Magma V2.19-8 Tue Aug 20 2013 23:42:18 on localhost [Seed = 1460744710] Type ? for help. Type -D to quit. Loading file "L13n2030__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2030 geometric_solution 10.82245680 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 0 2 0 0132 2310 0132 3201 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 -1 0 0 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 -0.260064286982 0.756150959500 0 2 4 3 0132 3201 0132 0132 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 -15 0 15 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 0.406733218103 1.182598797776 5 6 1 0 0132 0132 2310 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 0 0 0 0 0 0 0 1 0 0 -1 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406733218103 1.182598797776 7 6 1 8 0132 1023 0132 0132 1 1 1 1 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 -15 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 0.505042337783 0.768301200850 6 6 5 1 2031 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629787877164 0.832117046605 2 9 10 4 0132 0132 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 0 0 0 0 0 0 15 -1 0 -14 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505042337783 0.768301200850 3 2 4 4 1023 0132 1302 2031 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -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 0.629787877164 0.832117046605 3 9 10 10 0132 1023 3012 3120 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 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 0.456193993688 0.835638899357 9 9 3 10 3012 0213 0132 0132 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 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 0.456193993688 0.835638899357 7 5 8 8 1023 0132 0213 1230 1 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 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 0.456193993688 0.835638899357 7 7 8 5 3120 1230 0132 0132 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456193993688 0.835638899357 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : d['c_0110_6'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], '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' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(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' : negation(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_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_2'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0110_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 3127870/3577*c_1100_1^4 + 5549883/3577*c_1100_1^3 - 9149085/7154*c_1100_1^2 + 13690059/7154*c_1100_1 - 7543594/3577, c_0011_0 - 1, c_0011_10 + 1, c_0011_2 - c_1100_1, c_0011_4 + 80/73*c_1100_1^4 - 104/73*c_1100_1^3 + 66/73*c_1100_1^2 - 137/73*c_1100_1 + 141/73, c_0101_0 + 40/73*c_1100_1^4 - 52/73*c_1100_1^3 + 106/73*c_1100_1^2 - 105/73*c_1100_1 + 34/73, c_0101_1 + 92/73*c_1100_1^4 - 178/73*c_1100_1^3 + 127/73*c_1100_1^2 - 205/73*c_1100_1 + 195/73, c_0101_10 + 1, c_0101_2 + 80/73*c_1100_1^4 - 104/73*c_1100_1^3 + 66/73*c_1100_1^2 - 137/73*c_1100_1 + 141/73, c_0101_7 + 40/73*c_1100_1^4 - 52/73*c_1100_1^3 + 106/73*c_1100_1^2 - 178/73*c_1100_1 + 34/73, c_0110_6 - 40/73*c_1100_1^4 + 52/73*c_1100_1^3 - 106/73*c_1100_1^2 + 105/73*c_1100_1 - 34/73, c_1100_1^5 - 5/2*c_1100_1^4 + 11/4*c_1100_1^3 - 13/4*c_1100_1^2 + 4*c_1100_1 - 7/4 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0110_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 101698303171/76446592*c_1100_1^6 + 939000107075/305786368*c_1100_1^5 - 4891762891905/611572736*c_1100_1^4 + 14916449057955/1223145472*c_1100_1^3 - 16652318129067/1223145472*c_1100_1^2 + 1064498575389/152893184*c_1100_1 - 3662876431053/1223145472, c_0011_0 - 1, c_0011_10 + 1, c_0011_2 - c_1100_1, c_0011_4 - 201648/597239*c_1100_1^6 + 672236/597239*c_1100_1^5 - 1520434/597239*c_1100_1^4 + 2605099/597239*c_1100_1^3 - 3118509/597239*c_1100_1^2 + 1721777/597239*c_1100_1 - 320348/597239, c_0101_0 - 87680/597239*c_1100_1^6 + 154304/597239*c_1100_1^5 - 502264/597239*c_1100_1^4 + 388740/597239*c_1100_1^3 - 235998/597239*c_1100_1^2 - 480461/597239*c_1100_1 + 361226/597239, c_0101_1 + 171424/597239*c_1100_1^6 - 15704/597239*c_1100_1^5 + 547784/597239*c_1100_1^4 - 32008/597239*c_1100_1^3 + 188067/597239*c_1100_1^2 + 267351/597239*c_1100_1 + 448571/597239, c_0101_10 - 1, c_0101_2 - 201648/597239*c_1100_1^6 + 672236/597239*c_1100_1^5 - 1520434/597239*c_1100_1^4 + 2605099/597239*c_1100_1^3 - 3118509/597239*c_1100_1^2 + 1721777/597239*c_1100_1 - 320348/597239, c_0101_7 - 87680/597239*c_1100_1^6 + 154304/597239*c_1100_1^5 - 502264/597239*c_1100_1^4 + 388740/597239*c_1100_1^3 - 235998/597239*c_1100_1^2 + 116778/597239*c_1100_1 + 361226/597239, c_0110_6 + 87680/597239*c_1100_1^6 - 154304/597239*c_1100_1^5 + 502264/597239*c_1100_1^4 - 388740/597239*c_1100_1^3 + 235998/597239*c_1100_1^2 + 480461/597239*c_1100_1 - 361226/597239, c_1100_1^7 - 9/4*c_1100_1^6 + 47/8*c_1100_1^5 - 141/16*c_1100_1^4 + 155/16*c_1100_1^3 - 37/8*c_1100_1^2 + 31/16*c_1100_1 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB