Magma V2.19-8 Wed Aug 21 2013 00:56:56 on localhost [Seed = 896741344] Type ? for help. Type -D to quit. Loading file "L13n3136__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3136 geometric_solution 12.08990115 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 1 -2 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 -1 1 1 0 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063513916823 0.712720268790 0 5 2 6 0132 0132 2103 0132 1 1 1 1 0 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 -1 1 -1 0 0 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871464898086 0.619763459428 1 0 8 7 2103 0132 0132 0132 0 1 1 1 0 -1 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 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 0.880870722050 0.864272096541 9 10 11 0 0132 0132 0132 0132 0 1 1 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 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 1.068094709440 0.949569415332 12 6 0 7 0132 2310 0132 0213 0 1 1 1 0 -2 2 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 1 -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 0.534319703929 1.062537988661 10 1 12 7 0213 0132 2310 3120 1 1 1 1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551279693219 0.542395740978 9 8 1 4 2103 2103 0132 3201 1 1 0 1 0 0 1 -1 0 0 0 0 -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 0 -1 1 0 0 -1 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.983040010711 0.520142247683 5 10 2 4 3120 0213 0132 0213 0 1 1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622251290059 0.751183891458 12 6 9 2 3120 2103 0132 0132 0 1 1 1 0 0 1 -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 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 0.459156219044 1.771133036600 3 11 6 8 0132 0132 2103 0132 0 1 1 1 0 -1 2 -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 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 0.573028653876 0.968883663442 5 3 7 11 0213 0132 0213 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118997925868 0.610106335373 12 9 10 3 2103 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 -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 0.118997925868 0.610106335373 4 5 11 8 0132 3201 2103 3120 1 1 1 1 0 1 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 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 0.333042865521 1.034942637385 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_0011_6'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(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_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_1010_7'], 'c_1100_3' : d['c_1010_7'], 'c_1100_2' : negation(d['c_0110_6']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1010_7'], 'c_1100_10' : d['c_1010_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['c_0101_3']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0110_6'])})} 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_12, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_6, c_1001_0, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2340/1643*c_1010_7^3 - 3087/3286*c_1010_7^2 + 20603/3286*c_1010_7 - 1814/1643, c_0011_0 - 1, c_0011_10 - 93/212*c_1010_7^3 + 28/53*c_1010_7^2 - 389/212*c_1010_7 + 325/212, c_0011_12 + 201/212*c_1010_7^3 - 40/53*c_1010_7^2 + 957/212*c_1010_7 - 381/212, c_0011_6 - 3/53*c_1010_7^3 + 19/53*c_1010_7^2 - 4/53*c_1010_7 - 22/53, c_0011_8 + 27/53*c_1010_7^3 - 12/53*c_1010_7^2 + 142/53*c_1010_7 - 14/53, c_0101_0 + 177/212*c_1010_7^3 - 2/53*c_1010_7^2 + 713/212*c_1010_7 + 79/212, c_0101_1 + 93/106*c_1010_7^3 - 56/53*c_1010_7^2 + 389/106*c_1010_7 - 219/106, c_0101_11 - 1, c_0101_3 + 21/106*c_1010_7^3 + 13/53*c_1010_7^2 + 81/106*c_1010_7 - 5/106, c_0110_6 + 27/53*c_1010_7^3 - 12/53*c_1010_7^2 + 89/53*c_1010_7 - 14/53, c_1001_0 - 1, c_1001_2 + 27/53*c_1010_7^3 - 12/53*c_1010_7^2 + 89/53*c_1010_7 - 14/53, c_1010_7^4 - 4/3*c_1010_7^3 + 5*c_1010_7^2 - 11/3*c_1010_7 + 4/3 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_6, c_1001_0, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 32815/47097*c_1010_7^5 - 90886/47097*c_1010_7^4 - 957299/47097*c_1010_7^3 - 22711/15699*c_1010_7^2 + 1651430/47097*c_1010_7 - 109474/5233, c_0011_0 - 1, c_0011_10 - 1444/15699*c_1010_7^5 + 5651/15699*c_1010_7^4 + 34763/15699*c_1010_7^3 - 31196/15699*c_1010_7^2 - 21292/15699*c_1010_7 - 3951/5233, c_0011_12 + 558/5233*c_1010_7^5 - 5993/15699*c_1010_7^4 - 13774/5233*c_1010_7^3 + 20089/15699*c_1010_7^2 + 1606/15699*c_1010_7 + 4805/5233, c_0011_6 + 617/15699*c_1010_7^5 - 1418/15699*c_1010_7^4 - 17800/15699*c_1010_7^3 - 4752/5233*c_1010_7^2 + 8257/15699*c_1010_7 + 2837/5233, c_0011_8 + 13/5233*c_1010_7^5 - 149/15699*c_1010_7^4 - 621/5233*c_1010_7^3 + 4510/15699*c_1010_7^2 + 23464/15699*c_1010_7 - 3086/5233, c_0101_0 + 1405/15699*c_1010_7^5 - 1834/5233*c_1010_7^4 - 32900/15699*c_1010_7^3 + 26686/15699*c_1010_7^2 - 724/5233*c_1010_7 + 7037/5233, c_0101_1 - 742/15699*c_1010_7^5 + 2969/15699*c_1010_7^4 + 16928/15699*c_1010_7^3 - 12812/15699*c_1010_7^2 - 7114/15699*c_1010_7 - 1936/5233, c_0101_11 + 742/15699*c_1010_7^5 - 2969/15699*c_1010_7^4 - 16928/15699*c_1010_7^3 + 12812/15699*c_1010_7^2 + 7114/15699*c_1010_7 + 7169/5233, c_0101_3 - 372/5233*c_1010_7^5 + 2251/15699*c_1010_7^4 + 10927/5233*c_1010_7^3 + 31960/15699*c_1010_7^2 + 7651/15699*c_1010_7 - 1459/5233, c_0110_6 - 13/5233*c_1010_7^5 + 149/15699*c_1010_7^4 + 621/5233*c_1010_7^3 - 4510/15699*c_1010_7^2 - 7765/15699*c_1010_7 - 2147/5233, c_1001_0 - 1, c_1001_2 + 13/5233*c_1010_7^5 - 149/15699*c_1010_7^4 - 621/5233*c_1010_7^3 + 4510/15699*c_1010_7^2 + 7765/15699*c_1010_7 - 3086/5233, c_1010_7^6 - 4*c_1010_7^5 - 23*c_1010_7^4 + 21*c_1010_7^3 - 4*c_1010_7^2 + 9*c_1010_7 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB