Magma V2.19-8 Tue Aug 20 2013 23:53:24 on localhost [Seed = 4138769665] Type ? for help. Type -D to quit. Loading file "L13n5900__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5900 geometric_solution 11.88890196 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 1 0 1 0 -1 0 1 -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 2 1 -3 3 0 -3 0 0 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488476230977 0.953126183450 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 -3 0 3 0 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574148825220 0.830930717190 6 0 6 7 0132 0132 3012 0132 1 1 1 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 -2 2 0 0 0 0 0 0 3 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263457072941 1.088379093783 7 7 8 0 3120 2103 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 -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 0.590709950207 1.075503658316 9 10 1 9 0132 0132 0132 1302 1 1 1 1 0 -1 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 0 0 0 0 2 0 -2 2 0 0 -2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309078591123 0.812175022647 11 11 9 1 0132 1230 3012 0132 1 1 0 1 0 0 0 0 0 0 -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 3 -3 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426470992863 0.630190170437 2 2 8 11 0132 1230 1302 2031 1 1 0 1 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 3 -3 0 0 0 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426470992863 0.630190170437 9 3 2 3 3120 2103 0132 3120 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389052677905 0.721255025567 6 10 10 3 2031 1230 2031 0132 1 1 1 1 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 1 0 -1 -3 0 0 3 -2 2 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426470992863 0.630190170437 4 5 4 7 0132 1230 2031 3120 1 1 1 1 0 1 0 -1 1 0 -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 -3 0 3 -2 0 2 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389052677905 0.721255025567 11 4 8 8 3201 0132 3012 1302 1 1 1 1 0 1 -1 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 -2 2 0 3 0 -1 -2 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263457072941 1.088379093783 5 6 5 10 0132 1302 3012 2310 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 3 0 -3 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263457072941 1.088379093783 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_1001_4'], '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_0101_1'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : negation(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' : negation(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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : negation(d['c_1001_4']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : 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' : negation(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_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], '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_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0011_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_11, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 186/23*c_1001_4^4 + 438/23*c_1001_4^3 - 3529/46*c_1001_4^2 + 9983/92*c_1001_4 - 1274/23, c_0011_0 - 1, c_0011_10 - 24/23*c_1001_4^4 + 80/23*c_1001_4^3 - 78/23*c_1001_4^2 + 20/23*c_1001_4 + 16/23, c_0011_11 - 88/23*c_1001_4^4 + 232/23*c_1001_4^3 - 286/23*c_1001_4^2 + 173/23*c_1001_4 - 18/23, c_0011_3 + c_1001_4 - 1, c_0011_7 + 8/23*c_1001_4^4 + 4/23*c_1001_4^3 - 20/23*c_1001_4^2 + 24/23*c_1001_4 - 13/23, c_0011_8 - 8/23*c_1001_4^4 - 4/23*c_1001_4^3 + 20/23*c_1001_4^2 - 24/23*c_1001_4 + 13/23, c_0101_0 - 1, c_0101_1 - 1, c_0101_3 - 24/23*c_1001_4^4 + 80/23*c_1001_4^3 - 78/23*c_1001_4^2 + 20/23*c_1001_4 + 16/23, c_0101_8 - 24/23*c_1001_4^4 + 80/23*c_1001_4^3 - 124/23*c_1001_4^2 + 89/23*c_1001_4 - 30/23, c_0101_9 + c_1001_4 - 1, c_1001_4^5 - 4*c_1001_4^4 + 27/4*c_1001_4^3 - 47/8*c_1001_4^2 + 17/8*c_1001_4 + 1/8 ], 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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 569582659224/1072203997*c_0101_9*c_1001_4^6 + 3693628636398/1072203997*c_0101_9*c_1001_4^5 - 8718998353086/1072203997*c_0101_9*c_1001_4^4 + 6905482717278/1072203997*c_0101_9*c_1001_4^3 + 5788173775046/1072203997*c_0101_9*c_1001_4^2 - 14235564652653/1072203997*c_0101_9*c_1001_4 + 7716171757104/1072203997*c_0101_9 + 1198817435360/1072203997*c_1001_4^6 - 7763157984668/1072203997*c_1001_4^5 + 18283289702801/1072203997*c_1001_4^4 - 14412239791844/1072203997*c_1001_4^3 - 12202440347149/1072203997*c_1001_4^2 + 29804301802171/1072203997*c_1001_4 - 16096131891279/1072203997, c_0011_0 - 1, c_0011_10 - 128/331*c_0101_9*c_1001_4^6 + 844/331*c_0101_9*c_1001_4^5 - 1583/331*c_0101_9*c_1001_4^4 + 191/331*c_0101_9*c_1001_4^3 + 2229/331*c_0101_9*c_1001_4^2 - 1519/331*c_0101_9*c_1001_4 - 302/331*c_0101_9 - c_1001_4 + 2, c_0011_11 - 1572/331*c_0101_9*c_1001_4^6 + 8669/331*c_0101_9*c_1001_4^5 - 16907/331*c_0101_9*c_1001_4^4 + 8914/331*c_0101_9*c_1001_4^3 + 14890/331*c_0101_9*c_1001_4^2 - 24727/331*c_0101_9*c_1001_4 + 10793/331*c_0101_9 + 1156/331*c_1001_4^6 - 6257/331*c_1001_4^5 + 11514/331*c_1001_4^4 - 4404/331*c_1001_4^3 - 11866/331*c_1001_4^2 + 15570/331*c_1001_4 - 5320/331, c_0011_3 + c_0101_9 + 940/331*c_1001_4^6 - 5743/331*c_1001_4^5 + 12463/331*c_1001_4^4 - 8033/331*c_1001_4^3 - 10525/331*c_1001_4^2 + 19606/331*c_1001_4 - 8850/331, c_0011_7 + 1028/331*c_0101_9*c_1001_4^6 - 5413/331*c_0101_9*c_1001_4^5 + 9931/331*c_0101_9*c_1001_4^4 - 4213/331*c_0101_9*c_1001_4^3 - 9637/331*c_0101_9*c_1001_4^2 + 14051/331*c_0101_9*c_1001_4 - 5622/331*c_0101_9 - 968/331*c_1001_4^6 + 5638/331*c_1001_4^5 - 11537/331*c_1001_4^4 + 6306/331*c_1001_4^3 + 10423/331*c_1001_4^2 - 17011/331*c_1001_4 + 7191/331, c_0011_8 + 1028/331*c_0101_9*c_1001_4^6 - 5413/331*c_0101_9*c_1001_4^5 + 9931/331*c_0101_9*c_1001_4^4 - 4213/331*c_0101_9*c_1001_4^3 - 9637/331*c_0101_9*c_1001_4^2 + 14051/331*c_0101_9*c_1001_4 - 5622/331*c_0101_9 - 440/331*c_1001_4^6 + 2322/331*c_1001_4^5 - 4221/331*c_1001_4^4 + 1422/331*c_1001_4^3 + 4828/331*c_1001_4^2 - 5987/331*c_1001_4 + 2065/331, c_0101_0 - 1, c_0101_1 + 4*c_0101_9*c_1001_4^6 - 25*c_0101_9*c_1001_4^5 + 56*c_0101_9*c_1001_4^4 - 39*c_0101_9*c_1001_4^3 - 43*c_0101_9*c_1001_4^2 + 88*c_0101_9*c_1001_4 - 42*c_0101_9, c_0101_3 + 128/331*c_0101_9*c_1001_4^6 - 844/331*c_0101_9*c_1001_4^5 + 1583/331*c_0101_9*c_1001_4^4 - 191/331*c_0101_9*c_1001_4^3 - 2229/331*c_0101_9*c_1001_4^2 + 1519/331*c_0101_9*c_1001_4 + 302/331*c_0101_9 + 1028/331*c_1001_4^6 - 5413/331*c_1001_4^5 + 9931/331*c_1001_4^4 - 4213/331*c_1001_4^3 - 9637/331*c_1001_4^2 + 13720/331*c_1001_4 - 5622/331, c_0101_8 + 1296/331*c_1001_4^6 - 7056/331*c_1001_4^5 + 13835/331*c_1001_4^4 - 7354/331*c_1001_4^3 - 12680/331*c_1001_4^2 + 20800/331*c_1001_4 - 8610/331, c_0101_9^2 + 940/331*c_0101_9*c_1001_4^6 - 5743/331*c_0101_9*c_1001_4^5 + 12463/331*c_0101_9*c_1001_4^4 - 8033/331*c_0101_9*c_1001_4^3 - 10525/331*c_0101_9*c_1001_4^2 + 19606/331*c_0101_9*c_1001_4 - 8850/331*c_0101_9 + c_1001_4^2 - 2*c_1001_4 + 1, c_1001_4^7 - 29/4*c_1001_4^6 + 81/4*c_1001_4^5 - 95/4*c_1001_4^4 - c_1001_4^3 + 131/4*c_1001_4^2 - 65/2*c_1001_4 + 41/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB