Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,2,Mod(139,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.c (of order \(2\), degree \(1\), 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: | \(1.11790562830\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6x^{14} + 28x^{12} + 16x^{10} - 40x^{8} + 610x^{6} + 1625x^{4} - 524x^{2} + 1444 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 139.11 | ||
Root | \(-1.61596 - 1.02509i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 140.139 |
Dual form | 140.2.c.b.139.10 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.331077 | + | 1.37491i | 0.234107 | + | 0.972211i | ||||
\(3\) | − | 2.13578i | − | 1.23309i | −0.787319 | − | 0.616546i | \(-0.788531\pi\) | ||
0.787319 | − | 0.616546i | \(-0.211469\pi\) | |||||||
\(4\) | −1.78078 | + | 0.910404i | −0.890388 | + | 0.455202i | ||||
\(5\) | 1.94442 | + | 1.10418i | 0.869572 | + | 0.493806i | ||||
\(6\) | 2.93651 | − | 0.707107i | 1.19883 | − | 0.288675i | ||||
\(7\) | 2.35829 | − | 1.19935i | 0.891352 | − | 0.453313i | ||||
\(8\) | −1.84130 | − | 2.14700i | −0.650998 | − | 0.759079i | ||||
\(9\) | −1.56155 | −0.520518 | ||||||||
\(10\) | −0.874406 | + | 3.03898i | −0.276511 | + | 0.961011i | ||||
\(11\) | 2.33205i | 0.703139i | 0.936162 | + | 0.351569i | \(0.114352\pi\) | ||||
−0.936162 | + | 0.351569i | \(0.885648\pi\) | |||||||
\(12\) | 1.94442 | + | 3.80335i | 0.561306 | + | 1.09793i | ||||
\(13\) | 1.09190 | 0.302837 | 0.151419 | − | 0.988470i | \(-0.451616\pi\) | ||||
0.151419 | + | 0.988470i | \(0.451616\pi\) | |||||||
\(14\) | 2.42978 | + | 2.84537i | 0.649387 | + | 0.760458i | ||||
\(15\) | 2.35829 | − | 4.15286i | 0.608909 | − | 1.07226i | ||||
\(16\) | 2.34233 | − | 3.24245i | 0.585582 | − | 0.810613i | ||||
\(17\) | −4.98074 | −1.20801 | −0.604003 | − | 0.796982i | \(-0.706429\pi\) | ||||
−0.604003 | + | 0.796982i | \(0.706429\pi\) | |||||||
\(18\) | −0.516994 | − | 2.14700i | −0.121857 | − | 0.506053i | ||||
\(19\) | −2.57501 | −0.590748 | −0.295374 | − | 0.955382i | \(-0.595444\pi\) | ||||
−0.295374 | + | 0.955382i | \(0.595444\pi\) | |||||||
\(20\) | −4.46783 | − | 0.196096i | −0.999038 | − | 0.0438485i | ||||
\(21\) | −2.56155 | − | 5.03680i | −0.558977 | − | 1.09912i | ||||
\(22\) | −3.20636 | + | 0.772087i | −0.683599 | + | 0.164609i | ||||
\(23\) | −6.04090 | −1.25961 | −0.629807 | − | 0.776752i | \(-0.716866\pi\) | ||||
−0.629807 | + | 0.776752i | \(0.716866\pi\) | |||||||
\(24\) | −4.58552 | + | 3.93261i | −0.936015 | + | 0.802741i | ||||
\(25\) | 2.56155 | + | 4.29400i | 0.512311 | + | 0.858800i | ||||
\(26\) | 0.361501 | + | 1.50126i | 0.0708962 | + | 0.294422i | ||||
\(27\) | − | 3.07221i | − | 0.591246i | ||||||
\(28\) | −3.10770 | + | 4.28278i | −0.587300 | + | 0.809369i | ||||
\(29\) | 0.561553 | 0.104278 | 0.0521389 | − | 0.998640i | \(-0.483396\pi\) | ||||
0.0521389 | + | 0.998640i | \(0.483396\pi\) | |||||||
\(30\) | 6.49060 | + | 1.86754i | 1.18502 | + | 0.340964i | ||||
\(31\) | −6.59603 | −1.18468 | −0.592341 | − | 0.805688i | \(-0.701796\pi\) | ||||
−0.592341 | + | 0.805688i | \(0.701796\pi\) | |||||||
\(32\) | 5.23358 | + | 2.14700i | 0.925175 | + | 0.379540i | ||||
\(33\) | 4.98074 | 0.867035 | ||||||||
\(34\) | −1.64901 | − | 6.84809i | −0.282802 | − | 1.17444i | ||||
\(35\) | 5.90983 | + | 0.271945i | 0.998943 | + | 0.0459670i | ||||
\(36\) | 2.78078 | − | 1.42164i | 0.463463 | − | 0.236941i | ||||
\(37\) | − | 5.49966i | − | 0.904138i | −0.891983 | − | 0.452069i | \(-0.850686\pi\) | ||
0.891983 | − | 0.452069i | \(-0.149314\pi\) | |||||||
\(38\) | −0.852526 | − | 3.54042i | −0.138298 | − | 0.574332i | ||||
\(39\) | − | 2.33205i | − | 0.373427i | ||||||
\(40\) | −1.20958 | − | 6.20781i | −0.191251 | − | 0.981541i | ||||
\(41\) | 8.48528i | 1.32518i | 0.748983 | + | 0.662589i | \(0.230542\pi\) | ||||
−0.748983 | + | 0.662589i | \(0.769458\pi\) | |||||||
\(42\) | 6.07709 | − | 5.18948i | 0.937715 | − | 0.800754i | ||||
\(43\) | 1.32431 | 0.201955 | 0.100977 | − | 0.994889i | \(-0.467803\pi\) | ||||
0.100977 | + | 0.994889i | \(0.467803\pi\) | |||||||
\(44\) | −2.12311 | − | 4.15286i | −0.320070 | − | 0.626067i | ||||
\(45\) | −3.03632 | − | 1.72424i | −0.452627 | − | 0.257035i | ||||
\(46\) | −2.00000 | − | 8.30571i | −0.294884 | − | 1.22461i | ||||
\(47\) | 9.74247i | 1.42109i | 0.703654 | + | 0.710543i | \(0.251550\pi\) | ||||
−0.703654 | + | 0.710543i | \(0.748450\pi\) | |||||||
\(48\) | −6.92516 | − | 5.00270i | −0.999561 | − | 0.722077i | ||||
\(49\) | 4.12311 | − | 5.65685i | 0.589015 | − | 0.808122i | ||||
\(50\) | −5.05581 | + | 4.94356i | −0.715000 | + | 0.699125i | ||||
\(51\) | 10.6378i | 1.48958i | ||||||||
\(52\) | −1.94442 | + | 0.994066i | −0.269643 | + | 0.137852i | ||||
\(53\) | − | 8.58800i | − | 1.17965i | −0.807530 | − | 0.589826i | \(-0.799196\pi\) | ||
0.807530 | − | 0.589826i | \(-0.200804\pi\) | |||||||
\(54\) | 4.22402 | − | 1.01714i | 0.574816 | − | 0.138415i | ||||
\(55\) | −2.57501 | + | 4.53448i | −0.347214 | + | 0.611430i | ||||
\(56\) | −6.91734 | − | 2.85489i | −0.924369 | − | 0.381501i | ||||
\(57\) | 5.49966i | 0.728447i | ||||||||
\(58\) | 0.185917 | + | 0.772087i | 0.0244121 | + | 0.101380i | ||||
\(59\) | 14.3211 | 1.86444 | 0.932222 | − | 0.361888i | \(-0.117868\pi\) | ||||
0.932222 | + | 0.361888i | \(0.117868\pi\) | |||||||
\(60\) | −0.418819 | + | 9.54231i | −0.0540693 | + | 1.23191i | ||||
\(61\) | 0.620058i | 0.0793903i | 0.999212 | + | 0.0396951i | \(0.0126387\pi\) | ||||
−0.999212 | + | 0.0396951i | \(0.987361\pi\) | |||||||
\(62\) | −2.18379 | − | 9.06897i | −0.277342 | − | 1.15176i | ||||
\(63\) | −3.68260 | + | 1.87285i | −0.463964 | + | 0.235957i | ||||
\(64\) | −1.21922 | + | 7.90655i | −0.152403 | + | 0.988318i | ||||
\(65\) | 2.12311 | + | 1.20565i | 0.263339 | + | 0.149543i | ||||
\(66\) | 1.64901 | + | 6.84809i | 0.202979 | + | 0.842941i | ||||
\(67\) | −4.71659 | −0.576223 | −0.288112 | − | 0.957597i | \(-0.593027\pi\) | ||||
−0.288112 | + | 0.957597i | \(0.593027\pi\) | |||||||
\(68\) | 8.86958 | − | 4.53448i | 1.07559 | − | 0.549887i | ||||
\(69\) | 12.9020i | 1.55322i | ||||||||
\(70\) | 1.58271 | + | 8.21554i | 0.189169 | + | 0.981944i | ||||
\(71\) | 11.9473i | 1.41789i | 0.705265 | + | 0.708943i | \(0.250828\pi\) | ||||
−0.705265 | + | 0.708943i | \(0.749172\pi\) | |||||||
\(72\) | 2.87529 | + | 3.35265i | 0.338856 | + | 0.395114i | ||||
\(73\) | −9.96148 | −1.16590 | −0.582951 | − | 0.812507i | \(-0.698102\pi\) | ||||
−0.582951 | + | 0.812507i | \(0.698102\pi\) | |||||||
\(74\) | 7.56155 | − | 1.82081i | 0.879013 | − | 0.211665i | ||||
\(75\) | 9.17104 | − | 5.47091i | 1.05898 | − | 0.631726i | ||||
\(76\) | 4.58552 | − | 2.34430i | 0.525995 | − | 0.268910i | ||||
\(77\) | 2.79695 | + | 5.49966i | 0.318742 | + | 0.626744i | ||||
\(78\) | 3.20636 | − | 0.772087i | 0.363049 | − | 0.0874216i | ||||
\(79\) | − | 10.6378i | − | 1.19684i | −0.801182 | − | 0.598421i | \(-0.795795\pi\) | ||
0.801182 | − | 0.598421i | \(-0.204205\pi\) | |||||||
\(80\) | 8.13474 | − | 3.71833i | 0.909492 | − | 0.415722i | ||||
\(81\) | −11.2462 | −1.24958 | ||||||||
\(82\) | −11.6665 | + | 2.80928i | −1.28835 | + | 0.310233i | ||||
\(83\) | 3.86098i | 0.423798i | 0.977292 | + | 0.211899i | \(0.0679648\pi\) | ||||
−0.977292 | + | 0.211899i | \(0.932035\pi\) | |||||||
\(84\) | 9.14707 | + | 6.63736i | 0.998027 | + | 0.724195i | ||||
\(85\) | −9.68466 | − | 5.49966i | −1.05045 | − | 0.596521i | ||||
\(86\) | 0.438447 | + | 1.82081i | 0.0472790 | + | 0.196343i | ||||
\(87\) | − | 1.19935i | − | 0.128584i | ||||||
\(88\) | 5.00691 | − | 4.29400i | 0.533738 | − | 0.457742i | ||||
\(89\) | − | 2.82843i | − | 0.299813i | −0.988700 | − | 0.149906i | \(-0.952103\pi\) | ||
0.988700 | − | 0.149906i | \(-0.0478972\pi\) | |||||||
\(90\) | 1.36543 | − | 4.74553i | 0.143929 | − | 0.500223i | ||||
\(91\) | 2.57501 | − | 1.30957i | 0.269935 | − | 0.137280i | ||||
\(92\) | 10.7575 | − | 5.49966i | 1.12155 | − | 0.573379i | ||||
\(93\) | 14.0877i | 1.46082i | ||||||||
\(94\) | −13.3951 | + | 3.22550i | −1.38159 | + | 0.332685i | ||||
\(95\) | −5.00691 | − | 2.84329i | −0.513698 | − | 0.291715i | ||||
\(96\) | 4.58552 | − | 11.1778i | 0.468008 | − | 1.14083i | ||||
\(97\) | 14.9422 | 1.51715 | 0.758576 | − | 0.651584i | \(-0.225895\pi\) | ||||
0.758576 | + | 0.651584i | \(0.225895\pi\) | |||||||
\(98\) | 9.14275 | + | 3.79606i | 0.923557 | + | 0.383460i | ||||
\(99\) | − | 3.64162i | − | 0.365996i | ||||||
\(100\) | −8.47083 | − | 5.31461i | −0.847083 | − | 0.531461i | ||||
\(101\) | − | 15.1104i | − | 1.50354i | −0.659425 | − | 0.751770i | \(-0.729200\pi\) | ||
0.659425 | − | 0.751770i | \(-0.270800\pi\) | |||||||
\(102\) | −14.6260 | + | 3.52191i | −1.44819 | + | 0.348722i | ||||
\(103\) | − | 5.47091i | − | 0.539065i | −0.962991 | − | 0.269532i | \(-0.913131\pi\) | ||
0.962991 | − | 0.269532i | \(-0.0868691\pi\) | |||||||
\(104\) | −2.01051 | − | 2.34430i | −0.197147 | − | 0.229878i | ||||
\(105\) | 0.580814 | − | 12.6221i | 0.0566816 | − | 1.23179i | ||||
\(106\) | 11.8078 | − | 2.84329i | 1.14687 | − | 0.276165i | ||||
\(107\) | 10.0138 | 0.968072 | 0.484036 | − | 0.875048i | \(-0.339170\pi\) | ||||
0.484036 | + | 0.875048i | \(0.339170\pi\) | |||||||
\(108\) | 2.79695 | + | 5.47091i | 0.269136 | + | 0.526439i | ||||
\(109\) | 4.56155 | 0.436918 | 0.218459 | − | 0.975846i | \(-0.429897\pi\) | ||||
0.218459 | + | 0.975846i | \(0.429897\pi\) | |||||||
\(110\) | −7.08705 | − | 2.03916i | −0.675724 | − | 0.194426i | ||||
\(111\) | −11.7460 | −1.11489 | ||||||||
\(112\) | 1.63506 | − | 10.4559i | 0.154498 | − | 0.987993i | ||||
\(113\) | − | 5.49966i | − | 0.517364i | −0.965963 | − | 0.258682i | \(-0.916712\pi\) | ||
0.965963 | − | 0.258682i | \(-0.0832882\pi\) | |||||||
\(114\) | −7.56155 | + | 1.82081i | −0.708204 | + | 0.170534i | ||||
\(115\) | −11.7460 | − | 6.67026i | −1.09532 | − | 0.622005i | ||||
\(116\) | −1.00000 | + | 0.511240i | −0.0928477 | + | 0.0474674i | ||||
\(117\) | −1.70505 | −0.157632 | ||||||||
\(118\) | 4.74137 | + | 19.6902i | 0.436478 | + | 1.81263i | ||||
\(119\) | −11.7460 | + | 5.97366i | −1.07676 | + | 0.547605i | ||||
\(120\) | −13.2585 | + | 2.58340i | −1.21033 | + | 0.235831i | ||||
\(121\) | 5.56155 | 0.505596 | ||||||||
\(122\) | −0.852526 | + | 0.205287i | −0.0771841 | + | 0.0185858i | ||||
\(123\) | 18.1227 | 1.63407 | ||||||||
\(124\) | 11.7460 | − | 6.00505i | 1.05483 | − | 0.539269i | ||||
\(125\) | 0.239369 | + | 11.1778i | 0.0214098 | + | 0.999771i | ||||
\(126\) | −3.79423 | − | 4.44320i | −0.338017 | − | 0.395832i | ||||
\(127\) | −5.29723 | −0.470053 | −0.235026 | − | 0.971989i | \(-0.575518\pi\) | ||||
−0.235026 | + | 0.971989i | \(0.575518\pi\) | |||||||
\(128\) | −11.2745 | + | 0.941346i | −0.996533 | + | 0.0832041i | ||||
\(129\) | − | 2.82843i | − | 0.249029i | ||||||
\(130\) | −0.954760 | + | 3.31825i | −0.0837380 | + | 0.291030i | ||||
\(131\) | 2.57501 | 0.224980 | 0.112490 | − | 0.993653i | \(-0.464117\pi\) | ||||
0.112490 | + | 0.993653i | \(0.464117\pi\) | |||||||
\(132\) | −8.86958 | + | 4.53448i | −0.771998 | + | 0.394676i | ||||
\(133\) | −6.07263 | + | 3.08835i | −0.526564 | + | 0.267794i | ||||
\(134\) | −1.56155 | − | 6.48490i | −0.134898 | − | 0.560210i | ||||
\(135\) | 3.39228 | − | 5.97366i | 0.291961 | − | 0.514131i | ||||
\(136\) | 9.17104 | + | 10.6937i | 0.786410 | + | 0.916973i | ||||
\(137\) | 3.08835i | 0.263855i | 0.991259 | + | 0.131928i | \(0.0421167\pi\) | ||||
−0.991259 | + | 0.131928i | \(0.957883\pi\) | |||||||
\(138\) | −17.7392 | + | 4.27156i | −1.51006 | + | 0.363619i | ||||
\(139\) | 4.02102 | 0.341058 | 0.170529 | − | 0.985353i | \(-0.445452\pi\) | ||||
0.170529 | + | 0.985353i | \(0.445452\pi\) | |||||||
\(140\) | −10.7717 | + | 4.89606i | −0.910371 | + | 0.413792i | ||||
\(141\) | 20.8078 | 1.75233 | ||||||||
\(142\) | −16.4265 | + | 3.95548i | −1.37849 | + | 0.331937i | ||||
\(143\) | 2.54635i | 0.212937i | ||||||||
\(144\) | −3.65767 | + | 5.06326i | −0.304806 | + | 0.421938i | ||||
\(145\) | 1.09190 | + | 0.620058i | 0.0906770 | + | 0.0514930i | ||||
\(146\) | −3.29801 | − | 13.6962i | −0.272946 | − | 1.13350i | ||||
\(147\) | −12.0818 | − | 8.80604i | −0.996489 | − | 0.726310i | ||||
\(148\) | 5.00691 | + | 9.79366i | 0.411565 | + | 0.805034i | ||||
\(149\) | −2.00000 | −0.163846 | −0.0819232 | − | 0.996639i | \(-0.526106\pi\) | ||||
−0.0819232 | + | 0.996639i | \(0.526106\pi\) | |||||||
\(150\) | 10.5583 | + | 10.7981i | 0.862086 | + | 0.881661i | ||||
\(151\) | − | 4.95118i | − | 0.402922i | −0.979497 | − | 0.201461i | \(-0.935431\pi\) | ||
0.979497 | − | 0.201461i | \(-0.0645689\pi\) | |||||||
\(152\) | 4.74137 | + | 5.52855i | 0.384576 | + | 0.448425i | ||||
\(153\) | 7.77769 | 0.628789 | ||||||||
\(154\) | −6.63555 | + | 5.66637i | −0.534708 | + | 0.456609i | ||||
\(155\) | −12.8255 | − | 7.28323i | −1.03017 | − | 0.585003i | ||||
\(156\) | 2.12311 | + | 4.15286i | 0.169984 | + | 0.332495i | ||||
\(157\) | 3.88884 | 0.310364 | 0.155182 | − | 0.987886i | \(-0.450404\pi\) | ||||
0.155182 | + | 0.987886i | \(0.450404\pi\) | |||||||
\(158\) | 14.6260 | − | 3.52191i | 1.16358 | − | 0.280188i | ||||
\(159\) | −18.3421 | −1.45462 | ||||||||
\(160\) | 7.80561 | + | 9.95352i | 0.617087 | + | 0.786895i | ||||
\(161\) | −14.2462 | + | 7.24517i | −1.12276 | + | 0.570999i | ||||
\(162\) | −3.72336 | − | 15.4626i | −0.292535 | − | 1.21485i | ||||
\(163\) | 11.5012 | 0.900840 | 0.450420 | − | 0.892817i | \(-0.351274\pi\) | ||||
0.450420 | + | 0.892817i | \(0.351274\pi\) | |||||||
\(164\) | −7.72503 | − | 15.1104i | −0.603224 | − | 1.17992i | ||||
\(165\) | 9.68466 | + | 5.49966i | 0.753950 | + | 0.428148i | ||||
\(166\) | −5.30852 | + | 1.27828i | −0.412021 | + | 0.0992139i | ||||
\(167\) | − | 0.673500i | − | 0.0521170i | −0.999660 | − | 0.0260585i | \(-0.991704\pi\) | ||
0.999660 | − | 0.0260585i | \(-0.00829562\pi\) | |||||||
\(168\) | −6.09742 | + | 14.7739i | −0.470426 | + | 1.13983i | ||||
\(169\) | −11.8078 | −0.908290 | ||||||||
\(170\) | 4.35519 | − | 15.1364i | 0.334028 | − | 1.16091i | ||||
\(171\) | 4.02102 | 0.307495 | ||||||||
\(172\) | −2.35829 | + | 1.20565i | −0.179818 | + | 0.0919303i | ||||
\(173\) | −11.0534 | −0.840372 | −0.420186 | − | 0.907438i | \(-0.638035\pi\) | ||||
−0.420186 | + | 0.907438i | \(0.638035\pi\) | |||||||
\(174\) | 1.64901 | − | 0.397078i | 0.125011 | − | 0.0301024i | ||||
\(175\) | 11.1909 | + | 7.05431i | 0.845954 | + | 0.533256i | ||||
\(176\) | 7.56155 | + | 5.46242i | 0.569973 | + | 0.411746i | ||||
\(177\) | − | 30.5866i | − | 2.29903i | ||||||
\(178\) | 3.88884 | − | 0.936426i | 0.291481 | − | 0.0701881i | ||||
\(179\) | 8.30571i | 0.620798i | 0.950606 | + | 0.310399i | \(0.100463\pi\) | ||||
−0.950606 | + | 0.310399i | \(0.899537\pi\) | |||||||
\(180\) | 6.97676 | + | 0.306215i | 0.520017 | + | 0.0228239i | ||||
\(181\) | − | 3.44849i | − | 0.256324i | −0.991753 | − | 0.128162i | \(-0.959092\pi\) | ||
0.991753 | − | 0.128162i | \(-0.0409077\pi\) | |||||||
\(182\) | 2.65307 | + | 3.10685i | 0.196659 | + | 0.230295i | ||||
\(183\) | 1.32431 | 0.0978956 | ||||||||
\(184\) | 11.1231 | + | 12.9698i | 0.820006 | + | 0.956147i | ||||
\(185\) | 6.07263 | − | 10.6937i | 0.446469 | − | 0.786213i | ||||
\(186\) | −19.3693 | + | 4.66410i | −1.42023 | + | 0.341988i | ||||
\(187\) | − | 11.6153i | − | 0.849396i | ||||||
\(188\) | −8.86958 | − | 17.3492i | −0.646881 | − | 1.26532i | ||||
\(189\) | −3.68466 | − | 7.24517i | −0.268019 | − | 0.527008i | ||||
\(190\) | 2.25161 | − | 7.82541i | 0.163349 | − | 0.567715i | ||||
\(191\) | − | 19.9660i | − | 1.44469i | −0.691535 | − | 0.722343i | \(-0.743065\pi\) | ||
0.691535 | − | 0.722343i | \(-0.256935\pi\) | |||||||
\(192\) | 16.8866 | + | 2.60399i | 1.21869 | + | 0.187927i | ||||
\(193\) | 5.49966i | 0.395874i | 0.980215 | + | 0.197937i | \(0.0634241\pi\) | ||||
−0.980215 | + | 0.197937i | \(0.936576\pi\) | |||||||
\(194\) | 4.94702 | + | 20.5443i | 0.355175 | + | 1.47499i | ||||
\(195\) | 2.57501 | − | 4.53448i | 0.184400 | − | 0.324721i | ||||
\(196\) | −2.19231 | + | 13.8273i | −0.156593 | + | 0.987663i | ||||
\(197\) | 16.4990i | 1.17550i | 0.809042 | + | 0.587751i | \(0.199987\pi\) | ||||
−0.809042 | + | 0.587751i | \(0.800013\pi\) | |||||||
\(198\) | 5.00691 | − | 1.20565i | 0.355825 | − | 0.0856821i | ||||
\(199\) | 18.3421 | 1.30024 | 0.650118 | − | 0.759834i | \(-0.274720\pi\) | ||||
0.650118 | + | 0.759834i | \(0.274720\pi\) | |||||||
\(200\) | 4.50263 | − | 13.4062i | 0.318384 | − | 0.947962i | ||||
\(201\) | 10.0736i | 0.710536i | ||||||||
\(202\) | 20.7755 | − | 5.00270i | 1.46176 | − | 0.351989i | ||||
\(203\) | 1.32431 | − | 0.673500i | 0.0929481 | − | 0.0472704i | ||||
\(204\) | −9.68466 | − | 18.9435i | −0.678062 | − | 1.32631i | ||||
\(205\) | −9.36932 | + | 16.4990i | −0.654381 | + | 1.15234i | ||||
\(206\) | 7.52203 | − | 1.81129i | 0.524085 | − | 0.126199i | ||||
\(207\) | 9.43318 | 0.655651 | ||||||||
\(208\) | 2.55758 | − | 3.54042i | 0.177336 | − | 0.245484i | ||||
\(209\) | − | 6.00505i | − | 0.415378i | ||||||
\(210\) | 17.5466 | − | 3.38031i | 1.21083 | − | 0.233264i | ||||
\(211\) | 0.287088i | 0.0197640i | 0.999951 | + | 0.00988198i | \(0.00314558\pi\) | ||||
−0.999951 | + | 0.00988198i | \(0.996854\pi\) | |||||||
\(212\) | 7.81855 | + | 15.2933i | 0.536980 | + | 1.05035i | ||||
\(213\) | 25.5169 | 1.74839 | ||||||||
\(214\) | 3.31534 | + | 13.7681i | 0.226632 | + | 0.941170i | ||||
\(215\) | 2.57501 | + | 1.46228i | 0.175614 | + | 0.0997266i | ||||
\(216\) | −6.59603 | + | 5.65685i | −0.448803 | + | 0.384900i | ||||
\(217\) | −15.5554 | + | 7.91096i | −1.05597 | + | 0.537031i | ||||
\(218\) | 1.51022 | + | 6.27174i | 0.102285 | + | 0.424776i | ||||
\(219\) | 21.2755i | 1.43767i | ||||||||
\(220\) | 0.457306 | − | 10.4192i | 0.0308316 | − | 0.702463i | ||||
\(221\) | −5.43845 | −0.365830 | ||||||||
\(222\) | −3.88884 | − | 16.1498i | −0.261002 | − | 1.08390i | ||||
\(223\) | 0.147647i | 0.00988718i | 0.999988 | + | 0.00494359i | \(0.00157360\pi\) | ||||
−0.999988 | + | 0.00494359i | \(0.998426\pi\) | |||||||
\(224\) | 14.9173 | − | 1.21365i | 0.996707 | − | 0.0810906i | ||||
\(225\) | −4.00000 | − | 6.70531i | −0.266667 | − | 0.447021i | ||||
\(226\) | 7.56155 | − | 1.82081i | 0.502987 | − | 0.121118i | ||||
\(227\) | 10.1530i | 0.673881i | 0.941526 | + | 0.336941i | \(0.109392\pi\) | ||||
−0.941526 | + | 0.336941i | \(0.890608\pi\) | |||||||
\(228\) | −5.00691 | − | 9.79366i | −0.331591 | − | 0.648601i | ||||
\(229\) | 9.45353i | 0.624707i | 0.949966 | + | 0.312354i | \(0.101117\pi\) | ||||
−0.949966 | + | 0.312354i | \(0.898883\pi\) | |||||||
\(230\) | 5.28219 | − | 18.3582i | 0.348298 | − | 1.21050i | ||||
\(231\) | 11.7460 | − | 5.97366i | 0.772833 | − | 0.393038i | ||||
\(232\) | −1.03399 | − | 1.20565i | −0.0678846 | − | 0.0791551i | ||||
\(233\) | 10.9993i | 0.720589i | 0.932839 | + | 0.360294i | \(0.117324\pi\) | ||||
−0.932839 | + | 0.360294i | \(0.882676\pi\) | |||||||
\(234\) | −0.564503 | − | 2.34430i | −0.0369027 | − | 0.153252i | ||||
\(235\) | −10.7575 | + | 18.9435i | −0.701741 | + | 1.23574i | ||||
\(236\) | −25.5026 | + | 13.0380i | −1.66008 | + | 0.848698i | ||||
\(237\) | −22.7199 | −1.47582 | ||||||||
\(238\) | −12.1021 | − | 14.1721i | −0.784464 | − | 0.918639i | ||||
\(239\) | 2.33205i | 0.150848i | 0.997152 | + | 0.0754238i | \(0.0240310\pi\) | ||||
−0.997152 | + | 0.0754238i | \(0.975969\pi\) | |||||||
\(240\) | −7.94153 | − | 17.3740i | −0.512624 | − | 1.12149i | ||||
\(241\) | 16.0786i | 1.03572i | 0.855466 | + | 0.517858i | \(0.173271\pi\) | ||||
−0.855466 | + | 0.517858i | \(0.826729\pi\) | |||||||
\(242\) | 1.84130 | + | 7.64666i | 0.118363 | + | 0.491546i | ||||
\(243\) | 14.8028i | 0.949601i | ||||||||
\(244\) | −0.564503 | − | 1.10418i | −0.0361386 | − | 0.0706882i | ||||
\(245\) | 14.2633 | − | 6.44664i | 0.911247 | − | 0.411861i | ||||
\(246\) | 6.00000 | + | 24.9171i | 0.382546 | + | 1.58866i | ||||
\(247\) | −2.81164 | −0.178901 | ||||||||
\(248\) | 12.1453 | + | 14.1617i | 0.771225 | + | 0.899267i | ||||
\(249\) | 8.24621 | 0.522582 | ||||||||
\(250\) | −15.2892 | + | 4.02981i | −0.966976 | + | 0.254868i | ||||
\(251\) | 9.17104 | 0.578871 | 0.289435 | − | 0.957198i | \(-0.406532\pi\) | ||||
0.289435 | + | 0.957198i | \(0.406532\pi\) | |||||||
\(252\) | 4.85284 | − | 6.68779i | 0.305700 | − | 0.421291i | ||||
\(253\) | − | 14.0877i | − | 0.885683i | ||||||
\(254\) | −1.75379 | − | 7.28323i | −0.110042 | − | 0.456991i | ||||
\(255\) | −11.7460 | + | 20.6843i | −0.735566 | + | 1.29530i | ||||
\(256\) | −5.02699 | − | 15.1898i | −0.314187 | − | 0.949361i | ||||
\(257\) | −6.55137 | −0.408663 | −0.204332 | − | 0.978902i | \(-0.565502\pi\) | ||||
−0.204332 | + | 0.978902i | \(0.565502\pi\) | |||||||
\(258\) | 3.88884 | − | 0.936426i | 0.242109 | − | 0.0582994i | ||||
\(259\) | −6.59603 | − | 12.9698i | −0.409857 | − | 0.805905i | ||||
\(260\) | −4.87841 | − | 0.214117i | −0.302546 | − | 0.0132790i | ||||
\(261\) | −0.876894 | −0.0542784 | ||||||||
\(262\) | 0.852526 | + | 3.54042i | 0.0526693 | + | 0.218728i | ||||
\(263\) | −23.5829 | −1.45419 | −0.727093 | − | 0.686539i | \(-0.759129\pi\) | ||||
−0.727093 | + | 0.686539i | \(0.759129\pi\) | |||||||
\(264\) | −9.17104 | − | 10.6937i | −0.564438 | − | 0.658149i | ||||
\(265\) | 9.48274 | − | 16.6987i | 0.582520 | − | 1.02579i | ||||
\(266\) | −6.25672 | − | 7.32687i | −0.383624 | − | 0.449239i | ||||
\(267\) | −6.04090 | −0.369697 | ||||||||
\(268\) | 8.39919 | − | 4.29400i | 0.513062 | − | 0.262298i | ||||
\(269\) | − | 0.968253i | − | 0.0590354i | −0.999564 | − | 0.0295177i | \(-0.990603\pi\) | ||
0.999564 | − | 0.0295177i | \(-0.00939715\pi\) | |||||||
\(270\) | 9.33638 | + | 2.68635i | 0.568194 | + | 0.163486i | ||||
\(271\) | 6.59603 | 0.400680 | 0.200340 | − | 0.979726i | \(-0.435795\pi\) | ||||
0.200340 | + | 0.979726i | \(0.435795\pi\) | |||||||
\(272\) | −11.6665 | + | 16.1498i | −0.707387 | + | 0.979226i | ||||
\(273\) | −2.79695 | − | 5.49966i | −0.169279 | − | 0.332854i | ||||
\(274\) | −4.24621 | + | 1.02248i | −0.256523 | + | 0.0617703i | ||||
\(275\) | −10.0138 | + | 5.97366i | −0.603856 | + | 0.360225i | ||||
\(276\) | −11.7460 | − | 22.9756i | −0.707029 | − | 1.38297i | ||||
\(277\) | − | 19.5873i | − | 1.17689i | −0.808538 | − | 0.588444i | \(-0.799741\pi\) | ||
0.808538 | − | 0.588444i | \(-0.200259\pi\) | |||||||
\(278\) | 1.33126 | + | 5.52855i | 0.0798440 | + | 0.331580i | ||||
\(279\) | 10.3000 | 0.616648 | ||||||||
\(280\) | −10.2979 | − | 13.1891i | −0.615417 | − | 0.788201i | ||||
\(281\) | 17.0540 | 1.01735 | 0.508677 | − | 0.860957i | \(-0.330135\pi\) | ||||
0.508677 | + | 0.860957i | \(0.330135\pi\) | |||||||
\(282\) | 6.88897 | + | 28.6089i | 0.410232 | + | 1.70363i | ||||
\(283\) | 7.45904i | 0.443394i | 0.975116 | + | 0.221697i | \(0.0711596\pi\) | ||||
−0.975116 | + | 0.221697i | \(0.928840\pi\) | |||||||
\(284\) | −10.8769 | − | 21.2755i | −0.645425 | − | 1.26247i | ||||
\(285\) | −6.07263 | + | 10.6937i | −0.359712 | + | 0.633437i | ||||
\(286\) | −3.50102 | + | 0.843038i | −0.207019 | + | 0.0498499i | ||||
\(287\) | 10.1768 | + | 20.0108i | 0.600720 | + | 1.18120i | ||||
\(288\) | −8.17252 | − | 3.35265i | −0.481570 | − | 0.197557i | ||||
\(289\) | 7.80776 | 0.459280 | ||||||||
\(290\) | −0.491025 | + | 1.70655i | −0.0288340 | + | 0.100212i | ||||
\(291\) | − | 31.9133i | − | 1.87079i | ||||||
\(292\) | 17.7392 | − | 9.06897i | 1.03811 | − | 0.530721i | ||||
\(293\) | −14.4635 | −0.844965 | −0.422483 | − | 0.906371i | \(-0.638841\pi\) | ||||
−0.422483 | + | 0.906371i | \(0.638841\pi\) | |||||||
\(294\) | 8.10755 | − | 19.5269i | 0.472842 | − | 1.13883i | ||||
\(295\) | 27.8462 | + | 15.8131i | 1.62127 | + | 0.920674i | ||||
\(296\) | −11.8078 | + | 10.1265i | −0.686312 | + | 0.588592i | ||||
\(297\) | 7.16453 | 0.415728 | ||||||||
\(298\) | −0.662153 | − | 2.74983i | −0.0383575 | − | 0.159293i | ||||
\(299\) | −6.59603 | −0.381458 | ||||||||
\(300\) | −11.3508 | + | 18.0918i | −0.655340 | + | 1.04453i | ||||
\(301\) | 3.12311 | − | 1.58831i | 0.180013 | − | 0.0915487i | ||||
\(302\) | 6.80745 | − | 1.63922i | 0.391725 | − | 0.0943266i | ||||
\(303\) | −32.2725 | −1.85400 | ||||||||
\(304\) | −6.03152 | + | 8.34935i | −0.345932 | + | 0.478868i | ||||
\(305\) | −0.684658 | + | 1.20565i | −0.0392034 | + | 0.0690356i | ||||
\(306\) | 2.57501 | + | 10.6937i | 0.147204 | + | 0.611315i | ||||
\(307\) | 13.8987i | 0.793243i | 0.917982 | + | 0.396622i | \(0.129818\pi\) | ||||
−0.917982 | + | 0.396622i | \(0.870182\pi\) | |||||||
\(308\) | −9.98765 | − | 7.24730i | −0.569099 | − | 0.412953i | ||||
\(309\) | −11.6847 | −0.664717 | ||||||||
\(310\) | 5.76761 | − | 20.0452i | 0.327578 | − | 1.13849i | ||||
\(311\) | 1.44600 | 0.0819954 | 0.0409977 | − | 0.999159i | \(-0.486946\pi\) | ||||
0.0409977 | + | 0.999159i | \(0.486946\pi\) | |||||||
\(312\) | −5.00691 | + | 4.29400i | −0.283460 | + | 0.243100i | ||||
\(313\) | 7.16453 | 0.404963 | 0.202482 | − | 0.979286i | \(-0.435099\pi\) | ||||
0.202482 | + | 0.979286i | \(0.435099\pi\) | |||||||
\(314\) | 1.28751 | + | 5.34683i | 0.0726581 | + | 0.301739i | ||||
\(315\) | −9.22851 | − | 0.424656i | −0.519967 | − | 0.0239266i | ||||
\(316\) | 9.68466 | + | 18.9435i | 0.544805 | + | 1.06565i | ||||
\(317\) | − | 24.4099i | − | 1.37100i | −0.728073 | − | 0.685499i | \(-0.759584\pi\) | ||
0.728073 | − | 0.685499i | \(-0.240416\pi\) | |||||||
\(318\) | −6.07263 | − | 25.2188i | −0.340536 | − | 1.41420i | ||||
\(319\) | 1.30957i | 0.0733217i | ||||||||
\(320\) | −11.1010 | + | 14.0274i | −0.620563 | + | 0.784156i | ||||
\(321\) | − | 21.3873i | − | 1.19372i | ||||||
\(322\) | −14.6781 | − | 17.1886i | −0.817977 | − | 0.957884i | ||||
\(323\) | 12.8255 | 0.713628 | ||||||||
\(324\) | 20.0270 | − | 10.2386i | 1.11261 | − | 0.568811i | ||||
\(325\) | 2.79695 | + | 4.68860i | 0.155147 | + | 0.260077i | ||||
\(326\) | 3.80776 | + | 15.8131i | 0.210893 | + | 0.875806i | ||||
\(327\) | − | 9.74247i | − | 0.538760i | ||||||
\(328\) | 18.2179 | − | 15.6240i | 1.00592 | − | 0.862689i | ||||
\(329\) | 11.6847 | + | 22.9756i | 0.644196 | + | 1.26669i | ||||
\(330\) | −4.35519 | + | 15.1364i | −0.239745 | + | 0.833230i | ||||
\(331\) | 8.30571i | 0.456523i | 0.973600 | + | 0.228262i | \(0.0733041\pi\) | ||||
−0.973600 | + | 0.228262i | \(0.926696\pi\) | |||||||
\(332\) | −3.51506 | − | 6.87555i | −0.192914 | − | 0.377345i | ||||
\(333\) | 8.58800i | 0.470620i | ||||||||
\(334\) | 0.926004 | − | 0.222980i | 0.0506687 | − | 0.0122009i | ||||
\(335\) | −9.17104 | − | 5.20798i | −0.501067 | − | 0.284543i | ||||
\(336\) | −22.3316 | − | 3.49212i | −1.21829 | − | 0.190511i | ||||
\(337\) | 30.5866i | 1.66616i | 0.553153 | + | 0.833080i | \(0.313425\pi\) | ||||
−0.553153 | + | 0.833080i | \(0.686575\pi\) | |||||||
\(338\) | −3.90928 | − | 16.2347i | −0.212637 | − | 0.883049i | ||||
\(339\) | −11.7460 | −0.637958 | ||||||||
\(340\) | 22.2531 | + | 0.976705i | 1.20684 | + | 0.0529693i | ||||
\(341\) | − | 15.3823i | − | 0.832996i | ||||||
\(342\) | 1.33126 | + | 5.52855i | 0.0719866 | + | 0.298950i | ||||
\(343\) | 2.93893 | − | 18.2856i | 0.158687 | − | 0.987329i | ||||
\(344\) | −2.43845 | − | 2.84329i | −0.131472 | − | 0.153300i | ||||
\(345\) | −14.2462 | + | 25.0870i | −0.766990 | + | 1.35064i | ||||
\(346\) | −3.65951 | − | 15.1974i | −0.196737 | − | 0.817019i | ||||
\(347\) | 1.32431 | 0.0710925 | 0.0355463 | − | 0.999368i | \(-0.488683\pi\) | ||||
0.0355463 | + | 0.999368i | \(0.488683\pi\) | |||||||
\(348\) | 1.09190 | + | 2.13578i | 0.0585317 | + | 0.114490i | ||||
\(349\) | − | 18.8307i | − | 1.00799i | −0.863708 | − | 0.503993i | \(-0.831864\pi\) | ||
0.863708 | − | 0.503993i | \(-0.168136\pi\) | |||||||
\(350\) | −5.99402 | + | 17.7221i | −0.320394 | + | 0.947284i | ||||
\(351\) | − | 3.35453i | − | 0.179051i | ||||||
\(352\) | −5.00691 | + | 12.2050i | −0.266869 | + | 0.650527i | ||||
\(353\) | −16.1685 | −0.860564 | −0.430282 | − | 0.902694i | \(-0.641586\pi\) | ||||
−0.430282 | + | 0.902694i | \(0.641586\pi\) | |||||||
\(354\) | 42.0540 | − | 10.1265i | 2.23514 | − | 0.538218i | ||||
\(355\) | −13.1921 | + | 23.2306i | −0.700162 | + | 1.23295i | ||||
\(356\) | 2.57501 | + | 5.03680i | 0.136475 | + | 0.266950i | ||||
\(357\) | 12.7584 | + | 25.0870i | 0.675248 | + | 1.32774i | ||||
\(358\) | −11.4196 | + | 2.74983i | −0.603547 | + | 0.145333i | ||||
\(359\) | 10.3507i | 0.546288i | 0.961973 | + | 0.273144i | \(0.0880635\pi\) | ||||
−0.961973 | + | 0.273144i | \(0.911937\pi\) | |||||||
\(360\) | 1.88882 | + | 9.69382i | 0.0995497 | + | 0.510909i | ||||
\(361\) | −12.3693 | −0.651017 | ||||||||
\(362\) | 4.74137 | − | 1.14171i | 0.249201 | − | 0.0600071i | ||||
\(363\) | − | 11.8782i | − | 0.623446i | ||||||
\(364\) | −3.39328 | + | 4.67635i | −0.177856 | + | 0.245107i | ||||
\(365\) | −19.3693 | − | 10.9993i | −1.01384 | − | 0.575730i | ||||
\(366\) | 0.438447 | + | 1.82081i | 0.0229180 | + | 0.0951752i | ||||
\(367\) | − | 23.3783i | − | 1.22034i | −0.792272 | − | 0.610168i | \(-0.791102\pi\) | ||
0.792272 | − | 0.610168i | \(-0.208898\pi\) | |||||||
\(368\) | −14.1498 | + | 19.5873i | −0.737608 | + | 1.02106i | ||||
\(369\) | − | 13.2502i | − | 0.689779i | ||||||
\(370\) | 16.7134 | + | 4.80893i | 0.868886 | + | 0.250004i | ||||
\(371\) | −10.3000 | − | 20.2530i | −0.534752 | − | 1.05149i | ||||
\(372\) | −12.8255 | − | 25.0870i | −0.664969 | − | 1.30070i | ||||
\(373\) | − | 11.6763i | − | 0.604578i | −0.953216 | − | 0.302289i | \(-0.902249\pi\) | ||
0.953216 | − | 0.302289i | \(-0.0977508\pi\) | |||||||
\(374\) | 15.9701 | − | 3.84556i | 0.825793 | − | 0.198849i | ||||
\(375\) | 23.8733 | − | 0.511240i | 1.23281 | − | 0.0264003i | ||||
\(376\) | 20.9171 | − | 17.9388i | 1.07872 | − | 0.925124i | ||||
\(377\) | 0.613157 | 0.0315792 | ||||||||
\(378\) | 8.74157 | − | 7.46479i | 0.449618 | − | 0.383948i | ||||
\(379\) | − | 24.9171i | − | 1.27991i | −0.768414 | − | 0.639954i | \(-0.778954\pi\) | ||
0.768414 | − | 0.639954i | \(-0.221046\pi\) | |||||||
\(380\) | 11.5047 | + | 0.504951i | 0.590180 | + | 0.0259034i | ||||
\(381\) | 11.3137i | 0.579619i | ||||||||
\(382\) | 27.4515 | − | 6.61026i | 1.40454 | − | 0.338210i | ||||
\(383\) | − | 18.6638i | − | 0.953675i | −0.878991 | − | 0.476838i | \(-0.841783\pi\) | ||
0.878991 | − | 0.476838i | \(-0.158217\pi\) | |||||||
\(384\) | 2.01051 | + | 24.0798i | 0.102598 | + | 1.22882i | ||||
\(385\) | −0.634188 | + | 13.7820i | −0.0323212 | + | 0.702396i | ||||
\(386\) | −7.56155 | + | 1.82081i | −0.384873 | + | 0.0926767i | ||||
\(387\) | −2.06798 | −0.105121 | ||||||||
\(388\) | −26.6087 | + | 13.6035i | −1.35085 | + | 0.690611i | ||||
\(389\) | −11.9309 | −0.604919 | −0.302460 | − | 0.953162i | \(-0.597808\pi\) | ||||
−0.302460 | + | 0.953162i | \(0.597808\pi\) | |||||||
\(390\) | 7.08705 | + | 2.03916i | 0.358867 | + | 0.103257i | ||||
\(391\) | 30.0881 | 1.52162 | ||||||||
\(392\) | −19.7371 | + | 1.56366i | −0.996876 | + | 0.0789767i | ||||
\(393\) | − | 5.49966i | − | 0.277421i | ||||||
\(394\) | −22.6847 | + | 5.46242i | −1.14284 | + | 0.275193i | ||||
\(395\) | 11.7460 | − | 20.6843i | 0.591008 | − | 1.04074i | ||||
\(396\) | 3.31534 | + | 6.48490i | 0.166602 | + | 0.325879i | ||||
\(397\) | 21.0149 | 1.05471 | 0.527353 | − | 0.849647i | \(-0.323185\pi\) | ||||
0.527353 | + | 0.849647i | \(0.323185\pi\) | |||||||
\(398\) | 6.07263 | + | 25.2188i | 0.304394 | + | 1.26410i | ||||
\(399\) | 6.59603 | + | 12.9698i | 0.330214 | + | 0.649303i | ||||
\(400\) | 19.9231 | + | 1.75225i | 0.996155 | + | 0.0876127i | ||||
\(401\) | 13.4384 | 0.671084 | 0.335542 | − | 0.942025i | \(-0.391081\pi\) | ||||
0.335542 | + | 0.942025i | \(0.391081\pi\) | |||||||
\(402\) | −13.8503 | + | 3.33513i | −0.690791 | + | 0.166341i | ||||
\(403\) | −7.20217 | −0.358766 | ||||||||
\(404\) | 13.7566 | + | 26.9082i | 0.684414 | + | 1.33873i | ||||
\(405\) | −21.8674 | − | 12.4179i | −1.08660 | − | 0.617050i | ||||
\(406\) | 1.36445 | + | 1.59783i | 0.0677166 | + | 0.0792989i | ||||
\(407\) | 12.8255 | 0.635734 | ||||||||
\(408\) | 22.8393 | − | 19.5873i | 1.13071 | − | 0.969717i | ||||
\(409\) | 30.2208i | 1.49432i | 0.664643 | + | 0.747161i | \(0.268583\pi\) | ||||
−0.664643 | + | 0.747161i | \(0.731417\pi\) | |||||||
\(410\) | −25.7866 | − | 7.41958i | −1.27351 | − | 0.366427i | ||||
\(411\) | 6.59603 | 0.325358 | ||||||||
\(412\) | 4.98074 | + | 9.74247i | 0.245383 | + | 0.479977i | ||||
\(413\) | 33.7733 | − | 17.1760i | 1.66187 | − | 0.845176i | ||||
\(414\) | 3.12311 | + | 12.9698i | 0.153492 | + | 0.637431i | ||||
\(415\) | −4.26324 | + | 7.50738i | −0.209274 | + | 0.368523i | ||||
\(416\) | 5.71453 | + | 2.34430i | 0.280178 | + | 0.114939i | ||||
\(417\) | − | 8.58800i | − | 0.420556i | ||||||
\(418\) | 8.25643 | − | 1.98813i | 0.403835 | − | 0.0972427i | ||||
\(419\) | −22.3631 | −1.09251 | −0.546254 | − | 0.837619i | \(-0.683947\pi\) | ||||
−0.546254 | + | 0.837619i | \(0.683947\pi\) | |||||||
\(420\) | 10.4569 | + | 23.0059i | 0.510244 | + | 1.12257i | ||||
\(421\) | 12.5616 | 0.612213 | 0.306106 | − | 0.951997i | \(-0.400974\pi\) | ||||
0.306106 | + | 0.951997i | \(0.400974\pi\) | |||||||
\(422\) | −0.394722 | + | 0.0950482i | −0.0192147 | + | 0.00462688i | ||||
\(423\) | − | 15.2134i | − | 0.739700i | ||||||
\(424\) | −18.4384 | + | 15.8131i | −0.895450 | + | 0.767952i | ||||
\(425\) | −12.7584 | − | 21.3873i | −0.618875 | − | 1.03744i | ||||
\(426\) | 8.44804 | + | 35.0835i | 0.409309 | + | 1.69980i | ||||
\(427\) | 0.743668 | + | 1.46228i | 0.0359886 | + | 0.0707647i | ||||
\(428\) | −17.8324 | + | 9.11662i | −0.861960 | + | 0.440668i | ||||
\(429\) | 5.43845 | 0.262571 | ||||||||
\(430\) | −1.15798 | + | 4.02455i | −0.0558428 | + | 0.194081i | ||||
\(431\) | 11.6602i | 0.561654i | 0.959758 | + | 0.280827i | \(0.0906087\pi\) | ||||
−0.959758 | + | 0.280827i | \(0.909391\pi\) | |||||||
\(432\) | −9.96148 | − | 7.19612i | −0.479272 | − | 0.346223i | ||||
\(433\) | 9.00400 | 0.432705 | 0.216352 | − | 0.976315i | \(-0.430584\pi\) | ||||
0.216352 | + | 0.976315i | \(0.430584\pi\) | |||||||
\(434\) | −16.0269 | − | 18.7682i | −0.769317 | − | 0.900901i | ||||
\(435\) | 1.32431 | − | 2.33205i | 0.0634957 | − | 0.111813i | ||||
\(436\) | −8.12311 | + | 4.15286i | −0.389026 | + | 0.198886i | ||||
\(437\) | 15.5554 | 0.744114 | ||||||||
\(438\) | −29.2520 | + | 7.04383i | −1.39771 | + | 0.336567i | ||||
\(439\) | 31.5341 | 1.50504 | 0.752521 | − | 0.658568i | \(-0.228838\pi\) | ||||
0.752521 | + | 0.658568i | \(0.228838\pi\) | |||||||
\(440\) | 14.4769 | − | 2.82080i | 0.690160 | − | 0.134476i | ||||
\(441\) | −6.43845 | + | 8.83348i | −0.306593 | + | 0.420642i | ||||
\(442\) | −1.80054 | − | 7.47740i | −0.0856431 | − | 0.355663i | ||||
\(443\) | 17.5420 | 0.833448 | 0.416724 | − | 0.909033i | \(-0.363178\pi\) | ||||
0.416724 | + | 0.909033i | \(0.363178\pi\) | |||||||
\(444\) | 20.9171 | − | 10.6937i | 0.992681 | − | 0.507498i | ||||
\(445\) | 3.12311 | − | 5.49966i | 0.148049 | − | 0.260709i | ||||
\(446\) | −0.203002 | + | 0.0488825i | −0.00961242 | + | 0.00231465i | ||||
\(447\) | 4.27156i | 0.202038i | ||||||||
\(448\) | 6.60745 | + | 20.1082i | 0.312173 | + | 0.950025i | ||||
\(449\) | 6.31534 | 0.298039 | 0.149020 | − | 0.988834i | \(-0.452388\pi\) | ||||
0.149020 | + | 0.988834i | \(0.452388\pi\) | |||||||
\(450\) | 7.89492 | − | 7.71963i | 0.372170 | − | 0.363907i | ||||
\(451\) | −19.7881 | −0.931784 | ||||||||
\(452\) | 5.00691 | + | 9.79366i | 0.235505 | + | 0.460655i | ||||
\(453\) | −10.5746 | −0.496840 | ||||||||
\(454\) | −13.9596 | + | 3.36144i | −0.655155 | + | 0.157760i | ||||
\(455\) | 6.45291 | + | 0.296935i | 0.302517 | + | 0.0139205i | ||||
\(456\) | 11.8078 | − | 10.1265i | 0.552949 | − | 0.474218i | ||||
\(457\) | − | 10.3223i | − | 0.482856i | −0.970419 | − | 0.241428i | \(-0.922384\pi\) | ||
0.970419 | − | 0.241428i | \(-0.0776157\pi\) | |||||||
\(458\) | −12.9978 | + | 3.12985i | −0.607347 | + | 0.146248i | ||||
\(459\) | 15.3019i | 0.714229i | ||||||||
\(460\) | 26.9897 | + | 1.18460i | 1.25840 | + | 0.0552322i | ||||
\(461\) | 21.1154i | 0.983444i | 0.870752 | + | 0.491722i | \(0.163632\pi\) | ||||
−0.870752 | + | 0.491722i | \(0.836368\pi\) | |||||||
\(462\) | 12.1021 | + | 14.1721i | 0.563041 | + | 0.659344i | ||||
\(463\) | −24.3266 | −1.13055 | −0.565277 | − | 0.824901i | \(-0.691231\pi\) | ||||
−0.565277 | + | 0.824901i | \(0.691231\pi\) | |||||||
\(464\) | 1.31534 | − | 1.82081i | 0.0610632 | − | 0.0845289i | ||||
\(465\) | −15.5554 | + | 27.3924i | −0.721363 | + | 1.27029i | ||||
\(466\) | −15.1231 | + | 3.64162i | −0.700564 | + | 0.168695i | ||||
\(467\) | − | 23.1983i | − | 1.07349i | −0.843745 | − | 0.536744i | \(-0.819654\pi\) | ||
0.843745 | − | 0.536744i | \(-0.180346\pi\) | |||||||
\(468\) | 3.03632 | − | 1.55229i | 0.140354 | − | 0.0717545i | ||||
\(469\) | −11.1231 | + | 5.65685i | −0.513617 | + | 0.261209i | ||||
\(470\) | −29.6072 | − | 8.51887i | −1.36568 | − | 0.392946i | ||||
\(471\) | − | 8.30571i | − | 0.382707i | ||||||
\(472\) | −26.3694 | − | 30.7473i | −1.21375 | − | 1.41526i | ||||
\(473\) | 3.08835i | 0.142002i | ||||||||
\(474\) | −7.52203 | − | 31.2379i | −0.345498 | − | 1.43480i | ||||
\(475\) | −6.59603 | − | 11.0571i | −0.302646 | − | 0.507335i | ||||
\(476\) | 15.4786 | − | 21.3314i | 0.709462 | − | 0.977724i | ||||
\(477\) | 13.4106i | 0.614030i | ||||||||
\(478\) | −3.20636 | + | 0.772087i | −0.146656 | + | 0.0353144i | ||||
\(479\) | −30.0881 | −1.37476 | −0.687381 | − | 0.726297i | \(-0.741240\pi\) | ||||
−0.687381 | + | 0.726297i | \(0.741240\pi\) | |||||||
\(480\) | 21.2585 | − | 16.6711i | 0.970314 | − | 0.760926i | ||||
\(481\) | − | 6.00505i | − | 0.273807i | ||||||
\(482\) | −22.1067 | + | 5.32326i | −1.00693 | + | 0.242468i | ||||
\(483\) | 15.4741 | + | 30.4268i | 0.704095 | + | 1.38447i | ||||
\(484\) | −9.90388 | + | 5.06326i | −0.450176 | + | 0.230148i | ||||
\(485\) | 29.0540 | + | 16.4990i | 1.31927 | + | 0.749179i | ||||
\(486\) | −20.3526 | + | 4.90086i | −0.923212 | + | 0.222308i | ||||
\(487\) | 1.16128 | 0.0526225 | 0.0263112 | − | 0.999654i | \(-0.491624\pi\) | ||||
0.0263112 | + | 0.999654i | \(0.491624\pi\) | |||||||
\(488\) | 1.33126 | − | 1.14171i | 0.0602635 | − | 0.0516829i | ||||
\(489\) | − | 24.5639i | − | 1.11082i | ||||||
\(490\) | 13.5858 | + | 17.4764i | 0.613744 | + | 0.789505i | ||||
\(491\) | − | 14.2794i | − | 0.644419i | −0.946668 | − | 0.322210i | \(-0.895574\pi\) | ||
0.946668 | − | 0.322210i | \(-0.104426\pi\) | |||||||
\(492\) | −32.2725 | + | 16.4990i | −1.45495 | + | 0.743831i | ||||
\(493\) | −2.79695 | −0.125968 | ||||||||
\(494\) | −0.930870 | − | 3.86577i | −0.0418818 | − | 0.173929i | ||||
\(495\) | 4.02102 | − | 7.08084i | 0.180731 | − | 0.318260i | ||||
\(496\) | −15.4501 | + | 21.3873i | −0.693729 | + | 0.960318i | ||||
\(497\) | 14.3291 | + | 28.1753i | 0.642746 | + | 1.26384i | ||||
\(498\) | 2.73013 | + | 11.3378i | 0.122340 | + | 0.508060i | ||||
\(499\) | − | 25.6525i | − | 1.14836i | −0.818727 | − | 0.574182i | \(-0.805320\pi\) | ||
0.818727 | − | 0.574182i | \(-0.194680\pi\) | |||||||
\(500\) | −10.6026 | − | 19.6872i | −0.474161 | − | 0.880438i | ||||
\(501\) | −1.43845 | −0.0642651 | ||||||||
\(502\) | 3.03632 | + | 12.6094i | 0.135517 | + | 0.562785i | ||||
\(503\) | − | 18.8114i | − | 0.838761i | −0.907811 | − | 0.419380i | \(-0.862247\pi\) | ||
0.907811 | − | 0.419380i | \(-0.137753\pi\) | |||||||
\(504\) | 10.8018 | + | 4.45806i | 0.481150 | + | 0.198578i | ||||
\(505\) | 16.6847 | − | 29.3810i | 0.742458 | − | 1.30744i | ||||
\(506\) | 19.3693 | − | 4.66410i | 0.861071 | − | 0.207344i | ||||
\(507\) | 25.2188i | 1.12001i | ||||||||
\(508\) | 9.43318 | − | 4.82262i | 0.418530 | − | 0.213969i | ||||
\(509\) | − | 28.0124i | − | 1.24163i | −0.783958 | − | 0.620814i | \(-0.786802\pi\) | ||
0.783958 | − | 0.620814i | \(-0.213198\pi\) | |||||||
\(510\) | −32.3280 | − | 9.30172i | −1.43151 | − | 0.411887i | ||||
\(511\) | −23.4921 | + | 11.9473i | −1.03923 | + | 0.528519i | ||||
\(512\) | 19.2203 | − | 11.9407i | 0.849426 | − | 0.527707i | ||||
\(513\) | 7.91096i | 0.349278i | ||||||||
\(514\) | −2.16901 | − | 9.00757i | −0.0956708 | − | 0.397307i | ||||
\(515\) | 6.04090 | − | 10.6378i | 0.266194 | − | 0.468756i | ||||
\(516\) | 2.57501 | + | 5.03680i | 0.113359 | + | 0.221733i | ||||
\(517\) | −22.7199 | −0.999220 | ||||||||
\(518\) | 15.6486 | − | 13.3630i | 0.687559 | − | 0.587135i | ||||
\(519\) | 23.6076i | 1.03626i | ||||||||
\(520\) | −1.32074 | − | 6.77828i | −0.0579181 | − | 0.297247i | ||||
\(521\) | 2.82843i | 0.123916i | 0.998079 | + | 0.0619578i | \(0.0197344\pi\) | ||||
−0.998079 | + | 0.0619578i | \(0.980266\pi\) | |||||||
\(522\) | −0.290319 | − | 1.20565i | −0.0127069 | − | 0.0527701i | ||||
\(523\) | 20.9472i | 0.915958i | 0.888963 | + | 0.457979i | \(0.151426\pi\) | ||||
−0.888963 | + | 0.457979i | \(0.848574\pi\) | |||||||
\(524\) | −4.58552 | + | 2.34430i | −0.200319 | + | 0.102411i | ||||
\(525\) | 15.0665 | − | 23.9013i | 0.657554 | − | 1.04314i | ||||
\(526\) | −7.80776 | − | 32.4245i | −0.340435 | − | 1.41378i | ||||
\(527\) | 32.8531 | 1.43110 | ||||||||
\(528\) | 11.6665 | − | 16.1498i | 0.507721 | − | 0.702830i | ||||
\(529\) | 13.4924 | 0.586627 | ||||||||
\(530\) | 26.0988 | + | 7.50940i | 1.13366 | + | 0.326187i | ||||
\(531\) | −22.3631 | −0.970476 | ||||||||
\(532\) | 8.00236 | − | 11.0282i | 0.346946 | − | 0.478133i | ||||
\(533\) | 9.26504i | 0.401313i | ||||||||
\(534\) | −2.00000 | − | 8.30571i | −0.0865485 | − | 0.359423i | ||||
\(535\) | 19.4711 | + | 11.0571i | 0.841808 | + | 0.478040i | ||||
\(536\) | 8.68466 | + | 10.1265i | 0.375120 | + | 0.437399i | ||||
\(537\) | 17.7392 | 0.765502 | ||||||||
\(538\) | 1.33126 | − | 0.320566i | 0.0573949 | − | 0.0138206i | ||||
\(539\) | 13.1921 | + | 9.61528i | 0.568222 | + | 0.414159i | ||||
\(540\) | −0.602449 | + | 13.7261i | −0.0259253 | + | 0.590678i | ||||
\(541\) | −19.4384 | −0.835724 | −0.417862 | − | 0.908510i | \(-0.637220\pi\) | ||||
−0.417862 | + | 0.908510i | \(0.637220\pi\) | |||||||
\(542\) | 2.18379 | + | 9.06897i | 0.0938019 | + | 0.389546i | ||||
\(543\) | −7.36520 | −0.316071 | ||||||||
\(544\) | −26.0671 | − | 10.6937i | −1.11762 | − | 0.458486i | ||||
\(545\) | 8.86958 | + | 5.03680i | 0.379931 | + | 0.215753i | ||||
\(546\) | 6.63555 | − | 5.66637i | 0.283975 | − | 0.242498i | ||||
\(547\) | −33.4337 | −1.42952 | −0.714762 | − | 0.699368i | \(-0.753465\pi\) | ||||
−0.714762 | + | 0.699368i | \(0.753465\pi\) | |||||||
\(548\) | −2.81164 | − | 5.49966i | −0.120107 | − | 0.234934i | ||||
\(549\) | − | 0.968253i | − | 0.0413240i | ||||||
\(550\) | −11.5286 | − | 11.7904i | −0.491582 | − | 0.502744i | ||||
\(551\) | −1.44600 | −0.0616019 | ||||||||
\(552\) | 27.7006 | − | 23.7565i | 1.17902 | − | 1.01114i | ||||
\(553\) | −12.7584 | − | 25.0870i | −0.542543 | − | 1.06681i | ||||
\(554\) | 26.9309 | − | 6.48490i | 1.14418 | − | 0.275517i | ||||
\(555\) | −22.8393 | − | 12.9698i | −0.969473 | − | 0.550538i | ||||
\(556\) | −7.16053 | + | 3.66075i | −0.303674 | + | 0.155250i | ||||
\(557\) | 8.58800i | 0.363885i | 0.983309 | + | 0.181943i | \(0.0582385\pi\) | ||||
−0.983309 | + | 0.181943i | \(0.941761\pi\) | |||||||
\(558\) | 3.41011 | + | 14.1617i | 0.144361 | + | 0.599512i | ||||
\(559\) | 1.44600 | 0.0611595 | ||||||||
\(560\) | 14.7245 | − | 18.5253i | 0.622225 | − | 0.782839i | ||||
\(561\) | −24.8078 | −1.04738 | ||||||||
\(562\) | 5.64617 | + | 23.4477i | 0.238169 | + | 0.989084i | ||||
\(563\) | 6.78554i | 0.285977i | 0.989724 | + | 0.142988i | \(0.0456711\pi\) | ||||
−0.989724 | + | 0.142988i | \(0.954329\pi\) | |||||||
\(564\) | −37.0540 | + | 18.9435i | −1.56025 | + | 0.797664i | ||||
\(565\) | 6.07263 | − | 10.6937i | 0.255478 | − | 0.449885i | ||||
\(566\) | −10.2555 | + | 2.46952i | −0.431073 | + | 0.103801i | ||||
\(567\) | −26.5219 | + | 13.4882i | −1.11381 | + | 0.566450i | ||||
\(568\) | 25.6509 | − | 21.9986i | 1.07629 | − | 0.923042i | ||||
\(569\) | −43.8617 | −1.83878 | −0.919390 | − | 0.393347i | \(-0.871317\pi\) | ||||
−0.919390 | + | 0.393347i | \(0.871317\pi\) | |||||||
\(570\) | −16.7134 | − | 4.80893i | −0.700045 | − | 0.201424i | ||||
\(571\) | 15.5889i | 0.652377i | 0.945305 | + | 0.326188i | \(0.105764\pi\) | ||||
−0.945305 | + | 0.326188i | \(0.894236\pi\) | |||||||
\(572\) | −2.31821 | − | 4.53448i | −0.0969292 | − | 0.189596i | ||||
\(573\) | −42.6429 | −1.78143 | ||||||||
\(574\) | −24.1438 | + | 20.6174i | −1.00774 | + | 0.860553i | ||||
\(575\) | −15.4741 | − | 25.9396i | −0.645313 | − | 1.08176i | ||||
\(576\) | 1.90388 | − | 12.3465i | 0.0793284 | − | 0.514437i | ||||
\(577\) | −36.0915 | −1.50251 | −0.751254 | − | 0.660013i | \(-0.770551\pi\) | ||||
−0.751254 | + | 0.660013i | \(0.770551\pi\) | |||||||
\(578\) | 2.58497 | + | 10.7350i | 0.107521 | + | 0.446517i | ||||
\(579\) | 11.7460 | 0.488149 | ||||||||
\(580\) | −2.50893 | − | 0.110119i | −0.104177 | − | 0.00457242i | ||||
\(581\) | 4.63068 | + | 9.10534i | 0.192113 | + | 0.377753i | ||||
\(582\) | 43.8780 | − | 10.5657i | 1.81880 | − | 0.437964i | ||||
\(583\) | 20.0276 | 0.829460 | ||||||||
\(584\) | 18.3421 | + | 21.3873i | 0.759001 | + | 0.885013i | ||||
\(585\) | −3.31534 | − | 1.88269i | −0.137073 | − | 0.0778398i | ||||
\(586\) | −4.78852 | − | 19.8860i | −0.197812 | − | 0.821485i | ||||
\(587\) | − | 2.80928i | − | 0.115951i | −0.998318 | − | 0.0579757i | \(-0.981535\pi\) | ||
0.998318 | − | 0.0579757i | \(-0.0184646\pi\) | |||||||
\(588\) | 29.5320 | + | 4.68228i | 1.21788 | + | 0.193094i | ||||
\(589\) | 16.9848 | 0.699848 | ||||||||
\(590\) | −12.5224 | + | 43.5215i | −0.515540 | + | 1.79175i | ||||
\(591\) | 35.2381 | 1.44950 | ||||||||
\(592\) | −17.8324 | − | 12.8820i | −0.732906 | − | 0.529447i | ||||
\(593\) | 6.20705 | 0.254893 | 0.127447 | − | 0.991845i | \(-0.459322\pi\) | ||||
0.127447 | + | 0.991845i | \(0.459322\pi\) | |||||||
\(594\) | 2.37201 | + | 9.85061i | 0.0973247 | + | 0.404176i | ||||
\(595\) | −29.4353 | − | 1.35448i | −1.20673 | − | 0.0555285i | ||||
\(596\) | 3.56155 | − | 1.82081i | 0.145887 | − | 0.0745832i | ||||
\(597\) | − | 39.1746i | − | 1.60331i | ||||||
\(598\) | −2.18379 | − | 9.06897i | −0.0893019 | − | 0.370858i | ||||
\(599\) | − | 17.9210i | − | 0.732232i | −0.930569 | − | 0.366116i | \(-0.880687\pi\) | ||
0.930569 | − | 0.366116i | \(-0.119313\pi\) | |||||||
\(600\) | −28.6327 | − | 9.61663i | −1.16892 | − | 0.392597i | ||||
\(601\) | − | 42.2309i | − | 1.72263i | −0.508068 | − | 0.861317i | \(-0.669640\pi\) | ||
0.508068 | − | 0.861317i | \(-0.330360\pi\) | |||||||
\(602\) | 3.21778 | + | 3.76815i | 0.131147 | + | 0.153578i | ||||
\(603\) | 7.36520 | 0.299934 | ||||||||
\(604\) | 4.50758 | + | 8.81695i | 0.183411 | + | 0.358757i | ||||
\(605\) | 10.8140 | + | 6.14098i | 0.439652 | + | 0.249666i | ||||
\(606\) | −10.6847 | − | 44.3718i | −0.434035 | − | 1.80248i | ||||
\(607\) | 44.9666i | 1.82514i | 0.408921 | + | 0.912570i | \(0.365905\pi\) | ||||
−0.408921 | + | 0.912570i | \(0.634095\pi\) | |||||||
\(608\) | −13.4765 | − | 5.52855i | −0.546546 | − | 0.224212i | ||||
\(609\) | −1.43845 | − | 2.82843i | −0.0582888 | − | 0.114614i | ||||
\(610\) | −1.88435 | − | 0.542182i | −0.0762949 | − | 0.0219523i | ||||
\(611\) | 10.6378i | 0.430358i | ||||||||
\(612\) | −13.8503 | + | 7.08084i | −0.559866 | + | 0.286226i | ||||
\(613\) | 47.7626i | 1.92911i | 0.263874 | + | 0.964557i | \(0.415000\pi\) | ||||
−0.263874 | + | 0.964557i | \(0.585000\pi\) | |||||||
\(614\) | −19.1096 | + | 4.60155i | −0.771200 | + | 0.185704i | ||||
\(615\) | 35.2381 | + | 20.0108i | 1.42094 | + | 0.806913i | ||||
\(616\) | 6.65774 | − | 16.1316i | 0.268248 | − | 0.649959i | ||||
\(617\) | − | 14.7647i | − | 0.594404i | −0.954815 | − | 0.297202i | \(-0.903946\pi\) | ||
0.954815 | − | 0.297202i | \(-0.0960535\pi\) | |||||||
\(618\) | −3.86852 | − | 16.0654i | −0.155615 | − | 0.646245i | ||||
\(619\) | −26.0671 | −1.04773 | −0.523863 | − | 0.851803i | \(-0.675510\pi\) | ||||
−0.523863 | + | 0.851803i | \(0.675510\pi\) | |||||||
\(620\) | 29.4700 | + | 1.29346i | 1.18354 | + | 0.0519465i | ||||
\(621\) | 18.5589i | 0.744742i | ||||||||
\(622\) | 0.478739 | + | 1.98813i | 0.0191957 | + | 0.0797168i | ||||
\(623\) | −3.39228 | − | 6.67026i | −0.135909 | − | 0.267238i | ||||
\(624\) | −7.56155 | − | 5.46242i | −0.302704 | − | 0.218672i | ||||
\(625\) | −11.8769 | + | 21.9986i | −0.475076 | + | 0.879945i | ||||
\(626\) | 2.37201 | + | 9.85061i | 0.0948046 | + | 0.393710i | ||||
\(627\) | −12.8255 | −0.512200 | ||||||||
\(628\) | −6.92516 | + | 3.54042i | −0.276344 | + | 0.141278i | ||||
\(629\) | 27.3924i | 1.09220i | ||||||||
\(630\) | −2.47148 | − | 12.8290i | −0.0984661 | − | 0.511119i | ||||
\(631\) | 33.9582i | 1.35186i | 0.736968 | + | 0.675928i | \(0.236257\pi\) | ||||
−0.736968 | + | 0.675928i | \(0.763743\pi\) | |||||||
\(632\) | −22.8393 | + | 19.5873i | −0.908498 | + | 0.779142i | ||||
\(633\) | 0.613157 | 0.0243708 | ||||||||
\(634\) | 33.5616 | − | 8.08156i | 1.33290 | − | 0.320960i | ||||
\(635\) | −10.3000 | − | 5.84912i | −0.408745 | − | 0.232115i | ||||
\(636\) | 32.6631 | − | 16.6987i | 1.29518 | − | 0.662147i | ||||
\(637\) | 4.50200 | − | 6.17669i | 0.178376 | − | 0.244730i | ||||
\(638\) | −1.80054 | + | 0.433567i | −0.0712842 | + | 0.0171651i | ||||
\(639\) | − | 18.6564i | − | 0.738035i | ||||||
\(640\) | −22.9618 | − | 10.6187i | −0.907643 | − | 0.419742i | ||||
\(641\) | 39.8617 | 1.57444 | 0.787222 | − | 0.616670i | \(-0.211519\pi\) | ||||
0.787222 | + | 0.616670i | \(0.211519\pi\) | |||||||
\(642\) | 29.4057 | − | 7.08084i | 1.16055 | − | 0.279458i | ||||
\(643\) | 36.8341i | 1.45260i | 0.687380 | + | 0.726298i | \(0.258761\pi\) | ||||
−0.687380 | + | 0.726298i | \(0.741239\pi\) | |||||||
\(644\) | 18.7733 | − | 25.8718i | 0.739771 | − | 1.01949i | ||||
\(645\) | 3.12311 | − | 5.49966i | 0.122972 | − | 0.216549i | ||||
\(646\) | 4.24621 | + | 17.6339i | 0.167065 | + | 0.693797i | ||||
\(647\) | − | 36.5712i | − | 1.43776i | −0.695134 | − | 0.718881i | \(-0.744655\pi\) | ||
0.695134 | − | 0.718881i | \(-0.255345\pi\) | |||||||
\(648\) | 20.7077 | + | 24.1456i | 0.813474 | + | 0.948530i | ||||
\(649\) | 33.3974i | 1.31096i | ||||||||
\(650\) | −5.52042 | + | 5.39785i | −0.216529 | + | 0.211721i | ||||
\(651\) | 16.8961 | + | 33.2228i | 0.662209 | + | 1.30211i | ||||
\(652\) | −20.4810 | + | 10.4707i | −0.802097 | + | 0.410064i | ||||
\(653\) | 16.4990i | 0.645654i | 0.946458 | + | 0.322827i | \(0.104633\pi\) | ||||
−0.946458 | + | 0.322827i | \(0.895367\pi\) | |||||||
\(654\) | 13.3951 | − | 3.22550i | 0.523788 | − | 0.126127i | ||||
\(655\) | 5.00691 | + | 2.84329i | 0.195636 | + | 0.111096i | ||||
\(656\) | 27.5131 | + | 19.8753i | 1.07421 | + | 0.776001i | ||||
\(657\) | 15.5554 | 0.606873 | ||||||||
\(658\) | −27.7210 | + | 23.6721i | −1.08068 | + | 0.922834i | ||||
\(659\) | 42.8381i | 1.66874i | 0.551207 | + | 0.834368i | \(0.314167\pi\) | ||||
−0.551207 | + | 0.834368i | \(0.685833\pi\) | |||||||
\(660\) | −22.2531 | − | 0.976705i | −0.866202 | − | 0.0380182i | ||||
\(661\) | 1.51198i | 0.0588092i | 0.999568 | + | 0.0294046i | \(0.00936112\pi\) | ||||
−0.999568 | + | 0.0294046i | \(0.990639\pi\) | |||||||
\(662\) | −11.4196 | + | 2.74983i | −0.443837 | + | 0.106875i | ||||
\(663\) | 11.6153i | 0.451102i | ||||||||
\(664\) | 8.28954 | − | 7.10923i | 0.321696 | − | 0.275892i | ||||
\(665\) | −15.2179 | − | 0.700260i | −0.590124 | − | 0.0271549i | ||||
\(666\) | −11.8078 | + | 2.84329i | −0.457542 | + | 0.110175i | ||||
\(667\) | −3.39228 | −0.131350 | ||||||||
\(668\) | 0.613157 | + | 1.19935i | 0.0237238 | + | 0.0464044i | ||||
\(669\) | 0.315342 | 0.0121918 | ||||||||
\(670\) | 4.12421 | − | 14.3336i | 0.159332 | − | 0.553756i | ||||
\(671\) | −1.44600 | −0.0558224 | ||||||||
\(672\) | −2.59209 | − | 31.8601i | −0.0999922 | − | 1.22903i | ||||
\(673\) | 14.0877i | 0.543039i | 0.962433 | + | 0.271520i | \(0.0875262\pi\) | ||||
−0.962433 | + | 0.271520i | \(0.912474\pi\) | |||||||
\(674\) | −42.0540 | + | 10.1265i | −1.61986 | + | 0.390059i | ||||
\(675\) | 13.1921 | − | 7.86962i | 0.507762 | − | 0.302902i | ||||
\(676\) | 21.0270 | − | 10.7498i | 0.808730 | − | 0.413455i | ||||
\(677\) | −46.5317 | −1.78836 | −0.894179 | − | 0.447709i | \(-0.852240\pi\) | ||||
−0.894179 | + | 0.447709i | \(0.852240\pi\) | |||||||
\(678\) | −3.88884 | − | 16.1498i | −0.149350 | − | 0.620230i | ||||
\(679\) | 35.2381 | − | 17.9210i | 1.35232 | − | 0.687745i | ||||
\(680\) | 6.02460 | + | 30.9195i | 0.231033 | + | 1.18571i | ||||
\(681\) | 21.6847 | 0.830958 | ||||||||
\(682\) | 21.1493 | − | 5.09271i | 0.809847 | − | 0.195010i | ||||
\(683\) | 20.1907 | 0.772574 | 0.386287 | − | 0.922379i | \(-0.373757\pi\) | ||||
0.386287 | + | 0.922379i | \(0.373757\pi\) | |||||||
\(684\) | −7.16053 | + | 3.66075i | −0.273790 | + | 0.139972i | ||||
\(685\) | −3.41011 | + | 6.00505i | −0.130293 | + | 0.229441i | ||||
\(686\) | 26.1141 | − | 2.01315i | 0.997042 | − | 0.0768625i | ||||
\(687\) | 20.1907 | 0.770322 | ||||||||
\(688\) | 3.10196 | − | 4.29400i | 0.118261 | − | 0.163707i | ||||
\(689\) | − | 9.37720i | − | 0.357243i | ||||||
\(690\) | −39.2090 | − | 11.2816i | −1.49266 | − | 0.429483i | ||||
\(691\) | −37.8132 | −1.43848 | −0.719240 | − | 0.694761i | \(-0.755510\pi\) | ||||
−0.719240 | + | 0.694761i | \(0.755510\pi\) | |||||||
\(692\) | 19.6836 | − | 10.0630i | 0.748258 | − | 0.382539i | ||||
\(693\) | −4.36758 | − | 8.58800i | −0.165911 | − | 0.326231i | ||||
\(694\) | 0.438447 | + | 1.82081i | 0.0166432 | + | 0.0691169i | ||||
\(695\) | 7.81855 | + | 4.43994i | 0.296575 | + | 0.168417i | ||||
\(696\) | −2.57501 | + | 2.20837i | −0.0976056 | + | 0.0837080i | ||||
\(697\) | − | 42.2630i | − | 1.60082i | ||||||
\(698\) | 25.8906 | − | 6.23442i | 0.979975 | − | 0.235976i | ||||
\(699\) | 23.4921 | 0.888553 | ||||||||
\(700\) | −26.3508 | − | 2.37390i | −0.995967 | − | 0.0897250i | ||||
\(701\) | −30.6695 | −1.15837 | −0.579186 | − | 0.815196i | \(-0.696629\pi\) | ||||
−0.579186 | + | 0.815196i | \(0.696629\pi\) | |||||||
\(702\) | 4.61219 | − | 1.11061i | 0.174076 | − | 0.0419171i | ||||
\(703\) | 14.1617i | 0.534118i | ||||||||
\(704\) | −18.4384 | − | 2.84329i | −0.694925 | − | 0.107160i | ||||
\(705\) | 40.4591 | + | 22.9756i | 1.52378 | + | 0.865312i | ||||
\(706\) | −5.35302 | − | 22.2303i | −0.201464 | − | 0.836650i | ||||
\(707\) | −18.1227 | − | 35.6347i | −0.681574 | − | 1.34018i | ||||
\(708\) | 27.8462 | + | 54.4679i | 1.04652 | + | 2.04703i | ||||
\(709\) | 30.8078 | 1.15701 | 0.578505 | − | 0.815679i | \(-0.303636\pi\) | ||||
0.578505 | + | 0.815679i | \(0.303636\pi\) | |||||||
\(710\) | −36.3077 | − | 10.4468i | −1.36260 | − | 0.392062i | ||||
\(711\) | 16.6114i | 0.622977i | ||||||||
\(712\) | −6.07263 | + | 5.20798i | −0.227582 | + | 0.195177i | ||||
\(713\) | 39.8459 | 1.49224 | ||||||||
\(714\) | −30.2684 | + | 25.8474i | −1.13277 | + | 0.967316i | ||||
\(715\) | −2.81164 | + | 4.95118i | −0.105150 | + | 0.185164i | ||||
\(716\) | −7.56155 | − | 14.7906i | −0.282588 | − | 0.552751i | ||||
\(717\) | 4.98074 | 0.186009 | ||||||||
\(718\) | −14.2313 | + | 3.42687i | −0.531107 | + | 0.127890i | ||||
\(719\) | 27.1961 | 1.01424 | 0.507122 | − | 0.861874i | \(-0.330709\pi\) | ||||
0.507122 | + | 0.861874i | \(0.330709\pi\) | |||||||
\(720\) | −12.7028 | + | 5.80637i | −0.473406 | + | 0.216391i | ||||
\(721\) | −6.56155 | − | 12.9020i | −0.244365 | − | 0.480496i | ||||
\(722\) | −4.09519 | − | 17.0067i | −0.152407 | − | 0.632926i | ||||
\(723\) | 34.3404 | 1.27713 | ||||||||
\(724\) | 3.13951 | + | 6.14098i | 0.116679 | + | 0.228228i | ||||
\(725\) | 1.43845 | + | 2.41131i | 0.0534226 | + | 0.0895537i | ||||
\(726\) | 16.3316 | − | 3.93261i | 0.606121 | − | 0.145953i | ||||
\(727\) | − | 32.8255i | − | 1.21743i | −0.793389 | − | 0.608715i | \(-0.791685\pi\) | ||
0.793389 | − | 0.608715i | \(-0.208315\pi\) | |||||||
\(728\) | −7.55301 | − | 3.11724i | −0.279933 | − | 0.115533i | ||||
\(729\) | −2.12311 | −0.0786335 | ||||||||
\(730\) | 8.71038 | − | 30.2728i | 0.322385 | − | 1.12045i | ||||
\(731\) | −6.59603 | −0.243963 | ||||||||
\(732\) | −2.35829 | + | 1.20565i | −0.0871651 | + | 0.0445623i | ||||
\(733\) | 24.4250 | 0.902156 | 0.451078 | − | 0.892484i | \(-0.351040\pi\) | ||||
0.451078 | + | 0.892484i | \(0.351040\pi\) | |||||||
\(734\) | 32.1431 | − | 7.74001i | 1.18642 | − | 0.285689i | ||||
\(735\) | −13.7686 | − | 30.4632i | −0.507863 | − | 1.12365i | ||||
\(736\) | −31.6155 | − | 12.9698i | −1.16536 | − | 0.478073i | ||||
\(737\) | − | 10.9993i | − | 0.405165i | ||||||
\(738\) | 18.2179 | − | 4.38684i | 0.670610 | − | 0.161482i | ||||
\(739\) | − | 49.5472i | − | 1.82262i | −0.411718 | − | 0.911311i | \(-0.635071\pi\) | ||
0.411718 | − | 0.911311i | \(-0.364929\pi\) | |||||||
\(740\) | −1.07846 | + | 24.5716i | −0.0396451 | + | 0.903268i | ||||
\(741\) | 6.00505i | 0.220601i | ||||||||
\(742\) | 24.4361 | − | 20.8670i | 0.897077 | − | 0.766051i | ||||
\(743\) | −9.43318 | −0.346070 | −0.173035 | − | 0.984916i | \(-0.555357\pi\) | ||||
−0.173035 | + | 0.984916i | \(0.555357\pi\) | |||||||
\(744\) | 30.2462 | − | 25.9396i | 1.10888 | − | 0.950992i | ||||
\(745\) | −3.88884 | − | 2.20837i | −0.142476 | − | 0.0809084i | ||||
\(746\) | 16.0540 | − | 3.86577i | 0.587778 | − | 0.141536i | ||||
\(747\) | − | 6.02913i | − | 0.220594i | ||||||
\(748\) | 10.5746 | + | 20.6843i | 0.386647 | + | 0.756293i | ||||
\(749\) | 23.6155 | − | 12.0101i | 0.862893 | − | 0.438839i | ||||
\(750\) | 8.60679 | + | 32.6544i | 0.314276 | + | 1.19237i | ||||
\(751\) | 37.5999i | 1.37204i | 0.727584 | + | 0.686019i | \(0.240643\pi\) | ||||
−0.727584 | + | 0.686019i | \(0.759357\pi\) | |||||||
\(752\) | 31.5895 | + | 22.8201i | 1.15195 | + | 0.832162i | ||||
\(753\) | − | 19.5873i | − | 0.713801i | ||||||
\(754\) | 0.203002 | + | 0.843038i | 0.00739290 | + | 0.0307016i | ||||
\(755\) | 5.46702 | − | 9.62719i | 0.198965 | − | 0.350369i | ||||
\(756\) | 13.1576 | + | 9.54749i | 0.478537 | + | 0.347239i | ||||
\(757\) | 25.7640i | 0.936409i | 0.883620 | + | 0.468204i | \(0.155099\pi\) | ||||
−0.883620 | + | 0.468204i | \(0.844901\pi\) | |||||||
\(758\) | 34.2589 | − | 8.24948i | 1.24434 | − | 0.299635i | ||||
\(759\) | −30.0881 | −1.09213 | ||||||||
\(760\) | 3.11468 | + | 15.9852i | 0.112981 | + | 0.579844i | ||||
\(761\) | − | 43.1228i | − | 1.56320i | −0.623780 | − | 0.781600i | \(-0.714404\pi\) | ||
0.623780 | − | 0.781600i | \(-0.285596\pi\) | |||||||
\(762\) | −15.5554 | + | 3.74571i | −0.563512 | + | 0.135693i | ||||
\(763\) | 10.7575 | − | 5.47091i | 0.389447 | − | 0.198060i | ||||
\(764\) | 18.1771 | + | 35.5549i | 0.657624 | + | 1.28633i | ||||
\(765\) | 15.1231 | + | 8.58800i | 0.546777 | + | 0.310500i | ||||
\(766\) | 25.6611 | − | 6.17915i | 0.927173 | − | 0.223262i | ||||
\(767\) | 15.6371 | 0.564623 | ||||||||
\(768\) | −32.4420 | + | 10.7365i | −1.17065 | + | 0.387421i | ||||
\(769\) | − | 14.4903i | − | 0.522535i | −0.965266 | − | 0.261267i | \(-0.915860\pi\) | ||
0.965266 | − | 0.261267i | \(-0.0841404\pi\) | |||||||
\(770\) | −19.1590 | + | 3.69095i | −0.690443 | + | 0.133012i | ||||
\(771\) | 13.9923i | 0.503920i | ||||||||
\(772\) | −5.00691 | − | 9.79366i | −0.180203 | − | 0.352481i | ||||
\(773\) | 15.6898 | 0.564323 | 0.282161 | − | 0.959367i | \(-0.408949\pi\) | ||||
0.282161 | + | 0.959367i | \(0.408949\pi\) | |||||||
\(774\) | −0.684658 | − | 2.84329i | −0.0246095 | − | 0.102200i | ||||
\(775\) | −16.8961 | − | 28.3234i | −0.606925 | − | 1.01740i | ||||
\(776\) | −27.5131 | − | 32.0810i | −0.987663 | − | 1.15164i | ||||
\(777\) | −27.7006 | + | 14.0877i | −0.993755 | + | 0.505392i | ||||
\(778\) | −3.95003 | − | 16.4039i | −0.141616 | − | 0.588109i | ||||
\(779\) | − | 21.8497i | − | 0.782847i | ||||||
\(780\) | −0.457306 | + | 10.4192i | −0.0163742 | + | 0.373067i | ||||
\(781\) | −27.8617 | −0.996971 | ||||||||
\(782\) | 9.96148 | + | 41.3686i | 0.356222 | + | 1.47934i | ||||
\(783\) | − | 1.72521i | − | 0.0616538i | ||||||
\(784\) | −8.68441 | − | 26.6192i | −0.310157 | − | 0.950685i | ||||
\(785\) | 7.56155 | + | 4.29400i | 0.269883 | + | 0.153259i | ||||
\(786\) | 7.56155 | − | 1.82081i | 0.269712 | − | 0.0649461i | ||||
\(787\) | 32.8578i | 1.17126i | 0.810580 | + | 0.585628i | \(0.199152\pi\) | ||||
−0.810580 | + | 0.585628i | \(0.800848\pi\) | |||||||
\(788\) | −15.0207 | − | 29.3810i | −0.535091 | − | 1.04665i | ||||
\(789\) | 50.3680i | 1.79315i | ||||||||
\(790\) | 32.3280 | + | 9.30172i | 1.15018 | + | 0.330940i | ||||
\(791\) | −6.59603 | − | 12.9698i | −0.234528 | − | 0.461153i | ||||
\(792\) | −7.81855 | + | 6.70531i | −0.277820 | + | 0.238263i | ||||
\(793\) | 0.677039i | 0.0240423i | ||||||||
\(794\) | 6.95753 | + | 28.8936i | 0.246913 | + | 1.02540i | ||||
\(795\) | −35.6647 | − | 20.2530i | −1.26490 | − | 0.718301i | ||||
\(796\) | −32.6631 | + | 16.6987i | −1.15771 | + | 0.591870i | ||||
\(797\) | 2.04937 | 0.0725925 | 0.0362963 | − | 0.999341i | \(-0.488444\pi\) | ||||
0.0362963 | + | 0.999341i | \(0.488444\pi\) | |||||||
\(798\) | −15.6486 | + | 13.3630i | −0.553954 | + | 0.473044i | ||||
\(799\) | − | 48.5247i | − | 1.71668i | ||||||
\(800\) | 4.18687 | + | 27.9727i | 0.148028 | + | 0.988983i | ||||
\(801\) | 4.41674i | 0.156058i | ||||||||
\(802\) | 4.44916 | + | 18.4767i | 0.157105 | + | 0.652435i | ||||
\(803\) | − | 23.2306i | − | 0.819792i | ||||||
\(804\) | −9.17104 | − | 17.9388i | −0.323438 | − | 0.632653i | ||||
\(805\) | −35.7006 | − | 1.64279i | −1.25828 | − | 0.0579007i | ||||
\(806\) | −2.38447 | − | 9.90237i | −0.0839894 | − | 0.348796i | ||||
\(807\) | −2.06798 | −0.0727962 | ||||||||
\(808\) | −32.4420 | + | 27.8228i | −1.14131 | + | 0.978802i | ||||
\(809\) | −27.0540 | −0.951167 | −0.475584 | − | 0.879671i | \(-0.657763\pi\) | ||||
−0.475584 | + | 0.879671i | \(0.657763\pi\) | |||||||
\(810\) | 9.83375 | − | 34.1770i | 0.345523 | − | 1.20086i | ||||
\(811\) | −9.17104 | −0.322039 | −0.161019 | − | 0.986951i | \(-0.551478\pi\) | ||||
−0.161019 | + | 0.986951i | \(0.551478\pi\) | |||||||
\(812\) | −1.74514 | + | 2.40501i | −0.0612423 | + | 0.0843992i | ||||
\(813\) | − | 14.0877i | − | 0.494076i | ||||||
\(814\) | 4.24621 | + | 17.6339i | 0.148830 | + | 0.618068i | ||||
\(815\) | 22.3631 | + | 12.6994i | 0.783345 | + | 0.444840i | ||||
\(816\) | 34.4924 | + | 24.9171i | 1.20748 | + | 0.872274i | ||||
\(817\) | −3.41011 | −0.119304 | ||||||||
\(818\) | −41.5510 | + | 10.0054i | −1.45280 | + | 0.349830i | ||||
\(819\) | −4.02102 | + | 2.04496i | −0.140506 | + | 0.0714567i | ||||
\(820\) | 1.66393 | − | 37.9108i | 0.0581071 | − | 1.32390i | ||||
\(821\) | −35.9309 | −1.25400 | −0.626998 | − | 0.779021i | \(-0.715717\pi\) | ||||
−0.626998 | + | 0.779021i | \(0.715717\pi\) | |||||||
\(822\) | 2.18379 | + | 9.06897i | 0.0761685 | + | 0.316317i | ||||
\(823\) | −22.8393 | −0.796127 | −0.398064 | − | 0.917358i | \(-0.630318\pi\) | ||||
−0.398064 | + | 0.917358i | \(0.630318\pi\) | |||||||
\(824\) | −11.7460 | + | 10.0736i | −0.409193 | + | 0.350930i | ||||
\(825\) | 12.7584 | + | 21.3873i | 0.444191 | + | 0.744610i | ||||
\(826\) | 34.7971 | + | 40.7488i | 1.21075 | + | 1.41783i | ||||
\(827\) | −4.71659 | −0.164012 | −0.0820059 | − | 0.996632i | \(-0.526133\pi\) | ||||
−0.0820059 | + | 0.996632i | \(0.526133\pi\) | |||||||
\(828\) | −16.7984 | + | 8.58800i | −0.583784 | + | 0.298454i | ||||
\(829\) | − | 43.3947i | − | 1.50716i | −0.657357 | − | 0.753579i | \(-0.728326\pi\) | ||
0.657357 | − | 0.753579i | \(-0.271674\pi\) | |||||||
\(830\) | −11.7335 | − | 3.37607i | −0.407275 | − | 0.117185i | ||||
\(831\) | −41.8342 | −1.45121 | ||||||||
\(832\) | −1.33126 | + | 8.63312i | −0.0461533 | + | 0.299300i | ||||
\(833\) | −20.5361 | + | 28.1753i | −0.711534 | + | 0.976217i | ||||
\(834\) | 11.8078 | − | 2.84329i | 0.408869 | − | 0.0984550i | ||||
\(835\) | 0.743668 | − | 1.30957i | 0.0257357 | − | 0.0453195i | ||||
\(836\) | 5.46702 | + | 10.6937i | 0.189081 | + | 0.369848i | ||||
\(837\) | 20.2644i | 0.700438i | ||||||||
\(838\) | −7.40390 | − | 30.7473i | −0.255763 | − | 1.06215i | ||||
\(839\) | −32.3461 | −1.11671 | −0.558356 | − | 0.829601i | \(-0.688568\pi\) | ||||
−0.558356 | + | 0.829601i | \(0.688568\pi\) | |||||||
\(840\) | −28.1691 | + | 21.9940i | −0.971925 | + | 0.758867i | ||||
\(841\) | −28.6847 | −0.989126 | ||||||||
\(842\) | 4.15884 | + | 17.2711i | 0.143323 | + | 0.595200i | ||||
\(843\) | − | 36.4235i | − | 1.25449i | ||||||
\(844\) | −0.261366 | − | 0.511240i | −0.00899660 | − | 0.0175976i | ||||
\(845\) | −22.9593 | − | 13.0380i | −0.789823 | − | 0.448519i | ||||
\(846\) | 20.9171 | − | 5.03680i | 0.719144 | − | 0.173169i | ||||
\(847\) | 13.1158 | − | 6.67026i | 0.450664 | − | 0.229193i | ||||
\(848\) | −27.8462 | − | 20.1159i | −0.956242 | − | 0.690784i | ||||
\(849\) | 15.9309 | 0.546746 | ||||||||
\(850\) | 25.1817 | − | 24.6226i | 0.863724 | − | 0.844547i | ||||
\(851\) | 33.2228i | 1.13886i | ||||||||
\(852\) | −45.4398 | + | 23.2306i | −1.55674 | + | 0.795869i | ||||
\(853\) | −2.93137 | −0.100368 | −0.0501840 | − | 0.998740i | \(-0.515981\pi\) | ||||
−0.0501840 | + | 0.998740i | \(0.515981\pi\) | |||||||
\(854\) | −1.76430 | + | 1.50661i | −0.0603730 | + | 0.0515550i | ||||
\(855\) | 7.81855 | + | 4.43994i | 0.267389 | + | 0.151843i | ||||
\(856\) | −18.4384 | − | 21.4997i | −0.630213 | − | 0.734844i | ||||
\(857\) | 5.59390 | 0.191084 | 0.0955419 | − | 0.995425i | \(-0.469542\pi\) | ||||
0.0955419 | + | 0.995425i | \(0.469542\pi\) | |||||||
\(858\) | 1.80054 | + | 7.47740i | 0.0614695 | + | 0.255274i | ||||
\(859\) | 9.17104 | 0.312912 | 0.156456 | − | 0.987685i | \(-0.449993\pi\) | ||||
0.156456 | + | 0.987685i | \(0.449993\pi\) | |||||||
\(860\) | −5.91678 | − | 0.259692i | −0.201761 | − | 0.00885542i | ||||
\(861\) | 42.7386 | − | 21.7355i | 1.45653 | − | 0.740744i | ||||
\(862\) | −16.0318 | + | 3.86043i | −0.546046 | + | 0.131487i | ||||
\(863\) | −30.7851 | −1.04794 | −0.523969 | − | 0.851737i | \(-0.675549\pi\) | ||||
−0.523969 | + | 0.851737i | \(0.675549\pi\) | |||||||
\(864\) | 6.59603 | − | 16.0786i | 0.224401 | − | 0.547007i | ||||
\(865\) | −21.4924 | − | 12.2050i | −0.730764 | − | 0.414981i | ||||
\(866\) | 2.98102 | + | 12.3797i | 0.101299 | + | 0.420680i | ||||
\(867\) | − | 16.6757i | − | 0.566335i | ||||||
\(868\) | 20.4985 | − | 28.2493i | 0.695763 | − | 0.958845i | ||||
\(869\) | 24.8078 | 0.841546 | ||||||||
\(870\) | 3.64481 | + | 1.04872i | 0.123571 | + | 0.0355550i | ||||
\(871\) | −5.15002 | −0.174502 | ||||||||
\(872\) | −8.39919 | − | 9.79366i | −0.284432 | − | 0.331655i | ||||
\(873\) | −23.3331 | −0.789705 | ||||||||
\(874\) | 5.15002 | + | 21.3873i | 0.174202 | + | 0.723436i | ||||
\(875\) | 13.9706 | + | 26.0734i | 0.472293 | + | 0.881442i | ||||
\(876\) | −19.3693 | − | 37.8869i | −0.654429 | − | 1.28008i | ||||
\(877\) | 5.49966i | 0.185710i | 0.995680 | + | 0.0928551i | \(0.0295993\pi\) | ||||
−0.995680 | + | 0.0928551i | \(0.970401\pi\) | |||||||
\(878\) | 10.4402 | + | 43.3567i | 0.352340 | + | 1.46322i | ||||
\(879\) | 30.8908i | 1.04192i | ||||||||
\(880\) | 8.67132 | + | 18.9706i | 0.292310 | + | 0.639499i | ||||
\(881\) | 30.7645i | 1.03648i | 0.855234 | + | 0.518241i | \(0.173413\pi\) | ||||
−0.855234 | + | 0.518241i | \(0.826587\pi\) | |||||||
\(882\) | −14.2769 | − | 5.92775i | −0.480728 | − | 0.199598i | ||||
\(883\) | 48.4902 | 1.63183 | 0.815913 | − | 0.578175i | \(-0.196235\pi\) | ||||
0.815913 | + | 0.578175i | \(0.196235\pi\) | |||||||
\(884\) | 9.68466 | − | 4.95118i | 0.325730 | − | 0.166526i | ||||
\(885\) | 33.7733 | − | 59.4733i | 1.13528 | − | 1.99917i | ||||
\(886\) | 5.80776 | + | 24.1188i | 0.195116 | + | 0.810287i | ||||
\(887\) | 31.7738i | 1.06686i | 0.845845 | + | 0.533429i | \(0.179097\pi\) | ||||
−0.845845 | + | 0.533429i | \(0.820903\pi\) | |||||||
\(888\) | 21.6280 | + | 25.2188i | 0.725788 | + | 0.846287i | ||||
\(889\) | −12.4924 | + | 6.35324i | −0.418982 | + | 0.213081i | ||||
\(890\) | 8.59554 | + | 2.47319i | 0.288123 | + | 0.0829016i | ||||
\(891\) | − | 26.2267i | − | 0.878628i | ||||||
\(892\) | −0.134418 | − | 0.262926i | −0.00450066 | − | 0.00880343i | ||||
\(893\) | − | 25.0870i | − | 0.839503i | ||||||
\(894\) | −5.87302 | + | 1.41421i | −0.196423 | + | 0.0472984i | ||||
\(895\) | −9.17104 | + | 16.1498i | −0.306554 | + | 0.539829i | ||||
\(896\) | −25.4595 | + | 15.7420i | −0.850543 | + | 0.525905i | ||||
\(897\) | 14.0877i | 0.470373i | ||||||||
\(898\) | 2.09086 | + | 8.68305i | 0.0697730 | + | 0.289757i | ||||
\(899\) | −3.70402 | −0.123536 | ||||||||
\(900\) | 13.2276 | + | 8.29904i | 0.440922 | + | 0.276635i | ||||
\(901\) | 42.7746i | 1.42503i | ||||||||
\(902\) | −6.55137 | − | 27.2069i | −0.218137 | − | 0.905891i | ||||
\(903\) | −3.39228 | − | 6.67026i | −0.112888 | − | 0.221972i | ||||
\(904\) | −11.8078 | + | 10.1265i | −0.392720 | + | 0.336803i | ||||
\(905\) | 3.80776 | − | 6.70531i | 0.126574 | − | 0.222892i | ||||
\(906\) | −3.50102 | − | 14.5392i | −0.116313 | − | 0.483033i | ||||
\(907\) | 53.7874 | 1.78598 | 0.892991 | − | 0.450074i | \(-0.148603\pi\) | ||||
0.892991 | + | 0.450074i | \(0.148603\pi\) | |||||||
\(908\) | −9.24337 | − | 18.0803i | −0.306752 | − | 0.600016i | ||||
\(909\) | 23.5957i | 0.782619i | ||||||||
\(910\) | 1.72815 | + | 8.97051i | 0.0572876 | + | 0.297369i | ||||
\(911\) | − | 56.0950i | − | 1.85851i | −0.369438 | − | 0.929255i | \(-0.620450\pi\) | ||
0.369438 | − | 0.929255i | \(-0.379550\pi\) | |||||||
\(912\) | 17.8324 | + | 12.8820i | 0.590489 | + | 0.426566i | ||||
\(913\) | −9.00400 | −0.297989 | ||||||||
\(914\) | 14.1922 | − | 3.41746i | 0.469437 | − | 0.113040i | ||||
\(915\) | 2.57501 | + | 1.46228i | 0.0851272 | + | 0.0483415i | ||||
\(916\) | −8.60654 | − | 16.8346i | −0.284368 | − | 0.556232i | ||||
\(917\) | 6.07263 | − | 3.08835i | 0.200536 | − | 0.101986i | ||||
\(918\) | −21.0387 | + | 5.06609i | −0.694382 | + | 0.167206i | ||||
\(919\) | 39.1965i | 1.29297i | 0.762925 | + | 0.646487i | \(0.223762\pi\) | ||||
−0.762925 | + | 0.646487i | \(0.776238\pi\) | |||||||
\(920\) | 7.30695 | + | 37.5007i | 0.240903 | + | 1.23636i | ||||
\(921\) | 29.6847 | 0.978143 | ||||||||
\(922\) | −29.0319 | + | 6.99083i | −0.956115 | + | 0.230231i | ||||
\(923\) | 13.0452i | 0.429389i | ||||||||
\(924\) | −15.4786 | + | 21.3314i | −0.509210 | + | 0.701752i | ||||
\(925\) | 23.6155 | − | 14.0877i | 0.776474 | − | 0.463199i | ||||
\(926\) | −8.05398 | − | 33.4470i | −0.264670 | − | 1.09914i | ||||
\(927\) | 8.54312i | 0.280593i | ||||||||
\(928\) | 2.93893 | + | 1.20565i | 0.0964752 | + | 0.0395775i | ||||
\(929\) | − | 28.9807i | − | 0.950825i | −0.879763 | − | 0.475412i | \(-0.842299\pi\) | ||
0.879763 | − | 0.475412i | \(-0.157701\pi\) | |||||||
\(930\) | −42.8121 | − | 12.3183i | −1.40387 | − | 0.403934i | ||||
\(931\) | −10.6170 | + | 14.5665i | −0.347960 | + | 0.477397i | ||||
\(932\) | −10.0138 | − | 19.5873i | −0.328013 | − | 0.641604i | ||||
\(933\) | − | 3.08835i | − | 0.101108i | ||||||
\(934\) | 31.8956 | − | 7.68041i | 1.04366 | − | 0.251311i | ||||
\(935\) | 12.8255 | − | 22.5851i | 0.419437 | − | 0.738611i | ||||
\(936\) | 3.13951 | + | 3.66075i | 0.102618 | + | 0.119655i | ||||
\(937\) | 49.4631 | 1.61589 | 0.807944 | − | 0.589259i | \(-0.200580\pi\) | ||||
0.807944 | + | 0.589259i | \(0.200580\pi\) | |||||||
\(938\) | −11.4603 | − | 13.4205i | −0.374192 | − | 0.438194i | ||||
\(939\) | − | 15.3019i | − | 0.499357i | ||||||
\(940\) | 1.91046 | − | 43.5277i | 0.0623125 | − | 1.41972i | ||||
\(941\) | − | 8.75714i | − | 0.285475i | −0.989761 | − | 0.142737i | \(-0.954410\pi\) | ||
0.989761 | − | 0.142737i | \(-0.0455904\pi\) | |||||||
\(942\) | 11.4196 | − | 2.74983i | 0.372072 | − | 0.0895942i | ||||
\(943\) | − | 51.2587i | − | 1.66921i | ||||||
\(944\) | 33.5446 | − | 46.4354i | 1.09179 | − | 1.51134i | ||||
\(945\) | 0.835470 | − | 18.1562i | 0.0271778 | − | 0.590621i | ||||
\(946\) | −4.24621 | + | 1.02248i | −0.138056 | + | 0.0332437i | ||||
\(947\) | −52.6261 | −1.71012 | −0.855060 | − | 0.518529i | \(-0.826480\pi\) | ||||
−0.855060 | + | 0.518529i | \(0.826480\pi\) | |||||||
\(948\) | 40.4591 | − | 20.6843i | 1.31405 | − | 0.671795i | ||||
\(949\) | −10.8769 | −0.353079 | ||||||||
\(950\) | 13.0188 | − | 12.7297i | 0.422385 | − | 0.413007i | ||||
\(951\) | −52.1342 | −1.69057 | ||||||||
\(952\) | 34.4535 | + | 14.2195i | 1.11664 | + | 0.460856i | ||||
\(953\) | − | 31.2637i | − | 1.01273i | −0.862319 | − | 0.506365i | \(-0.830989\pi\) | ||
0.862319 | − | 0.506365i | \(-0.169011\pi\) | |||||||
\(954\) | −18.4384 | + | 4.43994i | −0.596967 | + | 0.143748i | ||||
\(955\) | 22.0461 | − | 38.8222i | 0.713395 | − | 1.25626i | ||||
\(956\) | −2.12311 | − | 4.15286i | −0.0686661 | − | 0.134313i | ||||
\(957\) | 2.79695 | 0.0904125 | ||||||||
\(958\) | −9.96148 | − | 41.3686i | −0.321841 | − | 1.33656i | ||||
\(959\) | 3.70402 | + | 7.28323i | 0.119609 | + | 0.235188i | ||||
\(960\) | 29.9595 | + | 23.7092i | 0.966938 | + | 0.765212i | ||||
\(961\) | 12.5076 | 0.403470 | ||||||||
\(962\) | 8.25643 | − | 1.98813i | 0.266198 | − | 0.0641000i | ||||
\(963\) | −15.6371 | −0.503899 | ||||||||
\(964\) | −14.6381 | − | 28.6325i | −0.471460 | − | 0.922190i | ||||
\(965\) | −6.07263 | + | 10.6937i | −0.195485 | + | 0.344241i | ||||
\(966\) | −36.7111 | + | 31.3491i | −1.18116 | + | 1.00864i | ||||
\(967\) | −16.2177 | −0.521527 | −0.260764 | − | 0.965403i | \(-0.583974\pi\) | ||||
−0.260764 | + | 0.965403i | \(0.583974\pi\) | |||||||
\(968\) | −10.2405 | − | 11.9407i | −0.329142 | − | 0.383787i | ||||
\(969\) | − | 27.3924i | − | 0.879969i | ||||||
\(970\) | −13.0656 | + | 45.4091i | −0.419510 | + | 1.45800i | ||||
\(971\) | 36.3672 | 1.16708 | 0.583539 | − | 0.812085i | \(-0.301668\pi\) | ||||
0.583539 | + | 0.812085i | \(0.301668\pi\) | |||||||
\(972\) | −13.4765 | − | 26.3605i | −0.432260 | − | 0.845513i | ||||
\(973\) | 9.48274 | − | 4.82262i | 0.304003 | − | 0.154606i | ||||
\(974\) | 0.384472 | + | 1.59666i | 0.0123193 | + | 0.0511602i | ||||
\(975\) | 10.0138 | − | 5.97366i | 0.320699 | − | 0.191310i | ||||
\(976\) | 2.01051 | + | 1.45238i | 0.0643548 | + | 0.0464895i | ||||
\(977\) | 14.0877i | 0.450704i | 0.974277 | + | 0.225352i | \(0.0723532\pi\) | ||||
−0.974277 | + | 0.225352i | \(0.927647\pi\) | |||||||
\(978\) | 33.7733 | − | 8.13254i | 1.07995 | − | 0.260050i | ||||
\(979\) | 6.59603 | 0.210810 | ||||||||
\(980\) | −19.5306 | + | 24.4654i | −0.623884 | + | 0.781517i | ||||
\(981\) | −7.12311 | −0.227423 | ||||||||
\(982\) | 19.6329 | − | 4.72757i | 0.626511 | − | 0.150863i | ||||
\(983\) | 44.7361i | 1.42686i | 0.700727 | + | 0.713430i | \(0.252859\pi\) | ||||
−0.700727 | + | 0.713430i | \(0.747141\pi\) | |||||||
\(984\) | −33.3693 | − | 38.9094i | −1.06377 | − | 1.24039i | ||||
\(985\) | −18.2179 | + | 32.0810i | −0.580471 | + | 1.02218i | ||||
\(986\) | −0.926004 | − | 3.84556i | −0.0294900 | − | 0.122468i | ||||
\(987\) | 49.0708 | − | 24.9559i | 1.56194 | − | 0.794353i | ||||
\(988\) | 5.00691 | − | 2.55973i | 0.159291 | − | 0.0814359i | ||||
\(989\) | −8.00000 | −0.254385 | ||||||||
\(990\) | 11.0668 | + | 3.18425i | 0.351726 | + | 0.101202i | ||||
\(991\) | 0.574176i | 0.0182393i | 0.999958 | + | 0.00911966i | \(0.00290292\pi\) | ||||
−0.999958 | + | 0.00911966i | \(0.997097\pi\) | |||||||
\(992\) | −34.5209 | − | 14.1617i | −1.09604 | − | 0.449634i | ||||
\(993\) | 17.7392 | 0.562935 | ||||||||
\(994\) | −33.9946 | + | 29.0294i | −1.07824 | + | 0.920757i | ||||
\(995\) | 35.6647 | + | 20.2530i | 1.13065 | + | 0.642065i | ||||
\(996\) | −14.6847 | + | 7.50738i | −0.465301 | + | 0.237881i | ||||
\(997\) | 47.7580 | 1.51251 | 0.756256 | − | 0.654276i | \(-0.227027\pi\) | ||||
0.756256 | + | 0.654276i | \(0.227027\pi\) | |||||||
\(998\) | 35.2700 | − | 8.49295i | 1.11645 | − | 0.268840i | ||||
\(999\) | −16.8961 | −0.534568 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))