Magma V2.19-8 Tue Aug 20 2013 16:17:01 on localhost [Seed = 1065264110] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1271 geometric_solution 5.16891421 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 1.047722189704 0.976832689208 0 4 2 3 0132 3120 2031 1302 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 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 0.489395198787 0.476056979601 5 0 5 1 0132 0132 2310 1302 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 1.442430770823 0.496250938140 3 3 1 0 1302 2031 2031 0132 0 0 0 0 0 1 0 -1 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 0.511692549267 0.524886754205 4 1 0 4 3201 3120 0132 2310 0 0 0 0 0 0 1 -1 1 0 0 -1 1 0 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 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.333472293287 0.744066220987 2 2 6 6 0132 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339766706197 0.444446169517 5 6 6 5 3201 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.198563151261 0.592407093861 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : 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' : d['c_0011_6'], '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_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_5']})} 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_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 83/27*c_0101_5^17 + 34/3*c_0101_5^16 + 91/9*c_0101_5^15 - 2284/27*c_0101_5^14 + 281/9*c_0101_5^13 + 2489/9*c_0101_5^12 - 2426/9*c_0101_5^11 - 12815/27*c_0101_5^10 + 20092/27*c_0101_5^9 + 10462/27*c_0101_5^8 - 3292/3*c_0101_5^7 + 85/9*c_0101_5^6 + 24518/27*c_0101_5^5 - 7456/27*c_0101_5^4 - 10354/27*c_0101_5^3 + 5114/27*c_0101_5^2 + 502/9*c_0101_5 - 286/9, c_0011_0 - 1, c_0011_3 + c_0101_5^13 - 2*c_0101_5^12 - 6*c_0101_5^11 + 14*c_0101_5^10 + 14*c_0101_5^9 - 44*c_0101_5^8 - 12*c_0101_5^7 + 76*c_0101_5^6 - 6*c_0101_5^5 - 74*c_0101_5^4 + 19*c_0101_5^3 + 38*c_0101_5^2 - 10*c_0101_5 - 8, c_0011_4 + c_0101_5^15 - 2*c_0101_5^14 - 7*c_0101_5^13 + 16*c_0101_5^12 + 20*c_0101_5^11 - 58*c_0101_5^10 - 26*c_0101_5^9 + 120*c_0101_5^8 + 6*c_0101_5^7 - 150*c_0101_5^6 + 25*c_0101_5^5 + 112*c_0101_5^4 - 29*c_0101_5^3 - 46*c_0101_5^2 + 10*c_0101_5 + 8, c_0011_6 - c_0101_5^7 + c_0101_5^6 + 3*c_0101_5^5 - 3*c_0101_5^4 - 3*c_0101_5^3 + 4*c_0101_5^2 + c_0101_5 - 1, c_0101_0 + c_0101_5^14 - 2*c_0101_5^13 - 6*c_0101_5^12 + 14*c_0101_5^11 + 14*c_0101_5^10 - 44*c_0101_5^9 - 12*c_0101_5^8 + 76*c_0101_5^7 - 6*c_0101_5^6 - 74*c_0101_5^5 + 19*c_0101_5^4 + 38*c_0101_5^3 - 10*c_0101_5^2 - 8*c_0101_5, c_0101_2 + c_0101_5^13 - 2*c_0101_5^12 - 5*c_0101_5^11 + 12*c_0101_5^10 + 9*c_0101_5^9 - 32*c_0101_5^8 - 3*c_0101_5^7 + 45*c_0101_5^6 - 10*c_0101_5^5 - 33*c_0101_5^4 + 13*c_0101_5^3 + 11*c_0101_5^2 - 4*c_0101_5 - 1, c_0101_5^18 - 3*c_0101_5^17 - 6*c_0101_5^16 + 26*c_0101_5^15 + 9*c_0101_5^14 - 102*c_0101_5^13 + 30*c_0101_5^12 + 229*c_0101_5^11 - 158*c_0101_5^10 - 311*c_0101_5^9 + 321*c_0101_5^8 + 246*c_0101_5^7 - 361*c_0101_5^6 - 94*c_0101_5^5 + 230*c_0101_5^4 + 2*c_0101_5^3 - 75*c_0101_5^2 + 6*c_0101_5 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB