Magma V2.19-8 Wed Aug 21 2013 01:08:08 on localhost [Seed = 4223525570] Type ? for help. Type -D to quit. Loading file "L14n38544__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38544 geometric_solution 11.98502465 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 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 1 0 -1 0 0 -1 1 0 -1 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756969565878 0.798714199947 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 1 1 -2 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 0.592535023261 0.786970248111 6 0 9 8 1302 0132 0132 0132 0 1 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 -1 0 1 0 0 0 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785086155587 0.684652998814 7 9 8 0 1302 0132 2031 0132 0 0 1 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 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279501184414 0.773734837049 5 8 0 10 2103 2031 0132 0132 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 0 0 0 -2 1 1 1 0 -1 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 0.533568652650 0.717878656245 11 1 4 12 0132 0132 2103 0132 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 0 0 0 -1 0 1 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 0.592535023261 0.786970248111 12 2 1 10 0132 2031 0132 2031 1 0 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 -2 2 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 -0.214913844413 0.684652998814 11 3 10 1 3120 2031 2031 0132 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 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 0.333076925517 0.897297542033 4 11 2 3 1302 0213 0132 1302 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 0 0 0 0 0 -1 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587017205246 1.143248019047 12 3 11 2 1230 0132 0213 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276491641180 0.630952620943 12 6 4 7 3120 1302 0132 1302 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 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 1.434133506357 0.518941364779 5 9 8 7 0132 0213 0213 3120 0 0 1 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 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.756969565878 0.798714199947 6 9 5 10 0132 3012 0132 3120 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 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 -0.214913844413 0.684652998814 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_0011_3'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_0'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['c_0011_0']), 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : negation(d['c_1010_10']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_0011_7']), '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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), '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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), '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_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_0101_1'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : negation(d['c_0011_4']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_8']})} 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_12, c_0011_3, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_8, c_1001_0, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1554740015139/17174626304*c_1010_10^8 - 2941648482009/8587313152*c_1010_10^7 - 432082315859/4293656576*c_1010_10^6 + 15857709480675/17174626304*c_1010_10^5 + 5853012550205/8587313152*c_1010_10^4 - 4486293975409/8587313152*c_1010_10^3 - 2591613619329/8587313152*c_1010_10^2 - 2388959899729/8587313152*c_1010_10 - 4432795241317/8587313152, c_0011_0 - 1, c_0011_12 + 98751/524128*c_1010_10^8 + 206401/262064*c_1010_10^7 + 2213/131032*c_1010_10^6 - 1678855/524128*c_1010_10^5 - 469097/262064*c_1010_10^4 + 967877/262064*c_1010_10^3 + 192413/262064*c_1010_10^2 - 51467/262064*c_1010_10 + 436209/262064, c_0011_3 + 50715/524128*c_1010_10^8 - 28491/262064*c_1010_10^7 - 164607/131032*c_1010_10^6 - 312771/524128*c_1010_10^5 + 638707/262064*c_1010_10^4 + 60745/262064*c_1010_10^3 - 183135/262064*c_1010_10^2 + 172873/262064*c_1010_10 - 229147/262064, c_0011_4 - 50715/524128*c_1010_10^8 + 28491/262064*c_1010_10^7 + 164607/131032*c_1010_10^6 + 312771/524128*c_1010_10^5 - 638707/262064*c_1010_10^4 - 60745/262064*c_1010_10^3 + 183135/262064*c_1010_10^2 - 172873/262064*c_1010_10 + 229147/262064, c_0011_7 - 7767/131032*c_1010_10^8 - 16425/65516*c_1010_10^7 - 8839/32758*c_1010_10^6 - 4977/131032*c_1010_10^5 + 3229/65516*c_1010_10^4 + 65863/65516*c_1010_10^3 + 56823/65516*c_1010_10^2 - 88457/65516*c_1010_10 - 23981/65516, c_0011_8 - 1, c_0101_0 - 1, c_0101_1 + 41325/131032*c_1010_10^8 + 68867/65516*c_1010_10^7 + 5477/32758*c_1010_10^6 - 317877/131032*c_1010_10^5 - 111671/65516*c_1010_10^4 + 24927/65516*c_1010_10^3 + 113767/65516*c_1010_10^2 + 126235/65516*c_1010_10 + 39631/65516, c_0101_10 - c_1010_10, c_0101_7 + c_1010_10^2 - 1, c_0110_8 - 7767/131032*c_1010_10^8 - 16425/65516*c_1010_10^7 - 8839/32758*c_1010_10^6 - 4977/131032*c_1010_10^5 + 3229/65516*c_1010_10^4 + 65863/65516*c_1010_10^3 + 56823/65516*c_1010_10^2 - 88457/65516*c_1010_10 - 23981/65516, c_1001_0 + 2433/131032*c_1010_10^8 + 21619/65516*c_1010_10^7 + 22001/32758*c_1010_10^6 - 100321/131032*c_1010_10^5 - 159171/65516*c_1010_10^4 + 19579/65516*c_1010_10^3 + 78007/65516*c_1010_10^2 - 8073/65516*c_1010_10 + 36335/65516, c_1010_10^9 + 11/3*c_1010_10^8 + 2/3*c_1010_10^7 - 31/3*c_1010_10^6 - 19/3*c_1010_10^5 + 20/3*c_1010_10^4 + 8/3*c_1010_10^3 + 8/3*c_1010_10^2 + 16/3*c_1010_10 - 2/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB