Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 4172899787] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2689 geometric_solution 5.94710766 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936097165235 0.642542968033 0 5 5 6 0132 0132 1023 0132 0 0 0 0 0 0 1 -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 0 -1 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 0.601054763325 0.223668727285 2 0 2 6 2031 0132 1302 1023 0 0 0 0 0 1 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757195994417 0.692753052252 6 3 3 0 0132 1230 3012 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 0.924213492464 0.659433537671 4 6 0 4 3012 0132 0132 1230 0 0 0 0 0 1 -1 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 -1 0 1 -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 0.712091163171 0.869458757779 5 1 1 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -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 0 1 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.354816779677 0.766334167583 3 4 1 2 0132 0132 0132 1023 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 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 0.936097165235 0.642542968033 ==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_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], '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_3'], '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' : d['c_0101_1'], 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], '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_0110_2'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0110_2']})} 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_3, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 7710532635499/985281397191*c_0110_2^12 + 358323926837/8421208523*c_0110_2^11 + 15421655632748/140754485313*c_0110_2^10 + 11608534653554/109475710799*c_0110_2^9 - 15691978231115/140754485313*c_0110_2^8 - 398552605663211/985281397191*c_0110_2^7 - 192156927233812/985281397191*c_0110_2^6 + 470231160722777/985281397191*c_0110_2^5 + 14254633668968/46918161771*c_0110_2^4 - 499962500815670/985281397191*c_0110_2^3 - 7891591518014/25263625569*c_0110_2^2 + 75712119514202/328427132397*c_0110_2 + 12414422871139/109475710799, c_0011_0 - 1, c_0011_3 - 114882/4023511*c_0110_2^12 - 2504696/12070533*c_0110_2^11 - 2475502/4023511*c_0110_2^10 - 9606994/12070533*c_0110_2^9 + 1831073/4023511*c_0110_2^8 + 33882952/12070533*c_0110_2^7 + 31495372/12070533*c_0110_2^6 - 30914521/12070533*c_0110_2^5 - 50817505/12070533*c_0110_2^4 + 10864003/4023511*c_0110_2^3 + 44890246/12070533*c_0110_2^2 - 7392986/4023511*c_0110_2 - 6123626/4023511, c_0101_0 + 582848/4023511*c_0110_2^12 + 3386672/4023511*c_0110_2^11 + 8947413/4023511*c_0110_2^10 + 9281120/4023511*c_0110_2^9 - 9053731/4023511*c_0110_2^8 - 35150063/4023511*c_0110_2^7 - 20134632/4023511*c_0110_2^6 + 42645957/4023511*c_0110_2^5 + 36652346/4023511*c_0110_2^4 - 43412795/4023511*c_0110_2^3 - 34668831/4023511*c_0110_2^2 + 19595642/4023511*c_0110_2 + 11966648/4023511, c_0101_1 + 170627/4023511*c_0110_2^12 + 2817805/12070533*c_0110_2^11 + 2568790/4023511*c_0110_2^10 + 8879816/12070533*c_0110_2^9 - 1053779/4023511*c_0110_2^8 - 24394805/12070533*c_0110_2^7 - 18132650/12070533*c_0110_2^6 + 17023772/12070533*c_0110_2^5 + 18135317/12070533*c_0110_2^4 - 6928461/4023511*c_0110_2^3 - 14658824/12070533*c_0110_2^2 + 3129023/4023511*c_0110_2 - 117551/4023511, c_0101_3 - c_0110_2^2 + 1, c_0101_5 - 5140595/12070533*c_0110_2^12 - 27890552/12070533*c_0110_2^11 - 71416573/12070533*c_0110_2^10 - 68045152/12070533*c_0110_2^9 + 75806050/12070533*c_0110_2^8 + 266093351/12070533*c_0110_2^7 + 41697448/4023511*c_0110_2^6 - 317393291/12070533*c_0110_2^5 - 197337739/12070533*c_0110_2^4 + 328861315/12070533*c_0110_2^3 + 194906923/12070533*c_0110_2^2 - 47869258/4023511*c_0110_2 - 24395567/4023511, c_0110_2^13 + 6*c_0110_2^12 + 17*c_0110_2^11 + 21*c_0110_2^10 - 8*c_0110_2^9 - 62*c_0110_2^8 - 55*c_0110_2^7 + 50*c_0110_2^6 + 78*c_0110_2^5 - 44*c_0110_2^4 - 81*c_0110_2^3 + 9*c_0110_2^2 + 36*c_0110_2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB