Magma V2.19-8 Tue Aug 20 2013 23:48:50 on localhost [Seed = 1932859882] Type ? for help. Type -D to quit. Loading file "L12n1074__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1074 geometric_solution 10.58311876 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 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 0 -1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316472415776 0.827358526199 0 4 3 4 0132 0132 1230 1230 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 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 0.593477936920 0.718360227962 0 0 6 5 2031 0132 0132 0132 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 -1 0 1 0 0 0 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 0.596684434856 1.054393858473 7 8 0 1 0132 0132 0132 3012 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 -1 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 0.746574631837 0.613802864439 1 1 9 6 3012 0132 0132 2310 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 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 0.596684434856 1.054393858473 10 10 2 8 0132 1302 0132 3120 0 0 0 1 0 0 0 0 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 -1 0 0 0 0 0 4 -5 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234894282021 0.577287584758 4 7 8 2 3201 1302 3120 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 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 -0.142802906143 0.827358204329 3 9 8 6 0132 0213 2031 2031 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 1.422995737682 0.472200565198 5 3 6 7 3120 0132 3120 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.422995737682 0.472200565198 11 11 7 4 0132 1230 0213 0132 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 0 0 0 0 0 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 0.234894282021 0.577287584758 5 11 11 5 0132 0132 2031 2031 0 0 1 0 0 0 -1 1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -4 5 0 0 1 -1 -2 1 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832860851140 0.628410189462 9 10 9 10 0132 0132 3012 1302 0 0 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 1 0 -1 0 0 0 0 0 -4 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395282329241 1.486183489052 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0011_10']), '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' : d['c_0101_10'], 's_2_0' : 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' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_6']), 's_3_1' : d['1'], 's_3_0' : 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' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0011_3']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_6, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0101_6, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2639466389244/466621*c_1001_2^10 - 460324264812/466621*c_1001_2^9 + 7538356711184/466621*c_1001_2^8 - 13572335025434/466621*c_1001_2^7 - 647445310032/466621*c_1001_2^6 + 18601593967381/466621*c_1001_2^5 - 12356931293072/466621*c_1001_2^4 - 55694307037/11381*c_1001_2^3 + 7352897165325/466621*c_1001_2^2 - 3827454407357/466621*c_1001_2 + 799260438680/466621, c_0011_0 - 1, c_0011_10 - 6204/599*c_1001_2^10 + 692/599*c_1001_2^9 - 15612/599*c_1001_2^8 + 32474/599*c_1001_2^7 + 9920/599*c_1001_2^6 - 48439/599*c_1001_2^5 + 17368/599*c_1001_2^4 + 15840/599*c_1001_2^3 - 14370/599*c_1001_2^2 + 4078/599*c_1001_2 + 143/599, c_0011_3 - 10016/599*c_1001_2^10 + 4196/599*c_1001_2^9 - 26164/599*c_1001_2^8 + 60136/599*c_1001_2^7 - 878/599*c_1001_2^6 - 79220/599*c_1001_2^5 + 56731/599*c_1001_2^4 + 11834/599*c_1001_2^3 - 32597/599*c_1001_2^2 + 16092/599*c_1001_2 - 2488/599, c_0011_6 - 14544/599*c_1001_2^10 + 10284/599*c_1001_2^9 - 39060/599*c_1001_2^8 + 97396/599*c_1001_2^7 - 25566/599*c_1001_2^6 - 120924/599*c_1001_2^5 + 115739/599*c_1001_2^4 + 2672/599*c_1001_2^3 - 56570/599*c_1001_2^2 + 33812/599*c_1001_2 - 6891/599, c_0101_1 - 1, c_0101_10 - 10080/599*c_1001_2^10 + 8456/599*c_1001_2^9 - 26668/599*c_1001_2^8 + 71796/599*c_1001_2^7 - 22084/599*c_1001_2^6 - 85410/599*c_1001_2^5 + 88186/599*c_1001_2^4 - 3207/599*c_1001_2^3 - 42196/599*c_1001_2^2 + 27461/599*c_1001_2 - 6140/599, c_0101_11 + 6776/599*c_1001_2^10 - 7468/599*c_1001_2^9 + 18020/599*c_1001_2^8 - 52376/599*c_1001_2^7 + 24842/599*c_1001_2^6 + 62506/599*c_1001_2^5 - 71813/599*c_1001_2^4 + 3244/599*c_1001_2^3 + 32212/599*c_1001_2^2 - 20593/599*c_1001_2 + 4793/599, c_0101_2 - 6776/599*c_1001_2^10 + 7468/599*c_1001_2^9 - 18020/599*c_1001_2^8 + 52376/599*c_1001_2^7 - 24842/599*c_1001_2^6 - 62506/599*c_1001_2^5 + 71813/599*c_1001_2^4 - 3244/599*c_1001_2^3 - 32212/599*c_1001_2^2 + 19994/599*c_1001_2 - 4793/599, c_0101_5 + 6776/599*c_1001_2^10 - 7468/599*c_1001_2^9 + 18020/599*c_1001_2^8 - 52376/599*c_1001_2^7 + 24842/599*c_1001_2^6 + 62506/599*c_1001_2^5 - 71813/599*c_1001_2^4 + 3244/599*c_1001_2^3 + 32212/599*c_1001_2^2 - 20593/599*c_1001_2 + 4793/599, c_0101_6 - c_1001_2, c_0101_8 + 14544/599*c_1001_2^10 - 10284/599*c_1001_2^9 + 39060/599*c_1001_2^8 - 97396/599*c_1001_2^7 + 25566/599*c_1001_2^6 + 120924/599*c_1001_2^5 - 115739/599*c_1001_2^4 - 2672/599*c_1001_2^3 + 56570/599*c_1001_2^2 - 33812/599*c_1001_2 + 6891/599, c_1001_2^11 - c_1001_2^10 + 3*c_1001_2^9 - 15/2*c_1001_2^8 + 4*c_1001_2^7 + 29/4*c_1001_2^6 - 21/2*c_1001_2^5 + 3*c_1001_2^4 + 7/2*c_1001_2^3 - 15/4*c_1001_2^2 + 3/2*c_1001_2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB