Magma V2.19-8 Tue Aug 20 2013 23:39:47 on localhost [Seed = 913330828] Type ? for help. Type -D to quit. Loading file "K14n18074__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18074 geometric_solution 8.56911307 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 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 0 -1 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619009647339 0.401071964454 0 4 5 5 0132 3012 2310 0132 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 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.164983268645 0.782286338502 6 0 4 7 0132 0132 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 -1 0 1 1 0 0 -1 0 0 0 0 1 -11 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333737107163 0.553251379895 6 6 7 0 3012 0132 0132 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 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 0.333737107163 0.553251379895 1 8 0 2 1230 0132 0132 0132 0 0 0 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 1 0 0 0 0 0 0 10 0 -10 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.487223341491 1.912836981167 9 1 1 9 0132 3201 0132 3201 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 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.503300955365 0.270012356622 2 3 10 3 0132 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 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200567540356 1.325256023193 8 8 2 3 2103 1302 0132 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 1 -1 0 -1 0 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 0.200567540356 1.325256023193 10 4 7 7 1023 0132 2103 2031 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 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200567540356 1.325256023193 5 5 10 10 0132 2310 2103 3012 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 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.017564499965 0.837527925348 9 8 9 6 2103 1023 1230 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 0 0 -1 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250835954480 1.345060158320 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0110_8'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0110_8'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_7'], 'c_1010_10' : d['c_0110_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_0101_0'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0110_8'], 'c_1010_2' : d['c_0110_8'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0011_7'], 's_3_1' : d['1'], 's_3_0' : 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'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_6'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 768650834/21841237*c_1100_0^9 + 3511790769/43682474*c_1100_0^8 + 17127526139/43682474*c_1100_0^7 - 3654806395/43682474*c_1100_0^6 - 19289222907/21841237*c_1100_0^5 + 416800479/21841237*c_1100_0^4 + 20583732875/21841237*c_1100_0^3 + 27796835227/43682474*c_1100_0^2 + 883183289/21841237*c_1100_0 - 9979966871/21841237, c_0011_0 - 1, c_0011_10 - 20781/172658*c_1100_0^9 + 49227/172658*c_1100_0^8 + 231813/172658*c_1100_0^7 - 50921/86329*c_1100_0^6 - 247473/86329*c_1100_0^5 + 116530/86329*c_1100_0^4 + 597045/172658*c_1100_0^3 + 33742/86329*c_1100_0^2 - 27075/86329*c_1100_0 - 55657/86329, c_0011_5 - 4601/172658*c_1100_0^9 + 20271/172658*c_1100_0^8 + 12782/86329*c_1100_0^7 - 92817/172658*c_1100_0^6 - 116799/172658*c_1100_0^5 + 50979/86329*c_1100_0^4 + 210753/172658*c_1100_0^3 - 42862/86329*c_1100_0^2 - 244605/172658*c_1100_0 - 41664/86329, c_0011_7 - 675/172658*c_1100_0^9 + 5263/172658*c_1100_0^8 + 2288/86329*c_1100_0^7 - 31041/86329*c_1100_0^6 - 19666/86329*c_1100_0^5 + 125679/172658*c_1100_0^4 + 28067/172658*c_1100_0^3 - 102768/86329*c_1100_0^2 - 38287/172658*c_1100_0 + 127579/172658, c_0101_0 + 17455/172658*c_1100_0^9 - 19713/172658*c_1100_0^8 - 253261/172658*c_1100_0^7 - 66348/86329*c_1100_0^6 + 278977/86329*c_1100_0^5 + 146680/86329*c_1100_0^4 - 573597/172658*c_1100_0^3 - 256579/86329*c_1100_0^2 - 183765/86329*c_1100_0 + 90140/86329, c_0101_1 - 1883/86329*c_1100_0^9 + 13121/172658*c_1100_0^8 + 15427/172658*c_1100_0^7 - 5132/86329*c_1100_0^6 + 23161/86329*c_1100_0^5 + 30899/172658*c_1100_0^4 - 130275/172658*c_1100_0^3 - 55779/86329*c_1100_0^2 + 121855/172658*c_1100_0 + 95888/86329, c_0101_10 - 10081/172658*c_1100_0^9 + 10077/86329*c_1100_0^8 + 108117/172658*c_1100_0^7 + 47759/172658*c_1100_0^6 - 95599/86329*c_1100_0^5 - 214855/172658*c_1100_0^4 + 203289/172658*c_1100_0^3 + 457569/172658*c_1100_0^2 + 191467/172658*c_1100_0 - 84163/172658, c_0101_3 - 675/172658*c_1100_0^9 + 5263/172658*c_1100_0^8 + 2288/86329*c_1100_0^7 - 31041/86329*c_1100_0^6 - 19666/86329*c_1100_0^5 + 125679/172658*c_1100_0^4 + 28067/172658*c_1100_0^3 - 102768/86329*c_1100_0^2 - 38287/172658*c_1100_0 - 45079/172658, c_0101_6 - 17455/172658*c_1100_0^9 + 19713/172658*c_1100_0^8 + 253261/172658*c_1100_0^7 + 66348/86329*c_1100_0^6 - 278977/86329*c_1100_0^5 - 146680/86329*c_1100_0^4 + 573597/172658*c_1100_0^3 + 256579/86329*c_1100_0^2 + 97436/86329*c_1100_0 - 90140/86329, c_0110_8 - 9559/86329*c_1100_0^9 + 17235/86329*c_1100_0^8 + 242537/172658*c_1100_0^7 + 15427/172658*c_1100_0^6 - 263225/86329*c_1100_0^5 - 15075/86329*c_1100_0^4 + 585321/172658*c_1100_0^3 + 290321/172658*c_1100_0^2 + 78345/86329*c_1100_0 - 145797/172658, c_1100_0^10 - 2*c_1100_0^9 - 12*c_1100_0^8 + 27*c_1100_0^6 + 4*c_1100_0^5 - 29*c_1100_0^4 - 22*c_1100_0^3 - 5*c_1100_0^2 + 14*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 743/48*c_1100_0^12 + 127/6*c_1100_0^11 + 191/24*c_1100_0^10 - 1195/48*c_1100_0^9 - 2629/24*c_1100_0^8 + 2059/16*c_1100_0^7 + 2119/48*c_1100_0^6 - 4267/48*c_1100_0^5 - 1081/8*c_1100_0^4 + 5179/48*c_1100_0^3 + 8567/48*c_1100_0^2 - 285/8*c_1100_0 - 2309/48, c_0011_0 - 1, c_0011_10 - 1/8*c_1100_0^12 + 3/4*c_1100_0^11 - 3/4*c_1100_0^10 + 3/8*c_1100_0^9 - 3/4*c_1100_0^8 + 41/8*c_1100_0^7 - 33/8*c_1100_0^6 + 31/8*c_1100_0^5 - 3/2*c_1100_0^4 + 57/8*c_1100_0^3 - 13/8*c_1100_0^2 + 7/4*c_1100_0 + 7/8, c_0011_5 + 9/8*c_1100_0^12 - 13/8*c_1100_0^11 + 7/8*c_1100_0^10 + 1/2*c_1100_0^9 + 31/4*c_1100_0^8 - 71/8*c_1100_0^7 + 15/2*c_1100_0^6 - 1/8*c_1100_0^5 + 87/8*c_1100_0^4 - 11/2*c_1100_0^3 + 21/8*c_1100_0^2 + 13/8*c_1100_0 - 7/4, c_0011_7 + 1/8*c_1100_0^12 - 1/8*c_1100_0^11 + 1/8*c_1100_0^10 + c_1100_0^8 - 5/8*c_1100_0^7 + 5/4*c_1100_0^6 - 1/8*c_1100_0^5 + 19/8*c_1100_0^4 - 1/4*c_1100_0^3 + 17/8*c_1100_0^2 + 1/8*c_1100_0 + 1, c_0101_0 - 1/8*c_1100_0^11 + 1/8*c_1100_0^10 - 1/8*c_1100_0^9 - c_1100_0^7 + 5/8*c_1100_0^6 - 5/4*c_1100_0^5 + 1/8*c_1100_0^4 - 19/8*c_1100_0^3 + 1/4*c_1100_0^2 - 9/8*c_1100_0 - 1/8, c_0101_1 + 1/8*c_1100_0^12 - 1/8*c_1100_0^11 + 1/8*c_1100_0^10 + c_1100_0^8 - 5/8*c_1100_0^7 + 5/4*c_1100_0^6 - 1/8*c_1100_0^5 + 19/8*c_1100_0^4 - 1/4*c_1100_0^3 + 9/8*c_1100_0^2 + 1/8*c_1100_0 + 1, c_0101_10 + 1/8*c_1100_0^12 - 5/8*c_1100_0^11 + 5/8*c_1100_0^10 - 1/4*c_1100_0^9 + 3/4*c_1100_0^8 - 33/8*c_1100_0^7 + 7/2*c_1100_0^6 - 21/8*c_1100_0^5 + 11/8*c_1100_0^4 - 23/4*c_1100_0^3 + 11/8*c_1100_0^2 - 5/8*c_1100_0 - 3/4, c_0101_3 + 1, c_0101_6 + c_1100_0, c_0110_8 + 1/8*c_1100_0^11 - 1/8*c_1100_0^10 + 1/8*c_1100_0^9 + c_1100_0^7 - 5/8*c_1100_0^6 + 5/4*c_1100_0^5 - 1/8*c_1100_0^4 + 19/8*c_1100_0^3 - 1/4*c_1100_0^2 + 17/8*c_1100_0 + 1/8, c_1100_0^13 - c_1100_0^12 + c_1100_0^10 + 7*c_1100_0^9 - 5*c_1100_0^8 + 2*c_1100_0^7 + 4*c_1100_0^6 + 9*c_1100_0^5 - c_1100_0^4 - 2*c_1100_0^3 + 3*c_1100_0^2 - c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB