Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 2084430158] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2767 geometric_solution 6.00055394 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 0 1 -1 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 1.085110300466 1.219615260206 0 3 4 2 0132 1230 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719326148854 0.667074211999 5 0 1 4 0132 0132 2031 1230 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247648176019 0.934076034824 0 4 1 0 3201 3120 3012 0132 0 0 0 0 0 1 0 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.056941197188 0.815957089148 2 3 5 1 3012 3120 3012 0132 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 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 0.522999965941 0.649326178030 2 4 6 6 0132 1230 0132 3201 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138908249808 0.385333018991 6 5 6 5 2031 2310 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.627169334239 2.486729055886 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0101_1']), '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_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(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_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), '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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 27168316860851/120880960736*c_0101_2^10 - 39222891404505/120880960736*c_0101_2^9 - 5898030828261/120880960736*c_0101_2^8 + 322833189203/15110120092*c_0101_2^7 + 73762546403453/120880960736*c_0101_2^6 - 46039347853311/60440480368*c_0101_2^5 + 3232070785515/15110120092*c_0101_2^4 - 10808863928171/30220240184*c_0101_2^3 - 4736877322785/120880960736*c_0101_2^2 - 4734077039369/60440480368*c_0101_2 + 343735812113/120880960736, c_0011_0 - 1, c_0011_3 + 16812476743/15110120092*c_0101_2^10 - 17270263697/15110120092*c_0101_2^9 - 35215966625/15110120092*c_0101_2^8 + 6369964472/3777530023*c_0101_2^7 + 61510308381/15110120092*c_0101_2^6 - 20364619953/7555060046*c_0101_2^5 - 17300851075/3777530023*c_0101_2^4 + 10472528298/3777530023*c_0101_2^3 - 5216513313/15110120092*c_0101_2^2 + 6342865765/7555060046*c_0101_2 + 3229957293/15110120092, c_0011_4 + 353422824757/60440480368*c_0101_1*c_0101_2^10 - 476358626439/60440480368*c_0101_1*c_0101_2^9 - 112210780611/60440480368*c_0101_1*c_0101_2^8 + 994420864/3777530023*c_0101_1*c_0101_2^7 + 913001894035/60440480368*c_0101_1*c_0101_2^6 - 530284885569/30220240184*c_0101_1*c_0101_2^5 + 33159327267/7555060046*c_0101_1*c_0101_2^4 - 137408128525/15110120092*c_0101_1*c_0101_2^3 - 232113076407/60440480368*c_0101_1*c_0101_2^2 - 7430639315/30220240184*c_0101_1*c_0101_2 - 45449425921/60440480368*c_0101_1, c_0011_6 + 16461467/14141432*c_0101_2^10 - 39420609/14141432*c_0101_2^9 + 27724563/14141432*c_0101_2^8 + 265996/1767679*c_0101_2^7 + 24993237/14141432*c_0101_2^6 - 48288839/7070716*c_0101_2^5 + 11507346/1767679*c_0101_2^4 - 10660577/3535358*c_0101_2^3 + 682303/14141432*c_0101_2^2 + 1685927/7070716*c_0101_2 - 11985455/14141432, c_0101_0 + 16812476743/15110120092*c_0101_2^10 - 17270263697/15110120092*c_0101_2^9 - 35215966625/15110120092*c_0101_2^8 + 6369964472/3777530023*c_0101_2^7 + 61510308381/15110120092*c_0101_2^6 - 20364619953/7555060046*c_0101_2^5 - 17300851075/3777530023*c_0101_2^4 + 10472528298/3777530023*c_0101_2^3 - 5216513313/15110120092*c_0101_2^2 + 6342865765/7555060046*c_0101_2 + 3229957293/15110120092, c_0101_1^2 + 417727673/7555060046*c_0101_2^10 + 7355917201/7555060046*c_0101_2^9 - 12769353051/7555060046*c_0101_2^8 - 2169323954/3777530023*c_0101_2^7 + 6830064235/7555060046*c_0101_2^6 + 11129606032/3777530023*c_0101_2^5 - 14910713678/3777530023*c_0101_2^4 + 294519340/3777530023*c_0101_2^3 + 436784995/7555060046*c_0101_2^2 - 3061418718/3777530023*c_0101_2 - 1883490967/7555060046, c_0101_2^11 - 22/19*c_0101_2^10 - 14/19*c_0101_2^9 + 3/19*c_0101_2^8 + 53/19*c_0101_2^7 - 49/19*c_0101_2^6 - 6/19*c_0101_2^5 - 20/19*c_0101_2^4 - 13/19*c_0101_2^3 - 3/19*c_0101_2^2 - 1/19*c_0101_2 + 1/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB