Magma V2.19-8 Tue Aug 20 2013 23:56:15 on localhost [Seed = 4273510100] Type ? for help. Type -D to quit. Loading file "L14n15981__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15981 geometric_solution 11.87510630 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 1 -1 0 0 -2 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793973871991 0.928341698082 0 5 7 6 0132 0132 0132 0132 0 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 -2 0 2 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 0.588096801455 0.968858237316 8 0 10 9 0132 0132 0132 0132 1 0 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 1 0 0 -1 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588096801455 0.968858237316 4 8 11 0 1023 0132 0132 0132 1 1 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 1 -1 1 0 -3 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594378122924 0.611071419145 5 3 0 11 0132 1023 0132 3201 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 -1 1 0 2 0 -2 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 0.594378122924 0.611071419145 4 1 8 9 0132 0132 1230 1230 0 1 1 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 0 0 0 0 0 0 0 0 2 -1 -1 -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 0.592711149504 0.725025844381 11 10 1 9 2310 1023 0132 1023 0 1 1 1 0 0 -1 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 0 0 -2 2 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399895579964 0.660842772982 9 8 10 1 1230 1230 1023 0132 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 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 0.528558429290 1.012636448689 2 3 7 5 0132 0132 3012 3012 1 0 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 -1 0 0 1 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592711149504 0.725025844381 5 7 2 6 3012 3012 0132 1023 1 0 1 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 1 0 1 -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 0.528558429290 1.012636448689 6 11 7 2 1023 1023 1023 0132 1 0 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399895579964 0.660842772982 10 4 6 3 1023 2310 3201 0132 1 1 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 1 0 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871145706378 1.062647692586 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_0']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0101_3'], 's_3_11' : 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_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_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_10'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1100_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_5']), '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : negation(d['c_0101_11'])})} 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_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1132761985/585414*c_1100_1^7 + 333131431/1170828*c_1100_1^6 - 2968382635/2341656*c_1100_1^5 + 173851283/1170828*c_1100_1^4 - 16764225335/2341656*c_1100_1^3 - 14248177703/2341656*c_1100_1^2 + 186691684/32523*c_1100_1 - 3490928099/585414, c_0011_0 - 1, c_0011_10 - 77261/422799*c_1100_1^7 + 68533/845598*c_1100_1^6 + 501935/1691196*c_1100_1^5 + 95153/845598*c_1100_1^4 + 692191/1691196*c_1100_1^3 + 506695/1691196*c_1100_1^2 - 203890/140933*c_1100_1 + 203734/422799, c_0011_7 + 6098/422799*c_1100_1^7 - 63371/422799*c_1100_1^6 - 121561/845598*c_1100_1^5 + 227653/845598*c_1100_1^4 + 103615/845598*c_1100_1^3 + 353084/422799*c_1100_1^2 + 157675/281866*c_1100_1 - 226771/422799, c_0011_9 + 6098/422799*c_1100_1^7 - 63371/422799*c_1100_1^6 - 121561/845598*c_1100_1^5 + 227653/845598*c_1100_1^4 + 103615/845598*c_1100_1^3 + 353084/422799*c_1100_1^2 + 157675/281866*c_1100_1 - 226771/422799, c_0101_0 + 85136/422799*c_1100_1^7 + 38788/422799*c_1100_1^6 - 127778/422799*c_1100_1^5 + 17363/422799*c_1100_1^4 - 316156/422799*c_1100_1^3 - 328228/422799*c_1100_1^2 + 70370/140933*c_1100_1 - 106861/422799, c_0101_10 + 15283/32523*c_1100_1^7 - 11999/65046*c_1100_1^6 - 53773/130092*c_1100_1^5 + 2422/32523*c_1100_1^4 - 199169/130092*c_1100_1^3 - 107255/130092*c_1100_1^2 + 53259/21682*c_1100_1 - 51050/32523, c_0101_11 + 24814/422799*c_1100_1^7 - 17419/422799*c_1100_1^6 - 34001/845598*c_1100_1^5 + 92038/422799*c_1100_1^4 + 83003/845598*c_1100_1^3 - 244411/845598*c_1100_1^2 + 145876/140933*c_1100_1 - 119057/422799, c_0101_2 + 15283/32523*c_1100_1^7 - 11999/65046*c_1100_1^6 - 53773/130092*c_1100_1^5 + 2422/32523*c_1100_1^4 - 199169/130092*c_1100_1^3 - 107255/130092*c_1100_1^2 + 53259/21682*c_1100_1 - 51050/32523, c_0101_3 - 85136/422799*c_1100_1^7 - 38788/422799*c_1100_1^6 + 127778/422799*c_1100_1^5 - 17363/422799*c_1100_1^4 + 316156/422799*c_1100_1^3 + 328228/422799*c_1100_1^2 - 70370/140933*c_1100_1 + 106861/422799, c_0101_5 + 94605/140933*c_1100_1^7 - 26137/281866*c_1100_1^6 - 403387/563732*c_1100_1^5 + 16283/140933*c_1100_1^4 - 1284607/563732*c_1100_1^3 - 902409/563732*c_1100_1^2 + 1114973/281866*c_1100_1 - 256837/140933, c_0101_8 - 1, c_1100_1^8 - 1/2*c_1100_1^7 - 3/4*c_1100_1^6 + 1/2*c_1100_1^5 - 15/4*c_1100_1^4 - 3/4*c_1100_1^3 + 5*c_1100_1^2 - 5*c_1100_1 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1001/3*c_0101_5*c_1100_1 + 1619/3*c_0101_5 + 1303*c_1100_1 + 6325/3, c_0011_0 - 1, c_0011_10 + c_0101_5 - 1, c_0011_7 + c_0101_3*c_1100_1 + c_0101_3 + c_0101_5*c_1100_1 + c_0101_5, c_0011_9 - c_0101_3*c_1100_1 - c_0101_3 - c_0101_5, c_0101_0 - c_0101_3 - c_0101_5*c_1100_1 - c_0101_5, c_0101_10 - c_0101_3 - c_0101_5 - c_1100_1, c_0101_11 - c_0101_5*c_1100_1 + c_1100_1, c_0101_2 + c_0101_3 + c_0101_5*c_1100_1 - c_1100_1, c_0101_3^2 + c_0101_3*c_0101_5*c_1100_1 + c_0101_3*c_0101_5 - c_0101_5*c_1100_1 - 2*c_0101_5 + 2, c_0101_5^2 + 2*c_0101_5*c_1100_1 + 2*c_0101_5 - c_1100_1 - 2, c_0101_8 - 1, c_1100_1^2 + c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB