Magma V2.19-8 Tue Aug 20 2013 23:57:39 on localhost [Seed = 1443905176] Type ? for help. Type -D to quit. Loading file "L14n33095__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33095 geometric_solution 11.41188941 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 0213 0132 1 1 1 1 0 1 -1 0 0 0 1 -1 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 0 -1 1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610443513173 1.261777937912 0 0 5 4 0132 0213 0132 0132 1 1 1 1 0 1 -1 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 1 -1 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 0.713572053280 0.874220434760 4 0 6 6 0213 0132 2103 0132 1 0 1 1 0 -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 -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 0.453545358464 0.624423907675 7 8 0 9 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -1 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 -1 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 0.202471019303 0.941393042024 2 9 1 9 0213 0321 0132 3120 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632654117237 0.658004900269 10 10 11 1 0132 3201 0132 0132 1 1 1 1 0 -1 0 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 -1 0 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 0.568551792896 1.543456904232 2 8 2 7 2103 1302 0132 2031 1 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 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 0.238517791937 1.048379587863 3 6 11 11 0132 1302 3120 3201 0 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 -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 0.047017531773 1.036096148299 10 3 10 6 1302 0132 2031 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812619659806 1.105887222963 4 11 3 4 3120 2031 0132 0321 1 1 0 1 0 0 0 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 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 0 0 0 0.240713327811 0.789711688263 5 8 5 8 0132 2031 2310 1302 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.212605626550 0.797945855031 9 7 7 5 1302 2310 3120 0132 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 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480898473069 0.522839687279 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : negation(d['c_0110_8']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0110_6'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_0110_8'], 'c_1001_0' : d['c_0110_8'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : negation(d['c_0101_1']), 'c_1010_10' : negation(d['c_0011_3']), '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_0011_11'], 'c_0101_10' : d['c_0101_1'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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' : d['c_1001_4'], 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0110_6']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_1001_4'], 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : negation(d['c_0110_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0110_8'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : 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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_5'], 'c_0110_10' : d['c_0101_5'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_0011_4, c_0011_6, c_0101_1, c_0101_5, c_0101_7, c_0110_6, c_0110_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 351455896779/21973006*c_1001_4^7 - 1489440202719/43946012*c_1001_4^6 + 966240337135/21973006*c_1001_4^5 - 820651374941/10986503*c_1001_4^4 - 1130533750519/2312948*c_1001_4^3 + 8324334571239/10986503*c_1001_4^2 - 24364316942263/21973006*c_1001_4 + 491777406033/3995092, c_0011_0 - 1, c_0011_10 - 5454/52567*c_1001_4^7 - 14205/52567*c_1001_4^6 + 10464/52567*c_1001_4^5 - 4463/52567*c_1001_4^4 - 148998/52567*c_1001_4^3 + 160325/52567*c_1001_4^2 - 273762/52567*c_1001_4 + 57093/52567, c_0011_11 + 15875/105134*c_1001_4^7 + 26629/105134*c_1001_4^6 - 30091/52567*c_1001_4^5 + 105855/105134*c_1001_4^4 + 513263/105134*c_1001_4^3 - 480488/52567*c_1001_4^2 + 1355127/105134*c_1001_4 - 152967/105134, c_0011_3 + 1273/52567*c_1001_4^7 + 5195/52567*c_1001_4^6 + 4555/52567*c_1001_4^5 + 3538/52567*c_1001_4^4 + 26681/52567*c_1001_4^3 + 9180/52567*c_1001_4^2 + 77083/52567*c_1001_4 + 12148/52567, c_0011_4 - 1, c_0011_6 + 16459/105134*c_1001_4^7 + 38675/105134*c_1001_4^6 - 21572/52567*c_1001_4^5 + 36205/105134*c_1001_4^4 + 483879/105134*c_1001_4^3 - 306022/52567*c_1001_4^2 + 869527/105134*c_1001_4 - 79507/105134, c_0101_1 - 6435/52567*c_1001_4^7 - 13377/52567*c_1001_4^6 + 14428/52567*c_1001_4^5 - 42826/52567*c_1001_4^4 - 190371/52567*c_1001_4^3 + 325611/52567*c_1001_4^2 - 541078/52567*c_1001_4 + 81675/52567, c_0101_5 + 459/105134*c_1001_4^7 - 10515/105134*c_1001_4^6 - 20218/52567*c_1001_4^5 + 13127/105134*c_1001_4^4 + 79159/105134*c_1001_4^3 - 164057/52567*c_1001_4^2 + 13671/105134*c_1001_4 - 13913/105134, c_0101_7 - 15875/105134*c_1001_4^7 - 26629/105134*c_1001_4^6 + 30091/52567*c_1001_4^5 - 105855/105134*c_1001_4^4 - 513263/105134*c_1001_4^3 + 480488/52567*c_1001_4^2 - 1249993/105134*c_1001_4 + 152967/105134, c_0110_6 - 16674/52567*c_1001_4^7 - 37529/52567*c_1001_4^6 + 41012/52567*c_1001_4^5 - 68351/52567*c_1001_4^4 - 501145/52567*c_1001_4^3 + 728057/52567*c_1001_4^2 - 1081045/52567*c_1001_4 + 122672/52567, c_0110_8 - 16889/105134*c_1001_4^7 - 36383/105134*c_1001_4^6 + 19440/52567*c_1001_4^5 - 100497/105134*c_1001_4^4 - 518411/105134*c_1001_4^3 + 422035/52567*c_1001_4^2 - 1292563/105134*c_1001_4 + 165837/105134, c_1001_4^8 + 2*c_1001_4^7 - 3*c_1001_4^6 + 5*c_1001_4^5 + 30*c_1001_4^4 - 51*c_1001_4^3 + 75*c_1001_4^2 - 16*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB