Magma V2.19-8 Wed Aug 21 2013 00:56:55 on localhost [Seed = 627261439] Type ? for help. Type -D to quit. Loading file "L13n3136__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3136 geometric_solution 12.08990115 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 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 -1 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 1.063513916823 0.712720268790 0 5 2 6 0132 0132 2103 0132 1 1 1 1 0 0 1 -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 -1 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 0.871464898086 0.619763459428 1 0 8 7 2103 0132 0132 0132 0 1 1 1 0 -1 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 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 0.880870722050 0.864272096541 9 10 11 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.068094709440 0.949569415332 12 6 0 7 0132 2310 0132 0213 0 1 1 1 0 -2 2 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 -1 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534319703929 1.062537988661 10 1 12 7 0213 0132 2310 3120 1 1 1 1 0 0 1 -1 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 0.551279693219 0.542395740978 9 8 1 4 2103 2103 0132 3201 1 1 0 1 0 0 1 -1 0 0 0 0 -2 0 0 2 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 -1 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 0.983040010711 0.520142247683 5 10 2 4 3120 0213 0132 0213 0 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 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 0.622251290059 0.751183891458 12 6 9 2 3120 2103 0132 0132 0 1 1 1 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 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 0.459156219044 1.771133036600 3 11 6 8 0132 0132 2103 0132 0 1 1 1 0 -1 2 -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 -1 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 0.573028653876 0.968883663442 5 3 7 11 0213 0132 0213 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118997925868 0.610106335373 12 9 10 3 2103 0132 0132 0132 0 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 -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 0.118997925868 0.610106335373 4 5 11 8 0132 3201 2103 3120 1 1 1 1 0 1 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 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 0.333042865521 1.034942637385 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_0011_6'], 's_3_11' : d['1'], 's_0_11' : 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_0011_0'], '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_12' : 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_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_1010_7'], 'c_1100_3' : d['c_1010_7'], 'c_1100_2' : negation(d['c_0110_6']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1010_7'], 'c_1100_10' : d['c_1010_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_1001_2'], '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'], 'c_1100_12' : negation(d['c_0101_3']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], '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_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0110_6'])})} 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_12, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_6, c_1001_0, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1275/7696*c_1010_7^5 + 4749/15392*c_1010_7^4 - 1601/15392*c_1010_7^3 + 16681/15392*c_1010_7^2 - 7135/7696*c_1010_7 + 4669/15392, c_0011_0 - 1, c_0011_10 + 177/148*c_1010_7^5 - 871/296*c_1010_7^4 + 707/296*c_1010_7^3 - 2891/296*c_1010_7^2 + 1929/148*c_1010_7 - 2319/296, c_0011_12 - 285/296*c_1010_7^5 + 1563/592*c_1010_7^4 - 1319/592*c_1010_7^3 + 4655/592*c_1010_7^2 - 3841/296*c_1010_7 + 4331/592, c_0011_6 + 7/148*c_1010_7^5 - 1/296*c_1010_7^4 - 59/296*c_1010_7^3 - 213/296*c_1010_7^2 - 9/148*c_1010_7 + 119/296, c_0011_8 - 69/296*c_1010_7^5 + 179/592*c_1010_7^4 - 95/592*c_1010_7^3 + 1127/592*c_1010_7^2 - 17/296*c_1010_7 + 307/592, c_0101_0 + 187/148*c_1010_7^5 - 957/296*c_1010_7^4 + 665/296*c_1010_7^3 - 2857/296*c_1010_7^2 + 2191/148*c_1010_7 - 1853/296, c_0101_1 - 33/296*c_1010_7^5 + 343/592*c_1010_7^4 - 483/592*c_1010_7^3 + 539/592*c_1010_7^2 - 909/296*c_1010_7 + 1511/592, c_0101_11 + 1, c_0101_3 - 137/148*c_1010_7^5 + 527/296*c_1010_7^4 - 283/296*c_1010_7^3 + 2139/296*c_1010_7^2 - 1029/148*c_1010_7 + 927/296, c_0110_6 + 69/296*c_1010_7^5 - 179/592*c_1010_7^4 + 95/592*c_1010_7^3 - 1127/592*c_1010_7^2 + 313/296*c_1010_7 - 307/592, c_1001_0 - 1, c_1001_2 - 69/296*c_1010_7^5 + 179/592*c_1010_7^4 - 95/592*c_1010_7^3 + 1127/592*c_1010_7^2 - 313/296*c_1010_7 + 307/592, c_1010_7^6 - 5/2*c_1010_7^5 + 2*c_1010_7^4 - 8*c_1010_7^3 + 23/2*c_1010_7^2 - 13/2*c_1010_7 + 1/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_6, c_1001_0, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 19939/3325*c_1010_7^5 + 22348/665*c_1010_7^4 - 133591/3325*c_1010_7^3 - 41267/3325*c_1010_7^2 - 4652/175*c_1010_7 + 29854/3325, c_0011_0 - 1, c_0011_10 - 6/7*c_1010_7^5 + 33/7*c_1010_7^4 - 41/7*c_1010_7^3 - 4/7*c_1010_7^2 - 26/7*c_1010_7 + 5/7, c_0011_12 + 6/7*c_1010_7^5 - 33/7*c_1010_7^4 + 34/7*c_1010_7^3 + 25/7*c_1010_7^2 + 26/7*c_1010_7 - 5/7, c_0011_6 - 1/7*c_1010_7^5 + 2/7*c_1010_7^4 + 6/7*c_1010_7^3 - 10/7*c_1010_7^2 + 5/7*c_1010_7 - 5/7, c_0011_8 + 1/7*c_1010_7^5 - 9/7*c_1010_7^4 + 15/7*c_1010_7^3 + 10/7*c_1010_7^2 + 2/7*c_1010_7 - 2/7, c_0101_0 - c_1010_7^5 + 6*c_1010_7^4 - 8*c_1010_7^3 - 2*c_1010_7^2 - 4*c_1010_7 + 1, c_0101_1 - 2/7*c_1010_7^5 + 11/7*c_1010_7^4 - 16/7*c_1010_7^3 + 8/7*c_1010_7^2 - 18/7*c_1010_7 + 4/7, c_0101_11 + 2/7*c_1010_7^5 - 11/7*c_1010_7^4 + 16/7*c_1010_7^3 - 8/7*c_1010_7^2 + 18/7*c_1010_7 - 11/7, c_0101_3 - 2/7*c_1010_7^5 + 11/7*c_1010_7^4 - 9/7*c_1010_7^3 - 20/7*c_1010_7^2 + 3/7*c_1010_7 - 3/7, c_0110_6 + 1/7*c_1010_7^5 - 9/7*c_1010_7^4 + 15/7*c_1010_7^3 + 10/7*c_1010_7^2 - 5/7*c_1010_7 + 5/7, c_1001_0 - 1, c_1001_2 + 1/7*c_1010_7^5 - 9/7*c_1010_7^4 + 15/7*c_1010_7^3 + 10/7*c_1010_7^2 - 5/7*c_1010_7 - 2/7, c_1010_7^6 - 6*c_1010_7^5 + 9*c_1010_7^4 - c_1010_7^3 + 4*c_1010_7^2 - 3*c_1010_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB