Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(179,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, 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("570.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.n (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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 179.8 | ||
Character | \(\chi\) | \(=\) | 570.179 |
Dual form | 570.2.n.a.449.8 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | −0.540671 | + | 1.64550i | −0.312156 | + | 0.950031i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −0.636160 | − | 2.14367i | −0.284500 | − | 0.958676i | ||||
\(6\) | 1.29099 | − | 1.15471i | 0.527043 | − | 0.471409i | ||||
\(7\) | 4.14066i | 1.56502i | 0.622637 | + | 0.782511i | \(0.286061\pi\) | ||||
−0.622637 | + | 0.782511i | \(0.713939\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.41535 | − | 1.77935i | −0.805117 | − | 0.593116i | ||||
\(10\) | −0.520902 | + | 2.17455i | −0.164724 | + | 0.687653i | ||||
\(11\) | − | 0.276925i | − | 0.0834960i | −0.999128 | − | 0.0417480i | \(-0.986707\pi\) | ||
0.999128 | − | 0.0417480i | \(-0.0132927\pi\) | |||||||
\(12\) | −1.69538 | + | 0.354516i | −0.489414 | + | 0.102340i | ||||
\(13\) | −0.418840 | − | 0.725452i | −0.116165 | − | 0.201204i | 0.802080 | − | 0.597217i | \(-0.203727\pi\) |
−0.918245 | + | 0.396013i | \(0.870394\pi\) | |||||||
\(14\) | 2.07033 | − | 3.58592i | 0.553319 | − | 0.958376i | ||||
\(15\) | 3.87136 | + | 0.112214i | 0.999580 | + | 0.0289736i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −2.82932 | + | 4.90052i | −0.686210 | + | 1.18855i | 0.286844 | + | 0.957977i | \(0.407394\pi\) |
−0.973055 | + | 0.230574i | \(0.925940\pi\) | |||||||
\(18\) | 1.20208 | + | 2.74864i | 0.283333 | + | 0.647860i | ||||
\(19\) | −2.04202 | − | 3.85099i | −0.468472 | − | 0.883478i | ||||
\(20\) | 1.53839 | − | 1.62276i | 0.343994 | − | 0.362861i | ||||
\(21\) | −6.81346 | − | 2.23873i | −1.48682 | − | 0.488532i | ||||
\(22\) | −0.138462 | + | 0.239824i | −0.0295203 | + | 0.0511307i | ||||
\(23\) | 0.101759 | + | 0.176252i | 0.0212182 | + | 0.0367511i | 0.876440 | − | 0.481512i | \(-0.159912\pi\) |
−0.855221 | + | 0.518263i | \(0.826579\pi\) | |||||||
\(24\) | 1.64550 | + | 0.540671i | 0.335887 | + | 0.110364i | ||||
\(25\) | −4.19060 | + | 2.72743i | −0.838120 | + | 0.545486i | ||||
\(26\) | 0.837680i | 0.164283i | ||||||||
\(27\) | 4.23383 | − | 3.01242i | 0.814801 | − | 0.579741i | ||||
\(28\) | −3.58592 | + | 2.07033i | −0.677674 | + | 0.391256i | ||||
\(29\) | −4.06700 | − | 7.04425i | −0.755223 | − | 1.30808i | −0.945263 | − | 0.326309i | \(-0.894195\pi\) |
0.190040 | − | 0.981776i | \(-0.439138\pi\) | |||||||
\(30\) | −3.29659 | − | 2.03286i | −0.601872 | − | 0.371148i | ||||
\(31\) | 5.54805i | 0.996459i | 0.867045 | + | 0.498229i | \(0.166016\pi\) | ||||
−0.867045 | + | 0.498229i | \(0.833984\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0.455680 | + | 0.149725i | 0.0793238 | + | 0.0260638i | ||||
\(34\) | 4.90052 | − | 2.82932i | 0.840433 | − | 0.485224i | ||||
\(35\) | 8.87619 | − | 2.63412i | 1.50035 | − | 0.445248i | ||||
\(36\) | 0.333286 | − | 2.98143i | 0.0555477 | − | 0.496905i | ||||
\(37\) | −1.84341 | −0.303054 | −0.151527 | − | 0.988453i | \(-0.548419\pi\) | ||||
−0.151527 | + | 0.988453i | \(0.548419\pi\) | |||||||
\(38\) | −0.157053 | + | 4.35607i | −0.0254774 | + | 0.706648i | ||||
\(39\) | 1.42019 | − | 0.296971i | 0.227412 | − | 0.0475534i | ||||
\(40\) | −2.14367 | + | 0.636160i | −0.338943 | + | 0.100586i | ||||
\(41\) | −2.91976 | + | 5.05717i | −0.455990 | + | 0.789798i | −0.998745 | − | 0.0500936i | \(-0.984048\pi\) |
0.542755 | + | 0.839891i | \(0.317381\pi\) | |||||||
\(42\) | 4.78126 | + | 5.34553i | 0.737765 | + | 0.824833i | ||||
\(43\) | −9.67160 | − | 5.58390i | −1.47491 | − | 0.851537i | −0.475305 | − | 0.879821i | \(-0.657662\pi\) |
−0.999600 | + | 0.0282839i | \(0.990996\pi\) | |||||||
\(44\) | 0.239824 | − | 0.138462i | 0.0361548 | − | 0.0208740i | ||||
\(45\) | −2.27778 | + | 6.30965i | −0.339551 | + | 0.940588i | ||||
\(46\) | − | 0.203518i | − | 0.0300071i | ||||||
\(47\) | −5.89995 | − | 10.2190i | −0.860596 | − | 1.49060i | −0.871355 | − | 0.490654i | \(-0.836758\pi\) |
0.0107588 | − | 0.999942i | \(-0.496575\pi\) | |||||||
\(48\) | −1.15471 | − | 1.29099i | −0.166668 | − | 0.186338i | ||||
\(49\) | −10.1451 | −1.44929 | ||||||||
\(50\) | 4.99288 | − | 0.266723i | 0.706100 | − | 0.0377203i | ||||
\(51\) | −6.53409 | − | 7.30522i | −0.914955 | − | 1.02293i | ||||
\(52\) | 0.418840 | − | 0.725452i | 0.0580827 | − | 0.100602i | ||||
\(53\) | −8.06300 | + | 4.65518i | −1.10754 | + | 0.639438i | −0.938191 | − | 0.346119i | \(-0.887499\pi\) |
−0.169348 | + | 0.985556i | \(0.554166\pi\) | |||||||
\(54\) | −5.17282 | + | 0.491917i | −0.703931 | + | 0.0669415i | ||||
\(55\) | −0.593634 | + | 0.176169i | −0.0800456 | + | 0.0237546i | ||||
\(56\) | 4.14066 | 0.553319 | ||||||||
\(57\) | 7.44088 | − | 1.27803i | 0.985568 | − | 0.169279i | ||||
\(58\) | 8.13400i | 1.06805i | ||||||||
\(59\) | 1.94977 | − | 3.37710i | 0.253838 | − | 0.439661i | −0.710741 | − | 0.703454i | \(-0.751640\pi\) |
0.964579 | + | 0.263793i | \(0.0849735\pi\) | |||||||
\(60\) | 1.83850 | + | 3.40880i | 0.237349 | + | 0.440074i | ||||
\(61\) | −2.56141 | − | 4.43650i | −0.327956 | − | 0.568036i | 0.654151 | − | 0.756364i | \(-0.273026\pi\) |
−0.982106 | + | 0.188329i | \(0.939693\pi\) | |||||||
\(62\) | 2.77402 | − | 4.80475i | 0.352301 | − | 0.610204i | ||||
\(63\) | 7.36768 | − | 10.0011i | 0.928240 | − | 1.26003i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −1.28868 | + | 1.35936i | −0.159841 | + | 0.168607i | ||||
\(66\) | −0.319768 | − | 0.357506i | −0.0393607 | − | 0.0440060i | ||||
\(67\) | 5.36719 | + | 9.29624i | 0.655706 | + | 1.13572i | 0.981716 | + | 0.190350i | \(0.0609624\pi\) |
−0.326010 | + | 0.945366i | \(0.605704\pi\) | |||||||
\(68\) | −5.65864 | −0.686210 | ||||||||
\(69\) | −0.345041 | + | 0.0721505i | −0.0415380 | + | 0.00868589i | ||||
\(70\) | −9.00406 | − | 2.15688i | −1.07619 | − | 0.257796i | ||||
\(71\) | −5.59684 | + | 9.69401i | −0.664223 | + | 1.15047i | 0.315273 | + | 0.949001i | \(0.397904\pi\) |
−0.979495 | + | 0.201466i | \(0.935429\pi\) | |||||||
\(72\) | −1.77935 | + | 2.41535i | −0.209698 | + | 0.284652i | ||||
\(73\) | −5.57300 | − | 3.21757i | −0.652270 | − | 0.376588i | 0.137055 | − | 0.990563i | \(-0.456236\pi\) |
−0.789325 | + | 0.613975i | \(0.789569\pi\) | |||||||
\(74\) | 1.59644 | + | 0.921703i | 0.185582 | + | 0.107146i | ||||
\(75\) | −2.22225 | − | 8.37028i | −0.256604 | − | 0.966517i | ||||
\(76\) | 2.31405 | − | 3.69394i | 0.265439 | − | 0.423724i | ||||
\(77\) | 1.14665 | 0.130673 | ||||||||
\(78\) | −1.37840 | − | 0.452909i | −0.156074 | − | 0.0512819i | ||||
\(79\) | 14.0332 | + | 8.10205i | 1.57885 | + | 0.911552i | 0.995020 | + | 0.0996789i | \(0.0317816\pi\) |
0.583834 | + | 0.811873i | \(0.301552\pi\) | |||||||
\(80\) | 2.17455 | + | 0.520902i | 0.243122 | + | 0.0582386i | ||||
\(81\) | 2.66783 | + | 8.59550i | 0.296426 | + | 0.955056i | ||||
\(82\) | 5.05717 | − | 2.91976i | 0.558471 | − | 0.322434i | ||||
\(83\) | 1.50224 | 0.164892 | 0.0824461 | − | 0.996596i | \(-0.473727\pi\) | ||||
0.0824461 | + | 0.996596i | \(0.473727\pi\) | |||||||
\(84\) | −1.46793 | − | 7.02000i | −0.160164 | − | 0.765944i | ||||
\(85\) | 12.3050 | + | 2.94759i | 1.33466 | + | 0.319711i | ||||
\(86\) | 5.58390 | + | 9.67160i | 0.602128 | + | 1.04292i | ||||
\(87\) | 13.7902 | − | 2.88364i | 1.47847 | − | 0.309158i | ||||
\(88\) | −0.276925 | −0.0295203 | ||||||||
\(89\) | −3.27700 | − | 5.67592i | −0.347361 | − | 0.601647i | 0.638419 | − | 0.769689i | \(-0.279589\pi\) |
−0.985780 | + | 0.168042i | \(0.946255\pi\) | |||||||
\(90\) | 5.12744 | − | 4.32543i | 0.540480 | − | 0.455940i | ||||
\(91\) | 3.00385 | − | 1.73427i | 0.314889 | − | 0.181801i | ||||
\(92\) | −0.101759 | + | 0.176252i | −0.0106091 | + | 0.0183755i | ||||
\(93\) | −9.12932 | − | 2.99967i | −0.946666 | − | 0.311051i | ||||
\(94\) | 11.7999i | 1.21707i | ||||||||
\(95\) | −6.95619 | + | 6.82726i | −0.713690 | + | 0.700462i | ||||
\(96\) | 0.354516 | + | 1.69538i | 0.0361827 | + | 0.173034i | ||||
\(97\) | −3.24889 | + | 5.62724i | −0.329874 | + | 0.571359i | −0.982487 | − | 0.186333i | \(-0.940340\pi\) |
0.652612 | + | 0.757692i | \(0.273673\pi\) | |||||||
\(98\) | 8.78588 | + | 5.07253i | 0.887508 | + | 0.512403i | ||||
\(99\) | −0.492746 | + | 0.668871i | −0.0495229 | + | 0.0672240i | ||||
\(100\) | −4.45732 | − | 2.26545i | −0.445732 | − | 0.226545i | ||||
\(101\) | 3.02926 | − | 1.74894i | 0.301422 | − | 0.174026i | −0.341659 | − | 0.939824i | \(-0.610989\pi\) |
0.643082 | + | 0.765798i | \(0.277656\pi\) | |||||||
\(102\) | 2.00608 | + | 9.59355i | 0.198631 | + | 0.949903i | ||||
\(103\) | 6.70352 | 0.660517 | 0.330259 | − | 0.943890i | \(-0.392864\pi\) | ||||
0.330259 | + | 0.943890i | \(0.392864\pi\) | |||||||
\(104\) | −0.725452 | + | 0.418840i | −0.0711364 | + | 0.0410706i | ||||
\(105\) | −0.464642 | + | 16.0300i | −0.0453444 | + | 1.56437i | ||||
\(106\) | 9.31035 | 0.904302 | ||||||||
\(107\) | 5.90110i | 0.570481i | 0.958456 | + | 0.285240i | \(0.0920734\pi\) | ||||
−0.958456 | + | 0.285240i | \(0.907927\pi\) | |||||||
\(108\) | 4.72575 | + | 2.16039i | 0.454735 | + | 0.207884i | ||||
\(109\) | 9.70976 | + | 5.60593i | 0.930026 | + | 0.536951i | 0.886820 | − | 0.462115i | \(-0.152909\pi\) |
0.0432062 | + | 0.999066i | \(0.486243\pi\) | |||||||
\(110\) | 0.602187 | + | 0.144251i | 0.0574163 | + | 0.0137538i | ||||
\(111\) | 0.996675 | − | 3.03333i | 0.0946002 | − | 0.287911i | ||||
\(112\) | −3.58592 | − | 2.07033i | −0.338837 | − | 0.195628i | ||||
\(113\) | 2.63010i | 0.247419i | 0.992318 | + | 0.123710i | \(0.0394791\pi\) | ||||
−0.992318 | + | 0.123710i | \(0.960521\pi\) | |||||||
\(114\) | −7.08300 | − | 2.61363i | −0.663384 | − | 0.244789i | ||||
\(115\) | 0.313090 | − | 0.330262i | 0.0291958 | − | 0.0307971i | ||||
\(116\) | 4.06700 | − | 7.04425i | 0.377612 | − | 0.654042i | ||||
\(117\) | −0.279187 | + | 2.49748i | −0.0258109 | + | 0.230892i | ||||
\(118\) | −3.37710 | + | 1.94977i | −0.310887 | + | 0.179491i | ||||
\(119\) | −20.2914 | − | 11.7152i | −1.86011 | − | 1.07393i | ||||
\(120\) | 0.112214 | − | 3.87136i | 0.0102437 | − | 0.353405i | ||||
\(121\) | 10.9233 | 0.993028 | ||||||||
\(122\) | 5.12283i | 0.463799i | ||||||||
\(123\) | −6.74296 | − | 7.53874i | −0.607992 | − | 0.679745i | ||||
\(124\) | −4.80475 | + | 2.77402i | −0.431479 | + | 0.249115i | ||||
\(125\) | 8.51259 | + | 7.24816i | 0.761389 | + | 0.648295i | ||||
\(126\) | −11.3812 | + | 4.97740i | −1.01391 | + | 0.443422i | ||||
\(127\) | −3.14595 | − | 5.44894i | −0.279158 | − | 0.483515i | 0.692018 | − | 0.721880i | \(-0.256722\pi\) |
−0.971176 | + | 0.238365i | \(0.923389\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 14.4175 | − | 12.8956i | 1.26939 | − | 1.13539i | ||||
\(130\) | 1.79571 | − | 0.532899i | 0.157494 | − | 0.0467383i | ||||
\(131\) | 0.437520 | + | 0.252602i | 0.0382263 | + | 0.0220700i | 0.518991 | − | 0.854779i | \(-0.326308\pi\) |
−0.480765 | + | 0.876849i | \(0.659641\pi\) | |||||||
\(132\) | 0.0981744 | + | 0.469493i | 0.00854498 | + | 0.0408642i | ||||
\(133\) | 15.9456 | − | 8.45532i | 1.38266 | − | 0.733169i | ||||
\(134\) | − | 10.7344i | − | 0.927309i | ||||||
\(135\) | −9.15102 | − | 7.15953i | −0.787594 | − | 0.616195i | ||||
\(136\) | 4.90052 | + | 2.82932i | 0.420216 | + | 0.242612i | ||||
\(137\) | 0.0331892 | + | 0.0574854i | 0.00283555 | + | 0.00491131i | 0.867440 | − | 0.497542i | \(-0.165764\pi\) |
−0.864604 | + | 0.502454i | \(0.832431\pi\) | |||||||
\(138\) | 0.334889 | + | 0.110036i | 0.0285077 | + | 0.00936691i | ||||
\(139\) | 0.588959 | + | 1.02011i | 0.0499548 | + | 0.0865243i | 0.889922 | − | 0.456114i | \(-0.150759\pi\) |
−0.839967 | + | 0.542638i | \(0.817426\pi\) | |||||||
\(140\) | 6.71931 | + | 6.36994i | 0.567885 | + | 0.538358i | ||||
\(141\) | 20.0053 | − | 4.18325i | 1.68475 | − | 0.352293i | ||||
\(142\) | 9.69401 | − | 5.59684i | 0.813503 | − | 0.469676i | ||||
\(143\) | −0.200896 | + | 0.115987i | −0.0167998 | + | 0.00969934i | ||||
\(144\) | 2.74864 | − | 1.20208i | 0.229053 | − | 0.100173i | ||||
\(145\) | −12.5133 | + | 13.1996i | −1.03917 | + | 1.09616i | ||||
\(146\) | 3.21757 | + | 5.57300i | 0.266288 | + | 0.461224i | ||||
\(147\) | 5.48514 | − | 16.6937i | 0.452406 | − | 1.37687i | ||||
\(148\) | −0.921703 | − | 1.59644i | −0.0757635 | − | 0.131226i | ||||
\(149\) | 5.80877 | + | 3.35370i | 0.475873 | + | 0.274745i | 0.718695 | − | 0.695325i | \(-0.244740\pi\) |
−0.242822 | + | 0.970071i | \(0.578073\pi\) | |||||||
\(150\) | −2.26061 | + | 8.36000i | −0.184578 | + | 0.682591i | ||||
\(151\) | 11.6812i | 0.950601i | 0.879823 | + | 0.475301i | \(0.157661\pi\) | ||||
−0.879823 | + | 0.475301i | \(0.842339\pi\) | |||||||
\(152\) | −3.85099 | + | 2.04202i | −0.312357 | + | 0.165630i | ||||
\(153\) | 15.5535 | − | 6.80213i | 1.25743 | − | 0.549920i | ||||
\(154\) | −0.993030 | − | 0.573326i | −0.0800206 | − | 0.0461999i | ||||
\(155\) | 11.8932 | − | 3.52945i | 0.955281 | − | 0.283492i | ||||
\(156\) | 0.967278 | + | 1.08143i | 0.0774442 | + | 0.0865839i | ||||
\(157\) | 0.115351 | + | 0.0665981i | 0.00920603 | + | 0.00531511i | 0.504596 | − | 0.863356i | \(-0.331641\pi\) |
−0.495390 | + | 0.868671i | \(0.664975\pi\) | |||||||
\(158\) | −8.10205 | − | 14.0332i | −0.644564 | − | 1.11642i | ||||
\(159\) | −3.30067 | − | 15.7846i | −0.261760 | − | 1.25180i | ||||
\(160\) | −1.62276 | − | 1.53839i | −0.128291 | − | 0.121620i | ||||
\(161\) | −0.729799 | + | 0.421350i | −0.0575162 | + | 0.0332070i | ||||
\(162\) | 1.98734 | − | 8.77784i | 0.156140 | − | 0.689652i | ||||
\(163\) | 4.40488i | 0.345017i | 0.985008 | + | 0.172508i | \(0.0551872\pi\) | ||||
−0.985008 | + | 0.172508i | \(0.944813\pi\) | |||||||
\(164\) | −5.83952 | −0.455990 | ||||||||
\(165\) | 0.0310750 | − | 1.07208i | 0.00241918 | − | 0.0834610i | ||||
\(166\) | −1.30098 | − | 0.751119i | −0.100975 | − | 0.0582982i | ||||
\(167\) | 6.03723 | − | 3.48560i | 0.467175 | − | 0.269724i | −0.247881 | − | 0.968790i | \(-0.579734\pi\) |
0.715056 | + | 0.699067i | \(0.246401\pi\) | |||||||
\(168\) | −2.23873 | + | 6.81346i | −0.172722 | + | 0.525670i | ||||
\(169\) | 6.14915 | − | 10.6506i | 0.473011 | − | 0.819279i | ||||
\(170\) | −9.18263 | − | 8.70518i | −0.704275 | − | 0.667657i | ||||
\(171\) | −1.92006 | + | 12.9350i | −0.146831 | + | 0.989162i | ||||
\(172\) | − | 11.1678i | − | 0.851537i | ||||||
\(173\) | 20.7581 | + | 11.9847i | 1.57821 | + | 0.911181i | 0.995109 | + | 0.0987817i | \(0.0314946\pi\) |
0.583102 | + | 0.812399i | \(0.301839\pi\) | |||||||
\(174\) | −13.3845 | − | 4.39782i | −1.01468 | − | 0.333398i | ||||
\(175\) | −11.2934 | − | 17.3518i | −0.853697 | − | 1.31168i | ||||
\(176\) | 0.239824 | + | 0.138462i | 0.0180774 | + | 0.0104370i | ||||
\(177\) | 4.50284 | + | 5.03425i | 0.338454 | + | 0.378397i | ||||
\(178\) | 6.55399i | 0.491242i | ||||||||
\(179\) | −13.0272 | −0.973695 | −0.486848 | − | 0.873487i | \(-0.661853\pi\) | ||||
−0.486848 | + | 0.873487i | \(0.661853\pi\) | |||||||
\(180\) | −6.60321 | + | 1.18221i | −0.492174 | + | 0.0881169i | ||||
\(181\) | −13.0547 | + | 7.53713i | −0.970347 | + | 0.560230i | −0.899342 | − | 0.437246i | \(-0.855954\pi\) |
−0.0710052 | + | 0.997476i | \(0.522621\pi\) | |||||||
\(182\) | −3.46855 | −0.257106 | ||||||||
\(183\) | 8.68515 | − | 1.81613i | 0.642025 | − | 0.134252i | ||||
\(184\) | 0.176252 | − | 0.101759i | 0.0129935 | − | 0.00750178i | ||||
\(185\) | 1.17270 | + | 3.95164i | 0.0862187 | + | 0.290531i | ||||
\(186\) | 6.40639 | + | 7.16245i | 0.469739 | + | 0.525176i | ||||
\(187\) | 1.35708 | + | 0.783509i | 0.0992393 | + | 0.0572958i | ||||
\(188\) | 5.89995 | − | 10.2190i | 0.430298 | − | 0.745298i | ||||
\(189\) | 12.4734 | + | 17.5309i | 0.907307 | + | 1.27518i | ||||
\(190\) | 9.43786 | − | 2.43449i | 0.684695 | − | 0.176616i | ||||
\(191\) | − | 8.16641i | − | 0.590901i | −0.955358 | − | 0.295450i | \(-0.904530\pi\) | ||
0.955358 | − | 0.295450i | \(-0.0954697\pi\) | |||||||
\(192\) | 0.540671 | − | 1.64550i | 0.0390196 | − | 0.118754i | ||||
\(193\) | 11.0461 | − | 19.1325i | 0.795118 | − | 1.37718i | −0.127646 | − | 0.991820i | \(-0.540742\pi\) |
0.922764 | − | 0.385365i | \(-0.125924\pi\) | |||||||
\(194\) | 5.62724 | − | 3.24889i | 0.404012 | − | 0.233256i | ||||
\(195\) | −1.54007 | − | 2.85548i | −0.110287 | − | 0.204486i | ||||
\(196\) | −5.07253 | − | 8.78588i | −0.362324 | − | 0.627563i | ||||
\(197\) | −26.9122 | −1.91742 | −0.958708 | − | 0.284391i | \(-0.908209\pi\) | ||||
−0.958708 | + | 0.284391i | \(0.908209\pi\) | |||||||
\(198\) | 0.761166 | − | 0.332886i | 0.0540937 | − | 0.0236572i | ||||
\(199\) | −1.85693 | − | 3.21630i | −0.131635 | − | 0.227998i | 0.792672 | − | 0.609648i | \(-0.208689\pi\) |
−0.924307 | + | 0.381650i | \(0.875356\pi\) | |||||||
\(200\) | 2.72743 | + | 4.19060i | 0.192858 | + | 0.296320i | ||||
\(201\) | −18.1989 | + | 3.80551i | −1.28365 | + | 0.268420i | ||||
\(202\) | −3.49788 | −0.246110 | ||||||||
\(203\) | 29.1679 | − | 16.8401i | 2.04718 | − | 1.18194i | ||||
\(204\) | 3.05946 | − | 9.31129i | 0.214205 | − | 0.651921i | ||||
\(205\) | 12.6983 | + | 3.04182i | 0.886889 | + | 0.212450i | ||||
\(206\) | −5.80542 | − | 3.35176i | −0.404483 | − | 0.233528i | ||||
\(207\) | 0.0678298 | − | 0.606775i | 0.00471450 | − | 0.0421738i | ||||
\(208\) | 0.837680 | 0.0580827 | ||||||||
\(209\) | −1.06644 | + | 0.565487i | −0.0737669 | + | 0.0391156i | ||||
\(210\) | 8.41738 | − | 13.6500i | 0.580854 | − | 0.941942i | ||||
\(211\) | 1.72302 | + | 0.994784i | 0.118617 | + | 0.0684837i | 0.558135 | − | 0.829750i | \(-0.311517\pi\) |
−0.439517 | + | 0.898234i | \(0.644851\pi\) | |||||||
\(212\) | −8.06300 | − | 4.65518i | −0.553769 | − | 0.319719i | ||||
\(213\) | −12.9255 | − | 14.4509i | −0.885638 | − | 0.990158i | ||||
\(214\) | 2.95055 | − | 5.11050i | 0.201695 | − | 0.349347i | ||||
\(215\) | −5.81733 | + | 24.2849i | −0.396738 | + | 1.65622i | ||||
\(216\) | −3.01242 | − | 4.23383i | −0.204969 | − | 0.288076i | ||||
\(217\) | −22.9726 | −1.55948 | ||||||||
\(218\) | −5.60593 | − | 9.70976i | −0.379682 | − | 0.657628i | ||||
\(219\) | 8.30767 | − | 7.43073i | 0.561381 | − | 0.502122i | ||||
\(220\) | −0.449384 | − | 0.426018i | −0.0302974 | − | 0.0287221i | ||||
\(221\) | 4.74013 | 0.318855 | ||||||||
\(222\) | −2.37981 | + | 2.12860i | −0.159722 | + | 0.142862i | ||||
\(223\) | −11.2416 | + | 19.4711i | −0.752794 | + | 1.30388i | 0.193669 | + | 0.981067i | \(0.437961\pi\) |
−0.946463 | + | 0.322811i | \(0.895372\pi\) | |||||||
\(224\) | 2.07033 | + | 3.58592i | 0.138330 | + | 0.239594i | ||||
\(225\) | 14.9748 | + | 0.868844i | 0.998321 | + | 0.0579229i | ||||
\(226\) | 1.31505 | − | 2.27774i | 0.0874759 | − | 0.151513i | ||||
\(227\) | 28.1102i | 1.86574i | 0.360216 | + | 0.932869i | \(0.382703\pi\) | ||||
−0.360216 | + | 0.932869i | \(0.617297\pi\) | |||||||
\(228\) | 4.82725 | + | 5.80497i | 0.319692 | + | 0.384444i | ||||
\(229\) | −22.6293 | −1.49538 | −0.747692 | − | 0.664046i | \(-0.768838\pi\) | ||||
−0.747692 | + | 0.664046i | \(0.768838\pi\) | |||||||
\(230\) | −0.436275 | + | 0.129470i | −0.0287671 | + | 0.00853701i | ||||
\(231\) | −0.619961 | + | 1.88682i | −0.0407905 | + | 0.124143i | ||||
\(232\) | −7.04425 | + | 4.06700i | −0.462478 | + | 0.267012i | ||||
\(233\) | −9.37752 | + | 16.2423i | −0.614342 | + | 1.06407i | 0.376158 | + | 0.926556i | \(0.377245\pi\) |
−0.990500 | + | 0.137515i | \(0.956088\pi\) | |||||||
\(234\) | 1.49053 | − | 2.02329i | 0.0974387 | − | 0.132267i | ||||
\(235\) | −18.1528 | + | 19.1484i | −1.18416 | + | 1.24911i | ||||
\(236\) | 3.89954 | 0.253838 | ||||||||
\(237\) | −20.9193 | + | 18.7110i | −1.35885 | + | 1.21541i | ||||
\(238\) | 11.7152 | + | 20.2914i | 0.759386 | + | 1.31530i | ||||
\(239\) | 9.41201i | 0.608812i | 0.952542 | + | 0.304406i | \(0.0984580\pi\) | ||||
−0.952542 | + | 0.304406i | \(0.901542\pi\) | |||||||
\(240\) | −2.03286 | + | 3.29659i | −0.131220 | + | 0.212794i | ||||
\(241\) | 6.84761 | − | 3.95347i | 0.441093 | − | 0.254665i | −0.262968 | − | 0.964805i | \(-0.584701\pi\) |
0.704061 | + | 0.710139i | \(0.251368\pi\) | |||||||
\(242\) | −9.45987 | − | 5.46166i | −0.608103 | − | 0.351089i | ||||
\(243\) | −15.5863 | − | 0.257413i | −0.999864 | − | 0.0165130i | ||||
\(244\) | 2.56141 | − | 4.43650i | 0.163978 | − | 0.284018i | ||||
\(245\) | 6.45388 | + | 21.7476i | 0.412323 | + | 1.38940i | ||||
\(246\) | 2.07020 | + | 9.90022i | 0.131991 | + | 0.631215i | ||||
\(247\) | −1.93843 | + | 3.09434i | −0.123339 | + | 0.196888i | ||||
\(248\) | 5.54805 | 0.352301 | ||||||||
\(249\) | −0.812217 | + | 2.47194i | −0.0514721 | + | 0.156653i | ||||
\(250\) | −3.74804 | − | 10.5334i | −0.237047 | − | 0.666190i | ||||
\(251\) | 11.6568 | − | 6.73004i | 0.735769 | − | 0.424796i | −0.0847602 | − | 0.996401i | \(-0.527012\pi\) |
0.820529 | + | 0.571605i | \(0.193679\pi\) | |||||||
\(252\) | 12.3451 | + | 1.38003i | 0.777667 | + | 0.0869334i | ||||
\(253\) | 0.0488085 | − | 0.0281796i | 0.00306857 | − | 0.00177164i | ||||
\(254\) | 6.29189i | 0.394788i | ||||||||
\(255\) | −11.5032 | + | 18.6542i | −0.720359 | + | 1.16817i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −12.2806 | + | 7.09019i | −0.766040 | + | 0.442274i | −0.831460 | − | 0.555584i | \(-0.812495\pi\) |
0.0654199 | + | 0.997858i | \(0.479161\pi\) | |||||||
\(258\) | −18.9337 | + | 3.95917i | −1.17876 | + | 0.246487i | ||||
\(259\) | − | 7.63291i | − | 0.474286i | ||||||
\(260\) | −1.82158 | − | 0.436349i | −0.112969 | − | 0.0270612i | ||||
\(261\) | −2.71095 | + | 24.2510i | −0.167804 | + | 1.50110i | ||||
\(262\) | −0.252602 | − | 0.437520i | −0.0156058 | − | 0.0270301i | ||||
\(263\) | 0.000326808 | 0 | 0.000566048i | 2.01518e−5 | 0 | 3.49040e-5i | −0.866015 | − | 0.500017i | \(-0.833327\pi\) |
0.866035 | + | 0.499983i | \(0.166660\pi\) | |||||||
\(264\) | 0.149725 | − | 0.455680i | 0.00921495 | − | 0.0280452i | ||||
\(265\) | 15.1085 | + | 14.3229i | 0.928108 | + | 0.879851i | ||||
\(266\) | −18.0370 | − | 0.650304i | −1.10592 | − | 0.0398727i | ||||
\(267\) | 11.1115 | − | 2.32350i | 0.680014 | − | 0.142196i | ||||
\(268\) | −5.36719 | + | 9.29624i | −0.327853 | + | 0.567858i | ||||
\(269\) | 2.56468 | − | 4.44215i | 0.156371 | − | 0.270843i | −0.777186 | − | 0.629270i | \(-0.783354\pi\) |
0.933557 | + | 0.358428i | \(0.116687\pi\) | |||||||
\(270\) | 4.34525 | + | 10.7758i | 0.264443 | + | 0.655797i | ||||
\(271\) | 1.83855 | − | 3.18447i | 0.111684 | − | 0.193443i | −0.804765 | − | 0.593593i | \(-0.797709\pi\) |
0.916449 | + | 0.400151i | \(0.131042\pi\) | |||||||
\(272\) | −2.82932 | − | 4.90052i | −0.171553 | − | 0.297138i | ||||
\(273\) | 1.22966 | + | 5.88051i | 0.0744222 | + | 0.355905i | ||||
\(274\) | − | 0.0663784i | − | 0.00401007i | ||||||
\(275\) | 0.755293 | + | 1.16048i | 0.0455459 | + | 0.0699797i | ||||
\(276\) | −0.235005 | − | 0.262739i | −0.0141456 | − | 0.0158150i | ||||
\(277\) | 25.8215i | 1.55146i | 0.631064 | + | 0.775731i | \(0.282619\pi\) | ||||
−0.631064 | + | 0.775731i | \(0.717381\pi\) | |||||||
\(278\) | − | 1.17792i | − | 0.0706468i | ||||||
\(279\) | 9.87191 | − | 13.4005i | 0.591016 | − | 0.802266i | ||||
\(280\) | −2.63412 | − | 8.87619i | −0.157419 | − | 0.530454i | ||||
\(281\) | −4.30234 | − | 7.45188i | −0.256656 | − | 0.444542i | 0.708688 | − | 0.705522i | \(-0.249288\pi\) |
−0.965344 | + | 0.260980i | \(0.915954\pi\) | |||||||
\(282\) | −19.4167 | − | 6.37986i | −1.15625 | − | 0.379915i | ||||
\(283\) | −12.9655 | − | 7.48566i | −0.770722 | − | 0.444976i | 0.0624104 | − | 0.998051i | \(-0.480121\pi\) |
−0.833132 | + | 0.553074i | \(0.813455\pi\) | |||||||
\(284\) | −11.1937 | −0.664223 | ||||||||
\(285\) | −7.47326 | − | 15.1377i | −0.442678 | − | 0.896681i | ||||
\(286\) | 0.231975 | 0.0137169 | ||||||||
\(287\) | −20.9400 | − | 12.0897i | −1.23605 | − | 0.713634i | ||||
\(288\) | −2.98143 | − | 0.333286i | −0.175682 | − | 0.0196391i | ||||
\(289\) | −7.51008 | − | 13.0078i | −0.441769 | − | 0.765167i | ||||
\(290\) | 17.4366 | − | 5.17453i | 1.02391 | − | 0.303859i | ||||
\(291\) | −7.50305 | − | 8.38853i | −0.439836 | − | 0.491744i | ||||
\(292\) | − | 6.43514i | − | 0.376588i | ||||||
\(293\) | − | 9.99594i | − | 0.583969i | −0.956423 | − | 0.291984i | \(-0.905684\pi\) | ||
0.956423 | − | 0.291984i | \(-0.0943155\pi\) | |||||||
\(294\) | −13.0971 | + | 11.7146i | −0.763840 | + | 0.683210i | ||||
\(295\) | −8.47974 | − | 2.03128i | −0.493709 | − | 0.118265i | ||||
\(296\) | 1.84341i | 0.107146i | ||||||||
\(297\) | −0.834214 | − | 1.17245i | −0.0484060 | − | 0.0680327i | ||||
\(298\) | −3.35370 | − | 5.80877i | −0.194274 | − | 0.336493i | ||||
\(299\) | 0.0852415 | − | 0.147643i | 0.00492965 | − | 0.00853840i | ||||
\(300\) | 6.13775 | − | 6.10967i | 0.354363 | − | 0.352742i | ||||
\(301\) | 23.1210 | − | 40.0468i | 1.33267 | − | 2.30826i | ||||
\(302\) | 5.84059 | − | 10.1162i | 0.336088 | − | 0.582122i | ||||
\(303\) | 1.24006 | + | 5.93025i | 0.0712394 | + | 0.340684i | ||||
\(304\) | 4.35607 | + | 0.157053i | 0.249838 | + | 0.00900762i | ||||
\(305\) | −7.88090 | + | 8.31314i | −0.451259 | + | 0.476009i | ||||
\(306\) | −16.8708 | − | 1.88595i | −0.964441 | − | 0.107812i | ||||
\(307\) | 14.4133 | − | 24.9645i | 0.822608 | − | 1.42480i | −0.0811250 | − | 0.996704i | \(-0.525851\pi\) |
0.903733 | − | 0.428096i | \(-0.140815\pi\) | |||||||
\(308\) | 0.573326 | + | 0.993030i | 0.0326683 | + | 0.0565831i | ||||
\(309\) | −3.62440 | + | 11.0307i | −0.206185 | + | 0.627512i | ||||
\(310\) | −12.0645 | − | 2.88999i | −0.685217 | − | 0.164140i | ||||
\(311\) | 19.0823i | 1.08206i | 0.841003 | + | 0.541030i | \(0.181966\pi\) | ||||
−0.841003 | + | 0.541030i | \(0.818034\pi\) | |||||||
\(312\) | −0.296971 | − | 1.42019i | −0.0168127 | − | 0.0804023i | ||||
\(313\) | 12.6849 | − | 7.32365i | 0.716995 | − | 0.413957i | −0.0966505 | − | 0.995318i | \(-0.530813\pi\) |
0.813646 | + | 0.581361i | \(0.197480\pi\) | |||||||
\(314\) | −0.0665981 | − | 0.115351i | −0.00375835 | − | 0.00650965i | ||||
\(315\) | −26.1261 | − | 9.43151i | −1.47204 | − | 0.531405i | ||||
\(316\) | 16.2041i | 0.911552i | ||||||||
\(317\) | −2.79008 | + | 1.61085i | −0.156706 | + | 0.0904744i | −0.576303 | − | 0.817236i | \(-0.695505\pi\) |
0.419596 | + | 0.907711i | \(0.362172\pi\) | |||||||
\(318\) | −5.03384 | + | 15.3202i | −0.282284 | + | 0.859114i | ||||
\(319\) | −1.95073 | + | 1.12625i | −0.109220 | + | 0.0630581i | ||||
\(320\) | 0.636160 | + | 2.14367i | 0.0355624 | + | 0.119835i | ||||
\(321\) | −9.71027 | − | 3.19055i | −0.541974 | − | 0.178079i | ||||
\(322\) | 0.842699 | 0.0469618 | ||||||||
\(323\) | 24.6494 | + | 0.888707i | 1.37153 | + | 0.0494490i | ||||
\(324\) | −6.11001 | + | 6.60816i | −0.339445 | + | 0.367120i | ||||
\(325\) | 3.73381 | + | 1.89772i | 0.207115 | + | 0.105267i | ||||
\(326\) | 2.20244 | − | 3.81474i | 0.121982 | − | 0.211279i | ||||
\(327\) | −14.4743 | + | 12.9465i | −0.800433 | + | 0.715941i | ||||
\(328\) | 5.05717 | + | 2.91976i | 0.279236 | + | 0.161217i | ||||
\(329\) | 42.3134 | − | 24.4297i | 2.33282 | − | 1.34685i | ||||
\(330\) | −0.562950 | + | 0.912907i | −0.0309894 | + | 0.0502539i | ||||
\(331\) | − | 12.4330i | − | 0.683377i | −0.939813 | − | 0.341689i | \(-0.889001\pi\) | ||
0.939813 | − | 0.341689i | \(-0.110999\pi\) | |||||||
\(332\) | 0.751119 | + | 1.30098i | 0.0412230 | + | 0.0714004i | ||||
\(333\) | 4.45247 | + | 3.28006i | 0.243994 | + | 0.179746i | ||||
\(334\) | −6.97119 | −0.381447 | ||||||||
\(335\) | 16.5136 | − | 17.4194i | 0.902236 | − | 0.951721i | ||||
\(336\) | 5.34553 | − | 4.78126i | 0.291623 | − | 0.260839i | ||||
\(337\) | 0.671895 | − | 1.16376i | 0.0366005 | − | 0.0633939i | −0.847145 | − | 0.531362i | \(-0.821680\pi\) |
0.883745 | + | 0.467968i | \(0.155014\pi\) | |||||||
\(338\) | −10.6506 | + | 6.14915i | −0.579318 | + | 0.334469i | ||||
\(339\) | −4.32784 | − | 1.42202i | −0.235056 | − | 0.0772335i | ||||
\(340\) | 3.59980 | + | 12.1302i | 0.195227 | + | 0.657854i | ||||
\(341\) | 1.53639 | 0.0832003 | ||||||||
\(342\) | 8.13031 | − | 10.2420i | 0.439637 | − | 0.553823i | ||||
\(343\) | − | 13.0226i | − | 0.703155i | ||||||
\(344\) | −5.58390 | + | 9.67160i | −0.301064 | + | 0.521458i | ||||
\(345\) | 0.374168 | + | 0.693753i | 0.0201445 | + | 0.0373504i | ||||
\(346\) | −11.9847 | − | 20.7581i | −0.644302 | − | 1.11596i | ||||
\(347\) | 11.9747 | − | 20.7407i | 0.642834 | − | 1.11342i | −0.341963 | − | 0.939713i | \(-0.611092\pi\) |
0.984797 | − | 0.173708i | \(-0.0555748\pi\) | |||||||
\(348\) | 9.39242 | + | 10.5009i | 0.503487 | + | 0.562906i | ||||
\(349\) | −29.4972 | −1.57895 | −0.789474 | − | 0.613784i | \(-0.789646\pi\) | ||||
−0.789474 | + | 0.613784i | \(0.789646\pi\) | |||||||
\(350\) | 1.10441 | + | 20.6738i | 0.0590331 | + | 1.10506i | ||||
\(351\) | −3.95867 | − | 1.80972i | −0.211298 | − | 0.0965957i | ||||
\(352\) | −0.138462 | − | 0.239824i | −0.00738008 | − | 0.0127827i | ||||
\(353\) | −29.0595 | −1.54668 | −0.773339 | − | 0.633992i | \(-0.781415\pi\) | ||||
−0.773339 | + | 0.633992i | \(0.781415\pi\) | |||||||
\(354\) | −1.38245 | − | 6.61121i | −0.0734764 | − | 0.351382i | ||||
\(355\) | 24.3412 | + | 5.83081i | 1.29190 | + | 0.309467i | ||||
\(356\) | 3.27700 | − | 5.67592i | 0.173680 | − | 0.300823i | ||||
\(357\) | 30.2484 | − | 27.0554i | 1.60092 | − | 1.43193i | ||||
\(358\) | 11.2818 | + | 6.51358i | 0.596264 | + | 0.344253i | ||||
\(359\) | 29.7773 | + | 17.1919i | 1.57159 | + | 0.907356i | 0.995975 | + | 0.0896318i | \(0.0285690\pi\) |
0.575611 | + | 0.817724i | \(0.304764\pi\) | |||||||
\(360\) | 6.30965 | + | 2.27778i | 0.332548 | + | 0.120049i | ||||
\(361\) | −10.6603 | + | 15.7276i | −0.561068 | + | 0.827770i | ||||
\(362\) | 15.0743 | 0.792285 | ||||||||
\(363\) | −5.90592 | + | 17.9743i | −0.309980 | + | 0.943408i | ||||
\(364\) | 3.00385 | + | 1.73427i | 0.157445 | + | 0.0909007i | ||||
\(365\) | −3.35208 | + | 13.9935i | −0.175456 | + | 0.732455i | ||||
\(366\) | −8.42962 | − | 2.76976i | −0.440623 | − | 0.144778i | ||||
\(367\) | 9.51432 | − | 5.49310i | 0.496644 | − | 0.286737i | −0.230683 | − | 0.973029i | \(-0.574096\pi\) |
0.727326 | + | 0.686292i | \(0.240763\pi\) | |||||||
\(368\) | −0.203518 | −0.0106091 | ||||||||
\(369\) | 16.0507 | − | 7.01957i | 0.835567 | − | 0.365424i | ||||
\(370\) | 0.960233 | − | 4.00857i | 0.0499201 | − | 0.208396i | ||||
\(371\) | −19.2755 | − | 33.3861i | −1.00073 | − | 1.73332i | ||||
\(372\) | −1.96687 | − | 9.40606i | −0.101978 | − | 0.487681i | ||||
\(373\) | −2.18309 | −0.113036 | −0.0565180 | − | 0.998402i | \(-0.518000\pi\) | ||||
−0.0565180 | + | 0.998402i | \(0.518000\pi\) | |||||||
\(374\) | −0.783509 | − | 1.35708i | −0.0405143 | − | 0.0701728i | ||||
\(375\) | −16.5294 | + | 10.0886i | −0.853573 | + | 0.520973i | ||||
\(376\) | −10.2190 | + | 5.89995i | −0.527005 | + | 0.304267i | ||||
\(377\) | −3.40685 | + | 5.90083i | −0.175462 | + | 0.303908i | ||||
\(378\) | −2.03686 | − | 21.4189i | −0.104765 | − | 1.10167i | ||||
\(379\) | 9.44771i | 0.485296i | 0.970114 | + | 0.242648i | \(0.0780160\pi\) | ||||
−0.970114 | + | 0.242648i | \(0.921984\pi\) | |||||||
\(380\) | −9.39067 | − | 2.61060i | −0.481731 | − | 0.133921i | ||||
\(381\) | 10.6672 | − | 2.23058i | 0.546495 | − | 0.114276i | ||||
\(382\) | −4.08321 | + | 7.07232i | −0.208915 | + | 0.361851i | ||||
\(383\) | −22.9528 | − | 13.2518i | −1.17283 | − | 0.677136i | −0.218488 | − | 0.975840i | \(-0.570113\pi\) |
−0.954346 | + | 0.298703i | \(0.903446\pi\) | |||||||
\(384\) | −1.29099 | + | 1.15471i | −0.0658803 | + | 0.0589261i | ||||
\(385\) | −0.729454 | − | 2.45804i | −0.0371764 | − | 0.125273i | ||||
\(386\) | −19.1325 | + | 11.0461i | −0.973817 | + | 0.562233i | ||||
\(387\) | 13.4246 | + | 30.6962i | 0.682410 | + | 1.56038i | ||||
\(388\) | −6.49777 | −0.329874 | ||||||||
\(389\) | −30.4555 | + | 17.5835i | −1.54415 | + | 0.891518i | −0.545585 | + | 0.838056i | \(0.683692\pi\) |
−0.998570 | + | 0.0534626i | \(0.982974\pi\) | |||||||
\(390\) | −0.0939998 | + | 3.24296i | −0.00475986 | + | 0.164214i | ||||
\(391\) | −1.15163 | −0.0582407 | ||||||||
\(392\) | 10.1451i | 0.512403i | ||||||||
\(393\) | −0.652211 | + | 0.583365i | −0.0328997 | + | 0.0294269i | ||||
\(394\) | 23.3067 | + | 13.4561i | 1.17417 | + | 0.677909i | ||||
\(395\) | 8.44074 | − | 35.2366i | 0.424700 | − | 1.77295i | ||||
\(396\) | −0.825632 | − | 0.0922953i | −0.0414896 | − | 0.00463801i | ||||
\(397\) | −12.7678 | − | 7.37147i | −0.640796 | − | 0.369963i | 0.144125 | − | 0.989559i | \(-0.453963\pi\) |
−0.784921 | + | 0.619596i | \(0.787296\pi\) | |||||||
\(398\) | 3.71387i | 0.186159i | ||||||||
\(399\) | 5.29189 | + | 30.8101i | 0.264926 | + | 1.54244i | ||||
\(400\) | −0.266723 | − | 4.99288i | −0.0133361 | − | 0.249644i | ||||
\(401\) | 10.0032 | − | 17.3261i | 0.499537 | − | 0.865224i | −0.500462 | − | 0.865758i | \(-0.666837\pi\) |
1.00000 | 0.000534108i | \(0.000170012\pi\) | ||||||||
\(402\) | 17.6634 | + | 5.80376i | 0.880972 | + | 0.289465i | ||||
\(403\) | 4.02484 | − | 2.32374i | 0.200492 | − | 0.115754i | ||||
\(404\) | 3.02926 | + | 1.74894i | 0.150711 | + | 0.0870131i | ||||
\(405\) | 16.7287 | − | 11.1871i | 0.831256 | − | 0.555889i | ||||
\(406\) | −33.6801 | −1.67152 | ||||||||
\(407\) | 0.510485i | 0.0253038i | ||||||||
\(408\) | −7.30522 | + | 6.53409i | −0.361662 | + | 0.323486i | ||||
\(409\) | 6.13313 | − | 3.54097i | 0.303264 | − | 0.175089i | −0.340644 | − | 0.940192i | \(-0.610645\pi\) |
0.643908 | + | 0.765103i | \(0.277312\pi\) | |||||||
\(410\) | −9.47616 | − | 8.98345i | −0.467994 | − | 0.443661i | ||||
\(411\) | −0.112537 | + | 0.0235322i | −0.00555103 | + | 0.00116076i | ||||
\(412\) | 3.35176 | + | 5.80542i | 0.165129 | + | 0.286012i | ||||
\(413\) | 13.9834 | + | 8.07333i | 0.688079 | + | 0.397263i | ||||
\(414\) | −0.362130 | + | 0.491568i | −0.0177977 | + | 0.0241592i | ||||
\(415\) | −0.955665 | − | 3.22030i | −0.0469117 | − | 0.158078i | ||||
\(416\) | −0.725452 | − | 0.418840i | −0.0355682 | − | 0.0205353i | ||||
\(417\) | −1.99702 | + | 0.417591i | −0.0977945 | + | 0.0204495i | ||||
\(418\) | 1.20630 | + | 0.0434920i | 0.0590023 | + | 0.00212726i | ||||
\(419\) | − | 15.8313i | − | 0.773409i | −0.922204 | − | 0.386705i | \(-0.873613\pi\) | ||
0.922204 | − | 0.386705i | \(-0.126387\pi\) | |||||||
\(420\) | −14.1147 | + | 7.61259i | −0.688726 | + | 0.371457i | ||||
\(421\) | 9.83472 | + | 5.67808i | 0.479315 | + | 0.276733i | 0.720131 | − | 0.693838i | \(-0.244082\pi\) |
−0.240816 | + | 0.970571i | \(0.577415\pi\) | |||||||
\(422\) | −0.994784 | − | 1.72302i | −0.0484253 | − | 0.0838751i | ||||
\(423\) | −3.93274 | + | 35.1806i | −0.191217 | + | 1.71054i | ||||
\(424\) | 4.65518 | + | 8.06300i | 0.226075 | + | 0.391574i | ||||
\(425\) | −1.50929 | − | 28.2529i | −0.0732112 | − | 1.37047i | ||||
\(426\) | 3.96834 | + | 18.9776i | 0.192267 | + | 0.919466i | ||||
\(427\) | 18.3700 | − | 10.6059i | 0.888988 | − | 0.513258i | ||||
\(428\) | −5.11050 | + | 2.95055i | −0.247025 | + | 0.142620i | ||||
\(429\) | −0.0822387 | − | 0.393285i | −0.00397052 | − | 0.0189880i | ||||
\(430\) | 17.1804 | − | 18.1227i | 0.828513 | − | 0.873954i | ||||
\(431\) | 6.74460 | + | 11.6820i | 0.324876 | + | 0.562702i | 0.981487 | − | 0.191527i | \(-0.0613441\pi\) |
−0.656611 | + | 0.754229i | \(0.728011\pi\) | |||||||
\(432\) | 0.491917 | + | 5.17282i | 0.0236674 | + | 0.248877i | ||||
\(433\) | −7.19759 | − | 12.4666i | −0.345894 | − | 0.599106i | 0.639622 | − | 0.768690i | \(-0.279091\pi\) |
−0.985516 | + | 0.169584i | \(0.945758\pi\) | |||||||
\(434\) | 19.8948 | + | 11.4863i | 0.954982 | + | 0.551359i | ||||
\(435\) | −14.9543 | − | 27.7272i | −0.717006 | − | 1.32942i | ||||
\(436\) | 11.2119i | 0.536951i | ||||||||
\(437\) | 0.470950 | − | 0.751784i | 0.0225286 | − | 0.0359627i | ||||
\(438\) | −10.9100 | + | 2.28136i | −0.521301 | + | 0.109008i | ||||
\(439\) | −19.8233 | − | 11.4450i | −0.946117 | − | 0.546241i | −0.0542443 | − | 0.998528i | \(-0.517275\pi\) |
−0.891873 | + | 0.452287i | \(0.850608\pi\) | |||||||
\(440\) | 0.176169 | + | 0.593634i | 0.00839851 | + | 0.0283004i | ||||
\(441\) | 24.5039 | + | 18.0516i | 1.16685 | + | 0.859600i | ||||
\(442\) | −4.10507 | − | 2.37006i | −0.195258 | − | 0.112732i | ||||
\(443\) | 2.22771 | + | 3.85851i | 0.105842 | + | 0.183324i | 0.914082 | − | 0.405530i | \(-0.132913\pi\) |
−0.808240 | + | 0.588853i | \(0.799580\pi\) | |||||||
\(444\) | 3.12527 | − | 0.653517i | 0.148319 | − | 0.0310145i | ||||
\(445\) | −10.0826 | + | 10.6356i | −0.477960 | + | 0.504175i | ||||
\(446\) | 19.4711 | − | 11.2416i | 0.921981 | − | 0.532306i | ||||
\(447\) | −8.65914 | + | 7.74510i | −0.409563 | + | 0.366330i | ||||
\(448\) | − | 4.14066i | − | 0.195628i | ||||||
\(449\) | −22.9854 | −1.08475 | −0.542375 | − | 0.840137i | \(-0.682475\pi\) | ||||
−0.542375 | + | 0.840137i | \(0.682475\pi\) | |||||||
\(450\) | −12.5341 | − | 8.23985i | −0.590865 | − | 0.388430i | ||||
\(451\) | 1.40046 | + | 0.808555i | 0.0659450 | + | 0.0380733i | ||||
\(452\) | −2.27774 | + | 1.31505i | −0.107136 | + | 0.0618548i | ||||
\(453\) | −19.2214 | − | 6.31567i | −0.903100 | − | 0.296736i | ||||
\(454\) | 14.0551 | − | 24.3441i | 0.659638 | − | 1.14253i | ||||
\(455\) | −5.62863 | − | 5.33597i | −0.263874 | − | 0.250154i | ||||
\(456\) | −1.27803 | − | 7.44088i | −0.0598493 | − | 0.348451i | ||||
\(457\) | − | 13.1695i | − | 0.616045i | −0.951379 | − | 0.308022i | \(-0.900333\pi\) | ||
0.951379 | − | 0.308022i | \(-0.0996672\pi\) | |||||||
\(458\) | 19.5975 | + | 11.3146i | 0.915732 | + | 0.528698i | ||||
\(459\) | 2.78358 | + | 29.2711i | 0.129926 | + | 1.36626i | ||||
\(460\) | 0.442560 | + | 0.106013i | 0.0206345 | + | 0.00494288i | ||||
\(461\) | 12.4399 | + | 7.18219i | 0.579385 | + | 0.334508i | 0.760889 | − | 0.648882i | \(-0.224763\pi\) |
−0.181504 | + | 0.983390i | \(0.558097\pi\) | |||||||
\(462\) | 1.48031 | − | 1.32405i | 0.0688703 | − | 0.0616004i | ||||
\(463\) | − | 29.1669i | − | 1.35550i | −0.735292 | − | 0.677750i | \(-0.762955\pi\) | ||
0.735292 | − | 0.677750i | \(-0.237045\pi\) | |||||||
\(464\) | 8.13400 | 0.377612 | ||||||||
\(465\) | −0.622571 | + | 21.4785i | −0.0288710 | + | 0.996040i | ||||
\(466\) | 16.2423 | − | 9.37752i | 0.752412 | − | 0.434405i | ||||
\(467\) | 29.0053 | 1.34221 | 0.671103 | − | 0.741364i | \(-0.265821\pi\) | ||||
0.671103 | + | 0.741364i | \(0.265821\pi\) | |||||||
\(468\) | −2.30248 | + | 1.00696i | −0.106432 | + | 0.0465467i | ||||
\(469\) | −38.4926 | + | 22.2237i | −1.77742 | + | 1.02619i | ||||
\(470\) | 25.2950 | − | 7.50663i | 1.16677 | − | 0.346255i | ||||
\(471\) | −0.171954 | + | 0.153803i | −0.00792324 | + | 0.00708687i | ||||
\(472\) | −3.37710 | − | 1.94977i | −0.155444 | − | 0.0897454i | ||||
\(473\) | −1.54632 | + | 2.67831i | −0.0711000 | + | 0.123149i | ||||
\(474\) | 27.4721 | − | 5.74461i | 1.26184 | − | 0.263859i | ||||
\(475\) | 19.0606 | + | 10.5685i | 0.874561 | + | 0.484916i | ||||
\(476\) | − | 23.4305i | − | 1.07393i | ||||||
\(477\) | 27.7582 | + | 3.10301i | 1.27096 | + | 0.142077i | ||||
\(478\) | 4.70600 | − | 8.15104i | 0.215248 | − | 0.372820i | ||||
\(479\) | −22.9576 | + | 13.2546i | −1.04896 | + | 0.605617i | −0.922358 | − | 0.386336i | \(-0.873740\pi\) |
−0.126602 | + | 0.991954i | \(0.540407\pi\) | |||||||
\(480\) | 3.40880 | − | 1.83850i | 0.155590 | − | 0.0839156i | ||||
\(481\) | 0.772092 | + | 1.33730i | 0.0352044 | + | 0.0609757i | ||||
\(482\) | −7.90693 | −0.360151 | ||||||||
\(483\) | −0.298750 | − | 1.42870i | −0.0135936 | − | 0.0650079i | ||||
\(484\) | 5.46166 | + | 9.45987i | 0.248257 | + | 0.429994i | ||||
\(485\) | 14.1297 | + | 3.38470i | 0.641598 | + | 0.153691i | ||||
\(486\) | 13.3695 | + | 8.01609i | 0.606451 | + | 0.363617i | ||||
\(487\) | 11.6600 | 0.528366 | 0.264183 | − | 0.964473i | \(-0.414898\pi\) | ||||
0.264183 | + | 0.964473i | \(0.414898\pi\) | |||||||
\(488\) | −4.43650 | + | 2.56141i | −0.200831 | + | 0.115950i | ||||
\(489\) | −7.24823 | − | 2.38159i | −0.327776 | − | 0.107699i | ||||
\(490\) | 5.28458 | − | 22.0609i | 0.238733 | − | 0.996611i | ||||
\(491\) | 0.670228 | + | 0.386956i | 0.0302470 | + | 0.0174631i | 0.515047 | − | 0.857162i | \(-0.327774\pi\) |
−0.484800 | + | 0.874625i | \(0.661108\pi\) | |||||||
\(492\) | 3.15726 | − | 9.60894i | 0.142340 | − | 0.433204i | ||||
\(493\) | 46.0274 | 2.07297 | ||||||||
\(494\) | 3.22590 | − | 1.71056i | 0.145140 | − | 0.0769618i | ||||
\(495\) | 1.74730 | + | 0.630774i | 0.0785353 | + | 0.0283512i | ||||
\(496\) | −4.80475 | − | 2.77402i | −0.215740 | − | 0.124557i | ||||
\(497\) | −40.1396 | − | 23.1746i | −1.80051 | − | 1.03952i | ||||
\(498\) | 1.93937 | − | 1.73465i | 0.0869052 | − | 0.0777316i | ||||
\(499\) | 5.69523 | − | 9.86443i | 0.254953 | − | 0.441592i | −0.709929 | − | 0.704273i | \(-0.751273\pi\) |
0.964883 | + | 0.262680i | \(0.0846065\pi\) | |||||||
\(500\) | −2.02080 | + | 10.9962i | −0.0903728 | + | 0.491765i | ||||
\(501\) | 2.47140 | + | 11.8188i | 0.110414 | + | 0.528027i | ||||
\(502\) | −13.4601 | −0.600753 | ||||||||
\(503\) | 15.2932 | + | 26.4887i | 0.681892 | + | 1.18107i | 0.974403 | + | 0.224809i | \(0.0721759\pi\) |
−0.292511 | + | 0.956262i | \(0.594491\pi\) | |||||||
\(504\) | −10.0011 | − | 7.36768i | −0.445486 | − | 0.328182i | ||||
\(505\) | −5.67624 | − | 5.38110i | −0.252589 | − | 0.239456i | ||||
\(506\) | −0.0563593 | −0.00250547 | ||||||||
\(507\) | 14.2010 | + | 15.8769i | 0.630687 | + | 0.705119i | ||||
\(508\) | 3.14595 | − | 5.44894i | 0.139579 | − | 0.241758i | ||||
\(509\) | 11.0074 | + | 19.0654i | 0.487894 | + | 0.845058i | 0.999903 | − | 0.0139223i | \(-0.00443174\pi\) |
−0.512009 | + | 0.858980i | \(0.671098\pi\) | |||||||
\(510\) | 19.2892 | − | 10.4034i | 0.854138 | − | 0.460670i | ||||
\(511\) | 13.3229 | − | 23.0759i | 0.589369 | − | 1.02082i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −20.2464 | − | 10.1530i | −0.893900 | − | 0.448267i | ||||
\(514\) | 14.1804 | 0.625469 | ||||||||
\(515\) | −4.26451 | − | 14.3701i | −0.187917 | − | 0.633222i | ||||
\(516\) | 18.3766 | + | 6.03810i | 0.808986 | + | 0.265813i | ||||
\(517\) | −2.82990 | + | 1.63384i | −0.124459 | + | 0.0718563i | ||||
\(518\) | −3.81646 | + | 6.61030i | −0.167685 | + | 0.290440i | ||||
\(519\) | −30.9442 | + | 27.6777i | −1.35830 | + | 1.21492i | ||||
\(520\) | 1.35936 | + | 1.28868i | 0.0596117 | + | 0.0565122i | ||||
\(521\) | −24.9351 | −1.09243 | −0.546214 | − | 0.837646i | \(-0.683931\pi\) | ||||
−0.546214 | + | 0.837646i | \(0.683931\pi\) | |||||||
\(522\) | 14.4732 | − | 19.6465i | 0.633476 | − | 0.859902i | ||||
\(523\) | −8.63200 | − | 14.9511i | −0.377451 | − | 0.653764i | 0.613240 | − | 0.789897i | \(-0.289866\pi\) |
−0.990691 | + | 0.136133i | \(0.956533\pi\) | |||||||
\(524\) | 0.505204i | 0.0220700i | ||||||||
\(525\) | 34.6585 | − | 9.20159i | 1.51262 | − | 0.401591i | ||||
\(526\) | −0.000566048 | 0 | 0.000326808i | −2.46809e−5 | 0 | 1.42495e-5i | ||||
\(527\) | −27.1883 | − | 15.6972i | −1.18434 | − | 0.683780i | ||||
\(528\) | −0.357506 | + | 0.319768i | −0.0155585 | + | 0.0139161i | ||||
\(529\) | 11.4793 | − | 19.8827i | 0.499100 | − | 0.864466i | ||||
\(530\) | −5.92288 | − | 19.9583i | −0.257273 | − | 0.866932i | ||||
\(531\) | −10.7184 | + | 4.68756i | −0.465140 | + | 0.203423i | ||||
\(532\) | 15.2953 | + | 9.58168i | 0.663137 | + | 0.415418i | ||||
\(533\) | 4.89165 | 0.211881 | ||||||||
\(534\) | −10.7846 | − | 3.54355i | −0.466695 | − | 0.153344i | ||||
\(535\) | 12.6500 | − | 3.75405i | 0.546906 | − | 0.162302i | ||||
\(536\) | 9.29624 | − | 5.36719i | 0.401537 | − | 0.231827i | ||||
\(537\) | 7.04340 | − | 21.4362i | 0.303945 | − | 0.925040i | ||||
\(538\) | −4.44215 | + | 2.56468i | −0.191515 | + | 0.110571i | ||||
\(539\) | 2.80942i | 0.121010i | ||||||||
\(540\) | 1.62483 | − | 11.5048i | 0.0699216 | − | 0.495087i | ||||
\(541\) | 1.98420 | + | 3.43673i | 0.0853073 | + | 0.147757i | 0.905522 | − | 0.424299i | \(-0.139479\pi\) |
−0.820215 | + | 0.572056i | \(0.806146\pi\) | |||||||
\(542\) | −3.18447 | + | 1.83855i | −0.136785 | + | 0.0789726i | ||||
\(543\) | −5.34407 | − | 25.5566i | −0.229336 | − | 1.09674i | ||||
\(544\) | 5.65864i | 0.242612i | ||||||||
\(545\) | 5.84028 | − | 24.3807i | 0.250170 | − | 1.04436i | ||||
\(546\) | 1.87534 | − | 5.70750i | 0.0802572 | − | 0.244258i | ||||
\(547\) | −1.00884 | − | 1.74735i | −0.0431347 | − | 0.0747115i | 0.843652 | − | 0.536890i | \(-0.180401\pi\) |
−0.886787 | + | 0.462179i | \(0.847068\pi\) | |||||||
\(548\) | −0.0331892 | + | 0.0574854i | −0.00141777 | + | 0.00245566i | ||||
\(549\) | −1.70737 | + | 15.2734i | −0.0728687 | + | 0.651851i | ||||
\(550\) | −0.0738622 | − | 1.38265i | −0.00314949 | − | 0.0589565i | ||||
\(551\) | −18.8225 | + | 30.0465i | −0.801864 | + | 1.28002i | ||||
\(552\) | 0.0721505 | + | 0.345041i | 0.00307093 | + | 0.0146859i | ||||
\(553\) | −33.5478 | + | 58.1065i | −1.42660 | + | 2.47094i | ||||
\(554\) | 12.9107 | − | 22.3621i | 0.548525 | − | 0.950073i | ||||
\(555\) | −7.13648 | − | 0.206857i | −0.302927 | − | 0.00878057i | ||||
\(556\) | −0.588959 | + | 1.02011i | −0.0249774 | + | 0.0432622i | ||||
\(557\) | −12.2671 | − | 21.2472i | −0.519773 | − | 0.900274i | −0.999736 | − | 0.0229846i | \(-0.992683\pi\) |
0.479963 | − | 0.877289i | \(-0.340650\pi\) | |||||||
\(558\) | −15.2496 | + | 6.66920i | −0.645566 | + | 0.282330i | ||||
\(559\) | 9.35505i | 0.395676i | ||||||||
\(560\) | −2.15688 | + | 9.00406i | −0.0911446 | + | 0.380491i | ||||
\(561\) | −2.02300 | + | 1.80945i | −0.0854110 | + | 0.0763951i | ||||
\(562\) | 8.60469i | 0.362967i | ||||||||
\(563\) | − | 27.1996i | − | 1.14633i | −0.819441 | − | 0.573164i | \(-0.805716\pi\) | ||
0.819441 | − | 0.573164i | \(-0.194284\pi\) | |||||||
\(564\) | 13.6255 | + | 15.2335i | 0.573736 | + | 0.641446i | ||||
\(565\) | 5.63806 | − | 1.67317i | 0.237195 | − | 0.0703907i | ||||
\(566\) | 7.48566 | + | 12.9655i | 0.314646 | + | 0.544982i | ||||
\(567\) | −35.5910 | + | 11.0466i | −1.49468 | + | 0.463913i | ||||
\(568\) | 9.69401 | + | 5.59684i | 0.406752 | + | 0.234838i | ||||
\(569\) | 14.1549 | 0.593405 | 0.296702 | − | 0.954970i | \(-0.404113\pi\) | ||||
0.296702 | + | 0.954970i | \(0.404113\pi\) | |||||||
\(570\) | −1.09682 | + | 16.8463i | −0.0459408 | + | 0.705613i | ||||
\(571\) | 29.8156 | 1.24774 | 0.623871 | − | 0.781527i | \(-0.285559\pi\) | ||||
0.623871 | + | 0.781527i | \(0.285559\pi\) | |||||||
\(572\) | −0.200896 | − | 0.115987i | −0.00839988 | − | 0.00484967i | ||||
\(573\) | 13.4378 | + | 4.41534i | 0.561374 | + | 0.184454i | ||||
\(574\) | 12.0897 | + | 20.9400i | 0.504616 | + | 0.874020i | ||||
\(575\) | −0.907146 | − | 0.461060i | −0.0378306 | − | 0.0192276i | ||||
\(576\) | 2.41535 | + | 1.77935i | 0.100640 | + | 0.0741395i | ||||
\(577\) | 10.8282i | 0.450785i | 0.974268 | + | 0.225393i | \(0.0723665\pi\) | ||||
−0.974268 | + | 0.225393i | \(0.927634\pi\) | |||||||
\(578\) | 15.0202i | 0.624756i | ||||||||
\(579\) | 25.5102 | + | 28.5208i | 1.06017 | + | 1.18528i | ||||
\(580\) | −17.6878 | − | 4.23702i | −0.734445 | − | 0.175932i | ||||
\(581\) | 6.22026i | 0.258060i | ||||||||
\(582\) | 2.30356 | + | 11.0162i | 0.0954858 | + | 0.456636i | ||||
\(583\) | 1.28913 | + | 2.23285i | 0.0533905 | + | 0.0924751i | ||||
\(584\) | −3.21757 | + | 5.57300i | −0.133144 | + | 0.230612i | ||||
\(585\) | 5.53138 | − | 0.990316i | 0.228694 | − | 0.0409445i | ||||
\(586\) | −4.99797 | + | 8.65674i | −0.206464 | + | 0.357606i | ||||
\(587\) | −7.46457 | + | 12.9290i | −0.308096 | + | 0.533638i | −0.977946 | − | 0.208859i | \(-0.933025\pi\) |
0.669850 | + | 0.742496i | \(0.266358\pi\) | |||||||
\(588\) | 17.1997 | − | 3.59659i | 0.709306 | − | 0.148321i | ||||
\(589\) | 21.3655 | − | 11.3292i | 0.880350 | − | 0.466813i | ||||
\(590\) | 6.32803 | + | 5.99901i | 0.260521 | + | 0.246975i | ||||
\(591\) | 14.5507 | − | 44.2841i | 0.598534 | − | 1.82160i | ||||
\(592\) | 0.921703 | − | 1.59644i | 0.0378817 | − | 0.0656131i | ||||
\(593\) | −16.9851 | − | 29.4191i | −0.697494 | − | 1.20810i | −0.969333 | − | 0.245753i | \(-0.920965\pi\) |
0.271838 | − | 0.962343i | \(-0.412368\pi\) | |||||||
\(594\) | 0.136224 | + | 1.43248i | 0.00558934 | + | 0.0587754i | ||||
\(595\) | −12.2050 | + | 50.9507i | −0.500355 | + | 2.08878i | ||||
\(596\) | 6.70739i | 0.274745i | ||||||||
\(597\) | 6.29642 | − | 1.31663i | 0.257695 | − | 0.0538859i | ||||
\(598\) | −0.147643 | + | 0.0852415i | −0.00603756 | + | 0.00348579i | ||||
\(599\) | 18.2404 | + | 31.5932i | 0.745281 | + | 1.29086i | 0.950063 | + | 0.312057i | \(0.101018\pi\) |
−0.204782 | + | 0.978808i | \(0.565649\pi\) | |||||||
\(600\) | −8.37028 | + | 2.22225i | −0.341715 | + | 0.0907231i | ||||
\(601\) | 6.32670i | 0.258072i | 0.991640 | + | 0.129036i | \(0.0411882\pi\) | ||||
−0.991640 | + | 0.129036i | \(0.958812\pi\) | |||||||
\(602\) | −40.0468 | + | 23.1210i | −1.63219 | + | 0.942343i | ||||
\(603\) | 3.57762 | − | 32.0038i | 0.145692 | − | 1.30329i | ||||
\(604\) | −10.1162 | + | 5.84059i | −0.411622 | + | 0.237650i | ||||
\(605\) | −6.94898 | − | 23.4159i | −0.282516 | − | 0.951993i | ||||
\(606\) | 1.89120 | − | 5.75577i | 0.0768249 | − | 0.233812i | ||||
\(607\) | 30.0680 | 1.22042 | 0.610212 | − | 0.792238i | \(-0.291084\pi\) | ||||
0.610212 | + | 0.792238i | \(0.291084\pi\) | |||||||
\(608\) | −3.69394 | − | 2.31405i | −0.149809 | − | 0.0938470i | ||||
\(609\) | 11.9402 | + | 57.1007i | 0.483839 | + | 2.31384i | ||||
\(610\) | 10.9816 | − | 3.25894i | 0.444633 | − | 0.131951i | ||||
\(611\) | −4.94227 | + | 8.56026i | −0.199943 | + | 0.346311i | ||||
\(612\) | 13.6676 | + | 10.0687i | 0.552479 | + | 0.407003i | ||||
\(613\) | 10.8242 | + | 6.24937i | 0.437187 | + | 0.252410i | 0.702403 | − | 0.711779i | \(-0.252110\pi\) |
−0.265217 | + | 0.964189i | \(0.585444\pi\) | |||||||
\(614\) | −24.9645 | + | 14.4133i | −1.00749 | + | 0.581672i | ||||
\(615\) | −11.8709 | + | 19.2505i | −0.478682 | + | 0.776255i | ||||
\(616\) | − | 1.14665i | − | 0.0461999i | ||||||
\(617\) | 14.8991 | + | 25.8061i | 0.599817 | + | 1.03891i | 0.992848 | + | 0.119388i | \(0.0380931\pi\) |
−0.393031 | + | 0.919525i | \(0.628574\pi\) | |||||||
\(618\) | 8.65415 | − | 7.74063i | 0.348121 | − | 0.311374i | ||||
\(619\) | 4.81279 | 0.193443 | 0.0967213 | − | 0.995312i | \(-0.469164\pi\) | ||||
0.0967213 | + | 0.995312i | \(0.469164\pi\) | |||||||
\(620\) | 9.00317 | + | 8.53505i | 0.361576 | + | 0.342776i | ||||
\(621\) | 0.961775 | + | 0.439679i | 0.0385947 | + | 0.0176437i | ||||
\(622\) | 9.54117 | − | 16.5258i | 0.382566 | − | 0.662624i | ||||
\(623\) | 23.5021 | − | 13.5689i | 0.941590 | − | 0.543627i | ||||
\(624\) | −0.452909 | + | 1.37840i | −0.0181309 | + | 0.0551803i | ||||
\(625\) | 10.1223 | − | 22.8591i | 0.404890 | − | 0.914365i | ||||
\(626\) | −14.6473 | −0.585424 | ||||||||
\(627\) | −0.353919 | − | 2.06056i | −0.0141342 | − | 0.0822910i | ||||
\(628\) | 0.133196i | 0.00531511i | ||||||||
\(629\) | 5.21558 | − | 9.03365i | 0.207959 | − | 0.360195i | ||||
\(630\) | 17.9101 | + | 21.2310i | 0.713557 | + | 0.845863i | ||||
\(631\) | 9.66769 | + | 16.7449i | 0.384865 | + | 0.666605i | 0.991750 | − | 0.128184i | \(-0.0409147\pi\) |
−0.606886 | + | 0.794789i | \(0.707581\pi\) | |||||||
\(632\) | 8.10205 | − | 14.0332i | 0.322282 | − | 0.558209i | ||||
\(633\) | −2.56850 | + | 2.29738i | −0.102089 | + | 0.0913125i | ||||
\(634\) | 3.22170 | 0.127950 | ||||||||
\(635\) | −9.67937 | + | 10.2103i | −0.384114 | + | 0.405182i | ||||
\(636\) | 12.0195 | − | 10.7508i | 0.476605 | − | 0.426296i | ||||
\(637\) | 4.24916 | + | 7.35976i | 0.168358 | + | 0.291604i | ||||
\(638\) | 2.25251 | 0.0891777 | ||||||||
\(639\) | 30.7674 | − | 13.4557i | 1.21714 | − | 0.532299i | ||||
\(640\) | 0.520902 | − | 2.17455i | 0.0205904 | − | 0.0859566i | ||||
\(641\) | −8.82740 | + | 15.2895i | −0.348661 | + | 0.603899i | −0.986012 | − | 0.166675i | \(-0.946697\pi\) |
0.637351 | + | 0.770574i | \(0.280030\pi\) | |||||||
\(642\) | 6.81406 | + | 7.61823i | 0.268930 | + | 0.300668i | ||||
\(643\) | −22.5254 | − | 13.0051i | −0.888315 | − | 0.512869i | −0.0149244 | − | 0.999889i | \(-0.504751\pi\) |
−0.873391 | + | 0.487019i | \(0.838084\pi\) | |||||||
\(644\) | −0.729799 | − | 0.421350i | −0.0287581 | − | 0.0166035i | ||||
\(645\) | −36.8156 | − | 22.7026i | −1.44961 | − | 0.893913i | ||||
\(646\) | −20.9027 | − | 13.0943i | −0.822404 | − | 0.515190i | ||||
\(647\) | −32.4210 | −1.27460 | −0.637300 | − | 0.770616i | \(-0.719949\pi\) | ||||
−0.637300 | + | 0.770616i | \(0.719949\pi\) | |||||||
\(648\) | 8.59550 | − | 2.66783i | 0.337663 | − | 0.104802i | ||||
\(649\) | −0.935204 | − | 0.539940i | −0.0367099 | − | 0.0211945i | ||||
\(650\) | −2.28471 | − | 3.51038i | −0.0896138 | − | 0.137689i | ||||
\(651\) | 12.4206 | − | 37.8014i | 0.486802 | − | 1.48155i | ||||
\(652\) | −3.81474 | + | 2.20244i | −0.149397 | + | 0.0862541i | ||||
\(653\) | −6.39815 | −0.250379 | −0.125190 | − | 0.992133i | \(-0.539954\pi\) | ||||
−0.125190 | + | 0.992133i | \(0.539954\pi\) | |||||||
\(654\) | 19.0084 | − | 3.97479i | 0.743286 | − | 0.155426i | ||||
\(655\) | 0.263162 | − | 1.09859i | 0.0102826 | − | 0.0429255i | ||||
\(656\) | −2.91976 | − | 5.05717i | −0.113997 | − | 0.197449i | ||||
\(657\) | 7.73556 | + | 17.6879i | 0.301793 | + | 0.690069i | ||||
\(658\) | −48.8593 | −1.90474 | ||||||||
\(659\) | 19.1631 | + | 33.1915i | 0.746489 | + | 1.29296i | 0.949496 | + | 0.313779i | \(0.101595\pi\) |
−0.203007 | + | 0.979177i | \(0.565072\pi\) | |||||||
\(660\) | 0.943982 | − | 0.509126i | 0.0367445 | − | 0.0198177i | ||||
\(661\) | 6.47622 | − | 3.73905i | 0.251896 | − | 0.145432i | −0.368736 | − | 0.929534i | \(-0.620209\pi\) |
0.620632 | + | 0.784102i | \(0.286876\pi\) | |||||||
\(662\) | −6.21648 | + | 10.7673i | −0.241610 | + | 0.418481i | ||||
\(663\) | −2.56285 | + | 7.79989i | −0.0995328 | + | 0.302922i | ||||
\(664\) | − | 1.50224i | − | 0.0582982i | ||||||
\(665\) | −28.2694 | − | 28.8032i | −1.09624 | − | 1.11694i | ||||
\(666\) | −2.21592 | − | 5.06685i | −0.0858652 | − | 0.196336i | ||||
\(667\) | 0.827708 | − | 1.43363i | 0.0320490 | − | 0.0555105i | ||||
\(668\) | 6.03723 | + | 3.48560i | 0.233588 | + | 0.134862i | ||||
\(669\) | −25.9616 | − | 29.0255i | −1.00373 | − | 1.12219i | ||||
\(670\) | −23.0109 | + | 6.82878i | −0.888989 | + | 0.263819i | ||||
\(671\) | −1.22858 | + | 0.709320i | −0.0474287 | + | 0.0273830i | ||||
\(672\) | −7.02000 | + | 1.46793i | −0.270802 | + | 0.0566266i | ||||
\(673\) | 36.1921 | 1.39510 | 0.697551 | − | 0.716535i | \(-0.254273\pi\) | ||||
0.697551 | + | 0.716535i | \(0.254273\pi\) | |||||||
\(674\) | −1.16376 | + | 0.671895i | −0.0448262 | + | 0.0258804i | ||||
\(675\) | −9.52613 | + | 24.1713i | −0.366661 | + | 0.930355i | ||||
\(676\) | 12.2983 | 0.473011 | ||||||||
\(677\) | 4.59634i | 0.176652i | 0.996092 | + | 0.0883258i | \(0.0281516\pi\) | ||||
−0.996092 | + | 0.0883258i | \(0.971848\pi\) | |||||||
\(678\) | 3.03701 | + | 3.39543i | 0.116636 | + | 0.130401i | ||||
\(679\) | −23.3005 | − | 13.4525i | −0.894190 | − | 0.516261i | ||||
\(680\) | 2.94759 | − | 12.3050i | 0.113035 | − | 0.471874i | ||||
\(681\) | −46.2553 | − | 15.1984i | −1.77251 | − | 0.582402i | ||||
\(682\) | −1.33056 | − | 0.768196i | −0.0509496 | − | 0.0294158i | ||||
\(683\) | 20.8899i | 0.799330i | 0.916661 | + | 0.399665i | \(0.130874\pi\) | ||||
−0.916661 | + | 0.399665i | \(0.869126\pi\) | |||||||
\(684\) | −12.1620 | + | 4.80466i | −0.465027 | + | 0.183711i | ||||
\(685\) | 0.102116 | − | 0.107717i | 0.00390164 | − | 0.00411564i | ||||
\(686\) | −6.51131 | + | 11.2779i | −0.248603 | + | 0.430593i | ||||
\(687\) | 12.2350 | − | 37.2365i | 0.466794 | − | 1.42066i | ||||
\(688\) | 9.67160 | − | 5.58390i | 0.368726 | − | 0.212884i | ||||
\(689\) | 6.75422 | + | 3.89955i | 0.257315 | + | 0.148561i | ||||
\(690\) | 0.0228377 | − | 0.787891i | 0.000869415 | − | 0.0299945i | ||||
\(691\) | −37.5189 | −1.42729 | −0.713644 | − | 0.700509i | \(-0.752957\pi\) | ||||
−0.713644 | + | 0.700509i | \(0.752957\pi\) | |||||||
\(692\) | 23.9694i | 0.911181i | ||||||||
\(693\) | −2.76957 | − | 2.04029i | −0.105207 | − | 0.0775044i | ||||
\(694\) | −20.7407 | + | 11.9747i | −0.787308 | + | 0.454552i | ||||
\(695\) | 1.81210 | − | 1.91148i | 0.0687367 | − | 0.0725066i | ||||
\(696\) | −2.88364 | − | 13.7902i | −0.109304 | − | 0.522718i | ||||
\(697\) | −16.5219 | − | 28.6167i | −0.625810 | − | 1.08393i | ||||
\(698\) | 25.5453 | + | 14.7486i | 0.966904 | + | 0.558242i | ||||
\(699\) | −21.6566 | − | 24.2125i | −0.819129 | − | 0.915800i | ||||
\(700\) | 9.38046 | − | 18.4563i | 0.354548 | − | 0.697581i | ||||
\(701\) | 14.7634 | + | 8.52364i | 0.557605 | + | 0.321933i | 0.752184 | − | 0.658954i | \(-0.229001\pi\) |
−0.194579 | + | 0.980887i | \(0.562334\pi\) | |||||||
\(702\) | 2.52344 | + | 3.54660i | 0.0952413 | + | 0.133858i | ||||
\(703\) | 3.76427 | + | 7.09894i | 0.141972 | + | 0.267742i | ||||
\(704\) | 0.276925i | 0.0104370i | ||||||||
\(705\) | −21.6941 | − | 40.2235i | −0.817047 | − | 1.51490i | ||||
\(706\) | 25.1662 | + | 14.5297i | 0.947143 | + | 0.546834i | ||||
\(707\) | 7.24177 | + | 12.5431i | 0.272355 | + | 0.471733i | ||||
\(708\) | −2.10837 | + | 6.41670i | −0.0792373 | + | 0.241154i | ||||
\(709\) | 8.29143 | + | 14.3612i | 0.311391 | + | 0.539345i | 0.978664 | − | 0.205468i | \(-0.0658717\pi\) |
−0.667273 | + | 0.744814i | \(0.732538\pi\) | |||||||
\(710\) | −18.1647 | − | 17.2202i | −0.681709 | − | 0.646263i | ||||
\(711\) | −19.4786 | − | 44.5392i | −0.730506 | − | 1.67035i | ||||
\(712\) | −5.67592 | + | 3.27700i | −0.212714 | + | 0.122811i | ||||
\(713\) | −0.977854 | + | 0.564564i | −0.0366209 | + | 0.0211431i | ||||
\(714\) | −39.7236 | + | 8.30648i | −1.48662 | + | 0.310862i | ||||
\(715\) | 0.376440 | + | 0.356867i | 0.0140781 | + | 0.0133461i | ||||
\(716\) | −6.51358 | − | 11.2818i | −0.243424 | − | 0.421622i | ||||
\(717\) | −15.4875 | − | 5.08880i | −0.578390 | − | 0.190045i | ||||
\(718\) | −17.1919 | − | 29.7773i | −0.641597 | − | 1.11128i | ||||
\(719\) | 22.8964 | + | 13.2192i | 0.853892 | + | 0.492994i | 0.861962 | − | 0.506973i | \(-0.169236\pi\) |
−0.00807046 | + | 0.999967i | \(0.502569\pi\) | |||||||
\(720\) | −4.32543 | − | 5.12744i | −0.161199 | − | 0.191088i | ||||
\(721\) | 27.7570i | 1.03372i | ||||||||
\(722\) | 17.0959 | − | 8.29038i | 0.636243 | − | 0.308536i | ||||
\(723\) | 2.80314 | + | 13.4053i | 0.104250 | + | 0.498547i | ||||
\(724\) | −13.0547 | − | 7.53713i | −0.485174 | − | 0.280115i | ||||
\(725\) | 36.2559 | + | 18.4272i | 1.34651 | + | 0.684369i | ||||
\(726\) | 14.1018 | − | 12.6133i | 0.523368 | − | 0.468122i | ||||
\(727\) | −4.72362 | − | 2.72718i | −0.175189 | − | 0.101146i | 0.409841 | − | 0.912157i | \(-0.365584\pi\) |
−0.585031 | + | 0.811011i | \(0.698917\pi\) | |||||||
\(728\) | −1.73427 | − | 3.00385i | −0.0642765 | − | 0.111330i | ||||
\(729\) | 8.85065 | − | 25.5082i | 0.327802 | − | 0.944747i | ||||
\(730\) | 9.89975 | − | 10.4427i | 0.366406 | − | 0.386502i | ||||
\(731\) | 54.7281 | − | 31.5973i | 2.02419 | − | 1.16867i | ||||
\(732\) | 5.91539 | + | 6.61350i | 0.218639 | + | 0.244442i | ||||
\(733\) | 6.23280i | 0.230214i | 0.993353 | + | 0.115107i | \(0.0367210\pi\) | ||||
−0.993353 | + | 0.115107i | \(0.963279\pi\) | |||||||
\(734\) | −10.9862 | −0.405508 | ||||||||
\(735\) | −39.2751 | − | 1.13842i | −1.44869 | − | 0.0419913i | ||||
\(736\) | 0.176252 | + | 0.101759i | 0.00649673 | + | 0.00375089i | ||||
\(737\) | 2.57436 | − | 1.48631i | 0.0948278 | − | 0.0547489i | ||||
\(738\) | −17.4101 | − | 1.94623i | −0.640875 | − | 0.0716418i | ||||
\(739\) | −7.84449 | + | 13.5871i | −0.288564 | + | 0.499808i | −0.973467 | − | 0.228826i | \(-0.926511\pi\) |
0.684903 | + | 0.728634i | \(0.259845\pi\) | |||||||
\(740\) | −2.83587 | + | 2.99141i | −0.104249 | + | 0.109966i | ||||
\(741\) | −4.04369 | − | 4.86271i | −0.148549 | − | 0.178636i | ||||
\(742\) | 38.5510i | 1.41525i | ||||||||
\(743\) | −17.9419 | − | 10.3588i | −0.658225 | − | 0.380026i | 0.133375 | − | 0.991066i | \(-0.457418\pi\) |
−0.791600 | + | 0.611039i | \(0.790752\pi\) | |||||||
\(744\) | −2.99967 | + | 9.12932i | −0.109973 | + | 0.334697i | ||||
\(745\) | 3.49389 | − | 14.5855i | 0.128006 | − | 0.534373i | ||||
\(746\) | 1.89061 | + | 1.09154i | 0.0692201 | + | 0.0399643i | ||||
\(747\) | −3.62843 | − | 2.67301i | −0.132757 | − | 0.0978002i | ||||
\(748\) | 1.56702i | 0.0572958i | ||||||||
\(749\) | −24.4344 | −0.892815 | ||||||||
\(750\) | 19.3592 | − | 0.472306i | 0.706896 | − | 0.0172462i | ||||
\(751\) | −44.2932 | + | 25.5727i | −1.61628 | + | 0.933161i | −0.628411 | + | 0.777881i | \(0.716294\pi\) |
−0.987871 | + | 0.155279i | \(0.950372\pi\) | |||||||
\(752\) | 11.7999 | 0.430298 | ||||||||
\(753\) | 4.77181 | + | 22.8200i | 0.173895 | + | 0.831606i | ||||
\(754\) | 5.90083 | − | 3.40685i | 0.214896 | − | 0.124070i | ||||
\(755\) | 25.0405 | − | 7.43110i | 0.911319 | − | 0.270446i | ||||
\(756\) | −8.94546 | + | 19.5677i | −0.325343 | + | 0.711671i | ||||
\(757\) | −22.3683 | − | 12.9143i | −0.812988 | − | 0.469379i | 0.0350041 | − | 0.999387i | \(-0.488856\pi\) |
−0.847993 | + | 0.530008i | \(0.822189\pi\) | |||||||
\(758\) | 4.72385 | − | 8.18196i | 0.171578 | − | 0.297182i | ||||
\(759\) | 0.0199803 | + | 0.0955504i | 0.000725238 | + | 0.00346826i | ||||
\(760\) | 6.82726 | + | 6.95619i | 0.247651 | + | 0.252327i | ||||
\(761\) | − | 1.34313i | − | 0.0486886i | −0.999704 | − | 0.0243443i | \(-0.992250\pi\) | ||
0.999704 | − | 0.0243443i | \(-0.00774979\pi\) | |||||||
\(762\) | −10.3533 | − | 3.40184i | −0.375061 | − | 0.123236i | ||||
\(763\) | −23.2122 | + | 40.2048i | −0.840340 | + | 1.45551i | ||||
\(764\) | 7.07232 | − | 4.08321i | 0.255868 | − | 0.147725i | ||||
\(765\) | −24.4760 | − | 29.0143i | −0.884933 | − | 1.04901i | ||||
\(766\) | 13.2518 | + | 22.9528i | 0.478808 | + | 0.829319i | ||||
\(767\) | −3.26657 | −0.117949 | ||||||||
\(768\) | 1.69538 | − | 0.354516i | 0.0611768 | − | 0.0127925i | ||||
\(769\) | −26.6553 | − | 46.1683i | −0.961214 | − | 1.66487i | −0.719461 | − | 0.694533i | \(-0.755611\pi\) |
−0.241753 | − | 0.970338i | \(-0.577722\pi\) | |||||||
\(770\) | −0.597293 | + | 2.49345i | −0.0215249 | + | 0.0898577i | ||||
\(771\) | −5.02717 | − | 24.0411i | −0.181049 | − | 0.865820i | ||||
\(772\) | 22.0923 | 0.795118 | ||||||||
\(773\) | 22.3337 | − | 12.8944i | 0.803289 | − | 0.463779i | −0.0413311 | − | 0.999146i | \(-0.513160\pi\) |
0.844620 | + | 0.535366i | \(0.179826\pi\) | |||||||
\(774\) | 3.72208 | − | 33.2960i | 0.133787 | − | 1.19680i | ||||
\(775\) | −15.1319 | − | 23.2496i | −0.543554 | − | 0.835152i | ||||
\(776\) | 5.62724 | + | 3.24889i | 0.202006 | + | 0.116628i | ||||
\(777\) | 12.5600 | + | 4.12689i | 0.450586 | + | 0.148051i | ||||
\(778\) | 35.1670 | 1.26080 | ||||||||
\(779\) | 25.4374 | + | 0.917115i | 0.911388 | + | 0.0328591i | ||||
\(780\) | 1.70289 | − | 2.76149i | 0.0609731 | − | 0.0988770i | ||||
\(781\) | 2.68451 | + | 1.54990i | 0.0960594 | + | 0.0554599i | ||||
\(782\) | 0.997345 | + | 0.575817i | 0.0356650 | + | 0.0205912i | ||||
\(783\) | −38.4392 | − | 17.5727i | −1.37371 | − | 0.627996i | ||||
\(784\) | 5.07253 | − | 8.78588i | 0.181162 | − | 0.313781i | ||||
\(785\) | 0.0693821 | − | 0.289642i | 0.00247635 | − | 0.0103377i | ||||
\(786\) | 0.856514 | − | 0.179103i | 0.0305508 | − | 0.00638840i | ||||
\(787\) | 40.3027 | 1.43664 | 0.718318 | − | 0.695715i | \(-0.244912\pi\) | ||||
0.718318 | + | 0.695715i | \(0.244912\pi\) | |||||||
\(788\) | −13.4561 | − | 23.3067i | −0.479354 | − | 0.830266i | ||||
\(789\) | 0.000754737 | 0 | 0.000843809i | 2.68694e−5 | 0 | 3.00404e-5i | ||||
\(790\) | −24.9282 | + | 26.2954i | −0.886905 | + | 0.935549i | ||||
\(791\) | −10.8904 | −0.387217 | ||||||||
\(792\) | 0.668871 | + | 0.492746i | 0.0237673 | + | 0.0175090i | ||||
\(793\) | −2.14565 | + | 3.71637i | −0.0761941 | + | 0.131972i | ||||
\(794\) | 7.37147 | + | 12.7678i | 0.261604 | + | 0.453111i | ||||
\(795\) | −31.7371 | + | 17.1171i | −1.12560 | + | 0.607080i | ||||
\(796\) | 1.85693 | − | 3.21630i | 0.0658173 | − | 0.113999i | ||||
\(797\) | 2.02959i | 0.0718919i | 0.999354 | + | 0.0359459i | \(0.0114444\pi\) | ||||
−0.999354 | + | 0.0359459i | \(0.988556\pi\) | |||||||
\(798\) | 10.8222 | − | 29.3283i | 0.383100 | − | 1.03821i | ||||
\(799\) | 66.7713 | 2.36220 | ||||||||
\(800\) | −2.26545 | + | 4.45732i | −0.0800958 | + | 0.157590i | ||||
\(801\) | −2.18436 | + | 19.5403i | −0.0771804 | + | 0.690421i | ||||
\(802\) | −17.3261 | + | 10.0032i | −0.611806 | + | 0.353226i | ||||
\(803\) | −0.891026 | + | 1.54330i | −0.0314436 | + | 0.0544619i | ||||
\(804\) | −12.3951 | − | 13.8579i | −0.437141 | − | 0.488731i | ||||
\(805\) | 1.36750 | + | 1.29640i | 0.0481981 | + | 0.0456920i | ||||
\(806\) | −4.64749 | −0.163701 | ||||||||
\(807\) | 5.92292 | + | 6.62192i | 0.208497 | + | 0.233102i | ||||
\(808\) | −1.74894 | − | 3.02926i | −0.0615276 | − | 0.106569i | ||||
\(809\) | − | 10.3990i | − | 0.365610i | −0.983149 | − | 0.182805i | \(-0.941482\pi\) | ||
0.983149 | − | 0.182805i | \(-0.0585177\pi\) | |||||||
\(810\) | −20.0810 | + | 1.32392i | −0.705575 | + | 0.0465179i | ||||
\(811\) | −27.5159 | + | 15.8863i | −0.966213 | + | 0.557844i | −0.898080 | − | 0.439833i | \(-0.855038\pi\) |
−0.0681337 | + | 0.997676i | \(0.521704\pi\) | |||||||
\(812\) | 29.1679 | + | 16.8401i | 1.02359 | + | 0.590971i | ||||
\(813\) | 4.24599 | + | 4.74709i | 0.148913 | + | 0.166488i | ||||
\(814\) | 0.255242 | − | 0.442093i | 0.00894624 | − | 0.0154953i | ||||
\(815\) | 9.44258 | − | 2.80221i | 0.330759 | − | 0.0981570i | ||||
\(816\) | 9.59355 | − | 2.00608i | 0.335841 | − | 0.0702268i | ||||
\(817\) | −1.75394 | + | 48.6477i | −0.0613626 | + | 1.70197i | ||||
\(818\) | −7.08193 | −0.247614 | ||||||||
\(819\) | −10.3412 | − | 1.15602i | −0.361352 | − | 0.0403946i | ||||
\(820\) | 3.71487 | + | 12.5180i | 0.129729 | + | 0.437147i | ||||
\(821\) | −24.2301 | + | 13.9892i | −0.845635 | + | 0.488227i | −0.859176 | − | 0.511681i | \(-0.829023\pi\) |
0.0135409 | + | 0.999908i | \(0.495690\pi\) | |||||||
\(822\) | 0.109226 | + | 0.0358889i | 0.00380969 | + | 0.00125177i | ||||
\(823\) | −15.3764 | + | 8.87756i | −0.535987 | + | 0.309452i | −0.743451 | − | 0.668790i | \(-0.766812\pi\) |
0.207464 | + | 0.978243i | \(0.433479\pi\) | |||||||
\(824\) | − | 6.70352i | − | 0.233528i | ||||||
\(825\) | −2.31794 | + | 0.615398i | −0.0807003 | + | 0.0214254i | ||||
\(826\) | −8.07333 | − | 13.9834i | −0.280907 | − | 0.486546i | ||||
\(827\) | 33.6861 | − | 19.4487i | 1.17138 | − | 0.676297i | 0.217376 | − | 0.976088i | \(-0.430250\pi\) |
0.954005 | + | 0.299791i | \(0.0969170\pi\) | |||||||
\(828\) | 0.559397 | − | 0.244645i | 0.0194404 | − | 0.00850200i | ||||
\(829\) | 39.6887i | 1.37845i | 0.724549 | + | 0.689223i | \(0.242048\pi\) | ||||
−0.724549 | + | 0.689223i | \(0.757952\pi\) | |||||||
\(830\) | −0.782519 | + | 3.26669i | −0.0271616 | + | 0.113389i | ||||
\(831\) | −42.4893 | − | 13.9609i | −1.47394 | − | 0.484299i | ||||
\(832\) | 0.418840 | + | 0.725452i | 0.0145207 | + | 0.0251505i | ||||
\(833\) | 28.7036 | − | 49.7161i | 0.994521 | − | 1.72256i | ||||
\(834\) | 1.93827 | + | 0.636866i | 0.0671166 | + | 0.0220529i | ||||
\(835\) | −11.3126 | − | 10.7244i | −0.391489 | − | 0.371133i | ||||
\(836\) | −1.02294 | − | 0.640817i | −0.0353793 | − | 0.0221631i | ||||
\(837\) | 16.7131 | + | 23.4895i | 0.577688 | + | 0.811916i | ||||
\(838\) | −7.91565 | + | 13.7103i | −0.273442 | + | 0.473615i | ||||
\(839\) | −18.2446 | + | 31.6006i | −0.629875 | + | 1.09098i | 0.357701 | + | 0.933836i | \(0.383561\pi\) |
−0.987576 | + | 0.157139i | \(0.949773\pi\) | |||||||
\(840\) | 16.0300 | + | 0.464642i | 0.553087 | + | 0.0160317i | ||||
\(841\) | −18.5810 | + | 32.1832i | −0.640724 | + | 1.10977i | ||||
\(842\) | −5.67808 | − | 9.83472i | −0.195680 | − | 0.338927i | ||||
\(843\) | 14.5882 | − | 3.05050i | 0.502445 | − | 0.105065i | ||||
\(844\) | 1.98957i | 0.0684837i | ||||||||
\(845\) | −26.7432 | − | 6.40620i | −0.919995 | − | 0.220380i | ||||
\(846\) | 20.9961 | − | 28.5009i | 0.721862 | − | 0.979881i | ||||
\(847\) | 45.2297i | 1.55411i | ||||||||
\(848\) | − | 9.31035i | − | 0.319719i | ||||||
\(849\) | 19.3278 | − | 17.2875i | 0.663327 | − | 0.593307i | ||||
\(850\) | −12.8194 | + | 25.2224i | −0.439701 | + | 0.865120i | ||||
\(851\) | −0.187583 | − | 0.324904i | −0.00643027 | − | 0.0111376i | ||||
\(852\) | 6.05209 | − | 18.4192i | 0.207341 | − | 0.631032i | ||||
\(853\) | −40.1675 | − | 23.1907i | −1.37531 | − | 0.794035i | −0.383719 | − | 0.923450i | \(-0.625357\pi\) |
−0.991591 | + | 0.129415i | \(0.958690\pi\) | |||||||
\(854\) | −21.2119 | −0.725856 | ||||||||
\(855\) | 28.9497 | − | 4.11274i | 0.990059 | − | 0.140653i | ||||
\(856\) | 5.90110 | 0.201695 | ||||||||
\(857\) | 1.30783 | + | 0.755079i | 0.0446748 | + | 0.0257930i | 0.522171 | − | 0.852841i | \(-0.325122\pi\) |
−0.477496 | + | 0.878634i | \(0.658456\pi\) | |||||||
\(858\) | −0.125422 | + | 0.381714i | −0.00428183 | + | 0.0130315i | ||||
\(859\) | −4.51223 | − | 7.81542i | −0.153955 | − | 0.266659i | 0.778723 | − | 0.627368i | \(-0.215868\pi\) |
−0.932678 | + | 0.360710i | \(0.882535\pi\) | |||||||
\(860\) | −23.9400 | + | 7.10451i | −0.816348 | + | 0.242262i | ||||
\(861\) | 31.2153 | − | 27.9203i | 1.06382 | − | 0.951521i | ||||
\(862\) | − | 13.4892i | − | 0.459444i | ||||||
\(863\) | − | 3.88212i | − | 0.132149i | −0.997815 | − | 0.0660744i | \(-0.978953\pi\) | ||
0.997815 | − | 0.0660744i | \(-0.0210475\pi\) | |||||||
\(864\) | 2.16039 | − | 4.72575i | 0.0734981 | − | 0.160773i | ||||
\(865\) | 12.4857 | − | 52.1227i | 0.424527 | − | 1.77222i | ||||
\(866\) | 14.3952i | 0.489168i | ||||||||
\(867\) | 25.4649 | − | 5.32489i | 0.864833 | − | 0.180843i | ||||
\(868\) | −11.4863 | − | 19.8948i | −0.389870 | − | 0.675275i | ||||
\(869\) | 2.24366 | − | 3.88613i | 0.0761109 | − | 0.131828i | ||||
\(870\) | −0.912752 | + | 31.4896i | −0.0309452 | + | 1.06760i | ||||
\(871\) | 4.49599 | − | 7.78728i | 0.152341 | − | 0.263862i | ||||
\(872\) | 5.60593 | − | 9.70976i | 0.189841 | − | 0.328814i | ||||
\(873\) | 17.8600 | − | 7.81084i | 0.604470 | − | 0.264357i | ||||
\(874\) | −0.783747 | + | 0.415589i | −0.0265106 | + | 0.0140575i | ||||
\(875\) | −30.0122 | + | 35.2477i | −1.01460 | + | 1.19159i | ||||
\(876\) | 10.5890 | + | 3.47929i | 0.357770 | + | 0.117554i | ||||
\(877\) | −17.1099 | + | 29.6353i | −0.577762 | + | 1.00071i | 0.417974 | + | 0.908459i | \(0.362740\pi\) |
−0.995736 | + | 0.0922533i | \(0.970593\pi\) | |||||||
\(878\) | 11.4450 | + | 19.8233i | 0.386251 | + | 0.669006i | ||||
\(879\) | 16.4483 | + | 5.40451i | 0.554788 | + | 0.182290i | ||||
\(880\) | 0.144251 | − | 0.602187i | 0.00486269 | − | 0.0202997i | ||||
\(881\) | − | 38.9936i | − | 1.31373i | −0.754009 | − | 0.656864i | \(-0.771883\pi\) | ||
0.754009 | − | 0.656864i | \(-0.228117\pi\) | |||||||
\(882\) | −12.1952 | − | 27.8851i | −0.410633 | − | 0.938939i | ||||
\(883\) | −9.23516 | + | 5.33192i | −0.310788 | + | 0.179434i | −0.647279 | − | 0.762253i | \(-0.724093\pi\) |
0.336491 | + | 0.941687i | \(0.390760\pi\) | |||||||
\(884\) | 2.37006 | + | 4.10507i | 0.0797139 | + | 0.138068i | ||||
\(885\) | 7.92722 | − | 12.8552i | 0.266470 | − | 0.432122i | ||||
\(886\) | − | 4.45543i | − | 0.149683i | ||||||
\(887\) | −3.57716 | + | 2.06527i | −0.120109 | + | 0.0693451i | −0.558851 | − | 0.829268i | \(-0.688758\pi\) |
0.438742 | + | 0.898613i | \(0.355424\pi\) | |||||||
\(888\) | −3.03333 | − | 0.996675i | −0.101792 | − | 0.0334462i | ||||
\(889\) | 22.5622 | − | 13.0263i | 0.756712 | − | 0.436888i | ||||
\(890\) | 14.0496 | − | 4.16939i | 0.470942 | − | 0.139758i | ||||
\(891\) | 2.38031 | − | 0.738790i | 0.0797434 | − | 0.0247504i | ||||
\(892\) | −22.4832 | −0.752794 | ||||||||
\(893\) | −27.3055 | + | 43.5881i | −0.913744 | + | 1.45862i | ||||
\(894\) | 11.3716 | − | 2.37788i | 0.380323 | − | 0.0795281i | ||||
\(895\) | 8.28736 | + | 27.9259i | 0.277016 | + | 0.933458i | ||||
\(896\) | −2.07033 | + | 3.58592i | −0.0691649 | + | 0.119797i | ||||
\(897\) | 0.196859 | + | 0.220091i | 0.00657292 | + | 0.00734863i | ||||
\(898\) | 19.9060 | + | 11.4927i | 0.664271 | + | 0.383517i | ||||
\(899\) | 39.0818 | − | 22.5639i | 1.30345 | − | 0.752549i | ||||
\(900\) | 6.73497 | + | 13.4030i | 0.224499 | + | 0.446766i | ||||
\(901\) | − | 52.6839i | − | 1.75516i | ||||||
\(902\) | −0.808555 | − | 1.40046i | −0.0269219 | − | 0.0466301i | ||||
\(903\) | 53.3962 | + | 59.6978i | 1.77691 | + | 1.98662i | ||||
\(904\) | 2.63010 | 0.0874759 | ||||||||
\(905\) | 24.4620 | + | 23.1901i | 0.813143 | + | 0.770864i | ||||
\(906\) | 13.4884 | + | 15.0802i | 0.448122 | + | 0.501007i | ||||
\(907\) | 12.3433 | − | 21.3793i | 0.409854 | − | 0.709888i | −0.585019 | − | 0.811020i | \(-0.698913\pi\) |
0.994873 | + | 0.101132i | \(0.0322463\pi\) | |||||||
\(908\) | −24.3441 | + | 14.0551i | −0.807888 | + | 0.466434i | ||||
\(909\) | −10.4287 | − | 1.16580i | −0.345898 | − | 0.0386671i | ||||
\(910\) | 2.20655 | + | 7.43541i | 0.0731465 | + | 0.246481i | ||||
\(911\) | 54.4425 | 1.80376 | 0.901881 | − | 0.431985i | \(-0.142187\pi\) | ||||
0.901881 | + | 0.431985i | \(0.142187\pi\) | |||||||
\(912\) | −2.61363 | + | 7.08300i | −0.0865459 | + | 0.234542i | ||||
\(913\) | − | 0.416007i | − | 0.0137678i | ||||||
\(914\) | −6.58477 | + | 11.4051i | −0.217805 | + | 0.377249i | ||||
\(915\) | −9.41831 | − | 17.4627i | −0.311360 | − | 0.577299i | ||||
\(916\) | −11.3146 | − | 19.5975i | −0.373846 | − | 0.647520i | ||||
\(917\) | −1.04594 | + | 1.81162i | −0.0345400 | + | 0.0598250i | ||||
\(918\) | 12.2249 | − | 26.7413i | 0.403481 | − | 0.882594i | ||||
\(919\) | −56.7388 | −1.87164 | −0.935820 | − | 0.352478i | \(-0.885339\pi\) | ||||
−0.935820 | + | 0.352478i | \(0.885339\pi\) | |||||||
\(920\) | −0.330262 | − | 0.313090i | −0.0108884 | − | 0.0103223i | ||||
\(921\) | 33.2863 | + | 37.2146i | 1.09682 | + | 1.22626i | ||||
\(922\) | −7.18219 | − | 12.4399i | −0.236533 | − | 0.409687i | ||||
\(923\) | 9.37672 | 0.308639 | ||||||||
\(924\) | −1.94401 | + | 0.406507i | −0.0639533 | + | 0.0133731i | ||||
\(925\) | 7.72497 | − | 5.02776i | 0.253996 | − | 0.165312i | ||||
\(926\) | −14.5835 | + | 25.2593i | −0.479242 | + | 0.830071i | ||||
\(927\) | −16.1913 | − | 11.9279i | −0.531794 | − | 0.391764i | ||||
\(928\) | −7.04425 | − | 4.06700i | −0.231239 | − | 0.133506i | ||||
\(929\) | −29.8371 | − | 17.2265i | −0.978923 | − | 0.565182i | −0.0769784 | − | 0.997033i | \(-0.524527\pi\) |
−0.901945 | + | 0.431851i | \(0.857861\pi\) | |||||||
\(930\) | 11.2784 | − | 18.2896i | 0.369833 | − | 0.599740i | ||||
\(931\) | 20.7164 | + | 39.0685i | 0.678954 | + | 1.28042i | ||||
\(932\) | −18.7550 | −0.614342 | ||||||||
\(933\) | −31.4000 | − | 10.3173i | −1.02799 | − | 0.337772i | ||||
\(934\) | −25.1194 | − | 14.5027i | −0.821930 | − | 0.474542i | ||||
\(935\) | 0.816262 | − | 3.40756i | 0.0266946 | − | 0.111439i | ||||
\(936\) | 2.49748 | + | 0.279187i | 0.0816328 | + | 0.00912552i | ||||
\(937\) | −40.1661 | + | 23.1899i | −1.31217 | + | 0.757581i | −0.982455 | − | 0.186500i | \(-0.940286\pi\) |
−0.329714 | + | 0.944081i | \(0.606952\pi\) | |||||||
\(938\) | 44.4474 | 1.45126 | ||||||||
\(939\) | 5.19271 | + | 24.8328i | 0.169458 | + | 0.810387i | ||||
\(940\) | −25.6594 | − | 6.14659i | −0.836919 | − | 0.200479i | ||||
\(941\) | −30.0669 | − | 52.0774i | −0.980153 | − | 1.69767i | −0.661761 | − | 0.749714i | \(-0.730191\pi\) |
−0.318391 | − | 0.947959i | \(-0.603143\pi\) | |||||||
\(942\) | 0.225818 | − | 0.0472202i | 0.00735756 | − | 0.00153852i | ||||
\(943\) | −1.18845 | −0.0387012 | ||||||||
\(944\) | 1.94977 | + | 3.37710i | 0.0634596 | + | 0.109915i | ||||
\(945\) | 29.6452 | − | 37.8912i | 0.964358 | − | 1.23260i | ||||
\(946\) | 2.67831 | − | 1.54632i | 0.0870793 | − | 0.0502753i | ||||
\(947\) | −0.0348151 | + | 0.0603015i | −0.00113134 | + | 0.00195953i | −0.866591 | − | 0.499020i | \(-0.833693\pi\) |
0.865459 | + | 0.500979i | \(0.167027\pi\) | |||||||
\(948\) | −26.6639 | − | 8.76108i | −0.866002 | − | 0.284547i | ||||
\(949\) | 5.39059i | 0.174986i | ||||||||
\(950\) | −11.2227 | − | 18.6829i | −0.364113 | − | 0.606153i | ||||
\(951\) | −1.14215 | − | 5.46201i | −0.0370366 | − | 0.177118i | ||||
\(952\) | −11.7152 | + | 20.2914i | −0.379693 | + | 0.657648i | ||||
\(953\) | 24.4450 | + | 14.1133i | 0.791851 | + | 0.457175i | 0.840614 | − | 0.541635i | \(-0.182195\pi\) |
−0.0487631 | + | 0.998810i | \(0.515528\pi\) | |||||||
\(954\) | −22.4878 | − | 16.5664i | −0.728068 | − | 0.536356i | ||||
\(955\) | −17.5061 | + | 5.19515i | −0.566483 | + | 0.168111i | ||||
\(956\) | −8.15104 | + | 4.70600i | −0.263623 | + | 0.152203i | ||||
\(957\) | −0.798551 | − | 3.81886i | −0.0258135 | − | 0.123446i | ||||
\(958\) | 26.5092 | 0.856472 | ||||||||
\(959\) | −0.238028 | + | 0.137425i | −0.00768631 | + | 0.00443769i | ||||
\(960\) | −3.87136 | − | 0.112214i | −0.124948 | − | 0.00362170i | ||||
\(961\) | 0.219173 | 0.00707008 | ||||||||
\(962\) | − | 1.54418i | − | 0.0497865i | ||||||
\(963\) | 10.5001 | − | 14.2532i | 0.338362 | − | 0.459304i | ||||
\(964\) | 6.84761 | + | 3.95347i | 0.220547 | + | 0.127333i | ||||
\(965\) | −48.0407 | − | 11.5079i | −1.54648 | − | 0.370452i | ||||
\(966\) | −0.455623 | + | 1.38666i | −0.0146594 | + | 0.0446151i | ||||
\(967\) | −3.39153 | − | 1.95810i | −0.109064 | − | 0.0629683i | 0.444476 | − | 0.895791i | \(-0.353390\pi\) |
−0.553540 | + | 0.832823i | \(0.686723\pi\) | |||||||
\(968\) | − | 10.9233i | − | 0.351089i | ||||||
\(969\) | −14.7896 | + | 40.0801i | −0.475110 | + | 1.28756i | ||||
\(970\) | −10.5443 | − | 9.99610i | −0.338559 | − | 0.320955i | ||||
\(971\) | −10.0201 | + | 17.3553i | −0.321560 | + | 0.556959i | −0.980810 | − | 0.194965i | \(-0.937541\pi\) |
0.659250 | + | 0.751924i | \(0.270874\pi\) | |||||||
\(972\) | −7.57024 | − | 13.6269i | −0.242816 | − | 0.437082i | ||||
\(973\) | −4.22391 | + | 2.43868i | −0.135412 | + | 0.0781804i | ||||
\(974\) | −10.0979 | − | 5.83002i | −0.323557 | − | 0.186806i | ||||
\(975\) | −5.14147 | + | 5.11795i | −0.164659 | + | 0.163905i | ||||
\(976\) | 5.12283 | 0.163978 | ||||||||
\(977\) | − | 39.0176i | − | 1.24828i | −0.781311 | − | 0.624142i | \(-0.785449\pi\) | ||
0.781311 | − | 0.624142i | \(-0.214551\pi\) | |||||||
\(978\) | 5.08636 | + | 5.68663i | 0.162644 | + | 0.181838i | ||||
\(979\) | −1.57180 | + | 0.907482i | −0.0502351 | + | 0.0290032i | ||||
\(980\) | −15.6070 | + | 16.4630i | −0.498549 | + | 0.525892i | ||||
\(981\) | −13.4776 | − | 30.8173i | −0.430305 | − | 0.983922i | ||||
\(982\) | −0.386956 | − | 0.670228i | −0.0123483 | − | 0.0213878i | ||||
\(983\) | −24.4818 | − | 14.1346i | −0.780850 | − | 0.450824i | 0.0558817 | − | 0.998437i | \(-0.482203\pi\) |
−0.836731 | + | 0.547614i | \(0.815536\pi\) | |||||||
\(984\) | −7.53874 | + | 6.74296i | −0.240326 | + | 0.214958i | ||||
\(985\) | 17.1205 | + | 57.6908i | 0.545504 | + | 1.83818i | ||||
\(986\) | −39.8609 | − | 23.0137i | −1.26943 | − | 0.732905i | ||||
\(987\) | 17.3214 | + | 82.8352i | 0.551347 | + | 2.63667i | ||||
\(988\) | −3.64899 | − | 0.131560i | −0.116090 | − | 0.00418549i | ||||
\(989\) | − | 2.27285i | − | 0.0722724i | ||||||
\(990\) | −1.19782 | − | 1.41992i | −0.0380692 | − | 0.0451279i | ||||
\(991\) | −34.6905 | − | 20.0285i | −1.10198 | − | 0.636228i | −0.165239 | − | 0.986254i | \(-0.552839\pi\) |
−0.936740 | + | 0.350026i | \(0.886173\pi\) | |||||||
\(992\) | 2.77402 | + | 4.80475i | 0.0880753 | + | 0.152551i | ||||
\(993\) | 20.4585 | + | 6.72214i | 0.649230 | + | 0.213321i | ||||
\(994\) | 23.1746 | + | 40.1396i | 0.735054 | + | 1.27315i | ||||
\(995\) | −5.71337 | + | 6.02673i | −0.181126 | + | 0.191060i | ||||
\(996\) | −2.54687 | + | 0.532568i | −0.0807006 | + | 0.0168751i | ||||
\(997\) | 28.9663 | − | 16.7237i | 0.917373 | − | 0.529645i | 0.0345769 | − | 0.999402i | \(-0.488992\pi\) |
0.882796 | + | 0.469757i | \(0.155658\pi\) | |||||||
\(998\) | −9.86443 | + | 5.69523i | −0.312253 | + | 0.180279i | ||||
\(999\) | −7.80467 | + | 5.55311i | −0.246929 | + | 0.175693i |
(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 | 570.2.n.a.179.8 | ✓ | 80 | |
3.2 | odd | 2 | inner | 570.2.n.a.179.25 | yes | 80 | |
5.4 | even | 2 | inner | 570.2.n.a.179.33 | yes | 80 | |
15.14 | odd | 2 | inner | 570.2.n.a.179.16 | yes | 80 | |
19.12 | odd | 6 | inner | 570.2.n.a.449.16 | yes | 80 | |
57.50 | even | 6 | inner | 570.2.n.a.449.33 | yes | 80 | |
95.69 | odd | 6 | inner | 570.2.n.a.449.25 | yes | 80 | |
285.164 | even | 6 | inner | 570.2.n.a.449.8 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.n.a.179.8 | ✓ | 80 | 1.1 | even | 1 | trivial | |
570.2.n.a.179.16 | yes | 80 | 15.14 | odd | 2 | inner | |
570.2.n.a.179.25 | yes | 80 | 3.2 | odd | 2 | inner | |
570.2.n.a.179.33 | yes | 80 | 5.4 | even | 2 | inner | |
570.2.n.a.449.8 | yes | 80 | 285.164 | even | 6 | inner | |
570.2.n.a.449.16 | yes | 80 | 19.12 | odd | 6 | inner | |
570.2.n.a.449.25 | yes | 80 | 95.69 | odd | 6 | inner | |
570.2.n.a.449.33 | yes | 80 | 57.50 | even | 6 | inner |