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[尹洪波 <yin...@12...>]

Hello everyone, 


I have a server with 48 cpus in my office. Now I want to compute the following sage code with all of the cpus. Can you tell me How can
I realize it please?


Thank you very much!


%time
import itertools
def is_matrix_integral(M):
    for i,j in itertools.product(range(2),range(2)):
        if M[i][j] not in ZZ:
            return False
    return True
    
def Gamma(M):
    if is_matrix_integral(M) and M[1][0]%243==0 and M.det()==1:
        return True
    return False




p=13
T=Matrix([[2,-1],[9,-4]])*Matrix([[4,0],[0,9]])
W=Matrix([[0,1],[-243,0]])
S=Matrix([[1,1/3],[0,1]])
A=Matrix([[1,0],[81,1]])
B=-1/(243)*W*A^(-1)*W*A
C=Matrix([[1,1/9],[-27,-2]])
e=Matrix([[1,0],[0,-1]])




def Q(a,c):
    return T*Matrix([[a,a+c],[c,-a]])*T^(-1)*e   


I=[-100000..-1]+[1..100000]
for i,j in itertools.product([1..100000],I):
    if sqrt(i*i+i*j+j*j) in QQ:
        for k in [0,1,2]:
            L=Q(i,j)*W*Q(i,j)^(-1)*W^(-1)*B^k
            if Gamma(L):
                print x,Q(i,j),Q(i,j).det(),i,j
                for l in [0,1,2]:
                    M=Q(i,j)*B*Q(i,j)^(-1)*B^l
                    if Gamma(M):
                        print x,x,M,M.det(),i,j,k,l
                        break




Best,
Hongbo Yin
Morningside Mathematics center
China

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