Magma V2.19-8 Tue Aug 20 2013 16:18:28 on localhost [Seed = 2564359592] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2664 geometric_solution 5.93167131 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 -1 2 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 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 0.144132361495 0.292828239303 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 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 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 1.502798186442 2.456151526181 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 0 1 -1 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 -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 0.004628015310 0.607885013941 6 4 2 1 0132 0132 2310 0132 0 0 0 0 0 -1 0 1 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.004628015310 0.607885013941 6 3 5 2 3201 0132 2310 0132 0 0 0 0 0 1 0 -1 1 0 -1 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 -1 0 1 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 -0.146628493590 1.047629511256 6 4 2 6 2103 3201 0132 0321 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589392395291 1.140013454997 3 5 5 4 0132 0321 2103 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589392395291 1.140013454997 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_3']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 42146463/179584100*c_0101_3^15 + 6596133/89792050*c_0101_3^13 + 1659733/17958410*c_0101_3^11 - 719843889/89792050*c_0101_3^9 + 122995079/179584100*c_0101_3^7 + 2585418373/89792050*c_0101_3^5 + 534722577/89792050*c_0101_3^3 - 2831450647/44896025*c_0101_3, c_0011_0 - 1, c_0011_1 - 2179/1095025*c_0101_3^14 + 16372/1095025*c_0101_3^12 + 6747/219005*c_0101_3^10 + 174524/1095025*c_0101_3^8 - 510257/1095025*c_0101_3^6 - 1040993/1095025*c_0101_3^4 - 542157/1095025*c_0101_3^2 + 858404/1095025, c_0011_3 + 120427/2190050*c_0101_3^15 + 358039/2190050*c_0101_3^13 + 86182/219005*c_0101_3^11 - 1272806/1095025*c_0101_3^9 - 7986159/2190050*c_0101_3^7 - 5413941/2190050*c_0101_3^5 + 2378883/1095025*c_0101_3^3 - 701101/1095025*c_0101_3, c_0011_5 + 120427/2190050*c_0101_3^15 + 358039/2190050*c_0101_3^13 + 86182/219005*c_0101_3^11 - 1272806/1095025*c_0101_3^9 - 7986159/2190050*c_0101_3^7 - 5413941/2190050*c_0101_3^5 + 2378883/1095025*c_0101_3^3 - 701101/1095025*c_0101_3, c_0101_0 + 80007/2190050*c_0101_3^14 + 156237/1095025*c_0101_3^12 + 74887/219005*c_0101_3^10 - 601896/1095025*c_0101_3^8 - 6897069/2190050*c_0101_3^6 - 3583028/1095025*c_0101_3^4 + 708878/1095025*c_0101_3^2 + 76259/1095025, c_0101_1 + 17511/1095025*c_0101_3^14 - 3423/1095025*c_0101_3^12 - 3163/219005*c_0101_3^10 - 683391/1095025*c_0101_3^8 + 39063/1095025*c_0101_3^6 + 2207112/1095025*c_0101_3^4 + 1404013/1095025*c_0101_3^2 - 468411/1095025, c_0101_3^16 + 3*c_0101_3^14 + 7*c_0101_3^12 - 21*c_0101_3^10 - 68*c_0101_3^8 - 40*c_0101_3^6 + 40*c_0101_3^4 - 8*c_0101_3^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB