Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1400,1,Mod(69,1400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1400, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 9, 5]))
N = Newforms(chi, 1, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1400.69");
S:= CuspForms(chi, 1);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1400 = 2^{3} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 1400.cc (of order \(10\), degree \(4\), 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: | \(0.698691017686\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{40})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{12} + x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Projective image: | \(D_{20}\) |
Projective field: | Galois closure of \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
Embedding invariants
Embedding label | 1189.1 | ||
Root | \(-0.156434 + 0.987688i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1400.1189 |
Dual form | 1400.1.cc.a.909.1 |
$q$-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 \(\left(\mathbb{Z}/1400\mathbb{Z}\right)^\times\).
\(n\) | \(351\) | \(701\) | \(801\) | \(1177\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | − | 0.809017i | −0.587785 | − | 0.809017i | ||||
\(3\) | −1.69480 | − | 0.550672i | −1.69480 | − | 0.550672i | −0.707107 | − | 0.707107i | \(-0.750000\pi\) |
−0.987688 | + | 0.156434i | \(0.950000\pi\) | |||||||
\(4\) | −0.309017 | + | 0.951057i | −0.309017 | + | 0.951057i | ||||
\(5\) | 0.987688 | + | 0.156434i | 0.987688 | + | 0.156434i | ||||
\(6\) | 0.550672 | + | 1.69480i | 0.550672 | + | 1.69480i | ||||
\(7\) | − | 1.00000i | − | 1.00000i | ||||||
\(8\) | 0.951057 | − | 0.309017i | 0.951057 | − | 0.309017i | ||||
\(9\) | 1.76007 | + | 1.27877i | 1.76007 | + | 1.27877i | ||||
\(10\) | −0.453990 | − | 0.891007i | −0.453990 | − | 0.891007i | ||||
\(11\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(12\) | 1.04744 | − | 1.44168i | 1.04744 | − | 1.44168i | ||||
\(13\) | −0.533698 | + | 0.734572i | −0.533698 | + | 0.734572i | −0.987688 | − | 0.156434i | \(-0.950000\pi\) |
0.453990 | + | 0.891007i | \(0.350000\pi\) | |||||||
\(14\) | −0.809017 | + | 0.587785i | −0.809017 | + | 0.587785i | ||||
\(15\) | −1.58779 | − | 0.809017i | −1.58779 | − | 0.809017i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.809017 | − | 0.587785i | ||||
\(17\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(18\) | − | 2.17557i | − | 2.17557i | ||||||
\(19\) | 0.437016 | + | 1.34500i | 0.437016 | + | 1.34500i | 0.891007 | + | 0.453990i | \(0.150000\pi\) |
−0.453990 | + | 0.891007i | \(0.650000\pi\) | |||||||
\(20\) | −0.453990 | + | 0.891007i | −0.453990 | + | 0.891007i | ||||
\(21\) | −0.550672 | + | 1.69480i | −0.550672 | + | 1.69480i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.11803 | + | 1.53884i | 1.11803 | + | 1.53884i | 0.809017 | + | 0.587785i | \(0.200000\pi\) |
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(24\) | −1.78201 | −1.78201 | ||||||||
\(25\) | 0.951057 | + | 0.309017i | 0.951057 | + | 0.309017i | ||||
\(26\) | 0.907981 | 0.907981 | ||||||||
\(27\) | −1.23134 | − | 1.69480i | −1.23134 | − | 1.69480i | ||||
\(28\) | 0.951057 | + | 0.309017i | 0.951057 | + | 0.309017i | ||||
\(29\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(30\) | 0.278768 | + | 1.76007i | 0.278768 | + | 1.76007i | ||||
\(31\) | 0 | 0 | −0.309017 | − | 0.951057i | \(-0.600000\pi\) | ||||
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(32\) | 1.00000i | 1.00000i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.156434 | − | 0.987688i | 0.156434 | − | 0.987688i | ||||
\(36\) | −1.76007 | + | 1.27877i | −1.76007 | + | 1.27877i | ||||
\(37\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(38\) | 0.831254 | − | 1.14412i | 0.831254 | − | 1.14412i | ||||
\(39\) | 1.30902 | − | 0.951057i | 1.30902 | − | 0.951057i | ||||
\(40\) | 0.987688 | − | 0.156434i | 0.987688 | − | 0.156434i | ||||
\(41\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(42\) | 1.69480 | − | 0.550672i | 1.69480 | − | 0.550672i | ||||
\(43\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.53836 | + | 1.53836i | 1.53836 | + | 1.53836i | ||||
\(46\) | 0.587785 | − | 1.80902i | 0.587785 | − | 1.80902i | ||||
\(47\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(48\) | 1.04744 | + | 1.44168i | 1.04744 | + | 1.44168i | ||||
\(49\) | −1.00000 | −1.00000 | ||||||||
\(50\) | −0.309017 | − | 0.951057i | −0.309017 | − | 0.951057i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.533698 | − | 0.734572i | −0.533698 | − | 0.734572i | ||||
\(53\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(54\) | −0.647354 | + | 1.99235i | −0.647354 | + | 1.99235i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.309017 | − | 0.951057i | −0.309017 | − | 0.951057i | ||||
\(57\) | − | 2.52015i | − | 2.52015i | ||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.253116 | − | 0.183900i | −0.253116 | − | 0.183900i | 0.453990 | − | 0.891007i | \(-0.350000\pi\) |
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(60\) | 1.26007 | − | 1.26007i | 1.26007 | − | 1.26007i | ||||
\(61\) | 1.59811 | − | 1.16110i | 1.59811 | − | 1.16110i | 0.707107 | − | 0.707107i | \(-0.250000\pi\) |
0.891007 | − | 0.453990i | \(-0.150000\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.27877 | − | 1.76007i | 1.27877 | − | 1.76007i | ||||
\(64\) | 0.809017 | − | 0.587785i | 0.809017 | − | 0.587785i | ||||
\(65\) | −0.642040 | + | 0.642040i | −0.642040 | + | 0.642040i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.04744 | − | 3.22369i | −1.04744 | − | 3.22369i | ||||
\(70\) | −0.891007 | + | 0.453990i | −0.891007 | + | 0.453990i | ||||
\(71\) | −0.363271 | + | 1.11803i | −0.363271 | + | 1.11803i | 0.587785 | + | 0.809017i | \(0.300000\pi\) |
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(72\) | 2.06909 | + | 0.672288i | 2.06909 | + | 0.672288i | ||||
\(73\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.44168 | − | 1.04744i | −1.44168 | − | 1.04744i | ||||
\(76\) | −1.41421 | −1.41421 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.53884 | − | 0.500000i | −1.53884 | − | 0.500000i | ||||
\(79\) | 0.587785 | − | 1.80902i | 0.587785 | − | 1.80902i | − | 1.00000i | \(-0.5\pi\) | |
0.587785 | − | 0.809017i | \(-0.300000\pi\) | |||||||
\(80\) | −0.707107 | − | 0.707107i | −0.707107 | − | 0.707107i | ||||
\(81\) | 0.481305 | + | 1.48131i | 0.481305 | + | 1.48131i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.87869 | − | 0.610425i | 1.87869 | − | 0.610425i | 0.891007 | − | 0.453990i | \(-0.150000\pi\) |
0.987688 | − | 0.156434i | \(-0.0500000\pi\) | |||||||
\(84\) | −1.44168 | − | 1.04744i | −1.44168 | − | 1.04744i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(90\) | 0.340334 | − | 2.14879i | 0.340334 | − | 2.14879i | ||||
\(91\) | 0.734572 | + | 0.533698i | 0.734572 | + | 0.533698i | ||||
\(92\) | −1.80902 | + | 0.587785i | −1.80902 | + | 0.587785i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.221232 | + | 1.39680i | 0.221232 | + | 1.39680i | ||||
\(96\) | 0.550672 | − | 1.69480i | 0.550672 | − | 1.69480i | ||||
\(97\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(98\) | 0.587785 | + | 0.809017i | 0.587785 | + | 0.809017i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.587785 | + | 0.809017i | −0.587785 | + | 0.809017i | ||||
\(101\) | −0.907981 | −0.907981 | −0.453990 | − | 0.891007i | \(-0.650000\pi\) | ||||
−0.453990 | + | 0.891007i | \(0.650000\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(104\) | −0.280582 | + | 0.863541i | −0.280582 | + | 0.863541i | ||||
\(105\) | −0.809017 | + | 1.58779i | −0.809017 | + | 1.58779i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(108\) | 1.99235 | − | 0.647354i | 1.99235 | − | 0.647354i | ||||
\(109\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.587785 | + | 0.809017i | −0.587785 | + | 0.809017i | ||||
\(113\) | −0.951057 | + | 1.30902i | −0.951057 | + | 1.30902i | 1.00000i | \(0.5\pi\) | ||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(114\) | −2.03884 | + | 1.48131i | −2.03884 | + | 1.48131i | ||||
\(115\) | 0.863541 | + | 1.69480i | 0.863541 | + | 1.69480i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.87869 | + | 0.610425i | −1.87869 | + | 0.610425i | ||||
\(118\) | 0.312869i | 0.312869i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −1.76007 | − | 0.278768i | −1.76007 | − | 0.278768i | ||||
\(121\) | 0.309017 | − | 0.951057i | 0.309017 | − | 0.951057i | ||||
\(122\) | −1.87869 | − | 0.610425i | −1.87869 | − | 0.610425i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.891007 | + | 0.453990i | 0.891007 | + | 0.453990i | ||||
\(126\) | −2.17557 | −2.17557 | ||||||||
\(127\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(128\) | −0.951057 | − | 0.309017i | −0.951057 | − | 0.309017i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.896802 | + | 0.142040i | 0.896802 | + | 0.142040i | ||||
\(131\) | 0.610425 | + | 1.87869i | 0.610425 | + | 1.87869i | 0.453990 | + | 0.891007i | \(0.350000\pi\) |
0.156434 | + | 0.987688i | \(0.450000\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.34500 | − | 0.437016i | 1.34500 | − | 0.437016i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.951057 | − | 1.86655i | −0.951057 | − | 1.86655i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(138\) | −1.99235 | + | 2.74224i | −1.99235 | + | 2.74224i | ||||
\(139\) | 1.14412 | − | 0.831254i | 1.14412 | − | 0.831254i | 0.156434 | − | 0.987688i | \(-0.450000\pi\) |
0.987688 | + | 0.156434i | \(0.0500000\pi\) | |||||||
\(140\) | 0.891007 | + | 0.453990i | 0.891007 | + | 0.453990i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.11803 | − | 0.363271i | 1.11803 | − | 0.363271i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −0.672288 | − | 2.06909i | −0.672288 | − | 2.06909i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.69480 | + | 0.550672i | 1.69480 | + | 0.550672i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(150\) | 1.78201i | 1.78201i | ||||||||
\(151\) | −0.618034 | −0.618034 | −0.309017 | − | 0.951057i | \(-0.600000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(152\) | 0.831254 | + | 1.14412i | 0.831254 | + | 1.14412i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.500000 | + | 1.53884i | 0.500000 | + | 1.53884i | ||||
\(157\) | − | 1.97538i | − | 1.97538i | −0.156434 | − | 0.987688i | \(-0.550000\pi\) | ||
0.156434 | − | 0.987688i | \(-0.450000\pi\) | |||||||
\(158\) | −1.80902 | + | 0.587785i | −1.80902 | + | 0.587785i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.156434 | + | 0.987688i | −0.156434 | + | 0.987688i | ||||
\(161\) | 1.53884 | − | 1.11803i | 1.53884 | − | 1.11803i | ||||
\(162\) | 0.915497 | − | 1.26007i | 0.915497 | − | 1.26007i | ||||
\(163\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.59811 | − | 1.16110i | −1.59811 | − | 1.16110i | ||||
\(167\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(168\) | 1.78201i | 1.78201i | ||||||||
\(169\) | 0.0542543 | + | 0.166977i | 0.0542543 | + | 0.166977i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.950759 | + | 2.92614i | −0.950759 | + | 2.92614i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.183900 | − | 0.253116i | −0.183900 | − | 0.253116i | 0.707107 | − | 0.707107i | \(-0.250000\pi\) |
−0.891007 | + | 0.453990i | \(0.850000\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.309017 | − | 0.951057i | 0.309017 | − | 0.951057i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.327712 | + | 0.451057i | 0.327712 | + | 0.451057i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(180\) | −1.93845 | + | 0.987688i | −1.93845 | + | 0.987688i | ||||
\(181\) | 0.0966818 | + | 0.297556i | 0.0966818 | + | 0.297556i | 0.987688 | − | 0.156434i | \(-0.0500000\pi\) |
−0.891007 | + | 0.453990i | \(0.850000\pi\) | |||||||
\(182\) | − | 0.907981i | − | 0.907981i | ||||||
\(183\) | −3.34786 | + | 1.08779i | −3.34786 | + | 1.08779i | ||||
\(184\) | 1.53884 | + | 1.11803i | 1.53884 | + | 1.11803i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.69480 | + | 1.23134i | −1.69480 | + | 1.23134i | ||||
\(190\) | 1.00000 | − | 1.00000i | 1.00000 | − | 1.00000i | ||||
\(191\) | −1.53884 | − | 1.11803i | −1.53884 | − | 1.11803i | −0.951057 | − | 0.309017i | \(-0.900000\pi\) |
−0.587785 | − | 0.809017i | \(-0.700000\pi\) | |||||||
\(192\) | −1.69480 | + | 0.550672i | −1.69480 | + | 0.550672i | ||||
\(193\) | 1.61803i | 1.61803i | 0.587785 | + | 0.809017i | \(0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.44168 | − | 0.734572i | 1.44168 | − | 0.734572i | ||||
\(196\) | 0.309017 | − | 0.951057i | 0.309017 | − | 0.951057i | ||||
\(197\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(200\) | 1.00000 | 1.00000 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.533698 | + | 0.734572i | 0.533698 | + | 0.734572i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.13818i | 4.13818i | ||||||||
\(208\) | 0.863541 | − | 0.280582i | 0.863541 | − | 0.280582i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 1.76007 | − | 0.278768i | 1.76007 | − | 0.278768i | ||||
\(211\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.23134 | − | 1.69480i | 1.23134 | − | 1.69480i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.69480 | − | 1.23134i | −1.69480 | − | 1.23134i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(224\) | 1.00000 | 1.00000 | ||||||||
\(225\) | 1.27877 | + | 1.76007i | 1.27877 | + | 1.76007i | ||||
\(226\) | 1.61803 | 1.61803 | ||||||||
\(227\) | 1.04744 | + | 1.44168i | 1.04744 | + | 1.44168i | 0.891007 | + | 0.453990i | \(0.150000\pi\) |
0.156434 | + | 0.987688i | \(0.450000\pi\) | |||||||
\(228\) | 2.39680 | + | 0.778768i | 2.39680 | + | 0.778768i | ||||
\(229\) | 0.0966818 | − | 0.297556i | 0.0966818 | − | 0.297556i | −0.891007 | − | 0.453990i | \(-0.850000\pi\) |
0.987688 | + | 0.156434i | \(0.0500000\pi\) | |||||||
\(230\) | 0.863541 | − | 1.69480i | 0.863541 | − | 1.69480i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.11803 | + | 0.363271i | −1.11803 | + | 0.363271i | −0.809017 | − | 0.587785i | \(-0.800000\pi\) |
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(234\) | 1.59811 | + | 1.16110i | 1.59811 | + | 1.16110i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.253116 | − | 0.183900i | 0.253116 | − | 0.183900i | ||||
\(237\) | −1.99235 | + | 2.74224i | −1.99235 | + | 2.74224i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.500000 | + | 0.363271i | −0.500000 | + | 0.363271i | −0.809017 | − | 0.587785i | \(-0.800000\pi\) |
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(240\) | 0.809017 | + | 1.58779i | 0.809017 | + | 1.58779i | ||||
\(241\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(242\) | −0.951057 | + | 0.309017i | −0.951057 | + | 0.309017i | ||||
\(243\) | − | 0.680668i | − | 0.680668i | ||||||
\(244\) | 0.610425 | + | 1.87869i | 0.610425 | + | 1.87869i | ||||
\(245\) | −0.987688 | − | 0.156434i | −0.987688 | − | 0.156434i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.22123 | − | 0.396802i | −1.22123 | − | 0.396802i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.52015 | −3.52015 | ||||||||
\(250\) | −0.156434 | − | 0.987688i | −0.156434 | − | 0.987688i | ||||
\(251\) | −1.97538 | −1.97538 | −0.987688 | − | 0.156434i | \(-0.950000\pi\) | ||||
−0.987688 | + | 0.156434i | \(0.950000\pi\) | |||||||
\(252\) | 1.27877 | + | 1.76007i | 1.27877 | + | 1.76007i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | + | 0.951057i | 0.309017 | + | 0.951057i | ||||
\(257\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.412215 | − | 0.809017i | −0.412215 | − | 0.809017i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.16110 | − | 1.59811i | 1.16110 | − | 1.59811i | ||||
\(263\) | 0.363271 | − | 0.500000i | 0.363271 | − | 0.500000i | −0.587785 | − | 0.809017i | \(-0.700000\pi\) |
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −1.14412 | − | 0.831254i | −1.14412 | − | 0.831254i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −0.0966818 | − | 0.297556i | −0.0966818 | − | 0.297556i | 0.891007 | − | 0.453990i | \(-0.150000\pi\) |
−0.987688 | + | 0.156434i | \(0.950000\pi\) | |||||||
\(270\) | −0.951057 | + | 1.86655i | −0.951057 | + | 1.86655i | ||||
\(271\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.951057 | − | 1.30902i | −0.951057 | − | 1.30902i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.38959 | 3.38959 | ||||||||
\(277\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(278\) | −1.34500 | − | 0.437016i | −1.34500 | − | 0.437016i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.156434 | − | 0.987688i | −0.156434 | − | 0.987688i | ||||
\(281\) | 0.500000 | + | 1.53884i | 0.500000 | + | 1.53884i | 0.809017 | + | 0.587785i | \(0.200000\pi\) |
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.69480 | + | 0.550672i | −1.69480 | + | 0.550672i | −0.987688 | − | 0.156434i | \(-0.950000\pi\) |
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(284\) | −0.951057 | − | 0.690983i | −0.951057 | − | 0.690983i | ||||
\(285\) | 0.394238 | − | 2.48912i | 0.394238 | − | 2.48912i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.27877 | + | 1.76007i | −1.27877 | + | 1.76007i | ||||
\(289\) | 0.809017 | − | 0.587785i | 0.809017 | − | 0.587785i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 1.41421i | − | 1.41421i | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||
0.707107 | − | 0.707107i | \(-0.250000\pi\) | |||||||
\(294\) | −0.550672 | − | 1.69480i | −0.550672 | − | 1.69480i | ||||
\(295\) | −0.221232 | − | 0.221232i | −0.221232 | − | 0.221232i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.72708 | −1.72708 | ||||||||
\(300\) | 1.44168 | − | 1.04744i | 1.44168 | − | 1.04744i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0.363271 | + | 0.500000i | 0.363271 | + | 0.500000i | ||||
\(303\) | 1.53884 | + | 0.500000i | 1.53884 | + | 0.500000i | ||||
\(304\) | 0.437016 | − | 1.34500i | 0.437016 | − | 1.34500i | ||||
\(305\) | 1.76007 | − | 0.896802i | 1.76007 | − | 0.896802i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 1.41421i | − | 1.41421i | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||
0.707107 | − | 0.707107i | \(-0.250000\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(312\) | 0.951057 | − | 1.30902i | 0.951057 | − | 1.30902i | ||||
\(313\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(314\) | −1.59811 | + | 1.16110i | −1.59811 | + | 1.16110i | ||||
\(315\) | 1.53836 | − | 1.53836i | 1.53836 | − | 1.53836i | ||||
\(316\) | 1.53884 | + | 1.11803i | 1.53884 | + | 1.11803i | ||||
\(317\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0.891007 | − | 0.453990i | 0.891007 | − | 0.453990i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.80902 | − | 0.587785i | −1.80902 | − | 0.587785i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −1.55754 | −1.55754 | ||||||||
\(325\) | −0.734572 | + | 0.533698i | −0.734572 | + | 0.533698i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0 | 0 | −0.309017 | − | 0.951057i | \(-0.600000\pi\) | ||||
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(332\) | 1.97538i | 1.97538i | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 1.44168 | − | 1.04744i | 1.44168 | − | 1.04744i | ||||
\(337\) | 0.363271 | − | 0.500000i | 0.363271 | − | 0.500000i | −0.587785 | − | 0.809017i | \(-0.700000\pi\) |
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(338\) | 0.103198 | − | 0.142040i | 0.103198 | − | 0.142040i | ||||
\(339\) | 2.33269 | − | 1.69480i | 2.33269 | − | 1.69480i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 2.92614 | − | 0.950759i | 2.92614 | − | 0.950759i | ||||
\(343\) | 1.00000i | 1.00000i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.530249 | − | 3.34786i | −0.530249 | − | 3.34786i | ||||
\(346\) | −0.0966818 | + | 0.297556i | −0.0966818 | + | 0.297556i | ||||
\(347\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.907981 | −0.907981 | −0.453990 | − | 0.891007i | \(-0.650000\pi\) | ||||
−0.453990 | + | 0.891007i | \(0.650000\pi\) | |||||||
\(350\) | −0.951057 | + | 0.309017i | −0.951057 | + | 0.309017i | ||||
\(351\) | 1.90211 | 1.90211 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(354\) | 0.172288 | − | 0.530249i | 0.172288 | − | 0.530249i | ||||
\(355\) | −0.533698 | + | 1.04744i | −0.533698 | + | 1.04744i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 0.500000 | + | 0.363271i | 0.500000 | + | 0.363271i | 0.809017 | − | 0.587785i | \(-0.200000\pi\) |
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(360\) | 1.93845 | + | 0.987688i | 1.93845 | + | 0.987688i | ||||
\(361\) | −0.809017 | + | 0.587785i | −0.809017 | + | 0.587785i | ||||
\(362\) | 0.183900 | − | 0.253116i | 0.183900 | − | 0.253116i | ||||
\(363\) | −1.04744 | + | 1.44168i | −1.04744 | + | 1.44168i | ||||
\(364\) | −0.734572 | + | 0.533698i | −0.734572 | + | 0.533698i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 2.84786 | + | 2.06909i | 2.84786 | + | 2.06909i | ||||
\(367\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(368\) | − | 1.90211i | − | 1.90211i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.26007 | − | 1.26007i | −1.26007 | − | 1.26007i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 1.99235 | + | 0.647354i | 1.99235 | + | 0.647354i | ||||
\(379\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(380\) | −1.39680 | − | 0.221232i | −1.39680 | − | 0.221232i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.90211i | 1.90211i | ||||||||
\(383\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(384\) | 1.44168 | + | 1.04744i | 1.44168 | + | 1.04744i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.30902 | − | 0.951057i | 1.30902 | − | 0.951057i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(390\) | −1.44168 | − | 0.734572i | −1.44168 | − | 0.734572i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −0.951057 | + | 0.309017i | −0.951057 | + | 0.309017i | ||||
\(393\) | − | 3.52015i | − | 3.52015i | ||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.863541 | − | 1.69480i | 0.863541 | − | 1.69480i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.863541 | − | 0.280582i | −0.863541 | − | 0.280582i | −0.156434 | − | 0.987688i | \(-0.550000\pi\) |
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −2.52015 | −2.52015 | ||||||||
\(400\) | −0.587785 | − | 0.809017i | −0.587785 | − | 0.809017i | ||||
\(401\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0.280582 | − | 0.863541i | 0.280582 | − | 0.863541i | ||||
\(405\) | 0.243652 | + | 1.53836i | 0.243652 | + | 1.53836i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.183900 | + | 0.253116i | −0.183900 | + | 0.253116i | ||||
\(414\) | 3.34786 | − | 2.43236i | 3.34786 | − | 2.43236i | ||||
\(415\) | 1.95106 | − | 0.309017i | 1.95106 | − | 0.309017i | ||||
\(416\) | −0.734572 | − | 0.533698i | −0.734572 | − | 0.533698i | ||||
\(417\) | −2.39680 | + | 0.778768i | −2.39680 | + | 0.778768i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.550672 | + | 1.69480i | 0.550672 | + | 1.69480i | 0.707107 | + | 0.707107i | \(0.250000\pi\) |
−0.156434 | + | 0.987688i | \(0.550000\pi\) | |||||||
\(420\) | −1.26007 | − | 1.26007i | −1.26007 | − | 1.26007i | ||||
\(421\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −2.09488 | −2.09488 | ||||||||
\(427\) | −1.16110 | − | 1.59811i | −1.16110 | − | 1.59811i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.500000 | − | 1.53884i | −0.500000 | − | 1.53884i | −0.809017 | − | 0.587785i | \(-0.800000\pi\) |
0.309017 | − | 0.951057i | \(-0.400000\pi\) | |||||||
\(432\) | 2.09488i | 2.09488i | ||||||||
\(433\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.58114 | + | 2.17625i | −1.58114 | + | 2.17625i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.76007 | − | 1.27877i | −1.76007 | − | 1.27877i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.587785 | − | 0.809017i | −0.587785 | − | 0.809017i | ||||
\(449\) | 0.618034 | 0.618034 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(450\) | 0.672288 | − | 2.06909i | 0.672288 | − | 2.06909i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −0.951057 | − | 1.30902i | −0.951057 | − | 1.30902i | ||||
\(453\) | 1.04744 | + | 0.340334i | 1.04744 | + | 0.340334i | ||||
\(454\) | 0.550672 | − | 1.69480i | 0.550672 | − | 1.69480i | ||||
\(455\) | 0.642040 | + | 0.642040i | 0.642040 | + | 0.642040i | ||||
\(456\) | −0.778768 | − | 2.39680i | −0.778768 | − | 2.39680i | ||||
\(457\) | 1.61803i | 1.61803i | 0.587785 | + | 0.809017i | \(0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(458\) | −0.297556 | + | 0.0966818i | −0.297556 | + | 0.0966818i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.87869 | + | 0.297556i | −1.87869 | + | 0.297556i | ||||
\(461\) | 1.14412 | − | 0.831254i | 1.14412 | − | 0.831254i | 0.156434 | − | 0.987688i | \(-0.450000\pi\) |
0.987688 | + | 0.156434i | \(0.0500000\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.951057 | − | 1.30902i | 0.951057 | − | 1.30902i | − | 1.00000i | \(-0.5\pi\) | |
0.951057 | − | 0.309017i | \(-0.100000\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.951057 | + | 0.690983i | 0.951057 | + | 0.690983i | ||||
\(467\) | −1.34500 | + | 0.437016i | −1.34500 | + | 0.437016i | −0.891007 | − | 0.453990i | \(-0.850000\pi\) |
−0.453990 | + | 0.891007i | \(0.650000\pi\) | |||||||
\(468\) | − | 1.97538i | − | 1.97538i | ||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.08779 | + | 3.34786i | −1.08779 | + | 3.34786i | ||||
\(472\) | −0.297556 | − | 0.0966818i | −0.297556 | − | 0.0966818i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 3.38959 | 3.38959 | ||||||||
\(475\) | 1.41421i | 1.41421i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.587785 | + | 0.190983i | 0.587785 | + | 0.190983i | ||||
\(479\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(480\) | 0.809017 | − | 1.58779i | 0.809017 | − | 1.58779i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −3.22369 | + | 1.04744i | −3.22369 | + | 1.04744i | ||||
\(484\) | 0.809017 | + | 0.587785i | 0.809017 | + | 0.587785i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −0.550672 | + | 0.400087i | −0.550672 | + | 0.400087i | ||||
\(487\) | 0.690983 | − | 0.951057i | 0.690983 | − | 0.951057i | −0.309017 | − | 0.951057i | \(-0.600000\pi\) |
1.00000 | \(0\) | |||||||||
\(488\) | 1.16110 | − | 1.59811i | 1.16110 | − | 1.59811i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.453990 | + | 0.891007i | 0.453990 | + | 0.891007i | ||||
\(491\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0.396802 | + | 1.22123i | 0.396802 | + | 1.22123i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.11803 | + | 0.363271i | 1.11803 | + | 0.363271i | ||||
\(498\) | 2.06909 | + | 2.84786i | 2.06909 | + | 2.84786i | ||||
\(499\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(500\) | −0.707107 | + | 0.707107i | −0.707107 | + | 0.707107i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.16110 | + | 1.59811i | 1.16110 | + | 1.59811i | ||||
\(503\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(504\) | 0.672288 | − | 2.06909i | 0.672288 | − | 2.06909i | ||||
\(505\) | −0.896802 | − | 0.142040i | −0.896802 | − | 0.142040i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 0.312869i | − | 0.312869i | ||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.14412 | + | 0.831254i | 1.14412 | + | 0.831254i | 0.987688 | − | 0.156434i | \(-0.0500000\pi\) |
0.156434 | + | 0.987688i | \(0.450000\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0.587785 | − | 0.809017i | 0.587785 | − | 0.809017i | ||||
\(513\) | 1.74138 | − | 2.39680i | 1.74138 | − | 2.39680i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.172288 | + | 0.530249i | 0.172288 | + | 0.530249i | ||||
\(520\) | −0.412215 | + | 0.809017i | −0.412215 | + | 0.809017i | ||||
\(521\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.533698 | − | 0.734572i | −0.533698 | − | 0.734572i | 0.453990 | − | 0.891007i | \(-0.350000\pi\) |
−0.987688 | + | 0.156434i | \(0.950000\pi\) | |||||||
\(524\) | −1.97538 | −1.97538 | ||||||||
\(525\) | −1.04744 | + | 1.44168i | −1.04744 | + | 1.44168i | ||||
\(526\) | −0.618034 | −0.618034 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.809017 | + | 2.48990i | −0.809017 | + | 2.48990i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.210338 | − | 0.647354i | −0.210338 | − | 0.647354i | ||||
\(532\) | 1.41421i | 1.41421i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.183900 | + | 0.253116i | −0.183900 | + | 0.253116i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.06909 | − | 0.327712i | 2.06909 | − | 0.327712i | ||||
\(541\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | − | 0.557537i | − | 0.557537i | ||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.500000 | + | 1.53884i | −0.500000 | + | 1.53884i | ||||
\(547\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.29757 | 4.29757 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.99235 | − | 2.74224i | −1.99235 | − | 2.74224i | ||||
\(553\) | −1.80902 | − | 0.587785i | −1.80902 | − | 0.587785i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.437016 | + | 1.34500i | 0.437016 | + | 1.34500i | ||||
\(557\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −0.707107 | + | 0.707107i | −0.707107 | + | 0.707107i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.951057 | − | 1.30902i | 0.951057 | − | 1.30902i | ||||
\(563\) | 0.533698 | − | 0.734572i | 0.533698 | − | 0.734572i | −0.453990 | − | 0.891007i | \(-0.650000\pi\) |
0.987688 | + | 0.156434i | \(0.0500000\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.14412 | + | 1.14412i | −1.14412 | + | 1.14412i | ||||
\(566\) | 1.44168 | + | 1.04744i | 1.44168 | + | 1.04744i | ||||
\(567\) | 1.48131 | − | 0.481305i | 1.48131 | − | 0.481305i | ||||
\(568\) | 1.17557i | 1.17557i | ||||||||
\(569\) | −0.587785 | − | 1.80902i | −0.587785 | − | 1.80902i | −0.587785 | − | 0.809017i | \(-0.700000\pi\) |
− | 1.00000i | \(-0.5\pi\) | ||||||||
\(570\) | −2.24547 | + | 1.14412i | −2.24547 | + | 1.14412i | ||||
\(571\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.99235 | + | 2.74224i | 1.99235 | + | 2.74224i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.587785 | + | 1.80902i | 0.587785 | + | 1.80902i | ||||
\(576\) | 2.17557 | 2.17557 | ||||||||
\(577\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(578\) | −0.951057 | − | 0.309017i | −0.951057 | − | 0.309017i | ||||
\(579\) | 0.891007 | − | 2.74224i | 0.891007 | − | 2.74224i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.610425 | − | 1.87869i | −0.610425 | − | 1.87869i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.95106 | + | 0.309017i | −1.95106 | + | 0.309017i | ||||
\(586\) | −1.14412 | + | 0.831254i | −1.14412 | + | 0.831254i | ||||
\(587\) | −0.183900 | + | 0.253116i | −0.183900 | + | 0.253116i | −0.891007 | − | 0.453990i | \(-0.850000\pi\) |
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(588\) | −1.04744 | + | 1.44168i | −1.04744 | + | 1.44168i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −0.0489435 | + | 0.309017i | −0.0489435 | + | 0.309017i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.01515 | + | 1.39724i | 1.01515 | + | 1.39724i | ||||
\(599\) | 1.90211 | 1.90211 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(600\) | −1.69480 | − | 0.550672i | −1.69480 | − | 0.550672i | ||||
\(601\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.190983 | − | 0.587785i | 0.190983 | − | 0.587785i | ||||
\(605\) | 0.453990 | − | 0.891007i | 0.453990 | − | 0.891007i | ||||
\(606\) | −0.500000 | − | 1.53884i | −0.500000 | − | 1.53884i | ||||
\(607\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(608\) | −1.34500 | + | 0.437016i | −1.34500 | + | 0.437016i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.76007 | − | 0.896802i | −1.76007 | − | 0.896802i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(614\) | −1.14412 | + | 0.831254i | −1.14412 | + | 0.831254i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 0.587785 | − | 0.190983i | 0.587785 | − | 0.190983i | − | 1.00000i | \(-0.5\pi\) | |
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.0966818 | + | 0.297556i | 0.0966818 | + | 0.297556i | 0.987688 | − | 0.156434i | \(-0.0500000\pi\) |
−0.891007 | + | 0.453990i | \(0.850000\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.23134 | − | 3.78968i | 1.23134 | − | 3.78968i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.61803 | −1.61803 | ||||||||
\(625\) | 0.809017 | + | 0.587785i | 0.809017 | + | 0.587785i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.87869 | + | 0.610425i | 1.87869 | + | 0.610425i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −2.14879 | − | 0.340334i | −2.14879 | − | 0.340334i | ||||
\(631\) | −0.363271 | − | 1.11803i | −0.363271 | − | 1.11803i | −0.951057 | − | 0.309017i | \(-0.900000\pi\) |
0.587785 | − | 0.809017i | \(-0.300000\pi\) | |||||||
\(632\) | − | 1.90211i | − | 1.90211i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.533698 | − | 0.734572i | 0.533698 | − | 0.734572i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.06909 | + | 1.50328i | −2.06909 | + | 1.50328i | ||||
\(640\) | −0.891007 | − | 0.453990i | −0.891007 | − | 0.453990i | ||||
\(641\) | −1.53884 | − | 1.11803i | −1.53884 | − | 1.11803i | −0.951057 | − | 0.309017i | \(-0.900000\pi\) |
−0.587785 | − | 0.809017i | \(-0.700000\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.97538i | 1.97538i | 0.156434 | + | 0.987688i | \(0.450000\pi\) | ||||
−0.156434 | + | 0.987688i | \(0.550000\pi\) | |||||||
\(644\) | 0.587785 | + | 1.80902i | 0.587785 | + | 1.80902i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(648\) | 0.915497 | + | 1.26007i | 0.915497 | + | 1.26007i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0.863541 | + | 0.280582i | 0.863541 | + | 0.280582i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.309017 | + | 1.95106i | 0.309017 | + | 1.95106i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.59811 | + | 1.16110i | −1.59811 | + | 1.16110i | −0.707107 | + | 0.707107i | \(0.750000\pi\) |
−0.891007 | + | 0.453990i | \(0.850000\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.59811 | − | 1.16110i | 1.59811 | − | 1.16110i | ||||
\(665\) | 1.39680 | − | 0.221232i | 1.39680 | − | 0.221232i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −1.69480 | − | 0.550672i | −1.69480 | − | 0.550672i | ||||
\(673\) | 0.690983 | + | 0.951057i | 0.690983 | + | 0.951057i | 1.00000 | \(0\) | ||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(674\) | −0.618034 | −0.618034 | ||||||||
\(675\) | −0.647354 | − | 1.99235i | −0.647354 | − | 1.99235i | ||||
\(676\) | −0.175571 | −0.175571 | ||||||||
\(677\) | 1.16110 | + | 1.59811i | 1.16110 | + | 1.59811i | 0.707107 | + | 0.707107i | \(0.250000\pi\) |
0.453990 | + | 0.891007i | \(0.350000\pi\) | |||||||
\(678\) | −2.74224 | − | 0.891007i | −2.74224 | − | 0.891007i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.981305 | − | 3.02015i | −0.981305 | − | 3.02015i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(684\) | −2.48912 | − | 1.80845i | −2.48912 | − | 1.80845i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0.809017 | − | 0.587785i | 0.809017 | − | 0.587785i | ||||
\(687\) | −0.327712 | + | 0.451057i | −0.327712 | + | 0.451057i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −2.39680 | + | 2.39680i | −2.39680 | + | 2.39680i | ||||
\(691\) | −0.734572 | − | 0.533698i | −0.734572 | − | 0.533698i | 0.156434 | − | 0.987688i | \(-0.450000\pi\) |
−0.891007 | + | 0.453990i | \(0.850000\pi\) | |||||||
\(692\) | 0.297556 | − | 0.0966818i | 0.297556 | − | 0.0966818i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.26007 | − | 0.642040i | 1.26007 | − | 0.642040i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 0.533698 | + | 0.734572i | 0.533698 | + | 0.734572i | ||||
\(699\) | 2.09488 | 2.09488 | ||||||||
\(700\) | 0.809017 | + | 0.587785i | 0.809017 | + | 0.587785i | ||||
\(701\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(702\) | −1.11803 | − | 1.53884i | −1.11803 | − | 1.53884i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.907981i | 0.907981i | ||||||||
\(708\) | −0.530249 | + | 0.172288i | −0.530249 | + | 0.172288i | ||||
\(709\) | 0 | 0 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(710\) | 1.16110 | − | 0.183900i | 1.16110 | − | 0.183900i | ||||
\(711\) | 3.34786 | − | 2.43236i | 3.34786 | − | 2.43236i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.04744 | − | 0.340334i | 1.04744 | − | 0.340334i | ||||
\(718\) | − | 0.618034i | − | 0.618034i | ||||||
\(719\) | 0 | 0 | −0.309017 | − | 0.951057i | \(-0.600000\pi\) | ||||
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(720\) | −0.340334 | − | 2.14879i | −0.340334 | − | 2.14879i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0.951057 | + | 0.309017i | 0.951057 | + | 0.309017i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.312869 | −0.312869 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 1.78201 | 1.78201 | ||||||||
\(727\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(728\) | 0.863541 | + | 0.280582i | 0.863541 | + | 0.280582i | ||||
\(729\) | 0.106480 | − | 0.327712i | 0.106480 | − | 0.327712i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | − | 3.52015i | − | 3.52015i | ||||||
\(733\) | −0.297556 | + | 0.0966818i | −0.297556 | + | 0.0966818i | −0.453990 | − | 0.891007i | \(-0.650000\pi\) |
0.156434 | + | 0.987688i | \(0.450000\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.58779 | + | 0.809017i | 1.58779 | + | 0.809017i | ||||
\(736\) | −1.53884 | + | 1.11803i | −1.53884 | + | 1.11803i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.85123 | + | 1.34500i | 1.85123 | + | 1.34500i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 1.17557i | − | 1.17557i | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||
0.809017 | − | 0.587785i | \(-0.200000\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.08723 | + | 1.32802i | 4.08723 | + | 1.32802i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −0.278768 | + | 1.76007i | −0.278768 | + | 1.76007i | ||||
\(751\) | −2.00000 | −2.00000 | −1.00000 | \(\pi\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.34786 | + | 1.08779i | 3.34786 | + | 1.08779i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.610425 | − | 0.0966818i | −0.610425 | − | 0.0966818i | ||||
\(756\) | −0.647354 | − | 1.99235i | −0.647354 | − | 1.99235i | ||||
\(757\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.642040 | + | 1.26007i | 0.642040 | + | 1.26007i | ||||
\(761\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 1.53884 | − | 1.11803i | 1.53884 | − | 1.11803i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.270175 | − | 0.0877853i | 0.270175 | − | 0.0877853i | ||||
\(768\) | − | 1.78201i | − | 1.78201i | ||||||
\(769\) | 0 | 0 | −0.309017 | − | 0.951057i | \(-0.600000\pi\) | ||||
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.53884 | − | 0.500000i | −1.53884 | − | 0.500000i | ||||
\(773\) | −1.04744 | − | 1.44168i | −1.04744 | − | 1.44168i | −0.891007 | − | 0.453990i | \(-0.850000\pi\) |
−0.156434 | − | 0.987688i | \(-0.550000\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0.253116 | + | 1.59811i | 0.253116 | + | 1.59811i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.809017 | + | 0.587785i | 0.809017 | + | 0.587785i | ||||
\(785\) | 0.309017 | − | 1.95106i | 0.309017 | − | 1.95106i | ||||
\(786\) | −2.84786 | + | 2.06909i | −2.84786 | + | 2.06909i | ||||
\(787\) | 0.831254 | − | 1.14412i | 0.831254 | − | 1.14412i | −0.156434 | − | 0.987688i | \(-0.550000\pi\) |
0.987688 | − | 0.156434i | \(-0.0500000\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.891007 | + | 0.647354i | −0.891007 | + | 0.647354i | ||||
\(790\) | −1.87869 | + | 0.297556i | −1.87869 | + | 0.297556i | ||||
\(791\) | 1.30902 | + | 0.951057i | 1.30902 | + | 0.951057i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.79360i | 1.79360i | ||||||||
\(794\) | 0.280582 | + | 0.863541i | 0.280582 | + | 0.863541i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.297556 | + | 0.0966818i | 0.297556 | + | 0.0966818i | 0.453990 | − | 0.891007i | \(-0.350000\pi\) |
−0.156434 | + | 0.987688i | \(0.550000\pi\) | |||||||
\(798\) | 1.48131 | + | 2.03884i | 1.48131 | + | 2.03884i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −0.309017 | + | 0.951057i | −0.309017 | + | 0.951057i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.69480 | − | 0.863541i | 1.69480 | − | 0.863541i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0.557537i | 0.557537i | ||||||||
\(808\) | −0.863541 | + | 0.280582i | −0.863541 | + | 0.280582i | ||||
\(809\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(810\) | 1.10134 | − | 1.10134i | 1.10134 | − | 1.10134i | ||||
\(811\) | 1.44168 | − | 1.04744i | 1.44168 | − | 1.04744i | 0.453990 | − | 0.891007i | \(-0.350000\pi\) |
0.987688 | − | 0.156434i | \(-0.0500000\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.610425 | + | 1.87869i | 0.610425 | + | 1.87869i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.951057 | − | 1.30902i | −0.951057 | − | 1.30902i | −0.951057 | − | 0.309017i | \(-0.900000\pi\) |
− | 1.00000i | \(-0.5\pi\) | ||||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.312869 | 0.312869 | ||||||||
\(827\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(828\) | −3.93564 | − | 1.27877i | −3.93564 | − | 1.27877i | ||||
\(829\) | −0.437016 | + | 1.34500i | −0.437016 | + | 1.34500i | 0.453990 | + | 0.891007i | \(0.350000\pi\) |
−0.891007 | + | 0.453990i | \(0.850000\pi\) | |||||||
\(830\) | −1.39680 | − | 1.39680i | −1.39680 | − | 1.39680i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.907981i | 0.907981i | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 2.03884 | + | 1.48131i | 2.03884 | + | 1.48131i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1.04744 | − | 1.44168i | 1.04744 | − | 1.44168i | ||||
\(839\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(840\) | −0.278768 | + | 1.76007i | −0.278768 | + | 1.76007i | ||||
\(841\) | −0.809017 | − | 0.587785i | −0.809017 | − | 0.587785i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | − | 2.88336i | − | 2.88336i | ||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0.0274653 | + | 0.173409i | 0.0274653 | + | 0.173409i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.951057 | − | 0.309017i | −0.951057 | − | 0.309017i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 3.17557 | 3.17557 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 1.23134 | + | 1.69480i | 1.23134 | + | 1.69480i | ||||
\(853\) | 0.297556 | + | 0.0966818i | 0.297556 | + | 0.0966818i | 0.453990 | − | 0.891007i | \(-0.350000\pi\) |
−0.156434 | + | 0.987688i | \(0.550000\pi\) | |||||||
\(854\) | −0.610425 | + | 1.87869i | −0.610425 | + | 1.87869i | ||||
\(855\) | −1.39680 | + | 2.74138i | −1.39680 | + | 2.74138i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.253116 | + | 0.183900i | 0.253116 | + | 0.183900i | 0.707107 | − | 0.707107i | \(-0.250000\pi\) |
−0.453990 | + | 0.891007i | \(0.650000\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.951057 | + | 1.30902i | −0.951057 | + | 1.30902i | ||||
\(863\) | −0.951057 | + | 1.30902i | −0.951057 | + | 1.30902i | 1.00000i | \(0.5\pi\) | ||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(864\) | 1.69480 | − | 1.23134i | 1.69480 | − | 1.23134i | ||||
\(865\) | −0.142040 | − | 0.278768i | −0.142040 | − | 0.278768i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.69480 | + | 0.550672i | −1.69480 | + | 0.550672i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.68999 | 2.68999 | ||||||||
\(875\) | 0.453990 | − | 0.891007i | 0.453990 | − | 0.891007i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.778768 | + | 2.39680i | −0.778768 | + | 2.39680i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 0 | 0 | −0.309017 | − | 0.951057i | \(-0.600000\pi\) | ||||
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(882\) | 2.17557i | 2.17557i | ||||||||
\(883\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.253116 | + | 0.496769i | 0.253116 | + | 0.496769i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.309017 | + | 0.951057i | −0.309017 | + | 0.951057i | ||||
\(897\) | 2.92705 | + | 0.951057i | 2.92705 | + | 0.951057i | ||||
\(898\) | −0.363271 | − | 0.500000i | −0.363271 | − | 0.500000i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −2.06909 | + | 0.672288i | −2.06909 | + | 0.672288i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.500000 | + | 1.53884i | −0.500000 | + | 1.53884i | ||||
\(905\) | 0.0489435 | + | 0.309017i | 0.0489435 | + | 0.309017i | ||||
\(906\) | −0.340334 | − | 1.04744i | −0.340334 | − | 1.04744i | ||||
\(907\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(908\) | −1.69480 | + | 0.550672i | −1.69480 | + | 0.550672i | ||||
\(909\) | −1.59811 | − | 1.16110i | −1.59811 | − | 1.16110i | ||||
\(910\) | 0.142040 | − | 0.896802i | 0.142040 | − | 0.896802i | ||||
\(911\) | −1.30902 | + | 0.951057i | −1.30902 | + | 0.951057i | −0.309017 | + | 0.951057i | \(0.600000\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(912\) | −1.48131 | + | 2.03884i | −1.48131 | + | 2.03884i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 1.30902 | − | 0.951057i | 1.30902 | − | 0.951057i | ||||
\(915\) | −3.47681 | + | 0.550672i | −3.47681 | + | 0.550672i | ||||
\(916\) | 0.253116 | + | 0.183900i | 0.253116 | + | 0.183900i | ||||
\(917\) | 1.87869 | − | 0.610425i | 1.87869 | − | 0.610425i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(920\) | 1.34500 | + | 1.34500i | 1.34500 | + | 1.34500i | ||||
\(921\) | −0.778768 | + | 2.39680i | −0.778768 | + | 2.39680i | ||||
\(922\) | −1.34500 | − | 0.437016i | −1.34500 | − | 0.437016i | ||||
\(923\) | −0.627399 | − | 0.863541i | −0.627399 | − | 0.863541i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −1.61803 | −1.61803 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.437016 | − | 1.34500i | −0.437016 | − | 1.34500i | ||||
\(932\) | − | 1.17557i | − | 1.17557i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.14412 | + | 0.831254i | 1.14412 | + | 0.831254i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −1.59811 | + | 1.16110i | −1.59811 | + | 1.16110i | ||||
\(937\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −1.59811 | − | 1.16110i | −1.59811 | − | 1.16110i | −0.891007 | − | 0.453990i | \(-0.850000\pi\) |
−0.707107 | − | 0.707107i | \(-0.750000\pi\) | |||||||
\(942\) | 3.34786 | − | 1.08779i | 3.34786 | − | 1.08779i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 0.0966818 | + | 0.297556i | 0.0966818 | + | 0.297556i | ||||
\(945\) | −1.86655 | + | 0.951057i | −1.86655 | + | 0.951057i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(948\) | −1.99235 | − | 2.74224i | −1.99235 | − | 2.74224i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 1.14412 | − | 0.831254i | 1.14412 | − | 0.831254i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1.80902 | + | 0.587785i | 1.80902 | + | 0.587785i | 1.00000 | \(0\) | ||
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.34500 | − | 1.34500i | −1.34500 | − | 1.34500i | ||||
\(956\) | −0.190983 | − | 0.587785i | −0.190983 | − | 0.587785i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −1.76007 | + | 0.278768i | −1.76007 | + | 0.278768i | ||||
\(961\) | −0.809017 | + | 0.587785i | −0.809017 | + | 0.587785i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.253116 | + | 1.59811i | −0.253116 | + | 1.59811i | ||||
\(966\) | 2.74224 | + | 1.99235i | 2.74224 | + | 1.99235i | ||||
\(967\) | 1.11803 | − | 0.363271i | 1.11803 | − | 0.363271i | 0.309017 | − | 0.951057i | \(-0.400000\pi\) |
0.809017 | + | 0.587785i | \(0.200000\pi\) | |||||||
\(968\) | − | 1.00000i | − | 1.00000i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −0.280582 | + | 0.863541i | −0.280582 | + | 0.863541i | 0.707107 | + | 0.707107i | \(0.250000\pi\) |
−0.987688 | + | 0.156434i | \(0.950000\pi\) | |||||||
\(972\) | 0.647354 | + | 0.210338i | 0.647354 | + | 0.210338i | ||||
\(973\) | −0.831254 | − | 1.14412i | −0.831254 | − | 1.14412i | ||||
\(974\) | −1.17557 | −1.17557 | ||||||||
\(975\) | 1.53884 | − | 0.500000i | 1.53884 | − | 0.500000i | ||||
\(976\) | −1.97538 | −1.97538 | ||||||||
\(977\) | −0.690983 | − | 0.951057i | −0.690983 | − | 0.951057i | 0.309017 | − | 0.951057i | \(-0.400000\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0.453990 | − | 0.891007i | 0.453990 | − | 0.891007i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.754763 | − | 1.03884i | 0.754763 | − | 1.03884i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.951057 | − | 0.690983i | −0.951057 | − | 0.690983i | − | 1.00000i | \(-0.5\pi\) | |
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.363271 | − | 1.11803i | −0.363271 | − | 1.11803i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 1.08779 | − | 3.34786i | 1.08779 | − | 3.34786i | ||||
\(997\) | −1.69480 | − | 0.550672i | −1.69480 | − | 0.550672i | −0.707107 | − | 0.707107i | \(-0.750000\pi\) |
−0.987688 | + | 0.156434i | \(0.950000\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 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 | 1400.1.cc.a.1189.1 | yes | 16 | |
7.6 | odd | 2 | inner | 1400.1.cc.a.1189.2 | yes | 16 | |
8.5 | even | 2 | inner | 1400.1.cc.a.1189.2 | yes | 16 | |
25.9 | even | 10 | inner | 1400.1.cc.a.909.1 | ✓ | 16 | |
56.13 | odd | 2 | CM | 1400.1.cc.a.1189.1 | yes | 16 | |
175.34 | odd | 10 | inner | 1400.1.cc.a.909.2 | yes | 16 | |
200.109 | even | 10 | inner | 1400.1.cc.a.909.2 | yes | 16 | |
1400.909 | odd | 10 | inner | 1400.1.cc.a.909.1 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1400.1.cc.a.909.1 | ✓ | 16 | 25.9 | even | 10 | inner | |
1400.1.cc.a.909.1 | ✓ | 16 | 1400.909 | odd | 10 | inner | |
1400.1.cc.a.909.2 | yes | 16 | 175.34 | odd | 10 | inner | |
1400.1.cc.a.909.2 | yes | 16 | 200.109 | even | 10 | inner | |
1400.1.cc.a.1189.1 | yes | 16 | 1.1 | even | 1 | trivial | |
1400.1.cc.a.1189.1 | yes | 16 | 56.13 | odd | 2 | CM | |
1400.1.cc.a.1189.2 | yes | 16 | 7.6 | odd | 2 | inner | |
1400.1.cc.a.1189.2 | yes | 16 | 8.5 | even | 2 | inner |