Magma V2.19-8 Tue Aug 20 2013 23:56:44 on localhost [Seed = 4190081533] Type ? for help. Type -D to quit. Loading file "L14n24612__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24612 geometric_solution 10.86293058 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1023 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 -1 0 1 0 0 -1 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 0.412109381447 0.488266809697 0 4 5 3 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864328542430 0.850054752715 6 0 7 0 0132 0132 0132 1023 1 1 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 1 0 -1 0 0 1 -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 0.412109381447 0.488266809697 8 5 1 0 0132 1023 0132 0132 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 -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 -0.068957292886 0.926590695903 9 1 7 6 0132 0132 0213 1302 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.016262888367 0.696333004186 3 6 7 1 1023 1302 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.079874043798 1.073280906624 2 10 4 5 0132 0132 2031 2031 0 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 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 0.286463841347 1.465739588818 11 4 5 2 0132 0213 1023 0132 1 1 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 1 0 0 -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 -0.068957292886 0.926590695903 3 11 9 9 0132 2103 2031 3012 0 1 0 0 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 0 0 0 1 0 -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 0.656320508198 0.816989401664 4 10 8 8 0132 1023 1230 1302 1 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 -1 -1 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 0 0 0 0 0.656320508198 0.816989401664 9 6 11 11 1023 0132 3120 2103 0 1 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 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 0.656320508198 0.816989401664 7 8 10 10 0132 2103 3120 2103 0 1 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 -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 0.656320508198 0.816989401664 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_9']), '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_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0101_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_11'], 'c_0110_10' : d['c_0101_10'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_0'], '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_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_6, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2994535161185/556097282*c_1100_0^8 - 3299635533098/278048641*c_1100_0^7 - 5424930260955/42776714*c_1100_0^6 + 322807899271615/556097282*c_1100_0^5 - 266413058485997/556097282*c_1100_0^4 - 10350829723264/21388357*c_1100_0^3 + 498029617087255/556097282*c_1100_0^2 + 284645592752793/278048641*c_1100_0 + 58784919044014/278048641, c_0011_0 - 1, c_0011_11 - 115217259/2224389128*c_1100_0^8 + 83327229/1112194564*c_1100_0^7 + 28380392/21388357*c_1100_0^6 - 10501477869/2224389128*c_1100_0^5 - 149976403/2224389128*c_1100_0^4 + 229648363/21388357*c_1100_0^3 - 4851067557/556097282*c_1100_0^2 - 4628411446/278048641*c_1100_0 - 4511306457/1112194564, c_0011_3 - 115217259/2224389128*c_1100_0^8 + 83327229/1112194564*c_1100_0^7 + 28380392/21388357*c_1100_0^6 - 10501477869/2224389128*c_1100_0^5 - 149976403/2224389128*c_1100_0^4 + 229648363/21388357*c_1100_0^3 - 4851067557/556097282*c_1100_0^2 - 4628411446/278048641*c_1100_0 - 4511306457/1112194564, c_0101_0 - 1, c_0101_1 + 238709/1125703*c_1100_0^8 - 543929/1125703*c_1100_0^7 - 5572006/1125703*c_1100_0^6 + 26136700/1125703*c_1100_0^5 - 23412167/1125703*c_1100_0^4 - 18871116/1125703*c_1100_0^3 + 40919251/1125703*c_1100_0^2 + 41239551/1125703*c_1100_0 + 6789273/1125703, c_0101_10 + 222250881/556097282*c_1100_0^8 - 252898890/278048641*c_1100_0^7 - 199769498/21388357*c_1100_0^6 + 24320506969/556097282*c_1100_0^5 - 21600098155/556097282*c_1100_0^4 - 688714154/21388357*c_1100_0^3 + 18709014708/278048641*c_1100_0^2 + 19802863355/278048641*c_1100_0 + 3468535706/278048641, c_0101_11 - 1, c_0101_5 - 101977231/556097282*c_1100_0^8 + 111057144/278048641*c_1100_0^7 + 92734462/21388357*c_1100_0^6 - 10944146611/556097282*c_1100_0^5 + 8705619053/556097282*c_1100_0^4 + 381167703/21388357*c_1100_0^3 - 8704726803/278048641*c_1100_0^2 - 10181710758/278048641*c_1100_0 - 1792167690/278048641, c_0101_6 - 238709/1125703*c_1100_0^8 + 543929/1125703*c_1100_0^7 + 5572006/1125703*c_1100_0^6 - 26136700/1125703*c_1100_0^5 + 23412167/1125703*c_1100_0^4 + 18871116/1125703*c_1100_0^3 - 40919251/1125703*c_1100_0^2 - 41239551/1125703*c_1100_0 - 6789273/1125703, c_0101_9 - 19814065/117073112*c_1100_0^8 + 24167199/58536556*c_1100_0^7 + 4370605/1125703*c_1100_0^6 - 2241893799/117073112*c_1100_0^5 + 2308386519/117073112*c_1100_0^4 + 11254964/1125703*c_1100_0^3 - 883523021/29268278*c_1100_0^2 - 354296691/14634139*c_1100_0 - 209344639/58536556, c_1001_1 + 119025243/556097282*c_1100_0^8 - 139151131/278048641*c_1100_0^7 - 106403178/21388357*c_1100_0^6 + 13200652609/556097282*c_1100_0^5 - 12344578251/556097282*c_1100_0^4 - 347270418/21388357*c_1100_0^3 + 10383343052/278048641*c_1100_0^2 + 9797669820/278048641*c_1100_0 + 1577316694/278048641, c_1100_0^9 - 2*c_1100_0^8 - 24*c_1100_0^7 + 103*c_1100_0^6 - 67*c_1100_0^5 - 108*c_1100_0^4 + 148*c_1100_0^3 + 224*c_1100_0^2 + 78*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB