Magma V2.19-8 Tue Aug 20 2013 23:41:52 on localhost [Seed = 1377056529] Type ? for help. Type -D to quit. Loading file "L12n376__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n376 geometric_solution 10.66436111 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -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 1.012316044054 0.734171222733 0 5 3 6 0132 0132 2310 0132 1 1 1 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 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 1.012316044054 0.734171222733 7 0 9 8 0132 0132 0132 0132 1 0 1 1 0 1 0 -1 -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 -1 0 1 0 0 -1 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469481630772 0.647347338744 10 1 7 0 0132 3201 0213 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559424135688 0.547309284343 7 8 0 10 2310 2310 0132 3201 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 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 0.651935569048 0.772501188681 10 1 8 9 3012 0132 2103 3120 1 0 1 1 0 0 0 0 0 0 -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 -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 0.469481630772 0.647347338744 10 9 1 7 2103 0213 0132 0213 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 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 0.651935569048 0.772501188681 2 3 4 6 0132 0213 3201 0213 1 0 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 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 0.361959718589 0.756036177833 5 9 2 4 2103 2103 0132 3201 1 0 1 1 0 -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 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 0.265828777267 1.012316044054 5 8 6 2 3120 2103 0213 0132 1 0 1 1 0 0 0 0 -1 0 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 -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 0.757333433883 0.924110853464 3 4 6 5 0132 2310 2103 1230 0 1 1 1 0 1 -1 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 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 0.651935569048 0.772501188681 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_2']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_9'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], '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_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' : negation(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_1100_9' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0011_4']), 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_1001_2']), 's_3_1' : d['1'], 's_3_0' : 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' : 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' : 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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_10' : d['c_0011_0'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], '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_0011_6'], 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_6'], '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_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 275056/7*c_1001_2^7 + 485424/7*c_1001_2^6 + 904628/7*c_1001_2^5 + 1275972/7*c_1001_2^4 + 1288261/7*c_1001_2^3 + 698273/7*c_1001_2^2 + 533375/28*c_1001_2 - 116429/28, c_0011_0 - 1, c_0011_10 + 12*c_1001_2^7 + 18*c_1001_2^6 + 36*c_1001_2^5 + 49*c_1001_2^4 + 191/4*c_1001_2^3 + 201/8*c_1001_2^2 + 47/8*c_1001_2 + 1/2, c_0011_4 + 4*c_1001_2^6 + 4*c_1001_2^5 + 10*c_1001_2^4 + 12*c_1001_2^3 + 41/4*c_1001_2^2 + 15/4*c_1001_2 + 1/2, c_0011_6 + 16/7*c_1001_2^7 + 12/7*c_1001_2^6 + 24/7*c_1001_2^5 + 30/7*c_1001_2^4 + 5/7*c_1001_2^3 - 57/28*c_1001_2^2 - 13/7*c_1001_2 + 5/28, c_0011_8 - c_1001_2, c_0011_9 - 24/7*c_1001_2^7 - 4/7*c_1001_2^6 - 36/7*c_1001_2^5 - 10/7*c_1001_2^4 + 13/14*c_1001_2^3 + 187/28*c_1001_2^2 + 53/14*c_1001_2 + 17/28, c_0101_0 - 20/7*c_1001_2^7 - 22/7*c_1001_2^6 - 44/7*c_1001_2^5 - 55/7*c_1001_2^4 - 137/28*c_1001_2^3 + 13/56*c_1001_2^2 + 151/56*c_1001_2 + 5/7, c_0101_1 + 20/7*c_1001_2^7 + 22/7*c_1001_2^6 + 44/7*c_1001_2^5 + 55/7*c_1001_2^4 + 137/28*c_1001_2^3 - 13/56*c_1001_2^2 - 151/56*c_1001_2 - 5/7, c_0101_2 - 1, c_0101_5 - 48/7*c_1001_2^7 - 120/7*c_1001_2^6 - 212/7*c_1001_2^5 - 328/7*c_1001_2^4 - 365/7*c_1001_2^3 - 527/14*c_1001_2^2 - 355/28*c_1001_2 - 29/28, c_1001_2^8 + 2*c_1001_2^7 + 15/4*c_1001_2^6 + 11/2*c_1001_2^5 + 95/16*c_1001_2^4 + 31/8*c_1001_2^3 + 85/64*c_1001_2^2 + 5/32*c_1001_2 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB