Magma V2.19-8 Tue Aug 20 2013 23:59:45 on localhost [Seed = 3170555366] Type ? for help. Type -D to quit. Loading file "L14n46791__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n46791 geometric_solution 10.68447717 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 1 1 1 0 0 0 0 0 1 0 0 -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 -1 0 1 -4 0 0 4 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518619655946 1.427542154138 0 0 5 4 0132 1230 0132 0132 1 1 0 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 4 0 0 -4 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212098859953 0.628983021776 4 0 6 4 0132 0132 0132 2031 1 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 0 0 0 0 1 0 -1 3 0 0 -3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775182070333 0.618829363536 7 8 0 9 0132 0132 0132 0132 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 4 0 -4 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243382076268 0.449675739098 2 2 1 9 0132 1302 0132 2031 1 1 1 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 0 0 0 0 0 0 0 0 3 0 -3 -3 0 4 -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 0.212098859953 0.628983021776 6 10 10 1 2103 0132 1302 0132 1 1 1 2 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 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489183185796 1.038841919380 8 8 5 2 2031 0321 2103 0132 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.628983021776 0.787901140047 3 11 11 9 0132 0132 1023 1230 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 0 0 -4 0 4 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.933973267096 1.188132760980 10 3 6 6 3201 0132 1302 0321 1 2 1 1 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 -1 0 0 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628983021776 0.787901140047 7 4 3 10 3012 1302 0132 3012 1 1 1 1 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 3 0 -3 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976685788290 0.580467221222 5 5 9 8 2031 0132 1230 2310 1 1 2 1 0 0 0 0 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 0 0 0 0 3 -3 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628983021776 0.787901140047 11 7 7 11 3012 0132 1023 1230 1 1 1 1 0 0 1 -1 1 0 0 -1 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 -4 4 -4 0 0 4 -4 0 0 4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.830199855486 0.313301719491 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(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' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_1']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_2'], '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' : negation(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' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : d['c_0011_6'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_9'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0011_10'])})} 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_6, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 11821299101696/34107679125*c_1001_2^7 + 10752687173632/11369226375*c_1001_2^6 - 35195429722112/34107679125*c_1001_2^5 + 6168869705728/11369226375*c_1001_2^4 - 10429950936064/34107679125*c_1001_2^3 + 6306234729472/34107679125*c_1001_2^2 - 8236759036288/34107679125*c_1001_2 + 32188206848/454769055, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 54784/777383*c_1001_2^7 + 290592/777383*c_1001_2^6 - 787040/777383*c_1001_2^5 + 1091584/777383*c_1001_2^4 - 1694976/777383*c_1001_2^3 + 1663898/777383*c_1001_2^2 - 1085250/777383*c_1001_2 + 299048/777383, c_0011_6 - 317120/777383*c_1001_2^7 + 606848/777383*c_1001_2^6 - 516336/777383*c_1001_2^5 + 41504/777383*c_1001_2^4 - 46944/777383*c_1001_2^3 - 498032/777383*c_1001_2^2 + 774360/777383*c_1001_2 - 426728/777383, c_0011_9 - 1, c_0101_0 - 2992256/2332149*c_1001_2^7 + 2675136/777383*c_1001_2^6 - 10148480/2332149*c_1001_2^5 + 2475920/777383*c_1001_2^4 - 5860000/2332149*c_1001_2^3 + 3599488/2332149*c_1001_2^2 - 4673368/2332149*c_1001_2 + 371009/777383, c_0101_10 - c_1001_2, c_0101_11 - 3185536/2332149*c_1001_2^7 + 3133120/777383*c_1001_2^6 - 8856640/2332149*c_1001_2^5 - 212040/777383*c_1001_2^4 + 6003544/2332149*c_1001_2^3 - 4893640/2332149*c_1001_2^2 + 1647400/2332149*c_1001_2 - 318661/777383, c_0101_2 - 317120/777383*c_1001_2^7 + 606848/777383*c_1001_2^6 - 516336/777383*c_1001_2^5 + 41504/777383*c_1001_2^4 - 46944/777383*c_1001_2^3 - 498032/777383*c_1001_2^2 - 3023/777383*c_1001_2 - 426728/777383, c_0101_7 - 2179072/2332149*c_1001_2^7 + 2922880/777383*c_1001_2^6 - 14100928/2332149*c_1001_2^5 + 4785824/777383*c_1001_2^4 - 11156672/2332149*c_1001_2^3 + 8511062/2332149*c_1001_2^2 - 4646162/2332149*c_1001_2 + 894164/777383, c_1001_1 - 317120/777383*c_1001_2^7 + 606848/777383*c_1001_2^6 - 516336/777383*c_1001_2^5 + 41504/777383*c_1001_2^4 - 46944/777383*c_1001_2^3 - 498032/777383*c_1001_2^2 - 3023/777383*c_1001_2 - 426728/777383, c_1001_2^8 - 3*c_1001_2^7 + 4*c_1001_2^6 - 3*c_1001_2^5 + 2*c_1001_2^4 - 5/4*c_1001_2^3 + 17/16*c_1001_2^2 - 3/8*c_1001_2 + 45/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB