Magma V2.19-8 Tue Aug 20 2013 17:58:08 on localhost [Seed = 610635895] Type ? for help. Type -D to quit. Loading file "10^2_121__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_121 geometric_solution 12.55175922 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.095185256322 1.306152644482 0 5 4 6 0132 0132 0213 0132 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 1 -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 0.410064783046 0.459334159463 7 0 5 6 0132 0132 0132 0213 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 -1 1 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798158507060 1.141374974929 6 8 8 0 0132 0132 1302 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 -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 0.481087205615 0.666609844932 8 1 0 8 3012 0213 0132 0132 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 1 -1 0 0 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481087205615 0.666609844932 9 1 10 2 0132 0132 0132 0132 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 1 -1 0 0 -1 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525807801642 0.635502168041 3 7 1 2 0132 0213 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.136951901139 0.942884026431 2 11 6 12 0132 0132 0213 0132 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 -4 4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525807801642 0.635502168041 3 3 4 4 2031 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.288136230968 0.986381244707 5 11 12 12 0132 1023 2103 2031 1 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 0 1 0 0 0 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 0.604111645053 0.800354567196 11 11 12 5 2031 0321 0132 0132 0 0 0 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 1 0 -1 -1 0 0 1 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604111645053 0.800354567196 9 7 10 10 1023 0132 1302 0321 0 1 0 0 0 0 0 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 0 1 -1 1 0 1 -2 0 1 0 -1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604111645053 0.800354567196 9 9 7 10 2103 1302 0132 0132 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 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 0.604111645053 0.800354567196 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0101_5'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], '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_0011_10']), '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' : d['1'], 's_2_5' : negation(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' : negation(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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1010_6'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_1010_6'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : d['c_1010_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1010_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1010_6'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_10']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : d['c_0101_8']})} 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_3, c_0011_4, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_0101_8, c_1001_0, c_1001_1, c_1001_5, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 12875/5808*c_1001_5^3 - 135745/5808*c_1001_5^2 - 45333/1936*c_1001_5 - 191027/5808, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 5/8*c_1001_5^3 - 1/8*c_1001_5^2 - 7/8*c_1001_5 - 3/8, c_0011_4 + 5/8*c_1001_5^3 + 11/8*c_1001_5^2 + 11/8*c_1001_5 + 13/8, c_0101_0 + 5/4*c_1001_5^3 + 3/2*c_1001_5^2 + 9/4*c_1001_5 + 2, c_0101_10 - 1, c_0101_12 + c_1001_5, c_0101_5 + c_1001_5 + 1, c_0101_8 - 5/8*c_1001_5^3 - 1/8*c_1001_5^2 - 11/8*c_1001_5 + 1/8, c_1001_0 - 5/8*c_1001_5^3 - 11/8*c_1001_5^2 - 15/8*c_1001_5 - 17/8, c_1001_1 - 5/8*c_1001_5^3 - 1/8*c_1001_5^2 - 7/8*c_1001_5 - 3/8, c_1001_5^4 + 6/5*c_1001_5^3 + 16/5*c_1001_5^2 + 2*c_1001_5 + 11/5, c_1010_6 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_0101_8, c_1001_0, c_1001_1, c_1001_5, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 483/64*c_1001_5^4 + 97/32*c_1001_5^3 + 947/16*c_1001_5^2 + 1247/32*c_1001_5 + 3297/64, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 1/8*c_1001_5^4 - 1/8*c_1001_5^3 + 9/8*c_1001_5^2 + 1/8*c_1001_5 + 3/4, c_0011_4 + 1/8*c_1001_5^4 + 1/8*c_1001_5^3 + 5/8*c_1001_5^2 + 7/8*c_1001_5 + 1/4, c_0101_0 + 1/2*c_1001_5^2 + 1/2*c_1001_5 + 1, c_0101_10 - 1, c_0101_12 + c_1001_5, c_0101_5 + c_1001_5 + 1, c_0101_8 + 1/8*c_1001_5^4 + 1/8*c_1001_5^3 + 9/8*c_1001_5^2 + 3/8*c_1001_5 + 1/4, c_1001_0 + 1/4*c_1001_5^4 + 7/4*c_1001_5^2 + 1, c_1001_1 + 1/8*c_1001_5^4 - 1/8*c_1001_5^3 + 9/8*c_1001_5^2 + 1/8*c_1001_5 + 3/4, c_1001_5^5 + 8*c_1001_5^3 + 2*c_1001_5^2 + 7*c_1001_5 - 2, c_1010_6 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_0101_8, c_1001_0, c_1001_1, c_1001_5, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 23542761/7840000*c_1001_5^7 + 8641643/7840000*c_1001_5^6 + 16588031/1120000*c_1001_5^5 + 35888539/7840000*c_1001_5^4 + 220309571/7840000*c_1001_5^3 + 23792901/1568000*c_1001_5^2 + 95100699/7840000*c_1001_5 + 121355809/7840000, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 11/128*c_1001_5^7 - 7/128*c_1001_5^6 - 63/128*c_1001_5^5 - 43/128*c_1001_5^4 - 161/128*c_1001_5^3 - 149/128*c_1001_5^2 - 85/128*c_1001_5 - 121/128, c_0011_4 + 33/64*c_1001_5^7 - 17/32*c_1001_5^6 + 165/64*c_1001_5^5 - 73/32*c_1001_5^4 + 363/64*c_1001_5^3 - 87/32*c_1001_5^2 + 175/64*c_1001_5 + 33/32, c_0101_0 + 11/32*c_1001_5^7 - 19/64*c_1001_5^6 + 47/32*c_1001_5^5 - 99/64*c_1001_5^4 + 85/32*c_1001_5^3 - 89/64*c_1001_5^2 + 17/32*c_1001_5 + 79/64, c_0101_10 + 1, c_0101_12 + c_1001_5, c_0101_5 + c_1001_5 - 1, c_0101_8 + 55/128*c_1001_5^7 - 53/128*c_1001_5^6 + 259/128*c_1001_5^5 - 289/128*c_1001_5^4 + 549/128*c_1001_5^3 - 399/128*c_1001_5^2 + 289/128*c_1001_5 - 27/128, c_1001_0 - 55/128*c_1001_5^7 - 13/128*c_1001_5^6 - 279/128*c_1001_5^5 - 53/128*c_1001_5^4 - 557/128*c_1001_5^3 - 175/128*c_1001_5^2 - 325/128*c_1001_5 - 207/128, c_1001_1 - 11/128*c_1001_5^7 - 7/128*c_1001_5^6 - 63/128*c_1001_5^5 - 43/128*c_1001_5^4 - 161/128*c_1001_5^3 - 149/128*c_1001_5^2 - 85/128*c_1001_5 - 121/128, c_1001_5^8 - 4/11*c_1001_5^7 + 56/11*c_1001_5^6 - 20/11*c_1001_5^5 + 118/11*c_1001_5^4 - 12/11*c_1001_5^3 + 64/11*c_1001_5^2 + 36/11*c_1001_5 + 7/11, c_1010_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB