Magma V2.19-8 Wed Aug 21 2013 01:10:55 on localhost [Seed = 509085685] Type ? for help. Type -D to quit. Loading file "L14n55097__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55097 geometric_solution 11.72121698 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2031 0132 2 2 1 2 0 0 0 0 0 0 -1 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 -1 0 1 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 1.029128255687 0.834890567471 0 4 2 0 0132 0132 2031 1302 2 2 2 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 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 0.413985205641 0.475410349978 3 0 4 1 0213 0132 3201 1302 2 1 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 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 0.882601661659 0.557194996956 2 5 0 6 0213 0132 0132 0132 2 2 1 1 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 0 -1 1 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560511799670 0.753105920493 2 1 5 6 2310 0132 1230 1230 2 1 1 2 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578031778567 0.990513862135 7 3 8 4 0132 0132 0132 3012 2 2 1 1 0 0 0 0 -1 0 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757618555681 0.508561707553 4 9 3 10 3012 0132 0132 0132 2 2 1 1 0 1 0 -1 0 0 -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 -1 1 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 0.757618555681 0.508561707553 5 9 11 9 0132 2031 0132 3012 1 2 1 1 0 0 0 0 1 0 0 -1 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460252099622 0.252038436795 12 12 10 5 0132 1302 0132 0132 2 2 1 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 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521054308515 0.710265199604 7 6 7 12 1302 0132 1230 1302 2 1 1 1 0 -1 1 0 -1 0 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 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 0.460252099622 0.252038436795 11 11 6 8 0132 1230 0132 0132 2 2 0 1 0 -1 1 0 1 0 -1 0 -2 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 -1 0 1 0 3 -1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521054308515 0.710265199604 10 12 10 7 0132 0132 3012 0132 1 2 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 2 -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 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328515977079 0.915320583242 8 11 9 8 0132 0132 2031 2031 1 2 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 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652634041511 0.967840938969 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0110_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0110_9']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_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' : 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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_1001_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_5'], 'c_1100_8' : negation(d['c_1001_4']), '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'], 'c_1100_12' : negation(d['c_1001_5']), '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' : 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' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : 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_11'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_12'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_10']})} 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_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_4, c_0101_6, c_0110_9, c_1001_10, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 3136984177251/358218868000*c_1001_5^9 - 10379336861413/358218868000*c_1001_5^8 + 36770514878201/358218868000*c_1001_5^7 - 579324288967/5117412400*c_1001_5^6 + 289498386899/6396765500*c_1001_5^5 + 95555860881081/358218868000*c_1001_5^4 - 939268401353/3582188680*c_1001_5^3 + 12419674670759/44777358500*c_1001_5^2 - 3630105242543/22388679250*c_1001_5 + 31616936517129/71643773600, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 45719/12793531*c_1001_5^9 + 23335/12793531*c_1001_5^8 + 245874/12793531*c_1001_5^7 - 1462342/12793531*c_1001_5^6 + 4787215/12793531*c_1001_5^5 - 3136781/12793531*c_1001_5^4 + 1561844/12793531*c_1001_5^3 + 9051662/12793531*c_1001_5^2 - 6620350/12793531*c_1001_5 + 11065657/12793531, c_0101_0 - 1, c_0101_10 + c_1001_5, c_0101_11 - 257122/12793531*c_1001_5^9 + 2245623/25587062*c_1001_5^8 - 7083031/25587062*c_1001_5^7 + 5393191/12793531*c_1001_5^6 - 837375/12793531*c_1001_5^5 - 20178481/25587062*c_1001_5^4 + 33449239/25587062*c_1001_5^3 - 14984253/25587062*c_1001_5^2 + 7744968/12793531*c_1001_5 - 13974549/12793531, c_0101_12 - 234086/12793531*c_1001_5^9 + 568884/12793531*c_1001_5^8 - 2010909/12793531*c_1001_5^7 + 1536604/12793531*c_1001_5^6 - 443612/12793531*c_1001_5^5 - 70058/12793531*c_1001_5^4 - 1719442/12793531*c_1001_5^3 - 1481358/12793531*c_1001_5^2 + 5581769/12793531*c_1001_5 + 876347/12793531, c_0101_4 - 74545/12793531*c_1001_5^9 - 317056/12793531*c_1001_5^8 + 411532/12793531*c_1001_5^7 - 3890677/12793531*c_1001_5^6 + 1458756/12793531*c_1001_5^5 + 699767/12793531*c_1001_5^4 - 13148492/12793531*c_1001_5^3 + 6967752/12793531*c_1001_5^2 - 8364185/12793531*c_1001_5 + 2476512/12793531, c_0101_6 - 74545/12793531*c_1001_5^9 - 317056/12793531*c_1001_5^8 + 411532/12793531*c_1001_5^7 - 3890677/12793531*c_1001_5^6 + 1458756/12793531*c_1001_5^5 + 699767/12793531*c_1001_5^4 - 13148492/12793531*c_1001_5^3 + 6967752/12793531*c_1001_5^2 - 8364185/12793531*c_1001_5 + 2476512/12793531, c_0110_9 + 19272/12793531*c_1001_5^9 - 496740/12793531*c_1001_5^8 + 969503/12793531*c_1001_5^7 - 2930977/12793531*c_1001_5^6 - 1858739/12793531*c_1001_5^5 + 5665208/12793531*c_1001_5^4 - 11018499/12793531*c_1001_5^3 - 12381146/12793531*c_1001_5^2 + 6667446/12793531*c_1001_5 - 13789208/12793531, c_1001_10 + 234086/12793531*c_1001_5^9 - 568884/12793531*c_1001_5^8 + 2010909/12793531*c_1001_5^7 - 1536604/12793531*c_1001_5^6 + 443612/12793531*c_1001_5^5 + 70058/12793531*c_1001_5^4 + 1719442/12793531*c_1001_5^3 + 1481358/12793531*c_1001_5^2 - 5581769/12793531*c_1001_5 - 876347/12793531, c_1001_4 - 74545/12793531*c_1001_5^9 - 317056/12793531*c_1001_5^8 + 411532/12793531*c_1001_5^7 - 3890677/12793531*c_1001_5^6 + 1458756/12793531*c_1001_5^5 + 699767/12793531*c_1001_5^4 - 13148492/12793531*c_1001_5^3 + 6967752/12793531*c_1001_5^2 - 8364185/12793531*c_1001_5 + 15270043/12793531, c_1001_5^10 - 4*c_1001_5^9 + 14*c_1001_5^8 - 21*c_1001_5^7 + 14*c_1001_5^6 + 27*c_1001_5^5 - 51*c_1001_5^4 + 52*c_1001_5^3 - 40*c_1001_5^2 + 63*c_1001_5 - 35 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB