Magma V2.19-8 Wed Aug 21 2013 01:00:13 on localhost [Seed = 2446822061] Type ? for help. Type -D to quit. Loading file "L13n87__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n87 geometric_solution 11.57189681 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 3012 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 1 0 -1 0 0 1 0 0 0 0 12 -1 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.173808260946 1.296642666864 0 4 6 5 0132 0132 0132 0132 1 1 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 -1 0 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743819408355 0.639505008712 3 0 0 7 2031 0132 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 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 0.616290681472 0.423862985660 7 4 2 0 1023 2031 1302 0132 1 1 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 1 0 -1 0 0 0 0 -11 0 0 11 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200154373457 0.522445616566 3 1 8 7 1302 0132 0132 2310 1 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 -11 11 1 0 -1 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 0.681168855092 0.300363536835 7 8 1 9 3012 0132 0132 0132 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 -1 0 0 1 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109796221549 0.795097117257 10 8 11 1 0132 2031 0132 0132 1 1 1 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 -12 12 0 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 0.255912480035 1.723424685990 4 3 2 5 3201 1023 0132 1230 1 1 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 -1 0 0 1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758109687919 0.728920606999 6 5 12 4 1302 0132 0132 0132 1 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 -11 11 -1 0 0 1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.688493247610 1.067299807909 10 10 5 11 2103 1302 0132 0132 1 1 0 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 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 0.180276015130 0.834547811876 6 12 9 9 0132 3012 2103 2031 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180276015130 0.834547811876 12 12 9 6 1023 0213 0132 0132 1 1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0 -12 -1 0 0 1 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180276015130 0.834547811876 10 11 11 8 1230 1023 0213 0132 1 1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -12 11 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599030637818 0.609863462903 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_6'], 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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_1100_8' : d['c_0011_3'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_4'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], '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_1'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 313317996069/43425190400*c_1100_1^6 + 227879067231/43425190400*c_1100_1^5 - 928333896069/21712595200*c_1100_1^4 + 93402279611/1357037200*c_1100_1^3 + 684732745889/4342519040*c_1100_1^2 - 17173293132733/43425190400*c_1100_1 + 17468705040333/43425190400, c_0011_0 - 1, c_0011_10 + c_1100_1, c_0011_11 + 1, c_0011_3 + 175/2692*c_1100_1^6 + 719/2692*c_1100_1^5 + 259/1346*c_1100_1^4 - 124/673*c_1100_1^3 + 1083/1346*c_1100_1^2 + 4657/2692*c_1100_1 + 2001/2692, c_0011_5 + 223/5384*c_1100_1^6 + 747/5384*c_1100_1^5 + 7/2692*c_1100_1^4 - 129/673*c_1100_1^3 + 2503/2692*c_1100_1^2 + 6965/5384*c_1100_1 - 6203/5384, c_0101_0 - 465/5384*c_1100_1^6 - 1449/5384*c_1100_1^5 + 927/2692*c_1100_1^4 + 607/673*c_1100_1^3 - 6185/2692*c_1100_1^2 - 3683/5384*c_1100_1 + 23449/5384, c_0101_1 - 175/2692*c_1100_1^6 - 719/2692*c_1100_1^5 - 259/1346*c_1100_1^4 + 124/673*c_1100_1^3 - 1083/1346*c_1100_1^2 - 4657/2692*c_1100_1 - 2001/2692, c_0101_11 - 1, c_0101_2 - 299/5384*c_1100_1^6 - 567/5384*c_1100_1^5 + 1065/2692*c_1100_1^4 + 179/673*c_1100_1^3 - 4527/2692*c_1100_1^2 + 7103/5384*c_1100_1 + 12687/5384, c_0101_6 - 175/2692*c_1100_1^6 - 719/2692*c_1100_1^5 - 259/1346*c_1100_1^4 + 124/673*c_1100_1^3 - 1083/1346*c_1100_1^2 - 1965/2692*c_1100_1 - 2001/2692, c_0101_7 - 465/5384*c_1100_1^6 - 1449/5384*c_1100_1^5 + 927/2692*c_1100_1^4 + 607/673*c_1100_1^3 - 6185/2692*c_1100_1^2 - 3683/5384*c_1100_1 + 23449/5384, c_1001_4 - 127/5384*c_1100_1^6 - 691/5384*c_1100_1^5 - 511/2692*c_1100_1^4 - 5/673*c_1100_1^3 + 337/2692*c_1100_1^2 - 7733/5384*c_1100_1 - 10205/5384, c_1100_1^7 + 2*c_1100_1^6 - 5*c_1100_1^5 + 2*c_1100_1^4 + 34*c_1100_1^3 - 27*c_1100_1^2 - 14*c_1100_1 + 71 ], 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 234882289/10475442176*c_1100_1^6 + 520560253/10475442176*c_1100_1^5 - 1293047707/5237721088*c_1100_1^4 + 10187915/20459848*c_1100_1^3 - 4100566513/5237721088*c_1100_1^2 + 7664412529/10475442176*c_1100_1 - 7797093945/10475442176, c_0011_0 - 1, c_0011_10 + c_1100_1, c_0011_11 + 1, c_0011_3 + 391/6082*c_1100_1^6 - 264/3041*c_1100_1^5 + 1232/3041*c_1100_1^4 - 2100/3041*c_1100_1^3 - 211/3041*c_1100_1^2 + 4157/6082*c_1100_1 + 1107/3041, c_0011_5 + 203/24328*c_1100_1^6 - 733/24328*c_1100_1^5 - 317/12164*c_1100_1^4 - 677/3041*c_1100_1^3 - 2925/12164*c_1100_1^2 - 455/24328*c_1100_1 + 7877/24328, c_0101_0 - 695/24328*c_1100_1^6 - 127/24328*c_1100_1^5 - 1731/12164*c_1100_1^4 - 109/3041*c_1100_1^3 + 7857/12164*c_1100_1^2 - 8509/24328*c_1100_1 - 1921/24328, c_0101_1 - 391/6082*c_1100_1^6 + 264/3041*c_1100_1^5 - 1232/3041*c_1100_1^4 + 2100/3041*c_1100_1^3 + 211/3041*c_1100_1^2 - 4157/6082*c_1100_1 - 1107/3041, c_0101_11 + 1, c_0101_2 + 321/24328*c_1100_1^6 - 1219/24328*c_1100_1^5 + 817/12164*c_1100_1^4 - 711/3041*c_1100_1^3 - 251/12164*c_1100_1^2 + 27803/24328*c_1100_1 - 5221/24328, c_0101_6 - 391/6082*c_1100_1^6 + 264/3041*c_1100_1^5 - 1232/3041*c_1100_1^4 + 2100/3041*c_1100_1^3 + 211/3041*c_1100_1^2 - 10239/6082*c_1100_1 - 1107/3041, c_0101_7 - 695/24328*c_1100_1^6 - 127/24328*c_1100_1^5 - 1731/12164*c_1100_1^4 - 109/3041*c_1100_1^3 + 7857/12164*c_1100_1^2 - 8509/24328*c_1100_1 - 1921/24328, c_1001_4 + 1361/24328*c_1100_1^6 - 1379/24328*c_1100_1^5 + 5245/12164*c_1100_1^4 - 1423/3041*c_1100_1^3 + 2081/12164*c_1100_1^2 - 7245/24328*c_1100_1 + 979/24328, c_1100_1^7 - 2*c_1100_1^6 + 7*c_1100_1^5 - 14*c_1100_1^4 + 2*c_1100_1^3 + 21*c_1100_1^2 - 2*c_1100_1 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB