Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 543276306] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2761 geometric_solution 5.99703449 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 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.109124685635 0.557234613237 0 5 6 4 0132 0132 0132 0321 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 0 0 0 0 0 0 0 0.167521701350 0.770044261762 4 0 5 3 3012 0132 1230 1230 0 0 0 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 -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 0.502492409983 1.233793358904 2 3 3 0 3012 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 1.638186205582 1.111713347521 5 1 0 2 0321 0321 0132 1230 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 0 1 -1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.352654833806 0.598795706045 4 1 6 2 0321 0132 2310 3012 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 0 0 0 1 0 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 0.167521701350 0.770044261762 6 5 6 1 2310 3201 3201 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 0.635363910542 0.732504329735 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_6'])})} 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_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 65727/114932*c_0101_3^8 - 342705/229864*c_0101_3^7 - 1778779/229864*c_0101_3^6 + 1554729/229864*c_0101_3^5 + 2060355/229864*c_0101_3^4 - 1034740/28733*c_0101_3^3 - 1573903/114932*c_0101_3^2 + 1578419/57466*c_0101_3 + 120603/57466, c_0011_0 - 1, c_0011_3 + 5772/28733*c_0101_2*c_0101_3^8 + 17617/57466*c_0101_2*c_0101_3^7 - 57999/57466*c_0101_2*c_0101_3^6 + 13075/57466*c_0101_2*c_0101_3^5 + 190823/57466*c_0101_2*c_0101_3^4 - 80143/28733*c_0101_2*c_0101_3^3 - 88310/28733*c_0101_2*c_0101_3^2 + 76388/28733*c_0101_2*c_0101_3 - 49110/28733*c_0101_2, c_0011_4 - 50373/114932*c_0101_2*c_0101_3^8 - 13926/28733*c_0101_2*c_0101_3^7 + 202389/114932*c_0101_2*c_0101_3^6 - 42890/28733*c_0101_2*c_0101_3^5 - 253117/57466*c_0101_2*c_0101_3^4 + 202363/57466*c_0101_2*c_0101_3^3 + 61844/28733*c_0101_2*c_0101_3^2 - 84540/28733*c_0101_2*c_0101_3 + 41729/28733*c_0101_2, c_0011_6 - 18897/114932*c_0101_3^8 - 8212/28733*c_0101_3^7 + 57659/114932*c_0101_3^6 - 12475/57466*c_0101_3^5 - 49417/28733*c_0101_3^4 + 13890/28733*c_0101_3^3 + 22781/28733*c_0101_3^2 + 186/28733*c_0101_3 + 20266/28733, c_0101_1 - 21279/57466*c_0101_2*c_0101_3^8 - 34019/57466*c_0101_2*c_0101_3^7 + 82425/57466*c_0101_2*c_0101_3^6 - 31247/57466*c_0101_2*c_0101_3^5 - 291477/57466*c_0101_2*c_0101_3^4 + 136273/57466*c_0101_2*c_0101_3^3 + 117397/28733*c_0101_2*c_0101_3^2 - 67420/28733*c_0101_2*c_0101_3 + 36956/28733*c_0101_2, c_0101_2^2 + 173541/488461*c_0101_3^8 + 17401/28733*c_0101_3^7 - 658485/488461*c_0101_3^6 + 49957/488461*c_0101_3^5 + 4449483/976922*c_0101_3^4 - 977809/976922*c_0101_3^3 - 2278703/488461*c_0101_3^2 + 46966/488461*c_0101_3 + 203622/488461, c_0101_3^9 + 5/3*c_0101_3^8 - 11/3*c_0101_3^7 + c_0101_3^6 + 38/3*c_0101_3^5 - 4*c_0101_3^4 - 34/3*c_0101_3^3 + 8/3*c_0101_3^2 - 4/3*c_0101_3 - 4/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB