Magma V2.19-8 Tue Aug 20 2013 23:38:25 on localhost [Seed = 4256930246] Type ? for help. Type -D to quit. Loading file "K14n18079__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18079 geometric_solution 8.15323576 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.099864384438 1.780569080562 0 2 6 5 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.267951601243 0.580461699671 4 0 1 6 0213 0132 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.412690073583 0.623097480849 7 8 7 0 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.283849632338 0.557652731846 2 9 0 8 0213 0132 0132 2310 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 0 0 1 -24 0 23 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068255068413 0.797048431247 7 7 1 9 2103 0321 0132 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 0.092777838002 2.617108212835 2 8 9 1 3012 0213 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.732048398757 0.580461699671 3 3 5 5 0132 3201 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673565907059 0.278530655427 4 3 6 9 3201 0132 0213 2310 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 1 0 -1 -23 0 0 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.099864384438 1.780569080562 8 4 6 5 3201 0132 1023 1023 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 1 -1 0 0 -23 24 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267951601243 0.580461699671 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : negation(d['c_0110_9']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_6'], 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0110_9']), 's_3_1' : 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_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' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0011_6'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_6, c_0110_5, c_0110_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3*c_1100_1^3 + 6*c_1100_1^2 + 2*c_1100_1 - 2, c_0011_0 - 1, c_0011_3 - c_1100_1^3 + 2*c_1100_1^2 - c_1100_1 + 2, c_0011_4 + c_1100_1^3 - 2*c_1100_1^2 + c_1100_1 - 2, c_0011_5 + c_1100_1^3 - 3*c_1100_1^2 + 3*c_1100_1 - 3, c_0011_6 - c_1100_1^3 + 3*c_1100_1^2 - 2*c_1100_1 + 2, c_0101_0 + c_1100_1^3 - 3*c_1100_1^2 + 2*c_1100_1 - 1, c_0101_6 + c_1100_1^3 - 2*c_1100_1^2 + c_1100_1 - 1, c_0110_5 - c_1100_1^3 + 3*c_1100_1^2 - 2*c_1100_1 + 2, c_0110_9 - c_1100_1^3 + 3*c_1100_1^2 - 2*c_1100_1 + 3, c_1100_1^4 - 3*c_1100_1^3 + 3*c_1100_1^2 - 3*c_1100_1 + 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_6, c_0110_5, c_0110_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 23882933879/94350118*c_1100_1^9 + 8879074900/47175059*c_1100_1^8 - 202851092966/47175059*c_1100_1^7 + 235076596443/47175059*c_1100_1^6 - 1050615591367/47175059*c_1100_1^5 + 1091441542091/47175059*c_1100_1^4 - 3121956585079/94350118*c_1100_1^3 + 1077130935427/47175059*c_1100_1^2 + 588447726001/188700236*c_1100_1 - 333826164939/188700236, c_0011_0 - 1, c_0011_3 - 76479890/47175059*c_1100_1^9 - 2765486/47175059*c_1100_1^8 - 1305848120/47175059*c_1100_1^7 + 487911956/47175059*c_1100_1^6 - 6421905982/47175059*c_1100_1^5 + 2025444574/47175059*c_1100_1^4 - 8756000732/47175059*c_1100_1^3 + 232859878/47175059*c_1100_1^2 + 688058620/47175059*c_1100_1 + 12405269/47175059, c_0011_4 - 17325914/47175059*c_1100_1^9 + 744464/47175059*c_1100_1^8 - 296219964/47175059*c_1100_1^7 + 133061248/47175059*c_1100_1^6 - 1470061446/47175059*c_1100_1^5 + 563842842/47175059*c_1100_1^4 - 2036414622/47175059*c_1100_1^3 + 158948802/47175059*c_1100_1^2 + 158413280/47175059*c_1100_1 - 35849543/47175059, c_0011_5 - 51207560/47175059*c_1100_1^9 - 24502148/47175059*c_1100_1^8 - 875527398/47175059*c_1100_1^7 - 58735308/47175059*c_1100_1^6 - 4161499268/47175059*c_1100_1^5 - 526702404/47175059*c_1100_1^4 - 5298915552/47175059*c_1100_1^3 - 2390719066/47175059*c_1100_1^2 + 502555593/47175059*c_1100_1 + 187215000/47175059, c_0011_6 - 3509950/47175059*c_1100_1^9 - 4010564/47175059*c_1100_1^8 - 59227124/47175059*c_1100_1^7 - 42064528/47175059*c_1100_1^6 - 253863572/47175059*c_1100_1^5 - 212648750/47175059*c_1100_1^4 - 221858804/47175059*c_1100_1^3 - 387241288/47175059*c_1100_1^2 + 172181918/47175059*c_1100_1 + 29576988/47175059, c_0101_0 + 19141082/47175059*c_1100_1^9 + 13315350/47175059*c_1100_1^8 + 325095956/47175059*c_1100_1^7 + 95598212/47175059*c_1100_1^6 + 1493110836/47175059*c_1100_1^5 + 600532768/47175059*c_1100_1^4 + 1705911874/47175059*c_1100_1^3 + 1535918174/47175059*c_1100_1^2 - 385032939/47175059*c_1100_1 - 117510776/47175059, c_0101_6 + 17325914/47175059*c_1100_1^9 - 744464/47175059*c_1100_1^8 + 296219964/47175059*c_1100_1^7 - 133061248/47175059*c_1100_1^6 + 1470061446/47175059*c_1100_1^5 - 563842842/47175059*c_1100_1^4 + 2036414622/47175059*c_1100_1^3 - 158948802/47175059*c_1100_1^2 - 158413280/47175059*c_1100_1 + 35849543/47175059, c_0110_5 - 3509950/47175059*c_1100_1^9 - 4010564/47175059*c_1100_1^8 - 59227124/47175059*c_1100_1^7 - 42064528/47175059*c_1100_1^6 - 253863572/47175059*c_1100_1^5 - 212648750/47175059*c_1100_1^4 - 221858804/47175059*c_1100_1^3 - 387241288/47175059*c_1100_1^2 + 172181918/47175059*c_1100_1 + 29576988/47175059, c_0110_9 - 3509950/47175059*c_1100_1^9 - 4010564/47175059*c_1100_1^8 - 59227124/47175059*c_1100_1^7 - 42064528/47175059*c_1100_1^6 - 253863572/47175059*c_1100_1^5 - 212648750/47175059*c_1100_1^4 - 221858804/47175059*c_1100_1^3 - 387241288/47175059*c_1100_1^2 + 125006859/47175059*c_1100_1 + 29576988/47175059, c_1100_1^10 + 17*c_1100_1^8 - 7*c_1100_1^7 + 83*c_1100_1^6 - 29*c_1100_1^5 + 110*c_1100_1^4 - 5*c_1100_1^3 - 31/2*c_1100_1^2 + 1/2*c_1100_1 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB