Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3431813313] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s539 geometric_solution 4.95554224 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 0 1 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 0.397416907010 0.310502088904 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 1 0 0 -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 0.437530252794 1.220758633561 3 0 4 1 3201 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437530252794 1.220758633561 5 1 5 2 0132 0132 2310 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 1 0 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 0.242189158123 1.607969876884 4 4 1 2 1302 2031 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.404000676947 0.897165387262 3 3 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.422695678662 0.141977459466 ==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' : 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_0101_2']), 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_0']), '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_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_4']})} 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_1, c_0101_2, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 6378544/3008389*c_0110_2^12 - 55041662/3008389*c_0110_2^11 - 116645401/3008389*c_0110_2^10 + 8345833/3008389*c_0110_2^9 - 4281639/3008389*c_0110_2^8 + 3437839/3008389*c_0110_2^7 + 63253446/3008389*c_0110_2^6 + 46712289/3008389*c_0110_2^5 + 52297668/3008389*c_0110_2^4 - 28711983/3008389*c_0110_2^3 + 33935534/3008389*c_0110_2^2 + 26502003/3008389*c_0110_2 - 16267139/3008389, c_0011_0 - 1, c_0011_4 - 582528/3008389*c_0110_2^12 - 5426025/3008389*c_0110_2^11 - 14363121/3008389*c_0110_2^10 - 8523909/3008389*c_0110_2^9 - 2081964/3008389*c_0110_2^8 + 6270780/3008389*c_0110_2^7 + 6751545/3008389*c_0110_2^6 + 9885227/3008389*c_0110_2^5 + 10403672/3008389*c_0110_2^4 + 1298457/3008389*c_0110_2^3 + 1279902/3008389*c_0110_2^2 + 313083/3008389*c_0110_2 + 1394019/3008389, c_0101_1 + 2026936/3008389*c_0110_2^12 + 17868618/3008389*c_0110_2^11 + 39947475/3008389*c_0110_2^10 + 799443/3008389*c_0110_2^9 - 7477867/3008389*c_0110_2^8 - 1980890/3008389*c_0110_2^7 - 15319796/3008389*c_0110_2^6 - 15490063/3008389*c_0110_2^5 - 17797111/3008389*c_0110_2^4 + 12292962/3008389*c_0110_2^3 - 3043736/3008389*c_0110_2^2 - 8753765/3008389*c_0110_2 + 983151/3008389, c_0101_2 - 713706/3008389*c_0110_2^12 - 5607164/3008389*c_0110_2^11 - 8117874/3008389*c_0110_2^10 + 12474726/3008389*c_0110_2^9 + 1382841/3008389*c_0110_2^8 - 1753411/3008389*c_0110_2^7 + 5131549/3008389*c_0110_2^6 + 3884015/3008389*c_0110_2^5 + 2477619/3008389*c_0110_2^4 - 9822080/3008389*c_0110_2^3 + 6375878/3008389*c_0110_2^2 + 1536985/3008389*c_0110_2 - 3512157/3008389, c_0101_3 + 1820653/3008389*c_0110_2^12 + 15907710/3008389*c_0110_2^11 + 34211610/3008389*c_0110_2^10 - 5974654/3008389*c_0110_2^9 - 16879923/3008389*c_0110_2^8 - 5260167/3008389*c_0110_2^7 - 10981988/3008389*c_0110_2^6 - 11633924/3008389*c_0110_2^5 - 9606237/3008389*c_0110_2^4 + 17805797/3008389*c_0110_2^3 + 44721/3008389*c_0110_2^2 - 10084236/3008389*c_0110_2 + 648117/3008389, c_0110_2^13 + 9*c_0110_2^12 + 21*c_0110_2^11 + c_0110_2^10 - 11*c_0110_2^9 - 4*c_0110_2^8 - 8*c_0110_2^7 - 9*c_0110_2^6 - 7*c_0110_2^5 + 8*c_0110_2^4 + 3*c_0110_2^3 - 6*c_0110_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB