Magma V2.19-8 Tue Aug 20 2013 23:56:09 on localhost [Seed = 2766326921] Type ? for help. Type -D to quit. Loading file "L14n15076__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15076 geometric_solution 11.20395583 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 1 0 0 1 0 0 0 0 -1 0 3 -2 0 -2 0 2 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 2 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788177521976 1.199780267148 0 4 3 5 0132 0132 3201 0132 0 0 1 0 0 2 -2 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 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 0.729105339693 1.377064275408 0 0 7 6 2031 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 2 1 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 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617518871089 0.582220753865 1 8 0 9 2310 0132 0132 0132 1 0 0 0 0 0 0 0 0 0 2 -2 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 0 1 -1 0 0 1 -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 0.030962034634 0.692642683424 5 1 8 9 0213 0132 3120 1230 0 1 0 1 0 -2 0 2 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 0.575366047363 0.831071740867 4 9 1 10 0213 3120 0132 0132 0 0 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 0 0 0 0 0 1 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.300302794602 0.567183132174 10 10 2 11 0213 2103 0132 0132 1 1 0 1 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 1 0 0 -1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835352684535 1.063906049034 11 8 11 2 1230 0321 2031 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409954453784 1.492427775625 10 3 4 7 3201 0132 3120 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 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 0.808402821137 0.695277647054 4 5 3 11 3012 3120 0132 2310 1 0 1 0 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 0 0 0 0 0 0 0 0 -1 1 0 -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 0.387289170495 0.577203808191 6 6 5 8 0213 2103 0132 2310 0 0 1 1 0 0 0 0 -1 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 0 0 0 -1 0 1 0 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835352684535 1.063906049034 9 7 6 7 3201 3012 0132 1302 1 1 1 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 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 0.393533538044 0.887773042961 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : negation(d['c_1001_4']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0011_7'], '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_0011_6'], '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_1100_8' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_1001_2'], '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' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_5'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_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_3, c_0011_5, c_0011_6, c_0011_7, c_0101_1, c_0101_11, c_0101_7, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 184334540783/8186843776*c_1001_4^12 - 21971238919/511677736*c_1001_4^11 - 262015744115/2046710944*c_1001_4^10 - 25064711855/1023355472*c_1001_4^9 - 17463775313/1023355472*c_1001_4^8 + 2631385991625/8186843776*c_1001_4^7 + 177731116051/8186843776*c_1001_4^6 - 32313989687/511677736*c_1001_4^5 - 2615166647371/4093421888*c_1001_4^4 - 1987666014535/4093421888*c_1001_4^3 - 2449475790567/8186843776*c_1001_4^2 - 647511796753/8186843776*c_1001_4 - 188991870817/8186843776, c_0011_0 - 1, c_0011_10 + 1/16*c_1001_4^12 + 1/4*c_1001_4^10 - 1/2*c_1001_4^9 + 1/2*c_1001_4^8 - 23/16*c_1001_4^7 + 35/16*c_1001_4^6 - 2*c_1001_4^5 + 29/8*c_1001_4^4 - 23/8*c_1001_4^3 + 41/16*c_1001_4^2 - 33/16*c_1001_4 - 1/16, c_0011_11 - 1/16*c_1001_4^12 - 1/4*c_1001_4^10 + 1/2*c_1001_4^9 - 1/2*c_1001_4^8 + 23/16*c_1001_4^7 - 35/16*c_1001_4^6 + 2*c_1001_4^5 - 29/8*c_1001_4^4 + 31/8*c_1001_4^3 - 41/16*c_1001_4^2 + 49/16*c_1001_4 - 15/16, c_0011_3 - c_1001_4 - 1, c_0011_5 - 19/16*c_1001_4^12 - 3/4*c_1001_4^11 - 4*c_1001_4^10 + 23/4*c_1001_4^9 - 3/4*c_1001_4^8 + 233/16*c_1001_4^7 - 249/16*c_1001_4^6 - 13/4*c_1001_4^5 - 173/8*c_1001_4^4 + 55/8*c_1001_4^3 + 137/16*c_1001_4^2 + 67/16*c_1001_4 + 15/16, c_0011_6 + 3/8*c_1001_4^12 + 3/2*c_1001_4^10 - 3*c_1001_4^9 + 2*c_1001_4^8 - 61/8*c_1001_4^7 + 81/8*c_1001_4^6 - 4*c_1001_4^5 + 47/4*c_1001_4^4 - 37/4*c_1001_4^3 - 13/8*c_1001_4^2 - 11/8*c_1001_4 + 5/8, c_0011_7 + 15/16*c_1001_4^12 + 5/4*c_1001_4^11 + 7/2*c_1001_4^10 - 13/4*c_1001_4^9 - 11/4*c_1001_4^8 - 197/16*c_1001_4^7 + 141/16*c_1001_4^6 + 43/4*c_1001_4^5 + 165/8*c_1001_4^4 - 7/8*c_1001_4^3 - 213/16*c_1001_4^2 - 79/16*c_1001_4 - 35/16, c_0101_1 - 1, c_0101_11 - 13/16*c_1001_4^12 - 3/4*c_1001_4^11 - 5/2*c_1001_4^10 + 15/4*c_1001_4^9 + 5/4*c_1001_4^8 + 143/16*c_1001_4^7 - 167/16*c_1001_4^6 - 21/4*c_1001_4^5 - 111/8*c_1001_4^4 + 53/8*c_1001_4^3 + 111/16*c_1001_4^2 + 45/16*c_1001_4 + 9/16, c_0101_7 - 5/8*c_1001_4^12 - 1/4*c_1001_4^11 - 9/4*c_1001_4^10 + 15/4*c_1001_4^9 - 7/4*c_1001_4^8 + 73/8*c_1001_4^7 - 95/8*c_1001_4^6 + 9/4*c_1001_4^5 - 27/2*c_1001_4^4 + 17/2*c_1001_4^3 + 17/8*c_1001_4^2 + 5/8*c_1001_4 + 7/8, c_1001_2 + c_1001_4^3 + c_1001_4 - 1, c_1001_4^13 + c_1001_4^12 + 4*c_1001_4^11 - 4*c_1001_4^10 - 15*c_1001_4^8 + 12*c_1001_4^7 + 3*c_1001_4^6 + 26*c_1001_4^5 - 4*c_1001_4^4 - 5*c_1001_4^3 - 8*c_1001_4^2 - 2*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB