Magma V2.19-8 Tue Aug 20 2013 23:58:04 on localhost [Seed = 1048073873] Type ? for help. Type -D to quit. Loading file "L14n38621__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38621 geometric_solution 11.32159716 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 -1 0 1 0 0 0 0 0 -1 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889594962944 0.900651524989 0 5 7 6 0132 0132 0132 0132 0 1 0 0 0 0 0 0 0 0 -1 1 -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 -1 0 1 0 0 -3 3 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757543853035 0.722523531944 6 0 8 7 3120 0132 0132 3120 1 1 0 0 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 0 0 0 0 1 0 -1 -2 0 0 2 6 -6 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889594962944 0.900651524989 9 10 11 0 0132 0132 0132 0132 1 1 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879938287277 0.627822950980 6 5 0 9 0132 1302 0132 0132 1 1 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 0 -1 1 -1 0 0 1 6 1 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486592664807 0.788026157465 8 1 11 4 1023 0132 3012 2031 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 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 0.630701026434 0.564112641083 4 10 1 2 0132 2031 0132 3120 0 1 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 -3 2 -1 7 0 -6 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308755446736 0.659289167301 2 10 9 1 3120 1230 2031 0132 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 0 0 0 0 0 0 0 -2 0 -1 3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432715444847 0.918704905599 9 5 11 2 1023 1023 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879938287277 0.627822950980 3 8 4 7 0132 1023 0132 1302 1 1 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 -1 1 0 0 -1 1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604408251442 0.312871402414 6 3 7 11 1302 0132 3012 1230 1 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 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630701026434 0.564112641083 10 5 8 3 3012 1230 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533844229693 0.742885555825 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_4'], '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' : d['1'], 's_0_9' : negation(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' : 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' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0101_7']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0110_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(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' : negation(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' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), '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_0101_3'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], '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_11, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_0101_8, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3866785/41755648*c_0110_5^8 + 13360565/20877824*c_0110_5^7 - 32845751/83511296*c_0110_5^6 - 45233183/41755648*c_0110_5^5 - 489980497/83511296*c_0110_5^4 - 11741999/1897984*c_0110_5^3 - 448098403/83511296*c_0110_5^2 - 41381823/41755648*c_0110_5 + 55356561/83511296, c_0011_0 - 1, c_0011_11 - 1119/968*c_0110_5^8 + 2903/968*c_0110_5^7 + 7897/1936*c_0110_5^6 + 38827/1936*c_0110_5^5 + 21287/968*c_0110_5^4 + 1543/44*c_0110_5^3 + 43303/1936*c_0110_5^2 + 30685/1936*c_0110_5 + 665/968, c_0011_4 + 21/484*c_0110_5^8 + 257/484*c_0110_5^7 - 1767/968*c_0110_5^6 - 2947/968*c_0110_5^5 - 2875/242*c_0110_5^4 - 303/22*c_0110_5^3 - 18365/968*c_0110_5^2 - 11541/968*c_0110_5 - 1583/242, c_0011_7 + c_0110_5, c_0101_0 - 1, c_0101_1 + 45/968*c_0110_5^8 - 147/968*c_0110_5^7 - 807/1936*c_0110_5^6 + 681/1936*c_0110_5^5 + 167/242*c_0110_5^4 + 135/44*c_0110_5^3 + 5715/1936*c_0110_5^2 + 6855/1936*c_0110_5 + 423/242, c_0101_11 + 107/484*c_0110_5^8 - 505/484*c_0110_5^7 + 463/968*c_0110_5^6 - 1845/968*c_0110_5^5 + 324/121*c_0110_5^4 + 7/22*c_0110_5^3 + 4437/968*c_0110_5^2 + 1501/968*c_0110_5 + 117/121, c_0101_2 + 1, c_0101_3 - 189/968*c_0110_5^8 + 107/968*c_0110_5^7 + 3319/1936*c_0110_5^6 + 9583/1936*c_0110_5^5 + 2471/242*c_0110_5^4 + 549/44*c_0110_5^3 + 26861/1936*c_0110_5^2 + 15297/1936*c_0110_5 + 771/242, c_0101_7 + 57/968*c_0110_5^8 + 201/968*c_0110_5^7 - 2571/1936*c_0110_5^6 - 4171/1936*c_0110_5^5 - 1305/242*c_0110_5^4 - 225/44*c_0110_5^3 - 10185/1936*c_0110_5^2 - 2933/1936*c_0110_5 - 45/242, c_0101_8 - 189/968*c_0110_5^8 + 107/968*c_0110_5^7 + 3319/1936*c_0110_5^6 + 9583/1936*c_0110_5^5 + 2471/242*c_0110_5^4 + 549/44*c_0110_5^3 + 26861/1936*c_0110_5^2 + 15297/1936*c_0110_5 + 771/242, c_0110_5^9 - 2*c_0110_5^8 - 9/2*c_0110_5^7 - 21*c_0110_5^6 - 63/2*c_0110_5^5 - 50*c_0110_5^4 - 93/2*c_0110_5^3 - 37*c_0110_5^2 - 33/2*c_0110_5 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB