Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(11,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.v (of order \(18\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 203.1 | ||
Character | \(\chi\) | \(=\) | 216.203 |
Dual form | 216.2.v.b.83.1 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41378 | − | 0.0350966i | −0.999692 | − | 0.0248170i | ||||
\(3\) | 1.62005 | + | 0.612720i | 0.935339 | + | 0.353754i | ||||
\(4\) | 1.99754 | + | 0.0992376i | 0.998768 | + | 0.0496188i | ||||
\(5\) | 1.31649 | + | 1.10467i | 0.588754 | + | 0.494023i | 0.887809 | − | 0.460213i | \(-0.152227\pi\) |
−0.299055 | + | 0.954236i | \(0.596671\pi\) | |||||||
\(6\) | −2.26889 | − | 0.923108i | −0.926271 | − | 0.376857i | ||||
\(7\) | 1.63653 | − | 4.49634i | 0.618551 | − | 1.69946i | −0.0919543 | − | 0.995763i | \(-0.529311\pi\) |
0.710505 | − | 0.703692i | \(-0.248466\pi\) | |||||||
\(8\) | −2.82059 | − | 0.210407i | −0.997229 | − | 0.0743900i | ||||
\(9\) | 2.24915 | + | 1.98528i | 0.749716 | + | 0.661759i | ||||
\(10\) | −1.82246 | − | 1.60796i | −0.576313 | − | 0.508482i | ||||
\(11\) | 0.757427 | + | 0.902667i | 0.228373 | + | 0.272164i | 0.868047 | − | 0.496482i | \(-0.165375\pi\) |
−0.639674 | + | 0.768646i | \(0.720931\pi\) | |||||||
\(12\) | 3.17531 | + | 1.38470i | 0.916634 | + | 0.399728i | ||||
\(13\) | −5.36812 | − | 0.946545i | −1.48885 | − | 0.262524i | −0.630741 | − | 0.775993i | \(-0.717249\pi\) |
−0.858108 | + | 0.513469i | \(0.828360\pi\) | |||||||
\(14\) | −2.47150 | + | 6.29938i | −0.660536 | + | 1.68358i | ||||
\(15\) | 1.45594 | + | 2.59627i | 0.375922 | + | 0.670353i | ||||
\(16\) | 3.98030 | + | 0.396461i | 0.995076 | + | 0.0991153i | ||||
\(17\) | −0.394582 | − | 0.227812i | −0.0957001 | − | 0.0552525i | 0.451386 | − | 0.892329i | \(-0.350930\pi\) |
−0.547086 | + | 0.837076i | \(0.684263\pi\) | |||||||
\(18\) | −3.11012 | − | 2.88568i | −0.733063 | − | 0.680161i | ||||
\(19\) | 1.73047 | + | 2.99726i | 0.396997 | + | 0.687619i | 0.993354 | − | 0.115100i | \(-0.0367189\pi\) |
−0.596357 | + | 0.802720i | \(0.703386\pi\) | |||||||
\(20\) | 2.52012 | + | 2.33726i | 0.563516 | + | 0.522628i | ||||
\(21\) | 5.40626 | − | 6.28157i | 1.17974 | − | 1.37075i | ||||
\(22\) | −1.03915 | − | 1.30275i | −0.221548 | − | 0.277748i | ||||
\(23\) | −1.07038 | + | 0.389588i | −0.223191 | + | 0.0812347i | −0.451195 | − | 0.892425i | \(-0.649002\pi\) |
0.228004 | + | 0.973660i | \(0.426780\pi\) | |||||||
\(24\) | −4.44059 | − | 2.06910i | −0.906431 | − | 0.422353i | ||||
\(25\) | −0.355379 | − | 2.01545i | −0.0710758 | − | 0.403091i | ||||
\(26\) | 7.55611 | + | 1.52661i | 1.48188 | + | 0.299392i | ||||
\(27\) | 2.42732 | + | 4.59435i | 0.467139 | + | 0.884184i | ||||
\(28\) | 3.71524 | − | 8.81919i | 0.702114 | − | 1.66667i | ||||
\(29\) | 0.152108 | + | 0.862650i | 0.0282458 | + | 0.160190i | 0.995668 | − | 0.0929779i | \(-0.0296386\pi\) |
−0.967422 | + | 0.253168i | \(0.918527\pi\) | |||||||
\(30\) | −1.96725 | − | 3.72164i | −0.359170 | − | 0.679476i | ||||
\(31\) | 2.15993 | + | 5.93437i | 0.387935 | + | 1.06584i | 0.967929 | + | 0.251223i | \(0.0808328\pi\) |
−0.579994 | + | 0.814621i | \(0.696945\pi\) | |||||||
\(32\) | −5.61335 | − | 0.700203i | −0.992310 | − | 0.123780i | ||||
\(33\) | 0.673992 | + | 1.92646i | 0.117327 | + | 0.335354i | ||||
\(34\) | 0.549855 | + | 0.335924i | 0.0942994 | + | 0.0576105i | ||||
\(35\) | 7.12145 | − | 4.11157i | 1.20375 | − | 0.694983i | ||||
\(36\) | 4.29574 | + | 4.18886i | 0.715957 | + | 0.698144i | ||||
\(37\) | 5.49344 | + | 3.17164i | 0.903117 | + | 0.521415i | 0.878210 | − | 0.478275i | \(-0.158738\pi\) |
0.0249066 | + | 0.999690i | \(0.492071\pi\) | |||||||
\(38\) | −2.34131 | − | 4.29820i | −0.379810 | − | 0.697260i | ||||
\(39\) | −8.11668 | − | 4.82261i | −1.29971 | − | 0.772235i | ||||
\(40\) | −3.48086 | − | 3.39282i | −0.550373 | − | 0.536452i | ||||
\(41\) | −11.4320 | − | 2.01577i | −1.78538 | − | 0.314810i | −0.819358 | − | 0.573282i | \(-0.805670\pi\) |
−0.966019 | + | 0.258472i | \(0.916781\pi\) | |||||||
\(42\) | −7.86372 | + | 8.69100i | −1.21340 | + | 1.34105i | ||||
\(43\) | −1.41495 | + | 1.18728i | −0.215777 | + | 0.181059i | −0.744269 | − | 0.667880i | \(-0.767202\pi\) |
0.528492 | + | 0.848938i | \(0.322758\pi\) | |||||||
\(44\) | 1.42341 | + | 1.87827i | 0.214587 | + | 0.283161i | ||||
\(45\) | 0.767916 | + | 5.09817i | 0.114474 | + | 0.759991i | ||||
\(46\) | 1.52696 | − | 0.513224i | 0.225138 | − | 0.0756708i | ||||
\(47\) | −2.28362 | − | 0.831169i | −0.333100 | − | 0.121239i | 0.170055 | − | 0.985435i | \(-0.445605\pi\) |
−0.503155 | + | 0.864196i | \(0.667828\pi\) | |||||||
\(48\) | 6.20539 | + | 3.08110i | 0.895670 | + | 0.444718i | ||||
\(49\) | −12.1765 | − | 10.2173i | −1.73950 | − | 1.45961i | ||||
\(50\) | 0.431691 | + | 2.86188i | 0.0610504 | + | 0.404731i | ||||
\(51\) | −0.499659 | − | 0.610835i | −0.0699662 | − | 0.0855340i | ||||
\(52\) | −10.6291 | − | 2.42348i | −1.47399 | − | 0.336076i | ||||
\(53\) | −12.1387 | −1.66737 | −0.833687 | − | 0.552237i | \(-0.813774\pi\) | ||||
−0.833687 | + | 0.552237i | \(0.813774\pi\) | |||||||
\(54\) | −3.27045 | − | 6.58059i | −0.445052 | − | 0.895505i | ||||
\(55\) | 2.02506i | 0.273059i | ||||||||
\(56\) | −5.56205 | + | 12.3380i | −0.743260 | + | 1.64873i | ||||
\(57\) | 0.966974 | + | 5.91602i | 0.128079 | + | 0.783596i | ||||
\(58\) | −0.184772 | − | 1.22493i | −0.0242617 | − | 0.160842i | ||||
\(59\) | 3.18940 | − | 3.80098i | 0.415225 | − | 0.494846i | −0.517374 | − | 0.855759i | \(-0.673091\pi\) |
0.932599 | + | 0.360913i | \(0.117535\pi\) | |||||||
\(60\) | 2.65064 | + | 5.33062i | 0.342197 | + | 0.688180i | ||||
\(61\) | −2.41946 | + | 6.64740i | −0.309780 | + | 0.851112i | 0.682919 | + | 0.730494i | \(0.260710\pi\) |
−0.992699 | + | 0.120619i | \(0.961512\pi\) | |||||||
\(62\) | −2.84539 | − | 8.46569i | −0.361365 | − | 1.07514i | ||||
\(63\) | 12.6073 | − | 6.86396i | 1.58837 | − | 0.864778i | ||||
\(64\) | 7.91146 | + | 1.18694i | 0.988932 | + | 0.148368i | ||||
\(65\) | −6.02148 | − | 7.17612i | −0.746873 | − | 0.890089i | ||||
\(66\) | −0.885262 | − | 2.74724i | −0.108968 | − | 0.338162i | ||||
\(67\) | 0.600205 | − | 3.40393i | 0.0733267 | − | 0.415856i | −0.925944 | − | 0.377662i | \(-0.876728\pi\) |
0.999270 | − | 0.0381946i | \(-0.0121607\pi\) | |||||||
\(68\) | −0.765584 | − | 0.494220i | −0.0928407 | − | 0.0599329i | ||||
\(69\) | −1.97279 | − | 0.0246918i | −0.237496 | − | 0.00297255i | ||||
\(70\) | −10.2125 | + | 5.56291i | −1.22062 | + | 0.664895i | ||||
\(71\) | 3.41347 | − | 5.91231i | 0.405105 | − | 0.701662i | −0.589229 | − | 0.807966i | \(-0.700568\pi\) |
0.994334 | + | 0.106304i | \(0.0339017\pi\) | |||||||
\(72\) | −5.92621 | − | 6.07289i | −0.698411 | − | 0.715697i | ||||
\(73\) | −0.407067 | − | 0.705061i | −0.0476436 | − | 0.0825211i | 0.841220 | − | 0.540693i | \(-0.181838\pi\) |
−0.888864 | + | 0.458172i | \(0.848505\pi\) | |||||||
\(74\) | −7.65520 | − | 4.67680i | −0.889899 | − | 0.543667i | ||||
\(75\) | 0.659175 | − | 3.48289i | 0.0761150 | − | 0.402170i | ||||
\(76\) | 3.15924 | + | 6.15887i | 0.362389 | + | 0.706471i | ||||
\(77\) | 5.29825 | − | 1.92840i | 0.603791 | − | 0.219762i | ||||
\(78\) | 11.3059 | + | 7.10296i | 1.28014 | + | 0.804252i | ||||
\(79\) | −12.8555 | + | 2.26677i | −1.44636 | + | 0.255032i | −0.841049 | − | 0.540959i | \(-0.818061\pi\) |
−0.605308 | + | 0.795991i | \(0.706950\pi\) | |||||||
\(80\) | 4.80209 | + | 4.91886i | 0.536890 | + | 0.549945i | ||||
\(81\) | 1.11735 | + | 8.93037i | 0.124150 | + | 0.992264i | ||||
\(82\) | 16.0916 | + | 3.25107i | 1.77701 | + | 0.359021i | ||||
\(83\) | 10.5557 | − | 1.86125i | 1.15864 | − | 0.204299i | 0.438893 | − | 0.898539i | \(-0.355371\pi\) |
0.719743 | + | 0.694241i | \(0.244260\pi\) | |||||||
\(84\) | 11.4226 | − | 12.0112i | 1.24631 | − | 1.31053i | ||||
\(85\) | −0.267808 | − | 0.735795i | −0.0290478 | − | 0.0798082i | ||||
\(86\) | 2.04209 | − | 1.62889i | 0.220204 | − | 0.175648i | ||||
\(87\) | −0.282139 | + | 1.49074i | −0.0302484 | + | 0.159824i | ||||
\(88\) | −1.94646 | − | 2.70542i | −0.207494 | − | 0.288399i | ||||
\(89\) | 7.03637 | − | 4.06245i | 0.745853 | − | 0.430619i | −0.0783403 | − | 0.996927i | \(-0.524962\pi\) |
0.824194 | + | 0.566308i | \(0.191629\pi\) | |||||||
\(90\) | −0.906734 | − | 7.23464i | −0.0955782 | − | 0.762598i | ||||
\(91\) | −13.0411 | + | 22.5878i | −1.36708 | + | 2.36785i | ||||
\(92\) | −2.17679 | + | 0.671994i | −0.226946 | + | 0.0700602i | ||||
\(93\) | −0.136895 | + | 10.9374i | −0.0141954 | + | 1.13416i | ||||
\(94\) | 3.19936 | + | 1.25524i | 0.329989 | + | 0.129468i | ||||
\(95\) | −1.03283 | + | 5.85748i | −0.105966 | + | 0.600965i | ||||
\(96\) | −8.66490 | − | 4.57378i | −0.884358 | − | 0.466809i | ||||
\(97\) | −1.18161 | + | 0.991491i | −0.119975 | + | 0.100671i | −0.700801 | − | 0.713357i | \(-0.747174\pi\) |
0.580826 | + | 0.814027i | \(0.302729\pi\) | |||||||
\(98\) | 16.8563 | + | 14.8723i | 1.70274 | + | 1.50233i | ||||
\(99\) | −0.0884767 | + | 3.53394i | −0.00889225 | + | 0.355174i | ||||
\(100\) | −0.509874 | − | 4.06121i | −0.0509874 | − | 0.406121i | ||||
\(101\) | 2.31957 | + | 0.844254i | 0.230806 | + | 0.0840064i | 0.454834 | − | 0.890576i | \(-0.349699\pi\) |
−0.224028 | + | 0.974583i | \(0.571921\pi\) | |||||||
\(102\) | 0.684968 | + | 0.881122i | 0.0678220 | + | 0.0872441i | ||||
\(103\) | 1.22953 | − | 1.46530i | 0.121149 | − | 0.144380i | −0.702061 | − | 0.712117i | \(-0.747736\pi\) |
0.823210 | + | 0.567737i | \(0.192181\pi\) | |||||||
\(104\) | 14.9421 | + | 3.79930i | 1.46519 | + | 0.372552i | ||||
\(105\) | 14.0564 | − | 2.29752i | 1.37176 | − | 0.224215i | ||||
\(106\) | 17.1614 | + | 0.426026i | 1.66686 | + | 0.0413793i | ||||
\(107\) | − | 16.8797i | − | 1.63182i | −0.578175 | − | 0.815912i | \(-0.696235\pi\) | ||
0.578175 | − | 0.815912i | \(-0.303765\pi\) | |||||||
\(108\) | 4.39274 | + | 9.41827i | 0.422691 | + | 0.906274i | ||||
\(109\) | − | 11.1831i | − | 1.07115i | −0.844489 | − | 0.535573i | \(-0.820095\pi\) | ||
0.844489 | − | 0.535573i | \(-0.179905\pi\) | |||||||
\(110\) | 0.0710728 | − | 2.86299i | 0.00677653 | − | 0.272975i | ||||
\(111\) | 6.95635 | + | 8.50417i | 0.660267 | + | 0.807180i | ||||
\(112\) | 8.29652 | − | 17.2480i | 0.783947 | − | 1.62978i | ||||
\(113\) | −11.3884 | + | 13.5722i | −1.07133 | + | 1.27676i | −0.112234 | + | 0.993682i | \(0.535801\pi\) |
−0.959096 | + | 0.283080i | \(0.908644\pi\) | |||||||
\(114\) | −1.15945 | − | 8.39788i | −0.108593 | − | 0.786534i | ||||
\(115\) | −1.83952 | − | 0.669531i | −0.171536 | − | 0.0624341i | ||||
\(116\) | 0.218235 | + | 1.73827i | 0.0202626 | + | 0.161394i | ||||
\(117\) | −10.1946 | − | 12.7861i | −0.942487 | − | 1.18208i | ||||
\(118\) | −4.64251 | + | 5.26181i | −0.427378 | + | 0.484389i | ||||
\(119\) | −1.67006 | + | 1.40135i | −0.153094 | + | 0.128462i | ||||
\(120\) | −3.56034 | − | 7.62934i | −0.325013 | − | 0.696461i | ||||
\(121\) | 1.66902 | − | 9.46548i | 0.151729 | − | 0.860498i | ||||
\(122\) | 3.65387 | − | 9.31303i | 0.330806 | − | 0.843162i | ||||
\(123\) | −17.2853 | − | 10.2703i | −1.55857 | − | 0.926038i | ||||
\(124\) | 3.72563 | + | 12.0685i | 0.334572 | + | 1.08378i | ||||
\(125\) | 6.05496 | − | 10.4875i | 0.541572 | − | 0.938031i | ||||
\(126\) | −18.0648 | + | 9.26164i | −1.60934 | + | 0.825093i | ||||
\(127\) | 9.67865 | − | 5.58797i | 0.858841 | − | 0.495852i | −0.00478302 | − | 0.999989i | \(-0.501522\pi\) |
0.863624 | + | 0.504136i | \(0.168189\pi\) | |||||||
\(128\) | −11.1434 | − | 1.95574i | −0.984946 | − | 0.172864i | ||||
\(129\) | −3.01976 | + | 1.05649i | −0.265875 | + | 0.0930190i | ||||
\(130\) | 8.26118 | + | 10.3568i | 0.724554 | + | 0.908350i | ||||
\(131\) | 3.76485 | + | 10.3438i | 0.328936 | + | 0.903744i | 0.988382 | + | 0.151992i | \(0.0485689\pi\) |
−0.659446 | + | 0.751752i | \(0.729209\pi\) | |||||||
\(132\) | 1.15515 | + | 3.91506i | 0.100543 | + | 0.340762i | ||||
\(133\) | 16.3087 | − | 2.87566i | 1.41414 | − | 0.249351i | ||||
\(134\) | −0.968023 | + | 4.79134i | −0.0836245 | + | 0.413909i | ||||
\(135\) | −1.87969 | + | 8.72984i | −0.161778 | + | 0.751345i | ||||
\(136\) | 1.06502 | + | 0.725586i | 0.0913247 | + | 0.0622185i | ||||
\(137\) | 13.8815 | − | 2.44768i | 1.18598 | − | 0.209119i | 0.454348 | − | 0.890824i | \(-0.349872\pi\) |
0.731627 | + | 0.681705i | \(0.238761\pi\) | |||||||
\(138\) | 2.78822 | + | 0.104147i | 0.237349 | + | 0.00886557i | ||||
\(139\) | −5.23084 | + | 1.90387i | −0.443674 | + | 0.161484i | −0.554190 | − | 0.832390i | \(-0.686972\pi\) |
0.110516 | + | 0.993874i | \(0.464750\pi\) | |||||||
\(140\) | 14.6334 | − | 7.50630i | 1.23675 | − | 0.634398i | ||||
\(141\) | −3.19031 | − | 2.74576i | −0.268673 | − | 0.231235i | ||||
\(142\) | −5.03340 | + | 8.23889i | −0.422393 | + | 0.691392i | ||||
\(143\) | −3.21155 | − | 5.56256i | −0.268563 | − | 0.465165i | ||||
\(144\) | 8.16521 | + | 8.79371i | 0.680434 | + | 0.732809i | ||||
\(145\) | −0.752694 | + | 1.30370i | −0.0625078 | + | 0.108267i | ||||
\(146\) | 0.550757 | + | 1.01109i | 0.0455810 | + | 0.0836781i | ||||
\(147\) | −13.4662 | − | 24.0133i | −1.11068 | − | 1.98059i | ||||
\(148\) | 10.6586 | + | 6.88063i | 0.876132 | + | 0.565584i | ||||
\(149\) | −2.58539 | + | 14.6625i | −0.211803 | + | 1.20120i | 0.674565 | + | 0.738216i | \(0.264331\pi\) |
−0.886368 | + | 0.462981i | \(0.846780\pi\) | |||||||
\(150\) | −1.05417 | + | 4.90090i | −0.0860722 | + | 0.400157i | ||||
\(151\) | 11.9983 | + | 14.2990i | 0.976405 | + | 1.16363i | 0.986513 | + | 0.163685i | \(0.0523382\pi\) |
−0.0101076 | + | 0.999949i | \(0.503217\pi\) | |||||||
\(152\) | −4.25031 | − | 8.81816i | −0.344745 | − | 0.715247i | ||||
\(153\) | −0.435203 | − | 1.29574i | −0.0351841 | − | 0.104754i | ||||
\(154\) | −7.55822 | + | 2.54038i | −0.609059 | + | 0.204710i | ||||
\(155\) | −3.71198 | + | 10.1986i | −0.298153 | + | 0.819169i | ||||
\(156\) | −15.7348 | − | 10.4388i | −1.25979 | − | 0.835774i | ||||
\(157\) | −4.95279 | + | 5.90251i | −0.395276 | + | 0.471071i | −0.926573 | − | 0.376114i | \(-0.877260\pi\) |
0.531298 | + | 0.847185i | \(0.321705\pi\) | |||||||
\(158\) | 18.2544 | − | 2.75353i | 1.45224 | − | 0.219059i | ||||
\(159\) | −19.6653 | − | 7.43760i | −1.55956 | − | 0.589840i | ||||
\(160\) | −6.61645 | − | 7.12272i | −0.523077 | − | 0.563100i | ||||
\(161\) | 5.45038i | 0.429550i | ||||||||
\(162\) | −1.26625 | − | 12.6648i | −0.0994863 | − | 0.995039i | ||||
\(163\) | −4.86594 | −0.381130 | −0.190565 | − | 0.981675i | \(-0.561032\pi\) | ||||
−0.190565 | + | 0.981675i | \(0.561032\pi\) | |||||||
\(164\) | −22.6358 | − | 5.16105i | −1.76756 | − | 0.403011i | ||||
\(165\) | −1.24080 | + | 3.28071i | −0.0965958 | + | 0.255403i | ||||
\(166\) | −14.9887 | + | 2.26093i | −1.16335 | + | 0.175482i | ||||
\(167\) | −5.93958 | − | 4.98390i | −0.459619 | − | 0.385666i | 0.383372 | − | 0.923594i | \(-0.374763\pi\) |
−0.842991 | + | 0.537928i | \(0.819207\pi\) | |||||||
\(168\) | −16.5705 | + | 16.5802i | −1.27844 | + | 1.27919i | ||||
\(169\) | 15.7048 | + | 5.71607i | 1.20806 | + | 0.439698i | ||||
\(170\) | 0.352797 | + | 1.04965i | 0.0270583 | + | 0.0805045i | ||||
\(171\) | −2.05831 | + | 10.1768i | −0.157403 | + | 0.778236i | ||||
\(172\) | −2.94423 | + | 2.23122i | −0.224495 | + | 0.170129i | ||||
\(173\) | −2.39480 | + | 2.00948i | −0.182073 | + | 0.152778i | −0.729269 | − | 0.684227i | \(-0.760140\pi\) |
0.547196 | + | 0.837005i | \(0.315695\pi\) | |||||||
\(174\) | 0.451201 | − | 2.09767i | 0.0342055 | − | 0.159024i | ||||
\(175\) | −9.64375 | − | 1.70045i | −0.728999 | − | 0.128542i | ||||
\(176\) | 2.65692 | + | 3.89318i | 0.200273 | + | 0.293459i | ||||
\(177\) | 7.49594 | − | 4.20359i | 0.563429 | − | 0.315961i | ||||
\(178\) | −10.0904 | + | 5.49645i | −0.756310 | + | 0.411976i | ||||
\(179\) | −9.72475 | − | 5.61459i | −0.726862 | − | 0.419654i | 0.0904110 | − | 0.995905i | \(-0.471182\pi\) |
−0.817273 | + | 0.576250i | \(0.804515\pi\) | |||||||
\(180\) | 1.02801 | + | 10.2600i | 0.0766234 | + | 0.764735i | ||||
\(181\) | −12.9165 | + | 7.45734i | −0.960075 | + | 0.554300i | −0.896196 | − | 0.443658i | \(-0.853680\pi\) |
−0.0638789 | + | 0.997958i | \(0.520347\pi\) | |||||||
\(182\) | 19.2300 | − | 31.4765i | 1.42542 | − | 2.33319i | ||||
\(183\) | −7.99264 | + | 9.28670i | −0.590833 | + | 0.686493i | ||||
\(184\) | 3.10109 | − | 0.873652i | 0.228615 | − | 0.0644065i | ||||
\(185\) | 3.72847 | + | 10.2439i | 0.274123 | + | 0.753146i | ||||
\(186\) | 0.577406 | − | 15.4583i | 0.0423374 | − | 1.13346i | ||||
\(187\) | −0.0932288 | − | 0.528727i | −0.00681756 | − | 0.0386643i | ||||
\(188\) | −4.47913 | − | 1.88691i | −0.326674 | − | 0.137617i | ||||
\(189\) | 24.6302 | − | 3.39526i | 1.79158 | − | 0.246969i | ||||
\(190\) | 1.66577 | − | 8.24493i | 0.120848 | − | 0.598150i | ||||
\(191\) | −1.67647 | − | 9.50775i | −0.121305 | − | 0.687957i | −0.983434 | − | 0.181267i | \(-0.941980\pi\) |
0.862129 | − | 0.506690i | \(-0.169131\pi\) | |||||||
\(192\) | 12.0897 | + | 6.77041i | 0.872501 | + | 0.488613i | ||||
\(193\) | 5.42295 | − | 1.97379i | 0.390352 | − | 0.142077i | −0.139385 | − | 0.990238i | \(-0.544513\pi\) |
0.529738 | + | 0.848162i | \(0.322290\pi\) | |||||||
\(194\) | 1.70534 | − | 1.36028i | 0.122436 | − | 0.0976622i | ||||
\(195\) | −5.35818 | − | 15.3152i | −0.383707 | − | 1.09674i | ||||
\(196\) | −23.3090 | − | 21.6178i | −1.66493 | − | 1.54413i | ||||
\(197\) | 7.24542 | + | 12.5494i | 0.516215 | + | 0.894110i | 0.999823 | + | 0.0188255i | \(0.00599269\pi\) |
−0.483608 | + | 0.875285i | \(0.660674\pi\) | |||||||
\(198\) | 0.249116 | − | 4.99310i | 0.0177039 | − | 0.354844i | ||||
\(199\) | 12.3632 | + | 7.13788i | 0.876402 | + | 0.505991i | 0.869470 | − | 0.493985i | \(-0.164460\pi\) |
0.00693173 | + | 0.999976i | \(0.497794\pi\) | |||||||
\(200\) | 0.578314 | + | 5.75955i | 0.0408930 | + | 0.407261i | ||||
\(201\) | 3.05802 | − | 5.14680i | 0.215696 | − | 0.363027i | ||||
\(202\) | −3.24973 | − | 1.27500i | −0.228650 | − | 0.0897085i | ||||
\(203\) | 4.12769 | + | 0.727824i | 0.289707 | + | 0.0510832i | ||||
\(204\) | −0.937469 | − | 1.26975i | −0.0656359 | − | 0.0889003i | ||||
\(205\) | −12.8234 | − | 15.2823i | −0.895625 | − | 1.06736i | ||||
\(206\) | −1.78971 | + | 2.02845i | −0.124695 | + | 0.141329i | ||||
\(207\) | −3.18089 | − | 1.24877i | −0.221087 | − | 0.0867954i | ||||
\(208\) | −20.9915 | − | 5.89579i | −1.45550 | − | 0.408799i | ||||
\(209\) | −1.39482 | + | 3.83225i | −0.0964820 | + | 0.265082i | ||||
\(210\) | −19.9532 | + | 2.75485i | −1.37690 | + | 0.190102i | ||||
\(211\) | 13.8816 | + | 11.6480i | 0.955649 | + | 0.801885i | 0.980240 | − | 0.197813i | \(-0.0633838\pi\) |
−0.0245907 | + | 0.999698i | \(0.507828\pi\) | |||||||
\(212\) | −24.2474 | − | 1.20461i | −1.66532 | − | 0.0827331i | ||||
\(213\) | 9.15260 | − | 7.48676i | 0.627126 | − | 0.512984i | ||||
\(214\) | −0.592421 | + | 23.8642i | −0.0404971 | + | 1.63132i | ||||
\(215\) | −3.17432 | −0.216487 | ||||||||
\(216\) | −5.87981 | − | 13.4695i | −0.400070 | − | 0.916485i | ||||
\(217\) | 30.2177 | 2.05131 | ||||||||
\(218\) | −0.392489 | + | 15.8104i | −0.0265827 | + | 1.07082i | ||||
\(219\) | −0.227466 | − | 1.39165i | −0.0153707 | − | 0.0940393i | ||||
\(220\) | −0.200962 | + | 4.04514i | −0.0135489 | + | 0.272723i | ||||
\(221\) | 1.90253 | + | 1.59641i | 0.127978 | + | 0.107386i | ||||
\(222\) | −9.53627 | − | 12.2672i | −0.640032 | − | 0.823317i | ||||
\(223\) | 3.12879 | − | 8.59628i | 0.209519 | − | 0.575650i | −0.789768 | − | 0.613406i | \(-0.789799\pi\) |
0.999287 | + | 0.0377565i | \(0.0120211\pi\) | |||||||
\(224\) | −12.3348 | + | 24.0936i | −0.824152 | + | 1.60982i | ||||
\(225\) | 3.20194 | − | 5.23858i | 0.213462 | − | 0.349239i | ||||
\(226\) | 16.5770 | − | 18.7883i | 1.10269 | − | 1.24978i | ||||
\(227\) | 6.66470 | + | 7.94268i | 0.442352 | + | 0.527174i | 0.940443 | − | 0.339950i | \(-0.110410\pi\) |
−0.498092 | + | 0.867124i | \(0.665966\pi\) | |||||||
\(228\) | 1.34447 | + | 11.9134i | 0.0890400 | + | 0.788986i | ||||
\(229\) | 5.01320 | + | 0.883963i | 0.331282 | + | 0.0584139i | 0.336815 | − | 0.941571i | \(-0.390650\pi\) |
−0.00553340 | + | 0.999985i | \(0.501761\pi\) | |||||||
\(230\) | 2.57718 | + | 1.01113i | 0.169934 | + | 0.0666719i | ||||
\(231\) | 9.76502 | + | 0.122221i | 0.642491 | + | 0.00804154i | ||||
\(232\) | −0.247528 | − | 2.46519i | −0.0162510 | − | 0.161847i | ||||
\(233\) | 8.21403 | + | 4.74237i | 0.538119 | + | 0.310683i | 0.744316 | − | 0.667827i | \(-0.232775\pi\) |
−0.206197 | + | 0.978510i | \(0.566109\pi\) | |||||||
\(234\) | 13.9641 | + | 18.4345i | 0.912861 | + | 1.20510i | ||||
\(235\) | −2.08820 | − | 3.61688i | −0.136219 | − | 0.235939i | ||||
\(236\) | 6.74815 | − | 7.27609i | 0.439267 | − | 0.473633i | ||||
\(237\) | −22.2155 | − | 4.20453i | −1.44305 | − | 0.273113i | ||||
\(238\) | 2.41028 | − | 1.92258i | 0.156235 | − | 0.124623i | ||||
\(239\) | 22.5356 | − | 8.20228i | 1.45771 | − | 0.530561i | 0.512973 | − | 0.858405i | \(-0.328544\pi\) |
0.944732 | + | 0.327843i | \(0.106322\pi\) | |||||||
\(240\) | 4.76576 | + | 10.9112i | 0.307629 | + | 0.704312i | ||||
\(241\) | 3.02186 | + | 17.1378i | 0.194655 | + | 1.10394i | 0.912909 | + | 0.408162i | \(0.133830\pi\) |
−0.718255 | + | 0.695780i | \(0.755059\pi\) | |||||||
\(242\) | −2.69183 | + | 13.3235i | −0.173037 | + | 0.856467i | ||||
\(243\) | −3.66165 | + | 15.1523i | −0.234895 | + | 0.972021i | ||||
\(244\) | −5.49262 | + | 13.0383i | −0.351629 | + | 0.834693i | ||||
\(245\) | −4.74355 | − | 26.9020i | −0.303054 | − | 1.71871i | ||||
\(246\) | 24.0772 | + | 15.1265i | 1.53511 | + | 0.964432i | ||||
\(247\) | −6.45233 | − | 17.7276i | −0.410552 | − | 1.12798i | ||||
\(248\) | −4.84366 | − | 17.1929i | −0.307572 | − | 1.09175i | ||||
\(249\) | 18.2412 | + | 3.45234i | 1.15599 | + | 0.218783i | ||||
\(250\) | −8.92845 | + | 14.6145i | −0.564685 | + | 0.924302i | ||||
\(251\) | −9.03981 | + | 5.21914i | −0.570588 | + | 0.329429i | −0.757384 | − | 0.652970i | \(-0.773523\pi\) |
0.186796 | + | 0.982399i | \(0.440190\pi\) | |||||||
\(252\) | 25.8647 | − | 12.4599i | 1.62932 | − | 0.784900i | ||||
\(253\) | −1.16241 | − | 0.671116i | −0.0730799 | − | 0.0421927i | ||||
\(254\) | −13.8796 | + | 7.56046i | −0.870882 | + | 0.474385i | ||||
\(255\) | 0.0169735 | − | 1.35612i | 0.00106292 | − | 0.0849235i | ||||
\(256\) | 15.6856 | + | 3.15607i | 0.980352 | + | 0.197255i | ||||
\(257\) | −20.2320 | − | 3.56745i | −1.26204 | − | 0.222532i | −0.497702 | − | 0.867348i | \(-0.665823\pi\) |
−0.764338 | + | 0.644816i | \(0.776934\pi\) | |||||||
\(258\) | 4.30635 | − | 1.38766i | 0.268101 | − | 0.0863921i | ||||
\(259\) | 23.2510 | − | 19.5099i | 1.44474 | − | 1.21228i | ||||
\(260\) | −11.3160 | − | 14.9321i | −0.701788 | − | 0.926051i | ||||
\(261\) | −1.37048 | + | 2.24221i | −0.0848309 | + | 0.138789i | ||||
\(262\) | −4.95962 | − | 14.7560i | −0.306407 | − | 0.911629i | ||||
\(263\) | 23.8393 | + | 8.67678i | 1.46999 | + | 0.535033i | 0.948098 | − | 0.317978i | \(-0.103004\pi\) |
0.521893 | + | 0.853011i | \(0.325226\pi\) | |||||||
\(264\) | −1.49571 | − | 5.57556i | −0.0920548 | − | 0.343152i | ||||
\(265\) | −15.9805 | − | 13.4092i | −0.981674 | − | 0.823722i | ||||
\(266\) | −23.1578 | + | 3.49317i | −1.41989 | + | 0.214180i | ||||
\(267\) | 13.8884 | − | 2.27007i | 0.849958 | − | 0.138926i | ||||
\(268\) | 1.53673 | − | 6.73991i | 0.0938707 | − | 0.411706i | ||||
\(269\) | 19.8102 | 1.20785 | 0.603926 | − | 0.797040i | \(-0.293602\pi\) | ||||
0.603926 | + | 0.797040i | \(0.293602\pi\) | |||||||
\(270\) | 2.96385 | − | 12.2761i | 0.180374 | − | 0.747098i | ||||
\(271\) | − | 12.1420i | − | 0.737573i | −0.929514 | − | 0.368787i | \(-0.879773\pi\) | ||
0.929514 | − | 0.368787i | \(-0.120227\pi\) | |||||||
\(272\) | −1.48024 | − | 1.06320i | −0.0897525 | − | 0.0644658i | ||||
\(273\) | −34.9673 | + | 28.6030i | −2.11632 | + | 1.73113i | ||||
\(274\) | −19.7112 | + | 2.97328i | −1.19080 | + | 0.179623i | ||||
\(275\) | 1.55011 | − | 1.84735i | 0.0934752 | − | 0.111399i | ||||
\(276\) | −3.93827 | − | 0.245098i | −0.237056 | − | 0.0147531i | ||||
\(277\) | 1.79216 | − | 4.92392i | 0.107681 | − | 0.295850i | −0.874136 | − | 0.485681i | \(-0.838572\pi\) |
0.981817 | + | 0.189831i | \(0.0607940\pi\) | |||||||
\(278\) | 7.46206 | − | 2.50806i | 0.447545 | − | 0.150424i | ||||
\(279\) | −6.92335 | + | 17.6353i | −0.414490 | + | 1.05580i | ||||
\(280\) | −20.9518 | + | 10.0987i | −1.25211 | + | 0.603510i | ||||
\(281\) | −0.727805 | − | 0.867364i | −0.0434172 | − | 0.0517426i | 0.743899 | − | 0.668292i | \(-0.232974\pi\) |
−0.787316 | + | 0.616550i | \(0.788530\pi\) | |||||||
\(282\) | 4.41403 | + | 3.99386i | 0.262852 | + | 0.237831i | ||||
\(283\) | 1.23962 | − | 7.03026i | 0.0736880 | − | 0.417905i | −0.925541 | − | 0.378647i | \(-0.876389\pi\) |
0.999229 | − | 0.0392582i | \(-0.0124995\pi\) | |||||||
\(284\) | 7.40526 | − | 11.4713i | 0.439421 | − | 0.680697i | ||||
\(285\) | −5.26224 | + | 8.85660i | −0.311708 | + | 0.524620i | ||||
\(286\) | 4.34519 | + | 7.97694i | 0.256936 | + | 0.471687i | ||||
\(287\) | −27.7724 | + | 48.1032i | −1.63935 | + | 2.83944i | ||||
\(288\) | −11.2352 | − | 12.7189i | −0.662039 | − | 0.749470i | ||||
\(289\) | −8.39620 | − | 14.5427i | −0.493894 | − | 0.855450i | ||||
\(290\) | 1.10990 | − | 1.81673i | 0.0651754 | − | 0.106682i | ||||
\(291\) | −2.52178 | + | 0.882271i | −0.147829 | + | 0.0517196i | ||||
\(292\) | −0.743163 | − | 1.44878i | −0.0434903 | − | 0.0847835i | ||||
\(293\) | −2.36358 | + | 0.860272i | −0.138082 | + | 0.0502576i | −0.410137 | − | 0.912024i | \(-0.634519\pi\) |
0.272055 | + | 0.962282i | \(0.412297\pi\) | |||||||
\(294\) | 18.1955 | + | 34.4221i | 1.06118 | + | 2.00754i | ||||
\(295\) | 8.39766 | − | 1.48073i | 0.488931 | − | 0.0862117i | ||||
\(296\) | −14.8274 | − | 10.1018i | −0.861826 | − | 0.587153i | ||||
\(297\) | −2.30865 | + | 5.67096i | −0.133961 | + | 0.329062i | ||||
\(298\) | 4.16977 | − | 20.6388i | 0.241548 | − | 1.19557i | ||||
\(299\) | 6.11472 | − | 1.07819i | 0.353623 | − | 0.0623533i | ||||
\(300\) | 1.66236 | − | 6.89179i | 0.0959764 | − | 0.397898i | ||||
\(301\) | 3.02281 | + | 8.30509i | 0.174232 | + | 0.478697i | ||||
\(302\) | −16.4610 | − | 20.6367i | −0.947226 | − | 1.18751i | ||||
\(303\) | 3.24054 | + | 2.78898i | 0.186164 | + | 0.160223i | ||||
\(304\) | 5.69950 | + | 12.6161i | 0.326889 | + | 0.723582i | ||||
\(305\) | −10.5284 | + | 6.07857i | −0.602854 | + | 0.348058i | ||||
\(306\) | 0.569805 | + | 1.84716i | 0.0325736 | + | 0.105595i | ||||
\(307\) | −5.71371 | + | 9.89644i | −0.326099 | + | 0.564820i | −0.981734 | − | 0.190258i | \(-0.939068\pi\) |
0.655635 | + | 0.755078i | \(0.272401\pi\) | |||||||
\(308\) | 10.7748 | − | 3.32627i | 0.613952 | − | 0.189532i | ||||
\(309\) | 2.88972 | − | 1.62050i | 0.164391 | − | 0.0921873i | ||||
\(310\) | 5.60585 | − | 14.2882i | 0.318391 | − | 0.811518i | ||||
\(311\) | 1.99125 | − | 11.2930i | 0.112914 | − | 0.640365i | −0.874849 | − | 0.484397i | \(-0.839039\pi\) |
0.987762 | − | 0.155968i | \(-0.0498497\pi\) | |||||||
\(312\) | 21.8791 | + | 15.3104i | 1.23866 | + | 0.866781i | ||||
\(313\) | 6.15688 | − | 5.16624i | 0.348008 | − | 0.292013i | −0.451982 | − | 0.892027i | \(-0.649283\pi\) |
0.799989 | + | 0.600014i | \(0.204838\pi\) | |||||||
\(314\) | 7.20931 | − | 8.17101i | 0.406845 | − | 0.461117i | ||||
\(315\) | 24.1798 | + | 4.89052i | 1.36238 | + | 0.275550i | ||||
\(316\) | −25.9043 | + | 3.25221i | −1.45723 | + | 0.182951i | ||||
\(317\) | −10.7435 | − | 3.91031i | −0.603415 | − | 0.219625i | 0.0222044 | − | 0.999753i | \(-0.492932\pi\) |
−0.625620 | + | 0.780128i | \(0.715154\pi\) | |||||||
\(318\) | 27.5413 | + | 11.2053i | 1.54444 | + | 0.628362i | ||||
\(319\) | −0.663474 | + | 0.790698i | −0.0371474 | + | 0.0442706i | ||||
\(320\) | 9.10421 | + | 10.3022i | 0.508941 | + | 0.575908i | ||||
\(321\) | 10.3425 | − | 27.3461i | 0.577264 | − | 1.52631i | ||||
\(322\) | 0.191290 | − | 7.70563i | 0.0106602 | − | 0.429418i | ||||
\(323\) | − | 1.57689i | − | 0.0877403i | ||||||
\(324\) | 1.34571 | + | 17.9496i | 0.0747618 | + | 0.997201i | ||||
\(325\) | 11.1556i | 0.618801i | ||||||||
\(326\) | 6.87936 | + | 0.170778i | 0.381012 | + | 0.00945851i | ||||
\(327\) | 6.85211 | − | 18.1172i | 0.378922 | − | 1.00189i | ||||
\(328\) | 31.8208 | + | 8.09102i | 1.75701 | + | 0.446752i | ||||
\(329\) | −7.47443 | + | 8.90768i | −0.412079 | + | 0.491096i | ||||
\(330\) | 1.86935 | − | 4.59465i | 0.102904 | − | 0.252927i | ||||
\(331\) | 0.710903 | + | 0.258748i | 0.0390748 | + | 0.0142221i | 0.361484 | − | 0.932378i | \(-0.382270\pi\) |
−0.322409 | + | 0.946601i | \(0.604493\pi\) | |||||||
\(332\) | 21.2700 | − | 2.67040i | 1.16735 | − | 0.146557i | ||||
\(333\) | 6.05899 | + | 18.0395i | 0.332030 | + | 0.988559i | ||||
\(334\) | 8.22233 | + | 7.25459i | 0.449906 | + | 0.396953i | ||||
\(335\) | 4.55039 | − | 3.81823i | 0.248614 | − | 0.208612i | ||||
\(336\) | 24.0090 | − | 22.8592i | 1.30980 | − | 1.24707i | ||||
\(337\) | −2.31594 | + | 13.1343i | −0.126157 | + | 0.715473i | 0.854457 | + | 0.519523i | \(0.173890\pi\) |
−0.980614 | + | 0.195950i | \(0.937221\pi\) | |||||||
\(338\) | −22.0025 | − | 8.63244i | −1.19678 | − | 0.469543i | ||||
\(339\) | −26.7657 | + | 15.0097i | −1.45372 | + | 0.815217i | ||||
\(340\) | −0.461937 | − | 1.49635i | −0.0250520 | − | 0.0811512i | ||||
\(341\) | −3.72076 | + | 6.44455i | −0.201491 | + | 0.348992i | ||||
\(342\) | 3.26717 | − | 14.3154i | 0.176668 | − | 0.774090i | ||||
\(343\) | −36.8606 | + | 21.2815i | −1.99029 | + | 1.14909i | ||||
\(344\) | 4.24079 | − | 3.05112i | 0.228648 | − | 0.164505i | ||||
\(345\) | −2.56989 | − | 2.21179i | −0.138358 | − | 0.119079i | ||||
\(346\) | 3.45624 | − | 2.75690i | 0.185809 | − | 0.148212i | ||||
\(347\) | −6.31721 | − | 17.3564i | −0.339126 | − | 0.931740i | −0.985643 | − | 0.168841i | \(-0.945998\pi\) |
0.646518 | − | 0.762899i | \(-0.276225\pi\) | |||||||
\(348\) | −0.711519 | + | 2.94981i | −0.0381414 | + | 0.158126i | ||||
\(349\) | −2.00043 | + | 0.352730i | −0.107081 | + | 0.0188812i | −0.226932 | − | 0.973911i | \(-0.572869\pi\) |
0.119851 | + | 0.992792i | \(0.461758\pi\) | |||||||
\(350\) | 13.5744 | + | 2.74253i | 0.725584 | + | 0.146594i | ||||
\(351\) | −8.68141 | − | 26.9606i | −0.463380 | − | 1.43905i | ||||
\(352\) | −3.61966 | − | 5.59734i | −0.192928 | − | 0.298339i | ||||
\(353\) | 14.8073 | − | 2.61092i | 0.788111 | − | 0.138965i | 0.234914 | − | 0.972016i | \(-0.424519\pi\) |
0.553196 | + | 0.833051i | \(0.313408\pi\) | |||||||
\(354\) | −10.7451 | + | 5.67986i | −0.571097 | + | 0.301881i | ||||
\(355\) | 11.0250 | − | 4.01276i | 0.585145 | − | 0.212975i | ||||
\(356\) | 14.4585 | − | 7.41662i | 0.766301 | − | 0.393080i | ||||
\(357\) | −3.56423 | + | 1.24698i | −0.188639 | + | 0.0659973i | ||||
\(358\) | 13.5516 | + | 8.27909i | 0.716224 | + | 0.437563i | ||||
\(359\) | −6.75445 | − | 11.6991i | −0.356486 | − | 0.617453i | 0.630885 | − | 0.775877i | \(-0.282692\pi\) |
−0.987371 | + | 0.158424i | \(0.949359\pi\) | |||||||
\(360\) | −1.09329 | − | 14.5414i | −0.0576213 | − | 0.766401i | ||||
\(361\) | 3.51094 | − | 6.08113i | 0.184786 | − | 0.320059i | ||||
\(362\) | 18.5228 | − | 10.0897i | 0.973535 | − | 0.530303i | ||||
\(363\) | 8.50358 | − | 14.3119i | 0.446322 | − | 0.751182i | ||||
\(364\) | −28.2916 | + | 43.8258i | −1.48288 | + | 2.29710i | ||||
\(365\) | 0.242958 | − | 1.37788i | 0.0127170 | − | 0.0721217i | ||||
\(366\) | 11.6258 | − | 12.8488i | 0.607688 | − | 0.671618i | ||||
\(367\) | −19.2060 | − | 22.8888i | −1.00254 | − | 1.19478i | −0.980799 | − | 0.195021i | \(-0.937523\pi\) |
−0.0217439 | − | 0.999764i | \(-0.506922\pi\) | |||||||
\(368\) | −4.41491 | + | 1.12631i | −0.230143 | + | 0.0587131i | ||||
\(369\) | −21.7104 | − | 27.2294i | −1.13020 | − | 1.41751i | ||||
\(370\) | −4.91171 | − | 14.6134i | −0.255347 | − | 0.759717i | ||||
\(371\) | −19.8653 | + | 54.5795i | −1.03136 | + | 2.83363i | ||||
\(372\) | −1.35886 | + | 21.8343i | −0.0704534 | + | 1.13206i | ||||
\(373\) | 1.28233 | − | 1.52822i | 0.0663966 | − | 0.0791284i | −0.731824 | − | 0.681494i | \(-0.761331\pi\) |
0.798220 | + | 0.602366i | \(0.205775\pi\) | |||||||
\(374\) | 0.113248 | + | 0.750774i | 0.00585593 | + | 0.0388216i | ||||
\(375\) | 16.2353 | − | 13.2803i | 0.838385 | − | 0.685793i | ||||
\(376\) | 6.26627 | + | 2.82488i | 0.323158 | + | 0.145682i | ||||
\(377\) | − | 4.77479i | − | 0.245914i | ||||||
\(378\) | −34.9407 | + | 3.93571i | −1.79716 | + | 0.202431i | ||||
\(379\) | −2.60318 | −0.133716 | −0.0668581 | − | 0.997762i | \(-0.521297\pi\) | ||||
−0.0668581 | + | 0.997762i | \(0.521297\pi\) | |||||||
\(380\) | −2.64440 | + | 11.5980i | −0.135655 | + | 0.594967i | ||||
\(381\) | 19.1038 | − | 3.12252i | 0.978717 | − | 0.159971i | ||||
\(382\) | 2.03647 | + | 13.5007i | 0.104195 | + | 0.690755i | ||||
\(383\) | 13.6082 | + | 11.4186i | 0.695347 | + | 0.583465i | 0.920446 | − | 0.390871i | \(-0.127826\pi\) |
−0.225099 | + | 0.974336i | \(0.572271\pi\) | |||||||
\(384\) | −16.8546 | − | 9.99617i | −0.860106 | − | 0.510115i | ||||
\(385\) | 9.10536 | + | 3.31408i | 0.464052 | + | 0.168901i | ||||
\(386\) | −7.73612 | + | 2.60018i | −0.393758 | + | 0.132345i | ||||
\(387\) | −5.53950 | − | 0.138689i | −0.281589 | − | 0.00704995i | ||||
\(388\) | −2.45871 | + | 1.86328i | −0.124822 | + | 0.0945936i | ||||
\(389\) | −10.4996 | + | 8.81024i | −0.532353 | + | 0.446697i | −0.868913 | − | 0.494965i | \(-0.835181\pi\) |
0.336560 | + | 0.941662i | \(0.390736\pi\) | |||||||
\(390\) | 7.03776 | + | 21.8403i | 0.356371 | + | 1.10593i | ||||
\(391\) | 0.511107 | + | 0.0901219i | 0.0258478 | + | 0.00455766i | ||||
\(392\) | 32.1951 | + | 31.3808i | 1.62610 | + | 1.58497i | ||||
\(393\) | −0.238613 | + | 19.0644i | −0.0120364 | + | 0.961669i | ||||
\(394\) | −9.80297 | − | 17.9964i | −0.493867 | − | 0.906646i | ||||
\(395\) | −19.4282 | − | 11.2169i | −0.977541 | − | 0.564383i | ||||
\(396\) | −0.527435 | + | 7.05039i | −0.0265046 | + | 0.354295i | ||||
\(397\) | 22.3133 | − | 12.8826i | 1.11987 | − | 0.646560i | 0.178505 | − | 0.983939i | \(-0.442874\pi\) |
0.941369 | + | 0.337379i | \(0.109540\pi\) | |||||||
\(398\) | −17.2283 | − | 10.5253i | −0.863575 | − | 0.527585i | ||||
\(399\) | 28.1829 | + | 5.33392i | 1.41091 | + | 0.267030i | ||||
\(400\) | −0.615467 | − | 8.16302i | −0.0307733 | − | 0.408151i | ||||
\(401\) | −3.91465 | − | 10.7554i | −0.195488 | − | 0.537100i | 0.802757 | − | 0.596306i | \(-0.203365\pi\) |
−0.998246 | + | 0.0592057i | \(0.981143\pi\) | |||||||
\(402\) | −4.50400 | + | 7.16910i | −0.224639 | + | 0.357562i | ||||
\(403\) | −5.97764 | − | 33.9009i | −0.297767 | − | 1.68872i | ||||
\(404\) | 4.54964 | + | 1.91662i | 0.226353 | + | 0.0953553i | ||||
\(405\) | −8.39413 | + | 12.9911i | −0.417108 | + | 0.645532i | ||||
\(406\) | −5.81010 | − | 1.17385i | −0.288350 | − | 0.0582572i | ||||
\(407\) | 1.29795 | + | 7.36104i | 0.0643370 | + | 0.364873i | ||||
\(408\) | 1.28081 | + | 1.82805i | 0.0634095 | + | 0.0905018i | ||||
\(409\) | −8.73375 | + | 3.17883i | −0.431856 | + | 0.157183i | −0.548796 | − | 0.835956i | \(-0.684914\pi\) |
0.116940 | + | 0.993139i | \(0.462691\pi\) | |||||||
\(410\) | 17.5931 | + | 22.0559i | 0.868860 | + | 1.08926i | ||||
\(411\) | 23.9885 | + | 4.54008i | 1.18327 | + | 0.223946i | ||||
\(412\) | 2.60145 | − | 2.80497i | 0.128164 | − | 0.138191i | ||||
\(413\) | −11.8709 | − | 20.5611i | −0.584130 | − | 1.01174i | ||||
\(414\) | 4.45325 | + | 1.87712i | 0.218865 | + | 0.0922554i | ||||
\(415\) | 15.9526 | + | 9.21021i | 0.783080 | + | 0.452111i | ||||
\(416\) | 29.4704 | + | 9.07206i | 1.44490 | + | 0.444795i | ||||
\(417\) | −9.64078 | − | 0.120666i | −0.472111 | − | 0.00590903i | ||||
\(418\) | 2.10647 | − | 5.36899i | 0.103031 | − | 0.262606i | ||||
\(419\) | 13.8643 | + | 2.44465i | 0.677314 | + | 0.119429i | 0.501715 | − | 0.865033i | \(-0.332703\pi\) |
0.175599 | + | 0.984462i | \(0.443814\pi\) | |||||||
\(420\) | 28.3061 | − | 3.19445i | 1.38120 | − | 0.155873i | ||||
\(421\) | −6.70587 | − | 7.99174i | −0.326824 | − | 0.389494i | 0.577464 | − | 0.816416i | \(-0.304042\pi\) |
−0.904288 | + | 0.426922i | \(0.859598\pi\) | |||||||
\(422\) | −19.2167 | − | 16.9550i | −0.935454 | − | 0.825354i | ||||
\(423\) | −3.48610 | − | 6.40304i | −0.169500 | − | 0.311327i | ||||
\(424\) | 34.2382 | + | 2.55406i | 1.66275 | + | 0.124036i | ||||
\(425\) | −0.318918 | + | 0.876221i | −0.0154698 | + | 0.0425030i | ||||
\(426\) | −13.2025 | + | 10.2634i | −0.639663 | + | 0.497263i | ||||
\(427\) | 25.9294 | + | 21.7574i | 1.25481 | + | 1.05291i | ||||
\(428\) | 1.67510 | − | 33.7179i | 0.0809692 | − | 1.62981i | ||||
\(429\) | −1.79459 | − | 10.9794i | −0.0866436 | − | 0.530092i | ||||
\(430\) | 4.48778 | + | 0.111408i | 0.216420 | + | 0.00537256i | ||||
\(431\) | 16.0211 | 0.771709 | 0.385855 | − | 0.922560i | \(-0.373907\pi\) | ||||
0.385855 | + | 0.922560i | \(0.373907\pi\) | |||||||
\(432\) | 7.84001 | + | 19.2493i | 0.377202 | + | 0.926131i | ||||
\(433\) | −8.60544 | −0.413551 | −0.206775 | − | 0.978388i | \(-0.566297\pi\) | ||||
−0.206775 | + | 0.978388i | \(0.566297\pi\) | |||||||
\(434\) | −42.7211 | − | 1.06054i | −2.05068 | − | 0.0509075i | ||||
\(435\) | −2.01821 | + | 1.65088i | −0.0967657 | + | 0.0791536i | ||||
\(436\) | 1.10978 | − | 22.3387i | 0.0531490 | − | 1.06983i | ||||
\(437\) | −3.01997 | − | 2.53405i | −0.144465 | − | 0.121220i | ||||
\(438\) | 0.272744 | + | 1.97547i | 0.0130322 | + | 0.0943918i | ||||
\(439\) | −3.25240 | + | 8.93590i | −0.155229 | + | 0.426487i | −0.992792 | − | 0.119854i | \(-0.961757\pi\) |
0.837563 | + | 0.546341i | \(0.183980\pi\) | |||||||
\(440\) | 0.426087 | − | 5.71187i | 0.0203129 | − | 0.272303i | ||||
\(441\) | −7.10259 | − | 47.1539i | −0.338219 | − | 2.24542i | ||||
\(442\) | −2.63372 | − | 2.32374i | −0.125273 | − | 0.110529i | ||||
\(443\) | −8.64715 | − | 10.3053i | −0.410838 | − | 0.489618i | 0.520454 | − | 0.853889i | \(-0.325763\pi\) |
−0.931293 | + | 0.364271i | \(0.881318\pi\) | |||||||
\(444\) | 13.0516 | + | 17.6777i | 0.619403 | + | 0.838948i | ||||
\(445\) | 13.7510 | + | 2.42467i | 0.651860 | + | 0.114941i | ||||
\(446\) | −4.72512 | + | 12.0434i | −0.223741 | + | 0.570273i | ||||
\(447\) | −13.1725 | + | 22.1699i | −0.623036 | + | 1.04860i | ||||
\(448\) | 18.2842 | − | 33.6301i | 0.863849 | − | 1.58887i | ||||
\(449\) | 8.35608 | + | 4.82439i | 0.394348 | + | 0.227677i | 0.684042 | − | 0.729442i | \(-0.260220\pi\) |
−0.289694 | + | 0.957119i | \(0.593554\pi\) | |||||||
\(450\) | −4.71068 | + | 7.29382i | −0.222064 | + | 0.343834i | ||||
\(451\) | −6.83934 | − | 11.8461i | −0.322052 | − | 0.557810i | ||||
\(452\) | −24.0956 | + | 25.9807i | −1.13336 | + | 1.22203i | ||||
\(453\) | 10.6766 | + | 30.5167i | 0.501629 | + | 1.43380i | ||||
\(454\) | −9.14364 | − | 11.4631i | −0.429132 | − | 0.537990i | ||||
\(455\) | −42.1206 | + | 15.3306i | −1.97464 | + | 0.718712i | ||||
\(456\) | −1.48267 | − | 16.8901i | −0.0694323 | − | 0.790953i | ||||
\(457\) | 2.34734 | + | 13.3124i | 0.109804 | + | 0.622730i | 0.989192 | + | 0.146624i | \(0.0468409\pi\) |
−0.879388 | + | 0.476106i | \(0.842048\pi\) | |||||||
\(458\) | −7.05653 | − | 1.42567i | −0.329730 | − | 0.0666174i | ||||
\(459\) | 0.0888704 | − | 2.36582i | 0.00414811 | − | 0.110427i | ||||
\(460\) | −3.60807 | − | 1.51996i | −0.168227 | − | 0.0708686i | ||||
\(461\) | 7.09030 | + | 40.2111i | 0.330228 | + | 1.87282i | 0.470050 | + | 0.882640i | \(0.344236\pi\) |
−0.139822 | + | 0.990177i | \(0.544653\pi\) | |||||||
\(462\) | −13.8013 | − | 0.515512i | −0.642093 | − | 0.0239838i | ||||
\(463\) | 7.18260 | + | 19.7340i | 0.333804 | + | 0.917118i | 0.987113 | + | 0.160027i | \(0.0511581\pi\) |
−0.653309 | + | 0.757091i | \(0.726620\pi\) | |||||||
\(464\) | 0.263431 | + | 3.49391i | 0.0122295 | + | 0.162201i | ||||
\(465\) | −12.2625 | + | 14.2478i | −0.568659 | + | 0.660728i | ||||
\(466\) | −11.4464 | − | 6.99295i | −0.530243 | − | 0.323942i | ||||
\(467\) | −25.7460 | + | 14.8645i | −1.19138 | + | 0.687846i | −0.958620 | − | 0.284688i | \(-0.908110\pi\) |
−0.232763 | + | 0.972533i | \(0.574777\pi\) | |||||||
\(468\) | −19.0951 | − | 26.5524i | −0.882673 | − | 1.22739i | ||||
\(469\) | −14.3230 | − | 8.26937i | −0.661373 | − | 0.381844i | ||||
\(470\) | 2.82532 | + | 5.18675i | 0.130322 | + | 0.239247i | ||||
\(471\) | −11.6404 | + | 6.52771i | −0.536360 | + | 0.300781i | ||||
\(472\) | −9.79575 | + | 10.0499i | −0.450886 | + | 0.462586i | ||||
\(473\) | −2.14344 | − | 0.377946i | −0.0985553 | − | 0.0173780i | ||||
\(474\) | 31.2602 | + | 6.72395i | 1.43583 | + | 0.308841i | ||||
\(475\) | 5.42588 | − | 4.55285i | 0.248956 | − | 0.208899i | ||||
\(476\) | −3.47508 | + | 2.63351i | −0.159280 | + | 0.120707i | ||||
\(477\) | −27.3017 | − | 24.0986i | −1.25006 | − | 1.10340i | ||||
\(478\) | −32.1482 | + | 10.8053i | −1.47042 | + | 0.494222i | ||||
\(479\) | −3.00899 | − | 1.09518i | −0.137484 | − | 0.0500401i | 0.272362 | − | 0.962195i | \(-0.412195\pi\) |
−0.409846 | + | 0.912155i | \(0.634417\pi\) | |||||||
\(480\) | −6.35478 | − | 15.5932i | −0.290055 | − | 0.711730i | ||||
\(481\) | −26.4874 | − | 22.2255i | −1.20772 | − | 1.01340i | ||||
\(482\) | −3.67075 | − | 24.3351i | −0.167198 | − | 1.10843i | ||||
\(483\) | −3.33955 | + | 8.82991i | −0.151955 | + | 0.401775i | ||||
\(484\) | 4.27326 | − | 18.7420i | 0.194239 | − | 0.851909i | ||||
\(485\) | −2.65086 | −0.120369 | ||||||||
\(486\) | 5.70856 | − | 21.2935i | 0.258945 | − | 0.965892i | ||||
\(487\) | 0.767571i | 0.0347819i | 0.999849 | + | 0.0173910i | \(0.00553600\pi\) | ||||
−0.999849 | + | 0.0173910i | \(0.994464\pi\) | |||||||
\(488\) | 8.22295 | − | 18.2405i | 0.372235 | − | 0.825710i | ||||
\(489\) | −7.88309 | − | 2.98146i | −0.356485 | − | 0.134826i | ||||
\(490\) | 5.76215 | + | 38.1999i | 0.260308 | + | 1.72570i | ||||
\(491\) | 10.2907 | − | 12.2639i | 0.464411 | − | 0.553463i | −0.482108 | − | 0.876112i | \(-0.660129\pi\) |
0.946519 | + | 0.322648i | \(0.104573\pi\) | |||||||
\(492\) | −33.5089 | − | 22.2306i | −1.51070 | − | 1.00223i | ||||
\(493\) | 0.136503 | − | 0.375038i | 0.00614777 | − | 0.0168909i | ||||
\(494\) | 8.49999 | + | 25.2894i | 0.382433 | + | 1.13782i | ||||
\(495\) | −4.02031 | + | 4.55467i | −0.180700 | + | 0.204717i | ||||
\(496\) | 6.24444 | + | 24.4769i | 0.280384 | + | 1.09905i | ||||
\(497\) | −20.9975 | − | 25.0238i | −0.941865 | − | 1.12247i | ||||
\(498\) | −25.6678 | − | 5.52105i | −1.15020 | − | 0.247404i | ||||
\(499\) | 4.92918 | − | 27.9548i | 0.220661 | − | 1.25143i | −0.650148 | − | 0.759807i | \(-0.725293\pi\) |
0.870809 | − | 0.491621i | \(-0.163596\pi\) | |||||||
\(500\) | 13.1358 | − | 20.3483i | 0.587449 | − | 0.910003i | ||||
\(501\) | −6.56871 | − | 11.7135i | −0.293468 | − | 0.523320i | ||||
\(502\) | 12.9635 | − | 7.06144i | 0.578588 | − | 0.315167i | ||||
\(503\) | 22.0465 | − | 38.1856i | 0.983004 | − | 1.70261i | 0.332515 | − | 0.943098i | \(-0.392103\pi\) |
0.650489 | − | 0.759516i | \(-0.274564\pi\) | |||||||
\(504\) | −37.0042 | + | 16.7078i | −1.64830 | + | 0.744223i | ||||
\(505\) | 2.12108 | + | 3.67381i | 0.0943867 | + | 0.163483i | ||||
\(506\) | 1.61983 | + | 0.989605i | 0.0720103 | + | 0.0439933i | ||||
\(507\) | 21.9402 | + | 18.8830i | 0.974400 | + | 0.838622i | ||||
\(508\) | 19.8880 | − | 10.2017i | 0.882387 | − | 0.452627i | ||||
\(509\) | −18.6141 | + | 6.77499i | −0.825057 | + | 0.300296i | −0.719828 | − | 0.694152i | \(-0.755780\pi\) |
−0.105228 | + | 0.994448i | \(0.533557\pi\) | |||||||
\(510\) | −0.0715919 | + | 1.91666i | −0.00317014 | + | 0.0848709i | ||||
\(511\) | −3.83637 | + | 0.676455i | −0.169711 | + | 0.0299246i | ||||
\(512\) | −22.0652 | − | 5.01250i | −0.975155 | − | 0.221523i | ||||
\(513\) | −9.57008 | + | 15.2257i | −0.422529 | + | 0.672232i | ||||
\(514\) | 28.4784 | + | 5.75366i | 1.25613 | + | 0.253783i | ||||
\(515\) | 3.23734 | − | 0.570831i | 0.142654 | − | 0.0251538i | ||||
\(516\) | −6.13692 | + | 1.81071i | −0.270163 | + | 0.0797121i | ||||
\(517\) | −0.979407 | − | 2.69090i | −0.0430743 | − | 0.118346i | ||||
\(518\) | −33.5564 | + | 26.7666i | −1.47438 | + | 1.17606i | ||||
\(519\) | −5.11095 | + | 1.78812i | −0.224346 | + | 0.0784897i | ||||
\(520\) | 15.4742 | + | 21.5079i | 0.678590 | + | 0.943182i | ||||
\(521\) | 21.7137 | − | 12.5364i | 0.951292 | − | 0.549229i | 0.0578103 | − | 0.998328i | \(-0.481588\pi\) |
0.893482 | + | 0.449099i | \(0.148255\pi\) | |||||||
\(522\) | 2.01625 | − | 3.12188i | 0.0882491 | − | 0.136641i | ||||
\(523\) | −1.30383 | + | 2.25830i | −0.0570126 | + | 0.0987487i | −0.893123 | − | 0.449812i | \(-0.851491\pi\) |
0.836110 | + | 0.548561i | \(0.184824\pi\) | |||||||
\(524\) | 6.49392 | + | 21.0358i | 0.283688 | + | 0.918953i | ||||
\(525\) | −14.5815 | − | 8.66374i | −0.636389 | − | 0.378117i | ||||
\(526\) | −33.3989 | − | 13.1037i | −1.45626 | − | 0.571349i | ||||
\(527\) | 0.499649 | − | 2.83365i | 0.0217651 | − | 0.123436i | ||||
\(528\) | 1.91892 | + | 7.93510i | 0.0835105 | + | 0.345331i | ||||
\(529\) | −16.6251 | + | 13.9501i | −0.722829 | + | 0.606526i | ||||
\(530\) | 22.1223 | + | 19.5185i | 0.960929 | + | 0.847831i | ||||
\(531\) | 14.7194 | − | 2.21713i | 0.638770 | − | 0.0962151i | ||||
\(532\) | 32.8625 | − | 4.12580i | 1.42477 | − | 0.178876i | ||||
\(533\) | 59.4603 | + | 21.6418i | 2.57551 | + | 0.937410i | ||||
\(534\) | −19.7148 | + | 2.72193i | −0.853144 | + | 0.117790i | ||||
\(535\) | 18.6465 | − | 22.2221i | 0.806160 | − | 0.960744i | ||||
\(536\) | −2.40914 | + | 9.47481i | −0.104059 | + | 0.409249i | ||||
\(537\) | −12.3145 | − | 15.0545i | −0.531408 | − | 0.649649i | ||||
\(538\) | −28.0073 | − | 0.695272i | −1.20748 | − | 0.0299753i | ||||
\(539\) | − | 18.7302i | − | 0.806765i | ||||||
\(540\) | −4.62107 | + | 17.2516i | −0.198859 | + | 0.742392i | ||||
\(541\) | − | 5.42107i | − | 0.233070i | −0.993187 | − | 0.116535i | \(-0.962821\pi\) | ||
0.993187 | − | 0.116535i | \(-0.0371787\pi\) | |||||||
\(542\) | −0.426142 | + | 17.1661i | −0.0183044 | + | 0.737346i | ||||
\(543\) | −25.4947 | + | 4.16710i | −1.09408 | + | 0.178828i | ||||
\(544\) | 2.05541 | + | 1.55508i | 0.0881250 | + | 0.0666733i | ||||
\(545\) | 12.3536 | − | 14.7225i | 0.529172 | − | 0.630642i | ||||
\(546\) | 50.4398 | − | 39.2110i | 2.15862 | − | 1.67808i | ||||
\(547\) | 6.73827 | + | 2.45253i | 0.288107 | + | 0.104863i | 0.482031 | − | 0.876154i | \(-0.339899\pi\) |
−0.193924 | + | 0.981017i | \(0.562121\pi\) | |||||||
\(548\) | 27.9717 | − | 3.51177i | 1.19489 | − | 0.150015i | ||||
\(549\) | −18.6387 | + | 10.1477i | −0.795478 | + | 0.433094i | ||||
\(550\) | −2.25635 | + | 2.55734i | −0.0962110 | + | 0.109045i | ||||
\(551\) | −2.32237 | + | 1.94870i | −0.0989363 | + | 0.0830174i | ||||
\(552\) | 5.55923 | + | 0.484733i | 0.236617 | + | 0.0206316i | ||||
\(553\) | −10.8463 | + | 61.5123i | −0.461231 | + | 2.61577i | ||||
\(554\) | −2.70653 | + | 6.89843i | −0.114989 | + | 0.293086i | ||||
\(555\) | −0.236308 | + | 18.8802i | −0.0100307 | + | 0.801418i | ||||
\(556\) | −10.6377 | + | 3.28395i | −0.451140 | + | 0.139271i | ||||
\(557\) | −5.53410 | + | 9.58535i | −0.234487 | + | 0.406144i | −0.959124 | − | 0.282987i | \(-0.908675\pi\) |
0.724636 | + | 0.689132i | \(0.242008\pi\) | |||||||
\(558\) | 10.4070 | − | 24.6895i | 0.440565 | − | 1.04519i | ||||
\(559\) | 8.71941 | − | 5.03415i | 0.368792 | − | 0.212922i | ||||
\(560\) | 29.9756 | − | 13.5419i | 1.26670 | − | 0.572251i | ||||
\(561\) | 0.172925 | − | 0.913689i | 0.00730092 | − | 0.0385760i | ||||
\(562\) | 0.998513 | + | 1.25180i | 0.0421197 | + | 0.0528042i | ||||
\(563\) | 5.06217 | + | 13.9082i | 0.213345 | + | 0.586160i | 0.999492 | − | 0.0318795i | \(-0.0101493\pi\) |
−0.786147 | + | 0.618040i | \(0.787927\pi\) | |||||||
\(564\) | −6.10028 | − | 5.80135i | −0.256868 | − | 0.244281i | ||||
\(565\) | −29.9855 | + | 5.28726i | −1.26150 | + | 0.222437i | ||||
\(566\) | −1.99929 | + | 9.89572i | −0.0840365 | + | 0.415948i | ||||
\(567\) | 41.9825 | + | 9.59088i | 1.76310 | + | 0.402779i | ||||
\(568\) | −10.8720 | + | 15.9580i | −0.456179 | + | 0.669582i | ||||
\(569\) | 44.3139 | − | 7.81374i | 1.85774 | − | 0.327569i | 0.871176 | − | 0.490970i | \(-0.163358\pi\) |
0.986560 | + | 0.163401i | \(0.0522466\pi\) | |||||||
\(570\) | 7.75047 | − | 12.3366i | 0.324631 | − | 0.516722i | ||||
\(571\) | −36.4607 | + | 13.2706i | −1.52583 | + | 0.555357i | −0.962596 | − | 0.270939i | \(-0.912666\pi\) |
−0.563235 | + | 0.826296i | \(0.690444\pi\) | |||||||
\(572\) | −5.86317 | − | 11.4301i | −0.245151 | − | 0.477918i | ||||
\(573\) | 3.10961 | − | 16.4303i | 0.129906 | − | 0.686385i | ||||
\(574\) | 40.9523 | − | 67.0325i | 1.70931 | − | 2.79788i | ||||
\(575\) | 1.16559 | + | 2.01886i | 0.0486084 | + | 0.0841923i | ||||
\(576\) | 15.4376 | + | 18.3760i | 0.643235 | + | 0.765669i | ||||
\(577\) | −8.27041 | + | 14.3248i | −0.344302 | + | 0.596348i | −0.985227 | − | 0.171256i | \(-0.945218\pi\) |
0.640925 | + | 0.767603i | \(0.278551\pi\) | |||||||
\(578\) | 11.3600 | + | 20.8548i | 0.472512 | + | 0.867444i | ||||
\(579\) | 9.99485 | + | 0.125097i | 0.415372 | + | 0.00519887i | ||||
\(580\) | −1.63291 | + | 2.52950i | −0.0678029 | + | 0.105032i | ||||
\(581\) | 8.90589 | − | 50.5078i | 0.369479 | − | 2.09542i | ||||
\(582\) | 3.59620 | − | 1.15883i | 0.149067 | − | 0.0480350i | ||||
\(583\) | −9.19416 | − | 10.9572i | −0.380783 | − | 0.453800i | ||||
\(584\) | 0.999820 | + | 2.07434i | 0.0413728 | + | 0.0858367i | ||||
\(585\) | 0.703383 | − | 28.0945i | 0.0290813 | − | 1.16156i | ||||
\(586\) | 3.37177 | − | 1.13328i | 0.139286 | − | 0.0468154i | ||||
\(587\) | −3.92702 | + | 10.7894i | −0.162085 | + | 0.445326i | −0.993974 | − | 0.109617i | \(-0.965038\pi\) |
0.831888 | + | 0.554943i | \(0.187260\pi\) | |||||||
\(588\) | −24.5163 | − | 49.3038i | −1.01103 | − | 2.03326i | ||||
\(589\) | −14.0492 | + | 16.7431i | −0.578886 | + | 0.689889i | ||||
\(590\) | −11.9244 | + | 1.79870i | −0.490920 | + | 0.0740513i | ||||
\(591\) | 4.04869 | + | 24.7702i | 0.166541 | + | 1.01891i | ||||
\(592\) | 20.6081 | + | 14.8020i | 0.846989 | + | 0.608360i | ||||
\(593\) | 28.6932i | 1.17829i | 0.808028 | + | 0.589145i | \(0.200535\pi\) | ||||
−0.808028 | + | 0.589145i | \(0.799465\pi\) | |||||||
\(594\) | 3.46295 | − | 7.93645i | 0.142086 | − | 0.325636i | ||||
\(595\) | −3.74666 | −0.153598 | ||||||||
\(596\) | −6.61948 | + | 29.0323i | −0.271144 | + | 1.18921i | ||||
\(597\) | 15.6555 | + | 19.1389i | 0.640737 | + | 0.783304i | ||||
\(598\) | −8.68269 | + | 1.30971i | −0.355062 | + | 0.0535582i | ||||
\(599\) | −10.2334 | − | 8.58682i | −0.418124 | − | 0.350848i | 0.409325 | − | 0.912389i | \(-0.365764\pi\) |
−0.827449 | + | 0.561541i | \(0.810209\pi\) | |||||||
\(600\) | −2.59209 | + | 9.68512i | −0.105822 | + | 0.395393i | ||||
\(601\) | −18.0827 | − | 6.58157i | −0.737610 | − | 0.268468i | −0.0542273 | − | 0.998529i | \(-0.517270\pi\) |
−0.683382 | + | 0.730061i | \(0.739492\pi\) | |||||||
\(602\) | −3.98210 | − | 11.8476i | −0.162298 | − | 0.482874i | ||||
\(603\) | 8.10770 | − | 6.46438i | 0.330171 | − | 0.263250i | ||||
\(604\) | 22.5480 | + | 29.7534i | 0.917464 | + | 1.21065i | ||||
\(605\) | 12.6535 | − | 10.6175i | 0.514437 | − | 0.431664i | ||||
\(606\) | −4.48351 | − | 4.05673i | −0.182130 | − | 0.164794i | ||||
\(607\) | 33.3808 | + | 5.88593i | 1.35488 | + | 0.238903i | 0.803478 | − | 0.595334i | \(-0.202980\pi\) |
0.551406 | + | 0.834237i | \(0.314092\pi\) | |||||||
\(608\) | −7.61505 | − | 18.0364i | −0.308831 | − | 0.731472i | ||||
\(609\) | 6.24113 | + | 3.70823i | 0.252904 | + | 0.150265i | ||||
\(610\) | 15.0981 | − | 8.22423i | 0.611306 | − | 0.332989i | ||||
\(611\) | 11.4720 | + | 6.62337i | 0.464108 | + | 0.267953i | ||||
\(612\) | −0.740749 | − | 2.63147i | −0.0299430 | − | 0.106371i | ||||
\(613\) | −5.44638 | + | 3.14447i | −0.219977 | + | 0.127004i | −0.605940 | − | 0.795511i | \(-0.707203\pi\) |
0.385963 | + | 0.922514i | \(0.373869\pi\) | |||||||
\(614\) | 8.42525 | − | 13.7908i | 0.340016 | − | 0.556553i | ||||
\(615\) | −11.4108 | − | 32.6153i | −0.460128 | − | 1.31518i | ||||
\(616\) | −15.3499 | + | 4.32445i | −0.618466 | + | 0.174237i | ||||
\(617\) | −9.83236 | − | 27.0142i | −0.395836 | − | 1.08755i | −0.964293 | − | 0.264838i | \(-0.914682\pi\) |
0.568457 | − | 0.822713i | \(-0.307541\pi\) | |||||||
\(618\) | −4.14230 | + | 2.18961i | −0.166628 | + | 0.0880792i | ||||
\(619\) | −1.65721 | − | 9.39848i | −0.0666087 | − | 0.377757i | −0.999830 | − | 0.0184539i | \(-0.994126\pi\) |
0.933221 | − | 0.359303i | \(-0.116986\pi\) | |||||||
\(620\) | −8.42689 | + | 20.0037i | −0.338432 | + | 0.803366i | ||||
\(621\) | −4.38808 | − | 3.97207i | −0.176087 | − | 0.159394i | ||||
\(622\) | −3.21153 | + | 15.8958i | −0.128771 | + | 0.637365i | ||||
\(623\) | −6.75089 | − | 38.2862i | −0.270469 | − | 1.53390i | ||||
\(624\) | −30.3949 | − | 22.4134i | −1.21677 | − | 0.897254i | ||||
\(625\) | 9.94093 | − | 3.61820i | 0.397637 | − | 0.144728i | ||||
\(626\) | −8.88578 | + | 7.08783i | −0.355147 | + | 0.283287i | ||||
\(627\) | −4.60778 | + | 5.35381i | −0.184017 | + | 0.213811i | ||||
\(628\) | −10.4791 | + | 11.2990i | −0.418163 | + | 0.450878i | ||||
\(629\) | −1.44507 | − | 2.50294i | −0.0576189 | − | 0.0997989i | ||||
\(630\) | −34.0133 | − | 7.76274i | −1.35512 | − | 0.309275i | ||||
\(631\) | −18.9384 | − | 10.9341i | −0.753925 | − | 0.435279i | 0.0731856 | − | 0.997318i | \(-0.476683\pi\) |
−0.827110 | + | 0.562040i | \(0.810017\pi\) | |||||||
\(632\) | 36.7371 | − | 3.68875i | 1.46132 | − | 0.146731i | ||||
\(633\) | 15.3520 | + | 27.3760i | 0.610186 | + | 1.08810i | ||||
\(634\) | 15.0517 | + | 5.90538i | 0.597779 | + | 0.234532i | ||||
\(635\) | 18.9147 | + | 3.33518i | 0.750609 | + | 0.132353i | ||||
\(636\) | −38.5441 | − | 16.8084i | −1.52837 | − | 0.666497i | ||||
\(637\) | 55.6937 | + | 66.3732i | 2.20667 | + | 2.62980i | ||||
\(638\) | 0.965756 | − | 1.09459i | 0.0382346 | − | 0.0433351i | ||||
\(639\) | 19.4150 | − | 6.52097i | 0.768045 | − | 0.257966i | ||||
\(640\) | −12.5098 | − | 14.8845i | −0.494492 | − | 0.588361i | ||||
\(641\) | 5.37663 | − | 14.7722i | 0.212364 | − | 0.583466i | −0.787078 | − | 0.616853i | \(-0.788407\pi\) |
0.999442 | + | 0.0333872i | \(0.0106295\pi\) | |||||||
\(642\) | −15.5818 | + | 38.2983i | −0.614965 | + | 1.51151i | ||||
\(643\) | 21.2643 | + | 17.8429i | 0.838584 | + | 0.703655i | 0.957245 | − | 0.289280i | \(-0.0934157\pi\) |
−0.118661 | + | 0.992935i | \(0.537860\pi\) | |||||||
\(644\) | −0.540883 | + | 10.8873i | −0.0213138 | + | 0.429021i | ||||
\(645\) | −5.14257 | − | 1.94497i | −0.202488 | − | 0.0765830i | ||||
\(646\) | −0.0553434 | + | 2.22937i | −0.00217746 | + | 0.0877133i | ||||
\(647\) | −1.38696 | −0.0545272 | −0.0272636 | − | 0.999628i | \(-0.508679\pi\) | ||||
−0.0272636 | + | 0.999628i | \(0.508679\pi\) | |||||||
\(648\) | −1.27257 | − | 25.4240i | −0.0499911 | − | 0.998750i | ||||
\(649\) | 5.84676 | 0.229505 | ||||||||
\(650\) | 0.391523 | − | 15.7715i | 0.0153568 | − | 0.618610i | ||||
\(651\) | 48.9543 | + | 18.5150i | 1.91867 | + | 0.725659i | ||||
\(652\) | −9.71989 | − | 0.482884i | −0.380660 | − | 0.0189112i | ||||
\(653\) | 5.23172 | + | 4.38994i | 0.204733 | + | 0.171792i | 0.739389 | − | 0.673278i | \(-0.235114\pi\) |
−0.534656 | + | 0.845070i | \(0.679559\pi\) | |||||||
\(654\) | −10.3232 | + | 25.3733i | −0.403669 | + | 0.992173i | ||||
\(655\) | −6.47012 | + | 17.7765i | −0.252808 | + | 0.694586i | ||||
\(656\) | −44.7036 | − | 12.5557i | −1.74538 | − | 0.490218i | ||||
\(657\) | 0.484187 | − | 2.39393i | 0.0188899 | − | 0.0933960i | ||||
\(658\) | 10.8798 | − | 12.3312i | 0.424140 | − | 0.480719i | ||||
\(659\) | −16.7924 | − | 20.0124i | −0.654141 | − | 0.779574i | 0.332392 | − | 0.943141i | \(-0.392144\pi\) |
−0.986532 | + | 0.163567i | \(0.947700\pi\) | |||||||
\(660\) | −2.80410 | + | 6.43021i | −0.109150 | + | 0.250295i | ||||
\(661\) | 11.4759 | + | 2.02351i | 0.446361 | + | 0.0787056i | 0.392311 | − | 0.919833i | \(-0.371676\pi\) |
0.0540505 | + | 0.998538i | \(0.482787\pi\) | |||||||
\(662\) | −0.995978 | − | 0.390762i | −0.0387098 | − | 0.0151874i | ||||
\(663\) | 2.10405 | + | 3.75199i | 0.0817144 | + | 0.145715i | ||||
\(664\) | −30.1648 | + | 3.02884i | −1.17062 | + | 0.117542i | ||||
\(665\) | 24.6469 | + | 14.2299i | 0.955767 | + | 0.551812i | ||||
\(666\) | −7.93294 | − | 25.7165i | −0.307395 | − | 0.996494i | ||||
\(667\) | −0.498893 | − | 0.864107i | −0.0193172 | − | 0.0334584i | ||||
\(668\) | −11.3699 | − | 10.5450i | −0.439916 | − | 0.407996i | ||||
\(669\) | 10.3359 | − | 12.0094i | 0.399610 | − | 0.464309i | ||||
\(670\) | −6.56725 | + | 5.23842i | −0.253715 | + | 0.202378i | ||||
\(671\) | −7.83295 | + | 2.85096i | −0.302388 | + | 0.110060i | ||||
\(672\) | −34.7456 | + | 31.4752i | −1.34034 | + | 1.21418i | ||||
\(673\) | 6.57735 | + | 37.3020i | 0.253538 | + | 1.43789i | 0.799797 | + | 0.600271i | \(0.204940\pi\) |
−0.546259 | + | 0.837617i | \(0.683948\pi\) | |||||||
\(674\) | 3.73519 | − | 18.4878i | 0.143874 | − | 0.712122i | ||||
\(675\) | 8.39709 | − | 6.52490i | 0.323204 | − | 0.251144i | ||||
\(676\) | 30.8036 | + | 12.9766i | 1.18475 | + | 0.499099i | ||||
\(677\) | −7.47059 | − | 42.3678i | −0.287118 | − | 1.62833i | −0.697620 | − | 0.716468i | \(-0.745758\pi\) |
0.410502 | − | 0.911860i | \(-0.365354\pi\) | |||||||
\(678\) | 38.3676 | − | 20.2811i | 1.47350 | − | 0.778889i | ||||
\(679\) | 2.52433 | + | 6.93553i | 0.0968748 | + | 0.266161i | ||||
\(680\) | 0.600559 | + | 2.13173i | 0.0230304 | + | 0.0817480i | ||||
\(681\) | 5.93054 | + | 16.9512i | 0.227259 | + | 0.649570i | ||||
\(682\) | 5.48652 | − | 8.98058i | 0.210090 | − | 0.343884i | ||||
\(683\) | 15.8827 | − | 9.16986i | 0.607733 | − | 0.350875i | −0.164345 | − | 0.986403i | \(-0.552551\pi\) |
0.772078 | + | 0.635528i | \(0.219218\pi\) | |||||||
\(684\) | −5.12147 | + | 20.1242i | −0.195824 | + | 0.769467i | ||||
\(685\) | 20.9788 | + | 12.1121i | 0.801558 | + | 0.462780i | ||||
\(686\) | 52.8596 | − | 28.7936i | 2.01819 | − | 1.09935i | ||||
\(687\) | 7.58004 | + | 4.50376i | 0.289197 | + | 0.171829i | ||||
\(688\) | −6.10262 | + | 4.16476i | −0.232660 | + | 0.158780i | ||||
\(689\) | 65.1619 | + | 11.4898i | 2.48247 | + | 0.437726i | ||||
\(690\) | 3.55563 | + | 3.21717i | 0.135360 | + | 0.122476i | ||||
\(691\) | −14.5270 | + | 12.1896i | −0.552634 | + | 0.463715i | −0.875832 | − | 0.482617i | \(-0.839686\pi\) |
0.323198 | + | 0.946331i | \(0.395242\pi\) | |||||||
\(692\) | −4.98312 | + | 3.77635i | −0.189430 | + | 0.143555i | ||||
\(693\) | 15.7450 | + | 6.18122i | 0.598102 | + | 0.234805i | ||||
\(694\) | 8.32198 | + | 24.7598i | 0.315898 | + | 0.939869i | ||||
\(695\) | −8.98952 | − | 3.27192i | −0.340992 | − | 0.124111i | ||||
\(696\) | 1.10946 | − | 4.14540i | 0.0420539 | − | 0.157131i | ||||
\(697\) | 4.05164 | + | 3.39973i | 0.153467 | + | 0.128774i | ||||
\(698\) | 2.84054 | − | 0.428473i | 0.107516 | − | 0.0162179i | ||||
\(699\) | 10.4014 | + | 12.7158i | 0.393418 | + | 0.480956i | ||||
\(700\) | −19.0950 | − | 4.35374i | −0.721723 | − | 0.164556i | ||||
\(701\) | −34.7772 | −1.31352 | −0.656759 | − | 0.754101i | \(-0.728073\pi\) | ||||
−0.656759 | + | 0.754101i | \(0.728073\pi\) | |||||||
\(702\) | 11.3274 | + | 38.4210i | 0.427524 | + | 1.45011i | ||||
\(703\) | 21.9537i | 0.828001i | ||||||||
\(704\) | 4.92094 | + | 8.04043i | 0.185465 | + | 0.303035i | ||||
\(705\) | −1.16687 | − | 7.13902i | −0.0439470 | − | 0.268871i | ||||
\(706\) | −21.0258 | + | 3.17158i | −0.791317 | + | 0.119364i | ||||
\(707\) | 7.59210 | − | 9.04791i | 0.285530 | − | 0.340282i | ||||
\(708\) | 15.3906 | − | 7.65294i | 0.578413 | − | 0.287615i | ||||
\(709\) | 9.57106 | − | 26.2963i | 0.359449 | − | 0.987578i | −0.619772 | − | 0.784782i | \(-0.712775\pi\) |
0.979221 | − | 0.202796i | \(-0.0650028\pi\) | |||||||
\(710\) | −15.7277 | + | 5.28621i | −0.590250 | + | 0.198388i | ||||
\(711\) | −33.4141 | − | 20.4234i | −1.25313 | − | 0.765939i | ||||
\(712\) | −20.7015 | + | 9.97800i | −0.775820 | + | 0.373941i | ||||
\(713\) | −4.62392 | − | 5.51057i | −0.173167 | − | 0.206372i | ||||
\(714\) | 5.08279 | − | 1.63786i | 0.190219 | − | 0.0612955i | ||||
\(715\) | 1.91681 | − | 10.8708i | 0.0716847 | − | 0.406544i | ||||
\(716\) | −18.8684 | − | 12.1804i | −0.705144 | − | 0.455203i | ||||
\(717\) | 41.5346 | + | 0.519855i | 1.55114 | + | 0.0194143i | ||||
\(718\) | 9.13870 | + | 16.7769i | 0.341053 | + | 0.626109i | ||||
\(719\) | 7.82104 | − | 13.5464i | 0.291676 | − | 0.505197i | −0.682530 | − | 0.730857i | \(-0.739121\pi\) |
0.974206 | + | 0.225660i | \(0.0724539\pi\) | |||||||
\(720\) | 1.03531 | + | 20.5967i | 0.0385837 | + | 0.767595i | ||||
\(721\) | −4.57631 | − | 7.92639i | −0.170431 | − | 0.295194i | ||||
\(722\) | −5.17712 | + | 8.47414i | −0.192672 | + | 0.315375i | ||||
\(723\) | −5.60509 | + | 29.6157i | −0.208456 | + | 1.10142i | ||||
\(724\) | −26.5412 | + | 13.6145i | −0.986396 | + | 0.505979i | ||||
\(725\) | 1.68458 | − | 0.613135i | 0.0625636 | − | 0.0227713i | ||||
\(726\) | −12.5245 | + | 19.9355i | −0.464827 | + | 0.739874i | ||||
\(727\) | 22.5584 | − | 3.97765i | 0.836643 | − | 0.147523i | 0.261118 | − | 0.965307i | \(-0.415909\pi\) |
0.575525 | + | 0.817784i | \(0.304798\pi\) | |||||||
\(728\) | 41.5362 | − | 60.9671i | 1.53943 | − | 2.25959i | ||||
\(729\) | −15.2162 | + | 22.3040i | −0.563562 | + | 0.826073i | ||||
\(730\) | −0.391848 | + | 1.93949i | −0.0145029 | + | 0.0717839i | ||||
\(731\) | 0.828788 | − | 0.146138i | 0.0306538 | − | 0.00540510i | ||||
\(732\) | −16.8872 | + | 17.7574i | −0.624168 | + | 0.656331i | ||||
\(733\) | −14.5646 | − | 40.0158i | −0.537954 | − | 1.47802i | −0.849398 | − | 0.527753i | \(-0.823035\pi\) |
0.311444 | − | 0.950265i | \(-0.399188\pi\) | |||||||
\(734\) | 26.3496 | + | 33.0337i | 0.972583 | + | 1.21930i | ||||
\(735\) | 8.79858 | − | 46.4891i | 0.324540 | − | 1.71478i | ||||
\(736\) | 6.28123 | − | 1.43741i | 0.231529 | − | 0.0529836i | ||||
\(737\) | 3.52723 | − | 2.03645i | 0.129927 | − | 0.0750134i | ||||
\(738\) | 29.7380 | + | 39.2583i | 1.09467 | + | 1.44512i | ||||
\(739\) | 16.7732 | − | 29.0520i | 0.617011 | − | 1.06870i | −0.373017 | − | 0.927825i | \(-0.621677\pi\) |
0.990028 | − | 0.140871i | \(-0.0449901\pi\) | |||||||
\(740\) | 6.43118 | + | 20.8326i | 0.236415 | + | 0.765820i | ||||
\(741\) | 0.408944 | − | 32.6732i | 0.0150229 | − | 1.20028i | ||||
\(742\) | 30.0007 | − | 76.4661i | 1.10136 | − | 2.80716i | ||||
\(743\) | −3.95562 | + | 22.4334i | −0.145118 | + | 0.823002i | 0.822155 | + | 0.569263i | \(0.192772\pi\) |
−0.967273 | + | 0.253739i | \(0.918340\pi\) | |||||||
\(744\) | 2.68743 | − | 30.8212i | 0.0985260 | − | 1.12996i | ||||
\(745\) | −19.6009 | + | 16.4471i | −0.718120 | + | 0.602574i | ||||
\(746\) | −1.86657 | + | 2.11556i | −0.0683399 | + | 0.0774562i | ||||
\(747\) | 27.4364 | + | 16.7697i | 1.00384 | + | 0.613572i | ||||
\(748\) | −0.133758 | − | 1.06540i | −0.00489069 | − | 0.0389550i | ||||
\(749\) | −75.8969 | − | 27.6242i | −2.77321 | − | 1.00937i | ||||
\(750\) | −23.4191 | + | 18.2056i | −0.855146 | + | 0.664776i | ||||
\(751\) | −25.7667 | + | 30.7076i | −0.940242 | + | 1.12054i | 0.0522997 | + | 0.998631i | \(0.483345\pi\) |
−0.992542 | + | 0.121905i | \(0.961100\pi\) | |||||||
\(752\) | −8.75997 | − | 4.21367i | −0.319443 | − | 0.153657i | ||||
\(753\) | −17.8429 | + | 2.91642i | −0.650230 | + | 0.106280i | ||||
\(754\) | −0.167579 | + | 6.75049i | −0.00610286 | + | 0.245838i | ||||
\(755\) | 32.0786i | 1.16746i | ||||||||
\(756\) | 49.5366 | − | 4.33791i | 1.80163 | − | 0.157768i | ||||
\(757\) | − | 18.0630i | − | 0.656512i | −0.944589 | − | 0.328256i | \(-0.893539\pi\) | ||
0.944589 | − | 0.328256i | \(-0.106461\pi\) | |||||||
\(758\) | 3.68031 | + | 0.0913626i | 0.133675 | + | 0.00331844i | ||||
\(759\) | −1.47196 | − | 1.79947i | −0.0534286 | − | 0.0653167i | ||||
\(760\) | 4.14565 | − | 16.3042i | 0.150378 | − | 0.591417i | ||||
\(761\) | 6.35846 | − | 7.57772i | 0.230494 | − | 0.274692i | −0.638384 | − | 0.769718i | \(-0.720397\pi\) |
0.868878 | + | 0.495026i | \(0.164841\pi\) | |||||||
\(762\) | −27.1181 | + | 3.74407i | −0.982385 | + | 0.135633i | ||||
\(763\) | −50.2830 | − | 18.3015i | −1.82037 | − | 0.662559i | ||||
\(764\) | −2.40529 | − | 19.1585i | −0.0870203 | − | 0.693128i | ||||
\(765\) | 0.858419 | − | 2.18659i | 0.0310362 | − | 0.0790562i | ||||
\(766\) | −18.8382 | − | 16.6210i | −0.680653 | − | 0.600542i | ||||
\(767\) | −20.7189 | + | 17.3852i | −0.748116 | + | 0.627744i | ||||
\(768\) | 23.4778 | + | 14.7239i | 0.847182 | + | 0.531303i | ||||
\(769\) | −2.24867 | + | 12.7528i | −0.0810890 | + | 0.459879i | 0.917043 | + | 0.398788i | \(0.130569\pi\) |
−0.998132 | + | 0.0610908i | \(0.980542\pi\) | |||||||
\(770\) | −12.7566 | − | 5.00494i | −0.459718 | − | 0.180366i | ||||
\(771\) | −30.5911 | − | 18.1760i | −1.10171 | − | 0.654594i | ||||
\(772\) | 11.0284 | − | 3.40456i | 0.396921 | − | 0.122533i | ||||
\(773\) | 11.3665 | − | 19.6874i | 0.408825 | − | 0.708106i | −0.585933 | − | 0.810359i | \(-0.699272\pi\) |
0.994758 | + | 0.102254i | \(0.0326053\pi\) | |||||||
\(774\) | 7.82676 | + | 0.390493i | 0.281327 | + | 0.0140360i | ||||
\(775\) | 11.1929 | − | 6.46220i | 0.402059 | − | 0.232129i | ||||
\(776\) | 3.54146 | − | 2.54797i | 0.127131 | − | 0.0914668i | ||||
\(777\) | 49.6219 | − | 17.3607i | 1.78018 | − | 0.622813i | ||||
\(778\) | 15.1534 | − | 12.0872i | 0.543274 | − | 0.433348i | ||||
\(779\) | −13.7409 | − | 37.7529i | −0.492320 | − | 1.35264i | ||||
\(780\) | −9.18331 | − | 31.1244i | −0.328815 | − | 1.11443i | ||||
\(781\) | 7.92230 | − | 1.39692i | 0.283482 | − | 0.0499856i | ||||
\(782\) | −0.719428 | − | 0.145350i | −0.0257267 | − | 0.00519772i | ||||
\(783\) | −3.59410 | + | 2.79277i | −0.128443 | + | 0.0998055i | ||||
\(784\) | −44.4153 | − | 45.4954i | −1.58626 | − | 1.62484i | ||||
\(785\) | −13.0406 | + | 2.29942i | −0.465441 | + | 0.0820697i | ||||
\(786\) | 1.00644 | − | 26.9444i | 0.0358985 | − | 0.961075i | ||||
\(787\) | −19.7167 | + | 7.17628i | −0.702823 | + | 0.255807i | −0.668616 | − | 0.743608i | \(-0.733113\pi\) |
−0.0342072 | + | 0.999415i | \(0.510891\pi\) | |||||||
\(788\) | 13.2276 | + | 25.7870i | 0.471214 | + | 0.918623i | ||||
\(789\) | 33.3044 | + | 28.6636i | 1.18567 | + | 1.02045i | ||||
\(790\) | 27.0735 | + | 16.5401i | 0.963233 | + | 0.588469i | ||||
\(791\) | 42.3875 | + | 73.4173i | 1.50713 | + | 2.61042i | ||||
\(792\) | 0.993120 | − | 9.94917i | 0.0352890 | − | 0.353528i | ||||
\(793\) | 19.2800 | − | 33.3939i | 0.684653 | − | 1.18585i | ||||
\(794\) | −31.9982 | + | 17.4300i | −1.13558 | + | 0.618569i | ||||
\(795\) | −17.6732 | − | 31.5152i | −0.626803 | − | 1.11773i | ||||
\(796\) | 23.9875 | + | 15.4851i | 0.850216 | + | 0.548854i | ||||
\(797\) | −5.29392 | + | 30.0233i | −0.187520 | + | 1.06348i | 0.735154 | + | 0.677900i | \(0.237110\pi\) |
−0.922674 | + | 0.385580i | \(0.874001\pi\) | |||||||
\(798\) | −39.6572 | − | 8.53010i | −1.40385 | − | 0.301962i | ||||
\(799\) | 0.711724 | + | 0.848200i | 0.0251790 | + | 0.0300071i | ||||
\(800\) | 0.583639 | + | 11.5623i | 0.0206348 | + | 0.408789i | ||||
\(801\) | 23.8909 | + | 4.83209i | 0.844144 | + | 0.170733i | ||||
\(802\) | 5.15697 | + | 15.3432i | 0.182099 | + | 0.541786i | ||||
\(803\) | 0.328111 | − | 0.901478i | 0.0115788 | − | 0.0318125i | ||||
\(804\) | 6.61926 | − | 9.97744i | 0.233443 | − | 0.351877i | ||||
\(805\) | −6.02087 | + | 7.17540i | −0.212208 | + | 0.252899i | ||||
\(806\) | 7.26125 | + | 48.1381i | 0.255767 | + | 1.69559i | ||||
\(807\) | 32.0937 | + | 12.1381i | 1.12975 | + | 0.427282i | ||||
\(808\) | −6.36492 | − | 2.86935i | −0.223917 | − | 0.100943i | ||||
\(809\) | − | 12.1921i | − | 0.428652i | −0.976762 | − | 0.214326i | \(-0.931244\pi\) | ||
0.976762 | − | 0.214326i | \(-0.0687555\pi\) | |||||||
\(810\) | 12.3234 | − | 18.0719i | 0.433000 | − | 0.634982i | ||||
\(811\) | −32.9198 | −1.15597 | −0.577985 | − | 0.816048i | \(-0.696161\pi\) | ||||
−0.577985 | + | 0.816048i | \(0.696161\pi\) | |||||||
\(812\) | 8.17299 | + | 1.86348i | 0.286816 | + | 0.0653952i | ||||
\(813\) | 7.43963 | − | 19.6707i | 0.260919 | − | 0.689881i | ||||
\(814\) | −1.57666 | − | 10.4524i | −0.0552621 | − | 0.366357i | ||||
\(815\) | −6.40598 | − | 5.37526i | −0.224392 | − | 0.188287i | ||||
\(816\) | −1.74662 | − | 2.62941i | −0.0611440 | − | 0.0920476i | ||||
\(817\) | −6.00711 | − | 2.18641i | −0.210162 | − | 0.0764928i | ||||
\(818\) | 12.4592 | − | 4.18763i | 0.435624 | − | 0.146417i | ||||
\(819\) | −74.1745 | + | 24.9132i | −2.59187 | + | 0.870538i | ||||
\(820\) | −24.0986 | − | 31.7996i | −0.841560 | − | 1.11049i | ||||
\(821\) | −23.5767 | + | 19.7832i | −0.822832 | + | 0.690438i | −0.953633 | − | 0.300971i | \(-0.902689\pi\) |
0.130802 | + | 0.991409i | \(0.458245\pi\) | |||||||
\(822\) | −33.7551 | − | 7.26059i | −1.17734 | − | 0.253242i | ||||
\(823\) | −32.9923 | − | 5.81743i | −1.15004 | − | 0.202783i | −0.434046 | − | 0.900891i | \(-0.642914\pi\) |
−0.715992 | + | 0.698108i | \(0.754026\pi\) | |||||||
\(824\) | −3.77631 | + | 3.87430i | −0.131554 | + | 0.134968i | ||||
\(825\) | 3.64317 | − | 2.04302i | 0.126839 | − | 0.0711289i | ||||
\(826\) | 16.0612 | + | 29.4854i | 0.558842 | + | 1.02593i | ||||
\(827\) | −45.1216 | − | 26.0510i | −1.56903 | − | 0.905882i | −0.996282 | − | 0.0861526i | \(-0.972543\pi\) |
−0.572751 | − | 0.819729i | \(-0.694124\pi\) | |||||||
\(828\) | −6.23003 | − | 2.81012i | −0.216508 | − | 0.0976586i | ||||
\(829\) | −25.6067 | + | 14.7840i | −0.889357 | + | 0.513471i | −0.873732 | − | 0.486407i | \(-0.838307\pi\) |
−0.0156251 | + | 0.999878i | \(0.504974\pi\) | |||||||
\(830\) | −22.2301 | − | 13.5811i | −0.771619 | − | 0.471406i | ||||
\(831\) | 5.92038 | − | 6.87893i | 0.205376 | − | 0.238627i | ||||
\(832\) | −41.3462 | − | 13.8602i | −1.43342 | − | 0.480516i | ||||
\(833\) | 2.47700 | + | 6.80550i | 0.0858229 | + | 0.235797i | ||||
\(834\) | 13.6257 | + | 0.508953i | 0.471819 | + | 0.0176236i | ||||
\(835\) | −2.31386 | − | 13.1226i | −0.0800744 | − | 0.454125i | ||||
\(836\) | −3.16652 | + | 7.51664i | −0.109516 | + | 0.259968i | ||||
\(837\) | −22.0217 | + | 24.3281i | −0.761182 | + | 0.840903i | ||||
\(838\) | −19.5152 | − | 3.94278i | −0.674142 | − | 0.136201i | ||||
\(839\) | 7.95080 | + | 45.0912i | 0.274492 | + | 1.55672i | 0.740571 | + | 0.671979i | \(0.234555\pi\) |
−0.466078 | + | 0.884743i | \(0.654334\pi\) | |||||||
\(840\) | −40.1307 | + | 3.52280i | −1.38464 | + | 0.121548i | ||||
\(841\) | 26.5301 | − | 9.65615i | 0.914830 | − | 0.332971i | ||||
\(842\) | 9.20013 | + | 11.5339i | 0.317057 | + | 0.397485i | ||||
\(843\) | −0.647632 | − | 1.85112i | −0.0223056 | − | 0.0637559i | ||||
\(844\) | 26.5731 | + | 24.6450i | 0.914683 | + | 0.848315i | ||||
\(845\) | 14.3609 | + | 24.8738i | 0.494029 | + | 0.855684i | ||||
\(846\) | 4.70385 | + | 9.17483i | 0.161722 | + | 0.315437i | ||||
\(847\) | −39.8286 | − | 22.9950i | −1.36853 | − | 0.790118i | ||||
\(848\) | −48.3156 | − | 4.81251i | −1.65916 | − | 0.165262i | ||||
\(849\) | 6.31583 | − | 10.6299i | 0.216759 | − | 0.364816i | ||||
\(850\) | 0.481632 | − | 1.22759i | 0.0165198 | − | 0.0421060i | ||||
\(851\) | −7.11573 | − | 1.25470i | −0.243924 | − | 0.0430104i | ||||
\(852\) | 19.0256 | − | 14.0468i | 0.651807 | − | 0.481235i | ||||
\(853\) | 7.00400 | + | 8.34705i | 0.239813 | + | 0.285797i | 0.872504 | − | 0.488606i | \(-0.162494\pi\) |
−0.632692 | + | 0.774404i | \(0.718050\pi\) | |||||||
\(854\) | −35.8948 | − | 31.6701i | −1.22830 | − | 1.08373i | ||||
\(855\) | −13.9517 | + | 11.1239i | −0.477139 | + | 0.380429i | ||||
\(856\) | −3.55161 | + | 47.6108i | −0.121391 | + | 1.62730i | ||||
\(857\) | −6.47755 | + | 17.7969i | −0.221269 | + | 0.607931i | −0.999807 | − | 0.0196666i | \(-0.993740\pi\) |
0.778538 | + | 0.627598i | \(0.215962\pi\) | |||||||
\(858\) | 2.15181 | + | 15.5855i | 0.0734616 | + | 0.532079i | ||||
\(859\) | 30.2186 | + | 25.3564i | 1.03105 | + | 0.865150i | 0.990975 | − | 0.134047i | \(-0.0427974\pi\) |
0.0400702 | + | 0.999197i | \(0.487242\pi\) | |||||||
\(860\) | −6.34082 | − | 0.315012i | −0.216220 | − | 0.0107418i | ||||
\(861\) | −74.4665 | + | 60.9131i | −2.53781 | + | 2.07591i | ||||
\(862\) | −22.6503 | − | 0.562286i | −0.771472 | − | 0.0191515i | ||||
\(863\) | −16.4124 | −0.558684 | −0.279342 | − | 0.960192i | \(-0.590116\pi\) | ||||
−0.279342 | + | 0.960192i | \(0.590116\pi\) | |||||||
\(864\) | −10.4084 | − | 27.4893i | −0.354103 | − | 0.935207i | ||||
\(865\) | −5.37255 | −0.182672 | ||||||||
\(866\) | 12.1662 | + | 0.302022i | 0.413424 | + | 0.0102631i | ||||
\(867\) | −4.69174 | − | 28.7044i | −0.159340 | − | 0.974852i | ||||
\(868\) | 60.3610 | + | 2.99873i | 2.04878 | + | 0.101784i | ||||
\(869\) | −11.7833 | − | 9.88732i | −0.399719 | − | 0.335404i | ||||
\(870\) | 2.91124 | − | 2.26315i | 0.0987003 | − | 0.0767278i | ||||
\(871\) | −6.44395 | + | 17.7046i | −0.218345 | + | 0.599897i | ||||
\(872\) | −2.35300 | + | 31.5429i | −0.0796826 | + | 1.06818i | ||||
\(873\) | −4.62601 | − | 0.115818i | −0.156567 | − | 0.00391985i | ||||
\(874\) | 4.18063 | + | 3.68858i | 0.141412 | + | 0.124768i | ||||
\(875\) | −37.2462 | − | 44.3883i | −1.25915 | − | 1.50060i | ||||
\(876\) | −0.316267 | − | 2.80245i | −0.0106857 | − | 0.0946861i | ||||
\(877\) | −18.5740 | − | 3.27509i | −0.627198 | − | 0.110592i | −0.148990 | − | 0.988839i | \(-0.547602\pi\) |
−0.478208 | + | 0.878247i | \(0.658713\pi\) | |||||||
\(878\) | 4.91179 | − | 12.5192i | 0.165765 | − | 0.422503i | ||||
\(879\) | −4.35623 | − | 0.0545234i | −0.146932 | − | 0.00183903i | ||||
\(880\) | −0.802859 | + | 8.06037i | −0.0270644 | + | 0.271715i | ||||
\(881\) | 10.7069 | + | 6.18163i | 0.360725 | + | 0.208265i | 0.669399 | − | 0.742903i | \(-0.266552\pi\) |
−0.308674 | + | 0.951168i | \(0.599885\pi\) | |||||||
\(882\) | 8.38654 | + | 66.9144i | 0.282390 | + | 2.25313i | ||||
\(883\) | −11.5774 | − | 20.0526i | −0.389610 | − | 0.674824i | 0.602787 | − | 0.797902i | \(-0.294057\pi\) |
−0.992397 | + | 0.123078i | \(0.960723\pi\) | |||||||
\(884\) | 3.64195 | + | 3.37769i | 0.122492 | + | 0.113604i | ||||
\(885\) | 14.5119 | + | 2.74654i | 0.487814 | + | 0.0923240i | ||||
\(886\) | 11.8635 | + | 14.8728i | 0.398561 | + | 0.499663i | ||||
\(887\) | 44.9592 | − | 16.3638i | 1.50958 | − | 0.549443i | 0.551061 | − | 0.834465i | \(-0.314223\pi\) |
0.958521 | + | 0.285022i | \(0.0920010\pi\) | |||||||
\(888\) | −17.8317 | − | 25.4504i | −0.598392 | − | 0.854061i | ||||
\(889\) | −9.28597 | − | 52.6633i | −0.311441 | − | 1.76627i | ||||
\(890\) | −19.3558 | − | 3.91056i | −0.648807 | − | 0.131082i | ||||
\(891\) | −7.21484 | + | 7.77270i | −0.241706 | + | 0.260395i | ||||
\(892\) | 7.10295 | − | 16.8609i | 0.237824 | − | 0.564544i | ||||
\(893\) | −1.46050 | − | 8.28292i | −0.0488739 | − | 0.277178i | ||||
\(894\) | 19.4010 | − | 30.8810i | 0.648867 | − | 1.03281i | ||||
\(895\) | −6.60032 | − | 18.1342i | −0.220624 | − | 0.606160i | ||||
\(896\) | −27.0302 | + | 46.9038i | −0.903014 | + | 1.56695i | ||||
\(897\) | 10.5668 | + | 1.99988i | 0.352815 | + | 0.0667741i | ||||
\(898\) | −11.6443 | − | 7.11388i | −0.388576 | − | 0.237393i | ||||
\(899\) | −4.79074 | + | 2.76593i | −0.159780 | + | 0.0922490i | ||||
\(900\) | 6.91585 | − | 10.1465i | 0.230528 | − | 0.338217i | ||||
\(901\) | 4.78970 | + | 2.76533i | 0.159568 | + | 0.0921266i | ||||
\(902\) | 9.25355 | + | 16.9878i | 0.308109 | + | 0.565631i | ||||
\(903\) | −0.191583 | + | 15.3068i | −0.00637549 | + | 0.509379i | ||||
\(904\) | 34.9777 | − | 35.8853i | 1.16334 | − | 1.19353i | ||||
\(905\) | −25.2424 | − | 4.45091i | −0.839085 | − | 0.147953i | ||||
\(906\) | −14.0233 | − | 43.5185i | −0.465892 | − | 1.44581i | ||||
\(907\) | −45.8690 | + | 38.4887i | −1.52306 | + | 1.27800i | −0.691834 | + | 0.722057i | \(0.743197\pi\) |
−0.831223 | + | 0.555939i | \(0.812359\pi\) | |||||||
\(908\) | 12.5248 | + | 16.5272i | 0.415649 | + | 0.548474i | ||||
\(909\) | 3.54098 | + | 6.50384i | 0.117447 | + | 0.215719i | ||||
\(910\) | 60.0872 | − | 20.1958i | 1.99187 | − | 0.669486i | ||||
\(911\) | 5.57494 | + | 2.02911i | 0.184706 | + | 0.0672275i | 0.432717 | − | 0.901530i | \(-0.357555\pi\) |
−0.248011 | + | 0.968757i | \(0.579777\pi\) | |||||||
\(912\) | 1.50338 | + | 23.9309i | 0.0497818 | + | 0.792432i | ||||
\(913\) | 9.67524 | + | 8.11849i | 0.320204 | + | 0.268683i | ||||
\(914\) | −2.85140 | − | 18.9032i | −0.0943160 | − | 0.625263i | ||||
\(915\) | −20.7810 | + | 3.39666i | −0.686999 | + | 0.112290i | ||||
\(916\) | 9.92633 | + | 2.26325i | 0.327975 | + | 0.0747798i | ||||
\(917\) | 52.6706 | 1.73934 | ||||||||
\(918\) | −0.208675 | + | 3.34163i | −0.00688731 | + | 0.110290i | ||||
\(919\) | − | 16.2524i | − | 0.536116i | −0.963403 | − | 0.268058i | \(-0.913618\pi\) | ||
0.963403 | − | 0.268058i | \(-0.0863819\pi\) | |||||||
\(920\) | 5.04766 | + | 2.27552i | 0.166416 | + | 0.0750217i | ||||
\(921\) | −15.3203 | + | 12.5319i | −0.504820 | + | 0.412939i | ||||
\(922\) | −8.61284 | − | 57.0984i | −0.283649 | − | 1.88044i | ||||
\(923\) | −23.9202 | + | 28.5070i | −0.787343 | + | 0.938319i | ||||
\(924\) | 19.4938 | + | 1.21320i | 0.641300 | + | 0.0399113i | ||||
\(925\) | 4.44004 | − | 12.1989i | 0.145988 | − | 0.401098i | ||||
\(926\) | −9.46201 | − | 28.1516i | −0.310941 | − | 0.925120i | ||||
\(927\) | 5.67442 | − | 0.854714i | 0.186373 | − | 0.0280725i | ||||
\(928\) | −0.249808 | − | 4.94886i | −0.00820034 | − | 0.162454i | ||||
\(929\) | −35.2810 | − | 42.0462i | −1.15753 | − | 1.37949i | −0.912044 | − | 0.410092i | \(-0.865497\pi\) |
−0.245486 | − | 0.969400i | \(-0.578948\pi\) | |||||||
\(930\) | 17.8365 | − | 19.7129i | 0.584881 | − | 0.646412i | ||||
\(931\) | 9.55284 | − | 54.1768i | 0.313082 | − | 1.77557i | ||||
\(932\) | 15.9372 | + | 10.2882i | 0.522041 | + | 0.337001i | ||||
\(933\) | 10.1453 | − | 17.0751i | 0.332144 | − | 0.559014i | ||||
\(934\) | 36.9209 | − | 20.1115i | 1.20809 | − | 0.658067i | ||||
\(935\) | 0.461333 | − | 0.799053i | 0.0150872 | − | 0.0261318i | ||||
\(936\) | 26.0644 | + | 38.2094i | 0.851941 | + | 1.24891i | ||||
\(937\) | 17.4404 | + | 30.2077i | 0.569753 | + | 0.986841i | 0.996590 | + | 0.0825128i | \(0.0262945\pi\) |
−0.426837 | + | 0.904329i | \(0.640372\pi\) | |||||||
\(938\) | 19.9593 | + | 12.1937i | 0.651693 | + | 0.398140i | ||||
\(939\) | 13.1399 | − | 4.59714i | 0.428806 | − | 0.150022i | ||||
\(940\) | −3.81233 | − | 7.43207i | −0.124345 | − | 0.242407i | ||||
\(941\) | 41.1785 | − | 14.9877i | 1.34238 | − | 0.488586i | 0.431818 | − | 0.901961i | \(-0.357872\pi\) |
0.910561 | + | 0.413374i | \(0.135650\pi\) | |||||||
\(942\) | 16.6860 | − | 8.82019i | 0.543659 | − | 0.287377i | ||||
\(943\) | 13.0219 | − | 2.29612i | 0.424053 | − | 0.0747720i | ||||
\(944\) | 14.2017 | − | 13.8646i | 0.462227 | − | 0.451254i | ||||
\(945\) | 36.1761 | + | 22.7384i | 1.17681 | + | 0.739679i | ||||
\(946\) | 3.01708 | + | 0.609559i | 0.0980937 | + | 0.0198185i | ||||
\(947\) | −18.8196 | + | 3.31841i | −0.611556 | + | 0.107834i | −0.470844 | − | 0.882217i | \(-0.656050\pi\) |
−0.140713 | + | 0.990050i | \(0.544939\pi\) | |||||||
\(948\) | −43.9590 | − | 10.6033i | −1.42772 | − | 0.344379i | ||||
\(949\) | 1.51781 | + | 4.17016i | 0.0492703 | + | 0.135369i | ||||
\(950\) | −7.83077 | + | 6.24629i | −0.254064 | + | 0.202656i | ||||
\(951\) | −15.0091 | − | 12.9177i | −0.486704 | − | 0.418884i | ||||
\(952\) | 5.00542 | − | 3.60124i | 0.162227 | − | 0.116717i | ||||
\(953\) | −12.5264 | + | 7.23211i | −0.405769 | + | 0.234271i | −0.688970 | − | 0.724790i | \(-0.741937\pi\) |
0.283201 | + | 0.959061i | \(0.408604\pi\) | |||||||
\(954\) | 37.7527 | + | 35.0283i | 1.22229 | + | 1.13408i | ||||
\(955\) | 8.29586 | − | 14.3689i | 0.268448 | − | 0.464965i | ||||
\(956\) | 45.8296 | − | 14.1480i | 1.48224 | − | 0.457578i | ||||
\(957\) | −1.55934 | + | 0.874449i | −0.0504063 | + | 0.0282669i | ||||
\(958\) | 4.21560 | + | 1.65395i | 0.136200 | + | 0.0534367i | ||||
\(959\) | 11.7119 | − | 66.4215i | 0.378197 | − | 2.14486i | ||||
\(960\) | 8.43698 | + | 22.2684i | 0.272302 | + | 0.718709i | ||||
\(961\) | −6.80403 | + | 5.70926i | −0.219485 | + | 0.184170i | ||||
\(962\) | 36.6672 | + | 32.3516i | 1.18220 | + | 1.04306i | ||||
\(963\) | 33.5109 | − | 37.9650i | 1.07988 | − | 1.22341i | ||||
\(964\) | 4.33555 | + | 34.5332i | 0.139639 | + | 1.11224i | ||||
\(965\) | 9.31967 | + | 3.39208i | 0.300011 | + | 0.109195i | ||||
\(966\) | 5.03129 | − | 12.3663i | 0.161879 | − | 0.397880i | ||||
\(967\) | 8.91628 | − | 10.6260i | 0.286728 | − | 0.341709i | −0.603384 | − | 0.797451i | \(-0.706181\pi\) |
0.890112 | + | 0.455741i | \(0.150626\pi\) | |||||||
\(968\) | −6.69922 | + | 26.3471i | −0.215321 | + | 0.846826i | ||||
\(969\) | 0.966189 | − | 2.55464i | 0.0310385 | − | 0.0820669i | ||||
\(970\) | 3.74772 | + | 0.0930360i | 0.120332 | + | 0.00298721i | ||||
\(971\) | 35.7599i | 1.14759i | 0.818999 | + | 0.573795i | \(0.194530\pi\) | ||||
−0.818999 | + | 0.573795i | \(0.805470\pi\) | |||||||
\(972\) | −8.81796 | + | 29.9039i | −0.282836 | + | 0.959168i | ||||
\(973\) | 26.6353i | 0.853890i | ||||||||
\(974\) | 0.0269391 | − | 1.08517i | 0.000863185 | − | 0.0347712i | ||||
\(975\) | −6.83525 | + | 18.0727i | −0.218903 | + | 0.578788i | ||||
\(976\) | −12.2656 | + | 25.4995i | −0.392613 | + | 0.816218i | ||||
\(977\) | −3.44365 | + | 4.10398i | −0.110172 | + | 0.131298i | −0.818312 | − | 0.574774i | \(-0.805090\pi\) |
0.708140 | + | 0.706072i | \(0.249534\pi\) | |||||||
\(978\) | 11.0403 | + | 4.49179i | 0.353030 | + | 0.143632i | ||||
\(979\) | 8.99657 | + | 3.27448i | 0.287532 | + | 0.104653i | ||||
\(980\) | −6.80572 | − | 54.2084i | −0.217401 | − | 1.73163i | ||||
\(981\) | 22.2016 | − | 25.1525i | 0.708841 | − | 0.803057i | ||||
\(982\) | −14.9791 | + | 16.9773i | −0.478003 | + | 0.541768i | ||||
\(983\) | −20.2989 | + | 17.0328i | −0.647436 | + | 0.543263i | −0.906292 | − | 0.422653i | \(-0.861099\pi\) |
0.258856 | + | 0.965916i | \(0.416655\pi\) | |||||||
\(984\) | 46.5939 | + | 32.6051i | 1.48536 | + | 1.03941i | ||||
\(985\) | −4.32443 | + | 24.5251i | −0.137788 | + | 0.781433i | ||||
\(986\) | −0.206147 | + | 0.525429i | −0.00656506 | + | 0.0167331i | ||||
\(987\) | −17.5669 | + | 9.85120i | −0.559161 | + | 0.313567i | ||||
\(988\) | −11.1295 | − | 36.0519i | −0.354077 | − | 1.14696i | ||||
\(989\) | 1.05199 | − | 1.82209i | 0.0334512 | − | 0.0579391i | ||||
\(990\) | 5.84368 | − | 6.29819i | 0.185724 | − | 0.200170i | ||||
\(991\) | 41.5804 | − | 24.0065i | 1.32085 | − | 0.762590i | 0.336982 | − | 0.941511i | \(-0.390594\pi\) |
0.983863 | + | 0.178921i | \(0.0572606\pi\) | |||||||
\(992\) | −7.96920 | − | 34.8241i | −0.253022 | − | 1.10567i | ||||
\(993\) | 0.993162 | + | 0.854769i | 0.0315170 | + | 0.0271253i | ||||
\(994\) | 28.8075 | + | 36.1150i | 0.913719 | + | 1.14550i | ||||
\(995\) | 8.39105 | + | 23.0542i | 0.266014 | + | 0.730868i | ||||
\(996\) | 36.0948 | + | 8.70639i | 1.14371 | + | 0.275873i | ||||
\(997\) | −26.4974 | + | 4.67220i | −0.839180 | + | 0.147970i | −0.576689 | − | 0.816964i | \(-0.695655\pi\) |
−0.262492 | + | 0.964934i | \(0.584544\pi\) | |||||||
\(998\) | −7.94989 | + | 39.3489i | −0.251649 | + | 1.24557i | ||||
\(999\) | −1.23727 | + | 32.9374i | −0.0391455 | + | 1.04209i |
(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 | 216.2.v.b.203.1 | yes | 192 | |
3.2 | odd | 2 | 648.2.v.b.395.32 | 192 | |||
4.3 | odd | 2 | 864.2.bh.b.527.4 | 192 | |||
8.3 | odd | 2 | inner | 216.2.v.b.203.4 | yes | 192 | |
8.5 | even | 2 | 864.2.bh.b.527.3 | 192 | |||
24.11 | even | 2 | 648.2.v.b.395.29 | 192 | |||
27.2 | odd | 18 | inner | 216.2.v.b.83.4 | yes | 192 | |
27.25 | even | 9 | 648.2.v.b.251.29 | 192 | |||
108.83 | even | 18 | 864.2.bh.b.623.3 | 192 | |||
216.29 | odd | 18 | 864.2.bh.b.623.4 | 192 | |||
216.83 | even | 18 | inner | 216.2.v.b.83.1 | ✓ | 192 | |
216.187 | odd | 18 | 648.2.v.b.251.32 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.83.1 | ✓ | 192 | 216.83 | even | 18 | inner | |
216.2.v.b.83.4 | yes | 192 | 27.2 | odd | 18 | inner | |
216.2.v.b.203.1 | yes | 192 | 1.1 | even | 1 | trivial | |
216.2.v.b.203.4 | yes | 192 | 8.3 | odd | 2 | inner | |
648.2.v.b.251.29 | 192 | 27.25 | even | 9 | |||
648.2.v.b.251.32 | 192 | 216.187 | odd | 18 | |||
648.2.v.b.395.29 | 192 | 24.11 | even | 2 | |||
648.2.v.b.395.32 | 192 | 3.2 | odd | 2 | |||
864.2.bh.b.527.3 | 192 | 8.5 | even | 2 | |||
864.2.bh.b.527.4 | 192 | 4.3 | odd | 2 | |||
864.2.bh.b.623.3 | 192 | 108.83 | even | 18 | |||
864.2.bh.b.623.4 | 192 | 216.29 | odd | 18 |