Magma V2.19-8 Tue Aug 20 2013 23:30:03 on localhost [Seed = 1713373247] Type ? for help. Type -D to quit. Loading file "L11a277__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a277 geometric_solution 7.88092508 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 1 0132 0132 0132 1023 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417549444140 0.560565937624 0 1 1 0 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.806812308341 0.711028469129 3 0 5 4 2310 0132 0132 0132 0 1 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 4 -4 0 -1 0 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 -0.090527628871 0.985897935782 6 7 2 0 0132 0132 3201 0132 0 0 0 1 0 -1 0 1 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 3 1 -4 0 0 0 0 0 0 0 0 9 -10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.090527628871 0.985897935782 5 8 2 7 0132 0132 0132 3120 0 1 1 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 0 0 0 0 0 0 0 0 -10 0 0 10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528086369912 0.722627893346 4 6 8 2 0132 1230 2103 0132 0 1 0 1 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 -3 -1 4 0 0 1 -1 1 0 0 -1 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845353704625 1.358253763743 3 8 5 7 0132 1230 3012 1023 1 0 1 0 0 0 0 0 0 0 -1 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 -1 1 0 0 0 3 -3 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845353704625 1.358253763743 4 3 8 6 3120 0132 0132 1023 0 1 1 0 0 1 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 -3 0 3 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528086369912 0.722627893346 5 4 6 7 2103 0132 3012 0132 0 1 0 1 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 1 -1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710202552622 0.404489296724 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_1001_8' : d['c_0011_3'], 's_2_8' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_8' : d['c_1001_0'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_5'], 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 11347134143567/18594784759552*c_1001_0^9 - 25980758071037/18594784759552*c_1001_0^8 - 73879997105013/4648696189888*c_1001_0^7 - 42980707204631/1162174047472*c_1001_0^6 - 896464434366701/18594784759552*c_1001_0^5 + 1165556000946665/18594784759552*c_1001_0^4 + 1395348145765279/18594784759552*c_1001_0^3 + 537802718796321/18594784759552*c_1001_0^2 - 944222154237551/18594784759552*c_1001_0 - 534763788508343/18594784759552, c_0011_0 - 1, c_0011_3 + 835190071/72635877967*c_1001_0^9 + 2888863510/72635877967*c_1001_0^8 + 24808185038/72635877967*c_1001_0^7 + 77728720873/72635877967*c_1001_0^6 + 146860734515/72635877967*c_1001_0^5 + 37264127047/72635877967*c_1001_0^4 - 131809556815/72635877967*c_1001_0^3 - 226299522033/72635877967*c_1001_0^2 - 1758320650/72635877967*c_1001_0 + 44810721889/72635877967, c_0011_4 - 4588165801/72635877967*c_1001_0^9 - 11275119502/72635877967*c_1001_0^8 - 122299300745/72635877967*c_1001_0^7 - 301621344863/72635877967*c_1001_0^6 - 438619636339/72635877967*c_1001_0^5 + 319579724088/72635877967*c_1001_0^4 + 498889069057/72635877967*c_1001_0^3 + 367403396697/72635877967*c_1001_0^2 - 77395391711/72635877967*c_1001_0 - 66134771935/72635877967, c_0101_0 + 835190071/72635877967*c_1001_0^9 + 2888863510/72635877967*c_1001_0^8 + 24808185038/72635877967*c_1001_0^7 + 77728720873/72635877967*c_1001_0^6 + 146860734515/72635877967*c_1001_0^5 + 37264127047/72635877967*c_1001_0^4 - 131809556815/72635877967*c_1001_0^3 - 226299522033/72635877967*c_1001_0^2 - 74394198617/72635877967*c_1001_0 + 44810721889/72635877967, c_0101_1 + 667943153/72635877967*c_1001_0^9 + 2092656290/72635877967*c_1001_0^8 + 19188083674/72635877967*c_1001_0^7 + 56511009762/72635877967*c_1001_0^6 + 99310201114/72635877967*c_1001_0^5 + 10372234428/72635877967*c_1001_0^4 - 115813214441/72635877967*c_1001_0^3 - 175550340636/72635877967*c_1001_0^2 - 77968742827/72635877967*c_1001_0 + 81729549832/72635877967, c_0101_2 - 1, c_0101_5 - 5002089196/72635877967*c_1001_0^9 - 13315664092/72635877967*c_1001_0^8 - 133838232488/72635877967*c_1001_0^7 - 350456362734/72635877967*c_1001_0^6 - 490833645304/72635877967*c_1001_0^5 + 400590710330/72635877967*c_1001_0^4 + 839638210027/72635877967*c_1001_0^3 + 407166644552/72635877967*c_1001_0^2 - 270314596762/72635877967*c_1001_0 - 204000117138/72635877967, c_0101_7 - 835190071/72635877967*c_1001_0^9 - 2888863510/72635877967*c_1001_0^8 - 24808185038/72635877967*c_1001_0^7 - 77728720873/72635877967*c_1001_0^6 - 146860734515/72635877967*c_1001_0^5 - 37264127047/72635877967*c_1001_0^4 + 131809556815/72635877967*c_1001_0^3 + 226299522033/72635877967*c_1001_0^2 + 1758320650/72635877967*c_1001_0 - 44810721889/72635877967, c_1001_0^10 + 3*c_1001_0^9 + 28*c_1001_0^8 + 80*c_1001_0^7 + 131*c_1001_0^6 - 23*c_1001_0^5 - 161*c_1001_0^4 - 159*c_1001_0^3 - 15*c_1001_0^2 + 41*c_1001_0 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB