Magma V2.19-8 Tue Aug 20 2013 23:57:12 on localhost [Seed = 2177362279] Type ? for help. Type -D to quit. Loading file "L14n30729__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n30729 geometric_solution 10.79050987 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1023 1 1 1 1 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 -1 0 0 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363379982703 1.235202968067 0 4 5 2 0132 0132 0132 2310 1 1 1 1 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 1 0 -1 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 0.281476008276 0.476816169926 1 0 6 0 3201 0132 0132 1023 1 1 1 1 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 0 -1 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 0.363379982703 1.235202968067 6 7 8 0 0213 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425851916957 0.660952501702 9 1 10 7 0132 0132 0132 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955250880893 0.694457211523 10 7 9 1 2103 3012 2310 0132 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 -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 1.905347537438 0.858931302965 3 10 11 2 0213 2103 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425851916957 0.660952501702 5 3 4 11 1230 0132 1230 0321 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148065627661 1.377655019026 9 10 11 3 2103 2031 1023 0132 1 1 0 1 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 0 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584526252795 1.017247475909 4 5 8 11 0132 3201 2103 2310 0 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 -1 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 0.663850560398 0.441269392441 8 6 5 4 1302 2103 2103 0132 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772902889219 0.613541582000 9 7 8 6 3201 0321 1023 0132 1 1 0 1 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 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 0.653080934574 0.514959834421 ==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_11']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0110_2']), 's_3_11' : d['1'], 's_3_10' : negation(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_0011_8']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : 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' : negation(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' : negation(d['1']), 's_0_5' : negation(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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1100_0']), 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0110_2'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_1100_0'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : negation(d['c_0101_11']), 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : negation(d['c_0101_0'])})} 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 17735/77*c_1100_0^2 - 13976/77*c_1100_0 - 17404/77, c_0011_0 - 1, c_0011_10 + 20/11*c_1100_0^2 + 7/11*c_1100_0 + 6/11, c_0011_11 + 1, c_0011_3 - 1, c_0011_8 - 20/11*c_1100_0^2 - 7/11*c_1100_0 - 17/11, c_0101_0 - 15/11*c_1100_0^2 + 3/11*c_1100_0 - 10/11, c_0101_1 + 10/11*c_1100_0^2 + 9/11*c_1100_0 + 3/11, c_0101_11 + 10/11*c_1100_0^2 + 9/11*c_1100_0 + 3/11, c_0101_7 - 5/11*c_1100_0^2 - 10/11*c_1100_0 - 7/11, c_0101_8 + 5/11*c_1100_0^2 + 10/11*c_1100_0 - 4/11, c_0110_2 - 10/11*c_1100_0^2 - 9/11*c_1100_0 - 3/11, c_1100_0^3 + 3/5*c_1100_0^2 + 4/5*c_1100_0 - 1/5 ], 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 612835019/2860352*c_0110_2*c_1100_0^3 - 744139719/31463872*c_0110_2*c_1100_0^2 + 1005820133/15731936*c_0110_2*c_1100_0 + 588277221/7865968*c_0110_2 + 178243251/2860352*c_1100_0^3 + 861411961/31463872*c_1100_0^2 - 173141355/15731936*c_1100_0 + 363156725/7865968, c_0011_0 - 1, c_0011_10 - 11/136*c_0110_2*c_1100_0^3 + 333/136*c_0110_2*c_1100_0^2 + 73/68*c_0110_2*c_1100_0 + 23/34*c_0110_2 - 341/136*c_1100_0^3 - 149/136*c_1100_0^2 - 49/68*c_1100_0 - 1/34, c_0011_11 + 341/68*c_0110_2*c_1100_0^3 + 149/68*c_0110_2*c_1100_0^2 + 49/34*c_0110_2*c_1100_0 + 18/17*c_0110_2 + 99/68*c_1100_0^3 - 5/68*c_1100_0^2 + 57/34*c_1100_0 + 14/17, c_0011_3 - 1, c_0011_8 - 209/136*c_0110_2*c_1100_0^3 + 343/136*c_0110_2*c_1100_0^2 - 41/68*c_0110_2*c_1100_0 - 73/34*c_0110_2 - 693/136*c_1100_0^3 + 35/136*c_1100_0^2 - 25/68*c_1100_0 - 47/34, c_0101_0 - 11/34*c_1100_0^3 - 41/34*c_1100_0^2 + 5/17*c_1100_0 - 5/17, c_0101_1 - c_0110_2 - 11/34*c_1100_0^3 - 41/34*c_1100_0^2 + 5/17*c_1100_0 - 5/17, c_0101_11 + 121/68*c_1100_0^3 + 77/68*c_1100_0^2 + 13/34*c_1100_0 + 2/17, c_0101_7 - 55/17*c_1100_0^3 - 18/17*c_1100_0^2 - 1/17*c_1100_0 - 16/17, c_0101_8 - 44/17*c_0110_2*c_1100_0^3 + 23/17*c_0110_2*c_1100_0^2 + 6/17*c_0110_2*c_1100_0 - 23/17*c_0110_2 - 55/17*c_1100_0^3 - 18/17*c_1100_0^2 - 18/17*c_1100_0 - 16/17, c_0110_2^2 + 11/34*c_0110_2*c_1100_0^3 + 41/34*c_0110_2*c_1100_0^2 - 5/17*c_0110_2*c_1100_0 + 5/17*c_0110_2 - 22/17*c_1100_0^3 + 3/17*c_1100_0^2 + 3/17*c_1100_0 - 3/17, c_1100_0^4 + 8/11*c_1100_0^3 + 3/11*c_1100_0^2 + 6/11*c_1100_0 + 4/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.360 seconds, Total memory usage: 32.09MB