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 | 251.1 | ||
Root | \(-1.18614 + 1.26217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 546.251 |
Dual form | 546.2.q.e.335.1 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 | \(0.190915\pi\) | ||||
−0.825461 | + | 0.564459i | \(0.809085\pi\) | |||||||
\(6\) | 0.500000 | − | 1.65831i | 0.204124 | − | 0.677003i | ||||
\(7\) | 0.500000 | − | 2.59808i | 0.188982 | − | 0.981981i | ||||
\(8\) | 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 | 0.937156 | − | 0.348910i | \(-0.113448\pi\) |
−0.770743 | + | 0.637146i | \(0.780115\pi\) | |||||||
\(18\) | −0.186141 | + | 2.99422i | −0.0438738 | + | 0.705744i | ||||
\(19\) | 1.68614 | + | 2.92048i | 0.386827 | + | 0.670004i | 0.992021 | − | 0.126074i | \(-0.0402377\pi\) |
−0.605194 | + | 0.796078i | \(0.706904\pi\) | |||||||
\(20\) | 2.18614 | − | 1.26217i | 0.488836 | − | 0.282230i | ||||
\(21\) | 0.186141 | + | 4.57879i | 0.0406192 | + | 0.999175i | ||||
\(22\) | 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 | ||||
\(28\) | −2.50000 | + | 0.866025i | −0.472456 | + | 0.163663i | ||||
\(29\) | 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 | \(-0.640104\pi\) | ||||
−0.426074 | + | 0.904688i | \(0.640104\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −0.686141 | + | 2.27567i | −0.119442 | + | 0.396143i | ||||
\(34\) | −1.37228 | −0.235344 | ||||||||
\(35\) | 6.55842 | + | 1.26217i | 1.10858 | + | 0.213345i | ||||
\(36\) | −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 | 0.853813 | − | 0.520579i | \(-0.174284\pi\) |
−0.0239280 | + | 0.999714i | \(0.507617\pi\) | |||||||
\(42\) | −4.05842 | − | 2.12819i | −0.626228 | − | 0.328388i | ||||
\(43\) | 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 | \(0.100473\pi\) | ||||
−0.950597 | + | 0.310429i | \(0.899527\pi\) | |||||||
\(48\) | 0.500000 | − | 1.65831i | 0.0721688 | − | 0.239357i | ||||
\(49\) | −6.50000 | − | 2.59808i | −0.928571 | − | 0.371154i | ||||
\(50\) | 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 | ||||
\(56\) | 0.500000 | − | 2.59808i | 0.0668153 | − | 0.347183i | ||||
\(57\) | −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 | 0.138729 | − | 0.990330i | \(-0.455698\pi\) |
0.927016 | + | 0.375022i | \(0.122365\pi\) | |||||||
\(60\) | −3.18614 | + | 2.99422i | −0.411329 | + | 0.386552i | ||||
\(61\) | 4.50000 | − | 2.59808i | 0.576166 | − | 0.332650i | −0.183442 | − | 0.983030i | \(-0.558724\pi\) |
0.759608 | + | 0.650381i | \(0.225391\pi\) | |||||||
\(62\) | 2.37228 | − | 4.10891i | 0.301280 | − | 0.521832i | ||||
\(63\) | −2.12772 | − | 7.64675i | −0.268067 | − | 0.963400i | ||||
\(64\) | 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 | \(-0.486126\pi\) | ||||
0.0435722 | + | 0.999050i | \(0.486126\pi\) | |||||||
\(74\) | −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 | \(-0.910633\pi\) | ||
0.960846 | − | 0.277082i | \(-0.0893674\pi\) | |||||||
\(84\) | 3.87228 | − | 2.45060i | 0.422501 | − | 0.267382i | ||||
\(85\) | −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 | −0.197422 | − | 0.980319i | \(-0.563257\pi\) |
−0.947692 | + | 0.319187i | \(0.896590\pi\) | |||||||
\(90\) | −7.55842 | − | 0.469882i | −0.796728 | − | 0.0495299i | ||||
\(91\) | −0.500000 | − | 9.52628i | −0.0524142 | − | 0.998625i | ||||
\(92\) | 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 | \(0.0169831\pi\) |
−0.453104 | + | 0.891457i | \(0.649684\pi\) | |||||||
\(98\) | 5.50000 | − | 4.33013i | 0.555584 | − | 0.437409i | ||||
\(99\) | 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 | −0.773609 | − | 0.633663i | \(-0.781550\pi\) |
0.935573 | + | 0.353133i | \(0.114884\pi\) | |||||||
\(102\) | 2.31386 | − | 0.543620i | 0.229106 | − | 0.0538264i | ||||
\(103\) | − | 11.6819i | − | 1.15105i | −0.817783 | − | 0.575527i | \(-0.804797\pi\) | ||
0.817783 | − | 0.575527i | \(-0.195203\pi\) | |||||||
\(104\) | 3.50000 | − | 0.866025i | 0.343203 | − | 0.0849208i | ||||
\(105\) | −11.5584 | + | 0.469882i | −1.12799 | + | 0.0458558i | ||||
\(106\) | −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 | ||||||||
\(119\) | 3.43070 | − | 1.18843i | 0.314492 | − | 0.108943i | ||||
\(120\) | −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 | ||||||||
\(126\) | 7.68614 | + | 1.98072i | 0.684736 | + | 0.176456i | ||||
\(127\) | −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 | \(-0.197939\pi\) | ||||
0.812806 | + | 0.582535i | \(0.197939\pi\) | |||||||
\(132\) | 2.31386 | − | 0.543620i | 0.201396 | − | 0.0473161i | ||||
\(133\) | 8.43070 | − | 2.92048i | 0.731035 | − | 0.253238i | ||||
\(134\) | 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 | \(-0.317338\pi\) |
0.998738 | − | 0.0502287i | \(-0.0159950\pi\) | |||||||
\(140\) | −2.18614 | − | 6.31084i | −0.184763 | − | 0.533364i | ||||
\(141\) | −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 | ||||
\(147\) | 11.9891 | + | 1.80579i | 0.988846 | + | 0.148939i | ||||
\(148\) | − | 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 | ||||
\(154\) | 3.43070 | − | 1.18843i | 0.276454 | − | 0.0957665i | ||||
\(155\) | − | 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 | 0.260989 | − | 0.965342i | \(-0.415951\pi\) |
−0.705516 | + | 0.708694i | \(0.749285\pi\) | |||||||
\(168\) | 0.186141 | + | 4.57879i | 0.0143611 | + | 0.353262i | ||||
\(169\) | 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 | \(-0.907714\pi\) |
0.231552 | − | 0.972823i | \(-0.425620\pi\) | |||||||
\(174\) | 1.00000 | − | 0.939764i | 0.0758098 | − | 0.0712433i | ||||
\(175\) | −0.686141 | + | 3.56529i | −0.0518674 | + | 0.269511i | ||||
\(176\) | 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 | \(0.148789\pi\) | ||||
−0.892727 | + | 0.450598i | \(0.851211\pi\) | |||||||
\(182\) | 8.50000 | + | 4.33013i | 0.630062 | + | 0.320970i | ||||
\(183\) | −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 | ||||
\(189\) | 6.61684 | + | 12.0506i | 0.481305 | + | 0.876553i | ||||
\(190\) | − | 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 | −0.602549 | − | 0.798082i | \(-0.705848\pi\) |
0.389885 | + | 0.920864i | \(0.372515\pi\) | |||||||
\(200\) | −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 | ||||||||
\(210\) | 5.37228 | − | 10.2448i | 0.370723 | − | 0.706960i | ||||
\(211\) | −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 | ||||
\(217\) | −2.37228 | + | 12.3267i | −0.161041 | + | 0.836793i | ||||
\(218\) | 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 | −0.951311 | − | 0.308232i | \(-0.900263\pi\) |
0.742592 | + | 0.669744i | \(0.233596\pi\) | |||||||
\(224\) | −2.50000 | + | 0.866025i | −0.167038 | + | 0.0578638i | ||||
\(225\) | −3.68614 | + | 1.83324i | −0.245743 | + | 0.122216i | ||||
\(226\) | − | 17.0256i | − | 1.13252i | ||||||
\(227\) | 3.30298 | − | 1.90698i | 0.219227 | − | 0.126571i | −0.386365 | − | 0.922346i | \(-0.626270\pi\) |
0.605592 | + | 0.795775i | \(0.292936\pi\) | |||||||
\(228\) | −1.68614 | + | 5.59230i | −0.111667 | + | 0.370359i | ||||
\(229\) | −12.1168 | −0.800704 | −0.400352 | − | 0.916362i | \(-0.631112\pi\) | ||||
−0.400352 | + | 0.916362i | \(0.631112\pi\) | |||||||
\(230\) | 1.18614 | + | 2.05446i | 0.0782118 | + | 0.135467i | ||||
\(231\) | 5.56930 | + | 2.92048i | 0.366433 | + | 0.192154i | ||||
\(232\) | 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 | ||||
\(238\) | −0.686141 | + | 3.56529i | −0.0444759 | + | 0.231104i | ||||
\(239\) | −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 | 0.845100 | − | 0.534609i | \(-0.179541\pi\) |
−0.885535 | + | 0.464573i | \(0.846208\pi\) | |||||||
\(242\) | −9.11684 | −0.586053 | ||||||||
\(243\) | −6.31386 | + | 14.2525i | −0.405034 | + | 0.914302i | ||||
\(244\) | −4.50000 | − | 2.59808i | −0.288083 | − | 0.166325i | ||||
\(245\) | 6.55842 | − | 16.4082i | 0.419002 | − | 1.04828i | ||||
\(246\) | 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 | 0.883111 | − | 0.469164i | \(-0.155445\pi\) |
−0.847864 | + | 0.530214i | \(0.822111\pi\) | |||||||
\(252\) | −5.55842 | + | 5.66603i | −0.350148 | + | 0.356927i | ||||
\(253\) | −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 | \(0.408971\pi\) |
−0.971901 | + | 0.235392i | \(0.924363\pi\) | |||||||
\(258\) | 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 | ||||||||
\(266\) | −1.68614 | + | 8.76144i | −0.103384 | + | 0.537199i | ||||
\(267\) | 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 | \(-0.843649\pi\) |
0.0324014 | − | 0.999475i | \(-0.489684\pi\) | |||||||
\(270\) | 12.9307 | − | 2.20193i | 0.786938 | − | 0.134005i | ||||
\(271\) | −2.00000 | + | 3.46410i | −0.121491 | + | 0.210429i | −0.920356 | − | 0.391082i | \(-0.872101\pi\) |
0.798865 | + | 0.601511i | \(0.205434\pi\) | |||||||
\(272\) | −1.37228 | −0.0832068 | ||||||||
\(273\) | 4.61684 | + | 15.8646i | 0.279424 | + | 0.960168i | ||||
\(274\) | 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 | ||||
\(280\) | 6.55842 | + | 1.26217i | 0.391941 | + | 0.0754290i | ||||
\(281\) | 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 | 0.682098 | − | 0.731260i | \(-0.261068\pi\) |
−0.292241 | + | 0.956345i | \(0.594401\pi\) | |||||||
\(284\) | −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 | −0.00308982 | − | 0.999995i | \(-0.500984\pi\) |
0.864476 | + | 0.502673i | \(0.167650\pi\) | |||||||
\(294\) | −7.55842 | + | 9.47999i | −0.440816 | + | 0.552884i | ||||
\(295\) | 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 | ||||
\(301\) | 10.0000 | − | 3.46410i | 0.576390 | − | 0.199667i | ||||
\(302\) | 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 | \(-0.623265\pi\) | ||||
−0.377643 | + | 0.925951i | \(0.623265\pi\) | |||||||
\(308\) | −0.686141 | + | 3.56529i | −0.0390965 | + | 0.203151i | ||||
\(309\) | 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 | \(-0.458115\pi\) | ||||
0.131207 | + | 0.991355i | \(0.458115\pi\) | |||||||
\(312\) | −5.55842 | + | 2.84674i | −0.314684 | + | 0.161165i | ||||
\(313\) | − | 13.8564i | − | 0.783210i | −0.920133 | − | 0.391605i | \(-0.871920\pi\) | ||
0.920133 | − | 0.391605i | \(-0.128080\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 19.3030 | − | 5.37108i | 1.08760 | − | 0.302626i | ||||
\(316\) | −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 | ||||
\(322\) | −0.813859 | − | 2.34941i | −0.0453546 | − | 0.130927i | ||||
\(323\) | −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 | ||||
\(329\) | 11.0584 | + | 2.12819i | 0.609671 | + | 0.117331i | ||||
\(330\) | 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 | ||||
\(336\) | −4.05842 | − | 2.12819i | −0.221405 | − | 0.116103i | ||||
\(337\) | 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 | −0.902026 | − | 0.431682i | \(-0.857920\pi\) |
0.824860 | + | 0.565337i | \(0.191254\pi\) | |||||||
\(350\) | −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 | −0.123523 | − | 0.992342i | \(-0.539419\pi\) |
−0.921155 | + | 0.389197i | \(0.872753\pi\) | |||||||
\(354\) | −3.74456 | − | 15.9383i | −0.199021 | − | 0.847112i | ||||
\(355\) | 2.44158 | − | 1.40965i | 0.129586 | − | 0.0748162i | ||||
\(356\) | 12.4742i | 0.661132i | ||||||||
\(357\) | −5.31386 | + | 3.36291i | −0.281239 | + | 0.177984i | ||||
\(358\) | 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 | ||||
\(364\) | −8.00000 | + | 5.19615i | −0.419314 | + | 0.272352i | ||||
\(365\) | 1.87953i | 0.0983790i | ||||||||
\(366\) | −2.05842 | − | 8.76144i | −0.107595 | − | 0.457968i | ||||
\(367\) | −8.23369 | − | 4.75372i | −0.429795 | − | 0.248142i | 0.269464 | − | 0.963010i | \(-0.413153\pi\) |
−0.699259 | + | 0.714868i | \(0.746487\pi\) | |||||||
\(368\) | 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 | ||||
\(371\) | 37.2921 | + | 7.17687i | 1.93611 | + | 0.372605i | ||||
\(372\) | −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 | ||||
\(378\) | −13.7446 | − | 0.294954i | −0.706944 | − | 0.0151708i | ||||
\(379\) | −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 | −0.994561 | − | 0.104152i | \(-0.966787\pi\) |
−0.407082 | + | 0.913392i | \(0.633454\pi\) | |||||||
\(384\) | 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 | ||||||
\(392\) | −6.50000 | − | 2.59808i | −0.328300 | − | 0.131223i | ||||
\(393\) | −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 | 0.985337 | − | 0.170617i | \(-0.0545761\pi\) |
−0.640427 | + | 0.768019i | \(0.721243\pi\) | |||||||
\(398\) | − | 3.46410i | − | 0.173640i | ||||||
\(399\) | −13.0584 | + | 8.26411i | −0.653739 | + | 0.413723i | ||||
\(400\) | 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 | ||||
\(406\) | 0.686141 | + | 1.98072i | 0.0340526 | + | 0.0983014i | ||||
\(407\) | 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 | 0.883846 | − | 0.467777i | \(-0.154945\pi\) |
−0.847030 | + | 0.531545i | \(0.821612\pi\) | |||||||
\(410\) | −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 | ||||
\(413\) | −8.18614 | − | 23.6314i | −0.402814 | − | 1.16282i | ||||
\(414\) | 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 | −0.996623 | − | 0.0821127i | \(-0.973833\pi\) |
0.569423 | + | 0.822045i | \(0.307167\pi\) | |||||||
\(420\) | 6.18614 | + | 9.77495i | 0.301853 | + | 0.476969i | ||||
\(421\) | − | 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 | ||||
\(427\) | −4.50000 | − | 12.9904i | −0.217770 | − | 0.628649i | ||||
\(428\) | − | 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 | 0.459613 | − | 0.888119i | \(-0.347988\pi\) |
0.998940 | + | 0.0460230i | \(0.0146548\pi\) | |||||||
\(434\) | −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 | 0.998395 | − | 0.0566279i | \(-0.0180349\pi\) |
0.450157 | + | 0.892950i | \(0.351368\pi\) | |||||||
\(440\) | 3.00000 | + | 1.73205i | 0.143019 | + | 0.0825723i | ||||
\(441\) | −20.9307 | + | 1.70460i | −0.996700 | + | 0.0811714i | ||||
\(442\) | −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 | ||||
\(448\) | 0.500000 | − | 2.59808i | 0.0236228 | − | 0.122748i | ||||
\(449\) | 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 | ||||||||
\(455\) | 24.0475 | − | 1.26217i | 1.12737 | − | 0.0591714i | ||||
\(456\) | −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 | −0.163758 | − | 0.986501i | \(-0.552362\pi\) |
0.772456 | + | 0.635069i | \(0.219028\pi\) | |||||||
\(462\) | −5.31386 | + | 3.36291i | −0.247223 | + | 0.156457i | ||||
\(463\) | − | 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 | \(-0.650050\pi\) | ||||
−0.454131 | + | 0.890935i | \(0.650050\pi\) | |||||||
\(468\) | −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 | −0.121526 | − | 0.992588i | \(-0.538779\pi\) |
−0.920369 | + | 0.391050i | \(0.872112\pi\) | |||||||
\(480\) | −3.18614 | + | 2.99422i | −0.145427 | + | 0.136667i | ||||
\(481\) | 28.4674 | + | 8.21782i | 1.29800 | + | 0.374701i | ||||
\(482\) | 1.25544 | 0.0571836 | ||||||||
\(483\) | 2.00000 | − | 3.81396i | 0.0910032 | − | 0.173541i | ||||
\(484\) | 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 | ||||
\(490\) | 10.9307 | + | 13.8839i | 0.493799 | + | 0.627209i | ||||
\(491\) | −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 | ||||
\(497\) | −2.79211 | + | 0.967215i | −0.125243 | + | 0.0433855i | ||||
\(498\) | −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 | \(-0.995470\pi\) |
0.487624 | − | 0.873054i | \(-0.337864\pi\) | |||||||
\(504\) | −2.12772 | − | 7.64675i | −0.0947761 | − | 0.340613i | ||||
\(505\) | 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 | −0.111381 | − | 0.993778i | \(-0.535527\pi\) |
−0.916327 | + | 0.400431i | \(0.868861\pi\) | |||||||
\(510\) | 1.37228 | + | 5.84096i | 0.0607656 | + | 0.258642i | ||||
\(511\) | 0.372281 | − | 1.93443i | 0.0164688 | − | 0.0855742i | ||||
\(512\) | 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 | ||||
\(518\) | 7.11684 | + | 20.5446i | 0.312696 | + | 0.902676i | ||||
\(519\) | 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 | \(-0.614854\pi\) | ||||
−0.353046 | + | 0.935606i | \(0.614854\pi\) | |||||||
\(522\) | −1.31386 | + | 1.98072i | −0.0575061 | + | 0.0866936i | ||||
\(523\) | −7.50000 | − | 4.33013i | −0.327952 | − | 0.189343i | 0.326979 | − | 0.945031i | \(-0.393969\pi\) |
−0.654932 | + | 0.755688i | \(0.727303\pi\) | |||||||
\(524\) | −9.30298 | − | 16.1132i | −0.406403 | − | 0.703910i | ||||
\(525\) | −0.255437 | − | 6.28339i | −0.0111482 | − | 0.274230i | ||||
\(526\) | 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 | ||||||||
\(539\) | −7.54755 | + | 5.94215i | −0.325096 | + | 0.255947i | ||||
\(540\) | −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 | ||||||||
\(546\) | −16.0475 | − | 3.93398i | −0.686772 | − | 0.168359i | ||||
\(547\) | 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 | ||||
\(553\) | 7.68614 | − | 39.9384i | 0.326848 | − | 1.69835i | ||||
\(554\) | −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 | \(0.107454\pi\) |
−0.184950 | + | 0.982748i | \(0.559212\pi\) | |||||||
\(564\) | −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 | ||||
\(567\) | −15.9307 | − | 17.6978i | −0.669027 | − | 0.743238i | ||||
\(568\) | −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 | ||||
\(574\) | 5.31386 | + | 15.3398i | 0.221796 | + | 0.640270i | ||||
\(575\) | 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 | \(-0.815969\pi\) | ||||
−0.837475 | + | 0.546475i | \(0.815969\pi\) | |||||||
\(578\) | 7.55842 | + | 13.0916i | 0.314389 | + | 0.544538i | ||||
\(579\) | 10.7554 | + | 3.24289i | 0.446981 | + | 0.134770i | ||||
\(580\) | 2.00000 | 0.0830455 | ||||||||
\(581\) | −13.1168 | − | 2.52434i | −0.544178 | − | 0.104727i | ||||
\(582\) | 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 | 0.372102 | − | 0.928192i | \(-0.378637\pi\) |
−0.617786 | + | 0.786346i | \(0.711970\pi\) | |||||||
\(588\) | −4.43070 | − | 11.2858i | −0.182719 | − | 0.465418i | ||||
\(589\) | −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 | \(0.181816\pi\) | ||||
−0.841258 | + | 0.540634i | \(0.818184\pi\) | |||||||
\(594\) | −6.68614 | − | 2.47805i | −0.274336 | − | 0.101676i | ||||
\(595\) | 3.00000 | + | 8.66025i | 0.122988 | + | 0.355036i | ||||
\(596\) | 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 | 0.847321 | − | 0.531082i | \(-0.178214\pi\) |
−0.0362698 | + | 0.999342i | \(0.511548\pi\) | |||||||
\(602\) | −2.00000 | + | 10.3923i | −0.0815139 | + | 0.423559i | ||||
\(603\) | −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 | −0.866214 | − | 0.499673i | \(-0.833453\pi\) |
−0.000377344 | 1.00000i | \(0.500120\pi\) | ||||||||
\(608\) | 1.68614 | − | 2.92048i | 0.0683820 | − | 0.118441i | ||||
\(609\) | −1.68614 | + | 3.21543i | −0.0683259 | + | 0.130296i | ||||
\(610\) | −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 | \(-0.247437\pi\) | ||||
0.712777 | + | 0.701391i | \(0.247437\pi\) | |||||||
\(620\) | −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 | ||||||||
\(630\) | −5.00000 | + | 19.4024i | −0.199205 | + | 0.773011i | ||||
\(631\) | −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 | ||||
\(637\) | −25.0000 | − | 3.46410i | −0.990536 | − | 0.137253i | ||||
\(638\) | 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 | \(0.0445280\pi\) |
−0.374363 | + | 0.927282i | \(0.622139\pi\) | |||||||
\(644\) | 2.44158 | + | 0.469882i | 0.0962117 | + | 0.0185159i | ||||
\(645\) | 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 | −0.735536 | − | 0.677486i | \(-0.763070\pi\) |
0.954488 | + | 0.298250i | \(0.0964030\pi\) | |||||||
\(648\) | 5.43070 | − | 7.17687i | 0.213338 | − | 0.281934i | ||||
\(649\) | − | 12.9715i | − | 0.509178i | ||||||
\(650\) | 1.37228 | − | 4.75372i | 0.0538253 | − | 0.186456i | ||||
\(651\) | −0.883156 | − | 21.7244i | −0.0346136 | − | 0.851445i | ||||
\(652\) | 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 | \(0.588098\pi\) |
−0.696443 | + | 0.717613i | \(0.745235\pi\) | |||||||
\(662\) | − | 22.0742i | − | 0.857939i | ||||||
\(663\) | −7.19702 | − | 4.65253i | −0.279509 | − | 0.180689i | ||||
\(664\) | − | 5.04868i | − | 0.195927i | ||||||
\(665\) | 7.37228 | + | 21.2819i | 0.285885 | + | 0.825278i | ||||
\(666\) | −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 | ||||||
\(672\) | 3.87228 | − | 2.45060i | 0.149376 | − | 0.0945339i | ||||
\(673\) | 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 | \(-0.526776\pi\) | ||||
−0.0840202 | + | 0.996464i | \(0.526776\pi\) | |||||||
\(678\) | 6.74456 | + | 28.7075i | 0.259023 | + | 1.10250i | ||||
\(679\) | 26.8614 | − | 9.30506i | 1.03085 | − | 0.357096i | ||||
\(680\) | −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 | ||||
\(686\) | −8.50000 | − | 16.4545i | −0.324532 | − | 0.628235i | ||||
\(687\) | 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 | \(-0.566242\pi\) |
0.950643 | − | 0.310286i | \(-0.100425\pi\) | |||||||
\(692\) | −9.55842 | + | 16.5557i | −0.363357 | + | 0.629352i | ||||
\(693\) | −10.5475 | − | 2.71810i | −0.400668 | − | 0.103252i | ||||
\(694\) | 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 | ||||
\(700\) | 3.43070 | − | 1.18843i | 0.129668 | − | 0.0449185i | ||||
\(701\) | 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 | ||||
\(714\) | −0.255437 | − | 6.28339i | −0.00955950 | − | 0.235150i | ||||
\(715\) | 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 | 0.930116 | − | 0.367266i | \(-0.119706\pi\) |
−0.783120 | + | 0.621871i | \(0.786373\pi\) | |||||||
\(720\) | −7.55842 | − | 0.469882i | −0.281686 | − | 0.0175115i | ||||
\(721\) | −30.3505 | − | 5.84096i | −1.13031 | − | 0.217529i | ||||
\(722\) | 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 | \(0.199161\pi\) | ||||
−0.810564 | + | 0.585650i | \(0.800839\pi\) | |||||||
\(728\) | −0.500000 | − | 9.52628i | −0.0185312 | − | 0.353067i | ||||
\(729\) | 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 | \(-0.703122\pi\) | ||||
−0.595691 | + | 0.803214i | \(0.703122\pi\) | |||||||
\(734\) | 8.23369 | − | 4.75372i | 0.303911 | − | 0.175463i | ||||
\(735\) | −4.55842 | + | 30.2646i | −0.168140 | + | 1.11633i | ||||
\(736\) | 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 | ||||||||
\(756\) | 7.12772 | − | 11.7557i | 0.259233 | − | 0.427549i | ||||
\(757\) | −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 | −0.208353 | − | 0.978054i | \(-0.566810\pi\) |
0.742843 | + | 0.669466i | \(0.233477\pi\) | |||||||
\(762\) | 17.9307 | + | 19.0800i | 0.649561 | + | 0.691196i | ||||
\(763\) | −51.7011 | − | 9.94987i | −1.87170 | − | 0.360210i | ||||
\(764\) | −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 | −0.758896 | − | 0.651212i | \(-0.774261\pi\) |
0.943414 | + | 0.331617i | \(0.107594\pi\) | |||||||
\(770\) | 3.00000 | + | 8.66025i | 0.108112 | + | 0.312094i | ||||
\(771\) | 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 | \(-0.280768\pi\) |
0.986396 | − | 0.164388i | \(-0.0525649\pi\) | |||||||
\(774\) | −10.7446 | + | 5.34363i | −0.386205 | + | 0.192073i | ||||
\(775\) | 6.51087 | 0.233878 | ||||||||
\(776\) | 5.37228 | + | 9.30506i | 0.192854 | + | 0.334032i | ||||
\(777\) | −17.4891 | + | 33.3514i | −0.627419 | + | 1.19647i | ||||
\(778\) | 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 | ||||
\(784\) | 5.50000 | − | 4.33013i | 0.196429 | − | 0.154647i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 9.30298 | − | 30.8545i | 0.331826 | − | 1.10054i | ||||
\(787\) | −7.36141 | − | 12.7503i | −0.262406 | − | 0.454500i | 0.704475 | − | 0.709729i | \(-0.251183\pi\) |
−0.966881 | + | 0.255229i | \(0.917849\pi\) | |||||||
\(788\) | 15.6060 | 0.555940 | ||||||||
\(789\) | 23.0693 | + | 6.95565i | 0.821289 | + | 0.247628i | ||||
\(790\) | −33.6060 | − | 19.4024i | −1.19565 | − | 0.690307i | ||||
\(791\) | 14.7446 | + | 42.5639i | 0.524256 | + | 1.51340i | ||||
\(792\) | 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 | \(0.203942\pi\) |
0.116837 | + | 0.993151i | \(0.462724\pi\) | |||||||
\(798\) | −0.627719 | − | 15.4410i | −0.0222210 | − | 0.546605i | ||||
\(799\) | −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 | \(-0.517428\pi\) | ||||
−0.0547236 | + | 0.998502i | \(0.517428\pi\) | |||||||
\(812\) | −2.05842 | − | 0.396143i | −0.0722365 | − | 0.0139019i | ||||
\(813\) | 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 | ||||||||
\(819\) | −14.0693 | − | 24.9210i | −0.491621 | − | 0.870809i | ||||
\(820\) | 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 | ||||
\(826\) | 24.5584 | + | 4.72627i | 0.854497 | + | 0.164448i | ||||
\(827\) | 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 | 0.715768 | − | 0.698338i | \(-0.246077\pi\) |
−0.246894 | + | 0.969042i | \(0.579410\pi\) | |||||||
\(830\) | −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 | −0.458105 | − | 0.888898i | \(-0.651472\pi\) |
0.540756 | + | 0.841180i | \(0.318138\pi\) | |||||||
\(840\) | −11.5584 | + | 0.469882i | −0.398803 | + | 0.0162125i | ||||
\(841\) | −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 | ||||
\(847\) | 22.7921 | − | 7.89542i | 0.783146 | − | 0.271290i | ||||
\(848\) | −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 | \(-0.761133\pi\) | ||||
−0.731401 | + | 0.681948i | \(0.761133\pi\) | |||||||
\(854\) | 13.5000 | + | 2.59808i | 0.461960 | + | 0.0889043i | ||||
\(855\) | −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 | \(-0.277152\pi\) | ||||
0.644293 | + | 0.764778i | \(0.277152\pi\) | |||||||
\(858\) | −7.19702 | − | 4.65253i | −0.245702 | − | 0.158835i | ||||
\(859\) | 16.2333i | 0.553872i | 0.960888 | + | 0.276936i | \(0.0893190\pi\) | ||||
−0.960888 | + | 0.276936i | \(0.910681\pi\) | |||||||
\(860\) | 8.74456 | + | 5.04868i | 0.298187 | + | 0.172158i | ||||
\(861\) | −13.0584 | + | 24.9021i | −0.445030 | + | 0.848663i | ||||
\(862\) | −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 | ||||
\(868\) | 11.8614 | − | 4.10891i | 0.402602 | − | 0.139466i | ||||
\(869\) | 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 | ||||
\(875\) | 23.7921 | + | 4.57879i | 0.804320 | + | 0.154791i | ||||
\(876\) | 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 | −0.582309 | − | 0.812968i | \(-0.697851\pi\) |
0.995205 | + | 0.0978105i | \(0.0311839\pi\) | |||||||
\(882\) | 8.98913 | − | 18.9788i | 0.302680 | − | 0.639050i | ||||
\(883\) | −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 | −0.924580 | − | 0.380988i | \(-0.875584\pi\) |
0.792235 | + | 0.610216i | \(0.208917\pi\) | |||||||
\(888\) | −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 | ||||||||
\(903\) | −15.4891 | + | 9.80240i | −0.515446 | + | 0.326203i | ||||
\(904\) | −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 | ||||
\(910\) | −10.9307 | + | 21.4569i | −0.362349 | + | 0.711288i | ||||
\(911\) | 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 | ||||
\(917\) | 9.30298 | − | 48.3397i | 0.307212 | − | 1.59632i | ||||
\(918\) | 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 | ||||
\(924\) | −0.255437 | − | 6.28339i | −0.00840327 | − | 0.206708i | ||||
\(925\) | −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 | −0.451336 | − | 0.892354i | \(-0.649053\pi\) |
0.547133 | + | 0.837046i | \(0.315719\pi\) | |||||||
\(930\) | −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 | \(-0.915666\pi\) | ||
0.965108 | − | 0.261853i | \(-0.0843336\pi\) | |||||||
\(938\) | −7.11684 | − | 20.5446i | −0.232373 | − | 0.670804i | ||||
\(939\) | 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 | \(0.0860319\pi\) | ||||
−0.963697 | + | 0.266999i | \(0.913968\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.88316 | − | 4.99377i | −0.0938885 | − | 0.162620i | ||||
\(944\) | 9.45254i | 0.307654i | ||||||||
\(945\) | −30.4198 | + | 16.7031i | −0.989557 | + | 0.543353i | ||||
\(946\) | −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 | ||||
\(952\) | 3.43070 | − | 1.18843i | 0.111190 | − | 0.0385173i | ||||
\(953\) | −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 | ||||
\(959\) | −4.06930 | + | 1.40965i | −0.131404 | + | 0.0455198i | ||||
\(960\) | −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 | ||||
\(966\) | 2.30298 | + | 3.63903i | 0.0740973 | + | 0.117084i | ||||
\(967\) | − | 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 | 1.00000 | 0.000815578i | \(-0.000259607\pi\) | |
−0.500706 | + | 0.865617i | \(0.666926\pi\) | |||||||
\(972\) | 15.5000 | − | 1.65831i | 0.497163 | − | 0.0531904i | ||||
\(973\) | −18.1753 | − | 52.4675i | −0.582672 | − | 1.68203i | ||||
\(974\) | − | 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 | \(-0.720026\pi\) | ||
0.637487 | − | 0.770461i | \(-0.279974\pi\) | |||||||
\(984\) | −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 | ||||
\(987\) | −19.4891 | + | 0.792287i | −0.620346 | + | 0.0252188i | ||||
\(988\) | 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 | ||||
\(994\) | 0.558422 | − | 2.90165i | 0.0177121 | − | 0.0920346i | ||||
\(995\) | −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 | −0.581069 | − | 0.813854i | \(-0.697366\pi\) |
0.414284 | + | 0.910148i | \(0.364032\pi\) | |||||||
\(998\) | 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.e.251.1 | ✓ | 4 | |
3.2 | odd | 2 | 546.2.q.g.251.1 | yes | 4 | ||
7.6 | odd | 2 | 546.2.q.f.251.2 | yes | 4 | ||
13.10 | even | 6 | 546.2.q.h.335.1 | yes | 4 | ||
21.20 | even | 2 | 546.2.q.h.251.2 | yes | 4 | ||
39.23 | odd | 6 | 546.2.q.f.335.2 | yes | 4 | ||
91.62 | odd | 6 | 546.2.q.g.335.2 | yes | 4 | ||
273.62 | even | 6 | inner | 546.2.q.e.335.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.q.e.251.1 | ✓ | 4 | 1.1 | even | 1 | trivial | |
546.2.q.e.335.1 | yes | 4 | 273.62 | even | 6 | inner | |
546.2.q.f.251.2 | yes | 4 | 7.6 | odd | 2 | ||
546.2.q.f.335.2 | yes | 4 | 39.23 | odd | 6 | ||
546.2.q.g.251.1 | yes | 4 | 3.2 | odd | 2 | ||
546.2.q.g.335.2 | yes | 4 | 91.62 | odd | 6 | ||
546.2.q.h.251.2 | yes | 4 | 21.20 | even | 2 | ||
546.2.q.h.335.1 | yes | 4 | 13.10 | even | 6 |