Magma V2.19-8 Wed Aug 21 2013 01:02:45 on localhost [Seed = 104865251] Type ? for help. Type -D to quit. Loading file "L14n15640__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15640 geometric_solution 12.16575198 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -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 0.586174162761 0.737261041078 0 3 6 5 0132 3201 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 -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 0.348532910430 0.734244988513 7 0 9 8 0132 0132 0132 0132 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 0 0 0 0 1 -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 1.472392195799 1.111497292054 9 10 1 0 1230 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414934419397 0.877740486795 11 6 0 7 0132 0132 0132 3201 1 1 0 1 0 0 0 0 -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 1 -1 0 -1 0 0 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586174162761 0.737261041078 12 8 1 11 0132 1023 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 1 -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 0.586174162761 0.737261041078 12 4 8 1 1023 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -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 -1 0 1 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 0.348532910430 0.734244988513 2 4 10 12 0132 2310 1230 3012 0 1 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 0 0 0 0 0 0 0 0 0 -1 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 0.637914076999 0.518547639325 5 10 2 6 1023 0213 0132 0132 1 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 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 0.586174162761 0.737261041078 12 3 11 2 3012 3012 0132 0132 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 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 0.297084612030 0.403874220002 11 3 8 7 1302 0132 0213 3012 1 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 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 0.056097198900 0.767279774676 4 10 5 9 0132 2031 0132 0132 1 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 0 0 0 0 0 0 0 1 0 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 1.472392195799 1.111497292054 5 6 7 9 0132 1023 1230 1230 1 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 0 0 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 0.414934419397 0.877740486795 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_1001_6']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_1'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1001_6'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1001_6'], 'c_1100_8' : d['c_1100_1'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_2'], 's_1_7' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0101_6']), 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_9, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0101_7, c_1001_0, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 7787902/552773*c_1100_1^7 - 12209644/552773*c_1100_1^6 - 121843641/552773*c_1100_1^5 + 65053049/42521*c_1100_1^4 - 1660476614/552773*c_1100_1^3 + 1411739820/552773*c_1100_1^2 - 476363300/552773*c_1100_1 + 13720843/552773, c_0011_0 - 1, c_0011_10 - 18620/42521*c_1100_1^7 - 38240/42521*c_1100_1^6 - 316625/42521*c_1100_1^5 + 1854730/42521*c_1100_1^4 - 3178663/42521*c_1100_1^3 + 2513195/42521*c_1100_1^2 - 1051117/42521*c_1100_1 + 224868/42521, c_0011_11 + 1, c_0011_9 - 35780/127563*c_1100_1^7 - 27356/42521*c_1100_1^6 - 209004/42521*c_1100_1^5 + 1138288/42521*c_1100_1^4 - 1760411/42521*c_1100_1^3 + 1136915/42521*c_1100_1^2 - 377604/42521*c_1100_1 + 293671/127563, c_0101_1 + 41024/127563*c_1100_1^7 + 26607/42521*c_1100_1^6 + 230918/42521*c_1100_1^5 - 1380092/42521*c_1100_1^4 + 2521514/42521*c_1100_1^3 - 2152110/42521*c_1100_1^2 + 927350/42521*c_1100_1 - 550168/127563, c_0101_11 + 8209/127563*c_1100_1^7 + 12166/42521*c_1100_1^6 + 64095/42521*c_1100_1^5 - 148435/42521*c_1100_1^4 - 101440/42521*c_1100_1^3 + 422031/42521*c_1100_1^2 - 379619/42521*c_1100_1 + 401779/127563, c_0101_2 - 18620/42521*c_1100_1^7 - 38240/42521*c_1100_1^6 - 316625/42521*c_1100_1^5 + 1854730/42521*c_1100_1^4 - 3178663/42521*c_1100_1^3 + 2513195/42521*c_1100_1^2 - 1051117/42521*c_1100_1 + 224868/42521, c_0101_3 + 41024/127563*c_1100_1^7 + 26607/42521*c_1100_1^6 + 230918/42521*c_1100_1^5 - 1380092/42521*c_1100_1^4 + 2521514/42521*c_1100_1^3 - 2152110/42521*c_1100_1^2 + 927350/42521*c_1100_1 - 550168/127563, c_0101_6 + 5927/42521*c_1100_1^7 + 20302/42521*c_1100_1^6 + 123588/42521*c_1100_1^5 - 436036/42521*c_1100_1^4 + 314118/42521*c_1100_1^3 + 35832/42521*c_1100_1^2 - 70664/42521*c_1100_1 + 21584/42521, c_0101_7 - 5927/42521*c_1100_1^7 - 20302/42521*c_1100_1^6 - 123588/42521*c_1100_1^5 + 436036/42521*c_1100_1^4 - 314118/42521*c_1100_1^3 - 35832/42521*c_1100_1^2 + 70664/42521*c_1100_1 - 21584/42521, c_1001_0 - 8209/127563*c_1100_1^7 - 12166/42521*c_1100_1^6 - 64095/42521*c_1100_1^5 + 148435/42521*c_1100_1^4 + 101440/42521*c_1100_1^3 - 422031/42521*c_1100_1^2 + 379619/42521*c_1100_1 - 401779/127563, c_1001_6 - 35780/127563*c_1100_1^7 - 27356/42521*c_1100_1^6 - 209004/42521*c_1100_1^5 + 1138288/42521*c_1100_1^4 - 1760411/42521*c_1100_1^3 + 1136915/42521*c_1100_1^2 - 377604/42521*c_1100_1 + 293671/127563, c_1100_1^8 + c_1100_1^7 + 15*c_1100_1^6 - 117*c_1100_1^5 + 279*c_1100_1^4 - 327*c_1100_1^3 + 210*c_1100_1^2 - 74*c_1100_1 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB