Magma V2.19-8 Wed Aug 21 2013 01:00:33 on localhost [Seed = 509084937] Type ? for help. Type -D to quit. Loading file "L13n956__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n956 geometric_solution 11.81741481 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3120 0132 0132 1 0 1 1 0 0 0 0 -1 0 2 -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 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 0.643653103942 1.752609261987 0 0 5 4 0132 3120 0132 0132 1 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 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 0.638975546757 0.405654661813 4 6 7 0 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 1 -2 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 0 1 1 -1 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461715674340 0.356875600597 8 4 0 8 0132 3120 0132 2031 1 0 1 1 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 1 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 0.030060408137 0.861946719613 2 3 1 6 0132 3120 0132 3120 1 0 1 1 0 0 0 0 -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 0 0 0 0 1 0 0 -1 9 1 0 -10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873747560045 0.425661370746 9 6 8 1 0132 3201 3120 0132 1 0 1 0 0 0 0 0 -1 0 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 1 -1 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 1.312625696184 0.872570697733 4 2 5 10 3120 0132 2310 0132 1 0 1 1 0 0 0 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 0 0 0 1 0 -1 0 10 0 0 -10 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573956586322 0.532328183734 11 12 8 2 0132 0132 2031 0132 1 0 1 0 0 0 0 0 1 0 0 -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 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288896188996 1.199565351768 3 3 5 7 0132 1302 3120 1302 0 0 1 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 -1 1 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 0.959588391831 1.158755161820 5 11 12 11 0132 3120 1230 0213 1 0 0 1 0 0 0 0 1 0 0 -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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557091243168 0.707186015034 11 12 6 12 2103 0213 0132 1230 1 0 1 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 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 0.557091243168 0.707186015034 7 9 10 9 0132 3120 2103 0213 1 0 0 1 0 0 0 0 -1 0 0 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 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 0.557091243168 0.707186015034 10 7 10 9 3012 0132 0213 3012 1 1 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 0 0 0 0 0 0 0 0 0 0 -1 -9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557091243168 0.707186015034 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_6'], 'c_1010_12' : negation(d['c_0101_1']), 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_1010_8']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : negation(d['c_1010_8']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : negation(d['c_0101_5']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : negation(d['1']), 's_1_6' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0101_5']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0011_5'], 'c_0101_12' : d['c_0011_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_6'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], '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_11, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_6, c_1001_0, c_1001_10, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3976023339045/2546722040576*c_1010_8^8 + 8760495365899/1273361020288*c_1010_8^7 + 38601130441163/2546722040576*c_1010_8^6 - 135768296899617/1273361020288*c_1010_8^5 + 100723769877483/2546722040576*c_1010_8^4 + 219230205991091/636680510144*c_1010_8^3 - 443649989639/9948132971*c_1010_8^2 - 1458400050542857/2546722040576*c_1010_8 - 35660642291445/79585063768, c_0011_0 - 1, c_0011_10 + 14456799/32576776*c_1010_8^8 - 31034411/16288388*c_1010_8^7 - 74898379/16288388*c_1010_8^6 + 987920979/32576776*c_1010_8^5 - 253649805/32576776*c_1010_8^4 - 1725014503/16288388*c_1010_8^3 + 435253709/32576776*c_1010_8^2 + 1434671503/8144194*c_1010_8 + 3842545461/32576776, c_0011_11 - 2346720/4072097*c_1010_8^8 + 10068864/4072097*c_1010_8^7 + 24444749/4072097*c_1010_8^6 - 160417045/4072097*c_1010_8^5 + 39427400/4072097*c_1010_8^4 + 562795350/4072097*c_1010_8^3 - 67449947/4072097*c_1010_8^2 - 939253541/4072097*c_1010_8 - 626889745/4072097, c_0011_2 + 2317317/16288388*c_1010_8^8 - 5011833/8144194*c_1010_8^7 - 12004573/8144194*c_1010_8^6 + 159369777/16288388*c_1010_8^5 - 41427339/16288388*c_1010_8^4 - 278421833/8144194*c_1010_8^3 + 70982047/16288388*c_1010_8^2 + 231567735/4072097*c_1010_8 + 625967631/16288388, c_0011_5 - 2346720/4072097*c_1010_8^8 + 10068864/4072097*c_1010_8^7 + 24444749/4072097*c_1010_8^6 - 160417045/4072097*c_1010_8^5 + 39427400/4072097*c_1010_8^4 + 562795350/4072097*c_1010_8^3 - 67449947/4072097*c_1010_8^2 - 939253541/4072097*c_1010_8 - 626889745/4072097, c_0101_0 - 1, c_0101_1 - 913543/4072097*c_1010_8^8 + 3961970/4072097*c_1010_8^7 + 9407539/4072097*c_1010_8^6 - 62968881/4072097*c_1010_8^5 + 17146264/4072097*c_1010_8^4 + 220112969/4072097*c_1010_8^3 - 31509980/4072097*c_1010_8^2 - 370081315/4072097*c_1010_8 - 242514204/4072097, c_0101_10 + 913543/4072097*c_1010_8^8 - 3961970/4072097*c_1010_8^7 - 9407539/4072097*c_1010_8^6 + 62968881/4072097*c_1010_8^5 - 17146264/4072097*c_1010_8^4 - 220112969/4072097*c_1010_8^3 + 31509980/4072097*c_1010_8^2 + 370081315/4072097*c_1010_8 + 242514204/4072097, c_0101_5 - 2008967/4072097*c_1010_8^8 + 8607370/4072097*c_1010_8^7 + 20873949/4072097*c_1010_8^6 - 136900616/4072097*c_1010_8^5 + 33934433/4072097*c_1010_8^4 + 479291661/4072097*c_1010_8^3 - 59502397/4072097*c_1010_8^2 - 796952669/4072097*c_1010_8 - 529633596/4072097, c_0101_6 - 1347258/4072097*c_1010_8^8 + 5772898/4072097*c_1010_8^7 + 13981622/4072097*c_1010_8^6 - 91910985/4072097*c_1010_8^5 + 23509511/4072097*c_1010_8^4 + 320906606/4072097*c_1010_8^3 - 41661976/4072097*c_1010_8^2 - 533325264/4072097*c_1010_8 - 354605719/4072097, c_1001_0 - 2260801/4072097*c_1010_8^8 + 9734868/4072097*c_1010_8^7 + 23389161/4072097*c_1010_8^6 - 154879866/4072097*c_1010_8^5 + 40655775/4072097*c_1010_8^4 + 541019575/4072097*c_1010_8^3 - 73171956/4072097*c_1010_8^2 - 903406579/4072097*c_1010_8 - 597119923/4072097, c_1001_10 + 3071715/16288388*c_1010_8^8 - 6533963/8144194*c_1010_8^7 - 15958671/8144194*c_1010_8^6 + 208274163/16288388*c_1010_8^5 - 52610705/16288388*c_1010_8^4 - 363391379/8144194*c_1010_8^3 + 95665857/16288388*c_1010_8^2 + 297685432/4072097*c_1010_8 + 792455245/16288388, c_1010_8^9 - 3*c_1010_8^8 - 16*c_1010_8^7 + 55*c_1010_8^6 + 72*c_1010_8^5 - 263*c_1010_8^4 - 283*c_1010_8^3 + 441*c_1010_8^2 + 791*c_1010_8 + 349 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.570 seconds, Total memory usage: 32.09MB