Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 1966401604] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2809 geometric_solution 6.03626563 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 1 -1 0 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 -1 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 0.888479927886 0.634493996437 0 4 3 5 0132 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131956778558 0.884164100537 0 0 2 2 2310 0132 1230 3012 0 0 0 0 0 -1 1 0 1 0 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 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 1.649878030565 0.409540620312 1 5 0 6 2310 1023 0132 0132 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 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 0.131956778558 0.884164100537 6 1 6 6 3201 0132 0213 1230 0 1 0 0 0 0 0 0 -1 0 1 0 1 0 0 -1 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 -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 0.439589535078 0.651381424098 3 5 1 5 1023 2310 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 1 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 -1 0 0 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.165119607180 1.106368543991 4 4 3 4 3012 0213 0132 2310 0 0 1 0 0 0 1 -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 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 0.439589535078 0.651381424098 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_1'], '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_3'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_5'], '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_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 192978/531451*c_0110_5^7 - 1190245/531451*c_0110_5^6 - 53297173/531451*c_0110_5^5 + 123010514/531451*c_0110_5^4 - 90609896/531451*c_0110_5^3 + 10372578/531451*c_0110_5^2 + 71415020/531451*c_0110_5 - 28993665/531451, c_0011_0 - 1, c_0011_3 + 72491/531451*c_0110_5^7 - 1589591/531451*c_0110_5^6 + 4238477/531451*c_0110_5^5 - 4025512/531451*c_0110_5^4 + 628493/531451*c_0110_5^3 + 2054501/531451*c_0110_5^2 - 1401686/531451*c_0110_5 - 96267/531451, c_0011_6 - 1, c_0101_0 + 119094/531451*c_0110_5^7 - 2573465/531451*c_0110_5^6 + 6161766/531451*c_0110_5^5 - 5103257/531451*c_0110_5^4 + 708665/531451*c_0110_5^3 + 3652992/531451*c_0110_5^2 - 2386686/531451*c_0110_5 - 215361/531451, c_0101_1 + c_0110_5 - 1, c_0101_2 + 110069/531451*c_0110_5^7 - 2359325/531451*c_0110_5^6 + 5309242/531451*c_0110_5^5 - 4282320/531451*c_0110_5^4 + 431844/531451*c_0110_5^3 + 3202961/531451*c_0110_5^2 - 1816598/531451*c_0110_5 + 60821/531451, c_0110_5^8 - 22*c_0110_5^7 + 60*c_0110_5^6 - 59*c_0110_5^5 + 15*c_0110_5^4 + 30*c_0110_5^3 - 29*c_0110_5^2 + 2*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB