384 | − | 0.928079i | \(-0.621459\pi\) | ||||
−0.372384 | + | 0.928079i | \(0.621459\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1897.47 | −0.507166 | −0.253583 | − | 0.967314i | \(-0.581609\pi\) | ||||
−0.253583 | + | 0.967314i | \(0.581609\pi\) | |||||||
\(242\) | 1035.57 | + | 3615.09i | 0.275077 | + | 0.960276i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2521.03 | + | 4039.29i | 0.661445 | + | 1.05979i | ||||
\(245\) | −383.226 | + | 16.0960i | −0.0999323 | + | 0.00419730i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 233.986 | 0.0602761 | ||||||||
\(248\) | −2958.15 | + | 3280.07i | −0.757431 | + | 0.839858i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1557.19 | + | 3633.20i | 0.393942 | + | 0.919136i | ||||
\(251\) | − | 5338.02i | − | 1.34236i | −0.741294 | − | 0.671181i | \(-0.765787\pi\) | ||
0.741294 | − | 0.671181i | \(-0.234213\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 95.9325 | 0.0238388 | ||||||||
\(254\) | −1411.92 | − | 4928.92i | −0.348787 | − | 1.21759i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2514.85 | − | 3233.07i | −0.613978 | − | 0.789324i | ||||
\(257\) | 1852.77 | 0.449699 | 0.224850 | − | 0.974393i | \(-0.427811\pi\) | ||||
0.224850 | + | 0.974393i | \(0.427811\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6637.13 | −1.59232 | ||||||||
\(260\) | −169.647 | + | 116.049i | −0.0404656 | + | 0.0276809i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3072.18 | + | 880.045i | −0.724426 | + | 0.207517i | ||||
\(263\) | 3052.14i | 0.715602i | 0.933798 | + | 0.357801i | \(0.116473\pi\) | ||||
−0.933798 | + | 0.357801i | \(0.883527\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 30.6934 | + | 730.771i | 0.00711502 | + | 0.169400i | ||||
\(266\) | 1393.40 | + | 4864.28i | 0.321185 | + | 1.12123i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −134.881 | − | 216.111i | −0.0307431 | − | 0.0492577i | ||||
\(269\) | −7379.13 | −1.67254 | −0.836270 | − | 0.548318i | \(-0.815268\pi\) | ||||
−0.836270 | + | 0.548318i | \(0.815268\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7809.43i | 1.75051i | 0.483660 | + | 0.875256i | \(0.339307\pi\) | ||||
−0.483660 | + | 0.875256i | \(0.660693\pi\) | |||||||
\(272\) | 1094.80 | − | 2238.60i | 0.244052 | − | 0.499027i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1685.51 | − | 5884.01i | −0.371626 | − | 1.29732i | ||||
\(275\) | −12.6947 | − | 150.856i | −0.00278370 | − | 0.0330798i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7318.70 | −1.58750 | −0.793751 | − | 0.608243i | \(-0.791875\pi\) | ||||
−0.793751 | + | 0.608243i | \(0.791875\pi\) | |||||||
\(278\) | 1816.02 | + | 6339.60i | 0.391790 | + | 1.36771i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3422.77 | − | 2835.67i | −0.730534 | − | 0.605227i | ||||
\(281\) | − | 6414.07i | − | 1.36168i | −0.732433 | − | 0.680839i | \(-0.761615\pi\) | ||
0.732433 | − | 0.680839i | \(-0.238385\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3993.09i | 0.838744i | 0.907814 | + | 0.419372i | \(0.137750\pi\) | ||||
−0.907814 | + | 0.419372i | \(0.862250\pi\) | |||||||
\(284\) | −589.886 | + | 368.164i | −0.123251 | + | 0.0769243i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.56761 | − | 2.16779i | 0.00156462 | − | 0.000448197i | ||||
\(287\) | 3601.94i | 0.740821i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3396.90 | −0.691411 | ||||||||
\(290\) | 1880.45 | + | 5656.20i | 0.380771 | + | 1.14532i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1356.78 | − | 2173.89i | −0.271917 | − | 0.435676i | ||||
\(293\) | 4615.85i | 0.920345i | 0.887830 | + | 0.460172i | \(0.152212\pi\) | ||||
−0.887830 | + | 0.460172i | \(0.847788\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 166.088 | + | 3954.36i | 0.0327798 | + | 0.780446i | ||||
\(296\) | 6347.64 | + | 5724.65i | 1.24645 | + | 1.12412i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1029.00 | + | 3592.15i | 0.200027 | + | 0.698281i | ||||
\(299\) | 182.027i | 0.0352071i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6968.76i | 1.33446i | ||||||||
\(302\) | 7817.41 | − | 2239.35i | 1.48954 | − | 0.426689i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2862.90 | − | 5853.95i | 0.540127 | − | 1.10443i | ||||
\(305\) | −279.246 | − | 6648.48i | −0.0524248 | − | 1.24817i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2911.30i | 0.541226i | 0.962688 | + | 0.270613i | \(0.0872264\pi\) | ||||
−0.962688 | + | 0.270613i | \(0.912774\pi\) | |||||||
\(308\) | 90.1313 | + | 144.412i | 0.0166744 | + | 0.0267163i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5857.65 | − | 1947.42i | 1.07320 | − | 0.356794i | ||||
\(311\) | 4970.69 | 0.906308 | 0.453154 | − | 0.891432i | \(-0.350299\pi\) | ||||
0.453154 | + | 0.891432i | \(0.350299\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6615.49i | 1.19466i | 0.801995 | + | 0.597331i | \(0.203772\pi\) | ||||
−0.801995 | + | 0.597331i | \(0.796228\pi\) | |||||||
\(314\) | 827.706 | + | 2889.46i | 0.148758 | + | 0.519305i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2194.50 | + | 3516.11i | 0.390665 | + | 0.625938i | ||||
\(317\) | − | 5469.03i | − | 0.968994i | −0.874793 | − | 0.484497i | \(-0.839003\pi\) | ||
0.874793 | − | 0.484497i | \(-0.160997\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 228.283i | − | 0.0400670i | ||||||
\(320\) | 827.661 | + | 5664.18i | 0.144587 | + | 0.989492i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3784.12 | + | 1083.99i | −0.654909 | + | 0.187603i | ||||
\(323\) | 3964.60 | 0.682960 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 286.242 | − | 24.0876i | 0.0488548 | − | 0.00411120i | ||||
\(326\) | −3545.82 | + | 1015.72i | −0.602408 | + | 0.172564i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3106.74 | − | 3444.83i | 0.522991 | − | 0.579906i | ||||
\(329\) | 7547.99i | 1.26485i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4228.59 | 0.702189 | 0.351094 | − | 0.936340i | \(-0.385810\pi\) | ||||
0.351094 | + | 0.936340i | \(0.385810\pi\) | |||||||
\(332\) | −3533.50 | + | 2205.35i | −0.584114 | + | 0.364562i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 6878.00 | − | 1970.25i | 1.12679 | − | 0.322776i | ||||
\(335\) | 14.9402 | + | 355.708i | 0.00243663 | + | 0.0580131i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 9248.58i | − | 1.49496i | −0.664283 | − | 0.747481i | \(-0.731263\pi\) | ||
0.664283 | − | 0.747481i | \(-0.268737\pi\) | |||||||
\(338\) | −1707.12 | − | 5959.43i | −0.274719 | − | 0.959024i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2874.45 | + | 1966.30i | −0.458497 | + | 0.313640i | ||||
\(341\) | −236.414 | −0.0375440 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6629.16 | −1.04356 | ||||||||
\(344\) | 6010.69 | − | 6664.80i | 0.942077 | − | 1.04460i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2411.84 | − | 690.888i | 0.374744 | − | 0.107348i | ||||
\(347\) | 8335.00 | 1.28947 | 0.644735 | − | 0.764406i | \(-0.276968\pi\) | ||||
0.644735 | + | 0.764406i | \(0.276968\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 416.687i | − | 0.0639104i | −0.999489 | − | 0.0319552i | \(-0.989827\pi\) | ||
0.999489 | − | 0.0319552i | \(-0.0101734\pi\) | |||||||
\(350\) | 2205.34 | + | 5807.16i | 0.336801 | + | 0.886874i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 38.3578 | − | 215.853i | 0.00580817 | − | 0.0326846i | ||||
\(353\) | −2913.16 | −0.439241 | −0.219620 | − | 0.975585i | \(-0.570482\pi\) | ||||
−0.219620 | + | 0.975585i | \(0.570482\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 970.923 | − | 40.7801i | 0.145158 | − | 0.00609686i | ||||
\(356\) | 171.690 | + | 275.088i | 0.0255605 | + | 0.0409541i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9664.51 | + | 2768.46i | −1.42678 | + | 0.408709i | ||||
\(359\) | −10877.9 | −1.59920 | −0.799600 | − | 0.600532i | \(-0.794955\pi\) | ||||
−0.799600 | + | 0.600532i | \(0.794955\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3508.42 | 0.511505 | ||||||||
\(362\) | 3051.32 | − | 874.070i | 0.443021 | − | 0.126906i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −274.015 | + | 171.020i | −0.0394568 | + | 0.0246261i | ||||
\(365\) | 150.286 | + | 3578.12i | 0.0215516 | + | 0.513116i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4409.25 | −0.627142 | −0.313571 | − | 0.949565i | \(-0.601525\pi\) | ||||
−0.313571 | + | 0.949565i | \(0.601525\pi\) | |||||||
\(368\) | 4554.03 | + | 2227.17i | 0.645095 | + | 0.315487i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3768.68 | − | 11335.8i | −0.529525 | − | 1.59276i | ||||
\(371\) | 1149.40i | 0.160846i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12639.7 | 1.75458 | 0.877291 | − | 0.479958i | \(-0.159348\pi\) | ||||
0.877291 | + | 0.479958i | \(0.159348\pi\) | |||||||
\(374\) | 128.223 | − | 36.7304i | 0.0177280 | − | 0.00507831i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6510.28 | − | 7218.77i | 0.892931 | − | 0.990105i | ||||
\(377\) | 433.156 | 0.0591742 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7204.70 | −0.976466 | −0.488233 | − | 0.872713i | \(-0.662358\pi\) | ||||
−0.488233 | + | 0.872713i | \(0.662358\pi\) | |||||||
\(380\) | −7516.68 | + | 5141.87i | −1.01473 | + | 0.694138i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1297.60 | − | 4529.85i | −0.173799 | − | 0.606720i | ||||
\(383\) | − | 6011.54i | − | 0.802024i | −0.916073 | − | 0.401012i | \(-0.868658\pi\) | ||
0.916073 | − | 0.401012i | \(-0.131342\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.98351 | − | 237.695i | −0.00132158 | − | 0.0314651i | ||||
\(386\) | 13105.2 | − | 3754.07i | 1.72808 | − | 0.495018i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6571.67 | + | 10529.4i | 0.859861 | + | 1.37770i | ||||
\(389\) | −3831.34 | −0.499374 | −0.249687 | − | 0.968327i | \(-0.580328\pi\) | ||||
−0.249687 | + | 0.968327i | \(0.580328\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3084.22i | 0.398915i | ||||||||
\(392\) | 576.472 | + | 519.894i | 0.0742761 | + | 0.0669862i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 10668.4 | − | 3056.02i | 1.36412 | − | 0.390762i | ||||
\(395\) | −243.077 | − | 5787.34i | −0.0309633 | − | 0.737197i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4037.67 | −0.510440 | −0.255220 | − | 0.966883i | \(-0.582148\pi\) | ||||
−0.255220 | + | 0.966883i | \(0.582148\pi\) | |||||||
\(398\) | −2288.27 | + | 655.491i | −0.288193 | + | 0.0825548i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2899.63 | − | 7456.01i | 0.362454 | − | 0.932002i | ||||
\(401\) | − | 323.101i | − | 0.0402367i | −0.999798 | − | 0.0201183i | \(-0.993596\pi\) | ||
0.999798 | − | 0.0201183i | \(-0.00640429\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 448.584i | − | 0.0554480i | ||||||
\(404\) | 2202.11 | − | 1374.40i | 0.271185 | − | 0.169254i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2579.47 | + | 9004.77i | 0.315313 | + | 1.10074i | ||||
\(407\) | 457.510i | 0.0557198i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5990.60 | −0.724245 | −0.362123 | − | 0.932130i | \(-0.617948\pi\) | ||||
−0.362123 | + | 0.932130i | \(0.617948\pi\) | |||||||
\(410\) | −6151.88 | + | 2045.24i | −0.741024 | + | 0.246359i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 982.759 | − | 613.367i | 0.117517 | − | 0.0733457i | ||||
\(413\) | 6219.66i | 0.741040i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5815.97 | − | 244.279i | 0.687939 | − | 0.0288944i | ||||
\(416\) | 409.571 | + | 72.7821i | 0.0482713 | + | 0.00857797i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 335.304 | − | 96.0501i | 0.0392351 | − | 0.0112391i | ||||
\(419\) | 9453.16i | 1.10219i | 0.834443 | + | 0.551094i | \(0.185790\pi\) | ||||
−0.834443 | + | 0.551094i | \(0.814210\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6916.63i | 0.800703i | 0.916362 | + | 0.400352i | \(0.131112\pi\) | ||||
−0.916362 | + | 0.400352i | \(0.868888\pi\) | |||||||
\(422\) | −1155.65 | − | 4034.28i | −0.133308 | − | 0.465369i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 991.381 | − | 1099.27i | 0.113551 | − | 0.125909i | ||||
\(425\) | 4850.00 | − | 408.133i | 0.553551 | − | 0.0465820i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 10457.2i | − | 1.18515i | ||||||
\(428\) | −10461.2 | + | 6529.11i | −1.18145 | + | 0.737374i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −11902.2 | + | 3956.98i | −1.33483 | + | 0.443774i | ||||
\(431\) | −2603.76 | −0.290995 | −0.145497 | − | 0.989359i | \(-0.546478\pi\) | ||||
−0.145497 | + | 0.989359i | \(0.546478\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7544.72i | 0.837359i | 0.908134 | + | 0.418679i | \(0.137507\pi\) | ||||
−0.908134 | + | 0.418679i | \(0.862493\pi\) | |||||||
\(434\) | 9325.49 | − | 2671.35i | 1.03142 | − | 0.295458i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5452.00 | + | 8735.39i | 0.598861 | + | 0.959517i | ||||
\(437\) | 8065.23i | 0.882866i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 11510.9i | − | 1.25144i | −0.780046 | − | 0.625722i | \(-0.784805\pi\) | ||
0.780046 | − | 0.625722i | \(-0.215195\pi\) | |||||||
\(440\) | −195.468 | + | 235.938i | −0.0211786 | + | 0.0255634i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 69.6943 | + | 243.298i | 0.00750005 | + | 0.0261821i | ||||
\(443\) | −8190.22 | −0.878396 | −0.439198 | − | 0.898390i | \(-0.644737\pi\) | ||||
−0.439198 | + | 0.898390i | \(0.644737\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −19.0175 | − | 452.782i | −0.00202587 | − | 0.0482335i | ||||
\(446\) | −507.013 | − | 1769.95i | −0.0538290 | − | 0.187913i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 925.975 | + | 8947.88i | 0.0976523 | + | 0.943633i | ||||
\(449\) | 12273.8i | 1.29006i | 0.764159 | + | 0.645028i | \(0.223154\pi\) | ||||
−0.764159 | + | 0.645028i | \(0.776846\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 248.289 | 0.0259234 | ||||||||
\(452\) | 12015.7 | − | 7499.31i | 1.25038 | − | 0.780394i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4280.15 | + | 14941.7i | 0.442462 | + | 1.54460i | ||||
\(455\) | 451.015 | − | 18.9432i | 0.0464701 | − | 0.00195181i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4219.29i | 0.431882i | 0.976406 | + | 0.215941i | \(0.0692819\pi\) | ||||
−0.976406 | + | 0.215941i | \(0.930718\pi\) | |||||||
\(458\) | −1225.94 | + | 351.178i | −0.125075 | + | 0.0358285i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4000.07 | − | 5847.53i | −0.405444 | − | 0.592701i | ||||
\(461\) | 11984.7 | 1.21081 | 0.605406 | − | 0.795916i | \(-0.293011\pi\) | ||||
0.605406 | + | 0.795916i | \(0.293011\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5339.85 | −0.535991 | −0.267996 | − | 0.963420i | \(-0.586361\pi\) | ||||
−0.267996 | + | 0.963420i | \(0.586361\pi\) | |||||||
\(464\) | 5299.81 | − | 10836.8i | 0.530254 | − | 1.08424i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3404.46 | − | 11884.7i | −0.338430 | − | 1.18144i | ||||
\(467\) | −17801.3 | −1.76391 | −0.881956 | − | 0.471332i | \(-0.843773\pi\) | ||||
−0.881956 | + | 0.471332i | \(0.843773\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 559.480i | 0.0550839i | ||||||||
\(470\) | −12891.5 | + | 4285.88i | −1.26519 | + | 0.420623i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5364.57 | − | 5948.38i | 0.523145 | − | 0.580077i | ||||
\(473\) | 480.370 | 0.0466965 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12682.7 | − | 1067.27i | 1.22510 | − | 0.103094i | ||||
\(476\) | −4642.82 | + | 2897.71i | −0.447066 | + | 0.279026i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2143.37 | − | 7482.34i | −0.205095 | − | 0.715971i | ||||
\(479\) | −2854.90 | −0.272325 | −0.136163 | − | 0.990686i | \(-0.543477\pi\) | ||||
−0.136163 | + | 0.990686i | \(0.543477\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −868.105 | −0.0822914 | ||||||||
\(482\) | −1477.93 | − | 5159.36i | −0.139664 | − | 0.487557i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −9023.07 | + | 5631.55i | −0.847396 | + | 0.528883i | ||||
\(485\) | −727.919 | − | 17330.8i | −0.0681508 | − | 1.62258i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 457.529 | 0.0425721 | 0.0212861 | − | 0.999773i | \(-0.493224\pi\) | ||||
0.0212861 | + | 0.999773i | \(0.493224\pi\) | |||||||
\(488\) | −9019.49 | + | 10001.0i | −0.836666 | + | 0.927717i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −342.259 | − | 1029.48i | −0.0315545 | − | 0.0949126i | ||||
\(491\) | − | 9459.38i | − | 0.869442i | −0.900565 | − | 0.434721i | \(-0.856847\pi\) | ||
0.900565 | − | 0.434721i | \(-0.143153\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7339.27 | 0.670475 | ||||||||
\(494\) | 182.251 | + | 636.224i | 0.0165989 | + | 0.0579455i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −11222.8 | − | 5488.58i | −1.01597 | − | 0.496864i | ||||
\(497\) | 1527.13 | 0.137829 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14875.1 | −1.33447 | −0.667234 | − | 0.744848i | \(-0.732522\pi\) | ||||
−0.667234 | + | 0.744848i | \(0.732522\pi\) | |||||||
\(500\) | −8666.03 | + | 7063.99i | −0.775113 | + | 0.631822i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 14514.4 | − | 4157.75i | 1.29046 | − | 0.369661i | ||||
\(503\) | − | 17690.4i | − | 1.56815i | −0.620669 | − | 0.784073i | \(-0.713139\pi\) | ||
0.620669 | − | 0.784073i | \(-0.286861\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3624.56 | + | 152.237i | −0.319388 | + | 0.0134147i | ||||
\(506\) | 74.7213 | + | 260.847i | 0.00656476 | + | 0.0229171i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12302.3 | − | 7678.22i | 1.07446 | − | 0.670603i | ||||
\(509\) | −6504.69 | −0.566435 | −0.283217 | − | 0.959056i | \(-0.591402\pi\) | ||||
−0.283217 | + | 0.959056i | \(0.591402\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5627.89i | 0.487208i | ||||||||
\(512\) | 6832.13 | − | 9356.27i | 0.589727 | − | 0.807603i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1443.11 | + | 5037.81i | 0.123839 | + | 0.432312i | ||||
\(515\) | −1617.57 | + | 67.9404i | −0.138405 | + | 0.00581322i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 520.298 | 0.0442605 | ||||||||
\(518\) | −5169.63 | − | 18046.8i | −0.438495 | − | 1.53076i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −447.682 | − | 370.891i | −0.0377541 | − | 0.0312782i | ||||
\(521\) | − | 20972.3i | − | 1.76356i | −0.471661 | − | 0.881780i | \(-0.656345\pi\) | ||
0.471661 | − | 0.881780i | \(-0.343655\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 8886.01i | − | 0.742941i | −0.928445 | − | 0.371470i | \(-0.878854\pi\) | ||
0.928445 | − | 0.371470i | \(-0.121146\pi\) | |||||||
\(524\) | −4785.80 | − | 7667.99i | −0.398986 | − | 0.639270i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8298.98 | + | 2377.30i | −0.687933 | + | 0.197063i | ||||
\(527\) | − | 7600.68i | − | 0.628256i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5892.73 | 0.484320 | ||||||||
\(530\) | −1963.11 | + | 652.651i | −0.160890 | + | 0.0534893i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −12141.0 | + | 7577.52i | −0.989433 | + | 0.617532i | ||||
\(533\) | 471.116i | 0.0382857i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 17218.6 | − | 723.205i | 1.39145 | − | 0.0584427i | ||||
\(536\) | 482.561 | − | 535.077i | 0.0388871 | − | 0.0431190i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5747.56 | − | 20064.3i | −0.460585 | − | 1.60787i | ||||
\(539\) | 41.5496i | 0.00332035i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 10773.5i | − | 0.856174i | −0.903737 | − | 0.428087i | \(-0.859188\pi\) | ||
0.903737 | − | 0.428087i | \(-0.140812\pi\) | |||||||
\(542\) | −21234.3 | + | 6082.72i | −1.68283 | + | 0.482057i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6939.65 | + | 1233.20i | 0.546939 | + | 0.0971929i | ||||
\(545\) | −603.897 | − | 14378.0i | −0.0474644 | − | 1.13007i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 7179.60i | − | 0.561202i | −0.959824 | − | 0.280601i | \(-0.909466\pi\) | ||
0.959824 | − | 0.280601i | \(-0.0905338\pi\) | |||||||
\(548\) | 14686.2 | − | 9166.04i | 1.14482 | − | 0.714514i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 400.299 | − | 152.018i | 0.0310342 | − | 0.0117856i | ||||
\(551\) | 19192.2 | 1.48387 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − | 9102.70i | − | 0.699975i | ||||||
\(554\) | −5700.50 | − | 19900.0i | −0.437168 | − | 1.52612i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15823.3 | + | 9875.75i | −1.20694 | + | 0.753283i | ||||
\(557\) | − | 8222.38i | − | 0.625482i | −0.949838 | − | 0.312741i | \(-0.898753\pi\) | ||
0.949838 | − | 0.312741i | \(-0.101247\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 911.480i | 0.0689651i | ||||||||
\(560\) | 5044.39 | − | 11515.4i | 0.380651 | − | 0.868956i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 17440.3 | − | 4995.88i | 1.30903 | − | 0.374980i | ||||
\(563\) | −8460.61 | −0.633343 | −0.316672 | − | 0.948535i | \(-0.602565\pi\) | ||||
−0.316672 | + | 0.948535i | \(0.602565\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19777.2 | + | 830.671i | −1.47263 | + | 0.0618524i | ||||
\(566\) | −10857.5 | + | 3110.20i | −0.806314 | + | 0.230974i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1460.52 | − | 1317.18i | −0.107891 | − | 0.0973020i | ||||
\(569\) | 23847.3i | 1.75700i | 0.477745 | + | 0.878499i | \(0.341454\pi\) | ||||
−0.477745 | + | 0.878499i | \(0.658546\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14897.6 | 1.09185 | 0.545925 | − | 0.837834i | \(-0.316178\pi\) | ||||
0.545925 | + | 0.837834i | \(0.316178\pi\) | |||||||
\(572\) | 11.7887 | + | 18.8884i | 0.000861734 | + | 0.00138070i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −9793.91 | + | 2805.53i | −0.712178 | + | 0.204008i | ||||
\(575\) | 830.271 | + | 9866.42i | 0.0602169 | + | 0.715579i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16102.6i | 1.16180i | 0.813975 | + | 0.580900i | \(0.197299\pi\) | ||||
−0.813975 | + | 0.580900i | \(0.802701\pi\) | |||||||
\(578\) | −2645.83 | − | 9236.40i | −0.190401 | − | 0.664678i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −13914.9 | + | 9518.64i | −0.996181 | + | 0.681448i | ||||
\(581\) | 9147.72 | 0.653204 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 79.2306 | 0.00562846 | ||||||||
\(584\) | 4854.16 | − | 5382.42i | 0.343950 | − | 0.381380i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12550.8 | + | 3595.26i | −0.884760 | + | 0.253445i | ||||
\(587\) | −18547.3 | −1.30414 | −0.652068 | − | 0.758161i | \(-0.726098\pi\) | ||||
−0.652068 | + | 0.758161i | \(0.726098\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 19875.8i | − | 1.39044i | ||||||
\(590\) | −10622.8 | + | 3531.63i | −0.741243 | + | 0.246432i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −10621.6 | + | 21718.6i | −0.737405 | + | 1.50782i | ||||
\(593\) | 17876.4 | 1.23793 | 0.618966 | − | 0.785418i | \(-0.287552\pi\) | ||||
0.618966 | + | 0.785418i | \(0.287552\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7641.86 | − | 320.969i | 0.526531 | − | 0.0221150i | ||||
\(596\) | −8965.82 | + | 5595.81i | −0.616198 | + | 0.384586i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −494.945 | + | 141.780i | −0.0338458 | + | 0.00969535i | ||||
\(599\) | 13964.6 | 0.952553 | 0.476277 | − | 0.879296i | \(-0.341986\pi\) | ||||
0.476277 | + | 0.879296i | \(0.341986\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9775.07 | 0.663450 | 0.331725 | − | 0.943376i | \(-0.392369\pi\) | ||||
0.331725 | + | 0.943376i | \(0.392369\pi\) | |||||||
\(602\) | −18948.5 | + | 5427.93i | −1.28286 | + | 0.367485i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 12177.9 | + | 19511.8i | 0.820382 | + | 1.31445i | ||||
\(605\) | 14851.5 | − | 623.785i | 0.998018 | − | 0.0419182i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 26752.6 | 1.78889 | 0.894444 | − | 0.447180i | \(-0.147572\pi\) | ||||
0.894444 | + | 0.447180i | \(0.147572\pi\) | |||||||
\(608\) | 18147.2 | + | 3224.81i | 1.21047 | + | 0.215104i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 17860.2 | − | 5937.75i | 1.18547 | − | 0.394119i | ||||
\(611\) | 987.240i | 0.0653674i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2985.70 | 0.196723 | 0.0983617 | − | 0.995151i | \(-0.468640\pi\) | ||||
0.0983617 | + | 0.995151i | \(0.468640\pi\) | |||||||
\(614\) | −7916.01 | + | 2267.59i | −0.520300 | + | 0.149043i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −322.462 | + | 357.555i | −0.0210915 | + | 0.0233868i | ||||
\(617\) | 18951.1 | 1.23654 | 0.618269 | − | 0.785966i | \(-0.287834\pi\) | ||||
0.618269 | + | 0.785966i | \(0.287834\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5709.25 | −0.370717 | −0.185359 | − | 0.982671i | \(-0.559345\pi\) | ||||
−0.185359 | + | 0.982671i | \(0.559345\pi\) | |||||||
\(620\) | 9857.67 | + | 14410.5i | 0.638538 | + | 0.933452i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3871.64 | + | 13515.6i | 0.249580 | + | 0.871266i | ||||
\(623\) | − | 712.164i | − | 0.0457981i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15405.3 | − | 2611.24i | 0.985937 | − | 0.167119i | ||||
\(626\) | −17988.0 | + | 5152.77i | −1.14847 | + | 0.328987i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −7211.95 | + | 4501.17i | −0.458261 | + | 0.286013i | ||||
\(629\) | −14708.9 | −0.932406 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 22893.9i | − | 1.44436i | −0.691706 | − | 0.722180i | \(-0.743140\pi\) | ||
0.691706 | − | 0.722180i | \(-0.256860\pi\) | |||||||
\(632\) | −7851.25 | + | 8705.67i | −0.494155 | + | 0.547932i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 14870.7 | − | 4259.80i | 0.931528 | − | 0.266842i | ||||
\(635\) | −20249.0 | + | 850.488i | −1.26545 | + | 0.0531505i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −78.8384 | −0.00490375 | ||||||||
\(638\) | 620.716 | − | 177.808i | 0.0385179 | − | 0.0110337i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −14756.6 | + | 6662.27i | −0.911417 | + | 0.411483i | ||||
\(641\) | 21664.2i | 1.33492i | 0.744645 | + | 0.667461i | \(0.232619\pi\) | ||||
−0.744645 | + | 0.667461i | \(0.767381\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 30691.8i | − | 1.88237i | −0.337886 | − | 0.941187i | \(-0.609712\pi\) | ||
0.337886 | − | 0.941187i | \(-0.390288\pi\) | |||||||
\(644\) | −5894.86 | − | 9444.97i | −0.360699 | − | 0.577925i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3088.00 | + | 10780.0i | 0.188074 | + | 0.656553i | ||||
\(647\) | 18491.6i | 1.12362i | 0.827268 | + | 0.561808i | \(0.189894\pi\) | ||||
−0.827268 | + | 0.561808i | \(0.810106\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 428.733 | 0.0259311 | ||||||||
\(650\) | 288.448 | + | 759.548i | 0.0174059 | + | 0.0458337i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5523.64 | − | 8850.18i | −0.331783 | − | 0.531595i | ||||
\(653\) | 16257.8i | 0.974301i | 0.873318 | + | 0.487151i | \(0.161964\pi\) | ||||
−0.873318 | + | 0.487151i | \(0.838036\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 530.106 | + | 12621.1i | 0.0316228 | + | 0.752899i | ||||
\(656\) | 11786.5 | + | 5764.27i | 0.701505 | + | 0.343075i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −20523.5 | + | 5879.09i | −1.21594 | + | 0.348314i | ||||
\(659\) | 26760.0i | 1.58183i | 0.611929 | + | 0.790913i | \(0.290394\pi\) | ||||
−0.611929 | + | 0.790913i | \(0.709606\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 8913.33i | − | 0.524491i | −0.965001 | − | 0.262245i | \(-0.915537\pi\) | ||
0.965001 | − | 0.262245i | \(-0.0844630\pi\) | |||||||
\(662\) | 3293.63 | + | 11497.8i | 0.193369 | + | 0.675039i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −8748.73 | − | 7890.08i | −0.511320 | − | 0.461136i | ||||
\(665\) | 19983.5 | − | 839.334i | 1.16530 | − | 0.0489443i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14930.4i | 0.866727i | ||||||||
\(668\) | 10714.5 | + | 17167.1i | 0.620592 | + | 0.994335i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −955.556 | + | 317.682i | −0.0550990 | + | 0.0183181i | ||||
\(671\) | −720.832 | −0.0414716 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31805.2i | 1.82169i | 0.412744 | + | 0.910847i | \(0.364570\pi\) | ||||
−0.412744 | + | 0.910847i | \(0.635430\pi\) | |||||||
\(674\) | 25147.5 | − | 7203.67i | 1.43716 | − | 0.411684i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 14874.4 | − | 9283.53i | 0.846292 | − | 0.528194i | ||||
\(677\) | 13746.1i | 0.780362i | 0.920738 | + | 0.390181i | \(0.127588\pi\) | ||||
−0.920738 | + | 0.390181i | \(0.872412\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 27259.0i | − | 1.54066i | ||||||
\(680\) | −7585.39 | − | 6284.28i | −0.427774 | − | 0.354399i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −184.141 | − | 642.824i | −0.0103389 | − | 0.0360924i | ||||
\(683\) | 4786.94 | 0.268180 | 0.134090 | − | 0.990969i | \(-0.457189\pi\) | ||||
0.134090 | + | 0.990969i | \(0.457189\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −24172.7 | + | 1015.29i | −1.34831 | + | 0.0566309i | ||||
\(686\) | −5163.41 | − | 18025.1i | −0.287376 | − | 1.00321i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 22803.7 | + | 11152.3i | 1.26364 | + | 0.617989i | ||||
\(689\) | 150.336i | 0.00831256i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8377.79 | 0.461225 | 0.230612 | − | 0.973046i | \(-0.425927\pi\) | ||||
0.230612 | + | 0.973046i | \(0.425927\pi\) | |||||||
\(692\) | 3757.14 | + | 6019.83i | 0.206394 | + | 0.330693i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6492.09 | + | 22663.4i | 0.355095 | + | 1.23961i | ||||
\(695\) | 26044.4 | − | 1093.90i | 1.42147 | − | 0.0597036i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7982.46i | 0.433798i | ||||||||
\(698\) | 1133.00 | − | 324.555i | 0.0614393 | − | 0.0175997i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −14072.3 | + | 10519.6i | −0.759834 | + | 0.568007i | ||||
\(701\) | −16788.3 | −0.904543 | −0.452271 | − | 0.891880i | \(-0.649386\pi\) | ||||
−0.452271 | + | 0.891880i | \(0.649386\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −38463.8 | −2.06357 | ||||||||
\(704\) | 616.795 | − | 63.8293i | 0.0330204 | − | 0.00341713i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2269.05 | − | 7921.08i | −0.120958 | − | 0.422258i | ||||
\(707\) | −5700.94 | −0.303262 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 24847.5i | − | 1.31617i | −0.752943 | − | 0.658086i | \(-0.771366\pi\) | ||
0.752943 | − | 0.658086i | \(-0.228634\pi\) | |||||||
\(710\) | 867.131 | + | 2608.24i | 0.0458350 | + | 0.137867i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −614.255 | + | 681.101i | −0.0323317 | + | 0.0358502i | ||||
\(713\) | 15462.2 | 0.812150 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.30579 | − | 31.0893i | −6.82992e−5 | − | 0.00162612i | ||||
\(716\) | −15055.3 | − | 24122.1i | −0.785813 | − | 1.25906i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8472.73 | − | 29577.7i | −0.440389 | − | 1.53737i | ||||
\(719\) | −25349.7 | −1.31486 | −0.657430 | − | 0.753516i | \(-0.728356\pi\) | ||||
−0.657430 | + | 0.753516i | \(0.728356\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2544.22 | −0.131417 | ||||||||
\(722\) | 2732.69 | + | 9539.62i | 0.140859 | + | 0.491728i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4753.31 | + | 7615.93i | 0.243999 | + | 0.390944i | ||||
\(725\) | 23478.3 | − | 1975.73i | 1.20271 | − | 0.101209i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 18469.7 | 0.942233 | 0.471116 | − | 0.882071i | \(-0.343851\pi\) | ||||
0.471116 | + | 0.882071i | \(0.343851\pi\) | |||||||
\(728\) | −678.443 | − | 611.857i | −0.0345395 | − | 0.0311496i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −9612.09 | + | 3195.61i | −0.487341 | + | 0.162021i | ||||
\(731\) | 15443.9i | 0.781412i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9953.90 | 0.501576 | 0.250788 | − | 0.968042i | \(-0.419310\pi\) | ||||
0.250788 | + | 0.968042i | \(0.419310\pi\) | |||||||
\(734\) | −3434.34 | − | 11989.1i | −0.172703 | − | 0.602894i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2508.71 | + | 14117.4i | −0.125642 | + | 0.707032i | ||||
\(737\) | 38.5660 | 0.00192754 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 23550.8 | 1.17230 | 0.586150 | − | 0.810203i | \(-0.300643\pi\) | ||||
0.586150 | + | 0.810203i | \(0.300643\pi\) | |||||||
\(740\) | 27887.4 | − | 19076.7i | 1.38535 | − | 0.947666i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3125.30 | + | 895.263i | −0.154627 | + | 0.0442940i | ||||
\(743\) | − | 22216.4i | − | 1.09696i | −0.836164 | − | 0.548480i | \(-0.815207\pi\) | ||
0.836164 | − | 0.548480i | \(-0.184793\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 14757.3 | − | 619.827i | 0.725726 | − | 0.0304815i | ||||
\(746\) | 9845.00 | + | 34368.2i | 0.483178 | + | 1.68674i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 199.745 | + | 320.039i | 0.00976391 | + | 0.0156441i | ||||
\(749\) | 27082.5 | 1.32119 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1554.76i | 0.0755444i | 0.999286 | + | 0.0377722i | \(0.0120261\pi\) | ||||
−0.999286 | + | 0.0377722i | \(0.987974\pi\) | |||||||
\(752\) | 24699.1 | + | 12079.2i | 1.19772 | + | 0.585750i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 337.383 | + | 1177.78i | 0.0162954 | + | 0.0568862i | ||||
\(755\) | −1348.90 | − | 32115.5i | −0.0650217 | − | 1.54808i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −13835.7 | −0.664287 | −0.332144 | − | 0.943229i | \(-0.607772\pi\) | ||||
−0.332144 | + | 0.943229i | \(0.607772\pi\) | |||||||
\(758\) | −5611.70 | − | 19590.1i | −0.268900 | − | 0.938711i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −19835.8 | − | 16433.4i | −0.946736 | − | 0.784344i | ||||
\(761\) | 23563.7i | 1.12245i | 0.827664 | + | 0.561224i | \(0.189670\pi\) | ||||
−0.827664 | + | 0.561224i | \(0.810330\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 22614.7i | − | 1.07301i | ||||||
\(764\) | 11306.3 | − | 7056.55i | 0.535401 | − | 0.334158i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 16345.8 | − | 4682.36i | 0.771014 | − | 0.220862i | ||||
\(767\) | 813.502i | 0.0382971i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −23989.8 | −1.12496 | −0.562480 | − | 0.826811i | \(-0.690153\pi\) | ||||
−0.562480 | + | 0.826811i | \(0.690153\pi\) | |||||||
\(770\) | 638.532 | − | 212.285i | 0.0298845 | − | 0.00993535i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 20415.1 | + | 32709.9i | 0.951757 | + | 1.52494i | ||||
\(773\) | 32032.6i | 1.49047i | 0.666802 | + | 0.745235i | \(0.267663\pi\) | ||||
−0.666802 | + | 0.745235i | \(0.732337\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2046.10 | − | 24314.6i | −0.0948362 | − | 1.12697i | ||||
\(776\) | −23511.4 | + | 26070.1i | −1.08764 | + | 1.20601i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2984.21 | − | 10417.7i | −0.137518 | − | 0.480066i | ||||
\(779\) | 20874.1i | 0.960068i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 105.268i | − | 0.00482303i | ||||||
\(782\) | −8386.20 | + | 2402.28i | −0.383491 | + | 0.109854i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −964.615 | + | 1972.41i | −0.0439420 | + | 0.0898509i | ||||
\(785\) | 11870.5 | − | 498.578i | 0.539716 | − | 0.0226688i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 32873.6i | 1.48897i | 0.667640 | + | 0.744485i | \(0.267305\pi\) | ||||
−0.667640 | + | 0.744485i | \(0.732695\pi\) | |||||||
\(788\) | 16619.0 | + | 26627.7i | 0.751306 | + | 1.20377i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 15546.8 | − | 5168.67i | 0.700167 | − | 0.232776i | ||||
\(791\) | −31106.9 | −1.39827 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 1367.75i | − | 0.0612485i | ||||||
\(794\) | −3144.92 | − | 10978.7i | −0.140565 | − | 0.490704i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3564.65 | − | 5711.41i | −0.158726 | − | 0.254316i | ||||
\(797\) | − | 18569.4i | − | 0.825298i | −0.910890 | − | 0.412649i | \(-0.864604\pi\) | ||
0.910890 | − | 0.412649i | \(-0.135396\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16727.5i | 0.740647i | ||||||||
\(800\) | 22531.9 | + | 2076.85i | 0.995779 | + | 0.0917846i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 878.533 | − | 251.662i | 0.0386809 | − | 0.0110804i | ||||
\(803\) | 387.942 | 0.0170488 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 652.952 | + | 15546.0i | 0.0285882 | + | 0.680650i | ||||
\(806\) | 1219.73 | − | 349.399i | 0.0533041 | − | 0.0152693i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 5452.28 | + | 4917.17i | 0.237389 | + | 0.214091i | ||||
\(809\) | − | 12596.0i | − | 0.547405i | −0.961814 | − | 0.273702i | \(-0.911752\pi\) | ||
0.961814 | − | 0.273702i | \(-0.0882484\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −23294.9 | −1.00862 | −0.504312 | − | 0.863522i | \(-0.668254\pi\) | ||||
−0.504312 | + | 0.863522i | \(0.668254\pi\) | |||||||
\(812\) | −22475.4 | + | 14027.5i | −0.971346 | + | 0.606243i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1244.00 | + | 356.352i | −0.0535654 | + | 0.0153442i | ||||
\(815\) | 611.833 | + | 14567.0i | 0.0262964 | + | 0.626084i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 40385.7i | 1.72940i | ||||||||
\(818\) | −4666.05 | − | 16288.8i | −0.199443 | − | 0.696242i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −10352.8 | − | 15134.4i | −0.440898 | − | 0.644530i | ||||
\(821\) | 1847.19 | 0.0785229 | 0.0392614 | − | 0.999229i | \(-0.487499\pi\) | ||||
0.0392614 | + | 0.999229i | \(0.487499\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −46776.9 | −1.98122 | −0.990608 | − | 0.136729i | \(-0.956341\pi\) | ||||
−0.990608 | + | 0.136729i | \(0.956341\pi\) | |||||||
\(824\) | 2433.25 | + | 2194.44i | 0.102872 | + | 0.0927754i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −16911.7 | + | 4844.46i | −0.712388 | + | 0.204068i | ||||
\(827\) | −11543.9 | −0.485392 | −0.242696 | − | 0.970102i | \(-0.578032\pi\) | ||||
−0.242696 | + | 0.970102i | \(0.578032\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 42223.8i | 1.76899i | 0.466548 | + | 0.884496i | \(0.345498\pi\) | ||||
−0.466548 | + | 0.884496i | \(0.654502\pi\) | |||||||
\(830\) | 5194.24 | + | 15623.7i | 0.217222 | + | 0.653383i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 121.113 | + | 1170.34i | 0.00504668 | + | 0.0487671i | ||||
\(833\) | −1335.82 | −0.0555621 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1186.80 | − | 28256.2i | −0.0491868 | − | 1.17107i | ||||
\(836\) | 522.333 | + | 836.902i | 0.0216092 | + | 0.0346230i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −25703.8 | + | 7363.01i | −1.05957 | + | 0.303522i | ||||
\(839\) | 21486.3 | 0.884137 | 0.442069 | − | 0.896981i | \(-0.354245\pi\) | ||||
0.442069 | + | 0.896981i | \(0.354245\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11139.6 | 0.456748 | ||||||||
\(842\) | −18806.8 | + | 5387.33i | −0.769744 | + | 0.220498i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 10069.3 | − | 6284.56i | 0.410665 | − | 0.256307i | ||||
\(845\) | −24482.6 | + | 1028.30i | −0.996718 | + | 0.0418635i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 23359.4 | 0.947627 | ||||||||
\(848\) | 3761.17 | + | 1839.42i | 0.152310 | + | 0.0744880i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4887.38 | + | 12869.6i | 0.197218 | + | 0.519321i | ||||
\(851\) | − | 29922.6i | − | 1.20533i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 41043.4 | 1.64748 | 0.823740 | − | 0.566967i | \(-0.191883\pi\) | ||||
0.823740 | + | 0.566967i | \(0.191883\pi\) | |||||||
\(854\) | 28433.7 | − | 8145.02i | 1.13932 | − | 0.326366i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −25901.2 | − | 23359.2i | −1.03421 | − | 0.932710i | ||||
\(857\) | 11059.4 | 0.440819 | 0.220409 | − | 0.975407i | \(-0.429261\pi\) | ||||
0.220409 | + | 0.975407i | \(0.429261\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9970.32 | −0.396022 | −0.198011 | − | 0.980200i | \(-0.563448\pi\) | ||||
−0.198011 | + | 0.980200i | \(0.563448\pi\) | |||||||
\(860\) | −20029.9 | − | 29280.8i | −0.794201 | − | 1.16101i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2028.06 | − | 7079.80i | −0.0801344 | − | 0.279744i | ||||
\(863\) | − | 39264.2i | − | 1.54875i | −0.632728 | − | 0.774374i | \(-0.718065\pi\) | ||
0.632728 | − | 0.774374i | \(-0.281935\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −416.164 | − | 9908.34i | −0.0163584 | − | 0.389473i | ||||
\(866\) | −20514.6 | + | 5876.54i | −0.804982 | + | 0.230592i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 14527.1 | + | 23275.9i | 0.568069 | + | 0.910181i | ||||
\(869\) | −627.467 | −0.0244941 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 73.1772i | 0.00284675i | ||||||||
\(872\) | −19505.6 | + | 21628.3i | −0.757503 | + | 0.839938i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −21929.9 | + | 6281.97i | −0.848730 | + | 0.243124i | ||||
\(875\) | 24359.9 | − | 3083.97i | 0.941160 | − | 0.119151i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 18829.4 | 0.725000 | 0.362500 | − | 0.931984i | \(-0.381923\pi\) | ||||
0.362500 | + | 0.931984i | \(0.381923\pi\) | |||||||
\(878\) | 31298.8 | − | 8965.75i | 1.20306 | − | 0.344624i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −793.780 | − | 347.720i | −0.0304072 | − | 0.0133200i | ||||
\(881\) | − | 47636.4i | − | 1.82169i | −0.412748 | − | 0.910845i | \(-0.635431\pi\) | ||
0.412748 | − | 0.910845i | \(-0.364569\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 16281.8i | 0.620528i | 0.950650 | + | 0.310264i | \(0.100418\pi\) | ||||
−0.950650 | + | 0.310264i | \(0.899582\pi\) | |||||||
\(884\) | −607.259 | + | 379.007i | −0.0231044 | + | 0.0144201i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6379.32 | − | 22269.8i | −0.241893 | − | 0.844433i | ||||
\(887\) | 26169.5i | 0.990626i | 0.868715 | + | 0.495313i | \(0.164947\pi\) | ||||
−0.868715 | + | 0.495313i | \(0.835053\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −31849.0 | −1.20155 | ||||||||
\(890\) | 1216.33 | − | 404.379i | 0.0458107 | − | 0.0152301i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4417.69 | − | 2757.20i | 0.165824 | − | 0.103495i | ||||
\(893\) | 43742.4i | 1.63918i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1667.62 | + | 39703.8i | 0.0622819 | + | 1.48285i | ||||
\(896\) | −23608.6 | + | 9487.24i | −0.880256 | + | 0.353735i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −33373.2 | + | 9559.97i | −1.24018 | + | 0.355257i | ||||
\(899\) | − | 36794.1i | − | 1.36502i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2547.26i | 0.0941858i | ||||||||
\(902\) | 193.391 | + | 675.113i | 0.00713881 | + | 0.0249211i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 29750.1 | + | 26830.2i | 1.09455 | + | 0.987125i | ||||
\(905\) | −526.506 | − | 12535.5i | −0.0193389 | − | 0.460434i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 26934.6i | − | 0.986053i | −0.870014 | − | 0.493026i | \(-0.835891\pi\) | ||
0.870014 | − | 0.493026i | \(-0.164109\pi\) | |||||||
\(908\) | −37293.8 | + | 23276.1i | −1.36304 | + | 0.850708i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 402.801 | + | 1211.58i | 0.0146733 | + | 0.0441358i | ||||
\(911\) | −801.496 | −0.0291490 | −0.0145745 | − | 0.999894i | \(-0.504639\pi\) | ||||
−0.0145745 | + | 0.999894i | \(0.504639\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 630.570i | − | 0.0228574i | ||||||
\(914\) | −11472.5 | + | 3286.38i | −0.415184 | + | 0.118932i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1909.75 | − | 3059.88i | −0.0688865 | − | 0.110372i | ||||
\(917\) | 19851.3i | 0.714884i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10268.4i | 0.368578i | 0.982872 | + | 0.184289i | \(0.0589982\pi\) | ||||
−0.982872 | + | 0.184289i | \(0.941002\pi\) | |||||||
\(920\) | 12784.2 | − | 15431.1i | 0.458133 | − | 0.552986i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 9334.84 | + | 32587.3i | 0.333435 | + | 1.16400i | ||||
\(923\) | 199.741 | 0.00712303 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −47053.8 | + | 3959.64i | −1.67256 | + | 0.140748i | ||||
\(926\) | −4159.18 | − | 14519.4i | −0.147602 | − | 0.515267i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 33594.1 | + | 5969.78i | 1.18834 | + | 0.211172i | ||||
\(929\) | 11407.5i | 0.402872i | 0.979502 | + | 0.201436i | \(0.0645608\pi\) | ||||
−0.979502 | + | 0.201436i | \(0.935439\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3493.16 | −0.122968 | ||||||||
\(932\) | 29663.7 | − | 18513.9i | 1.04256 | − | 0.650690i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −13865.3 | − | 48403.0i | −0.485747 | − | 1.69571i | ||||
\(935\) | −22.1250 | − | 526.769i | −0.000773867 | − | 0.0184248i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 18407.4i | − | 0.641775i | −0.947117 | − | 0.320887i | \(-0.896019\pi\) | ||
0.947117 | − | 0.320887i | \(-0.103981\pi\) | |||||||
\(938\) | −1521.26 | + | 435.776i | −0.0529541 | + | 0.0151691i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −21694.7 | − | 31714.6i | −0.752769 | − | 1.10044i | ||||
\(941\) | −18620.6 | −0.645072 | −0.322536 | − | 0.946557i | \(-0.604535\pi\) | ||||
−0.322536 | + | 0.946557i | \(0.604535\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −16238.8 | −0.560773 | ||||||||
\(944\) | 20352.5 | + | 9953.47i | 0.701712 | + | 0.343176i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 374.158 | + | 1306.16i | 0.0128593 | + | 0.0448910i | ||||
\(947\) | −14613.0 | −0.501436 | −0.250718 | − | 0.968060i | \(-0.580667\pi\) | ||||
−0.250718 | + | 0.968060i | \(0.580667\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 736.101i | 0.0251790i | ||||||||
\(950\) | 12780.5 | + | 33653.9i | 0.436478 | + | 1.14934i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −11495.3 | − | 10367.1i | −0.391351 | − | 0.352942i | ||||
\(953\) | −17273.6 | −0.587144 | −0.293572 | − | 0.955937i | \(-0.594844\pi\) | ||||
−0.293572 | + | 0.955937i | \(0.594844\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18609.6 | + | 781.627i | −0.630567 | + | 0.0264847i | ||||
\(956\) | 18675.5 | − | 11655.9i | 0.631809 | − | 0.394329i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2223.67 | − | 7762.67i | −0.0749931 | − | 0.261796i | ||||
\(959\) | −38020.4 | −1.28023 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8313.57 | −0.279063 | ||||||||
\(962\) | −676.162 | − | 2360.43i | −0.0226615 | − | 0.0791096i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 12877.5 | − | 8037.20i | 0.430245 | − | 0.268528i | ||||
\(965\) | −2261.31 | − | 53838.9i | −0.0754343 | − | 1.79599i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8667.36 | 0.288235 | 0.144118 | − | 0.989561i | \(-0.453966\pi\) | ||||
0.144118 | + | 0.989561i | \(0.453966\pi\) | |||||||
\(968\) | −22340.6 | − | 20148.0i | −0.741790 | − | 0.668987i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 46556.7 | − | 15478.2i | 1.54108 | − | 0.512344i | ||||
\(971\) | 17837.4i | 0.589524i | 0.955571 | + | 0.294762i | \(0.0952404\pi\) | ||||
−0.955571 | + | 0.294762i | \(0.904760\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 40964.3 | 1.34970 | ||||||||
\(974\) | 356.367 | + | 1244.05i | 0.0117235 | + | 0.0409261i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −34218.7 | − | 16734.8i | −1.12225 | − | 0.548841i | ||||
\(977\) | −18264.1 | −0.598077 | −0.299038 | − | 0.954241i | \(-0.596666\pi\) | ||||
−0.299038 | + | 0.954241i | \(0.596666\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −49.0909 | −0.00160261 | ||||||||
\(980\) | 2532.64 | − | 1732.48i | 0.0825533 | − | 0.0564715i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 25720.7 | − | 7367.86i | 0.835825 | − | 0.239428i | ||||
\(983\) | − | 13106.5i | − | 0.425261i | −0.977133 | − | 0.212630i | \(-0.931797\pi\) | ||
0.977133 | − | 0.212630i | \(-0.0682030\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1840.83 | − | 43827.8i | −0.0595469 | − | 1.41774i | ||||
\(986\) | 5716.52 | + | 19956.0i | 0.184636 | + | 0.644551i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1587.98 | + | 991.103i | −0.0511340 | + | 0.0319142i | ||||
\(989\) | −31417.7 | −1.01014 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17141.8i | 0.549473i | 0.961520 | + | 0.274736i | \(0.0885905\pi\) | ||||
−0.961520 | + | 0.274736i | \(0.911409\pi\) | |||||||
\(992\) | 6182.41 | − | 34790.6i | 0.197875 | − | 1.11351i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1189.47 | + | 4152.37i | 0.0379555 | + | 0.132500i | ||||
\(995\) | 394.843 | + | 9400.71i | 0.0125803 | + | 0.299520i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −32317.1 | −1.02657 | −0.513286 | − | 0.858218i | \(-0.671572\pi\) | ||||
−0.513286 | + | 0.858218i | \(0.671572\pi\) | |||||||
\(998\) | −11586.1 | − | 40446.3i | −0.367487 | − | 1.28287i | ||||
\(999\) | 0 | 0 |
(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 | 360.4.m.c.179.36 | yes | 64 | |
3.2 | odd | 2 | inner | 360.4.m.c.179.29 | ✓ | 64 | |
4.3 | odd | 2 | 1440.4.m.c.719.61 | 64 | |||
5.4 | even | 2 | inner | 360.4.m.c.179.30 | yes | 64 | |
8.3 | odd | 2 | inner | 360.4.m.c.179.33 | yes | 64 | |
8.5 | even | 2 | 1440.4.m.c.719.4 | 64 | |||
12.11 | even | 2 | 1440.4.m.c.719.3 | 64 | |||
15.14 | odd | 2 | inner | 360.4.m.c.179.35 | yes | 64 | |
20.19 | odd | 2 | 1440.4.m.c.719.64 | 64 | |||
24.5 | odd | 2 | 1440.4.m.c.719.62 | 64 | |||
24.11 | even | 2 | inner | 360.4.m.c.179.32 | yes | 64 | |
40.19 | odd | 2 | inner | 360.4.m.c.179.31 | yes | 64 | |
40.29 | even | 2 | 1440.4.m.c.719.1 | 64 | |||
60.59 | even | 2 | 1440.4.m.c.719.2 | 64 | |||
120.29 | odd | 2 | 1440.4.m.c.719.63 | 64 | |||
120.59 | even | 2 | inner | 360.4.m.c.179.34 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.4.m.c.179.29 | ✓ | 64 | 3.2 | odd | 2 | inner | |
360.4.m.c.179.30 | yes | 64 | 5.4 | even | 2 | inner | |
360.4.m.c.179.31 | yes | 64 | 40.19 | odd | 2 | inner | |
360.4.m.c.179.32 | yes | 64 | 24.11 | even | 2 | inner | |
360.4.m.c.179.33 | yes | 64 | 8.3 | odd | 2 | inner | |
360.4.m.c.179.34 | yes | 64 | 120.59 | even | 2 | inner | |
360.4.m.c.179.35 | yes | 64 | 15.14 | odd | 2 | inner | |
360.4.m.c.179.36 | yes | 64 | 1.1 | even | 1 | trivial | |
1440.4.m.c.719.1 | 64 | 40.29 | even | 2 | |||
1440.4.m.c.719.2 | 64 | 60.59 | even | 2 | |||
1440.4.m.c.719.3 | 64 | 12.11 | even | 2 | |||
1440.4.m.c.719.4 | 64 | 8.5 | even | 2 | |||
1440.4.m.c.719.61 | 64 | 4.3 | odd | 2 | |||
1440.4.m.c.719.62 | 64 | 24.5 | odd | 2 | |||
1440.4.m.c.719.63 | 64 | 120.29 | odd | 2 | |||
1440.4.m.c.719.64 | 64 | 20.19 | odd | 2 |