Magma V2.19-8 Tue Aug 20 2013 23:41:55 on localhost [Seed = 3086078711] Type ? for help. Type -D to quit. Loading file "L12n48__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n48 geometric_solution 10.24919497 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637012054342 1.589774337676 0 5 7 6 0132 0132 0132 0132 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 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 0.489043052469 0.232442167202 8 0 3 8 0132 0132 0213 0213 1 1 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 -1 0 1 0 0 0 0 1 0 0 -1 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452952674634 0.693094390076 6 2 5 0 0132 0213 1302 0132 1 1 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 0 0 0 0 1 -7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284623737980 0.534228011495 9 9 0 10 0132 1230 0132 0132 1 1 0 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 0 1 -1 0 0 0 0 0 -1 0 1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357107927883 1.132641720614 3 1 10 9 2031 0132 2031 2103 1 1 1 1 0 0 -1 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 -6 7 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869567050884 1.456332765463 3 8 1 8 0132 0213 0132 0321 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 1 -1 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 0.701666022175 0.888992160507 10 9 10 1 1023 2103 2103 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 1 -2 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 6 -6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746804394247 0.803062279383 2 6 6 2 0132 0321 0213 0213 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 1 0 -1 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452952674634 0.693094390076 4 7 4 5 0132 2103 3012 2103 1 1 1 0 0 1 0 -1 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 0 6 0 -6 0 0 0 0 7 0 0 -7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746804394247 0.803062279383 7 7 4 5 2103 1023 0132 1302 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 2 -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 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357107927883 1.132641720614 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0110_10']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0101_1'], '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' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1001_0'], 'c_1100_10' : d['c_0101_5'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_10']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_1001_0'], 'c_1100_8' : d['c_1001_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_10, c_0110_5, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 496491222004896112/119270690303140625*c_1001_1^9 - 1308233584567448544/119270690303140625*c_1001_1^8 - 1280942426552981487/119270690303140625*c_1001_1^7 - 432481258472007934/119270690303140625*c_1001_1^6 + 496154111703984016/119270690303140625*c_1001_1^5 + 1892362577739630732/119270690303140625*c_1001_1^4 + 17926024716935409/1908331044850250*c_1001_1^3 - 2397501033755775778/119270690303140625*c_1001_1^2 - 7859618684039716391/238541380606281250*c_1001_1 - 1939703202563351544/119270690303140625, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 10463172608/4818409405*c_1001_1^9 + 5474175248/963681881*c_1001_1^8 + 29710247168/4818409405*c_1001_1^7 + 2520797497/963681881*c_1001_1^6 - 7863195544/4818409405*c_1001_1^5 - 7146210452/963681881*c_1001_1^4 - 5308886936/963681881*c_1001_1^3 + 41345456837/4818409405*c_1001_1^2 + 80830509328/4818409405*c_1001_1 + 8543039202/963681881, c_0101_0 - 576525312/1268002475*c_1001_1^9 - 2722334704/1268002475*c_1001_1^8 - 3892664512/1268002475*c_1001_1^7 - 2261128119/1268002475*c_1001_1^6 - 25748584/1268002475*c_1001_1^5 + 3296120662/1268002475*c_1001_1^4 + 190187032/50720099*c_1001_1^3 - 1846283628/1268002475*c_1001_1^2 - 9056360948/1268002475*c_1001_1 - 7126783204/1268002475, c_0101_1 - 1022004352/24092047025*c_1001_1^9 - 4106553344/24092047025*c_1001_1^8 - 15583268552/24092047025*c_1001_1^7 - 7272811584/24092047025*c_1001_1^6 - 3273937964/24092047025*c_1001_1^5 + 7641453532/24092047025*c_1001_1^4 + 756476704/963681881*c_1001_1^3 + 29962867362/24092047025*c_1001_1^2 - 31038801348/24092047025*c_1001_1 - 46049350144/24092047025, c_0101_10 + 852369024/454566925*c_1001_1^9 + 2590343888/454566925*c_1001_1^8 + 3168435624/454566925*c_1001_1^7 + 1605304693/454566925*c_1001_1^6 - 466224632/454566925*c_1001_1^5 - 3232212264/454566925*c_1001_1^4 - 121842968/18182677*c_1001_1^3 + 3035805756/454566925*c_1001_1^2 + 8478178566/454566925*c_1001_1 + 5088091938/454566925, c_0101_5 - c_1001_1, c_0110_10 - 42392002672/24092047025*c_1001_1^9 - 124430959744/24092047025*c_1001_1^8 - 136507263647/24092047025*c_1001_1^7 - 62612652184/24092047025*c_1001_1^6 + 35256700196/24092047025*c_1001_1^5 + 161262883732/24092047025*c_1001_1^4 + 5227675916/963681881*c_1001_1^3 - 179195550468/24092047025*c_1001_1\ ^2 - 376925700018/24092047025*c_1001_1 - 205239692744/24092047025, c_0110_5 + 42392002672/24092047025*c_1001_1^9 + 124430959744/24092047025*c_1001_1^8 + 136507263647/24092047025*c_1001_1^7 + 62612652184/24092047025*c_1001_1^6 - 35256700196/24092047025*c_1001_1^5 - 161262883732/24092047025*c_1001_1^4 - 5227675916/963681881*c_1001_1^3 + 179195550468/24092047025*c_1001_1\ ^2 + 376925700018/24092047025*c_1001_1 + 205239692744/24092047025, c_1001_0 + 3947380336/24092047025*c_1001_1^9 + 14767516992/24092047025*c_1001_1^8 + 21798130111/24092047025*c_1001_1^7 + 5140478212/24092047025*c_1001_1^6 - 3325431248/24092047025*c_1001_1^5 - 21037149476/24092047025*c_1001_1^4 - 848950607/963681881*c_1001_1^3 + 19898762684/24092047025*c_1001_1^2 + 58173609789/24092047025*c_1001_1 + 28171903692/24092047025, c_1001_1^10 + 4*c_1001_1^9 + 105/16*c_1001_1^8 + 21/4*c_1001_1^7 + c_1001_1^6 - 9/2*c_1001_1^5 - 117/16*c_1001_1^4 + 1/4*c_1001_1^3 + 53/4*c_1001_1^2 + 15*c_1001_1 + 89/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB