Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [15,6,Mod(2,15)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(15, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("15.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 15 = 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 15.e (of order \(4\), 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: | \(2.40575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 10768x^{12} + 16341006x^{8} + 4217167600x^{4} + 50906640625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{9}\cdot 3^{10}\cdot 5^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 2.2 | ||
Root | \(1.33460 + 1.33460i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 15.2 |
Dual form | 15.6.e.a.8.2 |
$q$-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 \(\left(\mathbb{Z}/15\mathbb{Z}\right)^\times\).
\(n\) | \(7\) | \(11\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.80199 | + | 5.80199i | −1.02566 | + | 1.02566i | −0.0259941 | + | 0.999662i | \(0.508275\pi\) |
−0.999662 | + | 0.0259941i | \(0.991725\pi\) | |||||||
\(3\) | −7.07428 | − | 13.8908i | −0.453815 | − | 0.891096i | ||||
\(4\) | − | 35.3261i | − | 1.10394i | ||||||
\(5\) | 42.8643 | − | 35.8839i | 0.766779 | − | 0.641911i | ||||
\(6\) | 121.639 | + | 39.5494i | 1.37942 | + | 0.448500i | ||||
\(7\) | −140.332 | − | 140.332i | −1.08246 | − | 1.08246i | −0.996279 | − | 0.0861819i | \(-0.972533\pi\) |
−0.0861819 | − | 0.996279i | \(-0.527467\pi\) | |||||||
\(8\) | 19.2981 | + | 19.2981i | 0.106608 | + | 0.106608i | ||||
\(9\) | −142.909 | + | 196.535i | −0.588104 | + | 0.808786i | ||||
\(10\) | −40.5000 | + | 456.896i | −0.128072 | + | 1.44483i | ||||
\(11\) | − | 164.276i | − | 0.409347i | −0.978830 | − | 0.204674i | \(-0.934387\pi\) | ||
0.978830 | − | 0.204674i | \(-0.0656133\pi\) | |||||||
\(12\) | −490.708 | + | 249.907i | −0.983718 | + | 0.500985i | ||||
\(13\) | 32.2859 | − | 32.2859i | 0.0529852 | − | 0.0529852i | −0.680118 | − | 0.733103i | \(-0.738071\pi\) |
0.733103 | + | 0.680118i | \(0.238071\pi\) | |||||||
\(14\) | 1628.41 | 2.22047 | ||||||||
\(15\) | −801.690 | − | 341.567i | −0.919980 | − | 0.391965i | ||||
\(16\) | 906.501 | 0.885255 | ||||||||
\(17\) | −489.608 | + | 489.608i | −0.410891 | + | 0.410891i | −0.882049 | − | 0.471158i | \(-0.843836\pi\) |
0.471158 | + | 0.882049i | \(0.343836\pi\) | |||||||
\(18\) | −311.136 | − | 1969.45i | −0.226344 | − | 1.43273i | ||||
\(19\) | − | 807.175i | − | 0.512960i | −0.966549 | − | 0.256480i | \(-0.917437\pi\) | ||
0.966549 | − | 0.256480i | \(-0.0825628\pi\) | |||||||
\(20\) | −1267.64 | − | 1514.23i | −0.708632 | − | 0.846479i | ||||
\(21\) | −956.579 | + | 2942.08i | −0.473339 | + | 1.45581i | ||||
\(22\) | 953.126 | + | 953.126i | 0.419850 | + | 0.419850i | ||||
\(23\) | 136.703 | + | 136.703i | 0.0538838 | + | 0.0538838i | 0.733535 | − | 0.679651i | \(-0.237869\pi\) |
−0.679651 | + | 0.733535i | \(0.737869\pi\) | |||||||
\(24\) | 131.546 | − | 404.587i | 0.0466177 | − | 0.143379i | ||||
\(25\) | 549.691 | − | 3076.27i | 0.175901 | − | 0.984408i | ||||
\(26\) | 374.645i | 0.108689i | ||||||||
\(27\) | 3741.01 | + | 594.781i | 0.987596 | + | 0.157017i | ||||
\(28\) | −4957.39 | + | 4957.39i | −1.19497 | + | 1.19497i | ||||
\(29\) | 4091.96 | 0.903518 | 0.451759 | − | 0.892140i | \(-0.350797\pi\) | ||||
0.451759 | + | 0.892140i | \(0.350797\pi\) | |||||||
\(30\) | 6633.16 | − | 2669.63i | 1.34560 | − | 0.541562i | ||||
\(31\) | −5188.95 | −0.969784 | −0.484892 | − | 0.874574i | \(-0.661141\pi\) | ||||
−0.484892 | + | 0.874574i | \(0.661141\pi\) | |||||||
\(32\) | −5877.05 | + | 5877.05i | −1.01458 | + | 1.01458i | ||||
\(33\) | −2281.92 | + | 1162.13i | −0.364768 | + | 0.185768i | ||||
\(34\) | − | 5681.40i | − | 0.842865i | ||||||
\(35\) | −11050.9 | − | 979.570i | −1.52485 | − | 0.135165i | ||||
\(36\) | 6942.82 | + | 5048.43i | 0.892852 | + | 0.649232i | ||||
\(37\) | 6351.55 | + | 6351.55i | 0.762738 | + | 0.762738i | 0.976817 | − | 0.214078i | \(-0.0686747\pi\) |
−0.214078 | + | 0.976817i | \(0.568675\pi\) | |||||||
\(38\) | 4683.22 | + | 4683.22i | 0.526121 | + | 0.526121i | ||||
\(39\) | −676.877 | − | 220.078i | −0.0712604 | − | 0.0231694i | ||||
\(40\) | 1519.69 | + | 134.708i | 0.150178 | + | 0.0133120i | ||||
\(41\) | − | 14423.5i | − | 1.34002i | −0.742350 | − | 0.670012i | \(-0.766289\pi\) | ||
0.742350 | − | 0.670012i | \(-0.233711\pi\) | |||||||
\(42\) | −11519.8 | − | 22620.0i | −1.00768 | − | 1.97865i | ||||
\(43\) | 15108.4 | − | 15108.4i | 1.24608 | − | 1.24608i | 0.288644 | − | 0.957436i | \(-0.406795\pi\) |
0.957436 | − | 0.288644i | \(-0.0932045\pi\) | |||||||
\(44\) | −5803.23 | −0.451896 | ||||||||
\(45\) | 926.743 | + | 13552.5i | 0.0682226 | + | 0.997670i | ||||
\(46\) | −1586.30 | −0.110533 | ||||||||
\(47\) | 4527.76 | − | 4527.76i | 0.298977 | − | 0.298977i | −0.541636 | − | 0.840613i | \(-0.682195\pi\) |
0.840613 | + | 0.541636i | \(0.182195\pi\) | |||||||
\(48\) | −6412.84 | − | 12592.0i | −0.401742 | − | 0.788847i | ||||
\(49\) | 22579.3i | 1.34345i | ||||||||
\(50\) | 14659.2 | + | 21037.8i | 0.829250 | + | 1.19008i | ||||
\(51\) | 10264.7 | + | 3337.43i | 0.552612 | + | 0.179675i | ||||
\(52\) | −1140.54 | − | 1140.54i | −0.0584925 | − | 0.0584925i | ||||
\(53\) | 582.510 | + | 582.510i | 0.0284848 | + | 0.0284848i | 0.721206 | − | 0.692721i | \(-0.243588\pi\) |
−0.692721 | + | 0.721206i | \(0.743588\pi\) | |||||||
\(54\) | −25156.2 | + | 18254.4i | −1.17398 | + | 0.851888i | ||||
\(55\) | −5894.86 | − | 7041.56i | −0.262764 | − | 0.313879i | ||||
\(56\) | − | 5416.30i | − | 0.230798i | ||||||
\(57\) | −11212.3 | + | 5710.18i | −0.457097 | + | 0.232789i | ||||
\(58\) | −23741.5 | + | 23741.5i | −0.926699 | + | 0.926699i | ||||
\(59\) | 6015.51 | 0.224979 | 0.112490 | − | 0.993653i | \(-0.464117\pi\) | ||||
0.112490 | + | 0.993653i | \(0.464117\pi\) | |||||||
\(60\) | −12066.2 | + | 28320.6i | −0.432706 | + | 1.01560i | ||||
\(61\) | −19406.1 | −0.667751 | −0.333875 | − | 0.942617i | \(-0.608356\pi\) | ||||
−0.333875 | + | 0.942617i | \(0.608356\pi\) | |||||||
\(62\) | 30106.2 | − | 30106.2i | 0.994665 | − | 0.994665i | ||||
\(63\) | 47635.0 | − | 7525.42i | 1.51208 | − | 0.238880i | ||||
\(64\) | − | 39189.1i | − | 1.19596i | ||||||
\(65\) | 225.367 | − | 2542.46i | 0.00661618 | − | 0.0746397i | ||||
\(66\) | 6497.02 | − | 19982.4i | 0.183592 | − | 0.564660i | ||||
\(67\) | 7481.04 | + | 7481.04i | 0.203599 | + | 0.203599i | 0.801540 | − | 0.597941i | \(-0.204014\pi\) |
−0.597941 | + | 0.801540i | \(0.704014\pi\) | |||||||
\(68\) | 17296.0 | + | 17296.0i | 0.453599 | + | 0.453599i | ||||
\(69\) | 931.840 | − | 2865.99i | 0.0235623 | − | 0.0724689i | ||||
\(70\) | 69800.7 | − | 58433.8i | 1.70261 | − | 1.42534i | ||||
\(71\) | − | 8971.59i | − | 0.211214i | −0.994408 | − | 0.105607i | \(-0.966321\pi\) | ||
0.994408 | − | 0.105607i | \(-0.0336786\pi\) | |||||||
\(72\) | −6550.64 | + | 1034.88i | −0.148920 | + | 0.0235265i | ||||
\(73\) | −41387.0 | + | 41387.0i | −0.908986 | + | 0.908986i | −0.996190 | − | 0.0872047i | \(-0.972207\pi\) |
0.0872047 | + | 0.996190i | \(0.472207\pi\) | |||||||
\(74\) | −73703.3 | −1.56461 | ||||||||
\(75\) | −46620.6 | + | 14126.8i | −0.957028 | + | 0.289995i | ||||
\(76\) | −28514.4 | −0.566278 | ||||||||
\(77\) | −23053.2 | + | 23053.2i | −0.443103 | + | 0.443103i | ||||
\(78\) | 5204.12 | − | 2650.34i | 0.0968525 | − | 0.0493248i | ||||
\(79\) | − | 45334.9i | − | 0.817268i | −0.912698 | − | 0.408634i | \(-0.866005\pi\) | ||
0.912698 | − | 0.408634i | \(-0.133995\pi\) | |||||||
\(80\) | 38856.5 | − | 32528.8i | 0.678795 | − | 0.568255i | ||||
\(81\) | −18202.9 | − | 56173.3i | −0.308268 | − | 0.951299i | ||||
\(82\) | 83685.2 | + | 83685.2i | 1.37440 | + | 1.37440i | ||||
\(83\) | −47307.8 | − | 47307.8i | −0.753768 | − | 0.753768i | 0.221412 | − | 0.975180i | \(-0.428933\pi\) |
−0.975180 | + | 0.221412i | \(0.928933\pi\) | |||||||
\(84\) | 103932. | + | 33792.2i | 1.60713 | + | 0.522539i | ||||
\(85\) | −3417.64 | + | 38555.8i | −0.0513073 | + | 0.578818i | ||||
\(86\) | 175317.i | 2.55610i | ||||||||
\(87\) | −28947.7 | − | 56840.7i | −0.410030 | − | 0.805121i | ||||
\(88\) | 3170.22 | − | 3170.22i | 0.0436398 | − | 0.0436398i | ||||
\(89\) | 64592.0 | 0.864378 | 0.432189 | − | 0.901783i | \(-0.357741\pi\) | ||||
0.432189 | + | 0.901783i | \(0.357741\pi\) | |||||||
\(90\) | −84008.2 | − | 73254.3i | −1.09324 | − | 0.953294i | ||||
\(91\) | −9061.51 | −0.114709 | ||||||||
\(92\) | 4829.19 | − | 4829.19i | 0.0594846 | − | 0.0594846i | ||||
\(93\) | 36708.1 | + | 72078.7i | 0.440103 | + | 0.864171i | ||||
\(94\) | 52540.0i | 0.613296i | ||||||||
\(95\) | −28964.6 | − | 34599.0i | −0.329275 | − | 0.393327i | ||||
\(96\) | 123213. | + | 40061.1i | 1.36451 | + | 0.443654i | ||||
\(97\) | −15396.4 | − | 15396.4i | −0.166146 | − | 0.166146i | 0.619137 | − | 0.785283i | \(-0.287483\pi\) |
−0.785283 | + | 0.619137i | \(0.787483\pi\) | |||||||
\(98\) | −131005. | − | 131005.i | −1.37791 | − | 1.37791i | ||||
\(99\) | 32285.9 | + | 23476.5i | 0.331074 | + | 0.240739i | ||||
\(100\) | −108673. | − | 19418.4i | −1.08673 | − | 0.194184i | ||||
\(101\) | − | 12805.3i | − | 0.124907i | −0.998048 | − | 0.0624536i | \(-0.980107\pi\) | ||
0.998048 | − | 0.0624536i | \(-0.0198926\pi\) | |||||||
\(102\) | −78919.3 | + | 40191.8i | −0.751074 | + | 0.382505i | ||||
\(103\) | 78304.8 | − | 78304.8i | 0.727269 | − | 0.727269i | −0.242806 | − | 0.970075i | \(-0.578068\pi\) |
0.970075 | + | 0.242806i | \(0.0780677\pi\) | |||||||
\(104\) | 1246.12 | 0.0112973 | ||||||||
\(105\) | 64570.2 | + | 160436.i | 0.571556 | + | 1.42013i | ||||
\(106\) | −6759.43 | −0.0584313 | ||||||||
\(107\) | −114730. | + | 114730.i | −0.968759 | + | 0.968759i | −0.999527 | − | 0.0307677i | \(-0.990205\pi\) |
0.0307677 | + | 0.999527i | \(0.490205\pi\) | |||||||
\(108\) | 21011.3 | − | 132155.i | 0.173338 | − | 1.09025i | ||||
\(109\) | − | 87202.6i | − | 0.703013i | −0.936185 | − | 0.351507i | \(-0.885670\pi\) | ||
0.936185 | − | 0.351507i | \(-0.114330\pi\) | |||||||
\(110\) | 75057.0 | + | 6653.17i | 0.591438 | + | 0.0524260i | ||||
\(111\) | 43295.6 | − | 133161.i | 0.333531 | − | 1.02582i | ||||
\(112\) | −127211. | − | 127211.i | −0.958254 | − | 0.958254i | ||||
\(113\) | 170508. | + | 170508.i | 1.25617 | + | 1.25617i | 0.952908 | + | 0.303259i | \(0.0980749\pi\) |
0.303259 | + | 0.952908i | \(0.401925\pi\) | |||||||
\(114\) | 31923.3 | − | 98184.1i | 0.230063 | − | 0.707586i | ||||
\(115\) | 10765.1 | + | 954.236i | 0.0759056 | + | 0.00672839i | ||||
\(116\) | − | 144553.i | − | 0.997431i | ||||||
\(117\) | 1731.36 | + | 10959.3i | 0.0116929 | + | 0.0740144i | ||||
\(118\) | −34901.9 | + | 34901.9i | −0.230751 | + | 0.230751i | ||||
\(119\) | 137416. | 0.889547 | ||||||||
\(120\) | −8879.53 | − | 22062.7i | −0.0562907 | − | 0.139864i | ||||
\(121\) | 134064. | 0.832435 | ||||||||
\(122\) | 112594. | − | 112594.i | 0.684883 | − | 0.684883i | ||||
\(123\) | −200355. | + | 102036.i | −1.19409 | + | 0.608123i | ||||
\(124\) | 183305.i | 1.07059i | ||||||||
\(125\) | −86826.6 | − | 151587.i | −0.497025 | − | 0.867736i | ||||
\(126\) | −232715. | + | 320040.i | −1.30586 | + | 1.79588i | ||||
\(127\) | 140821. | + | 140821.i | 0.774743 | + | 0.774743i | 0.978932 | − | 0.204189i | \(-0.0654556\pi\) |
−0.204189 | + | 0.978932i | \(0.565456\pi\) | |||||||
\(128\) | 39309.1 | + | 39309.1i | 0.212065 | + | 0.212065i | ||||
\(129\) | −316748. | − | 102987.i | −1.67587 | − | 0.544887i | ||||
\(130\) | 13443.7 | + | 16058.9i | 0.0697688 | + | 0.0833406i | ||||
\(131\) | 97283.3i | 0.495291i | 0.968851 | + | 0.247645i | \(0.0796568\pi\) | ||||
−0.968851 | + | 0.247645i | \(0.920343\pi\) | |||||||
\(132\) | 41053.7 | + | 80611.6i | 0.205077 | + | 0.402682i | ||||
\(133\) | −113273. | + | 113273.i | −0.555260 | + | 0.555260i | ||||
\(134\) | −86809.8 | −0.417645 | ||||||||
\(135\) | 181699. | − | 108747.i | 0.858059 | − | 0.513551i | ||||
\(136\) | −18897.1 | −0.0876086 | ||||||||
\(137\) | 118487. | − | 118487.i | 0.539349 | − | 0.539349i | −0.383989 | − | 0.923338i | \(-0.625450\pi\) |
0.923338 | + | 0.383989i | \(0.125450\pi\) | |||||||
\(138\) | 11221.9 | + | 22035.0i | 0.0501613 | + | 0.0984951i | ||||
\(139\) | 21750.2i | 0.0954829i | 0.998860 | + | 0.0477415i | \(0.0152024\pi\) | ||||
−0.998860 | + | 0.0477415i | \(0.984798\pi\) | |||||||
\(140\) | −34604.4 | + | 390386.i | −0.149215 | + | 1.68335i | ||||
\(141\) | −94924.8 | − | 30863.6i | −0.402098 | − | 0.130737i | ||||
\(142\) | 52053.1 | + | 52053.1i | 0.216633 | + | 0.216633i | ||||
\(143\) | −5303.79 | − | 5303.79i | −0.0216893 | − | 0.0216893i | ||||
\(144\) | −129547. | + | 178159.i | −0.520621 | + | 0.715981i | ||||
\(145\) | 175399. | − | 146836.i | 0.692799 | − | 0.579978i | ||||
\(146\) | − | 480254.i | − | 1.86461i | ||||||
\(147\) | 313644. | − | 159732.i | 1.19714 | − | 0.609676i | ||||
\(148\) | 224376. | − | 224376.i | 0.842018 | − | 0.842018i | ||||
\(149\) | 23997.2 | 0.0885514 | 0.0442757 | − | 0.999019i | \(-0.485902\pi\) | ||||
0.0442757 | + | 0.999019i | \(0.485902\pi\) | |||||||
\(150\) | 188529. | − | 352456.i | 0.684147 | − | 1.27902i | ||||
\(151\) | −359892. | −1.28449 | −0.642243 | − | 0.766501i | \(-0.721996\pi\) | ||||
−0.642243 | + | 0.766501i | \(0.721996\pi\) | |||||||
\(152\) | 15577.0 | − | 15577.0i | 0.0546858 | − | 0.0546858i | ||||
\(153\) | −26255.6 | − | 166195.i | −0.0906762 | − | 0.573969i | ||||
\(154\) | − | 267509.i | − | 0.908942i | ||||||
\(155\) | −222420. | + | 186200.i | −0.743611 | + | 0.622515i | ||||
\(156\) | −7774.50 | + | 23911.4i | −0.0255777 | + | 0.0786673i | ||||
\(157\) | −310096. | − | 310096.i | −1.00403 | − | 1.00403i | −0.999992 | − | 0.00403898i | \(-0.998714\pi\) |
−0.00403898 | − | 0.999992i | \(-0.501286\pi\) | |||||||
\(158\) | 263032. | + | 263032.i | 0.838236 | + | 0.838236i | ||||
\(159\) | 3970.70 | − | 12212.4i | 0.0124559 | − | 0.0383096i | ||||
\(160\) | −41023.9 | + | 462807.i | −0.126689 | + | 1.42922i | ||||
\(161\) | − | 38367.7i | − | 0.116654i | ||||||
\(162\) | 431530. | + | 220303.i | 1.29188 | + | 0.659529i | ||||
\(163\) | 150586. | − | 150586.i | 0.443932 | − | 0.443932i | −0.449399 | − | 0.893331i | \(-0.648362\pi\) |
0.893331 | + | 0.449399i | \(0.148362\pi\) | |||||||
\(164\) | −509528. | −1.47931 | ||||||||
\(165\) | −56111.1 | + | 131698.i | −0.160450 | + | 0.376591i | ||||
\(166\) | 548959. | 1.54621 | ||||||||
\(167\) | −363760. | + | 363760.i | −1.00931 | + | 1.00931i | −0.00935065 | + | 0.999956i | \(0.502976\pi\) |
−0.999956 | + | 0.00935065i | \(0.997024\pi\) | |||||||
\(168\) | −75236.8 | + | 38316.4i | −0.205664 | + | 0.104740i | ||||
\(169\) | 369208.i | 0.994385i | ||||||||
\(170\) | −203871. | − | 243529.i | −0.541044 | − | 0.646292i | ||||
\(171\) | 158638. | + | 115353.i | 0.414875 | + | 0.301674i | ||||
\(172\) | −533720. | − | 533720.i | −1.37560 | − | 1.37560i | ||||
\(173\) | −80605.1 | − | 80605.1i | −0.204761 | − | 0.204761i | 0.597275 | − | 0.802036i | \(-0.296250\pi\) |
−0.802036 | + | 0.597275i | \(0.796250\pi\) | |||||||
\(174\) | 497743. | + | 161835.i | 1.24633 | + | 0.405228i | ||||
\(175\) | −508840. | + | 354561.i | −1.25599 | + | 0.875177i | ||||
\(176\) | − | 148916.i | − | 0.362377i | ||||||
\(177\) | −42555.4 | − | 83560.3i | −0.102099 | − | 0.200478i | ||||
\(178\) | −374762. | + | 374762.i | −0.886554 | + | 0.886554i | ||||
\(179\) | 407767. | 0.951216 | 0.475608 | − | 0.879657i | \(-0.342228\pi\) | ||||
0.475608 | + | 0.879657i | \(0.342228\pi\) | |||||||
\(180\) | 478756. | − | 32738.2i | 1.10137 | − | 0.0753137i | ||||
\(181\) | 229845. | 0.521481 | 0.260741 | − | 0.965409i | \(-0.416033\pi\) | ||||
0.260741 | + | 0.965409i | \(0.416033\pi\) | |||||||
\(182\) | 52574.7 | − | 52574.7i | 0.117652 | − | 0.117652i | ||||
\(183\) | 137284. | + | 269567.i | 0.303035 | + | 0.595030i | ||||
\(184\) | 5276.23i | 0.0114889i | ||||||||
\(185\) | 500173. | + | 44336.1i | 1.07446 | + | 0.0952420i | ||||
\(186\) | −631180. | − | 205220.i | −1.33774 | − | 0.434948i | ||||
\(187\) | 80430.8 | + | 80430.8i | 0.168197 | + | 0.168197i | ||||
\(188\) | −159948. | − | 159948.i | −0.330054 | − | 0.330054i | ||||
\(189\) | −441517. | − | 608451.i | −0.899069 | − | 1.23900i | ||||
\(190\) | 368795. | + | 32690.6i | 0.741141 | + | 0.0656960i | ||||
\(191\) | 424327.i | 0.841623i | 0.907148 | + | 0.420812i | \(0.138255\pi\) | ||||
−0.907148 | + | 0.420812i | \(0.861745\pi\) | |||||||
\(192\) | −544368. | + | 277235.i | −1.06571 | + | 0.542743i | ||||
\(193\) | 551081. | − | 551081.i | 1.06493 | − | 1.06493i | 0.0671936 | − | 0.997740i | \(-0.478595\pi\) |
0.997740 | − | 0.0671936i | \(-0.0214045\pi\) | |||||||
\(194\) | 178660. | 0.340818 | ||||||||
\(195\) | −36911.1 | + | 14855.5i | −0.0695137 | + | 0.0279770i | ||||
\(196\) | 797639. | 1.48308 | ||||||||
\(197\) | 54471.1 | − | 54471.1i | 0.100000 | − | 0.100000i | −0.655337 | − | 0.755337i | \(-0.727473\pi\) |
0.755337 | + | 0.655337i | \(0.227473\pi\) | |||||||
\(198\) | −323533. | + | 51112.1i | −0.586483 | + | 0.0926533i | ||||
\(199\) | 856506.i | 1.53320i | 0.642128 | + | 0.766598i | \(0.278052\pi\) | ||||
−0.642128 | + | 0.766598i | \(0.721948\pi\) | |||||||
\(200\) | 69974.4 | − | 48758.4i | 0.123698 | − | 0.0861934i | ||||
\(201\) | 50994.7 | − | 156841.i | 0.0890298 | − | 0.273822i | ||||
\(202\) | 74296.4 | + | 74296.4i | 0.128112 | + | 0.128112i | ||||
\(203\) | −574235. | − | 574235.i | −0.978023 | − | 0.978023i | ||||
\(204\) | 117898. | − | 362611.i | 0.198350 | − | 0.610051i | ||||
\(205\) | −517573. | − | 618255.i | −0.860176 | − | 1.02750i | ||||
\(206\) | 908647.i | 1.49186i | ||||||||
\(207\) | −46403.0 | + | 7330.80i | −0.0752697 | + | 0.0118912i | ||||
\(208\) | 29267.2 | − | 29267.2i | 0.0469054 | − | 0.0469054i | ||||
\(209\) | −132599. | −0.209979 | ||||||||
\(210\) | −1.30548e6 | − | 556211.i | −2.04278 | − | 0.870345i | ||||
\(211\) | −316233. | −0.488992 | −0.244496 | − | 0.969650i | \(-0.578622\pi\) | ||||
−0.244496 | + | 0.969650i | \(0.578622\pi\) | |||||||
\(212\) | 20577.8 | − | 20577.8i | 0.0314456 | − | 0.0314456i | ||||
\(213\) | −124623. | + | 63467.5i | −0.188212 | + | 0.0958523i | ||||
\(214\) | − | 1.33132e6i | − | 1.98723i | ||||||
\(215\) | 105462. | − | 1.18976e6i | 0.155596 | − | 1.75534i | ||||
\(216\) | 60716.3 | + | 83672.7i | 0.0885465 | + | 0.122025i | ||||
\(217\) | 728177. | + | 728177.i | 1.04975 | + | 1.04975i | ||||
\(218\) | 505949. | + | 505949.i | 0.721050 | + | 0.721050i | ||||
\(219\) | 867683. | + | 282116.i | 1.22250 | + | 0.397482i | ||||
\(220\) | −248751. | + | 208243.i | −0.346504 | + | 0.290077i | ||||
\(221\) | 31614.9i | 0.0435423i | ||||||||
\(222\) | 521397. | + | 1.02380e6i | 0.710046 | + | 1.39422i | ||||
\(223\) | 112517. | − | 112517.i | 0.151515 | − | 0.151515i | −0.627279 | − | 0.778795i | \(-0.715831\pi\) |
0.778795 | + | 0.627279i | \(0.215831\pi\) | |||||||
\(224\) | 1.64948e6 | 2.19648 | ||||||||
\(225\) | 526039. | + | 547661.i | 0.692727 | + | 0.721200i | ||||
\(226\) | −1.97857e6 | −2.57679 | ||||||||
\(227\) | 592921. | − | 592921.i | 0.763717 | − | 0.763717i | −0.213275 | − | 0.976992i | \(-0.568413\pi\) |
0.976992 | + | 0.213275i | \(0.0684131\pi\) | |||||||
\(228\) | 201719. | + | 396088.i | 0.256986 | + | 0.504608i | ||||
\(229\) | 67505.7i | 0.0850652i | 0.999095 | + | 0.0425326i | \(0.0135426\pi\) | ||||
−0.999095 | + | 0.0425326i | \(0.986457\pi\) | |||||||
\(230\) | −67995.5 | + | 56922.6i | −0.0847541 | + | 0.0709520i | ||||
\(231\) | 483312. | + | 157143.i | 0.595934 | + | 0.193760i | ||||
\(232\) | 78967.3 | + | 78967.3i | 0.0963224 | + | 0.0963224i | ||||
\(233\) | −440320. | − | 440320.i | −0.531348 | − | 0.531348i | 0.389625 | − | 0.920973i | \(-0.372604\pi\) |
−0.920973 | + | 0.389625i | \(0.872604\pi\) | |||||||
\(234\) | −73630.8 | − | 53540.2i | −0.0879062 | − | 0.0639205i | ||||
\(235\) | 31605.4 | − | 356553.i | 0.0373329 | − | 0.421167i | ||||
\(236\) | − | 212505.i | − | 0.248364i | ||||||
\(237\) | −629738. | + | 320711.i | −0.728264 | + | 0.370889i | ||||
\(238\) | −797284. | + | 797284.i | −0.912369 | + | 0.912369i | ||||
\(239\) | −1.45871e6 | −1.65186 | −0.825932 | − | 0.563770i | \(-0.809350\pi\) | ||||
−0.825932 | + | 0.563770i | \(0.809350\pi\) | |||||||
\(240\) | −726733. | − | 309630.i | −0.814417 | − | 0.346989i | ||||
\(241\) | 250218. | 0.277508 | 0.138754 | − | 0.990327i | \(-0.455690\pi\) | ||||
0.138754 | + | 0.990327i | \(0.455690\pi\) | |||||||
\(242\) | −777840. | + | 777840.i | −0.853792 | + | 0.853792i | ||||
\(243\) | −651520. | + | 650239.i | −0.707802 | + | 0.706411i | ||||
\(244\) | 685543.i | 0.737157i | ||||||||
\(245\) | 810233. | + | 967844.i | 0.862372 | + | 1.03013i | ||||
\(246\) | 570443. | − | 1.75447e6i | 0.601000 | − | 1.84845i | ||||
\(247\) | −26060.4 | − | 26060.4i | −0.0271793 | − | 0.0271793i | ||||
\(248\) | −100137. | − | 100137.i | −0.103387 | − | 0.103387i | ||||
\(249\) | −322475. | + | 991813.i | −0.329608 | + | 1.01375i | ||||
\(250\) | 1.38327e6 | + | 375741.i | 1.39978 | + | 0.380223i | ||||
\(251\) | 1.60059e6i | 1.60360i | 0.597590 | + | 0.801802i | \(0.296125\pi\) | ||||
−0.597590 | + | 0.801802i | \(0.703875\pi\) | |||||||
\(252\) | −265844. | − | 1.68276e6i | −0.263709 | − | 1.66925i | ||||
\(253\) | 22457.0 | − | 22457.0i | 0.0220572 | − | 0.0220572i | ||||
\(254\) | −1.63408e6 | −1.58924 | ||||||||
\(255\) | 559748. | − | 225280.i | 0.539066 | − | 0.216957i | ||||
\(256\) | 797909. | 0.760945 | ||||||||
\(257\) | 1.07743e6 | − | 1.07743e6i | 1.01755 | − | 1.01755i | 0.0177088 | − | 0.999843i | \(-0.494363\pi\) |
0.999843 | − | 0.0177088i | \(-0.00563717\pi\) | |||||||
\(258\) | 2.43530e6 | − | 1.24024e6i | 2.27773 | − | 1.16000i | ||||
\(259\) | − | 1.78266e6i | − | 1.65127i | ||||||
\(260\) | −89815.1 | − | 7961.35i | −0.0823979 | − | 0.00730388i | ||||
\(261\) | −584779. | + | 804214.i | −0.531362 | + | 0.730752i | ||||
\(262\) | −564437. | − | 564437.i | −0.507998 | − | 0.507998i | ||||
\(263\) | 64027.4 | + | 64027.4i | 0.0570790 | + | 0.0570790i | 0.735070 | − | 0.677991i | \(-0.237149\pi\) |
−0.677991 | + | 0.735070i | \(0.737149\pi\) | |||||||
\(264\) | −66463.9 | − | 21609.9i | −0.0586916 | − | 0.0190828i | ||||
\(265\) | 45871.6 | + | 4066.13i | 0.0401263 | + | 0.00355686i | ||||
\(266\) | − | 1.31441e6i | − | 1.13901i | ||||||
\(267\) | −456942. | − | 897235.i | −0.392268 | − | 0.770243i | ||||
\(268\) | 264276. | − | 264276.i | 0.224761 | − | 0.224761i | ||||
\(269\) | −8993.19 | −0.00757762 | −0.00378881 | − | 0.999993i | \(-0.501206\pi\) | ||||
−0.00378881 | + | 0.999993i | \(0.501206\pi\) | |||||||
\(270\) | −423264. | + | 1.68516e6i | −0.353347 | + | 1.40680i | ||||
\(271\) | 1.65405e6 | 1.36812 | 0.684062 | − | 0.729423i | \(-0.260212\pi\) | ||||
0.684062 | + | 0.729423i | \(0.260212\pi\) | |||||||
\(272\) | −443830. | + | 443830.i | −0.363743 | + | 0.363743i | ||||
\(273\) | 64103.6 | + | 125872.i | 0.0520566 | + | 0.102217i | ||||
\(274\) | 1.37492e6i | 1.10637i | ||||||||
\(275\) | −505358. | − | 90300.9i | −0.402965 | − | 0.0720046i | ||||
\(276\) | −101244. | − | 32918.3i | −0.0800015 | − | 0.0260114i | ||||
\(277\) | −726549. | − | 726549.i | −0.568939 | − | 0.568939i | 0.362892 | − | 0.931831i | \(-0.381789\pi\) |
−0.931831 | + | 0.362892i | \(0.881789\pi\) | |||||||
\(278\) | −126194. | − | 126194.i | −0.0979327 | − | 0.0979327i | ||||
\(279\) | 741548. | − | 1.01981e6i | 0.570334 | − | 0.784348i | ||||
\(280\) | −194358. | − | 232166.i | −0.148152 | − | 0.176972i | ||||
\(281\) | − | 2.29314e6i | − | 1.73246i | −0.499641 | − | 0.866232i | \(-0.666535\pi\) | ||
0.499641 | − | 0.866232i | \(-0.333465\pi\) | |||||||
\(282\) | 729823. | − | 371683.i | 0.546506 | − | 0.278323i | ||||
\(283\) | −562759. | + | 562759.i | −0.417692 | + | 0.417692i | −0.884408 | − | 0.466715i | \(-0.845437\pi\) |
0.466715 | + | 0.884408i | \(0.345437\pi\) | |||||||
\(284\) | −316932. | −0.233168 | ||||||||
\(285\) | −275704. | + | 647104.i | −0.201062 | + | 0.471913i | ||||
\(286\) | 61545.1 | 0.0444916 | ||||||||
\(287\) | −2.02409e6 | + | 2.02409e6i | −1.45052 | + | 1.45052i | ||||
\(288\) | −315161. | − | 1.99493e6i | −0.223899 | − | 1.41725i | ||||
\(289\) | 940425.i | 0.662338i | ||||||||
\(290\) | −165724. | + | 1.86960e6i | −0.115716 | + | 1.30543i | ||||
\(291\) | −104950. | + | 322788.i | −0.0726526 | + | 0.223452i | ||||
\(292\) | 1.46204e6 | + | 1.46204e6i | 1.00347 | + | 1.00347i | ||||
\(293\) | 1.15765e6 | + | 1.15765e6i | 0.787787 | + | 0.787787i | 0.981131 | − | 0.193344i | \(-0.0619332\pi\) |
−0.193344 | + | 0.981131i | \(0.561933\pi\) | |||||||
\(294\) | −892998. | + | 2.74653e6i | −0.602535 | + | 1.85317i | ||||
\(295\) | 257850. | − | 215860.i | 0.172509 | − | 0.144417i | ||||
\(296\) | 245146.i | 0.162628i | ||||||||
\(297\) | 97708.2 | − | 614557.i | 0.0642747 | − | 0.404270i | ||||
\(298\) | −139232. | + | 139232.i | −0.0908233 | + | 0.0908233i | ||||
\(299\) | 8827.15 | 0.00571009 | ||||||||
\(300\) | 499044. | + | 1.64693e6i | 0.320137 | + | 1.05650i | ||||
\(301\) | −4.24038e6 | −2.69767 | ||||||||
\(302\) | 2.08809e6 | − | 2.08809e6i | 1.31744 | − | 1.31744i | ||||
\(303\) | −177877. | + | 90588.5i | −0.111304 | + | 0.0566848i | ||||
\(304\) | − | 731705.i | − | 0.454101i | ||||||
\(305\) | −831829. | + | 696368.i | −0.512017 | + | 0.428636i | ||||
\(306\) | 1.11659e6 | + | 811924.i | 0.681697 | + | 0.495692i | ||||
\(307\) | 646353. | + | 646353.i | 0.391403 | + | 0.391403i | 0.875187 | − | 0.483784i | \(-0.160738\pi\) |
−0.483784 | + | 0.875187i | \(0.660738\pi\) | |||||||
\(308\) | 814380. | + | 814380.i | 0.489159 | + | 0.489159i | ||||
\(309\) | −1.64167e6 | − | 533767.i | −0.978112 | − | 0.318021i | ||||
\(310\) | 210152. | − | 2.37081e6i | 0.124202 | − | 1.40118i | ||||
\(311\) | − | 1.76436e6i | − | 1.03439i | −0.855867 | − | 0.517197i | \(-0.826976\pi\) | ||
0.855867 | − | 0.517197i | \(-0.173024\pi\) | |||||||
\(312\) | −8815.37 | − | 17309.6i | −0.00512689 | − | 0.0100670i | ||||
\(313\) | −562244. | + | 562244.i | −0.324388 | + | 0.324388i | −0.850447 | − | 0.526060i | \(-0.823669\pi\) |
0.526060 | + | 0.850447i | \(0.323669\pi\) | |||||||
\(314\) | 3.59835e6 | 2.05958 | ||||||||
\(315\) | 1.77180e6 | − | 2.03190e6i | 1.00609 | − | 1.15379i | ||||
\(316\) | −1.60151e6 | −0.902216 | ||||||||
\(317\) | 1.76895e6 | − | 1.76895e6i | 0.988706 | − | 0.988706i | −0.0112312 | − | 0.999937i | \(-0.503575\pi\) |
0.999937 | + | 0.0112312i | \(0.00357507\pi\) | |||||||
\(318\) | 47818.1 | + | 93894.0i | 0.0265170 | + | 0.0520679i | ||||
\(319\) | − | 672211.i | − | 0.369853i | ||||||
\(320\) | −1.40626e6 | − | 1.67981e6i | −0.767697 | − | 0.917034i | ||||
\(321\) | 2.40531e6 | + | 782057.i | 1.30289 | + | 0.423619i | ||||
\(322\) | 222609. | + | 222609.i | 0.119647 | + | 0.119647i | ||||
\(323\) | 395200. | + | 395200.i | 0.210771 | + | 0.210771i | ||||
\(324\) | −1.98438e6 | + | 643039.i | −1.05018 | + | 0.340310i | ||||
\(325\) | −81573.0 | − | 117068.i | −0.0428389 | − | 0.0614792i | ||||
\(326\) | 1.74740e6i | 0.910642i | ||||||||
\(327\) | −1.21132e6 | + | 616896.i | −0.626452 | + | 0.319038i | ||||
\(328\) | 278348. | − | 278348.i | 0.142857 | − | 0.142857i | ||||
\(329\) | −1.27078e6 | −0.647263 | ||||||||
\(330\) | −438556. | − | 1.08967e6i | −0.221687 | − | 0.550820i | ||||
\(331\) | 723065. | 0.362750 | 0.181375 | − | 0.983414i | \(-0.441945\pi\) | ||||
0.181375 | + | 0.983414i | \(0.441945\pi\) | |||||||
\(332\) | −1.67120e6 | + | 1.67120e6i | −0.832116 | + | 0.832116i | ||||
\(333\) | −2.15600e6 | + | 340607.i | −1.06546 | + | 0.168323i | ||||
\(334\) | − | 4.22106e6i | − | 2.07040i | ||||||
\(335\) | 589118. | + | 52220.4i | 0.286808 | + | 0.0254231i | ||||
\(336\) | −867140. | + | 2.66700e6i | −0.419026 | + | 1.28877i | ||||
\(337\) | 2.49850e6 | + | 2.49850e6i | 1.19841 | + | 1.19841i | 0.974643 | + | 0.223767i | \(0.0718354\pi\) |
0.223767 | + | 0.974643i | \(0.428165\pi\) | |||||||
\(338\) | −2.14214e6 | − | 2.14214e6i | −1.01990 | − | 1.01990i | ||||
\(339\) | 1.16227e6 | − | 3.57471e6i | 0.549298 | − | 1.68943i | ||||
\(340\) | 1.36203e6 | + | 120732.i | 0.638981 | + | 0.0566403i | ||||
\(341\) | 852419.i | 0.396979i | ||||||||
\(342\) | −1.58969e6 | + | 251141.i | −0.734933 | + | 0.116105i | ||||
\(343\) | 810037. | − | 810037.i | 0.371766 | − | 0.371766i | ||||
\(344\) | 583127. | 0.265685 | ||||||||
\(345\) | −62900.3 | − | 156287.i | −0.0284515 | − | 0.0706926i | ||||
\(346\) | 935340. | 0.420029 | ||||||||
\(347\) | −1.38088e6 | + | 1.38088e6i | −0.615648 | + | 0.615648i | −0.944412 | − | 0.328764i | \(-0.893368\pi\) |
0.328764 | + | 0.944412i | \(0.393368\pi\) | |||||||
\(348\) | −2.00796e6 | + | 1.02261e6i | −0.888807 | + | 0.452649i | ||||
\(349\) | 3.30618e6i | 1.45299i | 0.687172 | + | 0.726495i | \(0.258852\pi\) | ||||
−0.687172 | + | 0.726495i | \(0.741148\pi\) | |||||||
\(350\) | 895123. | − | 5.00944e6i | 0.390582 | − | 2.18584i | ||||
\(351\) | 139985. | − | 101579.i | 0.0606475 | − | 0.0440084i | ||||
\(352\) | 965457. | + | 965457.i | 0.415314 | + | 0.415314i | ||||
\(353\) | 2.37220e6 | + | 2.37220e6i | 1.01325 | + | 1.01325i | 0.999911 | + | 0.0133341i | \(0.00424449\pi\) |
0.0133341 | + | 0.999911i | \(0.495756\pi\) | |||||||
\(354\) | 731722. | + | 237910.i | 0.310340 | + | 0.100903i | ||||
\(355\) | −321936. | − | 384561.i | −0.135581 | − | 0.161955i | ||||
\(356\) | − | 2.28178e6i | − | 0.954222i | ||||||
\(357\) | −972117. | − | 1.90881e6i | −0.403690 | − | 0.792671i | ||||
\(358\) | −2.36586e6 | + | 2.36586e6i | −0.975621 | + | 0.975621i | ||||
\(359\) | 4.10333e6 | 1.68035 | 0.840177 | − | 0.542312i | \(-0.182451\pi\) | ||||
0.840177 | + | 0.542312i | \(0.182451\pi\) | |||||||
\(360\) | −243653. | + | 279422.i | −0.0990867 | + | 0.113633i | ||||
\(361\) | 1.82457e6 | 0.736872 | ||||||||
\(362\) | −1.33356e6 | + | 1.33356e6i | −0.534861 | + | 0.534861i | ||||
\(363\) | −948409. | − | 1.86226e6i | −0.377772 | − | 0.741779i | ||||
\(364\) | 320108.i | 0.126632i | ||||||||
\(365\) | −288896. | + | 3.25915e6i | −0.113504 | + | 1.28048i | ||||
\(366\) | −2.36055e6 | − | 767501.i | −0.921106 | − | 0.299486i | ||||
\(367\) | −2.22211e6 | − | 2.22211e6i | −0.861192 | − | 0.861192i | 0.130285 | − | 0.991477i | \(-0.458411\pi\) |
−0.991477 | + | 0.130285i | \(0.958411\pi\) | |||||||
\(368\) | 123921. | + | 123921.i | 0.0477009 | + | 0.0477009i | ||||
\(369\) | 2.83473e6 | + | 2.06126e6i | 1.08379 | + | 0.788073i | ||||
\(370\) | −3.15924e6 | + | 2.64476e6i | −1.19971 | + | 1.00434i | ||||
\(371\) | − | 163490.i | − | 0.0616675i | ||||||
\(372\) | 2.54626e6 | − | 1.29675e6i | 0.953994 | − | 0.485848i | ||||
\(373\) | 2.77675e6 | − | 2.77675e6i | 1.03339 | − | 1.03339i | 0.0339689 | − | 0.999423i | \(-0.489185\pi\) |
0.999423 | − | 0.0339689i | \(-0.0108147\pi\) | |||||||
\(374\) | −933317. | −0.345025 | ||||||||
\(375\) | −1.49143e6 | + | 2.27846e6i | −0.547679 | + | 0.836689i | ||||
\(376\) | 174755. | 0.0637469 | ||||||||
\(377\) | 132113. | − | 132113.i | 0.0478731 | − | 0.0478731i | ||||
\(378\) | 6.09190e6 | + | 968549.i | 2.19292 | + | 0.348652i | ||||
\(379\) | 2.10010e6i | 0.751005i | 0.926821 | + | 0.375502i | \(0.122530\pi\) | ||||
−0.926821 | + | 0.375502i | \(0.877470\pi\) | |||||||
\(380\) | −1.22225e6 | + | 1.02321e6i | −0.434210 | + | 0.363500i | ||||
\(381\) | 959910. | − | 2.95232e6i | 0.338780 | − | 1.04196i | ||||
\(382\) | −2.46194e6 | − | 2.46194e6i | −0.863216 | − | 0.863216i | ||||
\(383\) | −2.06770e6 | − | 2.06770e6i | −0.720261 | − | 0.720261i | 0.248397 | − | 0.968658i | \(-0.420096\pi\) |
−0.968658 | + | 0.248397i | \(0.920096\pi\) | |||||||
\(384\) | 267952. | − | 824119.i | 0.0927317 | − | 0.285208i | ||||
\(385\) | −160920. | + | 1.81540e6i | −0.0553296 | + | 0.624194i | ||||
\(386\) | 6.39474e6i | 2.18451i | ||||||||
\(387\) | 810197. | + | 5.12844e6i | 0.274988 | + | 1.74064i | ||||
\(388\) | −543897. | + | 543897.i | −0.183416 | + | 0.183416i | ||||
\(389\) | −3.49610e6 | −1.17141 | −0.585707 | − | 0.810523i | \(-0.699183\pi\) | ||||
−0.585707 | + | 0.810523i | \(0.699183\pi\) | |||||||
\(390\) | 127966. | − | 300349.i | 0.0426024 | − | 0.0999919i | ||||
\(391\) | −133862. | −0.0442807 | ||||||||
\(392\) | −435738. | + | 435738.i | −0.143222 | + | 0.143222i | ||||
\(393\) | 1.35134e6 | − | 688209.i | 0.441351 | − | 0.224770i | ||||
\(394\) | 632081.i | 0.205131i | ||||||||
\(395\) | −1.62679e6 | − | 1.94325e6i | −0.524613 | − | 0.626664i | ||||
\(396\) | 829335. | − | 1.14054e6i | 0.265761 | − | 0.365487i | ||||
\(397\) | −1.81474e6 | − | 1.81474e6i | −0.577879 | − | 0.577879i | 0.356439 | − | 0.934319i | \(-0.383991\pi\) |
−0.934319 | + | 0.356439i | \(0.883991\pi\) | |||||||
\(398\) | −4.96944e6 | − | 4.96944e6i | −1.57253 | − | 1.57253i | ||||
\(399\) | 2.37477e6 | + | 772127.i | 0.746775 | + | 0.242804i | ||||
\(400\) | 498295. | − | 2.78865e6i | 0.155717 | − | 0.871452i | ||||
\(401\) | − | 209439.i | − | 0.0650425i | −0.999471 | − | 0.0325212i | \(-0.989646\pi\) | ||
0.999471 | − | 0.0325212i | \(-0.0103537\pi\) | |||||||
\(402\) | 614117. | + | 1.20586e6i | 0.189533 | + | 0.372161i | ||||
\(403\) | −167530. | + | 167530.i | −0.0513842 | + | 0.0513842i | ||||
\(404\) | −452363. | −0.137890 | ||||||||
\(405\) | −2.79597e6 | − | 1.75463e6i | −0.847023 | − | 0.531556i | ||||
\(406\) | 6.66340e6 | 2.00623 | ||||||||
\(407\) | 1.04341e6 | − | 1.04341e6i | 0.312225 | − | 0.312225i | ||||
\(408\) | 133683. | + | 262495.i | 0.0397581 | + | 0.0780677i | ||||
\(409\) | − | 3.63117e6i | − | 1.07334i | −0.843791 | − | 0.536672i | \(-0.819681\pi\) | ||
0.843791 | − | 0.536672i | \(-0.180319\pi\) | |||||||
\(410\) | 6.59006e6 | + | 584153.i | 1.93611 | + | 0.171620i | ||||
\(411\) | −2.48410e6 | − | 807672.i | −0.725377 | − | 0.235847i | ||||
\(412\) | −2.76620e6 | − | 2.76620e6i | −0.802863 | − | 0.802863i | ||||
\(413\) | −844170. | − | 844170.i | −0.243531 | − | 0.243531i | ||||
\(414\) | 226696. | − | 311763.i | 0.0650046 | − | 0.0893971i | ||||
\(415\) | −3.72541e6 | − | 330226.i | −1.06183 | − | 0.0941219i | ||||
\(416\) | 379492.i | 0.107515i | ||||||||
\(417\) | 302128. | − | 153867.i | 0.0850845 | − | 0.0433316i | ||||
\(418\) | 769340. | − | 769340.i | 0.215366 | − | 0.215366i | ||||
\(419\) | −197133. | −0.0548560 | −0.0274280 | − | 0.999624i | \(-0.508732\pi\) | ||||
−0.0274280 | + | 0.999624i | \(0.508732\pi\) | |||||||
\(420\) | 5.66758e6 | − | 2.28101e6i | 1.56774 | − | 0.630964i | ||||
\(421\) | −3.16076e6 | −0.869133 | −0.434566 | − | 0.900640i | \(-0.643098\pi\) | ||||
−0.434566 | + | 0.900640i | \(0.643098\pi\) | |||||||
\(422\) | 1.83478e6 | − | 1.83478e6i | 0.501537 | − | 0.501537i | ||||
\(423\) | 242804. | + | 1.53692e6i | 0.0659790 | + | 0.417638i | ||||
\(424\) | 22482.7i | 0.00607343i | ||||||||
\(425\) | 1.23704e6 | + | 1.77530e6i | 0.332208 | + | 0.476760i | ||||
\(426\) | 354821. | − | 1.09130e6i | 0.0947296 | − | 0.291353i | ||||
\(427\) | 2.72331e6 | + | 2.72331e6i | 0.722814 | + | 0.722814i | ||||
\(428\) | 4.05295e6 | + | 4.05295e6i | 1.06945 | + | 1.06945i | ||||
\(429\) | −36153.5 | + | 111194.i | −0.00948433 | + | 0.0291702i | ||||
\(430\) | 6.29106e6 | + | 7.51484e6i | 1.64079 | + | 1.95997i | ||||
\(431\) | − | 75464.2i | − | 0.0195681i | −0.999952 | − | 0.00978404i | \(-0.996886\pi\) | ||
0.999952 | − | 0.00978404i | \(-0.00311440\pi\) | |||||||
\(432\) | 3.39123e6 | + | 539170.i | 0.874274 | + | 0.139000i | ||||
\(433\) | 2.05905e6 | − | 2.05905e6i | 0.527772 | − | 0.527772i | −0.392135 | − | 0.919908i | \(-0.628263\pi\) |
0.919908 | + | 0.392135i | \(0.128263\pi\) | |||||||
\(434\) | −8.44975e6 | −2.15337 | ||||||||
\(435\) | −3.28049e6 | − | 1.39768e6i | −0.831219 | − | 0.354147i | ||||
\(436\) | −3.08053e6 | −0.776085 | ||||||||
\(437\) | 110343. | − | 110343.i | 0.0276403 | − | 0.0276403i | ||||
\(438\) | −6.67112e6 | + | 3.39745e6i | −1.66155 | + | 0.846190i | ||||
\(439\) | 337512.i | 0.0835850i | 0.999126 | + | 0.0417925i | \(0.0133068\pi\) | ||||
−0.999126 | + | 0.0417925i | \(0.986693\pi\) | |||||||
\(440\) | 22129.3 | − | 249649.i | 0.00544924 | − | 0.0614749i | ||||
\(441\) | −4.43762e6 | − | 3.22679e6i | −1.08656 | − | 0.790085i | ||||
\(442\) | −183429. | − | 183429.i | −0.0446594 | − | 0.0446594i | ||||
\(443\) | 4.86518e6 | + | 4.86518e6i | 1.17785 | + | 1.17785i | 0.980291 | + | 0.197559i | \(0.0633014\pi\) |
0.197559 | + | 0.980291i | \(0.436699\pi\) | |||||||
\(444\) | −4.70406e6 | − | 1.52946e6i | −1.13244 | − | 0.368198i | ||||
\(445\) | 2.76869e6 | − | 2.31781e6i | 0.662787 | − | 0.554853i | ||||
\(446\) | 1.30565e6i | 0.310806i | ||||||||
\(447\) | −169763. | − | 333341.i | −0.0401860 | − | 0.0789078i | ||||
\(448\) | −5.49949e6 | + | 5.49949e6i | −1.29458 | + | 1.29458i | ||||
\(449\) | −2.48941e6 | −0.582747 | −0.291374 | − | 0.956609i | \(-0.594112\pi\) | ||||
−0.291374 | + | 0.956609i | \(0.594112\pi\) | |||||||
\(450\) | −6.22960e6 | − | 125449.i | −1.45020 | − | 0.0292037i | ||||
\(451\) | −2.36944e6 | −0.548535 | ||||||||
\(452\) | 6.02337e6 | − | 6.02337e6i | 1.38674 | − | 1.38674i | ||||
\(453\) | 2.54597e6 | + | 4.99918e6i | 0.582919 | + | 1.14460i | ||||
\(454\) | 6.88024e6i | 1.56662i | ||||||||
\(455\) | −388415. | + | 325162.i | −0.0879564 | + | 0.0736328i | ||||
\(456\) | −326573. | − | 106181.i | −0.0735475 | − | 0.0239130i | ||||
\(457\) | 1.59204e6 | + | 1.59204e6i | 0.356586 | + | 0.356586i | 0.862553 | − | 0.505967i | \(-0.168864\pi\) |
−0.505967 | + | 0.862553i | \(0.668864\pi\) | |||||||
\(458\) | −391667. | − | 391667.i | −0.0872476 | − | 0.0872476i | ||||
\(459\) | −2.12284e6 | + | 1.54042e6i | −0.470311 | + | 0.341277i | ||||
\(460\) | 33709.5 | − | 380290.i | 0.00742775 | − | 0.0837953i | ||||
\(461\) | − | 5.78760e6i | − | 1.26837i | −0.773181 | − | 0.634185i | \(-0.781336\pi\) | ||
0.773181 | − | 0.634185i | \(-0.218664\pi\) | |||||||
\(462\) | −3.71591e6 | + | 1.89243e6i | −0.809955 | + | 0.412492i | ||||
\(463\) | 1.53846e6 | − | 1.53846e6i | 0.333530 | − | 0.333530i | −0.520395 | − | 0.853925i | \(-0.674215\pi\) |
0.853925 | + | 0.520395i | \(0.174215\pi\) | |||||||
\(464\) | 3.70937e6 | 0.799844 | ||||||||
\(465\) | 4.15993e6 | + | 1.77237e6i | 0.892182 | + | 0.380122i | ||||
\(466\) | 5.10947e6 | 1.08996 | ||||||||
\(467\) | 212015. | − | 212015.i | 0.0449858 | − | 0.0449858i | −0.684256 | − | 0.729242i | \(-0.739873\pi\) |
0.729242 | + | 0.684256i | \(0.239873\pi\) | |||||||
\(468\) | 387148. | − | 61162.1i | 0.0817076 | − | 0.0129083i | ||||
\(469\) | − | 2.09966e6i | − | 0.440776i | ||||||
\(470\) | 1.88534e6 | + | 2.25209e6i | 0.393681 | + | 0.470263i | ||||
\(471\) | −2.11378e6 | + | 6.50119e6i | −0.439043 | + | 1.35033i | ||||
\(472\) | 116088. | + | 116088.i | 0.0239846 | + | 0.0239846i | ||||
\(473\) | −2.48194e6 | − | 2.48194e6i | −0.510080 | − | 0.510080i | ||||
\(474\) | 1.79297e6 | − | 5.51450e6i | 0.366544 | − | 1.12735i | ||||
\(475\) | −2.48309e6 | − | 443697.i | −0.504962 | − | 0.0902303i | ||||
\(476\) | − | 4.85436e6i | − | 0.982007i | ||||||
\(477\) | −197730. | + | 31237.5i | −0.0397902 | + | 0.00628609i | ||||
\(478\) | 8.46342e6 | − | 8.46342e6i | 1.69424 | − | 1.69424i | ||||
\(479\) | 8.47895e6 | 1.68851 | 0.844254 | − | 0.535943i | \(-0.180044\pi\) | ||||
0.844254 | + | 0.535943i | \(0.180044\pi\) | |||||||
\(480\) | 6.71897e6 | − | 2.70417e6i | 1.33107 | − | 0.535711i | ||||
\(481\) | 410131. | 0.0808277 | ||||||||
\(482\) | −1.45176e6 | + | 1.45176e6i | −0.284628 | + | 0.284628i | ||||
\(483\) | −532958. | + | 271424.i | −0.103950 | + | 0.0529395i | ||||
\(484\) | − | 4.73598e6i | − | 0.918959i | ||||||
\(485\) | −1.21244e6 | − | 107473.i | −0.234049 | − | 0.0207465i | ||||
\(486\) | 7429.91 | − | 7.55279e6i | 0.00142690 | − | 1.45050i | ||||
\(487\) | −1.08517e6 | − | 1.08517e6i | −0.207336 | − | 0.207336i | 0.595798 | − | 0.803134i | \(-0.296836\pi\) |
−0.803134 | + | 0.595798i | \(0.796836\pi\) | |||||||
\(488\) | −374502. | − | 374502.i | −0.0711877 | − | 0.0711877i | ||||
\(489\) | −3.15705e6 | − | 1.02648e6i | −0.597048 | − | 0.194123i | ||||
\(490\) | −1.03164e7 | − | 914461.i | −1.94105 | − | 0.172058i | ||||
\(491\) | 7.95104e6i | 1.48840i | 0.667956 | + | 0.744201i | \(0.267170\pi\) | ||||
−0.667956 | + | 0.744201i | \(0.732830\pi\) | |||||||
\(492\) | 3.60454e6 | + | 7.07776e6i | 0.671332 | + | 1.31820i | ||||
\(493\) | −2.00346e6 | + | 2.00346e6i | −0.371247 | + | 0.371247i | ||||
\(494\) | 302404. | 0.0557532 | ||||||||
\(495\) | 2.22634e6 | − | 152242.i | 0.408394 | − | 0.0279267i | ||||
\(496\) | −4.70379e6 | −0.858506 | ||||||||
\(497\) | −1.25900e6 | + | 1.25900e6i | −0.228631 | + | 0.228631i | ||||
\(498\) | −3.88349e6 | − | 7.62548e6i | −0.701695 | − | 1.37782i | ||||
\(499\) | 5.32202e6i | 0.956809i | 0.878140 | + | 0.478405i | \(0.158785\pi\) | ||||
−0.878140 | + | 0.478405i | \(0.841215\pi\) | |||||||
\(500\) | −5.35499e6 | + | 3.06725e6i | −0.957930 | + | 0.548686i | ||||
\(501\) | 7.62625e6 | + | 2.47958e6i | 1.35743 | + | 0.441350i | ||||
\(502\) | −9.28663e6 | − | 9.28663e6i | −1.64475 | − | 1.64475i | ||||
\(503\) | −6.37826e6 | − | 6.37826e6i | −1.12404 | − | 1.12404i | −0.991128 | − | 0.132913i | \(-0.957567\pi\) |
−0.132913 | − | 0.991128i | \(-0.542433\pi\) | |||||||
\(504\) | 1.06449e6 | + | 774039.i | 0.186667 | + | 0.135733i | ||||
\(505\) | −459506. | − | 548891.i | −0.0801793 | − | 0.0957763i | ||||
\(506\) | 260590.i | 0.0452462i | ||||||||
\(507\) | 5.12860e6 | − | 2.61188e6i | 0.886092 | − | 0.451267i | ||||
\(508\) | 4.97466e6 | − | 4.97466e6i | 0.855271 | − | 0.855271i | ||||
\(509\) | −5.79647e6 | −0.991675 | −0.495838 | − | 0.868415i | \(-0.665139\pi\) | ||||
−0.495838 | + | 0.868415i | \(0.665139\pi\) | |||||||
\(510\) | −1.94058e6 | + | 4.55472e6i | −0.330374 | + | 0.775419i | ||||
\(511\) | 1.16159e7 | 1.96788 | ||||||||
\(512\) | −5.88735e6 | + | 5.88735e6i | −0.992533 | + | 0.992533i | ||||
\(513\) | 480093. | − | 3.01965e6i | 0.0805437 | − | 0.506597i | ||||
\(514\) | 1.25025e7i | 2.08732i | ||||||||
\(515\) | 546596. | − | 6.16636e6i | 0.0908131 | − | 1.02450i | ||||
\(516\) | −3.63812e6 | + | 1.11895e7i | −0.601523 | + | 1.85006i | ||||
\(517\) | −743801. | − | 743801.i | −0.122386 | − | 0.122386i | ||||
\(518\) | 1.03429e7 | + | 1.03429e7i | 1.69363 | + | 1.69363i | ||||
\(519\) | −549447. | + | 1.68989e6i | −0.0895381 | + | 0.275386i | ||||
\(520\) | 53413.8 | − | 44715.5i | 0.00866254 | − | 0.00725187i | ||||
\(521\) | − | 4.91868e6i | − | 0.793880i | −0.917845 | − | 0.396940i | \(-0.870072\pi\) | ||
0.917845 | − | 0.396940i | \(-0.129928\pi\) | |||||||
\(522\) | −1.27316e6 | − | 8.05892e6i | −0.204506 | − | 1.29450i | ||||
\(523\) | −5.31998e6 | + | 5.31998e6i | −0.850463 | + | 0.850463i | −0.990190 | − | 0.139727i | \(-0.955378\pi\) |
0.139727 | + | 0.990190i | \(0.455378\pi\) | |||||||
\(524\) | 3.43664e6 | 0.546772 | ||||||||
\(525\) | 8.52482e6 | + | 4.55993e6i | 1.34985 | + | 0.722038i | ||||
\(526\) | −742972. | −0.117087 | ||||||||
\(527\) | 2.54055e6 | − | 2.54055e6i | 0.398475 | − | 0.398475i | ||||
\(528\) | −2.06857e6 | + | 1.05347e6i | −0.322912 | + | 0.164452i | ||||
\(529\) | − | 6.39897e6i | − | 0.994193i | ||||||
\(530\) | −289738. | + | 242555.i | −0.0448039 | + | 0.0375077i | ||||
\(531\) | −859671. | + | 1.18226e6i | −0.132311 | + | 0.181960i | ||||
\(532\) | 4.00149e6 | + | 4.00149e6i | 0.612974 | + | 0.612974i | ||||
\(533\) | −465677. | − | 465677.i | −0.0710014 | − | 0.0710014i | ||||
\(534\) | 7.85691e6 | + | 2.55458e6i | 1.19234 | + | 0.387673i | ||||
\(535\) | −800854. | + | 9.03474e6i | −0.120968 | + | 1.36468i | ||||
\(536\) | 288740.i | 0.0434106i | ||||||||
\(537\) | −2.88466e6 | − | 5.66421e6i | −0.431676 | − | 0.847625i | ||||
\(538\) | 52178.4 | − | 52178.4i | 0.00777204 | − | 0.00777204i | ||||
\(539\) | 3.70923e6 | 0.549936 | ||||||||
\(540\) | −3.84161e6 | − | 6.41871e6i | −0.566930 | − | 0.947247i | ||||
\(541\) | −399832. | −0.0587334 | −0.0293667 | − | 0.999569i | \(-0.509349\pi\) | ||||
−0.0293667 | + | 0.999569i | \(0.509349\pi\) | |||||||
\(542\) | −9.59679e6 | + | 9.59679e6i | −1.40323 | + | 1.40323i | ||||
\(543\) | −1.62599e6 | − | 3.19273e6i | −0.236656 | − | 0.464690i | ||||
\(544\) | − | 5.75490e6i | − | 0.833759i | ||||||
\(545\) | −3.12917e6 | − | 3.73788e6i | −0.451272 | − | 0.539056i | ||||
\(546\) | −1.10223e6 | − | 358377.i | −0.158231 | − | 0.0514469i | ||||
\(547\) | 482360. | + | 482360.i | 0.0689291 | + | 0.0689291i | 0.740731 | − | 0.671802i | \(-0.234479\pi\) |
−0.671802 | + | 0.740731i | \(0.734479\pi\) | |||||||
\(548\) | −4.18570e6 | − | 4.18570e6i | −0.595410 | − | 0.595410i | ||||
\(549\) | 2.77331e6 | − | 3.81398e6i | 0.392706 | − | 0.540067i | ||||
\(550\) | 3.45600e6 | − | 2.40815e6i | 0.487155 | − | 0.339451i | ||||
\(551\) | − | 3.30293e6i | − | 0.463469i | ||||||
\(552\) | 73291.0 | − | 37325.5i | 0.0102377 | − | 0.00521384i | ||||
\(553\) | −6.36194e6 | + | 6.36194e6i | −0.884661 | + | 0.884661i | ||||
\(554\) | 8.43086e6 | 1.16707 | ||||||||
\(555\) | −2.92250e6 | − | 7.26146e6i | −0.402737 | − | 1.00067i | ||||
\(556\) | 768350. | 0.105408 | ||||||||
\(557\) | −4.37833e6 | + | 4.37833e6i | −0.597958 | + | 0.597958i | −0.939769 | − | 0.341811i | \(-0.888960\pi\) |
0.341811 | + | 0.939769i | \(0.388960\pi\) | |||||||
\(558\) | 1.61447e6 | + | 1.02194e7i | 0.219505 | + | 1.38944i | ||||
\(559\) | − | 975574.i | − | 0.132048i | ||||||
\(560\) | −1.00177e7 | − | 887981.i | −1.34988 | − | 0.119656i | ||||
\(561\) | 548259. | − | 1.68624e6i | 0.0735493 | − | 0.226210i | ||||
\(562\) | 1.33048e7 | + | 1.33048e7i | 1.77691 | + | 1.77691i | ||||
\(563\) | 2.52905e6 | + | 2.52905e6i | 0.336269 | + | 0.336269i | 0.854961 | − | 0.518692i | \(-0.173581\pi\) |
−0.518692 | + | 0.854961i | \(0.673581\pi\) | |||||||
\(564\) | −1.09029e6 | + | 3.35333e6i | −0.144326 | + | 0.443893i | ||||
\(565\) | 1.34272e7 | + | 1.19020e6i | 1.76955 | + | 0.156856i | ||||
\(566\) | − | 6.53024e6i | − | 0.856817i | ||||||
\(567\) | −5.32846e6 | + | 1.04374e7i | −0.696056 | + | 1.36343i | ||||
\(568\) | 173135. | − | 173135.i | 0.0225172 | − | 0.0225172i | ||||
\(569\) | 2.05551e6 | 0.266157 | 0.133079 | − | 0.991105i | \(-0.457514\pi\) | ||||
0.133079 | + | 0.991105i | \(0.457514\pi\) | |||||||
\(570\) | −2.15486e6 | − | 5.35412e6i | −0.277800 | − | 0.690242i | ||||
\(571\) | −3.77699e6 | −0.484792 | −0.242396 | − | 0.970177i | \(-0.577933\pi\) | ||||
−0.242396 | + | 0.970177i | \(0.577933\pi\) | |||||||
\(572\) | −187362. | + | 187362.i | −0.0239438 | + | 0.0239438i | ||||
\(573\) | 5.89425e6 | − | 3.00181e6i | 0.749967 | − | 0.381941i | ||||
\(574\) | − | 2.34875e7i | − | 2.97548i | ||||||
\(575\) | 495680. | − | 345391.i | 0.0625219 | − | 0.0435654i | ||||
\(576\) | 7.70202e6 | + | 5.60048e6i | 0.967272 | + | 0.703346i | ||||
\(577\) | −4.37044e6 | − | 4.37044e6i | −0.546494 | − | 0.546494i | 0.378931 | − | 0.925425i | \(-0.376292\pi\) |
−0.925425 | + | 0.378931i | \(0.876292\pi\) | |||||||
\(578\) | −5.45633e6 | − | 5.45633e6i | −0.679331 | − | 0.679331i | ||||
\(579\) | −1.15535e7 | − | 3.75646e6i | −1.43224 | − | 0.465675i | ||||
\(580\) | −5.18713e6 | − | 6.19617e6i | −0.640262 | − | 0.764810i | ||||
\(581\) | 1.32776e7i | 1.63185i | ||||||||
\(582\) | −1.26389e6 | − | 2.48173e6i | −0.154668 | − | 0.303702i | ||||
\(583\) | 95692.3 | − | 95692.3i | 0.0116602 | − | 0.0116602i | ||||
\(584\) | −1.59739e6 | −0.193811 | ||||||||
\(585\) | 467474. | + | 407633.i | 0.0564765 | + | 0.0492470i | ||||
\(586\) | −1.34334e7 | −1.61600 | ||||||||
\(587\) | −9213.49 | + | 9213.49i | −0.00110364 | + | 0.00110364i | −0.707658 | − | 0.706555i | \(-0.750248\pi\) |
0.706555 | + | 0.707658i | \(0.250248\pi\) | |||||||
\(588\) | −5.64272e6 | − | 1.10798e7i | −0.673046 | − | 1.32157i | ||||
\(589\) | 4.18839e6i | 0.497461i | ||||||||
\(590\) | −243628. | + | 2.74846e6i | −0.0288136 | + | 0.325057i | ||||
\(591\) | −1.14199e6 | − | 371304.i | −0.134491 | − | 0.0437281i | ||||
\(592\) | 5.75769e6 | + | 5.75769e6i | 0.675218 | + | 0.675218i | ||||
\(593\) | 8.46827e6 | + | 8.46827e6i | 0.988913 | + | 0.988913i | 0.999939 | − | 0.0110261i | \(-0.00350978\pi\) |
−0.0110261 | + | 0.999939i | \(0.503510\pi\) | |||||||
\(594\) | 2.99875e6 | + | 4.13256e6i | 0.348718 | + | 0.480566i | ||||
\(595\) | 5.89022e6 | − | 4.93101e6i | 0.682086 | − | 0.571010i | ||||
\(596\) | − | 847729.i | − | 0.0977556i | ||||||
\(597\) | 1.18976e7 | − | 6.05916e6i | 1.36622 | − | 0.695787i | ||||
\(598\) | −51215.0 | + | 51215.0i | −0.00585659 | + | 0.00585659i | ||||
\(599\) | 73180.9 | 0.00833356 | 0.00416678 | − | 0.999991i | \(-0.498674\pi\) | ||||
0.00416678 | + | 0.999991i | \(0.498674\pi\) | |||||||
\(600\) | −1.17231e6 | − | 627071.i | −0.132943 | − | 0.0711113i | ||||
\(601\) | 1.00986e6 | 0.114045 | 0.0570223 | − | 0.998373i | \(-0.481839\pi\) | ||||
0.0570223 | + | 0.998373i | \(0.481839\pi\) | |||||||
\(602\) | 2.46026e7 | − | 2.46026e7i | 2.76688 | − | 2.76688i | ||||
\(603\) | −2.53940e6 | + | 401176.i | −0.284405 | + | 0.0449306i | ||||
\(604\) | 1.27136e7i | 1.41800i | ||||||||
\(605\) | 5.74657e6 | − | 4.81076e6i | 0.638294 | − | 0.534349i | ||||
\(606\) | 506444. | − | 1.55763e6i | 0.0560208 | − | 0.172299i | ||||
\(607\) | −7.94420e6 | − | 7.94420e6i | −0.875142 | − | 0.875142i | 0.117885 | − | 0.993027i | \(-0.462389\pi\) |
−0.993027 | + | 0.117885i | \(0.962389\pi\) | |||||||
\(608\) | 4.74381e6 | + | 4.74381e6i | 0.520437 | + | 0.520437i | ||||
\(609\) | −3.91429e6 | + | 1.20389e7i | −0.427671 | + | 1.31535i | ||||
\(610\) | 785948. | − | 8.86658e6i | 0.0855203 | − | 0.964787i | ||||
\(611\) | − | 292365.i | − | 0.0316828i | ||||||
\(612\) | −5.87101e6 | + | 927509.i | −0.633628 | + | 0.100101i | ||||
\(613\) | −6.97272e6 | + | 6.97272e6i | −0.749465 | + | 0.749465i | −0.974379 | − | 0.224914i | \(-0.927790\pi\) |
0.224914 | + | 0.974379i | \(0.427790\pi\) | |||||||
\(614\) | −7.50027e6 | −0.802890 | ||||||||
\(615\) | −4.92660e6 | + | 1.15632e7i | −0.525242 | + | 1.23280i | ||||
\(616\) | −889768. | −0.0944768 | ||||||||
\(617\) | −6.05476e6 | + | 6.05476e6i | −0.640301 | + | 0.640301i | −0.950629 | − | 0.310329i | \(-0.899561\pi\) |
0.310329 | + | 0.950629i | \(0.399561\pi\) | |||||||
\(618\) | 1.26218e7 | − | 6.42802e6i | 1.32939 | − | 0.677027i | ||||
\(619\) | − | 1.16405e7i | − | 1.22108i | −0.791986 | − | 0.610539i | \(-0.790953\pi\) | ||
0.791986 | − | 0.610539i | \(-0.209047\pi\) | |||||||
\(620\) | 6.57772e6 | + | 7.85725e6i | 0.687220 | + | 0.820903i | ||||
\(621\) | 430098. | + | 592715.i | 0.0447547 | + | 0.0616761i | ||||
\(622\) | 1.02368e7 | + | 1.02368e7i | 1.06093 | + | 1.06093i | ||||
\(623\) | −9.06434e6 | − | 9.06434e6i | −0.935655 | − | 0.935655i | ||||
\(624\) | −613589. | − | 199501.i | −0.0630836 | − | 0.0205108i | ||||
\(625\) | −9.16130e6 | − | 3.38200e6i | −0.938118 | − | 0.346317i | ||||
\(626\) | − | 6.52427e6i | − | 0.665420i | ||||||
\(627\) | 938045. | + | 1.84191e6i | 0.0952916 | + | 0.187111i | ||||
\(628\) | −1.09545e7 | + | 1.09545e7i | −1.10839 | + | 1.10839i | ||||
\(629\) | −6.21954e6 | −0.626804 | ||||||||
\(630\) | 1.50912e6 | + | 2.20690e7i | 0.151486 | + | 2.21529i | ||||
\(631\) | −8.66671e6 | −0.866524 | −0.433262 | − | 0.901268i | \(-0.642638\pi\) | ||||
−0.433262 | + | 0.901268i | \(0.642638\pi\) | |||||||
\(632\) | 874879. | − | 874879.i | 0.0871275 | − | 0.0871275i | ||||
\(633\) | 2.23712e6 | + | 4.39274e6i | 0.221912 | + | 0.435738i | ||||
\(634\) | 2.05268e7i | 2.02814i | ||||||||
\(635\) | 1.10894e7 | + | 982981.i | 1.09137 | + | 0.0967410i | ||||
\(636\) | −431416. | − | 140269.i | −0.0422915 | − | 0.0137505i | ||||
\(637\) | 728992. | + | 728992.i | 0.0711827 | + | 0.0711827i | ||||
\(638\) | 3.90016e6 | + | 3.90016e6i | 0.379342 | + | 0.379342i | ||||
\(639\) | 1.76323e6 | + | 1.28212e6i | 0.170827 | + | 0.124216i | ||||
\(640\) | 3.09552e6 | + | 274392.i | 0.298733 | + | 0.0264802i | ||||
\(641\) | 1.07773e7i | 1.03601i | 0.855377 | + | 0.518006i | \(0.173326\pi\) | ||||
−0.855377 | + | 0.518006i | \(0.826674\pi\) | |||||||
\(642\) | −1.84931e7 | + | 9.41812e6i | −1.77081 | + | 0.901834i | ||||
\(643\) | 1.37197e7 | − | 1.37197e7i | 1.30864 | − | 1.30864i | 0.386234 | − | 0.922401i | \(-0.373776\pi\) |
0.922401 | − | 0.386234i | \(-0.126224\pi\) | |||||||
\(644\) | −1.35538e6 | −0.128779 | ||||||||
\(645\) | −1.72727e7 | + | 6.95171e6i | −1.63479 | + | 0.657949i | ||||
\(646\) | −4.58589e6 | −0.432356 | ||||||||
\(647\) | 724759. | − | 724759.i | 0.0680664 | − | 0.0680664i | −0.672254 | − | 0.740321i | \(-0.734674\pi\) |
0.740321 | + | 0.672254i | \(0.234674\pi\) | |||||||
\(648\) | 732757. | − | 1.43532e6i | 0.0685524 | − | 0.134280i | ||||
\(649\) | − | 988203.i | − | 0.0920946i | ||||||
\(650\) | 1.15251e6 | + | 205939.i | 0.106994 | + | 0.0191185i | ||||
\(651\) | 4.96364e6 | − | 1.52663e7i | 0.459037 | − | 1.41183i | ||||
\(652\) | −5.31963e6 | − | 5.31963e6i | −0.490074 | − | 0.490074i | ||||
\(653\) | −1.39175e7 | − | 1.39175e7i | −1.27726 | − | 1.27726i | −0.942197 | − | 0.335060i | \(-0.891243\pi\) |
−0.335060 | − | 0.942197i | \(-0.608757\pi\) | |||||||
\(654\) | 3.44881e6 | − | 1.06073e7i | 0.315301 | − | 0.969748i | ||||
\(655\) | 3.49091e6 | + | 4.16998e6i | 0.317932 | + | 0.379779i | ||||
\(656\) | − | 1.30750e7i | − | 1.18626i | ||||||
\(657\) | −2.21941e6 | − | 1.40486e7i | −0.200597 | − | 1.26975i | ||||
\(658\) | 7.37305e6 | − | 7.37305e6i | 0.663869 | − | 0.663869i | ||||
\(659\) | 1.09373e7 | 0.981064 | 0.490532 | − | 0.871423i | \(-0.336803\pi\) | ||||
0.490532 | + | 0.871423i | \(0.336803\pi\) | |||||||
\(660\) | 4.65239e6 | + | 1.98219e6i | 0.415735 | + | 0.177127i | ||||
\(661\) | 1.75257e7 | 1.56017 | 0.780086 | − | 0.625672i | \(-0.215175\pi\) | ||||
0.780086 | + | 0.625672i | \(0.215175\pi\) | |||||||
\(662\) | −4.19521e6 | + | 4.19521e6i | −0.372057 | + | 0.372057i | ||||
\(663\) | 439156. | − | 223652.i | 0.0388003 | − | 0.0197601i | ||||
\(664\) | − | 1.82591e6i | − | 0.160716i | ||||||
\(665\) | −790685. | + | 8.92002e6i | −0.0693345 | + | 0.782189i | ||||
\(666\) | 1.05329e7 | − | 1.44853e7i | 0.920155 | − | 1.26544i | ||||
\(667\) | 559384. | + | 559384.i | 0.0486850 | + | 0.0486850i | ||||
\(668\) | 1.28502e7 | + | 1.28502e7i | 1.11422 | + | 1.11422i | ||||
\(669\) | −2.35893e6 | − | 766977.i | −0.203775 | − | 0.0662548i | ||||
\(670\) | −3.72104e6 | + | 3.11508e6i | −0.320241 | + | 0.268091i | ||||
\(671\) | 3.18796e6i | 0.273342i | ||||||||
\(672\) | −1.16689e7 | − | 2.29126e7i | −0.996795 | − | 1.95727i | ||||
\(673\) | −6.38592e6 | + | 6.38592e6i | −0.543483 | + | 0.543483i | −0.924548 | − | 0.381065i | \(-0.875557\pi\) |
0.381065 | + | 0.924548i | \(0.375557\pi\) | |||||||
\(674\) | −2.89926e7 | −2.45831 | ||||||||
\(675\) | 3.88611e6 | − | 1.11814e7i | 0.328288 | − | 0.944578i | ||||
\(676\) | 1.30427e7 | 1.09774 | ||||||||
\(677\) | 9.27369e6 | − | 9.27369e6i | 0.777644 | − | 0.777644i | −0.201785 | − | 0.979430i | \(-0.564674\pi\) |
0.979430 | + | 0.201785i | \(0.0646743\pi\) | |||||||
\(678\) | 1.39969e7 | + | 2.74839e7i | 1.16939 | + | 2.29617i | ||||
\(679\) | 4.32123e6i | 0.359694i | ||||||||
\(680\) | −810009. | + | 678100.i | −0.0671765 | + | 0.0562369i | ||||
\(681\) | −1.24306e7 | − | 4.04167e6i | −1.02713 | − | 0.333959i | ||||
\(682\) | −4.94572e6 | − | 4.94572e6i | −0.407164 | − | 0.407164i | ||||
\(683\) | 5.35197e6 | + | 5.35197e6i | 0.438997 | + | 0.438997i | 0.891674 | − | 0.452677i | \(-0.149531\pi\) |
−0.452677 | + | 0.891674i | \(0.649531\pi\) | |||||||
\(684\) | 4.07496e6 | − | 5.60407e6i | 0.333030 | − | 0.457998i | ||||
\(685\) | 827084. | − | 9.33065e6i | 0.0673478 | − | 0.759776i | ||||
\(686\) | 9.39965e6i | 0.762608i | ||||||||
\(687\) | 937709. | − | 477554.i | 0.0758012 | − | 0.0386039i | ||||
\(688\) | 1.36957e7 | − | 1.36957e7i | 1.10310 | − | 1.10310i | ||||
\(689\) | 37613.7 | 0.00301855 | ||||||||
\(690\) | 1.27172e6 | + | 541826.i | 0.101688 | + | 0.0433249i | ||||
\(691\) | 3.50149e6 | 0.278970 | 0.139485 | − | 0.990224i | \(-0.455455\pi\) | ||||
0.139485 | + | 0.990224i | \(0.455455\pi\) | |||||||
\(692\) | −2.84747e6 | + | 2.84747e6i | −0.226044 | + | 0.226044i | ||||
\(693\) | −1.23625e6 | − | 7.82527e6i | −0.0977848 | − | 0.618965i | ||||
\(694\) | − | 1.60237e7i | − | 1.26289i | ||||||
\(695\) | 780481. | + | 932305.i | 0.0612915 | + | 0.0732143i | ||||
\(696\) | 538283. | − | 1.65556e6i | 0.0421199 | − | 0.129545i | ||||
\(697\) | 7.06189e6 | + | 7.06189e6i | 0.550603 | + | 0.550603i | ||||
\(698\) | −1.91824e7 | − | 1.91824e7i | −1.49027 | − | 1.49027i | ||||
\(699\) | −3.00146e6 | + | 9.23136e6i | −0.232348 | + | 0.714616i | ||||
\(700\) | 1.25253e7 | + | 1.79753e7i | 0.966144 | + | 1.38654i | ||||
\(701\) | 6.92867e6i | 0.532543i | 0.963898 | + | 0.266271i | \(0.0857918\pi\) | ||||
−0.963898 | + | 0.266271i | \(0.914208\pi\) | |||||||
\(702\) | −222832. | + | 1.40155e6i | −0.0170661 | + | 0.107341i | ||||
\(703\) | 5.12682e6 | − | 5.12682e6i | 0.391255 | − | 0.391255i | ||||
\(704\) | −6.43782e6 | −0.489561 | ||||||||
\(705\) | −5.17639e6 | + | 2.08333e6i | −0.392242 | + | 0.157865i | ||||
\(706\) | −2.75270e7 | −2.07848 | ||||||||
\(707\) | −1.79700e6 | + | 1.79700e6i | −0.135207 | + | 0.135207i | ||||
\(708\) | −2.95186e6 | + | 1.50332e6i | −0.221316 | + | 0.112711i | ||||
\(709\) | 1.88400e7i | 1.40755i | 0.710422 | + | 0.703776i | \(0.248504\pi\) | ||||
−0.710422 | + | 0.703776i | \(0.751496\pi\) | |||||||
\(710\) | 4.09908e6 | + | 363349.i | 0.305169 | + | 0.0270507i | ||||
\(711\) | 8.90988e6 | + | 6.47877e6i | 0.660995 | + | 0.480638i | ||||
\(712\) | 1.24651e6 | + | 1.24651e6i | 0.0921497 | + | 0.0921497i | ||||
\(713\) | −709345. | − | 709345.i | −0.0522557 | − | 0.0522557i | ||||
\(714\) | 1.67151e7 | + | 5.43471e6i | 1.22706 | + | 0.398961i | ||||
\(715\) | −417664. | − | 37022.4i | −0.0305536 | − | 0.00270832i | ||||
\(716\) | − | 1.44048e7i | − | 1.05009i | ||||||
\(717\) | 1.03193e7 | + | 2.02627e7i | 0.749641 | + | 1.47197i | ||||
\(718\) | −2.38075e7 | + | 2.38075e7i | −1.72347 | + | 1.72347i | ||||
\(719\) | −2.47186e7 | −1.78321 | −0.891603 | − | 0.452818i | \(-0.850419\pi\) | ||||
−0.891603 | + | 0.452818i | \(0.850419\pi\) | |||||||
\(720\) | 840094. | + | 1.22853e7i | 0.0603944 | + | 0.883192i | ||||
\(721\) | −2.19774e7 | −1.57448 | ||||||||
\(722\) | −1.05861e7 | + | 1.05861e7i | −0.755777 | + | 0.755777i | ||||
\(723\) | −1.77011e6 | − | 3.47572e6i | −0.125937 | − | 0.247286i | ||||
\(724\) | − | 8.11954e6i | − | 0.575685i | ||||||
\(725\) | 2.24932e6 | − | 1.25880e7i | 0.158930 | − | 0.889430i | ||||
\(726\) | 1.63075e7 | + | 5.30217e6i | 1.14827 | + | 0.373347i | ||||
\(727\) | 3.10947e6 | + | 3.10947e6i | 0.218198 | + | 0.218198i | 0.807738 | − | 0.589541i | \(-0.200691\pi\) |
−0.589541 | + | 0.807738i | \(0.700691\pi\) | |||||||
\(728\) | −174870. | − | 174870.i | −0.0122289 | − | 0.0122289i | ||||
\(729\) | 1.36414e7 | + | 4.45016e6i | 0.950691 | + | 0.310139i | ||||
\(730\) | −1.72334e7 | − | 2.05857e7i | −1.19692 | − | 1.42975i | ||||
\(731\) | 1.47944e7i | 1.02401i | ||||||||
\(732\) | 9.52275e6 | − | 4.84972e6i | 0.656878 | − | 0.334533i | ||||
\(733\) | −2.33294e6 | + | 2.33294e6i | −0.160377 | + | 0.160377i | −0.782734 | − | 0.622356i | \(-0.786175\pi\) |
0.622356 | + | 0.782734i | \(0.286175\pi\) | |||||||
\(734\) | 2.57853e7 | 1.76657 | ||||||||
\(735\) | 7.71233e6 | − | 1.81016e7i | 0.526583 | − | 1.23594i | ||||
\(736\) | −1.60682e6 | −0.109338 | ||||||||
\(737\) | 1.22895e6 | − | 1.22895e6i | 0.0833426 | − | 0.0833426i | ||||
\(738\) | −2.84065e7 | + | 4.48768e6i | −1.91989 | + | 0.303306i | ||||
\(739\) | − | 1.73637e7i | − | 1.16959i | −0.811183 | − | 0.584793i | \(-0.801176\pi\) | ||
0.811183 | − | 0.584793i | \(-0.198824\pi\) | |||||||
\(740\) | 1.56622e6 | − | 1.76692e7i | 0.105142 | − | 1.18614i | ||||
\(741\) | −177641. | + | 546358.i | −0.0118850 | + | 0.0365537i | ||||
\(742\) | 948566. | + | 948566.i | 0.0632496 | + | 0.0632496i | ||||
\(743\) | 1.00487e7 | + | 1.00487e7i | 0.667784 | + | 0.667784i | 0.957203 | − | 0.289419i | \(-0.0934619\pi\) |
−0.289419 | + | 0.957203i | \(0.593462\pi\) | |||||||
\(744\) | −682587. | + | 2.09938e6i | −0.0452091 | + | 0.139046i | ||||
\(745\) | 1.02862e6 | − | 861114.i | 0.0678994 | − | 0.0568421i | ||||
\(746\) | 3.22214e7i | 2.11981i | ||||||||
\(747\) | 1.60584e7 | − | 2.53692e6i | 1.05293 | − | 0.166343i | ||||
\(748\) | 2.84131e6 | − | 2.84131e6i | 0.185680 | − | 0.185680i | ||||
\(749\) | 3.22005e7 | 2.09729 | ||||||||
\(750\) | −4.56633e6 | − | 2.18729e7i | −0.296425 | − | 1.41989i | ||||
\(751\) | 8.25367e6 | 0.534007 | 0.267004 | − | 0.963696i | \(-0.413966\pi\) | ||||
0.267004 | + | 0.963696i | \(0.413966\pi\) | |||||||
\(752\) | 4.10442e6 | − | 4.10442e6i | 0.264671 | − | 0.264671i | ||||
\(753\) | 2.22336e7 | − | 1.13231e7i | 1.42896 | − | 0.727740i | ||||
\(754\) | 1.53303e6i | 0.0982026i | ||||||||
\(755\) | −1.54265e7 | + | 1.29143e7i | −0.984917 | + | 0.824525i | ||||
\(756\) | −2.14942e7 | + | 1.55971e7i | −1.36778 | + | 0.992520i | ||||
\(757\) | 1.88926e7 | + | 1.88926e7i | 1.19826 | + | 1.19826i | 0.974687 | + | 0.223576i | \(0.0717730\pi\) |
0.223576 | + | 0.974687i | \(0.428227\pi\) | |||||||
\(758\) | −1.21848e7 | − | 1.21848e7i | −0.770272 | − | 0.770272i | ||||
\(759\) | −470813. | − | 153079.i | −0.0296650 | − | 0.00964518i | ||||
\(760\) | 108733. | − | 1.22666e6i | 0.00682853 | − | 0.0770353i | ||||
\(761\) | − | 1.13709e7i | − | 0.711757i | −0.934532 | − | 0.355878i | \(-0.884182\pi\) | ||
0.934532 | − | 0.355878i | \(-0.115818\pi\) | |||||||
\(762\) | 1.15599e7 | + | 2.26987e7i | 0.721221 | + | 1.41617i | ||||
\(763\) | −1.22373e7 | + | 1.22373e7i | −0.760984 | + | 0.760984i | ||||
\(764\) | 1.49898e7 | 0.929103 | ||||||||
\(765\) | −7.08914e6 | − | 6.18166e6i | −0.437965 | − | 0.381901i | ||||
\(766\) | 2.39935e7 | 1.47748 | ||||||||
\(767\) | 194216. | − | 194216.i | 0.0119206 | − | 0.0119206i | ||||
\(768\) | −5.64463e6 | − | 1.10836e7i | −0.345329 | − | 0.678075i | ||||
\(769\) | − | 1.69819e7i | − | 1.03555i | −0.855517 | − | 0.517774i | \(-0.826761\pi\) | ||
0.855517 | − | 0.517774i | \(-0.173239\pi\) | |||||||
\(770\) | −9.59926e6 | − | 1.14666e7i | −0.583460 | − | 0.696958i | ||||
\(771\) | −2.25884e7 | − | 7.34434e6i | −1.36852 | − | 0.444956i | ||||
\(772\) | −1.94676e7 | − | 1.94676e7i | −1.17562 | − | 1.17562i | ||||
\(773\) | 7.99621e6 | + | 7.99621e6i | 0.481321 | + | 0.481321i | 0.905554 | − | 0.424232i | \(-0.139456\pi\) |
−0.424232 | + | 0.905554i | \(0.639456\pi\) | |||||||
\(774\) | −3.44559e7 | − | 2.50544e7i | −2.06734 | − | 1.50325i | ||||
\(775\) | −2.85232e6 | + | 1.59626e7i | −0.170586 | + | 0.954663i | ||||
\(776\) | − | 594245.i | − | 0.0354251i | ||||||
\(777\) | −2.47625e7 | + | 1.26110e7i | −1.47144 | + | 0.749371i | ||||
\(778\) | 2.02843e7 | − | 2.02843e7i | 1.20147 | − | 1.20147i | ||||
\(779\) | −1.16423e7 | −0.687379 | ||||||||
\(780\) | 524787. | + | 1.30393e6i | 0.0308849 | + | 0.0767390i | ||||
\(781\) | −1.47382e6 | −0.0864601 | ||||||||
\(782\) | 776664. | − | 776664.i | 0.0454168 | − | 0.0454168i | ||||
\(783\) | 1.53081e7 | + | 2.43382e6i | 0.892311 | + | 0.141868i | ||||
\(784\) | 2.04681e7i | 1.18929i | ||||||||
\(785\) | −2.44195e7 | − | 2.16458e6i | −1.41437 | − | 0.125372i | ||||
\(786\) | −3.84750e6 | + | 1.18335e7i | −0.222138 | + | 0.683212i | ||||
\(787\) | −1.65733e7 | − | 1.65733e7i | −0.953833 | − | 0.953833i | 0.0451470 | − | 0.998980i | \(-0.485624\pi\) |
−0.998980 | + | 0.0451470i | \(0.985624\pi\) | |||||||
\(788\) | −1.92425e6 | − | 1.92425e6i | −0.110394 | − | 0.110394i | ||||
\(789\) | 436445. | − | 1.34234e6i | 0.0249596 | − | 0.0767662i | ||||
\(790\) | 2.07133e7 | + | 1.83606e6i | 1.18082 | + | 0.104669i | ||||
\(791\) | − | 4.78554e7i | − | 2.71951i | ||||||
\(792\) | 170005. | + | 1.07611e6i | 0.00963052 | + | 0.0609599i | ||||
\(793\) | −626544. | + | 626544.i | −0.0353809 | + | 0.0353809i | ||||
\(794\) | 2.10582e7 | 1.18541 | ||||||||
\(795\) | −268027. | − | 665959.i | −0.0150404 | − | 0.0373705i | ||||
\(796\) | 3.02570e7 | 1.69256 | ||||||||
\(797\) | −6.61994e6 | + | 6.61994e6i | −0.369154 | + | 0.369154i | −0.867169 | − | 0.498014i | \(-0.834063\pi\) |
0.498014 | + | 0.867169i | \(0.334063\pi\) | |||||||
\(798\) | −1.82583e7 | + | 9.29853e6i | −1.01497 | + | 0.516901i | ||||
\(799\) | 4.43365e6i | 0.245694i | ||||||||
\(800\) | 1.48489e7 | + | 2.13100e7i | 0.820291 | + | 1.17722i | ||||
\(801\) | −9.23078e6 | + | 1.26946e7i | −0.508344 | + | 0.699096i | ||||
\(802\) | 1.21516e6 | + | 1.21516e6i | 0.0667112 | + | 0.0667112i | ||||
\(803\) | 6.79889e6 | + | 6.79889e6i | 0.372091 | + | 0.372091i | ||||
\(804\) | −5.54057e6 | − | 1.80145e6i | −0.302284 | − | 0.0982837i | ||||
\(805\) | −1.37678e6 | − | 1.64460e6i | −0.0748816 | − | 0.0894481i | ||||
\(806\) | − | 1.94401e6i | − | 0.105405i | ||||||
\(807\) | 63620.3 | + | 124923.i | 0.00343884 | + | 0.00675239i | ||||
\(808\) | 247119. | − | 247119.i | 0.0133161 | − | 0.0133161i | ||||
\(809\) | 1.97653e7 | 1.06177 | 0.530887 | − | 0.847442i | \(-0.321859\pi\) | ||||
0.530887 | + | 0.847442i | \(0.321859\pi\) | |||||||
\(810\) | 2.64026e7 | − | 6.04183e6i | 1.41395 | − | 0.323561i | ||||
\(811\) | 1.15246e7 | 0.615281 | 0.307641 | − | 0.951503i | \(-0.400461\pi\) | ||||
0.307641 | + | 0.951503i | \(0.400461\pi\) | |||||||
\(812\) | −2.02855e7 | + | 2.02855e7i | −1.07968 | + | 1.07968i | ||||
\(813\) | −1.17012e7 | − | 2.29761e7i | −0.620876 | − | 1.21913i | ||||
\(814\) | 1.21077e7i | 0.640471i | ||||||||
\(815\) | 1.05115e6 | − | 1.18584e7i | 0.0554331 | − | 0.625362i | ||||
\(816\) | 9.30494e6 | + | 3.02538e6i | 0.489202 | + | 0.159058i | ||||
\(817\) | −1.21951e7 | − | 1.21951e7i | −0.639190 | − | 0.639190i | ||||
\(818\) | 2.10680e7 | + | 2.10680e7i | 1.10088 | + | 1.10088i | ||||
\(819\) | 1.29497e6 | − | 1.78090e6i | 0.0674607 | − | 0.0927749i | ||||
\(820\) | −2.18405e7 | + | 1.82839e7i | −1.13430 | + | 0.949583i | ||||
\(821\) | − | 1.02322e7i | − | 0.529800i | −0.964276 | − | 0.264900i | \(-0.914661\pi\) | ||
0.964276 | − | 0.264900i | \(-0.0853390\pi\) | |||||||
\(822\) | 1.90988e7 | − | 9.72659e6i | 0.985885 | − | 0.502089i | ||||
\(823\) | −8.91119e6 | + | 8.91119e6i | −0.458602 | + | 0.458602i | −0.898196 | − | 0.439594i | \(-0.855122\pi\) |
0.439594 | + | 0.898196i | \(0.355122\pi\) | |||||||
\(824\) | 3.02227e6 | 0.155066 | ||||||||
\(825\) | 2.32069e6 | + | 7.65864e6i | 0.118708 | + | 0.391757i | ||||
\(826\) | 9.79573e6 | 0.499559 | ||||||||
\(827\) | 7.85039e6 | − | 7.85039e6i | 0.399142 | − | 0.399142i | −0.478788 | − | 0.877930i | \(-0.658924\pi\) |
0.877930 | + | 0.478788i | \(0.158924\pi\) | |||||||
\(828\) | 258969. | + | 1.63924e6i | 0.0131272 | + | 0.0830934i | ||||
\(829\) | − | 1.28382e7i | − | 0.648813i | −0.945918 | − | 0.324406i | \(-0.894835\pi\) | ||
0.945918 | − | 0.324406i | \(-0.105165\pi\) | |||||||
\(830\) | 2.35307e7 | − | 1.96988e7i | 1.18560 | − | 0.992531i | ||||
\(831\) | −4.95254e6 | + | 1.52322e7i | −0.248786 | + | 0.765172i | ||||
\(832\) | −1.26525e6 | − | 1.26525e6i | −0.0633680 | − | 0.0633680i | ||||
\(833\) | −1.10550e7 | − | 1.10550e7i | −0.552009 | − | 0.552009i | ||||
\(834\) | −860207. | + | 2.64567e6i | −0.0428241 | + | 0.131711i | ||||
\(835\) | −2.53917e6 | + | 2.86454e7i | −0.126031 | + | 1.42180i | ||||
\(836\) | 4.68422e6i | 0.231804i | ||||||||
\(837\) | −1.94119e7 | − | 3.08629e6i | −0.957755 | − | 0.152273i | ||||
\(838\) | 1.14376e6 | − | 1.14376e6i | 0.0562634 | − | 0.0562634i | ||||
\(839\) | −1.15260e7 | −0.565294 | −0.282647 | − | 0.959224i | \(-0.591212\pi\) | ||||
−0.282647 | + | 0.959224i | \(0.591212\pi\) | |||||||
\(840\) | −1.85003e6 | + | 4.34220e6i | −0.0904649 | + | 0.212330i | ||||
\(841\) | −3.76698e6 | −0.183655 | ||||||||
\(842\) | 1.83387e7 | − | 1.83387e7i | 0.891431 | − | 0.891431i | ||||
\(843\) | −3.18535e7 | + | 1.62223e7i | −1.54379 | + | 0.786219i | ||||
\(844\) | 1.11713e7i | 0.539818i | ||||||||
\(845\) | 1.32486e7 | + | 1.58258e7i | 0.638307 | + | 0.762474i | ||||
\(846\) | −1.03259e7 | − | 7.50845e6i | −0.496025 | − | 0.360682i | ||||
\(847\) | −1.88136e7 | − | 1.88136e7i | −0.901078 | − | 0.901078i | ||||
\(848\) | 528046. | + | 528046.i | 0.0252163 | + | 0.0252163i | ||||
\(849\) | 1.17983e7 | + | 3.83607e6i | 0.561759 | + | 0.182649i | ||||
\(850\) | −1.74776e7 | − | 3.12301e6i | −0.829723 | − | 0.148261i | ||||
\(851\) | 1.73655e6i | 0.0821985i | ||||||||
\(852\) | 2.24206e6 | + | 4.40244e6i | 0.105815 | + | 0.207775i | ||||
\(853\) | 1.36182e7 | − | 1.36182e7i | 0.640837 | − | 0.640837i | −0.309924 | − | 0.950761i | \(-0.600304\pi\) |
0.950761 | + | 0.309924i | \(0.100304\pi\) | |||||||
\(854\) | −3.16012e7 | −1.48272 | ||||||||
\(855\) | 1.09392e7 | − | 748044.i | 0.511765 | − | 0.0349955i | ||||
\(856\) | −4.42813e6 | −0.206555 | ||||||||
\(857\) | −2.00407e7 | + | 2.00407e7i | −0.932095 | + | 0.932095i | −0.997837 | − | 0.0657421i | \(-0.979059\pi\) |
0.0657421 | + | 0.997837i | \(0.479059\pi\) | |||||||
\(858\) | −435387. | − | 854911.i | −0.0201910 | − | 0.0396463i | ||||
\(859\) | 3.67165e7i | 1.69777i | 0.528581 | + | 0.848883i | \(0.322724\pi\) | ||||
−0.528581 | + | 0.848883i | \(0.677276\pi\) | |||||||
\(860\) | −4.20295e7 | − | 3.72556e6i | −1.93779 | − | 0.171769i | ||||
\(861\) | 4.24352e7 | + | 1.37973e7i | 1.95083 | + | 0.634286i | ||||
\(862\) | 437843. | + | 437843.i | 0.0200701 | + | 0.0200701i | ||||
\(863\) | 9.66370e6 | + | 9.66370e6i | 0.441689 | + | 0.441689i | 0.892579 | − | 0.450890i | \(-0.148893\pi\) |
−0.450890 | + | 0.892579i | \(0.648893\pi\) | |||||||
\(864\) | −2.54816e7 | + | 1.84905e7i | −1.16130 | + | 0.842684i | ||||
\(865\) | −6.34751e6 | − | 562653.i | −0.288445 | − | 0.0255682i | ||||
\(866\) | 2.38931e7i | 1.08263i | ||||||||
\(867\) | 1.30633e7 | − | 6.65283e6i | 0.590206 | − | 0.300579i | ||||
\(868\) | 2.57237e7 | − | 2.57237e7i | 1.15887 | − | 1.15887i | ||||
\(869\) | −7.44742e6 | −0.334547 | ||||||||
\(870\) | 2.71427e7 | − | 1.09240e7i | 1.21578 | − | 0.489311i | ||||
\(871\) | 483064. | 0.0215754 | ||||||||
\(872\) | 1.68285e6 | − | 1.68285e6i | 0.0749469 | − | 0.0749469i | ||||
\(873\) | 5.22623e6 | − | 825646.i | 0.232088 | − | 0.0366655i | ||||
\(874\) | 1.28042e6i | 0.0566988i | ||||||||
\(875\) | −9.08801e6 | + | 3.34572e7i | −0.401281 | + | 1.47730i | ||||
\(876\) | 9.96606e6 | − | 3.06519e7i | 0.438797 | − | 1.34957i | ||||
\(877\) | 4.25969e6 | + | 4.25969e6i | 0.187016 | + | 0.187016i | 0.794405 | − | 0.607389i | \(-0.207783\pi\) |
−0.607389 | + | 0.794405i | \(0.707783\pi\) | |||||||
\(878\) | −1.95824e6 | − | 1.95824e6i | −0.0857295 | − | 0.0857295i | ||||
\(879\) | 7.89117e6 | − | 2.42703e7i | 0.344484 | − | 1.05950i | ||||
\(880\) | −5.34369e6 | − | 6.38318e6i | −0.232614 | − | 0.277863i | ||||
\(881\) | − | 2.55098e7i | − | 1.10731i | −0.832747 | − | 0.553653i | \(-0.813233\pi\) | ||
0.832747 | − | 0.553653i | \(-0.186767\pi\) | |||||||
\(882\) | 4.44688e7 | − | 7.02523e6i | 1.92479 | − | 0.304081i | ||||
\(883\) | 1.00886e7 | − | 1.00886e7i | 0.435442 | − | 0.435442i | −0.455033 | − | 0.890475i | \(-0.650372\pi\) |
0.890475 | + | 0.455033i | \(0.150372\pi\) | |||||||
\(884\) | 1.11683e6 | 0.0480681 | ||||||||
\(885\) | −4.82258e6 | − | 2.05470e6i | −0.206976 | − | 0.0881840i | ||||
\(886\) | −5.64555e7 | −2.41614 | ||||||||
\(887\) | 1.17625e7 | − | 1.17625e7i | 0.501986 | − | 0.501986i | −0.410069 | − | 0.912055i | \(-0.634495\pi\) |
0.912055 | + | 0.410069i | \(0.134495\pi\) | |||||||
\(888\) | 3.40528e6 | − | 1.73423e6i | 0.144917 | − | 0.0738032i | ||||
\(889\) | − | 3.95234e7i | − | 1.67726i | ||||||
\(890\) | −2.61597e6 | + | 2.95118e7i | −0.110703 | + | 1.24888i | ||||
\(891\) | −9.22791e6 | + | 2.99030e6i | −0.389412 | + | 0.126189i | ||||
\(892\) | −3.97480e6 | − | 3.97480e6i | −0.167264 | − | 0.167264i | ||||
\(893\) | −3.65469e6 | − | 3.65469e6i | −0.153364 | − | 0.153364i | ||||
\(894\) | 2.91900e6 | + | 949077.i | 0.122149 | + | 0.0397153i | ||||
\(895\) | 1.74786e7 | − | 1.46323e7i | 0.729373 | − | 0.610596i | ||||
\(896\) | − | 1.10327e7i | − | 0.459103i | ||||||
\(897\) | −62445.8 | − | 122616.i | −0.00259132 | − | 0.00508824i | ||||
\(898\) | 1.44435e7 | − | 1.44435e7i | 0.597698 | − | 0.597698i | ||||
\(899\) | −2.12330e7 | −0.876218 | ||||||||
\(900\) | 1.93468e7 | − | 1.85829e7i | 0.796163 | − | 0.764730i | ||||
\(901\) | −570403. | −0.0234083 | ||||||||
\(902\) | 1.37475e7 | − | 1.37475e7i | 0.562608 | − | 0.562608i | ||||
\(903\) | 2.99976e7 | + | 5.89023e7i | 1.22424 | + | 2.40388i | ||||
\(904\) | 6.58096e6i | 0.267835i | ||||||||
\(905\) | 9.85214e6 | − | 8.24774e6i | 0.399861 | − | 0.334745i | ||||
\(906\) | −4.37769e7 | − | 1.42335e7i | −1.77184 | − | 0.576091i | ||||
\(907\) | −8.33201e6 | − | 8.33201e6i | −0.336304 | − | 0.336304i | 0.518670 | − | 0.854974i | \(-0.326427\pi\) |
−0.854974 | + | 0.518670i | \(0.826427\pi\) | |||||||
\(908\) | −2.09456e7 | − | 2.09456e7i | −0.843099 | − | 0.843099i | ||||
\(909\) | 2.51670e6 | + | 1.83000e6i | 0.101023 | + | 0.0734584i | ||||
\(910\) | 366991. | − | 4.14017e6i | 0.0146910 | − | 0.165735i | ||||
\(911\) | − | 2.83077e7i | − | 1.13008i | −0.825063 | − | 0.565040i | \(-0.808861\pi\) | ||
0.825063 | − | 0.565040i | \(-0.191139\pi\) | |||||||
\(912\) | −1.01640e7 | + | 5.17628e6i | −0.404647 | + | 0.206078i | ||||
\(913\) | −7.77153e6 | + | 7.77153e6i | −0.308553 | + | 0.308553i | ||||
\(914\) | −1.84740e7 | −0.731470 | ||||||||
\(915\) | 1.55577e7 | + | 6.62848e6i | 0.614317 | + | 0.261735i | ||||
\(916\) | 2.38471e6 | 0.0939069 | ||||||||
\(917\) | 1.36520e7 | − | 1.36520e7i | 0.536133 | − | 0.536133i | ||||
\(918\) | 3.37919e6 | − | 2.12542e7i | 0.132345 | − | 0.832410i | ||||
\(919\) | 2.04193e7i | 0.797540i | 0.917051 | + | 0.398770i | \(0.130563\pi\) | ||||
−0.917051 | + | 0.398770i | \(0.869437\pi\) | |||||||
\(920\) | 189332. | + | 226162.i | 0.00737486 | + | 0.00880946i | ||||
\(921\) | 4.40589e6 | − | 1.35509e7i | 0.171153 | − | 0.526402i | ||||
\(922\) | 3.35796e7 | + | 3.35796e7i | 1.30091 | + | 1.30091i | ||||
\(923\) | −289656. | − | 289656.i | −0.0111912 | − | 0.0111912i | ||||
\(924\) | 5.55125e6 | − | 1.70736e7i | 0.213900 | − | 0.657876i | ||||
\(925\) | 2.30305e7 | − | 1.60477e7i | 0.885012 | − | 0.616679i | ||||
\(926\) | 1.78523e7i | 0.684174i | ||||||||
\(927\) | 4.19915e6 | + | 2.65801e7i | 0.160495 | + | 1.01591i | ||||
\(928\) | −2.40487e7 | + | 2.40487e7i | −0.916687 | + | 0.916687i | ||||
\(929\) | 1.41172e6 | 0.0536674 | 0.0268337 | − | 0.999640i | \(-0.491458\pi\) | ||||
0.0268337 | + | 0.999640i | \(0.491458\pi\) | |||||||
\(930\) | −3.44191e7 | + | 1.38526e7i | −1.30495 | + | 0.525198i | ||||
\(931\) | 1.82254e7 | 0.689134 | ||||||||
\(932\) | −1.55548e7 | + | 1.55548e7i | −0.586577 | + | 0.586577i | ||||
\(933\) | −2.45084e7 | + | 1.24816e7i | −0.921743 | + | 0.469423i | ||||
\(934\) | 2.46022e6i | 0.0922798i | ||||||||
\(935\) | 6.33378e6 | + | 561436.i | 0.236938 | + | 0.0210025i | ||||
\(936\) | −178081. | + | 244905.i | −0.00664399 | + | 0.00913710i | ||||
\(937\) | 2.41503e7 | + | 2.41503e7i | 0.898615 | + | 0.898615i | 0.995314 | − | 0.0966989i | \(-0.0308284\pi\) |
−0.0966989 | + | 0.995314i | \(0.530828\pi\) | |||||||
\(938\) | 1.21822e7 | + | 1.21822e7i | 0.452084 | + | 0.452084i | ||||
\(939\) | 1.17875e7 | + | 3.83255e6i | 0.436272 | + | 0.141848i | ||||
\(940\) | −1.25956e7 | − | 1.11650e6i | −0.464943 | − | 0.0412133i | ||||
\(941\) | 3.35812e7i | 1.23629i | 0.786063 | + | 0.618147i | \(0.212116\pi\) | ||||
−0.786063 | + | 0.618147i | \(0.787884\pi\) | |||||||
\(942\) | −2.54557e7 | − | 4.99839e7i | −0.934669 | − | 1.83528i | ||||
\(943\) | 1.97174e6 | − | 1.97174e6i | 0.0722056 | − | 0.0722056i | ||||
\(944\) | 5.45306e6 | 0.199164 | ||||||||
\(945\) | −4.07589e7 | − | 1.02375e7i | −1.48471 | − | 0.372917i | ||||
\(946\) | 2.88004e7 | 1.04633 | ||||||||
\(947\) | −1.34516e7 | + | 1.34516e7i | −0.487413 | + | 0.487413i | −0.907489 | − | 0.420076i | \(-0.862004\pi\) |
0.420076 | + | 0.907489i | \(0.362004\pi\) | |||||||
\(948\) | 1.13295e7 | + | 2.22462e7i | 0.409439 | + | 0.803961i | ||||
\(949\) | 2.67243e6i | 0.0963256i | ||||||||
\(950\) | 1.69812e7 | − | 1.18325e7i | 0.610463 | − | 0.425372i | ||||
\(951\) | −3.70862e7 | − | 1.20581e7i | −1.32972 | − | 0.432342i | ||||
\(952\) | 2.65187e6 | + | 2.65187e6i | 0.0948330 | + | 0.0948330i | ||||
\(953\) | 1.40505e7 | + | 1.40505e7i | 0.501139 | + | 0.501139i | 0.911792 | − | 0.410653i | \(-0.134699\pi\) |
−0.410653 | + | 0.911792i | \(0.634699\pi\) | |||||||
\(954\) | 965985. | − | 1.32846e6i | 0.0343637 | − | 0.0472584i | ||||
\(955\) | 1.52265e7 | + | 1.81885e7i | 0.540247 | + | 0.645339i | ||||
\(956\) | 5.15306e7i | 1.82356i | ||||||||
\(957\) | −9.33755e6 | + | 4.75541e6i | −0.329574 | + | 0.167845i | ||||
\(958\) | −4.91948e7 | + | 4.91948e7i | −1.73183 | + | 1.73183i | ||||
\(959\) | −3.32552e7 | −1.16765 | ||||||||
\(960\) | −1.33857e7 | + | 3.14175e7i | −0.468773 | + | 1.10026i | ||||
\(961\) | −1.70396e6 | −0.0595183 | ||||||||
\(962\) | −2.37958e6 | + | 2.37958e6i | −0.0829014 | + | 0.0829014i | ||||
\(963\) | −6.15246e6 | − | 3.89443e7i | −0.213788 | − | 1.35325i | ||||
\(964\) | − | 8.83922e6i | − | 0.306352i | ||||||
\(965\) | 3.84675e6 | − | 4.33967e7i | 0.132977 | − | 1.50016i | ||||
\(966\) | 1.51742e6 | − | 4.66701e6i | 0.0523194 | − | 0.160915i | ||||
\(967\) | 1.52842e6 | + | 1.52842e6i | 0.0525624 | + | 0.0525624i | 0.732899 | − | 0.680337i | \(-0.238167\pi\) |
−0.680337 | + | 0.732899i | \(0.738167\pi\) | |||||||
\(968\) | 2.58719e6 | + | 2.58719e6i | 0.0887444 | + | 0.0887444i | ||||
\(969\) | 2.69389e6 | − | 8.28539e6i | 0.0921659 | − | 0.283468i | ||||
\(970\) | 7.65813e6 | − | 6.41102e6i | 0.261332 | − | 0.218775i | ||||
\(971\) | 4.66888e6i | 0.158915i | 0.996838 | + | 0.0794574i | \(0.0253188\pi\) | ||||
−0.996838 | + | 0.0794574i | \(0.974681\pi\) | |||||||
\(972\) | 2.29704e7 | + | 2.30157e7i | 0.779836 | + | 0.781372i | ||||
\(973\) | 3.05225e6 | − | 3.05225e6i | 0.103357 | − | 0.103357i | ||||
\(974\) | 1.25923e7 | 0.425311 | ||||||||
\(975\) | −1.04909e6 | + | 1.96128e6i | −0.0353429 | + | 0.0660737i | ||||
\(976\) | −1.75917e7 | −0.591129 | ||||||||
\(977\) | 2.86346e7 | − | 2.86346e7i | 0.959743 | − | 0.959743i | −0.0394774 | − | 0.999220i | \(-0.512569\pi\) |
0.999220 | + | 0.0394774i | \(0.0125693\pi\) | |||||||
\(978\) | 2.42728e7 | − | 1.23616e7i | 0.811470 | − | 0.413263i | ||||
\(979\) | − | 1.06109e7i | − | 0.353831i | ||||||
\(980\) | 3.41902e7 | − | 2.86224e7i | 1.13720 | − | 0.952008i | ||||
\(981\) | 1.71384e7 | + | 1.24621e7i | 0.568587 | + | 0.413444i | ||||
\(982\) | −4.61318e7 | − | 4.61318e7i | −1.52659 | − | 1.52659i | ||||
\(983\) | −6.38514e6 | − | 6.38514e6i | −0.210759 | − | 0.210759i | 0.593831 | − | 0.804590i | \(-0.297615\pi\) |
−0.804590 | + | 0.593831i | \(0.797615\pi\) | |||||||
\(984\) | −5.83558e6 | − | 1.89737e6i | −0.192131 | − | 0.0624688i | ||||
\(985\) | 380228. | − | 4.28950e6i | 0.0124869 | − | 0.140869i | ||||
\(986\) | − | 2.32481e7i | − | 0.761544i | ||||||
\(987\) | 8.98986e6 | + | 1.76522e7i | 0.293738 | + | 0.576773i | ||||
\(988\) | −920612. | + | 920612.i | −0.0300044 | + | 0.0300044i | ||||
\(989\) | 4.13071e6 | 0.134287 | ||||||||
\(990\) | −1.20339e7 | + | 1.38005e7i | −0.390228 | + | 0.447515i | ||||
\(991\) | −2.10467e6 | −0.0680770 | −0.0340385 | − | 0.999421i | \(-0.510837\pi\) | ||||
−0.0340385 | + | 0.999421i | \(0.510837\pi\) | |||||||
\(992\) | 3.04957e7 | − | 3.04957e7i | 0.983919 | − | 0.983919i | ||||
\(993\) | −5.11516e6 | − | 1.00440e7i | −0.164621 | − | 0.323245i | ||||
\(994\) | − | 1.46094e7i | − | 0.468995i | ||||||
\(995\) | 3.07348e7 | + | 3.67135e7i | 0.984175 | + | 1.17562i | ||||
\(996\) | 3.50369e7 | + | 1.13918e7i | 1.11912 | + | 0.363868i | ||||
\(997\) | −2.12150e7 | − | 2.12150e7i | −0.675936 | − | 0.675936i | 0.283142 | − | 0.959078i | \(-0.408623\pi\) |
−0.959078 | + | 0.283142i | \(0.908623\pi\) | |||||||
\(998\) | −3.08783e7 | − | 3.08783e7i | −0.981357 | − | 0.981357i | ||||
\(999\) | 1.99834e7 | + | 2.75390e7i | 0.633514 | + | 0.873040i |
(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 | 15.6.e.a.2.2 | ✓ | 16 | |
3.2 | odd | 2 | inner | 15.6.e.a.2.7 | yes | 16 | |
5.2 | odd | 4 | 75.6.e.e.68.2 | 16 | |||
5.3 | odd | 4 | inner | 15.6.e.a.8.7 | yes | 16 | |
5.4 | even | 2 | 75.6.e.e.32.7 | 16 | |||
15.2 | even | 4 | 75.6.e.e.68.7 | 16 | |||
15.8 | even | 4 | inner | 15.6.e.a.8.2 | yes | 16 | |
15.14 | odd | 2 | 75.6.e.e.32.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
15.6.e.a.2.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
15.6.e.a.2.7 | yes | 16 | 3.2 | odd | 2 | inner | |
15.6.e.a.8.2 | yes | 16 | 15.8 | even | 4 | inner | |
15.6.e.a.8.7 | yes | 16 | 5.3 | odd | 4 | inner | |
75.6.e.e.32.2 | 16 | 15.14 | odd | 2 | |||
75.6.e.e.32.7 | 16 | 5.4 | even | 2 | |||
75.6.e.e.68.2 | 16 | 5.2 | odd | 4 | |||
75.6.e.e.68.7 | 16 | 15.2 | even | 4 |