Magma V2.19-8 Tue Aug 20 2013 23:48:21 on localhost [Seed = 3634279020] Type ? for help. Type -D to quit. Loading file "L11n40__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n40 geometric_solution 11.29496914 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 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 0 -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 0.463822026698 0.795966492708 0 4 5 0 0132 0132 0132 2031 1 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 0 1 0 -1 0 0 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 0.582138079378 0.864195152332 4 4 5 0 0132 1230 3120 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463822026698 0.795966492708 6 4 0 7 0132 1302 0132 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 1 -1 0 0 0 0 -9 -1 0 10 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565590047047 0.738257936606 2 1 2 3 0132 0132 3012 2031 1 1 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 -1 0 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 0.453487024088 0.937872700339 8 9 2 1 0132 0132 3120 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 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 0.346075838460 0.853559401753 3 10 10 8 0132 0132 0321 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 1 0 -1 0 0 1 -1 1 -1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712216785318 0.896166712565 11 9 3 8 0132 2310 0132 2103 1 1 1 1 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 1 -1 0 0 0 0 0 -10 0 10 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127537407062 1.183231917850 5 11 6 7 0132 3201 0132 2103 1 1 1 1 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 9 1 -10 -1 0 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 0.324835968798 1.011550248346 11 5 10 7 3201 0132 2103 3201 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 0 0 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375150930239 1.716940136252 9 6 6 11 2103 0132 0321 0321 1 1 1 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 0 0 0 0 0 0 0 -1 0 1 0 0 9 -9 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712216785318 0.896166712565 7 10 8 9 0132 0321 2310 2310 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 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 -10 0 0 10 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.459452019012 0.356403885353 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0110_9']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : negation(d['c_0110_9']), 's_3_11' : 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_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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_1100_9' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_5']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_5']), 'c_1100_10' : negation(d['c_0110_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_9']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_1001_2']), 'c_1010_8' : d['c_0110_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_10'], 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_10']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], '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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0110_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 1965/242*c_0110_9^4 - 2187/242*c_0110_9^3 + 4371/242*c_0110_9^2 + 283/242*c_0110_9 - 721/121, c_0011_0 - 1, c_0011_10 + 2*c_0110_9^4 + 4*c_0110_9^3 - 2*c_0110_9 - 1, c_0011_11 + c_0110_9^3 + c_0110_9^2 - c_0110_9, c_0011_5 - c_0110_9^4 - 2*c_0110_9^3 - c_0110_9^2 + c_0110_9 + 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + c_0110_9^4 + 2*c_0110_9^3 + c_0110_9^2 - c_0110_9 - 1, c_0101_11 - c_0110_9^3 - 2*c_0110_9^2 + 1, c_0101_2 + 2*c_0110_9^4 + 4*c_0110_9^3 - 2*c_0110_9 - 2, c_0101_5 - 2*c_0110_9^4 - 4*c_0110_9^3 + 2*c_0110_9 + 1, c_0110_9^5 + 2*c_0110_9^4 - c_0110_9^3 - 2*c_0110_9^2 + 1, c_1001_2 + 1 ], 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0110_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 230848/769*c_0110_9^6 - 39428/769*c_0110_9^5 + 135965/1538*c_0110_9^4 + 3139/1538*c_0110_9^3 + 61673/1538*c_0110_9^2 - 66119/1538*c_0110_9 + 2387/769, c_0011_0 - 1, c_0011_10 - 4328/769*c_0110_9^6 - 2803/1538*c_0110_9^5 - 1681/769*c_0110_9^4 - 4565/1538*c_0110_9^3 - 325/769*c_0110_9^2 + 134/769*c_0110_9 + 39/1538, c_0011_11 - 4144/769*c_0110_9^6 - 1069/769*c_0110_9^5 + 534/769*c_0110_9^4 - 882/769*c_0110_9^3 - 1373/769*c_0110_9^2 + 559/769*c_0110_9 + 67/769, c_0011_5 + 5688/769*c_0110_9^6 - 1911/1538*c_0110_9^5 + 1770/769*c_0110_9^4 + 1195/1538*c_0110_9^3 - 32/769*c_0110_9^2 - 169/769*c_0110_9 - 273/1538, c_0101_0 + 1, c_0101_1 - 1, c_0101_10 - 5688/769*c_0110_9^6 + 1911/1538*c_0110_9^5 - 1770/769*c_0110_9^4 - 1195/1538*c_0110_9^3 + 32/769*c_0110_9^2 + 169/769*c_0110_9 + 273/1538, c_0101_11 + 3544/769*c_0110_9^6 + 6389/1538*c_0110_9^5 - 1003/769*c_0110_9^4 + 989/1538*c_0110_9^3 + 377/769*c_0110_9^2 - 340/769*c_0110_9 - 845/1538, c_0101_2 + 4328/769*c_0110_9^6 + 2803/1538*c_0110_9^5 + 1681/769*c_0110_9^4 + 4565/1538*c_0110_9^3 + 325/769*c_0110_9^2 - 134/769*c_0110_9 - 1577/1538, c_0101_5 + 4328/769*c_0110_9^6 + 2803/1538*c_0110_9^5 + 1681/769*c_0110_9^4 + 4565/1538*c_0110_9^3 + 325/769*c_0110_9^2 - 134/769*c_0110_9 - 39/1538, c_0110_9^7 - 1/16*c_0110_9^6 - 1/16*c_0110_9^5 + 3/16*c_0110_9^4 + 1/16*c_0110_9^3 - 1/8*c_0110_9^2 - 1/16*c_0110_9 + 1/16, c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB