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log_sd_bent_complex_v34.log
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log_sd_bent_complex_v34.log
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/*
* Complex Hadamard matrix with v = 34:
* - number of matrices: N = 1
*/
Number of matrices: 1
========================= For 1 -th Matrix =========================
All eigenvalues: [
<-3*i + 5, 1>,
<3*i + 5, 1>
]
**** For eigenvalue ev = -3*i + 5 ****
Eigenspace attached to this ev:
Vector space of degree 34, dimension 1 over R
Echelonized basis:
(1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1)
Number of solutions: #S = 4
Solutions: #S = [
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1],
[i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i],
[-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1],
[-i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i
-i -i -i -i -i -i -i -i -i]
]
Time elapsed for ev = -3*i + 5 : 0.0000
**** For eigenvalue ev = 3*i + 5 ****
Eigenspace attached to this ev:
Vector space of degree 34, dimension 1 over R
Echelonized basis:
(1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1)
Number of solutions: #S = 4
Solutions: #S = [
[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1],
[i i i i i i i i i i i i i i i i i -i -i -i -i -i -i -i -i -i -i -i -i -i -i
-i -i -i],
[-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1],
[-i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i -i i i i i i i i i i i i i
i i i i i]
]
Time elapsed for ev = 3*i + 5 : 0.0100
Time elapsed for i = 1 : 0.0200
Time elapsed in total: 0.020