Magma V2.19-8 Tue Aug 20 2013 23:48:44 on localhost [Seed = 189620653] Type ? for help. Type -D to quit. Loading file "L12a1848__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1848 geometric_solution 10.76387676 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 0 2 2 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 -1 1 0 1 0 -1 0 0 0 0 0 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055933991121 0.742160277787 0 4 5 4 0132 0132 0132 1230 0 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.654663722458 0.514651947583 0 0 6 4 2031 0132 0132 0132 0 0 1 2 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 -1 0 0 1 -3 4 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899023447521 1.339807597054 7 8 0 5 0132 0132 0132 0321 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901290779825 0.924716334262 1 1 2 8 3012 0132 0132 0132 0 0 2 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 -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 0.899023447521 1.339807597054 7 3 6 1 1302 0321 1302 0132 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.459471592090 0.554577345198 5 9 10 2 2031 0132 0132 0132 0 0 2 2 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 -2 1 1 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244359725063 0.825155649471 3 5 7 7 0132 2031 1230 3012 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.459471592090 0.554577345198 9 3 4 11 0132 0132 0132 0132 0 0 2 2 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 0 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244359725063 0.825155649471 8 6 11 10 0132 0132 0213 3120 0 0 2 2 0 -1 0 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 2 0 -2 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.096441887870 0.509625071470 9 11 11 6 3120 2031 0132 0132 0 0 2 0 0 -1 0 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 1 0 -1 0 0 0 0 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459471592090 0.554577345198 10 9 8 10 1302 0213 0132 0132 0 0 0 2 0 0 0 0 0 0 0 0 1 0 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 1 0 -1 0 -1 0 0 1 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459471592090 0.554577345198 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : negation(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' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_10' : negation(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' : 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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_1100_10'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_1100_10'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0101_10'], 'c_0110_10' : d['c_0101_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_5, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_6, c_1001_1, c_1001_11, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2067329128/700081725*c_1001_11^7 + 10876760546/233360575*c_1001_11^6 + 6845152736/700081725*c_1001_11^5 + 4053190711/700081725*c_1001_11^4 - 12754344494/140016345*c_1001_11^3 - 406268573/28003269*c_1001_11^2 - 337413522/233360575*c_1001_11 - 6577120856/700081725, c_0011_0 - 1, c_0011_10 + 127812/1333489*c_1001_11^7 + 2029077/1333489*c_1001_11^6 + 626422/1333489*c_1001_11^5 + 563806/1333489*c_1001_11^4 - 4105467/1333489*c_1001_11^3 - 1399206/1333489*c_1001_11^2 - 441104/1333489*c_1001_11 - 869291/1333489, c_0011_3 + 15915/1333489*c_1001_11^7 + 284177/1333489*c_1001_11^6 + 599140/1333489*c_1001_11^5 + 601985/1333489*c_1001_11^4 + 392193/1333489*c_1001_11^3 - 2305043/1333489*c_1001_11^2 - 478973/1333489*c_1001_11 - 25393/1333489, c_0011_5 - 178211/1333489*c_1001_11^7 - 3000050/1333489*c_1001_11^6 - 3581581/1333489*c_1001_11^5 - 1516639/1333489*c_1001_11^4 + 5459076/1333489*c_1001_11^3 + 5852190/1333489*c_1001_11^2 + 1486756/1333489*c_1001_11 + 879909/1333489, c_0101_1 - 1, c_0101_10 + 288428/1333489*c_1001_11^7 + 4701127/1333489*c_1001_11^6 + 3363378/1333489*c_1001_11^5 + 2109937/1333489*c_1001_11^4 - 7275858/1333489*c_1001_11^3 - 5340240/1333489*c_1001_11^2 - 1903569/1333489*c_1001_11 - 2994288/1333489, c_0101_2 + c_1001_11 + 1, c_0101_4 - 1, c_0101_6 - c_1001_11, c_1001_1 - c_1001_11 - 1, c_1001_11^8 + 17*c_1001_11^7 + 23*c_1001_11^6 + 14*c_1001_11^5 - 23*c_1001_11^4 - 40*c_1001_11^3 - 22*c_1001_11^2 - 14*c_1001_11 - 7, c_1100_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB