Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 1157945784] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0522 geometric_solution 4.53608284 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 0 0 0 0 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 -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 0.455015019386 0.578062013140 0 4 4 0 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.339392625155 0.453060793398 5 0 5 3 0132 0132 2310 1302 0 0 0 0 0 0 0 0 -1 0 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 1 -1 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 -0.175635383788 1.231421845267 6 6 2 0 0132 3201 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.159239168146 1.068122761503 6 1 1 6 3012 0132 1023 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.330047995830 0.226616886526 2 2 5 5 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 1 0 -1 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 1 -1 -1 0 1 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 0.431150431021 0.100604795160 3 4 3 4 0132 0321 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.059107828745 1.413820447530 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : 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_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_0_6' : 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_6' : d['c_0011_3'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : 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_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 131330179728/12163973*c_1001_0^14 + 578710108902/12163973*c_1001_0^13 + 2808113774239/24327946*c_1001_0^12 + 4883256986583/24327946*c_1001_0^11 + 6701202761861/24327946*c_1001_0^10 + 7708887649271/24327946*c_1001_0^9 + 7359439506397/24327946*c_1001_0^8 + 3010137252480/12163973*c_1001_0^7 + 2143840383943/12163973*c_1001_0^6 + 1358844513045/12163973*c_1001_0^5 + 769799357301/12163973*c_1001_0^4 + 384164400817/12163973*c_1001_0^3 + 395648583719/24327946*c_1001_0^2 + 71212223573/12163973*c_1001_0 + 9876800975/12163973, c_0011_0 - 1, c_0011_3 + 2973054624/12163973*c_1001_0^14 + 13215185804/12163973*c_1001_0^13 + 32228266313/12163973*c_1001_0^12 + 56192191280/12163973*c_1001_0^11 + 77199953477/12163973*c_1001_0^10 + 88808948600/12163973*c_1001_0^9 + 84827949947/12163973*c_1001_0^8 + 69337926284/12163973*c_1001_0^7 + 49332152144/12163973*c_1001_0^6 + 31238918044/12163973*c_1001_0^5 + 17679835032/12163973*c_1001_0^4 + 8816743250/12163973*c_1001_0^3 + 4499258055/12163973*c_1001_0^2 + 1638940058/12163973*c_1001_0 + 218287996/12163973, c_0101_0 - 3969975264/12163973*c_1001_0^14 - 17920968788/12163973*c_1001_0^13 - 44183857065/12163973*c_1001_0^12 - 77849694604/12163973*c_1001_0^11 - 108090604621/12163973*c_1001_0^10 - 125594716011/12163973*c_1001_0^9 - 121378814007/12163973*c_1001_0^8 - 100235308805/12163973*c_1001_0^7 - 72073368522/12163973*c_1001_0^6 - 45992218010/12163973*c_1001_0^5 - 26252728623/12163973*c_1001_0^4 - 13202970887/12163973*c_1001_0^3 - 6753891088/12163973*c_1001_0^2 - 2571165273/12163973*c_1001_0 - 391641938/12163973, c_0101_1 + 2973054624/12163973*c_1001_0^14 + 13215185804/12163973*c_1001_0^13 + 32228266313/12163973*c_1001_0^12 + 56192191280/12163973*c_1001_0^11 + 77199953477/12163973*c_1001_0^10 + 88808948600/12163973*c_1001_0^9 + 84827949947/12163973*c_1001_0^8 + 69337926284/12163973*c_1001_0^7 + 49332152144/12163973*c_1001_0^6 + 31238918044/12163973*c_1001_0^5 + 17679835032/12163973*c_1001_0^4 + 8816743250/12163973*c_1001_0^3 + 4499258055/12163973*c_1001_0^2 + 1638940058/12163973*c_1001_0 + 218287996/12163973, c_0101_2 - 3264989976/12163973*c_1001_0^14 - 14662698591/12163973*c_1001_0^13 - 36059917808/12163973*c_1001_0^12 - 63344607404/12163973*c_1001_0^11 - 87648806284/12163973*c_1001_0^10 - 101495972439/12163973*c_1001_0^9 - 97746089273/12163973*c_1001_0^8 - 80553109390/12163973*c_1001_0^7 - 57798277352/12163973*c_1001_0^6 - 36895165489/12163973*c_1001_0^5 - 21061419526/12163973*c_1001_0^4 - 10617011254/12163973*c_1001_0^3 - 5411556030/12163973*c_1001_0^2 - 2040351167/12163973*c_1001_0 - 315599780/12163973, c_0101_4 + 3441770496/12163973*c_1001_0^14 + 15847312200/12163973*c_1001_0^13 + 39527844805/12163973*c_1001_0^12 + 70239794265/12163973*c_1001_0^11 + 98199826483/12163973*c_1001_0^10 + 114709810127/12163973*c_1001_0^9 + 111626320751/12163973*c_1001_0^8 + 92639443692/12163973*c_1001_0^7 + 66972147000/12163973*c_1001_0^6 + 42894452397/12163973*c_1001_0^5 + 24577912143/12163973*c_1001_0^4 + 12419421397/12163973*c_1001_0^3 + 6308951442/12163973*c_1001_0^2 + 2472920377/12163973*c_1001_0 + 395262868/12163973, c_1001_0^15 + 119/24*c_1001_0^14 + 105/8*c_1001_0^13 + 49/2*c_1001_0^12 + 859/24*c_1001_0^11 + 1043/24*c_1001_0^10 + 177/4*c_1001_0^9 + 461/12*c_1001_0^8 + 29*c_1001_0^7 + 155/8*c_1001_0^6 + 139/12*c_1001_0^5 + 37/6*c_1001_0^4 + 25/8*c_1001_0^3 + 11/8*c_1001_0^2 + 3/8*c_1001_0 + 1/24 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB