Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(163,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.163");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.g (of order \(3\), 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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 487.2 | ||
Root | \(0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.487 |
Dual form | 1134.2.g.j.163.2 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.62132 | + | 2.09077i | 0.612801 | + | 0.790237i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.12132 | + | 3.67423i | −0.639602 | + | 1.10782i | 0.345918 | + | 0.938265i | \(0.387568\pi\) |
−0.985520 | + | 0.169559i | \(0.945766\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.24264 | −0.621997 | −0.310998 | − | 0.950410i | \(-0.600663\pi\) | ||||
−0.310998 | + | 0.950410i | \(0.600663\pi\) | |||||||
\(14\) | −1.00000 | + | 2.44949i | −0.267261 | + | 0.654654i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.12132 | + | 1.94218i | 0.257249 | + | 0.445568i | 0.965504 | − | 0.260389i | \(-0.0838508\pi\) |
−0.708255 | + | 0.705956i | \(0.750517\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.24264 | −0.904534 | ||||||||
\(23\) | −0.621320 | − | 1.07616i | −0.129554 | − | 0.224395i | 0.793950 | − | 0.607983i | \(-0.208021\pi\) |
−0.923504 | + | 0.383589i | \(0.874688\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.50000 | − | 4.33013i | 0.500000 | − | 0.866025i | ||||
\(26\) | −1.12132 | − | 1.94218i | −0.219909 | − | 0.380894i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.62132 | + | 0.358719i | −0.495383 | + | 0.0677916i | ||||
\(29\) | −4.24264 | −0.787839 | −0.393919 | − | 0.919145i | \(-0.628881\pi\) | ||||
−0.393919 | + | 0.919145i | \(0.628881\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.62132 | + | 8.00436i | −0.830014 | + | 1.43763i | 0.0680129 | + | 0.997684i | \(0.478334\pi\) |
−0.898027 | + | 0.439941i | \(0.854999\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.00000 | + | 3.46410i | 0.328798 | + | 0.569495i | 0.982274 | − | 0.187453i | \(-0.0600231\pi\) |
−0.653476 | + | 0.756948i | \(0.726690\pi\) | |||||||
\(38\) | −1.12132 | + | 1.94218i | −0.181902 | + | 0.315064i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −11.4853 | −1.79370 | −0.896850 | − | 0.442335i | \(-0.854150\pi\) | ||||
−0.896850 | + | 0.442335i | \(0.854150\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.4853 | 1.59899 | 0.799495 | − | 0.600672i | \(-0.205100\pi\) | ||||
0.799495 | + | 0.600672i | \(0.205100\pi\) | |||||||
\(44\) | −2.12132 | − | 3.67423i | −0.319801 | − | 0.553912i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.621320 | − | 1.07616i | 0.0916087 | − | 0.158671i | ||||
\(47\) | 2.37868 | + | 4.11999i | 0.346966 | + | 0.600963i | 0.985709 | − | 0.168457i | \(-0.0538786\pi\) |
−0.638743 | + | 0.769420i | \(0.720545\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.74264 | + | 6.77962i | −0.248949 | + | 0.968517i | ||||
\(50\) | 5.00000 | 0.707107 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.12132 | − | 1.94218i | 0.155499 | − | 0.269332i | ||||
\(53\) | −2.12132 | + | 3.67423i | −0.291386 | + | 0.504695i | −0.974138 | − | 0.225955i | \(-0.927450\pi\) |
0.682752 | + | 0.730650i | \(0.260783\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.62132 | − | 2.09077i | −0.216658 | − | 0.279391i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.12132 | − | 3.67423i | −0.278543 | − | 0.482451i | ||||
\(59\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.12132 | + | 1.94218i | 0.143570 | + | 0.248671i | 0.928839 | − | 0.370484i | \(-0.120808\pi\) |
−0.785268 | + | 0.619156i | \(0.787475\pi\) | |||||||
\(62\) | −9.24264 | −1.17382 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.121320 | + | 0.210133i | −0.0148216 | + | 0.0256718i | −0.873341 | − | 0.487109i | \(-0.838051\pi\) |
0.858519 | + | 0.512781i | \(0.171385\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.24264 | −0.147474 | −0.0737372 | − | 0.997278i | \(-0.523493\pi\) | ||||
−0.0737372 | + | 0.997278i | \(0.523493\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.50000 | − | 6.06218i | 0.409644 | − | 0.709524i | −0.585206 | − | 0.810885i | \(-0.698986\pi\) |
0.994850 | + | 0.101361i | \(0.0323196\pi\) | |||||||
\(74\) | −2.00000 | + | 3.46410i | −0.232495 | + | 0.402694i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.24264 | −0.257249 | ||||||||
\(77\) | −11.1213 | + | 1.52192i | −1.26739 | + | 0.173439i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.378680 | − | 0.655892i | −0.0426048 | − | 0.0737937i | 0.843937 | − | 0.536443i | \(-0.180232\pi\) |
−0.886541 | + | 0.462649i | \(0.846899\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.74264 | − | 9.94655i | −0.634169 | − | 1.09841i | ||||
\(83\) | −16.2426 | −1.78286 | −0.891431 | − | 0.453157i | \(-0.850298\pi\) | ||||
−0.891431 | + | 0.453157i | \(0.850298\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 5.24264 | + | 9.08052i | 0.565328 | + | 0.979178i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.12132 | − | 3.67423i | 0.226134 | − | 0.391675i | ||||
\(89\) | 5.74264 | + | 9.94655i | 0.608719 | + | 1.05433i | 0.991452 | + | 0.130473i | \(0.0416495\pi\) |
−0.382733 | + | 0.923859i | \(0.625017\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.63604 | − | 4.68885i | −0.381160 | − | 0.491525i | ||||
\(92\) | 1.24264 | 0.129554 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.37868 | + | 4.11999i | −0.245342 | + | 0.424945i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.48528 | 0.455411 | 0.227706 | − | 0.973730i | \(-0.426878\pi\) | ||||
0.227706 | + | 0.973730i | \(0.426878\pi\) | |||||||
\(98\) | −6.74264 | + | 1.88064i | −0.681110 | + | 0.189973i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.50000 | + | 4.33013i | 0.250000 | + | 0.433013i | ||||
\(101\) | 8.12132 | − | 14.0665i | 0.808102 | − | 1.39967i | −0.106076 | − | 0.994358i | \(-0.533829\pi\) |
0.914177 | − | 0.405315i | \(-0.132838\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.62132 | − | 8.00436i | −0.455352 | − | 0.788693i | 0.543356 | − | 0.839502i | \(-0.317153\pi\) |
−0.998708 | + | 0.0508091i | \(0.983820\pi\) | |||||||
\(104\) | 2.24264 | 0.219909 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.24264 | −0.412082 | ||||||||
\(107\) | 7.24264 | + | 12.5446i | 0.700173 | + | 1.21273i | 0.968406 | + | 0.249380i | \(0.0802269\pi\) |
−0.268233 | + | 0.963354i | \(0.586440\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.12132 | + | 5.40629i | −0.298968 | + | 0.517828i | −0.975900 | − | 0.218217i | \(-0.929976\pi\) |
0.676932 | + | 0.736046i | \(0.263309\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.00000 | − | 2.44949i | 0.0944911 | − | 0.231455i | ||||
\(113\) | 3.51472 | 0.330637 | 0.165318 | − | 0.986240i | \(-0.447135\pi\) | ||||
0.165318 | + | 0.986240i | \(0.447135\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 2.12132 | − | 3.67423i | 0.196960 | − | 0.341144i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.50000 | − | 6.06218i | −0.318182 | − | 0.551107i | ||||
\(122\) | −1.12132 | + | 1.94218i | −0.101520 | + | 0.175837i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.62132 | − | 8.00436i | −0.415007 | − | 0.718813i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 15.2426 | 1.35257 | 0.676283 | − | 0.736642i | \(-0.263590\pi\) | ||||
0.676283 | + | 0.736642i | \(0.263590\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.12132 | − | 14.0665i | −0.709563 | − | 1.22900i | −0.965019 | − | 0.262179i | \(-0.915559\pi\) |
0.255456 | − | 0.966821i | \(-0.417774\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.24264 | + | 5.49333i | −0.194462 | + | 0.476332i | ||||
\(134\) | −0.242641 | −0.0209610 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.98528 | − | 12.0989i | 0.596793 | − | 1.03368i | −0.396498 | − | 0.918035i | \(-0.629775\pi\) |
0.993291 | − | 0.115640i | \(-0.0368919\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 20.7279 | 1.75812 | 0.879060 | − | 0.476712i | \(-0.158171\pi\) | ||||
0.879060 | + | 0.476712i | \(0.158171\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.621320 | − | 1.07616i | −0.0521400 | − | 0.0903092i | ||||
\(143\) | 4.75736 | − | 8.23999i | 0.397830 | − | 0.689062i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 7.00000 | 0.579324 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.00000 | −0.328798 | ||||||||
\(149\) | 3.87868 | + | 6.71807i | 0.317754 | + | 0.550366i | 0.980019 | − | 0.198904i | \(-0.0637381\pi\) |
−0.662265 | + | 0.749270i | \(0.730405\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.62132 | − | 9.73641i | 0.457457 | − | 0.792338i | −0.541369 | − | 0.840785i | \(-0.682094\pi\) |
0.998826 | + | 0.0484470i | \(0.0154272\pi\) | |||||||
\(152\) | −1.12132 | − | 1.94218i | −0.0909511 | − | 0.157532i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.87868 | − | 8.87039i | −0.554300 | − | 0.714796i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.00000 | + | 12.1244i | −0.558661 | + | 0.967629i | 0.438948 | + | 0.898513i | \(0.355351\pi\) |
−0.997609 | + | 0.0691164i | \(0.977982\pi\) | |||||||
\(158\) | 0.378680 | − | 0.655892i | 0.0301261 | − | 0.0521800i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.24264 | − | 3.04384i | 0.0979338 | − | 0.239888i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.1213 | + | 17.5306i | 0.792763 | + | 1.37311i | 0.924250 | + | 0.381788i | \(0.124692\pi\) |
−0.131487 | + | 0.991318i | \(0.541975\pi\) | |||||||
\(164\) | 5.74264 | − | 9.94655i | 0.448425 | − | 0.776695i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −8.12132 | − | 14.0665i | −0.630337 | − | 1.09178i | ||||
\(167\) | 18.2132 | 1.40938 | 0.704690 | − | 0.709515i | \(-0.251086\pi\) | ||||
0.704690 | + | 0.709515i | \(0.251086\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.97056 | −0.613120 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.24264 | + | 9.08052i | −0.399748 | + | 0.692383i | ||||
\(173\) | 11.4853 | + | 19.8931i | 0.873210 | + | 1.51244i | 0.858658 | + | 0.512550i | \(0.171299\pi\) |
0.0145521 | + | 0.999894i | \(0.495368\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.1066 | − | 1.79360i | 0.990766 | − | 0.135583i | ||||
\(176\) | 4.24264 | 0.319801 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.74264 | + | 9.94655i | −0.430429 | + | 0.745525i | ||||
\(179\) | −3.87868 | + | 6.71807i | −0.289906 | + | 0.502132i | −0.973787 | − | 0.227461i | \(-0.926957\pi\) |
0.683881 | + | 0.729594i | \(0.260291\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.7574 | −0.873918 | −0.436959 | − | 0.899482i | \(-0.643944\pi\) | ||||
−0.436959 | + | 0.899482i | \(0.643944\pi\) | |||||||
\(182\) | 2.24264 | − | 5.49333i | 0.166236 | − | 0.407192i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.621320 | + | 1.07616i | 0.0458043 | + | 0.0793355i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −4.75736 | −0.346966 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.24264 | − | 7.34847i | −0.306987 | − | 0.531717i | 0.670715 | − | 0.741715i | \(-0.265987\pi\) |
−0.977702 | + | 0.209999i | \(0.932654\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.7426 | − | 18.6068i | 0.773272 | − | 1.33935i | −0.162488 | − | 0.986710i | \(-0.551952\pi\) |
0.935760 | − | 0.352636i | \(-0.114715\pi\) | |||||||
\(194\) | 2.24264 | + | 3.88437i | 0.161012 | + | 0.278881i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.00000 | − | 4.89898i | −0.357143 | − | 0.349927i | ||||
\(197\) | 16.9706 | 1.20910 | 0.604551 | − | 0.796566i | \(-0.293352\pi\) | ||||
0.604551 | + | 0.796566i | \(0.293352\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.6213 | − | 20.1287i | 0.823814 | − | 1.42689i | −0.0790091 | − | 0.996874i | \(-0.525176\pi\) |
0.902823 | − | 0.430013i | \(-0.141491\pi\) | |||||||
\(200\) | −2.50000 | + | 4.33013i | −0.176777 | + | 0.306186i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 16.2426 | 1.14283 | ||||||||
\(203\) | −6.87868 | − | 8.87039i | −0.482789 | − | 0.622579i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 4.62132 | − | 8.00436i | 0.321983 | − | 0.557690i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.12132 | + | 1.94218i | 0.0777496 | + | 0.134666i | ||||
\(209\) | −9.51472 | −0.658147 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.4853 | 0.721837 | 0.360918 | − | 0.932597i | \(-0.382463\pi\) | ||||
0.360918 | + | 0.932597i | \(0.382463\pi\) | |||||||
\(212\) | −2.12132 | − | 3.67423i | −0.145693 | − | 0.252347i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.24264 | + | 12.5446i | −0.495097 | + | 0.857533i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −24.2279 | + | 3.31552i | −1.64470 | + | 0.225072i | ||||
\(218\) | −6.24264 | −0.422805 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.7279 | −0.919290 | −0.459645 | − | 0.888103i | \(-0.652023\pi\) | ||||
−0.459645 | + | 0.888103i | \(0.652023\pi\) | |||||||
\(224\) | 2.62132 | − | 0.358719i | 0.175144 | − | 0.0239680i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.75736 | + | 3.04384i | 0.116898 | + | 0.202473i | ||||
\(227\) | 4.75736 | − | 8.23999i | 0.315757 | − | 0.546907i | −0.663841 | − | 0.747874i | \(-0.731075\pi\) |
0.979598 | + | 0.200966i | \(0.0644082\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.48528 | + | 7.76874i | 0.296396 | + | 0.513372i | 0.975309 | − | 0.220846i | \(-0.0708819\pi\) |
−0.678913 | + | 0.734219i | \(0.737549\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.24264 | 0.278543 | ||||||||
\(233\) | 1.75736 | + | 3.04384i | 0.115128 | + | 0.199408i | 0.917831 | − | 0.396971i | \(-0.129939\pi\) |
−0.802703 | + | 0.596379i | \(0.796605\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 21.7279 | 1.40546 | 0.702731 | − | 0.711455i | \(-0.251964\pi\) | ||||
0.702731 | + | 0.711455i | \(0.251964\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.7426 | + | 22.0709i | −0.820826 | + | 1.42171i | 0.0842426 | + | 0.996445i | \(0.473153\pi\) |
−0.905068 | + | 0.425266i | \(0.860180\pi\) | |||||||
\(242\) | 3.50000 | − | 6.06218i | 0.224989 | − | 0.389692i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.24264 | −0.143570 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.51472 | − | 4.35562i | −0.160008 | − | 0.277141i | ||||
\(248\) | 4.62132 | − | 8.00436i | 0.293454 | − | 0.508277i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.72792 | 0.424663 | 0.212331 | − | 0.977198i | \(-0.431894\pi\) | ||||
0.212331 | + | 0.977198i | \(0.431894\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.27208 | 0.331453 | ||||||||
\(254\) | 7.62132 | + | 13.2005i | 0.478204 | + | 0.828274i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −5.74264 | − | 9.94655i | −0.358216 | − | 0.620448i | 0.629447 | − | 0.777044i | \(-0.283282\pi\) |
−0.987663 | + | 0.156595i | \(0.949948\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.00000 | + | 9.79796i | −0.248548 | + | 0.608816i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.12132 | − | 14.0665i | 0.501737 | − | 0.869034i | ||||
\(263\) | −5.48528 | + | 9.50079i | −0.338237 | + | 0.585844i | −0.984101 | − | 0.177609i | \(-0.943164\pi\) |
0.645864 | + | 0.763452i | \(0.276497\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −5.87868 | + | 0.804479i | −0.360445 | + | 0.0493258i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.121320 | − | 0.210133i | −0.00741082 | − | 0.0128359i | ||||
\(269\) | 11.4853 | − | 19.8931i | 0.700270 | − | 1.21290i | −0.268102 | − | 0.963391i | \(-0.586396\pi\) |
0.968372 | − | 0.249513i | \(-0.0802704\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.24264 | − | 3.88437i | −0.136231 | − | 0.235959i | 0.789836 | − | 0.613318i | \(-0.210166\pi\) |
−0.926067 | + | 0.377359i | \(0.876832\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 13.9706 | 0.843993 | ||||||||
\(275\) | 10.6066 | + | 18.3712i | 0.639602 | + | 1.10782i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.6066 | + | 20.1032i | −0.697373 | + | 1.20789i | 0.272001 | + | 0.962297i | \(0.412315\pi\) |
−0.969374 | + | 0.245589i | \(0.921019\pi\) | |||||||
\(278\) | 10.3640 | + | 17.9509i | 0.621589 | + | 1.07662i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 28.4558 | 1.69753 | 0.848767 | − | 0.528768i | \(-0.177346\pi\) | ||||
0.848767 | + | 0.528768i | \(0.177346\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.48528 | − | 7.76874i | 0.266622 | − | 0.461803i | −0.701365 | − | 0.712802i | \(-0.747426\pi\) |
0.967987 | + | 0.250999i | \(0.0807590\pi\) | |||||||
\(284\) | 0.621320 | − | 1.07616i | 0.0368686 | − | 0.0638583i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.51472 | 0.562617 | ||||||||
\(287\) | −18.6213 | − | 24.0131i | −1.09918 | − | 1.41745i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.50000 | + | 14.7224i | 0.500000 | + | 0.866025i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.50000 | + | 6.06218i | 0.204822 | + | 0.354762i | ||||
\(293\) | −22.9706 | −1.34195 | −0.670977 | − | 0.741478i | \(-0.734125\pi\) | ||||
−0.670977 | + | 0.741478i | \(0.734125\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2.00000 | − | 3.46410i | −0.116248 | − | 0.201347i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.87868 | + | 6.71807i | −0.224686 | + | 0.389167i | ||||
\(299\) | 1.39340 | + | 2.41344i | 0.0805823 | + | 0.139573i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 17.0000 | + | 21.9223i | 0.979864 | + | 1.26358i | ||||
\(302\) | 11.2426 | 0.646941 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.12132 | − | 1.94218i | 0.0643121 | − | 0.111392i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −28.0000 | −1.59804 | −0.799022 | − | 0.601302i | \(-0.794649\pi\) | ||||
−0.799022 | + | 0.601302i | \(0.794649\pi\) | |||||||
\(308\) | 4.24264 | − | 10.3923i | 0.241747 | − | 0.592157i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 11.4853 | − | 19.8931i | 0.651271 | − | 1.12803i | −0.331544 | − | 0.943440i | \(-0.607570\pi\) |
0.982815 | − | 0.184594i | \(-0.0590970\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.98528 | − | 13.8309i | −0.451355 | − | 0.781769i | 0.547116 | − | 0.837057i | \(-0.315726\pi\) |
−0.998470 | + | 0.0552876i | \(0.982392\pi\) | |||||||
\(314\) | −14.0000 | −0.790066 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.757359 | 0.0426048 | ||||||||
\(317\) | 8.48528 | + | 14.6969i | 0.476581 | + | 0.825462i | 0.999640 | − | 0.0268342i | \(-0.00854260\pi\) |
−0.523059 | + | 0.852296i | \(0.675209\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.00000 | − | 15.5885i | 0.503903 | − | 0.872786i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.25736 | − | 0.445759i | 0.181526 | − | 0.0248412i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.60660 | + | 9.71092i | −0.310998 | + | 0.538665i | ||||
\(326\) | −10.1213 | + | 17.5306i | −0.560568 | + | 0.970932i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 11.4853 | 0.634169 | ||||||||
\(329\) | −4.75736 | + | 11.6531i | −0.262282 | + | 0.642456i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.757359 | + | 1.31178i | 0.0416282 | + | 0.0721022i | 0.886089 | − | 0.463515i | \(-0.153412\pi\) |
−0.844461 | + | 0.535618i | \(0.820079\pi\) | |||||||
\(332\) | 8.12132 | − | 14.0665i | 0.445715 | − | 0.772002i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 9.10660 | + | 15.7731i | 0.498291 | + | 0.863065i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.4853 | −0.680117 | −0.340058 | − | 0.940404i | \(-0.610447\pi\) | ||||
−0.340058 | + | 0.940404i | \(0.610447\pi\) | |||||||
\(338\) | −3.98528 | − | 6.90271i | −0.216771 | − | 0.375458i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −19.6066 | − | 33.9596i | −1.06176 | − | 1.83902i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.0000 | + | 7.34847i | −0.917914 | + | 0.396780i | ||||
\(344\) | −10.4853 | −0.565328 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.4853 | + | 19.8931i | −0.617453 | + | 1.06946i | ||||
\(347\) | 9.36396 | − | 16.2189i | 0.502684 | − | 0.870674i | −0.497311 | − | 0.867572i | \(-0.665679\pi\) |
0.999995 | − | 0.00310172i | \(-0.000987311\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.97056 | −0.480183 | −0.240092 | − | 0.970750i | \(-0.577177\pi\) | ||||
−0.240092 | + | 0.970750i | \(0.577177\pi\) | |||||||
\(350\) | 8.10660 | + | 10.4539i | 0.433316 | + | 0.558782i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.12132 | + | 3.67423i | 0.113067 | + | 0.195837i | ||||
\(353\) | 10.5000 | − | 18.1865i | 0.558859 | − | 0.967972i | −0.438733 | − | 0.898617i | \(-0.644573\pi\) |
0.997592 | − | 0.0693543i | \(-0.0220939\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −11.4853 | −0.608719 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −7.75736 | −0.409989 | ||||||||
\(359\) | 9.62132 | + | 16.6646i | 0.507794 | + | 0.879525i | 0.999959 | + | 0.00902308i | \(0.00287218\pi\) |
−0.492165 | + | 0.870502i | \(0.663794\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.98528 | − | 12.0989i | 0.367646 | − | 0.636782i | ||||
\(362\) | −5.87868 | − | 10.1822i | −0.308977 | − | 0.535163i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.87868 | − | 0.804479i | 0.308127 | − | 0.0421662i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.86396 | − | 11.8887i | 0.358296 | − | 0.620587i | −0.629380 | − | 0.777097i | \(-0.716691\pi\) |
0.987676 | + | 0.156511i | \(0.0500246\pi\) | |||||||
\(368\) | −0.621320 | + | 1.07616i | −0.0323886 | + | 0.0560986i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.1213 | + | 1.52192i | −0.577390 | + | 0.0790140i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.6066 | − | 30.4955i | −0.911635 | − | 1.57900i | −0.811754 | − | 0.583999i | \(-0.801487\pi\) |
−0.0998811 | − | 0.994999i | \(-0.531846\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.37868 | − | 4.11999i | −0.122671 | − | 0.212472i | ||||
\(377\) | 9.51472 | 0.490033 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.7279 | 1.37292 | 0.686461 | − | 0.727167i | \(-0.259163\pi\) | ||||
0.686461 | + | 0.727167i | \(0.259163\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.24264 | − | 7.34847i | 0.217072 | − | 0.375980i | ||||
\(383\) | 9.10660 | + | 15.7731i | 0.465326 | + | 0.805968i | 0.999216 | − | 0.0395860i | \(-0.0126039\pi\) |
−0.533891 | + | 0.845554i | \(0.679271\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 21.4853 | 1.09357 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.24264 | + | 3.88437i | −0.113853 | + | 0.197199i | ||||
\(389\) | 0.878680 | − | 1.52192i | 0.0445508 | − | 0.0771643i | −0.842890 | − | 0.538086i | \(-0.819148\pi\) |
0.887441 | + | 0.460921i | \(0.152481\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 1.74264 | − | 6.77962i | 0.0880166 | − | 0.342422i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 8.48528 | + | 14.6969i | 0.427482 | + | 0.740421i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.87868 | + | 10.1822i | 0.295042 | + | 0.511029i | 0.974995 | − | 0.222228i | \(-0.0713329\pi\) |
−0.679952 | + | 0.733256i | \(0.738000\pi\) | |||||||
\(398\) | 23.2426 | 1.16505 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.00000 | −0.250000 | ||||||||
\(401\) | 6.25736 | + | 10.8381i | 0.312478 | + | 0.541227i | 0.978898 | − | 0.204349i | \(-0.0655077\pi\) |
−0.666420 | + | 0.745576i | \(0.732174\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.3640 | − | 17.9509i | 0.516266 | − | 0.894198i | ||||
\(404\) | 8.12132 | + | 14.0665i | 0.404051 | + | 0.699836i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.24264 | − | 10.3923i | 0.210559 | − | 0.515761i | ||||
\(407\) | −16.9706 | −0.841200 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.5000 | + | 30.3109i | −0.865319 | + | 1.49878i | 0.00141047 | + | 0.999999i | \(0.499551\pi\) |
−0.866730 | + | 0.498778i | \(0.833782\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 9.24264 | 0.455352 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.12132 | + | 1.94218i | −0.0549773 | + | 0.0952234i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.75736 | − | 8.23999i | −0.232690 | − | 0.403031i | ||||
\(419\) | 16.2426 | 0.793505 | 0.396752 | − | 0.917926i | \(-0.370137\pi\) | ||||
0.396752 | + | 0.917926i | \(0.370137\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.75736 | −0.280597 | −0.140298 | − | 0.990109i | \(-0.544806\pi\) | ||||
−0.140298 | + | 0.990109i | \(0.544806\pi\) | |||||||
\(422\) | 5.24264 | + | 9.08052i | 0.255208 | + | 0.442033i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.12132 | − | 3.67423i | 0.103020 | − | 0.178437i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.24264 | + | 5.49333i | −0.108529 | + | 0.265841i | ||||
\(428\) | −14.4853 | −0.700173 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.3787 | + | 24.9046i | −0.692597 | + | 1.19961i | 0.278388 | + | 0.960469i | \(0.410200\pi\) |
−0.970984 | + | 0.239144i | \(0.923133\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −29.9706 | −1.44029 | −0.720147 | − | 0.693822i | \(-0.755926\pi\) | ||||
−0.720147 | + | 0.693822i | \(0.755926\pi\) | |||||||
\(434\) | −14.9853 | − | 19.3242i | −0.719317 | − | 0.927593i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.12132 | − | 5.40629i | −0.149484 | − | 0.258914i | ||||
\(437\) | 1.39340 | − | 2.41344i | 0.0666553 | − | 0.115450i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.86396 | + | 11.8887i | 0.327599 | + | 0.567418i | 0.982035 | − | 0.188699i | \(-0.0604272\pi\) |
−0.654436 | + | 0.756117i | \(0.727094\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 13.2426 | + | 22.9369i | 0.629177 | + | 1.08977i | 0.987717 | + | 0.156252i | \(0.0499412\pi\) |
−0.358540 | + | 0.933514i | \(0.616725\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −6.86396 | − | 11.8887i | −0.325018 | − | 0.562948i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.62132 | + | 2.09077i | 0.0766002 | + | 0.0987796i | ||||
\(449\) | −28.9706 | −1.36721 | −0.683603 | − | 0.729854i | \(-0.739588\pi\) | ||||
−0.683603 | + | 0.729854i | \(0.739588\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 24.3640 | − | 42.1996i | 1.14725 | − | 1.98710i | ||||
\(452\) | −1.75736 | + | 3.04384i | −0.0826592 | + | 0.143170i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.51472 | 0.446548 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.2426 | − | 24.6690i | −0.666243 | − | 1.15397i | −0.978947 | − | 0.204116i | \(-0.934568\pi\) |
0.312704 | − | 0.949851i | \(-0.398765\pi\) | |||||||
\(458\) | −4.48528 | + | 7.76874i | −0.209583 | + | 0.363009i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −25.7574 | −1.19964 | −0.599820 | − | 0.800135i | \(-0.704761\pi\) | ||||
−0.599820 | + | 0.800135i | \(0.704761\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.2426 | −0.801333 | −0.400667 | − | 0.916224i | \(-0.631221\pi\) | ||||
−0.400667 | + | 0.916224i | \(0.631221\pi\) | |||||||
\(464\) | 2.12132 | + | 3.67423i | 0.0984798 | + | 0.170572i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.75736 | + | 3.04384i | −0.0814081 | + | 0.141003i | ||||
\(467\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.636039 | + | 0.0870399i | −0.0293696 | + | 0.00401913i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −22.2426 | + | 38.5254i | −1.02272 | + | 1.77140i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.2132 | 0.514497 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 10.8640 | + | 18.8169i | 0.496906 | + | 0.860666i | ||||
\(479\) | −2.37868 | + | 4.11999i | −0.108685 | + | 0.188247i | −0.915238 | − | 0.402914i | \(-0.867997\pi\) |
0.806553 | + | 0.591162i | \(0.201331\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.48528 | − | 7.76874i | −0.204511 | − | 0.354224i | ||||
\(482\) | −25.4853 | −1.16082 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.00000 | 0.318182 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.62132 | − | 9.73641i | 0.254726 | − | 0.441199i | −0.710095 | − | 0.704106i | \(-0.751348\pi\) |
0.964821 | + | 0.262907i | \(0.0846813\pi\) | |||||||
\(488\) | −1.12132 | − | 1.94218i | −0.0507598 | − | 0.0879185i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 18.7279 | 0.845179 | 0.422590 | − | 0.906321i | \(-0.361121\pi\) | ||||
0.422590 | + | 0.906321i | \(0.361121\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 2.51472 | − | 4.35562i | 0.113143 | − | 0.195969i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 9.24264 | 0.415007 | ||||||||
\(497\) | −2.01472 | − | 2.59808i | −0.0903725 | − | 0.116540i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.36396 | − | 12.7548i | −0.329656 | − | 0.570981i | 0.652787 | − | 0.757541i | \(-0.273599\pi\) |
−0.982444 | + | 0.186560i | \(0.940266\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.36396 | + | 5.82655i | 0.150141 | + | 0.260052i | ||||
\(503\) | −18.2132 | −0.812087 | −0.406043 | − | 0.913854i | \(-0.633092\pi\) | ||||
−0.406043 | + | 0.913854i | \(0.633092\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 2.63604 | + | 4.56575i | 0.117186 | + | 0.202972i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.62132 | + | 13.2005i | −0.338141 | + | 0.585678i | ||||
\(509\) | 8.12132 | + | 14.0665i | 0.359971 | + | 0.623488i | 0.987956 | − | 0.154738i | \(-0.0494532\pi\) |
−0.627984 | + | 0.778226i | \(0.716120\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.3492 | − | 2.51104i | 0.811723 | − | 0.111082i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.74264 | − | 9.94655i | 0.253297 | − | 0.438723i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −20.1838 | −0.887681 | ||||||||
\(518\) | −10.4853 | + | 1.43488i | −0.460697 | + | 0.0630449i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −17.2279 | + | 29.8396i | −0.754769 | + | 1.30730i | 0.190720 | + | 0.981644i | \(0.438918\pi\) |
−0.945489 | + | 0.325654i | \(0.894416\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.87868 | + | 10.1822i | 0.257057 | + | 0.445235i | 0.965452 | − | 0.260581i | \(-0.0839139\pi\) |
−0.708395 | + | 0.705816i | \(0.750581\pi\) | |||||||
\(524\) | 16.2426 | 0.709563 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.9706 | −0.478339 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.7279 | − | 18.5813i | 0.466431 | − | 0.807883i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.63604 | − | 4.68885i | −0.157642 | − | 0.203287i | ||||
\(533\) | 25.7574 | 1.11568 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0.121320 | − | 0.210133i | 0.00524024 | − | 0.00907636i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 22.9706 | 0.990331 | ||||||||
\(539\) | −21.2132 | − | 20.7846i | −0.913717 | − | 0.895257i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.48528 | − | 16.4290i | −0.407804 | − | 0.706337i | 0.586839 | − | 0.809703i | \(-0.300372\pi\) |
−0.994643 | + | 0.103366i | \(0.967039\pi\) | |||||||
\(542\) | 2.24264 | − | 3.88437i | 0.0963297 | − | 0.166848i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.4853 | 0.448318 | 0.224159 | − | 0.974553i | \(-0.428036\pi\) | ||||
0.224159 | + | 0.974553i | \(0.428036\pi\) | |||||||
\(548\) | 6.98528 | + | 12.0989i | 0.298396 | + | 0.516838i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.6066 | + | 18.3712i | −0.452267 | + | 0.783349i | ||||
\(551\) | −4.75736 | − | 8.23999i | −0.202670 | − | 0.351035i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.757359 | − | 1.85514i | 0.0322062 | − | 0.0788887i | ||||
\(554\) | −23.2132 | −0.986235 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −10.3640 | + | 17.9509i | −0.439530 | + | 0.761288i | ||||
\(557\) | −3.51472 | + | 6.08767i | −0.148923 | + | 0.257943i | −0.930830 | − | 0.365453i | \(-0.880914\pi\) |
0.781906 | + | 0.623396i | \(0.214247\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −23.5147 | −0.994567 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.2279 | + | 24.6435i | 0.600169 | + | 1.03952i | ||||
\(563\) | −3.36396 | + | 5.82655i | −0.141774 | + | 0.245560i | −0.928165 | − | 0.372170i | \(-0.878614\pi\) |
0.786391 | + | 0.617729i | \(0.211947\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 8.97056 | 0.377061 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.24264 | 0.0521400 | ||||||||
\(569\) | −21.4706 | − | 37.1881i | −0.900093 | − | 1.55901i | −0.827372 | − | 0.561654i | \(-0.810165\pi\) |
−0.0727207 | − | 0.997352i | \(-0.523168\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.48528 | + | 11.2328i | −0.271401 | + | 0.470080i | −0.969221 | − | 0.246193i | \(-0.920820\pi\) |
0.697820 | + | 0.716273i | \(0.254153\pi\) | |||||||
\(572\) | 4.75736 | + | 8.23999i | 0.198915 | + | 0.344531i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 11.4853 | − | 28.1331i | 0.479386 | − | 1.17425i | ||||
\(575\) | −6.21320 | −0.259108 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.9706 | − | 27.6618i | 0.664863 | − | 1.15158i | −0.314459 | − | 0.949271i | \(-0.601823\pi\) |
0.979322 | − | 0.202306i | \(-0.0648435\pi\) | |||||||
\(578\) | −8.50000 | + | 14.7224i | −0.353553 | + | 0.612372i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −26.3345 | − | 33.9596i | −1.09254 | − | 1.40888i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.00000 | − | 15.5885i | −0.372742 | − | 0.645608i | ||||
\(584\) | −3.50000 | + | 6.06218i | −0.144831 | + | 0.250855i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −11.4853 | − | 19.8931i | −0.474453 | − | 0.821776i | ||||
\(587\) | −39.2132 | −1.61850 | −0.809251 | − | 0.587463i | \(-0.800127\pi\) | ||||
−0.809251 | + | 0.587463i | \(0.800127\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −20.7279 | −0.854079 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.00000 | − | 3.46410i | 0.0821995 | − | 0.142374i | ||||
\(593\) | 5.74264 | + | 9.94655i | 0.235822 | + | 0.408456i | 0.959511 | − | 0.281670i | \(-0.0908884\pi\) |
−0.723689 | + | 0.690126i | \(0.757555\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −7.75736 | −0.317754 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.39340 | + | 2.41344i | −0.0569803 | + | 0.0986928i | ||||
\(599\) | −5.48528 | + | 9.50079i | −0.224123 | + | 0.388192i | −0.956056 | − | 0.293185i | \(-0.905285\pi\) |
0.731933 | + | 0.681376i | \(0.238618\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 15.9706 | 0.651453 | 0.325726 | − | 0.945464i | \(-0.394391\pi\) | ||||
0.325726 | + | 0.945464i | \(0.394391\pi\) | |||||||
\(602\) | −10.4853 | + | 25.6836i | −0.427348 | + | 1.04678i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.62132 | + | 9.73641i | 0.228728 | + | 0.396169i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.51472 | + | 4.35562i | 0.102069 | + | 0.176789i | 0.912537 | − | 0.408994i | \(-0.134120\pi\) |
−0.810468 | + | 0.585783i | \(0.800787\pi\) | |||||||
\(608\) | 2.24264 | 0.0909511 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.33452 | − | 9.23967i | −0.215812 | − | 0.373797i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.9706 | + | 25.9298i | −0.604655 | + | 1.04729i | 0.387451 | + | 0.921891i | \(0.373356\pi\) |
−0.992106 | + | 0.125403i | \(0.959978\pi\) | |||||||
\(614\) | −14.0000 | − | 24.2487i | −0.564994 | − | 0.978598i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.1213 | − | 1.52192i | 0.448091 | − | 0.0613198i | ||||
\(617\) | −22.4558 | −0.904038 | −0.452019 | − | 0.892008i | \(-0.649296\pi\) | ||||
−0.452019 | + | 0.892008i | \(0.649296\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.24264 | − | 16.0087i | 0.371493 | − | 0.643445i | −0.618302 | − | 0.785940i | \(-0.712179\pi\) |
0.989795 | + | 0.142495i | \(0.0455126\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 22.9706 | 0.921036 | ||||||||
\(623\) | −11.4853 | + | 28.1331i | −0.460148 | + | 1.12713i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.5000 | − | 21.6506i | −0.500000 | − | 0.866025i | ||||
\(626\) | 7.98528 | − | 13.8309i | 0.319156 | − | 0.552794i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −7.00000 | − | 12.1244i | −0.279330 | − | 0.483814i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.51472 | −0.299156 | −0.149578 | − | 0.988750i | \(-0.547792\pi\) | ||||
−0.149578 | + | 0.988750i | \(0.547792\pi\) | |||||||
\(632\) | 0.378680 | + | 0.655892i | 0.0150631 | + | 0.0260900i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.48528 | + | 14.6969i | −0.336994 | + | 0.583690i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.90812 | − | 15.2042i | 0.154845 | − | 0.602414i | ||||
\(638\) | 18.0000 | 0.712627 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 23.2279 | − | 40.2319i | 0.917448 | − | 1.58907i | 0.114170 | − | 0.993461i | \(-0.463579\pi\) |
0.803278 | − | 0.595605i | \(-0.203088\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.2721 | −0.838889 | −0.419444 | − | 0.907781i | \(-0.637775\pi\) | ||||
−0.419444 | + | 0.907781i | \(0.637775\pi\) | |||||||
\(644\) | 2.01472 | + | 2.59808i | 0.0793910 | + | 0.102379i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 13.8640 | − | 24.0131i | 0.545049 | − | 0.944052i | −0.453555 | − | 0.891228i | \(-0.649845\pi\) |
0.998604 | − | 0.0528236i | \(-0.0168221\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −11.2132 | −0.439818 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −20.2426 | −0.792763 | ||||||||
\(653\) | 12.0000 | + | 20.7846i | 0.469596 | + | 0.813365i | 0.999396 | − | 0.0347583i | \(-0.0110661\pi\) |
−0.529799 | + | 0.848123i | \(0.677733\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 5.74264 | + | 9.94655i | 0.224212 | + | 0.388347i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.4706 | + | 1.70656i | −0.486153 | + | 0.0665285i | ||||
\(659\) | −3.21320 | −0.125169 | −0.0625843 | − | 0.998040i | \(-0.519934\pi\) | ||||
−0.0625843 | + | 0.998040i | \(0.519934\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.0919 | + | 29.6040i | −0.664797 | + | 1.15146i | 0.314543 | + | 0.949243i | \(0.398149\pi\) |
−0.979340 | + | 0.202219i | \(0.935185\pi\) | |||||||
\(662\) | −0.757359 | + | 1.31178i | −0.0294356 | + | 0.0509840i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 16.2426 | 0.630337 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.63604 | + | 4.56575i | 0.102068 | + | 0.176787i | ||||
\(668\) | −9.10660 | + | 15.7731i | −0.352345 | + | 0.610279i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.51472 | −0.367312 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.5147 | −0.405313 | −0.202656 | − | 0.979250i | \(-0.564957\pi\) | ||||
−0.202656 | + | 0.979250i | \(0.564957\pi\) | |||||||
\(674\) | −6.24264 | − | 10.8126i | −0.240458 | − | 0.416485i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.98528 | − | 6.90271i | 0.153280 | − | 0.265489i | ||||
\(677\) | 12.8787 | + | 22.3065i | 0.494968 | + | 0.857309i | 0.999983 | − | 0.00580089i | \(-0.00184649\pi\) |
−0.505015 | + | 0.863110i | \(0.668513\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.27208 | + | 9.37769i | 0.279077 | + | 0.359883i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 19.6066 | − | 33.9596i | 0.750776 | − | 1.30038i | ||||
\(683\) | −8.84924 | + | 15.3273i | −0.338607 | + | 0.586484i | −0.984171 | − | 0.177222i | \(-0.943289\pi\) |
0.645564 | + | 0.763706i | \(0.276622\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −14.8640 | − | 11.0482i | −0.567509 | − | 0.421822i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.24264 | − | 9.08052i | −0.199874 | − | 0.346192i | ||||
\(689\) | 4.75736 | − | 8.23999i | 0.181241 | − | 0.313919i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.12132 | + | 1.94218i | 0.0426570 | + | 0.0738842i | 0.886566 | − | 0.462603i | \(-0.153084\pi\) |
−0.843909 | + | 0.536487i | \(0.819751\pi\) | |||||||
\(692\) | −22.9706 | −0.873210 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18.7279 | 0.710902 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −4.48528 | − | 7.76874i | −0.169770 | − | 0.294051i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5.00000 | + | 12.2474i | −0.188982 | + | 0.462910i | ||||
\(701\) | −22.2426 | −0.840093 | −0.420046 | − | 0.907503i | \(-0.637986\pi\) | ||||
−0.420046 | + | 0.907503i | \(0.637986\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.48528 | + | 7.76874i | −0.169166 | + | 0.293003i | ||||
\(704\) | −2.12132 | + | 3.67423i | −0.0799503 | + | 0.138478i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 21.0000 | 0.790345 | ||||||||
\(707\) | 42.5772 | − | 5.82655i | 1.60128 | − | 0.219130i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 16.8492 | + | 29.1837i | 0.632787 | + | 1.09602i | 0.986979 | + | 0.160846i | \(0.0514223\pi\) |
−0.354193 | + | 0.935172i | \(0.615244\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.74264 | − | 9.94655i | −0.215215 | − | 0.372763i | ||||
\(713\) | 11.4853 | 0.430127 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.87868 | − | 6.71807i | −0.144953 | − | 0.251066i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.62132 | + | 16.6646i | −0.359064 | + | 0.621918i | ||||
\(719\) | −13.8640 | − | 24.0131i | −0.517039 | − | 0.895537i | −0.999804 | − | 0.0197874i | \(-0.993701\pi\) |
0.482766 | − | 0.875750i | \(-0.339632\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.24264 | − | 22.6398i | 0.344214 | − | 0.843148i | ||||
\(722\) | 13.9706 | 0.519931 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.87868 | − | 10.1822i | 0.218479 | − | 0.378417i | ||||
\(725\) | −10.6066 | + | 18.3712i | −0.393919 | + | 0.682288i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.272078 | −0.0100908 | −0.00504541 | − | 0.999987i | \(-0.501606\pi\) | ||||
−0.00504541 | + | 0.999987i | \(0.501606\pi\) | |||||||
\(728\) | 3.63604 | + | 4.68885i | 0.134761 | + | 0.173780i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.51472 | + | 4.35562i | 0.0928833 | + | 0.160879i | 0.908723 | − | 0.417399i | \(-0.137058\pi\) |
−0.815840 | + | 0.578278i | \(0.803725\pi\) | |||||||
\(734\) | 13.7279 | 0.506707 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.24264 | −0.0458043 | ||||||||
\(737\) | −0.514719 | − | 0.891519i | −0.0189599 | − | 0.0328395i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.24264 | − | 5.61642i | 0.119282 | − | 0.206603i | −0.800201 | − | 0.599732i | \(-0.795274\pi\) |
0.919484 | + | 0.393129i | \(0.128607\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.87868 | − | 8.87039i | −0.252524 | − | 0.325642i | ||||
\(743\) | −43.2426 | −1.58642 | −0.793209 | − | 0.608949i | \(-0.791591\pi\) | ||||
−0.793209 | + | 0.608949i | \(0.791591\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 17.6066 | − | 30.4955i | 0.644623 | − | 1.11652i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −14.4853 | + | 35.4815i | −0.529281 | + | 1.29647i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.37868 | + | 7.58410i | 0.159780 | + | 0.276748i | 0.934789 | − | 0.355203i | \(-0.115588\pi\) |
−0.775009 | + | 0.631950i | \(0.782255\pi\) | |||||||
\(752\) | 2.37868 | − | 4.11999i | 0.0867415 | − | 0.150241i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.75736 | + | 8.23999i | 0.173253 | + | 0.300083i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.9706 | −0.762188 | −0.381094 | − | 0.924536i | \(-0.624453\pi\) | ||||
−0.381094 | + | 0.924536i | \(0.624453\pi\) | |||||||
\(758\) | 13.3640 | + | 23.1471i | 0.485401 | + | 0.840739i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.5000 | + | 18.1865i | 0.380625 | + | 0.659261i | 0.991152 | − | 0.132734i | \(-0.0423756\pi\) |
−0.610527 | + | 0.791995i | \(0.709042\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −16.3640 | + | 2.23936i | −0.592415 | + | 0.0810702i | ||||
\(764\) | 8.48528 | 0.306987 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.10660 | + | 15.7731i | −0.329035 | + | 0.569905i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.48528 | 0.161743 | 0.0808717 | − | 0.996725i | \(-0.474230\pi\) | ||||
0.0808717 | + | 0.996725i | \(0.474230\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.7426 | + | 18.6068i | 0.386636 | + | 0.669673i | ||||
\(773\) | −1.39340 | + | 2.41344i | −0.0501171 | + | 0.0868053i | −0.889996 | − | 0.455969i | \(-0.849293\pi\) |
0.839879 | + | 0.542774i | \(0.182626\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 23.1066 | + | 40.0218i | 0.830014 | + | 1.43763i | ||||
\(776\) | −4.48528 | −0.161012 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.75736 | 0.0630044 | ||||||||
\(779\) | −12.8787 | − | 22.3065i | −0.461427 | − | 0.799214i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.63604 | − | 4.56575i | 0.0943249 | − | 0.163376i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.74264 | − | 1.88064i | 0.240809 | − | 0.0671656i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.60660 | + | 9.71092i | −0.199854 | + | 0.346157i | −0.948481 | − | 0.316834i | \(-0.897380\pi\) |
0.748627 | + | 0.662991i | \(0.230713\pi\) | |||||||
\(788\) | −8.48528 | + | 14.6969i | −0.302276 | + | 0.523557i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 5.69848 | + | 7.34847i | 0.202615 | + | 0.261281i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.51472 | − | 4.35562i | −0.0893003 | − | 0.154673i | ||||
\(794\) | −5.87868 | + | 10.1822i | −0.208627 | + | 0.361352i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.6213 | + | 20.1287i | 0.411907 | + | 0.713443i | ||||
\(797\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −2.50000 | − | 4.33013i | −0.0883883 | − | 0.153093i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.25736 | + | 10.8381i | −0.220955 | + | 0.382705i | ||||
\(803\) | 14.8492 | + | 25.7196i | 0.524018 | + | 0.907626i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 20.7279 | 0.730110 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −8.12132 | + | 14.0665i | −0.285707 | + | 0.494859i | ||||
\(809\) | −4.50000 | + | 7.79423i | −0.158212 | + | 0.274030i | −0.934224 | − | 0.356687i | \(-0.883906\pi\) |
0.776012 | + | 0.630718i | \(0.217239\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.4558 | 0.964105 | 0.482053 | − | 0.876142i | \(-0.339891\pi\) | ||||
0.482053 | + | 0.876142i | \(0.339891\pi\) | |||||||
\(812\) | 11.1213 | − | 1.52192i | 0.390282 | − | 0.0534088i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.48528 | − | 14.6969i | −0.297409 | − | 0.515127i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.7574 | + | 20.3643i | 0.411338 | + | 0.712458i | ||||
\(818\) | −35.0000 | −1.22375 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 22.0919 | + | 38.2643i | 0.771012 | + | 1.33543i | 0.937009 | + | 0.349306i | \(0.113583\pi\) |
−0.165997 | + | 0.986126i | \(0.553084\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.34924 | − | 16.1934i | 0.325894 | − | 0.564465i | −0.655799 | − | 0.754936i | \(-0.727668\pi\) |
0.981693 | + | 0.190471i | \(0.0610014\pi\) | |||||||
\(824\) | 4.62132 | + | 8.00436i | 0.160991 | + | 0.278845i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 16.9706 | 0.590124 | 0.295062 | − | 0.955478i | \(-0.404660\pi\) | ||||
0.295062 | + | 0.955478i | \(0.404660\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.97056 | + | 15.5375i | −0.311561 | + | 0.539639i | −0.978700 | − | 0.205294i | \(-0.934185\pi\) |
0.667140 | + | 0.744932i | \(0.267518\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.24264 | −0.0777496 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 4.75736 | − | 8.23999i | 0.164537 | − | 0.284986i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 8.12132 | + | 14.0665i | 0.280546 | + | 0.485921i | ||||
\(839\) | −32.4853 | −1.12152 | −0.560758 | − | 0.827980i | \(-0.689490\pi\) | ||||
−0.560758 | + | 0.827980i | \(0.689490\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.0000 | −0.379310 | ||||||||
\(842\) | −2.87868 | − | 4.98602i | −0.0992059 | − | 0.171830i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −5.24264 | + | 9.08052i | −0.180459 | + | 0.312564i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.00000 | − | 17.1464i | 0.240523 | − | 0.589158i | ||||
\(848\) | 4.24264 | 0.145693 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.48528 | − | 4.30463i | 0.0851943 | − | 0.147561i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −48.1838 | −1.64978 | −0.824890 | − | 0.565293i | \(-0.808763\pi\) | ||||
−0.824890 | + | 0.565293i | \(0.808763\pi\) | |||||||
\(854\) | −5.87868 | + | 0.804479i | −0.201164 | + | 0.0275287i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7.24264 | − | 12.5446i | −0.247548 | − | 0.428766i | ||||
\(857\) | 5.74264 | − | 9.94655i | 0.196165 | − | 0.339768i | −0.751117 | − | 0.660169i | \(-0.770485\pi\) |
0.947282 | + | 0.320402i | \(0.103818\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.84924 | + | 13.5953i | 0.267813 | + | 0.463865i | 0.968297 | − | 0.249803i | \(-0.0803658\pi\) |
−0.700484 | + | 0.713668i | \(0.747032\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −28.7574 | −0.979480 | ||||||||
\(863\) | 21.1066 | + | 36.5577i | 0.718477 | + | 1.24444i | 0.961603 | + | 0.274444i | \(0.0884938\pi\) |
−0.243126 | + | 0.969995i | \(0.578173\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −14.9853 | − | 25.9553i | −0.509221 | − | 0.881996i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 9.24264 | − | 22.6398i | 0.313716 | − | 0.768443i | ||||
\(869\) | 3.21320 | 0.109000 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.272078 | − | 0.471253i | 0.00921901 | − | 0.0159678i | ||||
\(872\) | 3.12132 | − | 5.40629i | 0.105701 | − | 0.183080i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.78680 | 0.0942648 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 16.8492 | + | 29.1837i | 0.568958 | + | 0.985465i | 0.996669 | + | 0.0815494i | \(0.0259868\pi\) |
−0.427711 | + | 0.903916i | \(0.640680\pi\) | |||||||
\(878\) | −6.86396 | + | 11.8887i | −0.231647 | + | 0.401225i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 53.4853 | 1.80196 | 0.900982 | − | 0.433856i | \(-0.142847\pi\) | ||||
0.900982 | + | 0.433856i | \(0.142847\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.69848 | −0.326380 | −0.163190 | − | 0.986595i | \(-0.552178\pi\) | ||||
−0.163190 | + | 0.986595i | \(0.552178\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −13.2426 | + | 22.9369i | −0.444895 | + | 0.770581i | ||||
\(887\) | 7.13604 | + | 12.3600i | 0.239605 | + | 0.415008i | 0.960601 | − | 0.277931i | \(-0.0896488\pi\) |
−0.720996 | + | 0.692939i | \(0.756315\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 24.7132 | + | 31.8689i | 0.828854 | + | 1.06885i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 6.86396 | − | 11.8887i | 0.229822 | − | 0.398064i | ||||
\(893\) | −5.33452 | + | 9.23967i | −0.178513 | + | 0.309194i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.00000 | + | 2.44949i | −0.0334077 | + | 0.0818317i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −14.4853 | − | 25.0892i | −0.483380 | − | 0.837239i | ||||
\(899\) | 19.6066 | − | 33.9596i | 0.653917 | − | 1.13262i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 48.7279 | 1.62246 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −3.51472 | −0.116898 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.9706 | + | 25.9298i | −0.497089 | + | 0.860984i | −0.999994 | − | 0.00335764i | \(-0.998931\pi\) |
0.502905 | + | 0.864342i | \(0.332265\pi\) | |||||||
\(908\) | 4.75736 | + | 8.23999i | 0.157879 | + | 0.273454i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 39.7279 | 1.31624 | 0.658122 | − | 0.752911i | \(-0.271351\pi\) | ||||
0.658122 | + | 0.752911i | \(0.271351\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 34.4558 | − | 59.6793i | 1.14032 | − | 1.97510i | ||||
\(914\) | 14.2426 | − | 24.6690i | 0.471105 | − | 0.815977i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −8.97056 | −0.296396 | ||||||||
\(917\) | 16.2426 | − | 39.7862i | 0.536379 | − | 1.31386i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 8.72792 | + | 15.1172i | 0.287908 | + | 0.498671i | 0.973310 | − | 0.229494i | \(-0.0737071\pi\) |
−0.685403 | + | 0.728164i | \(0.740374\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −12.8787 | − | 22.3065i | −0.424137 | − | 0.734626i | ||||
\(923\) | 2.78680 | 0.0917285 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 20.0000 | 0.657596 | ||||||||
\(926\) | −8.62132 | − | 14.9326i | −0.283314 | − | 0.490715i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.12132 | + | 3.67423i | −0.0696358 | + | 0.120613i | ||||
\(929\) | −21.9853 | − | 38.0796i | −0.721314 | − | 1.24935i | −0.960473 | − | 0.278372i | \(-0.910205\pi\) |
0.239160 | − | 0.970980i | \(-0.423128\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.1213 | + | 4.21759i | −0.495581 | + | 0.138226i | ||||
\(932\) | −3.51472 | −0.115128 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −20.4558 | −0.668263 | −0.334132 | − | 0.942526i | \(-0.608443\pi\) | ||||
−0.334132 | + | 0.942526i | \(0.608443\pi\) | |||||||
\(938\) | −0.393398 | − | 0.507306i | −0.0128449 | − | 0.0165641i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 26.3345 | − | 45.6127i | 0.858481 | − | 1.48693i | −0.0148967 | − | 0.999889i | \(-0.504742\pi\) |
0.873378 | − | 0.487044i | \(-0.161925\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.13604 | + | 12.3600i | 0.232381 | + | 0.402496i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −44.4853 | −1.44634 | ||||||||
\(947\) | −19.2426 | − | 33.3292i | −0.625302 | − | 1.08305i | −0.988482 | − | 0.151336i | \(-0.951643\pi\) |
0.363181 | − | 0.931719i | \(-0.381691\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.84924 | + | 13.5953i | −0.254797 | + | 0.441322i | ||||
\(950\) | 5.60660 | + | 9.71092i | 0.181902 | + | 0.315064i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 23.4853 | 0.760763 | 0.380381 | − | 0.924830i | \(-0.375793\pi\) | ||||
0.380381 | + | 0.924830i | \(0.375793\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −10.8640 | + | 18.8169i | −0.351366 | + | 0.608583i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −4.75736 | −0.153703 | ||||||||
\(959\) | 36.6213 | − | 5.01151i | 1.18256 | − | 0.161830i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.2132 | − | 47.1347i | −0.877845 | − | 1.52047i | ||||
\(962\) | 4.48528 | − | 7.76874i | 0.144611 | − | 0.250474i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −12.7426 | − | 22.0709i | −0.410413 | − | 0.710856i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 52.6985 | 1.69467 | 0.847335 | − | 0.531060i | \(-0.178206\pi\) | ||||
0.847335 | + | 0.531060i | \(0.178206\pi\) | |||||||
\(968\) | 3.50000 | + | 6.06218i | 0.112494 | + | 0.194846i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −4.75736 | − | 8.23999i | −0.152671 | − | 0.264434i | 0.779538 | − | 0.626355i | \(-0.215454\pi\) |
−0.932209 | + | 0.361922i | \(0.882121\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 33.6066 | + | 43.3373i | 1.07738 | + | 1.38933i | ||||
\(974\) | 11.2426 | 0.360237 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.12132 | − | 1.94218i | 0.0358926 | − | 0.0621678i | ||||
\(977\) | 9.98528 | − | 17.2950i | 0.319457 | − | 0.553317i | −0.660917 | − | 0.750459i | \(-0.729833\pi\) |
0.980375 | + | 0.197142i | \(0.0631660\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −48.7279 | −1.55735 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.36396 | + | 16.2189i | 0.298816 | + | 0.517565i | ||||
\(983\) | −16.2426 | + | 28.1331i | −0.518060 | + | 0.897306i | 0.481720 | + | 0.876325i | \(0.340012\pi\) |
−0.999780 | + | 0.0209807i | \(0.993321\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 5.02944 | 0.160008 | ||||||||
\(989\) | −6.51472 | − | 11.2838i | −0.207156 | − | 0.358805i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.89340 | + | 6.74356i | −0.123678 | + | 0.214216i | −0.921215 | − | 0.389053i | \(-0.872802\pi\) |
0.797537 | + | 0.603269i | \(0.206136\pi\) | |||||||
\(992\) | 4.62132 | + | 8.00436i | 0.146727 | + | 0.254139i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.24264 | − | 3.04384i | 0.0394142 | − | 0.0965446i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.00000 | + | 12.1244i | −0.221692 | + | 0.383982i | −0.955322 | − | 0.295567i | \(-0.904491\pi\) |
0.733630 | + | 0.679549i | \(0.237825\pi\) | |||||||
\(998\) | 7.36396 | − | 12.7548i | 0.233102 | − | 0.403745i | ||||
\(999\) | 0 | 0 |
(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 | 1134.2.g.j.487.2 | yes | 4 | |
3.2 | odd | 2 | 1134.2.g.i.487.2 | yes | 4 | ||
7.2 | even | 3 | inner | 1134.2.g.j.163.2 | yes | 4 | |
7.3 | odd | 6 | 7938.2.a.bj.1.2 | 2 | |||
7.4 | even | 3 | 7938.2.a.bk.1.2 | 2 | |||
9.2 | odd | 6 | 1134.2.h.r.109.1 | 4 | |||
9.4 | even | 3 | 1134.2.e.r.865.1 | 4 | |||
9.5 | odd | 6 | 1134.2.e.s.865.1 | 4 | |||
9.7 | even | 3 | 1134.2.h.s.109.1 | 4 | |||
21.2 | odd | 6 | 1134.2.g.i.163.2 | ✓ | 4 | ||
21.11 | odd | 6 | 7938.2.a.bq.1.1 | 2 | |||
21.17 | even | 6 | 7938.2.a.bp.1.1 | 2 | |||
63.2 | odd | 6 | 1134.2.e.s.919.1 | 4 | |||
63.16 | even | 3 | 1134.2.e.r.919.1 | 4 | |||
63.23 | odd | 6 | 1134.2.h.r.541.2 | 4 | |||
63.58 | even | 3 | 1134.2.h.s.541.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1134.2.e.r.865.1 | 4 | 9.4 | even | 3 | |||
1134.2.e.r.919.1 | 4 | 63.16 | even | 3 | |||
1134.2.e.s.865.1 | 4 | 9.5 | odd | 6 | |||
1134.2.e.s.919.1 | 4 | 63.2 | odd | 6 | |||
1134.2.g.i.163.2 | ✓ | 4 | 21.2 | odd | 6 | ||
1134.2.g.i.487.2 | yes | 4 | 3.2 | odd | 2 | ||
1134.2.g.j.163.2 | yes | 4 | 7.2 | even | 3 | inner | |
1134.2.g.j.487.2 | yes | 4 | 1.1 | even | 1 | trivial | |
1134.2.h.r.109.1 | 4 | 9.2 | odd | 6 | |||
1134.2.h.r.541.2 | 4 | 63.23 | odd | 6 | |||
1134.2.h.s.109.1 | 4 | 9.7 | even | 3 | |||
1134.2.h.s.541.2 | 4 | 63.58 | even | 3 | |||
7938.2.a.bj.1.2 | 2 | 7.3 | odd | 6 | |||
7938.2.a.bk.1.2 | 2 | 7.4 | even | 3 | |||
7938.2.a.bp.1.1 | 2 | 21.17 | even | 6 | |||
7938.2.a.bq.1.1 | 2 | 21.11 | odd | 6 |