Magma V2.19-8 Tue Aug 20 2013 16:17:24 on localhost [Seed = 1259001728] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1629 geometric_solution 5.37790559 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 0 1 0 -1 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 1 -1 1 0 -1 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 0.458408187060 1.332036952918 0 3 6 5 0132 2031 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -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 0.902254112528 0.504636228085 2 0 2 6 2031 0132 1302 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 0.548416553633 0.461100169447 1 4 5 0 1302 3012 2031 0132 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 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 -0.242638890256 0.377935036867 3 6 0 5 1230 1023 0132 2031 0 0 0 0 0 -1 0 1 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 -1 1 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 -0.320530746786 0.442682099039 6 4 1 3 1230 1302 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.736602832847 0.224029700801 4 5 2 1 1023 3012 0132 0132 0 0 0 0 0 -1 1 0 1 0 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 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 0.458408187060 1.332036952918 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_1010_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_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_5, c_0101_0, c_0101_6, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 6358388882595/1043623368424*c_1010_5^12 + 3802016369140/130452921053*c_1010_5^11 + 15844605511183/521811684212*c_1010_5^10 + 216156271550369/1043623368424*c_1010_5^9 - 102876330050833/521811684212*c_1010_5^8 + 575241224314209/1043623368424*c_1010_5^7 - 743128364924115/1043623368424*c_1010_5^6 - 1874867385349/74544526316*c_1010_5^5 - 9409370108515/40139360324*c_1010_5^4 + 14133778606437/149089052632*c_1010_5^3 + 15875418755475/149089052632*c_1010_5^2 + 9965309710298/130452921053*c_1010_5 + 32243627708683/1043623368424, c_0011_0 - 1, c_0011_3 - 1920593938/1433548583*c_1010_5^12 - 9034170607/1433548583*c_1010_5^11 - 17819217483/2867097166*c_1010_5^10 - 64821168818/1433548583*c_1010_5^9 + 67196563718/1433548583*c_1010_5^8 - 181002161182/1433548583*c_1010_5^7 + 484072369643/2867097166*c_1010_5^6 - 18434870324/1433548583*c_1010_5^5 + 86408089769/1433548583*c_1010_5^4 - 42119374333/1433548583*c_1010_5^3 - 26570667110/1433548583*c_1010_5^2 - 46259160327/2867097166*c_1010_5 - 15608471769/2867097166, c_0011_4 + c_1010_5, c_0011_5 - 1987762417/2867097166*c_1010_5^12 - 4451813358/1433548583*c_1010_5^11 - 7277114821/2867097166*c_1010_5^10 - 32917204253/1433548583*c_1010_5^9 + 83593173043/2867097166*c_1010_5^8 - 104086249840/1433548583*c_1010_5^7 + 295651594859/2867097166*c_1010_5^6 - 42066587091/1433548583*c_1010_5^5 + 51319225196/1433548583*c_1010_5^4 - 46744146659/2867097166*c_1010_5^3 - 20461085943/2867097166*c_1010_5^2 - 20108455817/2867097166*c_1010_5 - 6881040017/2867097166, c_0101_0 - 3039852141/2867097166*c_1010_5^12 - 7174548227/1433548583*c_1010_5^11 - 14563395903/2867097166*c_1010_5^10 - 51958474069/1433548583*c_1010_5^9 + 103467281495/2867097166*c_1010_5^8 - 146357586045/1433548583*c_1010_5^7 + 384679971669/2867097166*c_1010_5^6 - 22734806842/1433548583*c_1010_5^5 + 79517217628/1433548583*c_1010_5^4 - 66566981845/2867097166*c_1010_5^3 - 37735319461/2867097166*c_1010_5^2 - 36495353985/2867097166*c_1010_5 - 12450352533/2867097166, c_0101_6 - 2136756845/2867097166*c_1010_5^12 - 9746404515/2867097166*c_1010_5^11 - 8354422201/2867097166*c_1010_5^10 - 35180517787/1433548583*c_1010_5^9 + 84384769569/2867097166*c_1010_5^8 - 209291678471/2867097166*c_1010_5^7 + 284878408889/2867097166*c_1010_5^6 - 20662121829/1433548583*c_1010_5^5 + 30994124078/1433548583*c_1010_5^4 - 38190746229/2867097166*c_1010_5^3 - 11063157691/1433548583*c_1010_5^2 - 7601564842/1433548583*c_1010_5 - 3873112037/2867097166, c_1010_5^13 + 5*c_1010_5^12 + 6*c_1010_5^11 + 35*c_1010_5^10 - 25*c_1010_5^9 + 83*c_1010_5^8 - 96*c_1010_5^7 - 31*c_1010_5^6 - 36*c_1010_5^5 + 7*c_1010_5^4 + 20*c_1010_5^3 + 15*c_1010_5^2 + 7*c_1010_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB