Magma V2.19-8 Tue Aug 20 2013 17:56:19 on localhost [Seed = 3431823614] Type ? for help. Type -D to quit. Loading file "10^2_18__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_18 geometric_solution 11.28460298 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 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 1 -1 0 0 0 0 0 1 0 -1 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562635700712 1.010807527276 0 0 5 4 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579586360922 0.755297380546 6 0 4 7 0132 0132 3012 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -4 0 0 4 0 4 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813847890358 1.069500349975 6 5 7 0 2031 2031 0132 0132 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 3 0 -3 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375567063067 1.138055587665 6 2 1 8 1023 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970072367998 0.794298060309 3 7 9 1 1302 2103 0132 0132 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 3 0 -3 0 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037690530725 1.193057440751 2 4 3 10 0132 1023 1302 0132 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 4 0 -4 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 0.556045114576 0.480229028753 11 5 2 3 0132 2103 0132 0132 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 4 0 -4 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 0.356025517635 0.639344788968 9 10 4 9 1230 1023 0132 0132 0 0 1 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 0 0 0 -3 0 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026453084827 0.837346916478 11 8 8 5 3120 3012 0132 0132 0 0 0 1 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 0 0 0 0 0 -3 3 0 3 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026453084827 0.837346916478 8 11 6 11 1023 2103 0132 1302 0 0 1 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 4 0 -4 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037690530725 1.193057440751 7 10 10 9 0132 2103 2031 3120 1 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 -1 0 1 -4 0 4 0 4 -4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026453084827 0.837346916478 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : negation(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' : negation(d['1']), 's_0_4' : negation(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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1100_1'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_3']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10']})} 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_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 129/5576*c_1100_1^3 - 647/5576*c_1100_1^2 + 54/697*c_1100_1 - 111/5576, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 4*c_1100_1^3 - 10*c_1100_1^2 - 8*c_1100_1 + 8, c_0011_3 - 4*c_1100_1^3 - 10*c_1100_1^2 - 9*c_1100_1 + 8, c_0011_5 + c_1100_1^3 + 3*c_1100_1^2 + 3*c_1100_1 - 2, c_0011_9 + 1, c_0101_0 - 4*c_1100_1^3 - 10*c_1100_1^2 - 10*c_1100_1 + 7, c_0101_1 - c_1100_1^3 - 3*c_1100_1^2 - 3*c_1100_1 + 2, c_0101_10 - 4*c_1100_1^3 - 10*c_1100_1^2 - 9*c_1100_1 + 8, c_0101_11 + 8*c_1100_1^3 + 20*c_1100_1^2 + 17*c_1100_1 - 16, c_1001_4 + 3*c_1100_1^3 + 8*c_1100_1^2 + 8*c_1100_1 - 5, c_1100_1^4 + 2*c_1100_1^3 + c_1100_1^2 - 3*c_1100_1 + 1 ], 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_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 311177/344358912*c_1100_1^6 - 828157/344358912*c_1100_1^5 - 518699/344358912*c_1100_1^4 + 39289/14348288*c_1100_1^3 + 3292135/86089728*c_1100_1^2 + 4670163/114786304*c_1100_1 - 5192327/86089728, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 2665/84072*c_1100_1^6 + 2953/84072*c_1100_1^5 - 5587/84072*c_1100_1^4 + 3737/14012*c_1100_1^3 + 40387/42036*c_1100_1^2 - 27639/28024*c_1100_1 + 35194/10509, c_0011_3 + 2665/84072*c_1100_1^6 - 2953/84072*c_1100_1^5 + 5587/84072*c_1100_1^4 - 3737/14012*c_1100_1^3 - 40387/42036*c_1100_1^2 + 55663/28024*c_1100_1 - 35194/10509, c_0011_5 - 5947/168144*c_1100_1^6 + 3853/168144*c_1100_1^5 - 7909/168144*c_1100_1^4 + 3747/14012*c_1100_1^3 + 42083/42036*c_1100_1^2 - 77311/56048*c_1100_1 + 33704/10509, c_0011_9 - 1, c_0101_0 - 3833/84072*c_1100_1^6 + 6629/84072*c_1100_1^5 - 10307/84072*c_1100_1^4 + 4899/14012*c_1100_1^3 + 39893/42036*c_1100_1^2 - 84859/28024*c_1100_1 + 72236/10509, c_0101_1 + 655/42036*c_1100_1^6 - 77/21018*c_1100_1^5 + 2359/42036*c_1100_1^4 - 2251/14012*c_1100_1^3 - 16757/42036*c_1100_1^2 + 1253/3503*c_1100_1 - 18404/10509, c_0101_10 + 2665/84072*c_1100_1^6 - 2953/84072*c_1100_1^5 + 5587/84072*c_1100_1^4 - 3737/14012*c_1100_1^3 - 40387/42036*c_1100_1^2 + 55663/28024*c_1100_1 - 35194/10509, c_0101_11 + 2665/42036*c_1100_1^6 - 2953/42036*c_1100_1^5 + 5587/42036*c_1100_1^4 - 3737/7006*c_1100_1^3 - 40387/21018*c_1100_1^2 + 41651/14012*c_1100_1 - 70388/10509, c_1001_4 + 745/28024*c_1100_1^6 - 1325/28024*c_1100_1^5 + 1667/28024*c_1100_1^4 - 4041/14012*c_1100_1^3 - 6361/14012*c_1100_1^2 + 50073/28024*c_1100_1 - 12980/3503, c_1100_1^7 + c_1100_1^6 - c_1100_1^5 - 4*c_1100_1^4 - 44*c_1100_1^3 - c_1100_1^2 + 16*c_1100_1 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB