Magma V2.19-8 Wed Aug 21 2013 00:59:12 on localhost [Seed = 3734553989] Type ? for help. Type -D to quit. Loading file "L13n663__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n663 geometric_solution 11.74011858 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 1 -1 -1 0 1 0 1 -11 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694591901170 0.966372501194 0 4 6 5 0132 0132 0132 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 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 0.608654056864 0.571248038812 0 0 8 7 3012 0132 0132 0132 1 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 1 0 -1 0 0 0 0 0 -10 11 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297335465358 0.940829069212 9 10 8 0 0132 0132 3201 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 1 0 -1 0 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 0.015662412963 0.682754254361 6 1 11 12 0321 0132 0132 0132 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 2 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 0.563240556219 0.409917543272 10 11 1 9 0321 0132 0132 0321 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 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 0.526779244394 0.397907007222 4 11 12 1 0321 2031 2031 0132 1 1 1 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 1 -1 0 -1 0 0 1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217308113729 1.142496077623 8 9 2 8 1302 0321 0132 3012 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 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 0.523431831859 0.501784554015 3 7 7 2 2310 2031 1230 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 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316458647590 0.641658227041 3 5 10 7 0132 0321 0321 0321 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 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 0.123258613722 1.371886367348 5 3 9 12 0321 0132 0321 2031 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 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 0.127063108084 1.127955551931 6 5 12 4 1302 0132 2103 0132 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 0 0 0 0 0 0 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.217308113729 1.142496077623 11 10 4 6 2103 1302 0132 1302 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 0 0 1 -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 0.839330954758 0.844716521786 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_12' : negation(d['c_1001_9']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), 'c_0101_10' : negation(d['c_0101_0']), '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' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0110_7'], 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : d['c_0110_7'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : d['c_1001_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0011_7'], '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' : negation(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_4']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_4'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_4'], 'c_0101_12' : negation(d['c_0011_6']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_11, c_0011_12, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_4, c_0110_7, c_1001_0, c_1001_4, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 15640585/2898761008*c_1001_9^7 + 534116031/11595044032*c_1001_9^6 + 636722259/11595044032*c_1001_9^5 + 57195651/1449380504*c_1001_9^4 + 220766113/5797522016*c_1001_9^3 - 148265979/1054094912*c_1001_9^2 - 1953130481/11595044032*c_1001_9 - 7145767511/5797522016, c_0011_0 - 1, c_0011_10 - 1/128*c_1001_9^7 + 9/128*c_1001_9^6 + 3/128*c_1001_9^5 + 37/128*c_1001_9^4 - 35/128*c_1001_9^3 + 59/128*c_1001_9^2 - 31/128*c_1001_9 - 41/128, c_0011_11 + c_1001_9 + 1, c_0011_12 - 1, c_0011_6 - 1, c_0011_7 - 1/64*c_1001_9^7 + 5/32*c_1001_9^6 - 5/64*c_1001_9^5 + 11/32*c_1001_9^4 - 43/64*c_1001_9^3 + 7/32*c_1001_9^2 - 79/64*c_1001_9 + 9/32, c_0011_8 + 1/64*c_1001_9^7 - 1/8*c_1001_9^6 - 15/64*c_1001_9^5 - 3/16*c_1001_9^4 + 3/64*c_1001_9^3 + 3/8*c_1001_9^2 + 43/64*c_1001_9 + 23/16, c_0101_0 - 1/128*c_1001_9^7 + 9/128*c_1001_9^6 + 3/128*c_1001_9^5 + 37/128*c_1001_9^4 - 35/128*c_1001_9^3 + 59/128*c_1001_9^2 - 159/128*c_1001_9 + 87/128, c_0101_4 - 1, c_0110_7 - 1/32*c_1001_9^6 + 5/16*c_1001_9^5 - 5/32*c_1001_9^4 + 5/8*c_1001_9^3 - 27/32*c_1001_9^2 + 9/16*c_1001_9 - 79/32, c_1001_0 + 1/128*c_1001_9^7 - 7/128*c_1001_9^6 - 23/128*c_1001_9^5 - 23/128*c_1001_9^4 - 53/128*c_1001_9^3 + 99/128*c_1001_9^2 + 11/128*c_1001_9 + 251/128, c_1001_4 + c_1001_9 + 2, c_1001_9^8 - 8*c_1001_9^7 - 12*c_1001_9^6 - 40*c_1001_9^5 - 2*c_1001_9^4 - 24*c_1001_9^3 + 100*c_1001_9^2 + 72*c_1001_9 + 169 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_4, c_0110_7, c_1001_0, c_1001_4, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 392309/66549672*c_1001_9^8 - 943867/29577632*c_1001_9^7 - 2490161/59155264*c_1001_9^6 - 43813985/532397376*c_1001_9^5 + 228541/7394408*c_1001_9^4 - 10977331/66549672*c_1001_9^3 - 87975665/532397376*c_1001_9^2 + 96491359/532397376*c_1001_9 - 8955707/266198688, c_0011_0 - 1, c_0011_10 + 1/32*c_1001_9^8 + 1/128*c_1001_9^7 + 25/128*c_1001_9^6 - 3/128*c_1001_9^5 + 93/128*c_1001_9^4 + 35/128*c_1001_9^3 + 139/128*c_1001_9^2 + 31/128*c_1001_9 + 59/128, c_0011_11 - c_1001_9 + 1, c_0011_12 - 1, c_0011_6 + 1, c_0011_7 - 1/16*c_1001_9^8 + 11/64*c_1001_9^7 - 9/32*c_1001_9^6 + 75/64*c_1001_9^5 - 45/32*c_1001_9^4 + 193/64*c_1001_9^3 - 23/32*c_1001_9^2 + 105/64*c_1001_9 + 47/32, c_0011_8 + 1/16*c_1001_9^8 + 13/64*c_1001_9^7 + 1/4*c_1001_9^6 + 49/64*c_1001_9^5 - 1/8*c_1001_9^4 + 207/64*c_1001_9^3 - 5/8*c_1001_9^2 + 147/64*c_1001_9 + 15/16, c_0101_0 - 1/32*c_1001_9^8 - 1/128*c_1001_9^7 - 25/128*c_1001_9^6 + 3/128*c_1001_9^5 - 93/128*c_1001_9^4 - 35/128*c_1001_9^3 - 139/128*c_1001_9^2 - 159/128*c_1001_9 - 187/128, c_0101_4 - 1, c_0110_7 - 1/8*c_1001_9^7 - 5/32*c_1001_9^6 - 11/16*c_1001_9^5 - 1/32*c_1001_9^4 - 3/2*c_1001_9^3 - 23/32*c_1001_9^2 - 35/16*c_1001_9 + 13/32, c_1001_0 + 3/32*c_1001_9^8 - 5/128*c_1001_9^7 + 65/128*c_1001_9^6 - 69/128*c_1001_9^5 + 225/128*c_1001_9^4 - 135/128*c_1001_9^3 + 107/128*c_1001_9^2 + 17/128*c_1001_9 - 89/128, c_1001_4 + c_1001_9 - 2, c_1001_9^9 - 3/4*c_1001_9^8 + 6*c_1001_9^7 - 7*c_1001_9^6 + 24*c_1001_9^5 - 29/2*c_1001_9^4 + 26*c_1001_9^3 + 5*c_1001_9^2 + 7*c_1001_9 + 69/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.520 seconds, Total memory usage: 32.09MB