Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 21011512] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2369 geometric_solution 5.73747092 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 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775944211416 0.864844347988 0 4 3 5 0132 0321 0321 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 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 0.474300634066 0.030949889398 2 0 3 2 3201 0132 3012 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.031823627391 0.512226445030 5 2 1 0 0132 1230 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280716526733 1.083552016515 6 5 0 1 0132 2103 0132 0321 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 1 -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 0.309380208469 0.621220989733 3 4 1 6 0132 2103 0132 1302 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 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 0.357641425003 1.289825977225 4 6 5 6 0132 1302 2031 2031 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 1 0 -1 0 0 1 -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 0.579156399981 0.590509372400 ==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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_1001_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_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_0011_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 5122020164089532449/50548503522766249*c_1001_1^15 - 1473226886134243808/7221214788966607*c_1001_1^14 - 12637025813775756775/50548503522766249*c_1001_1^13 + 21045291418056592816/50548503522766249*c_1001_1^12 + 12808948574637025152/50548503522766249*c_1001_1^11 + 545025223432477394/555478060689739*c_1001_1^10 - 55616600442036356312/50548503522766249*c_1001_1^9 - 200246563117028177938/50548503522766249*c_1001_1^8 + 162726950523729871107/50548503522766249*c_1001_1^7 + 244237535327837346270/50548503522766249*c_1001_1^6 - 189906243120639214452/50548503522766249*c_1001_1^5 - 17882303048767502726/7221214788966607*c_1001_1^4 + 11521512602404114810/7221214788966607*c_1001_1^3 + 18641647434889003704/50548503522766249*c_1001_1^2 - 1137700655389998878/50548503522766249*c_1001_1 + 1648007000191676953/50548503522766249, c_0011_0 - 1, c_0011_3 - 111181434004910/353486038620743*c_1001_1^15 + 49704989778040/50498005517249*c_1001_1^14 - 375902301372553/353486038620743*c_1001_1^13 - 137000380713256/353486038620743*c_1001_1^12 + 399750756423206/353486038620743*c_1001_1^11 - 123385821637630/50498005517249*c_1001_1^10 + 2937701886542589/353486038620743*c_1001_1^9 - 816265898654058/353486038620743*c_1001_1^8 - 5597481667279268/353486038620743*c_1001_1^7 + 3712034604208962/353486038620743*c_1001_1^6 + 3029421984605041/353486038620743*c_1001_1^5 - 346720001188508/50498005517249*c_1001_1^4 - 276124481116/50498005517249*c_1001_1^3 + 408340553084076/353486038620743*c_1001_1^2 - 47807496559140/353486038620743*c_1001_1 - 431734528989026/353486038620743, c_0011_4 - 1330224336260811/353486038620743*c_1001_1^15 + 364181034073816/50498005517249*c_1001_1^14 + 3321377562441034/353486038620743*c_1001_1^13 - 5540302665679231/353486038620743*c_1001_1^12 - 2327958111025180/353486038620743*c_1001_1^11 - 1798499806387396/50498005517249*c_1001_1^10 + 12673288082249549/353486038620743*c_1001_1^9 + 50982274972668351/353486038620743*c_1001_1^8 - 44009432581946274/353486038620743*c_1001_1^7 - 57867473233292312/353486038620743*c_1001_1^6 + 54495304853224629/353486038620743*c_1001_1^5 + 3316790357088865/50498005517249*c_1001_1^4 - 3398411125551545/50498005517249*c_1001_1^3 + 311061090105320/353486038620743*c_1001_1^2 + 289599985568182/353486038620743*c_1001_1 - 439049948400555/353486038620743, c_0101_0 - c_1001_1, c_0101_1 + 1572645082332654/353486038620743*c_1001_1^15 - 114382561692606/50498005517249*c_1001_1^14 - 5469781831575650/353486038620743*c_1001_1^13 - 421296126278511/353486038620743*c_1001_1^12 + 2274025262445802/353486038620743*c_1001_1^11 + 2576813843677756/50498005517249*c_1001_1^10 + 10481611473787940/353486038620743*c_1001_1^9 - 49651233210343420/353486038620743*c_1001_1^8 - 14009627644068421/353486038620743*c_1001_1^7 + 54384507392172327/353486038620743*c_1001_1^6 + 5621345331681493/353486038620743*c_1001_1^5 - 3180107413616443/50498005517249*c_1001_1^4 - 142182217705663/50498005517249*c_1001_1^3 + 5508257261123/353486038620743*c_1001_1^2 + 1078232414228887/353486038620743*c_1001_1 + 82379995497092/353486038620743, c_0101_2 + 2398950819229525/353486038620743*c_1001_1^15 - 261144414186353/50498005517249*c_1001_1^14 - 7351812872464866/353486038620743*c_1001_1^13 - 260757012128005/353486038620743*c_1001_1^12 + 3351283864058366/353486038620743*c_1001_1^11 + 3962006477069223/50498005517249*c_1001_1^10 + 10043293184370141/353486038620743*c_1001_1^9 - 71357719094364148/353486038620743*c_1001_1^8 - 12213478884924535/353486038620743*c_1001_1^7 + 73605386078239070/353486038620743*c_1001_1^6 + 3679178871494953/353486038620743*c_1001_1^5 - 4059629238589244/50498005517249*c_1001_1^4 + 60075817853645/50498005517249*c_1001_1^3 - 141326584801128/353486038620743*c_1001_1^2 - 438608843106307/353486038620743*c_1001_1 - 91091248080785/353486038620743, c_1001_1^16 - 2*c_1001_1^15 - 38/17*c_1001_1^14 + 66/17*c_1001_1^13 + 28/17*c_1001_1^12 + 166/17*c_1001_1^11 - 173/17*c_1001_1^10 - 614/17*c_1001_1^9 + 552/17*c_1001_1^8 + 668/17*c_1001_1^7 - 649/17*c_1001_1^6 - 258/17*c_1001_1^5 + 273/17*c_1001_1^4 - 4/17*c_1001_1^3 - 3/17*c_1001_1^2 + 5/17*c_1001_1 - 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB