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 | 2.1 | ||
Character | \(\chi\) | \(=\) | 177.2 |
Dual form | 177.4.f.a.89.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.301320 | + | 5.55751i | −0.106533 | + | 1.96488i | 0.125290 | + | 0.992120i | \(0.460014\pi\) |
−0.231823 | + | 0.972758i | \(0.574469\pi\) | |||||||
\(3\) | 4.73924 | − | 2.13064i | 0.912067 | − | 0.410041i | ||||
\(4\) | −22.8421 | − | 2.48423i | −2.85526 | − | 0.310528i | ||||
\(5\) | −5.05728 | + | 15.0095i | −0.452337 | + | 1.34249i | 0.442770 | + | 0.896635i | \(0.353996\pi\) |
−0.895107 | + | 0.445852i | \(0.852901\pi\) | |||||||
\(6\) | 10.4130 | + | 26.9804i | 0.708517 | + | 1.83578i | ||||
\(7\) | −9.02219 | − | 13.3067i | −0.487153 | − | 0.718496i | 0.502084 | − | 0.864819i | \(-0.332567\pi\) |
−0.989237 | + | 0.146322i | \(0.953256\pi\) | |||||||
\(8\) | 13.4855 | − | 82.2577i | 0.595979 | − | 3.63531i | ||||
\(9\) | 17.9208 | − | 20.1952i | 0.663732 | − | 0.747970i | ||||
\(10\) | −81.8915 | − | 32.6285i | −2.58964 | − | 1.03181i | ||||
\(11\) | −44.8647 | + | 9.87548i | −1.22975 | + | 0.270688i | −0.781890 | − | 0.623417i | \(-0.785744\pi\) |
−0.447858 | + | 0.894105i | \(0.647813\pi\) | |||||||
\(12\) | −113.547 | + | 36.8948i | −2.73152 | + | 0.887552i | ||||
\(13\) | 11.3151 | − | 9.61111i | 0.241403 | − | 0.205049i | −0.518515 | − | 0.855069i | \(-0.673515\pi\) |
0.759918 | + | 0.650019i | \(0.225239\pi\) | |||||||
\(14\) | 76.6709 | − | 46.1314i | 1.46366 | − | 0.880652i | ||||
\(15\) | 8.01209 | + | 81.9087i | 0.137914 | + | 1.40992i | ||||
\(16\) | 273.569 | + | 60.2170i | 4.27451 | + | 0.940891i | ||||
\(17\) | −82.8482 | − | 56.1725i | −1.18198 | − | 0.801402i | −0.198090 | − | 0.980184i | \(-0.563474\pi\) |
−0.983889 | + | 0.178782i | \(0.942784\pi\) | |||||||
\(18\) | 106.835 | + | 105.680i | 1.39896 | + | 1.38384i | ||||
\(19\) | −53.3838 | + | 100.693i | −0.644583 | + | 1.21581i | 0.318835 | + | 0.947810i | \(0.396708\pi\) |
−0.963418 | + | 0.268003i | \(0.913636\pi\) | |||||||
\(20\) | 152.806 | − | 330.284i | 1.70842 | − | 3.69269i | ||||
\(21\) | −71.1101 | − | 43.8408i | −0.738929 | − | 0.455564i | ||||
\(22\) | −41.3645 | − | 252.312i | −0.400861 | − | 2.44514i | ||||
\(23\) | 43.3282 | − | 41.0427i | 0.392807 | − | 0.372087i | −0.465653 | − | 0.884968i | \(-0.654180\pi\) |
0.858460 | + | 0.512881i | \(0.171422\pi\) | |||||||
\(24\) | −111.351 | − | 418.572i | −0.947056 | − | 3.56003i | ||||
\(25\) | −100.196 | − | 76.1673i | −0.801571 | − | 0.609339i | ||||
\(26\) | 50.0044 | + | 65.7797i | 0.377180 | + | 0.496172i | ||||
\(27\) | 41.9021 | − | 133.893i | 0.298669 | − | 0.954357i | ||||
\(28\) | 173.029 | + | 326.367i | 1.16783 | + | 2.20277i | ||||
\(29\) | 5.35273 | − | 0.290216i | 0.0342751 | − | 0.00185834i | −0.0369934 | − | 0.999316i | \(-0.511778\pi\) |
0.0712685 | + | 0.997457i | \(0.477295\pi\) | |||||||
\(30\) | −457.623 | + | 19.8466i | −2.78500 | + | 0.120783i | ||||
\(31\) | 6.85013 | − | 3.63171i | 0.0396877 | − | 0.0210411i | −0.448446 | − | 0.893810i | \(-0.648023\pi\) |
0.488134 | + | 0.872769i | \(0.337678\pi\) | |||||||
\(32\) | −238.688 | + | 859.677i | −1.31858 | + | 4.74909i | ||||
\(33\) | −191.584 | + | 142.393i | −1.01062 | + | 0.751133i | ||||
\(34\) | 337.143 | − | 443.504i | 1.70058 | − | 2.23707i | ||||
\(35\) | 245.355 | − | 68.1224i | 1.18493 | − | 0.328994i | ||||
\(36\) | −459.517 | + | 416.781i | −2.12739 | + | 1.92954i | ||||
\(37\) | −84.8826 | + | 13.9158i | −0.377152 | + | 0.0618309i | −0.347377 | − | 0.937726i | \(-0.612927\pi\) |
−0.0297752 | + | 0.999557i | \(0.509479\pi\) | |||||||
\(38\) | −543.515 | − | 327.022i | −2.32026 | − | 1.39605i | ||||
\(39\) | 33.1471 | − | 69.6577i | 0.136097 | − | 0.286004i | ||||
\(40\) | 1166.45 | + | 618.410i | 4.61078 | + | 2.44448i | ||||
\(41\) | −15.8347 | + | 16.7164i | −0.0603160 | + | 0.0636749i | −0.755455 | − | 0.655200i | \(-0.772584\pi\) |
0.695139 | + | 0.718875i | \(0.255343\pi\) | |||||||
\(42\) | 265.073 | − | 381.986i | 0.973848 | − | 1.40337i | ||||
\(43\) | −42.2032 | + | 191.731i | −0.149673 | + | 0.679970i | 0.840695 | + | 0.541509i | \(0.182147\pi\) |
−0.990368 | + | 0.138461i | \(0.955784\pi\) | |||||||
\(44\) | 1049.34 | − | 114.122i | 3.59531 | − | 0.391013i | ||||
\(45\) | 212.489 | + | 371.114i | 0.703911 | + | 1.22939i | ||||
\(46\) | 215.040 | + | 253.164i | 0.689258 | + | 0.811457i | ||||
\(47\) | −366.658 | + | 123.541i | −1.13793 | + | 0.383412i | −0.824311 | − | 0.566138i | \(-0.808437\pi\) |
−0.313616 | + | 0.949550i | \(0.601540\pi\) | |||||||
\(48\) | 1424.81 | − | 297.493i | 4.28444 | − | 0.894570i | ||||
\(49\) | 31.2881 | − | 78.5272i | 0.0912189 | − | 0.228942i | ||||
\(50\) | 453.492 | − | 533.892i | 1.28267 | − | 1.51008i | ||||
\(51\) | −512.321 | − | 89.6953i | −1.40665 | − | 0.246272i | ||||
\(52\) | −282.336 | + | 191.429i | −0.752941 | + | 0.510507i | ||||
\(53\) | −511.874 | + | 203.949i | −1.32663 | + | 0.528577i | −0.922455 | − | 0.386105i | \(-0.873820\pi\) |
−0.404174 | + | 0.914682i | \(0.632441\pi\) | |||||||
\(54\) | 731.484 | + | 273.216i | 1.84338 | + | 0.688519i | ||||
\(55\) | 78.6678 | − | 723.339i | 0.192865 | − | 1.77336i | ||||
\(56\) | −1216.25 | + | 562.697i | −2.90229 | + | 1.34274i | ||||
\(57\) | −38.4593 | + | 590.947i | −0.0893694 | + | 1.37321i | ||||
\(58\) | 29.8353i | 0.0675443i | ||||||||
\(59\) | 381.639 | + | 244.399i | 0.842121 | + | 0.539289i | ||||
\(60\) | 20.4669 | − | 1890.87i | 0.0440378 | − | 4.06850i | ||||
\(61\) | −445.171 | − | 24.1365i | −0.934399 | − | 0.0506616i | −0.419352 | − | 0.907824i | \(-0.637743\pi\) |
−0.515047 | + | 0.857162i | \(0.672225\pi\) | |||||||
\(62\) | 18.1192 | + | 39.1640i | 0.0371152 | + | 0.0802231i | ||||
\(63\) | −430.417 | − | 56.2620i | −0.860753 | − | 0.112513i | ||||
\(64\) | −2582.11 | − | 870.014i | −5.04318 | − | 1.69925i | ||||
\(65\) | 87.0342 | + | 218.439i | 0.166081 | + | 0.416832i | ||||
\(66\) | −733.622 | − | 1107.63i | −1.36822 | − | 2.06576i | ||||
\(67\) | −660.843 | − | 108.340i | −1.20500 | − | 0.197549i | −0.474370 | − | 0.880326i | \(-0.657324\pi\) |
−0.730627 | + | 0.682776i | \(0.760772\pi\) | |||||||
\(68\) | 1752.88 | + | 1488.91i | 3.12600 | + | 2.65525i | ||||
\(69\) | 117.896 | − | 286.828i | 0.205695 | − | 0.500435i | ||||
\(70\) | 304.661 | + | 1384.09i | 0.520199 | + | 2.36329i | ||||
\(71\) | −50.5804 | − | 150.117i | −0.0845463 | − | 0.250924i | 0.897038 | − | 0.441953i | \(-0.145714\pi\) |
−0.981584 | + | 0.191029i | \(0.938818\pi\) | |||||||
\(72\) | −1419.54 | − | 1746.46i | −2.32354 | − | 2.85865i | ||||
\(73\) | 459.978 | + | 764.490i | 0.737485 | + | 1.22571i | 0.967586 | + | 0.252543i | \(0.0812669\pi\) |
−0.230101 | + | 0.973167i | \(0.573906\pi\) | |||||||
\(74\) | −51.7604 | − | 475.929i | −0.0813112 | − | 0.747644i | ||||
\(75\) | −637.140 | − | 147.493i | −0.980941 | − | 0.227080i | ||||
\(76\) | 1469.54 | − | 2167.41i | 2.21800 | − | 3.27130i | ||||
\(77\) | 536.189 | + | 507.905i | 0.793563 | + | 0.751703i | ||||
\(78\) | 377.136 | + | 205.204i | 0.547464 | + | 0.297882i | ||||
\(79\) | −706.634 | − | 326.924i | −1.00636 | − | 0.465592i | −0.153734 | − | 0.988112i | \(-0.549130\pi\) |
−0.852627 | + | 0.522520i | \(0.824992\pi\) | |||||||
\(80\) | −2287.34 | + | 3801.58i | −3.19665 | + | 5.31288i | ||||
\(81\) | −86.6923 | − | 723.827i | −0.118919 | − | 0.992904i | ||||
\(82\) | −88.1306 | − | 93.0383i | −0.118688 | − | 0.125297i | ||||
\(83\) | −51.3727 | − | 185.028i | −0.0679384 | − | 0.244692i | 0.921782 | − | 0.387709i | \(-0.126733\pi\) |
−0.989720 | + | 0.143017i | \(0.954320\pi\) | |||||||
\(84\) | 1515.39 | + | 1178.07i | 1.96837 | + | 1.53021i | ||||
\(85\) | 1262.11 | − | 959.427i | 1.61052 | − | 1.22429i | ||||
\(86\) | −1052.83 | − | 292.317i | −1.32011 | − | 0.366528i | ||||
\(87\) | 24.7495 | − | 12.7801i | 0.0304991 | − | 0.0157491i | ||||
\(88\) | 207.312 | + | 3823.65i | 0.251131 | + | 4.63184i | ||||
\(89\) | 1.41083 | + | 26.0212i | 0.00168031 | + | 0.0309915i | 0.999253 | − | 0.0386367i | \(-0.0123015\pi\) |
−0.997573 | + | 0.0696281i | \(0.977819\pi\) | |||||||
\(90\) | −2126.50 | + | 1069.09i | −2.49058 | + | 1.25213i | ||||
\(91\) | −229.979 | − | 63.8534i | −0.264927 | − | 0.0735567i | ||||
\(92\) | −1091.67 | + | 829.863i | −1.23711 | + | 0.940426i | ||||
\(93\) | 24.7265 | − | 31.8067i | 0.0275701 | − | 0.0354645i | ||||
\(94\) | −576.102 | − | 2074.93i | −0.632132 | − | 2.27673i | ||||
\(95\) | −1241.36 | − | 1310.49i | −1.34065 | − | 1.41530i | ||||
\(96\) | 700.460 | + | 4582.77i | 0.744691 | + | 4.87216i | ||||
\(97\) | −429.300 | + | 713.503i | −0.449369 | + | 0.746858i | −0.995888 | − | 0.0905889i | \(-0.971125\pi\) |
0.546519 | + | 0.837447i | \(0.315953\pi\) | |||||||
\(98\) | 426.988 | + | 197.546i | 0.440126 | + | 0.203624i | ||||
\(99\) | −604.573 | + | 1083.03i | −0.613757 | + | 1.09948i | ||||
\(100\) | 2099.48 | + | 1988.73i | 2.09948 | + | 1.98873i | ||||
\(101\) | 375.716 | − | 554.140i | 0.370150 | − | 0.545930i | −0.596308 | − | 0.802756i | \(-0.703366\pi\) |
0.966458 | + | 0.256825i | \(0.0826765\pi\) | |||||||
\(102\) | 652.855 | − | 2820.20i | 0.633748 | − | 2.73766i | ||||
\(103\) | −65.9461 | − | 606.365i | −0.0630861 | − | 0.580067i | −0.982433 | − | 0.186618i | \(-0.940247\pi\) |
0.919346 | − | 0.393449i | \(-0.128718\pi\) | |||||||
\(104\) | −637.999 | − | 1060.36i | −0.601548 | − | 0.999780i | ||||
\(105\) | 1017.65 | − | 845.610i | 0.945834 | − | 0.785935i | ||||
\(106\) | −979.213 | − | 2906.20i | −0.897260 | − | 2.66297i | ||||
\(107\) | −104.793 | − | 476.081i | −0.0946799 | − | 0.430135i | −0.999986 | − | 0.00537432i | \(-0.998289\pi\) |
0.905306 | − | 0.424761i | \(-0.139642\pi\) | |||||||
\(108\) | −1289.75 | + | 2954.29i | −1.14913 | + | 2.63219i | ||||
\(109\) | 932.496 | + | 792.069i | 0.819421 | + | 0.696023i | 0.955602 | − | 0.294661i | \(-0.0952069\pi\) |
−0.136181 | + | 0.990684i | \(0.543483\pi\) | |||||||
\(110\) | 3996.26 | + | 655.154i | 3.46390 | + | 0.567877i | ||||
\(111\) | −372.629 | + | 246.804i | −0.318634 | + | 0.211042i | ||||
\(112\) | −1666.90 | − | 4183.59i | −1.40631 | − | 3.52958i | ||||
\(113\) | 437.847 | + | 147.528i | 0.364506 | + | 0.122816i | 0.495594 | − | 0.868554i | \(-0.334951\pi\) |
−0.131088 | + | 0.991371i | \(0.541847\pi\) | |||||||
\(114\) | −3272.61 | − | 391.802i | −2.68867 | − | 0.321891i | ||||
\(115\) | 396.906 | + | 857.898i | 0.321840 | + | 0.695647i | ||||
\(116\) | −122.988 | − | 6.66824i | −0.0984412 | − | 0.00533733i | ||||
\(117\) | 8.67650 | − | 400.749i | 0.00685592 | − | 0.316660i | ||||
\(118\) | −1473.25 | + | 2047.32i | −1.14935 | + | 1.59721i | ||||
\(119\) | 1609.24i | 1.23965i | ||||||||
\(120\) | 6845.67 | + | 445.521i | 5.20768 | + | 0.338919i | ||||
\(121\) | 707.337 | − | 327.249i | 0.531433 | − | 0.245867i | ||||
\(122\) | 268.278 | − | 2466.77i | 0.199088 | − | 1.83058i | ||||
\(123\) | −39.4275 | + | 112.961i | −0.0289029 | + | 0.0828078i | ||||
\(124\) | −165.493 | + | 65.9385i | −0.119853 | + | 0.0477536i | ||||
\(125\) | 11.2760 | − | 7.64531i | 0.00806844 | − | 0.00547054i | ||||
\(126\) | 442.370 | − | 2375.09i | 0.312773 | − | 1.67929i | ||||
\(127\) | 391.352 | − | 460.736i | 0.273440 | − | 0.321919i | −0.608252 | − | 0.793744i | \(-0.708129\pi\) |
0.881692 | + | 0.471825i | \(0.156405\pi\) | |||||||
\(128\) | 2971.27 | − | 7457.32i | 2.05176 | − | 5.14953i | ||||
\(129\) | 208.498 | + | 998.579i | 0.142304 | + | 0.681550i | ||||
\(130\) | −1240.21 | + | 417.874i | −0.836717 | + | 0.281923i | ||||
\(131\) | 306.193 | + | 360.479i | 0.204216 | + | 0.240421i | 0.854730 | − | 0.519073i | \(-0.173723\pi\) |
−0.650515 | + | 0.759494i | \(0.725447\pi\) | |||||||
\(132\) | 4729.90 | − | 2776.61i | 3.11883 | − | 1.83085i | ||||
\(133\) | 1821.53 | − | 198.103i | 1.18757 | − | 0.129156i | ||||
\(134\) | 801.224 | − | 3640.00i | 0.516532 | − | 2.34663i | ||||
\(135\) | 1797.74 | + | 1306.06i | 1.14611 | + | 0.832650i | ||||
\(136\) | −5737.87 | + | 6057.39i | −3.61778 | + | 3.81924i | ||||
\(137\) | −261.761 | − | 138.777i | −0.163239 | − | 0.0865437i | 0.384786 | − | 0.923006i | \(-0.374275\pi\) |
−0.548025 | + | 0.836462i | \(0.684620\pi\) | |||||||
\(138\) | 1558.53 | + | 741.634i | 0.961380 | + | 0.457479i | ||||
\(139\) | 2271.55 | + | 1366.75i | 1.38612 | + | 0.833999i | 0.996221 | − | 0.0868600i | \(-0.0276833\pi\) |
0.389896 | + | 0.920859i | \(0.372511\pi\) | |||||||
\(140\) | −5773.64 | + | 946.541i | −3.48544 | + | 0.571409i | ||||
\(141\) | −1474.46 | + | 1366.71i | −0.880650 | + | 0.816295i | ||||
\(142\) | 849.519 | − | 235.868i | 0.502043 | − | 0.139392i | ||||
\(143\) | −412.734 | + | 542.942i | −0.241360 | + | 0.317504i | ||||
\(144\) | 6118.65 | − | 4445.64i | 3.54089 | − | 2.57271i | ||||
\(145\) | −22.7142 | + | 81.8093i | −0.0130091 | + | 0.0468544i | ||||
\(146\) | −4387.27 | + | 2325.98i | −2.48694 | + | 1.31849i | ||||
\(147\) | −19.0312 | − | 438.823i | −0.0106780 | − | 0.246214i | ||||
\(148\) | 1973.46 | − | 106.998i | 1.09607 | − | 0.0594270i | ||||
\(149\) | 635.542 | + | 1198.76i | 0.349434 | + | 0.659102i | 0.994467 | − | 0.105053i | \(-0.0335012\pi\) |
−0.645033 | + | 0.764155i | \(0.723156\pi\) | |||||||
\(150\) | 1011.68 | − | 3496.47i | 0.550687 | − | 1.90324i | ||||
\(151\) | 758.769 | + | 998.144i | 0.408926 | + | 0.537932i | 0.953743 | − | 0.300622i | \(-0.0971943\pi\) |
−0.544818 | + | 0.838554i | \(0.683401\pi\) | |||||||
\(152\) | 7562.83 | + | 5749.12i | 4.03570 | + | 3.06786i | ||||
\(153\) | −2619.12 | + | 666.482i | −1.38394 | + | 0.352169i | ||||
\(154\) | −2984.25 | + | 2826.83i | −1.56154 | + | 1.47917i | ||||
\(155\) | 19.8670 | + | 121.183i | 0.0102952 | + | 0.0627979i | ||||
\(156\) | −930.193 | + | 1508.78i | −0.477404 | + | 0.774354i | ||||
\(157\) | 191.574 | − | 414.081i | 0.0973841 | − | 0.210492i | −0.852760 | − | 0.522302i | \(-0.825073\pi\) |
0.950144 | + | 0.311810i | \(0.100935\pi\) | |||||||
\(158\) | 2029.81 | − | 3828.62i | 1.02204 | − | 1.92778i | ||||
\(159\) | −1991.35 | + | 2057.18i | −0.993235 | + | 1.02607i | ||||
\(160\) | −11696.2 | − | 7930.20i | −5.77915 | − | 3.91836i | ||||
\(161\) | −937.060 | − | 206.262i | −0.458700 | − | 0.100967i | ||||
\(162\) | 4048.80 | − | 263.690i | 1.96360 | − | 0.127886i | ||||
\(163\) | −883.235 | + | 531.425i | −0.424419 | + | 0.255365i | −0.711702 | − | 0.702481i | \(-0.752076\pi\) |
0.287283 | + | 0.957846i | \(0.407248\pi\) | |||||||
\(164\) | 403.224 | − | 342.501i | 0.191991 | − | 0.163078i | ||||
\(165\) | −1168.35 | − | 3595.69i | −0.551247 | − | 1.69651i | ||||
\(166\) | 1043.77 | − | 229.752i | 0.488027 | − | 0.107423i | ||||
\(167\) | −2702.63 | − | 1076.83i | −1.25231 | − | 0.498967i | −0.352733 | − | 0.935724i | \(-0.614748\pi\) |
−0.899579 | + | 0.436757i | \(0.856127\pi\) | |||||||
\(168\) | −4565.20 | + | 5258.15i | −2.09650 | + | 2.41473i | ||||
\(169\) | −319.778 | + | 1950.56i | −0.145552 | + | 0.887827i | ||||
\(170\) | 4951.73 | + | 7303.26i | 2.23400 | + | 3.29491i | ||||
\(171\) | 1076.83 | + | 2882.58i | 0.481562 | + | 1.28910i | ||||
\(172\) | 1440.31 | − | 4274.69i | 0.638504 | − | 1.89501i | ||||
\(173\) | 2325.63 | + | 252.928i | 1.02205 | + | 0.111155i | 0.603766 | − | 0.797162i | \(-0.293666\pi\) |
0.418284 | + | 0.908316i | \(0.362632\pi\) | |||||||
\(174\) | 63.5682 | + | 141.397i | 0.0276960 | + | 0.0616049i | ||||
\(175\) | −109.547 | + | 2020.48i | −0.0473200 | + | 0.872767i | ||||
\(176\) | −12868.3 | −5.51126 | ||||||||
\(177\) | 2329.40 | + | 345.133i | 0.989201 | + | 0.146564i | ||||
\(178\) | −145.038 | −0.0610735 | ||||||||
\(179\) | 108.977 | − | 2009.96i | 0.0455045 | − | 0.839281i | −0.883322 | − | 0.468766i | \(-0.844699\pi\) |
0.928827 | − | 0.370514i | \(-0.120819\pi\) | |||||||
\(180\) | −3931.76 | − | 9004.88i | −1.62809 | − | 3.72880i | ||||
\(181\) | 3662.18 | + | 398.286i | 1.50391 | + | 0.163560i | 0.822677 | − | 0.568508i | \(-0.192479\pi\) |
0.681231 | + | 0.732068i | \(0.261445\pi\) | |||||||
\(182\) | 424.164 | − | 1258.87i | 0.172753 | − | 0.512714i | ||||
\(183\) | −2161.20 | + | 834.110i | −0.873008 | + | 0.336935i | ||||
\(184\) | −2791.78 | − | 4117.56i | −1.11855 | − | 1.64973i | ||||
\(185\) | 220.406 | − | 1344.42i | 0.0875924 | − | 0.534290i | ||||
\(186\) | 169.315 | + | 147.002i | 0.0667463 | + | 0.0579501i | ||||
\(187\) | 4271.69 | + | 1702.00i | 1.67047 | + | 0.665574i | ||||
\(188\) | 8682.13 | − | 1911.08i | 3.36814 | − | 0.741383i | ||||
\(189\) | −2159.72 | + | 650.423i | −0.831199 | + | 0.250325i | ||||
\(190\) | 7657.13 | − | 6504.02i | 2.92372 | − | 2.48343i | ||||
\(191\) | −49.6060 | + | 29.8470i | −0.0187925 | + | 0.0113071i | −0.524919 | − | 0.851152i | \(-0.675904\pi\) |
0.506127 | + | 0.862459i | \(0.331077\pi\) | |||||||
\(192\) | −14090.9 | + | 1378.34i | −5.29648 | + | 0.518088i | ||||
\(193\) | 1928.09 | + | 424.405i | 0.719104 | + | 0.158287i | 0.559423 | − | 0.828882i | \(-0.311023\pi\) |
0.159680 | + | 0.987169i | \(0.448954\pi\) | |||||||
\(194\) | −3835.94 | − | 2600.83i | −1.41961 | − | 0.962521i | ||||
\(195\) | 877.891 | + | 849.798i | 0.322395 | + | 0.312078i | ||||
\(196\) | −909.764 | + | 1716.00i | −0.331547 | + | 0.625363i | ||||
\(197\) | −1987.84 | + | 4296.65i | −0.718923 | + | 1.55393i | 0.109604 | + | 0.993975i | \(0.465042\pi\) |
−0.828526 | + | 0.559950i | \(0.810820\pi\) | |||||||
\(198\) | −5836.78 | − | 3686.26i | −2.09496 | − | 1.32309i | ||||
\(199\) | −148.728 | − | 907.198i | −0.0529800 | − | 0.323164i | −0.999998 | − | 0.00198336i | \(-0.999369\pi\) |
0.947018 | − | 0.321180i | \(-0.104080\pi\) | |||||||
\(200\) | −7616.55 | + | 7214.78i | −2.69286 | + | 2.55081i | ||||
\(201\) | −3362.72 | + | 894.569i | −1.18004 | + | 0.313921i | ||||
\(202\) | 2966.43 | + | 2255.02i | 1.03325 | + | 0.785459i | ||||
\(203\) | −52.1552 | − | 68.6089i | −0.0180324 | − | 0.0237212i | ||||
\(204\) | 11479.6 | + | 3321.55i | 3.93988 | + | 1.13997i | ||||
\(205\) | −170.825 | − | 322.209i | −0.0581996 | − | 0.109776i | ||||
\(206\) | 3389.75 | − | 183.787i | 1.14648 | − | 0.0621604i | ||||
\(207\) | −52.3900 | − | 1610.54i | −0.0175911 | − | 0.540774i | ||||
\(208\) | 3674.20 | − | 1947.94i | 1.22481 | − | 0.649352i | ||||
\(209\) | 1400.66 | − | 5044.73i | 0.463569 | − | 1.66962i | ||||
\(210\) | 4392.85 | + | 5910.41i | 1.44350 | + | 1.94218i | ||||
\(211\) | 2612.79 | − | 3437.07i | 0.852473 | − | 1.12141i | −0.138895 | − | 0.990307i | \(-0.544355\pi\) |
0.991369 | − | 0.131102i | \(-0.0418517\pi\) | |||||||
\(212\) | 12198.9 | − | 3387.01i | 3.95201 | − | 1.09727i | ||||
\(213\) | −559.558 | − | 603.673i | −0.180001 | − | 0.194192i | ||||
\(214\) | 2677.40 | − | 438.938i | 0.855249 | − | 0.140211i | ||||
\(215\) | −2664.35 | − | 1603.09i | −0.845149 | − | 0.508509i | ||||
\(216\) | −10448.6 | − | 5252.38i | −3.29138 | − | 1.65453i | ||||
\(217\) | −110.129 | − | 58.3869i | −0.0344519 | − | 0.0182653i | ||||
\(218\) | −4682.91 | + | 4943.69i | −1.45489 | + | 1.53591i | ||||
\(219\) | 3808.80 | + | 2643.05i | 1.17523 | + | 0.815530i | ||||
\(220\) | −3593.87 | + | 16327.1i | −1.10136 | + | 5.00352i | ||||
\(221\) | −1477.31 | + | 160.668i | −0.449660 | + | 0.0489035i | ||||
\(222\) | −1259.34 | − | 2145.26i | −0.380726 | − | 0.648561i | ||||
\(223\) | −3683.19 | − | 4336.19i | −1.10603 | − | 1.30212i | −0.949263 | − | 0.314484i | \(-0.898168\pi\) |
−0.156768 | − | 0.987635i | \(-0.550107\pi\) | |||||||
\(224\) | 13593.0 | − | 4580.01i | 4.05455 | − | 1.36614i | ||||
\(225\) | −3333.81 | + | 658.510i | −0.987796 | + | 0.195114i | ||||
\(226\) | −951.819 | + | 2388.89i | −0.280151 | + | 0.703125i | ||||
\(227\) | 2835.16 | − | 3337.81i | 0.828970 | − | 0.975939i | −0.170986 | − | 0.985273i | \(-0.554695\pi\) |
0.999956 | + | 0.00933431i | \(0.00297125\pi\) | |||||||
\(228\) | 2346.54 | − | 13402.9i | 0.681593 | − | 3.89311i | ||||
\(229\) | −3022.95 | + | 2049.61i | −0.872324 | + | 0.591450i | −0.913108 | − | 0.407718i | \(-0.866325\pi\) |
0.0407844 | + | 0.999168i | \(0.487014\pi\) | |||||||
\(230\) | −4887.38 | + | 1947.31i | −1.40115 | + | 0.558268i | ||||
\(231\) | 3623.29 | + | 1264.66i | 1.03201 | + | 0.360210i | ||||
\(232\) | 48.3115 | − | 444.217i | 0.0136716 | − | 0.125708i | ||||
\(233\) | −1467.17 | + | 678.785i | −0.412521 | + | 0.190853i | −0.615163 | − | 0.788400i | \(-0.710910\pi\) |
0.202641 | + | 0.979253i | \(0.435048\pi\) | |||||||
\(234\) | 2224.55 | + | 168.973i | 0.621468 | + | 0.0472057i | ||||
\(235\) | − | 6128.12i | − | 1.70108i | ||||||
\(236\) | −8110.27 | − | 6530.66i | −2.23701 | − | 1.80131i | ||||
\(237\) | −4045.46 | − | 43.7885i | −1.10878 | − | 0.0120015i | ||||
\(238\) | −8943.36 | − | 484.895i | −2.43577 | − | 0.132063i | ||||
\(239\) | −2016.48 | − | 4358.55i | −0.545754 | − | 1.17963i | −0.962669 | − | 0.270683i | \(-0.912751\pi\) |
0.416914 | − | 0.908946i | \(-0.363112\pi\) | |||||||
\(240\) | −2740.44 | + | 22890.1i | −0.737061 | + | 6.15646i | ||||
\(241\) | −1410.26 | − | 475.174i | −0.376943 | − | 0.127007i | 0.124452 | − | 0.992226i | \(-0.460283\pi\) |
−0.501394 | + | 0.865219i | \(0.667179\pi\) | |||||||
\(242\) | 1605.56 | + | 4029.64i | 0.426484 | + | 1.07039i | ||||
\(243\) | −1953.07 | − | 3245.68i | −0.515594 | − | 0.856833i | ||||
\(244\) | 10108.7 | + | 1657.23i | 2.65222 | + | 0.434809i | ||||
\(245\) | 1020.42 | + | 866.751i | 0.266090 | + | 0.226019i | ||||
\(246\) | −615.903 | − | 253.157i | −0.159628 | − | 0.0656125i | ||||
\(247\) | 363.725 | + | 1652.42i | 0.0936976 | + | 0.425672i | ||||
\(248\) | −206.359 | − | 612.451i | −0.0528379 | − | 0.156817i | ||||
\(249\) | −637.694 | − | 767.434i | −0.162298 | − | 0.195318i | ||||
\(250\) | 39.0912 | + | 64.9702i | 0.00988939 | + | 0.0164363i | ||||
\(251\) | 307.820 | + | 2830.36i | 0.0774080 | + | 0.711755i | 0.966961 | + | 0.254923i | \(0.0820503\pi\) |
−0.889553 | + | 0.456832i | \(0.848984\pi\) | |||||||
\(252\) | 9691.84 | + | 2354.39i | 2.42273 | + | 0.588543i | ||||
\(253\) | −1538.59 | + | 2269.26i | −0.382334 | + | 0.563901i | ||||
\(254\) | 2442.62 | + | 2313.78i | 0.603401 | + | 0.571572i | ||||
\(255\) | 3937.23 | − | 7236.04i | 0.966897 | − | 1.77701i | ||||
\(256\) | 20765.6 | + | 9607.18i | 5.06972 | + | 2.34550i | ||||
\(257\) | 943.693 | − | 1568.43i | 0.229050 | − | 0.380685i | −0.720923 | − | 0.693015i | \(-0.756282\pi\) |
0.949974 | + | 0.312330i | \(0.101110\pi\) | |||||||
\(258\) | −5612.44 | + | 857.842i | −1.35432 | + | 0.207003i | ||||
\(259\) | 951.001 | + | 1003.96i | 0.228156 | + | 0.240861i | ||||
\(260\) | −1445.39 | − | 5205.82i | −0.344766 | − | 1.24174i | ||||
\(261\) | 90.0640 | − | 113.300i | 0.0213595 | − | 0.0268702i | ||||
\(262\) | −2095.63 | + | 1593.05i | −0.494154 | + | 0.375646i | ||||
\(263\) | 5545.67 | + | 1539.75i | 1.30023 | + | 0.361007i | 0.847574 | − | 0.530678i | \(-0.178063\pi\) |
0.452657 | + | 0.891685i | \(0.350476\pi\) | |||||||
\(264\) | 9129.31 | + | 17679.5i | 2.12830 | + | 4.12158i | ||||
\(265\) | −472.480 | − | 8714.38i | −0.109525 | − | 2.02008i | ||||
\(266\) | 552.099 | + | 10182.9i | 0.127261 | + | 2.34718i | ||||
\(267\) | 62.1280 | + | 120.315i | 0.0142403 | + | 0.0275773i | ||||
\(268\) | 14825.9 | + | 4116.39i | 3.37923 | + | 0.938240i | ||||
\(269\) | −3427.82 | + | 2605.76i | −0.776943 | + | 0.590617i | −0.916703 | − | 0.399568i | \(-0.869160\pi\) |
0.139760 | + | 0.990185i | \(0.455367\pi\) | |||||||
\(270\) | −7800.15 | + | 9597.45i | −1.75815 | + | 2.16327i | ||||
\(271\) | 8.08579 | + | 29.1224i | 0.00181246 | + | 0.00652789i | 0.964451 | − | 0.264263i | \(-0.0851286\pi\) |
−0.962638 | + | 0.270791i | \(0.912715\pi\) | |||||||
\(272\) | −19282.1 | − | 20355.9i | −4.29835 | − | 4.53771i | ||||
\(273\) | −1225.98 | + | 187.386i | −0.271793 | + | 0.0415425i | ||||
\(274\) | 850.127 | − | 1412.92i | 0.187438 | − | 0.311525i | ||||
\(275\) | 5247.47 | + | 2427.74i | 1.15067 | + | 0.532357i | ||||
\(276\) | −3405.53 | + | 6258.86i | −0.742713 | + | 1.36500i | ||||
\(277\) | 2273.90 | + | 2153.95i | 0.493233 | + | 0.467215i | 0.893422 | − | 0.449217i | \(-0.148297\pi\) |
−0.400190 | + | 0.916432i | \(0.631056\pi\) | |||||||
\(278\) | −8280.17 | + | 12212.3i | −1.78637 | + | 2.63470i | ||||
\(279\) | 49.4165 | − | 203.423i | 0.0106039 | − | 0.0436509i | ||||
\(280\) | −2294.87 | − | 21101.0i | −0.489803 | − | 4.50366i | ||||
\(281\) | 3043.98 | + | 5059.14i | 0.646223 | + | 1.07403i | 0.990808 | + | 0.135276i | \(0.0431921\pi\) |
−0.344585 | + | 0.938755i | \(0.611980\pi\) | |||||||
\(282\) | −7151.21 | − | 8606.13i | −1.51010 | − | 1.81733i | ||||
\(283\) | 1402.72 | + | 4163.12i | 0.294639 | + | 0.874458i | 0.988080 | + | 0.153944i | \(0.0491975\pi\) |
−0.693440 | + | 0.720514i | \(0.743906\pi\) | |||||||
\(284\) | 782.436 | + | 3554.64i | 0.163482 | + | 0.742708i | ||||
\(285\) | −8675.31 | − | 3565.84i | −1.80309 | − | 0.741130i | ||||
\(286\) | −2893.04 | − | 2457.37i | −0.598144 | − | 0.508068i | ||||
\(287\) | 365.305 | + | 59.8887i | 0.0751333 | + | 0.0123175i | ||||
\(288\) | 13083.9 | + | 20226.4i | 2.67699 | + | 4.13838i | ||||
\(289\) | 1889.99 | + | 4743.51i | 0.384691 | + | 0.965502i | ||||
\(290\) | −447.812 | − | 150.885i | −0.0906774 | − | 0.0305528i | ||||
\(291\) | −514.341 | + | 4296.14i | −0.103612 | + | 0.865444i | ||||
\(292\) | −8607.70 | − | 18605.2i | −1.72509 | − | 3.72873i | ||||
\(293\) | −444.195 | − | 24.0836i | −0.0885671 | − | 0.00480197i | 0.00980211 | − | 0.999952i | \(-0.496880\pi\) |
−0.0983692 | + | 0.995150i | \(0.531363\pi\) | |||||||
\(294\) | 2444.50 | + | 26.4595i | 0.484918 | + | 0.00524880i | ||||
\(295\) | −5598.35 | + | 4492.20i | −1.10491 | + | 0.886596i | ||||
\(296\) | 7169.91i | 1.40791i | ||||||||
\(297\) | −557.676 | + | 6420.86i | −0.108955 | + | 1.25446i | ||||
\(298\) | −6853.62 | + | 3170.82i | −1.33228 | + | 0.616379i | ||||
\(299\) | 95.7964 | − | 880.834i | 0.0185286 | − | 0.170368i | ||||
\(300\) | 14187.2 | + | 4951.84i | 2.73032 | + | 0.952982i | ||||
\(301\) | 2932.08 | − | 1168.25i | 0.561470 | − | 0.223710i | ||||
\(302\) | −5775.83 | + | 3916.11i | −1.10054 | + | 0.746182i | ||||
\(303\) | 599.937 | − | 3426.72i | 0.113748 | − | 0.649702i | ||||
\(304\) | −20667.5 | + | 24331.7i | −3.89922 | + | 4.59052i | ||||
\(305\) | 2613.63 | − | 6559.72i | 0.490675 | − | 1.23150i | ||||
\(306\) | −2914.79 | − | 14756.6i | −0.544535 | − | 2.75679i | ||||
\(307\) | −9311.93 | + | 3137.56i | −1.73114 | + | 0.583289i | −0.995558 | − | 0.0941461i | \(-0.969988\pi\) |
−0.735582 | + | 0.677435i | \(0.763091\pi\) | |||||||
\(308\) | −10985.9 | − | 12933.6i | −2.03240 | − | 2.39273i | ||||
\(309\) | −1604.48 | − | 2733.20i | −0.295390 | − | 0.503192i | ||||
\(310\) | −679.464 | + | 73.8962i | −0.124487 | + | 0.0135388i | ||||
\(311\) | 632.855 | − | 2875.09i | 0.115389 | − | 0.524217i | −0.883096 | − | 0.469192i | \(-0.844545\pi\) |
0.998485 | − | 0.0550247i | \(-0.0175238\pi\) | |||||||
\(312\) | −5282.88 | − | 3665.97i | −0.958603 | − | 0.665207i | ||||
\(313\) | 6166.94 | − | 6510.36i | 1.11366 | − | 1.17568i | 0.130786 | − | 0.991411i | \(-0.458250\pi\) |
0.982876 | − | 0.184268i | \(-0.0589915\pi\) | |||||||
\(314\) | 2243.54 | + | 1189.45i | 0.403217 | + | 0.213772i | ||||
\(315\) | 3021.20 | − | 6175.79i | 0.540398 | − | 1.10466i | ||||
\(316\) | 15328.8 | + | 9223.05i | 2.72884 | + | 1.64189i | ||||
\(317\) | −3784.82 | + | 620.490i | −0.670589 | + | 0.109938i | −0.487452 | − | 0.873150i | \(-0.662074\pi\) |
−0.183137 | + | 0.983087i | \(0.558625\pi\) | |||||||
\(318\) | −10832.8 | − | 11686.8i | −1.91029 | − | 2.06090i | ||||
\(319\) | −237.283 | + | 65.8812i | −0.0416466 | + | 0.0115631i | ||||
\(320\) | 26116.9 | − | 34356.2i | 4.56243 | − | 6.00178i | ||||
\(321\) | −1511.00 | − | 2032.98i | −0.262728 | − | 0.353489i | ||||
\(322\) | 1428.66 | − | 5145.57i | 0.247255 | − | 0.890533i | ||||
\(323\) | 10078.9 | − | 5343.49i | 1.73624 | − | 0.920495i | ||||
\(324\) | 182.082 | + | 16749.1i | 0.0312211 | + | 2.87193i | ||||
\(325\) | −1865.78 | + | 101.160i | −0.318446 | + | 0.0172656i | ||||
\(326\) | −2687.27 | − | 5068.72i | −0.456546 | − | 0.861137i | ||||
\(327\) | 6106.93 | + | 1766.99i | 1.03276 | + | 0.298823i | ||||
\(328\) | 1161.52 | + | 1527.95i | 0.195531 | + | 0.257217i | ||||
\(329\) | 4951.99 | + | 3764.41i | 0.829824 | + | 0.630816i | ||||
\(330\) | 20335.1 | − | 5409.66i | 3.39216 | − | 0.902399i | ||||
\(331\) | 6537.69 | − | 6192.82i | 1.08563 | − | 1.02836i | 0.0861452 | − | 0.996283i | \(-0.472545\pi\) |
0.999485 | − | 0.0320812i | \(-0.0102135\pi\) | |||||||
\(332\) | 713.808 | + | 4354.04i | 0.117998 | + | 0.719755i | ||||
\(333\) | −1240.13 | + | 1963.60i | −0.204080 | + | 0.323137i | ||||
\(334\) | 6798.84 | − | 14695.5i | 1.11382 | − | 2.40748i | ||||
\(335\) | 4968.19 | − | 9370.99i | 0.810272 | − | 1.52833i | ||||
\(336\) | −16813.5 | − | 16275.5i | −2.72992 | − | 2.64256i | ||||
\(337\) | −7749.79 | − | 5254.49i | −1.25269 | − | 0.849347i | −0.259491 | − | 0.965746i | \(-0.583555\pi\) |
−0.993203 | + | 0.116398i | \(0.962865\pi\) | |||||||
\(338\) | −10743.9 | − | 2364.91i | −1.72897 | − | 0.380574i | ||||
\(339\) | 2389.39 | − | 233.723i | 0.382813 | − | 0.0374458i | ||||
\(340\) | −31212.5 | + | 18780.0i | −4.97864 | + | 2.99555i | ||||
\(341\) | −271.464 | + | 230.584i | −0.0431103 | + | 0.0366182i | ||||
\(342\) | −16344.5 | + | 5115.90i | −2.58423 | + | 0.808878i | ||||
\(343\) | −6712.71 | + | 1477.58i | −1.05671 | + | 0.232600i | ||||
\(344\) | 15202.2 | + | 6057.13i | 2.38270 | + | 0.949356i | ||||
\(345\) | 3708.90 | + | 3220.12i | 0.578784 | + | 0.502509i | ||||
\(346\) | −2106.41 | + | 12848.5i | −0.327287 | + | 1.99636i | ||||
\(347\) | −6182.19 | − | 9118.05i | −0.956419 | − | 1.41061i | −0.911352 | − | 0.411628i | \(-0.864960\pi\) |
−0.0450672 | − | 0.998984i | \(-0.514350\pi\) | |||||||
\(348\) | −597.079 | + | 230.441i | −0.0919735 | + | 0.0354970i | ||||
\(349\) | 319.815 | − | 949.177i | 0.0490525 | − | 0.145583i | −0.920327 | − | 0.391149i | \(-0.872078\pi\) |
0.969380 | + | 0.245567i | \(0.0789741\pi\) | |||||||
\(350\) | −11195.9 | − | 1217.62i | −1.70984 | − | 0.185956i | ||||
\(351\) | −812.730 | − | 1917.73i | −0.123591 | − | 0.291626i | ||||
\(352\) | 2218.96 | − | 40926.3i | 0.335997 | − | 6.19710i | ||||
\(353\) | −231.752 | −0.0349430 | −0.0174715 | − | 0.999847i | \(-0.505562\pi\) | ||||
−0.0174715 | + | 0.999847i | \(0.505562\pi\) | |||||||
\(354\) | −2619.97 | + | 12841.7i | −0.393362 | + | 1.92805i | ||||
\(355\) | 2508.98 | 0.375106 | ||||||||
\(356\) | 32.4163 | − | 597.883i | 0.00482601 | − | 0.0890105i | ||||
\(357\) | 3428.70 | + | 7626.56i | 0.508309 | + | 1.13065i | ||||
\(358\) | 11137.5 | + | 1211.28i | 1.64424 | + | 0.178821i | ||||
\(359\) | 383.304 | − | 1137.60i | 0.0563510 | − | 0.167244i | −0.915781 | − | 0.401678i | \(-0.868427\pi\) |
0.972132 | + | 0.234434i | \(0.0753237\pi\) | |||||||
\(360\) | 33392.5 | − | 12474.2i | 4.88872 | − | 1.82625i | ||||
\(361\) | −3439.97 | − | 5073.58i | −0.501527 | − | 0.739696i | ||||
\(362\) | −3316.96 | + | 20232.6i | −0.481591 | + | 2.93757i | ||||
\(363\) | 2654.99 | − | 3057.99i | 0.383886 | − | 0.442156i | ||||
\(364\) | 5094.58 | + | 2029.87i | 0.733595 | + | 0.292291i | ||||
\(365\) | −13800.8 | + | 3037.79i | −1.97909 | + | 0.435631i | ||||
\(366\) | −3984.37 | − | 12262.2i | −0.569033 | − | 1.75125i | ||||
\(367\) | −10424.9 | + | 8854.96i | −1.48276 | + | 1.25947i | −0.591235 | + | 0.806499i | \(0.701359\pi\) |
−0.891526 | + | 0.452970i | \(0.850365\pi\) | |||||||
\(368\) | 14324.7 | − | 8618.89i | 2.02915 | − | 1.22090i | ||||
\(369\) | 53.8228 | + | 619.356i | 0.00759323 | + | 0.0873777i | ||||
\(370\) | 7405.21 | + | 1630.01i | 1.04048 | + | 0.229028i | ||||
\(371\) | 7332.12 | + | 4971.30i | 1.02605 | + | 0.695680i | ||||
\(372\) | −643.820 | + | 665.104i | −0.0897326 | + | 0.0926990i | ||||
\(373\) | 607.277 | − | 1145.45i | 0.0842992 | − | 0.159005i | −0.837778 | − | 0.546011i | \(-0.816146\pi\) |
0.922077 | + | 0.387006i | \(0.126491\pi\) | |||||||
\(374\) | −10746.0 | + | 23227.1i | −1.48573 | + | 3.21136i | ||||
\(375\) | 37.1502 | − | 60.2580i | 0.00511581 | − | 0.00829789i | ||||
\(376\) | 5217.68 | + | 31826.5i | 0.715642 | + | 4.36523i | ||||
\(377\) | 57.7772 | − | 54.7295i | 0.00789305 | − | 0.00747669i | ||||
\(378\) | −2963.97 | − | 12198.7i | −0.403307 | − | 1.65987i | ||||
\(379\) | −4043.37 | − | 3073.69i | −0.548005 | − | 0.416583i | 0.294197 | − | 0.955745i | \(-0.404948\pi\) |
−0.842202 | + | 0.539162i | \(0.818741\pi\) | |||||||
\(380\) | 25099.8 | + | 33018.2i | 3.38840 | + | 4.45736i | ||||
\(381\) | 873.052 | − | 3017.37i | 0.117396 | − | 0.405733i | ||||
\(382\) | −150.928 | − | 284.680i | −0.0202150 | − | 0.0381295i | ||||
\(383\) | 3091.56 | − | 167.619i | 0.412457 | − | 0.0223628i | 0.153257 | − | 0.988186i | \(-0.451024\pi\) |
0.259200 | + | 0.965824i | \(0.416541\pi\) | |||||||
\(384\) | −1807.30 | − | 41672.7i | −0.240178 | − | 5.53802i | ||||
\(385\) | −10335.0 | + | 5479.29i | −1.36811 | + | 0.725326i | ||||
\(386\) | −2939.61 | + | 10587.5i | −0.387622 | + | 1.39609i | ||||
\(387\) | 3115.73 | + | 4288.27i | 0.409255 | + | 0.563269i | ||||
\(388\) | 11578.6 | − | 15231.4i | 1.51499 | − | 1.99293i | ||||
\(389\) | −12564.5 | + | 3488.53i | −1.63765 | + | 0.454692i | −0.959841 | − | 0.280543i | \(-0.909486\pi\) |
−0.677812 | + | 0.735235i | \(0.737072\pi\) | |||||||
\(390\) | −4987.29 | + | 4622.83i | −0.647542 | + | 0.600221i | ||||
\(391\) | −5895.13 | + | 966.458i | −0.762480 | + | 0.125002i | ||||
\(392\) | −6037.53 | − | 3632.66i | −0.777912 | − | 0.468054i | ||||
\(393\) | 2219.17 | + | 1056.01i | 0.284841 | + | 0.135543i | ||||
\(394\) | −23279.7 | − | 12342.1i | −2.97669 | − | 1.57814i | ||||
\(395\) | 8480.60 | − | 8952.86i | 1.08027 | − | 1.14042i | ||||
\(396\) | 16500.2 | − | 23236.7i | 2.09385 | − | 2.94871i | ||||
\(397\) | −1854.65 | + | 8425.78i | −0.234465 | + | 1.06518i | 0.701385 | + | 0.712783i | \(0.252565\pi\) |
−0.935849 | + | 0.352400i | \(0.885366\pi\) | |||||||
\(398\) | 5086.58 | − | 553.199i | 0.640622 | − | 0.0696718i | ||||
\(399\) | 8210.57 | − | 4819.87i | 1.03018 | − | 0.604750i | ||||
\(400\) | −22824.0 | − | 26870.5i | −2.85300 | − | 3.35881i | ||||
\(401\) | −3424.26 | + | 1153.77i | −0.426433 | + | 0.143682i | −0.524331 | − | 0.851514i | \(-0.675685\pi\) |
0.0978982 | + | 0.995196i | \(0.468788\pi\) | |||||||
\(402\) | −3958.33 | − | 18957.9i | −0.491103 | − | 2.35208i | ||||
\(403\) | 42.6050 | − | 106.930i | 0.00526627 | − | 0.0132173i | ||||
\(404\) | −9958.74 | + | 11724.3i | −1.22640 | + | 1.44383i | ||||
\(405\) | 11302.7 | + | 2359.39i | 1.38675 | + | 0.289479i | ||||
\(406\) | 397.011 | − | 269.180i | 0.0485303 | − | 0.0329044i | ||||
\(407\) | 3670.81 | − | 1462.58i | 0.447065 | − | 0.178127i | ||||
\(408\) | −14287.0 | + | 40932.8i | −1.73361 | + | 4.96685i | ||||
\(409\) | 1565.05 | − | 14390.4i | 0.189210 | − | 1.73976i | −0.386664 | − | 0.922221i | \(-0.626373\pi\) |
0.575874 | − | 0.817538i | \(-0.304662\pi\) | |||||||
\(410\) | 1842.16 | − | 852.272i | 0.221897 | − | 0.102660i | ||||
\(411\) | −1536.23 | − | 99.9788i | −0.184371 | − | 0.0119990i | ||||
\(412\) | 14014.5i | 1.67583i | ||||||||
\(413\) | −191.060 | − | 7283.38i | −0.0227639 | − | 0.867777i | ||||
\(414\) | 8966.38 | + | 194.128i | 1.06443 | + | 0.0230456i | ||||
\(415\) | 3036.97 | + | 164.660i | 0.359227 | + | 0.0194767i | ||||
\(416\) | 5561.68 | + | 12021.4i | 0.655489 | + | 1.41682i | ||||
\(417\) | 13677.5 | + | 1637.49i | 1.60621 | + | 0.192297i | ||||
\(418\) | 27614.1 | + | 9304.29i | 3.23122 | + | 1.08873i | ||||
\(419\) | −900.174 | − | 2259.27i | −0.104956 | − | 0.263419i | 0.867115 | − | 0.498108i | \(-0.165972\pi\) |
−0.972070 | + | 0.234690i | \(0.924593\pi\) | |||||||
\(420\) | −25345.9 | + | 16787.4i | −2.94465 | + | 1.95034i | ||||
\(421\) | 3492.94 | + | 572.638i | 0.404359 | + | 0.0662913i | 0.360530 | − | 0.932748i | \(-0.382596\pi\) |
0.0438294 | + | 0.999039i | \(0.486044\pi\) | |||||||
\(422\) | 18314.3 | + | 15556.3i | 2.11262 | + | 1.79447i | ||||
\(423\) | −4075.85 | + | 9618.69i | −0.468498 | + | 1.10562i | ||||
\(424\) | 9873.54 | + | 44856.0i | 1.13090 | + | 5.13773i | ||||
\(425\) | 4022.58 | + | 11938.6i | 0.459115 | + | 1.36261i | ||||
\(426\) | 3523.53 | − | 2927.85i | 0.400740 | − | 0.332993i | ||||
\(427\) | 3695.24 | + | 6141.54i | 0.418795 | + | 0.696042i | ||||
\(428\) | 1211.00 | + | 11135.0i | 0.136767 | + | 1.25755i | ||||
\(429\) | −799.231 | + | 3452.52i | −0.0899469 | + | 0.388553i | ||||
\(430\) | 9711.99 | − | 14324.1i | 1.08919 | − | 1.60644i | ||||
\(431\) | −9262.69 | − | 8774.08i | −1.03519 | − | 0.980586i | −0.0353688 | − | 0.999374i | \(-0.511261\pi\) |
−0.999823 | + | 0.0187881i | \(0.994019\pi\) | |||||||
\(432\) | 19525.7 | − | 34105.6i | 2.17461 | − | 3.79839i | ||||
\(433\) | 683.214 | + | 316.089i | 0.0758272 | + | 0.0350814i | 0.457436 | − | 0.889242i | \(-0.348768\pi\) |
−0.381609 | + | 0.924324i | \(0.624630\pi\) | |||||||
\(434\) | 357.670 | − | 594.452i | 0.0395593 | − | 0.0657480i | ||||
\(435\) | 66.6578 | + | 436.110i | 0.00734712 | + | 0.0480686i | ||||
\(436\) | −19332.5 | − | 20409.0i | −2.12352 | − | 2.24178i | ||||
\(437\) | 1819.67 | + | 6553.84i | 0.199191 | + | 0.717421i | ||||
\(438\) | −15836.5 | + | 20371.1i | −1.72762 | + | 2.22230i | ||||
\(439\) | −5427.78 | + | 4126.09i | −0.590100 | + | 0.448582i | −0.857126 | − | 0.515107i | \(-0.827752\pi\) |
0.267026 | + | 0.963689i | \(0.413959\pi\) | |||||||
\(440\) | −58439.3 | − | 16225.6i | −6.33179 | − | 1.75801i | ||||
\(441\) | −1025.17 | − | 2039.14i | −0.110697 | − | 0.220185i | ||||
\(442\) | −447.769 | − | 8258.61i | −0.0481859 | − | 0.888737i | ||||
\(443\) | −843.894 | − | 15564.7i | −0.0905070 | − | 1.66930i | −0.593365 | − | 0.804934i | \(-0.702201\pi\) |
0.502858 | − | 0.864369i | \(-0.332282\pi\) | |||||||
\(444\) | 9124.74 | − | 4711.83i | 0.975318 | − | 0.503634i | ||||
\(445\) | −397.699 | − | 110.421i | −0.0423657 | − | 0.0117628i | ||||
\(446\) | 25208.3 | − | 19162.8i | 2.67634 | − | 2.03450i | ||||
\(447\) | 5566.10 | + | 4327.09i | 0.588966 | + | 0.457863i | ||||
\(448\) | 11719.2 | + | 42208.9i | 1.23590 | + | 4.45130i | ||||
\(449\) | −2179.54 | − | 2300.91i | −0.229084 | − | 0.241841i | 0.601312 | − | 0.799014i | \(-0.294645\pi\) |
−0.830397 | + | 0.557173i | \(0.811886\pi\) | |||||||
\(450\) | −2655.13 | − | 18726.1i | −0.278143 | − | 1.96168i | ||||
\(451\) | 545.335 | − | 906.354i | 0.0569375 | − | 0.0946309i | ||||
\(452\) | −9634.83 | − | 4457.55i | −1.00262 | − | 0.463862i | ||||
\(453\) | 5722.67 | + | 3113.78i | 0.593542 | + | 0.322954i | ||||
\(454\) | 17695.6 | + | 16762.2i | 1.82929 | + | 1.73279i | ||||
\(455\) | 2121.48 | − | 3128.94i | 0.218585 | − | 0.322389i | ||||
\(456\) | 48091.4 | + | 11132.8i | 4.93878 | + | 1.14329i | ||||
\(457\) | −270.007 | − | 2482.67i | −0.0276376 | − | 0.254124i | −0.999803 | − | 0.0198295i | \(-0.993688\pi\) |
0.972166 | − | 0.234294i | \(-0.0752778\pi\) | |||||||
\(458\) | −10479.9 | − | 17417.7i | −1.06920 | − | 1.77702i | ||||
\(459\) | −10992.6 | + | 8739.01i | −1.11784 | + | 0.888675i | ||||
\(460\) | −6934.94 | − | 20582.2i | −0.702920 | − | 2.08619i | ||||
\(461\) | 2531.89 | + | 11502.5i | 0.255796 | + | 1.16209i | 0.912865 | + | 0.408262i | \(0.133865\pi\) |
−0.657069 | + | 0.753830i | \(0.728204\pi\) | |||||||
\(462\) | −8120.13 | + | 19755.4i | −0.817711 | + | 1.98940i | ||||
\(463\) | −10886.9 | − | 9247.42i | −1.09278 | − | 0.928216i | −0.0950444 | − | 0.995473i | \(-0.530299\pi\) |
−0.997736 | + | 0.0672573i | \(0.978575\pi\) | |||||||
\(464\) | 1481.81 | + | 242.931i | 0.148258 | + | 0.0243056i | ||||
\(465\) | 352.352 | + | 531.987i | 0.0351397 | + | 0.0530545i | ||||
\(466\) | −3330.27 | − | 8358.35i | −0.331055 | − | 0.830886i | ||||
\(467\) | −12806.6 | − | 4315.06i | −1.26899 | − | 0.427574i | −0.397329 | − | 0.917676i | \(-0.630063\pi\) |
−0.871665 | + | 0.490102i | \(0.836959\pi\) | |||||||
\(468\) | −1193.74 | + | 9132.38i | −0.117907 | + | 0.902018i | ||||
\(469\) | 4520.60 | + | 9771.12i | 0.445079 | + | 0.962022i | ||||
\(470\) | 34057.1 | + | 1846.52i | 3.34242 | + | 0.181221i | ||||
\(471\) | 25.6597 | − | 2370.61i | 0.00251026 | − | 0.231915i | ||||
\(472\) | 25250.3 | − | 28096.9i | 2.46237 | − | 2.73997i | ||||
\(473\) | − | 9018.74i | − | 0.876707i | ||||||
\(474\) | 1462.33 | − | 22469.5i | 0.141703 | − | 2.17734i | ||||
\(475\) | 13018.3 | − | 6022.93i | 1.25752 | − | 0.581791i | ||||
\(476\) | 3997.71 | − | 36758.3i | 0.384947 | − | 3.53953i | ||||
\(477\) | −5054.38 | + | 13992.3i | −0.485166 | + | 1.34311i | ||||
\(478\) | 24830.3 | − | 9893.30i | 2.37597 | − | 0.946672i | ||||
\(479\) | 5303.95 | − | 3596.16i | 0.505936 | − | 0.343033i | −0.281366 | − | 0.959601i | \(-0.590787\pi\) |
0.787302 | + | 0.616567i | \(0.211477\pi\) | |||||||
\(480\) | −72327.4 | − | 12662.8i | −6.87766 | − | 1.20412i | ||||
\(481\) | −826.707 | + | 973.275i | −0.0783671 | + | 0.0922609i | ||||
\(482\) | 3065.72 | − | 7694.39i | 0.289709 | − | 0.727116i | ||||
\(483\) | −4880.42 | + | 1019.01i | −0.459766 | + | 0.0959968i | ||||
\(484\) | −16970.0 | + | 5717.86i | −1.59373 | + | 0.536989i | ||||
\(485\) | −8538.20 | − | 10051.9i | −0.799381 | − | 0.941104i | ||||
\(486\) | 18626.4 | − | 9876.22i | 1.73850 | − | 0.921799i | ||||
\(487\) | −16117.4 | + | 1752.87i | −1.49969 | + | 0.163101i | −0.820833 | − | 0.571169i | \(-0.806490\pi\) |
−0.678858 | + | 0.734270i | \(0.737525\pi\) | |||||||
\(488\) | −7988.76 | + | 36293.3i | −0.741053 | + | 3.36664i | ||||
\(489\) | −3053.59 | + | 4400.41i | −0.282389 | + | 0.406939i | ||||
\(490\) | −5124.46 | + | 5409.82i | −0.472448 | + | 0.498757i | ||||
\(491\) | 16121.0 | + | 8546.80i | 1.48173 | + | 0.785563i | 0.996069 | − | 0.0885837i | \(-0.0282341\pi\) |
0.485661 | + | 0.874147i | \(0.338579\pi\) | |||||||
\(492\) | 1181.23 | − | 2482.32i | 0.108240 | − | 0.227463i | ||||
\(493\) | −459.766 | − | 276.632i | −0.0420017 | − | 0.0252716i | ||||
\(494\) | −9292.95 | + | 1523.50i | −0.846376 | + | 0.138756i | ||||
\(495\) | −13198.2 | − | 14551.5i | −1.19841 | − | 1.32130i | ||||
\(496\) | 2092.67 | − | 581.027i | 0.189443 | − | 0.0525986i | ||||
\(497\) | −1541.22 | + | 2027.45i | −0.139101 | + | 0.182985i | ||||
\(498\) | 4457.17 | − | 3312.75i | 0.401066 | − | 0.298088i | ||||
\(499\) | 1080.53 | − | 3891.71i | 0.0969360 | − | 0.349132i | −0.899137 | − | 0.437667i | \(-0.855805\pi\) |
0.996073 | + | 0.0885353i | \(0.0282186\pi\) | |||||||
\(500\) | −276.560 | + | 146.623i | −0.0247362 | + | 0.0131143i | ||||
\(501\) | −15102.8 | + | 654.990i | −1.34679 | + | 0.0584088i | ||||
\(502\) | −15822.5 | + | 857.871i | −1.40676 | + | 0.0762722i | ||||
\(503\) | 3758.38 | + | 7089.05i | 0.333156 | + | 0.628400i | 0.992334 | − | 0.123588i | \(-0.0394401\pi\) |
−0.659177 | + | 0.751988i | \(0.729095\pi\) | |||||||
\(504\) | −10432.4 | + | 34646.4i | −0.922012 | + | 3.06205i | ||||
\(505\) | 6417.24 | + | 8441.74i | 0.565472 | + | 0.743866i | ||||
\(506\) | −12147.8 | − | 9234.53i | −1.06727 | − | 0.811314i | ||||
\(507\) | 2640.43 | + | 9925.48i | 0.231293 | + | 0.869440i | ||||
\(508\) | −10083.9 | + | 9551.95i | −0.880707 | + | 0.834250i | ||||
\(509\) | −36.2113 | − | 220.879i | −0.00315331 | − | 0.0192344i | 0.985203 | − | 0.171391i | \(-0.0548263\pi\) |
−0.988356 | + | 0.152157i | \(0.951378\pi\) | |||||||
\(510\) | 39028.1 | + | 24061.6i | 3.38861 | + | 2.08914i | ||||
\(511\) | 6022.86 | − | 13018.2i | 0.521400 | − | 1.12699i | ||||
\(512\) | −29568.1 | + | 55771.4i | −2.55222 | + | 4.81401i | ||||
\(513\) | 11245.1 | + | 11366.9i | 0.967802 | + | 0.978288i | ||||
\(514\) | 8432.22 | + | 5717.19i | 0.723598 | + | 0.490612i | ||||
\(515\) | 9434.72 | + | 2076.74i | 0.807269 | + | 0.177693i | ||||
\(516\) | −2281.84 | − | 23327.6i | −0.194675 | − | 1.99019i | ||||
\(517\) | 15230.0 | − | 9163.58i | 1.29558 | − | 0.779523i | ||||
\(518\) | −5866.07 | + | 4982.69i | −0.497569 | + | 0.422639i | ||||
\(519\) | 11560.6 | − | 3756.40i | 0.977756 | − | 0.317702i | ||||
\(520\) | 19142.0 | − | 4213.48i | 1.61429 | − | 0.355333i | ||||
\(521\) | −11811.6 | − | 4706.16i | −0.993233 | − | 0.395740i | −0.183807 | − | 0.982962i | \(-0.558842\pi\) |
−0.809426 | + | 0.587222i | \(0.800222\pi\) | |||||||
\(522\) | 602.530 | + | 534.672i | 0.0505211 | + | 0.0448313i | ||||
\(523\) | −2578.02 | + | 15725.2i | −0.215543 | + | 1.31475i | 0.628219 | + | 0.778036i | \(0.283784\pi\) |
−0.843762 | + | 0.536717i | \(0.819664\pi\) | |||||||
\(524\) | −6098.58 | − | 8994.73i | −0.508431 | − | 0.749879i | ||||
\(525\) | 3785.75 | + | 9808.96i | 0.314711 | + | 0.815425i | ||||
\(526\) | −10228.2 | + | 30356.2i | −0.847852 | + | 2.51633i | ||||
\(527\) | −771.523 | − | 83.9082i | −0.0637724 | − | 0.00693567i | ||||
\(528\) | −60985.7 | + | 27417.6i | −5.02663 | + | 2.25984i | ||||
\(529\) | −465.874 | + | 8592.54i | −0.0382900 | + | 0.706217i | ||||
\(530\) | 48572.7 | 3.98087 | ||||||||
\(531\) | 11774.9 | − | 3327.45i | 0.962315 | − | 0.271938i | ||||
\(532\) | −42099.6 | −3.43092 | ||||||||
\(533\) | −18.5067 | + | 341.337i | −0.00150397 | + | 0.0277391i | ||||
\(534\) | −687.371 | + | 309.024i | −0.0557031 | + | 0.0250427i | ||||
\(535\) | 7675.68 | + | 834.781i | 0.620278 | + | 0.0674593i | ||||
\(536\) | −17823.6 | + | 52898.4i | −1.43631 | + | 4.26281i | ||||
\(537\) | −3766.02 | − | 9757.85i | −0.302637 | − | 0.784139i | ||||
\(538\) | −13448.7 | − | 19835.3i | −1.07772 | − | 1.58952i | ||||
\(539\) | −628.239 | + | 3832.09i | −0.0502044 | + | 0.306233i | ||||
\(540\) | −37819.7 | − | 34299.1i | −3.01389 | − | 2.73333i | ||||
\(541\) | −1597.76 | − | 636.604i | −0.126974 | − | 0.0505910i | 0.305786 | − | 0.952100i | \(-0.401081\pi\) |
−0.432760 | + | 0.901509i | \(0.642460\pi\) | |||||||
\(542\) | −164.284 | + | 36.1617i | −0.0130196 | + | 0.00286583i | ||||
\(543\) | 18204.5 | − | 5915.20i | 1.43873 | − | 0.467487i | ||||
\(544\) | 68065.0 | − | 57815.0i | 5.36446 | − | 4.55661i | ||||
\(545\) | −16604.4 | + | 9990.55i | −1.30506 | + | 0.785226i | ||||
\(546\) | −671.989 | − | 6869.84i | −0.0526712 | − | 0.538465i | ||||
\(547\) | 5860.60 | + | 1290.02i | 0.458101 | + | 0.100836i | 0.438025 | − | 0.898963i | \(-0.355678\pi\) |
0.0200759 | + | 0.999798i | \(0.493609\pi\) | |||||||
\(548\) | 5634.40 | + | 3820.22i | 0.439215 | + | 0.297795i | ||||
\(549\) | −8465.25 | + | 8557.78i | −0.658084 | + | 0.665277i | ||||
\(550\) | −15073.4 | + | 28431.4i | −1.16860 | + | 2.20421i | ||||
\(551\) | −256.526 | + | 554.472i | −0.0198337 | + | 0.0428699i | ||||
\(552\) | −22003.9 | − | 13565.8i | −1.69665 | − | 1.04602i | ||||
\(553\) | 2025.10 | + | 12352.6i | 0.155725 | + | 0.949881i | ||||
\(554\) | −12655.8 | + | 11988.2i | −0.970566 | + | 0.919369i | ||||
\(555\) | −1819.91 | − | 6841.13i | −0.139191 | − | 0.523225i | ||||
\(556\) | −48491.6 | − | 36862.3i | −3.69874 | − | 2.81171i | ||||
\(557\) | −4969.95 | − | 6537.86i | −0.378068 | − | 0.497340i | 0.567225 | − | 0.823563i | \(-0.308017\pi\) |
−0.945293 | + | 0.326223i | \(0.894224\pi\) | |||||||
\(558\) | 1115.63 | + | 335.928i | 0.0846390 | + | 0.0254856i | ||||
\(559\) | 1365.22 | + | 2575.07i | 0.103296 | + | 0.194837i | ||||
\(560\) | 71223.5 | − | 3861.62i | 5.37454 | − | 0.291399i | ||||
\(561\) | 23870.9 | − | 1035.25i | 1.79649 | − | 0.0779117i | ||||
\(562\) | −29033.4 | + | 15392.6i | −2.17918 | + | 1.15533i | ||||
\(563\) | 2733.12 | − | 9843.82i | 0.204596 | − | 0.736887i | −0.788027 | − | 0.615641i | \(-0.788897\pi\) |
0.992622 | − | 0.121246i | \(-0.0386891\pi\) | |||||||
\(564\) | 37074.9 | − | 27555.5i | 2.76797 | − | 2.05727i | ||||
\(565\) | −4428.62 | + | 5825.76i | −0.329759 | + | 0.433790i | ||||
\(566\) | −23559.2 | + | 6541.19i | −1.74959 | + | 0.485772i | ||||
\(567\) | −8849.62 | + | 7684.10i | −0.655466 | + | 0.569139i | ||||
\(568\) | −13030.4 | + | 2136.23i | −0.962577 | + | 0.157806i | ||||
\(569\) | −2716.77 | − | 1634.62i | −0.200163 | − | 0.120434i | 0.411944 | − | 0.911209i | \(-0.364850\pi\) |
−0.612107 | + | 0.790775i | \(0.709678\pi\) | |||||||
\(570\) | 22431.2 | − | 47138.7i | 1.64832 | − | 3.46390i | ||||
\(571\) | 12742.5 | + | 6755.63i | 0.933898 | + | 0.495121i | 0.864592 | − | 0.502474i | \(-0.167577\pi\) |
0.0693058 | + | 0.997595i | \(0.477922\pi\) | |||||||
\(572\) | 10776.5 | − | 11376.6i | 0.787740 | − | 0.831607i | ||||
\(573\) | −171.502 | + | 247.144i | −0.0125036 | + | 0.0180185i | ||||
\(574\) | −442.906 | + | 2012.14i | −0.0322065 | + | 0.146316i | ||||
\(575\) | −7467.44 | + | 812.133i | −0.541589 | + | 0.0589014i | ||||
\(576\) | −63843.5 | + | 36554.9i | −4.61831 | + | 2.64431i | ||||
\(577\) | 13771.8 | + | 16213.4i | 0.993636 | + | 1.16980i | 0.985473 | + | 0.169832i | \(0.0543226\pi\) |
0.00816328 | + | 0.999967i | \(0.497402\pi\) | |||||||
\(578\) | −26931.6 | + | 9074.33i | −1.93808 | + | 0.653014i | ||||
\(579\) | 10041.9 | − | 2096.71i | 0.720775 | − | 0.150494i | ||||
\(580\) | 722.073 | − | 1812.27i | 0.0516939 | − | 0.129742i | ||||
\(581\) | −1998.62 | + | 2352.96i | −0.142714 | + | 0.168016i | ||||
\(582\) | −23720.9 | − | 4152.97i | −1.68945 | − | 0.295784i | ||||
\(583\) | 20951.0 | − | 14205.1i | 1.48834 | − | 1.00912i | ||||
\(584\) | 69088.3 | − | 27527.3i | 4.89536 | − | 1.95049i | ||||
\(585\) | 5971.15 | + | 2156.93i | 0.422011 | + | 0.152441i | ||||
\(586\) | 267.689 | − | 2461.36i | 0.0188706 | − | 0.173512i | ||||
\(587\) | 3794.02 | − | 1755.30i | 0.266773 | − | 0.123422i | −0.281943 | − | 0.959431i | \(-0.590979\pi\) |
0.548716 | + | 0.836009i | \(0.315117\pi\) | |||||||
\(588\) | −655.421 | + | 10070.9i | −0.0459679 | + | 0.706321i | ||||
\(589\) | 883.631i | 0.0618156i | ||||||||
\(590\) | −23278.6 | − | 32466.5i | −1.62434 | − | 2.26547i | ||||
\(591\) | −266.253 | + | 24598.2i | −0.0185316 | + | 1.71207i | ||||
\(592\) | −24059.2 | − | 1304.45i | −1.67031 | − | 0.0905618i | ||||
\(593\) | 7071.88 | + | 15285.6i | 0.489726 | + | 1.05852i | 0.982138 | + | 0.188162i | \(0.0602531\pi\) |
−0.492412 | + | 0.870362i | \(0.663885\pi\) | |||||||
\(594\) | −35516.0 | − | 5034.02i | −2.45326 | − | 0.347725i | ||||
\(595\) | −24153.8 | − | 8138.36i | −1.66422 | − | 0.560740i | ||||
\(596\) | −11539.1 | − | 28961.0i | −0.793054 | − | 1.99041i | ||||
\(597\) | −2637.77 | − | 3982.55i | −0.180832 | − | 0.273023i | ||||
\(598\) | 4866.38 | + | 797.803i | 0.332778 | + | 0.0545561i | ||||
\(599\) | 6755.96 | + | 5738.56i | 0.460836 | + | 0.391438i | 0.847511 | − | 0.530778i | \(-0.178100\pi\) |
−0.386674 | + | 0.922216i | \(0.626376\pi\) | |||||||
\(600\) | −20724.6 | + | 50420.7i | −1.41013 | + | 3.43069i | ||||
\(601\) | 82.7587 | + | 375.977i | 0.00561697 | + | 0.0255182i | 0.979346 | − | 0.202193i | \(-0.0648068\pi\) |
−0.973729 | + | 0.227711i | \(0.926876\pi\) | |||||||
\(602\) | 5609.06 | + | 16647.1i | 0.379748 | + | 1.12705i | ||||
\(603\) | −14030.8 | + | 11404.3i | −0.947556 | + | 0.770182i | ||||
\(604\) | −14852.2 | − | 24684.6i | −1.00055 | − | 1.66292i | ||||
\(605\) | 1334.63 | + | 12271.7i | 0.0896868 | + | 0.824656i | ||||
\(606\) | 18863.3 | + | 4366.70i | 1.26447 | + | 0.292714i | ||||
\(607\) | 1082.57 | − | 1596.67i | 0.0723890 | − | 0.106766i | −0.789771 | − | 0.613402i | \(-0.789801\pi\) |
0.862160 | + | 0.506636i | \(0.169111\pi\) | |||||||
\(608\) | −73820.9 | − | 69926.9i | −4.92407 | − | 4.66433i | ||||
\(609\) | −393.357 | − | 214.030i | −0.0261734 | − | 0.0142413i | ||||
\(610\) | 35668.2 | + | 16501.9i | 2.36748 | + | 1.09531i | ||||
\(611\) | −2961.39 | + | 4921.87i | −0.196080 | + | 0.325888i | ||||
\(612\) | 61481.8 | − | 8717.36i | 4.06087 | − | 0.575782i | ||||
\(613\) | −15612.5 | − | 16481.9i | −1.02868 | − | 1.08597i | −0.996253 | − | 0.0864915i | \(-0.972434\pi\) |
−0.0324286 | − | 0.999474i | \(-0.510324\pi\) | |||||||
\(614\) | −14631.1 | − | 52696.6i | −0.961669 | − | 3.46362i | ||||
\(615\) | −1496.09 | − | 1163.06i | −0.0980946 | − | 0.0762588i | ||||
\(616\) | 49009.9 | − | 37256.3i | 3.20562 | − | 2.43685i | ||||
\(617\) | 12791.1 | + | 3551.42i | 0.834601 | + | 0.231726i | 0.658438 | − | 0.752635i | \(-0.271218\pi\) |
0.176163 | + | 0.984361i | \(0.443631\pi\) | |||||||
\(618\) | 15673.3 | − | 8093.34i | 1.02018 | − | 0.526799i | ||||
\(619\) | 567.084 | + | 10459.2i | 0.0368223 | + | 0.679148i | 0.957431 | + | 0.288662i | \(0.0932103\pi\) |
−0.920609 | + | 0.390486i | \(0.872307\pi\) | |||||||
\(620\) | −152.757 | − | 2817.43i | −0.00989493 | − | 0.182501i | ||||
\(621\) | −3679.76 | − | 7521.10i | −0.237784 | − | 0.486009i | ||||
\(622\) | 15787.7 | + | 4383.42i | 1.01773 | + | 0.282571i | ||||
\(623\) | 333.528 | − | 253.542i | 0.0214487 | − | 0.0163049i | ||||
\(624\) | 13262.6 | − | 17060.1i | 0.850846 | − | 1.09447i | ||||
\(625\) | −4151.17 | − | 14951.2i | −0.265675 | − | 0.956874i | ||||
\(626\) | 34323.2 | + | 36234.6i | 2.19142 | + | 2.31346i | ||||
\(627\) | −4110.42 | − | 26892.5i | −0.261809 | − | 1.71289i | ||||
\(628\) | −5404.63 | + | 8982.56i | −0.343421 | + | 0.570770i | ||||
\(629\) | 7814.06 | + | 3615.17i | 0.495337 | + | 0.229167i | ||||
\(630\) | 33411.7 | + | 18651.2i | 2.11294 | + | 1.17950i | ||||
\(631\) | 5959.87 | + | 5645.49i | 0.376004 | + | 0.356170i | 0.852243 | − | 0.523146i | \(-0.175242\pi\) |
−0.476239 | + | 0.879316i | \(0.658000\pi\) | |||||||
\(632\) | −36421.3 | + | 53717.4i | −2.29234 | + | 3.38095i | ||||
\(633\) | 5059.49 | − | 21856.0i | 0.317688 | − | 1.37235i | ||||
\(634\) | −2307.94 | − | 21221.2i | −0.144574 | − | 1.32934i | ||||
\(635\) | 4936.22 | + | 8204.06i | 0.308485 | + | 0.512706i | ||||
\(636\) | 50597.1 | − | 42043.3i | 3.15457 | − | 2.62127i | ||||
\(637\) | −400.707 | − | 1189.25i | −0.0249240 | − | 0.0739717i | ||||
\(638\) | −294.638 | − | 1338.55i | −0.0182834 | − | 0.0830624i | ||||
\(639\) | −3938.09 | − | 1668.73i | −0.243800 | − | 0.103308i | ||||
\(640\) | 96903.8 | + | 82310.9i | 5.98509 | + | 5.08379i | ||||
\(641\) | −10409.7 | − | 1706.59i | −0.641434 | − | 0.105158i | −0.167717 | − | 0.985835i | \(-0.553640\pi\) |
−0.473717 | + | 0.880677i | \(0.657088\pi\) | |||||||
\(642\) | 11753.6 | − | 7784.80i | 0.722552 | − | 0.478569i | ||||
\(643\) | −4866.10 | − | 12213.0i | −0.298445 | − | 0.749041i | −0.999359 | − | 0.0357954i | \(-0.988604\pi\) |
0.700914 | − | 0.713246i | \(-0.252776\pi\) | |||||||
\(644\) | 20892.0 | + | 7039.33i | 1.27835 | + | 0.430727i | ||||
\(645\) | −16042.6 | − | 1920.64i | −0.979342 | − | 0.117248i | ||||
\(646\) | 26659.6 | + | 57623.7i | 1.62369 | + | 3.50956i | ||||
\(647\) | −8404.58 | − | 455.683i | −0.510692 | − | 0.0276889i | −0.203007 | − | 0.979177i | \(-0.565072\pi\) |
−0.307685 | + | 0.951488i | \(0.599554\pi\) | |||||||
\(648\) | −60709.5 | − | 2630.04i | −3.68039 | − | 0.159441i | ||||
\(649\) | −19535.7 | − | 7196.04i | −1.18158 | − | 0.435238i | ||||
\(650\) | − | 10399.6i | − | 0.627547i | ||||||
\(651\) | −646.331 | − | 42.0637i | −0.0389120 | − | 0.00253242i | ||||
\(652\) | 21495.1 | − | 9944.70i | 1.29112 | − | 0.597338i | ||||
\(653\) | −1194.57 | + | 10983.9i | −0.0715880 | + | 0.658241i | 0.902284 | + | 0.431143i | \(0.141889\pi\) |
−0.973872 | + | 0.227098i | \(0.927076\pi\) | |||||||
\(654\) | −11660.2 | + | 33406.9i | −0.697173 | + | 1.99742i | ||||
\(655\) | −6959.10 | + | 2772.76i | −0.415137 | + | 0.165406i | ||||
\(656\) | −5338.48 | + | 3619.58i | −0.317733 | + | 0.215428i | ||||
\(657\) | 23682.2 | + | 4410.89i | 1.40629 | + | 0.261926i | ||||
\(658\) | −22412.9 | + | 26386.5i | −1.32788 | + | 1.56330i | ||||
\(659\) | −226.490 | + | 568.447i | −0.0133882 | + | 0.0336017i | −0.935519 | − | 0.353277i | \(-0.885067\pi\) |
0.922131 | + | 0.386878i | \(0.126447\pi\) | |||||||
\(660\) | 17755.0 | + | 85035.4i | 1.04714 | + | 5.01515i | ||||
\(661\) | −9524.29 | + | 3209.11i | −0.560442 | + | 0.188835i | −0.585244 | − | 0.810858i | \(-0.699001\pi\) |
0.0248018 | + | 0.999692i | \(0.492105\pi\) | |||||||
\(662\) | 32446.8 | + | 38199.3i | 1.90495 | + | 2.24269i | ||||
\(663\) | −6659.02 | + | 3909.06i | −0.390068 | + | 0.228982i | ||||
\(664\) | −15912.7 | + | 1730.62i | −0.930021 | + | 0.101146i | ||||
\(665\) | −6238.55 | + | 28342.0i | −0.363790 | + | 1.65272i | ||||
\(666\) | −10539.1 | − | 7483.71i | −0.613185 | − | 0.435417i | ||||
\(667\) | 220.013 | − | 232.265i | 0.0127720 | − | 0.0134833i | ||||
\(668\) | 59058.7 | + | 31310.9i | 3.42073 | + | 1.81356i | ||||
\(669\) | −26694.4 | − | 12702.7i | −1.54270 | − | 0.734102i | ||||
\(670\) | 50582.4 | + | 30434.4i | 2.91667 | + | 1.75490i | ||||
\(671\) | 20210.8 | − | 3313.40i | 1.16279 | − | 0.190629i | ||||
\(672\) | 54662.0 | − | 50667.5i | 3.13785 | − | 2.90854i | ||||
\(673\) | −23349.0 | + | 6482.83i | −1.33735 | + | 0.371315i | −0.861298 | − | 0.508100i | \(-0.830348\pi\) |
−0.476056 | + | 0.879415i | \(0.657934\pi\) | |||||||
\(674\) | 31537.0 | − | 41486.3i | 1.80232 | − | 2.37091i | ||||
\(675\) | −14396.7 | + | 10224.0i | −0.820931 | + | 0.582994i | ||||
\(676\) | 12150.0 | − | 43760.4i | 0.691284 | − | 2.48978i | ||||
\(677\) | −9432.07 | + | 5000.56i | −0.535456 | + | 0.283881i | −0.714113 | − | 0.700031i | \(-0.753170\pi\) |
0.178657 | + | 0.983911i | \(0.442825\pi\) | |||||||
\(678\) | 578.952 | + | 13349.5i | 0.0327943 | + | 0.756171i | ||||
\(679\) | 13367.6 | − | 724.771i | 0.755526 | − | 0.0409634i | ||||
\(680\) | −61900.3 | − | 116756.i | −3.49083 | − | 6.58441i | ||||
\(681\) | 6324.84 | − | 21859.4i | 0.355901 | − | 1.23003i | ||||
\(682\) | −1199.68 | − | 1578.15i | −0.0673577 | − | 0.0886076i | ||||
\(683\) | 11877.1 | + | 9028.73i | 0.665394 | + | 0.505820i | 0.882490 | − | 0.470331i | \(-0.155865\pi\) |
−0.217096 | + | 0.976150i | \(0.569658\pi\) | |||||||
\(684\) | −17436.0 | − | 68519.3i | −0.974680 | − | 3.83026i | ||||
\(685\) | 3406.76 | − | 3227.05i | 0.190023 | − | 0.179999i | ||||
\(686\) | −6188.99 | − | 37751.2i | −0.344456 | − | 2.10109i | ||||
\(687\) | −9959.50 | + | 16154.4i | −0.553098 | + | 0.897131i | ||||
\(688\) | −23090.9 | + | 49910.3i | −1.27956 | + | 2.76571i | ||||
\(689\) | −3831.72 | + | 7227.38i | −0.211868 | + | 0.399625i | ||||
\(690\) | −19013.4 | + | 19642.0i | −1.04903 | + | 1.08371i | ||||
\(691\) | −7614.49 | − | 5162.75i | −0.419202 | − | 0.284226i | 0.333294 | − | 0.942823i | \(-0.391840\pi\) |
−0.752496 | + | 0.658597i | \(0.771150\pi\) | |||||||
\(692\) | −52493.9 | − | 11554.8i | −2.88370 | − | 0.634750i | ||||
\(693\) | 19866.1 | − | 1726.39i | 1.08896 | − | 0.0946324i | ||||
\(694\) | 52536.5 | − | 31610.2i | 2.87357 | − | 1.72897i | ||||
\(695\) | −32002.0 | + | 27182.7i | −1.74662 | + | 1.48360i | ||||
\(696\) | −717.506 | − | 2208.18i | −0.0390761 | − | 0.120260i | ||||
\(697\) | 2250.88 | − | 495.455i | 0.122321 | − | 0.0269250i | ||||
\(698\) | 5178.70 | + | 2063.38i | 0.280826 | + | 0.111891i | ||||
\(699\) | −5507.02 | + | 6342.93i | −0.297990 | + | 0.343221i | ||||
\(700\) | 7521.62 | − | 45879.9i | 0.406130 | − | 2.47728i | ||||
\(701\) | −13576.7 | − | 20024.1i | −0.731503 | − | 1.07889i | −0.993502 | − | 0.113818i | \(-0.963692\pi\) |
0.261999 | − | 0.965068i | \(-0.415618\pi\) | |||||||
\(702\) | 10902.7 | − | 3938.91i | 0.586177 | − | 0.211773i | ||||
\(703\) | 3130.14 | − | 9289.92i | 0.167931 | − | 0.498401i | ||||
\(704\) | 124437. | + | 13533.4i | 6.66181 | + | 0.724516i | ||||
\(705\) | −13056.8 | − | 29042.6i | −0.697515 | − | 1.55150i | ||||
\(706\) | 69.8313 | − | 1287.96i | 0.00372257 | − | 0.0686588i | ||||
\(707\) | −10763.6 | −0.572569 | ||||||||
\(708\) | −52351.0 | − | 13670.3i | −2.77891 | − | 0.725652i | ||||
\(709\) | 3021.12 | 0.160029 | 0.0800145 | − | 0.996794i | \(-0.474503\pi\) | ||||
0.0800145 | + | 0.996794i | \(0.474503\pi\) | |||||||
\(710\) | −756.005 | + | 13943.7i | −0.0399610 | + | 0.737038i | ||||
\(711\) | −19265.7 | + | 8411.89i | −1.01620 | + | 0.443700i | ||||
\(712\) | 2159.47 | + | 234.857i | 0.113665 | + | 0.0123618i | ||||
\(713\) | 147.749 | − | 438.503i | 0.00776050 | − | 0.0230324i | ||||
\(714\) | −43417.9 | + | 16757.0i | −2.27573 | + | 0.878314i | ||||
\(715\) | −6061.96 | − | 8940.72i | −0.317069 | − | 0.467642i | ||||
\(716\) | −7482.44 | + | 45640.9i | −0.390547 | + | 2.38223i | ||||
\(717\) | −18843.1 | − | 16359.8i | −0.981461 | − | 0.852118i | ||||
\(718\) | 6206.76 | + | 2473.00i | 0.322610 | + | 0.128540i | ||||
\(719\) | −15551.4 | + | 3423.12i | −0.806633 | + | 0.177553i | −0.599100 | − | 0.800674i | \(-0.704475\pi\) |
−0.207534 | + | 0.978228i | \(0.566544\pi\) | |||||||
\(720\) | 35782.9 | + | 114321.i | 1.85215 | + | 5.91733i | ||||
\(721\) | −7473.76 | + | 6348.27i | −0.386043 | + | 0.327908i | ||||
\(722\) | 29233.0 | − | 17588.9i | 1.50684 | − | 0.906637i | ||||
\(723\) | −7696.00 | + | 752.803i | −0.395875 | + | 0.0387234i | ||||
\(724\) | −82662.3 | − | 18195.3i | −4.24326 | − | 0.934012i | ||||
\(725\) | −558.429 | − | 378.624i | −0.0286063 | − | 0.0193955i | ||||
\(726\) | 16194.8 | + | 15676.6i | 0.827887 | + | 0.801394i | ||||
\(727\) | 10273.4 | − | 19377.7i | 0.524098 | − | 0.988554i | −0.470265 | − | 0.882525i | \(-0.655842\pi\) |
0.994363 | − | 0.106028i | \(-0.0338135\pi\) | |||||||
\(728\) | −8353.82 | + | 18056.5i | −0.425293 | + | 0.919255i | ||||
\(729\) | −16171.4 | − | 11220.8i | −0.821593 | − | 0.570074i | ||||
\(730\) | −12724.1 | − | 77613.7i | −0.645124 | − | 3.93508i | ||||
\(731\) | 14266.5 | − | 13513.9i | 0.721839 | − | 0.683762i | ||||
\(732\) | 51438.4 | − | 13683.9i | 2.59729 | − | 0.690944i | ||||
\(733\) | −12211.8 | − | 9283.14i | −0.615350 | − | 0.467777i | 0.250475 | − | 0.968123i | \(-0.419413\pi\) |
−0.865826 | + | 0.500346i | \(0.833206\pi\) | |||||||
\(734\) | −46070.3 | − | 60604.5i | −2.31674 | − | 3.04762i | ||||
\(735\) | 6682.74 | + | 1933.60i | 0.335370 | + | 0.0970366i | ||||
\(736\) | 24941.5 | + | 47044.7i | 1.24912 | + | 2.35610i | ||||
\(737\) | 30718.4 | − | 1665.51i | 1.53532 | − | 0.0832425i | ||||
\(738\) | −3458.30 | + | 112.497i | −0.172495 | + | 0.00561119i | ||||
\(739\) | −3857.94 | + | 2045.35i | −0.192039 | + | 0.101812i | −0.561653 | − | 0.827373i | \(-0.689835\pi\) |
0.369615 | + | 0.929185i | \(0.379490\pi\) | |||||||
\(740\) | −8374.37 | + | 30161.8i | −0.416011 | + | 1.49834i | ||||
\(741\) | 5244.49 | + | 7056.25i | 0.260002 | + | 0.349822i | ||||
\(742\) | −29837.4 | + | 39250.4i | −1.47623 | + | 1.94195i | ||||
\(743\) | 31888.0 | − | 8853.65i | 1.57450 | − | 0.437159i | 0.632997 | − | 0.774154i | \(-0.281825\pi\) |
0.941506 | + | 0.336996i | \(0.109411\pi\) | |||||||
\(744\) | −2282.90 | − | 2462.88i | −0.112493 | − | 0.121362i | ||||
\(745\) | −21206.8 | + | 3476.69i | −1.04290 | + | 0.170974i | ||||
\(746\) | 6182.85 | + | 3720.09i | 0.303445 | + | 0.182577i | ||||
\(747\) | −4657.31 | − | 2278.36i | −0.228115 | − | 0.111594i | ||||
\(748\) | −93346.2 | − | 49489.0i | −4.56293 | − | 2.41911i | ||||
\(749\) | −5389.61 | + | 5689.75i | −0.262927 | + | 0.277568i | ||||
\(750\) | 323.691 | + | 224.620i | 0.0157593 | + | 0.0109359i | ||||
\(751\) | −4613.94 | + | 20961.3i | −0.224188 | + | 1.01850i | 0.721245 | + | 0.692680i | \(0.243570\pi\) |
−0.945433 | + | 0.325816i | \(0.894361\pi\) | |||||||
\(752\) | −107745. | + | 11718.0i | −5.22483 | + | 0.568234i | ||||
\(753\) | 7489.30 | + | 12757.9i | 0.362450 | + | 0.617428i | ||||
\(754\) | 286.751 | + | 337.589i | 0.0138499 | + | 0.0163054i | ||||
\(755\) | −18818.9 | + | 6340.83i | −0.907140 | + | 0.305651i | ||||
\(756\) | 50948.3 | − | 9491.78i | 2.45102 | − | 0.456631i | ||||
\(757\) | −936.410 | + | 2350.21i | −0.0449596 | + | 0.112840i | −0.949742 | − | 0.313035i | \(-0.898654\pi\) |
0.904782 | + | 0.425875i | \(0.140034\pi\) | |||||||
\(758\) | 18300.4 | − | 21544.9i | 0.876915 | − | 1.03238i | ||||
\(759\) | −2456.80 | + | 14032.7i | −0.117492 | + | 0.671088i | ||||
\(760\) | −124539. | + | 84439.2i | −5.94406 | + | 4.03017i | ||||
\(761\) | 30092.7 | − | 11990.0i | 1.43345 | − | 0.571140i | 0.481244 | − | 0.876586i | \(-0.340185\pi\) |
0.952209 | + | 0.305446i | \(0.0988057\pi\) | |||||||
\(762\) | 16506.0 | + | 5761.19i | 0.784710 | + | 0.273892i | ||||
\(763\) | 2126.70 | − | 19554.7i | 0.100907 | − | 0.927820i | ||||
\(764\) | 1207.25 | − | 558.534i | 0.0571686 | − | 0.0264490i | ||||
\(765\) | 3242.06 | − | 42682.1i | 0.153225 | − | 2.01722i | ||||
\(766\) | 17231.9i | 0.812811i | ||||||||
\(767\) | 6667.22 | − | 902.576i | 0.313871 | − | 0.0424904i | ||||
\(768\) | 118882. | + | 1286.79i | 5.58568 | + | 0.0604599i | ||||
\(769\) | 41135.6 | + | 2230.31i | 1.92898 | + | 0.104586i | 0.978508 | − | 0.206210i | \(-0.0661131\pi\) |
0.950476 | + | 0.310797i | \(0.100596\pi\) | |||||||
\(770\) | −27337.1 | − | 59088.1i | −1.27943 | − | 2.76544i | ||||
\(771\) | 1130.63 | − | 9443.84i | 0.0528128 | − | 0.441130i | ||||
\(772\) | −42987.3 | − | 14484.1i | −2.00408 | − | 0.675252i | ||||
\(773\) | 1638.75 | + | 4112.96i | 0.0762507 | + | 0.191375i | 0.962161 | − | 0.272482i | \(-0.0878445\pi\) |
−0.885910 | + | 0.463857i | \(0.846465\pi\) | |||||||
\(774\) | −24771.0 | + | 16023.6i | −1.15035 | + | 0.744130i | ||||
\(775\) | −962.976 | − | 157.872i | −0.0446337 | − | 0.00731732i | ||||
\(776\) | 52901.8 | + | 44935.2i | 2.44725 | + | 2.07871i | ||||
\(777\) | 6646.09 | + | 2731.76i | 0.306856 | + | 0.126128i | ||||
\(778\) | −15601.6 | − | 70878.8i | −0.718951 | − | 3.26623i | ||||
\(779\) | −837.907 | − | 2486.82i | −0.0385380 | − | 0.114377i | ||||
\(780\) | −17941.8 | − | 21592.0i | −0.823613 | − | 0.991178i | ||||
\(781\) | 3751.75 | + | 6235.46i | 0.171893 | + | 0.285688i | ||||
\(782\) | −3594.79 | − | 33053.5i | −0.164385 | − | 1.51150i | ||||
\(783\) | 185.433 | − | 728.851i | 0.00846339 | − | 0.0332657i | ||||
\(784\) | 13288.1 | − | 19598.5i | 0.605326 | − | 0.892789i | ||||
\(785\) | 5246.30 | + | 4969.55i | 0.238533 | + | 0.225950i | ||||
\(786\) | −6537.46 | + | 12014.9i | −0.296671 | + | 0.545238i | ||||
\(787\) | −5866.98 | − | 2714.35i | −0.265737 | − | 0.122943i | 0.282496 | − | 0.959268i | \(-0.408837\pi\) |
−0.548234 | + | 0.836325i | \(0.684700\pi\) | |||||||
\(788\) | 56080.2 | − | 93206.1i | 2.53525 | − | 4.21361i | ||||
\(789\) | 29562.9 | − | 4518.58i | 1.33392 | − | 0.203886i | ||||
\(790\) | 47200.3 | + | 49828.7i | 2.12571 | + | 2.24408i | ||||
\(791\) | −1987.22 | − | 7157.33i | −0.0893269 | − | 0.321726i | ||||
\(792\) | 80934.5 | + | 64336.0i | 3.63117 | + | 2.88646i | ||||
\(793\) | −5269.12 | + | 4005.48i | −0.235955 | + | 0.179368i | ||||
\(794\) | −46267.5 | − | 12846.1i | −2.06798 | − | 0.574171i | ||||
\(795\) | −20806.4 | − | 40292.9i | −0.928210 | − | 1.79754i | ||||
\(796\) | 1143.56 | + | 21091.8i | 0.0509202 | + | 0.939168i | ||||
\(797\) | 1603.11 | + | 29567.6i | 0.0712485 | + | 1.31410i | 0.787524 | + | 0.616283i | \(0.211362\pi\) |
−0.716276 | + | 0.697817i | \(0.754155\pi\) | |||||||
\(798\) | 24312.5 | + | 47082.7i | 1.07851 | + | 2.08861i | ||||
\(799\) | 37316.6 | + | 10360.9i | 1.65227 | + | 0.458751i | ||||
\(800\) | 89394.9 | − | 67956.3i | 3.95074 | − | 3.00327i | ||||
\(801\) | 550.786 | + | 437.828i | 0.0242960 | + | 0.0193132i | ||||
\(802\) | −5380.29 | − | 19378.1i | −0.236889 | − | 0.853195i | ||||
\(803\) | −28186.5 | − | 29756.1i | −1.23871 | − | 1.30769i | ||||
\(804\) | 79033.9 | − | 12080.0i | 3.46680 | − | 0.529889i | ||||
\(805\) | 7834.86 | − | 13021.6i | 0.343034 | − | 0.570127i | ||||
\(806\) | 581.430 | + | 268.998i | 0.0254094 | + | 0.0117556i | ||||
\(807\) | −10693.3 | + | 19652.8i | −0.466447 | + | 0.857261i | ||||
\(808\) | −40515.6 | − | 38378.4i | −1.76403 | − | 1.67097i | ||||
\(809\) | 5886.48 | − | 8681.91i | 0.255819 | − | 0.377305i | −0.677993 | − | 0.735068i | \(-0.737150\pi\) |
0.933812 | + | 0.357763i | \(0.116460\pi\) | |||||||
\(810\) | −16518.1 | + | 62103.9i | −0.716525 | + | 2.69396i | ||||
\(811\) | 2193.32 | + | 20167.3i | 0.0949666 | + | 0.873203i | 0.940618 | + | 0.339467i | \(0.110247\pi\) |
−0.845651 | + | 0.533736i | \(0.820788\pi\) | |||||||
\(812\) | 1020.89 | + | 1696.74i | 0.0441210 | + | 0.0733297i | ||||
\(813\) | 100.370 | + | 120.790i | 0.00432979 | + | 0.00521069i | ||||
\(814\) | 7022.25 | + | 20841.3i | 0.302371 | + | 0.897404i | ||||
\(815\) | −3509.64 | − | 15944.5i | −0.150843 | − | 0.685288i | ||||
\(816\) | −134754. | − | 55388.2i | −5.78103 | − | 2.37620i | ||||
\(817\) | −17052.9 | − | 14484.9i | −0.730240 | − | 0.620272i | ||||
\(818\) | 79503.5 | + | 13033.9i | 3.39826 | + | 0.557116i | ||||
\(819\) | −5410.94 | + | 3500.18i | −0.230859 | + | 0.149336i | ||||
\(820\) | 3101.55 | + | 7784.30i | 0.132086 | + | 0.331512i | ||||
\(821\) | −40165.9 | − | 13533.5i | −1.70743 | − | 0.575300i | −0.715112 | − | 0.699010i | \(-0.753624\pi\) |
−0.992318 | + | 0.123710i | \(0.960521\pi\) | |||||||
\(822\) | 1018.53 | − | 8507.49i | 0.0432181 | − | 0.360989i | ||||
\(823\) | 1779.12 | + | 3845.50i | 0.0753537 | + | 0.162874i | 0.941591 | − | 0.336758i | \(-0.109330\pi\) |
−0.866238 | + | 0.499632i | \(0.833468\pi\) | |||||||
\(824\) | −50767.5 | − | 2752.53i | −2.14632 | − | 0.116370i | ||||
\(825\) | 30041.7 | + | 325.174i | 1.26778 | + | 0.0137225i | ||||
\(826\) | 40535.1 | + | 1132.80i | 1.70750 | + | 0.0477183i | ||||
\(827\) | 20529.3i | 0.863208i | 0.902063 | + | 0.431604i | \(0.142052\pi\) | ||||
−0.902063 | + | 0.431604i | \(0.857948\pi\) | |||||||
\(828\) | −2804.24 | + | 36918.2i | −0.117698 | + | 1.54951i | ||||
\(829\) | −28534.6 | + | 13201.5i | −1.19547 | + | 0.553085i | −0.913698 | − | 0.406395i | \(-0.866786\pi\) |
−0.281777 | + | 0.959480i | \(0.590924\pi\) | |||||||
\(830\) | −1830.20 | + | 16828.4i | −0.0765387 | + | 0.703762i | ||||
\(831\) | 15365.9 | + | 5363.24i | 0.641439 | + | 0.223885i | ||||
\(832\) | −37578.6 | + | 14972.7i | −1.56587 | + | 0.623899i | ||||
\(833\) | −7003.23 | + | 4748.31i | −0.291293 | + | 0.197502i | ||||
\(834\) | −13221.6 | + | 75519.2i | −0.548954 | + | 3.13551i | ||||
\(835\) | 29830.6 | − | 35119.3i | 1.23632 | − | 1.45551i | ||||
\(836\) | −44526.3 | + | 111753.i | −1.84207 | + | 4.62326i | ||||
\(837\) | −199.224 | − | 1069.36i | −0.00822721 | − | 0.0441606i | ||||
\(838\) | 12827.2 | − | 4321.97i | 0.528767 | − | 0.178162i | ||||
\(839\) | 6846.40 | + | 8060.21i | 0.281721 | + | 0.331668i | 0.884763 | − | 0.466042i | \(-0.154320\pi\) |
−0.603041 | + | 0.797710i | \(0.706045\pi\) | |||||||
\(840\) | −55834.5 | − | 95113.1i | −2.29342 | − | 3.90680i | ||||
\(841\) | −24217.5 | + | 2633.81i | −0.992967 | + | 0.107992i | ||||
\(842\) | −4234.93 | + | 19239.5i | −0.173332 | + | 0.787454i | ||||
\(843\) | 25205.3 | + | 17490.8i | 1.02980 | + | 0.714610i | ||||
\(844\) | −68220.0 | + | 72019.0i | −2.78226 | + | 2.93720i | ||||
\(845\) | −27659.6 | − | 14664.2i | −1.12606 | − | 0.596999i | ||||
\(846\) | −52227.9 | − | 25549.9i | −2.12250 | − | 1.03832i | ||||
\(847\) | −10736.3 | − | 6459.84i | −0.435543 | − | 0.262058i | ||||
\(848\) | −152314. | + | 24970.6i | −6.16802 | + | 1.01120i | ||||
\(849\) | 15517.9 | + | 16741.3i | 0.627294 | + | 0.676750i | ||||
\(850\) | −67561.0 | + | 18758.2i | −2.72626 | + | 0.756944i | ||||
\(851\) | −3106.67 | + | 4086.76i | −0.125141 | + | 0.164621i | ||||
\(852\) | 11281.8 | + | 15179.2i | 0.453648 | + | 0.610365i | ||||
\(853\) | 12104.7 | − | 43597.1i | 0.485881 | − | 1.74998i | −0.160567 | − | 0.987025i | \(-0.551332\pi\) |
0.646447 | − | 0.762959i | \(-0.276254\pi\) | |||||||
\(854\) | −35245.1 | + | 18685.8i | −1.41225 | + | 0.748729i | ||||
\(855\) | −48711.9 | + | 1584.57i | −1.94843 | + | 0.0633816i | ||||
\(856\) | −40574.5 | + | 2199.89i | −1.62010 | + | 0.0878394i | ||||
\(857\) | −1097.12 | − | 2069.40i | −0.0437305 | − | 0.0824845i | 0.860684 | − | 0.509140i | \(-0.170036\pi\) |
−0.904414 | + | 0.426656i | \(0.859692\pi\) | |||||||
\(858\) | −18946.6 | − | 5482.05i | −0.753876 | − | 0.218128i | ||||
\(859\) | 12301.8 | + | 16182.7i | 0.488627 | + | 0.642777i | 0.972649 | − | 0.232278i | \(-0.0746179\pi\) |
−0.484023 | + | 0.875055i | \(0.660825\pi\) | |||||||
\(860\) | 56876.8 | + | 43236.6i | 2.25521 | + | 1.71437i | ||||
\(861\) | 1858.87 | − | 494.505i | 0.0735772 | − | 0.0195734i | ||||
\(862\) | 51553.1 | − | 48833.7i | 2.03701 | − | 1.92956i | ||||
\(863\) | 817.953 | + | 4989.29i | 0.0322636 | + | 0.196799i | 0.998040 | − | 0.0625762i | \(-0.0199317\pi\) |
−0.965777 | + | 0.259375i | \(0.916483\pi\) | |||||||
\(864\) | 105103. | + | 67980.8i | 4.13850 | + | 2.67680i | ||||
\(865\) | −15557.7 | + | 33627.4i | −0.611534 | + | 1.32181i | ||||
\(866\) | −1962.53 | + | 3701.73i | −0.0770088 | + | 0.145254i | ||||
\(867\) | 19063.8 | + | 18453.8i | 0.746760 | + | 0.722863i | ||||
\(868\) | 2370.54 | + | 1607.26i | 0.0926973 | + | 0.0628503i | ||||
\(869\) | 34931.5 | + | 7689.00i | 1.36360 | + | 0.300151i | ||||
\(870\) | −2443.77 | + | 239.043i | −0.0952317 | + | 0.00931531i | ||||
\(871\) | −8518.75 | + | 5125.56i | −0.331397 | + | 0.199395i | ||||
\(872\) | 77729.0 | − | 66023.6i | 3.01862 | − | 2.56404i | ||||
\(873\) | 6715.94 | + | 21456.3i | 0.260367 | + | 0.831829i | ||||
\(874\) | −36971.4 | + | 8138.02i | −1.43086 | + | 0.314957i | ||||
\(875\) | −203.468 | − | 81.0692i | −0.00786112 | − | 0.00313216i | ||||
\(876\) | −80434.9 | − | 69834.7i | −3.10233 | − | 2.69349i | ||||
\(877\) | −2991.93 | + | 18249.9i | −0.115200 | + | 0.702687i | 0.864563 | + | 0.502525i | \(0.167595\pi\) |
−0.979763 | + | 0.200163i | \(0.935853\pi\) | |||||||
\(878\) | −21295.3 | − | 31408.3i | −0.818545 | − | 1.20726i | ||||
\(879\) | −2156.46 | + | 832.281i | −0.0827481 | + | 0.0319364i | ||||
\(880\) | 65078.3 | − | 193146.i | 2.49294 | − | 7.39879i | ||||
\(881\) | 17472.6 | + | 1900.26i | 0.668182 | + | 0.0726691i | 0.435922 | − | 0.899985i | \(-0.356422\pi\) |
0.232260 | + | 0.972654i | \(0.425388\pi\) | |||||||
\(882\) | 11641.4 | − | 5082.94i | 0.444430 | − | 0.194049i | ||||
\(883\) | −1272.24 | + | 23465.1i | −0.0484874 | + | 0.894297i | 0.868576 | + | 0.495556i | \(0.165036\pi\) |
−0.917063 | + | 0.398741i | \(0.869447\pi\) | |||||||
\(884\) | 34144.0 | 1.29908 | ||||||||
\(885\) | −16960.7 | + | 33217.7i | −0.644212 | + | 1.26169i | ||||
\(886\) | 86755.3 | 3.28962 | ||||||||
\(887\) | 2199.58 | − | 40568.8i | 0.0832633 | − | 1.53570i | −0.596706 | − | 0.802460i | \(-0.703524\pi\) |
0.679969 | − | 0.733241i | \(-0.261993\pi\) | |||||||
\(888\) | 15276.5 | + | 33979.9i | 0.577303 | + | 1.28411i | ||||
\(889\) | −9661.74 | − | 1050.78i | −0.364504 | − | 0.0396422i | ||||
\(890\) | 733.499 | − | 2176.95i | 0.0276258 | − | 0.0819904i | ||||
\(891\) | 11037.6 | + | 31618.2i | 0.415008 | + | 1.18883i | ||||
\(892\) | 73359.7 | + | 108197.i | 2.75366 | + | 4.06134i | ||||
\(893\) | 7133.89 | − | 43514.8i | 0.267331 | − | 1.63065i | ||||
\(894\) | −25725.1 | + | 29629.9i | −0.962388 | + | 1.10847i | ||||
\(895\) | 29617.3 | + | 11800.6i | 1.10614 | + | 0.440727i | ||||
\(896\) | −126040. | + | 27743.5i | −4.69944 | + | 1.03442i | ||||
\(897\) | −1422.74 | − | 4378.59i | −0.0529585 | − | 0.162984i | ||||
\(898\) | 13444.1 | − | 11419.5i | 0.499594 | − | 0.424359i | ||||
\(899\) | 35.6129 | − | 21.4276i | 0.00132120 | − | 0.000794938i | ||||
\(900\) | 77787.0 | − | 6759.79i | 2.88100 | − | 0.250362i | ||||
\(901\) | 53864.2 | + | 11856.4i | 1.99165 | + | 0.438395i | ||||
\(902\) | 4872.75 | + | 3303.81i | 0.179872 | + | 0.121957i | ||||
\(903\) | 11406.7 | − | 11783.8i | 0.420367 | − | 0.434264i | ||||
\(904\) | 18039.9 | − | 34026.8i | 0.663714 | − | 1.25190i | ||||
\(905\) | −24498.7 | + | 52953.1i | −0.899850 | + | 1.94499i | ||||
\(906\) | −19029.2 | + | 30865.6i | −0.697797 | + | 1.13183i | ||||
\(907\) | 519.200 | + | 3166.98i | 0.0190075 | + | 0.115940i | 0.994626 | − | 0.103532i | \(-0.0330146\pi\) |
−0.975619 | + | 0.219473i | \(0.929566\pi\) | |||||||
\(908\) | −73052.8 | + | 69199.3i | −2.66998 | + | 2.52914i | ||||
\(909\) | −4457.84 | − | 17518.3i | −0.162659 | − | 0.639213i | ||||
\(910\) | 16749.9 | + | 12732.9i | 0.610169 | + | 0.463838i | ||||
\(911\) | −20613.5 | − | 27116.5i | −0.749675 | − | 0.986181i | −0.999838 | − | 0.0179772i | \(-0.994277\pi\) |
0.250163 | − | 0.968204i | \(-0.419516\pi\) | |||||||
\(912\) | −46106.3 | + | 159349.i | −1.67405 | + | 5.78571i | ||||
\(913\) | 4132.06 | + | 7793.89i | 0.149782 | + | 0.282519i | ||||
\(914\) | 13878.8 | − | 752.489i | 0.502266 | − | 0.0272321i | ||||
\(915\) | −1589.76 | − | 36656.8i | −0.0574382 | − | 1.32441i | ||||
\(916\) | 74142.1 | − | 39307.7i | 2.67437 | − | 1.41786i | ||||
\(917\) | 2034.26 | − | 7326.74i | 0.0732576 | − | 0.263850i | ||||
\(918\) | −45254.9 | − | 63724.7i | −1.62705 | − | 2.29110i | ||||
\(919\) | −1623.39 | + | 2135.53i | −0.0582706 | + | 0.0766537i | −0.824305 | − | 0.566146i | \(-0.808434\pi\) |
0.766035 | + | 0.642799i | \(0.222227\pi\) | |||||||
\(920\) | 75921.2 | − | 21079.4i | 2.72070 | − | 0.755400i | ||||
\(921\) | −37446.5 | + | 34710.0i | −1.33974 | + | 1.24184i | ||||
\(922\) | −64688.2 | + | 10605.1i | −2.31062 | + | 0.378807i | ||||
\(923\) | −2015.11 | − | 1212.45i | −0.0718616 | − | 0.0432377i | ||||
\(924\) | −79621.7 | − | 37888.5i | −2.83481 | − | 1.34896i | ||||
\(925\) | 9564.86 | + | 5070.97i | 0.339990 | + | 0.180251i | ||||
\(926\) | 54673.1 | − | 57717.7i | 1.94025 | − | 2.04829i | ||||
\(927\) | −13427.5 | − | 9534.72i | −0.475745 | − | 0.337822i | ||||
\(928\) | −1028.14 | + | 4670.89i | −0.0363689 | + | 0.165226i | ||||
\(929\) | 43129.8 | − | 4690.65i | 1.52319 | − | 0.165657i | 0.692103 | − | 0.721799i | \(-0.256684\pi\) |
0.831087 | + | 0.556142i | \(0.187719\pi\) | |||||||
\(930\) | −3062.70 | + | 1797.90i | −0.107989 | + | 0.0633931i | ||||
\(931\) | 6236.82 | + | 7342.56i | 0.219553 | + | 0.258477i | ||||
\(932\) | 35199.5 | − | 11860.1i | 1.23712 | − | 0.416835i | ||||
\(933\) | −3126.52 | − | 14974.1i | −0.109708 | − | 0.525435i | ||||
\(934\) | 27839.9 | − | 69872.8i | 0.975320 | − | 2.44787i | ||||
\(935\) | −47149.2 | + | 55508.3i | −1.64914 | + | 1.94152i | ||||
\(936\) | −32847.7 | − | 6118.00i | −1.14707 | − | 0.213646i | ||||
\(937\) | 19586.8 | − | 13280.2i | 0.682895 | − | 0.463014i | −0.169762 | − | 0.985485i | \(-0.554300\pi\) |
0.852657 | + | 0.522471i | \(0.174990\pi\) | |||||||
\(938\) | −55665.3 | + | 22179.1i | −1.93767 | + | 0.772039i | ||||
\(939\) | 15355.4 | − | 43993.7i | 0.533657 | − | 1.52895i | ||||
\(940\) | −15223.6 | + | 139979.i | −0.528234 | + | 4.85703i | ||||
\(941\) | −5973.17 | + | 2763.48i | −0.206928 | + | 0.0957353i | −0.520616 | − | 0.853791i | \(-0.674298\pi\) |
0.313688 | + | 0.949526i | \(0.398436\pi\) | |||||||
\(942\) | 13166.9 | + | 856.914i | 0.455416 | + | 0.0296388i | ||||
\(943\) | 1374.19i | 0.0474547i | ||||||||
\(944\) | 89687.3 | + | 89841.1i | 3.09224 | + | 3.09754i | ||||
\(945\) | 1159.81 | − | 35705.6i | 0.0399243 | − | 1.22911i | ||||
\(946\) | 50121.8 | + | 2717.52i | 1.72262 | + | 0.0933978i | ||||
\(947\) | −6498.72 | − | 14046.7i | −0.222999 | − | 0.482004i | 0.763493 | − | 0.645816i | \(-0.223483\pi\) |
−0.986492 | + | 0.163812i | \(0.947621\pi\) | |||||||
\(948\) | 92298.0 | + | 11050.1i | 3.16213 | + | 0.378575i | ||||
\(949\) | 12552.3 | + | 4229.36i | 0.429362 | + | 0.144669i | ||||
\(950\) | 29549.8 | + | 74164.5i | 1.00918 | + | 2.53286i | ||||
\(951\) | −16615.1 | + | 11004.7i | −0.566543 | + | 0.375240i | ||||
\(952\) | 132372. | + | 21701.3i | 4.50652 | + | 0.738807i | ||||
\(953\) | 31073.3 | + | 26393.9i | 1.05621 | + | 0.897149i | 0.994890 | − | 0.100969i | \(-0.0321944\pi\) |
0.0613161 | + | 0.998118i | \(0.480470\pi\) | |||||||
\(954\) | −76239.6 | − | 32306.0i | −2.58737 | − | 1.09638i | ||||
\(955\) | −197.115 | − | 895.505i | −0.00667906 | − | 0.0303433i | ||||
\(956\) | 35233.0 | + | 104568.i | 1.19196 | + | 3.53762i | ||||
\(957\) | −984.170 | + | 817.790i | −0.0332432 | + | 0.0276232i | ||||
\(958\) | 18387.6 | + | 30560.4i | 0.620120 | + | 1.03065i | ||||
\(959\) | 514.989 | + | 4735.25i | 0.0173408 | + | 0.159446i | ||||
\(960\) | 50573.6 | − | 218468.i | 1.70027 | − | 7.34481i | ||||
\(961\) | −16684.6 | + | 24607.9i | −0.560055 | + | 0.826019i | ||||
\(962\) | −5159.88 | − | 4887.70i | −0.172933 | − | 0.163811i | ||||
\(963\) | −11492.5 | − | 6415.41i | −0.384570 | − | 0.214677i | ||||
\(964\) | 31032.9 | + | 14357.4i | 1.03683 | + | 0.479688i | ||||
\(965\) | −16121.0 | + | 26793.3i | −0.537775 | + | 0.893789i | ||||
\(966\) | −4192.58 | − | 27430.1i | −0.139642 | − | 0.913610i | ||||
\(967\) | 36383.4 | + | 38409.5i | 1.20994 | + | 1.27732i | 0.950201 | + | 0.311639i | \(0.100878\pi\) |
0.259739 | + | 0.965679i | \(0.416363\pi\) | |||||||
\(968\) | −17380.0 | − | 62597.0i | −0.577080 | − | 2.07846i | ||||
\(969\) | 36381.3 | − | 46798.6i | 1.20612 | − | 1.55148i | ||||
\(970\) | 58436.6 | − | 44422.3i | 1.93431 | − | 1.47043i | ||||
\(971\) | 18993.1 | + | 5273.42i | 0.627723 | + | 0.174286i | 0.566799 | − | 0.823856i | \(-0.308182\pi\) |
0.0609237 | + | 0.998142i | \(0.480595\pi\) | |||||||
\(972\) | 36549.1 | + | 78989.9i | 1.20608 | + | 2.60659i | ||||
\(973\) | −2307.42 | − | 42557.9i | −0.0760253 | − | 1.40220i | ||||
\(974\) | −4885.13 | − | 90100.9i | −0.160708 | − | 2.96408i | ||||
\(975\) | −8626.85 | + | 4454.73i | −0.283365 | + | 0.146324i | ||||
\(976\) | −120331. | − | 33409.9i | −3.94643 | − | 1.09572i | ||||
\(977\) | −3033.17 | + | 2305.76i | −0.0993241 | + | 0.0755042i | −0.653658 | − | 0.756790i | \(-0.726766\pi\) |
0.554333 | + | 0.832295i | \(0.312973\pi\) | |||||||
\(978\) | −23535.2 | − | 18296.3i | −0.769502 | − | 0.598212i | ||||
\(979\) | −320.268 | − | 1153.50i | −0.0104554 | − | 0.0376569i | ||||
\(980\) | −21155.3 | − | 22333.3i | −0.689572 | − | 0.727972i | ||||
\(981\) | 32707.0 | − | 4637.45i | 1.06448 | − | 0.150930i | ||||
\(982\) | −52356.5 | + | 87017.2i | −1.70139 | + | 2.82773i | ||||
\(983\) | −25204.1 | − | 11660.7i | −0.817789 | − | 0.378349i | −0.0340346 | − | 0.999421i | \(-0.510836\pi\) |
−0.783754 | + | 0.621071i | \(0.786698\pi\) | |||||||
\(984\) | 8760.23 | + | 4766.55i | 0.283807 | + | 0.154423i | ||||
\(985\) | −54437.3 | − | 51565.8i | −1.76093 | − | 1.66804i | ||||
\(986\) | 1675.92 | − | 2471.80i | 0.0541301 | − | 0.0798359i | ||||
\(987\) | 31489.3 | + | 7289.52i | 1.01552 | + | 0.235084i | ||||
\(988\) | −4203.26 | − | 38648.3i | −0.135348 | − | 1.24450i | ||||
\(989\) | 6040.57 | + | 10039.5i | 0.194215 | + | 0.322788i | ||||
\(990\) | 84847.0 | − | 68964.4i | 2.72385 | − | 2.21397i | ||||
\(991\) | 7184.22 | + | 21322.0i | 0.230287 | + | 0.683467i | 0.999035 | + | 0.0439157i | \(0.0139833\pi\) |
−0.768748 | + | 0.639551i | \(0.779120\pi\) | |||||||
\(992\) | 1487.05 | + | 6755.74i | 0.0475947 | + | 0.216225i | ||||
\(993\) | 17789.0 | − | 43278.7i | 0.568496 | − | 1.38309i | ||||
\(994\) | −10803.2 | − | 9176.29i | −0.344724 | − | 0.292811i | ||||
\(995\) | 14368.7 | + | 2355.63i | 0.457808 | + | 0.0750538i | ||||
\(996\) | 12659.8 | + | 19114.0i | 0.402752 | + | 0.608081i | ||||
\(997\) | 4580.70 | + | 11496.7i | 0.145509 | + | 0.365199i | 0.983608 | − | 0.180318i | \(-0.0577126\pi\) |
−0.838100 | + | 0.545517i | \(0.816333\pi\) | |||||||
\(998\) | 21302.6 | + | 7177.70i | 0.675675 | + | 0.227661i | ||||
\(999\) | −1693.54 | + | 11948.2i | −0.0536349 | + | 0.378404i |
(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.2.1 | ✓ | 1624 | |
3.2 | odd | 2 | inner | 177.4.f.a.2.58 | yes | 1624 | |
59.30 | odd | 58 | inner | 177.4.f.a.89.58 | yes | 1624 | |
177.89 | even | 58 | inner | 177.4.f.a.89.1 | yes | 1624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.f.a.2.1 | ✓ | 1624 | 1.1 | even | 1 | trivial | |
177.4.f.a.2.58 | yes | 1624 | 3.2 | odd | 2 | inner | |
177.4.f.a.89.1 | yes | 1624 | 177.89 | even | 58 | inner | |
177.4.f.a.89.58 | yes | 1624 | 59.30 | odd | 58 | inner |