Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(19,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.j (of order \(18\), degree \(6\), not 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: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 199.28 | ||
Character | \(\chi\) | \(=\) | 324.199 |
Dual form | 324.3.j.a.127.28 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.63490 | − | 1.15200i | 0.817450 | − | 0.576000i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.34579 | − | 3.76681i | 0.336448 | − | 0.941702i | ||||
\(5\) | 7.58012 | − | 2.75894i | 1.51602 | − | 0.551788i | 0.555873 | − | 0.831267i | \(-0.312384\pi\) |
0.960152 | + | 0.279480i | \(0.0901620\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −9.72462 | + | 1.71471i | −1.38923 | + | 0.244959i | −0.817711 | − | 0.575629i | \(-0.804757\pi\) |
−0.571520 | + | 0.820588i | \(0.693646\pi\) | |||||||
\(8\) | −2.13913 | − | 7.70871i | −0.267391 | − | 0.963588i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 9.21444 | − | 13.2429i | 0.921444 | − | 1.32429i | ||||
\(11\) | 5.60551 | − | 15.4010i | 0.509591 | − | 1.40009i | −0.372068 | − | 0.928205i | \(-0.621351\pi\) |
0.881660 | − | 0.471886i | \(-0.156426\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.71726 | + | 3.95825i | 0.362866 | + | 0.304481i | 0.805932 | − | 0.592008i | \(-0.201665\pi\) |
−0.443066 | + | 0.896489i | \(0.646109\pi\) | |||||||
\(14\) | −13.9234 | + | 14.0061i | −0.994530 | + | 1.00044i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −12.3777 | − | 10.1387i | −0.773605 | − | 0.633668i | ||||
\(17\) | −4.02290 | + | 6.96786i | −0.236641 | + | 0.409874i | −0.959748 | − | 0.280862i | \(-0.909380\pi\) |
0.723107 | + | 0.690736i | \(0.242713\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.87779 | + | 1.66149i | −0.151462 | + | 0.0874469i | −0.573816 | − | 0.818984i | \(-0.694537\pi\) |
0.422353 | + | 0.906431i | \(0.361204\pi\) | |||||||
\(20\) | −0.191123 | − | 32.2658i | −0.00955616 | − | 1.61329i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −8.57751 | − | 31.6366i | −0.389887 | − | 1.43803i | ||||
\(23\) | 19.7154 | + | 3.47636i | 0.857193 | + | 0.151146i | 0.584937 | − | 0.811079i | \(-0.301119\pi\) |
0.272256 | + | 0.962225i | \(0.412230\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 30.6954 | − | 25.7565i | 1.22782 | − | 1.03026i | ||||
\(26\) | 12.2721 | + | 1.03706i | 0.472005 | + | 0.0398869i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.62832 | + | 38.9384i | −0.236726 | + | 1.39066i | ||||
\(29\) | −13.6140 | + | 11.4235i | −0.469449 | + | 0.393914i | −0.846593 | − | 0.532240i | \(-0.821350\pi\) |
0.377145 | + | 0.926154i | \(0.376906\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 26.6424 | + | 4.69778i | 0.859434 | + | 0.151541i | 0.585962 | − | 0.810339i | \(-0.300717\pi\) |
0.273472 | + | 0.961880i | \(0.411828\pi\) | |||||||
\(32\) | −31.9160 | − | 2.31663i | −0.997376 | − | 0.0723948i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.44994 | + | 16.0261i | 0.0426454 | + | 0.471357i | ||||
\(35\) | −68.9830 | + | 39.8273i | −1.97094 | + | 1.13792i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.47191 | − | 12.9417i | 0.201944 | − | 0.349776i | −0.747211 | − | 0.664587i | \(-0.768608\pi\) |
0.949155 | + | 0.314810i | \(0.101941\pi\) | |||||||
\(38\) | −2.79085 | + | 6.03158i | −0.0734435 | + | 0.158726i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −37.4827 | − | 52.5312i | −0.937067 | − | 1.31328i | ||||
\(41\) | −17.2789 | − | 14.4987i | −0.421436 | − | 0.353626i | 0.407273 | − | 0.913306i | \(-0.366480\pi\) |
−0.828709 | + | 0.559680i | \(0.810924\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −17.9633 | + | 49.3537i | −0.417751 | + | 1.14776i | 0.535224 | + | 0.844710i | \(0.320227\pi\) |
−0.952975 | + | 0.303050i | \(0.901995\pi\) | |||||||
\(44\) | −50.4688 | − | 41.8414i | −1.14702 | − | 0.950941i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 36.2375 | − | 17.0287i | 0.787772 | − | 0.370189i | ||||
\(47\) | 61.7512 | − | 10.8884i | 1.31385 | − | 0.231668i | 0.527559 | − | 0.849518i | \(-0.323107\pi\) |
0.786296 | + | 0.617850i | \(0.211996\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 45.5830 | − | 16.5908i | 0.930265 | − | 0.338589i | ||||
\(50\) | 20.5124 | − | 77.4704i | 0.410248 | − | 1.54941i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 21.2584 | − | 12.4420i | 0.408815 | − | 0.239270i | ||||
\(53\) | −18.6838 | −0.352525 | −0.176262 | − | 0.984343i | \(-0.556401\pi\) | ||||
−0.176262 | + | 0.984343i | \(0.556401\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 132.207i | − | 2.40376i | ||||||
\(56\) | 34.0204 | + | 71.2962i | 0.607507 | + | 1.27315i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.09765 | + | 34.3596i | −0.156856 | + | 0.592407i | ||||
\(59\) | −12.4197 | − | 34.1229i | −0.210504 | − | 0.578355i | 0.788839 | − | 0.614600i | \(-0.210683\pi\) |
−0.999343 | + | 0.0362450i | \(0.988460\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 15.9855 | + | 90.6585i | 0.262058 | + | 1.48621i | 0.777283 | + | 0.629151i | \(0.216597\pi\) |
−0.515225 | + | 0.857055i | \(0.672292\pi\) | |||||||
\(62\) | 48.9696 | − | 23.0117i | 0.789832 | − | 0.371156i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −54.8483 | + | 32.9798i | −0.857004 | + | 0.515309i | ||||
\(65\) | 46.6779 | + | 16.9894i | 0.718122 | + | 0.261375i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.38288 | − | 4.03156i | 0.0504907 | − | 0.0601725i | −0.740208 | − | 0.672378i | \(-0.765273\pi\) |
0.790699 | + | 0.612205i | \(0.209717\pi\) | |||||||
\(68\) | 20.8326 | + | 24.5308i | 0.306362 | + | 0.360747i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −66.8991 | + | 144.582i | −0.955702 | + | 2.06546i | ||||
\(71\) | −47.7400 | − | 27.5627i | −0.672395 | − | 0.388207i | 0.124589 | − | 0.992208i | \(-0.460239\pi\) |
−0.796983 | + | 0.604001i | \(0.793572\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 26.0555 | + | 45.1294i | 0.356925 | + | 0.618211i | 0.987445 | − | 0.157961i | \(-0.0504920\pi\) |
−0.630521 | + | 0.776172i | \(0.717159\pi\) | |||||||
\(74\) | −2.69305 | − | 29.7661i | −0.0363925 | − | 0.402244i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.38561 | + | 13.0761i | 0.0313896 | + | 0.172054i | ||||
\(77\) | −28.1031 | + | 159.381i | −0.364975 | + | 2.06988i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 38.8945 | + | 46.3527i | 0.492335 | + | 0.586743i | 0.953810 | − | 0.300411i | \(-0.0971238\pi\) |
−0.461474 | + | 0.887154i | \(0.652679\pi\) | |||||||
\(80\) | −121.796 | − | 42.7032i | −1.52245 | − | 0.533790i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −44.9517 | − | 3.79865i | −0.548191 | − | 0.0463250i | ||||
\(83\) | 79.5175 | + | 94.7653i | 0.958043 | + | 1.14175i | 0.989830 | + | 0.142256i | \(0.0454357\pi\) |
−0.0317873 | + | 0.999495i | \(0.510120\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −11.2701 | + | 63.9161i | −0.132590 | + | 0.751955i | ||||
\(86\) | 27.4873 | + | 101.382i | 0.319620 | + | 1.17886i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −130.713 | − | 10.2665i | −1.48537 | − | 0.116665i | ||||
\(89\) | 87.9969 | + | 152.415i | 0.988729 | + | 1.71253i | 0.624021 | + | 0.781407i | \(0.285498\pi\) |
0.364708 | + | 0.931122i | \(0.381169\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −52.6608 | − | 30.4037i | −0.578690 | − | 0.334107i | ||||
\(92\) | 39.6277 | − | 69.5858i | 0.430736 | − | 0.756367i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 88.4135 | − | 88.9388i | 0.940569 | − | 0.946157i | ||||
\(95\) | −17.2300 | + | 20.5339i | −0.181369 | + | 0.216147i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −36.4756 | − | 13.2760i | −0.376037 | − | 0.136866i | 0.147085 | − | 0.989124i | \(-0.453011\pi\) |
−0.523123 | + | 0.852257i | \(0.675233\pi\) | |||||||
\(98\) | 55.4109 | − | 79.6359i | 0.565418 | − | 0.812612i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −55.7101 | − | 150.287i | −0.557101 | − | 1.50287i | ||||
\(101\) | −7.21786 | − | 40.9345i | −0.0714640 | − | 0.405292i | −0.999465 | − | 0.0327141i | \(-0.989585\pi\) |
0.928001 | − | 0.372578i | \(-0.121526\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 27.5704 | + | 75.7491i | 0.267674 | + | 0.735428i | 0.998596 | + | 0.0529675i | \(0.0168680\pi\) |
−0.730922 | + | 0.682461i | \(0.760910\pi\) | |||||||
\(104\) | 20.4221 | − | 44.8311i | 0.196367 | − | 0.431069i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −30.5462 | + | 21.5237i | −0.288171 | + | 0.203054i | ||||
\(107\) | 17.6548i | 0.164998i | 0.996591 | + | 0.0824990i | \(0.0262901\pi\) | ||||
−0.996591 | + | 0.0824990i | \(0.973710\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 35.9035 | 0.329389 | 0.164695 | − | 0.986345i | \(-0.447336\pi\) | ||||
0.164695 | + | 0.986345i | \(0.447336\pi\) | |||||||
\(110\) | −152.302 | − | 216.145i | −1.38456 | − | 1.96495i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 137.753 | + | 77.3706i | 1.22994 | + | 0.690809i | ||||
\(113\) | 150.999 | − | 54.9591i | 1.33627 | − | 0.486364i | 0.427636 | − | 0.903951i | \(-0.359346\pi\) |
0.908637 | + | 0.417587i | \(0.137124\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 159.036 | − | 28.0424i | 1.38293 | − | 0.243847i | ||||
\(116\) | 24.7085 | + | 66.6550i | 0.213005 | + | 0.574612i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −59.6146 | − | 41.4800i | −0.505209 | − | 0.351526i | ||||
\(119\) | 27.1732 | − | 74.6579i | 0.228347 | − | 0.627377i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −113.078 | − | 94.8835i | −0.934527 | − | 0.784161i | ||||
\(122\) | 130.573 | + | 129.802i | 1.07027 | + | 1.06395i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 53.5508 | − | 94.0348i | 0.431862 | − | 0.758345i | ||||
\(125\) | 60.7818 | − | 105.277i | 0.486254 | − | 0.842217i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −191.078 | + | 110.319i | −1.50455 | + | 0.868653i | −0.504565 | + | 0.863374i | \(0.668347\pi\) |
−0.999986 | + | 0.00527883i | \(0.998320\pi\) | |||||||
\(128\) | −51.6787 | + | 117.104i | −0.403740 | + | 0.914874i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 95.8855 | − | 25.9971i | 0.737581 | − | 0.199977i | ||||
\(131\) | −190.395 | − | 33.5717i | −1.45339 | − | 0.256273i | −0.609502 | − | 0.792785i | \(-0.708630\pi\) |
−0.843893 | + | 0.536512i | \(0.819742\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 25.1364 | − | 21.0919i | 0.188995 | − | 0.158586i | ||||
\(134\) | 0.886312 | − | 10.4883i | 0.00661427 | − | 0.0782706i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 62.3187 | + | 16.1062i | 0.458225 | + | 0.118428i | ||||
\(137\) | −24.6568 | + | 20.6895i | −0.179977 | + | 0.151018i | −0.728325 | − | 0.685231i | \(-0.759701\pi\) |
0.548349 | + | 0.836250i | \(0.315257\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.4986 | + | 2.73282i | 0.111501 | + | 0.0196606i | 0.229120 | − | 0.973398i | \(-0.426415\pi\) |
−0.117619 | + | 0.993059i | \(0.537526\pi\) | |||||||
\(140\) | 57.1852 | + | 313.445i | 0.408466 | + | 2.23889i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −109.802 | + | 9.93423i | −0.773256 | + | 0.0699594i | ||||
\(143\) | 87.4036 | − | 50.4625i | 0.611214 | − | 0.352884i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −71.6791 | + | 124.152i | −0.494338 | + | 0.856219i | ||||
\(146\) | 94.5872 | + | 43.7662i | 0.647858 | + | 0.299768i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −38.6934 | − | 45.5621i | −0.261442 | − | 0.307852i | ||||
\(149\) | −134.724 | − | 113.047i | −0.904190 | − | 0.758705i | 0.0668150 | − | 0.997765i | \(-0.478716\pi\) |
−0.971005 | + | 0.239060i | \(0.923161\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 75.3614 | − | 207.054i | 0.499082 | − | 1.37122i | −0.393082 | − | 0.919504i | \(-0.628591\pi\) |
0.892163 | − | 0.451713i | \(-0.149187\pi\) | |||||||
\(152\) | 18.9639 | + | 18.6299i | 0.124762 | + | 0.122565i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 137.661 | + | 292.946i | 0.893901 | + | 1.90225i | ||||
\(155\) | 214.914 | − | 37.8951i | 1.38654 | − | 0.244485i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 122.495 | − | 44.5844i | 0.780221 | − | 0.283977i | 0.0789561 | − | 0.996878i | \(-0.474841\pi\) |
0.701265 | + | 0.712901i | \(0.252619\pi\) | |||||||
\(158\) | 116.987 | + | 30.9755i | 0.740423 | + | 0.196047i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −248.319 | + | 70.4940i | −1.55199 | + | 0.440588i | ||||
\(161\) | −197.686 | −1.22786 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 29.1697i | − | 0.178955i | −0.995989 | − | 0.0894776i | \(-0.971480\pi\) | ||
0.995989 | − | 0.0894776i | \(-0.0285198\pi\) | |||||||
\(164\) | −77.8675 | + | 45.5739i | −0.474802 | + | 0.277890i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 239.173 | + | 63.3276i | 1.44080 | + | 0.381491i | ||||
\(167\) | 3.33963 | + | 9.17555i | 0.0199978 | + | 0.0549434i | 0.949290 | − | 0.314402i | \(-0.101804\pi\) |
−0.929292 | + | 0.369346i | \(0.879582\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −22.7618 | − | 129.088i | −0.134685 | − | 0.763837i | ||||
\(170\) | 55.2058 | + | 117.480i | 0.324740 | + | 0.691057i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 161.731 | + | 134.084i | 0.940297 | + | 0.779559i | ||||
\(173\) | −104.706 | − | 38.1099i | −0.605237 | − | 0.220288i | 0.0211807 | − | 0.999776i | \(-0.493257\pi\) |
−0.626418 | + | 0.779487i | \(0.715480\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −254.336 | + | 303.106i | −1.45335 | + | 1.73203i | ||||
\(176\) | −225.529 | + | 133.796i | −1.28142 | + | 0.760206i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 319.448 | + | 147.811i | 1.79465 | + | 0.830399i | ||||
\(179\) | −146.156 | − | 84.3833i | −0.816515 | − | 0.471415i | 0.0326983 | − | 0.999465i | \(-0.489590\pi\) |
−0.849213 | + | 0.528050i | \(0.822923\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −97.4396 | − | 168.770i | −0.538340 | − | 0.932433i | −0.998994 | − | 0.0448526i | \(-0.985718\pi\) |
0.460653 | − | 0.887580i | \(-0.347615\pi\) | |||||||
\(182\) | −121.120 | + | 10.9582i | −0.665495 | + | 0.0602098i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −15.3756 | − | 159.417i | −0.0835629 | − | 0.866396i | ||||
\(185\) | 20.9326 | − | 118.714i | 0.113149 | − | 0.641700i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 84.7616 | + | 101.015i | 0.453271 | + | 0.540187i | ||||
\(188\) | 42.0897 | − | 247.258i | 0.223882 | − | 1.31520i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.51425 | + | 53.4199i | −0.0237592 | + | 0.281157i | ||||
\(191\) | −19.8733 | − | 23.6841i | −0.104049 | − | 0.124001i | 0.711507 | − | 0.702679i | \(-0.248013\pi\) |
−0.815556 | + | 0.578679i | \(0.803569\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −30.1168 | + | 170.801i | −0.156046 | + | 0.884979i | 0.801778 | + | 0.597622i | \(0.203888\pi\) |
−0.957824 | + | 0.287357i | \(0.907223\pi\) | |||||||
\(194\) | −74.9280 | + | 20.3149i | −0.386227 | + | 0.104716i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.14932 | − | 194.030i | −0.00586386 | − | 0.989950i | ||||
\(197\) | −113.759 | − | 197.037i | −0.577459 | − | 1.00019i | −0.995770 | − | 0.0918847i | \(-0.970711\pi\) |
0.418310 | − | 0.908304i | \(-0.362622\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −291.449 | − | 168.268i | −1.46457 | − | 0.845570i | −0.465352 | − | 0.885126i | \(-0.654072\pi\) |
−0.999217 | + | 0.0395559i | \(0.987406\pi\) | |||||||
\(200\) | −264.211 | − | 181.525i | −1.32105 | − | 0.907626i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −58.9571 | − | 58.6089i | −0.291867 | − | 0.290143i | ||||
\(203\) | 112.803 | − | 134.433i | 0.555680 | − | 0.662233i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −170.977 | − | 62.2305i | −0.834033 | − | 0.303563i | ||||
\(206\) | 132.338 | + | 92.0811i | 0.642417 | + | 0.446995i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −18.2573 | − | 96.8207i | −0.0877755 | − | 0.465484i | ||||
\(209\) | 9.45717 | + | 53.6343i | 0.0452496 | + | 0.256623i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 24.6193 | + | 67.6409i | 0.116679 | + | 0.320573i | 0.984261 | − | 0.176721i | \(-0.0565491\pi\) |
−0.867582 | + | 0.497294i | \(0.834327\pi\) | |||||||
\(212\) | −25.1445 | + | 70.3783i | −0.118606 | + | 0.331973i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 20.3383 | + | 28.8638i | 0.0950388 | + | 0.134877i | ||||
\(215\) | 423.667i | 1.97054i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −267.143 | −1.23107 | ||||||||
\(218\) | 58.6985 | − | 41.3608i | 0.269259 | − | 0.189728i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −497.997 | − | 177.923i | −2.26362 | − | 0.808740i | ||||
\(221\) | −46.5575 | + | 16.9456i | −0.210668 | + | 0.0766767i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 209.915 | − | 37.0137i | 0.941323 | − | 0.165981i | 0.318129 | − | 0.948048i | \(-0.396946\pi\) |
0.623195 | + | 0.782067i | \(0.285834\pi\) | |||||||
\(224\) | 314.344 | − | 32.1984i | 1.40332 | − | 0.143743i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 183.555 | − | 263.803i | 0.812191 | − | 1.16727i | ||||
\(227\) | −55.0033 | + | 151.120i | −0.242305 | + | 0.665729i | 0.757610 | + | 0.652708i | \(0.226367\pi\) |
−0.999915 | + | 0.0130208i | \(0.995855\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 31.3460 | + | 26.3025i | 0.136882 | + | 0.114858i | 0.708658 | − | 0.705552i | \(-0.249301\pi\) |
−0.571776 | + | 0.820410i | \(0.693745\pi\) | |||||||
\(230\) | 227.704 | − | 229.057i | 0.990016 | − | 0.995898i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 117.183 | + | 80.5100i | 0.505097 | + | 0.347026i | ||||
\(233\) | 129.017 | − | 223.464i | 0.553722 | − | 0.959075i | −0.444280 | − | 0.895888i | \(-0.646540\pi\) |
0.998002 | − | 0.0631867i | \(-0.0201264\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 438.041 | − | 252.903i | 1.86400 | − | 1.07618i | ||||
\(236\) | −145.249 | + | 0.860367i | −0.615462 | + | 0.00364562i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −41.5803 | − | 153.362i | −0.174707 | − | 0.644377i | ||||
\(239\) | 175.267 | + | 30.9043i | 0.733335 | + | 0.129307i | 0.527831 | − | 0.849350i | \(-0.323006\pi\) |
0.205504 | + | 0.978656i | \(0.434117\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 62.2687 | − | 52.2496i | 0.258376 | − | 0.216803i | −0.504393 | − | 0.863474i | \(-0.668284\pi\) |
0.762769 | + | 0.646671i | \(0.223839\pi\) | |||||||
\(242\) | −294.177 | − | 24.8594i | −1.21561 | − | 0.102725i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 363.007 | + | 61.7931i | 1.48773 | + | 0.253250i | ||||
\(245\) | 299.751 | − | 251.521i | 1.22347 | − | 1.02662i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −20.1518 | − | 3.55331i | −0.0815864 | − | 0.0143859i | ||||
\(248\) | −20.7778 | − | 215.428i | −0.0837814 | − | 0.868661i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −21.9071 | − | 242.138i | −0.0876286 | − | 0.968552i | ||||
\(251\) | −369.318 | + | 213.226i | −1.47139 | + | 0.849506i | −0.999483 | − | 0.0321430i | \(-0.989767\pi\) |
−0.471905 | + | 0.881649i | \(0.656433\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 164.054 | − | 284.151i | 0.648437 | − | 1.12313i | ||||
\(254\) | −185.306 | + | 400.482i | −0.729551 | + | 1.57670i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 50.4142 | + | 250.987i | 0.196931 | + | 0.980417i | ||||
\(257\) | 60.1598 | + | 50.4801i | 0.234085 | + | 0.196421i | 0.752283 | − | 0.658840i | \(-0.228953\pi\) |
−0.518198 | + | 0.855261i | \(0.673397\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −50.4701 | + | 138.665i | −0.194865 | + | 0.535388i | ||||
\(260\) | 126.815 | − | 152.963i | 0.487748 | − | 0.588318i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −349.951 | + | 164.448i | −1.33569 | + | 0.627665i | ||||
\(263\) | −211.922 | + | 37.3676i | −0.805789 | + | 0.142082i | −0.561346 | − | 0.827581i | \(-0.689716\pi\) |
−0.244443 | + | 0.969664i | \(0.578605\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −141.626 | + | 51.5475i | −0.534436 | + | 0.194519i | ||||
\(266\) | 16.7976 | − | 63.4403i | 0.0631487 | − | 0.238497i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.6335 | − | 18.1683i | −0.0396771 | − | 0.0677921i | ||||
\(269\) | −155.433 | −0.577816 | −0.288908 | − | 0.957357i | \(-0.593292\pi\) | ||||
−0.288908 | + | 0.957357i | \(0.593292\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 1.75623i | − | 0.00648055i | −0.999995 | − | 0.00324028i | \(-0.998969\pi\) | ||
0.999995 | − | 0.00324028i | \(-0.00103141\pi\) | |||||||
\(272\) | 120.439 | − | 45.4591i | 0.442791 | − | 0.167129i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −16.4771 | + | 62.2299i | −0.0601353 | + | 0.227116i | ||||
\(275\) | −224.613 | − | 617.118i | −0.816773 | − | 2.24407i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 37.9088 | + | 214.991i | 0.136855 | + | 0.776142i | 0.973550 | + | 0.228474i | \(0.0733735\pi\) |
−0.836695 | + | 0.547669i | \(0.815515\pi\) | |||||||
\(278\) | 28.4868 | − | 13.3865i | 0.102471 | − | 0.0481528i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 454.581 | + | 446.574i | 1.62350 | + | 1.59491i | ||||
\(281\) | −230.978 | − | 84.0690i | −0.821984 | − | 0.299178i | −0.103420 | − | 0.994638i | \(-0.532978\pi\) |
−0.718565 | + | 0.695460i | \(0.755201\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 125.013 | − | 148.985i | 0.441743 | − | 0.526449i | −0.498529 | − | 0.866873i | \(-0.666126\pi\) |
0.940272 | + | 0.340424i | \(0.110571\pi\) | |||||||
\(284\) | −168.072 | + | 142.734i | −0.591801 | + | 0.502584i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 84.7633 | − | 183.190i | 0.296375 | − | 0.640524i | ||||
\(287\) | 192.891 | + | 111.366i | 0.672095 | + | 0.388034i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 112.133 | + | 194.219i | 0.388002 | + | 0.672039i | ||||
\(290\) | 25.8348 | + | 285.550i | 0.0890855 | + | 0.984655i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 205.059 | − | 37.4112i | 0.702258 | − | 0.128121i | ||||
\(293\) | 60.6696 | − | 344.075i | 0.207064 | − | 1.17432i | −0.687096 | − | 0.726567i | \(-0.741115\pi\) |
0.894159 | − | 0.447749i | \(-0.147774\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −188.286 | − | 224.391i | −0.638258 | − | 0.760647i | ||||
\(296\) | −115.747 | − | 29.9147i | −0.391038 | − | 0.101063i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −350.491 | − | 29.6183i | −1.17614 | − | 0.0993902i | ||||
\(299\) | 79.2424 | + | 94.4375i | 0.265025 | + | 0.315844i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 90.0586 | − | 510.748i | 0.299198 | − | 1.69684i | ||||
\(302\) | −115.318 | − | 425.328i | −0.381846 | − | 1.40837i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 52.4656 | + | 8.61155i | 0.172584 | + | 0.0283275i | ||||
\(305\) | 371.294 | + | 643.100i | 1.21736 | + | 2.10852i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −44.0218 | − | 25.4160i | −0.143393 | − | 0.0827882i | 0.426587 | − | 0.904447i | \(-0.359716\pi\) |
−0.569980 | + | 0.821658i | \(0.693049\pi\) | |||||||
\(308\) | 562.535 | + | 320.352i | 1.82641 | + | 1.04010i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 307.707 | − | 309.536i | 0.992605 | − | 0.998502i | ||||
\(311\) | 58.2260 | − | 69.3911i | 0.187222 | − | 0.223122i | −0.664266 | − | 0.747496i | \(-0.731256\pi\) |
0.851488 | + | 0.524373i | \(0.175700\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −369.516 | − | 134.493i | −1.18056 | − | 0.429689i | −0.324161 | − | 0.946002i | \(-0.605082\pi\) |
−0.856400 | + | 0.516313i | \(0.827304\pi\) | |||||||
\(314\) | 148.905 | − | 214.005i | 0.474220 | − | 0.681544i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 226.946 | − | 84.1271i | 0.718182 | − | 0.266225i | ||||
\(317\) | −14.4192 | − | 81.7755i | −0.0454865 | − | 0.257967i | 0.953581 | − | 0.301136i | \(-0.0973658\pi\) |
−0.999068 | + | 0.0431689i | \(0.986255\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 99.6201 | + | 273.704i | 0.312289 | + | 0.858006i | ||||
\(320\) | −324.767 | + | 401.314i | −1.01490 | + | 1.25411i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −323.197 | + | 227.734i | −1.00372 | + | 0.707249i | ||||
\(323\) | − | 26.7360i | − | 0.0827740i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 246.749 | 0.759226 | ||||||||
\(326\) | −33.6035 | − | 47.6895i | −0.103078 | − | 0.146287i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −74.8044 | + | 164.212i | −0.228062 | + | 0.500647i | ||||
\(329\) | −581.836 | + | 211.771i | −1.76850 | + | 0.643681i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −315.054 | + | 55.5524i | −0.951823 | + | 0.167832i | −0.627937 | − | 0.778264i | \(-0.716101\pi\) |
−0.323886 | + | 0.946096i | \(0.604989\pi\) | |||||||
\(332\) | 463.977 | − | 171.993i | 1.39752 | − | 0.518051i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 16.0302 | + | 11.1539i | 0.0479946 | + | 0.0333948i | ||||
\(335\) | 14.5198 | − | 39.8929i | 0.0433427 | − | 0.119083i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −152.931 | − | 128.324i | −0.453801 | − | 0.380784i | 0.387043 | − | 0.922062i | \(-0.373496\pi\) |
−0.840844 | + | 0.541278i | \(0.817941\pi\) | |||||||
\(338\) | −185.923 | − | 184.825i | −0.550068 | − | 0.546819i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 225.593 | + | 128.470i | 0.663508 | + | 0.377854i | ||||
\(341\) | 221.695 | − | 383.987i | 0.650132 | − | 1.12606i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.20414 | − | 2.42726i | 0.0122570 | − | 0.00707657i | ||||
\(344\) | 418.879 | + | 32.8998i | 1.21767 | + | 0.0956388i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −215.086 | + | 58.3155i | −0.621637 | + | 0.168542i | ||||
\(347\) | 11.0840 | + | 1.95441i | 0.0319425 | + | 0.00563232i | 0.189597 | − | 0.981862i | \(-0.439282\pi\) |
−0.157654 | + | 0.987494i | \(0.550393\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 499.117 | − | 418.808i | 1.43013 | − | 1.20002i | 0.484499 | − | 0.874792i | \(-0.339002\pi\) |
0.945634 | − | 0.325233i | \(-0.105443\pi\) | |||||||
\(350\) | −66.6358 | + | 788.542i | −0.190388 | + | 2.25298i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −214.584 | + | 478.553i | −0.609614 | + | 1.35953i | ||||
\(353\) | −298.966 | + | 250.862i | −0.846928 | + | 0.710657i | −0.959111 | − | 0.283031i | \(-0.908660\pi\) |
0.112183 | + | 0.993688i | \(0.464216\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −437.919 | − | 77.2169i | −1.23357 | − | 0.217512i | ||||
\(356\) | 692.544 | − | 126.348i | 1.94535 | − | 0.354911i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −336.160 | + | 30.4137i | −0.938995 | + | 0.0849544i | ||||
\(359\) | 254.033 | − | 146.666i | 0.707613 | − | 0.408540i | −0.102564 | − | 0.994726i | \(-0.532705\pi\) |
0.810176 | + | 0.586186i | \(0.199371\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −174.979 | + | 303.072i | −0.484706 | + | 0.839536i | ||||
\(362\) | −353.727 | − | 163.672i | −0.977147 | − | 0.452133i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −185.395 | + | 157.446i | −0.509328 | + | 0.432544i | ||||
\(365\) | 322.013 | + | 270.201i | 0.882228 | + | 0.740277i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 83.0666 | − | 228.224i | 0.226340 | − | 0.621863i | −0.773591 | − | 0.633686i | \(-0.781541\pi\) |
0.999930 | + | 0.0118229i | \(0.00376345\pi\) | |||||||
\(368\) | −208.786 | − | 242.918i | −0.567353 | − | 0.660103i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −102.536 | − | 218.200i | −0.277125 | − | 0.589731i | ||||
\(371\) | 181.693 | − | 32.0374i | 0.489738 | − | 0.0863541i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −245.752 | + | 89.4465i | −0.658853 | + | 0.239803i | −0.649741 | − | 0.760155i | \(-0.725123\pi\) |
−0.00911216 | + | 0.999958i | \(0.502901\pi\) | |||||||
\(374\) | 254.946 | + | 67.5039i | 0.681674 | + | 0.180492i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −216.029 | − | 452.730i | −0.574545 | − | 1.20407i | ||||
\(377\) | −109.438 | −0.290286 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 691.822i | 1.82539i | 0.408643 | + | 0.912694i | \(0.366002\pi\) | ||||
−0.408643 | + | 0.912694i | \(0.633998\pi\) | |||||||
\(380\) | 54.1594 | + | 92.5366i | 0.142525 | + | 0.243517i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −59.7750 | − | 15.8271i | −0.156479 | − | 0.0414321i | ||||
\(383\) | 51.3904 | + | 141.194i | 0.134179 | + | 0.368653i | 0.988526 | − | 0.151049i | \(-0.0482652\pi\) |
−0.854348 | + | 0.519702i | \(0.826043\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 226.696 | + | 1285.66i | 0.588822 | + | 3.33938i | ||||
\(386\) | 147.525 | + | 313.937i | 0.382188 | + | 0.813308i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −99.0969 | + | 119.530i | −0.255405 | + | 0.308067i | ||||
\(389\) | 488.180 | + | 177.683i | 1.25496 | + | 0.456768i | 0.882075 | − | 0.471109i | \(-0.156146\pi\) |
0.372886 | + | 0.927877i | \(0.378368\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −103.536 | + | 123.389i | −0.264798 | + | 0.315574i | ||||
\(392\) | −225.402 | − | 315.896i | −0.575004 | − | 0.805856i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −412.972 | − | 191.085i | −1.04815 | − | 0.484988i | ||||
\(395\) | 422.709 | + | 244.051i | 1.07015 | + | 0.617851i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −24.3799 | − | 42.2272i | −0.0614103 | − | 0.106366i | 0.833686 | − | 0.552239i | \(-0.186226\pi\) |
−0.895096 | + | 0.445873i | \(0.852893\pi\) | |||||||
\(398\) | −670.336 | + | 60.6478i | −1.68426 | + | 0.152381i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −641.075 | + | 7.59494i | −1.60269 | + | 0.0189874i | ||||
\(401\) | −56.2085 | + | 318.774i | −0.140171 | + | 0.794948i | 0.830948 | + | 0.556350i | \(0.187799\pi\) |
−0.971119 | + | 0.238597i | \(0.923312\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 107.084 | + | 127.618i | 0.265718 | + | 0.316670i | ||||
\(404\) | −163.906 | − | 27.9011i | −0.405709 | − | 0.0690621i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 29.5543 | − | 349.734i | 0.0727939 | − | 0.861414i | ||||
\(407\) | −157.432 | − | 187.620i | −0.386810 | − | 0.460982i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −115.513 | + | 655.106i | −0.282427 | + | 1.60173i | 0.431905 | + | 0.901919i | \(0.357842\pi\) |
−0.714333 | + | 0.699806i | \(0.753270\pi\) | |||||||
\(410\) | −351.219 | + | 95.2247i | −0.856633 | + | 0.232255i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 322.436 | − | 1.90992i | 0.782613 | − | 0.00463572i | ||||
\(413\) | 179.288 | + | 310.536i | 0.434112 | + | 0.751904i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 864.204 | + | 498.949i | 2.08242 | + | 1.20229i | ||||
\(416\) | −141.386 | − | 137.260i | −0.339871 | − | 0.329951i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 77.2482 | + | 76.7920i | 0.184804 | + | 0.183713i | ||||
\(419\) | 152.424 | − | 181.652i | 0.363781 | − | 0.433537i | −0.552845 | − | 0.833284i | \(-0.686458\pi\) |
0.916625 | + | 0.399747i | \(0.130902\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −580.285 | − | 211.207i | −1.37835 | − | 0.501678i | −0.456672 | − | 0.889635i | \(-0.650959\pi\) |
−0.921678 | + | 0.387957i | \(0.873181\pi\) | |||||||
\(422\) | 118.172 | + | 82.2247i | 0.280029 | + | 0.194845i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 39.9671 | + | 144.028i | 0.0942619 | + | 0.339689i | ||||
\(425\) | 55.9833 | + | 317.497i | 0.131725 | + | 0.747051i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −310.907 | − | 854.209i | −0.728118 | − | 2.00049i | ||||
\(428\) | 66.5022 | + | 23.7597i | 0.155379 | + | 0.0555132i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 488.064 | + | 692.652i | 1.13503 | + | 1.61082i | ||||
\(431\) | − | 366.813i | − | 0.851075i | −0.904941 | − | 0.425538i | \(-0.860085\pi\) | ||
0.904941 | − | 0.425538i | \(-0.139915\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 485.644 | 1.12158 | 0.560790 | − | 0.827958i | \(-0.310497\pi\) | ||||
0.560790 | + | 0.827958i | \(0.310497\pi\) | |||||||
\(434\) | −436.752 | + | 307.749i | −1.00634 | + | 0.709098i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 48.3186 | − | 135.241i | 0.110822 | − | 0.310187i | ||||
\(437\) | −62.5127 | + | 22.7528i | −0.143050 | + | 0.0520659i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 645.820 | − | 113.875i | 1.47112 | − | 0.259397i | 0.620094 | − | 0.784528i | \(-0.287095\pi\) |
0.851022 | + | 0.525130i | \(0.175983\pi\) | |||||||
\(440\) | −1019.14 | + | 282.807i | −2.31623 | + | 0.642743i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −56.5956 | + | 81.3386i | −0.128044 | + | 0.184024i | ||||
\(443\) | −89.5630 | + | 246.072i | −0.202174 | + | 0.555468i | −0.998798 | − | 0.0490061i | \(-0.984395\pi\) |
0.796625 | + | 0.604474i | \(0.206617\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1087.53 | + | 912.547i | 2.44389 | + | 2.05067i | ||||
\(446\) | 300.550 | − | 302.336i | 0.673880 | − | 0.677883i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 476.827 | − | 414.765i | 1.06435 | − | 0.925815i | ||||
\(449\) | −302.012 | + | 523.100i | −0.672633 | + | 1.16503i | 0.304522 | + | 0.952505i | \(0.401503\pi\) |
−0.977155 | + | 0.212529i | \(0.931830\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −320.151 | + | 184.839i | −0.709869 | + | 0.409843i | ||||
\(452\) | −3.80724 | − | 642.747i | −0.00842311 | − | 1.42201i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 84.1658 | + | 310.430i | 0.185387 | + | 0.683767i | ||||
\(455\) | −483.057 | − | 85.1760i | −1.06166 | − | 0.187200i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 308.359 | − | 258.744i | 0.674747 | − | 0.566180i | −0.239719 | − | 0.970842i | \(-0.577055\pi\) |
0.914466 | + | 0.404662i | \(0.132611\pi\) | |||||||
\(458\) | 81.5480 | + | 6.89123i | 0.178052 | + | 0.0150463i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 108.400 | − | 636.799i | 0.235651 | − | 1.38435i | ||||
\(461\) | −163.353 | + | 137.069i | −0.354344 | + | 0.297330i | −0.802532 | − | 0.596609i | \(-0.796514\pi\) |
0.448187 | + | 0.893940i | \(0.352070\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −121.366 | − | 21.4001i | −0.262130 | − | 0.0462206i | 0.0410384 | − | 0.999158i | \(-0.486933\pi\) |
−0.303169 | + | 0.952937i | \(0.598045\pi\) | |||||||
\(464\) | 284.329 | − | 3.36851i | 0.612779 | − | 0.00725971i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −46.5008 | − | 513.970i | −0.0997871 | − | 1.10294i | ||||
\(467\) | 161.897 | − | 93.4714i | 0.346675 | − | 0.200153i | −0.316545 | − | 0.948578i | \(-0.602523\pi\) |
0.663220 | + | 0.748425i | \(0.269189\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −25.9842 | + | 45.0060i | −0.0554035 | + | 0.0959616i | ||||
\(470\) | 424.809 | − | 918.094i | 0.903848 | − | 1.95339i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −236.476 | + | 168.733i | −0.501009 | + | 0.357486i | ||||
\(473\) | 659.403 | + | 553.305i | 1.39409 | + | 1.16978i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −45.5406 | + | 125.122i | −0.0958749 | + | 0.263414i | ||||
\(476\) | −244.652 | − | 202.830i | −0.513975 | − | 0.426114i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 322.146 | − | 151.382i | 0.673945 | − | 0.316699i | ||||
\(479\) | −507.526 | + | 89.4906i | −1.05955 | + | 0.186828i | −0.676158 | − | 0.736756i | \(-0.736356\pi\) |
−0.383395 | + | 0.923584i | \(0.625245\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 86.4735 | − | 31.4738i | 0.179779 | − | 0.0654340i | ||||
\(482\) | 41.6115 | − | 157.156i | 0.0863308 | − | 0.326051i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −509.587 | + | 298.249i | −1.05287 | + | 0.616216i | ||||
\(485\) | −313.118 | −0.645603 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 318.498i | − | 0.654000i | −0.945024 | − | 0.327000i | \(-0.893962\pi\) | ||
0.945024 | − | 0.327000i | \(-0.106038\pi\) | |||||||
\(488\) | 664.665 | − | 317.158i | 1.36202 | − | 0.649914i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 200.311 | − | 756.525i | 0.408798 | − | 1.54393i | ||||
\(491\) | 288.906 | + | 793.764i | 0.588404 | + | 1.61663i | 0.773422 | + | 0.633892i | \(0.218544\pi\) |
−0.185018 | + | 0.982735i | \(0.559234\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −24.8297 | − | 140.816i | −0.0503644 | − | 0.285631i | ||||
\(494\) | −37.0396 | + | 17.4056i | −0.0749790 | + | 0.0352340i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −282.143 | − | 328.267i | −0.568836 | − | 0.661829i | ||||
\(497\) | 511.515 | + | 186.176i | 1.02921 | + | 0.374600i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 159.217 | − | 189.747i | 0.319072 | − | 0.380255i | −0.582539 | − | 0.812802i | \(-0.697941\pi\) |
0.901611 | + | 0.432548i | \(0.142385\pi\) | |||||||
\(500\) | −314.759 | − | 370.634i | −0.629518 | − | 0.741269i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −358.162 | + | 774.058i | −0.713470 | + | 1.54195i | ||||
\(503\) | −602.610 | − | 347.917i | −1.19803 | − | 0.691684i | −0.237915 | − | 0.971286i | \(-0.576464\pi\) |
−0.960116 | + | 0.279602i | \(0.909797\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −167.648 | − | 290.375i | −0.331977 | − | 0.575000i | ||||
\(506\) | −59.1290 | − | 653.549i | −0.116856 | − | 1.29160i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 158.399 | + | 868.220i | 0.311809 | + | 1.70909i | ||||
\(509\) | 107.678 | − | 610.672i | 0.211548 | − | 1.19975i | −0.675249 | − | 0.737590i | \(-0.735964\pi\) |
0.886797 | − | 0.462159i | \(-0.152925\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −330.764 | − | 394.189i | −0.647287 | − | 0.771407i | ||||
\(512\) | 371.559 | + | 352.261i | 0.725701 | + | 0.688010i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 156.508 | + | 13.2258i | 0.304491 | + | 0.0257310i | ||||
\(515\) | 417.974 | + | 498.122i | 0.811601 | + | 0.967228i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 178.454 | − | 1012.06i | 0.345173 | − | 1.95757i | ||||
\(518\) | 77.2291 | + | 284.846i | 0.149091 | + | 0.549895i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 31.1160 | − | 396.169i | 0.0598386 | − | 0.761863i | ||||
\(521\) | −492.557 | − | 853.134i | −0.945408 | − | 1.63749i | −0.754933 | − | 0.655802i | \(-0.772331\pi\) |
−0.190475 | − | 0.981692i | \(-0.561003\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −257.700 | − | 148.783i | −0.492735 | − | 0.284481i | 0.232973 | − | 0.972483i | \(-0.425154\pi\) |
−0.725708 | + | 0.688002i | \(0.758488\pi\) | |||||||
\(524\) | −382.690 | + | 671.999i | −0.730324 | + | 1.28244i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −303.424 | + | 305.227i | −0.576852 | + | 0.580279i | ||||
\(527\) | −139.913 | + | 166.742i | −0.265490 | + | 0.316399i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −120.484 | − | 43.8526i | −0.227758 | − | 0.0828972i | ||||
\(530\) | −172.161 | + | 247.428i | −0.324832 | + | 0.466845i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −45.6209 | − | 123.069i | −0.0857536 | − | 0.231333i | ||||
\(533\) | −24.1194 | − | 136.788i | −0.0452522 | − | 0.256638i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 48.7084 | + | 133.825i | 0.0910438 | + | 0.250141i | ||||
\(536\) | −38.3145 | − | 17.4536i | −0.0714823 | − | 0.0325627i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −254.117 | + | 179.058i | −0.472336 | + | 0.332822i | ||||
\(539\) | − | 795.023i | − | 1.47500i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −454.094 | −0.839361 | −0.419680 | − | 0.907672i | \(-0.637858\pi\) | ||||
−0.419680 | + | 0.907672i | \(0.637858\pi\) | |||||||
\(542\) | −2.02318 | − | 2.87126i | −0.00373280 | − | 0.00529752i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 144.537 | − | 213.067i | 0.265693 | − | 0.391667i | ||||
\(545\) | 272.153 | − | 99.0554i | 0.499362 | − | 0.181753i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −487.249 | + | 85.9151i | −0.890765 | + | 0.157066i | −0.600258 | − | 0.799807i | \(-0.704935\pi\) |
−0.290508 | + | 0.956873i | \(0.593824\pi\) | |||||||
\(548\) | 44.7505 | + | 120.721i | 0.0816614 | + | 0.220294i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1078.14 | − | 750.172i | −1.96025 | − | 1.36395i | ||||
\(551\) | 20.1981 | − | 55.4940i | 0.0366573 | − | 0.100715i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −457.716 | − | 384.069i | −0.827695 | − | 0.694519i | ||||
\(554\) | 309.647 | + | 307.818i | 0.558930 | + | 0.555629i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 31.1519 | − | 54.7024i | 0.0560285 | − | 0.0983856i | ||||
\(557\) | −16.2577 | + | 28.1591i | −0.0291879 | + | 0.0505550i | −0.880250 | − | 0.474509i | \(-0.842625\pi\) |
0.851062 | + | 0.525064i | \(0.175959\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −280.092 | + | 161.711i | −0.501058 | + | 0.289286i | ||||
\(560\) | 1257.65 | + | 206.426i | 2.24580 | + | 0.368618i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −474.473 | + | 128.642i | −0.844257 | + | 0.228900i | ||||
\(563\) | 141.933 | + | 25.0265i | 0.252100 | + | 0.0444521i | 0.298270 | − | 0.954482i | \(-0.403590\pi\) |
−0.0461697 | + | 0.998934i | \(0.514701\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 992.961 | − | 833.193i | 1.75745 | − | 1.47468i | ||||
\(566\) | 32.7534 | − | 387.591i | 0.0578682 | − | 0.684790i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −110.351 | + | 426.974i | −0.194280 | + | 0.751715i | ||||
\(569\) | −138.945 | + | 116.589i | −0.244191 | + | 0.204901i | −0.756666 | − | 0.653801i | \(-0.773173\pi\) |
0.512475 | + | 0.858702i | \(0.328729\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 845.424 | + | 149.071i | 1.48060 | + | 0.261070i | 0.854819 | − | 0.518927i | \(-0.173668\pi\) |
0.625783 | + | 0.779997i | \(0.284779\pi\) | |||||||
\(572\) | −72.4554 | − | 397.145i | −0.126670 | − | 0.694309i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 443.651 | − | 40.1388i | 0.772912 | − | 0.0699283i | ||||
\(575\) | 694.712 | − | 401.092i | 1.20819 | − | 0.697552i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 340.538 | − | 589.830i | 0.590188 | − | 1.02224i | −0.404019 | − | 0.914751i | \(-0.632387\pi\) |
0.994207 | − | 0.107484i | \(-0.0342796\pi\) | |||||||
\(578\) | 407.066 | + | 188.352i | 0.704267 | + | 0.325869i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 371.191 | + | 437.084i | 0.639984 | + | 0.753593i | ||||
\(581\) | −935.773 | − | 785.207i | −1.61062 | − | 1.35147i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −104.732 | + | 287.749i | −0.179644 | + | 0.493567i | ||||
\(584\) | 292.153 | − | 297.392i | 0.500263 | − | 0.509232i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −297.185 | − | 632.419i | −0.507142 | − | 1.07921i | ||||
\(587\) | −542.437 | + | 95.6463i | −0.924084 | + | 0.162941i | −0.615392 | − | 0.788221i | \(-0.711002\pi\) |
−0.308692 | + | 0.951162i | \(0.599891\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −84.4766 | + | 30.7470i | −0.143424 | + | 0.0522020i | ||||
\(590\) | −566.327 | − | 149.951i | −0.959877 | − | 0.254154i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −223.697 | + | 84.4333i | −0.377867 | + | 0.142624i | ||||
\(593\) | 815.019 | 1.37440 | 0.687200 | − | 0.726468i | \(-0.258840\pi\) | ||||
0.687200 | + | 0.726468i | \(0.258840\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 640.885i | − | 1.07712i | ||||||
\(596\) | −607.138 | + | 355.343i | −1.01869 | + | 0.596212i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 238.345 | + | 63.1085i | 0.398571 | + | 0.105533i | ||||
\(599\) | 261.738 | + | 719.120i | 0.436959 | + | 1.20053i | 0.941461 | + | 0.337123i | \(0.109454\pi\) |
−0.504502 | + | 0.863411i | \(0.668324\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.1717 | − | 74.7002i | −0.0219162 | − | 0.124293i | 0.971887 | − | 0.235449i | \(-0.0756559\pi\) |
−0.993803 | + | 0.111156i | \(0.964545\pi\) | |||||||
\(602\) | −441.145 | − | 938.769i | −0.732798 | − | 1.55942i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −678.511 | − | 562.523i | −1.12336 | − | 0.931329i | ||||
\(605\) | −1118.92 | − | 407.254i | −1.84946 | − | 0.673147i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 741.278 | − | 883.420i | 1.22122 | − | 1.45539i | 0.371264 | − | 0.928527i | \(-0.378925\pi\) |
0.849952 | − | 0.526860i | \(-0.176631\pi\) | |||||||
\(608\) | 95.6966 | − | 46.3614i | 0.157396 | − | 0.0762523i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1347.88 | + | 623.673i | 2.20964 | + | 1.02241i | ||||
\(611\) | 334.395 | + | 193.063i | 0.547291 | + | 0.315979i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 582.872 | + | 1009.56i | 0.950852 | + | 1.64692i | 0.743587 | + | 0.668639i | \(0.233123\pi\) |
0.207265 | + | 0.978285i | \(0.433544\pi\) | |||||||
\(614\) | −101.250 | + | 9.16050i | −0.164903 | + | 0.0149194i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1288.73 | − | 124.297i | 2.09210 | − | 0.201781i | ||||
\(617\) | −55.5811 | + | 315.216i | −0.0900828 | + | 0.510885i | 0.906061 | + | 0.423147i | \(0.139075\pi\) |
−0.996144 | + | 0.0877375i | \(0.972036\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.81103 | + | 5.73357i | 0.00777227 | + | 0.00926263i | 0.769917 | − | 0.638145i | \(-0.220298\pi\) |
−0.762144 | + | 0.647407i | \(0.775853\pi\) | |||||||
\(620\) | 146.486 | − | 860.538i | 0.236267 | − | 1.38797i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.2552 | − | 180.524i | 0.0245260 | − | 0.290231i | ||||
\(623\) | −1117.08 | − | 1331.29i | −1.79307 | − | 2.13690i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.67192 | + | 20.8245i | −0.00587507 | + | 0.0333192i | ||||
\(626\) | −759.056 | + | 205.800i | −1.21255 | + | 0.328754i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.08855 | − | 521.415i | −0.00491807 | − | 0.830279i | ||||
\(629\) | 60.1174 | + | 104.126i | 0.0955762 | + | 0.165543i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 519.028 | + | 299.661i | 0.822549 | + | 0.474899i | 0.851295 | − | 0.524688i | \(-0.175818\pi\) |
−0.0287456 | + | 0.999587i | \(0.509151\pi\) | |||||||
\(632\) | 274.119 | − | 398.980i | 0.433732 | − | 0.631298i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −117.779 | − | 117.084i | −0.185772 | − | 0.184675i | ||||
\(635\) | −1144.03 | + | 1363.40i | −1.80162 | + | 2.14709i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 280.697 | + | 102.165i | 0.440655 | + | 0.160385i | ||||
\(638\) | 478.176 | + | 332.716i | 0.749492 | + | 0.521499i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −68.6482 | + | 1030.24i | −0.107263 | + | 1.60975i | ||||
\(641\) | −65.6070 | − | 372.076i | −0.102351 | − | 0.580462i | −0.992245 | − | 0.124295i | \(-0.960333\pi\) |
0.889894 | − | 0.456167i | \(-0.150778\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 240.323 | + | 660.282i | 0.373753 | + | 1.02688i | 0.973898 | + | 0.226986i | \(0.0728872\pi\) |
−0.600145 | + | 0.799891i | \(0.704891\pi\) | |||||||
\(644\) | −266.044 | + | 744.645i | −0.413112 | + | 1.15628i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −30.7999 | − | 43.7107i | −0.0476778 | − | 0.0676636i | ||||
\(647\) | 1201.08i | 1.85638i | 0.372111 | + | 0.928188i | \(0.378634\pi\) | ||||
−0.372111 | + | 0.928188i | \(0.621366\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −595.146 | −0.917021 | ||||||||
\(650\) | 403.409 | − | 284.254i | 0.620629 | − | 0.437314i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −109.877 | − | 39.2564i | −0.168523 | − | 0.0602091i | ||||
\(653\) | 567.170 | − | 206.433i | 0.868560 | − | 0.316130i | 0.130976 | − | 0.991386i | \(-0.458189\pi\) |
0.737584 | + | 0.675256i | \(0.235967\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1535.84 | + | 270.809i | −2.34479 | + | 0.413450i | ||||
\(656\) | 66.8747 | + | 354.645i | 0.101943 | + | 0.540617i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −707.283 | + | 1016.50i | −1.07490 | + | 1.54483i | ||||
\(659\) | 288.066 | − | 791.455i | 0.437126 | − | 1.20099i | −0.504227 | − | 0.863571i | \(-0.668223\pi\) |
0.941353 | − | 0.337423i | \(-0.109555\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −660.176 | − | 553.953i | −0.998753 | − | 0.838053i | −0.0119415 | − | 0.999929i | \(-0.503801\pi\) |
−0.986811 | + | 0.161876i | \(0.948246\pi\) | |||||||
\(662\) | −451.084 | + | 453.764i | −0.681396 | + | 0.685445i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 560.420 | − | 815.692i | 0.844006 | − | 1.22845i | ||||
\(665\) | 132.345 | − | 229.229i | 0.199016 | − | 0.344705i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −308.118 | + | 177.892i | −0.461947 | + | 0.266705i | ||||
\(668\) | 39.0570 | − | 0.231350i | 0.0584685 | − | 0.000346332i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −22.2181 | − | 81.9476i | −0.0331614 | − | 0.122310i | ||||
\(671\) | 1485.84 | + | 261.994i | 2.21437 | + | 0.390452i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −909.054 | + | 762.787i | −1.35075 | + | 1.13341i | −0.372027 | + | 0.928222i | \(0.621337\pi\) |
−0.978722 | + | 0.205191i | \(0.934218\pi\) | |||||||
\(674\) | −397.856 | − | 33.6209i | −0.590291 | − | 0.0498826i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −516.884 | − | 87.9869i | −0.764621 | − | 0.130158i | ||||
\(677\) | 125.669 | − | 105.449i | 0.185627 | − | 0.155759i | −0.545239 | − | 0.838281i | \(-0.683561\pi\) |
0.730866 | + | 0.682521i | \(0.239117\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 377.476 | + | 66.5592i | 0.555930 | + | 0.0980254i | ||||
\(680\) | 516.819 | − | 49.8466i | 0.760028 | − | 0.0733038i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −79.9040 | − | 883.173i | −0.117161 | − | 1.29497i | ||||
\(683\) | 640.955 | − | 370.056i | 0.938441 | − | 0.541809i | 0.0489695 | − | 0.998800i | \(-0.484406\pi\) |
0.889471 | + | 0.456991i | \(0.151073\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −129.820 | + | 224.856i | −0.189519 | + | 0.328256i | ||||
\(686\) | 4.07714 | − | 8.81150i | 0.00594336 | − | 0.0128448i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 722.725 | − | 428.761i | 1.05047 | − | 0.623199i | ||||
\(689\) | −88.1363 | − | 73.9551i | −0.127919 | − | 0.107337i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −347.369 | + | 954.389i | −0.502705 | + | 1.38117i | 0.385918 | + | 0.922533i | \(0.373885\pi\) |
−0.888623 | + | 0.458638i | \(0.848338\pi\) | |||||||
\(692\) | −284.465 | + | 343.120i | −0.411077 | + | 0.495838i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 20.3728 | − | 9.57353i | 0.0293556 | − | 0.0137947i | ||||
\(695\) | 125.021 | − | 22.0445i | 0.179886 | − | 0.0317188i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 170.536 | − | 62.0700i | 0.244671 | − | 0.0890530i | ||||
\(698\) | 333.538 | − | 1259.69i | 0.477848 | − | 1.80472i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 799.458 | + | 1365.95i | 1.14208 | + | 1.95136i | ||||
\(701\) | −418.263 | −0.596666 | −0.298333 | − | 0.954462i | \(-0.596431\pi\) | ||||
−0.298333 | + | 0.954462i | \(0.596431\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 49.6580i | 0.0706373i | ||||||||
\(704\) | 200.470 | + | 1029.59i | 0.284758 | + | 1.46248i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −199.786 | + | 754.542i | −0.282983 | + | 1.06876i | ||||
\(707\) | 140.382 | + | 385.696i | 0.198560 | + | 0.545539i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 175.990 | + | 998.089i | 0.248223 | + | 1.40774i | 0.812887 | + | 0.582421i | \(0.197894\pi\) |
−0.564665 | + | 0.825320i | \(0.690994\pi\) | |||||||
\(710\) | −804.907 | + | 378.241i | −1.13367 | + | 0.532733i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 986.686 | − | 1004.38i | 1.38580 | − | 1.41064i | ||||
\(713\) | 508.936 | + | 185.238i | 0.713796 | + | 0.259800i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 523.307 | − | 623.653i | 0.731898 | − | 0.872242i | ||||
\(716\) | −514.551 | + | 436.980i | −0.718647 | + | 0.610307i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 246.359 | − | 532.430i | 0.343119 | − | 0.741546i | ||||
\(719\) | −982.339 | − | 567.154i | −1.36626 | − | 0.788809i | −0.375809 | − | 0.926697i | \(-0.622635\pi\) |
−0.990448 | + | 0.137888i | \(0.955968\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −398.000 | − | 689.356i | −0.552011 | − | 0.956110i | ||||
\(722\) | 63.0664 | + | 697.068i | 0.0873496 | + | 0.965469i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −766.859 | + | 139.906i | −1.05920 | + | 0.193241i | ||||
\(725\) | −123.658 | + | 701.298i | −0.170562 | + | 0.967308i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 81.1979 | + | 96.7678i | 0.111689 | + | 0.133106i | 0.818992 | − | 0.573804i | \(-0.194533\pi\) |
−0.707303 | + | 0.706910i | \(0.750089\pi\) | |||||||
\(728\) | −121.725 | + | 470.984i | −0.167205 | + | 0.646955i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 837.731 | + | 70.7925i | 1.14758 | + | 0.0969761i | ||||
\(731\) | −271.625 | − | 323.710i | −0.371580 | − | 0.442832i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.34916 | + | 7.65145i | −0.00184060 | + | 0.0104385i | −0.985714 | − | 0.168426i | \(-0.946131\pi\) |
0.983874 | + | 0.178865i | \(0.0572425\pi\) | |||||||
\(734\) | −127.108 | − | 468.815i | −0.173172 | − | 0.638713i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −621.185 | − | 156.625i | −0.844001 | − | 0.212806i | ||||
\(737\) | −43.1273 | − | 74.6986i | −0.0585173 | − | 0.101355i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −859.244 | − | 496.085i | −1.16271 | − | 0.671292i | −0.210759 | − | 0.977538i | \(-0.567594\pi\) |
−0.951952 | + | 0.306246i | \(0.900927\pi\) | |||||||
\(740\) | −419.004 | − | 238.614i | −0.566221 | − | 0.322451i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 260.143 | − | 261.688i | 0.350596 | − | 0.352679i | ||||
\(743\) | 376.614 | − | 448.831i | 0.506883 | − | 0.604080i | −0.450544 | − | 0.892754i | \(-0.648770\pi\) |
0.957427 | + | 0.288674i | \(0.0932144\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1333.12 | − | 485.215i | −1.78942 | − | 0.651295i | ||||
\(746\) | −298.738 | + | 429.343i | −0.400453 | + | 0.575526i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 494.576 | − | 183.336i | 0.661197 | − | 0.245101i | ||||
\(749\) | −30.2729 | − | 171.686i | −0.0404177 | − | 0.229220i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −46.8479 | − | 128.714i | −0.0623807 | − | 0.171390i | 0.904587 | − | 0.426290i | \(-0.140180\pi\) |
−0.966967 | + | 0.254900i | \(0.917957\pi\) | |||||||
\(752\) | −874.731 | − | 491.302i | −1.16321 | − | 0.653328i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −178.920 | + | 126.072i | −0.237294 | + | 0.167205i | ||||
\(755\) | − | 1777.41i | − | 2.35418i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 906.432 | 1.19740 | 0.598700 | − | 0.800973i | \(-0.295684\pi\) | ||||
0.598700 | + | 0.800973i | \(0.295684\pi\) | |||||||
\(758\) | 796.979 | + | 1131.06i | 1.05142 | + | 1.49216i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 195.147 | + | 88.8964i | 0.256773 | + | 0.116969i | ||||
\(761\) | −109.794 | + | 39.9619i | −0.144276 | + | 0.0525123i | −0.413149 | − | 0.910663i | \(-0.635571\pi\) |
0.268873 | + | 0.963176i | \(0.413349\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −349.147 | + | 61.5641i | −0.457598 | + | 0.0806869i | ||||
\(764\) | −115.959 | + | 42.9851i | −0.151779 | + | 0.0562632i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 246.674 | + | 171.636i | 0.322028 | + | 0.224068i | ||||
\(767\) | 76.4800 | − | 210.127i | 0.0997131 | − | 0.273960i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 382.761 | + | 321.174i | 0.497738 | + | 0.417652i | 0.856790 | − | 0.515666i | \(-0.172455\pi\) |
−0.359052 | + | 0.933318i | \(0.616900\pi\) | |||||||
\(770\) | 1851.71 | + | 1840.77i | 2.40481 | + | 2.39061i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 602.843 | + | 343.307i | 0.780885 | + | 0.444698i | ||||
\(773\) | −203.400 | + | 352.299i | −0.263131 | + | 0.455756i | −0.967072 | − | 0.254502i | \(-0.918088\pi\) |
0.703942 | + | 0.710258i | \(0.251422\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 938.799 | − | 542.016i | 1.21135 | − | 0.699375i | ||||
\(776\) | −24.3151 | + | 309.579i | −0.0313339 | + | 0.398942i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1002.82 | − | 271.889i | 1.28897 | − | 0.349472i | ||||
\(779\) | 73.8143 | + | 13.0154i | 0.0947552 | + | 0.0167079i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −692.100 | + | 580.741i | −0.886172 | + | 0.743587i | ||||
\(782\) | −27.1264 | + | 321.003i | −0.0346884 | + | 0.410489i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −732.421 | − | 256.795i | −0.934210 | − | 0.327545i | ||||
\(785\) | 805.519 | − | 675.911i | 1.02614 | − | 0.861033i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 546.498 | + | 96.3624i | 0.694407 | + | 0.122443i | 0.509702 | − | 0.860351i | \(-0.329756\pi\) |
0.184706 | + | 0.982794i | \(0.440867\pi\) | |||||||
\(788\) | −895.298 | + | 163.339i | −1.13617 | + | 0.207283i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 972.234 | − | 87.9617i | 1.23068 | − | 0.111344i | ||||
\(791\) | −1374.17 | + | 793.376i | −1.73725 | + | 1.00300i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −283.441 | + | 490.934i | −0.357429 | + | 0.619085i | ||||
\(794\) | −88.5044 | − | 40.9516i | −0.111467 | − | 0.0515763i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1026.06 | + | 871.380i | −1.28903 | + | 1.09470i | ||||
\(797\) | −185.771 | − | 155.880i | −0.233088 | − | 0.195584i | 0.518761 | − | 0.854919i | \(-0.326393\pi\) |
−0.751849 | + | 0.659335i | \(0.770838\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −172.550 | + | 474.076i | −0.215957 | + | 0.593337i | ||||
\(800\) | −1039.34 | + | 750.935i | −1.29918 | + | 0.938669i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 275.333 | + | 585.916i | 0.343307 | + | 0.730568i | ||||
\(803\) | 841.093 | − | 148.307i | 1.04744 | − | 0.184692i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1498.48 | + | 545.404i | −1.86147 | + | 0.677520i | ||||
\(806\) | 322.088 | + | 85.2816i | 0.399613 | + | 0.105808i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −300.112 | + | 143.205i | −0.371426 | + | 0.177233i | ||||
\(809\) | 358.925 | 0.443666 | 0.221833 | − | 0.975085i | \(-0.428796\pi\) | ||||
0.221833 | + | 0.975085i | \(0.428796\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 474.238i | 0.584757i | 0.956303 | + | 0.292379i | \(0.0944468\pi\) | ||||
−0.956303 | + | 0.292379i | \(0.905553\pi\) | |||||||
\(812\) | −354.575 | − | 605.826i | −0.436669 | − | 0.746092i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −473.523 | − | 125.378i | −0.581724 | − | 0.154027i | ||||
\(815\) | −80.4774 | − | 221.110i | −0.0987453 | − | 0.271300i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −30.3062 | − | 171.875i | −0.0370945 | − | 0.210374i | ||||
\(818\) | 565.830 | + | 1204.10i | 0.691724 | + | 1.47201i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −464.510 | + | 560.288i | −0.566475 | + | 0.683278i | ||||
\(821\) | −721.915 | − | 262.755i | −0.879311 | − | 0.320043i | −0.137380 | − | 0.990518i | \(-0.543868\pi\) |
−0.741932 | + | 0.670475i | \(0.766090\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −541.613 | + | 645.469i | −0.658096 | + | 0.784288i | −0.987111 | − | 0.160037i | \(-0.948839\pi\) |
0.329015 | + | 0.944325i | \(0.393283\pi\) | |||||||
\(824\) | 524.951 | − | 374.569i | 0.637076 | − | 0.454574i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 650.856 | + | 301.156i | 0.787961 | + | 0.364595i | ||||
\(827\) | 99.9028 | + | 57.6789i | 0.120801 | + | 0.0697447i | 0.559183 | − | 0.829044i | \(-0.311115\pi\) |
−0.438382 | + | 0.898789i | \(0.644448\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −612.938 | − | 1061.64i | −0.739370 | − | 1.28063i | −0.952779 | − | 0.303663i | \(-0.901790\pi\) |
0.213410 | − | 0.976963i | \(-0.431543\pi\) | |||||||
\(830\) | 1987.68 | − | 179.833i | 2.39479 | − | 0.216666i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −389.276 | − | 61.5288i | −0.467879 | − | 0.0739529i | ||||
\(833\) | −67.7728 | + | 384.359i | −0.0813600 | + | 0.461415i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 50.6296 | + | 60.3380i | 0.0606342 | + | 0.0722610i | ||||
\(836\) | 214.757 | + | 36.5572i | 0.256887 | + | 0.0437288i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 39.9350 | − | 472.575i | 0.0476551 | − | 0.563932i | ||||
\(839\) | 787.091 | + | 938.019i | 0.938130 | + | 1.11802i | 0.992832 | + | 0.119517i | \(0.0381347\pi\) |
−0.0547020 | + | 0.998503i | \(0.517421\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −91.1935 | + | 517.184i | −0.108435 | + | 0.614963i | ||||
\(842\) | −1192.02 | + | 323.187i | −1.41570 | + | 0.383833i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 287.923 | − | 1.70548i | 0.341141 | − | 0.00202071i | ||||
\(845\) | −528.684 | − | 915.707i | −0.625661 | − | 1.08368i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1262.34 | + | 728.810i | 1.49036 | + | 0.860460i | ||||
\(848\) | 231.262 | + | 189.429i | 0.272715 | + | 0.223384i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 457.283 | + | 454.583i | 0.537980 | + | 0.534803i | ||||
\(851\) | 192.302 | − | 229.177i | 0.225972 | − | 0.269303i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 243.051 | + | 88.4635i | 0.284937 | + | 0.103709i | 0.480535 | − | 0.876976i | \(-0.340442\pi\) |
−0.195598 | + | 0.980684i | \(0.562665\pi\) | |||||||
\(854\) | −1492.35 | − | 1038.38i | −1.74748 | − | 1.21590i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 136.095 | − | 37.7658i | 0.158990 | − | 0.0441189i | ||||
\(857\) | −0.150722 | − | 0.854790i | −0.000175872 | − | 0.000997421i | 0.984720 | − | 0.174147i | \(-0.0557167\pi\) |
−0.984896 | + | 0.173149i | \(0.944606\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −550.181 | − | 1511.61i | −0.640490 | − | 1.75973i | −0.650182 | − | 0.759778i | \(-0.725307\pi\) |
0.00969236 | − | 0.999953i | \(-0.496915\pi\) | |||||||
\(860\) | 1595.87 | + | 570.167i | 1.85566 | + | 0.662985i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −422.569 | − | 599.703i | −0.490219 | − | 0.695711i | ||||
\(863\) | 847.738i | 0.982316i | 0.871071 | + | 0.491158i | \(0.163426\pi\) | ||||
−0.871071 | + | 0.491158i | \(0.836574\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −898.828 | −1.03911 | ||||||||
\(866\) | 793.979 | − | 559.462i | 0.916835 | − | 0.646030i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −359.519 | + | 1006.28i | −0.414192 | + | 1.15930i | ||||
\(869\) | 931.901 | − | 339.184i | 1.07238 | − | 0.390315i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 31.9158 | − | 5.62762i | 0.0366427 | − | 0.00646110i | ||||
\(872\) | −76.8021 | − | 276.769i | −0.0880758 | − | 0.317396i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −75.9908 | + | 109.213i | −0.0869461 | + | 0.124958i | ||||
\(875\) | −410.559 | + | 1128.00i | −0.469211 | + | 1.28915i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −242.653 | − | 203.610i | −0.276685 | − | 0.232167i | 0.493876 | − | 0.869532i | \(-0.335580\pi\) |
−0.770561 | + | 0.637366i | \(0.780024\pi\) | |||||||
\(878\) | 924.666 | − | 930.159i | 1.05315 | − | 1.05941i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1340.40 | + | 1636.41i | −1.52318 | + | 1.85956i | ||||
\(881\) | −383.212 | + | 663.743i | −0.434974 | + | 0.753397i | −0.997294 | − | 0.0735229i | \(-0.976576\pi\) |
0.562319 | + | 0.826920i | \(0.309909\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −233.975 | + | 135.085i | −0.264977 | + | 0.152985i | −0.626603 | − | 0.779339i | \(-0.715555\pi\) |
0.361626 | + | 0.932323i | \(0.382222\pi\) | |||||||
\(884\) | 1.17389 | + | 198.178i | 0.00132793 | + | 0.224184i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 137.049 | + | 505.480i | 0.154683 | + | 0.570520i | ||||
\(887\) | 172.336 | + | 30.3875i | 0.194291 | + | 0.0342588i | 0.269947 | − | 0.962875i | \(-0.412994\pi\) |
−0.0756557 | + | 0.997134i | \(0.524105\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1668.99 | − | 1400.45i | 1.87738 | − | 1.57531i | ||||
\(890\) | 2829.26 | + | 239.087i | 3.17894 | + | 0.268637i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 143.079 | − | 840.523i | 0.160402 | − | 0.942290i | ||||
\(893\) | −159.616 | + | 133.933i | −0.178741 | + | 0.149981i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1340.69 | − | 236.400i | −1.49798 | − | 0.264134i | ||||
\(896\) | 301.756 | − | 1227.40i | 0.336781 | − | 1.36987i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 108.852 | + | 1203.13i | 0.121216 | + | 1.33979i | ||||
\(899\) | −416.376 | + | 240.395i | −0.463154 | + | 0.267402i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 75.1630 | − | 130.186i | 0.0834218 | − | 0.144491i | ||||
\(902\) | −310.480 | + | 671.008i | −0.344213 | + | 0.743911i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −746.669 | − | 1046.44i | −0.825962 | − | 1.15757i | ||||
\(905\) | −1204.23 | − | 1010.47i | −1.33064 | − | 1.11654i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 67.1004 | − | 184.357i | 0.0739805 | − | 0.203260i | −0.897190 | − | 0.441644i | \(-0.854395\pi\) |
0.971171 | + | 0.238384i | \(0.0766177\pi\) | |||||||
\(908\) | 495.218 | + | 410.564i | 0.545395 | + | 0.452163i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −887.872 | + | 417.227i | −0.975684 | + | 0.458492i | ||||
\(911\) | −272.275 | + | 48.0095i | −0.298875 | + | 0.0526998i | −0.321075 | − | 0.947054i | \(-0.604044\pi\) |
0.0221996 | + | 0.999754i | \(0.492933\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1905.22 | − | 693.442i | 2.08677 | − | 0.759520i | ||||
\(914\) | 206.063 | − | 778.251i | 0.225452 | − | 0.851478i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 141.262 | − | 82.6769i | 0.154216 | − | 0.0902586i | ||||
\(917\) | 1909.08 | 2.08188 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1081.67i | 1.17701i | 0.808494 | + | 0.588504i | \(0.200283\pi\) | ||||
−0.808494 | + | 0.588504i | \(0.799717\pi\) | |||||||
\(920\) | −556.370 | − | 1165.98i | −0.604750 | − | 1.26737i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −109.162 | + | 412.277i | −0.118396 | + | 0.447155i | ||||
\(923\) | −116.102 | − | 318.987i | −0.125787 | − | 0.345598i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −103.980 | − | 589.702i | −0.112411 | − | 0.637515i | ||||
\(926\) | −223.075 | + | 104.827i | −0.240901 | + | 0.113204i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 460.969 | − | 333.054i | 0.496734 | − | 0.358895i | ||||
\(929\) | 664.820 | + | 241.975i | 0.715630 | + | 0.260468i | 0.674069 | − | 0.738668i | \(-0.264545\pi\) |
0.0415604 | + | 0.999136i | \(0.486767\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −103.612 | + | 123.481i | −0.111292 | + | 0.132632i | ||||
\(932\) | −668.117 | − | 786.720i | −0.716864 | − | 0.844120i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 157.007 | − | 339.322i | 0.168101 | − | 0.363300i | ||||
\(935\) | 921.198 | + | 531.854i | 0.985238 | + | 0.568828i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 426.668 | + | 739.011i | 0.455355 | + | 0.788699i | 0.998709 | − | 0.0508055i | \(-0.0161789\pi\) |
−0.543353 | + | 0.839504i | \(0.682846\pi\) | |||||||
\(938\) | 9.36531 | + | 103.514i | 0.00998434 | + | 0.110356i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −363.125 | − | 1990.37i | −0.386303 | − | 2.11742i | ||||
\(941\) | 122.045 | − | 692.150i | 0.129697 | − | 0.735548i | −0.848710 | − | 0.528859i | \(-0.822620\pi\) |
0.978407 | − | 0.206689i | \(-0.0662688\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −290.258 | − | 345.916i | −0.307802 | − | 0.366825i | ||||
\(944\) | −192.234 | + | 548.283i | −0.203638 | + | 0.580808i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1715.47 | + | 144.966i | 1.81339 | + | 0.153241i | ||||
\(947\) | 143.597 | + | 171.133i | 0.151634 | + | 0.180710i | 0.836514 | − | 0.547946i | \(-0.184590\pi\) |
−0.684880 | + | 0.728656i | \(0.740145\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −55.7231 | + | 316.021i | −0.0587177 | + | 0.333004i | ||||
\(950\) | 69.6860 | + | 257.024i | 0.0733536 | + | 0.270552i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −633.642 | − | 49.7678i | −0.665591 | − | 0.0522771i | ||||
\(953\) | −386.808 | − | 669.970i | −0.405884 | − | 0.703012i | 0.588540 | − | 0.808468i | \(-0.299703\pi\) |
−0.994424 | + | 0.105456i | \(0.966370\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −215.985 | − | 124.699i | −0.226163 | − | 0.130575i | ||||
\(956\) | 352.283 | − | 618.606i | 0.368497 | − | 0.647078i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −726.661 | + | 730.978i | −0.758519 | + | 0.763025i | ||||
\(959\) | 204.301 | − | 243.477i | 0.213036 | − | 0.253886i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −215.294 | − | 78.3605i | −0.224031 | − | 0.0815406i | ||||
\(962\) | 105.118 | − | 151.074i | 0.109270 | − | 0.157041i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −113.014 | − | 304.871i | −0.117234 | − | 0.316256i | ||||
\(965\) | 242.940 | + | 1377.78i | 0.251752 | + | 1.42775i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −401.660 | − | 1103.55i | −0.415367 | − | 1.14121i | −0.954297 | − | 0.298861i | \(-0.903393\pi\) |
0.538929 | − | 0.842351i | \(-0.318829\pi\) | |||||||
\(968\) | −489.541 | + | 1074.65i | −0.505724 | + | 1.11018i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −511.916 | + | 360.711i | −0.527748 | + | 0.371867i | ||||
\(971\) | − | 1571.76i | − | 1.61870i | −0.587324 | − | 0.809352i | \(-0.699819\pi\) | ||
0.587324 | − | 0.809352i | \(-0.300181\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −155.404 | −0.159716 | ||||||||
\(974\) | −366.910 | − | 520.712i | −0.376704 | − | 0.534612i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 721.294 | − | 1284.22i | 0.739031 | − | 1.31579i | ||||
\(977\) | 1382.71 | − | 503.263i | 1.41526 | − | 0.515111i | 0.482588 | − | 0.875847i | \(-0.339697\pi\) |
0.932668 | + | 0.360736i | \(0.117475\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2840.61 | − | 500.877i | 2.90154 | − | 0.511621i | ||||
\(980\) | −544.029 | − | 1467.60i | −0.555132 | − | 1.49755i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1386.75 | + | 964.904i | 1.41217 | + | 0.982591i | ||||
\(983\) | −1.95433 | + | 5.36948i | −0.00198813 | + | 0.00546233i | −0.940683 | − | 0.339288i | \(-0.889814\pi\) |
0.938695 | + | 0.344750i | \(0.112036\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1405.92 | − | 1179.71i | −1.42733 | − | 1.19768i | ||||
\(986\) | −202.814 | − | 201.616i | −0.205694 | − | 0.204479i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −40.5048 | + | 71.1261i | −0.0409968 | + | 0.0719900i | ||||
\(989\) | −525.725 | + | 910.583i | −0.531573 | + | 0.920711i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1320.59 | − | 762.444i | 1.33258 | − | 0.769368i | 0.346889 | − | 0.937906i | \(-0.387238\pi\) |
0.985695 | + | 0.168538i | \(0.0539047\pi\) | |||||||
\(992\) | −839.438 | − | 211.655i | −0.846208 | − | 0.213362i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1050.75 | − | 284.886i | 1.05709 | − | 0.286606i | ||||
\(995\) | −2673.46 | − | 471.404i | −2.68690 | − | 0.473773i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 629.178 | − | 527.943i | 0.631071 | − | 0.529532i | −0.270190 | − | 0.962807i | \(-0.587087\pi\) |
0.901262 | + | 0.433275i | \(0.142642\pi\) | |||||||
\(998\) | 41.7147 | − | 493.635i | 0.0417983 | − | 0.494624i | ||||
\(999\) | 0 | 0 |
(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 | 324.3.j.a.199.28 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.103.7 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.199.26 | 204 | ||
12.11 | even | 2 | 108.3.j.a.103.9 | yes | 204 | ||
27.11 | odd | 18 | 108.3.j.a.43.9 | yes | 204 | ||
27.16 | even | 9 | inner | 324.3.j.a.127.26 | 204 | ||
108.11 | even | 18 | 108.3.j.a.43.7 | ✓ | 204 | ||
108.43 | odd | 18 | inner | 324.3.j.a.127.28 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.43.7 | ✓ | 204 | 108.11 | even | 18 | ||
108.3.j.a.43.9 | yes | 204 | 27.11 | odd | 18 | ||
108.3.j.a.103.7 | yes | 204 | 3.2 | odd | 2 | ||
108.3.j.a.103.9 | yes | 204 | 12.11 | even | 2 | ||
324.3.j.a.127.26 | 204 | 27.16 | even | 9 | inner | ||
324.3.j.a.127.28 | 204 | 108.43 | odd | 18 | inner | ||
324.3.j.a.199.26 | 204 | 4.3 | odd | 2 | inner | ||
324.3.j.a.199.28 | 204 | 1.1 | even | 1 | trivial |