Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 2530675276] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0928 geometric_solution 4.82971639 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 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 -1 0 1 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 1.305805316577 0.263204060513 2 0 0 3 0132 0132 1023 0132 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 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 1.065500678010 0.674623313444 1 4 3 3 0132 0132 3201 2031 0 0 0 0 0 0 -1 1 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 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 0.344916683047 0.693752364823 2 2 1 4 2310 1302 0132 1023 0 0 0 0 0 0 -1 1 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 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 0.344916683047 0.693752364823 5 2 5 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768481974509 0.864925729888 4 6 4 6 0132 0132 1023 1023 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646247618466 0.175405769040 6 5 6 5 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615554379495 0.054746631629 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], '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' : negation(d['c_0011_0']), '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_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 2033/576*c_0110_6^23 - 12271/576*c_0110_6^22 - 1691/36*c_0110_6^21 + 22617/64*c_0110_6^20 + 8177/32*c_0110_6^19 - 372919/144*c_0110_6^18 - 398123/576*c_0110_6^17 + 1589767/144*c_0110_6^16 + 214321/288*c_0110_6^15 - 971269/32*c_0110_6^14 + 271385/288*c_0110_6^13 + 507424/9*c_0110_6^12 - 912073/192*c_0110_6^11 - 41465249/576*c_0110_6^10 + 4979041/576*c_0110_6^9 + 36179371/576*c_0110_6^8 - 1363931/144*c_0110_6^7 - 5216707/144*c_0110_6^6 + 1752271/288*c_0110_6^5 + 3683987/288*c_0110_6^4 - 85379/48*c_0110_6^3 - 1344763/576*c_0110_6^2 + 60289/576*c_0110_6 + 74911/576, c_0011_0 - 1, c_0011_3 + c_0110_6^3 - 2*c_0110_6, c_0101_0 - 2*c_0110_6^23 + c_0110_6^22 + 30*c_0110_6^21 - 11*c_0110_6^20 - 195*c_0110_6^19 + 42*c_0110_6^18 + 721*c_0110_6^17 - 26*c_0110_6^16 - 1675*c_0110_6^15 - 304*c_0110_6^14 + 2553*c_0110_6^13 + 1146*c_0110_6^12 - 2602*c_0110_6^11 - 2044*c_0110_6^10 + 1814*c_0110_6^9 + 2201*c_0110_6^8 - 939*c_0110_6^7 - 1500*c_0110_6^6 + 404*c_0110_6^5 + 573*c_0110_6^4 - 113*c_0110_6^3 - 92*c_0110_6^2 + 9*c_0110_6 + 3, c_0101_1 - c_0110_6^22 + c_0110_6^21 + 16*c_0110_6^20 - 15*c_0110_6^19 - 113*c_0110_6^18 + 99*c_0110_6^17 + 464*c_0110_6^16 - 378*c_0110_6^15 - 1228*c_0110_6^14 + 927*c_0110_6^13 + 2192*c_0110_6^12 - 1539*c_0110_6^11 - 2675*c_0110_6^10 + 1775*c_0110_6^9 + 2201*c_0110_6^8 - 1412*c_0110_6^7 - 1165*c_0110_6^6 + 722*c_0110_6^5 + 360*c_0110_6^4 - 197*c_0110_6^3 - 53*c_0110_6^2 + 17*c_0110_6 + 2, c_0101_2 - c_0110_6^4 + 3*c_0110_6^2 - 1, c_0101_4 + c_0110_6^2 - 1, c_0110_6^24 - c_0110_6^23 - 18*c_0110_6^22 + 17*c_0110_6^21 + 144*c_0110_6^20 - 128*c_0110_6^19 - 675*c_0110_6^18 + 562*c_0110_6^17 + 2058*c_0110_6^16 - 1598*c_0110_6^15 - 4282*c_0110_6^14 + 3100*c_0110_6^13 + 6197*c_0110_6^12 - 4219*c_0110_6^11 - 6221*c_0110_6^10 + 4057*c_0110_6^9 + 4222*c_0110_6^8 - 2676*c_0110_6^7 - 1834*c_0110_6^6 + 1098*c_0110_6^5 + 464*c_0110_6^4 - 227*c_0110_6^3 - 57*c_0110_6^2 + 13*c_0110_6 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB