Magma V2.19-8 Wed Aug 21 2013 01:09:50 on localhost [Seed = 3052645415] Type ? for help. Type -D to quit. Loading file "L14n49087__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n49087 geometric_solution 11.98399376 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297629845509 0.850880885416 0 0 4 4 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.633723222360 1.047132582866 5 0 7 6 0132 0132 0132 0132 1 2 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 1 -1 0 -2 0 -1 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 0.388437191050 0.298404321981 8 9 5 0 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250864579023 0.963215315209 10 1 1 7 0132 3201 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 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 0.297629845509 0.850880885416 2 3 7 6 0132 3201 2103 2103 1 2 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 -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 0.381029998105 1.243721396548 7 10 2 5 2103 0132 0132 2103 1 2 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 -3 3 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381029998105 1.243721396548 5 4 6 2 2103 0321 2103 0132 1 2 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 1.320715366585 0.644426325028 3 11 11 12 0132 0132 0321 0132 0 1 1 1 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 -1 2 -1 0 0 0 0 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612967758950 0.793060341412 12 3 11 12 3012 0132 2031 2031 1 0 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 1 0 1 0 -1 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612967758950 0.793060341412 4 6 12 11 0132 0132 2103 2310 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 0 0 -1 0 6 -5 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250864579023 0.963215315209 10 8 8 9 3201 0132 0321 1302 0 1 1 1 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 1 -2 1 1 0 -1 0 0 1 0 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612967758950 0.793060341412 10 9 8 9 2103 1302 0132 1230 0 1 1 1 0 0 0 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 0 1 -1 -6 0 0 6 0 0 0 0 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496998878527 1.018390868980 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0110_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_11']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0110_11']), 's_0_10' : negation(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_0101_0']), 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_9']), 'c_1100_8' : d['c_0110_9'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : negation(d['c_0110_11']), 'c_1010_2' : negation(d['c_0110_11']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0110_9'], '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' : 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' : d['c_0110_9'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0011_7']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_7']), '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_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_7']), '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_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_7, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_9, c_0110_11, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 16729/4312*c_1001_1^2 + 17293/1078*c_1001_1 - 162145/4312, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 2/11*c_1001_1^2 + 8/11*c_1001_1, c_0011_12 - 1/11*c_1001_1^2 + 7/11*c_1001_1 + 1, c_0011_7 + 3/11*c_1001_1^2 + 1/11*c_1001_1 - 1, c_0101_0 - 1/11*c_1001_1^2 + 7/11*c_1001_1 + 1, c_0101_1 - 4/11*c_1001_1^2 + 6/11*c_1001_1, c_0101_2 - 1, c_0101_5 + 2/11*c_1001_1^2 - 3/11*c_1001_1 + 1, c_0101_9 - 1, c_0110_11 + 3/11*c_1001_1^2 + 1/11*c_1001_1 - 1, c_0110_9 - 1, c_1001_1^3 - 3*c_1001_1^2 + 5*c_1001_1 + 11 ], 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_7, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_9, c_0110_11, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 146095/10124*c_1001_1^5 + 348409/20248*c_1001_1^4 - 995/5062*c_1001_1^3 + 386649/20248*c_1001_1^2 + 107307/5062*c_1001_1 - 59483/10124, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 4090/2531*c_1001_1^5 + 1419/2531*c_1001_1^4 - 4458/2531*c_1001_1^3 + 2700/2531*c_1001_1^2 - 1246/2531*c_1001_1 - 4791/2531, c_0011_12 + 3970/2531*c_1001_1^5 - 1593/2531*c_1001_1^4 - 3696/2531*c_1001_1^3 + 3877/2531*c_1001_1^2 - 2181/2531*c_1001_1 - 2664/2531, c_0011_7 - 120/2531*c_1001_1^5 - 3012/2531*c_1001_1^4 + 762/2531*c_1001_1^3 + 1177/2531*c_1001_1^2 - 935/2531*c_1001_1 + 2127/2531, c_0101_0 + 3970/2531*c_1001_1^5 - 1593/2531*c_1001_1^4 - 3696/2531*c_1001_1^3 + 3877/2531*c_1001_1^2 - 2181/2531*c_1001_1 - 2664/2531, c_0101_1 - 3000/2531*c_1001_1^5 + 630/2531*c_1001_1^4 + 1333/2531*c_1001_1^3 - 6009/2531*c_1001_1^2 + 1935/2531*c_1001_1 + 2555/2531, c_0101_2 - 1, c_0101_5 + 2020/2531*c_1001_1^5 + 82/2531*c_1001_1^4 - 5234/2531*c_1001_1^3 + 3388/2531*c_1001_1^2 + 975/2531*c_1001_1 - 4167/2531, c_0101_9 - 1, c_0110_11 - 120/2531*c_1001_1^5 - 3012/2531*c_1001_1^4 + 762/2531*c_1001_1^3 + 1177/2531*c_1001_1^2 - 935/2531*c_1001_1 + 2127/2531, c_0110_9 + 1, c_1001_1^6 + 1/10*c_1001_1^5 - 11/10*c_1001_1^4 + 13/10*c_1001_1^3 - 1/10*c_1001_1^2 - 8/5*c_1001_1 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB