Magma V2.19-8 Wed Aug 21 2013 01:07:37 on localhost [Seed = 104865567] Type ? for help. Type -D to quit. Loading file "L14n33576__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33576 geometric_solution 11.96417904 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 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 0 -1 1 0 -1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009753578563 0.519140638068 0 4 6 5 0132 3120 0132 0132 1 0 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 -1 1 -1 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036177675616 1.925580593957 5 0 8 7 3120 0132 0132 0132 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 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 0.777161814391 1.143858992772 9 6 4 0 0132 2031 3201 0132 1 0 0 0 0 0 0 0 -1 0 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 2 0 -3 1 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864148204242 0.852480706558 3 1 0 5 2310 3120 0132 0321 1 0 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 1 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.135263673040 1.108363370002 10 4 1 2 0132 0321 0132 3120 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 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 0.182307584920 1.143994438474 3 7 8 1 1302 2103 2103 0132 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 -1 0 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 0.164084431737 0.842267909797 11 6 2 8 0132 2103 0132 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980548079733 0.622340842685 6 7 12 2 2103 0321 0132 0132 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 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 0.980548079733 0.622340842685 3 11 11 10 0132 3201 3012 0321 1 0 0 0 0 -1 1 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 4 -3 -1 -2 0 0 2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482593657383 0.598862445676 5 9 12 12 0132 0321 0213 0132 1 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 1 -1 0 -1 0 1 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184164254743 1.012390822383 7 9 9 12 0132 1230 2310 1230 0 0 0 1 0 0 0 0 0 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 2 0 -2 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482593657383 0.598862445676 11 10 10 8 3012 0213 0132 0132 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 1 0 -1 0 0 0 0 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482593657383 0.598862445676 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : d['c_1001_10'], '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_0011_11'], 'c_0101_10' : d['c_0011_12'], '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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_8'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : d['c_1001_8'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_1001_8'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1001_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_1001_1']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['c_1001_8'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), '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' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/20*c_1001_8 + 1/10, c_0011_0 - 1, c_0011_10 + c_1001_8, c_0011_11 - c_1001_8 + 1, c_0011_12 - 2, c_0011_3 - c_1001_8, c_0011_4 - c_1001_8, c_0011_6 + 1, c_0101_0 - 1, c_0101_1 - c_1001_8 - 1, c_0101_2 - c_1001_8 + 2, c_1001_1 + 1, c_1001_10 - 1, c_1001_8^2 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 16/5*c_1001_8 - 8/5, c_0011_0 - 1, c_0011_10 + c_1001_8, c_0011_11 - 1/2*c_1001_8 - 1/2, c_0011_12 + c_1001_8, c_0011_3 + 2, c_0011_4 + 1/2*c_1001_8 + 1/2, c_0011_6 - 3/2*c_1001_8 + 1/2, c_0101_0 - 1, c_0101_1 + 1/2*c_1001_8 - 1/2, c_0101_2 - 1/2*c_1001_8 + 1/2, c_1001_1 - 1/2*c_1001_8, c_1001_10 - 1/2*c_1001_8 + 1/2, c_1001_8^2 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2266737/1240*c_1001_8^7 - 2457583/620*c_1001_8^6 + 3704093/1240*c_1001_8^5 + 577655/248*c_1001_8^4 - 3843871/310*c_1001_8^3 + 526204/155*c_1001_8^2 + 25632219/1240*c_1001_8 + 6698581/620, c_0011_0 - 1, c_0011_10 - 184/403*c_1001_8^7 - 362/403*c_1001_8^6 + 336/403*c_1001_8^5 + 138/403*c_1001_8^4 - 1091/403*c_1001_8^3 + 627/403*c_1001_8^2 + 143/31*c_1001_8 + 671/403, c_0011_11 + c_1001_8, c_0011_12 + 41/403*c_1001_8^7 + 50/403*c_1001_8^6 - 180/403*c_1001_8^5 + 70/403*c_1001_8^4 + 311/403*c_1001_8^3 - 523/403*c_1001_8^2 + 2/31*c_1001_8 - 86/403, c_0011_3 - 41/403*c_1001_8^7 - 50/403*c_1001_8^6 + 180/403*c_1001_8^5 - 70/403*c_1001_8^4 - 311/403*c_1001_8^3 + 523/403*c_1001_8^2 - 2/31*c_1001_8 + 86/403, c_0011_4 + 2/31*c_1001_8^7 + 10/31*c_1001_8^6 - 5/31*c_1001_8^5 - 17/31*c_1001_8^4 + 56/31*c_1001_8^3 + 7/31*c_1001_8^2 - 63/31*c_1001_8 - 11/31, c_0011_6 + 16/31*c_1001_8^7 + 18/31*c_1001_8^6 - 40/31*c_1001_8^5 + 19/31*c_1001_8^4 + 76/31*c_1001_8^3 - 99/31*c_1001_8^2 - 101/31*c_1001_8 + 5/31, c_0101_0 - 1, c_0101_1 + 1, c_0101_2 - 16/31*c_1001_8^7 - 18/31*c_1001_8^6 + 40/31*c_1001_8^5 - 19/31*c_1001_8^4 - 76/31*c_1001_8^3 + 99/31*c_1001_8^2 + 101/31*c_1001_8 - 5/31, c_1001_1 - 14/31*c_1001_8^7 - 8/31*c_1001_8^6 + 35/31*c_1001_8^5 - 36/31*c_1001_8^4 - 20/31*c_1001_8^3 + 106/31*c_1001_8^2 + 38/31*c_1001_8 - 16/31, c_1001_10 + 2/31*c_1001_8^7 + 10/31*c_1001_8^6 - 5/31*c_1001_8^5 - 17/31*c_1001_8^4 + 25/31*c_1001_8^3 - 24/31*c_1001_8^2 - 32/31*c_1001_8 - 11/31, c_1001_8^8 + 2*c_1001_8^7 - 2*c_1001_8^6 - c_1001_8^5 + 7*c_1001_8^4 - 3*c_1001_8^3 - 11*c_1001_8^2 - 4*c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB