Magma V2.19-8 Tue Aug 20 2013 23:54:00 on localhost [Seed = 2067599591] Type ? for help. Type -D to quit. Loading file "L13n7867__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7867 geometric_solution 11.23977460 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 0321 0132 0 2 2 1 0 0 -1 1 0 0 0 0 -1 1 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 -1 0 1 0 -2 2 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382785735530 1.074143736100 0 4 6 5 0132 0132 0132 0132 1 2 1 2 0 0 0 0 0 0 0 0 -1 1 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 1 0 -1 0 -4 4 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125524290119 0.732668744689 7 0 0 5 0132 0132 0321 2031 0 1 1 2 0 0 1 -1 0 0 0 0 -1 1 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 -1 0 1 0 -3 3 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382785735530 1.074143736100 7 5 0 5 3012 2031 0132 2103 0 2 1 2 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 -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 0.402162570015 0.699887268235 7 1 8 9 1023 0132 0132 0132 1 2 2 1 0 0 0 0 0 0 0 0 -1 0 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 0 0 -3 0 0 3 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723642174436 1.188874669050 3 2 1 3 1302 1302 0132 2103 1 2 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382785735530 1.074143736100 9 10 7 1 0132 0132 1023 0132 1 2 2 1 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 0 1 -3 1 0 2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723642174436 1.188874669050 2 4 6 3 0132 1023 1023 1230 2 1 2 1 0 0 0 0 0 0 0 0 -1 1 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 1 0 -1 0 -3 3 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125524290119 0.732668744689 9 11 10 4 3120 0132 1302 0132 1 2 1 1 0 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 1 0 -1 0 0 4 0 -4 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261057364976 0.415286274295 6 10 4 8 0132 0213 0132 3120 1 2 1 2 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 1 0 -1 1 0 0 -1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.027551205463 0.696914795170 8 6 9 11 2031 0132 0213 0132 1 1 1 2 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 1 -1 0 0 0 0 0 -3 3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261057364976 0.415286274295 11 8 10 11 3201 0132 0132 2310 1 1 1 1 0 0 0 0 1 0 0 -1 0 1 0 -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 4 0 0 -4 0 4 0 -4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411239122637 1.652135254216 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0110_3'], 'c_1100_6' : negation(d['c_0110_3']), 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_11']), 'c_0110_10' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_5, c_0101_1, c_0101_11, c_0101_4, c_0101_7, c_0110_3, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 111951/250*c_1001_1^3 + 67134/125*c_1001_1^2 - 13653/25*c_1001_1 + 67337/250, c_0011_0 - 1, c_0011_10 - 3*c_1001_1^2 - 1, c_0011_11 - 6*c_1001_1^3 + 7*c_1001_1^2 - 3*c_1001_1 + 2, c_0011_3 - 6*c_1001_1^3 + 4*c_1001_1^2 - 4*c_1001_1 + 2, c_0011_5 - 1, c_0101_1 - 1, c_0101_11 + 6*c_1001_1^3 - 11*c_1001_1^2 + 4*c_1001_1 - 4, c_0101_4 + c_1001_1, c_0101_7 - 4*c_1001_1^2 - 1, c_0110_3 + 1, c_0110_5 - 18/5*c_1001_1^3 + 24/5*c_1001_1^2 - 4*c_1001_1 + 11/5, c_1001_1^4 - 2/3*c_1001_1^3 + 4/3*c_1001_1^2 - 1/3*c_1001_1 + 1/3 ], 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_3, c_0011_5, c_0101_1, c_0101_11, c_0101_4, c_0101_7, c_0110_3, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 17236037/155200*c_1001_1^4 + 36571923/155200*c_1001_1^3 - 33621117/155200*c_1001_1^2 + 33434487/155200*c_1001_1 - 15671209/155200, c_0011_0 - 1, c_0011_10 - 119/97*c_1001_1^4 + 145/97*c_1001_1^3 - 58/97*c_1001_1^2 + 73/97*c_1001_1 - 8/97, c_0011_11 + 14/97*c_1001_1^4 - 57/97*c_1001_1^3 + 178/97*c_1001_1^2 - 117/97*c_1001_1 + 58/97, c_0011_3 + 147/97*c_1001_1^4 - 259/97*c_1001_1^3 + 317/97*c_1001_1^2 - 307/97*c_1001_1 + 221/97, c_0011_5 - 1, c_0101_1 - 1, c_0101_11 - 28/97*c_1001_1^4 + 114/97*c_1001_1^3 - 162/97*c_1001_1^2 + 137/97*c_1001_1 - 19/97, c_0101_4 + c_1001_1, c_0101_7 - 119/97*c_1001_1^4 + 145/97*c_1001_1^3 - 155/97*c_1001_1^2 + 73/97*c_1001_1 - 8/97, c_0110_3 + 1, c_0110_5 + 525/194*c_1001_1^4 - 1119/194*c_1001_1^3 + 1049/194*c_1001_1^2 - 1235/194*c_1001_1 + 623/194, c_1001_1^5 - 18/7*c_1001_1^4 + 22/7*c_1001_1^3 - 22/7*c_1001_1^2 + 2*c_1001_1 - 5/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB