Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 2682127176] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1559 geometric_solution 5.34451716 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 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 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 0.567108242697 0.289487254352 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 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 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 1.034056585561 0.424565059952 1 3 4 5 0132 0213 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577737759346 0.388005860066 5 4 2 1 0132 1023 0213 0132 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 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 0.577737759346 0.388005860066 3 6 6 2 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762158485983 0.511041797424 3 5 2 5 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163327711463 1.356925438517 6 4 4 6 3012 0132 1023 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 1.595462147220 0.509606266910 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 73959748990/8476288843*c_0101_6^20 - 682523069781/8476288843*c_0101_6^18 + 1519135537592/8476288843*c_0101_6^16 + 156307262028/8476288843*c_0101_6^14 + 8604578809980/8476288843*c_0101_6^12 - 54474730453886/8476288843*c_0101_6^10 + 87726501557947/8476288843*c_0101_6^8 - 46426145520734/8476288843*c_0101_6^6 - 5752671116546/8476288843*c_0101_6^4 + 10220652034446/8476288843*c_0101_6^2 - 1121493798968/8476288843, c_0011_0 - 1, c_0011_1 + 187879204/770571713*c_0101_6^20 - 1838111621/770571713*c_0101_6^18 + 4849008874/770571713*c_0101_6^16 - 2024325434/770571713*c_0101_6^14 + 22443041030/770571713*c_0101_6^12 - 151025470380/770571713*c_0101_6^10 + 302912658790/770571713*c_0101_6^8 - 264863072439/770571713*c_0101_6^6 + 103019855255/770571713*c_0101_6^4 - 17071189509/770571713*c_0101_6^2 + 1267638947/770571713, c_0011_3 - 443998328/770571713*c_0101_6^21 + 4462606798/770571713*c_0101_6^19 - 12648636850/770571713*c_0101_6^17 + 8048578353/770571713*c_0101_6^15 - 54427001616/770571713*c_0101_6^13 + 370277673274/770571713*c_0101_6^11 - 815139977893/770571713*c_0101_6^9 + 830828945248/770571713*c_0101_6^7 - 409011278305/770571713*c_0101_6^5 + 84239316481/770571713*c_0101_6^3 - 5633184998/770571713*c_0101_6, c_0101_0 - 373833534/770571713*c_0101_6^21 + 3855777912/770571713*c_0101_6^19 - 11387797265/770571713*c_0101_6^17 + 7380706057/770571713*c_0101_6^15 - 43368027876/770571713*c_0101_6^13 + 325363669059/770571713*c_0101_6^11 - 736628117317/770571713*c_0101_6^9 + 710893817173/770571713*c_0101_6^7 - 295779675728/770571713*c_0101_6^5 + 37759678406/770571713*c_0101_6^3 + 195409265/770571713*c_0101_6, c_0101_1 - 296923040/770571713*c_0101_6^20 + 2796882627/770571713*c_0101_6^18 - 6726781610/770571713*c_0101_6^16 + 1499691133/770571713*c_0101_6^14 - 36564859887/770571713*c_0101_6^12 + 225097932205/770571713*c_0101_6^10 - 406410903452/770571713*c_0101_6^8 + 330989157205/770571713*c_0101_6^6 - 135022156572/770571713*c_0101_6^4 + 24157974283/770571713*c_0101_6^2 - 1050109398/770571713, c_0101_4 - 490392484/770571713*c_0101_6^21 + 4874363074/770571713*c_0101_6^19 - 13529360031/770571713*c_0101_6^17 + 8290118137/770571713*c_0101_6^15 - 61058018167/770571713*c_0101_6^13 + 401816164948/770571713*c_0101_6^11 - 868213893129/770571713*c_0101_6^9 + 891728915050/770571713*c_0101_6^7 - 458240924262/770571713*c_0101_6^5 + 104582462225/770571713*c_0101_6^3 - 7169625396/770571713*c_0101_6, c_0101_6^22 - 10*c_0101_6^20 + 28*c_0101_6^18 - 17*c_0101_6^16 + 123*c_0101_6^14 - 829*c_0101_6^12 + 1795*c_0101_6^10 - 1809*c_0101_6^8 + 917*c_0101_6^6 - 223*c_0101_6^4 + 24*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB