Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(65,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.65");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 263.4 | ||
Character | \(\chi\) | \(=\) | 462.263 |
Dual form | 462.2.n.e.65.4 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −0.993776 | − | 1.41859i | −0.573757 | − | 0.819026i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.246102 | − | 0.142087i | 0.110060 | − | 0.0635433i | −0.443959 | − | 0.896047i | \(-0.646427\pi\) |
0.554020 | + | 0.832504i | \(0.313093\pi\) | |||||||
\(6\) | −0.731651 | + | 1.56993i | −0.298695 | + | 0.640922i | ||||
\(7\) | 2.09441 | − | 1.61662i | 0.791611 | − | 0.611026i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.02482 | + | 2.81953i | −0.341606 | + | 0.939843i | ||||
\(10\) | −0.246102 | − | 0.142087i | −0.0778243 | − | 0.0449319i | ||||
\(11\) | −3.25335 | − | 0.644763i | −0.980922 | − | 0.194403i | ||||
\(12\) | 1.72543 | − | 0.151338i | 0.498088 | − | 0.0436876i | ||||
\(13\) | − | 6.02702i | − | 1.67159i | −0.549039 | − | 0.835797i | \(-0.685006\pi\) | ||
0.549039 | − | 0.835797i | \(-0.314994\pi\) | |||||||
\(14\) | −2.44724 | − | 1.00550i | −0.654052 | − | 0.268731i | ||||
\(15\) | −0.446134 | − | 0.207916i | −0.115191 | − | 0.0536837i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.12688 | − | 5.41591i | 0.758380 | − | 1.31355i | −0.185297 | − | 0.982683i | \(-0.559325\pi\) |
0.943677 | − | 0.330869i | \(-0.107342\pi\) | |||||||
\(18\) | 2.95419 | − | 0.522246i | 0.696310 | − | 0.123095i | ||||
\(19\) | −4.70688 | + | 2.71752i | −1.07983 | + | 0.623441i | −0.930851 | − | 0.365399i | \(-0.880933\pi\) |
−0.148981 | + | 0.988840i | \(0.547599\pi\) | |||||||
\(20\) | 0.284174i | 0.0635433i | ||||||||
\(21\) | −4.37470 | − | 1.36455i | −0.954638 | − | 0.297770i | ||||
\(22\) | 1.06829 | + | 3.13986i | 0.227761 | + | 0.669421i | ||||
\(23\) | −1.55587 | + | 0.898282i | −0.324421 | + | 0.187305i | −0.653362 | − | 0.757046i | \(-0.726642\pi\) |
0.328940 | + | 0.944351i | \(0.393309\pi\) | |||||||
\(24\) | −0.993776 | − | 1.41859i | −0.202854 | − | 0.289569i | ||||
\(25\) | −2.45962 | + | 4.26019i | −0.491924 | + | 0.852038i | ||||
\(26\) | −5.21955 | + | 3.01351i | −1.02364 | + | 0.590998i | ||||
\(27\) | 5.01821 | − | 1.34818i | 0.965755 | − | 0.259457i | ||||
\(28\) | 0.352833 | + | 2.62212i | 0.0666791 | + | 0.495534i | ||||
\(29\) | 0.434446 | 0.0806746 | 0.0403373 | − | 0.999186i | \(-0.487157\pi\) | ||||
0.0403373 | + | 0.999186i | \(0.487157\pi\) | |||||||
\(30\) | 0.0430064 | + | 0.490322i | 0.00785186 | + | 0.0895201i | ||||
\(31\) | −3.64386 | + | 6.31135i | −0.654456 | + | 1.13355i | 0.327573 | + | 0.944826i | \(0.393769\pi\) |
−0.982030 | + | 0.188726i | \(0.939564\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 2.31844 | + | 5.25593i | 0.403589 | + | 0.914940i | ||||
\(34\) | −6.25376 | −1.07251 | ||||||||
\(35\) | 0.285737 | − | 0.695442i | 0.0482983 | − | 0.117551i | ||||
\(36\) | −1.92937 | − | 2.29728i | −0.321562 | − | 0.382881i | ||||
\(37\) | −5.57207 | − | 9.65112i | −0.916043 | − | 1.58663i | −0.805367 | − | 0.592777i | \(-0.798032\pi\) |
−0.110677 | − | 0.993856i | \(-0.535302\pi\) | |||||||
\(38\) | 4.70688 | + | 2.71752i | 0.763556 | + | 0.440839i | ||||
\(39\) | −8.54989 | + | 5.98951i | −1.36908 | + | 0.959089i | ||||
\(40\) | 0.246102 | − | 0.142087i | 0.0389122 | − | 0.0224659i | ||||
\(41\) | −0.326715 | −0.0510243 | −0.0255121 | − | 0.999675i | \(-0.508122\pi\) | ||||
−0.0255121 | + | 0.999675i | \(0.508122\pi\) | |||||||
\(42\) | 1.00561 | + | 4.47088i | 0.155170 | + | 0.689871i | ||||
\(43\) | − | 2.29940i | − | 0.350655i | −0.984510 | − | 0.175327i | \(-0.943902\pi\) | ||
0.984510 | − | 0.175327i | \(-0.0560984\pi\) | |||||||
\(44\) | 2.18506 | − | 2.49510i | 0.329410 | − | 0.376151i | ||||
\(45\) | 0.148409 | + | 0.839506i | 0.0221235 | + | 0.125146i | ||||
\(46\) | 1.55587 | + | 0.898282i | 0.229401 | + | 0.132444i | ||||
\(47\) | −3.52794 | + | 2.03685i | −0.514602 | + | 0.297106i | −0.734723 | − | 0.678367i | \(-0.762688\pi\) |
0.220121 | + | 0.975473i | \(0.429355\pi\) | |||||||
\(48\) | −0.731651 | + | 1.56993i | −0.105605 | + | 0.226600i | ||||
\(49\) | 1.77307 | − | 6.77172i | 0.253296 | − | 0.967389i | ||||
\(50\) | 4.91924 | 0.695686 | ||||||||
\(51\) | −10.7904 | + | 0.946432i | −1.51096 | + | 0.132527i | ||||
\(52\) | 5.21955 | + | 3.01351i | 0.723821 | + | 0.417899i | ||||
\(53\) | −1.66437 | − | 0.960923i | −0.228618 | − | 0.131993i | 0.381316 | − | 0.924445i | \(-0.375471\pi\) |
−0.609935 | + | 0.792452i | \(0.708804\pi\) | |||||||
\(54\) | −3.67666 | − | 3.67181i | −0.500330 | − | 0.499670i | ||||
\(55\) | −0.892269 | + | 0.303581i | −0.120313 | + | 0.0409349i | ||||
\(56\) | 2.09441 | − | 1.61662i | 0.279877 | − | 0.216030i | ||||
\(57\) | 8.53264 | + | 3.97655i | 1.13018 | + | 0.526706i | ||||
\(58\) | −0.217223 | − | 0.376241i | −0.0285228 | − | 0.0494029i | ||||
\(59\) | 8.38305 | + | 4.83996i | 1.09138 | + | 0.630109i | 0.933944 | − | 0.357420i | \(-0.116344\pi\) |
0.157437 | + | 0.987529i | \(0.449677\pi\) | |||||||
\(60\) | 0.403128 | − | 0.282406i | 0.0520436 | − | 0.0364584i | ||||
\(61\) | 3.37831 | − | 1.95047i | 0.432548 | − | 0.249732i | −0.267883 | − | 0.963451i | \(-0.586324\pi\) |
0.700432 | + | 0.713719i | \(0.252991\pi\) | |||||||
\(62\) | 7.28772 | 0.925541 | ||||||||
\(63\) | 2.41173 | + | 7.56198i | 0.303849 | + | 0.952720i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.856362 | − | 1.48326i | −0.106219 | − | 0.183976i | ||||
\(66\) | 3.39255 | − | 4.63580i | 0.417594 | − | 0.570627i | ||||
\(67\) | 4.34158 | − | 7.51984i | 0.530409 | − | 0.918695i | −0.468962 | − | 0.883218i | \(-0.655372\pi\) |
0.999371 | − | 0.0354765i | \(-0.0112949\pi\) | |||||||
\(68\) | 3.12688 | + | 5.41591i | 0.379190 | + | 0.656776i | ||||
\(69\) | 2.82048 | + | 1.31446i | 0.339546 | + | 0.158242i | ||||
\(70\) | −0.745139 | + | 0.100266i | −0.0890611 | + | 0.0119841i | ||||
\(71\) | − | 3.88436i | − | 0.460989i | −0.973074 | − | 0.230495i | \(-0.925966\pi\) | ||
0.973074 | − | 0.230495i | \(-0.0740344\pi\) | |||||||
\(72\) | −1.02482 | + | 2.81953i | −0.120776 | + | 0.332285i | ||||
\(73\) | −3.80459 | − | 2.19658i | −0.445294 | − | 0.257091i | 0.260547 | − | 0.965461i | \(-0.416097\pi\) |
−0.705841 | + | 0.708371i | \(0.749431\pi\) | |||||||
\(74\) | −5.57207 | + | 9.65112i | −0.647740 | + | 1.12192i | ||||
\(75\) | 8.48780 | − | 0.744470i | 0.980086 | − | 0.0859639i | ||||
\(76\) | − | 5.43503i | − | 0.623441i | ||||||
\(77\) | −7.85617 | + | 3.90904i | −0.895294 | + | 0.445476i | ||||
\(78\) | 9.46201 | + | 4.40967i | 1.07136 | + | 0.499297i | ||||
\(79\) | −4.63260 | + | 2.67463i | −0.521208 | + | 0.300920i | −0.737429 | − | 0.675425i | \(-0.763960\pi\) |
0.216221 | + | 0.976345i | \(0.430627\pi\) | |||||||
\(80\) | −0.246102 | − | 0.142087i | −0.0275151 | − | 0.0158858i | ||||
\(81\) | −6.89949 | − | 5.77901i | −0.766610 | − | 0.642113i | ||||
\(82\) | 0.163357 | + | 0.282943i | 0.0180398 | + | 0.0312459i | ||||
\(83\) | 1.61235 | 0.176978 | 0.0884892 | − | 0.996077i | \(-0.471796\pi\) | ||||
0.0884892 | + | 0.996077i | \(0.471796\pi\) | |||||||
\(84\) | 3.36909 | − | 3.10633i | 0.367597 | − | 0.338928i | ||||
\(85\) | − | 1.77716i | − | 0.192760i | ||||||
\(86\) | −1.99134 | + | 1.14970i | −0.214731 | + | 0.123975i | ||||
\(87\) | −0.431742 | − | 0.616303i | −0.0462876 | − | 0.0660746i | ||||
\(88\) | −3.25335 | − | 0.644763i | −0.346808 | − | 0.0687320i | ||||
\(89\) | 14.8319 | − | 8.56318i | 1.57217 | − | 0.907695i | 0.576271 | − | 0.817258i | \(-0.304507\pi\) |
0.995902 | − | 0.0904364i | \(-0.0288262\pi\) | |||||||
\(90\) | 0.652829 | − | 0.548279i | 0.0688142 | − | 0.0577936i | ||||
\(91\) | −9.74341 | − | 12.6230i | −1.02139 | − | 1.32325i | ||||
\(92\) | − | 1.79656i | − | 0.187305i | ||||||
\(93\) | 12.5744 | − | 1.10291i | 1.30391 | − | 0.114366i | ||||
\(94\) | 3.52794 | + | 2.03685i | 0.363879 | + | 0.210086i | ||||
\(95\) | −0.772248 | + | 1.33757i | −0.0792310 | + | 0.137232i | ||||
\(96\) | 1.72543 | − | 0.151338i | 0.176101 | − | 0.0154459i | ||||
\(97\) | 6.98710 | 0.709432 | 0.354716 | − | 0.934974i | \(-0.384578\pi\) | ||||
0.354716 | + | 0.934974i | \(0.384578\pi\) | |||||||
\(98\) | −6.75102 | + | 1.85034i | −0.681956 | + | 0.186912i | ||||
\(99\) | 5.15202 | − | 8.51215i | 0.517798 | − | 0.855503i | ||||
\(100\) | −2.45962 | − | 4.26019i | −0.245962 | − | 0.426019i | ||||
\(101\) | 5.50494 | − | 9.53484i | 0.547762 | − | 0.948752i | −0.450665 | − | 0.892693i | \(-0.648813\pi\) |
0.998427 | − | 0.0560587i | \(-0.0178534\pi\) | |||||||
\(102\) | 6.21483 | + | 8.87154i | 0.615360 | + | 0.878414i | ||||
\(103\) | −3.87592 | − | 6.71328i | −0.381905 | − | 0.661480i | 0.609429 | − | 0.792840i | \(-0.291399\pi\) |
−0.991335 | + | 0.131361i | \(0.958065\pi\) | |||||||
\(104\) | − | 6.02702i | − | 0.590998i | ||||||
\(105\) | −1.27051 | + | 0.285769i | −0.123989 | + | 0.0278882i | ||||
\(106\) | 1.92185i | 0.186666i | ||||||||
\(107\) | −7.32460 | − | 12.6866i | −0.708096 | − | 1.22646i | −0.965563 | − | 0.260171i | \(-0.916221\pi\) |
0.257466 | − | 0.966287i | \(-0.417112\pi\) | |||||||
\(108\) | −1.34155 | + | 5.01999i | −0.129090 | + | 0.483048i | ||||
\(109\) | 13.7850 | + | 7.95877i | 1.32036 | + | 0.762312i | 0.983786 | − | 0.179344i | \(-0.0573975\pi\) |
0.336577 | + | 0.941656i | \(0.390731\pi\) | |||||||
\(110\) | 0.709044 | + | 0.620937i | 0.0676046 | + | 0.0592040i | ||||
\(111\) | −8.15362 | + | 17.4956i | −0.773908 | + | 1.66060i | ||||
\(112\) | −2.44724 | − | 1.00550i | −0.231242 | − | 0.0950106i | ||||
\(113\) | 12.2685i | 1.15412i | 0.816702 | + | 0.577060i | \(0.195800\pi\) | ||||
−0.816702 | + | 0.577060i | \(0.804200\pi\) | |||||||
\(114\) | −0.822528 | − | 9.37775i | −0.0770368 | − | 0.878307i | ||||
\(115\) | −0.255269 | + | 0.442138i | −0.0238039 | + | 0.0412296i | ||||
\(116\) | −0.217223 | + | 0.376241i | −0.0201687 | + | 0.0349331i | ||||
\(117\) | 16.9934 | + | 6.17660i | 1.57104 | + | 0.571027i | ||||
\(118\) | − | 9.67991i | − | 0.891108i | ||||||
\(119\) | −2.20653 | − | 16.3981i | −0.202272 | − | 1.50321i | ||||
\(120\) | −0.446134 | − | 0.207916i | −0.0407263 | − | 0.0189801i | ||||
\(121\) | 10.1686 | + | 4.19528i | 0.924415 | + | 0.381389i | ||||
\(122\) | −3.37831 | − | 1.95047i | −0.305858 | − | 0.176587i | ||||
\(123\) | 0.324681 | + | 0.463476i | 0.0292755 | + | 0.0417902i | ||||
\(124\) | −3.64386 | − | 6.31135i | −0.327228 | − | 0.566776i | ||||
\(125\) | 2.81879i | 0.252121i | ||||||||
\(126\) | 5.34301 | − | 5.86961i | 0.475993 | − | 0.522906i | ||||
\(127\) | − | 5.55609i | − | 0.493023i | −0.969140 | − | 0.246511i | \(-0.920716\pi\) | ||
0.969140 | − | 0.246511i | \(-0.0792843\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −3.26191 | + | 2.28509i | −0.287195 | + | 0.201191i | ||||
\(130\) | −0.856362 | + | 1.48326i | −0.0751079 | + | 0.130091i | ||||
\(131\) | 9.44368 | + | 16.3569i | 0.825099 | + | 1.42911i | 0.901844 | + | 0.432062i | \(0.142214\pi\) |
−0.0767455 | + | 0.997051i | \(0.524453\pi\) | |||||||
\(132\) | −5.71099 | − | 0.620136i | −0.497078 | − | 0.0539759i | ||||
\(133\) | −5.46491 | + | 13.3008i | −0.473868 | + | 1.15333i | ||||
\(134\) | −8.68317 | −0.750111 | ||||||||
\(135\) | 1.04343 | − | 1.04481i | 0.0898044 | − | 0.0899231i | ||||
\(136\) | 3.12688 | − | 5.41591i | 0.268128 | − | 0.464411i | ||||
\(137\) | 14.6388 | + | 8.45173i | 1.25068 | + | 0.722080i | 0.971244 | − | 0.238084i | \(-0.0765195\pi\) |
0.279435 | + | 0.960165i | \(0.409853\pi\) | |||||||
\(138\) | −0.271889 | − | 3.09984i | −0.0231447 | − | 0.263876i | ||||
\(139\) | − | 12.1306i | − | 1.02890i | −0.857519 | − | 0.514452i | \(-0.827995\pi\) | ||
0.857519 | − | 0.514452i | \(-0.172005\pi\) | |||||||
\(140\) | 0.459402 | + | 0.595176i | 0.0388266 | + | 0.0503016i | ||||
\(141\) | 6.39545 | + | 2.98053i | 0.538594 | + | 0.251006i | ||||
\(142\) | −3.36396 | + | 1.94218i | −0.282297 | + | 0.162984i | ||||
\(143\) | −3.88600 | + | 19.6080i | −0.324964 | + | 1.63970i | ||||
\(144\) | 2.95419 | − | 0.522246i | 0.246183 | − | 0.0435205i | ||||
\(145\) | 0.106918 | − | 0.0617292i | 0.00887907 | − | 0.00512633i | ||||
\(146\) | 4.39317i | 0.363581i | ||||||||
\(147\) | −11.3684 | + | 4.21431i | −0.937646 | + | 0.347590i | ||||
\(148\) | 11.1441 | 0.916043 | ||||||||
\(149\) | −5.93990 | − | 10.2882i | −0.486616 | − | 0.842843i | 0.513266 | − | 0.858230i | \(-0.328436\pi\) |
−0.999882 | + | 0.0153863i | \(0.995102\pi\) | |||||||
\(150\) | −4.88863 | − | 6.97841i | −0.399155 | − | 0.569785i | ||||
\(151\) | −1.49875 | − | 0.865305i | −0.121967 | − | 0.0704175i | 0.437775 | − | 0.899084i | \(-0.355766\pi\) |
−0.559742 | + | 0.828667i | \(0.689100\pi\) | |||||||
\(152\) | −4.70688 | + | 2.71752i | −0.381778 | + | 0.220420i | ||||
\(153\) | 12.0658 | + | 14.3667i | 0.975466 | + | 1.16148i | ||||
\(154\) | 7.31341 | + | 4.84912i | 0.589332 | + | 0.390754i | ||||
\(155\) | 2.07098i | 0.166345i | ||||||||
\(156\) | −0.912118 | − | 10.3992i | −0.0730279 | − | 0.832601i | ||||
\(157\) | −5.57046 | + | 9.64832i | −0.444571 | + | 0.770020i | −0.998022 | − | 0.0628618i | \(-0.979977\pi\) |
0.553451 | + | 0.832882i | \(0.313311\pi\) | |||||||
\(158\) | 4.63260 | + | 2.67463i | 0.368550 | + | 0.212782i | ||||
\(159\) | 0.290849 | + | 3.31600i | 0.0230658 | + | 0.262976i | ||||
\(160\) | 0.284174i | 0.0224659i | ||||||||
\(161\) | −1.80644 | + | 4.39662i | −0.142367 | + | 0.346502i | ||||
\(162\) | −1.55503 | + | 8.86464i | −0.122174 | + | 0.696472i | ||||
\(163\) | 0.415887 | + | 0.720337i | 0.0325748 | + | 0.0564211i | 0.881853 | − | 0.471524i | \(-0.156296\pi\) |
−0.849278 | + | 0.527945i | \(0.822963\pi\) | |||||||
\(164\) | 0.163357 | − | 0.282943i | 0.0127561 | − | 0.0220942i | ||||
\(165\) | 1.31737 | + | 0.964075i | 0.102557 | + | 0.0750532i | ||||
\(166\) | −0.806175 | − | 1.39634i | −0.0625713 | − | 0.108377i | ||||
\(167\) | 19.1395 | 1.48106 | 0.740529 | − | 0.672025i | \(-0.234575\pi\) | ||||
0.740529 | + | 0.672025i | \(0.234575\pi\) | |||||||
\(168\) | −4.37470 | − | 1.36455i | −0.337515 | − | 0.105277i | ||||
\(169\) | −23.3249 | −1.79423 | ||||||||
\(170\) | −1.53906 | + | 0.888578i | −0.118041 | + | 0.0681509i | ||||
\(171\) | −2.83842 | − | 16.0561i | −0.217060 | − | 1.22784i | ||||
\(172\) | 1.99134 | + | 1.14970i | 0.151838 | + | 0.0876637i | ||||
\(173\) | −8.80633 | − | 15.2530i | −0.669533 | − | 1.15967i | −0.978035 | − | 0.208442i | \(-0.933161\pi\) |
0.308502 | − | 0.951224i | \(-0.400172\pi\) | |||||||
\(174\) | −0.317863 | + | 0.682051i | −0.0240971 | + | 0.0517062i | ||||
\(175\) | 1.73567 | + | 12.8988i | 0.131204 | + | 0.975061i | ||||
\(176\) | 1.06829 | + | 3.13986i | 0.0805256 | + | 0.236676i | ||||
\(177\) | −1.46494 | − | 16.7020i | −0.110112 | − | 1.25540i | ||||
\(178\) | −14.8319 | − | 8.56318i | −1.11169 | − | 0.641837i | ||||
\(179\) | −7.84070 | − | 4.52683i | −0.586041 | − | 0.338351i | 0.177489 | − | 0.984123i | \(-0.443202\pi\) |
−0.763531 | + | 0.645772i | \(0.776536\pi\) | |||||||
\(180\) | −0.801238 | − | 0.291227i | −0.0597207 | − | 0.0217068i | ||||
\(181\) | 21.1949 | 1.57540 | 0.787701 | − | 0.616057i | \(-0.211271\pi\) | ||||
0.787701 | + | 0.616057i | \(0.211271\pi\) | |||||||
\(182\) | −6.06015 | + | 14.7495i | −0.449208 | + | 1.09331i | ||||
\(183\) | −6.12421 | − | 2.85412i | −0.452715 | − | 0.210983i | ||||
\(184\) | −1.55587 | + | 0.898282i | −0.114700 | + | 0.0662222i | ||||
\(185\) | −2.74260 | − | 1.58344i | −0.201640 | − | 0.116417i | ||||
\(186\) | −7.24236 | − | 10.3383i | −0.531035 | − | 0.758042i | ||||
\(187\) | −13.6648 | + | 15.6038i | −0.999270 | + | 1.14106i | ||||
\(188\) | − | 4.07371i | − | 0.297106i | ||||||
\(189\) | 8.33067 | − | 10.9362i | 0.605967 | − | 0.795490i | ||||
\(190\) | 1.54450 | 0.112050 | ||||||||
\(191\) | −10.7800 | + | 6.22381i | −0.780010 | + | 0.450339i | −0.836434 | − | 0.548068i | \(-0.815364\pi\) |
0.0564238 | + | 0.998407i | \(0.482030\pi\) | |||||||
\(192\) | −0.993776 | − | 1.41859i | −0.0717196 | − | 0.102378i | ||||
\(193\) | 12.9542 | + | 7.47910i | 0.932463 | + | 0.538357i | 0.887590 | − | 0.460635i | \(-0.152378\pi\) |
0.0448730 | + | 0.998993i | \(0.485712\pi\) | |||||||
\(194\) | −3.49355 | − | 6.05100i | −0.250822 | − | 0.434437i | ||||
\(195\) | −1.25312 | + | 2.68886i | −0.0897374 | + | 0.192553i | ||||
\(196\) | 4.97795 | + | 4.92138i | 0.355568 | + | 0.351527i | ||||
\(197\) | −8.24633 | −0.587527 | −0.293763 | − | 0.955878i | \(-0.594908\pi\) | ||||
−0.293763 | + | 0.955878i | \(0.594908\pi\) | |||||||
\(198\) | −9.94775 | − | 0.205708i | −0.706956 | − | 0.0146190i | ||||
\(199\) | 7.13434 | − | 12.3570i | 0.505740 | − | 0.875967i | −0.494238 | − | 0.869327i | \(-0.664553\pi\) |
0.999978 | − | 0.00664051i | \(-0.00211376\pi\) | |||||||
\(200\) | −2.45962 | + | 4.26019i | −0.173922 | + | 0.301241i | ||||
\(201\) | −14.9822 | + | 1.31409i | −1.05676 | + | 0.0926891i | ||||
\(202\) | −11.0099 | −0.774652 | ||||||||
\(203\) | 0.909907 | − | 0.702335i | 0.0638629 | − | 0.0492943i | ||||
\(204\) | 4.57557 | − | 9.81798i | 0.320354 | − | 0.687396i | ||||
\(205\) | −0.0804052 | + | 0.0464220i | −0.00561574 | + | 0.00324225i | ||||
\(206\) | −3.87592 | + | 6.71328i | −0.270048 | + | 0.467737i | ||||
\(207\) | −0.938248 | − | 5.30740i | −0.0652127 | − | 0.368890i | ||||
\(208\) | −5.21955 | + | 3.01351i | −0.361911 | + | 0.208949i | ||||
\(209\) | 17.0653 | − | 5.80621i | 1.18043 | − | 0.401624i | ||||
\(210\) | 0.882738 | + | 0.957408i | 0.0609147 | + | 0.0660674i | ||||
\(211\) | 16.7368i | 1.15221i | 0.817376 | + | 0.576105i | \(0.195428\pi\) | ||||
−0.817376 | + | 0.576105i | \(0.804572\pi\) | |||||||
\(212\) | 1.66437 | − | 0.960923i | 0.114309 | − | 0.0659964i | ||||
\(213\) | −5.51034 | + | 3.86019i | −0.377562 | + | 0.264496i | ||||
\(214\) | −7.32460 | + | 12.6866i | −0.500700 | + | 0.867237i | ||||
\(215\) | −0.326715 | − | 0.565887i | −0.0222818 | − | 0.0385932i | ||||
\(216\) | 5.01821 | − | 1.34818i | 0.341446 | − | 0.0917320i | ||||
\(217\) | 2.57134 | + | 19.1093i | 0.174554 | + | 1.29722i | ||||
\(218\) | − | 15.9175i | − | 1.07807i | ||||||
\(219\) | 0.664854 | + | 7.58009i | 0.0449267 | + | 0.512215i | ||||
\(220\) | 0.183225 | − | 0.924518i | 0.0123530 | − | 0.0623310i | ||||
\(221\) | −32.6418 | − | 18.8458i | −2.19573 | − | 1.26770i | ||||
\(222\) | 19.2284 | − | 1.68653i | 1.29053 | − | 0.113193i | ||||
\(223\) | 1.08771 | 0.0728383 | 0.0364192 | − | 0.999337i | \(-0.488405\pi\) | ||||
0.0364192 | + | 0.999337i | \(0.488405\pi\) | |||||||
\(224\) | 0.352833 | + | 2.62212i | 0.0235746 | + | 0.175198i | ||||
\(225\) | −9.49107 | − | 11.3009i | −0.632738 | − | 0.753393i | ||||
\(226\) | 10.6248 | − | 6.13423i | 0.706751 | − | 0.408043i | ||||
\(227\) | 4.48346 | − | 7.76558i | 0.297578 | − | 0.515420i | −0.678003 | − | 0.735059i | \(-0.737155\pi\) |
0.975581 | + | 0.219639i | \(0.0704879\pi\) | |||||||
\(228\) | −7.71011 | + | 5.40121i | −0.510614 | + | 0.357704i | ||||
\(229\) | 6.22490 | + | 10.7818i | 0.411353 | + | 0.712485i | 0.995038 | − | 0.0994957i | \(-0.0317230\pi\) |
−0.583685 | + | 0.811980i | \(0.698390\pi\) | |||||||
\(230\) | 0.510537 | 0.0336638 | ||||||||
\(231\) | 13.3526 | + | 7.26001i | 0.878537 | + | 0.477674i | ||||
\(232\) | 0.434446 | 0.0285228 | ||||||||
\(233\) | −9.19303 | − | 15.9228i | −0.602255 | − | 1.04314i | −0.992479 | − | 0.122417i | \(-0.960936\pi\) |
0.390224 | − | 0.920720i | \(-0.372398\pi\) | |||||||
\(234\) | −3.14758 | − | 17.8050i | −0.205764 | − | 1.16395i | ||||
\(235\) | −0.578822 | + | 1.00255i | −0.0377582 | + | 0.0653991i | ||||
\(236\) | −8.38305 | + | 4.83996i | −0.545690 | + | 0.315054i | ||||
\(237\) | 8.39798 | + | 3.91379i | 0.545508 | + | 0.254228i | ||||
\(238\) | −13.0979 | + | 10.1100i | −0.849011 | + | 0.655331i | ||||
\(239\) | 24.8394 | 1.60673 | 0.803365 | − | 0.595487i | \(-0.203041\pi\) | ||||
0.803365 | + | 0.595487i | \(0.203041\pi\) | |||||||
\(240\) | 0.0430064 | + | 0.490322i | 0.00277605 | + | 0.0316501i | ||||
\(241\) | 7.62307 | + | 4.40118i | 0.491045 | + | 0.283505i | 0.725008 | − | 0.688741i | \(-0.241836\pi\) |
−0.233963 | + | 0.972246i | \(0.575169\pi\) | |||||||
\(242\) | −1.45106 | − | 10.9039i | −0.0932777 | − | 0.700927i | ||||
\(243\) | −1.34152 | + | 15.5306i | −0.0860587 | + | 0.996290i | ||||
\(244\) | 3.90094i | 0.249732i | ||||||||
\(245\) | −0.525818 | − | 1.91847i | −0.0335933 | − | 0.122566i | ||||
\(246\) | 0.239041 | − | 0.512920i | 0.0152407 | − | 0.0327026i | ||||
\(247\) | 16.3785 | + | 28.3684i | 1.04214 | + | 1.80504i | ||||
\(248\) | −3.64386 | + | 6.31135i | −0.231385 | + | 0.400771i | ||||
\(249\) | −1.60231 | − | 2.28727i | −0.101543 | − | 0.144950i | ||||
\(250\) | 2.44115 | − | 1.40940i | 0.154392 | − | 0.0891381i | ||||
\(251\) | 14.0216i | 0.885034i | 0.896760 | + | 0.442517i | \(0.145914\pi\) | ||||
−0.896760 | + | 0.442517i | \(0.854086\pi\) | |||||||
\(252\) | −7.75473 | − | 1.69237i | −0.488502 | − | 0.106610i | ||||
\(253\) | 5.64097 | − | 1.91926i | 0.354645 | − | 0.120663i | ||||
\(254\) | −4.81171 | + | 2.77804i | −0.301914 | + | 0.174310i | ||||
\(255\) | −2.52106 | + | 1.76610i | −0.157875 | + | 0.110597i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −7.60623 | + | 4.39146i | −0.474464 | + | 0.273932i | −0.718106 | − | 0.695933i | \(-0.754991\pi\) |
0.243643 | + | 0.969865i | \(0.421658\pi\) | |||||||
\(258\) | 3.60990 | + | 1.68236i | 0.224743 | + | 0.104739i | ||||
\(259\) | −27.2724 | − | 11.2054i | −1.69462 | − | 0.696271i | ||||
\(260\) | 1.71272 | 0.106219 | ||||||||
\(261\) | −0.445229 | + | 1.22493i | −0.0275590 | + | 0.0758215i | ||||
\(262\) | 9.44368 | − | 16.3569i | 0.583433 | − | 1.01054i | ||||
\(263\) | 3.93874 | − | 6.82210i | 0.242873 | − | 0.420669i | −0.718658 | − | 0.695363i | \(-0.755243\pi\) |
0.961532 | + | 0.274695i | \(0.0885767\pi\) | |||||||
\(264\) | 2.31844 | + | 5.25593i | 0.142690 | + | 0.323480i | ||||
\(265\) | −0.546139 | −0.0335490 | ||||||||
\(266\) | 14.2513 | − | 1.91766i | 0.873804 | − | 0.117579i | ||||
\(267\) | −26.8872 | − | 12.5305i | −1.64547 | − | 0.766854i | ||||
\(268\) | 4.34158 | + | 7.51984i | 0.265204 | + | 0.459347i | ||||
\(269\) | −5.23920 | − | 3.02485i | −0.319440 | − | 0.184429i | 0.331703 | − | 0.943384i | \(-0.392377\pi\) |
−0.651143 | + | 0.758955i | \(0.725710\pi\) | |||||||
\(270\) | −1.42655 | − | 0.381233i | −0.0868171 | − | 0.0232011i | ||||
\(271\) | 0.886543 | − | 0.511846i | 0.0538536 | − | 0.0310924i | −0.472831 | − | 0.881153i | \(-0.656768\pi\) |
0.526685 | + | 0.850060i | \(0.323435\pi\) | |||||||
\(272\) | −6.25376 | −0.379190 | ||||||||
\(273\) | −8.22418 | + | 26.3664i | −0.497750 | + | 1.59577i | ||||
\(274\) | − | 16.9035i | − | 1.02118i | ||||||
\(275\) | 10.7488 | − | 12.2740i | 0.648179 | − | 0.740151i | ||||
\(276\) | −2.54860 | + | 1.78538i | −0.153407 | + | 0.107467i | ||||
\(277\) | −0.717044 | − | 0.413986i | −0.0430830 | − | 0.0248740i | 0.478304 | − | 0.878194i | \(-0.341252\pi\) |
−0.521387 | + | 0.853320i | \(0.674585\pi\) | |||||||
\(278\) | −10.5054 | + | 6.06530i | −0.630072 | + | 0.363772i | ||||
\(279\) | −14.0607 | − | 16.7420i | −0.841794 | − | 1.00231i | ||||
\(280\) | 0.285737 | − | 0.695442i | 0.0170760 | − | 0.0415606i | ||||
\(281\) | −21.7279 | −1.29618 | −0.648089 | − | 0.761564i | \(-0.724432\pi\) | ||||
−0.648089 | + | 0.761564i | \(0.724432\pi\) | |||||||
\(282\) | −0.616508 | − | 7.02889i | −0.0367125 | − | 0.418564i | ||||
\(283\) | −12.2598 | − | 7.07821i | −0.728770 | − | 0.420756i | 0.0892018 | − | 0.996014i | \(-0.471568\pi\) |
−0.817972 | + | 0.575258i | \(0.804902\pi\) | |||||||
\(284\) | 3.36396 | + | 1.94218i | 0.199614 | + | 0.115247i | ||||
\(285\) | 2.66492 | − | 0.233741i | 0.157856 | − | 0.0138456i | ||||
\(286\) | 18.9240 | − | 6.43862i | 1.11900 | − | 0.380724i | ||||
\(287\) | −0.684273 | + | 0.528174i | −0.0403914 | + | 0.0311771i | ||||
\(288\) | −1.92937 | − | 2.29728i | −0.113690 | − | 0.135369i | ||||
\(289\) | −11.0547 | − | 19.1474i | −0.650279 | − | 1.12632i | ||||
\(290\) | −0.106918 | − | 0.0617292i | −0.00627845 | − | 0.00362486i | ||||
\(291\) | −6.94361 | − | 9.91186i | −0.407042 | − | 0.581043i | ||||
\(292\) | 3.80459 | − | 2.19658i | 0.222647 | − | 0.128545i | ||||
\(293\) | −5.75882 | −0.336434 | −0.168217 | − | 0.985750i | \(-0.553801\pi\) | ||||
−0.168217 | + | 0.985750i | \(0.553801\pi\) | |||||||
\(294\) | 9.33388 | + | 7.73813i | 0.544363 | + | 0.451297i | ||||
\(295\) | 2.75078 | 0.160157 | ||||||||
\(296\) | −5.57207 | − | 9.65112i | −0.323870 | − | 0.560960i | ||||
\(297\) | −17.1952 | + | 1.15054i | −0.997769 | + | 0.0667611i | ||||
\(298\) | −5.93990 | + | 10.2882i | −0.344089 | + | 0.595980i | ||||
\(299\) | 5.41396 | + | 9.37726i | 0.313098 | + | 0.542301i | ||||
\(300\) | −3.59917 | + | 7.72288i | −0.207798 | + | 0.445881i | ||||
\(301\) | −3.71726 | − | 4.81587i | −0.214259 | − | 0.277582i | ||||
\(302\) | 1.73061i | 0.0995854i | ||||||||
\(303\) | −18.9967 | + | 1.66622i | −1.09133 | + | 0.0957216i | ||||
\(304\) | 4.70688 | + | 2.71752i | 0.269958 | + | 0.155860i | ||||
\(305\) | 0.554273 | − | 0.960029i | 0.0317376 | − | 0.0549711i | ||||
\(306\) | 6.40897 | − | 17.6327i | 0.366376 | − | 1.00799i | ||||
\(307\) | − | 10.5810i | − | 0.603888i | −0.953326 | − | 0.301944i | \(-0.902364\pi\) | ||
0.953326 | − | 0.301944i | \(-0.0976355\pi\) | |||||||
\(308\) | 0.542759 | − | 8.75816i | 0.0309265 | − | 0.499043i | ||||
\(309\) | −5.67163 | + | 12.1699i | −0.322648 | + | 0.692319i | ||||
\(310\) | 1.79352 | − | 1.03549i | 0.101865 | − | 0.0588119i | ||||
\(311\) | 5.90443 | + | 3.40892i | 0.334809 | + | 0.193302i | 0.657974 | − | 0.753040i | \(-0.271414\pi\) |
−0.323165 | + | 0.946343i | \(0.604747\pi\) | |||||||
\(312\) | −8.54989 | + | 5.98951i | −0.484042 | + | 0.339089i | ||||
\(313\) | 13.6258 | + | 23.6005i | 0.770174 | + | 1.33398i | 0.937467 | + | 0.348074i | \(0.113164\pi\) |
−0.167293 | + | 0.985907i | \(0.553503\pi\) | |||||||
\(314\) | 11.1409 | 0.628719 | ||||||||
\(315\) | 1.66799 | + | 1.51834i | 0.0939807 | + | 0.0855490i | ||||
\(316\) | − | 5.34926i | − | 0.300920i | ||||||
\(317\) | 11.6116 | − | 6.70397i | 0.652173 | − | 0.376533i | −0.137115 | − | 0.990555i | \(-0.543783\pi\) |
0.789288 | + | 0.614023i | \(0.210450\pi\) | |||||||
\(318\) | 2.72632 | − | 1.90988i | 0.152884 | − | 0.107101i | ||||
\(319\) | −1.41341 | − | 0.280115i | −0.0791355 | − | 0.0156834i | ||||
\(320\) | 0.246102 | − | 0.142087i | 0.0137575 | − | 0.00794291i | ||||
\(321\) | −10.7181 | + | 22.9983i | −0.598226 | + | 1.28364i | ||||
\(322\) | 4.71081 | − | 0.633886i | 0.262523 | − | 0.0353251i | ||||
\(323\) | 33.9894i | 1.89122i | ||||||||
\(324\) | 8.45452 | − | 3.08563i | 0.469695 | − | 0.171424i | ||||
\(325\) | 25.6762 | + | 14.8242i | 1.42426 | + | 0.822298i | ||||
\(326\) | 0.415887 | − | 0.720337i | 0.0230338 | − | 0.0398958i | ||||
\(327\) | −2.40893 | − | 27.4646i | −0.133214 | − | 1.51879i | ||||
\(328\) | −0.326715 | −0.0180398 | ||||||||
\(329\) | −4.09611 | + | 9.96934i | −0.225826 | + | 0.549627i | ||||
\(330\) | 0.176227 | − | 1.62292i | 0.00970096 | − | 0.0893386i | ||||
\(331\) | 5.97956 | + | 10.3569i | 0.328666 | + | 0.569267i | 0.982248 | − | 0.187590i | \(-0.0600675\pi\) |
−0.653581 | + | 0.756857i | \(0.726734\pi\) | |||||||
\(332\) | −0.806175 | + | 1.39634i | −0.0442446 | + | 0.0766339i | ||||
\(333\) | 32.9220 | − | 5.81998i | 1.80411 | − | 0.318933i | ||||
\(334\) | −9.56974 | − | 16.5753i | −0.523633 | − | 0.906959i | ||||
\(335\) | − | 2.46753i | − | 0.134816i | ||||||
\(336\) | 1.00561 | + | 4.47088i | 0.0548607 | + | 0.243906i | ||||
\(337\) | 7.11663i | 0.387668i | 0.981034 | + | 0.193834i | \(0.0620923\pi\) | ||||
−0.981034 | + | 0.193834i | \(0.937908\pi\) | |||||||
\(338\) | 11.6625 | + | 20.2000i | 0.634355 | + | 1.09874i | ||||
\(339\) | 17.4040 | − | 12.1921i | 0.945254 | − | 0.662184i | ||||
\(340\) | 1.53906 | + | 0.888578i | 0.0834674 | + | 0.0481899i | ||||
\(341\) | 15.9241 | − | 18.1836i | 0.862337 | − | 0.984697i | ||||
\(342\) | −12.4858 | + | 10.4862i | −0.675156 | + | 0.567030i | ||||
\(343\) | −7.23379 | − | 17.0491i | −0.390588 | − | 0.920566i | ||||
\(344\) | − | 2.29940i | − | 0.123975i | ||||||
\(345\) | 0.880894 | − | 0.0772638i | 0.0474258 | − | 0.00415974i | ||||
\(346\) | −8.80633 | + | 15.2530i | −0.473431 | + | 0.820007i | ||||
\(347\) | −0.501160 | + | 0.868034i | −0.0269037 | + | 0.0465985i | −0.879164 | − | 0.476520i | \(-0.841898\pi\) |
0.852260 | + | 0.523118i | \(0.175231\pi\) | |||||||
\(348\) | 0.749605 | − | 0.0657483i | 0.0401830 | − | 0.00352448i | ||||
\(349\) | − | 18.5808i | − | 0.994607i | −0.867577 | − | 0.497304i | \(-0.834323\pi\) | ||
0.867577 | − | 0.497304i | \(-0.165677\pi\) | |||||||
\(350\) | 10.3029 | − | 7.95256i | 0.550713 | − | 0.425082i | ||||
\(351\) | −8.12550 | − | 30.2448i | −0.433707 | − | 1.61435i | ||||
\(352\) | 2.18506 | − | 2.49510i | 0.116464 | − | 0.132989i | ||||
\(353\) | −3.11174 | − | 1.79656i | −0.165621 | − | 0.0956215i | 0.414898 | − | 0.909868i | \(-0.363817\pi\) |
−0.580519 | + | 0.814246i | \(0.697150\pi\) | |||||||
\(354\) | −13.7319 | + | 9.61966i | −0.729841 | + | 0.511279i | ||||
\(355\) | −0.551918 | − | 0.955950i | −0.0292928 | − | 0.0507366i | ||||
\(356\) | 17.1264i | 0.907695i | ||||||||
\(357\) | −21.0695 | + | 19.4262i | −1.11511 | + | 1.02814i | ||||
\(358\) | 9.05366i | 0.478501i | ||||||||
\(359\) | 5.21329 | + | 9.02968i | 0.275147 | + | 0.476569i | 0.970172 | − | 0.242417i | \(-0.0779402\pi\) |
−0.695025 | + | 0.718985i | \(0.744607\pi\) | |||||||
\(360\) | 0.148409 | + | 0.839506i | 0.00782183 | + | 0.0442458i | ||||
\(361\) | 5.26980 | − | 9.12756i | 0.277358 | − | 0.480398i | ||||
\(362\) | −10.5974 | − | 18.3553i | −0.556989 | − | 0.964733i | ||||
\(363\) | −4.15387 | − | 18.5942i | −0.218022 | − | 0.975944i | ||||
\(364\) | 15.8036 | − | 2.12653i | 0.828332 | − | 0.111460i | ||||
\(365\) | −1.24842 | −0.0653455 | ||||||||
\(366\) | 0.590361 | + | 6.73078i | 0.0308587 | + | 0.351824i | ||||
\(367\) | 0.802276 | − | 1.38958i | 0.0418785 | − | 0.0725356i | −0.844326 | − | 0.535829i | \(-0.819999\pi\) |
0.886205 | + | 0.463294i | \(0.153332\pi\) | |||||||
\(368\) | 1.55587 | + | 0.898282i | 0.0811053 | + | 0.0468262i | ||||
\(369\) | 0.334823 | − | 0.921182i | 0.0174302 | − | 0.0479548i | ||||
\(370\) | 3.16688i | 0.164638i | ||||||||
\(371\) | −5.03931 | + | 0.678090i | −0.261628 | + | 0.0352047i | ||||
\(372\) | −5.33206 | + | 11.4412i | −0.276455 | + | 0.593200i | ||||
\(373\) | 0.443041 | − | 0.255790i | 0.0229398 | − | 0.0132443i | −0.488486 | − | 0.872572i | \(-0.662451\pi\) |
0.511426 | + | 0.859327i | \(0.329117\pi\) | |||||||
\(374\) | 20.3457 | + | 4.03219i | 1.05205 | + | 0.208500i | ||||
\(375\) | 3.99872 | − | 2.80125i | 0.206493 | − | 0.144656i | ||||
\(376\) | −3.52794 | + | 2.03685i | −0.181939 | + | 0.105043i | ||||
\(377\) | − | 2.61842i | − | 0.134855i | ||||||
\(378\) | −13.6363 | − | 1.74648i | −0.701378 | − | 0.0898293i | ||||
\(379\) | 5.08365 | 0.261130 | 0.130565 | − | 0.991440i | \(-0.458321\pi\) | ||||
0.130565 | + | 0.991440i | \(0.458321\pi\) | |||||||
\(380\) | −0.772248 | − | 1.33757i | −0.0396155 | − | 0.0686161i | ||||
\(381\) | −7.88183 | + | 5.52151i | −0.403799 | + | 0.282875i | ||||
\(382\) | 10.7800 | + | 6.22381i | 0.551550 | + | 0.318438i | ||||
\(383\) | −4.59160 | + | 2.65096i | −0.234620 | + | 0.135458i | −0.612702 | − | 0.790314i | \(-0.709917\pi\) |
0.378082 | + | 0.925772i | \(0.376584\pi\) | |||||||
\(384\) | −0.731651 | + | 1.56993i | −0.0373369 | + | 0.0801153i | ||||
\(385\) | −1.37800 | + | 2.07828i | −0.0702292 | + | 0.105919i | ||||
\(386\) | − | 14.9582i | − | 0.761352i | ||||||
\(387\) | 6.48322 | + | 2.35647i | 0.329561 | + | 0.119786i | ||||
\(388\) | −3.49355 | + | 6.05100i | −0.177358 | + | 0.307193i | ||||
\(389\) | 25.9986 | + | 15.0103i | 1.31818 | + | 0.761053i | 0.983436 | − | 0.181255i | \(-0.0580159\pi\) |
0.334747 | + | 0.942308i | \(0.391349\pi\) | |||||||
\(390\) | 2.95518 | − | 0.259200i | 0.149641 | − | 0.0131251i | ||||
\(391\) | 11.2353i | 0.568192i | ||||||||
\(392\) | 1.77307 | − | 6.77172i | 0.0895535 | − | 0.342024i | ||||
\(393\) | 13.8190 | − | 29.6519i | 0.697074 | − | 1.49574i | ||||
\(394\) | 4.12317 | + | 7.14153i | 0.207722 | + | 0.359785i | ||||
\(395\) | −0.760061 | + | 1.31647i | −0.0382428 | + | 0.0662385i | ||||
\(396\) | 4.79573 | + | 8.71786i | 0.240994 | + | 0.438089i | ||||
\(397\) | −5.20199 | − | 9.01011i | −0.261080 | − | 0.452204i | 0.705449 | − | 0.708761i | \(-0.250745\pi\) |
−0.966529 | + | 0.256556i | \(0.917412\pi\) | |||||||
\(398\) | −14.2687 | −0.715224 | ||||||||
\(399\) | 24.2994 | − | 5.46554i | 1.21649 | − | 0.273619i | ||||
\(400\) | 4.91924 | 0.245962 | ||||||||
\(401\) | −12.6464 | + | 7.30138i | −0.631529 | + | 0.364614i | −0.781344 | − | 0.624100i | \(-0.785466\pi\) |
0.149815 | + | 0.988714i | \(0.452132\pi\) | |||||||
\(402\) | 8.62912 | + | 12.3179i | 0.430381 | + | 0.614360i | ||||
\(403\) | 38.0386 | + | 21.9616i | 1.89484 | + | 1.09399i | ||||
\(404\) | 5.50494 | + | 9.53484i | 0.273881 | + | 0.474376i | ||||
\(405\) | −2.51910 | − | 0.441898i | −0.125175 | − | 0.0219581i | ||||
\(406\) | −1.06319 | − | 0.436835i | −0.0527654 | − | 0.0216797i | ||||
\(407\) | 11.9052 | + | 34.9911i | 0.590120 | + | 1.73445i | ||||
\(408\) | −10.7904 | + | 0.946432i | −0.534204 | + | 0.0468554i | ||||
\(409\) | −21.6325 | − | 12.4895i | −1.06966 | − | 0.617566i | −0.141568 | − | 0.989928i | \(-0.545215\pi\) |
−0.928087 | + | 0.372362i | \(0.878548\pi\) | |||||||
\(410\) | 0.0804052 | + | 0.0464220i | 0.00397093 | + | 0.00229262i | ||||
\(411\) | −2.55814 | − | 29.1657i | −0.126184 | − | 1.43864i | ||||
\(412\) | 7.75183 | 0.381905 | ||||||||
\(413\) | 25.3819 | − | 3.41539i | 1.24896 | − | 0.168060i | ||||
\(414\) | −4.12722 | + | 3.46625i | −0.202842 | + | 0.170357i | ||||
\(415\) | 0.396803 | − | 0.229094i | 0.0194783 | − | 0.0112458i | ||||
\(416\) | 5.21955 | + | 3.01351i | 0.255910 | + | 0.147749i | ||||
\(417\) | −17.2084 | + | 12.0551i | −0.842699 | + | 0.590341i | ||||
\(418\) | −13.5610 | − | 11.8759i | −0.663288 | − | 0.580867i | ||||
\(419\) | − | 35.4041i | − | 1.72960i | −0.502113 | − | 0.864802i | \(-0.667444\pi\) | ||
0.502113 | − | 0.864802i | \(-0.332556\pi\) | |||||||
\(420\) | 0.387770 | − | 1.24318i | 0.0189213 | − | 0.0606608i | ||||
\(421\) | 0.877958 | 0.0427891 | 0.0213945 | − | 0.999771i | \(-0.493189\pi\) | ||||
0.0213945 | + | 0.999771i | \(0.493189\pi\) | |||||||
\(422\) | 14.4945 | − | 8.36841i | 0.705581 | − | 0.407368i | ||||
\(423\) | −2.12748 | − | 12.0345i | −0.103442 | − | 0.585139i | ||||
\(424\) | −1.66437 | − | 0.960923i | −0.0808288 | − | 0.0466665i | ||||
\(425\) | 15.3819 | + | 26.6422i | 0.746131 | + | 1.29234i | ||||
\(426\) | 6.09819 | + | 2.84200i | 0.295458 | + | 0.137695i | ||||
\(427\) | 3.92238 | − | 9.54652i | 0.189817 | − | 0.461989i | ||||
\(428\) | 14.6492 | 0.708096 | ||||||||
\(429\) | 31.6776 | − | 13.9733i | 1.52941 | − | 0.674637i | ||||
\(430\) | −0.326715 | + | 0.565887i | −0.0157556 | + | 0.0272895i | ||||
\(431\) | −9.95132 | + | 17.2362i | −0.479338 | + | 0.830238i | −0.999719 | − | 0.0236962i | \(-0.992457\pi\) |
0.520381 | + | 0.853934i | \(0.325790\pi\) | |||||||
\(432\) | −3.67666 | − | 3.67181i | −0.176893 | − | 0.176660i | ||||
\(433\) | 13.8697 | 0.666538 | 0.333269 | − | 0.942832i | \(-0.391848\pi\) | ||||
0.333269 | + | 0.942832i | \(0.391848\pi\) | |||||||
\(434\) | 15.2634 | − | 11.7815i | 0.732668 | − | 0.565529i | ||||
\(435\) | −0.193821 | − | 0.0903284i | −0.00929302 | − | 0.00433092i | ||||
\(436\) | −13.7850 | + | 7.95877i | −0.660182 | + | 0.381156i | ||||
\(437\) | 4.88219 | − | 8.45621i | 0.233547 | − | 0.404515i | ||||
\(438\) | 6.23212 | − | 4.36582i | 0.297782 | − | 0.208607i | ||||
\(439\) | 9.43561 | − | 5.44765i | 0.450337 | − | 0.260002i | −0.257635 | − | 0.966242i | \(-0.582943\pi\) |
0.707973 | + | 0.706240i | \(0.249610\pi\) | |||||||
\(440\) | −0.892269 | + | 0.303581i | −0.0425372 | + | 0.0144727i | ||||
\(441\) | 17.2760 | + | 11.9390i | 0.822667 | + | 0.568524i | ||||
\(442\) | 37.6915i | 1.79280i | ||||||||
\(443\) | −12.2275 | + | 7.05956i | −0.580947 | + | 0.335410i | −0.761510 | − | 0.648154i | \(-0.775541\pi\) |
0.180563 | + | 0.983563i | \(0.442208\pi\) | |||||||
\(444\) | −11.0748 | − | 15.8090i | −0.525586 | − | 0.750263i | ||||
\(445\) | 2.43343 | − | 4.21483i | 0.115356 | − | 0.199802i | ||||
\(446\) | −0.543854 | − | 0.941983i | −0.0257522 | − | 0.0446042i | ||||
\(447\) | −8.69187 | + | 18.6505i | −0.411111 | + | 0.882138i | ||||
\(448\) | 2.09441 | − | 1.61662i | 0.0989514 | − | 0.0763782i | ||||
\(449\) | − | 35.3836i | − | 1.66985i | −0.550361 | − | 0.834927i | \(-0.685510\pi\) | ||
0.550361 | − | 0.834927i | \(-0.314490\pi\) | |||||||
\(450\) | −5.04133 | + | 13.8700i | −0.237651 | + | 0.653836i | ||||
\(451\) | 1.06292 | + | 0.210654i | 0.0500508 | + | 0.00991930i | ||||
\(452\) | −10.6248 | − | 6.13423i | −0.499749 | − | 0.288530i | ||||
\(453\) | 0.261907 | + | 2.98604i | 0.0123055 | + | 0.140296i | ||||
\(454\) | −8.96692 | −0.420838 | ||||||||
\(455\) | −4.19144 | − | 1.72214i | −0.196498 | − | 0.0807351i | ||||
\(456\) | 8.53264 | + | 3.97655i | 0.399577 | + | 0.186219i | ||||
\(457\) | −2.96219 | + | 1.71022i | −0.138565 | + | 0.0800007i | −0.567680 | − | 0.823249i | \(-0.692159\pi\) |
0.429115 | + | 0.903250i | \(0.358826\pi\) | |||||||
\(458\) | 6.22490 | − | 10.7818i | 0.290871 | − | 0.503803i | ||||
\(459\) | 8.38971 | − | 31.3938i | 0.391598 | − | 1.46534i | ||||
\(460\) | −0.255269 | − | 0.442138i | −0.0119020 | − | 0.0206148i | ||||
\(461\) | −13.0512 | −0.607855 | −0.303927 | − | 0.952695i | \(-0.598298\pi\) | ||||
−0.303927 | + | 0.952695i | \(0.598298\pi\) | |||||||
\(462\) | −0.388954 | − | 15.1937i | −0.0180958 | − | 0.706875i | ||||
\(463\) | −18.0986 | −0.841115 | −0.420558 | − | 0.907266i | \(-0.638166\pi\) | ||||
−0.420558 | + | 0.907266i | \(0.638166\pi\) | |||||||
\(464\) | −0.217223 | − | 0.376241i | −0.0100843 | − | 0.0174666i | ||||
\(465\) | 2.93788 | − | 2.05809i | 0.136241 | − | 0.0954417i | ||||
\(466\) | −9.19303 | + | 15.9228i | −0.425859 | + | 0.737609i | ||||
\(467\) | 5.31873 | − | 3.07077i | 0.246122 | − | 0.142098i | −0.371865 | − | 0.928287i | \(-0.621282\pi\) |
0.617987 | + | 0.786188i | \(0.287948\pi\) | |||||||
\(468\) | −13.8458 | + | 11.6284i | −0.640021 | + | 0.537522i | ||||
\(469\) | −3.06370 | − | 22.7683i | −0.141469 | − | 1.05134i | ||||
\(470\) | 1.15764 | 0.0533981 | ||||||||
\(471\) | 19.2228 | − | 1.68605i | 0.885742 | − | 0.0776889i | ||||
\(472\) | 8.38305 | + | 4.83996i | 0.385861 | + | 0.222777i | ||||
\(473\) | −1.48257 | + | 7.48074i | −0.0681685 | + | 0.343965i | ||||
\(474\) | −0.809548 | − | 9.22976i | −0.0371838 | − | 0.423937i | ||||
\(475\) | − | 26.7363i | − | 1.22674i | ||||||
\(476\) | 15.3044 | + | 6.28814i | 0.701478 | + | 0.288216i | ||||
\(477\) | 4.41502 | − | 3.70796i | 0.202150 | − | 0.169776i | ||||
\(478\) | −12.4197 | − | 21.5116i | −0.568065 | − | 0.983917i | ||||
\(479\) | 3.63249 | − | 6.29166i | 0.165973 | − | 0.287473i | −0.771028 | − | 0.636802i | \(-0.780257\pi\) |
0.937000 | + | 0.349329i | \(0.113590\pi\) | |||||||
\(480\) | 0.403128 | − | 0.282406i | 0.0184002 | − | 0.0128900i | ||||
\(481\) | −58.1674 | + | 33.5830i | −2.65221 | + | 1.53125i | ||||
\(482\) | − | 8.80236i | − | 0.400937i | ||||||
\(483\) | 8.03222 | − | 1.80665i | 0.365479 | − | 0.0822054i | ||||
\(484\) | −8.71750 | + | 6.70859i | −0.396250 | + | 0.304936i | ||||
\(485\) | 1.71954 | − | 0.992777i | 0.0780803 | − | 0.0450797i | ||||
\(486\) | 14.1207 | − | 6.60352i | 0.640527 | − | 0.299542i | ||||
\(487\) | 20.5335 | − | 35.5650i | 0.930461 | − | 1.61161i | 0.147926 | − | 0.988998i | \(-0.452740\pi\) |
0.782535 | − | 0.622607i | \(-0.213926\pi\) | |||||||
\(488\) | 3.37831 | − | 1.95047i | 0.152929 | − | 0.0882936i | ||||
\(489\) | 0.608567 | − | 1.30583i | 0.0275204 | − | 0.0590516i | ||||
\(490\) | −1.39853 | + | 1.41460i | −0.0631792 | + | 0.0639053i | ||||
\(491\) | −35.9140 | −1.62078 | −0.810389 | − | 0.585892i | \(-0.800744\pi\) | ||||
−0.810389 | + | 0.585892i | \(0.800744\pi\) | |||||||
\(492\) | −0.563722 | + | 0.0494444i | −0.0254146 | + | 0.00222913i | ||||
\(493\) | 1.35846 | − | 2.35292i | 0.0611820 | − | 0.105970i | ||||
\(494\) | 16.3785 | − | 28.3684i | 0.736905 | − | 1.27636i | ||||
\(495\) | 0.0584568 | − | 2.82689i | 0.00262744 | − | 0.127059i | ||||
\(496\) | 7.28772 | 0.327228 | ||||||||
\(497\) | −6.27955 | − | 8.13543i | −0.281676 | − | 0.364924i | ||||
\(498\) | −1.17968 | + | 2.53128i | −0.0528626 | + | 0.113429i | ||||
\(499\) | 6.45040 | + | 11.1724i | 0.288760 | + | 0.500146i | 0.973514 | − | 0.228628i | \(-0.0734239\pi\) |
−0.684754 | + | 0.728774i | \(0.740091\pi\) | |||||||
\(500\) | −2.44115 | − | 1.40940i | −0.109171 | − | 0.0630301i | ||||
\(501\) | −19.0204 | − | 27.1512i | −0.849767 | − | 1.21302i | ||||
\(502\) | 12.1430 | − | 7.01079i | 0.541971 | − | 0.312907i | ||||
\(503\) | −2.65238 | −0.118264 | −0.0591319 | − | 0.998250i | \(-0.518833\pi\) | ||||
−0.0591319 | + | 0.998250i | \(0.518833\pi\) | |||||||
\(504\) | 2.41173 | + | 7.56198i | 0.107427 | + | 0.336837i | ||||
\(505\) | − | 3.12872i | − | 0.139226i | ||||||
\(506\) | −4.48261 | − | 3.92559i | −0.199276 | − | 0.174514i | ||||
\(507\) | 23.1798 | + | 33.0886i | 1.02945 | + | 1.46952i | ||||
\(508\) | 4.81171 | + | 2.77804i | 0.213485 | + | 0.123256i | ||||
\(509\) | 10.6064 | − | 6.12359i | 0.470119 | − | 0.271423i | −0.246171 | − | 0.969226i | \(-0.579172\pi\) |
0.716289 | + | 0.697803i | \(0.245839\pi\) | |||||||
\(510\) | 2.79002 | + | 1.30026i | 0.123544 | + | 0.0575764i | ||||
\(511\) | −11.5194 | + | 1.55005i | −0.509589 | + | 0.0685703i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −19.9564 | + | 19.9828i | −0.881096 | + | 0.882261i | ||||
\(514\) | 7.60623 | + | 4.39146i | 0.335497 | + | 0.193699i | ||||
\(515\) | −1.90774 | − | 1.10144i | −0.0840652 | − | 0.0485351i | ||||
\(516\) | −0.347987 | − | 3.96744i | −0.0153193 | − | 0.174657i | ||||
\(517\) | 12.7909 | − | 4.35192i | 0.562543 | − | 0.191397i | ||||
\(518\) | 3.93202 | + | 29.2213i | 0.172763 | + | 1.28391i | ||||
\(519\) | −12.8863 | + | 27.6507i | −0.565647 | + | 1.21373i | ||||
\(520\) | −0.856362 | − | 1.48326i | −0.0375539 | − | 0.0650453i | ||||
\(521\) | 1.51792 | + | 0.876371i | 0.0665012 | + | 0.0383945i | 0.532882 | − | 0.846190i | \(-0.321109\pi\) |
−0.466381 | + | 0.884584i | \(0.654442\pi\) | |||||||
\(522\) | 1.28344 | − | 0.226888i | 0.0561746 | − | 0.00993060i | ||||
\(523\) | 10.9425 | − | 6.31768i | 0.478484 | − | 0.276253i | −0.241301 | − | 0.970450i | \(-0.577574\pi\) |
0.719784 | + | 0.694198i | \(0.244241\pi\) | |||||||
\(524\) | −18.8874 | −0.825099 | ||||||||
\(525\) | 16.5734 | − | 15.2808i | 0.723321 | − | 0.666908i | ||||
\(526\) | −7.87749 | −0.343475 | ||||||||
\(527\) | 22.7878 | + | 39.4696i | 0.992653 | + | 1.71932i | ||||
\(528\) | 3.39255 | − | 4.63580i | 0.147642 | − | 0.201747i | ||||
\(529\) | −9.88618 | + | 17.1234i | −0.429834 | + | 0.744494i | ||||
\(530\) | 0.273069 | + | 0.472970i | 0.0118614 | + | 0.0205445i | ||||
\(531\) | −22.2375 | + | 18.6762i | −0.965026 | + | 0.810477i | ||||
\(532\) | −8.78639 | − | 11.3832i | −0.380938 | − | 0.493523i | ||||
\(533\) | 1.96912i | 0.0852919i | ||||||||
\(534\) | 2.59187 | + | 29.5503i | 0.112161 | + | 1.27876i | ||||
\(535\) | −3.60520 | − | 2.08146i | −0.155866 | − | 0.0899895i | ||||
\(536\) | 4.34158 | − | 7.51984i | 0.187528 | − | 0.324808i | ||||
\(537\) | 1.37016 | + | 15.6214i | 0.0591269 | + | 0.674114i | ||||
\(538\) | 6.04971i | 0.260822i | ||||||||
\(539\) | −10.1346 | + | 20.8876i | −0.436527 | + | 0.899691i | ||||
\(540\) | 0.383118 | + | 1.42605i | 0.0164868 | + | 0.0613672i | ||||
\(541\) | 28.9602 | − | 16.7202i | 1.24510 | − | 0.718856i | 0.274969 | − | 0.961453i | \(-0.411333\pi\) |
0.970127 | + | 0.242597i | \(0.0779992\pi\) | |||||||
\(542\) | −0.886543 | − | 0.511846i | −0.0380803 | − | 0.0219857i | ||||
\(543\) | −21.0630 | − | 30.0669i | −0.903898 | − | 1.29030i | ||||
\(544\) | 3.12688 | + | 5.41591i | 0.134064 | + | 0.232205i | ||||
\(545\) | 4.52336 | 0.193759 | ||||||||
\(546\) | 26.9461 | − | 6.06085i | 1.15318 | − | 0.259380i | ||||
\(547\) | 18.9288i | 0.809336i | 0.914464 | + | 0.404668i | \(0.132613\pi\) | ||||
−0.914464 | + | 0.404668i | \(0.867387\pi\) | |||||||
\(548\) | −14.6388 | + | 8.45173i | −0.625340 | + | 0.361040i | ||||
\(549\) | 2.03725 | + | 11.5241i | 0.0869476 | + | 0.491838i | ||||
\(550\) | −16.0040 | − | 3.17175i | −0.682414 | − | 0.135244i | ||||
\(551\) | −2.04489 | + | 1.18061i | −0.0871150 | + | 0.0502959i | ||||
\(552\) | 2.82048 | + | 1.31446i | 0.120048 | + | 0.0559470i | ||||
\(553\) | −5.37867 | + | 13.0909i | −0.228724 | + | 0.556683i | ||||
\(554\) | 0.827971i | 0.0351771i | ||||||||
\(555\) | 0.479270 | + | 5.46422i | 0.0203439 | + | 0.231943i | ||||
\(556\) | 10.5054 | + | 6.06530i | 0.445528 | + | 0.257226i | ||||
\(557\) | −8.23820 | + | 14.2690i | −0.349064 | + | 0.604596i | −0.986083 | − | 0.166251i | \(-0.946834\pi\) |
0.637020 | + | 0.770848i | \(0.280167\pi\) | |||||||
\(558\) | −7.46859 | + | 20.5479i | −0.316171 | + | 0.869863i | ||||
\(559\) | −13.8585 | −0.586153 | ||||||||
\(560\) | −0.745139 | + | 0.100266i | −0.0314879 | + | 0.00423701i | ||||
\(561\) | 35.7152 | + | 3.87818i | 1.50790 | + | 0.163737i | ||||
\(562\) | 10.8640 | + | 18.8169i | 0.458268 | + | 0.793744i | ||||
\(563\) | −14.0143 | + | 24.2734i | −0.590631 | + | 1.02300i | 0.403516 | + | 0.914972i | \(0.367788\pi\) |
−0.994148 | + | 0.108031i | \(0.965545\pi\) | |||||||
\(564\) | −5.77894 | + | 4.04835i | −0.243337 | + | 0.170466i | ||||
\(565\) | 1.74319 | + | 3.01930i | 0.0733366 | + | 0.127023i | ||||
\(566\) | 14.1564i | 0.595038i | ||||||||
\(567\) | −23.7928 | − | 0.949727i | −0.999204 | − | 0.0398848i | ||||
\(568\) | − | 3.88436i | − | 0.162984i | ||||||
\(569\) | 13.8711 | + | 24.0254i | 0.581506 | + | 1.00720i | 0.995301 | + | 0.0968278i | \(0.0308696\pi\) |
−0.413795 | + | 0.910370i | \(0.635797\pi\) | |||||||
\(570\) | −1.53488 | − | 2.19101i | −0.0642892 | − | 0.0917715i | ||||
\(571\) | −1.71070 | − | 0.987670i | −0.0715904 | − | 0.0413327i | 0.463778 | − | 0.885952i | \(-0.346494\pi\) |
−0.535368 | + | 0.844619i | \(0.679827\pi\) | |||||||
\(572\) | −15.0380 | − | 13.1694i | −0.628771 | − | 0.550639i | ||||
\(573\) | 19.5419 | + | 9.10731i | 0.816375 | + | 0.380463i | ||||
\(574\) | 0.799549 | + | 0.328511i | 0.0333725 | + | 0.0137118i | ||||
\(575\) | − | 8.83774i | − | 0.368559i | ||||||
\(576\) | −1.02482 | + | 2.81953i | −0.0427008 | + | 0.117480i | ||||
\(577\) | 9.70603 | − | 16.8113i | 0.404067 | − | 0.699865i | −0.590145 | − | 0.807297i | \(-0.700929\pi\) |
0.994212 | + | 0.107432i | \(0.0342628\pi\) | |||||||
\(578\) | −11.0547 | + | 19.1474i | −0.459817 | + | 0.796426i | ||||
\(579\) | −2.26375 | − | 25.8093i | −0.0940781 | − | 1.07260i | ||||
\(580\) | 0.123458i | 0.00512633i | ||||||||
\(581\) | 3.37691 | − | 2.60656i | 0.140098 | − | 0.108138i | ||||
\(582\) | −5.11211 | + | 10.9693i | −0.211904 | + | 0.454691i | ||||
\(583\) | 4.79520 | + | 4.19934i | 0.198597 | + | 0.173919i | ||||
\(584\) | −3.80459 | − | 2.19658i | −0.157435 | − | 0.0908953i | ||||
\(585\) | 5.05972 | − | 0.894463i | 0.209194 | − | 0.0369815i | ||||
\(586\) | 2.87941 | + | 4.98728i | 0.118947 | + | 0.206023i | ||||
\(587\) | − | 13.5713i | − | 0.560148i | −0.959978 | − | 0.280074i | \(-0.909641\pi\) | ||
0.959978 | − | 0.280074i | \(-0.0903590\pi\) | |||||||
\(588\) | 2.03448 | − | 11.9524i | 0.0839006 | − | 0.492910i | ||||
\(589\) | − | 39.6090i | − | 1.63206i | ||||||
\(590\) | −1.37539 | − | 2.38225i | −0.0566239 | − | 0.0980756i | ||||
\(591\) | 8.19501 | + | 11.6982i | 0.337098 | + | 0.481200i | ||||
\(592\) | −5.57207 | + | 9.65112i | −0.229011 | + | 0.396658i | ||||
\(593\) | −18.6257 | − | 32.2607i | −0.764867 | − | 1.32479i | −0.940317 | − | 0.340300i | \(-0.889471\pi\) |
0.175450 | − | 0.984488i | \(-0.443862\pi\) | |||||||
\(594\) | 9.59402 | + | 14.3162i | 0.393647 | + | 0.587403i | ||||
\(595\) | −2.87299 | − | 3.72209i | −0.117781 | − | 0.152591i | ||||
\(596\) | 11.8798 | 0.486616 | ||||||||
\(597\) | −24.6196 | + | 2.15940i | −1.00761 | + | 0.0883782i | ||||
\(598\) | 5.41396 | − | 9.37726i | 0.221393 | − | 0.383465i | ||||
\(599\) | 24.6430 | + | 14.2276i | 1.00688 | + | 0.581325i | 0.910278 | − | 0.413998i | \(-0.135868\pi\) |
0.0966066 | + | 0.995323i | \(0.469201\pi\) | |||||||
\(600\) | 8.48780 | − | 0.744470i | 0.346513 | − | 0.0303928i | ||||
\(601\) | − | 4.98600i | − | 0.203383i | −0.994816 | − | 0.101692i | \(-0.967575\pi\) | ||
0.994816 | − | 0.101692i | \(-0.0324255\pi\) | |||||||
\(602\) | −2.31204 | + | 5.62717i | −0.0942317 | + | 0.229347i | ||||
\(603\) | 16.7531 | + | 19.9477i | 0.682238 | + | 0.812333i | ||||
\(604\) | 1.49875 | − | 0.865305i | 0.0609834 | − | 0.0352088i | ||||
\(605\) | 3.09860 | − | 0.412354i | 0.125976 | − | 0.0167646i | ||||
\(606\) | 10.9414 | + | 15.6186i | 0.444462 | + | 0.634460i | ||||
\(607\) | 5.30947 | − | 3.06542i | 0.215505 | − | 0.124422i | −0.388362 | − | 0.921507i | \(-0.626959\pi\) |
0.603867 | + | 0.797085i | \(0.293626\pi\) | |||||||
\(608\) | − | 5.43503i | − | 0.220420i | ||||||
\(609\) | −1.90057 | − | 0.592824i | −0.0770150 | − | 0.0240225i | ||||
\(610\) | −1.10855 | −0.0448837 | ||||||||
\(611\) | 12.2762 | + | 21.2629i | 0.496640 | + | 0.860206i | ||||
\(612\) | −18.4748 | + | 3.26600i | −0.746800 | + | 0.132020i | ||||
\(613\) | −18.9061 | − | 10.9154i | −0.763609 | − | 0.440870i | 0.0669808 | − | 0.997754i | \(-0.478663\pi\) |
−0.830590 | + | 0.556884i | \(0.811997\pi\) | |||||||
\(614\) | −9.16339 | + | 5.29048i | −0.369804 | + | 0.213507i | ||||
\(615\) | 0.145759 | + | 0.0679293i | 0.00587756 | + | 0.00273917i | ||||
\(616\) | −7.85617 | + | 3.90904i | −0.316534 | + | 0.157500i | ||||
\(617\) | 8.66345i | 0.348777i | 0.984677 | + | 0.174389i | \(0.0557949\pi\) | ||||
−0.984677 | + | 0.174389i | \(0.944205\pi\) | |||||||
\(618\) | 13.3752 | − | 1.17315i | 0.538030 | − | 0.0471909i | ||||
\(619\) | −15.3069 | + | 26.5123i | −0.615236 | + | 1.06562i | 0.375107 | + | 0.926982i | \(0.377606\pi\) |
−0.990343 | + | 0.138639i | \(0.955727\pi\) | |||||||
\(620\) | −1.79352 | − | 1.03549i | −0.0720296 | − | 0.0415863i | ||||
\(621\) | −6.59664 | + | 6.60536i | −0.264714 | + | 0.265064i | ||||
\(622\) | − | 6.81785i | − | 0.273371i | ||||||
\(623\) | 17.2205 | − | 41.9123i | 0.689925 | − | 1.67918i | ||||
\(624\) | 9.46201 | + | 4.40967i | 0.378784 | + | 0.176528i | ||||
\(625\) | −11.8976 | − | 20.6072i | −0.475904 | − | 0.824290i | ||||
\(626\) | 13.6258 | − | 23.6005i | 0.544596 | − | 0.943267i | ||||
\(627\) | −25.1957 | − | 18.4386i | −1.00622 | − | 0.736368i | ||||
\(628\) | −5.57046 | − | 9.64832i | −0.222286 | − | 0.385010i | ||||
\(629\) | −69.6928 | −2.77883 | ||||||||
\(630\) | 0.480929 | − | 2.20370i | 0.0191607 | − | 0.0877973i | ||||
\(631\) | −12.7107 | −0.506006 | −0.253003 | − | 0.967465i | \(-0.581418\pi\) | ||||
−0.253003 | + | 0.967465i | \(0.581418\pi\) | |||||||
\(632\) | −4.63260 | + | 2.67463i | −0.184275 | + | 0.106391i | ||||
\(633\) | 23.7427 | − | 16.6326i | 0.943689 | − | 0.661088i | ||||
\(634\) | −11.6116 | − | 6.70397i | −0.461156 | − | 0.266249i | ||||
\(635\) | −0.789448 | − | 1.36736i | −0.0313283 | − | 0.0542622i | ||||
\(636\) | −3.01717 | − | 1.40612i | −0.119638 | − | 0.0557563i | ||||
\(637\) | −40.8133 | − | 10.6863i | −1.61708 | − | 0.423407i | ||||
\(638\) | 0.464116 | + | 1.36410i | 0.0183745 | + | 0.0540053i | ||||
\(639\) | 10.9521 | + | 3.98077i | 0.433258 | + | 0.157477i | ||||
\(640\) | −0.246102 | − | 0.142087i | −0.00972804 | − | 0.00561649i | ||||
\(641\) | 6.94573 | + | 4.01012i | 0.274340 | + | 0.158390i | 0.630858 | − | 0.775898i | \(-0.282703\pi\) |
−0.356518 | + | 0.934288i | \(0.616036\pi\) | |||||||
\(642\) | 25.2761 | − | 2.21698i | 0.997569 | − | 0.0874974i | ||||
\(643\) | −46.2342 | −1.82330 | −0.911649 | − | 0.410969i | \(-0.865190\pi\) | ||||
−0.911649 | + | 0.410969i | \(0.865190\pi\) | |||||||
\(644\) | −2.90436 | − | 3.76273i | −0.114448 | − | 0.148272i | ||||
\(645\) | −0.478082 | + | 1.02584i | −0.0188245 | + | 0.0403924i | ||||
\(646\) | 29.4357 | − | 16.9947i | 1.15813 | − | 0.668647i | ||||
\(647\) | −28.0821 | − | 16.2132i | −1.10402 | − | 0.637407i | −0.166747 | − | 0.986000i | \(-0.553326\pi\) |
−0.937274 | + | 0.348593i | \(0.886660\pi\) | |||||||
\(648\) | −6.89949 | − | 5.77901i | −0.271038 | − | 0.227021i | ||||
\(649\) | −24.1524 | − | 21.1512i | −0.948063 | − | 0.830255i | ||||
\(650\) | − | 29.6484i | − | 1.16291i | ||||||
\(651\) | 24.5529 | − | 22.6380i | 0.962306 | − | 0.887254i | ||||
\(652\) | −0.831773 | −0.0325748 | ||||||||
\(653\) | −27.2177 | + | 15.7141i | −1.06511 | + | 0.614942i | −0.926842 | − | 0.375453i | \(-0.877487\pi\) |
−0.138269 | + | 0.990395i | \(0.544154\pi\) | |||||||
\(654\) | −22.5805 | + | 15.8185i | −0.882969 | + | 0.618551i | ||||
\(655\) | 4.64822 | + | 2.68365i | 0.181621 | + | 0.104859i | ||||
\(656\) | 0.163357 | + | 0.282943i | 0.00637804 | + | 0.0110471i | ||||
\(657\) | 10.0923 | − | 8.47606i | 0.393740 | − | 0.330683i | ||||
\(658\) | 10.6818 | − | 1.43734i | 0.416418 | − | 0.0560332i | ||||
\(659\) | 20.9664 | 0.816737 | 0.408368 | − | 0.912817i | \(-0.366098\pi\) | ||||
0.408368 | + | 0.912817i | \(0.366098\pi\) | |||||||
\(660\) | −1.49360 | + | 0.658842i | −0.0581383 | + | 0.0256454i | ||||
\(661\) | −0.654442 | + | 1.13353i | −0.0254548 | + | 0.0440891i | −0.878472 | − | 0.477793i | \(-0.841437\pi\) |
0.853017 | + | 0.521883i | \(0.174770\pi\) | |||||||
\(662\) | 5.97956 | − | 10.3569i | 0.232402 | − | 0.402533i | ||||
\(663\) | 5.70416 | + | 65.0339i | 0.221531 | + | 2.52571i | ||||
\(664\) | 1.61235 | 0.0625713 | ||||||||
\(665\) | 0.544949 | + | 4.04985i | 0.0211322 | + | 0.157047i | ||||
\(666\) | −21.5012 | − | 25.6013i | −0.833156 | − | 0.992029i | ||||
\(667\) | −0.675942 | + | 0.390255i | −0.0261726 | + | 0.0151107i | ||||
\(668\) | −9.56974 | + | 16.5753i | −0.370264 | + | 0.641317i | ||||
\(669\) | −1.08094 | − | 1.54302i | −0.0417915 | − | 0.0596565i | ||||
\(670\) | −2.13695 | + | 1.23377i | −0.0825574 | + | 0.0476645i | ||||
\(671\) | −12.2484 | + | 4.16735i | −0.472845 | + | 0.160879i | ||||
\(672\) | 3.36909 | − | 3.10633i | 0.129965 | − | 0.119829i | ||||
\(673\) | 38.4311i | 1.48141i | 0.671829 | + | 0.740706i | \(0.265509\pi\) | ||||
−0.671829 | + | 0.740706i | \(0.734491\pi\) | |||||||
\(674\) | 6.16319 | − | 3.55832i | 0.237397 | − | 0.137061i | ||||
\(675\) | −6.59940 | + | 24.6945i | −0.254011 | + | 0.950493i | ||||
\(676\) | 11.6625 | − | 20.2000i | 0.448557 | − | 0.776923i | ||||
\(677\) | −4.01555 | − | 6.95514i | −0.154330 | − | 0.267308i | 0.778485 | − | 0.627664i | \(-0.215989\pi\) |
−0.932815 | + | 0.360356i | \(0.882655\pi\) | |||||||
\(678\) | −19.2607 | − | 8.97623i | −0.739701 | − | 0.344730i | ||||
\(679\) | 14.6338 | − | 11.2955i | 0.561594 | − | 0.433481i | ||||
\(680\) | − | 1.77716i | − | 0.0681509i | ||||||
\(681\) | −15.4718 | + | 1.35704i | −0.592879 | + | 0.0520018i | ||||
\(682\) | −23.7095 | − | 4.69885i | −0.907883 | − | 0.179928i | ||||
\(683\) | −22.5996 | − | 13.0479i | −0.864751 | − | 0.499264i | 0.000849280 | − | 1.00000i | \(-0.499730\pi\) |
−0.865600 | + | 0.500735i | \(0.833063\pi\) | |||||||
\(684\) | 15.3242 | + | 5.56992i | 0.585937 | + | 0.212971i | ||||
\(685\) | 4.80353 | 0.183533 | ||||||||
\(686\) | −11.1481 | + | 14.7892i | −0.425635 | + | 0.564654i | ||||
\(687\) | 9.10891 | − | 19.5454i | 0.347526 | − | 0.745702i | ||||
\(688\) | −1.99134 | + | 1.14970i | −0.0759190 | + | 0.0438319i | ||||
\(689\) | −5.79150 | + | 10.0312i | −0.220638 | + | 0.382157i | ||||
\(690\) | −0.507360 | − | 0.724245i | −0.0193149 | − | 0.0275715i | ||||
\(691\) | 6.88382 | + | 11.9231i | 0.261873 | + | 0.453577i | 0.966740 | − | 0.255762i | \(-0.0823265\pi\) |
−0.704867 | + | 0.709340i | \(0.748993\pi\) | |||||||
\(692\) | 17.6127 | 0.669533 | ||||||||
\(693\) | −2.97050 | − | 26.1568i | −0.112840 | − | 0.993613i | ||||
\(694\) | 1.00232 | 0.0380475 | ||||||||
\(695\) | −1.72360 | − | 2.98537i | −0.0653799 | − | 0.113241i | ||||
\(696\) | −0.431742 | − | 0.616303i | −0.0163651 | − | 0.0233609i | ||||
\(697\) | −1.02160 | + | 1.76946i | −0.0386958 | + | 0.0670230i | ||||
\(698\) | −16.0914 | + | 9.29040i | −0.609070 | + | 0.351647i | ||||
\(699\) | −13.4522 | + | 28.8649i | −0.508808 | + | 1.09177i | ||||
\(700\) | −12.0386 | − | 4.94629i | −0.455015 | − | 0.186952i | ||||
\(701\) | −16.6844 | −0.630162 | −0.315081 | − | 0.949065i | \(-0.602032\pi\) | ||||
−0.315081 | + | 0.949065i | \(0.602032\pi\) | |||||||
\(702\) | −22.1300 | + | 22.1593i | −0.835245 | + | 0.836349i | ||||
\(703\) | 52.4541 | + | 30.2844i | 1.97835 | + | 1.14220i | ||||
\(704\) | −3.25335 | − | 0.644763i | −0.122615 | − | 0.0243004i | ||||
\(705\) | 1.99743 | − | 0.175196i | 0.0752275 | − | 0.00659825i | ||||
\(706\) | 3.59313i | 0.135229i | ||||||||
\(707\) | −3.88464 | − | 28.8692i | −0.146097 | − | 1.08574i | ||||
\(708\) | 15.1968 | + | 7.08231i | 0.571131 | + | 0.266170i | ||||
\(709\) | −9.07757 | − | 15.7228i | −0.340915 | − | 0.590483i | 0.643688 | − | 0.765288i | \(-0.277404\pi\) |
−0.984603 | + | 0.174806i | \(0.944070\pi\) | |||||||
\(710\) | −0.551918 | + | 0.955950i | −0.0207131 | + | 0.0358762i | ||||
\(711\) | −2.79363 | − | 15.8028i | −0.104769 | − | 0.592650i | ||||
\(712\) | 14.8319 | − | 8.56318i | 0.555847 | − | 0.320919i | ||||
\(713\) | − | 13.0929i | − | 0.490331i | ||||||
\(714\) | 27.3583 | + | 8.53358i | 1.02386 | + | 0.319361i | ||||
\(715\) | 1.82969 | + | 5.37772i | 0.0684266 | + | 0.201115i | ||||
\(716\) | 7.84070 | − | 4.52683i | 0.293021 | − | 0.169176i | ||||
\(717\) | −24.6848 | − | 35.2371i | −0.921872 | − | 1.31595i | ||||
\(718\) | 5.21329 | − | 9.02968i | 0.194558 | − | 0.336985i | ||||
\(719\) | 13.2458 | − | 7.64744i | 0.493983 | − | 0.285201i | −0.232242 | − | 0.972658i | \(-0.574606\pi\) |
0.726225 | + | 0.687457i | \(0.241273\pi\) | |||||||
\(720\) | 0.652829 | − | 0.548279i | 0.0243295 | − | 0.0204331i | ||||
\(721\) | −18.9706 | − | 7.79445i | −0.706501 | − | 0.290280i | ||||
\(722\) | −10.5396 | −0.392243 | ||||||||
\(723\) | −1.33213 | − | 15.1878i | −0.0495426 | − | 0.564841i | ||||
\(724\) | −10.5974 | + | 18.3553i | −0.393851 | + | 0.682169i | ||||
\(725\) | −1.06857 | + | 1.85082i | −0.0396858 | + | 0.0687379i | ||||
\(726\) | −14.0261 | + | 12.8945i | −0.520559 | + | 0.478559i | ||||
\(727\) | 9.71636 | 0.360360 | 0.180180 | − | 0.983634i | \(-0.442332\pi\) | ||||
0.180180 | + | 0.983634i | \(0.442332\pi\) | |||||||
\(728\) | −9.74341 | − | 12.6230i | −0.361115 | − | 0.467840i | ||||
\(729\) | 23.3648 | − | 13.5309i | 0.865364 | − | 0.501144i | ||||
\(730\) | 0.624212 | + | 1.08117i | 0.0231031 | + | 0.0400158i | ||||
\(731\) | −12.4533 | − | 7.18994i | −0.460603 | − | 0.265929i | ||||
\(732\) | 5.53385 | − | 3.87666i | 0.204537 | − | 0.143285i | ||||
\(733\) | 20.6665 | − | 11.9318i | 0.763336 | − | 0.440712i | −0.0671561 | − | 0.997742i | \(-0.521393\pi\) |
0.830492 | + | 0.557030i | \(0.188059\pi\) | |||||||
\(734\) | −1.60455 | −0.0592251 | ||||||||
\(735\) | −2.19898 | + | 2.65245i | −0.0811105 | + | 0.0978370i | ||||
\(736\) | − | 1.79656i | − | 0.0662222i | ||||||
\(737\) | −18.9732 | + | 21.6654i | −0.698887 | + | 0.798054i | ||||
\(738\) | −0.965179 | + | 0.170625i | −0.0355287 | + | 0.00628081i | ||||
\(739\) | 13.0082 | + | 7.51031i | 0.478516 | + | 0.276271i | 0.719798 | − | 0.694184i | \(-0.244235\pi\) |
−0.241282 | + | 0.970455i | \(0.577568\pi\) | |||||||
\(740\) | 2.74260 | − | 1.58344i | 0.100820 | − | 0.0582084i | ||||
\(741\) | 23.9667 | − | 51.4264i | 0.880439 | − | 1.88919i | ||||
\(742\) | 3.10690 | + | 4.02512i | 0.114058 | + | 0.147767i | ||||
\(743\) | −29.1581 | −1.06971 | −0.534853 | − | 0.844945i | \(-0.679633\pi\) | ||||
−0.534853 | + | 0.844945i | \(0.679633\pi\) | |||||||
\(744\) | 12.5744 | − | 1.10291i | 0.461001 | − | 0.0404346i | ||||
\(745\) | −2.92365 | − | 1.68797i | −0.107114 | − | 0.0618423i | ||||
\(746\) | −0.443041 | − | 0.255790i | −0.0162209 | − | 0.00936513i | ||||
\(747\) | −1.65237 | + | 4.54607i | −0.0604569 | + | 0.166332i | ||||
\(748\) | −6.68085 | − | 19.6360i | −0.244276 | − | 0.717962i | ||||
\(749\) | −35.8501 | − | 14.7297i | −1.30993 | − | 0.538213i | ||||
\(750\) | −4.42532 | − | 2.06237i | −0.161590 | − | 0.0753072i | ||||
\(751\) | 10.3432 | + | 17.9150i | 0.377430 | + | 0.653728i | 0.990688 | − | 0.136155i | \(-0.0434745\pi\) |
−0.613257 | + | 0.789883i | \(0.710141\pi\) | |||||||
\(752\) | 3.52794 | + | 2.03685i | 0.128651 | + | 0.0742765i | ||||
\(753\) | 19.8909 | − | 13.9343i | 0.724866 | − | 0.507794i | ||||
\(754\) | −2.26761 | + | 1.30921i | −0.0825816 | + | 0.0476785i | ||||
\(755\) | −0.491795 | −0.0178982 | ||||||||
\(756\) | 5.30567 | + | 12.6827i | 0.192965 | + | 0.461264i | ||||
\(757\) | −19.7101 | −0.716375 | −0.358188 | − | 0.933650i | \(-0.616605\pi\) | ||||
−0.358188 | + | 0.933650i | \(0.616605\pi\) | |||||||
\(758\) | −2.54183 | − | 4.40257i | −0.0923233 | − | 0.159909i | ||||
\(759\) | −8.32851 | − | 6.09493i | −0.302306 | − | 0.221232i | ||||
\(760\) | −0.772248 | + | 1.33757i | −0.0280124 | + | 0.0485189i | ||||
\(761\) | 20.8209 | + | 36.0628i | 0.754757 | + | 1.30728i | 0.945495 | + | 0.325636i | \(0.105578\pi\) |
−0.190738 | + | 0.981641i | \(0.561088\pi\) | |||||||
\(762\) | 8.72268 | + | 4.06511i | 0.315989 | + | 0.147264i | ||||
\(763\) | 41.7377 | − | 5.61623i | 1.51101 | − | 0.203321i | ||||
\(764\) | − | 12.4476i | − | 0.450339i | ||||||
\(765\) | 5.01075 | + | 1.82126i | 0.181164 | + | 0.0658479i | ||||
\(766\) | 4.59160 | + | 2.65096i | 0.165901 | + | 0.0957832i | ||||
\(767\) | 29.1705 | − | 50.5248i | 1.05329 | − | 1.82434i | ||||
\(768\) | 1.72543 | − | 0.151338i | 0.0622610 | − | 0.00546095i | ||||
\(769\) | 5.30858i | 0.191432i | 0.995409 | + | 0.0957161i | \(0.0305141\pi\) | ||||
−0.995409 | + | 0.0957161i | \(0.969486\pi\) | |||||||
\(770\) | 2.48884 | + | 0.154238i | 0.0896917 | + | 0.00555835i | ||||
\(771\) | 13.7886 | + | 6.42603i | 0.496584 | + | 0.231428i | ||||
\(772\) | −12.9542 | + | 7.47910i | −0.466231 | + | 0.269179i | ||||
\(773\) | −27.8900 | − | 16.1023i | −1.00314 | − | 0.579160i | −0.0939608 | − | 0.995576i | \(-0.529953\pi\) |
−0.909174 | + | 0.416415i | \(0.863286\pi\) | |||||||
\(774\) | −1.20085 | − | 6.79287i | −0.0431637 | − | 0.244165i | ||||
\(775\) | −17.9250 | − | 31.0471i | −0.643886 | − | 1.11524i | ||||
\(776\) | 6.98710 | 0.250822 | ||||||||
\(777\) | 11.2067 | + | 49.8241i | 0.402038 | + | 1.78743i | ||||
\(778\) | − | 30.0206i | − | 1.07629i | ||||||
\(779\) | 1.53781 | − | 0.887853i | 0.0550976 | − | 0.0318106i | ||||
\(780\) | −1.70206 | − | 2.42966i | −0.0609436 | − | 0.0869958i | ||||
\(781\) | −2.50450 | + | 12.6372i | −0.0896179 | + | 0.452194i | ||||
\(782\) | 9.73003 | − | 5.61764i | 0.347945 | − | 0.200886i | ||||
\(783\) | 2.18014 | − | 0.585711i | 0.0779119 | − | 0.0209316i | ||||
\(784\) | −6.75102 | + | 1.85034i | −0.241108 | + | 0.0660835i | ||||
\(785\) | 3.16596i | 0.112998i | ||||||||
\(786\) | −32.5888 | + | 2.85838i | −1.16240 | + | 0.101955i | ||||
\(787\) | 25.9819 | + | 15.0006i | 0.926153 | + | 0.534715i | 0.885593 | − | 0.464462i | \(-0.153752\pi\) |
0.0405602 | + | 0.999177i | \(0.487086\pi\) | |||||||
\(788\) | 4.12317 | − | 7.14153i | 0.146882 | − | 0.254407i | ||||
\(789\) | −13.5920 | + | 1.19216i | −0.483889 | + | 0.0424422i | ||||
\(790\) | 1.52012 | 0.0540835 | ||||||||
\(791\) | 19.8335 | + | 25.6951i | 0.705197 | + | 0.913614i | ||||
\(792\) | 5.15202 | − | 8.51215i | 0.183069 | − | 0.302466i | ||||
\(793\) | −11.7555 | − | 20.3611i | −0.417450 | − | 0.723045i | ||||
\(794\) | −5.20199 | + | 9.01011i | −0.184612 | + | 0.319757i | ||||
\(795\) | 0.542740 | + | 0.774749i | 0.0192490 | + | 0.0274775i | ||||
\(796\) | 7.13434 | + | 12.3570i | 0.252870 | + | 0.437984i | ||||
\(797\) | 35.9024i | 1.27173i | 0.771802 | + | 0.635864i | \(0.219356\pi\) | ||||
−0.771802 | + | 0.635864i | \(0.780644\pi\) | |||||||
\(798\) | −16.8830 | − | 18.3111i | −0.597651 | − | 0.648206i | ||||
\(799\) | 25.4760i | 0.901276i | ||||||||
\(800\) | −2.45962 | − | 4.26019i | −0.0869608 | − | 0.150621i | ||||
\(801\) | 8.94416 | + | 50.5946i | 0.316027 | + | 1.78767i | ||||
\(802\) | 12.6464 | + | 7.30138i | 0.446559 | + | 0.257821i | ||||
\(803\) | 10.9614 | + | 9.59931i | 0.386819 | + | 0.338752i | ||||
\(804\) | 6.35304 | − | 13.6320i | 0.224055 | − | 0.480763i | ||||
\(805\) | 0.180134 | + | 1.33869i | 0.00634889 | + | 0.0471826i | ||||
\(806\) | − | 43.9232i | − | 1.54713i | ||||||
\(807\) | 0.915552 | + | 10.4383i | 0.0322290 | + | 0.367447i | ||||
\(808\) | 5.50494 | − | 9.53484i | 0.193663 | − | 0.335434i | ||||
\(809\) | 22.7425 | − | 39.3912i | 0.799585 | − | 1.38492i | −0.120302 | − | 0.992737i | \(-0.538386\pi\) |
0.919887 | − | 0.392184i | \(-0.128280\pi\) | |||||||
\(810\) | 0.876857 | + | 2.40256i | 0.0308096 | + | 0.0844172i | ||||
\(811\) | − | 15.4966i | − | 0.544160i | −0.962275 | − | 0.272080i | \(-0.912288\pi\) | ||
0.962275 | − | 0.272080i | \(-0.0877115\pi\) | |||||||
\(812\) | 0.153287 | + | 1.13917i | 0.00537931 | + | 0.0399770i | ||||
\(813\) | −1.60713 | − | 0.748985i | −0.0563644 | − | 0.0262680i | ||||
\(814\) | 24.3506 | − | 27.8058i | 0.853488 | − | 0.974592i | ||||
\(815\) | 0.204701 | + | 0.118184i | 0.00717037 | + | 0.00413982i | ||||
\(816\) | 6.21483 | + | 8.87154i | 0.217563 | + | 0.310566i | ||||
\(817\) | 6.24865 | + | 10.8230i | 0.218613 | + | 0.378648i | ||||
\(818\) | 24.9790i | 0.873370i | ||||||||
\(819\) | 45.5762 | − | 14.5355i | 1.59256 | − | 0.507912i | ||||
\(820\) | − | 0.0928439i | − | 0.00324225i | ||||||
\(821\) | 19.5209 | + | 33.8113i | 0.681285 | + | 1.18002i | 0.974589 | + | 0.224001i | \(0.0719120\pi\) |
−0.293303 | + | 0.956019i | \(0.594755\pi\) | |||||||
\(822\) | −23.9792 | + | 16.7983i | −0.836369 | + | 0.585906i | ||||
\(823\) | −20.0995 | + | 34.8133i | −0.700624 | + | 1.21352i | 0.267624 | + | 0.963523i | \(0.413761\pi\) |
−0.968248 | + | 0.249992i | \(0.919572\pi\) | |||||||
\(824\) | −3.87592 | − | 6.71328i | −0.135024 | − | 0.233868i | ||||
\(825\) | −28.0938 | − | 3.05060i | −0.978100 | − | 0.106208i | ||||
\(826\) | −15.6488 | − | 20.2737i | −0.544490 | − | 0.705411i | ||||
\(827\) | 3.20205 | 0.111346 | 0.0556732 | − | 0.998449i | \(-0.482270\pi\) | ||||
0.0556732 | + | 0.998449i | \(0.482270\pi\) | |||||||
\(828\) | 5.06547 | + | 1.84115i | 0.176037 | + | 0.0639845i | ||||
\(829\) | −6.56231 | + | 11.3662i | −0.227918 | + | 0.394766i | −0.957191 | − | 0.289457i | \(-0.906525\pi\) |
0.729273 | + | 0.684223i | \(0.239859\pi\) | |||||||
\(830\) | −0.396803 | − | 0.229094i | −0.0137732 | − | 0.00795197i | ||||
\(831\) | 0.125304 | + | 1.42860i | 0.00434674 | + | 0.0495577i | ||||
\(832\) | − | 6.02702i | − | 0.208949i | ||||||
\(833\) | −31.1309 | − | 30.7771i | −1.07862 | − | 1.06636i | ||||
\(834\) | 19.0442 | + | 8.87536i | 0.659447 | + | 0.307328i | ||||
\(835\) | 4.71027 | − | 2.71947i | 0.163006 | − | 0.0941113i | ||||
\(836\) | −3.50431 | + | 17.6821i | −0.121199 | + | 0.611547i | ||||
\(837\) | −9.77681 | + | 36.5842i | −0.337936 | + | 1.26454i | ||||
\(838\) | −30.6609 | + | 17.7021i | −1.05916 | + | 0.611507i | ||||
\(839\) | 22.7217i | 0.784439i | 0.919872 | + | 0.392220i | \(0.128293\pi\) | ||||
−0.919872 | + | 0.392220i | \(0.871707\pi\) | |||||||
\(840\) | −1.27051 | + | 0.285769i | −0.0438367 | + | 0.00985998i | ||||
\(841\) | −28.8113 | −0.993492 | ||||||||
\(842\) | −0.438979 | − | 0.760334i | −0.0151282 | − | 0.0262028i | ||||
\(843\) | 21.5927 | + | 30.8231i | 0.743691 | + | 1.06160i | ||||
\(844\) | −14.4945 | − | 8.36841i | −0.498921 | − | 0.288052i | ||||
\(845\) | −5.74032 | + | 3.31417i | −0.197473 | + | 0.114011i | ||||
\(846\) | −9.35847 | + | 7.85971i | −0.321751 | + | 0.270223i | ||||
\(847\) | 28.0793 | − | 7.65210i | 0.964815 | − | 0.262929i | ||||
\(848\) | 1.92185i | 0.0659964i | ||||||||
\(849\) | 2.14241 | + | 24.4259i | 0.0735272 | + | 0.838293i | ||||
\(850\) | 15.3819 | − | 26.6422i | 0.527594 | − | 0.913820i | ||||
\(851\) | 17.3388 | + | 10.0106i | 0.594368 | + | 0.343159i | ||||
\(852\) | −0.587853 | − | 6.70219i | −0.0201395 | − | 0.229613i | ||||
\(853\) | 21.8003i | 0.746428i | 0.927745 | + | 0.373214i | \(0.121744\pi\) | ||||
−0.927745 | + | 0.373214i | \(0.878256\pi\) | |||||||
\(854\) | −10.2287 | + | 1.37638i | −0.350020 | + | 0.0470987i | ||||
\(855\) | −2.97991 | − | 3.54815i | −0.101911 | − | 0.121344i | ||||
\(856\) | −7.32460 | − | 12.6866i | −0.250350 | − | 0.433619i | ||||
\(857\) | −14.0547 | + | 24.3434i | −0.480098 | + | 0.831554i | −0.999739 | − | 0.0228304i | \(-0.992732\pi\) |
0.519641 | + | 0.854384i | \(0.326066\pi\) | |||||||
\(858\) | −27.9400 | − | 20.4470i | −0.953857 | − | 0.698048i | ||||
\(859\) | −12.9428 | − | 22.4176i | −0.441603 | − | 0.764879i | 0.556205 | − | 0.831045i | \(-0.312257\pi\) |
−0.997809 | + | 0.0661656i | \(0.978923\pi\) | |||||||
\(860\) | 0.653430 | 0.0222818 | ||||||||
\(861\) | 1.42928 | + | 0.445819i | 0.0487097 | + | 0.0151935i | ||||
\(862\) | 19.9026 | 0.677886 | ||||||||
\(863\) | 11.3331 | − | 6.54315i | 0.385782 | − | 0.222731i | −0.294549 | − | 0.955636i | \(-0.595169\pi\) |
0.680331 | + | 0.732905i | \(0.261836\pi\) | |||||||
\(864\) | −1.34155 | + | 5.01999i | −0.0456404 | + | 0.170783i | ||||
\(865\) | −4.33451 | − | 2.50253i | −0.147378 | − | 0.0850887i | ||||
\(866\) | −6.93487 | − | 12.0116i | −0.235657 | − | 0.408169i | ||||
\(867\) | −16.1764 | + | 34.7104i | −0.549380 | + | 1.17883i | ||||
\(868\) | −17.8348 | − | 7.32778i | −0.605352 | − | 0.248721i | ||||
\(869\) | 16.7960 | − | 5.71458i | 0.569764 | − | 0.193854i | ||||
\(870\) | 0.0186840 | + | 0.213018i | 0.000633446 | + | 0.00722200i | ||||
\(871\) | −45.3222 | − | 26.1668i | −1.53569 | − | 0.886628i | ||||
\(872\) | 13.7850 | + | 7.95877i | 0.466819 | + | 0.269518i | ||||
\(873\) | −7.16051 | + | 19.7003i | −0.242346 | + | 0.666755i | ||||
\(874\) | −9.76439 | −0.330285 | ||||||||
\(875\) | 4.55692 | + | 5.90370i | 0.154052 | + | 0.199581i | ||||
\(876\) | −6.89697 | − | 3.21426i | −0.233027 | − | 0.108600i | ||||
\(877\) | 27.9816 | − | 16.1552i | 0.944872 | − | 0.545522i | 0.0533875 | − | 0.998574i | \(-0.482998\pi\) |
0.891484 | + | 0.453052i | \(0.149665\pi\) | |||||||
\(878\) | −9.43561 | − | 5.44765i | −0.318436 | − | 0.183849i | ||||
\(879\) | 5.72297 | + | 8.16942i | 0.193031 | + | 0.275548i | ||||
\(880\) | 0.709044 | + | 0.620937i | 0.0239019 | + | 0.0209318i | ||||
\(881\) | 16.1735i | 0.544899i | 0.962170 | + | 0.272450i | \(0.0878338\pi\) | ||||
−0.962170 | + | 0.272450i | \(0.912166\pi\) | |||||||
\(882\) | 1.70149 | − | 20.9310i | 0.0572920 | − | 0.704782i | ||||
\(883\) | 9.98793 | 0.336121 | 0.168060 | − | 0.985777i | \(-0.446250\pi\) | ||||
0.168060 | + | 0.985777i | \(0.446250\pi\) | |||||||
\(884\) | 32.6418 | − | 18.8458i | 1.09786 | − | 0.633851i | ||||
\(885\) | −2.73366 | − | 3.90224i | −0.0918910 | − | 0.131172i | ||||
\(886\) | 12.2275 | + | 7.05956i | 0.410791 | + | 0.237171i | ||||
\(887\) | −16.1800 | − | 28.0247i | −0.543273 | − | 0.940976i | −0.998713 | − | 0.0507096i | \(-0.983852\pi\) |
0.455441 | − | 0.890266i | \(-0.349482\pi\) | |||||||
\(888\) | −8.15362 | + | 17.4956i | −0.273618 | + | 0.587112i | ||||
\(889\) | −8.98209 | − | 11.6367i | −0.301250 | − | 0.390282i | ||||
\(890\) | −4.86687 | −0.163138 | ||||||||
\(891\) | 18.7204 | + | 23.2497i | 0.627156 | + | 0.778894i | ||||
\(892\) | −0.543854 | + | 0.941983i | −0.0182096 | + | 0.0315399i | ||||
\(893\) | 11.0704 | − | 19.1745i | 0.370456 | − | 0.641649i | ||||
\(894\) | 20.4977 | − | 1.79787i | 0.685547 | − | 0.0601297i | ||||
\(895\) | −2.57282 | −0.0859998 | ||||||||
\(896\) | −2.44724 | − | 1.00550i | −0.0817565 | − | 0.0335913i | ||||
\(897\) | 7.92226 | − | 16.9991i | 0.264516 | − | 0.567584i | ||||
\(898\) | −30.6431 | + | 17.6918i | −1.02257 | + | 0.590382i | ||||
\(899\) | −1.58306 | + | 2.74194i | −0.0527980 | + | 0.0914489i | ||||
\(900\) | 14.5324 | − | 2.56905i | 0.484413 | − | 0.0856352i | ||||
\(901\) | −10.4085 | + | 6.00938i | −0.346759 | + | 0.200201i | ||||
\(902\) | −0.349027 | − | 1.02584i | −0.0116213 | − | 0.0341567i | ||||
\(903\) | −3.13765 | + | 10.0592i | −0.104414 | + | 0.334748i | ||||
\(904\) | 12.2685i | 0.408043i | ||||||||
\(905\) | 5.21610 | − | 3.01152i | 0.173389 | − | 0.100106i | ||||
\(906\) | 2.45503 | − | 1.71984i | 0.0815630 | − | 0.0571378i | ||||
\(907\) | 8.02681 | − | 13.9028i | 0.266526 | − | 0.461636i | −0.701436 | − | 0.712732i | \(-0.747458\pi\) |
0.967962 | + | 0.251096i | \(0.0807909\pi\) | |||||||
\(908\) | 4.48346 | + | 7.76558i | 0.148789 | + | 0.257710i | ||||
\(909\) | 21.2422 | + | 25.2928i | 0.704559 | + | 0.838910i | ||||
\(910\) | 0.604305 | + | 4.49096i | 0.0200325 | + | 0.148874i | ||||
\(911\) | 22.7800i | 0.754734i | 0.926064 | + | 0.377367i | \(0.123171\pi\) | ||||
−0.926064 | + | 0.377367i | \(0.876829\pi\) | |||||||
\(912\) | −0.822528 | − | 9.37775i | −0.0272366 | − | 0.310528i | ||||
\(913\) | −5.24554 | − | 1.03958i | −0.173602 | − | 0.0344052i | ||||
\(914\) | 2.96219 | + | 1.71022i | 0.0979805 | + | 0.0565690i | ||||
\(915\) | −1.91271 | + | 0.167765i | −0.0632324 | + | 0.00554615i | ||||
\(916\) | −12.4498 | −0.411353 | ||||||||
\(917\) | 46.2219 | + | 18.9912i | 1.52638 | + | 0.627145i | ||||
\(918\) | −31.3827 | + | 8.43118i | −1.03578 | + | 0.278271i | ||||
\(919\) | −26.9216 | + | 15.5432i | −0.888061 | + | 0.512722i | −0.873308 | − | 0.487169i | \(-0.838030\pi\) |
−0.0147535 | + | 0.999891i | \(0.504696\pi\) | |||||||
\(920\) | −0.255269 | + | 0.442138i | −0.00841596 | + | 0.0145769i | ||||
\(921\) | −15.0101 | + | 10.5151i | −0.494600 | + | 0.346485i | ||||
\(922\) | 6.52560 | + | 11.3027i | 0.214909 | + | 0.372234i | ||||
\(923\) | −23.4111 | −0.770587 | ||||||||
\(924\) | −12.9637 | + | 7.93370i | −0.426473 | + | 0.260999i | ||||
\(925\) | 54.8208 | 1.80250 | ||||||||
\(926\) | 9.04932 | + | 15.6739i | 0.297379 | + | 0.515076i | ||||
\(927\) | 22.9004 | − | 4.04836i | 0.752148 | − | 0.132966i | ||||
\(928\) | −0.217223 | + | 0.376241i | −0.00713070 | + | 0.0123507i | ||||
\(929\) | 9.05995 | − | 5.23076i | 0.297247 | − | 0.171616i | −0.343958 | − | 0.938985i | \(-0.611768\pi\) |
0.641206 | + | 0.767369i | \(0.278435\pi\) | |||||||
\(930\) | −3.25130 | − | 1.51523i | −0.106614 | − | 0.0496865i | ||||
\(931\) | 10.0567 | + | 36.6920i | 0.329593 | + | 1.20253i | ||||
\(932\) | 18.3861 | 0.602255 | ||||||||
\(933\) | −1.03180 | − | 11.7637i | −0.0337796 | − | 0.385126i | ||||
\(934\) | −5.31873 | − | 3.07077i | −0.174034 | − | 0.100479i | ||||
\(935\) | −1.14585 | + | 5.78171i | −0.0374732 | + | 0.189082i | ||||
\(936\) | 16.9934 | + | 6.17660i | 0.555445 | + | 0.201889i | ||||
\(937\) | 27.1309i | 0.886328i | 0.896441 | + | 0.443164i | \(0.146144\pi\) | ||||
−0.896441 | + | 0.443164i | \(0.853856\pi\) | |||||||
\(938\) | −18.1861 | + | 14.0374i | −0.593796 | + | 0.458337i | ||||
\(939\) | 19.9386 | − | 42.7831i | 0.650672 | − | 1.39617i | ||||
\(940\) | −0.578822 | − | 1.00255i | −0.0188791 | − | 0.0326995i | ||||
\(941\) | −9.89770 | + | 17.1433i | −0.322656 | + | 0.558856i | −0.981035 | − | 0.193830i | \(-0.937909\pi\) |
0.658379 | + | 0.752686i | \(0.271242\pi\) | |||||||
\(942\) | −11.0716 | − | 15.8044i | −0.360732 | − | 0.514937i | ||||
\(943\) | 0.508326 | − | 0.293482i | 0.0165534 | − | 0.00955709i | ||||
\(944\) | − | 9.67991i | − | 0.315054i | ||||||
\(945\) | 0.496305 | − | 3.87510i | 0.0161448 | − | 0.126057i | ||||
\(946\) | 7.21980 | − | 2.45643i | 0.234736 | − | 0.0798655i | ||||
\(947\) | 31.4053 | − | 18.1318i | 1.02053 | − | 0.589205i | 0.106275 | − | 0.994337i | \(-0.466108\pi\) |
0.914258 | + | 0.405131i | \(0.132774\pi\) | |||||||
\(948\) | −7.58843 | + | 5.31597i | −0.246461 | + | 0.172655i | ||||
\(949\) | −13.2388 | + | 22.9304i | −0.429751 | + | 0.744351i | ||||
\(950\) | −23.1543 | + | 13.3681i | −0.751224 | + | 0.433719i | ||||
\(951\) | −21.0496 | − | 9.80993i | −0.682579 | − | 0.318109i | ||||
\(952\) | −2.20653 | − | 16.3981i | −0.0715140 | − | 0.531465i | ||||
\(953\) | 39.1127 | 1.26699 | 0.633493 | − | 0.773749i | \(-0.281621\pi\) | ||||
0.633493 | + | 0.773749i | \(0.281621\pi\) | |||||||
\(954\) | −5.41870 | − | 1.96954i | −0.175437 | − | 0.0637663i | ||||
\(955\) | −1.76865 | + | 3.06338i | −0.0572320 | + | 0.0991288i | ||||
\(956\) | −12.4197 | + | 21.5116i | −0.401683 | + | 0.695735i | ||||
\(957\) | 1.00724 | + | 2.28342i | 0.0325594 | + | 0.0738125i | ||||
\(958\) | −7.26498 | −0.234721 | ||||||||
\(959\) | 44.3229 | − | 5.96409i | 1.43126 | − | 0.192591i | ||||
\(960\) | −0.446134 | − | 0.207916i | −0.0143989 | − | 0.00671047i | ||||
\(961\) | −11.0554 | − | 19.1485i | −0.356626 | − | 0.617695i | ||||
\(962\) | 58.1674 | + | 33.5830i | 1.87539 | + | 1.08276i | ||||
\(963\) | 43.2766 | − | 7.65049i | 1.39457 | − | 0.246533i | ||||
\(964\) | −7.62307 | + | 4.40118i | −0.245522 | + | 0.141752i | ||||
\(965\) | 4.25074 | 0.136836 | ||||||||
\(966\) | −5.58071 | − | 6.05278i | −0.179556 | − | 0.194745i | ||||
\(967\) | − | 50.7537i | − | 1.63213i | −0.577961 | − | 0.816064i | \(-0.696151\pi\) | ||
0.577961 | − | 0.816064i | \(-0.303849\pi\) | |||||||
\(968\) | 10.1686 | + | 4.19528i | 0.326830 | + | 0.134841i | ||||
\(969\) | 48.2171 | − | 33.7778i | 1.54896 | − | 1.08510i | ||||
\(970\) | −1.71954 | − | 0.992777i | −0.0552111 | − | 0.0318761i | ||||
\(971\) | −0.389942 | + | 0.225133i | −0.0125138 | + | 0.00722486i | −0.506244 | − | 0.862390i | \(-0.668966\pi\) |
0.493730 | + | 0.869615i | \(0.335633\pi\) | |||||||
\(972\) | −12.7792 | − | 8.92711i | −0.409892 | − | 0.286337i | ||||
\(973\) | −19.6106 | − | 25.4064i | −0.628686 | − | 0.814491i | ||||
\(974\) | −41.0670 | −1.31587 | ||||||||
\(975\) | −4.48693 | − | 51.1561i | −0.143697 | − | 1.63831i | ||||
\(976\) | −3.37831 | − | 1.95047i | −0.108137 | − | 0.0624330i | ||||
\(977\) | 4.01364 | + | 2.31728i | 0.128408 | + | 0.0741363i | 0.562828 | − | 0.826574i | \(-0.309713\pi\) |
−0.434420 | + | 0.900710i | \(0.643047\pi\) | |||||||
\(978\) | −1.43516 | + | 0.125879i | −0.0458915 | + | 0.00402517i | ||||
\(979\) | −53.7744 | + | 18.2960i | −1.71864 | + | 0.584742i | ||||
\(980\) | 1.92435 | + | 0.503861i | 0.0614711 | + | 0.0160952i | ||||
\(981\) | −36.5671 | + | 30.7109i | −1.16750 | + | 0.980524i | ||||
\(982\) | 17.9570 | + | 31.1025i | 0.573031 | + | 0.992520i | ||||
\(983\) | 28.8337 | + | 16.6472i | 0.919654 | + | 0.530962i | 0.883525 | − | 0.468385i | \(-0.155164\pi\) |
0.0361291 | + | 0.999347i | \(0.488497\pi\) | |||||||
\(984\) | 0.324681 | + | 0.463476i | 0.0103505 | + | 0.0147751i | ||||
\(985\) | −2.02944 | + | 1.17170i | −0.0646633 | + | 0.0373334i | ||||
\(986\) | −2.71692 | −0.0865244 | ||||||||
\(987\) | 18.2131 | − | 4.09658i | 0.579728 | − | 0.130395i | ||||
\(988\) | −32.7570 | −1.04214 | ||||||||
\(989\) | 2.06551 | + | 3.57756i | 0.0656793 | + | 0.113760i | ||||
\(990\) | −2.47739 | + | 1.36282i | −0.0787366 | + | 0.0433133i | ||||
\(991\) | 0.378039 | − | 0.654782i | 0.0120088 | − | 0.0207998i | −0.859959 | − | 0.510364i | \(-0.829511\pi\) |
0.871967 | + | 0.489564i | \(0.162844\pi\) | |||||||
\(992\) | −3.64386 | − | 6.31135i | −0.115693 | − | 0.200386i | ||||
\(993\) | 8.74990 | − | 18.7750i | 0.277670 | − | 0.595807i | ||||
\(994\) | −3.90572 | + | 9.50597i | −0.123882 | + | 0.301511i | ||||
\(995\) | − | 4.05479i | − | 0.128545i | ||||||
\(996\) | 2.78199 | − | 0.244010i | 0.0881507 | − | 0.00773175i | ||||
\(997\) | −27.9874 | − | 16.1585i | −0.886368 | − | 0.511745i | −0.0136154 | − | 0.999907i | \(-0.504334\pi\) |
−0.872753 | + | 0.488162i | \(0.837667\pi\) | |||||||
\(998\) | 6.45040 | − | 11.1724i | 0.204184 | − | 0.353657i | ||||
\(999\) | −40.9733 | − | 40.9192i | −1.29634 | − | 1.29462i |
(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 | 462.2.n.e.263.4 | yes | 24 | |
3.2 | odd | 2 | 462.2.n.f.263.12 | yes | 24 | ||
7.2 | even | 3 | inner | 462.2.n.e.65.12 | yes | 24 | |
11.10 | odd | 2 | 462.2.n.f.263.4 | yes | 24 | ||
21.2 | odd | 6 | 462.2.n.f.65.4 | yes | 24 | ||
33.32 | even | 2 | inner | 462.2.n.e.263.12 | yes | 24 | |
77.65 | odd | 6 | 462.2.n.f.65.12 | yes | 24 | ||
231.65 | even | 6 | inner | 462.2.n.e.65.4 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.n.e.65.4 | ✓ | 24 | 231.65 | even | 6 | inner | |
462.2.n.e.65.12 | yes | 24 | 7.2 | even | 3 | inner | |
462.2.n.e.263.4 | yes | 24 | 1.1 | even | 1 | trivial | |
462.2.n.e.263.12 | yes | 24 | 33.32 | even | 2 | inner | |
462.2.n.f.65.4 | yes | 24 | 21.2 | odd | 6 | ||
462.2.n.f.65.12 | yes | 24 | 77.65 | odd | 6 | ||
462.2.n.f.263.4 | yes | 24 | 11.10 | odd | 2 | ||
462.2.n.f.263.12 | yes | 24 | 3.2 | odd | 2 |