Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(49,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 12, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bq (of order \(30\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 69.1 | ||
Character | \(\chi\) | \(=\) | 572.69 |
Dual form | 572.2.bq.a.257.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −3.10684 | − | 0.660380i | −1.79374 | − | 0.381271i | −0.813890 | − | 0.581019i | \(-0.802654\pi\) |
−0.979847 | + | 0.199749i | \(0.935987\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.01179 | + | 2.76900i | −0.899702 | + | 1.23833i | 0.0708611 | + | 0.997486i | \(0.477425\pi\) |
−0.970563 | + | 0.240847i | \(0.922575\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.661166 | + | 3.11054i | 0.249897 | + | 1.17567i | 0.906754 | + | 0.421660i | \(0.138552\pi\) |
−0.656857 | + | 0.754015i | \(0.728114\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 6.47574 | + | 2.88318i | 2.15858 | + | 0.961062i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.30826 | + | 0.235419i | −0.997478 | + | 0.0709815i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.433383 | − | 3.57941i | 0.120199 | − | 0.992750i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 8.07892 | − | 7.27429i | 2.08597 | − | 1.87821i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.309162 | + | 2.94148i | −0.0749828 | + | 0.713413i | 0.890859 | + | 0.454280i | \(0.150104\pi\) |
−0.965842 | + | 0.259133i | \(0.916563\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.741453 | − | 0.667607i | −0.170101 | − | 0.153160i | 0.579684 | − | 0.814842i | \(-0.303176\pi\) |
−0.749785 | + | 0.661682i | \(0.769843\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 10.1006i | − | 2.20413i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.96787 | + | 3.40845i | −0.410329 | + | 0.710711i | −0.994926 | − | 0.100613i | \(-0.967920\pi\) |
0.584596 | + | 0.811324i | \(0.301253\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.07495 | − | 6.38603i | −0.414989 | − | 1.27721i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −10.5062 | − | 7.63319i | −2.02192 | − | 1.46901i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.46531 | + | 3.84862i | 0.643492 | + | 0.714671i | 0.973341 | − | 0.229363i | \(-0.0736643\pi\) |
−0.329849 | + | 0.944034i | \(0.606998\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.17751 | − | 8.50261i | −1.10951 | − | 1.52711i | −0.822131 | − | 0.569299i | \(-0.807215\pi\) |
−0.287383 | − | 0.957816i | \(-0.592785\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 10.4337 | + | 1.45330i | 1.81628 | + | 0.252987i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −9.94322 | − | 4.42701i | −1.68071 | − | 0.748301i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.63815 | + | 3.27581i | −0.598109 | + | 0.538540i | −0.911614 | − | 0.411047i | \(-0.865163\pi\) |
0.313505 | + | 0.949586i | \(0.398497\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.71022 | + | 10.8345i | −0.594111 | + | 1.73490i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.61184 | − | 7.58310i | 0.251727 | − | 1.18428i | −0.652688 | − | 0.757627i | \(-0.726359\pi\) |
0.904415 | − | 0.426655i | \(-0.140308\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.09933 | − | 10.5643i | −0.930139 | − | 1.61105i | −0.783081 | − | 0.621920i | \(-0.786353\pi\) |
−0.147058 | − | 0.989128i | \(-0.546980\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −21.0114 | + | 12.1309i | −3.13219 | + | 1.80837i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.71766 | − | 0.558101i | 0.250546 | − | 0.0814074i | −0.181051 | − | 0.983474i | \(-0.557950\pi\) |
0.431598 | + | 0.902066i | \(0.357950\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.84352 | + | 1.26602i | −0.406217 | + | 0.180860i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.90301 | − | 8.93455i | 0.406503 | − | 1.25109i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.20338 | − | 3.05394i | 0.577379 | − | 0.419490i | −0.260399 | − | 0.965501i | \(-0.583854\pi\) |
0.837778 | + | 0.546011i | \(0.183854\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.00366 | − | 9.63418i | 0.809534 | − | 1.29907i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.86270 | + | 2.56379i | 0.246721 | + | 0.339583i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.00952379 | + | 0.0448059i | 0.00123989 | + | 0.00583323i | 0.978763 | − | 0.204994i | \(-0.0657175\pi\) |
−0.977523 | + | 0.210827i | \(0.932384\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.0329676 | − | 0.313666i | 0.00422107 | − | 0.0401608i | −0.992209 | − | 0.124588i | \(-0.960239\pi\) |
0.996430 | + | 0.0844267i | \(0.0269059\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.68673 | + | 22.0493i | −0.590473 | + | 2.77795i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 9.03950 | + | 8.40108i | 1.12121 | + | 1.04203i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.11480 | + | 5.26243i | 1.11355 | + | 0.642909i | 0.939747 | − | 0.341872i | \(-0.111061\pi\) |
0.173804 | + | 0.984780i | \(0.444394\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 8.36474 | − | 9.28998i | 1.00700 | − | 1.11838i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.47438 | + | 0.995797i | 1.12440 | + | 0.118179i | 0.648425 | − | 0.761279i | \(-0.275428\pi\) |
0.475977 | + | 0.879458i | \(0.342095\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.16414 | − | 1.67793i | −0.604417 | − | 0.196387i | −0.00920753 | − | 0.999958i | \(-0.502931\pi\) |
−0.595209 | + | 0.803571i | \(0.702931\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.22933 | + | 21.2106i | 0.257421 | + | 2.44919i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.91959 | − | 10.1348i | −0.332718 | − | 1.15497i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.87387 | − | 4.99416i | 0.773370 | − | 0.561887i | −0.129612 | − | 0.991565i | \(-0.541373\pi\) |
0.902982 | + | 0.429678i | \(0.141373\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 13.3707 | + | 14.8497i | 1.48563 | + | 1.64996i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.56693 | + | 7.66223i | −0.611050 | + | 0.841039i | −0.996663 | − | 0.0816219i | \(-0.973990\pi\) |
0.385613 | + | 0.922661i | \(0.373990\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.52298 | − | 6.77372i | −0.815981 | − | 0.734713i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −8.22463 | − | 14.2455i | −0.881773 | − | 1.52728i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.00972 | − | 1.16031i | −0.213030 | − | 0.122993i | 0.389689 | − | 0.920947i | \(-0.372583\pi\) |
−0.602719 | + | 0.797954i | \(0.705916\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.4204 | − | 1.01853i | 1.19719 | − | 0.106771i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 13.5776 | + | 30.4958i | 1.40793 | + | 3.16227i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.34025 | − | 0.709993i | 0.342703 | − | 0.0728437i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.07024 | + | 13.6340i | −0.616340 | + | 1.38432i | 0.288050 | + | 0.957615i | \(0.406993\pi\) |
−0.904390 | + | 0.426707i | \(0.859674\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −22.1022 | − | 8.01381i | −2.22135 | − | 0.805418i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.40878 | − | 13.4036i | −0.140179 | − | 1.33371i | −0.807908 | − | 0.589308i | \(-0.799400\pi\) |
0.667730 | − | 0.744404i | \(-0.267266\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.05022 | − | 6.30993i | 0.202014 | − | 0.621736i | −0.797808 | − | 0.602911i | \(-0.794007\pi\) |
0.999823 | − | 0.0188252i | \(-0.00599260\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 27.9685 | + | 20.3203i | 2.72945 | + | 1.98306i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.92647 | − | 1.89738i | −0.862954 | − | 0.183427i | −0.244887 | − | 0.969552i | \(-0.578751\pi\) |
−0.618067 | + | 0.786125i | \(0.712084\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 5.65846i | − | 0.541982i | −0.962582 | − | 0.270991i | \(-0.912649\pi\) | ||
0.962582 | − | 0.270991i | \(-0.0873514\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 13.4665 | − | 7.77486i | 1.27818 | − | 0.737957i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.49755 | + | 7.21626i | −0.611238 | + | 0.678849i | −0.966721 | − | 0.255834i | \(-0.917650\pi\) |
0.355482 | + | 0.934683i | \(0.384317\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.47904 | − | 12.3061i | −0.510923 | − | 1.14755i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 13.1266 | − | 21.9298i | 1.21355 | − | 2.02741i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −9.35400 | + | 0.983145i | −0.857480 | + | 0.0901248i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.8892 | − | 1.55765i | 0.989923 | − | 0.141605i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −10.0155 | + | 22.4951i | −0.903064 | + | 2.02831i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.58150 | + | 1.81354i | 0.499225 | + | 0.162208i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.319970 | + | 0.142460i | −0.0283927 | + | 0.0126413i | −0.420884 | − | 0.907115i | \(-0.638280\pi\) |
0.392491 | + | 0.919756i | \(0.371613\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 11.9732 | + | 36.8496i | 1.05418 | + | 3.24443i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −18.1415 | −1.58503 | −0.792517 | − | 0.609850i | \(-0.791230\pi\) | ||||
−0.792517 | + | 0.609850i | \(0.791230\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.58640 | − | 2.74772i | 0.137558 | − | 0.238258i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 42.2726 | − | 13.7352i | 3.63824 | − | 1.18214i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.71920 | − | 0.496008i | −0.403189 | − | 0.0423768i | −0.0992358 | − | 0.995064i | \(-0.531640\pi\) |
−0.303953 | + | 0.952687i | \(0.598306\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.0462 | − | 2.56050i | 1.02174 | − | 0.217178i | 0.333571 | − | 0.942725i | \(-0.391746\pi\) |
0.688173 | + | 0.725546i | \(0.258413\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.70506 | + | 0.599626i | −0.480452 | + | 0.0504976i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.591082 | + | 11.9436i | −0.0494288 | + | 0.998778i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −17.6283 | + | 1.85281i | −1.46395 | + | 0.153868i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 9.67043 | − | 2.05551i | 0.797603 | − | 0.169536i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.516540 | + | 0.0542906i | 0.0423166 | + | 0.00444766i | 0.125663 | − | 0.992073i | \(-0.459894\pi\) |
−0.0833465 | + | 0.996521i | \(0.526561\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.68099 | + | 1.52095i | −0.380934 | + | 0.123773i | −0.493223 | − | 0.869903i | \(-0.664181\pi\) |
0.112290 | + | 0.993675i | \(0.464181\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −10.4829 | + | 18.1569i | −0.847490 | + | 1.46790i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 35.9716 | 2.88931 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.37306 | + | 7.30353i | 0.189391 | + | 0.582885i | 0.999996 | − | 0.00270769i | \(-0.000861887\pi\) |
−0.810606 | + | 0.585593i | \(0.800862\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −15.0760 | + | 6.71227i | −1.19561 | + | 0.532318i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −11.9032 | − | 3.86759i | −0.938106 | − | 0.304809i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.63123 | + | 12.6480i | −0.441072 | + | 0.990664i | 0.547065 | + | 0.837090i | \(0.315745\pi\) |
−0.988137 | + | 0.153574i | \(0.950922\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −25.0147 | + | 25.9672i | −1.94739 | + | 2.02154i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −13.3617 | + | 1.40437i | −1.03396 | + | 0.108673i | −0.606275 | − | 0.795255i | \(-0.707337\pi\) |
−0.427683 | + | 0.903929i | \(0.640670\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.6244 | − | 3.10251i | −0.971104 | − | 0.238655i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.87662 | − | 6.46100i | −0.219981 | − | 0.494085i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.47536 | − | 4.97039i | 0.340255 | − | 0.377892i | −0.548596 | − | 0.836088i | \(-0.684837\pi\) |
0.888851 | + | 0.458196i | \(0.151504\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 18.4921 | − | 10.6764i | 1.39787 | − | 0.807063i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 0.145494i | − | 0.0109360i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.14507 | + | 1.51873i | 0.534047 | + | 0.113515i | 0.467038 | − | 0.884237i | \(-0.345321\pi\) |
0.0670091 | + | 0.997752i | \(0.478654\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −20.4451 | − | 14.8543i | −1.51967 | − | 1.10411i | −0.961649 | − | 0.274284i | \(-0.911559\pi\) |
−0.558025 | − | 0.829824i | \(-0.688441\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.309564 | + | 0.952740i | −0.0228836 | + | 0.0704286i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.75149 | − | 16.6643i | −0.128772 | − | 1.22518i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.330307 | − | 9.80396i | 0.0241545 | − | 0.716936i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 16.7970 | − | 37.7268i | 1.22180 | − | 2.74422i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −9.45899 | + | 2.01057i | −0.684428 | + | 0.145480i | −0.536986 | − | 0.843591i | \(-0.680437\pi\) |
−0.147442 | + | 0.989071i | \(0.547104\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.22572 | − | 11.7372i | −0.376156 | − | 0.844860i | −0.998089 | − | 0.0617897i | \(-0.980319\pi\) |
0.621933 | − | 0.783070i | \(-0.286347\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −22.5364 | − | 32.0703i | −1.61387 | − | 2.29660i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 7.29189 | + | 4.20998i | 0.519526 | + | 0.299948i | 0.736741 | − | 0.676175i | \(-0.236364\pi\) |
−0.217215 | + | 0.976124i | \(0.569697\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.58861 | − | 14.8759i | −0.608830 | − | 1.05452i | −0.991434 | − | 0.130612i | \(-0.958306\pi\) |
0.382603 | − | 0.923913i | \(-0.375028\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −24.8431 | − | 22.3688i | −1.75229 | − | 1.57777i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −9.68015 | + | 13.3236i | −0.679413 | + | 0.935132i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 17.7549 | + | 19.7188i | 1.24006 | + | 1.37722i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −22.5706 | + | 16.3985i | −1.56877 | + | 1.13978i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 2.61009 | + | 2.03407i | 0.180543 | + | 0.140699i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.59641 | + | 15.1889i | 0.109902 | + | 1.04564i | 0.900960 | + | 0.433903i | \(0.142864\pi\) |
−0.791058 | + | 0.611741i | \(0.790469\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −28.7778 | − | 9.35048i | −1.97182 | − | 0.640684i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 41.5233 | + | 4.36427i | 2.83186 | + | 0.297641i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 22.3634 | − | 24.8371i | 1.51813 | − | 1.68605i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 14.9361 | + | 8.62336i | 1.00929 | + | 0.582713i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 10.3948 | + | 2.38140i | 0.699228 | + | 0.160191i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.20344 | + | 15.0710i | −0.214518 | + | 1.00923i | 0.730677 | + | 0.682724i | \(0.239205\pi\) |
−0.945195 | + | 0.326506i | \(0.894129\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.97529 | − | 47.3367i | 0.331686 | − | 3.15578i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.32595 | + | 20.3520i | 0.287124 | + | 1.35081i | 0.851093 | + | 0.525015i | \(0.175940\pi\) |
−0.563969 | + | 0.825796i | \(0.690726\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.44106 | + | 6.11260i | 0.293474 | + | 0.403932i | 0.930139 | − | 0.367209i | \(-0.119687\pi\) |
−0.636665 | + | 0.771141i | \(0.719687\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.37787 | + | 33.4154i | 0.156452 | + | 2.19857i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.735142 | − | 0.534112i | 0.0481608 | − | 0.0349909i | −0.563444 | − | 0.826154i | \(-0.690524\pi\) |
0.611605 | + | 0.791163i | \(0.290524\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.91020 | + | 5.87898i | −0.124607 | + | 0.383502i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −24.6541 | + | 10.9767i | −1.60145 | + | 0.713013i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.63807 | + | 0.532240i | −0.105958 | + | 0.0344277i | −0.361516 | − | 0.932366i | \(-0.617741\pi\) |
0.255558 | + | 0.966794i | \(0.417741\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.01202 | + | 4.62574i | −0.516100 | + | 0.297970i | −0.735337 | − | 0.677701i | \(-0.762976\pi\) |
0.219238 | + | 0.975671i | \(0.429643\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −12.2547 | − | 21.2258i | −0.786142 | − | 1.36164i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2.21498 | − | 10.4207i | 0.141510 | − | 0.665752i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.71097 | + | 2.36464i | −0.172495 | + | 0.150458i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 22.3556 | − | 20.1291i | 1.41673 | − | 1.27563i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.29219 | + | 1.46578i | 0.207801 | + | 0.0925189i | 0.507998 | − | 0.861358i | \(-0.330386\pi\) |
−0.300197 | + | 0.953877i | \(0.597052\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.70781 | − | 11.7393i | 0.358847 | − | 0.738044i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 18.8995 | + | 26.0129i | 1.18353 | + | 1.62899i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −6.35242 | − | 7.05508i | −0.396253 | − | 0.440084i | 0.511694 | − | 0.859167i | \(-0.329018\pi\) |
−0.907948 | + | 0.419084i | \(0.862351\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −12.5950 | − | 9.15078i | −0.782613 | − | 0.568602i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 11.3442 | + | 34.9138i | 0.702187 | + | 2.16111i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −6.06920 | + | 10.5122i | −0.374243 | + | 0.648208i | −0.990213 | − | 0.139561i | \(-0.955431\pi\) |
0.615970 | + | 0.787769i | \(0.288764\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 17.7830i | 1.09240i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 5.47765 | + | 4.93209i | 0.335227 | + | 0.301839i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.20455 | − | 11.4606i | 0.0734429 | − | 0.698763i | −0.894410 | − | 0.447247i | \(-0.852404\pi\) |
0.967853 | − | 0.251515i | \(-0.0809289\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.0706 | − | 9.06764i | 0.611747 | − | 0.550820i | −0.303950 | − | 0.952688i | \(-0.598306\pi\) |
0.915698 | + | 0.401868i | \(0.131639\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −36.1542 | − | 4.37743i | −2.18815 | − | 0.264934i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 8.36785 | + | 20.6382i | 0.504600 | + | 1.24453i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.25556 | − | 3.67561i | −0.496029 | − | 0.220846i | 0.143446 | − | 0.989658i | \(-0.454182\pi\) |
−0.639475 | + | 0.768812i | \(0.720848\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −15.4893 | − | 72.8716i | −0.927323 | − | 4.36271i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.2849 | + | 15.5324i | −0.673203 | + | 0.926585i | −0.999828 | − | 0.0185693i | \(-0.994089\pi\) |
0.326624 | + | 0.945154i | \(0.394089\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.5445 | + | 2.45385i | 0.686247 | + | 0.145866i | 0.537824 | − | 0.843057i | \(-0.319247\pi\) |
0.148424 | + | 0.988924i | \(0.452580\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −10.8465 | −0.642492 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 24.6533 | 1.45524 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.07179 | + | 1.71571i | 0.474811 | + | 0.100924i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 27.8629 | − | 38.3500i | 1.63335 | − | 2.24812i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.42719 | − | 6.71438i | −0.0833771 | − | 0.392258i | 0.916594 | − | 0.399818i | \(-0.130927\pi\) |
−0.999971 | + | 0.00756016i | \(0.997594\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.143227 | − | 0.0637689i | −0.00833902 | − | 0.00371277i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 36.5542 | + | 22.7792i | 2.12109 | + | 1.32178i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 11.3474 | + | 8.52098i | 0.656237 | + | 0.492781i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 28.8282 | − | 25.9570i | 1.66163 | − | 1.49614i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.47464 | + | 42.5733i | −0.257061 | + | 2.44577i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.802217 | + | 0.722319i | 0.0459348 | + | 0.0413599i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 15.4574i | − | 0.882201i | −0.897458 | − | 0.441101i | \(-0.854588\pi\) | ||
0.897458 | − | 0.441101i | \(-0.145412\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −10.5367 | + | 18.2501i | −0.599410 | + | 1.03821i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.69076 | − | 29.8251i | −0.549513 | − | 1.69123i | −0.710011 | − | 0.704190i | \(-0.751310\pi\) |
0.160498 | − | 0.987036i | \(-0.448690\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.16610 | − | 3.75339i | −0.292005 | − | 0.212154i | 0.432132 | − | 0.901811i | \(-0.357762\pi\) |
−0.724137 | + | 0.689656i | \(0.757762\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −51.6258 | − | 57.3363i | −2.90879 | − | 3.23053i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −9.39386 | − | 12.9295i | −0.527612 | − | 0.726196i | 0.459152 | − | 0.888358i | \(-0.348153\pi\) |
−0.986764 | + | 0.162162i | \(0.948153\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −12.3702 | − | 11.9164i | −0.692598 | − | 0.667192i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 26.4801 | + | 11.7897i | 1.47798 | + | 0.658038i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.19298 | − | 1.97457i | 0.122021 | − | 0.109868i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −23.7575 | + | 4.65949i | −1.31783 | + | 0.258462i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −3.73673 | + | 17.5799i | −0.206642 | + | 0.972173i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 2.87166 | + | 4.97385i | 0.158320 | + | 0.274217i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.3314 | + | 8.85157i | −0.842688 | + | 0.486526i | −0.858177 | − | 0.513354i | \(-0.828403\pi\) |
0.0154887 | + | 0.999880i | \(0.495070\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −33.0045 | + | 10.7238i | −1.80864 | + | 0.587661i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −32.9088 | + | 14.6519i | −1.79800 | + | 0.800521i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.00551 | − | 3.09464i | 0.0547735 | − | 0.168576i | −0.919927 | − | 0.392089i | \(-0.871753\pi\) |
0.974701 | + | 0.223513i | \(0.0717526\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 24.9524 | − | 18.1289i | 1.35523 | − | 0.984629i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 22.4385 | + | 26.6745i | 1.21511 | + | 1.44451i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.26620 | + | 10.0011i | 0.392338 | + | 0.540007i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 8.89581 | + | 41.8515i | 0.478934 | + | 2.25321i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.33528 | − | 12.7043i | 0.0716816 | − | 0.682005i | −0.898392 | − | 0.439194i | \(-0.855264\pi\) |
0.970074 | − | 0.242811i | \(-0.0780694\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.38264 | + | 30.0279i | −0.341655 | + | 1.60736i | 0.386732 | + | 0.922192i | \(0.373604\pi\) |
−0.728386 | + | 0.685167i | \(0.759729\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −31.8755 | + | 34.2979i | −1.70139 | + | 1.83068i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −28.1740 | − | 16.2662i | −1.49955 | − | 0.865765i | −0.499549 | − | 0.866286i | \(-0.666501\pi\) |
−1.00000 | 0.000520868i | \(0.999834\pi\) | ||||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −21.8179 | + | 24.2312i | −1.15797 | + | 1.28606i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 29.7107 | + | 3.12272i | 1.57246 | + | 0.165272i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 25.9657 | + | 8.43677i | 1.37042 | + | 0.445276i | 0.899508 | − | 0.436905i | \(-0.143925\pi\) |
0.470911 | + | 0.882181i | \(0.343925\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.88199 | − | 17.9059i | −0.0990520 | − | 0.942417i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −34.8595 | − | 2.35159i | −1.82965 | − | 0.123427i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 15.0354 | − | 10.9238i | 0.786988 | − | 0.571780i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.18688 | − | 3.53939i | −0.166354 | − | 0.184755i | 0.654204 | − | 0.756318i | \(-0.273004\pi\) |
−0.820558 | + | 0.571563i | \(0.806337\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 32.3013 | − | 44.4590i | 1.68154 | − | 2.31444i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 12.2785 | + | 11.0556i | 0.637470 | + | 0.573980i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.9515 | − | 20.7007i | −0.618827 | − | 1.07184i | −0.989700 | − | 0.143156i | \(-0.954275\pi\) |
0.370874 | − | 0.928683i | \(-0.379058\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −16.1432 | − | 9.32030i | −0.833633 | − | 0.481298i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 15.2776 | − | 10.7358i | 0.786836 | − | 0.552924i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.692054 | − | 1.55438i | −0.0355484 | − | 0.0798431i | 0.894899 | − | 0.446270i | \(-0.147248\pi\) |
−0.930447 | + | 0.366427i | \(0.880581\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.08817 | − | 0.231299i | 0.0557489 | − | 0.0118498i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.74506 | + | 6.16551i | −0.140266 | + | 0.315043i | −0.969995 | − | 0.243123i | \(-0.921828\pi\) |
0.829729 | + | 0.558166i | \(0.188495\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 33.9369 | + | 12.3049i | 1.72959 | + | 0.627114i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −9.03870 | − | 85.9975i | −0.459463 | − | 4.37150i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.12434 | − | 12.6934i | 0.209112 | − | 0.643582i | −0.790407 | − | 0.612582i | \(-0.790131\pi\) |
0.999519 | − | 0.0309999i | \(-0.00986914\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.41750 | − | 6.84221i | −0.476263 | − | 0.346026i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 56.3629 | + | 11.9803i | 2.84313 | + | 0.604327i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 29.0809i | 1.46322i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.06854 | + | 2.92632i | −0.254383 | + | 0.146868i | −0.621769 | − | 0.783200i | \(-0.713586\pi\) |
0.367387 | + | 0.930068i | \(0.380253\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −6.74323 | + | 7.48912i | −0.337584 | + | 0.374925i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.39645 | + | 14.3667i | 0.319424 | + | 0.717437i | 0.999882 | − | 0.0153495i | \(-0.00488608\pi\) |
−0.680459 | + | 0.732786i | \(0.738219\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −33.1116 | + | 18.4270i | −1.64941 | + | 0.917912i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −68.0179 | + | 7.14897i | −3.37983 | + | 0.355235i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 11.2648 | − | 11.6937i | 0.558374 | − | 0.579636i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.35322 | − | 9.77748i | 0.215253 | − | 0.483465i | −0.773356 | − | 0.633971i | \(-0.781424\pi\) |
0.988609 | + | 0.150506i | \(0.0480903\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 14.3343 | + | 4.65749i | 0.707057 | + | 0.229737i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.133074 | + | 0.0592483i | −0.00654814 | + | 0.00291542i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.0172 | − | 30.8297i | −0.491723 | − | 1.51337i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −39.1165 | −1.91554 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −9.77579 | + | 16.9322i | −0.477579 | + | 0.827191i | −0.999670 | − | 0.0256991i | \(-0.991819\pi\) |
0.522091 | + | 0.852890i | \(0.325152\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.2412 | + | 4.62726i | −0.694076 | + | 0.225519i | −0.634747 | − | 0.772720i | \(-0.718896\pi\) |
−0.0593282 | + | 0.998239i | \(0.518896\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 12.7322 | + | 1.33821i | 0.619062 | + | 0.0650660i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 19.4259 | − | 4.12909i | 0.942292 | − | 0.200290i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.997469 | − | 0.104838i | 0.0482709 | − | 0.00507348i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 9.72374 | − | 36.7167i | 0.469467 | − | 1.77270i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −32.6359 | + | 3.43017i | −1.57202 | + | 0.165226i | −0.850050 | − | 0.526702i | \(-0.823429\pi\) |
−0.721967 | + | 0.691927i | \(0.756762\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.60293 | + | 1.40350i | −0.317317 | + | 0.0674477i | −0.363817 | − | 0.931471i | \(-0.618527\pi\) |
0.0465001 | + | 0.998918i | \(0.485193\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 55.9920 | + | 5.88499i | 2.68461 | + | 0.282164i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.73459 | − | 1.21344i | 0.178650 | − | 0.0580468i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.2267 | − | 24.6413i | 0.679002 | − | 1.17607i | −0.296280 | − | 0.955101i | \(-0.595746\pi\) |
0.975282 | − | 0.220965i | \(-0.0709206\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −22.0641 | −1.05067 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.0925713 | − | 0.284905i | −0.00439820 | − | 0.0135363i | 0.948833 | − | 0.315777i | \(-0.102265\pi\) |
−0.953232 | + | 0.302241i | \(0.902265\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.25606 | − | 3.23060i | 0.343970 | − | 0.153145i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.56896 | − | 0.509785i | −0.0742091 | − | 0.0241120i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.54292 | − | 12.4496i | 0.261587 | − | 0.587533i | −0.734231 | − | 0.678900i | \(-0.762457\pi\) |
0.995817 | + | 0.0913668i | \(0.0291236\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.54717 | + | 25.4663i | −0.167030 | + | 1.19916i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 15.5475 | − | 1.63411i | 0.730486 | − | 0.0767771i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −20.1553 | + | 33.6723i | −0.944895 | + | 1.57858i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.54490 | − | 19.1922i | −0.399714 | − | 0.897771i | −0.995512 | − | 0.0946372i | \(-0.969831\pi\) |
0.595798 | − | 0.803134i | \(-0.296836\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 25.7010 | − | 28.5438i | 1.19962 | − | 1.33231i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −30.4824 | + | 17.5990i | −1.41971 | + | 0.819669i | −0.996273 | − | 0.0862581i | \(-0.972509\pi\) |
−0.423435 | + | 0.905927i | \(0.639176\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 20.5976i | − | 0.957253i | −0.878018 | − | 0.478627i | \(-0.841135\pi\) | ||
0.878018 | − | 0.478627i | \(-0.158865\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −111.758 | − | 23.7549i | −5.18266 | − | 1.10161i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −10.9634 | − | 7.96537i | −0.507325 | − | 0.368593i | 0.304483 | − | 0.952518i | \(-0.401516\pi\) |
−0.811808 | + | 0.583925i | \(0.801516\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.3426 | + | 31.8313i | −0.477578 | + | 1.46983i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.54962 | − | 24.2580i | −0.117480 | − | 1.11775i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 22.6652 | + | 33.5137i | 1.04215 | + | 1.54096i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.72488 | + | 6.12019i | −0.125026 | + | 0.280814i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 36.0251 | − | 7.65737i | 1.64947 | − | 0.350607i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 6.95351 | + | 15.6179i | 0.317714 | + | 0.713598i | 0.999845 | − | 0.0176328i | \(-0.00561300\pi\) |
−0.682130 | + | 0.731231i | \(0.738946\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.1487 | + | 14.4421i | 0.462743 | + | 0.658504i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 34.4274 | + | 19.8767i | 1.56650 | + | 0.904419i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −25.5404 | − | 44.2373i | −1.15973 | − | 2.00871i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 22.0544 | + | 19.8579i | 0.999380 | + | 0.899846i | 0.994973 | − | 0.100144i | \(-0.0319305\pi\) |
0.00440721 | + | 0.999990i | \(0.498597\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 25.8478 | − | 35.5765i | 1.16888 | − | 1.60882i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.9463 | − | 19.9314i | −0.809905 | − | 0.899491i | 0.186650 | − | 0.982427i | \(-0.440237\pi\) |
−0.996555 | + | 0.0829355i | \(0.973570\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −12.3920 | + | 9.00330i | −0.558106 | + | 0.405488i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 66.6553 | − | 45.0787i | 2.99593 | − | 2.02614i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.16667 | + | 30.1288i | 0.142045 | + | 1.35146i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.1355 | + | 3.94308i | 0.543262 | + | 0.176516i | 0.567776 | − | 0.823183i | \(-0.307804\pi\) |
−0.0245143 | + | 0.999699i | \(0.507804\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 42.4401 | + | 4.46063i | 1.89608 | + | 0.199286i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −18.3027 | + | 20.3273i | −0.816079 | + | 0.906348i | −0.997020 | − | 0.0771464i | \(-0.975419\pi\) |
0.180941 | + | 0.983494i | \(0.442086\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 39.9488 | + | 23.0645i | 1.77770 | + | 1.02636i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 37.1731 | + | 17.9759i | 1.65091 | + | 0.798338i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.56415 | + | 16.7680i | −0.157978 | + | 0.743229i | 0.825818 | + | 0.563937i | \(0.190714\pi\) |
−0.983796 | + | 0.179292i | \(0.942619\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.80492 | − | 17.1727i | 0.0798450 | − | 0.759674i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.69387 | + | 12.6737i | 0.118937 | + | 0.559556i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 13.3476 | + | 18.3713i | 0.588164 | + | 0.809538i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.55107 | + | 2.25071i | −0.244136 | + | 0.0989862i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −17.1866 | + | 12.4868i | −0.754408 | + | 0.548109i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.741495 | − | 2.28209i | 0.0324855 | − | 0.0999801i | −0.933499 | − | 0.358580i | \(-0.883261\pi\) |
0.965985 | + | 0.258600i | \(0.0832611\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.51711 | − | 2.45638i | 0.241246 | − | 0.107410i | −0.282552 | − | 0.959252i | \(-0.591181\pi\) |
0.523799 | + | 0.851842i | \(0.324514\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −64.5027 | + | 20.9582i | −2.81513 | + | 0.914690i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 26.9201 | − | 15.5423i | 1.17266 | − | 0.677035i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.75497 | + | 6.50380i | 0.163260 | + | 0.282774i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.0675102 | + | 0.317610i | −0.00292969 | + | 0.0137831i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −26.4445 | − | 9.05582i | −1.14544 | − | 0.392251i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 23.2121 | − | 20.9002i | 1.00354 | − | 0.903596i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −21.1957 | − | 9.43692i | −0.914661 | − | 0.407233i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 9.10906 | − | 4.85773i | 0.392355 | − | 0.209237i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.8889 | + | 20.4928i | 0.640124 | + | 0.881055i | 0.998622 | − | 0.0524754i | \(-0.0167111\pi\) |
−0.358498 | + | 0.933530i | \(0.616711\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 53.7104 | + | 59.6514i | 2.30493 | + | 2.55989i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 15.6683 | + | 11.3837i | 0.671155 | + | 0.487622i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.80255 | + | 20.9361i | 0.290856 | + | 0.895162i | 0.984582 | + | 0.174923i | \(0.0559678\pi\) |
−0.693726 | + | 0.720239i | \(0.744032\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.11785 | − | 1.93617i | 0.0477086 | − | 0.0826336i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 5.16704i | − | 0.220123i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 20.0793 | + | 18.0795i | 0.853859 | + | 0.768818i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.56317 | + | 52.9300i | −0.236143 | + | 2.24675i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −6.24470 | + | 5.62275i | −0.264596 | + | 0.238244i | −0.790740 | − | 0.612152i | \(-0.790304\pi\) |
0.526144 | + | 0.850396i | \(0.323637\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −40.4575 | + | 17.2536i | −1.71117 | + | 0.729749i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.50055 | + | 30.2412i | −0.316673 | + | 1.27679i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 30.7267 | + | 13.6804i | 1.29498 | + | 0.576560i | 0.934419 | − | 0.356177i | \(-0.115920\pi\) |
0.360557 | + | 0.932737i | \(0.382587\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.91008 | − | 32.5093i | −0.290709 | − | 1.36768i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −37.3503 | + | 51.4083i | −1.56857 | + | 2.15895i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −34.0409 | − | 7.23561i | −1.42707 | − | 0.303332i | −0.571320 | − | 0.820727i | \(-0.693569\pi\) |
−0.855747 | + | 0.517395i | \(0.826902\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 39.1759 | 1.63946 | 0.819731 | − | 0.572748i | \(-0.194123\pi\) | ||||
0.819731 | + | 0.572748i | \(0.194123\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 30.7153 | 1.28315 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 25.8497 | + | 5.49452i | 1.07801 | + | 0.229137i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.64454 | − | 2.26351i | 0.0684630 | − | 0.0942313i | −0.773412 | − | 0.633903i | \(-0.781452\pi\) |
0.841875 | + | 0.539672i | \(0.181452\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 8.48452 | + | 39.9165i | 0.352605 | + | 1.65887i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −27.5144 | − | 12.2502i | −1.14149 | − | 0.508223i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −13.1869 | + | 11.0928i | −0.546147 | + | 0.459415i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 34.3156 | + | 80.4657i | 1.41878 | + | 3.32685i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.85272 | + | 4.36940i | −0.200293 | + | 0.180345i | −0.763173 | − | 0.646194i | \(-0.776360\pi\) |
0.562880 | + | 0.826538i | \(0.309693\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.09607 | + | 10.4284i | −0.0451629 | + | 0.429696i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −19.8746 | − | 17.8952i | −0.817531 | − | 0.736109i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 3.61782i | − | 0.148566i | −0.997237 | − | 0.0742831i | \(-0.976333\pi\) | ||
0.997237 | − | 0.0742831i | \(-0.0236669\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 16.0960 | − | 27.8791i | 0.659872 | − | 1.14293i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 16.8597 | + | 51.8889i | 0.690022 | + | 2.12367i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −34.4119 | − | 25.0017i | −1.40603 | − | 1.02154i | −0.993884 | − | 0.110425i | \(-0.964779\pi\) |
−0.412148 | − | 0.911117i | \(-0.635221\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.7791 | + | 16.4138i | 0.602852 | + | 0.669535i | 0.964898 | − | 0.262625i | \(-0.0845884\pi\) |
−0.362046 | + | 0.932160i | \(0.617922\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 43.8525 | + | 60.3578i | 1.78581 | + | 2.45796i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −17.5936 | + | 33.2857i | −0.715282 | + | 1.35326i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 42.1458 | + | 18.7645i | 1.71064 | + | 0.761628i | 0.998205 | + | 0.0598949i | \(0.0190766\pi\) |
0.712440 | + | 0.701733i | \(0.247590\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 38.8733 | − | 35.0017i | 1.57523 | − | 1.41834i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.25327 | − | 6.39008i | −0.0507018 | − | 0.258515i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.44060 | − | 20.8914i | 0.179354 | − | 0.843795i | −0.792805 | − | 0.609475i | \(-0.791380\pi\) |
0.972160 | − | 0.234320i | \(-0.0752863\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −42.1398 | − | 72.9883i | −1.69924 | − | 2.94317i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −5.99996 | + | 3.46408i | −0.241549 | + | 0.139458i | −0.615889 | − | 0.787833i | \(-0.711203\pi\) |
0.374339 | + | 0.927292i | \(0.377870\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.0599154 | + | 0.0194677i | −0.00240820 | + | 0.000782473i | −0.310221 | − | 0.950665i | \(-0.600403\pi\) |
0.307813 | + | 0.951447i | \(0.400403\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 46.6922 | − | 20.7887i | 1.87369 | − | 0.834222i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 2.28045 | − | 7.01849i | 0.0913641 | − | 0.281190i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.9109 | − | 7.92722i | 0.436435 | − | 0.317089i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −6.76587 | − | 8.04317i | −0.270203 | − | 0.321213i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −8.51094 | − | 11.7143i | −0.339353 | − | 0.467080i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.90232 | − | 23.0636i | −0.195158 | − | 0.918148i | −0.961306 | − | 0.275483i | \(-0.911162\pi\) |
0.766148 | − | 0.642665i | \(-0.222171\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 5.07061 | − | 48.2436i | 0.201539 | − | 1.91751i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.249243 | − | 1.17260i | 0.00989091 | − | 0.0465331i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.29926 | + | 10.7268i | 0.130721 | + | 0.425011i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 58.4825 | + | 33.7649i | 2.31353 | + | 1.33572i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −24.8416 | + | 27.5894i | −0.981185 | + | 1.08972i | 0.0147720 | + | 0.999891i | \(0.495298\pi\) |
−0.995957 | + | 0.0898260i | \(0.971369\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −33.3906 | − | 3.50949i | −1.31680 | − | 0.138401i | −0.580056 | − | 0.814576i | \(-0.696969\pi\) |
−0.736741 | + | 0.676175i | \(0.763636\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −126.124 | − | 40.9802i | −4.96613 | − | 1.61359i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.85489 | − | 27.1624i | −0.112237 | − | 1.06787i | −0.895160 | − | 0.445746i | \(-0.852938\pi\) |
0.782922 | − | 0.622119i | \(-0.213728\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.0420553 | − | 0.145987i | −0.00165082 | − | 0.00573051i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −85.8814 | + | 62.3965i | −3.36596 | + | 2.44551i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −22.7820 | − | 25.3020i | −0.891530 | − | 0.990144i | 0.108462 | − | 0.994101i | \(-0.465407\pi\) |
−0.999992 | + | 0.00395612i | \(0.998741\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 36.4970 | − | 50.2339i | 1.42606 | − | 1.96280i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −28.6038 | − | 25.7550i | −1.11594 | − | 1.00480i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 24.6267 | + | 42.6547i | 0.959320 | + | 1.66159i | 0.724158 | + | 0.689634i | \(0.242229\pi\) |
0.235161 | + | 0.971956i | \(0.424438\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.6537 | + | 7.30560i | 0.492171 | + | 0.284155i | 0.725475 | − | 0.688249i | \(-0.241620\pi\) |
−0.233304 | + | 0.972404i | \(0.574954\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −30.7223 | − | 14.2632i | −1.19316 | − | 0.553935i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.41693 | + | 9.92058i | 0.171281 | + | 0.384704i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −19.9371 | + | 4.23777i | −0.771968 | + | 0.164087i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 19.9052 | − | 44.7078i | 0.769579 | − | 1.72850i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.0352225 | + | 1.04545i | −0.00135975 | + | 0.0403591i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.91442 | − | 37.2433i | −0.150890 | − | 1.43562i | −0.763792 | − | 0.645463i | \(-0.776665\pi\) |
0.612902 | − | 0.790159i | \(-0.290002\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −26.9460 | + | 82.9312i | −1.03715 | + | 3.19203i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 14.1743 | + | 10.2982i | 0.544762 | + | 0.395792i | 0.825850 | − | 0.563889i | \(-0.190696\pi\) |
−0.281089 | + | 0.959682i | \(0.590696\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −46.4226 | − | 9.86742i | −1.78153 | − | 0.378677i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 66.0873i | − | 2.53247i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 13.9971 | − | 8.08121i | 0.535583 | − | 0.309219i | −0.207704 | − | 0.978192i | \(-0.566599\pi\) |
0.743287 | + | 0.668973i | \(0.233266\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.8675 | − | 12.0696i | 0.415226 | − | 0.461155i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −9.76105 | − | 21.9237i | −0.372407 | − | 0.836440i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.10962 | − | 16.3692i | −0.347049 | − | 0.623615i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.5131 | − | 1.21007i | 0.437978 | − | 0.0460333i | 0.117026 | − | 0.993129i | \(-0.462664\pi\) |
0.320952 | + | 0.947096i | \(0.395997\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 10.3141 | − | 74.0482i | 0.391800 | − | 2.81286i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −17.1444 | + | 38.5071i | −0.650326 | + | 1.46066i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 21.8072 | + | 7.08559i | 0.826007 | + | 0.268386i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −2.63669 | + | 1.17393i | −0.0997288 | + | 0.0444021i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.76226 | + | 5.42369i | 0.0665598 | + | 0.204850i | 0.978805 | − | 0.204795i | \(-0.0656527\pi\) |
−0.912245 | + | 0.409645i | \(0.865653\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.88447 | 0.184221 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 9.81704 | − | 17.0036i | 0.369731 | − | 0.640393i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 40.7612 | − | 13.2441i | 1.53298 | − | 0.498096i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −40.6633 | − | 4.27388i | −1.52714 | − | 0.160509i | −0.696598 | − | 0.717462i | \(-0.745304\pi\) |
−0.830544 | + | 0.556953i | \(0.811970\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 58.9125 | − | 12.5222i | 2.20939 | − | 0.469620i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 41.1373 | − | 4.32370i | 1.54060 | − | 0.161924i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −31.8828 | − | 25.6649i | −1.19235 | − | 0.959812i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 5.44069 | − | 0.571840i | 0.203186 | − | 0.0213558i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.2387 | − | 2.60141i | 0.456425 | − | 0.0970162i | 0.0260388 | − | 0.999661i | \(-0.491711\pi\) |
0.430386 | + | 0.902645i | \(0.358377\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 20.9829 | + | 2.20539i | 0.781442 | + | 0.0821329i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 27.9468 | − | 9.08048i | 1.03935 | − | 0.337707i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 17.3871 | − | 30.1153i | 0.645739 | − | 1.11845i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −40.5143 | −1.50259 | −0.751295 | − | 0.659966i | \(-0.770571\pi\) | ||||
−0.751295 | + | 0.659966i | \(0.770571\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 5.53192 | + | 17.0255i | 0.204886 | + | 0.630574i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 32.9605 | − | 14.6750i | 1.21909 | − | 0.542773i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.51325 | + | 2.44120i | 0.277508 | + | 0.0901679i | 0.444465 | − | 0.895796i | \(-0.353394\pi\) |
−0.166956 | + | 0.985964i | \(0.553394\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −13.7632 | + | 30.9127i | −0.507663 | + | 1.14023i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −31.3930 | − | 15.2637i | −1.15638 | − | 0.562245i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 31.7455 | − | 3.33659i | 1.16778 | − | 0.122739i | 0.499273 | − | 0.866445i | \(-0.333601\pi\) |
0.668506 | + | 0.743706i | \(0.266934\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 9.98413 | − | 5.55628i | 0.366776 | − | 0.204115i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −11.6547 | − | 26.1770i | −0.427571 | − | 0.960339i | −0.990961 | − | 0.134149i | \(-0.957170\pi\) |
0.563391 | − | 0.826191i | \(-0.309497\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.18950 | + | 1.32108i | −0.0435800 | + | 0.0484005i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −58.1416 | + | 33.5681i | −2.12729 | + | 1.22819i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 29.0206i | − | 1.06039i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.89098 | + | 1.67728i | 0.287946 | + | 0.0612048i | 0.349620 | − | 0.936892i | \(-0.386311\pi\) |
−0.0616743 | + | 0.998096i | \(0.519644\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −9.26034 | − | 6.72803i | −0.337466 | − | 0.245183i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 5.20569 | − | 16.0215i | 0.189455 | − | 0.583081i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.72565 | + | 44.9615i | 0.171757 | + | 1.63416i | 0.652851 | + | 0.757486i | \(0.273573\pi\) |
−0.481094 | + | 0.876669i | \(0.659761\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −25.4857 | + | 32.7029i | −0.925072 | + | 1.18704i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −10.5802 | + | 23.7634i | −0.383531 | + | 0.861424i | 0.613873 | + | 0.789405i | \(0.289611\pi\) |
−0.997403 | + | 0.0720189i | \(0.977056\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.6009 | − | 3.74118i | 0.637195 | − | 0.135440i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −29.1870 | − | 65.5550i | −1.05526 | − | 2.37015i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.164506 | − | 0.0146714i | 0.00593998 | − | 0.000529755i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.07767 | − | 4.66365i | −0.291288 | − | 0.168175i | 0.347234 | − | 0.937778i | \(-0.387121\pi\) |
−0.638523 | + | 0.769603i | \(0.720454\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 15.0769 | + | 26.1140i | 0.542983 | + | 0.940474i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.243136 | + | 0.218921i | 0.00874499 | + | 0.00787402i | 0.673492 | − | 0.739195i | \(-0.264794\pi\) |
−0.664747 | + | 0.747069i | \(0.731460\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −41.4799 | + | 57.0922i | −1.49000 | + | 2.05081i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 33.0876 | + | 36.7475i | 1.18701 | + | 1.31831i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −6.25764 | + | 4.54644i | −0.224203 | + | 0.162893i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −31.5781 | − | 1.06391i | −1.12995 | − | 0.0380696i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −7.02997 | − | 66.8857i | −0.251231 | − | 2.39030i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −24.9976 | − | 8.12220i | −0.892201 | − | 0.289894i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.57031 | + | 0.270151i | 0.0916217 | + | 0.00962983i | 0.150228 | − | 0.988651i | \(-0.451999\pi\) |
−0.0586066 | + | 0.998281i | \(0.518666\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 25.7981 | − | 28.6517i | 0.918437 | − | 1.02003i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −26.7425 | − | 15.4398i | −0.950852 | − | 0.548975i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.10845 | − | 0.253942i | −0.0393623 | − | 0.00901776i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 11.7436 | − | 55.2492i | 0.416501 | − | 1.95949i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −3.32268 | + | 31.6132i | −0.117695 | + | 1.11980i | 0.763094 | + | 0.646288i | \(0.223680\pi\) |
−0.880789 | + | 0.473509i | \(0.842987\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.11061 | + | 5.22500i | 0.0392905 | + | 0.184847i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.66904 | − | 13.3083i | −0.341639 | − | 0.470225i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 17.4793 | + | 4.33529i | 0.616832 | + | 0.152989i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 34.6562 | − | 25.1792i | 1.22147 | − | 0.887450i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −11.3107 | + | 34.8107i | −0.398155 | + | 1.22539i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −50.5313 | + | 22.4980i | −1.77658 | + | 0.790987i | −0.793320 | + | 0.608805i | \(0.791649\pi\) |
−0.983265 | + | 0.182181i | \(0.941684\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −43.5801 | + | 14.1600i | −1.53030 | + | 0.497226i | −0.948682 | − | 0.316233i | \(-0.897582\pi\) |
−0.581622 | + | 0.813459i | \(0.697582\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −37.2760 | + | 21.5213i | −1.30733 | + | 0.754785i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −23.6933 | − | 41.0380i | −0.829939 | − | 1.43750i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.53047 | + | 11.9049i | −0.0885299 | + | 0.416501i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 76.8925 | + | 26.3315i | 2.68684 | + | 0.920099i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1.65808 | − | 1.49294i | 0.0578675 | − | 0.0521041i | −0.639690 | − | 0.768633i | \(-0.720937\pi\) |
0.697557 | + | 0.716529i | \(0.254270\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.40961 | − | 3.74420i | −0.293140 | − | 0.130515i | 0.254897 | − | 0.966968i | \(-0.417958\pi\) |
−0.548038 | + | 0.836454i | \(0.684625\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −12.3686 | − | 69.6455i | −0.430619 | − | 2.42474i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −24.2642 | − | 33.3968i | −0.843748 | − | 1.16132i | −0.985206 | − | 0.171376i | \(-0.945179\pi\) |
0.141457 | − | 0.989944i | \(-0.454821\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −5.99277 | − | 6.65565i | −0.208138 | − | 0.231160i | 0.630033 | − | 0.776568i | \(-0.283041\pi\) |
−0.838171 | + | 0.545408i | \(0.816375\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 23.2214 | + | 16.8714i | 0.805543 | + | 0.585261i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −2.84485 | − | 8.75556i | −0.0985683 | − | 0.303362i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 22.9923 | − | 39.8238i | 0.795680 | − | 1.37816i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 136.484i | 4.71758i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −37.8876 | − | 34.1141i | −1.30802 | − | 1.17775i | −0.971757 | − | 0.235983i | \(-0.924169\pi\) |
−0.336267 | − | 0.941767i | \(-0.609164\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.227845 | − | 2.16780i | 0.00785671 | − | 0.0747516i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 45.3178 | − | 40.8044i | 1.56083 | − | 1.40538i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 33.9885 | − | 28.7152i | 1.16924 | − | 0.987833i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 12.0447 | + | 32.8413i | 0.413861 | + | 1.12844i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −34.2464 | − | 15.2475i | −1.17533 | − | 0.523292i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.00602 | − | 18.8468i | −0.137325 | − | 0.646061i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −11.0716 | + | 15.2388i | −0.379086 | + | 0.521767i | −0.955342 | − | 0.295502i | \(-0.904513\pi\) |
0.576256 | + | 0.817269i | \(0.304513\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 23.6777 | + | 5.03284i | 0.809759 | + | 0.172120i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 32.7622 | 1.11914 | 0.559568 | − | 0.828784i | \(-0.310967\pi\) | ||||
0.559568 | + | 0.828784i | \(0.310967\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.93483 | −0.270733 | −0.135366 | − | 0.990796i | \(-0.543221\pi\) | ||||
−0.135366 | + | 0.990796i | \(0.543221\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −76.5938 | − | 16.2805i | −2.61031 | − | 0.554839i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −5.60377 | + | 7.71292i | −0.190754 | + | 0.262551i | −0.893672 | − | 0.448720i | \(-0.851880\pi\) |
0.702918 | + | 0.711271i | \(0.251880\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.75950 | + | 22.3917i | 0.161828 | + | 0.761340i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −23.9448 | − | 10.6609i | −0.813207 | − | 0.362063i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −21.5648 | + | 18.1402i | −0.731536 | + | 0.615364i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 22.7866 | − | 30.3450i | 0.772095 | − | 1.02820i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −78.6186 | + | 70.7885i | −2.66084 | + | 2.39583i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.95079 | + | 18.5606i | −0.0659488 | + | 0.627461i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.42540 | + | 2.18384i | 0.0819000 | + | 0.0737431i | 0.709064 | − | 0.705144i | \(-0.249118\pi\) |
−0.627164 | + | 0.778887i | \(0.715784\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 21.8030i | 0.735397i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 7.27662 | − | 12.6035i | 0.245155 | − | 0.424622i | −0.717020 | − | 0.697053i | \(-0.754494\pi\) |
0.962175 | + | 0.272431i | \(0.0878276\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.888577 | − | 2.73476i | −0.0299030 | − | 0.0920319i | 0.934991 | − | 0.354671i | \(-0.115407\pi\) |
−0.964894 | + | 0.262639i | \(0.915407\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.402873 | + | 0.292705i | 0.0135424 | + | 0.00983916i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 7.21445 | + | 8.01245i | 0.242237 | + | 0.269032i | 0.851988 | − | 0.523562i | \(-0.175397\pi\) |
−0.609750 | + | 0.792593i | \(0.708730\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.654681 | − | 0.901091i | −0.0219573 | − | 0.0302216i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −47.7297 | − | 45.9789i | −1.59900 | − | 1.54035i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −1.64616 | − | 0.732916i | −0.0550865 | − | 0.0245261i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −18.5798 | + | 16.7293i | −0.621053 | + | 0.559199i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −29.6275 | − | 33.9670i | −0.989234 | − | 1.13412i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 11.3163 | − | 53.2391i | 0.377420 | − | 1.77562i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.68356 | + | 13.3083i | 0.255977 | + | 0.443364i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −106.706 | + | 61.6068i | −3.55096 | + | 2.05015i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 82.2628 | − | 26.7288i | 2.73451 | − | 0.888495i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.2358 | + | 6.78339i | −0.505895 | + | 0.225239i | −0.643782 | − | 0.765209i | \(-0.722636\pi\) |
0.137887 | + | 0.990448i | \(0.455969\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 29.5223 | − | 90.8602i | 0.979192 | − | 3.01364i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 10.8814 | − | 7.90578i | 0.360516 | − | 0.261930i | −0.392751 | − | 0.919645i | \(-0.628477\pi\) |
0.753267 | + | 0.657715i | \(0.228477\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 16.6130 | − | 26.6592i | 0.549811 | − | 0.882291i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.01536 | − | 2.77390i | −0.0666256 | − | 0.0917023i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −11.9946 | − | 56.4300i | −0.396096 | − | 1.86348i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.42734 | + | 51.6377i | −0.179031 | + | 1.70337i | 0.424008 | + | 0.905659i | \(0.360623\pi\) |
−0.603039 | + | 0.797712i | \(0.706044\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −10.2078 | + | 48.0238i | −0.336357 | + | 1.58244i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 7.67040 | − | 33.4811i | 0.252474 | − | 1.10204i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.4684 | + | 16.4362i | 0.936034 | + | 0.540420i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 31.4694 | − | 34.9503i | 1.03359 | − | 1.14792i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.26200 | − | 0.237745i | −0.0742137 | − | 0.00780017i | 0.0673488 | − | 0.997729i | \(-0.478546\pi\) |
−0.141563 | + | 0.989929i | \(0.545213\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.95354 | + | 0.959663i | 0.0967983 | + | 0.0314517i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 10.4118 | + | 99.0615i | 0.340867 | + | 3.24313i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 26.4826 | + | 20.6382i | 0.866074 | + | 0.674940i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −5.38019 | + | 3.90894i | −0.175763 | + | 0.127699i | −0.672189 | − | 0.740380i | \(-0.734646\pi\) |
0.496425 | + | 0.868079i | \(0.334646\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 13.5716 | + | 15.0728i | 0.442893 | + | 0.491882i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 25.3574 | − | 34.9014i | 0.826626 | − | 1.13775i | −0.161915 | − | 0.986805i | \(-0.551767\pi\) |
0.988542 | − | 0.150949i | \(-0.0482328\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 22.6748 | + | 20.4164i | 0.738392 | + | 0.664851i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 70.6731 | + | 122.409i | 2.29900 | + | 3.98198i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −17.9419 | − | 10.3588i | −0.583033 | − | 0.336614i | 0.179305 | − | 0.983794i | \(-0.442615\pi\) |
−0.762338 | + | 0.647179i | \(0.775949\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −8.24406 | + | 17.7574i | −0.267613 | + | 0.576429i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 20.6469 | + | 46.3736i | 0.669520 | + | 1.50377i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −52.3457 | + | 11.1264i | −1.69564 | + | 0.360420i | −0.951511 | − | 0.307614i | \(-0.900469\pi\) |
−0.744131 | + | 0.668034i | \(0.767136\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 13.4623 | − | 30.2368i | 0.435629 | − | 0.978439i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 30.5629 | + | 45.1915i | 0.987957 | + | 1.46083i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.57732 | − | 15.0072i | −0.0509344 | − | 0.484609i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −24.5533 | + | 75.5672i | −0.792041 | + | 2.43765i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −52.3350 | − | 38.0236i | −1.68647 | − | 1.22529i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 43.0133 | + | 9.14276i | 1.38465 | + | 0.294316i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 32.1331i | − | 1.03333i | −0.856187 | − | 0.516666i | \(-0.827173\pi\) | ||
0.856187 | − | 0.516666i | \(-0.172827\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8.11722 | + | 4.68648i | −0.260763 | + | 0.150551i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 5.31076 | − | 5.89819i | 0.170430 | − | 0.189282i | −0.651879 | − | 0.758323i | \(-0.726019\pi\) |
0.822309 | + | 0.569041i | \(0.192686\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.9291 | + | 35.7773i | 0.510662 | + | 1.14697i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 76.8877 | + | 1.21265i | 2.46238 | + | 0.0388360i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 19.3212 | − | 2.03074i | 0.618140 | − | 0.0649691i | 0.209717 | − | 0.977762i | \(-0.432746\pi\) |
0.408423 | + | 0.912793i | \(0.366079\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.92184 | + | 3.36549i | 0.221223 | + | 0.107562i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 16.3144 | − | 36.6427i | 0.520878 | − | 1.16991i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 22.2939 | + | 7.24372i | 0.711064 | + | 0.231039i | 0.642145 | − | 0.766584i | \(-0.278045\pi\) |
0.0689193 | + | 0.997622i | \(0.478045\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −26.3272 | + | 11.7216i | −0.838855 | + | 0.373482i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −5.63715 | − | 17.3494i | −0.179433 | − | 0.552237i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 48.0108 | 1.52665 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.08444 | − | 14.0027i | 0.256811 | − | 0.444809i | −0.708575 | − | 0.705635i | \(-0.750662\pi\) |
0.965386 | + | 0.260826i | \(0.0839950\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 53.4776 | − | 17.3759i | 1.69706 | − | 0.551408i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 58.4699 | + | 6.14543i | 1.85362 | + | 0.194823i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −52.4448 | + | 11.1475i | −1.66094 | + | 0.353044i | −0.940322 | − | 0.340286i | \(-0.889476\pi\) |
−0.720620 | + | 0.693330i | \(0.756143\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 63.2280 | − | 6.64553i | 2.00045 | − | 0.210255i |
(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 | 572.2.bq.a.69.1 | ✓ | 112 | |
11.4 | even | 5 | inner | 572.2.bq.a.433.14 | yes | 112 | |
13.10 | even | 6 | inner | 572.2.bq.a.465.14 | yes | 112 | |
143.114 | even | 30 | inner | 572.2.bq.a.257.1 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bq.a.69.1 | ✓ | 112 | 1.1 | even | 1 | trivial | |
572.2.bq.a.257.1 | yes | 112 | 143.114 | even | 30 | inner | |
572.2.bq.a.433.14 | yes | 112 | 11.4 | even | 5 | inner | |
572.2.bq.a.465.14 | yes | 112 | 13.10 | even | 6 | inner |