Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(1624\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 2.20 | ||
Character | \(\chi\) | \(=\) | 177.2 |
Dual form | 177.4.f.a.89.20 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.100013 | + | 1.84463i | −0.0353600 | + | 0.652177i | 0.926108 | + | 0.377259i | \(0.123133\pi\) |
−0.961468 | + | 0.274918i | \(0.911349\pi\) | |||||||
\(3\) | 2.00907 | − | 4.79204i | 0.386646 | − | 0.922228i | ||||
\(4\) | 4.56043 | + | 0.495977i | 0.570054 | + | 0.0619971i | ||||
\(5\) | 6.12126 | − | 18.1673i | 0.547502 | − | 1.62493i | −0.214048 | − | 0.976823i | \(-0.568665\pi\) |
0.761551 | − | 0.648105i | \(-0.224438\pi\) | |||||||
\(6\) | 8.63862 | + | 4.18527i | 0.587784 | + | 0.284771i | ||||
\(7\) | 1.32430 | + | 1.95320i | 0.0715057 | + | 0.105463i | 0.861760 | − | 0.507315i | \(-0.169362\pi\) |
−0.790255 | + | 0.612779i | \(0.790052\pi\) | |||||||
\(8\) | −3.76193 | + | 22.9468i | −0.166256 | + | 1.01411i | ||||
\(9\) | −18.9273 | − | 19.2551i | −0.701010 | − | 0.713151i | ||||
\(10\) | 32.8997 | + | 13.1084i | 1.04038 | + | 0.414526i | ||||
\(11\) | 34.4557 | − | 7.58428i | 0.944436 | − | 0.207886i | 0.284048 | − | 0.958810i | \(-0.408323\pi\) |
0.660389 | + | 0.750924i | \(0.270392\pi\) | |||||||
\(12\) | 11.5390 | − | 20.8573i | 0.277585 | − | 0.501749i | ||||
\(13\) | −2.61388 | + | 2.22025i | −0.0557661 | + | 0.0473681i | −0.674836 | − | 0.737968i | \(-0.735786\pi\) |
0.619070 | + | 0.785336i | \(0.287510\pi\) | |||||||
\(14\) | −3.73539 | + | 2.24751i | −0.0713090 | + | 0.0429052i | ||||
\(15\) | −74.7601 | − | 65.8326i | −1.28687 | − | 1.13319i | ||||
\(16\) | −6.11157 | − | 1.34526i | −0.0954933 | − | 0.0210197i | ||||
\(17\) | −95.2636 | − | 64.5903i | −1.35911 | − | 0.921498i | −0.359177 | − | 0.933270i | \(-0.616942\pi\) |
−0.999931 | + | 0.0117719i | \(0.996253\pi\) | |||||||
\(18\) | 37.4116 | − | 32.9881i | 0.489888 | − | 0.431965i | ||||
\(19\) | −31.0271 | + | 58.5233i | −0.374637 | + | 0.706640i | −0.997108 | − | 0.0760032i | \(-0.975784\pi\) |
0.622471 | + | 0.782643i | \(0.286129\pi\) | |||||||
\(20\) | 36.9261 | − | 79.8145i | 0.412847 | − | 0.892353i | ||||
\(21\) | 12.0204 | − | 2.42200i | 0.124908 | − | 0.0251677i | ||||
\(22\) | 10.5442 | + | 64.3168i | 0.102183 | + | 0.623290i | ||||
\(23\) | −26.8145 | + | 25.4000i | −0.243096 | + | 0.230272i | −0.799541 | − | 0.600612i | \(-0.794924\pi\) |
0.556445 | + | 0.830884i | \(0.312165\pi\) | |||||||
\(24\) | 102.404 | + | 64.1290i | 0.870963 | + | 0.545429i | ||||
\(25\) | −193.068 | − | 146.766i | −1.54454 | − | 1.17413i | ||||
\(26\) | −3.83412 | − | 5.04370i | −0.0289205 | − | 0.0380443i | ||||
\(27\) | −130.297 | + | 52.0154i | −0.928731 | + | 0.370754i | ||||
\(28\) | 5.07066 | + | 9.56428i | 0.0342237 | + | 0.0645528i | ||||
\(29\) | 269.497 | − | 14.6117i | 1.72566 | − | 0.0935628i | 0.835583 | − | 0.549365i | \(-0.185130\pi\) |
0.890081 | + | 0.455802i | \(0.150648\pi\) | |||||||
\(30\) | 128.914 | − | 131.321i | 0.784546 | − | 0.799194i | ||||
\(31\) | 285.949 | − | 151.601i | 1.65671 | − | 0.878332i | 0.665445 | − | 0.746447i | \(-0.268242\pi\) |
0.991265 | − | 0.131885i | \(-0.0421029\pi\) | |||||||
\(32\) | −46.6742 | + | 168.105i | −0.257841 | + | 0.928659i | ||||
\(33\) | 32.8799 | − | 180.351i | 0.173444 | − | 0.951364i | ||||
\(34\) | 128.673 | − | 169.267i | 0.649037 | − | 0.853794i | ||||
\(35\) | 43.5908 | − | 12.1029i | 0.210519 | − | 0.0584504i | ||||
\(36\) | −76.7664 | − | 97.1990i | −0.355400 | − | 0.449995i | ||||
\(37\) | 217.413 | − | 35.6431i | 0.966015 | − | 0.158370i | 0.341929 | − | 0.939726i | \(-0.388920\pi\) |
0.624086 | + | 0.781356i | \(0.285472\pi\) | |||||||
\(38\) | −104.851 | − | 63.0867i | −0.447607 | − | 0.269316i | ||||
\(39\) | 5.38804 | + | 16.9864i | 0.0221225 | + | 0.0697437i | ||||
\(40\) | 393.852 | + | 208.807i | 1.55684 | + | 0.825383i | ||||
\(41\) | −272.365 | + | 287.533i | −1.03747 | + | 1.09525i | −0.0421032 | + | 0.999113i | \(0.513406\pi\) |
−0.995369 | + | 0.0961324i | \(0.969353\pi\) | |||||||
\(42\) | 3.26549 | + | 22.4156i | 0.0119971 | + | 0.0823523i | ||||
\(43\) | −56.7474 | + | 257.806i | −0.201253 | + | 0.914304i | 0.762391 | + | 0.647116i | \(0.224025\pi\) |
−0.963645 | + | 0.267187i | \(0.913906\pi\) | |||||||
\(44\) | 160.895 | − | 17.4984i | 0.551268 | − | 0.0599540i | ||||
\(45\) | −465.671 | + | 225.991i | −1.54262 | + | 0.748639i | ||||
\(46\) | −44.1719 | − | 52.0032i | −0.141582 | − | 0.166684i | ||||
\(47\) | −70.1368 | + | 23.6318i | −0.217670 | + | 0.0733416i | −0.426024 | − | 0.904712i | \(-0.640086\pi\) |
0.208354 | + | 0.978054i | \(0.433189\pi\) | |||||||
\(48\) | −18.7251 | + | 26.5842i | −0.0563070 | + | 0.0799395i | ||||
\(49\) | 124.896 | − | 313.466i | 0.364129 | − | 0.913894i | ||||
\(50\) | 290.039 | − | 341.460i | 0.820355 | − | 0.965796i | ||||
\(51\) | −500.911 | + | 326.740i | −1.37532 | + | 0.897114i | ||||
\(52\) | −13.0216 | + | 8.82886i | −0.0347264 | + | 0.0235451i | ||||
\(53\) | 170.082 | − | 67.7669i | 0.440803 | − | 0.175632i | −0.139168 | − | 0.990269i | \(-0.544443\pi\) |
0.579972 | + | 0.814637i | \(0.303064\pi\) | |||||||
\(54\) | −82.9178 | − | 245.553i | −0.208957 | − | 0.618806i | ||||
\(55\) | 73.1270 | − | 672.392i | 0.179281 | − | 1.64846i | ||||
\(56\) | −49.8017 | + | 23.0407i | −0.118840 | + | 0.0549811i | ||||
\(57\) | 218.110 | + | 266.260i | 0.506831 | + | 0.618720i | ||||
\(58\) | 498.584i | 1.12875i | ||||||||
\(59\) | 149.809 | + | 427.711i | 0.330566 | + | 0.943783i | ||||
\(60\) | −308.287 | − | 337.304i | −0.663328 | − | 0.725764i | ||||
\(61\) | −126.175 | − | 6.84103i | −0.264838 | − | 0.0143591i | −0.0787580 | − | 0.996894i | \(-0.525095\pi\) |
−0.186080 | + | 0.982535i | \(0.559578\pi\) | |||||||
\(62\) | 251.049 | + | 542.634i | 0.514246 | + | 1.11153i | ||||
\(63\) | 12.5436 | − | 62.4684i | 0.0250849 | − | 0.124925i | ||||
\(64\) | −352.867 | − | 118.895i | −0.689193 | − | 0.232216i | ||||
\(65\) | 24.3356 | + | 61.0777i | 0.0464378 | + | 0.116550i | ||||
\(66\) | 329.392 | + | 78.6887i | 0.614324 | + | 0.146756i | ||||
\(67\) | 218.287 | + | 35.7863i | 0.398029 | + | 0.0652536i | 0.357472 | − | 0.933924i | \(-0.383639\pi\) |
0.0405566 | + | 0.999177i | \(0.487087\pi\) | |||||||
\(68\) | −402.408 | − | 341.808i | −0.717634 | − | 0.609564i | ||||
\(69\) | 67.8456 | + | 179.526i | 0.118372 | + | 0.313224i | ||||
\(70\) | 17.9658 | + | 81.6194i | 0.0306760 | + | 0.139363i | ||||
\(71\) | 181.212 | + | 537.818i | 0.302900 | + | 0.898976i | 0.985721 | + | 0.168390i | \(0.0538567\pi\) |
−0.682820 | + | 0.730586i | \(0.739247\pi\) | |||||||
\(72\) | 513.045 | − | 361.884i | 0.839764 | − | 0.592339i | ||||
\(73\) | −361.665 | − | 601.091i | −0.579858 | − | 0.963731i | −0.998455 | − | 0.0555595i | \(-0.982306\pi\) |
0.418597 | − | 0.908172i | \(-0.362522\pi\) | |||||||
\(74\) | 44.0043 | + | 404.613i | 0.0691270 | + | 0.635612i | ||||
\(75\) | −1091.20 | + | 630.324i | −1.68001 | + | 0.970447i | ||||
\(76\) | −170.523 | + | 251.503i | −0.257373 | + | 0.379596i | ||||
\(77\) | 60.4436 | + | 57.2552i | 0.0894569 | + | 0.0847381i | ||||
\(78\) | −31.8726 | + | 8.24010i | −0.0462675 | + | 0.0119616i | ||||
\(79\) | −70.0583 | − | 32.4124i | −0.0997743 | − | 0.0461605i | 0.369367 | − | 0.929284i | \(-0.379574\pi\) |
−0.469141 | + | 0.883123i | \(0.655437\pi\) | |||||||
\(80\) | −61.8502 | + | 102.796i | −0.0864382 | + | 0.143661i | ||||
\(81\) | −12.5170 | + | 728.893i | −0.0171701 | + | 0.999853i | ||||
\(82\) | −503.153 | − | 531.172i | −0.677609 | − | 0.715343i | ||||
\(83\) | 272.955 | + | 983.095i | 0.360972 | + | 1.30010i | 0.891725 | + | 0.452578i | \(0.149495\pi\) |
−0.530753 | + | 0.847527i | \(0.678091\pi\) | |||||||
\(84\) | 56.0197 | − | 5.08348i | 0.0727649 | − | 0.00660302i | ||||
\(85\) | −1756.56 | + | 1335.30i | −2.24148 | + | 1.70393i | ||||
\(86\) | −469.882 | − | 130.462i | −0.589171 | − | 0.163583i | ||||
\(87\) | 471.418 | − | 1320.79i | 0.580934 | − | 1.62763i | ||||
\(88\) | 44.4147 | + | 819.180i | 0.0538025 | + | 0.992328i | ||||
\(89\) | −59.0986 | − | 1090.01i | −0.0703869 | − | 1.29821i | −0.793963 | − | 0.607966i | \(-0.791986\pi\) |
0.723576 | − | 0.690245i | \(-0.242497\pi\) | |||||||
\(90\) | −370.298 | − | 881.594i | −0.433698 | − | 1.03254i | ||||
\(91\) | −7.79816 | − | 2.16515i | −0.00898318 | − | 0.00249417i | ||||
\(92\) | −134.883 | + | 102.536i | −0.152854 | + | 0.116196i | ||||
\(93\) | −151.984 | − | 1674.86i | −0.169463 | − | 1.86747i | ||||
\(94\) | −36.5775 | − | 131.740i | −0.0401349 | − | 0.144553i | ||||
\(95\) | 873.282 | + | 921.913i | 0.943125 | + | 0.995645i | ||||
\(96\) | 711.795 | + | 561.400i | 0.756742 | + | 0.596850i | ||||
\(97\) | −660.267 | + | 1097.37i | −0.691134 | + | 1.14867i | 0.290312 | + | 0.956932i | \(0.406241\pi\) |
−0.981446 | + | 0.191741i | \(0.938587\pi\) | |||||||
\(98\) | 565.738 | + | 261.738i | 0.583145 | + | 0.269792i | ||||
\(99\) | −798.189 | − | 519.899i | −0.810314 | − | 0.527796i | ||||
\(100\) | −807.679 | − | 765.074i | −0.807679 | − | 0.765074i | ||||
\(101\) | −296.253 | + | 436.940i | −0.291864 | + | 0.430467i | −0.945146 | − | 0.326647i | \(-0.894081\pi\) |
0.653282 | + | 0.757114i | \(0.273391\pi\) | |||||||
\(102\) | −552.619 | − | 956.675i | −0.536445 | − | 0.928676i | ||||
\(103\) | −7.30899 | − | 67.2050i | −0.00699200 | − | 0.0642904i | 0.990122 | − | 0.140208i | \(-0.0447770\pi\) |
−0.997114 | + | 0.0759173i | \(0.975812\pi\) | |||||||
\(104\) | −41.1143 | − | 68.3325i | −0.0387653 | − | 0.0644284i | ||||
\(105\) | 29.5793 | − | 233.204i | 0.0274918 | − | 0.216747i | ||||
\(106\) | 107.995 | + | 320.517i | 0.0989564 | + | 0.293692i | ||||
\(107\) | 2.81253 | + | 12.7774i | 0.00254110 | + | 0.0115443i | 0.977874 | − | 0.209195i | \(-0.0670842\pi\) |
−0.975333 | + | 0.220739i | \(0.929153\pi\) | |||||||
\(108\) | −620.011 | + | 172.588i | −0.552413 | + | 0.153771i | ||||
\(109\) | 1152.51 | + | 978.953i | 1.01276 | + | 0.860245i | 0.990222 | − | 0.139501i | \(-0.0445498\pi\) |
0.0225370 | + | 0.999746i | \(0.492826\pi\) | |||||||
\(110\) | 1233.00 | + | 202.141i | 1.06875 | + | 0.175212i | ||||
\(111\) | 265.996 | − | 1113.46i | 0.227452 | − | 0.952119i | ||||
\(112\) | −5.46602 | − | 13.7187i | −0.00461152 | − | 0.0115740i | ||||
\(113\) | −332.086 | − | 111.893i | −0.276460 | − | 0.0931502i | 0.177656 | − | 0.984093i | \(-0.443148\pi\) |
−0.454116 | + | 0.890942i | \(0.650045\pi\) | |||||||
\(114\) | −512.967 | + | 375.704i | −0.421436 | + | 0.308666i | ||||
\(115\) | 297.310 | + | 642.625i | 0.241081 | + | 0.521088i | ||||
\(116\) | 1236.27 | + | 67.0285i | 0.989522 | + | 0.0536503i | ||||
\(117\) | 92.2246 | + | 8.30722i | 0.0728732 | + | 0.00656413i | ||||
\(118\) | −803.952 | + | 233.565i | −0.627202 | + | 0.182215i | ||||
\(119\) | − | 271.607i | − | 0.209228i | ||||||
\(120\) | 1791.89 | − | 1467.85i | 1.36314 | − | 1.11663i | ||||
\(121\) | −78.3056 | + | 36.2280i | −0.0588321 | + | 0.0272186i | ||||
\(122\) | 25.2384 | − | 232.063i | 0.0187293 | − | 0.172213i | ||||
\(123\) | 830.666 | + | 1882.86i | 0.608932 | + | 1.38026i | ||||
\(124\) | 1379.24 | − | 549.540i | 0.998868 | − | 0.397985i | ||||
\(125\) | −1864.72 | + | 1264.31i | −1.33429 | + | 0.904670i | ||||
\(126\) | 113.977 | + | 29.3861i | 0.0805862 | + | 0.0207771i | ||||
\(127\) | 731.478 | − | 861.163i | 0.511088 | − | 0.601699i | −0.444728 | − | 0.895666i | \(-0.646700\pi\) |
0.955816 | + | 0.293966i | \(0.0949754\pi\) | |||||||
\(128\) | −261.999 | + | 657.568i | −0.180919 | + | 0.454073i | ||||
\(129\) | 1121.41 | + | 789.886i | 0.765383 | + | 0.539113i | ||||
\(130\) | −115.100 | + | 38.7816i | −0.0776532 | + | 0.0261644i | ||||
\(131\) | −322.269 | − | 379.404i | −0.214937 | − | 0.253043i | 0.644119 | − | 0.764926i | \(-0.277224\pi\) |
−0.859056 | + | 0.511882i | \(0.828948\pi\) | |||||||
\(132\) | 239.396 | − | 806.169i | 0.157854 | − | 0.531576i | ||||
\(133\) | −155.397 | + | 16.9005i | −0.101313 | + | 0.0110185i | ||||
\(134\) | −87.8441 | + | 399.080i | −0.0566311 | + | 0.257278i | ||||
\(135\) | 147.392 | + | 2685.54i | 0.0939666 | + | 1.71211i | ||||
\(136\) | 1840.52 | − | 1943.01i | 1.16046 | − | 1.22509i | ||||
\(137\) | 1459.31 | + | 773.677i | 0.910053 | + | 0.482479i | 0.856536 | − | 0.516087i | \(-0.172612\pi\) |
0.0535170 | + | 0.998567i | \(0.482957\pi\) | |||||||
\(138\) | −337.946 | + | 107.195i | −0.208463 | + | 0.0661237i | ||||
\(139\) | 1848.93 | + | 1112.47i | 1.12823 | + | 0.678836i | 0.952178 | − | 0.305544i | \(-0.0988384\pi\) |
0.176056 | + | 0.984380i | \(0.443666\pi\) | |||||||
\(140\) | 204.795 | − | 33.5745i | 0.123631 | − | 0.0202683i | ||||
\(141\) | −27.6651 | + | 383.576i | −0.0165236 | + | 0.229099i | ||||
\(142\) | −1010.20 | + | 280.481i | −0.597002 | + | 0.165757i | ||||
\(143\) | −73.2241 | + | 96.3246i | −0.0428203 | + | 0.0563292i | ||||
\(144\) | 89.7723 | + | 143.141i | 0.0519516 | + | 0.0828362i | ||||
\(145\) | 1384.20 | − | 4985.45i | 0.792772 | − | 2.85531i | ||||
\(146\) | 1144.96 | − | 607.022i | 0.649027 | − | 0.344092i | ||||
\(147\) | −1251.21 | − | 1228.28i | −0.702030 | − | 0.689163i | ||||
\(148\) | 1009.18 | − | 54.7160i | 0.560499 | − | 0.0303894i | ||||
\(149\) | 920.836 | + | 1736.88i | 0.506294 | + | 0.954972i | 0.996518 | + | 0.0833756i | \(0.0265701\pi\) |
−0.490224 | + | 0.871596i | \(0.663085\pi\) | |||||||
\(150\) | −1053.58 | − | 2075.90i | −0.573498 | − | 1.12998i | ||||
\(151\) | −583.195 | − | 767.180i | −0.314303 | − | 0.413458i | 0.611631 | − | 0.791143i | \(-0.290514\pi\) |
−0.925934 | + | 0.377684i | \(0.876720\pi\) | |||||||
\(152\) | −1226.20 | − | 932.132i | −0.654328 | − | 0.497407i | ||||
\(153\) | 559.387 | + | 3056.83i | 0.295580 | + | 1.61523i | ||||
\(154\) | −111.660 | + | 105.770i | −0.0584274 | + | 0.0553454i | ||||
\(155\) | −1003.80 | − | 6122.90i | −0.520174 | − | 3.17292i | ||||
\(156\) | 16.1469 | + | 80.1378i | 0.00828711 | + | 0.0411292i | ||||
\(157\) | −230.648 | + | 498.537i | −0.117247 | + | 0.253424i | −0.957310 | − | 0.289064i | \(-0.906656\pi\) |
0.840063 | + | 0.542489i | \(0.182518\pi\) | |||||||
\(158\) | 66.7958 | − | 125.990i | 0.0336328 | − | 0.0634382i | ||||
\(159\) | 16.9654 | − | 951.189i | 0.00846190 | − | 0.474429i | ||||
\(160\) | 2768.30 | + | 1876.96i | 1.36784 | + | 0.927415i | ||||
\(161\) | −85.1219 | − | 18.7367i | −0.0416680 | − | 0.00917181i | ||||
\(162\) | −1343.29 | − | 95.9881i | −0.651473 | − | 0.0465527i | ||||
\(163\) | 129.626 | − | 77.9936i | 0.0622891 | − | 0.0374781i | −0.484069 | − | 0.875030i | \(-0.660841\pi\) |
0.546358 | + | 0.837552i | \(0.316014\pi\) | |||||||
\(164\) | −1384.71 | + | 1176.19i | −0.659317 | + | 0.560029i | ||||
\(165\) | −3075.21 | − | 1701.31i | −1.45094 | − | 0.802708i | ||||
\(166\) | −1840.75 | + | 405.179i | −0.860661 | + | 0.189446i | ||||
\(167\) | −1702.34 | − | 678.273i | −0.788807 | − | 0.314289i | −0.0592799 | − | 0.998241i | \(-0.518880\pi\) |
−0.729527 | + | 0.683952i | \(0.760260\pi\) | |||||||
\(168\) | 10.3569 | + | 284.942i | 0.00475625 | + | 0.130856i | ||||
\(169\) | −353.532 | + | 2156.45i | −0.160916 | + | 0.981543i | ||||
\(170\) | −2287.47 | − | 3373.76i | −1.03200 | − | 1.52209i | ||||
\(171\) | 1714.13 | − | 510.256i | 0.766565 | − | 0.228189i | ||||
\(172\) | −386.659 | + | 1147.56i | −0.171410 | + | 0.508725i | ||||
\(173\) | 2386.36 | + | 259.533i | 1.04874 | + | 0.114057i | 0.616225 | − | 0.787570i | \(-0.288661\pi\) |
0.432514 | + | 0.901627i | \(0.357627\pi\) | |||||||
\(174\) | 2389.23 | + | 1001.69i | 1.04096 | + | 0.436425i | ||||
\(175\) | 30.9838 | − | 571.463i | 0.0133838 | − | 0.246849i | ||||
\(176\) | −220.782 | −0.0945570 | ||||||||
\(177\) | 2350.58 | + | 141.412i | 0.998195 | + | 0.0600520i | ||||
\(178\) | 2016.58 | 0.849151 | ||||||||
\(179\) | 110.648 | − | 2040.78i | 0.0462024 | − | 0.852152i | −0.879965 | − | 0.475039i | \(-0.842434\pi\) |
0.926167 | − | 0.377113i | \(-0.123083\pi\) | |||||||
\(180\) | −2235.75 | + | 799.655i | −0.925793 | + | 0.331126i | ||||
\(181\) | −3894.52 | − | 423.554i | −1.59932 | − | 0.173937i | −0.735425 | − | 0.677606i | \(-0.763017\pi\) |
−0.863896 | + | 0.503670i | \(0.831983\pi\) | |||||||
\(182\) | 4.77383 | − | 14.1682i | 0.00194428 | − | 0.00577043i | ||||
\(183\) | −286.278 | + | 590.893i | −0.115641 | + | 0.238689i | ||||
\(184\) | −481.974 | − | 710.858i | −0.193106 | − | 0.284811i | ||||
\(185\) | 683.307 | − | 4167.99i | 0.271555 | − | 1.65641i | ||||
\(186\) | 3104.70 | − | 112.847i | 1.22391 | − | 0.0444859i | ||||
\(187\) | −3772.25 | − | 1503.00i | −1.47516 | − | 0.587756i | ||||
\(188\) | −331.575 | + | 72.9851i | −0.128631 | + | 0.0283138i | ||||
\(189\) | −274.150 | − | 185.613i | −0.105510 | − | 0.0714358i | ||||
\(190\) | −1787.93 | + | 1518.68i | −0.682685 | + | 0.579878i | ||||
\(191\) | −2821.07 | + | 1697.38i | −1.06872 | + | 0.643028i | −0.937380 | − | 0.348310i | \(-0.886756\pi\) |
−0.131341 | + | 0.991337i | \(0.541928\pi\) | |||||||
\(192\) | −1278.68 | + | 1452.08i | −0.480630 | + | 0.545808i | ||||
\(193\) | 749.494 | + | 164.976i | 0.279532 | + | 0.0615298i | 0.352524 | − | 0.935803i | \(-0.385324\pi\) |
−0.0729914 | + | 0.997333i | \(0.523255\pi\) | |||||||
\(194\) | −1958.21 | − | 1327.70i | −0.724699 | − | 0.491358i | ||||
\(195\) | 341.578 | + | 6.09238i | 0.125441 | + | 0.00223736i | ||||
\(196\) | 725.052 | − | 1367.59i | 0.264232 | − | 0.498394i | ||||
\(197\) | −1640.85 | + | 3546.64i | −0.593431 | + | 1.28268i | 0.345450 | + | 0.938437i | \(0.387726\pi\) |
−0.938881 | + | 0.344243i | \(0.888136\pi\) | |||||||
\(198\) | 1038.85 | − | 1420.37i | 0.372869 | − | 0.509805i | ||||
\(199\) | −516.263 | − | 3149.07i | −0.183904 | − | 1.12177i | −0.903886 | − | 0.427773i | \(-0.859298\pi\) |
0.719982 | − | 0.693993i | \(-0.244150\pi\) | |||||||
\(200\) | 4094.12 | − | 3878.16i | 1.44749 | − | 1.37113i | ||||
\(201\) | 610.042 | − | 974.140i | 0.214075 | − | 0.341844i | ||||
\(202\) | −776.365 | − | 590.178i | −0.270420 | − | 0.205568i | ||||
\(203\) | 385.435 | + | 507.031i | 0.133262 | + | 0.175304i | ||||
\(204\) | −2446.43 | + | 1241.64i | −0.839628 | + | 0.426137i | ||||
\(205\) | 3556.46 | + | 6708.20i | 1.21168 | + | 2.28547i | ||||
\(206\) | 124.700 | − | 6.76102i | 0.0421759 | − | 0.00228671i | ||||
\(207\) | 996.604 | + | 35.5621i | 0.334632 | + | 0.0119408i | ||||
\(208\) | 18.9617 | − | 10.0529i | 0.00632095 | − | 0.00335115i | ||||
\(209\) | −625.204 | + | 2251.78i | −0.206920 | + | 0.745258i | ||||
\(210\) | 427.218 | + | 77.8864i | 0.140385 | + | 0.0255937i | ||||
\(211\) | 68.3980 | − | 89.9760i | 0.0223162 | − | 0.0293564i | −0.784800 | − | 0.619750i | \(-0.787234\pi\) |
0.807116 | + | 0.590393i | \(0.201027\pi\) | |||||||
\(212\) | 809.259 | − | 224.690i | 0.262170 | − | 0.0727913i | ||||
\(213\) | 2941.31 | + | 212.140i | 0.946176 | + | 0.0682422i | ||||
\(214\) | −23.8510 | + | 3.91017i | −0.00761879 | + | 0.00124904i | ||||
\(215\) | 4336.26 | + | 2609.04i | 1.37549 | + | 0.827606i | ||||
\(216\) | −703.415 | − | 3185.58i | −0.221580 | − | 1.00348i | ||||
\(217\) | 674.791 | + | 357.752i | 0.211096 | + | 0.111916i | ||||
\(218\) | −1921.08 | + | 2028.06i | −0.596843 | + | 0.630079i | ||||
\(219\) | −3607.06 | + | 525.476i | −1.11298 | + | 0.162139i | ||||
\(220\) | 666.981 | − | 3030.13i | 0.204399 | − | 0.928596i | ||||
\(221\) | 392.414 | − | 42.6776i | 0.119442 | − | 0.0129901i | ||||
\(222\) | 2027.33 | + | 602.026i | 0.612907 | + | 0.182006i | ||||
\(223\) | 1478.97 | + | 1741.17i | 0.444121 | + | 0.522860i | 0.937983 | − | 0.346681i | \(-0.112691\pi\) |
−0.493862 | + | 0.869540i | \(0.664415\pi\) | |||||||
\(224\) | −390.154 | + | 131.458i | −0.116376 | + | 0.0392117i | ||||
\(225\) | 828.246 | + | 6495.42i | 0.245406 | + | 1.92457i | ||||
\(226\) | 239.614 | − | 601.386i | 0.0705260 | − | 0.177007i | ||||
\(227\) | 858.255 | − | 1010.42i | 0.250945 | − | 0.295435i | −0.622238 | − | 0.782828i | \(-0.713776\pi\) |
0.873182 | + | 0.487393i | \(0.162052\pi\) | |||||||
\(228\) | 862.618 | + | 1322.44i | 0.250562 | + | 0.384126i | ||||
\(229\) | 2437.19 | − | 1652.45i | 0.703292 | − | 0.476844i | −0.156375 | − | 0.987698i | \(-0.549981\pi\) |
0.859668 | + | 0.510854i | \(0.170671\pi\) | |||||||
\(230\) | −1215.14 | + | 484.157i | −0.348366 | + | 0.138802i | ||||
\(231\) | 395.804 | − | 174.618i | 0.112736 | − | 0.0497361i | ||||
\(232\) | −678.537 | + | 6239.05i | −0.192018 | + | 1.76558i | ||||
\(233\) | −3950.25 | + | 1827.58i | −1.11069 | + | 0.513858i | −0.887449 | − | 0.460906i | \(-0.847524\pi\) |
−0.223237 | + | 0.974764i | \(0.571662\pi\) | |||||||
\(234\) | −24.5475 | + | 169.290i | −0.00685777 | + | 0.0472941i | ||||
\(235\) | 1418.85i | 0.393853i | ||||||||
\(236\) | 471.057 | + | 2024.85i | 0.129929 | + | 0.558501i | ||||
\(237\) | −296.074 | + | 270.603i | −0.0811479 | + | 0.0741669i | ||||
\(238\) | 501.015 | + | 27.1642i | 0.136454 | + | 0.00739830i | ||||
\(239\) | 62.5062 | + | 135.105i | 0.0169171 | + | 0.0365657i | 0.915850 | − | 0.401521i | \(-0.131518\pi\) |
−0.898933 | + | 0.438087i | \(0.855656\pi\) | |||||||
\(240\) | 368.340 | + | 502.912i | 0.0990677 | + | 0.135262i | ||||
\(241\) | 104.061 | + | 35.0621i | 0.0278138 | + | 0.00937158i | 0.333174 | − | 0.942865i | \(-0.391880\pi\) |
−0.305360 | + | 0.952237i | \(0.598777\pi\) | |||||||
\(242\) | −58.9958 | − | 148.068i | −0.0156711 | − | 0.0393314i | ||||
\(243\) | 3467.73 | + | 1524.38i | 0.915454 | + | 0.402424i | ||||
\(244\) | −572.021 | − | 93.7781i | −0.150081 | − | 0.0246046i | ||||
\(245\) | −4930.29 | − | 4187.83i | −1.28565 | − | 1.09204i | ||||
\(246\) | −3556.26 | + | 1343.96i | −0.921704 | + | 0.348325i | ||||
\(247\) | −48.8351 | − | 221.860i | −0.0125802 | − | 0.0571524i | ||||
\(248\) | 2403.03 | + | 7131.93i | 0.615292 | + | 1.82612i | ||||
\(249\) | 5259.41 | + | 667.096i | 1.33856 | + | 0.169781i | ||||
\(250\) | −2145.70 | − | 3566.18i | −0.542824 | − | 0.902181i | ||||
\(251\) | −823.413 | − | 7571.16i | −0.207065 | − | 1.90393i | −0.390012 | − | 0.920810i | \(-0.627529\pi\) |
0.182947 | − | 0.983123i | \(-0.441436\pi\) | |||||||
\(252\) | 88.1873 | − | 278.662i | 0.0220448 | − | 0.0696589i | ||||
\(253\) | −731.271 | + | 1078.54i | −0.181718 | + | 0.268014i | ||||
\(254\) | 1515.37 | + | 1435.44i | 0.374342 | + | 0.354596i | ||||
\(255\) | 2869.77 | + | 11100.2i | 0.704753 | + | 2.72598i | ||||
\(256\) | −3890.32 | − | 1799.85i | −0.949784 | − | 0.439417i | ||||
\(257\) | 2764.33 | − | 4594.36i | 0.670951 | − | 1.11513i | −0.315160 | − | 0.949039i | \(-0.602058\pi\) |
0.986111 | − | 0.166090i | \(-0.0531144\pi\) | |||||||
\(258\) | −1569.21 | + | 1989.59i | −0.378661 | + | 0.480102i | ||||
\(259\) | 357.540 | + | 377.450i | 0.0857778 | + | 0.0905545i | ||||
\(260\) | 80.6876 | + | 290.610i | 0.0192463 | + | 0.0693188i | ||||
\(261\) | −5382.18 | − | 4912.62i | −1.27643 | − | 1.16507i | ||||
\(262\) | 732.093 | − | 556.522i | 0.172629 | − | 0.131229i | ||||
\(263\) | −4381.67 | − | 1216.56i | −1.02732 | − | 0.285234i | −0.287316 | − | 0.957836i | \(-0.592763\pi\) |
−0.740005 | + | 0.672602i | \(0.765177\pi\) | |||||||
\(264\) | 4014.77 | + | 1432.95i | 0.935956 | + | 0.334061i | ||||
\(265\) | −190.022 | − | 3504.74i | −0.0440488 | − | 0.812433i | ||||
\(266\) | −15.6334 | − | 288.341i | −0.00360355 | − | 0.0664636i | ||||
\(267\) | −5342.10 | − | 1906.70i | −1.22446 | − | 0.437035i | ||||
\(268\) | 977.732 | + | 271.466i | 0.222853 | + | 0.0618747i | ||||
\(269\) | 2748.07 | − | 2089.03i | 0.622872 | − | 0.473495i | −0.245508 | − | 0.969395i | \(-0.578955\pi\) |
0.868380 | + | 0.495900i | \(0.165162\pi\) | |||||||
\(270\) | −4968.59 | + | 3.29478i | −1.11992 | + | 0.000742645i | ||||
\(271\) | −660.459 | − | 2378.76i | −0.148044 | − | 0.533207i | −0.999955 | − | 0.00951977i | \(-0.996970\pi\) |
0.851910 | − | 0.523688i | \(-0.175444\pi\) | |||||||
\(272\) | 495.320 | + | 522.903i | 0.110416 | + | 0.116565i | ||||
\(273\) | −26.0425 | + | 33.0192i | −0.00577350 | + | 0.00732018i | ||||
\(274\) | −1573.10 | + | 2614.51i | −0.346841 | + | 0.576455i | ||||
\(275\) | −7765.41 | − | 3592.66i | −1.70281 | − | 0.787802i | ||||
\(276\) | 220.365 | + | 852.367i | 0.0480594 | + | 0.185893i | ||||
\(277\) | −5756.55 | − | 5452.89i | −1.24866 | − | 1.18279i | −0.975302 | − | 0.220876i | \(-0.929109\pi\) |
−0.273353 | − | 0.961914i | \(-0.588133\pi\) | |||||||
\(278\) | −2237.01 | + | 3299.34i | −0.482615 | + | 0.711804i | ||||
\(279\) | −8331.32 | − | 2636.59i | −1.78775 | − | 0.565766i | ||||
\(280\) | 113.737 | + | 1045.80i | 0.0242754 | + | 0.223208i | ||||
\(281\) | 1092.94 | + | 1816.48i | 0.232026 | + | 0.385630i | 0.950894 | − | 0.309516i | \(-0.100167\pi\) |
−0.718868 | + | 0.695146i | \(0.755340\pi\) | |||||||
\(282\) | −704.791 | − | 89.3946i | −0.148829 | − | 0.0188772i | ||||
\(283\) | −971.202 | − | 2882.43i | −0.204000 | − | 0.605450i | −1.00000 | 0.000153615i | \(-0.999951\pi\) | |
0.796000 | − | 0.605296i | \(-0.206945\pi\) | |||||||
\(284\) | 559.660 | + | 2542.56i | 0.116936 | + | 0.531244i | ||||
\(285\) | 6172.33 | − | 2332.61i | 1.28287 | − | 0.484814i | ||||
\(286\) | −170.360 | − | 144.705i | −0.0352224 | − | 0.0299182i | ||||
\(287\) | −922.305 | − | 151.204i | −0.189693 | − | 0.0310986i | ||||
\(288\) | 4120.29 | − | 2283.06i | 0.843023 | − | 0.467119i | ||||
\(289\) | 3084.76 | + | 7742.16i | 0.627877 | + | 1.57585i | ||||
\(290\) | 9057.90 | + | 3051.96i | 1.83413 | + | 0.617991i | ||||
\(291\) | 3932.13 | + | 5368.72i | 0.792115 | + | 1.08151i | ||||
\(292\) | −1351.22 | − | 2920.61i | −0.270802 | − | 0.585329i | ||||
\(293\) | 927.455 | + | 50.2851i | 0.184923 | + | 0.0100262i | 0.146368 | − | 0.989230i | \(-0.453242\pi\) |
0.0385553 | + | 0.999256i | \(0.487724\pi\) | |||||||
\(294\) | 2390.87 | − | 2185.19i | 0.474280 | − | 0.433479i | ||||
\(295\) | 8687.34 | − | 103.482i | 1.71457 | − | 0.0204236i | ||||
\(296\) | 5123.03i | 1.00598i | ||||||||
\(297\) | −4094.99 | + | 2780.44i | −0.800053 | + | 0.543224i | ||||
\(298\) | −3296.01 | + | 1524.89i | −0.640713 | + | 0.296425i | ||||
\(299\) | 13.6954 | − | 125.927i | 0.00264891 | − | 0.0243564i | ||||
\(300\) | −5288.95 | + | 2333.34i | −1.01786 | + | 0.449052i | ||||
\(301\) | −578.698 | + | 230.575i | −0.110816 | + | 0.0441531i | ||||
\(302\) | 1473.49 | − | 999.053i | 0.280762 | − | 0.190361i | ||||
\(303\) | 1498.64 | + | 2297.50i | 0.284141 | + | 0.435603i | ||||
\(304\) | 268.353 | − | 315.930i | 0.0506286 | − | 0.0596046i | ||||
\(305\) | −896.634 | + | 2250.38i | −0.168332 | + | 0.422480i | ||||
\(306\) | −5694.68 | + | 726.142i | −1.06387 | + | 0.135656i | ||||
\(307\) | −985.833 | + | 332.166i | −0.183272 | + | 0.0617515i | −0.409441 | − | 0.912337i | \(-0.634276\pi\) |
0.226169 | + | 0.974088i | \(0.427380\pi\) | |||||||
\(308\) | 247.252 | + | 291.087i | 0.0457418 | + | 0.0538514i | ||||
\(309\) | −336.733 | − | 99.9947i | −0.0619938 | − | 0.0184094i | ||||
\(310\) | 11394.9 | − | 1239.27i | 2.08770 | − | 0.227051i | ||||
\(311\) | 444.942 | − | 2021.39i | 0.0811265 | − | 0.368562i | −0.918514 | − | 0.395390i | \(-0.870610\pi\) |
0.999640 | + | 0.0268280i | \(0.00854064\pi\) | |||||||
\(312\) | −410.053 | + | 59.7365i | −0.0744061 | + | 0.0108395i | ||||
\(313\) | −5439.72 | + | 5742.64i | −0.982336 | + | 1.03704i | 0.0169723 | + | 0.999856i | \(0.494597\pi\) |
−0.999308 | + | 0.0371837i | \(0.988161\pi\) | |||||||
\(314\) | −896.551 | − | 475.321i | −0.161132 | − | 0.0854265i | ||||
\(315\) | −1058.10 | − | 610.269i | −0.189260 | − | 0.109158i | ||||
\(316\) | −303.420 | − | 182.562i | −0.0540149 | − | 0.0324997i | ||||
\(317\) | −1762.63 | + | 288.968i | −0.312300 | + | 0.0511989i | −0.315894 | − | 0.948795i | \(-0.602304\pi\) |
0.00359401 | + | 0.999994i | \(0.498856\pi\) | |||||||
\(318\) | 1752.90 | + | 126.426i | 0.309112 | + | 0.0222945i | ||||
\(319\) | 9174.88 | − | 2547.39i | 1.61033 | − | 0.447106i | ||||
\(320\) | −4319.98 | + | 5682.84i | −0.754669 | + | 0.992751i | ||||
\(321\) | 66.8806 | + | 12.1931i | 0.0116290 | + | 0.00212009i | ||||
\(322\) | 43.0757 | − | 155.145i | 0.00745502 | − | 0.0268506i | ||||
\(323\) | 6735.79 | − | 3571.09i | 1.16034 | − | 0.615173i | ||||
\(324\) | −418.597 | + | 3317.86i | −0.0717759 | + | 0.568905i | ||||
\(325\) | 830.512 | − | 45.0290i | 0.141749 | − | 0.00768542i | ||||
\(326\) | 130.905 | + | 246.914i | 0.0222398 | + | 0.0419487i | ||||
\(327\) | 7006.66 | − | 3556.10i | 1.18492 | − | 0.601385i | ||||
\(328\) | −5573.33 | − | 7331.59i | −0.938219 | − | 1.23421i | ||||
\(329\) | −139.040 | − | 105.696i | −0.0232995 | − | 0.0177118i | ||||
\(330\) | 3445.86 | − | 5502.48i | 0.574812 | − | 0.917884i | ||||
\(331\) | −1594.98 | + | 1510.85i | −0.264858 | + | 0.250887i | −0.808591 | − | 0.588372i | \(-0.799769\pi\) |
0.543732 | + | 0.839259i | \(0.317011\pi\) | |||||||
\(332\) | 757.200 | + | 4618.72i | 0.125171 | + | 0.763509i | ||||
\(333\) | −4801.35 | − | 3511.69i | −0.790128 | − | 0.577896i | ||||
\(334\) | 1421.42 | − | 3072.35i | 0.232864 | − | 0.503328i | ||||
\(335\) | 1986.33 | − | 3746.61i | 0.323954 | − | 0.611042i | ||||
\(336\) | −76.7220 | − | 1.36841i | −0.0124569 | − | 0.000222182i | ||||
\(337\) | −9369.62 | − | 6352.76i | −1.51453 | − | 1.02688i | −0.983787 | − | 0.179342i | \(-0.942603\pi\) |
−0.530741 | − | 0.847534i | \(-0.678086\pi\) | |||||||
\(338\) | −3942.50 | − | 867.811i | −0.634450 | − | 0.139653i | ||||
\(339\) | −1203.38 | + | 1366.57i | −0.192798 | + | 0.218943i | ||||
\(340\) | −8672.97 | + | 5218.35i | −1.38340 | + | 0.832367i | ||||
\(341\) | 8702.81 | − | 7392.24i | 1.38206 | − | 1.17394i | ||||
\(342\) | 769.801 | + | 3212.97i | 0.121714 | + | 0.508005i | ||||
\(343\) | 1568.16 | − | 345.178i | 0.246859 | − | 0.0543378i | ||||
\(344\) | −5702.34 | − | 2272.02i | −0.893749 | − | 0.356102i | ||||
\(345\) | 3676.80 | − | 133.642i | 0.573775 | − | 0.0208552i | ||||
\(346\) | −717.410 | + | 4376.01i | −0.111469 | + | 0.679930i | ||||
\(347\) | −3933.29 | − | 5801.17i | −0.608502 | − | 0.897474i | 0.391237 | − | 0.920290i | \(-0.372047\pi\) |
−0.999740 | + | 0.0228161i | \(0.992737\pi\) | |||||||
\(348\) | 2804.95 | − | 5789.58i | 0.432072 | − | 0.891822i | ||||
\(349\) | 342.167 | − | 1015.52i | 0.0524807 | − | 0.155757i | −0.918207 | − | 0.396100i | \(-0.870363\pi\) |
0.970688 | + | 0.240343i | \(0.0772599\pi\) | |||||||
\(350\) | 1051.04 | + | 114.308i | 0.160516 | + | 0.0174572i | ||||
\(351\) | 225.094 | − | 425.254i | 0.0342298 | − | 0.0646677i | ||||
\(352\) | −333.236 | + | 6146.18i | −0.0504589 | + | 0.930660i | ||||
\(353\) | −4740.65 | −0.714786 | −0.357393 | − | 0.933954i | \(-0.616334\pi\) | ||||
−0.357393 | + | 0.933954i | \(0.616334\pi\) | |||||||
\(354\) | −495.943 | + | 4321.82i | −0.0744607 | + | 0.648876i | ||||
\(355\) | 10879.9 | 1.62661 | ||||||||
\(356\) | 271.104 | − | 5000.23i | 0.0403610 | − | 0.744414i | ||||
\(357\) | −1301.55 | − | 545.677i | −0.192956 | − | 0.0808971i | ||||
\(358\) | 3753.43 | + | 408.210i | 0.554120 | + | 0.0602642i | ||||
\(359\) | 3290.15 | − | 9764.82i | 0.483698 | − | 1.43556i | −0.376888 | − | 0.926259i | \(-0.623006\pi\) |
0.860586 | − | 0.509305i | \(-0.170098\pi\) | |||||||
\(360\) | −3433.94 | − | 11535.8i | −0.502735 | − | 1.68886i | ||||
\(361\) | 1386.89 | + | 2045.51i | 0.202200 | + | 0.298223i | ||||
\(362\) | 1170.81 | − | 7141.60i | 0.169989 | − | 1.03689i | ||||
\(363\) | 16.2846 | + | 448.028i | 0.00235460 | + | 0.0647806i | ||||
\(364\) | −34.4891 | − | 13.7417i | −0.00496627 | − | 0.00197874i | ||||
\(365\) | −13134.0 | + | 2891.02i | −1.88347 | + | 0.414583i | ||||
\(366\) | −1061.35 | − | 587.174i | −0.151578 | − | 0.0838582i | ||||
\(367\) | −1079.25 | + | 916.725i | −0.153506 | + | 0.130389i | −0.720848 | − | 0.693093i | \(-0.756247\pi\) |
0.567342 | + | 0.823482i | \(0.307972\pi\) | |||||||
\(368\) | 198.048 | − | 119.162i | 0.0280543 | − | 0.0168797i | ||||
\(369\) | 10691.6 | − | 197.787i | 1.50835 | − | 0.0279035i | ||||
\(370\) | 7620.07 | + | 1677.30i | 1.07067 | + | 0.235673i | ||||
\(371\) | 357.603 | + | 242.461i | 0.0500427 | + | 0.0339298i | ||||
\(372\) | 137.577 | − | 7713.45i | 0.0191748 | − | 1.07506i | ||||
\(373\) | −5195.06 | + | 9798.93i | −0.721153 | + | 1.36024i | 0.203366 | + | 0.979103i | \(0.434812\pi\) |
−0.924519 | + | 0.381136i | \(0.875533\pi\) | |||||||
\(374\) | 3149.76 | − | 6808.10i | 0.435482 | − | 0.941280i | ||||
\(375\) | 2312.28 | + | 11475.9i | 0.318415 | + | 1.58031i | ||||
\(376\) | −278.425 | − | 1698.31i | −0.0381879 | − | 0.232936i | ||||
\(377\) | −671.989 | + | 636.542i | −0.0918016 | + | 0.0869591i | ||||
\(378\) | 369.807 | − | 487.143i | 0.0503196 | − | 0.0662855i | ||||
\(379\) | −1132.58 | − | 860.963i | −0.153500 | − | 0.116688i | 0.525605 | − | 0.850729i | \(-0.323839\pi\) |
−0.679105 | + | 0.734041i | \(0.737632\pi\) | |||||||
\(380\) | 3525.30 | + | 4637.45i | 0.475905 | + | 0.626042i | ||||
\(381\) | −2657.13 | − | 5235.41i | −0.357294 | − | 0.703985i | ||||
\(382\) | −2848.91 | − | 5373.60i | −0.381578 | − | 0.719732i | ||||
\(383\) | −3703.08 | + | 200.775i | −0.494044 | + | 0.0267863i | −0.299478 | − | 0.954103i | \(-0.596812\pi\) |
−0.194566 | + | 0.980889i | \(0.562330\pi\) | |||||||
\(384\) | 2624.72 | + | 2576.61i | 0.348807 | + | 0.342414i | ||||
\(385\) | 1410.16 | − | 747.620i | 0.186671 | − | 0.0989668i | ||||
\(386\) | −379.280 | + | 1366.04i | −0.0500125 | + | 0.180129i | ||||
\(387\) | 6038.15 | − | 3786.89i | 0.793118 | − | 0.497412i | ||||
\(388\) | −3555.37 | + | 4677.01i | −0.465198 | + | 0.611957i | ||||
\(389\) | 6134.13 | − | 1703.13i | 0.799519 | − | 0.221985i | 0.156342 | − | 0.987703i | \(-0.450030\pi\) |
0.643177 | + | 0.765718i | \(0.277616\pi\) | |||||||
\(390\) | −45.4005 | + | 629.478i | −0.00589473 | + | 0.0817304i | ||||
\(391\) | 4195.04 | − | 687.741i | 0.542589 | − | 0.0889529i | ||||
\(392\) | 6723.18 | + | 4045.20i | 0.866255 | + | 0.521208i | ||||
\(393\) | −2465.58 | + | 782.075i | −0.316468 | + | 0.100383i | ||||
\(394\) | −6378.15 | − | 3381.48i | −0.815550 | − | 0.432377i | ||||
\(395\) | −1017.69 | + | 1074.36i | −0.129634 | + | 0.136853i | ||||
\(396\) | −3382.23 | − | 2766.85i | −0.429201 | − | 0.351109i | ||||
\(397\) | 2008.13 | − | 9123.02i | 0.253867 | − | 1.15333i | −0.661258 | − | 0.750158i | \(-0.729977\pi\) |
0.915125 | − | 0.403170i | \(-0.132092\pi\) | |||||||
\(398\) | 5860.51 | − | 637.368i | 0.738092 | − | 0.0802723i | ||||
\(399\) | −231.216 | + | 778.623i | −0.0290107 | + | 0.0976940i | ||||
\(400\) | 982.508 | + | 1156.70i | 0.122814 | + | 0.144587i | ||||
\(401\) | −11742.3 | + | 3956.43i | −1.46230 | + | 0.492705i | −0.934284 | − | 0.356530i | \(-0.883960\pi\) |
−0.528014 | + | 0.849236i | \(0.677063\pi\) | |||||||
\(402\) | 1735.92 | + | 1222.73i | 0.215373 | + | 0.151702i | ||||
\(403\) | −410.845 | + | 1031.14i | −0.0507832 | + | 0.127456i | ||||
\(404\) | −1567.75 | + | 1845.70i | −0.193066 | + | 0.227295i | ||||
\(405\) | 13165.4 | + | 4689.14i | 1.61529 | + | 0.575322i | ||||
\(406\) | −973.835 | + | 660.277i | −0.119041 | + | 0.0807118i | ||||
\(407\) | 7220.82 | − | 2877.04i | 0.879417 | − | 0.350392i | ||||
\(408\) | −5613.25 | − | 12723.5i | −0.681121 | − | 1.54389i | ||||
\(409\) | −434.109 | + | 3991.56i | −0.0524824 | + | 0.482568i | 0.938172 | + | 0.346170i | \(0.112518\pi\) |
−0.990654 | + | 0.136398i | \(0.956448\pi\) | |||||||
\(410\) | −12729.9 | + | 5889.46i | −1.53337 | + | 0.709414i | ||||
\(411\) | 6639.35 | − | 5438.70i | 0.796824 | − | 0.652728i | ||||
\(412\) | − | 310.109i | − | 0.0370825i | ||||||
\(413\) | −637.014 | + | 859.026i | −0.0758968 | + | 0.102348i | ||||
\(414\) | −165.273 | + | 1834.81i | −0.0196201 | + | 0.217817i | ||||
\(415\) | 19531.0 | + | 1058.94i | 2.31021 | + | 0.125256i | ||||
\(416\) | −251.234 | − | 543.034i | −0.0296100 | − | 0.0640011i | ||||
\(417\) | 9045.62 | − | 6625.14i | 1.06227 | − | 0.778020i | ||||
\(418\) | −4091.18 | − | 1378.48i | −0.478723 | − | 0.161301i | ||||
\(419\) | −999.348 | − | 2508.17i | −0.116519 | − | 0.292440i | 0.859138 | − | 0.511744i | \(-0.171000\pi\) |
−0.975656 | + | 0.219305i | \(0.929621\pi\) | |||||||
\(420\) | 250.558 | − | 1048.84i | 0.0291095 | − | 0.121853i | ||||
\(421\) | 1971.56 | + | 323.220i | 0.228237 | + | 0.0374175i | 0.274815 | − | 0.961497i | \(-0.411383\pi\) |
−0.0465782 | + | 0.998915i | \(0.514832\pi\) | |||||||
\(422\) | 159.132 | + | 135.168i | 0.0183565 | + | 0.0155921i | ||||
\(423\) | 1782.53 | + | 903.204i | 0.204893 | + | 0.103819i | ||||
\(424\) | 915.195 | + | 4157.77i | 0.104825 | + | 0.476225i | ||||
\(425\) | 8912.64 | + | 26451.8i | 1.01724 | + | 3.01906i | ||||
\(426\) | −685.490 | + | 5404.43i | −0.0779627 | + | 0.614661i | ||||
\(427\) | −153.733 | − | 255.506i | −0.0174230 | − | 0.0289573i | ||||
\(428\) | 6.48903 | + | 59.6656i | 0.000732848 | + | 0.00673843i | ||||
\(429\) | 314.479 | + | 544.416i | 0.0353920 | + | 0.0612695i | ||||
\(430\) | −5246.41 | + | 7737.88i | −0.588382 | + | 0.867799i | ||||
\(431\) | 2101.10 | + | 1990.26i | 0.234817 | + | 0.222431i | 0.796056 | − | 0.605224i | \(-0.206916\pi\) |
−0.561238 | + | 0.827654i | \(0.689675\pi\) | |||||||
\(432\) | 866.296 | − | 142.612i | 0.0964807 | − | 0.0158829i | ||||
\(433\) | −459.379 | − | 212.531i | −0.0509846 | − | 0.0235880i | 0.394231 | − | 0.919011i | \(-0.371011\pi\) |
−0.445216 | + | 0.895423i | \(0.646873\pi\) | |||||||
\(434\) | −727.408 | + | 1208.96i | −0.0804533 | + | 0.133714i | ||||
\(435\) | −21109.5 | − | 16649.3i | −2.32672 | − | 1.83511i | ||||
\(436\) | 4770.42 | + | 5036.07i | 0.523995 | + | 0.553174i | ||||
\(437\) | −654.517 | − | 2357.36i | −0.0716471 | − | 0.258050i | ||||
\(438\) | −608.557 | − | 6706.26i | −0.0663881 | − | 0.731593i | ||||
\(439\) | 4862.20 | − | 3696.15i | 0.528611 | − | 0.401839i | −0.306542 | − | 0.951857i | \(-0.599172\pi\) |
0.835153 | + | 0.550018i | \(0.185379\pi\) | |||||||
\(440\) | 15154.1 | + | 4207.52i | 1.64192 | + | 0.455877i | ||||
\(441\) | −8399.75 | + | 3528.16i | −0.907003 | + | 0.380970i | ||||
\(442\) | 39.4780 | + | 728.128i | 0.00424836 | + | 0.0783564i | ||||
\(443\) | −868.272 | − | 16014.3i | −0.0931215 | − | 1.71753i | −0.556066 | − | 0.831138i | \(-0.687690\pi\) |
0.462945 | − | 0.886387i | \(-0.346793\pi\) | |||||||
\(444\) | 1765.31 | − | 4945.95i | 0.188689 | − | 0.528658i | ||||
\(445\) | −20164.2 | − | 5598.57i | −2.14804 | − | 0.596399i | ||||
\(446\) | −3359.75 | + | 2554.01i | −0.356701 | + | 0.271157i | ||||
\(447\) | 10173.2 | − | 923.165i | 1.07646 | − | 0.0976828i | ||||
\(448\) | −235.078 | − | 846.673i | −0.0247910 | − | 0.0892892i | ||||
\(449\) | −536.480 | − | 566.355i | −0.0563876 | − | 0.0595277i | 0.697191 | − | 0.716885i | \(-0.254433\pi\) |
−0.753579 | + | 0.657357i | \(0.771674\pi\) | |||||||
\(450\) | −12064.5 | + | 878.184i | −1.26384 | + | 0.0919956i | ||||
\(451\) | −7203.83 | + | 11972.9i | −0.752140 | + | 1.25007i | ||||
\(452\) | −1458.96 | − | 674.986i | −0.151822 | − | 0.0702404i | ||||
\(453\) | −4848.04 | + | 1253.37i | −0.502827 | + | 0.129997i | ||||
\(454\) | 1778.01 | + | 1684.22i | 0.183802 | + | 0.174107i | ||||
\(455\) | −87.0694 | + | 128.418i | −0.00897115 | + | 0.0132315i | ||||
\(456\) | −6930.33 | + | 4003.27i | −0.711716 | + | 0.411119i | ||||
\(457\) | −855.360 | − | 7864.90i | −0.0875537 | − | 0.805043i | −0.952780 | − | 0.303661i | \(-0.901791\pi\) |
0.865226 | − | 0.501381i | \(-0.167175\pi\) | |||||||
\(458\) | 2804.42 | + | 4660.99i | 0.286118 | + | 0.475532i | ||||
\(459\) | 15772.3 | + | 3460.78i | 1.60389 | + | 0.351929i | ||||
\(460\) | 1037.13 | + | 3078.11i | 0.105123 | + | 0.311994i | ||||
\(461\) | 1046.49 | + | 4754.24i | 0.105726 | + | 0.480319i | 0.999495 | + | 0.0317901i | \(0.0101208\pi\) |
−0.893768 | + | 0.448529i | \(0.851948\pi\) | |||||||
\(462\) | 282.521 | + | 747.578i | 0.0284504 | + | 0.0752825i | ||||
\(463\) | −310.856 | − | 264.044i | −0.0312024 | − | 0.0265036i | 0.631649 | − | 0.775254i | \(-0.282378\pi\) |
−0.662852 | + | 0.748751i | \(0.730654\pi\) | |||||||
\(464\) | −1666.70 | − | 273.242i | −0.166756 | − | 0.0273383i | ||||
\(465\) | −31357.9 | − | 7491.10i | −3.12728 | − | 0.747078i | ||||
\(466\) | −2976.14 | − | 7469.56i | −0.295852 | − | 0.742533i | ||||
\(467\) | 14896.3 | + | 5019.15i | 1.47606 | + | 0.497342i | 0.938319 | − | 0.345770i | \(-0.112382\pi\) |
0.537738 | + | 0.843112i | \(0.319279\pi\) | |||||||
\(468\) | 416.464 | + | 83.6258i | 0.0411347 | + | 0.00825984i | ||||
\(469\) | 219.180 | + | 473.750i | 0.0215795 | + | 0.0466434i | ||||
\(470\) | −2617.26 | − | 141.904i | −0.256862 | − | 0.0139266i | ||||
\(471\) | 1925.62 | + | 2106.87i | 0.188382 | + | 0.206114i | ||||
\(472\) | −10378.2 | + | 1828.61i | −1.01206 | + | 0.178323i | ||||
\(473\) | 9313.29i | 0.905339i | ||||||||
\(474\) | −469.552 | − | 573.211i | −0.0455005 | − | 0.0555453i | ||||
\(475\) | 14579.6 | − | 6745.22i | 1.40833 | − | 0.651562i | ||||
\(476\) | 134.711 | − | 1238.64i | 0.0129715 | − | 0.119271i | ||||
\(477\) | −4524.05 | − | 1992.30i | −0.434260 | − | 0.191240i | ||||
\(478\) | −255.470 | + | 101.789i | −0.0244455 | + | 0.00973998i | ||||
\(479\) | 1800.15 | − | 1220.53i | 0.171714 | − | 0.116425i | −0.472303 | − | 0.881436i | \(-0.656577\pi\) |
0.644017 | + | 0.765012i | \(0.277267\pi\) | |||||||
\(480\) | 14556.2 | − | 9494.88i | 1.38416 | − | 0.902875i | ||||
\(481\) | −489.155 | + | 575.878i | −0.0463692 | + | 0.0545900i | ||||
\(482\) | −75.0842 | + | 188.447i | −0.00709542 | + | 0.0178082i | ||||
\(483\) | −260.803 | + | 370.264i | −0.0245693 | + | 0.0348811i | ||||
\(484\) | −375.076 | + | 126.378i | −0.0352250 | + | 0.0118687i | ||||
\(485\) | 15894.6 | + | 18712.5i | 1.48811 | + | 1.75194i | ||||
\(486\) | −3158.74 | + | 6244.24i | −0.294822 | + | 0.582808i | ||||
\(487\) | −15104.7 | + | 1642.74i | −1.40546 | + | 0.152853i | −0.779208 | − | 0.626766i | \(-0.784378\pi\) |
−0.626254 | + | 0.779619i | \(0.715413\pi\) | |||||||
\(488\) | 631.643 | − | 2869.58i | 0.0585924 | − | 0.266188i | ||||
\(489\) | −113.320 | − | 777.870i | −0.0104796 | − | 0.0719356i | ||||
\(490\) | 8218.10 | − | 8675.74i | 0.757665 | − | 0.799857i | ||||
\(491\) | 4172.08 | + | 2211.90i | 0.383470 | + | 0.203303i | 0.648980 | − | 0.760805i | \(-0.275196\pi\) |
−0.265511 | + | 0.964108i | \(0.585541\pi\) | |||||||
\(492\) | 2854.34 | + | 8998.64i | 0.261552 | + | 0.824574i | ||||
\(493\) | −26617.0 | − | 16014.9i | −2.43158 | − | 1.46303i | ||||
\(494\) | 414.135 | − | 67.8940i | 0.0377183 | − | 0.00618360i | ||||
\(495\) | −14331.1 | + | 11318.5i | −1.30128 | + | 1.02773i | ||||
\(496\) | −1951.54 | + | 541.843i | −0.176667 | + | 0.0490513i | ||||
\(497\) | −810.489 | + | 1066.18i | −0.0731497 | + | 0.0962267i | ||||
\(498\) | −1756.56 | + | 9634.97i | −0.158059 | + | 0.866975i | ||||
\(499\) | −3758.76 | + | 13537.8i | −0.337205 | + | 1.21450i | 0.579511 | + | 0.814964i | \(0.303244\pi\) |
−0.916716 | + | 0.399539i | \(0.869170\pi\) | |||||||
\(500\) | −9131.02 | + | 4840.96i | −0.816703 | + | 0.432989i | ||||
\(501\) | −6670.42 | + | 6794.96i | −0.594836 | + | 0.605941i | ||||
\(502\) | 14048.4 | − | 761.680i | 1.24902 | − | 0.0677200i | ||||
\(503\) | 10214.4 | + | 19266.5i | 0.905446 | + | 1.70785i | 0.679448 | + | 0.733724i | \(0.262219\pi\) |
0.225998 | + | 0.974128i | \(0.427436\pi\) | |||||||
\(504\) | 1386.26 | + | 522.838i | 0.122518 | + | 0.0462085i | ||||
\(505\) | 6124.56 | + | 8056.72i | 0.539682 | + | 0.709939i | ||||
\(506\) | −1916.38 | − | 1456.80i | −0.168367 | − | 0.127989i | ||||
\(507\) | 9623.53 | + | 6026.60i | 0.842990 | + | 0.527911i | ||||
\(508\) | 3762.97 | − | 3564.48i | 0.328651 | − | 0.311315i | ||||
\(509\) | 36.7691 | + | 224.281i | 0.00320189 | + | 0.0195307i | 0.988379 | − | 0.152009i | \(-0.0485742\pi\) |
−0.985177 | + | 0.171539i | \(0.945126\pi\) | |||||||
\(510\) | −20762.9 | + | 4183.51i | −1.80274 | + | 0.363233i | ||||
\(511\) | 695.099 | − | 1502.43i | 0.0601749 | − | 0.130066i | ||||
\(512\) | 1056.68 | − | 1993.11i | 0.0912093 | − | 0.172039i | ||||
\(513\) | 998.637 | − | 9239.31i | 0.0859472 | − | 0.795176i | ||||
\(514\) | 8198.44 | + | 5558.68i | 0.703536 | + | 0.477009i | ||||
\(515\) | −1265.67 | − | 278.595i | −0.108295 | − | 0.0238376i | ||||
\(516\) | 4722.34 | + | 4158.42i | 0.402886 | + | 0.354775i | ||||
\(517\) | −2237.38 | + | 1346.19i | −0.190329 | + | 0.114517i | ||||
\(518\) | −732.016 | + | 621.780i | −0.0620906 | + | 0.0527403i | ||||
\(519\) | 6038.06 | − | 10914.1i | 0.510677 | − | 0.923077i | ||||
\(520\) | −1493.08 | + | 328.653i | −0.125916 | + | 0.0277161i | ||||
\(521\) | −14484.6 | − | 5771.20i | −1.21801 | − | 0.485299i | −0.329498 | − | 0.944156i | \(-0.606880\pi\) |
−0.888510 | + | 0.458857i | \(0.848259\pi\) | |||||||
\(522\) | 9600.27 | − | 9436.83i | 0.804967 | − | 0.791262i | ||||
\(523\) | 1558.72 | − | 9507.76i | 0.130321 | − | 0.794924i | −0.838084 | − | 0.545542i | \(-0.816324\pi\) |
0.968405 | − | 0.249383i | \(-0.0802277\pi\) | |||||||
\(524\) | −1281.51 | − | 1890.08i | −0.106838 | − | 0.157574i | ||||
\(525\) | −2676.23 | − | 1296.59i | −0.222476 | − | 0.107786i | ||||
\(526\) | 2682.34 | − | 7960.90i | 0.222349 | − | 0.659909i | ||||
\(527\) | −37032.5 | − | 4027.53i | −3.06103 | − | 0.332907i | ||||
\(528\) | −443.566 | + | 1057.99i | −0.0365601 | + | 0.0872032i | ||||
\(529\) | −584.853 | + | 10787.0i | −0.0480688 | + | 0.886577i | ||||
\(530\) | 6483.97 | 0.531407 | ||||||||
\(531\) | 5400.14 | − | 10980.0i | 0.441330 | − | 0.897345i | ||||
\(532\) | −717.060 | −0.0584370 | ||||||||
\(533\) | 73.5361 | − | 1356.29i | 0.00597599 | − | 0.110221i | ||||
\(534\) | 4051.45 | − | 9663.52i | 0.328321 | − | 0.783112i | ||||
\(535\) | 249.347 | + | 27.1182i | 0.0201500 | + | 0.00219144i | ||||
\(536\) | −1642.36 | + | 4874.35i | −0.132349 | + | 0.392798i | ||||
\(537\) | −9557.21 | − | 4630.31i | −0.768015 | − | 0.372090i | ||||
\(538\) | 3578.65 | + | 5278.11i | 0.286778 | + | 0.422965i | ||||
\(539\) | 1925.98 | − | 11747.9i | 0.153910 | − | 0.938812i | ||||
\(540\) | −659.796 | + | 12320.3i | −0.0525798 | + | 0.981821i | ||||
\(541\) | −10539.5 | − | 4199.34i | −0.837579 | − | 0.333722i | −0.0883964 | − | 0.996085i | \(-0.528174\pi\) |
−0.749183 | + | 0.662363i | \(0.769554\pi\) | |||||||
\(542\) | 4453.99 | − | 980.397i | 0.352980 | − | 0.0776968i | ||||
\(543\) | −9854.05 | + | 17811.7i | −0.778780 | + | 1.40769i | ||||
\(544\) | 15304.3 | − | 12999.6i | 1.20619 | − | 1.02455i | ||||
\(545\) | 24839.7 | − | 14945.6i | 1.95232 | − | 1.17467i | ||||
\(546\) | −58.3037 | − | 51.3413i | −0.00456990 | − | 0.00402418i | ||||
\(547\) | 5133.96 | + | 1130.07i | 0.401302 | + | 0.0883332i | 0.411035 | − | 0.911619i | \(-0.365167\pi\) |
−0.00973351 | + | 0.999953i | \(0.503098\pi\) | |||||||
\(548\) | 6271.36 | + | 4252.09i | 0.488867 | + | 0.331460i | ||||
\(549\) | 2256.43 | + | 2559.00i | 0.175414 | + | 0.198935i | ||||
\(550\) | 7403.78 | − | 13965.0i | 0.573997 | − | 1.08267i | ||||
\(551\) | −7506.56 | + | 16225.2i | −0.580382 | + | 1.25447i | ||||
\(552\) | −4374.78 | + | 881.473i | −0.337324 | + | 0.0679674i | ||||
\(553\) | −29.4705 | − | 179.762i | −0.00226621 | − | 0.0138232i | ||||
\(554\) | 10634.3 | − | 10073.4i | 0.815540 | − | 0.772520i | ||||
\(555\) | −18600.3 | − | 11648.2i | −1.42260 | − | 0.890881i | ||||
\(556\) | 7880.18 | + | 5990.36i | 0.601068 | + | 0.456920i | ||||
\(557\) | 779.433 | + | 1025.33i | 0.0592920 | + | 0.0779973i | 0.824783 | − | 0.565449i | \(-0.191297\pi\) |
−0.765491 | + | 0.643446i | \(0.777504\pi\) | |||||||
\(558\) | 5696.79 | − | 15104.5i | 0.432194 | − | 1.14593i | ||||
\(559\) | −424.062 | − | 799.866i | −0.0320857 | − | 0.0605201i | ||||
\(560\) | −282.690 | + | 15.3270i | −0.0213318 | + | 0.00115658i | ||||
\(561\) | −14781.2 | + | 15057.1i | −1.11241 | + | 1.13318i | ||||
\(562\) | −3460.05 | + | 1834.40i | −0.259703 | + | 0.137686i | ||||
\(563\) | −5272.46 | + | 18989.7i | −0.394685 | + | 1.42153i | 0.453230 | + | 0.891394i | \(0.350272\pi\) |
−0.847915 | + | 0.530133i | \(0.822142\pi\) | |||||||
\(564\) | −316.410 | + | 1735.55i | −0.0236228 | + | 0.129574i | ||||
\(565\) | −4065.56 | + | 5348.16i | −0.302725 | + | 0.398228i | ||||
\(566\) | 5414.15 | − | 1503.23i | 0.402074 | − | 0.111635i | ||||
\(567\) | −1440.25 | + | 940.828i | −0.106675 | + | 0.0696844i | ||||
\(568\) | −13022.9 | + | 2135.00i | −0.962023 | + | 0.157716i | ||||
\(569\) | 9779.37 | + | 5884.05i | 0.720514 | + | 0.433519i | 0.828030 | − | 0.560684i | \(-0.189462\pi\) |
−0.107515 | + | 0.994203i | \(0.534289\pi\) | |||||||
\(570\) | 3685.50 | + | 11619.0i | 0.270822 | + | 0.853799i | ||||
\(571\) | 12979.5 | + | 6881.31i | 0.951273 | + | 0.504333i | 0.870375 | − | 0.492390i | \(-0.163876\pi\) |
0.0808977 | + | 0.996722i | \(0.474221\pi\) | |||||||
\(572\) | −381.708 | + | 402.965i | −0.0279021 | + | 0.0294559i | ||||
\(573\) | 2466.19 | + | 16928.8i | 0.179802 | + | 1.23423i | ||||
\(574\) | 371.159 | − | 1686.19i | 0.0269893 | − | 0.122614i | ||||
\(575\) | 8904.86 | − | 968.462i | 0.645841 | − | 0.0702394i | ||||
\(576\) | 4389.48 | + | 9044.83i | 0.317526 | + | 0.654285i | ||||
\(577\) | 2225.94 | + | 2620.57i | 0.160601 | + | 0.189074i | 0.836577 | − | 0.547850i | \(-0.184553\pi\) |
−0.675976 | + | 0.736924i | \(0.736278\pi\) | |||||||
\(578\) | −14590.0 | + | 4915.93i | −1.04994 | + | 0.353764i | ||||
\(579\) | 2296.36 | − | 3260.16i | 0.164825 | − | 0.234003i | ||||
\(580\) | 8785.24 | − | 22049.3i | 0.628943 | − | 1.57853i | ||||
\(581\) | −1558.71 | + | 1835.05i | −0.111301 | + | 0.131034i | ||||
\(582\) | −10296.6 | + | 6716.39i | −0.733346 | + | 0.478356i | ||||
\(583\) | 5346.34 | − | 3624.91i | 0.379799 | − | 0.257510i | ||||
\(584\) | 15153.7 | − | 6037.77i | 1.07374 | − | 0.427816i | ||||
\(585\) | 715.450 | − | 1624.62i | 0.0505645 | − | 0.114820i | ||||
\(586\) | −185.515 | + | 1705.79i | −0.0130778 | + | 0.120248i | ||||
\(587\) | −13480.7 | + | 6236.83i | −0.947883 | + | 0.438538i | −0.832031 | − | 0.554729i | \(-0.812822\pi\) |
−0.115852 | + | 0.993266i | \(0.536960\pi\) | |||||||
\(588\) | −5096.88 | − | 6222.07i | −0.357469 | − | 0.436384i | ||||
\(589\) | 21438.4i | 1.49975i | ||||||||
\(590\) | −677.962 | + | 16035.3i | −0.0473072 | + | 1.11892i | ||||
\(591\) | 13699.1 | + | 14988.5i | 0.953476 | + | 1.04322i | ||||
\(592\) | −1376.69 | − | 74.6418i | −0.0955768 | − | 0.00518203i | ||||
\(593\) | −9465.43 | − | 20459.2i | −0.655478 | − | 1.41679i | −0.895073 | − | 0.445920i | \(-0.852877\pi\) |
0.239595 | − | 0.970873i | \(-0.422985\pi\) | |||||||
\(594\) | −4719.34 | − | 7831.85i | −0.325988 | − | 0.540984i | ||||
\(595\) | −4934.34 | − | 1662.57i | −0.339981 | − | 0.114553i | ||||
\(596\) | 3337.96 | + | 8377.64i | 0.229410 | + | 0.575774i | ||||
\(597\) | −16127.7 | − | 3852.74i | −1.10563 | − | 0.264124i | ||||
\(598\) | 230.920 | + | 37.8574i | 0.0157910 | + | 0.00258880i | ||||
\(599\) | 760.311 | + | 645.814i | 0.0518622 | + | 0.0440522i | 0.672943 | − | 0.739695i | \(-0.265030\pi\) |
−0.621080 | + | 0.783747i | \(0.713306\pi\) | |||||||
\(600\) | −10358.9 | − | 27410.7i | −0.704834 | − | 1.86506i | ||||
\(601\) | −5282.80 | − | 24000.0i | −0.358552 | − | 1.62892i | −0.718204 | − | 0.695833i | \(-0.755036\pi\) |
0.359652 | − | 0.933087i | \(-0.382895\pi\) | |||||||
\(602\) | −367.448 | − | 1090.55i | −0.0248772 | − | 0.0738329i | ||||
\(603\) | −3442.50 | − | 4880.46i | −0.232487 | − | 0.329598i | ||||
\(604\) | −2279.12 | − | 3787.92i | −0.153536 | − | 0.255179i | ||||
\(605\) | 178.835 | + | 1644.36i | 0.0120176 | + | 0.110500i | ||||
\(606\) | −4387.93 | + | 2534.66i | −0.294137 | + | 0.169907i | ||||
\(607\) | −8897.84 | + | 13123.3i | −0.594979 | + | 0.877528i | −0.999312 | − | 0.0370838i | \(-0.988193\pi\) |
0.404334 | + | 0.914612i | \(0.367503\pi\) | |||||||
\(608\) | −8389.90 | − | 7947.34i | −0.559631 | − | 0.530110i | ||||
\(609\) | 3204.08 | − | 828.358i | 0.213195 | − | 0.0551178i | ||||
\(610\) | −4061.46 | − | 1879.03i | −0.269580 | − | 0.124721i | ||||
\(611\) | 130.860 | − | 217.492i | 0.00866456 | − | 0.0144006i | ||||
\(612\) | 1034.93 | + | 14217.9i | 0.0683573 | + | 0.939093i | ||||
\(613\) | −19522.1 | − | 20609.3i | −1.28628 | − | 1.35791i | −0.900218 | − | 0.435440i | \(-0.856593\pi\) |
−0.386065 | − | 0.922472i | \(-0.626166\pi\) | |||||||
\(614\) | −514.128 | − | 1851.72i | −0.0337924 | − | 0.121709i | ||||
\(615\) | 39291.1 | − | 3565.45i | 2.57621 | − | 0.233777i | ||||
\(616\) | −1541.21 | + | 1171.59i | −0.100807 | + | 0.0766313i | ||||
\(617\) | 20164.6 | + | 5598.67i | 1.31572 | + | 0.365307i | 0.853329 | − | 0.521372i | \(-0.174580\pi\) |
0.462386 | + | 0.886679i | \(0.346993\pi\) | |||||||
\(618\) | 218.131 | − | 611.149i | 0.0141983 | − | 0.0397800i | ||||
\(619\) | 1246.35 | + | 22987.6i | 0.0809292 | + | 1.49265i | 0.703840 | + | 0.710358i | \(0.251467\pi\) |
−0.622911 | + | 0.782293i | \(0.714050\pi\) | |||||||
\(620\) | −1540.94 | − | 28420.9i | −0.0998154 | − | 1.84099i | ||||
\(621\) | 2172.66 | − | 4704.32i | 0.140396 | − | 0.303990i | ||||
\(622\) | 3684.23 | + | 1022.92i | 0.237499 | + | 0.0659412i | ||||
\(623\) | 2050.75 | − | 1558.94i | 0.131880 | − | 0.100253i | ||||
\(624\) | −10.0783 | − | 111.062i | −0.000646561 | − | 0.00712507i | ||||
\(625\) | 3444.57 | + | 12406.2i | 0.220453 | + | 0.793999i | ||||
\(626\) | −10049.0 | − | 10608.6i | −0.641598 | − | 0.677326i | ||||
\(627\) | 9534.54 | + | 7519.99i | 0.607293 | + | 0.478978i | ||||
\(628\) | −1299.12 | + | 2159.15i | −0.0825484 | + | 0.137197i | ||||
\(629\) | −23013.8 | − | 10647.3i | −1.45886 | − | 0.674938i | ||||
\(630\) | 1231.55 | − | 1890.77i | 0.0778825 | − | 0.119571i | ||||
\(631\) | −5291.33 | − | 5012.22i | −0.333827 | − | 0.316218i | 0.502364 | − | 0.864656i | \(-0.332464\pi\) |
−0.836191 | + | 0.548439i | \(0.815222\pi\) | |||||||
\(632\) | 1007.32 | − | 1485.68i | 0.0634001 | − | 0.0935081i | ||||
\(633\) | −293.752 | − | 508.534i | −0.0184449 | − | 0.0319311i | ||||
\(634\) | −356.754 | − | 3280.30i | −0.0223478 | − | 0.205485i | ||||
\(635\) | −11167.4 | − | 18560.4i | −0.697897 | − | 1.15991i | ||||
\(636\) | 549.137 | − | 4329.42i | 0.0342370 | − | 0.269925i | ||||
\(637\) | 369.508 | + | 1096.66i | 0.0229834 | + | 0.0682124i | ||||
\(638\) | 3781.40 | + | 17179.1i | 0.234651 | + | 1.06603i | ||||
\(639\) | 6925.89 | − | 13668.7i | 0.428770 | − | 0.846205i | ||||
\(640\) | 10342.4 | + | 8784.95i | 0.638782 | + | 0.542587i | ||||
\(641\) | 7176.42 | + | 1176.51i | 0.442202 | + | 0.0724954i | 0.378770 | − | 0.925491i | \(-0.376347\pi\) |
0.0634322 | + | 0.997986i | \(0.479795\pi\) | |||||||
\(642\) | −29.1807 | + | 122.151i | −0.00179388 | + | 0.00750920i | ||||
\(643\) | −9878.56 | − | 24793.3i | −0.605867 | − | 1.52061i | −0.836725 | − | 0.547624i | \(-0.815533\pi\) |
0.230858 | − | 0.972987i | \(-0.425847\pi\) | |||||||
\(644\) | −378.899 | − | 127.666i | −0.0231844 | − | 0.00781172i | ||||
\(645\) | 21214.5 | − | 15537.8i | 1.29507 | − | 0.948527i | ||||
\(646\) | 5913.69 | + | 12782.2i | 0.360172 | + | 0.778498i | ||||
\(647\) | −7775.47 | − | 421.574i | −0.472466 | − | 0.0256163i | −0.183631 | − | 0.982995i | \(-0.558785\pi\) |
−0.288835 | + | 0.957379i | \(0.593268\pi\) | |||||||
\(648\) | −16678.6 | − | 3029.27i | −1.01111 | − | 0.183644i | ||||
\(649\) | 8405.65 | + | 13600.9i | 0.508398 | + | 0.822623i | ||||
\(650\) | 1536.49i | 0.0927173i | ||||||||
\(651\) | 3070.06 | − | 2514.88i | 0.184831 | − | 0.151407i | ||||
\(652\) | 629.836 | − | 291.393i | 0.0378317 | − | 0.0175028i | ||||
\(653\) | −2600.00 | + | 23906.6i | −0.155813 | + | 1.43267i | 0.611420 | + | 0.791306i | \(0.290598\pi\) |
−0.767233 | + | 0.641368i | \(0.778367\pi\) | |||||||
\(654\) | 5858.94 | + | 13280.4i | 0.350310 | + | 0.794043i | ||||
\(655\) | −8865.42 | + | 3532.31i | −0.528856 | + | 0.210715i | ||||
\(656\) | 2051.39 | − | 1390.88i | 0.122093 | − | 0.0827813i | ||||
\(657\) | −4728.74 | + | 18340.9i | −0.280800 | + | 1.08911i | ||||
\(658\) | 208.876 | − | 245.907i | 0.0123751 | − | 0.0145691i | ||||
\(659\) | 4728.77 | − | 11868.3i | 0.279525 | − | 0.701554i | −0.720443 | − | 0.693514i | \(-0.756061\pi\) |
0.999968 | − | 0.00804002i | \(-0.00255925\pi\) | |||||||
\(660\) | −13180.5 | − | 9283.94i | −0.777347 | − | 0.547541i | ||||
\(661\) | −4200.43 | + | 1415.29i | −0.247168 | + | 0.0832805i | −0.440159 | − | 0.897920i | \(-0.645078\pi\) |
0.192991 | + | 0.981201i | \(0.438181\pi\) | |||||||
\(662\) | −2627.44 | − | 3093.26i | −0.154257 | − | 0.181606i | ||||
\(663\) | 583.875 | − | 1966.20i | 0.0342018 | − | 0.115175i | ||||
\(664\) | −23585.7 | + | 2565.10i | −1.37847 | + | 0.149917i | ||||
\(665\) | −644.191 | + | 2926.59i | −0.0375649 | + | 0.170659i | ||||
\(666\) | 6957.98 | − | 8505.53i | 0.404829 | − | 0.494868i | ||||
\(667\) | −6855.26 | + | 7237.01i | −0.397956 | + | 0.420117i | ||||
\(668\) | −7426.98 | − | 3937.54i | −0.430178 | − | 0.228066i | ||||
\(669\) | 11315.1 | − | 3589.12i | 0.653913 | − | 0.207419i | ||||
\(670\) | 6712.46 | + | 4038.76i | 0.387052 | + | 0.232882i | ||||
\(671\) | −4399.35 | + | 721.237i | −0.253107 | + | 0.0414948i | ||||
\(672\) | −153.894 | + | 2133.74i | −0.00883424 | + | 0.122487i | ||||
\(673\) | 12641.6 | − | 3509.92i | 0.724068 | − | 0.201037i | 0.114108 | − | 0.993468i | \(-0.463599\pi\) |
0.609961 | + | 0.792432i | \(0.291185\pi\) | |||||||
\(674\) | 12655.6 | − | 16648.2i | 0.723258 | − | 0.951429i | ||||
\(675\) | 32790.3 | + | 9080.76i | 1.86978 | + | 0.517806i | ||||
\(676\) | −2681.81 | + | 9659.00i | −0.152584 | + | 0.549556i | ||||
\(677\) | −5189.84 | + | 2751.48i | −0.294626 | + | 0.156201i | −0.609165 | − | 0.793044i | \(-0.708495\pi\) |
0.314538 | + | 0.949245i | \(0.398150\pi\) | |||||||
\(678\) | −2400.46 | − | 2356.47i | −0.135972 | − | 0.133480i | ||||
\(679\) | −3017.79 | + | 163.620i | −0.170563 | + | 0.00924763i | ||||
\(680\) | −24032.9 | − | 45330.8i | −1.35532 | − | 2.55641i | ||||
\(681\) | −3117.66 | − | 6142.79i | −0.175432 | − | 0.345657i | ||||
\(682\) | 12765.6 | + | 16792.8i | 0.716743 | + | 0.942860i | ||||
\(683\) | 2776.26 | + | 2110.45i | 0.155535 | + | 0.118235i | 0.680047 | − | 0.733168i | \(-0.261959\pi\) |
−0.524512 | + | 0.851403i | \(0.675752\pi\) | |||||||
\(684\) | 8070.24 | − | 1476.82i | 0.451131 | − | 0.0825551i | ||||
\(685\) | 22988.4 | − | 21775.8i | 1.28225 | − | 1.21461i | ||||
\(686\) | 479.891 | + | 2927.20i | 0.0267089 | + | 0.162917i | ||||
\(687\) | −3022.14 | − | 14999.0i | −0.167834 | − | 0.832966i | ||||
\(688\) | 693.632 | − | 1499.26i | 0.0384367 | − | 0.0830796i | ||||
\(689\) | −294.114 | + | 554.759i | −0.0162625 | + | 0.0306743i | ||||
\(690\) | −121.208 | + | 6795.72i | −0.00668742 | + | 0.374940i | ||||
\(691\) | 5384.83 | + | 3651.01i | 0.296453 | + | 0.201000i | 0.700341 | − | 0.713808i | \(-0.253031\pi\) |
−0.403888 | + | 0.914808i | \(0.632342\pi\) | |||||||
\(692\) | 10754.1 | + | 2367.16i | 0.590767 | + | 0.130038i | ||||
\(693\) | −41.5778 | − | 2247.53i | −0.00227909 | − | 0.123199i | ||||
\(694\) | 11094.4 | − | 6675.29i | 0.606828 | − | 0.365116i | ||||
\(695\) | 31528.3 | − | 26780.3i | 1.72077 | − | 1.46164i | ||||
\(696\) | 28534.5 | + | 15786.3i | 1.55402 | + | 0.859737i | ||||
\(697\) | 44518.4 | − | 9799.23i | 2.41930 | − | 0.532529i | ||||
\(698\) | 1839.03 | + | 732.738i | 0.0997255 | + | 0.0397343i | ||||
\(699\) | 821.504 | + | 22601.5i | 0.0444523 | + | 1.22299i | ||||
\(700\) | 424.732 | − | 2590.75i | 0.0229334 | − | 0.139888i | ||||
\(701\) | 17308.1 | + | 25527.5i | 0.932550 | + | 1.37541i | 0.926853 | + | 0.375425i | \(0.122503\pi\) |
0.00569709 | + | 0.999984i | \(0.498187\pi\) | |||||||
\(702\) | 761.925 | + | 457.747i | 0.0409644 | + | 0.0246105i | ||||
\(703\) | −4659.75 | + | 13829.6i | −0.249994 | + | 0.741956i | ||||
\(704\) | −13060.0 | − | 1420.36i | −0.699173 | − | 0.0760397i | ||||
\(705\) | 6799.18 | + | 2850.57i | 0.363223 | + | 0.152282i | ||||
\(706\) | 474.127 | − | 8744.77i | 0.0252748 | − | 0.466167i | ||||
\(707\) | −1245.76 | −0.0662683 | ||||||||
\(708\) | 10649.5 | + | 1810.74i | 0.565302 | + | 0.0961181i | ||||
\(709\) | −12807.8 | −0.678429 | −0.339215 | − | 0.940709i | \(-0.610161\pi\) | ||||
−0.339215 | + | 0.940709i | \(0.610161\pi\) | |||||||
\(710\) | −1088.14 | + | 20069.5i | −0.0575169 | + | 1.06084i | ||||
\(711\) | 701.908 | + | 1962.46i | 0.0370234 | + | 0.103513i | ||||
\(712\) | 25234.5 | + | 2744.42i | 1.32824 | + | 0.144454i | ||||
\(713\) | −3816.91 | + | 11328.2i | −0.200483 | + | 0.595013i | ||||
\(714\) | 1136.75 | − | 2346.31i | 0.0595821 | − | 0.122981i | ||||
\(715\) | 1301.73 | + | 1919.91i | 0.0680866 | + | 0.100420i | ||||
\(716\) | 1516.78 | − | 9251.97i | 0.0791688 | − | 0.482908i | ||||
\(717\) | 773.007 | − | 28.0967i | 0.0402629 | − | 0.00146345i | ||||
\(718\) | 17683.5 | + | 7045.73i | 0.919138 | + | 0.366218i | ||||
\(719\) | −4308.85 | + | 948.449i | −0.223495 | + | 0.0491950i | −0.325306 | − | 0.945609i | \(-0.605467\pi\) |
0.101811 | + | 0.994804i | \(0.467536\pi\) | |||||||
\(720\) | 3150.00 | − | 754.713i | 0.163046 | − | 0.0390646i | ||||
\(721\) | 121.586 | − | 103.276i | 0.00628029 | − | 0.00533453i | ||||
\(722\) | −3911.92 | + | 2353.72i | −0.201644 | + | 0.121325i | ||||
\(723\) | 377.084 | − | 428.220i | 0.0193968 | − | 0.0220272i | ||||
\(724\) | −17550.6 | − | 3863.18i | −0.900916 | − | 0.198307i | ||||
\(725\) | −54175.5 | − | 36731.9i | −2.77521 | − | 1.88164i | ||||
\(726\) | −828.076 | − | 14.7696i | −0.0423317 | − | 0.000755027i | ||||
\(727\) | 297.260 | − | 560.693i | 0.0151648 | − | 0.0286038i | −0.875814 | − | 0.482649i | \(-0.839675\pi\) |
0.890979 | + | 0.454045i | \(0.150020\pi\) | |||||||
\(728\) | 79.0194 | − | 170.798i | 0.00402287 | − | 0.00869530i | ||||
\(729\) | 14271.8 | − | 13554.9i | 0.725083 | − | 0.688662i | ||||
\(730\) | −4019.29 | − | 24516.6i | −0.203782 | − | 1.24301i | ||||
\(731\) | 22057.7 | − | 20894.2i | 1.11605 | − | 1.05718i | ||||
\(732\) | −1598.62 | + | 2552.74i | −0.0807195 | + | 0.128896i | ||||
\(733\) | 7150.62 | + | 5435.76i | 0.360320 | + | 0.273908i | 0.769634 | − | 0.638486i | \(-0.220439\pi\) |
−0.409314 | + | 0.912394i | \(0.634232\pi\) | |||||||
\(734\) | −1583.08 | − | 2082.51i | −0.0796085 | − | 0.104723i | ||||
\(735\) | −29973.5 | + | 15212.5i | −1.50420 | + | 0.763431i | ||||
\(736\) | −3018.33 | − | 5693.17i | −0.151164 | − | 0.285126i | ||||
\(737\) | 7792.64 | − | 422.505i | 0.389478 | − | 0.0211169i | ||||
\(738\) | −704.455 | + | 19741.9i | −0.0351374 | + | 0.984700i | ||||
\(739\) | 22615.9 | − | 11990.2i | 1.12576 | − | 0.596842i | 0.201839 | − | 0.979419i | \(-0.435308\pi\) |
0.923924 | + | 0.382577i | \(0.124963\pi\) | |||||||
\(740\) | 5183.40 | − | 18668.9i | 0.257494 | − | 0.927409i | ||||
\(741\) | −1161.28 | − | 211.713i | −0.0575716 | − | 0.0104959i | ||||
\(742\) | −483.017 | + | 635.398i | −0.0238977 | + | 0.0314369i | ||||
\(743\) | 3837.87 | − | 1065.58i | 0.189499 | − | 0.0526142i | −0.171482 | − | 0.985187i | \(-0.554856\pi\) |
0.360981 | + | 0.932573i | \(0.382442\pi\) | |||||||
\(744\) | 39004.3 | + | 2813.15i | 1.92200 | + | 0.138623i | ||||
\(745\) | 37191.0 | − | 6097.16i | 1.82896 | − | 0.299843i | ||||
\(746\) | −17555.9 | − | 10563.0i | −0.861616 | − | 0.518417i | ||||
\(747\) | 13763.3 | − | 23863.1i | 0.674126 | − | 1.16881i | ||||
\(748\) | −16457.6 | − | 8725.29i | −0.804480 | − | 0.426508i | ||||
\(749\) | −21.2323 | + | 22.4147i | −0.00103580 | + | 0.00109348i | ||||
\(750\) | −21400.1 | + | 3117.57i | −1.04190 | + | 0.151783i | ||||
\(751\) | −5890.37 | + | 26760.2i | −0.286209 | + | 1.30026i | 0.585675 | + | 0.810546i | \(0.300829\pi\) |
−0.871884 | + | 0.489713i | \(0.837102\pi\) | |||||||
\(752\) | 460.437 | − | 50.0755i | 0.0223277 | − | 0.00242828i | ||||
\(753\) | −37935.6 | − | 11265.2i | −1.83592 | − | 0.545186i | ||||
\(754\) | −1106.98 | − | 1303.24i | −0.0534666 | − | 0.0629457i | ||||
\(755\) | −17507.4 | + | 5898.94i | −0.843922 | + | 0.284350i | ||||
\(756\) | −1158.18 | − | 982.448i | −0.0557179 | − | 0.0472636i | ||||
\(757\) | −7986.60 | + | 20044.9i | −0.383458 | + | 0.962408i | 0.602903 | + | 0.797815i | \(0.294011\pi\) |
−0.986361 | + | 0.164594i | \(0.947369\pi\) | |||||||
\(758\) | 1701.43 | − | 2003.08i | 0.0815288 | − | 0.0959832i | ||||
\(759\) | 3699.25 | + | 5671.15i | 0.176909 | + | 0.271212i | ||||
\(760\) | −24440.2 | + | 16570.8i | −1.16650 | + | 0.790905i | ||||
\(761\) | −5489.25 | + | 2187.12i | −0.261479 | + | 0.104183i | −0.497194 | − | 0.867640i | \(-0.665636\pi\) |
0.235715 | + | 0.971822i | \(0.424257\pi\) | |||||||
\(762\) | 9923.16 | − | 4377.83i | 0.471756 | − | 0.208126i | ||||
\(763\) | −385.817 | + | 3547.52i | −0.0183060 | + | 0.168321i | ||||
\(764\) | −13707.2 | + | 6341.61i | −0.649094 | + | 0.300303i | ||||
\(765\) | 58958.3 | + | 8549.11i | 2.78646 | + | 0.404044i | ||||
\(766\) | − | 6850.91i | − | 0.323151i | ||||||
\(767\) | −1341.20 | − | 785.371i | −0.0631396 | − | 0.0369727i | ||||
\(768\) | −16440.9 | + | 15026.5i | −0.772473 | + | 0.706019i | ||||
\(769\) | −28133.0 | − | 1525.33i | −1.31925 | − | 0.0715276i | −0.618980 | − | 0.785407i | \(-0.712454\pi\) |
−0.700269 | + | 0.713879i | \(0.746937\pi\) | |||||||
\(770\) | 1238.05 | + | 2676.00i | 0.0579431 | + | 0.125242i | ||||
\(771\) | −16462.6 | − | 22477.2i | −0.768983 | − | 1.04993i | ||||
\(772\) | 3336.19 | + | 1124.09i | 0.155534 | + | 0.0524055i | ||||
\(773\) | 8164.98 | + | 20492.5i | 0.379914 | + | 0.953513i | 0.987266 | + | 0.159080i | \(0.0508527\pi\) |
−0.607351 | + | 0.794433i | \(0.707768\pi\) | |||||||
\(774\) | 6381.53 | + | 11516.9i | 0.296356 | + | 0.534841i | ||||
\(775\) | −77457.4 | − | 12698.5i | −3.59013 | − | 0.588572i | ||||
\(776\) | −22697.3 | − | 19279.2i | −1.04998 | − | 0.891861i | ||||
\(777\) | 2527.08 | − | 955.021i | 0.116678 | − | 0.0440942i | ||||
\(778\) | 2528.16 | + | 11485.6i | 0.116503 | + | 0.529277i | ||||
\(779\) | −8376.65 | − | 24861.0i | −0.385269 | − | 1.14344i | ||||
\(780\) | 1554.72 | + | 197.199i | 0.0713693 | + | 0.00905238i | ||||
\(781\) | 10322.8 | + | 17156.6i | 0.472955 | + | 0.786057i | ||||
\(782\) | 849.072 | + | 7807.09i | 0.0388271 | + | 0.357009i | ||||
\(783\) | −34354.7 | + | 15921.8i | −1.56799 | + | 0.726691i | ||||
\(784\) | −1185.00 | + | 1747.75i | −0.0539816 | + | 0.0796169i | ||||
\(785\) | 7645.20 | + | 7241.92i | 0.347604 | + | 0.329268i | ||||
\(786\) | −1196.05 | − | 4626.31i | −0.0542770 | − | 0.209943i | ||||
\(787\) | −36693.3 | − | 16976.1i | −1.66198 | − | 0.768912i | −0.999809 | − | 0.0195558i | \(-0.993775\pi\) |
−0.662167 | − | 0.749356i | \(-0.730363\pi\) | |||||||
\(788\) | −9242.05 | + | 15360.4i | −0.417810 | + | 0.694406i | ||||
\(789\) | −14632.9 | + | 18553.0i | −0.660260 | + | 0.837140i | ||||
\(790\) | −1880.02 | − | 1984.71i | −0.0846686 | − | 0.0893835i | ||||
\(791\) | −221.233 | − | 796.811i | −0.00994457 | − | 0.0358171i | ||||
\(792\) | 14932.7 | − | 16360.1i | 0.669964 | − | 0.734001i | ||||
\(793\) | 344.995 | − | 262.259i | 0.0154491 | − | 0.0117441i | ||||
\(794\) | 16627.8 | + | 4616.69i | 0.743197 | + | 0.206348i | ||||
\(795\) | −17176.6 | − | 6130.69i | −0.766280 | − | 0.273501i | ||||
\(796\) | −792.519 | − | 14617.2i | −0.0352891 | − | 0.650868i | ||||
\(797\) | 119.351 | + | 2201.31i | 0.00530445 | + | 0.0978347i | 0.999987 | − | 0.00515653i | \(-0.00164138\pi\) |
−0.994682 | + | 0.102991i | \(0.967159\pi\) | |||||||
\(798\) | −1413.15 | − | 504.382i | −0.0626879 | − | 0.0223746i | ||||
\(799\) | 8207.87 | + | 2278.90i | 0.363421 | + | 0.100903i | ||||
\(800\) | 33683.4 | − | 25605.5i | 1.48861 | − | 1.13161i | ||||
\(801\) | −19869.7 | + | 21768.8i | −0.876479 | + | 0.960255i | ||||
\(802\) | −6123.79 | − | 22055.9i | −0.269624 | − | 0.971098i | ||||
\(803\) | −17020.3 | − | 17968.1i | −0.747985 | − | 0.789639i | ||||
\(804\) | 3265.21 | − | 4139.93i | 0.143228 | − | 0.181597i | ||||
\(805\) | −861.448 | + | 1431.74i | −0.0377168 | + | 0.0626859i | ||||
\(806\) | −1860.99 | − | 860.987i | −0.0813283 | − | 0.0376265i | ||||
\(807\) | −4489.63 | − | 17365.8i | −0.195840 | − | 0.757505i | ||||
\(808\) | −8911.88 | − | 8441.79i | −0.388019 | − | 0.367551i | ||||
\(809\) | 15729.8 | − | 23199.8i | 0.683599 | − | 1.00823i | −0.314658 | − | 0.949205i | \(-0.601890\pi\) |
0.998256 | − | 0.0590273i | \(-0.0187999\pi\) | |||||||
\(810\) | −9966.46 | + | 23816.3i | −0.432328 | + | 1.03311i | ||||
\(811\) | −1011.79 | − | 9303.29i | −0.0438087 | − | 0.402815i | −0.995427 | − | 0.0955304i | \(-0.969545\pi\) |
0.951618 | − | 0.307284i | \(-0.0994202\pi\) | |||||||
\(812\) | 1506.27 | + | 2503.45i | 0.0650984 | + | 0.108194i | ||||
\(813\) | −12726.0 | − | 1614.15i | −0.548980 | − | 0.0696318i | ||||
\(814\) | 4584.90 | + | 13607.5i | 0.197421 | + | 0.585925i | ||||
\(815\) | −623.453 | − | 2832.38i | −0.0267958 | − | 0.121735i | ||||
\(816\) | 3500.90 | − | 1323.04i | 0.150191 | − | 0.0567595i | ||||
\(817\) | −13326.9 | − | 11320.0i | −0.570686 | − | 0.484745i | ||||
\(818\) | −7319.56 | − | 1199.98i | −0.312864 | − | 0.0512914i | ||||
\(819\) | 105.908 | + | 191.135i | 0.00451858 | + | 0.00815481i | ||||
\(820\) | 12891.9 | + | 32356.2i | 0.549029 | + | 1.37796i | ||||
\(821\) | 20918.2 | + | 7048.15i | 0.889219 | + | 0.299613i | 0.726587 | − | 0.687074i | \(-0.241105\pi\) |
0.162632 | + | 0.986687i | \(0.448002\pi\) | |||||||
\(822\) | 9368.38 | + | 12791.1i | 0.397518 | + | 0.542751i | ||||
\(823\) | −12800.3 | − | 27667.4i | −0.542151 | − | 1.17184i | −0.964178 | − | 0.265257i | \(-0.914543\pi\) |
0.422026 | − | 0.906584i | \(-0.361319\pi\) | |||||||
\(824\) | 1569.64 | + | 85.1031i | 0.0663602 | + | 0.00359795i | ||||
\(825\) | −32817.4 | + | 29994.2i | −1.38492 | + | 1.26578i | ||||
\(826\) | −1520.88 | − | 1260.97i | −0.0640655 | − | 0.0531172i | ||||
\(827\) | 37973.8i | 1.59671i | 0.602189 | + | 0.798354i | \(0.294295\pi\) | ||||
−0.602189 | + | 0.798354i | \(0.705705\pi\) | |||||||
\(828\) | 4527.30 | + | 656.471i | 0.190018 | + | 0.0275531i | ||||
\(829\) | 22500.5 | − | 10409.8i | 0.942671 | − | 0.436126i | 0.112511 | − | 0.993651i | \(-0.464111\pi\) |
0.830161 | + | 0.557524i | \(0.188249\pi\) | |||||||
\(830\) | −3906.70 | + | 35921.6i | −0.163378 | + | 1.50224i | ||||
\(831\) | −37695.8 | + | 16630.4i | −1.57359 | + | 0.694225i | ||||
\(832\) | 1186.33 | − | 472.675i | 0.0494332 | − | 0.0196960i | ||||
\(833\) | −32144.9 | + | 21794.8i | −1.33704 | + | 0.906537i | ||||
\(834\) | 11316.3 | + | 17348.5i | 0.469845 | + | 0.720297i | ||||
\(835\) | −22742.8 | + | 26774.9i | −0.942571 | + | 1.10968i | ||||
\(836\) | −3968.03 | + | 9959.01i | −0.164159 | + | 0.412009i | ||||
\(837\) | −29372.9 | + | 34626.9i | −1.21299 | + | 1.42997i | ||||
\(838\) | 4726.61 | − | 1592.58i | 0.194842 | − | 0.0656501i | ||||
\(839\) | 4646.32 | + | 5470.07i | 0.191191 | + | 0.225087i | 0.849402 | − | 0.527746i | \(-0.176963\pi\) |
−0.658212 | + | 0.752833i | \(0.728687\pi\) | |||||||
\(840\) | 5240.01 | + | 1556.05i | 0.215235 | + | 0.0639152i | ||||
\(841\) | 48168.8 | − | 5238.68i | 1.97502 | − | 0.214797i | ||||
\(842\) | −793.404 | + | 3604.47i | −0.0324733 | + | 0.147528i | ||||
\(843\) | 10900.4 | − | 1587.97i | 0.445351 | − | 0.0648786i | ||||
\(844\) | 356.550 | − | 376.406i | 0.0145414 | − | 0.0153512i | ||||
\(845\) | 37012.7 | + | 19622.9i | 1.50684 | + | 0.798874i | ||||
\(846\) | −1844.36 | + | 3197.78i | −0.0749531 | + | 0.129955i | ||||
\(847\) | −174.461 | − | 104.970i | −0.00707740 | − | 0.00425833i | ||||
\(848\) | −1130.63 | + | 185.358i | −0.0457855 | + | 0.00750615i | ||||
\(849\) | −15763.9 | − | 1136.96i | −0.637239 | − | 0.0459603i | ||||
\(850\) | −49685.2 | + | 13795.0i | −2.00493 | + | 0.556666i | ||||
\(851\) | −4924.49 | + | 6478.05i | −0.198366 | + | 0.260946i | ||||
\(852\) | 13308.5 | + | 2426.27i | 0.535141 | + | 0.0975619i | ||||
\(853\) | 1081.44 | − | 3894.98i | 0.0434088 | − | 0.156344i | −0.938669 | − | 0.344819i | \(-0.887940\pi\) |
0.982078 | + | 0.188474i | \(0.0603542\pi\) | |||||||
\(854\) | 486.690 | − | 258.026i | 0.0195014 | − | 0.0103390i | ||||
\(855\) | 1222.67 | − | 34264.4i | 0.0489057 | − | 1.37055i | ||||
\(856\) | −303.782 | + | 16.4706i | −0.0121297 | + | 0.000657655i | ||||
\(857\) | 7991.50 | + | 15073.6i | 0.318535 | + | 0.600821i | 0.990139 | − | 0.140090i | \(-0.0447391\pi\) |
−0.671604 | + | 0.740910i | \(0.734394\pi\) | |||||||
\(858\) | −1035.70 | + | 525.650i | −0.0412100 | + | 0.0209154i | ||||
\(859\) | 16340.7 | + | 21495.8i | 0.649054 | + | 0.853816i | 0.996475 | − | 0.0838937i | \(-0.0267356\pi\) |
−0.347421 | + | 0.937709i | \(0.612943\pi\) | |||||||
\(860\) | 18481.2 | + | 14049.0i | 0.732795 | + | 0.557056i | ||||
\(861\) | −2577.55 | + | 4115.94i | −0.102024 | + | 0.162916i | ||||
\(862\) | −3881.44 | + | 3676.70i | −0.153367 | + | 0.145277i | ||||
\(863\) | −5014.28 | − | 30585.8i | −0.197785 | − | 1.20643i | −0.879890 | − | 0.475178i | \(-0.842384\pi\) |
0.682105 | − | 0.731254i | \(-0.261065\pi\) | |||||||
\(864\) | −2662.53 | − | 24331.4i | −0.104839 | − | 0.958070i | ||||
\(865\) | 19322.5 | − | 41765.0i | 0.759521 | − | 1.64168i | ||||
\(866\) | 437.986 | − | 826.130i | 0.0171863 | − | 0.0324169i | ||||
\(867\) | 43298.2 | + | 772.266i | 1.69606 | + | 0.0302509i | ||||
\(868\) | 2899.90 | + | 1966.18i | 0.113398 | + | 0.0768855i | ||||
\(869\) | −2659.74 | − | 585.452i | −0.103827 | − | 0.0228540i | ||||
\(870\) | 32823.1 | − | 37274.2i | 1.27909 | − | 1.45254i | ||||
\(871\) | −650.028 | + | 391.109i | −0.0252875 | + | 0.0152150i | ||||
\(872\) | −26799.5 | + | 22763.7i | −1.04076 | + | 0.884032i | ||||
\(873\) | 33627.1 | − | 8056.76i | 1.30367 | − | 0.312348i | ||||
\(874\) | 4413.92 | − | 971.577i | 0.170827 | − | 0.0376019i | ||||
\(875\) | −4938.93 | − | 1967.85i | −0.190819 | − | 0.0760290i | ||||
\(876\) | −16710.4 | + | 607.377i | −0.644511 | + | 0.0234262i | ||||
\(877\) | −4040.92 | + | 24648.5i | −0.155590 | + | 0.949056i | 0.787451 | + | 0.616378i | \(0.211401\pi\) |
−0.943040 | + | 0.332678i | \(0.892048\pi\) | |||||||
\(878\) | 6331.76 | + | 9338.64i | 0.243379 | + | 0.358957i | ||||
\(879\) | 2104.29 | − | 4343.37i | 0.0807463 | − | 0.166665i | ||||
\(880\) | −1351.46 | + | 4011.00i | −0.0517702 | + | 0.153648i | ||||
\(881\) | −6623.11 | − | 720.307i | −0.253278 | − | 0.0275457i | −0.0194010 | − | 0.999812i | \(-0.506176\pi\) |
−0.233877 | + | 0.972266i | \(0.575141\pi\) | |||||||
\(882\) | −5668.08 | − | 15847.3i | −0.216388 | − | 0.604997i | ||||
\(883\) | 1941.03 | − | 35800.2i | 0.0739762 | − | 1.36441i | −0.692166 | − | 0.721739i | \(-0.743343\pi\) |
0.766142 | − | 0.642671i | \(-0.222174\pi\) | |||||||
\(884\) | 1810.74 | 0.0688936 | ||||||||
\(885\) | 16957.6 | − | 41838.0i | 0.644094 | − | 1.58912i | ||||
\(886\) | 29627.4 | 1.12342 | ||||||||
\(887\) | 1504.89 | − | 27756.0i | 0.0569664 | − | 1.05068i | −0.820684 | − | 0.571382i | \(-0.806407\pi\) |
0.877650 | − | 0.479301i | \(-0.159110\pi\) | |||||||
\(888\) | 24549.7 | + | 10292.5i | 0.927742 | + | 0.388958i | ||||
\(889\) | 2650.73 | + | 288.284i | 0.100003 | + | 0.0108760i | ||||
\(890\) | 12344.0 | − | 36635.7i | 0.464912 | − | 1.37981i | ||||
\(891\) | 5096.84 | + | 25209.5i | 0.191639 | + | 0.947867i | ||||
\(892\) | 5881.15 | + | 8674.04i | 0.220757 | + | 0.325592i | ||||
\(893\) | 793.127 | − | 4837.86i | 0.0297211 | − | 0.181291i | ||||
\(894\) | 685.445 | + | 18858.2i | 0.0256428 | + | 0.705495i | ||||
\(895\) | −36398.1 | − | 14502.3i | −1.35939 | − | 0.541631i | ||||
\(896\) | −1631.33 | + | 359.083i | −0.0608247 | + | 0.0133885i | ||||
\(897\) | −575.933 | − | 318.625i | −0.0214379 | − | 0.0118602i | ||||
\(898\) | 1098.37 | − | 932.965i | 0.0408164 | − | 0.0346698i | ||||
\(899\) | 74847.2 | − | 45034.1i | 2.77674 | − | 1.67071i | ||||
\(900\) | 555.585 | + | 30032.7i | 0.0205772 | + | 1.11232i | ||||
\(901\) | −20579.7 | − | 4529.94i | −0.760944 | − | 0.167496i | ||||
\(902\) | −21365.1 | − | 14485.9i | −0.788668 | − | 0.534730i | ||||
\(903\) | −57.7241 | + | 3236.39i | −0.00212729 | + | 0.119269i | ||||
\(904\) | 3816.86 | − | 7199.36i | 0.140428 | − | 0.264875i | ||||
\(905\) | −31534.2 | + | 68160.0i | −1.15827 | + | 2.50355i | ||||
\(906\) | −1827.15 | − | 9068.21i | −0.0670011 | − | 0.332529i | ||||
\(907\) | 4125.03 | + | 25161.6i | 0.151014 | + | 0.921143i | 0.948261 | + | 0.317491i | \(0.102840\pi\) |
−0.797248 | + | 0.603652i | \(0.793711\pi\) | |||||||
\(908\) | 4415.16 | − | 4182.26i | 0.161368 | − | 0.152856i | ||||
\(909\) | 14020.6 | − | 2565.71i | 0.511588 | − | 0.0936185i | ||||
\(910\) | −228.176 | − | 173.455i | −0.00831203 | − | 0.00631864i | ||||
\(911\) | −12182.6 | − | 16025.9i | −0.443058 | − | 0.582833i | 0.519309 | − | 0.854587i | \(-0.326190\pi\) |
−0.962367 | + | 0.271754i | \(0.912396\pi\) | |||||||
\(912\) | −974.807 | − | 1920.68i | −0.0353937 | − | 0.0697370i | ||||
\(913\) | 16860.9 | + | 31803.1i | 0.611189 | + | 1.15282i | ||||
\(914\) | 14593.4 | − | 791.232i | 0.528126 | − | 0.0286342i | ||||
\(915\) | 8982.52 | + | 8817.88i | 0.324539 | + | 0.318590i | ||||
\(916\) | 11934.2 | − | 6327.12i | 0.430478 | − | 0.228225i | ||||
\(917\) | 314.271 | − | 1131.90i | 0.0113175 | − | 0.0407620i | ||||
\(918\) | −7961.31 | + | 28748.0i | −0.286233 | + | 1.03358i | ||||
\(919\) | 6518.42 | − | 8574.84i | 0.233975 | − | 0.307789i | −0.664089 | − | 0.747653i | \(-0.731181\pi\) |
0.898064 | + | 0.439865i | \(0.144974\pi\) | |||||||
\(920\) | −15864.6 | + | 4404.79i | −0.568523 | + | 0.157850i | ||||
\(921\) | −388.857 | + | 5391.50i | −0.0139124 | + | 0.192894i | ||||
\(922\) | −8874.49 | + | 1454.90i | −0.316991 | + | 0.0519681i | ||||
\(923\) | −1667.76 | − | 1003.46i | −0.0594744 | − | 0.0357845i | ||||
\(924\) | 1891.65 | − | 600.024i | 0.0673491 | − | 0.0213629i | ||||
\(925\) | −47206.7 | − | 25027.4i | −1.67800 | − | 0.889617i | ||||
\(926\) | 518.154 | − | 547.008i | 0.0183883 | − | 0.0194123i | ||||
\(927\) | −1155.70 | + | 1412.74i | −0.0409473 | + | 0.0500545i | ||||
\(928\) | −10122.2 | + | 45985.7i | −0.358059 | + | 1.62668i | ||||
\(929\) | 5715.93 | − | 621.645i | 0.201866 | − | 0.0219543i | −0.00662728 | − | 0.999978i | \(-0.502110\pi\) |
0.208493 | + | 0.978024i | \(0.433144\pi\) | |||||||
\(930\) | 16954.5 | − | 57094.6i | 0.597808 | − | 2.01312i | ||||
\(931\) | 14469.9 | + | 17035.3i | 0.509378 | + | 0.599686i | ||||
\(932\) | −18921.3 | + | 6375.33i | −0.665009 | + | 0.224067i | ||||
\(933\) | −8792.67 | − | 6193.30i | −0.308531 | − | 0.217320i | ||||
\(934\) | −10748.3 | + | 26976.2i | −0.376548 | + | 0.945064i | ||||
\(935\) | −50396.4 | + | 59331.2i | −1.76271 | + | 2.07523i | ||||
\(936\) | −537.567 | + | 2085.01i | −0.0187724 | + | 0.0728104i | ||||
\(937\) | −14773.7 | + | 10016.8i | −0.515085 | + | 0.349236i | −0.790871 | − | 0.611983i | \(-0.790372\pi\) |
0.275786 | + | 0.961219i | \(0.411062\pi\) | |||||||
\(938\) | −895.816 | + | 356.926i | −0.0311828 | + | 0.0124243i | ||||
\(939\) | 16590.2 | + | 37604.7i | 0.576571 | + | 1.30691i | ||||
\(940\) | −703.716 | + | 6470.57i | −0.0244178 | + | 0.224518i | ||||
\(941\) | 870.623 | − | 402.793i | 0.0301610 | − | 0.0139540i | −0.404751 | − | 0.914427i | \(-0.632642\pi\) |
0.434912 | + | 0.900473i | \(0.356780\pi\) | |||||||
\(942\) | −4078.99 | + | 3341.35i | −0.141084 | + | 0.115570i | ||||
\(943\) | − | 14628.1i | − | 0.505151i | ||||||
\(944\) | −340.184 | − | 2815.52i | −0.0117289 | − | 0.0970733i | ||||
\(945\) | −5050.22 | + | 3844.37i | −0.173845 | + | 0.132336i | ||||
\(946\) | −17179.6 | − | 931.451i | −0.590441 | − | 0.0320128i | ||||
\(947\) | 20659.8 | + | 44655.5i | 0.708928 | + | 1.53232i | 0.840972 | + | 0.541079i | \(0.181984\pi\) |
−0.132044 | + | 0.991244i | \(0.542154\pi\) | |||||||
\(948\) | −1484.44 | + | 1087.22i | −0.0508568 | + | 0.0372482i | ||||
\(949\) | 2279.92 | + | 768.193i | 0.0779865 | + | 0.0262767i | ||||
\(950\) | 10984.3 | + | 27568.6i | 0.375135 | + | 0.941518i | ||||
\(951\) | −2156.50 | + | 9027.13i | −0.0735323 | + | 0.307807i | ||||
\(952\) | 6232.50 | + | 1021.77i | 0.212181 | + | 0.0347853i | ||||
\(953\) | −8309.99 | − | 7058.57i | −0.282463 | − | 0.239926i | 0.494943 | − | 0.868925i | \(-0.335189\pi\) |
−0.777406 | + | 0.628999i | \(0.783465\pi\) | |||||||
\(954\) | 4127.54 | − | 8145.96i | 0.140078 | − | 0.276452i | ||||
\(955\) | 13568.3 | + | 61641.2i | 0.459747 | + | 2.08865i | ||||
\(956\) | 218.046 | + | 647.138i | 0.00737670 | + | 0.0218933i | ||||
\(957\) | 6225.78 | − | 49084.3i | 0.210294 | − | 1.65796i | ||||
\(958\) | 2071.39 | + | 3442.68i | 0.0698577 | + | 0.116104i | ||||
\(959\) | 421.422 | + | 3874.91i | 0.0141902 | + | 0.130477i | ||||
\(960\) | 18553.2 | + | 32118.7i | 0.623753 | + | 1.07982i | ||||
\(961\) | 42065.9 | − | 62042.5i | 1.41203 | − | 2.08259i | ||||
\(962\) | −1013.36 | − | 959.908i | −0.0339627 | − | 0.0321712i | ||||
\(963\) | 192.797 | − | 295.998i | 0.00645152 | − | 0.00990487i | ||||
\(964\) | 457.172 | + | 211.510i | 0.0152744 | + | 0.00706668i | ||||
\(965\) | 7585.01 | − | 12606.4i | 0.253026 | − | 0.420533i | ||||
\(966\) | −656.917 | − | 518.117i | −0.0218799 | − | 0.0172569i | ||||
\(967\) | −3776.86 | − | 3987.18i | −0.125600 | − | 0.132595i | 0.660162 | − | 0.751123i | \(-0.270488\pi\) |
−0.785762 | + | 0.618529i | \(0.787729\pi\) | |||||||
\(968\) | −536.736 | − | 1933.15i | −0.0178216 | − | 0.0641878i | ||||
\(969\) | −3580.12 | − | 39452.7i | −0.118689 | − | 1.30795i | ||||
\(970\) | −36107.4 | + | 27448.2i | −1.19520 | + | 0.908564i | ||||
\(971\) | −33191.8 | − | 9215.67i | −1.09699 | − | 0.304578i | −0.328541 | − | 0.944490i | \(-0.606557\pi\) |
−0.768448 | + | 0.639912i | \(0.778971\pi\) | |||||||
\(972\) | 15058.3 | + | 8671.74i | 0.496909 | + | 0.286159i | ||||
\(973\) | 275.678 | + | 5084.59i | 0.00908309 | + | 0.167528i | ||||
\(974\) | −1519.58 | − | 28027.0i | −0.0499902 | − | 0.922014i | ||||
\(975\) | 1452.78 | − | 4070.31i | 0.0477191 | − | 0.133697i | ||||
\(976\) | 761.926 | + | 211.548i | 0.0249884 | + | 0.00693799i | ||||
\(977\) | 31367.3 | − | 23844.8i | 1.02715 | − | 0.780822i | 0.0511750 | − | 0.998690i | \(-0.483703\pi\) |
0.975978 | + | 0.217868i | \(0.0699103\pi\) | |||||||
\(978\) | 1446.22 | − | 131.236i | 0.0472852 | − | 0.00429088i | ||||
\(979\) | −10303.2 | − | 37108.9i | −0.336356 | − | 1.21144i | ||||
\(980\) | −20407.2 | − | 21543.6i | −0.665187 | − | 0.702230i | ||||
\(981\) | −2964.09 | − | 40720.7i | −0.0964689 | − | 1.32529i | ||||
\(982\) | −4497.41 | + | 7474.75i | −0.146149 | + | 0.242901i | ||||
\(983\) | 40656.3 | + | 18809.6i | 1.31916 | + | 0.610308i | 0.948003 | − | 0.318262i | \(-0.103099\pi\) |
0.371157 | + | 0.928570i | \(0.378961\pi\) | |||||||
\(984\) | −46330.5 | + | 11977.9i | −1.50098 | + | 0.388051i | ||||
\(985\) | 54388.7 | + | 51519.7i | 1.75936 | + | 1.66655i | ||||
\(986\) | 32203.7 | − | 47496.9i | 1.04014 | − | 1.53409i | ||||
\(987\) | −785.839 | + | 453.936i | −0.0253430 | + | 0.0146393i | ||||
\(988\) | −112.672 | − | 1036.00i | −0.00362810 | − | 0.0333599i | ||||
\(989\) | −5026.62 | − | 8354.31i | −0.161615 | − | 0.268606i | ||||
\(990\) | −19445.1 | − | 27567.5i | −0.624250 | − | 0.885004i | ||||
\(991\) | 12702.6 | + | 37699.9i | 0.407176 | + | 1.20845i | 0.933626 | + | 0.358248i | \(0.116626\pi\) |
−0.526451 | + | 0.850206i | \(0.676478\pi\) | |||||||
\(992\) | 12138.4 | + | 55145.4i | 0.388503 | + | 1.76499i | ||||
\(993\) | 4035.60 | + | 10678.6i | 0.128969 | + | 0.341264i | ||||
\(994\) | −1885.65 | − | 1601.69i | −0.0601703 | − | 0.0511091i | ||||
\(995\) | −60370.0 | − | 9897.17i | −1.92348 | − | 0.315338i | ||||
\(996\) | 23654.3 | + | 5650.80i | 0.752526 | + | 0.179771i | ||||
\(997\) | −635.161 | − | 1594.13i | −0.0201763 | − | 0.0506387i | 0.918543 | − | 0.395320i | \(-0.129366\pi\) |
−0.938720 | + | 0.344681i | \(0.887987\pi\) | |||||||
\(998\) | −24596.4 | − | 8287.50i | −0.780147 | − | 0.262862i | ||||
\(999\) | −26474.4 | + | 15953.0i | −0.838452 | + | 0.505237i |
(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 | 177.4.f.a.2.20 | ✓ | 1624 | |
3.2 | odd | 2 | inner | 177.4.f.a.2.39 | yes | 1624 | |
59.30 | odd | 58 | inner | 177.4.f.a.89.39 | yes | 1624 | |
177.89 | even | 58 | inner | 177.4.f.a.89.20 | yes | 1624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.f.a.2.20 | ✓ | 1624 | 1.1 | even | 1 | trivial | |
177.4.f.a.2.39 | yes | 1624 | 3.2 | odd | 2 | inner | |
177.4.f.a.89.20 | yes | 1624 | 177.89 | even | 58 | inner | |
177.4.f.a.89.39 | yes | 1624 | 59.30 | odd | 58 | inner |