Program hecketest.  Using METHOD = 2 to find newforms
MODULUS for linear algebra = 1073741789
See the hecke matrices (0/1)? Plus space (0/1)? Enter level: >>>Level 90	Dimension = 22
denominator = 1
Computing conjmat...   done.
Computing +1 eigenspace...   done, dimension = 22
Computing -1 eigenspace...   done, dimension = 0
Compute W-eigenspaces? Computing W(2)...  done, sparsity = 0.0785124. 
Computed matrix  = 
[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0],
[0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1],
[0,0,0,0,0,0,1,-1,0,-1,1,0,0,0,0,0,0,0,0,1,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0],
[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0]]

Using sparse matrix code...
Dimension of 1-eigenspace=11
Using sparse matrix code...
Dimension of -1-eigenspace=11

Computing W(3)...  done, sparsity = 0.179752. 
Computed matrix  = 
[[0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,0,1,-1,1,0,0,0,0],
[0,0,-1,1,-1,0,0,0,0,0,0,0,1,0,0,0,-1,1,0,0,0,0],
[0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,1,-1,0,0,0,-1,1,0,0,0,0,1,0,1,0,-1],
[0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,1,0,0,-1,0,0,0,0,1,-1,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,1,0,-1,1,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,1,0,0,1,-1,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,1,0,0,0,-1,1,0,0,1,0,0,0,0],
[1,-1,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,1,0,0,0,0],
[0,-1,1,1,0,0,0,-1,0,1,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]]

Using sparse matrix code...
Dimension of 1-eigenspace=12
Using sparse matrix code...
Dimension of -1-eigenspace=10

Computing W(5)...  done, sparsity = 0.181818. 
Computed matrix  = 
[[0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,-1,1,0,0,0,-1,1,0,0,0,1,0,0],
[0,0,-1,1,-1,0,-1,1,0,0,0,0,0,0,0,1,-1,0,0,0,0,1],
[0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,1,-1,0,0,0,1,-1,0,0,-1,1,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,1],
[0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1],
[0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,1],
[1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,1,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,1],
[0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1],
[0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,1,-1,-1,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,1,-1,0,0,-1,1,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0],
[0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,0,1,-1,1,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0]]

Using sparse matrix code...
Dimension of 1-eigenspace=10
Using sparse matrix code...
Dimension of -1-eigenspace=12

How many T_p? 
Computing T_p for p = 7...Computed matrix  = 
[[8,-4,-2,0,0,0,2,0,0,-2,2,0,0,4,-2,0,0,0,0,2,0,-2],
[0,1,0,1,1,1,-1,2,0,2,-1,0,0,1,1,0,0,0,0,0,0,0],
[0,0,-2,0,0,-1,1,0,0,-2,0,1,0,1,0,0,0,0,0,1,0,-1],
[0,0,2,4,-1,0,2,0,0,2,-1,0,0,0,1,0,1,0,0,-1,0,1],
[0,2,1,-1,2,1,-1,1,0,4,-2,1,0,-1,2,0,0,0,0,-2,0,2],
[0,1,0,1,1,1,-1,2,0,2,-1,0,0,1,1,0,0,0,0,0,0,0],
[0,0,2,3,1,0,2,0,0,0,0,1,0,-1,0,0,2,0,0,-1,0,1],
[0,3,0,-2,3,1,-1,0,0,2,-2,3,0,-2,2,0,1,0,0,-2,0,2],
[0,1,1,0,2,1,-1,-1,8,-2,0,0,0,-1,0,0,1,0,0,0,0,0],
[0,1,1,0,3,2,-2,1,0,0,1,1,0,0,-1,0,2,0,0,0,0,0],
[0,1,1,0,2,2,0,-1,0,-2,6,-1,0,-2,2,0,1,0,0,1,0,-1],
[0,0,2,1,2,2,-2,2,0,2,1,-1,0,1,-1,0,1,0,0,0,0,0],
[0,0,2,1,4,1,-1,0,0,0,1,-2,8,-4,-1,0,1,0,0,1,0,-1],
[0,1,3,0,3,3,-3,1,0,2,1,0,0,-1,-1,0,2,0,0,-1,0,1],
[0,1,2,1,2,3,-1,0,0,-2,6,-2,0,-3,2,0,1,0,0,1,0,-1],
[0,0,1,3,0,3,-1,1,0,0,4,-3,0,-1,-4,8,-2,0,0,0,0,0],
[0,-1,4,4,0,1,1,0,0,2,1,-1,0,0,-1,0,2,0,0,-1,0,1],
[0,1,-2,0,-1,0,0,-4,0,4,-2,2,0,-1,2,0,-1,8,0,-1,0,1],
[0,1,0,0,-2,1,-1,0,0,2,-1,1,0,-2,1,0,0,0,8,-1,0,1],
[0,2,-2,-2,0,1,-3,2,0,0,0,-1,0,1,0,0,0,0,0,3,0,5],
[0,0,0,0,0,-4,2,2,0,2,0,-2,0,2,0,0,-2,0,0,0,8,0],
[0,0,-1,1,-1,-1,1,1,0,-2,1,-1,0,1,-1,0,1,0,0,3,0,5]]

done, sparsity = 0.514463. 

Computing T_p for p = 11...Computed matrix  = 
[[12,-6,0,-4,4,0,4,-2,0,-2,4,0,0,4,-4,0,2,0,0,2,0,-2],
[0,1,4,-3,7,1,-1,0,0,4,-1,0,0,-1,1,0,4,0,0,0,0,0],
[0,1,-1,-1,1,0,0,-1,0,2,0,-2,0,-1,0,0,1,0,0,0,0,0],
[0,-2,5,4,2,-1,5,-1,0,0,1,2,0,0,-1,0,3,0,0,0,0,0],
[0,3,1,0,3,0,0,3,0,2,-3,3,0,-2,3,0,0,0,0,0,0,0],
[0,1,0,1,3,1,-5,4,0,4,-1,4,0,-1,1,0,0,0,0,-4,0,4],
[0,0,2,7,0,-1,1,2,0,2,-3,2,0,-2,3,0,1,0,0,-3,0,3],
[0,3,-1,0,3,3,-3,3,0,4,-3,0,0,-1,3,0,0,0,0,-3,0,3],
[0,1,1,2,1,2,-2,-1,12,-2,-1,-1,0,0,1,0,0,0,0,0,0,0],
[0,0,3,3,2,3,-3,1,0,2,0,1,0,3,0,0,0,0,0,0,0,0],
[0,1,1,4,-1,5,-1,-1,0,-2,7,-4,0,-1,5,0,0,0,0,3,0,-3],
[0,0,1,3,2,4,-4,1,0,4,0,0,0,2,0,0,0,0,0,-1,0,1],
[0,1,0,2,3,2,-2,0,0,2,0,-4,12,-5,0,0,1,0,0,1,0,-1],
[0,3,0,0,1,3,-3,2,0,4,0,-1,0,0,0,0,3,0,0,0,0,0],
[0,4,-2,0,0,3,1,0,0,-2,8,-3,0,-3,4,0,0,0,0,1,0,-1],
[0,3,-3,4,-3,4,0,1,0,0,5,-5,0,0,-5,12,-4,0,0,0,0,0],
[0,1,2,6,-3,2,2,0,0,0,2,-2,0,3,-2,0,3,0,0,-1,0,1],
[0,2,-4,1,-2,1,-1,-4,0,6,-3,0,0,-2,3,0,-1,12,0,-1,0,1],
[0,2,-1,1,-4,1,-1,1,0,2,-2,1,0,-3,2,0,0,0,12,0,0,0],
[0,1,-1,-3,3,0,-4,1,0,0,2,0,0,3,-2,0,-1,0,0,4,0,8],
[0,0,0,-2,2,-6,2,2,0,2,2,0,0,2,-2,0,-2,0,0,-2,12,2],
[0,1,-2,2,-3,-1,1,2,0,-2,0,-1,0,0,0,0,1,0,0,4,0,8]]

done, sparsity = 0.528926. 

Computing T_p for p = 13...Computed matrix  = 
[[14,-8,0,-2,2,2,2,-2,0,-2,6,0,0,6,-6,0,2,0,0,2,0,-2],
[0,1,2,-1,5,3,-3,2,0,4,-1,2,0,-1,1,0,2,0,0,-2,0,2],
[0,0,0,0,0,1,-1,0,0,2,0,-1,0,-1,0,0,0,0,0,-1,0,1],
[0,-1,4,5,1,0,4,0,0,0,1,1,0,0,-1,0,4,0,0,-1,0,1],
[0,2,1,1,2,3,-3,3,0,2,0,1,0,1,0,0,2,0,0,0,0,0],
[0,3,2,-1,5,1,-3,2,0,4,-1,2,0,-1,1,0,2,0,0,-2,0,2],
[0,-1,4,8,-1,0,2,0,0,2,0,0,0,1,0,0,3,0,0,-1,0,1],
[0,1,2,2,3,3,-3,2,0,4,0,-1,0,2,0,0,1,0,0,0,0,0],
[0,2,1,1,2,1,-1,-1,14,-2,-2,-1,0,-1,2,0,0,0,0,0,0,0],
[0,3,1,0,3,2,-2,3,0,4,-3,1,0,0,3,0,0,0,0,-2,0,2],
[0,3,0,2,1,3,1,0,0,-2,6,-3,0,-4,8,0,-1,0,0,2,0,-2],
[0,4,0,-1,4,2,-2,2,0,4,-3,1,0,-1,3,0,1,0,0,-2,0,2],
[0,2,0,1,6,-1,1,0,0,2,-3,-2,14,-8,3,0,-1,0,0,1,0,-1],
[0,3,-1,0,3,1,-1,3,0,4,-3,2,0,-1,3,0,0,0,0,-1,0,1],
[0,3,-1,1,1,2,2,-1,0,-2,8,-2,0,-3,6,0,-1,0,0,2,0,-2],
[0,2,-3,5,-2,3,1,1,0,0,4,-3,0,-1,-4,14,-6,0,0,0,0,0],
[0,0,2,7,0,-1,5,0,0,0,-1,2,0,0,1,0,1,0,0,-1,0,1],
[0,-1,-2,4,-3,2,-2,-6,0,6,0,0,0,1,0,0,-1,14,0,1,0,-1],
[0,1,-1,2,-5,2,-2,1,0,2,-1,1,0,-2,1,0,0,0,14,0,0,0],
[0,4,-4,-6,2,1,-5,4,0,0,0,-1,0,1,0,0,0,0,0,3,0,11],
[0,2,0,-4,4,-8,4,2,0,2,0,0,0,0,0,0,-2,0,0,-2,14,2],
[0,1,-1,2,-3,-1,1,1,0,-2,1,-2,0,1,-1,0,2,0,0,5,0,9]]

done, sparsity = 0.566116. 

Computing T_p for p = 17...Computed matrix  = 
[[18,-10,-2,2,-2,2,2,0,0,-2,6,-2,0,10,-6,0,0,0,0,4,0,-4],
[0,3,-1,3,1,3,-3,5,0,4,-2,1,0,2,2,0,-1,0,0,-1,0,1],
[0,-2,2,2,-2,0,0,2,0,2,0,-2,0,2,0,0,-2,0,0,0,0,0],
[0,0,3,10,-1,1,3,1,0,0,0,0,0,0,0,0,4,0,0,-1,0,1],
[0,2,2,0,6,5,-5,2,0,2,2,1,0,1,-2,0,4,0,0,-1,0,1],
[0,3,1,1,3,3,-1,3,0,4,-2,-1,0,2,2,0,1,0,0,1,0,-1],
[0,-1,6,7,0,1,5,-2,0,2,2,0,0,1,-2,0,5,0,0,-1,0,1],
[0,2,6,0,6,5,-5,2,0,4,2,1,0,-1,-2,0,4,0,0,-1,0,1],
[0,3,2,-1,4,1,-1,-2,18,-2,-2,0,0,-3,2,0,1,0,0,-1,0,1],
[0,5,1,-3,5,2,-2,3,0,8,-4,2,0,-3,4,0,1,0,0,-4,0,4],
[0,4,1,-2,5,2,2,-1,0,-2,10,-1,0,-7,8,0,0,0,0,0,0,0],
[0,5,-1,-3,5,0,0,3,0,4,-4,4,0,-1,4,0,1,0,0,-2,0,2],
[0,3,1,-1,9,-2,2,-1,0,2,-4,0,18,-11,4,0,-1,0,0,0,0,0],
[0,5,1,-3,7,2,-2,1,0,4,-4,6,0,-3,4,0,1,0,0,-4,0,4],
[0,4,1,0,3,3,1,-3,0,-2,8,0,0,-6,10,0,0,0,0,1,0,-1],
[0,2,-2,4,0,3,1,0,0,0,4,-1,0,-3,-4,18,-6,0,0,-1,0,1],
[0,0,3,6,3,-2,6,-1,0,0,-2,5,0,-3,2,0,4,0,0,-2,0,2],
[0,-2,0,4,-2,3,-3,-8,0,6,2,1,0,1,-2,0,0,18,0,1,0,-1],
[0,1,0,1,-4,3,-3,0,0,2,0,2,0,-3,0,0,1,0,18,-1,0,1],
[0,6,-6,-6,0,2,-6,6,0,0,-2,-2,0,0,2,0,0,0,0,6,0,12],
[0,2,-2,-2,2,-10,6,4,0,2,-2,-2,0,2,2,0,-4,0,0,0,18,0],
[0,0,-1,2,-3,-2,2,1,0,-2,2,-3,0,3,-2,0,2,0,0,6,0,12]]

done, sparsity = 0.597107. 

Computing T_p for p = 19...Computed matrix  = 
[[20,-10,-2,-2,2,0,4,-2,0,-4,8,0,0,10,-8,0,2,0,0,4,0,-4],
[0,5,1,-1,5,1,-1,3,0,4,0,1,0,2,0,0,1,0,0,-1,0,1],
[0,0,0,0,0,-2,2,0,0,-4,0,2,0,2,0,0,0,0,0,2,0,-2],
[0,-1,5,9,1,-1,5,-1,0,4,0,1,0,0,0,0,3,0,0,-3,0,3],
[0,3,3,1,5,4,-4,1,0,8,-2,0,0,1,2,0,1,0,0,-2,0,2],
[0,1,1,-1,5,5,-1,3,0,4,0,1,0,2,0,0,1,0,0,-1,0,1],
[0,-1,5,9,-1,2,6,-1,0,0,2,0,0,1,-2,0,5,0,0,0,0,0],
[0,5,1,-1,3,4,-4,3,0,4,-2,4,0,-1,2,0,3,0,0,-2,0,2],
[0,3,1,1,3,2,-2,-1,20,-4,-2,0,0,-3,2,0,1,0,0,0,0,0],
[0,4,0,0,6,3,-3,4,0,4,-2,3,0,-3,2,0,2,0,0,-1,0,1],
[0,5,-1,3,1,4,0,1,0,-4,10,-2,0,-7,10,0,-1,0,0,2,0,-2],
[0,2,2,2,4,3,-3,6,0,4,-2,3,0,-1,2,0,0,0,0,-1,0,1],
[0,2,2,2,8,1,-1,2,0,0,-2,-3,20,-11,2,0,0,0,0,1,0,-1],
[0,4,4,0,6,5,-5,4,0,4,-2,1,0,-1,2,0,2,0,0,-3,0,3],
[0,2,4,2,4,6,-2,0,0,-4,12,-4,0,-6,8,0,2,0,0,2,0,-2],
[0,1,1,7,-1,6,-2,3,0,0,6,-6,0,-3,-6,20,-5,0,0,0,0,0],
[0,0,6,8,0,1,3,2,0,4,-2,-1,0,-3,2,0,6,0,0,-3,0,3],
[0,1,-3,3,-5,2,-2,-9,0,8,-2,2,0,1,2,0,-1,20,0,0,0,0],
[0,2,0,2,-6,3,-3,0,0,4,-2,1,0,-3,2,0,0,0,20,-1,0,1],
[0,4,-4,-8,4,0,-4,4,0,0,0,0,0,0,0,0,0,0,0,8,0,12],
[0,0,0,-4,4,-10,6,4,0,4,0,-2,0,2,0,0,-4,0,0,-2,20,2],
[0,0,-2,4,-4,-1,1,2,0,-4,2,-3,0,3,-2,0,2,0,0,7,0,13]]

done, sparsity = 0.582645. 
Enter level: