Properties

Label 600.1.bj.a.581.1
Level $600$
Weight $1$
Character 600.581
Analytic conductor $0.299$
Analytic rank $0$
Dimension $4$
Projective image $D_{5}$
CM discriminant -24
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [600,1,Mod(221,600)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(600, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([0, 5, 5, 6]))
 
N = Newforms(chi, 1, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("600.221");
 
S:= CuspForms(chi, 1);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 600.bj (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: \(0.299439007580\)
Analytic rank: \(0\)
Dimension: \(4\)
Coefficient field: \(\Q(\zeta_{10})\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Projective image: \(D_{5}\)
Projective field: Galois closure of 5.1.225000000.2

Embedding invariants

Embedding label 581.1
Root \(-0.309017 - 0.951057i\) of defining polynomial
Character \(\chi\) \(=\) 600.581
Dual form 600.1.bj.a.221.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.309017 + 0.951057i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.309017 + 0.951057i) q^{5} +(-0.809017 - 0.587785i) q^{6} -1.61803 q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})\) \(q+(0.309017 + 0.951057i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.309017 + 0.951057i) q^{5} +(-0.809017 - 0.587785i) q^{6} -1.61803 q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.309017 - 0.951057i) q^{9} +(-0.809017 + 0.587785i) q^{10} +(0.190983 + 0.587785i) q^{11} +(0.309017 - 0.951057i) q^{12} +(-0.500000 - 1.53884i) q^{14} +(-0.809017 - 0.587785i) q^{15} +(0.309017 - 0.951057i) q^{16} +1.00000 q^{18} +(-0.809017 - 0.587785i) q^{20} +(1.30902 - 0.951057i) q^{21} +(-0.500000 + 0.363271i) q^{22} +1.00000 q^{24} +(-0.809017 + 0.587785i) q^{25} +(0.309017 + 0.951057i) q^{27} +(1.30902 - 0.951057i) q^{28} +(-1.61803 + 1.17557i) q^{29} +(0.309017 - 0.951057i) q^{30} +(1.30902 + 0.951057i) q^{31} +1.00000 q^{32} +(-0.500000 - 0.363271i) q^{33} +(-0.500000 - 1.53884i) q^{35} +(0.309017 + 0.951057i) q^{36} +(0.309017 - 0.951057i) q^{40} +(1.30902 + 0.951057i) q^{42} +(-0.500000 - 0.363271i) q^{44} +1.00000 q^{45} +(0.309017 + 0.951057i) q^{48} +1.61803 q^{49} +(-0.809017 - 0.587785i) q^{50} +(-0.500000 + 0.363271i) q^{53} +(-0.809017 + 0.587785i) q^{54} +(-0.500000 + 0.363271i) q^{55} +(1.30902 + 0.951057i) q^{56} +(-1.61803 - 1.17557i) q^{58} +(0.190983 - 0.587785i) q^{59} +1.00000 q^{60} +(-0.500000 + 1.53884i) q^{62} +(-0.500000 + 1.53884i) q^{63} +(0.309017 + 0.951057i) q^{64} +(0.190983 - 0.587785i) q^{66} +(1.30902 - 0.951057i) q^{70} +(-0.809017 + 0.587785i) q^{72} +(0.618034 + 1.90211i) q^{73} +(0.309017 - 0.951057i) q^{75} +(-0.309017 - 0.951057i) q^{77} +(-0.500000 + 0.363271i) q^{79} +1.00000 q^{80} +(-0.809017 - 0.587785i) q^{81} +(1.30902 + 0.951057i) q^{83} +(-0.500000 + 1.53884i) q^{84} +(0.618034 - 1.90211i) q^{87} +(0.190983 - 0.587785i) q^{88} +(0.309017 + 0.951057i) q^{90} -1.61803 q^{93} +(-0.809017 + 0.587785i) q^{96} +(1.30902 - 0.951057i) q^{97} +(0.500000 + 1.53884i) q^{98} +0.618034 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q - q^{2} - q^{3} - q^{4} - q^{5} - q^{6} - 2 q^{7} - q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4 q - q^{2} - q^{3} - q^{4} - q^{5} - q^{6} - 2 q^{7} - q^{8} - q^{9} - q^{10} + 3 q^{11} - q^{12} - 2 q^{14} - q^{15} - q^{16} + 4 q^{18} - q^{20} + 3 q^{21} - 2 q^{22} + 4 q^{24} - q^{25} - q^{27} + 3 q^{28} - 2 q^{29} - q^{30} + 3 q^{31} + 4 q^{32} - 2 q^{33} - 2 q^{35} - q^{36} - q^{40} + 3 q^{42} - 2 q^{44} + 4 q^{45} - q^{48} + 2 q^{49} - q^{50} - 2 q^{53} - q^{54} - 2 q^{55} + 3 q^{56} - 2 q^{58} + 3 q^{59} + 4 q^{60} - 2 q^{62} - 2 q^{63} - q^{64} + 3 q^{66} + 3 q^{70} - q^{72} - 2 q^{73} - q^{75} + q^{77} - 2 q^{79} + 4 q^{80} - q^{81} + 3 q^{83} - 2 q^{84} - 2 q^{87} + 3 q^{88} - q^{90} - 2 q^{93} - q^{96} + 3 q^{97} + 2 q^{98} - 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).

\(n\) \(151\) \(301\) \(401\) \(577\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(3\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(4\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(5\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(6\) −0.809017 0.587785i −0.809017 0.587785i
\(7\) −1.61803 −1.61803 −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(8\) −0.809017 0.587785i −0.809017 0.587785i
\(9\) 0.309017 0.951057i 0.309017 0.951057i
\(10\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(11\) 0.190983 + 0.587785i 0.190983 + 0.587785i 1.00000 \(0\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(12\) 0.309017 0.951057i 0.309017 0.951057i
\(13\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(14\) −0.500000 1.53884i −0.500000 1.53884i
\(15\) −0.809017 0.587785i −0.809017 0.587785i
\(16\) 0.309017 0.951057i 0.309017 0.951057i
\(17\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(18\) 1.00000 1.00000
\(19\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(20\) −0.809017 0.587785i −0.809017 0.587785i
\(21\) 1.30902 0.951057i 1.30902 0.951057i
\(22\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(23\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(24\) 1.00000 1.00000
\(25\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(26\) 0 0
\(27\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(28\) 1.30902 0.951057i 1.30902 0.951057i
\(29\) −1.61803 + 1.17557i −1.61803 + 1.17557i −0.809017 + 0.587785i \(0.800000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(30\) 0.309017 0.951057i 0.309017 0.951057i
\(31\) 1.30902 + 0.951057i 1.30902 + 0.951057i 1.00000 \(0\)
0.309017 + 0.951057i \(0.400000\pi\)
\(32\) 1.00000 1.00000
\(33\) −0.500000 0.363271i −0.500000 0.363271i
\(34\) 0 0
\(35\) −0.500000 1.53884i −0.500000 1.53884i
\(36\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(37\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(38\) 0 0
\(39\) 0 0
\(40\) 0.309017 0.951057i 0.309017 0.951057i
\(41\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(42\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(43\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(44\) −0.500000 0.363271i −0.500000 0.363271i
\(45\) 1.00000 1.00000
\(46\) 0 0
\(47\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(48\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(49\) 1.61803 1.61803
\(50\) −0.809017 0.587785i −0.809017 0.587785i
\(51\) 0 0
\(52\) 0 0
\(53\) −0.500000 + 0.363271i −0.500000 + 0.363271i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(54\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(55\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(56\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(57\) 0 0
\(58\) −1.61803 1.17557i −1.61803 1.17557i
\(59\) 0.190983 0.587785i 0.190983 0.587785i −0.809017 0.587785i \(-0.800000\pi\)
1.00000 \(0\)
\(60\) 1.00000 1.00000
\(61\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(62\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(63\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(64\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(65\) 0 0
\(66\) 0.190983 0.587785i 0.190983 0.587785i
\(67\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(68\) 0 0
\(69\) 0 0
\(70\) 1.30902 0.951057i 1.30902 0.951057i
\(71\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(72\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(73\) 0.618034 + 1.90211i 0.618034 + 1.90211i 0.309017 + 0.951057i \(0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(74\) 0 0
\(75\) 0.309017 0.951057i 0.309017 0.951057i
\(76\) 0 0
\(77\) −0.309017 0.951057i −0.309017 0.951057i
\(78\) 0 0
\(79\) −0.500000 + 0.363271i −0.500000 + 0.363271i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(80\) 1.00000 1.00000
\(81\) −0.809017 0.587785i −0.809017 0.587785i
\(82\) 0 0
\(83\) 1.30902 + 0.951057i 1.30902 + 0.951057i 1.00000 \(0\)
0.309017 + 0.951057i \(0.400000\pi\)
\(84\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(85\) 0 0
\(86\) 0 0
\(87\) 0.618034 1.90211i 0.618034 1.90211i
\(88\) 0.190983 0.587785i 0.190983 0.587785i
\(89\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(90\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(91\) 0 0
\(92\) 0 0
\(93\) −1.61803 −1.61803
\(94\) 0 0
\(95\) 0 0
\(96\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(97\) 1.30902 0.951057i 1.30902 0.951057i 0.309017 0.951057i \(-0.400000\pi\)
1.00000 \(0\)
\(98\) 0.500000 + 1.53884i 0.500000 + 1.53884i
\(99\) 0.618034 0.618034
\(100\) 0.309017 0.951057i 0.309017 0.951057i
\(101\) 0.618034 0.618034 0.309017 0.951057i \(-0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(102\) 0 0
\(103\) 1.30902 0.951057i 1.30902 0.951057i 0.309017 0.951057i \(-0.400000\pi\)
1.00000 \(0\)
\(104\) 0 0
\(105\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(106\) −0.500000 0.363271i −0.500000 0.363271i
\(107\) 0.618034 0.618034 0.309017 0.951057i \(-0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(108\) −0.809017 0.587785i −0.809017 0.587785i
\(109\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(110\) −0.500000 0.363271i −0.500000 0.363271i
\(111\) 0 0
\(112\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(113\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(114\) 0 0
\(115\) 0 0
\(116\) 0.618034 1.90211i 0.618034 1.90211i
\(117\) 0 0
\(118\) 0.618034 0.618034
\(119\) 0 0
\(120\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(121\) 0.500000 0.363271i 0.500000 0.363271i
\(122\) 0 0
\(123\) 0 0
\(124\) −1.61803 −1.61803
\(125\) −0.809017 0.587785i −0.809017 0.587785i
\(126\) −1.61803 −1.61803
\(127\) 0.190983 + 0.587785i 0.190983 + 0.587785i 1.00000 \(0\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(128\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(129\) 0 0
\(130\) 0 0
\(131\) −1.61803 1.17557i −1.61803 1.17557i −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 0.587785i \(-0.800000\pi\)
\(132\) 0.618034 0.618034
\(133\) 0 0
\(134\) 0 0
\(135\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(136\) 0 0
\(137\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(138\) 0 0
\(139\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(140\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(141\) 0 0
\(142\) 0 0
\(143\) 0 0
\(144\) −0.809017 0.587785i −0.809017 0.587785i
\(145\) −1.61803 1.17557i −1.61803 1.17557i
\(146\) −1.61803 + 1.17557i −1.61803 + 1.17557i
\(147\) −1.30902 + 0.951057i −1.30902 + 0.951057i
\(148\) 0 0
\(149\) 0.618034 0.618034 0.309017 0.951057i \(-0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(150\) 1.00000 1.00000
\(151\) −1.61803 −1.61803 −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(152\) 0 0
\(153\) 0 0
\(154\) 0.809017 0.587785i 0.809017 0.587785i
\(155\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(156\) 0 0
\(157\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(158\) −0.500000 0.363271i −0.500000 0.363271i
\(159\) 0.190983 0.587785i 0.190983 0.587785i
\(160\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(161\) 0 0
\(162\) 0.309017 0.951057i 0.309017 0.951057i
\(163\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(164\) 0 0
\(165\) 0.190983 0.587785i 0.190983 0.587785i
\(166\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(167\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(168\) −1.61803 −1.61803
\(169\) −0.809017 0.587785i −0.809017 0.587785i
\(170\) 0 0
\(171\) 0 0
\(172\) 0 0
\(173\) −0.500000 1.53884i −0.500000 1.53884i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 0.951057i \(-0.400000\pi\)
\(174\) 2.00000 2.00000
\(175\) 1.30902 0.951057i 1.30902 0.951057i
\(176\) 0.618034 0.618034
\(177\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(178\) 0 0
\(179\) 1.30902 0.951057i 1.30902 0.951057i 0.309017 0.951057i \(-0.400000\pi\)
1.00000 \(0\)
\(180\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(181\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(182\) 0 0
\(183\) 0 0
\(184\) 0 0
\(185\) 0 0
\(186\) −0.500000 1.53884i −0.500000 1.53884i
\(187\) 0 0
\(188\) 0 0
\(189\) −0.500000 1.53884i −0.500000 1.53884i
\(190\) 0 0
\(191\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(192\) −0.809017 0.587785i −0.809017 0.587785i
\(193\) −1.61803 −1.61803 −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(194\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(195\) 0 0
\(196\) −1.30902 + 0.951057i −1.30902 + 0.951057i
\(197\) 1.30902 0.951057i 1.30902 0.951057i 0.309017 0.951057i \(-0.400000\pi\)
1.00000 \(0\)
\(198\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(199\) 0.618034 0.618034 0.309017 0.951057i \(-0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(200\) 1.00000 1.00000
\(201\) 0 0
\(202\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(203\) 2.61803 1.90211i 2.61803 1.90211i
\(204\) 0 0
\(205\) 0 0
\(206\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(207\) 0 0
\(208\) 0 0
\(209\) 0 0
\(210\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(211\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(212\) 0.190983 0.587785i 0.190983 0.587785i
\(213\) 0 0
\(214\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(215\) 0 0
\(216\) 0.309017 0.951057i 0.309017 0.951057i
\(217\) −2.11803 1.53884i −2.11803 1.53884i
\(218\) 0 0
\(219\) −1.61803 1.17557i −1.61803 1.17557i
\(220\) 0.190983 0.587785i 0.190983 0.587785i
\(221\) 0 0
\(222\) 0 0
\(223\) 0.190983 + 0.587785i 0.190983 + 0.587785i 1.00000 \(0\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(224\) −1.61803 −1.61803
\(225\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(226\) 0 0
\(227\) 0.190983 + 0.587785i 0.190983 + 0.587785i 1.00000 \(0\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(228\) 0 0
\(229\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(230\) 0 0
\(231\) 0.809017 + 0.587785i 0.809017 + 0.587785i
\(232\) 2.00000 2.00000
\(233\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(234\) 0 0
\(235\) 0 0
\(236\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(237\) 0.190983 0.587785i 0.190983 0.587785i
\(238\) 0 0
\(239\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(240\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(241\) −0.500000 + 1.53884i −0.500000 + 1.53884i 0.309017 + 0.951057i \(0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(242\) 0.500000 + 0.363271i 0.500000 + 0.363271i
\(243\) 1.00000 1.00000
\(244\) 0 0
\(245\) 0.500000 + 1.53884i 0.500000 + 1.53884i
\(246\) 0 0
\(247\) 0 0
\(248\) −0.500000 1.53884i −0.500000 1.53884i
\(249\) −1.61803 −1.61803
\(250\) 0.309017 0.951057i 0.309017 0.951057i
\(251\) −1.61803 −1.61803 −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(252\) −0.500000 1.53884i −0.500000 1.53884i
\(253\) 0 0
\(254\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(255\) 0 0
\(256\) −0.809017 0.587785i −0.809017 0.587785i
\(257\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(258\) 0 0
\(259\) 0 0
\(260\) 0 0
\(261\) 0.618034 + 1.90211i 0.618034 + 1.90211i
\(262\) 0.618034 1.90211i 0.618034 1.90211i
\(263\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(264\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(265\) −0.500000 0.363271i −0.500000 0.363271i
\(266\) 0 0
\(267\) 0 0
\(268\) 0 0
\(269\) 1.30902 + 0.951057i 1.30902 + 0.951057i 1.00000 \(0\)
0.309017 + 0.951057i \(0.400000\pi\)
\(270\) −0.809017 0.587785i −0.809017 0.587785i
\(271\) 1.30902 0.951057i 1.30902 0.951057i 0.309017 0.951057i \(-0.400000\pi\)
1.00000 \(0\)
\(272\) 0 0
\(273\) 0 0
\(274\) 0 0
\(275\) −0.500000 0.363271i −0.500000 0.363271i
\(276\) 0 0
\(277\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(278\) 0 0
\(279\) 1.30902 0.951057i 1.30902 0.951057i
\(280\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(281\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(282\) 0 0
\(283\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(284\) 0 0
\(285\) 0 0
\(286\) 0 0
\(287\) 0 0
\(288\) 0.309017 0.951057i 0.309017 0.951057i
\(289\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(290\) 0.618034 1.90211i 0.618034 1.90211i
\(291\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(292\) −1.61803 1.17557i −1.61803 1.17557i
\(293\) 0.618034 0.618034 0.309017 0.951057i \(-0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(294\) −1.30902 0.951057i −1.30902 0.951057i
\(295\) 0.618034 0.618034
\(296\) 0 0
\(297\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(298\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(299\) 0 0
\(300\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(301\) 0 0
\(302\) −0.500000 1.53884i −0.500000 1.53884i
\(303\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(304\) 0 0
\(305\) 0 0
\(306\) 0 0
\(307\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(308\) 0.809017 + 0.587785i 0.809017 + 0.587785i
\(309\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(310\) −1.61803 −1.61803
\(311\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(312\) 0 0
\(313\) 0.190983 0.587785i 0.190983 0.587785i −0.809017 0.587785i \(-0.800000\pi\)
1.00000 \(0\)
\(314\) 0 0
\(315\) −1.61803 −1.61803
\(316\) 0.190983 0.587785i 0.190983 0.587785i
\(317\) −0.500000 0.363271i −0.500000 0.363271i 0.309017 0.951057i \(-0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(318\) 0.618034 0.618034
\(319\) −1.00000 0.726543i −1.00000 0.726543i
\(320\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(321\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(322\) 0 0
\(323\) 0 0
\(324\) 1.00000 1.00000
\(325\) 0 0
\(326\) 0 0
\(327\) 0 0
\(328\) 0 0
\(329\) 0 0
\(330\) 0.618034 0.618034
\(331\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(332\) −1.61803 −1.61803
\(333\) 0 0
\(334\) 0 0
\(335\) 0 0
\(336\) −0.500000 1.53884i −0.500000 1.53884i
\(337\) −0.500000 + 1.53884i −0.500000 + 1.53884i 0.309017 + 0.951057i \(0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(338\) 0.309017 0.951057i 0.309017 0.951057i
\(339\) 0 0
\(340\) 0 0
\(341\) −0.309017 + 0.951057i −0.309017 + 0.951057i
\(342\) 0 0
\(343\) −1.00000 −1.00000
\(344\) 0 0
\(345\) 0 0
\(346\) 1.30902 0.951057i 1.30902 0.951057i
\(347\) −0.500000 + 0.363271i −0.500000 + 0.363271i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(348\) 0.618034 + 1.90211i 0.618034 + 1.90211i
\(349\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(350\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(351\) 0 0
\(352\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(353\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(354\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(355\) 0 0
\(356\) 0 0
\(357\) 0 0
\(358\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(359\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(360\) −0.809017 0.587785i −0.809017 0.587785i
\(361\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(362\) 0 0
\(363\) −0.190983 + 0.587785i −0.190983 + 0.587785i
\(364\) 0 0
\(365\) −1.61803 + 1.17557i −1.61803 + 1.17557i
\(366\) 0 0
\(367\) 1.30902 + 0.951057i 1.30902 + 0.951057i 1.00000 \(0\)
0.309017 + 0.951057i \(0.400000\pi\)
\(368\) 0 0
\(369\) 0 0
\(370\) 0 0
\(371\) 0.809017 0.587785i 0.809017 0.587785i
\(372\) 1.30902 0.951057i 1.30902 0.951057i
\(373\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(374\) 0 0
\(375\) 1.00000 1.00000
\(376\) 0 0
\(377\) 0 0
\(378\) 1.30902 0.951057i 1.30902 0.951057i
\(379\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(380\) 0 0
\(381\) −0.500000 0.363271i −0.500000 0.363271i
\(382\) 0 0
\(383\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(384\) 0.309017 0.951057i 0.309017 0.951057i
\(385\) 0.809017 0.587785i 0.809017 0.587785i
\(386\) −0.500000 1.53884i −0.500000 1.53884i
\(387\) 0 0
\(388\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(389\) 0.190983 + 0.587785i 0.190983 + 0.587785i 1.00000 \(0\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(390\) 0 0
\(391\) 0 0
\(392\) −1.30902 0.951057i −1.30902 0.951057i
\(393\) 2.00000 2.00000
\(394\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(395\) −0.500000 0.363271i −0.500000 0.363271i
\(396\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(397\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(398\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(399\) 0 0
\(400\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(401\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(402\) 0 0
\(403\) 0 0
\(404\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(405\) 0.309017 0.951057i 0.309017 0.951057i
\(406\) 2.61803 + 1.90211i 2.61803 + 1.90211i
\(407\) 0 0
\(408\) 0 0
\(409\) 0.190983 0.587785i 0.190983 0.587785i −0.809017 0.587785i \(-0.800000\pi\)
1.00000 \(0\)
\(410\) 0 0
\(411\) 0 0
\(412\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(413\) −0.309017 + 0.951057i −0.309017 + 0.951057i
\(414\) 0 0
\(415\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(416\) 0 0
\(417\) 0 0
\(418\) 0 0
\(419\) 1.30902 + 0.951057i 1.30902 + 0.951057i 1.00000 \(0\)
0.309017 + 0.951057i \(0.400000\pi\)
\(420\) −1.61803 −1.61803
\(421\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(422\) 0 0
\(423\) 0 0
\(424\) 0.618034 0.618034
\(425\) 0 0
\(426\) 0 0
\(427\) 0 0
\(428\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(429\) 0 0
\(430\) 0 0
\(431\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(432\) 1.00000 1.00000
\(433\) −0.500000 0.363271i −0.500000 0.363271i 0.309017 0.951057i \(-0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(434\) 0.809017 2.48990i 0.809017 2.48990i
\(435\) 2.00000 2.00000
\(436\) 0 0
\(437\) 0 0
\(438\) 0.618034 1.90211i 0.618034 1.90211i
\(439\) 0.190983 + 0.587785i 0.190983 + 0.587785i 1.00000 \(0\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(440\) 0.618034 0.618034
\(441\) 0.500000 1.53884i 0.500000 1.53884i
\(442\) 0 0
\(443\) −1.61803 −1.61803 −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(444\) 0 0
\(445\) 0 0
\(446\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(447\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(448\) −0.500000 1.53884i −0.500000 1.53884i
\(449\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(450\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(451\) 0 0
\(452\) 0 0
\(453\) 1.30902 0.951057i 1.30902 0.951057i
\(454\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(455\) 0 0
\(456\) 0 0
\(457\) 0.618034 0.618034 0.309017 0.951057i \(-0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(458\) 0 0
\(459\) 0 0
\(460\) 0 0
\(461\) −0.500000 1.53884i −0.500000 1.53884i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 0.951057i \(-0.400000\pi\)
\(462\) −0.309017 + 0.951057i −0.309017 + 0.951057i
\(463\) 0.618034 1.90211i 0.618034 1.90211i 0.309017 0.951057i \(-0.400000\pi\)
0.309017 0.951057i \(-0.400000\pi\)
\(464\) 0.618034 + 1.90211i 0.618034 + 1.90211i
\(465\) −0.500000 1.53884i −0.500000 1.53884i
\(466\) 0 0
\(467\) −0.500000 0.363271i −0.500000 0.363271i 0.309017 0.951057i \(-0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(468\) 0 0
\(469\) 0 0
\(470\) 0 0
\(471\) 0 0
\(472\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(473\) 0 0
\(474\) 0.618034 0.618034
\(475\) 0 0
\(476\) 0 0
\(477\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(478\) 0 0
\(479\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(480\) −0.809017 0.587785i −0.809017 0.587785i
\(481\) 0 0
\(482\) −1.61803 −1.61803
\(483\) 0 0
\(484\) −0.190983 + 0.587785i −0.190983 + 0.587785i
\(485\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(486\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(487\) 0.190983 0.587785i 0.190983 0.587785i −0.809017 0.587785i \(-0.800000\pi\)
1.00000 \(0\)
\(488\) 0 0
\(489\) 0 0
\(490\) −1.30902 + 0.951057i −1.30902 + 0.951057i
\(491\) −0.500000 + 1.53884i −0.500000 + 1.53884i 0.309017 + 0.951057i \(0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(492\) 0 0
\(493\) 0 0
\(494\) 0 0
\(495\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(496\) 1.30902 0.951057i 1.30902 0.951057i
\(497\) 0 0
\(498\) −0.500000 1.53884i −0.500000 1.53884i
\(499\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(500\) 1.00000 1.00000
\(501\) 0 0
\(502\) −0.500000 1.53884i −0.500000 1.53884i
\(503\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(504\) 1.30902 0.951057i 1.30902 0.951057i
\(505\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(506\) 0 0
\(507\) 1.00000 1.00000
\(508\) −0.500000 0.363271i −0.500000 0.363271i
\(509\) 0.190983 0.587785i 0.190983 0.587785i −0.809017 0.587785i \(-0.800000\pi\)
1.00000 \(0\)
\(510\) 0 0
\(511\) −1.00000 3.07768i −1.00000 3.07768i
\(512\) 0.309017 0.951057i 0.309017 0.951057i
\(513\) 0 0
\(514\) 0 0
\(515\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(516\) 0 0
\(517\) 0 0
\(518\) 0 0
\(519\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(520\) 0 0
\(521\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(522\) −1.61803 + 1.17557i −1.61803 + 1.17557i
\(523\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(524\) 2.00000 2.00000
\(525\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(526\) 0 0
\(527\) 0 0
\(528\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(529\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(530\) 0.190983 0.587785i 0.190983 0.587785i
\(531\) −0.500000 0.363271i −0.500000 0.363271i
\(532\) 0 0
\(533\) 0 0
\(534\) 0 0
\(535\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(536\) 0 0
\(537\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(538\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(539\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(540\) 0.309017 0.951057i 0.309017 0.951057i
\(541\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(542\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(543\) 0 0
\(544\) 0 0
\(545\) 0 0
\(546\) 0 0
\(547\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(548\) 0 0
\(549\) 0 0
\(550\) 0.190983 0.587785i 0.190983 0.587785i
\(551\) 0 0
\(552\) 0 0
\(553\) 0.809017 0.587785i 0.809017 0.587785i
\(554\) 0 0
\(555\) 0 0
\(556\) 0 0
\(557\) −1.61803 −1.61803 −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(558\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(559\) 0 0
\(560\) −1.61803 −1.61803
\(561\) 0 0
\(562\) 0 0
\(563\) −0.500000 + 1.53884i −0.500000 + 1.53884i 0.309017 + 0.951057i \(0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(564\) 0 0
\(565\) 0 0
\(566\) 0 0
\(567\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(568\) 0 0
\(569\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(570\) 0 0
\(571\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(572\) 0 0
\(573\) 0 0
\(574\) 0 0
\(575\) 0 0
\(576\) 1.00000 1.00000
\(577\) −0.500000 1.53884i −0.500000 1.53884i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 0.951057i \(-0.400000\pi\)
\(578\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(579\) 1.30902 0.951057i 1.30902 0.951057i
\(580\) 2.00000 2.00000
\(581\) −2.11803 1.53884i −2.11803 1.53884i
\(582\) −1.61803 −1.61803
\(583\) −0.309017 0.224514i −0.309017 0.224514i
\(584\) 0.618034 1.90211i 0.618034 1.90211i
\(585\) 0 0
\(586\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(587\) 0.190983 0.587785i 0.190983 0.587785i −0.809017 0.587785i \(-0.800000\pi\)
1.00000 \(0\)
\(588\) 0.500000 1.53884i 0.500000 1.53884i
\(589\) 0 0
\(590\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(591\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(592\) 0 0
\(593\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(594\) −0.500000 0.363271i −0.500000 0.363271i
\(595\) 0 0
\(596\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(597\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(598\) 0 0
\(599\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(600\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(601\) 0.618034 0.618034 0.309017 0.951057i \(-0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(602\) 0 0
\(603\) 0 0
\(604\) 1.30902 0.951057i 1.30902 0.951057i
\(605\) 0.500000 + 0.363271i 0.500000 + 0.363271i
\(606\) −0.500000 0.363271i −0.500000 0.363271i
\(607\) 0.618034 0.618034 0.309017 0.951057i \(-0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(608\) 0 0
\(609\) −1.00000 + 3.07768i −1.00000 + 3.07768i
\(610\) 0 0
\(611\) 0 0
\(612\) 0 0
\(613\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(614\) 0 0
\(615\) 0 0
\(616\) −0.309017 + 0.951057i −0.309017 + 0.951057i
\(617\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(618\) −1.61803 −1.61803
\(619\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(620\) −0.500000 1.53884i −0.500000 1.53884i
\(621\) 0 0
\(622\) 0 0
\(623\) 0 0
\(624\) 0 0
\(625\) 0.309017 0.951057i 0.309017 0.951057i
\(626\) 0.618034 0.618034
\(627\) 0 0
\(628\) 0 0
\(629\) 0 0
\(630\) −0.500000 1.53884i −0.500000 1.53884i
\(631\) −1.61803 1.17557i −1.61803 1.17557i −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 0.587785i \(-0.800000\pi\)
\(632\) 0.618034 0.618034
\(633\) 0 0
\(634\) 0.190983 0.587785i 0.190983 0.587785i
\(635\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(636\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(637\) 0 0
\(638\) 0.381966 1.17557i 0.381966 1.17557i
\(639\) 0 0
\(640\) −0.809017 0.587785i −0.809017 0.587785i
\(641\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(642\) −0.500000 0.363271i −0.500000 0.363271i
\(643\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(644\) 0 0
\(645\) 0 0
\(646\) 0 0
\(647\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(648\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(649\) 0.381966 0.381966
\(650\) 0 0
\(651\) 2.61803 2.61803
\(652\) 0 0
\(653\) 1.30902 0.951057i 1.30902 0.951057i 0.309017 0.951057i \(-0.400000\pi\)
1.00000 \(0\)
\(654\) 0 0
\(655\) 0.618034 1.90211i 0.618034 1.90211i
\(656\) 0 0
\(657\) 2.00000 2.00000
\(658\) 0 0
\(659\) −0.500000 + 1.53884i −0.500000 + 1.53884i 0.309017 + 0.951057i \(0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(660\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(661\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(662\) 0 0
\(663\) 0 0
\(664\) −0.500000 1.53884i −0.500000 1.53884i
\(665\) 0 0
\(666\) 0 0
\(667\) 0 0
\(668\) 0 0
\(669\) −0.500000 0.363271i −0.500000 0.363271i
\(670\) 0 0
\(671\) 0 0
\(672\) 1.30902 0.951057i 1.30902 0.951057i
\(673\) −0.500000 1.53884i −0.500000 1.53884i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 0.951057i \(-0.400000\pi\)
\(674\) −1.61803 −1.61803
\(675\) −0.809017 0.587785i −0.809017 0.587785i
\(676\) 1.00000 1.00000
\(677\) −0.500000 1.53884i −0.500000 1.53884i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 0.951057i \(-0.400000\pi\)
\(678\) 0 0
\(679\) −2.11803 + 1.53884i −2.11803 + 1.53884i
\(680\) 0 0
\(681\) −0.500000 0.363271i −0.500000 0.363271i
\(682\) −1.00000 −1.00000
\(683\) −0.500000 0.363271i −0.500000 0.363271i 0.309017 0.951057i \(-0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(684\) 0 0
\(685\) 0 0
\(686\) −0.309017 0.951057i −0.309017 0.951057i
\(687\) 0 0
\(688\) 0 0
\(689\) 0 0
\(690\) 0 0
\(691\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(692\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(693\) −1.00000 −1.00000
\(694\) −0.500000 0.363271i −0.500000 0.363271i
\(695\) 0 0
\(696\) −1.61803 + 1.17557i −1.61803 + 1.17557i
\(697\) 0 0
\(698\) 0 0
\(699\) 0 0
\(700\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(701\) 2.00000 2.00000 1.00000 \(0\)
1.00000 \(0\)
\(702\) 0 0
\(703\) 0 0
\(704\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(705\) 0 0
\(706\) 0 0
\(707\) −1.00000 −1.00000
\(708\) −0.500000 0.363271i −0.500000 0.363271i
\(709\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(710\) 0 0
\(711\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(712\) 0 0
\(713\) 0 0
\(714\) 0 0
\(715\) 0 0
\(716\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(717\) 0 0
\(718\) 0 0
\(719\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(720\) 0.309017 0.951057i 0.309017 0.951057i
\(721\) −2.11803 + 1.53884i −2.11803 + 1.53884i
\(722\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(723\) −0.500000 1.53884i −0.500000 1.53884i
\(724\) 0 0
\(725\) 0.618034 1.90211i 0.618034 1.90211i
\(726\) −0.618034 −0.618034
\(727\) 0.618034 + 1.90211i 0.618034 + 1.90211i 0.309017 + 0.951057i \(0.400000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(728\) 0 0
\(729\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(730\) −1.61803 1.17557i −1.61803 1.17557i
\(731\) 0 0
\(732\) 0 0
\(733\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(734\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(735\) −1.30902 0.951057i −1.30902 0.951057i
\(736\) 0 0
\(737\) 0 0
\(738\) 0 0
\(739\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(740\) 0 0
\(741\) 0 0
\(742\) 0.809017 + 0.587785i 0.809017 + 0.587785i
\(743\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(744\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(745\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(746\) 0 0
\(747\) 1.30902 0.951057i 1.30902 0.951057i
\(748\) 0 0
\(749\) −1.00000 −1.00000
\(750\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(751\) −1.61803 −1.61803 −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(752\) 0 0
\(753\) 1.30902 0.951057i 1.30902 0.951057i
\(754\) 0 0
\(755\) −0.500000 1.53884i −0.500000 1.53884i
\(756\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(757\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(758\) 0 0
\(759\) 0 0
\(760\) 0 0
\(761\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(762\) 0.190983 0.587785i 0.190983 0.587785i
\(763\) 0 0
\(764\) 0 0
\(765\) 0 0
\(766\) 0 0
\(767\) 0 0
\(768\) 1.00000 1.00000
\(769\) 1.30902 + 0.951057i 1.30902 + 0.951057i 1.00000 \(0\)
0.309017 + 0.951057i \(0.400000\pi\)
\(770\) 0.809017 + 0.587785i 0.809017 + 0.587785i
\(771\) 0 0
\(772\) 1.30902 0.951057i 1.30902 0.951057i
\(773\) 0.190983 + 0.587785i 0.190983 + 0.587785i 1.00000 \(0\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(774\) 0 0
\(775\) −1.61803 −1.61803
\(776\) −1.61803 −1.61803
\(777\) 0 0
\(778\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(779\) 0 0
\(780\) 0 0
\(781\) 0 0
\(782\) 0 0
\(783\) −1.61803 1.17557i −1.61803 1.17557i
\(784\) 0.500000 1.53884i 0.500000 1.53884i
\(785\) 0 0
\(786\) 0.618034 + 1.90211i 0.618034 + 1.90211i
\(787\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(788\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(789\) 0 0
\(790\) 0.190983 0.587785i 0.190983 0.587785i
\(791\) 0 0
\(792\) −0.500000 0.363271i −0.500000 0.363271i
\(793\) 0 0
\(794\) 0 0
\(795\) 0.618034 0.618034
\(796\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(797\) −0.500000 + 0.363271i −0.500000 + 0.363271i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(798\) 0 0
\(799\) 0 0
\(800\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(801\) 0 0
\(802\) 0 0
\(803\) −1.00000 + 0.726543i −1.00000 + 0.726543i
\(804\) 0 0
\(805\) 0 0
\(806\) 0 0
\(807\) −1.61803 −1.61803
\(808\) −0.500000 0.363271i −0.500000 0.363271i
\(809\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(810\) 1.00000 1.00000
\(811\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(812\) −1.00000 + 3.07768i −1.00000 + 3.07768i
\(813\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(814\) 0 0
\(815\) 0 0
\(816\) 0 0
\(817\) 0 0
\(818\) 0.618034 0.618034
\(819\) 0 0
\(820\) 0 0
\(821\) 1.30902 0.951057i 1.30902 0.951057i 0.309017 0.951057i \(-0.400000\pi\)
1.00000 \(0\)
\(822\) 0 0
\(823\) 0.190983 + 0.587785i 0.190983 + 0.587785i 1.00000 \(0\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(824\) −1.61803 −1.61803
\(825\) 0.618034 0.618034
\(826\) −1.00000 −1.00000
\(827\) −0.500000 1.53884i −0.500000 1.53884i −0.809017 0.587785i \(-0.800000\pi\)
0.309017 0.951057i \(-0.400000\pi\)
\(828\) 0 0
\(829\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(830\) −1.61803 −1.61803
\(831\) 0 0
\(832\) 0 0
\(833\) 0 0
\(834\) 0 0
\(835\) 0 0
\(836\) 0 0
\(837\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(838\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(839\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(840\) −0.500000 1.53884i −0.500000 1.53884i
\(841\) 0.927051 2.85317i 0.927051 2.85317i
\(842\) 0 0
\(843\) 0 0
\(844\) 0 0
\(845\) 0.309017 0.951057i 0.309017 0.951057i
\(846\) 0 0
\(847\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(848\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(849\) 0 0
\(850\) 0 0
\(851\) 0 0
\(852\) 0 0
\(853\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(854\) 0 0
\(855\) 0 0
\(856\) −0.500000 0.363271i −0.500000 0.363271i
\(857\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(858\) 0 0
\(859\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(860\) 0 0
\(861\) 0 0
\(862\) 0 0
\(863\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(864\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(865\) 1.30902 0.951057i 1.30902 0.951057i
\(866\) 0.190983 0.587785i 0.190983 0.587785i
\(867\) −0.809017 0.587785i −0.809017 0.587785i
\(868\) 2.61803 2.61803
\(869\) −0.309017 0.224514i −0.309017 0.224514i
\(870\) 0.618034 + 1.90211i 0.618034 + 1.90211i
\(871\) 0 0
\(872\) 0 0
\(873\) −0.500000 1.53884i −0.500000 1.53884i
\(874\) 0 0
\(875\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(876\) 2.00000 2.00000
\(877\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(878\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(879\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(880\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(881\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(882\) 1.61803 1.61803
\(883\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(884\) 0 0
\(885\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(886\) −0.500000 1.53884i −0.500000 1.53884i
\(887\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(888\) 0 0
\(889\) −0.309017 0.951057i −0.309017 0.951057i
\(890\) 0 0
\(891\) 0.190983 0.587785i 0.190983 0.587785i
\(892\) −0.500000 0.363271i −0.500000 0.363271i
\(893\) 0 0
\(894\) −0.500000 0.363271i −0.500000 0.363271i
\(895\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(896\) 1.30902 0.951057i 1.30902 0.951057i
\(897\) 0 0
\(898\) 0 0
\(899\) −3.23607 −3.23607
\(900\) −0.809017 0.587785i −0.809017 0.587785i
\(901\) 0 0
\(902\) 0 0
\(903\) 0 0
\(904\) 0 0
\(905\) 0 0
\(906\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(907\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(908\) −0.500000 0.363271i −0.500000 0.363271i
\(909\) 0.190983 0.587785i 0.190983 0.587785i
\(910\) 0 0
\(911\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(912\) 0 0
\(913\) −0.309017 + 0.951057i −0.309017 + 0.951057i
\(914\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(915\) 0 0
\(916\) 0 0
\(917\) 2.61803 + 1.90211i 2.61803 + 1.90211i
\(918\) 0 0
\(919\) −1.61803 1.17557i −1.61803 1.17557i −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 0.587785i \(-0.800000\pi\)
\(920\) 0 0
\(921\) 0 0
\(922\) 1.30902 0.951057i 1.30902 0.951057i
\(923\) 0 0
\(924\) −1.00000 −1.00000
\(925\) 0 0
\(926\) 2.00000 2.00000
\(927\) −0.500000 1.53884i −0.500000 1.53884i
\(928\) −1.61803 + 1.17557i −1.61803 + 1.17557i
\(929\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(930\) 1.30902 0.951057i 1.30902 0.951057i
\(931\) 0 0
\(932\) 0 0
\(933\) 0 0
\(934\) 0.190983 0.587785i 0.190983 0.587785i
\(935\) 0 0
\(936\) 0 0
\(937\) −0.500000 + 1.53884i −0.500000 + 1.53884i 0.309017 + 0.951057i \(0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(938\) 0 0
\(939\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(940\) 0 0
\(941\) −0.500000 + 1.53884i −0.500000 + 1.53884i 0.309017 + 0.951057i \(0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(942\) 0 0
\(943\) 0 0
\(944\) −0.500000 0.363271i −0.500000 0.363271i
\(945\) 1.30902 0.951057i 1.30902 0.951057i
\(946\) 0 0
\(947\) 1.30902 0.951057i 1.30902 0.951057i 0.309017 0.951057i \(-0.400000\pi\)
1.00000 \(0\)
\(948\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(949\) 0 0
\(950\) 0 0
\(951\) 0.618034 0.618034
\(952\) 0 0
\(953\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(954\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(955\) 0 0
\(956\) 0 0
\(957\) 1.23607 1.23607
\(958\) 0 0
\(959\) 0 0
\(960\) 0.309017 0.951057i 0.309017 0.951057i
\(961\) 0.500000 + 1.53884i 0.500000 + 1.53884i
\(962\) 0 0
\(963\) 0.190983 0.587785i 0.190983 0.587785i
\(964\) −0.500000 1.53884i −0.500000 1.53884i
\(965\) −0.500000 1.53884i −0.500000 1.53884i
\(966\) 0 0
\(967\) 1.30902 + 0.951057i 1.30902 + 0.951057i 1.00000 \(0\)
0.309017 + 0.951057i \(0.400000\pi\)
\(968\) −0.618034 −0.618034
\(969\) 0 0
\(970\) −0.500000 + 1.53884i −0.500000 + 1.53884i
\(971\) 1.30902 0.951057i 1.30902 0.951057i 0.309017 0.951057i \(-0.400000\pi\)
1.00000 \(0\)
\(972\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(973\) 0 0
\(974\) 0.618034 0.618034
\(975\) 0 0
\(976\) 0 0
\(977\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(978\) 0 0
\(979\) 0 0
\(980\) −1.30902 0.951057i −1.30902 0.951057i
\(981\) 0 0
\(982\) −1.61803 −1.61803
\(983\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(984\) 0 0
\(985\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(986\) 0 0
\(987\) 0 0
\(988\) 0 0
\(989\) 0 0
\(990\) −0.500000 + 0.363271i −0.500000 + 0.363271i
\(991\) −0.500000 + 1.53884i −0.500000 + 1.53884i 0.309017 + 0.951057i \(0.400000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(992\) 1.30902 + 0.951057i 1.30902 + 0.951057i
\(993\) 0 0
\(994\) 0 0
\(995\) 0.190983 + 0.587785i 0.190983 + 0.587785i
\(996\) 1.30902 0.951057i 1.30902 0.951057i
\(997\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(998\) 0 0
\(999\) 0 0
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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 600.1.bj.a.581.1 yes 4
3.2 odd 2 600.1.bj.b.581.1 yes 4
4.3 odd 2 2400.1.cp.b.881.1 4
5.2 odd 4 3000.1.z.b.1349.1 8
5.3 odd 4 3000.1.z.b.1349.2 8
5.4 even 2 3000.1.bj.b.1901.1 4
8.3 odd 2 2400.1.cp.a.881.1 4
8.5 even 2 600.1.bj.b.581.1 yes 4
12.11 even 2 2400.1.cp.a.881.1 4
15.2 even 4 3000.1.z.a.1349.2 8
15.8 even 4 3000.1.z.a.1349.1 8
15.14 odd 2 3000.1.bj.a.1901.1 4
24.5 odd 2 CM 600.1.bj.a.581.1 yes 4
24.11 even 2 2400.1.cp.b.881.1 4
25.3 odd 20 3000.1.z.b.149.1 8
25.4 even 10 3000.1.bj.b.101.1 4
25.21 even 5 inner 600.1.bj.a.221.1 4
25.22 odd 20 3000.1.z.b.149.2 8
40.13 odd 4 3000.1.z.a.1349.1 8
40.29 even 2 3000.1.bj.a.1901.1 4
40.37 odd 4 3000.1.z.a.1349.2 8
75.29 odd 10 3000.1.bj.a.101.1 4
75.47 even 20 3000.1.z.a.149.1 8
75.53 even 20 3000.1.z.a.149.2 8
75.71 odd 10 600.1.bj.b.221.1 yes 4
100.71 odd 10 2400.1.cp.b.2321.1 4
120.29 odd 2 3000.1.bj.b.1901.1 4
120.53 even 4 3000.1.z.b.1349.2 8
120.77 even 4 3000.1.z.b.1349.1 8
200.21 even 10 600.1.bj.b.221.1 yes 4
200.29 even 10 3000.1.bj.a.101.1 4
200.53 odd 20 3000.1.z.a.149.2 8
200.171 odd 10 2400.1.cp.a.2321.1 4
200.197 odd 20 3000.1.z.a.149.1 8
300.71 even 10 2400.1.cp.a.2321.1 4
600.29 odd 10 3000.1.bj.b.101.1 4
600.53 even 20 3000.1.z.b.149.1 8
600.197 even 20 3000.1.z.b.149.2 8
600.221 odd 10 inner 600.1.bj.a.221.1 4
600.371 even 10 2400.1.cp.b.2321.1 4
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
600.1.bj.a.221.1 4 25.21 even 5 inner
600.1.bj.a.221.1 4 600.221 odd 10 inner
600.1.bj.a.581.1 yes 4 1.1 even 1 trivial
600.1.bj.a.581.1 yes 4 24.5 odd 2 CM
600.1.bj.b.221.1 yes 4 75.71 odd 10
600.1.bj.b.221.1 yes 4 200.21 even 10
600.1.bj.b.581.1 yes 4 3.2 odd 2
600.1.bj.b.581.1 yes 4 8.5 even 2
2400.1.cp.a.881.1 4 8.3 odd 2
2400.1.cp.a.881.1 4 12.11 even 2
2400.1.cp.a.2321.1 4 200.171 odd 10
2400.1.cp.a.2321.1 4 300.71 even 10
2400.1.cp.b.881.1 4 4.3 odd 2
2400.1.cp.b.881.1 4 24.11 even 2
2400.1.cp.b.2321.1 4 100.71 odd 10
2400.1.cp.b.2321.1 4 600.371 even 10
3000.1.z.a.149.1 8 75.47 even 20
3000.1.z.a.149.1 8 200.197 odd 20
3000.1.z.a.149.2 8 75.53 even 20
3000.1.z.a.149.2 8 200.53 odd 20
3000.1.z.a.1349.1 8 15.8 even 4
3000.1.z.a.1349.1 8 40.13 odd 4
3000.1.z.a.1349.2 8 15.2 even 4
3000.1.z.a.1349.2 8 40.37 odd 4
3000.1.z.b.149.1 8 25.3 odd 20
3000.1.z.b.149.1 8 600.53 even 20
3000.1.z.b.149.2 8 25.22 odd 20
3000.1.z.b.149.2 8 600.197 even 20
3000.1.z.b.1349.1 8 5.2 odd 4
3000.1.z.b.1349.1 8 120.77 even 4
3000.1.z.b.1349.2 8 5.3 odd 4
3000.1.z.b.1349.2 8 120.53 even 4
3000.1.bj.a.101.1 4 75.29 odd 10
3000.1.bj.a.101.1 4 200.29 even 10
3000.1.bj.a.1901.1 4 15.14 odd 2
3000.1.bj.a.1901.1 4 40.29 even 2
3000.1.bj.b.101.1 4 25.4 even 10
3000.1.bj.b.101.1 4 600.29 odd 10
3000.1.bj.b.1901.1 4 5.4 even 2
3000.1.bj.b.1901.1 4 120.29 odd 2