Magma V2.19-8 Wed Aug 21 2013 01:02:03 on localhost [Seed = 829893271] Type ? for help. Type -D to quit. Loading file "L14n1384__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1384 geometric_solution 11.47162836 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 1 2 0132 1302 3012 0132 1 1 1 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 1 -1 0 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859322359441 0.550510903660 0 0 3 0 0132 1230 0132 2031 1 1 0 1 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 1 0 0 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435733533970 1.705147033941 4 5 0 5 0132 0132 0132 2310 1 1 1 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 -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 0.816037931615 0.256010567645 4 6 5 1 3120 0132 2031 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957711312530 0.511521441802 2 6 7 3 0132 1230 0132 3120 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200433359020 0.353503255988 2 2 8 3 3201 0132 0132 1302 1 1 1 1 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 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 0.622702966954 1.180810846901 9 3 4 10 0132 0132 3012 0132 1 1 1 1 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 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 0.231924311121 0.966728738640 11 12 8 4 0132 0132 1023 0132 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 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 0.447717733429 1.328428458560 11 10 7 5 2310 0132 1023 0132 1 1 1 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 0.108963936796 0.666071963793 6 12 10 11 0132 0321 3201 3201 1 1 1 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 0 0 0 0 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 1.272019649514 0.786151377757 9 8 6 12 2310 0132 0132 3012 1 1 1 1 0 0 0 0 0 0 -1 1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439237418560 0.867743246431 7 9 8 12 0132 2310 3201 2310 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 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 0.644785309232 0.452615352933 11 7 10 9 3201 0132 1230 0321 1 1 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 0 0 0 0 0 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 0.857650661089 0.797300073437 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_1001_12']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : negation(d['c_0011_2']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_1001_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0110_5']), 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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_3'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_8, c_0110_5, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1097940047986535780233/5124753835950080*c_1001_2^3 + 27175684821870771716349/87120815211151360*c_1001_2^2 + 13353571309719333033727/87120815211151360*c_1001_2 + 2206892004963671057899/87120815211151360, c_0011_0 - 1, c_0011_10 + 11543/4*c_1001_2^3 + 17089/4*c_1001_2^2 + 8501/4*c_1001_2 + 1419/4, c_0011_2 + c_1001_2 + 1, c_0011_3 - 8*c_1001_2 - 4, c_0101_1 - 1, c_0101_10 - 1649/8*c_1001_2^3 - 1499/8*c_1001_2^2 - 259/8*c_1001_2 + 39/8, c_0101_11 + c_1001_2 - 1, c_0101_12 - 8245/4*c_1001_2^3 - 6221/2*c_1001_2^2 - 6297/4*c_1001_2 - 267, c_0101_3 - 1649/64*c_1001_2^3 - 1499/64*c_1001_2^2 - 259/64*c_1001_2 - 25/64, c_0101_8 + 4947/4*c_1001_2^3 + 7795/4*c_1001_2^2 + 4093/4*c_1001_2 + 717/4, c_0110_5 - 3*c_1001_2 - 1, c_1001_12 - 11*c_1001_2 - 5, c_1001_2^4 + 3148/1649*c_1001_2^3 + 2270/1649*c_1001_2^2 + 732/1649*c_1001_2 + 89/1649 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.010 Total time: 2.220 seconds, Total memory usage: 32.09MB