Magma V2.19-8 Tue Aug 20 2013 16:16:41 on localhost [Seed = 2631729239] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0973 geometric_solution 4.86974452 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.435152478857 0.519045644038 2 0 4 3 3201 0132 0132 0132 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 -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 1.395488261139 1.174397161152 3 5 0 1 1023 0132 0132 2310 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 1 -1 0 0 0 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 1.395488261139 1.174397161152 4 2 1 5 1302 1023 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948656573051 0.296190419792 5 3 6 1 2103 2031 0132 0132 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 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 0.580505662242 0.353032679028 6 2 4 3 2310 0132 2103 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580505662242 0.353032679028 6 6 5 4 1230 3012 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 0.616190948093 0.222855224246 ==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' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_4']), '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' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_2'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0011_6, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 25811459595714381/372728701278508*c_0101_6^11 - 56470580788250633/93182175319627*c_0101_6^10 - 655942423542839067/186364350639254*c_0101_6^9 - 4630071869073255277/372728701278508*c_0101_6^8 - 5104456011122043633/186364350639254*c_0101_6^7 - 12573483069731004353/372728701278508*c_0101_6^6 - 703555753906221870/93182175319627*c_0101_6^5 + 6954789003637924275/372728701278508*c_0101_6^4 - 192723479967482515/93182175319627*c_0101_6^3 + 683190064223205876/93182175319627*c_0101_6^2 - 207860226288422019/93182175319627*c_0101_6 - 200969232114984175/186364350639254, c_0011_0 - 1, c_0011_2 + 32535870593405/93182175319627*c_0101_6^11 + 284126927932601/93182175319627*c_0101_6^10 + 1648144087153195/93182175319627*c_0101_6^9 + 5803556073261190/93182175319627*c_0101_6^8 + 12748410989803320/93182175319627*c_0101_6^7 + 15568534872068170/93182175319627*c_0101_6^6 + 3163916051284286/93182175319627*c_0101_6^5 - 8941153606127696/93182175319627*c_0101_6^4 + 1102544735417992/93182175319627*c_0101_6^3 - 3447551616383117/93182175319627*c_0101_6^2 + 999287963582204/93182175319627*c_0101_6 + 520716777809681/93182175319627, c_0011_4 + 16260551213109/93182175319627*c_0101_6^11 + 142238508616375/93182175319627*c_0101_6^10 + 825523485408745/93182175319627*c_0101_6^9 + 2910100281561598/93182175319627*c_0101_6^8 + 6398127187402898/93182175319627*c_0101_6^7 + 7812073679173712/93182175319627*c_0101_6^6 + 1526102715466317/93182175319627*c_0101_6^5 - 4739023279444943/93182175319627*c_0101_6^4 + 201593290044016/93182175319627*c_0101_6^3 - 1791075977449259/93182175319627*c_0101_6^2 + 582776239197269/93182175319627*c_0101_6 + 301278412084465/93182175319627, c_0011_6 + 23215974589823/93182175319627*c_0101_6^11 + 203145188208355/93182175319627*c_0101_6^10 + 1179802284872109/93182175319627*c_0101_6^9 + 4163402062616254/93182175319627*c_0101_6^8 + 9178151475778365/93182175319627*c_0101_6^7 + 11295472213005780/93182175319627*c_0101_6^6 + 2498159337124928/93182175319627*c_0101_6^5 - 6312326801313612/93182175319627*c_0101_6^4 + 639223338648694/93182175319627*c_0101_6^3 - 2415618210170624/93182175319627*c_0101_6^2 + 781199499088912/93182175319627*c_0101_6 + 388873843590433/93182175319627, c_0101_1 + 16260551213109/93182175319627*c_0101_6^11 + 142238508616375/93182175319627*c_0101_6^10 + 825523485408745/93182175319627*c_0101_6^9 + 2910100281561598/93182175319627*c_0101_6^8 + 6398127187402898/93182175319627*c_0101_6^7 + 7812073679173712/93182175319627*c_0101_6^6 + 1526102715466317/93182175319627*c_0101_6^5 - 4739023279444943/93182175319627*c_0101_6^4 + 201593290044016/93182175319627*c_0101_6^3 - 1791075977449259/93182175319627*c_0101_6^2 + 582776239197269/93182175319627*c_0101_6 + 301278412084465/93182175319627, c_0101_2 + 17072406291934/93182175319627*c_0101_6^11 + 150237721838176/93182175319627*c_0101_6^10 + 874058909180663/93182175319627*c_0101_6^9 + 3096476535700496/93182175319627*c_0101_6^8 + 6853265741595861/93182175319627*c_0101_6^7 + 8473248091310842/93182175319627*c_0101_6^6 + 1881140867012208/93182175319627*c_0101_6^5 - 4995929663034268/93182175319627*c_0101_6^4 + 161047868406122/93182175319627*c_0101_6^3 - 1497888055346262/93182175319627*c_0101_6^2 + 527842986599657/93182175319627*c_0101_6 + 345396655095242/93182175319627, c_0101_6^12 + 9*c_0101_6^11 + 53*c_0101_6^10 + 192*c_0101_6^9 + 440*c_0101_6^8 + 585*c_0101_6^7 + 229*c_0101_6^6 - 244*c_0101_6^5 - 38*c_0101_6^4 - 98*c_0101_6^3 + 6*c_0101_6^2 + 24*c_0101_6 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB