Magma V2.19-8 Tue Aug 20 2013 23:42:21 on localhost [Seed = 2699478518] Type ? for help. Type -D to quit. Loading file "L13n2673__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2673 geometric_solution 9.93124758 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -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 -1 0 1 1 0 0 -1 11 -11 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411861459904 0.653948862031 0 5 6 2 0132 0132 0132 1023 1 1 0 1 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 -2 2 0 0 -11 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.520610006619 1.690760111146 6 0 7 1 1230 0132 0132 1023 1 1 0 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 0 0 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155218519115 0.547440047258 5 6 7 0 0132 1230 0321 0132 1 1 0 1 0 0 0 0 0 0 0 0 2 -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 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411861459904 0.653948862031 5 8 0 9 3120 0132 0132 0132 1 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 -1 1 0 0 1 -1 -1 1 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540735328184 0.694202869658 3 1 6 4 0132 0132 2103 3120 1 1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 0 -1 0 1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155218519115 0.547440047258 5 2 3 1 2103 3012 3012 0132 1 1 1 0 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 10 0 0 -10 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166344778309 0.540229946189 10 8 3 2 0132 0321 0321 0132 1 1 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 0 0 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662871037251 1.001964672033 10 4 9 7 2031 0132 0132 0321 1 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 0 0 0 0 0 0 0 10 -10 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.196698271253 1.789016539595 10 10 4 8 3201 3120 0132 0132 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 0 0 0 0 0 1 -1 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 0.104707017906 0.999123513406 7 9 8 9 0132 3120 1302 2310 1 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 -1 0 1 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896248672367 0.990004233319 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_4'], '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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1001_3'], 'c_1100_10' : d['c_0011_9'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_3']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0011_9'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : d['c_0011_10'], '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_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0011_4'], 'c_1100_8' : d['c_1001_7']})} 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_9, c_0101_0, c_0101_1, c_0101_3, c_1001_2, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 763627670/1068874191*c_1001_7^12 - 1112739379/2137748382*c_1001_7^11 + 1769366539/97170381*c_1001_7^10 - 1234112059/97170381*c_1001_7^9 + 174666553486/1068874191*c_1001_7^8 - 32648937961/305392626*c_1001_7^7 + 624064936958/1068874191*c_1001_7^6 - 17332329064/50898771*c_1001_7^5 + 74702927246/118763799*c_1001_7^4 - 587153187919/2137748382*c_1001_7^3 + 39121241993/237527598*c_1001_7^2 - 187838417944/1068874191*c_1001_7 + 51438647212/1068874191, c_0011_0 - 1, c_0011_10 + 11/607*c_1001_7^12 - 105/607*c_1001_7^11 + 273/607*c_1001_7^10 - 1723/607*c_1001_7^9 + 2236/607*c_1001_7^8 - 7515/607*c_1001_7^7 + 6192/607*c_1001_7^6 - 3779/607*c_1001_7^5 + 1206/607*c_1001_7^4 - 1464/607*c_1001_7^3 + 609/607*c_1001_7^2 + 125/607*c_1001_7 - 89/607, c_0011_4 + c_1001_7, c_0011_6 + 10247/1615834*c_1001_7^12 + 8952/807917*c_1001_7^11 + 21825/146894*c_1001_7^10 + 23103/146894*c_1001_7^9 + 930442/807917*c_1001_7^8 + 633399/1615834*c_1001_7^7 + 2314478/807917*c_1001_7^6 - 2143855/1615834*c_1001_7^5 - 456493/807917*c_1001_7^4 - 892585/1615834*c_1001_7^3 + 2055013/1615834*c_1001_7^2 - 86957/1615834*c_1001_7 + 1897899/1615834, c_0011_9 - 7602/807917*c_1001_7^12 - 61141/807917*c_1001_7^11 - 15446/73447*c_1001_7^10 - 86587/73447*c_1001_7^9 - 1340334/807917*c_1001_7^8 - 3513922/807917*c_1001_7^7 - 3955428/807917*c_1001_7^6 + 1705823/807917*c_1001_7^5 - 1901279/807917*c_1001_7^4 + 1286397/807917*c_1001_7^3 - 1059935/807917*c_1001_7^2 + 212975/807917*c_1001_7 + 188039/807917, c_0101_0 + 40295/1615834*c_1001_7^12 + 10247/1615834*c_1001_7^11 + 44772/73447*c_1001_7^10 + 21825/146894*c_1001_7^9 + 4015534/807917*c_1001_7^8 + 890147/807917*c_1001_7^7 + 21909159/1615834*c_1001_7^6 + 1669758/807917*c_1001_7^5 + 515615/1615834*c_1001_7^4 - 3075668/807917*c_1001_7^3 - 328455/1615834*c_1001_7^2 + 684999/807917*c_1001_7 - 345691/807917, c_0101_1 - 1, c_0101_3 - 10247/807917*c_1001_7^12 - 17904/807917*c_1001_7^11 - 21825/73447*c_1001_7^10 - 23103/73447*c_1001_7^9 - 1860884/807917*c_1001_7^8 - 633399/807917*c_1001_7^7 - 4628956/807917*c_1001_7^6 + 2143855/807917*c_1001_7^5 + 912986/807917*c_1001_7^4 + 892585/807917*c_1001_7^3 - 1247096/807917*c_1001_7^2 + 86957/807917*c_1001_7 + 525852/807917, c_1001_2 + 10247/807917*c_1001_7^12 + 17904/807917*c_1001_7^11 + 21825/73447*c_1001_7^10 + 23103/73447*c_1001_7^9 + 1860884/807917*c_1001_7^8 + 633399/807917*c_1001_7^7 + 4628956/807917*c_1001_7^6 - 2143855/807917*c_1001_7^5 - 912986/807917*c_1001_7^4 - 892585/807917*c_1001_7^3 + 1247096/807917*c_1001_7^2 - 86957/807917*c_1001_7 - 525852/807917, c_1001_3 + 1, c_1001_7^13 + 24*c_1001_7^11 + 193*c_1001_7^9 - 2*c_1001_7^8 + 528*c_1001_7^7 - 32*c_1001_7^6 + 66*c_1001_7^5 - 130*c_1001_7^4 + 14*c_1001_7^3 - 17*c_1001_7^2 - 15*c_1001_7 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB