Magma V2.19-8 Tue Aug 20 2013 17:59:38 on localhost [Seed = 1814943874] Type ? for help. Type -D to quit. Loading file "10^2_75__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_75 geometric_solution 12.93966462 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 1 0 0 0 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 -1 0 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 1.287903221656 0.992359769694 0 5 6 4 0132 0132 0132 3120 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521250150340 0.596670639563 7 0 9 8 0132 0132 0132 0132 1 1 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 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 0.977892438999 1.498467596784 4 7 8 0 3120 0321 1230 0132 1 0 0 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 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 0 0 0 0 0 0 0.425487220565 0.605878038989 1 10 0 3 3120 0132 0132 3120 1 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 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 0.523960478344 0.454538994192 11 1 12 12 0132 0132 0132 3120 0 0 0 0 0 -1 1 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 1 -1 1 0 0 -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 0.606441796517 0.601598586057 13 13 12 1 0132 1302 0321 0132 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 1 -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 0.839361531616 1.357385158920 2 11 9 3 0132 0132 1023 0321 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 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 -0.175915945612 0.869074542303 11 11 2 3 3012 0213 0132 3012 1 1 0 0 0 1 -1 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 0 -1 1 0 1 0 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 0.191764381288 0.539735119724 10 10 7 2 2031 0321 1023 0132 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 -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 0.591424503386 0.776020112028 13 4 9 9 1230 0132 1302 0321 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 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 0 0 0 0.591424503386 0.776020112028 5 7 8 8 0132 0132 0213 1230 1 0 0 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 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 0.191764381288 0.539735119724 5 13 6 5 3120 3201 0321 0132 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 1 0 -1 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761515890239 1.164063863421 6 10 12 6 0132 3012 2310 2031 0 0 0 0 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 1 -1 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085981126303 0.726535218895 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : negation(d['c_0101_1']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : negation(d['c_0011_13']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 'c_0101_13' : d['c_0101_1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_13'], '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_12' : d['1'], 's_2_13' : 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_1100_9' : negation(d['c_1001_3']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0101_7'], 'c_1100_13' : d['c_0011_12'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_1001_3']), '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'], 'c_1100_12' : negation(d['c_0101_12']), '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' : negation(d['c_0011_13']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_13']), '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_0110_11' : d['c_0011_8'], 'c_0110_10' : d['c_0011_13'], 'c_0110_13' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0011_8'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_12']), 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_2_8' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 17905/114*c_1001_3^5 + 41029/19*c_1001_3^4 - 873190/57*c_1001_3^3 + 19688*c_1001_3^2 - 813727/114*c_1001_3 + 64099/114, c_0011_0 - 1, c_0011_10 + 128/57*c_1001_3^5 - 583/19*c_1001_3^4 + 12340/57*c_1001_3^3 - 264*c_1001_3^2 + 4892/57*c_1001_3 - 404/57, c_0011_12 - 50/57*c_1001_3^5 + 674/57*c_1001_3^4 - 1566/19*c_1001_3^3 + 265/3*c_1001_3^2 - 1126/57*c_1001_3 + 26/57, c_0011_13 - 2/57*c_1001_3^5 + 41/114*c_1001_3^4 - 33/19*c_1001_3^3 - 15/2*c_1001_3^2 + 1493/114*c_1001_3 - 109/38, c_0011_3 + 4/19*c_1001_3^5 - 161/57*c_1001_3^4 + 2233/114*c_1001_3^3 - 119/6*c_1001_3^2 + 176/57*c_1001_3 + 27/38, c_0011_8 + 29/114*c_1001_3^5 - 397/114*c_1001_3^4 + 2813/114*c_1001_3^3 - 94/3*c_1001_3^2 + 301/19*c_1001_3 - 389/114, c_0101_0 + 1, c_0101_1 + 50/57*c_1001_3^5 - 674/57*c_1001_3^4 + 1566/19*c_1001_3^3 - 265/3*c_1001_3^2 + 1126/57*c_1001_3 + 31/57, c_0101_12 + 97/57*c_1001_3^5 - 2663/114*c_1001_3^4 + 18875/114*c_1001_3^3 - 211*c_1001_3^2 + 9299/114*c_1001_3 - 530/57, c_0101_3 + 3/38*c_1001_3^5 - 58/57*c_1001_3^4 + 389/57*c_1001_3^3 - 4*c_1001_3^2 - 13/38*c_1001_3 + 85/114, c_0101_7 - 3/38*c_1001_3^5 + 58/57*c_1001_3^4 - 389/57*c_1001_3^3 + 4*c_1001_3^2 + 13/38*c_1001_3 - 85/114, c_1001_0 - 1, c_1001_2 - 91/114*c_1001_3^5 + 616/57*c_1001_3^4 - 4309/57*c_1001_3^3 + 253/3*c_1001_3^2 - 2291/114*c_1001_3 + 23/114, c_1001_3^6 - 14*c_1001_3^5 + 101*c_1001_3^4 - 150*c_1001_3^3 + 78*c_1001_3^2 - 16*c_1001_3 + 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1360866246060758/102599419219*c_1001_3^7 - 2431960780609860/9327219929*c_1001_3^6 + 338913544798532747/205198838438*c_1001_3^5 + 5088951472554718/9327219929*c_1001_3^4 + 11191888691859313/102599419219*c_1001_3^3 - 10555510784002044/102599419219*c_1001_3^2 + 2216236014971585/205198838438*c_1001_3 - 1972916654814543/205198838438, c_0011_0 - 1, c_0011_10 - 460503744/227493169*c_1001_3^7 + 9016421532/227493169*c_1001_3^6 - 56634037640/227493169*c_1001_3^5 - 23418038529/227493169*c_1001_3^4 - 5496324468/227493169*c_1001_3^3 + 4627463404/227493169*c_1001_3^2 + 228869948/227493169*c_1001_3 - 28403348/227493169, c_0011_12 - 32099624/227493169*c_1001_3^7 + 759916104/227493169*c_1001_3^6 - 6520320002/227493169*c_1001_3^5 + 14492995594/227493169*c_1001_3^4 + 6893811298/227493169*c_1001_3^3 - 1496878659/227493169*c_1001_3^2 - 1531750918/227493169*c_1001_3 + 329115446/227493169, c_0011_13 + 248886860/227493169*c_1001_3^7 - 4996450898/227493169*c_1001_3^6 + 33051276791/227493169*c_1001_3^5 - 6078533841/454986338*c_1001_3^4 - 51042474/227493169*c_1001_3^3 - 4681759373/454986338*c_1001_3^2 + 3502369455/454986338*c_1001_3 - 525969293/454986338, c_0011_3 - 1168672/227493169*c_1001_3^7 + 17487876/227493169*c_1001_3^6 - 39762378/227493169*c_1001_3^5 - 694121393/227493169*c_1001_3^4 - 845510245/454986338*c_1001_3^3 - 1081799899/454986338*c_1001_3^2 - 300240405/227493169*c_1001_3 + 465511859/454986338, c_0011_8 - 227835818/227493169*c_1001_3^7 + 4576598730/227493169*c_1001_3^6 - 60611630809/454986338*c_1001_3^5 + 6094905471/454986338*c_1001_3^4 + 1248240751/454986338*c_1001_3^3 + 2542598868/227493169*c_1001_3^2 - 1136606131/227493169*c_1001_3 + 629361681/454986338, c_0101_0 - 1, c_0101_1 + 38302328/227493169*c_1001_3^7 - 730081576/227493169*c_1001_3^6 + 4332074726/227493169*c_1001_3^5 + 4195096478/227493169*c_1001_3^4 + 2586615306/227493169*c_1001_3^3 + 1338930617/227493169*c_1001_3^2 + 391188866/227493169*c_1001_3 - 475087441/227493169, c_0101_12 + 371172324/227493169*c_1001_3^7 - 7273971470/227493169*c_1001_3^6 + 45731738087/227493169*c_1001_3^5 + 37932046525/454986338*c_1001_3^4 - 3487659787/454986338*c_1001_3^3 - 4699965771/227493169*c_1001_3^2 + 1308254575/454986338*c_1001_3 + 35814615/227493169, c_0101_3 + 19882370/227493169*c_1001_3^7 - 402364292/227493169*c_1001_3^6 + 5411398017/454986338*c_1001_3^5 - 685935578/227493169*c_1001_3^4 + 150322779/227493169*c_1001_3^3 - 339180768/227493169*c_1001_3^2 + 628676383/454986338*c_1001_3 - 341068429/454986338, c_0101_7 + 19882370/227493169*c_1001_3^7 - 402364292/227493169*c_1001_3^6 + 5411398017/454986338*c_1001_3^5 - 685935578/227493169*c_1001_3^4 + 150322779/227493169*c_1001_3^3 - 339180768/227493169*c_1001_3^2 + 628676383/454986338*c_1001_3 - 341068429/454986338, c_1001_0 - 1, c_1001_2 + 18419958/227493169*c_1001_3^7 - 327717284/227493169*c_1001_3^6 + 3252751435/454986338*c_1001_3^5 + 4881032056/227493169*c_1001_3^4 + 2436292527/227493169*c_1001_3^3 + 1678111385/227493169*c_1001_3^2 + 153701349/454986338*c_1001_3 - 609106453/454986338, c_1001_3^8 - 20*c_1001_3^7 + 525/4*c_1001_3^6 - 3/2*c_1001_3^5 - 23/4*c_1001_3^4 - 21/2*c_1001_3^3 + 7/2*c_1001_3^2 - c_1001_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.600 seconds, Total memory usage: 32.09MB