Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 83.105 | ||
Character | \(\chi\) | \(=\) | 300.83 |
Dual form | 300.3.u.a.47.105 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.88892 | − | 0.657254i | 0.944460 | − | 0.328627i | ||||
\(3\) | 2.87861 | + | 0.844746i | 0.959537 | + | 0.281582i | ||||
\(4\) | 3.13603 | − | 2.48300i | 0.784008 | − | 0.620750i | ||||
\(5\) | −2.66390 | − | 4.23127i | −0.532779 | − | 0.846254i | ||||
\(6\) | 5.99268 | − | 0.296323i | 0.998780 | − | 0.0493871i | ||||
\(7\) | −6.36797 | − | 6.36797i | −0.909711 | − | 0.909711i | 0.0865380 | − | 0.996249i | \(-0.472420\pi\) |
−0.996249 | + | 0.0865380i | \(0.972420\pi\) | |||||||
\(8\) | 4.29175 | − | 6.75136i | 0.536469 | − | 0.843920i | ||||
\(9\) | 7.57281 | + | 4.86339i | 0.841423 | + | 0.540377i | ||||
\(10\) | −7.81291 | − | 6.24167i | −0.781291 | − | 0.624167i | ||||
\(11\) | −1.78909 | − | 5.50626i | −0.162645 | − | 0.500569i | 0.836210 | − | 0.548409i | \(-0.184766\pi\) |
−0.998855 | + | 0.0478399i | \(0.984766\pi\) | |||||||
\(12\) | 11.1249 | − | 4.49844i | 0.927077 | − | 0.374870i | ||||
\(13\) | 4.26245 | − | 2.17183i | 0.327881 | − | 0.167064i | −0.282299 | − | 0.959326i | \(-0.591097\pi\) |
0.610180 | + | 0.792263i | \(0.291097\pi\) | |||||||
\(14\) | −16.2140 | − | 7.84321i | −1.15814 | − | 0.560229i | ||||
\(15\) | −4.09397 | − | 14.4305i | −0.272931 | − | 0.962033i | ||||
\(16\) | 3.66941 | − | 15.5735i | 0.229338 | − | 0.973347i | ||||
\(17\) | 2.00004 | + | 12.6277i | 0.117649 | + | 0.742809i | 0.974023 | + | 0.226451i | \(0.0727124\pi\) |
−0.856373 | + | 0.516357i | \(0.827288\pi\) | |||||||
\(18\) | 17.5009 | + | 4.20929i | 0.972273 | + | 0.233850i | ||||
\(19\) | 18.1431 | + | 13.1818i | 0.954902 | + | 0.693777i | 0.951961 | − | 0.306219i | \(-0.0990640\pi\) |
0.00294068 | + | 0.999996i | \(0.499064\pi\) | |||||||
\(20\) | −18.8603 | − | 6.65495i | −0.943016 | − | 0.332748i | ||||
\(21\) | −12.9516 | − | 23.7102i | −0.616743 | − | 1.12906i | ||||
\(22\) | −6.99846 | − | 9.22499i | −0.318112 | − | 0.419318i | ||||
\(23\) | −6.61250 | + | 12.9778i | −0.287500 | + | 0.564250i | −0.988911 | − | 0.148506i | \(-0.952554\pi\) |
0.701412 | + | 0.712757i | \(0.252554\pi\) | |||||||
\(24\) | 18.0575 | − | 15.8091i | 0.752395 | − | 0.658713i | ||||
\(25\) | −10.8073 | + | 22.5433i | −0.432293 | + | 0.901733i | ||||
\(26\) | 6.62399 | − | 6.90393i | 0.254769 | − | 0.265536i | ||||
\(27\) | 17.6908 | + | 20.3969i | 0.655216 | + | 0.755441i | ||||
\(28\) | −35.7819 | − | 4.15849i | −1.27792 | − | 0.148518i | ||||
\(29\) | 37.6277 | − | 27.3381i | 1.29751 | − | 0.942693i | 0.297578 | − | 0.954698i | \(-0.403821\pi\) |
0.999928 | + | 0.0120043i | \(0.00382117\pi\) | |||||||
\(30\) | −17.2177 | − | 24.5673i | −0.573923 | − | 0.818909i | ||||
\(31\) | −19.3368 | + | 26.6148i | −0.623766 | + | 0.858541i | −0.997620 | − | 0.0689467i | \(-0.978036\pi\) |
0.373854 | + | 0.927488i | \(0.378036\pi\) | |||||||
\(32\) | −3.30456 | − | 31.8289i | −0.103268 | − | 0.994654i | ||||
\(33\) | −0.498710 | − | 17.3617i | −0.0151124 | − | 0.526112i | ||||
\(34\) | 12.0776 | + | 22.5383i | 0.355222 | + | 0.662890i | ||||
\(35\) | −9.98100 | + | 43.9082i | −0.285172 | + | 1.25452i | ||||
\(36\) | 35.8244 | − | 3.55153i | 0.995122 | − | 0.0986537i | ||||
\(37\) | 29.8119 | + | 58.5092i | 0.805727 | + | 1.58133i | 0.813647 | + | 0.581360i | \(0.197479\pi\) |
−0.00791946 | + | 0.999969i | \(0.502521\pi\) | |||||||
\(38\) | 42.9347 | + | 12.9746i | 1.12986 | + | 0.341438i | ||||
\(39\) | 14.1046 | − | 2.65116i | 0.361656 | − | 0.0679785i | ||||
\(40\) | −39.9996 | − | 0.174640i | −0.999990 | − | 0.00436600i | ||||
\(41\) | 22.2304 | + | 7.22308i | 0.542204 | + | 0.176173i | 0.567298 | − | 0.823512i | \(-0.307989\pi\) |
−0.0250945 | + | 0.999685i | \(0.507989\pi\) | |||||||
\(42\) | −40.0482 | − | 36.2742i | −0.953528 | − | 0.863672i | ||||
\(43\) | −43.9590 | + | 43.9590i | −1.02230 | + | 1.02230i | −0.0225578 | + | 0.999746i | \(0.507181\pi\) |
−0.999746 | + | 0.0225578i | \(0.992819\pi\) | |||||||
\(44\) | −19.2827 | − | 12.8255i | −0.438243 | − | 0.291489i | ||||
\(45\) | 0.405154 | − | 44.9982i | 0.00900343 | − | 0.999959i | ||||
\(46\) | −3.96079 | + | 28.8600i | −0.0861041 | + | 0.627392i | ||||
\(47\) | 11.1120 | − | 70.1582i | 0.236425 | − | 1.49273i | −0.528680 | − | 0.848821i | \(-0.677313\pi\) |
0.765105 | − | 0.643906i | \(-0.222687\pi\) | |||||||
\(48\) | 23.7185 | − | 41.7305i | 0.494135 | − | 0.869385i | ||||
\(49\) | 32.1022i | 0.655146i | ||||||||
\(50\) | −5.59744 | + | 49.6857i | −0.111949 | + | 0.993714i | ||||
\(51\) | −4.90990 | + | 38.0399i | −0.0962726 | + | 0.745880i | ||||
\(52\) | 7.97454 | − | 17.3946i | 0.153357 | − | 0.334512i | ||||
\(53\) | 3.01831 | − | 19.0569i | 0.0569493 | − | 0.359564i | −0.942714 | − | 0.333603i | \(-0.891736\pi\) |
0.999663 | − | 0.0259608i | \(-0.00826450\pi\) | |||||||
\(54\) | 46.8225 | + | 26.9007i | 0.867084 | + | 0.498162i | ||||
\(55\) | −18.5325 | + | 22.2382i | −0.336955 | + | 0.404332i | ||||
\(56\) | −70.3222 | + | 15.6627i | −1.25575 | + | 0.279692i | ||||
\(57\) | 41.0918 | + | 53.2715i | 0.720909 | + | 0.934588i | ||||
\(58\) | 53.1076 | − | 76.3704i | 0.915647 | − | 1.31673i | ||||
\(59\) | −23.0626 | − | 7.49350i | −0.390892 | − | 0.127008i | 0.106975 | − | 0.994262i | \(-0.465883\pi\) |
−0.497867 | + | 0.867253i | \(0.665883\pi\) | |||||||
\(60\) | −48.6698 | − | 35.0892i | −0.811163 | − | 0.584820i | ||||
\(61\) | −20.7612 | − | 63.8963i | −0.340347 | − | 1.04748i | −0.964028 | − | 0.265801i | \(-0.914364\pi\) |
0.623681 | − | 0.781679i | \(-0.285636\pi\) | |||||||
\(62\) | −19.0329 | + | 62.9823i | −0.306982 | + | 1.01584i | ||||
\(63\) | −17.2535 | − | 79.1934i | −0.273865 | − | 1.25704i | ||||
\(64\) | −27.1617 | − | 57.9503i | −0.424402 | − | 0.905474i | ||||
\(65\) | −20.5443 | − | 12.2501i | −0.316067 | − | 0.188463i | ||||
\(66\) | −12.3531 | − | 32.4671i | −0.187168 | − | 0.491926i | ||||
\(67\) | 0.781281 | + | 4.93282i | 0.0116609 | + | 0.0736241i | 0.992833 | − | 0.119514i | \(-0.0381335\pi\) |
−0.981172 | + | 0.193138i | \(0.938134\pi\) | |||||||
\(68\) | 37.6269 | + | 34.6349i | 0.553337 | + | 0.509337i | ||||
\(69\) | −29.9977 | + | 31.7721i | −0.434750 | + | 0.460464i | ||||
\(70\) | 10.0056 | + | 89.4992i | 0.142937 | + | 1.27856i | ||||
\(71\) | −36.7187 | + | 26.6777i | −0.517165 | + | 0.375742i | −0.815535 | − | 0.578708i | \(-0.803557\pi\) |
0.298370 | + | 0.954450i | \(0.403557\pi\) | |||||||
\(72\) | 65.3351 | − | 30.2543i | 0.907432 | − | 0.420199i | ||||
\(73\) | 25.1760 | − | 49.4107i | 0.344877 | − | 0.676858i | −0.651794 | − | 0.758396i | \(-0.725983\pi\) |
0.996670 | + | 0.0815379i | \(0.0259832\pi\) | |||||||
\(74\) | 94.7677 | + | 90.9251i | 1.28064 | + | 1.22872i | ||||
\(75\) | −50.1535 | + | 55.7641i | −0.668713 | + | 0.743521i | ||||
\(76\) | 89.6278 | − | 3.71099i | 1.17931 | − | 0.0488288i | ||||
\(77\) | −23.6708 | + | 46.4566i | −0.307413 | + | 0.603333i | ||||
\(78\) | 24.9000 | − | 14.2781i | 0.319230 | − | 0.183053i | ||||
\(79\) | −76.7317 | + | 55.7488i | −0.971287 | + | 0.705682i | −0.955745 | − | 0.294198i | \(-0.904948\pi\) |
−0.0155428 | + | 0.999879i | \(0.504948\pi\) | |||||||
\(80\) | −75.6708 | + | 25.9600i | −0.945886 | + | 0.324501i | ||||
\(81\) | 33.6948 | + | 73.6591i | 0.415986 | + | 0.909371i | ||||
\(82\) | 46.7388 | − | 0.967181i | 0.569985 | − | 0.0117949i | ||||
\(83\) | −15.8935 | − | 100.347i | −0.191487 | − | 1.20900i | −0.876836 | − | 0.480789i | \(-0.840350\pi\) |
0.685349 | − | 0.728215i | \(-0.259650\pi\) | |||||||
\(84\) | −99.4892 | − | 42.1973i | −1.18440 | − | 0.502348i | ||||
\(85\) | 48.1035 | − | 42.1017i | 0.565924 | − | 0.495314i | ||||
\(86\) | −54.1428 | + | 111.927i | −0.629568 | + | 1.30148i | ||||
\(87\) | 131.409 | − | 46.9100i | 1.51045 | − | 0.539195i | ||||
\(88\) | −44.8531 | − | 11.5527i | −0.509694 | − | 0.131281i | ||||
\(89\) | −21.0251 | − | 64.7085i | −0.236237 | − | 0.727061i | −0.996955 | − | 0.0779793i | \(-0.975153\pi\) |
0.760718 | − | 0.649082i | \(-0.224847\pi\) | |||||||
\(90\) | −28.8099 | − | 85.2642i | −0.320110 | − | 0.947380i | ||||
\(91\) | −40.9733 | − | 13.3130i | −0.450257 | − | 0.146297i | ||||
\(92\) | 11.4868 | + | 57.1175i | 0.124856 | + | 0.620843i | ||||
\(93\) | −78.1457 | + | 60.2789i | −0.840277 | + | 0.648160i | ||||
\(94\) | −25.1222 | − | 139.827i | −0.267257 | − | 1.48752i | ||||
\(95\) | 7.44417 | − | 111.883i | 0.0783597 | − | 1.17772i | ||||
\(96\) | 17.3748 | − | 94.4146i | 0.180988 | − | 0.983485i | ||||
\(97\) | −24.1390 | + | 152.407i | −0.248855 | + | 1.57121i | 0.474198 | + | 0.880418i | \(0.342738\pi\) |
−0.723054 | + | 0.690792i | \(0.757262\pi\) | |||||||
\(98\) | 21.0993 | + | 60.6384i | 0.215299 | + | 0.618759i | ||||
\(99\) | 13.2306 | − | 50.3989i | 0.133643 | − | 0.509080i | ||||
\(100\) | 22.0830 | + | 97.5312i | 0.220830 | + | 0.975312i | ||||
\(101\) | 44.4741i | 0.440337i | 0.975462 | + | 0.220169i | \(0.0706608\pi\) | ||||
−0.975462 | + | 0.220169i | \(0.929339\pi\) | |||||||
\(102\) | 15.7275 | + | 75.0814i | 0.154191 | + | 0.736092i | ||||
\(103\) | −0.0323135 | + | 0.204020i | −0.000313723 | + | 0.00198077i | −0.987845 | − | 0.155444i | \(-0.950319\pi\) |
0.987531 | + | 0.157425i | \(0.0503192\pi\) | |||||||
\(104\) | 3.63059 | − | 38.0983i | 0.0349095 | − | 0.366330i | ||||
\(105\) | −65.8228 | + | 117.963i | −0.626883 | + | 1.12346i | ||||
\(106\) | −6.82387 | − | 37.9807i | −0.0643761 | − | 0.358309i | ||||
\(107\) | −81.2124 | + | 81.2124i | −0.758994 | + | 0.758994i | −0.976139 | − | 0.217145i | \(-0.930326\pi\) |
0.217145 | + | 0.976139i | \(0.430326\pi\) | |||||||
\(108\) | 106.125 | + | 20.0390i | 0.982635 | + | 0.185547i | ||||
\(109\) | 139.191 | + | 45.2257i | 1.27698 | + | 0.414915i | 0.867515 | − | 0.497412i | \(-0.165716\pi\) |
0.409463 | + | 0.912327i | \(0.365716\pi\) | |||||||
\(110\) | −20.3903 | + | 54.1868i | −0.185366 | + | 0.492607i | ||||
\(111\) | 36.3915 | + | 193.609i | 0.327851 | + | 1.74422i | ||||
\(112\) | −122.539 | + | 75.8052i | −1.09410 | + | 0.676832i | ||||
\(113\) | 32.0873 | + | 62.9748i | 0.283958 | + | 0.557299i | 0.988293 | − | 0.152569i | \(-0.0487545\pi\) |
−0.704335 | + | 0.709868i | \(0.748755\pi\) | |||||||
\(114\) | 112.632 | + | 73.6178i | 0.988000 | + | 0.645770i | ||||
\(115\) | 72.5274 | − | 6.59213i | 0.630673 | − | 0.0573229i | ||||
\(116\) | 50.1211 | − | 179.163i | 0.432078 | − | 1.54451i | ||||
\(117\) | 42.8412 | + | 4.28314i | 0.366164 | + | 0.0366080i | ||||
\(118\) | −48.4886 | + | 1.00339i | −0.410920 | + | 0.00850331i | ||||
\(119\) | 67.6770 | − | 93.1493i | 0.568714 | − | 0.782768i | ||||
\(120\) | −114.996 | − | 34.2922i | −0.958299 | − | 0.285769i | ||||
\(121\) | 70.7730 | − | 51.4196i | 0.584901 | − | 0.424955i | ||||
\(122\) | −81.2122 | − | 107.050i | −0.665674 | − | 0.877455i | ||||
\(123\) | 57.8909 | + | 39.5714i | 0.470658 | + | 0.321719i | ||||
\(124\) | 5.44377 | + | 131.478i | 0.0439014 | + | 1.06031i | ||||
\(125\) | 124.177 | − | 14.3244i | 0.993412 | − | 0.114595i | ||||
\(126\) | −84.6407 | − | 138.250i | −0.671751 | − | 1.09722i | ||||
\(127\) | −77.6281 | + | 152.354i | −0.611245 | + | 1.19964i | 0.353249 | + | 0.935529i | \(0.385077\pi\) |
−0.964494 | + | 0.264106i | \(0.914923\pi\) | |||||||
\(128\) | −89.3944 | − | 91.6113i | −0.698394 | − | 0.715713i | ||||
\(129\) | −163.675 | + | 89.4068i | −1.26880 | + | 0.693076i | ||||
\(130\) | −46.8580 | − | 9.63655i | −0.360446 | − | 0.0741273i | ||||
\(131\) | 122.819 | + | 89.2330i | 0.937548 | + | 0.681168i | 0.947829 | − | 0.318779i | \(-0.103273\pi\) |
−0.0102815 | + | 0.999947i | \(0.503273\pi\) | |||||||
\(132\) | −44.6731 | − | 53.2086i | −0.338433 | − | 0.403095i | ||||
\(133\) | −31.5939 | − | 199.476i | −0.237548 | − | 1.49982i | ||||
\(134\) | 4.71789 | + | 8.80419i | 0.0352082 | + | 0.0657029i | ||||
\(135\) | 39.1783 | − | 129.190i | 0.290210 | − | 0.956963i | ||||
\(136\) | 93.8381 | + | 40.6922i | 0.689986 | + | 0.299207i | ||||
\(137\) | 37.6736 | − | 19.1957i | 0.274990 | − | 0.140114i | −0.311058 | − | 0.950391i | \(-0.600683\pi\) |
0.586048 | + | 0.810277i | \(0.300683\pi\) | |||||||
\(138\) | −35.7810 | + | 79.7310i | −0.259282 | + | 0.577761i | ||||
\(139\) | 18.0217 | + | 55.4650i | 0.129652 | + | 0.399029i | 0.994720 | − | 0.102626i | \(-0.0327246\pi\) |
−0.865068 | + | 0.501655i | \(0.832725\pi\) | |||||||
\(140\) | 77.7235 | + | 162.481i | 0.555168 | + | 1.16058i | ||||
\(141\) | 91.2529 | − | 192.571i | 0.647183 | − | 1.36575i | ||||
\(142\) | −51.8247 | + | 74.5256i | −0.364962 | + | 0.524828i | ||||
\(143\) | −19.5846 | − | 19.5846i | −0.136955 | − | 0.136955i | ||||
\(144\) | 103.528 | − | 100.090i | 0.718945 | − | 0.695067i | ||||
\(145\) | −215.911 | − | 86.3870i | −1.48904 | − | 0.595773i | ||||
\(146\) | 15.0800 | − | 109.880i | 0.103288 | − | 0.752601i | ||||
\(147\) | −27.1182 | + | 92.4097i | −0.184477 | + | 0.628637i | ||||
\(148\) | 238.769 | + | 109.464i | 1.61331 | + | 0.739619i | ||||
\(149\) | −65.4526 | −0.439279 | −0.219640 | − | 0.975581i | \(-0.570488\pi\) | ||||
−0.219640 | + | 0.975581i | \(0.570488\pi\) | |||||||
\(150\) | −58.0847 | + | 138.297i | −0.387231 | + | 0.921983i | ||||
\(151\) | − | 222.207i | − | 1.47157i | −0.677216 | − | 0.735784i | \(-0.736814\pi\) | ||
0.677216 | − | 0.735784i | \(-0.263186\pi\) | |||||||
\(152\) | 166.861 | − | 65.9180i | 1.09777 | − | 0.433671i | ||||
\(153\) | −46.2678 | + | 105.354i | −0.302404 | + | 0.688591i | ||||
\(154\) | −14.1785 | + | 103.311i | −0.0920680 | + | 0.670848i | ||||
\(155\) | 164.125 | + | 10.9201i | 1.05887 | + | 0.0704523i | ||||
\(156\) | 37.6496 | − | 43.3358i | 0.241344 | − | 0.277794i | ||||
\(157\) | −125.275 | + | 125.275i | −0.797933 | + | 0.797933i | −0.982769 | − | 0.184837i | \(-0.940824\pi\) |
0.184837 | + | 0.982769i | \(0.440824\pi\) | |||||||
\(158\) | −108.299 | + | 155.737i | −0.685436 | + | 0.985679i | ||||
\(159\) | 24.7868 | − | 52.3076i | 0.155892 | − | 0.328979i | ||||
\(160\) | −125.874 | + | 98.7714i | −0.786711 | + | 0.617321i | ||||
\(161\) | 124.750 | − | 40.5338i | 0.774846 | − | 0.251763i | ||||
\(162\) | 112.060 | + | 116.990i | 0.691726 | + | 0.722160i | ||||
\(163\) | −65.9315 | − | 129.398i | −0.404488 | − | 0.793852i | 0.595467 | − | 0.803380i | \(-0.296967\pi\) |
−0.999955 | + | 0.00952763i | \(0.996967\pi\) | |||||||
\(164\) | 87.6501 | − | 32.5462i | 0.534452 | − | 0.198452i | ||||
\(165\) | −72.1336 | + | 48.3600i | −0.437173 | + | 0.293091i | ||||
\(166\) | −95.9752 | − | 179.102i | −0.578164 | − | 1.07893i | ||||
\(167\) | −190.354 | + | 30.1492i | −1.13985 | + | 0.180534i | −0.697687 | − | 0.716403i | \(-0.745787\pi\) |
−0.442159 | + | 0.896937i | \(0.645787\pi\) | |||||||
\(168\) | −215.661 | − | 14.3175i | −1.28370 | − | 0.0852234i | ||||
\(169\) | −85.8840 | + | 118.209i | −0.508190 | + | 0.699463i | ||||
\(170\) | 63.1921 | − | 111.143i | 0.371719 | − | 0.653782i | ||||
\(171\) | 73.2864 | + | 188.060i | 0.428576 | + | 1.09977i | ||||
\(172\) | −28.7067 | + | 247.007i | −0.166899 | + | 1.43609i | ||||
\(173\) | −185.433 | − | 94.4829i | −1.07187 | − | 0.546144i | −0.173251 | − | 0.984878i | \(-0.555427\pi\) |
−0.898617 | + | 0.438734i | \(0.855427\pi\) | |||||||
\(174\) | 217.390 | − | 174.978i | 1.24937 | − | 1.00562i | ||||
\(175\) | 212.376 | − | 74.7347i | 1.21358 | − | 0.427055i | ||||
\(176\) | −92.3169 | + | 7.65779i | −0.524528 | + | 0.0435101i | ||||
\(177\) | −60.0582 | − | 41.0529i | −0.339312 | − | 0.231938i | ||||
\(178\) | −82.2446 | − | 108.410i | −0.462048 | − | 0.609046i | ||||
\(179\) | 8.18179 | + | 11.2613i | 0.0457083 | + | 0.0629121i | 0.831259 | − | 0.555885i | \(-0.187620\pi\) |
−0.785551 | + | 0.618797i | \(0.787620\pi\) | |||||||
\(180\) | −110.460 | − | 142.122i | −0.613666 | − | 0.789565i | ||||
\(181\) | −168.262 | − | 122.250i | −0.929626 | − | 0.675412i | 0.0162756 | − | 0.999868i | \(-0.494819\pi\) |
−0.945901 | + | 0.324455i | \(0.894819\pi\) | |||||||
\(182\) | −86.1454 | + | 1.78264i | −0.473326 | + | 0.00979471i | ||||
\(183\) | −5.78718 | − | 201.470i | −0.0316239 | − | 1.10093i | ||||
\(184\) | 59.2383 | + | 100.341i | 0.321948 | + | 0.545330i | ||||
\(185\) | 168.152 | − | 282.005i | 0.908931 | − | 1.52435i | ||||
\(186\) | −107.992 | + | 165.224i | −0.580604 | + | 0.888299i | ||||
\(187\) | 65.9534 | − | 33.6049i | 0.352692 | − | 0.179706i | ||||
\(188\) | −139.355 | − | 247.609i | −0.741252 | − | 1.31707i | ||||
\(189\) | 17.2322 | − | 242.542i | 0.0911757 | − | 1.28329i | ||||
\(190\) | −59.4744 | − | 216.231i | −0.313023 | − | 1.13806i | ||||
\(191\) | 24.7920 | − | 76.3018i | 0.129801 | − | 0.399486i | −0.864944 | − | 0.501868i | \(-0.832646\pi\) |
0.994745 | + | 0.102382i | \(0.0326464\pi\) | |||||||
\(192\) | −29.2348 | − | 189.761i | −0.152265 | − | 0.988340i | ||||
\(193\) | −83.8548 | − | 83.8548i | −0.434481 | − | 0.434481i | 0.455668 | − | 0.890150i | \(-0.349400\pi\) |
−0.890150 | + | 0.455668i | \(0.849400\pi\) | |||||||
\(194\) | 54.5739 | + | 303.751i | 0.281309 | + | 1.56572i | ||||
\(195\) | −48.7909 | − | 52.6179i | −0.250210 | − | 0.269836i | ||||
\(196\) | 79.7097 | + | 100.674i | 0.406682 | + | 0.513640i | ||||
\(197\) | 239.271 | + | 37.8968i | 1.21457 | + | 0.192370i | 0.730657 | − | 0.682745i | \(-0.239214\pi\) |
0.483917 | + | 0.875114i | \(0.339214\pi\) | |||||||
\(198\) | −8.13328 | − | 103.895i | −0.0410772 | − | 0.524724i | ||||
\(199\) | 84.1339 | 0.422784 | 0.211392 | − | 0.977401i | \(-0.432200\pi\) | ||||
0.211392 | + | 0.977401i | \(0.432200\pi\) | |||||||
\(200\) | 105.816 | + | 169.714i | 0.529079 | + | 0.848572i | ||||
\(201\) | −1.91797 | + | 14.8596i | −0.00954215 | + | 0.0739286i | ||||
\(202\) | 29.2308 | + | 84.0079i | 0.144707 | + | 0.415881i | ||||
\(203\) | −413.700 | − | 65.5237i | −2.03793 | − | 0.322777i | ||||
\(204\) | 79.0555 | + | 131.486i | 0.387527 | + | 0.644538i | ||||
\(205\) | −28.6565 | − | 113.304i | −0.139788 | − | 0.552703i | ||||
\(206\) | 0.0730551 | + | 0.406615i | 0.000354636 | + | 0.00197386i | ||||
\(207\) | −113.191 | + | 66.1189i | −0.546817 | + | 0.319415i | ||||
\(208\) | −18.1824 | − | 74.3509i | −0.0874153 | − | 0.357456i | ||||
\(209\) | 40.1224 | − | 123.484i | 0.191973 | − | 0.590833i | ||||
\(210\) | −46.8019 | + | 266.086i | −0.222866 | + | 1.26707i | ||||
\(211\) | 226.449 | − | 73.5778i | 1.07322 | − | 0.348710i | 0.281478 | − | 0.959568i | \(-0.409175\pi\) |
0.791740 | + | 0.610858i | \(0.209175\pi\) | |||||||
\(212\) | −37.8527 | − | 67.2575i | −0.178551 | − | 0.317252i | ||||
\(213\) | −128.235 | + | 45.7768i | −0.602041 | + | 0.214914i | ||||
\(214\) | −100.026 | + | 206.781i | −0.467413 | + | 0.966266i | ||||
\(215\) | 303.105 | + | 68.9003i | 1.40979 | + | 0.320467i | ||||
\(216\) | 213.632 | − | 31.8988i | 0.989035 | − | 0.147680i | ||||
\(217\) | 292.618 | − | 46.3462i | 1.34847 | − | 0.213577i | ||||
\(218\) | 292.645 | − | 6.05579i | 1.34241 | − | 0.0277789i | ||||
\(219\) | 114.211 | − | 120.967i | 0.521513 | − | 0.552360i | ||||
\(220\) | −2.90104 | + | 115.756i | −0.0131865 | + | 0.526164i | ||||
\(221\) | 35.9504 | + | 49.4814i | 0.162671 | + | 0.223898i | ||||
\(222\) | 195.991 | + | 341.793i | 0.882841 | + | 1.53961i | ||||
\(223\) | 133.276 | + | 67.9074i | 0.597649 | + | 0.304518i | 0.726522 | − | 0.687144i | \(-0.241136\pi\) |
−0.128872 | + | 0.991661i | \(0.541136\pi\) | |||||||
\(224\) | −181.642 | + | 223.729i | −0.810903 | + | 0.998790i | ||||
\(225\) | −191.479 | + | 118.156i | −0.851017 | + | 0.525138i | ||||
\(226\) | 102.001 | + | 97.8649i | 0.451331 | + | 0.433030i | ||||
\(227\) | −358.615 | − | 182.723i | −1.57980 | − | 0.804949i | −0.579848 | − | 0.814725i | \(-0.696888\pi\) |
−0.999952 | + | 0.00977602i | \(0.996888\pi\) | |||||||
\(228\) | 261.138 | + | 65.0302i | 1.14534 | + | 0.285220i | ||||
\(229\) | 53.7070 | + | 73.9214i | 0.234529 | + | 0.322801i | 0.910018 | − | 0.414569i | \(-0.136068\pi\) |
−0.675489 | + | 0.737370i | \(0.736068\pi\) | |||||||
\(230\) | 132.666 | − | 60.1210i | 0.576808 | − | 0.261396i | ||||
\(231\) | −107.383 | + | 113.735i | −0.464862 | + | 0.492358i | ||||
\(232\) | −23.0808 | − | 371.366i | −0.0994862 | − | 1.60072i | ||||
\(233\) | −64.9544 | + | 10.2878i | −0.278774 | + | 0.0441535i | −0.294256 | − | 0.955727i | \(-0.595072\pi\) |
0.0154818 | + | 0.999880i | \(0.495072\pi\) | |||||||
\(234\) | 83.7387 | − | 20.0671i | 0.357858 | − | 0.0857567i | ||||
\(235\) | −326.459 | + | 139.876i | −1.38919 | + | 0.595219i | ||||
\(236\) | −90.9315 | + | 33.7647i | −0.385303 | + | 0.143071i | ||||
\(237\) | −267.974 | + | 95.6605i | −1.13069 | + | 0.403631i | ||||
\(238\) | 66.6135 | − | 220.433i | 0.279889 | − | 0.926187i | ||||
\(239\) | 282.568 | − | 91.8118i | 1.18229 | − | 0.384150i | 0.349074 | − | 0.937095i | \(-0.386496\pi\) |
0.833218 | + | 0.552945i | \(0.186496\pi\) | |||||||
\(240\) | −239.757 | + | 10.8062i | −0.998986 | + | 0.0450260i | ||||
\(241\) | −25.1808 | + | 77.4984i | −0.104484 | + | 0.321570i | −0.989609 | − | 0.143784i | \(-0.954073\pi\) |
0.885125 | + | 0.465354i | \(0.154073\pi\) | |||||||
\(242\) | 99.8888 | − | 143.643i | 0.412763 | − | 0.593568i | ||||
\(243\) | 34.7712 | + | 240.499i | 0.143091 | + | 0.989709i | ||||
\(244\) | −223.762 | − | 148.831i | −0.917058 | − | 0.609962i | ||||
\(245\) | 135.833 | − | 85.5169i | 0.554421 | − | 0.349048i | ||||
\(246\) | 135.360 | + | 36.6982i | 0.550243 | + | 0.149180i | ||||
\(247\) | 105.963 | + | 16.7829i | 0.428999 | + | 0.0679468i | ||||
\(248\) | 96.6973 | + | 244.773i | 0.389909 | + | 0.986990i | ||||
\(249\) | 39.0169 | − | 302.287i | 0.156694 | − | 1.21400i | ||||
\(250\) | 225.145 | − | 108.673i | 0.900579 | − | 0.434693i | ||||
\(251\) | −136.769 | −0.544897 | −0.272448 | − | 0.962170i | \(-0.587833\pi\) | ||||
−0.272448 | + | 0.962170i | \(0.587833\pi\) | |||||||
\(252\) | −250.745 | − | 205.513i | −0.995019 | − | 0.815526i | ||||
\(253\) | 83.2893 | + | 13.1917i | 0.329207 | + | 0.0521412i | ||||
\(254\) | −46.4981 | + | 338.805i | −0.183063 | + | 1.33388i | ||||
\(255\) | 174.037 | − | 80.5592i | 0.682496 | − | 0.315918i | ||||
\(256\) | −229.071 | − | 114.292i | −0.894808 | − | 0.446451i | ||||
\(257\) | −59.6536 | − | 59.6536i | −0.232115 | − | 0.232115i | 0.581460 | − | 0.813575i | \(-0.302482\pi\) |
−0.813575 | + | 0.581460i | \(0.802482\pi\) | |||||||
\(258\) | −250.406 | + | 276.458i | −0.970567 | + | 1.07154i | ||||
\(259\) | 182.743 | − | 562.426i | 0.705573 | − | 2.17153i | ||||
\(260\) | −94.8447 | + | 12.5950i | −0.364787 | + | 0.0484422i | ||||
\(261\) | 417.903 | − | 24.0281i | 1.60116 | − | 0.0920618i | ||||
\(262\) | 290.643 | + | 87.8309i | 1.10933 | + | 0.335232i | ||||
\(263\) | −27.8889 | + | 14.2101i | −0.106041 | + | 0.0540308i | −0.506207 | − | 0.862412i | \(-0.668953\pi\) |
0.400165 | + | 0.916443i | \(0.368953\pi\) | |||||||
\(264\) | −119.356 | − | 71.1452i | −0.452104 | − | 0.269489i | ||||
\(265\) | −88.6753 | + | 37.9942i | −0.334624 | + | 0.143375i | ||||
\(266\) | −190.785 | − | 356.029i | −0.717236 | − | 1.33846i | ||||
\(267\) | −5.86074 | − | 204.031i | −0.0219503 | − | 0.764162i | ||||
\(268\) | 14.6983 | + | 13.5296i | 0.0548444 | + | 0.0504834i | ||||
\(269\) | −13.4627 | − | 9.78124i | −0.0500473 | − | 0.0363615i | 0.562480 | − | 0.826811i | \(-0.309847\pi\) |
−0.612528 | + | 0.790449i | \(0.709847\pi\) | |||||||
\(270\) | −10.9060 | − | 269.780i | −0.0403927 | − | 0.999184i | ||||
\(271\) | 13.3960 | + | 18.4379i | 0.0494316 | + | 0.0680367i | 0.833017 | − | 0.553247i | \(-0.186611\pi\) |
−0.783586 | + | 0.621284i | \(0.786611\pi\) | |||||||
\(272\) | 203.998 | + | 15.1887i | 0.749992 | + | 0.0558408i | ||||
\(273\) | −106.700 | − | 72.9352i | −0.390843 | − | 0.267162i | ||||
\(274\) | 58.5460 | − | 61.0202i | 0.213672 | − | 0.222702i | ||||
\(275\) | 143.465 | + | 19.1758i | 0.521690 | + | 0.0697301i | ||||
\(276\) | −15.1838 | + | 174.123i | −0.0550139 | + | 0.630879i | ||||
\(277\) | −362.066 | − | 184.482i | −1.30710 | − | 0.665999i | −0.344974 | − | 0.938612i | \(-0.612112\pi\) |
−0.962124 | + | 0.272613i | \(0.912112\pi\) | |||||||
\(278\) | 70.4961 | + | 92.9242i | 0.253583 | + | 0.334260i | ||||
\(279\) | −275.872 | + | 107.506i | −0.988787 | + | 0.385327i | ||||
\(280\) | 253.604 | + | 255.829i | 0.905730 | + | 0.913674i | ||||
\(281\) | 314.876 | − | 433.390i | 1.12056 | − | 1.54231i | 0.315686 | − | 0.948864i | \(-0.397765\pi\) |
0.804871 | − | 0.593450i | \(-0.202235\pi\) | |||||||
\(282\) | 45.8010 | − | 423.728i | 0.162415 | − | 1.50258i | ||||
\(283\) | 198.267 | − | 31.4024i | 0.700590 | − | 0.110963i | 0.204029 | − | 0.978965i | \(-0.434596\pi\) |
0.496560 | + | 0.868002i | \(0.334596\pi\) | |||||||
\(284\) | −48.9103 | + | 174.835i | −0.172220 | + | 0.615616i | ||||
\(285\) | 115.942 | − | 315.780i | 0.406814 | − | 1.10800i | ||||
\(286\) | −49.8657 | − | 24.1216i | −0.174356 | − | 0.0843414i | ||||
\(287\) | −95.5659 | − | 187.559i | −0.332982 | − | 0.653515i | ||||
\(288\) | 129.772 | − | 257.106i | 0.450596 | − | 0.892728i | ||||
\(289\) | 119.396 | − | 38.7940i | 0.413133 | − | 0.134235i | ||||
\(290\) | −464.617 | − | 21.2696i | −1.60213 | − | 0.0733434i | ||||
\(291\) | −198.232 | + | 418.330i | −0.681210 | + | 1.43756i | ||||
\(292\) | −43.7340 | − | 217.466i | −0.149774 | − | 0.744745i | ||||
\(293\) | −242.868 | + | 242.868i | −0.828902 | + | 0.828902i | −0.987365 | − | 0.158463i | \(-0.949346\pi\) |
0.158463 | + | 0.987365i | \(0.449346\pi\) | |||||||
\(294\) | 9.51260 | + | 192.378i | 0.0323558 | + | 0.654347i | ||||
\(295\) | 29.7294 | + | 117.546i | 0.100778 | + | 0.398461i | ||||
\(296\) | 522.962 | + | 49.8358i | 1.76676 | + | 0.168364i | ||||
\(297\) | 80.6602 | − | 133.902i | 0.271583 | − | 0.450850i | ||||
\(298\) | −123.635 | + | 43.0190i | −0.414881 | + | 0.144359i | ||||
\(299\) | 69.6783i | 0.233038i | ||||||||
\(300\) | −18.8207 | + | 299.409i | −0.0627356 | + | 0.998030i | ||||
\(301\) | 559.860 | 1.86000 | ||||||||
\(302\) | −146.046 | − | 419.731i | −0.483597 | − | 1.38984i | ||||
\(303\) | −37.5693 | + | 128.024i | −0.123991 | + | 0.422520i | ||||
\(304\) | 271.861 | − | 234.184i | 0.894281 | − | 0.770341i | ||||
\(305\) | −215.057 | + | 258.059i | −0.705104 | + | 0.846095i | ||||
\(306\) | −18.1514 | + | 229.416i | −0.0593183 | + | 0.749725i | ||||
\(307\) | −110.453 | − | 110.453i | −0.359782 | − | 0.359782i | 0.503950 | − | 0.863733i | \(-0.331879\pi\) |
−0.863733 | + | 0.503950i | \(0.831879\pi\) | |||||||
\(308\) | 41.1193 | + | 204.464i | 0.133504 | + | 0.663845i | ||||
\(309\) | −0.265363 | + | 0.559996i | −0.000858779 | + | 0.00181229i | ||||
\(310\) | 317.197 | − | 87.2450i | 1.02322 | − | 0.281435i | ||||
\(311\) | −157.400 | − | 484.427i | −0.506109 | − | 1.55764i | −0.798898 | − | 0.601467i | \(-0.794583\pi\) |
0.292789 | − | 0.956177i | \(-0.405417\pi\) | |||||||
\(312\) | 42.6345 | − | 106.603i | 0.136649 | − | 0.341677i | ||||
\(313\) | 106.928 | − | 54.4825i | 0.341623 | − | 0.174066i | −0.274759 | − | 0.961513i | \(-0.588598\pi\) |
0.616382 | + | 0.787448i | \(0.288598\pi\) | |||||||
\(314\) | −154.297 | + | 318.973i | −0.491393 | + | 1.01584i | ||||
\(315\) | −289.127 | + | 283.967i | −0.917864 | + | 0.901483i | ||||
\(316\) | −102.209 | + | 365.355i | −0.323445 | + | 1.15619i | ||||
\(317\) | 92.2170 | + | 582.235i | 0.290905 | + | 1.83670i | 0.508988 | + | 0.860774i | \(0.330020\pi\) |
−0.218082 | + | 0.975930i | \(0.569980\pi\) | |||||||
\(318\) | 12.4408 | − | 115.096i | 0.0391220 | − | 0.361938i | ||||
\(319\) | −217.850 | − | 158.277i | −0.682916 | − | 0.496167i | ||||
\(320\) | −172.847 | + | 269.302i | −0.540148 | + | 0.841570i | ||||
\(321\) | −302.383 | + | 165.175i | −0.942003 | + | 0.514564i | ||||
\(322\) | 209.002 | − | 158.558i | 0.649075 | − | 0.492415i | ||||
\(323\) | −130.169 | + | 255.471i | −0.403000 | + | 0.790932i | ||||
\(324\) | 288.564 | + | 147.333i | 0.890629 | + | 0.454731i | ||||
\(325\) | 2.89458 | + | 119.562i | 0.00890641 | + | 0.367882i | ||||
\(326\) | −209.587 | − | 201.089i | −0.642904 | − | 0.616836i | ||||
\(327\) | 362.471 | + | 247.768i | 1.10847 | + | 0.757700i | ||||
\(328\) | 144.173 | − | 119.085i | 0.439551 | − | 0.363066i | ||||
\(329\) | −517.526 | + | 376.005i | −1.57303 | + | 1.14287i | ||||
\(330\) | −104.470 | + | 138.758i | −0.316575 | + | 0.420479i | ||||
\(331\) | 120.135 | − | 165.352i | 0.362947 | − | 0.499553i | −0.588020 | − | 0.808846i | \(-0.700092\pi\) |
0.950967 | + | 0.309293i | \(0.100092\pi\) | |||||||
\(332\) | −299.005 | − | 275.229i | −0.900617 | − | 0.829003i | ||||
\(333\) | −58.7931 | + | 588.066i | −0.176556 | + | 1.76596i | ||||
\(334\) | −339.748 | + | 182.061i | −1.01721 | + | 0.545092i | ||||
\(335\) | 18.7908 | − | 16.4463i | 0.0560920 | − | 0.0490935i | ||||
\(336\) | −416.777 | + | 114.700i | −1.24041 | + | 0.341368i | ||||
\(337\) | 59.9838 | + | 117.725i | 0.177993 | + | 0.349332i | 0.962715 | − | 0.270516i | \(-0.0871943\pi\) |
−0.784722 | + | 0.619848i | \(0.787194\pi\) | |||||||
\(338\) | −84.5345 | + | 279.735i | −0.250102 | + | 0.827619i | ||||
\(339\) | 39.1691 | + | 208.386i | 0.115543 | + | 0.614707i | ||||
\(340\) | 46.3157 | − | 251.473i | 0.136223 | − | 0.739628i | ||||
\(341\) | 181.143 | + | 58.8569i | 0.531211 | + | 0.172601i | ||||
\(342\) | 262.035 | + | 307.063i | 0.766186 | + | 0.897844i | ||||
\(343\) | −107.605 | + | 107.605i | −0.313717 | + | 0.313717i | ||||
\(344\) | 108.122 | + | 485.445i | 0.314308 | + | 1.41118i | ||||
\(345\) | 214.347 | + | 42.2911i | 0.621296 | + | 0.122583i | ||||
\(346\) | −412.367 | − | 56.5938i | −1.19181 | − | 0.163566i | ||||
\(347\) | −69.2909 | + | 437.486i | −0.199686 | + | 1.26077i | 0.660516 | + | 0.750812i | \(0.270337\pi\) |
−0.860202 | + | 0.509954i | \(0.829663\pi\) | |||||||
\(348\) | 295.626 | − | 473.400i | 0.849501 | − | 1.36035i | ||||
\(349\) | 178.311i | 0.510920i | 0.966820 | + | 0.255460i | \(0.0822268\pi\) | ||||
−0.966820 | + | 0.255460i | \(0.917773\pi\) | |||||||
\(350\) | 352.042 | − | 280.753i | 1.00583 | − | 0.802151i | ||||
\(351\) | 119.705 | + | 48.5194i | 0.341040 | + | 0.138232i | ||||
\(352\) | −169.346 | + | 75.1406i | −0.481097 | + | 0.213468i | ||||
\(353\) | −15.4745 | + | 97.7020i | −0.0438370 | + | 0.276776i | −0.999864 | − | 0.0165033i | \(-0.994747\pi\) |
0.956027 | + | 0.293279i | \(0.0947466\pi\) | |||||||
\(354\) | −140.427 | − | 38.0722i | −0.396688 | − | 0.107548i | ||||
\(355\) | 210.695 | + | 84.3002i | 0.593508 | + | 0.237465i | ||||
\(356\) | −226.606 | − | 150.723i | −0.636535 | − | 0.423378i | ||||
\(357\) | 273.503 | − | 210.971i | 0.766115 | − | 0.590955i | ||||
\(358\) | 22.8563 | + | 15.8941i | 0.0638443 | + | 0.0443969i | ||||
\(359\) | 188.877 | + | 61.3698i | 0.526119 | + | 0.170946i | 0.560020 | − | 0.828479i | \(-0.310793\pi\) |
−0.0339016 | + | 0.999425i | \(0.510793\pi\) | |||||||
\(360\) | −302.060 | − | 195.856i | −0.839056 | − | 0.544045i | ||||
\(361\) | 43.8594 | + | 134.985i | 0.121494 | + | 0.373921i | ||||
\(362\) | −398.183 | − | 120.329i | −1.09995 | − | 0.332400i | ||||
\(363\) | 247.165 | − | 88.2318i | 0.680894 | − | 0.243063i | ||||
\(364\) | −161.550 | + | 59.9867i | −0.443819 | + | 0.164799i | ||||
\(365\) | −276.136 | + | 25.0984i | −0.756537 | + | 0.0687628i | ||||
\(366\) | −143.349 | − | 376.758i | −0.391663 | − | 1.02939i | ||||
\(367\) | 23.8001 | + | 150.268i | 0.0648503 | + | 0.409449i | 0.998663 | + | 0.0516874i | \(0.0164599\pi\) |
−0.933813 | + | 0.357762i | \(0.883540\pi\) | |||||||
\(368\) | 177.846 | + | 150.601i | 0.483277 | + | 0.409241i | ||||
\(369\) | 133.218 | + | 162.814i | 0.361023 | + | 0.441230i | ||||
\(370\) | 132.277 | − | 643.203i | 0.357507 | − | 1.73839i | ||||
\(371\) | −140.574 | + | 102.133i | −0.378906 | + | 0.275292i | ||||
\(372\) | −95.3950 | + | 383.073i | −0.256438 | + | 1.02977i | ||||
\(373\) | −327.480 | + | 642.715i | −0.877962 | + | 1.72310i | −0.211766 | + | 0.977320i | \(0.567921\pi\) |
−0.666196 | + | 0.745777i | \(0.732079\pi\) | |||||||
\(374\) | 102.494 | − | 106.825i | 0.274047 | − | 0.285629i | ||||
\(375\) | 369.556 | + | 63.6632i | 0.985484 | + | 0.169769i | ||||
\(376\) | −425.973 | − | 376.122i | −1.13291 | − | 1.00033i | ||||
\(377\) | 101.013 | − | 198.248i | 0.267938 | − | 0.525857i | ||||
\(378\) | −126.861 | − | 469.468i | −0.335612 | − | 1.24198i | ||||
\(379\) | −205.957 | + | 149.637i | −0.543423 | + | 0.394820i | −0.825355 | − | 0.564614i | \(-0.809025\pi\) |
0.281931 | + | 0.959435i | \(0.409025\pi\) | |||||||
\(380\) | −254.461 | − | 369.354i | −0.669635 | − | 0.971984i | ||||
\(381\) | −352.161 | + | 372.991i | −0.924308 | + | 0.978979i | ||||
\(382\) | −3.31968 | − | 160.423i | −0.00869026 | − | 0.419954i | ||||
\(383\) | −51.9998 | − | 328.314i | −0.135770 | − | 0.857216i | −0.957729 | − | 0.287671i | \(-0.907119\pi\) |
0.821960 | − | 0.569546i | \(-0.192881\pi\) | |||||||
\(384\) | −179.944 | − | 339.229i | −0.468603 | − | 0.883409i | ||||
\(385\) | 259.627 | − | 23.5979i | 0.674356 | − | 0.0612932i | ||||
\(386\) | −213.509 | − | 103.281i | −0.553132 | − | 0.267568i | ||||
\(387\) | −546.683 | + | 119.103i | −1.41262 | + | 0.307761i | ||||
\(388\) | 302.727 | + | 537.892i | 0.780224 | + | 1.38632i | ||||
\(389\) | −138.455 | − | 426.121i | −0.355926 | − | 1.09543i | −0.955471 | − | 0.295086i | \(-0.904652\pi\) |
0.599545 | − | 0.800341i | \(-0.295348\pi\) | |||||||
\(390\) | −126.746 | − | 67.3230i | −0.324989 | − | 0.172623i | ||||
\(391\) | −177.105 | − | 57.5449i | −0.452954 | − | 0.147174i | ||||
\(392\) | 216.733 | + | 137.775i | 0.552891 | + | 0.351466i | ||||
\(393\) | 278.168 | + | 360.618i | 0.707807 | + | 0.917603i | ||||
\(394\) | 476.872 | − | 85.6779i | 1.21033 | − | 0.217457i | ||||
\(395\) | 440.294 | + | 176.164i | 1.11467 | + | 0.445984i | ||||
\(396\) | −83.6488 | − | 190.904i | −0.211234 | − | 0.482082i | ||||
\(397\) | 2.60563 | − | 16.4513i | 0.00656331 | − | 0.0414391i | −0.984189 | − | 0.177120i | \(-0.943322\pi\) |
0.990753 | + | 0.135680i | \(0.0433221\pi\) | |||||||
\(398\) | 158.922 | − | 55.2974i | 0.399302 | − | 0.138938i | ||||
\(399\) | 77.5601 | − | 600.903i | 0.194386 | − | 1.50602i | ||||
\(400\) | 311.423 | + | 251.029i | 0.778558 | + | 0.627573i | ||||
\(401\) | 479.587i | 1.19598i | 0.801504 | + | 0.597989i | \(0.204033\pi\) | ||||
−0.801504 | + | 0.597989i | \(0.795967\pi\) | |||||||
\(402\) | 6.14367 | + | 29.3293i | 0.0152828 | + | 0.0729584i | ||||
\(403\) | −24.6193 | + | 155.440i | −0.0610902 | + | 0.385708i | ||||
\(404\) | 110.429 | + | 139.472i | 0.273339 | + | 0.345228i | ||||
\(405\) | 221.912 | − | 338.792i | 0.547931 | − | 0.836524i | ||||
\(406\) | −824.512 | + | 148.137i | −2.03082 | + | 0.364870i | ||||
\(407\) | 268.830 | − | 268.830i | 0.660517 | − | 0.660517i | ||||
\(408\) | 235.749 | + | 196.406i | 0.577816 | + | 0.481388i | ||||
\(409\) | −315.609 | − | 102.547i | −0.771659 | − | 0.250727i | −0.103384 | − | 0.994642i | \(-0.532967\pi\) |
−0.668275 | + | 0.743914i | \(0.732967\pi\) | |||||||
\(410\) | −128.600 | − | 195.188i | −0.313658 | − | 0.476068i | ||||
\(411\) | 124.663 | − | 23.4322i | 0.303317 | − | 0.0570127i | ||||
\(412\) | 0.405244 | + | 0.720047i | 0.000983603 | + | 0.00174769i | ||||
\(413\) | 99.1438 | + | 194.581i | 0.240058 | + | 0.471139i | ||||
\(414\) | −170.352 | + | 199.289i | −0.411478 | + | 0.481374i | ||||
\(415\) | −382.258 | + | 334.564i | −0.921104 | + | 0.806179i | ||||
\(416\) | −83.2125 | − | 128.492i | −0.200030 | − | 0.308876i | ||||
\(417\) | 5.02355 | + | 174.886i | 0.0120469 | + | 0.419391i | ||||
\(418\) | −5.37245 | − | 259.622i | −0.0128528 | − | 0.621106i | ||||
\(419\) | −272.167 | + | 374.606i | −0.649563 | + | 0.894047i | −0.999080 | − | 0.0428832i | \(-0.986346\pi\) |
0.349517 | + | 0.936930i | \(0.386346\pi\) | |||||||
\(420\) | 86.4808 | + | 533.375i | 0.205907 | + | 1.26994i | ||||
\(421\) | −233.035 | + | 169.310i | −0.553527 | + | 0.402161i | −0.829084 | − | 0.559124i | \(-0.811138\pi\) |
0.275557 | + | 0.961285i | \(0.411138\pi\) | |||||||
\(422\) | 379.385 | − | 287.817i | 0.899016 | − | 0.682031i | ||||
\(423\) | 425.355 | − | 477.253i | 1.00557 | − | 1.12826i | ||||
\(424\) | −115.706 | − | 102.165i | −0.272892 | − | 0.240955i | ||||
\(425\) | −306.287 | − | 91.3845i | −0.720674 | − | 0.215022i | ||||
\(426\) | −212.138 | + | 170.752i | −0.497977 | + | 0.400825i | ||||
\(427\) | −274.683 | + | 539.096i | −0.643286 | + | 1.26252i | ||||
\(428\) | −53.0343 | + | 456.335i | −0.123912 | + | 1.06620i | ||||
\(429\) | −39.8324 | − | 72.9204i | −0.0928494 | − | 0.169978i | ||||
\(430\) | 617.826 | − | 69.0699i | 1.43680 | − | 0.160628i | ||||
\(431\) | 556.862 | + | 404.584i | 1.29202 | + | 0.938709i | 0.999844 | − | 0.0176544i | \(-0.00561987\pi\) |
0.292178 | + | 0.956364i | \(0.405620\pi\) | |||||||
\(432\) | 382.567 | − | 200.665i | 0.885572 | − | 0.464501i | ||||
\(433\) | −121.370 | − | 766.298i | −0.280299 | − | 1.76974i | −0.578935 | − | 0.815374i | \(-0.696531\pi\) |
0.298635 | − | 0.954367i | \(-0.403469\pi\) | |||||||
\(434\) | 522.271 | − | 279.869i | 1.20339 | − | 0.644859i | ||||
\(435\) | −548.549 | − | 431.065i | −1.26103 | − | 0.990953i | ||||
\(436\) | 548.802 | − | 203.781i | 1.25872 | − | 0.467387i | ||||
\(437\) | −291.041 | + | 148.293i | −0.665998 | + | 0.339343i | ||||
\(438\) | 136.230 | − | 303.562i | 0.311028 | − | 0.693065i | ||||
\(439\) | −34.9013 | − | 107.415i | −0.0795018 | − | 0.244681i | 0.903404 | − | 0.428790i | \(-0.141060\pi\) |
−0.982906 | + | 0.184109i | \(0.941060\pi\) | |||||||
\(440\) | 70.6014 | + | 220.561i | 0.160458 | + | 0.501274i | ||||
\(441\) | −156.125 | + | 243.104i | −0.354026 | + | 0.551255i | ||||
\(442\) | 100.429 | + | 69.8379i | 0.227215 | + | 0.158004i | ||||
\(443\) | −53.9145 | − | 53.9145i | −0.121703 | − | 0.121703i | 0.643632 | − | 0.765335i | \(-0.277427\pi\) |
−0.765335 | + | 0.643632i | \(0.777427\pi\) | |||||||
\(444\) | 594.855 | + | 516.803i | 1.33976 | + | 1.16397i | ||||
\(445\) | −217.791 | + | 261.339i | −0.489417 | + | 0.587279i | ||||
\(446\) | 296.380 | + | 40.6755i | 0.664529 | + | 0.0912007i | ||||
\(447\) | −188.413 | − | 55.2908i | −0.421505 | − | 0.123693i | ||||
\(448\) | −196.061 | + | 541.991i | −0.437636 | + | 1.20980i | ||||
\(449\) | −297.422 | −0.662409 | −0.331205 | − | 0.943559i | \(-0.607455\pi\) | ||||
−0.331205 | + | 0.943559i | \(0.607455\pi\) | |||||||
\(450\) | −284.029 | + | 349.038i | −0.631176 | + | 0.775639i | ||||
\(451\) | − | 135.329i | − | 0.300064i | ||||||
\(452\) | 256.993 | + | 117.818i | 0.568569 | + | 0.260660i | ||||
\(453\) | 187.708 | − | 639.647i | 0.414367 | − | 1.41202i | ||||
\(454\) | −797.490 | − | 109.449i | −1.75659 | − | 0.241076i | ||||
\(455\) | 52.8176 | + | 208.834i | 0.116083 | + | 0.458976i | ||||
\(456\) | 536.011 | − | 48.7975i | 1.17546 | − | 0.107012i | ||||
\(457\) | 577.271 | − | 577.271i | 1.26317 | − | 1.26317i | 0.313629 | − | 0.949546i | \(-0.398455\pi\) |
0.949546 | − | 0.313629i | \(-0.101545\pi\) | |||||||
\(458\) | 150.033 | + | 104.332i | 0.327584 | + | 0.227800i | ||||
\(459\) | −222.185 | + | 264.190i | −0.484062 | + | 0.575577i | ||||
\(460\) | 211.080 | − | 200.759i | 0.458870 | − | 0.436432i | ||||
\(461\) | 405.669 | − | 131.810i | 0.879977 | − | 0.285922i | 0.166029 | − | 0.986121i | \(-0.446905\pi\) |
0.713948 | + | 0.700199i | \(0.246905\pi\) | |||||||
\(462\) | −128.085 | + | 285.414i | −0.277241 | + | 0.617779i | ||||
\(463\) | −221.434 | − | 434.588i | −0.478259 | − | 0.938636i | −0.996515 | − | 0.0834105i | \(-0.973419\pi\) |
0.518257 | − | 0.855225i | \(-0.326581\pi\) | |||||||
\(464\) | −287.680 | − | 686.311i | −0.620000 | − | 1.47912i | ||||
\(465\) | 463.229 | + | 170.079i | 0.996191 | + | 0.365761i | ||||
\(466\) | −115.932 | + | 62.1243i | −0.248781 | + | 0.133314i | ||||
\(467\) | −373.887 | + | 59.2179i | −0.800615 | + | 0.126805i | −0.543317 | − | 0.839527i | \(-0.682832\pi\) |
−0.257297 | + | 0.966332i | \(0.582832\pi\) | |||||||
\(468\) | 144.986 | − | 92.9427i | 0.309800 | − | 0.198595i | ||||
\(469\) | 26.4369 | − | 36.3872i | 0.0563686 | − | 0.0775847i | ||||
\(470\) | −524.721 | + | 478.782i | −1.11643 | + | 1.01869i | ||||
\(471\) | −466.445 | + | 254.793i | −0.990330 | + | 0.540963i | ||||
\(472\) | −149.570 | + | 123.544i | −0.316886 | + | 0.261745i | ||||
\(473\) | 320.697 | + | 163.403i | 0.678006 | + | 0.345461i | ||||
\(474\) | −443.309 | + | 356.822i | −0.935251 | + | 0.752790i | ||||
\(475\) | −493.239 | + | 266.547i | −1.03840 | + | 0.561152i | ||||
\(476\) | −19.0527 | − | 460.161i | −0.0400267 | − | 0.966726i | ||||
\(477\) | 115.538 | − | 129.635i | 0.242218 | − | 0.271771i | ||||
\(478\) | 473.404 | − | 359.144i | 0.990385 | − | 0.751347i | ||||
\(479\) | 79.4723 | + | 109.384i | 0.165913 | + | 0.228360i | 0.883876 | − | 0.467722i | \(-0.154925\pi\) |
−0.717963 | + | 0.696082i | \(0.754925\pi\) | |||||||
\(480\) | −445.778 | + | 177.993i | −0.928705 | + | 0.370819i | ||||
\(481\) | 254.144 | + | 184.646i | 0.528365 | + | 0.383880i | ||||
\(482\) | 3.37174 | + | 162.938i | 0.00699531 | + | 0.338046i | ||||
\(483\) | 393.348 | − | 11.2988i | 0.814386 | − | 0.0233930i | ||||
\(484\) | 94.2716 | − | 336.983i | 0.194776 | − | 0.696246i | ||||
\(485\) | 709.181 | − | 303.859i | 1.46223 | − | 0.626513i | ||||
\(486\) | 223.749 | + | 431.431i | 0.460389 | + | 0.887717i | ||||
\(487\) | 322.542 | − | 164.343i | 0.662304 | − | 0.337461i | −0.0903185 | − | 0.995913i | \(-0.528788\pi\) |
0.752623 | + | 0.658452i | \(0.228788\pi\) | |||||||
\(488\) | −520.488 | − | 134.061i | −1.06657 | − | 0.274715i | ||||
\(489\) | −80.4829 | − | 428.182i | −0.164587 | − | 0.875627i | ||||
\(490\) | 200.371 | − | 250.811i | 0.408921 | − | 0.511860i | ||||
\(491\) | −109.793 | + | 337.908i | −0.223611 | + | 0.688204i | 0.774819 | + | 0.632184i | \(0.217841\pi\) |
−0.998430 | + | 0.0560205i | \(0.982159\pi\) | |||||||
\(492\) | 279.804 | − | 19.6458i | 0.568707 | − | 0.0399304i | ||||
\(493\) | 420.475 | + | 420.475i | 0.852891 | + | 0.852891i | ||||
\(494\) | 211.186 | − | 37.9430i | 0.427502 | − | 0.0768078i | ||||
\(495\) | −248.496 | + | 78.2750i | −0.502013 | + | 0.158131i | ||||
\(496\) | 343.532 | + | 398.803i | 0.692605 | + | 0.804037i | ||||
\(497\) | 403.707 | + | 63.9409i | 0.812287 | + | 0.128654i | ||||
\(498\) | −124.980 | − | 596.640i | −0.250963 | − | 1.19807i | ||||
\(499\) | 200.877 | 0.402560 | 0.201280 | − | 0.979534i | \(-0.435490\pi\) | ||||
0.201280 | + | 0.979534i | \(0.435490\pi\) | |||||||
\(500\) | 353.854 | − | 353.252i | 0.707708 | − | 0.706505i | ||||
\(501\) | −573.425 | − | 74.0134i | −1.14456 | − | 0.147731i | ||||
\(502\) | −258.346 | + | 89.8921i | −0.514633 | + | 0.179068i | ||||
\(503\) | 165.875 | + | 26.2720i | 0.329771 | + | 0.0522306i | 0.319125 | − | 0.947713i | \(-0.396611\pi\) |
0.0106463 | + | 0.999943i | \(0.496611\pi\) | |||||||
\(504\) | −608.711 | − | 223.394i | −1.20776 | − | 0.443242i | ||||
\(505\) | 188.182 | − | 118.474i | 0.372637 | − | 0.234603i | ||||
\(506\) | 165.997 | − | 29.8241i | 0.328057 | − | 0.0589410i | ||||
\(507\) | −347.084 | + | 267.728i | −0.684583 | + | 0.528064i | ||||
\(508\) | 134.850 | + | 670.537i | 0.265453 | + | 1.31995i | ||||
\(509\) | 233.620 | − | 719.008i | 0.458978 | − | 1.41259i | −0.407423 | − | 0.913240i | \(-0.633572\pi\) |
0.866401 | − | 0.499349i | \(-0.166428\pi\) | |||||||
\(510\) | 275.793 | − | 266.556i | 0.540771 | − | 0.522659i | ||||
\(511\) | −474.966 | + | 154.326i | −0.929483 | + | 0.302007i | ||||
\(512\) | −507.815 | − | 65.3296i | −0.991826 | − | 0.127597i | ||||
\(513\) | 52.1001 | + | 603.260i | 0.101560 | + | 1.17595i | ||||
\(514\) | −151.888 | − | 73.4732i | −0.295503 | − | 0.142944i | ||||
\(515\) | 0.949342 | − | 0.406760i | 0.00184338 | − | 0.000789824i | ||||
\(516\) | −291.294 | + | 686.788i | −0.564523 | + | 1.33099i | ||||
\(517\) | −406.189 | + | 64.3341i | −0.785666 | + | 0.124437i | ||||
\(518\) | −24.4696 | − | 1182.49i | −0.0472386 | − | 2.28279i | ||||
\(519\) | −453.976 | − | 428.623i | −0.874712 | − | 0.825864i | ||||
\(520\) | −170.876 | + | 86.1279i | −0.328607 | + | 0.165631i | ||||
\(521\) | −368.522 | − | 507.227i | −0.707336 | − | 0.973564i | −0.999850 | − | 0.0173032i | \(-0.994492\pi\) |
0.292514 | − | 0.956261i | \(-0.405508\pi\) | |||||||
\(522\) | 773.593 | − | 320.056i | 1.48198 | − | 0.613134i | ||||
\(523\) | −549.045 | − | 279.752i | −1.04980 | − | 0.534899i | −0.158051 | − | 0.987431i | \(-0.550521\pi\) |
−0.891748 | + | 0.452532i | \(0.850521\pi\) | |||||||
\(524\) | 606.729 | − | 25.1213i | 1.15788 | − | 0.0479414i | ||||
\(525\) | 674.480 | − | 35.7282i | 1.28472 | − | 0.0680538i | ||||
\(526\) | −43.3402 | + | 45.1718i | −0.0823959 | + | 0.0858780i | ||||
\(527\) | −374.759 | − | 190.949i | −0.711117 | − | 0.362332i | ||||
\(528\) | −272.213 | − | 55.9406i | −0.515556 | − | 0.105948i | ||||
\(529\) | 186.241 | + | 256.339i | 0.352063 | + | 0.484573i | ||||
\(530\) | −142.529 | + | 130.050i | −0.268922 | + | 0.245378i | ||||
\(531\) | −138.205 | − | 168.909i | −0.260273 | − | 0.318097i | ||||
\(532\) | −594.379 | − | 547.116i | −1.11725 | − | 1.02841i | ||||
\(533\) | 110.443 | − | 17.4925i | 0.207210 | − | 0.0328189i | ||||
\(534\) | −145.171 | − | 381.547i | −0.271856 | − | 0.714507i | ||||
\(535\) | 559.973 | + | 127.290i | 1.04668 | + | 0.237926i | ||||
\(536\) | 36.6563 | + | 15.8957i | 0.0683886 | + | 0.0296562i | ||||
\(537\) | 14.0393 | + | 39.3283i | 0.0261439 | + | 0.0732371i | ||||
\(538\) | −31.8587 | − | 9.62754i | −0.0592170 | − | 0.0178951i | ||||
\(539\) | 176.763 | − | 57.4338i | 0.327946 | − | 0.106556i | ||||
\(540\) | −197.914 | − | 502.424i | −0.366508 | − | 0.930415i | ||||
\(541\) | 28.2679 | − | 86.9998i | 0.0522513 | − | 0.160813i | −0.921526 | − | 0.388317i | \(-0.873057\pi\) |
0.973777 | + | 0.227504i | \(0.0730565\pi\) | |||||||
\(542\) | 37.4223 | + | 26.0232i | 0.0690448 | + | 0.0480134i | ||||
\(543\) | −381.092 | − | 494.048i | −0.701826 | − | 0.909849i | ||||
\(544\) | 395.318 | − | 105.388i | 0.726688 | − | 0.193728i | ||||
\(545\) | −179.427 | − | 709.430i | −0.329223 | − | 1.30171i | ||||
\(546\) | −249.485 | − | 67.6395i | −0.456932 | − | 0.123882i | ||||
\(547\) | 1003.53 | + | 158.943i | 1.83461 | + | 0.290573i | 0.975299 | − | 0.220889i | \(-0.0708957\pi\) |
0.859306 | + | 0.511461i | \(0.170896\pi\) | |||||||
\(548\) | 70.4829 | − | 153.742i | 0.128618 | − | 0.280551i | ||||
\(549\) | 153.532 | − | 584.844i | 0.279658 | − | 1.06529i | ||||
\(550\) | 283.597 | − | 58.0713i | 0.515630 | − | 0.105584i | ||||
\(551\) | 1043.05 | 1.89301 | ||||||||
\(552\) | 85.7618 | + | 338.883i | 0.155366 | + | 0.613919i | ||||
\(553\) | 843.633 | + | 133.618i | 1.52556 | + | 0.241624i | ||||
\(554\) | −805.165 | − | 110.502i | −1.45337 | − | 0.199462i | ||||
\(555\) | 722.267 | − | 669.736i | 1.30138 | − | 1.20673i | ||||
\(556\) | 194.236 | + | 129.192i | 0.349346 | + | 0.232360i | ||||
\(557\) | −755.723 | − | 755.723i | −1.35677 | − | 1.35677i | −0.877863 | − | 0.478911i | \(-0.841032\pi\) |
−0.478911 | − | 0.877863i | \(-0.658968\pi\) | |||||||
\(558\) | −450.440 | + | 384.389i | −0.807241 | + | 0.688868i | ||||
\(559\) | −91.9019 | + | 282.845i | −0.164404 | + | 0.505984i | ||||
\(560\) | 647.183 | + | 316.557i | 1.15568 | + | 0.565280i | ||||
\(561\) | 218.242 | − | 41.0217i | 0.389023 | − | 0.0731224i | ||||
\(562\) | 309.929 | − | 1025.59i | 0.551474 | − | 1.82490i | ||||
\(563\) | −161.324 | + | 82.1989i | −0.286544 | + | 0.146002i | −0.591355 | − | 0.806411i | \(-0.701407\pi\) |
0.304811 | + | 0.952413i | \(0.401407\pi\) | |||||||
\(564\) | −191.983 | − | 830.491i | −0.340395 | − | 1.47250i | ||||
\(565\) | 180.986 | − | 303.528i | 0.320330 | − | 0.537218i | ||||
\(566\) | 353.871 | − | 189.628i | 0.625214 | − | 0.335032i | ||||
\(567\) | 254.491 | − | 683.627i | 0.448838 | − | 1.20569i | ||||
\(568\) | 22.5232 | + | 362.395i | 0.0396536 | + | 0.638020i | ||||
\(569\) | 847.779 | + | 615.948i | 1.48995 | + | 1.08251i | 0.974178 | + | 0.225781i | \(0.0724934\pi\) |
0.515768 | + | 0.856728i | \(0.327507\pi\) | |||||||
\(570\) | 11.4570 | − | 672.687i | 0.0200999 | − | 1.18015i | ||||
\(571\) | 144.125 | + | 198.371i | 0.252408 | + | 0.347410i | 0.916353 | − | 0.400372i | \(-0.131119\pi\) |
−0.663945 | + | 0.747782i | \(0.731119\pi\) | |||||||
\(572\) | −110.046 | − | 12.7894i | −0.192389 | − | 0.0223590i | ||||
\(573\) | 135.822 | − | 198.700i | 0.237037 | − | 0.346772i | ||||
\(574\) | −303.790 | − | 291.472i | −0.529251 | − | 0.507791i | ||||
\(575\) | −221.099 | − | 289.323i | −0.384519 | − | 0.503170i | ||||
\(576\) | 76.1444 | − | 570.945i | 0.132195 | − | 0.991224i | ||||
\(577\) | −454.042 | − | 231.346i | −0.786901 | − | 0.400946i | 0.0138798 | − | 0.999904i | \(-0.495582\pi\) |
−0.800781 | + | 0.598958i | \(0.795582\pi\) | |||||||
\(578\) | 200.031 | − | 151.752i | 0.346074 | − | 0.262547i | ||||
\(579\) | −170.549 | − | 312.222i | −0.294559 | − | 0.539243i | ||||
\(580\) | −891.604 | + | 265.195i | −1.53725 | + | 0.457233i | ||||
\(581\) | −537.800 | + | 740.218i | −0.925646 | + | 1.27404i | ||||
\(582\) | −99.4952 | + | 920.481i | −0.170954 | + | 1.58158i | ||||
\(583\) | −110.332 | + | 17.4749i | −0.189249 | + | 0.0299741i | ||||
\(584\) | −225.540 | − | 382.030i | −0.386199 | − | 0.654162i | ||||
\(585\) | −96.0014 | − | 192.683i | −0.164105 | − | 0.329372i | ||||
\(586\) | −299.132 | + | 618.385i | −0.510465 | + | 1.05526i | ||||
\(587\) | 264.176 | + | 518.475i | 0.450045 | + | 0.883263i | 0.998879 | + | 0.0473315i | \(0.0150717\pi\) |
−0.548835 | + | 0.835931i | \(0.684928\pi\) | |||||||
\(588\) | 144.410 | + | 357.134i | 0.245595 | + | 0.607371i | ||||
\(589\) | −701.659 | + | 227.983i | −1.19127 | + | 0.387068i | ||||
\(590\) | 133.414 | + | 202.495i | 0.226126 | + | 0.343213i | ||||
\(591\) | 656.755 | + | 311.213i | 1.11126 | + | 0.526588i | ||||
\(592\) | 1020.59 | − | 249.583i | 1.72397 | − | 0.421593i | ||||
\(593\) | 38.1505 | − | 38.1505i | 0.0643347 | − | 0.0643347i | −0.674207 | − | 0.738542i | \(-0.735515\pi\) |
0.738542 | + | 0.674207i | \(0.235515\pi\) | |||||||
\(594\) | 64.3527 | − | 305.945i | 0.108338 | − | 0.515059i | ||||
\(595\) | −574.425 | − | 38.2194i | −0.965419 | − | 0.0642343i | ||||
\(596\) | −205.261 | + | 162.519i | −0.344398 | + | 0.272683i | ||||
\(597\) | 242.189 | + | 71.0718i | 0.405677 | + | 0.119048i | ||||
\(598\) | 45.7964 | + | 131.617i | 0.0765826 | + | 0.220095i | ||||
\(599\) | 65.6675i | 0.109629i | 0.998497 | + | 0.0548143i | \(0.0174567\pi\) | ||||
−0.998497 | + | 0.0548143i | \(0.982543\pi\) | |||||||
\(600\) | 161.237 | + | 577.930i | 0.268729 | + | 0.963216i | ||||
\(601\) | 48.1154 | 0.0800590 | 0.0400295 | − | 0.999198i | \(-0.487255\pi\) | ||||
0.0400295 | + | 0.999198i | \(0.487255\pi\) | |||||||
\(602\) | 1057.53 | − | 367.970i | 1.75670 | − | 0.611247i | ||||
\(603\) | −18.0737 | + | 41.1549i | −0.0299730 | + | 0.0682503i | ||||
\(604\) | −551.740 | − | 696.848i | −0.913476 | − | 1.15372i | ||||
\(605\) | −406.102 | − | 162.483i | −0.671243 | − | 0.268568i | ||||
\(606\) | 13.1787 | + | 266.519i | 0.0217470 | + | 0.439800i | ||||
\(607\) | −47.1662 | − | 47.1662i | −0.0777037 | − | 0.0777037i | 0.667187 | − | 0.744890i | \(-0.267498\pi\) |
−0.744890 | + | 0.667187i | \(0.767498\pi\) | |||||||
\(608\) | 359.606 | − | 621.036i | 0.591457 | − | 1.02144i | ||||
\(609\) | −1135.53 | − | 538.089i | −1.86458 | − | 0.883562i | ||||
\(610\) | −236.615 | + | 628.800i | −0.387893 | + | 1.03082i | ||||
\(611\) | −105.007 | − | 323.179i | −0.171861 | − | 0.528935i | ||||
\(612\) | 116.498 | + | 445.278i | 0.190356 | + | 0.727578i | ||||
\(613\) | −651.014 | + | 331.708i | −1.06201 | + | 0.541123i | −0.895566 | − | 0.444928i | \(-0.853229\pi\) |
−0.166446 | + | 0.986050i | \(0.553229\pi\) | |||||||
\(614\) | −281.233 | − | 136.041i | −0.458034 | − | 0.221566i | ||||
\(615\) | 13.2222 | − | 350.366i | 0.0214995 | − | 0.569701i | ||||
\(616\) | 212.056 | + | 359.190i | 0.344247 | + | 0.583101i | ||||
\(617\) | 42.0934 | + | 265.767i | 0.0682227 | + | 0.430741i | 0.998032 | + | 0.0627006i | \(0.0199713\pi\) |
−0.929810 | + | 0.368041i | \(0.880029\pi\) | |||||||
\(618\) | −0.133189 | + | 1.23220i | −0.000215516 | + | 0.00199385i | ||||
\(619\) | 496.053 | + | 360.403i | 0.801378 | + | 0.582235i | 0.911318 | − | 0.411703i | \(-0.135066\pi\) |
−0.109940 | + | 0.993938i | \(0.535066\pi\) | |||||||
\(620\) | 541.817 | − | 373.278i | 0.873899 | − | 0.602061i | ||||
\(621\) | −381.687 | + | 94.7129i | −0.614633 | + | 0.152517i | ||||
\(622\) | −615.708 | − | 811.592i | −0.989884 | − | 1.30481i | ||||
\(623\) | −278.175 | + | 545.949i | −0.446508 | + | 0.876322i | ||||
\(624\) | 10.4676 | − | 229.387i | 0.0167750 | − | 0.367607i | ||||
\(625\) | −391.404 | − | 487.266i | −0.626246 | − | 0.779625i | ||||
\(626\) | 166.170 | − | 173.192i | 0.265447 | − | 0.276665i | ||||
\(627\) | 219.810 | − | 321.570i | 0.350574 | − | 0.512870i | ||||
\(628\) | −81.8089 | + | 703.927i | −0.130269 | + | 1.12090i | ||||
\(629\) | −679.214 | + | 493.478i | −1.07983 | + | 0.784543i | ||||
\(630\) | −359.499 | + | 726.421i | −0.570634 | + | 1.15305i | ||||
\(631\) | −81.6104 | + | 112.327i | −0.129335 | + | 0.178014i | −0.868773 | − | 0.495210i | \(-0.835091\pi\) |
0.739438 | + | 0.673224i | \(0.235091\pi\) | |||||||
\(632\) | 47.0672 | + | 757.304i | 0.0744734 | + | 1.19827i | ||||
\(633\) | 714.013 | − | 20.5098i | 1.12798 | − | 0.0324010i | ||||
\(634\) | 556.867 | + | 1039.19i | 0.878339 | + | 1.63909i | ||||
\(635\) | 851.443 | − | 77.3889i | 1.34085 | − | 0.121872i | ||||
\(636\) | −52.1478 | − | 225.584i | −0.0819934 | − | 0.354692i | ||||
\(637\) | 69.7204 | + | 136.834i | 0.109451 | + | 0.214810i | ||||
\(638\) | −515.530 | − | 155.790i | −0.808040 | − | 0.244185i | ||||
\(639\) | −407.808 | + | 23.4477i | −0.638197 | + | 0.0366943i | ||||
\(640\) | −149.495 | + | 622.295i | −0.233586 | + | 0.972336i | ||||
\(641\) | −668.304 | − | 217.145i | −1.04260 | − | 0.338760i | −0.262837 | − | 0.964840i | \(-0.584658\pi\) |
−0.779759 | + | 0.626080i | \(0.784658\pi\) | |||||||
\(642\) | −462.615 | + | 510.745i | −0.720584 | + | 0.795553i | ||||
\(643\) | −172.680 | + | 172.680i | −0.268554 | + | 0.268554i | −0.828517 | − | 0.559964i | \(-0.810815\pi\) |
0.559964 | + | 0.828517i | \(0.310815\pi\) | |||||||
\(644\) | 290.575 | − | 436.870i | 0.451204 | − | 0.678370i | ||||
\(645\) | 814.318 | + | 454.384i | 1.26251 | + | 0.704471i | ||||
\(646\) | −77.9693 | + | 568.118i | −0.120695 | + | 0.879440i | ||||
\(647\) | 72.6485 | − | 458.685i | 0.112285 | − | 0.708941i | −0.865746 | − | 0.500483i | \(-0.833156\pi\) |
0.978031 | − | 0.208458i | \(-0.0668443\pi\) | |||||||
\(648\) | 641.909 | + | 88.6403i | 0.990600 | + | 0.136791i | ||||
\(649\) | 140.395i | 0.216326i | ||||||||
\(650\) | 84.0500 | + | 223.940i | 0.129308 | + | 0.344523i | ||||
\(651\) | 881.485 | + | 113.775i | 1.35405 | + | 0.174770i | ||||
\(652\) | −528.059 | − | 242.088i | −0.809906 | − | 0.371301i | ||||
\(653\) | 25.9869 | − | 164.075i | 0.0397961 | − | 0.251263i | −0.959768 | − | 0.280795i | \(-0.909402\pi\) |
0.999564 | + | 0.0295324i | \(0.00940182\pi\) | |||||||
\(654\) | 847.526 | + | 229.778i | 1.29591 | + | 0.351343i | ||||
\(655\) | 50.3928 | − | 757.387i | 0.0769356 | − | 1.15632i | ||||
\(656\) | 194.061 | − | 319.701i | 0.295825 | − | 0.487349i | ||||
\(657\) | 430.956 | − | 251.737i | 0.655946 | − | 0.383161i | ||||
\(658\) | −730.434 | + | 1050.39i | −1.11008 | + | 1.59634i | ||||
\(659\) | −121.884 | − | 39.6024i | −0.184952 | − | 0.0600946i | 0.215077 | − | 0.976597i | \(-0.431000\pi\) |
−0.400029 | + | 0.916503i | \(0.631000\pi\) | |||||||
\(660\) | −106.136 | + | 330.766i | −0.160811 | + | 0.501161i | ||||
\(661\) | 15.4496 | + | 47.5491i | 0.0233731 | + | 0.0719351i | 0.962063 | − | 0.272828i | \(-0.0879591\pi\) |
−0.938690 | + | 0.344763i | \(0.887959\pi\) | |||||||
\(662\) | 118.248 | − | 391.296i | 0.178622 | − | 0.591082i | ||||
\(663\) | 61.6879 | + | 172.807i | 0.0930436 | + | 0.260644i | ||||
\(664\) | −745.692 | − | 323.363i | −1.12303 | − | 0.486993i | ||||
\(665\) | −759.875 | + | 665.066i | −1.14267 | + | 1.00010i | ||||
\(666\) | 275.453 | + | 1149.45i | 0.413593 | + | 1.72590i | ||||
\(667\) | 105.974 | + | 669.096i | 0.158882 | + | 1.00314i | ||||
\(668\) | −522.097 | + | 567.199i | −0.781583 | + | 0.849100i | ||||
\(669\) | 326.285 | + | 308.063i | 0.487720 | + | 0.460483i | ||||
\(670\) | 24.6849 | − | 43.4161i | 0.0368432 | − | 0.0648002i | ||||
\(671\) | −314.686 | + | 228.633i | −0.468980 | + | 0.340734i | ||||
\(672\) | −711.872 | + | 490.587i | −1.05933 | + | 0.730041i | ||||
\(673\) | 271.806 | − | 533.450i | 0.403873 | − | 0.792645i | −0.596074 | − | 0.802929i | \(-0.703274\pi\) |
0.999947 | + | 0.0102844i | \(0.00327368\pi\) | |||||||
\(674\) | 190.680 | + | 182.948i | 0.282908 | + | 0.271436i | ||||
\(675\) | −651.005 | + | 178.375i | −0.964452 | + | 0.264259i | ||||
\(676\) | 24.1785 | + | 583.958i | 0.0357669 | + | 0.863844i | ||||
\(677\) | −385.664 | + | 756.908i | −0.569666 | + | 1.11803i | 0.408992 | + | 0.912538i | \(0.365880\pi\) |
−0.978658 | + | 0.205495i | \(0.934120\pi\) | |||||||
\(678\) | 210.950 | + | 367.880i | 0.311135 | + | 0.542595i | ||||
\(679\) | 1124.24 | − | 816.810i | 1.65573 | − | 1.20296i | ||||
\(680\) | −77.7955 | − | 505.454i | −0.114405 | − | 0.743315i | ||||
\(681\) | −877.958 | − | 828.928i | −1.28922 | − | 1.21722i | ||||
\(682\) | 380.849 | − | 7.88103i | 0.558429 | − | 0.0115558i | ||||
\(683\) | 16.1107 | + | 101.719i | 0.0235881 | + | 0.148929i | 0.996671 | − | 0.0815245i | \(-0.0259789\pi\) |
−0.973083 | + | 0.230454i | \(0.925979\pi\) | |||||||
\(684\) | 696.782 | + | 407.792i | 1.01869 | + | 0.596188i | ||||
\(685\) | −181.581 | − | 108.272i | −0.265081 | − | 0.158061i | ||||
\(686\) | −132.533 | + | 273.981i | −0.193197 | + | 0.399389i | ||||
\(687\) | 92.1569 | + | 258.160i | 0.134144 | + | 0.375778i | ||||
\(688\) | 523.295 | + | 845.902i | 0.760602 | + | 1.22951i | ||||
\(689\) | −28.5229 | − | 87.7843i | −0.0413975 | − | 0.127408i | ||||
\(690\) | 432.680 | − | 60.9960i | 0.627073 | − | 0.0884000i | ||||
\(691\) | −243.579 | − | 79.1437i | −0.352503 | − | 0.114535i | 0.127413 | − | 0.991850i | \(-0.459333\pi\) |
−0.479916 | + | 0.877315i | \(0.659333\pi\) | |||||||
\(692\) | −816.125 | + | 164.129i | −1.17937 | + | 0.237181i | ||||
\(693\) | −405.191 | + | 236.686i | −0.584692 | + | 0.341539i | ||||
\(694\) | 156.654 | + | 871.917i | 0.225727 | + | 1.25636i | ||||
\(695\) | 186.680 | − | 224.008i | 0.268604 | − | 0.322313i | ||||
\(696\) | 247.270 | − | 1088.52i | 0.355272 | − | 1.56396i | ||||
\(697\) | −46.7497 | + | 295.166i | −0.0670727 | + | 0.423480i | ||||
\(698\) | 117.196 | + | 336.815i | 0.167902 | + | 0.482543i | ||||
\(699\) | −195.669 | − | 25.2555i | −0.279927 | − | 0.0361309i | ||||
\(700\) | 480.452 | − | 761.700i | 0.686360 | − | 1.08814i | ||||
\(701\) | 519.141i | 0.740572i | 0.928918 | + | 0.370286i | \(0.120740\pi\) | ||||
−0.928918 | + | 0.370286i | \(0.879260\pi\) | |||||||
\(702\) | 258.003 | + | 12.9727i | 0.367525 | + | 0.0184796i | ||||
\(703\) | −230.372 | + | 1454.51i | −0.327699 | + | 2.06901i | ||||
\(704\) | −270.495 | + | 253.238i | −0.384225 | + | 0.359713i | ||||
\(705\) | −1057.91 | + | 126.874i | −1.50058 | + | 0.179964i | ||||
\(706\) | 34.9850 | + | 194.722i | 0.0495538 | + | 0.275810i | ||||
\(707\) | 283.210 | − | 283.210i | 0.400579 | − | 0.400579i | ||||
\(708\) | −290.279 | + | 20.3813i | −0.409999 | + | 0.0287871i | ||||
\(709\) | −426.503 | − | 138.579i | −0.601556 | − | 0.195457i | −0.00762174 | − | 0.999971i | \(-0.502426\pi\) |
−0.593934 | + | 0.804514i | \(0.702426\pi\) | |||||||
\(710\) | 453.393 | + | 20.7558i | 0.638582 | + | 0.0292335i | ||||
\(711\) | −852.203 | + | 48.9990i | −1.19860 | + | 0.0689156i | ||||
\(712\) | −527.104 | − | 135.765i | −0.740315 | − | 0.190681i | ||||
\(713\) | −217.536 | − | 426.938i | −0.305099 | − | 0.598791i | ||||
\(714\) | 377.964 | − | 578.268i | 0.529361 | − | 0.809900i | ||||
\(715\) | −30.6964 | + | 135.039i | −0.0429320 | + | 0.188866i | ||||
\(716\) | 53.6201 | + | 15.0003i | 0.0748884 | + | 0.0209502i | ||||
\(717\) | 890.961 | − | 25.5926i | 1.24262 | − | 0.0356940i | ||||
\(718\) | 397.108 | − | 8.21750i | 0.553076 | − | 0.0114450i | ||||
\(719\) | 76.8507 | − | 105.776i | 0.106886 | − | 0.147115i | −0.752223 | − | 0.658908i | \(-0.771019\pi\) |
0.859109 | + | 0.511793i | \(0.171019\pi\) | |||||||
\(720\) | −699.295 | − | 171.426i | −0.971243 | − | 0.238092i | ||||
\(721\) | 1.50496 | − | 1.09342i | 0.00208733 | − | 0.00151653i | ||||
\(722\) | 171.567 | + | 226.150i | 0.237627 | + | 0.313227i | ||||
\(723\) | −137.952 | + | 201.816i | −0.190805 | + | 0.279138i | ||||
\(724\) | −831.222 | + | 34.4163i | −1.14810 | + | 0.0475363i | ||||
\(725\) | 209.638 | + | 1143.70i | 0.289156 | + | 1.57752i | ||||
\(726\) | 408.883 | − | 329.113i | 0.563200 | − | 0.453323i | ||||
\(727\) | 584.940 | − | 1148.01i | 0.804594 | − | 1.57910i | −0.0106191 | − | 0.999944i | \(-0.503380\pi\) |
0.815213 | − | 0.579161i | \(-0.196620\pi\) | |||||||
\(728\) | −265.729 | + | 219.490i | −0.365012 | + | 0.301497i | ||||
\(729\) | −103.068 | + | 721.677i | −0.141383 | + | 0.989955i | ||||
\(730\) | −505.103 | + | 228.901i | −0.691922 | + | 0.313562i | ||||
\(731\) | −643.023 | − | 467.184i | −0.879649 | − | 0.639102i | ||||
\(732\) | −518.400 | − | 617.448i | −0.708197 | − | 0.843509i | ||||
\(733\) | −223.100 | − | 1408.60i | −0.304366 | − | 1.92169i | −0.380887 | − | 0.924621i | \(-0.624381\pi\) |
0.0765217 | − | 0.997068i | \(-0.475619\pi\) | |||||||
\(734\) | 143.721 | + | 268.201i | 0.195805 | + | 0.365396i | ||||
\(735\) | 463.251 | − | 131.425i | 0.630273 | − | 0.178810i | ||||
\(736\) | 434.919 | + | 167.583i | 0.590923 | + | 0.227694i | ||||
\(737\) | 25.7636 | − | 13.1272i | 0.0349574 | − | 0.0178117i | ||||
\(738\) | 358.647 | + | 219.985i | 0.485972 | + | 0.298082i | ||||
\(739\) | 349.131 | + | 1074.51i | 0.472437 | + | 1.45401i | 0.849383 | + | 0.527776i | \(0.176974\pi\) |
−0.376947 | + | 0.926235i | \(0.623026\pi\) | |||||||
\(740\) | −172.886 | − | 1301.90i | −0.233630 | − | 1.75932i | ||||
\(741\) | 290.848 | + | 137.823i | 0.392508 | + | 0.185996i | ||||
\(742\) | −198.406 | + | 285.314i | −0.267393 | + | 0.384521i | ||||
\(743\) | 832.318 | + | 832.318i | 1.12021 | + | 1.12021i | 0.991709 | + | 0.128504i | \(0.0410175\pi\) |
0.128504 | + | 0.991709i | \(0.458983\pi\) | |||||||
\(744\) | 71.5827 | + | 786.292i | 0.0962133 | + | 1.05684i | ||||
\(745\) | 174.359 | + | 276.948i | 0.234039 | + | 0.371742i | ||||
\(746\) | −196.156 | + | 1429.27i | −0.262943 | + | 1.91592i | ||||
\(747\) | 367.670 | − | 837.207i | 0.492196 | − | 1.12076i | ||||
\(748\) | 123.391 | − | 269.149i | 0.164961 | − | 0.359824i | ||||
\(749\) | 1034.32 | 1.38093 | ||||||||
\(750\) | 739.905 | − | 122.638i | 0.986540 | − | 0.163517i | ||||
\(751\) | − | 425.959i | − | 0.567189i | −0.958944 | − | 0.283595i | \(-0.908473\pi\) | ||
0.958944 | − | 0.283595i | \(-0.0915270\pi\) | |||||||
\(752\) | −1051.84 | − | 430.492i | −1.39872 | − | 0.572463i | ||||
\(753\) | −393.705 | − | 115.535i | −0.522849 | − | 0.153433i | ||||
\(754\) | 60.5050 | − | 440.866i | 0.0802454 | − | 0.584703i | ||||
\(755\) | −940.217 | + | 591.936i | −1.24532 | + | 0.784021i | ||||
\(756\) | −548.191 | − | 803.407i | −0.725120 | − | 1.06271i | ||||
\(757\) | −872.355 | + | 872.355i | −1.15238 | + | 1.15238i | −0.166311 | + | 0.986073i | \(0.553186\pi\) |
−0.986073 | + | 0.166311i | \(0.946814\pi\) | |||||||
\(758\) | −290.688 | + | 418.018i | −0.383493 | + | 0.551476i | ||||
\(759\) | 228.614 | + | 108.332i | 0.301204 | + | 0.142730i | ||||
\(760\) | −723.416 | − | 530.434i | −0.951864 | − | 0.697939i | ||||
\(761\) | −529.506 | + | 172.047i | −0.695803 | + | 0.226080i | −0.635501 | − | 0.772100i | \(-0.719206\pi\) |
−0.0603021 | + | 0.998180i | \(0.519206\pi\) | |||||||
\(762\) | −420.054 | + | 936.009i | −0.551252 | + | 1.22836i | ||||
\(763\) | −598.365 | − | 1174.36i | −0.784227 | − | 1.53913i | ||||
\(764\) | −111.709 | − | 300.843i | −0.146216 | − | 0.393774i | ||||
\(765\) | 569.036 | − | 84.8819i | 0.743838 | − | 0.110957i | ||||
\(766\) | −314.009 | − | 585.981i | −0.409934 | − | 0.764989i | ||||
\(767\) | −114.578 | + | 18.1474i | −0.149385 | + | 0.0236602i | ||||
\(768\) | −562.859 | − | 522.508i | −0.732889 | − | 0.680348i | ||||
\(769\) | 435.777 | − | 599.795i | 0.566680 | − | 0.779968i | −0.425477 | − | 0.904969i | \(-0.639894\pi\) |
0.992157 | + | 0.125001i | \(0.0398935\pi\) | |||||||
\(770\) | 474.905 | − | 215.216i | 0.616760 | − | 0.279501i | ||||
\(771\) | −121.327 | − | 222.112i | −0.157364 | − | 0.288082i | ||||
\(772\) | −471.183 | − | 54.7599i | −0.610341 | − | 0.0709325i | ||||
\(773\) | −1055.67 | − | 537.888i | −1.36567 | − | 0.695845i | −0.391191 | − | 0.920310i | \(-0.627937\pi\) |
−0.974482 | + | 0.224465i | \(0.927937\pi\) | |||||||
\(774\) | −954.360 | + | 584.287i | −1.23302 | + | 0.754892i | ||||
\(775\) | −391.007 | − | 723.549i | −0.504525 | − | 0.933612i | ||||
\(776\) | 925.359 | + | 817.065i | 1.19247 | + | 1.05292i | ||||
\(777\) | 1001.15 | − | 1464.63i | 1.28849 | − | 1.88499i | ||||
\(778\) | −541.600 | − | 713.908i | −0.696144 | − | 0.917619i | ||||
\(779\) | 308.115 | + | 424.084i | 0.395527 | + | 0.544396i | ||||
\(780\) | −283.660 | − | 43.8637i | −0.363667 | − | 0.0562355i | ||||
\(781\) | 212.588 | + | 154.454i | 0.272199 | + | 0.197764i | ||||
\(782\) | −372.359 | + | 7.70535i | −0.476162 | + | 0.00985339i | ||||
\(783\) | 1223.28 | + | 283.854i | 1.56230 | + | 0.362521i | ||||
\(784\) | 499.945 | + | 117.796i | 0.637685 | + | 0.150250i | ||||
\(785\) | 863.795 | + | 196.354i | 1.10038 | + | 0.250132i | ||||
\(786\) | 762.455 | + | 498.351i | 0.970044 | + | 0.634034i | ||||
\(787\) | 46.1333 | − | 23.5061i | 0.0586191 | − | 0.0298679i | −0.424435 | − | 0.905458i | \(-0.639527\pi\) |
0.483054 | + | 0.875590i | \(0.339527\pi\) | |||||||
\(788\) | 844.460 | − | 475.265i | 1.07165 | − | 0.603128i | ||||
\(789\) | −92.2852 | + | 17.3463i | −0.116965 | + | 0.0219852i | ||||
\(790\) | 947.464 | + | 43.3737i | 1.19932 | + | 0.0549034i | ||||
\(791\) | 196.691 | − | 605.353i | 0.248661 | − | 0.765301i | ||||
\(792\) | −283.479 | − | 305.624i | −0.357927 | − | 0.385889i | ||||
\(793\) | −227.265 | − | 227.265i | −0.286589 | − | 0.286589i | ||||
\(794\) | −5.89087 | − | 32.7878i | −0.00741923 | − | 0.0412944i | ||||
\(795\) | −287.357 | + | 34.4626i | −0.361456 | + | 0.0433491i | ||||
\(796\) | 263.847 | − | 208.905i | 0.331466 | − | 0.262443i | ||||
\(797\) | 147.541 | + | 23.3681i | 0.185120 | + | 0.0293201i | 0.248306 | − | 0.968682i | \(-0.420126\pi\) |
−0.0631861 | + | 0.998002i | \(0.520126\pi\) | |||||||
\(798\) | −248.441 | − | 1186.03i | −0.311330 | − | 1.48626i | ||||
\(799\) | 908.164 | 1.13663 | ||||||||
\(800\) | 753.243 | + | 269.489i | 0.941554 | + | 0.336862i | ||||
\(801\) | 155.484 | − | 592.278i | 0.194112 | − | 0.739423i | ||||
\(802\) | 315.211 | + | 905.902i | 0.393031 | + | 1.12955i | ||||
\(803\) | −317.110 | − | 50.2253i | −0.394907 | − | 0.0625471i | ||||
\(804\) | 30.8817 | + | 51.3627i | 0.0384101 | + | 0.0638839i | ||||
\(805\) | −503.831 | − | 419.874i | −0.625877 | − | 0.521583i | ||||
\(806\) | 55.6599 | + | 309.795i | 0.0690570 | + | 0.384362i | ||||
\(807\) | −30.4913 | − | 39.5290i | −0.0377835 | − | 0.0489826i | ||||
\(808\) | 300.260 | + | 190.872i | 0.371609 | + | 0.236227i | ||||
\(809\) | −402.086 | + | 1237.49i | −0.497016 | + | 1.52966i | 0.316776 | + | 0.948500i | \(0.397400\pi\) |
−0.813792 | + | 0.581157i | \(0.802600\pi\) | |||||||
\(810\) | 196.501 | − | 785.804i | 0.242594 | − | 0.970128i | ||||
\(811\) | 759.582 | − | 246.803i | 0.936599 | − | 0.304320i | 0.199341 | − | 0.979930i | \(-0.436120\pi\) |
0.737259 | + | 0.675611i | \(0.236120\pi\) | |||||||
\(812\) | −1460.07 | + | 821.734i | −1.79812 | + | 1.01199i | ||||
\(813\) | 22.9864 | + | 64.3919i | 0.0282735 | + | 0.0792028i | ||||
\(814\) | 331.109 | − | 684.489i | 0.406768 | − | 0.840895i | ||||
\(815\) | −371.883 | + | 623.677i | −0.456298 | + | 0.765248i | ||||
\(816\) | 574.400 | + | 216.049i | 0.703921 | + | 0.264766i | ||||
\(817\) | −1377.01 | + | 218.097i | −1.68545 | + | 0.266949i | ||||
\(818\) | −663.559 | + | 13.7313i | −0.811197 | + | 0.0167864i | ||||
\(819\) | −245.537 | − | 300.087i | −0.299801 | − | 0.366406i | ||||
\(820\) | −371.202 | − | 284.172i | −0.452686 | − | 0.346551i | ||||
\(821\) | 293.217 | + | 403.579i | 0.357147 | + | 0.491570i | 0.949351 | − | 0.314218i | \(-0.101742\pi\) |
−0.592204 | + | 0.805788i | \(0.701742\pi\) | |||||||
\(822\) | 220.078 | − | 126.197i | 0.267735 | − | 0.153524i | ||||
\(823\) | −1128.80 | − | 575.150i | −1.37156 | − | 0.698846i | −0.395935 | − | 0.918279i | \(-0.629579\pi\) |
−0.975628 | + | 0.219433i | \(0.929579\pi\) | |||||||
\(824\) | 1.23873 | + | 1.09376i | 0.00150331 | + | 0.00132738i | ||||
\(825\) | 396.781 | + | 176.391i | 0.480946 | + | 0.213807i | ||||
\(826\) | 315.164 | + | 302.384i | 0.381554 | + | 0.366083i | ||||
\(827\) | 1138.19 | + | 579.936i | 1.37629 | + | 0.701252i | 0.976532 | − | 0.215371i | \(-0.0690959\pi\) |
0.399753 | + | 0.916623i | \(0.369096\pi\) | |||||||
\(828\) | −190.798 | + | 488.405i | −0.230432 | + | 0.589861i | ||||
\(829\) | 605.563 | + | 833.486i | 0.730474 | + | 1.00541i | 0.999110 | + | 0.0421693i | \(0.0134269\pi\) |
−0.268637 | + | 0.963242i | \(0.586573\pi\) | |||||||
\(830\) | −502.161 | + | 883.206i | −0.605013 | + | 1.06410i | ||||
\(831\) | −886.407 | − | 836.905i | −1.06668 | − | 1.00711i | ||||
\(832\) | −241.634 | − | 188.020i | −0.290425 | − | 0.225985i | ||||
\(833\) | −405.378 | + | 64.2056i | −0.486648 | + | 0.0770775i | ||||
\(834\) | 124.434 | + | 327.044i | 0.149201 | + | 0.392139i | ||||
\(835\) | 634.654 | + | 725.127i | 0.760064 | + | 0.868415i | ||||
\(836\) | −180.786 | − | 486.875i | −0.216251 | − | 0.582386i | ||||
\(837\) | −884.943 | + | 76.4274i | −1.05728 | + | 0.0913111i | ||||
\(838\) | −267.890 | + | 886.483i | −0.319678 | + | 1.05786i | ||||
\(839\) | −565.854 | + | 183.857i | −0.674439 | + | 0.219138i | −0.626159 | − | 0.779695i | \(-0.715374\pi\) |
−0.0482797 | + | 0.998834i | \(0.515374\pi\) | |||||||
\(840\) | 513.918 | + | 950.663i | 0.611808 | + | 1.13174i | ||||
\(841\) | 408.586 | − | 1257.50i | 0.485834 | − | 1.49524i | ||||
\(842\) | −328.904 | + | 472.975i | −0.390623 | + | 0.561728i | ||||
\(843\) | 1272.51 | − | 981.571i | 1.50950 | − | 1.16438i | ||||
\(844\) | 527.458 | − | 793.016i | 0.624950 | − | 0.939592i | ||||
\(845\) | 728.961 | + | 48.5015i | 0.862676 | + | 0.0573983i | ||||
\(846\) | 489.786 | − | 1181.06i | 0.578943 | − | 1.39605i | ||||
\(847\) | −778.119 | − | 123.242i | −0.918677 | − | 0.145504i | ||||
\(848\) | −285.708 | − | 116.933i | −0.336920 | − | 0.137893i | ||||
\(849\) | 597.260 | + | 77.0899i | 0.703487 | + | 0.0908008i | ||||
\(850\) | −638.613 | + | 28.6902i | −0.751310 | + | 0.0337532i | ||||
\(851\) | −956.449 | −1.12391 | ||||||||
\(852\) | −288.485 | + | 461.965i | −0.338597 | + | 0.542212i | ||||
\(853\) | 876.257 | + | 138.785i | 1.02726 | + | 0.162703i | 0.647250 | − | 0.762278i | \(-0.275919\pi\) |
0.380015 | + | 0.924981i | \(0.375919\pi\) | |||||||
\(854\) | −164.531 | + | 1198.85i | −0.192659 | + | 1.40380i | ||||
\(855\) | 600.506 | − | 811.067i | 0.702346 | − | 0.948617i | ||||
\(856\) | 199.751 | + | 896.838i | 0.233354 | + | 1.04771i | ||||
\(857\) | −171.794 | − | 171.794i | −0.200460 | − | 0.200460i | 0.599737 | − | 0.800197i | \(-0.295272\pi\) |
−0.800197 | + | 0.599737i | \(0.795272\pi\) | |||||||
\(858\) | −123.167 | − | 111.561i | −0.143552 | − | 0.130024i | ||||
\(859\) | −27.0546 | + | 83.2655i | −0.0314955 | + | 0.0969331i | −0.965569 | − | 0.260149i | \(-0.916228\pi\) |
0.934073 | + | 0.357082i | \(0.116228\pi\) | |||||||
\(860\) | 1121.63 | − | 536.536i | 1.30422 | − | 0.623879i | ||||
\(861\) | −116.658 | − | 620.638i | −0.135491 | − | 0.720833i | ||||
\(862\) | 1317.78 | + | 398.226i | 1.52875 | + | 0.461979i | ||||
\(863\) | 326.520 | − | 166.370i | 0.378355 | − | 0.192781i | −0.254462 | − | 0.967083i | \(-0.581899\pi\) |
0.632817 | + | 0.774301i | \(0.281899\pi\) | |||||||
\(864\) | 590.751 | − | 630.483i | 0.683740 | − | 0.729726i | ||||
\(865\) | 94.1918 | + | 1036.31i | 0.108892 | + | 1.19805i | ||||
\(866\) | −732.910 | − | 1367.70i | −0.846317 | − | 1.57934i | ||||
\(867\) | 376.464 | − | 10.8138i | 0.434215 | − | 0.0124727i | ||||
\(868\) | 802.583 | − | 871.914i | 0.924634 | − | 1.00451i | ||||
\(869\) | 444.248 | + | 322.765i | 0.511217 | + | 0.371421i | ||||
\(870\) | −1319.48 | − | 453.710i | −1.51665 | − | 0.521506i | ||||
\(871\) | 14.0434 | + | 19.3291i | 0.0161233 | + | 0.0221918i | ||||
\(872\) | 902.706 | − | 745.628i | 1.03521 | − | 0.855078i | ||||
\(873\) | −924.016 | + | 1036.75i | −1.05844 | + | 1.18758i | ||||
\(874\) | −452.287 | + | 471.401i | −0.517491 | + | 0.539361i | ||||
\(875\) | −881.970 | − | 699.535i | −1.00797 | − | 0.799469i | ||||
\(876\) | 57.8100 | − | 662.943i | 0.0659931 | − | 0.756784i | ||||
\(877\) | 1248.20 | + | 635.991i | 1.42326 | + | 0.725190i | 0.984822 | − | 0.173569i | \(-0.0555301\pi\) |
0.438443 | + | 0.898759i | \(0.355530\pi\) | |||||||
\(878\) | −136.525 | − | 179.959i | −0.155495 | − | 0.204965i | ||||
\(879\) | −904.285 | + | 493.961i | −1.02877 | + | 0.561958i | ||||
\(880\) | 278.325 | + | 370.218i | 0.316278 | + | 0.420703i | ||||
\(881\) | 686.609 | − | 945.036i | 0.779352 | − | 1.07269i | −0.216001 | − | 0.976393i | \(-0.569302\pi\) |
0.995353 | − | 0.0962927i | \(-0.0306985\pi\) | |||||||
\(882\) | −135.127 | + | 561.817i | −0.153206 | + | 0.636981i | ||||
\(883\) | 352.587 | − | 55.8443i | 0.399306 | − | 0.0632439i | 0.0464480 | − | 0.998921i | \(-0.485210\pi\) |
0.352858 | + | 0.935677i | \(0.385210\pi\) | |||||||
\(884\) | 235.604 | + | 65.9106i | 0.266520 | + | 0.0745595i | ||||
\(885\) | −13.7172 | + | 363.483i | −0.0154997 | + | 0.410716i | ||||
\(886\) | −137.276 | − | 66.4046i | −0.154939 | − | 0.0749488i | ||||
\(887\) | −191.185 | − | 375.222i | −0.215541 | − | 0.423023i | 0.757767 | − | 0.652525i | \(-0.226290\pi\) |
−0.973308 | + | 0.229502i | \(0.926290\pi\) | |||||||
\(888\) | 1463.30 | + | 585.228i | 1.64787 | + | 0.659040i | ||||
\(889\) | 1464.52 | − | 475.851i | 1.64738 | − | 0.535265i | ||||
\(890\) | −239.622 | + | 636.793i | −0.269239 | + | 0.715497i | ||||
\(891\) | 345.303 | − | 317.315i | 0.387545 | − | 0.356134i | ||||
\(892\) | 586.572 | − | 117.964i | 0.657591 | − | 0.132247i | ||||
\(893\) | 1126.41 | − | 1126.41i | 1.26138 | − | 1.26138i | ||||
\(894\) | −392.236 | + | 19.3951i | −0.438743 | + | 0.0216947i | ||||
\(895\) | 25.8540 | − | 64.6182i | 0.0288872 | − | 0.0721991i | ||||
\(896\) | −14.1169 | + | 1152.64i | −0.0157555 | + | 1.28643i | ||||
\(897\) | −58.8605 | + | 200.577i | −0.0656193 | + | 0.223609i | ||||
\(898\) | −561.806 | + | 195.482i | −0.625619 | + | 0.217686i | ||||
\(899\) | 1530.08i | 1.70198i | ||||||||
\(900\) | −307.102 | + | 845.984i | −0.341224 | + | 0.939982i | ||||
\(901\) | 246.682 | 0.273787 | ||||||||
\(902\) | −88.9455 | − | 255.625i | −0.0986092 | − | 0.283398i | ||||
\(903\) | 1611.62 | + | 472.940i | 1.78474 | + | 0.523743i | ||||
\(904\) | 562.876 | + | 53.6395i | 0.622651 | + | 0.0593357i | ||||
\(905\) | −69.0384 | + | 1037.62i | −0.0762855 | + | 1.14655i | ||||
\(906\) | −65.8449 | − | 1331.61i | −0.0726765 | − | 1.46977i | ||||
\(907\) | 242.951 | + | 242.951i | 0.267862 | + | 0.267862i | 0.828238 | − | 0.560376i | \(-0.189343\pi\) |
−0.560376 | + | 0.828238i | \(0.689343\pi\) | |||||||
\(908\) | −1578.33 | + | 317.414i | −1.73825 | + | 0.349575i | ||||
\(909\) | −216.295 | + | 336.794i | −0.237948 | + | 0.370510i | ||||
\(910\) | 237.025 | + | 359.756i | 0.260467 | + | 0.395336i | ||||
\(911\) | −491.771 | − | 1513.51i | −0.539814 | − | 1.66138i | −0.733011 | − | 0.680217i | \(-0.761886\pi\) |
0.193197 | − | 0.981160i | \(-0.438114\pi\) | |||||||
\(912\) | 980.409 | − | 444.470i | 1.07501 | − | 0.487358i | ||||
\(913\) | −524.104 | + | 267.044i | −0.574046 | + | 0.292491i | ||||
\(914\) | 711.004 | − | 1469.83i | 0.777904 | − | 1.60813i | ||||
\(915\) | −837.060 | + | 561.183i | −0.914819 | + | 0.613315i | ||||
\(916\) | 351.974 | + | 98.4653i | 0.384251 | + | 0.107495i | ||||
\(917\) | −213.873 | − | 1350.34i | −0.233231 | − | 1.47256i | ||||
\(918\) | −246.049 | + | 645.066i | −0.268027 | + | 0.702686i | ||||
\(919\) | −933.371 | − | 678.134i | −1.01564 | − | 0.737904i | −0.0502533 | − | 0.998737i | \(-0.516003\pi\) |
−0.965384 | + | 0.260833i | \(0.916003\pi\) | |||||||
\(920\) | 266.764 | − | 517.951i | 0.289961 | − | 0.562990i | ||||
\(921\) | −224.647 | − | 411.257i | −0.243916 | − | 0.446533i | ||||
\(922\) | 679.644 | − | 515.606i | 0.737141 | − | 0.559226i | ||||
\(923\) | −98.5724 | + | 193.459i | −0.106796 | + | 0.209598i | ||||
\(924\) | −54.3538 | + | 623.308i | −0.0588244 | + | 0.674576i | ||||
\(925\) | −1641.18 | + | 39.7329i | −1.77425 | + | 0.0429545i | ||||
\(926\) | −703.906 | − | 675.364i | −0.760157 | − | 0.729335i | ||||
\(927\) | −1.23693 | + | 1.38785i | −0.00133434 | + | 0.00149714i | ||||
\(928\) | −994.485 | − | 1107.31i | −1.07164 | − | 1.19322i | ||||
\(929\) | 243.092 | − | 176.617i | 0.261670 | − | 0.190115i | −0.449213 | − | 0.893425i | \(-0.648295\pi\) |
0.710883 | + | 0.703310i | \(0.248295\pi\) | |||||||
\(930\) | 986.787 | + | 16.8066i | 1.06106 | + | 0.0180716i | ||||
\(931\) | −423.163 | + | 582.434i | −0.454525 | + | 0.625601i | ||||
\(932\) | −178.154 | + | 193.544i | −0.191153 | + | 0.207666i | ||||
\(933\) | −43.8753 | − | 1527.44i | −0.0470261 | − | 1.63713i | ||||
\(934\) | −667.321 | + | 357.597i | −0.714477 | + | 0.382866i | ||||
\(935\) | −317.885 | − | 189.547i | −0.339983 | − | 0.202724i | ||||
\(936\) | 212.781 | − | 270.854i | 0.227330 | − | 0.289374i | ||||
\(937\) | −210.750 | − | 413.620i | −0.224920 | − | 0.441430i | 0.750777 | − | 0.660556i | \(-0.229679\pi\) |
−0.975697 | + | 0.219126i | \(0.929679\pi\) | |||||||
\(938\) | 26.0214 | − | 86.1083i | 0.0277414 | − | 0.0917999i | ||||
\(939\) | 353.828 | − | 66.5071i | 0.376814 | − | 0.0708275i | ||||
\(940\) | −676.474 | + | 1249.26i | −0.719654 | + | 1.32900i | ||||
\(941\) | −793.980 | − | 257.980i | −0.843761 | − | 0.274155i | −0.144931 | − | 0.989442i | \(-0.546296\pi\) |
−0.698831 | + | 0.715287i | \(0.746296\pi\) | |||||||
\(942\) | −713.613 | + | 787.857i | −0.757551 | + | 0.836367i | ||||
\(943\) | −240.738 | + | 240.738i | −0.255289 | + | 0.255289i | ||||
\(944\) | −201.327 | + | 331.670i | −0.213270 | + | 0.351346i | ||||
\(945\) | −1072.17 | + | 573.192i | −1.13457 | + | 0.606553i | ||||
\(946\) | 713.168 | + | 97.8760i | 0.753877 | + | 0.103463i | ||||
\(947\) | 84.6257 | − | 534.306i | 0.0893619 | − | 0.564209i | −0.901863 | − | 0.432022i | \(-0.857800\pi\) |
0.991225 | − | 0.132187i | \(-0.0421998\pi\) | |||||||
\(948\) | −602.852 | + | 965.375i | −0.635919 | + | 1.01833i | ||||
\(949\) | − | 265.289i | − | 0.279545i | ||||||
\(950\) | −756.500 | + | 827.670i | −0.796316 | + | 0.871232i | ||||
\(951\) | −226.384 | + | 1753.93i | −0.238048 | + | 1.84430i | ||||
\(952\) | −338.432 | − | 856.685i | −0.355496 | − | 0.899880i | ||||
\(953\) | 6.04180 | − | 38.1464i | 0.00633977 | − | 0.0400277i | −0.984316 | − | 0.176416i | \(-0.943550\pi\) |
0.990655 | + | 0.136388i | \(0.0435495\pi\) | |||||||
\(954\) | 133.039 | − | 320.808i | 0.139454 | − | 0.336276i | ||||
\(955\) | −388.897 | + | 98.3586i | −0.407222 | + | 0.102993i | ||||
\(956\) | 658.173 | − | 989.541i | 0.688466 | − | 1.03508i | ||||
\(957\) | −493.402 | − | 639.647i | −0.515571 | − | 0.668388i | ||||
\(958\) | 222.010 | + | 154.385i | 0.231743 | + | 0.161153i | ||||
\(959\) | −362.142 | − | 117.667i | −0.377625 | − | 0.122698i | ||||
\(960\) | −725.053 | + | 629.205i | −0.755263 | + | 0.655421i | ||||
\(961\) | −37.4702 | − | 115.321i | −0.0389909 | − | 0.120002i | ||||
\(962\) | 601.417 | + | 181.745i | 0.625173 | + | 0.188924i | ||||
\(963\) | −1009.97 | + | 220.038i | −1.04878 | + | 0.228492i | ||||
\(964\) | 113.461 | + | 305.561i | 0.117698 | + | 0.316972i | ||||
\(965\) | −131.432 | + | 578.193i | −0.136199 | + | 0.599164i | ||||
\(966\) | 735.577 | − | 279.872i | 0.761467 | − | 0.289723i | ||||
\(967\) | 108.736 | + | 686.535i | 0.112447 | + | 0.709963i | 0.977916 | + | 0.209000i | \(0.0670209\pi\) |
−0.865468 | + | 0.500963i | \(0.832979\pi\) | |||||||
\(968\) | −43.4121 | − | 698.494i | −0.0448472 | − | 0.721585i | ||||
\(969\) | −590.514 | + | 625.442i | −0.609405 | + | 0.645451i | ||||
\(970\) | 1139.87 | − | 1040.08i | 1.17513 | − | 1.07224i | ||||
\(971\) | 759.325 | − | 551.682i | 0.782003 | − | 0.568158i | −0.123576 | − | 0.992335i | \(-0.539436\pi\) |
0.905579 | + | 0.424177i | \(0.139436\pi\) | |||||||
\(972\) | 706.204 | + | 667.877i | 0.726547 | + | 0.687117i | ||||
\(973\) | 238.438 | − | 467.961i | 0.245055 | − | 0.480947i | ||||
\(974\) | 501.241 | − | 522.424i | 0.514621 | − | 0.536369i | ||||
\(975\) | −92.6668 | + | 346.616i | −0.0950429 | + | 0.355504i | ||||
\(976\) | −1071.27 | + | 88.8632i | −1.09762 | + | 0.0910484i | ||||
\(977\) | 830.000 | − | 1628.97i | 0.849540 | − | 1.66732i | 0.110274 | − | 0.993901i | \(-0.464827\pi\) |
0.739266 | − | 0.673414i | \(-0.235173\pi\) | |||||||
\(978\) | −433.450 | − | 755.903i | −0.443201 | − | 0.772907i | ||||
\(979\) | −318.686 | + | 231.539i | −0.325522 | + | 0.236505i | ||||
\(980\) | 213.638 | − | 605.457i | 0.217998 | − | 0.617814i | ||||
\(981\) | 834.113 | + | 1019.42i | 0.850268 | + | 1.03917i | ||||
\(982\) | 14.7015 | + | 710.443i | 0.0149709 | + | 0.723466i | ||||
\(983\) | 71.3694 | + | 450.608i | 0.0726036 | + | 0.458401i | 0.997028 | + | 0.0770365i | \(0.0245458\pi\) |
−0.924425 | + | 0.381365i | \(0.875454\pi\) | |||||||
\(984\) | 515.614 | − | 221.011i | 0.523998 | − | 0.224605i | ||||
\(985\) | −477.041 | − | 1113.37i | −0.484306 | − | 1.13033i | ||||
\(986\) | 1070.60 | + | 517.885i | 1.08580 | + | 0.525238i | ||||
\(987\) | −1807.38 | + | 645.193i | −1.83119 | + | 0.653691i | ||||
\(988\) | 373.975 | − | 210.474i | 0.378517 | − | 0.213031i | ||||
\(989\) | −279.811 | − | 861.169i | −0.282923 | − | 0.870747i | ||||
\(990\) | −417.943 | + | 311.181i | −0.422165 | + | 0.314324i | ||||
\(991\) | −1075.16 | − | 349.340i | −1.08492 | − | 0.352513i | −0.288640 | − | 0.957438i | \(-0.593203\pi\) |
−0.796282 | + | 0.604925i | \(0.793203\pi\) | |||||||
\(992\) | 911.019 | + | 527.518i | 0.918366 | + | 0.531772i | ||||
\(993\) | 485.504 | − | 374.501i | 0.488926 | − | 0.377141i | ||||
\(994\) | 804.595 | − | 144.559i | 0.809452 | − | 0.145431i | ||||
\(995\) | −224.124 | − | 355.993i | −0.225250 | − | 0.357782i | ||||
\(996\) | −628.220 | − | 1044.86i | −0.630743 | − | 1.04906i | ||||
\(997\) | −83.5965 | + | 527.807i | −0.0838480 | + | 0.529395i | 0.909634 | + | 0.415410i | \(0.136362\pi\) |
−0.993482 | + | 0.113986i | \(0.963638\pi\) | |||||||
\(998\) | 379.441 | − | 132.027i | 0.380201 | − | 0.132292i | ||||
\(999\) | −666.009 | + | 1643.15i | −0.666675 | + | 1.64479i |
(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 | 300.3.u.a.83.105 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.83.12 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.83.48 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.83.69 | yes | 928 | |
25.22 | odd | 20 | inner | 300.3.u.a.47.69 | yes | 928 | |
75.47 | even | 20 | inner | 300.3.u.a.47.48 | yes | 928 | |
100.47 | even | 20 | inner | 300.3.u.a.47.12 | ✓ | 928 | |
300.47 | odd | 20 | inner | 300.3.u.a.47.105 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.47.12 | ✓ | 928 | 100.47 | even | 20 | inner | |
300.3.u.a.47.48 | yes | 928 | 75.47 | even | 20 | inner | |
300.3.u.a.47.69 | yes | 928 | 25.22 | odd | 20 | inner | |
300.3.u.a.47.105 | yes | 928 | 300.47 | odd | 20 | inner | |
300.3.u.a.83.12 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.83.48 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.83.69 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.83.105 | yes | 928 | 1.1 | even | 1 | trivial |