Magma V2.19-8 Tue Aug 20 2013 18:03:43 on localhost [Seed = 1831655679] Type ? for help. Type -D to quit. Loading file "9_41__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_41 geometric_solution 12.09893603 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 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 0 0 -1 1 -1 0 1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.538841768588 0 0 5 4 0132 1230 0132 0132 0 0 0 0 0 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 -1 1 0 1 0 -1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190983005625 0.587785252292 6 0 5 7 0132 0132 3012 0132 0 0 0 0 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 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 0.500000000000 0.363271264003 8 5 0 6 0132 3012 0132 2103 0 0 0 0 0 -1 1 0 -1 0 0 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 1 -1 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 0.500000000000 0.363271264003 9 9 1 8 0132 1302 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690983005625 0.951056516295 3 2 10 1 1230 1230 0132 0132 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 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 0.500000000000 1.538841768588 2 11 10 3 0132 0132 2310 2103 0 0 0 0 0 0 1 -1 1 0 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 -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 0.809016994375 0.587785252292 12 11 2 11 0132 3012 0132 0213 0 0 0 0 0 0 -1 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 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 0.500000000000 1.538841768588 3 12 4 12 0132 1230 0132 2031 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 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 0.500000000000 0.688190960236 4 11 10 4 0132 0213 1302 2031 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 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 0.309016994375 0.951056516295 9 6 12 5 2031 3201 2031 0132 0 0 0 0 0 -1 0 1 -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 0 1 -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 0.690983005625 0.951056516295 7 6 9 7 1230 0132 0213 0213 0 0 0 0 0 0 1 -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 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 0.809016994375 0.587785252292 7 8 8 10 0132 1302 3012 1302 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 0 0 0 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 0.309016994375 0.951056516295 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_12' : d['c_0011_3'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : negation(d['c_1001_5']), 'c_1010_10' : d['c_1001_5'], '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' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_1010_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1010_12']), 'c_1100_4' : negation(d['c_1010_12']), 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_1010_12']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_1001_5']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : negation(d['c_1010_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_12'], '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' : d['c_0101_10'], '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_2']})} 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_12, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_1001_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 76/5*c_1010_12^3 + 246/5*c_1010_12^2 + 322/5*c_1010_12 + 123/5, c_0011_0 - 1, c_0011_10 - c_1010_12, c_0011_12 - 1, c_0011_3 - c_1010_12 - 1, c_0011_4 - 1, c_0011_5 + c_1010_12^2 + c_1010_12 + 1, c_0101_0 - c_1010_12 - 1, c_0101_10 - c_1010_12^3 - 2*c_1010_12^2 - 3*c_1010_12 - 1, c_0101_2 + c_1010_12^3 + 2*c_1010_12^2 + c_1010_12, c_0101_5 - c_1010_12^2 - c_1010_12 - 1, c_0101_6 + c_1010_12^2 + c_1010_12 + 1, c_1001_5 + c_1010_12^2 + c_1010_12, c_1010_12^4 + 3*c_1010_12^3 + 4*c_1010_12^2 + 2*c_1010_12 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_1001_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 179/392480*c_1010_12^5 - 193/313984*c_1010_12^4 + 3233/784960*c_1010_12^3 + 6011/1569920*c_1010_12^2 - 639/19624*c_1010_12 + 1437/49060, c_0011_0 - 1, c_0011_10 - 29/880*c_1010_12^5 - 67/880*c_1010_12^4 + 217/880*c_1010_12^3 + 299/880*c_1010_12^2 - 657/220*c_1010_12 - 67/55, c_0011_12 - 1, c_0011_3 + 17/880*c_1010_12^5 + 13/440*c_1010_12^4 - 131/880*c_1010_12^3 - 13/220*c_1010_12^2 + 203/110*c_1010_12 - 29/55, c_0011_4 + 5/176*c_1010_12^5 + 57/880*c_1010_12^4 - 181/880*c_1010_12^3 - 69/176*c_1010_12^2 + 467/220*c_1010_12 + 101/55, c_0011_5 - 1/80*c_1010_12^4 - 1/40*c_1010_12^3 - 1/16*c_1010_12^2 - 1/20*c_1010_12 - 3/5, c_0101_0 - 1/220*c_1010_12^5 - 1/88*c_1010_12^4 + 9/220*c_1010_12^3 - 23/440*c_1010_12^2 - 19/22*c_1010_12 + 34/55, c_0101_10 - 13/880*c_1010_12^5 - 27/880*c_1010_12^4 + 73/880*c_1010_12^3 + 43/880*c_1010_12^2 - 447/220*c_1010_12 + 17/55, c_0101_2 + 3/220*c_1010_12^5 + 1/110*c_1010_12^4 - 19/110*c_1010_12^3 + 7/220*c_1010_12^2 + 82/55*c_1010_12 - 3/55, c_0101_5 + 1/44*c_1010_12^5 + 7/220*c_1010_12^4 - 14/55*c_1010_12^3 - 5/44*c_1010_12^2 + 433/220*c_1010_12 - 16/55, c_0101_6 - 1/80*c_1010_12^4 - 1/40*c_1010_12^3 - 1/16*c_1010_12^2 - 1/20*c_1010_12 - 3/5, c_1001_5 + 3/220*c_1010_12^5 + 3/88*c_1010_12^4 - 27/220*c_1010_12^3 - 41/440*c_1010_12^2 + 59/44*c_1010_12 + 8/55, c_1010_12^6 + 3*c_1010_12^5 - 5*c_1010_12^4 - 15*c_1010_12^3 + 72*c_1010_12^2 + 80*c_1010_12 + 64 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_1001_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 39/12488*c_1010_12^5 + 27/6244*c_1010_12^4 + 15/12488*c_1010_12^3 - 401/12488*c_1010_12^2 - 89/6244*c_1010_12 - 27/1784, c_0011_0 - 1, c_0011_10 + 8/7*c_1010_12^5 - 9/7*c_1010_12^4 + 36/7*c_1010_12^3 - 11*c_1010_12^2 + 3*c_1010_12 + 9/7, c_0011_12 - 1/7*c_1010_12^5 - c_1010_12^3 + 3/7*c_1010_12^2 - 6/7*c_1010_12 + 10/7, c_0011_3 - 1/7*c_1010_12^5 - c_1010_12^3 + 3/7*c_1010_12^2 - 13/7*c_1010_12 + 10/7, c_0011_4 - 1, c_0011_5 - 5/7*c_1010_12^5 + 3/7*c_1010_12^4 - 26/7*c_1010_12^3 + 5*c_1010_12^2 - 3*c_1010_12 + 4/7, c_0101_0 + 2/7*c_1010_12^4 - 1/7*c_1010_12^3 + 11/7*c_1010_12^2 - 8/7*c_1010_12 + 2/7, c_0101_10 + 4/7*c_1010_12^5 - 8/7*c_1010_12^4 + 18/7*c_1010_12^3 - 8*c_1010_12^2 + 3*c_1010_12 + 8/7, c_0101_2 + 3/7*c_1010_12^5 - 1/7*c_1010_12^4 + 11/7*c_1010_12^3 - 18/7*c_1010_12^2 - 13/7*c_1010_12 + 11/7, c_0101_5 + 5/7*c_1010_12^5 - 3/7*c_1010_12^4 + 26/7*c_1010_12^3 - 5*c_1010_12^2 + 3*c_1010_12 - 4/7, c_0101_6 - 3/7*c_1010_12^5 + c_1010_12^4 - 2*c_1010_12^3 + 44/7*c_1010_12^2 - 32/7*c_1010_12 - 5/7, c_1001_5 + 3/7*c_1010_12^5 - 4/7*c_1010_12^4 + 16/7*c_1010_12^3 - 31/7*c_1010_12^2 + 27/7*c_1010_12 - 6/7, c_1010_12^6 - c_1010_12^5 + 5*c_1010_12^4 - 9*c_1010_12^3 + 5*c_1010_12^2 - c_1010_12 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_1001_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 11701/112*c_1010_12^5 - 34863/112*c_1010_12^4 - 28639/64*c_1010_12^3 - 374531/896*c_1010_12^2 - 16551/56*c_1010_12 - 91979/896, c_0011_0 - 1, c_0011_10 - c_1010_12, c_0011_12 - 6/7*c_1010_12^5 - 8/7*c_1010_12^4 - 1/2*c_1010_12^3 - 11/28*c_1010_12^2 - 15/28*c_1010_12 + 5/7, c_0011_3 - 3/7*c_1010_12^5 - 11/7*c_1010_12^4 - 9/4*c_1010_12^3 - 137/56*c_1010_12^2 - 25/28*c_1010_12 - 15/56, c_0011_4 - 6/7*c_1010_12^5 - 8/7*c_1010_12^4 - 1/2*c_1010_12^3 - 11/28*c_1010_12^2 - 15/28*c_1010_12 + 5/7, c_0011_5 - 45/14*c_1010_12^5 - 95/14*c_1010_12^4 - 71/8*c_1010_12^3 - 795/112*c_1010_12^2 - 71/14*c_1010_12 + 69/112, c_0101_0 - 3/7*c_1010_12^5 - 11/7*c_1010_12^4 - 9/4*c_1010_12^3 - 137/56*c_1010_12^2 - 25/28*c_1010_12 - 15/56, c_0101_10 - 9/7*c_1010_12^5 - 19/7*c_1010_12^4 - 11/4*c_1010_12^3 - 47/56*c_1010_12^2 - 10/7*c_1010_12 + 25/56, c_0101_2 - 31/14*c_1010_12^5 - 53/14*c_1010_12^4 - 29/8*c_1010_12^3 - 249/112*c_1010_12^2 - 15/14*c_1010_12 + 55/112, c_0101_5 + 18/7*c_1010_12^5 + 38/7*c_1010_12^4 + 11/2*c_1010_12^3 + 103/28*c_1010_12^2 + 20/7*c_1010_12 + 3/28, c_0101_6 - 18/7*c_1010_12^5 - 38/7*c_1010_12^4 - 11/2*c_1010_12^3 - 103/28*c_1010_12^2 - 20/7*c_1010_12 - 3/28, c_1001_5 - 18/7*c_1010_12^5 - 38/7*c_1010_12^4 - 11/2*c_1010_12^3 - 103/28*c_1010_12^2 - 20/7*c_1010_12 - 31/28, c_1010_12^6 + 2*c_1010_12^5 + 9/4*c_1010_12^4 + 13/8*c_1010_12^3 + 9/8*c_1010_12^2 - 1/8*c_1010_12 + 1/8 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_1001_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 19/14*c_1010_12^5 + 201/14*c_1010_12^4 + 29/14*c_1010_12^3 + 541/7*c_1010_12^2 - 211/14*c_1010_12 - 158/7, c_0011_0 - 1, c_0011_10 - 3/7*c_1010_12^5 + 2/7*c_1010_12^4 - 15/7*c_1010_12^3 + 20/7*c_1010_12^2 - 5/7*c_1010_12 - 3/7, c_0011_12 + 3/7*c_1010_12^5 - 2/7*c_1010_12^4 + 15/7*c_1010_12^3 - 20/7*c_1010_12^2 + 5/7*c_1010_12 + 3/7, c_0011_3 + 1/7*c_1010_12^5 - 3/7*c_1010_12^4 + 5/7*c_1010_12^3 - 16/7*c_1010_12^2 + 11/7*c_1010_12 + 1/7, c_0011_4 + c_1010_12, c_0011_5 - 5/7*c_1010_12^5 + 3/7*c_1010_12^4 - 26/7*c_1010_12^3 + 5*c_1010_12^2 - 3*c_1010_12 + 4/7, c_0101_0 + 2/7*c_1010_12^4 - 1/7*c_1010_12^3 + 11/7*c_1010_12^2 - 8/7*c_1010_12 + 2/7, c_0101_10 - 1, c_0101_2 + 5/7*c_1010_12^5 - 4/7*c_1010_12^4 + 23/7*c_1010_12^3 - 37/7*c_1010_12^2 + 11/7*c_1010_12 + 2/7, c_0101_5 + 3/7*c_1010_12^5 + 2*c_1010_12^3 - 9/7*c_1010_12^2 - 3/7*c_1010_12 - 2/7, c_0101_6 - 1/7*c_1010_12^5 + 3/7*c_1010_12^4 - 5/7*c_1010_12^3 + 16/7*c_1010_12^2 - 18/7*c_1010_12 + 6/7, c_1001_5 + 1/7*c_1010_12^5 - 1/7*c_1010_12^4 + 4/7*c_1010_12^3 - 5/7*c_1010_12^2 + 3/7*c_1010_12 - 4/7, c_1010_12^6 - c_1010_12^5 + 5*c_1010_12^4 - 9*c_1010_12^3 + 5*c_1010_12^2 - c_1010_12 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.930 Total time: 5.139 seconds, Total memory usage: 87.00MB