Magma V2.19-8 Wed Aug 21 2013 00:01:56 on localhost [Seed = 172778410] Type ? for help. Type -D to quit. Loading file "L14n58440__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58440 geometric_solution 10.44344023 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 0 0 2 0 0 -1 1 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 -1 -4 5 1 0 -1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413725553946 0.710392049198 0 2 6 5 0132 0213 0132 0132 2 0 2 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 1 0 -1 -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 1.056127785928 0.517426987621 5 0 1 5 3201 0132 0213 2031 2 2 2 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518162618810 0.536931138824 7 8 9 0 0132 0132 0132 0132 2 0 2 2 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 -4 0 4 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 0.137316402802 0.686616103544 10 9 0 10 0132 3201 0132 3201 2 0 2 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223424389191 0.945825796771 6 2 1 2 2103 1302 0132 2310 2 0 2 2 0 0 0 0 0 0 0 0 0 0 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 -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 0.925787270591 1.031642692977 7 9 5 1 2103 3012 2103 0132 2 0 0 2 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 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 0.413725553946 0.710392049198 3 10 6 10 0132 1230 2103 2103 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518527318736 0.631537364249 11 3 11 11 0132 0132 3120 2103 2 1 2 2 0 1 0 -1 0 0 1 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 -1 0 3 -2 -5 0 0 5 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.719932466044 1.400407198044 6 11 4 3 1230 2103 2310 0132 2 0 2 2 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 0 1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709639445643 0.564807158350 4 4 7 7 0132 2310 3012 2103 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.763448140661 1.001398511807 8 9 8 8 0132 2103 3120 2103 2 1 2 2 0 0 1 -1 0 0 -1 1 -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 0 5 -5 1 0 -3 2 -4 0 0 4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.719932466044 1.400407198044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_0110_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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_9' : negation(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' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 353247117773162586657/6564657180855649435648*c_1001_3^7 - 5703117124705722211513/6564657180855649435648*c_1001_3^6 - 35739960872898417022491/6564657180855649435648*c_1001_3^5 - 64147700148657172767917/3282328590427824717824*c_1001_3^4 - 256776235509439527787833/1641164295213912358912*c_1001_3^3 - 25980826643116979826901/102572768450869522432*c_1001_3^2 - 33271240238278193067933/410291073803478089728*c_1001_3 - 36113850068250872629221/205145536901739044864, c_0011_0 - 1, c_0011_10 + 1708344939/7921920138424*c_1001_3^7 + 58414204795/15843840276848*c_1001_3^6 + 396908439733/15843840276848*c_1001_3^5 + 1552121481765/15843840276848*c_1001_3^4 + 692768515396/990240017303*c_1001_3^3 + 6567372834951/3960960069212*c_1001_3^2 + 2164435756627/1980480034606*c_1001_3 + 825573548019/990240017303, c_0011_11 - 4652072407/15843840276848*c_1001_3^7 - 36717394129/7921920138424*c_1001_3^6 - 55632145525/1980480034606*c_1001_3^5 - 1537867787931/15843840276848*c_1001_3^4 - 6525253973615/7921920138424*c_1001_3^3 - 2218169234537/1980480034606*c_1001_3^2 - 1679816172635/1980480034606*c_1001_3 - 140166753788/990240017303, c_0011_5 + 4652072407/15843840276848*c_1001_3^7 + 36717394129/7921920138424*c_1001_3^6 + 55632145525/1980480034606*c_1001_3^5 + 1537867787931/15843840276848*c_1001_3^4 + 6525253973615/7921920138424*c_1001_3^3 + 2218169234537/1980480034606*c_1001_3^2 - 300663861971/1980480034606*c_1001_3 + 140166753788/990240017303, c_0011_6 + 1708344939/7921920138424*c_1001_3^7 + 58414204795/15843840276848*c_1001_3^6 + 396908439733/15843840276848*c_1001_3^5 + 1552121481765/15843840276848*c_1001_3^4 + 692768515396/990240017303*c_1001_3^3 + 6567372834951/3960960069212*c_1001_3^2 + 2164435756627/1980480034606*c_1001_3 + 825573548019/990240017303, c_0101_0 + 2221296837/31687680553696*c_1001_3^7 + 33885265949/31687680553696*c_1001_3^6 + 204173935435/31687680553696*c_1001_3^5 + 384141730167/15843840276848*c_1001_3^4 + 825290505257/3960960069212*c_1001_3^3 + 231747204050/990240017303*c_1001_3^2 + 1766016852271/1980480034606*c_1001_3 + 1014685511137/990240017303, c_0101_1 - 1, c_0101_10 + 7402933285/31687680553696*c_1001_3^7 + 131488887273/31687680553696*c_1001_3^6 + 928934049771/31687680553696*c_1001_3^5 + 1851804155391/15843840276848*c_1001_3^4 + 6151170654845/7921920138424*c_1001_3^3 + 1972393993426/990240017303*c_1001_3^2 + 1816829480873/1980480034606*c_1001_3 + 625484983177/990240017303, c_0101_11 - 1, c_0101_9 - 2221296837/31687680553696*c_1001_3^7 - 33885265949/31687680553696*c_1001_3^6 - 204173935435/31687680553696*c_1001_3^5 - 384141730167/15843840276848*c_1001_3^4 - 825290505257/3960960069212*c_1001_3^3 - 231747204050/990240017303*c_1001_3^2 - 1766016852271/1980480034606*c_1001_3 - 1014685511137/990240017303, c_0110_2 + 1235382529/15843840276848*c_1001_3^7 + 15020583463/15843840276848*c_1001_3^6 + 48148724467/15843840276848*c_1001_3^5 - 7126846917/7921920138424*c_1001_3^4 + 983105850447/7921920138424*c_1001_3^3 - 2131034365877/3960960069212*c_1001_3^2 - 1232549809299/990240017303*c_1001_3 + 304833223072/990240017303, c_1001_3^8 + 17*c_1001_3^7 + 115*c_1001_3^6 + 450*c_1001_3^5 + 3220*c_1001_3^4 + 7200*c_1001_3^3 + 5584*c_1001_3^2 + 4640*c_1001_3 + 2816 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB