Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(251,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.q (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 251.2 | ||
Root | \(1.68614 + 0.396143i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 546.251 |
Dual form | 546.2.q.f.335.2 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 1.68614 | − | 0.396143i | 0.973494 | − | 0.228714i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | − | 2.52434i | − | 1.12892i | −0.825461 | − | 0.564459i | \(-0.809085\pi\) | ||
0.825461 | − | 0.564459i | \(-0.190915\pi\) | |||||||
\(6\) | −0.500000 | + | 1.65831i | −0.204124 | + | 0.677003i | ||||
\(7\) | 2.50000 | + | 0.866025i | 0.944911 | + | 0.327327i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.68614 | − | 1.33591i | 0.895380 | − | 0.445302i | ||||
\(10\) | 2.18614 | + | 1.26217i | 0.691318 | + | 0.399133i | ||||
\(11\) | 0.686141 | − | 1.18843i | 0.206879 | − | 0.358325i | −0.743851 | − | 0.668346i | \(-0.767003\pi\) |
0.950730 | + | 0.310021i | \(0.100336\pi\) | |||||||
\(12\) | −1.18614 | − | 1.26217i | −0.342409 | − | 0.364357i | ||||
\(13\) | −3.50000 | + | 0.866025i | −0.970725 | + | 0.240192i | ||||
\(14\) | −2.00000 | + | 1.73205i | −0.534522 | + | 0.462910i | ||||
\(15\) | −1.00000 | − | 4.25639i | −0.258199 | − | 1.09899i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −0.686141 | − | 1.18843i | −0.166414 | − | 0.288237i | 0.770743 | − | 0.637146i | \(-0.219885\pi\) |
−0.937156 | + | 0.348910i | \(0.886552\pi\) | |||||||
\(18\) | −0.186141 | + | 2.99422i | −0.0438738 | + | 0.705744i | ||||
\(19\) | −1.68614 | − | 2.92048i | −0.386827 | − | 0.670004i | 0.605194 | − | 0.796078i | \(-0.293096\pi\) |
−0.992021 | + | 0.126074i | \(0.959762\pi\) | |||||||
\(20\) | −2.18614 | + | 1.26217i | −0.488836 | + | 0.282230i | ||||
\(21\) | 4.55842 | + | 0.469882i | 0.994729 | + | 0.102537i | ||||
\(22\) | 0.686141 | + | 1.18843i | 0.146286 | + | 0.253374i | ||||
\(23\) | −0.813859 | − | 0.469882i | −0.169701 | − | 0.0979772i | 0.412744 | − | 0.910847i | \(-0.364571\pi\) |
−0.582445 | + | 0.812870i | \(0.697904\pi\) | |||||||
\(24\) | 1.68614 | − | 0.396143i | 0.344182 | − | 0.0808625i | ||||
\(25\) | −1.37228 | −0.274456 | ||||||||
\(26\) | 1.00000 | − | 3.46410i | 0.196116 | − | 0.679366i | ||||
\(27\) | 4.00000 | − | 3.31662i | 0.769800 | − | 0.638285i | ||||
\(28\) | −0.500000 | − | 2.59808i | −0.0944911 | − | 0.490990i | ||||
\(29\) | 0.686141 | + | 0.396143i | 0.127413 | + | 0.0735620i | 0.562352 | − | 0.826898i | \(-0.309897\pi\) |
−0.434939 | + | 0.900460i | \(0.643230\pi\) | |||||||
\(30\) | 4.18614 | + | 1.26217i | 0.764281 | + | 0.230439i | ||||
\(31\) | 4.74456 | 0.852149 | 0.426074 | − | 0.904688i | \(-0.359896\pi\) | ||||
0.426074 | + | 0.904688i | \(0.359896\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0.686141 | − | 2.27567i | 0.119442 | − | 0.396143i | ||||
\(34\) | 1.37228 | 0.235344 | ||||||||
\(35\) | 2.18614 | − | 6.31084i | 0.369525 | − | 1.06673i | ||||
\(36\) | −2.50000 | − | 1.65831i | −0.416667 | − | 0.276385i | ||||
\(37\) | 7.11684 | + | 4.10891i | 1.17000 | + | 0.675501i | 0.953681 | − | 0.300821i | \(-0.0972608\pi\) |
0.216321 | + | 0.976322i | \(0.430594\pi\) | |||||||
\(38\) | 3.37228 | 0.547056 | ||||||||
\(39\) | −5.55842 | + | 2.84674i | −0.890060 | + | 0.455844i | ||||
\(40\) | − | 2.52434i | − | 0.399133i | ||||||
\(41\) | −5.31386 | − | 3.06796i | −0.829885 | − | 0.479135i | 0.0239280 | − | 0.999714i | \(-0.492383\pi\) |
−0.853813 | + | 0.520579i | \(0.825716\pi\) | |||||||
\(42\) | −2.68614 | + | 3.71277i | −0.414481 | + | 0.572893i | ||||
\(43\) | 2.00000 | + | 3.46410i | 0.304997 | + | 0.528271i | 0.977261 | − | 0.212041i | \(-0.0680112\pi\) |
−0.672264 | + | 0.740312i | \(0.734678\pi\) | |||||||
\(44\) | −1.37228 | −0.206879 | ||||||||
\(45\) | −3.37228 | − | 6.78073i | −0.502710 | − | 1.01081i | ||||
\(46\) | 0.813859 | − | 0.469882i | 0.119997 | − | 0.0692803i | ||||
\(47\) | − | 4.25639i | − | 0.620858i | −0.950597 | − | 0.310429i | \(-0.899527\pi\) | ||
0.950597 | − | 0.310429i | \(-0.100473\pi\) | |||||||
\(48\) | −0.500000 | + | 1.65831i | −0.0721688 | + | 0.239357i | ||||
\(49\) | 5.50000 | + | 4.33013i | 0.785714 | + | 0.618590i | ||||
\(50\) | 0.686141 | − | 1.18843i | 0.0970349 | − | 0.168069i | ||||
\(51\) | −1.62772 | − | 1.73205i | −0.227926 | − | 0.242536i | ||||
\(52\) | 2.50000 | + | 2.59808i | 0.346688 | + | 0.360288i | ||||
\(53\) | 14.3537i | 1.97164i | 0.167813 | + | 0.985819i | \(0.446330\pi\) | ||||
−0.167813 | + | 0.985819i | \(0.553670\pi\) | |||||||
\(54\) | 0.872281 | + | 5.12241i | 0.118702 | + | 0.697072i | ||||
\(55\) | −3.00000 | − | 1.73205i | −0.404520 | − | 0.233550i | ||||
\(56\) | 2.50000 | + | 0.866025i | 0.334077 | + | 0.115728i | ||||
\(57\) | −4.00000 | − | 4.25639i | −0.529813 | − | 0.563772i | ||||
\(58\) | −0.686141 | + | 0.396143i | −0.0900947 | + | 0.0520162i | ||||
\(59\) | −8.18614 | + | 4.72627i | −1.06574 | + | 0.615308i | −0.927016 | − | 0.375022i | \(-0.877635\pi\) |
−0.138729 | + | 0.990330i | \(0.544302\pi\) | |||||||
\(60\) | −3.18614 | + | 2.99422i | −0.411329 | + | 0.386552i | ||||
\(61\) | −4.50000 | + | 2.59808i | −0.576166 | + | 0.332650i | −0.759608 | − | 0.650381i | \(-0.774609\pi\) |
0.183442 | + | 0.983030i | \(0.441276\pi\) | |||||||
\(62\) | −2.37228 | + | 4.10891i | −0.301280 | + | 0.521832i | ||||
\(63\) | 7.87228 | − | 1.01350i | 0.991814 | − | 0.127689i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 2.18614 | + | 8.83518i | 0.271157 | + | 1.09587i | ||||
\(66\) | 1.62772 | + | 1.73205i | 0.200358 | + | 0.213201i | ||||
\(67\) | −7.11684 | − | 4.10891i | −0.869461 | − | 0.501983i | −0.00229183 | − | 0.999997i | \(-0.500730\pi\) |
−0.867169 | + | 0.498014i | \(0.834063\pi\) | |||||||
\(68\) | −0.686141 | + | 1.18843i | −0.0832068 | + | 0.144118i | ||||
\(69\) | −1.55842 | − | 0.469882i | −0.187612 | − | 0.0565671i | ||||
\(70\) | 4.37228 | + | 5.04868i | 0.522588 | + | 0.603432i | ||||
\(71\) | −0.558422 | − | 0.967215i | −0.0662725 | − | 0.114787i | 0.830985 | − | 0.556294i | \(-0.187777\pi\) |
−0.897258 | + | 0.441507i | \(0.854444\pi\) | |||||||
\(72\) | 2.68614 | − | 1.33591i | 0.316565 | − | 0.157438i | ||||
\(73\) | −0.744563 | −0.0871445 | −0.0435722 | − | 0.999050i | \(-0.513874\pi\) | ||||
−0.0435722 | + | 0.999050i | \(0.513874\pi\) | |||||||
\(74\) | −7.11684 | + | 4.10891i | −0.827316 | + | 0.477651i | ||||
\(75\) | −2.31386 | + | 0.543620i | −0.267181 | + | 0.0627719i | ||||
\(76\) | −1.68614 | + | 2.92048i | −0.193414 | + | 0.335002i | ||||
\(77\) | 2.74456 | − | 2.37686i | 0.312772 | − | 0.270868i | ||||
\(78\) | 0.313859 | − | 6.23711i | 0.0355376 | − | 0.706213i | ||||
\(79\) | 15.3723 | 1.72952 | 0.864758 | − | 0.502188i | \(-0.167472\pi\) | ||||
0.864758 | + | 0.502188i | \(0.167472\pi\) | |||||||
\(80\) | 2.18614 | + | 1.26217i | 0.244418 | + | 0.141115i | ||||
\(81\) | 5.43070 | − | 7.17687i | 0.603411 | − | 0.797430i | ||||
\(82\) | 5.31386 | − | 3.06796i | 0.586818 | − | 0.338799i | ||||
\(83\) | 5.04868i | 0.554164i | 0.960846 | + | 0.277082i | \(0.0893674\pi\) | ||||
−0.960846 | + | 0.277082i | \(0.910633\pi\) | |||||||
\(84\) | −1.87228 | − | 4.18265i | −0.204283 | − | 0.456365i | ||||
\(85\) | −3.00000 | + | 1.73205i | −0.325396 | + | 0.187867i | ||||
\(86\) | −4.00000 | −0.431331 | ||||||||
\(87\) | 1.31386 | + | 0.396143i | 0.140861 | + | 0.0424710i | ||||
\(88\) | 0.686141 | − | 1.18843i | 0.0731428 | − | 0.126687i | ||||
\(89\) | 10.8030 | + | 6.23711i | 1.14511 | + | 0.661132i | 0.947692 | − | 0.319187i | \(-0.103410\pi\) |
0.197422 | + | 0.980319i | \(0.436743\pi\) | |||||||
\(90\) | 7.55842 | + | 0.469882i | 0.796728 | + | 0.0495299i | ||||
\(91\) | −9.50000 | − | 0.866025i | −0.995871 | − | 0.0907841i | ||||
\(92\) | 0.939764i | 0.0979772i | ||||||||
\(93\) | 8.00000 | − | 1.87953i | 0.829561 | − | 0.194898i | ||||
\(94\) | 3.68614 | + | 2.12819i | 0.380196 | + | 0.219506i | ||||
\(95\) | −7.37228 | + | 4.25639i | −0.756380 | + | 0.436696i | ||||
\(96\) | −1.18614 | − | 1.26217i | −0.121060 | − | 0.128820i | ||||
\(97\) | −5.37228 | − | 9.30506i | −0.545473 | − | 0.944786i | −0.998577 | − | 0.0533287i | \(-0.983017\pi\) |
0.453104 | − | 0.891457i | \(-0.350316\pi\) | |||||||
\(98\) | −6.50000 | + | 2.59808i | −0.656599 | + | 0.262445i | ||||
\(99\) | 0.255437 | − | 4.10891i | 0.0256724 | − | 0.412961i | ||||
\(100\) | 0.686141 | + | 1.18843i | 0.0686141 | + | 0.118843i | ||||
\(101\) | −1.62772 | + | 2.81929i | −0.161964 | + | 0.280530i | −0.935573 | − | 0.353133i | \(-0.885116\pi\) |
0.773609 | + | 0.633663i | \(0.218450\pi\) | |||||||
\(102\) | 2.31386 | − | 0.543620i | 0.229106 | − | 0.0538264i | ||||
\(103\) | 11.6819i | 1.15105i | 0.817783 | + | 0.575527i | \(0.195203\pi\) | ||||
−0.817783 | + | 0.575527i | \(0.804797\pi\) | |||||||
\(104\) | −3.50000 | + | 0.866025i | −0.343203 | + | 0.0849208i | ||||
\(105\) | 1.18614 | − | 11.5070i | 0.115755 | − | 1.12297i | ||||
\(106\) | −12.4307 | − | 7.17687i | −1.20738 | − | 0.697079i | ||||
\(107\) | 3.68614 | + | 2.12819i | 0.356353 | + | 0.205740i | 0.667480 | − | 0.744628i | \(-0.267373\pi\) |
−0.311127 | + | 0.950368i | \(0.600706\pi\) | |||||||
\(108\) | −4.87228 | − | 1.80579i | −0.468835 | − | 0.173762i | ||||
\(109\) | − | 19.8997i | − | 1.90605i | −0.302891 | − | 0.953025i | \(-0.597952\pi\) | ||
0.302891 | − | 0.953025i | \(-0.402048\pi\) | |||||||
\(110\) | 3.00000 | − | 1.73205i | 0.286039 | − | 0.165145i | ||||
\(111\) | 13.6277 | + | 4.10891i | 1.29349 | + | 0.390001i | ||||
\(112\) | −2.00000 | + | 1.73205i | −0.188982 | + | 0.163663i | ||||
\(113\) | −14.7446 | + | 8.51278i | −1.38705 | + | 0.800815i | −0.992982 | − | 0.118266i | \(-0.962267\pi\) |
−0.394070 | + | 0.919081i | \(0.628933\pi\) | |||||||
\(114\) | 5.68614 | − | 1.33591i | 0.532556 | − | 0.125119i | ||||
\(115\) | −1.18614 | + | 2.05446i | −0.110608 | + | 0.191579i | ||||
\(116\) | − | 0.792287i | − | 0.0735620i | ||||||
\(117\) | −8.24456 | + | 7.00194i | −0.762210 | + | 0.647330i | ||||
\(118\) | − | 9.45254i | − | 0.870177i | ||||||
\(119\) | −0.686141 | − | 3.56529i | −0.0628984 | − | 0.326830i | ||||
\(120\) | −1.00000 | − | 4.25639i | −0.0912871 | − | 0.388553i | ||||
\(121\) | 4.55842 | + | 7.89542i | 0.414402 | + | 0.717765i | ||||
\(122\) | − | 5.19615i | − | 0.470438i | ||||||
\(123\) | −10.1753 | − | 3.06796i | −0.917473 | − | 0.276628i | ||||
\(124\) | −2.37228 | − | 4.10891i | −0.213037 | − | 0.368991i | ||||
\(125\) | − | 9.15759i | − | 0.819080i | ||||||
\(126\) | −3.05842 | + | 7.32435i | −0.272466 | + | 0.652505i | ||||
\(127\) | −7.55842 | + | 13.0916i | −0.670701 | + | 1.16169i | 0.307004 | + | 0.951708i | \(0.400673\pi\) |
−0.977706 | + | 0.209981i | \(0.932660\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 4.74456 | + | 5.04868i | 0.417735 | + | 0.444511i | ||||
\(130\) | −8.74456 | − | 2.52434i | −0.766949 | − | 0.221399i | ||||
\(131\) | −18.6060 | −1.62561 | −0.812806 | − | 0.582535i | \(-0.802061\pi\) | ||||
−0.812806 | + | 0.582535i | \(0.802061\pi\) | |||||||
\(132\) | −2.31386 | + | 0.543620i | −0.201396 | + | 0.0473161i | ||||
\(133\) | −1.68614 | − | 8.76144i | −0.146207 | − | 0.759714i | ||||
\(134\) | 7.11684 | − | 4.10891i | 0.614802 | − | 0.354956i | ||||
\(135\) | −8.37228 | − | 10.0974i | −0.720571 | − | 0.869042i | ||||
\(136\) | −0.686141 | − | 1.18843i | −0.0588361 | − | 0.101907i | ||||
\(137\) | −0.813859 | − | 1.40965i | −0.0695327 | − | 0.120434i | 0.829163 | − | 0.559007i | \(-0.188817\pi\) |
−0.898696 | + | 0.438573i | \(0.855484\pi\) | |||||||
\(138\) | 1.18614 | − | 1.11469i | 0.100971 | − | 0.0948889i | ||||
\(139\) | −18.1753 | + | 10.4935i | −1.54161 | + | 0.890047i | −0.542868 | + | 0.839818i | \(0.682662\pi\) |
−0.998738 | + | 0.0502287i | \(0.984005\pi\) | |||||||
\(140\) | −6.55842 | + | 1.26217i | −0.554288 | + | 0.106673i | ||||
\(141\) | −1.68614 | − | 7.17687i | −0.141999 | − | 0.604401i | ||||
\(142\) | 1.11684 | 0.0937235 | ||||||||
\(143\) | −1.37228 | + | 4.75372i | −0.114756 | + | 0.397526i | ||||
\(144\) | −0.186141 | + | 2.99422i | −0.0155117 | + | 0.249518i | ||||
\(145\) | 1.00000 | − | 1.73205i | 0.0830455 | − | 0.143839i | ||||
\(146\) | 0.372281 | − | 0.644810i | 0.0308102 | − | 0.0533649i | ||||
\(147\) | 10.9891 | + | 5.12241i | 0.906368 | + | 0.422490i | ||||
\(148\) | − | 8.21782i | − | 0.675501i | ||||||
\(149\) | 3.00000 | + | 5.19615i | 0.245770 | + | 0.425685i | 0.962348 | − | 0.271821i | \(-0.0876260\pi\) |
−0.716578 | + | 0.697507i | \(0.754293\pi\) | |||||||
\(150\) | 0.686141 | − | 2.27567i | 0.0560232 | − | 0.185808i | ||||
\(151\) | − | 3.02167i | − | 0.245900i | −0.992413 | − | 0.122950i | \(-0.960765\pi\) | ||
0.992413 | − | 0.122950i | \(-0.0392355\pi\) | |||||||
\(152\) | −1.68614 | − | 2.92048i | −0.136764 | − | 0.236882i | ||||
\(153\) | −3.43070 | − | 2.27567i | −0.277356 | − | 0.183977i | ||||
\(154\) | 0.686141 | + | 3.56529i | 0.0552908 | + | 0.287299i | ||||
\(155\) | − | 11.9769i | − | 0.962006i | ||||||
\(156\) | 5.24456 | + | 3.39036i | 0.419901 | + | 0.271446i | ||||
\(157\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(158\) | −7.68614 | + | 13.3128i | −0.611477 | + | 1.05911i | ||||
\(159\) | 5.68614 | + | 24.2024i | 0.450940 | + | 1.91938i | ||||
\(160\) | −2.18614 | + | 1.26217i | −0.172830 | + | 0.0997832i | ||||
\(161\) | −1.62772 | − | 1.87953i | −0.128282 | − | 0.148128i | ||||
\(162\) | 3.50000 | + | 8.29156i | 0.274986 | + | 0.651447i | ||||
\(163\) | −9.00000 | + | 5.19615i | −0.704934 | + | 0.406994i | −0.809183 | − | 0.587557i | \(-0.800090\pi\) |
0.104248 | + | 0.994551i | \(0.466756\pi\) | |||||||
\(164\) | 6.13592i | 0.479135i | ||||||||
\(165\) | −5.74456 | − | 1.73205i | −0.447214 | − | 0.134840i | ||||
\(166\) | −4.37228 | − | 2.52434i | −0.339355 | − | 0.195927i | ||||
\(167\) | 5.74456 | + | 3.31662i | 0.444528 | + | 0.256648i | 0.705516 | − | 0.708694i | \(-0.250715\pi\) |
−0.260989 | + | 0.965342i | \(0.584049\pi\) | |||||||
\(168\) | 4.55842 | + | 0.469882i | 0.351690 | + | 0.0362522i | ||||
\(169\) | 11.5000 | − | 6.06218i | 0.884615 | − | 0.466321i | ||||
\(170\) | − | 3.46410i | − | 0.265684i | ||||||
\(171\) | −8.43070 | − | 5.59230i | −0.644712 | − | 0.427654i | ||||
\(172\) | 2.00000 | − | 3.46410i | 0.152499 | − | 0.264135i | ||||
\(173\) | 9.55842 | + | 16.5557i | 0.726713 | + | 1.25870i | 0.958265 | + | 0.285882i | \(0.0922865\pi\) |
−0.231552 | + | 0.972823i | \(0.574380\pi\) | |||||||
\(174\) | −1.00000 | + | 0.939764i | −0.0758098 | + | 0.0712433i | ||||
\(175\) | −3.43070 | − | 1.18843i | −0.259337 | − | 0.0898369i | ||||
\(176\) | 0.686141 | + | 1.18843i | 0.0517198 | + | 0.0895813i | ||||
\(177\) | −11.9307 | + | 11.2120i | −0.896767 | + | 0.842749i | ||||
\(178\) | −10.8030 | + | 6.23711i | −0.809718 | + | 0.467491i | ||||
\(179\) | −1.37228 | − | 0.792287i | −0.102569 | − | 0.0592183i | 0.447838 | − | 0.894115i | \(-0.352194\pi\) |
−0.550407 | + | 0.834896i | \(0.685527\pi\) | |||||||
\(180\) | −4.18614 | + | 6.31084i | −0.312017 | + | 0.470383i | ||||
\(181\) | − | 12.1244i | − | 0.901196i | −0.892727 | − | 0.450598i | \(-0.851211\pi\) | ||
0.892727 | − | 0.450598i | \(-0.148789\pi\) | |||||||
\(182\) | 5.50000 | − | 7.79423i | 0.407687 | − | 0.577747i | ||||
\(183\) | −6.55842 | + | 6.16337i | −0.484813 | + | 0.455609i | ||||
\(184\) | −0.813859 | − | 0.469882i | −0.0599985 | − | 0.0346402i | ||||
\(185\) | 10.3723 | − | 17.9653i | 0.762585 | − | 1.32084i | ||||
\(186\) | −2.37228 | + | 7.86797i | −0.173944 | + | 0.576907i | ||||
\(187\) | −1.88316 | −0.137710 | ||||||||
\(188\) | −3.68614 | + | 2.12819i | −0.268839 | + | 0.155215i | ||||
\(189\) | 12.8723 | − | 4.82746i | 0.936321 | − | 0.351146i | ||||
\(190\) | − | 8.51278i | − | 0.617582i | ||||||
\(191\) | 16.3723 | − | 9.45254i | 1.18466 | − | 0.683962i | 0.227569 | − | 0.973762i | \(-0.426922\pi\) |
0.957087 | + | 0.289800i | \(0.0935888\pi\) | |||||||
\(192\) | 1.68614 | − | 0.396143i | 0.121687 | − | 0.0285892i | ||||
\(193\) | −5.61684 | − | 3.24289i | −0.404309 | − | 0.233428i | 0.284032 | − | 0.958815i | \(-0.408328\pi\) |
−0.688342 | + | 0.725387i | \(0.741661\pi\) | |||||||
\(194\) | 10.7446 | 0.771415 | ||||||||
\(195\) | 7.18614 | + | 14.0313i | 0.514610 | + | 1.00480i | ||||
\(196\) | 1.00000 | − | 6.92820i | 0.0714286 | − | 0.494872i | ||||
\(197\) | −7.80298 | + | 13.5152i | −0.555940 | + | 0.962916i | 0.441890 | + | 0.897069i | \(0.354308\pi\) |
−0.997830 | + | 0.0658465i | \(0.979025\pi\) | |||||||
\(198\) | 3.43070 | + | 2.27567i | 0.243809 | + | 0.161725i | ||||
\(199\) | 3.00000 | − | 1.73205i | 0.212664 | − | 0.122782i | −0.389885 | − | 0.920864i | \(-0.627485\pi\) |
0.602549 | + | 0.798082i | \(0.294152\pi\) | |||||||
\(200\) | −1.37228 | −0.0970349 | ||||||||
\(201\) | −13.6277 | − | 4.10891i | −0.961225 | − | 0.289820i | ||||
\(202\) | −1.62772 | − | 2.81929i | −0.114526 | − | 0.198365i | ||||
\(203\) | 1.37228 | + | 1.58457i | 0.0963153 | + | 0.111215i | ||||
\(204\) | −0.686141 | + | 2.27567i | −0.0480395 | + | 0.159329i | ||||
\(205\) | −7.74456 | + | 13.4140i | −0.540904 | + | 0.936873i | ||||
\(206\) | −10.1168 | − | 5.84096i | −0.704874 | − | 0.406959i | ||||
\(207\) | −2.81386 | − | 0.174928i | −0.195577 | − | 0.0121584i | ||||
\(208\) | 1.00000 | − | 3.46410i | 0.0693375 | − | 0.240192i | ||||
\(209\) | −4.62772 | −0.320106 | ||||||||
\(210\) | 9.37228 | + | 6.78073i | 0.646749 | + | 0.467915i | ||||
\(211\) | −11.3723 | + | 19.6974i | −0.782900 | + | 1.35602i | 0.147345 | + | 0.989085i | \(0.452927\pi\) |
−0.930246 | + | 0.366938i | \(0.880406\pi\) | |||||||
\(212\) | 12.4307 | − | 7.17687i | 0.853744 | − | 0.492909i | ||||
\(213\) | −1.32473 | − | 1.40965i | −0.0907693 | − | 0.0965873i | ||||
\(214\) | −3.68614 | + | 2.12819i | −0.251979 | + | 0.145480i | ||||
\(215\) | 8.74456 | − | 5.04868i | 0.596374 | − | 0.344317i | ||||
\(216\) | 4.00000 | − | 3.31662i | 0.272166 | − | 0.225668i | ||||
\(217\) | 11.8614 | + | 4.10891i | 0.805205 | + | 0.278931i | ||||
\(218\) | 17.2337 | + | 9.94987i | 1.16721 | + | 0.673891i | ||||
\(219\) | −1.25544 | + | 0.294954i | −0.0848346 | + | 0.0199311i | ||||
\(220\) | 3.46410i | 0.233550i | ||||||||
\(221\) | 3.43070 | + | 3.56529i | 0.230774 | + | 0.239827i | ||||
\(222\) | −10.3723 | + | 9.74749i | −0.696142 | + | 0.654209i | ||||
\(223\) | 3.11684 | − | 5.39853i | 0.208719 | − | 0.361512i | −0.742592 | − | 0.669744i | \(-0.766404\pi\) |
0.951311 | + | 0.308232i | \(0.0997372\pi\) | |||||||
\(224\) | −0.500000 | − | 2.59808i | −0.0334077 | − | 0.173591i | ||||
\(225\) | −3.68614 | + | 1.83324i | −0.245743 | + | 0.122216i | ||||
\(226\) | − | 17.0256i | − | 1.13252i | ||||||
\(227\) | −3.30298 | + | 1.90698i | −0.219227 | + | 0.126571i | −0.605592 | − | 0.795775i | \(-0.707064\pi\) |
0.386365 | + | 0.922346i | \(0.373730\pi\) | |||||||
\(228\) | −1.68614 | + | 5.59230i | −0.111667 | + | 0.370359i | ||||
\(229\) | 12.1168 | 0.800704 | 0.400352 | − | 0.916362i | \(-0.368888\pi\) | ||||
0.400352 | + | 0.916362i | \(0.368888\pi\) | |||||||
\(230\) | −1.18614 | − | 2.05446i | −0.0782118 | − | 0.135467i | ||||
\(231\) | 3.68614 | − | 5.09496i | 0.242530 | − | 0.335224i | ||||
\(232\) | 0.686141 | + | 0.396143i | 0.0450473 | + | 0.0260081i | ||||
\(233\) | − | 28.0627i | − | 1.83845i | −0.393737 | − | 0.919223i | \(-0.628818\pi\) | ||
0.393737 | − | 0.919223i | \(-0.371182\pi\) | |||||||
\(234\) | −1.94158 | − | 10.6410i | −0.126925 | − | 0.695622i | ||||
\(235\) | −10.7446 | −0.700898 | ||||||||
\(236\) | 8.18614 | + | 4.72627i | 0.532872 | + | 0.307654i | ||||
\(237\) | 25.9198 | − | 6.08963i | 1.68367 | − | 0.395564i | ||||
\(238\) | 3.43070 | + | 1.18843i | 0.222379 | + | 0.0770345i | ||||
\(239\) | −24.6060 | −1.59163 | −0.795814 | − | 0.605541i | \(-0.792957\pi\) | ||||
−0.795814 | + | 0.605541i | \(0.792957\pi\) | |||||||
\(240\) | 4.18614 | + | 1.26217i | 0.270214 | + | 0.0814727i | ||||
\(241\) | 0.627719 | + | 1.08724i | 0.0404349 | + | 0.0700353i | 0.885535 | − | 0.464573i | \(-0.153792\pi\) |
−0.845100 | + | 0.534609i | \(0.820459\pi\) | |||||||
\(242\) | −9.11684 | −0.586053 | ||||||||
\(243\) | 6.31386 | − | 14.2525i | 0.405034 | − | 0.914302i | ||||
\(244\) | 4.50000 | + | 2.59808i | 0.288083 | + | 0.166325i | ||||
\(245\) | 10.9307 | − | 13.8839i | 0.698337 | − | 0.887007i | ||||
\(246\) | 7.74456 | − | 7.27806i | 0.493775 | − | 0.464032i | ||||
\(247\) | 8.43070 | + | 8.76144i | 0.536433 | + | 0.557477i | ||||
\(248\) | 4.74456 | 0.301280 | ||||||||
\(249\) | 2.00000 | + | 8.51278i | 0.126745 | + | 0.539475i | ||||
\(250\) | 7.93070 | + | 4.57879i | 0.501582 | + | 0.289588i | ||||
\(251\) | −0.558422 | − | 0.967215i | −0.0352473 | − | 0.0610501i | 0.847864 | − | 0.530214i | \(-0.177889\pi\) |
−0.883111 | + | 0.469164i | \(0.844555\pi\) | |||||||
\(252\) | −4.81386 | − | 6.31084i | −0.303245 | − | 0.397546i | ||||
\(253\) | −1.11684 | + | 0.644810i | −0.0702154 | + | 0.0405389i | ||||
\(254\) | −7.55842 | − | 13.0916i | −0.474258 | − | 0.821438i | ||||
\(255\) | −4.37228 | + | 4.10891i | −0.273803 | + | 0.257310i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 11.0584 | − | 19.1537i | 0.689805 | − | 1.19478i | −0.282095 | − | 0.959386i | \(-0.591029\pi\) |
0.971901 | − | 0.235392i | \(-0.0756373\pi\) | |||||||
\(258\) | −6.74456 | + | 1.58457i | −0.419898 | + | 0.0986513i | ||||
\(259\) | 14.2337 | + | 16.4356i | 0.884438 | + | 1.02126i | ||||
\(260\) | 6.55842 | − | 6.31084i | 0.406736 | − | 0.391382i | ||||
\(261\) | 2.37228 | + | 0.147477i | 0.146841 | + | 0.00912859i | ||||
\(262\) | 9.30298 | − | 16.1132i | 0.574740 | − | 0.995479i | ||||
\(263\) | −12.0475 | − | 6.95565i | −0.742884 | − | 0.428904i | 0.0802332 | − | 0.996776i | \(-0.474433\pi\) |
−0.823117 | + | 0.567872i | \(0.807767\pi\) | |||||||
\(264\) | 0.686141 | − | 2.27567i | 0.0422290 | − | 0.140058i | ||||
\(265\) | 36.2337 | 2.22582 | ||||||||
\(266\) | 8.43070 | + | 2.92048i | 0.516920 | + | 0.179066i | ||||
\(267\) | 20.6861 | + | 6.23711i | 1.26597 | + | 0.381705i | ||||
\(268\) | 8.21782i | 0.501983i | ||||||||
\(269\) | 13.9307 | + | 24.1287i | 0.849370 | + | 1.47115i | 0.881771 | + | 0.471677i | \(0.156351\pi\) |
−0.0324014 | + | 0.999475i | \(0.510316\pi\) | |||||||
\(270\) | 12.9307 | − | 2.20193i | 0.786938 | − | 0.134005i | ||||
\(271\) | 2.00000 | − | 3.46410i | 0.121491 | − | 0.210429i | −0.798865 | − | 0.601511i | \(-0.794566\pi\) |
0.920356 | + | 0.391082i | \(0.127899\pi\) | |||||||
\(272\) | 1.37228 | 0.0832068 | ||||||||
\(273\) | −16.3614 | + | 2.30312i | −0.990237 | + | 0.139391i | ||||
\(274\) | 1.62772 | 0.0983341 | ||||||||
\(275\) | −0.941578 | + | 1.63086i | −0.0567793 | + | 0.0983446i | ||||
\(276\) | 0.372281 | + | 1.58457i | 0.0224087 | + | 0.0953801i | ||||
\(277\) | 4.74456 | + | 8.21782i | 0.285073 | + | 0.493761i | 0.972627 | − | 0.232372i | \(-0.0746488\pi\) |
−0.687554 | + | 0.726133i | \(0.741315\pi\) | |||||||
\(278\) | − | 20.9870i | − | 1.25872i | ||||||
\(279\) | 12.7446 | − | 6.33830i | 0.762997 | − | 0.379464i | ||||
\(280\) | 2.18614 | − | 6.31084i | 0.130647 | − | 0.377145i | ||||
\(281\) | 3.25544 | 0.194203 | 0.0971016 | − | 0.995274i | \(-0.469043\pi\) | ||||
0.0971016 | + | 0.995274i | \(0.469043\pi\) | |||||||
\(282\) | 7.05842 | + | 2.12819i | 0.420323 | + | 0.126732i | ||||
\(283\) | −6.55842 | − | 3.78651i | −0.389858 | − | 0.225084i | 0.292241 | − | 0.956345i | \(-0.405599\pi\) |
−0.682098 | + | 0.731260i | \(0.738932\pi\) | |||||||
\(284\) | −0.558422 | + | 0.967215i | −0.0331362 | + | 0.0573937i | ||||
\(285\) | −10.7446 | + | 10.0974i | −0.636453 | + | 0.598115i | ||||
\(286\) | −3.43070 | − | 3.56529i | −0.202862 | − | 0.210820i | ||||
\(287\) | −10.6277 | − | 12.2718i | −0.627334 | − | 0.724383i | ||||
\(288\) | −2.50000 | − | 1.65831i | −0.147314 | − | 0.0977170i | ||||
\(289\) | 7.55842 | − | 13.0916i | 0.444613 | − | 0.770092i | ||||
\(290\) | 1.00000 | + | 1.73205i | 0.0587220 | + | 0.101710i | ||||
\(291\) | −12.7446 | − | 13.5615i | −0.747099 | − | 0.794986i | ||||
\(292\) | 0.372281 | + | 0.644810i | 0.0217861 | + | 0.0377347i | ||||
\(293\) | −14.7446 | + | 8.51278i | −0.861387 | + | 0.497322i | −0.864476 | − | 0.502673i | \(-0.832350\pi\) |
0.00308982 | + | 0.999995i | \(0.499016\pi\) | |||||||
\(294\) | −9.93070 | + | 6.95565i | −0.579170 | + | 0.405662i | ||||
\(295\) | 11.9307 | + | 20.6646i | 0.694632 | + | 1.20314i | ||||
\(296\) | 7.11684 | + | 4.10891i | 0.413658 | + | 0.238826i | ||||
\(297\) | −1.19702 | − | 7.02939i | −0.0694579 | − | 0.407887i | ||||
\(298\) | −6.00000 | −0.347571 | ||||||||
\(299\) | 3.25544 | + | 0.939764i | 0.188267 | + | 0.0543479i | ||||
\(300\) | 1.62772 | + | 1.73205i | 0.0939764 | + | 0.100000i | ||||
\(301\) | 2.00000 | + | 10.3923i | 0.115278 | + | 0.599002i | ||||
\(302\) | 2.61684 | + | 1.51084i | 0.150582 | + | 0.0869388i | ||||
\(303\) | −1.62772 | + | 5.39853i | −0.0935100 | + | 0.310138i | ||||
\(304\) | 3.37228 | 0.193414 | ||||||||
\(305\) | 6.55842 | + | 11.3595i | 0.375534 | + | 0.650444i | ||||
\(306\) | 3.68614 | − | 1.83324i | 0.210723 | − | 0.104799i | ||||
\(307\) | 13.2337 | 0.755286 | 0.377643 | − | 0.925951i | \(-0.376735\pi\) | ||||
0.377643 | + | 0.925951i | \(0.376735\pi\) | |||||||
\(308\) | −3.43070 | − | 1.18843i | −0.195482 | − | 0.0677171i | ||||
\(309\) | 4.62772 | + | 19.6974i | 0.263262 | + | 1.12054i | ||||
\(310\) | 10.3723 | + | 5.98844i | 0.589106 | + | 0.340121i | ||||
\(311\) | −4.62772 | −0.262414 | −0.131207 | − | 0.991355i | \(-0.541885\pi\) | ||||
−0.131207 | + | 0.991355i | \(0.541885\pi\) | |||||||
\(312\) | −5.55842 | + | 2.84674i | −0.314684 | + | 0.161165i | ||||
\(313\) | 13.8564i | 0.783210i | 0.920133 | + | 0.391605i | \(0.128080\pi\) | ||||
−0.920133 | + | 0.391605i | \(0.871920\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.55842 | − | 19.8723i | −0.144151 | − | 1.11968i | ||||
\(316\) | −7.68614 | − | 13.3128i | −0.432379 | − | 0.748903i | ||||
\(317\) | 26.7446 | 1.50212 | 0.751062 | − | 0.660232i | \(-0.229542\pi\) | ||||
0.751062 | + | 0.660232i | \(0.229542\pi\) | |||||||
\(318\) | −23.8030 | − | 7.17687i | −1.33481 | − | 0.402459i | ||||
\(319\) | 0.941578 | − | 0.543620i | 0.0527182 | − | 0.0304369i | ||||
\(320\) | − | 2.52434i | − | 0.141115i | ||||||
\(321\) | 7.05842 | + | 2.12819i | 0.393963 | + | 0.118784i | ||||
\(322\) | 2.44158 | − | 0.469882i | 0.136064 | − | 0.0261855i | ||||
\(323\) | −2.31386 | + | 4.00772i | −0.128747 | + | 0.222996i | ||||
\(324\) | −8.93070 | − | 1.11469i | −0.496150 | − | 0.0619273i | ||||
\(325\) | 4.80298 | − | 1.18843i | 0.266422 | − | 0.0659223i | ||||
\(326\) | − | 10.3923i | − | 0.575577i | ||||||
\(327\) | −7.88316 | − | 33.5538i | −0.435940 | − | 1.85553i | ||||
\(328\) | −5.31386 | − | 3.06796i | −0.293409 | − | 0.169400i | ||||
\(329\) | 3.68614 | − | 10.6410i | 0.203224 | − | 0.586656i | ||||
\(330\) | 4.37228 | − | 4.10891i | 0.240686 | − | 0.226188i | ||||
\(331\) | −19.1168 | + | 11.0371i | −1.05076 | + | 0.606655i | −0.922861 | − | 0.385133i | \(-0.874156\pi\) |
−0.127896 | + | 0.991788i | \(0.540822\pi\) | |||||||
\(332\) | 4.37228 | − | 2.52434i | 0.239960 | − | 0.138541i | ||||
\(333\) | 24.6060 | + | 1.52967i | 1.34840 | + | 0.0838255i | ||||
\(334\) | −5.74456 | + | 3.31662i | −0.314328 | + | 0.181478i | ||||
\(335\) | −10.3723 | + | 17.9653i | −0.566698 | + | 0.981550i | ||||
\(336\) | −2.68614 | + | 3.71277i | −0.146541 | + | 0.202548i | ||||
\(337\) | 29.6060 | 1.61274 | 0.806370 | − | 0.591411i | \(-0.201429\pi\) | ||||
0.806370 | + | 0.591411i | \(0.201429\pi\) | |||||||
\(338\) | −0.500000 | + | 12.9904i | −0.0271964 | + | 0.706584i | ||||
\(339\) | −21.4891 | + | 20.1947i | −1.16713 | + | 1.09683i | ||||
\(340\) | 3.00000 | + | 1.73205i | 0.162698 | + | 0.0939336i | ||||
\(341\) | 3.25544 | − | 5.63858i | 0.176292 | − | 0.305346i | ||||
\(342\) | 9.05842 | − | 4.50506i | 0.489823 | − | 0.243605i | ||||
\(343\) | 10.0000 | + | 15.5885i | 0.539949 | + | 0.841698i | ||||
\(344\) | 2.00000 | + | 3.46410i | 0.107833 | + | 0.186772i | ||||
\(345\) | −1.18614 | + | 3.93398i | −0.0638597 | + | 0.211799i | ||||
\(346\) | −19.1168 | −1.02773 | ||||||||
\(347\) | 13.5475 | − | 7.82168i | 0.727270 | − | 0.419890i | −0.0901523 | − | 0.995928i | \(-0.528735\pi\) |
0.817423 | + | 0.576038i | \(0.195402\pi\) | |||||||
\(348\) | −0.313859 | − | 1.33591i | −0.0168246 | − | 0.0716121i | ||||
\(349\) | 1.44158 | − | 2.49689i | 0.0771659 | − | 0.133655i | −0.824860 | − | 0.565337i | \(-0.808746\pi\) |
0.902026 | + | 0.431682i | \(0.142080\pi\) | |||||||
\(350\) | 2.74456 | − | 2.37686i | 0.146703 | − | 0.127049i | ||||
\(351\) | −11.1277 | + | 15.0723i | −0.593954 | + | 0.804499i | ||||
\(352\) | −1.37228 | −0.0731428 | ||||||||
\(353\) | 19.6277 | + | 11.3321i | 1.04468 | + | 0.603145i | 0.921155 | − | 0.389197i | \(-0.127247\pi\) |
0.123523 | + | 0.992342i | \(0.460581\pi\) | |||||||
\(354\) | −3.74456 | − | 15.9383i | −0.199021 | − | 0.847112i | ||||
\(355\) | −2.44158 | + | 1.40965i | −0.129586 | + | 0.0748162i | ||||
\(356\) | − | 12.4742i | − | 0.661132i | ||||||
\(357\) | −2.56930 | − | 5.73977i | −0.135982 | − | 0.303781i | ||||
\(358\) | 1.37228 | − | 0.792287i | 0.0725273 | − | 0.0418737i | ||||
\(359\) | −22.3723 | −1.18076 | −0.590382 | − | 0.807124i | \(-0.701023\pi\) | ||||
−0.590382 | + | 0.807124i | \(0.701023\pi\) | |||||||
\(360\) | −3.37228 | − | 6.78073i | −0.177735 | − | 0.357376i | ||||
\(361\) | 3.81386 | − | 6.60580i | 0.200729 | − | 0.347674i | ||||
\(362\) | 10.5000 | + | 6.06218i | 0.551868 | + | 0.318621i | ||||
\(363\) | 10.8139 | + | 11.5070i | 0.567580 | + | 0.603961i | ||||
\(364\) | 4.00000 | + | 8.66025i | 0.209657 | + | 0.453921i | ||||
\(365\) | 1.87953i | 0.0983790i | ||||||||
\(366\) | −2.05842 | − | 8.76144i | −0.107595 | − | 0.457968i | ||||
\(367\) | 8.23369 | + | 4.75372i | 0.429795 | + | 0.248142i | 0.699259 | − | 0.714868i | \(-0.253513\pi\) |
−0.269464 | + | 0.963010i | \(0.586847\pi\) | |||||||
\(368\) | 0.813859 | − | 0.469882i | 0.0424254 | − | 0.0244943i | ||||
\(369\) | −18.3723 | − | 1.14214i | −0.956423 | − | 0.0594576i | ||||
\(370\) | 10.3723 | + | 17.9653i | 0.539229 | + | 0.933972i | ||||
\(371\) | −12.4307 | + | 35.8843i | −0.645370 | + | 1.86302i | ||||
\(372\) | −5.62772 | − | 5.98844i | −0.291784 | − | 0.310486i | ||||
\(373\) | −4.00000 | − | 6.92820i | −0.207112 | − | 0.358729i | 0.743691 | − | 0.668523i | \(-0.233073\pi\) |
−0.950804 | + | 0.309794i | \(0.899740\pi\) | |||||||
\(374\) | 0.941578 | − | 1.63086i | 0.0486878 | − | 0.0843298i | ||||
\(375\) | −3.62772 | − | 15.4410i | −0.187335 | − | 0.797369i | ||||
\(376\) | − | 4.25639i | − | 0.219506i | ||||||
\(377\) | −2.74456 | − | 0.792287i | −0.141352 | − | 0.0408049i | ||||
\(378\) | −2.25544 | + | 13.5615i | −0.116007 | + | 0.697526i | ||||
\(379\) | −22.1168 | − | 12.7692i | −1.13607 | − | 0.655908i | −0.190613 | − | 0.981665i | \(-0.561047\pi\) |
−0.945453 | + | 0.325757i | \(0.894381\pi\) | |||||||
\(380\) | 7.37228 | + | 4.25639i | 0.378190 | + | 0.218348i | ||||
\(381\) | −7.55842 | + | 25.0684i | −0.387230 | + | 1.28430i | ||||
\(382\) | 18.9051i | 0.967268i | ||||||||
\(383\) | 27.4307 | − | 15.8371i | 1.40164 | − | 0.809239i | 0.407082 | − | 0.913392i | \(-0.366546\pi\) |
0.994561 | + | 0.104152i | \(0.0332130\pi\) | |||||||
\(384\) | −0.500000 | + | 1.65831i | −0.0255155 | + | 0.0846254i | ||||
\(385\) | −6.00000 | − | 6.92820i | −0.305788 | − | 0.353094i | ||||
\(386\) | 5.61684 | − | 3.24289i | 0.285890 | − | 0.165059i | ||||
\(387\) | 10.0000 | + | 6.63325i | 0.508329 | + | 0.337187i | ||||
\(388\) | −5.37228 | + | 9.30506i | −0.272736 | + | 0.472393i | ||||
\(389\) | − | 22.6641i | − | 1.14912i | −0.818463 | − | 0.574559i | \(-0.805174\pi\) | ||
0.818463 | − | 0.574559i | \(-0.194826\pi\) | |||||||
\(390\) | −15.7446 | − | 0.792287i | −0.797257 | − | 0.0401190i | ||||
\(391\) | 1.28962i | 0.0652189i | ||||||||
\(392\) | 5.50000 | + | 4.33013i | 0.277792 | + | 0.218704i | ||||
\(393\) | −31.3723 | + | 7.37063i | −1.58252 | + | 0.371799i | ||||
\(394\) | −7.80298 | − | 13.5152i | −0.393109 | − | 0.680884i | ||||
\(395\) | − | 38.8048i | − | 1.95248i | ||||||
\(396\) | −3.68614 | + | 1.83324i | −0.185236 | + | 0.0921238i | ||||
\(397\) | −6.87228 | − | 11.9031i | −0.344910 | − | 0.597401i | 0.640427 | − | 0.768019i | \(-0.278757\pi\) |
−0.985337 | + | 0.170617i | \(0.945424\pi\) | |||||||
\(398\) | 3.46410i | 0.173640i | ||||||||
\(399\) | −6.31386 | − | 14.1051i | −0.316088 | − | 0.706137i | ||||
\(400\) | 0.686141 | − | 1.18843i | 0.0343070 | − | 0.0594215i | ||||
\(401\) | 5.74456 | − | 9.94987i | 0.286870 | − | 0.496873i | −0.686191 | − | 0.727421i | \(-0.740719\pi\) |
0.973061 | + | 0.230548i | \(0.0740520\pi\) | |||||||
\(402\) | 10.3723 | − | 9.74749i | 0.517322 | − | 0.486161i | ||||
\(403\) | −16.6060 | + | 4.10891i | −0.827202 | + | 0.204679i | ||||
\(404\) | 3.25544 | 0.161964 | ||||||||
\(405\) | −18.1168 | − | 13.7089i | −0.900233 | − | 0.681202i | ||||
\(406\) | −2.05842 | + | 0.396143i | −0.102158 | + | 0.0196603i | ||||
\(407\) | 9.76631 | − | 5.63858i | 0.484098 | − | 0.279494i | ||||
\(408\) | −1.62772 | − | 1.73205i | −0.0805841 | − | 0.0857493i | ||||
\(409\) | −0.744563 | − | 1.28962i | −0.0368163 | − | 0.0637676i | 0.847030 | − | 0.531545i | \(-0.178388\pi\) |
−0.883846 | + | 0.467777i | \(0.845055\pi\) | |||||||
\(410\) | −7.74456 | − | 13.4140i | −0.382477 | − | 0.662469i | ||||
\(411\) | −1.93070 | − | 2.05446i | −0.0952346 | − | 0.101339i | ||||
\(412\) | 10.1168 | − | 5.84096i | 0.498421 | − | 0.287764i | ||||
\(413\) | −24.5584 | + | 4.72627i | −1.20844 | + | 0.232565i | ||||
\(414\) | 1.55842 | − | 2.34941i | 0.0765923 | − | 0.115467i | ||||
\(415\) | 12.7446 | 0.625606 | ||||||||
\(416\) | 2.50000 | + | 2.59808i | 0.122573 | + | 0.127381i | ||||
\(417\) | −26.4891 | + | 24.8935i | −1.29718 | + | 1.21904i | ||||
\(418\) | 2.31386 | − | 4.00772i | 0.113175 | − | 0.196024i | ||||
\(419\) | 8.74456 | − | 15.1460i | 0.427200 | − | 0.739932i | −0.569423 | − | 0.822045i | \(-0.692833\pi\) |
0.996623 | + | 0.0821127i | \(0.0261667\pi\) | |||||||
\(420\) | −10.5584 | + | 4.72627i | −0.515198 | + | 0.230618i | ||||
\(421\) | − | 12.9715i | − | 0.632194i | −0.948727 | − | 0.316097i | \(-0.897627\pi\) | ||
0.948727 | − | 0.316097i | \(-0.102373\pi\) | |||||||
\(422\) | −11.3723 | − | 19.6974i | −0.553594 | − | 0.958853i | ||||
\(423\) | −5.68614 | − | 11.4333i | −0.276470 | − | 0.555904i | ||||
\(424\) | 14.3537i | 0.697079i | ||||||||
\(425\) | 0.941578 | + | 1.63086i | 0.0456732 | + | 0.0791084i | ||||
\(426\) | 1.88316 | − | 0.442430i | 0.0912392 | − | 0.0214358i | ||||
\(427\) | −13.5000 | + | 2.59808i | −0.653311 | + | 0.125730i | ||||
\(428\) | − | 4.25639i | − | 0.205740i | ||||||
\(429\) | −0.430703 | + | 8.55906i | −0.0207946 | + | 0.413236i | ||||
\(430\) | 10.0974i | 0.486938i | ||||||||
\(431\) | −9.81386 | + | 16.9981i | −0.472717 | + | 0.818770i | −0.999512 | − | 0.0312223i | \(-0.990060\pi\) |
0.526795 | + | 0.849992i | \(0.323393\pi\) | |||||||
\(432\) | 0.872281 | + | 5.12241i | 0.0419677 | + | 0.246452i | ||||
\(433\) | −30.3505 | + | 17.5229i | −1.45855 | + | 0.842096i | −0.998940 | − | 0.0460230i | \(-0.985345\pi\) |
−0.459613 | + | 0.888119i | \(0.652012\pi\) | |||||||
\(434\) | −9.48913 | + | 8.21782i | −0.455493 | + | 0.394468i | ||||
\(435\) | 1.00000 | − | 3.31662i | 0.0479463 | − | 0.159020i | ||||
\(436\) | −17.2337 | + | 9.94987i | −0.825344 | + | 0.476513i | ||||
\(437\) | 3.16915i | 0.151601i | ||||||||
\(438\) | 0.372281 | − | 1.23472i | 0.0177883 | − | 0.0589971i | ||||
\(439\) | −30.3505 | − | 17.5229i | −1.44855 | − | 0.836322i | −0.450157 | − | 0.892950i | \(-0.648632\pi\) |
−0.998395 | + | 0.0566279i | \(0.981965\pi\) | |||||||
\(440\) | −3.00000 | − | 1.73205i | −0.143019 | − | 0.0825723i | ||||
\(441\) | 20.5584 | + | 4.28384i | 0.978972 | + | 0.203992i | ||||
\(442\) | −4.80298 | + | 1.18843i | −0.228455 | + | 0.0565279i | ||||
\(443\) | − | 11.1846i | − | 0.531396i | −0.964056 | − | 0.265698i | \(-0.914398\pi\) | ||
0.964056 | − | 0.265698i | \(-0.0856024\pi\) | |||||||
\(444\) | −3.25544 | − | 13.8564i | −0.154496 | − | 0.657596i | ||||
\(445\) | 15.7446 | − | 27.2704i | 0.746364 | − | 1.29274i | ||||
\(446\) | 3.11684 | + | 5.39853i | 0.147587 | + | 0.255628i | ||||
\(447\) | 7.11684 | + | 7.57301i | 0.336615 | + | 0.358191i | ||||
\(448\) | 2.50000 | + | 0.866025i | 0.118114 | + | 0.0409159i | ||||
\(449\) | 0.302985 | + | 0.524785i | 0.0142987 | + | 0.0247661i | 0.873086 | − | 0.487566i | \(-0.162115\pi\) |
−0.858788 | + | 0.512332i | \(0.828782\pi\) | |||||||
\(450\) | 0.255437 | − | 4.10891i | 0.0120414 | − | 0.193696i | ||||
\(451\) | −7.29211 | + | 4.21010i | −0.343372 | + | 0.198246i | ||||
\(452\) | 14.7446 | + | 8.51278i | 0.693526 | + | 0.400407i | ||||
\(453\) | −1.19702 | − | 5.09496i | −0.0562407 | − | 0.239382i | ||||
\(454\) | − | 3.81396i | − | 0.178998i | ||||||
\(455\) | −2.18614 | + | 23.9812i | −0.102488 | + | 1.12426i | ||||
\(456\) | −4.00000 | − | 4.25639i | −0.187317 | − | 0.199324i | ||||
\(457\) | −16.6753 | − | 9.62747i | −0.780036 | − | 0.450354i | 0.0564070 | − | 0.998408i | \(-0.482036\pi\) |
−0.836443 | + | 0.548054i | \(0.815369\pi\) | |||||||
\(458\) | −6.05842 | + | 10.4935i | −0.283091 | + | 0.490329i | ||||
\(459\) | −6.68614 | − | 2.47805i | −0.312082 | − | 0.115666i | ||||
\(460\) | 2.37228 | 0.110608 | ||||||||
\(461\) | −13.0693 | + | 7.54556i | −0.608698 | + | 0.351432i | −0.772456 | − | 0.635069i | \(-0.780972\pi\) |
0.163758 | + | 0.986501i | \(0.447638\pi\) | |||||||
\(462\) | 2.56930 | + | 5.73977i | 0.119535 | + | 0.267038i | ||||
\(463\) | − | 30.7345i | − | 1.42835i | −0.699966 | − | 0.714176i | \(-0.746801\pi\) | ||
0.699966 | − | 0.714176i | \(-0.253199\pi\) | |||||||
\(464\) | −0.686141 | + | 0.396143i | −0.0318533 | + | 0.0183905i | ||||
\(465\) | −4.74456 | − | 20.1947i | −0.220024 | − | 0.936507i | ||||
\(466\) | 24.3030 | + | 14.0313i | 1.12581 | + | 0.649989i | ||||
\(467\) | 19.6277 | 0.908263 | 0.454131 | − | 0.890935i | \(-0.349950\pi\) | ||||
0.454131 | + | 0.890935i | \(0.349950\pi\) | |||||||
\(468\) | 10.1861 | + | 3.63903i | 0.470855 | + | 0.168214i | ||||
\(469\) | −14.2337 | − | 16.4356i | −0.657251 | − | 0.758928i | ||||
\(470\) | 5.37228 | − | 9.30506i | 0.247805 | − | 0.429211i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.18614 | + | 4.72627i | −0.376798 | + | 0.217544i | ||||
\(473\) | 5.48913 | 0.252390 | ||||||||
\(474\) | −7.68614 | + | 25.4920i | −0.353036 | + | 1.17089i | ||||
\(475\) | 2.31386 | + | 4.00772i | 0.106167 | + | 0.183887i | ||||
\(476\) | −2.74456 | + | 2.37686i | −0.125797 | + | 0.108943i | ||||
\(477\) | 19.1753 | + | 38.5562i | 0.877975 | + | 1.76537i | ||||
\(478\) | 12.3030 | − | 21.3094i | 0.562725 | − | 0.974669i | ||||
\(479\) | 22.8030 | + | 13.1653i | 1.04189 | + | 0.601538i | 0.920369 | − | 0.391050i | \(-0.127888\pi\) |
0.121526 | + | 0.992588i | \(0.461221\pi\) | |||||||
\(480\) | −3.18614 | + | 2.99422i | −0.145427 | + | 0.136667i | ||||
\(481\) | −28.4674 | − | 8.21782i | −1.29800 | − | 0.374701i | ||||
\(482\) | −1.25544 | −0.0571836 | ||||||||
\(483\) | −3.48913 | − | 2.52434i | −0.158761 | − | 0.114861i | ||||
\(484\) | 4.55842 | − | 7.89542i | 0.207201 | − | 0.358883i | ||||
\(485\) | −23.4891 | + | 13.5615i | −1.06659 | + | 0.615794i | ||||
\(486\) | 9.18614 | + | 12.5942i | 0.416692 | + | 0.571286i | ||||
\(487\) | −9.38316 | + | 5.41737i | −0.425191 | + | 0.245484i | −0.697296 | − | 0.716783i | \(-0.745614\pi\) |
0.272105 | + | 0.962268i | \(0.412280\pi\) | |||||||
\(488\) | −4.50000 | + | 2.59808i | −0.203705 | + | 0.117609i | ||||
\(489\) | −13.1168 | + | 12.3267i | −0.593164 | + | 0.557434i | ||||
\(490\) | 6.55842 | + | 16.4082i | 0.296279 | + | 0.741247i | ||||
\(491\) | −33.6060 | − | 19.4024i | −1.51662 | − | 0.875619i | −0.999810 | − | 0.0195166i | \(-0.993787\pi\) |
−0.516807 | − | 0.856102i | \(-0.672879\pi\) | |||||||
\(492\) | 2.43070 | + | 10.3460i | 0.109585 | + | 0.466435i | ||||
\(493\) | − | 1.08724i | − | 0.0489669i | ||||||
\(494\) | −11.8030 | + | 2.92048i | −0.531041 | + | 0.131399i | ||||
\(495\) | −10.3723 | − | 0.644810i | −0.466199 | − | 0.0289821i | ||||
\(496\) | −2.37228 | + | 4.10891i | −0.106519 | + | 0.184496i | ||||
\(497\) | −0.558422 | − | 2.90165i | −0.0250486 | − | 0.130157i | ||||
\(498\) | −8.37228 | − | 2.52434i | −0.375171 | − | 0.113118i | ||||
\(499\) | − | 23.3639i | − | 1.04591i | −0.852360 | − | 0.522955i | \(-0.824830\pi\) | ||
0.852360 | − | 0.522955i | \(-0.175170\pi\) | |||||||
\(500\) | −7.93070 | + | 4.57879i | −0.354672 | + | 0.204770i | ||||
\(501\) | 11.0000 | + | 3.31662i | 0.491444 | + | 0.148176i | ||||
\(502\) | 1.11684 | 0.0498472 | ||||||||
\(503\) | 11.4891 | + | 19.8997i | 0.512275 | + | 0.887286i | 0.999899 | + | 0.0142322i | \(0.00453039\pi\) |
−0.487624 | + | 0.873054i | \(0.662136\pi\) | |||||||
\(504\) | 7.87228 | − | 1.01350i | 0.350659 | − | 0.0451450i | ||||
\(505\) | 7.11684 | + | 4.10891i | 0.316695 | + | 0.182844i | ||||
\(506\) | − | 1.28962i | − | 0.0573306i | ||||||
\(507\) | 16.9891 | − | 14.7773i | 0.754514 | − | 0.656284i | ||||
\(508\) | 15.1168 | 0.670701 | ||||||||
\(509\) | 23.1861 | + | 13.3865i | 1.02771 | + | 0.593347i | 0.916327 | − | 0.400431i | \(-0.131139\pi\) |
0.111381 | + | 0.993778i | \(0.464473\pi\) | |||||||
\(510\) | −1.37228 | − | 5.84096i | −0.0607656 | − | 0.258642i | ||||
\(511\) | −1.86141 | − | 0.644810i | −0.0823438 | − | 0.0285247i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −16.4307 | − | 6.08963i | −0.725433 | − | 0.268864i | ||||
\(514\) | 11.0584 | + | 19.1537i | 0.487766 | + | 0.844836i | ||||
\(515\) | 29.4891 | 1.29945 | ||||||||
\(516\) | 2.00000 | − | 6.63325i | 0.0880451 | − | 0.292013i | ||||
\(517\) | −5.05842 | − | 2.92048i | −0.222469 | − | 0.128443i | ||||
\(518\) | −21.3505 | + | 4.10891i | −0.938089 | + | 0.180535i | ||||
\(519\) | 22.6753 | + | 24.1287i | 0.995334 | + | 1.05913i | ||||
\(520\) | 2.18614 | + | 8.83518i | 0.0958686 | + | 0.387448i | ||||
\(521\) | 16.1168 | 0.706092 | 0.353046 | − | 0.935606i | \(-0.385146\pi\) | ||||
0.353046 | + | 0.935606i | \(0.385146\pi\) | |||||||
\(522\) | −1.31386 | + | 1.98072i | −0.0575061 | + | 0.0866936i | ||||
\(523\) | 7.50000 | + | 4.33013i | 0.327952 | + | 0.189343i | 0.654932 | − | 0.755688i | \(-0.272697\pi\) |
−0.326979 | + | 0.945031i | \(0.606031\pi\) | |||||||
\(524\) | 9.30298 | + | 16.1132i | 0.406403 | + | 0.703910i | ||||
\(525\) | −6.25544 | − | 0.644810i | −0.273010 | − | 0.0281418i | ||||
\(526\) | 12.0475 | − | 6.95565i | 0.525298 | − | 0.303281i | ||||
\(527\) | −3.25544 | − | 5.63858i | −0.141809 | − | 0.245621i | ||||
\(528\) | 1.62772 | + | 1.73205i | 0.0708374 | + | 0.0753778i | ||||
\(529\) | −11.0584 | − | 19.1537i | −0.480801 | − | 0.832772i | ||||
\(530\) | −18.1168 | + | 31.3793i | −0.786945 | + | 1.36303i | ||||
\(531\) | −15.6753 | + | 23.6314i | −0.680249 | + | 1.02551i | ||||
\(532\) | −6.74456 | + | 5.84096i | −0.292414 | + | 0.253238i | ||||
\(533\) | 21.2554 | + | 6.13592i | 0.920675 | + | 0.265776i | ||||
\(534\) | −15.7446 | + | 14.7962i | −0.681334 | + | 0.640293i | ||||
\(535\) | 5.37228 | − | 9.30506i | 0.232264 | − | 0.402293i | ||||
\(536\) | −7.11684 | − | 4.10891i | −0.307401 | − | 0.177478i | ||||
\(537\) | −2.62772 | − | 0.792287i | −0.113394 | − | 0.0341897i | ||||
\(538\) | −27.8614 | −1.20119 | ||||||||
\(539\) | 8.91983 | − | 3.56529i | 0.384204 | − | 0.153568i | ||||
\(540\) | −4.55842 | + | 12.2993i | −0.196163 | + | 0.529277i | ||||
\(541\) | − | 18.6101i | − | 0.800112i | −0.916491 | − | 0.400056i | \(-0.868991\pi\) | ||
0.916491 | − | 0.400056i | \(-0.131009\pi\) | |||||||
\(542\) | 2.00000 | + | 3.46410i | 0.0859074 | + | 0.148796i | ||||
\(543\) | −4.80298 | − | 20.4434i | −0.206116 | − | 0.877309i | ||||
\(544\) | −0.686141 | + | 1.18843i | −0.0294180 | + | 0.0509535i | ||||
\(545\) | −50.2337 | −2.15177 | ||||||||
\(546\) | 6.18614 | − | 15.3210i | 0.264742 | − | 0.655676i | ||||
\(547\) | 31.4891 | 1.34638 | 0.673189 | − | 0.739471i | \(-0.264924\pi\) | ||||
0.673189 | + | 0.739471i | \(0.264924\pi\) | |||||||
\(548\) | −0.813859 | + | 1.40965i | −0.0347663 | + | 0.0602171i | ||||
\(549\) | −8.61684 | + | 12.9904i | −0.367758 | + | 0.554416i | ||||
\(550\) | −0.941578 | − | 1.63086i | −0.0401490 | − | 0.0695401i | ||||
\(551\) | − | 2.67181i | − | 0.113823i | ||||||
\(552\) | −1.55842 | − | 0.469882i | −0.0663308 | − | 0.0199995i | ||||
\(553\) | 38.4307 | + | 13.3128i | 1.63424 | + | 0.566117i | ||||
\(554\) | −9.48913 | −0.403154 | ||||||||
\(555\) | 10.3723 | − | 34.4010i | 0.440279 | − | 1.46024i | ||||
\(556\) | 18.1753 | + | 10.4935i | 0.770803 | + | 0.445023i | ||||
\(557\) | 7.80298 | − | 13.5152i | 0.330623 | − | 0.572656i | −0.652011 | − | 0.758209i | \(-0.726074\pi\) |
0.982634 | + | 0.185553i | \(0.0594078\pi\) | |||||||
\(558\) | −0.883156 | + | 14.2063i | −0.0373870 | + | 0.601399i | ||||
\(559\) | −10.0000 | − | 10.3923i | −0.422955 | − | 0.439548i | ||||
\(560\) | 4.37228 | + | 5.04868i | 0.184763 | + | 0.213345i | ||||
\(561\) | −3.17527 | + | 0.746000i | −0.134060 | + | 0.0314961i | ||||
\(562\) | −1.62772 | + | 2.81929i | −0.0686612 | + | 0.118925i | ||||
\(563\) | −18.0000 | − | 31.1769i | −0.758610 | − | 1.31395i | −0.943560 | − | 0.331202i | \(-0.892546\pi\) |
0.184950 | − | 0.982748i | \(-0.440788\pi\) | |||||||
\(564\) | −5.37228 | + | 5.04868i | −0.226214 | + | 0.212588i | ||||
\(565\) | 21.4891 | + | 37.2203i | 0.904054 | + | 1.56587i | ||||
\(566\) | 6.55842 | − | 3.78651i | 0.275671 | − | 0.159159i | ||||
\(567\) | 19.7921 | − | 13.2390i | 0.831190 | − | 0.555988i | ||||
\(568\) | −0.558422 | − | 0.967215i | −0.0234309 | − | 0.0405835i | ||||
\(569\) | −19.1644 | − | 11.0646i | −0.803413 | − | 0.463851i | 0.0412501 | − | 0.999149i | \(-0.486866\pi\) |
−0.844663 | + | 0.535298i | \(0.820199\pi\) | |||||||
\(570\) | −3.37228 | − | 14.3537i | −0.141249 | − | 0.601212i | ||||
\(571\) | 13.4891 | 0.564502 | 0.282251 | − | 0.959341i | \(-0.408919\pi\) | ||||
0.282251 | + | 0.959341i | \(0.408919\pi\) | |||||||
\(572\) | 4.80298 | − | 1.18843i | 0.200823 | − | 0.0496908i | ||||
\(573\) | 23.8614 | − | 22.4241i | 0.996825 | − | 0.936780i | ||||
\(574\) | 15.9416 | − | 3.06796i | 0.665389 | − | 0.128054i | ||||
\(575\) | 1.11684 | + | 0.644810i | 0.0465756 | + | 0.0268904i | ||||
\(576\) | 2.68614 | − | 1.33591i | 0.111923 | − | 0.0556628i | ||||
\(577\) | 40.2337 | 1.67495 | 0.837475 | − | 0.546475i | \(-0.184031\pi\) | ||||
0.837475 | + | 0.546475i | \(0.184031\pi\) | |||||||
\(578\) | 7.55842 | + | 13.0916i | 0.314389 | + | 0.544538i | ||||
\(579\) | −10.7554 | − | 3.24289i | −0.446981 | − | 0.134770i | ||||
\(580\) | −2.00000 | −0.0830455 | ||||||||
\(581\) | −4.37228 | + | 12.6217i | −0.181393 | + | 0.523636i | ||||
\(582\) | 18.1168 | − | 4.25639i | 0.750967 | − | 0.176433i | ||||
\(583\) | 17.0584 | + | 9.84868i | 0.706488 | + | 0.407891i | ||||
\(584\) | −0.744563 | −0.0308102 | ||||||||
\(585\) | 17.6753 | + | 20.8121i | 0.730782 | + | 0.860473i | ||||
\(586\) | − | 17.0256i | − | 0.703319i | ||||||
\(587\) | 5.95245 | + | 3.43665i | 0.245684 | + | 0.141846i | 0.617786 | − | 0.786346i | \(-0.288030\pi\) |
−0.372102 | + | 0.928192i | \(0.621363\pi\) | |||||||
\(588\) | −1.05842 | − | 12.0781i | −0.0436486 | − | 0.498091i | ||||
\(589\) | −8.00000 | − | 13.8564i | −0.329634 | − | 0.570943i | ||||
\(590\) | −23.8614 | −0.982359 | ||||||||
\(591\) | −7.80298 | + | 25.8796i | −0.320972 | + | 1.06454i | ||||
\(592\) | −7.11684 | + | 4.10891i | −0.292500 | + | 0.168875i | ||||
\(593\) | − | 26.3306i | − | 1.08127i | −0.841258 | − | 0.540634i | \(-0.818184\pi\) | ||
0.841258 | − | 0.540634i | \(-0.181816\pi\) | |||||||
\(594\) | 6.68614 | + | 2.47805i | 0.274336 | + | 0.101676i | ||||
\(595\) | −9.00000 | + | 1.73205i | −0.368964 | + | 0.0710072i | ||||
\(596\) | 3.00000 | − | 5.19615i | 0.122885 | − | 0.212843i | ||||
\(597\) | 4.37228 | − | 4.10891i | 0.178946 | − | 0.168167i | ||||
\(598\) | −2.44158 | + | 2.34941i | −0.0998435 | + | 0.0960745i | ||||
\(599\) | 13.9113i | 0.568401i | 0.958765 | + | 0.284200i | \(0.0917281\pi\) | ||||
−0.958765 | + | 0.284200i | \(0.908272\pi\) | |||||||
\(600\) | −2.31386 | + | 0.543620i | −0.0944629 | + | 0.0221932i | ||||
\(601\) | −19.8832 | − | 11.4795i | −0.811051 | − | 0.468260i | 0.0362698 | − | 0.999342i | \(-0.488452\pi\) |
−0.847321 | + | 0.531082i | \(0.821786\pi\) | |||||||
\(602\) | −10.0000 | − | 3.46410i | −0.407570 | − | 0.141186i | ||||
\(603\) | −24.6060 | − | 1.52967i | −1.00203 | − | 0.0622930i | ||||
\(604\) | −2.61684 | + | 1.51084i | −0.106478 | + | 0.0614750i | ||||
\(605\) | 19.9307 | − | 11.5070i | 0.810298 | − | 0.467826i | ||||
\(606\) | −3.86141 | − | 4.10891i | −0.156859 | − | 0.166913i | ||||
\(607\) | 21.3505 | − | 12.3267i | 0.866591 | − | 0.500327i | 0.000377344 | − | 1.00000i | \(-0.499880\pi\) |
0.866214 | + | 0.499673i | \(0.166547\pi\) | |||||||
\(608\) | −1.68614 | + | 2.92048i | −0.0683820 | + | 0.118441i | ||||
\(609\) | 2.94158 | + | 2.12819i | 0.119199 | + | 0.0862388i | ||||
\(610\) | −13.1168 | −0.531085 | ||||||||
\(611\) | 3.68614 | + | 14.8974i | 0.149125 | + | 0.602683i | ||||
\(612\) | −0.255437 | + | 4.10891i | −0.0103254 | + | 0.166093i | ||||
\(613\) | 26.2337 | + | 15.1460i | 1.05957 | + | 0.611742i | 0.925313 | − | 0.379204i | \(-0.123802\pi\) |
0.134256 | + | 0.990947i | \(0.457136\pi\) | |||||||
\(614\) | −6.61684 | + | 11.4607i | −0.267034 | + | 0.462517i | ||||
\(615\) | −7.74456 | + | 25.6858i | −0.312291 | + | 1.03575i | ||||
\(616\) | 2.74456 | − | 2.37686i | 0.110582 | − | 0.0957665i | ||||
\(617\) | 3.30298 | + | 5.72094i | 0.132973 | + | 0.230316i | 0.924821 | − | 0.380402i | \(-0.124214\pi\) |
−0.791848 | + | 0.610718i | \(0.790881\pi\) | |||||||
\(618\) | −19.3723 | − | 5.84096i | −0.779267 | − | 0.234958i | ||||
\(619\) | −35.4674 | −1.42555 | −0.712777 | − | 0.701391i | \(-0.752563\pi\) | ||||
−0.712777 | + | 0.701391i | \(0.752563\pi\) | |||||||
\(620\) | −10.3723 | + | 5.98844i | −0.416561 | + | 0.240502i | ||||
\(621\) | −4.81386 | + | 0.819738i | −0.193174 | + | 0.0328950i | ||||
\(622\) | 2.31386 | − | 4.00772i | 0.0927773 | − | 0.160695i | ||||
\(623\) | 21.6060 | + | 24.9484i | 0.865625 | + | 0.999538i | ||||
\(624\) | 0.313859 | − | 6.23711i | 0.0125644 | − | 0.249684i | ||||
\(625\) | −29.9783 | −1.19913 | ||||||||
\(626\) | −12.0000 | − | 6.92820i | −0.479616 | − | 0.276907i | ||||
\(627\) | −7.80298 | + | 1.83324i | −0.311621 | + | 0.0732126i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 11.2772i | − | 0.449650i | ||||||
\(630\) | 18.4891 | + | 7.72049i | 0.736624 | + | 0.307592i | ||||
\(631\) | −28.5000 | + | 16.4545i | −1.13457 | + | 0.655043i | −0.945080 | − | 0.326841i | \(-0.894016\pi\) |
−0.189488 | + | 0.981883i | \(0.560683\pi\) | |||||||
\(632\) | 15.3723 | 0.611477 | ||||||||
\(633\) | −11.3723 | + | 37.7176i | −0.452008 | + | 1.49914i | ||||
\(634\) | −13.3723 | + | 23.1615i | −0.531081 | + | 0.919860i | ||||
\(635\) | 33.0475 | + | 19.0800i | 1.31145 | + | 0.757167i | ||||
\(636\) | 18.1168 | − | 17.0256i | 0.718380 | − | 0.675107i | ||||
\(637\) | −23.0000 | − | 10.3923i | −0.911293 | − | 0.411758i | ||||
\(638\) | 1.08724i | 0.0430443i | ||||||||
\(639\) | −2.79211 | − | 1.85208i | −0.110454 | − | 0.0732670i | ||||
\(640\) | 2.18614 | + | 1.26217i | 0.0864148 | + | 0.0498916i | ||||
\(641\) | 25.1644 | − | 14.5287i | 0.993934 | − | 0.573848i | 0.0874859 | − | 0.996166i | \(-0.472117\pi\) |
0.906448 | + | 0.422318i | \(0.138783\pi\) | |||||||
\(642\) | −5.37228 | + | 5.04868i | −0.212027 | + | 0.199255i | ||||
\(643\) | −15.6168 | − | 27.0492i | −0.615868 | − | 1.06672i | −0.990232 | − | 0.139433i | \(-0.955472\pi\) |
0.374363 | − | 0.927282i | \(-0.377861\pi\) | |||||||
\(644\) | −0.813859 | + | 2.34941i | −0.0320706 | + | 0.0925797i | ||||
\(645\) | 12.7446 | − | 11.9769i | 0.501817 | − | 0.471589i | ||||
\(646\) | −2.31386 | − | 4.00772i | −0.0910376 | − | 0.157682i | ||||
\(647\) | −5.56930 | + | 9.64630i | −0.218952 | + | 0.379235i | −0.954488 | − | 0.298250i | \(-0.903597\pi\) |
0.735536 | + | 0.677486i | \(0.236930\pi\) | |||||||
\(648\) | 5.43070 | − | 7.17687i | 0.213338 | − | 0.281934i | ||||
\(649\) | 12.9715i | 0.509178i | ||||||||
\(650\) | −1.37228 | + | 4.75372i | −0.0538253 | + | 0.186456i | ||||
\(651\) | 21.6277 | + | 2.22938i | 0.847657 | + | 0.0873765i | ||||
\(652\) | 9.00000 | + | 5.19615i | 0.352467 | + | 0.203497i | ||||
\(653\) | −22.5475 | − | 13.0178i | −0.882354 | − | 0.509427i | −0.0109200 | − | 0.999940i | \(-0.503476\pi\) |
−0.871434 | + | 0.490513i | \(0.836809\pi\) | |||||||
\(654\) | 33.0000 | + | 9.94987i | 1.29040 | + | 0.389071i | ||||
\(655\) | 46.9678i | 1.83518i | ||||||||
\(656\) | 5.31386 | − | 3.06796i | 0.207471 | − | 0.119784i | ||||
\(657\) | −2.00000 | + | 0.994667i | −0.0780274 | + | 0.0388056i | ||||
\(658\) | 7.37228 | + | 8.51278i | 0.287401 | + | 0.331863i | ||||
\(659\) | 11.6644 | − | 6.73444i | 0.454380 | − | 0.262337i | −0.255298 | − | 0.966862i | \(-0.582174\pi\) |
0.709678 | + | 0.704526i | \(0.248840\pi\) | |||||||
\(660\) | 1.37228 | + | 5.84096i | 0.0534160 | + | 0.227359i | ||||
\(661\) | 24.9307 | − | 43.1812i | 0.969692 | − | 1.67956i | 0.273249 | − | 0.961943i | \(-0.411902\pi\) |
0.696443 | − | 0.717613i | \(-0.254765\pi\) | |||||||
\(662\) | − | 22.0742i | − | 0.857939i | ||||||
\(663\) | 7.19702 | + | 4.65253i | 0.279509 | + | 0.180689i | ||||
\(664\) | 5.04868i | 0.195927i | ||||||||
\(665\) | −22.1168 | + | 4.25639i | −0.857654 | + | 0.165056i | ||||
\(666\) | −13.6277 | + | 20.5446i | −0.528063 | + | 0.796085i | ||||
\(667\) | −0.372281 | − | 0.644810i | −0.0144148 | − | 0.0249671i | ||||
\(668\) | − | 6.63325i | − | 0.256648i | ||||||
\(669\) | 3.11684 | − | 10.3374i | 0.120504 | − | 0.399667i | ||||
\(670\) | −10.3723 | − | 17.9653i | −0.400716 | − | 0.694061i | ||||
\(671\) | 7.13058i | 0.275273i | ||||||||
\(672\) | −1.87228 | − | 4.18265i | −0.0722248 | − | 0.161349i | ||||
\(673\) | 1.31386 | − | 2.27567i | 0.0506456 | − | 0.0877207i | −0.839591 | − | 0.543219i | \(-0.817205\pi\) |
0.890237 | + | 0.455498i | \(0.150539\pi\) | |||||||
\(674\) | −14.8030 | + | 25.6395i | −0.570190 | + | 0.987597i | ||||
\(675\) | −5.48913 | + | 4.55134i | −0.211277 | + | 0.175181i | ||||
\(676\) | −11.0000 | − | 6.92820i | −0.423077 | − | 0.266469i | ||||
\(677\) | 4.37228 | 0.168040 | 0.0840202 | − | 0.996464i | \(-0.473224\pi\) | ||||
0.0840202 | + | 0.996464i | \(0.473224\pi\) | |||||||
\(678\) | −6.74456 | − | 28.7075i | −0.259023 | − | 1.10250i | ||||
\(679\) | −5.37228 | − | 27.9152i | −0.206169 | − | 1.07129i | ||||
\(680\) | −3.00000 | + | 1.73205i | −0.115045 | + | 0.0664211i | ||||
\(681\) | −4.81386 | + | 4.52389i | −0.184467 | + | 0.173356i | ||||
\(682\) | 3.25544 | + | 5.63858i | 0.124657 | + | 0.215912i | ||||
\(683\) | −21.8614 | − | 37.8651i | −0.836503 | − | 1.44887i | −0.892800 | − | 0.450452i | \(-0.851263\pi\) |
0.0562969 | − | 0.998414i | \(-0.482071\pi\) | |||||||
\(684\) | −0.627719 | + | 10.0974i | −0.0240014 | + | 0.386082i | ||||
\(685\) | −3.55842 | + | 2.05446i | −0.135960 | + | 0.0784967i | ||||
\(686\) | −18.5000 | + | 0.866025i | −0.706333 | + | 0.0330650i | ||||
\(687\) | 20.4307 | − | 4.80001i | 0.779480 | − | 0.183132i | ||||
\(688\) | −4.00000 | −0.152499 | ||||||||
\(689\) | −12.4307 | − | 50.2381i | −0.473572 | − | 1.91392i | ||||
\(690\) | −2.81386 | − | 2.99422i | −0.107122 | − | 0.113988i | ||||
\(691\) | −19.5584 | + | 33.8762i | −0.744037 | + | 1.28871i | 0.206606 | + | 0.978424i | \(0.433758\pi\) |
−0.950643 | + | 0.310286i | \(0.899575\pi\) | |||||||
\(692\) | 9.55842 | − | 16.5557i | 0.363357 | − | 0.629352i | ||||
\(693\) | 4.19702 | − | 10.0511i | 0.159431 | − | 0.381808i | ||||
\(694\) | 15.6434i | 0.593814i | ||||||||
\(695\) | 26.4891 | + | 45.8805i | 1.00479 | + | 1.74035i | ||||
\(696\) | 1.31386 | + | 0.396143i | 0.0498017 | + | 0.0150158i | ||||
\(697\) | 8.42020i | 0.318938i | ||||||||
\(698\) | 1.44158 | + | 2.49689i | 0.0545645 | + | 0.0945085i | ||||
\(699\) | −11.1168 | − | 47.3176i | −0.420478 | − | 1.78972i | ||||
\(700\) | 0.686141 | + | 3.56529i | 0.0259337 | + | 0.134755i | ||||
\(701\) | 22.1668i | 0.837229i | 0.908164 | + | 0.418614i | \(0.137484\pi\) | ||||
−0.908164 | + | 0.418614i | \(0.862516\pi\) | |||||||
\(702\) | −7.48913 | − | 17.1730i | −0.282659 | − | 0.648154i | ||||
\(703\) | − | 27.7128i | − | 1.04521i | ||||||
\(704\) | 0.686141 | − | 1.18843i | 0.0258599 | − | 0.0447907i | ||||
\(705\) | −18.1168 | + | 4.25639i | −0.682320 | + | 0.160305i | ||||
\(706\) | −19.6277 | + | 11.3321i | −0.738699 | + | 0.426488i | ||||
\(707\) | −6.51087 | + | 5.63858i | −0.244867 | + | 0.212061i | ||||
\(708\) | 15.6753 | + | 4.72627i | 0.589113 | + | 0.177624i | ||||
\(709\) | −40.1168 | + | 23.1615i | −1.50662 | + | 0.869847i | −0.506649 | + | 0.862152i | \(0.669116\pi\) |
−0.999970 | + | 0.00769505i | \(0.997551\pi\) | |||||||
\(710\) | − | 2.81929i | − | 0.105806i | ||||||
\(711\) | 41.2921 | − | 20.5359i | 1.54858 | − | 0.770158i | ||||
\(712\) | 10.8030 | + | 6.23711i | 0.404859 | + | 0.233745i | ||||
\(713\) | −3.86141 | − | 2.22938i | −0.144611 | − | 0.0834911i | ||||
\(714\) | 6.25544 | + | 0.644810i | 0.234104 | + | 0.0241314i | ||||
\(715\) | 12.0000 | + | 3.46410i | 0.448775 | + | 0.129550i | ||||
\(716\) | 1.58457i | 0.0592183i | ||||||||
\(717\) | −41.4891 | + | 9.74749i | −1.54944 | + | 0.364027i | ||||
\(718\) | 11.1861 | − | 19.3750i | 0.417463 | − | 0.723067i | ||||
\(719\) | −3.94158 | − | 6.82701i | −0.146996 | − | 0.254605i | 0.783120 | − | 0.621871i | \(-0.213627\pi\) |
−0.930116 | + | 0.367266i | \(0.880294\pi\) | |||||||
\(720\) | 7.55842 | + | 0.469882i | 0.281686 | + | 0.0175115i | ||||
\(721\) | −10.1168 | + | 29.2048i | −0.376771 | + | 1.08764i | ||||
\(722\) | 3.81386 | + | 6.60580i | 0.141937 | + | 0.245842i | ||||
\(723\) | 1.48913 | + | 1.58457i | 0.0553812 | + | 0.0589309i | ||||
\(724\) | −10.5000 | + | 6.06218i | −0.390229 | + | 0.225299i | ||||
\(725\) | −0.941578 | − | 0.543620i | −0.0349693 | − | 0.0201896i | ||||
\(726\) | −15.3723 | + | 3.61158i | −0.570519 | + | 0.134038i | ||||
\(727\) | − | 31.5817i | − | 1.17130i | −0.810564 | − | 0.585650i | \(-0.800839\pi\) | ||
0.810564 | − | 0.585650i | \(-0.199161\pi\) | |||||||
\(728\) | −9.50000 | − | 0.866025i | −0.352093 | − | 0.0320970i | ||||
\(729\) | 5.00000 | − | 26.5330i | 0.185185 | − | 0.982704i | ||||
\(730\) | −1.62772 | − | 0.939764i | −0.0602446 | − | 0.0347822i | ||||
\(731\) | 2.74456 | − | 4.75372i | 0.101511 | − | 0.175823i | ||||
\(732\) | 8.61684 | + | 2.59808i | 0.318488 | + | 0.0960277i | ||||
\(733\) | 32.2554 | 1.19138 | 0.595691 | − | 0.803214i | \(-0.296878\pi\) | ||||
0.595691 | + | 0.803214i | \(0.296878\pi\) | |||||||
\(734\) | −8.23369 | + | 4.75372i | −0.303911 | + | 0.175463i | ||||
\(735\) | 12.9307 | − | 27.7403i | 0.476956 | − | 1.02322i | ||||
\(736\) | 0.939764i | 0.0346402i | ||||||||
\(737\) | −9.76631 | + | 5.63858i | −0.359747 | + | 0.207700i | ||||
\(738\) | 10.1753 | − | 15.3398i | 0.374557 | − | 0.564665i | ||||
\(739\) | −16.8832 | − | 9.74749i | −0.621057 | − | 0.358567i | 0.156223 | − | 0.987722i | \(-0.450068\pi\) |
−0.777280 | + | 0.629154i | \(0.783401\pi\) | |||||||
\(740\) | −20.7446 | −0.762585 | ||||||||
\(741\) | 17.6861 | + | 11.4333i | 0.649717 | + | 0.420011i | ||||
\(742\) | −24.8614 | − | 28.7075i | −0.912691 | − | 1.05388i | ||||
\(743\) | −7.37228 | + | 12.7692i | −0.270463 | + | 0.468455i | −0.968980 | − | 0.247138i | \(-0.920510\pi\) |
0.698518 | + | 0.715593i | \(0.253843\pi\) | |||||||
\(744\) | 8.00000 | − | 1.87953i | 0.293294 | − | 0.0689068i | ||||
\(745\) | 13.1168 | − | 7.57301i | 0.480564 | − | 0.277454i | ||||
\(746\) | 8.00000 | 0.292901 | ||||||||
\(747\) | 6.74456 | + | 13.5615i | 0.246771 | + | 0.496188i | ||||
\(748\) | 0.941578 | + | 1.63086i | 0.0344275 | + | 0.0596302i | ||||
\(749\) | 7.37228 | + | 8.51278i | 0.269377 | + | 0.311050i | ||||
\(750\) | 15.1861 | + | 4.57879i | 0.554519 | + | 0.167194i | ||||
\(751\) | 0.500000 | − | 0.866025i | 0.0182453 | − | 0.0316017i | −0.856759 | − | 0.515718i | \(-0.827525\pi\) |
0.875004 | + | 0.484116i | \(0.160859\pi\) | |||||||
\(752\) | 3.68614 | + | 2.12819i | 0.134420 | + | 0.0776073i | ||||
\(753\) | −1.32473 | − | 1.40965i | −0.0482760 | − | 0.0513703i | ||||
\(754\) | 2.05842 | − | 1.98072i | 0.0749633 | − | 0.0721335i | ||||
\(755\) | −7.62772 | −0.277601 | ||||||||
\(756\) | −10.6168 | − | 8.73399i | −0.386131 | − | 0.317652i | ||||
\(757\) | −19.8614 | + | 34.4010i | −0.721875 | + | 1.25032i | 0.238372 | + | 0.971174i | \(0.423386\pi\) |
−0.960247 | + | 0.279150i | \(0.909947\pi\) | |||||||
\(758\) | 22.1168 | − | 12.7692i | 0.803320 | − | 0.463797i | ||||
\(759\) | −1.62772 | + | 1.52967i | −0.0590824 | + | 0.0555235i | ||||
\(760\) | −7.37228 | + | 4.25639i | −0.267421 | + | 0.154395i | ||||
\(761\) | −14.7446 | + | 8.51278i | −0.534490 | + | 0.308588i | −0.742843 | − | 0.669466i | \(-0.766523\pi\) |
0.208353 | + | 0.978054i | \(0.433190\pi\) | |||||||
\(762\) | −17.9307 | − | 19.0800i | −0.649561 | − | 0.691196i | ||||
\(763\) | 17.2337 | − | 49.7494i | 0.623901 | − | 1.80105i | ||||
\(764\) | −16.3723 | − | 9.45254i | −0.592328 | − | 0.341981i | ||||
\(765\) | −5.74456 | + | 8.66025i | −0.207695 | + | 0.313112i | ||||
\(766\) | 31.6742i | 1.14444i | ||||||||
\(767\) | 24.5584 | − | 23.6314i | 0.886753 | − | 0.853279i | ||||
\(768\) | −1.18614 | − | 1.26217i | −0.0428012 | − | 0.0455446i | ||||
\(769\) | −5.11684 | + | 8.86263i | −0.184518 | + | 0.319595i | −0.943414 | − | 0.331617i | \(-0.892406\pi\) |
0.758896 | + | 0.651212i | \(0.225739\pi\) | |||||||
\(770\) | 9.00000 | − | 1.73205i | 0.324337 | − | 0.0624188i | ||||
\(771\) | 11.0584 | − | 36.6766i | 0.398259 | − | 1.32088i | ||||
\(772\) | 6.48577i | 0.233428i | ||||||||
\(773\) | −45.0951 | + | 26.0357i | −1.62196 | + | 0.936438i | −0.635562 | + | 0.772050i | \(0.719232\pi\) |
−0.986396 | + | 0.164388i | \(0.947435\pi\) | |||||||
\(774\) | −10.7446 | + | 5.34363i | −0.386205 | + | 0.192073i | ||||
\(775\) | −6.51087 | −0.233878 | ||||||||
\(776\) | −5.37228 | − | 9.30506i | −0.192854 | − | 0.334032i | ||||
\(777\) | 30.5109 | + | 22.0742i | 1.09457 | + | 0.791909i | ||||
\(778\) | 19.6277 | + | 11.3321i | 0.703688 | + | 0.406274i | ||||
\(779\) | 20.6920i | 0.741369i | ||||||||
\(780\) | 8.55842 | − | 13.2390i | 0.306441 | − | 0.474034i | ||||
\(781\) | −1.53262 | −0.0548416 | ||||||||
\(782\) | −1.11684 | − | 0.644810i | −0.0399383 | − | 0.0230584i | ||||
\(783\) | 4.05842 | − | 0.691097i | 0.145036 | − | 0.0246978i | ||||
\(784\) | −6.50000 | + | 2.59808i | −0.232143 | + | 0.0927884i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 9.30298 | − | 30.8545i | 0.331826 | − | 1.10054i | ||||
\(787\) | 7.36141 | + | 12.7503i | 0.262406 | + | 0.454500i | 0.966881 | − | 0.255229i | \(-0.0821508\pi\) |
−0.704475 | + | 0.709729i | \(0.748817\pi\) | |||||||
\(788\) | 15.6060 | 0.555940 | ||||||||
\(789\) | −23.0693 | − | 6.95565i | −0.821289 | − | 0.247628i | ||||
\(790\) | 33.6060 | + | 19.4024i | 1.19565 | + | 0.690307i | ||||
\(791\) | −44.2337 | + | 8.51278i | −1.57277 | + | 0.302680i | ||||
\(792\) | 0.255437 | − | 4.10891i | 0.00907657 | − | 0.146004i | ||||
\(793\) | 13.5000 | − | 12.9904i | 0.479399 | − | 0.461302i | ||||
\(794\) | 13.7446 | 0.487776 | ||||||||
\(795\) | 61.0951 | − | 14.3537i | 2.16682 | − | 0.509075i | ||||
\(796\) | −3.00000 | − | 1.73205i | −0.106332 | − | 0.0613909i | ||||
\(797\) | −25.9307 | − | 44.9133i | −0.918513 | − | 1.59091i | −0.801676 | − | 0.597759i | \(-0.796058\pi\) |
−0.116837 | − | 0.993151i | \(-0.537276\pi\) | |||||||
\(798\) | 15.3723 | + | 1.58457i | 0.544173 | + | 0.0560933i | ||||
\(799\) | −5.05842 | + | 2.92048i | −0.178954 | + | 0.103319i | ||||
\(800\) | 0.686141 | + | 1.18843i | 0.0242587 | + | 0.0420174i | ||||
\(801\) | 37.3505 | + | 2.32196i | 1.31972 | + | 0.0820424i | ||||
\(802\) | 5.74456 | + | 9.94987i | 0.202848 | + | 0.351342i | ||||
\(803\) | −0.510875 | + | 0.884861i | −0.0180284 | + | 0.0312261i | ||||
\(804\) | 3.25544 | + | 13.8564i | 0.114810 | + | 0.488678i | ||||
\(805\) | −4.74456 | + | 4.10891i | −0.167224 | + | 0.144820i | ||||
\(806\) | 4.74456 | − | 16.4356i | 0.167120 | − | 0.578921i | ||||
\(807\) | 33.0475 | + | 35.1658i | 1.16333 | + | 1.23789i | ||||
\(808\) | −1.62772 | + | 2.81929i | −0.0572629 | + | 0.0991823i | ||||
\(809\) | 32.7446 | + | 18.9051i | 1.15124 | + | 0.664667i | 0.949188 | − | 0.314708i | \(-0.101907\pi\) |
0.202049 | + | 0.979375i | \(0.435240\pi\) | |||||||
\(810\) | 20.9307 | − | 8.83518i | 0.735430 | − | 0.310437i | ||||
\(811\) | 3.11684 | 0.109447 | 0.0547236 | − | 0.998502i | \(-0.482572\pi\) | ||||
0.0547236 | + | 0.998502i | \(0.482572\pi\) | |||||||
\(812\) | 0.686141 | − | 1.98072i | 0.0240788 | − | 0.0695096i | ||||
\(813\) | 2.00000 | − | 6.63325i | 0.0701431 | − | 0.232638i | ||||
\(814\) | 11.2772i | 0.395264i | ||||||||
\(815\) | 13.1168 | + | 22.7190i | 0.459463 | + | 0.795813i | ||||
\(816\) | 2.31386 | − | 0.543620i | 0.0810013 | − | 0.0190305i | ||||
\(817\) | 6.74456 | − | 11.6819i | 0.235962 | − | 0.408699i | ||||
\(818\) | 1.48913 | 0.0520660 | ||||||||
\(819\) | −26.6753 | + | 10.3649i | −0.932109 | + | 0.362177i | ||||
\(820\) | 15.4891 | 0.540904 | ||||||||
\(821\) | −26.9198 | + | 46.6265i | −0.939508 | + | 1.62728i | −0.173118 | + | 0.984901i | \(0.555384\pi\) |
−0.766390 | + | 0.642375i | \(0.777949\pi\) | |||||||
\(822\) | 2.74456 | − | 0.644810i | 0.0957276 | − | 0.0224903i | ||||
\(823\) | 25.7921 | + | 44.6732i | 0.899056 | + | 1.55721i | 0.828703 | + | 0.559689i | \(0.189080\pi\) |
0.0703539 | + | 0.997522i | \(0.477587\pi\) | |||||||
\(824\) | 11.6819i | 0.406959i | ||||||||
\(825\) | −0.941578 | + | 3.12286i | −0.0327815 | + | 0.108724i | ||||
\(826\) | 8.18614 | − | 23.6314i | 0.284832 | − | 0.822240i | ||||
\(827\) | 26.2337 | 0.912235 | 0.456117 | − | 0.889920i | \(-0.349240\pi\) | ||||
0.456117 | + | 0.889920i | \(0.349240\pi\) | |||||||
\(828\) | 1.25544 | + | 2.52434i | 0.0436295 | + | 0.0877268i | ||||
\(829\) | −13.5000 | − | 7.79423i | −0.468874 | − | 0.270705i | 0.246894 | − | 0.969042i | \(-0.420590\pi\) |
−0.715768 | + | 0.698338i | \(0.753923\pi\) | |||||||
\(830\) | −6.37228 | + | 11.0371i | −0.221185 | + | 0.383104i | ||||
\(831\) | 11.2554 | + | 11.9769i | 0.390447 | + | 0.415473i | ||||
\(832\) | −3.50000 | + | 0.866025i | −0.121341 | + | 0.0300240i | ||||
\(833\) | 1.37228 | − | 9.50744i | 0.0475467 | − | 0.329413i | ||||
\(834\) | −8.31386 | − | 35.3870i | −0.287885 | − | 1.22535i | ||||
\(835\) | 8.37228 | − | 14.5012i | 0.289735 | − | 0.501835i | ||||
\(836\) | 2.31386 | + | 4.00772i | 0.0800265 | + | 0.138610i | ||||
\(837\) | 18.9783 | − | 15.7359i | 0.655984 | − | 0.543913i | ||||
\(838\) | 8.74456 | + | 15.1460i | 0.302076 | + | 0.523211i | ||||
\(839\) | −2.39403 | + | 1.38219i | −0.0826511 | + | 0.0477186i | −0.540756 | − | 0.841180i | \(-0.681862\pi\) |
0.458105 | + | 0.888898i | \(0.348528\pi\) | |||||||
\(840\) | 1.18614 | − | 11.5070i | 0.0409257 | − | 0.397029i | ||||
\(841\) | −14.1861 | − | 24.5711i | −0.489177 | − | 0.847280i | ||||
\(842\) | 11.2337 | + | 6.48577i | 0.387138 | + | 0.223514i | ||||
\(843\) | 5.48913 | − | 1.28962i | 0.189056 | − | 0.0444169i | ||||
\(844\) | 22.7446 | 0.782900 | ||||||||
\(845\) | −15.3030 | − | 29.0299i | −0.526439 | − | 0.998658i | ||||
\(846\) | 12.7446 | + | 0.792287i | 0.438167 | + | 0.0272394i | ||||
\(847\) | 4.55842 | + | 23.6863i | 0.156629 | + | 0.813869i | ||||
\(848\) | −12.4307 | − | 7.17687i | −0.426872 | − | 0.246455i | ||||
\(849\) | −12.5584 | − | 3.78651i | −0.431004 | − | 0.129953i | ||||
\(850\) | −1.88316 | −0.0645917 | ||||||||
\(851\) | −3.86141 | − | 6.68815i | −0.132367 | − | 0.229267i | ||||
\(852\) | −0.558422 | + | 1.85208i | −0.0191312 | + | 0.0634511i | ||||
\(853\) | 42.7228 | 1.46280 | 0.731401 | − | 0.681948i | \(-0.238867\pi\) | ||||
0.731401 | + | 0.681948i | \(0.238867\pi\) | |||||||
\(854\) | 4.50000 | − | 12.9904i | 0.153987 | − | 0.444522i | ||||
\(855\) | −14.1168 | + | 21.2819i | −0.482786 | + | 0.727827i | ||||
\(856\) | 3.68614 | + | 2.12819i | 0.125990 | + | 0.0727402i | ||||
\(857\) | −37.7228 | −1.28859 | −0.644293 | − | 0.764778i | \(-0.722848\pi\) | ||||
−0.644293 | + | 0.764778i | \(0.722848\pi\) | |||||||
\(858\) | −7.19702 | − | 4.65253i | −0.245702 | − | 0.158835i | ||||
\(859\) | − | 16.2333i | − | 0.553872i | −0.960888 | − | 0.276936i | \(-0.910681\pi\) | ||
0.960888 | − | 0.276936i | \(-0.0893190\pi\) | |||||||
\(860\) | −8.74456 | − | 5.04868i | −0.298187 | − | 0.172158i | ||||
\(861\) | −22.7812 | − | 16.4819i | −0.776382 | − | 0.561703i | ||||
\(862\) | −9.81386 | − | 16.9981i | −0.334261 | − | 0.578958i | ||||
\(863\) | 37.6277 | 1.28086 | 0.640431 | − | 0.768016i | \(-0.278756\pi\) | ||||
0.640431 | + | 0.768016i | \(0.278756\pi\) | |||||||
\(864\) | −4.87228 | − | 1.80579i | −0.165758 | − | 0.0614342i | ||||
\(865\) | 41.7921 | − | 24.1287i | 1.42097 | − | 0.820400i | ||||
\(866\) | − | 35.0458i | − | 1.19090i | ||||||
\(867\) | 7.55842 | − | 25.0684i | 0.256697 | − | 0.851369i | ||||
\(868\) | −2.37228 | − | 12.3267i | −0.0805205 | − | 0.418397i | ||||
\(869\) | 10.5475 | − | 18.2689i | 0.357801 | − | 0.619730i | ||||
\(870\) | 2.37228 | + | 2.52434i | 0.0804279 | + | 0.0855831i | ||||
\(871\) | 28.4674 | + | 8.21782i | 0.964580 | + | 0.278450i | ||||
\(872\) | − | 19.8997i | − | 0.673891i | ||||||
\(873\) | −26.8614 | − | 17.8178i | −0.909121 | − | 0.603043i | ||||
\(874\) | −2.74456 | − | 1.58457i | −0.0928362 | − | 0.0535990i | ||||
\(875\) | 7.93070 | − | 22.8940i | 0.268107 | − | 0.773957i | ||||
\(876\) | 0.883156 | + | 0.939764i | 0.0298391 | + | 0.0317517i | ||||
\(877\) | 15.0000 | − | 8.66025i | 0.506514 | − | 0.292436i | −0.224886 | − | 0.974385i | \(-0.572201\pi\) |
0.731400 | + | 0.681949i | \(0.238867\pi\) | |||||||
\(878\) | 30.3505 | − | 17.5229i | 1.02428 | − | 0.591369i | ||||
\(879\) | −21.4891 | + | 20.1947i | −0.724810 | + | 0.681150i | ||||
\(880\) | 3.00000 | − | 1.73205i | 0.101130 | − | 0.0583874i | ||||
\(881\) | −12.2554 | + | 21.2270i | −0.412896 | + | 0.715157i | −0.995205 | − | 0.0978105i | \(-0.968816\pi\) |
0.582309 | + | 0.812968i | \(0.302149\pi\) | |||||||
\(882\) | −13.9891 | + | 15.6622i | −0.471038 | + | 0.527374i | ||||
\(883\) | −10.0000 | −0.336527 | −0.168263 | − | 0.985742i | \(-0.553816\pi\) | ||||
−0.168263 | + | 0.985742i | \(0.553816\pi\) | |||||||
\(884\) | 1.37228 | − | 4.75372i | 0.0461548 | − | 0.159885i | ||||
\(885\) | 28.3030 | + | 30.1171i | 0.951394 | + | 1.01238i | ||||
\(886\) | 9.68614 | + | 5.59230i | 0.325412 | + | 0.187877i | ||||
\(887\) | 3.94158 | − | 6.82701i | 0.132345 | − | 0.229229i | −0.792235 | − | 0.610216i | \(-0.791083\pi\) |
0.924580 | + | 0.380988i | \(0.124416\pi\) | |||||||
\(888\) | 13.6277 | + | 4.10891i | 0.457316 | + | 0.137886i | ||||
\(889\) | −30.2337 | + | 26.1831i | −1.01401 | + | 0.878154i | ||||
\(890\) | 15.7446 | + | 27.2704i | 0.527759 | + | 0.914105i | ||||
\(891\) | −4.80298 | − | 11.3784i | −0.160906 | − | 0.381189i | ||||
\(892\) | −6.23369 | −0.208719 | ||||||||
\(893\) | −12.4307 | + | 7.17687i | −0.415978 | + | 0.240165i | ||||
\(894\) | −10.1168 | + | 2.37686i | −0.338358 | + | 0.0794941i | ||||
\(895\) | −2.00000 | + | 3.46410i | −0.0668526 | + | 0.115792i | ||||
\(896\) | −2.00000 | + | 1.73205i | −0.0668153 | + | 0.0578638i | ||||
\(897\) | 5.86141 | + | 0.294954i | 0.195707 | + | 0.00984822i | ||||
\(898\) | −0.605969 | −0.0202215 | ||||||||
\(899\) | 3.25544 | + | 1.87953i | 0.108575 | + | 0.0626858i | ||||
\(900\) | 3.43070 | + | 2.27567i | 0.114357 | + | 0.0758557i | ||||
\(901\) | 17.0584 | − | 9.84868i | 0.568298 | − | 0.328107i | ||||
\(902\) | − | 8.42020i | − | 0.280362i | ||||||
\(903\) | 7.48913 | + | 16.7306i | 0.249222 | + | 0.556760i | ||||
\(904\) | −14.7446 | + | 8.51278i | −0.490397 | + | 0.283131i | ||||
\(905\) | −30.6060 | −1.01738 | ||||||||
\(906\) | 5.01087 | + | 1.51084i | 0.166475 | + | 0.0501941i | ||||
\(907\) | −12.4891 | + | 21.6318i | −0.414695 | + | 0.718272i | −0.995396 | − | 0.0958443i | \(-0.969445\pi\) |
0.580702 | + | 0.814116i | \(0.302778\pi\) | |||||||
\(908\) | 3.30298 | + | 1.90698i | 0.109613 | + | 0.0632853i | ||||
\(909\) | −0.605969 | + | 9.74749i | −0.0200987 | + | 0.323304i | ||||
\(910\) | −19.6753 | − | 13.8839i | −0.652229 | − | 0.460245i | ||||
\(911\) | 7.86797i | 0.260677i | 0.991470 | + | 0.130339i | \(0.0416065\pi\) | ||||
−0.991470 | + | 0.130339i | \(0.958394\pi\) | |||||||
\(912\) | 5.68614 | − | 1.33591i | 0.188287 | − | 0.0442363i | ||||
\(913\) | 6.00000 | + | 3.46410i | 0.198571 | + | 0.114645i | ||||
\(914\) | 16.6753 | − | 9.62747i | 0.551569 | − | 0.318448i | ||||
\(915\) | 15.5584 | + | 16.5557i | 0.514346 | + | 0.547314i | ||||
\(916\) | −6.05842 | − | 10.4935i | −0.200176 | − | 0.346715i | ||||
\(917\) | −46.5149 | − | 16.1132i | −1.53606 | − | 0.532106i | ||||
\(918\) | 5.48913 | − | 4.55134i | 0.181168 | − | 0.150217i | ||||
\(919\) | −16.7337 | − | 28.9836i | −0.551993 | − | 0.956081i | −0.998131 | − | 0.0611161i | \(-0.980534\pi\) |
0.446137 | − | 0.894965i | \(-0.352799\pi\) | |||||||
\(920\) | −1.18614 | + | 2.05446i | −0.0391059 | + | 0.0677334i | ||||
\(921\) | 22.3139 | − | 5.24244i | 0.735267 | − | 0.172744i | ||||
\(922\) | − | 15.0911i | − | 0.497000i | ||||||
\(923\) | 2.79211 | + | 2.90165i | 0.0919034 | + | 0.0955088i | ||||
\(924\) | −6.25544 | − | 0.644810i | −0.205789 | − | 0.0212127i | ||||
\(925\) | −9.76631 | − | 5.63858i | −0.321114 | − | 0.185395i | ||||
\(926\) | 26.6168 | + | 15.3672i | 0.874684 | + | 0.504999i | ||||
\(927\) | 15.6060 | + | 31.3793i | 0.512567 | + | 1.03063i | ||||
\(928\) | − | 0.792287i | − | 0.0260081i | ||||||
\(929\) | −2.91983 | + | 1.68576i | −0.0957965 | + | 0.0553081i | −0.547133 | − | 0.837046i | \(-0.684281\pi\) |
0.451336 | + | 0.892354i | \(0.350947\pi\) | |||||||
\(930\) | 19.8614 | + | 5.98844i | 0.651281 | + | 0.196369i | ||||
\(931\) | 3.37228 | − | 23.3639i | 0.110522 | − | 0.765719i | ||||
\(932\) | −24.3030 | + | 14.0313i | −0.796071 | + | 0.459612i | ||||
\(933\) | −7.80298 | + | 1.83324i | −0.255458 | + | 0.0600176i | ||||
\(934\) | −9.81386 | + | 16.9981i | −0.321119 | + | 0.556195i | ||||
\(935\) | 4.75372i | 0.155463i | ||||||||
\(936\) | −8.24456 | + | 7.00194i | −0.269482 | + | 0.228866i | ||||
\(937\) | 16.0309i | 0.523706i | 0.965108 | + | 0.261853i | \(0.0843336\pi\) | ||||
−0.965108 | + | 0.261853i | \(0.915666\pi\) | |||||||
\(938\) | 21.3505 | − | 4.10891i | 0.697120 | − | 0.134161i | ||||
\(939\) | 5.48913 | + | 23.3639i | 0.179131 | + | 0.762450i | ||||
\(940\) | 5.37228 | + | 9.30506i | 0.175224 | + | 0.303498i | ||||
\(941\) | − | 16.3807i | − | 0.533997i | −0.963697 | − | 0.266999i | \(-0.913968\pi\) | ||
0.963697 | − | 0.266999i | \(-0.0860319\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.88316 | + | 4.99377i | 0.0938885 | + | 0.162620i | ||||
\(944\) | − | 9.45254i | − | 0.307654i | ||||||
\(945\) | −12.1861 | − | 32.4940i | −0.396415 | − | 1.05703i | ||||
\(946\) | −2.74456 | + | 4.75372i | −0.0892334 | + | 0.154557i | ||||
\(947\) | 2.56930 | − | 4.45015i | 0.0834909 | − | 0.144611i | −0.821256 | − | 0.570560i | \(-0.806726\pi\) |
0.904747 | + | 0.425949i | \(0.140060\pi\) | |||||||
\(948\) | −18.2337 | − | 19.4024i | −0.592203 | − | 0.630161i | ||||
\(949\) | 2.60597 | − | 0.644810i | 0.0845933 | − | 0.0209314i | ||||
\(950\) | −4.62772 | −0.150143 | ||||||||
\(951\) | 45.0951 | − | 10.5947i | 1.46231 | − | 0.343556i | ||||
\(952\) | −0.686141 | − | 3.56529i | −0.0222379 | − | 0.115552i | ||||
\(953\) | −4.41983 | + | 2.55179i | −0.143172 | + | 0.0826606i | −0.569875 | − | 0.821731i | \(-0.693008\pi\) |
0.426703 | + | 0.904392i | \(0.359675\pi\) | |||||||
\(954\) | −42.9783 | − | 2.67181i | −1.39147 | − | 0.0865032i | ||||
\(955\) | −23.8614 | − | 41.3292i | −0.772137 | − | 1.33738i | ||||
\(956\) | 12.3030 | + | 21.3094i | 0.397907 | + | 0.689195i | ||||
\(957\) | 1.37228 | − | 1.28962i | 0.0443596 | − | 0.0416875i | ||||
\(958\) | −22.8030 | + | 13.1653i | −0.736731 | + | 0.425352i | ||||
\(959\) | −0.813859 | − | 4.22894i | −0.0262809 | − | 0.136560i | ||||
\(960\) | −1.00000 | − | 4.25639i | −0.0322749 | − | 0.137374i | ||||
\(961\) | −8.48913 | −0.273843 | ||||||||
\(962\) | 21.3505 | − | 20.5446i | 0.688369 | − | 0.662383i | ||||
\(963\) | 12.7446 | + | 0.792287i | 0.410688 | + | 0.0255311i | ||||
\(964\) | 0.627719 | − | 1.08724i | 0.0202175 | − | 0.0350177i | ||||
\(965\) | −8.18614 | + | 14.1788i | −0.263521 | + | 0.456432i | ||||
\(966\) | 3.93070 | − | 1.75950i | 0.126468 | − | 0.0566111i | ||||
\(967\) | − | 0.884861i | − | 0.0284552i | −0.999899 | − | 0.0142276i | \(-0.995471\pi\) | ||
0.999899 | − | 0.0142276i | \(-0.00452894\pi\) | |||||||
\(968\) | 4.55842 | + | 7.89542i | 0.146513 | + | 0.253768i | ||||
\(969\) | −2.31386 | + | 7.67420i | −0.0743319 | + | 0.246531i | ||||
\(970\) | − | 27.1229i | − | 0.870864i | ||||||
\(971\) | −15.5584 | − | 26.9480i | −0.499294 | − | 0.864802i | 0.500706 | − | 0.865617i | \(-0.333074\pi\) |
−1.00000 | 0.000815578i | \(0.999740\pi\) | ||||||||
\(972\) | −15.5000 | + | 1.65831i | −0.497163 | + | 0.0531904i | ||||
\(973\) | −54.5258 | + | 10.4935i | −1.74802 | + | 0.336406i | ||||
\(974\) | − | 10.8347i | − | 0.347167i | ||||||
\(975\) | 7.62772 | − | 3.90653i | 0.244283 | − | 0.125109i | ||||
\(976\) | − | 5.19615i | − | 0.166325i | ||||||
\(977\) | 4.93070 | − | 8.54023i | 0.157747 | − | 0.273226i | −0.776309 | − | 0.630353i | \(-0.782910\pi\) |
0.934056 | + | 0.357127i | \(0.116244\pi\) | |||||||
\(978\) | −4.11684 | − | 17.5229i | −0.131642 | − | 0.560320i | ||||
\(979\) | 14.8247 | − | 8.55906i | 0.473801 | − | 0.273549i | ||||
\(980\) | −17.4891 | − | 2.52434i | −0.558670 | − | 0.0806370i | ||||
\(981\) | −26.5842 | − | 53.4535i | −0.848769 | − | 1.70664i | ||||
\(982\) | 33.6060 | − | 19.4024i | 1.07241 | − | 0.619156i | ||||
\(983\) | 48.3123i | 1.54092i | 0.637487 | + | 0.770461i | \(0.279974\pi\) | ||||
−0.637487 | + | 0.770461i | \(0.720026\pi\) | |||||||
\(984\) | −10.1753 | − | 3.06796i | −0.324376 | − | 0.0978029i | ||||
\(985\) | 34.1168 | + | 19.6974i | 1.08705 | + | 0.627610i | ||||
\(986\) | 0.941578 | + | 0.543620i | 0.0299860 | + | 0.0173124i | ||||
\(987\) | 2.00000 | − | 19.4024i | 0.0636607 | − | 0.617586i | ||||
\(988\) | 3.37228 | − | 11.6819i | 0.107287 | − | 0.371652i | ||||
\(989\) | − | 3.75906i | − | 0.119531i | ||||||
\(990\) | 5.74456 | − | 8.66025i | 0.182574 | − | 0.275241i | ||||
\(991\) | −6.61684 | + | 11.4607i | −0.210191 | + | 0.364061i | −0.951774 | − | 0.306799i | \(-0.900742\pi\) |
0.741583 | + | 0.670861i | \(0.234075\pi\) | |||||||
\(992\) | −2.37228 | − | 4.10891i | −0.0753200 | − | 0.130458i | ||||
\(993\) | −27.8614 | + | 26.1831i | −0.884155 | + | 0.830897i | ||||
\(994\) | 2.79211 | + | 0.967215i | 0.0885603 | + | 0.0306782i | ||||
\(995\) | −4.37228 | − | 7.57301i | −0.138611 | − | 0.240081i | ||||
\(996\) | 6.37228 | − | 5.98844i | 0.201913 | − | 0.189751i | ||||
\(997\) | 5.26631 | − | 3.04051i | 0.166786 | − | 0.0962938i | −0.414284 | − | 0.910148i | \(-0.635968\pi\) |
0.581069 | + | 0.813854i | \(0.302634\pi\) | |||||||
\(998\) | 20.2337 | + | 11.6819i | 0.640486 | + | 0.369785i | ||||
\(999\) | 42.0951 | − | 7.16825i | 1.33183 | − | 0.226794i |
(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 | 546.2.q.f.251.2 | yes | 4 | |
3.2 | odd | 2 | 546.2.q.h.251.2 | yes | 4 | ||
7.6 | odd | 2 | 546.2.q.e.251.1 | ✓ | 4 | ||
13.10 | even | 6 | 546.2.q.g.335.2 | yes | 4 | ||
21.20 | even | 2 | 546.2.q.g.251.1 | yes | 4 | ||
39.23 | odd | 6 | 546.2.q.e.335.1 | yes | 4 | ||
91.62 | odd | 6 | 546.2.q.h.335.1 | yes | 4 | ||
273.62 | even | 6 | inner | 546.2.q.f.335.2 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.q.e.251.1 | ✓ | 4 | 7.6 | odd | 2 | ||
546.2.q.e.335.1 | yes | 4 | 39.23 | odd | 6 | ||
546.2.q.f.251.2 | yes | 4 | 1.1 | even | 1 | trivial | |
546.2.q.f.335.2 | yes | 4 | 273.62 | even | 6 | inner | |
546.2.q.g.251.1 | yes | 4 | 21.20 | even | 2 | ||
546.2.q.g.335.2 | yes | 4 | 13.10 | even | 6 | ||
546.2.q.h.251.2 | yes | 4 | 3.2 | odd | 2 | ||
546.2.q.h.335.1 | yes | 4 | 91.62 | odd | 6 |