Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [100,4,Mod(3,100)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(100, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 7]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("100.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 100 = 2^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 100.l (of order \(20\), degree \(8\), 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: | \(5.90019100057\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 3.8 | ||
Character | \(\chi\) | \(=\) | 100.3 |
Dual form | 100.4.l.b.67.8 |
$q$-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 \(\left(\mathbb{Z}/100\mathbb{Z}\right)^\times\).
\(n\) | \(51\) | \(77\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.45543 | − | 1.40388i | −0.868124 | − | 0.496348i | ||||
\(3\) | −3.77500 | + | 0.597901i | −0.726499 | + | 0.115066i | −0.508720 | − | 0.860932i | \(-0.669881\pi\) |
−0.217779 | + | 0.975998i | \(0.569881\pi\) | |||||||
\(4\) | 4.05822 | + | 6.89426i | 0.507278 | + | 0.861782i | ||||
\(5\) | −11.1789 | − | 0.177504i | −0.999874 | − | 0.0158764i | ||||
\(6\) | 10.1086 | + | 3.83155i | 0.687803 | + | 0.260704i | ||||
\(7\) | 9.86563 | + | 9.86563i | 0.532694 | + | 0.532694i | 0.921373 | − | 0.388679i | \(-0.127069\pi\) |
−0.388679 | + | 0.921373i | \(0.627069\pi\) | |||||||
\(8\) | −0.285929 | − | 22.6256i | −0.0126364 | − | 0.999920i | ||||
\(9\) | −11.7854 | + | 3.82931i | −0.436497 | + | 0.141826i | ||||
\(10\) | 27.1998 | + | 16.1298i | 0.860134 | + | 0.510068i | ||||
\(11\) | 26.9221 | + | 8.74752i | 0.737938 | + | 0.239771i | 0.653783 | − | 0.756682i | \(-0.273181\pi\) |
0.0841552 | + | 0.996453i | \(0.473181\pi\) | |||||||
\(12\) | −19.4419 | − | 23.5994i | −0.467699 | − | 0.567713i | ||||
\(13\) | 27.3373 | − | 53.6525i | 0.583231 | − | 1.14466i | −0.391270 | − | 0.920276i | \(-0.627964\pi\) |
0.974502 | − | 0.224380i | \(-0.0720357\pi\) | |||||||
\(14\) | −10.3741 | − | 38.0745i | −0.198043 | − | 0.726846i | ||||
\(15\) | 42.3066 | − | 6.01382i | 0.728234 | − | 0.103517i | ||||
\(16\) | −31.0616 | + | 55.9569i | −0.485338 | + | 0.874327i | ||||
\(17\) | 12.0184 | − | 75.8815i | 0.171465 | − | 1.08259i | −0.740421 | − | 0.672143i | \(-0.765374\pi\) |
0.911886 | − | 0.410443i | \(-0.134626\pi\) | |||||||
\(18\) | 34.3141 | + | 7.14275i | 0.449328 | + | 0.0935312i | ||||
\(19\) | 30.8285 | − | 22.3982i | 0.372239 | − | 0.270447i | −0.385900 | − | 0.922541i | \(-0.626109\pi\) |
0.758139 | + | 0.652093i | \(0.226109\pi\) | |||||||
\(20\) | −44.1428 | − | 77.7908i | −0.493532 | − | 0.869728i | ||||
\(21\) | −43.1414 | − | 31.3441i | −0.448296 | − | 0.325706i | ||||
\(22\) | −53.8247 | − | 59.2744i | −0.521612 | − | 0.574425i | ||||
\(23\) | −63.0536 | − | 123.750i | −0.571634 | − | 1.12190i | −0.978082 | − | 0.208221i | \(-0.933233\pi\) |
0.406448 | − | 0.913674i | \(-0.366767\pi\) | |||||||
\(24\) | 14.6073 | + | 85.2407i | 0.124237 | + | 0.724987i | ||||
\(25\) | 124.937 | + | 3.96861i | 0.999496 | + | 0.0317489i | ||||
\(26\) | −142.447 | + | 93.3613i | −1.07446 | + | 0.704218i | ||||
\(27\) | 134.148 | − | 68.3519i | 0.956179 | − | 0.487197i | ||||
\(28\) | −27.9793 | + | 108.053i | −0.188842 | + | 0.729290i | ||||
\(29\) | 66.8440 | − | 92.0029i | 0.428022 | − | 0.589121i | −0.539476 | − | 0.842001i | \(-0.681378\pi\) |
0.967498 | + | 0.252880i | \(0.0813777\pi\) | |||||||
\(30\) | −112.323 | − | 44.6270i | −0.683578 | − | 0.271591i | ||||
\(31\) | 167.272 | + | 230.230i | 0.969126 | + | 1.33389i | 0.942487 | + | 0.334242i | \(0.108480\pi\) |
0.0266390 | + | 0.999645i | \(0.491520\pi\) | |||||||
\(32\) | 154.826 | − | 93.7911i | 0.855304 | − | 0.518127i | ||||
\(33\) | −106.861 | − | 16.9251i | −0.563701 | − | 0.0892814i | ||||
\(34\) | −136.039 | + | 169.449i | −0.686192 | + | 0.854712i | ||||
\(35\) | −108.536 | − | 112.038i | −0.524169 | − | 0.541084i | ||||
\(36\) | −74.2281 | − | 65.7115i | −0.343649 | − | 0.304220i | ||||
\(37\) | 29.0995 | + | 14.8270i | 0.129296 | + | 0.0658794i | 0.517442 | − | 0.855718i | \(-0.326884\pi\) |
−0.388146 | + | 0.921598i | \(0.626884\pi\) | |||||||
\(38\) | −107.141 | + | 11.7175i | −0.457385 | + | 0.0500219i | ||||
\(39\) | −71.1194 | + | 218.883i | −0.292006 | + | 0.898701i | ||||
\(40\) | −0.819753 | + | 252.981i | −0.00324036 | + | 0.999995i | ||||
\(41\) | 64.0136 | + | 197.014i | 0.243835 | + | 0.750448i | 0.995826 | + | 0.0912741i | \(0.0290939\pi\) |
−0.751990 | + | 0.659174i | \(0.770906\pi\) | |||||||
\(42\) | 61.9271 | + | 137.528i | 0.227513 | + | 0.505264i | ||||
\(43\) | −69.9527 | + | 69.9527i | −0.248086 | + | 0.248086i | −0.820185 | − | 0.572099i | \(-0.806129\pi\) |
0.572099 | + | 0.820185i | \(0.306129\pi\) | |||||||
\(44\) | 48.9483 | + | 221.107i | 0.167710 | + | 0.757573i | ||||
\(45\) | 132.428 | − | 40.7156i | 0.438693 | − | 0.134878i | ||||
\(46\) | −18.9067 | + | 392.378i | −0.0606008 | + | 1.25767i | ||||
\(47\) | 44.0453 | + | 278.091i | 0.136695 | + | 0.863059i | 0.956779 | + | 0.290816i | \(0.0939267\pi\) |
−0.820084 | + | 0.572243i | \(0.806073\pi\) | |||||||
\(48\) | 83.8009 | − | 229.809i | 0.251992 | − | 0.691043i | ||||
\(49\) | − | 148.339i | − | 0.432474i | ||||||
\(50\) | −301.202 | − | 185.142i | −0.851928 | − | 0.523659i | ||||
\(51\) | 293.638i | 0.806227i | ||||||||
\(52\) | 480.835 | − | 29.2633i | 1.28230 | − | 0.0780402i | ||||
\(53\) | −33.1728 | − | 209.445i | −0.0859744 | − | 0.542821i | −0.992653 | − | 0.120998i | \(-0.961390\pi\) |
0.906678 | − | 0.421823i | \(-0.138610\pi\) | |||||||
\(54\) | −425.349 | − | 20.4954i | −1.07190 | − | 0.0516494i | ||||
\(55\) | −299.408 | − | 102.567i | −0.734039 | − | 0.251456i | ||||
\(56\) | 220.395 | − | 226.037i | 0.525920 | − | 0.539383i | ||||
\(57\) | −102.986 | + | 102.986i | −0.239312 | + | 0.239312i | ||||
\(58\) | −293.292 | + | 132.065i | −0.663985 | + | 0.298983i | ||||
\(59\) | −109.266 | − | 336.285i | −0.241105 | − | 0.742044i | −0.996253 | − | 0.0864895i | \(-0.972435\pi\) |
0.755148 | − | 0.655554i | \(-0.227565\pi\) | |||||||
\(60\) | 213.150 | + | 267.267i | 0.458626 | + | 0.575067i | ||||
\(61\) | 287.830 | − | 885.849i | 0.604145 | − | 1.85937i | 0.101581 | − | 0.994827i | \(-0.467610\pi\) |
0.502564 | − | 0.864540i | \(-0.332390\pi\) | |||||||
\(62\) | −87.5075 | − | 800.142i | −0.179249 | − | 1.63900i | ||||
\(63\) | −154.049 | − | 78.4919i | −0.308069 | − | 0.156969i | ||||
\(64\) | −511.836 | + | 12.9386i | −0.999681 | + | 0.0252708i | ||||
\(65\) | −315.125 | + | 594.925i | −0.601331 | + | 1.13525i | ||||
\(66\) | 238.628 | + | 191.579i | 0.445047 | + | 0.357299i | ||||
\(67\) | 619.880 | + | 98.1793i | 1.13030 | + | 0.179023i | 0.693446 | − | 0.720508i | \(-0.256091\pi\) |
0.436857 | + | 0.899531i | \(0.356091\pi\) | |||||||
\(68\) | 571.920 | − | 225.086i | 1.01993 | − | 0.401407i | ||||
\(69\) | 312.017 | + | 429.455i | 0.544383 | + | 0.749279i | ||||
\(70\) | 109.213 | + | 427.474i | 0.186478 | + | 0.729898i | ||||
\(71\) | 119.327 | − | 164.240i | 0.199458 | − | 0.274531i | −0.697558 | − | 0.716528i | \(-0.745730\pi\) |
0.897016 | + | 0.441998i | \(0.145730\pi\) | |||||||
\(72\) | 90.0103 | + | 265.557i | 0.147331 | + | 0.434670i | ||||
\(73\) | −924.467 | + | 471.040i | −1.48220 | + | 0.755220i | −0.993129 | − | 0.117023i | \(-0.962665\pi\) |
−0.489073 | + | 0.872243i | \(0.662665\pi\) | |||||||
\(74\) | −50.6364 | − | 77.2588i | −0.0795455 | − | 0.121367i | ||||
\(75\) | −474.010 | + | 59.7184i | −0.729786 | + | 0.0919426i | ||||
\(76\) | 279.528 | + | 121.643i | 0.421895 | + | 0.183597i | ||||
\(77\) | 179.304 | + | 351.903i | 0.265371 | + | 0.520820i | ||||
\(78\) | 481.915 | − | 437.608i | 0.699565 | − | 0.635247i | ||||
\(79\) | −483.639 | − | 351.384i | −0.688780 | − | 0.500428i | 0.187479 | − | 0.982269i | \(-0.439968\pi\) |
−0.876259 | + | 0.481841i | \(0.839968\pi\) | |||||||
\(80\) | 357.168 | − | 620.025i | 0.499158 | − | 0.866511i | ||||
\(81\) | −194.859 | + | 141.573i | −0.267296 | + | 0.194202i | ||||
\(82\) | 119.404 | − | 573.620i | 0.160804 | − | 0.772509i | ||||
\(83\) | 202.042 | − | 1275.64i | 0.267193 | − | 1.68699i | −0.380256 | − | 0.924881i | \(-0.624164\pi\) |
0.647449 | − | 0.762109i | \(-0.275836\pi\) | |||||||
\(84\) | 41.0166 | − | 424.629i | 0.0532772 | − | 0.551558i | ||||
\(85\) | −147.823 | + | 846.140i | −0.188631 | + | 1.07973i | ||||
\(86\) | 269.969 | − | 73.5582i | 0.338506 | − | 0.0922323i | ||||
\(87\) | −197.327 | + | 387.277i | −0.243169 | + | 0.477247i | ||||
\(88\) | 190.220 | − | 611.630i | 0.230427 | − | 0.740909i | ||||
\(89\) | 106.544 | + | 34.6182i | 0.126895 | + | 0.0412306i | 0.371776 | − | 0.928323i | \(-0.378749\pi\) |
−0.244881 | + | 0.969553i | \(0.578749\pi\) | |||||||
\(90\) | −382.327 | − | 85.9392i | −0.447787 | − | 0.100653i | ||||
\(91\) | 799.015 | − | 259.616i | 0.920435 | − | 0.299067i | ||||
\(92\) | 597.277 | − | 936.912i | 0.676852 | − | 1.06174i | ||||
\(93\) | −769.105 | − | 769.105i | −0.857554 | − | 0.857554i | ||||
\(94\) | 282.258 | − | 744.667i | 0.309709 | − | 0.817091i | ||||
\(95\) | −348.605 | + | 244.916i | −0.376486 | + | 0.264503i | ||||
\(96\) | −528.392 | + | 446.632i | −0.561758 | + | 0.474835i | ||||
\(97\) | 623.477 | − | 98.7490i | 0.652623 | − | 0.103365i | 0.178661 | − | 0.983911i | \(-0.442823\pi\) |
0.473962 | + | 0.880545i | \(0.342823\pi\) | |||||||
\(98\) | −208.250 | + | 364.235i | −0.214658 | + | 0.375441i | ||||
\(99\) | −350.785 | −0.356113 | ||||||||
\(100\) | 479.662 | + | 877.454i | 0.479662 | + | 0.877454i | ||||
\(101\) | −176.537 | −0.173921 | −0.0869607 | − | 0.996212i | \(-0.527715\pi\) | ||||
−0.0869607 | + | 0.996212i | \(0.527715\pi\) | |||||||
\(102\) | 412.234 | − | 721.007i | 0.400169 | − | 0.699905i | ||||
\(103\) | 770.418 | − | 122.022i | 0.737006 | − | 0.116730i | 0.223364 | − | 0.974735i | \(-0.428296\pi\) |
0.513642 | + | 0.858005i | \(0.328296\pi\) | |||||||
\(104\) | −1221.74 | − | 603.183i | −1.15193 | − | 0.568720i | ||||
\(105\) | 476.711 | + | 358.051i | 0.443069 | + | 0.332783i | ||||
\(106\) | −212.583 | + | 560.848i | −0.194791 | + | 0.513909i | ||||
\(107\) | −674.768 | − | 674.768i | −0.609648 | − | 0.609648i | 0.333206 | − | 0.942854i | \(-0.391870\pi\) |
−0.942854 | + | 0.333206i | \(0.891870\pi\) | |||||||
\(108\) | 1015.64 | + | 647.465i | 0.904906 | + | 0.576873i | ||||
\(109\) | 791.545 | − | 257.189i | 0.695562 | − | 0.226002i | 0.0601664 | − | 0.998188i | \(-0.480837\pi\) |
0.635396 | + | 0.772186i | \(0.280837\pi\) | |||||||
\(110\) | 591.181 | + | 672.178i | 0.512427 | + | 0.582634i | ||||
\(111\) | −118.716 | − | 38.5731i | −0.101514 | − | 0.0329837i | ||||
\(112\) | −858.493 | + | 245.607i | −0.724285 | + | 0.207212i | ||||
\(113\) | −273.887 | + | 537.534i | −0.228010 | + | 0.447495i | −0.976461 | − | 0.215696i | \(-0.930798\pi\) |
0.748451 | + | 0.663191i | \(0.230798\pi\) | |||||||
\(114\) | 397.453 | − | 108.294i | 0.326534 | − | 0.0889704i | ||||
\(115\) | 682.906 | + | 1394.58i | 0.553750 | + | 1.13083i | ||||
\(116\) | 905.560 | + | 87.4717i | 0.724820 | + | 0.0700133i | ||||
\(117\) | −116.729 | + | 737.000i | −0.0922361 | + | 0.582356i | ||||
\(118\) | −203.811 | + | 979.119i | −0.159003 | + | 0.763857i | ||||
\(119\) | 867.188 | − | 630.049i | 0.668025 | − | 0.485349i | ||||
\(120\) | −148.163 | − | 955.492i | −0.112711 | − | 0.726868i | ||||
\(121\) | −428.521 | − | 311.339i | −0.321954 | − | 0.233913i | ||||
\(122\) | −1950.37 | + | 1771.06i | −1.44737 | + | 1.31429i | ||||
\(123\) | −359.446 | − | 705.452i | −0.263497 | − | 0.517142i | ||||
\(124\) | −908.438 | + | 2087.54i | −0.657905 | + | 1.51183i | ||||
\(125\) | −1395.96 | − | 66.5416i | −0.998866 | − | 0.0476133i | ||||
\(126\) | 268.062 | + | 408.998i | 0.189531 | + | 0.289178i | ||||
\(127\) | −1822.88 | + | 928.802i | −1.27365 | + | 0.648960i | −0.954349 | − | 0.298692i | \(-0.903450\pi\) |
−0.319305 | + | 0.947652i | \(0.603450\pi\) | |||||||
\(128\) | 1274.94 | + | 686.789i | 0.880390 | + | 0.474251i | ||||
\(129\) | 222.246 | − | 305.896i | 0.151688 | − | 0.208780i | ||||
\(130\) | 1608.97 | − | 1018.39i | 1.08551 | − | 0.687070i | ||||
\(131\) | 921.631 | + | 1268.52i | 0.614682 | + | 0.846037i | 0.996952 | − | 0.0780138i | \(-0.0248578\pi\) |
−0.382271 | + | 0.924050i | \(0.624858\pi\) | |||||||
\(132\) | −316.980 | − | 805.414i | −0.209012 | − | 0.531078i | ||||
\(133\) | 525.115 | + | 83.1700i | 0.342355 | + | 0.0542237i | ||||
\(134\) | −1384.24 | − | 1111.31i | −0.892386 | − | 0.716437i | ||||
\(135\) | −1511.77 | + | 740.289i | −0.963793 | + | 0.471955i | ||||
\(136\) | −1720.30 | − | 250.228i | −1.08467 | − | 0.157771i | ||||
\(137\) | 907.364 | + | 462.325i | 0.565849 | + | 0.288315i | 0.713420 | − | 0.700737i | \(-0.247145\pi\) |
−0.147571 | + | 0.989052i | \(0.547145\pi\) | |||||||
\(138\) | −163.230 | − | 1492.53i | −0.100689 | − | 0.920671i | ||||
\(139\) | −978.687 | + | 3012.09i | −0.597203 | + | 1.83800i | −0.0537616 | + | 0.998554i | \(0.517121\pi\) |
−0.543441 | + | 0.839447i | \(0.682879\pi\) | |||||||
\(140\) | 331.958 | − | 1202.95i | 0.200397 | − | 0.726200i | ||||
\(141\) | −332.542 | − | 1023.46i | −0.198618 | − | 0.611282i | ||||
\(142\) | −523.573 | + | 235.757i | −0.309417 | + | 0.139326i | ||||
\(143\) | 1205.30 | − | 1205.30i | 0.704844 | − | 0.704844i | ||||
\(144\) | 151.798 | − | 778.420i | 0.0878459 | − | 0.450474i | ||||
\(145\) | −763.576 | + | 1016.63i | −0.437321 | + | 0.582252i | ||||
\(146\) | 2931.25 | + | 141.242i | 1.66159 | + | 0.0800633i | ||||
\(147\) | 88.6918 | + | 559.978i | 0.0497631 | + | 0.314192i | ||||
\(148\) | 15.8716 | + | 260.791i | 0.00881510 | + | 0.144844i | ||||
\(149\) | − | 1079.81i | − | 0.593700i | −0.954924 | − | 0.296850i | \(-0.904064\pi\) | ||
0.954924 | − | 0.296850i | \(-0.0959361\pi\) | |||||||
\(150\) | 1247.73 | + | 518.820i | 0.679180 | + | 0.282410i | ||||
\(151\) | − | 2678.13i | − | 1.44333i | −0.692242 | − | 0.721665i | \(-0.743377\pi\) | ||
0.692242 | − | 0.721665i | \(-0.256623\pi\) | |||||||
\(152\) | −515.588 | − | 691.109i | −0.275130 | − | 0.368792i | ||||
\(153\) | 148.931 | + | 940.316i | 0.0786954 | + | 0.496863i | ||||
\(154\) | 53.7644 | − | 1115.79i | 0.0281328 | − | 0.583852i | ||||
\(155\) | −1829.05 | − | 2603.42i | −0.947827 | − | 1.34911i | ||||
\(156\) | −1797.66 | + | 397.961i | −0.922613 | + | 0.204246i | ||||
\(157\) | 1599.55 | − | 1599.55i | 0.813107 | − | 0.813107i | −0.171992 | − | 0.985098i | \(-0.555020\pi\) |
0.985098 | + | 0.171992i | \(0.0550202\pi\) | |||||||
\(158\) | 694.236 | + | 1541.77i | 0.349560 | + | 0.776307i | ||||
\(159\) | 250.455 | + | 770.821i | 0.124920 | + | 0.384466i | ||||
\(160\) | −1747.44 | + | 1021.00i | −0.863422 | + | 0.504483i | ||||
\(161\) | 598.805 | − | 1842.93i | 0.293121 | − | 0.902133i | ||||
\(162\) | 677.214 | − | 74.0635i | 0.328438 | − | 0.0359196i | ||||
\(163\) | 112.980 | + | 57.5660i | 0.0542899 | + | 0.0276621i | 0.480925 | − | 0.876762i | \(-0.340301\pi\) |
−0.426635 | + | 0.904424i | \(0.640301\pi\) | |||||||
\(164\) | −1098.48 | + | 1240.85i | −0.523031 | + | 0.590819i | ||||
\(165\) | 1191.59 | + | 208.173i | 0.562212 | + | 0.0982197i | ||||
\(166\) | −2286.95 | + | 2848.61i | −1.06929 | + | 1.33190i | ||||
\(167\) | 426.317 | + | 67.5221i | 0.197542 | + | 0.0312875i | 0.254421 | − | 0.967094i | \(-0.418115\pi\) |
−0.0568795 | + | 0.998381i | \(0.518115\pi\) | |||||||
\(168\) | −696.843 | + | 985.062i | −0.320016 | + | 0.452376i | ||||
\(169\) | −839.898 | − | 1156.02i | −0.382293 | − | 0.526181i | ||||
\(170\) | 1550.85 | − | 1870.11i | 0.699675 | − | 0.843710i | ||||
\(171\) | −277.556 | + | 382.024i | −0.124124 | + | 0.170843i | ||||
\(172\) | −766.155 | − | 198.388i | −0.339644 | − | 0.0879475i | ||||
\(173\) | −827.654 | + | 421.711i | −0.363731 | + | 0.185330i | −0.626298 | − | 0.779584i | \(-0.715431\pi\) |
0.262568 | + | 0.964914i | \(0.415431\pi\) | |||||||
\(174\) | 1028.21 | − | 673.905i | 0.447981 | − | 0.293613i | ||||
\(175\) | 1193.43 | + | 1271.73i | 0.515513 | + | 0.549338i | ||||
\(176\) | −1325.73 | + | 1234.77i | −0.567787 | + | 0.528829i | ||||
\(177\) | 613.542 | + | 1204.14i | 0.260546 | + | 0.511351i | ||||
\(178\) | −213.011 | − | 234.578i | −0.0896956 | − | 0.0987771i | ||||
\(179\) | 2330.52 | + | 1693.22i | 0.973136 | + | 0.707025i | 0.956164 | − | 0.292831i | \(-0.0945974\pi\) |
0.0169719 | + | 0.999856i | \(0.494597\pi\) | |||||||
\(180\) | 818.127 | + | 747.760i | 0.338775 | + | 0.309637i | ||||
\(181\) | 2352.25 | − | 1709.01i | 0.965975 | − | 0.701822i | 0.0114439 | − | 0.999935i | \(-0.496357\pi\) |
0.954531 | + | 0.298113i | \(0.0963572\pi\) | |||||||
\(182\) | −2326.39 | − | 484.257i | −0.947493 | − | 0.197228i | ||||
\(183\) | −556.907 | + | 3516.17i | −0.224960 | + | 1.42034i | ||||
\(184\) | −2781.88 | + | 1462.01i | −1.11458 | + | 0.585765i | ||||
\(185\) | −322.670 | − | 170.915i | −0.128233 | − | 0.0679238i | ||||
\(186\) | 808.746 | + | 2968.21i | 0.318818 | + | 1.17011i | ||||
\(187\) | 987.337 | − | 1937.76i | 0.386103 | − | 0.757769i | ||||
\(188\) | −1738.49 | + | 1432.22i | −0.674427 | + | 0.555613i | ||||
\(189\) | 1997.79 | + | 649.121i | 0.768878 | + | 0.249823i | ||||
\(190\) | 1199.81 | − | 111.971i | 0.458122 | − | 0.0427540i | ||||
\(191\) | 1288.57 | − | 418.682i | 0.488156 | − | 0.158611i | −0.0545895 | − | 0.998509i | \(-0.517385\pi\) |
0.542745 | + | 0.839898i | \(0.317385\pi\) | |||||||
\(192\) | 1924.45 | − | 354.871i | 0.723359 | − | 0.133389i | ||||
\(193\) | −2607.18 | − | 2607.18i | −0.972376 | − | 0.972376i | 0.0272521 | − | 0.999629i | \(-0.491324\pi\) |
−0.999629 | + | 0.0272521i | \(0.991324\pi\) | |||||||
\(194\) | −1669.53 | − | 632.818i | −0.617863 | − | 0.234194i | ||||
\(195\) | 833.892 | − | 2434.25i | 0.306237 | − | 0.893952i | ||||
\(196\) | 1022.69 | − | 601.992i | 0.372699 | − | 0.219385i | ||||
\(197\) | 1172.85 | − | 185.762i | 0.424174 | − | 0.0671826i | 0.0593017 | − | 0.998240i | \(-0.481113\pi\) |
0.364872 | + | 0.931058i | \(0.381113\pi\) | |||||||
\(198\) | 861.326 | + | 492.461i | 0.309150 | + | 0.176756i | ||||
\(199\) | 4337.25 | 1.54502 | 0.772510 | − | 0.635002i | \(-0.219001\pi\) | ||||
0.772510 | + | 0.635002i | \(0.219001\pi\) | |||||||
\(200\) | 54.0691 | − | 2827.91i | 0.0191163 | − | 0.999817i | ||||
\(201\) | −2398.75 | −0.841763 | ||||||||
\(202\) | 433.473 | + | 247.837i | 0.150985 | + | 0.0863254i | ||||
\(203\) | 1567.13 | − | 248.208i | 0.541826 | − | 0.0858168i | ||||
\(204\) | −2024.42 | + | 1191.65i | −0.694792 | + | 0.408981i | ||||
\(205\) | −680.633 | − | 2213.77i | −0.231890 | − | 0.754225i | ||||
\(206\) | −2063.01 | − | 781.961i | −0.697751 | − | 0.264475i | ||||
\(207\) | 1216.99 | + | 1216.99i | 0.408631 | + | 0.408631i | ||||
\(208\) | 2153.09 | + | 3196.25i | 0.717739 | + | 1.06548i | ||||
\(209\) | 1025.90 | − | 333.334i | 0.339535 | − | 0.110322i | ||||
\(210\) | −667.866 | − | 1548.41i | −0.219463 | − | 0.508813i | ||||
\(211\) | −2033.45 | − | 660.708i | −0.663452 | − | 0.215569i | −0.0421159 | − | 0.999113i | \(-0.513410\pi\) |
−0.621336 | + | 0.783544i | \(0.713410\pi\) | |||||||
\(212\) | 1309.35 | − | 1078.68i | 0.424181 | − | 0.349452i | ||||
\(213\) | −352.261 | + | 691.351i | −0.113317 | + | 0.222397i | ||||
\(214\) | 709.547 | + | 2604.14i | 0.226653 | + | 0.831847i | ||||
\(215\) | 794.413 | − | 769.579i | 0.251993 | − | 0.244116i | ||||
\(216\) | −1584.86 | − | 3015.64i | −0.499241 | − | 0.949946i | ||||
\(217\) | −621.121 | + | 3921.60i | −0.194306 | + | 1.22680i | ||||
\(218\) | −2304.64 | − | 479.730i | −0.716010 | − | 0.149043i | ||||
\(219\) | 3208.23 | − | 2330.91i | 0.989917 | − | 0.719217i | ||||
\(220\) | −507.942 | − | 2480.43i | −0.155661 | − | 0.760140i | ||||
\(221\) | −3742.68 | − | 2719.22i | −1.13918 | − | 0.827666i | ||||
\(222\) | 237.346 | + | 261.376i | 0.0717549 | + | 0.0790200i | ||||
\(223\) | −1434.95 | − | 2816.25i | −0.430903 | − | 0.845694i | −0.999730 | − | 0.0232370i | \(-0.992603\pi\) |
0.568827 | − | 0.822457i | \(-0.307397\pi\) | |||||||
\(224\) | 2452.77 | + | 602.153i | 0.731618 | + | 0.179612i | ||||
\(225\) | −1487.63 | + | 431.651i | −0.440779 | + | 0.127897i | ||||
\(226\) | 1427.14 | − | 935.368i | 0.420054 | − | 0.275309i | ||||
\(227\) | −5300.48 | + | 2700.73i | −1.54980 | + | 0.789664i | −0.998989 | − | 0.0449648i | \(-0.985682\pi\) |
−0.550813 | + | 0.834628i | \(0.685682\pi\) | |||||||
\(228\) | −1127.95 | − | 292.071i | −0.327632 | − | 0.0848371i | ||||
\(229\) | 3613.90 | − | 4974.10i | 1.04285 | − | 1.43536i | 0.148006 | − | 0.988986i | \(-0.452714\pi\) |
0.894846 | − | 0.446376i | \(-0.147286\pi\) | |||||||
\(230\) | 281.005 | − | 4383.01i | 0.0805605 | − | 1.25655i | ||||
\(231\) | −887.274 | − | 1221.23i | −0.252720 | − | 0.347840i | ||||
\(232\) | −2100.74 | − | 1486.08i | −0.594483 | − | 0.420543i | ||||
\(233\) | 1877.33 | + | 297.340i | 0.527846 | + | 0.0836025i | 0.414669 | − | 0.909972i | \(-0.363897\pi\) |
0.113177 | + | 0.993575i | \(0.463897\pi\) | |||||||
\(234\) | 1321.28 | − | 1645.77i | 0.369123 | − | 0.459776i | ||||
\(235\) | −443.018 | − | 3116.58i | −0.122976 | − | 0.865121i | ||||
\(236\) | 1875.01 | − | 2118.03i | 0.517173 | − | 0.584202i | ||||
\(237\) | 2035.83 | + | 1037.31i | 0.557980 | + | 0.284305i | ||||
\(238\) | −3013.83 | + | 329.607i | −0.820830 | + | 0.0897700i | ||||
\(239\) | −1359.44 | + | 4183.92i | −0.367928 | + | 1.13237i | 0.580200 | + | 0.814474i | \(0.302975\pi\) |
−0.948127 | + | 0.317891i | \(0.897025\pi\) | |||||||
\(240\) | −977.597 | + | 2554.14i | −0.262932 | + | 0.686955i | ||||
\(241\) | 1066.33 | + | 3281.83i | 0.285015 | + | 0.877185i | 0.986394 | + | 0.164397i | \(0.0525677\pi\) |
−0.701380 | + | 0.712788i | \(0.747432\pi\) | |||||||
\(242\) | 615.118 | + | 1366.06i | 0.163394 | + | 0.362867i | ||||
\(243\) | −2223.49 | + | 2223.49i | −0.586983 | + | 0.586983i | ||||
\(244\) | 7275.35 | − | 1610.60i | 1.90884 | − | 0.422574i | ||||
\(245\) | −26.3307 | + | 1658.27i | −0.00686615 | + | 0.432420i | ||||
\(246\) | −107.780 | + | 2236.81i | −0.0279342 | + | 0.579730i | ||||
\(247\) | −358.952 | − | 2266.33i | −0.0924678 | − | 0.583819i | ||||
\(248\) | 5161.26 | − | 3850.46i | 1.32153 | − | 0.985904i | ||||
\(249\) | 4936.35i | 1.25634i | ||||||||
\(250\) | 3334.25 | + | 2123.15i | 0.843507 | + | 0.537119i | ||||
\(251\) | 1639.34i | 0.412247i | 0.978526 | + | 0.206123i | \(0.0660849\pi\) | ||||
−0.978526 | + | 0.206123i | \(0.933915\pi\) | |||||||
\(252\) | −84.0219 | − | 1380.59i | −0.0210035 | − | 0.345115i | ||||
\(253\) | −615.033 | − | 3883.16i | −0.152833 | − | 0.964951i | ||||
\(254\) | 5779.87 | + | 278.502i | 1.42780 | + | 0.0687983i | ||||
\(255\) | 52.1219 | − | 3282.56i | 0.0128000 | − | 0.806125i | ||||
\(256\) | −2166.35 | − | 3476.23i | −0.528894 | − | 0.848688i | ||||
\(257\) | −4512.55 | + | 4512.55i | −1.09527 | + | 1.09527i | −0.100316 | + | 0.994956i | \(0.531985\pi\) |
−0.994956 | + | 0.100316i | \(0.968015\pi\) | |||||||
\(258\) | −975.151 | + | 439.096i | −0.235311 | + | 0.105957i | ||||
\(259\) | 140.808 | + | 433.363i | 0.0337814 | + | 0.103969i | ||||
\(260\) | −5380.42 | + | 241.782i | −1.28338 | + | 0.0576720i | ||||
\(261\) | −435.476 | + | 1340.26i | −0.103277 | + | 0.317854i | ||||
\(262\) | −482.147 | − | 4408.61i | −0.113691 | − | 1.03956i | ||||
\(263\) | −4710.43 | − | 2400.08i | −1.10440 | − | 0.562720i | −0.195908 | − | 0.980622i | \(-0.562765\pi\) |
−0.908492 | + | 0.417902i | \(0.862765\pi\) | |||||||
\(264\) | −352.387 | + | 2422.64i | −0.0821511 | + | 0.564784i | ||||
\(265\) | 333.660 | + | 2347.26i | 0.0773455 | + | 0.544117i | ||||
\(266\) | −1172.62 | − | 941.417i | −0.270293 | − | 0.217000i | ||||
\(267\) | −422.901 | − | 66.9809i | −0.0969330 | − | 0.0153527i | ||||
\(268\) | 1838.74 | + | 4672.04i | 0.419100 | + | 1.06489i | ||||
\(269\) | −278.784 | − | 383.713i | −0.0631887 | − | 0.0869718i | 0.776253 | − | 0.630421i | \(-0.217118\pi\) |
−0.839442 | + | 0.543450i | \(0.817118\pi\) | |||||||
\(270\) | 4751.31 | + | 304.617i | 1.07095 | + | 0.0686608i | ||||
\(271\) | 936.181 | − | 1288.54i | 0.209849 | − | 0.288832i | −0.691099 | − | 0.722760i | \(-0.742873\pi\) |
0.900947 | + | 0.433929i | \(0.142873\pi\) | |||||||
\(272\) | 3872.78 | + | 3029.52i | 0.863315 | + | 0.675336i | ||||
\(273\) | −2861.06 | + | 1457.78i | −0.634282 | + | 0.323183i | ||||
\(274\) | −1578.91 | − | 2409.04i | −0.348123 | − | 0.531151i | ||||
\(275\) | 3328.85 | + | 1199.73i | 0.729954 | + | 0.263079i | ||||
\(276\) | −1694.54 | + | 3893.95i | −0.369562 | + | 0.849233i | ||||
\(277\) | −2624.64 | − | 5151.15i | −0.569313 | − | 1.11734i | −0.978761 | − | 0.205006i | \(-0.934279\pi\) |
0.409448 | − | 0.912333i | \(-0.365721\pi\) | |||||||
\(278\) | 6631.72 | − | 6022.00i | 1.43073 | − | 1.29919i | ||||
\(279\) | −2852.99 | − | 2072.82i | −0.612201 | − | 0.444790i | ||||
\(280\) | −2503.90 | + | 2487.73i | −0.534417 | + | 0.530965i | ||||
\(281\) | −1265.58 | + | 919.496i | −0.268676 | + | 0.195205i | −0.713963 | − | 0.700183i | \(-0.753102\pi\) |
0.445287 | + | 0.895388i | \(0.353102\pi\) | |||||||
\(282\) | −620.285 | + | 2979.88i | −0.130984 | + | 0.629252i | ||||
\(283\) | −1325.03 | + | 8365.93i | −0.278322 | + | 1.75725i | 0.311997 | + | 0.950083i | \(0.399002\pi\) |
−0.590319 | + | 0.807170i | \(0.700998\pi\) | |||||||
\(284\) | 1616.57 | + | 156.151i | 0.337767 | + | 0.0326262i | ||||
\(285\) | 1169.55 | − | 1132.99i | 0.243081 | − | 0.235482i | ||||
\(286\) | −4651.64 | + | 1267.43i | −0.961739 | + | 0.262044i | ||||
\(287\) | −1312.13 | + | 2575.20i | −0.269870 | + | 0.529649i | ||||
\(288\) | −1465.54 | + | 1698.24i | −0.299853 | + | 0.347465i | ||||
\(289\) | −941.014 | − | 305.754i | −0.191536 | − | 0.0622337i | ||||
\(290\) | 3302.13 | − | 1424.29i | 0.668648 | − | 0.288403i | ||||
\(291\) | −2294.58 | + | 745.554i | −0.462236 | + | 0.150190i | ||||
\(292\) | −6999.17 | − | 4461.93i | −1.40272 | − | 0.894229i | ||||
\(293\) | 6013.16 | + | 6013.16i | 1.19895 | + | 1.19895i | 0.974481 | + | 0.224468i | \(0.0720645\pi\) |
0.224468 | + | 0.974481i | \(0.427935\pi\) | |||||||
\(294\) | 568.368 | − | 1499.50i | 0.112748 | − | 0.297457i | ||||
\(295\) | 1161.78 | + | 3778.70i | 0.229293 | + | 0.745778i | ||||
\(296\) | 327.149 | − | 662.634i | 0.0642403 | − | 0.130118i | ||||
\(297\) | 4209.46 | − | 666.713i | 0.822416 | − | 0.130258i | ||||
\(298\) | −1515.92 | + | 2651.39i | −0.294682 | + | 0.515405i | ||||
\(299\) | −8363.19 | −1.61758 | ||||||||
\(300\) | −2335.35 | − | 3025.59i | −0.449439 | − | 0.582276i | ||||
\(301\) | −1380.25 | −0.264307 | ||||||||
\(302\) | −3759.78 | + | 6575.94i | −0.716394 | + | 1.25299i | ||||
\(303\) | 666.425 | − | 105.551i | 0.126354 | − | 0.0200124i | ||||
\(304\) | 295.751 | + | 2420.79i | 0.0557976 | + | 0.456717i | ||||
\(305\) | −3374.87 | + | 9851.76i | −0.633589 | + | 1.84954i | ||||
\(306\) | 954.404 | − | 2517.96i | 0.178300 | − | 0.470399i | ||||
\(307\) | 693.614 | + | 693.614i | 0.128947 | + | 0.128947i | 0.768635 | − | 0.639688i | \(-0.220936\pi\) |
−0.639688 | + | 0.768635i | \(0.720936\pi\) | |||||||
\(308\) | −1698.46 | + | 2664.27i | −0.314216 | + | 0.492892i | ||||
\(309\) | −2835.37 | + | 921.268i | −0.522002 | + | 0.169609i | ||||
\(310\) | 836.212 | + | 8960.27i | 0.153205 | + | 1.64164i | ||||
\(311\) | 4898.38 | + | 1591.58i | 0.893125 | + | 0.290194i | 0.719396 | − | 0.694600i | \(-0.244419\pi\) |
0.173728 | + | 0.984794i | \(0.444419\pi\) | |||||||
\(312\) | 4972.70 | + | 1546.54i | 0.902319 | + | 0.280626i | ||||
\(313\) | 1250.26 | − | 2453.78i | 0.225780 | − | 0.443118i | −0.750130 | − | 0.661290i | \(-0.770009\pi\) |
0.975910 | + | 0.218172i | \(0.0700093\pi\) | |||||||
\(314\) | −6173.15 | + | 1681.99i | −1.10946 | + | 0.302294i | ||||
\(315\) | 1708.17 | + | 904.800i | 0.305538 | + | 0.161840i | ||||
\(316\) | 459.819 | − | 4760.33i | 0.0818571 | − | 0.847434i | ||||
\(317\) | 249.709 | − | 1576.60i | 0.0442430 | − | 0.279340i | −0.955642 | − | 0.294532i | \(-0.904836\pi\) |
0.999885 | + | 0.0151927i | \(0.00483617\pi\) | |||||||
\(318\) | 467.169 | − | 2244.30i | 0.0823822 | − | 0.395768i | ||||
\(319\) | 2604.38 | − | 1892.19i | 0.457108 | − | 0.332108i | ||||
\(320\) | 5724.08 | − | 53.7872i | 0.999956 | − | 0.00939623i | ||||
\(321\) | 2950.69 | + | 2143.80i | 0.513058 | + | 0.372759i | ||||
\(322\) | −4057.58 | + | 3684.53i | −0.702236 | + | 0.637673i | ||||
\(323\) | −1329.10 | − | 2608.50i | −0.228957 | − | 0.449353i | ||||
\(324\) | −1766.83 | − | 768.872i | −0.302954 | − | 0.131837i | ||||
\(325\) | 3628.37 | − | 6594.69i | 0.619279 | − | 1.12556i | ||||
\(326\) | −196.597 | − | 299.959i | −0.0334003 | − | 0.0509607i | ||||
\(327\) | −2834.31 | + | 1444.15i | −0.479320 | + | 0.244226i | ||||
\(328\) | 4439.25 | − | 1504.68i | 0.747307 | − | 0.253299i | ||||
\(329\) | −2309.01 | + | 3178.08i | −0.386930 | + | 0.532563i | ||||
\(330\) | −2633.60 | − | 2184.00i | −0.439319 | − | 0.364320i | ||||
\(331\) | 1570.51 | + | 2161.62i | 0.260794 | + | 0.358953i | 0.919255 | − | 0.393662i | \(-0.128792\pi\) |
−0.658461 | + | 0.752615i | \(0.728792\pi\) | |||||||
\(332\) | 9614.56 | − | 3783.92i | 1.58936 | − | 0.625511i | ||||
\(333\) | −399.727 | − | 63.3105i | −0.0657805 | − | 0.0104186i | ||||
\(334\) | −951.998 | − | 764.295i | −0.155961 | − | 0.125211i | ||||
\(335\) | −6912.16 | − | 1207.57i | −1.12732 | − | 0.196945i | ||||
\(336\) | 3093.96 | − | 1440.46i | 0.502349 | − | 0.233880i | ||||
\(337\) | −1848.16 | − | 941.684i | −0.298741 | − | 0.152216i | 0.298195 | − | 0.954505i | \(-0.403615\pi\) |
−0.596936 | + | 0.802289i | \(0.703615\pi\) | |||||||
\(338\) | 439.389 | + | 4017.64i | 0.0707089 | + | 0.646541i | ||||
\(339\) | 712.531 | − | 2192.95i | 0.114158 | − | 0.351341i | ||||
\(340\) | −6433.41 | + | 2414.70i | −1.02618 | + | 0.385163i | ||||
\(341\) | 2489.37 | + | 7661.49i | 0.395328 | + | 1.21669i | ||||
\(342\) | 1217.84 | − | 548.374i | 0.192553 | − | 0.0867037i | ||||
\(343\) | 4847.37 | − | 4847.37i | 0.763070 | − | 0.763070i | ||||
\(344\) | 1602.72 | + | 1562.72i | 0.251201 | + | 0.244931i | ||||
\(345\) | −3411.79 | − | 4856.23i | −0.532419 | − | 0.757828i | ||||
\(346\) | 2624.28 | + | 126.450i | 0.407751 | + | 0.0196474i | ||||
\(347\) | −881.807 | − | 5567.51i | −0.136420 | − | 0.861325i | −0.957062 | − | 0.289882i | \(-0.906384\pi\) |
0.820642 | − | 0.571443i | \(-0.193616\pi\) | |||||||
\(348\) | −3470.79 | + | 211.230i | −0.534637 | + | 0.0325377i | ||||
\(349\) | − | 2536.49i | − | 0.389041i | −0.980898 | − | 0.194520i | \(-0.937685\pi\) | ||
0.980898 | − | 0.194520i | \(-0.0623150\pi\) | |||||||
\(350\) | −1145.01 | − | 4798.08i | −0.174867 | − | 0.732767i | ||||
\(351\) | − | 9065.94i | − | 1.37864i | ||||||
\(352\) | 4988.70 | − | 1170.71i | 0.755393 | − | 0.177269i | ||||
\(353\) | 255.399 | + | 1612.53i | 0.0385086 | + | 0.243134i | 0.999433 | − | 0.0336782i | \(-0.0107221\pi\) |
−0.960924 | + | 0.276812i | \(0.910722\pi\) | |||||||
\(354\) | 183.971 | − | 3818.03i | 0.0276214 | − | 0.573237i | ||||
\(355\) | −1363.10 | + | 1814.84i | −0.203792 | + | 0.271329i | ||||
\(356\) | 193.712 | + | 875.029i | 0.0288391 | + | 0.130271i | ||||
\(357\) | −2896.93 | + | 2896.93i | −0.429472 | + | 0.429472i | ||||
\(358\) | −3345.33 | − | 7429.36i | −0.493873 | − | 1.09680i | ||||
\(359\) | −2440.79 | − | 7511.99i | −0.358831 | − | 1.10437i | −0.953755 | − | 0.300585i | \(-0.902818\pi\) |
0.594924 | − | 0.803782i | \(-0.297182\pi\) | |||||||
\(360\) | −959.081 | − | 2984.62i | −0.140411 | − | 0.436954i | ||||
\(361\) | −1670.83 | + | 5142.29i | −0.243597 | + | 0.749714i | ||||
\(362\) | −8175.02 | + | 894.061i | −1.18693 | + | 0.129809i | ||||
\(363\) | 1803.81 | + | 919.089i | 0.260815 | + | 0.132892i | ||||
\(364\) | 5032.44 | + | 4455.04i | 0.724647 | + | 0.641504i | ||||
\(365\) | 10418.2 | − | 5101.62i | 1.49401 | − | 0.731592i | ||||
\(366\) | 6303.74 | − | 7851.87i | 0.900278 | − | 1.12138i | ||||
\(367\) | 10486.7 | + | 1660.93i | 1.49155 | + | 0.236239i | 0.848342 | − | 0.529449i | \(-0.177601\pi\) |
0.643213 | + | 0.765688i | \(0.277601\pi\) | |||||||
\(368\) | 8883.19 | + | 315.583i | 1.25834 | + | 0.0447035i | ||||
\(369\) | −1508.85 | − | 2076.76i | −0.212867 | − | 0.292986i | ||||
\(370\) | 552.347 | + | 872.659i | 0.0776086 | + | 0.122615i | ||||
\(371\) | 1739.04 | − | 2393.58i | 0.243359 | − | 0.334955i | ||||
\(372\) | 2181.21 | − | 8423.61i | 0.304007 | − | 1.17404i | ||||
\(373\) | 593.533 | − | 302.420i | 0.0823913 | − | 0.0419805i | −0.412309 | − | 0.911044i | \(-0.635278\pi\) |
0.494701 | + | 0.869063i | \(0.335278\pi\) | |||||||
\(374\) | −5144.72 | + | 3371.91i | −0.711302 | + | 0.466196i | ||||
\(375\) | 5309.52 | − | 583.450i | 0.731153 | − | 0.0803446i | ||||
\(376\) | 6279.39 | − | 1076.07i | 0.861263 | − | 0.147590i | ||||
\(377\) | −3108.85 | − | 6101.46i | −0.424705 | − | 0.833531i | ||||
\(378\) | −3994.13 | − | 4398.53i | −0.543482 | − | 0.598508i | ||||
\(379\) | −518.279 | − | 376.552i | −0.0702433 | − | 0.0510348i | 0.552109 | − | 0.833772i | \(-0.313823\pi\) |
−0.622353 | + | 0.782737i | \(0.713823\pi\) | |||||||
\(380\) | −3103.23 | − | 1409.45i | −0.418927 | − | 0.190272i | ||||
\(381\) | 6326.02 | − | 4596.13i | 0.850635 | − | 0.618023i | ||||
\(382\) | −3751.77 | − | 780.961i | −0.502506 | − | 0.104601i | ||||
\(383\) | −1532.02 | + | 9672.77i | −0.204393 | + | 1.29048i | 0.645594 | + | 0.763681i | \(0.276610\pi\) |
−0.849987 | + | 0.526804i | \(0.823390\pi\) | |||||||
\(384\) | −5223.53 | − | 1830.34i | −0.694172 | − | 0.243240i | ||||
\(385\) | −1941.96 | − | 3965.73i | −0.257069 | − | 0.524967i | ||||
\(386\) | 2741.55 | + | 10061.9i | 0.361506 | + | 1.32678i | ||||
\(387\) | 556.550 | − | 1092.29i | 0.0731034 | − | 0.143474i | ||||
\(388\) | 3211.01 | + | 3897.66i | 0.420140 | + | 0.509984i | ||||
\(389\) | −1471.55 | − | 478.134i | −0.191800 | − | 0.0623197i | 0.211542 | − | 0.977369i | \(-0.432152\pi\) |
−0.403342 | + | 0.915049i | \(0.632152\pi\) | |||||||
\(390\) | −5464.97 | + | 4806.44i | −0.709562 | + | 0.624061i | ||||
\(391\) | −10148.1 | + | 3297.32i | −1.31256 | + | 0.426478i | ||||
\(392\) | −3356.25 | + | 42.4143i | −0.432440 | + | 0.00546492i | ||||
\(393\) | −4237.60 | − | 4237.60i | −0.543915 | − | 0.543915i | ||||
\(394\) | −3140.64 | − | 1190.42i | −0.401582 | − | 0.152215i | ||||
\(395\) | 5344.19 | + | 4013.95i | 0.680748 | + | 0.511300i | ||||
\(396\) | −1423.56 | − | 2418.40i | −0.180648 | − | 0.306892i | ||||
\(397\) | −7603.56 | + | 1204.29i | −0.961239 | + | 0.152245i | −0.617284 | − | 0.786741i | \(-0.711767\pi\) |
−0.343955 | + | 0.938986i | \(0.611767\pi\) | |||||||
\(398\) | −10649.8 | − | 6088.99i | −1.34127 | − | 0.766867i | ||||
\(399\) | −2032.03 | −0.254960 | ||||||||
\(400\) | −4102.82 | + | 6867.81i | −0.512852 | + | 0.858477i | ||||
\(401\) | 7389.28 | 0.920207 | 0.460103 | − | 0.887865i | \(-0.347812\pi\) | ||||
0.460103 | + | 0.887865i | \(0.347812\pi\) | |||||||
\(402\) | 5889.94 | + | 3367.56i | 0.730755 | + | 0.417807i | ||||
\(403\) | 16925.2 | − | 2680.68i | 2.09207 | − | 0.331351i | ||||
\(404\) | −716.425 | − | 1217.09i | −0.0882265 | − | 0.149882i | ||||
\(405\) | 2203.45 | − | 1548.05i | 0.270346 | − | 0.189934i | ||||
\(406\) | −4196.41 | − | 1590.60i | −0.512967 | − | 0.194434i | ||||
\(407\) | 653.722 | + | 653.722i | 0.0796162 | + | 0.0796162i | ||||
\(408\) | 6643.74 | − | 83.9597i | 0.806163 | − | 0.0101878i | ||||
\(409\) | −7054.39 | + | 2292.11i | −0.852854 | + | 0.277109i | −0.702641 | − | 0.711545i | \(-0.747996\pi\) |
−0.150213 | + | 0.988654i | \(0.547996\pi\) | |||||||
\(410\) | −1436.62 | + | 6391.26i | −0.173048 | + | 0.769859i | ||||
\(411\) | −3701.72 | − | 1202.76i | −0.444264 | − | 0.144350i | ||||
\(412\) | 3967.78 | + | 4816.27i | 0.474463 | + | 0.575924i | ||||
\(413\) | 2239.69 | − | 4395.64i | 0.266847 | − | 0.523717i | ||||
\(414\) | −1279.71 | − | 4696.73i | −0.151919 | − | 0.557565i | ||||
\(415\) | −2485.05 | + | 14224.5i | −0.293943 | + | 1.68254i | ||||
\(416\) | −799.585 | − | 10870.8i | −0.0942377 | − | 1.28122i | ||||
\(417\) | 1893.61 | − | 11955.8i | 0.222375 | − | 1.40402i | ||||
\(418\) | −2986.97 | − | 621.762i | −0.349516 | − | 0.0727545i | ||||
\(419\) | −5517.81 | + | 4008.92i | −0.643348 | + | 0.467419i | −0.860999 | − | 0.508607i | \(-0.830161\pi\) |
0.217651 | + | 0.976027i | \(0.430161\pi\) | |||||||
\(420\) | −533.895 | + | 4739.62i | −0.0620272 | + | 0.550642i | ||||
\(421\) | −8816.13 | − | 6405.29i | −1.02060 | − | 0.741508i | −0.0541928 | − | 0.998530i | \(-0.517259\pi\) |
−0.966405 | + | 0.257022i | \(0.917259\pi\) | |||||||
\(422\) | 4065.42 | + | 4477.04i | 0.468962 | + | 0.516443i | ||||
\(423\) | −1583.99 | − | 3108.76i | −0.182072 | − | 0.357335i | ||||
\(424\) | −4729.34 | + | 810.442i | −0.541691 | + | 0.0928268i | ||||
\(425\) | 1802.69 | − | 9432.71i | 0.205749 | − | 1.07660i | ||||
\(426\) | 1835.53 | − | 1203.03i | 0.208759 | − | 0.136824i | ||||
\(427\) | 11579.1 | − | 5899.84i | 1.31230 | − | 0.668649i | ||||
\(428\) | 1913.67 | − | 7390.39i | 0.216123 | − | 0.834645i | ||||
\(429\) | −3829.37 | + | 5270.68i | −0.430964 | + | 0.593172i | ||||
\(430\) | −3031.02 | + | 774.381i | −0.339927 | + | 0.0868464i | ||||
\(431\) | 9794.07 | + | 13480.4i | 1.09458 | + | 1.50656i | 0.842379 | + | 0.538885i | \(0.181154\pi\) |
0.252201 | + | 0.967675i | \(0.418846\pi\) | |||||||
\(432\) | −342.101 | + | 9629.64i | −0.0381003 | + | 1.07247i | ||||
\(433\) | 16521.1 | + | 2616.69i | 1.83362 | + | 0.290416i | 0.975000 | − | 0.222205i | \(-0.0713254\pi\) |
0.858615 | + | 0.512621i | \(0.171325\pi\) | |||||||
\(434\) | 7030.59 | − | 8757.23i | 0.777602 | − | 0.968572i | ||||
\(435\) | 2274.65 | − | 4294.32i | 0.250716 | − | 0.473326i | ||||
\(436\) | 4985.39 | + | 4413.39i | 0.547608 | + | 0.484778i | ||||
\(437\) | −4715.62 | − | 2402.73i | −0.516198 | − | 0.263016i | ||||
\(438\) | −11149.9 | + | 1219.41i | −1.21635 | + | 0.133026i | ||||
\(439\) | 1185.63 | − | 3648.98i | 0.128899 | − | 0.396712i | −0.865692 | − | 0.500577i | \(-0.833121\pi\) |
0.994591 | + | 0.103865i | \(0.0331211\pi\) | |||||||
\(440\) | −2235.03 | + | 6803.61i | −0.242161 | + | 0.737158i | ||||
\(441\) | 568.035 | + | 1748.23i | 0.0613363 | + | 0.188774i | ||||
\(442\) | 5372.41 | + | 11931.1i | 0.578143 | + | 1.28395i | ||||
\(443\) | 4764.45 | − | 4764.45i | 0.510984 | − | 0.510984i | −0.403844 | − | 0.914828i | \(-0.632326\pi\) |
0.914828 | + | 0.403844i | \(0.132326\pi\) | |||||||
\(444\) | −215.842 | − | 974.996i | −0.0230708 | − | 0.104215i | ||||
\(445\) | −1184.90 | − | 405.906i | −0.126224 | − | 0.0432400i | ||||
\(446\) | −430.271 | + | 8929.58i | −0.0456814 | + | 0.948044i | ||||
\(447\) | 645.618 | + | 4076.27i | 0.0683147 | + | 0.431322i | ||||
\(448\) | −5177.24 | − | 4921.94i | −0.545985 | − | 0.519062i | ||||
\(449\) | 3524.36i | 0.370434i | 0.982698 | + | 0.185217i | \(0.0592987\pi\) | ||||
−0.982698 | + | 0.185217i | \(0.940701\pi\) | |||||||
\(450\) | 4258.75 | + | 1028.57i | 0.446132 | + | 0.107750i | ||||
\(451\) | 5863.99i | 0.612249i | ||||||||
\(452\) | −4817.39 | + | 293.183i | −0.501308 | + | 0.0305093i | ||||
\(453\) | 1601.26 | + | 10109.9i | 0.166078 | + | 1.04858i | ||||
\(454\) | 16806.4 | + | 809.816i | 1.73737 | + | 0.0837148i | ||||
\(455\) | −8978.22 | + | 2760.40i | −0.925067 | + | 0.284417i | ||||
\(456\) | 2359.56 | + | 2300.66i | 0.242317 | + | 0.236269i | ||||
\(457\) | 9517.82 | − | 9517.82i | 0.974234 | − | 0.974234i | −0.0254421 | − | 0.999676i | \(-0.508099\pi\) |
0.999676 | + | 0.0254421i | \(0.00809934\pi\) | |||||||
\(458\) | −15856.7 | + | 7140.05i | −1.61776 | + | 0.728455i | ||||
\(459\) | −3574.39 | − | 11000.8i | −0.363482 | − | 1.11868i | ||||
\(460\) | −6843.22 | + | 10367.7i | −0.693623 | + | 1.05086i | ||||
\(461\) | 663.320 | − | 2041.49i | 0.0670150 | − | 0.206251i | −0.911941 | − | 0.410320i | \(-0.865417\pi\) |
0.978956 | + | 0.204070i | \(0.0654169\pi\) | |||||||
\(462\) | 464.174 | + | 4244.26i | 0.0467431 | + | 0.427405i | ||||
\(463\) | −5808.10 | − | 2959.37i | −0.582992 | − | 0.297049i | 0.137512 | − | 0.990500i | \(-0.456089\pi\) |
−0.720504 | + | 0.693451i | \(0.756089\pi\) | |||||||
\(464\) | 3071.91 | + | 6598.15i | 0.307349 | + | 0.660154i | ||||
\(465\) | 8461.26 | + | 8734.29i | 0.843831 | + | 0.871061i | ||||
\(466\) | −4192.21 | − | 3365.65i | −0.416739 | − | 0.334572i | ||||
\(467\) | −7577.54 | − | 1200.16i | −0.750850 | − | 0.118923i | −0.230732 | − | 0.973017i | \(-0.574112\pi\) |
−0.520118 | + | 0.854094i | \(0.674112\pi\) | |||||||
\(468\) | −5554.78 | + | 2186.15i | −0.548653 | + | 0.215929i | ||||
\(469\) | 5146.90 | + | 7084.10i | 0.506742 | + | 0.697470i | ||||
\(470\) | −3287.52 | + | 8274.48i | −0.322643 | + | 0.812071i | ||||
\(471\) | −5081.92 | + | 6994.66i | −0.497160 | + | 0.684282i | ||||
\(472\) | −7577.41 | + | 2568.35i | −0.738938 | + | 0.250462i | ||||
\(473\) | −2495.19 | + | 1271.36i | −0.242556 | + | 0.123588i | ||||
\(474\) | −3542.57 | − | 5405.09i | −0.343281 | − | 0.523764i | ||||
\(475\) | 3940.51 | − | 2676.02i | 0.380638 | − | 0.258493i | ||||
\(476\) | 7862.96 | + | 3421.74i | 0.757139 | + | 0.329486i | ||||
\(477\) | 1192.99 | + | 2341.37i | 0.114514 | + | 0.224746i | ||||
\(478\) | 9211.73 | − | 8364.81i | 0.881454 | − | 0.800413i | ||||
\(479\) | 8650.85 | + | 6285.21i | 0.825193 | + | 0.599538i | 0.918195 | − | 0.396128i | \(-0.129646\pi\) |
−0.0930025 | + | 0.995666i | \(0.529646\pi\) | |||||||
\(480\) | 5986.13 | − | 4899.08i | 0.569226 | − | 0.465857i | ||||
\(481\) | 1591.01 | − | 1155.93i | 0.150818 | − | 0.109576i | ||||
\(482\) | 1989.01 | − | 9555.30i | 0.187961 | − | 0.902971i | ||||
\(483\) | −1158.60 | + | 7315.09i | −0.109147 | + | 0.689126i | ||||
\(484\) | 407.416 | − | 4217.81i | 0.0382622 | − | 0.396113i | ||||
\(485\) | −6987.33 | + | 993.239i | −0.654182 | + | 0.0929910i | ||||
\(486\) | 8581.13 | − | 2338.09i | 0.800922 | − | 0.218226i | ||||
\(487\) | 5445.87 | − | 10688.1i | 0.506727 | − | 0.994508i | −0.485982 | − | 0.873969i | \(-0.661538\pi\) |
0.992709 | − | 0.120539i | \(-0.0384622\pi\) | |||||||
\(488\) | −20125.2 | − | 6259.04i | −1.86685 | − | 0.580601i | ||||
\(489\) | −460.917 | − | 149.761i | −0.0426245 | − | 0.0138495i | ||||
\(490\) | 2392.67 | − | 4034.79i | 0.220591 | − | 0.371986i | ||||
\(491\) | −7478.24 | + | 2429.83i | −0.687349 | + | 0.223333i | −0.631810 | − | 0.775123i | \(-0.717688\pi\) |
−0.0555390 | + | 0.998457i | \(0.517688\pi\) | |||||||
\(492\) | 3404.86 | − | 5341.00i | 0.311998 | − | 0.489412i | ||||
\(493\) | −6177.96 | − | 6177.96i | −0.564384 | − | 0.564384i | ||||
\(494\) | −2300.29 | + | 6068.73i | −0.209504 | + | 0.552723i | ||||
\(495\) | 3921.40 | + | 62.2657i | 0.356068 | + | 0.00565381i | ||||
\(496\) | −18078.7 | + | 2208.69i | −1.63661 | + | 0.199946i | ||||
\(497\) | 2797.57 | − | 443.091i | 0.252491 | − | 0.0399907i | ||||
\(498\) | 6930.07 | − | 12120.8i | 0.623582 | − | 1.09066i | ||||
\(499\) | −9889.71 | −0.887223 | −0.443611 | − | 0.896219i | \(-0.646303\pi\) | ||||
−0.443611 | + | 0.896219i | \(0.646303\pi\) | |||||||
\(500\) | −5206.35 | − | 9894.13i | −0.465670 | − | 0.884958i | ||||
\(501\) | −1649.72 | −0.147114 | ||||||||
\(502\) | 2301.44 | − | 4025.27i | 0.204618 | − | 0.357881i | ||||
\(503\) | −11824.3 | + | 1872.78i | −1.04815 | + | 0.166010i | −0.656671 | − | 0.754177i | \(-0.728036\pi\) |
−0.391478 | + | 0.920188i | \(0.628036\pi\) | |||||||
\(504\) | −1731.88 | + | 3507.90i | −0.153064 | + | 0.310028i | ||||
\(505\) | 1973.49 | + | 31.3359i | 0.173899 | + | 0.00276125i | ||||
\(506\) | −3941.34 | + | 10398.3i | −0.346273 | + | 0.913555i | ||||
\(507\) | 3861.80 | + | 3861.80i | 0.338281 | + | 0.338281i | ||||
\(508\) | −13801.0 | − | 8798.10i | −1.20536 | − | 0.768411i | ||||
\(509\) | −7348.80 | + | 2387.77i | −0.639941 | + | 0.207929i | −0.610974 | − | 0.791651i | \(-0.709222\pi\) |
−0.0289673 | + | 0.999580i | \(0.509222\pi\) | |||||||
\(510\) | −4736.31 | + | 7986.91i | −0.411230 | + | 0.693463i | ||||
\(511\) | −13767.6 | − | 4473.35i | −1.19186 | − | 0.387259i | ||||
\(512\) | 439.093 | + | 11576.9i | 0.0379011 | + | 0.999281i | ||||
\(513\) | 2604.62 | − | 5111.86i | 0.224166 | − | 0.439950i | ||||
\(514\) | 17415.3 | − | 4745.13i | 1.49447 | − | 0.407196i | ||||
\(515\) | −8634.11 | + | 1227.33i | −0.738766 | + | 0.105015i | ||||
\(516\) | 3010.85 | + | 290.830i | 0.256871 | + | 0.0248122i | ||||
\(517\) | −1246.82 | + | 7872.09i | −0.106064 | + | 0.669660i | ||||
\(518\) | 262.647 | − | 1261.77i | 0.0222781 | − | 0.107025i | ||||
\(519\) | 2872.25 | − | 2086.81i | 0.242925 | − | 0.176495i | ||||
\(520\) | 13550.6 | + | 6959.80i | 1.14276 | + | 0.586937i | ||||
\(521\) | 7843.16 | + | 5698.39i | 0.659530 | + | 0.479177i | 0.866504 | − | 0.499170i | \(-0.166362\pi\) |
−0.206974 | + | 0.978346i | \(0.566362\pi\) | |||||||
\(522\) | 2950.85 | − | 2679.55i | 0.247423 | − | 0.224675i | ||||
\(523\) | −4919.57 | − | 9655.20i | −0.411315 | − | 0.807252i | 0.588684 | − | 0.808363i | \(-0.299646\pi\) |
−0.999999 | + | 0.00111158i | \(0.999646\pi\) | |||||||
\(524\) | −5005.30 | + | 11501.9i | −0.417285 | + | 0.958898i | ||||
\(525\) | −5265.56 | − | 4087.24i | −0.437730 | − | 0.339775i | ||||
\(526\) | 8196.66 | + | 12506.1i | 0.679451 | + | 1.03668i | ||||
\(527\) | 19480.5 | − | 9925.83i | 1.61022 | − | 0.820448i | ||||
\(528\) | 4266.36 | − | 5453.89i | 0.351646 | − | 0.449527i | ||||
\(529\) | −4186.64 | + | 5762.41i | −0.344098 | + | 0.473610i | ||||
\(530\) | 2476.00 | − | 6231.94i | 0.202926 | − | 0.510751i | ||||
\(531\) | 2575.48 | + | 3544.84i | 0.210483 | + | 0.289705i | ||||
\(532\) | 1557.64 | + | 3957.80i | 0.126940 | + | 0.322542i | ||||
\(533\) | 12320.2 | + | 1951.33i | 1.00122 | + | 0.158577i | ||||
\(534\) | 944.368 | + | 758.170i | 0.0765296 | + | 0.0614405i | ||||
\(535\) | 7423.42 | + | 7662.96i | 0.599892 | + | 0.619250i | ||||
\(536\) | 2044.12 | − | 14053.2i | 0.164725 | − | 1.13248i | ||||
\(537\) | −9810.09 | − | 4998.49i | −0.788337 | − | 0.401678i | ||||
\(538\) | 145.845 | + | 1333.56i | 0.0116874 | + | 0.106866i | ||||
\(539\) | 1297.60 | − | 3993.59i | 0.103695 | − | 0.319139i | ||||
\(540\) | −11238.8 | − | 7418.24i | −0.895634 | − | 0.591167i | ||||
\(541\) | 6659.78 | + | 20496.7i | 0.529254 | + | 1.62888i | 0.755748 | + | 0.654863i | \(0.227274\pi\) |
−0.226494 | + | 0.974013i | \(0.572726\pi\) | |||||||
\(542\) | −4107.69 | + | 1849.63i | −0.325535 | + | 0.146584i | ||||
\(543\) | −7857.92 | + | 7857.92i | −0.621023 | + | 0.621023i | ||||
\(544\) | −5256.23 | − | 12875.7i | −0.414263 | − | 1.01478i | ||||
\(545\) | −8894.28 | + | 2734.59i | −0.699063 | + | 0.214930i | ||||
\(546\) | 9071.66 | + | 437.117i | 0.711047 | + | 0.0342617i | ||||
\(547\) | −2170.74 | − | 13705.5i | −0.169678 | − | 1.07131i | −0.914660 | − | 0.404223i | \(-0.867542\pi\) |
0.744982 | − | 0.667085i | \(-0.232458\pi\) | |||||||
\(548\) | 494.897 | + | 8131.82i | 0.0385784 | + | 0.633895i | ||||
\(549\) | 11542.3i | 0.897291i | ||||||||
\(550\) | −6489.46 | − | 7619.17i | −0.503112 | − | 0.590696i | ||||
\(551\) | − | 4333.50i | − | 0.335051i | ||||||
\(552\) | 9627.46 | − | 7182.37i | 0.742341 | − | 0.553808i | ||||
\(553\) | −1304.77 | − | 8238.02i | −0.100334 | − | 0.633484i | ||||
\(554\) | −787.002 | + | 16333.0i | −0.0603547 | + | 1.25257i | ||||
\(555\) | 1320.27 | + | 452.278i | 0.100977 | + | 0.0345913i | ||||
\(556\) | −24737.9 | + | 5476.41i | −1.88690 | + | 0.417719i | ||||
\(557\) | −1485.68 | + | 1485.68i | −0.113017 | + | 0.113017i | −0.761354 | − | 0.648337i | \(-0.775465\pi\) |
0.648337 | + | 0.761354i | \(0.275465\pi\) | |||||||
\(558\) | 4095.31 | + | 9094.91i | 0.310696 | + | 0.689997i | ||||
\(559\) | 1840.82 | + | 5665.45i | 0.139281 | + | 0.428664i | ||||
\(560\) | 9640.63 | − | 2593.24i | 0.727484 | − | 0.195687i | ||||
\(561\) | −2568.61 | + | 7905.36i | −0.193310 | + | 0.594946i | ||||
\(562\) | 4398.39 | − | 481.030i | 0.330134 | − | 0.0361050i | ||||
\(563\) | 7558.47 | + | 3851.23i | 0.565811 | + | 0.288295i | 0.713404 | − | 0.700753i | \(-0.247153\pi\) |
−0.147593 | + | 0.989048i | \(0.547153\pi\) | |||||||
\(564\) | 5706.46 | − | 6446.06i | 0.426038 | − | 0.481255i | ||||
\(565\) | 3157.18 | − | 5960.44i | 0.235086 | − | 0.443819i | ||||
\(566\) | 14998.3 | − | 18681.7i | 1.11383 | − | 1.38737i | ||||
\(567\) | −3319.12 | − | 525.697i | −0.245837 | − | 0.0389368i | ||||
\(568\) | −3750.15 | − | 2652.89i | −0.277029 | − | 0.195973i | ||||
\(569\) | −15089.3 | − | 20768.7i | −1.11174 | − | 1.53017i | −0.818834 | − | 0.574030i | \(-0.805379\pi\) |
−0.292902 | − | 0.956143i | \(-0.594621\pi\) | |||||||
\(570\) | −4462.32 | + | 1140.06i | −0.327905 | + | 0.0837750i | ||||
\(571\) | −1507.03 | + | 2074.25i | −0.110450 | + | 0.152022i | −0.860664 | − | 0.509174i | \(-0.829951\pi\) |
0.750213 | + | 0.661196i | \(0.229951\pi\) | |||||||
\(572\) | 13201.1 | + | 3418.29i | 0.964974 | + | 0.249870i | ||||
\(573\) | −4614.02 | + | 2350.96i | −0.336394 | + | 0.171401i | ||||
\(574\) | 6837.11 | − | 4481.13i | 0.497170 | − | 0.325852i | ||||
\(575\) | −7386.61 | − | 15711.1i | −0.535727 | − | 1.13948i | ||||
\(576\) | 5982.66 | − | 2112.47i | 0.432773 | − | 0.152812i | ||||
\(577\) | 4984.65 | + | 9782.92i | 0.359642 | + | 0.705838i | 0.997954 | − | 0.0639405i | \(-0.0203668\pi\) |
−0.638311 | + | 0.769778i | \(0.720367\pi\) | |||||||
\(578\) | 1881.35 | + | 2071.83i | 0.135387 | + | 0.149095i | ||||
\(579\) | 11400.9 | + | 8283.25i | 0.818318 | + | 0.594543i | ||||
\(580\) | −10107.7 | − | 1138.58i | −0.723617 | − | 0.0815120i | ||||
\(581\) | 14578.3 | − | 10591.8i | 1.04098 | − | 0.756317i | ||||
\(582\) | 6680.84 | + | 1390.67i | 0.475824 | + | 0.0990466i | ||||
\(583\) | 939.043 | − | 5928.89i | 0.0667087 | − | 0.421182i | ||||
\(584\) | 10921.9 | + | 20782.0i | 0.773889 | + | 1.47254i | ||||
\(585\) | 1435.73 | − | 8218.15i | 0.101470 | − | 0.580818i | ||||
\(586\) | −6323.08 | − | 23206.6i | −0.445741 | − | 1.63593i | ||||
\(587\) | −3353.85 | + | 6582.31i | −0.235823 | + | 0.462829i | −0.978342 | − | 0.206996i | \(-0.933631\pi\) |
0.742518 | + | 0.669826i | \(0.233631\pi\) | |||||||
\(588\) | −3500.70 | + | 2883.98i | −0.245521 | + | 0.202268i | ||||
\(589\) | 10313.5 | + | 3351.05i | 0.721493 | + | 0.234427i | ||||
\(590\) | 2452.19 | − | 10909.3i | 0.171110 | − | 0.761237i | ||||
\(591\) | −4316.45 | + | 1402.50i | −0.300431 | + | 0.0976161i | ||||
\(592\) | −1733.55 | + | 1167.77i | −0.120352 | + | 0.0810728i | ||||
\(593\) | 2773.40 | + | 2773.40i | 0.192057 | + | 0.192057i | 0.796585 | − | 0.604527i | \(-0.206638\pi\) |
−0.604527 | + | 0.796585i | \(0.706638\pi\) | |||||||
\(594\) | −11272.0 | − | 4272.53i | −0.778613 | − | 0.295124i | ||||
\(595\) | −9806.07 | + | 6889.34i | −0.675647 | + | 0.474682i | ||||
\(596\) | 7444.47 | − | 4382.10i | 0.511640 | − | 0.301171i | ||||
\(597\) | −16373.1 | + | 2593.24i | −1.12246 | + | 0.177779i | ||||
\(598\) | 20535.2 | + | 11740.9i | 1.40426 | + | 0.802881i | ||||
\(599\) | −8194.34 | −0.558951 | −0.279475 | − | 0.960153i | \(-0.590161\pi\) | ||||
−0.279475 | + | 0.960153i | \(0.590161\pi\) | |||||||
\(600\) | 1486.70 | + | 10707.7i | 0.101157 | + | 0.728565i | ||||
\(601\) | −24151.7 | −1.63921 | −0.819606 | − | 0.572927i | \(-0.805808\pi\) | ||||
−0.819606 | + | 0.572927i | \(0.805808\pi\) | |||||||
\(602\) | 3389.11 | + | 1937.72i | 0.229452 | + | 0.131188i | ||||
\(603\) | −7681.49 | + | 1216.63i | −0.518764 | + | 0.0821641i | ||||
\(604\) | 18463.7 | − | 10868.4i | 1.24384 | − | 0.732170i | ||||
\(605\) | 4735.14 | + | 3556.50i | 0.318200 | + | 0.238995i | ||||
\(606\) | −1784.54 | − | 676.410i | −0.119624 | − | 0.0453420i | ||||
\(607\) | −6712.86 | − | 6712.86i | −0.448874 | − | 0.448874i | 0.446106 | − | 0.894980i | \(-0.352810\pi\) |
−0.894980 | + | 0.446106i | \(0.852810\pi\) | |||||||
\(608\) | 2672.31 | − | 6359.27i | 0.178251 | − | 0.424182i | ||||
\(609\) | −5767.49 | + | 1873.97i | −0.383761 | + | 0.124692i | ||||
\(610\) | 22117.5 | − | 19452.3i | 1.46805 | − | 1.29115i | ||||
\(611\) | 16124.4 | + | 5239.13i | 1.06763 | + | 0.346894i | ||||
\(612\) | −5878.39 | + | 4842.79i | −0.388268 | + | 0.319866i | ||||
\(613\) | −8848.40 | + | 17366.0i | −0.583008 | + | 1.14422i | 0.391566 | + | 0.920150i | \(0.371933\pi\) |
−0.974574 | + | 0.224067i | \(0.928067\pi\) | |||||||
\(614\) | −729.364 | − | 2676.87i | −0.0479393 | − | 0.175944i | ||||
\(615\) | 3893.00 | + | 7950.01i | 0.255254 | + | 0.521261i | ||||
\(616\) | 7910.76 | − | 4157.48i | 0.517425 | − | 0.271931i | ||||
\(617\) | −602.427 | + | 3803.58i | −0.0393076 | + | 0.248179i | −0.999516 | − | 0.0311056i | \(-0.990097\pi\) |
0.960208 | + | 0.279284i | \(0.0900972\pi\) | |||||||
\(618\) | 8255.39 | + | 1718.43i | 0.537347 | + | 0.111853i | ||||
\(619\) | −5012.29 | + | 3641.64i | −0.325462 | + | 0.236462i | −0.738503 | − | 0.674251i | \(-0.764467\pi\) |
0.413041 | + | 0.910713i | \(0.364467\pi\) | |||||||
\(620\) | 10525.9 | − | 23175.2i | 0.681824 | − | 1.50119i | ||||
\(621\) | −16917.0 | − | 12291.0i | −1.09317 | − | 0.794233i | ||||
\(622\) | −9793.22 | − | 10784.8i | −0.631306 | − | 0.695224i | ||||
\(623\) | 709.592 | + | 1392.65i | 0.0456327 | + | 0.0895593i | ||||
\(624\) | −10038.9 | − | 10778.5i | −0.644037 | − | 0.691482i | ||||
\(625\) | 15593.5 | + | 991.652i | 0.997984 | + | 0.0634657i | ||||
\(626\) | −6514.75 | + | 4269.85i | −0.415946 | + | 0.272616i | ||||
\(627\) | −3673.46 | + | 1871.72i | −0.233977 | + | 0.119217i | ||||
\(628\) | 17519.0 | + | 4536.37i | 1.11319 | + | 0.288250i | ||||
\(629\) | 1474.82 | − | 2029.92i | 0.0934897 | − | 0.128678i | ||||
\(630\) | −2924.05 | − | 4619.74i | −0.184916 | − | 0.292151i | ||||
\(631\) | −8685.17 | − | 11954.1i | −0.547942 | − | 0.754177i | 0.441789 | − | 0.897119i | \(-0.354344\pi\) |
−0.989731 | + | 0.142942i | \(0.954344\pi\) | |||||||
\(632\) | −7811.99 | + | 11043.1i | −0.491684 | + | 0.695048i | ||||
\(633\) | 8071.30 | + | 1278.37i | 0.506802 | + | 0.0802695i | ||||
\(634\) | −2826.50 | + | 3520.66i | −0.177058 | + | 0.220541i | ||||
\(635\) | 20542.7 | − | 10059.4i | 1.28380 | − | 0.628657i | ||||
\(636\) | −4297.84 | + | 4854.86i | −0.267956 | + | 0.302685i | ||||
\(637\) | −7958.74 | − | 4055.18i | −0.495034 | − | 0.252233i | ||||
\(638\) | −9051.28 | + | 989.893i | −0.561667 | + | 0.0614267i | ||||
\(639\) | −777.395 | + | 2392.57i | −0.0481272 | + | 0.148120i | ||||
\(640\) | −14130.6 | − | 7903.87i | −0.872749 | − | 0.488169i | ||||
\(641\) | 6271.70 | + | 19302.3i | 0.386455 | + | 1.18938i | 0.935420 | + | 0.353540i | \(0.115022\pi\) |
−0.548965 | + | 0.835845i | \(0.684978\pi\) | |||||||
\(642\) | −4235.56 | − | 9406.38i | −0.260380 | − | 0.578256i | ||||
\(643\) | 4518.81 | − | 4518.81i | 0.277145 | − | 0.277145i | −0.554823 | − | 0.831968i | \(-0.687214\pi\) |
0.831968 | + | 0.554823i | \(0.187214\pi\) | |||||||
\(644\) | 15135.7 | − | 3350.71i | 0.926136 | − | 0.205026i | ||||
\(645\) | −2538.77 | + | 3380.14i | −0.154983 | + | 0.206346i | ||||
\(646\) | −398.531 | + | 8270.88i | −0.0242725 | + | 0.503736i | ||||
\(647\) | 2925.50 | + | 18470.9i | 0.177764 | + | 1.12236i | 0.901659 | + | 0.432448i | \(0.142350\pi\) |
−0.723895 | + | 0.689910i | \(0.757650\pi\) | |||||||
\(648\) | 3258.90 | + | 4368.32i | 0.197564 | + | 0.264821i | ||||
\(649\) | − | 10009.3i | − | 0.605392i | ||||||
\(650\) | −18167.4 | + | 11099.0i | −1.09628 | + | 0.669750i | ||||
\(651\) | − | 15175.4i | − | 0.913627i | ||||||
\(652\) | 61.6217 | + | 1012.53i | 0.00370137 | + | 0.0608184i | ||||
\(653\) | 2024.60 | + | 12782.8i | 0.121330 | + | 0.766049i | 0.971061 | + | 0.238832i | \(0.0767644\pi\) |
−0.849731 | + | 0.527217i | \(0.823236\pi\) | |||||||
\(654\) | 8986.85 | + | 433.030i | 0.537330 | + | 0.0258912i | ||||
\(655\) | −10077.7 | − | 14344.3i | −0.601172 | − | 0.855689i | ||||
\(656\) | −13012.6 | − | 2537.56i | −0.774479 | − | 0.151029i | ||||
\(657\) | 9091.47 | − | 9091.47i | 0.539866 | − | 0.539866i | ||||
\(658\) | 10131.3 | − | 4561.96i | 0.600239 | − | 0.270279i | ||||
\(659\) | −4855.60 | − | 14944.0i | −0.287022 | − | 0.883362i | −0.985785 | − | 0.168009i | \(-0.946266\pi\) |
0.698764 | − | 0.715352i | \(-0.253734\pi\) | |||||||
\(660\) | 3400.53 | + | 9059.93i | 0.200554 | + | 0.534329i | ||||
\(661\) | −1792.22 | + | 5515.89i | −0.105460 | + | 0.324574i | −0.989838 | − | 0.142198i | \(-0.954583\pi\) |
0.884378 | + | 0.466772i | \(0.154583\pi\) | |||||||
\(662\) | −821.605 | − | 7512.51i | −0.0482365 | − | 0.441060i | ||||
\(663\) | 15754.4 | + | 8027.28i | 0.922852 | + | 0.470217i | ||||
\(664\) | −28920.0 | − | 4206.58i | −1.69023 | − | 0.245854i | ||||
\(665\) | −5855.46 | − | 1022.96i | −0.341451 | − | 0.0596523i | ||||
\(666\) | 892.619 | + | 716.624i | 0.0519344 | + | 0.0416946i | ||||
\(667\) | −15600.1 | − | 2470.81i | −0.905604 | − | 0.143434i | ||||
\(668\) | 1264.58 | + | 3213.16i | 0.0732454 | + | 0.186109i | ||||
\(669\) | 7100.76 | + | 9773.36i | 0.410361 | + | 0.564813i | ||||
\(670\) | 15277.0 | + | 12669.0i | 0.880899 | + | 0.730515i | ||||
\(671\) | 15498.0 | − | 21331.1i | 0.891644 | − | 1.22724i | ||||
\(672\) | −9619.22 | − | 806.613i | −0.552187 | − | 0.0463032i | ||||
\(673\) | −9468.10 | + | 4824.24i | −0.542301 | + | 0.276316i | −0.703608 | − | 0.710588i | \(-0.748429\pi\) |
0.161308 | + | 0.986904i | \(0.448429\pi\) | |||||||
\(674\) | 3216.00 | + | 4906.84i | 0.183792 | + | 0.280422i | ||||
\(675\) | 17031.3 | − | 8007.30i | 0.971164 | − | 0.456594i | ||||
\(676\) | 4561.41 | − | 10481.9i | 0.259525 | − | 0.596374i | ||||
\(677\) | 5674.00 | + | 11135.9i | 0.322112 | + | 0.632180i | 0.994110 | − | 0.108372i | \(-0.0345639\pi\) |
−0.671999 | + | 0.740552i | \(0.734564\pi\) | |||||||
\(678\) | −4828.21 | + | 4384.30i | −0.273490 | + | 0.248345i | ||||
\(679\) | 7125.21 | + | 5176.77i | 0.402711 | + | 0.292586i | ||||
\(680\) | 19186.7 | + | 3102.64i | 1.08202 | + | 0.174972i | ||||
\(681\) | 18394.5 | − | 13364.4i | 1.03507 | − | 0.752019i | ||||
\(682\) | 4643.38 | − | 22307.0i | 0.260710 | − | 1.25246i | ||||
\(683\) | −5233.48 | + | 33042.9i | −0.293197 | + | 1.85117i | 0.198099 | + | 0.980182i | \(0.436523\pi\) |
−0.491296 | + | 0.870993i | \(0.663477\pi\) | |||||||
\(684\) | −3760.16 | − | 363.209i | −0.210195 | − | 0.0203036i | ||||
\(685\) | −10061.3 | − | 5329.36i | −0.561200 | − | 0.297262i | ||||
\(686\) | −18707.5 | + | 5097.21i | −1.04119 | + | 0.283691i | ||||
\(687\) | −10668.4 | + | 20938.0i | −0.592469 | + | 1.16279i | ||||
\(688\) | −1741.49 | − | 6087.18i | −0.0965024 | − | 0.337313i | ||||
\(689\) | −12144.1 | − | 3945.86i | −0.671486 | − | 0.218179i | ||||
\(690\) | 1559.81 | + | 16713.9i | 0.0860594 | + | 0.922153i | ||||
\(691\) | −5957.30 | + | 1935.64i | −0.327969 | + | 0.106563i | −0.468373 | − | 0.883531i | \(-0.655160\pi\) |
0.140405 | + | 0.990094i | \(0.455160\pi\) | |||||||
\(692\) | −6266.19 | − | 3994.67i | −0.344227 | − | 0.219443i | ||||
\(693\) | −3460.72 | − | 3460.72i | −0.189699 | − | 0.189699i | ||||
\(694\) | −5650.92 | + | 14908.6i | −0.309087 | + | 0.815449i | ||||
\(695\) | 11475.3 | − | 33498.2i | 0.626308 | − | 1.82829i | ||||
\(696\) | 8818.80 | + | 4353.92i | 0.480281 | + | 0.237119i | ||||
\(697\) | 15719.0 | − | 2489.65i | 0.854234 | − | 0.135297i | ||||
\(698\) | −3560.94 | + | 6228.16i | −0.193099 | + | 0.337736i | ||||
\(699\) | −7264.70 | −0.393099 | ||||||||
\(700\) | −3924.47 | + | 13388.8i | −0.211901 | + | 0.722927i | ||||
\(701\) | −34853.2 | −1.87787 | −0.938935 | − | 0.344093i | \(-0.888186\pi\) | ||||
−0.938935 | + | 0.344093i | \(0.888186\pi\) | |||||||
\(702\) | −12727.5 | + | 22260.7i | −0.684287 | + | 1.19683i | ||||
\(703\) | 1229.19 | − | 194.685i | 0.0659457 | − | 0.0104448i | ||||
\(704\) | −13892.9 | − | 4128.97i | −0.743762 | − | 0.221046i | ||||
\(705\) | 3535.80 | + | 11500.2i | 0.188888 | + | 0.614359i | ||||
\(706\) | 1636.69 | − | 4317.99i | 0.0872486 | − | 0.230184i | ||||
\(707\) | −1741.65 | − | 1741.65i | −0.0926468 | − | 0.0926468i | ||||
\(708\) | −5811.79 | + | 9116.61i | −0.308504 | + | 0.483931i | ||||
\(709\) | 25421.5 | − | 8259.94i | 1.34658 | − | 0.437530i | 0.455038 | − | 0.890472i | \(-0.349625\pi\) |
0.891540 | + | 0.452942i | \(0.149625\pi\) | |||||||
\(710\) | 5894.83 | − | 2542.58i | 0.311590 | − | 0.134396i | ||||
\(711\) | 7045.44 | + | 2289.20i | 0.371624 | + | 0.120748i | ||||
\(712\) | 752.794 | − | 2420.52i | 0.0396238 | − | 0.127406i | ||||
\(713\) | 17943.8 | − | 35216.7i | 0.942496 | − | 1.84975i | ||||
\(714\) | 11180.1 | − | 3046.24i | 0.586003 | − | 0.159668i | ||||
\(715\) | −13688.0 | + | 13260.1i | −0.715945 | + | 0.693564i | ||||
\(716\) | −2215.74 | + | 22938.7i | −0.115651 | + | 1.19729i | ||||
\(717\) | 2630.31 | − | 16607.1i | 0.137002 | − | 0.864998i | ||||
\(718\) | −4552.77 | + | 21871.7i | −0.236641 | + | 1.13683i | ||||
\(719\) | 14720.1 | − | 10694.8i | 0.763517 | − | 0.554727i | −0.136470 | − | 0.990644i | \(-0.543576\pi\) |
0.899987 | + | 0.435917i | \(0.143576\pi\) | |||||||
\(720\) | −1835.11 | + | 8674.95i | −0.0949867 | + | 0.449023i | ||||
\(721\) | 8804.49 | + | 6396.84i | 0.454780 | + | 0.330417i | ||||
\(722\) | 11321.8 | − | 10280.9i | 0.583591 | − | 0.529936i | ||||
\(723\) | −5987.61 | − | 11751.4i | −0.307997 | − | 0.604478i | ||||
\(724\) | 21328.3 | + | 9281.48i | 1.09484 | + | 0.476441i | ||||
\(725\) | 8716.42 | − | 11229.3i | 0.446510 | − | 0.575235i | ||||
\(726\) | −3138.84 | − | 4789.10i | −0.160459 | − | 0.244821i | ||||
\(727\) | −22622.9 | + | 11527.0i | −1.15411 | + | 0.588049i | −0.922970 | − | 0.384872i | \(-0.874246\pi\) |
−0.231140 | + | 0.972920i | \(0.574246\pi\) | |||||||
\(728\) | −6102.43 | − | 18004.0i | −0.310675 | − | 0.916582i | ||||
\(729\) | 10886.7 | − | 14984.3i | 0.553103 | − | 0.761281i | ||||
\(730\) | −32743.1 | − | 2099.24i | −1.66011 | − | 0.106433i | ||||
\(731\) | 4467.39 | + | 6148.83i | 0.226036 | + | 0.311112i | ||||
\(732\) | −26501.5 | + | 10430.0i | −1.33815 | + | 0.526642i | ||||
\(733\) | 10204.9 | + | 1616.29i | 0.514222 | + | 0.0814448i | 0.408152 | − | 0.912914i | \(-0.366173\pi\) |
0.106070 | + | 0.994359i | \(0.466173\pi\) | |||||||
\(734\) | −23417.5 | − | 18800.4i | −1.17760 | − | 0.945414i | ||||
\(735\) | −892.082 | − | 6275.70i | −0.0447686 | − | 0.314942i | ||||
\(736\) | −21369.0 | − | 13245.9i | −1.07021 | − | 0.663382i | ||||
\(737\) | 15829.6 | + | 8065.61i | 0.791170 | + | 0.403121i | ||||
\(738\) | 789.350 | + | 7217.58i | 0.0393718 | + | 0.360004i | ||||
\(739\) | 318.821 | − | 981.230i | 0.0158701 | − | 0.0488432i | −0.942808 | − | 0.333337i | \(-0.891825\pi\) |
0.958678 | + | 0.284494i | \(0.0918254\pi\) | |||||||
\(740\) | −131.136 | − | 2918.18i | −0.00651438 | − | 0.144966i | ||||
\(741\) | 2710.08 | + | 8340.78i | 0.134355 | + | 0.413504i | ||||
\(742\) | −7630.38 | + | 3435.85i | −0.377520 | + | 0.169992i | ||||
\(743\) | 995.935 | − | 995.935i | 0.0491754 | − | 0.0491754i | −0.682091 | − | 0.731267i | \(-0.738929\pi\) |
0.731267 | + | 0.682091i | \(0.238929\pi\) | |||||||
\(744\) | −17181.6 | + | 17621.4i | −0.846649 | + | 0.868322i | ||||
\(745\) | −191.670 | + | 12071.1i | −0.00942584 | + | 0.593625i | ||||
\(746\) | −1881.94 | − | 90.6809i | −0.0923628 | − | 0.00445049i | ||||
\(747\) | 2503.69 | + | 15807.7i | 0.122631 | + | 0.774260i | ||||
\(748\) | 17366.2 | − | 1056.90i | 0.848894 | − | 0.0516631i | ||||
\(749\) | − | 13314.0i | − | 0.649511i | ||||||
\(750\) | −13856.2 | − | 6021.33i | −0.674610 | − | 0.293157i | ||||
\(751\) | 4820.03i | 0.234202i | 0.993120 | + | 0.117101i | \(0.0373601\pi\) | ||||
−0.993120 | + | 0.117101i | \(0.962640\pi\) | |||||||
\(752\) | −16929.3 | − | 6173.33i | −0.820939 | − | 0.299359i | ||||
\(753\) | −980.160 | − | 6188.49i | −0.0474356 | − | 0.299497i | ||||
\(754\) | −932.192 | + | 19346.1i | −0.0450244 | + | 0.934410i | ||||
\(755\) | −475.378 | + | 29938.6i | −0.0229149 | + | 1.44315i | ||||
\(756\) | 3632.27 | + | 16407.6i | 0.174741 | + | 0.789335i | ||||
\(757\) | −19092.9 | + | 19092.9i | −0.916700 | + | 0.916700i | −0.996788 | − | 0.0800883i | \(-0.974480\pi\) |
0.0800883 | + | 0.996788i | \(0.474480\pi\) | |||||||
\(758\) | 743.961 | + | 1652.20i | 0.0356489 | + | 0.0791696i | ||||
\(759\) | 4643.49 | + | 14291.2i | 0.222066 | + | 0.683449i | ||||
\(760\) | 5641.04 | + | 7817.38i | 0.269240 | + | 0.373113i | ||||
\(761\) | 12704.4 | − | 39100.0i | 0.605168 | − | 1.86252i | 0.109539 | − | 0.993982i | \(-0.465062\pi\) |
0.495629 | − | 0.868534i | \(-0.334938\pi\) | |||||||
\(762\) | −21985.5 | + | 2404.44i | −1.04521 | + | 0.114309i | ||||
\(763\) | 10346.4 | + | 5271.77i | 0.490912 | + | 0.250132i | ||||
\(764\) | 8115.81 | + | 7184.64i | 0.384319 | + | 0.340224i | ||||
\(765\) | −1497.98 | − | 10538.2i | −0.0707971 | − | 0.498050i | ||||
\(766\) | 17341.2 | − | 21600.0i | 0.817967 | − | 1.01885i | ||||
\(767\) | −21029.6 | − | 3330.75i | −0.990004 | − | 0.156801i | ||||
\(768\) | 10256.4 | + | 11827.5i | 0.481896 | + | 0.555713i | ||||
\(769\) | 13342.1 | + | 18363.8i | 0.625655 | + | 0.861140i | 0.997749 | − | 0.0670547i | \(-0.0213602\pi\) |
−0.372094 | + | 0.928195i | \(0.621360\pi\) | |||||||
\(770\) | −799.086 | + | 12463.8i | −0.0373988 | + | 0.583332i | ||||
\(771\) | 14336.8 | − | 19732.9i | 0.669685 | − | 0.921742i | ||||
\(772\) | 7394.05 | − | 28555.1i | 0.344712 | − | 1.33124i | ||||
\(773\) | −14146.1 | + | 7207.80i | −0.658215 | + | 0.335377i | −0.750993 | − | 0.660310i | \(-0.770425\pi\) |
0.0927789 | + | 0.995687i | \(0.470425\pi\) | |||||||
\(774\) | −2900.02 | + | 1900.71i | −0.134676 | + | 0.0882681i | ||||
\(775\) | 19984.7 | + | 29428.1i | 0.926288 | + | 1.36398i | ||||
\(776\) | −2412.53 | − | 14078.3i | −0.111604 | − | 0.651265i | ||||
\(777\) | −790.658 | − | 1551.75i | −0.0365054 | − | 0.0716459i | ||||
\(778\) | 2942.03 | + | 3239.90i | 0.135574 | + | 0.149301i | ||||
\(779\) | 6386.20 | + | 4639.84i | 0.293722 | + | 0.213401i | ||||
\(780\) | 20166.5 | − | 4129.68i | 0.925739 | − | 0.189572i | ||||
\(781\) | 4649.23 | − | 3377.87i | 0.213012 | − | 0.154763i | ||||
\(782\) | 29547.0 | + | 6150.44i | 1.35115 | + | 0.281252i | ||||
\(783\) | 2678.43 | − | 16910.9i | 0.122247 | − | 0.771836i | ||||
\(784\) | 8300.58 | + | 4607.64i | 0.378124 | + | 0.209896i | ||||
\(785\) | −18165.2 | + | 17597.3i | −0.825914 | + | 0.800095i | ||||
\(786\) | 4456.02 | + | 16354.2i | 0.202215 | + | 0.742157i | ||||
\(787\) | −10799.8 | + | 21195.7i | −0.489161 | + | 0.960033i | 0.506071 | + | 0.862492i | \(0.331098\pi\) |
−0.995232 | + | 0.0975405i | \(0.968902\pi\) | |||||||
\(788\) | 6040.39 | + | 7332.09i | 0.273071 | + | 0.331466i | ||||
\(789\) | 19216.9 | + | 6243.93i | 0.867095 | + | 0.281736i | ||||
\(790\) | −7487.15 | − | 17358.6i | −0.337191 | − | 0.781759i | ||||
\(791\) | −8005.18 | + | 2601.04i | −0.359837 | + | 0.116918i | ||||
\(792\) | 100.300 | + | 7936.73i | 0.00449999 | + | 0.356085i | ||||
\(793\) | −39659.5 | − | 39659.5i | −1.77598 | − | 1.77598i | ||||
\(794\) | 20360.7 | + | 7717.48i | 0.910041 | + | 0.344941i | ||||
\(795\) | −2662.99 | − | 8661.41i | −0.118801 | − | 0.386401i | ||||
\(796\) | 17601.5 | + | 29902.1i | 0.783755 | + | 1.33147i | ||||
\(797\) | −23957.5 | + | 3794.49i | −1.06476 | + | 0.168642i | −0.664146 | − | 0.747603i | \(-0.731205\pi\) |
−0.400618 | + | 0.916245i | \(0.631205\pi\) | |||||||
\(798\) | 4989.51 | + | 2852.74i | 0.221337 | + | 0.126549i | ||||
\(799\) | 21631.3 | 0.957774 | ||||||||
\(800\) | 19715.8 | − | 11103.5i | 0.871322 | − | 0.490711i | ||||
\(801\) | −1388.23 | −0.0612367 | ||||||||
\(802\) | −18143.8 | − | 10373.7i | −0.798853 | − | 0.456743i | ||||
\(803\) | −29009.0 | + | 4594.58i | −1.27485 | + | 0.201917i | ||||
\(804\) | −9734.65 | − | 16537.6i | −0.427008 | − | 0.725417i | ||||
\(805\) | −7021.12 | + | 20495.7i | −0.307406 | + | 0.897365i | ||||
\(806\) | −45321.9 | − | 17178.7i | −1.98064 | − | 0.750739i | ||||
\(807\) | 1281.83 | + | 1281.83i | 0.0559140 | + | 0.0559140i | ||||
\(808\) | 50.4770 | + | 3994.25i | 0.00219774 | + | 0.173907i | ||||
\(809\) | 19001.4 | − | 6173.93i | 0.825777 | − | 0.268311i | 0.134511 | − | 0.990912i | \(-0.457054\pi\) |
0.691265 | + | 0.722601i | \(0.257054\pi\) | |||||||
\(810\) | −7583.68 | + | 707.742i | −0.328967 | + | 0.0307007i | ||||
\(811\) | −10817.1 | − | 3514.70i | −0.468362 | − | 0.152180i | 0.0653218 | − | 0.997864i | \(-0.479193\pi\) |
−0.533683 | + | 0.845684i | \(0.679193\pi\) | |||||||
\(812\) | 8070.96 | + | 9796.89i | 0.348812 | + | 0.423403i | ||||
\(813\) | −2763.66 | + | 5423.99i | −0.119220 | + | 0.233982i | ||||
\(814\) | −687.416 | − | 2522.91i | −0.0295994 | − | 0.108634i | ||||
\(815\) | −1252.77 | − | 663.581i | −0.0538438 | − | 0.0285205i | ||||
\(816\) | −16431.1 | − | 9120.88i | −0.704906 | − | 0.391293i | ||||
\(817\) | −589.720 | + | 3723.35i | −0.0252530 | + | 0.159441i | ||||
\(818\) | 20539.4 | + | 4275.44i | 0.877925 | + | 0.182747i | ||||
\(819\) | −8422.57 | + | 6119.36i | −0.359351 | + | 0.261084i | ||||
\(820\) | 12500.1 | − | 13676.4i | 0.532345 | − | 0.582441i | ||||
\(821\) | −29820.3 | − | 21665.7i | −1.26764 | − | 0.920997i | −0.268537 | − | 0.963269i | \(-0.586540\pi\) |
−0.999106 | + | 0.0422728i | \(0.986540\pi\) | |||||||
\(822\) | 7400.76 | + | 8150.08i | 0.314028 | + | 0.345823i | ||||
\(823\) | 11396.8 | + | 22367.5i | 0.482707 | + | 0.947366i | 0.996017 | + | 0.0891626i | \(0.0284191\pi\) |
−0.513310 | + | 0.858203i | \(0.671581\pi\) | |||||||
\(824\) | −2981.11 | − | 17396.3i | −0.126034 | − | 0.735472i | ||||
\(825\) | −13283.7 | − | 2538.66i | −0.560582 | − | 0.107133i | ||||
\(826\) | −11670.3 | + | 7648.90i | −0.491602 | + | 0.322202i | ||||
\(827\) | 30809.3 | − | 15698.1i | 1.29546 | − | 0.660068i | 0.335984 | − | 0.941868i | \(-0.390931\pi\) |
0.959473 | + | 0.281800i | \(0.0909314\pi\) | |||||||
\(828\) | −3451.42 | + | 13329.0i | −0.144861 | + | 0.559440i | ||||
\(829\) | 11430.9 | − | 15733.3i | 0.478905 | − | 0.659156i | −0.499389 | − | 0.866378i | \(-0.666442\pi\) |
0.978294 | + | 0.207222i | \(0.0664422\pi\) | |||||||
\(830\) | 26071.3 | − | 31438.4i | 1.09030 | − | 1.31475i | ||||
\(831\) | 12987.9 | + | 17876.3i | 0.542173 | + | 0.746237i | ||||
\(832\) | −13298.0 | + | 27815.0i | −0.554119 | + | 1.15903i | ||||
\(833\) | −11256.2 | − | 1782.80i | −0.468191 | − | 0.0741541i | ||||
\(834\) | −21434.2 | + | 26698.1i | −0.889933 | + | 1.10849i | ||||
\(835\) | −4753.79 | − | 830.497i | −0.197020 | − | 0.0344198i | ||||
\(836\) | 6461.41 | + | 5720.05i | 0.267312 | + | 0.236641i | ||||
\(837\) | 38175.9 | + | 19451.6i | 1.57652 | + | 0.803279i | ||||
\(838\) | 19176.6 | − | 2097.25i | 0.790508 | − | 0.0864538i | ||||
\(839\) | 5097.74 | − | 15689.2i | 0.209766 | − | 0.645593i | −0.789718 | − | 0.613470i | \(-0.789773\pi\) |
0.999484 | − | 0.0321231i | \(-0.0102268\pi\) | |||||||
\(840\) | 7964.81 | − | 10888.3i | 0.327157 | − | 0.447239i | ||||
\(841\) | 3540.20 | + | 10895.6i | 0.145156 | + | 0.446743i | ||||
\(842\) | 12655.1 | + | 28104.5i | 0.517960 | + | 1.15029i | ||||
\(843\) | 4227.78 | − | 4227.78i | 0.172731 | − | 0.172731i | ||||
\(844\) | −3697.10 | − | 16700.4i | −0.150781 | − | 0.681105i | ||||
\(845\) | 9183.96 | + | 13072.2i | 0.373891 | + | 0.532184i | ||||
\(846\) | −474.961 | + | 9857.06i | −0.0193020 | + | 0.400582i | ||||
\(847\) | −1156.08 | − | 7299.18i | −0.0468987 | − | 0.296107i | ||||
\(848\) | 12750.3 | + | 4649.46i | 0.516329 | + | 0.188282i | ||||
\(849\) | − | 32373.6i | − | 1.30867i | ||||||
\(850\) | −17668.8 | + | 20630.5i | −0.712982 | + | 0.832496i | ||||
\(851\) | − | 4535.95i | − | 0.182715i | ||||||
\(852\) | −6195.91 | + | 377.079i | −0.249141 | + | 0.0151626i | ||||
\(853\) | 7016.26 | + | 44298.9i | 0.281632 | + | 1.77815i | 0.571013 | + | 0.820941i | \(0.306551\pi\) |
−0.289381 | + | 0.957214i | \(0.593449\pi\) | |||||||
\(854\) | −36714.3 | − | 1769.07i | −1.47112 | − | 0.0708857i | ||||
\(855\) | 3170.60 | − | 4221.35i | 0.126821 | − | 0.168850i | ||||
\(856\) | −15074.1 | + | 15460.0i | −0.601895 | + | 0.617303i | ||||
\(857\) | 5704.13 | − | 5704.13i | 0.227362 | − | 0.227362i | −0.584228 | − | 0.811590i | \(-0.698602\pi\) |
0.811590 | + | 0.584228i | \(0.198602\pi\) | |||||||
\(858\) | 16802.1 | − | 7565.76i | 0.668550 | − | 0.301038i | ||||
\(859\) | 14317.0 | + | 44063.1i | 0.568672 | + | 1.75019i | 0.656782 | + | 0.754081i | \(0.271917\pi\) |
−0.0881101 | + | 0.996111i | \(0.528083\pi\) | |||||||
\(860\) | 8529.58 | + | 2353.76i | 0.338205 | + | 0.0933287i | ||||
\(861\) | 3413.57 | − | 10505.9i | 0.135115 | − | 0.415842i | ||||
\(862\) | −5123.73 | − | 46849.8i | −0.202453 | − | 1.85117i | ||||
\(863\) | −15239.9 | − | 7765.10i | −0.601125 | − | 0.306288i | 0.126818 | − | 0.991926i | \(-0.459524\pi\) |
−0.727943 | + | 0.685637i | \(0.759524\pi\) | |||||||
\(864\) | 14358.9 | − | 23164.6i | 0.565393 | − | 0.912124i | ||||
\(865\) | 9327.14 | − | 4567.36i | 0.366627 | − | 0.179532i | ||||
\(866\) | −36892.9 | − | 29618.8i | −1.44766 | − | 1.16223i | ||||
\(867\) | 3735.14 | + | 591.588i | 0.146311 | + | 0.0231734i | ||||
\(868\) | −29557.2 | + | 11632.6i | −1.15580 | + | 0.454880i | ||||
\(869\) | −9946.83 | − | 13690.6i | −0.388289 | − | 0.534434i | ||||
\(870\) | −11614.0 | + | 7351.02i | −0.452586 | + | 0.286463i | ||||
\(871\) | 22213.4 | − | 30574.1i | 0.864148 | − | 1.18940i | ||||
\(872\) | −6045.38 | − | 17835.7i | −0.234773 | − | 0.692651i | ||||
\(873\) | −6969.79 | + | 3551.28i | −0.270208 | + | 0.137678i | ||||
\(874\) | 8205.69 | + | 12519.9i | 0.317576 | + | 0.484544i | ||||
\(875\) | −13115.5 | − | 14428.5i | −0.506726 | − | 0.557453i | ||||
\(876\) | 29089.6 | + | 12659.0i | 1.12197 | + | 0.488250i | ||||
\(877\) | 342.907 | + | 672.992i | 0.0132031 | + | 0.0259126i | 0.897514 | − | 0.440986i | \(-0.145371\pi\) |
−0.884311 | + | 0.466899i | \(0.845371\pi\) | |||||||
\(878\) | −8033.97 | + | 7295.33i | −0.308808 | + | 0.280416i | ||||
\(879\) | −26294.9 | − | 19104.4i | −1.00899 | − | 0.733077i | ||||
\(880\) | 15039.4 | − | 13568.0i | 0.576112 | − | 0.519748i | ||||
\(881\) | 32651.6 | − | 23722.8i | 1.24865 | − | 0.907198i | 0.250508 | − | 0.968114i | \(-0.419402\pi\) |
0.998143 | + | 0.0609161i | \(0.0194022\pi\) | |||||||
\(882\) | 1059.55 | − | 5090.11i | 0.0404499 | − | 0.194323i | ||||
\(883\) | 7314.91 | − | 46184.5i | 0.278784 | − | 1.76017i | −0.308912 | − | 0.951091i | \(-0.599965\pi\) |
0.587696 | − | 0.809082i | \(-0.300035\pi\) | |||||||
\(884\) | 3558.35 | − | 36838.2i | 0.135385 | − | 1.40159i | ||||
\(885\) | −6645.01 | − | 13570.0i | −0.252395 | − | 0.515423i | ||||
\(886\) | −18387.5 | + | 5010.02i | −0.697223 | + | 0.189972i | ||||
\(887\) | 16505.9 | − | 32394.7i | 0.624820 | − | 1.22628i | −0.334083 | − | 0.942544i | \(-0.608427\pi\) |
0.958903 | − | 0.283734i | \(-0.0915733\pi\) | |||||||
\(888\) | −838.795 | + | 2697.05i | −0.0316983 | + | 0.101922i | ||||
\(889\) | −27147.0 | − | 8820.61i | −1.02416 | − | 0.332771i | ||||
\(890\) | 2339.59 | + | 2660.14i | 0.0881161 | + | 0.100189i | ||||
\(891\) | −6484.43 | + | 2106.92i | −0.243812 | + | 0.0792194i | ||||
\(892\) | 13592.6 | − | 21321.9i | 0.510217 | − | 0.800346i | ||||
\(893\) | 7586.60 | + | 7586.60i | 0.284295 | + | 0.284295i | ||||
\(894\) | 4137.34 | − | 10915.3i | 0.154780 | − | 0.408349i | ||||
\(895\) | −25752.2 | − | 19342.1i | −0.961788 | − | 0.722386i | ||||
\(896\) | 5802.49 | + | 19353.7i | 0.216348 | + | 0.721609i | ||||
\(897\) | 31571.0 | − | 5000.36i | 1.17517 | − | 0.186128i | ||||
\(898\) | 4947.78 | − | 8653.79i | 0.183864 | − | 0.321582i | ||||
\(899\) | 32363.0 | 1.20063 | ||||||||
\(900\) | −9013.05 | − | 8504.37i | −0.333817 | − | 0.314977i | ||||
\(901\) | −16291.7 | −0.602392 | ||||||||
\(902\) | 8232.35 | − | 14398.6i | 0.303888 | − | 0.531508i | ||||
\(903\) | 5210.46 | − | 825.255i | 0.192019 | − | 0.0304128i | ||||
\(904\) | 12240.3 | + | 6043.17i | 0.450340 | + | 0.222337i | ||||
\(905\) | −26599.0 | + | 18687.4i | −0.976995 | + | 0.686397i | ||||
\(906\) | 10261.4 | − | 27072.1i | 0.376283 | − | 0.992728i | ||||
\(907\) | −6318.61 | − | 6318.61i | −0.231319 | − | 0.231319i | 0.581924 | − | 0.813243i | \(-0.302300\pi\) |
−0.813243 | + | 0.581924i | \(0.802300\pi\) | |||||||
\(908\) | −40130.0 | − | 25582.7i | −1.46670 | − | 0.935013i | ||||
\(909\) | 2080.56 | − | 676.014i | 0.0759161 | − | 0.0246666i | ||||
\(910\) | 25920.6 | + | 5826.42i | 0.944242 | + | 0.212246i | ||||
\(911\) | 28643.0 | + | 9306.67i | 1.04170 | + | 0.338467i | 0.779404 | − | 0.626522i | \(-0.215522\pi\) |
0.262291 | + | 0.964989i | \(0.415522\pi\) | |||||||
\(912\) | −2563.85 | − | 8961.65i | −0.0930895 | − | 0.325384i | ||||
\(913\) | 16598.1 | − | 32575.7i | 0.601663 | − | 1.18083i | ||||
\(914\) | −36732.2 | + | 10008.4i | −1.32931 | + | 0.362197i | ||||
\(915\) | 6849.76 | − | 39208.2i | 0.247482 | − | 1.41659i | ||||
\(916\) | 48958.8 | + | 4729.12i | 1.76599 | + | 0.170584i | ||||
\(917\) | −3422.24 | + | 21607.2i | −0.123241 | + | 0.778116i | ||||
\(918\) | −6667.25 | + | 32029.8i | −0.239708 | + | 1.15157i | ||||
\(919\) | −33023.9 | + | 23993.3i | −1.18537 | + | 0.861224i | −0.992768 | − | 0.120052i | \(-0.961694\pi\) |
−0.192606 | + | 0.981276i | \(0.561694\pi\) | |||||||
\(920\) | 31358.0 | − | 15849.9i | 1.12374 | − | 0.567996i | ||||
\(921\) | −3033.10 | − | 2203.68i | −0.108517 | − | 0.0788422i | ||||
\(922\) | −4494.74 | + | 4081.50i | −0.160549 | + | 0.145789i | ||||
\(923\) | −5549.79 | − | 10892.1i | −0.197913 | − | 0.388426i | ||||
\(924\) | 4818.71 | − | 11073.1i | 0.171563 | − | 0.394241i | ||||
\(925\) | 3576.77 | + | 1967.92i | 0.127139 | + | 0.0699512i | ||||
\(926\) | 10106.7 | + | 15420.4i | 0.358670 | + | 0.547242i | ||||
\(927\) | −8612.43 | + | 4388.25i | −0.305145 | + | 0.155479i | ||||
\(928\) | 1720.17 | − | 20513.9i | 0.0608486 | − | 0.725647i | ||||
\(929\) | −10356.8 | + | 14255.0i | −0.365767 | + | 0.503435i | −0.951744 | − | 0.306893i | \(-0.900711\pi\) |
0.585977 | + | 0.810327i | \(0.300711\pi\) | |||||||
\(930\) | −8514.05 | − | 33325.0i | −0.300201 | − | 1.17502i | ||||
\(931\) | −3322.52 | − | 4573.06i | −0.116962 | − | 0.160984i | ||||
\(932\) | 5568.69 | + | 14149.5i | 0.195717 | + | 0.497298i | ||||
\(933\) | −19443.0 | − | 3079.47i | −0.682245 | − | 0.108057i | ||||
\(934\) | 16921.2 | + | 13584.9i | 0.592803 | + | 0.475922i | ||||
\(935\) | −11381.3 | + | 21486.8i | −0.398085 | + | 0.751544i | ||||
\(936\) | 16708.4 | + | 2430.34i | 0.583475 | + | 0.0848699i | ||||
\(937\) | 30955.0 | + | 15772.4i | 1.07925 | + | 0.549905i | 0.900884 | − | 0.434059i | \(-0.142919\pi\) |
0.178366 | + | 0.983964i | \(0.442919\pi\) | |||||||
\(938\) | −2692.58 | − | 24620.1i | −0.0937269 | − | 0.857010i | ||||
\(939\) | −3252.63 | + | 10010.6i | −0.113041 | + | 0.347904i | ||||
\(940\) | 19688.7 | − | 15702.1i | 0.683163 | − | 0.544835i | ||||
\(941\) | −14385.4 | − | 44273.8i | −0.498355 | − | 1.53378i | −0.811662 | − | 0.584127i | \(-0.801437\pi\) |
0.313308 | − | 0.949652i | \(-0.398563\pi\) | |||||||
\(942\) | 22297.9 | − | 10040.4i | 0.771238 | − | 0.347277i | ||||
\(943\) | 20344.1 | − | 20344.1i | 0.702539 | − | 0.702539i | ||||
\(944\) | 22211.4 | + | 4331.40i | 0.765806 | + | 0.149338i | ||||
\(945\) | −22217.9 | − | 7611.10i | −0.764814 | − | 0.261999i | ||||
\(946\) | 7911.58 | + | 381.219i | 0.271911 | + | 0.0131020i | ||||
\(947\) | 1467.91 | + | 9268.03i | 0.0503703 | + | 0.318026i | 0.999989 | + | 0.00461906i | \(0.00147030\pi\) |
−0.949619 | + | 0.313407i | \(0.898530\pi\) | |||||||
\(948\) | 1110.39 | + | 18245.1i | 0.0380419 | + | 0.625079i | ||||
\(949\) | 62477.0i | 2.13708i | ||||||||
\(950\) | −13432.4 | + | 1038.75i | −0.458743 | + | 0.0354752i | ||||
\(951\) | 6100.96i | 0.208031i | ||||||||
\(952\) | −14503.2 | − | 19440.5i | −0.493751 | − | 0.661839i | ||||
\(953\) | 3990.45 | + | 25194.7i | 0.135638 | + | 0.856388i | 0.957863 | + | 0.287225i | \(0.0927326\pi\) |
−0.822225 | + | 0.569163i | \(0.807267\pi\) | |||||||
\(954\) | 357.718 | − | 7423.86i | 0.0121400 | − | 0.251946i | ||||
\(955\) | −14479.2 | + | 4451.69i | −0.490612 | + | 0.150841i | ||||
\(956\) | −34361.9 | + | 7606.97i | −1.16249 | + | 0.257350i | ||||
\(957\) | −8700.19 | + | 8700.19i | −0.293874 | + | 0.293874i | ||||
\(958\) | −12417.8 | − | 27577.6i | −0.418790 | − | 0.930055i | ||||
\(959\) | 4390.59 | + | 13512.8i | 0.147841 | + | 0.455008i | ||||
\(960\) | −21576.2 | + | 3625.48i | −0.725385 | + | 0.121887i | ||||
\(961\) | −15820.0 | + | 48689.0i | −0.531034 | + | 1.63435i | ||||
\(962\) | −5529.39 | + | 604.722i | −0.185317 | + | 0.0202672i | ||||
\(963\) | 10536.3 | + | 5368.52i | 0.352573 | + | 0.179645i | ||||
\(964\) | −18298.4 | + | 20670.0i | −0.611361 | + | 0.690597i | ||||
\(965\) | 28682.7 | + | 29608.2i | 0.956816 | + | 0.987692i | ||||
\(966\) | 13114.4 | − | 16335.1i | 0.436799 | − | 0.544072i | ||||
\(967\) | 26040.5 | + | 4124.41i | 0.865984 | + | 0.137158i | 0.573593 | − | 0.819141i | \(-0.305549\pi\) |
0.292391 | + | 0.956299i | \(0.405549\pi\) | |||||||
\(968\) | −6921.70 | + | 9784.56i | −0.229826 | + | 0.324884i | ||||
\(969\) | 6576.97 | + | 9052.42i | 0.218042 | + | 0.300109i | ||||
\(970\) | 18551.3 | + | 7370.57i | 0.614067 | + | 0.243974i | ||||
\(971\) | −17112.2 | + | 23553.0i | −0.565559 | + | 0.778425i | −0.992020 | − | 0.126081i | \(-0.959760\pi\) |
0.426461 | + | 0.904506i | \(0.359760\pi\) | |||||||
\(972\) | −24352.7 | − | 6305.90i | −0.803616 | − | 0.208088i | ||||
\(973\) | −39371.5 | + | 20060.8i | −1.29722 | + | 0.660966i | ||||
\(974\) | −28376.8 | + | 18598.5i | −0.933524 | + | 0.611843i | ||||
\(975\) | −9754.11 | + | 27064.3i | −0.320391 | + | 0.888977i | ||||
\(976\) | 40628.9 | + | 43622.0i | 1.33248 | + | 1.43064i | ||||
\(977\) | −619.897 | − | 1216.62i | −0.0202992 | − | 0.0398393i | 0.880634 | − | 0.473797i | \(-0.157117\pi\) |
−0.900933 | + | 0.433957i | \(0.857117\pi\) | |||||||
\(978\) | 921.499 | + | 1014.80i | 0.0301291 | + | 0.0331797i | ||||
\(979\) | 2565.56 | + | 1863.99i | 0.0837546 | + | 0.0608513i | ||||
\(980\) | −11539.4 | + | 6548.09i | −0.376135 | + | 0.213440i | ||||
\(981\) | −8343.83 | + | 6062.15i | −0.271558 | + | 0.197298i | ||||
\(982\) | 21773.5 | + | 4532.32i | 0.707555 | + | 0.147283i | ||||
\(983\) | −11.1049 | + | 70.1138i | −0.000360318 | + | 0.00227496i | −0.987868 | − | 0.155297i | \(-0.950367\pi\) |
0.987508 | + | 0.157572i | \(0.0503666\pi\) | |||||||
\(984\) | −15858.5 | + | 8334.39i | −0.513771 | + | 0.270011i | ||||
\(985\) | −13144.2 | + | 1868.43i | −0.425187 | + | 0.0604397i | ||||
\(986\) | 6496.38 | + | 23842.6i | 0.209824 | + | 0.770086i | ||||
\(987\) | 6816.33 | − | 13377.8i | 0.219824 | − | 0.431429i | ||||
\(988\) | 14168.0 | − | 11672.0i | 0.456218 | − | 0.375846i | ||||
\(989\) | 13067.4 | + | 4245.85i | 0.420140 | + | 0.136512i | ||||
\(990\) | −9541.29 | − | 5658.08i | −0.306305 | − | 0.181642i | ||||
\(991\) | −52874.1 | + | 17179.8i | −1.69485 | + | 0.550692i | −0.987699 | − | 0.156367i | \(-0.950022\pi\) |
−0.707155 | + | 0.707058i | \(0.750022\pi\) | |||||||
\(992\) | 47491.6 | + | 19957.1i | 1.52002 | + | 0.638748i | ||||
\(993\) | −7221.10 | − | 7221.10i | −0.230770 | − | 0.230770i | ||||
\(994\) | −7491.27 | − | 2839.48i | −0.239043 | − | 0.0906065i | ||||
\(995\) | −48485.8 | − | 769.878i | −1.54483 | − | 0.0245294i | ||||
\(996\) | −34032.5 | + | 20032.8i | −1.08269 | + | 0.637314i | ||||
\(997\) | 14418.9 | − | 2283.73i | 0.458026 | − | 0.0725442i | 0.0768418 | − | 0.997043i | \(-0.475516\pi\) |
0.381184 | + | 0.924499i | \(0.375516\pi\) | |||||||
\(998\) | 24283.4 | + | 13884.0i | 0.770219 | + | 0.440371i | ||||
\(999\) | 4917.10 | 0.155726 |
(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 | 100.4.l.b.3.8 | ✓ | 336 | |
4.3 | odd | 2 | inner | 100.4.l.b.3.22 | yes | 336 | |
25.17 | odd | 20 | inner | 100.4.l.b.67.22 | yes | 336 | |
100.67 | even | 20 | inner | 100.4.l.b.67.8 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
100.4.l.b.3.8 | ✓ | 336 | 1.1 | even | 1 | trivial | |
100.4.l.b.3.22 | yes | 336 | 4.3 | odd | 2 | inner | |
100.4.l.b.67.8 | yes | 336 | 100.67 | even | 20 | inner | |
100.4.l.b.67.22 | yes | 336 | 25.17 | odd | 20 | inner |