Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), 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: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.17 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.17 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.14588 | + | 3.83236i | −0.286471 | + | 0.958089i | ||||
\(3\) | 9.44677 | − | 1.66572i | 1.04964 | − | 0.185080i | 0.377885 | − | 0.925853i | \(-0.376651\pi\) |
0.671756 | + | 0.740772i | \(0.265540\pi\) | |||||||
\(4\) | −13.3739 | − | 8.78286i | −0.835869 | − | 0.548929i | ||||
\(5\) | −12.8360 | + | 10.7707i | −0.513441 | + | 0.430828i | −0.862338 | − | 0.506333i | \(-0.831001\pi\) |
0.348897 | + | 0.937161i | \(0.386556\pi\) | |||||||
\(6\) | −4.44126 | + | 38.1121i | −0.123368 | + | 1.05867i | ||||
\(7\) | −66.0612 | − | 38.1405i | −1.34819 | − | 0.778377i | −0.360196 | − | 0.932877i | \(-0.617290\pi\) |
−0.987993 | + | 0.154500i | \(0.950623\pi\) | |||||||
\(8\) | 48.9840 | − | 41.1894i | 0.765375 | − | 0.643585i | ||||
\(9\) | 10.3517 | − | 3.76773i | 0.127799 | − | 0.0465151i | ||||
\(10\) | −26.5686 | − | 61.5342i | −0.265686 | − | 0.615342i | ||||
\(11\) | −169.242 | + | 97.7116i | −1.39869 | + | 0.807534i | −0.994256 | − | 0.107033i | \(-0.965865\pi\) |
−0.404435 | + | 0.914567i | \(0.632532\pi\) | |||||||
\(12\) | −140.970 | − | 60.6925i | −0.978958 | − | 0.421476i | ||||
\(13\) | −29.5769 | + | 167.739i | −0.175011 | + | 0.992536i | 0.763120 | + | 0.646256i | \(0.223666\pi\) |
−0.938131 | + | 0.346280i | \(0.887445\pi\) | |||||||
\(14\) | 221.866 | − | 209.466i | 1.13197 | − | 1.06870i | ||||
\(15\) | −103.318 | + | 123.130i | −0.459191 | + | 0.547243i | ||||
\(16\) | 101.723 | + | 234.922i | 0.397354 | + | 0.917665i | ||||
\(17\) | 11.9406 | + | 4.34604i | 0.0413171 | + | 0.0150382i | 0.362596 | − | 0.931946i | \(-0.381890\pi\) |
−0.321279 | + | 0.946985i | \(0.604113\pi\) | |||||||
\(18\) | 2.57738 | + | 43.9889i | 0.00795488 | + | 0.135768i | ||||
\(19\) | −194.078 | − | 304.392i | −0.537613 | − | 0.843192i | ||||
\(20\) | 266.265 | − | 31.3093i | 0.665663 | − | 0.0782732i | ||||
\(21\) | −687.597 | − | 250.265i | −1.55918 | − | 0.567494i | ||||
\(22\) | −180.535 | − | 760.560i | −0.373006 | − | 1.57140i | ||||
\(23\) | 656.091 | − | 781.899i | 1.24025 | − | 1.47807i | 0.418503 | − | 0.908215i | \(-0.362555\pi\) |
0.821745 | − | 0.569855i | \(-0.193001\pi\) | |||||||
\(24\) | 394.130 | − | 470.701i | 0.684254 | − | 0.817189i | ||||
\(25\) | −59.7747 | + | 338.999i | −0.0956395 | + | 0.542398i | ||||
\(26\) | −608.943 | − | 305.558i | −0.900803 | − | 0.452009i | ||||
\(27\) | −581.381 | + | 335.660i | −0.797505 | + | 0.460439i | ||||
\(28\) | 548.514 | + | 1090.29i | 0.699635 | + | 1.39068i | ||||
\(29\) | 721.139 | − | 262.473i | 0.857478 | − | 0.312097i | 0.124393 | − | 0.992233i | \(-0.460302\pi\) |
0.733086 | + | 0.680136i | \(0.238079\pi\) | |||||||
\(30\) | −353.486 | − | 537.043i | −0.392762 | − | 0.596715i | ||||
\(31\) | 256.282 | + | 147.964i | 0.266682 | + | 0.153969i | 0.627379 | − | 0.778714i | \(-0.284128\pi\) |
−0.360697 | + | 0.932683i | \(0.617461\pi\) | |||||||
\(32\) | −1016.87 | + | 120.644i | −0.993035 | + | 0.117816i | ||||
\(33\) | −1436.03 | + | 1204.97i | −1.31866 | + | 1.10649i | ||||
\(34\) | −30.3382 | + | 40.7807i | −0.0262441 | + | 0.0352775i | ||||
\(35\) | 1258.76 | − | 221.954i | 1.02756 | − | 0.181187i | ||||
\(36\) | −171.535 | − | 40.5287i | −0.132357 | − | 0.0312722i | ||||
\(37\) | −1280.10 | −0.935059 | −0.467529 | − | 0.883978i | \(-0.654856\pi\) | ||||
−0.467529 | + | 0.883978i | \(0.654856\pi\) | |||||||
\(38\) | 1388.93 | − | 394.979i | 0.961863 | − | 0.273531i | ||||
\(39\) | 1633.86i | 1.07420i | ||||||||
\(40\) | −185.121 | + | 1056.30i | −0.115700 | + | 0.660188i | ||||
\(41\) | 387.269 | + | 2196.31i | 0.230380 | + | 1.30655i | 0.852129 | + | 0.523332i | \(0.175311\pi\) |
−0.621749 | + | 0.783217i | \(0.713577\pi\) | |||||||
\(42\) | 1747.01 | − | 2348.34i | 0.990368 | − | 1.33126i | ||||
\(43\) | −66.3295 | − | 79.0485i | −0.0358732 | − | 0.0427520i | 0.747810 | − | 0.663913i | \(-0.231106\pi\) |
−0.783683 | + | 0.621161i | \(0.786661\pi\) | |||||||
\(44\) | 3121.61 | + | 179.639i | 1.61240 | + | 0.0927888i | ||||
\(45\) | −92.2941 | + | 159.858i | −0.0455773 | + | 0.0789423i | ||||
\(46\) | 2244.71 | + | 3410.34i | 1.06083 | + | 1.61169i | ||||
\(47\) | 28.9427 | + | 79.5194i | 0.0131022 | + | 0.0359979i | 0.946071 | − | 0.323958i | \(-0.105014\pi\) |
−0.932969 | + | 0.359956i | \(0.882792\pi\) | |||||||
\(48\) | 1352.27 | + | 2049.82i | 0.586921 | + | 0.889677i | ||||
\(49\) | 1708.89 | + | 2959.89i | 0.711742 | + | 1.23277i | ||||
\(50\) | −1230.67 | − | 617.531i | −0.492268 | − | 0.247012i | ||||
\(51\) | 120.040 | + | 21.1663i | 0.0461514 | + | 0.00813774i | ||||
\(52\) | 1868.78 | − | 1983.55i | 0.691118 | − | 0.733562i | ||||
\(53\) | −2932.99 | − | 2461.07i | −1.04414 | − | 0.876138i | −0.0516753 | − | 0.998664i | \(-0.516456\pi\) |
−0.992465 | + | 0.122526i | \(0.960901\pi\) | |||||||
\(54\) | −620.176 | − | 2612.69i | −0.212680 | − | 0.895983i | ||||
\(55\) | 1119.97 | − | 3077.08i | 0.370236 | − | 1.01722i | ||||
\(56\) | −4806.93 | + | 852.752i | −1.53282 | + | 0.271923i | ||||
\(57\) | −2340.45 | − | 2552.24i | −0.720359 | − | 0.785547i | ||||
\(58\) | 179.550 | + | 3064.43i | 0.0533738 | + | 0.910947i | ||||
\(59\) | −1805.86 | + | 4961.56i | −0.518777 | + | 1.42533i | 0.353093 | + | 0.935588i | \(0.385130\pi\) |
−0.871869 | + | 0.489739i | \(0.837092\pi\) | |||||||
\(60\) | 2463.19 | − | 739.295i | 0.684221 | − | 0.205360i | ||||
\(61\) | 866.692 | + | 727.241i | 0.232919 | + | 0.195442i | 0.751776 | − | 0.659419i | \(-0.229198\pi\) |
−0.518857 | + | 0.854861i | \(0.673642\pi\) | |||||||
\(62\) | −860.720 | + | 812.612i | −0.223913 | + | 0.211398i | ||||
\(63\) | −827.552 | − | 145.920i | −0.208504 | − | 0.0367648i | ||||
\(64\) | 702.863 | − | 4035.24i | 0.171597 | − | 0.985167i | ||||
\(65\) | −1427.01 | − | 2471.66i | −0.337755 | − | 0.585008i | ||||
\(66\) | −2972.35 | − | 6884.11i | −0.682358 | − | 1.58038i | ||||
\(67\) | 167.766 | + | 460.934i | 0.0373728 | + | 0.102681i | 0.956975 | − | 0.290169i | \(-0.0937115\pi\) |
−0.919603 | + | 0.392850i | \(0.871489\pi\) | |||||||
\(68\) | −121.522 | − | 162.997i | −0.0262808 | − | 0.0352501i | ||||
\(69\) | 4895.52 | − | 8479.29i | 1.02825 | − | 1.78099i | ||||
\(70\) | −591.789 | + | 5078.36i | −0.120773 | + | 1.03640i | ||||
\(71\) | −2385.62 | − | 2843.08i | −0.473244 | − | 0.563991i | 0.475630 | − | 0.879646i | \(-0.342220\pi\) |
−0.948874 | + | 0.315655i | \(0.897776\pi\) | |||||||
\(72\) | 351.879 | − | 610.940i | 0.0678779 | − | 0.117851i | ||||
\(73\) | 741.316 | + | 4204.21i | 0.139110 | + | 0.788930i | 0.971909 | + | 0.235356i | \(0.0756255\pi\) |
−0.832800 | + | 0.553575i | \(0.813263\pi\) | |||||||
\(74\) | 1466.84 | − | 4905.78i | 0.267867 | − | 0.895869i | ||||
\(75\) | 3302.01i | 0.587025i | ||||||||
\(76\) | −77.8511 | + | 5775.48i | −0.0134784 | + | 0.999909i | ||||
\(77\) | 14907.1 | 2.51426 | ||||||||
\(78\) | −6261.52 | − | 1872.21i | −1.02918 | − | 0.307726i | ||||
\(79\) | 637.788 | − | 112.459i | 0.102193 | − | 0.0180194i | −0.122318 | − | 0.992491i | \(-0.539033\pi\) |
0.224511 | + | 0.974472i | \(0.427922\pi\) | |||||||
\(80\) | −3835.99 | − | 1919.84i | −0.599374 | − | 0.299976i | ||||
\(81\) | −5616.60 | + | 4712.89i | −0.856058 | + | 0.718318i | ||||
\(82\) | −8860.80 | − | 1032.56i | −1.31779 | − | 0.153564i | ||||
\(83\) | −8935.16 | − | 5158.72i | −1.29702 | − | 0.748834i | −0.317131 | − | 0.948382i | \(-0.602719\pi\) |
−0.979888 | + | 0.199548i | \(0.936053\pi\) | |||||||
\(84\) | 6997.81 | + | 9386.09i | 0.991753 | + | 1.33023i | ||||
\(85\) | −200.080 | + | 72.8233i | −0.0276928 | + | 0.0100793i | ||||
\(86\) | 378.948 | − | 163.618i | 0.0512368 | − | 0.0221225i | ||||
\(87\) | 6375.23 | − | 3680.74i | 0.842282 | − | 0.486292i | ||||
\(88\) | −4265.44 | + | 11757.3i | −0.550806 | + | 1.51824i | ||||
\(89\) | 984.013 | − | 5580.62i | 0.124228 | − | 0.704534i | −0.857535 | − | 0.514426i | \(-0.828005\pi\) |
0.981763 | − | 0.190108i | \(-0.0608839\pi\) | |||||||
\(90\) | −506.875 | − | 536.883i | −0.0625771 | − | 0.0662818i | ||||
\(91\) | 8351.52 | − | 9952.95i | 1.00852 | − | 1.20190i | ||||
\(92\) | −15641.8 | + | 4694.68i | −1.84804 | + | 0.554665i | ||||
\(93\) | 2667.50 | + | 970.890i | 0.308417 | + | 0.112255i | ||||
\(94\) | −337.911 | + | 19.7988i | −0.0382426 | + | 0.00224069i | ||||
\(95\) | 5769.71 | + | 1816.83i | 0.639303 | + | 0.201310i | ||||
\(96\) | −9405.16 | + | 2833.51i | −1.02053 | + | 0.307456i | ||||
\(97\) | −1300.33 | − | 473.282i | −0.138201 | − | 0.0503010i | 0.271994 | − | 0.962299i | \(-0.412317\pi\) |
−0.410195 | + | 0.911998i | \(0.634539\pi\) | |||||||
\(98\) | −13301.5 | + | 3157.40i | −1.38500 | + | 0.328759i | ||||
\(99\) | −1383.79 | + | 1649.14i | −0.141189 | + | 0.168263i | ||||
\(100\) | 3776.80 | − | 4008.75i | 0.377680 | − | 0.400875i | ||||
\(101\) | 1201.27 | − | 6812.77i | 0.117761 | − | 0.667853i | −0.867586 | − | 0.497287i | \(-0.834329\pi\) |
0.985346 | − | 0.170566i | \(-0.0545595\pi\) | |||||||
\(102\) | −218.668 | + | 435.781i | −0.0210177 | + | 0.0418859i | ||||
\(103\) | −6777.10 | + | 3912.76i | −0.638807 | + | 0.368815i | −0.784155 | − | 0.620565i | \(-0.786903\pi\) |
0.145348 | + | 0.989381i | \(0.453570\pi\) | |||||||
\(104\) | 5460.27 | + | 9434.76i | 0.504832 | + | 0.872297i | ||||
\(105\) | 11521.5 | − | 4193.50i | 1.04504 | − | 0.380362i | ||||
\(106\) | 12792.6 | − | 8420.16i | 1.13853 | − | 0.749392i | ||||
\(107\) | −6032.39 | − | 3482.80i | −0.526892 | − | 0.304202i | 0.212858 | − | 0.977083i | \(-0.431723\pi\) |
−0.739750 | + | 0.672882i | \(0.765056\pi\) | |||||||
\(108\) | 10723.4 | + | 617.099i | 0.919358 | + | 0.0529063i | ||||
\(109\) | −9198.98 | + | 7718.86i | −0.774260 | + | 0.649681i | −0.941796 | − | 0.336185i | \(-0.890863\pi\) |
0.167536 | + | 0.985866i | \(0.446419\pi\) | |||||||
\(110\) | 10509.1 | + | 7818.08i | 0.868522 | + | 0.646122i | ||||
\(111\) | −12092.8 | + | 2132.28i | −0.981476 | + | 0.173061i | ||||
\(112\) | 2240.13 | − | 19399.0i | 0.178582 | − | 1.54648i | ||||
\(113\) | −8006.99 | −0.627064 | −0.313532 | − | 0.949578i | \(-0.601512\pi\) | ||||
−0.313532 | + | 0.949578i | \(0.601512\pi\) | |||||||
\(114\) | 12463.0 | − | 6044.85i | 0.958986 | − | 0.465131i | ||||
\(115\) | 17103.0i | 1.29324i | ||||||||
\(116\) | −11949.7 | − | 2823.38i | −0.888058 | − | 0.209823i | ||||
\(117\) | 325.821 | + | 1847.82i | 0.0238017 | + | 0.134986i | ||||
\(118\) | −16945.2 | − | 12606.1i | −1.21698 | − | 0.905349i | ||||
\(119\) | −623.054 | − | 742.527i | −0.0439979 | − | 0.0524346i | ||||
\(120\) | 10.7092 | + | 10287.0i | 0.000743692 | + | 0.714374i | ||||
\(121\) | 11774.6 | − | 20394.3i | 0.804223 | − | 1.39296i | ||||
\(122\) | −3780.17 | + | 2488.14i | −0.253976 | + | 0.167169i | ||||
\(123\) | 7316.87 | + | 20102.9i | 0.483632 | + | 1.32877i | ||||
\(124\) | −2127.93 | − | 4229.74i | −0.138393 | − | 0.275087i | ||||
\(125\) | −8120.31 | − | 14064.8i | −0.519700 | − | 0.900147i | ||||
\(126\) | 1507.49 | − | 3004.27i | 0.0949542 | − | 0.189233i | ||||
\(127\) | 28601.8 | + | 5043.27i | 1.77332 | + | 0.312683i | 0.962229 | − | 0.272243i | \(-0.0877654\pi\) |
0.811087 | + | 0.584926i | \(0.198877\pi\) | |||||||
\(128\) | 14659.1 | + | 7317.54i | 0.894720 | + | 0.446627i | ||||
\(129\) | −758.272 | − | 636.266i | −0.0455665 | − | 0.0382348i | ||||
\(130\) | 11107.5 | − | 2636.59i | 0.657247 | − | 0.156011i | ||||
\(131\) | 2466.96 | − | 6777.91i | 0.143754 | − | 0.394960i | −0.846831 | − | 0.531862i | \(-0.821492\pi\) |
0.990585 | + | 0.136902i | \(0.0437146\pi\) | |||||||
\(132\) | 29788.3 | − | 3502.72i | 1.70962 | − | 0.201028i | ||||
\(133\) | 1211.39 | + | 27510.8i | 0.0684826 | + | 1.55525i | ||||
\(134\) | −1958.71 | + | 114.764i | −0.109084 | + | 0.00639138i | ||||
\(135\) | 3847.32 | − | 10570.4i | 0.211101 | − | 0.579996i | ||||
\(136\) | 763.911 | − | 278.942i | 0.0413014 | − | 0.0150812i | ||||
\(137\) | 16474.6 | + | 13823.9i | 0.877757 | + | 0.736526i | 0.965717 | − | 0.259598i | \(-0.0835901\pi\) |
−0.0879593 | + | 0.996124i | \(0.528035\pi\) | |||||||
\(138\) | 26886.0 | + | 28477.6i | 1.41178 | + | 1.49536i | ||||
\(139\) | −13235.5 | − | 2333.78i | −0.685032 | − | 0.120790i | −0.179709 | − | 0.983720i | \(-0.557516\pi\) |
−0.505323 | + | 0.862930i | \(0.668627\pi\) | |||||||
\(140\) | −18784.0 | − | 8087.16i | −0.958366 | − | 0.412610i | ||||
\(141\) | 405.872 | + | 702.991i | 0.0204151 | + | 0.0353599i | ||||
\(142\) | 13629.3 | − | 5884.73i | 0.675924 | − | 0.291843i | ||||
\(143\) | −11384.4 | − | 31278.3i | −0.556721 | − | 1.52958i | ||||
\(144\) | 1938.13 | + | 2048.59i | 0.0934669 | + | 0.0987940i | ||||
\(145\) | −6429.54 | + | 11136.3i | −0.305804 | + | 0.529669i | ||||
\(146\) | −16961.5 | − | 1976.55i | −0.795716 | − | 0.0927260i | ||||
\(147\) | 21073.9 | + | 25114.8i | 0.975235 | + | 1.16224i | ||||
\(148\) | 17119.9 | + | 11242.9i | 0.781586 | + | 0.513281i | ||||
\(149\) | −1067.73 | − | 6055.42i | −0.0480939 | − | 0.272754i | 0.951272 | − | 0.308352i | \(-0.0997775\pi\) |
−0.999366 | + | 0.0355980i | \(0.988666\pi\) | |||||||
\(150\) | −12654.5 | − | 3783.72i | −0.562422 | − | 0.168165i | ||||
\(151\) | 15906.8i | 0.697638i | 0.937190 | + | 0.348819i | \(0.113417\pi\) | ||||
−0.937190 | + | 0.348819i | \(0.886583\pi\) | |||||||
\(152\) | −22044.5 | − | 6916.37i | −0.954141 | − | 0.299358i | ||||
\(153\) | 139.981 | 0.00597980 | ||||||||
\(154\) | −17081.8 | + | 57129.2i | −0.720263 | + | 2.40889i | ||||
\(155\) | −4883.31 | + | 861.060i | −0.203260 | + | 0.0358402i | ||||
\(156\) | 14349.9 | − | 21851.0i | 0.589658 | − | 0.897889i | ||||
\(157\) | −22432.0 | + | 18822.7i | −0.910056 | + | 0.763628i | −0.972130 | − | 0.234444i | \(-0.924673\pi\) |
0.0620733 | + | 0.998072i | \(0.480229\pi\) | |||||||
\(158\) | −299.847 | + | 2573.10i | −0.0120112 | + | 0.103072i | ||||
\(159\) | −31806.7 | − | 18363.6i | −1.25813 | − | 0.726381i | ||||
\(160\) | 11753.1 | − | 12501.0i | 0.459107 | − | 0.488319i | ||||
\(161\) | −73164.2 | + | 26629.6i | −2.82258 | + | 1.02734i | ||||
\(162\) | −11625.5 | − | 26925.2i | −0.442977 | − | 1.02596i | ||||
\(163\) | 17456.7 | − | 10078.6i | 0.657031 | − | 0.379337i | −0.134114 | − | 0.990966i | \(-0.542819\pi\) |
0.791145 | + | 0.611629i | \(0.209485\pi\) | |||||||
\(164\) | 14110.6 | − | 32774.6i | 0.524635 | − | 1.21857i | ||||
\(165\) | 5454.50 | − | 30934.0i | 0.200349 | − | 1.13624i | ||||
\(166\) | 30008.7 | − | 28331.4i | 1.08901 | − | 1.02814i | ||||
\(167\) | 1213.22 | − | 1445.86i | 0.0435018 | − | 0.0518434i | −0.743855 | − | 0.668341i | \(-0.767005\pi\) |
0.787357 | + | 0.616498i | \(0.211449\pi\) | |||||||
\(168\) | −43989.5 | + | 16062.7i | −1.55858 | + | 0.569117i | ||||
\(169\) | −422.906 | − | 153.925i | −0.0148071 | − | 0.00538935i | ||||
\(170\) | −49.8161 | − | 850.226i | −0.00172374 | − | 0.0294196i | ||||
\(171\) | −3155.91 | − | 2419.76i | −0.107928 | − | 0.0827521i | ||||
\(172\) | 192.813 | + | 1639.75i | 0.00651747 | + | 0.0554269i | ||||
\(173\) | 5938.54 | + | 2161.45i | 0.198421 | + | 0.0722193i | 0.439319 | − | 0.898331i | \(-0.355220\pi\) |
−0.240898 | + | 0.970550i | \(0.577442\pi\) | |||||||
\(174\) | 6800.64 | + | 28649.9i | 0.224622 | + | 0.946289i | ||||
\(175\) | 16878.4 | − | 20114.9i | 0.551130 | − | 0.656812i | ||||
\(176\) | −40170.3 | − | 29819.1i | −1.29682 | − | 0.962653i | ||||
\(177\) | −8794.98 | + | 49878.8i | −0.280730 | + | 1.59210i | ||||
\(178\) | 20259.3 | + | 10165.8i | 0.639419 | + | 0.320850i | ||||
\(179\) | −3426.23 | + | 1978.13i | −0.106933 | + | 0.0617376i | −0.552513 | − | 0.833505i | \(-0.686331\pi\) |
0.445580 | + | 0.895242i | \(0.352998\pi\) | |||||||
\(180\) | 2638.34 | − | 1327.32i | 0.0814304 | − | 0.0409667i | ||||
\(181\) | −25112.2 | + | 9140.08i | −0.766526 | + | 0.278993i | −0.695543 | − | 0.718485i | \(-0.744836\pi\) |
−0.0709835 | + | 0.997477i | \(0.522614\pi\) | |||||||
\(182\) | 28573.4 | + | 43410.9i | 0.862619 | + | 1.31056i | ||||
\(183\) | 9398.82 | + | 5426.41i | 0.280654 | + | 0.162036i | ||||
\(184\) | −68.0055 | − | 65324.6i | −0.00200867 | − | 1.92948i | ||||
\(185\) | 16431.3 | − | 13787.5i | 0.480097 | − | 0.402849i | ||||
\(186\) | −6777.44 | + | 9110.28i | −0.195902 | + | 0.263333i | ||||
\(187\) | −2445.51 | + | 431.210i | −0.0699337 | + | 0.0123312i | ||||
\(188\) | 311.331 | − | 1317.68i | 0.00880860 | − | 0.0372817i | ||||
\(189\) | 51209.0 | 1.43358 | ||||||||
\(190\) | −13574.1 | + | 20029.7i | −0.376015 | + | 0.554840i | ||||
\(191\) | 34647.5i | 0.949740i | 0.880056 | + | 0.474870i | \(0.157505\pi\) | ||||
−0.880056 | + | 0.474870i | \(0.842495\pi\) | |||||||
\(192\) | −81.8067 | − | 39290.8i | −0.00221915 | − | 1.06583i | ||||
\(193\) | −4533.64 | − | 25711.6i | −0.121712 | − | 0.690262i | −0.983207 | − | 0.182496i | \(-0.941582\pi\) |
0.861495 | − | 0.507766i | \(-0.169529\pi\) | |||||||
\(194\) | 3303.82 | − | 4441.01i | 0.0877834 | − | 0.117999i | ||||
\(195\) | −17597.8 | − | 20972.2i | −0.462795 | − | 0.551537i | ||||
\(196\) | 3141.73 | − | 54594.2i | 0.0817819 | − | 1.42113i | ||||
\(197\) | 4559.39 | − | 7897.09i | 0.117483 | − | 0.203486i | −0.801287 | − | 0.598281i | \(-0.795851\pi\) |
0.918769 | + | 0.394794i | \(0.129184\pi\) | |||||||
\(198\) | −4734.43 | − | 7192.91i | −0.120764 | − | 0.183474i | ||||
\(199\) | −18247.3 | − | 50134.2i | −0.460780 | − | 1.26598i | −0.924900 | − | 0.380210i | \(-0.875852\pi\) |
0.464120 | − | 0.885772i | \(-0.346371\pi\) | |||||||
\(200\) | 11035.2 | + | 19067.6i | 0.275879 | + | 0.476690i | ||||
\(201\) | 2352.64 | + | 4074.89i | 0.0582322 | + | 0.100861i | ||||
\(202\) | 24732.4 | + | 12410.3i | 0.606128 | + | 0.304145i | ||||
\(203\) | −57650.2 | − | 10165.3i | −1.39897 | − | 0.246676i | ||||
\(204\) | −1419.50 | − | 1337.37i | −0.0341095 | − | 0.0321359i | ||||
\(205\) | −28626.8 | − | 24020.7i | −0.681185 | − | 0.571582i | ||||
\(206\) | −7229.33 | − | 30455.8i | −0.170358 | − | 0.717689i | ||||
\(207\) | 3845.71 | − | 10566.0i | 0.0897502 | − | 0.246587i | ||||
\(208\) | −42414.2 | + | 10114.5i | −0.980358 | + | 0.233787i | ||||
\(209\) | 62588.8 | + | 32552.1i | 1.43286 | + | 0.745223i | ||||
\(210\) | 2868.64 | + | 48959.9i | 0.0650484 | + | 1.11020i | ||||
\(211\) | −20680.2 | + | 56818.5i | −0.464505 | + | 1.27622i | 0.457558 | + | 0.889180i | \(0.348724\pi\) |
−0.922064 | + | 0.387038i | \(0.873498\pi\) | |||||||
\(212\) | 17610.3 | + | 58674.2i | 0.391827 | + | 1.30550i | ||||
\(213\) | −27272.2 | − | 22884.1i | −0.601120 | − | 0.504400i | ||||
\(214\) | 20259.8 | − | 19127.4i | 0.442391 | − | 0.417665i | ||||
\(215\) | 1702.81 | + | 300.252i | 0.0368375 | + | 0.00649545i | ||||
\(216\) | −14652.7 | + | 40388.7i | −0.314058 | + | 0.865671i | ||||
\(217\) | −11286.9 | − | 19549.4i | −0.239692 | − | 0.415158i | ||||
\(218\) | −19040.5 | − | 44098.7i | −0.400650 | − | 0.927925i | ||||
\(219\) | 14006.1 | + | 38481.4i | 0.292031 | + | 0.802347i | ||||
\(220\) | −42003.9 | + | 31316.1i | −0.867848 | + | 0.647026i | ||||
\(221\) | −1082.17 | + | 1874.37i | −0.0221569 | + | 0.0383769i | ||||
\(222\) | 5685.24 | − | 48787.1i | 0.115357 | − | 0.989918i | ||||
\(223\) | −43023.8 | − | 51273.8i | −0.865165 | − | 1.03106i | −0.999196 | − | 0.0400867i | \(-0.987237\pi\) |
0.134031 | − | 0.990977i | \(-0.457208\pi\) | |||||||
\(224\) | 71777.0 | + | 30814.0i | 1.43050 | + | 0.614118i | ||||
\(225\) | 658.483 | + | 3734.44i | 0.0130071 | + | 0.0737668i | ||||
\(226\) | 9175.07 | − | 30685.6i | 0.179636 | − | 0.600784i | ||||
\(227\) | 67451.5i | 1.30900i | 0.756062 | + | 0.654500i | \(0.227121\pi\) | ||||
−0.756062 | + | 0.654500i | \(0.772879\pi\) | |||||||
\(228\) | 8884.89 | + | 54689.3i | 0.170916 | + | 1.05204i | ||||
\(229\) | 34692.9 | 0.661561 | 0.330781 | − | 0.943708i | \(-0.392688\pi\) | ||||
0.330781 | + | 0.943708i | \(0.392688\pi\) | |||||||
\(230\) | −65544.9 | − | 19598.1i | −1.23903 | − | 0.370474i | ||||
\(231\) | 140824. | − | 24831.0i | 2.63908 | − | 0.465340i | ||||
\(232\) | 24513.2 | − | 42560.3i | 0.455432 | − | 0.790731i | ||||
\(233\) | 53934.4 | − | 45256.3i | 0.993468 | − | 0.833619i | 0.00740222 | − | 0.999973i | \(-0.497644\pi\) |
0.986066 | + | 0.166354i | \(0.0531993\pi\) | |||||||
\(234\) | −7454.87 | − | 868.728i | −0.136147 | − | 0.0158654i | ||||
\(235\) | −1227.99 | − | 708.979i | −0.0222361 | − | 0.0128380i | ||||
\(236\) | 67728.1 | − | 50494.8i | 1.21603 | − | 0.906615i | ||||
\(237\) | 5837.72 | − | 2124.75i | 0.103931 | − | 0.0378279i | ||||
\(238\) | 3559.57 | − | 1536.92i | 0.0628411 | − | 0.0271329i | ||||
\(239\) | −32055.9 | + | 18507.5i | −0.561194 | + | 0.324005i | −0.753624 | − | 0.657305i | \(-0.771696\pi\) |
0.192431 | + | 0.981311i | \(0.438363\pi\) | |||||||
\(240\) | −39435.7 | − | 11746.6i | −0.684647 | − | 0.203935i | ||||
\(241\) | 5042.84 | − | 28599.4i | 0.0868243 | − | 0.492405i | −0.910124 | − | 0.414337i | \(-0.864014\pi\) |
0.996948 | − | 0.0780685i | \(-0.0248753\pi\) | |||||||
\(242\) | 64665.7 | + | 68494.0i | 1.10419 | + | 1.16956i | ||||
\(243\) | −10255.5 | + | 12222.1i | −0.173678 | + | 0.206981i | ||||
\(244\) | −5203.80 | − | 17338.1i | −0.0874059 | − | 0.291220i | ||||
\(245\) | −53815.4 | − | 19587.2i | −0.896550 | − | 0.326318i | ||||
\(246\) | −85425.9 | + | 5005.24i | −1.41163 | + | 0.0827094i | ||||
\(247\) | 56798.6 | − | 23551.5i | 0.930987 | − | 0.386033i | ||||
\(248\) | 18648.3 | − | 3308.21i | 0.303204 | − | 0.0537885i | ||||
\(249\) | −93001.4 | − | 33849.8i | −1.50000 | − | 0.545955i | ||||
\(250\) | 63206.2 | − | 15003.3i | 1.01130 | − | 0.240053i | ||||
\(251\) | −48414.9 | + | 57698.7i | −0.768479 | + | 0.915838i | −0.998352 | − | 0.0573830i | \(-0.981724\pi\) |
0.229873 | + | 0.973221i | \(0.426169\pi\) | |||||||
\(252\) | 9786.00 | + | 9219.79i | 0.154101 | + | 0.145184i | ||||
\(253\) | −34637.2 | + | 196438.i | −0.541131 | + | 3.06891i | ||||
\(254\) | −52101.9 | + | 103833.i | −0.807581 | + | 1.60942i | ||||
\(255\) | −1768.81 | + | 1021.22i | −0.0272020 | + | 0.0157051i | ||||
\(256\) | −44841.0 | + | 47793.8i | −0.684220 | + | 0.729276i | ||||
\(257\) | 106187. | − | 38648.8i | 1.60770 | − | 0.585154i | 0.626715 | − | 0.779249i | \(-0.284399\pi\) |
0.980983 | + | 0.194094i | \(0.0621768\pi\) | |||||||
\(258\) | 3307.29 | − | 2176.88i | 0.0496859 | − | 0.0327036i | ||||
\(259\) | 84564.7 | + | 48823.4i | 1.26064 | + | 0.727828i | ||||
\(260\) | −2623.51 | + | 45589.0i | −0.0388093 | + | 0.674394i | ||||
\(261\) | 6476.12 | − | 5434.11i | 0.0950679 | − | 0.0797714i | ||||
\(262\) | 23148.5 | + | 17221.0i | 0.337226 | + | 0.250873i | ||||
\(263\) | 34682.7 | − | 6115.49i | 0.501420 | − | 0.0884138i | 0.0827829 | − | 0.996568i | \(-0.473619\pi\) |
0.418637 | + | 0.908154i | \(0.362508\pi\) | |||||||
\(264\) | −20710.3 | + | 118173.i | −0.297152 | + | 1.69555i | ||||
\(265\) | 64155.4 | 0.913569 | ||||||||
\(266\) | −106819. | − | 26881.7i | −1.50968 | − | 0.379920i | ||||
\(267\) | − | 54357.9i | − | 0.762500i | ||||||
\(268\) | 1804.63 | − | 7637.96i | 0.0251258 | − | 0.106343i | ||||
\(269\) | −16322.1 | − | 92567.1i | −0.225565 | − | 1.27924i | −0.861603 | − | 0.507583i | \(-0.830539\pi\) |
0.636038 | − | 0.771658i | \(-0.280572\pi\) | |||||||
\(270\) | 36101.0 | + | 26856.8i | 0.495213 | + | 0.368406i | ||||
\(271\) | 19899.9 | + | 23715.8i | 0.270965 | + | 0.322924i | 0.884318 | − | 0.466886i | \(-0.154624\pi\) |
−0.613353 | + | 0.789809i | \(0.710180\pi\) | |||||||
\(272\) | 193.652 | + | 3247.21i | 0.00261748 | + | 0.0438908i | ||||
\(273\) | 62316.0 | − | 107935.i | 0.836131 | − | 1.44822i | ||||
\(274\) | −71855.9 | + | 47296.1i | −0.957109 | + | 0.629977i | ||||
\(275\) | −23007.8 | − | 63213.4i | −0.304235 | − | 0.835879i | ||||
\(276\) | −139945. | + | 70404.5i | −1.83712 | + | 0.924235i | ||||
\(277\) | 57793.2 | + | 100101.i | 0.753212 | + | 1.30460i | 0.946258 | + | 0.323411i | \(0.104830\pi\) |
−0.193047 | + | 0.981190i | \(0.561837\pi\) | |||||||
\(278\) | 24110.2 | − | 48048.9i | 0.311969 | − | 0.621719i | ||||
\(279\) | 3210.45 | + | 566.089i | 0.0412437 | + | 0.00727237i | ||||
\(280\) | 52517.1 | − | 62719.9i | 0.669861 | − | 0.799999i | ||||
\(281\) | 7904.89 | + | 6632.99i | 0.100111 | + | 0.0840033i | 0.691470 | − | 0.722406i | \(-0.256964\pi\) |
−0.591358 | + | 0.806409i | \(0.701408\pi\) | |||||||
\(282\) | −3159.19 | + | 749.900i | −0.0397263 | + | 0.00942986i | ||||
\(283\) | −18601.0 | + | 51105.8i | −0.232254 | + | 0.638113i | −0.999997 | − | 0.00264574i | \(-0.999158\pi\) |
0.767742 | + | 0.640759i | \(0.221380\pi\) | |||||||
\(284\) | 6934.76 | + | 58975.6i | 0.0859794 | + | 0.731200i | ||||
\(285\) | 57531.5 | + | 7552.41i | 0.708297 | + | 0.0929814i | ||||
\(286\) | 132915. | − | 7787.69i | 1.62496 | − | 0.0952087i | ||||
\(287\) | 58184.8 | − | 159862.i | 0.706392 | − | 1.94080i | ||||
\(288\) | −10071.8 | + | 5080.15i | −0.121429 | + | 0.0612480i | ||||
\(289\) | −63857.1 | − | 53582.5i | −0.764563 | − | 0.641545i | ||||
\(290\) | −35310.7 | − | 37401.2i | −0.419866 | − | 0.444723i | ||||
\(291\) | −13072.3 | − | 2305.00i | −0.154371 | − | 0.0272198i | ||||
\(292\) | 27010.7 | − | 62737.6i | 0.316789 | − | 0.735804i | ||||
\(293\) | 47191.0 | + | 81737.1i | 0.549697 | + | 0.952103i | 0.998295 | + | 0.0583698i | \(0.0185902\pi\) |
−0.448598 | + | 0.893734i | \(0.648076\pi\) | |||||||
\(294\) | −120397. | + | 51983.8i | −1.39291 | + | 0.601414i | ||||
\(295\) | −30259.4 | − | 83137.1i | −0.347710 | − | 0.955325i | ||||
\(296\) | −62704.2 | + | 52726.4i | −0.715670 | + | 0.601789i | ||||
\(297\) | 65595.9 | − | 113615.i | 0.743641 | − | 1.28802i | ||||
\(298\) | 24430.0 | + | 2846.87i | 0.275100 | + | 0.0320579i | ||||
\(299\) | 111750. | + | 133178.i | 1.24998 | + | 1.48967i | ||||
\(300\) | 29001.1 | − | 44160.8i | 0.322235 | − | 0.490676i | ||||
\(301\) | 1366.87 | + | 7751.88i | 0.0150866 | + | 0.0855606i | ||||
\(302\) | −60960.7 | − | 18227.4i | −0.668399 | − | 0.199853i | ||||
\(303\) | − | 66359.6i | − | 0.722801i | ||||||
\(304\) | 51766.4 | − | 76556.9i | 0.560145 | − | 0.828394i | ||||
\(305\) | −18957.8 | −0.203792 | ||||||||
\(306\) | −160.402 | + | 536.458i | −0.00171304 | + | 0.00572918i | ||||
\(307\) | −133855. | + | 23602.2i | −1.42022 | + | 0.250424i | −0.830427 | − | 0.557128i | \(-0.811903\pi\) |
−0.589797 | + | 0.807551i | \(0.700792\pi\) | |||||||
\(308\) | −199366. | − | 130927.i | −2.10160 | − | 1.38015i | ||||
\(309\) | −57504.2 | + | 48251.7i | −0.602258 | + | 0.505354i | ||||
\(310\) | 2295.82 | − | 19701.3i | 0.0238899 | − | 0.205008i | ||||
\(311\) | 7636.00 | + | 4408.65i | 0.0789488 | + | 0.0455811i | 0.538955 | − | 0.842335i | \(-0.318819\pi\) |
−0.460006 | + | 0.887916i | \(0.652153\pi\) | |||||||
\(312\) | 67297.6 | + | 80032.8i | 0.691338 | + | 0.822164i | ||||
\(313\) | −51350.6 | + | 18690.1i | −0.524152 | + | 0.190776i | −0.590525 | − | 0.807019i | \(-0.701079\pi\) |
0.0663735 | + | 0.997795i | \(0.478857\pi\) | |||||||
\(314\) | −46430.7 | − | 107536.i | −0.470919 | − | 1.09067i | ||||
\(315\) | 12194.1 | − | 7040.28i | 0.122894 | − | 0.0709527i | ||||
\(316\) | −9517.44 | − | 4097.59i | −0.0953116 | − | 0.0410350i | ||||
\(317\) | 25232.3 | − | 143099.i | 0.251095 | − | 1.42403i | −0.554806 | − | 0.831980i | \(-0.687207\pi\) |
0.805901 | − | 0.592051i | \(-0.201681\pi\) | |||||||
\(318\) | 106823. | − | 100852.i | 1.05635 | − | 0.997312i | ||||
\(319\) | −96400.0 | + | 114885.i | −0.947318 | + | 1.12897i | ||||
\(320\) | 34440.5 | + | 59366.8i | 0.336333 | + | 0.579754i | ||||
\(321\) | −62788.0 | − | 22853.0i | −0.609350 | − | 0.221785i | ||||
\(322\) | −18216.5 | − | 310906.i | −0.175692 | − | 2.99859i | ||||
\(323\) | −994.519 | − | 4478.11i | −0.00953253 | − | 0.0429230i | ||||
\(324\) | 116508. | − | 13699.9i | 1.10986 | − | 0.130505i | ||||
\(325\) | −55095.3 | − | 20053.0i | −0.521612 | − | 0.189851i | ||||
\(326\) | 18621.5 | + | 78449.0i | 0.175218 | + | 0.738163i | ||||
\(327\) | −74043.2 | + | 88241.3i | −0.692452 | + | 0.825232i | ||||
\(328\) | 109435. | + | 91632.6i | 1.01720 | + | 0.851731i | ||||
\(329\) | 1120.92 | − | 6357.04i | 0.0103558 | − | 0.0587304i | ||||
\(330\) | 112300. | + | 56350.3i | 1.03122 | + | 0.517450i | ||||
\(331\) | −119570. | + | 69033.8i | −1.09136 | + | 0.630095i | −0.933937 | − | 0.357437i | \(-0.883651\pi\) |
−0.157419 | + | 0.987532i | \(0.550317\pi\) | |||||||
\(332\) | 74189.7 | + | 147469.i | 0.673081 | + | 1.33790i | ||||
\(333\) | −13251.2 | + | 4823.05i | −0.119500 | + | 0.0434944i | ||||
\(334\) | 4150.85 | + | 6306.29i | 0.0372086 | + | 0.0565302i | ||||
\(335\) | −7118.04 | − | 4109.60i | −0.0634265 | − | 0.0366193i | ||||
\(336\) | −11151.3 | − | 186989.i | −0.0987754 | − | 1.65630i | ||||
\(337\) | −111692. | + | 93721.0i | −0.983476 | + | 0.825234i | −0.984610 | − | 0.174765i | \(-0.944083\pi\) |
0.00113423 | + | 0.999999i | \(0.499639\pi\) | |||||||
\(338\) | 1074.50 | − | 1444.35i | 0.00940528 | − | 0.0126426i | ||||
\(339\) | −75640.2 | + | 13337.4i | −0.658193 | + | 0.116057i | ||||
\(340\) | 3315.45 | + | 783.347i | 0.0286804 | + | 0.00677635i | ||||
\(341\) | −57831.3 | −0.497341 | ||||||||
\(342\) | 12889.7 | − | 9321.83i | 0.110202 | − | 0.0796983i | ||||
\(343\) | − | 77561.2i | − | 0.659260i | ||||||
\(344\) | −6505.04 | − | 1140.03i | −0.0549710 | − | 0.00963387i | ||||
\(345\) | 28488.9 | + | 161568.i | 0.239352 | + | 1.35743i | ||||
\(346\) | −15088.3 | + | 20281.8i | −0.126034 | + | 0.169416i | ||||
\(347\) | −86825.3 | − | 103474.i | −0.721087 | − | 0.859358i | 0.273649 | − | 0.961830i | \(-0.411769\pi\) |
−0.994736 | + | 0.102472i | \(0.967325\pi\) | |||||||
\(348\) | −117589. | − | 6766.91i | −0.970977 | − | 0.0558768i | ||||
\(349\) | −17935.9 | + | 31065.9i | −0.147256 | + | 0.255055i | −0.930212 | − | 0.367022i | \(-0.880377\pi\) |
0.782956 | + | 0.622077i | \(0.213711\pi\) | |||||||
\(350\) | 57746.7 | + | 87733.2i | 0.471401 | + | 0.716189i | ||||
\(351\) | −39107.8 | − | 107448.i | −0.317431 | − | 0.872134i | ||||
\(352\) | 160308. | − | 119778.i | 1.29381 | − | 0.966698i | ||||
\(353\) | 11206.4 | + | 19410.1i | 0.0899327 | + | 0.155768i | 0.907482 | − | 0.420090i | \(-0.138001\pi\) |
−0.817550 | + | 0.575858i | \(0.804668\pi\) | |||||||
\(354\) | −181075. | − | 90860.8i | −1.44495 | − | 0.725053i | ||||
\(355\) | 61243.9 | + | 10798.9i | 0.485966 | + | 0.0856889i | ||||
\(356\) | −62173.9 | + | 65992.2i | −0.490578 | + | 0.520706i | ||||
\(357\) | −7122.69 | − | 5976.65i | −0.0558866 | − | 0.0468944i | ||||
\(358\) | −3654.86 | − | 15397.2i | −0.0285170 | − | 0.120137i | ||||
\(359\) | 21249.8 | − | 58383.5i | 0.164880 | − | 0.453003i | −0.829547 | − | 0.558437i | \(-0.811401\pi\) |
0.994426 | + | 0.105434i | \(0.0336233\pi\) | |||||||
\(360\) | 2063.53 | + | 11632.0i | 0.0159223 | + | 0.0897533i | ||||
\(361\) | −54988.2 | + | 118152.i | −0.421945 | + | 0.906622i | ||||
\(362\) | −6252.44 | − | 106712.i | −0.0477125 | − | 0.814324i | ||||
\(363\) | 77261.1 | − | 212273.i | 0.586337 | − | 1.61095i | ||||
\(364\) | −199108. | + | 59759.6i | −1.50275 | + | 0.451029i | ||||
\(365\) | −54797.8 | − | 45980.8i | −0.411318 | − | 0.345137i | ||||
\(366\) | −31565.9 | + | 29801.6i | −0.235644 | + | 0.222473i | ||||
\(367\) | 116874. | + | 20608.1i | 0.867734 | + | 0.153005i | 0.589755 | − | 0.807582i | \(-0.299224\pi\) |
0.277979 | + | 0.960587i | \(0.410335\pi\) | |||||||
\(368\) | 250425. | + | 74593.7i | 1.84919 | + | 0.550816i | ||||
\(369\) | 12284.0 | + | 21276.5i | 0.0902167 | + | 0.156260i | ||||
\(370\) | 34010.3 | + | 78769.6i | 0.248432 | + | 0.575380i | ||||
\(371\) | 99890.6 | + | 274447.i | 0.725733 | + | 1.99393i | ||||
\(372\) | −27147.7 | − | 36412.9i | −0.196176 | − | 0.263129i | ||||
\(373\) | −18660.0 | + | 32320.1i | −0.134120 | + | 0.232303i | −0.925261 | − | 0.379331i | \(-0.876154\pi\) |
0.791141 | + | 0.611634i | \(0.209488\pi\) | |||||||
\(374\) | 1149.72 | − | 9866.19i | 0.00821958 | − | 0.0705352i | ||||
\(375\) | −100139. | − | 119341.i | −0.712098 | − | 0.848645i | ||||
\(376\) | 4693.08 | + | 2703.04i | 0.0331958 | + | 0.0191195i | ||||
\(377\) | 22697.9 | + | 128726.i | 0.159699 | + | 0.905699i | ||||
\(378\) | −58679.5 | + | 196251.i | −0.410679 | + | 1.37350i | ||||
\(379\) | 100979.i | 0.702998i | 0.936188 | + | 0.351499i | \(0.114328\pi\) | ||||
−0.936188 | + | 0.351499i | \(0.885672\pi\) | |||||||
\(380\) | −61206.6 | − | 74972.6i | −0.423869 | − | 0.519201i | ||||
\(381\) | 278595. | 1.91922 | ||||||||
\(382\) | −132781. | − | 39701.9i | −0.909935 | − | 0.272073i | ||||
\(383\) | 58.2625 | − | 10.2733i | 0.000397184 | − | 7.00343e-5i | −0.173450 | − | 0.984843i | \(-0.555491\pi\) |
0.173847 | + | 0.984773i | \(0.444380\pi\) | |||||||
\(384\) | 150670. | + | 44709.2i | 1.02180 | + | 0.303203i | ||||
\(385\) | −191348. | + | 160560.i | −1.29093 | + | 1.08322i | ||||
\(386\) | 103731. | + | 12087.9i | 0.696199 | + | 0.0811291i | ||||
\(387\) | −984.459 | − | 568.378i | −0.00657318 | − | 0.00379503i | ||||
\(388\) | 13233.8 | + | 17750.3i | 0.0879062 | + | 0.117908i | ||||
\(389\) | −173192. | + | 63036.7i | −1.14453 | + | 0.416576i | −0.843548 | − | 0.537053i | \(-0.819537\pi\) |
−0.300984 | + | 0.953629i | \(0.597315\pi\) | |||||||
\(390\) | 100538. | − | 43409.2i | 0.660999 | − | 0.285399i | ||||
\(391\) | 11232.3 | − | 6484.98i | 0.0734710 | − | 0.0424185i | ||||
\(392\) | 205624. | + | 74598.8i | 1.33814 | + | 0.485467i | ||||
\(393\) | 12014.7 | − | 68138.6i | 0.0777906 | − | 0.441172i | ||||
\(394\) | 25039.9 | + | 26522.3i | 0.161302 | + | 0.170852i | ||||
\(395\) | −6975.40 | + | 8312.96i | −0.0447069 | + | 0.0532797i | ||||
\(396\) | 32990.9 | − | 9901.78i | 0.210380 | − | 0.0631427i | ||||
\(397\) | 17244.2 | + | 6276.37i | 0.109411 | + | 0.0398224i | 0.396146 | − | 0.918188i | \(-0.370348\pi\) |
−0.286734 | + | 0.958010i | \(0.592570\pi\) | |||||||
\(398\) | 213041. | − | 12482.4i | 1.34492 | − | 0.0788012i | ||||
\(399\) | 57269.0 | + | 257870.i | 0.359727 | + | 1.61978i | ||||
\(400\) | −85718.9 | + | 20441.4i | −0.535743 | + | 0.127759i | ||||
\(401\) | −13685.2 | − | 4981.01i | −0.0851065 | − | 0.0309762i | 0.299116 | − | 0.954217i | \(-0.403308\pi\) |
−0.384223 | + | 0.923241i | \(0.625530\pi\) | |||||||
\(402\) | −18312.3 | + | 4346.80i | −0.113316 | + | 0.0268979i | ||||
\(403\) | −32399.3 | + | 38612.0i | −0.199492 | + | 0.237745i | ||||
\(404\) | −75901.4 | + | 80562.7i | −0.465036 | + | 0.493595i | ||||
\(405\) | 21333.7 | − | 120989.i | 0.130064 | − | 0.737628i | ||||
\(406\) | 105017. | − | 209288.i | 0.637102 | − | 1.26967i | ||||
\(407\) | 216645. | − | 125080.i | 1.30786 | − | 0.755092i | ||||
\(408\) | 6751.86 | − | 3907.56i | 0.0405605 | − | 0.0234739i | ||||
\(409\) | −107372. | + | 39080.1i | −0.641865 | + | 0.233620i | −0.642387 | − | 0.766380i | \(-0.722056\pi\) |
0.000522548 | 1.00000i | \(0.499834\pi\) | ||||||||
\(410\) | 124859. | − | 82183.1i | 0.742766 | − | 0.488894i | ||||
\(411\) | 178659. | + | 103149.i | 1.05765 | + | 0.610633i | ||||
\(412\) | 125002. | + | 7193.47i | 0.736412 | + | 0.0423783i | ||||
\(413\) | 308534. | − | 258891.i | 1.80885 | − | 1.51781i | ||||
\(414\) | 36085.9 | + | 26845.5i | 0.210541 | + | 0.156629i | ||||
\(415\) | 170255. | − | 30020.5i | 0.988561 | − | 0.174310i | ||||
\(416\) | 9839.16 | − | 174136.i | 0.0568553 | − | 1.00624i | ||||
\(417\) | −128920. | −0.741394 | ||||||||
\(418\) | −196471. | + | 202562.i | −1.12446 | + | 1.15932i | ||||
\(419\) | − | 74769.1i | − | 0.425887i | −0.977065 | − | 0.212943i | \(-0.931695\pi\) | ||
0.977065 | − | 0.212943i | \(-0.0683050\pi\) | |||||||
\(420\) | −190919. | − | 45108.7i | −1.08231 | − | 0.255718i | ||||
\(421\) | 11236.6 | + | 63726.2i | 0.0633975 | + | 0.359545i | 0.999959 | + | 0.00904225i | \(0.00287828\pi\) |
−0.936562 | + | 0.350503i | \(0.886011\pi\) | |||||||
\(422\) | −194052. | − | 144361.i | −1.08966 | − | 0.810637i | ||||
\(423\) | 599.214 | + | 714.116i | 0.00334889 | + | 0.00399106i | ||||
\(424\) | −245040. | + | 255.096i | −1.36303 | + | 0.00141897i | ||||
\(425\) | −2187.05 | + | 3788.08i | −0.0121082 | + | 0.0209721i | ||||
\(426\) | 118951. | − | 78294.3i | 0.655463 | − | 0.431431i | ||||
\(427\) | −29517.4 | − | 81098.5i | −0.161891 | − | 0.444792i | ||||
\(428\) | 50087.6 | + | 99560.3i | 0.273428 | + | 0.543499i | ||||
\(429\) | −159647. | − | 276516.i | −0.867452 | − | 1.50247i | ||||
\(430\) | −3101.90 | + | 6181.74i | −0.0167761 | + | 0.0334329i | ||||
\(431\) | −11471.9 | − | 2022.80i | −0.0617560 | − | 0.0108892i | 0.142685 | − | 0.989768i | \(-0.454426\pi\) |
−0.204441 | + | 0.978879i | \(0.565538\pi\) | |||||||
\(432\) | −137994. | − | 102435.i | −0.739421 | − | 0.548885i | ||||
\(433\) | 74306.9 | + | 62350.9i | 0.396327 | + | 0.332558i | 0.819072 | − | 0.573691i | \(-0.194489\pi\) |
−0.422745 | + | 0.906249i | \(0.638933\pi\) | |||||||
\(434\) | 87853.7 | − | 20853.9i | 0.466423 | − | 0.110715i | ||||
\(435\) | −42188.4 | + | 115912.i | −0.222954 | + | 0.612561i | ||||
\(436\) | 190820. | − | 22437.9i | 1.00381 | − | 0.118035i | ||||
\(437\) | −365337. | − | 47959.4i | −1.91307 | − | 0.251137i | ||||
\(438\) | −163524. | + | 9581.11i | −0.852378 | + | 0.0499422i | ||||
\(439\) | 11111.6 | − | 30528.8i | 0.0576562 | − | 0.158409i | −0.907521 | − | 0.420008i | \(-0.862027\pi\) |
0.965177 | + | 0.261598i | \(0.0842496\pi\) | |||||||
\(440\) | −71882.7 | − | 196858.i | −0.371295 | − | 1.01683i | ||||
\(441\) | 28842.0 | + | 24201.4i | 0.148303 | + | 0.124441i | ||||
\(442\) | −5943.20 | − | 6295.05i | −0.0304212 | − | 0.0322221i | ||||
\(443\) | 191311. | + | 33733.2i | 0.974836 | + | 0.171890i | 0.638306 | − | 0.769783i | \(-0.279636\pi\) |
0.336530 | + | 0.941673i | \(0.390747\pi\) | |||||||
\(444\) | 180455. | + | 77692.2i | 0.915383 | + | 0.394105i | ||||
\(445\) | 47476.3 | + | 82231.4i | 0.239749 | + | 0.415258i | ||||
\(446\) | 245800. | − | 106129.i | 1.23570 | − | 0.533536i | ||||
\(447\) | −20173.3 | − | 55425.6i | −0.100963 | − | 0.277393i | ||||
\(448\) | −200338. | + | 239766.i | −0.998177 | + | 1.19462i | ||||
\(449\) | −39010.4 | + | 67568.0i | −0.193503 | + | 0.335157i | −0.946409 | − | 0.322971i | \(-0.895318\pi\) |
0.752906 | + | 0.658128i | \(0.228652\pi\) | |||||||
\(450\) | −15066.3 | − | 1755.69i | −0.0744013 | − | 0.00867009i | ||||
\(451\) | −280147. | − | 333866.i | −1.37731 | − | 1.64142i | ||||
\(452\) | 107085. | + | 70324.3i | 0.524144 | + | 0.344214i | ||||
\(453\) | 26496.3 | + | 150268.i | 0.129119 | + | 0.732269i | ||||
\(454\) | −258498. | − | 77291.5i | −1.25414 | − | 0.374990i | ||||
\(455\) | 217708.i | 1.05160i | ||||||||
\(456\) | −219770. | − | 28617.5i | −1.05691 | − | 0.137626i | ||||
\(457\) | 391885. | 1.87640 | 0.938201 | − | 0.346092i | \(-0.112491\pi\) | ||||
0.938201 | + | 0.346092i | \(0.112491\pi\) | |||||||
\(458\) | −39754.0 | + | 132956.i | −0.189518 | + | 0.633834i | ||||
\(459\) | −8400.86 | + | 1481.30i | −0.0398748 | + | 0.00703100i | ||||
\(460\) | 150214. | − | 228734.i | 0.709895 | − | 1.08098i | ||||
\(461\) | 223178. | − | 187269.i | 1.05015 | − | 0.881178i | 0.0570379 | − | 0.998372i | \(-0.481834\pi\) |
0.993109 | + | 0.117194i | \(0.0373900\pi\) | |||||||
\(462\) | −66206.2 | + | 568140.i | −0.310181 | + | 2.66178i | ||||
\(463\) | −251919. | − | 145445.i | −1.17516 | − | 0.678481i | −0.220273 | − | 0.975438i | \(-0.570695\pi\) |
−0.954891 | + | 0.296957i | \(0.904028\pi\) | |||||||
\(464\) | 135017. | + | 142712.i | 0.627123 | + | 0.662865i | ||||
\(465\) | −44697.3 | + | 16268.5i | −0.206716 | + | 0.0752386i | ||||
\(466\) | 111636. | + | 258554.i | 0.514081 | + | 1.19064i | ||||
\(467\) | 303912. | − | 175464.i | 1.39352 | − | 0.804550i | 0.399819 | − | 0.916594i | \(-0.369073\pi\) |
0.993703 | + | 0.112044i | \(0.0357396\pi\) | |||||||
\(468\) | 11871.7 | − | 27574.3i | 0.0542027 | − | 0.125896i | ||||
\(469\) | 6497.40 | − | 36848.6i | 0.0295389 | − | 0.167523i | ||||
\(470\) | 4124.19 | − | 3893.68i | 0.0186699 | − | 0.0176264i | ||||
\(471\) | −180556. | + | 215179.i | −0.813900 | + | 0.969969i | ||||
\(472\) | 115906. | + | 317420.i | 0.520260 | + | 1.42479i | ||||
\(473\) | 18949.7 | + | 6897.11i | 0.0846992 | + | 0.0308280i | ||||
\(474\) | 1453.48 | + | 24806.9i | 0.00646921 | + | 0.110412i | ||||
\(475\) | 114790. | − | 47597.4i | 0.508763 | − | 0.210958i | ||||
\(476\) | 1811.15 | + | 15402.7i | 0.00799357 | + | 0.0679802i | ||||
\(477\) | −39634.2 | − | 14425.7i | −0.174194 | − | 0.0634015i | ||||
\(478\) | −34195.0 | − | 144057.i | −0.149660 | − | 0.630492i | ||||
\(479\) | −268757. | + | 320292.i | −1.17136 | + | 1.39597i | −0.270017 | + | 0.962856i | \(0.587029\pi\) |
−0.901340 | + | 0.433113i | \(0.857415\pi\) | |||||||
\(480\) | 90206.0 | − | 137671.i | 0.391519 | − | 0.597531i | ||||
\(481\) | 37861.2 | − | 214721.i | 0.163645 | − | 0.928080i | ||||
\(482\) | 103825. | + | 52097.5i | 0.446895 | + | 0.224245i | ||||
\(483\) | −646808. | + | 373435.i | −2.77256 | + | 1.60074i | ||||
\(484\) | −336593. | + | 169336.i | −1.43686 | + | 0.722867i | ||||
\(485\) | 21788.7 | − | 7930.43i | 0.0926291 | − | 0.0337142i | ||||
\(486\) | −35087.6 | − | 53307.8i | −0.148553 | − | 0.225693i | ||||
\(487\) | −124027. | − | 71606.9i | −0.522947 | − | 0.301924i | 0.215193 | − | 0.976572i | \(-0.430962\pi\) |
−0.738140 | + | 0.674648i | \(0.764295\pi\) | |||||||
\(488\) | 72408.6 | − | 75.3803i | 0.304054 | − | 0.000316532i | ||||
\(489\) | 148121. | − | 124288.i | 0.619439 | − | 0.519771i | ||||
\(490\) | 136731. | − | 183795.i | 0.569477 | − | 0.765495i | ||||
\(491\) | 411654. | − | 72585.6i | 1.70753 | − | 0.301084i | 0.767217 | − | 0.641388i | \(-0.221641\pi\) |
0.940315 | + | 0.340304i | \(0.110530\pi\) | |||||||
\(492\) | 78706.3 | − | 333118.i | 0.325147 | − | 1.37616i | ||||
\(493\) | 9751.59 | 0.0401219 | ||||||||
\(494\) | 25173.1 | + | 244660.i | 0.103153 | + | 1.00256i | ||||
\(495\) | − | 36072.8i | − | 0.147221i | ||||||
\(496\) | −8690.48 | + | 75257.6i | −0.0353248 | + | 0.305905i | ||||
\(497\) | 49161.0 | + | 278806.i | 0.199025 | + | 1.12873i | ||||
\(498\) | 236293. | − | 317627.i | 0.952779 | − | 1.28073i | ||||
\(499\) | −127724. | − | 152215.i | −0.512944 | − | 0.611303i | 0.445953 | − | 0.895056i | \(-0.352865\pi\) |
−0.958897 | + | 0.283753i | \(0.908420\pi\) | |||||||
\(500\) | −14928.9 | + | 259421.i | −0.0597156 | + | 1.03768i | ||||
\(501\) | 9052.63 | − | 15679.6i | 0.0360661 | − | 0.0624683i | ||||
\(502\) | −165644. | − | 251659.i | −0.657307 | − | 0.998632i | ||||
\(503\) | −21526.7 | − | 59144.2i | −0.0850828 | − | 0.233763i | 0.889854 | − | 0.456246i | \(-0.150806\pi\) |
−0.974937 | + | 0.222483i | \(0.928584\pi\) | |||||||
\(504\) | −46547.1 | + | 26938.6i | −0.183245 | + | 0.106051i | ||||
\(505\) | 57958.7 | + | 100387.i | 0.227267 | + | 0.393638i | ||||
\(506\) | −713129. | − | 357837.i | −2.78527 | − | 1.39760i | ||||
\(507\) | −4251.49 | − | 749.653i | −0.0165396 | − | 0.00291638i | ||||
\(508\) | −338223. | − | 318654.i | −1.31062 | − | 1.23479i | ||||
\(509\) | 250005. | + | 209779.i | 0.964968 | + | 0.809704i | 0.981754 | − | 0.190155i | \(-0.0608991\pi\) |
−0.0167865 | + | 0.999859i | \(0.505344\pi\) | |||||||
\(510\) | −1886.84 | − | 7948.91i | −0.00725428 | − | 0.0305610i | ||||
\(511\) | 111378. | − | 306009.i | 0.426539 | − | 1.17191i | ||||
\(512\) | −131780. | − | 226613.i | −0.502702 | − | 0.864460i | ||||
\(513\) | 215006. | + | 111823.i | 0.816988 | + | 0.424911i | ||||
\(514\) | 26438.4 | + | 451233.i | 0.100071 | + | 1.70795i | ||||
\(515\) | 44847.8 | − | 123218.i | 0.169094 | − | 0.464581i | ||||
\(516\) | 4552.82 | + | 15169.2i | 0.0170994 | + | 0.0569721i | ||||
\(517\) | −12668.3 | − | 10629.9i | −0.0473954 | − | 0.0397695i | ||||
\(518\) | −284010. | + | 268136.i | −1.05846 | + | 0.999299i | ||||
\(519\) | 59700.4 | + | 10526.8i | 0.221637 | + | 0.0390806i | ||||
\(520\) | −171707. | − | 62293.9i | −0.635011 | − | 0.230377i | ||||
\(521\) | −46032.9 | − | 79731.3i | −0.169587 | − | 0.293733i | 0.768688 | − | 0.639624i | \(-0.220910\pi\) |
−0.938275 | + | 0.345891i | \(0.887577\pi\) | |||||||
\(522\) | 13404.6 | + | 31045.6i | 0.0491940 | + | 0.113936i | ||||
\(523\) | 168889. | + | 464018.i | 0.617443 | + | 1.69641i | 0.713159 | + | 0.701002i | \(0.247264\pi\) |
−0.0957159 | + | 0.995409i | \(0.530514\pi\) | |||||||
\(524\) | −92522.3 | + | 68980.2i | −0.336964 | + | 0.251224i | ||||
\(525\) | 125940. | − | 218135.i | 0.456926 | − | 0.791420i | ||||
\(526\) | −16305.6 | + | 139924.i | −0.0589338 | + | 0.505733i | ||||
\(527\) | 2417.11 | + | 2880.60i | 0.00870312 | + | 0.0103720i | ||||
\(528\) | −429150. | − | 214782.i | −1.53936 | − | 0.770424i | ||||
\(529\) | −132317. | − | 750405.i | −0.472828 | − | 2.68154i | ||||
\(530\) | −73514.6 | + | 245866.i | −0.261711 | + | 0.875281i | ||||
\(531\) | 58164.8i | 0.206287i | ||||||||
\(532\) | 225422. | − | 378566.i | 0.796478 | − | 1.33757i | ||||
\(533\) | −379860. | −1.33712 | ||||||||
\(534\) | 208319. | + | 62287.8i | 0.730543 | + | 0.218434i | ||||
\(535\) | 114944. | − | 20267.8i | 0.401587 | − | 0.0708106i | ||||
\(536\) | 27203.5 | + | 15668.2i | 0.0946880 | + | 0.0545368i | ||||
\(537\) | −29071.8 | + | 24394.1i | −0.100815 | + | 0.0845934i | ||||
\(538\) | 373453. | + | 43519.1i | 1.29024 | + | 0.150354i | ||||
\(539\) | −578431. | − | 333957.i | −1.99101 | − | 1.14951i | ||||
\(540\) | −144292. | + | 107577.i | −0.494829 | + | 0.368921i | ||||
\(541\) | 188048. | − | 68443.9i | 0.642502 | − | 0.233852i | −0.000161620 | − | 1.00000i | \(-0.500051\pi\) |
0.642664 | + | 0.766148i | \(0.277829\pi\) | |||||||
\(542\) | −113691. | + | 49088.1i | −0.387013 | + | 0.167100i | ||||
\(543\) | −222004. | + | 128174.i | −0.752941 | + | 0.434711i | ||||
\(544\) | −12666.4 | − | 2978.79i | −0.0428011 | − | 0.0100656i | ||||
\(545\) | 34940.8 | − | 198159.i | 0.117636 | − | 0.667146i | ||||
\(546\) | 342237. | + | 362498.i | 1.14800 | + | 1.21596i | ||||
\(547\) | 67562.5 | − | 80517.9i | 0.225804 | − | 0.269102i | −0.641233 | − | 0.767346i | \(-0.721577\pi\) |
0.867037 | + | 0.498243i | \(0.166021\pi\) | |||||||
\(548\) | −98917.1 | − | 329573.i | −0.329390 | − | 1.09747i | ||||
\(549\) | 11711.8 | + | 4262.75i | 0.0388579 | + | 0.0141431i | ||||
\(550\) | 268620. | − | 15738.9i | 0.888001 | − | 0.0520294i | ||||
\(551\) | −219852. | − | 168569.i | −0.724149 | − | 0.555231i | ||||
\(552\) | −109455. | − | 616993.i | −0.359217 | − | 2.02489i | ||||
\(553\) | −46422.4 | − | 16896.4i | −0.151802 | − | 0.0552513i | ||||
\(554\) | −449846. | + | 106780.i | −1.46570 | + | 0.347914i | ||||
\(555\) | 132257. | − | 157618.i | 0.429370 | − | 0.511704i | ||||
\(556\) | 156513. | + | 147457.i | 0.506292 | + | 0.476998i | ||||
\(557\) | 49299.6 | − | 279592.i | 0.158903 | − | 0.901185i | −0.796227 | − | 0.604998i | \(-0.793174\pi\) |
0.955130 | − | 0.296187i | \(-0.0957151\pi\) | |||||||
\(558\) | −5848.25 | + | 11654.9i | −0.0187827 | + | 0.0374318i | ||||
\(559\) | 15221.3 | − | 8788.02i | 0.0487111 | − | 0.0281234i | ||||
\(560\) | 180187. | + | 273134.i | 0.574575 | + | 0.870963i | ||||
\(561\) | −22383.9 | + | 8147.08i | −0.0711230 | + | 0.0258867i | ||||
\(562\) | −34478.0 | + | 22693.7i | −0.109162 | + | 0.0718510i | ||||
\(563\) | 309065. | + | 178439.i | 0.975065 | + | 0.562954i | 0.900777 | − | 0.434283i | \(-0.142998\pi\) |
0.0742885 | + | 0.997237i | \(0.476331\pi\) | |||||||
\(564\) | 746.180 | − | 12966.4i | 0.00234577 | − | 0.0407627i | ||||
\(565\) | 102778. | − | 86240.9i | 0.321961 | − | 0.270157i | ||||
\(566\) | −174541. | − | 129847.i | −0.544835 | − | 0.405321i | ||||
\(567\) | 550791. | − | 97119.4i | 1.71325 | − | 0.302092i | ||||
\(568\) | −233962. | − | 41002.7i | −0.725185 | − | 0.127091i | ||||
\(569\) | −246248. | −0.760585 | −0.380292 | − | 0.924866i | \(-0.624177\pi\) | ||||
−0.380292 | + | 0.924866i | \(0.624177\pi\) | |||||||
\(570\) | −94867.9 | + | 211827.i | −0.291991 | + | 0.651975i | ||||
\(571\) | 48281.4i | 0.148084i | 0.997255 | + | 0.0740418i | \(0.0235898\pi\) | ||||
−0.997255 | + | 0.0740418i | \(0.976410\pi\) | |||||||
\(572\) | −122460. | + | 518301.i | −0.374284 | + | 1.58413i | ||||
\(573\) | 57713.0 | + | 327307.i | 0.175778 | + | 0.996886i | ||||
\(574\) | 545973. | + | 406168.i | 1.65710 | + | 1.23277i | ||||
\(575\) | 225845. | + | 269152.i | 0.683086 | + | 0.814070i | ||||
\(576\) | −7927.84 | − | 44420.0i | −0.0238952 | − | 0.133886i | ||||
\(577\) | −205221. | + | 355453.i | −0.616411 | + | 1.06766i | 0.373724 | + | 0.927540i | \(0.378081\pi\) |
−0.990135 | + | 0.140115i | \(0.955253\pi\) | |||||||
\(578\) | 278520. | − | 183324.i | 0.833682 | − | 0.548736i | ||||
\(579\) | −85656.5 | − | 235339.i | −0.255507 | − | 0.702001i | ||||
\(580\) | 183797. | − | 92465.9i | 0.546363 | − | 0.274869i | ||||
\(581\) | 393512. | + | 681583.i | 1.16575 | + | 2.01914i | ||||
\(582\) | 23812.9 | − | 47456.5i | 0.0703018 | − | 0.140104i | ||||
\(583\) | 736859. | + | 129928.i | 2.16794 | + | 0.382266i | ||||
\(584\) | 209482. | + | 175405.i | 0.614215 | + | 0.514299i | ||||
\(585\) | −24084.6 | − | 20209.4i | −0.0703765 | − | 0.0590529i | ||||
\(586\) | −367321. | + | 87191.3i | −1.06967 | + | 0.253909i | ||||
\(587\) | 50584.4 | − | 138979.i | 0.146805 | − | 0.403343i | −0.844394 | − | 0.535722i | \(-0.820039\pi\) |
0.991199 | + | 0.132379i | \(0.0422617\pi\) | |||||||
\(588\) | −61259.5 | − | 520972.i | −0.177182 | − | 1.50682i | ||||
\(589\) | −4699.53 | − | 106727.i | −0.0135464 | − | 0.307640i | ||||
\(590\) | 353285. | − | 20699.5i | 1.01489 | − | 0.0594643i | ||||
\(591\) | 29917.1 | − | 82196.7i | 0.0856535 | − | 0.235331i | ||||
\(592\) | −130215. | − | 300723.i | −0.371549 | − | 0.858071i | ||||
\(593\) | −88822.1 | − | 74530.6i | −0.252587 | − | 0.211946i | 0.507698 | − | 0.861535i | \(-0.330497\pi\) |
−0.760286 | + | 0.649589i | \(0.774941\pi\) | |||||||
\(594\) | 360249. | + | 381577.i | 1.02101 | + | 1.08146i | ||||
\(595\) | 15995.1 | + | 2820.36i | 0.0451806 | + | 0.00796656i | ||||
\(596\) | −38904.1 | + | 90362.3i | −0.109522 | + | 0.254387i | ||||
\(597\) | −255888. | − | 443211.i | −0.717962 | − | 1.24355i | ||||
\(598\) | −638438. | + | 275658.i | −1.78532 | + | 0.770847i | ||||
\(599\) | −124798. | − | 342880.i | −0.347820 | − | 0.955628i | −0.983055 | − | 0.183309i | \(-0.941319\pi\) |
0.635235 | − | 0.772319i | \(-0.280903\pi\) | |||||||
\(600\) | 136008. | + | 161746.i | 0.377800 | + | 0.449294i | ||||
\(601\) | −54331.8 | + | 94105.4i | −0.150420 | + | 0.260535i | −0.931382 | − | 0.364044i | \(-0.881396\pi\) |
0.780962 | + | 0.624578i | \(0.214729\pi\) | |||||||
\(602\) | −31274.2 | − | 3644.43i | −0.0862966 | − | 0.0100563i | ||||
\(603\) | 3473.35 | + | 4139.37i | 0.00955242 | + | 0.0113841i | ||||
\(604\) | 139708. | − | 212737.i | 0.382954 | − | 0.583134i | ||||
\(605\) | 68521.0 | + | 388602.i | 0.187203 | + | 1.06168i | ||||
\(606\) | 254314. | + | 76040.4i | 0.692508 | + | 0.207061i | ||||
\(607\) | 701001.i | 1.90257i | 0.308307 | + | 0.951287i | \(0.400238\pi\) | ||||
−0.308307 | + | 0.951287i | \(0.599762\pi\) | |||||||
\(608\) | 234075. | + | 286112.i | 0.633210 | + | 0.773980i | ||||
\(609\) | −561541. | −1.51407 | ||||||||
\(610\) | 21723.4 | − | 72652.9i | 0.0583805 | − | 0.195251i | ||||
\(611\) | −14194.5 | + | 2502.87i | −0.0380222 | + | 0.00670435i | ||||
\(612\) | −1872.09 | − | 1229.44i | −0.00499833 | − | 0.00328249i | ||||
\(613\) | 140170. | − | 117617.i | 0.373022 | − | 0.313002i | −0.436934 | − | 0.899494i | \(-0.643936\pi\) |
0.809956 | + | 0.586491i | \(0.199491\pi\) | |||||||
\(614\) | 62929.8 | − | 540024.i | 0.166924 | − | 1.43244i | ||||
\(615\) | −310442. | − | 179234.i | −0.820788 | − | 0.473882i | ||||
\(616\) | 730208. | − | 614014.i | 1.92435 | − | 1.61814i | ||||
\(617\) | 551266. | − | 200644.i | 1.44807 | − | 0.527056i | 0.506021 | − | 0.862521i | \(-0.331116\pi\) |
0.942052 | + | 0.335466i | \(0.108894\pi\) | |||||||
\(618\) | −119025. | − | 275667.i | −0.311645 | − | 0.721786i | ||||
\(619\) | 299774. | − | 173074.i | 0.782370 | − | 0.451701i | −0.0548998 | − | 0.998492i | \(-0.517484\pi\) |
0.837269 | + | 0.546791i | \(0.184151\pi\) | |||||||
\(620\) | 72871.5 | + | 31373.7i | 0.189572 | + | 0.0816174i | ||||
\(621\) | −118986. | + | 674805.i | −0.308542 | + | 1.74983i | ||||
\(622\) | −25645.5 | + | 24212.1i | −0.0662872 | + | 0.0625823i | ||||
\(623\) | −277852. | + | 331132.i | −0.715877 | + | 0.853149i | ||||
\(624\) | −383829. | + | 166200.i | −0.985754 | + | 0.426837i | ||||
\(625\) | 53552.0 | + | 19491.3i | 0.137093 | + | 0.0498978i | ||||
\(626\) | −12785.3 | − | 218210.i | −0.0326259 | − | 0.556835i | ||||
\(627\) | 645484. | + | 203257.i | 1.64191 | + | 0.517023i | ||||
\(628\) | 465320. | − | 54715.5i | 1.17987 | − | 0.138737i | ||||
\(629\) | −15285.2 | − | 5563.34i | −0.0386339 | − | 0.0140616i | ||||
\(630\) | 13007.8 | + | 54799.6i | 0.0327736 | + | 0.138069i | ||||
\(631\) | −422804. | + | 503878.i | −1.06189 | + | 1.26551i | −0.0991561 | + | 0.995072i | \(0.531614\pi\) |
−0.962736 | + | 0.270442i | \(0.912830\pi\) | |||||||
\(632\) | 26609.3 | − | 31778.8i | 0.0666192 | − | 0.0795617i | ||||
\(633\) | −100718. | + | 571199.i | −0.251361 | + | 1.42554i | ||||
\(634\) | 519495. | + | 260674.i | 1.29242 | + | 0.648514i | ||||
\(635\) | −421453. | + | 243326.i | −1.04521 | + | 0.603450i | ||||
\(636\) | 264095. | + | 524948.i | 0.652899 | + | 1.29778i | ||||
\(637\) | −547031. | + | 199103.i | −1.34813 | + | 0.490681i | ||||
\(638\) | −329817. | − | 501084.i | −0.810274 | − | 1.23103i | ||||
\(639\) | −35407.3 | − | 20442.4i | −0.0867144 | − | 0.0500646i | ||||
\(640\) | −266979. | + | 63960.6i | −0.651805 | + | 0.156154i | ||||
\(641\) | −71956.7 | + | 60378.8i | −0.175128 | + | 0.146950i | −0.726138 | − | 0.687549i | \(-0.758687\pi\) |
0.551011 | + | 0.834498i | \(0.314242\pi\) | |||||||
\(642\) | 159528. | − | 214439.i | 0.387051 | − | 0.520276i | ||||
\(643\) | −652434. | + | 115042.i | −1.57803 | + | 0.278249i | −0.892928 | − | 0.450200i | \(-0.851353\pi\) |
−0.685101 | + | 0.728449i | \(0.740242\pi\) | |||||||
\(644\) | 1.21238e6 | + | 286450.i | 2.92325 | + | 0.690680i | ||||
\(645\) | 16586.2 | 0.0398684 | ||||||||
\(646\) | 18301.3 | + | 1320.04i | 0.0438548 | + | 0.00316317i | ||||
\(647\) | 218119.i | 0.521057i | 0.965466 | + | 0.260529i | \(0.0838969\pi\) | ||||
−0.965466 | + | 0.260529i | \(0.916103\pi\) | |||||||
\(648\) | −81002.4 | + | 462200.i | −0.192907 | + | 1.10073i | ||||
\(649\) | −179176. | − | 1.01616e6i | −0.425393 | − | 2.41252i | ||||
\(650\) | 139983. | − | 188166.i | 0.331321 | − | 0.445364i | ||||
\(651\) | −139188. | − | 165878.i | −0.328428 | − | 0.391405i | ||||
\(652\) | −321983. | − | 18529.1i | −0.757421 | − | 0.0435873i | ||||
\(653\) | −355593. | + | 615904.i | −0.833924 | + | 1.44440i | 0.0609799 | + | 0.998139i | \(0.480577\pi\) |
−0.894904 | + | 0.446259i | \(0.852756\pi\) | |||||||
\(654\) | −253327. | − | 384874.i | −0.592279 | − | 0.899836i | ||||
\(655\) | 41336.9 | + | 113572.i | 0.0963509 | + | 0.264722i | ||||
\(656\) | −476568. | + | 314392.i | −1.10743 | + | 0.730574i | ||||
\(657\) | 23514.2 | + | 40727.8i | 0.0544753 | + | 0.0943540i | ||||
\(658\) | 23078.0 | + | 11580.2i | 0.0533023 | + | 0.0267463i | ||||
\(659\) | −154322. | − | 27211.2i | −0.355351 | − | 0.0626580i | −0.00687683 | − | 0.999976i | \(-0.502189\pi\) |
−0.348474 | + | 0.937318i | \(0.613300\pi\) | |||||||
\(660\) | −344637. | + | 365802.i | −0.791178 | + | 0.839766i | ||||
\(661\) | 220169. | + | 184744.i | 0.503911 | + | 0.422831i | 0.858980 | − | 0.512009i | \(-0.171098\pi\) |
−0.355070 | + | 0.934840i | \(0.615543\pi\) | |||||||
\(662\) | −127549. | − | 537340.i | −0.291045 | − | 1.22612i | ||||
\(663\) | −7100.80 | + | 19509.3i | −0.0161540 | + | 0.0443828i | ||||
\(664\) | −650165. | + | 115340.i | −1.47464 | + | 0.261603i | ||||
\(665\) | −311860. | − | 340081.i | −0.705206 | − | 0.769023i | ||||
\(666\) | −3299.29 | − | 56310.0i | −0.00743827 | − | 0.126951i | ||||
\(667\) | 267906. | − | 736065.i | 0.602185 | − | 1.65449i | ||||
\(668\) | −28924.3 | + | 8681.25i | −0.0648202 | + | 0.0194549i | ||||
\(669\) | −491844. | − | 412706.i | −1.09894 | − | 0.922122i | ||||
\(670\) | 23905.9 | − | 22569.7i | 0.0532544 | − | 0.0502779i | ||||
\(671\) | −217740. | − | 38393.5i | −0.483608 | − | 0.0852731i | ||||
\(672\) | 729388. | + | 171532.i | 1.61518 | + | 0.379845i | ||||
\(673\) | 319614. | + | 553588.i | 0.705661 | + | 1.22224i | 0.966452 | + | 0.256846i | \(0.0826832\pi\) |
−0.260791 | + | 0.965395i | \(0.583984\pi\) | |||||||
\(674\) | −231186. | − | 535438.i | −0.508911 | − | 1.17866i | ||||
\(675\) | −79036.7 | − | 217151.i | −0.173469 | − | 0.476601i | ||||
\(676\) | 4304.00 | + | 5772.91i | 0.00941844 | + | 0.0126328i | ||||
\(677\) | −9785.69 | + | 16949.3i | −0.0213508 | + | 0.0369807i | −0.876503 | − | 0.481396i | \(-0.840130\pi\) |
0.855153 | + | 0.518376i | \(0.173463\pi\) | |||||||
\(678\) | 35561.1 | − | 305163.i | 0.0773599 | − | 0.663854i | ||||
\(679\) | 67850.4 | + | 80860.9i | 0.147168 | + | 0.175388i | ||||
\(680\) | −6801.18 | + | 11808.4i | −0.0147084 | + | 0.0255371i | ||||
\(681\) | 112355. | + | 637199.i | 0.242270 | + | 1.37398i | ||||
\(682\) | 66267.9 | − | 221630.i | 0.142474 | − | 0.476497i | ||||
\(683\) | − | 533819.i | − | 1.14433i | −0.820137 | − | 0.572167i | \(-0.806103\pi\) | ||
0.820137 | − | 0.572167i | \(-0.193897\pi\) | |||||||
\(684\) | 20954.5 | + | 60079.5i | 0.0447884 | + | 0.128415i | ||||
\(685\) | −360361. | −0.767993 | ||||||||
\(686\) | 297242. | + | 88876.1i | 0.631629 | + | 0.188859i | ||||
\(687\) | 327736. | − | 57788.7i | 0.694402 | − | 0.122442i | ||||
\(688\) | 11823.0 | − | 23623.3i | 0.0249777 | − | 0.0499073i | ||||
\(689\) | 499565. | − | 419185.i | 1.05233 | − | 0.883014i | ||||
\(690\) | −651833. | − | 75959.1i | −1.36911 | − | 0.159544i | ||||
\(691\) | −208386. | − | 120312.i | −0.436428 | − | 0.251972i | 0.265653 | − | 0.964069i | \(-0.414412\pi\) |
−0.702081 | + | 0.712097i | \(0.747746\pi\) | |||||||
\(692\) | −60437.7 | − | 81064.4i | −0.126211 | − | 0.169285i | ||||
\(693\) | 154314. | − | 56165.8i | 0.321321 | − | 0.116951i | ||||
\(694\) | 496043. | − | 214176.i | 1.02991 | − | 0.444684i | ||||
\(695\) | 195028. | − | 112599.i | 0.403763 | − | 0.233113i | ||||
\(696\) | 160677. | − | 442889.i | 0.331691 | − | 0.914275i | ||||
\(697\) | −4921.01 | + | 27908.4i | −0.0101295 | + | 0.0574473i | ||||
\(698\) | −98503.2 | − | 104335.i | −0.202181 | − | 0.214150i | ||||
\(699\) | 434122. | − | 517366.i | 0.888499 | − | 1.05887i | ||||
\(700\) | −402396. | + | 120774.i | −0.821216 | + | 0.246477i | ||||
\(701\) | −649485. | − | 236393.i | −1.32170 | − | 0.481060i | −0.417698 | − | 0.908586i | \(-0.637163\pi\) |
−0.904003 | + | 0.427526i | \(0.859385\pi\) | |||||||
\(702\) | 456591. | − | 26752.4i | 0.926517 | − | 0.0542861i | ||||
\(703\) | 248439. | + | 389651.i | 0.502700 | + | 0.788434i | ||||
\(704\) | 275337. | + | 751609.i | 0.555545 | + | 1.51651i | ||||
\(705\) | −12781.5 | − | 4652.08i | −0.0257160 | − | 0.00935985i | ||||
\(706\) | −87227.6 | + | 20705.3i | −0.175003 | + | 0.0415405i | ||||
\(707\) | −339200. | + | 404243.i | −0.678605 | + | 0.808730i | ||||
\(708\) | 555702. | − | 589829.i | 1.10860 | − | 1.17668i | ||||
\(709\) | 1653.83 | − | 9379.36i | 0.00329003 | − | 0.0186587i | −0.983119 | − | 0.182970i | \(-0.941429\pi\) |
0.986409 | + | 0.164311i | \(0.0525401\pi\) | |||||||
\(710\) | −111564. | + | 222334.i | −0.221313 | + | 0.441051i | ||||
\(711\) | 6178.50 | − | 3567.16i | 0.0122221 | − | 0.00705641i | ||||
\(712\) | −181661. | − | 313892.i | −0.358346 | − | 0.619184i | ||||
\(713\) | 283837. | − | 103308.i | 0.558329 | − | 0.203215i | ||||
\(714\) | 31066.4 | − | 20448.1i | 0.0609389 | − | 0.0401104i | ||||
\(715\) | 483020. | + | 278872.i | 0.944829 | + | 0.545497i | ||||
\(716\) | 63195.8 | + | 3636.73i | 0.123271 | + | 0.00709389i | ||||
\(717\) | −271997. | + | 228232.i | −0.529085 | + | 0.443955i | ||||
\(718\) | 199396. | + | 148338.i | 0.386784 | + | 0.287741i | ||||
\(719\) | −228300. | + | 40255.5i | −0.441620 | + | 0.0778695i | −0.390037 | − | 0.920799i | \(-0.627538\pi\) |
−0.0515830 | + | 0.998669i | \(0.516427\pi\) | |||||||
\(720\) | −46942.6 | − | 5420.77i | −0.0905529 | − | 0.0104567i | ||||
\(721\) | 596938. | 1.14831 | ||||||||
\(722\) | −389790. | − | 346123.i | −0.747749 | − | 0.663981i | ||||
\(723\) | − | 278572.i | − | 0.532918i | ||||||
\(724\) | 416124. | + | 98318.2i | 0.793863 | + | 0.187567i | ||||
\(725\) | 45872.3 | + | 260155.i | 0.0872719 | + | 0.494944i | ||||
\(726\) | 724974. | + | 539332.i | 1.37546 | + | 1.02325i | ||||
\(727\) | −531273. | − | 633146.i | −1.00519 | − | 1.19794i | −0.980151 | − | 0.198254i | \(-0.936473\pi\) |
−0.0250408 | − | 0.999686i | \(-0.507972\pi\) | |||||||
\(728\) | −865.655 | − | 831529.i | −0.00163336 | − | 1.56897i | ||||
\(729\) | 220421. | − | 381780.i | 0.414761 | − | 0.718387i | ||||
\(730\) | 239007. | − | 157316.i | 0.448502 | − | 0.295208i | ||||
\(731\) | −448.470 | − | 1232.16i | −0.000839263 | − | 0.00230586i | ||||
\(732\) | −78039.5 | − | 155121.i | −0.145644 | − | 0.289500i | ||||
\(733\) | −302760. | − | 524395.i | −0.563495 | − | 0.976002i | −0.997188 | − | 0.0749412i | \(-0.976123\pi\) |
0.433693 | − | 0.901061i | \(-0.357210\pi\) | |||||||
\(734\) | −212902. | + | 424289.i | −0.395173 | + | 0.787535i | ||||
\(735\) | −541009. | − | 95394.5i | −1.00145 | − | 0.176583i | ||||
\(736\) | −572827. | + | 874242.i | −1.05747 | + | 1.61390i | ||||
\(737\) | −73431.7 | − | 61616.5i | −0.135191 | − | 0.113439i | ||||
\(738\) | −95615.1 | + | 22696.3i | −0.175555 | + | 0.0416717i | ||||
\(739\) | −269817. | + | 741316.i | −0.494061 | + | 1.35742i | 0.402873 | + | 0.915256i | \(0.368012\pi\) |
−0.896934 | + | 0.442165i | \(0.854211\pi\) | |||||||
\(740\) | −340845. | + | 40078.9i | −0.622434 | + | 0.0731900i | ||||
\(741\) | 497333. | − | 317096.i | 0.905755 | − | 0.577503i | ||||
\(742\) | −1.16624e6 | + | 68331.9i | −2.11827 | + | 0.124113i | ||||
\(743\) | −12368.3 | + | 33981.7i | −0.0224044 | + | 0.0615555i | −0.950391 | − | 0.311059i | \(-0.899316\pi\) |
0.927986 | + | 0.372614i | \(0.121539\pi\) | |||||||
\(744\) | 170655. | − | 62314.7i | 0.308300 | − | 0.112576i | ||||
\(745\) | 78926.5 | + | 66227.2i | 0.142204 | + | 0.119323i | ||||
\(746\) | −102480. | − | 108547.i | −0.184146 | − | 0.195047i | ||||
\(747\) | −111931. | − | 19736.5i | −0.200590 | − | 0.0353695i | ||||
\(748\) | 36493.3 | + | 15711.6i | 0.0652244 | + | 0.0280814i | ||||
\(749\) | 265672. | + | 460157.i | 0.473567 | + | 0.820242i | ||||
\(750\) | 572103. | − | 247017.i | 1.01707 | − | 0.439141i | ||||
\(751\) | −243292. | − | 668438.i | −0.431367 | − | 1.18517i | −0.944974 | − | 0.327146i | \(-0.893913\pi\) |
0.513607 | − | 0.858026i | \(-0.328309\pi\) | |||||||
\(752\) | −15736.8 | + | 14888.2i | −0.0278278 | + | 0.0263273i | ||||
\(753\) | −361255. | + | 625712.i | −0.637124 | + | 1.10353i | ||||
\(754\) | −519333. | − | 60518.7i | −0.913489 | − | 0.106450i | ||||
\(755\) | −171328. | − | 204181.i | −0.300562 | − | 0.358196i | ||||
\(756\) | −684864. | − | 449762.i | −1.19829 | − | 0.786935i | ||||
\(757\) | −166071. | − | 941833.i | −0.289802 | − | 1.64355i | −0.687612 | − | 0.726079i | \(-0.741341\pi\) |
0.397810 | − | 0.917468i | \(-0.369770\pi\) | |||||||
\(758\) | −386989. | − | 115710.i | −0.673534 | − | 0.201388i | ||||
\(759\) | 1.91340e6i | 3.32140i | ||||||||
\(760\) | 357457. | − | 148656.i | 0.618867 | − | 0.257368i | ||||
\(761\) | −987739. | −1.70558 | −0.852791 | − | 0.522252i | \(-0.825092\pi\) | ||||
−0.852791 | + | 0.522252i | \(0.825092\pi\) | |||||||
\(762\) | −319238. | + | 1.06768e6i | −0.549799 | + | 1.83878i | ||||
\(763\) | 902097. | − | 159064.i | 1.54955 | − | 0.273227i | ||||
\(764\) | 304304. | − | 463372.i | 0.521340 | − | 0.793858i | ||||
\(765\) | −1796.80 | + | 1507.69i | −0.00307027 | + | 0.00257627i | ||||
\(766\) | −27.3913 | + | 235.055i | −4.66826e−5 | + | 0.000400601i | ||||
\(767\) | −778834. | − | 449660.i | −1.32390 | − | 0.764352i | ||||
\(768\) | −343992. | + | 526190.i | −0.583211 | + | 0.892113i | ||||
\(769\) | 599254. | − | 218111.i | 1.01335 | − | 0.368828i | 0.218630 | − | 0.975808i | \(-0.429841\pi\) |
0.794717 | + | 0.606980i | \(0.207619\pi\) | |||||||
\(770\) | −396060. | − | 917294.i | −0.668004 | − | 1.54713i | ||||
\(771\) | 938744. | − | 541984.i | 1.57921 | − | 0.911755i | ||||
\(772\) | −165189. | + | 383682.i | −0.277170 | + | 0.643780i | ||||
\(773\) | −75230.2 | + | 426652.i | −0.125902 | + | 0.714027i | 0.854866 | + | 0.518849i | \(0.173639\pi\) |
−0.980768 | + | 0.195178i | \(0.937472\pi\) | |||||||
\(774\) | 3306.30 | − | 3121.50i | 0.00551900 | − | 0.00521053i | ||||
\(775\) | −65478.8 | + | 78034.6i | −0.109018 | + | 0.129922i | ||||
\(776\) | −83189.7 | + | 30376.7i | −0.138149 | + | 0.0504449i | ||||
\(777\) | 880189. | + | 320363.i | 1.45792 | + | 0.530640i | ||||
\(778\) | −43121.4 | − | 735965.i | −0.0712415 | − | 1.21590i | ||||
\(779\) | 593379. | − | 544137.i | 0.977816 | − | 0.896672i | ||||
\(780\) | 51154.8 | + | 435039.i | 0.0840809 | + | 0.715054i | ||||
\(781\) | 681548. | + | 248063.i | 1.11736 | + | 0.406687i | ||||
\(782\) | 11981.8 | + | 50477.3i | 0.0195934 | + | 0.0825434i | ||||
\(783\) | −331155. | + | 394655.i | −0.540141 | + | 0.643715i | ||||
\(784\) | −521511. | + | 702544.i | −0.848460 | + | 1.14299i | ||||
\(785\) | 85204.1 | − | 483216.i | 0.138268 | − | 0.784156i | ||||
\(786\) | 247364. | + | 124123.i | 0.400398 | + | 0.200913i | ||||
\(787\) | 92037.6 | − | 53137.9i | 0.148599 | − | 0.0857937i | −0.423857 | − | 0.905729i | \(-0.639324\pi\) |
0.572456 | + | 0.819935i | \(0.305991\pi\) | |||||||
\(788\) | −130336. | + | 65570.5i | −0.209900 | + | 0.105598i | ||||
\(789\) | 317453. | − | 115543.i | 0.509947 | − | 0.185606i | ||||
\(790\) | −23865.2 | − | 36257.9i | −0.0382394 | − | 0.0580963i | ||||
\(791\) | 528951. | + | 305390.i | 0.845401 | + | 0.488093i | ||||
\(792\) | 143.434 | + | 137779.i | 0.000228666 | + | 0.219651i | ||||
\(793\) | −147620. | + | 123868.i | −0.234747 | + | 0.196976i | ||||
\(794\) | −43813.1 | + | 58893.9i | −0.0694966 | + | 0.0934177i | ||||
\(795\) | 606061. | − | 106865.i | 0.958920 | − | 0.169083i | ||||
\(796\) | −196283. | + | 830754.i | −0.309783 | + | 1.31113i | ||||
\(797\) | −350522. | −0.551822 | −0.275911 | − | 0.961183i | \(-0.588979\pi\) | ||||
−0.275911 | + | 0.961183i | \(0.588979\pi\) | |||||||
\(798\) | −1.05387e6 | − | 76013.9i | −1.65494 | − | 0.119368i | ||||
\(799\) | 1075.30i | 0.00168436i | ||||||||
\(800\) | 19884.9 | − | 351929.i | 0.0310701 | − | 0.549889i | ||||
\(801\) | −10840.0 | − | 61476.6i | −0.0168952 | − | 0.0958175i | ||||
\(802\) | 34770.6 | − | 46738.9i | 0.0540585 | − | 0.0726658i | ||||
\(803\) | −536262. | − | 639092.i | −0.831660 | − | 0.991133i | ||||
\(804\) | 4325.24 | − | 75160.1i | 0.00669111 | − | 0.116272i | ||||
\(805\) | 652318. | − | 1.12985e6i | 1.00662 | − | 1.74353i | ||||
\(806\) | −110849. | − | 168411.i | −0.170633 | − | 0.259238i | ||||
\(807\) | −308382. | − | 847272.i | −0.473524 | − | 1.30100i | ||||
\(808\) | −221771. | − | 383196.i | −0.339689 | − | 0.586947i | ||||
\(809\) | −225094. | − | 389874.i | −0.343927 | − | 0.595699i | 0.641231 | − | 0.767348i | \(-0.278424\pi\) |
−0.985158 | + | 0.171648i | \(0.945091\pi\) | |||||||
\(810\) | 439229. | + | 220398.i | 0.669454 | + | 0.335921i | ||||
\(811\) | −682558. | − | 120353.i | −1.03776 | − | 0.182985i | −0.371291 | − | 0.928517i | \(-0.621085\pi\) |
−0.666471 | + | 0.745531i | \(0.732196\pi\) | |||||||
\(812\) | 681728. | + | 642284.i | 1.03395 | + | 0.974125i | ||||
\(813\) | 227494. | + | 190890.i | 0.344183 | + | 0.288804i | ||||
\(814\) | 231102. | + | 973589.i | 0.348782 | + | 1.46936i | ||||
\(815\) | −115520. | + | 317390.i | −0.173918 | + | 0.477835i | ||||
\(816\) | 7238.34 | + | 30353.1i | 0.0108707 | + | 0.0455851i | ||||
\(817\) | −11188.6 | + | 35531.8i | −0.0167622 | + | 0.0532320i | ||||
\(818\) | −26733.5 | − | 456268.i | −0.0399529 | − | 0.681889i | ||||
\(819\) | 48952.7 | − | 134497.i | 0.0729809 | − | 0.200513i | ||||
\(820\) | 171881. | + | 572676.i | 0.255623 | + | 0.851689i | ||||
\(821\) | 367554. | + | 308414.i | 0.545299 | + | 0.457560i | 0.873345 | − | 0.487101i | \(-0.161946\pi\) |
−0.328046 | + | 0.944662i | \(0.606390\pi\) | |||||||
\(822\) | −600024. | + | 566487.i | −0.888025 | + | 0.838391i | ||||
\(823\) | 977936. | + | 172436.i | 1.44381 | + | 0.254583i | 0.840018 | − | 0.542558i | \(-0.182544\pi\) |
0.603793 | + | 0.797141i | \(0.293655\pi\) | |||||||
\(824\) | −170805. | + | 470808.i | −0.251563 | + | 0.693408i | ||||
\(825\) | −322645. | − | 558838.i | −0.474042 | − | 0.821065i | ||||
\(826\) | 638617. | + | 1.47907e6i | 0.936010 | + | 2.16785i | ||||
\(827\) | 189911. | + | 521776.i | 0.277677 | + | 0.762910i | 0.997625 | + | 0.0688823i | \(0.0219433\pi\) |
−0.719948 | + | 0.694028i | \(0.755834\pi\) | |||||||
\(828\) | −144232. | + | 107532.i | −0.210378 | + | 0.156848i | ||||
\(829\) | −421843. | + | 730653.i | −0.613821 | + | 1.06317i | 0.376769 | + | 0.926307i | \(0.377035\pi\) |
−0.990590 | + | 0.136862i | \(0.956298\pi\) | |||||||
\(830\) | −80042.9 | + | 686878.i | −0.116189 | + | 0.997065i | ||||
\(831\) | 712699. | + | 849361.i | 1.03206 | + | 1.22996i | ||||
\(832\) | 656078. | + | 237247.i | 0.947783 | + | 0.342732i | ||||
\(833\) | 7541.48 | + | 42769.9i | 0.0108684 | + | 0.0616379i | ||||
\(834\) | 147727. | − | 494068.i | 0.212388 | − | 0.710321i | ||||
\(835\) | 31626.4i | 0.0453603i | ||||||||
\(836\) | −551156. | − | 985057.i | −0.788609 | − | 1.40945i | ||||
\(837\) | −198663. | −0.283574 | ||||||||
\(838\) | 286542. | + | 85676.6i | 0.408037 | + | 0.122004i | ||||
\(839\) | 869813. | − | 153371.i | 1.23567 | − | 0.217882i | 0.482610 | − | 0.875835i | \(-0.339689\pi\) |
0.753058 | + | 0.657954i | \(0.228578\pi\) | |||||||
\(840\) | 391643. | − | 679979.i | 0.555050 | − | 0.963690i | ||||
\(841\) | −90659.0 | + | 76071.9i | −0.128180 | + | 0.107555i | ||||
\(842\) | −257097. | − | 29959.9i | −0.362638 | − | 0.0422587i | ||||
\(843\) | 85724.3 | + | 49493.0i | 0.120628 | + | 0.0696448i | ||||
\(844\) | 775605. | − | 578253.i | 1.08882 | − | 0.811771i | ||||
\(845\) | 7086.32 | − | 2579.21i | 0.00992446 | − | 0.00361221i | ||||
\(846\) | −3423.37 | + | 1478.11i | −0.00478315 | + | 0.00206522i | ||||
\(847\) | −1.55569e6 | + | 898180.i | −2.16849 | + | 1.25198i | ||||
\(848\) | 279809. | − | 939372.i | 0.389108 | − | 1.30631i | ||||
\(849\) | −90591.3 | + | 513769.i | −0.125681 | + | 0.712775i | ||||
\(850\) | −12011.2 | − | 12722.3i | −0.0166245 | − | 0.0176087i | ||||
\(851\) | −839859. | + | 1.00091e6i | −1.15970 | + | 1.38208i | ||||
\(852\) | 163748. | + | 545578.i | 0.225578 | + | 0.751584i | ||||
\(853\) | 1.07926e6 | + | 392820.i | 1.48330 | + | 0.539878i | 0.951677 | − | 0.307102i | \(-0.0993591\pi\) |
0.531626 | + | 0.846979i | \(0.321581\pi\) | |||||||
\(854\) | 344622. | − | 20191.9i | 0.472527 | − | 0.0276861i | ||||
\(855\) | 66571.8 | − | 2931.38i | 0.0910664 | − | 0.00400995i | ||||
\(856\) | −438945. | + | 77869.1i | −0.599050 | + | 0.106272i | ||||
\(857\) | 654838. | + | 238342.i | 0.891604 | + | 0.324517i | 0.746883 | − | 0.664955i | \(-0.231549\pi\) |
0.144721 | + | 0.989472i | \(0.453772\pi\) | |||||||
\(858\) | 1.24264e6 | − | 294968.i | 1.68800 | − | 0.400682i | ||||
\(859\) | 455961. | − | 543393.i | 0.617933 | − | 0.736424i | −0.362780 | − | 0.931875i | \(-0.618172\pi\) |
0.980714 | + | 0.195451i | \(0.0626169\pi\) | |||||||
\(860\) | −20136.2 | − | 18971.1i | −0.0272258 | − | 0.0256505i | ||||
\(861\) | 283374. | − | 1.60709e6i | 0.382256 | − | 2.16788i | ||||
\(862\) | 20897.5 | − | 41646.3i | 0.0281242 | − | 0.0560483i | ||||
\(863\) | −577348. | + | 333332.i | −0.775204 | + | 0.447564i | −0.834728 | − | 0.550663i | \(-0.814375\pi\) |
0.0595239 | + | 0.998227i | \(0.481042\pi\) | |||||||
\(864\) | 550692. | − | 411462.i | 0.737703 | − | 0.551192i | ||||
\(865\) | −99507.6 | + | 36217.8i | −0.132992 | + | 0.0484050i | ||||
\(866\) | −324098. | + | 213324.i | −0.432156 | + | 0.284448i | ||||
\(867\) | −692497. | − | 399813.i | −0.921254 | − | 0.531887i | ||||
\(868\) | −20750.5 | + | 360583.i | −0.0275415 | + | 0.478592i | ||||
\(869\) | −96951.7 | + | 81352.1i | −0.128385 | + | 0.107728i | ||||
\(870\) | −395872. | − | 294502.i | −0.523018 | − | 0.389090i | ||||
\(871\) | −82278.5 | + | 14507.9i | −0.108455 | + | 0.0191236i | ||||
\(872\) | −132667. | + | 757002.i | −0.174474 | + | 0.995552i | ||||
\(873\) | −15243.9 | −0.0200017 | ||||||||
\(874\) | 602431. | − | 1.34515e6i | 0.788651 | − | 1.76095i | ||||
\(875\) | 1.23885e6i | 1.61809i | ||||||||
\(876\) | 150661. | − | 637660.i | 0.196332 | − | 0.830961i | ||||
\(877\) | 33302.3 | + | 188867.i | 0.0432988 | + | 0.245560i | 0.998773 | − | 0.0495135i | \(-0.0157671\pi\) |
−0.955475 | + | 0.295073i | \(0.904656\pi\) | |||||||
\(878\) | 104265. | + | 77565.9i | 0.135253 | + | 0.100619i | ||||
\(879\) | 581953. | + | 693545.i | 0.753200 | + | 0.897629i | ||||
\(880\) | 836800. | − | 49903.6i | 1.08058 | − | 0.0644417i | ||||
\(881\) | 76108.1 | − | 131823.i | 0.0980570 | − | 0.169840i | −0.812823 | − | 0.582510i | \(-0.802071\pi\) |
0.910880 | + | 0.412671i | \(0.135404\pi\) | |||||||
\(882\) | −125798. | + | 82801.1i | −0.161710 | + | 0.106439i | ||||
\(883\) | −76169.8 | − | 209275.i | −0.0976925 | − | 0.268408i | 0.881214 | − | 0.472718i | \(-0.156727\pi\) |
−0.978906 | + | 0.204310i | \(0.934505\pi\) | |||||||
\(884\) | 30935.1 | − | 15563.1i | 0.0395865 | − | 0.0199155i | ||||
\(885\) | −424337. | − | 734974.i | −0.541782 | − | 0.938394i | ||||
\(886\) | −348497. | + | 694516.i | −0.443948 | + | 0.884738i | ||||
\(887\) | 187888. | + | 33129.8i | 0.238810 | + | 0.0421087i | 0.291772 | − | 0.956488i | \(-0.405755\pi\) |
−0.0529620 | + | 0.998597i | \(0.516866\pi\) | |||||||
\(888\) | −504524. | + | 602542.i | −0.639818 | + | 0.764119i | ||||
\(889\) | −1.69712e6 | − | 1.42405e6i | −2.14738 | − | 1.80186i | ||||
\(890\) | −369542. | + | 87718.6i | −0.466535 | + | 0.110742i | ||||
\(891\) | 490058. | − | 1.34642e6i | 0.617294 | − | 1.69600i | ||||
\(892\) | 125066. | + | 1.06360e6i | 0.157184 | + | 1.33675i | ||||
\(893\) | 18587.9 | − | 24242.9i | 0.0233092 | − | 0.0304006i | ||||
\(894\) | 235527. | − | 13799.9i | 0.294690 | − | 0.0172663i | ||||
\(895\) | 22673.3 | − | 62294.3i | 0.0283053 | − | 0.0777682i | ||||
\(896\) | −689304. | − | 1.04251e6i | −0.858607 | − | 1.29857i | ||||
\(897\) | 1.27751e6 | + | 1.07196e6i | 1.58774 | + | 1.33227i | ||||
\(898\) | −214243. | − | 226927.i | −0.265677 | − | 0.281406i | ||||
\(899\) | 223651. | + | 39435.8i | 0.276727 | + | 0.0487945i | ||||
\(900\) | 23992.6 | − | 55727.5i | 0.0296205 | − | 0.0687993i | ||||
\(901\) | −24325.9 | − | 42133.7i | −0.0299653 | − | 0.0519015i | ||||
\(902\) | 1.60051e6 | − | 691051.i | 1.96718 | − | 0.849370i | ||||
\(903\) | 25824.9 | + | 70953.4i | 0.0316711 | + | 0.0870157i | ||||
\(904\) | −392214. | + | 329803.i | −0.479939 | + | 0.403569i | ||||
\(905\) | 223895. | − | 387798.i | 0.273368 | − | 0.473487i | ||||
\(906\) | −606243. | − | 70646.4i | −0.738568 | − | 0.0860664i | ||||
\(907\) | 185257. | + | 220781.i | 0.225195 | + | 0.268378i | 0.866798 | − | 0.498660i | \(-0.166174\pi\) |
−0.641602 | + | 0.767038i | \(0.721730\pi\) | |||||||
\(908\) | 592417. | − | 902089.i | 0.718548 | − | 1.09415i | ||||
\(909\) | −13233.4 | − | 75050.1i | −0.0160156 | − | 0.0908288i | ||||
\(910\) | −834334. | − | 249468.i | −1.00753 | − | 0.301253i | ||||
\(911\) | − | 480212.i | − | 0.578623i | −0.957235 | − | 0.289312i | \(-0.906574\pi\) | ||
0.957235 | − | 0.289312i | \(-0.0934264\pi\) | |||||||
\(912\) | 361503. | − | 809444.i | 0.434632 | − | 0.973189i | ||||
\(913\) | 2.01627e6 | 2.41884 | ||||||||
\(914\) | −449054. | + | 1.50184e6i | −0.537534 | + | 1.79776i | ||||
\(915\) | −179090. | + | 31578.3i | −0.213909 | + | 0.0377179i | ||||
\(916\) | −463980. | − | 304703.i | −0.552978 | − | 0.363150i | ||||
\(917\) | −421483. | + | 353666.i | −0.501235 | + | 0.420586i | ||||
\(918\) | 3949.54 | − | 33892.5i | 0.00468663 | − | 0.0402177i | ||||
\(919\) | −514834. | − | 297240.i | −0.609588 | − | 0.351946i | 0.163216 | − | 0.986590i | \(-0.447813\pi\) |
−0.772804 | + | 0.634645i | \(0.781146\pi\) | |||||||
\(920\) | 704464. | + | 837775.i | 0.832307 | + | 0.989810i | ||||
\(921\) | −1.22518e6 | + | 445929.i | −1.44438 | + | 0.525710i | ||||
\(922\) | 461945. | + | 1.06989e6i | 0.543410 | + | 1.25857i | ||||
\(923\) | 547453. | − | 316072.i | 0.642604 | − | 0.371008i | ||||
\(924\) | −2.10145e6 | − | 904748.i | −2.46136 | − | 1.05970i | ||||
\(925\) | 76517.2 | − | 433951.i | 0.0894285 | − | 0.507174i | ||||
\(926\) | 846067. | − | 798779.i | 0.986695 | − | 0.931546i | ||||
\(927\) | −55412.6 | + | 66038.1i | −0.0644835 | + | 0.0768485i | ||||
\(928\) | −701638. | + | 353902.i | −0.814736 | + | 0.410948i | ||||
\(929\) | −772452. | − | 281150.i | −0.895035 | − | 0.325766i | −0.146774 | − | 0.989170i | \(-0.546889\pi\) |
−0.748262 | + | 0.663404i | \(0.769111\pi\) | |||||||
\(930\) | −11128.7 | − | 189938.i | −0.0128671 | − | 0.219606i | ||||
\(931\) | 569308. | − | 1.09462e6i | 0.656822 | − | 1.26289i | ||||
\(932\) | −1.11879e6 | + | 131555.i | −1.28801 | + | 0.151453i | ||||
\(933\) | 79479.1 | + | 28928.0i | 0.0913040 | + | 0.0332319i | ||||
\(934\) | 324192. | + | 1.36576e6i | 0.371628 | + | 1.56560i | ||||
\(935\) | 26746.2 | − | 31874.9i | 0.0305942 | − | 0.0364607i | ||||
\(936\) | 92070.8 | + | 77093.4i | 0.105092 | + | 0.0879965i | ||||
\(937\) | −139732. | + | 792460.i | −0.159154 | + | 0.902605i | 0.795736 | + | 0.605644i | \(0.207084\pi\) |
−0.954889 | + | 0.296961i | \(0.904027\pi\) | |||||||
\(938\) | 133772. | + | 67124.5i | 0.152040 | + | 0.0762914i | ||||
\(939\) | −453965. | + | 262097.i | −0.514862 | + | 0.297256i | ||||
\(940\) | 10196.1 | + | 20267.1i | 0.0115393 | + | 0.0229369i | ||||
\(941\) | 419451. | − | 152668.i | 0.473698 | − | 0.172412i | −0.0941286 | − | 0.995560i | \(-0.530006\pi\) |
0.567827 | + | 0.823148i | \(0.307784\pi\) | |||||||
\(942\) | −617745. | − | 938526.i | −0.696158 | − | 1.05766i | ||||
\(943\) | 1.97138e6 | + | 1.13817e6i | 2.21690 | + | 1.27993i | ||||
\(944\) | −1.34928e6 | + | 80465.9i | −1.51411 | + | 0.0902959i | ||||
\(945\) | −657320. | + | 551557.i | −0.736060 | + | 0.617627i | ||||
\(946\) | −48146.3 | + | 64718.6i | −0.0537998 | + | 0.0723180i | ||||
\(947\) | −888959. | + | 156747.i | −0.991247 | + | 0.174784i | −0.645678 | − | 0.763610i | \(-0.723425\pi\) |
−0.345569 | + | 0.938393i | \(0.612314\pi\) | |||||||
\(948\) | −96734.5 | − | 22855.6i | −0.107638 | − | 0.0254317i | ||||
\(949\) | −727134. | −0.807388 | ||||||||
\(950\) | 50874.7 | + | 494456.i | 0.0563708 | + | 0.547873i | ||||
\(951\) | − | 1.39386e6i | − | 1.54119i | ||||||
\(952\) | −61103.9 | − | 10708.7i | −0.0674210 | − | 0.0118158i | ||||
\(953\) | −21147.2 | − | 119932.i | −0.0232845 | − | 0.132053i | 0.970950 | − | 0.239284i | \(-0.0769127\pi\) |
−0.994234 | + | 0.107231i | \(0.965802\pi\) | |||||||
\(954\) | 100700. | − | 135362.i | 0.110646 | − | 0.148731i | ||||
\(955\) | −373177. | − | 444736.i | −0.409175 | − | 0.487635i | ||||
\(956\) | 591262. | + | 34025.4i | 0.646940 | + | 0.0372295i | ||||
\(957\) | −719302. | + | 1.24587e6i | −0.785394 | + | 1.36034i | ||||
\(958\) | −919510. | − | 1.39699e6i | −1.00190 | − | 1.52217i | ||||
\(959\) | −561086. | − | 1.54157e6i | −0.610088 | − | 1.67620i | ||||
\(960\) | 424240. | + | 503456.i | 0.460329 | + | 0.546285i | ||||
\(961\) | −417974. | − | 723952.i | −0.452587 | − | 0.783904i | ||||
\(962\) | 779504. | + | 391143.i | 0.842303 | + | 0.422655i | ||||
\(963\) | −75568.0 | − | 13324.7i | −0.0814864 | − | 0.0143683i | ||||
\(964\) | −318627. | + | 338195.i | −0.342869 | + | 0.363926i | ||||
\(965\) | 335125. | + | 281204.i | 0.359876 | + | 0.301972i | ||||
\(966\) | −689969. | − | 2.90671e6i | −0.739393 | − | 3.11493i | ||||
\(967\) | 131310. | − | 360772.i | 0.140426 | − | 0.385816i | −0.849466 | − | 0.527644i | \(-0.823076\pi\) |
0.989891 | + | 0.141828i | \(0.0452979\pi\) | |||||||
\(968\) | −263259. | − | 1.48398e6i | −0.280953 | − | 1.58372i | ||||
\(969\) | −16854.3 | − | 40647.1i | −0.0179499 | − | 0.0432894i | ||||
\(970\) | 5424.95 | + | 92589.3i | 0.00576571 | + | 0.0984051i | ||||
\(971\) | −19451.4 | + | 53442.3i | −0.0206306 | + | 0.0566822i | −0.949580 | − | 0.313523i | \(-0.898491\pi\) |
0.928950 | + | 0.370206i | \(0.120713\pi\) | |||||||
\(972\) | 244501. | − | 73383.7i | 0.258790 | − | 0.0776725i | ||||
\(973\) | 785343. | + | 658981.i | 0.829533 | + | 0.696061i | ||||
\(974\) | 416543. | − | 393262.i | 0.439079 | − | 0.414537i | ||||
\(975\) | −553875. | − | 97663.1i | −0.582643 | − | 0.102736i | ||||
\(976\) | −82683.0 | + | 277582.i | −0.0867993 | + | 0.291402i | ||||
\(977\) | −514357. | − | 890893.i | −0.538860 | − | 0.933333i | −0.998966 | − | 0.0454687i | \(-0.985522\pi\) |
0.460106 | − | 0.887864i | \(-0.347811\pi\) | |||||||
\(978\) | 306587. | + | 710072.i | 0.320536 | + | 0.742377i | ||||
\(979\) | 378755. | + | 1.04062e6i | 0.395178 | + | 1.08574i | ||||
\(980\) | 547691. | + | 734611.i | 0.570273 | + | 0.764901i | ||||
\(981\) | −66142.9 | + | 114563.i | −0.0687298 | + | 0.119044i | ||||
\(982\) | −193533. | + | 1.66078e6i | −0.200693 | + | 1.72222i | ||||
\(983\) | −1.03521e6 | − | 1.23371e6i | −1.07132 | − | 1.27675i | −0.959099 | − | 0.283072i | \(-0.908647\pi\) |
−0.112225 | − | 0.993683i | \(-0.535798\pi\) | |||||||
\(984\) | 1.18644e6 | + | 683345.i | 1.22534 | + | 0.705748i | ||||
\(985\) | 26532.8 | + | 150475.i | 0.0273471 | + | 0.155093i | ||||
\(986\) | −11174.2 | + | 37371.6i | −0.0114938 | + | 0.0384404i | ||||
\(987\) | − | 61920.6i | − | 0.0635625i | ||||||
\(988\) | −966468. | − | 183879.i | −0.990087 | − | 0.188373i | ||||
\(989\) | −105326. | −0.107682 | ||||||||
\(990\) | 138244. | + | 41335.3i | 0.141051 | + | 0.0421745i | ||||
\(991\) | −1.13685e6 | + | 200458.i | −1.15760 | + | 0.204116i | −0.719290 | − | 0.694710i | \(-0.755533\pi\) |
−0.438307 | + | 0.898825i | \(0.644422\pi\) | |||||||
\(992\) | −278455. | − | 119541.i | −0.282965 | − | 0.121477i | ||||
\(993\) | −1.01456e6 | + | 851317.i | −1.02891 | + | 0.863361i | ||||
\(994\) | −1.12482e6 | − | 131077.i | −1.13844 | − | 0.132664i | ||||
\(995\) | 774204. | + | 446987.i | 0.782004 | + | 0.451490i | ||||
\(996\) | 946494. | + | 1.26952e6i | 0.954112 | + | 1.27974i | ||||
\(997\) | 1.68625e6 | − | 613746.i | 1.69642 | − | 0.617445i | 0.701007 | − | 0.713154i | \(-0.252734\pi\) |
0.995409 | + | 0.0957093i | \(0.0305119\pi\) | |||||||
\(998\) | 729698. | − | 315062.i | 0.732626 | − | 0.316326i | ||||
\(999\) | 744223. | − | 429677.i | 0.745713 | − | 0.430538i |
(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 | 76.5.l.a.23.17 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.26 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.26 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.17 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.17 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.26 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.17 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.26 | yes | 228 | 19.5 | even | 9 | inner |