Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 4223297427] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s844 geometric_solution 5.42834337 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.520191157892 1.222192906113 3 2 4 0 0132 1023 0132 0132 0 0 0 0 0 -1 1 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 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 0.240648963387 1.278844147668 1 4 0 5 1023 1023 0132 0132 0 0 0 0 0 1 -1 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 -1 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 0 0 0 0.240648963387 1.278844147668 1 5 4 5 0132 0321 0321 2031 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 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 0.052331485802 1.126239028338 2 5 3 1 1023 3012 0321 0132 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 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 0 0 0 0 0.371896190612 0.270325396699 4 3 2 3 1230 1302 0132 0321 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.418282731852 0.611296403555 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_1001_3'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_1, c_0101_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3103190231797/455030682760*c_1001_3^13 + 4156093566211/113757670690*c_1001_3^12 + 21281085625853/455030682760*c_1001_3^11 + 812556321482/56878835345*c_1001_3^10 - 83750547883767/455030682760*c_1001_3^9 - 21319950323807/113757670690*c_1001_3^8 + 28261963251641/56878835345*c_1001_3^7 + 26725442645287/227515341380*c_1001_3^6 - 101895295671911/455030682760*c_1001_3^5 - 576781255283859/455030682760*c_1001_3^4 + 480274895034733/227515341380*c_1001_3^3 - 248241518134549/227515341380*c_1001_3^2 - 149355270039/11375767069*c_1001_3 + 57598242116163/455030682760, c_0011_0 - 1, c_0011_1 + 15542558575/22751534138*c_1001_3^13 + 90491380587/22751534138*c_1001_3^12 + 75903826243/11375767069*c_1001_3^11 + 61125360199/11375767069*c_1001_3^10 - 327308792879/22751534138*c_1001_3^9 - 547088875481/22751534138*c_1001_3^8 + 817858357943/22751534138*c_1001_3^7 + 522087701517/22751534138*c_1001_3^6 - 59492046584/11375767069*c_1001_3^5 - 2774517787581/22751534138*c_1001_3^4 + 3542223979407/22751534138*c_1001_3^3 - 1418217196043/22751534138*c_1001_3^2 - 149269948201/22751534138*c_1001_3 + 72310116295/11375767069, c_0011_5 + 4341878267/11375767069*c_1001_3^13 + 100254941149/45503068276*c_1001_3^12 + 41104869632/11375767069*c_1001_3^11 + 64494111841/22751534138*c_1001_3^10 - 179870807723/22751534138*c_1001_3^9 - 552670015535/45503068276*c_1001_3^8 + 254689548415/11375767069*c_1001_3^7 + 577472731255/45503068276*c_1001_3^6 - 131204945075/22751534138*c_1001_3^5 - 793557319608/11375767069*c_1001_3^4 + 4161090447475/45503068276*c_1001_3^3 - 791192319813/22751534138*c_1001_3^2 - 296920993455/45503068276*c_1001_3 + 45883105521/11375767069, c_0101_1 - 16899247567/22751534138*c_1001_3^13 - 47689114305/11375767069*c_1001_3^12 - 72790373899/11375767069*c_1001_3^11 - 45782849950/11375767069*c_1001_3^10 + 402339254841/22751534138*c_1001_3^9 + 276860387948/11375767069*c_1001_3^8 - 1028609348429/22751534138*c_1001_3^7 - 242152691387/11375767069*c_1001_3^6 + 161383479237/11375767069*c_1001_3^5 + 3110561760245/22751534138*c_1001_3^4 - 2183169625089/11375767069*c_1001_3^3 + 1859836860711/22751534138*c_1001_3^2 + 96083131612/11375767069*c_1001_3 - 113018373493/11375767069, c_0101_2 + 3957461/8479886*c_1001_3^13 + 10924087/4239943*c_1001_3^12 + 15517486/4239943*c_1001_3^11 + 7650400/4239943*c_1001_3^10 - 100641541/8479886*c_1001_3^9 - 60431574/4239943*c_1001_3^8 + 265817547/8479886*c_1001_3^7 + 52745884/4239943*c_1001_3^6 - 46424098/4239943*c_1001_3^5 - 739631853/8479886*c_1001_3^4 + 550448971/4239943*c_1001_3^3 - 508165533/8479886*c_1001_3^2 - 10750276/4239943*c_1001_3 + 25502011/4239943, c_1001_3^14 + 5*c_1001_3^13 + 5*c_1001_3^12 - 27*c_1001_3^10 - 17*c_1001_3^9 + 82*c_1001_3^8 - 11*c_1001_3^7 - 37*c_1001_3^6 - 171*c_1001_3^5 + 377*c_1001_3^4 - 280*c_1001_3^3 + 63*c_1001_3^2 + 19*c_1001_3 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB