Magma V2.19-8 Tue Aug 20 2013 23:47:35 on localhost [Seed = 3954016692] Type ? for help. Type -D to quit. Loading file "L11a125__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a125 geometric_solution 11.15439127 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 0 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 -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 0.815850615132 0.543621076120 0 0 4 2 0132 1302 0132 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 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151160158680 0.565602598605 1 0 3 5 3120 0132 0321 0132 0 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 1 0 -1 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 1.407825551219 1.084559922271 6 7 2 0 0132 0132 0321 0132 0 1 0 1 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 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 0.653976303176 0.615301201240 8 8 6 1 0132 1230 1230 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 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 0.275659245962 1.191400354635 6 7 2 9 2103 0213 0132 0132 0 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 1 -1 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 0.387817555010 0.710282887387 3 9 5 4 0132 3120 2103 3012 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 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 0.178001440686 1.441423299047 10 3 5 10 0132 0132 0213 2103 0 1 1 0 0 0 0 0 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 0 0 11 0 1 -12 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188433887413 1.156448450876 4 10 4 11 0132 3201 3012 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 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 0.815664679333 0.796697987212 11 6 5 10 3120 3120 0132 2031 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 0 0 0 0 0 0 0 0 0 -1 1 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 0.455481674554 1.705604504005 7 9 8 7 0132 1302 2310 2103 1 1 0 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 -11 0 -1 12 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188433887413 1.156448450876 11 11 8 9 1230 3012 0132 3120 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 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 0.561238417487 0.595597433811 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_2']), 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_1001_3']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0011_4'], '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_0101_9']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0011_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_11']), '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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_11'], 'c_0110_10' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : negation(d['c_0101_2']), '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_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_4'], '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_4, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_9, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 167/1316*c_1001_3^5 - 493/1316*c_1001_3^4 - 171/658*c_1001_3^3 - 555/658*c_1001_3^2 - 159/1316*c_1001_3 + 2733/1316, c_0011_0 - 1, c_0011_10 - 37/329*c_1001_3^5 - 7/47*c_1001_3^4 + 5/329*c_1001_3^3 - 166/329*c_1001_3^2 + 72/329*c_1001_3 - 4/47, c_0011_11 + 23/329*c_1001_3^5 - 2/47*c_1001_3^4 - 12/329*c_1001_3^3 + 201/329*c_1001_3^2 - 436/329*c_1001_3 + 66/47, c_0011_4 + 38/329*c_1001_3^5 + 11/47*c_1001_3^4 + 66/329*c_1001_3^3 + 375/329*c_1001_3^2 - 234/329*c_1001_3 + 13/47, c_0011_5 - 1, c_0011_9 - 75/329*c_1001_3^5 - 18/47*c_1001_3^4 - 61/329*c_1001_3^3 - 541/329*c_1001_3^2 + 306/329*c_1001_3 - 17/47, c_0101_0 + 38/329*c_1001_3^5 + 11/47*c_1001_3^4 + 66/329*c_1001_3^3 + 375/329*c_1001_3^2 + 95/329*c_1001_3 - 34/47, c_0101_1 - 1, c_0101_2 - 38/329*c_1001_3^5 - 11/47*c_1001_3^4 - 66/329*c_1001_3^3 - 375/329*c_1001_3^2 - 95/329*c_1001_3 - 13/47, c_0101_9 - 38/329*c_1001_3^5 - 11/47*c_1001_3^4 - 66/329*c_1001_3^3 - 375/329*c_1001_3^2 - 95/329*c_1001_3 - 13/47, c_1001_0 - 38/329*c_1001_3^5 - 11/47*c_1001_3^4 - 66/329*c_1001_3^3 - 375/329*c_1001_3^2 - 95/329*c_1001_3 - 13/47, c_1001_3^6 + 2*c_1001_3^5 + c_1001_3^4 + 8*c_1001_3^3 - 3*c_1001_3^2 - 2*c_1001_3 + 7 ], 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_4, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_9, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 557423/883454*c_1001_3^7 - 20872/33979*c_1001_3^6 + 1339278/441727*c_1001_3^5 - 45945/883454*c_1001_3^4 - 3958810/441727*c_1001_3^3 + 895824/40157*c_1001_3^2 - 12253590/441727*c_1001_3 + 5409974/441727, c_0011_0 - 1, c_0011_10 - 154/3089*c_1001_3^7 + 8/9267*c_1001_3^6 - 1915/9267*c_1001_3^5 - 547/3089*c_1001_3^4 + 6697/9267*c_1001_3^3 - 1826/3089*c_1001_3^2 + 2150/9267*c_1001_3 + 6844/9267, c_0011_11 - 2132/9267*c_1001_3^7 - 741/3089*c_1001_3^6 - 10375/9267*c_1001_3^5 - 19327/9267*c_1001_3^4 + 13708/9267*c_1001_3^3 - 26162/9267*c_1001_3^2 - 482/9267*c_1001_3 + 36571/9267, c_0011_4 - 1532/9267*c_1001_3^7 - 1070/9267*c_1001_3^6 - 2402/3089*c_1001_3^5 - 11419/9267*c_1001_3^4 + 3890/3089*c_1001_3^3 - 25667/9267*c_1001_3^2 + 10526/9267*c_1001_3 + 5831/3089, c_0011_5 + 1, c_0011_9 + 1994/9267*c_1001_3^7 + 354/3089*c_1001_3^6 + 9121/9267*c_1001_3^5 + 13060/9267*c_1001_3^4 - 18367/9267*c_1001_3^3 + 31145/9267*c_1001_3^2 - 12676/9267*c_1001_3 - 24337/9267, c_0101_0 + 1532/9267*c_1001_3^7 + 1070/9267*c_1001_3^6 + 2402/3089*c_1001_3^5 + 11419/9267*c_1001_3^4 - 3890/3089*c_1001_3^3 + 25667/9267*c_1001_3^2 - 1259/9267*c_1001_3 - 8920/3089, c_0101_1 - 1, c_0101_2 - 1532/9267*c_1001_3^7 - 1070/9267*c_1001_3^6 - 2402/3089*c_1001_3^5 - 11419/9267*c_1001_3^4 + 3890/3089*c_1001_3^3 - 25667/9267*c_1001_3^2 + 1259/9267*c_1001_3 + 5831/3089, c_0101_9 + 1532/9267*c_1001_3^7 + 1070/9267*c_1001_3^6 + 2402/3089*c_1001_3^5 + 11419/9267*c_1001_3^4 - 3890/3089*c_1001_3^3 + 25667/9267*c_1001_3^2 - 1259/9267*c_1001_3 - 5831/3089, c_1001_0 - 1532/9267*c_1001_3^7 - 1070/9267*c_1001_3^6 - 2402/3089*c_1001_3^5 - 11419/9267*c_1001_3^4 + 3890/3089*c_1001_3^3 - 25667/9267*c_1001_3^2 + 1259/9267*c_1001_3 + 5831/3089, c_1001_3^8 + 4*c_1001_3^6 + 4*c_1001_3^5 - 14*c_1001_3^4 + 20*c_1001_3^3 - 14*c_1001_3^2 - 12*c_1001_3 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB