Magma V2.19-8 Tue Aug 20 2013 23:50:33 on localhost [Seed = 1427324535] Type ? for help. Type -D to quit. Loading file "L12n30__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n30 geometric_solution 11.38178609 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 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 0 0 0 0 1 0 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506693467760 0.642142692014 0 5 5 6 0132 0132 0321 0132 0 1 1 1 0 2 -3 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 1 -2 1 0 0 0 0 4 -1 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482305144884 0.994942611202 6 0 5 6 3012 0132 2031 2031 1 0 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 -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 0.482305144884 0.994942611202 4 7 8 0 3120 0132 0132 0132 1 1 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 0 0 0 0 0 0 1 0 -1 0 0 4 0 -4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511184787380 0.481854744158 9 10 0 3 0132 0132 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 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 0.909948806718 0.773836408910 9 1 1 2 3201 0132 0321 1302 0 1 1 1 0 -2 3 -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 2 -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 0.482305144884 0.994942611202 9 2 1 2 2103 1302 0132 1230 0 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 -1 1 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 0.411548718811 0.790943454207 11 3 9 10 0132 0132 0213 0213 1 1 1 1 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 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777991367564 1.370929090227 11 10 11 3 2031 0213 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 0 0 0 0 0 -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 0.813260110562 0.623881657755 4 7 6 5 0132 0213 2103 2310 1 1 1 1 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 -1 0 0 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506693467760 0.642142692014 11 4 8 7 3012 0132 0213 0213 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 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 -0.372939805540 0.847190016681 7 8 8 10 0132 1230 1302 1230 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 -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 0.225923878401 0.593822182718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0110_5']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0011_8'], '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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_0'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_1001_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : d['c_1001_3'], 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0'], 'c_0101_8' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : negation(d['c_0011_0'])})} 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_2, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4817848004608/2429375*c_1001_3^11 + 692804108288/2429375*c_1001_3^10 + 4917161189376/2429375*c_1001_3^9 + 5525024594944/2429375*c_1001_3^8 + 1483763029504/485875*c_1001_3^7 + 9497674774784/2429375*c_1001_3^6 + 7086434672896/2429375*c_1001_3^5 + 4331115196224/2429375*c_1001_3^4 + 3652336692912/2429375*c_1001_3^3 + 240483432816/485875*c_1001_3^2 + 661880008848/2429375*c_1001_3 - 130768482288/2429375, c_0011_0 - 1, c_0011_10 - 2928/23*c_1001_3^11 - 512/23*c_1001_3^10 - 3012/23*c_1001_3^9 - 3420/23*c_1001_3^8 - 4641/23*c_1001_3^7 - 5882/23*c_1001_3^6 - 17919/92*c_1001_3^5 - 11047/92*c_1001_3^4 - 4557/46*c_1001_3^3 - 1567/46*c_1001_3^2 - 1653/92*c_1001_3 + 315/92, c_0011_11 + 6680/23*c_1001_3^11 + 876/23*c_1001_3^10 + 6846/23*c_1001_3^9 + 7603/23*c_1001_3^8 + 20413/46*c_1001_3^7 + 52409/92*c_1001_3^6 + 77933/184*c_1001_3^5 + 95145/368*c_1001_3^4 + 40461/184*c_1001_3^3 + 3267/46*c_1001_3^2 + 914/23*c_1001_3 - 2789/368, c_0011_6 - 6584/23*c_1001_3^11 - 1004/23*c_1001_3^10 - 6702/23*c_1001_3^9 - 7607/23*c_1001_3^8 - 20353/46*c_1001_3^7 - 52081/92*c_1001_3^6 - 78141/184*c_1001_3^5 - 95037/368*c_1001_3^4 - 39981/184*c_1001_3^3 - 6639/92*c_1001_3^2 - 1773/46*c_1001_3 + 2621/368, c_0011_8 - 5352/23*c_1001_3^11 - 684/23*c_1001_3^10 - 5498/23*c_1001_3^9 - 6079/23*c_1001_3^8 - 16363/46*c_1001_3^7 - 41953/92*c_1001_3^6 - 62303/184*c_1001_3^5 - 76677/368*c_1001_3^4 - 32487/184*c_1001_3^3 - 1321/23*c_1001_3^2 - 1485/46*c_1001_3 + 2305/368, c_0101_0 - 6080/23*c_1001_3^11 - 848/23*c_1001_3^10 - 6176/23*c_1001_3^9 - 6984/23*c_1001_3^8 - 9306/23*c_1001_3^7 - 11963/23*c_1001_3^6 - 8895/23*c_1001_3^5 - 5430/23*c_1001_3^4 - 37047/184*c_1001_3^3 - 12207/184*c_1001_3^2 - 6627/184*c_1001_3 + 1249/184, c_0101_1 - 6584/23*c_1001_3^11 - 1004/23*c_1001_3^10 - 6702/23*c_1001_3^9 - 7607/23*c_1001_3^8 - 20353/46*c_1001_3^7 - 52081/92*c_1001_3^6 - 78141/184*c_1001_3^5 - 95037/368*c_1001_3^4 - 39981/184*c_1001_3^3 - 6639/92*c_1001_3^2 - 1773/46*c_1001_3 + 2621/368, c_0101_2 - 1, c_0101_3 - 2928/23*c_1001_3^11 - 512/23*c_1001_3^10 - 3012/23*c_1001_3^9 - 3420/23*c_1001_3^8 - 4641/23*c_1001_3^7 - 5882/23*c_1001_3^6 - 17919/92*c_1001_3^5 - 11047/92*c_1001_3^4 - 4557/46*c_1001_3^3 - 1567/46*c_1001_3^2 - 1653/92*c_1001_3 + 315/92, c_0110_2 - 15936/23*c_1001_3^11 - 2304/23*c_1001_3^10 - 16176/23*c_1001_3^9 - 18288/23*c_1001_3^8 - 24484/23*c_1001_3^7 - 31368/23*c_1001_3^6 - 23353/23*c_1001_3^5 - 14219/23*c_1001_3^4 - 24037/46*c_1001_3^3 - 3980/23*c_1001_3^2 - 4323/46*c_1001_3 + 432/23, c_0110_5 + 6080/23*c_1001_3^11 + 848/23*c_1001_3^10 + 6176/23*c_1001_3^9 + 6984/23*c_1001_3^8 + 9306/23*c_1001_3^7 + 11963/23*c_1001_3^6 + 8895/23*c_1001_3^5 + 5430/23*c_1001_3^4 + 37047/184*c_1001_3^3 + 12207/184*c_1001_3^2 + 6627/184*c_1001_3 - 1249/184, c_1001_3^12 + c_1001_3^10 + c_1001_3^9 + 11/8*c_1001_3^8 + 7/4*c_1001_3^7 + 19/16*c_1001_3^6 + 11/16*c_1001_3^5 + 161/256*c_1001_3^4 + 9/64*c_1001_3^3 + 13/128*c_1001_3^2 - 3/64*c_1001_3 + 1/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB