Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(17,546)]
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, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bi (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: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.15 | ||
Character | \(\chi\) | \(=\) | 546.17 |
Dual form | 546.2.bi.e.257.15 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 1.66045 | + | 0.492861i | 0.958660 | + | 0.284553i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 1.80315 | − | 1.04105i | 0.806393 | − | 0.465571i | −0.0393090 | − | 0.999227i | \(-0.512516\pi\) |
0.845702 | + | 0.533656i | \(0.179182\pi\) | |||||||
\(6\) | −1.66045 | − | 0.492861i | −0.677875 | − | 0.201210i | ||||
\(7\) | −0.800654 | − | 2.52170i | −0.302619 | − | 0.953112i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.51418 | + | 1.63674i | 0.838059 | + | 0.545580i | ||||
\(10\) | −1.80315 | + | 1.04105i | −0.570206 | + | 0.329208i | ||||
\(11\) | 1.07812 | + | 1.86736i | 0.325066 | + | 0.563031i | 0.981526 | − | 0.191330i | \(-0.0612801\pi\) |
−0.656460 | + | 0.754361i | \(0.727947\pi\) | |||||||
\(12\) | 1.66045 | + | 0.492861i | 0.479330 | + | 0.142277i | ||||
\(13\) | 0.217235 | − | 3.59900i | 0.0602501 | − | 0.998183i | ||||
\(14\) | 0.800654 | + | 2.52170i | 0.213984 | + | 0.673952i | ||||
\(15\) | 3.50713 | − | 0.839905i | 0.905536 | − | 0.216863i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −0.557271 | −0.135158 | −0.0675790 | − | 0.997714i | \(-0.521527\pi\) | ||||
−0.0675790 | + | 0.997714i | \(0.521527\pi\) | |||||||
\(18\) | −2.51418 | − | 1.63674i | −0.592597 | − | 0.385783i | ||||
\(19\) | 1.94720 | − | 3.37265i | 0.446718 | − | 0.773738i | −0.551452 | − | 0.834207i | \(-0.685926\pi\) |
0.998170 | + | 0.0604682i | \(0.0192594\pi\) | |||||||
\(20\) | 1.80315 | − | 1.04105i | 0.403196 | − | 0.232785i | ||||
\(21\) | −0.0865985 | − | 4.58176i | −0.0188973 | − | 0.999821i | ||||
\(22\) | −1.07812 | − | 1.86736i | −0.229856 | − | 0.398123i | ||||
\(23\) | 2.07565i | 0.432802i | 0.976305 | + | 0.216401i | \(0.0694319\pi\) | ||||
−0.976305 | + | 0.216401i | \(0.930568\pi\) | |||||||
\(24\) | −1.66045 | − | 0.492861i | −0.338938 | − | 0.100605i | ||||
\(25\) | −0.332437 | + | 0.575798i | −0.0664874 | + | 0.115160i | ||||
\(26\) | −0.217235 | + | 3.59900i | −0.0426033 | + | 0.705822i | ||||
\(27\) | 3.36797 | + | 3.95686i | 0.648167 | + | 0.761499i | ||||
\(28\) | −0.800654 | − | 2.52170i | −0.151309 | − | 0.476556i | ||||
\(29\) | −6.10476 | − | 3.52458i | −1.13363 | − | 0.654499i | −0.188781 | − | 0.982019i | \(-0.560454\pi\) |
−0.944844 | + | 0.327520i | \(0.893787\pi\) | |||||||
\(30\) | −3.50713 | + | 0.839905i | −0.640311 | + | 0.153345i | ||||
\(31\) | 3.21742 | − | 5.57273i | 0.577865 | − | 1.00089i | −0.417859 | − | 0.908512i | \(-0.637219\pi\) |
0.995724 | − | 0.0923797i | \(-0.0294474\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.869816 | + | 3.63202i | 0.151415 | + | 0.632254i | ||||
\(34\) | 0.557271 | 0.0955711 | ||||||||
\(35\) | −4.06891 | − | 3.71347i | −0.687771 | − | 0.627692i | ||||
\(36\) | 2.51418 | + | 1.63674i | 0.419029 | + | 0.272790i | ||||
\(37\) | 8.31631i | 1.36719i | 0.729860 | + | 0.683596i | \(0.239585\pi\) | ||||
−0.729860 | + | 0.683596i | \(0.760415\pi\) | |||||||
\(38\) | −1.94720 | + | 3.37265i | −0.315877 | + | 0.547116i | ||||
\(39\) | 2.13451 | − | 5.86889i | 0.341796 | − | 0.939774i | ||||
\(40\) | −1.80315 | + | 1.04105i | −0.285103 | + | 0.164604i | ||||
\(41\) | −0.532863 | − | 0.307649i | −0.0832192 | − | 0.0480466i | 0.457813 | − | 0.889049i | \(-0.348633\pi\) |
−0.541032 | + | 0.841002i | \(0.681966\pi\) | |||||||
\(42\) | 0.0865985 | + | 4.58176i | 0.0133624 | + | 0.706981i | ||||
\(43\) | 4.33366 | + | 7.50612i | 0.660877 | + | 1.14467i | 0.980386 | + | 0.197089i | \(0.0631487\pi\) |
−0.319509 | + | 0.947583i | \(0.603518\pi\) | |||||||
\(44\) | 1.07812 | + | 1.86736i | 0.162533 | + | 0.281516i | ||||
\(45\) | 6.23736 | + | 0.333908i | 0.929810 | + | 0.0497761i | ||||
\(46\) | − | 2.07565i | − | 0.306037i | ||||||
\(47\) | −0.507011 | + | 0.292723i | −0.0739551 | + | 0.0426980i | −0.536522 | − | 0.843887i | \(-0.680262\pi\) |
0.462566 | + | 0.886585i | \(0.346929\pi\) | |||||||
\(48\) | 1.66045 | + | 0.492861i | 0.239665 | + | 0.0711384i | ||||
\(49\) | −5.71791 | + | 4.03801i | −0.816844 | + | 0.576859i | ||||
\(50\) | 0.332437 | − | 0.575798i | 0.0470137 | − | 0.0814301i | ||||
\(51\) | −0.925319 | − | 0.274657i | −0.129571 | − | 0.0384597i | ||||
\(52\) | 0.217235 | − | 3.59900i | 0.0301251 | − | 0.499092i | ||||
\(53\) | 6.68551 | + | 3.85988i | 0.918325 | + | 0.530195i | 0.883100 | − | 0.469184i | \(-0.155452\pi\) |
0.0352249 | + | 0.999379i | \(0.488785\pi\) | |||||||
\(54\) | −3.36797 | − | 3.95686i | −0.458323 | − | 0.538461i | ||||
\(55\) | 3.88803 | + | 2.24475i | 0.524262 | + | 0.302683i | ||||
\(56\) | 0.800654 | + | 2.52170i | 0.106992 | + | 0.336976i | ||||
\(57\) | 4.89547 | − | 4.64041i | 0.648421 | − | 0.614637i | ||||
\(58\) | 6.10476 | + | 3.52458i | 0.801594 | + | 0.462801i | ||||
\(59\) | 1.56562i | 0.203827i | 0.994793 | + | 0.101913i | \(0.0324965\pi\) | ||||
−0.994793 | + | 0.101913i | \(0.967504\pi\) | |||||||
\(60\) | 3.50713 | − | 0.839905i | 0.452768 | − | 0.108431i | ||||
\(61\) | −7.10333 | − | 4.10111i | −0.909488 | − | 0.525093i | −0.0292218 | − | 0.999573i | \(-0.509303\pi\) |
−0.880266 | + | 0.474480i | \(0.842636\pi\) | |||||||
\(62\) | −3.21742 | + | 5.57273i | −0.408612 | + | 0.707737i | ||||
\(63\) | 2.11438 | − | 7.65045i | 0.266387 | − | 0.963866i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −3.35503 | − | 6.71569i | −0.416140 | − | 0.832978i | ||||
\(66\) | −0.869816 | − | 3.63202i | −0.107067 | − | 0.447071i | ||||
\(67\) | 12.3495 | − | 7.12999i | 1.50873 | − | 0.871067i | 0.508784 | − | 0.860894i | \(-0.330095\pi\) |
0.999948 | − | 0.0101724i | \(-0.00323804\pi\) | |||||||
\(68\) | −0.557271 | −0.0675790 | ||||||||
\(69\) | −1.02301 | + | 3.44650i | −0.123155 | + | 0.414910i | ||||
\(70\) | 4.06891 | + | 3.71347i | 0.486327 | + | 0.443845i | ||||
\(71\) | −6.52888 | − | 11.3084i | −0.774836 | − | 1.34206i | −0.934887 | − | 0.354946i | \(-0.884499\pi\) |
0.160051 | − | 0.987109i | \(-0.448834\pi\) | |||||||
\(72\) | −2.51418 | − | 1.63674i | −0.296298 | − | 0.192892i | ||||
\(73\) | 0.198890 | − | 0.344488i | 0.0232783 | − | 0.0403192i | −0.854152 | − | 0.520024i | \(-0.825923\pi\) |
0.877430 | + | 0.479705i | \(0.159256\pi\) | |||||||
\(74\) | − | 8.31631i | − | 0.966751i | ||||||
\(75\) | −0.835783 | + | 0.792237i | −0.0965079 | + | 0.0914796i | ||||
\(76\) | 1.94720 | − | 3.37265i | 0.223359 | − | 0.386869i | ||||
\(77\) | 3.84572 | − | 4.21381i | 0.438260 | − | 0.480208i | ||||
\(78\) | −2.13451 | + | 5.86889i | −0.241686 | + | 0.664521i | ||||
\(79\) | 5.73441 | + | 9.93228i | 0.645171 | + | 1.11747i | 0.984262 | + | 0.176715i | \(0.0565472\pi\) |
−0.339091 | + | 0.940754i | \(0.610119\pi\) | |||||||
\(80\) | 1.80315 | − | 1.04105i | 0.201598 | − | 0.116393i | ||||
\(81\) | 3.64216 | + | 8.23011i | 0.404684 | + | 0.914456i | ||||
\(82\) | 0.532863 | + | 0.307649i | 0.0588449 | + | 0.0339741i | ||||
\(83\) | 12.4455i | 1.36607i | 0.730385 | + | 0.683035i | \(0.239340\pi\) | ||||
−0.730385 | + | 0.683035i | \(0.760660\pi\) | |||||||
\(84\) | −0.0865985 | − | 4.58176i | −0.00944867 | − | 0.499911i | ||||
\(85\) | −1.00484 | + | 0.580146i | −0.108990 | + | 0.0629256i | ||||
\(86\) | −4.33366 | − | 7.50612i | −0.467310 | − | 0.809405i | ||||
\(87\) | −8.39951 | − | 8.86119i | −0.900522 | − | 0.950019i | ||||
\(88\) | −1.07812 | − | 1.86736i | −0.114928 | − | 0.199062i | ||||
\(89\) | 8.70736i | 0.922978i | 0.887146 | + | 0.461489i | \(0.152685\pi\) | ||||
−0.887146 | + | 0.461489i | \(0.847315\pi\) | |||||||
\(90\) | −6.23736 | − | 0.333908i | −0.657475 | − | 0.0351970i | ||||
\(91\) | −9.24952 | + | 2.33375i | −0.969613 | + | 0.244644i | ||||
\(92\) | 2.07565i | 0.216401i | ||||||||
\(93\) | 8.08894 | − | 7.66749i | 0.838783 | − | 0.795081i | ||||
\(94\) | 0.507011 | − | 0.292723i | 0.0522942 | − | 0.0301921i | ||||
\(95\) | − | 8.10851i | − | 0.831916i | ||||||
\(96\) | −1.66045 | − | 0.492861i | −0.169469 | − | 0.0503024i | ||||
\(97\) | 1.64731 | + | 2.85322i | 0.167259 | + | 0.289701i | 0.937455 | − | 0.348106i | \(-0.113175\pi\) |
−0.770196 | + | 0.637807i | \(0.779842\pi\) | |||||||
\(98\) | 5.71791 | − | 4.03801i | 0.577596 | − | 0.407901i | ||||
\(99\) | −0.345799 | + | 6.45949i | −0.0347541 | + | 0.649203i | ||||
\(100\) | −0.332437 | + | 0.575798i | −0.0332437 | + | 0.0575798i | ||||
\(101\) | −7.94537 | − | 13.7618i | −0.790594 | − | 1.36935i | −0.925599 | − | 0.378505i | \(-0.876438\pi\) |
0.135005 | − | 0.990845i | \(-0.456895\pi\) | |||||||
\(102\) | 0.925319 | + | 0.274657i | 0.0916202 | + | 0.0271951i | ||||
\(103\) | −2.32058 | + | 1.33979i | −0.228653 | + | 0.132013i | −0.609951 | − | 0.792439i | \(-0.708811\pi\) |
0.381297 | + | 0.924452i | \(0.375477\pi\) | |||||||
\(104\) | −0.217235 | + | 3.59900i | −0.0213016 | + | 0.352911i | ||||
\(105\) | −4.92598 | − | 8.17144i | −0.480726 | − | 0.797450i | ||||
\(106\) | −6.68551 | − | 3.85988i | −0.649354 | − | 0.374905i | ||||
\(107\) | 13.7207i | 1.32643i | 0.748427 | + | 0.663217i | \(0.230809\pi\) | ||||
−0.748427 | + | 0.663217i | \(0.769191\pi\) | |||||||
\(108\) | 3.36797 | + | 3.95686i | 0.324083 | + | 0.380749i | ||||
\(109\) | −2.51915 | − | 1.45443i | −0.241291 | − | 0.139309i | 0.374479 | − | 0.927235i | \(-0.377822\pi\) |
−0.615770 | + | 0.787926i | \(0.711155\pi\) | |||||||
\(110\) | −3.88803 | − | 2.24475i | −0.370709 | − | 0.214029i | ||||
\(111\) | −4.09879 | + | 13.8088i | −0.389040 | + | 1.31067i | ||||
\(112\) | −0.800654 | − | 2.52170i | −0.0756547 | − | 0.238278i | ||||
\(113\) | −17.2893 | + | 9.98197i | −1.62644 | + | 0.939025i | −0.641295 | + | 0.767295i | \(0.721602\pi\) |
−0.985144 | + | 0.171730i | \(0.945064\pi\) | |||||||
\(114\) | −4.89547 | + | 4.64041i | −0.458503 | + | 0.434614i | ||||
\(115\) | 2.16085 | + | 3.74270i | 0.201500 | + | 0.349008i | ||||
\(116\) | −6.10476 | − | 3.52458i | −0.566813 | − | 0.327249i | ||||
\(117\) | 6.43680 | − | 8.69296i | 0.595082 | − | 0.803665i | ||||
\(118\) | − | 1.56562i | − | 0.144127i | ||||||
\(119\) | 0.446181 | + | 1.40527i | 0.0409014 | + | 0.128821i | ||||
\(120\) | −3.50713 | + | 0.839905i | −0.320155 | + | 0.0766725i | ||||
\(121\) | 3.17530 | − | 5.49979i | 0.288664 | − | 0.499981i | ||||
\(122\) | 7.10333 | + | 4.10111i | 0.643105 | + | 0.371297i | ||||
\(123\) | −0.733163 | − | 0.773462i | −0.0661071 | − | 0.0697407i | ||||
\(124\) | 3.21742 | − | 5.57273i | 0.288933 | − | 0.500446i | ||||
\(125\) | 11.7948i | 1.05496i | ||||||||
\(126\) | −2.11438 | + | 7.65045i | −0.188364 | + | 0.681556i | ||||
\(127\) | −7.35797 | + | 12.7444i | −0.652915 | + | 1.13088i | 0.329498 | + | 0.944156i | \(0.393121\pi\) |
−0.982412 | + | 0.186725i | \(0.940213\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 3.49634 | + | 14.5994i | 0.307836 | + | 1.28541i | ||||
\(130\) | 3.35503 | + | 6.71569i | 0.294255 | + | 0.589005i | ||||
\(131\) | −2.82161 | − | 4.88718i | −0.246526 | − | 0.426995i | 0.716034 | − | 0.698066i | \(-0.245956\pi\) |
−0.962559 | + | 0.271071i | \(0.912622\pi\) | |||||||
\(132\) | 0.869816 | + | 3.63202i | 0.0757077 | + | 0.316127i | ||||
\(133\) | −10.0638 | − | 2.20992i | −0.872644 | − | 0.191624i | ||||
\(134\) | −12.3495 | + | 7.12999i | −1.06683 | + | 0.615937i | ||||
\(135\) | 10.1922 | + | 3.62859i | 0.877208 | + | 0.312299i | ||||
\(136\) | 0.557271 | 0.0477856 | ||||||||
\(137\) | −12.8200 | −1.09528 | −0.547642 | − | 0.836713i | \(-0.684474\pi\) | ||||
−0.547642 | + | 0.836713i | \(0.684474\pi\) | |||||||
\(138\) | 1.02301 | − | 3.44650i | 0.0870840 | − | 0.293386i | ||||
\(139\) | −3.54239 | + | 2.04520i | −0.300462 | + | 0.173472i | −0.642650 | − | 0.766160i | \(-0.722165\pi\) |
0.342189 | + | 0.939631i | \(0.388832\pi\) | |||||||
\(140\) | −4.06891 | − | 3.71347i | −0.343885 | − | 0.313846i | ||||
\(141\) | −0.986137 | + | 0.236165i | −0.0830477 | + | 0.0198887i | ||||
\(142\) | 6.52888 | + | 11.3084i | 0.547892 | + | 0.948976i | ||||
\(143\) | 6.95485 | − | 3.47451i | 0.581593 | − | 0.290553i | ||||
\(144\) | 2.51418 | + | 1.63674i | 0.209515 | + | 0.136395i | ||||
\(145\) | −14.6771 | −1.21886 | ||||||||
\(146\) | −0.198890 | + | 0.344488i | −0.0164603 | + | 0.0285100i | ||||
\(147\) | −11.4845 | + | 3.88678i | −0.947223 | + | 0.320576i | ||||
\(148\) | 8.31631i | 0.683596i | ||||||||
\(149\) | 0.573527 | − | 0.993378i | 0.0469852 | − | 0.0813807i | −0.841576 | − | 0.540138i | \(-0.818372\pi\) |
0.888562 | + | 0.458757i | \(0.151705\pi\) | |||||||
\(150\) | 0.835783 | − | 0.792237i | 0.0682414 | − | 0.0646859i | ||||
\(151\) | −4.15879 | − | 2.40108i | −0.338438 | − | 0.195397i | 0.321143 | − | 0.947031i | \(-0.395933\pi\) |
−0.659581 | + | 0.751633i | \(0.729266\pi\) | |||||||
\(152\) | −1.94720 | + | 3.37265i | −0.157939 | + | 0.273558i | ||||
\(153\) | −1.40108 | − | 0.912108i | −0.113270 | − | 0.0737395i | ||||
\(154\) | −3.84572 | + | 4.21381i | −0.309897 | + | 0.339558i | ||||
\(155\) | − | 13.3979i | − | 1.07615i | ||||||
\(156\) | 2.13451 | − | 5.86889i | 0.170898 | − | 0.469887i | ||||
\(157\) | −6.04701 | − | 3.49124i | −0.482604 | − | 0.278631i | 0.238897 | − | 0.971045i | \(-0.423214\pi\) |
−0.721501 | + | 0.692414i | \(0.756547\pi\) | |||||||
\(158\) | −5.73441 | − | 9.93228i | −0.456205 | − | 0.790170i | ||||
\(159\) | 9.19856 | + | 9.70416i | 0.729493 | + | 0.769590i | ||||
\(160\) | −1.80315 | + | 1.04105i | −0.142551 | + | 0.0823021i | ||||
\(161\) | 5.23415 | − | 1.66187i | 0.412509 | − | 0.130974i | ||||
\(162\) | −3.64216 | − | 8.23011i | −0.286155 | − | 0.646618i | ||||
\(163\) | −17.0431 | − | 9.83983i | −1.33492 | − | 0.770715i | −0.348869 | − | 0.937171i | \(-0.613434\pi\) |
−0.986049 | + | 0.166456i | \(0.946768\pi\) | |||||||
\(164\) | −0.532863 | − | 0.307649i | −0.0416096 | − | 0.0240233i | ||||
\(165\) | 5.34952 | + | 5.64356i | 0.416459 | + | 0.439350i | ||||
\(166\) | − | 12.4455i | − | 0.965958i | ||||||
\(167\) | −11.1356 | − | 6.42913i | −0.861698 | − | 0.497501i | 0.00288283 | − | 0.999996i | \(-0.499082\pi\) |
−0.864580 | + | 0.502495i | \(0.832416\pi\) | |||||||
\(168\) | 0.0865985 | + | 4.58176i | 0.00668122 | + | 0.353490i | ||||
\(169\) | −12.9056 | − | 1.56366i | −0.992740 | − | 0.120281i | ||||
\(170\) | 1.00484 | − | 0.580146i | 0.0770679 | − | 0.0444951i | ||||
\(171\) | 10.4157 | − | 5.29237i | 0.796512 | − | 0.404718i | ||||
\(172\) | 4.33366 | + | 7.50612i | 0.330438 | + | 0.572336i | ||||
\(173\) | 2.21541 | − | 3.83719i | 0.168434 | − | 0.291736i | −0.769435 | − | 0.638725i | \(-0.779462\pi\) |
0.937869 | + | 0.346988i | \(0.112796\pi\) | |||||||
\(174\) | 8.39951 | + | 8.86119i | 0.636765 | + | 0.671765i | ||||
\(175\) | 1.71815 | + | 0.377290i | 0.129880 | + | 0.0285205i | ||||
\(176\) | 1.07812 | + | 1.86736i | 0.0812665 | + | 0.140758i | ||||
\(177\) | −0.771635 | + | 2.59964i | −0.0579997 | + | 0.195401i | ||||
\(178\) | − | 8.70736i | − | 0.652644i | ||||||
\(179\) | 19.6844 | − | 11.3648i | 1.47128 | − | 0.849443i | 0.471799 | − | 0.881706i | \(-0.343605\pi\) |
0.999479 | + | 0.0322629i | \(0.0102714\pi\) | |||||||
\(180\) | 6.23736 | + | 0.333908i | 0.464905 | + | 0.0248880i | ||||
\(181\) | 10.2663i | 0.763090i | 0.924350 | + | 0.381545i | \(0.124608\pi\) | ||||
−0.924350 | + | 0.381545i | \(0.875392\pi\) | |||||||
\(182\) | 9.24952 | − | 2.33375i | 0.685620 | − | 0.172989i | ||||
\(183\) | −9.77343 | − | 10.3106i | −0.722473 | − | 0.762184i | ||||
\(184\) | − | 2.07565i | − | 0.153019i | ||||||
\(185\) | 8.65768 | + | 14.9955i | 0.636525 | + | 1.10249i | ||||
\(186\) | −8.08894 | + | 7.66749i | −0.593109 | + | 0.562208i | ||||
\(187\) | −0.600806 | − | 1.04063i | −0.0439353 | − | 0.0760982i | ||||
\(188\) | −0.507011 | + | 0.292723i | −0.0369776 | + | 0.0213490i | ||||
\(189\) | 7.28142 | − | 11.6611i | 0.529646 | − | 0.848219i | ||||
\(190\) | 8.10851i | 0.588253i | ||||||||
\(191\) | −3.37227 | − | 1.94698i | −0.244009 | − | 0.140879i | 0.373009 | − | 0.927828i | \(-0.378326\pi\) |
−0.617018 | + | 0.786949i | \(0.711659\pi\) | |||||||
\(192\) | 1.66045 | + | 0.492861i | 0.119833 | + | 0.0355692i | ||||
\(193\) | −3.11672 | + | 1.79944i | −0.224346 | + | 0.129526i | −0.607961 | − | 0.793967i | \(-0.708012\pi\) |
0.383615 | + | 0.923493i | \(0.374679\pi\) | |||||||
\(194\) | −1.64731 | − | 2.85322i | −0.118270 | − | 0.204849i | ||||
\(195\) | −2.26095 | − | 12.8046i | −0.161910 | − | 0.916957i | ||||
\(196\) | −5.71791 | + | 4.03801i | −0.408422 | + | 0.288430i | ||||
\(197\) | −5.48497 | + | 9.50024i | −0.390788 | + | 0.676864i | −0.992554 | − | 0.121808i | \(-0.961131\pi\) |
0.601766 | + | 0.798673i | \(0.294464\pi\) | |||||||
\(198\) | 0.345799 | − | 6.45949i | 0.0245749 | − | 0.459056i | ||||
\(199\) | 20.2743i | 1.43721i | 0.695421 | + | 0.718603i | \(0.255218\pi\) | ||||
−0.695421 | + | 0.718603i | \(0.744782\pi\) | |||||||
\(200\) | 0.332437 | − | 0.575798i | 0.0235068 | − | 0.0407150i | ||||
\(201\) | 24.0198 | − | 5.75239i | 1.69423 | − | 0.405742i | ||||
\(202\) | 7.94537 | + | 13.7618i | 0.559035 | + | 0.968276i | ||||
\(203\) | −4.00013 | + | 18.2163i | −0.280754 | + | 1.27854i | ||||
\(204\) | −0.925319 | − | 0.274657i | −0.0647853 | − | 0.0192298i | ||||
\(205\) | −1.28111 | −0.0894765 | ||||||||
\(206\) | 2.32058 | − | 1.33979i | 0.161682 | − | 0.0933474i | ||||
\(207\) | −3.39729 | + | 5.21854i | −0.236128 | + | 0.362714i | ||||
\(208\) | 0.217235 | − | 3.59900i | 0.0150625 | − | 0.249546i | ||||
\(209\) | 8.39727 | 0.580852 | ||||||||
\(210\) | 4.92598 | + | 8.17144i | 0.339925 | + | 0.563883i | ||||
\(211\) | 6.39897 | − | 11.0833i | 0.440523 | − | 0.763009i | −0.557205 | − | 0.830375i | \(-0.688126\pi\) |
0.997728 | + | 0.0673662i | \(0.0214596\pi\) | |||||||
\(212\) | 6.68551 | + | 3.85988i | 0.459163 | + | 0.265098i | ||||
\(213\) | −5.26742 | − | 21.9948i | −0.360918 | − | 1.50706i | ||||
\(214\) | − | 13.7207i | − | 0.937930i | ||||||
\(215\) | 15.6285 | + | 9.02310i | 1.06585 | + | 0.615370i | ||||
\(216\) | −3.36797 | − | 3.95686i | −0.229162 | − | 0.269230i | ||||
\(217\) | −16.6288 | − | 3.65152i | −1.12883 | − | 0.247881i | ||||
\(218\) | 2.51915 | + | 1.45443i | 0.170618 | + | 0.0985065i | ||||
\(219\) | 0.500031 | − | 0.473979i | 0.0337890 | − | 0.0320285i | ||||
\(220\) | 3.88803 | + | 2.24475i | 0.262131 | + | 0.151341i | ||||
\(221\) | −0.121059 | + | 2.00562i | −0.00814328 | + | 0.134912i | ||||
\(222\) | 4.09879 | − | 13.8088i | 0.275092 | − | 0.926786i | ||||
\(223\) | 6.84088 | − | 11.8488i | 0.458099 | − | 0.793451i | −0.540761 | − | 0.841176i | \(-0.681864\pi\) |
0.998861 | + | 0.0477249i | \(0.0151971\pi\) | |||||||
\(224\) | 0.800654 | + | 2.52170i | 0.0534960 | + | 0.168488i | ||||
\(225\) | −1.77824 | + | 0.903544i | −0.118549 | + | 0.0602362i | ||||
\(226\) | 17.2893 | − | 9.98197i | 1.15007 | − | 0.663991i | ||||
\(227\) | − | 3.74358i | − | 0.248470i | −0.992253 | − | 0.124235i | \(-0.960352\pi\) | ||
0.992253 | − | 0.124235i | \(-0.0396477\pi\) | |||||||
\(228\) | 4.89547 | − | 4.64041i | 0.324210 | − | 0.307318i | ||||
\(229\) | −4.38767 | − | 7.59967i | −0.289946 | − | 0.502201i | 0.683851 | − | 0.729622i | \(-0.260304\pi\) |
−0.973796 | + | 0.227421i | \(0.926971\pi\) | |||||||
\(230\) | −2.16085 | − | 3.74270i | −0.142482 | − | 0.246786i | ||||
\(231\) | 8.46244 | − | 5.10141i | 0.556788 | − | 0.335648i | ||||
\(232\) | 6.10476 | + | 3.52458i | 0.400797 | + | 0.231400i | ||||
\(233\) | −19.0891 | + | 11.0211i | −1.25057 | + | 0.722017i | −0.971223 | − | 0.238173i | \(-0.923451\pi\) |
−0.279347 | + | 0.960190i | \(0.590118\pi\) | |||||||
\(234\) | −6.43680 | + | 8.69296i | −0.420787 | + | 0.568277i | ||||
\(235\) | −0.609477 | + | 1.05565i | −0.0397579 | + | 0.0688627i | ||||
\(236\) | 1.56562i | 0.101913i | ||||||||
\(237\) | 4.62645 | + | 19.3183i | 0.300520 | + | 1.25486i | ||||
\(238\) | −0.446181 | − | 1.40527i | −0.0289216 | − | 0.0910900i | ||||
\(239\) | 12.3469 | 0.798656 | 0.399328 | − | 0.916808i | \(-0.369243\pi\) | ||||
0.399328 | + | 0.916808i | \(0.369243\pi\) | |||||||
\(240\) | 3.50713 | − | 0.839905i | 0.226384 | − | 0.0542156i | ||||
\(241\) | −1.22458 | −0.0788821 | −0.0394410 | − | 0.999222i | \(-0.512558\pi\) | ||||
−0.0394410 | + | 0.999222i | \(0.512558\pi\) | |||||||
\(242\) | −3.17530 | + | 5.49979i | −0.204116 | + | 0.353540i | ||||
\(243\) | 1.99132 | + | 15.4607i | 0.127743 | + | 0.991807i | ||||
\(244\) | −7.10333 | − | 4.10111i | −0.454744 | − | 0.262547i | ||||
\(245\) | −6.10647 | + | 13.2338i | −0.390128 | + | 0.845474i | ||||
\(246\) | 0.733163 | + | 0.773462i | 0.0467448 | + | 0.0493141i | ||||
\(247\) | −11.7152 | − | 7.74063i | −0.745418 | − | 0.492524i | ||||
\(248\) | −3.21742 | + | 5.57273i | −0.204306 | + | 0.353869i | ||||
\(249\) | −6.13390 | + | 20.6651i | −0.388720 | + | 1.30960i | ||||
\(250\) | − | 11.7948i | − | 0.745970i | ||||||
\(251\) | −6.93362 | − | 12.0094i | −0.437646 | − | 0.758026i | 0.559861 | − | 0.828586i | \(-0.310854\pi\) |
−0.997507 | + | 0.0705608i | \(0.977521\pi\) | |||||||
\(252\) | 2.11438 | − | 7.65045i | 0.133193 | − | 0.481933i | ||||
\(253\) | −3.87598 | + | 2.23780i | −0.243681 | + | 0.140689i | ||||
\(254\) | 7.35797 | − | 12.7444i | 0.461680 | − | 0.799654i | ||||
\(255\) | −1.95442 | + | 0.468054i | −0.122390 | + | 0.0293107i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 10.6560 | 0.664703 | 0.332351 | − | 0.943156i | \(-0.392158\pi\) | ||||
0.332351 | + | 0.943156i | \(0.392158\pi\) | |||||||
\(258\) | −3.49634 | − | 14.5994i | −0.217673 | − | 0.908920i | ||||
\(259\) | 20.9712 | − | 6.65849i | 1.30309 | − | 0.413738i | ||||
\(260\) | −3.35503 | − | 6.71569i | −0.208070 | − | 0.416489i | ||||
\(261\) | −9.57961 | − | 18.8533i | −0.592963 | − | 1.16699i | ||||
\(262\) | 2.82161 | + | 4.88718i | 0.174320 | + | 0.301931i | ||||
\(263\) | 21.1985 | − | 12.2389i | 1.30715 | − | 0.754686i | 0.325534 | − | 0.945530i | \(-0.394456\pi\) |
0.981620 | + | 0.190844i | \(0.0611226\pi\) | |||||||
\(264\) | −0.869816 | − | 3.63202i | −0.0535335 | − | 0.223536i | ||||
\(265\) | 16.0733 | 0.987374 | ||||||||
\(266\) | 10.0638 | + | 2.20992i | 0.617053 | + | 0.135499i | ||||
\(267\) | −4.29152 | + | 14.4581i | −0.262637 | + | 0.884823i | ||||
\(268\) | 12.3495 | − | 7.12999i | 0.754366 | − | 0.435533i | ||||
\(269\) | 11.0410 | 0.673182 | 0.336591 | − | 0.941651i | \(-0.390726\pi\) | ||||
0.336591 | + | 0.941651i | \(0.390726\pi\) | |||||||
\(270\) | −10.1922 | − | 3.62859i | −0.620280 | − | 0.220829i | ||||
\(271\) | 14.2522 | 0.865757 | 0.432879 | − | 0.901452i | \(-0.357498\pi\) | ||||
0.432879 | + | 0.901452i | \(0.357498\pi\) | |||||||
\(272\) | −0.557271 | −0.0337895 | ||||||||
\(273\) | −16.5086 | − | 0.683649i | −0.999144 | − | 0.0413763i | ||||
\(274\) | 12.8200 | 0.774483 | ||||||||
\(275\) | −1.43363 | −0.0864512 | ||||||||
\(276\) | −1.02301 | + | 3.44650i | −0.0615777 | + | 0.207455i | ||||
\(277\) | −9.76756 | −0.586876 | −0.293438 | − | 0.955978i | \(-0.594799\pi\) | ||||
−0.293438 | + | 0.955978i | \(0.594799\pi\) | |||||||
\(278\) | 3.54239 | − | 2.04520i | 0.212459 | − | 0.122663i | ||||
\(279\) | 17.2103 | − | 8.74474i | 1.03035 | − | 0.523534i | ||||
\(280\) | 4.06891 | + | 3.71347i | 0.243164 | + | 0.221922i | ||||
\(281\) | 0.791501 | 0.0472170 | 0.0236085 | − | 0.999721i | \(-0.492484\pi\) | ||||
0.0236085 | + | 0.999721i | \(0.492484\pi\) | |||||||
\(282\) | 0.986137 | − | 0.236165i | 0.0587236 | − | 0.0140634i | ||||
\(283\) | 10.1855 | − | 5.88059i | 0.605464 | − | 0.349565i | −0.165724 | − | 0.986172i | \(-0.552996\pi\) |
0.771188 | + | 0.636607i | \(0.219663\pi\) | |||||||
\(284\) | −6.52888 | − | 11.3084i | −0.387418 | − | 0.671028i | ||||
\(285\) | 3.99637 | − | 13.4638i | 0.236725 | − | 0.797524i | ||||
\(286\) | −6.95485 | + | 3.47451i | −0.411249 | + | 0.205452i | ||||
\(287\) | −0.349157 | + | 1.59004i | −0.0206101 | + | 0.0938570i | ||||
\(288\) | −2.51418 | − | 1.63674i | −0.148149 | − | 0.0964459i | ||||
\(289\) | −16.6894 | −0.981732 | ||||||||
\(290\) | 14.6771 | 0.861866 | ||||||||
\(291\) | 1.32903 | + | 5.54952i | 0.0779090 | + | 0.325319i | ||||
\(292\) | 0.198890 | − | 0.344488i | 0.0116392 | − | 0.0201596i | ||||
\(293\) | 6.68038 | − | 3.85692i | 0.390272 | − | 0.225324i | −0.292006 | − | 0.956416i | \(-0.594323\pi\) |
0.682278 | + | 0.731093i | \(0.260989\pi\) | |||||||
\(294\) | 11.4845 | − | 3.88678i | 0.669788 | − | 0.226681i | ||||
\(295\) | 1.62989 | + | 2.82305i | 0.0948959 | + | 0.164364i | ||||
\(296\) | − | 8.31631i | − | 0.483376i | ||||||
\(297\) | −3.75781 | + | 10.5552i | −0.218050 | + | 0.612475i | ||||
\(298\) | −0.573527 | + | 0.993378i | −0.0332235 | + | 0.0575449i | ||||
\(299\) | 7.47025 | + | 0.450903i | 0.432016 | + | 0.0260764i | ||||
\(300\) | −0.835783 | + | 0.792237i | −0.0482539 | + | 0.0457398i | ||||
\(301\) | 15.4584 | − | 16.9380i | 0.891007 | − | 0.976289i | ||||
\(302\) | 4.15879 | + | 2.40108i | 0.239312 | + | 0.138167i | ||||
\(303\) | −6.41023 | − | 26.7667i | −0.368258 | − | 1.53771i | ||||
\(304\) | 1.94720 | − | 3.37265i | 0.111680 | − | 0.193435i | ||||
\(305\) | −17.0778 | −0.977873 | ||||||||
\(306\) | 1.40108 | + | 0.912108i | 0.0800942 | + | 0.0521417i | ||||
\(307\) | 22.5567 | 1.28738 | 0.643689 | − | 0.765287i | \(-0.277403\pi\) | ||||
0.643689 | + | 0.765287i | \(0.277403\pi\) | |||||||
\(308\) | 3.84572 | − | 4.21381i | 0.219130 | − | 0.240104i | ||||
\(309\) | −4.51353 | + | 1.08092i | −0.256766 | + | 0.0614916i | ||||
\(310\) | 13.3979i | 0.760952i | ||||||||
\(311\) | −6.64375 | + | 11.5073i | −0.376733 | + | 0.652520i | −0.990585 | − | 0.136901i | \(-0.956286\pi\) |
0.613852 | + | 0.789421i | \(0.289619\pi\) | |||||||
\(312\) | −2.13451 | + | 5.86889i | −0.120843 | + | 0.332260i | ||||
\(313\) | 14.7574 | − | 8.52018i | 0.834137 | − | 0.481589i | −0.0211303 | − | 0.999777i | \(-0.506726\pi\) |
0.855267 | + | 0.518188i | \(0.173393\pi\) | |||||||
\(314\) | 6.04701 | + | 3.49124i | 0.341252 | + | 0.197022i | ||||
\(315\) | −4.15195 | − | 15.9961i | −0.233936 | − | 0.901276i | ||||
\(316\) | 5.73441 | + | 9.93228i | 0.322585 | + | 0.558734i | ||||
\(317\) | 7.60593 | + | 13.1739i | 0.427192 | + | 0.739918i | 0.996622 | − | 0.0821217i | \(-0.0261696\pi\) |
−0.569431 | + | 0.822039i | \(0.692836\pi\) | |||||||
\(318\) | −9.19856 | − | 9.70416i | −0.515829 | − | 0.544182i | ||||
\(319\) | − | 15.1997i | − | 0.851022i | ||||||
\(320\) | 1.80315 | − | 1.04105i | 0.100799 | − | 0.0581964i | ||||
\(321\) | −6.76242 | + | 22.7826i | −0.377441 | + | 1.27160i | ||||
\(322\) | −5.23415 | + | 1.66187i | −0.291688 | + | 0.0926126i | ||||
\(323\) | −1.08512 | + | 1.87948i | −0.0603775 | + | 0.104577i | ||||
\(324\) | 3.64216 | + | 8.23011i | 0.202342 | + | 0.457228i | ||||
\(325\) | 2.00008 | + | 1.32152i | 0.110944 | + | 0.0733050i | ||||
\(326\) | 17.0431 | + | 9.83983i | 0.943929 | + | 0.544978i | ||||
\(327\) | −3.46608 | − | 3.65660i | −0.191675 | − | 0.202210i | ||||
\(328\) | 0.532863 | + | 0.307649i | 0.0294224 | + | 0.0169871i | ||||
\(329\) | 1.14410 | + | 1.04416i | 0.0630762 | + | 0.0575663i | ||||
\(330\) | −5.34952 | − | 5.64356i | −0.294481 | − | 0.310668i | ||||
\(331\) | −9.89667 | − | 5.71384i | −0.543970 | − | 0.314061i | 0.202716 | − | 0.979238i | \(-0.435023\pi\) |
−0.746686 | + | 0.665176i | \(0.768356\pi\) | |||||||
\(332\) | 12.4455i | 0.683035i | ||||||||
\(333\) | −13.6116 | + | 20.9087i | −0.745913 | + | 1.14579i | ||||
\(334\) | 11.1356 | + | 6.42913i | 0.609312 | + | 0.351787i | ||||
\(335\) | 14.8453 | − | 25.7129i | 0.811087 | − | 1.40484i | ||||
\(336\) | −0.0865985 | − | 4.58176i | −0.00472434 | − | 0.249955i | ||||
\(337\) | 0.692991 | 0.0377496 | 0.0188748 | − | 0.999822i | \(-0.493992\pi\) | ||||
0.0188748 | + | 0.999822i | \(0.493992\pi\) | |||||||
\(338\) | 12.9056 | + | 1.56366i | 0.701973 | + | 0.0850517i | ||||
\(339\) | −33.6277 | + | 8.05333i | −1.82640 | + | 0.437397i | ||||
\(340\) | −1.00484 | + | 0.580146i | −0.0544952 | + | 0.0314628i | ||||
\(341\) | 13.8751 | 0.751377 | ||||||||
\(342\) | −10.4157 | + | 5.29237i | −0.563219 | + | 0.286179i | ||||
\(343\) | 14.7607 | + | 11.1858i | 0.797003 | + | 0.603975i | ||||
\(344\) | −4.33366 | − | 7.50612i | −0.233655 | − | 0.404703i | ||||
\(345\) | 1.74335 | + | 7.27955i | 0.0938585 | + | 0.391918i | ||||
\(346\) | −2.21541 | + | 3.83719i | −0.119101 | + | 0.206289i | ||||
\(347\) | − | 14.8415i | − | 0.796733i | −0.917226 | − | 0.398366i | \(-0.869577\pi\) | ||
0.917226 | − | 0.398366i | \(-0.130423\pi\) | |||||||
\(348\) | −8.39951 | − | 8.86119i | −0.450261 | − | 0.475010i | ||||
\(349\) | −9.35756 | + | 16.2078i | −0.500899 | + | 0.867582i | 0.499101 | + | 0.866544i | \(0.333664\pi\) |
−0.999999 | + | 0.00103797i | \(0.999670\pi\) | |||||||
\(350\) | −1.71815 | − | 0.377290i | −0.0918392 | − | 0.0201670i | ||||
\(351\) | 14.9724 | − | 11.2618i | 0.799167 | − | 0.601109i | ||||
\(352\) | −1.07812 | − | 1.86736i | −0.0574641 | − | 0.0995308i | ||||
\(353\) | 21.1090 | − | 12.1873i | 1.12352 | − | 0.648664i | 0.181222 | − | 0.983442i | \(-0.441995\pi\) |
0.942297 | + | 0.334778i | \(0.108661\pi\) | |||||||
\(354\) | 0.771635 | − | 2.59964i | 0.0410120 | − | 0.138169i | ||||
\(355\) | −23.5451 | − | 13.5938i | −1.24964 | − | 0.721482i | ||||
\(356\) | 8.70736i | 0.461489i | ||||||||
\(357\) | 0.0482588 | + | 2.55328i | 0.00255413 | + | 0.135134i | ||||
\(358\) | −19.6844 | + | 11.3648i | −1.04035 | + | 0.600647i | ||||
\(359\) | 2.79005 | + | 4.83250i | 0.147253 | + | 0.255050i | 0.930211 | − | 0.367025i | \(-0.119623\pi\) |
−0.782958 | + | 0.622074i | \(0.786290\pi\) | |||||||
\(360\) | −6.23736 | − | 0.333908i | −0.328738 | − | 0.0175985i | ||||
\(361\) | 1.91683 | + | 3.32005i | 0.100886 | + | 0.174740i | ||||
\(362\) | − | 10.2663i | − | 0.539586i | ||||||
\(363\) | 7.98306 | − | 7.56713i | 0.419002 | − | 0.397171i | ||||
\(364\) | −9.24952 | + | 2.33375i | −0.484806 | + | 0.122322i | ||||
\(365\) | − | 0.828216i | − | 0.0433508i | ||||||
\(366\) | 9.77343 | + | 10.3106i | 0.510866 | + | 0.538946i | ||||
\(367\) | 28.5675 | − | 16.4934i | 1.49121 | − | 0.860951i | 0.491261 | − | 0.871013i | \(-0.336536\pi\) |
0.999949 | + | 0.0100621i | \(0.00320291\pi\) | |||||||
\(368\) | 2.07565i | 0.108201i | ||||||||
\(369\) | −0.836170 | − | 1.64564i | −0.0435293 | − | 0.0856687i | ||||
\(370\) | −8.65768 | − | 14.9955i | −0.450091 | − | 0.779581i | ||||
\(371\) | 4.38067 | − | 19.9493i | 0.227433 | − | 1.03571i | ||||
\(372\) | 8.08894 | − | 7.66749i | 0.419392 | − | 0.397541i | ||||
\(373\) | −9.62708 | + | 16.6746i | −0.498471 | + | 0.863378i | −0.999998 | − | 0.00176408i | \(-0.999438\pi\) |
0.501527 | + | 0.865142i | \(0.332772\pi\) | |||||||
\(374\) | 0.600806 | + | 1.04063i | 0.0310669 | + | 0.0538095i | ||||
\(375\) | −5.81321 | + | 19.5847i | −0.300193 | + | 1.01135i | ||||
\(376\) | 0.507011 | − | 0.292723i | 0.0261471 | − | 0.0150960i | ||||
\(377\) | −14.0112 | + | 21.2054i | −0.721611 | + | 1.09213i | ||||
\(378\) | −7.28142 | + | 11.6611i | −0.374516 | + | 0.599781i | ||||
\(379\) | 10.8971 | + | 6.29144i | 0.559746 | + | 0.323169i | 0.753043 | − | 0.657971i | \(-0.228585\pi\) |
−0.193298 | + | 0.981140i | \(0.561918\pi\) | |||||||
\(380\) | − | 8.10851i | − | 0.415958i | ||||||
\(381\) | −18.4987 | + | 17.5349i | −0.947720 | + | 0.898342i | ||||
\(382\) | 3.37227 | + | 1.94698i | 0.172541 | + | 0.0996163i | ||||
\(383\) | −1.03501 | − | 0.597562i | −0.0528864 | − | 0.0305340i | 0.473324 | − | 0.880889i | \(-0.343054\pi\) |
−0.526210 | + | 0.850355i | \(0.676387\pi\) | |||||||
\(384\) | −1.66045 | − | 0.492861i | −0.0847344 | − | 0.0251512i | ||||
\(385\) | 2.54762 | − | 11.6017i | 0.129839 | − | 0.591278i | ||||
\(386\) | 3.11672 | − | 1.79944i | 0.158637 | − | 0.0915890i | ||||
\(387\) | −1.38999 | + | 25.9648i | −0.0706570 | + | 1.31986i | ||||
\(388\) | 1.64731 | + | 2.85322i | 0.0836294 | + | 0.144850i | ||||
\(389\) | 13.1871 | + | 7.61359i | 0.668614 | + | 0.386024i | 0.795551 | − | 0.605886i | \(-0.207181\pi\) |
−0.126937 | + | 0.991911i | \(0.540515\pi\) | |||||||
\(390\) | 2.26095 | + | 12.8046i | 0.114488 | + | 0.648387i | ||||
\(391\) | − | 1.15670i | − | 0.0584967i | ||||||
\(392\) | 5.71791 | − | 4.03801i | 0.288798 | − | 0.203950i | ||||
\(393\) | −2.27644 | − | 9.50557i | −0.114831 | − | 0.479493i | ||||
\(394\) | 5.48497 | − | 9.50024i | 0.276329 | − | 0.478615i | ||||
\(395\) | 20.6800 | + | 11.9396i | 1.04052 | + | 0.600746i | ||||
\(396\) | −0.345799 | + | 6.45949i | −0.0173771 | + | 0.324601i | ||||
\(397\) | −13.0144 | + | 22.5415i | −0.653172 | + | 1.13133i | 0.329177 | + | 0.944268i | \(0.393229\pi\) |
−0.982349 | + | 0.187058i | \(0.940105\pi\) | |||||||
\(398\) | − | 20.2743i | − | 1.01626i | ||||||
\(399\) | −15.6213 | − | 8.62953i | −0.782042 | − | 0.432017i | ||||
\(400\) | −0.332437 | + | 0.575798i | −0.0166218 | + | 0.0287899i | ||||
\(401\) | −36.6997 | −1.83269 | −0.916347 | − | 0.400385i | \(-0.868876\pi\) | ||||
−0.916347 | + | 0.400385i | \(0.868876\pi\) | |||||||
\(402\) | −24.0198 | + | 5.75239i | −1.19800 | + | 0.286903i | ||||
\(403\) | −19.3573 | − | 12.7901i | −0.964257 | − | 0.637119i | ||||
\(404\) | −7.94537 | − | 13.7618i | −0.395297 | − | 0.684675i | ||||
\(405\) | 15.1353 | + | 11.0484i | 0.752079 | + | 0.549001i | ||||
\(406\) | 4.00013 | − | 18.2163i | 0.198523 | − | 0.904061i | ||||
\(407\) | −15.5296 | + | 8.96600i | −0.769772 | + | 0.444428i | ||||
\(408\) | 0.925319 | + | 0.274657i | 0.0458101 | + | 0.0135976i | ||||
\(409\) | −29.3160 | −1.44958 | −0.724791 | − | 0.688969i | \(-0.758064\pi\) | ||||
−0.724791 | + | 0.688969i | \(0.758064\pi\) | |||||||
\(410\) | 1.28111 | 0.0632694 | ||||||||
\(411\) | −21.2869 | − | 6.31846i | −1.05001 | − | 0.311667i | ||||
\(412\) | −2.32058 | + | 1.33979i | −0.114327 | + | 0.0660065i | ||||
\(413\) | 3.94803 | − | 1.25352i | 0.194270 | − | 0.0616819i | ||||
\(414\) | 3.39729 | − | 5.21854i | 0.166968 | − | 0.256477i | ||||
\(415\) | 12.9564 | + | 22.4411i | 0.636003 | + | 1.10159i | ||||
\(416\) | −0.217235 | + | 3.59900i | −0.0106508 | + | 0.176456i | ||||
\(417\) | −6.88996 | + | 1.65004i | −0.337403 | + | 0.0808030i | ||||
\(418\) | −8.39727 | −0.410724 | ||||||||
\(419\) | −18.5356 | + | 32.1046i | −0.905523 | + | 1.56841i | −0.0853087 | + | 0.996355i | \(0.527188\pi\) |
−0.820214 | + | 0.572057i | \(0.806146\pi\) | |||||||
\(420\) | −4.92598 | − | 8.17144i | −0.240363 | − | 0.398725i | ||||
\(421\) | − | 15.9315i | − | 0.776451i | −0.921564 | − | 0.388226i | \(-0.873088\pi\) | ||
0.921564 | − | 0.388226i | \(-0.126912\pi\) | |||||||
\(422\) | −6.39897 | + | 11.0833i | −0.311497 | + | 0.539529i | ||||
\(423\) | −1.75383 | − | 0.0938885i | −0.0852739 | − | 0.00456502i | ||||
\(424\) | −6.68551 | − | 3.85988i | −0.324677 | − | 0.187452i | ||||
\(425\) | 0.185257 | − | 0.320875i | 0.00898630 | − | 0.0155647i | ||||
\(426\) | 5.26742 | + | 21.9948i | 0.255207 | + | 1.06565i | ||||
\(427\) | −4.65444 | + | 21.1960i | −0.225244 | + | 1.02575i | ||||
\(428\) | 13.7207i | 0.663217i | ||||||||
\(429\) | 13.2606 | − | 2.34147i | 0.640228 | − | 0.113047i | ||||
\(430\) | −15.6285 | − | 9.02310i | −0.753671 | − | 0.435132i | ||||
\(431\) | −14.0904 | − | 24.4053i | −0.678710 | − | 1.17556i | −0.975370 | − | 0.220576i | \(-0.929206\pi\) |
0.296660 | − | 0.954983i | \(-0.404127\pi\) | |||||||
\(432\) | 3.36797 | + | 3.95686i | 0.162042 | + | 0.190375i | ||||
\(433\) | 10.7990 | − | 6.23481i | 0.518967 | − | 0.299626i | −0.217545 | − | 0.976050i | \(-0.569805\pi\) |
0.736512 | + | 0.676425i | \(0.236472\pi\) | |||||||
\(434\) | 16.6288 | + | 3.65152i | 0.798206 | + | 0.175279i | ||||
\(435\) | −24.3705 | − | 7.23375i | −1.16848 | − | 0.346832i | ||||
\(436\) | −2.51915 | − | 1.45443i | −0.120645 | − | 0.0696546i | ||||
\(437\) | 7.00042 | + | 4.04170i | 0.334876 | + | 0.193341i | ||||
\(438\) | −0.500031 | + | 0.473979i | −0.0238924 | + | 0.0226476i | ||||
\(439\) | 36.4164i | 1.73806i | 0.494761 | + | 0.869029i | \(0.335256\pi\) | ||||
−0.494761 | + | 0.869029i | \(0.664744\pi\) | |||||||
\(440\) | −3.88803 | − | 2.24475i | −0.185355 | − | 0.107014i | ||||
\(441\) | −20.9850 | + | 0.793547i | −0.999286 | + | 0.0377879i | ||||
\(442\) | 0.121059 | − | 2.00562i | 0.00575817 | − | 0.0953975i | ||||
\(443\) | 11.6506 | − | 6.72648i | 0.553537 | − | 0.319585i | −0.197011 | − | 0.980401i | \(-0.563123\pi\) |
0.750547 | + | 0.660817i | \(0.229790\pi\) | |||||||
\(444\) | −4.09879 | + | 13.8088i | −0.194520 | + | 0.655337i | ||||
\(445\) | 9.06478 | + | 15.7007i | 0.429712 | + | 0.744283i | ||||
\(446\) | −6.84088 | + | 11.8488i | −0.323925 | + | 0.561055i | ||||
\(447\) | 1.44191 | − | 1.36678i | 0.0682000 | − | 0.0646467i | ||||
\(448\) | −0.800654 | − | 2.52170i | −0.0378274 | − | 0.119139i | ||||
\(449\) | −10.8390 | − | 18.7736i | −0.511522 | − | 0.885982i | −0.999911 | − | 0.0133556i | \(-0.995749\pi\) |
0.488389 | − | 0.872626i | \(-0.337585\pi\) | |||||||
\(450\) | 1.77824 | − | 0.903544i | 0.0838269 | − | 0.0425935i | ||||
\(451\) | − | 1.32673i | − | 0.0624733i | ||||||
\(452\) | −17.2893 | + | 9.98197i | −0.813219 | + | 0.469512i | ||||
\(453\) | −5.72206 | − | 6.03658i | −0.268846 | − | 0.283623i | ||||
\(454\) | 3.74358i | 0.175695i | ||||||||
\(455\) | −14.2487 | + | 13.8373i | −0.667990 | + | 0.648703i | ||||
\(456\) | −4.89547 | + | 4.64041i | −0.229251 | + | 0.217307i | ||||
\(457\) | − | 14.4590i | − | 0.676366i | −0.941080 | − | 0.338183i | \(-0.890188\pi\) | ||
0.941080 | − | 0.338183i | \(-0.109812\pi\) | |||||||
\(458\) | 4.38767 | + | 7.59967i | 0.205023 | + | 0.355109i | ||||
\(459\) | −1.87687 | − | 2.20504i | −0.0876049 | − | 0.102923i | ||||
\(460\) | 2.16085 | + | 3.74270i | 0.100750 | + | 0.174504i | ||||
\(461\) | 29.7738 | − | 17.1899i | 1.38670 | − | 0.800614i | 0.393762 | − | 0.919212i | \(-0.371173\pi\) |
0.992942 | + | 0.118598i | \(0.0378400\pi\) | |||||||
\(462\) | −8.46244 | + | 5.10141i | −0.393708 | + | 0.237339i | ||||
\(463\) | 3.55647i | 0.165283i | 0.996579 | + | 0.0826415i | \(0.0263357\pi\) | ||||
−0.996579 | + | 0.0826415i | \(0.973664\pi\) | |||||||
\(464\) | −6.10476 | − | 3.52458i | −0.283406 | − | 0.163625i | ||||
\(465\) | 6.60333 | − | 22.2466i | 0.306222 | − | 1.03166i | ||||
\(466\) | 19.0891 | − | 11.0211i | 0.884286 | − | 0.510543i | ||||
\(467\) | −0.408159 | − | 0.706953i | −0.0188874 | − | 0.0327139i | 0.856427 | − | 0.516268i | \(-0.172679\pi\) |
−0.875315 | + | 0.483554i | \(0.839346\pi\) | |||||||
\(468\) | 6.43680 | − | 8.69296i | 0.297541 | − | 0.401832i | ||||
\(469\) | −27.8673 | − | 25.4330i | −1.28679 | − | 1.17439i | ||||
\(470\) | 0.609477 | − | 1.05565i | 0.0281131 | − | 0.0486933i | ||||
\(471\) | −8.32004 | − | 8.77736i | −0.383367 | − | 0.404439i | ||||
\(472\) | − | 1.56562i | − | 0.0720637i | ||||||
\(473\) | −9.34443 | + | 16.1850i | −0.429657 | + | 0.744188i | ||||
\(474\) | −4.62645 | − | 19.3183i | −0.212500 | − | 0.887319i | ||||
\(475\) | 1.29464 | + | 2.24239i | 0.0594022 | + | 0.102888i | ||||
\(476\) | 0.446181 | + | 1.40527i | 0.0204507 | + | 0.0644103i | ||||
\(477\) | 10.4909 | + | 20.6469i | 0.480346 | + | 0.945355i | ||||
\(478\) | −12.3469 | −0.564735 | ||||||||
\(479\) | 32.0593 | − | 18.5095i | 1.46483 | − | 0.845719i | 0.465600 | − | 0.884995i | \(-0.345838\pi\) |
0.999228 | + | 0.0392758i | \(0.0125051\pi\) | |||||||
\(480\) | −3.50713 | + | 0.839905i | −0.160078 | + | 0.0383362i | ||||
\(481\) | 29.9304 | + | 1.80659i | 1.36471 | + | 0.0823735i | ||||
\(482\) | 1.22458 | 0.0557781 | ||||||||
\(483\) | 9.51011 | − | 0.179748i | 0.432725 | − | 0.00817881i | ||||
\(484\) | 3.17530 | − | 5.49979i | 0.144332 | − | 0.249990i | ||||
\(485\) | 5.94069 | + | 3.42986i | 0.269753 | + | 0.155742i | ||||
\(486\) | −1.99132 | − | 15.4607i | −0.0903280 | − | 0.701314i | ||||
\(487\) | 21.7586i | 0.985977i | 0.870036 | + | 0.492989i | \(0.164096\pi\) | ||||
−0.870036 | + | 0.492989i | \(0.835904\pi\) | |||||||
\(488\) | 7.10333 | + | 4.10111i | 0.321553 | + | 0.185649i | ||||
\(489\) | −23.4495 | − | 24.7384i | −1.06042 | − | 1.11871i | ||||
\(490\) | 6.10647 | − | 13.2338i | 0.275862 | − | 0.597840i | ||||
\(491\) | 25.7673 | + | 14.8768i | 1.16286 | + | 0.671379i | 0.951989 | − | 0.306134i | \(-0.0990354\pi\) |
0.210875 | + | 0.977513i | \(0.432369\pi\) | |||||||
\(492\) | −0.733163 | − | 0.773462i | −0.0330536 | − | 0.0348704i | ||||
\(493\) | 3.40200 | + | 1.96415i | 0.153219 | + | 0.0884608i | ||||
\(494\) | 11.7152 | + | 7.74063i | 0.527090 | + | 0.348267i | ||||
\(495\) | 6.10111 | + | 12.0074i | 0.274224 | + | 0.539693i | ||||
\(496\) | 3.21742 | − | 5.57273i | 0.144466 | − | 0.250223i | ||||
\(497\) | −23.2889 | + | 25.5179i | −1.04465 | + | 1.14464i | ||||
\(498\) | 6.13390 | − | 20.6651i | 0.274867 | − | 0.926025i | ||||
\(499\) | −9.70337 | + | 5.60224i | −0.434383 | + | 0.250791i | −0.701212 | − | 0.712953i | \(-0.747357\pi\) |
0.266829 | + | 0.963744i | \(0.414024\pi\) | |||||||
\(500\) | 11.7948i | 0.527480i | ||||||||
\(501\) | −15.3214 | − | 16.1635i | −0.684509 | − | 0.722134i | ||||
\(502\) | 6.93362 | + | 12.0094i | 0.309463 | + | 0.536005i | ||||
\(503\) | −13.0943 | − | 22.6800i | −0.583847 | − | 1.01125i | −0.995018 | − | 0.0996945i | \(-0.968213\pi\) |
0.411171 | − | 0.911558i | \(-0.365120\pi\) | |||||||
\(504\) | −2.11438 | + | 7.65045i | −0.0941819 | + | 0.340778i | ||||
\(505\) | −28.6534 | − | 16.5430i | −1.27506 | − | 0.736155i | ||||
\(506\) | 3.87598 | − | 2.23780i | 0.172309 | − | 0.0994824i | ||||
\(507\) | −20.6584 | − | 8.95705i | −0.917474 | − | 0.397796i | ||||
\(508\) | −7.35797 | + | 12.7444i | −0.326457 | + | 0.565441i | ||||
\(509\) | − | 10.3138i | − | 0.457151i | −0.973526 | − | 0.228576i | \(-0.926593\pi\) | ||
0.973526 | − | 0.228576i | \(-0.0734068\pi\) | |||||||
\(510\) | 1.95442 | − | 0.468054i | 0.0865431 | − | 0.0207258i | ||||
\(511\) | −1.02794 | − | 0.225725i | −0.0454732 | − | 0.00998548i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 19.9032 | − | 3.65419i | 0.878748 | − | 0.161336i | ||||
\(514\) | −10.6560 | −0.470016 | ||||||||
\(515\) | −2.78957 | + | 4.83167i | −0.122923 | + | 0.212909i | ||||
\(516\) | 3.49634 | + | 14.5994i | 0.153918 | + | 0.642703i | ||||
\(517\) | −1.09324 | − | 0.631182i | −0.0480806 | − | 0.0277594i | ||||
\(518\) | −20.9712 | + | 6.65849i | −0.921422 | + | 0.292557i | ||||
\(519\) | 5.56977 | − | 5.27958i | 0.244486 | − | 0.231748i | ||||
\(520\) | 3.35503 | + | 6.71569i | 0.147128 | + | 0.294502i | ||||
\(521\) | 17.8124 | − | 30.8520i | 0.780376 | − | 1.35165i | −0.151346 | − | 0.988481i | \(-0.548361\pi\) |
0.931723 | − | 0.363171i | \(-0.118306\pi\) | |||||||
\(522\) | 9.57961 | + | 18.8533i | 0.419288 | + | 0.825188i | ||||
\(523\) | 11.1120i | 0.485894i | 0.970040 | + | 0.242947i | \(0.0781141\pi\) | ||||
−0.970040 | + | 0.242947i | \(0.921886\pi\) | |||||||
\(524\) | −2.82161 | − | 4.88718i | −0.123263 | − | 0.213497i | ||||
\(525\) | 2.66695 | + | 1.47328i | 0.116395 | + | 0.0642993i | ||||
\(526\) | −21.1985 | + | 12.2389i | −0.924298 | + | 0.533644i | ||||
\(527\) | −1.79297 | + | 3.10552i | −0.0781031 | + | 0.135279i | ||||
\(528\) | 0.869816 | + | 3.63202i | 0.0378539 | + | 0.158064i | ||||
\(529\) | 18.6917 | 0.812682 | ||||||||
\(530\) | −16.0733 | −0.698179 | ||||||||
\(531\) | −2.56252 | + | 3.93625i | −0.111204 | + | 0.170819i | ||||
\(532\) | −10.0638 | − | 2.20992i | −0.436322 | − | 0.0958122i | ||||
\(533\) | −1.22298 | + | 1.85094i | −0.0529733 | + | 0.0801732i | ||||
\(534\) | 4.29152 | − | 14.4581i | 0.185712 | − | 0.625664i | ||||
\(535\) | 14.2840 | + | 24.7405i | 0.617549 | + | 1.06963i | ||||
\(536\) | −12.3495 | + | 7.12999i | −0.533417 | + | 0.307969i | ||||
\(537\) | 38.2861 | − | 9.16896i | 1.65217 | − | 0.395670i | ||||
\(538\) | −11.0410 | −0.476012 | ||||||||
\(539\) | −13.7050 | − | 6.32393i | −0.590318 | − | 0.272391i | ||||
\(540\) | 10.1922 | + | 3.62859i | 0.438604 | + | 0.156150i | ||||
\(541\) | 14.2432 | − | 8.22331i | 0.612363 | − | 0.353548i | −0.161527 | − | 0.986868i | \(-0.551642\pi\) |
0.773890 | + | 0.633320i | \(0.218308\pi\) | |||||||
\(542\) | −14.2522 | −0.612183 | ||||||||
\(543\) | −5.05987 | + | 17.0467i | −0.217140 | + | 0.731544i | ||||
\(544\) | 0.557271 | 0.0238928 | ||||||||
\(545\) | −6.05653 | −0.259433 | ||||||||
\(546\) | 16.5086 | + | 0.683649i | 0.706501 | + | 0.0292575i | ||||
\(547\) | 38.7499 | 1.65683 | 0.828414 | − | 0.560116i | \(-0.189243\pi\) | ||||
0.828414 | + | 0.560116i | \(0.189243\pi\) | |||||||
\(548\) | −12.8200 | −0.547642 | ||||||||
\(549\) | −11.1466 | − | 21.9372i | −0.475724 | − | 0.936258i | ||||
\(550\) | 1.43363 | 0.0611302 | ||||||||
\(551\) | −23.7744 | + | 13.7261i | −1.01282 | + | 0.584753i | ||||
\(552\) | 1.02301 | − | 3.44650i | 0.0435420 | − | 0.146693i | ||||
\(553\) | 20.4549 | − | 22.4128i | 0.869832 | − | 0.953087i | ||||
\(554\) | 9.76756 | 0.414984 | ||||||||
\(555\) | 6.98491 | + | 29.1664i | 0.296493 | + | 1.23804i | ||||
\(556\) | −3.54239 | + | 2.04520i | −0.150231 | + | 0.0867359i | ||||
\(557\) | −13.1455 | − | 22.7686i | −0.556992 | − | 0.964738i | −0.997746 | − | 0.0671098i | \(-0.978622\pi\) |
0.440754 | − | 0.897628i | \(-0.354711\pi\) | |||||||
\(558\) | −17.2103 | + | 8.74474i | −0.728569 | + | 0.370195i | ||||
\(559\) | 27.9559 | − | 13.9663i | 1.18241 | − | 0.590710i | ||||
\(560\) | −4.06891 | − | 3.71347i | −0.171943 | − | 0.156923i | ||||
\(561\) | −0.484723 | − | 2.02402i | −0.0204650 | − | 0.0854542i | ||||
\(562\) | −0.791501 | −0.0333875 | ||||||||
\(563\) | 18.8788 | 0.795646 | 0.397823 | − | 0.917462i | \(-0.369766\pi\) | ||||
0.397823 | + | 0.917462i | \(0.369766\pi\) | |||||||
\(564\) | −0.986137 | + | 0.236165i | −0.0415239 | + | 0.00994435i | ||||
\(565\) | −20.7834 | + | 35.9979i | −0.874365 | + | 1.51445i | ||||
\(566\) | −10.1855 | + | 5.88059i | −0.428128 | + | 0.247180i | ||||
\(567\) | 17.8377 | − | 15.7739i | 0.749114 | − | 0.662441i | ||||
\(568\) | 6.52888 | + | 11.3084i | 0.273946 | + | 0.474488i | ||||
\(569\) | − | 41.9057i | − | 1.75678i | −0.477947 | − | 0.878388i | \(-0.658619\pi\) | ||
0.477947 | − | 0.878388i | \(-0.341381\pi\) | |||||||
\(570\) | −3.99637 | + | 13.4638i | −0.167390 | + | 0.563935i | ||||
\(571\) | 3.92765 | − | 6.80288i | 0.164367 | − | 0.284692i | −0.772063 | − | 0.635546i | \(-0.780775\pi\) |
0.936430 | + | 0.350854i | \(0.114109\pi\) | |||||||
\(572\) | 6.95485 | − | 3.47451i | 0.290797 | − | 0.145276i | ||||
\(573\) | −4.63989 | − | 4.89493i | −0.193834 | − | 0.204488i | ||||
\(574\) | 0.349157 | − | 1.59004i | 0.0145736 | − | 0.0663669i | ||||
\(575\) | −1.19515 | − | 0.690021i | −0.0498413 | − | 0.0287759i | ||||
\(576\) | 2.51418 | + | 1.63674i | 0.104757 | + | 0.0681975i | ||||
\(577\) | −11.6409 | + | 20.1626i | −0.484617 | + | 0.839381i | −0.999844 | − | 0.0176727i | \(-0.994374\pi\) |
0.515227 | + | 0.857054i | \(0.327708\pi\) | |||||||
\(578\) | 16.6894 | 0.694190 | ||||||||
\(579\) | −6.06202 | + | 1.45176i | −0.251929 | + | 0.0603333i | ||||
\(580\) | −14.6771 | −0.609431 | ||||||||
\(581\) | 31.3838 | − | 9.96454i | 1.30202 | − | 0.413399i | ||||
\(582\) | −1.32903 | − | 5.54952i | −0.0550900 | − | 0.230035i | ||||
\(583\) | 16.6457i | 0.689394i | ||||||||
\(584\) | −0.198890 | + | 0.344488i | −0.00823013 | + | 0.0142550i | ||||
\(585\) | 2.55671 | − | 22.3757i | 0.105707 | − | 0.925122i | ||||
\(586\) | −6.68038 | + | 3.85692i | −0.275964 | + | 0.159328i | ||||
\(587\) | −20.2618 | − | 11.6981i | −0.836294 | − | 0.482834i | 0.0197091 | − | 0.999806i | \(-0.493726\pi\) |
−0.856003 | + | 0.516971i | \(0.827059\pi\) | |||||||
\(588\) | −11.4845 | + | 3.88678i | −0.473611 | + | 0.160288i | ||||
\(589\) | −12.5299 | − | 21.7024i | −0.516286 | − | 0.894233i | ||||
\(590\) | −1.62989 | − | 2.82305i | −0.0671015 | − | 0.116223i | ||||
\(591\) | −13.7898 | + | 13.0713i | −0.567237 | + | 0.537683i | ||||
\(592\) | 8.31631i | 0.341798i | ||||||||
\(593\) | 4.32543 | − | 2.49729i | 0.177624 | − | 0.102551i | −0.408552 | − | 0.912735i | \(-0.633966\pi\) |
0.586176 | + | 0.810184i | \(0.300633\pi\) | |||||||
\(594\) | 3.75781 | − | 10.5552i | 0.154185 | − | 0.433085i | ||||
\(595\) | 2.26748 | + | 2.06941i | 0.0929577 | + | 0.0848375i | ||||
\(596\) | 0.573527 | − | 0.993378i | 0.0234926 | − | 0.0406904i | ||||
\(597\) | −9.99240 | + | 33.6644i | −0.408962 | + | 1.37779i | ||||
\(598\) | −7.47025 | − | 0.450903i | −0.305481 | − | 0.0184388i | ||||
\(599\) | 7.43793 | + | 4.29429i | 0.303905 | + | 0.175460i | 0.644196 | − | 0.764860i | \(-0.277192\pi\) |
−0.340291 | + | 0.940320i | \(0.610525\pi\) | |||||||
\(600\) | 0.835783 | − | 0.792237i | 0.0341207 | − | 0.0323429i | ||||
\(601\) | 42.0105 | + | 24.2548i | 1.71364 | + | 0.989373i | 0.929523 | + | 0.368765i | \(0.120219\pi\) |
0.784121 | + | 0.620608i | \(0.213114\pi\) | |||||||
\(602\) | −15.4584 | + | 16.9380i | −0.630037 | + | 0.690340i | ||||
\(603\) | 42.7188 | + | 2.28689i | 1.73964 | + | 0.0931292i | ||||
\(604\) | −4.15879 | − | 2.40108i | −0.169219 | − | 0.0976986i | ||||
\(605\) | − | 13.2226i | − | 0.537574i | ||||||
\(606\) | 6.41023 | + | 26.7667i | 0.260398 | + | 1.08732i | ||||
\(607\) | −7.02087 | − | 4.05350i | −0.284968 | − | 0.164527i | 0.350702 | − | 0.936487i | \(-0.385943\pi\) |
−0.635670 | + | 0.771961i | \(0.719276\pi\) | |||||||
\(608\) | −1.94720 | + | 3.37265i | −0.0789693 | + | 0.136779i | ||||
\(609\) | −15.6201 | + | 28.2758i | −0.632960 | + | 1.14579i | ||||
\(610\) | 17.0778 | 0.691460 | ||||||||
\(611\) | 0.943369 | + | 1.88832i | 0.0381646 | + | 0.0763933i | ||||
\(612\) | −1.40108 | − | 0.912108i | −0.0566352 | − | 0.0368698i | ||||
\(613\) | −0.439299 | + | 0.253629i | −0.0177431 | + | 0.0102440i | −0.508845 | − | 0.860858i | \(-0.669927\pi\) |
0.491102 | + | 0.871102i | \(0.336594\pi\) | |||||||
\(614\) | −22.5567 | −0.910314 | ||||||||
\(615\) | −2.12721 | − | 0.631408i | −0.0857775 | − | 0.0254608i | ||||
\(616\) | −3.84572 | + | 4.21381i | −0.154948 | + | 0.169779i | ||||
\(617\) | 14.0828 | + | 24.3922i | 0.566954 | + | 0.981993i | 0.996865 | + | 0.0791221i | \(0.0252117\pi\) |
−0.429911 | + | 0.902871i | \(0.641455\pi\) | |||||||
\(618\) | 4.51353 | − | 1.08092i | 0.181561 | − | 0.0434811i | ||||
\(619\) | 12.3365 | − | 21.3674i | 0.495846 | − | 0.858830i | −0.504143 | − | 0.863620i | \(-0.668191\pi\) |
0.999989 | + | 0.00479018i | \(0.00152477\pi\) | |||||||
\(620\) | − | 13.3979i | − | 0.538074i | ||||||
\(621\) | −8.21305 | + | 6.99072i | −0.329578 | + | 0.280528i | ||||
\(622\) | 6.64375 | − | 11.5073i | 0.266390 | − | 0.461401i | ||||
\(623\) | 21.9573 | − | 6.97158i | 0.879702 | − | 0.279311i | ||||
\(624\) | 2.13451 | − | 5.86889i | 0.0854490 | − | 0.234944i | ||||
\(625\) | 10.6168 | + | 18.3888i | 0.424671 | + | 0.735553i | ||||
\(626\) | −14.7574 | + | 8.52018i | −0.589824 | + | 0.340535i | ||||
\(627\) | 13.9432 | + | 4.13869i | 0.556839 | + | 0.165283i | ||||
\(628\) | −6.04701 | − | 3.49124i | −0.241302 | − | 0.139316i | ||||
\(629\) | − | 4.63444i | − | 0.184787i | ||||||
\(630\) | 4.15195 | + | 15.9961i | 0.165418 | + | 0.637299i | ||||
\(631\) | 35.8457 | − | 20.6955i | 1.42699 | − | 0.823875i | 0.430111 | − | 0.902776i | \(-0.358474\pi\) |
0.996882 | + | 0.0789008i | \(0.0251410\pi\) | |||||||
\(632\) | −5.73441 | − | 9.93228i | −0.228102 | − | 0.395085i | ||||
\(633\) | 16.0877 | − | 15.2495i | 0.639429 | − | 0.606114i | ||||
\(634\) | −7.60593 | − | 13.1739i | −0.302070 | − | 0.523201i | ||||
\(635\) | 30.6400i | 1.21591i | ||||||||
\(636\) | 9.19856 | + | 9.70416i | 0.364746 | + | 0.384795i | ||||
\(637\) | 13.2907 | + | 21.4559i | 0.526596 | + | 0.850116i | ||||
\(638\) | 15.1997i | 0.601763i | ||||||||
\(639\) | 2.09409 | − | 39.1173i | 0.0828408 | − | 1.54746i | ||||
\(640\) | −1.80315 | + | 1.04105i | −0.0712757 | + | 0.0411510i | ||||
\(641\) | − | 26.7161i | − | 1.05522i | −0.849486 | − | 0.527612i | \(-0.823088\pi\) | ||
0.849486 | − | 0.527612i | \(-0.176912\pi\) | |||||||
\(642\) | 6.76242 | − | 22.7826i | 0.266891 | − | 0.899156i | ||||
\(643\) | −22.0044 | − | 38.1127i | −0.867769 | − | 1.50302i | −0.864272 | − | 0.503025i | \(-0.832220\pi\) |
−0.00349687 | − | 0.999994i | \(-0.501113\pi\) | |||||||
\(644\) | 5.23415 | − | 1.66187i | 0.206254 | − | 0.0654870i | ||||
\(645\) | 21.5031 | + | 22.6850i | 0.846684 | + | 0.893223i | ||||
\(646\) | 1.08512 | − | 1.87948i | 0.0426934 | − | 0.0739471i | ||||
\(647\) | −7.77334 | − | 13.4638i | −0.305601 | − | 0.529317i | 0.671794 | − | 0.740738i | \(-0.265524\pi\) |
−0.977395 | + | 0.211421i | \(0.932191\pi\) | |||||||
\(648\) | −3.64216 | − | 8.23011i | −0.143078 | − | 0.323309i | ||||
\(649\) | −2.92359 | + | 1.68793i | −0.114761 | + | 0.0662572i | ||||
\(650\) | −2.00008 | − | 1.32152i | −0.0784496 | − | 0.0518344i | ||||
\(651\) | −25.8115 | − | 14.2588i | −1.01163 | − | 0.558848i | ||||
\(652\) | −17.0431 | − | 9.83983i | −0.667459 | − | 0.385358i | ||||
\(653\) | − | 27.8448i | − | 1.08965i | −0.838549 | − | 0.544826i | \(-0.816596\pi\) | ||
0.838549 | − | 0.544826i | \(-0.183404\pi\) | |||||||
\(654\) | 3.46608 | + | 3.65660i | 0.135535 | + | 0.142984i | ||||
\(655\) | −10.1756 | − | 5.87487i | −0.397593 | − | 0.229550i | ||||
\(656\) | −0.532863 | − | 0.307649i | −0.0208048 | − | 0.0120117i | ||||
\(657\) | 1.06388 | − | 0.540571i | 0.0415060 | − | 0.0210897i | ||||
\(658\) | −1.14410 | − | 1.04416i | −0.0446016 | − | 0.0407055i | ||||
\(659\) | −37.5062 | + | 21.6542i | −1.46103 | + | 0.843528i | −0.999059 | − | 0.0433655i | \(-0.986192\pi\) |
−0.461974 | + | 0.886893i | \(0.652859\pi\) | |||||||
\(660\) | 5.34952 | + | 5.64356i | 0.208230 | + | 0.219675i | ||||
\(661\) | 9.67024 | + | 16.7493i | 0.376129 | + | 0.651474i | 0.990495 | − | 0.137547i | \(-0.0439218\pi\) |
−0.614367 | + | 0.789021i | \(0.710588\pi\) | |||||||
\(662\) | 9.89667 | + | 5.71384i | 0.384645 | + | 0.222075i | ||||
\(663\) | −1.18950 | + | 3.27056i | −0.0461965 | + | 0.127018i | ||||
\(664\) | − | 12.4455i | − | 0.482979i | ||||||
\(665\) | −20.4472 | + | 6.49211i | −0.792909 | + | 0.251753i | ||||
\(666\) | 13.6116 | − | 20.9087i | 0.527440 | − | 0.810194i | ||||
\(667\) | 7.31579 | − | 12.6713i | 0.283269 | − | 0.490635i | ||||
\(668\) | −11.1356 | − | 6.42913i | −0.430849 | − | 0.248751i | ||||
\(669\) | 17.1987 | − | 16.3026i | 0.664941 | − | 0.630296i | ||||
\(670\) | −14.8453 | + | 25.7129i | −0.573525 | + | 0.993374i | ||||
\(671\) | − | 17.6860i | − | 0.682760i | ||||||
\(672\) | 0.0865985 | + | 4.58176i | 0.00334061 | + | 0.176745i | ||||
\(673\) | 11.4777 | − | 19.8800i | 0.442434 | − | 0.766319i | −0.555435 | − | 0.831560i | \(-0.687448\pi\) |
0.997870 | + | 0.0652410i | \(0.0207816\pi\) | |||||||
\(674\) | −0.692991 | −0.0266930 | ||||||||
\(675\) | −3.39799 | + | 0.623864i | −0.130789 | + | 0.0240125i | ||||
\(676\) | −12.9056 | − | 1.56366i | −0.496370 | − | 0.0601407i | ||||
\(677\) | 1.50584 | + | 2.60819i | 0.0578740 | + | 0.100241i | 0.893511 | − | 0.449042i | \(-0.148234\pi\) |
−0.835637 | + | 0.549282i | \(0.814901\pi\) | |||||||
\(678\) | 33.6277 | − | 8.05333i | 1.29146 | − | 0.309286i | ||||
\(679\) | 5.87604 | − | 6.43846i | 0.225502 | − | 0.247085i | ||||
\(680\) | 1.00484 | − | 0.580146i | 0.0385339 | − | 0.0222476i | ||||
\(681\) | 1.84507 | − | 6.21602i | 0.0707031 | − | 0.238199i | ||||
\(682\) | −13.8751 | −0.531304 | ||||||||
\(683\) | −31.1190 | −1.19074 | −0.595368 | − | 0.803453i | \(-0.702994\pi\) | ||||
−0.595368 | + | 0.803453i | \(0.702994\pi\) | |||||||
\(684\) | 10.4157 | − | 5.29237i | 0.398256 | − | 0.202359i | ||||
\(685\) | −23.1163 | + | 13.3462i | −0.883229 | + | 0.509932i | ||||
\(686\) | −14.7607 | − | 11.1858i | −0.563566 | − | 0.427075i | ||||
\(687\) | −3.53992 | − | 14.7814i | −0.135056 | − | 0.563945i | ||||
\(688\) | 4.33366 | + | 7.50612i | 0.165219 | + | 0.286168i | ||||
\(689\) | 15.3440 | − | 23.2227i | 0.584561 | − | 0.884713i | ||||
\(690\) | −1.74335 | − | 7.27955i | −0.0663680 | − | 0.277128i | ||||
\(691\) | −46.8665 | −1.78288 | −0.891442 | − | 0.453134i | \(-0.850306\pi\) | ||||
−0.891442 | + | 0.453134i | \(0.850306\pi\) | |||||||
\(692\) | 2.21541 | − | 3.83719i | 0.0842171 | − | 0.145868i | ||||
\(693\) | 16.5657 | − | 4.29981i | 0.629280 | − | 0.163336i | ||||
\(694\) | 14.8415i | 0.563375i | ||||||||
\(695\) | −4.25831 | + | 7.37560i | −0.161527 | + | 0.279773i | ||||
\(696\) | 8.39951 | + | 8.86119i | 0.318382 | + | 0.335882i | ||||
\(697\) | 0.296949 | + | 0.171444i | 0.0112477 | + | 0.00649389i | ||||
\(698\) | 9.35756 | − | 16.2078i | 0.354189 | − | 0.613473i | ||||
\(699\) | −37.1284 | + | 8.89169i | −1.40432 | + | 0.336315i | ||||
\(700\) | 1.71815 | + | 0.377290i | 0.0649401 | + | 0.0142602i | ||||
\(701\) | 27.7719i | 1.04893i | 0.851433 | + | 0.524464i | \(0.175734\pi\) | ||||
−0.851433 | + | 0.524464i | \(0.824266\pi\) | |||||||
\(702\) | −14.9724 | + | 11.2618i | −0.565097 | + | 0.425048i | ||||
\(703\) | 28.0480 | + | 16.1935i | 1.05785 | + | 0.610750i | ||||
\(704\) | 1.07812 | + | 1.86736i | 0.0406333 | + | 0.0703789i | ||||
\(705\) | −1.53229 | + | 1.45246i | −0.0577094 | + | 0.0547027i | ||||
\(706\) | −21.1090 | + | 12.1873i | −0.794448 | + | 0.458675i | ||||
\(707\) | −28.3416 | + | 31.0543i | −1.06589 | + | 1.16792i | ||||
\(708\) | −0.771635 | + | 2.59964i | −0.0289998 | + | 0.0977004i | ||||
\(709\) | −27.8176 | − | 16.0605i | −1.04471 | − | 0.603165i | −0.123548 | − | 0.992339i | \(-0.539427\pi\) |
−0.921164 | + | 0.389174i | \(0.872761\pi\) | |||||||
\(710\) | 23.5451 | + | 13.5938i | 0.883632 | + | 0.510165i | ||||
\(711\) | −1.83926 | + | 34.3572i | −0.0689778 | + | 1.28850i | ||||
\(712\) | − | 8.70736i | − | 0.326322i | ||||||
\(713\) | 11.5670 | + | 6.67822i | 0.433188 | + | 0.250101i | ||||
\(714\) | −0.0482588 | − | 2.55328i | −0.00180604 | − | 0.0955541i | ||||
\(715\) | 8.92349 | − | 13.5054i | 0.333720 | − | 0.505073i | ||||
\(716\) | 19.6844 | − | 11.3648i | 0.735639 | − | 0.424722i | ||||
\(717\) | 20.5014 | + | 6.08532i | 0.765640 | + | 0.227260i | ||||
\(718\) | −2.79005 | − | 4.83250i | −0.104124 | − | 0.180347i | ||||
\(719\) | −18.5249 | + | 32.0860i | −0.690861 | + | 1.19661i | 0.280695 | + | 0.959797i | \(0.409435\pi\) |
−0.971556 | + | 0.236810i | \(0.923898\pi\) | |||||||
\(720\) | 6.23736 | + | 0.333908i | 0.232453 | + | 0.0124440i | ||||
\(721\) | 5.23652 | + | 4.77909i | 0.195018 | + | 0.177983i | ||||
\(722\) | −1.91683 | − | 3.32005i | −0.0713372 | − | 0.123560i | ||||
\(723\) | −2.03335 | − | 0.603548i | −0.0756211 | − | 0.0224462i | ||||
\(724\) | 10.2663i | 0.381545i | ||||||||
\(725\) | 4.05890 | − | 2.34340i | 0.150744 | − | 0.0870318i | ||||
\(726\) | −7.98306 | + | 7.56713i | −0.296279 | + | 0.280842i | ||||
\(727\) | 8.65396i | 0.320957i | 0.987039 | + | 0.160479i | \(0.0513038\pi\) | ||||
−0.987039 | + | 0.160479i | \(0.948696\pi\) | |||||||
\(728\) | 9.24952 | − | 2.33375i | 0.342810 | − | 0.0864947i | ||||
\(729\) | −4.31352 | + | 26.6532i | −0.159760 | + | 0.987156i | ||||
\(730\) | 0.828216i | 0.0306537i | ||||||||
\(731\) | −2.41502 | − | 4.18294i | −0.0893228 | − | 0.154712i | ||||
\(732\) | −9.77343 | − | 10.3106i | −0.361237 | − | 0.381092i | ||||
\(733\) | −11.2469 | − | 19.4802i | −0.415413 | − | 0.719516i | 0.580059 | − | 0.814574i | \(-0.303029\pi\) |
−0.995472 | + | 0.0950586i | \(0.969696\pi\) | |||||||
\(734\) | −28.5675 | + | 16.4934i | −1.05444 | + | 0.608784i | ||||
\(735\) | −16.6619 | + | 18.9643i | −0.614582 | + | 0.699510i | ||||
\(736\) | − | 2.07565i | − | 0.0765093i | ||||||
\(737\) | 26.6286 | + | 15.3740i | 0.980875 | + | 0.566309i | ||||
\(738\) | 0.836170 | + | 1.64564i | 0.0307799 | + | 0.0605769i | ||||
\(739\) | −19.7692 | + | 11.4138i | −0.727223 | + | 0.419862i | −0.817405 | − | 0.576063i | \(-0.804588\pi\) |
0.0901827 | + | 0.995925i | \(0.471255\pi\) | |||||||
\(740\) | 8.65768 | + | 14.9955i | 0.318263 | + | 0.551247i | ||||
\(741\) | −15.6374 | − | 18.6269i | −0.574453 | − | 0.684275i | ||||
\(742\) | −4.38067 | + | 19.9493i | −0.160819 | + | 0.732360i | ||||
\(743\) | 5.89495 | − | 10.2104i | 0.216265 | − | 0.374582i | −0.737398 | − | 0.675458i | \(-0.763946\pi\) |
0.953663 | + | 0.300877i | \(0.0972792\pi\) | |||||||
\(744\) | −8.08894 | + | 7.66749i | −0.296555 | + | 0.281104i | ||||
\(745\) | − | 2.38828i | − | 0.0874997i | ||||||
\(746\) | 9.62708 | − | 16.6746i | 0.352473 | − | 0.610500i | ||||
\(747\) | −20.3700 | + | 31.2902i | −0.745301 | + | 1.14485i | ||||
\(748\) | −0.600806 | − | 1.04063i | −0.0219676 | − | 0.0380491i | ||||
\(749\) | 34.5995 | − | 10.9856i | 1.26424 | − | 0.401404i | ||||
\(750\) | 5.81321 | − | 19.5847i | 0.212268 | − | 0.715131i | ||||
\(751\) | 4.14828 | 0.151373 | 0.0756864 | − | 0.997132i | \(-0.475885\pi\) | ||||
0.0756864 | + | 0.997132i | \(0.475885\pi\) | |||||||
\(752\) | −0.507011 | + | 0.292723i | −0.0184888 | + | 0.0106745i | ||||
\(753\) | −5.59396 | − | 23.3583i | −0.203855 | − | 0.851223i | ||||
\(754\) | 14.0112 | − | 21.2054i | 0.510256 | − | 0.772254i | ||||
\(755\) | −9.99856 | −0.363885 | ||||||||
\(756\) | 7.28142 | − | 11.6611i | 0.264823 | − | 0.424109i | ||||
\(757\) | 16.7609 | − | 29.0308i | 0.609186 | − | 1.05514i | −0.382189 | − | 0.924084i | \(-0.624830\pi\) |
0.991375 | − | 0.131057i | \(-0.0418372\pi\) | |||||||
\(758\) | −10.8971 | − | 6.29144i | −0.395800 | − | 0.228515i | ||||
\(759\) | −7.53880 | + | 1.80543i | −0.273641 | + | 0.0655329i | ||||
\(760\) | 8.10851i | 0.294127i | ||||||||
\(761\) | −6.12517 | − | 3.53637i | −0.222037 | − | 0.128193i | 0.384856 | − | 0.922977i | \(-0.374251\pi\) |
−0.606893 | + | 0.794783i | \(0.707584\pi\) | |||||||
\(762\) | 18.4987 | − | 17.5349i | 0.670139 | − | 0.635224i | ||||
\(763\) | −1.65067 | + | 7.51702i | −0.0597581 | + | 0.272134i | ||||
\(764\) | −3.37227 | − | 1.94698i | −0.122005 | − | 0.0704394i | ||||
\(765\) | −3.47590 | − | 0.186077i | −0.125671 | − | 0.00672763i | ||||
\(766\) | 1.03501 | + | 0.597562i | 0.0373964 | + | 0.0215908i | ||||
\(767\) | 5.63468 | + | 0.340108i | 0.203457 | + | 0.0122806i | ||||
\(768\) | 1.66045 | + | 0.492861i | 0.0599163 | + | 0.0177846i | ||||
\(769\) | −3.05595 | + | 5.29306i | −0.110200 | + | 0.190872i | −0.915851 | − | 0.401518i | \(-0.868483\pi\) |
0.805651 | + | 0.592391i | \(0.201816\pi\) | |||||||
\(770\) | −2.54762 | + | 11.6017i | −0.0918100 | + | 0.418096i | ||||
\(771\) | 17.6937 | + | 5.25193i | 0.637224 | + | 0.189144i | ||||
\(772\) | −3.11672 | + | 1.79944i | −0.112173 | + | 0.0647632i | ||||
\(773\) | 38.6084i | 1.38865i | 0.719662 | + | 0.694324i | \(0.244297\pi\) | ||||
−0.719662 | + | 0.694324i | \(0.755703\pi\) | |||||||
\(774\) | 1.38999 | − | 25.9648i | 0.0499620 | − | 0.933285i | ||||
\(775\) | 2.13918 | + | 3.70516i | 0.0768415 | + | 0.133093i | ||||
\(776\) | −1.64731 | − | 2.85322i | −0.0591349 | − | 0.102425i | ||||
\(777\) | 38.1033 | − | 0.720180i | 1.36695 | − | 0.0258363i | ||||
\(778\) | −13.1871 | − | 7.61359i | −0.472781 | − | 0.272960i | ||||
\(779\) | −2.07518 | + | 1.19811i | −0.0743511 | + | 0.0429266i | ||||
\(780\) | −2.26095 | − | 12.8046i | −0.0809549 | − | 0.458479i | ||||
\(781\) | 14.0779 | − | 24.3836i | 0.503746 | − | 0.872513i | ||||
\(782\) | 1.15670i | 0.0413634i | ||||||||
\(783\) | −6.61437 | − | 36.0264i | −0.236378 | − | 1.28748i | ||||
\(784\) | −5.71791 | + | 4.03801i | −0.204211 | + | 0.144215i | ||||
\(785\) | −14.5382 | −0.518891 | ||||||||
\(786\) | 2.27644 | + | 9.50557i | 0.0811980 | + | 0.339052i | ||||
\(787\) | 14.5438 | 0.518430 | 0.259215 | − | 0.965820i | \(-0.416536\pi\) | ||||
0.259215 | + | 0.965820i | \(0.416536\pi\) | |||||||
\(788\) | −5.48497 | + | 9.50024i | −0.195394 | + | 0.338432i | ||||
\(789\) | 41.2311 | − | 9.87423i | 1.46787 | − | 0.351532i | ||||
\(790\) | −20.6800 | − | 11.9396i | −0.735760 | − | 0.424791i | ||||
\(791\) | 39.0142 | + | 35.6062i | 1.38719 | + | 1.26601i | ||||
\(792\) | 0.345799 | − | 6.45949i | 0.0122874 | − | 0.229528i | ||||
\(793\) | −16.3030 | + | 24.6740i | −0.578936 | + | 0.876199i | ||||
\(794\) | 13.0144 | − | 22.5415i | 0.461862 | − | 0.799969i | ||||
\(795\) | 26.6889 | + | 7.92190i | 0.946556 | + | 0.280961i | ||||
\(796\) | 20.2743i | 0.718603i | ||||||||
\(797\) | 11.4623 | + | 19.8532i | 0.406014 | + | 0.703237i | 0.994439 | − | 0.105315i | \(-0.0335851\pi\) |
−0.588425 | + | 0.808552i | \(0.700252\pi\) | |||||||
\(798\) | 15.6213 | + | 8.62953i | 0.552987 | + | 0.305482i | ||||
\(799\) | 0.282542 | − | 0.163126i | 0.00999563 | − | 0.00577098i | ||||
\(800\) | 0.332437 | − | 0.575798i | 0.0117534 | − | 0.0203575i | ||||
\(801\) | −14.2517 | + | 21.8918i | −0.503559 | + | 0.773510i | ||||
\(802\) | 36.6997 | 1.29591 | ||||||||
\(803\) | 0.857711 | 0.0302680 | ||||||||
\(804\) | 24.0198 | − | 5.75239i | 0.847113 | − | 0.202871i | ||||
\(805\) | 7.70786 | − | 8.44561i | 0.271666 | − | 0.297669i | ||||
\(806\) | 19.3573 | + | 12.7901i | 0.681833 | + | 0.450511i | ||||
\(807\) | 18.3330 | + | 5.44168i | 0.645353 | + | 0.191556i | ||||
\(808\) | 7.94537 | + | 13.7618i | 0.279517 | + | 0.484138i | ||||
\(809\) | 31.0557 | − | 17.9300i | 1.09186 | − | 0.630386i | 0.157789 | − | 0.987473i | \(-0.449563\pi\) |
0.934071 | + | 0.357087i | \(0.116230\pi\) | |||||||
\(810\) | −15.1353 | − | 11.0484i | −0.531800 | − | 0.388203i | ||||
\(811\) | −48.6802 | −1.70939 | −0.854696 | − | 0.519129i | \(-0.826257\pi\) | ||||
−0.854696 | + | 0.519129i | \(0.826257\pi\) | |||||||
\(812\) | −4.00013 | + | 18.2163i | −0.140377 | + | 0.639268i | ||||
\(813\) | 23.6650 | + | 7.02434i | 0.829967 | + | 0.246354i | ||||
\(814\) | 15.5296 | − | 8.96600i | 0.544311 | − | 0.314258i | ||||
\(815\) | −40.9750 | −1.43529 | ||||||||
\(816\) | −0.925319 | − | 0.274657i | −0.0323926 | − | 0.00961492i | ||||
\(817\) | 33.7540 | 1.18090 | ||||||||
\(818\) | 29.3160 | 1.02501 | ||||||||
\(819\) | −27.0747 | − | 9.27159i | −0.946065 | − | 0.323976i | ||||
\(820\) | −1.28111 | −0.0447382 | ||||||||
\(821\) | −55.9450 | −1.95249 | −0.976246 | − | 0.216664i | \(-0.930483\pi\) | ||||
−0.976246 | + | 0.216664i | \(0.930483\pi\) | |||||||
\(822\) | 21.2869 | + | 6.31846i | 0.742466 | + | 0.220382i | ||||
\(823\) | 29.1511 | 1.01614 | 0.508071 | − | 0.861315i | \(-0.330359\pi\) | ||||
0.508071 | + | 0.861315i | \(0.330359\pi\) | |||||||
\(824\) | 2.32058 | − | 1.33979i | 0.0808412 | − | 0.0466737i | ||||
\(825\) | −2.38047 | − | 0.706581i | −0.0828773 | − | 0.0246000i | ||||
\(826\) | −3.94803 | + | 1.25352i | −0.137369 | + | 0.0436157i | ||||
\(827\) | −21.9052 | −0.761718 | −0.380859 | − | 0.924633i | \(-0.624372\pi\) | ||||
−0.380859 | + | 0.924633i | \(0.624372\pi\) | |||||||
\(828\) | −3.39729 | + | 5.21854i | −0.118064 | + | 0.181357i | ||||
\(829\) | −2.10680 | + | 1.21636i | −0.0731722 | + | 0.0422460i | −0.536140 | − | 0.844129i | \(-0.680118\pi\) |
0.462968 | + | 0.886375i | \(0.346785\pi\) | |||||||
\(830\) | −12.9564 | − | 22.4411i | −0.449722 | − | 0.778941i | ||||
\(831\) | −16.2185 | − | 4.81405i | −0.562615 | − | 0.166998i | ||||
\(832\) | 0.217235 | − | 3.59900i | 0.00753126 | − | 0.124773i | ||||
\(833\) | 3.18642 | − | 2.25027i | 0.110403 | − | 0.0779671i | ||||
\(834\) | 6.88996 | − | 1.65004i | 0.238580 | − | 0.0571363i | ||||
\(835\) | −26.7722 | −0.926489 | ||||||||
\(836\) | 8.39727 | 0.290426 | ||||||||
\(837\) | 32.8867 | − | 6.03793i | 1.13673 | − | 0.208701i | ||||
\(838\) | 18.5356 | − | 32.1046i | 0.640301 | − | 1.10903i | ||||
\(839\) | 44.9506 | − | 25.9522i | 1.55187 | − | 0.895970i | 0.553876 | − | 0.832599i | \(-0.313148\pi\) |
0.997990 | − | 0.0633716i | \(-0.0201853\pi\) | |||||||
\(840\) | 4.92598 | + | 8.17144i | 0.169962 | + | 0.281941i | ||||
\(841\) | 10.3454 | + | 17.9187i | 0.356738 | + | 0.617888i | ||||
\(842\) | 15.9315i | 0.549034i | ||||||||
\(843\) | 1.31425 | + | 0.390100i | 0.0452650 | + | 0.0134358i | ||||
\(844\) | 6.39897 | − | 11.0833i | 0.220262 | − | 0.381504i | ||||
\(845\) | −24.8986 | + | 10.6159i | −0.856537 | + | 0.365197i | ||||
\(846\) | 1.75383 | + | 0.0938885i | 0.0602978 | + | 0.00322795i | ||||
\(847\) | −16.4111 | − | 3.60373i | −0.563893 | − | 0.123825i | ||||
\(848\) | 6.68551 | + | 3.85988i | 0.229581 | + | 0.132549i | ||||
\(849\) | 19.8108 | − | 4.74439i | 0.679904 | − | 0.162827i | ||||
\(850\) | −0.185257 | + | 0.320875i | −0.00635428 | + | 0.0110059i | ||||
\(851\) | −17.2617 | −0.591724 | ||||||||
\(852\) | −5.26742 | − | 21.9948i | −0.180459 | − | 0.753529i | ||||
\(853\) | −48.0179 | −1.64410 | −0.822051 | − | 0.569413i | \(-0.807170\pi\) | ||||
−0.822051 | + | 0.569413i | \(0.807170\pi\) | |||||||
\(854\) | 4.65444 | − | 21.1960i | 0.159272 | − | 0.725313i | ||||
\(855\) | 13.2715 | − | 20.3862i | 0.453877 | − | 0.697194i | ||||
\(856\) | − | 13.7207i | − | 0.468965i | ||||||
\(857\) | −4.00763 | + | 6.94143i | −0.136898 | + | 0.237115i | −0.926321 | − | 0.376735i | \(-0.877047\pi\) |
0.789423 | + | 0.613850i | \(0.210380\pi\) | |||||||
\(858\) | −13.2606 | + | 2.34147i | −0.452710 | + | 0.0799363i | ||||
\(859\) | 10.3210 | − | 5.95884i | 0.352148 | − | 0.203313i | −0.313483 | − | 0.949594i | \(-0.601496\pi\) |
0.665631 | + | 0.746281i | \(0.268162\pi\) | |||||||
\(860\) | 15.6285 | + | 9.02310i | 0.532926 | + | 0.307685i | ||||
\(861\) | −1.36343 | + | 2.46809i | −0.0464654 | + | 0.0841123i | ||||
\(862\) | 14.0904 | + | 24.4053i | 0.479920 | + | 0.831246i | ||||
\(863\) | 13.8281 | + | 23.9509i | 0.470713 | + | 0.815299i | 0.999439 | − | 0.0334938i | \(-0.0106634\pi\) |
−0.528726 | + | 0.848793i | \(0.677330\pi\) | |||||||
\(864\) | −3.36797 | − | 3.95686i | −0.114581 | − | 0.134615i | ||||
\(865\) | − | 9.22538i | − | 0.313672i | ||||||
\(866\) | −10.7990 | + | 6.23481i | −0.366965 | + | 0.211867i | ||||
\(867\) | −27.7120 | − | 8.22558i | −0.941148 | − | 0.279355i | ||||
\(868\) | −16.6288 | − | 3.65152i | −0.564417 | − | 0.123941i | ||||
\(869\) | −12.3648 | + | 21.4164i | −0.419446 | + | 0.726503i | ||||
\(870\) | 24.3705 | + | 7.23375i | 0.826237 | + | 0.245247i | ||||
\(871\) | −22.9781 | − | 45.9948i | −0.778583 | − | 1.55847i | ||||
\(872\) | 2.51915 | + | 1.45443i | 0.0853091 | + | 0.0492532i | ||||
\(873\) | −0.528361 | + | 9.86972i | −0.0178823 | + | 0.334039i | ||||
\(874\) | −7.00042 | − | 4.04170i | −0.236793 | − | 0.136712i | ||||
\(875\) | 29.7429 | − | 9.44357i | 1.00549 | − | 0.319251i | ||||
\(876\) | 0.500031 | − | 0.473979i | 0.0168945 | − | 0.0160143i | ||||
\(877\) | 23.3246 | + | 13.4665i | 0.787615 | + | 0.454730i | 0.839122 | − | 0.543943i | \(-0.183069\pi\) |
−0.0515070 | + | 0.998673i | \(0.516402\pi\) | |||||||
\(878\) | − | 36.4164i | − | 1.22899i | ||||||
\(879\) | 12.9933 | − | 3.11171i | 0.438255 | − | 0.104956i | ||||
\(880\) | 3.88803 | + | 2.24475i | 0.131065 | + | 0.0756707i | ||||
\(881\) | 28.8939 | − | 50.0457i | 0.973460 | − | 1.68608i | 0.288533 | − | 0.957470i | \(-0.406833\pi\) |
0.684927 | − | 0.728612i | \(-0.259834\pi\) | |||||||
\(882\) | 20.9850 | − | 0.793547i | 0.706602 | − | 0.0267201i | ||||
\(883\) | −31.0838 | −1.04605 | −0.523027 | − | 0.852316i | \(-0.675197\pi\) | ||||
−0.523027 | + | 0.852316i | \(0.675197\pi\) | |||||||
\(884\) | −0.121059 | + | 2.00562i | −0.00407164 | + | 0.0674562i | ||||
\(885\) | 1.31498 | + | 5.49084i | 0.0442024 | + | 0.184573i | ||||
\(886\) | −11.6506 | + | 6.72648i | −0.391409 | + | 0.225980i | ||||
\(887\) | −44.0120 | −1.47778 | −0.738889 | − | 0.673828i | \(-0.764649\pi\) | ||||
−0.738889 | + | 0.673828i | \(0.764649\pi\) | |||||||
\(888\) | 4.09879 | − | 13.8088i | 0.137546 | − | 0.463393i | ||||
\(889\) | 38.0287 | + | 8.35073i | 1.27544 | + | 0.280075i | ||||
\(890\) | −9.06478 | − | 15.7007i | −0.303852 | − | 0.526288i | ||||
\(891\) | −11.4419 | + | 15.6743i | −0.383318 | + | 0.525109i | ||||
\(892\) | 6.84088 | − | 11.8488i | 0.229050 | − | 0.396726i | ||||
\(893\) | 2.27996i | 0.0762959i | ||||||||
\(894\) | −1.44191 | + | 1.36678i | −0.0482247 | + | 0.0457121i | ||||
\(895\) | 23.6626 | − | 40.9848i | 0.790952 | − | 1.36997i | ||||
\(896\) | 0.800654 | + | 2.52170i | 0.0267480 | + | 0.0842440i | ||||
\(897\) | 12.1817 | + | 4.43050i | 0.406736 | + | 0.147930i | ||||
\(898\) | 10.8390 | + | 18.7736i | 0.361700 | + | 0.626484i | ||||
\(899\) | −39.2831 | + | 22.6801i | −1.31017 | + | 0.756424i | ||||
\(900\) | −1.77824 | + | 0.903544i | −0.0592745 | + | 0.0301181i | ||||
\(901\) | −3.72564 | − | 2.15100i | −0.124119 | − | 0.0716601i | ||||
\(902\) | 1.32673i | 0.0441753i | ||||||||
\(903\) | 34.0159 | − | 20.5058i | 1.13198 | − | 0.682390i | ||||
\(904\) | 17.2893 | − | 9.98197i | 0.575033 | − | 0.331995i | ||||
\(905\) | 10.6877 | + | 18.5117i | 0.355273 | + | 0.615350i | ||||
\(906\) | 5.72206 | + | 6.03658i | 0.190103 | + | 0.200552i | ||||
\(907\) | −7.41617 | − | 12.8452i | −0.246250 | − | 0.426518i | 0.716232 | − | 0.697862i | \(-0.245865\pi\) |
−0.962482 | + | 0.271344i | \(0.912532\pi\) | |||||||
\(908\) | − | 3.74358i | − | 0.124235i | ||||||
\(909\) | 2.54842 | − | 47.6041i | 0.0845256 | − | 1.57893i | ||||
\(910\) | 14.2487 | − | 13.8373i | 0.472340 | − | 0.458702i | ||||
\(911\) | − | 10.4486i | − | 0.346178i | −0.984906 | − | 0.173089i | \(-0.944625\pi\) | ||
0.984906 | − | 0.173089i | \(-0.0553749\pi\) | |||||||
\(912\) | 4.89547 | − | 4.64041i | 0.162105 | − | 0.153659i | ||||
\(913\) | −23.2403 | + | 13.4178i | −0.769140 | + | 0.444063i | ||||
\(914\) | 14.4590i | 0.478263i | ||||||||
\(915\) | −28.3568 | − | 8.41699i | −0.937448 | − | 0.278257i | ||||
\(916\) | −4.38767 | − | 7.59967i | −0.144973 | − | 0.251100i | ||||
\(917\) | −10.0648 | + | 11.0282i | −0.332370 | + | 0.364183i | ||||
\(918\) | 1.87687 | + | 2.20504i | 0.0619460 | + | 0.0727773i | ||||
\(919\) | 22.9797 | − | 39.8020i | 0.758030 | − | 1.31295i | −0.185823 | − | 0.982583i | \(-0.559495\pi\) |
0.943854 | − | 0.330364i | \(-0.107171\pi\) | |||||||
\(920\) | −2.16085 | − | 3.74270i | −0.0712410 | − | 0.123393i | ||||
\(921\) | 37.4542 | + | 11.1173i | 1.23416 | + | 0.366328i | ||||
\(922\) | −29.7738 | + | 17.1899i | −0.980548 | + | 0.566120i | ||||
\(923\) | −42.1171 | + | 21.0409i | −1.38630 | + | 0.692569i | ||||
\(924\) | 8.46244 | − | 5.10141i | 0.278394 | − | 0.167824i | ||||
\(925\) | −4.78851 | − | 2.76465i | −0.157445 | − | 0.0909011i | ||||
\(926\) | − | 3.55647i | − | 0.116873i | ||||||
\(927\) | −8.02723 | − | 0.429726i | −0.263649 | − | 0.0141140i | ||||
\(928\) | 6.10476 | + | 3.52458i | 0.200399 | + | 0.115700i | ||||
\(929\) | 15.0803 | + | 8.70664i | 0.494770 | + | 0.285655i | 0.726551 | − | 0.687112i | \(-0.241122\pi\) |
−0.231781 | + | 0.972768i | \(0.574455\pi\) | |||||||
\(930\) | −6.60333 | + | 22.2466i | −0.216532 | + | 0.729494i | ||||
\(931\) | 2.48489 | + | 27.1473i | 0.0814391 | + | 0.889717i | ||||
\(932\) | −19.0891 | + | 11.0211i | −0.625285 | + | 0.361008i | ||||
\(933\) | −16.7031 | + | 15.8329i | −0.546835 | + | 0.518344i | ||||
\(934\) | 0.408159 | + | 0.706953i | 0.0133554 | + | 0.0231322i | ||||
\(935\) | −2.16669 | − | 1.25094i | −0.0708582 | − | 0.0409100i | ||||
\(936\) | −6.43680 | + | 8.69296i | −0.210393 | + | 0.284138i | ||||
\(937\) | − | 0.922295i | − | 0.0301301i | −0.999887 | − | 0.0150650i | \(-0.995204\pi\) | ||
0.999887 | − | 0.0150650i | \(-0.00479553\pi\) | |||||||
\(938\) | 27.8673 | + | 25.4330i | 0.909901 | + | 0.830418i | ||||
\(939\) | 28.7031 | − | 6.87397i | 0.936691 | − | 0.224324i | ||||
\(940\) | −0.609477 | + | 1.05565i | −0.0198790 | + | 0.0344314i | ||||
\(941\) | −9.53735 | − | 5.50639i | −0.310909 | − | 0.179503i | 0.336424 | − | 0.941711i | \(-0.390782\pi\) |
−0.647333 | + | 0.762207i | \(0.724116\pi\) | |||||||
\(942\) | 8.32004 | + | 8.77736i | 0.271082 | + | 0.285982i | ||||
\(943\) | 0.638570 | − | 1.10604i | 0.0207947 | − | 0.0360175i | ||||
\(944\) | 1.56562i | 0.0509567i | ||||||||
\(945\) | 0.989739 | − | 28.6070i | 0.0321962 | − | 0.930585i | ||||
\(946\) | 9.34443 | − | 16.1850i | 0.303814 | − | 0.526221i | ||||
\(947\) | 10.1762 | 0.330681 | 0.165340 | − | 0.986237i | \(-0.447128\pi\) | ||||
0.165340 | + | 0.986237i | \(0.447128\pi\) | |||||||
\(948\) | 4.62645 | + | 19.3183i | 0.150260 | + | 0.627429i | ||||
\(949\) | −1.19661 | − | 0.790640i | −0.0388434 | − | 0.0256653i | ||||
\(950\) | −1.29464 | − | 2.24239i | −0.0420037 | − | 0.0727526i | ||||
\(951\) | 6.13637 | + | 25.6232i | 0.198985 | + | 0.830889i | ||||
\(952\) | −0.446181 | − | 1.40527i | −0.0144608 | − | 0.0455450i | ||||
\(953\) | 2.74974 | − | 1.58756i | 0.0890727 | − | 0.0514261i | −0.454802 | − | 0.890593i | \(-0.650290\pi\) |
0.543875 | + | 0.839166i | \(0.316957\pi\) | |||||||
\(954\) | −10.4909 | − | 20.6469i | −0.339656 | − | 0.668467i | ||||
\(955\) | −8.10761 | −0.262356 | ||||||||
\(956\) | 12.3469 | 0.399328 | ||||||||
\(957\) | 7.49136 | − | 25.2384i | 0.242161 | − | 0.815841i | ||||
\(958\) | −32.0593 | + | 18.5095i | −1.03579 | + | 0.598014i | ||||
\(959\) | 10.2644 | + | 32.3281i | 0.331454 | + | 1.04393i | ||||
\(960\) | 3.50713 | − | 0.839905i | 0.113192 | − | 0.0271078i | ||||
\(961\) | −5.20354 | − | 9.01280i | −0.167856 | − | 0.290735i | ||||
\(962\) | −29.9304 | − | 1.80659i | −0.964995 | − | 0.0582469i | ||||
\(963\) | −22.4573 | + | 34.4963i | −0.723676 | + | 1.11163i | ||||
\(964\) | −1.22458 | −0.0394410 | ||||||||
\(965\) | −3.74660 | + | 6.48931i | −0.120607 | + | 0.208898i | ||||
\(966\) | −9.51011 | + | 0.179748i | −0.305983 | + | 0.00578329i | ||||
\(967\) | − | 43.4041i | − | 1.39578i | −0.716204 | − | 0.697891i | \(-0.754122\pi\) | ||
0.716204 | − | 0.697891i | \(-0.245878\pi\) | |||||||
\(968\) | −3.17530 | + | 5.49979i | −0.102058 | + | 0.176770i | ||||
\(969\) | −2.72810 | + | 2.58596i | −0.0876392 | + | 0.0830731i | ||||
\(970\) | −5.94069 | − | 3.42986i | −0.190744 | − | 0.110126i | ||||
\(971\) | 1.24838 | − | 2.16226i | 0.0400624 | − | 0.0693901i | −0.845299 | − | 0.534294i | \(-0.820578\pi\) |
0.885361 | + | 0.464904i | \(0.153911\pi\) | |||||||
\(972\) | 1.99132 | + | 15.4607i | 0.0638716 | + | 0.495904i | ||||
\(973\) | 7.99361 | + | 7.29534i | 0.256263 | + | 0.233878i | ||||
\(974\) | − | 21.7586i | − | 0.697191i | ||||||
\(975\) | 2.66970 | + | 3.18008i | 0.0854988 | + | 0.101844i | ||||
\(976\) | −7.10333 | − | 4.10111i | −0.227372 | − | 0.131273i | ||||
\(977\) | −13.2406 | − | 22.9334i | −0.423604 | − | 0.733704i | 0.572685 | − | 0.819776i | \(-0.305902\pi\) |
−0.996289 | + | 0.0860718i | \(0.972569\pi\) | |||||||
\(978\) | 23.4495 | + | 24.7384i | 0.749832 | + | 0.791047i | ||||
\(979\) | −16.2598 | + | 9.38760i | −0.519666 | + | 0.300029i | ||||
\(980\) | −6.10647 | + | 13.2338i | −0.195064 | + | 0.422737i | ||||
\(981\) | −3.95305 | − | 7.77989i | −0.126211 | − | 0.248393i | ||||
\(982\) | −25.7673 | − | 14.8768i | −0.822269 | − | 0.474737i | ||||
\(983\) | −40.2588 | − | 23.2434i | −1.28406 | − | 0.741351i | −0.306470 | − | 0.951880i | \(-0.599148\pi\) |
−0.977587 | + | 0.210530i | \(0.932481\pi\) | |||||||
\(984\) | 0.733163 | + | 0.773462i | 0.0233724 | + | 0.0246571i | ||||
\(985\) | 22.8405i | 0.727758i | ||||||||
\(986\) | −3.40200 | − | 1.96415i | −0.108342 | − | 0.0625512i | ||||
\(987\) | 1.38509 | + | 2.29765i | 0.0440879 | + | 0.0731350i | ||||
\(988\) | −11.7152 | − | 7.74063i | −0.372709 | − | 0.246262i | ||||
\(989\) | −15.5800 | + | 8.99514i | −0.495417 | + | 0.286029i | ||||
\(990\) | −6.10111 | − | 12.0074i | −0.193906 | − | 0.381620i | ||||
\(991\) | 15.8691 | + | 27.4860i | 0.504098 | + | 0.873123i | 0.999989 | + | 0.00473799i | \(0.00150816\pi\) |
−0.495891 | + | 0.868385i | \(0.665159\pi\) | |||||||
\(992\) | −3.21742 | + | 5.57273i | −0.102153 | + | 0.176934i | ||||
\(993\) | −13.6168 | − | 14.3652i | −0.432115 | − | 0.455867i | ||||
\(994\) | 23.2889 | − | 25.5179i | 0.738678 | − | 0.809380i | ||||
\(995\) | 21.1065 | + | 36.5575i | 0.669121 | + | 1.15895i | ||||
\(996\) | −6.13390 | + | 20.6651i | −0.194360 | + | 0.654799i | ||||
\(997\) | − | 58.6671i | − | 1.85800i | −0.370075 | − | 0.929002i | \(-0.620668\pi\) | ||
0.370075 | − | 0.929002i | \(-0.379332\pi\) | |||||||
\(998\) | 9.70337 | − | 5.60224i | 0.307155 | − | 0.177336i | ||||
\(999\) | −32.9065 | + | 28.0091i | −1.04112 | + | 0.886169i |
(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.bi.e.17.15 | ✓ | 34 | |
3.2 | odd | 2 | 546.2.bi.f.17.9 | yes | 34 | ||
7.5 | odd | 6 | 546.2.bn.f.173.15 | yes | 34 | ||
13.10 | even | 6 | 546.2.bn.e.101.3 | yes | 34 | ||
21.5 | even | 6 | 546.2.bn.e.173.3 | yes | 34 | ||
39.23 | odd | 6 | 546.2.bn.f.101.15 | yes | 34 | ||
91.75 | odd | 6 | 546.2.bi.f.257.9 | yes | 34 | ||
273.257 | even | 6 | inner | 546.2.bi.e.257.15 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.15 | ✓ | 34 | 1.1 | even | 1 | trivial | |
546.2.bi.e.257.15 | yes | 34 | 273.257 | even | 6 | inner | |
546.2.bi.f.17.9 | yes | 34 | 3.2 | odd | 2 | ||
546.2.bi.f.257.9 | yes | 34 | 91.75 | odd | 6 | ||
546.2.bn.e.101.3 | yes | 34 | 13.10 | even | 6 | ||
546.2.bn.e.173.3 | yes | 34 | 21.5 | even | 6 | ||
546.2.bn.f.101.15 | yes | 34 | 39.23 | odd | 6 | ||
546.2.bn.f.173.15 | yes | 34 | 7.5 | odd | 6 |