Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3800,1,Mod(99,3800)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3800, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 9, 2]))
N = Newforms(chi, 1, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("3800.99");
S:= CuspForms(chi, 1);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 3800.cq (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 152) |
Projective image: | |
Projective field: | Galois closure of 9.1.69564674215936.1 |
Embedding invariants
Embedding label | 899.1 | ||
Root | of defining polynomial | ||
Character | 3800.899 | ||
Dual form | 3800.1.cq.b.1099.1 |
-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 on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.642788 | − | 0.766044i | −0.642788 | − | 0.766044i | |||||
0.524005 | − | 1.43969i | 0.524005 | − | 1.43969i | −0.342020 | − | 0.939693i | ||
0.866025 | − | 0.500000i | ||||||||
−0.173648 | + | 0.984808i | −0.173648 | + | 0.984808i | |||||
0 | 0 | |||||||||
−1.43969 | + | 0.524005i | −1.43969 | + | 0.524005i | |||||
0 | 0 | −0.866025 | − | 0.500000i | ||||||
0.866025 | + | 0.500000i | ||||||||
0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | |||||
−1.03209 | − | 0.866025i | −1.03209 | − | 0.866025i | |||||
0 | 0 | |||||||||
0.939693 | + | 1.62760i | 0.939693 | + | 1.62760i | 0.766044 | + | 0.642788i | ||
0.173648 | + | 0.984808i | ||||||||
1.32683 | + | 0.766044i | 1.32683 | + | 0.766044i | |||||
0 | 0 | −0.342020 | − | 0.939693i | ||||||
0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.939693 | − | 0.342020i | −0.939693 | − | 0.342020i | |||||
0.642788 | + | 0.766044i | 0.642788 | + | 0.766044i | 0.984808 | − | 0.173648i | ||
−0.342020 | + | 0.939693i | ||||||||
1.34730i | 1.34730i | |||||||||
−0.173648 | + | 0.984808i | −0.173648 | + | 0.984808i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.642788 | − | 1.76604i | 0.642788 | − | 1.76604i | |||||
0 | 0 | −0.984808 | − | 0.173648i | ||||||
0.984808 | + | 0.173648i | ||||||||
−0.266044 | − | 1.50881i | −0.266044 | − | 1.50881i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.460802 | + | 0.266044i | −0.460802 | + | 0.266044i | |||||
0 | 0 | |||||||||
0 | 0 | −0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | 0.500000 | − | 0.866025i | ||||||
−0.500000 | + | 0.866025i | ||||||||
0.342020 | + | 0.939693i | 0.342020 | + | 0.939693i | |||||
2.83564 | − | 0.500000i | 2.83564 | − | 0.500000i | |||||
0.173648 | − | 0.984808i | 0.173648 | − | 0.984808i | |||||
0 | 0 | |||||||||
1.03209 | − | 0.866025i | 1.03209 | − | 0.866025i | |||||
0 | 0 | − | 1.00000i | |||||||
1.00000i | ||||||||||
0.866025 | − | 0.500000i | 0.866025 | − | 0.500000i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.326352 | − | 0.118782i | −0.326352 | − | 0.118782i | 0.173648 | − | 0.984808i | ||
−0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
0.984808 | − | 0.173648i | 0.984808 | − | 0.173648i | 0.342020 | − | 0.939693i | ||
0.642788 | + | 0.766044i | ||||||||
−1.76604 | + | 0.642788i | −1.76604 | + | 0.642788i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.642788 | − | 0.766044i | ||||||
−0.642788 | + | 0.766044i | ||||||||
−0.984808 | + | 1.17365i | −0.984808 | + | 1.17365i | |||||
0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | |||||
0 | 0 | |||||||||
1.43969 | − | 0.524005i | 1.43969 | − | 0.524005i | |||||
0 | 0 | |||||||||
0 | 0 | −0.984808 | − | 0.173648i | ||||||
0.984808 | + | 0.173648i | ||||||||
0.500000 | + | 0.181985i | 0.500000 | + | 0.181985i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.32683 | + | 0.766044i | 1.32683 | + | 0.766044i | |||||
0 | 0 | |||||||||
1.43969 | − | 1.20805i | 1.43969 | − | 1.20805i | 0.500000 | − | 0.866025i | ||
0.939693 | − | 0.342020i | ||||||||
0 | 0 | |||||||||
0 | 0 | 0.173648 | − | 0.984808i | ||||||
−0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | |||||
0 | 0 | |||||||||
−2.20574 | − | 1.85083i | −2.20574 | − | 1.85083i | |||||
0.223238 | − | 0.266044i | 0.223238 | − | 0.266044i | −0.642788 | − | 0.766044i | ||
0.866025 | + | 0.500000i | ||||||||
−0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.173648 | − | 0.984808i | ||||||
0.173648 | + | 0.984808i | ||||||||
−1.32683 | − | 0.233956i | −1.32683 | − | 0.233956i | |||||
−0.642788 | + | 1.76604i | −0.642788 | + | 1.76604i | 1.00000i | ||||
−0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.939693 | − | 0.342020i | −0.939693 | − | 0.342020i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.939693 | − | 0.342020i | ||||||
0.939693 | + | 0.342020i | ||||||||
0 | 0 | |||||||||
−0.0923963 | − | 0.524005i | −0.0923963 | − | 0.524005i | |||||
0.118782 | + | 0.326352i | 0.118782 | + | 0.326352i | |||||
−0.300767 | − | 0.173648i | −0.300767 | − | 0.173648i | 0.342020 | − | 0.939693i | ||
−0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.766044 | − | 0.642788i | −0.766044 | − | 0.642788i | |||||
0 | 0 | |||||||||
1.62760 | + | 0.939693i | 1.62760 | + | 0.939693i | |||||
−0.939693 | + | 0.342020i | −0.939693 | + | 0.342020i | −0.766044 | − | 0.642788i | ||
−0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.53209 | 1.53209 | |||||||||
−0.223238 | − | 0.266044i | −0.223238 | − | 0.266044i | 0.642788 | − | 0.766044i | ||
−0.866025 | + | 0.500000i | ||||||||
0.342020 | − | 0.939693i | 0.342020 | − | 0.939693i | |||||
0.439693 | − | 2.49362i | 0.439693 | − | 2.49362i | |||||
0 | 0 | |||||||||
0 | 0 | 0.939693 | − | 0.342020i | ||||||
−0.939693 | + | 0.342020i | ||||||||
−1.32683 | − | 0.766044i | −1.32683 | − | 0.766044i | |||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | − | 1.00000i | |||
−0.866025 | + | 0.500000i | ||||||||
−0.181985 | − | 0.500000i | −0.181985 | − | 0.500000i | |||||
0 | 0 | −0.173648 | − | 0.984808i | ||||||
0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 1.87939i | − | 1.87939i | −0.342020 | − | 0.939693i | ||||
0.342020 | − | 0.939693i | ||||||||
−0.266044 | − | 1.50881i | −0.266044 | − | 1.50881i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.85083 | − | 0.326352i | −1.85083 | − | 0.326352i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.26604 | + | 2.19285i | −1.26604 | + | 2.19285i | |||||
0 | 0 | |||||||||
−0.342020 | + | 0.407604i | −0.342020 | + | 0.407604i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.342020 | − | 0.939693i | ||||||
0.342020 | + | 0.939693i | ||||||||
−0.984808 | + | 0.173648i | −0.984808 | + | 0.173648i | |||||
0.266044 | − | 1.50881i | 0.266044 | − | 1.50881i | |||||
0 | 0 | |||||||||
1.17365 | − | 0.984808i | 1.17365 | − | 0.984808i | 0.173648 | − | 0.984808i | ||
1.00000 | ||||||||||
2.87939i | 2.87939i | |||||||||
0 | 0 | |||||||||
−0.347296 | −0.347296 | |||||||||
0 | 0 | |||||||||
0.939693 | + | 0.342020i | 0.939693 | + | 0.342020i | |||||
−1.50881 | − | 0.266044i | −1.50881 | − | 0.266044i | −0.642788 | − | 0.766044i | ||
−0.866025 | + | 0.500000i | ||||||||
0 | 0 | |||||||||
0.326352 | − | 0.118782i | 0.326352 | − | 0.118782i | −0.173648 | − | 0.984808i | ||
0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.673648 | + | 1.16679i | 0.673648 | + | 1.16679i | |||||
0 | 0 | |||||||||
1.76604 | − | 0.642788i | 1.76604 | − | 0.642788i | |||||
1.50881 | − | 0.266044i | 1.50881 | − | 0.266044i | |||||
0 | 0 | |||||||||
0 | 0 | −0.939693 | − | 0.342020i | ||||||
0.939693 | + | 0.342020i | ||||||||
0 | 0 | |||||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
0.342020 | + | 0.939693i | 0.342020 | + | 0.939693i | |||||
− | 1.34730i | − | 1.34730i | |||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.984808 | − | 0.173648i | ||||||
−0.984808 | + | 0.173648i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.342020 | + | 0.407604i | −0.342020 | + | 0.407604i | |||||
1.32683 | − | 0.766044i | 1.32683 | − | 0.766044i | 0.342020 | − | 0.939693i | ||
0.984808 | + | 0.173648i | ||||||||
0.173648 | − | 0.300767i | 0.173648 | − | 0.300767i | |||||
0 | 0 | |||||||||
0.0603074 | + | 0.342020i | 0.0603074 | + | 0.342020i | |||||
0 | 0 | −0.984808 | − | 0.173648i | ||||||
0.984808 | + | 0.173648i | ||||||||
0 | 0 | |||||||||
−0.766044 | + | 0.642788i | −0.766044 | + | 0.642788i | |||||
0 | 0 | |||||||||
1.03209 | − | 0.866025i | 1.03209 | − | 0.866025i | |||||
1.00000i | 1.00000i | |||||||||
0 | 0 | −0.642788 | − | 0.766044i | ||||||
0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.326352 | − | 1.85083i | −0.326352 | − | 1.85083i | |||||
−0.984808 | − | 2.70574i | −0.984808 | − | 2.70574i | |||||
0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | |||||
0.173648 | + | 0.300767i | 0.173648 | + | 0.300767i | 0.939693 | − | 0.342020i | ||
−0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | −0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.642788 | + | 1.76604i | −0.642788 | + | 1.76604i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
−0.984808 | − | 1.17365i | −0.984808 | − | 1.17365i | |||||
−0.342020 | + | 0.939693i | −0.342020 | + | 0.939693i | 0.642788 | + | 0.766044i | ||
−0.984808 | + | 0.173648i | ||||||||
−0.0603074 | + | 0.342020i | −0.0603074 | + | 0.342020i | |||||
0 | 0 | |||||||||
−0.939693 | + | 0.342020i | −0.939693 | + | 0.342020i | |||||
0 | 0 | −0.866025 | − | 0.500000i | ||||||
0.866025 | + | 0.500000i | ||||||||
−2.19285 | + | 1.26604i | −2.19285 | + | 1.26604i | |||||
0 | 0 | −0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
−0.266044 | − | 0.460802i | −0.266044 | − | 0.460802i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.266044 | + | 1.50881i | 0.266044 | + | 1.50881i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.76604 | + | 0.642788i | −1.76604 | + | 0.642788i | |||||
0 | 0 | |||||||||
−0.766044 | + | 0.642788i | −0.766044 | + | 0.642788i | −0.939693 | − | 0.342020i | ||
0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.173648 | + | 0.984808i | 0.173648 | + | 0.984808i | |||||
0 | 0 | |||||||||
−0.266044 | + | 0.460802i | −0.266044 | + | 0.460802i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.20574 | + | 1.85083i | 2.20574 | + | 1.85083i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.984808 | − | 0.173648i | ||||||
−0.984808 | + | 0.173648i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.43969 | + | 1.20805i | −1.43969 | + | 1.20805i | |||||
− | 0.347296i | − | 0.347296i | −0.984808 | − | 0.173648i | ||||
0.984808 | − | 0.173648i | ||||||||
−0.984808 | + | 1.17365i | −0.984808 | + | 1.17365i | |||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.50881 | + | 0.266044i | −1.50881 | + | 0.266044i | −0.866025 | − | 0.500000i | ||
−0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.939693 | + | 1.62760i | 0.939693 | + | 1.62760i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.500000 | − | 0.866025i | ||||||
0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
−1.43969 | + | 0.524005i | −1.43969 | + | 0.524005i | −0.939693 | − | 0.342020i | ||
−0.500000 | + | 0.866025i | ||||||||
2.49362 | − | 0.439693i | 2.49362 | − | 0.439693i | |||||
−1.32683 | − | 0.233956i | −1.32683 | − | 0.233956i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.532089 | 0.532089 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.407604 | + | 0.342020i | −0.407604 | + | 0.342020i | |||||
0 | 0 | |||||||||
0.266044 | − | 1.50881i | 0.266044 | − | 1.50881i | −0.500000 | − | 0.866025i | ||
0.766044 | − | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.766044 | + | 0.642788i | 0.766044 | + | 0.642788i | |||||
0.984808 | − | 1.17365i | 0.984808 | − | 1.17365i | − | 1.00000i | |||
0.984808 | − | 0.173648i | ||||||||
−1.32683 | + | 0.766044i | −1.32683 | + | 0.766044i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.50881 | − | 0.266044i | −1.50881 | − | 0.266044i | |||||
0 | 0 | 0.342020 | − | 0.939693i | ||||||
−0.342020 | + | 0.939693i | ||||||||
2.20574 | − | 1.85083i | 2.20574 | − | 1.85083i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.53209i | 1.53209i | |||||||||
0.223238 | + | 0.266044i | 0.223238 | + | 0.266044i | |||||
0 | 0 | −0.939693 | − | 0.342020i | ||||||
0.939693 | + | 0.342020i | ||||||||
0 | 0 | |||||||||
0 | 0 | −0.173648 | − | 0.984808i | ||||||
0.173648 | + | 0.984808i | ||||||||
−0.342020 | − | 0.939693i | −0.342020 | − | 0.939693i | |||||
0 | 0 | |||||||||
0.766044 | + | 1.32683i | 0.766044 | + | 1.32683i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
−0.300767 | − | 0.173648i | −0.300767 | − | 0.173648i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.266044 | − | 1.50881i | 0.266044 | − | 1.50881i | −0.500000 | − | 0.866025i | ||
0.766044 | − | 0.642788i | ||||||||
0 | 0 | |||||||||
−1.20805 | − | 1.43969i | −1.20805 | − | 1.43969i | −0.866025 | − | 0.500000i | ||
−0.342020 | − | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.460802 | − | 1.26604i | 0.460802 | − | 1.26604i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.500000 | + | 0.181985i | −0.500000 | + | 0.181985i | |||||
−1.62760 | − | 0.939693i | −1.62760 | − | 0.939693i | |||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
−1.17365 | − | 0.984808i | −1.17365 | − | 0.984808i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | |||||
0 | 0 | |||||||||
−1.03209 | + | 0.866025i | −1.03209 | + | 0.866025i | |||||
0.642788 | − | 1.76604i | 0.642788 | − | 1.76604i | − | 1.00000i | |||
0.642788 | − | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.500000 | − | 0.866025i | ||||||
−0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
−0.984808 | + | 1.17365i | −0.984808 | + | 1.17365i | 1.00000i | ||||
−0.984808 | + | 0.173648i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.342020 | − | 0.939693i | ||||||
0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.17365 | + | 0.984808i | −1.17365 | + | 0.984808i | |||||
0 | 0 | |||||||||
−0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | |||||
0.532089 | 0.532089 | |||||||||
0 | 0 | |||||||||
−1.43969 | − | 0.524005i | −1.43969 | − | 0.524005i | |||||
0 | 0 | |||||||||
−0.342020 | + | 0.0603074i | −0.342020 | + | 0.0603074i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.939693 | + | 1.62760i | 0.939693 | + | 1.62760i | 0.766044 | + | 0.642788i | ||
0.173648 | + | 0.984808i | ||||||||
0.223238 | − | 0.266044i | 0.223238 | − | 0.266044i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.50881 | − | 0.266044i | 1.50881 | − | 0.266044i | 0.642788 | − | 0.766044i | ||
0.866025 | + | 0.500000i | ||||||||
0.984808 | + | 0.173648i | 0.984808 | + | 0.173648i | |||||
−2.70574 | − | 0.984808i | −2.70574 | − | 0.984808i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.32683 | − | 0.233956i | −1.32683 | − | 0.233956i | |||||
0 | 0 | |||||||||
0.766044 | − | 0.642788i | 0.766044 | − | 0.642788i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.342020 | − | 0.0603074i | 0.342020 | − | 0.0603074i | − | 1.00000i | |||
0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | 0.500000 | − | 0.866025i | ||||||
−0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.20805 | + | 1.43969i | −1.20805 | + | 1.43969i | |||||
0.300767 | − | 0.173648i | 0.300767 | − | 0.173648i | −0.342020 | − | 0.939693i | ||
0.642788 | + | 0.766044i | ||||||||
−1.43969 | + | 2.49362i | −1.43969 | + | 2.49362i | |||||
0 | 0 | |||||||||
−0.173648 | − | 0.984808i | −0.173648 | − | 0.984808i | |||||
0 | 0 | |||||||||
0.118782 | − | 0.326352i | 0.118782 | − | 0.326352i | |||||
0 | 0 | 0.766044 | − | 0.642788i | ||||||
−0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
−0.939693 | − | 0.342020i | −0.939693 | − | 0.342020i | |||||
0 | 0 | |||||||||
2.49362 | + | 2.97178i | 2.49362 | + | 2.97178i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.342020 | − | 0.939693i | ||||||
0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0.233956 | + | 0.405223i | 0.233956 | + | 0.405223i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.866025 | − | 0.500000i | ||||||
0.866025 | + | 0.500000i | ||||||||
1.76604 | − | 0.642788i | 1.76604 | − | 0.642788i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.00000 | −2.00000 | −1.00000 | ||||||||
−1.00000 | ||||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.342020 | − | 0.939693i | ||||||
−0.342020 | + | 0.939693i | ||||||||
−0.266044 | + | 1.50881i | −0.266044 | + | 1.50881i | |||||
0 | 0 | |||||||||
0.939693 | − | 0.342020i | 0.939693 | − | 0.342020i | |||||
−1.16679 | − | 0.673648i | −1.16679 | − | 0.673648i | |||||
0.300767 | − | 0.173648i | 0.300767 | − | 0.173648i | |||||
0 | 0 | −0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.866025 | + | 0.500000i | 0.866025 | + | 0.500000i | |||||
−0.802823 | − | 2.20574i | −0.802823 | − | 2.20574i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.37939 | + | 0.866025i | 2.37939 | + | 0.866025i | |||||
0 | 0 | −0.642788 | − | 0.766044i | ||||||
0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.43969 | + | 1.20805i | −1.43969 | + | 1.20805i | −0.500000 | + | 0.866025i | ||
−0.939693 | + | 0.342020i | ||||||||
−0.181985 | + | 0.500000i | −0.181985 | + | 0.500000i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.984808 | − | 1.17365i | 0.984808 | − | 1.17365i | |||||
1.43969 | + | 1.20805i | 1.43969 | + | 1.20805i | 0.939693 | + | 0.342020i | ||
0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
−1.17365 | + | 2.03282i | −1.17365 | + | 2.03282i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 0.532089i | − | 0.532089i | |||||||
1.62760 | + | 0.939693i | 1.62760 | + | 0.939693i | |||||
1.00000 | 1.00000 | 0.500000 | − | 0.866025i | ||||||
0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
0 | 0 | −0.939693 | − | 0.342020i | ||||||
0.939693 | + | 0.342020i | ||||||||
0.984808 | + | 0.173648i | 0.984808 | + | 0.173648i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.642788 | − | 0.766044i | 0.642788 | − | 0.766044i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.939693 | − | 0.342020i | ||||||
−0.939693 | + | 0.342020i | ||||||||
0.524005 | − | 0.0923963i | 0.524005 | − | 0.0923963i | |||||
1.96962 | + | 0.347296i | 1.96962 | + | 0.347296i | 0.984808 | + | 0.173648i | ||
0.984808 | + | 0.173648i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 2.87939i | − | 2.87939i | |||||||
0 | 0 | 0.766044 | − | 0.642788i | ||||||
−0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0.233956 | − | 1.32683i | 0.233956 | − | 1.32683i | |||||
0 | 0 | |||||||||
−0.524005 | − | 1.43969i | −0.524005 | − | 1.43969i | −0.866025 | − | 0.500000i | ||
0.342020 | − | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.766044 | − | 1.32683i | 0.766044 | − | 1.32683i | −0.173648 | − | 0.984808i | ||
0.939693 | − | 0.342020i | ||||||||
0 | 0 | |||||||||
−0.113341 | − | 0.642788i | −0.113341 | − | 0.642788i | |||||
1.85083 | + | 0.326352i | 1.85083 | + | 0.326352i | |||||
0 | 0 | |||||||||
−0.266044 | + | 0.223238i | −0.266044 | + | 0.223238i | |||||
0 | 0 | |||||||||
1.53209 | 1.53209 | |||||||||
− | 0.347296i | − | 0.347296i | −0.984808 | − | 0.173648i | ||||
0.984808 | − | 0.173648i | ||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.181985i | −0.500000 | − | 0.181985i | |||||
0 | 0 | |||||||||
0 | 0 | −0.173648 | − | 0.984808i | ||||||
0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0 | 0 | −0.866025 | − | 0.500000i | ||||||
0.866025 | + | 0.500000i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.17365 | + | 0.984808i | 1.17365 | + | 0.984808i | |||||
−0.300767 | + | 0.173648i | −0.300767 | + | 0.173648i | −0.642788 | − | 0.766044i | ||
0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.642788 | − | 1.76604i | 0.642788 | − | 1.76604i | |||||
1.20805 | + | 1.43969i | 1.20805 | + | 1.43969i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.173648 | − | 0.984808i | ||||||
−0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.32683 | + | 0.766044i | 1.32683 | + | 0.766044i | |||||
0 | 0 | |||||||||
−1.93969 | − | 1.62760i | −1.93969 | − | 1.62760i | |||||
0 | 0 | |||||||||
0.673648 | + | 1.16679i | 0.673648 | + | 1.16679i | |||||
0 | 0 | −0.866025 | − | 0.500000i | ||||||
0.866025 | + | 0.500000i | ||||||||
0 | 0 | |||||||||
−0.407604 | − | 2.31164i | −0.407604 | − | 2.31164i | |||||
0 | 0 | |||||||||
0.939693 | + | 0.342020i | 0.939693 | + | 0.342020i | 0.766044 | − | 0.642788i | ||
0.173648 | + | 0.984808i | ||||||||
−0.342020 | − | 0.407604i | −0.342020 | − | 0.407604i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.524005 | + | 0.0923963i | 0.524005 | + | 0.0923963i | |||||
0.326352 | + | 1.85083i | 0.326352 | + | 1.85083i | 0.500000 | + | 0.866025i | ||
−0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.32683 | + | 0.766044i | −1.32683 | + | 0.766044i | |||||
0 | 0 | 0.642788 | − | 0.766044i | ||||||
−0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.524005 | + | 1.43969i | 0.524005 | + | 1.43969i | |||||
0 | 0 | |||||||||
0 | 0 | 0.173648 | − | 0.984808i | ||||||
−0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 1.00000i | − | 1.00000i | |||||||
−0.181985 | − | 0.500000i | −0.181985 | − | 0.500000i | |||||
−1.53209 | −1.53209 | |||||||||
0 | 0 | |||||||||
1.43969 | + | 0.524005i | 1.43969 | + | 0.524005i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.766044 | − | 1.32683i | −0.766044 | − | 1.32683i | −0.939693 | − | 0.342020i | ||
0.173648 | − | 0.984808i | ||||||||
0 | 0 | |||||||||
−1.28558 | + | 1.53209i | −1.28558 | + | 1.53209i | −0.642788 | + | 0.766044i | ||
−0.642788 | + | 0.766044i | ||||||||
0.766044 | + | 1.32683i | 0.766044 | + | 1.32683i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.83564 | − | 0.500000i | −2.83564 | − | 0.500000i | |||||
0.939693 | + | 0.342020i | 0.939693 | + | 0.342020i | |||||
0 | 0 | |||||||||
−2.53209 | −2.53209 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.17365 | − | 0.984808i | 1.17365 | − | 0.984808i | |||||
0 | 0 | |||||||||
0.0603074 | − | 0.342020i | 0.0603074 | − | 0.342020i | |||||
0.524005 | − | 0.0923963i | 0.524005 | − | 0.0923963i | |||||
0 | 0 | |||||||||
−0.939693 | + | 1.62760i | −0.939693 | + | 1.62760i | |||||
0 | 0 | |||||||||
0 | 0 | −0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.984808 | + | 0.173648i | 0.984808 | + | 0.173648i | 0.642788 | − | 0.766044i | ||
0.342020 | + | 0.939693i | ||||||||
0.524005 | − | 1.43969i | 0.524005 | − | 1.43969i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.0603074 | + | 0.342020i | 0.0603074 | + | 0.342020i | |||||
0 | 0 | −0.342020 | − | 0.939693i | ||||||
0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.20574 | + | 1.85083i | 2.20574 | + | 1.85083i | |||||
−1.32683 | + | 0.766044i | −1.32683 | + | 0.766044i | |||||
1.62760 | + | 0.939693i | 1.62760 | + | 0.939693i | 0.984808 | + | 0.173648i | ||
0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.326352 | + | 1.85083i | −0.326352 | + | 1.85083i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.00000 | 1.00000 | 0.500000 | − | 0.866025i | ||||||
0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
1.53209 | 1.53209 | 0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.26604 | + | 0.460802i | −1.26604 | + | 0.460802i | |||||
−1.62760 | − | 0.939693i | −1.62760 | − | 0.939693i | −0.984808 | − | 0.173648i | ||
−0.642788 | − | 0.766044i | ||||||||
0 | 0 | |||||||||
1.17365 | + | 0.984808i | 1.17365 | + | 0.984808i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.460802 | + | 0.266044i | 0.460802 | + | 0.266044i | |||||
0 | 0 | |||||||||
0.326352 | + | 1.85083i | 0.326352 | + | 1.85083i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.642788 | + | 0.766044i | 0.642788 | + | 0.766044i | 0.984808 | − | 0.173648i | ||
−0.342020 | + | 0.939693i | ||||||||
1.53209i | 1.53209i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.85083 | − | 0.326352i | −1.85083 | − | 0.326352i | −0.866025 | − | 0.500000i | ||
−0.984808 | + | 0.173648i | ||||||||
0.173648 | + | 0.984808i | 0.173648 | + | 0.984808i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0.939693 | − | 1.62760i | 0.939693 | − | 1.62760i | 0.173648 | − | 0.984808i | ||
0.766044 | − | 0.642788i | ||||||||
0 | 0 | |||||||||
−0.460802 | + | 0.0812519i | −0.460802 | + | 0.0812519i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | − | 1.00000i | |||||||
1.00000i | ||||||||||
−0.984808 | + | 0.173648i | −0.984808 | + | 0.173648i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.32683 | + | 0.233956i | 1.32683 | + | 0.233956i | |||||
0 | 0 | 0.984808 | − | 0.173648i | ||||||
−0.984808 | + | 0.173648i | ||||||||
−1.76604 | + | 0.642788i | −1.76604 | + | 0.642788i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.20805 | + | 1.43969i | −1.20805 | + | 1.43969i | −0.342020 | + | 0.939693i | ||
−0.866025 | + | 0.500000i | ||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||
−1.00000 | ||||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.53209 | 1.53209 | |||||||||
2.87939i | 2.87939i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.173648 | − | 0.984808i | ||||||
−0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0.524005 | + | 1.43969i | 0.524005 | + | 1.43969i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.0603074 | + | 0.342020i | 0.0603074 | + | 0.342020i | 1.00000 | ||||
−0.939693 | + | 0.342020i | ||||||||
1.50881 | + | 0.266044i | 1.50881 | + | 0.266044i | |||||
0.524005 | − | 1.43969i | 0.524005 | − | 1.43969i | −0.342020 | − | 0.939693i | ||
0.866025 | − | 0.500000i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.939693 | + | 0.342020i | 0.939693 | + | 0.342020i | |||||
0 | 0 | − | 1.00000i | |||||||
1.00000i | ||||||||||
−0.342020 | − | 0.407604i | −0.342020 | − | 0.407604i | |||||
3.31908 | + | 1.20805i | 3.31908 | + | 1.20805i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.524005 | + | 1.43969i | 0.524005 | + | 1.43969i | |||||
0 | 0 | −0.866025 | − | 0.500000i | ||||||
0.866025 | + | 0.500000i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.266044 | + | 0.223238i | 0.266044 | + | 0.223238i | |||||
2.19285 | − | 1.26604i | 2.19285 | − | 1.26604i | |||||
0 | 0 | |||||||||
−0.939693 | + | 0.342020i | −0.939693 | + | 0.342020i | −0.766044 | − | 0.642788i | ||
−0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
0 | 0 | 0.173648 | − | 0.984808i | ||||||
−0.173648 | + | 0.984808i | ||||||||
0.642788 | − | 1.76604i | 0.642788 | − | 1.76604i | |||||
0 | 0 | |||||||||
−0.347296 | −0.347296 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.866025 | + | 0.500000i | −0.866025 | + | 0.500000i | −0.866025 | − | 0.500000i | ||
1.00000i | ||||||||||
−1.17365 | − | 0.984808i | −1.17365 | − | 0.984808i | |||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | |||||
0 | 0 | −0.866025 | − | 0.500000i | ||||||
0.866025 | + | 0.500000i | ||||||||
0.984808 | + | 2.70574i | 0.984808 | + | 2.70574i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.181985i | −0.500000 | − | 0.181985i | |||||
0 | 0 | |||||||||
− | 1.00000i | − | 1.00000i | −0.866025 | − | 0.500000i | ||||
0.866025 | − | 0.500000i | ||||||||
0.673648 | + | 1.16679i | 0.673648 | + | 1.16679i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.984808 | − | 0.173648i | −0.984808 | − | 0.173648i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||
1.00000 | ||||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.266044 | − | 0.223238i | −0.266044 | − | 0.223238i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.118782 | − | 0.326352i | −0.118782 | − | 0.326352i | |||||
0 | 0 | |||||||||
−0.407604 | + | 2.31164i | −0.407604 | + | 2.31164i | |||||
0 | 0 | |||||||||
0 | 0 | 0.766044 | − | 0.642788i | ||||||
−0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.87939 | 1.87939 | |||||||||
0 | 0 | |||||||||
−0.326352 | − | 0.118782i | −0.326352 | − | 0.118782i | |||||
0 | 0 | |||||||||
2.83564 | − | 0.500000i | 2.83564 | − | 0.500000i | |||||
0 | 0 | 0.939693 | − | 0.342020i | ||||||
−0.939693 | + | 0.342020i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.642788 | + | 0.766044i | −0.642788 | + | 0.766044i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.326352 | + | 0.118782i | −0.326352 | + | 0.118782i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.939693 | − | 0.342020i | ||||||
0.939693 | + | 0.342020i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.342020 | + | 0.939693i | 0.342020 | + | 0.939693i | |||||
2.34730i | 2.34730i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.673648 | − | 3.82045i | 0.673648 | − | 3.82045i | |||||
0 | 0 | 0.984808 | − | 0.173648i | ||||||
−0.984808 | + | 0.173648i | ||||||||
0 | 0 | |||||||||
−0.766044 | + | 1.32683i | −0.766044 | + | 1.32683i | |||||
0 | 0 | |||||||||
0.766044 | + | 0.642788i | 0.766044 | + | 0.642788i | |||||
0 | 0 | |||||||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.642788 | + | 0.113341i | 0.642788 | + | 0.113341i | |||||
0.160035 | − | 0.439693i | 0.160035 | − | 0.439693i | |||||
−0.266044 | + | 0.223238i | −0.266044 | + | 0.223238i | −0.766044 | − | 0.642788i | ||
0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.642788 | − | 0.766044i | ||||||
0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.160035 | + | 0.439693i | 0.160035 | + | 0.439693i | |||||
−1.62760 | − | 0.939693i | −1.62760 | − | 0.939693i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
−2.03282 | − | 1.17365i | −2.03282 | − | 1.17365i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.342020 | − | 0.939693i | ||||||
−0.342020 | + | 0.939693i | ||||||||
1.28558 | + | 1.53209i | 1.28558 | + | 1.53209i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.53209 | 1.53209 | 0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.32683 | − | 0.766044i | 1.32683 | − | 0.766044i | |||||
0.766044 | + | 0.642788i | 0.766044 | + | 0.642788i | 0.939693 | − | 0.342020i | ||
−0.173648 | + | 0.984808i | ||||||||
0 | 0 | |||||||||
−1.17365 | − | 2.03282i | −1.17365 | − | 2.03282i | |||||
−0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | |||||
0 | 0 | −0.342020 | − | 0.939693i | ||||||
0.342020 | + | 0.939693i | ||||||||
0.233956 | + | 1.32683i | 0.233956 | + | 1.32683i | |||||
0 | 0 | |||||||||
−0.326352 | − | 0.118782i | −0.326352 | − | 0.118782i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.173648 | − | 0.300767i | 0.173648 | − | 0.300767i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.173648 | − | 0.984808i | −0.173648 | − | 0.984808i | |||||
0 | 0 | |||||||||
−1.17365 | + | 2.03282i | −1.17365 | + | 2.03282i | |||||
1.62760 | − | 0.939693i | 1.62760 | − | 0.939693i | 0.642788 | − | 0.766044i | ||
0.984808 | − | 0.173648i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.866025 | − | 2.37939i | −0.866025 | − | 2.37939i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | − | 1.00000i | |||||||
1.00000i | ||||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.26604 | + | 0.460802i | 1.26604 | + | 0.460802i | |||||
1.85083 | + | 0.326352i | 1.85083 | + | 0.326352i | |||||
−3.47843 | + | 0.613341i | −3.47843 | + | 0.613341i | |||||
0.500000 | − | 0.181985i | 0.500000 | − | 0.181985i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.939693 | − | 1.62760i | −0.939693 | − | 1.62760i | −0.766044 | − | 0.642788i | ||
−0.173648 | − | 0.984808i | ||||||||
0 | 0 | |||||||||
−1.87939 | + | 0.684040i | −1.87939 | + | 0.684040i | −0.939693 | + | 0.342020i | ||
−0.939693 | + | 0.342020i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.53209 | −1.53209 | |||||||||
1.00000i | 1.00000i | |||||||||
− | 1.87939i | − | 1.87939i | |||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.173648 | − | 0.984808i | ||||||
−0.173648 | + | 0.984808i | ||||||||
2.31164 | − | 0.407604i | 2.31164 | − | 0.407604i | |||||
0 | 0 | −0.342020 | − | 0.939693i | ||||||
0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.20805 | + | 1.43969i | −1.20805 | + | 1.43969i | −0.342020 | + | 0.939693i | ||
−0.866025 | + | 0.500000i | ||||||||
0 | 0 | |||||||||
0 | 0 | 0.500000 | − | 0.866025i | ||||||
−0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.342020 | + | 0.939693i | −0.342020 | + | 0.939693i | |||||
−0.407604 | + | 0.342020i | −0.407604 | + | 0.342020i | |||||
0 | 0 | |||||||||
−0.326352 | − | 1.85083i | −0.326352 | − | 1.85083i | |||||
0 | 0 | |||||||||
−0.642788 | − | 0.766044i | −0.642788 | − | 0.766044i | |||||
0 | 0 | −0.939693 | − | 0.342020i | ||||||
0.939693 | + | 0.342020i | ||||||||
0 | 0 | |||||||||
0.173648 | + | 0.984808i | 0.173648 | + | 0.984808i | |||||
0 | 0 | |||||||||
−2.03282 | − | 1.17365i | −2.03282 | − | 1.17365i | |||||
−0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.70574 | + | 0.984808i | −2.70574 | + | 0.984808i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.642788 | − | 0.766044i | ||||||
0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.00000 | −1.00000 | |||||||||
−0.984808 | − | 1.17365i | −0.984808 | − | 1.17365i | −0.984808 | − | 0.173648i | ||
− | 1.00000i | |||||||||
0 | 0 | |||||||||
0.326352 | − | 1.85083i | 0.326352 | − | 1.85083i | −0.173648 | − | 0.984808i | ||
0.500000 | − | 0.866025i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
−0.407604 | − | 0.342020i | −0.407604 | − | 0.342020i | |||||
0 | 0 | |||||||||
−1.00000 | − | 1.73205i | −1.00000 | − | 1.73205i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.467911i | 0.467911i | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.20574 | + | 1.85083i | −2.20574 | + | 1.85083i | |||||
0 | 0 | 0.342020 | − | 0.939693i | ||||||
−0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.173648 | + | 0.300767i | −0.173648 | + | 0.300767i | −0.939693 | − | 0.342020i | ||
0.766044 | + | 0.642788i | ||||||||
−1.16679 | + | 0.673648i | −1.16679 | + | 0.673648i | |||||
−0.223238 | + | 0.266044i | −0.223238 | + | 0.266044i | −0.866025 | − | 0.500000i | ||
0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.766044 | + | 1.32683i | −0.766044 | + | 1.32683i | |||||
0 | 0 | −0.342020 | − | 0.939693i | ||||||
0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.766044 | − | 0.642788i | 0.766044 | − | 0.642788i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.50881 | + | 0.266044i | −1.50881 | + | 0.266044i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.419550 | + | 0.500000i | −0.419550 | + | 0.500000i | |||||
0 | 0 | |||||||||
−0.939693 | − | 1.62760i | −0.939693 | − | 1.62760i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.85083 | + | 0.326352i | −1.85083 | + | 0.326352i | −0.984808 | − | 0.173648i | ||
−0.866025 | + | 0.500000i | ||||||||
0.342020 | + | 0.0603074i | 0.342020 | + | 0.0603074i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
−0.984808 | − | 1.17365i | −0.984808 | − | 1.17365i | |||||
− | 0.652704i | − | 0.652704i | |||||||
−0.266044 | + | 0.223238i | −0.266044 | + | 0.223238i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.181985 | + | 0.500000i | 0.181985 | + | 0.500000i | |||||
0 | 0 | 0.500000 | − | 0.866025i | ||||||
−0.500000 | + | 0.866025i | ||||||||
0 | 0 | |||||||||
−2.20574 | − | 1.85083i | −2.20574 | − | 1.85083i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.43969 | − | 1.20805i | 1.43969 | − | 1.20805i | 0.500000 | − | 0.866025i | ||
0.939693 | − | 0.342020i | ||||||||
0 | 0 | |||||||||
−0.939693 | + | 0.342020i | −0.939693 | + | 0.342020i | |||||
− | 1.53209i | − | 1.53209i | |||||||
0 | 0 | |||||||||
0.326352 | + | 0.118782i | 0.326352 | + | 0.118782i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.524005 | + | 1.43969i | 0.524005 | + | 1.43969i | 0.866025 | + | 0.500000i | ||
−0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
1.17365 | + | 2.03282i | 1.17365 | + | 2.03282i | |||||
0 | 0 | |||||||||
0 | 0 | −0.766044 | − | 0.642788i | ||||||
0.766044 | + | 0.642788i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.76604 | + | 0.642788i | −1.76604 | + | 0.642788i | |||||
0 | 0 | |||||||||
0.326352 | − | 1.85083i | 0.326352 | − | 1.85083i | |||||
−0.684040 | + | 1.87939i | −0.684040 | + | 1.87939i | −0.342020 | + | 0.939693i | ||
−0.342020 | + | 0.939693i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.642788 | + | 1.76604i | −0.642788 | + | 1.76604i | 1.00000i | ||||
−0.642788 | + | 0.766044i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | |||||
0 | 0 | |||||||||
0.460802 | + | 1.26604i | 0.460802 | + | 1.26604i | |||||
−0.266044 | − | 1.50881i | −0.266044 | − | 1.50881i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.642788 | − | 0.766044i | ||||||
0.642788 | + | 0.766044i | ||||||||
2.53209i | 2.53209i | |||||||||
0.266044 | + | 1.50881i | 0.266044 | + | 1.50881i | |||||
0 | 0 | |||||||||
1.17365 | − | 0.984808i | 1.17365 | − | 0.984808i | 0.173648 | − | 0.984808i | ||
1.00000 | ||||||||||
0.460802 | − | 1.26604i | 0.460802 | − | 1.26604i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.32683 | + | 0.766044i | −1.32683 | + | 0.766044i | −0.984808 | − | 0.173648i | ||
−0.342020 | + | 0.939693i | ||||||||
−1.50881 | + | 1.79813i | −1.50881 | + | 1.79813i | |||||
−1.43969 | − | 1.20805i | −1.43969 | − | 1.20805i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.342020 | − | 0.939693i | −0.342020 | − | 0.939693i | |||||
0 | 0 | 0.984808 | − | 0.173648i | ||||||
−0.984808 | + | 0.173648i | ||||||||
−0.0923963 | + | 0.524005i | −0.0923963 | + | 0.524005i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0 | 0 | −0.939693 | − | 0.342020i | ||||||
0.939693 | + | 0.342020i | ||||||||
0 | 0 | |||||||||
2.83564 | − | 0.500000i | 2.83564 | − | 0.500000i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.266044 | − | 0.460802i | −0.266044 | − | 0.460802i | |||||
0 | 0 | 0.642788 | − | 0.766044i | ||||||
−0.642788 | + | 0.766044i | ||||||||
1.20805 | − | 1.43969i | 1.20805 | − | 1.43969i | |||||
0 | 0 |