Magma V2.19-8 Tue Aug 20 2013 23:48:53 on localhost [Seed = 4155612521] Type ? for help. Type -D to quit. Loading file "L12n1109__sl2_c0.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' : d['1'], 's_3_10' : 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_0'], '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_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' : 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_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: 7 Groebner basis: [ t + 156031826/197604275*c_1100_0^6 + 652729381/197604275*c_1100_0^5 + 47321853/10400225*c_1100_0^4 + 1457230414/197604275*c_1100_0^3 + 58618834/10400225*c_1100_0^2 + 356728467/197604275*c_1100_0 + 7264992392/197604275, c_0011_0 - 1, c_0011_10 + 4378/37819*c_1100_0^6 + 8819/37819*c_1100_0^5 + 12388/37819*c_1100_0^4 + 28483/37819*c_1100_0^3 - 24469/37819*c_1100_0^2 + 46435/37819*c_1100_0 + 8066/37819, c_0011_11 - 1194/491647*c_1100_0^6 + 4471/491647*c_1100_0^5 - 20569/491647*c_1100_0^4 - 42149/491647*c_1100_0^3 + 30740/491647*c_1100_0^2 - 273959/491647*c_1100_0 + 180019/491647, c_0011_6 - 49458/491647*c_1100_0^6 - 131037/491647*c_1100_0^5 - 194835/491647*c_1100_0^4 - 340136/491647*c_1100_0^3 + 60257/491647*c_1100_0^2 - 405726/491647*c_1100_0 - 589938/491647, c_0101_0 - 1, c_0101_1 - 54590/491647*c_1100_0^6 - 85467/491647*c_1100_0^5 - 92185/491647*c_1100_0^4 - 351652/491647*c_1100_0^3 + 252500/491647*c_1100_0^2 - 897245/491647*c_1100_0 - 251835/491647, c_0101_11 + 4378/37819*c_1100_0^6 + 8819/37819*c_1100_0^5 + 12388/37819*c_1100_0^4 + 28483/37819*c_1100_0^3 - 24469/37819*c_1100_0^2 + 46435/37819*c_1100_0 + 45885/37819, c_0101_2 - 55720/491647*c_1100_0^6 - 119118/491647*c_1100_0^5 - 140475/491647*c_1100_0^4 - 328130/491647*c_1100_0^3 + 287357/491647*c_1100_0^2 - 821343/491647*c_1100_0 - 776524/491647, c_0101_7 - 3442/37819*c_1100_0^6 - 8523/37819*c_1100_0^5 - 6526/37819*c_1100_0^4 - 18247/37819*c_1100_0^3 - 5140/37819*c_1100_0^2 - 49465/37819*c_1100_0 - 46562/37819, c_0101_9 + 6928/37819*c_1100_0^6 + 14474/37819*c_1100_0^5 + 15267/37819*c_1100_0^4 + 27278/37819*c_1100_0^3 - 36527/37819*c_1100_0^2 + 62908/37819*c_1100_0 + 34101/37819, c_1001_5 + 594/37819*c_1100_0^6 + 3097/37819*c_1100_0^5 + 10993/37819*c_1100_0^4 + 26860/37819*c_1100_0^3 + 29938/37819*c_1100_0^2 + 43169/37819*c_1100_0 + 16298/37819, c_1100_0^7 + 5/2*c_1100_0^6 + 7/2*c_1100_0^5 + 7*c_1100_0^4 - 1/2*c_1100_0^3 + 27/2*c_1100_0^2 + 15*c_1100_0 + 11/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB