Magma V2.19-8 Tue Aug 20 2013 16:17:54 on localhost [Seed = 2867541610] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2130 geometric_solution 5.61860714 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.069478214501 1.324041915016 0 4 2 3 0132 1302 3120 2031 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 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 0.630816026697 0.457059385014 5 0 1 5 0132 0132 3120 1023 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0.884862094210 0.673711335546 6 1 6 0 0132 1302 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664283527529 0.724308600155 5 5 0 1 1302 0213 0132 2031 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 0 0 0 0 0 0 0 0 0 0 1 -1 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 -0.555768132083 0.518571910983 2 4 4 2 0132 2031 0213 1023 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0.884862094210 0.673711335546 3 3 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422854759874 0.205554302034 ==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' : negation(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' : negation(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' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), '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_3']), '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_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0110_4'])})} 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_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 216927/488320*c_0110_4^15 + 100237/48832*c_0110_4^13 - 3129867/488320*c_0110_4^11 + 131569/15260*c_0110_4^9 - 737003/61040*c_0110_4^7 + 2082485/97664*c_0110_4^5 - 760703/24416*c_0110_4^3 + 141007/7630*c_0110_4, c_0011_0 - 1, c_0011_3 + 563/48832*c_0110_4^15 - 2087/24416*c_0110_4^13 + 15079/48832*c_0110_4^11 - 6905/12208*c_0110_4^9 + 3667/6104*c_0110_4^7 - 28789/48832*c_0110_4^5 + 12501/6104*c_0110_4^3 - 5163/3052*c_0110_4, c_0011_4 + 359/48832*c_0110_4^15 - 1179/24416*c_0110_4^13 + 9355/48832*c_0110_4^11 - 5021/12208*c_0110_4^9 + 3455/6104*c_0110_4^7 - 32929/48832*c_0110_4^5 + 5765/6104*c_0110_4^3 - 3547/3052*c_0110_4, c_0101_0 - 461/24416*c_0110_4^14 + 1633/12208*c_0110_4^12 - 12217/24416*c_0110_4^10 + 5963/6104*c_0110_4^8 - 3561/3052*c_0110_4^6 + 30859/24416*c_0110_4^4 - 9133/3052*c_0110_4^2 + 4355/1526, c_0101_2 - 359/48832*c_0110_4^15 + 1179/24416*c_0110_4^13 - 9355/48832*c_0110_4^11 + 5021/12208*c_0110_4^9 - 3455/6104*c_0110_4^7 + 32929/48832*c_0110_4^5 - 5765/6104*c_0110_4^3 + 3547/3052*c_0110_4, c_0101_3 - 605/6976*c_0110_4^15 + 1325/3488*c_0110_4^13 - 8153/6976*c_0110_4^11 + 2561/1744*c_0110_4^9 - 1941/872*c_0110_4^7 + 28347/6976*c_0110_4^5 - 2305/436*c_0110_4^3 + 1187/436*c_0110_4, c_0110_4^16 - 6*c_0110_4^14 + 21*c_0110_4^12 - 40*c_0110_4^10 + 56*c_0110_4^8 - 87*c_0110_4^6 + 140*c_0110_4^4 - 144*c_0110_4^2 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB