Magma V2.19-8 Tue Aug 20 2013 17:57:02 on localhost [Seed = 3852751349] Type ? for help. Type -D to quit. Loading file "11_387__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_387 geometric_solution 10.99204028 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 10 0 -10 0 -1 0 0 1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673037368547 0.821543317911 0 5 2 6 0132 0132 2103 0132 0 0 0 0 0 -1 1 0 -1 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9 10 -1 -10 0 10 0 -10 0 0 10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.979569043529 0.759405669536 1 0 6 7 2103 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 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 -10 0 9 1 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.979569043529 0.759405669536 8 5 9 0 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -1 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 -10 10 -9 9 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.979569043529 0.759405669536 6 10 0 10 0132 0132 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 -1 -9 0 0 9 0 -9 0 9 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418197423875 1.050784603809 8 1 7 3 1023 0132 3012 2031 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 9 0 -9 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 0.632112421388 0.587491894448 4 9 1 2 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 9 0 0 -9 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673037368547 0.821543317911 9 5 2 11 0213 1230 0132 0132 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 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 0.632112421388 0.587491894448 3 5 10 11 0132 1023 0321 2310 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 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486374123678 0.428278675757 7 11 6 3 0213 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 -10 10 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.979569043529 0.759405669536 4 4 8 11 3201 0132 0321 0321 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 -9 0 9 0 1 -1 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310672819118 0.327219840194 8 10 7 9 3201 0321 0132 3201 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 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 0.486374123678 0.428278675757 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_2']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0101_0']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : negation(d['c_0110_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : negation(d['c_0110_11']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_11, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 6*c_1001_2^4 + 55/3*c_1001_2^3 + 76/3*c_1001_2^2 + 32*c_1001_2 + 71/3, c_0011_0 - 1, c_0011_10 + c_1001_2^2 + c_1001_2 + 1, c_0011_11 + c_1001_2^4 + 2*c_1001_2^3 + 2*c_1001_2^2 + 2*c_1001_2 + 1, c_0011_7 - c_1001_2 - 1, c_0011_9 - 1, c_0101_0 - c_1001_2, c_0101_1 - 1, c_0101_11 + c_1001_2^2 + c_1001_2 + 1, c_0101_5 + c_1001_2^3 + 2*c_1001_2^2 + 3*c_1001_2 + 2, c_0110_11 - c_1001_2^2 - c_1001_2 - 1, c_1001_0 - c_1001_2 - 1, c_1001_2^5 + 2*c_1001_2^4 + 3*c_1001_2^3 + 4*c_1001_2^2 + 2*c_1001_2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_11, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 40977/3256*c_1001_2^5 + 161859/6512*c_1001_2^4 - 11933/13024*c_1001_2^3 - 113755/13024*c_1001_2^2 + 168989/13024*c_1001_2 + 6185/6512, c_0011_0 - 1, c_0011_10 + 19/11*c_1001_2^5 + 97/22*c_1001_2^4 + 129/44*c_1001_2^3 - 5/44*c_1001_2^2 - 5/44*c_1001_2 + 23/22, c_0011_11 - 17/11*c_1001_2^5 - 59/22*c_1001_2^4 + 5/44*c_1001_2^3 + 23/44*c_1001_2^2 - 21/44*c_1001_2 - 9/22, c_0011_7 - 9/11*c_1001_2^5 - 83/22*c_1001_2^4 - 163/44*c_1001_2^3 + 7/44*c_1001_2^2 + 7/44*c_1001_2 - 41/22, c_0011_9 - 1/11*c_1001_2^5 - 19/22*c_1001_2^4 - 67/44*c_1001_2^3 - 53/44*c_1001_2^2 - 9/44*c_1001_2 + 15/22, c_0101_0 + 20/11*c_1001_2^5 + 58/11*c_1001_2^4 + 49/11*c_1001_2^3 + 12/11*c_1001_2^2 + 12/11*c_1001_2 + 15/11, c_0101_1 - 1/11*c_1001_2^5 - 19/22*c_1001_2^4 - 67/44*c_1001_2^3 - 53/44*c_1001_2^2 - 9/44*c_1001_2 + 15/22, c_0101_11 - 24/11*c_1001_2^5 - 52/11*c_1001_2^4 - 6/11*c_1001_2^3 + 34/11*c_1001_2^2 + 1/11*c_1001_2 - 18/11, c_0101_5 + 25/11*c_1001_2^5 + 123/22*c_1001_2^4 + 91/44*c_1001_2^3 - 83/44*c_1001_2^2 + 49/44*c_1001_2 + 65/22, c_0110_11 - 19/11*c_1001_2^5 - 97/22*c_1001_2^4 - 129/44*c_1001_2^3 + 5/44*c_1001_2^2 + 5/44*c_1001_2 - 23/22, c_1001_0 - c_1001_2 - 1, c_1001_2^6 + 7/2*c_1001_2^5 + 15/4*c_1001_2^4 + 3/4*c_1001_2^3 - 1/4*c_1001_2^2 + c_1001_2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_11, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 789/296*c_1001_2^5 + 1011/148*c_1001_2^4 - 949/74*c_1001_2^3 + 2457/148*c_1001_2^2 - 506/37*c_1001_2 + 625/74, c_0011_0 - 1, c_0011_10 + 1/4*c_1001_2^5 - 1/4*c_1001_2^2 - c_1001_2 - 1, c_0011_11 - 1/2*c_1001_2^5 - 1/2*c_1001_2^4 + 1/2*c_1001_2^2 + 1/2*c_1001_2 + 1, c_0011_7 + 1/4*c_1001_2^5 - 1/4*c_1001_2^2, c_0011_9 + 1/2*c_1001_2^4 + c_1001_2^3 + c_1001_2^2 + 3/2*c_1001_2 + 2, c_0101_0 + 1/4*c_1001_2^5 - 1/2*c_1001_2^4 - c_1001_2^3 - 5/4*c_1001_2^2 - 3/2*c_1001_2 - 2, c_0101_1 - 1, c_0101_11 + 1/4*c_1001_2^5 - 1/4*c_1001_2^2 - c_1001_2 - 1, c_0101_5 - 1/4*c_1001_2^5 - 1/2*c_1001_2^4 - c_1001_2^3 - 7/4*c_1001_2^2 - 5/2*c_1001_2 - 2, c_0110_11 - c_1001_2^2 - c_1001_2 - 1, c_1001_0 + 1/2*c_1001_2^5 + 3/2*c_1001_2^4 + 2*c_1001_2^3 + 5/2*c_1001_2^2 + 7/2*c_1001_2 + 2, c_1001_2^6 + c_1001_2^5 + 2*c_1001_2^4 + 3*c_1001_2^3 + 3*c_1001_2^2 + 2*c_1001_2 + 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_11, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1/32*c_1001_2^5 - 1/16*c_1001_2^4 + 1/4*c_1001_2^3 - 3/32*c_1001_2^2 - 1/16*c_1001_2 + 3/8, c_0011_0 - 1, c_0011_10 + c_1001_2^2 + c_1001_2 + 1, c_0011_11 + 1/2*c_1001_2^5 + 1/2*c_1001_2^4 + 1/2*c_1001_2^2 - 1/2*c_1001_2 - 1, c_0011_7 + 1/4*c_1001_2^5 - 1/4*c_1001_2^2, c_0011_9 - 1, c_0101_0 - c_1001_2, c_0101_1 + 1/2*c_1001_2^4 + c_1001_2^3 + c_1001_2^2 + 3/2*c_1001_2 + 2, c_0101_11 + 1/4*c_1001_2^5 - 1/4*c_1001_2^2 - c_1001_2 - 1, c_0101_5 - 1/2*c_1001_2^5 - 1/2*c_1001_2^4 - c_1001_2^3 - 1/2*c_1001_2^2 - 1/2*c_1001_2, c_0110_11 - 1/4*c_1001_2^5 + 1/4*c_1001_2^2 + c_1001_2 + 1, c_1001_0 + 1/4*c_1001_2^5 - 1/4*c_1001_2^2, c_1001_2^6 + c_1001_2^5 + 2*c_1001_2^4 + 3*c_1001_2^3 + 3*c_1001_2^2 + 2*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.620 seconds, Total memory usage: 32.09MB