Magma V2.19-8 Tue Aug 20 2013 23:52:29 on localhost [Seed = 3616652531] Type ? for help. Type -D to quit. Loading file "L13n2744__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2744 geometric_solution 11.69911098 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 1 0 -2 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 -1 0 1 -1 0 3 -2 1 0 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687503974393 0.882110539720 0 5 7 6 0132 0132 0132 0132 1 0 0 1 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 0 0 0 0 0 -1 1 0 1 0 0 -1 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735982843299 0.567371763208 7 0 9 8 0132 0132 0132 0132 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 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 0.461555839710 0.977186240439 8 10 9 0 0213 0132 0321 0132 1 0 0 0 0 0 0 0 -1 0 -1 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 2 0 1 -3 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641171128515 0.658573983356 9 11 0 5 0132 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 -1 1 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 -1 1 0 0 2 -2 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735982843299 0.567371763208 8 1 4 10 1302 0132 0132 1302 1 0 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 -1 0 0 0 2 -2 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687503974393 0.882110539720 8 10 1 7 3201 1302 0132 0321 1 0 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 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 0.836545162880 0.765636232127 2 6 11 1 0132 0321 2103 0132 1 0 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 1 -1 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 0.836766468578 0.934768478389 3 5 2 6 0213 2031 0132 2310 1 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 -1 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 0 0 0 0.241056027489 0.779543452429 4 11 3 2 0132 0321 0321 0132 1 0 1 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.836545162880 0.765636232127 11 3 5 6 2031 0132 2031 2031 1 1 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 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604807542082 0.836684533003 7 4 10 9 2103 0132 1302 0321 1 0 1 0 0 0 0 0 0 0 0 0 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 0 0 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 0.836766468578 0.934768478389 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_5' : d['c_0110_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), '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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0110_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_0'], '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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_1'], '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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_10, c_0110_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1447894065725895573/698971895681255795*c_1001_2^5 + 1670774191458207811/221456442196041440*c_1001_2^4 + 3417297233226760110091/22367100661800185440*c_1001_2^3 + 1131114477650950348171/5591775165450046360*c_1001_2^2 + 331090676200042247307/5591775165450046360*c_1001_2 + 9336526673759205501/283127856478483360, c_0011_0 - 1, c_0011_10 + 129041538830160/3409619003323199*c_1001_2^5 + 3746706220515/67517207986598*c_1001_2^4 + 18074374754972571/6819238006646398*c_1001_2^3 - 6819093961557413/3409619003323199*c_1001_2^2 + 14270189876594044/3409619003323199*c_1001_2 + 963316086663781/6819238006646398, c_0011_11 + 647046189312/43159734219281*c_1001_2^5 + 8785160344/427324101181*c_1001_2^4 + 45008967339613/43159734219281*c_1001_2^3 - 39416235660370/43159734219281*c_1001_2^2 + 70727471887770/43159734219281*c_1001_2 - 11600051848327/43159734219281, c_0011_6 + 537325259488/43159734219281*c_1001_2^5 + 11195773873/427324101181*c_1001_2^4 + 38034800113423/43159734219281*c_1001_2^3 - 2468237113326/43159734219281*c_1001_2^2 + 47348669922940/43159734219281*c_1001_2 + 50929363008901/43159734219281, c_0011_8 + 122383866445616/3409619003323199*c_1001_2^5 + 4972947762357/67517207986598*c_1001_2^4 + 17335397514332295/6819238006646398*c_1001_2^3 - 1508455663985220/3409619003323199*c_1001_2^2 + 9474809517429438/3409619003323199*c_1001_2 + 10265721117763597/6819238006646398, c_0101_0 - 1, c_0101_1 - 734193229088/43159734219281*c_1001_2^5 - 16467293199/427324101181*c_1001_2^4 - 52563123421705/43159734219281*c_1001_2^3 - 2845548050562/43159734219281*c_1001_2^2 - 54835583912857/43159734219281*c_1001_2 - 16714332615783/43159734219281, c_0101_10 + 329081102848/43159734219281*c_1001_2^5 + 5162002000/427324101181*c_1001_2^4 + 22669583422001/43159734219281*c_1001_2^3 - 17232847315400/43159734219281*c_1001_2^2 + 536294671246/43159734219281*c_1001_2 + 10603882124476/43159734219281, c_0110_10 - 673815599296/43159734219281*c_1001_2^5 - 10706256842/427324101181*c_1001_2^4 - 48037399184700/43159734219281*c_1001_2^3 + 27961297353567/43159734219281*c_1001_2^2 - 112773679814703/43159734219281*c_1001_2 + 2781330023401/43159734219281, c_0110_5 + 378342716256/43159734219281*c_1001_2^5 + 9384194701/427324101181*c_1001_2^4 + 26865108154617/43159734219281*c_1001_2^3 + 8623457059159/43159734219281*c_1001_2^2 + 12253081314678/43159734219281*c_1001_2 + 40451462885662/43159734219281, c_1001_1 + 136319411168/43159734219281*c_1001_2^5 + 6095699817/427324101181*c_1001_2^4 + 10622793003617/43159734219281*c_1001_2^3 + 19062371918317/43159734219281*c_1001_2^2 + 40874383705535/43159734219281*c_1001_2 + 24519022725646/43159734219281, c_1001_2^6 + 51/32*c_1001_2^5 + 2253/32*c_1001_2^4 - 695/16*c_1001_2^3 + 957/8*c_1001_2^2 + 191/32*c_1001_2 + 395/16 ], 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_10, c_0110_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 50351517/321536*c_1001_2^6 - 35197083/321536*c_1001_2^5 + 191408817/321536*c_1001_2^4 + 22228469/80384*c_1001_2^3 + 25258225/321536*c_1001_2^2 + 200744983/321536*c_1001_2 + 172551889/321536, c_0011_0 - 1, c_0011_10 - 7425/5024*c_1001_2^6 + 8739/5024*c_1001_2^5 - 31845/5024*c_1001_2^4 + 341/628*c_1001_2^3 - 5425/5024*c_1001_2^2 - 24667/5024*c_1001_2 - 12057/5024, c_0011_11 - 693/1256*c_1001_2^6 + 1311/2512*c_1001_2^5 - 3035/1256*c_1001_2^4 - 79/2512*c_1001_2^3 - 2635/2512*c_1001_2^2 - 1395/628*c_1001_2 - 2169/2512, c_0011_6 - 3789/5024*c_1001_2^6 + 3795/5024*c_1001_2^5 - 16753/5024*c_1001_2^4 + 325/1256*c_1001_2^3 - 5033/5024*c_1001_2^2 - 9319/5024*c_1001_2 - 5849/5024, c_0011_8 + 1, c_0101_0 - 1, c_0101_1 + 2043/5024*c_1001_2^6 - 1281/5024*c_1001_2^5 + 5999/5024*c_1001_2^4 + 155/157*c_1001_2^3 - 4597/5024*c_1001_2^2 + 7489/5024*c_1001_2 + 4811/5024, c_0101_10 - 1, c_0110_10 - 2043/5024*c_1001_2^6 + 1281/5024*c_1001_2^5 - 5999/5024*c_1001_2^4 - 155/157*c_1001_2^3 + 4597/5024*c_1001_2^2 - 7489/5024*c_1001_2 - 4811/5024, c_0110_5 + 909/1256*c_1001_2^6 - 309/314*c_1001_2^5 + 3773/1256*c_1001_2^4 - 357/1256*c_1001_2^3 + 49/628*c_1001_2^2 + 3837/1256*c_1001_2 + 194/157, c_1001_1 - c_1001_2, c_1001_2^7 - 2/3*c_1001_2^6 + 34/9*c_1001_2^5 + 17/9*c_1001_2^4 + 5/9*c_1001_2^3 + 4*c_1001_2^2 + 32/9*c_1001_2 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB