Magma V2.19-8 Tue Aug 20 2013 23:44:17 on localhost [Seed = 2716320860] Type ? for help. Type -D to quit. Loading file "L14n25136__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25136 geometric_solution 9.63751442 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 0 0 1 2 1230 3012 0132 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 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 0.756206231559 0.489782579599 3 2 4 0 0132 3012 0132 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 0 0 0 0 0 0 0 0 1 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899940666473 0.567638056227 1 5 0 6 1230 0132 0132 0132 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 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 0 0 0.899940666473 0.567638056227 1 5 5 6 0132 3012 1230 3120 0 1 0 1 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346586634987 0.743946571741 6 7 8 1 3120 0132 0132 0132 1 1 0 1 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 -1 0 1 0 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528217658532 0.257794367545 3 2 7 3 1230 0132 0321 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346586634987 0.743946571741 3 9 2 4 3120 0132 0132 3120 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 0 0 0 0 0 0 1 -1 0 0 -1 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792391048555 0.419872937196 10 4 5 9 0132 0132 0321 0213 1 0 1 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 1 0 -1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137497930579 1.505024670516 10 9 10 4 2031 0213 3012 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 0 7 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811498880317 0.550858178739 10 6 8 7 3012 0132 0213 0213 1 1 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 -1 0 1 0 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.255411315812 1.074200513314 7 8 8 9 0132 1230 1302 1230 1 0 0 1 0 1 -1 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 -7 6 1 -1 0 1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.156424293335 0.572632432001 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_4'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_2']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_4'], 'c_1100_8' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0101_4']), 'c_1100_10' : d['c_0011_8'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_1001_5'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_4'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_1']})} 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_1, c_0011_10, c_0011_2, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 77108753/1834848*c_1001_5^9 - 46298731/611616*c_1001_5^8 + 47159649/203872*c_1001_5^7 + 10460851/39888*c_1001_5^6 - 285622117/917424*c_1001_5^5 + 71923109/152904*c_1001_5^4 + 10360009/917424*c_1001_5^3 - 649768309/1834848*c_1001_5^2 + 69506611/101936*c_1001_5 - 200493559/458712, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 + 1069/25484*c_1001_5^9 - 251/25484*c_1001_5^8 + 2109/25484*c_1001_5^7 + 182/277*c_1001_5^6 - 804/6371*c_1001_5^5 - 755/12742*c_1001_5^4 + 301/6371*c_1001_5^3 - 21759/25484*c_1001_5^2 + 9915/12742*c_1001_5 - 3364/6371, c_0011_2 - 1, c_0011_6 + 3007/25484*c_1001_5^9 - 7083/25484*c_1001_5^8 + 18293/25484*c_1001_5^7 + 281/554*c_1001_5^6 - 10200/6371*c_1001_5^5 + 22657/12742*c_1001_5^4 - 1126/6371*c_1001_5^3 - 22253/25484*c_1001_5^2 + 13352/6371*c_1001_5 - 9111/6371, c_0011_8 - 807/12742*c_1001_5^9 + 261/12742*c_1001_5^8 - 1693/6371*c_1001_5^7 - 224/277*c_1001_5^6 - 5159/12742*c_1001_5^5 - 13837/12742*c_1001_5^4 - 1785/12742*c_1001_5^3 + 665/6371*c_1001_5^2 - 18361/12742*c_1001_5 + 3011/6371, c_0101_0 + 137/12742*c_1001_5^9 + 416/6371*c_1001_5^8 - 881/6371*c_1001_5^7 + 305/554*c_1001_5^6 + 2005/6371*c_1001_5^5 - 6432/6371*c_1001_5^4 + 5137/6371*c_1001_5^3 + 6461/12742*c_1001_5^2 - 3925/12742*c_1001_5 + 5473/6371, c_0101_1 - c_1001_5, c_0101_4 + 137/12742*c_1001_5^9 + 416/6371*c_1001_5^8 - 881/6371*c_1001_5^7 + 305/554*c_1001_5^6 + 2005/6371*c_1001_5^5 - 6432/6371*c_1001_5^4 + 5137/6371*c_1001_5^3 + 6461/12742*c_1001_5^2 - 16667/12742*c_1001_5 + 5473/6371, c_1001_4 + 3007/25484*c_1001_5^9 - 7083/25484*c_1001_5^8 + 18293/25484*c_1001_5^7 + 281/554*c_1001_5^6 - 10200/6371*c_1001_5^5 + 22657/12742*c_1001_5^4 - 1126/6371*c_1001_5^3 - 47737/25484*c_1001_5^2 + 19723/6371*c_1001_5 - 9111/6371, c_1001_5^10 - 2*c_1001_5^9 + 6*c_1001_5^8 + 5*c_1001_5^7 - 8*c_1001_5^6 + 14*c_1001_5^5 - 2*c_1001_5^4 - 7*c_1001_5^3 + 19*c_1001_5^2 - 14*c_1001_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB