Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(79,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.79");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.o (of order \(6\), degree \(2\), not 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: | \(6.10355792167\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 2x^{10} - 12x^{9} + 12x^{8} - 12x^{7} + 148x^{6} - 48x^{5} + 192x^{4} - 768x^{3} + 512x^{2} + 4096 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 79.5 | ||
Root | \(-0.685878 - 1.87872i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 224.79 |
Dual form | 224.3.o.c.207.5 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.46995 | + | 2.54604i | 0.489985 | + | 0.848678i | 0.999934 | − | 0.0115263i | \(-0.00366901\pi\) |
−0.509949 | + | 0.860205i | \(0.670336\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −7.59793 | − | 4.38667i | −1.51959 | − | 0.877333i | −0.999734 | − | 0.0230765i | \(-0.992654\pi\) |
−0.519852 | − | 0.854257i | \(-0.674013\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.55324 | − | 6.03112i | 0.507606 | − | 0.861589i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.178469 | − | 0.309118i | 0.0198299 | − | 0.0343464i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.64842 | − | 2.85515i | −0.149857 | − | 0.259559i | 0.781318 | − | 0.624134i | \(-0.214548\pi\) |
−0.931174 | + | 0.364574i | \(0.881215\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 4.10293i | − | 0.315610i | −0.987470 | − | 0.157805i | \(-0.949558\pi\) | ||
0.987470 | − | 0.157805i | \(-0.0504418\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 25.7928i | − | 1.71952i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −11.6184 | − | 20.1236i | −0.683434 | − | 1.18374i | −0.973926 | − | 0.226865i | \(-0.927152\pi\) |
0.290492 | − | 0.956877i | \(-0.406181\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.76861 | − | 4.79537i | 0.145716 | − | 0.252388i | −0.783924 | − | 0.620857i | \(-0.786785\pi\) |
0.929640 | + | 0.368469i | \(0.120118\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 20.5786 | + | 0.181210i | 0.979931 | + | 0.00862905i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 12.8739 | + | 7.43273i | 0.559734 | + | 0.323162i | 0.753039 | − | 0.657976i | \(-0.228587\pi\) |
−0.193305 | + | 0.981139i | \(0.561921\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 25.9857 | + | 45.0085i | 1.03943 | + | 1.80034i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 27.5085 | 1.01883 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 43.1747i | − | 1.48878i | −0.667744 | − | 0.744391i | \(-0.732740\pi\) | ||
0.667744 | − | 0.744391i | \(-0.267260\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −26.6958 | + | 15.4128i | −0.861153 | + | 0.497187i | −0.864398 | − | 0.502808i | \(-0.832300\pi\) |
0.00324492 | + | 0.999995i | \(0.498967\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.84621 | − | 8.39389i | 0.146855 | − | 0.254360i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −53.4538 | + | 30.2371i | −1.52725 | + | 0.863918i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 11.3647 | + | 6.56141i | 0.307154 | + | 0.177335i | 0.645652 | − | 0.763632i | \(-0.276586\pi\) |
−0.338498 | + | 0.940967i | \(0.609919\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 10.4462 | − | 6.03112i | 0.267852 | − | 0.154644i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.56863 | −0.208991 | −0.104496 | − | 0.994525i | \(-0.533323\pi\) | ||||
−0.104496 | + | 0.994525i | \(0.533323\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11.3076 | 0.262967 | 0.131483 | − | 0.991318i | \(-0.458026\pi\) | ||||
0.131483 | + | 0.991318i | \(0.458026\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.71199 | + | 1.56577i | −0.0602665 | + | 0.0347949i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −31.9084 | − | 18.4223i | −0.678902 | − | 0.391964i | 0.120539 | − | 0.992709i | \(-0.461538\pi\) |
−0.799441 | + | 0.600744i | \(0.794871\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −23.7489 | − | 42.8601i | −0.484672 | − | 0.874696i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 34.1570 | − | 59.1616i | 0.669744 | − | 1.16003i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −53.2193 | + | 30.7262i | −1.00414 | + | 0.579739i | −0.909470 | − | 0.415770i | \(-0.863512\pi\) |
−0.0946675 | + | 0.995509i | \(0.530179\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 28.9243i | 0.525897i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 16.2789 | 0.285595 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −31.3354 | − | 54.2746i | −0.531109 | − | 0.919908i | −0.999341 | − | 0.0363022i | \(-0.988442\pi\) |
0.468232 | − | 0.883606i | \(-0.344891\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 34.3623 | + | 19.8391i | 0.563317 | + | 0.325231i | 0.754476 | − | 0.656328i | \(-0.227891\pi\) |
−0.191159 | + | 0.981559i | \(0.561225\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.23018 | − | 2.17474i | −0.0195267 | − | 0.0345197i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −17.9982 | + | 31.1738i | −0.276895 | + | 0.479597i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 21.3147 | + | 36.9182i | 0.318130 | + | 0.551018i | 0.980098 | − | 0.198514i | \(-0.0636117\pi\) |
−0.661968 | + | 0.749533i | \(0.730278\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 43.7031i | 0.633378i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 107.155i | 1.50922i | 0.656174 | + | 0.754610i | \(0.272174\pi\) | ||||
−0.656174 | + | 0.754610i | \(0.727826\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −18.0085 | − | 31.1917i | −0.246692 | − | 0.427284i | 0.715914 | − | 0.698189i | \(-0.246010\pi\) |
−0.962606 | + | 0.270905i | \(0.912677\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −76.3955 | + | 132.321i | −1.01861 | + | 1.76428i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −23.0770 | − | 0.203211i | −0.299702 | − | 0.00263910i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 36.3029 | + | 20.9595i | 0.459530 | + | 0.265310i | 0.711847 | − | 0.702335i | \(-0.247859\pi\) |
−0.252317 | + | 0.967645i | \(0.581192\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 38.8301 | + | 67.2557i | 0.479384 | + | 0.830317i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 87.8010 | 1.05784 | 0.528922 | − | 0.848671i | \(-0.322596\pi\) | ||||
0.528922 | + | 0.848671i | \(0.322596\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 203.864i | 2.39840i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 109.924 | − | 63.4648i | 1.26350 | − | 0.729480i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.04794 | + | 1.81508i | −0.0117746 | + | 0.0203942i | −0.871853 | − | 0.489768i | \(-0.837081\pi\) |
0.860078 | + | 0.510162i | \(0.170415\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −24.7453 | − | 14.5787i | −0.271926 | − | 0.160206i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −78.4831 | − | 45.3122i | −0.843904 | − | 0.487228i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −42.0713 | + | 24.2899i | −0.442856 | + | 0.255683i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −40.6387 | −0.418956 | −0.209478 | − | 0.977813i | \(-0.567176\pi\) | ||||
−0.209478 | + | 0.977813i | \(0.567176\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.17677 | −0.0118866 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 24.4300 | − | 14.1047i | 0.241882 | − | 0.139650i | −0.374160 | − | 0.927364i | \(-0.622069\pi\) |
0.616041 | + | 0.787714i | \(0.288735\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 74.6380 | + | 43.0923i | 0.724641 | + | 0.418372i | 0.816458 | − | 0.577404i | \(-0.195934\pi\) |
−0.0918176 | + | 0.995776i | \(0.529268\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −155.559 | − | 91.6481i | −1.48152 | − | 0.872839i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 32.1677 | − | 55.7161i | 0.300633 | − | 0.520711i | −0.675647 | − | 0.737225i | \(-0.736136\pi\) |
0.976279 | + | 0.216515i | \(0.0694689\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 99.8826 | − | 57.6672i | 0.916354 | − | 0.529057i | 0.0338838 | − | 0.999426i | \(-0.489212\pi\) |
0.882470 | + | 0.470369i | \(0.155879\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 38.5799i | 0.347566i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 201.331 | 1.78169 | 0.890845 | − | 0.454308i | \(-0.150113\pi\) | ||||
0.890845 | + | 0.454308i | \(0.150113\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −65.2098 | − | 112.947i | −0.567042 | − | 0.982146i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.26829 | − | 0.732248i | −0.0108401 | − | 0.00625853i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −162.651 | − | 1.43227i | −1.36681 | − | 0.0120359i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 55.0654 | − | 95.3761i | 0.455086 | − | 0.788232i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −12.5955 | − | 21.8160i | −0.102402 | − | 0.177366i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 236.628i | − | 1.89303i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 105.675i | − | 0.832088i | −0.909344 | − | 0.416044i | \(-0.863416\pi\) | ||
0.909344 | − | 0.416044i | \(-0.136584\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 16.6216 | + | 28.7895i | 0.128850 | + | 0.223174i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −81.8153 | + | 141.708i | −0.624544 | + | 1.08174i | 0.364084 | + | 0.931366i | \(0.381382\pi\) |
−0.988629 | + | 0.150377i | \(0.951951\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −19.0839 | − | 33.7369i | −0.143488 | − | 0.253661i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −209.008 | − | 120.671i | −1.54821 | − | 0.893858i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 16.0139 | + | 27.7368i | 0.116889 | + | 0.202458i | 0.918533 | − | 0.395343i | \(-0.129374\pi\) |
−0.801644 | + | 0.597802i | \(0.796041\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 27.2303 | 0.195901 | 0.0979507 | − | 0.995191i | \(-0.468771\pi\) | ||||
0.0979507 | + | 0.995191i | \(0.468771\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | − | 108.320i | − | 0.768226i | ||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −11.7145 | + | 6.76337i | −0.0819196 | + | 0.0472963i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −189.393 | + | 328.038i | −1.30616 | + | 2.26233i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 74.2136 | − | 123.468i | 0.504854 | − | 0.839918i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 107.716 | + | 62.1901i | 0.722930 | + | 0.417384i | 0.815830 | − | 0.578292i | \(-0.196280\pi\) |
−0.0929004 | + | 0.995675i | \(0.529614\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 92.9010 | − | 53.6364i | 0.615238 | − | 0.355208i | −0.159774 | − | 0.987154i | \(-0.551077\pi\) |
0.775013 | + | 0.631945i | \(0.217743\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −8.29410 | −0.0542098 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 270.443 | 1.74480 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 92.7573 | − | 53.5534i | 0.590811 | − | 0.341105i | −0.174607 | − | 0.984638i | \(-0.555866\pi\) |
0.765418 | + | 0.643533i | \(0.222532\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −156.460 | − | 90.3321i | −0.984024 | − | 0.568126i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 90.5718 | − | 51.2336i | 0.562558 | − | 0.318221i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −100.378 | + | 173.859i | −0.615813 | + | 1.06662i | 0.374428 | + | 0.927256i | \(0.377839\pi\) |
−0.990241 | + | 0.139364i | \(0.955494\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −73.6424 | + | 42.5174i | −0.446317 | + | 0.257681i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | − | 207.929i | − | 1.24508i | −0.782587 | − | 0.622541i | \(-0.786100\pi\) | ||
0.782587 | − | 0.622541i | \(-0.213900\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 152.166 | 0.900390 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.988223 | − | 1.71165i | −0.00577908 | − | 0.0100097i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −188.386 | − | 108.765i | −1.08894 | − | 0.628699i | −0.155645 | − | 0.987813i | \(-0.549746\pi\) |
−0.933294 | + | 0.359114i | \(0.883079\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 363.785 | + | 3.20341i | 2.07877 | + | 0.0183052i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 92.1233 | − | 159.562i | 0.520471 | − | 0.901482i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −23.2072 | − | 40.1960i | −0.129649 | − | 0.224559i | 0.793892 | − | 0.608059i | \(-0.208052\pi\) |
−0.923541 | + | 0.383501i | \(0.874718\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 247.523i | 1.36753i | 0.729702 | + | 0.683765i | \(0.239659\pi\) | ||||
−0.729702 | + | 0.683765i | \(0.760341\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 116.650i | 0.637433i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −57.5654 | − | 99.7062i | −0.311164 | − | 0.538952i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −38.3040 | + | 66.3445i | −0.204834 | + | 0.354783i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 97.7446 | − | 165.907i | 0.517167 | − | 0.877817i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 276.177 | + | 159.451i | 1.44595 | + | 0.834822i | 0.998237 | − | 0.0593533i | \(-0.0189039\pi\) |
0.447717 | + | 0.894175i | \(0.352237\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −154.875 | − | 268.251i | −0.802461 | − | 1.38990i | −0.917992 | − | 0.396599i | \(-0.870190\pi\) |
0.115531 | − | 0.993304i | \(-0.463143\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −105.826 | −0.542698 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 157.969i | − | 0.801872i | −0.916106 | − | 0.400936i | \(-0.868685\pi\) | ||
0.916106 | − | 0.400936i | \(-0.131315\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.8606 | − | 9.73449i | 0.0847268 | − | 0.0489171i | −0.457038 | − | 0.889447i | \(-0.651090\pi\) |
0.541765 | + | 0.840530i | \(0.317756\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −62.6634 | + | 108.536i | −0.311758 | + | 0.539981i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −260.392 | − | 153.410i | −1.28272 | − | 0.755715i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 65.1039 | + | 37.5877i | 0.317580 | + | 0.183355i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.59518 | − | 2.65303i | 0.0221990 | − | 0.0128166i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −18.2553 | −0.0873462 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 197.272 | 0.934937 | 0.467468 | − | 0.884010i | \(-0.345166\pi\) | ||||
0.467468 | + | 0.884010i | \(0.345166\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −272.819 | + | 157.512i | −1.28084 | + | 0.739494i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −85.9141 | − | 49.6025i | −0.399600 | − | 0.230709i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.90003 | + | 215.771i | −0.00875589 | + | 0.994336i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 52.9435 | − | 91.7008i | 0.241751 | − | 0.418725i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −82.5659 | + | 47.6694i | −0.373601 | + | 0.215699i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 263.559i | 1.18188i | 0.806716 | + | 0.590940i | \(0.201243\pi\) | ||||
−0.806716 | + | 0.590940i | \(0.798757\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 18.5506 | 0.0824470 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 48.5497 | + | 84.0905i | 0.213875 | + | 0.370443i | 0.952924 | − | 0.303209i | \(-0.0980580\pi\) |
−0.739049 | + | 0.673652i | \(0.764725\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 119.051 | + | 68.7339i | 0.519872 | + | 0.300148i | 0.736882 | − | 0.676021i | \(-0.236297\pi\) |
−0.217011 | + | 0.976169i | \(0.569631\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −33.4048 | − | 59.0537i | −0.144610 | − | 0.255644i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −68.6614 | + | 118.925i | −0.294684 | + | 0.510408i | −0.974911 | − | 0.222593i | \(-0.928548\pi\) |
0.680227 | + | 0.733001i | \(0.261881\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 161.625 | + | 279.943i | 0.687766 | + | 1.19125i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 123.238i | 0.519991i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 325.305i | − | 1.36111i | −0.732697 | − | 0.680555i | \(-0.761739\pi\) | ||
0.732697 | − | 0.680555i | \(-0.238261\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −126.919 | − | 219.830i | −0.526635 | − | 0.912159i | −0.999518 | − | 0.0310335i | \(-0.990120\pi\) |
0.472883 | − | 0.881125i | \(-0.343213\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 9.63158 | − | 16.6824i | 0.0396361 | − | 0.0686518i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −7.57049 | + | 429.827i | −0.0309000 | + | 1.75439i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −19.6751 | − | 11.3594i | −0.0796562 | − | 0.0459895i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 129.063 | + | 223.545i | 0.518327 | + | 0.897769i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −192.899 | −0.768521 | −0.384261 | − | 0.923225i | \(-0.625544\pi\) | ||||
−0.384261 | + | 0.923225i | \(0.625544\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 49.0092i | − | 0.193712i | ||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −519.044 | + | 299.670i | −2.03547 | + | 1.17518i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −16.7985 | + | 29.0959i | −0.0653640 | + | 0.113214i | −0.896855 | − | 0.442324i | \(-0.854154\pi\) |
0.831491 | + | 0.555538i | \(0.187488\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 79.9542 | − | 45.2276i | 0.308703 | − | 0.174624i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −13.3461 | − | 7.70535i | −0.0511344 | − | 0.0295224i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −317.791 | + | 183.477i | −1.20833 | + | 0.697630i | −0.962394 | − | 0.271656i | \(-0.912429\pi\) |
−0.245936 | + | 0.969286i | \(0.579095\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 539.142 | 2.03450 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.16168 | −0.0230775 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 90.9729 | − | 52.5232i | 0.338189 | − | 0.195254i | −0.321282 | − | 0.946984i | \(-0.604114\pi\) |
0.659471 | + | 0.751730i | \(0.270780\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 228.342 | + | 131.833i | 0.842592 | + | 0.486470i | 0.858144 | − | 0.513409i | \(-0.171617\pi\) |
−0.0155528 | + | 0.999879i | \(0.504951\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.743493 | − | 84.4325i | 0.00272342 | − | 0.309276i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 85.6708 | − | 148.386i | 0.311530 | − | 0.539586i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 240.983 | − | 139.132i | 0.869974 | − | 0.502280i | 0.00263452 | − | 0.999997i | \(-0.499161\pi\) |
0.867340 | + | 0.497717i | \(0.165828\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 11.0029i | 0.0394367i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −400.248 | −1.42437 | −0.712184 | − | 0.701993i | \(-0.752294\pi\) | ||||
−0.712184 | + | 0.701993i | \(0.752294\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −95.8351 | − | 165.991i | −0.338640 | − | 0.586541i | 0.645537 | − | 0.763729i | \(-0.276633\pi\) |
−0.984177 | + | 0.177187i | \(0.943300\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −123.686 | − | 71.4101i | −0.433986 | − | 0.250562i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −30.4465 | + | 51.6785i | −0.106085 | + | 0.180064i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −125.473 | + | 217.326i | −0.434164 | + | 0.751994i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −59.7370 | − | 103.468i | −0.205282 | − | 0.355559i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 33.7800i | 0.115290i | 0.998337 | + | 0.0576451i | \(0.0183592\pi\) | ||||
−0.998337 | + | 0.0576451i | \(0.981641\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 549.832i | 1.86384i | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −45.3457 | − | 78.5411i | −0.152679 | − | 0.264448i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 30.4960 | − | 52.8206i | 0.101993 | − | 0.176658i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 40.1786 | − | 68.1974i | 0.133484 | − | 0.226569i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 71.8221 | + | 41.4665i | 0.237037 | + | 0.136853i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −174.055 | − | 301.472i | −0.570672 | − | 0.988433i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −493.884 | −1.60874 | −0.804371 | − | 0.594128i | \(-0.797497\pi\) | ||||
−0.804371 | + | 0.594128i | \(0.797497\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 253.375i | 0.819983i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 452.989 | − | 261.533i | 1.45656 | − | 0.840943i | 0.457717 | − | 0.889098i | \(-0.348667\pi\) |
0.998840 | + | 0.0481545i | \(0.0153340\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 75.6865 | − | 131.093i | 0.241810 | − | 0.418827i | −0.719420 | − | 0.694575i | \(-0.755592\pi\) |
0.961230 | + | 0.275748i | \(0.0889256\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.193022 | + | 21.9199i | −0.000612768 | + | 0.0695871i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −0.375088 | − | 0.216557i | −0.00118324 | − | 0.000683145i | 0.499408 | − | 0.866367i | \(-0.333551\pi\) |
−0.500592 | + | 0.865684i | \(0.666884\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −123.270 | + | 71.1701i | −0.386427 | + | 0.223104i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 189.140 | 0.589222 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −128.667 | −0.398349 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 184.667 | − | 106.617i | 0.568206 | − | 0.328054i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 293.646 | + | 169.536i | 0.897999 | + | 0.518460i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −224.486 | + | 126.984i | −0.682327 | + | 0.385971i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −71.4511 | + | 123.757i | −0.215864 | + | 0.373888i | −0.953540 | − | 0.301268i | \(-0.902590\pi\) |
0.737675 | + | 0.675156i | \(0.235924\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.05650 | − | 2.34202i | 0.0121817 | − | 0.00703309i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 374.003i | − | 1.11643i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.0248 | 0.0416167 | 0.0208084 | − | 0.999783i | \(-0.493376\pi\) | ||||
0.0208084 | + | 0.999783i | \(0.493376\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 295.947 | + | 512.596i | 0.873001 | + | 1.51208i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 88.0118 | + | 50.8137i | 0.258099 | + | 0.149014i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −342.880 | − | 9.05985i | −0.999651 | − | 0.0264135i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 191.711 | − | 332.053i | 0.555684 | − | 0.962473i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 187.840 | + | 325.348i | 0.541325 | + | 0.937602i | 0.998828 | + | 0.0483939i | \(0.0154103\pi\) |
−0.457504 | + | 0.889208i | \(0.651256\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 203.347i | 0.582657i | 0.956623 | + | 0.291328i | \(0.0940972\pi\) | ||||
−0.956623 | + | 0.291328i | \(0.905903\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 112.866i | − | 0.321555i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 259.114 | + | 448.799i | 0.734035 | + | 1.27139i | 0.955145 | + | 0.296137i | \(0.0956986\pi\) |
−0.221110 | + | 0.975249i | \(0.570968\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 470.051 | − | 814.152i | 1.32409 | − | 2.29339i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −235.443 | − | 416.221i | −0.659504 | − | 1.16588i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −136.713 | − | 78.9312i | −0.380816 | − | 0.219864i | 0.297357 | − | 0.954766i | \(-0.403895\pi\) |
−0.678173 | + | 0.734902i | \(0.737228\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 165.170 | + | 286.082i | 0.457534 | + | 0.792471i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 323.774 | 0.891941 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 315.990i | 0.865725i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 269.087 | − | 155.358i | 0.733208 | − | 0.423318i | −0.0863866 | − | 0.996262i | \(-0.527532\pi\) |
0.819595 | + | 0.572944i | \(0.194199\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.52924 | + | 2.64872i | −0.00414428 | + | 0.00717810i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.78780 | + | 430.150i | −0.0102097 | + | 1.15943i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −348.944 | − | 201.463i | −0.935506 | − | 0.540115i | −0.0469575 | − | 0.998897i | \(-0.514953\pi\) |
−0.888549 | + | 0.458782i | \(0.848286\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 602.464 | − | 347.833i | 1.60657 | − | 0.927554i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −177.143 | −0.469875 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −400.615 | −1.05703 | −0.528516 | − | 0.848923i | \(-0.677251\pi\) | ||||
−0.528516 | + | 0.848923i | \(0.677251\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 269.053 | − | 155.338i | 0.706176 | − | 0.407711i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −375.665 | − | 216.890i | −0.980849 | − | 0.566293i | −0.0783224 | − | 0.996928i | \(-0.524956\pi\) |
−0.902526 | + | 0.430635i | \(0.858290\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 174.446 | + | 102.775i | 0.453107 | + | 0.266949i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.01806 | − | 3.49537i | 0.00521461 | − | 0.00903197i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −280.337 | + | 161.853i | −0.720660 | + | 0.416073i | −0.814996 | − | 0.579467i | \(-0.803261\pi\) |
0.0943355 | + | 0.995540i | \(0.469927\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 345.425i | − | 0.883441i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −481.059 | −1.22407 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −183.884 | − | 318.497i | −0.465530 | − | 0.806322i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 71.0133 | + | 40.9996i | 0.178875 | + | 0.103273i | 0.586764 | − | 0.809758i | \(-0.300402\pi\) |
−0.407889 | + | 0.913031i | \(0.633735\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 57.8429 | − | 98.1801i | 0.144970 | − | 0.246065i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −34.3758 | + | 59.5405i | −0.0857251 | + | 0.148480i | −0.905700 | − | 0.423919i | \(-0.860654\pi\) |
0.819975 | + | 0.572400i | \(0.193987\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 63.2377 | + | 109.531i | 0.156917 | + | 0.271789i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − | 681.338i | − | 1.68232i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 43.2639i | − | 0.106300i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −168.427 | − | 291.724i | −0.411802 | − | 0.713263i | 0.583285 | − | 0.812268i | \(-0.301767\pi\) |
−0.995087 | + | 0.0990053i | \(0.968434\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −47.0793 | + | 81.5437i | −0.114548 | + | 0.198403i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −438.679 | − | 3.86291i | −1.06218 | − | 0.00935328i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −667.106 | − | 385.154i | −1.60748 | − | 0.928081i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 40.0273 | + | 69.3293i | 0.0959887 | + | 0.166257i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 619.580 | 1.47871 | 0.739356 | − | 0.673315i | \(-0.235130\pi\) | ||||
0.739356 | + | 0.673315i | \(0.235130\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 606.552i | − | 1.44074i | −0.693589 | − | 0.720371i | \(-0.743972\pi\) | ||
0.693589 | − | 0.720371i | \(-0.256028\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −11.3893 | + | 6.57564i | −0.0269251 | + | 0.0155452i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 603.823 | − | 1045.85i | 1.42076 | − | 2.46083i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 241.750 | − | 136.750i | 0.566159 | − | 0.320258i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −34.4396 | − | 19.8837i | −0.0802787 | − | 0.0463489i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 232.207 | − | 134.065i | 0.538763 | − | 0.311055i | −0.205815 | − | 0.978591i | \(-0.565984\pi\) |
0.744577 | + | 0.667536i | \(0.232651\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −397.578 | −0.918194 | −0.459097 | − | 0.888386i | \(-0.651827\pi\) | ||||
−0.459097 | + | 0.888386i | \(0.651827\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1113.59 | −2.55999 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 71.2854 | − | 41.1566i | 0.163124 | − | 0.0941799i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 168.717 | + | 97.4090i | 0.384322 | + | 0.221888i | 0.679697 | − | 0.733493i | \(-0.262111\pi\) |
−0.295375 | + | 0.955381i | \(0.595445\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.4873 | − | 0.308002i | −0.0396537 | − | 0.000698417i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −47.3631 | + | 82.0352i | −0.106914 | + | 0.185181i | −0.914519 | − | 0.404544i | \(-0.867430\pi\) |
0.807604 | + | 0.589725i | \(0.200764\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 15.9243 | − | 9.19391i | 0.0357850 | − | 0.0206605i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 365.667i | 0.818046i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 212.378 | 0.473003 | 0.236502 | − | 0.971631i | \(-0.423999\pi\) | ||||
0.236502 | + | 0.971631i | \(0.423999\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.1247 | + | 24.4648i | 0.0313187 | + | 0.0542456i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 273.120 | + | 157.686i | 0.602915 | + | 0.348093i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 124.061 | + | 219.317i | 0.272662 | + | 0.482016i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −109.467 | + | 189.602i | −0.239534 | + | 0.414884i | −0.960581 | − | 0.278002i | \(-0.910328\pi\) |
0.721047 | + | 0.692886i | \(0.243661\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −319.605 | − | 553.571i | −0.696306 | − | 1.20604i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 311.878i | − | 0.676525i | −0.941052 | − | 0.338263i | \(-0.890161\pi\) | ||
0.941052 | − | 0.338263i | \(-0.109839\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 219.733i | − | 0.474586i | −0.971438 | − | 0.237293i | \(-0.923740\pi\) | ||
0.971438 | − | 0.237293i | \(-0.0762601\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 397.539 | + | 688.558i | 0.854923 | + | 1.48077i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 43.0338 | − | 74.5368i | 0.0921496 | − | 0.159608i | −0.816266 | − | 0.577676i | \(-0.803960\pi\) |
0.908415 | + | 0.418069i | \(0.137293\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 298.395 | + | 2.62759i | 0.636236 | + | 0.00560255i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 272.698 | + | 157.442i | 0.578976 | + | 0.334272i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −18.6397 | − | 32.2849i | −0.0394073 | − | 0.0682555i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 287.776 | 0.605845 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 21.9347i | 0.0459847i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −125.523 | + | 72.4708i | −0.262052 | + | 0.151296i | −0.625270 | − | 0.780408i | \(-0.715011\pi\) |
0.363218 | + | 0.931704i | \(0.381678\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 26.9210 | − | 46.6286i | 0.0559689 | − | 0.0969409i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 263.579 | + | 155.288i | 0.545712 | + | 0.321507i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 308.770 | + | 178.268i | 0.636639 | + | 0.367564i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −410.200 | + | 236.829i | −0.842300 | + | 0.486302i | −0.858045 | − | 0.513574i | \(-0.828321\pi\) |
0.0157454 | + | 0.999876i | \(0.494988\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −590.202 | −1.20696 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 895.083 | 1.82298 | 0.911490 | − | 0.411322i | \(-0.134933\pi\) | ||||
0.911490 | + | 0.411322i | \(0.134933\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −868.831 | + | 501.620i | −1.76233 | + | 1.01748i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.94103 | + | 5.16211i | 0.0180627 | + | 0.0104285i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 646.262 | + | 380.746i | 1.30033 | + | 0.766089i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −379.515 | + | 657.339i | −0.760551 | + | 1.31731i | 0.182016 | + | 0.983296i | \(0.441738\pi\) |
−0.942567 | + | 0.334017i | \(0.891596\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 529.394 | − | 305.646i | 1.05667 | − | 0.610072i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 802.733i | 1.59589i | 0.602730 | + | 0.797945i | \(0.294080\pi\) | ||||
−0.602730 | + | 0.797945i | \(0.705920\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −247.490 | −0.490080 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 223.677 | + | 387.420i | 0.441177 | + | 0.764142i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 617.270 | + | 356.381i | 1.21271 | + | 0.700159i | 0.963349 | − | 0.268251i | \(-0.0864458\pi\) |
0.249362 | + | 0.968410i | \(0.419779\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −252.110 | − | 2.22002i | −0.493366 | − | 0.00434446i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 76.1603 | − | 131.914i | 0.148461 | − | 0.257141i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −378.063 | − | 654.824i | −0.734102 | − | 1.27150i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 121.471i | 0.234954i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 639.518i | − | 1.23221i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 410.672 | + | 711.305i | 0.788238 | + | 1.36527i | 0.927046 | + | 0.374949i | \(0.122340\pi\) |
−0.138808 | + | 0.990319i | \(0.544327\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −237.335 | + | 411.077i | −0.453796 | + | 0.785998i | −0.998618 | − | 0.0525541i | \(-0.983264\pi\) |
0.544822 | + | 0.838552i | \(0.316597\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 526.592 | + | 930.919i | 1.00303 | + | 1.77318i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 620.323 | + | 358.144i | 1.17708 | + | 0.679589i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −154.009 | − | 266.751i | −0.291132 | − | 0.504256i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −22.3697 | −0.0421274 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 35.1565i | 0.0659597i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −488.816 | + | 282.218i | −0.913674 | + | 0.527510i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 68.2270 | − | 118.173i | 0.127052 | − | 0.220061i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −83.2239 | + | 138.458i | −0.154404 | + | 0.256880i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 349.210 | + | 201.616i | 0.645489 | + | 0.372673i | 0.786726 | − | 0.617303i | \(-0.211775\pi\) |
−0.141237 | + | 0.989976i | \(0.545108\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −630.202 | + | 363.847i | −1.16059 | + | 0.670069i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −1011.87 | −1.85664 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −623.273 | −1.13944 | −0.569719 | − | 0.821839i | \(-0.692948\pi\) | ||||
−0.569719 | + | 0.821839i | \(0.692948\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 12.2652 | − | 7.08134i | 0.0223411 | − | 0.0128986i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −207.038 | − | 119.534i | −0.375750 | − | 0.216940i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 255.402 | − | 144.473i | 0.461848 | − | 0.261253i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 169.237 | − | 293.127i | 0.304932 | − | 0.528157i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 19.3784 | − | 11.1881i | 0.0347906 | − | 0.0200864i | −0.482504 | − | 0.875894i | \(-0.660273\pi\) |
0.517294 | + | 0.855808i | \(0.326939\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 46.3942i | − | 0.0829950i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −225.221 | −0.401463 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −155.749 | − | 269.766i | −0.276642 | − | 0.479157i | 0.693906 | − | 0.720065i | \(-0.255888\pi\) |
−0.970548 | + | 0.240908i | \(0.922555\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1529.70 | − | 883.171i | −2.70743 | − | 1.56314i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 543.600 | + | 4.78681i | 0.958730 | + | 0.00844235i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −245.668 | + | 425.509i | −0.431754 | + | 0.747820i | −0.997024 | − | 0.0770859i | \(-0.975438\pi\) |
0.565271 | + | 0.824906i | \(0.308772\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −332.451 | − | 575.821i | −0.582225 | − | 1.00844i | −0.995215 | − | 0.0977080i | \(-0.968849\pi\) |
0.412990 | − | 0.910736i | \(-0.364484\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 937.543i | 1.63620i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 772.578i | 1.34361i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −381.078 | − | 660.047i | −0.660448 | − | 1.14393i | −0.980498 | − | 0.196528i | \(-0.937033\pi\) |
0.320051 | − | 0.947400i | \(-0.396300\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 455.318 | − | 788.634i | 0.786387 | − | 1.36206i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 311.978 | − | 529.539i | 0.536968 | − | 0.911427i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 175.456 | + | 101.299i | 0.300953 | + | 0.173756i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 6.42425 | + | 11.1271i | 0.0109816 | + | 0.0190207i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −551.907 | −0.940216 | −0.470108 | − | 0.882609i | \(-0.655785\pi\) | ||||
−0.470108 | + | 0.882609i | \(0.655785\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 170.688i | 0.289793i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 402.194 | − | 232.207i | 0.680532 | − | 0.392905i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 417.977 | − | 723.958i | 0.704852 | − | 1.22084i | −0.261892 | − | 0.965097i | \(-0.584347\pi\) |
0.966745 | − | 0.255743i | \(-0.0823201\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1229.53 | + | 724.378i | 2.06643 | + | 1.21744i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 49.5687 | + | 28.6185i | 0.0830297 | + | 0.0479372i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 226.579 | − | 130.816i | 0.378263 | − | 0.218390i | −0.298799 | − | 0.954316i | \(-0.596586\pi\) |
0.677062 | + | 0.735926i | \(0.263253\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 731.253 | 1.21673 | 0.608364 | − | 0.793658i | \(-0.291826\pi\) | ||||
0.608364 | + | 0.793658i | \(0.291826\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 15.2161 | 0.0252340 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −836.766 | + | 483.107i | −1.38308 | + | 0.798524i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.5201 | + | 6.07378i | 0.0173313 | + | 0.0100062i | 0.508641 | − | 0.860979i | \(-0.330148\pi\) |
−0.491309 | + | 0.870985i | \(0.663482\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 7.82368 | − | 888.472i | 0.0128468 | − | 1.45890i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −75.5855 | + | 130.918i | −0.123708 | + | 0.214268i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1045.72 | + | 603.744i | −1.70590 | + | 0.984900i | −0.766388 | + | 0.642378i | \(0.777948\pi\) |
−0.939510 | + | 0.342522i | \(0.888719\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 221.009i | 0.359364i | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 48.0515 | 0.0778792 | 0.0389396 | − | 0.999242i | \(-0.487602\pi\) | ||||
0.0389396 | + | 0.999242i | \(0.487602\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 73.8783 | + | 127.961i | 0.119351 | + | 0.206722i | 0.919511 | − | 0.393065i | \(-0.128585\pi\) |
−0.800160 | + | 0.599787i | \(0.795252\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 354.141 | + | 204.464i | 0.570276 | + | 0.329249i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 7.22340 | + | 12.7697i | 0.0115945 | + | 0.0204971i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −388.368 | + | 672.673i | −0.621389 | + | 1.07628i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −26.8345 | − | 46.4788i | −0.0427983 | − | 0.0741288i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 304.932i | − | 0.484788i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 912.286i | − | 1.44578i | −0.690964 | − | 0.722889i | \(-0.742814\pi\) | ||
0.690964 | − | 0.722889i | \(-0.257186\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 289.980 | + | 502.261i | 0.458105 | + | 0.793461i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −463.562 | + | 802.913i | −0.730019 | + | 1.26443i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −175.852 | + | 97.4402i | −0.276063 | + | 0.152967i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 33.1234 | + | 19.1238i | 0.0518363 | + | 0.0299277i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −286.819 | − | 496.784i | −0.447455 | − | 0.775015i | 0.550765 | − | 0.834661i | \(-0.314336\pi\) |
−0.998220 | + | 0.0596460i | \(0.981003\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 197.633 | 0.307360 | 0.153680 | − | 0.988121i | \(-0.450887\pi\) | ||||
0.153680 | + | 0.988121i | \(0.450887\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 291.654i | − | 0.452176i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −869.817 | + | 502.189i | −1.34439 | + | 0.776181i | −0.987448 | − | 0.157947i | \(-0.949513\pi\) |
−0.356938 | + | 0.934128i | \(0.616179\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −103.308 | + | 178.935i | −0.159180 | + | 0.275709i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −552.153 | + | 312.336i | −0.848162 | + | 0.479778i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −374.151 | − | 216.016i | −0.572973 | − | 0.330806i | 0.185363 | − | 0.982670i | \(-0.440654\pi\) |
−0.758336 | + | 0.651864i | \(0.773987\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1243.25 | − | 717.793i | 1.89810 | − | 1.09587i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −12.8559 | −0.0195676 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −222.867 | −0.338190 | −0.169095 | − | 0.985600i | \(-0.554084\pi\) | ||||
−0.169095 | + | 0.985600i | \(0.554084\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 635.382 | − | 366.838i | 0.961243 | − | 0.554974i | 0.0646877 | − | 0.997906i | \(-0.479395\pi\) |
0.896555 | + | 0.442932i | \(0.146062\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −242.736 | − | 140.144i | −0.366118 | − | 0.211378i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.99436 | + | 340.045i | −0.00450280 | + | 0.511347i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 320.906 | − | 555.825i | 0.481118 | − | 0.833321i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −671.031 | + | 387.420i | −1.00304 | + | 0.579103i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 130.813i | − | 0.194952i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 331.486 | 0.492550 | 0.246275 | − | 0.969200i | \(-0.420793\pi\) | ||||
0.246275 | + | 0.969200i | \(0.420793\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 714.828 | + | 1238.12i | 1.05900 | + | 1.83425i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 893.931 | + | 516.111i | 1.32043 | + | 0.762350i | 0.983797 | − | 0.179286i | \(-0.0573786\pi\) |
0.336633 | + | 0.941636i | \(0.390712\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −144.399 | + | 245.097i | −0.212665 | + | 0.360968i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −142.732 | + | 247.218i | −0.209591 | + | 0.363023i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 82.4745 | + | 142.850i | 0.120753 | + | 0.209151i | 0.920065 | − | 0.391766i | \(-0.128136\pi\) |
−0.799312 | + | 0.600917i | \(0.794802\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 280.990i | − | 0.410204i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 404.143i | 0.588272i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 126.067 | + | 218.355i | 0.182972 | + | 0.316916i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 302.018 | − | 523.111i | 0.437074 | − | 0.757034i | −0.560389 | − | 0.828230i | \(-0.689348\pi\) |
0.997462 | + | 0.0711958i | \(0.0226815\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.18136 | + | 7.09726i | −0.00603371 | + | 0.0102414i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −206.894 | − | 119.450i | −0.297689 | − | 0.171871i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 99.5536 | + | 172.432i | 0.142832 | + | 0.247392i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −403.716 | −0.577563 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 307.326i | − | 0.438410i | −0.975679 | − | 0.219205i | \(-0.929654\pi\) | ||
0.975679 | − | 0.219205i | \(-0.0703464\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 62.9287 | − | 36.3319i | 0.0895145 | − | 0.0516812i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −475.163 | + | 823.006i | −0.673990 | + | 1.16738i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.73877 | − | 197.458i | 0.00245936 | − | 0.279290i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −568.779 | − | 328.385i | −0.802228 | − | 0.463166i | 0.0420218 | − | 0.999117i | \(-0.486620\pi\) |
−0.844250 | + | 0.535950i | \(0.819953\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 12.9579 | − | 7.48125i | 0.0182249 | − | 0.0105222i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −458.237 | −0.642689 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 118.675 | 0.165978 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 828.239 | − | 478.184i | 1.15514 | − | 0.666923i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1047.32 | + | 604.668i | 1.45663 | + | 0.840984i | 0.998844 | − | 0.0480788i | \(-0.0153099\pi\) |
0.457784 | + | 0.889063i | \(0.348643\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 525.102 | − | 297.034i | 0.728297 | − | 0.411975i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 373.130 | − | 646.281i | 0.516086 | − | 0.893887i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1943.23 | − | 1121.92i | 2.68031 | − | 1.54748i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 1199.28i | − | 1.64963i | −0.565404 | − | 0.824814i | \(-0.691280\pi\) | ||
0.565404 | − | 0.824814i | \(-0.308720\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 755.573 | 1.03645 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −131.376 | − | 227.549i | −0.179720 | − | 0.311285i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 495.767 | + | 286.231i | 0.676354 | + | 0.390493i | 0.798480 | − | 0.602022i | \(-0.205638\pi\) |
−0.122126 | + | 0.992515i | \(0.538971\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1105.48 | + | 612.551i | −1.50406 | + | 0.833402i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 70.2714 | − | 121.714i | 0.0953479 | − | 0.165147i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −437.226 | − | 757.297i | −0.591645 | − | 1.02476i | −0.994011 | − | 0.109280i | \(-0.965145\pi\) |
0.402366 | − | 0.915479i | \(-0.368188\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 66.7912i | − | 0.0901366i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 63.9768i | 0.0861061i | 0.999073 | + | 0.0430530i | \(0.0137084\pi\) | ||||
−0.999073 | + | 0.0430530i | \(0.986292\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −545.615 | − | 945.032i | −0.732369 | − | 1.26850i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 15.6698 | − | 27.1409i | 0.0209770 | − | 0.0363332i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −221.731 | − | 391.980i | −0.296036 | − | 0.523338i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −498.130 | − | 287.595i | −0.663289 | − | 0.382950i | 0.130240 | − | 0.991482i | \(-0.458425\pi\) |
−0.793529 | + | 0.608533i | \(0.791758\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −283.552 | − | 491.127i | −0.376564 | − | 0.652227i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −941.140 | −1.24654 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 130.657i | 0.172598i | 0.996269 | + | 0.0862989i | \(0.0275040\pi\) | ||||
−0.996269 | + | 0.0862989i | \(0.972496\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 124.779 | − | 72.0412i | 0.164399 | − | 0.0949160i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −59.2992 | + | 102.709i | −0.0779228 | + | 0.134966i | −0.902354 | − | 0.430997i | \(-0.858162\pi\) |
0.824431 | + | 0.565963i | \(0.191495\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.10898 | − | 807.310i | 0.00931715 | − | 1.05807i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 63.0179 | + | 36.3834i | 0.0823764 | + | 0.0475600i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −222.685 | + | 128.567i | −0.290332 | + | 0.167623i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1145.31 | 1.48935 | 0.744674 | − | 0.667429i | \(-0.232605\pi\) | ||||
0.744674 | + | 0.667429i | \(0.232605\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −98.7724 | −0.128109 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 548.098 | − | 316.445i | 0.709053 | − | 0.409372i | −0.101657 | − | 0.994819i | \(-0.532415\pi\) |
0.810710 | + | 0.585447i | \(0.199081\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1387.41 | − | 801.024i | −1.79021 | − | 1.03358i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 232.680 | + | 137.084i | 0.299459 | + | 0.176427i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −23.7232 | + | 41.0898i | −0.0304534 | + | 0.0527468i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 305.943 | − | 176.636i | 0.391732 | − | 0.226167i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 1187.67i | − | 1.51682i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −939.684 | −1.19705 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −46.8023 | − | 81.0639i | −0.0594692 | − | 0.103004i | 0.834758 | − | 0.550617i | \(-0.185607\pi\) |
−0.894227 | + | 0.447613i | \(0.852274\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −934.276 | − | 539.405i | −1.18413 | − | 0.683656i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 715.378 | − | 1214.25i | 0.904397 | − | 1.53508i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 81.3985 | − | 140.986i | 0.102646 | − | 0.177789i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 792.513 | + | 1372.67i | 0.996872 | + | 1.72663i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 214.365i | 0.268965i | 0.990916 | + | 0.134483i | \(0.0429372\pi\) | ||||
−0.990916 | + | 0.134483i | \(0.957063\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 856.150i | 1.07153i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.374050 | + | 0.647873i | 0.000466978 | + | 0.000808830i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −59.3714 | + | 102.834i | −0.0739370 | + | 0.128063i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −912.902 | − | 8.03880i | −1.13404 | − | 0.00998609i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 267.452 | + | 154.413i | 0.331415 | + | 0.191343i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 136.449 | + | 236.336i | 0.168663 | + | 0.292133i | 0.937950 | − | 0.346770i | \(-0.112722\pi\) |
−0.769287 | + | 0.638904i | \(0.779388\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1339.86 | 1.65211 | 0.826054 | − | 0.563592i | \(-0.190581\pi\) | ||||
0.826054 | + | 0.563592i | \(0.190581\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 775.157i | 0.953452i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1525.32 | − | 880.646i | 1.87156 | − | 1.08055i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 31.3062 | − | 54.2240i | 0.0383185 | − | 0.0663696i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −8.92282 | + | 5.04736i | −0.0108948 | + | 0.00616283i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −586.088 | − | 338.378i | −0.713871 | − | 0.412154i | 0.0986214 | − | 0.995125i | \(-0.468557\pi\) |
−0.812493 | + | 0.582971i | \(0.801890\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −984.303 | + | 568.288i | −1.19599 | + | 0.690507i | −0.959660 | − | 0.281164i | \(-0.909279\pi\) |
−0.236334 | + | 0.971672i | \(0.575946\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 503.728 | 0.610580 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1140.05 | 1.37854 | 0.689269 | − | 0.724506i | \(-0.257932\pi\) | ||||
0.689269 | + | 0.724506i | \(0.257932\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 898.011 | − | 518.467i | 1.08325 | − | 0.625413i | 0.151476 | − | 0.988461i | \(-0.451597\pi\) |
0.931770 | + | 0.363048i | \(0.118264\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 708.467 | + | 409.034i | 0.852548 | + | 0.492219i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −586.577 | + | 975.879i | −0.704174 | + | 1.17152i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −912.114 | + | 1579.83i | −1.09235 | + | 1.89201i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −734.361 | + | 423.984i | −0.877373 | + | 0.506552i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 1330.82i | 1.58620i | 0.609091 | + | 0.793100i | \(0.291534\pi\) | ||||
−0.609091 | + | 0.793100i | \(0.708466\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1023.05 | −1.21647 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −588.346 | − | 1019.04i | −0.697919 | − | 1.20883i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1156.15 | − | 667.501i | −1.36822 | − | 0.789942i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −379.564 | − | 671.001i | −0.448128 | − | 0.792209i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 281.746 | − | 487.999i | 0.331857 | − | 0.574793i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 97.5384 | + | 168.941i | 0.114616 | + | 0.198521i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 1325.15i | − | 1.55352i | −0.629798 | − | 0.776759i | \(-0.716862\pi\) | ||
0.629798 | − | 0.776759i | \(-0.283138\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 17.3400i | 0.0202807i | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −18.5345 | − | 32.1027i | −0.0216272 | − | 0.0374594i | 0.855009 | − | 0.518613i | \(-0.173551\pi\) |
−0.876636 | + | 0.481153i | \(0.840218\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −125.970 | + | 218.187i | −0.146648 | + | 0.254001i | −0.929986 | − | 0.367594i | \(-0.880182\pi\) |
0.783339 | + | 0.621595i | \(0.213515\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −176.330 | − | 1.55272i | −0.204797 | − | 0.00180339i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −1443.94 | − | 833.661i | −1.67317 | − | 0.966004i | −0.965848 | − | 0.259111i | \(-0.916570\pi\) |
−0.707321 | − | 0.706893i | \(-0.750096\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 954.231 | + | 1652.78i | 1.10316 | + | 1.91072i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −737.761 | −0.850935 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 138.200i | − | 0.159034i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 151.473 | − | 87.4530i | 0.173907 | − | 0.100405i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −7.25276 | + | 12.5622i | −0.00830786 | + | 0.0143896i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1427.14 | − | 840.798i | −1.63101 | − | 0.960913i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 214.659 | + | 123.934i | 0.244765 | + | 0.141315i | 0.617365 | − | 0.786677i | \(-0.288200\pi\) |
−0.372600 | + | 0.927992i | \(0.621533\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −86.0052 | + | 49.6551i | −0.0978443 | + | 0.0564905i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1130.22 | 1.28288 | 0.641440 | − | 0.767173i | \(-0.278337\pi\) | ||||
0.641440 | + | 0.767173i | \(0.278337\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.7432 | −0.0121667 | −0.00608335 | − | 0.999981i | \(-0.501936\pi\) | ||||
−0.00608335 | + | 0.999981i | \(0.501936\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1399.89 | + | 808.228i | −1.58180 | + | 0.913252i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 776.894 | + | 448.540i | 0.875866 | + | 0.505682i | 0.869293 | − | 0.494297i | \(-0.164574\pi\) |
0.00657316 | + | 0.999978i | \(0.497908\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −637.340 | − | 375.490i | −0.716918 | − | 0.422373i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 128.017 | − | 221.732i | 0.143678 | − | 0.248857i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −176.684 | + | 102.008i | −0.197854 | + | 0.114231i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 407.209i | 0.454982i | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 179.311 | 0.199901 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 665.443 | + | 1152.58i | 0.740203 | + | 1.28207i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1236.64 | + | 713.976i | 1.37252 | + | 0.792427i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 232.694 | + | 2.04905i | 0.257689 | + | 0.00226915i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1085.80 | − | 1880.66i | 1.19978 | − | 2.07808i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 837.264 | + | 1450.18i | 0.923114 | + | 1.59888i | 0.794567 | + | 0.607176i | \(0.207698\pi\) |
0.128547 | + | 0.991703i | \(0.458969\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | − | 10.0690i | − | 0.0110770i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 910.733i | 0.999707i | 0.866110 | + | 0.499853i | \(0.166613\pi\) | ||||
−0.866110 | + | 0.499853i | \(0.833387\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −144.733 | − | 250.685i | −0.158525 | − | 0.274573i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 511.706 | − | 886.300i | 0.559241 | − | 0.968634i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 563.950 | + | 996.962i | 0.614995 | + | 1.08720i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1107.77 | + | 639.571i | 1.20541 | + | 0.695943i | 0.961753 | − | 0.273919i | \(-0.0883201\pi\) |
0.243655 | + | 0.969862i | \(0.421653\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −725.986 | − | 1257.45i | −0.788259 | − | 1.36530i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 439.648 | 0.476325 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 682.010i | 0.737308i | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 26.6412 | − | 15.3813i | 0.0287392 | − | 0.0165926i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −14.0674 | + | 24.3654i | −0.0151425 | + | 0.0262276i | −0.873497 | − | 0.486829i | \(-0.838154\pi\) |
0.858355 | + | 0.513056i | \(0.171487\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −271.281 | − | 4.77805i | −0.291387 | − | 0.00513217i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1331.75 | + | 768.884i | 1.42738 | + | 0.824099i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 582.062 | − | 336.054i | 0.622526 | − | 0.359416i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1165.92 | −1.24431 | −0.622154 | − | 0.782895i | \(-0.713742\pi\) | ||||
−0.622154 | + | 0.782895i | \(0.713742\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 445.023 | 0.473933 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −766.535 | + | 442.559i | −0.814596 | + | 0.470307i | −0.848549 | − | 0.529116i | \(-0.822524\pi\) |
0.0339534 | + | 0.999423i | \(0.489190\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −110.312 | − | 63.6884i | −0.116979 | − | 0.0675381i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −1470.44 | + | 831.780i | −1.55602 | + | 0.880190i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 748.589 | − | 1296.59i | 0.790485 | − | 1.36916i | −0.135183 | − | 0.990821i | \(-0.543162\pi\) |
0.925667 | − | 0.378339i | \(-0.123505\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −127.978 | + | 73.8878i | −0.134855 | + | 0.0778586i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 1.27332i | − | 0.00133892i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.14896 | 0.00330426 | 0.00165213 | − | 0.999999i | \(-0.499474\pi\) | ||||
0.00165213 | + | 0.999999i | \(0.499474\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1398.92 | − | 2422.99i | −1.46483 | − | 2.53717i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −362.403 | − | 209.234i | −0.378687 | − | 0.218635i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 224.185 | + | 1.97412i | 0.233770 | + | 0.00205852i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.39103 | + | 9.33753i | −0.00560981 | + | 0.00971647i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −11.4819 | − | 19.8872i | −0.0119230 | − | 0.0206513i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 2717.54i | 2.81610i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 1451.63i | − | 1.50117i | −0.660775 | − | 0.750584i | \(-0.729772\pi\) | ||
0.660775 | − | 0.750584i | \(-0.270228\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −189.134 | − | 327.590i | −0.195185 | − | 0.338071i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −580.527 | + | 1005.50i | −0.597865 | + | 1.03553i | 0.395271 | + | 0.918565i | \(0.370651\pi\) |
−0.993136 | + | 0.116968i | \(0.962683\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 96.7559 | − | 164.229i | 0.0994408 | − | 0.168786i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 542.904 | + | 313.446i | 0.556824 | + | 0.321483i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 288.919 | + | 500.422i | 0.295720 | + | 0.512202i | 0.975152 | − | 0.221536i | \(-0.0711071\pi\) |
−0.679432 | + | 0.733738i | \(0.737774\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.90978 | 0.00705800 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 41.1673i | − | 0.0419647i | ||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1086.94 | + | 627.545i | −1.10574 | + | 0.638398i | −0.937722 | − | 0.347386i | \(-0.887069\pi\) |
−0.168016 | + | 0.985784i | \(0.553736\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −692.956 | + | 1200.24i | −0.703509 | + | 1.21851i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −653.290 | − | 384.887i | −0.661895 | − | 0.389956i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 145.572 | + | 84.0462i | 0.147191 | + | 0.0849810i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −814.150 | + | 470.049i | −0.821543 | + | 0.474318i | −0.850948 | − | 0.525249i | \(-0.823972\pi\) |
0.0294050 | + | 0.999568i | \(0.490639\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −420.120 | −0.423081 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −170.808 | −0.171666 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −195.863 | + | 113.082i | −0.196452 | + | 0.113422i | −0.595000 | − | 0.803726i | \(-0.702848\pi\) |
0.398547 | + | 0.917148i | \(0.369514\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 312.626 | + | 180.495i | 0.312939 | + | 0.180675i |
(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 | 224.3.o.c.79.5 | 12 | ||
4.3 | odd | 2 | 56.3.k.c.51.3 | yes | 12 | ||
7.2 | even | 3 | 1568.3.g.k.687.2 | 6 | |||
7.4 | even | 3 | inner | 224.3.o.c.207.6 | 12 | ||
7.5 | odd | 6 | 1568.3.g.i.687.5 | 6 | |||
8.3 | odd | 2 | inner | 224.3.o.c.79.6 | 12 | ||
8.5 | even | 2 | 56.3.k.c.51.2 | yes | 12 | ||
28.3 | even | 6 | 392.3.k.k.67.2 | 12 | |||
28.11 | odd | 6 | 56.3.k.c.11.2 | ✓ | 12 | ||
28.19 | even | 6 | 392.3.g.l.99.5 | 6 | |||
28.23 | odd | 6 | 392.3.g.k.99.5 | 6 | |||
28.27 | even | 2 | 392.3.k.k.275.3 | 12 | |||
56.5 | odd | 6 | 392.3.g.l.99.6 | 6 | |||
56.11 | odd | 6 | inner | 224.3.o.c.207.5 | 12 | ||
56.13 | odd | 2 | 392.3.k.k.275.2 | 12 | |||
56.19 | even | 6 | 1568.3.g.i.687.6 | 6 | |||
56.37 | even | 6 | 392.3.g.k.99.6 | 6 | |||
56.45 | odd | 6 | 392.3.k.k.67.3 | 12 | |||
56.51 | odd | 6 | 1568.3.g.k.687.1 | 6 | |||
56.53 | even | 6 | 56.3.k.c.11.3 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
56.3.k.c.11.2 | ✓ | 12 | 28.11 | odd | 6 | ||
56.3.k.c.11.3 | yes | 12 | 56.53 | even | 6 | ||
56.3.k.c.51.2 | yes | 12 | 8.5 | even | 2 | ||
56.3.k.c.51.3 | yes | 12 | 4.3 | odd | 2 | ||
224.3.o.c.79.5 | 12 | 1.1 | even | 1 | trivial | ||
224.3.o.c.79.6 | 12 | 8.3 | odd | 2 | inner | ||
224.3.o.c.207.5 | 12 | 56.11 | odd | 6 | inner | ||
224.3.o.c.207.6 | 12 | 7.4 | even | 3 | inner | ||
392.3.g.k.99.5 | 6 | 28.23 | odd | 6 | |||
392.3.g.k.99.6 | 6 | 56.37 | even | 6 | |||
392.3.g.l.99.5 | 6 | 28.19 | even | 6 | |||
392.3.g.l.99.6 | 6 | 56.5 | odd | 6 | |||
392.3.k.k.67.2 | 12 | 28.3 | even | 6 | |||
392.3.k.k.67.3 | 12 | 56.45 | odd | 6 | |||
392.3.k.k.275.2 | 12 | 56.13 | odd | 2 | |||
392.3.k.k.275.3 | 12 | 28.27 | even | 2 | |||
1568.3.g.i.687.5 | 6 | 7.5 | odd | 6 | |||
1568.3.g.i.687.6 | 6 | 56.19 | even | 6 | |||
1568.3.g.k.687.1 | 6 | 56.51 | odd | 6 | |||
1568.3.g.k.687.2 | 6 | 7.2 | even | 3 |