Magma V2.19-8 Wed Aug 21 2013 00:04:54 on localhost [Seed = 2648437746] Type ? for help. Type -D to quit. Loading file "L14n6727__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n6727 geometric_solution 11.46039407 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 1 1 1 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 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680992797676 0.822393039992 0 4 5 4 0132 0132 0132 1230 1 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 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 0.409984423907 1.056930170447 0 0 6 4 2031 0132 0132 0132 1 1 0 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 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402680601295 0.721345831885 7 8 0 9 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.916930138548 0.781274061792 1 1 2 9 3012 0132 0132 0213 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 -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 0.402680601295 0.721345831885 7 6 10 1 3120 1023 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177606960008 0.680992797676 5 11 8 2 1023 0132 3201 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 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641412070741 1.374922453196 3 9 8 5 0132 3120 3120 3120 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635944466221 0.486232842758 6 3 7 11 2310 0132 3120 0132 1 1 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 0 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413323687096 0.475297633717 10 7 3 4 2103 3120 0132 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567291073262 0.456455621317 11 11 9 5 3120 3012 2103 0132 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 -1 0 -3 3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781459225012 1.013680324002 10 6 8 10 1230 0132 0132 3120 1 1 1 1 0 0 0 0 1 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 1 -1 -3 0 4 -1 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203235539483 0.942688464075 ==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_0011_11']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : negation(d['c_1001_7']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_11']), '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0110_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_1001_7']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0101_10']), 's_3_1' : negation(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'], '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_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_0011_10'], 'c_0110_10' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0011_10'], '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' : d['c_0101_10'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_4']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], '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_11, c_0011_3, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0110_4, c_1001_11, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 41232/1239025*c_1001_7^7 - 408372/1239025*c_1001_7^6 + 1586768/1239025*c_1001_7^5 - 671074/247805*c_1001_7^4 + 999852/247805*c_1001_7^3 - 5035478/1239025*c_1001_7^2 + 3212988/1239025*c_1001_7 - 1290782/1239025, c_0011_0 - 1, c_0011_10 - 17624/247805*c_1001_7^7 + 128312/247805*c_1001_7^6 - 294826/247805*c_1001_7^5 + 312956/247805*c_1001_7^4 - 522178/247805*c_1001_7^3 + 201462/247805*c_1001_7^2 - 290888/247805*c_1001_7 - 3054/8545, c_0011_11 + 976/8545*c_1001_7^7 - 7112/8545*c_1001_7^6 + 3168/1709*c_1001_7^5 - 14118/8545*c_1001_7^4 + 25132/8545*c_1001_7^3 - 2564/1709*c_1001_7^2 + 4738/8545*c_1001_7 + 901/8545, c_0011_3 + 1, c_0101_1 - 1, c_0101_10 - 524/49561*c_1001_7^7 + 26544/247805*c_1001_7^6 - 101804/247805*c_1001_7^5 + 38776/49561*c_1001_7^4 - 45964/49561*c_1001_7^3 + 98768/247805*c_1001_7^2 + 12431/49561*c_1001_7 - 7764/8545, c_0101_11 - 976/8545*c_1001_7^7 + 7112/8545*c_1001_7^6 - 3168/1709*c_1001_7^5 + 14118/8545*c_1001_7^4 - 25132/8545*c_1001_7^3 + 2564/1709*c_1001_7^2 - 4738/8545*c_1001_7 - 901/8545, c_0101_2 + 27288/247805*c_1001_7^7 - 191112/247805*c_1001_7^6 + 71204/49561*c_1001_7^5 - 36872/247805*c_1001_7^4 - 32204/247805*c_1001_7^3 + 124708/49561*c_1001_7^2 - 667034/247805*c_1001_7 + 15656/8545, c_0101_4 + 1320/49561*c_1001_7^7 - 11860/49561*c_1001_7^6 + 43724/49561*c_1001_7^5 - 97680/49561*c_1001_7^4 + 153620/49561*c_1001_7^3 - 122400/49561*c_1001_7^2 + 112450/49561*c_1001_7 - 1111/1709, c_0110_4 + 33888/247805*c_1001_7^7 - 250412/247805*c_1001_7^6 + 114928/49561*c_1001_7^5 - 525272/247805*c_1001_7^4 + 735896/247805*c_1001_7^3 + 2308/49561*c_1001_7^2 - 104784/247805*c_1001_7 + 10101/8545, c_1001_11 + 33888/247805*c_1001_7^7 - 250412/247805*c_1001_7^6 + 114928/49561*c_1001_7^5 - 525272/247805*c_1001_7^4 + 735896/247805*c_1001_7^3 + 2308/49561*c_1001_7^2 - 104784/247805*c_1001_7 + 10101/8545, c_1001_7^8 - 8*c_1001_7^7 + 22*c_1001_7^6 - 30*c_1001_7^5 + 87/2*c_1001_7^4 - 35*c_1001_7^3 + 28*c_1001_7^2 - 13/2*c_1001_7 + 29/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB