Magma V2.19-8 Tue Aug 20 2013 16:17:53 on localhost [Seed = 947496187] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2120 geometric_solution 5.61479551 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 -1 0 1 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 1 -1 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.826506235565 1.639707773663 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331218504558 0.520444027095 3 1 4 5 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.206556007975 1.013835533862 4 5 2 1 2310 2310 3201 0132 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 1 0 -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 -0.206556007975 1.013835533862 6 6 3 2 0132 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.526906158458 1.576620431988 5 5 2 3 1302 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.372427375772 0.420790315420 4 6 4 6 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302349533027 0.934211210673 ==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_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], '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_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0']})} 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_1, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 54688321/188184875*c_0011_5*c_0110_5^9 - 201262519/37636975*c_0011_5*c_0110_5^8 - 1788704743/376369750*c_0011_5*c_0110_5^7 - 11420181623/376369750*c_0011_5*c_0110_5^6 - 6755697971/75273950*c_0011_5*c_0110_5^5 + 51625064/188184875*c_0011_5*c_0110_5^4 - 25418163488/188184875*c_0011_5*c_0110_5^3 - 37718204369/188184875*c_0011_5*c_0110_5^2 + 293475750897/376369750*c_0011_5*c_0110_5 - 10175378664/37636975*c_0011_5, c_0011_0 - 1, c_0011_1 + 47/730*c_0110_5^9 + 6/73*c_0110_5^8 + 109/365*c_0110_5^7 + 913/730*c_0110_5^6 + 89/146*c_0110_5^5 + 396/365*c_0110_5^4 + 1448/365*c_0110_5^3 - 2276/365*c_0110_5^2 - 2637/730*c_0110_5 + 105/146, c_0011_3 - 8194/36719*c_0011_5*c_0110_5^9 - 7455/36719*c_0011_5*c_0110_5^8 - 83957/73438*c_0011_5*c_0110_5^7 - 158463/36719*c_0011_5*c_0110_5^6 - 57329/73438*c_0011_5*c_0110_5^5 - 377341/73438*c_0011_5*c_0110_5^4 - 932013/73438*c_0011_5*c_0110_5^3 + 2455611/73438*c_0011_5*c_0110_5^2 + 47528/36719*c_0011_5*c_0110_5 - 208804/36719*c_0011_5, c_0011_4 - 158478/917975*c_0011_5*c_0110_5^9 - 26462/183595*c_0011_5*c_0110_5^8 - 790587/917975*c_0011_5*c_0110_5^7 - 5867889/1835950*c_0011_5*c_0110_5^6 - 80323/367190*c_0011_5*c_0110_5^5 - 6666221/1835950*c_0011_5*c_0110_5^4 - 8038834/917975*c_0011_5*c_0110_5^3 + 24636483/917975*c_0011_5*c_0110_5^2 - 1218927/917975*c_0011_5*c_0110_5 - 1957979/367190*c_0011_5, c_0011_5^2 - 55394/917975*c_0110_5^9 - 26657/367190*c_0110_5^8 - 270501/917975*c_0110_5^7 - 1994397/1835950*c_0110_5^6 - 100829/367190*c_0110_5^5 - 1710233/1835950*c_0110_5^4 - 4655989/1835950*c_0110_5^3 + 6756309/917975*c_0110_5^2 - 145521/917975*c_0110_5 - 324866/183595, c_0101_1 - 91999/367190*c_0110_5^9 - 9188/36719*c_0110_5^8 - 227408/183595*c_0110_5^7 - 1741621/367190*c_0110_5^6 - 76453/73438*c_0110_5^5 - 923812/183595*c_0110_5^4 - 2518301/183595*c_0110_5^3 + 6317447/183595*c_0110_5^2 + 915989/367190*c_0110_5 - 513745/73438, c_0110_5^10 + 4*c_0110_5^8 + 14*c_0110_5^7 - 15*c_0110_5^6 + 16*c_0110_5^5 + 33*c_0110_5^4 - 196*c_0110_5^3 + 129*c_0110_5^2 + 40*c_0110_5 - 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB