Magma V2.19-8 Tue Aug 20 2013 16:17:18 on localhost [Seed = 3398129183] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1541 geometric_solution 5.33356016 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 -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 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 1.249892945073 0.906922589443 0 5 5 4 0132 0132 3201 0213 0 0 0 0 0 1 0 -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 1 -1 0 0 0 -1 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 0.305865673461 0.355539460604 6 0 6 4 0132 0132 1023 2031 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 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 0.833696906675 0.685848139304 4 3 3 0 0213 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 1 0 -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 1.165396788372 0.706027377342 3 2 0 1 0213 1302 0132 0213 0 0 0 0 0 0 -1 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 -1 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 0.475878945593 0.380302349668 1 1 5 5 2310 0132 2031 1302 0 0 0 0 0 -1 1 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 1 0 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 1.369771013009 1.959199705510 2 6 2 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548619227117 0.171604812544 ==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_0']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], '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_0'], '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' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], '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_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 1202380921/121010417*c_0101_6^16 + 4351679122/121010417*c_0101_6^15 + 739057977/11000947*c_0101_6^14 - 32469503593/121010417*c_0101_6^13 - 28699750433/121010417*c_0101_6^12 + 95327708843/121010417*c_0101_6^11 + 66040196671/121010417*c_0101_6^10 - 130900418601/121010417*c_0101_6^9 - 84550146279/121010417*c_0101_6^8 + 78219215356/121010417*c_0101_6^7 + 3408992882/11000947*c_0101_6^6 - 34494700034/121010417*c_0101_6^5 - 8730960962/121010417*c_0101_6^4 + 18731675857/121010417*c_0101_6^3 + 504102278/11000947*c_0101_6^2 - 178833976/11000947*c_0101_6 - 83592305/121010417, c_0011_0 - 1, c_0011_3 + 9913086/11000947*c_0101_6^16 - 36335552/11000947*c_0101_6^15 - 70379225/11000947*c_0101_6^14 + 290941643/11000947*c_0101_6^13 + 248674543/11000947*c_0101_6^12 - 936642179/11000947*c_0101_6^11 - 565554913/11000947*c_0101_6^10 + 1492362699/11000947*c_0101_6^9 + 748271191/11000947*c_0101_6^8 - 1182899066/11000947*c_0101_6^7 - 382943947/11000947*c_0101_6^6 + 570114965/11000947*c_0101_6^5 + 43777821/11000947*c_0101_6^4 - 246363616/11000947*c_0101_6^3 - 13055660/11000947*c_0101_6^2 + 64777991/11000947*c_0101_6 + 2266733/11000947, c_0011_4 - 3386882/11000947*c_0101_6^16 + 15874727/11000947*c_0101_6^15 + 10919038/11000947*c_0101_6^14 - 122906175/11000947*c_0101_6^13 + 22240859/11000947*c_0101_6^12 + 395219437/11000947*c_0101_6^11 - 160004628/11000947*c_0101_6^10 - 665337879/11000947*c_0101_6^9 + 327639093/11000947*c_0101_6^8 + 600425231/11000947*c_0101_6^7 - 357054473/11000947*c_0101_6^6 - 292323146/11000947*c_0101_6^5 + 218096452/11000947*c_0101_6^4 + 88927371/11000947*c_0101_6^3 - 83763007/11000947*c_0101_6^2 - 13839367/11000947*c_0101_6 + 17583421/11000947, c_0101_0 + 4664200/11000947*c_0101_6^16 - 15695853/11000947*c_0101_6^15 - 36196748/11000947*c_0101_6^14 + 118138562/11000947*c_0101_6^13 + 150218248/11000947*c_0101_6^12 - 345298832/11000947*c_0101_6^11 - 388743854/11000947*c_0101_6^10 + 454050412/11000947*c_0101_6^9 + 560929321/11000947*c_0101_6^8 - 234390103/11000947*c_0101_6^7 - 354959394/11000947*c_0101_6^6 + 119373128/11000947*c_0101_6^5 + 125204648/11000947*c_0101_6^4 - 118816479/11000947*c_0101_6^3 - 47054770/11000947*c_0101_6^2 + 31831146/11000947*c_0101_6 + 7693089/11000947, c_0101_2 + 1689928/11000947*c_0101_6^16 - 8456666/11000947*c_0101_6^15 - 2721507/11000947*c_0101_6^14 + 62275227/11000947*c_0101_6^13 - 31902172/11000947*c_0101_6^12 - 188793681/11000947*c_0101_6^11 + 148968204/11000947*c_0101_6^10 + 294840544/11000947*c_0101_6^9 - 291070719/11000947*c_0101_6^8 - 238889890/11000947*c_0101_6^7 + 314217357/11000947*c_0101_6^6 + 100806764/11000947*c_0101_6^5 - 188136526/11000947*c_0101_6^4 - 30877482/11000947*c_0101_6^3 + 61429745/11000947*c_0101_6^2 - 2054126/11000947*c_0101_6 - 15893493/11000947, c_0101_5 - 3258287/11000947*c_0101_6^16 + 15921260/11000947*c_0101_6^15 + 10960219/11000947*c_0101_6^14 - 131248034/11000947*c_0101_6^13 + 12970384/11000947*c_0101_6^12 + 468937639/11000947*c_0101_6^11 - 100325189/11000947*c_0101_6^10 - 900480164/11000947*c_0101_6^9 + 145409449/11000947*c_0101_6^8 + 924493393/11000947*c_0101_6^7 - 97951744/11000947*c_0101_6^6 - 451895781/11000947*c_0101_6^5 + 114580407/11000947*c_0101_6^4 + 147296204/11000947*c_0101_6^3 - 72732800/11000947*c_0101_6^2 - 59789752/11000947*c_0101_6 + 11265372/11000947, c_0101_6^17 - 4*c_0101_6^16 - 6*c_0101_6^15 + 32*c_0101_6^14 + 17*c_0101_6^13 - 106*c_0101_6^12 - 34*c_0101_6^11 + 181*c_0101_6^10 + 47*c_0101_6^9 - 163*c_0101_6^8 - 28*c_0101_6^7 + 85*c_0101_6^6 + 2*c_0101_6^5 - 36*c_0101_6^4 + 2*c_0101_6^3 + 12*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB