Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(109,1134)]
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([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.h (of order \(3\), 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: | \(9.05503558921\) |
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 | 541.2 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.541 |
Dual form | 1134.2.h.s.109.1 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.00000 | + | 2.44949i | 0.377964 | + | 0.925820i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.24264 | 1.27920 | 0.639602 | − | 0.768706i | \(-0.279099\pi\) | ||||
0.639602 | + | 0.768706i | \(0.279099\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.12132 | + | 1.94218i | 0.310998 | + | 0.538665i | 0.978579 | − | 0.205873i | \(-0.0660033\pi\) |
−0.667580 | + | 0.744538i | \(0.732670\pi\) | |||||||
\(14\) | −1.62132 | + | 2.09077i | −0.433316 | + | 0.558782i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.12132 | − | 1.94218i | 0.257249 | − | 0.445568i | −0.708255 | − | 0.705956i | \(-0.750517\pi\) |
0.965504 | + | 0.260389i | \(0.0838508\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.12132 | + | 3.67423i | 0.452267 | + | 0.783349i | ||||
\(23\) | 1.24264 | 0.259108 | 0.129554 | − | 0.991572i | \(-0.458645\pi\) | ||||
0.129554 | + | 0.991572i | \(0.458645\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.00000 | −1.00000 | ||||||||
\(26\) | −1.12132 | + | 1.94218i | −0.219909 | + | 0.380894i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.62132 | − | 0.358719i | −0.495383 | − | 0.0677916i | ||||
\(29\) | 2.12132 | − | 3.67423i | 0.393919 | − | 0.682288i | −0.599043 | − | 0.800717i | \(-0.704452\pi\) |
0.992963 | + | 0.118428i | \(0.0377856\pi\) | |||||||
\(30\) | 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 | −0.653476 | − | 0.756948i | \(-0.726690\pi\) |
0.982274 | + | 0.187453i | \(0.0600231\pi\) | |||||||
\(38\) | 2.24264 | 0.363804 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.74264 | + | 9.94655i | 0.896850 | + | 1.55339i | 0.831498 | + | 0.555527i | \(0.187483\pi\) |
0.0653514 | + | 0.997862i | \(0.479183\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.24264 | + | 9.08052i | −0.799495 | + | 1.38477i | 0.120450 | + | 0.992719i | \(0.461566\pi\) |
−0.919945 | + | 0.392047i | \(0.871767\pi\) | |||||||
\(44\) | −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 | ||||||||
\(49\) | −5.00000 | + | 4.89898i | −0.714286 | + | 0.699854i | ||||
\(50\) | −2.50000 | − | 4.33013i | −0.353553 | − | 0.612372i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.24264 | −0.310998 | ||||||||
\(53\) | −2.12132 | − | 3.67423i | −0.291386 | − | 0.504695i | 0.682752 | − | 0.730650i | \(-0.260783\pi\) |
−0.974138 | + | 0.225955i | \(0.927450\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.00000 | − | 2.44949i | −0.133631 | − | 0.327327i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.24264 | 0.557086 | ||||||||
\(59\) | 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 | 0.994850 | − | 0.101361i | \(-0.0323196\pi\) |
−0.585206 | + | 0.810885i | \(0.698986\pi\) | |||||||
\(74\) | 4.00000 | 0.464991 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.12132 | + | 1.94218i | 0.128624 | + | 0.222784i | ||||
\(77\) | 4.24264 | + | 10.3923i | 0.483494 | + | 1.18431i | ||||
\(78\) | 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 | ||||
\(83\) | 8.12132 | − | 14.0665i | 0.891431 | − | 1.54400i | 0.0532699 | − | 0.998580i | \(-0.483036\pi\) |
0.838161 | − | 0.545423i | \(-0.183631\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −10.4853 | −1.13066 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.24264 | −0.452267 | ||||||||
\(89\) | 5.74264 | − | 9.94655i | 0.608719 | − | 1.05433i | −0.382733 | − | 0.923859i | \(-0.625017\pi\) |
0.991452 | − | 0.130473i | \(-0.0416495\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.63604 | + | 4.68885i | −0.381160 | + | 0.491525i | ||||
\(92\) | −0.621320 | + | 1.07616i | −0.0647771 | + | 0.112197i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.37868 | + | 4.11999i | −0.245342 | + | 0.424945i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.24264 | + | 3.88437i | −0.227706 | + | 0.394398i | −0.957128 | − | 0.289666i | \(-0.906456\pi\) |
0.729422 | + | 0.684064i | \(0.239789\pi\) | |||||||
\(98\) | −6.74264 | − | 1.88064i | −0.681110 | − | 0.189973i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.50000 | − | 4.33013i | 0.250000 | − | 0.433013i | ||||
\(101\) | −16.2426 | −1.61620 | −0.808102 | − | 0.589043i | \(-0.799505\pi\) | ||||
−0.808102 | + | 0.589043i | \(0.799505\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.24264 | 0.910704 | 0.455352 | − | 0.890311i | \(-0.349513\pi\) | ||||
0.455352 | + | 0.890311i | \(0.349513\pi\) | |||||||
\(104\) | −1.12132 | − | 1.94218i | −0.109955 | − | 0.190447i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.12132 | − | 3.67423i | 0.206041 | − | 0.356873i | ||||
\(107\) | 7.24264 | − | 12.5446i | 0.700173 | − | 1.21273i | −0.268233 | − | 0.963354i | \(-0.586440\pi\) |
0.968406 | − | 0.249380i | \(-0.0802269\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.12132 | − | 5.40629i | −0.298968 | − | 0.517828i | 0.676932 | − | 0.736046i | \(-0.263309\pi\) |
−0.975900 | + | 0.218217i | \(0.929976\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.62132 | − | 2.09077i | 0.153200 | − | 0.197559i | ||||
\(113\) | −1.75736 | − | 3.04384i | −0.165318 | − | 0.286340i | 0.771450 | − | 0.636290i | \(-0.219532\pi\) |
−0.936768 | + | 0.349950i | \(0.886199\pi\) | |||||||
\(114\) | 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 | ||||||||
\(121\) | 7.00000 | 0.636364 | ||||||||
\(122\) | −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 | ||||||||
\(131\) | 16.2426 | 1.41913 | 0.709563 | − | 0.704642i | \(-0.248892\pi\) | ||||
0.709563 | + | 0.704642i | \(0.248892\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.87868 | + | 0.804479i | 0.509746 | + | 0.0697572i | ||||
\(134\) | −0.242641 | −0.0209610 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −13.9706 | −1.19359 | −0.596793 | − | 0.802395i | \(-0.703559\pi\) | ||||
−0.596793 | + | 0.802395i | \(0.703559\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.3640 | − | 17.9509i | −0.879060 | − | 1.52258i | −0.852374 | − | 0.522932i | \(-0.824838\pi\) |
−0.0266854 | − | 0.999644i | \(-0.508495\pi\) | |||||||
\(140\) | 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 | ||||||||
\(146\) | −3.50000 | + | 6.06218i | −0.289662 | + | 0.501709i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.00000 | + | 3.46410i | 0.164399 | + | 0.284747i | ||||
\(149\) | −7.75736 | −0.635508 | −0.317754 | − | 0.948173i | \(-0.602929\pi\) | ||||
−0.317754 | + | 0.948173i | \(0.602929\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.2426 | −0.914913 | −0.457457 | − | 0.889232i | \(-0.651239\pi\) | ||||
−0.457457 | + | 0.889232i | \(0.651239\pi\) | |||||||
\(152\) | −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 | −0.131487 | − | 0.991318i | \(-0.541975\pi\) |
0.924250 | − | 0.381788i | \(-0.124692\pi\) | |||||||
\(164\) | −11.4853 | −0.896850 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 16.2426 | 1.26067 | ||||||||
\(167\) | −9.10660 | − | 15.7731i | −0.704690 | − | 1.22056i | −0.966803 | − | 0.255522i | \(-0.917753\pi\) |
0.262113 | − | 0.965037i | \(-0.415581\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.98528 | − | 6.90271i | 0.306560 | − | 0.530978i | ||||
\(170\) | 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 | ||||||||
\(175\) | −5.00000 | − | 12.2474i | −0.377964 | − | 0.925820i | ||||
\(176\) | −2.12132 | − | 3.67423i | −0.159901 | − | 0.276956i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 11.4853 | 0.860858 | ||||||||
\(179\) | −3.87868 | − | 6.71807i | −0.289906 | − | 0.502132i | 0.683881 | − | 0.729594i | \(-0.260291\pi\) |
−0.973787 | + | 0.227461i | \(0.926957\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.7574 | −0.873918 | −0.436959 | − | 0.899482i | \(-0.643944\pi\) | ||||
−0.436959 | + | 0.899482i | \(0.643944\pi\) | |||||||
\(182\) | −5.87868 | − | 0.804479i | −0.435757 | − | 0.0596319i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.24264 | −0.0916087 | ||||||||
\(185\) | 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 | \(-0.114715\pi\) | |||||||
\(194\) | −4.48528 | −0.322024 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.74264 | − | 6.77962i | −0.124474 | − | 0.484258i | ||||
\(197\) | 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 | 0.902823 | + | 0.430013i | \(0.141491\pi\) |
−0.0790091 | + | 0.996874i | \(0.525176\pi\) | |||||||
\(200\) | 5.00000 | 0.353553 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.12132 | − | 14.0665i | −0.571414 | − | 0.989718i | ||||
\(203\) | 11.1213 | + | 1.52192i | 0.780564 | + | 0.106818i | ||||
\(204\) | 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 | ||||
\(209\) | 4.75736 | − | 8.23999i | 0.329073 | − | 0.569972i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.24264 | − | 9.08052i | −0.360918 | − | 0.625129i | 0.627194 | − | 0.778863i | \(-0.284203\pi\) |
−0.988112 | + | 0.153734i | \(0.950870\pi\) | |||||||
\(212\) | 4.24264 | 0.291386 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 14.4853 | 0.990193 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −24.2279 | − | 3.31552i | −1.64470 | − | 0.225072i | ||||
\(218\) | 3.12132 | − | 5.40629i | 0.211402 | − | 0.366160i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.86396 | − | 11.8887i | 0.459645 | − | 0.796128i | −0.539297 | − | 0.842116i | \(-0.681310\pi\) |
0.998942 | + | 0.0459873i | \(0.0146434\pi\) | |||||||
\(224\) | 2.62132 | + | 0.358719i | 0.175144 | + | 0.0239680i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.75736 | − | 3.04384i | 0.116898 | − | 0.202473i | ||||
\(227\) | −9.51472 | −0.631514 | −0.315757 | − | 0.948840i | \(-0.602258\pi\) | ||||
−0.315757 | + | 0.948840i | \(0.602258\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.97056 | −0.592791 | −0.296396 | − | 0.955065i | \(-0.595785\pi\) | ||||
−0.296396 | + | 0.955065i | \(0.595785\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.12132 | + | 3.67423i | −0.139272 | + | 0.241225i | ||||
\(233\) | 1.75736 | − | 3.04384i | 0.115128 | − | 0.199408i | −0.802703 | − | 0.596379i | \(-0.796605\pi\) |
0.917831 | + | 0.396971i | \(0.129939\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −10.8640 | − | 18.8169i | −0.702731 | − | 1.21717i | −0.967504 | − | 0.252855i | \(-0.918630\pi\) |
0.264773 | − | 0.964311i | \(-0.414703\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 25.4853 | 1.64165 | 0.820826 | − | 0.571179i | \(-0.193514\pi\) | ||||
0.820826 | + | 0.571179i | \(0.193514\pi\) | |||||||
\(242\) | 3.50000 | + | 6.06218i | 0.224989 | + | 0.389692i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.24264 | −0.143570 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.02944 | 0.320015 | ||||||||
\(248\) | 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 | ||||
\(257\) | 11.4853 | 0.716432 | 0.358216 | − | 0.933639i | \(-0.383385\pi\) | ||||
0.358216 | + | 0.933639i | \(0.383385\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.4853 | + | 1.43488i | 0.651524 | + | 0.0891590i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.12132 | + | 14.0665i | 0.501737 | + | 0.869034i | ||||
\(263\) | 10.9706 | 0.676474 | 0.338237 | − | 0.941061i | \(-0.390169\pi\) | ||||
0.338237 | + | 0.941061i | \(0.390169\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 2.24264 | + | 5.49333i | 0.137505 | + | 0.336817i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.121320 | − | 0.210133i | −0.00741082 | − | 0.0128359i | ||||
\(269\) | 11.4853 | + | 19.8931i | 0.700270 | + | 1.21290i | 0.968372 | + | 0.249513i | \(0.0802704\pi\) |
−0.268102 | + | 0.963391i | \(0.586396\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.24264 | + | 3.88437i | −0.136231 | + | 0.235959i | −0.926067 | − | 0.377359i | \(-0.876832\pi\) |
0.789836 | + | 0.613318i | \(0.210166\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.98528 | − | 12.0989i | −0.421996 | − | 0.730919i | ||||
\(275\) | −21.2132 | −1.27920 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 23.2132 | 1.39475 | 0.697373 | − | 0.716708i | \(-0.254352\pi\) | ||||
0.697373 | + | 0.716708i | \(0.254352\pi\) | |||||||
\(278\) | 10.3640 | − | 17.9509i | 0.621589 | − | 1.07662i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −14.2279 | + | 24.6435i | −0.848767 | + | 1.47011i | 0.0335428 | + | 0.999437i | \(0.489321\pi\) |
−0.882309 | + | 0.470670i | \(0.844012\pi\) | |||||||
\(282\) | 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 | ||||||||
\(286\) | −4.75736 | + | 8.23999i | −0.281309 | + | 0.487241i | ||||
\(287\) | −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 | ||||||||
\(292\) | −7.00000 | −0.409644 | ||||||||
\(293\) | 11.4853 | + | 19.8931i | 0.670977 | + | 1.16217i | 0.977627 | + | 0.210344i | \(0.0674585\pi\) |
−0.306650 | + | 0.951822i | \(0.599208\pi\) | |||||||
\(294\) | 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 | ||||||||
\(301\) | −27.4853 | − | 3.76127i | −1.58423 | − | 0.216796i | ||||
\(302\) | −5.62132 | − | 9.73641i | −0.323471 | − | 0.560268i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.24264 | −0.128624 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −28.0000 | −1.59804 | −0.799022 | − | 0.601302i | \(-0.794649\pi\) | ||||
−0.799022 | + | 0.601302i | \(0.794649\pi\) | |||||||
\(308\) | −11.1213 | − | 1.52192i | −0.633696 | − | 0.0867193i | ||||
\(309\) | 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 | ||||||||
\(322\) | −2.01472 | + | 2.59808i | −0.112276 | + | 0.144785i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.60660 | − | 9.71092i | −0.310998 | − | 0.538665i | ||||
\(326\) | 20.2426 | 1.12114 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.74264 | − | 9.94655i | −0.317084 | − | 0.549206i | ||||
\(329\) | −7.71320 | + | 9.94655i | −0.425243 | + | 0.548371i | ||||
\(330\) | 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 | ||||||||
\(337\) | 6.24264 | + | 10.8126i | 0.340058 | + | 0.588998i | 0.984443 | − | 0.175703i | \(-0.0562199\pi\) |
−0.644385 | + | 0.764701i | \(0.722887\pi\) | |||||||
\(338\) | 7.97056 | 0.433541 | ||||||||
\(339\) | 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 | ||||
\(344\) | 5.24264 | − | 9.08052i | 0.282664 | − | 0.489589i | ||||
\(345\) | 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 | ||||||||
\(349\) | 4.48528 | − | 7.76874i | 0.240092 | − | 0.415851i | −0.720649 | − | 0.693301i | \(-0.756156\pi\) |
0.960740 | + | 0.277450i | \(0.0894892\pi\) | |||||||
\(350\) | 8.10660 | − | 10.4539i | 0.433316 | − | 0.558782i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.12132 | − | 3.67423i | 0.113067 | − | 0.195837i | ||||
\(353\) | −21.0000 | −1.11772 | −0.558859 | − | 0.829263i | \(-0.688761\pi\) | ||||
−0.558859 | + | 0.829263i | \(0.688761\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 5.74264 | + | 9.94655i | 0.304359 | + | 0.527166i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.87868 | − | 6.71807i | 0.204995 | − | 0.355061i | ||||
\(359\) | 9.62132 | − | 16.6646i | 0.507794 | − | 0.879525i | −0.492165 | − | 0.870502i | \(-0.663794\pi\) |
0.999959 | − | 0.00902308i | \(-0.00287218\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.98528 | + | 12.0989i | 0.367646 | + | 0.636782i | ||||
\(362\) | −5.87868 | − | 10.1822i | −0.308977 | − | 0.535163i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.24264 | − | 5.49333i | −0.117546 | − | 0.287928i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.7279 | −0.716592 | −0.358296 | − | 0.933608i | \(-0.616642\pi\) | ||||
−0.358296 | + | 0.933608i | \(0.616642\pi\) | |||||||
\(368\) | −0.621320 | − | 1.07616i | −0.0323886 | − | 0.0560986i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.87868 | − | 8.87039i | 0.357123 | − | 0.460528i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 35.2132 | 1.82327 | 0.911635 | − | 0.411000i | \(-0.134820\pi\) | ||||
0.911635 | + | 0.411000i | \(0.134820\pi\) | |||||||
\(374\) | 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 | ||||
\(383\) | −18.2132 | −0.930651 | −0.465326 | − | 0.885140i | \(-0.654063\pi\) | ||||
−0.465326 | + | 0.885140i | \(0.654063\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 21.4853 | 1.09357 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.24264 | − | 3.88437i | −0.113853 | − | 0.197199i | ||||
\(389\) | −1.75736 | −0.0891017 | −0.0445508 | − | 0.999007i | \(-0.514186\pi\) | ||||
−0.0445508 | + | 0.999007i | \(0.514186\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 5.00000 | − | 4.89898i | 0.252538 | − | 0.247436i | ||||
\(393\) | 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 | −0.679952 | − | 0.733256i | \(-0.738000\pi\) |
0.974995 | + | 0.222228i | \(0.0713329\pi\) | |||||||
\(398\) | −11.6213 | + | 20.1287i | −0.582524 | + | 1.00896i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.50000 | + | 4.33013i | 0.125000 | + | 0.216506i | ||||
\(401\) | −12.5147 | −0.624955 | −0.312478 | − | 0.949925i | \(-0.601159\pi\) | ||||
−0.312478 | + | 0.949925i | \(0.601159\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −20.7279 | −1.03253 | ||||||||
\(404\) | 8.12132 | − | 14.0665i | 0.404051 | − | 0.699836i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.24264 | + | 10.3923i | 0.210559 | + | 0.515761i | ||||
\(407\) | 8.48528 | − | 14.6969i | 0.420600 | − | 0.728500i | ||||
\(408\) | 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 | ||||||||
\(412\) | −4.62132 | + | 8.00436i | −0.227676 | + | 0.394347i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.24264 | 0.109955 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 9.51472 | 0.465380 | ||||||||
\(419\) | −8.12132 | − | 14.0665i | −0.396752 | − | 0.687195i | 0.596571 | − | 0.802561i | \(-0.296530\pi\) |
−0.993323 | + | 0.115365i | \(0.963196\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.87868 | − | 4.98602i | 0.140298 | − | 0.243004i | −0.787311 | − | 0.616557i | \(-0.788527\pi\) |
0.927609 | + | 0.373553i | \(0.121861\pi\) | |||||||
\(422\) | 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 | ||||||||
\(427\) | −3.63604 | + | 4.68885i | −0.175960 | + | 0.226909i | ||||
\(428\) | 7.24264 | + | 12.5446i | 0.350086 | + | 0.606367i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.3787 | − | 24.9046i | −0.692597 | − | 1.19961i | −0.970984 | − | 0.239144i | \(-0.923133\pi\) |
0.278388 | − | 0.960469i | \(-0.410200\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −29.9706 | −1.44029 | −0.720147 | − | 0.693822i | \(-0.755926\pi\) | ||||
−0.720147 | + | 0.693822i | \(0.755926\pi\) | |||||||
\(434\) | −9.24264 | − | 22.6398i | −0.443661 | − | 1.08674i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.24264 | 0.298968 | ||||||||
\(437\) | 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 | ||||||||
\(446\) | 13.7279 | 0.650036 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.00000 | + | 2.44949i | 0.0472456 | + | 0.115728i | ||||
\(449\) | −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 | ||||
\(452\) | 3.51472 | 0.165318 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.75736 | − | 8.23999i | −0.223274 | − | 0.386722i | ||||
\(455\) | 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 | ||||||||
\(461\) | 12.8787 | − | 22.3065i | 0.599820 | − | 1.03892i | −0.393027 | − | 0.919527i | \(-0.628572\pi\) |
0.992847 | − | 0.119392i | \(-0.0380944\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 8.62132 | + | 14.9326i | 0.400667 | + | 0.693975i | 0.993807 | − | 0.111124i | \(-0.0354452\pi\) |
−0.593140 | + | 0.805100i | \(0.702112\pi\) | |||||||
\(464\) | −4.24264 | −0.196960 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.51472 | 0.162816 | ||||||||
\(467\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(468\) | 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 | ||||||||
\(475\) | −5.60660 | + | 9.71092i | −0.257249 | + | 0.445568i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 10.8640 | − | 18.8169i | 0.496906 | − | 0.860666i | ||||
\(479\) | 4.75736 | 0.217369 | 0.108685 | − | 0.994076i | \(-0.465336\pi\) | ||||
0.108685 | + | 0.994076i | \(0.465336\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.97056 | 0.409022 | ||||||||
\(482\) | 12.7426 | + | 22.0709i | 0.580411 | + | 1.00530i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.50000 | + | 6.06218i | −0.159091 | + | 0.275554i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.62132 | + | 9.73641i | 0.254726 | + | 0.441199i | 0.964821 | − | 0.262907i | \(-0.0846813\pi\) |
−0.710095 | + | 0.704106i | \(0.751348\pi\) | |||||||
\(488\) | −1.12132 | − | 1.94218i | −0.0507598 | − | 0.0879185i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.36396 | − | 16.2189i | −0.422590 | − | 0.731947i | 0.573602 | − | 0.819134i | \(-0.305546\pi\) |
−0.996192 | + | 0.0871872i | \(0.972212\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 2.51472 | + | 4.35562i | 0.113143 | + | 0.195969i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 9.24264 | 0.415007 | ||||||||
\(497\) | −1.24264 | − | 3.04384i | −0.0557401 | − | 0.136535i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.7279 | 0.659312 | 0.329656 | − | 0.944101i | \(-0.393067\pi\) | ||||
0.329656 | + | 0.944101i | \(0.393067\pi\) | |||||||
\(500\) | 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 | ||||
\(509\) | −16.2426 | −0.719942 | −0.359971 | − | 0.932963i | \(-0.617213\pi\) | ||||
−0.359971 | + | 0.932963i | \(0.617213\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.3492 | + | 14.6354i | −0.502061 | + | 0.647432i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.74264 | + | 9.94655i | 0.253297 | + | 0.438723i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.0919 | + | 17.4797i | 0.443841 | + | 0.768754i | ||||
\(518\) | 4.00000 | + | 9.79796i | 0.175750 | + | 0.430498i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −17.2279 | − | 29.8396i | −0.754769 | − | 1.30730i | −0.945489 | − | 0.325654i | \(-0.894416\pi\) |
0.190720 | − | 0.981644i | \(-0.438918\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.87868 | − | 10.1822i | 0.257057 | − | 0.445235i | −0.708395 | − | 0.705816i | \(-0.750581\pi\) |
0.965452 | + | 0.260581i | \(0.0839139\pi\) | |||||||
\(524\) | −8.12132 | + | 14.0665i | −0.354782 | + | 0.614500i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.48528 | + | 9.50079i | 0.239170 | + | 0.414254i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.4558 | −0.932863 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.63604 | + | 4.68885i | −0.157642 | + | 0.203287i | ||||
\(533\) | −12.8787 | + | 22.3065i | −0.557838 | + | 0.966203i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0.121320 | − | 0.210133i | 0.00524024 | − | 0.00907636i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −11.4853 | + | 19.8931i | −0.495166 | + | 0.857652i | ||||
\(539\) | −21.2132 | + | 20.7846i | −0.913717 | + | 0.895257i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.48528 | + | 16.4290i | −0.407804 | + | 0.706337i | −0.994643 | − | 0.103366i | \(-0.967039\pi\) |
0.586839 | + | 0.809703i | \(0.300372\pi\) | |||||||
\(542\) | −4.48528 | −0.192659 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.24264 | + | 9.08052i | −0.224159 | + | 0.388255i | −0.956067 | − | 0.293149i | \(-0.905297\pi\) |
0.731908 | + | 0.681404i | \(0.238630\pi\) | |||||||
\(548\) | 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 | ||||||||
\(553\) | 1.22792 | − | 1.58346i | 0.0522166 | − | 0.0673358i | ||||
\(554\) | 11.6066 | + | 20.1032i | 0.493117 | + | 0.854104i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 20.7279 | 0.879060 | ||||||||
\(557\) | −3.51472 | − | 6.08767i | −0.148923 | − | 0.257943i | 0.781906 | − | 0.623396i | \(-0.214247\pi\) |
−0.930830 | + | 0.365453i | \(0.880914\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −23.5147 | −0.994567 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −28.4558 | −1.20034 | ||||||||
\(563\) | −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 | \(0.254153\pi\) | |||||||
\(572\) | −9.51472 | −0.397830 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −30.1066 | − | 4.11999i | −1.25663 | − | 0.171965i | ||||
\(575\) | −6.21320 | −0.259108 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.9706 | + | 27.6618i | 0.664863 | + | 1.15158i | 0.979322 | + | 0.202306i | \(0.0648435\pi\) |
−0.314459 | + | 0.949271i | \(0.601823\pi\) | |||||||
\(578\) | 17.0000 | 0.707107 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 42.5772 | + | 5.82655i | 1.76640 | + | 0.241726i | ||||
\(582\) | 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 | ||||
\(587\) | 19.6066 | − | 33.9596i | 0.809251 | − | 1.40166i | −0.104132 | − | 0.994563i | \(-0.533207\pi\) |
0.913383 | − | 0.407100i | \(-0.133460\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.3640 | + | 17.9509i | 0.427040 | + | 0.739654i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.00000 | −0.164399 | ||||||||
\(593\) | 5.74264 | − | 9.94655i | 0.235822 | − | 0.408456i | −0.723689 | − | 0.690126i | \(-0.757555\pi\) |
0.959511 | + | 0.281670i | \(0.0908884\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.87868 | − | 6.71807i | 0.158877 | − | 0.275183i | ||||
\(597\) | 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 | ||||||||
\(601\) | −7.98528 | + | 13.8309i | −0.325726 | + | 0.564175i | −0.981659 | − | 0.190645i | \(-0.938942\pi\) |
0.655933 | + | 0.754819i | \(0.272276\pi\) | |||||||
\(602\) | −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 | ||||||||
\(607\) | −5.02944 | −0.204139 | −0.102069 | − | 0.994777i | \(-0.532546\pi\) | ||||
−0.102069 | + | 0.994777i | \(0.532546\pi\) | |||||||
\(608\) | −1.12132 | − | 1.94218i | −0.0454755 | − | 0.0787660i | ||||
\(609\) | 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 | −0.992106 | − | 0.125403i | \(-0.959978\pi\) |
0.387451 | − | 0.921891i | \(-0.373356\pi\) | |||||||
\(614\) | −14.0000 | − | 24.2487i | −0.564994 | − | 0.978598i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.24264 | − | 10.3923i | −0.170941 | − | 0.418718i | ||||
\(617\) | 11.2279 | + | 19.4473i | 0.452019 | + | 0.782920i | 0.998511 | − | 0.0545441i | \(-0.0173705\pi\) |
−0.546492 | + | 0.837464i | \(0.684037\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −18.4853 | −0.742986 | −0.371493 | − | 0.928436i | \(-0.621154\pi\) | ||||
−0.371493 | + | 0.928436i | \(0.621154\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 22.9706 | 0.921036 | ||||||||
\(623\) | 30.1066 | + | 4.11999i | 1.20620 | + | 0.165064i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 25.0000 | 1.00000 | ||||||||
\(626\) | 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 | ||||||||
\(637\) | −15.1213 | − | 4.21759i | −0.599129 | − | 0.167107i | ||||
\(638\) | 18.0000 | 0.712627 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −46.4558 | −1.83490 | −0.917448 | − | 0.397856i | \(-0.869754\pi\) | ||||
−0.917448 | + | 0.397856i | \(0.869754\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.6360 | + | 18.4222i | 0.419444 | + | 0.726499i | 0.995884 | − | 0.0906410i | \(-0.0288916\pi\) |
−0.576439 | + | 0.817140i | \(0.695558\pi\) | |||||||
\(644\) | −3.25736 | − | 0.445759i | −0.128358 | − | 0.0175654i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 13.8640 | + | 24.0131i | 0.545049 | + | 0.944052i | 0.998604 | + | 0.0528236i | \(0.0168221\pi\) |
−0.453555 | + | 0.891228i | \(0.649845\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 5.60660 | − | 9.71092i | 0.219909 | − | 0.380894i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.1213 | + | 17.5306i | 0.396381 | + | 0.686553i | ||||
\(653\) | −24.0000 | −0.939193 | −0.469596 | − | 0.882881i | \(-0.655601\pi\) | ||||
−0.469596 | + | 0.882881i | \(0.655601\pi\) | |||||||
\(654\) | 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 | ||||
\(659\) | 1.60660 | − | 2.78272i | 0.0625843 | − | 0.108399i | −0.833036 | − | 0.553219i | \(-0.813399\pi\) |
0.895620 | + | 0.444820i | \(0.146732\pi\) | |||||||
\(660\) | 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 | ||||||||
\(664\) | −8.12132 | + | 14.0665i | −0.315168 | + | 0.545888i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.63604 | − | 4.56575i | 0.102068 | − | 0.176787i | ||||
\(668\) | 18.2132 | 0.704690 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.75736 | + | 8.23999i | 0.183656 | + | 0.318101i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.25736 | − | 9.10601i | 0.202656 | − | 0.351011i | −0.746727 | − | 0.665130i | \(-0.768376\pi\) |
0.949383 | + | 0.314119i | \(0.101709\pi\) | |||||||
\(674\) | −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 | ||||||||
\(679\) | −11.7574 | − | 1.60896i | −0.451206 | − | 0.0617461i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −39.2132 | −1.50155 | ||||||||
\(683\) | −8.84924 | − | 15.3273i | −0.338607 | − | 0.586484i | 0.645564 | − | 0.763706i | \(-0.276622\pi\) |
−0.984171 | + | 0.177222i | \(0.943289\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −2.13604 | − | 18.3967i | −0.0815543 | − | 0.702388i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 10.4853 | 0.399748 | ||||||||
\(689\) | 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 | ||||||||
\(698\) | 8.97056 | 0.339541 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 13.1066 | + | 1.79360i | 0.495383 | + | 0.0677916i | ||||
\(701\) | −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 | ||||
\(704\) | 4.24264 | 0.159901 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.5000 | − | 18.1865i | −0.395173 | − | 0.684459i | ||||
\(707\) | −16.2426 | − | 39.7862i | −0.610867 | − | 1.49631i | ||||
\(708\) | 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 | ||||
\(713\) | −5.74264 | + | 9.94655i | −0.215064 | + | 0.372501i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 7.75736 | 0.289906 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 19.2426 | 0.718129 | ||||||||
\(719\) | −13.8640 | + | 24.0131i | −0.517039 | + | 0.895537i | 0.482766 | + | 0.875750i | \(0.339632\pi\) |
−0.999804 | + | 0.0197874i | \(0.993701\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.24264 | + | 22.6398i | 0.344214 | + | 0.843148i | ||||
\(722\) | −6.98528 | + | 12.0989i | −0.259965 | + | 0.450273i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.87868 | − | 10.1822i | 0.218479 | − | 0.378417i | ||||
\(725\) | −10.6066 | + | 18.3712i | −0.393919 | + | 0.682288i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.136039 | − | 0.235626i | 0.00504541 | − | 0.00873890i | −0.863492 | − | 0.504363i | \(-0.831727\pi\) |
0.868537 | + | 0.495624i | \(0.165061\pi\) | |||||||
\(728\) | 3.63604 | − | 4.68885i | 0.134761 | − | 0.173780i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.02944 | −0.185767 | −0.0928833 | − | 0.995677i | \(-0.529608\pi\) | ||||
−0.0928833 | + | 0.995677i | \(0.529608\pi\) | |||||||
\(734\) | −6.86396 | − | 11.8887i | −0.253353 | − | 0.438821i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.621320 | − | 1.07616i | 0.0229022 | − | 0.0396677i | ||||
\(737\) | −0.514719 | + | 0.891519i | −0.0189599 | + | 0.0328395i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.24264 | + | 5.61642i | 0.119282 | + | 0.206603i | 0.919484 | − | 0.393129i | \(-0.128607\pi\) |
−0.800201 | + | 0.599732i | \(0.795274\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 11.1213 | + | 1.52192i | 0.408277 | + | 0.0558714i | ||||
\(743\) | 21.6213 | + | 37.4492i | 0.793209 | + | 1.37388i | 0.923970 | + | 0.382465i | \(0.124925\pi\) |
−0.130761 | + | 0.991414i | \(0.541742\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 17.6066 | + | 30.4955i | 0.644623 | + | 1.11652i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 37.9706 | + | 5.19615i | 1.38741 | + | 0.189863i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.75736 | −0.319561 | −0.159780 | − | 0.987153i | \(-0.551079\pi\) | ||||
−0.159780 | + | 0.987153i | \(0.551079\pi\) | |||||||
\(752\) | 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 | ||||||||
\(761\) | −21.0000 | −0.761249 | −0.380625 | − | 0.924730i | \(-0.624291\pi\) | ||||
−0.380625 | + | 0.924730i | \(0.624291\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.1213 | − | 13.0519i | 0.366416 | − | 0.472512i | ||||
\(764\) | 8.48528 | 0.306987 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.10660 | − | 15.7731i | −0.329035 | − | 0.569905i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.24264 | − | 3.88437i | −0.0808717 | − | 0.140074i | 0.822753 | − | 0.568399i | \(-0.192437\pi\) |
−0.903625 | + | 0.428325i | \(0.859104\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.7426 | + | 18.6068i | 0.386636 | + | 0.669673i | ||||
\(773\) | −1.39340 | − | 2.41344i | −0.0501171 | − | 0.0868053i | 0.839879 | − | 0.542774i | \(-0.182626\pi\) |
−0.889996 | + | 0.455969i | \(0.849293\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 23.1066 | − | 40.0218i | 0.830014 | − | 1.43763i | ||||
\(776\) | 2.24264 | − | 3.88437i | 0.0805061 | − | 0.139441i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.878680 | − | 1.52192i | −0.0315022 | − | 0.0545634i | ||||
\(779\) | 25.7574 | 0.922853 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.27208 | −0.188650 | ||||||||
\(782\) | 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 | ||||
\(794\) | 11.7574 | 0.417253 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −23.2426 | −0.823814 | ||||||||
\(797\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(798\) | 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 | ||||||||
\(806\) | −10.3640 | − | 17.9509i | −0.365055 | − | 0.632294i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 16.2426 | 0.571414 | ||||||||
\(809\) | −4.50000 | − | 7.79423i | −0.158212 | − | 0.274030i | 0.776012 | − | 0.630718i | \(-0.217239\pi\) |
−0.934224 | + | 0.356687i | \(0.883906\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.4558 | 0.964105 | 0.482053 | − | 0.876142i | \(-0.339891\pi\) | ||||
0.482053 | + | 0.876142i | \(0.339891\pi\) | |||||||
\(812\) | −6.87868 | + | 8.87039i | −0.241394 | + | 0.311290i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 16.9706 | 0.594818 | ||||||||
\(815\) | 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 | \(0.0610014\pi\) | |||||||
\(824\) | −9.24264 | −0.321983 | ||||||||
\(825\) | 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 | 0.667140 | − | 0.744932i | \(-0.267518\pi\) |
−0.978700 | + | 0.205294i | \(0.934185\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.12132 | + | 1.94218i | 0.0388748 | + | 0.0673331i | ||||
\(833\) | 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 | ||||
\(839\) | 16.2426 | − | 28.1331i | 0.560758 | − | 0.971262i | −0.436672 | − | 0.899621i | \(-0.643843\pi\) |
0.997430 | − | 0.0716411i | \(-0.0228236\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.50000 | + | 9.52628i | 0.189655 | + | 0.328492i | ||||
\(842\) | 5.75736 | 0.198412 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 10.4853 | 0.360918 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.00000 | + | 17.1464i | 0.240523 | + | 0.589158i | ||||
\(848\) | −2.12132 | + | 3.67423i | −0.0728464 | + | 0.126174i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.48528 | − | 4.30463i | 0.0851943 | − | 0.147561i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.0919 | − | 41.7284i | 0.824890 | − | 1.42875i | −0.0771127 | − | 0.997022i | \(-0.524570\pi\) |
0.902003 | − | 0.431730i | \(-0.142097\pi\) | |||||||
\(854\) | −5.87868 | − | 0.804479i | −0.201164 | − | 0.0275287i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7.24264 | + | 12.5446i | −0.247548 | + | 0.428766i | ||||
\(857\) | −11.4853 | −0.392330 | −0.196165 | − | 0.980571i | \(-0.562849\pi\) | ||||
−0.196165 | + | 0.980571i | \(0.562849\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.6985 | −0.535625 | −0.267813 | − | 0.963471i | \(-0.586301\pi\) | ||||
−0.267813 | + | 0.963471i | \(0.586301\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.3787 | − | 24.9046i | 0.489740 | − | 0.848254i | ||||
\(863\) | 21.1066 | − | 36.5577i | 0.718477 | − | 1.24444i | −0.243126 | − | 0.969995i | \(-0.578173\pi\) |
0.961603 | − | 0.274444i | \(-0.0884938\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −14.9853 | − | 25.9553i | −0.509221 | − | 0.881996i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 14.9853 | − | 19.3242i | 0.508634 | − | 0.655907i | ||||
\(869\) | −1.60660 | − | 2.78272i | −0.0545002 | − | 0.0943972i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.544156 | −0.0184380 | ||||||||
\(872\) | 3.12132 | + | 5.40629i | 0.105701 | + | 0.183080i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.78680 | 0.0942648 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −33.6985 | −1.13792 | −0.568958 | − | 0.822366i | \(-0.692653\pi\) | ||||
−0.568958 | + | 0.822366i | \(0.692653\pi\) | |||||||
\(878\) | −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 | ||||
\(887\) | −14.2721 | −0.479209 | −0.239605 | − | 0.970871i | \(-0.577018\pi\) | ||||
−0.239605 | + | 0.970871i | \(0.577018\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 15.2426 | + | 37.3367i | 0.511222 | + | 1.25223i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 6.86396 | + | 11.8887i | 0.229822 | + | 0.398064i | ||||
\(893\) | 10.6690 | 0.357026 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.62132 | + | 2.09077i | −0.0541645 | + | 0.0698477i | ||||
\(897\) | 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 | ||||||||
\(902\) | −24.3640 | + | 42.1996i | −0.811231 | + | 1.40509i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.75736 | + | 3.04384i | 0.0584489 | + | 0.101236i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 29.9411 | 0.994179 | 0.497089 | − | 0.867699i | \(-0.334402\pi\) | ||||
0.497089 | + | 0.867699i | \(0.334402\pi\) | |||||||
\(908\) | 4.75736 | − | 8.23999i | 0.157879 | − | 0.273454i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −19.8640 | + | 34.4054i | −0.658122 | + | 1.13990i | 0.322979 | + | 0.946406i | \(0.395316\pi\) |
−0.981101 | + | 0.193495i | \(0.938018\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 34.4558 | − | 59.6793i | 1.14032 | − | 1.97510i | ||||
\(914\) | 14.2426 | − | 24.6690i | 0.471105 | − | 0.815977i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.48528 | − | 7.76874i | 0.148198 | − | 0.256686i | ||||
\(917\) | 16.2426 | + | 39.7862i | 0.536379 | + | 1.31386i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 8.72792 | − | 15.1172i | 0.287908 | − | 0.498671i | −0.685403 | − | 0.728164i | \(-0.740374\pi\) |
0.973310 | + | 0.229494i | \(0.0737071\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 25.7574 | 0.848273 | ||||||||
\(923\) | −1.39340 | − | 2.41344i | −0.0458643 | − | 0.0794392i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.0000 | + | 17.3205i | −0.328798 | + | 0.569495i | ||||
\(926\) | −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 | ||||||||
\(931\) | 3.90812 | + | 15.2042i | 0.128083 | + | 0.498299i | ||||
\(932\) | 1.75736 | + | 3.04384i | 0.0575642 | + | 0.0997042i | ||||
\(933\) | 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 | \(0.608443\pi\) | |||||||
\(938\) | −0.242641 | − | 0.594346i | −0.00792250 | − | 0.0194061i | ||||
\(939\) | 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 | ||||
\(950\) | −11.2132 | −0.363804 | ||||||||
\(951\) | 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 | ||||||||
\(956\) | 21.7279 | 0.702731 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.37868 | + | 4.11999i | 0.0768517 | + | 0.133111i | ||||
\(959\) | −13.9706 | − | 34.2208i | −0.451133 | − | 1.10505i | ||||
\(960\) | 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 | ||||||||
\(967\) | −26.3492 | − | 45.6382i | −0.847335 | − | 1.46763i | −0.883578 | − | 0.468283i | \(-0.844873\pi\) |
0.0362438 | − | 0.999343i | \(-0.488461\pi\) | |||||||
\(968\) | −7.00000 | −0.224989 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −4.75736 | + | 8.23999i | −0.152671 | + | 0.264434i | −0.932209 | − | 0.361922i | \(-0.882121\pi\) |
0.779538 | + | 0.626355i | \(0.215454\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 33.6066 | − | 43.3373i | 1.07738 | − | 1.38933i | ||||
\(974\) | −5.62132 | + | 9.73641i | −0.180119 | + | 0.311975i | ||||
\(975\) | 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 | ||||||||
\(979\) | 24.3640 | − | 42.1996i | 0.778676 | − | 1.34871i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.36396 | − | 16.2189i | 0.298816 | − | 0.517565i | ||||
\(983\) | 32.4853 | 1.03612 | 0.518060 | − | 0.855344i | \(-0.326654\pi\) | ||||
0.518060 | + | 0.855344i | \(0.326654\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.51472 | + | 4.35562i | −0.0800039 | + | 0.138571i | ||||
\(989\) | −6.51472 | + | 11.2838i | −0.207156 | + | 0.358805i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.89340 | − | 6.74356i | −0.123678 | − | 0.214216i | 0.797537 | − | 0.603269i | \(-0.206136\pi\) |
−0.921215 | + | 0.389053i | \(0.872802\pi\) | |||||||
\(992\) | 4.62132 | + | 8.00436i | 0.146727 | + | 0.254139i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.01472 | − | 2.59808i | 0.0639030 | − | 0.0824060i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.0000 | 0.443384 | 0.221692 | − | 0.975117i | \(-0.428842\pi\) | ||||
0.221692 | + | 0.975117i | \(0.428842\pi\) | |||||||
\(998\) | 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.h.s.541.2 | 4 | ||
3.2 | odd | 2 | 1134.2.h.r.541.2 | 4 | |||
7.4 | even | 3 | 1134.2.e.r.865.1 | 4 | |||
9.2 | odd | 6 | 1134.2.g.i.163.2 | ✓ | 4 | ||
9.4 | even | 3 | 1134.2.e.r.919.1 | 4 | |||
9.5 | odd | 6 | 1134.2.e.s.919.1 | 4 | |||
9.7 | even | 3 | 1134.2.g.j.163.2 | yes | 4 | ||
21.11 | odd | 6 | 1134.2.e.s.865.1 | 4 | |||
63.2 | odd | 6 | 7938.2.a.bq.1.1 | 2 | |||
63.4 | even | 3 | inner | 1134.2.h.s.109.1 | 4 | ||
63.11 | odd | 6 | 1134.2.g.i.487.2 | yes | 4 | ||
63.16 | even | 3 | 7938.2.a.bk.1.2 | 2 | |||
63.25 | even | 3 | 1134.2.g.j.487.2 | yes | 4 | ||
63.32 | odd | 6 | 1134.2.h.r.109.1 | 4 | |||
63.47 | even | 6 | 7938.2.a.bp.1.1 | 2 | |||
63.61 | odd | 6 | 7938.2.a.bj.1.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1134.2.e.r.865.1 | 4 | 7.4 | even | 3 | |||
1134.2.e.r.919.1 | 4 | 9.4 | even | 3 | |||
1134.2.e.s.865.1 | 4 | 21.11 | odd | 6 | |||
1134.2.e.s.919.1 | 4 | 9.5 | odd | 6 | |||
1134.2.g.i.163.2 | ✓ | 4 | 9.2 | odd | 6 | ||
1134.2.g.i.487.2 | yes | 4 | 63.11 | odd | 6 | ||
1134.2.g.j.163.2 | yes | 4 | 9.7 | even | 3 | ||
1134.2.g.j.487.2 | yes | 4 | 63.25 | even | 3 | ||
1134.2.h.r.109.1 | 4 | 63.32 | odd | 6 | |||
1134.2.h.r.541.2 | 4 | 3.2 | odd | 2 | |||
1134.2.h.s.109.1 | 4 | 63.4 | even | 3 | inner | ||
1134.2.h.s.541.2 | 4 | 1.1 | even | 1 | trivial | ||
7938.2.a.bj.1.2 | 2 | 63.61 | odd | 6 | |||
7938.2.a.bk.1.2 | 2 | 63.16 | even | 3 | |||
7938.2.a.bp.1.1 | 2 | 63.47 | even | 6 | |||
7938.2.a.bq.1.1 | 2 | 63.2 | odd | 6 |