Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,4,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.48414516044\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.1 | ||
Character | \(\chi\) | \(=\) | 76.27 |
Dual form | 76.4.f.a.31.1 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.82835 | − | 0.0213793i | −0.999971 | − | 0.00755872i | ||||
\(3\) | 0.662470 | − | 1.14743i | 0.127492 | − | 0.220823i | −0.795212 | − | 0.606331i | \(-0.792640\pi\) |
0.922704 | + | 0.385508i | \(0.125974\pi\) | |||||||
\(4\) | 7.99909 | + | 0.120936i | 0.999886 | + | 0.0151170i | ||||
\(5\) | 0.369055 | − | 0.639222i | 0.0330093 | − | 0.0571738i | −0.849049 | − | 0.528314i | \(-0.822824\pi\) |
0.882058 | + | 0.471141i | \(0.156158\pi\) | |||||||
\(6\) | −1.89823 | + | 3.23117i | −0.129158 | + | 0.219853i | ||||
\(7\) | − | 4.50637i | − | 0.243321i | −0.992572 | − | 0.121661i | \(-0.961178\pi\) | ||
0.992572 | − | 0.121661i | \(-0.0388220\pi\) | |||||||
\(8\) | −22.6216 | − | 0.513064i | −0.999743 | − | 0.0226744i | ||||
\(9\) | 12.6223 | + | 21.8624i | 0.467491 | + | 0.809719i | ||||
\(10\) | −1.05748 | + | 1.80005i | −0.0334405 | + | 0.0569227i | ||||
\(11\) | − | 49.6710i | − | 1.36149i | −0.732521 | − | 0.680744i | \(-0.761657\pi\) | ||
0.732521 | − | 0.680744i | \(-0.238343\pi\) | |||||||
\(12\) | 5.43792 | − | 9.09829i | 0.130816 | − | 0.218871i | ||||
\(13\) | 73.2720 | − | 42.3036i | 1.56323 | − | 0.902532i | 0.566304 | − | 0.824196i | \(-0.308373\pi\) |
0.996927 | − | 0.0783358i | \(-0.0249606\pi\) | |||||||
\(14\) | −0.0963431 | + | 12.7456i | −0.00183920 | + | 0.243314i | ||||
\(15\) | −0.488976 | − | 0.846931i | −0.00841687 | − | 0.0145784i | ||||
\(16\) | 63.9707 | + | 1.93476i | 0.999543 | + | 0.0302306i | ||||
\(17\) | 17.3122 | − | 29.9855i | 0.246989 | − | 0.427798i | −0.715700 | − | 0.698408i | \(-0.753892\pi\) |
0.962689 | + | 0.270610i | \(0.0872255\pi\) | |||||||
\(18\) | −35.2327 | − | 62.1043i | −0.461358 | − | 0.813229i | ||||
\(19\) | −11.1774 | − | 82.0614i | −0.134962 | − | 0.990851i | ||||
\(20\) | 3.02941 | − | 5.06856i | 0.0338698 | − | 0.0566683i | ||||
\(21\) | −5.17076 | − | 2.98534i | −0.0537310 | − | 0.0310216i | ||||
\(22\) | −1.06193 | + | 140.487i | −0.0102911 | + | 1.36145i | ||||
\(23\) | 73.7917 | − | 42.6037i | 0.668984 | − | 0.386238i | −0.126707 | − | 0.991940i | \(-0.540441\pi\) |
0.795692 | + | 0.605702i | \(0.207108\pi\) | |||||||
\(24\) | −15.5748 | + | 25.6168i | −0.132467 | + | 0.217876i | ||||
\(25\) | 62.2276 | + | 107.781i | 0.497821 | + | 0.862251i | ||||
\(26\) | −208.143 | + | 118.083i | −1.57001 | + | 0.890690i | ||||
\(27\) | 69.2209 | 0.493391 | ||||||||
\(28\) | 0.544983 | − | 36.0469i | 0.00367829 | − | 0.243293i | ||||
\(29\) | −138.595 | + | 80.0179i | −0.887464 | + | 0.512377i | −0.873112 | − | 0.487520i | \(-0.837902\pi\) |
−0.0143516 | + | 0.999897i | \(0.504568\pi\) | |||||||
\(30\) | 1.36489 | + | 2.40587i | 0.00830644 | + | 0.0146417i | ||||
\(31\) | −134.491 | −0.779202 | −0.389601 | − | 0.920984i | \(-0.627387\pi\) | ||||
−0.389601 | + | 0.920984i | \(0.627387\pi\) | |||||||
\(32\) | −180.890 | − | 6.83981i | −0.999286 | − | 0.0377850i | ||||
\(33\) | −56.9941 | − | 32.9056i | −0.300648 | − | 0.173579i | ||||
\(34\) | −49.6059 | + | 84.4394i | −0.250216 | + | 0.425919i | ||||
\(35\) | −2.88058 | − | 1.66310i | −0.0139116 | − | 0.00803187i | ||||
\(36\) | 98.3226 | + | 176.406i | 0.455197 | + | 0.816693i | ||||
\(37\) | 79.1323i | 0.351602i | 0.984426 | + | 0.175801i | \(0.0562515\pi\) | ||||
−0.984426 | + | 0.175801i | \(0.943748\pi\) | |||||||
\(38\) | 29.8592 | + | 232.337i | 0.127468 | + | 0.991843i | ||||
\(39\) | − | 112.100i | − | 0.460264i | ||||||
\(40\) | −8.67658 | + | 14.2709i | −0.0342972 | + | 0.0564106i | ||||
\(41\) | −198.231 | − | 114.449i | −0.755086 | − | 0.435949i | 0.0724427 | − | 0.997373i | \(-0.476921\pi\) |
−0.827529 | + | 0.561423i | \(0.810254\pi\) | |||||||
\(42\) | 14.5609 | + | 8.55411i | 0.0534950 | + | 0.0314269i | ||||
\(43\) | 355.124 | + | 205.031i | 1.25944 | + | 0.727138i | 0.972965 | − | 0.230951i | \(-0.0741836\pi\) |
0.286474 | + | 0.958088i | \(0.407517\pi\) | |||||||
\(44\) | 6.00702 | − | 397.323i | 0.0205816 | − | 1.36133i | ||||
\(45\) | 18.6333 | 0.0617263 | ||||||||
\(46\) | −209.619 | + | 118.920i | −0.671885 | + | 0.381171i | ||||
\(47\) | −249.877 | + | 144.266i | −0.775495 | + | 0.447732i | −0.834831 | − | 0.550506i | \(-0.814435\pi\) |
0.0593363 | + | 0.998238i | \(0.481102\pi\) | |||||||
\(48\) | 44.5987 | − | 72.1203i | 0.134110 | − | 0.216868i | ||||
\(49\) | 322.693 | 0.940795 | ||||||||
\(50\) | −173.697 | − | 306.173i | −0.491289 | − | 0.865989i | ||||
\(51\) | −22.9376 | − | 39.7290i | −0.0629785 | − | 0.109082i | ||||
\(52\) | 591.225 | − | 329.529i | 1.57670 | − | 0.878797i | ||||
\(53\) | 134.834 | − | 77.8462i | 0.349449 | − | 0.201755i | −0.314993 | − | 0.949094i | \(-0.602002\pi\) |
0.664443 | + | 0.747339i | \(0.268669\pi\) | |||||||
\(54\) | −195.781 | − | 1.47989i | −0.493377 | − | 0.00372941i | ||||
\(55\) | −31.7508 | − | 18.3313i | −0.0778415 | − | 0.0449418i | ||||
\(56\) | −2.31206 | + | 101.941i | −0.00551718 | + | 0.243259i | ||||
\(57\) | −101.564 | − | 41.5379i | −0.236010 | − | 0.0965232i | ||||
\(58\) | 393.705 | − | 223.355i | 0.891311 | − | 0.505655i | ||||
\(59\) | −340.388 | + | 589.569i | −0.751097 | + | 1.30094i | 0.196194 | + | 0.980565i | \(0.437142\pi\) |
−0.947291 | + | 0.320373i | \(0.896192\pi\) | |||||||
\(60\) | −3.80894 | − | 6.83381i | −0.00819553 | − | 0.0147040i | ||||
\(61\) | −103.732 | − | 179.668i | −0.217729 | − | 0.377118i | 0.736384 | − | 0.676563i | \(-0.236532\pi\) |
−0.954113 | + | 0.299446i | \(0.903198\pi\) | |||||||
\(62\) | 380.387 | + | 2.87532i | 0.779180 | + | 0.00588978i | ||||
\(63\) | 98.5202 | − | 56.8806i | 0.197022 | − | 0.113751i | ||||
\(64\) | 511.474 | + | 23.2127i | 0.998972 | + | 0.0453372i | ||||
\(65\) | − | 62.4495i | − | 0.119168i | ||||||
\(66\) | 160.496 | + | 94.2868i | 0.299328 | + | 0.175847i | ||||
\(67\) | −152.027 | − | 263.319i | −0.277211 | − | 0.480143i | 0.693480 | − | 0.720476i | \(-0.256077\pi\) |
−0.970690 | + | 0.240333i | \(0.922743\pi\) | |||||||
\(68\) | 142.108 | − | 237.763i | 0.253428 | − | 0.424015i | ||||
\(69\) | − | 112.895i | − | 0.196970i | ||||||
\(70\) | 8.11171 | + | 4.76541i | 0.0138505 | + | 0.00813679i | ||||
\(71\) | 265.767 | − | 460.321i | 0.444235 | − | 0.769438i | −0.553764 | − | 0.832674i | \(-0.686809\pi\) |
0.997999 | + | 0.0632363i | \(0.0201422\pi\) | |||||||
\(72\) | −274.319 | − | 501.039i | −0.449011 | − | 0.820111i | ||||
\(73\) | 20.3869 | − | 35.3111i | 0.0326864 | − | 0.0566144i | −0.849219 | − | 0.528040i | \(-0.822927\pi\) |
0.881906 | + | 0.471426i | \(0.156260\pi\) | |||||||
\(74\) | 1.69179 | − | 223.814i | 0.00265766 | − | 0.351592i | ||||
\(75\) | 164.896 | 0.253873 | ||||||||
\(76\) | −79.4850 | − | 657.768i | −0.119968 | − | 0.992778i | ||||
\(77\) | −223.836 | −0.331279 | ||||||||
\(78\) | −2.39661 | + | 317.056i | −0.00347901 | + | 0.460251i | ||||
\(79\) | −522.516 | + | 905.025i | −0.744148 | + | 1.28890i | 0.206444 | + | 0.978458i | \(0.433811\pi\) |
−0.950592 | + | 0.310444i | \(0.899522\pi\) | |||||||
\(80\) | 24.8455 | − | 40.1775i | 0.0347226 | − | 0.0561498i | ||||
\(81\) | −294.944 | + | 510.859i | −0.404588 | + | 0.700767i | ||||
\(82\) | 558.220 | + | 327.939i | 0.751769 | + | 0.441644i | ||||
\(83\) | 723.982i | 0.957438i | 0.877968 | + | 0.478719i | \(0.158899\pi\) | ||||
−0.877968 | + | 0.478719i | \(0.841101\pi\) | |||||||
\(84\) | −41.0003 | − | 24.5053i | −0.0532559 | − | 0.0318303i | ||||
\(85\) | −12.7783 | − | 22.1326i | −0.0163059 | − | 0.0282426i | ||||
\(86\) | −1000.03 | − | 587.491i | −1.25391 | − | 0.736637i | ||||
\(87\) | 212.038i | 0.261297i | ||||||||
\(88\) | −25.4844 | + | 1123.64i | −0.0308710 | + | 1.36114i | ||||
\(89\) | −383.737 | + | 221.551i | −0.457034 | + | 0.263869i | −0.710796 | − | 0.703398i | \(-0.751665\pi\) |
0.253762 | + | 0.967267i | \(0.418332\pi\) | |||||||
\(90\) | −52.7013 | − | 0.398366i | −0.0617245 | − | 0.000466572i | ||||
\(91\) | −190.636 | − | 330.191i | −0.219605 | − | 0.380367i | ||||
\(92\) | 595.419 | − | 331.866i | 0.674747 | − | 0.376081i | ||||
\(93\) | −89.0962 | + | 154.319i | −0.0993424 | + | 0.172066i | ||||
\(94\) | 709.822 | − | 402.693i | 0.778857 | − | 0.441858i | ||||
\(95\) | −56.5805 | − | 23.1403i | −0.0611057 | − | 0.0249910i | ||||
\(96\) | −127.682 | + | 203.028i | −0.135745 | + | 0.215848i | ||||
\(97\) | 646.872 | + | 373.472i | 0.677113 | + | 0.390931i | 0.798766 | − | 0.601642i | \(-0.205486\pi\) |
−0.121654 | + | 0.992573i | \(0.538820\pi\) | |||||||
\(98\) | −912.686 | − | 6.89894i | −0.940768 | − | 0.00711121i | ||||
\(99\) | 1085.93 | − | 626.961i | 1.10242 | − | 0.636484i | ||||
\(100\) | 484.729 | + | 869.678i | 0.484729 | + | 0.869678i | ||||
\(101\) | −646.936 | − | 1120.53i | −0.637352 | − | 1.10393i | −0.986012 | − | 0.166677i | \(-0.946696\pi\) |
0.348659 | − | 0.937250i | \(-0.386637\pi\) | |||||||
\(102\) | 64.0260 | + | 112.858i | 0.0621522 | + | 0.109555i | ||||
\(103\) | −1326.23 | −1.26871 | −0.634354 | − | 0.773043i | \(-0.718734\pi\) | ||||
−0.634354 | + | 0.773043i | \(0.718734\pi\) | |||||||
\(104\) | −1679.24 | + | 919.383i | −1.58329 | + | 0.866855i | ||||
\(105\) | −3.81659 | + | 2.20351i | −0.00354725 | + | 0.00204800i | ||||
\(106\) | −383.020 | + | 217.293i | −0.350964 | + | 0.199108i | ||||
\(107\) | 1319.98 | 1.19259 | 0.596295 | − | 0.802765i | \(-0.296639\pi\) | ||||
0.596295 | + | 0.802765i | \(0.296639\pi\) | |||||||
\(108\) | 553.704 | + | 8.37130i | 0.493335 | + | 0.00745860i | ||||
\(109\) | −64.6250 | − | 37.3113i | −0.0567886 | − | 0.0327869i | 0.471337 | − | 0.881953i | \(-0.343772\pi\) |
−0.528125 | + | 0.849166i | \(0.677105\pi\) | |||||||
\(110\) | 89.4104 | + | 52.5262i | 0.0774995 | + | 0.0455289i | ||||
\(111\) | 90.7989 | + | 52.4228i | 0.0776419 | + | 0.0448266i | ||||
\(112\) | 8.71874 | − | 288.276i | 0.00735574 | − | 0.243210i | ||||
\(113\) | − | 786.249i | − | 0.654549i | −0.944929 | − | 0.327275i | \(-0.893870\pi\) | ||
0.944929 | − | 0.327275i | \(-0.106130\pi\) | |||||||
\(114\) | 286.372 | + | 119.655i | 0.235273 | + | 0.0983044i | ||||
\(115\) | − | 62.8925i | − | 0.0509978i | ||||||
\(116\) | −1118.31 | + | 623.309i | −0.895108 | + | 0.498903i | ||||
\(117\) | 1849.72 | + | 1067.94i | 1.46159 | + | 0.843852i | ||||
\(118\) | 975.339 | − | 1660.23i | 0.760909 | − | 1.29522i | ||||
\(119\) | −135.126 | − | 78.0151i | −0.104092 | − | 0.0600977i | ||||
\(120\) | 10.6269 | + | 19.4098i | 0.00808415 | + | 0.0147655i | ||||
\(121\) | −1136.21 | −0.853651 | ||||||||
\(122\) | 289.548 | + | 510.382i | 0.214872 | + | 0.378753i | ||||
\(123\) | −262.645 | + | 151.638i | −0.192535 | + | 0.111160i | ||||
\(124\) | −1075.80 | − | 16.2648i | −0.779113 | − | 0.0117792i | ||||
\(125\) | 184.126 | 0.131749 | ||||||||
\(126\) | −279.865 | + | 158.772i | −0.197876 | + | 0.112258i | ||||
\(127\) | −552.637 | − | 957.195i | −0.386131 | − | 0.668798i | 0.605795 | − | 0.795621i | \(-0.292855\pi\) |
−0.991925 | + | 0.126823i | \(0.959522\pi\) | |||||||
\(128\) | −1446.13 | − | 76.5884i | −0.998601 | − | 0.0528869i | ||||
\(129\) | 470.518 | − | 271.654i | 0.321138 | − | 0.185409i | ||||
\(130\) | −1.33513 | + | 176.629i | −0.000900757 | + | 0.119164i | ||||
\(131\) | 1054.72 | + | 608.945i | 0.703448 | + | 0.406136i | 0.808630 | − | 0.588317i | \(-0.200209\pi\) |
−0.105182 | + | 0.994453i | \(0.533543\pi\) | |||||||
\(132\) | −451.921 | − | 270.107i | −0.297990 | − | 0.178105i | ||||
\(133\) | −369.799 | + | 50.3696i | −0.241095 | + | 0.0328391i | ||||
\(134\) | 424.357 | + | 748.008i | 0.273573 | + | 0.482224i | ||||
\(135\) | 25.5463 | − | 44.2475i | 0.0162865 | − | 0.0282090i | ||||
\(136\) | −407.013 | + | 669.439i | −0.256626 | + | 0.422087i | ||||
\(137\) | 707.565 | + | 1225.54i | 0.441251 | + | 0.764269i | 0.997783 | − | 0.0665575i | \(-0.0212016\pi\) |
−0.556532 | + | 0.830826i | \(0.687868\pi\) | |||||||
\(138\) | −2.41361 | + | 319.305i | −0.00148884 | + | 0.196964i | ||||
\(139\) | 2333.04 | − | 1346.98i | 1.42364 | − | 0.821938i | 0.427031 | − | 0.904237i | \(-0.359560\pi\) |
0.996608 | + | 0.0822989i | \(0.0262262\pi\) | |||||||
\(140\) | −22.8408 | − | 13.6517i | −0.0137886 | − | 0.00824125i | ||||
\(141\) | 382.289i | 0.228330i | ||||||||
\(142\) | −761.521 | + | 1296.27i | −0.450038 | + | 0.766058i | ||||
\(143\) | −2101.26 | − | 3639.50i | −1.22879 | − | 2.12832i | ||||
\(144\) | 765.157 | + | 1422.98i | 0.442799 | + | 0.823481i | ||||
\(145\) | 118.124i | 0.0676529i | ||||||||
\(146\) | −58.4161 | + | 99.4362i | −0.0331134 | + | 0.0563657i | ||||
\(147\) | 213.774 | − | 370.268i | 0.119944 | − | 0.207749i | ||||
\(148\) | −9.56995 | + | 632.986i | −0.00531517 | + | 0.351562i | ||||
\(149\) | −591.567 | + | 1024.62i | −0.325255 | + | 0.563359i | −0.981564 | − | 0.191134i | \(-0.938784\pi\) |
0.656309 | + | 0.754493i | \(0.272117\pi\) | |||||||
\(150\) | −466.382 | − | 3.52535i | −0.253866 | − | 0.00191896i | ||||
\(151\) | −1594.75 | −0.859463 | −0.429732 | − | 0.902957i | \(-0.641392\pi\) | ||||
−0.429732 | + | 0.902957i | \(0.641392\pi\) | |||||||
\(152\) | 210.748 | + | 1862.09i | 0.112460 | + | 0.993656i | ||||
\(153\) | 874.075 | 0.461861 | ||||||||
\(154\) | 633.086 | + | 4.78546i | 0.331270 | + | 0.00250405i | ||||
\(155\) | −49.6346 | + | 85.9696i | −0.0257209 | + | 0.0445500i | ||||
\(156\) | 13.5569 | − | 896.694i | 0.00695782 | − | 0.460211i | ||||
\(157\) | 664.438 | − | 1150.84i | 0.337758 | − | 0.585013i | −0.646253 | − | 0.763123i | \(-0.723665\pi\) |
0.984011 | + | 0.178110i | \(0.0569982\pi\) | |||||||
\(158\) | 1497.21 | − | 2548.55i | 0.753869 | − | 1.28324i | ||||
\(159\) | − | 206.283i | − | 0.102889i | ||||||
\(160\) | −71.1306 | + | 113.105i | −0.0351460 | + | 0.0558857i | ||||
\(161\) | −191.988 | − | 332.533i | −0.0939800 | − | 0.162778i | ||||
\(162\) | 845.127 | − | 1438.58i | 0.409873 | − | 0.697688i | ||||
\(163\) | 2556.53i | 1.22848i | 0.789118 | + | 0.614241i | \(0.210538\pi\) | ||||
−0.789118 | + | 0.614241i | \(0.789462\pi\) | |||||||
\(164\) | −1571.83 | − | 939.460i | −0.748409 | − | 0.447314i | ||||
\(165\) | −42.0679 | + | 24.2879i | −0.0198484 | + | 0.0114595i | ||||
\(166\) | 15.4782 | − | 2047.67i | 0.00723701 | − | 0.957411i | ||||
\(167\) | 239.494 | + | 414.816i | 0.110974 | + | 0.192212i | 0.916163 | − | 0.400806i | \(-0.131270\pi\) |
−0.805189 | + | 0.593018i | \(0.797936\pi\) | |||||||
\(168\) | 115.439 | + | 70.1860i | 0.0530138 | + | 0.0322320i | ||||
\(169\) | 2480.69 | − | 4296.69i | 1.12913 | − | 1.95571i | ||||
\(170\) | 35.6682 | + | 62.8720i | 0.0160919 | + | 0.0283651i | ||||
\(171\) | 1652.97 | − | 1280.17i | 0.739217 | − | 0.572495i | ||||
\(172\) | 2815.87 | + | 1683.01i | 1.24830 | + | 0.746093i | ||||
\(173\) | 1959.77 | + | 1131.47i | 0.861262 | + | 0.497250i | 0.864435 | − | 0.502745i | \(-0.167677\pi\) |
−0.00317273 | + | 0.999995i | \(0.501010\pi\) | |||||||
\(174\) | 4.53322 | − | 599.716i | 0.00197507 | − | 0.261289i | ||||
\(175\) | 485.703 | − | 280.421i | 0.209804 | − | 0.121130i | ||||
\(176\) | 96.1013 | − | 3177.49i | 0.0411586 | − | 1.36087i | ||||
\(177\) | 450.994 | + | 781.144i | 0.191518 | + | 0.331720i | ||||
\(178\) | 1090.08 | − | 618.418i | 0.459015 | − | 0.260407i | ||||
\(179\) | 353.630 | 0.147662 | 0.0738311 | − | 0.997271i | \(-0.476477\pi\) | ||||
0.0738311 | + | 0.997271i | \(0.476477\pi\) | |||||||
\(180\) | 149.049 | + | 2.25343i | 0.0617192 | + | 0.000933117i | ||||
\(181\) | −2979.93 | + | 1720.46i | −1.22374 | + | 0.706525i | −0.965713 | − | 0.259613i | \(-0.916405\pi\) |
−0.258025 | + | 0.966138i | \(0.583072\pi\) | |||||||
\(182\) | 532.125 | + | 937.971i | 0.216724 | + | 0.382017i | ||||
\(183\) | −274.876 | −0.111035 | ||||||||
\(184\) | −1691.15 | + | 925.903i | −0.677570 | + | 0.370970i | ||||
\(185\) | 50.5831 | + | 29.2042i | 0.0201024 | + | 0.0116061i | ||||
\(186\) | 255.294 | − | 434.563i | 0.100640 | − | 0.171310i | ||||
\(187\) | −1489.41 | − | 859.913i | −0.582442 | − | 0.336273i | ||||
\(188\) | −2016.23 | + | 1123.78i | −0.782175 | + | 0.435958i | ||||
\(189\) | − | 311.935i | − | 0.120053i | ||||||
\(190\) | 159.535 | + | 66.6585i | 0.0609151 | + | 0.0254522i | ||||
\(191\) | 2214.92i | 0.839088i | 0.907735 | + | 0.419544i | \(0.137810\pi\) | ||||
−0.907735 | + | 0.419544i | \(0.862190\pi\) | |||||||
\(192\) | 365.471 | − | 571.503i | 0.137373 | − | 0.214816i | ||||
\(193\) | −2298.46 | − | 1327.02i | −0.857238 | − | 0.494927i | 0.00584807 | − | 0.999983i | \(-0.498138\pi\) |
−0.863087 | + | 0.505056i | \(0.831472\pi\) | |||||||
\(194\) | −1821.59 | − | 1070.14i | −0.674138 | − | 0.396038i | ||||
\(195\) | −71.6565 | − | 41.3709i | −0.0263150 | − | 0.0151930i | ||||
\(196\) | 2581.25 | + | 39.0252i | 0.940687 | + | 0.0142220i | ||||
\(197\) | 2067.70 | 0.747805 | 0.373903 | − | 0.927468i | \(-0.378019\pi\) | ||||
0.373903 | + | 0.927468i | \(0.378019\pi\) | |||||||
\(198\) | −3084.78 | + | 1750.05i | −1.10720 | + | 0.628133i | ||||
\(199\) | −2688.65 | + | 1552.29i | −0.957755 | + | 0.552960i | −0.895481 | − | 0.445099i | \(-0.853168\pi\) |
−0.0622735 | + | 0.998059i | \(0.519835\pi\) | |||||||
\(200\) | −1352.39 | − | 2470.11i | −0.478142 | − | 0.873317i | ||||
\(201\) | −402.854 | −0.141369 | ||||||||
\(202\) | 1805.80 | + | 3183.07i | 0.628990 | + | 1.10871i | ||||
\(203\) | 360.590 | + | 624.561i | 0.124672 | + | 0.215939i | ||||
\(204\) | −178.675 | − | 320.570i | −0.0613223 | − | 0.110022i | ||||
\(205\) | −146.317 | + | 84.4759i | −0.0498497 | + | 0.0287808i | ||||
\(206\) | 3751.02 | + | 28.3538i | 1.26867 | + | 0.00958981i | ||||
\(207\) | 1862.84 | + | 1075.51i | 0.625489 | + | 0.361126i | ||||
\(208\) | 4769.11 | − | 2564.43i | 1.58980 | − | 0.854862i | ||||
\(209\) | −4076.07 | + | 555.194i | −1.34903 | + | 0.183749i | ||||
\(210\) | 10.8417 | − | 6.15069i | 0.00356263 | − | 0.00202113i | ||||
\(211\) | −2780.73 | + | 4816.37i | −0.907269 | + | 1.57144i | −0.0894259 | + | 0.995993i | \(0.528503\pi\) |
−0.817843 | + | 0.575442i | \(0.804830\pi\) | |||||||
\(212\) | 1087.96 | − | 606.392i | 0.352459 | − | 0.196449i | ||||
\(213\) | −352.125 | − | 609.898i | −0.113273 | − | 0.196195i | ||||
\(214\) | −3733.36 | − | 28.2202i | −1.19256 | − | 0.00901446i | ||||
\(215\) | 262.121 | − | 151.335i | 0.0831464 | − | 0.0480046i | ||||
\(216\) | −1565.89 | − | 35.5147i | −0.493264 | − | 0.0111874i | ||||
\(217\) | 606.066i | 0.189597i | ||||||||
\(218\) | 181.984 | + | 106.911i | 0.0565391 | + | 0.0332152i | ||||
\(219\) | −27.0114 | − | 46.7851i | −0.00833452 | − | 0.0144358i | ||||
\(220\) | −251.761 | − | 150.474i | −0.0771532 | − | 0.0461134i | ||||
\(221\) | − | 2929.47i | − | 0.891662i | ||||||
\(222\) | −255.690 | − | 150.211i | −0.0773008 | − | 0.0454122i | ||||
\(223\) | −1420.79 | + | 2460.88i | −0.426652 | + | 0.738982i | −0.996573 | − | 0.0827169i | \(-0.973640\pi\) |
0.569922 | + | 0.821699i | \(0.306974\pi\) | |||||||
\(224\) | −30.8228 | + | 815.158i | −0.00919389 | + | 0.243148i | ||||
\(225\) | −1570.91 | + | 2720.89i | −0.465454 | + | 0.806190i | ||||
\(226\) | −16.8095 | + | 2223.78i | −0.00494756 | + | 0.654531i | ||||
\(227\) | 6747.68 | 1.97295 | 0.986474 | − | 0.163918i | \(-0.0524132\pi\) | ||||
0.986474 | + | 0.163918i | \(0.0524132\pi\) | |||||||
\(228\) | −807.400 | − | 344.548i | −0.234523 | − | 0.100080i | ||||
\(229\) | −5819.92 | −1.67944 | −0.839719 | − | 0.543022i | \(-0.817280\pi\) | ||||
−0.839719 | + | 0.543022i | \(0.817280\pi\) | |||||||
\(230\) | −1.34460 | + | 177.882i | −0.000385479 | + | 0.0509964i | ||||
\(231\) | −148.285 | + | 256.837i | −0.0422356 | + | 0.0731542i | ||||
\(232\) | 3176.29 | − | 1739.02i | 0.898853 | − | 0.492123i | ||||
\(233\) | −2388.43 | + | 4136.88i | −0.671550 | + | 1.16316i | 0.305914 | + | 0.952059i | \(0.401038\pi\) |
−0.977464 | + | 0.211100i | \(0.932295\pi\) | |||||||
\(234\) | −5208.81 | − | 3060.04i | −1.45517 | − | 0.854876i | ||||
\(235\) | 212.969i | 0.0591173i | ||||||||
\(236\) | −2794.09 | + | 4674.85i | −0.770678 | + | 1.28944i | ||||
\(237\) | 692.303 | + | 1199.10i | 0.189746 | + | 0.328650i | ||||
\(238\) | 380.515 | + | 223.542i | 0.103635 | + | 0.0608828i | ||||
\(239\) | 2200.76i | 0.595630i | 0.954624 | + | 0.297815i | \(0.0962578\pi\) | ||||
−0.954624 | + | 0.297815i | \(0.903742\pi\) | |||||||
\(240\) | −29.6416 | − | 55.1249i | −0.00797231 | − | 0.0148262i | ||||
\(241\) | 2267.70 | − | 1309.25i | 0.606121 | − | 0.349944i | −0.165325 | − | 0.986239i | \(-0.552867\pi\) |
0.771446 | + | 0.636295i | \(0.219534\pi\) | |||||||
\(242\) | 3213.59 | + | 24.2914i | 0.853626 | + | 0.00645251i | ||||
\(243\) | 1325.27 | + | 2295.43i | 0.349859 | + | 0.605974i | ||||
\(244\) | −808.029 | − | 1449.73i | −0.212003 | − | 0.380366i | ||||
\(245\) | 119.091 | − | 206.272i | 0.0310550 | − | 0.0537888i | ||||
\(246\) | 746.092 | − | 423.269i | 0.193370 | − | 0.109702i | ||||
\(247\) | −4290.49 | − | 5539.96i | −1.10525 | − | 1.42712i | ||||
\(248\) | 3042.40 | + | 69.0024i | 0.779002 | + | 0.0176680i | ||||
\(249\) | 830.720 | + | 479.617i | 0.211425 | + | 0.122066i | ||||
\(250\) | −520.771 | − | 3.93647i | −0.131746 | − | 0.000995858i | ||||
\(251\) | −2025.28 | + | 1169.30i | −0.509302 | + | 0.294046i | −0.732547 | − | 0.680717i | \(-0.761668\pi\) |
0.223245 | + | 0.974762i | \(0.428335\pi\) | |||||||
\(252\) | 794.950 | − | 443.079i | 0.198719 | − | 0.110759i | ||||
\(253\) | −2116.17 | − | 3665.31i | −0.525859 | − | 0.910815i | ||||
\(254\) | 1542.58 | + | 2719.09i | 0.381064 | + | 0.671697i | ||||
\(255\) | −33.8609 | −0.00831550 | ||||||||
\(256\) | 4088.51 | + | 247.536i | 0.998172 | + | 0.0604335i | ||||
\(257\) | −869.787 | + | 502.172i | −0.211112 | + | 0.121886i | −0.601828 | − | 0.798626i | \(-0.705561\pi\) |
0.390716 | + | 0.920511i | \(0.372227\pi\) | |||||||
\(258\) | −1336.60 | + | 758.271i | −0.322530 | + | 0.182976i | ||||
\(259\) | 356.600 | 0.0855522 | ||||||||
\(260\) | 7.55240 | − | 499.539i | 0.00180146 | − | 0.119154i | ||||
\(261\) | −3498.77 | − | 2020.01i | −0.829763 | − | 0.479064i | ||||
\(262\) | −2970.11 | − | 1744.86i | −0.700358 | − | 0.411442i | ||||
\(263\) | −1845.24 | − | 1065.35i | −0.432632 | − | 0.249780i | 0.267835 | − | 0.963465i | \(-0.413692\pi\) |
−0.700467 | + | 0.713684i | \(0.747025\pi\) | |||||||
\(264\) | 1272.41 | + | 773.618i | 0.296635 | + | 0.180352i | ||||
\(265\) | − | 114.918i | − | 0.0266391i | ||||||
\(266\) | 1047.00 | − | 134.557i | 0.241336 | − | 0.0310158i | ||||
\(267\) | 587.082i | 0.134565i | ||||||||
\(268\) | −1184.24 | − | 2124.70i | −0.269921 | − | 0.484279i | ||||
\(269\) | 6843.59 | + | 3951.15i | 1.55116 | + | 0.895561i | 0.998048 | + | 0.0624516i | \(0.0198919\pi\) |
0.553109 | + | 0.833109i | \(0.313441\pi\) | |||||||
\(270\) | −73.1998 | + | 124.601i | −0.0164993 | + | 0.0280851i | ||||
\(271\) | −2528.33 | − | 1459.73i | −0.566735 | − | 0.327204i | 0.189110 | − | 0.981956i | \(-0.439440\pi\) |
−0.755844 | + | 0.654752i | \(0.772773\pi\) | |||||||
\(272\) | 1165.49 | − | 1884.70i | 0.259809 | − | 0.420136i | ||||
\(273\) | −505.162 | −0.111992 | ||||||||
\(274\) | −1975.04 | − | 3481.37i | −0.435461 | − | 0.767582i | ||||
\(275\) | 5353.61 | − | 3090.91i | 1.17394 | − | 0.677777i | ||||
\(276\) | 13.6530 | − | 903.054i | 0.00297760 | − | 0.196947i | ||||
\(277\) | 7348.21 | 1.59390 | 0.796952 | − | 0.604043i | \(-0.206444\pi\) | ||||
0.796952 | + | 0.604043i | \(0.206444\pi\) | |||||||
\(278\) | −6627.44 | + | 3759.85i | −1.42981 | + | 0.811154i | ||||
\(279\) | −1697.58 | − | 2940.29i | −0.364270 | − | 0.630935i | ||||
\(280\) | 64.3099 | + | 39.0999i | 0.0137259 | + | 0.00834524i | ||||
\(281\) | 7853.37 | − | 4534.15i | 1.66723 | − | 0.962578i | 0.698115 | − | 0.715986i | \(-0.254023\pi\) |
0.969119 | − | 0.246592i | \(-0.0793108\pi\) | |||||||
\(282\) | 8.17306 | − | 1081.24i | 0.00172588 | − | 0.228323i | ||||
\(283\) | 1365.03 | + | 788.098i | 0.286722 | + | 0.165539i | 0.636463 | − | 0.771308i | \(-0.280397\pi\) |
−0.349741 | + | 0.936847i | \(0.613730\pi\) | |||||||
\(284\) | 2181.56 | − | 3650.01i | 0.455816 | − | 0.762634i | ||||
\(285\) | −64.0348 | + | 49.5925i | −0.0133091 | + | 0.0103074i | ||||
\(286\) | 5865.29 | + | 10338.7i | 1.21266 | + | 2.13755i | ||||
\(287\) | −515.749 | + | 893.304i | −0.106076 | + | 0.183728i | ||||
\(288\) | −2133.71 | − | 4041.03i | −0.436562 | − | 0.826805i | ||||
\(289\) | 1857.08 | + | 3216.55i | 0.377993 | + | 0.654703i | ||||
\(290\) | 2.52541 | − | 334.096i | 0.000511370 | − | 0.0676510i | ||||
\(291\) | 857.067 | − | 494.828i | 0.172653 | − | 0.0996815i | ||||
\(292\) | 167.347 | − | 279.991i | 0.0335385 | − | 0.0561138i | ||||
\(293\) | − | 2462.12i | − | 0.490916i | −0.969407 | − | 0.245458i | \(-0.921062\pi\) | ||
0.969407 | − | 0.245458i | \(-0.0789384\pi\) | |||||||
\(294\) | −612.543 | + | 1042.67i | −0.121511 | + | 0.206837i | ||||
\(295\) | 251.244 | + | 435.167i | 0.0495864 | + | 0.0858861i | ||||
\(296\) | 40.5999 | − | 1790.10i | 0.00797238 | − | 0.351511i | ||||
\(297\) | − | 3438.27i | − | 0.671746i | ||||||
\(298\) | 1695.06 | − | 2885.35i | 0.329504 | − | 0.560884i | ||||
\(299\) | 3604.58 | − | 6243.32i | 0.697185 | − | 1.20756i | ||||
\(300\) | 1319.01 | + | 19.9418i | 0.253844 | + | 0.00383781i | ||||
\(301\) | 923.946 | − | 1600.32i | 0.176928 | − | 0.306448i | ||||
\(302\) | 4510.51 | + | 34.0947i | 0.859439 | + | 0.00649645i | ||||
\(303\) | −1714.30 | −0.325030 | ||||||||
\(304\) | −556.259 | − | 5271.15i | −0.104946 | − | 0.994478i | ||||
\(305\) | −153.131 | −0.0287483 | ||||||||
\(306\) | −2472.19 | − | 18.6871i | −0.461848 | − | 0.00349108i | ||||
\(307\) | 1493.35 | − | 2586.56i | 0.277622 | − | 0.480856i | −0.693171 | − | 0.720773i | \(-0.743787\pi\) |
0.970793 | + | 0.239917i | \(0.0771203\pi\) | |||||||
\(308\) | −1790.48 | − | 27.0699i | −0.331241 | − | 0.00500795i | ||||
\(309\) | −878.584 | + | 1521.75i | −0.161751 | + | 0.280160i | ||||
\(310\) | 142.222 | − | 242.091i | 0.0260569 | − | 0.0443543i | ||||
\(311\) | − | 7918.77i | − | 1.44383i | −0.691980 | − | 0.721917i | \(-0.743261\pi\) | ||
0.691980 | − | 0.721917i | \(-0.256739\pi\) | |||||||
\(312\) | −57.5143 | + | 2535.87i | −0.0104362 | + | 0.460146i | ||||
\(313\) | −1893.92 | − | 3280.37i | −0.342015 | − | 0.592388i | 0.642791 | − | 0.766041i | \(-0.277776\pi\) |
−0.984807 | + | 0.173653i | \(0.944443\pi\) | |||||||
\(314\) | −1903.87 | + | 3240.77i | −0.342170 | + | 0.582444i | ||||
\(315\) | − | 83.9684i | − | 0.0150193i | ||||||
\(316\) | −4289.10 | + | 7176.18i | −0.763547 | + | 1.27751i | ||||
\(317\) | −5247.03 | + | 3029.38i | −0.929662 | + | 0.536740i | −0.886705 | − | 0.462337i | \(-0.847011\pi\) |
−0.0429571 | + | 0.999077i | \(0.513678\pi\) | |||||||
\(318\) | −4.41019 | + | 583.440i | −0.000777708 | + | 0.102886i | ||||
\(319\) | 3974.57 | + | 6884.15i | 0.697596 | + | 1.20827i | ||||
\(320\) | 203.600 | − | 318.379i | 0.0355675 | − | 0.0556185i | ||||
\(321\) | 874.446 | − | 1514.59i | 0.152046 | − | 0.263352i | ||||
\(322\) | 535.899 | + | 944.623i | 0.0927469 | + | 0.163484i | ||||
\(323\) | −2654.16 | − | 1085.50i | −0.457218 | − | 0.186993i | ||||
\(324\) | −2421.07 | + | 4050.73i | −0.415135 | + | 0.694570i | ||||
\(325\) | 9119.09 | + | 5264.91i | 1.55642 | + | 0.898598i | ||||
\(326\) | 54.6568 | − | 7230.74i | 0.00928576 | − | 1.22845i | ||||
\(327\) | −85.6243 | + | 49.4352i | −0.0144802 | + | 0.00836016i | ||||
\(328\) | 4425.59 | + | 2690.72i | 0.745007 | + | 0.452958i | ||||
\(329\) | 650.118 | + | 1126.04i | 0.108943 | + | 0.188694i | ||||
\(330\) | 119.502 | − | 67.7953i | 0.0199344 | − | 0.0113091i | ||||
\(331\) | −3679.62 | −0.611027 | −0.305514 | − | 0.952188i | \(-0.598828\pi\) | ||||
−0.305514 | + | 0.952188i | \(0.598828\pi\) | |||||||
\(332\) | −87.5556 | + | 5791.20i | −0.0144736 | + | 0.957329i | ||||
\(333\) | −1730.02 | + | 998.829i | −0.284699 | + | 0.164371i | ||||
\(334\) | −668.504 | − | 1178.36i | −0.109518 | − | 0.193046i | ||||
\(335\) | −224.426 | −0.0366021 | ||||||||
\(336\) | −325.001 | − | 200.978i | −0.0527687 | − | 0.0326318i | ||||
\(337\) | 3642.41 | + | 2102.94i | 0.588767 | + | 0.339925i | 0.764610 | − | 0.644493i | \(-0.222932\pi\) |
−0.175843 | + | 0.984418i | \(0.556265\pi\) | |||||||
\(338\) | −7108.12 | + | 12099.5i | −1.14388 | + | 1.94712i | ||||
\(339\) | −902.167 | − | 520.866i | −0.144540 | − | 0.0834501i | ||||
\(340\) | −99.5380 | − | 178.586i | −0.0158771 | − | 0.0284859i | ||||
\(341\) | 6680.30i | 1.06088i | ||||||||
\(342\) | −4702.55 | + | 3585.41i | −0.743523 | + | 0.566891i | ||||
\(343\) | − | 2999.86i | − | 0.472237i | ||||||
\(344\) | −7928.28 | − | 4820.33i | −1.24263 | − | 0.755508i | ||||
\(345\) | −72.1648 | − | 41.6644i | −0.0112615 | − | 0.00650184i | ||||
\(346\) | −5518.71 | − | 3242.09i | −0.857479 | − | 0.503746i | ||||
\(347\) | −6827.50 | − | 3941.86i | −1.05625 | − | 0.609828i | −0.131859 | − | 0.991268i | \(-0.542095\pi\) |
−0.924393 | + | 0.381441i | \(0.875428\pi\) | |||||||
\(348\) | −25.6430 | + | 1696.11i | −0.00395003 | + | 0.261267i | ||||
\(349\) | −8924.22 | −1.36877 | −0.684387 | − | 0.729119i | \(-0.739930\pi\) | ||||
−0.684387 | + | 0.729119i | \(0.739930\pi\) | |||||||
\(350\) | −1379.73 | + | 782.743i | −0.210714 | + | 0.119541i | ||||
\(351\) | 5071.95 | − | 2928.29i | 0.771285 | − | 0.445301i | ||||
\(352\) | −339.740 | + | 8984.99i | −0.0514438 | + | 1.36052i | ||||
\(353\) | 2456.42 | 0.370375 | 0.185187 | − | 0.982703i | \(-0.440711\pi\) | ||||
0.185187 | + | 0.982703i | \(0.440711\pi\) | |||||||
\(354\) | −1258.87 | − | 2218.99i | −0.189005 | − | 0.333158i | ||||
\(355\) | −196.165 | − | 339.768i | −0.0293278 | − | 0.0507972i | ||||
\(356\) | −3096.34 | + | 1725.79i | −0.460971 | + | 0.256930i | ||||
\(357\) | −179.034 | + | 103.365i | −0.0265420 | + | 0.0153240i | ||||
\(358\) | −1000.19 | − | 7.56036i | −0.147658 | − | 0.00111614i | ||||
\(359\) | 9703.78 | + | 5602.48i | 1.42659 | + | 0.823642i | 0.996850 | − | 0.0793100i | \(-0.0252717\pi\) |
0.429740 | + | 0.902952i | \(0.358605\pi\) | |||||||
\(360\) | −421.514 | − | 9.56006i | −0.0617104 | − | 0.00139961i | ||||
\(361\) | −6609.13 | + | 1834.47i | −0.963571 | + | 0.267454i | ||||
\(362\) | 8465.06 | − | 4802.36i | 1.22904 | − | 0.697255i | ||||
\(363\) | −752.705 | + | 1303.72i | −0.108834 | + | 0.188506i | ||||
\(364\) | −1484.98 | − | 2664.28i | −0.213830 | − | 0.383644i | ||||
\(365\) | −15.0478 | − | 26.0635i | −0.00215791 | − | 0.00373761i | ||||
\(366\) | 777.445 | + | 5.87666i | 0.111032 | + | 0.000839284i | ||||
\(367\) | 1927.88 | − | 1113.06i | 0.274208 | − | 0.158314i | −0.356591 | − | 0.934261i | \(-0.616061\pi\) |
0.630798 | + | 0.775947i | \(0.282728\pi\) | |||||||
\(368\) | 4802.94 | − | 2582.62i | 0.680355 | − | 0.365838i | ||||
\(369\) | − | 5778.42i | − | 0.815210i | ||||||
\(370\) | −142.442 | − | 83.6810i | −0.0200141 | − | 0.0117578i | ||||
\(371\) | −350.804 | − | 607.610i | −0.0490912 | − | 0.0850285i | ||||
\(372\) | −731.351 | + | 1223.64i | −0.101932 | + | 0.170545i | ||||
\(373\) | − | 12573.6i | − | 1.74541i | −0.488250 | − | 0.872704i | \(-0.662364\pi\) | ||
0.488250 | − | 0.872704i | \(-0.337636\pi\) | |||||||
\(374\) | 4194.19 | + | 2463.97i | 0.579883 | + | 0.340666i | ||||
\(375\) | 121.978 | − | 211.271i | 0.0167971 | − | 0.0290934i | ||||
\(376\) | 5726.63 | − | 3135.33i | 0.785448 | − | 0.430033i | ||||
\(377\) | −6770.09 | + | 11726.1i | −0.924874 | + | 1.60193i | ||||
\(378\) | −6.66895 | + | 882.260i | −0.000907444 | + | 0.120049i | ||||
\(379\) | 2056.69 | 0.278747 | 0.139374 | − | 0.990240i | \(-0.455491\pi\) | ||||
0.139374 | + | 0.990240i | \(0.455491\pi\) | |||||||
\(380\) | −449.794 | − | 191.944i | −0.0607209 | − | 0.0259119i | ||||
\(381\) | −1464.42 | −0.196915 | ||||||||
\(382\) | 47.3534 | − | 6264.55i | 0.00634243 | − | 0.839064i | ||||
\(383\) | −4006.80 | + | 6939.98i | −0.534563 | + | 0.925891i | 0.464621 | + | 0.885510i | \(0.346191\pi\) |
−0.999184 | + | 0.0403812i | \(0.987143\pi\) | |||||||
\(384\) | −1045.90 | + | 1608.60i | −0.138993 | + | 0.213772i | ||||
\(385\) | −82.6079 | + | 143.081i | −0.0109353 | + | 0.0189405i | ||||
\(386\) | 6472.48 | + | 3802.41i | 0.853473 | + | 0.501392i | ||||
\(387\) | 10351.8i | 1.35972i | ||||||||
\(388\) | 5129.22 | + | 3065.66i | 0.671125 | + | 0.401122i | ||||
\(389\) | −2349.43 | − | 4069.33i | −0.306223 | − | 0.530394i | 0.671310 | − | 0.741177i | \(-0.265732\pi\) |
−0.977533 | + | 0.210783i | \(0.932399\pi\) | |||||||
\(390\) | 201.785 | + | 118.543i | 0.0261994 | + | 0.0153915i | ||||
\(391\) | − | 2950.25i | − | 0.381587i | ||||||
\(392\) | −7299.82 | − | 165.562i | −0.940553 | − | 0.0213320i | ||||
\(393\) | 1397.45 | − | 806.816i | 0.179369 | − | 0.103559i | ||||
\(394\) | −5848.17 | − | 44.2060i | −0.747784 | − | 0.00565245i | ||||
\(395\) | 385.675 | + | 668.008i | 0.0491276 | + | 0.0850915i | ||||
\(396\) | 8762.25 | − | 4883.79i | 1.11192 | − | 0.619746i | ||||
\(397\) | 2830.35 | − | 4902.32i | 0.357812 | − | 0.619749i | −0.629783 | − | 0.776771i | \(-0.716856\pi\) |
0.987595 | + | 0.157022i | \(0.0501895\pi\) | |||||||
\(398\) | 7637.61 | − | 4332.94i | 0.961907 | − | 0.545705i | ||||
\(399\) | −187.185 | + | 457.688i | −0.0234862 | + | 0.0574262i | ||||
\(400\) | 3772.22 | + | 7015.25i | 0.471527 | + | 0.876906i | ||||
\(401\) | 1563.86 | + | 902.893i | 0.194751 | + | 0.112440i | 0.594205 | − | 0.804314i | \(-0.297467\pi\) |
−0.399454 | + | 0.916753i | \(0.630800\pi\) | |||||||
\(402\) | 1139.41 | + | 8.61275i | 0.141365 | + | 0.00106857i | ||||
\(403\) | −9854.42 | + | 5689.45i | −1.21807 | + | 0.703255i | ||||
\(404\) | −5039.39 | − | 9041.43i | −0.620591 | − | 1.11344i | ||||
\(405\) | 217.702 | + | 377.070i | 0.0267103 | + | 0.0462636i | ||||
\(406\) | −1006.52 | − | 1774.18i | −0.123037 | − | 0.216875i | ||||
\(407\) | 3930.58 | 0.478702 | ||||||||
\(408\) | 498.501 | + | 910.503i | 0.0604889 | + | 0.110482i | ||||
\(409\) | −2607.64 | + | 1505.52i | −0.315256 | + | 0.182013i | −0.649276 | − | 0.760553i | \(-0.724928\pi\) |
0.334020 | + | 0.942566i | \(0.391595\pi\) | |||||||
\(410\) | 415.640 | − | 235.799i | 0.0500659 | − | 0.0284031i | ||||
\(411\) | 1874.96 | 0.225024 | ||||||||
\(412\) | −10608.6 | − | 160.389i | −1.26856 | − | 0.0191791i | ||||
\(413\) | 2656.82 | + | 1533.91i | 0.316546 | + | 0.182758i | ||||
\(414\) | −5245.76 | − | 3081.74i | −0.622741 | − | 0.365844i | ||||
\(415\) | 462.786 | + | 267.189i | 0.0547404 | + | 0.0316044i | ||||
\(416\) | −13543.5 | + | 7151.14i | −1.59622 | + | 0.842821i | ||||
\(417\) | − | 3569.34i | − | 0.419163i | ||||||
\(418\) | 11540.4 | − | 1483.14i | 1.35038 | − | 0.173547i | ||||
\(419\) | − | 7760.36i | − | 0.904817i | −0.891811 | − | 0.452408i | \(-0.850565\pi\) | ||
0.891811 | − | 0.452408i | \(-0.149435\pi\) | |||||||
\(420\) | −30.7957 | + | 17.1645i | −0.00357780 | + | 0.00199415i | ||||
\(421\) | 5746.84 | + | 3317.94i | 0.665282 | + | 0.384101i | 0.794287 | − | 0.607543i | \(-0.207845\pi\) |
−0.129005 | + | 0.991644i | \(0.541178\pi\) | |||||||
\(422\) | 7967.85 | − | 13562.9i | 0.919121 | − | 1.56453i | ||||
\(423\) | −6308.02 | − | 3641.94i | −0.725075 | − | 0.418622i | ||||
\(424\) | −3090.09 | + | 1691.83i | −0.353934 | + | 0.193779i | ||||
\(425\) | 4309.18 | 0.491825 | ||||||||
\(426\) | 982.891 | + | 1732.53i | 0.111787 | + | 0.197046i | ||||
\(427\) | −809.652 | + | 467.453i | −0.0917607 | + | 0.0529781i | ||||
\(428\) | 10558.6 | + | 159.633i | 1.19245 | + | 0.0180284i | ||||
\(429\) | −5568.10 | −0.626644 | ||||||||
\(430\) | −744.604 | + | 422.425i | −0.0835069 | + | 0.0473748i | ||||
\(431\) | 6953.65 | + | 12044.1i | 0.777136 | + | 1.34604i | 0.933586 | + | 0.358353i | \(0.116662\pi\) |
−0.156450 | + | 0.987686i | \(0.550005\pi\) | |||||||
\(432\) | 4428.11 | + | 133.926i | 0.493166 | + | 0.0149155i | ||||
\(433\) | −2510.54 | + | 1449.46i | −0.278635 | + | 0.160870i | −0.632805 | − | 0.774311i | \(-0.718097\pi\) |
0.354170 | + | 0.935181i | \(0.384763\pi\) | |||||||
\(434\) | 12.9573 | − | 1714.16i | 0.00143311 | − | 0.189591i | ||||
\(435\) | 135.539 | + | 78.2536i | 0.0149393 | + | 0.00862523i | ||||
\(436\) | −512.429 | − | 306.272i | −0.0562864 | − | 0.0336416i | ||||
\(437\) | −4320.92 | − | 5579.25i | −0.472992 | − | 0.610736i | ||||
\(438\) | 75.3973 | + | 132.902i | 0.00822517 | + | 0.0144984i | ||||
\(439\) | 429.671 | − | 744.212i | 0.0467132 | − | 0.0809096i | −0.841723 | − | 0.539909i | \(-0.818459\pi\) |
0.888437 | + | 0.458999i | \(0.151792\pi\) | |||||||
\(440\) | 708.849 | + | 430.975i | 0.0768024 | + | 0.0466952i | ||||
\(441\) | 4073.11 | + | 7054.84i | 0.439813 | + | 0.761779i | ||||
\(442\) | −62.6300 | + | 8285.55i | −0.00673983 | + | 0.891637i | ||||
\(443\) | −8117.63 | + | 4686.71i | −0.870610 | + | 0.502647i | −0.867551 | − | 0.497349i | \(-0.834307\pi\) |
−0.00305877 | + | 0.999995i | \(0.500974\pi\) | |||||||
\(444\) | 719.968 | + | 430.315i | 0.0769554 | + | 0.0459952i | ||||
\(445\) | 327.058i | 0.0348405i | ||||||||
\(446\) | 4071.11 | − | 6929.86i | 0.432225 | − | 0.735736i | ||||
\(447\) | 783.791 | + | 1357.57i | 0.0829352 | + | 0.143648i | ||||
\(448\) | 104.605 | − | 2304.89i | 0.0110315 | − | 0.243071i | ||||
\(449\) | 46.9376i | 0.00493346i | 0.999997 | + | 0.00246673i | \(0.000785185\pi\) | ||||
−0.999997 | + | 0.00246673i | \(0.999215\pi\) | |||||||
\(450\) | 4501.24 | − | 7662.03i | 0.471534 | − | 0.802648i | ||||
\(451\) | −5684.79 | + | 9846.35i | −0.593540 | + | 1.02804i | ||||
\(452\) | 95.0859 | − | 6289.27i | 0.00989483 | − | 0.654475i | ||||
\(453\) | −1056.47 | + | 1829.87i | −0.109575 | + | 0.189790i | ||||
\(454\) | −19084.8 | − | 144.261i | −1.97289 | − | 0.0149130i | ||||
\(455\) | −281.421 | −0.0289961 | ||||||||
\(456\) | 2276.24 | + | 991.762i | 0.233760 | + | 0.101850i | ||||
\(457\) | −16206.4 | −1.65887 | −0.829437 | − | 0.558600i | \(-0.811339\pi\) | ||||
−0.829437 | + | 0.558600i | \(0.811339\pi\) | |||||||
\(458\) | 16460.7 | + | 124.426i | 1.67939 | + | 0.0126944i | ||||
\(459\) | 1198.36 | − | 2075.63i | 0.121862 | − | 0.211072i | ||||
\(460\) | 7.60597 | − | 503.082i | 0.000770935 | − | 0.0509920i | ||||
\(461\) | 1337.04 | − | 2315.82i | 0.135080 | − | 0.233966i | −0.790548 | − | 0.612400i | \(-0.790204\pi\) |
0.925628 | + | 0.378434i | \(0.123537\pi\) | |||||||
\(462\) | 424.891 | − | 723.253i | 0.0427873 | − | 0.0728328i | ||||
\(463\) | − | 3894.57i | − | 0.390920i | −0.980712 | − | 0.195460i | \(-0.937380\pi\) | ||
0.980712 | − | 0.195460i | \(-0.0626201\pi\) | |||||||
\(464\) | −9020.84 | + | 4850.65i | −0.902547 | + | 0.485315i | ||||
\(465\) | 65.7628 | + | 113.905i | 0.00655845 | + | 0.0113596i | ||||
\(466\) | 6843.75 | − | 11649.5i | 0.680323 | − | 1.15805i | ||||
\(467\) | 5247.43i | 0.519962i | 0.965614 | + | 0.259981i | \(0.0837162\pi\) | ||||
−0.965614 | + | 0.259981i | \(0.916284\pi\) | |||||||
\(468\) | 14666.9 | + | 8766.21i | 1.44867 | + | 0.865850i | ||||
\(469\) | −1186.61 | + | 685.092i | −0.116829 | + | 0.0674512i | ||||
\(470\) | 4.55313 | − | 602.350i | 0.000446852 | − | 0.0591156i | ||||
\(471\) | −880.341 | − | 1524.80i | −0.0861231 | − | 0.149170i | ||||
\(472\) | 8002.61 | − | 13162.4i | 0.780402 | − | 1.28357i | ||||
\(473\) | 10184.1 | − | 17639.4i | 0.989989 | − | 1.71471i | ||||
\(474\) | −1932.44 | − | 3406.28i | −0.187257 | − | 0.330075i | ||||
\(475\) | 8149.14 | − | 6311.20i | 0.787175 | − | 0.609637i | ||||
\(476\) | −1071.45 | − | 640.391i | −0.103172 | − | 0.0616644i | ||||
\(477\) | 3403.81 | + | 1965.19i | 0.326729 | + | 0.188637i | ||||
\(478\) | 47.0508 | − | 6224.52i | 0.00450220 | − | 0.595613i | ||||
\(479\) | −5030.07 | + | 2904.11i | −0.479812 | + | 0.277020i | −0.720338 | − | 0.693623i | \(-0.756013\pi\) |
0.240526 | + | 0.970643i | \(0.422680\pi\) | |||||||
\(480\) | 82.6581 | + | 156.546i | 0.00786001 | + | 0.0148861i | ||||
\(481\) | 3347.58 | + | 5798.18i | 0.317332 | + | 0.549635i | ||||
\(482\) | −6441.82 | + | 3654.54i | −0.608749 | + | 0.345353i | ||||
\(483\) | −508.745 | −0.0479269 | ||||||||
\(484\) | −9088.64 | − | 137.409i | −0.853553 | − | 0.0129047i | ||||
\(485\) | 477.463 | − | 275.663i | 0.0447020 | − | 0.0258087i | ||||
\(486\) | −3699.23 | − | 6520.60i | −0.345269 | − | 0.608601i | ||||
\(487\) | 14400.7 | 1.33995 | 0.669976 | − | 0.742383i | \(-0.266304\pi\) | ||||
0.669976 | + | 0.742383i | \(0.266304\pi\) | |||||||
\(488\) | 2254.39 | + | 4117.61i | 0.209122 | + | 0.381957i | ||||
\(489\) | 2933.44 | + | 1693.62i | 0.271278 | + | 0.156622i | ||||
\(490\) | −341.242 | + | 580.864i | −0.0314607 | + | 0.0535525i | ||||
\(491\) | −13775.5 | − | 7953.26i | −1.26615 | − | 0.731010i | −0.291890 | − | 0.956452i | \(-0.594284\pi\) |
−0.974257 | + | 0.225442i | \(0.927617\pi\) | |||||||
\(492\) | −2119.25 | + | 1181.20i | −0.194194 | + | 0.108237i | ||||
\(493\) | 5541.13i | 0.506207i | ||||||||
\(494\) | 12016.5 | + | 15760.6i | 1.09443 | + | 1.43544i | ||||
\(495\) | − | 925.533i | − | 0.0840396i | ||||||
\(496\) | −8603.48 | − | 260.207i | −0.778846 | − | 0.0235557i | ||||
\(497\) | −2074.38 | − | 1197.64i | −0.187221 | − | 0.108092i | ||||
\(498\) | −2339.31 | − | 1374.28i | −0.210496 | − | 0.123661i | ||||
\(499\) | 11104.9 | + | 6411.43i | 0.996241 | + | 0.575180i | 0.907134 | − | 0.420842i | \(-0.138265\pi\) |
0.0891072 | + | 0.996022i | \(0.471599\pi\) | |||||||
\(500\) | 1472.84 | + | 22.2674i | 0.131734 | + | 0.00199166i | ||||
\(501\) | 634.631 | 0.0565933 | ||||||||
\(502\) | 5753.21 | − | 3263.88i | 0.511510 | − | 0.290188i | ||||
\(503\) | −3741.55 | + | 2160.18i | −0.331665 | + | 0.191487i | −0.656580 | − | 0.754256i | \(-0.727998\pi\) |
0.324915 | + | 0.945743i | \(0.394664\pi\) | |||||||
\(504\) | −2257.87 | + | 1236.18i | −0.199550 | + | 0.109254i | ||||
\(505\) | −955.021 | −0.0841542 | ||||||||
\(506\) | 5906.89 | + | 10412.0i | 0.518959 | + | 0.914763i | ||||
\(507\) | −3286.77 | − | 5692.85i | −0.287911 | − | 0.498676i | ||||
\(508\) | −4304.83 | − | 7723.52i | −0.375976 | − | 0.674558i | ||||
\(509\) | 5473.70 | − | 3160.24i | 0.476655 | − | 0.275197i | −0.242367 | − | 0.970185i | \(-0.577924\pi\) |
0.719021 | + | 0.694988i | \(0.244590\pi\) | |||||||
\(510\) | 95.7704 | + | 0.723923i | 0.00831527 | + | 6.28546e-5i | ||||
\(511\) | −159.125 | − | 91.8709i | −0.0137755 | − | 0.00795329i | ||||
\(512\) | −11558.4 | − | 787.526i | −0.997687 | − | 0.0679767i | ||||
\(513\) | −773.711 | − | 5680.36i | −0.0665890 | − | 0.488877i | ||||
\(514\) | 2470.79 | − | 1401.72i | 0.212027 | − | 0.120286i | ||||
\(515\) | −489.450 | + | 847.753i | −0.0418791 | + | 0.0725368i | ||||
\(516\) | 3796.57 | − | 2116.08i | 0.323904 | − | 0.180533i | ||||
\(517\) | 7165.86 | + | 12411.6i | 0.609582 | + | 1.05583i | ||||
\(518\) | −1008.59 | − | 7.62385i | −0.0855498 | − | 0.000646666i | ||||
\(519\) | 2596.57 | − | 1499.13i | 0.219609 | − | 0.126791i | ||||
\(520\) | −32.0406 | + | 1412.71i | −0.00270206 | + | 0.119137i | ||||
\(521\) | − | 8771.99i | − | 0.737635i | −0.929502 | − | 0.368818i | \(-0.879763\pi\) | ||
0.929502 | − | 0.368818i | \(-0.120237\pi\) | |||||||
\(522\) | 9852.54 | + | 5788.10i | 0.826118 | + | 0.485322i | ||||
\(523\) | 276.125 | + | 478.262i | 0.0230862 | + | 0.0399865i | 0.877338 | − | 0.479873i | \(-0.159317\pi\) |
−0.854251 | + | 0.519860i | \(0.825984\pi\) | |||||||
\(524\) | 8363.19 | + | 4998.56i | 0.697228 | + | 0.416724i | ||||
\(525\) | − | 743.081i | − | 0.0617728i | ||||||
\(526\) | 5196.19 | + | 3052.62i | 0.430732 | + | 0.253043i | ||||
\(527\) | −2328.33 | + | 4032.78i | −0.192455 | + | 0.333341i | ||||
\(528\) | −3582.29 | − | 2215.26i | −0.295264 | − | 0.182589i | ||||
\(529\) | −2453.35 | + | 4249.33i | −0.201640 | + | 0.349251i | ||||
\(530\) | −2.45687 | + | 325.028i | −0.000201358 | + | 0.0266384i | ||||
\(531\) | −17185.9 | −1.40453 | ||||||||
\(532\) | −2964.15 | + | 358.189i | −0.241564 | + | 0.0291907i | ||||
\(533\) | −19366.4 | −1.57383 | ||||||||
\(534\) | 12.5514 | − | 1660.47i | 0.00101714 | − | 0.134561i | ||||
\(535\) | 487.145 | − | 843.760i | 0.0393666 | − | 0.0681849i | ||||
\(536\) | 3304.00 | + | 6034.70i | 0.266252 | + | 0.486305i | ||||
\(537\) | 234.269 | − | 405.766i | 0.0188258 | − | 0.0326073i | ||||
\(538\) | −19271.6 | − | 11321.5i | −1.54434 | − | 0.907260i | ||||
\(539\) | − | 16028.5i | − | 1.28088i | ||||||
\(540\) | 209.698 | − | 350.850i | 0.0167111 | − | 0.0279596i | ||||
\(541\) | −3031.52 | − | 5250.75i | −0.240915 | − | 0.417278i | 0.720060 | − | 0.693912i | \(-0.244114\pi\) |
−0.960975 | + | 0.276634i | \(0.910781\pi\) | |||||||
\(542\) | 7119.78 | + | 4182.68i | 0.564245 | + | 0.331479i | ||||
\(543\) | 4559.02i | 0.360307i | ||||||||
\(544\) | −3336.69 | + | 5305.67i | −0.262977 | + | 0.418160i | ||||
\(545\) | −47.7004 | + | 27.5398i | −0.00374910 | + | 0.00216455i | ||||
\(546\) | 1428.77 | + | 10.8000i | 0.111989 | + | 0.000846517i | ||||
\(547\) | −4722.69 | − | 8179.93i | −0.369154 | − | 0.639394i | 0.620279 | − | 0.784381i | \(-0.287019\pi\) |
−0.989434 | + | 0.144987i | \(0.953686\pi\) | |||||||
\(548\) | 5511.66 | + | 9888.76i | 0.429647 | + | 0.770852i | ||||
\(549\) | 2618.65 | − | 4535.64i | 0.203573 | − | 0.352598i | ||||
\(550\) | −15207.9 | + | 8627.70i | −1.17903 | + | 0.668884i | ||||
\(551\) | 8115.51 | + | 10478.9i | 0.627463 | + | 0.810193i | ||||
\(552\) | −57.9222 | + | 2553.86i | −0.00446618 | + | 0.196919i | ||||
\(553\) | 4078.38 | + | 2354.65i | 0.313617 | + | 0.181067i | ||||
\(554\) | −20783.3 | − | 157.100i | −1.59386 | − | 0.0120479i | ||||
\(555\) | 67.0196 | − | 38.6938i | 0.00512581 | − | 0.00295939i | ||||
\(556\) | 18825.1 | − | 10492.5i | 1.43590 | − | 0.800323i | ||||
\(557\) | 676.733 | + | 1172.14i | 0.0514795 | + | 0.0891651i | 0.890617 | − | 0.454754i | \(-0.150273\pi\) |
−0.839137 | + | 0.543920i | \(0.816940\pi\) | |||||||
\(558\) | 4738.48 | + | 8352.46i | 0.359491 | + | 0.633670i | ||||
\(559\) | 34694.2 | 2.62506 | ||||||||
\(560\) | −181.055 | − | 111.963i | −0.0136624 | − | 0.00844875i | ||||
\(561\) | −1973.38 | + | 1139.33i | −0.148514 | + | 0.0857445i | ||||
\(562\) | −22309.0 | + | 12656.2i | −1.67446 | + | 0.949948i | ||||
\(563\) | 2068.92 | 0.154875 | 0.0774373 | − | 0.996997i | \(-0.475326\pi\) | ||||
0.0774373 | + | 0.996997i | \(0.475326\pi\) | |||||||
\(564\) | −46.2325 | + | 3057.96i | −0.00345167 | + | 0.228304i | ||||
\(565\) | −502.588 | − | 290.169i | −0.0374231 | − | 0.0216062i | ||||
\(566\) | −3843.91 | − | 2258.20i | −0.285463 | − | 0.167702i | ||||
\(567\) | 2302.12 | + | 1329.13i | 0.170511 | + | 0.0984448i | ||||
\(568\) | −6248.24 | + | 10276.8i | −0.461567 | + | 0.759167i | ||||
\(569\) | 18706.6i | 1.37824i | 0.724646 | + | 0.689121i | \(0.242003\pi\) | ||||
−0.724646 | + | 0.689121i | \(0.757997\pi\) | |||||||
\(570\) | 182.173 | − | 138.896i | 0.0133866 | − | 0.0102065i | ||||
\(571\) | − | 14720.6i | − | 1.07887i | −0.842027 | − | 0.539436i | \(-0.818637\pi\) | ||
0.842027 | − | 0.539436i | \(-0.181363\pi\) | |||||||
\(572\) | −16368.0 | − | 29366.8i | −1.19647 | − | 2.14665i | ||||
\(573\) | 2541.47 | + | 1467.32i | 0.185290 | + | 0.106977i | ||||
\(574\) | 1477.82 | − | 2515.55i | 0.107461 | − | 0.182921i | ||||
\(575\) | 9183.76 | + | 5302.25i | 0.666069 | + | 0.384555i | ||||
\(576\) | 5948.47 | + | 11475.0i | 0.430300 | + | 0.830081i | ||||
\(577\) | 4484.35 | 0.323546 | 0.161773 | − | 0.986828i | \(-0.448279\pi\) | ||||
0.161773 | + | 0.986828i | \(0.448279\pi\) | |||||||
\(578\) | −5183.69 | − | 9137.23i | −0.373033 | − | 0.657541i | ||||
\(579\) | −3045.33 | + | 1758.22i | −0.218583 | + | 0.126199i | ||||
\(580\) | −14.2855 | + | 944.884i | −0.00102271 | + | 0.0676452i | ||||
\(581\) | 3262.53 | 0.232965 | ||||||||
\(582\) | −2434.66 | + | 1381.22i | −0.173402 | + | 0.0983736i | ||||
\(583\) | −3866.70 | − | 6697.32i | −0.274687 | − | 0.475771i | ||||
\(584\) | −479.301 | + | 788.334i | −0.0339617 | + | 0.0558587i | ||||
\(585\) | 1365.30 | − | 788.254i | 0.0964924 | − | 0.0557099i | ||||
\(586\) | −52.6383 | + | 6963.72i | −0.00371070 | + | 0.490902i | ||||
\(587\) | −15532.6 | − | 8967.77i | −1.09216 | − | 0.630561i | −0.158013 | − | 0.987437i | \(-0.550509\pi\) |
−0.934152 | + | 0.356876i | \(0.883842\pi\) | |||||||
\(588\) | 1754.78 | − | 2935.95i | 0.123071 | − | 0.205912i | ||||
\(589\) | 1503.26 | + | 11036.5i | 0.105163 | + | 0.772073i | ||||
\(590\) | −701.301 | − | 1236.17i | −0.0489358 | − | 0.0862585i | ||||
\(591\) | 1369.79 | − | 2372.55i | 0.0953395 | − | 0.165133i | ||||
\(592\) | −153.102 | + | 5062.15i | −0.0106291 | + | 0.351441i | ||||
\(593\) | −3606.72 | − | 6247.02i | −0.249764 | − | 0.432604i | 0.713696 | − | 0.700456i | \(-0.247020\pi\) |
−0.963460 | + | 0.267851i | \(0.913686\pi\) | |||||||
\(594\) | −73.5078 | + | 9724.62i | −0.00507755 | + | 0.671727i | ||||
\(595\) | −99.7380 | + | 57.5837i | −0.00687203 | + | 0.00396757i | ||||
\(596\) | −4855.91 | + | 8124.52i | −0.333735 | + | 0.558378i | ||||
\(597\) | 4113.39i | 0.281993i | ||||||||
\(598\) | −10328.5 | + | 17581.2i | −0.706293 | + | 1.20226i | ||||
\(599\) | −2459.33 | − | 4259.69i | −0.167756 | − | 0.290561i | 0.769875 | − | 0.638195i | \(-0.220319\pi\) |
−0.937630 | + | 0.347634i | \(0.886985\pi\) | |||||||
\(600\) | −3730.20 | − | 84.6020i | −0.253808 | − | 0.00575644i | ||||
\(601\) | − | 14459.6i | − | 0.981396i | −0.871330 | − | 0.490698i | \(-0.836742\pi\) | ||
0.871330 | − | 0.490698i | \(-0.163258\pi\) | |||||||
\(602\) | −2647.45 | + | 4506.51i | −0.179239 | + | 0.305102i | ||||
\(603\) | 3837.86 | − | 6647.37i | 0.259187 | − | 0.448925i | ||||
\(604\) | −12756.5 | − | 192.863i | −0.859365 | − | 0.0129925i | ||||
\(605\) | −419.324 | + | 726.291i | −0.0281784 | + | 0.0488065i | ||||
\(606\) | 4848.64 | + | 36.6506i | 0.325021 | + | 0.00245681i | ||||
\(607\) | −8377.56 | −0.560189 | −0.280094 | − | 0.959972i | \(-0.590366\pi\) | ||||
−0.280094 | + | 0.959972i | \(0.590366\pi\) | |||||||
\(608\) | 1460.60 | + | 14920.5i | 0.0974262 | + | 0.995243i | ||||
\(609\) | 955.521 | 0.0635791 | ||||||||
\(610\) | 433.107 | + | 3.27383i | 0.0287475 | + | 0.000217301i | ||||
\(611\) | −12206.0 | + | 21141.4i | −0.808185 | + | 1.39982i | ||||
\(612\) | 6991.80 | + | 105.707i | 0.461808 | + | 0.00698196i | ||||
\(613\) | −8563.84 | + | 14833.0i | −0.564258 | + | 0.977324i | 0.432860 | + | 0.901461i | \(0.357504\pi\) |
−0.997118 | + | 0.0758627i | \(0.975829\pi\) | |||||||
\(614\) | −4279.01 | + | 7283.76i | −0.281249 | + | 0.478744i | ||||
\(615\) | 223.851i | 0.0146773i | ||||||||
\(616\) | 5063.53 | + | 114.842i | 0.331194 | + | 0.00751157i | ||||
\(617\) | −7713.07 | − | 13359.4i | −0.503268 | − | 0.871687i | −0.999993 | − | 0.00377819i | \(-0.998797\pi\) |
0.496724 | − | 0.867908i | \(-0.334536\pi\) | |||||||
\(618\) | 2517.47 | − | 4285.26i | 0.163864 | − | 0.278930i | ||||
\(619\) | − | 19584.9i | − | 1.27170i | −0.771812 | − | 0.635851i | \(-0.780649\pi\) | ||
0.771812 | − | 0.635851i | \(-0.219351\pi\) | |||||||
\(620\) | −407.428 | + | 681.675i | −0.0263915 | + | 0.0441560i | ||||
\(621\) | 5107.93 | − | 2949.06i | 0.330071 | − | 0.190567i | ||||
\(622\) | −169.298 | + | 22397.0i | −0.0109135 | + | 1.44379i | ||||
\(623\) | 998.390 | + | 1729.26i | 0.0642049 | + | 0.111206i | ||||
\(624\) | 216.885 | − | 7171.09i | 0.0139140 | − | 0.460054i | ||||
\(625\) | −7710.50 | + | 13355.0i | −0.493472 | + | 0.854718i | ||||
\(626\) | 5286.54 | + | 9318.51i | 0.337528 | + | 0.594956i | ||||
\(627\) | −2063.23 | + | 5044.81i | −0.131415 | + | 0.321324i | ||||
\(628\) | 5454.08 | − | 9125.32i | 0.346563 | − | 0.579841i | ||||
\(629\) | 2372.82 | + | 1369.95i | 0.150414 | + | 0.0868419i | ||||
\(630\) | −1.79519 | + | 237.492i | −0.000113527 | + | 0.0150189i | ||||
\(631\) | 10570.1 | − | 6102.64i | 0.666859 | − | 0.385011i | −0.128026 | − | 0.991771i | \(-0.540864\pi\) |
0.794885 | + | 0.606759i | \(0.207531\pi\) | |||||||
\(632\) | 12284.5 | − | 20205.0i | 0.773182 | − | 1.27170i | ||||
\(633\) | 3684.31 | + | 6381.41i | 0.231340 | + | 0.400692i | ||||
\(634\) | 14905.2 | − | 8455.95i | 0.933692 | − | 0.529698i | ||||
\(635\) | −815.814 | −0.0509836 | ||||||||
\(636\) | 24.9471 | − | 1650.08i | 0.00155537 | − | 0.102877i | ||||
\(637\) | 23644.3 | − | 13651.1i | 1.47068 | − | 0.849097i | ||||
\(638\) | −11094.3 | − | 19555.7i | −0.688443 | − | 1.21351i | ||||
\(639\) | 13418.3 | 0.830704 | ||||||||
\(640\) | −582.658 | + | 896.132i | −0.0359869 | + | 0.0553480i | ||||
\(641\) | −4287.55 | − | 2475.42i | −0.264194 | − | 0.152532i | 0.362052 | − | 0.932158i | \(-0.382076\pi\) |
−0.626246 | + | 0.779626i | \(0.715409\pi\) | |||||||
\(642\) | −2505.62 | + | 4265.08i | −0.154032 | + | 0.262195i | ||||
\(643\) | 8459.97 | + | 4884.37i | 0.518863 | + | 0.299566i | 0.736469 | − | 0.676471i | \(-0.236492\pi\) |
−0.217606 | + | 0.976037i | \(0.569825\pi\) | |||||||
\(644\) | −1495.51 | − | 2683.18i | −0.0915085 | − | 0.164180i | ||||
\(645\) | − | 401.021i | − | 0.0244809i | ||||||
\(646\) | 7483.67 | + | 3126.91i | 0.455791 | + | 0.190444i | ||||
\(647\) | − | 32532.7i | − | 1.97681i | −0.151857 | − | 0.988403i | \(-0.548525\pi\) | ||
0.151857 | − | 0.988403i | \(-0.451475\pi\) | |||||||
\(648\) | 6934.22 | − | 11405.1i | 0.420373 | − | 0.691413i | ||||
\(649\) | 29284.5 | + | 16907.4i | 1.77121 | + | 1.02261i | ||||
\(650\) | −25679.4 | − | 15085.9i | −1.54958 | − | 0.910337i | ||||
\(651\) | 695.419 | + | 401.501i | 0.0418673 | + | 0.0241721i | ||||
\(652\) | −309.176 | + | 20449.9i | −0.0185710 | + | 1.22834i | ||||
\(653\) | −9833.60 | −0.589308 | −0.294654 | − | 0.955604i | \(-0.595204\pi\) | ||||
−0.294654 | + | 0.955604i | \(0.595204\pi\) | |||||||
\(654\) | 243.232 | − | 137.989i | 0.0145430 | − | 0.00825047i | ||||
\(655\) | 778.503 | − | 449.469i | 0.0464407 | − | 0.0268125i | ||||
\(656\) | −12459.6 | − | 7704.91i | −0.741562 | − | 0.458577i | ||||
\(657\) | 1029.31 | 0.0611224 | ||||||||
\(658\) | −1814.69 | − | 3198.72i | −0.107513 | − | 0.189513i | ||||
\(659\) | 5862.03 | + | 10153.3i | 0.346513 | + | 0.600179i | 0.985628 | − | 0.168933i | \(-0.0540322\pi\) |
−0.639114 | + | 0.769112i | \(0.720699\pi\) | |||||||
\(660\) | −339.442 | + | 189.194i | −0.0200194 | + | 0.0111581i | ||||
\(661\) | 14126.4 | − | 8155.87i | 0.831245 | − | 0.479919i | −0.0230339 | − | 0.999735i | \(-0.507333\pi\) |
0.854279 | + | 0.519815i | \(0.173999\pi\) | |||||||
\(662\) | 10407.2 | + | 78.6676i | 0.611010 | + | 0.00461859i | ||||
\(663\) | −3361.37 | − | 1940.69i | −0.196900 | − | 0.113680i | ||||
\(664\) | 371.449 | − | 16377.6i | 0.0217094 | − | 0.957192i | ||||
\(665\) | −104.279 | + | 254.973i | −0.00608085 | + | 0.0148683i | ||||
\(666\) | 4914.46 | − | 2788.05i | 0.285933 | − | 0.162214i | ||||
\(667\) | −6818.11 | + | 11809.3i | −0.395800 | + | 0.685545i | ||||
\(668\) | 1865.57 | + | 3347.11i | 0.108055 | + | 0.193868i | ||||
\(669\) | 1882.46 | + | 3260.52i | 0.108790 | + | 0.188429i | ||||
\(670\) | 634.755 | + | 4.79807i | 0.0366011 | + | 0.000276665i | ||||
\(671\) | −8924.31 | + | 5152.45i | −0.513441 | + | 0.296435i | ||||
\(672\) | 914.919 | + | 575.385i | 0.0525205 | + | 0.0330297i | ||||
\(673\) | − | 17591.1i | − | 1.00756i | −0.863833 | − | 0.503779i | \(-0.831943\pi\) | ||
0.863833 | − | 0.503779i | \(-0.168057\pi\) | |||||||
\(674\) | −10257.0 | − | 6025.73i | −0.586181 | − | 0.344366i | ||||
\(675\) | 4307.45 | + | 7460.72i | 0.245620 | + | 0.425427i | ||||
\(676\) | 20362.9 | − | 34069.6i | 1.15856 | − | 1.93841i | ||||
\(677\) | − | 26882.4i | − | 1.52611i | −0.646334 | − | 0.763054i | \(-0.723699\pi\) | ||
0.646334 | − | 0.763054i | \(-0.276301\pi\) | |||||||
\(678\) | 2540.50 | + | 1492.48i | 0.143905 | + | 0.0845402i | ||||
\(679\) | 1683.00 | − | 2915.05i | 0.0951219 | − | 0.164756i | ||||
\(680\) | 277.710 | + | 507.232i | 0.0156613 | + | 0.0286051i | ||||
\(681\) | 4470.13 | − | 7742.50i | 0.251536 | − | 0.435673i | ||||
\(682\) | 142.820 | − | 18894.2i | 0.00801886 | − | 1.06084i | ||||
\(683\) | −21470.3 | −1.20284 | −0.601418 | − | 0.798935i | \(-0.705397\pi\) | ||||
−0.601418 | + | 0.798935i | \(0.705397\pi\) | |||||||
\(684\) | 13377.1 | − | 10040.3i | 0.747787 | − | 0.561255i | ||||
\(685\) | 1044.52 | 0.0582615 | ||||||||
\(686\) | −64.1349 | + | 8484.64i | −0.00356951 | + | 0.472223i | ||||
\(687\) | −3855.52 | + | 6677.96i | −0.214115 | + | 0.370859i | ||||
\(688\) | 22320.9 | + | 13803.1i | 1.23688 | + | 0.764879i | ||||
\(689\) | 6586.35 | − | 11407.9i | 0.364180 | − | 0.630778i | ||||
\(690\) | 203.216 | + | 119.384i | 0.0112120 | + | 0.00658677i | ||||
\(691\) | 50.1397i | 0.00276035i | 0.999999 | + | 0.00138018i | \(0.000439324\pi\) | ||||
−0.999999 | + | 0.00138018i | \(0.999561\pi\) | |||||||
\(692\) | 15539.5 | + | 9287.75i | 0.853647 | + | 0.510213i | ||||
\(693\) | −2825.32 | − | 4893.60i | −0.154870 | − | 0.268243i | ||||
\(694\) | 19226.3 | + | 11294.9i | 1.05161 | + | 0.617794i | ||||
\(695\) | − | 1988.44i | − | 0.108526i | ||||||
\(696\) | 108.789 | − | 4796.63i | 0.00592476 | − | 0.261230i | ||||
\(697\) | −6863.62 | + | 3962.71i | −0.372996 | + | 0.215349i | ||||
\(698\) | 25240.8 | + | 190.794i | 1.36874 | + | 0.0103462i | ||||
\(699\) | 3164.53 | + | 5481.12i | 0.171235 | + | 0.296588i | ||||
\(700\) | 3919.09 | − | 2184.37i | 0.211611 | − | 0.117945i | ||||
\(701\) | −11382.0 | + | 19714.2i | −0.613254 | + | 1.06219i | 0.377434 | + | 0.926037i | \(0.376807\pi\) |
−0.990688 | + | 0.136151i | \(0.956527\pi\) | |||||||
\(702\) | −14407.8 | + | 8173.80i | −0.774628 | + | 0.439459i | ||||
\(703\) | 6493.70 | − | 884.495i | 0.348385 | − | 0.0474529i | ||||
\(704\) | 1153.00 | − | 25405.4i | 0.0617261 | − | 1.36009i | ||||
\(705\) | 244.367 | + | 141.086i | 0.0130545 | + | 0.00753701i | ||||
\(706\) | −6947.62 | − | 52.5167i | −0.370364 | − | 0.00279956i | ||||
\(707\) | −5049.51 | + | 2915.34i | −0.268609 | + | 0.155081i | ||||
\(708\) | 3513.07 | + | 6302.98i | 0.186482 | + | 0.334577i | ||||
\(709\) | 2138.99 | + | 3704.83i | 0.113302 | + | 0.196245i | 0.917100 | − | 0.398658i | \(-0.130524\pi\) |
−0.803798 | + | 0.594903i | \(0.797191\pi\) | |||||||
\(710\) | 547.559 | + | 965.175i | 0.0289430 | + | 0.0510174i | ||||
\(711\) | −26381.4 | −1.39153 | ||||||||
\(712\) | 8794.41 | − | 4814.95i | 0.462900 | − | 0.253438i | ||||
\(713\) | −9924.31 | + | 5729.81i | −0.521274 | + | 0.300958i | ||||
\(714\) | 508.580 | − | 288.525i | 0.0266570 | − | 0.0151229i | ||||
\(715\) | −3101.93 | −0.162246 | ||||||||
\(716\) | 2828.72 | + | 42.7666i | 0.147645 | + | 0.00223221i | ||||
\(717\) | 2525.23 | + | 1457.94i | 0.131529 | + | 0.0759383i | ||||
\(718\) | −27325.9 | − | 16053.2i | −1.42032 | − | 0.834402i | ||||
\(719\) | 4380.20 | + | 2528.91i | 0.227196 | + | 0.131172i | 0.609278 | − | 0.792957i | \(-0.291459\pi\) |
−0.382082 | + | 0.924128i | \(0.624793\pi\) | |||||||
\(720\) | 1191.98 | + | 36.0508i | 0.0616981 | + | 0.00186602i | ||||
\(721\) | 5976.47i | 0.308703i | ||||||||
\(722\) | 18732.1 | − | 5047.21i | 0.965565 | − | 0.260163i | ||||
\(723\) | − | 3469.37i | − | 0.178461i | ||||||
\(724\) | −24044.8 | + | 13401.8i | −1.23428 | + | 0.687945i | ||||
\(725\) | −17248.9 | − | 9958.64i | −0.883596 | − | 0.510144i | ||||
\(726\) | 2156.78 | − | 3671.29i | 0.110256 | − | 0.187678i | ||||
\(727\) | 11941.3 | + | 6894.31i | 0.609186 | + | 0.351714i | 0.772647 | − | 0.634836i | \(-0.218932\pi\) |
−0.163461 | + | 0.986550i | \(0.552266\pi\) | |||||||
\(728\) | 4143.08 | + | 7567.26i | 0.210924 | + | 0.385249i | ||||
\(729\) | −12415.2 | −0.630758 | ||||||||
\(730\) | 42.0031 | + | 74.0383i | 0.00212959 | + | 0.00375381i | ||||
\(731\) | 12295.9 | − | 7099.05i | 0.622136 | − | 0.359190i | ||||
\(732\) | −2198.76 | − | 33.2425i | −0.111022 | − | 0.00167852i | ||||
\(733\) | −2361.15 | −0.118978 | −0.0594892 | − | 0.998229i | \(-0.518947\pi\) | ||||
−0.0594892 | + | 0.998229i | \(0.518947\pi\) | |||||||
\(734\) | −5476.50 | + | 3106.90i | −0.275397 | + | 0.156237i | ||||
\(735\) | −157.789 | − | 273.298i | −0.00791855 | − | 0.0137153i | ||||
\(736\) | −13639.6 | + | 7201.86i | −0.683101 | + | 0.360685i | ||||
\(737\) | −13079.3 | + | 7551.36i | −0.653709 | + | 0.377419i | ||||
\(738\) | −123.539 | + | 16343.4i | −0.00616195 | + | 0.815186i | ||||
\(739\) | 6781.05 | + | 3915.04i | 0.337544 | + | 0.194881i | 0.659185 | − | 0.751981i | \(-0.270901\pi\) |
−0.321642 | + | 0.946862i | \(0.604235\pi\) | |||||||
\(740\) | 401.087 | + | 239.724i | 0.0199247 | + | 0.0119087i | ||||
\(741\) | −9199.04 | + | 1252.98i | −0.456053 | + | 0.0621181i | ||||
\(742\) | 979.205 | + | 1726.03i | 0.0484471 | + | 0.0853971i | ||||
\(743\) | 1929.75 | − | 3342.43i | 0.0952838 | − | 0.165036i | −0.814443 | − | 0.580243i | \(-0.802957\pi\) |
0.909727 | + | 0.415207i | \(0.136291\pi\) | |||||||
\(744\) | 2094.67 | − | 3445.23i | 0.103218 | − | 0.169769i | ||||
\(745\) | 436.642 | + | 756.286i | 0.0214729 | + | 0.0371922i | ||||
\(746\) | −268.815 | + | 35562.5i | −0.0131931 | + | 1.74536i | ||||
\(747\) | −15828.0 | + | 9138.30i | −0.775256 | + | 0.447594i | ||||
\(748\) | −11809.9 | − | 7058.64i | −0.577292 | − | 0.345039i | ||||
\(749\) | − | 5948.32i | − | 0.290183i | ||||||
\(750\) | −349.512 | + | 594.941i | −0.0170165 | + | 0.0289656i | ||||
\(751\) | 14520.5 | + | 25150.3i | 0.705542 | + | 1.22203i | 0.966496 | + | 0.256683i | \(0.0826297\pi\) |
−0.260953 | + | 0.965351i | \(0.584037\pi\) | |||||||
\(752\) | −16263.9 | + | 8745.38i | −0.788676 | + | 0.424084i | ||||
\(753\) | 3098.50i | 0.149954i | ||||||||
\(754\) | 19398.9 | − | 33020.9i | 0.936956 | − | 1.59489i | ||||
\(755\) | −588.551 | + | 1019.40i | −0.0283703 | + | 0.0491388i | ||||
\(756\) | 37.7242 | − | 2495.20i | 0.00181484 | − | 0.120039i | ||||
\(757\) | −16298.5 | + | 28229.8i | −0.782533 | + | 1.35539i | 0.147929 | + | 0.988998i | \(0.452739\pi\) |
−0.930462 | + | 0.366389i | \(0.880594\pi\) | |||||||
\(758\) | −5817.04 | − | 43.9707i | −0.278739 | − | 0.00210697i | ||||
\(759\) | −5607.59 | −0.268172 | ||||||||
\(760\) | 1268.07 | + | 552.500i | 0.0605233 | + | 0.0263701i | ||||
\(761\) | −17002.6 | −0.809913 | −0.404957 | − | 0.914336i | \(-0.632713\pi\) | ||||
−0.404957 | + | 0.914336i | \(0.632713\pi\) | |||||||
\(762\) | 4141.89 | + | 31.3083i | 0.196909 | + | 0.00148843i | ||||
\(763\) | −168.139 | + | 291.224i | −0.00797775 | + | 0.0138179i | ||||
\(764\) | −267.864 | + | 17717.3i | −0.0126845 | + | 0.838992i | ||||
\(765\) | 322.582 | − | 558.728i | 0.0152457 | − | 0.0264064i | ||||
\(766\) | 11481.0 | − | 19543.0i | 0.541547 | − | 0.921824i | ||||
\(767\) | 57598.6i | 2.71156i | ||||||||
\(768\) | 2992.55 | − | 4527.30i | 0.140605 | − | 0.212715i | ||||
\(769\) | 18030.6 | + | 31229.9i | 0.845514 | + | 1.46447i | 0.885175 | + | 0.465259i | \(0.154039\pi\) |
−0.0396610 | + | 0.999213i | \(0.512628\pi\) | |||||||
\(770\) | 236.703 | − | 402.917i | 0.0110781 | − | 0.0188573i | ||||
\(771\) | 1330.69i | 0.0621580i | ||||||||
\(772\) | −18225.1 | − | 10892.9i | −0.849659 | − | 0.507829i | ||||
\(773\) | 18451.8 | − | 10653.2i | 0.858559 | − | 0.495689i | −0.00497029 | − | 0.999988i | \(-0.501582\pi\) |
0.863530 | + | 0.504298i | \(0.168249\pi\) | |||||||
\(774\) | 221.315 | − | 29278.5i | 0.0102778 | − | 1.35968i | ||||
\(775\) | −8369.04 | − | 14495.6i | −0.387903 | − | 0.671868i | ||||
\(776\) | −14441.7 | − | 8780.42i | −0.668074 | − | 0.406184i | ||||
\(777\) | 236.237 | − | 409.174i | 0.0109073 | − | 0.0188919i | ||||
\(778\) | 6558.00 | + | 11559.7i | 0.302205 | + | 0.532693i | ||||
\(779\) | −7176.12 | + | 17546.4i | −0.330053 | + | 0.807014i | ||||
\(780\) | −568.184 | − | 339.595i | −0.0260824 | − | 0.0155891i | ||||
\(781\) | −22864.6 | − | 13200.9i | −1.04758 | − | 0.604821i | ||||
\(782\) | −63.0742 | + | 8344.32i | −0.00288431 | + | 0.381576i | ||||
\(783\) | −9593.67 | + | 5538.91i | −0.437867 | + | 0.252802i | ||||
\(784\) | 20642.9 | + | 624.332i | 0.940365 | + | 0.0284408i | ||||
\(785\) | −490.429 | − | 849.448i | −0.0222983 | − | 0.0386218i | ||||
\(786\) | −3969.71 | + | 2252.08i | −0.180146 | + | 0.102200i | ||||
\(787\) | 31916.2 | 1.44560 | 0.722801 | − | 0.691056i | \(-0.242854\pi\) | ||||
0.722801 | + | 0.691056i | \(0.242854\pi\) | |||||||
\(788\) | 16539.7 | + | 250.060i | 0.747720 | + | 0.0113046i | ||||
\(789\) | −2444.83 | + | 1411.52i | −0.110315 | + | 0.0636902i | ||||
\(790\) | −1076.54 | − | 1897.60i | −0.0484830 | − | 0.0854604i | ||||
\(791\) | −3543.13 | −0.159266 | ||||||||
\(792\) | −24887.1 | + | 13625.7i | −1.11657 | + | 0.611324i | ||||
\(793\) | −15201.2 | − | 8776.44i | −0.680721 | − | 0.393015i | ||||
\(794\) | −8110.03 | + | 13804.9i | −0.362486 | + | 0.617026i | ||||
\(795\) | −131.861 | − | 76.1299i | −0.00588254 | − | 0.00339629i | ||||
\(796\) | −21694.5 | + | 12091.8i | −0.966004 | + | 0.538418i | ||||
\(797\) | − | 18567.8i | − | 0.825228i | −0.910906 | − | 0.412614i | \(-0.864616\pi\) | ||
0.910906 | − | 0.412614i | \(-0.135384\pi\) | |||||||
\(798\) | 539.209 | − | 1290.50i | 0.0239195 | − | 0.0572470i | ||||
\(799\) | 9990.25i | 0.442340i | ||||||||
\(800\) | −10519.1 | − | 19922.2i | −0.464885 | − | 0.880445i | ||||
\(801\) | −9687.26 | − | 5592.94i | −0.427319 | − | 0.246713i | ||||
\(802\) | −4403.83 | − | 2587.13i | −0.193896 | − | 0.113909i | ||||
\(803\) | −1753.94 | − | 1012.64i | −0.0770799 | − | 0.0445021i | ||||
\(804\) | −3222.47 | − | 48.7197i | −0.141353 | − | 0.00213708i | ||||
\(805\) | −283.417 | −0.0124089 | ||||||||
\(806\) | 27993.3 | − | 15881.1i | 1.22335 | − | 0.694028i | ||||
\(807\) | 9067.35 | − | 5235.04i | 0.395521 | − | 0.228354i | ||||
\(808\) | 14059.8 | + | 25680.0i | 0.612157 | + | 1.11809i | ||||
\(809\) | −5846.62 | −0.254087 | −0.127043 | − | 0.991897i | \(-0.540549\pi\) | ||||
−0.127043 | + | 0.991897i | \(0.540549\pi\) | |||||||
\(810\) | −607.674 | − | 1071.14i | −0.0263599 | − | 0.0464642i | ||||
\(811\) | −5472.20 | − | 9478.13i | −0.236936 | − | 0.410385i | 0.722898 | − | 0.690955i | \(-0.242810\pi\) |
−0.959834 | + | 0.280570i | \(0.909476\pi\) | |||||||
\(812\) | 2808.86 | + | 5039.52i | 0.121394 | + | 0.217799i | ||||
\(813\) | −3349.88 | + | 1934.06i | −0.144509 | + | 0.0834321i | ||||
\(814\) | −11117.0 | − | 84.0331i | −0.478688 | − | 0.00361838i | ||||
\(815\) | 1634.19 | + | 943.500i | 0.0702370 | + | 0.0405514i | ||||
\(816\) | −1390.47 | − | 2585.88i | −0.0596521 | − | 0.110936i | ||||
\(817\) | 12855.7 | − | 31433.7i | 0.550509 | − | 1.34605i | ||||
\(818\) | 7407.50 | − | 4202.39i | 0.316623 | − | 0.179625i | ||||
\(819\) | 4812.52 | − | 8335.52i | 0.205327 | − | 0.355637i | ||||
\(820\) | −1180.62 | + | 658.035i | −0.0502791 | + | 0.0280239i | ||||
\(821\) | 9826.49 | + | 17020.0i | 0.417718 | + | 0.723509i | 0.995710 | − | 0.0925337i | \(-0.0294966\pi\) |
−0.577991 | + | 0.816043i | \(0.696163\pi\) | |||||||
\(822\) | −5303.04 | − | 40.0854i | −0.225018 | − | 0.00170090i | ||||
\(823\) | −23131.5 | + | 13355.0i | −0.979726 | + | 0.565645i | −0.902187 | − | 0.431344i | \(-0.858039\pi\) |
−0.0775386 | + | 0.996989i | \(0.524706\pi\) | |||||||
\(824\) | 30001.3 | + | 680.439i | 1.26838 | + | 0.0287672i | ||||
\(825\) | − | 8190.53i | − | 0.345646i | ||||||
\(826\) | −7481.61 | − | 4395.24i | −0.315156 | − | 0.185145i | ||||
\(827\) | −9407.85 | − | 16294.9i | −0.395578 | − | 0.685161i | 0.597597 | − | 0.801797i | \(-0.296122\pi\) |
−0.993175 | + | 0.116636i | \(0.962789\pi\) | |||||||
\(828\) | 14770.9 | + | 8828.38i | 0.619958 | + | 0.370540i | ||||
\(829\) | 42600.5i | 1.78477i | 0.451271 | + | 0.892387i | \(0.350971\pi\) | ||||
−0.451271 | + | 0.892387i | \(0.649029\pi\) | |||||||
\(830\) | −1303.21 | − | 765.598i | −0.0544999 | − | 0.0320172i | ||||
\(831\) | 4867.97 | − | 8431.57i | 0.203211 | − | 0.351971i | ||||
\(832\) | 38458.7 | − | 19936.3i | 1.60254 | − | 0.830731i | ||||
\(833\) | 5586.51 | − | 9676.11i | 0.232366 | − | 0.402470i | ||||
\(834\) | −76.3099 | + | 10095.3i | −0.00316834 | + | 0.419151i | ||||
\(835\) | 353.546 | 0.0146527 | ||||||||
\(836\) | −32672.0 | + | 3948.10i | −1.35166 | + | 0.163335i | ||||
\(837\) | −9309.57 | −0.384452 | ||||||||
\(838\) | −165.911 | + | 21949.0i | −0.00683926 | + | 0.904791i | ||||
\(839\) | 19077.4 | − | 33043.0i | 0.785011 | − | 1.35968i | −0.143982 | − | 0.989580i | \(-0.545991\pi\) |
0.928993 | − | 0.370098i | \(-0.120676\pi\) | |||||||
\(840\) | 87.4679 | − | 47.8887i | 0.00359277 | − | 0.00196705i | ||||
\(841\) | 611.215 | − | 1058.65i | 0.0250611 | − | 0.0434071i | ||||
\(842\) | −16183.1 | − | 9507.14i | −0.662360 | − | 0.389118i | ||||
\(843\) | − | 12014.9i | − | 0.490886i | ||||||
\(844\) | −22825.8 | + | 38190.3i | −0.930920 | + | 1.55754i | ||||
\(845\) | −1831.03 | − | 3171.43i | −0.0745435 | − | 0.129113i | ||||
\(846\) | 17763.4 | + | 10435.5i | 0.721890 | + | 0.424091i | ||||
\(847\) | 5120.18i | 0.207711i | ||||||||
\(848\) | 8776.02 | − | 4719.01i | 0.355389 | − | 0.191098i | ||||
\(849\) | 1808.58 | − | 1044.18i | 0.0731098 | − | 0.0422099i | ||||
\(850\) | −12187.8 | − | 92.1272i | −0.491811 | − | 0.00371757i | ||||
\(851\) | 3371.33 | + | 5839.31i | 0.135802 | + | 0.235216i | ||||
\(852\) | −2742.92 | − | 4921.21i | −0.110294 | − | 0.197885i | ||||
\(853\) | 20474.0 | − | 35461.9i | 0.821823 | − | 1.42344i | −0.0824998 | − | 0.996591i | \(-0.526290\pi\) |
0.904323 | − | 0.426849i | \(-0.140376\pi\) | |||||||
\(854\) | 2299.97 | − | 1304.81i | 0.0921585 | − | 0.0522830i | ||||
\(855\) | −208.272 | − | 1529.07i | −0.00833069 | − | 0.0611615i | ||||
\(856\) | −29860.0 | − | 677.234i | −1.19228 | − | 0.0270413i | ||||
\(857\) | 18584.3 | + | 10729.7i | 0.740756 | + | 0.427676i | 0.822344 | − | 0.568991i | \(-0.192666\pi\) |
−0.0815882 | + | 0.996666i | \(0.525999\pi\) | |||||||
\(858\) | 15748.5 | + | 119.042i | 0.626626 | + | 0.00473663i | ||||
\(859\) | 10176.2 | − | 5875.23i | 0.404199 | − | 0.233365i | −0.284095 | − | 0.958796i | \(-0.591693\pi\) |
0.688294 | + | 0.725432i | \(0.258360\pi\) | |||||||
\(860\) | 2115.03 | − | 1178.85i | 0.0838626 | − | 0.0467422i | ||||
\(861\) | 683.337 | + | 1183.57i | 0.0270477 | + | 0.0468480i | ||||
\(862\) | −19409.8 | − | 34213.5i | −0.766939 | − | 1.35187i | ||||
\(863\) | −14087.7 | −0.555677 | −0.277839 | − | 0.960628i | \(-0.589618\pi\) | ||||
−0.277839 | + | 0.960628i | \(0.589618\pi\) | |||||||
\(864\) | −12521.4 | − | 473.458i | −0.493039 | − | 0.0186428i | ||||
\(865\) | 1446.52 | − | 835.151i | 0.0568593 | − | 0.0328277i | ||||
\(866\) | 7131.68 | − | 4045.91i | 0.279843 | − | 0.158759i | ||||
\(867\) | 4921.03 | 0.192765 | ||||||||
\(868\) | −73.2953 | + | 4847.97i | −0.00286613 | + | 0.189575i | ||||
\(869\) | 44953.5 | + | 25953.9i | 1.75483 | + | 1.01315i | ||||
\(870\) | −381.679 | − | 224.226i | −0.0148737 | − | 0.00873790i | ||||
\(871\) | −22278.7 | − | 12862.6i | −0.866689 | − | 0.500383i | ||||
\(872\) | 1442.78 | + | 877.197i | 0.0560305 | + | 0.0340661i | ||||
\(873\) | 18856.2i | 0.731028i | ||||||||
\(874\) | 12101.8 | + | 15872.4i | 0.468362 | + | 0.614294i | ||||
\(875\) | − | 829.738i | − | 0.0320575i | ||||||
\(876\) | −210.408 | − | 377.505i | −0.00811535 | − | 0.0145602i | ||||
\(877\) | −32837.1 | − | 18958.5i | −1.26434 | − | 0.729969i | −0.290432 | − | 0.956896i | \(-0.593799\pi\) |
−0.973912 | + | 0.226926i | \(0.927132\pi\) | |||||||
\(878\) | −1231.17 | + | 2095.70i | −0.0473234 | + | 0.0805542i | ||||
\(879\) | −2825.11 | − | 1631.08i | −0.108406 | − | 0.0625881i | ||||
\(880\) | −1995.66 | − | 1234.10i | −0.0764473 | − | 0.0472744i | ||||
\(881\) | 18862.7 | 0.721338 | 0.360669 | − | 0.932694i | \(-0.382548\pi\) | ||||
0.360669 | + | 0.932694i | \(0.382548\pi\) | |||||||
\(882\) | −11369.3 | − | 20040.6i | −0.434043 | − | 0.765082i | ||||
\(883\) | −5780.61 | + | 3337.44i | −0.220309 | + | 0.127196i | −0.606093 | − | 0.795393i | \(-0.707264\pi\) |
0.385784 | + | 0.922589i | \(0.373931\pi\) | |||||||
\(884\) | 354.279 | − | 23433.1i | 0.0134793 | − | 0.891561i | ||||
\(885\) | 665.766 | 0.0252876 | ||||||||
\(886\) | 23059.7 | − | 13082.1i | 0.874384 | − | 0.496052i | ||||
\(887\) | −3078.51 | − | 5332.14i | −0.116535 | − | 0.201844i | 0.801858 | − | 0.597515i | \(-0.203845\pi\) |
−0.918392 | + | 0.395671i | \(0.870512\pi\) | |||||||
\(888\) | −2027.12 | − | 1232.47i | −0.0766055 | − | 0.0465755i | ||||
\(889\) | −4313.48 | + | 2490.39i | −0.162733 | + | 0.0939538i | ||||
\(890\) | 6.99226 | − | 925.032i | 0.000263350 | − | 0.0348395i | ||||
\(891\) | 25374.9 | + | 14650.2i | 0.954086 | + | 0.550842i | ||||
\(892\) | −11662.7 | + | 19513.0i | −0.437774 | + | 0.732448i | ||||
\(893\) | 14631.7 | + | 18892.7i | 0.548298 | + | 0.707973i | ||||
\(894\) | −2187.81 | − | 3856.42i | −0.0818470 | − | 0.144271i | ||||
\(895\) | 130.509 | − | 226.048i | 0.00487423 | − | 0.00844241i | ||||
\(896\) | −345.136 | + | 6516.79i | −0.0128685 | + | 0.242981i | ||||
\(897\) | −4775.85 | − | 8272.02i | −0.177772 | − | 0.307909i | ||||
\(898\) | 1.00349 | − | 132.756i | 3.72907e−5 | − | 0.00493332i | ||||
\(899\) | 18639.8 | − | 10761.7i | 0.691514 | − | 0.399246i | ||||
\(900\) | −12894.9 | + | 21574.7i | −0.477588 | + | 0.799061i | ||||
\(901\) | − | 5390.74i | − | 0.199325i | ||||||
\(902\) | 16289.1 | − | 27727.3i | 0.601293 | − | 1.02353i | ||||
\(903\) | −1224.17 | − | 2120.33i | −0.0451140 | − | 0.0781397i | ||||
\(904\) | −403.396 | + | 17786.2i | −0.0148415 | + | 0.654381i | ||||
\(905\) | 2539.79i | 0.0932877i | ||||||||
\(906\) | 3027.20 | − | 5152.91i | 0.111006 | − | 0.188956i | ||||
\(907\) | −8578.02 | + | 14857.6i | −0.314033 | + | 0.543922i | −0.979232 | − | 0.202745i | \(-0.935014\pi\) |
0.665198 | + | 0.746667i | \(0.268347\pi\) | |||||||
\(908\) | 53975.3 | + | 816.038i | 1.97272 | + | 0.0298251i | ||||
\(909\) | 16331.6 | − | 28287.2i | 0.595913 | − | 1.03215i | ||||
\(910\) | 795.956 | + | 6.01658i | 0.0289952 | + | 0.000219173i | ||||
\(911\) | 27397.9 | 0.996414 | 0.498207 | − | 0.867058i | \(-0.333992\pi\) | ||||
0.498207 | + | 0.867058i | \(0.333992\pi\) | |||||||
\(912\) | −6416.79 | − | 2853.71i | −0.232984 | − | 0.103614i | ||||
\(913\) | 35960.9 | 1.30354 | ||||||||
\(914\) | 45837.4 | + | 346.482i | 1.65883 | + | 0.0125390i | ||||
\(915\) | −101.444 | + | 175.707i | −0.00366519 | + | 0.00634830i | ||||
\(916\) | −46554.0 | − | 703.839i | −1.67925 | − | 0.0253881i | ||||
\(917\) | 2744.14 | − | 4752.98i | 0.0988215 | − | 0.171164i | ||||
\(918\) | −3433.76 | + | 5844.97i | −0.123454 | + | 0.210145i | ||||
\(919\) | − | 50927.7i | − | 1.82802i | −0.405690 | − | 0.914011i | \(-0.632969\pi\) | ||
0.405690 | − | 0.914011i | \(-0.367031\pi\) | |||||||
\(920\) | −32.2679 | + | 1422.73i | −0.00115635 | + | 0.0509847i | ||||
\(921\) | −1978.60 | − | 3427.04i | −0.0707895 | − | 0.122611i | ||||
\(922\) | −3831.11 | + | 6521.34i | −0.136845 | + | 0.232938i | ||||
\(923\) | − | 44971.6i | − | 1.60375i | ||||||
\(924\) | −1217.20 | + | 2036.53i | −0.0433366 | + | 0.0725073i | ||||
\(925\) | −8528.99 | + | 4924.21i | −0.303169 | + | 0.175035i | ||||
\(926\) | −83.2633 | + | 11015.2i | −0.00295486 | + | 0.390909i | ||||
\(927\) | −16740.0 | − | 28994.5i | −0.593110 | − | 1.02730i | ||||
\(928\) | 25617.8 | − | 13526.5i | 0.906190 | − | 0.478479i | ||||
\(929\) | −10753.0 | + | 18624.8i | −0.379758 | + | 0.657760i | −0.991027 | − | 0.133663i | \(-0.957326\pi\) |
0.611269 | + | 0.791423i | \(0.290659\pi\) | |||||||
\(930\) | −183.565 | − | 323.567i | −0.00647240 | − | 0.0114088i | ||||
\(931\) | −3606.87 | − | 26480.6i | −0.126971 | − | 0.932187i | ||||
\(932\) | −19605.6 | + | 32802.4i | −0.689057 | + | 1.15287i | ||||
\(933\) | −9086.25 | − | 5245.95i | −0.318832 | − | 0.184078i | ||||
\(934\) | 112.186 | − | 14841.5i | 0.00393025 | − | 0.519947i | ||||
\(935\) | −1099.35 | + | 634.710i | −0.0384520 | + | 0.0222003i | ||||
\(936\) | −41295.7 | − | 25107.4i | −1.44208 | − | 0.876776i | ||||
\(937\) | −3417.25 | − | 5918.85i | −0.119143 | − | 0.206361i | 0.800286 | − | 0.599619i | \(-0.204681\pi\) |
−0.919428 | + | 0.393258i | \(0.871348\pi\) | |||||||
\(938\) | 3370.80 | − | 1912.31i | 0.117335 | − | 0.0665662i | ||||
\(939\) | −5018.67 | −0.174417 | ||||||||
\(940\) | −25.7557 | + | 1703.56i | −0.000893678 | + | 0.0591106i | ||||
\(941\) | −4239.85 | + | 2447.88i | −0.146881 | + | 0.0848019i | −0.571639 | − | 0.820505i | \(-0.693692\pi\) |
0.424758 | + | 0.905307i | \(0.360359\pi\) | |||||||
\(942\) | 2457.31 | + | 4331.47i | 0.0849931 | + | 0.149816i | ||||
\(943\) | −19503.8 | −0.673521 | ||||||||
\(944\) | −22915.5 | + | 37056.6i | −0.790082 | + | 1.27764i | ||||
\(945\) | −199.396 | − | 115.121i | −0.00686386 | − | 0.00396285i | ||||
\(946\) | −29181.3 | + | 49672.5i | −1.00292 | + | 1.70718i | ||||
\(947\) | 21112.0 | + | 12189.0i | 0.724442 | + | 0.418257i | 0.816385 | − | 0.577508i | \(-0.195975\pi\) |
−0.0919435 | + | 0.995764i | \(0.529308\pi\) | |||||||
\(948\) | 5392.78 | + | 9675.46i | 0.184757 | + | 0.331481i | ||||
\(949\) | − | 3449.76i | − | 0.118002i | ||||||
\(950\) | −23183.5 | + | 17676.0i | −0.791761 | + | 0.603670i | ||||
\(951\) | 8027.48i | 0.273721i | ||||||||
\(952\) | 3016.74 | + | 1834.15i | 0.102703 | + | 0.0624425i | ||||
\(953\) | 34104.1 | + | 19690.0i | 1.15922 | + | 0.669279i | 0.951118 | − | 0.308828i | \(-0.0999366\pi\) |
0.208107 | + | 0.978106i | \(0.433270\pi\) | |||||||
\(954\) | −9585.14 | − | 5631.01i | −0.325294 | − | 0.191101i | ||||
\(955\) | 1415.82 | + | 817.427i | 0.0479738 | + | 0.0276977i | ||||
\(956\) | −266.152 | + | 17604.1i | −0.00900415 | + | 0.595562i | ||||
\(957\) | 10532.1 | 0.355753 | ||||||||
\(958\) | 14288.9 | − | 8106.30i | 0.481892 | − | 0.273385i | ||||
\(959\) | 5522.73 | − | 3188.55i | 0.185963 | − | 0.107366i | ||||
\(960\) | −230.439 | − | 444.533i | −0.00774727 | − | 0.0149451i | ||||
\(961\) | −11703.2 | −0.392844 | ||||||||
\(962\) | −9344.16 | − | 16470.8i | −0.313168 | − | 0.552018i | ||||
\(963\) | 16661.1 | + | 28857.9i | 0.557526 | + | 0.965663i | ||||
\(964\) | 18297.8 | − | 10198.6i | 0.611342 | − | 0.340741i | ||||
\(965\) | −1696.52 | + | 979.486i | −0.0565937 | + | 0.0326744i | ||||
\(966\) | 1438.91 | + | 10.8766i | 0.0479256 | + | 0.000362267i | ||||
\(967\) | −45006.4 | − | 25984.5i | −1.49670 | − | 0.864121i | −0.496708 | − | 0.867918i | \(-0.665458\pi\) |
−0.999993 | + | 0.00379707i | \(0.998791\pi\) | |||||||
\(968\) | 25702.9 | + | 582.948i | 0.853431 | + | 0.0193561i | ||||
\(969\) | −3003.84 | + | 2326.36i | −0.0995842 | + | 0.0771242i | ||||
\(970\) | −1356.32 | + | 769.464i | −0.0448958 | + | 0.0254701i | ||||
\(971\) | 22337.6 | − | 38689.9i | 0.738258 | − | 1.27870i | −0.215021 | − | 0.976610i | \(-0.568982\pi\) |
0.953279 | − | 0.302091i | \(-0.0976848\pi\) | |||||||
\(972\) | 10323.3 | + | 18521.6i | 0.340659 | + | 0.611194i | ||||
\(973\) | −6070.00 | − | 10513.5i | −0.199995 | − | 0.346402i | ||||
\(974\) | −40730.1 | − | 307.876i | −1.33991 | − | 0.0101283i | ||||
\(975\) | 12082.2 | − | 6975.68i | 0.396863 | − | 0.229129i | ||||
\(976\) | −6288.17 | − | 11694.2i | −0.206229 | − | 0.383527i | ||||
\(977\) | 48849.3i | 1.59962i | 0.600253 | + | 0.799810i | \(0.295066\pi\) | ||||
−0.600253 | + | 0.799810i | \(0.704934\pi\) | |||||||
\(978\) | −8260.57 | − | 4852.86i | −0.270086 | − | 0.158668i | ||||
\(979\) | 11004.6 | + | 19060.6i | 0.359254 | + | 0.622247i | ||||
\(980\) | 977.568 | − | 1635.59i | 0.0318646 | − | 0.0533132i | ||||
\(981\) | − | 1883.81i | − | 0.0613104i | ||||||
\(982\) | 38791.7 | + | 22789.1i | 1.26058 | + | 0.740559i | ||||
\(983\) | −19594.1 | + | 33938.0i | −0.635764 | + | 1.10118i | 0.350589 | + | 0.936530i | \(0.385982\pi\) |
−0.986353 | + | 0.164646i | \(0.947352\pi\) | |||||||
\(984\) | 6019.24 | − | 3295.54i | 0.195006 | − | 0.106766i | ||||
\(985\) | 763.096 | − | 1321.72i | 0.0246845 | − | 0.0427549i | ||||
\(986\) | 118.465 | − | 15672.2i | 0.00382628 | − | 0.506192i | ||||
\(987\) | 1722.74 | 0.0555575 | ||||||||
\(988\) | −33650.0 | − | 44833.5i | −1.08355 | − | 1.44367i | ||||
\(989\) | 34940.3 | 1.12339 | ||||||||
\(990\) | −19.7872 | + | 2617.73i | −0.000635232 | + | 0.0840372i | ||||
\(991\) | −5518.01 | + | 9557.48i | −0.176877 | + | 0.306361i | −0.940809 | − | 0.338936i | \(-0.889933\pi\) |
0.763932 | + | 0.645297i | \(0.223266\pi\) | |||||||
\(992\) | 24328.1 | + | 919.892i | 0.778646 | + | 0.0294422i | ||||
\(993\) | −2437.64 | + | 4222.11i | −0.0779013 | + | 0.134929i | ||||
\(994\) | 5841.46 | + | 3431.70i | 0.186398 | + | 0.109504i | ||||
\(995\) | 2291.53i | 0.0730113i | ||||||||
\(996\) | 6587.00 | + | 3936.96i | 0.209555 | + | 0.125248i | ||||
\(997\) | −4004.60 | − | 6936.18i | −0.127209 | − | 0.220332i | 0.795385 | − | 0.606104i | \(-0.207268\pi\) |
−0.922594 | + | 0.385772i | \(0.873935\pi\) | |||||||
\(998\) | −31271.5 | − | 18371.2i | −0.991865 | − | 0.582694i | ||||
\(999\) | 5477.61i | 0.173477i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 76.4.f.a.27.1 | ✓ | 56 | |
4.3 | odd | 2 | inner | 76.4.f.a.27.10 | yes | 56 | |
19.12 | odd | 6 | inner | 76.4.f.a.31.10 | yes | 56 | |
76.31 | even | 6 | inner | 76.4.f.a.31.1 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.4.f.a.27.1 | ✓ | 56 | 1.1 | even | 1 | trivial | |
76.4.f.a.27.10 | yes | 56 | 4.3 | odd | 2 | inner | |
76.4.f.a.31.1 | yes | 56 | 76.31 | even | 6 | inner | |
76.4.f.a.31.10 | yes | 56 | 19.12 | odd | 6 | inner |