Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 2118116030] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2150 geometric_solution 5.63069173 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 0 0 0 -1 0 1 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 1 -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 0.348478815159 0.559749206267 0 3 4 2 0132 1230 3012 1230 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 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 0.883060508251 0.758674360988 1 0 2 2 3012 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335117942675 0.552631063052 5 5 1 0 0132 3201 3012 0132 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 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 -0.644899243689 0.575959049011 6 1 0 6 0132 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0.917534999016 0.752505082344 3 5 3 5 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 1 -1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197716473344 1.323017188117 4 6 6 4 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.336867271692 0.319285178039 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0101_2'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0110_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_3, c_0011_4, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 4143*c_0110_2^15 - 34037*c_0110_2^14 - 25766*c_0110_2^13 + 817300*c_0110_2^12 - 2148908*c_0110_2^11 + 238504*c_0110_2^10 + 5969950*c_0110_2^9 - 6033866*c_0110_2^8 - 3736877*c_0110_2^7 + 6675853*c_0110_2^6 + 931783*c_0110_2^5 - 2934338*c_0110_2^4 - 465711*c_0110_2^3 + 535311*c_0110_2^2 + 192026*c_0110_2 + 17883, c_0011_0 - 1, c_0011_3 - c_0110_2 + 1, c_0011_4 - c_0110_2^15 + 7*c_0110_2^14 + 15*c_0110_2^13 - 181*c_0110_2^12 + 295*c_0110_2^11 + 351*c_0110_2^10 - 1105*c_0110_2^9 + 37*c_0110_2^8 + 1263*c_0110_2^7 - 153*c_0110_2^6 - 737*c_0110_2^5 - 77*c_0110_2^4 + 195*c_0110_2^3 + 91*c_0110_2^2 + 14*c_0110_2, c_0101_1 + 572*c_0110_2^15 - 4004*c_0110_2^14 - 8415*c_0110_2^13 + 102542*c_0110_2^12 - 172157*c_0110_2^11 - 174612*c_0110_2^10 + 608551*c_0110_2^9 - 94978*c_0110_2^8 - 620765*c_0110_2^7 + 161614*c_0110_2^6 + 316846*c_0110_2^5 - 13898*c_0110_2^4 - 78338*c_0110_2^3 - 22958*c_0110_2^2 - 2002*c_0110_2, c_0101_2 - 132*c_0110_2^14 + 924*c_0110_2^13 + 1938*c_0110_2^12 - 23640*c_0110_2^11 + 39808*c_0110_2^10 + 39682*c_0110_2^9 - 139831*c_0110_2^8 + 23440*c_0110_2^7 + 140880*c_0110_2^6 - 38336*c_0110_2^5 - 70980*c_0110_2^4 + 3796*c_0110_2^3 + 17446*c_0110_2^2 + 5005*c_0110_2 + 429, c_0101_6 - 65*c_0110_2^15 + 455*c_0110_2^14 + 965*c_0110_2^13 - 11705*c_0110_2^12 + 19384*c_0110_2^11 + 21220*c_0110_2^10 - 70449*c_0110_2^9 + 7131*c_0110_2^8 + 75906*c_0110_2^7 - 15278*c_0110_2^6 - 41227*c_0110_2^5 - 439*c_0110_2^4 + 10552*c_0110_2^3 + 3550*c_0110_2^2 + 350*c_0110_2, c_0110_2^16 - 8*c_0110_2^15 - 8*c_0110_2^14 + 196*c_0110_2^13 - 476*c_0110_2^12 - 56*c_0110_2^11 + 1456*c_0110_2^10 - 1142*c_0110_2^9 - 1226*c_0110_2^8 + 1416*c_0110_2^7 + 584*c_0110_2^6 - 660*c_0110_2^5 - 272*c_0110_2^4 + 104*c_0110_2^3 + 76*c_0110_2^2 + 15*c_0110_2 + 1 ], 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_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 702595/616*c_0110_2^17 - 550675/56*c_0110_2^16 + 20606779/616*c_0110_2^15 - 122892601/2464*c_0110_2^14 + 7826177/1232*c_0110_2^13 + 185647997/2464*c_0110_2^12 - 77762913/1232*c_0110_2^11 - 135504349/2464*c_0110_2^10 + 98942345/1232*c_0110_2^9 + 72557965/2464*c_0110_2^8 - 13471965/224*c_0110_2^7 - 25007223/1232*c_0110_2^6 + 4473863/154*c_0110_2^5 + 2155851/154*c_0110_2^4 - 1989733/224*c_0110_2^3 - 23367511/2464*c_0110_2^2 - 3889927/1232*c_0110_2 - 986305/2464, c_0011_0 - 1, c_0011_3 + c_0110_2, c_0011_4 - 4*c_0110_2^17 + 32*c_0110_2^16 - 96*c_0110_2^15 + 103*c_0110_2^14 + 83*c_0110_2^13 - 273*c_0110_2^12 + 57*c_0110_2^11 + 321*c_0110_2^10 - 153*c_0110_2^9 - 273*c_0110_2^8 + 136*c_0110_2^7 + 201*c_0110_2^6 - 50*c_0110_2^5 - 112*c_0110_2^4 - 3*c_0110_2^3 + 52*c_0110_2^2 + 34*c_0110_2 + 8, c_0101_1 - 315/2*c_0110_2^17 + 2427/2*c_0110_2^16 - 6663/2*c_0110_2^15 + 18233/8*c_0110_2^14 + 6708*c_0110_2^13 - 104551/8*c_0110_2^12 - 3229/4*c_0110_2^11 + 152197/8*c_0110_2^10 - 7126*c_0110_2^9 - 131791/8*c_0110_2^8 + 68003/8*c_0110_2^7 + 11171*c_0110_2^6 - 17357/4*c_0110_2^5 - 23749/4*c_0110_2^4 + 6957/8*c_0110_2^3 + 21827/8*c_0110_2^2 + 1153*c_0110_2 + 1351/8, c_0101_2 - 395/2*c_0110_2^17 + 3305/2*c_0110_2^16 - 10651/2*c_0110_2^15 + 54833/8*c_0110_2^14 + 8951/4*c_0110_2^13 - 122701/8*c_0110_2^12 + 34745/4*c_0110_2^11 + 113517/8*c_0110_2^10 - 57621/4*c_0110_2^9 - 71509/8*c_0110_2^8 + 94975/8*c_0110_2^7 + 22631/4*c_0110_2^6 - 5847*c_0110_2^5 - 3399*c_0110_2^4 + 13815/8*c_0110_2^3 + 16135/8*c_0110_2^2 + 2675/4*c_0110_2 + 641/8, c_0101_6 + 737/4*c_0110_2^17 - 6183/4*c_0110_2^16 + 20065/4*c_0110_2^15 - 106115/16*c_0110_2^14 - 11675/8*c_0110_2^13 + 215211/16*c_0110_2^12 - 62735/8*c_0110_2^11 - 196895/16*c_0110_2^10 + 98029/8*c_0110_2^9 + 132299/16*c_0110_2^8 - 161277/16*c_0110_2^7 - 44755/8*c_0110_2^6 + 19839/4*c_0110_2^5 + 13539/4*c_0110_2^4 - 22801/16*c_0110_2^3 - 30997/16*c_0110_2^2 - 5467/8*c_0110_2 - 1359/16, c_0110_2^18 - 8*c_0110_2^17 + 24*c_0110_2^16 - 103/4*c_0110_2^15 - 83/4*c_0110_2^14 + 273/4*c_0110_2^13 - 57/4*c_0110_2^12 - 321/4*c_0110_2^11 + 153/4*c_0110_2^10 + 273/4*c_0110_2^9 - 34*c_0110_2^8 - 201/4*c_0110_2^7 + 25/2*c_0110_2^6 + 28*c_0110_2^5 + 3/4*c_0110_2^4 - 13*c_0110_2^3 - 33/4*c_0110_2^2 - 9/4*c_0110_2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB