Magma V2.19-8 Wed Aug 21 2013 01:14:00 on localhost [Seed = 340920994] Type ? for help. Type -D to quit. Loading file "L14n990__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n990 geometric_solution 11.77153084 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 -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 1 2 0 -3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442472419072 1.129498229239 0 0 4 4 0132 2310 2310 0132 1 1 1 1 0 1 -1 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 3 -3 0 0 0 0 0 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.240266298005 0.730270045259 5 0 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 -2 1 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 -1 0 1 1 0 -1 0 0 -3 0 3 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269124788549 0.940010497892 8 9 5 0 0132 0132 2310 0132 1 1 1 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 0 -2 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 0.353760078215 0.344593342344 8 1 1 10 2103 3201 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 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 3 0 -3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734526970833 0.392826902617 2 3 9 11 0132 3201 2103 0132 1 0 1 1 0 0 0 0 -1 0 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 -1 0 1 -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 0.269124788549 0.940010497892 10 8 2 12 0213 2310 0132 0132 1 0 1 1 0 0 0 0 1 0 -1 0 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 1 -1 0 0 0 0 0 0 -2 0 2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.281497184334 0.983225327654 10 11 9 2 3201 3120 0132 0132 1 0 1 1 0 0 0 0 -1 0 -1 2 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515500128510 0.663007206802 3 12 4 6 0132 2103 2103 3201 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 -2 0 0 2 1 0 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.031000257021 1.326014413604 5 3 12 7 2103 0132 0132 0132 1 0 1 1 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 -1 0 0 1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718502815666 0.983225327654 6 11 4 7 0213 3012 0132 2310 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.269124788549 0.940010497892 10 7 5 12 1230 3120 0132 3120 1 0 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 -1 1 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 0 0 0.718502815666 0.983225327654 11 8 6 9 3120 2103 0132 0132 1 0 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -2 0 0 2 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269124788549 0.940010497892 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_1001_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : negation(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_6'], '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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(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' : 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' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_1100_12'], 'c_1100_6' : d['c_1100_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1100_12'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_12'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_1001_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : d['c_0011_12'], '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_10'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_0'], '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' : d['c_0101_12'], 'c_0110_8' : d['c_0011_3'], '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_0011_10'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_12']})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_1001_0, c_1001_11, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2515971/1519624*c_1100_12^5 + 3050807/759812*c_1100_12^4 - 14074355/759812*c_1100_12^3 + 17008277/379906*c_1100_12^2 - 6884585/379906*c_1100_12 + 35785275/759812, c_0011_0 - 1, c_0011_10 - c_1100_12, c_0011_11 + 11/97*c_1100_12^5 + 3/97*c_1100_12^4 + 124/97*c_1100_12^3 + 25/97*c_1100_12^2 + 121/97*c_1100_12 + 33/97, c_0011_12 + 22/97*c_1100_12^5 - 73/388*c_1100_12^4 + 248/97*c_1100_12^3 - 385/194*c_1100_12^2 + 242/97*c_1100_12 - 128/97, c_0011_3 + 83/388*c_1100_12^5 + 5/388*c_1100_12^4 + 459/194*c_1100_12^3 + 37/194*c_1100_12^2 + 204/97*c_1100_12 + 38/97, c_0011_6 + 39/194*c_1100_12^5 + 83/388*c_1100_12^4 + 211/97*c_1100_12^3 + 459/194*c_1100_12^2 + 166/97*c_1100_12 + 204/97, c_0101_0 + 8/97*c_1100_12^5 + 11/97*c_1100_12^4 + 99/97*c_1100_12^3 + 124/97*c_1100_12^2 + 185/97*c_1100_12 + 121/97, c_0101_1 - 3/97*c_1100_12^5 - 65/388*c_1100_12^4 - 25/97*c_1100_12^3 - 192/97*c_1100_12^2 + 64/97*c_1100_12 - 203/97, c_0101_11 - 1, c_0101_12 + 1/4*c_1100_12^4 + 5/2*c_1100_12^2 + 2, c_1001_0 + 3/97*c_1100_12^5 - 8/97*c_1100_12^4 + 25/97*c_1100_12^3 - 99/97*c_1100_12^2 - 64/97*c_1100_12 - 88/97, c_1001_11 - 39/194*c_1100_12^5 - 83/388*c_1100_12^4 - 211/97*c_1100_12^3 - 459/194*c_1100_12^2 - 166/97*c_1100_12 - 204/97, c_1100_12^6 + 12*c_1100_12^4 + 20*c_1100_12^2 + 8 ], 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_1001_0, c_1001_11, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 14528639/27904*c_1100_12^7 - 132065555/55808*c_1100_12^6 - 52535889/13952*c_1100_12^5 - 5395739/6976*c_1100_12^4 + 9565987/1744*c_1100_12^3 + 123262149/13952*c_1100_12^2 + 384581/64*c_1100_12 + 14089173/6976, c_0011_0 - 1, c_0011_10 + c_1100_12, c_0011_11 - c_1100_12 - 1, c_0011_12 + 1/2*c_1100_12^7 + 5/4*c_1100_12^6 - 1/2*c_1100_12^5 - 13/4*c_1100_12^4 - 3/2*c_1100_12^3 + 3/2*c_1100_12^2 + 2*c_1100_12, c_0011_3 + 1/2*c_1100_12^6 + 3/4*c_1100_12^5 - 5/4*c_1100_12^4 - 3*c_1100_12^3 - 1/2*c_1100_12^2 + 2*c_1100_12 + 2, c_0011_6 - 1/2*c_1100_12^7 - 9/4*c_1100_12^6 - c_1100_12^5 + 23/4*c_1100_12^4 + 15/2*c_1100_12^3 - 1/2*c_1100_12^2 - 6*c_1100_12 - 4, c_0101_0 + c_1100_12^3 + c_1100_12^2 - c_1100_12 - 1, c_0101_1 + 1/2*c_1100_12^7 + 5/4*c_1100_12^6 - 1/2*c_1100_12^5 - 17/4*c_1100_12^4 - 3*c_1100_12^3 + 2*c_1100_12^2 + 4*c_1100_12 + 1, c_0101_11 - 1, c_0101_12 - 1/2*c_1100_12^7 - 5/4*c_1100_12^6 + 1/2*c_1100_12^5 + 13/4*c_1100_12^4 + 3/2*c_1100_12^3 - 3/2*c_1100_12^2 - 2*c_1100_12, c_1001_0 + c_1100_12^2, c_1001_11 - 1/2*c_1100_12^7 - 5/4*c_1100_12^6 + 1/2*c_1100_12^5 + 13/4*c_1100_12^4 + 3/2*c_1100_12^3 - 3/2*c_1100_12^2 - 2*c_1100_12, c_1100_12^8 + 7/2*c_1100_12^7 + 5/2*c_1100_12^6 - 6*c_1100_12^5 - 12*c_1100_12^4 - 6*c_1100_12^3 + 6*c_1100_12^2 + 8*c_1100_12 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.450 seconds, Total memory usage: 32.09MB