Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,4,Mod(46,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.46");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.h (of order \(5\), degree \(4\), 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: | \(13.2754297513\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 46.8 | ||
Character | \(\chi\) | \(=\) | 225.46 |
Dual form | 225.4.h.d.181.8 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0492832 | + | 0.151678i | −0.0174242 | + | 0.0536263i | −0.959391 | − | 0.282081i | \(-0.908975\pi\) |
0.941966 | + | 0.335707i | \(0.108975\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 6.45156 | + | 4.68733i | 0.806445 | + | 0.585916i | ||||
\(5\) | −9.69768 | − | 5.56372i | −0.867387 | − | 0.497634i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 29.3448 | 1.58447 | 0.792235 | − | 0.610216i | \(-0.208917\pi\) | ||||
0.792235 | + | 0.610216i | \(0.208917\pi\) | |||||||
\(8\) | −2.06112 | + | 1.49749i | −0.0910895 | + | 0.0661804i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.32183 | − | 1.19673i | 0.0417998 | − | 0.0378439i | ||||
\(11\) | −10.1644 | + | 31.2829i | −0.278608 | + | 0.857468i | 0.709634 | + | 0.704571i | \(0.248860\pi\) |
−0.988242 | + | 0.152897i | \(0.951140\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −9.02150 | − | 27.7653i | −0.192470 | − | 0.592362i | −0.999997 | − | 0.00253122i | \(-0.999194\pi\) |
0.807527 | − | 0.589831i | \(-0.200806\pi\) | |||||||
\(14\) | −1.44621 | + | 4.45096i | −0.0276082 | + | 0.0849693i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 19.5887 | + | 60.2877i | 0.306073 | + | 0.941995i | ||||
\(17\) | 103.730 | − | 75.3644i | 1.47990 | − | 1.07521i | 0.502309 | − | 0.864688i | \(-0.332484\pi\) |
0.977589 | − | 0.210520i | \(-0.0675158\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.24851 | − | 2.36018i | 0.0392241 | − | 0.0284980i | −0.568000 | − | 0.823028i | \(-0.692283\pi\) |
0.607225 | + | 0.794530i | \(0.292283\pi\) | |||||||
\(20\) | −36.4862 | − | 81.3509i | −0.407928 | − | 0.909531i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.24399 | − | 3.08344i | −0.0411283 | − | 0.0298815i | ||||
\(23\) | −39.8382 | + | 122.609i | −0.361167 | + | 1.11156i | 0.591180 | + | 0.806540i | \(0.298662\pi\) |
−0.952347 | + | 0.305018i | \(0.901338\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 63.0901 | + | 107.910i | 0.504721 | + | 0.863283i | ||||
\(26\) | 4.65600 | 0.0351198 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 189.320 | + | 137.549i | 1.27779 | + | 0.928368i | ||||
\(29\) | 178.493 | + | 129.683i | 1.14294 | + | 0.830397i | 0.987527 | − | 0.157452i | \(-0.0503280\pi\) |
0.155417 | + | 0.987849i | \(0.450328\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 139.509 | − | 101.359i | 0.808275 | − | 0.587246i | −0.105055 | − | 0.994466i | \(-0.533502\pi\) |
0.913330 | + | 0.407220i | \(0.133502\pi\) | |||||||
\(32\) | −30.4912 | −0.168442 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.31897 | + | 19.4478i | 0.0318734 | + | 0.0980961i | ||||
\(35\) | −284.577 | − | 163.266i | −1.37435 | − | 0.788487i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 64.2980 | + | 197.889i | 0.285690 | + | 0.879263i | 0.986191 | + | 0.165612i | \(0.0529599\pi\) |
−0.700501 | + | 0.713651i | \(0.747040\pi\) | |||||||
\(38\) | 0.197890 | + | 0.609044i | 0.000844791 | + | 0.00260000i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 28.3197 | − | 3.05470i | 0.111943 | − | 0.0120748i | ||||
\(41\) | −78.0265 | − | 240.141i | −0.297212 | − | 0.914725i | −0.982469 | − | 0.186424i | \(-0.940310\pi\) |
0.685257 | − | 0.728301i | \(-0.259690\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −81.1845 | −0.287919 | −0.143960 | − | 0.989584i | \(-0.545984\pi\) | ||||
−0.143960 | + | 0.989584i | \(0.545984\pi\) | |||||||
\(44\) | −212.210 | + | 154.179i | −0.727087 | + | 0.528260i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −16.6338 | − | 12.0852i | −0.0533156 | − | 0.0387361i | ||||
\(47\) | 281.870 | + | 204.790i | 0.874785 | + | 0.635569i | 0.931867 | − | 0.362801i | \(-0.118180\pi\) |
−0.0570816 | + | 0.998370i | \(0.518180\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 518.118 | 1.51055 | ||||||||
\(50\) | −19.4769 | + | 4.25122i | −0.0550890 | + | 0.0120243i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 71.9425 | − | 221.416i | 0.191858 | − | 0.590479i | ||||
\(53\) | 324.991 | + | 236.120i | 0.842283 | + | 0.611955i | 0.923008 | − | 0.384782i | \(-0.125723\pi\) |
−0.0807243 | + | 0.996736i | \(0.525723\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 272.621 | − | 246.820i | 0.668367 | − | 0.605112i | ||||
\(56\) | −60.4832 | + | 43.9436i | −0.144329 | + | 0.104861i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −28.4668 | + | 20.6823i | −0.0644460 | + | 0.0468228i | ||||
\(59\) | −196.402 | − | 604.462i | −0.433379 | − | 1.33380i | −0.894739 | − | 0.446589i | \(-0.852639\pi\) |
0.461361 | − | 0.887213i | \(-0.347361\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −111.080 | + | 341.868i | −0.233153 | + | 0.717570i | 0.764208 | + | 0.644969i | \(0.223130\pi\) |
−0.997361 | + | 0.0726007i | \(0.976870\pi\) | |||||||
\(62\) | 8.49851 | + | 26.1557i | 0.0174083 | + | 0.0535771i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −155.207 | + | 477.677i | −0.303138 | + | 0.932962i | ||||
\(65\) | −66.9907 | + | 319.452i | −0.127834 | + | 0.609587i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −72.2562 | + | 52.4972i | −0.131754 | + | 0.0957247i | −0.651710 | − | 0.758468i | \(-0.725948\pi\) |
0.519956 | + | 0.854193i | \(0.325948\pi\) | |||||||
\(68\) | 1022.48 | 1.82344 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 38.7888 | − | 35.1178i | 0.0662306 | − | 0.0599625i | ||||
\(71\) | −434.583 | − | 315.743i | −0.726415 | − | 0.527771i | 0.162012 | − | 0.986789i | \(-0.448202\pi\) |
−0.888427 | + | 0.459017i | \(0.848202\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 28.1745 | − | 86.7122i | 0.0451723 | − | 0.139026i | −0.925927 | − | 0.377703i | \(-0.876714\pi\) |
0.971099 | + | 0.238677i | \(0.0767139\pi\) | |||||||
\(74\) | −33.1842 | −0.0521296 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 32.0209 | 0.0483295 | ||||||||
\(77\) | −298.273 | + | 917.991i | −0.441447 | + | 1.35863i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1076.93 | − | 782.439i | −1.53373 | − | 1.11432i | −0.954120 | − | 0.299425i | \(-0.903205\pi\) |
−0.579609 | − | 0.814894i | \(-0.696795\pi\) | |||||||
\(80\) | 145.459 | − | 693.636i | 0.203285 | − | 0.969386i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 40.2695 | 0.0542320 | ||||||||
\(83\) | 148.238 | − | 107.701i | 0.196038 | − | 0.142430i | −0.485436 | − | 0.874272i | \(-0.661339\pi\) |
0.681474 | + | 0.731842i | \(0.261339\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1425.25 | + | 153.734i | −1.81870 | + | 0.196175i | ||||
\(86\) | 4.00103 | − | 12.3139i | 0.00501677 | − | 0.0154400i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −25.8957 | − | 79.6989i | −0.0313693 | − | 0.0965447i | ||||
\(89\) | 179.451 | − | 552.293i | 0.213728 | − | 0.657786i | −0.785514 | − | 0.618844i | \(-0.787601\pi\) |
0.999241 | − | 0.0389420i | \(-0.0123987\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −264.734 | − | 814.768i | −0.304963 | − | 0.938581i | ||||
\(92\) | −831.729 | + | 604.287i | −0.942541 | + | 0.684796i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −44.9536 | + | 32.6607i | −0.0493256 | + | 0.0358372i | ||||
\(95\) | −44.6344 | + | 4.81449i | −0.0482041 | + | 0.00519953i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1342.00 | − | 975.019i | −1.40473 | − | 1.02060i | −0.994062 | − | 0.108817i | \(-0.965294\pi\) |
−0.410673 | − | 0.911783i | \(-0.634706\pi\) | |||||||
\(98\) | −25.5345 | + | 78.5871i | −0.0263201 | + | 0.0810051i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −98.7821 | + | 991.914i | −0.0987821 | + | 0.991914i | ||||
\(101\) | −1351.67 | −1.33165 | −0.665824 | − | 0.746109i | \(-0.731920\pi\) | ||||
−0.665824 | + | 0.746109i | \(0.731920\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −727.905 | − | 528.854i | −0.696336 | − | 0.505918i | 0.182401 | − | 0.983224i | \(-0.441613\pi\) |
−0.878737 | + | 0.477307i | \(0.841613\pi\) | |||||||
\(104\) | 60.1727 | + | 43.7180i | 0.0567348 | + | 0.0412202i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −51.8309 | + | 37.6573i | −0.0474930 | + | 0.0345057i | ||||
\(107\) | −64.2638 | −0.0580619 | −0.0290309 | − | 0.999579i | \(-0.509242\pi\) | ||||
−0.0290309 | + | 0.999579i | \(0.509242\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −325.634 | − | 1002.20i | −0.286148 | − | 0.880672i | −0.986052 | − | 0.166436i | \(-0.946774\pi\) |
0.699905 | − | 0.714236i | \(-0.253226\pi\) | |||||||
\(110\) | 24.0015 | + | 53.5146i | 0.0208041 | + | 0.0463856i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 574.825 | + | 1769.13i | 0.484963 | + | 1.49256i | ||||
\(113\) | 45.0297 | + | 138.587i | 0.0374871 | + | 0.115373i | 0.968049 | − | 0.250761i | \(-0.0806809\pi\) |
−0.930562 | + | 0.366135i | \(0.880681\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1068.50 | − | 967.378i | 0.866420 | − | 0.784422i | ||||
\(116\) | 543.693 | + | 1673.31i | 0.435178 | + | 1.33934i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 101.363 | 0.0790781 | ||||||||
\(119\) | 3043.94 | − | 2211.55i | 2.34486 | − | 1.70364i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 201.498 | + | 146.397i | 0.151388 | + | 0.109990i | ||||
\(122\) | −46.3796 | − | 33.6967i | −0.0344181 | − | 0.0250062i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1375.15 | 0.995907 | ||||||||
\(125\) | −11.4451 | − | 1397.50i | −0.00818942 | − | 0.999966i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 488.467 | − | 1503.35i | 0.341294 | − | 1.05040i | −0.622243 | − | 0.782824i | \(-0.713779\pi\) |
0.963538 | − | 0.267572i | \(-0.0862214\pi\) | |||||||
\(128\) | −262.147 | − | 190.461i | −0.181021 | − | 0.131520i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −45.1524 | − | 25.9046i | −0.0304625 | − | 0.0174768i | ||||
\(131\) | −1857.49 | + | 1349.55i | −1.23885 | + | 0.900080i | −0.997522 | − | 0.0703622i | \(-0.977584\pi\) |
−0.241333 | + | 0.970442i | \(0.577584\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 95.3268 | − | 69.2590i | 0.0621495 | − | 0.0451543i | ||||
\(134\) | −4.40166 | − | 13.5469i | −0.00283765 | − | 0.00873340i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −100.943 | + | 310.670i | −0.0636454 | + | 0.195880i | ||||
\(137\) | 789.846 | + | 2430.90i | 0.492563 | + | 1.51595i | 0.820721 | + | 0.571330i | \(0.193572\pi\) |
−0.328158 | + | 0.944623i | \(0.606428\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −727.700 | + | 2239.63i | −0.444048 | + | 1.36664i | 0.439475 | + | 0.898255i | \(0.355164\pi\) |
−0.883524 | + | 0.468386i | \(0.844836\pi\) | |||||||
\(140\) | −1070.68 | − | 2387.23i | −0.646350 | − | 1.44112i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 69.3089 | − | 50.3558i | 0.0409597 | − | 0.0297589i | ||||
\(143\) | 960.278 | 0.561556 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1009.45 | − | 2250.71i | −0.578141 | − | 1.28904i | ||||
\(146\) | 11.7638 | + | 8.54691i | 0.00666836 | + | 0.00484484i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −512.749 | + | 1578.08i | −0.284782 | + | 0.876468i | ||||
\(149\) | 2505.02 | 1.37731 | 0.688656 | − | 0.725088i | \(-0.258201\pi\) | ||||
0.688656 | + | 0.725088i | \(0.258201\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2051.97 | −1.10587 | −0.552936 | − | 0.833224i | \(-0.686493\pi\) | ||||
−0.552936 | + | 0.833224i | \(0.686493\pi\) | |||||||
\(152\) | −3.16121 | + | 9.72922i | −0.00168690 | + | 0.00519174i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −124.539 | − | 90.4830i | −0.0651666 | − | 0.0473463i | ||||
\(155\) | −1916.85 | + | 206.761i | −0.993321 | + | 0.107145i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −743.884 | −0.378143 | −0.189071 | − | 0.981963i | \(-0.560548\pi\) | ||||
−0.189071 | + | 0.981963i | \(0.560548\pi\) | |||||||
\(158\) | 171.754 | − | 124.786i | 0.0864809 | − | 0.0628320i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 295.694 | + | 169.644i | 0.146104 | + | 0.0838222i | ||||
\(161\) | −1169.04 | + | 3597.95i | −0.572258 | + | 1.76123i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −104.751 | − | 322.390i | −0.0503357 | − | 0.154917i | 0.922729 | − | 0.385449i | \(-0.125953\pi\) |
−0.973065 | + | 0.230532i | \(0.925953\pi\) | |||||||
\(164\) | 622.227 | − | 1915.02i | 0.296267 | − | 0.911816i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.03024 | + | 27.7922i | 0.00422219 | + | 0.0129946i | ||||
\(167\) | −1141.26 | + | 829.177i | −0.528825 | + | 0.384214i | −0.819918 | − | 0.572481i | \(-0.805981\pi\) |
0.291093 | + | 0.956695i | \(0.405981\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1087.89 | − | 790.395i | 0.495169 | − | 0.359761i | ||||
\(170\) | 46.9226 | − | 223.755i | 0.0211694 | − | 0.100949i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −523.767 | − | 380.539i | −0.232191 | − | 0.168697i | ||||
\(173\) | 229.277 | − | 705.642i | 0.100761 | − | 0.310110i | −0.887951 | − | 0.459937i | \(-0.847872\pi\) |
0.988712 | + | 0.149828i | \(0.0478719\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1851.37 | + | 3166.61i | 0.799715 | + | 1.36785i | ||||
\(176\) | −2085.08 | −0.893005 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 74.9268 | + | 54.4375i | 0.0315506 | + | 0.0229228i | ||||
\(179\) | −1687.40 | − | 1225.97i | −0.704592 | − | 0.511916i | 0.176832 | − | 0.984241i | \(-0.443415\pi\) |
−0.881425 | + | 0.472325i | \(0.843415\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2664.46 | − | 1935.84i | 1.09419 | − | 0.794974i | 0.114086 | − | 0.993471i | \(-0.463606\pi\) |
0.980101 | + | 0.198497i | \(0.0636061\pi\) | |||||||
\(182\) | 136.629 | 0.0556464 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −101.495 | − | 312.370i | −0.0406648 | − | 0.125153i | ||||
\(185\) | 477.457 | − | 2276.80i | 0.189748 | − | 0.904831i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1303.26 | + | 4011.02i | 0.509645 | + | 1.56853i | ||||
\(188\) | 858.578 | + | 2642.43i | 0.333076 | + | 1.02510i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.46947 | − | 7.00732i | 0.000561088 | − | 0.00267560i | ||||
\(191\) | −1133.86 | − | 3489.66i | −0.429545 | − | 1.32200i | −0.898574 | − | 0.438822i | \(-0.855396\pi\) |
0.469029 | − | 0.883183i | \(-0.344604\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3385.06 | 1.26250 | 0.631249 | − | 0.775580i | \(-0.282543\pi\) | ||||
0.631249 | + | 0.775580i | \(0.282543\pi\) | |||||||
\(194\) | 214.027 | − | 155.500i | 0.0792074 | − | 0.0575476i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3342.67 | + | 2428.59i | 1.21817 | + | 0.885055i | ||||
\(197\) | 206.238 | + | 149.841i | 0.0745881 | + | 0.0541914i | 0.624454 | − | 0.781061i | \(-0.285321\pi\) |
−0.549866 | + | 0.835253i | \(0.685321\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1588.39 | 0.565819 | 0.282909 | − | 0.959147i | \(-0.408700\pi\) | ||||
0.282909 | + | 0.959147i | \(0.408700\pi\) | |||||||
\(200\) | −291.631 | − | 127.939i | −0.103107 | − | 0.0452333i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 66.6147 | − | 205.019i | 0.0232029 | − | 0.0714113i | ||||
\(203\) | 5237.85 | + | 3805.52i | 1.81096 | + | 1.31574i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −579.400 | + | 2762.93i | −0.197400 | + | 0.941323i | ||||
\(206\) | 116.089 | − | 84.3436i | 0.0392636 | − | 0.0285267i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1497.19 | − | 1087.77i | 0.499092 | − | 0.362612i | ||||
\(209\) | 40.8140 | + | 125.613i | 0.0135080 | + | 0.0415732i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −391.821 | + | 1205.90i | −0.127839 | + | 0.393448i | −0.994408 | − | 0.105610i | \(-0.966321\pi\) |
0.866569 | + | 0.499058i | \(0.166321\pi\) | |||||||
\(212\) | 989.928 | + | 3046.69i | 0.320701 | + | 0.987015i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.16713 | − | 9.74741i | 0.00101168 | − | 0.00311364i | ||||
\(215\) | 787.302 | + | 451.688i | 0.249737 | + | 0.143278i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4093.86 | − | 2974.36i | 1.28069 | − | 0.930475i | ||||
\(218\) | 168.060 | 0.0522131 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2915.75 | − | 314.508i | 0.893546 | − | 0.0963823i | ||||
\(221\) | −3028.32 | − | 2200.20i | −0.921750 | − | 0.669690i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −325.421 | + | 1001.54i | −0.0977211 | + | 0.300755i | −0.987953 | − | 0.154752i | \(-0.950542\pi\) |
0.890232 | + | 0.455507i | \(0.150542\pi\) | |||||||
\(224\) | −894.758 | −0.266891 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −23.2399 | −0.00684023 | ||||||||
\(227\) | −1421.01 | + | 4373.43i | −0.415489 | + | 1.27874i | 0.496325 | + | 0.868137i | \(0.334683\pi\) |
−0.911813 | + | 0.410605i | \(0.865317\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −955.043 | − | 693.879i | −0.275594 | − | 0.200231i | 0.441399 | − | 0.897311i | \(-0.354482\pi\) |
−0.716993 | + | 0.697080i | \(0.754482\pi\) | |||||||
\(230\) | 94.0709 | + | 209.744i | 0.0269689 | + | 0.0601309i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −562.095 | −0.159066 | ||||||||
\(233\) | 5377.93 | − | 3907.29i | 1.51210 | − | 1.09861i | 0.546869 | − | 0.837218i | \(-0.315820\pi\) |
0.965234 | − | 0.261388i | \(-0.0841804\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1594.09 | − | 3554.23i | −0.442497 | − | 0.986607i | ||||
\(236\) | 1566.22 | − | 4820.33i | 0.432001 | − | 1.32956i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 185.429 | + | 570.692i | 0.0505024 | + | 0.155430i | ||||
\(239\) | 500.005 | − | 1538.86i | 0.135325 | − | 0.416487i | −0.860316 | − | 0.509762i | \(-0.829734\pi\) |
0.995640 | + | 0.0932750i | \(0.0297336\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −237.696 | − | 731.554i | −0.0635326 | − | 0.195533i | 0.914252 | − | 0.405147i | \(-0.132779\pi\) |
−0.977784 | + | 0.209613i | \(0.932779\pi\) | |||||||
\(242\) | −32.1356 | + | 23.3479i | −0.00853617 | + | 0.00620189i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2319.09 | + | 1684.92i | −0.608461 | + | 0.442073i | ||||
\(245\) | −5024.54 | − | 2882.66i | −1.31023 | − | 0.751700i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −94.8375 | − | 68.9035i | −0.0244306 | − | 0.0177499i | ||||
\(248\) | −135.760 | + | 417.826i | −0.0347612 | + | 0.106984i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 212.533 | + | 67.1371i | 0.0537672 | + | 0.0169845i | ||||
\(251\) | 1218.11 | 0.306321 | 0.153160 | − | 0.988201i | \(-0.451055\pi\) | ||||
0.153160 | + | 0.988201i | \(0.451055\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3430.64 | − | 2492.51i | −0.852501 | − | 0.619378i | ||||
\(254\) | 203.951 | + | 148.179i | 0.0503821 | + | 0.0366047i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3208.88 | + | 2331.39i | −0.783418 | + | 0.569186i | ||||
\(257\) | −492.212 | −0.119468 | −0.0597342 | − | 0.998214i | \(-0.519025\pi\) | ||||
−0.0597342 | + | 0.998214i | \(0.519025\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1886.81 | + | 5807.01i | 0.452667 | + | 1.39317i | ||||
\(260\) | −1929.57 | + | 1746.96i | −0.460258 | + | 0.416699i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −113.154 | − | 348.251i | −0.0266819 | − | 0.0821184i | ||||
\(263\) | 862.074 | + | 2653.19i | 0.202121 | + | 0.622064i | 0.999819 | + | 0.0190075i | \(0.00605062\pi\) |
−0.797699 | + | 0.603056i | \(0.793949\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1837.96 | − | 4097.98i | −0.426056 | − | 0.949950i | ||||
\(266\) | 5.80706 | + | 17.8723i | 0.00133855 | + | 0.00411963i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −712.237 | −0.162339 | ||||||||
\(269\) | −4837.44 | + | 3514.61i | −1.09645 | + | 0.796615i | −0.980476 | − | 0.196638i | \(-0.936998\pi\) |
−0.115970 | + | 0.993253i | \(0.536998\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −886.592 | − | 644.146i | −0.198733 | − | 0.144388i | 0.483968 | − | 0.875085i | \(-0.339195\pi\) |
−0.682701 | + | 0.730698i | \(0.739195\pi\) | |||||||
\(272\) | 6575.48 | + | 4777.36i | 1.46580 | + | 1.06496i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −407.640 | −0.0898774 | ||||||||
\(275\) | −4017.02 | + | 876.794i | −0.880857 | + | 0.192264i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −722.301 | + | 2223.01i | −0.156675 | + | 0.482195i | −0.998327 | − | 0.0578254i | \(-0.981583\pi\) |
0.841652 | + | 0.540020i | \(0.181583\pi\) | |||||||
\(278\) | −303.840 | − | 220.752i | −0.0655507 | − | 0.0476253i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 831.036 | − | 89.6397i | 0.177371 | − | 0.0191321i | ||||
\(281\) | −3090.76 | + | 2245.57i | −0.656154 | + | 0.476724i | −0.865362 | − | 0.501148i | \(-0.832911\pi\) |
0.209208 | + | 0.977871i | \(0.432911\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2933.95 | + | 2131.64i | −0.616274 | + | 0.447749i | −0.851618 | − | 0.524163i | \(-0.824378\pi\) |
0.235344 | + | 0.971912i | \(0.424378\pi\) | |||||||
\(284\) | −1323.74 | − | 4074.07i | −0.276584 | − | 0.851237i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −47.3255 | + | 145.653i | −0.00978468 | + | 0.0301141i | ||||
\(287\) | −2289.67 | − | 7046.89i | −0.470924 | − | 1.44935i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3561.96 | − | 10962.6i | 0.725007 | − | 2.23134i | ||||
\(290\) | 391.132 | − | 42.1895i | 0.0792003 | − | 0.00854294i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 588.218 | − | 427.366i | 0.117887 | − | 0.0856496i | ||||
\(293\) | 1795.61 | 0.358024 | 0.179012 | − | 0.983847i | \(-0.442710\pi\) | ||||
0.179012 | + | 0.983847i | \(0.442710\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1458.42 | + | 6954.61i | −0.287838 | + | 1.37259i | ||||
\(296\) | −428.863 | − | 311.587i | −0.0842133 | − | 0.0611846i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −123.456 | + | 379.957i | −0.0239986 | + | 0.0738601i | ||||
\(299\) | 3763.69 | 0.727959 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2382.35 | −0.456200 | ||||||||
\(302\) | 101.128 | − | 311.238i | 0.0192690 | − | 0.0593038i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 205.924 | + | 149.612i | 0.0388504 | + | 0.0282265i | ||||
\(305\) | 2979.28 | − | 2697.32i | 0.559321 | − | 0.506386i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9971.47 | −1.85375 | −0.926876 | − | 0.375367i | \(-0.877517\pi\) | ||||
−0.926876 | + | 0.375367i | \(0.877517\pi\) | |||||||
\(308\) | −6227.25 | + | 4524.37i | −1.15205 | + | 0.837012i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 63.1072 | − | 300.933i | 0.0115621 | − | 0.0551351i | ||||
\(311\) | −1060.97 | + | 3265.34i | −0.193448 | + | 0.595371i | 0.806543 | + | 0.591175i | \(0.201336\pi\) |
−0.999991 | + | 0.00419632i | \(0.998664\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −702.374 | − | 2161.68i | −0.126839 | − | 0.390370i | 0.867393 | − | 0.497624i | \(-0.165794\pi\) |
−0.994232 | + | 0.107254i | \(0.965794\pi\) | |||||||
\(314\) | 36.6610 | − | 112.831i | 0.00658885 | − | 0.0202784i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3280.36 | − | 10095.9i | −0.583970 | − | 1.79727i | ||||
\(317\) | 3669.22 | − | 2665.84i | 0.650106 | − | 0.472330i | −0.213201 | − | 0.977008i | \(-0.568389\pi\) |
0.863307 | + | 0.504678i | \(0.168389\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5871.14 | + | 4265.63i | −1.03047 | + | 0.748682i | ||||
\(320\) | 4162.80 | − | 3768.83i | 0.727211 | − | 0.658387i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −488.116 | − | 354.637i | −0.0844771 | − | 0.0613762i | ||||
\(323\) | 159.095 | − | 489.643i | 0.0274064 | − | 0.0843483i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2427.00 | − | 2725.23i | 0.414232 | − | 0.465134i | ||||
\(326\) | 54.0619 | 0.00918470 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 520.431 | + | 378.115i | 0.0876097 | + | 0.0636522i | ||||
\(329\) | 8271.41 | + | 6009.53i | 1.38607 | + | 1.00704i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4593.10 | − | 3337.08i | 0.762717 | − | 0.554146i | −0.137025 | − | 0.990568i | \(-0.543754\pi\) |
0.899743 | + | 0.436421i | \(0.143754\pi\) | |||||||
\(332\) | 1461.19 | 0.241546 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −69.5228 | − | 213.969i | −0.0113896 | − | 0.0350535i | ||||
\(335\) | 992.798 | − | 107.088i | 0.161917 | − | 0.0174652i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −467.461 | − | 1438.70i | −0.0755615 | − | 0.232554i | 0.906141 | − | 0.422976i | \(-0.139015\pi\) |
−0.981702 | + | 0.190422i | \(0.939015\pi\) | |||||||
\(338\) | 66.2711 | + | 203.962i | 0.0106647 | + | 0.0328226i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −9915.68 | − | 5688.79i | −1.58163 | − | 0.907405i | ||||
\(341\) | 1752.78 | + | 5394.50i | 0.278353 | + | 0.856682i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 5138.80 | 0.808948 | ||||||||
\(344\) | 167.331 | − | 121.573i | 0.0262264 | − | 0.0190546i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 95.7309 | + | 69.5525i | 0.0148743 | + | 0.0108068i | ||||
\(347\) | −7811.23 | − | 5675.19i | −1.20844 | − | 0.877983i | −0.213352 | − | 0.976975i | \(-0.568438\pi\) |
−0.995088 | + | 0.0989921i | \(0.968438\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7346.82 | −1.12684 | −0.563419 | − | 0.826171i | \(-0.690514\pi\) | ||||
−0.563419 | + | 0.826171i | \(0.690514\pi\) | |||||||
\(350\) | −571.546 | + | 124.751i | −0.0872869 | + | 0.0190521i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 309.925 | − | 953.852i | 0.0469292 | − | 0.144433i | ||||
\(353\) | −7714.51 | − | 5604.92i | −1.16318 | − | 0.845099i | −0.173002 | − | 0.984921i | \(-0.555347\pi\) |
−0.990177 | + | 0.139822i | \(0.955347\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2457.74 | + | 5479.87i | 0.367446 | + | 0.819271i | ||||
\(356\) | 3746.52 | − | 2722.01i | 0.557767 | − | 0.405242i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 269.113 | − | 195.522i | 0.0397292 | − | 0.0288649i | ||||
\(359\) | 775.270 | + | 2386.04i | 0.113975 | + | 0.350780i | 0.991732 | − | 0.128327i | \(-0.0409606\pi\) |
−0.877756 | + | 0.479107i | \(0.840961\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2114.57 | + | 6507.96i | −0.308291 | + | 0.948821i | ||||
\(362\) | 162.312 | + | 499.545i | 0.0235661 | + | 0.0725290i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2111.14 | − | 6497.42i | 0.303994 | − | 0.935597i | ||||
\(365\) | −755.670 | + | 684.153i | −0.108366 | + | 0.0981101i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4863.50 | − | 3533.54i | 0.691751 | − | 0.502587i | −0.185484 | − | 0.982647i | \(-0.559385\pi\) |
0.877235 | + | 0.480061i | \(0.159385\pi\) | |||||||
\(368\) | −8172.21 | −1.15762 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 321.810 | + | 184.628i | 0.0452165 | + | 0.0259414i | ||||
\(371\) | 9536.81 | + | 6928.90i | 1.33457 | + | 0.969624i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2343.48 | + | 7212.50i | −0.325311 | + | 1.00120i | 0.645989 | + | 0.763347i | \(0.276445\pi\) |
−0.971300 | + | 0.237858i | \(0.923555\pi\) | |||||||
\(374\) | −672.612 | −0.0929945 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −887.638 | −0.121746 | ||||||||
\(377\) | 1990.41 | − | 6125.85i | 0.271913 | − | 0.836863i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2308.85 | + | 1677.48i | 0.312923 | + | 0.227352i | 0.733150 | − | 0.680067i | \(-0.238050\pi\) |
−0.420227 | + | 0.907419i | \(0.638050\pi\) | |||||||
\(380\) | −310.528 | − | 178.155i | −0.0419204 | − | 0.0240504i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 585.185 | 0.0783787 | ||||||||
\(383\) | −1443.06 | + | 1048.45i | −0.192525 | + | 0.139878i | −0.679872 | − | 0.733331i | \(-0.737965\pi\) |
0.487347 | + | 0.873208i | \(0.337965\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 8000.00 | − | 7242.87i | 1.05901 | − | 0.958782i | ||||
\(386\) | −166.827 | + | 513.440i | −0.0219981 | + | 0.0677031i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4087.74 | − | 12580.8i | −0.534855 | − | 1.64611i | ||||
\(389\) | −737.976 | + | 2271.26i | −0.0961873 | + | 0.296034i | −0.987561 | − | 0.157234i | \(-0.949742\pi\) |
0.891374 | + | 0.453269i | \(0.149742\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5107.96 | + | 15720.7i | 0.660666 | + | 2.03332i | ||||
\(392\) | −1067.90 | + | 775.877i | −0.137595 | + | 0.0999686i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −32.8916 | + | 23.8972i | −0.00420573 | + | 0.00305564i | ||||
\(395\) | 6090.50 | + | 13579.6i | 0.775814 | + | 1.72978i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6647.72 | + | 4829.85i | 0.840402 | + | 0.610588i | 0.922483 | − | 0.386038i | \(-0.126157\pi\) |
−0.0820812 | + | 0.996626i | \(0.526157\pi\) | |||||||
\(398\) | −78.2809 | + | 240.924i | −0.00985896 | + | 0.0303428i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5269.81 | + | 5917.37i | −0.658727 | + | 0.739672i | ||||
\(401\) | −7475.11 | −0.930896 | −0.465448 | − | 0.885075i | \(-0.654107\pi\) | ||||
−0.465448 | + | 0.885075i | \(0.654107\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4072.85 | − | 2959.10i | −0.503432 | − | 0.365764i | ||||
\(404\) | −8720.39 | − | 6335.73i | −1.07390 | − | 0.780234i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −835.352 | + | 606.919i | −0.102113 | + | 0.0741893i | ||||
\(407\) | −6844.09 | −0.833536 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3838.20 | + | 11812.8i | 0.464026 | + | 1.42813i | 0.860203 | + | 0.509951i | \(0.170337\pi\) |
−0.396177 | + | 0.918174i | \(0.629663\pi\) | |||||||
\(410\) | −390.521 | − | 224.048i | −0.0470401 | − | 0.0269877i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2217.21 | − | 6823.86i | −0.265131 | − | 0.815989i | ||||
\(413\) | −5763.37 | − | 17737.8i | −0.686676 | − | 2.11337i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2036.78 | + | 219.697i | −0.240919 | + | 0.0259868i | ||||
\(416\) | 275.076 | + | 846.597i | 0.0324200 | + | 0.0997784i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −21.0641 | −0.00246478 | ||||||||
\(419\) | 4073.98 | − | 2959.92i | 0.475004 | − | 0.345111i | −0.324384 | − | 0.945925i | \(-0.605157\pi\) |
0.799388 | + | 0.600815i | \(0.205157\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7971.21 | − | 5791.42i | −0.922786 | − | 0.670443i | 0.0214300 | − | 0.999770i | \(-0.493178\pi\) |
−0.944216 | + | 0.329327i | \(0.893178\pi\) | |||||||
\(422\) | −163.598 | − | 118.861i | −0.0188717 | − | 0.0137111i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1023.43 | −0.117222 | ||||||||
\(425\) | 14676.9 | + | 6438.81i | 1.67514 | + | 0.734890i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3259.62 | + | 10032.1i | −0.369424 | + | 1.13697i | ||||
\(428\) | −414.602 | − | 301.226i | −0.0468237 | − | 0.0340194i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −107.312 | + | 97.1558i | −0.0120350 | + | 0.0108960i | ||||
\(431\) | 6931.59 | − | 5036.09i | 0.774670 | − | 0.562831i | −0.128704 | − | 0.991683i | \(-0.541082\pi\) |
0.903375 | + | 0.428852i | \(0.141082\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6367.30 | − | 4626.12i | 0.706681 | − | 0.513434i | −0.175420 | − | 0.984494i | \(-0.556128\pi\) |
0.882101 | + | 0.471060i | \(0.156128\pi\) | |||||||
\(434\) | 249.387 | + | 767.535i | 0.0275829 | + | 0.0848914i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2596.79 | − | 7992.10i | 0.285238 | − | 0.877872i | ||||
\(437\) | 159.965 | + | 492.323i | 0.0175107 | + | 0.0538924i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2487.25 | − | 7654.97i | 0.270410 | − | 0.832236i | −0.719987 | − | 0.693987i | \(-0.755852\pi\) |
0.990397 | − | 0.138249i | \(-0.0441475\pi\) | |||||||
\(440\) | −192.294 | + | 916.971i | −0.0208346 | + | 0.0993520i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 482.967 | − | 350.896i | 0.0519738 | − | 0.0377612i | ||||
\(443\) | 4305.60 | 0.461773 | 0.230886 | − | 0.972981i | \(-0.425837\pi\) | ||||
0.230886 | + | 0.972981i | \(0.425837\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4813.06 | + | 4357.55i | −0.512721 | + | 0.464197i | ||||
\(446\) | −135.874 | − | 98.7184i | −0.0144256 | − | 0.0104808i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −4554.51 | + | 14017.3i | −0.480313 | + | 1.47825i | ||||
\(449\) | −9905.44 | −1.04113 | −0.520564 | − | 0.853822i | \(-0.674278\pi\) | ||||
−0.520564 | + | 0.853822i | \(0.674278\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8305.40 | 0.867153 | ||||||||
\(452\) | −359.093 | + | 1105.17i | −0.0373679 | + | 0.115007i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −593.321 | − | 431.073i | −0.0613346 | − | 0.0445622i | ||||
\(455\) | −1965.83 | + | 9374.26i | −0.202548 | + | 0.965873i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6073.04 | 0.621630 | 0.310815 | − | 0.950470i | \(-0.399398\pi\) | ||||
0.310815 | + | 0.950470i | \(0.399398\pi\) | |||||||
\(458\) | 152.314 | − | 110.662i | 0.0155396 | − | 0.0112902i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 11427.9 | − | 1232.67i | 1.15833 | − | 0.124943i | ||||
\(461\) | 2488.37 | − | 7658.41i | 0.251399 | − | 0.773726i | −0.743119 | − | 0.669159i | \(-0.766654\pi\) |
0.994518 | − | 0.104567i | \(-0.0333456\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2624.36 | + | 8076.94i | 0.263422 | + | 0.810728i | 0.992053 | + | 0.125822i | \(0.0401568\pi\) |
−0.728631 | + | 0.684906i | \(0.759843\pi\) | |||||||
\(464\) | −4321.84 | + | 13301.3i | −0.432406 | + | 1.33081i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 327.609 | + | 1008.28i | 0.0325670 | + | 0.100231i | ||||
\(467\) | −655.875 | + | 476.521i | −0.0649899 | + | 0.0472179i | −0.619806 | − | 0.784755i | \(-0.712789\pi\) |
0.554816 | + | 0.831973i | \(0.312789\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2120.35 | + | 1540.52i | −0.208760 | + | 0.151673i | ||||
\(470\) | 617.661 | − | 66.6240i | 0.0606182 | − | 0.00653859i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1309.98 | + | 951.759i | 0.127748 | + | 0.0928141i | ||||
\(473\) | 825.195 | − | 2539.69i | 0.0802167 | − | 0.246882i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 459.636 | + | 201.644i | 0.0443991 | + | 0.0194780i | ||||
\(476\) | 30004.5 | 2.88919 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 208.769 | + | 151.679i | 0.0199767 | + | 0.0145139i | ||||
\(479\) | −5393.84 | − | 3918.85i | −0.514511 | − | 0.373814i | 0.300021 | − | 0.953933i | \(-0.403006\pi\) |
−0.814532 | + | 0.580118i | \(0.803006\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4914.38 | − | 3570.51i | 0.465856 | − | 0.338464i | ||||
\(482\) | 122.675 | 0.0115927 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 613.764 | + | 1888.97i | 0.0576412 | + | 0.177402i | ||||
\(485\) | 7589.54 | + | 16921.9i | 0.710564 | + | 1.58430i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1201.19 | − | 3696.88i | −0.111768 | − | 0.343987i | 0.879491 | − | 0.475915i | \(-0.157883\pi\) |
−0.991259 | + | 0.131928i | \(0.957883\pi\) | |||||||
\(488\) | −282.996 | − | 870.973i | −0.0262513 | − | 0.0807932i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 684.862 | − | 620.046i | 0.0631406 | − | 0.0571650i | ||||
\(491\) | −3440.60 | − | 10589.1i | −0.316236 | − | 0.973275i | −0.975243 | − | 0.221138i | \(-0.929023\pi\) |
0.659006 | − | 0.752137i | \(-0.270977\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 28288.6 | 2.58429 | ||||||||
\(494\) | 15.1250 | − | 10.9890i | 0.00137755 | − | 0.00100085i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8843.50 | + | 6425.18i | 0.800574 | + | 0.581651i | ||||
\(497\) | −12752.7 | − | 9265.41i | −1.15098 | − | 0.836238i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 18600.7 | 1.66870 | 0.834351 | − | 0.551233i | \(-0.185842\pi\) | ||||
0.834351 | + | 0.551233i | \(0.185842\pi\) | |||||||
\(500\) | 6476.69 | − | 9069.67i | 0.579292 | − | 0.811216i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −60.0324 | + | 184.761i | −0.00533740 | + | 0.0164268i | ||||
\(503\) | −9096.52 | − | 6609.01i | −0.806349 | − | 0.585847i | 0.106421 | − | 0.994321i | \(-0.466061\pi\) |
−0.912770 | + | 0.408474i | \(0.866061\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13108.1 | + | 7520.32i | 1.15505 | + | 0.662673i | ||||
\(506\) | 547.132 | − | 397.515i | 0.0480691 | − | 0.0349243i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10198.0 | − | 7409.32i | 0.890680 | − | 0.647117i | ||||
\(509\) | 3557.97 | + | 10950.3i | 0.309832 | + | 0.953565i | 0.977830 | + | 0.209401i | \(0.0671515\pi\) |
−0.667998 | + | 0.744163i | \(0.732848\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 826.776 | − | 2544.55i | 0.0715742 | − | 0.220283i | ||||
\(512\) | −996.526 | − | 3066.99i | −0.0860169 | − | 0.264733i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 24.2578 | − | 74.6578i | 0.00208164 | − | 0.00640664i | ||||
\(515\) | 4116.60 | + | 9178.51i | 0.352231 | + | 0.785347i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9271.47 | + | 6736.12i | −0.788702 | + | 0.573026i | ||||
\(518\) | −973.785 | −0.0825978 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −340.301 | − | 758.747i | −0.0286984 | − | 0.0639870i | ||||
\(521\) | −7391.15 | − | 5369.99i | −0.621521 | − | 0.451561i | 0.231932 | − | 0.972732i | \(-0.425495\pi\) |
−0.853452 | + | 0.521171i | \(0.825495\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6777.77 | + | 20859.8i | −0.566675 | + | 1.74405i | 0.0962456 | + | 0.995358i | \(0.469317\pi\) |
−0.662921 | + | 0.748690i | \(0.730683\pi\) | |||||||
\(524\) | −18309.5 | −1.52644 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −444.917 | −0.0368808 | ||||||||
\(527\) | 6832.41 | − | 21028.0i | 0.564752 | − | 1.73813i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3602.67 | − | 2617.49i | −0.296101 | − | 0.215130i | ||||
\(530\) | 712.154 | − | 76.8165i | 0.0583660 | − | 0.00629565i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 939.646 | 0.0765768 | ||||||||
\(533\) | −5963.67 | + | 4332.86i | −0.484644 | + | 0.352114i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 623.210 | + | 357.546i | 0.0503621 | + | 0.0288936i | ||||
\(536\) | 70.3146 | − | 216.406i | 0.00566628 | − | 0.0174390i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −294.684 | − | 906.945i | −0.0236148 | − | 0.0726788i | ||||
\(539\) | −5266.37 | + | 16208.2i | −0.420851 | + | 1.29525i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1587.67 | − | 4886.34i | −0.126172 | − | 0.388318i | 0.867941 | − | 0.496668i | \(-0.165443\pi\) |
−0.994113 | + | 0.108350i | \(0.965443\pi\) | |||||||
\(542\) | 141.397 | − | 102.731i | 0.0112058 | − | 0.00814146i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3162.86 | + | 2297.95i | −0.249276 | + | 0.181110i | ||||
\(545\) | −2418.05 | + | 11530.7i | −0.190051 | + | 0.906280i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2450.34 | + | 1780.28i | 0.191534 | + | 0.139157i | 0.679419 | − | 0.733750i | \(-0.262232\pi\) |
−0.487886 | + | 0.872908i | \(0.662232\pi\) | |||||||
\(548\) | −6298.68 | + | 19385.3i | −0.490997 | + | 1.51113i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 64.9813 | − | 652.505i | 0.00503784 | − | 0.0505871i | ||||
\(551\) | 885.911 | 0.0684956 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −31602.4 | − | 22960.5i | −2.43015 | − | 1.76561i | ||||
\(554\) | −301.585 | − | 219.114i | −0.0231284 | − | 0.0168037i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15192.7 | + | 11038.1i | −1.15884 | + | 0.841945i | ||||
\(557\) | 20769.3 | 1.57994 | 0.789968 | − | 0.613148i | \(-0.210097\pi\) | ||||
0.789968 | + | 0.613148i | \(0.210097\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 732.406 | + | 2254.11i | 0.0554159 | + | 0.170553i | ||||
\(560\) | 4268.47 | − | 20354.6i | 0.322099 | − | 1.53596i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −188.281 | − | 579.469i | −0.0141319 | − | 0.0434936i | ||||
\(563\) | 555.456 | + | 1709.52i | 0.0415803 | + | 0.127971i | 0.969692 | − | 0.244331i | \(-0.0785685\pi\) |
−0.928112 | + | 0.372302i | \(0.878568\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 334.376 | − | 1594.51i | 0.0248979 | − | 0.118728i | ||||
\(566\) | −178.729 | − | 550.071i | −0.0132730 | − | 0.0408502i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1368.55 | 0.101097 | ||||||||
\(569\) | −10255.6 | + | 7451.12i | −0.755600 | + | 0.548976i | −0.897558 | − | 0.440897i | \(-0.854660\pi\) |
0.141958 | + | 0.989873i | \(0.454660\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4944.23 | − | 3592.20i | −0.362364 | − | 0.263273i | 0.391674 | − | 0.920104i | \(-0.371896\pi\) |
−0.754037 | + | 0.656832i | \(0.771896\pi\) | |||||||
\(572\) | 6195.29 | + | 4501.14i | 0.452864 | + | 0.329025i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1181.70 | 0.0859290 | ||||||||
\(575\) | −15744.2 | + | 3436.48i | −1.14188 | + | 0.249237i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4174.86 | − | 12848.9i | 0.301216 | − | 0.927047i | −0.679846 | − | 0.733354i | \(-0.737954\pi\) |
0.981062 | − | 0.193692i | \(-0.0620464\pi\) | |||||||
\(578\) | 1487.24 | + | 1080.54i | 0.107026 | + | 0.0777589i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4037.29 | − | 19252.2i | 0.289033 | − | 1.37828i | ||||
\(581\) | 4350.00 | − | 3160.46i | 0.310617 | − | 0.225677i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −10689.9 | + | 7766.65i | −0.759399 | + | 0.551735i | ||||
\(584\) | 71.7797 | + | 220.915i | 0.00508607 | + | 0.0156533i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −88.4936 | + | 272.355i | −0.00623829 | + | 0.0191995i | ||||
\(587\) | −7283.42 | − | 22416.1i | −0.512128 | − | 1.57617i | −0.788448 | − | 0.615101i | \(-0.789115\pi\) |
0.276320 | − | 0.961066i | \(-0.410885\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 213.970 | − | 658.532i | 0.0149685 | − | 0.0460685i | ||||
\(590\) | −982.986 | − | 563.955i | −0.0685914 | − | 0.0393520i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −10670.8 | + | 7752.76i | −0.740820 | + | 0.538237i | ||||
\(593\) | −18418.6 | −1.27548 | −0.637741 | − | 0.770251i | \(-0.720131\pi\) | ||||
−0.637741 | + | 0.770251i | \(0.720131\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −41823.7 | + | 4511.31i | −2.88169 | + | 0.310833i | ||||
\(596\) | 16161.3 | + | 11741.9i | 1.11073 | + | 0.806990i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −185.487 | + | 570.869i | −0.0126841 | + | 0.0390377i | ||||
\(599\) | 20376.6 | 1.38992 | 0.694962 | − | 0.719047i | \(-0.255421\pi\) | ||||
0.694962 | + | 0.719047i | \(0.255421\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6750.30 | 0.458154 | 0.229077 | − | 0.973408i | \(-0.426429\pi\) | ||||
0.229077 | + | 0.973408i | \(0.426429\pi\) | |||||||
\(602\) | 117.410 | − | 361.349i | 0.00794893 | − | 0.0244643i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −13238.4 | − | 9618.25i | −0.891825 | − | 0.647949i | ||||
\(605\) | −1139.55 | − | 2540.78i | −0.0765774 | − | 0.170740i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 24863.6 | 1.66258 | 0.831288 | − | 0.555842i | \(-0.187604\pi\) | ||||
0.831288 | + | 0.555842i | \(0.187604\pi\) | |||||||
\(608\) | −99.0508 | + | 71.9646i | −0.00660697 | + | 0.00480025i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 262.295 | + | 584.823i | 0.0174099 | + | 0.0388177i | ||||
\(611\) | 3143.18 | − | 9673.71i | 0.208117 | − | 0.640518i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4288.32 | − | 13198.1i | −0.282551 | − | 0.869602i | −0.987122 | − | 0.159969i | \(-0.948861\pi\) |
0.704571 | − | 0.709633i | \(-0.251139\pi\) | |||||||
\(614\) | 491.426 | − | 1512.45i | 0.0323002 | − | 0.0994099i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −759.906 | − | 2338.75i | −0.0497037 | − | 0.152972i | ||||
\(617\) | 19426.7 | − | 14114.3i | 1.26757 | − | 0.920943i | 0.268467 | − | 0.963289i | \(-0.413483\pi\) |
0.999103 | + | 0.0423456i | \(0.0134830\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −15028.7 | + | 10919.0i | −0.975858 | + | 0.709002i | −0.956779 | − | 0.290816i | \(-0.906073\pi\) |
−0.0190786 | + | 0.999818i | \(0.506073\pi\) | |||||||
\(620\) | −13335.8 | − | 7650.97i | −0.863837 | − | 0.495597i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −442.992 | − | 321.853i | −0.0285569 | − | 0.0207478i | ||||
\(623\) | 5265.95 | − | 16206.9i | 0.338645 | − | 1.04224i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7664.28 | + | 13616.1i | −0.490514 | + | 0.871433i | ||||
\(626\) | 362.495 | 0.0231441 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4799.21 | − | 3486.83i | −0.304951 | − | 0.221560i | ||||
\(629\) | 21583.4 | + | 15681.3i | 1.36818 | + | 0.994044i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13503.0 | + | 9810.53i | −0.851897 | + | 0.618940i | −0.925669 | − | 0.378335i | \(-0.876497\pi\) |
0.0737711 | + | 0.997275i | \(0.476497\pi\) | |||||||
\(632\) | 3391.39 | 0.213453 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 223.519 | + | 687.921i | 0.0140017 | + | 0.0430928i | ||||
\(635\) | −13101.2 | + | 11861.3i | −0.818747 | + | 0.741260i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4674.20 | − | 14385.7i | −0.290735 | − | 0.894792i | ||||
\(638\) | −357.654 | − | 1100.75i | −0.0221938 | − | 0.0683056i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1482.55 | + | 3305.54i | 0.0915669 | + | 0.204161i | ||||
\(641\) | 6734.41 | + | 20726.4i | 0.414966 | + | 1.27713i | 0.912281 | + | 0.409565i | \(0.134319\pi\) |
−0.497315 | + | 0.867570i | \(0.665681\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 27264.8 | 1.67219 | 0.836095 | − | 0.548585i | \(-0.184833\pi\) | ||||
0.836095 | + | 0.548585i | \(0.184833\pi\) | |||||||
\(644\) | −24406.9 | + | 17732.7i | −1.49343 | + | 1.08504i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 66.4275 | + | 48.2624i | 0.00404575 | + | 0.00293941i | ||||
\(647\) | 11895.8 | + | 8642.84i | 0.722834 | + | 0.525170i | 0.887288 | − | 0.461215i | \(-0.152586\pi\) |
−0.164454 | + | 0.986385i | \(0.552586\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 20905.7 | 1.26444 | ||||||||
\(650\) | 293.747 | + | 502.430i | 0.0177257 | + | 0.0303184i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 835.342 | − | 2570.92i | 0.0501756 | − | 0.154425i | ||||
\(653\) | −2577.82 | − | 1872.90i | −0.154484 | − | 0.112239i | 0.507858 | − | 0.861441i | \(-0.330437\pi\) |
−0.662342 | + | 0.749202i | \(0.730437\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 25521.9 | − | 2752.92i | 1.52248 | − | 0.164222i | ||||
\(656\) | 12949.1 | − | 9408.07i | 0.770697 | − | 0.559944i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1319.16 | + | 958.422i | −0.0781551 | + | 0.0567830i | ||||
\(659\) | −169.519 | − | 521.726i | −0.0100205 | − | 0.0308400i | 0.945921 | − | 0.324396i | \(-0.105161\pi\) |
−0.955942 | + | 0.293556i | \(0.905161\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6862.63 | − | 21121.0i | 0.403820 | − | 1.24283i | −0.518056 | − | 0.855347i | \(-0.673344\pi\) |
0.921876 | − | 0.387484i | \(-0.126656\pi\) | |||||||
\(662\) | 279.799 | + | 861.134i | 0.0164271 | + | 0.0505573i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −144.254 | + | 443.969i | −0.00843095 | + | 0.0259478i | ||||
\(665\) | −1309.79 | + | 141.280i | −0.0763780 | + | 0.00823851i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −23011.2 | + | 16718.6i | −1.33583 | + | 0.970535i | ||||
\(668\) | −11249.6 | −0.651585 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −32.6853 | + | 155.863i | −0.00188469 | + | 0.00898735i | ||||
\(671\) | −9565.57 | − | 6949.80i | −0.550335 | − | 0.399842i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1118.05 | + | 3441.00i | −0.0640381 | + | 0.197089i | −0.977956 | − | 0.208809i | \(-0.933041\pi\) |
0.913918 | + | 0.405898i | \(0.133041\pi\) | |||||||
\(674\) | 241.257 | 0.0137876 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 10723.4 | 0.610116 | ||||||||
\(677\) | 381.095 | − | 1172.89i | 0.0216347 | − | 0.0665847i | −0.939656 | − | 0.342120i | \(-0.888855\pi\) |
0.961291 | + | 0.275535i | \(0.0888551\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −39380.7 | − | 28611.7i | −2.22576 | − | 1.61711i | ||||
\(680\) | 2707.39 | − | 2451.16i | 0.152682 | − | 0.138232i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −904.610 | −0.0507908 | ||||||||
\(683\) | −8454.62 | + | 6142.64i | −0.473656 | + | 0.344131i | −0.798864 | − | 0.601511i | \(-0.794565\pi\) |
0.325209 | + | 0.945642i | \(0.394565\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5865.14 | − | 27968.5i | 0.327147 | − | 1.56003i | ||||
\(686\) | −253.257 | + | 779.443i | −0.0140953 | + | 0.0433809i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1590.30 | − | 4894.43i | −0.0881242 | − | 0.271218i | ||||
\(689\) | 3624.04 | − | 11153.6i | 0.200384 | − | 0.616720i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5157.67 | + | 15873.7i | 0.283947 | + | 0.873898i | 0.986712 | + | 0.162477i | \(0.0519482\pi\) |
−0.702766 | + | 0.711421i | \(0.748052\pi\) | |||||||
\(692\) | 4786.77 | − | 3477.79i | 0.262956 | − | 0.191049i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1245.76 | − | 905.101i | 0.0681391 | − | 0.0495060i | ||||
\(695\) | 19517.7 | − | 17670.5i | 1.06525 | − | 0.964433i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −26191.8 | − | 19029.4i | −1.42336 | − | 1.03413i | ||||
\(698\) | 362.075 | − | 1114.35i | 0.0196343 | − | 0.0604282i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2898.74 | + | 29107.5i | −0.156517 | + | 1.57166i | ||||
\(701\) | −16107.7 | −0.867872 | −0.433936 | − | 0.900944i | \(-0.642876\pi\) | ||||
−0.433936 | + | 0.900944i | \(0.642876\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 675.926 | + | 491.089i | 0.0362632 | + | 0.0263468i | ||||
\(704\) | −13365.5 | − | 9710.62i | −0.715528 | − | 0.519862i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1230.34 | − | 893.894i | 0.0655870 | − | 0.0476518i | ||||
\(707\) | −39664.6 | −2.10996 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1080.15 | − | 3324.37i | −0.0572158 | − | 0.176092i | 0.918364 | − | 0.395736i | \(-0.129510\pi\) |
−0.975580 | + | 0.219644i | \(0.929510\pi\) | |||||||
\(710\) | −952.301 | + | 102.720i | −0.0503369 | + | 0.00542959i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 457.184 | + | 1407.07i | 0.0240642 | + | 0.0740620i | ||||
\(713\) | 6869.80 | + | 21143.1i | 0.360836 | + | 1.11054i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9312.47 | − | 5342.71i | −0.487086 | − | 0.279449i | ||||
\(716\) | −5139.84 | − | 15818.8i | −0.268275 | − | 0.825665i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −400.117 | −0.0207970 | ||||||||
\(719\) | 4561.98 | − | 3314.47i | 0.236625 | − | 0.171918i | −0.463153 | − | 0.886278i | \(-0.653282\pi\) |
0.699778 | + | 0.714360i | \(0.253282\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21360.2 | − | 15519.1i | −1.10332 | − | 0.801612i | ||||
\(722\) | −882.903 | − | 641.466i | −0.0455100 | − | 0.0330650i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 26263.9 | 1.34819 | ||||||||
\(725\) | −2732.97 | + | 27443.0i | −0.140000 | + | 1.40580i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1371.30 | + | 4220.44i | −0.0699572 | + | 0.215306i | −0.979923 | − | 0.199378i | \(-0.936108\pi\) |
0.909966 | + | 0.414684i | \(0.136108\pi\) | |||||||
\(728\) | 1765.76 | + | 1282.90i | 0.0898946 | + | 0.0653122i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −66.5291 | − | 148.336i | −0.00337309 | − | 0.00752076i | ||||
\(731\) | −8421.29 | + | 6118.42i | −0.426091 | + | 0.309573i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1276.36 | + | 927.332i | −0.0643159 | + | 0.0467282i | −0.619479 | − | 0.785013i | \(-0.712656\pi\) |
0.555163 | + | 0.831742i | \(0.312656\pi\) | |||||||
\(734\) | 296.272 | + | 911.830i | 0.0148986 | + | 0.0458532i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1214.71 | − | 3738.50i | 0.0608355 | − | 0.187232i | ||||
\(737\) | −907.822 | − | 2793.99i | −0.0453732 | − | 0.139644i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4924.32 | + | 15155.5i | −0.245120 | + | 0.754403i | 0.750496 | + | 0.660875i | \(0.229815\pi\) |
−0.995617 | + | 0.0935283i | \(0.970185\pi\) | |||||||
\(740\) | 13752.5 | − | 12450.9i | 0.683176 | − | 0.618520i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1520.97 | + | 1105.05i | −0.0752513 | + | 0.0546732i | ||||
\(743\) | 23105.8 | 1.14088 | 0.570438 | − | 0.821341i | \(-0.306774\pi\) | ||||
0.570438 | + | 0.821341i | \(0.306774\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −24292.9 | − | 13937.2i | −1.19466 | − | 0.685397i | ||||
\(746\) | −978.484 | − | 710.910i | −0.0480226 | − | 0.0348904i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −10392.9 | + | 31986.1i | −0.508025 | + | 1.56354i | ||||
\(749\) | −1885.81 | −0.0919973 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24402.0 | −1.18567 | −0.592837 | − | 0.805323i | \(-0.701992\pi\) | ||||
−0.592837 | + | 0.805323i | \(0.701992\pi\) | |||||||
\(752\) | −6824.88 | + | 21004.8i | −0.330954 | + | 1.01857i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 831.064 | + | 603.803i | 0.0401400 | + | 0.0291634i | ||||
\(755\) | 19899.3 | + | 11416.6i | 0.959220 | + | 0.550320i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 17698.1 | 0.849736 | 0.424868 | − | 0.905255i | \(-0.360321\pi\) | ||||
0.424868 | + | 0.905255i | \(0.360321\pi\) | |||||||
\(758\) | −368.224 | + | 267.531i | −0.0176445 | + | 0.0128195i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 84.7871 | − | 76.7628i | 0.00404678 | − | 0.00366379i | ||||
\(761\) | −2428.43 | + | 7473.92i | −0.115677 | + | 0.356018i | −0.992088 | − | 0.125547i | \(-0.959931\pi\) |
0.876410 | + | 0.481565i | \(0.159931\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9555.67 | − | 29409.3i | −0.453393 | − | 1.39540i | ||||
\(764\) | 9042.03 | − | 27828.5i | 0.428180 | − | 1.31780i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −87.9077 | − | 270.552i | −0.00414652 | − | 0.0127617i | ||||
\(767\) | −15011.2 | + | 10906.3i | −0.706682 | + | 0.513434i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8164.74 | + | 5932.03i | −0.382871 | + | 0.278172i | −0.762528 | − | 0.646955i | \(-0.776042\pi\) |
0.379657 | + | 0.925127i | \(0.376042\pi\) | |||||||
\(770\) | 704.320 | + | 1570.38i | 0.0329635 | + | 0.0734967i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 21838.9 | + | 15866.9i | 1.01813 | + | 0.739718i | ||||
\(773\) | 11235.0 | − | 34577.6i | 0.522760 | − | 1.60889i | −0.245944 | − | 0.969284i | \(-0.579098\pi\) |
0.768704 | − | 0.639605i | \(-0.220902\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 19739.3 | + | 8659.69i | 0.914913 | + | 0.401375i | ||||
\(776\) | 4226.10 | 0.195500 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −308.130 | − | 223.870i | −0.0141992 | − | 0.0103163i | ||||
\(779\) | −820.245 | − | 595.943i | −0.0377257 | − | 0.0274093i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 14294.6 | − | 10385.7i | 0.654932 | − | 0.475836i | ||||
\(782\) | −2636.22 | −0.120551 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 10149.2 | + | 31236.1i | 0.462337 | + | 1.42293i | ||||
\(785\) | 7213.95 | + | 4138.76i | 0.327996 | + | 0.188177i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 470.813 | + | 1449.01i | 0.0213248 | + | 0.0656311i | 0.961153 | − | 0.276017i | \(-0.0890148\pi\) |
−0.939828 | + | 0.341649i | \(0.889015\pi\) | |||||||
\(788\) | 628.204 | + | 1933.41i | 0.0283995 | + | 0.0874048i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2359.89 | + | 254.549i | −0.106280 | + | 0.0114639i | ||||
\(791\) | 1321.39 | + | 4066.82i | 0.0593972 | + | 0.182806i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10494.2 | 0.469936 | ||||||||
\(794\) | −1060.20 | + | 770.283i | −0.0473869 | + | 0.0344286i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10247.6 | + | 7445.31i | 0.456301 | + | 0.331522i | ||||
\(797\) | −14386.0 | − | 10452.0i | −0.639370 | − | 0.464529i | 0.220264 | − | 0.975440i | \(-0.429308\pi\) |
−0.859634 | + | 0.510911i | \(0.829308\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 44672.3 | 1.97796 | ||||||||
\(800\) | −1923.69 | − | 3290.31i | −0.0850159 | − | 0.145413i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 368.397 | − | 1133.81i | 0.0162202 | − | 0.0499205i | ||||
\(803\) | 2426.23 | + | 1762.76i | 0.106625 | + | 0.0774676i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 31355.0 | − | 28387.5i | 1.37282 | − | 1.24289i | ||||
\(806\) | 649.553 | − | 471.928i | 0.0283865 | − | 0.0206240i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2785.96 | − | 2024.12i | 0.121299 | − | 0.0881289i | ||||
\(809\) | −7339.29 | − | 22588.0i | −0.318956 | − | 0.981646i | −0.974095 | − | 0.226138i | \(-0.927390\pi\) |
0.655139 | − | 0.755508i | \(-0.272610\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5412.05 | + | 16656.6i | −0.234331 | + | 0.721198i | 0.762878 | + | 0.646543i | \(0.223786\pi\) |
−0.997209 | + | 0.0746556i | \(0.976214\pi\) | |||||||
\(812\) | 15954.6 | + | 49103.1i | 0.689526 | + | 2.12214i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 337.299 | − | 1038.10i | 0.0145237 | − | 0.0446994i | ||||
\(815\) | −777.846 | + | 3709.24i | −0.0334316 | + | 0.159422i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −263.729 | + | 191.610i | −0.0112934 | + | 0.00820512i | ||||
\(818\) | −1980.89 | −0.0846704 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −16688.8 | + | 15109.4i | −0.710729 | + | 0.643465i | ||||
\(821\) | 7100.21 | + | 5158.61i | 0.301826 | + | 0.219289i | 0.728381 | − | 0.685172i | \(-0.240273\pi\) |
−0.426555 | + | 0.904462i | \(0.640273\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11194.8 | + | 34453.9i | −0.474149 | + | 1.45928i | 0.372953 | + | 0.927850i | \(0.378345\pi\) |
−0.847102 | + | 0.531430i | \(0.821655\pi\) | |||||||
\(824\) | 2292.25 | 0.0969107 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2974.48 | 0.125297 | ||||||||
\(827\) | −9416.50 | + | 28981.0i | −0.395942 | + | 1.21858i | 0.532284 | + | 0.846566i | \(0.321334\pi\) |
−0.928226 | + | 0.372018i | \(0.878666\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −19031.7 | − | 13827.4i | −0.797345 | − | 0.579305i | 0.112789 | − | 0.993619i | \(-0.464022\pi\) |
−0.910134 | + | 0.414314i | \(0.864022\pi\) | |||||||
\(830\) | 67.0557 | − | 319.762i | 0.00280426 | − | 0.0133724i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 14663.0 | 0.610997 | ||||||||
\(833\) | 53744.5 | − | 39047.6i | 2.23546 | − | 1.62415i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15680.9 | − | 1691.42i | 0.649893 | − | 0.0701008i | ||||
\(836\) | −325.474 | + | 1001.71i | −0.0134650 | + | 0.0414410i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 248.176 | + | 763.807i | 0.0102304 | + | 0.0314860i | ||||
\(839\) | 650.522 | − | 2002.10i | 0.0267682 | − | 0.0823841i | −0.936780 | − | 0.349919i | \(-0.886209\pi\) |
0.963548 | + | 0.267535i | \(0.0862091\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7505.55 | + | 23099.7i | 0.307743 | + | 0.947137i | ||||
\(842\) | 1271.28 | − | 923.637i | 0.0520322 | − | 0.0378036i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8180.30 | + | 5943.34i | −0.333623 | + | 0.242391i | ||||
\(845\) | −14947.5 | + | 1612.31i | −0.608532 | + | 0.0656393i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5912.91 | + | 4295.98i | 0.239870 | + | 0.174276i | ||||
\(848\) | −7868.99 | + | 24218.3i | −0.318658 | + | 0.980729i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1699.95 | + | 1908.85i | −0.0685975 | + | 0.0770269i | ||||
\(851\) | −26824.6 | −1.08053 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −20202.4 | − | 14677.9i | −0.810924 | − | 0.589171i | 0.103174 | − | 0.994663i | \(-0.467100\pi\) |
−0.914098 | + | 0.405493i | \(0.867100\pi\) | |||||||
\(854\) | −1361.00 | − | 988.824i | −0.0545345 | − | 0.0396216i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 132.455 | − | 96.2345i | 0.00528882 | − | 0.00384255i | ||||
\(857\) | −1789.44 | −0.0713258 | −0.0356629 | − | 0.999364i | \(-0.511354\pi\) | ||||
−0.0356629 | + | 0.999364i | \(0.511354\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2369.32 | + | 7292.01i | 0.0941095 | + | 0.289639i | 0.987021 | − | 0.160594i | \(-0.0513409\pi\) |
−0.892911 | + | 0.450233i | \(0.851341\pi\) | |||||||
\(860\) | 2962.11 | + | 6604.44i | 0.117450 | + | 0.261871i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 422.254 | + | 1299.56i | 0.0166845 | + | 0.0513496i | ||||
\(863\) | −2788.93 | − | 8583.43i | −0.110007 | − | 0.338567i | 0.880866 | − | 0.473366i | \(-0.156961\pi\) |
−0.990873 | + | 0.134799i | \(0.956961\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6149.45 | + | 5567.46i | −0.241720 | + | 0.218843i | ||||
\(866\) | 387.879 | + | 1193.77i | 0.0152202 | + | 0.0468429i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 40353.6 | 1.57799 | ||||||||
\(869\) | 35423.4 | − | 25736.6i | 1.38280 | − | 1.00467i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2109.46 | + | 1532.61i | 0.0820624 | + | 0.0596218i | ||||
\(872\) | 2171.95 | + | 1578.02i | 0.0843482 | + | 0.0612826i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −82.5581 | −0.00319516 | ||||||||
\(875\) | −335.853 | − | 41009.2i | −0.0129759 | − | 1.58442i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7135.55 | − | 21961.0i | 0.274744 | − | 0.845575i | −0.714543 | − | 0.699591i | \(-0.753365\pi\) |
0.989287 | − | 0.145983i | \(-0.0466346\pi\) | |||||||
\(878\) | 1038.51 | + | 754.523i | 0.0399181 | + | 0.0290022i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 20220.4 | + | 11600.8i | 0.774581 | + | 0.444390i | ||||
\(881\) | −40232.0 | + | 29230.2i | −1.53853 | + | 1.11781i | −0.587289 | + | 0.809378i | \(0.699805\pi\) |
−0.951246 | + | 0.308433i | \(0.900195\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 35069.6 | − | 25479.6i | 1.33657 | − | 0.971071i | 0.337002 | − | 0.941504i | \(-0.390587\pi\) |
0.999563 | − | 0.0295676i | \(-0.00941303\pi\) | |||||||
\(884\) | −9224.29 | − | 28389.5i | −0.350958 | − | 1.08014i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −212.194 | + | 653.066i | −0.00804604 | + | 0.0247632i | ||||
\(887\) | −5550.36 | − | 17082.2i | −0.210105 | − | 0.646635i | −0.999465 | − | 0.0327054i | \(-0.989588\pi\) |
0.789360 | − | 0.613930i | \(-0.210412\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 14334.0 | − | 44115.4i | 0.540771 | − | 1.66432i | ||||
\(890\) | −423.742 | − | 944.790i | −0.0159594 | − | 0.0355836i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −6794.04 | + | 4936.16i | −0.255024 | + | 0.185286i | ||||
\(893\) | 1399.00 | 0.0524251 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9542.92 | + | 21277.2i | 0.356407 | + | 0.794659i | ||||
\(896\) | −7692.65 | − | 5589.04i | −0.286823 | − | 0.208389i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 488.172 | − | 1502.44i | 0.0181409 | − | 0.0558319i | ||||
\(899\) | 38045.9 | 1.41146 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 51506.5 | 1.90447 | ||||||||
\(902\) | −409.317 | + | 1259.75i | −0.0151095 | + | 0.0465022i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −300.345 | − | 218.213i | −0.0110501 | − | 0.00802839i | ||||
\(905\) | −36609.6 | + | 3948.90i | −1.34469 | + | 0.145045i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12383.8 | −0.453360 | −0.226680 | − | 0.973969i | \(-0.572787\pi\) | ||||
−0.226680 | + | 0.973969i | \(0.572787\pi\) | |||||||
\(908\) | −29667.4 | + | 21554.7i | −1.08430 | + | 0.787794i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1324.99 | − | 760.167i | −0.0482669 | − | 0.0276915i | ||||
\(911\) | −11233.4 | + | 34572.8i | −0.408539 | + | 1.25735i | 0.509366 | + | 0.860550i | \(0.329880\pi\) |
−0.917904 | + | 0.396802i | \(0.870120\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1862.45 | + | 5732.02i | 0.0675115 | + | 0.207779i | ||||
\(914\) | −299.299 | + | 921.147i | −0.0108314 | + | 0.0333357i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2909.07 | − | 8953.21i | −0.104933 | − | 0.322950i | ||||
\(917\) | −54507.8 | + | 39602.2i | −1.96293 | + | 1.42615i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −24485.4 | + | 17789.7i | −0.878888 | + | 0.638550i | −0.932957 | − | 0.359988i | \(-0.882781\pi\) |
0.0540689 | + | 0.998537i | \(0.482781\pi\) | |||||||
\(920\) | −753.670 | + | 3593.95i | −0.0270084 | + | 0.128793i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1038.98 | + | 754.862i | 0.0371116 | + | 0.0269632i | ||||
\(923\) | −4846.11 | + | 14914.8i | −0.172819 | + | 0.531881i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −17297.7 | + | 19423.3i | −0.614859 | + | 0.690414i | ||||
\(926\) | −1354.43 | −0.0480663 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −5442.47 | − | 3954.18i | −0.192519 | − | 0.139873i | ||||
\(929\) | −12249.3 | − | 8899.62i | −0.432601 | − | 0.314303i | 0.350087 | − | 0.936717i | \(-0.386152\pi\) |
−0.782688 | + | 0.622414i | \(0.786152\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1683.11 | − | 1222.85i | 0.0592499 | − | 0.0430476i | ||||
\(932\) | 53010.8 | 1.86312 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −39.9542 | − | 122.966i | −0.00139972 | − | 0.00430790i | ||||
\(935\) | 9677.58 | − | 46148.5i | 0.338493 | − | 1.61414i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12281.9 | + | 37799.9i | 0.428211 | + | 1.31790i | 0.899886 | + | 0.436126i | \(0.143650\pi\) |
−0.471675 | + | 0.881773i | \(0.656350\pi\) | |||||||
\(938\) | −129.166 | − | 397.532i | −0.00449618 | − | 0.0138378i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 6375.53 | − | 30402.4i | 0.221220 | − | 1.05491i | ||||
\(941\) | 202.289 | + | 622.581i | 0.00700789 | + | 0.0215681i | 0.954499 | − | 0.298213i | \(-0.0963906\pi\) |
−0.947491 | + | 0.319781i | \(0.896391\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 32552.0 | 1.12411 | ||||||||
\(944\) | 32594.4 | − | 23681.2i | 1.12379 | − | 0.816481i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 344.547 | + | 250.328i | 0.0118416 | + | 0.00860345i | ||||
\(947\) | 23454.4 | + | 17040.6i | 0.804820 | + | 0.584736i | 0.912324 | − | 0.409468i | \(-0.134286\pi\) |
−0.107504 | + | 0.994205i | \(0.534286\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2661.77 | −0.0910481 | ||||||||
\(950\) | −53.2372 | + | 59.7791i | −0.00181815 | + | 0.00204157i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2962.15 | + | 9116.55i | −0.100844 | + | 0.310367i | ||||
\(953\) | 40357.9 | + | 29321.7i | 1.37179 | + | 0.996667i | 0.997595 | + | 0.0693187i | \(0.0220825\pi\) |
0.374200 | + | 0.927348i | \(0.377917\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8419.68 | + | 40150.1i | −0.285292 | + | 1.36045i | ||||
\(956\) | 10438.9 | − | 7584.33i | 0.353158 | − | 0.256585i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 860.229 | − | 624.993i | 0.0290112 | − | 0.0210779i | ||||
\(959\) | 23177.9 | + | 71334.2i | 0.780451 | + | 2.40198i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.8730 | + | 51.9297i | −0.000566378 | + | 0.00174313i | ||||
\(962\) | 299.371 | + | 921.370i | 0.0100334 | + | 0.0308796i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1895.52 | − | 5833.82i | 0.0633306 | − | 0.194912i | ||||
\(965\) | −32827.3 | − | 18833.5i | −1.09507 | − | 0.628262i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32490.0 | − | 23605.4i | 1.08046 | − | 0.785002i | 0.102699 | − | 0.994712i | \(-0.467252\pi\) |
0.977764 | + | 0.209711i | \(0.0672522\pi\) | |||||||
\(968\) | −634.538 | −0.0210690 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2940.72 | + | 317.201i | −0.0973411 | + | 0.0104997i | ||||
\(971\) | −28722.9 | − | 20868.4i | −0.949291 | − | 0.689701i | 0.00134777 | − | 0.999999i | \(-0.499571\pi\) |
−0.950639 | + | 0.310299i | \(0.899571\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −21354.2 | + | 65721.6i | −0.703582 | + | 2.16540i | ||||
\(974\) | 619.934 | 0.0203942 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −22786.4 | −0.747309 | ||||||||
\(977\) | 14940.7 | − | 45982.6i | 0.489247 | − | 1.50575i | −0.336488 | − | 0.941688i | \(-0.609239\pi\) |
0.825735 | − | 0.564059i | \(-0.190761\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15453.3 | + | 11227.5i | 0.504484 | + | 0.366529i | ||||
\(980\) | −18904.1 | − | 42149.4i | −0.616195 | − | 1.37389i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1775.69 | 0.0577033 | ||||||||
\(983\) | −3916.78 | + | 2845.71i | −0.127086 | + | 0.0923336i | −0.649513 | − | 0.760351i | \(-0.725027\pi\) |
0.522426 | + | 0.852684i | \(0.325027\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1166.36 | − | 2600.56i | −0.0377293 | − | 0.0841225i | ||||
\(986\) | −1394.15 | + | 4290.76i | −0.0450293 | + | 0.138586i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −288.876 | − | 889.069i | −0.00930200 | − | 0.0286286i | ||||
\(989\) | 3234.25 | − | 9953.99i | 0.103987 | − | 0.320039i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13338.1 | − | 41050.3i | −0.427545 | − | 1.31585i | −0.900536 | − | 0.434782i | \(-0.856826\pi\) |
0.472991 | − | 0.881068i | \(-0.343174\pi\) | |||||||
\(992\) | −4253.79 | + | 3090.56i | −0.136147 | + | 0.0989167i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2033.86 | − | 1477.68i | 0.0648994 | − | 0.0471522i | ||||
\(995\) | −15403.7 | − | 8837.35i | −0.490784 | − | 0.281571i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16995.7 | − | 12348.1i | −0.539880 | − | 0.392246i | 0.284161 | − | 0.958777i | \(-0.408285\pi\) |
−0.824040 | + | 0.566531i | \(0.808285\pi\) | |||||||
\(998\) | −916.703 | + | 2821.32i | −0.0290759 | + | 0.0894863i | ||||
\(999\) | 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 | 225.4.h.d.46.8 | ✓ | 64 | |
3.2 | odd | 2 | inner | 225.4.h.d.46.9 | yes | 64 | |
25.6 | even | 5 | inner | 225.4.h.d.181.8 | yes | 64 | |
75.56 | odd | 10 | inner | 225.4.h.d.181.9 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.4.h.d.46.8 | ✓ | 64 | 1.1 | even | 1 | trivial | |
225.4.h.d.46.9 | yes | 64 | 3.2 | odd | 2 | inner | |
225.4.h.d.181.8 | yes | 64 | 25.6 | even | 5 | inner | |
225.4.h.d.181.9 | yes | 64 | 75.56 | odd | 10 | inner |