Magma V2.19-8 Tue Aug 20 2013 16:14:58 on localhost [Seed = 964207906] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s946 geometric_solution 5.89285140 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 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 -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 0.807553856081 0.988895375034 0 3 5 4 0132 0132 0132 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 0.623683939501 0.791765318082 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623683939501 0.791765318082 3 1 3 2 2031 0132 1302 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 0.209007727305 0.955280680218 2 4 1 4 2310 1302 0132 2031 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803657417851 0.719029393383 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.520643636194 0.599897283077 ==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' : negation(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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(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_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 5162/159*c_0101_2*c_0101_5^9 + 18763/159*c_0101_2*c_0101_5^8 + 12611/53*c_0101_2*c_0101_5^7 + 50209/159*c_0101_2*c_0101_5^6 - 24119/159*c_0101_2*c_0101_5^5 - 37452/53*c_0101_2*c_0101_5^4 - 30551/159*c_0101_2*c_0101_5^3 + 55937/159*c_0101_2*c_0101_5^2 + 8160/53*c_0101_2*c_0101_5 - 9226/159*c_0101_2, c_0011_0 - 1, c_0011_4 + 65/53*c_0101_2*c_0101_5^9 + 258/53*c_0101_2*c_0101_5^8 + 593/53*c_0101_2*c_0101_5^7 + 934/53*c_0101_2*c_0101_5^6 + 240/53*c_0101_2*c_0101_5^5 - 982/53*c_0101_2*c_0101_5^4 - 687/53*c_0101_2*c_0101_5^3 + 164/53*c_0101_2*c_0101_5^2 + 254/53*c_0101_2*c_0101_5 - 25/53*c_0101_2, c_0101_0 - 1/53*c_0101_2*c_0101_5^9 + 5/53*c_0101_2*c_0101_5^8 + 8/53*c_0101_2*c_0101_5^7 - 16/53*c_0101_2*c_0101_5^6 - 73/53*c_0101_2*c_0101_5^5 - 298/53*c_0101_2*c_0101_5^4 - 327/53*c_0101_2*c_0101_5^3 + 110/53*c_0101_2*c_0101_5^2 + 182/53*c_0101_2*c_0101_5 + 33/53*c_0101_2, c_0101_1 - 73/53*c_0101_5^9 - 271/53*c_0101_5^8 - 582/53*c_0101_5^7 - 850/53*c_0101_5^6 + 77/53*c_0101_5^5 + 1301/53*c_0101_5^4 + 562/53*c_0101_5^3 - 344/53*c_0101_5^2 - 282/53*c_0101_5 + 24/53, c_0101_2^2 + c_0101_5 - 1, c_0101_5^10 + 3*c_0101_5^9 + 5*c_0101_5^8 + 5*c_0101_5^7 - 11*c_0101_5^6 - 19*c_0101_5^5 + 8*c_0101_5^4 + 15*c_0101_5^3 - 2*c_0101_5^2 - 5*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB