Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(101,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bn (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 173.16 | ||
Character | \(\chi\) | \(=\) | 546.173 |
Dual form | 546.2.bn.e.101.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 1.70046 | − | 0.329307i | 0.981760 | − | 0.190125i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.26448 | − | 0.730045i | −0.565491 | − | 0.326486i | 0.189856 | − | 0.981812i | \(-0.439198\pi\) |
−0.755346 | + | 0.655326i | \(0.772531\pi\) | |||||||
\(6\) | −1.13542 | − | 1.30799i | −0.463532 | − | 0.533983i | ||||
\(7\) | −2.63261 | − | 0.263392i | −0.995032 | − | 0.0995528i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.78311 | − | 1.11994i | 0.927705 | − | 0.373315i | ||||
\(10\) | 1.46009i | 0.461721i | ||||||||
\(11\) | 3.51948 | 1.06116 | 0.530581 | − | 0.847634i | \(-0.321974\pi\) | ||||
0.530581 | + | 0.847634i | \(0.321974\pi\) | |||||||
\(12\) | −0.565041 | + | 1.63729i | −0.163113 | + | 0.472646i | ||||
\(13\) | −0.214878 | − | 3.59914i | −0.0595966 | − | 0.998223i | ||||
\(14\) | 1.08820 | + | 2.41160i | 0.290834 | + | 0.644528i | ||||
\(15\) | −2.39060 | − | 0.825011i | −0.617249 | − | 0.213017i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.79359 | − | 6.57069i | 0.920080 | − | 1.59363i | 0.120793 | − | 0.992678i | \(-0.461456\pi\) |
0.799288 | − | 0.600948i | \(-0.205210\pi\) | |||||||
\(18\) | −2.36146 | − | 1.85028i | −0.556601 | − | 0.436114i | ||||
\(19\) | −3.45362 | −0.792316 | −0.396158 | − | 0.918182i | \(-0.629657\pi\) | ||||
−0.396158 | + | 0.918182i | \(0.629657\pi\) | |||||||
\(20\) | 1.26448 | − | 0.730045i | 0.282745 | − | 0.163243i | ||||
\(21\) | −4.56338 | + | 0.419048i | −0.995810 | + | 0.0914439i | ||||
\(22\) | −1.75974 | − | 3.04796i | −0.375177 | − | 0.649826i | ||||
\(23\) | −3.12372 | + | 1.80348i | −0.651341 | + | 0.376052i | −0.788970 | − | 0.614432i | \(-0.789385\pi\) |
0.137629 | + | 0.990484i | \(0.456052\pi\) | |||||||
\(24\) | 1.70046 | − | 0.329307i | 0.347105 | − | 0.0672194i | ||||
\(25\) | −1.43407 | − | 2.48388i | −0.286814 | − | 0.496776i | ||||
\(26\) | −3.00951 | + | 1.98566i | −0.590213 | + | 0.389420i | ||||
\(27\) | 4.36376 | − | 2.82092i | 0.839807 | − | 0.542885i | ||||
\(28\) | 1.54441 | − | 2.14821i | 0.291866 | − | 0.405973i | ||||
\(29\) | 0.170773 | + | 0.0985961i | 0.0317118 | + | 0.0183088i | 0.515772 | − | 0.856726i | \(-0.327505\pi\) |
−0.484060 | + | 0.875035i | \(0.660838\pi\) | |||||||
\(30\) | 0.480817 | + | 2.48282i | 0.0877849 | + | 0.453299i | ||||
\(31\) | −5.34484 | − | 9.25753i | −0.959961 | − | 1.66270i | −0.722584 | − | 0.691283i | \(-0.757046\pi\) |
−0.237377 | − | 0.971418i | \(-0.576288\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 5.98472 | − | 1.15899i | 1.04181 | − | 0.201754i | ||||
\(34\) | −7.58718 | −1.30119 | ||||||||
\(35\) | 3.13658 | + | 2.25498i | 0.530179 | + | 0.381160i | ||||
\(36\) | −0.421657 | + | 2.97022i | −0.0702762 | + | 0.495037i | ||||
\(37\) | −4.81918 | + | 2.78236i | −0.792269 | + | 0.457417i | −0.840761 | − | 0.541407i | \(-0.817892\pi\) |
0.0484917 | + | 0.998824i | \(0.484559\pi\) | |||||||
\(38\) | 1.72681 | + | 2.99093i | 0.280126 | + | 0.485192i | ||||
\(39\) | −1.55061 | − | 6.04943i | −0.248297 | − | 0.968684i | ||||
\(40\) | −1.26448 | − | 0.730045i | −0.199931 | − | 0.115430i | ||||
\(41\) | 2.60543 | + | 1.50425i | 0.406900 | + | 0.234924i | 0.689457 | − | 0.724327i | \(-0.257849\pi\) |
−0.282557 | + | 0.959250i | \(0.591183\pi\) | |||||||
\(42\) | 2.64459 | + | 3.74248i | 0.408070 | + | 0.577476i | ||||
\(43\) | 5.61139 | + | 9.71922i | 0.855730 | + | 1.48217i | 0.875967 | + | 0.482372i | \(0.160225\pi\) |
−0.0202369 | + | 0.999795i | \(0.506442\pi\) | |||||||
\(44\) | −1.75974 | + | 3.04796i | −0.265291 | + | 0.459497i | ||||
\(45\) | −4.33679 | − | 0.615658i | −0.646490 | − | 0.0917768i | ||||
\(46\) | 3.12372 | + | 1.80348i | 0.460568 | + | 0.265909i | ||||
\(47\) | 11.0787 | + | 6.39629i | 1.61599 | + | 0.932994i | 0.987942 | + | 0.154822i | \(0.0494803\pi\) |
0.628051 | + | 0.778172i | \(0.283853\pi\) | |||||||
\(48\) | −1.13542 | − | 1.30799i | −0.163883 | − | 0.188792i | ||||
\(49\) | 6.86125 | + | 1.38682i | 0.980178 | + | 0.198116i | ||||
\(50\) | −1.43407 | + | 2.48388i | −0.202808 | + | 0.351273i | ||||
\(51\) | 4.28707 | − | 12.4224i | 0.600309 | − | 1.73949i | ||||
\(52\) | 3.22439 | + | 1.61348i | 0.447142 | + | 0.223750i | ||||
\(53\) | 4.21555 | − | 2.43385i | 0.579051 | − | 0.334315i | −0.181705 | − | 0.983353i | \(-0.558162\pi\) |
0.760756 | + | 0.649038i | \(0.224828\pi\) | |||||||
\(54\) | −4.62487 | − | 2.36867i | −0.629365 | − | 0.322335i | ||||
\(55\) | −4.45029 | − | 2.56938i | −0.600077 | − | 0.346455i | ||||
\(56\) | −2.63261 | − | 0.263392i | −0.351797 | − | 0.0351972i | ||||
\(57\) | −5.87274 | + | 1.13730i | −0.777864 | + | 0.150639i | ||||
\(58\) | − | 0.197192i | − | 0.0258926i | ||||||
\(59\) | −1.13289 | − | 0.654074i | −0.147490 | − | 0.0851532i | 0.424439 | − | 0.905456i | \(-0.360471\pi\) |
−0.571929 | + | 0.820303i | \(0.693805\pi\) | |||||||
\(60\) | 1.90978 | − | 1.65781i | 0.246551 | − | 0.214023i | ||||
\(61\) | 0.999644i | 0.127991i | 0.997950 | + | 0.0639956i | \(0.0203844\pi\) | ||||
−0.997950 | + | 0.0639956i | \(0.979616\pi\) | |||||||
\(62\) | −5.34484 | + | 9.25753i | −0.678795 | + | 1.17571i | ||||
\(63\) | −7.62183 | + | 2.21532i | −0.960261 | + | 0.279105i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −2.35583 | + | 4.70790i | −0.292205 | + | 0.583943i | ||||
\(66\) | −3.99607 | − | 4.60343i | −0.491883 | − | 0.566643i | ||||
\(67\) | 5.52864i | 0.675431i | 0.941248 | + | 0.337715i | \(0.109654\pi\) | ||||
−0.941248 | + | 0.337715i | \(0.890346\pi\) | |||||||
\(68\) | 3.79359 | + | 6.57069i | 0.460040 | + | 0.796813i | ||||
\(69\) | −4.71786 | + | 4.09541i | −0.567964 | + | 0.493029i | ||||
\(70\) | 0.384576 | − | 3.84385i | 0.0459656 | − | 0.459427i | ||||
\(71\) | −5.33718 | − | 9.24427i | −0.633407 | − | 1.09709i | −0.986850 | − | 0.161637i | \(-0.948323\pi\) |
0.353443 | − | 0.935456i | \(-0.385011\pi\) | |||||||
\(72\) | 2.78311 | − | 1.11994i | 0.327993 | − | 0.131987i | ||||
\(73\) | 2.94410 | + | 5.09933i | 0.344581 | + | 0.596832i | 0.985278 | − | 0.170963i | \(-0.0546877\pi\) |
−0.640697 | + | 0.767794i | \(0.721354\pi\) | |||||||
\(74\) | 4.81918 | + | 2.78236i | 0.560219 | + | 0.323442i | ||||
\(75\) | −3.25653 | − | 3.75148i | −0.376032 | − | 0.433184i | ||||
\(76\) | 1.72681 | − | 2.99093i | 0.198079 | − | 0.343083i | ||||
\(77\) | −9.26540 | − | 0.927001i | −1.05589 | − | 0.105642i | ||||
\(78\) | −4.46365 | + | 4.36759i | −0.505409 | + | 0.494532i | ||||
\(79\) | 0.174645 | − | 0.302494i | 0.0196491 | − | 0.0340332i | −0.856034 | − | 0.516920i | \(-0.827078\pi\) |
0.875683 | + | 0.482887i | \(0.160412\pi\) | |||||||
\(80\) | 1.46009i | 0.163243i | ||||||||
\(81\) | 6.49145 | − | 6.23386i | 0.721272 | − | 0.692652i | ||||
\(82\) | − | 3.00849i | − | 0.332232i | ||||||
\(83\) | − | 3.72979i | − | 0.409398i | −0.978825 | − | 0.204699i | \(-0.934379\pi\) | ||
0.978825 | − | 0.204699i | \(-0.0656215\pi\) | |||||||
\(84\) | 1.91878 | − | 4.16152i | 0.209356 | − | 0.454059i | ||||
\(85\) | −9.59380 | + | 5.53898i | −1.04059 | + | 0.600787i | ||||
\(86\) | 5.61139 | − | 9.71922i | 0.605092 | − | 1.04805i | ||||
\(87\) | 0.322861 | + | 0.111422i | 0.0346144 | + | 0.0119457i | ||||
\(88\) | 3.51948 | 0.375177 | ||||||||
\(89\) | −12.5228 | + | 7.23003i | −1.32741 | + | 0.766382i | −0.984899 | − | 0.173131i | \(-0.944612\pi\) |
−0.342513 | + | 0.939513i | \(0.611278\pi\) | |||||||
\(90\) | 1.63522 | + | 4.06360i | 0.172367 | + | 0.428341i | ||||
\(91\) | −0.382294 | + | 9.53173i | −0.0400753 | + | 0.999197i | ||||
\(92\) | − | 3.60696i | − | 0.376052i | ||||||
\(93\) | −12.1372 | − | 13.9819i | −1.25857 | − | 1.44986i | ||||
\(94\) | − | 12.7926i | − | 1.31945i | ||||||
\(95\) | 4.36702 | + | 2.52130i | 0.448047 | + | 0.258680i | ||||
\(96\) | −0.565041 | + | 1.63729i | −0.0576693 | + | 0.167106i | ||||
\(97\) | 1.72747 | + | 2.99206i | 0.175398 | + | 0.303798i | 0.940299 | − | 0.340350i | \(-0.110545\pi\) |
−0.764901 | + | 0.644148i | \(0.777212\pi\) | |||||||
\(98\) | −2.22961 | − | 6.63542i | −0.225224 | − | 0.670279i | ||||
\(99\) | 9.79510 | − | 3.94162i | 0.984445 | − | 0.396147i | ||||
\(100\) | 2.86814 | 0.286814 | ||||||||
\(101\) | 11.6172 | 1.15596 | 0.577979 | − | 0.816052i | \(-0.303842\pi\) | ||||
0.577979 | + | 0.816052i | \(0.303842\pi\) | |||||||
\(102\) | −12.9017 | + | 2.49851i | −1.27746 | + | 0.247389i | ||||
\(103\) | 16.2249 | + | 9.36744i | 1.59869 | + | 0.923001i | 0.991741 | + | 0.128257i | \(0.0409381\pi\) |
0.606944 | + | 0.794745i | \(0.292395\pi\) | |||||||
\(104\) | −0.214878 | − | 3.59914i | −0.0210706 | − | 0.352925i | ||||
\(105\) | 6.07620 | + | 2.80159i | 0.592977 | + | 0.273408i | ||||
\(106\) | −4.21555 | − | 2.43385i | −0.409451 | − | 0.236397i | ||||
\(107\) | −0.303807 | + | 0.175403i | −0.0293701 | + | 0.0169568i | −0.514613 | − | 0.857422i | \(-0.672064\pi\) |
0.485243 | + | 0.874379i | \(0.338731\pi\) | |||||||
\(108\) | 0.261103 | + | 5.18959i | 0.0251246 | + | 0.499368i | ||||
\(109\) | 8.12542 | − | 4.69121i | 0.778274 | − | 0.449337i | −0.0575444 | − | 0.998343i | \(-0.518327\pi\) |
0.835818 | + | 0.549006i | \(0.184994\pi\) | |||||||
\(110\) | 5.13875i | 0.489961i | ||||||||
\(111\) | −7.27857 | + | 6.31827i | −0.690851 | + | 0.599704i | ||||
\(112\) | 1.08820 | + | 2.41160i | 0.102825 | + | 0.227875i | ||||
\(113\) | 5.03517 | − | 2.90706i | 0.473669 | − | 0.273473i | −0.244105 | − | 0.969749i | \(-0.578494\pi\) |
0.717774 | + | 0.696276i | \(0.245161\pi\) | |||||||
\(114\) | 3.92130 | + | 4.51729i | 0.367264 | + | 0.423083i | ||||
\(115\) | 5.26649 | 0.491103 | ||||||||
\(116\) | −0.170773 | + | 0.0985961i | −0.0158559 | + | 0.00915442i | ||||
\(117\) | −4.62887 | − | 9.77617i | −0.427939 | − | 0.903808i | ||||
\(118\) | 1.30815i | 0.120425i | ||||||||
\(119\) | −11.7177 | + | 16.2988i | −1.07416 | + | 1.49411i | ||||
\(120\) | −2.39060 | − | 0.825011i | −0.218231 | − | 0.0753129i | ||||
\(121\) | 1.38671 | 0.126065 | ||||||||
\(122\) | 0.865717 | − | 0.499822i | 0.0783783 | − | 0.0452518i | ||||
\(123\) | 4.92578 | + | 1.69992i | 0.444143 | + | 0.153277i | ||||
\(124\) | 10.6897 | 0.959961 | ||||||||
\(125\) | 11.4882i | 1.02754i | ||||||||
\(126\) | 5.72944 | + | 5.49304i | 0.510419 | + | 0.489359i | ||||
\(127\) | −7.87940 | + | 13.6475i | −0.699183 | + | 1.21102i | 0.269567 | + | 0.962982i | \(0.413120\pi\) |
−0.968750 | + | 0.248039i | \(0.920214\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 12.7425 | + | 14.6793i | 1.12192 | + | 1.29244i | ||||
\(130\) | 5.25507 | − | 0.313742i | 0.460901 | − | 0.0275170i | ||||
\(131\) | 6.32520 | − | 10.9556i | 0.552635 | − | 0.957192i | −0.445448 | − | 0.895308i | \(-0.646956\pi\) |
0.998083 | − | 0.0618843i | \(-0.0197110\pi\) | |||||||
\(132\) | −1.98865 | + | 5.76241i | −0.173090 | + | 0.501554i | ||||
\(133\) | 9.09204 | + | 0.909656i | 0.788380 | + | 0.0788772i | ||||
\(134\) | 4.78794 | − | 2.76432i | 0.413615 | − | 0.238801i | ||||
\(135\) | −7.57727 | + | 0.381234i | −0.652147 | + | 0.0328114i | ||||
\(136\) | 3.79359 | − | 6.57069i | 0.325298 | − | 0.563432i | ||||
\(137\) | 0.625790 | − | 1.08390i | 0.0534648 | − | 0.0926038i | −0.838054 | − | 0.545587i | \(-0.816307\pi\) |
0.891519 | + | 0.452983i | \(0.149640\pi\) | |||||||
\(138\) | 5.90566 | + | 2.03808i | 0.502723 | + | 0.173493i | ||||
\(139\) | −8.68419 | + | 5.01382i | −0.736583 | + | 0.425267i | −0.820826 | − | 0.571179i | \(-0.806486\pi\) |
0.0842424 | + | 0.996445i | \(0.473153\pi\) | |||||||
\(140\) | −3.52116 | + | 1.58887i | −0.297592 | + | 0.134284i | ||||
\(141\) | 20.9452 | + | 7.22833i | 1.76390 | + | 0.608735i | ||||
\(142\) | −5.33718 | + | 9.24427i | −0.447886 | + | 0.775762i | ||||
\(143\) | −0.756260 | − | 12.6671i | −0.0632416 | − | 1.05928i | ||||
\(144\) | −2.36146 | − | 1.85028i | −0.196788 | − | 0.154190i | ||||
\(145\) | −0.143959 | − | 0.249345i | −0.0119552 | − | 0.0207069i | ||||
\(146\) | 2.94410 | − | 5.09933i | 0.243655 | − | 0.422024i | ||||
\(147\) | 12.1240 | + | 0.0987658i | 0.999967 | + | 0.00814606i | ||||
\(148\) | − | 5.56471i | − | 0.457417i | ||||||
\(149\) | −3.24622 | −0.265941 | −0.132970 | − | 0.991120i | \(-0.542451\pi\) | ||||
−0.132970 | + | 0.991120i | \(0.542451\pi\) | |||||||
\(150\) | −1.62061 | + | 4.69598i | −0.132323 | + | 0.383425i | ||||
\(151\) | 8.04225 | − | 4.64320i | 0.654469 | − | 0.377858i | −0.135697 | − | 0.990750i | \(-0.543327\pi\) |
0.790166 | + | 0.612892i | \(0.209994\pi\) | |||||||
\(152\) | −3.45362 | −0.280126 | ||||||||
\(153\) | 3.19919 | − | 22.5356i | 0.258639 | − | 1.82189i | ||||
\(154\) | 3.82989 | + | 8.48757i | 0.308622 | + | 0.683948i | ||||
\(155\) | 15.6079i | 1.25366i | ||||||||
\(156\) | 6.01427 | + | 1.68184i | 0.481527 | + | 0.134655i | ||||
\(157\) | −16.2305 | + | 9.37071i | −1.29534 | + | 0.747864i | −0.979595 | − | 0.200981i | \(-0.935587\pi\) |
−0.315743 | + | 0.948845i | \(0.602254\pi\) | |||||||
\(158\) | −0.349290 | −0.0277880 | ||||||||
\(159\) | 6.36689 | − | 5.52687i | 0.504927 | − | 0.438309i | ||||
\(160\) | 1.26448 | − | 0.730045i | 0.0999656 | − | 0.0577151i | ||||
\(161\) | 8.69856 | − | 3.92510i | 0.685542 | − | 0.309341i | ||||
\(162\) | −8.64441 | − | 2.50483i | −0.679169 | − | 0.196798i | ||||
\(163\) | − | 0.909388i | − | 0.0712288i | −0.999366 | − | 0.0356144i | \(-0.988661\pi\) | ||
0.999366 | − | 0.0356144i | \(-0.0113388\pi\) | |||||||
\(164\) | −2.60543 | + | 1.50425i | −0.203450 | + | 0.117462i | ||||
\(165\) | −8.41365 | − | 2.90361i | −0.655002 | − | 0.226046i | ||||
\(166\) | −3.23009 | + | 1.86490i | −0.250704 | + | 0.144744i | ||||
\(167\) | 11.6602 | + | 6.73204i | 0.902297 | + | 0.520941i | 0.877945 | − | 0.478762i | \(-0.158914\pi\) |
0.0243520 | + | 0.999703i | \(0.492248\pi\) | |||||||
\(168\) | −4.56338 | + | 0.419048i | −0.352072 | + | 0.0323303i | ||||
\(169\) | −12.9077 | + | 1.54676i | −0.992896 | + | 0.118981i | ||||
\(170\) | 9.59380 | + | 5.53898i | 0.735811 | + | 0.424821i | ||||
\(171\) | −9.61183 | + | 3.86787i | −0.735035 | + | 0.295783i | ||||
\(172\) | −11.2228 | −0.855730 | ||||||||
\(173\) | 10.1687 | 0.773111 | 0.386556 | − | 0.922266i | \(-0.373665\pi\) | ||||
0.386556 | + | 0.922266i | \(0.373665\pi\) | |||||||
\(174\) | −0.0649367 | − | 0.335317i | −0.00492284 | − | 0.0254203i | ||||
\(175\) | 3.12110 | + | 6.91680i | 0.235933 | + | 0.522861i | ||||
\(176\) | −1.75974 | − | 3.04796i | −0.132645 | − | 0.229748i | ||||
\(177\) | −2.14182 | − | 0.739157i | −0.160989 | − | 0.0555585i | ||||
\(178\) | 12.5228 | + | 7.23003i | 0.938622 | + | 0.541914i | ||||
\(179\) | 8.54026i | 0.638329i | 0.947699 | + | 0.319164i | \(0.103402\pi\) | ||||
−0.947699 | + | 0.319164i | \(0.896598\pi\) | |||||||
\(180\) | 2.70157 | − | 3.44794i | 0.201363 | − | 0.256994i | ||||
\(181\) | − | 25.4759i | − | 1.89361i | −0.321810 | − | 0.946804i | \(-0.604291\pi\) | ||
0.321810 | − | 0.946804i | \(-0.395709\pi\) | |||||||
\(182\) | 8.44587 | − | 4.43479i | 0.626049 | − | 0.328728i | ||||
\(183\) | 0.329189 | + | 1.69985i | 0.0243344 | + | 0.125657i | ||||
\(184\) | −3.12372 | + | 1.80348i | −0.230284 | + | 0.132954i | ||||
\(185\) | 8.12499 | 0.597361 | ||||||||
\(186\) | −6.04010 | + | 17.5021i | −0.442882 | + | 1.28332i | ||||
\(187\) | 13.3514 | − | 23.1254i | 0.976354 | − | 1.69110i | ||||
\(188\) | −11.0787 | + | 6.39629i | −0.807997 | + | 0.466497i | ||||
\(189\) | −12.2311 | + | 6.27699i | −0.889681 | + | 0.456583i | ||||
\(190\) | − | 5.04260i | − | 0.365829i | ||||||
\(191\) | 20.7254i | 1.49964i | 0.661642 | + | 0.749819i | \(0.269860\pi\) | ||||
−0.661642 | + | 0.749819i | \(0.730140\pi\) | |||||||
\(192\) | 1.70046 | − | 0.329307i | 0.122720 | − | 0.0237657i | ||||
\(193\) | − | 9.48648i | − | 0.682852i | −0.939909 | − | 0.341426i | \(-0.889090\pi\) | ||
0.939909 | − | 0.341426i | \(-0.110910\pi\) | |||||||
\(194\) | 1.72747 | − | 2.99206i | 0.124025 | − | 0.214818i | ||||
\(195\) | −2.45565 | + | 8.78137i | −0.175852 | + | 0.628847i | ||||
\(196\) | −4.63164 | + | 5.24861i | −0.330832 | + | 0.374901i | ||||
\(197\) | −3.21420 | + | 5.56716i | −0.229002 | + | 0.396644i | −0.957513 | − | 0.288391i | \(-0.906880\pi\) |
0.728510 | + | 0.685035i | \(0.240213\pi\) | |||||||
\(198\) | −8.31109 | − | 6.51200i | −0.590644 | − | 0.462788i | ||||
\(199\) | 1.09564 | + | 0.632567i | 0.0776678 | + | 0.0448415i | 0.538331 | − | 0.842734i | \(-0.319055\pi\) |
−0.460663 | + | 0.887575i | \(0.652388\pi\) | |||||||
\(200\) | −1.43407 | − | 2.48388i | −0.101404 | − | 0.175637i | ||||
\(201\) | 1.82062 | + | 9.40122i | 0.128416 | + | 0.663111i | ||||
\(202\) | −5.80861 | − | 10.0608i | −0.408693 | − | 0.707876i | ||||
\(203\) | −0.423610 | − | 0.304545i | −0.0297316 | − | 0.0213749i | ||||
\(204\) | 8.61461 | + | 9.92393i | 0.603143 | + | 0.694814i | ||||
\(205\) | −2.19633 | − | 3.80416i | −0.153399 | − | 0.265694i | ||||
\(206\) | − | 18.7349i | − | 1.30532i | ||||||
\(207\) | −6.67388 | + | 8.51769i | −0.463867 | + | 0.592020i | ||||
\(208\) | −3.00951 | + | 1.98566i | −0.208672 | + | 0.137681i | ||||
\(209\) | −12.1549 | −0.840775 | ||||||||
\(210\) | −0.611849 | − | 6.66294i | −0.0422216 | − | 0.459787i | ||||
\(211\) | −6.24577 | + | 10.8180i | −0.429977 | + | 0.744742i | −0.996871 | − | 0.0790492i | \(-0.974812\pi\) |
0.566894 | + | 0.823791i | \(0.308145\pi\) | |||||||
\(212\) | 4.86770i | 0.334315i | ||||||||
\(213\) | −12.1199 | − | 13.9619i | −0.830438 | − | 0.956655i | ||||
\(214\) | 0.303807 | + | 0.175403i | 0.0207678 | + | 0.0119903i | ||||
\(215\) | − | 16.3863i | − | 1.11754i | ||||||
\(216\) | 4.36376 | − | 2.82092i | 0.296917 | − | 0.191939i | ||||
\(217\) | 11.6325 | + | 25.7792i | 0.789666 | + | 1.75001i | ||||
\(218\) | −8.12542 | − | 4.69121i | −0.550323 | − | 0.317729i | ||||
\(219\) | 6.68556 | + | 7.70169i | 0.451768 | + | 0.520432i | ||||
\(220\) | 4.45029 | − | 2.56938i | 0.300039 | − | 0.173227i | ||||
\(221\) | −24.4640 | − | 12.2418i | −1.64563 | − | 0.823470i | ||||
\(222\) | 9.11107 | + | 3.14429i | 0.611495 | + | 0.211031i | ||||
\(223\) | 3.78556 | − | 6.55677i | 0.253500 | − | 0.439074i | −0.710987 | − | 0.703205i | \(-0.751752\pi\) |
0.964487 | + | 0.264131i | \(0.0850850\pi\) | |||||||
\(224\) | 1.54441 | − | 2.14821i | 0.103190 | − | 0.143533i | ||||
\(225\) | −6.77298 | − | 5.30684i | −0.451532 | − | 0.353789i | ||||
\(226\) | −5.03517 | − | 2.90706i | −0.334935 | − | 0.193375i | ||||
\(227\) | 22.0466 | + | 12.7286i | 1.46328 | + | 0.844826i | 0.999161 | − | 0.0409469i | \(-0.0130374\pi\) |
0.464120 | + | 0.885773i | \(0.346371\pi\) | |||||||
\(228\) | 1.95144 | − | 5.65459i | 0.129237 | − | 0.374485i | ||||
\(229\) | −5.51406 | + | 9.55063i | −0.364379 | + | 0.631124i | −0.988676 | − | 0.150063i | \(-0.952052\pi\) |
0.624297 | + | 0.781187i | \(0.285386\pi\) | |||||||
\(230\) | −2.63325 | − | 4.56092i | −0.173631 | − | 0.300738i | ||||
\(231\) | −16.0607 | + | 1.47483i | −1.05672 | + | 0.0970368i | ||||
\(232\) | 0.170773 | + | 0.0985961i | 0.0112118 | + | 0.00647315i | ||||
\(233\) | −6.18721 | − | 3.57219i | −0.405338 | − | 0.234022i | 0.283447 | − | 0.958988i | \(-0.408522\pi\) |
−0.688785 | + | 0.724966i | \(0.741855\pi\) | |||||||
\(234\) | −6.15198 | + | 8.89681i | −0.402167 | + | 0.581602i | ||||
\(235\) | −9.33916 | − | 16.1759i | −0.609219 | − | 1.05520i | ||||
\(236\) | 1.13289 | − | 0.654074i | 0.0737448 | − | 0.0425766i | ||||
\(237\) | 0.197363 | − | 0.571890i | 0.0128201 | − | 0.0371482i | ||||
\(238\) | 19.9741 | + | 1.99840i | 1.29473 | + | 0.129537i | ||||
\(239\) | −7.32463 | −0.473791 | −0.236896 | − | 0.971535i | \(-0.576130\pi\) | ||||
−0.236896 | + | 0.971535i | \(0.576130\pi\) | |||||||
\(240\) | 0.480817 | + | 2.48282i | 0.0310366 | + | 0.160266i | ||||
\(241\) | 8.71341 | − | 15.0921i | 0.561280 | − | 0.972165i | −0.436105 | − | 0.899896i | \(-0.643643\pi\) |
0.997385 | − | 0.0722695i | \(-0.0230242\pi\) | |||||||
\(242\) | −0.693357 | − | 1.20093i | −0.0445707 | − | 0.0771986i | ||||
\(243\) | 8.98559 | − | 12.7381i | 0.576426 | − | 0.817150i | ||||
\(244\) | −0.865717 | − | 0.499822i | −0.0554219 | − | 0.0319978i | ||||
\(245\) | −7.66344 | − | 6.76262i | −0.489600 | − | 0.432048i | ||||
\(246\) | −0.990716 | − | 5.11581i | −0.0631657 | − | 0.326172i | ||||
\(247\) | 0.742109 | + | 12.4301i | 0.0472193 | + | 0.790907i | ||||
\(248\) | −5.34484 | − | 9.25753i | −0.339397 | − | 0.587854i | ||||
\(249\) | −1.22824 | − | 6.34235i | −0.0778368 | − | 0.401930i | ||||
\(250\) | 9.94906 | − | 5.74410i | 0.629234 | − | 0.363288i | ||||
\(251\) | −6.39321 | − | 11.0734i | −0.403536 | − | 0.698944i | 0.590614 | − | 0.806954i | \(-0.298886\pi\) |
−0.994150 | + | 0.108010i | \(0.965552\pi\) | |||||||
\(252\) | 1.89239 | − | 7.70836i | 0.119209 | − | 0.485581i | ||||
\(253\) | −10.9939 | + | 6.34731i | −0.691178 | + | 0.399052i | ||||
\(254\) | 15.7588 | 0.988795 | ||||||||
\(255\) | −14.4898 | + | 12.5781i | −0.907388 | + | 0.787672i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −10.6730 | − | 18.4862i | −0.665764 | − | 1.15314i | −0.979078 | − | 0.203487i | \(-0.934772\pi\) |
0.313314 | − | 0.949650i | \(-0.398561\pi\) | |||||||
\(258\) | 6.34134 | − | 18.3750i | 0.394794 | − | 1.14398i | ||||
\(259\) | 13.4199 | − | 6.05552i | 0.833870 | − | 0.376272i | ||||
\(260\) | −2.89925 | − | 4.39416i | −0.179804 | − | 0.272514i | ||||
\(261\) | 0.585704 | + | 0.0831475i | 0.0362542 | + | 0.00514670i | ||||
\(262\) | −12.6504 | −0.781544 | ||||||||
\(263\) | 15.9137i | 0.981283i | 0.871362 | + | 0.490641i | \(0.163237\pi\) | ||||
−0.871362 | + | 0.490641i | \(0.836763\pi\) | |||||||
\(264\) | 5.98472 | − | 1.15899i | 0.368334 | − | 0.0713307i | ||||
\(265\) | −7.10729 | −0.436597 | ||||||||
\(266\) | −3.75823 | − | 8.32876i | −0.230432 | − | 0.510669i | ||||
\(267\) | −18.9136 | + | 16.4182i | −1.15749 | + | 1.00478i | ||||
\(268\) | −4.78794 | − | 2.76432i | −0.292470 | − | 0.168858i | ||||
\(269\) | −7.74959 | + | 13.4227i | −0.472501 | + | 0.818396i | −0.999505 | − | 0.0314670i | \(-0.989982\pi\) |
0.527004 | + | 0.849863i | \(0.323315\pi\) | |||||||
\(270\) | 4.11879 | + | 6.37149i | 0.250662 | + | 0.387757i | ||||
\(271\) | 7.49829 | + | 12.9874i | 0.455489 | + | 0.788930i | 0.998716 | − | 0.0506559i | \(-0.0161312\pi\) |
−0.543227 | + | 0.839586i | \(0.682798\pi\) | |||||||
\(272\) | −7.58718 | −0.460040 | ||||||||
\(273\) | 2.48879 | + | 16.3342i | 0.150628 | + | 0.988590i | ||||
\(274\) | −1.25158 | −0.0756107 | ||||||||
\(275\) | −5.04717 | − | 8.74195i | −0.304356 | − | 0.527159i | ||||
\(276\) | −1.18780 | − | 6.13349i | −0.0714970 | − | 0.369193i | ||||
\(277\) | 0.359676 | − | 0.622977i | 0.0216108 | − | 0.0374310i | −0.855018 | − | 0.518599i | \(-0.826454\pi\) |
0.876629 | + | 0.481168i | \(0.159787\pi\) | |||||||
\(278\) | 8.68419 | + | 5.01382i | 0.520843 | + | 0.300709i | ||||
\(279\) | −25.2432 | − | 19.7788i | −1.51127 | − | 1.18413i | ||||
\(280\) | 3.13658 | + | 2.25498i | 0.187447 | + | 0.134761i | ||||
\(281\) | −7.30448 | −0.435749 | −0.217874 | − | 0.975977i | \(-0.569912\pi\) | ||||
−0.217874 | + | 0.975977i | \(0.569912\pi\) | |||||||
\(282\) | −4.21268 | − | 21.7532i | −0.250861 | − | 1.29539i | ||||
\(283\) | − | 14.9247i | − | 0.887180i | −0.896230 | − | 0.443590i | \(-0.853705\pi\) | ||
0.896230 | − | 0.443590i | \(-0.146295\pi\) | |||||||
\(284\) | 10.6744 | 0.633407 | ||||||||
\(285\) | 8.25622 | + | 2.84928i | 0.489056 | + | 0.168777i | ||||
\(286\) | −10.5919 | + | 6.98849i | −0.626312 | + | 0.413238i | ||||
\(287\) | −6.46287 | − | 4.64634i | −0.381491 | − | 0.274265i | ||||
\(288\) | −0.421657 | + | 2.97022i | −0.0248464 | + | 0.175022i | ||||
\(289\) | −20.2826 | − | 35.1306i | −1.19310 | − | 2.06650i | ||||
\(290\) | −0.143959 | + | 0.249345i | −0.00845358 | + | 0.0146420i | ||||
\(291\) | 3.92279 | + | 4.51901i | 0.229958 | + | 0.264909i | ||||
\(292\) | −5.88820 | −0.344581 | ||||||||
\(293\) | 13.1158 | − | 7.57239i | 0.766231 | − | 0.442384i | −0.0652973 | − | 0.997866i | \(-0.520800\pi\) |
0.831529 | + | 0.555482i | \(0.187466\pi\) | |||||||
\(294\) | −5.97644 | − | 10.5490i | −0.348553 | − | 0.615232i | ||||
\(295\) | 0.955007 | + | 1.65412i | 0.0556027 | + | 0.0963066i | ||||
\(296\) | −4.81918 | + | 2.78236i | −0.280109 | + | 0.161721i | ||||
\(297\) | 15.3582 | − | 9.92815i | 0.891171 | − | 0.576089i | ||||
\(298\) | 1.62311 | + | 2.81131i | 0.0940242 | + | 0.162855i | ||||
\(299\) | 7.16221 | + | 10.8552i | 0.414201 | + | 0.627772i | ||||
\(300\) | 4.87714 | − | 0.944496i | 0.281582 | − | 0.0545305i | ||||
\(301\) | −12.2126 | − | 27.0649i | −0.703925 | − | 1.55999i | ||||
\(302\) | −8.04225 | − | 4.64320i | −0.462780 | − | 0.267186i | ||||
\(303\) | 19.7546 | − | 3.82563i | 1.13487 | − | 0.219777i | ||||
\(304\) | 1.72681 | + | 2.99093i | 0.0990395 | + | 0.171541i | ||||
\(305\) | 0.729785 | − | 1.26403i | 0.0417874 | − | 0.0723779i | ||||
\(306\) | −21.1160 | + | 8.49721i | −1.20712 | + | 0.485753i | ||||
\(307\) | −0.289284 | −0.0165103 | −0.00825515 | − | 0.999966i | \(-0.502628\pi\) | ||||
−0.00825515 | + | 0.999966i | \(0.502628\pi\) | |||||||
\(308\) | 5.43551 | − | 7.56057i | 0.309717 | − | 0.430804i | ||||
\(309\) | 30.6745 | + | 10.5860i | 1.74501 | + | 0.602215i | ||||
\(310\) | 13.5168 | − | 7.80394i | 0.767704 | − | 0.443234i | ||||
\(311\) | −5.96970 | − | 10.3398i | −0.338511 | − | 0.586318i | 0.645642 | − | 0.763640i | \(-0.276590\pi\) |
−0.984153 | + | 0.177322i | \(0.943256\pi\) | |||||||
\(312\) | −1.55061 | − | 6.04943i | −0.0877862 | − | 0.342482i | ||||
\(313\) | −7.95301 | − | 4.59167i | −0.449530 | − | 0.259537i | 0.258101 | − | 0.966118i | \(-0.416903\pi\) |
−0.707632 | + | 0.706581i | \(0.750236\pi\) | |||||||
\(314\) | 16.2305 | + | 9.37071i | 0.915942 | + | 0.528820i | ||||
\(315\) | 11.2549 | + | 2.76306i | 0.634142 | + | 0.155681i | ||||
\(316\) | 0.174645 | + | 0.302494i | 0.00982454 | + | 0.0170166i | ||||
\(317\) | 11.5121 | − | 19.9395i | 0.646582 | − | 1.11991i | −0.337352 | − | 0.941379i | \(-0.609531\pi\) |
0.983934 | − | 0.178534i | \(-0.0571356\pi\) | |||||||
\(318\) | −7.96985 | − | 2.75045i | −0.446927 | − | 0.154238i | ||||
\(319\) | 0.601033 | + | 0.347007i | 0.0336514 | + | 0.0194286i | ||||
\(320\) | −1.26448 | − | 0.730045i | −0.0706863 | − | 0.0408108i | ||||
\(321\) | −0.458849 | + | 0.398311i | −0.0256105 | + | 0.0222315i | ||||
\(322\) | −7.74851 | − | 5.57062i | −0.431808 | − | 0.310439i | ||||
\(323\) | −13.1016 | + | 22.6927i | −0.728994 | + | 1.26265i | ||||
\(324\) | 2.15296 | + | 8.73869i | 0.119609 | + | 0.485483i | ||||
\(325\) | −8.63168 | + | 5.69515i | −0.478800 | + | 0.315910i | ||||
\(326\) | −0.787553 | + | 0.454694i | −0.0436185 | + | 0.0251832i | ||||
\(327\) | 12.2721 | − | 10.6530i | 0.678648 | − | 0.589110i | ||||
\(328\) | 2.60543 | + | 1.50425i | 0.143861 | + | 0.0830581i | ||||
\(329\) | −27.4811 | − | 19.7569i | −1.51508 | − | 1.08924i | ||||
\(330\) | 1.69223 | + | 8.73824i | 0.0931540 | + | 0.481024i | ||||
\(331\) | 23.6690i | 1.30097i | 0.759521 | + | 0.650483i | \(0.225434\pi\) | ||||
−0.759521 | + | 0.650483i | \(0.774566\pi\) | |||||||
\(332\) | 3.23009 | + | 1.86490i | 0.177274 | + | 0.102349i | ||||
\(333\) | −10.2963 | + | 13.1408i | −0.564231 | + | 0.720113i | ||||
\(334\) | − | 13.4641i | − | 0.736722i | ||||||
\(335\) | 4.03616 | − | 6.99083i | 0.220519 | − | 0.381950i | ||||
\(336\) | 2.64459 | + | 3.74248i | 0.144274 | + | 0.204169i | ||||
\(337\) | 19.1537 | 1.04337 | 0.521684 | − | 0.853139i | \(-0.325304\pi\) | ||||
0.521684 | + | 0.853139i | \(0.325304\pi\) | |||||||
\(338\) | 7.79336 | + | 10.4050i | 0.423903 | + | 0.565956i | ||||
\(339\) | 7.60478 | − | 6.60144i | 0.413035 | − | 0.358541i | ||||
\(340\) | − | 11.0780i | − | 0.600787i | ||||||
\(341\) | −18.8110 | − | 32.5816i | −1.01867 | − | 1.76439i | ||||
\(342\) | 8.15558 | + | 6.39016i | 0.441004 | + | 0.345540i | ||||
\(343\) | −17.6977 | − | 5.45814i | −0.955586 | − | 0.294712i | ||||
\(344\) | 5.61139 | + | 9.71922i | 0.302546 | + | 0.524025i | ||||
\(345\) | 8.95545 | − | 1.73429i | 0.482145 | − | 0.0933711i | ||||
\(346\) | −5.08435 | − | 8.80635i | −0.273336 | − | 0.473432i | ||||
\(347\) | 27.4634 | + | 15.8560i | 1.47431 | + | 0.851194i | 0.999581 | − | 0.0289382i | \(-0.00921259\pi\) |
0.474729 | + | 0.880132i | \(0.342546\pi\) | |||||||
\(348\) | −0.257925 | + | 0.223895i | −0.0138262 | + | 0.0120020i | ||||
\(349\) | 3.87835 | − | 6.71749i | 0.207603 | − | 0.359579i | −0.743356 | − | 0.668896i | \(-0.766767\pi\) |
0.950959 | + | 0.309317i | \(0.100100\pi\) | |||||||
\(350\) | 4.42957 | − | 6.16136i | 0.236771 | − | 0.329338i | ||||
\(351\) | −11.0906 | − | 15.0997i | −0.591970 | − | 0.805960i | ||||
\(352\) | −1.75974 | + | 3.04796i | −0.0937944 | + | 0.162457i | ||||
\(353\) | 0.567754i | 0.0302185i | 0.999886 | + | 0.0151092i | \(0.00480960\pi\) | ||||
−0.999886 | + | 0.0151092i | \(0.995190\pi\) | |||||||
\(354\) | 0.430782 | + | 2.22445i | 0.0228958 | + | 0.118228i | ||||
\(355\) | 15.5855i | 0.827194i | ||||||||
\(356\) | − | 14.4601i | − | 0.766382i | ||||||
\(357\) | −14.5581 | + | 31.5742i | −0.770498 | + | 1.67108i | ||||
\(358\) | 7.39608 | − | 4.27013i | 0.390895 | − | 0.225683i | ||||
\(359\) | −3.12906 | + | 5.41969i | −0.165145 | + | 0.286040i | −0.936707 | − | 0.350115i | \(-0.886143\pi\) |
0.771562 | + | 0.636155i | \(0.219476\pi\) | |||||||
\(360\) | −4.33679 | − | 0.615658i | −0.228569 | − | 0.0324480i | ||||
\(361\) | −7.07248 | −0.372236 | ||||||||
\(362\) | −22.0628 | + | 12.7380i | −1.15959 | + | 0.669492i | ||||
\(363\) | 2.35805 | − | 0.456654i | 0.123765 | − | 0.0239681i | ||||
\(364\) | −8.06357 | − | 5.09694i | −0.422646 | − | 0.267152i | ||||
\(365\) | − | 8.59731i | − | 0.450004i | ||||||
\(366\) | 1.30752 | − | 1.13501i | 0.0683452 | − | 0.0593281i | ||||
\(367\) | 21.5855i | 1.12676i | 0.826199 | + | 0.563378i | \(0.190499\pi\) | ||||
−0.826199 | + | 0.563378i | \(0.809501\pi\) | |||||||
\(368\) | 3.12372 | + | 1.80348i | 0.162835 | + | 0.0940130i | ||||
\(369\) | 8.93588 | + | 1.26855i | 0.465183 | + | 0.0660382i | ||||
\(370\) | −4.06249 | − | 7.03645i | −0.211199 | − | 0.365807i | ||||
\(371\) | −11.7390 | + | 5.29703i | −0.609456 | + | 0.275008i | ||||
\(372\) | 18.1773 | − | 3.52018i | 0.942451 | − | 0.182513i | ||||
\(373\) | −0.756112 | −0.0391500 | −0.0195750 | − | 0.999808i | \(-0.506231\pi\) | ||||
−0.0195750 | + | 0.999808i | \(0.506231\pi\) | |||||||
\(374\) | −26.7029 | −1.38077 | ||||||||
\(375\) | 3.78314 | + | 19.5352i | 0.195360 | + | 1.00879i | ||||
\(376\) | 11.0787 | + | 6.39629i | 0.571340 | + | 0.329863i | ||||
\(377\) | 0.318166 | − | 0.635824i | 0.0163864 | − | 0.0327466i | ||||
\(378\) | 11.5516 | + | 7.45394i | 0.594149 | + | 0.383389i | ||||
\(379\) | 6.26101 | + | 3.61480i | 0.321607 | + | 0.185680i | 0.652108 | − | 0.758126i | \(-0.273885\pi\) |
−0.330502 | + | 0.943805i | \(0.607218\pi\) | |||||||
\(380\) | −4.36702 | + | 2.52130i | −0.224024 | + | 0.129340i | ||||
\(381\) | −8.90437 | + | 25.8018i | −0.456184 | + | 1.32186i | ||||
\(382\) | 17.9487 | − | 10.3627i | 0.918338 | − | 0.530202i | ||||
\(383\) | − | 1.34855i | − | 0.0689079i | −0.999406 | − | 0.0344540i | \(-0.989031\pi\) | ||
0.999406 | − | 0.0344540i | \(-0.0109692\pi\) | |||||||
\(384\) | −1.13542 | − | 1.30799i | −0.0579415 | − | 0.0667479i | ||||
\(385\) | 11.0391 | + | 7.93633i | 0.562606 | + | 0.404473i | ||||
\(386\) | −8.21554 | + | 4.74324i | −0.418160 | + | 0.241425i | ||||
\(387\) | 26.5021 | + | 20.7653i | 1.34718 | + | 1.05556i | ||||
\(388\) | −3.45494 | −0.175398 | ||||||||
\(389\) | 3.70239 | − | 2.13758i | 0.187719 | − | 0.108379i | −0.403196 | − | 0.915114i | \(-0.632101\pi\) |
0.590914 | + | 0.806734i | \(0.298767\pi\) | |||||||
\(390\) | 8.83272 | − | 2.26404i | 0.447262 | − | 0.114644i | ||||
\(391\) | 27.3667i | 1.38399i | ||||||||
\(392\) | 6.86125 | + | 1.38682i | 0.346545 | + | 0.0700447i | ||||
\(393\) | 7.14799 | − | 20.7124i | 0.360569 | − | 1.04480i | ||||
\(394\) | 6.42840 | 0.323858 | ||||||||
\(395\) | −0.441668 | + | 0.254997i | −0.0222228 | + | 0.0128303i | ||||
\(396\) | −1.48401 | + | 10.4536i | −0.0745744 | + | 0.525314i | ||||
\(397\) | −5.72958 | −0.287560 | −0.143780 | − | 0.989610i | \(-0.545926\pi\) | ||||
−0.143780 | + | 0.989610i | \(0.545926\pi\) | |||||||
\(398\) | − | 1.26513i | − | 0.0634155i | ||||||
\(399\) | 15.7602 | − | 1.44724i | 0.788996 | − | 0.0724524i | ||||
\(400\) | −1.43407 | + | 2.48388i | −0.0717034 | + | 0.124194i | ||||
\(401\) | 10.9880 | + | 19.0318i | 0.548717 | + | 0.950405i | 0.998363 | + | 0.0571984i | \(0.0182168\pi\) |
−0.449646 | + | 0.893207i | \(0.648450\pi\) | |||||||
\(402\) | 7.23138 | − | 6.27731i | 0.360669 | − | 0.313084i | ||||
\(403\) | −32.1707 | + | 21.2261i | −1.60254 | + | 1.05735i | ||||
\(404\) | −5.80861 | + | 10.0608i | −0.288989 | + | 0.500544i | ||||
\(405\) | −12.7593 | + | 3.14352i | −0.634014 | + | 0.156203i | ||||
\(406\) | −0.0519388 | + | 0.519130i | −0.00257768 | + | 0.0257640i | ||||
\(407\) | −16.9610 | + | 9.79244i | −0.840726 | + | 0.485393i | ||||
\(408\) | 4.28707 | − | 12.4224i | 0.212241 | − | 0.615002i | ||||
\(409\) | −4.21950 | + | 7.30838i | −0.208641 | + | 0.361376i | −0.951287 | − | 0.308308i | \(-0.900237\pi\) |
0.742646 | + | 0.669684i | \(0.233571\pi\) | |||||||
\(410\) | −2.19633 | + | 3.80416i | −0.108469 | + | 0.187874i | ||||
\(411\) | 0.707194 | − | 2.04920i | 0.0348833 | − | 0.101080i | ||||
\(412\) | −16.2249 | + | 9.36744i | −0.799343 | + | 0.461501i | ||||
\(413\) | 2.81017 | + | 2.02031i | 0.138280 | + | 0.0994131i | ||||
\(414\) | 10.7135 | + | 1.52090i | 0.526539 | + | 0.0747483i | ||||
\(415\) | −2.72292 | + | 4.71623i | −0.133663 | + | 0.231511i | ||||
\(416\) | 3.22439 | + | 1.61348i | 0.158089 | + | 0.0791074i | ||||
\(417\) | −13.1160 | + | 11.3856i | −0.642294 | + | 0.557553i | ||||
\(418\) | 6.07747 | + | 10.5265i | 0.297259 | + | 0.514868i | ||||
\(419\) | 12.4744 | − | 21.6063i | 0.609413 | − | 1.05553i | −0.381924 | − | 0.924194i | \(-0.624738\pi\) |
0.991337 | − | 0.131341i | \(-0.0419282\pi\) | |||||||
\(420\) | −5.46435 | + | 3.86135i | −0.266633 | + | 0.188414i | ||||
\(421\) | − | 23.2628i | − | 1.13376i | −0.823800 | − | 0.566881i | \(-0.808150\pi\) | ||
0.823800 | − | 0.566881i | \(-0.191850\pi\) | |||||||
\(422\) | 12.4915 | 0.608079 | ||||||||
\(423\) | 37.9967 | + | 5.39408i | 1.84746 | + | 0.262269i | ||||
\(424\) | 4.21555 | − | 2.43385i | 0.204725 | − | 0.118198i | ||||
\(425\) | −21.7611 | −1.05557 | ||||||||
\(426\) | −6.03145 | + | 17.4771i | −0.292225 | + | 0.846766i | ||||
\(427\) | 0.263298 | − | 2.63167i | 0.0127419 | − | 0.127355i | ||||
\(428\) | − | 0.350806i | − | 0.0169568i | ||||||
\(429\) | −5.45735 | − | 21.2908i | −0.263483 | − | 1.02793i | ||||
\(430\) | −14.1909 | + | 8.19314i | −0.684348 | + | 0.395108i | ||||
\(431\) | 22.7370 | 1.09520 | 0.547602 | − | 0.836739i | \(-0.315541\pi\) | ||||
0.547602 | + | 0.836739i | \(0.315541\pi\) | |||||||
\(432\) | −4.62487 | − | 2.36867i | −0.222514 | − | 0.113963i | ||||
\(433\) | −11.9025 | + | 6.87194i | −0.572000 | + | 0.330244i | −0.757948 | − | 0.652315i | \(-0.773798\pi\) |
0.185948 | + | 0.982560i | \(0.440464\pi\) | |||||||
\(434\) | 16.5092 | − | 22.9637i | 0.792468 | − | 1.10229i | ||||
\(435\) | −0.326907 | − | 0.376593i | −0.0156740 | − | 0.0180563i | ||||
\(436\) | 9.38242i | 0.449337i | ||||||||
\(437\) | 10.7882 | − | 6.22855i | 0.516068 | − | 0.297952i | ||||
\(438\) | 3.32708 | − | 9.64071i | 0.158974 | − | 0.460651i | ||||
\(439\) | 10.5448 | − | 6.08806i | 0.503277 | − | 0.290567i | −0.226789 | − | 0.973944i | \(-0.572823\pi\) |
0.730066 | + | 0.683377i | \(0.239489\pi\) | |||||||
\(440\) | −4.45029 | − | 2.56938i | −0.212159 | − | 0.122490i | ||||
\(441\) | 20.6488 | − | 3.82455i | 0.983276 | − | 0.182121i | ||||
\(442\) | 1.63032 | + | 27.3073i | 0.0775465 | + | 1.29888i | ||||
\(443\) | 1.94173 | + | 1.12106i | 0.0922543 | + | 0.0532630i | 0.545417 | − | 0.838165i | \(-0.316371\pi\) |
−0.453163 | + | 0.891428i | \(0.649704\pi\) | |||||||
\(444\) | −1.83250 | − | 9.46256i | −0.0869665 | − | 0.449073i | ||||
\(445\) | 21.1130 | 1.00085 | ||||||||
\(446\) | −7.57111 | −0.358503 | ||||||||
\(447\) | −5.52006 | + | 1.06900i | −0.261090 | + | 0.0505620i | ||||
\(448\) | −2.63261 | − | 0.263392i | −0.124379 | − | 0.0124441i | ||||
\(449\) | 3.91929 | + | 6.78842i | 0.184963 | + | 0.320365i | 0.943564 | − | 0.331190i | \(-0.107450\pi\) |
−0.758601 | + | 0.651555i | \(0.774117\pi\) | |||||||
\(450\) | −1.20937 | + | 8.51899i | −0.0570102 | + | 0.401589i | ||||
\(451\) | 9.16975 | + | 5.29416i | 0.431787 | + | 0.249292i | ||||
\(452\) | 5.81411i | 0.273473i | ||||||||
\(453\) | 12.1465 | − | 10.5439i | 0.570691 | − | 0.495397i | ||||
\(454\) | − | 25.4572i | − | 1.19476i | ||||||
\(455\) | 7.44200 | − | 11.7735i | 0.348886 | − | 0.551952i | ||||
\(456\) | −5.87274 | + | 1.13730i | −0.275016 | + | 0.0532590i | ||||
\(457\) | −5.66636 | + | 3.27147i | −0.265061 | + | 0.153033i | −0.626641 | − | 0.779308i | \(-0.715571\pi\) |
0.361580 | + | 0.932341i | \(0.382237\pi\) | |||||||
\(458\) | 11.0281 | 0.515310 | ||||||||
\(459\) | −1.98103 | − | 39.3743i | −0.0924667 | − | 1.83784i | ||||
\(460\) | −2.63325 | + | 4.56092i | −0.122776 | + | 0.212654i | ||||
\(461\) | 20.3030 | − | 11.7219i | 0.945606 | − | 0.545946i | 0.0538925 | − | 0.998547i | \(-0.482837\pi\) |
0.891713 | + | 0.452601i | \(0.149504\pi\) | |||||||
\(462\) | 9.30759 | + | 13.1716i | 0.433028 | + | 0.612796i | ||||
\(463\) | − | 37.3356i | − | 1.73513i | −0.497321 | − | 0.867567i | \(-0.665683\pi\) | ||
0.497321 | − | 0.867567i | \(-0.334317\pi\) | |||||||
\(464\) | − | 0.197192i | − | 0.00915442i | ||||||
\(465\) | 5.13978 | + | 26.5406i | 0.238352 | + | 1.23079i | ||||
\(466\) | 7.14438i | 0.330957i | ||||||||
\(467\) | −3.36611 | + | 5.83027i | −0.155765 | + | 0.269792i | −0.933337 | − | 0.359001i | \(-0.883118\pi\) |
0.777572 | + | 0.628793i | \(0.216451\pi\) | |||||||
\(468\) | 10.7808 | + | 0.879368i | 0.498345 | + | 0.0406488i | ||||
\(469\) | 1.45620 | − | 14.5547i | 0.0672410 | − | 0.672075i | ||||
\(470\) | −9.33916 | + | 16.1759i | −0.430783 | + | 0.746138i | ||||
\(471\) | −24.5135 | + | 21.2793i | −1.12952 | + | 0.980499i | ||||
\(472\) | −1.13289 | − | 0.654074i | −0.0521454 | − | 0.0301062i | ||||
\(473\) | 19.7492 | + | 34.2066i | 0.908068 | + | 1.57282i | ||||
\(474\) | −0.593953 | + | 0.115023i | −0.0272812 | + | 0.00528320i | ||||
\(475\) | 4.95273 | + | 8.57838i | 0.227247 | + | 0.393603i | ||||
\(476\) | −8.25637 | − | 18.2972i | −0.378430 | − | 0.838653i | ||||
\(477\) | 9.00659 | − | 11.4949i | 0.412383 | − | 0.526314i | ||||
\(478\) | 3.66232 | + | 6.34332i | 0.167510 | + | 0.290137i | ||||
\(479\) | − | 12.9489i | − | 0.591650i | −0.955242 | − | 0.295825i | \(-0.904405\pi\) | ||
0.955242 | − | 0.295825i | \(-0.0955946\pi\) | |||||||
\(480\) | 1.90978 | − | 1.65781i | 0.0871691 | − | 0.0756684i | ||||
\(481\) | 11.0496 | + | 16.7471i | 0.503820 | + | 0.763600i | ||||
\(482\) | −17.4268 | −0.793769 | ||||||||
\(483\) | 13.4990 | − | 9.53896i | 0.614225 | − | 0.434038i | ||||
\(484\) | −0.693357 | + | 1.20093i | −0.0315162 | + | 0.0545877i | ||||
\(485\) | − | 5.04452i | − | 0.229060i | ||||||
\(486\) | −15.5243 | − | 1.41269i | −0.704197 | − | 0.0640811i | ||||
\(487\) | 7.51390 | + | 4.33815i | 0.340487 | + | 0.196580i | 0.660488 | − | 0.750837i | \(-0.270350\pi\) |
−0.320000 | + | 0.947417i | \(0.603683\pi\) | |||||||
\(488\) | 0.999644i | 0.0452518i | ||||||||
\(489\) | −0.299467 | − | 1.54638i | −0.0135424 | − | 0.0699295i | ||||
\(490\) | −2.02488 | + | 10.0180i | −0.0914746 | + | 0.452569i | ||||
\(491\) | −14.7725 | − | 8.52893i | −0.666676 | − | 0.384905i | 0.128140 | − | 0.991756i | \(-0.459099\pi\) |
−0.794816 | + | 0.606851i | \(0.792433\pi\) | |||||||
\(492\) | −3.93507 | + | 3.41589i | −0.177406 | + | 0.154000i | ||||
\(493\) | 1.29569 | − | 0.748066i | 0.0583549 | − | 0.0336912i | ||||
\(494\) | 10.3937 | − | 6.85773i | 0.467635 | − | 0.308544i | ||||
\(495\) | −15.2632 | − | 2.16679i | −0.686031 | − | 0.0973901i | ||||
\(496\) | −5.34484 | + | 9.25753i | −0.239990 | + | 0.415675i | ||||
\(497\) | 11.6158 | + | 25.7423i | 0.521042 | + | 1.15470i | ||||
\(498\) | −4.87851 | + | 4.23487i | −0.218611 | + | 0.189769i | ||||
\(499\) | −20.1546 | − | 11.6362i | −0.902243 | − | 0.520910i | −0.0243156 | − | 0.999704i | \(-0.507741\pi\) |
−0.877927 | + | 0.478794i | \(0.841074\pi\) | |||||||
\(500\) | −9.94906 | − | 5.74410i | −0.444936 | − | 0.256884i | ||||
\(501\) | 22.0447 | + | 7.60776i | 0.984883 | + | 0.339890i | ||||
\(502\) | −6.39321 | + | 11.0734i | −0.285343 | + | 0.494228i | ||||
\(503\) | −4.33129 | − | 7.50201i | −0.193122 | − | 0.334498i | 0.753161 | − | 0.657836i | \(-0.228528\pi\) |
−0.946283 | + | 0.323338i | \(0.895195\pi\) | |||||||
\(504\) | −7.62183 | + | 2.21532i | −0.339503 | + | 0.0986784i | ||||
\(505\) | −14.6897 | − | 8.48110i | −0.653683 | − | 0.377404i | ||||
\(506\) | 10.9939 | + | 6.34731i | 0.488737 | + | 0.282172i | ||||
\(507\) | −21.4396 | + | 6.88077i | −0.952165 | + | 0.305586i | ||||
\(508\) | −7.87940 | − | 13.6475i | −0.349592 | − | 0.605511i | ||||
\(509\) | 5.00911 | − | 2.89201i | 0.222025 | − | 0.128186i | −0.384863 | − | 0.922974i | \(-0.625751\pi\) |
0.606887 | + | 0.794788i | \(0.292418\pi\) | |||||||
\(510\) | 18.1379 | + | 6.25951i | 0.803159 | + | 0.277176i | ||||
\(511\) | −6.40754 | − | 14.2000i | −0.283453 | − | 0.628171i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −15.0708 | + | 9.74238i | −0.665392 | + | 0.430137i | ||||
\(514\) | −10.6730 | + | 18.4862i | −0.470766 | + | 0.815391i | ||||
\(515\) | −13.6773 | − | 23.6898i | −0.602694 | − | 1.04390i | ||||
\(516\) | −19.0839 | + | 3.69574i | −0.840121 | + | 0.162696i | ||||
\(517\) | 38.9912 | + | 22.5116i | 1.71483 | + | 0.990058i | ||||
\(518\) | −11.9542 | − | 8.59419i | −0.525236 | − | 0.377607i | ||||
\(519\) | 17.2914 | − | 3.34862i | 0.759010 | − | 0.146988i | ||||
\(520\) | −2.35583 | + | 4.70790i | −0.103310 | + | 0.206455i | ||||
\(521\) | −5.46547 | − | 9.46647i | −0.239447 | − | 0.414734i | 0.721109 | − | 0.692822i | \(-0.243633\pi\) |
−0.960556 | + | 0.278088i | \(0.910299\pi\) | |||||||
\(522\) | −0.220844 | − | 0.548808i | −0.00966609 | − | 0.0240207i | ||||
\(523\) | 11.7895 | − | 6.80668i | 0.515519 | − | 0.297635i | −0.219580 | − | 0.975594i | \(-0.570469\pi\) |
0.735100 | + | 0.677959i | \(0.237135\pi\) | |||||||
\(524\) | 6.32520 | + | 10.9556i | 0.276318 | + | 0.478596i | ||||
\(525\) | 7.58506 | + | 10.7339i | 0.331039 | + | 0.468467i | ||||
\(526\) | 13.7817 | − | 7.95686i | 0.600910 | − | 0.346936i | ||||
\(527\) | −81.1044 | −3.53296 | ||||||||
\(528\) | −3.99607 | − | 4.60343i | −0.173907 | − | 0.200338i | ||||
\(529\) | −4.99491 | + | 8.65143i | −0.217170 | + | 0.376149i | ||||
\(530\) | 3.55364 | + | 6.15509i | 0.154360 | + | 0.267360i | ||||
\(531\) | −3.88549 | − | 0.551590i | −0.168616 | − | 0.0239370i | ||||
\(532\) | −5.33380 | + | 7.41911i | −0.231250 | + | 0.321659i | ||||
\(533\) | 4.85414 | − | 9.70054i | 0.210256 | − | 0.420177i | ||||
\(534\) | 23.6754 | + | 8.17053i | 1.02453 | + | 0.353573i | ||||
\(535\) | 0.512208 | 0.0221447 | ||||||||
\(536\) | 5.52864i | 0.238801i | ||||||||
\(537\) | 2.81236 | + | 14.5223i | 0.121362 | + | 0.626685i | ||||
\(538\) | 15.4992 | 0.668218 | ||||||||
\(539\) | 24.1480 | + | 4.88086i | 1.04013 | + | 0.210234i | ||||
\(540\) | 3.45848 | − | 6.75272i | 0.148829 | − | 0.290591i | ||||
\(541\) | 3.38852 | + | 1.95636i | 0.145684 | + | 0.0841105i | 0.571070 | − | 0.820901i | \(-0.306528\pi\) |
−0.425386 | + | 0.905012i | \(0.639862\pi\) | |||||||
\(542\) | 7.49829 | − | 12.9874i | 0.322079 | − | 0.557858i | ||||
\(543\) | −8.38938 | − | 43.3207i | −0.360023 | − | 1.85907i | ||||
\(544\) | 3.79359 | + | 6.57069i | 0.162649 | + | 0.281716i | ||||
\(545\) | −13.6992 | −0.586809 | ||||||||
\(546\) | 12.9014 | − | 10.3224i | 0.552130 | − | 0.441760i | ||||
\(547\) | −10.8125 | −0.462308 | −0.231154 | − | 0.972917i | \(-0.574250\pi\) | ||||
−0.231154 | + | 0.972917i | \(0.574250\pi\) | |||||||
\(548\) | 0.625790 | + | 1.08390i | 0.0267324 | + | 0.0463019i | ||||
\(549\) | 1.11955 | + | 2.78212i | 0.0477810 | + | 0.118738i | ||||
\(550\) | −5.04717 | + | 8.74195i | −0.215212 | + | 0.372758i | ||||
\(551\) | −0.589787 | − | 0.340514i | −0.0251258 | − | 0.0145064i | ||||
\(552\) | −4.71786 | + | 4.09541i | −0.200805 | + | 0.174312i | ||||
\(553\) | −0.539446 | + | 0.750348i | −0.0229396 | + | 0.0319080i | ||||
\(554\) | −0.719351 | −0.0305623 | ||||||||
\(555\) | 13.8162 | − | 2.67561i | 0.586465 | − | 0.113573i | ||||
\(556\) | − | 10.0276i | − | 0.425267i | ||||||
\(557\) | 23.2398 | 0.984703 | 0.492351 | − | 0.870396i | \(-0.336137\pi\) | ||||
0.492351 | + | 0.870396i | \(0.336137\pi\) | |||||||
\(558\) | −4.50738 | + | 31.7507i | −0.190812 | + | 1.34411i | ||||
\(559\) | 33.7751 | − | 22.2847i | 1.42853 | − | 0.942541i | ||||
\(560\) | 0.384576 | − | 3.84385i | 0.0162513 | − | 0.162432i | ||||
\(561\) | 15.0882 | − | 43.7205i | 0.637026 | − | 1.84588i | ||||
\(562\) | 3.65224 | + | 6.32587i | 0.154060 | + | 0.266841i | ||||
\(563\) | 5.93878 | − | 10.2863i | 0.250290 | − | 0.433515i | −0.713316 | − | 0.700843i | \(-0.752807\pi\) |
0.963606 | + | 0.267328i | \(0.0861408\pi\) | |||||||
\(564\) | −16.7325 | + | 14.5249i | −0.704566 | + | 0.611609i | ||||
\(565\) | −8.48913 | −0.357141 | ||||||||
\(566\) | −12.9252 | + | 7.46234i | −0.543285 | + | 0.313666i | ||||
\(567\) | −18.7314 | + | 14.7015i | −0.786645 | + | 0.617406i | ||||
\(568\) | −5.33718 | − | 9.24427i | −0.223943 | − | 0.387881i | ||||
\(569\) | 1.67254 | − | 0.965640i | 0.0701164 | − | 0.0404817i | −0.464532 | − | 0.885556i | \(-0.653777\pi\) |
0.534648 | + | 0.845075i | \(0.320444\pi\) | |||||||
\(570\) | −1.66056 | − | 8.57474i | −0.0695533 | − | 0.359156i | ||||
\(571\) | 6.46083 | + | 11.1905i | 0.270377 | + | 0.468307i | 0.968958 | − | 0.247224i | \(-0.0795182\pi\) |
−0.698581 | + | 0.715531i | \(0.746185\pi\) | |||||||
\(572\) | 11.3482 | + | 5.67861i | 0.474490 | + | 0.237435i | ||||
\(573\) | 6.82502 | + | 35.2427i | 0.285119 | + | 1.47229i | ||||
\(574\) | −0.792412 | + | 7.92018i | −0.0330746 | + | 0.330582i | ||||
\(575\) | 8.95926 | + | 5.17263i | 0.373627 | + | 0.215714i | ||||
\(576\) | 2.78311 | − | 1.11994i | 0.115963 | − | 0.0466643i | ||||
\(577\) | −18.9813 | − | 32.8766i | −0.790203 | − | 1.36867i | −0.925841 | − | 0.377913i | \(-0.876642\pi\) |
0.135638 | − | 0.990758i | \(-0.456692\pi\) | |||||||
\(578\) | −20.2826 | + | 35.1306i | −0.843646 | + | 1.46124i | ||||
\(579\) | −3.12396 | − | 16.1314i | −0.129827 | − | 0.670397i | ||||
\(580\) | 0.287918 | 0.0119552 | ||||||||
\(581\) | −0.982396 | + | 9.81907i | −0.0407567 | + | 0.407364i | ||||
\(582\) | 1.95218 | − | 5.65675i | 0.0809205 | − | 0.234480i | ||||
\(583\) | 14.8365 | − | 8.56588i | 0.614467 | − | 0.354763i | ||||
\(584\) | 2.94410 | + | 5.09933i | 0.121828 | + | 0.211012i | ||||
\(585\) | −1.28396 | + | 15.7410i | −0.0530851 | + | 0.650811i | ||||
\(586\) | −13.1158 | − | 7.57239i | −0.541807 | − | 0.312813i | ||||
\(587\) | 3.62595 | + | 2.09345i | 0.149659 | + | 0.0864058i | 0.572960 | − | 0.819584i | \(-0.305795\pi\) |
−0.423300 | + | 0.905989i | \(0.639129\pi\) | |||||||
\(588\) | −6.14751 | + | 10.4503i | −0.253519 | + | 0.430962i | ||||
\(589\) | 18.4591 | + | 31.9720i | 0.760592 | + | 1.31738i | ||||
\(590\) | 0.955007 | − | 1.65412i | 0.0393170 | − | 0.0680991i | ||||
\(591\) | −3.63231 | + | 10.5252i | −0.149413 | + | 0.432948i | ||||
\(592\) | 4.81918 | + | 2.78236i | 0.198067 | + | 0.114354i | ||||
\(593\) | −25.7814 | − | 14.8849i | −1.05872 | − | 0.611250i | −0.133639 | − | 0.991030i | \(-0.542666\pi\) |
−0.925077 | + | 0.379780i | \(0.876000\pi\) | |||||||
\(594\) | −16.2771 | − | 8.33649i | −0.667858 | − | 0.342050i | ||||
\(595\) | 26.7156 | − | 12.0550i | 1.09523 | − | 0.494209i | ||||
\(596\) | 1.62311 | − | 2.81131i | 0.0664852 | − | 0.115156i | ||||
\(597\) | 2.07140 | + | 0.714853i | 0.0847766 | + | 0.0292570i | ||||
\(598\) | 5.81977 | − | 11.6303i | 0.237988 | − | 0.475596i | ||||
\(599\) | −14.8413 | + | 8.56865i | −0.606401 | + | 0.350106i | −0.771556 | − | 0.636162i | \(-0.780521\pi\) |
0.165155 | + | 0.986268i | \(0.447188\pi\) | |||||||
\(600\) | −3.25653 | − | 3.75148i | −0.132947 | − | 0.153154i | ||||
\(601\) | 17.6704 | + | 10.2020i | 0.720790 | + | 0.416149i | 0.815044 | − | 0.579400i | \(-0.196713\pi\) |
−0.0942531 | + | 0.995548i | \(0.530046\pi\) | |||||||
\(602\) | −17.3326 | + | 24.1089i | −0.706423 | + | 0.982605i | ||||
\(603\) | 6.19177 | + | 15.3868i | 0.252148 | + | 0.626600i | ||||
\(604\) | 9.28639i | 0.377858i | ||||||||
\(605\) | −1.75347 | − | 1.01236i | −0.0712885 | − | 0.0411584i | ||||
\(606\) | −13.1904 | − | 15.1952i | −0.535823 | − | 0.617262i | ||||
\(607\) | − | 10.6029i | − | 0.430359i | −0.976574 | − | 0.215180i | \(-0.930966\pi\) | ||
0.976574 | − | 0.215180i | \(-0.0690337\pi\) | |||||||
\(608\) | 1.72681 | − | 2.99093i | 0.0700315 | − | 0.121298i | ||||
\(609\) | −0.820620 | − | 0.378369i | −0.0332532 | − | 0.0153323i | ||||
\(610\) | −1.45957 | −0.0590963 | ||||||||
\(611\) | 20.6406 | − | 41.2482i | 0.835028 | − | 1.66872i | ||||
\(612\) | 17.9168 | + | 14.0384i | 0.724244 | + | 0.567468i | ||||
\(613\) | 22.8515i | 0.922964i | 0.887150 | + | 0.461482i | \(0.152682\pi\) | ||||
−0.887150 | + | 0.461482i | \(0.847318\pi\) | |||||||
\(614\) | 0.144642 | + | 0.250527i | 0.00583727 | + | 0.0101104i | ||||
\(615\) | −4.98751 | − | 5.74555i | −0.201116 | − | 0.231683i | ||||
\(616\) | −9.26540 | − | 0.927001i | −0.373314 | − | 0.0373500i | ||||
\(617\) | −2.03229 | − | 3.52003i | −0.0818170 | − | 0.141711i | 0.822213 | − | 0.569179i | \(-0.192739\pi\) |
−0.904030 | + | 0.427468i | \(0.859406\pi\) | |||||||
\(618\) | −6.16952 | − | 31.8579i | −0.248174 | − | 1.28151i | ||||
\(619\) | −5.71042 | − | 9.89074i | −0.229521 | − | 0.397542i | 0.728145 | − | 0.685423i | \(-0.240383\pi\) |
−0.957666 | + | 0.287881i | \(0.907049\pi\) | |||||||
\(620\) | −13.5168 | − | 7.80394i | −0.542849 | − | 0.313414i | ||||
\(621\) | −8.54372 | + | 16.6817i | −0.342848 | + | 0.669415i | ||||
\(622\) | −5.96970 | + | 10.3398i | −0.239363 | + | 0.414589i | ||||
\(623\) | 34.8719 | − | 15.7354i | 1.39711 | − | 0.630427i | ||||
\(624\) | −4.46365 | + | 4.36759i | −0.178689 | + | 0.174843i | ||||
\(625\) | 1.21656 | − | 2.10715i | 0.0486624 | − | 0.0842858i | ||||
\(626\) | 9.18334i | 0.367040i | ||||||||
\(627\) | −20.6690 | + | 4.00270i | −0.825439 | + | 0.159853i | ||||
\(628\) | − | 18.7414i | − | 0.747864i | ||||||
\(629\) | 42.2205i | 1.68344i | ||||||||
\(630\) | −3.23457 | − | 11.1286i | −0.128869 | − | 0.443373i | ||||
\(631\) | −2.43600 | + | 1.40642i | −0.0969755 | + | 0.0559888i | −0.547703 | − | 0.836673i | \(-0.684498\pi\) |
0.450728 | + | 0.892661i | \(0.351164\pi\) | |||||||
\(632\) | 0.174645 | − | 0.302494i | 0.00694700 | − | 0.0120326i | ||||
\(633\) | −7.05824 | + | 20.4523i | −0.280540 | + | 0.812907i | ||||
\(634\) | −23.0241 | −0.914405 | ||||||||
\(635\) | 19.9266 | − | 11.5046i | 0.790763 | − | 0.456547i | ||||
\(636\) | 1.60297 | + | 8.27732i | 0.0635618 | + | 0.328217i | ||||
\(637\) | 3.51701 | − | 24.9926i | 0.139349 | − | 0.990243i | ||||
\(638\) | − | 0.694013i | − | 0.0274762i | ||||||
\(639\) | −25.2070 | − | 19.7505i | −0.997175 | − | 0.781318i | ||||
\(640\) | 1.46009i | 0.0577151i | ||||||||
\(641\) | 19.9139 | + | 11.4973i | 0.786552 | + | 0.454116i | 0.838747 | − | 0.544521i | \(-0.183289\pi\) |
−0.0521953 | + | 0.998637i | \(0.516622\pi\) | |||||||
\(642\) | 0.574372 | + | 0.198220i | 0.0226686 | + | 0.00782310i | ||||
\(643\) | 5.08228 | + | 8.80277i | 0.200426 | + | 0.347147i | 0.948666 | − | 0.316281i | \(-0.102434\pi\) |
−0.748240 | + | 0.663428i | \(0.769101\pi\) | |||||||
\(644\) | −0.950045 | + | 9.49572i | −0.0374370 | + | 0.374184i | ||||
\(645\) | −5.39611 | − | 27.8642i | −0.212472 | − | 1.09715i | ||||
\(646\) | 26.2033 | 1.03095 | ||||||||
\(647\) | −42.4942 | −1.67062 | −0.835309 | − | 0.549780i | \(-0.814712\pi\) | ||||
−0.835309 | + | 0.549780i | \(0.814712\pi\) | |||||||
\(648\) | 6.49145 | − | 6.23386i | 0.255008 | − | 0.244889i | ||||
\(649\) | −3.98718 | − | 2.30200i | −0.156510 | − | 0.0903613i | ||||
\(650\) | 9.24798 | + | 4.62768i | 0.362736 | + | 0.181513i | ||||
\(651\) | 28.2698 | + | 40.0058i | 1.10798 | + | 1.56795i | ||||
\(652\) | 0.787553 | + | 0.454694i | 0.0308430 | + | 0.0178072i | ||||
\(653\) | −18.7413 | + | 10.8203i | −0.733404 | + | 0.423431i | −0.819666 | − | 0.572841i | \(-0.805841\pi\) |
0.0862619 | + | 0.996272i | \(0.472508\pi\) | |||||||
\(654\) | −15.3618 | − | 5.30145i | −0.600693 | − | 0.207303i | ||||
\(655\) | −15.9961 | + | 9.23536i | −0.625020 | + | 0.360855i | ||||
\(656\) | − | 3.00849i | − | 0.117462i | ||||||
\(657\) | 13.9047 | + | 10.8948i | 0.542475 | + | 0.425046i | ||||
\(658\) | −3.36946 | + | 33.6778i | −0.131355 | + | 1.31290i | ||||
\(659\) | −4.44211 | + | 2.56466i | −0.173040 | + | 0.0999048i | −0.584019 | − | 0.811740i | \(-0.698520\pi\) |
0.410978 | + | 0.911645i | \(0.365187\pi\) | |||||||
\(660\) | 6.72142 | − | 5.83463i | 0.261631 | − | 0.227113i | ||||
\(661\) | 23.9481 | 0.931472 | 0.465736 | − | 0.884924i | \(-0.345790\pi\) | ||||
0.465736 | + | 0.884924i | \(0.345790\pi\) | |||||||
\(662\) | 20.4980 | − | 11.8345i | 0.796676 | − | 0.459961i | ||||
\(663\) | −45.6313 | − | 12.7605i | −1.77217 | − | 0.495575i | ||||
\(664\) | − | 3.72979i | − | 0.144744i | ||||||
\(665\) | −10.8326 | − | 7.78784i | −0.420069 | − | 0.301999i | ||||
\(666\) | 16.5284 | + | 2.34640i | 0.640463 | + | 0.0909212i | ||||
\(667\) | −0.711265 | −0.0275403 | ||||||||
\(668\) | −11.6602 | + | 6.73204i | −0.451148 | + | 0.260471i | ||||
\(669\) | 4.27799 | − | 12.3961i | 0.165397 | − | 0.479262i | ||||
\(670\) | −8.07231 | −0.311861 | ||||||||
\(671\) | 3.51822i | 0.135819i | ||||||||
\(672\) | 1.91878 | − | 4.16152i | 0.0740186 | − | 0.160534i | ||||
\(673\) | −8.33251 | + | 14.4323i | −0.321195 | + | 0.556326i | −0.980735 | − | 0.195344i | \(-0.937418\pi\) |
0.659540 | + | 0.751669i | \(0.270751\pi\) | |||||||
\(674\) | −9.57684 | − | 16.5876i | −0.368886 | − | 0.638930i | ||||
\(675\) | −13.2647 | − | 6.79367i | −0.510560 | − | 0.261489i | ||||
\(676\) | 5.11430 | − | 11.9517i | 0.196704 | − | 0.459682i | ||||
\(677\) | −18.1468 | + | 31.4312i | −0.697439 | + | 1.20800i | 0.271913 | + | 0.962322i | \(0.412344\pi\) |
−0.969352 | + | 0.245678i | \(0.920989\pi\) | |||||||
\(678\) | −9.51941 | − | 3.28521i | −0.365591 | − | 0.126168i | ||||
\(679\) | −3.75966 | − | 8.33193i | −0.144283 | − | 0.319750i | ||||
\(680\) | −9.59380 | + | 5.53898i | −0.367905 | + | 0.212410i | ||||
\(681\) | 41.6808 | + | 14.3843i | 1.59721 | + | 0.551209i | ||||
\(682\) | −18.8110 | + | 32.5816i | −0.720311 | + | 1.24762i | ||||
\(683\) | 18.2874 | − | 31.6746i | 0.699747 | − | 1.21200i | −0.268808 | − | 0.963194i | \(-0.586630\pi\) |
0.968554 | − | 0.248803i | \(-0.0800371\pi\) | |||||||
\(684\) | 1.45625 | − | 10.2580i | 0.0556809 | − | 0.392225i | ||||
\(685\) | −1.58259 | + | 0.913710i | −0.0604677 | + | 0.0349110i | ||||
\(686\) | 4.12197 | + | 18.0557i | 0.157377 | + | 0.689371i | ||||
\(687\) | −6.23134 | + | 18.0563i | −0.237741 | + | 0.688890i | ||||
\(688\) | 5.61139 | − | 9.71922i | 0.213932 | − | 0.370542i | ||||
\(689\) | −9.66561 | − | 14.6494i | −0.368230 | − | 0.558098i | ||||
\(690\) | −5.97967 | − | 6.88850i | −0.227642 | − | 0.262241i | ||||
\(691\) | 8.73134 | + | 15.1231i | 0.332156 | + | 0.575311i | 0.982934 | − | 0.183957i | \(-0.0588907\pi\) |
−0.650778 | + | 0.759268i | \(0.725557\pi\) | |||||||
\(692\) | −5.08435 | + | 8.80635i | −0.193278 | + | 0.334767i | ||||
\(693\) | −26.8249 | + | 7.79678i | −1.01899 | + | 0.296175i | ||||
\(694\) | − | 31.7120i | − | 1.20377i | ||||||
\(695\) | 14.6413 | 0.555375 | ||||||||
\(696\) | 0.322861 | + | 0.111422i | 0.0122380 | + | 0.00422343i | ||||
\(697\) | 19.7679 | − | 11.4130i | 0.748761 | − | 0.432297i | ||||
\(698\) | −7.75670 | −0.293595 | ||||||||
\(699\) | −11.6974 | − | 4.03687i | −0.442438 | − | 0.152688i | ||||
\(700\) | −7.55068 | − | 0.755444i | −0.285389 | − | 0.0285531i | ||||
\(701\) | − | 42.7684i | − | 1.61534i | −0.589635 | − | 0.807670i | \(-0.700728\pi\) | ||
0.589635 | − | 0.807670i | \(-0.299272\pi\) | |||||||
\(702\) | −7.53141 | + | 17.1545i | −0.284255 | + | 0.647456i | ||||
\(703\) | 16.6436 | − | 9.60922i | 0.627727 | − | 0.362418i | ||||
\(704\) | 3.51948 | 0.132645 | ||||||||
\(705\) | −21.2077 | − | 24.4310i | −0.798727 | − | 0.920124i | ||||
\(706\) | 0.491689 | − | 0.283877i | 0.0185050 | − | 0.0106838i | ||||
\(707\) | −30.5836 | − | 3.05988i | −1.15021 | − | 0.115079i | ||||
\(708\) | 1.71104 | − | 1.48529i | 0.0643048 | − | 0.0558207i | ||||
\(709\) | − | 36.5874i | − | 1.37407i | −0.726626 | − | 0.687033i | \(-0.758913\pi\) | ||
0.726626 | − | 0.687033i | \(-0.241087\pi\) | |||||||
\(710\) | 13.4975 | − | 7.79277i | 0.506551 | − | 0.292457i | ||||
\(711\) | 0.147281 | − | 1.03747i | 0.00552345 | − | 0.0389081i | ||||
\(712\) | −12.5228 | + | 7.23003i | −0.469311 | + | 0.270957i | ||||
\(713\) | 33.3916 | + | 19.2786i | 1.25052 | + | 0.721990i | ||||
\(714\) | 34.6231 | − | 3.17939i | 1.29574 | − | 0.118986i | ||||
\(715\) | −8.29128 | + | 16.5693i | −0.310076 | + | 0.619658i | ||||
\(716\) | −7.39608 | − | 4.27013i | −0.276404 | − | 0.159582i | ||||
\(717\) | −12.4552 | + | 2.41205i | −0.465149 | + | 0.0900796i | ||||
\(718\) | 6.25812 | 0.233551 | ||||||||
\(719\) | 19.0766 | 0.711439 | 0.355719 | − | 0.934593i | \(-0.384236\pi\) | ||||
0.355719 | + | 0.934593i | \(0.384236\pi\) | |||||||
\(720\) | 1.63522 | + | 4.06360i | 0.0609410 | + | 0.151441i | ||||
\(721\) | −40.2464 | − | 28.9343i | −1.49886 | − | 1.07757i | ||||
\(722\) | 3.53624 | + | 6.12495i | 0.131605 | + | 0.227947i | ||||
\(723\) | 9.84686 | − | 28.5328i | 0.366209 | − | 1.06115i | ||||
\(724\) | 22.0628 | + | 12.7380i | 0.819957 | + | 0.473402i | ||||
\(725\) | − | 0.565574i | − | 0.0210049i | ||||||
\(726\) | −1.57450 | − | 1.81380i | −0.0584351 | − | 0.0673165i | ||||
\(727\) | − | 9.70964i | − | 0.360111i | −0.983656 | − | 0.180055i | \(-0.942372\pi\) | ||
0.983656 | − | 0.180055i | \(-0.0576277\pi\) | |||||||
\(728\) | −0.382294 | + | 9.53173i | −0.0141688 | + | 0.353269i | ||||
\(729\) | 11.0849 | − | 24.6196i | 0.410551 | − | 0.911838i | ||||
\(730\) | −7.44549 | + | 4.29865i | −0.275570 | + | 0.159100i | ||||
\(731\) | 85.1493 | 3.14936 | ||||||||
\(732\) | −1.63671 | − | 0.564840i | −0.0604945 | − | 0.0208771i | ||||
\(733\) | −16.1353 | + | 27.9472i | −0.595972 | + | 1.03225i | 0.397437 | + | 0.917629i | \(0.369900\pi\) |
−0.993409 | + | 0.114624i | \(0.963434\pi\) | |||||||
\(734\) | 18.6936 | − | 10.7928i | 0.689995 | − | 0.398369i | ||||
\(735\) | −15.2583 | − | 8.97592i | −0.562812 | − | 0.331082i | ||||
\(736\) | − | 3.60696i | − | 0.132954i | ||||||
\(737\) | 19.4579i | 0.716741i | ||||||||
\(738\) | −3.36934 | − | 8.37297i | −0.124027 | − | 0.308213i | ||||
\(739\) | 22.4830i | 0.827050i | 0.910493 | + | 0.413525i | \(0.135703\pi\) | ||||
−0.910493 | + | 0.413525i | \(0.864297\pi\) | |||||||
\(740\) | −4.06249 | + | 7.03645i | −0.149340 | + | 0.258665i | ||||
\(741\) | 5.35523 | + | 20.8925i | 0.196729 | + | 0.767503i | ||||
\(742\) | 10.4568 | + | 7.51772i | 0.383883 | + | 0.275984i | ||||
\(743\) | −19.9808 | + | 34.6077i | −0.733023 | + | 1.26963i | 0.222562 | + | 0.974919i | \(0.428558\pi\) |
−0.955585 | + | 0.294715i | \(0.904775\pi\) | |||||||
\(744\) | −12.1372 | − | 13.9819i | −0.444973 | − | 0.512603i | ||||
\(745\) | 4.10476 | + | 2.36989i | 0.150387 | + | 0.0868259i | ||||
\(746\) | 0.378056 | + | 0.654812i | 0.0138416 | + | 0.0239744i | ||||
\(747\) | −4.17716 | − | 10.3804i | −0.152834 | − | 0.379800i | ||||
\(748\) | 13.3514 | + | 23.1254i | 0.488177 | + | 0.845548i | ||||
\(749\) | 0.846003 | − | 0.381747i | 0.0309123 | − | 0.0139487i | ||||
\(750\) | 15.0264 | − | 13.0439i | 0.548686 | − | 0.476295i | ||||
\(751\) | −15.6040 | − | 27.0270i | −0.569399 | − | 0.986228i | −0.996625 | − | 0.0820832i | \(-0.973843\pi\) |
0.427227 | − | 0.904145i | \(-0.359491\pi\) | |||||||
\(752\) | − | 12.7926i | − | 0.466497i | ||||||
\(753\) | −14.5179 | − | 16.7245i | −0.529062 | − | 0.609473i | ||||
\(754\) | −0.709723 | + | 0.0423724i | −0.0258466 | + | 0.00154311i | ||||
\(755\) | −13.5590 | −0.493462 | ||||||||
\(756\) | 0.679514 | − | 13.7309i | 0.0247137 | − | 0.499389i | ||||
\(757\) | −0.452106 | + | 0.783071i | −0.0164321 | + | 0.0284612i | −0.874125 | − | 0.485702i | \(-0.838564\pi\) |
0.857692 | + | 0.514163i | \(0.171897\pi\) | |||||||
\(758\) | − | 7.22959i | − | 0.262591i | ||||||
\(759\) | −16.6044 | + | 14.4137i | −0.602701 | + | 0.523184i | ||||
\(760\) | 4.36702 | + | 2.52130i | 0.158409 | + | 0.0914572i | ||||
\(761\) | 41.8084i | 1.51555i | 0.652515 | + | 0.757776i | \(0.273714\pi\) | ||||
−0.652515 | + | 0.757776i | \(0.726286\pi\) | |||||||
\(762\) | 26.7972 | − | 5.18947i | 0.970759 | − | 0.187995i | ||||
\(763\) | −22.6267 | + | 10.2100i | −0.819140 | + | 0.369625i | ||||
\(764\) | −17.9487 | − | 10.3627i | −0.649363 | − | 0.374910i | ||||
\(765\) | −20.4973 | + | 26.1601i | −0.741081 | + | 0.945822i | ||||
\(766\) | −1.16788 | + | 0.674277i | −0.0421973 | + | 0.0243626i | ||||
\(767\) | −2.11067 | + | 4.21798i | −0.0762119 | + | 0.152302i | ||||
\(768\) | −0.565041 | + | 1.63729i | −0.0203892 | + | 0.0590807i | ||||
\(769\) | 10.4819 | − | 18.1551i | 0.377986 | − | 0.654691i | −0.612783 | − | 0.790251i | \(-0.709950\pi\) |
0.990769 | + | 0.135560i | \(0.0432834\pi\) | |||||||
\(770\) | 1.35351 | − | 13.5283i | 0.0487770 | − | 0.487527i | ||||
\(771\) | −24.2366 | − | 27.9203i | −0.872861 | − | 1.00552i | ||||
\(772\) | 8.21554 | + | 4.74324i | 0.295684 | + | 0.170713i | ||||
\(773\) | 20.0435 | + | 11.5721i | 0.720916 | + | 0.416221i | 0.815090 | − | 0.579335i | \(-0.196688\pi\) |
−0.0941738 | + | 0.995556i | \(0.530021\pi\) | |||||||
\(774\) | 4.73217 | − | 33.3341i | 0.170094 | − | 1.19817i | ||||
\(775\) | −15.3297 | + | 26.5518i | −0.550660 | + | 0.953770i | ||||
\(776\) | 1.72747 | + | 2.99206i | 0.0620125 | + | 0.107409i | ||||
\(777\) | 20.8258 | − | 14.7164i | 0.747122 | − | 0.527948i | ||||
\(778\) | −3.70239 | − | 2.13758i | −0.132737 | − | 0.0766358i | ||||
\(779\) | −8.99817 | − | 5.19510i | −0.322393 | − | 0.186134i | ||||
\(780\) | −6.37707 | − | 6.51734i | −0.228336 | − | 0.233358i | ||||
\(781\) | −18.7841 | − | 32.5350i | −0.672147 | − | 1.16419i | ||||
\(782\) | 23.7002 | − | 13.6833i | 0.847519 | − | 0.489315i | ||||
\(783\) | 1.02335 | − | 0.0514874i | 0.0365714 | − | 0.00184001i | ||||
\(784\) | −2.22961 | − | 6.63542i | −0.0796288 | − | 0.236979i | ||||
\(785\) | 27.3642 | 0.976669 | ||||||||
\(786\) | −21.5115 | + | 4.16586i | −0.767288 | + | 0.148591i | ||||
\(787\) | −16.1516 | + | 27.9754i | −0.575743 | + | 0.997217i | 0.420217 | + | 0.907424i | \(0.361954\pi\) |
−0.995960 | + | 0.0897931i | \(0.971379\pi\) | |||||||
\(788\) | −3.21420 | − | 5.56716i | −0.114501 | − | 0.198322i | ||||
\(789\) | 5.24050 | + | 27.0606i | 0.186567 | + | 0.963384i | ||||
\(790\) | 0.441668 | + | 0.254997i | 0.0157139 | + | 0.00907240i | ||||
\(791\) | −14.0213 | + | 6.32692i | −0.498541 | + | 0.224959i | ||||
\(792\) | 9.79510 | − | 3.94162i | 0.348054 | − | 0.140059i | ||||
\(793\) | 3.59786 | − | 0.214802i | 0.127764 | − | 0.00762784i | ||||
\(794\) | 2.86479 | + | 4.96196i | 0.101668 | + | 0.176094i | ||||
\(795\) | −12.0856 | + | 2.34048i | −0.428634 | + | 0.0830081i | ||||
\(796\) | −1.09564 | + | 0.632567i | −0.0388339 | + | 0.0224208i | ||||
\(797\) | 6.10975 | + | 10.5824i | 0.216418 | + | 0.374848i | 0.953710 | − | 0.300727i | \(-0.0972291\pi\) |
−0.737292 | + | 0.675574i | \(0.763896\pi\) | |||||||
\(798\) | −9.13343 | − | 12.9251i | −0.323320 | − | 0.457544i | ||||
\(799\) | 84.0560 | − | 48.5298i | 2.97369 | − | 1.71686i | ||||
\(800\) | 2.86814 | 0.101404 | ||||||||
\(801\) | −26.7551 | + | 34.1468i | −0.945345 | + | 1.20652i | ||||
\(802\) | 10.9880 | − | 19.0318i | 0.388001 | − | 0.672038i | ||||
\(803\) | 10.3617 | + | 17.9470i | 0.365656 | + | 0.633335i | ||||
\(804\) | −9.05200 | − | 3.12391i | −0.319239 | − | 0.110172i | ||||
\(805\) | −13.8646 | − | 1.38715i | −0.488663 | − | 0.0488907i | ||||
\(806\) | 34.4676 | + | 17.2476i | 1.21407 | + | 0.607520i | ||||
\(807\) | −8.75768 | + | 25.3767i | −0.308285 | + | 0.893303i | ||||
\(808\) | 11.6172 | 0.408693 | ||||||||
\(809\) | 29.4579i | 1.03568i | 0.855476 | + | 0.517842i | \(0.173264\pi\) | ||||
−0.855476 | + | 0.517842i | \(0.826736\pi\) | |||||||
\(810\) | 9.10201 | + | 9.47811i | 0.319812 | + | 0.333027i | ||||
\(811\) | 36.5632 | 1.28391 | 0.641954 | − | 0.766743i | \(-0.278124\pi\) | ||||
0.641954 | + | 0.766743i | \(0.278124\pi\) | |||||||
\(812\) | 0.475549 | − | 0.214585i | 0.0166885 | − | 0.00753044i | ||||
\(813\) | 17.0274 | + | 19.6153i | 0.597176 | + | 0.687940i | ||||
\(814\) | 16.9610 | + | 9.79244i | 0.594483 | + | 0.343225i | ||||
\(815\) | −0.663894 | + | 1.14990i | −0.0232552 | + | 0.0402792i | ||||
\(816\) | −12.9017 | + | 2.49851i | −0.451649 | + | 0.0874653i | ||||
\(817\) | −19.3796 | − | 33.5665i | −0.678008 | − | 1.17434i | ||||
\(818\) | 8.43899 | 0.295062 | ||||||||
\(819\) | 9.61103 | + | 26.9560i | 0.335837 | + | 0.941920i | ||||
\(820\) | 4.39267 | 0.153399 | ||||||||
\(821\) | 11.8239 | + | 20.4797i | 0.412658 | + | 0.714745i | 0.995179 | − | 0.0980703i | \(-0.0312670\pi\) |
−0.582521 | + | 0.812816i | \(0.697934\pi\) | |||||||
\(822\) | −2.12826 | + | 0.412153i | −0.0742315 | + | 0.0143755i | ||||
\(823\) | −7.11240 | + | 12.3190i | −0.247923 | + | 0.429415i | −0.962949 | − | 0.269683i | \(-0.913081\pi\) |
0.715027 | + | 0.699097i | \(0.246415\pi\) | |||||||
\(824\) | 16.2249 | + | 9.36744i | 0.565221 | + | 0.326330i | ||||
\(825\) | −11.4613 | − | 13.2033i | −0.399030 | − | 0.459678i | ||||
\(826\) | 0.344555 | − | 3.44384i | 0.0119886 | − | 0.119827i | ||||
\(827\) | 38.3054 | 1.33201 | 0.666004 | − | 0.745948i | \(-0.268003\pi\) | ||||
0.666004 | + | 0.745948i | \(0.268003\pi\) | |||||||
\(828\) | −4.03960 | − | 10.0386i | −0.140386 | − | 0.348865i | ||||
\(829\) | 21.9217i | 0.761373i | 0.924704 | + | 0.380687i | \(0.124312\pi\) | ||||
−0.924704 | + | 0.380687i | \(0.875688\pi\) | |||||||
\(830\) | 5.44583 | 0.189028 | ||||||||
\(831\) | 0.406463 | − | 1.17779i | 0.0141000 | − | 0.0408570i | ||||
\(832\) | −0.214878 | − | 3.59914i | −0.00744957 | − | 0.124778i | ||||
\(833\) | 35.1411 | − | 39.8221i | 1.21757 | − | 1.37975i | ||||
\(834\) | 16.4182 | + | 5.66603i | 0.568515 | + | 0.196198i | ||||
\(835\) | −9.82939 | − | 17.0250i | −0.340160 | − | 0.589175i | ||||
\(836\) | 6.07747 | − | 10.5265i | 0.210194 | − | 0.364066i | ||||
\(837\) | −49.4383 | − | 25.3203i | −1.70884 | − | 0.875199i | ||||
\(838\) | −24.9488 | −0.861840 | ||||||||
\(839\) | −28.0544 | + | 16.1972i | −0.968547 | + | 0.559191i | −0.898793 | − | 0.438373i | \(-0.855555\pi\) |
−0.0697541 | + | 0.997564i | \(0.522221\pi\) | |||||||
\(840\) | 6.07620 | + | 2.80159i | 0.209649 | + | 0.0966642i | ||||
\(841\) | −14.4806 | − | 25.0811i | −0.499330 | − | 0.864864i | ||||
\(842\) | −20.1462 | + | 11.6314i | −0.694284 | + | 0.400845i | ||||
\(843\) | −12.4210 | + | 2.40541i | −0.427801 | + | 0.0828468i | ||||
\(844\) | −6.24577 | − | 10.8180i | −0.214988 | − | 0.372371i | ||||
\(845\) | 17.4506 | + | 7.46734i | 0.600319 | + | 0.256884i | ||||
\(846\) | −14.3270 | − | 35.6032i | −0.492571 | − | 1.22406i | ||||
\(847\) | −3.65067 | − | 0.365249i | −0.125439 | − | 0.0125501i | ||||
\(848\) | −4.21555 | − | 2.43385i | −0.144763 | − | 0.0835788i | ||||
\(849\) | −4.91480 | − | 25.3788i | −0.168675 | − | 0.870998i | ||||
\(850\) | 10.8805 | + | 18.8456i | 0.373199 | + | 0.646400i | ||||
\(851\) | 10.0359 | − | 17.3826i | 0.344025 | − | 0.595869i | ||||
\(852\) | 18.1513 | − | 3.51514i | 0.621853 | − | 0.120427i | ||||
\(853\) | −14.9608 | −0.512249 | −0.256125 | − | 0.966644i | \(-0.582446\pi\) | ||||
−0.256125 | + | 0.966644i | \(0.582446\pi\) | |||||||
\(854\) | −2.41074 | + | 1.08781i | −0.0824939 | + | 0.0372242i | ||||
\(855\) | 14.9776 | + | 2.12625i | 0.512225 | + | 0.0727162i | ||||
\(856\) | −0.303807 | + | 0.175403i | −0.0103839 | + | 0.00599514i | ||||
\(857\) | −1.02659 | − | 1.77810i | −0.0350675 | − | 0.0607387i | 0.847959 | − | 0.530062i | \(-0.177831\pi\) |
−0.883027 | + | 0.469323i | \(0.844498\pi\) | |||||||
\(858\) | −15.7097 | + | 15.3716i | −0.536321 | + | 0.524778i | ||||
\(859\) | −45.8673 | − | 26.4815i | −1.56497 | − | 0.903536i | −0.996741 | − | 0.0806667i | \(-0.974295\pi\) |
−0.568230 | − | 0.822870i | \(-0.692372\pi\) | |||||||
\(860\) | 14.1909 | + | 8.19314i | 0.483907 | + | 0.279384i | ||||
\(861\) | −12.5199 | − | 5.77264i | −0.426677 | − | 0.196731i | ||||
\(862\) | −11.3685 | − | 19.6908i | −0.387213 | − | 0.670672i | ||||
\(863\) | 10.0096 | − | 17.3372i | 0.340732 | − | 0.590165i | −0.643837 | − | 0.765163i | \(-0.722658\pi\) |
0.984569 | + | 0.174998i | \(0.0559918\pi\) | |||||||
\(864\) | 0.261103 | + | 5.18959i | 0.00888290 | + | 0.176553i | ||||
\(865\) | −12.8581 | − | 7.42361i | −0.437187 | − | 0.252410i | ||||
\(866\) | 11.9025 | + | 6.87194i | 0.404465 | + | 0.233518i | ||||
\(867\) | −46.0585 | − | 53.0588i | −1.56423 | − | 1.80197i | ||||
\(868\) | −28.1417 | − | 2.81557i | −0.955192 | − | 0.0955667i | ||||
\(869\) | 0.614659 | − | 1.06462i | 0.0208509 | − | 0.0361148i | ||||
\(870\) | −0.162686 | + | 0.471407i | −0.00551556 | + | 0.0159822i | ||||
\(871\) | 19.8984 | − | 1.18799i | 0.674230 | − | 0.0402534i | ||||
\(872\) | 8.12542 | − | 4.69121i | 0.275161 | − | 0.158864i | ||||
\(873\) | 8.15869 | + | 6.39259i | 0.276130 | + | 0.216356i | ||||
\(874\) | −10.7882 | − | 6.22855i | −0.364915 | − | 0.210684i | ||||
\(875\) | 3.02590 | − | 30.2439i | 0.102294 | − | 1.02243i | ||||
\(876\) | −10.0126 | + | 1.93902i | −0.338296 | + | 0.0655135i | ||||
\(877\) | 0.242356i | 0.00818379i | 0.999992 | + | 0.00409190i | \(0.00130249\pi\) | ||||
−0.999992 | + | 0.00409190i | \(0.998698\pi\) | |||||||
\(878\) | −10.5448 | − | 6.08806i | −0.355871 | − | 0.205462i | ||||
\(879\) | 19.8092 | − | 17.1956i | 0.668147 | − | 0.579995i | ||||
\(880\) | 5.13875i | 0.173227i | ||||||||
\(881\) | 13.7225 | − | 23.7681i | 0.462323 | − | 0.800768i | −0.536753 | − | 0.843740i | \(-0.680349\pi\) |
0.999076 | + | 0.0429719i | \(0.0136826\pi\) | |||||||
\(882\) | −13.6366 | − | 15.9701i | −0.459167 | − | 0.537741i | ||||
\(883\) | 13.7372 | 0.462293 | 0.231146 | − | 0.972919i | \(-0.425752\pi\) | ||||
0.231146 | + | 0.972919i | \(0.425752\pi\) | |||||||
\(884\) | 22.8337 | − | 15.0656i | 0.767980 | − | 0.506710i | ||||
\(885\) | 2.16866 | + | 2.49827i | 0.0728988 | + | 0.0839785i | ||||
\(886\) | − | 2.24211i | − | 0.0753253i | ||||||
\(887\) | −25.3915 | − | 43.9794i | −0.852563 | − | 1.47668i | −0.878888 | − | 0.477029i | \(-0.841714\pi\) |
0.0263247 | − | 0.999653i | \(-0.491620\pi\) | |||||||
\(888\) | −7.27857 | + | 6.31827i | −0.244253 | + | 0.212027i | ||||
\(889\) | 24.3380 | − | 33.8532i | 0.816271 | − | 1.13540i | ||||
\(890\) | −10.5565 | − | 18.2844i | −0.353855 | − | 0.612894i | ||||
\(891\) | 22.8465 | − | 21.9399i | 0.765387 | − | 0.735016i | ||||
\(892\) | 3.78556 | + | 6.55677i | 0.126750 | + | 0.219537i | ||||
\(893\) | −38.2616 | − | 22.0904i | −1.28038 | − | 0.739226i | ||||
\(894\) | 3.68581 | + | 4.24601i | 0.123272 | + | 0.142008i | ||||
\(895\) | 6.23477 | − | 10.7989i | 0.208405 | − | 0.360969i | ||||
\(896\) | 1.08820 | + | 2.41160i | 0.0363542 | + | 0.0805659i | ||||
\(897\) | 15.7537 | + | 16.1002i | 0.526001 | + | 0.537571i | ||||
\(898\) | 3.91929 | − | 6.78842i | 0.130789 | − | 0.226532i | ||||
\(899\) | − | 2.10792i | − | 0.0703030i | ||||||
\(900\) | 7.98235 | − | 3.21215i | 0.266078 | − | 0.107072i | ||||
\(901\) | − | 36.9321i | − | 1.23039i | ||||||
\(902\) | − | 10.5883i | − | 0.352552i | ||||||
\(903\) | −29.6797 | − | 42.0010i | −0.987679 | − | 1.39771i | ||||
\(904\) | 5.03517 | − | 2.90706i | 0.167467 | − | 0.0966873i | ||||
\(905\) | −18.5986 | + | 32.2137i | −0.618237 | + | 1.07082i | ||||
\(906\) | −15.2045 | − | 5.24719i | −0.505137 | − | 0.174326i | ||||
\(907\) | 17.8742 | 0.593504 | 0.296752 | − | 0.954955i | \(-0.404097\pi\) | ||||
0.296752 | + | 0.954955i | \(0.404097\pi\) | |||||||
\(908\) | −22.0466 | + | 12.7286i | −0.731640 | + | 0.422413i | ||||
\(909\) | 32.3321 | − | 13.0106i | 1.07239 | − | 0.431536i | ||||
\(910\) | −13.9172 | − | 0.558184i | −0.461350 | − | 0.0185036i | ||||
\(911\) | 43.8367i | 1.45238i | 0.687496 | + | 0.726188i | \(0.258710\pi\) | ||||
−0.687496 | + | 0.726188i | \(0.741290\pi\) | |||||||
\(912\) | 3.92130 | + | 4.51729i | 0.129847 | + | 0.149583i | ||||
\(913\) | − | 13.1269i | − | 0.434437i | ||||||
\(914\) | 5.66636 | + | 3.27147i | 0.187426 | + | 0.108211i | ||||
\(915\) | 0.824717 | − | 2.38975i | 0.0272643 | − | 0.0790025i | ||||
\(916\) | −5.51406 | − | 9.55063i | −0.182190 | − | 0.315562i | ||||
\(917\) | −19.5374 | + | 27.1757i | −0.645181 | + | 0.897421i | ||||
\(918\) | −33.1087 | + | 21.4028i | −1.09275 | + | 0.706397i | ||||
\(919\) | 53.7240 | 1.77219 | 0.886096 | − | 0.463502i | \(-0.153407\pi\) | ||||
0.886096 | + | 0.463502i | \(0.153407\pi\) | |||||||
\(920\) | 5.26649 | 0.173631 | ||||||||
\(921\) | −0.491915 | + | 0.0952630i | −0.0162091 | + | 0.00313902i | ||||
\(922\) | −20.3030 | − | 11.7219i | −0.668644 | − | 0.386042i | ||||
\(923\) | −32.1246 | + | 21.1957i | −1.05739 | + | 0.697664i | ||||
\(924\) | 6.75311 | − | 14.6464i | 0.222161 | − | 0.481831i | ||||
\(925\) | 13.8221 | + | 7.98018i | 0.454467 | + | 0.262387i | ||||
\(926\) | −32.3336 | + | 18.6678i | −1.06255 | + | 0.613462i | ||||
\(927\) | 55.6467 | + | 7.89970i | 1.82768 | + | 0.259460i | ||||
\(928\) | −0.170773 | + | 0.0985961i | −0.00560591 | + | 0.00323657i | ||||
\(929\) | 7.60883i | 0.249638i | 0.992180 | + | 0.124819i | \(0.0398350\pi\) | ||||
−0.992180 | + | 0.124819i | \(0.960165\pi\) | |||||||
\(930\) | 20.4149 | − | 17.7215i | 0.669431 | − | 0.581110i | ||||
\(931\) | −23.6962 | − | 4.78954i | −0.776611 | − | 0.156971i | ||||
\(932\) | 6.18721 | − | 3.57219i | 0.202669 | − | 0.117011i | ||||
\(933\) | −13.5562 | − | 15.6166i | −0.443810 | − | 0.511264i | ||||
\(934\) | 6.73221 | 0.220285 | ||||||||
\(935\) | −33.7652 | + | 19.4943i | −1.10424 | + | 0.637532i | ||||
\(936\) | −4.62887 | − | 9.77617i | −0.151299 | − | 0.319544i | ||||
\(937\) | 25.7440i | 0.841020i | 0.907288 | + | 0.420510i | \(0.138149\pi\) | ||||
−0.907288 | + | 0.420510i | \(0.861851\pi\) | |||||||
\(938\) | −13.3329 | + | 6.01626i | −0.435334 | + | 0.196438i | ||||
\(939\) | −15.0358 | − | 5.18896i | −0.490675 | − | 0.169335i | ||||
\(940\) | 18.6783 | 0.609219 | ||||||||
\(941\) | 17.8743 | − | 10.3197i | 0.582684 | − | 0.336413i | −0.179515 | − | 0.983755i | \(-0.557453\pi\) |
0.762199 | + | 0.647342i | \(0.224120\pi\) | |||||||
\(942\) | 30.6852 | + | 10.5897i | 0.999777 | + | 0.345030i | ||||
\(943\) | −10.8515 | −0.353374 | ||||||||
\(944\) | 1.30815i | 0.0425766i | ||||||||
\(945\) | 20.0484 | + | 0.992152i | 0.652174 | + | 0.0322747i | ||||
\(946\) | 19.7492 | − | 34.2066i | 0.642101 | − | 1.11215i | ||||
\(947\) | 30.3820 | + | 52.6232i | 0.987282 | + | 1.71002i | 0.631320 | + | 0.775522i | \(0.282513\pi\) |
0.355962 | + | 0.934500i | \(0.384153\pi\) | |||||||
\(948\) | 0.396590 | + | 0.456866i | 0.0128806 | + | 0.0148383i | ||||
\(949\) | 17.7206 | − | 11.6920i | 0.575235 | − | 0.379538i | ||||
\(950\) | 4.95273 | − | 8.57838i | 0.160688 | − | 0.278319i | ||||
\(951\) | 13.0096 | − | 37.6973i | 0.421865 | − | 1.22242i | ||||
\(952\) | −11.7177 | + | 16.2988i | −0.379773 | + | 0.528249i | ||||
\(953\) | −3.76601 | + | 2.17431i | −0.121993 | + | 0.0704328i | −0.559755 | − | 0.828658i | \(-0.689105\pi\) |
0.437762 | + | 0.899091i | \(0.355771\pi\) | |||||||
\(954\) | −14.4581 | − | 2.05250i | −0.468100 | − | 0.0664522i | ||||
\(955\) | 15.1305 | − | 26.2068i | 0.489611 | − | 0.848032i | ||||
\(956\) | 3.66232 | − | 6.34332i | 0.118448 | − | 0.205158i | ||||
\(957\) | 1.13630 | + | 0.392146i | 0.0367315 | + | 0.0126763i | ||||
\(958\) | −11.2141 | + | 6.47445i | −0.362310 | + | 0.209180i | ||||
\(959\) | −1.93295 | + | 2.68865i | −0.0624182 | + | 0.0868212i | ||||
\(960\) | −2.39060 | − | 0.825011i | −0.0771562 | − | 0.0266271i | ||||
\(961\) | −41.6345 | + | 72.1131i | −1.34305 | + | 2.32623i | ||||
\(962\) | 8.97856 | − | 17.9428i | 0.289480 | − | 0.578499i | ||||
\(963\) | −0.649087 | + | 0.828412i | −0.0209165 | + | 0.0266952i | ||||
\(964\) | 8.71341 | + | 15.0921i | 0.280640 | + | 0.486083i | ||||
\(965\) | −6.92556 | + | 11.9954i | −0.222942 | + | 0.386146i | ||||
\(966\) | −15.0105 | − | 6.92097i | −0.482954 | − | 0.222679i | ||||
\(967\) | 34.3376i | 1.10422i | 0.833771 | + | 0.552111i | \(0.186177\pi\) | ||||
−0.833771 | + | 0.552111i | \(0.813823\pi\) | |||||||
\(968\) | 1.38671 | 0.0445707 | ||||||||
\(969\) | −14.8059 | + | 42.9024i | −0.475635 | + | 1.37822i | ||||
\(970\) | −4.36868 | + | 2.52226i | −0.140270 | + | 0.0809849i | ||||
\(971\) | −1.24035 | −0.0398046 | −0.0199023 | − | 0.999802i | \(-0.506336\pi\) | ||||
−0.0199023 | + | 0.999802i | \(0.506336\pi\) | |||||||
\(972\) | 6.53873 | + | 14.1508i | 0.209730 | + | 0.453887i | ||||
\(973\) | 24.1827 | − | 10.9121i | 0.775261 | − | 0.349825i | ||||
\(974\) | − | 8.67630i | − | 0.278007i | ||||||
\(975\) | −12.8024 | + | 12.5268i | −0.410004 | + | 0.401180i | ||||
\(976\) | 0.865717 | − | 0.499822i | 0.0277109 | − | 0.0159989i | ||||
\(977\) | −0.572082 | −0.0183025 | −0.00915126 | − | 0.999958i | \(-0.502913\pi\) | ||||
−0.00915126 | + | 0.999958i | \(0.502913\pi\) | |||||||
\(978\) | −1.18947 | + | 1.03253i | −0.0380350 | + | 0.0330168i | ||||
\(979\) | −44.0736 | + | 25.4459i | −1.40860 | + | 0.813255i | ||||
\(980\) | 9.68832 | − | 3.25543i | 0.309482 | − | 0.103991i | ||||
\(981\) | 17.3601 | − | 22.1562i | 0.554264 | − | 0.707393i | ||||
\(982\) | 17.0579i | 0.544338i | ||||||||
\(983\) | −6.05482 | + | 3.49575i | −0.193119 | + | 0.111497i | −0.593442 | − | 0.804877i | \(-0.702231\pi\) |
0.400323 | + | 0.916374i | \(0.368898\pi\) | |||||||
\(984\) | 4.92578 | + | 1.69992i | 0.157028 | + | 0.0541915i | ||||
\(985\) | 8.12856 | − | 4.69303i | 0.258997 | − | 0.149532i | ||||
\(986\) | −1.29569 | − | 0.748066i | −0.0412631 | − | 0.0238233i | ||||
\(987\) | −53.2366 | − | 24.5461i | −1.69454 | − | 0.781312i | ||||
\(988\) | −11.1358 | − | 5.57236i | −0.354278 | − | 0.177280i | ||||
\(989\) | −35.0569 | − | 20.2401i | −1.11474 | − | 0.643598i | ||||
\(990\) | 5.75512 | + | 14.3017i | 0.182910 | + | 0.454539i | ||||
\(991\) | −42.7518 | −1.35806 | −0.679028 | − | 0.734113i | \(-0.737598\pi\) | ||||
−0.679028 | + | 0.734113i | \(0.737598\pi\) | |||||||
\(992\) | 10.6897 | 0.339397 | ||||||||
\(993\) | 7.79436 | + | 40.2482i | 0.247347 | + | 1.27724i | ||||
\(994\) | 16.4856 | − | 22.9308i | 0.522891 | − | 0.727320i | ||||
\(995\) | −0.923605 | − | 1.59973i | −0.0292803 | − | 0.0507149i | ||||
\(996\) | 6.10676 | + | 2.10748i | 0.193500 | + | 0.0667782i | ||||
\(997\) | 7.73983 | + | 4.46859i | 0.245123 | + | 0.141522i | 0.617529 | − | 0.786548i | \(-0.288134\pi\) |
−0.372406 | + | 0.928070i | \(0.621467\pi\) | |||||||
\(998\) | 23.2725i | 0.736678i | ||||||||
\(999\) | −13.1810 | + | 25.7361i | −0.417028 | + | 0.814253i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bn.e.173.16 | yes | 34 | |
3.2 | odd | 2 | 546.2.bn.f.173.2 | yes | 34 | ||
7.3 | odd | 6 | 546.2.bi.f.17.13 | yes | 34 | ||
13.10 | even | 6 | 546.2.bi.e.257.7 | yes | 34 | ||
21.17 | even | 6 | 546.2.bi.e.17.7 | ✓ | 34 | ||
39.23 | odd | 6 | 546.2.bi.f.257.13 | yes | 34 | ||
91.10 | odd | 6 | 546.2.bn.f.101.2 | yes | 34 | ||
273.101 | even | 6 | inner | 546.2.bn.e.101.16 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.7 | ✓ | 34 | 21.17 | even | 6 | ||
546.2.bi.e.257.7 | yes | 34 | 13.10 | even | 6 | ||
546.2.bi.f.17.13 | yes | 34 | 7.3 | odd | 6 | ||
546.2.bi.f.257.13 | yes | 34 | 39.23 | odd | 6 | ||
546.2.bn.e.101.16 | yes | 34 | 273.101 | even | 6 | inner | |
546.2.bn.e.173.16 | yes | 34 | 1.1 | even | 1 | trivial | |
546.2.bn.f.101.2 | yes | 34 | 91.10 | odd | 6 | ||
546.2.bn.f.173.2 | yes | 34 | 3.2 | odd | 2 |