Created
March 14, 2016 18:49
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| def api(N, U): | |
| M = matrix(ZZ, 2,2, [1, -floor(pi*2^N)*2^N, 0, 2^(2*N)]) | |
| M = U*M | |
| M = U.augment(M) | |
| UM = M.LLL() | |
| return UM.submatrix(0,0,2,2) | |
| U = identity_matrix(2) | |
| for i in range(1,100): | |
| U = api(3*i, U) | |
| approx = U[0][1]/U[0][0] | |
| print approx |
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