Magma V2.19-8 Tue Aug 20 2013 23:42:10 on localhost [Seed = 2244206803] Type ? for help. Type -D to quit. Loading file "L13a4225__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4225 geometric_solution 8.73592031 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3012 0132 1 1 1 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 0 0 0 0 0 0 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127161213369 0.796532996532 0 0 5 4 0132 1230 0132 0132 1 1 0 1 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 0 0 0 0 0 4 -4 4 -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625102813939 0.570454733627 4 0 6 4 0132 0132 0132 2031 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 0 0 0 0 0 0 0 -1 1 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 0.804558232102 1.224239789057 7 8 0 6 0132 0132 0132 3120 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 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 0.866355800313 0.447714723878 2 2 1 7 0132 1302 0132 0132 1 1 1 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 -1 0 1 1 0 4 -5 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625102813939 0.570454733627 7 9 9 1 3120 0132 2103 0132 1 1 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 0 0 0 0 0 0 0 5 0 -1 -4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615334558944 0.395009280854 3 8 9 2 3120 3012 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.612178375777 2.050828042801 3 9 4 5 0132 0321 0132 3120 1 1 1 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 0 0 0 0 0 -1 1 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 1.008064830418 0.303892838482 6 3 10 10 1230 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651456355455 0.377754199693 5 5 6 7 2103 0132 1023 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.150870192372 0.738792256079 10 8 10 8 2310 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.112808496138 0.299298205340 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_10' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_1001_7']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_1001_7']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : 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_9' : 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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0110_10' : negation(d['c_0101_10']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], '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_0101_9' : d['c_0011_3'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 224892286/2260079*c_0101_6^13 - 1033428278/2260079*c_0101_6^12 + 3766423013/6780237*c_0101_6^11 + 3870571775/6780237*c_0101_6^10 - 37139567225/20340711*c_0101_6^9 + 16151557315/20340711*c_0101_6^8 + 28988371825/20340711*c_0101_6^7 - 31231721053/20340711*c_0101_6^6 + 432625367/20340711*c_0101_6^5 + 3984501911/6780237*c_0101_6^4 - 6180415987/20340711*c_0101_6^3 + 221325804/2260079*c_0101_6^2 + 736202248/20340711*c_0101_6 - 129078738/2260079, c_0011_0 - 1, c_0011_10 + 456606/42643*c_0101_6^13 - 2486358/42643*c_0101_6^12 + 4908525/42643*c_0101_6^11 - 2459967/42643*c_0101_6^10 - 5638814/42643*c_0101_6^9 + 9922160/42643*c_0101_6^8 - 4204149/42643*c_0101_6^7 - 3656747/42643*c_0101_6^6 + 5156081/42643*c_0101_6^5 - 2273368/42643*c_0101_6^4 + 3679/42643*c_0101_6^3 + 619475/42643*c_0101_6^2 - 380279/42643*c_0101_6 + 91244/42643, c_0011_3 + 180342/42643*c_0101_6^13 - 719280/42643*c_0101_6^12 + 718602/42643*c_0101_6^11 + 850095/42643*c_0101_6^10 - 2053931/42643*c_0101_6^9 + 530619/42643*c_0101_6^8 + 1621230/42643*c_0101_6^7 - 1214422/42643*c_0101_6^6 - 302538/42643*c_0101_6^5 + 631315/42643*c_0101_6^4 - 177546/42643*c_0101_6^3 - 51734/42643*c_0101_6^2 + 106918/42643*c_0101_6 - 20393/42643, c_0011_5 - 389853/42643*c_0101_6^13 + 1692225/42643*c_0101_6^12 - 1904085/42643*c_0101_6^11 - 2081025/42643*c_0101_6^10 + 5990496/42643*c_0101_6^9 - 2332764/42643*c_0101_6^8 - 4426148/42643*c_0101_6^7 + 4306238/42643*c_0101_6^6 + 124613/42643*c_0101_6^5 - 1503657/42643*c_0101_6^4 + 625783/42643*c_0101_6^3 - 239136/42643*c_0101_6^2 - 44490/42643*c_0101_6 + 128998/42643, c_0011_6 - 10386/42643*c_0101_6^13 + 439767/42643*c_0101_6^12 - 2023716/42643*c_0101_6^11 + 3338652/42643*c_0101_6^10 - 689240/42643*c_0101_6^9 - 4682821/42643*c_0101_6^8 + 5787306/42643*c_0101_6^7 - 1230768/42643*c_0101_6^6 - 2507822/42643*c_0101_6^5 + 2418643/42643*c_0101_6^4 - 980481/42643*c_0101_6^3 + 49636/42643*c_0101_6^2 + 253961/42643*c_0101_6 - 104967/42643, c_0101_0 + 893493/42643*c_0101_6^13 - 3754314/42643*c_0101_6^12 + 3815079/42643*c_0101_6^11 + 5479125/42643*c_0101_6^10 - 13439384/42643*c_0101_6^9 + 3903205/42643*c_0101_6^8 + 11215469/42643*c_0101_6^7 - 9864053/42643*c_0101_6^6 - 707471/42643*c_0101_6^5 + 4062532/42643*c_0101_6^4 - 2029018/42643*c_0101_6^3 + 531176/42643*c_0101_6^2 + 384356/42643*c_0101_6 - 318224/42643, c_0101_1 - 1, c_0101_10 + 134559/42643*c_0101_6^13 - 865611/42643*c_0101_6^12 + 2135406/42643*c_0101_6^11 - 2034075/42643*c_0101_6^10 - 975415/42643*c_0101_6^9 + 4168447/42643*c_0101_6^8 - 3539920/42643*c_0101_6^7 + 143884/42643*c_0101_6^6 + 1870890/42643*c_0101_6^5 - 1564632/42643*c_0101_6^4 + 671794/42643*c_0101_6^3 - 89011/42643*c_0101_6^2 - 127260/42643*c_0101_6 + 64420/42643, c_0101_2 + c_0101_6, c_0101_6^14 - 5*c_0101_6^13 + 23/3*c_0101_6^12 + 8/3*c_0101_6^11 - 182/9*c_0101_6^10 + 154/9*c_0101_6^9 + 79/9*c_0101_6^8 - 196/9*c_0101_6^7 + 80/9*c_0101_6^6 + 5*c_0101_6^5 - 55/9*c_0101_6^4 + 8/3*c_0101_6^3 - 2/9*c_0101_6^2 - 2/3*c_0101_6 + 1/3, c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB