Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 2598045439] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s888 geometric_solution 5.59638839 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1230 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 1 0 -1 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 0.237360265499 0.637036918388 0 4 4 5 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0.783307147556 1.148305902736 3 0 4 0 1230 0132 2103 3012 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 -1 0 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 0.772343926983 0.645142880607 5 2 0 5 1302 3012 0132 0213 0 0 0 0 0 -1 0 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 -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 0.131425738407 1.814292613337 2 1 1 5 2103 0132 3120 2310 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 0 0 0 0 0 0 0 0.783307147556 1.148305902736 4 3 1 3 3201 2031 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000101117113 1.156883003777 ==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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_4' : negation(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' : negation(d['1']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_3']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0110_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 25601/2984*c_0110_3^10 - 58995/1492*c_0110_3^9 - 37873/2984*c_0110_3^8 + 25704/373*c_0110_3^7 + 15071/1492*c_0110_3^6 - 42316/373*c_0110_3^5 - 28841/373*c_0110_3^4 + 255905/2984*c_0110_3^3 + 51495/1492*c_0110_3^2 - 85035/2984*c_0110_3 - 25087/2984, c_0011_0 - 1, c_0011_3 + 703/373*c_0110_3^10 + 3050/373*c_0110_3^9 + 151/373*c_0110_3^8 - 6082/373*c_0110_3^7 + 283/373*c_0110_3^6 + 9528/373*c_0110_3^5 + 4231/373*c_0110_3^4 - 8881/373*c_0110_3^3 - 1796/373*c_0110_3^2 + 2386/373*c_0110_3 + 535/373, c_0011_5 + 259/373*c_0110_3^10 + 947/373*c_0110_3^9 - 710/373*c_0110_3^8 - 2280/373*c_0110_3^7 + 1557/373*c_0110_3^6 + 3314/373*c_0110_3^5 - 424/373*c_0110_3^4 - 4175/373*c_0110_3^3 + 1007/373*c_0110_3^2 + 1095/373*c_0110_3 - 117/373, c_0101_0 + 376/373*c_0110_3^10 + 1791/373*c_0110_3^9 + 588/373*c_0110_3^8 - 4043/373*c_0110_3^7 - 1425/373*c_0110_3^6 + 6509/373*c_0110_3^5 + 4762/373*c_0110_3^4 - 5652/373*c_0110_3^3 - 4689/373*c_0110_3^2 + 2219/373*c_0110_3 + 1446/373, c_0101_2 + 259/373*c_0110_3^10 + 947/373*c_0110_3^9 - 710/373*c_0110_3^8 - 2280/373*c_0110_3^7 + 1557/373*c_0110_3^6 + 3314/373*c_0110_3^5 - 424/373*c_0110_3^4 - 4175/373*c_0110_3^3 + 1007/373*c_0110_3^2 + 1095/373*c_0110_3 - 117/373, c_0110_3^11 + 5*c_0110_3^10 + 3*c_0110_3^9 - 9*c_0110_3^8 - 6*c_0110_3^7 + 14*c_0110_3^6 + 16*c_0110_3^5 - 9*c_0110_3^4 - 13*c_0110_3^3 + c_0110_3^2 + 4*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB