Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,4,Mod(15,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.15");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.j (of order \(10\), 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: | \(7.31623684071\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 15.11 | ||
Character | \(\chi\) | \(=\) | 124.15 |
Dual form | 124.4.j.a.91.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.15145 | + | 1.83609i | −0.760654 | + | 0.649157i | ||||
\(3\) | −3.63646 | − | 2.64204i | −0.699837 | − | 0.508461i | 0.180042 | − | 0.983659i | \(-0.442377\pi\) |
−0.879879 | + | 0.475197i | \(0.842377\pi\) | |||||||
\(4\) | 1.25751 | − | 7.90055i | 0.157189 | − | 0.987569i | ||||
\(5\) | 11.6709 | 1.04388 | 0.521939 | − | 0.852983i | \(-0.325209\pi\) | ||||
0.521939 | + | 0.852983i | \(0.325209\pi\) | |||||||
\(6\) | 12.6747 | − | 0.992650i | 0.862406 | − | 0.0675412i | ||||
\(7\) | −10.8099 | − | 3.51236i | −0.583682 | − | 0.189650i | 0.00226752 | − | 0.999997i | \(-0.499278\pi\) |
−0.585949 | + | 0.810348i | \(0.699278\pi\) | |||||||
\(8\) | 11.8007 | + | 19.3066i | 0.521521 | + | 0.853239i | ||||
\(9\) | −2.10001 | − | 6.46315i | −0.0777780 | − | 0.239376i | ||||
\(10\) | −25.1094 | + | 21.4289i | −0.794030 | + | 0.677641i | ||||
\(11\) | −16.7953 | + | 51.6908i | −0.460363 | + | 1.41685i | 0.404360 | + | 0.914600i | \(0.367494\pi\) |
−0.864722 | + | 0.502250i | \(0.832506\pi\) | |||||||
\(12\) | −25.4465 | + | 25.4076i | −0.612147 | + | 0.611213i | ||||
\(13\) | 33.8501 | − | 46.5906i | 0.722179 | − | 0.993994i | −0.277270 | − | 0.960792i | \(-0.589430\pi\) |
0.999449 | − | 0.0332016i | \(-0.0105703\pi\) | |||||||
\(14\) | 29.7061 | − | 12.2914i | 0.567092 | − | 0.234644i | ||||
\(15\) | −42.4408 | − | 30.8351i | −0.730545 | − | 0.530772i | ||||
\(16\) | −60.8373 | − | 19.8701i | −0.950583 | − | 0.310470i | ||||
\(17\) | −66.8438 | + | 21.7189i | −0.953647 | + | 0.309859i | −0.744197 | − | 0.667960i | \(-0.767168\pi\) |
−0.209451 | + | 0.977819i | \(0.567168\pi\) | |||||||
\(18\) | 16.3850 | + | 10.0494i | 0.214555 | + | 0.131592i | ||||
\(19\) | −73.2698 | − | 100.847i | −0.884697 | − | 1.21768i | −0.975098 | − | 0.221775i | \(-0.928815\pi\) |
0.0904011 | − | 0.995905i | \(-0.471185\pi\) | |||||||
\(20\) | 14.6763 | − | 92.2066i | 0.164086 | − | 1.03090i | ||||
\(21\) | 30.0301 | + | 41.3329i | 0.312053 | + | 0.429504i | ||||
\(22\) | −58.7747 | − | 142.048i | −0.569582 | − | 1.37658i | ||||
\(23\) | −41.8105 | − | 128.679i | −0.379047 | − | 1.16659i | −0.940707 | − | 0.339219i | \(-0.889837\pi\) |
0.561660 | − | 0.827368i | \(-0.310163\pi\) | |||||||
\(24\) | 8.09616 | − | 101.386i | 0.0688592 | − | 0.862301i | ||||
\(25\) | 11.2102 | 0.0896818 | ||||||||
\(26\) | 12.7179 | + | 162.390i | 0.0959303 | + | 1.22489i | ||||
\(27\) | −46.9425 | + | 144.474i | −0.334596 | + | 1.02978i | ||||
\(28\) | −41.3432 | + | 80.9876i | −0.279041 | + | 0.546615i | ||||
\(29\) | −41.6966 | − | 57.3905i | −0.266996 | − | 0.367488i | 0.654377 | − | 0.756168i | \(-0.272931\pi\) |
−0.921373 | + | 0.388681i | \(0.872931\pi\) | |||||||
\(30\) | 147.926 | − | 11.5851i | 0.900246 | − | 0.0705048i | ||||
\(31\) | −11.2318 | − | 172.235i | −0.0650739 | − | 0.997880i | ||||
\(32\) | 167.372 | − | 68.9535i | 0.924609 | − | 0.380918i | ||||
\(33\) | 197.645 | − | 143.597i | 1.04259 | − | 0.757488i | ||||
\(34\) | 103.934 | − | 169.459i | 0.524249 | − | 0.854763i | ||||
\(35\) | −126.162 | − | 40.9925i | −0.609293 | − | 0.197971i | ||||
\(36\) | −53.7032 | + | 8.46369i | −0.248626 | + | 0.0391838i | ||||
\(37\) | 163.878i | 0.728144i | 0.931371 | + | 0.364072i | \(0.118614\pi\) | ||||
−0.931371 | + | 0.364072i | \(0.881386\pi\) | |||||||
\(38\) | 342.802 | + | 82.4379i | 1.46341 | + | 0.351926i | ||||
\(39\) | −246.189 | + | 79.9916i | −1.01081 | + | 0.328434i | ||||
\(40\) | 137.725 | + | 225.325i | 0.544404 | + | 0.890677i | ||||
\(41\) | −287.201 | + | 208.664i | −1.09398 | + | 0.794825i | −0.980067 | − | 0.198666i | \(-0.936339\pi\) |
−0.113915 | + | 0.993491i | \(0.536339\pi\) | |||||||
\(42\) | −140.499 | − | 33.7877i | −0.516180 | − | 0.124132i | ||||
\(43\) | −264.982 | + | 192.521i | −0.939753 | + | 0.682770i | −0.948361 | − | 0.317193i | \(-0.897260\pi\) |
0.00860840 | + | 0.999963i | \(0.497260\pi\) | |||||||
\(44\) | 387.265 | + | 197.694i | 1.32687 | + | 0.677353i | ||||
\(45\) | −24.5090 | − | 75.4309i | −0.0811908 | − | 0.249879i | ||||
\(46\) | 326.221 | + | 200.080i | 1.04562 | + | 0.641308i | ||||
\(47\) | −33.4911 | + | 46.0966i | −0.103940 | + | 0.143061i | −0.857819 | − | 0.513953i | \(-0.828181\pi\) |
0.753878 | + | 0.657014i | \(0.228181\pi\) | |||||||
\(48\) | 168.735 | + | 232.992i | 0.507391 | + | 0.700613i | ||||
\(49\) | −172.975 | − | 125.674i | −0.504300 | − | 0.366395i | ||||
\(50\) | −24.1183 | + | 20.5830i | −0.0682168 | + | 0.0582176i | ||||
\(51\) | 300.457 | + | 97.6244i | 0.824949 | + | 0.268042i | ||||
\(52\) | −325.525 | − | 326.023i | −0.868118 | − | 0.869446i | ||||
\(53\) | −82.1406 | + | 26.6891i | −0.212885 | + | 0.0691704i | −0.413518 | − | 0.910496i | \(-0.635700\pi\) |
0.200633 | + | 0.979666i | \(0.435700\pi\) | |||||||
\(54\) | −164.273 | − | 397.020i | −0.413977 | − | 1.00051i | ||||
\(55\) | −196.017 | + | 603.279i | −0.480562 | + | 1.47902i | ||||
\(56\) | −59.7528 | − | 250.151i | −0.142586 | − | 0.596926i | ||||
\(57\) | 560.309i | 1.30201i | ||||||||
\(58\) | 195.083 | + | 46.9141i | 0.441649 | + | 0.106209i | ||||
\(59\) | 406.700 | − | 559.775i | 0.897422 | − | 1.23520i | −0.0738613 | − | 0.997269i | \(-0.523532\pi\) |
0.971283 | − | 0.237927i | \(-0.0764678\pi\) | |||||||
\(60\) | −296.984 | + | 296.530i | −0.639007 | + | 0.638031i | ||||
\(61\) | − | 601.548i | − | 1.26263i | −0.775527 | − | 0.631314i | \(-0.782516\pi\) | ||
0.775527 | − | 0.631314i | \(-0.217484\pi\) | |||||||
\(62\) | 340.404 | + | 349.933i | 0.697280 | + | 0.716799i | ||||
\(63\) | 77.2423i | 0.154470i | ||||||||
\(64\) | −233.488 | + | 455.661i | −0.456032 | + | 0.889963i | ||||
\(65\) | 395.061 | − | 543.755i | 0.753867 | − | 1.03761i | ||||
\(66\) | −161.566 | + | 671.838i | −0.301323 | + | 1.25299i | ||||
\(67\) | 541.303i | 0.987025i | 0.869739 | + | 0.493512i | \(0.164287\pi\) | ||||
−0.869739 | + | 0.493512i | \(0.835713\pi\) | |||||||
\(68\) | 87.5340 | + | 555.415i | 0.156104 | + | 0.990499i | ||||
\(69\) | −187.934 | + | 578.403i | −0.327893 | + | 1.00915i | ||||
\(70\) | 346.698 | − | 143.452i | 0.591975 | − | 0.244939i | ||||
\(71\) | 853.411 | − | 277.290i | 1.42650 | − | 0.463497i | 0.508837 | − | 0.860863i | \(-0.330076\pi\) |
0.917660 | + | 0.397366i | \(0.130076\pi\) | |||||||
\(72\) | 99.9999 | − | 116.813i | 0.163682 | − | 0.191203i | ||||
\(73\) | 330.700 | + | 107.451i | 0.530212 | + | 0.172276i | 0.561875 | − | 0.827222i | \(-0.310080\pi\) |
−0.0316629 | + | 0.999499i | \(0.510080\pi\) | |||||||
\(74\) | −300.895 | − | 352.576i | −0.472680 | − | 0.553866i | ||||
\(75\) | −40.7656 | − | 29.6179i | −0.0627627 | − | 0.0455998i | ||||
\(76\) | −888.886 | + | 452.055i | −1.34161 | + | 0.682292i | ||||
\(77\) | 363.113 | − | 499.783i | 0.537410 | − | 0.739682i | ||||
\(78\) | 382.792 | − | 624.125i | 0.555675 | − | 0.906002i | ||||
\(79\) | −61.5447 | − | 189.415i | −0.0876496 | − | 0.269758i | 0.897619 | − | 0.440772i | \(-0.145295\pi\) |
−0.985268 | + | 0.171015i | \(0.945295\pi\) | |||||||
\(80\) | −710.027 | − | 231.902i | −0.992293 | − | 0.324093i | ||||
\(81\) | 403.968 | − | 293.500i | 0.554140 | − | 0.402606i | ||||
\(82\) | 234.774 | − | 976.259i | 0.316176 | − | 1.31475i | ||||
\(83\) | 560.849 | − | 407.480i | 0.741701 | − | 0.538877i | −0.151543 | − | 0.988451i | \(-0.548424\pi\) |
0.893243 | + | 0.449574i | \(0.148424\pi\) | |||||||
\(84\) | 364.316 | − | 185.278i | 0.473216 | − | 0.240660i | ||||
\(85\) | −780.128 | + | 253.479i | −0.995492 | + | 0.323455i | ||||
\(86\) | 216.610 | − | 900.731i | 0.271601 | − | 1.12940i | ||||
\(87\) | 318.863i | 0.392939i | ||||||||
\(88\) | −1196.17 | + | 285.725i | −1.44900 | + | 0.346118i | ||||
\(89\) | 1091.91 | + | 354.783i | 1.30048 | + | 0.422550i | 0.875747 | − | 0.482771i | \(-0.160370\pi\) |
0.424728 | + | 0.905321i | \(0.360370\pi\) | |||||||
\(90\) | 191.228 | + | 117.285i | 0.223969 | + | 0.137366i | ||||
\(91\) | −529.560 | + | 384.748i | −0.610033 | + | 0.443215i | ||||
\(92\) | −1069.21 | + | 168.510i | −1.21167 | + | 0.190960i | ||||
\(93\) | −414.208 | + | 656.000i | −0.461843 | + | 0.731441i | ||||
\(94\) | −12.5830 | − | 160.668i | −0.0138068 | − | 0.176294i | ||||
\(95\) | −855.125 | − | 1176.98i | −0.923516 | − | 1.27111i | ||||
\(96\) | −790.820 | − | 191.458i | −0.840758 | − | 0.203548i | ||||
\(97\) | −32.5156 | + | 100.073i | −0.0340357 | + | 0.104751i | −0.966631 | − | 0.256172i | \(-0.917538\pi\) |
0.932595 | + | 0.360924i | \(0.117538\pi\) | |||||||
\(98\) | 602.896 | − | 47.2172i | 0.621446 | − | 0.0486699i | ||||
\(99\) | 369.356 | 0.374966 | ||||||||
\(100\) | 14.0970 | − | 88.5670i | 0.0140970 | − | 0.0885670i | ||||
\(101\) | −449.281 | − | 1382.75i | −0.442625 | − | 1.36226i | −0.885067 | − | 0.465464i | \(-0.845888\pi\) |
0.442442 | − | 0.896797i | \(-0.354112\pi\) | |||||||
\(102\) | −825.668 | + | 341.633i | −0.801503 | + | 0.331635i | ||||
\(103\) | 140.330 | + | 193.148i | 0.134244 | + | 0.184771i | 0.870847 | − | 0.491555i | \(-0.163571\pi\) |
−0.736603 | + | 0.676326i | \(0.763571\pi\) | |||||||
\(104\) | 1298.96 | + | 103.729i | 1.22474 | + | 0.0978022i | ||||
\(105\) | 350.479 | + | 482.393i | 0.325745 | + | 0.448349i | ||||
\(106\) | 127.718 | − | 208.238i | 0.117029 | − | 0.190810i | ||||
\(107\) | −502.807 | + | 163.372i | −0.454282 | + | 0.147605i | −0.527216 | − | 0.849732i | \(-0.676764\pi\) |
0.0729332 | + | 0.997337i | \(0.476764\pi\) | |||||||
\(108\) | 1082.39 | + | 552.549i | 0.964383 | + | 0.492306i | ||||
\(109\) | −270.390 | − | 196.450i | −0.237602 | − | 0.172628i | 0.462612 | − | 0.886561i | \(-0.346912\pi\) |
−0.700214 | + | 0.713933i | \(0.746912\pi\) | |||||||
\(110\) | −685.955 | − | 1657.83i | −0.594575 | − | 1.43698i | ||||
\(111\) | 432.972 | − | 595.935i | 0.370233 | − | 0.509583i | ||||
\(112\) | 587.857 | + | 428.477i | 0.495957 | + | 0.361494i | ||||
\(113\) | −328.296 | + | 1010.39i | −0.273305 | + | 0.841147i | 0.716357 | + | 0.697733i | \(0.245808\pi\) |
−0.989663 | + | 0.143414i | \(0.954192\pi\) | |||||||
\(114\) | −1028.78 | − | 1205.48i | −0.845211 | − | 0.990381i | ||||
\(115\) | −487.966 | − | 1501.81i | −0.395679 | − | 1.21778i | ||||
\(116\) | −505.850 | + | 257.257i | −0.404888 | + | 0.205911i | ||||
\(117\) | −372.208 | − | 120.938i | −0.294108 | − | 0.0955614i | ||||
\(118\) | 152.803 | + | 1951.07i | 0.119209 | + | 1.52212i | ||||
\(119\) | 798.862 | 0.615391 | ||||||||
\(120\) | 94.4896 | − | 1183.26i | 0.0718806 | − | 0.900138i | ||||
\(121\) | −1313.05 | − | 953.987i | −0.986514 | − | 0.716744i | ||||
\(122\) | 1104.50 | + | 1294.20i | 0.819645 | + | 0.960423i | ||||
\(123\) | 1595.69 | 1.16975 | ||||||||
\(124\) | −1374.87 | − | 127.850i | −0.995704 | − | 0.0925910i | ||||
\(125\) | −1328.03 | −0.950261 | ||||||||
\(126\) | −141.824 | − | 166.183i | −0.100275 | − | 0.117498i | ||||
\(127\) | 1651.92 | + | 1200.19i | 1.15421 | + | 0.838580i | 0.989034 | − | 0.147685i | \(-0.0471823\pi\) |
0.165171 | + | 0.986265i | \(0.447182\pi\) | |||||||
\(128\) | −334.298 | − | 1409.04i | −0.230844 | − | 0.972991i | ||||
\(129\) | 1472.24 | 1.00484 | ||||||||
\(130\) | 148.430 | + | 1895.23i | 0.100140 | + | 1.27864i | ||||
\(131\) | −205.694 | − | 66.8342i | −0.137188 | − | 0.0445750i | 0.239618 | − | 0.970867i | \(-0.422978\pi\) |
−0.376806 | + | 0.926292i | \(0.622978\pi\) | |||||||
\(132\) | −885.957 | − | 1742.08i | −0.584187 | − | 1.14870i | ||||
\(133\) | 437.830 | + | 1347.50i | 0.285449 | + | 0.878520i | ||||
\(134\) | −993.883 | − | 1164.59i | −0.640734 | − | 0.750784i | ||||
\(135\) | −547.861 | + | 1686.14i | −0.349277 | + | 1.07496i | ||||
\(136\) | −1208.12 | − | 1034.23i | −0.761731 | − | 0.652091i | ||||
\(137\) | −927.459 | + | 1276.54i | −0.578381 | + | 0.796073i | −0.993517 | − | 0.113687i | \(-0.963734\pi\) |
0.415136 | + | 0.909759i | \(0.363734\pi\) | |||||||
\(138\) | −657.670 | − | 1589.47i | −0.405685 | − | 0.980470i | ||||
\(139\) | −1030.79 | − | 748.914i | −0.628997 | − | 0.456993i | 0.227056 | − | 0.973882i | \(-0.427090\pi\) |
−0.856053 | + | 0.516889i | \(0.827090\pi\) | |||||||
\(140\) | −482.513 | + | 945.199i | −0.291284 | + | 0.570599i | ||||
\(141\) | 243.578 | − | 79.1434i | 0.145482 | − | 0.0472701i | ||||
\(142\) | −1326.94 | + | 2163.52i | −0.784188 | + | 1.27858i | ||||
\(143\) | 1839.78 | + | 2532.24i | 1.07588 | + | 1.48082i | ||||
\(144\) | −0.664719 | + | 434.928i | −0.000384675 | + | 0.251695i | ||||
\(145\) | −486.638 | − | 669.799i | −0.278711 | − | 0.383613i | ||||
\(146\) | −908.775 | + | 376.020i | −0.515142 | + | 0.213148i | ||||
\(147\) | 296.981 | + | 914.014i | 0.166630 | + | 0.512834i | ||||
\(148\) | 1294.72 | + | 206.079i | 0.719093 | + | 0.114456i | ||||
\(149\) | 1198.99 | 0.659229 | 0.329614 | − | 0.944116i | \(-0.393081\pi\) | ||||
0.329614 | + | 0.944116i | \(0.393081\pi\) | |||||||
\(150\) | 142.087 | − | 11.1278i | 0.0773421 | − | 0.00605722i | ||||
\(151\) | 150.984 | − | 464.680i | 0.0813700 | − | 0.250431i | −0.902093 | − | 0.431543i | \(-0.857969\pi\) |
0.983463 | + | 0.181111i | \(0.0579695\pi\) | |||||||
\(152\) | 1082.38 | − | 2604.65i | 0.577584 | − | 1.38990i | ||||
\(153\) | 280.745 | + | 386.412i | 0.148346 | + | 0.204180i | ||||
\(154\) | 136.426 | + | 1741.97i | 0.0713867 | + | 0.911506i | ||||
\(155\) | −131.085 | − | 2010.14i | −0.0679293 | − | 1.04167i | ||||
\(156\) | 322.392 | + | 2045.62i | 0.165462 | + | 1.04988i | ||||
\(157\) | 2930.19 | − | 2128.90i | 1.48952 | − | 1.08220i | 0.515187 | − | 0.857078i | \(-0.327722\pi\) |
0.974331 | − | 0.225120i | \(-0.0722775\pi\) | |||||||
\(158\) | 480.194 | + | 294.516i | 0.241786 | + | 0.148294i | ||||
\(159\) | 369.215 | + | 119.965i | 0.184155 | + | 0.0598356i | ||||
\(160\) | 1953.39 | − | 804.750i | 0.965179 | − | 0.397632i | ||||
\(161\) | 1537.87i | 0.752802i | ||||||||
\(162\) | −330.225 | + | 1373.18i | −0.160154 | + | 0.665968i | ||||
\(163\) | 155.811 | − | 50.6262i | 0.0748717 | − | 0.0243273i | −0.271342 | − | 0.962483i | \(-0.587467\pi\) |
0.346213 | + | 0.938156i | \(0.387467\pi\) | |||||||
\(164\) | 1287.40 | + | 2531.44i | 0.612982 | + | 1.20532i | ||||
\(165\) | 2306.70 | − | 1675.91i | 1.08834 | − | 0.790725i | ||||
\(166\) | −458.468 | + | 1906.45i | −0.214362 | + | 0.891379i | ||||
\(167\) | −41.2607 | + | 29.9777i | −0.0191189 | + | 0.0138907i | −0.597304 | − | 0.802015i | \(-0.703761\pi\) |
0.578185 | + | 0.815906i | \(0.303761\pi\) | |||||||
\(168\) | −443.622 | + | 1067.53i | −0.203727 | + | 0.490250i | ||||
\(169\) | −345.949 | − | 1064.72i | −0.157464 | − | 0.484626i | ||||
\(170\) | 1213.00 | − | 1977.74i | 0.547252 | − | 0.892268i | ||||
\(171\) | −497.924 | + | 685.333i | −0.222674 | + | 0.306484i | ||||
\(172\) | 1187.80 | + | 2335.60i | 0.526564 | + | 1.03539i | ||||
\(173\) | −2718.43 | − | 1975.06i | −1.19467 | − | 0.867981i | −0.200923 | − | 0.979607i | \(-0.564394\pi\) |
−0.993750 | + | 0.111626i | \(0.964394\pi\) | |||||||
\(174\) | −585.462 | − | 686.018i | −0.255079 | − | 0.298890i | ||||
\(175\) | −121.182 | − | 39.3744i | −0.0523456 | − | 0.0170081i | ||||
\(176\) | 2048.88 | − | 2811.00i | 0.877503 | − | 1.20391i | ||||
\(177\) | −2957.90 | + | 961.080i | −1.25610 | + | 0.408131i | ||||
\(178\) | −3000.61 | + | 1241.55i | −1.26351 | + | 0.522799i | ||||
\(179\) | 926.412 | − | 2851.20i | 0.386834 | − | 1.19055i | −0.548307 | − | 0.836277i | \(-0.684728\pi\) |
0.935141 | − | 0.354275i | \(-0.115272\pi\) | |||||||
\(180\) | −626.766 | + | 98.7791i | −0.259535 | + | 0.0409031i | ||||
\(181\) | 2866.55i | 1.17718i | 0.808432 | + | 0.588589i | \(0.200316\pi\) | ||||
−0.808432 | + | 0.588589i | \(0.799684\pi\) | |||||||
\(182\) | 432.891 | − | 1800.09i | 0.176308 | − | 0.733141i | ||||
\(183\) | −1589.32 | + | 2187.51i | −0.641998 | + | 0.883634i | ||||
\(184\) | 1990.97 | − | 2325.72i | 0.797696 | − | 0.931817i | ||||
\(185\) | 1912.60i | 0.760094i | ||||||||
\(186\) | −313.329 | − | 2171.88i | −0.123518 | − | 0.856182i | ||||
\(187\) | − | 3819.98i | − | 1.49382i | ||||||
\(188\) | 322.073 | + | 322.565i | 0.124945 | + | 0.125136i | ||||
\(189\) | 1014.89 | − | 1396.88i | 0.390595 | − | 0.537607i | ||||
\(190\) | 4000.81 | + | 962.126i | 1.52763 | + | 0.367368i | ||||
\(191\) | 3775.14i | 1.43016i | 0.699044 | + | 0.715078i | \(0.253609\pi\) | ||||
−0.699044 | + | 0.715078i | \(0.746391\pi\) | |||||||
\(192\) | 2052.95 | − | 1040.11i | 0.771660 | − | 0.390955i | ||||
\(193\) | 546.298 | − | 1681.33i | 0.203748 | − | 0.627073i | −0.796014 | − | 0.605278i | \(-0.793062\pi\) |
0.999762 | − | 0.0217947i | \(-0.00693801\pi\) | |||||||
\(194\) | −113.787 | − | 275.004i | −0.0421106 | − | 0.101774i | ||||
\(195\) | −2873.25 | + | 933.576i | −1.05517 | + | 0.342845i | ||||
\(196\) | −1210.41 | + | 1208.56i | −0.441111 | + | 0.440437i | ||||
\(197\) | 1788.46 | + | 581.104i | 0.646813 | + | 0.210162i | 0.614008 | − | 0.789300i | \(-0.289556\pi\) |
0.0328046 | + | 0.999462i | \(0.489556\pi\) | |||||||
\(198\) | −794.652 | + | 678.172i | −0.285219 | + | 0.243412i | ||||
\(199\) | −1716.03 | − | 1246.77i | −0.611287 | − | 0.444126i | 0.238580 | − | 0.971123i | \(-0.423318\pi\) |
−0.849867 | + | 0.526997i | \(0.823318\pi\) | |||||||
\(200\) | 132.288 | + | 216.431i | 0.0467709 | + | 0.0765200i | ||||
\(201\) | 1430.15 | − | 1968.43i | 0.501864 | − | 0.690756i | ||||
\(202\) | 3505.46 | + | 2149.99i | 1.22101 | + | 0.748876i | ||||
\(203\) | 249.162 | + | 766.841i | 0.0861465 | + | 0.265132i | ||||
\(204\) | 1149.12 | − | 2251.01i | 0.394383 | − | 0.772561i | ||||
\(205\) | −3351.90 | + | 2435.30i | −1.14198 | + | 0.829700i | ||||
\(206\) | −656.551 | − | 157.889i | −0.222059 | − | 0.0534013i | ||||
\(207\) | −743.872 | + | 540.455i | −0.249772 | + | 0.181470i | ||||
\(208\) | −2985.11 | + | 2161.85i | −0.995096 | + | 0.720659i | ||||
\(209\) | 6443.46 | − | 2093.61i | 2.13255 | − | 0.692908i | ||||
\(210\) | −1639.76 | − | 394.334i | −0.538829 | − | 0.129579i | ||||
\(211\) | − | 1647.29i | − | 0.537459i | −0.963216 | − | 0.268730i | \(-0.913396\pi\) | ||
0.963216 | − | 0.268730i | \(-0.0866038\pi\) | |||||||
\(212\) | 107.566 | + | 682.518i | 0.0348473 | + | 0.221111i | ||||
\(213\) | −3836.01 | − | 1246.40i | −1.23399 | − | 0.400946i | ||||
\(214\) | 781.801 | − | 1274.69i | 0.249733 | − | 0.407177i | ||||
\(215\) | −3092.58 | + | 2246.89i | −0.980987 | + | 0.712729i | ||||
\(216\) | −3343.25 | + | 798.592i | −1.05315 | + | 0.251562i | ||||
\(217\) | −483.536 | + | 1901.30i | −0.151265 | + | 0.594786i | ||||
\(218\) | 942.431 | − | 73.8086i | 0.292796 | − | 0.0229310i | ||||
\(219\) | −918.686 | − | 1264.46i | −0.283466 | − | 0.390158i | ||||
\(220\) | 4519.74 | + | 2307.27i | 1.38509 | + | 0.707074i | ||||
\(221\) | −1250.77 | + | 3849.48i | −0.380706 | + | 1.17169i | ||||
\(222\) | 162.673 | + | 2077.11i | 0.0491798 | + | 0.627956i | ||||
\(223\) | 2835.52 | 0.851481 | 0.425741 | − | 0.904845i | \(-0.360014\pi\) | ||||
0.425741 | + | 0.904845i | \(0.360014\pi\) | |||||||
\(224\) | −2051.47 | + | 157.511i | −0.611918 | + | 0.0469829i | ||||
\(225\) | −23.5415 | − | 72.4534i | −0.00697527 | − | 0.0214677i | ||||
\(226\) | −1148.86 | − | 2776.59i | −0.338146 | − | 0.817240i | ||||
\(227\) | −2940.83 | − | 4047.71i | −0.859867 | − | 1.18351i | −0.981601 | − | 0.190942i | \(-0.938846\pi\) |
0.121735 | − | 0.992563i | \(-0.461154\pi\) | |||||||
\(228\) | 4426.75 | + | 704.596i | 1.28583 | + | 0.204662i | ||||
\(229\) | −483.054 | − | 664.867i | −0.139393 | − | 0.191859i | 0.733613 | − | 0.679568i | \(-0.237833\pi\) |
−0.873006 | + | 0.487709i | \(0.837833\pi\) | |||||||
\(230\) | 3807.30 | + | 2335.12i | 1.09150 | + | 0.669448i | ||||
\(231\) | −2640.89 | + | 858.079i | −0.752200 | + | 0.244404i | ||||
\(232\) | 615.966 | − | 1482.27i | 0.174311 | − | 0.419463i | ||||
\(233\) | −3450.16 | − | 2506.69i | −0.970075 | − | 0.704801i | −0.0146061 | − | 0.999893i | \(-0.504649\pi\) |
−0.955469 | + | 0.295093i | \(0.904649\pi\) | |||||||
\(234\) | 1022.84 | − | 423.217i | 0.285749 | − | 0.118233i | ||||
\(235\) | −390.872 | + | 537.989i | −0.108501 | + | 0.149339i | ||||
\(236\) | −3911.10 | − | 3917.08i | −1.07877 | − | 1.08042i | ||||
\(237\) | −276.638 | + | 851.404i | −0.0758209 | + | 0.233353i | ||||
\(238\) | −1718.72 | + | 1466.79i | −0.468100 | + | 0.399486i | ||||
\(239\) | 1456.12 | + | 4481.47i | 0.394093 | + | 1.21290i | 0.929665 | + | 0.368405i | \(0.120096\pi\) |
−0.535572 | + | 0.844490i | \(0.679904\pi\) | |||||||
\(240\) | 1969.29 | + | 2719.23i | 0.529655 | + | 0.731355i | ||||
\(241\) | −711.768 | − | 231.268i | −0.190245 | − | 0.0618143i | 0.212345 | − | 0.977195i | \(-0.431890\pi\) |
−0.402590 | + | 0.915380i | \(0.631890\pi\) | |||||||
\(242\) | 4576.58 | − | 358.425i | 1.21568 | − | 0.0952084i | ||||
\(243\) | 1857.09 | 0.490256 | ||||||||
\(244\) | −4752.56 | − | 756.455i | −1.24693 | − | 0.198472i | ||||
\(245\) | −2018.77 | − | 1466.72i | −0.526427 | − | 0.382472i | ||||
\(246\) | −3433.06 | + | 2929.85i | −0.889773 | + | 0.759350i | ||||
\(247\) | −7178.72 | −1.84928 | ||||||||
\(248\) | 3192.72 | − | 2249.33i | 0.817493 | − | 0.575939i | ||||
\(249\) | −3116.09 | −0.793068 | ||||||||
\(250\) | 2857.20 | − | 2438.39i | 0.722820 | − | 0.616869i | ||||
\(251\) | 851.083 | + | 618.348i | 0.214023 | + | 0.155497i | 0.689632 | − | 0.724160i | \(-0.257772\pi\) |
−0.475609 | + | 0.879657i | \(0.657772\pi\) | |||||||
\(252\) | 610.256 | + | 97.1332i | 0.152550 | + | 0.0242810i | ||||
\(253\) | 7353.76 | 1.82738 | ||||||||
\(254\) | −5757.69 | + | 450.927i | −1.42232 | + | 0.111392i | ||||
\(255\) | 3506.61 | + | 1139.37i | 0.861147 | + | 0.279803i | ||||
\(256\) | 3306.36 | + | 2417.69i | 0.807217 | + | 0.590255i | ||||
\(257\) | −152.922 | − | 470.644i | −0.0371167 | − | 0.114233i | 0.930782 | − | 0.365576i | \(-0.119128\pi\) |
−0.967898 | + | 0.251343i | \(0.919128\pi\) | |||||||
\(258\) | −3167.47 | + | 2703.18i | −0.764333 | + | 0.652297i | ||||
\(259\) | 575.598 | − | 1771.51i | 0.138092 | − | 0.425005i | ||||
\(260\) | −3799.17 | − | 3804.98i | −0.906210 | − | 0.907596i | ||||
\(261\) | −283.360 | + | 390.012i | −0.0672014 | + | 0.0924948i | ||||
\(262\) | 565.256 | − | 233.884i | 0.133289 | − | 0.0551503i | ||||
\(263\) | 3141.40 | + | 2282.36i | 0.736528 | + | 0.535119i | 0.891622 | − | 0.452781i | \(-0.149568\pi\) |
−0.155094 | + | 0.987900i | \(0.549568\pi\) | |||||||
\(264\) | 5104.72 | + | 2121.30i | 1.19005 | + | 0.494534i | ||||
\(265\) | −958.656 | + | 311.486i | −0.222226 | + | 0.0722054i | ||||
\(266\) | −3416.11 | − | 2095.19i | −0.787426 | − | 0.482949i | ||||
\(267\) | −3033.34 | − | 4175.03i | −0.695270 | − | 0.956958i | ||||
\(268\) | 4276.59 | + | 680.695i | 0.974754 | + | 0.155150i | ||||
\(269\) | 303.500 | + | 417.732i | 0.0687908 | + | 0.0946824i | 0.842026 | − | 0.539437i | \(-0.181363\pi\) |
−0.773235 | + | 0.634119i | \(0.781363\pi\) | |||||||
\(270\) | −1917.22 | − | 4633.59i | −0.432142 | − | 1.04441i | ||||
\(271\) | −1912.67 | − | 5886.58i | −0.428731 | − | 1.31950i | −0.899376 | − | 0.437177i | \(-0.855978\pi\) |
0.470644 | − | 0.882323i | \(-0.344022\pi\) | |||||||
\(272\) | 4498.15 | + | 6.87471i | 1.00272 | + | 0.00153250i | ||||
\(273\) | 2942.25 | 0.652282 | ||||||||
\(274\) | −348.458 | − | 4449.31i | −0.0768289 | − | 0.980996i | ||||
\(275\) | −188.280 | + | 579.465i | −0.0412862 | + | 0.127066i | ||||
\(276\) | 4333.37 | + | 2212.13i | 0.945065 | + | 0.482445i | ||||
\(277\) | 2686.79 | + | 3698.04i | 0.582792 | + | 0.802144i | 0.993998 | − | 0.109398i | \(-0.0348924\pi\) |
−0.411206 | + | 0.911542i | \(0.634892\pi\) | |||||||
\(278\) | 3592.78 | − | 281.376i | 0.775109 | − | 0.0607044i | ||||
\(279\) | −1089.59 | + | 434.287i | −0.233807 | + | 0.0931903i | ||||
\(280\) | −697.370 | − | 2919.49i | −0.148842 | − | 0.623118i | ||||
\(281\) | −430.930 | + | 313.089i | −0.0914844 | + | 0.0664673i | −0.632587 | − | 0.774489i | \(-0.718007\pi\) |
0.541103 | + | 0.840956i | \(0.318007\pi\) | |||||||
\(282\) | −378.733 | + | 617.506i | −0.0799760 | + | 0.130397i | ||||
\(283\) | −5403.80 | − | 1755.80i | −1.13506 | − | 0.368804i | −0.319564 | − | 0.947565i | \(-0.603537\pi\) |
−0.815497 | + | 0.578761i | \(0.803537\pi\) | |||||||
\(284\) | −1117.57 | − | 7091.11i | −0.233505 | − | 1.48162i | ||||
\(285\) | 6539.31i | 1.35914i | ||||||||
\(286\) | −8607.64 | − | 2069.99i | −1.77965 | − | 0.427976i | ||||
\(287\) | 3837.53 | − | 1246.89i | 0.789276 | − | 0.256451i | ||||
\(288\) | −797.139 | − | 936.949i | −0.163097 | − | 0.191702i | ||||
\(289\) | 21.6860 | − | 15.7558i | 0.00441401 | − | 0.00320696i | ||||
\(290\) | 2276.79 | + | 547.530i | 0.461027 | + | 0.110869i | ||||
\(291\) | 382.639 | − | 278.003i | 0.0770814 | − | 0.0560029i | ||||
\(292\) | 1264.78 | − | 2477.59i | 0.253478 | − | 0.496541i | ||||
\(293\) | −260.875 | − | 802.890i | −0.0520153 | − | 0.160087i | 0.921675 | − | 0.387964i | \(-0.126821\pi\) |
−0.973690 | + | 0.227877i | \(0.926821\pi\) | |||||||
\(294\) | −2317.16 | − | 1421.17i | −0.459658 | − | 0.281920i | ||||
\(295\) | 4746.57 | − | 6533.09i | 0.936799 | − | 1.28939i | ||||
\(296\) | −3163.92 | + | 1933.87i | −0.621281 | + | 0.379743i | ||||
\(297\) | −6679.56 | − | 4852.98i | −1.30501 | − | 0.948144i | ||||
\(298\) | −2579.57 | + | 2201.46i | −0.501445 | + | 0.427943i | ||||
\(299\) | −7410.54 | − | 2407.83i | −1.43332 | − | 0.465714i | ||||
\(300\) | −285.261 | + | 284.825i | −0.0548985 | + | 0.0548147i | ||||
\(301\) | 3540.64 | − | 1150.42i | 0.678004 | − | 0.220297i | ||||
\(302\) | 528.362 | + | 1276.96i | 0.100675 | + | 0.243313i | ||||
\(303\) | −2019.48 | + | 6215.32i | −0.382891 | + | 1.17842i | ||||
\(304\) | 2453.69 | + | 7591.15i | 0.462924 | + | 1.43218i | ||||
\(305\) | − | 7020.62i | − | 1.31803i | ||||||
\(306\) | −1313.50 | − | 315.874i | −0.245385 | − | 0.0590108i | ||||
\(307\) | −3177.79 | + | 4373.85i | −0.590769 | + | 0.813123i | −0.994824 | − | 0.101611i | \(-0.967600\pi\) |
0.404056 | + | 0.914734i | \(0.367600\pi\) | |||||||
\(308\) | −3491.94 | − | 3497.28i | −0.646012 | − | 0.647000i | ||||
\(309\) | − | 1073.13i | − | 0.197567i | ||||||
\(310\) | 3972.83 | + | 4084.04i | 0.727876 | + | 0.748250i | ||||
\(311\) | − | 4786.15i | − | 0.872662i | −0.899786 | − | 0.436331i | \(-0.856278\pi\) | ||
0.899786 | − | 0.436331i | \(-0.143722\pi\) | |||||||
\(312\) | −4449.56 | − | 3809.11i | −0.807393 | − | 0.691181i | ||||
\(313\) | 3247.36 | − | 4469.61i | 0.586427 | − | 0.807147i | −0.407955 | − | 0.913002i | \(-0.633758\pi\) |
0.994382 | + | 0.105855i | \(0.0337579\pi\) | |||||||
\(314\) | −2395.29 | + | 9960.34i | −0.430491 | + | 1.79011i | ||||
\(315\) | 901.488i | 0.161248i | ||||||||
\(316\) | −1573.88 | + | 248.045i | −0.280182 | + | 0.0441570i | ||||
\(317\) | 293.823 | − | 904.293i | 0.0520591 | − | 0.160221i | −0.921647 | − | 0.388029i | \(-0.873156\pi\) |
0.973706 | + | 0.227808i | \(0.0731559\pi\) | |||||||
\(318\) | −1014.62 | + | 419.814i | −0.178921 | + | 0.0740314i | ||||
\(319\) | 3666.87 | − | 1191.44i | 0.643590 | − | 0.209115i | ||||
\(320\) | −2725.02 | + | 5317.98i | −0.476042 | + | 0.929013i | ||||
\(321\) | 2260.07 | + | 734.343i | 0.392975 | + | 0.127685i | ||||
\(322\) | −2823.67 | − | 3308.66i | −0.488687 | − | 0.572622i | ||||
\(323\) | 7087.92 | + | 5149.67i | 1.22100 | + | 0.887107i | ||||
\(324\) | −1810.82 | − | 3560.65i | −0.310497 | − | 0.610537i | ||||
\(325\) | 379.467 | − | 522.292i | 0.0647663 | − | 0.0891432i | ||||
\(326\) | −242.267 | + | 395.005i | −0.0411592 | + | 0.0671082i | ||||
\(327\) | 464.233 | + | 1428.76i | 0.0785081 | + | 0.241623i | ||||
\(328\) | −7417.75 | − | 3082.50i | −1.24871 | − | 0.518910i | ||||
\(329\) | 523.945 | − | 380.668i | 0.0877995 | − | 0.0637900i | ||||
\(330\) | −1885.62 | + | 7840.96i | −0.314545 | + | 1.30797i | ||||
\(331\) | 5962.08 | − | 4331.71i | 0.990048 | − | 0.719312i | 0.0301160 | − | 0.999546i | \(-0.490412\pi\) |
0.959931 | + | 0.280235i | \(0.0904123\pi\) | |||||||
\(332\) | −2514.04 | − | 4943.42i | −0.415591 | − | 0.817186i | ||||
\(333\) | 1059.17 | − | 344.144i | 0.174300 | − | 0.0566336i | ||||
\(334\) | 33.7287 | − | 140.254i | 0.00552561 | − | 0.0229772i | ||||
\(335\) | 6317.50i | 1.03033i | ||||||||
\(336\) | −1005.66 | − | 3111.28i | −0.163284 | − | 0.505162i | ||||
\(337\) | −10343.1 | − | 3360.67i | −1.67188 | − | 0.543226i | −0.688569 | − | 0.725171i | \(-0.741761\pi\) |
−0.983309 | + | 0.181945i | \(0.941761\pi\) | |||||||
\(338\) | 2699.22 | + | 1655.51i | 0.434374 | + | 0.266413i | ||||
\(339\) | 3863.33 | − | 2806.88i | 0.618960 | − | 0.449701i | ||||
\(340\) | 1021.60 | + | 6482.20i | 0.162953 | + | 1.03396i | ||||
\(341\) | 9091.59 | + | 2312.16i | 1.44380 | + | 0.367187i | ||||
\(342\) | −187.076 | − | 2388.70i | −0.0295787 | − | 0.377679i | ||||
\(343\) | 3719.99 | + | 5120.12i | 0.585599 | + | 0.806008i | ||||
\(344\) | −6843.88 | − | 2844.02i | −1.07267 | − | 0.445754i | ||||
\(345\) | −2193.37 | + | 6750.49i | −0.342281 | + | 1.05343i | ||||
\(346\) | 9474.97 | − | 742.054i | 1.47219 | − | 0.115298i | ||||
\(347\) | 8582.83 | 1.32781 | 0.663906 | − | 0.747816i | \(-0.268898\pi\) | ||||
0.663906 | + | 0.747816i | \(0.268898\pi\) | |||||||
\(348\) | 2519.19 | + | 400.974i | 0.388054 | + | 0.0617657i | ||||
\(349\) | 491.925 | + | 1513.99i | 0.0754502 | + | 0.232212i | 0.981668 | − | 0.190600i | \(-0.0610432\pi\) |
−0.906218 | + | 0.422811i | \(0.861043\pi\) | |||||||
\(350\) | 333.012 | − | 137.789i | 0.0508579 | − | 0.0210433i | ||||
\(351\) | 5142.13 | + | 7077.54i | 0.781956 | + | 1.07627i | ||||
\(352\) | 753.185 | + | 9809.69i | 0.114048 | + | 1.48539i | ||||
\(353\) | 7118.51 | + | 9797.78i | 1.07331 | + | 1.47729i | 0.866675 | + | 0.498873i | \(0.166253\pi\) |
0.206639 | + | 0.978417i | \(0.433747\pi\) | |||||||
\(354\) | 4599.15 | − | 7498.70i | 0.690515 | − | 1.12585i | ||||
\(355\) | 9960.09 | − | 3236.23i | 1.48909 | − | 0.483835i | ||||
\(356\) | 4176.07 | − | 8180.55i | 0.621718 | − | 1.21789i | ||||
\(357\) | −2905.03 | − | 2110.63i | −0.430674 | − | 0.312903i | ||||
\(358\) | 3241.94 | + | 7835.21i | 0.478609 | + | 1.15671i | ||||
\(359\) | −1844.70 | + | 2539.02i | −0.271197 | + | 0.373271i | −0.922793 | − | 0.385295i | \(-0.874100\pi\) |
0.651596 | + | 0.758566i | \(0.274100\pi\) | |||||||
\(360\) | 1167.09 | − | 1363.32i | 0.170864 | − | 0.199592i | ||||
\(361\) | −2682.15 | + | 8254.80i | −0.391041 | + | 1.20350i | ||||
\(362\) | −5263.26 | − | 6167.26i | −0.764174 | − | 0.895425i | ||||
\(363\) | 2254.38 | + | 6938.27i | 0.325962 | + | 1.00321i | ||||
\(364\) | 2373.79 | + | 4667.64i | 0.341815 | + | 0.672118i | ||||
\(365\) | 3859.57 | + | 1254.05i | 0.553477 | + | 0.179835i | ||||
\(366\) | −597.126 | − | 7624.45i | −0.0852795 | − | 1.08890i | ||||
\(367\) | 1850.99 | 0.263272 | 0.131636 | − | 0.991298i | \(-0.457977\pi\) | ||||
0.131636 | + | 0.991298i | \(0.457977\pi\) | |||||||
\(368\) | −13.2343 | + | 8659.29i | −0.00187470 | + | 1.22662i | ||||
\(369\) | 1951.75 | + | 1418.03i | 0.275350 | + | 0.200053i | ||||
\(370\) | −3511.72 | − | 4114.88i | −0.493421 | − | 0.578169i | ||||
\(371\) | 981.677 | 0.137375 | ||||||||
\(372\) | 4661.89 | + | 4097.40i | 0.649752 | + | 0.571076i | ||||
\(373\) | −7803.28 | −1.08321 | −0.541607 | − | 0.840632i | \(-0.682184\pi\) | ||||
−0.541607 | + | 0.840632i | \(0.682184\pi\) | |||||||
\(374\) | 7013.85 | + | 8218.52i | 0.969726 | + | 1.13628i | ||||
\(375\) | 4829.33 | + | 3508.71i | 0.665028 | + | 0.483171i | ||||
\(376\) | −1285.19 | − | 102.629i | −0.176272 | − | 0.0140763i | ||||
\(377\) | −4085.29 | −0.558099 | ||||||||
\(378\) | 381.307 | + | 4868.75i | 0.0518845 | + | 0.662491i | ||||
\(379\) | −5298.72 | − | 1721.66i | −0.718145 | − | 0.233339i | −0.0729260 | − | 0.997337i | \(-0.523234\pi\) |
−0.645219 | + | 0.763998i | \(0.723234\pi\) | |||||||
\(380\) | −10374.1 | + | 5275.89i | −1.40048 | + | 0.712230i | ||||
\(381\) | −2836.19 | − | 8728.88i | −0.381371 | − | 1.17374i | ||||
\(382\) | −6931.52 | − | 8122.05i | −0.928397 | − | 1.08785i | ||||
\(383\) | 1194.97 | − | 3677.75i | 0.159426 | − | 0.490664i | −0.839156 | − | 0.543891i | \(-0.816951\pi\) |
0.998582 | + | 0.0532268i | \(0.0169506\pi\) | |||||||
\(384\) | −2507.09 | + | 6007.15i | −0.333175 | + | 0.798310i | ||||
\(385\) | 4237.86 | − | 5832.92i | 0.560991 | − | 0.772138i | ||||
\(386\) | 1911.75 | + | 4620.37i | 0.252087 | + | 0.609250i | ||||
\(387\) | 1800.75 | + | 1308.32i | 0.236531 | + | 0.171850i | ||||
\(388\) | 749.742 | + | 382.734i | 0.0980989 | + | 0.0500783i | ||||
\(389\) | −6741.45 | + | 2190.43i | −0.878676 | + | 0.285499i | −0.713408 | − | 0.700749i | \(-0.752849\pi\) |
−0.165269 | + | 0.986249i | \(0.552849\pi\) | |||||||
\(390\) | 4467.53 | − | 7284.10i | 0.580057 | − | 0.945756i | ||||
\(391\) | 5589.54 | + | 7693.35i | 0.722955 | + | 0.995062i | ||||
\(392\) | 385.108 | − | 4822.58i | 0.0496196 | − | 0.621371i | ||||
\(393\) | 571.421 | + | 786.494i | 0.0733445 | + | 0.100950i | ||||
\(394\) | −4914.74 | + | 2033.55i | −0.628429 | + | 0.260023i | ||||
\(395\) | −718.282 | − | 2210.65i | −0.0914955 | − | 0.281594i | ||||
\(396\) | 464.470 | − | 2918.11i | 0.0589406 | − | 0.370305i | ||||
\(397\) | 6505.96 | 0.822481 | 0.411241 | − | 0.911527i | \(-0.365096\pi\) | ||||
0.411241 | + | 0.911527i | \(0.365096\pi\) | |||||||
\(398\) | 5981.14 | − | 468.427i | 0.753285 | − | 0.0589952i | ||||
\(399\) | 1968.01 | − | 6056.90i | 0.246926 | − | 0.759961i | ||||
\(400\) | −682.000 | − | 222.748i | −0.0852500 | − | 0.0278435i | ||||
\(401\) | −5379.57 | − | 7404.35i | −0.669933 | − | 0.922083i | 0.329826 | − | 0.944042i | \(-0.393010\pi\) |
−0.999759 | + | 0.0219584i | \(0.993010\pi\) | |||||||
\(402\) | 537.324 | + | 6860.86i | 0.0666649 | + | 0.851215i | ||||
\(403\) | −8404.73 | − | 5306.87i | −1.03888 | − | 0.655965i | ||||
\(404\) | −11489.4 | + | 1810.75i | −1.41490 | + | 0.222990i | ||||
\(405\) | 4714.68 | − | 3425.41i | 0.578455 | − | 0.420272i | ||||
\(406\) | −1944.05 | − | 1192.34i | −0.237640 | − | 0.145751i | ||||
\(407\) | −8470.97 | − | 2752.38i | −1.03167 | − | 0.335210i | ||||
\(408\) | 1660.80 | + | 6952.83i | 0.201524 | + | 0.843668i | ||||
\(409\) | 8527.55i | 1.03095i | 0.856903 | + | 0.515477i | \(0.172385\pi\) | ||||
−0.856903 | + | 0.515477i | \(0.827615\pi\) | |||||||
\(410\) | 2740.02 | − | 11393.8i | 0.330049 | − | 1.37244i | ||||
\(411\) | 6745.33 | − | 2191.69i | 0.809544 | − | 0.263037i | ||||
\(412\) | 1702.44 | − | 865.798i | 0.203576 | − | 0.103531i | ||||
\(413\) | −6362.54 | + | 4622.66i | −0.758063 | + | 0.550765i | ||||
\(414\) | 608.081 | − | 2528.58i | 0.0721874 | − | 0.300177i | ||||
\(415\) | 6545.62 | − | 4755.67i | 0.774245 | − | 0.562522i | ||||
\(416\) | 2452.97 | − | 10132.1i | 0.289103 | − | 1.19415i | ||||
\(417\) | 1769.77 | + | 5446.79i | 0.207832 | + | 0.639641i | ||||
\(418\) | −10018.8 | + | 16335.1i | −1.17233 | + | 1.91143i | ||||
\(419\) | −7617.55 | + | 10484.7i | −0.888166 | + | 1.22246i | 0.0859256 | + | 0.996302i | \(0.472615\pi\) |
−0.974092 | + | 0.226154i | \(0.927385\pi\) | |||||||
\(420\) | 4251.90 | − | 2162.36i | 0.493979 | − | 0.251220i | ||||
\(421\) | −12148.4 | − | 8826.33i | −1.40636 | − | 1.02178i | −0.993839 | − | 0.110830i | \(-0.964649\pi\) |
−0.412519 | − | 0.910949i | \(-0.635351\pi\) | |||||||
\(422\) | 3024.57 | + | 3544.06i | 0.348896 | + | 0.408820i | ||||
\(423\) | 368.261 | + | 119.655i | 0.0423297 | + | 0.0137538i | ||||
\(424\) | −1484.59 | − | 1270.91i | −0.170043 | − | 0.145567i | ||||
\(425\) | −749.334 | + | 243.474i | −0.0855249 | + | 0.0277887i | ||||
\(426\) | 10541.5 | − | 4361.71i | 1.19891 | − | 0.496070i | ||||
\(427\) | −2112.85 | + | 6502.70i | −0.239457 | + | 0.736973i | ||||
\(428\) | 658.441 | + | 4177.90i | 0.0743621 | + | 0.471837i | ||||
\(429\) | − | 14069.2i | − | 1.58337i | ||||||
\(430\) | 2528.04 | − | 10512.4i | 0.283519 | − | 1.17896i | ||||
\(431\) | −3627.26 | + | 4992.49i | −0.405380 | + | 0.557958i | −0.962084 | − | 0.272753i | \(-0.912066\pi\) |
0.556704 | + | 0.830711i | \(0.312066\pi\) | |||||||
\(432\) | 5726.57 | − | 7856.66i | 0.637777 | − | 0.875009i | ||||
\(433\) | 9360.76i | 1.03891i | 0.854497 | + | 0.519457i | \(0.173866\pi\) | ||||
−0.854497 | + | 0.519457i | \(0.826134\pi\) | |||||||
\(434\) | −2450.66 | − | 4978.37i | −0.271049 | − | 0.550621i | ||||
\(435\) | 3721.42i | 0.410180i | ||||||||
\(436\) | −1892.08 | + | 1889.19i | −0.207831 | + | 0.207513i | ||||
\(437\) | −9913.51 | + | 13644.8i | −1.08519 | + | 1.49363i | ||||
\(438\) | 4298.19 | + | 1033.64i | 0.468893 | + | 0.112761i | ||||
\(439\) | − | 2636.25i | − | 0.286608i | −0.989679 | − | 0.143304i | \(-0.954227\pi\) | ||
0.989679 | − | 0.143304i | \(-0.0457727\pi\) | |||||||
\(440\) | −13960.4 | + | 3334.67i | −1.51258 | + | 0.361305i | ||||
\(441\) | −448.999 | + | 1381.88i | −0.0484828 | + | 0.149215i | ||||
\(442\) | −4377.03 | − | 10578.5i | −0.471028 | − | 1.13839i | ||||
\(443\) | 1034.69 | − | 336.190i | 0.110970 | − | 0.0360562i | −0.253006 | − | 0.967465i | \(-0.581419\pi\) |
0.363975 | + | 0.931409i | \(0.381419\pi\) | |||||||
\(444\) | −4163.75 | − | 4170.11i | −0.445051 | − | 0.445732i | ||||
\(445\) | 12743.6 | + | 4140.64i | 1.35754 | + | 0.441091i | ||||
\(446\) | −6100.49 | + | 5206.28i | −0.647683 | + | 0.552745i | ||||
\(447\) | −4360.08 | − | 3167.78i | −0.461353 | − | 0.335192i | ||||
\(448\) | 4124.44 | − | 4105.57i | 0.434959 | − | 0.432969i | ||||
\(449\) | 5836.54 | − | 8033.31i | 0.613460 | − | 0.844355i | −0.383397 | − | 0.923584i | \(-0.625246\pi\) |
0.996856 | + | 0.0792287i | \(0.0252457\pi\) | |||||||
\(450\) | 183.680 | + | 112.656i | 0.0192417 | + | 0.0118014i | ||||
\(451\) | −5962.35 | − | 18350.2i | −0.622519 | − | 1.91592i | ||||
\(452\) | 7569.81 | + | 3864.30i | 0.787730 | + | 0.402127i | ||||
\(453\) | −1776.75 | + | 1290.88i | −0.184280 | + | 0.133887i | ||||
\(454\) | 13759.0 | + | 3308.81i | 1.42234 | + | 0.342049i | ||||
\(455\) | −6180.45 | + | 4490.36i | −0.636800 | + | 0.462663i | ||||
\(456\) | −10817.6 | + | 6612.02i | −1.11093 | + | 0.679027i | ||||
\(457\) | 13050.6 | − | 4240.39i | 1.33584 | − | 0.434041i | 0.447936 | − | 0.894066i | \(-0.352159\pi\) |
0.887906 | + | 0.460024i | \(0.152159\pi\) | |||||||
\(458\) | 2260.03 | + | 543.498i | 0.230577 | + | 0.0554498i | ||||
\(459\) | − | 10676.7i | − | 1.08572i | ||||||
\(460\) | −12478.7 | + | 1966.66i | −1.26483 | + | 0.199339i | ||||
\(461\) | 7232.65 | + | 2350.03i | 0.730712 | + | 0.237423i | 0.650661 | − | 0.759368i | \(-0.274492\pi\) |
0.0800506 | + | 0.996791i | \(0.474492\pi\) | |||||||
\(462\) | 4106.25 | − | 6695.05i | 0.413507 | − | 0.674203i | ||||
\(463\) | −2986.93 | + | 2170.13i | −0.299815 | + | 0.217828i | −0.727514 | − | 0.686093i | \(-0.759324\pi\) |
0.427699 | + | 0.903921i | \(0.359324\pi\) | |||||||
\(464\) | 1396.36 | + | 4320.00i | 0.139707 | + | 0.432222i | ||||
\(465\) | −4834.18 | + | 7656.12i | −0.482107 | + | 0.763536i | ||||
\(466\) | 12025.4 | − | 941.794i | 1.19542 | − | 0.0936219i | ||||
\(467\) | −7663.38 | − | 10547.7i | −0.759356 | − | 1.04516i | −0.997267 | − | 0.0738765i | \(-0.976463\pi\) |
0.237912 | − | 0.971287i | \(-0.423537\pi\) | |||||||
\(468\) | −1423.53 | + | 2788.56i | −0.140604 | + | 0.275430i | ||||
\(469\) | 1901.25 | − | 5851.45i | 0.187189 | − | 0.576108i | ||||
\(470\) | −146.856 | − | 1875.14i | −0.0144127 | − | 0.184029i | ||||
\(471\) | −16280.2 | −1.59268 | ||||||||
\(472\) | 15606.7 | + | 1246.27i | 1.52194 | + | 0.121535i | ||||
\(473\) | −5501.08 | − | 16930.6i | −0.534756 | − | 1.64581i | ||||
\(474\) | −968.084 | − | 2339.69i | −0.0938092 | − | 0.226720i | ||||
\(475\) | −821.371 | − | 1130.52i | −0.0793412 | − | 0.109204i | ||||
\(476\) | 1004.58 | − | 6311.45i | 0.0967329 | − | 0.607741i | ||||
\(477\) | 344.991 | + | 474.840i | 0.0331155 | + | 0.0455795i | ||||
\(478\) | −11361.2 | − | 6968.10i | −1.08713 | − | 0.666765i | ||||
\(479\) | −14455.7 | + | 4696.93i | −1.37891 | + | 0.448034i | −0.902310 | − | 0.431088i | \(-0.858130\pi\) |
−0.476597 | + | 0.879122i | \(0.658130\pi\) | |||||||
\(480\) | −9229.59 | − | 2234.49i | −0.877649 | − | 0.212479i | ||||
\(481\) | 7635.17 | + | 5547.28i | 0.723771 | + | 0.525850i | ||||
\(482\) | 1955.97 | − | 809.312i | 0.184838 | − | 0.0764796i | ||||
\(483\) | 4063.12 | − | 5592.40i | 0.382771 | − | 0.526839i | ||||
\(484\) | −9188.20 | + | 9174.16i | −0.862904 | + | 0.861586i | ||||
\(485\) | −379.487 | + | 1167.94i | −0.0355291 | + | 0.109347i | ||||
\(486\) | −3995.44 | + | 3409.79i | −0.372916 | + | 0.318254i | ||||
\(487\) | −5904.84 | − | 18173.2i | −0.549433 | − | 1.69098i | −0.710210 | − | 0.703990i | \(-0.751400\pi\) |
0.160776 | − | 0.986991i | \(-0.448600\pi\) | |||||||
\(488\) | 11613.8 | − | 7098.67i | 1.07732 | − | 0.658487i | ||||
\(489\) | −700.359 | − | 227.560i | −0.0647675 | − | 0.0210442i | ||||
\(490\) | 7036.35 | − | 551.067i | 0.648714 | − | 0.0508055i | ||||
\(491\) | 7591.34 | 0.697745 | 0.348872 | − | 0.937170i | \(-0.386565\pi\) | ||||
0.348872 | + | 0.937170i | \(0.386565\pi\) | |||||||
\(492\) | 2006.61 | − | 12606.9i | 0.183872 | − | 1.15521i | ||||
\(493\) | 4033.62 | + | 2930.60i | 0.368489 | + | 0.267723i | ||||
\(494\) | 15444.7 | − | 13180.8i | 1.40666 | − | 1.20047i | ||||
\(495\) | 4310.72 | 0.391419 | ||||||||
\(496\) | −2739.01 | + | 10701.5i | −0.247954 | + | 0.968772i | ||||
\(497\) | −10199.3 | −0.920523 | ||||||||
\(498\) | 6704.12 | − | 5721.43i | 0.603250 | − | 0.514826i | ||||
\(499\) | −10245.7 | − | 7443.90i | −0.919155 | − | 0.667805i | 0.0241586 | − | 0.999708i | \(-0.492309\pi\) |
−0.943314 | + | 0.331903i | \(0.892309\pi\) | |||||||
\(500\) | −1670.02 | + | 10492.2i | −0.149371 | + | 0.938448i | ||||
\(501\) | 229.245 | 0.0204430 | ||||||||
\(502\) | −2966.41 | + | 232.321i | −0.263740 | + | 0.0206554i | ||||
\(503\) | 14131.6 | + | 4591.65i | 1.25268 | + | 0.407021i | 0.858881 | − | 0.512176i | \(-0.171160\pi\) |
0.393800 | + | 0.919196i | \(0.371160\pi\) | |||||||
\(504\) | −1491.28 | + | 911.511i | −0.131800 | + | 0.0805593i | ||||
\(505\) | −5243.52 | − | 16137.9i | −0.462047 | − | 1.42203i | ||||
\(506\) | −15821.3 | + | 13502.2i | −1.39000 | + | 1.18626i | ||||
\(507\) | −1555.01 | + | 4785.83i | −0.136214 | + | 0.419224i | ||||
\(508\) | 11559.5 | − | 11541.8i | 1.00958 | − | 1.00804i | ||||
\(509\) | 3274.79 | − | 4507.36i | 0.285172 | − | 0.392505i | −0.642267 | − | 0.766481i | \(-0.722006\pi\) |
0.927438 | + | 0.373976i | \(0.122006\pi\) | |||||||
\(510\) | −9636.29 | + | 3987.17i | −0.836671 | + | 0.346186i | ||||
\(511\) | −3197.44 | − | 2323.07i | −0.276803 | − | 0.201109i | ||||
\(512\) | −11552.6 | + | 869.246i | −0.997181 | + | 0.0750305i | ||||
\(513\) | 18009.3 | − | 5851.56i | 1.54996 | − | 0.503612i | ||||
\(514\) | 1193.15 | + | 731.791i | 0.102388 | + | 0.0627975i | ||||
\(515\) | 1637.78 | + | 2254.21i | 0.140134 | + | 0.192878i | ||||
\(516\) | 1851.37 | − | 11631.5i | 0.157949 | − | 0.992345i | ||||
\(517\) | −1820.27 | − | 2505.39i | −0.154846 | − | 0.213128i | ||||
\(518\) | 2014.28 | + | 4868.17i | 0.170854 | + | 0.412925i | ||||
\(519\) | 4667.28 | + | 14364.4i | 0.394742 | + | 1.21489i | ||||
\(520\) | 15160.0 | + | 1210.61i | 1.27848 | + | 0.102094i | ||||
\(521\) | 17389.9 | 1.46231 | 0.731155 | − | 0.682211i | \(-0.238982\pi\) | ||||
0.731155 | + | 0.682211i | \(0.238982\pi\) | |||||||
\(522\) | −106.462 | − | 1359.37i | −0.00892667 | − | 0.113981i | ||||
\(523\) | −5988.73 | + | 18431.4i | −0.500705 | + | 1.54101i | 0.307168 | + | 0.951655i | \(0.400619\pi\) |
−0.807873 | + | 0.589356i | \(0.799381\pi\) | |||||||
\(524\) | −786.690 | + | 1541.05i | −0.0655853 | + | 0.128476i | ||||
\(525\) | 336.644 | + | 463.351i | 0.0279855 | + | 0.0385187i | ||||
\(526\) | −10949.2 | + | 857.511i | −0.907619 | + | 0.0710823i | ||||
\(527\) | 4491.52 | + | 11268.9i | 0.371260 | + | 0.931462i | ||||
\(528\) | −14877.5 | + | 4808.86i | −1.22625 | + | 0.396361i | ||||
\(529\) | −4966.96 | + | 3608.71i | −0.408232 | + | 0.296598i | ||||
\(530\) | 1490.59 | − | 2430.33i | 0.122164 | − | 0.199183i | ||||
\(531\) | −4471.99 | − | 1453.04i | −0.365476 | − | 0.118750i | ||||
\(532\) | 11196.6 | − | 1764.59i | 0.912469 | − | 0.143806i | ||||
\(533\) | 20444.2i | 1.66142i | ||||||||
\(534\) | 14191.8 | + | 3412.89i | 1.15008 | + | 0.276574i | ||||
\(535\) | −5868.22 | + | 1906.70i | −0.474216 | + | 0.154082i | ||||
\(536\) | −10450.7 | + | 6387.73i | −0.842167 | + | 0.514754i | ||||
\(537\) | −10901.9 | + | 7920.66i | −0.876070 | + | 0.636502i | ||||
\(538\) | −1419.96 | − | 341.477i | −0.113790 | − | 0.0273645i | ||||
\(539\) | 9401.33 | − | 6830.47i | 0.751288 | − | 0.545842i | ||||
\(540\) | 12632.5 | + | 6448.75i | 1.00670 | + | 0.513908i | ||||
\(541\) | −7045.06 | − | 21682.5i | −0.559872 | − | 1.72311i | −0.682717 | − | 0.730683i | \(-0.739202\pi\) |
0.122846 | − | 0.992426i | \(-0.460798\pi\) | |||||||
\(542\) | 14923.3 | + | 9152.88i | 1.18268 | + | 0.725369i | ||||
\(543\) | 7573.56 | − | 10424.1i | 0.598550 | − | 0.823833i | ||||
\(544\) | −9690.20 | + | 8244.25i | −0.763720 | + | 0.649759i | ||||
\(545\) | −3155.69 | − | 2292.75i | −0.248028 | − | 0.180203i | ||||
\(546\) | −6330.11 | + | 5402.24i | −0.496161 | + | 0.423433i | ||||
\(547\) | −23175.0 | − | 7530.02i | −1.81150 | − | 0.588593i | −0.999991 | − | 0.00425696i | \(-0.998645\pi\) |
−0.811512 | − | 0.584336i | \(-0.801355\pi\) | |||||||
\(548\) | 8919.05 | + | 8932.69i | 0.695261 | + | 0.696324i | ||||
\(549\) | −3887.90 | + | 1263.25i | −0.302243 | + | 0.0982047i | ||||
\(550\) | −658.878 | − | 1592.39i | −0.0510812 | − | 0.123454i | ||||
\(551\) | −2732.57 | + | 8409.98i | −0.211273 | + | 0.650231i | ||||
\(552\) | −13384.7 | + | 3197.17i | −1.03205 | + | 0.246523i | ||||
\(553\) | 2263.73i | 0.174075i | ||||||||
\(554\) | −12570.5 | − | 3022.98i | −0.964021 | − | 0.231830i | ||||
\(555\) | 5053.18 | − | 6955.11i | 0.386479 | − | 0.531942i | ||||
\(556\) | −7213.06 | + | 7202.05i | −0.550183 | + | 0.549343i | ||||
\(557\) | − | 206.605i | − | 0.0157166i | −0.999969 | − | 0.00785831i | \(-0.997499\pi\) | ||
0.999969 | − | 0.00785831i | \(-0.00250140\pi\) | |||||||
\(558\) | 1546.82 | − | 2934.95i | 0.117351 | − | 0.222663i | ||||
\(559\) | 18862.5i | 1.42719i | ||||||||
\(560\) | 6860.82 | + | 5000.72i | 0.517719 | + | 0.377355i | ||||
\(561\) | −10092.6 | + | 13891.2i | −0.759551 | + | 1.04543i | ||||
\(562\) | 352.265 | − | 1464.82i | 0.0264402 | − | 0.109946i | ||||
\(563\) | 14355.9i | 1.07465i | 0.843375 | + | 0.537326i | \(0.180565\pi\) | ||||
−0.843375 | + | 0.537326i | \(0.819435\pi\) | |||||||
\(564\) | −318.973 | − | 2023.93i | −0.0238142 | − | 0.151104i | ||||
\(565\) | −3831.52 | + | 11792.2i | −0.285297 | + | 0.878055i | ||||
\(566\) | 14849.8 | − | 6144.36i | 1.10280 | − | 0.456302i | ||||
\(567\) | −5397.75 | + | 1753.83i | −0.399796 | + | 0.129901i | ||||
\(568\) | 15424.4 | + | 13204.2i | 1.13942 | + | 0.975419i | ||||
\(569\) | 15580.2 | + | 5062.31i | 1.14790 | + | 0.372976i | 0.820352 | − | 0.571858i | \(-0.193777\pi\) |
0.327549 | + | 0.944834i | \(0.393777\pi\) | |||||||
\(570\) | −12006.8 | − | 14069.0i | −0.882297 | − | 1.03384i | ||||
\(571\) | −5491.28 | − | 3989.65i | −0.402457 | − | 0.292402i | 0.368084 | − | 0.929792i | \(-0.380014\pi\) |
−0.770541 | + | 0.637391i | \(0.780014\pi\) | |||||||
\(572\) | 22319.7 | − | 11351.0i | 1.63152 | − | 0.829733i | ||||
\(573\) | 9974.09 | − | 13728.2i | 0.727179 | − | 1.00088i | ||||
\(574\) | −5966.86 | + | 9728.69i | −0.433889 | + | 0.707435i | ||||
\(575\) | −468.705 | − | 1442.53i | −0.0339936 | − | 0.104622i | ||||
\(576\) | 3435.34 | + | 552.180i | 0.248505 | + | 0.0399436i | ||||
\(577\) | 1244.33 | − | 904.061i | 0.0897786 | − | 0.0652280i | −0.541990 | − | 0.840385i | \(-0.682329\pi\) |
0.631769 | + | 0.775157i | \(0.282329\pi\) | |||||||
\(578\) | −17.7273 | + | 73.7155i | −0.00127571 | + | 0.00530478i | ||||
\(579\) | −6428.75 | + | 4670.76i | −0.461433 | + | 0.335251i | ||||
\(580\) | −5903.74 | + | 3002.42i | −0.422654 | + | 0.214946i | ||||
\(581\) | −7493.96 | + | 2434.93i | −0.535115 | + | 0.173869i | ||||
\(582\) | −312.789 | + | 1300.67i | −0.0222776 | + | 0.0926368i | ||||
\(583\) | − | 4694.16i | − | 0.333469i | ||||||
\(584\) | 1827.97 | + | 7652.67i | 0.129524 | + | 0.542243i | ||||
\(585\) | −4344.01 | − | 1411.45i | −0.307013 | − | 0.0997545i | ||||
\(586\) | 2035.44 | + | 1248.39i | 0.143487 | + | 0.0880044i | ||||
\(587\) | −4454.13 | + | 3236.11i | −0.313188 | + | 0.227545i | −0.733263 | − | 0.679945i | \(-0.762004\pi\) |
0.420075 | + | 0.907489i | \(0.362004\pi\) | |||||||
\(588\) | 7594.67 | − | 1196.93i | 0.532651 | − | 0.0839464i | ||||
\(589\) | −16546.4 | + | 13752.3i | −1.15753 | + | 0.962061i | ||||
\(590\) | 1783.35 | + | 22770.8i | 0.124439 | + | 1.58891i | ||||
\(591\) | −4968.34 | − | 6838.34i | −0.345804 | − | 0.475959i | ||||
\(592\) | 3256.27 | − | 9969.89i | 0.226067 | − | 0.692162i | ||||
\(593\) | 4209.02 | − | 12954.0i | 0.291473 | − | 0.897062i | −0.692910 | − | 0.721024i | \(-0.743672\pi\) |
0.984383 | − | 0.176038i | \(-0.0563282\pi\) | |||||||
\(594\) | 23281.3 | − | 1823.33i | 1.60815 | − | 0.125946i | ||||
\(595\) | 9323.45 | 0.642394 | ||||||||
\(596\) | 1507.75 | − | 9472.67i | 0.103624 | − | 0.651033i | ||||
\(597\) | 2946.26 | + | 9067.64i | 0.201980 | + | 0.621631i | ||||
\(598\) | 20364.5 | − | 8426.12i | 1.39258 | − | 0.576203i | ||||
\(599\) | 1049.97 | + | 1445.16i | 0.0716204 | + | 0.0985771i | 0.843324 | − | 0.537405i | \(-0.180595\pi\) |
−0.771704 | + | 0.635982i | \(0.780595\pi\) | |||||||
\(600\) | 90.7598 | − | 1136.55i | 0.00617542 | − | 0.0773328i | ||||
\(601\) | −6686.22 | − | 9202.79i | −0.453805 | − | 0.624609i | 0.519405 | − | 0.854528i | \(-0.326154\pi\) |
−0.973210 | + | 0.229920i | \(0.926154\pi\) | |||||||
\(602\) | −5505.24 | + | 8976.04i | −0.372719 | + | 0.607701i | ||||
\(603\) | 3498.52 | − | 1136.74i | 0.236270 | − | 0.0767688i | ||||
\(604\) | −3481.36 | − | 1777.19i | −0.234527 | − | 0.119724i | ||||
\(605\) | −15324.5 | − | 11133.9i | −1.02980 | − | 0.748194i | ||||
\(606\) | −7067.10 | − | 17079.9i | −0.473731 | − | 1.14493i | ||||
\(607\) | 7699.05 | − | 10596.8i | 0.514818 | − | 0.708586i | −0.469904 | − | 0.882717i | \(-0.655712\pi\) |
0.984723 | + | 0.174131i | \(0.0557116\pi\) | |||||||
\(608\) | −19217.1 | − | 11826.8i | −1.28183 | − | 0.788882i | ||||
\(609\) | 1119.96 | − | 3446.88i | 0.0745207 | − | 0.229351i | ||||
\(610\) | 12890.5 | + | 15104.5i | 0.855609 | + | 1.00257i | ||||
\(611\) | 1013.99 | + | 3120.75i | 0.0671387 | + | 0.206632i | ||||
\(612\) | 3405.91 | − | 1732.12i | 0.224960 | − | 0.114407i | ||||
\(613\) | −12010.2 | − | 3902.35i | −0.791333 | − | 0.257120i | −0.114661 | − | 0.993405i | \(-0.536578\pi\) |
−0.676671 | + | 0.736285i | \(0.736578\pi\) | |||||||
\(614\) | −1193.94 | − | 15244.9i | −0.0784745 | − | 1.00201i | ||||
\(615\) | 18623.2 | 1.22107 | ||||||||
\(616\) | 13934.1 | + | 1112.71i | 0.911396 | + | 0.0727797i | ||||
\(617\) | 15962.1 | + | 11597.1i | 1.04151 | + | 0.756699i | 0.970579 | − | 0.240782i | \(-0.0774040\pi\) |
0.0709277 | + | 0.997481i | \(0.477404\pi\) | |||||||
\(618\) | 1970.37 | + | 2308.79i | 0.128252 | + | 0.150280i | ||||
\(619\) | 23362.6 | 1.51700 | 0.758498 | − | 0.651676i | \(-0.225934\pi\) | ||||
0.758498 | + | 0.651676i | \(0.225934\pi\) | |||||||
\(620\) | −16046.0 | − | 1492.13i | −1.03939 | − | 0.0966538i | ||||
\(621\) | 20553.5 | 1.32815 | ||||||||
\(622\) | 8787.83 | + | 10297.2i | 0.566495 | + | 0.663794i | ||||
\(623\) | −10557.4 | − | 7670.37i | −0.678927 | − | 0.493269i | ||||
\(624\) | 16566.9 | + | 25.3199i | 1.06283 | + | 0.00162437i | ||||
\(625\) | −16900.6 | −1.08164 | ||||||||
\(626\) | 1220.07 | + | 15578.6i | 0.0778978 | + | 0.994643i | ||||
\(627\) | −28962.8 | − | 9410.58i | −1.84476 | − | 0.599398i | ||||
\(628\) | −13134.8 | − | 25827.2i | −0.834609 | − | 1.64111i | ||||
\(629\) | −3559.24 | − | 10954.2i | −0.225622 | − | 0.694393i | ||||
\(630\) | −1655.22 | − | 1939.51i | −0.104675 | − | 0.122654i | ||||
\(631\) | 2609.86 | − | 8032.32i | 0.164654 | − | 0.506754i | −0.834356 | − | 0.551225i | \(-0.814160\pi\) |
0.999011 | + | 0.0444716i | \(0.0141604\pi\) | |||||||
\(632\) | 2930.69 | − | 3423.44i | 0.184456 | − | 0.215470i | ||||
\(633\) | −4352.20 | + | 5990.29i | −0.273277 | + | 0.376134i | ||||
\(634\) | 1028.22 | + | 2485.03i | 0.0644100 | + | 0.155668i | ||||
\(635\) | 19279.4 | + | 14007.3i | 1.20485 | + | 0.875375i | ||||
\(636\) | 1412.08 | − | 2766.14i | 0.0880389 | − | 0.172460i | ||||
\(637\) | −11710.4 | + | 3804.95i | −0.728389 | + | 0.236668i | ||||
\(638\) | −5701.51 | + | 9296.04i | −0.353801 | + | 0.576855i | ||||
\(639\) | −3584.34 | − | 4933.42i | −0.221900 | − | 0.305419i | ||||
\(640\) | −3901.56 | − | 16444.8i | −0.240973 | − | 1.01568i | ||||
\(641\) | −6948.41 | − | 9563.67i | −0.428152 | − | 0.589301i | 0.539376 | − | 0.842065i | \(-0.318660\pi\) |
−0.967528 | + | 0.252764i | \(0.918660\pi\) | |||||||
\(642\) | −6210.77 | + | 2569.81i | −0.381806 | + | 0.157978i | ||||
\(643\) | 2793.69 | + | 8598.09i | 0.171341 | + | 0.527333i | 0.999447 | − | 0.0332374i | \(-0.0105817\pi\) |
−0.828106 | + | 0.560571i | \(0.810582\pi\) | |||||||
\(644\) | 12150.0 | + | 1933.89i | 0.743443 | + | 0.118332i | ||||
\(645\) | 17182.4 | 1.04893 | ||||||||
\(646\) | −24704.6 | + | 1934.80i | −1.50463 | + | 0.117838i | ||||
\(647\) | −4313.34 | + | 13275.1i | −0.262094 | + | 0.806644i | 0.730254 | + | 0.683176i | \(0.239402\pi\) |
−0.992349 | + | 0.123468i | \(0.960598\pi\) | |||||||
\(648\) | 10433.6 | + | 4335.75i | 0.632515 | + | 0.262846i | ||||
\(649\) | 22104.5 | + | 30424.3i | 1.33695 | + | 1.84015i | ||||
\(650\) | 142.571 | + | 1820.42i | 0.00860320 | + | 0.109851i | ||||
\(651\) | 6781.67 | − | 5636.47i | 0.408287 | − | 0.339341i | ||||
\(652\) | −204.040 | − | 1294.66i | −0.0122559 | − | 0.0777650i | ||||
\(653\) | −14214.8 | + | 10327.7i | −0.851866 | + | 0.618917i | −0.925660 | − | 0.378357i | \(-0.876489\pi\) |
0.0737939 | + | 0.997274i | \(0.476489\pi\) | |||||||
\(654\) | −3622.12 | − | 2221.54i | −0.216569 | − | 0.132827i | ||||
\(655\) | −2400.64 | − | 780.016i | −0.143207 | − | 0.0465309i | ||||
\(656\) | 21618.7 | − | 6987.83i | 1.28669 | − | 0.415898i | ||||
\(657\) | − | 2363.01i | − | 0.140319i | ||||||
\(658\) | −428.301 | + | 1781.00i | −0.0253752 | + | 0.105518i | ||||
\(659\) | −8927.08 | + | 2900.58i | −0.527693 | + | 0.171458i | −0.560734 | − | 0.827996i | \(-0.689481\pi\) |
0.0330408 | + | 0.999454i | \(0.489481\pi\) | |||||||
\(660\) | −10339.9 | − | 20331.6i | −0.609820 | − | 1.19910i | ||||
\(661\) | 12998.7 | − | 9444.09i | 0.764886 | − | 0.555723i | −0.135519 | − | 0.990775i | \(-0.543270\pi\) |
0.900405 | + | 0.435052i | \(0.143270\pi\) | |||||||
\(662\) | −4873.73 | + | 20266.4i | −0.286137 | + | 1.18984i | ||||
\(663\) | 14718.9 | − | 10693.9i | 0.862193 | − | 0.626420i | ||||
\(664\) | 14485.4 | + | 6019.53i | 0.846603 | + | 0.351812i | ||||
\(665\) | 5109.87 | + | 15726.6i | 0.297974 | + | 0.917068i | ||||
\(666\) | −1646.87 | + | 2685.14i | −0.0958181 | + | 0.156227i | ||||
\(667\) | −5641.62 | + | 7765.02i | −0.327503 | + | 0.450769i | ||||
\(668\) | 184.954 | + | 363.680i | 0.0107127 | + | 0.0210647i | ||||
\(669\) | −10311.2 | − | 7491.56i | −0.595898 | − | 0.432945i | ||||
\(670\) | −11599.5 | − | 13591.8i | −0.668849 | − | 0.783727i | ||||
\(671\) | 31094.5 | + | 10103.2i | 1.78896 | + | 0.581267i | ||||
\(672\) | 7876.25 | + | 4847.29i | 0.452132 | + | 0.278256i | ||||
\(673\) | 21797.8 | − | 7082.54i | 1.24851 | − | 0.405664i | 0.391120 | − | 0.920340i | \(-0.372088\pi\) |
0.857385 | + | 0.514676i | \(0.172088\pi\) | |||||||
\(674\) | 28423.1 | − | 11760.5i | 1.62436 | − | 0.672105i | ||||
\(675\) | −526.236 | + | 1619.59i | −0.0300071 | + | 0.0923525i | ||||
\(676\) | −8846.93 | + | 1394.29i | −0.503353 | + | 0.0793290i | ||||
\(677\) | − | 18565.9i | − | 1.05398i | −0.849872 | − | 0.526990i | \(-0.823321\pi\) | ||
0.849872 | − | 0.526990i | \(-0.176679\pi\) | |||||||
\(678\) | −3158.10 | + | 13132.3i | −0.178888 | + | 0.743869i | ||||
\(679\) | 702.984 | − | 967.575i | 0.0397320 | − | 0.0546865i | ||||
\(680\) | −14099.9 | − | 12070.4i | −0.795154 | − | 0.680704i | ||||
\(681\) | 22489.1i | 1.26547i | ||||||||
\(682\) | −23805.5 | + | 11718.5i | −1.33660 | + | 0.657955i | ||||
\(683\) | − | 24252.1i | − | 1.35868i | −0.733822 | − | 0.679342i | \(-0.762265\pi\) | ||
0.733822 | − | 0.679342i | \(-0.237735\pi\) | |||||||
\(684\) | 4788.36 | + | 4795.69i | 0.267672 | + | 0.268081i | ||||
\(685\) | −10824.3 | + | 14898.4i | −0.603759 | + | 0.831003i | ||||
\(686\) | −17404.4 | − | 4185.46i | −0.968664 | − | 0.232947i | ||||
\(687\) | 3694.01i | 0.205146i | ||||||||
\(688\) | 19946.2 | − | 6447.23i | 1.10529 | − | 0.357265i | ||||
\(689\) | −1537.00 | + | 4730.41i | −0.0849857 | + | 0.261559i | ||||
\(690\) | −7675.60 | − | 18550.6i | −0.423486 | − | 1.02349i | ||||
\(691\) | 28351.2 | − | 9211.87i | 1.56083 | − | 0.507143i | 0.603799 | − | 0.797137i | \(-0.293653\pi\) |
0.957029 | + | 0.289993i | \(0.0936531\pi\) | |||||||
\(692\) | −19022.5 | + | 18993.4i | −1.04498 | + | 1.04338i | ||||
\(693\) | −3992.71 | − | 1297.31i | −0.218861 | − | 0.0711122i | ||||
\(694\) | −18465.6 | + | 15758.9i | −1.01001 | + | 0.861959i | ||||
\(695\) | −12030.3 | − | 8740.51i | −0.656596 | − | 0.477045i | ||||
\(696\) | −6156.15 | + | 3762.79i | −0.335270 | + | 0.204926i | ||||
\(697\) | 14665.7 | − | 20185.6i | 0.796990 | − | 1.09696i | ||||
\(698\) | −3838.18 | − | 2354.06i | −0.208134 | − | 0.127654i | ||||
\(699\) | 5923.59 | + | 18230.9i | 0.320530 | + | 0.986491i | ||||
\(700\) | −463.467 | + | 907.889i | −0.0250249 | + | 0.0490214i | ||||
\(701\) | 14890.0 | − | 10818.2i | 0.802263 | − | 0.582878i | −0.109314 | − | 0.994007i | \(-0.534865\pi\) |
0.911577 | + | 0.411129i | \(0.134865\pi\) | |||||||
\(702\) | −24058.1 | − | 5785.56i | −1.29347 | − | 0.311057i | ||||
\(703\) | 16526.6 | − | 12007.3i | 0.886647 | − | 0.644187i | ||||
\(704\) | −19632.0 | − | 19722.2i | −1.05100 | − | 1.05583i | ||||
\(705\) | 2842.78 | − | 923.676i | 0.151866 | − | 0.0493442i | ||||
\(706\) | −33304.8 | − | 8009.24i | −1.77541 | − | 0.426957i | ||||
\(707\) | 16525.4i | 0.879071i | ||||||||
\(708\) | 3873.46 | + | 24577.6i | 0.205612 | + | 1.30464i | ||||
\(709\) | 7642.02 | + | 2483.04i | 0.404798 | + | 0.131527i | 0.504337 | − | 0.863507i | \(-0.331737\pi\) |
−0.0995391 | + | 0.995034i | \(0.531737\pi\) | |||||||
\(710\) | −15486.7 | + | 25250.3i | −0.818597 | + | 1.33468i | ||||
\(711\) | −1094.97 | + | 795.545i | −0.0577563 | + | 0.0419624i | ||||
\(712\) | 6035.62 | + | 25267.7i | 0.317689 | + | 1.32998i | ||||
\(713\) | −21693.5 | + | 8646.52i | −1.13945 | + | 0.454158i | ||||
\(714\) | 10125.4 | − | 792.990i | 0.530717 | − | 0.0415643i | ||||
\(715\) | 21471.9 | + | 29553.6i | 1.12308 | + | 1.54579i | ||||
\(716\) | −21361.1 | − | 10904.6i | −1.11495 | − | 0.569167i | ||||
\(717\) | 6545.12 | − | 20143.8i | 0.340909 | − | 1.04921i | ||||
\(718\) | −693.079 | − | 8849.63i | −0.0360243 | − | 0.459979i | ||||
\(719\) | −8230.01 | −0.426881 | −0.213441 | − | 0.976956i | \(-0.568467\pi\) | ||||
−0.213441 | + | 0.976956i | \(0.568467\pi\) | |||||||
\(720\) | −7.75788 | + | 5076.01i | −0.000401554 | + | 0.262739i | ||||
\(721\) | −838.554 | − | 2580.80i | −0.0433140 | − | 0.133307i | ||||
\(722\) | −9386.08 | − | 22684.5i | −0.483814 | − | 1.16929i | ||||
\(723\) | 1977.30 | + | 2721.52i | 0.101710 | + | 0.139992i | ||||
\(724\) | 22647.3 | + | 3604.73i | 1.16254 | + | 0.185040i | ||||
\(725\) | −467.429 | − | 643.361i | −0.0239446 | − | 0.0329570i | ||||
\(726\) | −17589.5 | − | 10788.1i | −0.899185 | − | 0.551494i | ||||
\(727\) | 6361.52 | − | 2066.98i | 0.324533 | − | 0.105447i | −0.142219 | − | 0.989835i | \(-0.545424\pi\) |
0.466753 | + | 0.884388i | \(0.345424\pi\) | |||||||
\(728\) | −13677.3 | − | 5683.72i | −0.696313 | − | 0.289358i | ||||
\(729\) | −17660.4 | − | 12831.0i | −0.897240 | − | 0.651883i | ||||
\(730\) | −10606.2 | + | 4388.50i | −0.537746 | + | 0.222501i | ||||
\(731\) | 13531.1 | − | 18623.9i | 0.684630 | − | 0.942313i | ||||
\(732\) | 15283.9 | + | 15307.3i | 0.771734 | + | 0.772915i | ||||
\(733\) | 2033.88 | − | 6259.65i | 0.102487 | − | 0.315424i | −0.886645 | − | 0.462450i | \(-0.846970\pi\) |
0.989133 | + | 0.147027i | \(0.0469703\pi\) | |||||||
\(734\) | −3982.31 | + | 3398.59i | −0.200259 | + | 0.170905i | ||||
\(735\) | 3466.04 | + | 10667.4i | 0.173941 | + | 0.535336i | ||||
\(736\) | −15870.8 | − | 18654.4i | −0.794844 | − | 0.934251i | ||||
\(737\) | −27980.4 | − | 9091.37i | −1.39847 | − | 0.454389i | ||||
\(738\) | −6802.74 | + | 532.772i | −0.339312 | + | 0.0265740i | ||||
\(739\) | −25135.6 | −1.25119 | −0.625595 | − | 0.780148i | \(-0.715144\pi\) | ||||
−0.625595 | + | 0.780148i | \(0.715144\pi\) | |||||||
\(740\) | 15110.6 | + | 2405.12i | 0.750645 | + | 0.119479i | ||||
\(741\) | 26105.1 | + | 18966.5i | 1.29419 | + | 0.940286i | ||||
\(742\) | −2112.03 | + | 1802.45i | −0.104495 | + | 0.0891780i | ||||
\(743\) | −33014.8 | −1.63014 | −0.815072 | − | 0.579359i | \(-0.803303\pi\) | ||||
−0.815072 | + | 0.579359i | \(0.803303\pi\) | |||||||
\(744\) | −17553.1 | − | 255.698i | −0.864955 | − | 0.0125999i | ||||
\(745\) | 13993.3 | 0.688154 | ||||||||
\(746\) | 16788.4 | − | 14327.6i | 0.823951 | − | 0.703176i | ||||
\(747\) | −3811.39 | − | 2769.14i | −0.186682 | − | 0.135633i | ||||
\(748\) | −30180.0 | − | 4803.68i | −1.47525 | − | 0.234813i | ||||
\(749\) | 6009.14 | 0.293150 | ||||||||
\(750\) | −16832.4 | + | 1318.27i | −0.819511 | + | 0.0641818i | ||||
\(751\) | 12073.2 | + | 3922.80i | 0.586625 | + | 0.190606i | 0.587266 | − | 0.809394i | \(-0.300204\pi\) |
−0.000641154 | 1.00000i | \(0.500204\pi\) | ||||||||
\(752\) | 2953.45 | − | 2138.92i | 0.143220 | − | 0.103721i | ||||
\(753\) | −1461.23 | − | 4497.19i | −0.0707172 | − | 0.217645i | ||||
\(754\) | 8789.32 | − | 7500.99i | 0.424520 | − | 0.362294i | ||||
\(755\) | 1762.12 | − | 5423.24i | 0.0849404 | − | 0.261420i | ||||
\(756\) | −9759.85 | − | 9774.78i | −0.469527 | − | 0.470245i | ||||
\(757\) | 12854.0 | − | 17692.0i | 0.617155 | − | 0.849440i | −0.379987 | − | 0.924992i | \(-0.624072\pi\) |
0.997142 | + | 0.0755513i | \(0.0240717\pi\) | |||||||
\(758\) | 14561.1 | − | 6024.88i | 0.697734 | − | 0.288698i | ||||
\(759\) | −26741.7 | − | 19428.9i | −1.27887 | − | 0.929152i | ||||
\(760\) | 12632.4 | − | 30398.7i | 0.602928 | − | 1.45089i | ||||
\(761\) | −25332.0 | + | 8230.86i | −1.20668 | + | 0.392074i | −0.842215 | − | 0.539142i | \(-0.818749\pi\) |
−0.364466 | + | 0.931217i | \(0.618749\pi\) | |||||||
\(762\) | 22129.0 | + | 13572.3i | 1.05203 | + | 0.645239i | ||||
\(763\) | 2232.89 | + | 3073.31i | 0.105945 | + | 0.145821i | ||||
\(764\) | 29825.7 | + | 4747.29i | 1.41238 | + | 0.224805i | ||||
\(765\) | 3276.55 | + | 4509.78i | 0.154855 | + | 0.213139i | ||||
\(766\) | 4181.77 | + | 10106.6i | 0.197250 | + | 0.476718i | ||||
\(767\) | −12313.4 | − | 37896.9i | −0.579677 | − | 1.78406i | ||||
\(768\) | −5635.81 | − | 17527.4i | −0.264798 | − | 0.823521i | ||||
\(769\) | −10255.9 | −0.480931 | −0.240466 | − | 0.970658i | \(-0.577300\pi\) | ||||
−0.240466 | + | 0.970658i | \(0.577300\pi\) | |||||||
\(770\) | 1592.22 | + | 20330.4i | 0.0745190 | + | 0.951501i | ||||
\(771\) | −687.369 | + | 2115.50i | −0.0321076 | + | 0.0988172i | ||||
\(772\) | −12596.5 | − | 6430.35i | −0.587250 | − | 0.299784i | ||||
\(773\) | −3625.96 | − | 4990.71i | −0.168715 | − | 0.232216i | 0.716284 | − | 0.697809i | \(-0.245841\pi\) |
−0.884999 | + | 0.465592i | \(0.845841\pi\) | |||||||
\(774\) | −6276.45 | + | 491.554i | −0.291476 | + | 0.0228276i | ||||
\(775\) | −125.911 | − | 1930.79i | −0.00583595 | − | 0.0894917i | ||||
\(776\) | −2315.77 | + | 553.161i | −0.107128 | + | 0.0255893i | ||||
\(777\) | −6773.54 | + | 4921.27i | −0.312741 | + | 0.227219i | ||||
\(778\) | 10482.1 | − | 17090.5i | 0.483035 | − | 0.787565i | ||||
\(779\) | 42086.3 | + | 13674.7i | 1.93568 | + | 0.628942i | ||||
\(780\) | 3762.61 | + | 23874.2i | 0.172722 | + | 1.09594i | ||||
\(781\) | 48770.7i | 2.23451i | ||||||||
\(782\) | −26151.4 | − | 6288.95i | −1.19587 | − | 0.287586i | ||||
\(783\) | 10248.8 | − | 3330.03i | 0.467767 | − | 0.151987i | ||||
\(784\) | 8026.18 | + | 11082.7i | 0.365624 | + | 0.504859i | ||||
\(785\) | 34198.0 | − | 24846.3i | 1.55488 | − | 1.12968i | ||||
\(786\) | −2673.46 | − | 642.922i | −0.121322 | − | 0.0291759i | ||||
\(787\) | −27237.7 | + | 19789.4i | −1.23370 | + | 0.896333i | −0.997162 | − | 0.0752898i | \(-0.976012\pi\) |
−0.236535 | + | 0.971623i | \(0.576012\pi\) | |||||||
\(788\) | 6840.05 | − | 13399.0i | 0.309222 | − | 0.605737i | ||||
\(789\) | −5393.48 | − | 16599.4i | −0.243362 | − | 0.748992i | ||||
\(790\) | 5604.31 | + | 3437.27i | 0.252395 | + | 0.154801i | ||||
\(791\) | 7097.72 | − | 9769.18i | 0.319047 | − | 0.439130i | ||||
\(792\) | 4358.64 | + | 7131.00i | 0.195553 | + | 0.319936i | ||||
\(793\) | −28026.5 | − | 20362.4i | −1.25504 | − | 0.911843i | ||||
\(794\) | −13997.3 | + | 11945.6i | −0.625624 | + | 0.533920i | ||||
\(795\) | 4309.07 | + | 1400.10i | 0.192235 | + | 0.0624611i | ||||
\(796\) | −12008.1 | + | 11989.7i | −0.534692 | + | 0.533876i | ||||
\(797\) | 23185.2 | − | 7533.34i | 1.03044 | − | 0.334811i | 0.255478 | − | 0.966815i | \(-0.417767\pi\) |
0.774965 | + | 0.632004i | \(0.217767\pi\) | |||||||
\(798\) | 6886.97 | + | 16644.6i | 0.305509 | + | 0.738361i | ||||
\(799\) | 1237.51 | − | 3808.66i | 0.0547934 | − | 0.168637i | ||||
\(800\) | 1876.28 | − | 772.984i | 0.0829206 | − | 0.0341614i | ||||
\(801\) | − | 7802.23i | − | 0.344168i | ||||||
\(802\) | 25169.0 | + | 6052.71i | 1.10816 | + | 0.266495i | ||||
\(803\) | −11108.4 | + | 15289.4i | −0.488179 | + | 0.671921i | ||||
\(804\) | −13753.2 | − | 13774.3i | −0.603282 | − | 0.604204i | ||||
\(805\) | 17948.3i | 0.785834i | ||||||||
\(806\) | 27826.3 | − | 4014.40i | 1.21605 | − | 0.175436i | ||||
\(807\) | − | 2320.93i | − | 0.101240i | ||||||
\(808\) | 21394.3 | − | 24991.4i | 0.931495 | − | 1.08811i | ||||
\(809\) | −21987.2 | + | 30262.8i | −0.955538 | + | 1.31518i | −0.00651453 | + | 0.999979i | \(0.502074\pi\) |
−0.949023 | + | 0.315206i | \(0.897926\pi\) | |||||||
\(810\) | −3854.03 | + | 16026.2i | −0.167181 | + | 0.695190i | ||||
\(811\) | 3090.44i | 0.133810i | 0.997759 | + | 0.0669050i | \(0.0213124\pi\) | ||||
−0.997759 | + | 0.0669050i | \(0.978688\pi\) | |||||||
\(812\) | 6371.79 | − | 1004.20i | 0.275377 | − | 0.0433997i | ||||
\(813\) | −8597.27 | + | 26459.7i | −0.370873 | + | 1.14143i | ||||
\(814\) | 23278.5 | − | 9631.87i | 1.00235 | − | 0.414738i | ||||
\(815\) | 1818.46 | − | 590.854i | 0.0781570 | − | 0.0253947i | ||||
\(816\) | −16339.2 | − | 11909.3i | −0.700964 | − | 0.510919i | ||||
\(817\) | 38830.3 | + | 12616.7i | 1.66279 | + | 0.540274i | ||||
\(818\) | −15657.4 | − | 18346.6i | −0.669251 | − | 0.784199i | ||||
\(819\) | 3598.77 | + | 2614.66i | 0.153542 | + | 0.111555i | ||||
\(820\) | 15025.1 | + | 29544.3i | 0.639878 | + | 1.25821i | ||||
\(821\) | −11099.1 | + | 15276.6i | −0.471817 | + | 0.649401i | −0.976907 | − | 0.213666i | \(-0.931460\pi\) |
0.505089 | + | 0.863067i | \(0.331460\pi\) | |||||||
\(822\) | −10488.1 | + | 17100.4i | −0.445031 | + | 0.725602i | ||||
\(823\) | −4508.81 | − | 13876.7i | −0.190969 | − | 0.587741i | 0.809031 | − | 0.587766i | \(-0.199992\pi\) |
−1.00000 | 2.43179e-5i | \(0.999992\pi\) | ||||||||
\(824\) | −2073.03 | + | 4988.56i | −0.0876426 | + | 0.210904i | ||||
\(825\) | 2215.64 | − | 1609.76i | 0.0935016 | − | 0.0679329i | ||||
\(826\) | 5201.08 | − | 21627.7i | 0.219091 | − | 0.911044i | ||||
\(827\) | −14812.6 | + | 10762.0i | −0.622836 | + | 0.452517i | −0.853911 | − | 0.520419i | \(-0.825776\pi\) |
0.231075 | + | 0.972936i | \(0.425776\pi\) | |||||||
\(828\) | 3334.46 | + | 6556.63i | 0.139952 | + | 0.275192i | ||||
\(829\) | −21520.2 | + | 6992.33i | −0.901600 | + | 0.292948i | −0.722897 | − | 0.690955i | \(-0.757190\pi\) |
−0.178703 | + | 0.983903i | \(0.557190\pi\) | |||||||
\(830\) | −5350.74 | + | 22250.0i | −0.223767 | + | 0.930492i | ||||
\(831\) | − | 20546.4i | − | 0.857697i | ||||||
\(832\) | 13325.9 | + | 26302.5i | 0.555281 | + | 1.09601i | ||||
\(833\) | 14291.8 | + | 4643.68i | 0.594455 | + | 0.193150i | ||||
\(834\) | −13808.4 | − | 8469.06i | −0.573316 | − | 0.351630i | ||||
\(835\) | −481.550 | + | 349.867i | −0.0199578 | + | 0.0145002i | ||||
\(836\) | −8437.91 | − | 53539.6i | −0.349080 | − | 2.21496i | ||||
\(837\) | 25410.7 | + | 6462.42i | 1.04937 | + | 0.266875i | ||||
\(838\) | −2862.01 | − | 36543.8i | −0.117979 | − | 1.50643i | ||||
\(839\) | −15113.9 | − | 20802.5i | −0.621920 | − | 0.855999i | 0.375571 | − | 0.926794i | \(-0.377447\pi\) |
−0.997491 | + | 0.0707943i | \(0.977447\pi\) | |||||||
\(840\) | −5177.47 | + | 12459.1i | −0.212666 | + | 0.511762i | ||||
\(841\) | 5981.56 | − | 18409.3i | 0.245256 | − | 0.754821i | ||||
\(842\) | 42342.7 | − | 3316.17i | 1.73305 | − | 0.135728i | ||||
\(843\) | 2394.25 | 0.0978203 | ||||||||
\(844\) | −13014.5 | − | 2071.48i | −0.530778 | − | 0.0844827i | ||||
\(845\) | −4037.54 | − | 12426.3i | −0.164374 | − | 0.505890i | ||||
\(846\) | −1011.99 | + | 418.729i | −0.0411266 | + | 0.0170168i | ||||
\(847\) | 10843.2 | + | 14924.4i | 0.439880 | + | 0.605443i | ||||
\(848\) | 5527.53 | + | 8.44795i | 0.223840 | + | 0.000342104i | ||||
\(849\) | 15011.8 | + | 20662.0i | 0.606836 | + | 0.835238i | ||||
\(850\) | 1165.12 | − | 1899.67i | 0.0470156 | − | 0.0766567i | ||||
\(851\) | 21087.7 | − | 6851.81i | 0.849444 | − | 0.276001i | ||||
\(852\) | −14671.0 | + | 28739.2i | −0.589931 | + | 1.15562i | ||||
\(853\) | −22907.3 | − | 16643.1i | −0.919496 | − | 0.668053i | 0.0239025 | − | 0.999714i | \(-0.492391\pi\) |
−0.943399 | + | 0.331661i | \(0.892391\pi\) | |||||||
\(854\) | −7393.86 | − | 17869.7i | −0.296268 | − | 0.716027i | ||||
\(855\) | −5811.23 | + | 7998.47i | −0.232444 | + | 0.319932i | ||||
\(856\) | −9087.62 | − | 7779.59i | −0.362860 | − | 0.310632i | ||||
\(857\) | 12576.4 | − | 38706.1i | 0.501284 | − | 1.54279i | −0.305645 | − | 0.952146i | \(-0.598872\pi\) |
0.806929 | − | 0.590648i | \(-0.201128\pi\) | |||||||
\(858\) | 25832.4 | + | 30269.2i | 1.02786 | + | 1.20440i | ||||
\(859\) | 6772.41 | + | 20843.3i | 0.269001 | + | 0.827899i | 0.990745 | + | 0.135739i | \(0.0433409\pi\) |
−0.721744 | + | 0.692160i | \(0.756659\pi\) | |||||||
\(860\) | 13862.7 | + | 27258.6i | 0.549668 | + | 1.08083i | ||||
\(861\) | −17249.4 | − | 5604.65i | −0.682760 | − | 0.221842i | ||||
\(862\) | −1362.81 | − | 17401.1i | −0.0538485 | − | 0.687568i | ||||
\(863\) | −32143.9 | −1.26789 | −0.633946 | − | 0.773377i | \(-0.718566\pi\) | ||||
−0.633946 | + | 0.773377i | \(0.718566\pi\) | |||||||
\(864\) | 2105.13 | + | 27417.8i | 0.0828911 | + | 1.07960i | ||||
\(865\) | −31726.6 | − | 23050.7i | −1.24709 | − | 0.906067i | ||||
\(866\) | −17187.2 | − | 20139.3i | −0.674418 | − | 0.790254i | ||||
\(867\) | −120.488 | −0.00471970 | ||||||||
\(868\) | 14413.2 | + | 6211.11i | 0.563615 | + | 0.242879i | ||||
\(869\) | 10824.7 | 0.422557 | ||||||||
\(870\) | −6832.87 | − | 8006.46i | −0.266271 | − | 0.312005i | ||||
\(871\) | 25219.6 | + | 18323.1i | 0.981096 | + | 0.712808i | ||||
\(872\) | 601.991 | − | 7538.54i | 0.0233784 | − | 0.292760i | ||||
\(873\) | 715.069 | 0.0277221 | ||||||||
\(874\) | −3724.63 | − | 47558.3i | −0.144151 | − | 1.84060i | ||||
\(875\) | 14355.9 | + | 4664.52i | 0.554650 | + | 0.180217i | ||||
\(876\) | −11145.2 | + | 5668.05i | −0.429865 | + | 0.218614i | ||||
\(877\) | −9048.22 | − | 27847.6i | −0.348389 | − | 1.07223i | −0.959745 | − | 0.280874i | \(-0.909376\pi\) |
0.611356 | − | 0.791356i | \(-0.290624\pi\) | |||||||
\(878\) | 4840.40 | + | 5671.76i | 0.186054 | + | 0.218010i | ||||
\(879\) | −1172.61 | + | 3608.92i | −0.0449956 | + | 0.138482i | ||||
\(880\) | 23912.4 | − | 32807.0i | 0.916006 | − | 1.25673i | ||||
\(881\) | −11530.0 | + | 15869.7i | −0.440925 | + | 0.606881i | −0.970417 | − | 0.241433i | \(-0.922382\pi\) |
0.529492 | + | 0.848315i | \(0.322382\pi\) | |||||||
\(882\) | −1571.26 | − | 3797.45i | −0.0599852 | − | 0.144974i | ||||
\(883\) | −8174.76 | − | 5939.31i | −0.311554 | − | 0.226357i | 0.421009 | − | 0.907057i | \(-0.361676\pi\) |
−0.732563 | + | 0.680699i | \(0.761676\pi\) | |||||||
\(884\) | 28840.2 | + | 14722.6i | 1.09728 | + | 0.560151i | ||||
\(885\) | −34521.4 | + | 11216.7i | −1.31121 | + | 0.426039i | ||||
\(886\) | −1608.81 | + | 2623.08i | −0.0610033 | + | 0.0994630i | ||||
\(887\) | −19774.9 | − | 27217.8i | −0.748564 | − | 1.03031i | −0.998080 | − | 0.0619390i | \(-0.980272\pi\) |
0.249516 | − | 0.968371i | \(-0.419728\pi\) | |||||||
\(888\) | 16614.8 | + | 1326.78i | 0.627880 | + | 0.0501395i | ||||
\(889\) | −13641.6 | − | 18776.1i | −0.514652 | − | 0.708358i | ||||
\(890\) | −35019.9 | + | 14490.0i | −1.31895 | + | 0.545738i | ||||
\(891\) | 8386.46 | + | 25810.9i | 0.315328 | + | 0.970478i | ||||
\(892\) | 3565.70 | − | 22402.1i | 0.133844 | − | 0.840896i | ||||
\(893\) | 7102.60 | 0.266158 | ||||||||
\(894\) | 15196.9 | − | 1190.18i | 0.568522 | − | 0.0445251i | ||||
\(895\) | 10812.1 | − | 33276.1i | 0.403807 | − | 1.24279i | ||||
\(896\) | −1335.33 | + | 16405.8i | −0.0497881 | + | 0.611696i | ||||
\(897\) | 20586.6 | + | 28335.0i | 0.766293 | + | 1.05471i | ||||
\(898\) | 2192.86 | + | 27999.8i | 0.0814887 | + | 1.04049i | ||||
\(899\) | −9416.31 | + | 7826.21i | −0.349334 | + | 0.290344i | ||||
\(900\) | −602.026 | + | 94.8800i | −0.0222972 | + | 0.00351407i | ||||
\(901\) | 4910.93 | − | 3568.00i | 0.181584 | − | 0.131928i | ||||
\(902\) | 46520.5 | + | 28532.2i | 1.71725 | + | 1.05324i | ||||
\(903\) | −15914.9 | − | 5171.05i | −0.586505 | − | 0.190567i | ||||
\(904\) | −23381.3 | + | 5585.02i | −0.860234 | + | 0.205481i | ||||
\(905\) | 33455.3i | 1.22883i | ||||||||
\(906\) | 1452.41 | − | 6039.56i | 0.0532595 | − | 0.221469i | ||||
\(907\) | 4261.01 | − | 1384.48i | 0.155992 | − | 0.0506847i | −0.229980 | − | 0.973195i | \(-0.573866\pi\) |
0.385972 | + | 0.922511i | \(0.373866\pi\) | |||||||
\(908\) | −35677.2 | + | 18144.1i | −1.30395 | + | 0.663143i | ||||
\(909\) | −7993.40 | + | 5807.55i | −0.291666 | + | 0.211908i | ||||
\(910\) | 5052.24 | − | 21008.7i | 0.184044 | − | 0.765310i | ||||
\(911\) | −9527.58 | + | 6922.19i | −0.346501 | + | 0.251748i | −0.747400 | − | 0.664375i | \(-0.768698\pi\) |
0.400898 | + | 0.916122i | \(0.368698\pi\) | |||||||
\(912\) | 11133.4 | − | 34087.7i | 0.404236 | − | 1.23767i | ||||
\(913\) | 11643.3 | + | 35834.5i | 0.422057 | + | 1.29896i | ||||
\(914\) | −20292.0 | + | 33085.1i | −0.734353 | + | 1.19733i | ||||
\(915\) | −18548.8 | + | 25530.2i | −0.670168 | + | 0.922407i | ||||
\(916\) | −5860.26 | + | 2980.31i | −0.211385 | + | 0.107503i | ||||
\(917\) | 1988.80 | + | 1444.95i | 0.0716204 | + | 0.0520353i | ||||
\(918\) | 19603.5 | + | 22970.5i | 0.704806 | + | 0.825860i | ||||
\(919\) | 11734.3 | + | 3812.72i | 0.421197 | + | 0.136855i | 0.511944 | − | 0.859019i | \(-0.328926\pi\) |
−0.0907472 | + | 0.995874i | \(0.528926\pi\) | |||||||
\(920\) | 23236.4 | − | 27143.3i | 0.832698 | − | 0.972704i | ||||
\(921\) | 23111.8 | − | 7509.48i | 0.826884 | − | 0.268671i | ||||
\(922\) | −19875.6 | + | 8223.85i | −0.709944 | + | 0.293751i | ||||
\(923\) | 15968.9 | − | 49147.3i | 0.569473 | − | 1.75266i | ||||
\(924\) | 3458.33 | + | 21943.6i | 0.123129 | + | 0.781266i | ||||
\(925\) | 1837.11i | 0.0653013i | ||||||||
\(926\) | 2441.68 | − | 10153.2i | 0.0866506 | − | 0.360319i | ||||
\(927\) | 953.649 | − | 1312.59i | 0.0337885 | − | 0.0465059i | ||||
\(928\) | −10936.1 | − | 6730.44i | −0.386849 | − | 0.238079i | ||||
\(929\) | − | 12049.1i | − | 0.425532i | −0.977103 | − | 0.212766i | \(-0.931753\pi\) | ||
0.977103 | − | 0.212766i | \(-0.0682471\pi\) | |||||||
\(930\) | −3656.83 | − | 25347.8i | −0.128938 | − | 0.893750i | ||||
\(931\) | 26652.1i | 0.938224i | ||||||||
\(932\) | −24142.8 | + | 24106.0i | −0.848524 | + | 0.847228i | ||||
\(933\) | −12645.2 | + | 17404.7i | −0.443715 | + | 0.610721i | ||||
\(934\) | 35854.1 | + | 8622.29i | 1.25608 | + | 0.302066i | ||||
\(935\) | − | 44582.7i | − | 1.55937i | ||||||
\(936\) | −2057.41 | − | 8613.21i | −0.0718467 | − | 0.300781i | ||||
\(937\) | −755.845 | + | 2326.25i | −0.0263526 | + | 0.0811050i | −0.963368 | − | 0.268183i | \(-0.913577\pi\) |
0.937015 | + | 0.349288i | \(0.113577\pi\) | |||||||
\(938\) | 6653.36 | + | 16080.0i | 0.231599 | + | 0.559734i | ||||
\(939\) | −23617.8 | + | 7673.89i | −0.820807 | + | 0.266696i | ||||
\(940\) | 3758.88 | + | 3764.63i | 0.130427 | + | 0.130626i | ||||
\(941\) | 85.4970 | + | 27.7797i | 0.00296187 | + | 0.000962371i | 0.310498 | − | 0.950574i | \(-0.399504\pi\) |
−0.307536 | + | 0.951537i | \(0.599504\pi\) | |||||||
\(942\) | 35026.0 | − | 29891.9i | 1.21148 | − | 1.03390i | ||||
\(943\) | 38858.7 | + | 28232.5i | 1.34190 | + | 0.974950i | ||||
\(944\) | −35865.3 | + | 25974.0i | −1.23657 | + | 0.895533i | ||||
\(945\) | 11844.7 | − | 16302.8i | 0.407733 | − | 0.561197i | ||||
\(946\) | 42921.4 | + | 26324.9i | 1.47515 | + | 0.904752i | ||||
\(947\) | 3108.26 | + | 9566.24i | 0.106658 | + | 0.328259i | 0.990116 | − | 0.140251i | \(-0.0447910\pi\) |
−0.883458 | + | 0.468510i | \(0.844791\pi\) | |||||||
\(948\) | 6378.68 | + | 3256.24i | 0.218534 | + | 0.111559i | ||||
\(949\) | 16200.4 | − | 11770.3i | 0.554149 | − | 0.402613i | ||||
\(950\) | 3842.88 | + | 924.148i | 0.131242 | + | 0.0315614i | ||||
\(951\) | −3457.66 | + | 2512.13i | −0.117899 | + | 0.0856588i | ||||
\(952\) | 9427.11 | + | 15423.3i | 0.320939 | + | 0.525076i | ||||
\(953\) | 14146.0 | − | 4596.33i | 0.480834 | − | 0.156233i | −0.0585634 | − | 0.998284i | \(-0.518652\pi\) |
0.539398 | + | 0.842051i | \(0.318652\pi\) | |||||||
\(954\) | −1614.08 | − | 388.160i | −0.0547777 | − | 0.0131731i | ||||
\(955\) | 44059.4i | 1.49291i | ||||||||
\(956\) | 37237.1 | − | 5868.61i | 1.25976 | − | 0.198540i | ||||
\(957\) | −16482.3 | − | 5355.41i | −0.556735 | − | 0.180894i | ||||
\(958\) | 22476.7 | − | 36647.2i | 0.758026 | − | 1.23593i | ||||
\(959\) | 14509.4 | − | 10541.7i | 0.488565 | − | 0.354963i | ||||
\(960\) | 23959.8 | − | 12139.0i | 0.805519 | − | 0.408109i | ||||
\(961\) | −29538.7 | + | 3869.02i | −0.991531 | + | 0.129872i | ||||
\(962\) | −26612.0 | + | 2084.18i | −0.891899 | + | 0.0698511i | ||||
\(963\) | 2111.80 | + | 2906.64i | 0.0706664 | + | 0.0972639i | ||||
\(964\) | −2722.20 | + | 5332.54i | −0.0909503 | + | 0.178163i | ||||
\(965\) | 6375.80 | − | 19622.7i | 0.212688 | − | 0.654587i | ||||
\(966\) | 1526.57 | + | 19492.1i | 0.0508452 | + | 0.649221i | ||||
\(967\) | −38695.7 | −1.28684 | −0.643418 | − | 0.765515i | \(-0.722484\pi\) | ||||
−0.643418 | + | 0.765515i | \(0.722484\pi\) | |||||||
\(968\) | 2923.35 | − | 36608.2i | 0.0970663 | − | 1.21553i | ||||
\(969\) | −12169.3 | − | 37453.2i | −0.403440 | − | 1.24166i | ||||
\(970\) | −1328.00 | − | 3209.55i | −0.0439583 | − | 0.106240i | ||||
\(971\) | −21202.2 | − | 29182.3i | −0.700733 | − | 0.964476i | −0.999947 | − | 0.0102898i | \(-0.996725\pi\) |
0.299214 | − | 0.954186i | \(-0.403275\pi\) | |||||||
\(972\) | 2335.31 | − | 14672.0i | 0.0770630 | − | 0.484162i | ||||
\(973\) | 8512.33 | + | 11716.2i | 0.280465 | + | 0.386027i | ||||
\(974\) | 46071.8 | + | 28257.0i | 1.51564 | + | 0.929583i | ||||
\(975\) | −2759.83 | + | 896.725i | −0.0906517 | + | 0.0294545i | ||||
\(976\) | −11952.8 | + | 36596.6i | −0.392008 | + | 1.20023i | ||||
\(977\) | 3162.00 | + | 2297.33i | 0.103543 | + | 0.0752284i | 0.638352 | − | 0.769745i | \(-0.279616\pi\) |
−0.534809 | + | 0.844973i | \(0.679616\pi\) | |||||||
\(978\) | 1924.61 | − | 796.339i | 0.0629267 | − | 0.0260369i | ||||
\(979\) | −36678.0 | + | 50483.0i | −1.19738 | + | 1.64805i | ||||
\(980\) | −14126.6 | + | 14105.0i | −0.460466 | + | 0.459763i | ||||
\(981\) | −701.864 | + | 2160.12i | −0.0228428 | + | 0.0703029i | ||||
\(982\) | −16332.4 | + | 13938.4i | −0.530742 | + | 0.452946i | ||||
\(983\) | 2708.35 | + | 8335.46i | 0.0878770 | + | 0.270458i | 0.985332 | − | 0.170649i | \(-0.0545863\pi\) |
−0.897455 | + | 0.441106i | \(0.854586\pi\) | |||||||
\(984\) | 18830.3 | + | 30807.4i | 0.610047 | + | 0.998073i | ||||
\(985\) | 20872.9 | + | 6782.02i | 0.675194 | + | 0.219384i | ||||
\(986\) | −14059.0 | + | 1101.06i | −0.454087 | + | 0.0355628i | ||||
\(987\) | −2911.05 | −0.0938801 | ||||||||
\(988\) | −9027.34 | + | 56715.8i | −0.290686 | + | 1.82629i | ||||
\(989\) | 35852.5 | + | 26048.3i | 1.15272 | + | 0.837501i | ||||
\(990\) | −9274.32 | + | 7914.89i | −0.297734 | + | 0.254093i | ||||
\(991\) | −26395.8 | −0.846106 | −0.423053 | − | 0.906105i | \(-0.639042\pi\) | ||||
−0.423053 | + | 0.906105i | \(0.639042\pi\) | |||||||
\(992\) | −13756.1 | − | 28052.8i | −0.440278 | − | 0.897861i | ||||
\(993\) | −33125.4 | −1.05861 | ||||||||
\(994\) | 21943.3 | − | 18726.8i | 0.700199 | − | 0.597564i | ||||
\(995\) | −20027.6 | − | 14550.9i | −0.638109 | − | 0.463613i | ||||
\(996\) | −3918.52 | + | 24618.8i | −0.124662 | + | 0.783209i | ||||
\(997\) | −44745.8 | −1.42138 | −0.710689 | − | 0.703507i | \(-0.751616\pi\) | ||||
−0.710689 | + | 0.703507i | \(0.751616\pi\) | |||||||
\(998\) | 35710.8 | − | 2796.77i | 1.13267 | − | 0.0887076i | ||||
\(999\) | −23676.1 | − | 7692.83i | −0.749828 | − | 0.243634i |
(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 | 124.4.j.a.15.11 | yes | 184 | |
4.3 | odd | 2 | inner | 124.4.j.a.15.9 | ✓ | 184 | |
31.29 | odd | 10 | inner | 124.4.j.a.91.9 | yes | 184 | |
124.91 | even | 10 | inner | 124.4.j.a.91.11 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.4.j.a.15.9 | ✓ | 184 | 4.3 | odd | 2 | inner | |
124.4.j.a.15.11 | yes | 184 | 1.1 | even | 1 | trivial | |
124.4.j.a.91.9 | yes | 184 | 31.29 | odd | 10 | inner | |
124.4.j.a.91.11 | yes | 184 | 124.91 | even | 10 | inner |