Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 4240269504] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0165 geometric_solution 3.90506656 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 1023 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 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 1.367515533068 0.221291220420 0 3 4 0 0132 0132 0132 1023 0 0 0 0 0 0 1 -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 0 -1 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 0.828062642642 0.919126453885 5 0 0 5 0132 0132 1023 1023 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 0 0 0 1.312385476636 0.069370129512 6 1 4 4 0132 0132 1302 3201 0 0 0 0 0 0 -1 1 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 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 0.260311791220 0.441738410853 3 3 6 1 2031 2310 2310 0132 0 0 0 0 0 0 1 -1 1 0 -2 1 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 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 0.260311791220 0.441738410853 2 5 5 2 0132 1230 3012 1023 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 0 0 0 1.491751433982 0.040837799095 3 4 6 6 0132 3201 1230 3012 0 0 0 0 0 0 -1 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 0 1 -1 0 0 1 -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 -0.419085226381 0.928042245836 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 6161794/1070531*c_0101_6^10 + 39966426/1070531*c_0101_6^9 - 75969172/1070531*c_0101_6^8 + 158486651/1070531*c_0101_6^7 - 38628382/1070531*c_0101_6^6 - 22220966/1070531*c_0101_6^5 + 112613107/1070531*c_0101_6^4 - 10073011/97321*c_0101_6^3 + 650810/13903*c_0101_6^2 - 2648635/97321*c_0101_6 + 433535/152933, c_0011_0 - 1, c_0011_4 - 18736/97321*c_0101_6^10 + 109869/97321*c_0101_6^9 - 155927/97321*c_0101_6^8 + 351144/97321*c_0101_6^7 + 126284/97321*c_0101_6^6 - 85951/97321*c_0101_6^5 + 184049/97321*c_0101_6^4 - 342355/97321*c_0101_6^3 - 3152/97321*c_0101_6^2 - 43396/97321*c_0101_6 - 64881/97321, c_0101_0 + 40244/97321*c_0101_6^10 - 238715/97321*c_0101_6^9 + 315746/97321*c_0101_6^8 - 576386/97321*c_0101_6^7 - 460741/97321*c_0101_6^6 + 693850/97321*c_0101_6^5 + 131107/97321*c_0101_6^4 + 250024/97321*c_0101_6^3 + 196592/97321*c_0101_6^2 - 75167/97321*c_0101_6 - 144561/97321, c_0101_1 - 46145/97321*c_0101_6^10 + 260681/97321*c_0101_6^9 - 318133/97321*c_0101_6^8 + 725668/97321*c_0101_6^7 + 614146/97321*c_0101_6^6 - 306813/97321*c_0101_6^5 + 443691/97321*c_0101_6^4 - 317049/97321*c_0101_6^3 - 339203/97321*c_0101_6^2 + 40244/97321*c_0101_6 - 43396/97321, c_0101_2 - 56432/97321*c_0101_6^10 + 294768/97321*c_0101_6^9 - 212505/97321*c_0101_6^8 + 505535/97321*c_0101_6^7 + 1318749/97321*c_0101_6^6 - 552672/97321*c_0101_6^5 - 368997/97321*c_0101_6^4 - 70830/97321*c_0101_6^3 - 491777/97321*c_0101_6^2 + 87372/97321*c_0101_6 + 131284/97321, c_0101_5 + 64880/97321*c_0101_6^10 - 329431/97321*c_0101_6^9 + 219732/97321*c_0101_6^8 - 668685/97321*c_0101_6^7 - 1536091/97321*c_0101_6^6 + 187682/97321*c_0101_6^5 - 107014/97321*c_0101_6^4 + 141007/97321*c_0101_6^3 + 580463/97321*c_0101_6^2 - 6304/97321*c_0101_6 - 21912/97321, c_0101_6^11 - 6*c_0101_6^10 + 9*c_0101_6^9 - 19*c_0101_6^8 - 6*c_0101_6^7 + 8*c_0101_6^6 - 11*c_0101_6^5 + 13*c_0101_6^4 + c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB