Magma V2.19-8 Wed Aug 21 2013 01:07:38 on localhost [Seed = 307497736] Type ? for help. Type -D to quit. Loading file "L14n33579__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33579 geometric_solution 11.66271454 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 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 0 -1 -1 0 1 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 0.419653930859 0.714609244207 0 0 5 4 0132 1230 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 0 1 1 0 -1 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 0.684800034684 0.843228654832 6 0 8 7 0132 0132 0132 0132 1 1 0 1 0 0 -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 -1 6 -5 1 0 -1 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711640381262 0.411983502069 9 10 0 11 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 -5 0 0 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 0.793841179690 0.687414196907 11 5 1 8 0132 0213 0132 1302 1 1 1 0 0 0 0 0 1 0 0 -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 0 -1 1 -5 0 0 5 0 6 0 -6 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146917642560 0.523751602393 7 11 4 1 0213 1302 0213 0132 1 1 1 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 0 0 0 5 0 -6 1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.557075160490 0.667429113967 2 7 11 10 0132 2103 3012 1230 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 -1 0 1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632702867289 0.938480579943 5 6 2 9 0213 2103 0132 0213 1 1 1 0 0 0 -1 1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 -5 0 0 5 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.284896733850 0.752384646129 9 12 4 2 1230 0132 2031 0132 1 1 1 1 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 0 6 -6 0 0 -1 1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373411578361 0.508151968312 3 8 12 7 0132 3012 1230 0213 1 1 1 1 0 1 0 -1 -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 -5 0 5 5 0 0 -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 0.146131173682 0.432248202321 6 3 12 12 3012 0132 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 0.590402622625 0.707322788765 4 6 3 5 0132 1230 0132 2031 1 1 0 1 0 0 0 0 -1 0 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 -1 1 0 5 0 -5 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410188586010 1.133528045409 10 8 10 9 2310 0132 0132 3012 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 0.044784926222 0.904755483019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(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' : 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' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_8']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : negation(d['c_0101_8']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : negation(d['1']), 's_1_6' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_0'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_10']})} 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_12, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 21373330464147/2563407572*c_1001_12^7 - 1196656018577/2563407572*c_1001_12^6 + 409785288420/58259263*c_1001_12^5 + 21666687894923/2563407572*c_1001_12^4 - 7943280384267/2563407572*c_1001_12^3 - 1284923412889/640851893*c_1001_12^2 - 4144674990267/2563407572*c_1001_12 - 116054603369/640851893, c_0011_0 - 1, c_0011_10 - 1277231/43187*c_1001_12^7 + 524524/43187*c_1001_12^6 + 1333346/43187*c_1001_12^5 + 918380/43187*c_1001_12^4 - 992442/43187*c_1001_12^3 - 193457/43187*c_1001_12^2 - 218681/43187*c_1001_12 - 44481/43187, c_0011_11 + 650349/43187*c_1001_12^7 + 1295537/43187*c_1001_12^6 - 296806/43187*c_1001_12^5 - 989810/43187*c_1001_12^4 - 579039/43187*c_1001_12^3 + 303987/43187*c_1001_12^2 - 200320/43187*c_1001_12 + 92537/43187, c_0011_12 + 753672/43187*c_1001_12^7 - 383827/43187*c_1001_12^6 + 190044/43187*c_1001_12^5 - 52376/43187*c_1001_12^4 + 392153/43187*c_1001_12^3 - 655896/43187*c_1001_12^2 + 74678/43187*c_1001_12 - 121264/43187, c_0011_5 - 111414/43187*c_1001_12^7 - 81038/43187*c_1001_12^6 + 91150/43187*c_1001_12^5 + 80261/43187*c_1001_12^4 + 69554/43187*c_1001_12^3 + 29387/43187*c_1001_12^2 + 9275/43187*c_1001_12 - 67723/43187, c_0101_0 + 1453683/43187*c_1001_12^7 - 563064/43187*c_1001_12^6 - 1292604/43187*c_1001_12^5 - 1129368/43187*c_1001_12^4 + 933668/43187*c_1001_12^3 + 117403/43187*c_1001_12^2 + 346939/43187*c_1001_12 + 37293/43187, c_0101_1 - 1, c_0101_10 - 766537/43187*c_1001_12^7 - 609699/43187*c_1001_12^6 + 1187012/43187*c_1001_12^5 + 1330349/43187*c_1001_12^4 - 50642/43187*c_1001_12^3 - 789542/43187*c_1001_12^2 - 75061/43187*c_1001_12 - 193996/43187, c_0101_11 - 675180/43187*c_1001_12^7 - 558150/43187*c_1001_12^6 + 889727/43187*c_1001_12^5 + 1033401/43187*c_1001_12^4 + 18762/43187*c_1001_12^3 - 538643/43187*c_1001_12^2 - 14377/43187*c_1001_12 - 125547/43187, c_0101_12 + 804822/43187*c_1001_12^7 - 950087/43187*c_1001_12^6 - 832054/43187*c_1001_12^5 - 262188/43187*c_1001_12^4 + 1011054/43187*c_1001_12^3 - 123674/43187*c_1001_12^2 + 212526/43187*c_1001_12 - 31268/43187, c_0101_8 - 1365457/43187*c_1001_12^7 + 543794/43187*c_1001_12^6 + 1312975/43187*c_1001_12^5 + 1023874/43187*c_1001_12^4 - 963055/43187*c_1001_12^3 - 155430/43187*c_1001_12^2 - 282810/43187*c_1001_12 - 40887/43187, c_1001_1 + 469278/43187*c_1001_12^7 + 354744/43187*c_1001_12^6 - 183636/43187*c_1001_12^5 - 464738/43187*c_1001_12^4 - 117403/43187*c_1001_12^3 + 28205/43187*c_1001_12^2 + 9600/43187*c_1001_12 + 3706/43187, c_1001_12^8 - 2/31*c_1001_12^7 - 20/31*c_1001_12^6 - 28/31*c_1001_12^5 + 10/31*c_1001_12^4 + 8/31*c_1001_12^2 + 1/31*c_1001_12 + 1/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.750 seconds, Total memory usage: 32.09MB