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 | 179.9 | ||
Character | \(\chi\) | \(=\) | 360.179 |
Dual form | 360.4.m.c.179.11 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.59365 | − | 1.12826i | −0.916995 | − | 0.398899i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 5.45407 | + | 5.85262i | 0.681759 | + | 0.731577i | ||||
\(5\) | −6.79264 | + | 8.88032i | −0.607552 | + | 0.794280i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 14.0413 | 0.758158 | 0.379079 | − | 0.925364i | \(-0.376241\pi\) | ||||
0.379079 | + | 0.925364i | \(0.376241\pi\) | |||||||
\(8\) | −7.54271 | − | 21.3333i | −0.333344 | − | 0.942805i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 27.6370 | − | 15.3686i | 0.873960 | − | 0.485998i | ||||
\(11\) | − | 30.3917i | − | 0.833039i | −0.909127 | − | 0.416520i | \(-0.863250\pi\) | ||
0.909127 | − | 0.416520i | \(-0.136750\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −63.3338 | −1.35120 | −0.675602 | − | 0.737267i | \(-0.736116\pi\) | ||||
−0.675602 | + | 0.737267i | \(0.736116\pi\) | |||||||
\(14\) | −36.4182 | − | 15.8422i | −0.695227 | − | 0.302429i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.50624 | + | 63.8412i | −0.0704100 | + | 0.997518i | ||||
\(17\) | −111.898 | −1.59642 | −0.798210 | − | 0.602380i | \(-0.794219\pi\) | ||||
−0.798210 | + | 0.602380i | \(0.794219\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 151.363 | 1.82763 | 0.913816 | − | 0.406128i | \(-0.133121\pi\) | ||||
0.913816 | + | 0.406128i | \(0.133121\pi\) | |||||||
\(20\) | −89.0206 | + | 8.67916i | −0.995281 | + | 0.0970360i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −34.2896 | + | 78.8254i | −0.332299 | + | 0.763893i | ||||
\(23\) | 48.6086i | 0.440678i | 0.975423 | + | 0.220339i | \(0.0707164\pi\) | ||||
−0.975423 | + | 0.220339i | \(0.929284\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −32.7201 | − | 120.642i | −0.261761 | − | 0.965133i | ||||
\(26\) | 164.266 | + | 71.4569i | 1.23905 | + | 0.538994i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 76.5821 | + | 82.1782i | 0.516881 | + | 0.554651i | ||||
\(29\) | 140.714 | 0.901029 | 0.450515 | − | 0.892769i | \(-0.351240\pi\) | ||||
0.450515 | + | 0.892769i | \(0.351240\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 148.439i | − | 0.860016i | −0.902825 | − | 0.430008i | \(-0.858511\pi\) | ||
0.902825 | − | 0.430008i | \(-0.141489\pi\) | |||||||
\(32\) | 83.7169 | − | 160.498i | 0.462475 | − | 0.886632i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 290.223 | + | 126.249i | 1.46391 | + | 0.636811i | ||||
\(35\) | −95.3774 | + | 124.691i | −0.460621 | + | 0.602190i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 313.282 | 1.39198 | 0.695990 | − | 0.718052i | \(-0.254966\pi\) | ||||
0.695990 | + | 0.718052i | \(0.254966\pi\) | |||||||
\(38\) | −392.583 | − | 170.776i | −1.67593 | − | 0.729041i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 240.681 | + | 77.9275i | 0.951375 | + | 0.308035i | ||||
\(41\) | − | 317.260i | − | 1.20848i | −0.796803 | − | 0.604240i | \(-0.793477\pi\) | ||
0.796803 | − | 0.604240i | \(-0.206523\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 185.037i | 0.656228i | 0.944638 | + | 0.328114i | \(0.106413\pi\) | ||||
−0.944638 | + | 0.328114i | \(0.893587\pi\) | |||||||
\(44\) | 177.871 | − | 165.758i | 0.609432 | − | 0.567932i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 54.8431 | − | 126.074i | 0.175786 | − | 0.404100i | ||||
\(47\) | − | 5.81902i | − | 0.0180594i | −0.999959 | − | 0.00902970i | \(-0.997126\pi\) | ||
0.999959 | − | 0.00902970i | \(-0.00287428\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −145.842 | −0.425196 | ||||||||
\(50\) | −51.2502 | + | 349.819i | −0.144958 | + | 0.989438i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −345.427 | − | 370.669i | −0.921195 | − | 0.988510i | ||||
\(53\) | 11.0336i | 0.0285959i | 0.999898 | + | 0.0142979i | \(0.00455133\pi\) | ||||
−0.999898 | + | 0.0142979i | \(0.995449\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 269.888 | + | 206.440i | 0.661666 | + | 0.506115i | ||||
\(56\) | −105.909 | − | 299.546i | −0.252727 | − | 0.714796i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −364.962 | − | 158.761i | −0.826239 | − | 0.359420i | ||||
\(59\) | − | 487.075i | − | 1.07478i | −0.843335 | − | 0.537388i | \(-0.819411\pi\) | ||
0.843335 | − | 0.537388i | \(-0.180589\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 615.070i | 1.29101i | 0.763755 | + | 0.645506i | \(0.223353\pi\) | ||||
−0.763755 | + | 0.645506i | \(0.776647\pi\) | |||||||
\(62\) | −167.478 | + | 385.000i | −0.343060 | + | 0.788630i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −398.215 | + | 321.821i | −0.777764 | + | 0.628556i | ||||
\(65\) | 430.204 | − | 562.425i | 0.820927 | − | 1.07323i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 1052.25i | − | 1.91870i | −0.282211 | − | 0.959352i | \(-0.591068\pi\) | ||
0.282211 | − | 0.959352i | \(-0.408932\pi\) | |||||||
\(68\) | −610.297 | − | 654.893i | −1.08837 | − | 1.16790i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 388.059 | − | 215.795i | 0.662600 | − | 0.368464i | ||||
\(71\) | 731.511 | 1.22274 | 0.611369 | − | 0.791345i | \(-0.290619\pi\) | ||||
0.611369 | + | 0.791345i | \(0.290619\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 712.466i | − | 1.14230i | −0.820846 | − | 0.571150i | \(-0.806497\pi\) | ||
0.820846 | − | 0.571150i | \(-0.193503\pi\) | |||||||
\(74\) | −812.545 | − | 353.463i | −1.27644 | − | 0.555260i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 825.543 | + | 885.868i | 1.24600 | + | 1.33705i | ||||
\(77\) | − | 426.738i | − | 0.631575i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 1183.32i | − | 1.68523i | −0.538513 | − | 0.842617i | \(-0.681014\pi\) | ||
0.538513 | − | 0.842617i | \(-0.318986\pi\) | |||||||
\(80\) | −536.321 | − | 473.667i | −0.749531 | − | 0.661970i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −357.951 | + | 822.862i | −0.482062 | + | 1.10817i | ||||
\(83\) | 571.286 | 0.755504 | 0.377752 | − | 0.925907i | \(-0.376697\pi\) | ||||
0.377752 | + | 0.925907i | \(0.376697\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 760.079 | − | 993.685i | 0.969908 | − | 1.26800i | ||||
\(86\) | 208.769 | − | 479.921i | 0.261769 | − | 0.601758i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −648.353 | + | 229.235i | −0.785394 | + | 0.277688i | ||||
\(89\) | − | 210.625i | − | 0.250856i | −0.992103 | − | 0.125428i | \(-0.959970\pi\) | ||
0.992103 | − | 0.125428i | \(-0.0400304\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −889.288 | −1.02443 | ||||||||
\(92\) | −284.488 | + | 265.115i | −0.322390 | + | 0.300436i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.56536 | + | 15.0925i | −0.00720388 | + | 0.0165604i | ||||
\(95\) | −1028.15 | + | 1344.15i | −1.11038 | + | 1.45165i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 796.429i | − | 0.833661i | −0.908984 | − | 0.416831i | \(-0.863141\pi\) | ||
0.908984 | − | 0.416831i | \(-0.136859\pi\) | |||||||
\(98\) | 378.264 | + | 164.548i | 0.389903 | + | 0.169611i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 527.611 | − | 849.486i | 0.527611 | − | 0.849486i | ||||
\(101\) | 1735.89 | 1.71018 | 0.855089 | − | 0.518482i | \(-0.173503\pi\) | ||||
0.855089 | + | 0.518482i | \(0.173503\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 314.830 | 0.301175 | 0.150588 | − | 0.988597i | \(-0.451883\pi\) | ||||
0.150588 | + | 0.988597i | \(0.451883\pi\) | |||||||
\(104\) | 477.708 | + | 1351.12i | 0.450415 | + | 1.27392i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.4487 | − | 28.6173i | 0.0114069 | − | 0.0262223i | ||||
\(107\) | 644.370 | 0.582183 | 0.291092 | − | 0.956695i | \(-0.405982\pi\) | ||||
0.291092 | + | 0.956695i | \(0.405982\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 119.444i | 0.104960i | 0.998622 | + | 0.0524800i | \(0.0167126\pi\) | ||||
−0.998622 | + | 0.0524800i | \(0.983287\pi\) | |||||||
\(110\) | −467.078 | − | 839.936i | −0.404856 | − | 0.728043i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −63.2734 | + | 896.412i | −0.0533819 | + | 0.756276i | ||||
\(113\) | −632.581 | −0.526621 | −0.263311 | − | 0.964711i | \(-0.584814\pi\) | ||||
−0.263311 | + | 0.964711i | \(0.584814\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −431.660 | − | 330.181i | −0.350022 | − | 0.267735i | ||||
\(116\) | 767.462 | + | 823.543i | 0.614285 | + | 0.659172i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −549.546 | + | 1263.30i | −0.428728 | + | 0.985564i | ||||
\(119\) | −1571.18 | −1.21034 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 407.347 | 0.306046 | ||||||||
\(122\) | 693.958 | − | 1595.28i | 0.514984 | − | 1.18385i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 868.758 | − | 809.598i | 0.629168 | − | 0.586323i | ||||
\(125\) | 1293.59 | + | 528.910i | 0.925619 | + | 0.378457i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −928.550 | −0.648784 | −0.324392 | − | 0.945923i | \(-0.605160\pi\) | ||||
−0.324392 | + | 0.945923i | \(0.605160\pi\) | |||||||
\(128\) | 1395.93 | − | 385.402i | 0.963936 | − | 0.266133i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1750.36 | + | 973.353i | −1.18090 | + | 0.656683i | ||||
\(131\) | 154.216i | 0.102854i | 0.998677 | + | 0.0514272i | \(0.0163770\pi\) | ||||
−0.998677 | + | 0.0514272i | \(0.983623\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2125.33 | 1.38563 | ||||||||
\(134\) | −1187.21 | + | 2729.18i | −0.765370 | + | 1.75944i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 844.010 | + | 2387.14i | 0.532156 | + | 1.50511i | ||||
\(137\) | 1307.59 | 0.815435 | 0.407717 | − | 0.913108i | \(-0.366325\pi\) | ||||
0.407717 | + | 0.913108i | \(0.366325\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2549.37 | −1.55565 | −0.777823 | − | 0.628484i | \(-0.783676\pi\) | ||||
−0.777823 | + | 0.628484i | \(0.783676\pi\) | |||||||
\(140\) | −1249.96 | + | 121.867i | −0.754580 | + | 0.0735686i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1897.29 | − | 825.333i | −1.12124 | − | 0.487750i | ||||
\(143\) | 1924.82i | 1.12561i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −955.817 | + | 1249.58i | −0.547422 | + | 0.715669i | ||||
\(146\) | −803.846 | + | 1847.89i | −0.455663 | + | 1.04748i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1708.66 | + | 1833.52i | 0.948994 | + | 1.01834i | ||||
\(149\) | −354.753 | −0.195050 | −0.0975251 | − | 0.995233i | \(-0.531093\pi\) | ||||
−0.0975251 | + | 0.995233i | \(0.531093\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 436.218i | − | 0.235092i | −0.993067 | − | 0.117546i | \(-0.962497\pi\) | ||
0.993067 | − | 0.117546i | \(-0.0375028\pi\) | |||||||
\(152\) | −1141.69 | − | 3229.06i | −0.609230 | − | 1.72310i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −481.470 | + | 1106.81i | −0.251935 | + | 0.579151i | ||||
\(155\) | 1318.19 | + | 1008.29i | 0.683093 | + | 0.522504i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −810.917 | −0.412218 | −0.206109 | − | 0.978529i | \(-0.566080\pi\) | ||||
−0.206109 | + | 0.978529i | \(0.566080\pi\) | |||||||
\(158\) | −1335.09 | + | 3069.11i | −0.672239 | + | 1.54535i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 856.611 | + | 1833.64i | 0.423257 | + | 0.906010i | ||||
\(161\) | 682.528i | 0.334104i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 119.040i | 0.0572019i | 0.999591 | + | 0.0286010i | \(0.00910521\pi\) | ||||
−0.999591 | + | 0.0286010i | \(0.990895\pi\) | |||||||
\(164\) | 1856.80 | − | 1730.36i | 0.884096 | − | 0.823891i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1481.72 | − | 644.558i | −0.692793 | − | 0.301370i | ||||
\(167\) | 1454.55i | 0.673992i | 0.941506 | + | 0.336996i | \(0.109411\pi\) | ||||
−0.941506 | + | 0.336996i | \(0.890589\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1814.17 | 0.825751 | ||||||||
\(170\) | −3092.52 | + | 1719.71i | −1.39521 | + | 0.775857i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1082.95 | + | 1009.20i | −0.480082 | + | 0.447389i | ||||
\(173\) | − | 173.514i | − | 0.0762545i | −0.999273 | − | 0.0381273i | \(-0.987861\pi\) | ||
0.999273 | − | 0.0381273i | \(-0.0121392\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −459.432 | − | 1693.96i | −0.198456 | − | 0.731723i | ||||
\(176\) | 1940.24 | + | 136.952i | 0.830972 | + | 0.0586543i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −237.639 | + | 546.288i | −0.100066 | + | 0.230034i | ||||
\(179\) | 1292.81i | 0.539829i | 0.962884 | + | 0.269915i | \(0.0869955\pi\) | ||||
−0.962884 | + | 0.269915i | \(0.913005\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1101.84i | 0.452480i | 0.974072 | + | 0.226240i | \(0.0726434\pi\) | ||||
−0.974072 | + | 0.226240i | \(0.927357\pi\) | |||||||
\(182\) | 2306.51 | + | 1003.35i | 0.939393 | + | 0.408643i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1036.98 | − | 366.641i | 0.415474 | − | 0.146897i | ||||
\(185\) | −2128.01 | + | 2782.04i | −0.845700 | + | 1.10562i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3400.75i | 1.32988i | ||||||||
\(188\) | 34.0565 | − | 31.7374i | 0.0132118 | − | 0.0123122i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4183.22 | − | 2326.24i | 1.59728 | − | 0.888226i | ||||
\(191\) | −2525.60 | −0.956785 | −0.478392 | − | 0.878146i | \(-0.658780\pi\) | ||||
−0.478392 | + | 0.878146i | \(0.658780\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | − | 714.880i | − | 0.266623i | −0.991074 | − | 0.133311i | \(-0.957439\pi\) | ||
0.991074 | − | 0.133311i | \(-0.0425611\pi\) | |||||||
\(194\) | −898.577 | + | 2065.66i | −0.332547 | + | 0.764463i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −795.434 | − | 853.559i | −0.289881 | − | 0.311064i | ||||
\(197\) | − | 4074.92i | − | 1.47374i | −0.676036 | − | 0.736869i | \(-0.736304\pi\) | ||
0.676036 | − | 0.736869i | \(-0.263696\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 4544.61i | − | 1.61889i | −0.587197 | − | 0.809444i | \(-0.699769\pi\) | ||
0.587197 | − | 0.809444i | \(-0.300231\pi\) | |||||||
\(200\) | −2326.88 | + | 1607.99i | −0.822676 | + | 0.568510i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4502.31 | − | 1958.54i | −1.56822 | − | 0.682189i | ||||
\(203\) | 1975.80 | 0.683123 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2817.37 | + | 2155.03i | 0.959871 | + | 0.734214i | ||||
\(206\) | −816.558 | − | 355.209i | −0.276176 | − | 0.120139i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 285.397 | − | 4043.31i | 0.0951382 | − | 1.34785i | ||||
\(209\) | − | 4600.17i | − | 1.52249i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 354.896 | 0.115792 | 0.0578959 | − | 0.998323i | \(-0.481561\pi\) | ||||
0.0578959 | + | 0.998323i | \(0.481561\pi\) | |||||||
\(212\) | −64.5754 | + | 60.1780i | −0.0209201 | + | 0.0194955i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1671.27 | − | 727.016i | −0.533859 | − | 0.232233i | ||||
\(215\) | −1643.18 | − | 1256.89i | −0.521229 | − | 0.398693i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 2084.28i | − | 0.652028i | ||||||
\(218\) | 134.763 | − | 309.796i | 0.0418685 | − | 0.0962478i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 263.774 | + | 2705.49i | 0.0808348 | + | 0.829108i | ||||
\(221\) | 7086.90 | 2.15709 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1709.19 | 0.513255 | 0.256627 | − | 0.966510i | \(-0.417389\pi\) | ||||
0.256627 | + | 0.966510i | \(0.417389\pi\) | |||||||
\(224\) | 1175.49 | − | 2253.59i | 0.350629 | − | 0.672207i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1640.70 | + | 713.714i | 0.482909 | + | 0.210069i | ||||
\(227\) | 2398.30 | 0.701236 | 0.350618 | − | 0.936519i | \(-0.385972\pi\) | ||||
0.350618 | + | 0.936519i | \(0.385972\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3355.07i | 0.968161i | 0.875023 | + | 0.484081i | \(0.160846\pi\) | ||||
−0.875023 | + | 0.484081i | \(0.839154\pi\) | |||||||
\(230\) | 747.047 | + | 1343.40i | 0.214169 | + | 0.385135i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1061.36 | − | 3001.88i | −0.300352 | − | 0.849495i | ||||
\(233\) | 1851.67 | 0.520632 | 0.260316 | − | 0.965523i | \(-0.416173\pi\) | ||||
0.260316 | + | 0.965523i | \(0.416173\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 51.6748 | + | 39.5265i | 0.0143442 | + | 0.0109720i | ||||
\(236\) | 2850.67 | − | 2656.54i | 0.786282 | − | 0.732738i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4075.11 | + | 1772.70i | 1.10987 | + | 0.482803i | ||||
\(239\) | −2717.82 | −0.735570 | −0.367785 | − | 0.929911i | \(-0.619884\pi\) | ||||
−0.367785 | + | 0.929911i | \(0.619884\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4677.83 | −1.25031 | −0.625157 | − | 0.780499i | \(-0.714965\pi\) | ||||
−0.625157 | + | 0.780499i | \(0.714965\pi\) | |||||||
\(242\) | −1056.52 | − | 459.592i | −0.280642 | − | 0.122081i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3599.77 | + | 3354.64i | −0.944474 | + | 0.880158i | ||||
\(245\) | 990.655 | − | 1295.13i | 0.258329 | − | 0.337725i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9586.39 | −2.46950 | ||||||||
\(248\) | −3166.69 | + | 1119.63i | −0.810827 | + | 0.286681i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2758.38 | − | 2831.31i | −0.697821 | − | 0.716272i | ||||
\(251\) | 5063.30i | 1.27328i | 0.771162 | + | 0.636639i | \(0.219676\pi\) | ||||
−0.771162 | + | 0.636639i | \(0.780324\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1477.30 | 0.367102 | ||||||||
\(254\) | 2408.34 | + | 1047.64i | 0.594931 | + | 0.258799i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4055.39 | − | 575.367i | −0.990085 | − | 0.140471i | ||||
\(257\) | −2324.70 | −0.564245 | −0.282123 | − | 0.959378i | \(-0.591038\pi\) | ||||
−0.282123 | + | 0.959378i | \(0.591038\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4398.88 | 1.05534 | ||||||||
\(260\) | 5638.02 | − | 549.684i | 1.34483 | − | 0.131115i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 173.996 | − | 399.983i | 0.0410285 | − | 0.0943169i | ||||
\(263\) | 6005.08i | 1.40794i | 0.710229 | + | 0.703971i | \(0.248592\pi\) | ||||
−0.710229 | + | 0.703971i | \(0.751408\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −97.9819 | − | 74.9473i | −0.0227131 | − | 0.0173735i | ||||
\(266\) | −5512.36 | − | 2397.92i | −1.27062 | − | 0.552728i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6158.44 | − | 5739.06i | 1.40368 | − | 1.30809i | ||||
\(269\) | −3360.97 | −0.761791 | −0.380896 | − | 0.924618i | \(-0.624384\pi\) | ||||
−0.380896 | + | 0.924618i | \(0.624384\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3737.81i | 0.837844i | 0.908022 | + | 0.418922i | \(0.137592\pi\) | ||||
−0.908022 | + | 0.418922i | \(0.862408\pi\) | |||||||
\(272\) | 504.237 | − | 7143.67i | 0.112404 | − | 1.59246i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3391.42 | − | 1475.29i | −0.747749 | − | 0.325276i | ||||
\(275\) | −3666.50 | + | 994.418i | −0.803994 | + | 0.218057i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5971.68 | −1.29532 | −0.647659 | − | 0.761930i | \(-0.724252\pi\) | ||||
−0.647659 | + | 0.761930i | \(0.724252\pi\) | |||||||
\(278\) | 6612.18 | + | 2876.35i | 1.42652 | + | 0.620546i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3379.47 | + | 1094.20i | 0.721293 | + | 0.233539i | ||||
\(281\) | − | 5259.86i | − | 1.11664i | −0.829624 | − | 0.558322i | \(-0.811445\pi\) | ||
0.829624 | − | 0.558322i | \(-0.188555\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5246.76i | 1.10208i | 0.834480 | + | 0.551038i | \(0.185768\pi\) | ||||
−0.834480 | + | 0.551038i | \(0.814232\pi\) | |||||||
\(284\) | 3989.71 | + | 4281.26i | 0.833613 | + | 0.894527i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2171.69 | − | 4992.32i | 0.449003 | − | 1.03217i | ||||
\(287\) | − | 4454.73i | − | 0.916218i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7608.05 | 1.54856 | ||||||||
\(290\) | 3888.91 | − | 2162.57i | 0.787463 | − | 0.437899i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4169.79 | − | 3885.84i | 0.835680 | − | 0.778773i | ||||
\(293\) | − | 4962.29i | − | 0.989419i | −0.869058 | − | 0.494710i | \(-0.835274\pi\) | ||
0.869058 | − | 0.494710i | \(-0.164726\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4325.38 | + | 3308.53i | 0.853673 | + | 0.652983i | ||||
\(296\) | −2362.99 | − | 6683.32i | −0.464008 | − | 1.31237i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 920.105 | + | 400.252i | 0.178860 | + | 0.0778053i | ||||
\(299\) | − | 3078.57i | − | 0.595446i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2598.15i | 0.497525i | ||||||||
\(302\) | −492.166 | + | 1131.40i | −0.0937780 | + | 0.215578i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −682.077 | + | 9663.18i | −0.128684 | + | 1.82310i | ||||
\(305\) | −5462.02 | − | 4177.95i | −1.02542 | − | 0.784357i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 9589.90i | − | 1.78282i | −0.453201 | − | 0.891408i | \(-0.649718\pi\) | ||
0.453201 | − | 0.891408i | \(-0.350282\pi\) | |||||||
\(308\) | 2497.53 | − | 2327.46i | 0.462046 | − | 0.430582i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2281.31 | − | 4102.42i | −0.417966 | − | 0.751619i | ||||
\(311\) | −5604.82 | −1.02193 | −0.510965 | − | 0.859602i | \(-0.670712\pi\) | ||||
−0.510965 | + | 0.859602i | \(0.670712\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 353.882i | − | 0.0639060i | −0.999489 | − | 0.0319530i | \(-0.989827\pi\) | ||
0.999489 | − | 0.0319530i | \(-0.0101727\pi\) | |||||||
\(314\) | 2103.24 | + | 914.923i | 0.378002 | + | 0.164433i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6925.50 | − | 6453.89i | 1.23288 | − | 1.14892i | ||||
\(317\) | − | 5733.38i | − | 1.01583i | −0.861406 | − | 0.507916i | \(-0.830416\pi\) | ||
0.861406 | − | 0.507916i | \(-0.169584\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 4276.52i | − | 0.750593i | ||||||
\(320\) | −152.939 | − | 5722.29i | −0.0267174 | − | 0.999643i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 770.067 | − | 1770.24i | 0.133274 | − | 0.306371i | ||||
\(323\) | −16937.1 | −2.91767 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2072.29 | + | 7640.70i | 0.353692 | + | 1.30409i | ||||
\(326\) | 134.308 | − | 308.748i | 0.0228178 | − | 0.0524539i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6768.18 | + | 2393.00i | −1.13936 | + | 0.402839i | ||||
\(329\) | − | 81.7066i | − | 0.0136919i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1836.15 | 0.304907 | 0.152453 | − | 0.988311i | \(-0.451283\pi\) | ||||
0.152453 | + | 0.988311i | \(0.451283\pi\) | |||||||
\(332\) | 3115.84 | + | 3343.52i | 0.515072 | + | 0.552709i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1641.11 | − | 3772.60i | 0.268855 | − | 0.618047i | ||||
\(335\) | 9344.34 | + | 7147.58i | 1.52399 | + | 1.16571i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7168.05i | 1.15866i | 0.815093 | + | 0.579330i | \(0.196686\pi\) | ||||
−0.815093 | + | 0.579330i | \(0.803314\pi\) | |||||||
\(338\) | −4705.34 | − | 2046.86i | −0.757209 | − | 0.329391i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9961.19 | − | 971.176i | 1.58889 | − | 0.154910i | ||||
\(341\) | −4511.32 | −0.716427 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6863.97 | −1.08052 | ||||||||
\(344\) | 3947.43 | − | 1395.68i | 0.618696 | − | 0.218750i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −195.769 | + | 450.035i | −0.0304179 | + | 0.0699250i | ||||
\(347\) | 2846.06 | 0.440301 | 0.220150 | − | 0.975466i | \(-0.429345\pi\) | ||||
0.220150 | + | 0.975466i | \(0.429345\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 3078.32i | − | 0.472145i | −0.971735 | − | 0.236072i | \(-0.924140\pi\) | ||
0.971735 | − | 0.236072i | \(-0.0758602\pi\) | |||||||
\(350\) | −719.619 | + | 4911.91i | −0.109901 | + | 0.750150i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4877.79 | − | 2544.30i | −0.738600 | − | 0.385260i | ||||
\(353\) | −1195.28 | −0.180222 | −0.0901111 | − | 0.995932i | \(-0.528722\pi\) | ||||
−0.0901111 | + | 0.995932i | \(0.528722\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4968.89 | + | 6496.05i | −0.742877 | + | 0.971196i | ||||
\(356\) | 1232.71 | − | 1148.76i | 0.183520 | − | 0.171023i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1458.63 | − | 3353.11i | 0.215338 | − | 0.495021i | ||||
\(359\) | −11369.4 | −1.67146 | −0.835730 | − | 0.549140i | \(-0.814955\pi\) | ||||
−0.835730 | + | 0.549140i | \(0.814955\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16051.7 | 2.34024 | ||||||||
\(362\) | 1243.16 | − | 2857.78i | 0.180494 | − | 0.414922i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −4850.24 | − | 5204.66i | −0.698411 | − | 0.749446i | ||||
\(365\) | 6326.93 | + | 4839.53i | 0.907306 | + | 0.694007i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3778.32 | −0.537402 | −0.268701 | − | 0.963224i | \(-0.586594\pi\) | ||||
−0.268701 | + | 0.963224i | \(0.586594\pi\) | |||||||
\(368\) | −3103.23 | − | 219.042i | −0.439585 | − | 0.0310282i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8658.19 | − | 4814.71i | 1.21653 | − | 0.676500i | ||||
\(371\) | 154.926i | 0.0216802i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2667.45 | −0.370282 | −0.185141 | − | 0.982712i | \(-0.559274\pi\) | ||||
−0.185141 | + | 0.982712i | \(0.559274\pi\) | |||||||
\(374\) | 3836.92 | − | 8820.37i | 0.530488 | − | 1.21949i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −124.139 | + | 43.8912i | −0.0170265 | + | 0.00601999i | ||||
\(377\) | −8911.93 | −1.21747 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10276.0 | 1.39272 | 0.696359 | − | 0.717694i | \(-0.254802\pi\) | ||||
0.696359 | + | 0.717694i | \(0.254802\pi\) | |||||||
\(380\) | −13474.4 | + | 1313.70i | −1.81901 | + | 0.177346i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 6550.53 | + | 2849.53i | 0.877367 | + | 0.381661i | ||||
\(383\) | − | 7183.82i | − | 0.958423i | −0.877699 | − | 0.479212i | \(-0.840923\pi\) | ||
0.877699 | − | 0.479212i | \(-0.159077\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3789.57 | + | 2898.68i | 0.501648 | + | 0.383715i | ||||
\(386\) | −806.569 | + | 1854.15i | −0.106356 | + | 0.244492i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4661.20 | − | 4343.78i | 0.609887 | − | 0.568356i | ||||
\(389\) | 6021.10 | 0.784786 | 0.392393 | − | 0.919798i | \(-0.371647\pi\) | ||||
0.392393 | + | 0.919798i | \(0.371647\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 5439.19i | − | 0.703507i | ||||||
\(392\) | 1100.05 | + | 3111.29i | 0.141737 | + | 0.400877i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4597.56 | + | 10568.9i | −0.587873 | + | 1.35141i | ||||
\(395\) | 10508.2 | + | 8037.85i | 1.33855 | + | 1.02387i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2203.60 | 0.278578 | 0.139289 | − | 0.990252i | \(-0.455518\pi\) | ||||
0.139289 | + | 0.990252i | \(0.455518\pi\) | |||||||
\(398\) | −5127.49 | + | 11787.1i | −0.645773 | + | 1.48451i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7849.34 | − | 1545.25i | 0.981168 | − | 0.193156i | ||||
\(401\) | 13798.8i | 1.71841i | 0.511634 | + | 0.859203i | \(0.329040\pi\) | ||||
−0.511634 | + | 0.859203i | \(0.670960\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9401.23i | 1.16206i | ||||||||
\(404\) | 9467.69 | + | 10159.5i | 1.16593 | + | 1.25113i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5124.54 | − | 2229.21i | −0.626420 | − | 0.272497i | ||||
\(407\) | − | 9521.16i | − | 1.15957i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6090.24 | −0.736290 | −0.368145 | − | 0.929768i | \(-0.620007\pi\) | ||||
−0.368145 | + | 0.929768i | \(0.620007\pi\) | |||||||
\(410\) | −4875.84 | − | 8768.12i | −0.587319 | − | 1.05616i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1717.10 | + | 1842.58i | 0.205329 | + | 0.220333i | ||||
\(413\) | − | 6839.16i | − | 0.814850i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3880.54 | + | 5073.21i | −0.459008 | + | 0.600082i | ||||
\(416\) | −5302.11 | + | 10164.9i | −0.624898 | + | 1.19802i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5190.17 | + | 11931.2i | −0.607320 | + | 1.39611i | ||||
\(419\) | − | 14952.8i | − | 1.74341i | −0.490029 | − | 0.871706i | \(-0.663014\pi\) | ||
0.490029 | − | 0.871706i | \(-0.336986\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 101.209i | 0.0117164i | 0.999983 | + | 0.00585822i | \(0.00186474\pi\) | ||||
−0.999983 | + | 0.00585822i | \(0.998135\pi\) | |||||||
\(422\) | −920.478 | − | 400.414i | −0.106180 | − | 0.0461893i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 235.383 | − | 83.2232i | 0.0269603 | − | 0.00953225i | ||||
\(425\) | 3661.30 | + | 13499.5i | 0.417880 | + | 1.54076i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8636.38i | 0.978791i | ||||||||
\(428\) | 3514.44 | + | 3771.25i | 0.396909 | + | 0.425912i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2843.76 | + | 5113.86i | 0.318926 | + | 0.573517i | ||||
\(431\) | 5279.77 | 0.590064 | 0.295032 | − | 0.955487i | \(-0.404670\pi\) | ||||
0.295032 | + | 0.955487i | \(0.404670\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 3777.19i | − | 0.419215i | −0.977786 | − | 0.209607i | \(-0.932781\pi\) | ||
0.977786 | − | 0.209607i | \(-0.0672186\pi\) | |||||||
\(434\) | −2351.60 | + | 5405.89i | −0.260093 | + | 0.597906i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −699.059 | + | 651.455i | −0.0767864 | + | 0.0715574i | ||||
\(437\) | 7357.54i | 0.805398i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15445.6i | 1.67922i | 0.543189 | + | 0.839610i | \(0.317217\pi\) | ||||
−0.543189 | + | 0.839610i | \(0.682783\pi\) | |||||||
\(440\) | 2368.35 | − | 7314.69i | 0.256606 | − | 0.792533i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −18381.0 | − | 7995.85i | −1.97804 | − | 0.860461i | ||||
\(443\) | 8125.60 | 0.871465 | 0.435732 | − | 0.900076i | \(-0.356489\pi\) | ||||
0.435732 | + | 0.900076i | \(0.356489\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1870.41 | + | 1430.70i | 0.199250 | + | 0.152408i | ||||
\(446\) | −4433.05 | − | 1928.41i | −0.470652 | − | 0.204737i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5591.45 | + | 4518.78i | −0.589668 | + | 0.476545i | ||||
\(449\) | − | 4045.56i | − | 0.425216i | −0.977138 | − | 0.212608i | \(-0.931804\pi\) | ||
0.977138 | − | 0.212608i | \(-0.0681957\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9642.05 | −1.00671 | ||||||||
\(452\) | −3450.14 | − | 3702.25i | −0.359029 | − | 0.385264i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6220.35 | − | 2705.90i | −0.643030 | − | 0.279722i | ||||
\(455\) | 6040.62 | − | 7897.16i | 0.622392 | − | 0.813681i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 919.130i | − | 0.0940811i | −0.998893 | − | 0.0470406i | \(-0.985021\pi\) | ||
0.998893 | − | 0.0470406i | \(-0.0149790\pi\) | |||||||
\(458\) | 3785.38 | − | 8701.88i | 0.386199 | − | 0.887799i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −421.882 | − | 4327.17i | −0.0427616 | − | 0.438599i | ||||
\(461\) | −15971.7 | −1.61361 | −0.806807 | − | 0.590816i | \(-0.798806\pi\) | ||||
−0.806807 | + | 0.590816i | \(0.798806\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16002.9 | 1.60630 | 0.803149 | − | 0.595778i | \(-0.203156\pi\) | ||||
0.803149 | + | 0.595778i | \(0.203156\pi\) | |||||||
\(464\) | −634.089 | + | 8983.32i | −0.0634415 | + | 0.898793i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4802.60 | − | 2089.17i | −0.477417 | − | 0.207680i | ||||
\(467\) | −1542.18 | −0.152813 | −0.0764065 | − | 0.997077i | \(-0.524345\pi\) | ||||
−0.0764065 | + | 0.997077i | \(0.524345\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 14775.0i | − | 1.45468i | ||||||
\(470\) | −89.4303 | − | 160.821i | −0.00877684 | − | 0.0157832i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −10390.9 | + | 3673.87i | −1.01331 | + | 0.358270i | ||||
\(473\) | 5623.57 | 0.546664 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4952.60 | − | 18260.7i | −0.478402 | − | 1.76391i | ||||
\(476\) | −8569.35 | − | 9195.54i | −0.825159 | − | 0.885456i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7049.08 | + | 3066.40i | 0.674514 | + | 0.293418i | ||||
\(479\) | −8896.60 | −0.848635 | −0.424318 | − | 0.905513i | \(-0.639486\pi\) | ||||
−0.424318 | + | 0.905513i | \(0.639486\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −19841.4 | −1.88085 | ||||||||
\(482\) | 12132.7 | + | 5277.80i | 1.14653 | + | 0.498749i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2221.70 | + | 2384.04i | 0.208649 | + | 0.223896i | ||||
\(485\) | 7072.54 | + | 5409.86i | 0.662160 | + | 0.506493i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7971.71 | 0.741751 | 0.370876 | − | 0.928683i | \(-0.379058\pi\) | ||||
0.370876 | + | 0.928683i | \(0.379058\pi\) | |||||||
\(488\) | 13121.5 | − | 4639.30i | 1.21717 | − | 0.430350i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4030.65 | + | 2241.39i | −0.371605 | + | 0.206645i | ||||
\(491\) | 363.130i | 0.0333764i | 0.999861 | + | 0.0166882i | \(0.00531227\pi\) | ||||
−0.999861 | + | 0.0166882i | \(0.994688\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15745.5 | −1.43842 | ||||||||
\(494\) | 24863.8 | + | 10815.9i | 2.26452 | + | 0.985083i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 9476.54 | + | 668.903i | 0.857881 | + | 0.0605537i | ||||
\(497\) | 10271.4 | 0.927029 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1076.60 | −0.0965840 | −0.0482920 | − | 0.998833i | \(-0.515378\pi\) | ||||
−0.0482920 | + | 0.998833i | \(0.515378\pi\) | |||||||
\(500\) | 3959.83 | + | 10455.6i | 0.354178 | + | 0.935178i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 5712.71 | − | 13132.5i | 0.507910 | − | 1.16759i | ||||
\(503\) | 7166.05i | 0.635226i | 0.948220 | + | 0.317613i | \(0.102881\pi\) | ||||
−0.948220 | + | 0.317613i | \(0.897119\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11791.3 | + | 15415.3i | −1.03902 | + | 1.35836i | ||||
\(506\) | −3831.60 | − | 1666.77i | −0.336631 | − | 0.146437i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5064.38 | − | 5434.45i | −0.442314 | − | 0.474635i | ||||
\(509\) | −16936.2 | −1.47482 | −0.737409 | − | 0.675446i | \(-0.763951\pi\) | ||||
−0.737409 | + | 0.675446i | \(0.763951\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 10003.9i | − | 0.866044i | ||||||
\(512\) | 9869.11 | + | 6067.82i | 0.851869 | + | 0.523755i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6029.47 | + | 2622.86i | 0.517410 | + | 0.225077i | ||||
\(515\) | −2138.52 | + | 2795.79i | −0.182980 | + | 0.239218i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −176.850 | −0.0150442 | ||||||||
\(518\) | −11409.2 | − | 4963.07i | −0.967742 | − | 0.420975i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −15243.2 | − | 4935.45i | −1.28550 | − | 0.416218i | ||||
\(521\) | 3334.10i | 0.280364i | 0.990126 | + | 0.140182i | \(0.0447687\pi\) | ||||
−0.990126 | + | 0.140182i | \(0.955231\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3964.78i | 0.331487i | 0.986169 | + | 0.165743i | \(0.0530023\pi\) | ||||
−0.986169 | + | 0.165743i | \(0.946998\pi\) | |||||||
\(524\) | −902.568 | + | 841.106i | −0.0752459 | + | 0.0701219i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6775.27 | − | 15575.1i | 0.561627 | − | 1.29108i | ||||
\(527\) | 16610.0i | 1.37295i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9804.20 | 0.805803 | ||||||||
\(530\) | 169.571 | + | 304.936i | 0.0138975 | + | 0.0249916i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11591.7 | + | 12438.7i | 0.944668 | + | 1.01370i | ||||
\(533\) | 20093.3i | 1.63290i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4376.97 | + | 5722.21i | −0.353707 | + | 0.462416i | ||||
\(536\) | −22448.0 | + | 7936.84i | −1.80897 | + | 0.639588i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 8717.19 | + | 3792.04i | 0.698559 | + | 0.303878i | ||||
\(539\) | 4432.39i | 0.354205i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 286.199i | − | 0.0227443i | −0.999935 | − | 0.0113722i | \(-0.996380\pi\) | ||
0.999935 | − | 0.0113722i | \(-0.00361995\pi\) | |||||||
\(542\) | 4217.21 | − | 9694.58i | 0.334215 | − | 0.768299i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9367.71 | + | 17959.3i | −0.738304 | + | 1.41544i | ||||
\(545\) | −1060.70 | − | 811.339i | −0.0833676 | − | 0.0637687i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 19478.4i | − | 1.52255i | −0.648428 | − | 0.761276i | \(-0.724573\pi\) | ||
0.648428 | − | 0.761276i | \(-0.275427\pi\) | |||||||
\(548\) | 7131.66 | + | 7652.80i | 0.555930 | + | 0.596553i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10631.6 | + | 1557.58i | 0.824241 | + | 0.120755i | ||||
\(551\) | 21298.8 | 1.64675 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − | 16615.3i | − | 1.27767i | ||||||
\(554\) | 15488.5 | + | 6737.59i | 1.18780 | + | 0.516702i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −13904.4 | − | 14920.5i | −1.06058 | − | 1.13807i | ||||
\(557\) | − | 3805.21i | − | 0.289465i | −0.989471 | − | 0.144733i | \(-0.953768\pi\) | ||
0.989471 | − | 0.144733i | \(-0.0462322\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 11719.1i | − | 0.886698i | ||||||
\(560\) | −7530.63 | − | 6650.89i | −0.568263 | − | 0.501878i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5934.47 | + | 13642.2i | −0.445428 | + | 1.02396i | ||||
\(563\) | 3093.37 | 0.231563 | 0.115781 | − | 0.993275i | \(-0.463063\pi\) | ||||
0.115781 | + | 0.993275i | \(0.463063\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4296.89 | − | 5617.52i | 0.319950 | − | 0.418285i | ||||
\(566\) | 5919.70 | − | 13608.3i | 0.439618 | − | 1.01060i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5517.58 | − | 15605.5i | −0.407592 | − | 1.15280i | ||||
\(569\) | − | 24728.1i | − | 1.82189i | −0.412525 | − | 0.910946i | \(-0.635353\pi\) | ||
0.412525 | − | 0.910946i | \(-0.364647\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9393.97 | −0.688486 | −0.344243 | − | 0.938881i | \(-0.611864\pi\) | ||||
−0.344243 | + | 0.938881i | \(0.611864\pi\) | |||||||
\(572\) | −11265.2 | + | 10498.1i | −0.823467 | + | 0.767391i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5026.09 | + | 11554.0i | −0.365479 | + | 0.840167i | ||||
\(575\) | 5864.22 | − | 1590.48i | 0.425313 | − | 0.115352i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 10793.5i | − | 0.778751i | −0.921079 | − | 0.389376i | \(-0.872691\pi\) | ||
0.921079 | − | 0.389376i | \(-0.127309\pi\) | |||||||
\(578\) | −19732.6 | − | 8583.84i | −1.42002 | − | 0.617718i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −12526.4 | + | 1221.28i | −0.896777 | + | 0.0874322i | ||||
\(581\) | 8021.60 | 0.572792 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 335.329 | 0.0238215 | ||||||||
\(584\) | −15199.2 | + | 5373.92i | −1.07697 | + | 0.380778i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5598.74 | + | 12870.4i | −0.394679 | + | 0.907292i | ||||
\(587\) | −10562.7 | −0.742708 | −0.371354 | − | 0.928491i | \(-0.621106\pi\) | ||||
−0.371354 | + | 0.928491i | \(0.621106\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 22468.2i | − | 1.57179i | ||||||
\(590\) | −7485.67 | − | 13461.3i | −0.522340 | − | 0.939311i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1411.72 | + | 20000.3i | −0.0980093 | + | 1.38852i | ||||
\(593\) | 25688.7 | 1.77894 | 0.889469 | − | 0.456996i | \(-0.151075\pi\) | ||||
0.889469 | + | 0.456996i | \(0.151075\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10672.5 | − | 13952.6i | 0.735344 | − | 0.961347i | ||||
\(596\) | −1934.85 | − | 2076.23i | −0.132977 | − | 0.142694i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3473.42 | + | 7984.75i | −0.237523 | + | 0.546021i | ||||
\(599\) | 11053.0 | 0.753947 | 0.376973 | − | 0.926224i | \(-0.376965\pi\) | ||||
0.376973 | + | 0.926224i | \(0.376965\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10934.8 | −0.742164 | −0.371082 | − | 0.928600i | \(-0.621013\pi\) | ||||
−0.371082 | + | 0.928600i | \(0.621013\pi\) | |||||||
\(602\) | 2931.38 | − | 6738.70i | 0.198462 | − | 0.456228i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2553.01 | − | 2379.16i | 0.171988 | − | 0.160276i | ||||
\(605\) | −2766.96 | + | 3617.37i | −0.185939 | + | 0.243086i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9715.02 | 0.649622 | 0.324811 | − | 0.945779i | \(-0.394699\pi\) | ||||
0.324811 | + | 0.945779i | \(0.394699\pi\) | |||||||
\(608\) | 12671.6 | − | 24293.4i | 0.845234 | − | 1.62044i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9452.78 | + | 16998.7i | 0.627429 | + | 1.12829i | ||||
\(611\) | 368.541i | 0.0244019i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3849.43 | 0.253633 | 0.126817 | − | 0.991926i | \(-0.459524\pi\) | ||||
0.126817 | + | 0.991926i | \(0.459524\pi\) | |||||||
\(614\) | −10819.9 | + | 24872.9i | −0.711164 | + | 1.63483i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −9103.71 | + | 3218.76i | −0.595453 | + | 0.210532i | ||||
\(617\) | 16340.1 | 1.06617 | 0.533086 | − | 0.846061i | \(-0.321032\pi\) | ||||
0.533086 | + | 0.846061i | \(0.321032\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7719.88 | 0.501274 | 0.250637 | − | 0.968081i | \(-0.419360\pi\) | ||||
0.250637 | + | 0.968081i | \(0.419360\pi\) | |||||||
\(620\) | 1288.33 | + | 13214.2i | 0.0834524 | + | 0.855957i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 14536.9 | + | 6323.68i | 0.937104 | + | 0.407647i | ||||
\(623\) | − | 2957.44i | − | 0.190188i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −13483.8 | + | 7894.81i | −0.862963 | + | 0.505268i | ||||
\(626\) | −399.270 | + | 917.846i | −0.0254920 | + | 0.0586014i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4422.80 | − | 4745.99i | −0.281033 | − | 0.301569i | ||||
\(629\) | −35055.5 | −2.22218 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 21913.5i | 1.38251i | 0.722611 | + | 0.691254i | \(0.242942\pi\) | ||||
−0.722611 | + | 0.691254i | \(0.757058\pi\) | |||||||
\(632\) | −25244.0 | + | 8925.41i | −1.58885 | + | 0.561762i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −6468.73 | + | 14870.4i | −0.405215 | + | 0.931513i | ||||
\(635\) | 6307.31 | − | 8245.82i | 0.394170 | − | 0.515316i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9236.76 | 0.574527 | ||||||||
\(638\) | −4825.02 | + | 11091.8i | −0.299411 | + | 0.688290i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6059.55 | + | 15014.2i | −0.374257 | + | 0.927325i | ||||
\(641\) | 8731.46i | 0.538022i | 0.963137 | + | 0.269011i | \(0.0866968\pi\) | ||||
−0.963137 | + | 0.269011i | \(0.913303\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 14460.4i | 0.886878i | 0.896305 | + | 0.443439i | \(0.146242\pi\) | ||||
−0.896305 | + | 0.443439i | \(0.853758\pi\) | |||||||
\(644\) | −3994.57 | + | 3722.55i | −0.244423 | + | 0.227778i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 43929.0 | + | 19109.4i | 2.67549 | + | 1.16386i | ||||
\(647\) | − | 26965.2i | − | 1.63850i | −0.573434 | − | 0.819252i | \(-0.694389\pi\) | ||
0.573434 | − | 0.819252i | \(-0.305611\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14803.0 | −0.895331 | ||||||||
\(650\) | 3245.87 | − | 22155.4i | 0.195867 | − | 1.33693i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −696.694 | + | 649.251i | −0.0418476 | + | 0.0389979i | ||||
\(653\) | 12180.8i | 0.729972i | 0.931013 | + | 0.364986i | \(0.118926\pi\) | ||||
−0.931013 | + | 0.364986i | \(0.881074\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1369.49 | − | 1047.53i | −0.0816952 | − | 0.0624894i | ||||
\(656\) | 20254.2 | + | 1429.65i | 1.20548 | + | 0.0850890i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −92.1860 | + | 211.918i | −0.00546168 | + | 0.0125554i | ||||
\(659\) | − | 3442.68i | − | 0.203502i | −0.994810 | − | 0.101751i | \(-0.967556\pi\) | ||
0.994810 | − | 0.101751i | \(-0.0324445\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1292.22i | 0.0760387i | 0.999277 | + | 0.0380193i | \(0.0121048\pi\) | ||||
−0.999277 | + | 0.0380193i | \(0.987895\pi\) | |||||||
\(662\) | −4762.35 | − | 2071.65i | −0.279598 | − | 0.121627i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4309.05 | − | 12187.4i | −0.251842 | − | 0.712293i | ||||
\(665\) | −14436.6 | + | 18873.6i | −0.841845 | + | 1.10058i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6839.89i | 0.397064i | ||||||||
\(668\) | −8512.93 | + | 7933.23i | −0.493077 | + | 0.459500i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −16171.7 | − | 29081.2i | −0.932487 | − | 1.67687i | ||||
\(671\) | 18693.0 | 1.07546 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 27423.0i | − | 1.57070i | −0.619053 | − | 0.785350i | \(-0.712483\pi\) | ||
0.619053 | − | 0.785350i | \(-0.287517\pi\) | |||||||
\(674\) | 8087.40 | − | 18591.4i | 0.462189 | − | 1.06249i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 9894.64 | + | 10617.7i | 0.562963 | + | 0.604101i | ||||
\(677\) | 35099.8i | 1.99261i | 0.0859011 | + | 0.996304i | \(0.472623\pi\) | ||||
−0.0859011 | + | 0.996304i | \(0.527377\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 11182.9i | − | 0.632047i | ||||||
\(680\) | −26931.6 | − | 8719.89i | −1.51879 | − | 0.491754i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 11700.8 | + | 5089.93i | 0.656960 | + | 0.285782i | ||||
\(683\) | −26455.9 | −1.48215 | −0.741074 | − | 0.671423i | \(-0.765683\pi\) | ||||
−0.741074 | + | 0.671423i | \(0.765683\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8881.96 | + | 11611.8i | −0.495419 | + | 0.647683i | ||||
\(686\) | 17802.8 | + | 7744.33i | 0.990835 | + | 0.431020i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −11813.0 | − | 833.819i | −0.654600 | − | 0.0462050i | ||||
\(689\) | − | 698.800i | − | 0.0386388i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25601.3 | 1.40943 | 0.704716 | − | 0.709490i | \(-0.251074\pi\) | ||||
0.704716 | + | 0.709490i | \(0.251074\pi\) | |||||||
\(692\) | 1015.51 | − | 946.358i | 0.0557861 | − | 0.0519872i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7381.69 | − | 3211.09i | −0.403754 | − | 0.175636i | ||||
\(695\) | 17317.0 | − | 22639.2i | 0.945136 | − | 1.23562i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 35500.6i | 1.92924i | ||||||||
\(698\) | −3473.13 | + | 7984.08i | −0.188338 | + | 0.432954i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 7408.34 | − | 11927.9i | 0.400013 | − | 0.644045i | ||||
\(701\) | 8555.70 | 0.460976 | 0.230488 | − | 0.973075i | \(-0.425968\pi\) | ||||
0.230488 | + | 0.973075i | \(0.425968\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 47419.2 | 2.54403 | ||||||||
\(704\) | 9780.67 | + | 12102.4i | 0.523612 | + | 0.647908i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3100.15 | + | 1348.59i | 0.165263 | + | 0.0718905i | ||||
\(707\) | 24374.2 | 1.29658 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 20124.0i | − | 1.06597i | −0.846124 | − | 0.532986i | \(-0.821070\pi\) | ||
0.846124 | − | 0.532986i | \(-0.178930\pi\) | |||||||
\(710\) | 20216.8 | − | 11242.3i | 1.06862 | − | 0.594249i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4493.31 | + | 1588.68i | −0.236508 | + | 0.0836212i | ||||
\(713\) | 7215.43 | 0.378990 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −17093.0 | − | 13074.6i | −0.894046 | − | 0.683864i | ||||
\(716\) | −7566.34 | + | 7051.10i | −0.394927 | + | 0.368033i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 29488.3 | + | 12827.6i | 1.53272 | + | 0.666744i | ||||
\(719\) | 13891.8 | 0.720550 | 0.360275 | − | 0.932846i | \(-0.382683\pi\) | ||||
0.360275 | + | 0.932846i | \(0.382683\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4420.61 | 0.228339 | ||||||||
\(722\) | −41632.5 | − | 18110.5i | −2.14599 | − | 0.933520i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6448.63 | + | 6009.50i | −0.331024 | + | 0.308482i | ||||
\(725\) | −4604.16 | − | 16975.9i | −0.235854 | − | 0.869613i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22036.5 | 1.12419 | 0.562097 | − | 0.827072i | \(-0.309995\pi\) | ||||
0.562097 | + | 0.827072i | \(0.309995\pi\) | |||||||
\(728\) | 6707.64 | + | 18971.4i | 0.341486 | + | 0.965834i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −10949.6 | − | 19690.5i | −0.555156 | − | 0.998324i | ||||
\(731\) | − | 20705.1i | − | 1.04762i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4002.94 | −0.201708 | −0.100854 | − | 0.994901i | \(-0.532157\pi\) | ||||
−0.100854 | + | 0.994901i | \(0.532157\pi\) | |||||||
\(734\) | 9799.64 | + | 4262.91i | 0.492795 | + | 0.214369i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7801.57 | + | 4069.36i | 0.390720 | + | 0.203803i | ||||
\(737\) | −31979.7 | −1.59836 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6204.07 | 0.308823 | 0.154412 | − | 0.988007i | \(-0.450652\pi\) | ||||
0.154412 | + | 0.988007i | \(0.450652\pi\) | |||||||
\(740\) | −27888.6 | + | 2719.02i | −1.38541 | + | 0.135072i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 174.796 | − | 401.824i | 0.00864821 | − | 0.0198806i | ||||
\(743\) | 1520.13i | 0.0750583i | 0.999296 | + | 0.0375292i | \(0.0119487\pi\) | ||||
−0.999296 | + | 0.0375292i | \(0.988051\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2409.71 | − | 3150.32i | 0.118503 | − | 0.154924i | ||||
\(746\) | 6918.43 | + | 3009.57i | 0.339547 | + | 0.147705i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −19903.3 | + | 18547.9i | −0.972910 | + | 0.906657i | ||||
\(749\) | 9047.78 | 0.441387 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12993.9i | 0.631362i | 0.948865 | + | 0.315681i | \(0.102233\pi\) | ||||
−0.948865 | + | 0.315681i | \(0.897767\pi\) | |||||||
\(752\) | 371.493 | + | 26.2219i | 0.0180146 | + | 0.00127156i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 23114.5 | + | 10055.0i | 1.11642 | + | 0.485650i | ||||
\(755\) | 3873.75 | + | 2963.07i | 0.186729 | + | 0.142831i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8162.89 | 0.391922 | 0.195961 | − | 0.980612i | \(-0.437217\pi\) | ||||
0.195961 | + | 0.980612i | \(0.437217\pi\) | |||||||
\(758\) | −26652.3 | − | 11593.9i | −1.27712 | − | 0.555554i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 36430.1 | + | 11795.3i | 1.73876 | + | 0.562975i | ||||
\(761\) | − | 22163.0i | − | 1.05573i | −0.849329 | − | 0.527864i | \(-0.822993\pi\) | ||
0.849329 | − | 0.527864i | \(-0.177007\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1677.14i | 0.0795763i | ||||||||
\(764\) | −13774.8 | − | 14781.4i | −0.652297 | − | 0.699962i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −8105.20 | + | 18632.3i | −0.382314 | + | 0.878869i | ||||
\(767\) | 30848.4i | 1.45224i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 37388.7 | 1.75328 | 0.876639 | − | 0.481149i | \(-0.159780\pi\) | ||||
0.876639 | + | 0.481149i | \(0.159780\pi\) | |||||||
\(770\) | −6558.37 | − | 11793.8i | −0.306945 | − | 0.551972i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4183.92 | − | 3899.01i | 0.195055 | − | 0.181772i | ||||
\(773\) | − | 42163.6i | − | 1.96186i | −0.194351 | − | 0.980932i | \(-0.562260\pi\) | ||
0.194351 | − | 0.980932i | \(-0.437740\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17908.0 | + | 4856.95i | −0.830029 | + | 0.225118i | ||||
\(776\) | −16990.4 | + | 6007.23i | −0.785980 | + | 0.277896i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −15616.6 | − | 6793.35i | −0.719645 | − | 0.313051i | ||||
\(779\) | − | 48021.3i | − | 2.20866i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 22231.9i | − | 1.01859i | ||||||
\(782\) | −6136.80 | + | 14107.4i | −0.280629 | + | 0.645113i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 657.201 | − | 9310.75i | 0.0299381 | − | 0.424141i | ||||
\(785\) | 5508.27 | − | 7201.20i | 0.250444 | − | 0.327416i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 28907.6i | − | 1.30933i | −0.755917 | − | 0.654667i | \(-0.772809\pi\) | ||
0.755917 | − | 0.654667i | \(-0.227191\pi\) | |||||||
\(788\) | 23849.0 | − | 22224.9i | 1.07815 | − | 1.00473i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −18185.9 | − | 32703.4i | −0.819021 | − | 1.47283i | ||||
\(791\) | −8882.25 | −0.399262 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 38954.8i | − | 1.74442i | ||||||
\(794\) | −5715.38 | − | 2486.23i | −0.255455 | − | 0.111125i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 26597.8 | − | 24786.6i | 1.18434 | − | 1.10369i | ||||
\(797\) | 37052.8i | 1.64677i | 0.567483 | + | 0.823385i | \(0.307917\pi\) | ||||
−0.567483 | + | 0.823385i | \(0.692083\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 651.134i | 0.0288304i | ||||||||
\(800\) | −22101.9 | − | 4848.24i | −0.976776 | − | 0.214264i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 15568.6 | − | 35789.4i | 0.685471 | − | 1.57577i | ||||
\(803\) | −21653.0 | −0.951581 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −6061.06 | − | 4636.16i | −0.265372 | − | 0.202985i | ||||
\(806\) | 10607.0 | − | 24383.5i | 0.463543 | − | 1.06560i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −13093.3 | − | 37032.3i | −0.570077 | − | 1.61236i | ||||
\(809\) | 8571.51i | 0.372507i | 0.982502 | + | 0.186254i | \(0.0596346\pi\) | ||||
−0.982502 | + | 0.186254i | \(0.940365\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3327.82 | −0.144088 | −0.0720441 | − | 0.997401i | \(-0.522952\pi\) | ||||
−0.0720441 | + | 0.997401i | \(0.522952\pi\) | |||||||
\(812\) | 10776.1 | + | 11563.6i | 0.465725 | + | 0.499757i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −10742.3 | + | 24694.6i | −0.462553 | + | 1.06332i | ||||
\(815\) | −1057.11 | − | 808.594i | −0.0454343 | − | 0.0347532i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 28007.7i | 1.19934i | ||||||||
\(818\) | 15796.0 | + | 6871.35i | 0.675174 | + | 0.293706i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2753.55 | + | 28242.7i | 0.117266 | + | 1.20278i | ||||
\(821\) | 17328.1 | 0.736607 | 0.368304 | − | 0.929706i | \(-0.379939\pi\) | ||||
0.368304 | + | 0.929706i | \(0.379939\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −30676.2 | −1.29928 | −0.649638 | − | 0.760244i | \(-0.725080\pi\) | ||||
−0.649638 | + | 0.760244i | \(0.725080\pi\) | |||||||
\(824\) | −2374.67 | − | 6716.34i | −0.100395 | − | 0.283950i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7716.34 | + | 17738.4i | −0.325043 | + | 0.747214i | ||||
\(827\) | −9379.82 | −0.394399 | −0.197200 | − | 0.980363i | \(-0.563185\pi\) | ||||
−0.197200 | + | 0.980363i | \(0.563185\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16891.6i | 0.707682i | 0.935305 | + | 0.353841i | \(0.115125\pi\) | ||||
−0.935305 | + | 0.353841i | \(0.884875\pi\) | |||||||
\(830\) | 15788.7 | − | 8779.88i | 0.660280 | − | 0.367174i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 25220.5 | − | 20382.2i | 1.05092 | − | 0.849308i | ||||
\(833\) | 16319.4 | 0.678792 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −12916.9 | − | 9880.25i | −0.535338 | − | 0.409485i | ||||
\(836\) | 26923.0 | − | 25089.6i | 1.11382 | − | 1.03797i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −16870.6 | + | 38782.3i | −0.695446 | + | 1.59870i | ||||
\(839\) | −30994.7 | −1.27539 | −0.637697 | − | 0.770287i | \(-0.720113\pi\) | ||||
−0.637697 | + | 0.770287i | \(0.720113\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4588.69 | −0.188146 | ||||||||
\(842\) | 114.190 | − | 262.501i | 0.00467368 | − | 0.0107439i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1935.63 | + | 2077.07i | 0.0789421 | + | 0.0847106i | ||||
\(845\) | −12323.0 | + | 16110.5i | −0.501687 | + | 0.655877i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5719.67 | 0.232031 | ||||||||
\(848\) | −704.398 | − | 49.7200i | −0.0285249 | − | 0.00201344i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 5734.77 | − | 39143.9i | 0.231413 | − | 1.57956i | ||||
\(851\) | 15228.2i | 0.613415i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −47292.8 | −1.89833 | −0.949164 | − | 0.314781i | \(-0.898069\pi\) | ||||
−0.949164 | + | 0.314781i | \(0.898069\pi\) | |||||||
\(854\) | 9744.06 | − | 22399.8i | 0.390439 | − | 0.897546i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4860.29 | − | 13746.5i | −0.194067 | − | 0.548886i | ||||
\(857\) | −21758.8 | −0.867289 | −0.433645 | − | 0.901084i | \(-0.642773\pi\) | ||||
−0.433645 | + | 0.901084i | \(0.642773\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5929.89 | 0.235536 | 0.117768 | − | 0.993041i | \(-0.462426\pi\) | ||||
0.117768 | + | 0.993041i | \(0.462426\pi\) | |||||||
\(860\) | −1605.96 | − | 16472.1i | −0.0636777 | − | 0.653132i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −13693.9 | − | 5956.94i | −0.541086 | − | 0.235376i | ||||
\(863\) | − | 29287.0i | − | 1.15520i | −0.816318 | − | 0.577602i | \(-0.803989\pi\) | ||
0.816318 | − | 0.577602i | \(-0.196011\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1540.86 | + | 1178.62i | 0.0605674 | + | 0.0463286i | ||||
\(866\) | −4261.64 | + | 9796.72i | −0.167225 | + | 0.384418i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 12198.5 | − | 11367.8i | 0.477009 | − | 0.444526i | ||||
\(869\) | −35963.0 | −1.40387 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 66643.2i | 2.59256i | ||||||||
\(872\) | 2548.13 | − | 900.930i | 0.0989569 | − | 0.0349878i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 8301.20 | − | 19082.9i | 0.321273 | − | 0.738546i | ||||
\(875\) | 18163.7 | + | 7426.58i | 0.701765 | + | 0.286930i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 44840.5 | 1.72652 | 0.863259 | − | 0.504761i | \(-0.168419\pi\) | ||||
0.863259 | + | 0.504761i | \(0.168419\pi\) | |||||||
\(878\) | 17426.6 | − | 40060.5i | 0.669840 | − | 1.53984i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −14395.5 | + | 16299.7i | −0.551447 | + | 0.624389i | ||||
\(881\) | 16919.3i | 0.647019i | 0.946225 | + | 0.323510i | \(0.104863\pi\) | ||||
−0.946225 | + | 0.323510i | \(0.895137\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 29836.2i | 1.13711i | 0.822646 | + | 0.568554i | \(0.192497\pi\) | ||||
−0.822646 | + | 0.568554i | \(0.807503\pi\) | |||||||
\(884\) | 38652.4 | + | 41476.9i | 1.47061 | + | 1.57808i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −21075.0 | − | 9167.77i | −0.799129 | − | 0.347627i | ||||
\(887\) | − | 9728.82i | − | 0.368277i | −0.982900 | − | 0.184139i | \(-0.941050\pi\) | ||
0.982900 | − | 0.184139i | \(-0.0589495\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13038.0 | −0.491881 | ||||||||
\(890\) | −3237.01 | − | 5821.04i | −0.121916 | − | 0.219238i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 9322.04 | + | 10003.2i | 0.349916 | + | 0.375485i | ||||
\(893\) | − | 880.784i | − | 0.0330059i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −11480.6 | − | 8781.62i | −0.428776 | − | 0.327975i | ||||
\(896\) | 19600.6 | − | 5411.54i | 0.730816 | − | 0.201771i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4564.44 | + | 10492.8i | −0.169618 | + | 0.389921i | ||||
\(899\) | − | 20887.4i | − | 0.774900i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 1234.63i | − | 0.0456510i | ||||||
\(902\) | 25008.1 | + | 10878.7i | 0.923149 | + | 0.401576i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4771.37 | + | 13495.0i | 0.175546 | + | 0.496501i | ||||
\(905\) | −9784.66 | − | 7484.38i | −0.359396 | − | 0.274905i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 13644.2i | − | 0.499502i | −0.968310 | − | 0.249751i | \(-0.919651\pi\) | ||
0.968310 | − | 0.249751i | \(-0.0803488\pi\) | |||||||
\(908\) | 13080.5 | + | 14036.3i | 0.478074 | + | 0.513008i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −24577.3 | + | 13667.1i | −0.895307 | + | 0.497869i | ||||
\(911\) | 38984.1 | 1.41778 | 0.708891 | − | 0.705318i | \(-0.249196\pi\) | ||||
0.708891 | + | 0.705318i | \(0.249196\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 17362.3i | − | 0.629365i | ||||||
\(914\) | −1037.01 | + | 2383.90i | −0.0375289 | + | 0.0862719i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −19635.9 | + | 18298.8i | −0.708285 | + | 0.660053i | ||||
\(917\) | 2165.39i | 0.0779799i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 28789.0i | − | 1.03337i | −0.856177 | − | 0.516683i | \(-0.827167\pi\) | ||
0.856177 | − | 0.516683i | \(-0.172833\pi\) | |||||||
\(920\) | −3787.95 | + | 11699.2i | −0.135744 | + | 0.419250i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 41425.0 | + | 18020.2i | 1.47967 | + | 0.643669i | ||||
\(923\) | −46329.4 | −1.65217 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10250.6 | − | 37794.8i | −0.364366 | − | 1.34345i | ||||
\(926\) | −41505.9 | − | 18055.3i | −1.47297 | − | 0.640751i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 11780.1 | − | 22584.2i | 0.416703 | − | 0.798882i | ||||
\(929\) | 25965.9i | 0.917020i | 0.888689 | + | 0.458510i | \(0.151617\pi\) | ||||
−0.888689 | + | 0.458510i | \(0.848383\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −22075.1 | −0.777103 | ||||||||
\(932\) | 10099.2 | + | 10837.1i | 0.354945 | + | 0.380882i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 3999.89 | + | 1739.98i | 0.140129 | + | 0.0609570i | ||||
\(935\) | −30199.8 | − | 23100.1i | −1.05630 | − | 0.807972i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6807.93i | 0.237359i | 0.992933 | + | 0.118680i | \(0.0378661\pi\) | ||||
−0.992933 | + | 0.118680i | \(0.962134\pi\) | |||||||
\(938\) | −16670.0 | + | 38321.2i | −0.580271 | + | 1.33394i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 50.5042 | + | 518.013i | 0.00175241 | + | 0.0179742i | ||||
\(941\) | 24816.3 | 0.859711 | 0.429856 | − | 0.902898i | \(-0.358564\pi\) | ||||
0.429856 | + | 0.902898i | \(0.358564\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 15421.6 | 0.532551 | ||||||||
\(944\) | 31095.5 | + | 2194.88i | 1.07211 | + | 0.0756750i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −14585.6 | − | 6344.84i | −0.501288 | − | 0.218064i | ||||
\(947\) | 28529.3 | 0.978964 | 0.489482 | − | 0.872013i | \(-0.337186\pi\) | ||||
0.489482 | + | 0.872013i | \(0.337186\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 45123.2i | 1.54348i | ||||||||
\(950\) | −7757.38 | + | 52949.6i | −0.264929 | + | 1.80833i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 11851.0 | + | 33518.5i | 0.403459 | + | 1.14111i | ||||
\(953\) | 26691.5 | 0.907264 | 0.453632 | − | 0.891189i | \(-0.350128\pi\) | ||||
0.453632 | + | 0.891189i | \(0.350128\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 17155.5 | − | 22428.1i | 0.581297 | − | 0.759955i | ||||
\(956\) | −14823.2 | − | 15906.4i | −0.501481 | − | 0.538126i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 23074.7 | + | 10037.7i | 0.778194 | + | 0.338520i | ||||
\(959\) | 18360.2 | 0.618228 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7756.77 | 0.260373 | ||||||||
\(962\) | 51461.6 | + | 22386.2i | 1.72473 | + | 0.750269i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −25513.2 | − | 27377.6i | −0.852413 | − | 0.914701i | ||||
\(965\) | 6348.36 | + | 4855.92i | 0.211773 | + | 0.161987i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −38780.1 | −1.28964 | −0.644821 | − | 0.764334i | \(-0.723068\pi\) | ||||
−0.644821 | + | 0.764334i | \(0.723068\pi\) | |||||||
\(968\) | −3072.50 | − | 8690.03i | −0.102018 | − | 0.288541i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −12240.0 | − | 22010.9i | −0.405158 | − | 0.728586i | ||||
\(971\) | 35691.4i | 1.17960i | 0.807549 | + | 0.589801i | \(0.200794\pi\) | ||||
−0.807549 | + | 0.589801i | \(0.799206\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −35796.4 | −1.17943 | ||||||||
\(974\) | −20675.9 | − | 8994.14i | −0.680182 | − | 0.295884i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −39266.8 | − | 2771.66i | −1.28781 | − | 0.0909001i | ||||
\(977\) | 5592.27 | 0.183125 | 0.0915623 | − | 0.995799i | \(-0.470814\pi\) | ||||
0.0915623 | + | 0.995799i | \(0.470814\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6401.24 | −0.208973 | ||||||||
\(980\) | 12983.0 | − | 1265.79i | 0.423190 | − | 0.0412593i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 409.704 | − | 941.834i | 0.0133138 | − | 0.0306060i | ||||
\(983\) | 40885.1i | 1.32658i | 0.748361 | + | 0.663292i | \(0.230841\pi\) | ||||
−0.748361 | + | 0.663292i | \(0.769159\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 36186.6 | + | 27679.5i | 1.17056 | + | 0.895372i | ||||
\(986\) | 40838.4 | + | 17765.0i | 1.31902 | + | 0.573785i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −52284.8 | − | 56105.4i | −1.68361 | − | 1.80663i | ||||
\(989\) | −8994.38 | −0.289186 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 42428.6i | − | 1.36003i | −0.733198 | − | 0.680015i | \(-0.761973\pi\) | ||
0.733198 | − | 0.680015i | \(-0.238027\pi\) | |||||||
\(992\) | −23824.2 | − | 12426.9i | −0.762518 | − | 0.397736i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −26640.3 | − | 11588.7i | −0.850081 | − | 0.369791i | ||||
\(995\) | 40357.6 | + | 30869.9i | 1.28585 | + | 0.983559i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8673.44 | −0.275517 | −0.137759 | − | 0.990466i | \(-0.543990\pi\) | ||||
−0.137759 | + | 0.990466i | \(0.543990\pi\) | |||||||
\(998\) | 2792.34 | + | 1214.69i | 0.0885670 | + | 0.0385273i | ||||
\(999\) | 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.179.9 | ✓ | 64 | |
3.2 | odd | 2 | inner | 360.4.m.c.179.56 | yes | 64 | |
4.3 | odd | 2 | 1440.4.m.c.719.19 | 64 | |||
5.4 | even | 2 | inner | 360.4.m.c.179.55 | yes | 64 | |
8.3 | odd | 2 | inner | 360.4.m.c.179.12 | yes | 64 | |
8.5 | even | 2 | 1440.4.m.c.719.46 | 64 | |||
12.11 | even | 2 | 1440.4.m.c.719.45 | 64 | |||
15.14 | odd | 2 | inner | 360.4.m.c.179.10 | yes | 64 | |
20.19 | odd | 2 | 1440.4.m.c.719.18 | 64 | |||
24.5 | odd | 2 | 1440.4.m.c.719.20 | 64 | |||
24.11 | even | 2 | inner | 360.4.m.c.179.53 | yes | 64 | |
40.19 | odd | 2 | inner | 360.4.m.c.179.54 | yes | 64 | |
40.29 | even | 2 | 1440.4.m.c.719.47 | 64 | |||
60.59 | even | 2 | 1440.4.m.c.719.48 | 64 | |||
120.29 | odd | 2 | 1440.4.m.c.719.17 | 64 | |||
120.59 | even | 2 | inner | 360.4.m.c.179.11 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.4.m.c.179.9 | ✓ | 64 | 1.1 | even | 1 | trivial | |
360.4.m.c.179.10 | yes | 64 | 15.14 | odd | 2 | inner | |
360.4.m.c.179.11 | yes | 64 | 120.59 | even | 2 | inner | |
360.4.m.c.179.12 | yes | 64 | 8.3 | odd | 2 | inner | |
360.4.m.c.179.53 | yes | 64 | 24.11 | even | 2 | inner | |
360.4.m.c.179.54 | yes | 64 | 40.19 | odd | 2 | inner | |
360.4.m.c.179.55 | yes | 64 | 5.4 | even | 2 | inner | |
360.4.m.c.179.56 | yes | 64 | 3.2 | odd | 2 | inner | |
1440.4.m.c.719.17 | 64 | 120.29 | odd | 2 | |||
1440.4.m.c.719.18 | 64 | 20.19 | odd | 2 | |||
1440.4.m.c.719.19 | 64 | 4.3 | odd | 2 | |||
1440.4.m.c.719.20 | 64 | 24.5 | odd | 2 | |||
1440.4.m.c.719.45 | 64 | 12.11 | even | 2 | |||
1440.4.m.c.719.46 | 64 | 8.5 | even | 2 | |||
1440.4.m.c.719.47 | 64 | 40.29 | even | 2 | |||
1440.4.m.c.719.48 | 64 | 60.59 | even | 2 |