Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 1730607701] 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' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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: 18 Groebner basis: [ t - 86067/40327*c_0101_2^8 + 421018/40327*c_0101_2^7 - 417674/40327*c_0101_2^6 + 554114/40327*c_0101_2^5 - 1170488/40327*c_0101_2^4 + 1250384/40327*c_0101_2^3 - 1342531/40327*c_0101_2^2 + 338735/40327*c_0101_2 - 67345/40327, c_0011_0 - 1, c_0011_3 + 1992/5761*c_0101_2^8 - 7867/5761*c_0101_2^7 + 1382/5761*c_0101_2^6 - 8843/5761*c_0101_2^5 + 21463/5761*c_0101_2^4 - 6731/5761*c_0101_2^3 + 18419/5761*c_0101_2^2 + 886/5761*c_0101_2 + 10825/5761, c_0011_4 - 6107/40327*c_0101_1*c_0101_2^8 + 28442/40327*c_0101_1*c_0101_2^7 - 20311/40327*c_0101_1*c_0101_2^6 + 25303/40327*c_0101_1*c_0101_2^5 - 81542/40327*c_0101_1*c_0101_2^4 + 62695/40327*c_0101_1*c_0101_2^3 - 57923/40327*c_0101_1*c_0101_2^2 + 41087/40327*c_0101_1*c_0101_2 - 23993/40327*c_0101_1, c_0011_6 - 1154/5761*c_0101_2^8 + 4517/5761*c_0101_2^7 - 442/5761*c_0101_2^6 + 4504/5761*c_0101_2^5 - 13851/5761*c_0101_2^4 + 5571/5761*c_0101_2^3 - 4707/5761*c_0101_2^2 + 2668/5761*c_0101_2 - 5363/5761, c_0101_0 + 1992/5761*c_0101_2^8 - 7867/5761*c_0101_2^7 + 1382/5761*c_0101_2^6 - 8843/5761*c_0101_2^5 + 21463/5761*c_0101_2^4 - 6731/5761*c_0101_2^3 + 18419/5761*c_0101_2^2 + 886/5761*c_0101_2 + 10825/5761, c_0101_1^2 - 3146/5761*c_0101_2^8 + 12384/5761*c_0101_2^7 - 1824/5761*c_0101_2^6 + 13347/5761*c_0101_2^5 - 35314/5761*c_0101_2^4 + 12302/5761*c_0101_2^3 - 28887/5761*c_0101_2^2 - 3979/5761*c_0101_2 - 21949/5761, c_0101_2^9 - 4*c_0101_2^8 + c_0101_2^7 - 5*c_0101_2^6 + 12*c_0101_2^5 - 6*c_0101_2^4 + 10*c_0101_2^3 - 2*c_0101_2^2 + 7*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB