Magma V2.19-8 Wed Aug 21 2013 00:22:44 on localhost [Seed = 627259271] Type ? for help. Type -D to quit. Loading file "K14n12192__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n12192 geometric_solution 11.81124767 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 0321 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 1 0 -1 14 0 -14 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 0.692110236286 0.983569165740 0 4 5 2 0132 0132 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 -13 14 -1 -14 0 14 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 0.165026738079 0.530414866972 4 0 1 6 0132 0132 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 -1 1 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 -0.956073112189 1.236216130315 7 0 8 0 0132 0321 0132 0132 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 1 -1 0 0 0 -14 14 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521502813982 0.680000169606 2 1 6 7 0132 0132 0213 0132 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 13 0 -13 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 -0.243006952714 0.926454896173 9 10 11 1 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 14 0 -14 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468074079843 1.029650122278 10 4 2 11 0321 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550859197889 0.924727563735 3 12 4 12 0132 0132 0132 1302 0 0 0 0 0 -1 1 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 -13 13 0 0 0 0 0 0 -13 0 13 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579949005010 1.094866166585 12 10 10 3 3012 1302 1023 0132 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 -1 0 1 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.156768113563 0.778037861341 5 9 11 9 0132 1302 1302 2031 0 0 0 0 0 1 -1 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 13 -14 1 0 0 13 -13 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384789863139 0.338526681200 6 5 8 8 0321 0132 1023 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 -14 14 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 0.751129788178 1.235139231803 9 12 6 5 2031 1023 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 14 0 0 -14 -1 1 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777029046402 0.539908571113 11 7 7 8 1023 0132 2031 1230 0 0 0 0 0 1 -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 0 13 -13 0 0 0 0 0 -1 1 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556100361562 0.557497395259 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0011_8'], '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_10']), 'c_0101_10' : negation(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_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' : 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_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_3'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1001_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_3'], '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'], 'c_1100_12' : d['c_0101_3'], '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(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' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_11']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_6, c_0011_8, c_0101_0, c_0101_12, c_0101_3, c_0101_5, c_0101_8, c_1001_0, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 4636672/7*c_1100_1^5 - 13451264/7*c_1100_1^4 - 4448256/7*c_1100_1^3 + 11935744/7*c_1100_1^2 + 654336*c_1100_1 - 359424, c_0011_0 - 1, c_0011_10 - c_1100_1^2 - c_1100_1 - 1/4, c_0011_11 + 2*c_1100_1^4 + 4*c_1100_1^3 - 2*c_1100_1 - 1/8, c_0011_6 + 2*c_1100_1^4 + 4*c_1100_1^3 - 2*c_1100_1 - 1/8, c_0011_8 - 4*c_1100_1^5 - 8*c_1100_1^4 + 2*c_1100_1^3 + 7*c_1100_1^2 - 1/4*c_1100_1 - 3/4, c_0101_0 + 4*c_1100_1^5 + 8*c_1100_1^4 - 2*c_1100_1^3 - 7*c_1100_1^2 + 1/4*c_1100_1 + 3/4, c_0101_12 + 1/2, c_0101_3 - 1/2, c_0101_5 + 2*c_1100_1^4 + 4*c_1100_1^3 + c_1100_1^2 - c_1100_1 - 3/8, c_0101_8 - 4*c_1100_1^5 - 10*c_1100_1^4 - 2*c_1100_1^3 + 7*c_1100_1^2 + 7/4*c_1100_1 - 5/8, c_1001_0 + 4*c_1100_1^5 + 10*c_1100_1^4 + 2*c_1100_1^3 - 7*c_1100_1^2 - 7/4*c_1100_1 + 5/8, c_1001_3 - 1/2, c_1100_1^6 + 3*c_1100_1^5 + 5/4*c_1100_1^4 - 5/2*c_1100_1^3 - 21/16*c_1100_1^2 + 7/16*c_1100_1 + 7/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.750 Total time: 6.960 seconds, Total memory usage: 100.56MB