Magma V2.19-8 Tue Aug 20 2013 23:48:54 on localhost [Seed = 3835858553] Type ? for help. Type -D to quit. Loading file "L12n1109__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1109 geometric_solution 11.61342501 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637205147580 0.961130884312 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 -1 0 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 0.648947300298 1.181668314310 8 0 9 3 0132 0132 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 10 2 7 0 0132 1302 1023 0132 1 1 1 1 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 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 0.508665153156 0.624693827360 5 8 0 11 0132 0132 0132 0132 1 1 1 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 -1 0 0 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812179586368 1.027477480991 4 1 10 7 0132 0132 0132 3120 1 1 0 1 0 -1 0 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 1 0 -1 1 0 0 -1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188782950019 0.603836525924 8 9 1 11 3120 3120 0132 1023 1 1 0 1 0 -1 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 0 0 0 0 2 -1 -1 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 0.415042891428 0.552713054877 5 11 3 1 3120 1023 1023 0132 1 1 0 1 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558280698980 0.571982972470 2 4 10 6 0132 0132 3120 3120 1 1 0 1 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 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411324761802 0.658366128766 11 6 10 2 1023 3120 2310 0132 1 1 0 1 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 -1 1 0 0 0 0 -1 -2 0 3 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901824049184 0.599569805133 3 9 8 5 0132 3201 3120 0132 1 1 1 1 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 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664125486014 0.777581326284 7 9 4 6 1023 1023 0132 1023 1 1 0 1 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 -1 1 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832756435762 0.724073888568 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_0101_9'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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_2_10' : negation(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' : negation(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_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0101_0']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_11'], '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_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_9, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 6234493564/150223367*c_1100_0^7 - 30193802201/150223367*c_1100_0^6 - 57673388454/150223367*c_1100_0^5 - 53087203815/150223367*c_1100_0^4 - 24339920975/150223367*c_1100_0^3 - 2965120887/150223367*c_1100_0^2 + 2795870947/150223367*c_1100_0 + 1717297921/150223367, c_0011_0 - 1, c_0011_10 - 30706/4361*c_1100_0^7 - 145307/4361*c_1100_0^6 - 265896/4361*c_1100_0^5 - 230562/4361*c_1100_0^4 - 107088/4361*c_1100_0^3 - 26402/4361*c_1100_0^2 + 3097/4361*c_1100_0 + 4761/4361, c_0011_11 - 111397/17444*c_1100_0^7 - 122118/4361*c_1100_0^6 - 820895/17444*c_1100_0^5 - 635895/17444*c_1100_0^4 - 120937/8722*c_1100_0^3 - 10217/17444*c_1100_0^2 + 13819/17444*c_1100_0 + 7803/17444, c_0011_6 + 53339/17444*c_1100_0^7 + 54792/4361*c_1100_0^6 + 337993/17444*c_1100_0^5 + 232233/17444*c_1100_0^4 + 36517/8722*c_1100_0^3 - 36557/17444*c_1100_0^2 - 50849/17444*c_1100_0 - 11289/17444, c_0101_0 - 1, c_0101_1 + 88075/17444*c_1100_0^7 + 95715/4361*c_1100_0^6 + 677749/17444*c_1100_0^5 + 625897/17444*c_1100_0^4 + 176787/8722*c_1100_0^3 + 83499/17444*c_1100_0^2 - 9085/17444*c_1100_0 - 24537/17444, c_0101_11 + 20696/4361*c_1100_0^7 + 82398/4361*c_1100_0^6 + 121003/4361*c_1100_0^5 + 80104/4361*c_1100_0^4 + 39545/4361*c_1100_0^3 + 13375/4361*c_1100_0^2 - 115/4361*c_1100_0 - 2913/4361, c_0101_2 + 15691/8722*c_1100_0^7 + 47744/4361*c_1100_0^6 + 227669/8722*c_1100_0^5 + 271519/8722*c_1100_0^4 + 86213/4361*c_1100_0^3 + 57013/8722*c_1100_0^2 - 6723/8722*c_1100_0 - 14449/8722, c_0101_7 + 22009/4361*c_1100_0^7 + 94005/4361*c_1100_0^6 + 160421/4361*c_1100_0^5 + 140993/4361*c_1100_0^4 + 75128/4361*c_1100_0^3 + 11476/4361*c_1100_0^2 - 8966/4361*c_1100_0 - 3992/4361, c_0101_9 + 494/4361*c_1100_0^7 + 21848/4361*c_1100_0^6 + 86346/4361*c_1100_0^5 + 129195/4361*c_1100_0^4 + 78192/4361*c_1100_0^3 + 15391/4361*c_1100_0^2 - 9264/4361*c_1100_0 - 4915/4361, c_1001_5 + 9659/4361*c_1100_0^7 + 41844/4361*c_1100_0^6 + 70754/4361*c_1100_0^5 + 54776/4361*c_1100_0^4 + 14248/4361*c_1100_0^3 - 15697/4361*c_1100_0^2 - 9122/4361*c_1100_0 + 513/4361, c_1100_0^8 + 57/13*c_1100_0^7 + 95/13*c_1100_0^6 + 70/13*c_1100_0^5 + 21/13*c_1100_0^4 - 5/13*c_1100_0^3 - 6/13*c_1100_0^2 - 2/13*c_1100_0 + 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB