Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,4,Mod(109,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.109");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.e (of order \(3\), degree \(2\), 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: | \(11.1513609911\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 40x^{10} + 1147x^{8} + 15564x^{6} + 154089x^{4} + 578934x^{2} + 1633284 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{4}\cdot 3^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 109.3 | ||
Root | \(1.02968 - 1.78345i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.109 |
Dual form | 189.4.e.e.163.3 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02968 | − | 1.78345i | −0.364046 | − | 0.630546i | 0.624576 | − | 0.780964i | \(-0.285272\pi\) |
−0.988623 | + | 0.150417i | \(0.951938\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.87953 | − | 3.25543i | 0.234941 | − | 0.406929i | ||||
\(5\) | −7.25204 | − | 12.5609i | −0.648643 | − | 1.12348i | −0.983447 | − | 0.181194i | \(-0.942004\pi\) |
0.334805 | − | 0.942288i | \(-0.391330\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −7.76857 | + | 16.8122i | −0.419463 | + | 0.907772i | ||||
\(8\) | −24.2161 | −1.07021 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −14.9345 | + | 25.8674i | −0.472272 | + | 0.817999i | ||||
\(11\) | −14.9047 | + | 25.8157i | −0.408539 | + | 0.707610i | −0.994726 | − | 0.102565i | \(-0.967295\pi\) |
0.586187 | + | 0.810176i | \(0.300628\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −13.3320 | −0.284432 | −0.142216 | − | 0.989836i | \(-0.545423\pi\) | ||||
−0.142216 | + | 0.989836i | \(0.545423\pi\) | |||||||
\(14\) | 37.9829 | − | 3.45625i | 0.725097 | − | 0.0659800i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 9.89856 | + | 17.1448i | 0.154665 | + | 0.267888i | ||||
\(17\) | 32.1415 | − | 55.6707i | 0.458557 | − | 0.794243i | −0.540328 | − | 0.841454i | \(-0.681700\pi\) |
0.998885 | + | 0.0472110i | \(0.0150333\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 55.1748 | + | 95.5655i | 0.666209 | + | 1.15391i | 0.978956 | + | 0.204071i | \(0.0654173\pi\) |
−0.312747 | + | 0.949836i | \(0.601249\pi\) | |||||||
\(20\) | −54.5216 | −0.609570 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 61.3881 | 0.594908 | ||||||||
\(23\) | −9.67280 | − | 16.7538i | −0.0876921 | − | 0.151887i | 0.818843 | − | 0.574017i | \(-0.194616\pi\) |
−0.906535 | + | 0.422130i | \(0.861282\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −42.6843 | + | 73.9314i | −0.341474 | + | 0.591451i | ||||
\(26\) | 13.7276 | + | 23.7769i | 0.103546 | + | 0.179348i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 40.1297 | + | 56.8890i | 0.270850 | + | 0.383965i | ||||
\(29\) | −111.113 | −0.711487 | −0.355744 | − | 0.934584i | \(-0.615772\pi\) | ||||
−0.355744 | + | 0.934584i | \(0.615772\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −96.4689 | + | 167.089i | −0.558914 | + | 0.968067i | 0.438674 | + | 0.898646i | \(0.355448\pi\) |
−0.997587 | + | 0.0694206i | \(0.977885\pi\) | |||||||
\(32\) | −76.4797 | + | 132.467i | −0.422494 | + | 0.731782i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −132.382 | −0.667743 | ||||||||
\(35\) | 267.514 | − | 24.3424i | 1.29195 | − | 0.117561i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 35.7607 | + | 61.9393i | 0.158892 | + | 0.275210i | 0.934470 | − | 0.356043i | \(-0.115874\pi\) |
−0.775577 | + | 0.631253i | \(0.782541\pi\) | |||||||
\(38\) | 113.625 | − | 196.803i | 0.485061 | − | 0.840151i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 175.616 | + | 304.176i | 0.694183 | + | 1.20236i | ||||
\(41\) | −277.562 | −1.05727 | −0.528634 | − | 0.848850i | \(-0.677296\pi\) | ||||
−0.528634 | + | 0.848850i | \(0.677296\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −178.522 | −0.633124 | −0.316562 | − | 0.948572i | \(-0.602528\pi\) | ||||
−0.316562 | + | 0.948572i | \(0.602528\pi\) | |||||||
\(44\) | 56.0275 | + | 97.0424i | 0.191965 | + | 0.332493i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −19.9197 | + | 34.5020i | −0.0638479 | + | 0.110588i | ||||
\(47\) | 265.937 | + | 460.617i | 0.825338 | + | 1.42953i | 0.901660 | + | 0.432445i | \(0.142349\pi\) |
−0.0763219 | + | 0.997083i | \(0.524318\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −222.299 | − | 261.213i | −0.648101 | − | 0.761554i | ||||
\(50\) | 175.804 | 0.497250 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −25.0578 | + | 43.4013i | −0.0668247 | + | 0.115744i | ||||
\(53\) | 155.416 | − | 269.188i | 0.402793 | − | 0.697658i | −0.591269 | − | 0.806475i | \(-0.701373\pi\) |
0.994062 | + | 0.108816i | \(0.0347061\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 432.357 | 1.05998 | ||||||||
\(56\) | 188.124 | − | 407.125i | 0.448913 | − | 0.971507i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 114.410 | + | 198.165i | 0.259014 | + | 0.448626i | ||||
\(59\) | −361.012 | + | 625.290i | −0.796605 | + | 1.37976i | 0.125210 | + | 0.992130i | \(0.460040\pi\) |
−0.921815 | + | 0.387630i | \(0.873294\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −331.535 | − | 574.235i | −0.695880 | − | 1.20530i | −0.969883 | − | 0.243571i | \(-0.921681\pi\) |
0.274003 | − | 0.961729i | \(-0.411652\pi\) | |||||||
\(62\) | 397.328 | 0.813882 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 473.375 | 0.924560 | ||||||||
\(65\) | 96.6839 | + | 167.461i | 0.184495 | + | 0.319554i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 304.279 | − | 527.027i | 0.554830 | − | 0.960994i | −0.443086 | − | 0.896479i | \(-0.646116\pi\) |
0.997917 | − | 0.0645154i | \(-0.0205502\pi\) | |||||||
\(68\) | −120.822 | − | 209.269i | −0.215467 | − | 0.373200i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −318.867 | − | 452.035i | −0.544456 | − | 0.771836i | ||||
\(71\) | −976.305 | −1.63192 | −0.815958 | − | 0.578111i | \(-0.803790\pi\) | ||||
−0.815958 | + | 0.578111i | \(0.803790\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −130.574 | + | 226.161i | −0.209350 | + | 0.362605i | −0.951510 | − | 0.307618i | \(-0.900468\pi\) |
0.742160 | + | 0.670223i | \(0.233801\pi\) | |||||||
\(74\) | 73.6440 | − | 127.555i | 0.115688 | − | 0.200378i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 414.810 | 0.626078 | ||||||||
\(77\) | −318.229 | − | 451.131i | −0.470982 | − | 0.667677i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −618.075 | − | 1070.54i | −0.880239 | − | 1.52462i | −0.851075 | − | 0.525044i | \(-0.824049\pi\) |
−0.0291637 | − | 0.999575i | \(-0.509284\pi\) | |||||||
\(80\) | 143.570 | − | 248.670i | 0.200645 | − | 0.347527i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 285.800 | + | 495.020i | 0.384894 | + | 0.666656i | ||||
\(83\) | −1225.79 | −1.62106 | −0.810529 | − | 0.585699i | \(-0.800820\pi\) | ||||
−0.810529 | + | 0.585699i | \(0.800820\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −932.367 | −1.18976 | ||||||||
\(86\) | 183.820 | + | 318.386i | 0.230486 | + | 0.399214i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 360.933 | − | 625.154i | 0.437222 | − | 0.757291i | ||||
\(89\) | −395.991 | − | 685.876i | −0.471629 | − | 0.816885i | 0.527845 | − | 0.849341i | \(-0.323000\pi\) |
−0.999473 | + | 0.0324564i | \(0.989667\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 103.570 | − | 224.139i | 0.119309 | − | 0.258200i | ||||
\(92\) | −72.7211 | −0.0824098 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 547.659 | − | 948.573i | 0.600923 | − | 1.04083i | ||||
\(95\) | 800.260 | − | 1386.09i | 0.864263 | − | 1.49695i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −935.253 | −0.978975 | −0.489488 | − | 0.872010i | \(-0.662816\pi\) | ||||
−0.489488 | + | 0.872010i | \(0.662816\pi\) | |||||||
\(98\) | −236.966 | + | 665.425i | −0.244256 | + | 0.685899i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 160.453 | + | 277.912i | 0.160453 | + | 0.277912i | ||||
\(101\) | −221.485 | + | 383.623i | −0.218203 | + | 0.377940i | −0.954259 | − | 0.298982i | \(-0.903353\pi\) |
0.736055 | + | 0.676921i | \(0.236686\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 349.700 | + | 605.699i | 0.334534 | + | 0.579430i | 0.983395 | − | 0.181477i | \(-0.0580878\pi\) |
−0.648861 | + | 0.760907i | \(0.724754\pi\) | |||||||
\(104\) | 322.848 | 0.304402 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −640.114 | −0.586541 | ||||||||
\(107\) | 955.591 | + | 1655.13i | 0.863369 | + | 1.49540i | 0.868657 | + | 0.495413i | \(0.164983\pi\) |
−0.00528834 | + | 0.999986i | \(0.501683\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1035.71 | − | 1793.90i | 0.910118 | − | 1.57637i | 0.0962224 | − | 0.995360i | \(-0.469324\pi\) |
0.813896 | − | 0.581011i | \(-0.197343\pi\) | |||||||
\(110\) | −445.189 | − | 771.090i | −0.385883 | − | 0.668369i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −365.139 | + | 33.2258i | −0.308057 | + | 0.0280316i | ||||
\(113\) | 2313.34 | 1.92585 | 0.962926 | − | 0.269767i | \(-0.0869467\pi\) | ||||
0.962926 | + | 0.269767i | \(0.0869467\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −140.295 | + | 242.998i | −0.113762 | + | 0.197041i | ||||
\(116\) | −208.839 | + | 361.721i | −0.167157 | + | 0.289525i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1486.90 | 1.16000 | ||||||||
\(119\) | 686.253 | + | 972.851i | 0.528644 | + | 0.749421i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 221.201 | + | 383.132i | 0.166192 | + | 0.287853i | ||||
\(122\) | −682.748 | + | 1182.55i | −0.506665 | + | 0.877570i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 362.632 | + | 628.096i | 0.262623 | + | 0.454877i | ||||
\(125\) | −574.817 | −0.411306 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1317.50 | −0.920542 | −0.460271 | − | 0.887778i | \(-0.652248\pi\) | ||||
−0.460271 | + | 0.887778i | \(0.652248\pi\) | |||||||
\(128\) | 124.414 | + | 215.491i | 0.0859119 | + | 0.148804i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 199.107 | − | 344.863i | 0.134329 | − | 0.232665i | ||||
\(131\) | −229.421 | − | 397.368i | −0.153012 | − | 0.265024i | 0.779321 | − | 0.626624i | \(-0.215564\pi\) |
−0.932333 | + | 0.361600i | \(0.882231\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2035.29 | + | 185.201i | −1.32694 | + | 0.120744i | ||||
\(134\) | −1253.24 | −0.807935 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −778.341 | + | 1348.13i | −0.490752 | + | 0.850007i | ||||
\(137\) | 666.378 | − | 1154.20i | 0.415566 | − | 0.719781i | −0.579922 | − | 0.814672i | \(-0.696917\pi\) |
0.995488 | + | 0.0948911i | \(0.0302503\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −406.835 | −0.248254 | −0.124127 | − | 0.992266i | \(-0.539613\pi\) | ||||
−0.124127 | + | 0.992266i | \(0.539613\pi\) | |||||||
\(140\) | 423.555 | − | 916.627i | 0.255692 | − | 0.553351i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1005.28 | + | 1741.20i | 0.594093 | + | 1.02900i | ||||
\(143\) | 198.708 | − | 344.173i | 0.116202 | − | 0.201267i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 805.795 | + | 1395.68i | 0.461501 | + | 0.799343i | ||||
\(146\) | 537.797 | 0.304852 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 268.853 | 0.149321 | ||||||||
\(149\) | −217.761 | − | 377.174i | −0.119730 | − | 0.207378i | 0.799931 | − | 0.600092i | \(-0.204869\pi\) |
−0.919660 | + | 0.392714i | \(0.871536\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 982.668 | − | 1702.03i | 0.529592 | − | 0.917280i | −0.469812 | − | 0.882766i | \(-0.655678\pi\) |
0.999404 | − | 0.0345136i | \(-0.0109882\pi\) | |||||||
\(152\) | −1336.12 | − | 2314.22i | −0.712983 | − | 1.23492i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −476.897 | + | 1032.07i | −0.249542 | + | 0.540041i | ||||
\(155\) | 2798.39 | 1.45014 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −415.741 | + | 720.085i | −0.211336 | + | 0.366045i | −0.952133 | − | 0.305684i | \(-0.901115\pi\) |
0.740797 | + | 0.671729i | \(0.234448\pi\) | |||||||
\(158\) | −1272.84 | + | 2204.62i | −0.640895 | + | 1.11006i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2218.54 | 1.09619 | ||||||||
\(161\) | 356.811 | − | 32.4680i | 0.174663 | − | 0.0158934i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 588.061 | + | 1018.55i | 0.282579 | + | 0.489442i | 0.972019 | − | 0.234901i | \(-0.0754766\pi\) |
−0.689440 | + | 0.724343i | \(0.742143\pi\) | |||||||
\(164\) | −521.686 | + | 903.587i | −0.248395 | + | 0.430233i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1262.17 | + | 2186.14i | 0.590140 | + | 1.02215i | ||||
\(167\) | −1674.29 | −0.775809 | −0.387905 | − | 0.921700i | \(-0.626801\pi\) | ||||
−0.387905 | + | 0.921700i | \(0.626801\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2019.26 | −0.919098 | ||||||||
\(170\) | 960.038 | + | 1662.83i | 0.433127 | + | 0.750197i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −335.536 | + | 581.166i | −0.148747 | + | 0.257637i | ||||
\(173\) | 716.460 | + | 1240.95i | 0.314864 | + | 0.545360i | 0.979409 | − | 0.201888i | \(-0.0647078\pi\) |
−0.664545 | + | 0.747249i | \(0.731374\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −911.352 | − | 1291.96i | −0.393667 | − | 0.558073i | ||||
\(176\) | −590.139 | −0.252747 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −815.486 | + | 1412.46i | −0.343389 | + | 0.594767i | ||||
\(179\) | −597.265 | + | 1034.49i | −0.249395 | + | 0.431965i | −0.963358 | − | 0.268219i | \(-0.913565\pi\) |
0.713963 | + | 0.700183i | \(0.246898\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 741.424 | 0.304473 | 0.152236 | − | 0.988344i | \(-0.451352\pi\) | ||||
0.152236 | + | 0.988344i | \(0.451352\pi\) | |||||||
\(182\) | −506.386 | + | 46.0785i | −0.206241 | + | 0.0187668i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 234.237 | + | 405.711i | 0.0938489 | + | 0.162551i | ||||
\(185\) | 518.676 | − | 898.373i | 0.206129 | − | 0.357026i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 958.118 | + | 1659.51i | 0.374676 | + | 0.648959i | ||||
\(188\) | 1999.34 | 0.775623 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3296.04 | −1.25853 | ||||||||
\(191\) | −1951.99 | − | 3380.95i | −0.739483 | − | 1.28082i | −0.952728 | − | 0.303823i | \(-0.901737\pi\) |
0.213246 | − | 0.976999i | \(-0.431597\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −885.627 | + | 1533.95i | −0.330305 | + | 0.572104i | −0.982572 | − | 0.185885i | \(-0.940485\pi\) |
0.652267 | + | 0.757989i | \(0.273818\pi\) | |||||||
\(194\) | 963.010 | + | 1667.98i | 0.356392 | + | 0.617289i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1268.18 | + | 232.722i | −0.462164 | + | 0.0848113i | ||||
\(197\) | −830.366 | −0.300310 | −0.150155 | − | 0.988662i | \(-0.547977\pi\) | ||||
−0.150155 | + | 0.988662i | \(0.547977\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −531.253 | + | 920.156i | −0.189244 | + | 0.327780i | −0.944998 | − | 0.327075i | \(-0.893937\pi\) |
0.755755 | + | 0.654855i | \(0.227270\pi\) | |||||||
\(200\) | 1033.65 | − | 1790.33i | 0.365449 | − | 0.632977i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 912.232 | 0.317745 | ||||||||
\(203\) | 863.187 | − | 1868.05i | 0.298443 | − | 0.645869i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2012.90 | + | 3486.44i | 0.685789 | + | 1.18782i | ||||
\(206\) | 720.158 | − | 1247.35i | 0.243572 | − | 0.421878i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −131.967 | − | 228.574i | −0.0439917 | − | 0.0761958i | ||||
\(209\) | −3289.45 | −1.08869 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3848.67 | −1.25570 | −0.627851 | − | 0.778333i | \(-0.716065\pi\) | ||||
−0.627851 | + | 0.778333i | \(0.716065\pi\) | |||||||
\(212\) | −584.217 | − | 1011.89i | −0.189265 | − | 0.327817i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1967.90 | − | 3408.51i | 0.628612 | − | 1.08879i | ||||
\(215\) | 1294.65 | + | 2242.40i | 0.410671 | + | 0.711303i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2059.71 | − | 2919.89i | −0.644341 | − | 0.913435i | ||||
\(218\) | −4265.79 | −1.32530 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 812.627 | − | 1407.51i | 0.249033 | − | 0.431338i | ||||
\(221\) | −428.509 | + | 742.200i | −0.130428 | + | 0.225908i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5482.75 | 1.64642 | 0.823211 | − | 0.567736i | \(-0.192181\pi\) | ||||
0.823211 | + | 0.567736i | \(0.192181\pi\) | |||||||
\(224\) | −1632.92 | − | 2314.87i | −0.487070 | − | 0.690484i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2382.00 | − | 4125.75i | −0.701099 | − | 1.21434i | ||||
\(227\) | 197.418 | − | 341.939i | 0.0577230 | − | 0.0999791i | −0.835720 | − | 0.549156i | \(-0.814949\pi\) |
0.893443 | + | 0.449177i | \(0.148283\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1911.78 | + | 3311.30i | 0.551678 | + | 0.955534i | 0.998154 | + | 0.0607380i | \(0.0193454\pi\) |
−0.446476 | + | 0.894796i | \(0.647321\pi\) | |||||||
\(230\) | 577.835 | 0.165658 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2690.72 | 0.761441 | ||||||||
\(233\) | −1268.77 | − | 2197.57i | −0.356738 | − | 0.617888i | 0.630676 | − | 0.776046i | \(-0.282778\pi\) |
−0.987414 | + | 0.158159i | \(0.949444\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3857.17 | − | 6680.82i | 1.07070 | − | 1.85451i | ||||
\(236\) | 1357.06 | + | 2350.50i | 0.374310 | + | 0.648324i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1028.42 | − | 2225.62i | 0.280094 | − | 0.606159i | ||||
\(239\) | −5368.81 | −1.45305 | −0.726526 | − | 0.687139i | \(-0.758866\pi\) | ||||
−0.726526 | + | 0.687139i | \(0.758866\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1054.01 | + | 1825.60i | −0.281721 | + | 0.487955i | −0.971809 | − | 0.235771i | \(-0.924239\pi\) |
0.690088 | + | 0.723726i | \(0.257572\pi\) | |||||||
\(242\) | 455.532 | − | 789.005i | 0.121003 | − | 0.209583i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2492.51 | −0.653962 | ||||||||
\(245\) | −1668.95 | + | 4686.60i | −0.435206 | + | 1.22211i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −735.588 | − | 1274.08i | −0.189491 | − | 0.328208i | ||||
\(248\) | 2336.10 | − | 4046.24i | 0.598155 | − | 1.03603i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 591.877 | + | 1025.16i | 0.149734 | + | 0.259347i | ||||
\(251\) | 5717.94 | 1.43790 | 0.718951 | − | 0.695061i | \(-0.244623\pi\) | ||||
0.718951 | + | 0.695061i | \(0.244623\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 576.680 | 0.143303 | ||||||||
\(254\) | 1356.60 | + | 2349.69i | 0.335120 | + | 0.580445i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2149.71 | − | 3723.41i | 0.524832 | − | 0.909035i | ||||
\(257\) | 2493.73 | + | 4319.28i | 0.605272 | + | 1.04836i | 0.992008 | + | 0.126172i | \(0.0402690\pi\) |
−0.386736 | + | 0.922190i | \(0.626398\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1319.14 | + | 120.035i | −0.316477 | + | 0.0287978i | ||||
\(260\) | 726.880 | 0.173381 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −472.459 | + | 818.322i | −0.111407 | + | 0.192962i | ||||
\(263\) | 307.637 | − | 532.842i | 0.0721281 | − | 0.124930i | −0.827706 | − | 0.561162i | \(-0.810354\pi\) |
0.899834 | + | 0.436233i | \(0.143688\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4508.34 | −1.04508 | ||||||||
\(266\) | 2426.00 | + | 3439.16i | 0.559200 | + | 0.792738i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1143.80 | − | 1981.12i | −0.260705 | − | 0.451553i | ||||
\(269\) | −396.981 | + | 687.591i | −0.0899790 | + | 0.155848i | −0.907502 | − | 0.420048i | \(-0.862013\pi\) |
0.817523 | + | 0.575896i | \(0.195347\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1882.47 | − | 3260.54i | −0.421964 | − | 0.730862i | 0.574168 | − | 0.818738i | \(-0.305326\pi\) |
−0.996131 | + | 0.0878752i | \(0.971992\pi\) | |||||||
\(272\) | 1272.62 | 0.283690 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2744.62 | −0.605141 | ||||||||
\(275\) | −1272.39 | − | 2203.85i | −0.279011 | − | 0.483262i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1598.27 | − | 2768.29i | 0.346682 | − | 0.600471i | −0.638976 | − | 0.769227i | \(-0.720642\pi\) |
0.985658 | + | 0.168756i | \(0.0539750\pi\) | |||||||
\(278\) | 418.909 | + | 725.571i | 0.0903758 | + | 0.156535i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6478.15 | + | 589.478i | −1.38265 | + | 0.125814i | ||||
\(281\) | 6225.15 | 1.32157 | 0.660785 | − | 0.750575i | \(-0.270223\pi\) | ||||
0.660785 | + | 0.750575i | \(0.270223\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1858.75 | − | 3219.45i | 0.390429 | − | 0.676242i | −0.602077 | − | 0.798438i | \(-0.705660\pi\) |
0.992506 | + | 0.122195i | \(0.0389935\pi\) | |||||||
\(284\) | −1834.99 | + | 3178.30i | −0.383404 | + | 0.664075i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −818.423 | −0.169211 | ||||||||
\(287\) | 2156.26 | − | 4666.43i | 0.443485 | − | 0.959758i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 390.347 | + | 676.100i | 0.0794518 | + | 0.137615i | ||||
\(290\) | 1659.42 | − | 2874.20i | 0.336015 | − | 0.581996i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 490.835 | + | 850.151i | 0.0983696 | + | 0.170381i | ||||
\(293\) | 6392.56 | 1.27460 | 0.637299 | − | 0.770616i | \(-0.280052\pi\) | ||||
0.637299 | + | 0.770616i | \(0.280052\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10472.3 | 2.06685 | ||||||||
\(296\) | −865.983 | − | 1499.93i | −0.170048 | − | 0.294532i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −448.448 | + | 776.735i | −0.0871742 | + | 0.150990i | ||||
\(299\) | 128.957 | + | 223.361i | 0.0249425 | + | 0.0432016i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1386.86 | − | 3001.34i | 0.265572 | − | 0.574732i | ||||
\(302\) | −4047.33 | −0.771183 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1092.30 | + | 1891.92i | −0.206078 | + | 0.356938i | ||||
\(305\) | −4808.61 | + | 8328.76i | −0.902755 | + | 1.56362i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 939.255 | 0.174613 | 0.0873063 | − | 0.996182i | \(-0.472174\pi\) | ||||
0.0873063 | + | 0.996182i | \(0.472174\pi\) | |||||||
\(308\) | −2066.75 | + | 188.063i | −0.382350 | + | 0.0347919i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2881.44 | − | 4990.80i | −0.527918 | − | 0.914381i | ||||
\(311\) | −1375.81 | + | 2382.97i | −0.250851 | + | 0.434487i | −0.963760 | − | 0.266769i | \(-0.914044\pi\) |
0.712909 | + | 0.701257i | \(0.247377\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 318.550 | + | 551.744i | 0.0575255 | + | 0.0996372i | 0.893354 | − | 0.449353i | \(-0.148346\pi\) |
−0.835829 | + | 0.548991i | \(0.815012\pi\) | |||||||
\(314\) | 1712.32 | 0.307744 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4646.75 | −0.827216 | ||||||||
\(317\) | −1436.10 | − | 2487.39i | −0.254445 | − | 0.440712i | 0.710299 | − | 0.703900i | \(-0.248560\pi\) |
−0.964745 | + | 0.263187i | \(0.915226\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1656.10 | − | 2868.45i | 0.290670 | − | 0.503456i | ||||
\(320\) | −3432.93 | − | 5946.02i | −0.599709 | − | 1.03873i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −425.306 | − | 602.925i | −0.0736068 | − | 0.104347i | ||||
\(323\) | 7093.60 | 1.22198 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 569.065 | − | 985.650i | 0.0971263 | − | 0.168228i | ||||
\(326\) | 1211.03 | − | 2097.56i | 0.205744 | − | 0.356359i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6721.47 | 1.13150 | ||||||||
\(329\) | −9809.92 | + | 892.651i | −1.64389 | + | 0.149585i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3196.80 | + | 5537.02i | 0.530852 | + | 0.919463i | 0.999352 | + | 0.0359995i | \(0.0114615\pi\) |
−0.468499 | + | 0.883464i | \(0.655205\pi\) | |||||||
\(332\) | −2303.90 | + | 3990.47i | −0.380852 | + | 0.659656i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1723.98 | + | 2986.01i | 0.282430 | + | 0.489184i | ||||
\(335\) | −8826.59 | −1.43955 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12107.6 | −1.95710 | −0.978549 | − | 0.206016i | \(-0.933950\pi\) | ||||
−0.978549 | + | 0.206016i | \(0.933950\pi\) | |||||||
\(338\) | 2079.19 | + | 3601.26i | 0.334594 | + | 0.579534i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1752.41 | + | 3035.26i | −0.279522 | + | 0.484147i | ||||
\(341\) | −2875.68 | − | 4980.82i | −0.456676 | − | 0.790986i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6118.50 | − | 1708.08i | 0.963172 | − | 0.268884i | ||||
\(344\) | 4323.10 | 0.677575 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1475.45 | − | 2555.55i | 0.229250 | − | 0.397073i | ||||
\(347\) | 1355.07 | − | 2347.05i | 0.209636 | − | 0.363101i | −0.741964 | − | 0.670440i | \(-0.766105\pi\) |
0.951600 | + | 0.307339i | \(0.0994386\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1175.22 | −0.180252 | −0.0901261 | − | 0.995930i | \(-0.528727\pi\) | ||||
−0.0901261 | + | 0.995930i | \(0.528727\pi\) | |||||||
\(350\) | −1365.75 | + | 2955.65i | −0.208578 | + | 0.451390i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2279.81 | − | 3948.74i | −0.345211 | − | 0.597923i | ||||
\(353\) | 2638.20 | − | 4569.50i | 0.397783 | − | 0.688980i | −0.595669 | − | 0.803230i | \(-0.703113\pi\) |
0.993452 | + | 0.114250i | \(0.0364464\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7080.21 | + | 12263.3i | 1.05853 | + | 1.83343i | ||||
\(356\) | −2977.10 | −0.443219 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2459.96 | 0.363165 | ||||||||
\(359\) | −5643.27 | − | 9774.43i | −0.829639 | − | 1.43698i | −0.898322 | − | 0.439338i | \(-0.855213\pi\) |
0.0686829 | − | 0.997639i | \(-0.478120\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2659.01 | + | 4605.55i | −0.387668 | + | 0.671460i | ||||
\(362\) | −763.428 | − | 1322.30i | −0.110842 | − | 0.191984i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −535.008 | − | 758.441i | −0.0770385 | − | 0.109212i | ||||
\(365\) | 3787.72 | 0.543173 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3783.80 | + | 6553.73i | −0.538181 | + | 0.932158i | 0.460821 | + | 0.887493i | \(0.347555\pi\) |
−0.999002 | + | 0.0446643i | \(0.985778\pi\) | |||||||
\(368\) | 191.493 | − | 331.676i | 0.0271258 | − | 0.0469832i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2136.28 | −0.300162 | ||||||||
\(371\) | 3318.29 | + | 4704.09i | 0.464358 | + | 0.658286i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3251.99 | + | 5632.61i | 0.451425 | + | 0.781891i | 0.998475 | − | 0.0552092i | \(-0.0175826\pi\) |
−0.547050 | + | 0.837100i | \(0.684249\pi\) | |||||||
\(374\) | 1973.11 | − | 3417.52i | 0.272799 | − | 0.472502i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6439.95 | − | 11154.3i | −0.883285 | − | 1.52989i | ||||
\(377\) | 1481.35 | 0.202370 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10773.8 | 1.46019 | 0.730097 | − | 0.683344i | \(-0.239475\pi\) | ||||
0.730097 | + | 0.683344i | \(0.239475\pi\) | |||||||
\(380\) | −3008.22 | − | 5210.39i | −0.406101 | − | 0.703388i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4019.85 | + | 6962.58i | −0.538412 | + | 0.932557i | ||||
\(383\) | −3183.06 | − | 5513.23i | −0.424666 | − | 0.735542i | 0.571724 | − | 0.820446i | \(-0.306275\pi\) |
−0.996389 | + | 0.0849039i | \(0.972942\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3358.80 | + | 7268.87i | −0.444624 | + | 0.962223i | ||||
\(386\) | 3647.64 | 0.480985 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1757.83 | + | 3044.66i | −0.230001 | + | 0.398374i | ||||
\(389\) | −2951.72 | + | 5112.53i | −0.384725 | + | 0.666363i | −0.991731 | − | 0.128334i | \(-0.959037\pi\) |
0.607006 | + | 0.794697i | \(0.292370\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1243.59 | −0.160847 | ||||||||
\(392\) | 5383.20 | + | 6325.56i | 0.693604 | + | 0.815022i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 855.010 | + | 1480.92i | 0.109327 | + | 0.189360i | ||||
\(395\) | −8964.62 | + | 15527.2i | −1.14192 | + | 1.97786i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1883.39 | − | 3262.13i | −0.238097 | − | 0.412397i | 0.722071 | − | 0.691819i | \(-0.243190\pi\) |
−0.960168 | + | 0.279422i | \(0.909857\pi\) | |||||||
\(398\) | 2188.08 | 0.275574 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1690.05 | −0.211256 | ||||||||
\(401\) | 3626.00 | + | 6280.42i | 0.451556 | + | 0.782118i | 0.998483 | − | 0.0550625i | \(-0.0175358\pi\) |
−0.546927 | + | 0.837180i | \(0.684202\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1286.12 | − | 2227.62i | 0.158973 | − | 0.275349i | ||||
\(404\) | 832.573 | + | 1442.06i | 0.102530 | + | 0.177587i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4220.39 | + | 384.033i | −0.515897 | + | 0.0469440i | ||||
\(407\) | −2132.01 | −0.259655 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6273.70 | + | 10866.4i | −0.758471 | + | 1.31371i | 0.185159 | + | 0.982709i | \(0.440720\pi\) |
−0.943630 | + | 0.331002i | \(0.892613\pi\) | |||||||
\(410\) | 4145.27 | − | 7179.82i | 0.499318 | − | 0.864844i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2629.08 | 0.314383 | ||||||||
\(413\) | −7707.95 | − | 10927.0i | −0.918362 | − | 1.30190i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8889.47 | + | 15397.0i | 1.05149 | + | 1.82123i | ||||
\(416\) | 1019.62 | − | 1766.04i | 0.120171 | − | 0.208142i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3387.07 | + | 5866.58i | 0.396333 | + | 0.686469i | ||||
\(419\) | 12631.5 | 1.47276 | 0.736381 | − | 0.676567i | \(-0.236533\pi\) | ||||
0.736381 | + | 0.676567i | \(0.236533\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3495.94 | −0.404707 | −0.202354 | − | 0.979312i | \(-0.564859\pi\) | ||||
−0.202354 | + | 0.979312i | \(0.564859\pi\) | |||||||
\(422\) | 3962.89 | + | 6863.92i | 0.457134 | + | 0.791779i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3763.57 | + | 6518.69i | −0.431073 | + | 0.746640i | ||||
\(425\) | 2743.88 | + | 4752.53i | 0.313171 | + | 0.542427i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12229.7 | − | 1112.84i | 1.38603 | − | 0.126122i | ||||
\(428\) | 7184.23 | 0.811362 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2666.14 | − | 4617.89i | 0.299006 | − | 0.517894i | ||||
\(431\) | −1172.59 | + | 2030.99i | −0.131048 | + | 0.226982i | −0.924081 | − | 0.382197i | \(-0.875168\pi\) |
0.793033 | + | 0.609179i | \(0.208501\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3250.63 | 0.360774 | 0.180387 | − | 0.983596i | \(-0.442265\pi\) | ||||
0.180387 | + | 0.983596i | \(0.442265\pi\) | |||||||
\(434\) | −3086.67 | + | 6679.94i | −0.341393 | + | 0.738819i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3893.28 | − | 6743.36i | −0.427648 | − | 0.740708i | ||||
\(437\) | 1067.39 | − | 1848.77i | 0.116842 | − | 0.202377i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8120.24 | − | 14064.7i | −0.882820 | − | 1.52909i | −0.848192 | − | 0.529689i | \(-0.822308\pi\) |
−0.0346287 | − | 0.999400i | \(-0.511025\pi\) | |||||||
\(440\) | −10470.0 | −1.13440 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1764.91 | 0.189928 | ||||||||
\(443\) | 2424.52 | + | 4199.39i | 0.260028 | + | 0.450382i | 0.966249 | − | 0.257610i | \(-0.0829349\pi\) |
−0.706221 | + | 0.707991i | \(0.749602\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5743.49 | + | 9948.01i | −0.611837 | + | 1.05973i | ||||
\(446\) | −5645.47 | − | 9778.23i | −0.599373 | − | 1.03815i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −3677.44 | + | 7958.46i | −0.387819 | + | 0.839290i | ||||
\(449\) | −4139.93 | −0.435134 | −0.217567 | − | 0.976045i | \(-0.569812\pi\) | ||||
−0.217567 | + | 0.976045i | \(0.569812\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4136.98 | − | 7165.46i | 0.431935 | − | 0.748134i | ||||
\(452\) | 4347.99 | − | 7530.94i | 0.452461 | − | 0.783685i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −813.110 | −0.0840553 | ||||||||
\(455\) | −3566.49 | + | 324.532i | −0.367471 | + | 0.0334380i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4616.24 | − | 7995.56i | −0.472513 | − | 0.818417i | 0.526992 | − | 0.849870i | \(-0.323320\pi\) |
−0.999505 | + | 0.0314531i | \(0.989987\pi\) | |||||||
\(458\) | 3937.04 | − | 6819.16i | 0.401672 | − | 0.695717i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 527.377 | + | 913.443i | 0.0534545 | + | 0.0925859i | ||||
\(461\) | 1274.90 | 0.128803 | 0.0644013 | − | 0.997924i | \(-0.479486\pi\) | ||||
0.0644013 | + | 0.997924i | \(0.479486\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2061.80 | 0.206955 | 0.103477 | − | 0.994632i | \(-0.467003\pi\) | ||||
0.103477 | + | 0.994632i | \(0.467003\pi\) | |||||||
\(464\) | −1099.86 | − | 1905.01i | −0.110042 | − | 0.190599i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2612.85 | + | 4525.59i | −0.259738 | + | 0.449879i | ||||
\(467\) | 484.021 | + | 838.348i | 0.0479610 | + | 0.0830710i | 0.889009 | − | 0.457889i | \(-0.151394\pi\) |
−0.841048 | + | 0.540960i | \(0.818061\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6496.66 | + | 9209.84i | 0.639633 | + | 0.906761i | ||||
\(470\) | −15886.6 | −1.55914 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8742.29 | − | 15142.1i | 0.852535 | − | 1.47663i | ||||
\(473\) | 2660.81 | − | 4608.66i | 0.258656 | − | 0.448005i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9420.39 | −0.909973 | ||||||||
\(476\) | 4456.88 | − | 405.553i | 0.429161 | − | 0.0390515i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 5528.15 | + | 9575.03i | 0.528978 | + | 0.916217i | ||||
\(479\) | −3100.02 | + | 5369.40i | −0.295707 | + | 0.512180i | −0.975149 | − | 0.221549i | \(-0.928889\pi\) |
0.679442 | + | 0.733729i | \(0.262222\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −476.760 | − | 825.772i | −0.0451941 | − | 0.0782785i | ||||
\(482\) | 4341.17 | 0.410238 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1663.01 | 0.156181 | ||||||||
\(485\) | 6782.50 | + | 11747.6i | 0.635005 | + | 1.09986i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4914.83 | − | 8512.74i | 0.457315 | − | 0.792092i | −0.541503 | − | 0.840699i | \(-0.682145\pi\) |
0.998818 | + | 0.0486063i | \(0.0154780\pi\) | |||||||
\(488\) | 8028.47 | + | 13905.7i | 0.744738 | + | 1.28992i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 10076.8 | − | 1849.19i | 0.929030 | − | 0.170485i | ||||
\(491\) | −5053.57 | −0.464489 | −0.232245 | − | 0.972657i | \(-0.574607\pi\) | ||||
−0.232245 | + | 0.972657i | \(0.574607\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3571.33 | + | 6185.73i | −0.326257 | + | 0.565094i | ||||
\(494\) | −1514.84 | + | 2623.77i | −0.137967 | + | 0.238966i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3819.61 | −0.345777 | ||||||||
\(497\) | 7584.49 | − | 16413.8i | 0.684529 | − | 1.48141i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7030.82 | − | 12177.7i | −0.630747 | − | 1.09249i | −0.987399 | − | 0.158249i | \(-0.949415\pi\) |
0.356652 | − | 0.934237i | \(-0.383918\pi\) | |||||||
\(500\) | −1080.38 | + | 1871.28i | −0.0966325 | + | 0.167372i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −5887.64 | − | 10197.7i | −0.523463 | − | 0.906664i | ||||
\(503\) | 8001.67 | 0.709298 | 0.354649 | − | 0.934999i | \(-0.384600\pi\) | ||||
0.354649 | + | 0.934999i | \(0.384600\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6424.87 | 0.566144 | ||||||||
\(506\) | −593.794 | − | 1028.48i | −0.0521687 | − | 0.0903589i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2476.27 | + | 4289.02i | −0.216273 | + | 0.374596i | ||||
\(509\) | 5456.91 | + | 9451.65i | 0.475193 | + | 0.823059i | 0.999596 | − | 0.0284114i | \(-0.00904484\pi\) |
−0.524403 | + | 0.851470i | \(0.675712\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2787.88 | − | 3952.18i | −0.241348 | − | 0.342141i | ||||
\(512\) | −6863.42 | −0.592428 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5135.49 | − | 8894.93i | 0.440694 | − | 0.763304i | ||||
\(515\) | 5072.08 | − | 8785.11i | 0.433986 | − | 0.751686i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −15854.8 | −1.34873 | ||||||||
\(518\) | 1572.37 | + | 2229.04i | 0.133371 | + | 0.189070i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2341.31 | − | 4055.26i | −0.197448 | − | 0.341990i | ||||
\(521\) | 7901.70 | − | 13686.1i | 0.664452 | − | 1.15087i | −0.314981 | − | 0.949098i | \(-0.601998\pi\) |
0.979433 | − | 0.201767i | \(-0.0646685\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 323.047 | + | 559.534i | 0.0270093 | + | 0.0467815i | 0.879214 | − | 0.476427i | \(-0.158068\pi\) |
−0.852205 | + | 0.523208i | \(0.824735\pi\) | |||||||
\(524\) | −1724.81 | −0.143795 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1267.07 | −0.105032 | ||||||||
\(527\) | 6201.31 | + | 10741.0i | 0.512587 | + | 0.887827i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5896.37 | − | 10212.8i | 0.484620 | − | 0.839387i | ||||
\(530\) | 4642.14 | + | 8040.41i | 0.380456 | + | 0.658968i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3222.48 | + | 6973.86i | −0.262617 | + | 0.568337i | ||||
\(533\) | 3700.45 | 0.300721 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13860.0 | − | 24006.2i | 1.12004 | − | 1.93996i | ||||
\(536\) | −7368.45 | + | 12762.5i | −0.593785 | + | 1.02847i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1635.05 | 0.131026 | ||||||||
\(539\) | 10056.7 | − | 1845.49i | 0.803658 | − | 0.147479i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5123.33 | − | 8873.86i | −0.407152 | − | 0.705207i | 0.587418 | − | 0.809284i | \(-0.300145\pi\) |
−0.994569 | + | 0.104077i | \(0.966811\pi\) | |||||||
\(542\) | −3876.68 | + | 6714.61i | −0.307228 | + | 0.532135i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4916.34 | + | 8515.36i | 0.387475 | + | 0.671127i | ||||
\(545\) | −30044.0 | −2.36137 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4368.98 | 0.341506 | 0.170753 | − | 0.985314i | \(-0.445380\pi\) | ||||
0.170753 | + | 0.985314i | \(0.445380\pi\) | |||||||
\(548\) | −2504.95 | − | 4338.70i | −0.195267 | − | 0.338212i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2620.31 | + | 4538.50i | −0.203146 | + | 0.351859i | ||||
\(551\) | −6130.63 | − | 10618.6i | −0.473999 | − | 0.820990i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 22799.6 | − | 2074.65i | 1.75323 | − | 0.159535i | ||||
\(554\) | −6582.82 | −0.504833 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −764.656 | + | 1324.42i | −0.0583249 | + | 0.101022i | ||||
\(557\) | 4198.21 | − | 7271.52i | 0.319361 | − | 0.553149i | −0.660994 | − | 0.750391i | \(-0.729865\pi\) |
0.980355 | + | 0.197242i | \(0.0631984\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2380.04 | 0.180081 | ||||||||
\(560\) | 3065.35 | + | 4345.52i | 0.231312 | + | 0.327914i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6409.90 | − | 11102.3i | −0.481113 | − | 0.833312i | ||||
\(563\) | −6071.13 | + | 10515.5i | −0.454472 | + | 0.787169i | −0.998658 | − | 0.0517962i | \(-0.983505\pi\) |
0.544186 | + | 0.838965i | \(0.316839\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16776.5 | − | 29057.7i | −1.24919 | − | 2.16366i | ||||
\(566\) | −7655.66 | −0.568536 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 23642.3 | 1.74649 | ||||||||
\(569\) | −5598.06 | − | 9696.12i | −0.412448 | − | 0.714381i | 0.582709 | − | 0.812681i | \(-0.301993\pi\) |
−0.995157 | + | 0.0983003i | \(0.968659\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9829.79 | + | 17025.7i | −0.720427 | + | 1.24782i | 0.240402 | + | 0.970674i | \(0.422721\pi\) |
−0.960829 | + | 0.277143i | \(0.910612\pi\) | |||||||
\(572\) | −746.955 | − | 1293.76i | −0.0546010 | − | 0.0945717i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10542.6 | + | 959.324i | −0.766621 | + | 0.0697586i | ||||
\(575\) | 1651.51 | 0.119778 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4258.23 | + | 7375.46i | −0.307231 | + | 0.532140i | −0.977756 | − | 0.209748i | \(-0.932736\pi\) |
0.670525 | + | 0.741887i | \(0.266069\pi\) | |||||||
\(578\) | 803.863 | − | 1392.33i | 0.0578482 | − | 0.100196i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6058.05 | 0.433702 | ||||||||
\(581\) | 9522.62 | − | 20608.2i | 0.679974 | − | 1.47155i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4632.85 | + | 8024.33i | 0.329113 | + | 0.570041i | ||||
\(584\) | 3161.99 | − | 5476.73i | 0.224048 | − | 0.388063i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6582.28 | − | 11400.8i | −0.464013 | − | 0.803694i | ||||
\(587\) | −7115.53 | −0.500323 | −0.250161 | − | 0.968204i | \(-0.580484\pi\) | ||||
−0.250161 | + | 0.968204i | \(0.580484\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −21290.6 | −1.48941 | ||||||||
\(590\) | −10783.1 | − | 18676.9i | −0.752428 | − | 1.30324i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −707.958 | + | 1226.22i | −0.0491502 | + | 0.0851306i | ||||
\(593\) | −3072.24 | − | 5321.28i | −0.212752 | − | 0.368497i | 0.739823 | − | 0.672802i | \(-0.234909\pi\) |
−0.952575 | + | 0.304305i | \(0.901576\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7243.15 | − | 15675.1i | 0.499059 | − | 1.08003i | ||||
\(596\) | −1637.15 | −0.112517 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 265.569 | − | 459.979i | 0.0181604 | − | 0.0314547i | ||||
\(599\) | −4789.20 | + | 8295.13i | −0.326680 | + | 0.565826i | −0.981851 | − | 0.189654i | \(-0.939263\pi\) |
0.655171 | + | 0.755481i | \(0.272597\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19113.8 | −1.29728 | −0.648642 | − | 0.761094i | \(-0.724663\pi\) | ||||
−0.648642 | + | 0.761094i | \(0.724663\pi\) | |||||||
\(602\) | −6780.77 | + | 617.015i | −0.459076 | + | 0.0417735i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3693.90 | − | 6398.02i | −0.248845 | − | 0.431013i | ||||
\(605\) | 3208.32 | − | 5556.98i | 0.215598 | − | 0.373427i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10221.3 | − | 17703.9i | −0.683477 | − | 1.18382i | −0.973913 | − | 0.226923i | \(-0.927134\pi\) |
0.290435 | − | 0.956895i | \(-0.406200\pi\) | |||||||
\(608\) | −16879.0 | −1.12588 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 19805.3 | 1.31458 | ||||||||
\(611\) | −3545.46 | − | 6140.92i | −0.234753 | − | 0.406604i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8711.37 | + | 15088.5i | −0.573978 | + | 0.994160i | 0.422173 | + | 0.906515i | \(0.361267\pi\) |
−0.996152 | + | 0.0876447i | \(0.972066\pi\) | |||||||
\(614\) | −967.130 | − | 1675.12i | −0.0635671 | − | 0.110101i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 7706.27 | + | 10924.6i | 0.504049 | + | 0.714554i | ||||
\(617\) | −1805.17 | −0.117785 | −0.0588926 | − | 0.998264i | \(-0.518757\pi\) | ||||
−0.0588926 | + | 0.998264i | \(0.518757\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4071.12 | + | 7051.38i | −0.264349 | + | 0.457866i | −0.967393 | − | 0.253281i | \(-0.918490\pi\) |
0.703044 | + | 0.711146i | \(0.251824\pi\) | |||||||
\(620\) | 5259.64 | − | 9109.97i | 0.340697 | − | 0.590105i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5666.55 | 0.365286 | ||||||||
\(623\) | 14607.4 | − | 1329.19i | 0.939376 | − | 0.0854783i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9504.14 | + | 16461.7i | 0.608265 | + | 1.05355i | ||||
\(626\) | 656.007 | − | 1136.24i | 0.0418839 | − | 0.0725451i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1562.79 | + | 2706.84i | 0.0993029 | + | 0.171998i | ||||
\(629\) | 4597.61 | 0.291445 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3630.07 | 0.229019 | 0.114509 | − | 0.993422i | \(-0.463470\pi\) | ||||
0.114509 | + | 0.993422i | \(0.463470\pi\) | |||||||
\(632\) | 14967.4 | + | 25924.2i | 0.942040 | + | 1.63166i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2957.43 | + | 5122.42i | −0.185260 | + | 0.320879i | ||||
\(635\) | 9554.54 | + | 16548.9i | 0.597103 | + | 1.03421i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2963.68 | + | 3482.48i | 0.184341 | + | 0.216611i | ||||
\(638\) | −6821.00 | −0.423270 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1804.51 | − | 3125.50i | 0.111452 | − | 0.193041i | ||||
\(641\) | −11111.8 | + | 19246.2i | −0.684696 | + | 1.18593i | 0.288836 | + | 0.957379i | \(0.406732\pi\) |
−0.973532 | + | 0.228550i | \(0.926602\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5013.00 | −0.307455 | −0.153727 | − | 0.988113i | \(-0.549128\pi\) | ||||
−0.153727 | + | 0.988113i | \(0.549128\pi\) | |||||||
\(644\) | 564.939 | − | 1222.60i | 0.0345679 | − | 0.0748093i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7304.13 | − | 12651.1i | −0.444856 | − | 0.770514i | ||||
\(647\) | −3858.08 | + | 6682.39i | −0.234431 | + | 0.406046i | −0.959107 | − | 0.283043i | \(-0.908656\pi\) |
0.724676 | + | 0.689090i | \(0.241989\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10761.5 | − | 18639.5i | −0.650889 | − | 1.12737i | ||||
\(650\) | −2343.82 | −0.141434 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4421.10 | 0.265558 | ||||||||
\(653\) | 2822.20 | + | 4888.20i | 0.169129 | + | 0.292940i | 0.938114 | − | 0.346327i | \(-0.112571\pi\) |
−0.768985 | + | 0.639267i | \(0.779238\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3327.54 | + | 5763.46i | −0.198500 | + | 0.343812i | ||||
\(656\) | −2747.47 | − | 4758.75i | −0.163522 | − | 0.283229i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 11693.1 | + | 16576.4i | 0.692770 | + | 0.982090i | ||||
\(659\) | 8812.27 | 0.520906 | 0.260453 | − | 0.965487i | \(-0.416128\pi\) | ||||
0.260453 | + | 0.965487i | \(0.416128\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3095.51 | − | 5361.58i | 0.182150 | − | 0.315493i | −0.760462 | − | 0.649382i | \(-0.775028\pi\) |
0.942613 | + | 0.333889i | \(0.108361\pi\) | |||||||
\(662\) | 6583.35 | − | 11402.7i | 0.386510 | − | 0.669454i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 29683.8 | 1.73487 | ||||||||
\(665\) | 17086.3 | + | 24222.1i | 0.996360 | + | 1.41247i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1074.77 | + | 1861.56i | 0.0623918 | + | 0.108066i | ||||
\(668\) | −3146.86 | + | 5450.53i | −0.182269 | + | 0.315699i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 9088.54 | + | 15741.8i | 0.524061 | + | 0.907701i | ||||
\(671\) | 19765.7 | 1.13718 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 29580.7 | 1.69428 | 0.847141 | − | 0.531368i | \(-0.178322\pi\) | ||||
0.847141 | + | 0.531368i | \(0.178322\pi\) | |||||||
\(674\) | 12466.9 | + | 21593.3i | 0.712474 | + | 1.23404i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3795.25 | + | 6573.57i | −0.215934 | + | 0.374008i | ||||
\(677\) | −13145.0 | − | 22767.8i | −0.746239 | − | 1.29252i | −0.949613 | − | 0.313423i | \(-0.898524\pi\) |
0.203374 | − | 0.979101i | \(-0.434809\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7265.58 | − | 15723.6i | 0.410644 | − | 0.888686i | ||||
\(680\) | 22578.3 | 1.27329 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5922.04 | + | 10257.3i | −0.332502 | + | 0.575911i | ||||
\(683\) | 405.342 | − | 702.073i | 0.0227086 | − | 0.0393325i | −0.854448 | − | 0.519537i | \(-0.826104\pi\) |
0.877156 | + | 0.480205i | \(0.159438\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −19330.4 | −1.07821 | ||||||||
\(686\) | −9346.36 | − | 9153.31i | −0.520183 | − | 0.509439i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1767.11 | − | 3060.72i | −0.0979220 | − | 0.169606i | ||||
\(689\) | −2072.00 | + | 3588.81i | −0.114567 | + | 0.198436i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −585.690 | − | 1014.45i | −0.0322442 | − | 0.0558485i | 0.849453 | − | 0.527664i | \(-0.176932\pi\) |
−0.881697 | + | 0.471816i | \(0.843599\pi\) | |||||||
\(692\) | 5386.42 | 0.295897 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5581.14 | −0.305269 | ||||||||
\(695\) | 2950.38 | + | 5110.21i | 0.161028 | + | 0.278908i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8921.28 | + | 15452.1i | −0.484817 | + | 0.839728i | ||||
\(698\) | 1210.10 | + | 2095.95i | 0.0656201 | + | 0.113657i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5918.79 | + | 538.579i | −0.319585 | + | 0.0290805i | ||||
\(701\) | −1057.70 | −0.0569885 | −0.0284943 | − | 0.999594i | \(-0.509071\pi\) | ||||
−0.0284943 | + | 0.999594i | \(0.509071\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3946.18 | + | 6834.98i | −0.211711 | + | 0.366694i | ||||
\(704\) | −7055.49 | + | 12220.5i | −0.377719 | + | 0.654228i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10866.0 | −0.579245 | ||||||||
\(707\) | −4728.92 | − | 6703.84i | −0.251555 | − | 0.356611i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14621.9 | + | 25325.8i | 0.774521 | + | 1.34151i | 0.935063 | + | 0.354481i | \(0.115343\pi\) |
−0.160542 | + | 0.987029i | \(0.551324\pi\) | |||||||
\(710\) | 14580.7 | − | 25254.5i | 0.770708 | − | 1.33491i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9589.34 | + | 16609.2i | 0.504741 | + | 0.874238i | ||||
\(713\) | 3732.50 | 0.196049 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5764.17 | −0.301493 | ||||||||
\(716\) | 2245.15 | + | 3888.72i | 0.117186 | + | 0.202972i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11621.5 | + | 20129.0i | −0.604054 | + | 1.04625i | ||||
\(719\) | −12278.9 | − | 21267.6i | −0.636890 | − | 1.10313i | −0.986111 | − | 0.166086i | \(-0.946887\pi\) |
0.349221 | − | 0.937040i | \(-0.386446\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −12899.8 | + | 1173.81i | −0.666315 | + | 0.0606312i | ||||
\(722\) | 10951.7 | 0.564516 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1393.53 | − | 2413.66i | 0.0715331 | − | 0.123899i | ||||
\(725\) | 4742.77 | − | 8214.72i | 0.242955 | − | 0.420810i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23444.2 | −1.19601 | −0.598003 | − | 0.801494i | \(-0.704039\pi\) | ||||
−0.598003 | + | 0.801494i | \(0.704039\pi\) | |||||||
\(728\) | −2508.06 | + | 5427.77i | −0.127685 | + | 0.276328i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3900.13 | − | 6755.22i | −0.197740 | − | 0.342496i | ||||
\(731\) | −5737.96 | + | 9938.44i | −0.290323 | + | 0.502854i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17985.6 | + | 31152.0i | 0.906296 | + | 1.56975i | 0.819168 | + | 0.573553i | \(0.194436\pi\) |
0.0871278 | + | 0.996197i | \(0.472231\pi\) | |||||||
\(734\) | 15584.4 | 0.783692 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2959.09 | 0.148198 | ||||||||
\(737\) | 9070.37 | + | 15710.3i | 0.453340 | + | 0.785207i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6034.31 | + | 10451.7i | −0.300373 | + | 0.520261i | −0.976220 | − | 0.216780i | \(-0.930444\pi\) |
0.675848 | + | 0.737041i | \(0.263778\pi\) | |||||||
\(740\) | −1949.73 | − | 3377.03i | −0.0968561 | − | 0.167760i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4972.77 | − | 10761.7i | 0.246032 | − | 0.532446i | ||||
\(743\) | −5475.09 | −0.270339 | −0.135169 | − | 0.990823i | \(-0.543158\pi\) | ||||
−0.135169 | + | 0.990823i | \(0.543158\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3158.43 | + | 5470.56i | −0.155323 | + | 0.269028i | ||||
\(746\) | 6697.00 | − | 11599.5i | 0.328679 | − | 0.569289i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 7203.23 | 0.352107 | ||||||||
\(749\) | −35250.0 | + | 3207.56i | −1.71963 | + | 0.156478i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12637.3 | − | 21888.4i | −0.614036 | − | 1.06354i | −0.990553 | − | 0.137132i | \(-0.956212\pi\) |
0.376517 | − | 0.926410i | \(-0.377122\pi\) | |||||||
\(752\) | −5264.79 | + | 9118.88i | −0.255302 | + | 0.442196i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1525.31 | − | 2641.92i | −0.0736720 | − | 0.127604i | ||||
\(755\) | −28505.4 | −1.37406 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −23583.7 | −1.13232 | −0.566159 | − | 0.824296i | \(-0.691571\pi\) | ||||
−0.566159 | + | 0.824296i | \(0.691571\pi\) | |||||||
\(758\) | −11093.6 | − | 19214.6i | −0.531578 | − | 0.920720i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −19379.2 | + | 33565.7i | −0.924942 | + | 1.60205i | ||||
\(761\) | 8101.35 | + | 14032.0i | 0.385905 | + | 0.668407i | 0.991894 | − | 0.127066i | \(-0.0405559\pi\) |
−0.605989 | + | 0.795473i | \(0.707223\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 22113.4 | + | 31348.5i | 1.04922 | + | 1.48741i | ||||
\(764\) | −14675.3 | −0.694939 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −6555.06 | + | 11353.7i | −0.309196 | + | 0.535543i | ||||
\(767\) | 4812.99 | − | 8336.34i | 0.226580 | − | 0.392448i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −18603.1 | −0.872362 | −0.436181 | − | 0.899859i | \(-0.643669\pi\) | ||||
−0.436181 | + | 0.899859i | \(0.643669\pi\) | |||||||
\(770\) | 16422.2 | − | 1494.33i | 0.768590 | − | 0.0699377i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3329.12 | + | 5766.20i | 0.155204 | + | 0.268821i | ||||
\(773\) | −13640.7 | + | 23626.3i | −0.634697 | + | 1.09933i | 0.351883 | + | 0.936044i | \(0.385542\pi\) |
−0.986579 | + | 0.163283i | \(0.947792\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8235.42 | − | 14264.2i | −0.381709 | − | 0.661140i | ||||
\(776\) | 22648.2 | 1.04771 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 12157.3 | 0.560231 | ||||||||
\(779\) | −15314.5 | − | 26525.4i | −0.704361 | − | 1.21999i | ||||
\(780\) | 0 |