Magma V2.19-8 Wed Aug 21 2013 01:05:36 on localhost [Seed = 2648409379] Type ? for help. Type -D to quit. Loading file "L14n26596__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26596 geometric_solution 11.92625348 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2310 0132 1 0 0 1 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 -1 1 0 0 0 -1 1 0 0 0 0 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741467138376 0.554944697528 0 0 2 3 0132 3201 2103 2103 1 0 1 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 -8 0 8 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 0.689783592111 1.480630912758 1 0 5 4 2103 0132 0132 0132 1 0 1 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 7 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535771425732 0.471583134561 4 6 0 1 0132 0132 0132 2103 1 0 1 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 1 0 -1 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535771425732 0.471583134561 3 7 2 8 0132 0132 0132 0132 1 0 0 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 1 -1 -1 0 0 1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.447554649172 1.330792418091 8 6 9 2 0132 0321 0132 0132 1 0 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498806957300 0.932827973605 10 3 7 5 0132 0132 0132 0321 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092988107457 0.967105109288 9 4 11 6 2031 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206334590147 0.561779339622 5 11 4 12 0132 0132 0132 0132 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 1 -1 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 0.367683914239 0.330069848651 10 11 7 5 1302 0213 1302 0132 1 0 1 1 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 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706713264143 0.859155821014 6 9 12 12 0132 2031 3201 2031 1 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 0 0 0 0 0 0 0 0 0 -1 1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706713264143 0.859155821014 12 8 9 7 3012 0132 0213 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320940341293 1.526275501482 10 10 8 11 2310 1302 0132 1230 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 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.706713264143 0.859155821014 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0011_12'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : negation(d['c_0011_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_0101_6'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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_0101_7'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : 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' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], '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_1'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_7'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_11'])})} 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_0101_1, c_0101_12, c_0101_4, c_0101_6, c_0101_7, c_1001_0, c_1001_2, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 287420715/63023776*c_1001_7^8 + 708970959/31511888*c_1001_7^7 + 7010444937/63023776*c_1001_7^6 + 4792122005/15755944*c_1001_7^5 + 5316619483/7877972*c_1001_7^4 + 60403799587/63023776*c_1001_7^3 + 63767023813/63023776*c_1001_7^2 + 19963317977/31511888*c_1001_7 + 13157423297/63023776, c_0011_0 - 1, c_0011_10 + 72503/1969493*c_1001_7^8 + 431202/1969493*c_1001_7^7 + 2074123/1969493*c_1001_7^6 + 6193536/1969493*c_1001_7^5 + 13797889/1969493*c_1001_7^4 + 20354595/1969493*c_1001_7^3 + 19723464/1969493*c_1001_7^2 + 10545089/1969493*c_1001_7 + 1687144/1969493, c_0011_11 + 205044/1969493*c_1001_7^8 + 1101742/1969493*c_1001_7^7 + 5334444/1969493*c_1001_7^6 + 15202561/1969493*c_1001_7^5 + 33162630/1969493*c_1001_7^4 + 47270596/1969493*c_1001_7^3 + 44931911/1969493*c_1001_7^2 + 24354630/1969493*c_1001_7 + 3786693/1969493, c_0011_12 - 8910/1969493*c_1001_7^8 - 80264/1969493*c_1001_7^7 - 371617/1969493*c_1001_7^6 - 1397891/1969493*c_1001_7^5 - 3131955/1969493*c_1001_7^4 - 5884855/1969493*c_1001_7^3 - 4973106/1969493*c_1001_7^2 - 3419579/1969493*c_1001_7 + 4336056/1969493, c_0101_1 - 1, c_0101_12 - 205044/1969493*c_1001_7^8 - 1101742/1969493*c_1001_7^7 - 5334444/1969493*c_1001_7^6 - 15202561/1969493*c_1001_7^5 - 33162630/1969493*c_1001_7^4 - 47270596/1969493*c_1001_7^3 - 44931911/1969493*c_1001_7^2 - 24354630/1969493*c_1001_7 - 3786693/1969493, c_0101_4 + 114721/1969493*c_1001_7^8 + 510012/1969493*c_1001_7^7 + 2517087/1969493*c_1001_7^6 + 6213243/1969493*c_1001_7^5 + 13100831/1969493*c_1001_7^4 + 15146291/1969493*c_1001_7^3 + 13292742/1969493*c_1001_7^2 + 3031397/1969493*c_1001_7 + 924196/1969493, c_0101_6 + 8910/1969493*c_1001_7^8 + 80264/1969493*c_1001_7^7 + 371617/1969493*c_1001_7^6 + 1397891/1969493*c_1001_7^5 + 3131955/1969493*c_1001_7^4 + 5884855/1969493*c_1001_7^3 + 4973106/1969493*c_1001_7^2 + 3419579/1969493*c_1001_7 - 2366563/1969493, c_0101_7 - 72503/1969493*c_1001_7^8 - 431202/1969493*c_1001_7^7 - 2074123/1969493*c_1001_7^6 - 6193536/1969493*c_1001_7^5 - 13797889/1969493*c_1001_7^4 - 20354595/1969493*c_1001_7^3 - 19723464/1969493*c_1001_7^2 - 10545089/1969493*c_1001_7 - 1687144/1969493, c_1001_0 - 114721/1969493*c_1001_7^8 - 510012/1969493*c_1001_7^7 - 2517087/1969493*c_1001_7^6 - 6213243/1969493*c_1001_7^5 - 13100831/1969493*c_1001_7^4 - 15146291/1969493*c_1001_7^3 - 13292742/1969493*c_1001_7^2 - 3031397/1969493*c_1001_7 + 1045297/1969493, c_1001_2 + 114721/1969493*c_1001_7^8 + 510012/1969493*c_1001_7^7 + 2517087/1969493*c_1001_7^6 + 6213243/1969493*c_1001_7^5 + 13100831/1969493*c_1001_7^4 + 15146291/1969493*c_1001_7^3 + 13292742/1969493*c_1001_7^2 + 3031397/1969493*c_1001_7 + 924196/1969493, c_1001_5 + 8496/1969493*c_1001_7^8 + 191919/1969493*c_1001_7^7 + 740291/1969493*c_1001_7^6 + 3346198/1969493*c_1001_7^5 + 6746371/1969493*c_1001_7^4 + 13230769/1969493*c_1001_7^3 + 10375976/1969493*c_1001_7^2 + 8210284/1969493*c_1001_7 - 875967/1969493, c_1001_7^9 + 5*c_1001_7^8 + 25*c_1001_7^7 + 69*c_1001_7^6 + 156*c_1001_7^5 + 225*c_1001_7^4 + 242*c_1001_7^3 + 155*c_1001_7^2 + 53*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.560 seconds, Total memory usage: 32.09MB