Magma V2.19-8 Tue Aug 20 2013 16:15:54 on localhost [Seed = 1899031880] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0122 geometric_solution 3.63597409 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574753746734 0.011654949149 2 0 2 0 0132 2310 1023 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 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 0.454885639151 0.052135904310 1 3 1 3 0132 0132 1023 2310 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.277833944054 1.531822240692 2 2 5 4 3201 0132 0132 0132 0 0 0 0 0 1 0 -1 -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 -1 0 0 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 0.513729240534 0.371299193642 5 6 3 5 1230 0132 0132 1302 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 -1 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797043850617 0.404780305458 6 4 4 3 3201 3012 2031 0132 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 1 -1 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 0.797043850617 0.404780305458 6 4 6 5 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.989845092676 1.974169298087 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(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' : negation(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' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_4'], '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_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0110_0']), '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_4, c_0101_1, c_0101_4, c_0101_5, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 11651/336*c_0110_0^20 + 3629/48*c_0110_0^19 + 12535/21*c_0110_0^18 - 146761/112*c_0110_0^17 - 1454359/336*c_0110_0^16 + 3205549/336*c_0110_0^15 + 5804599/336*c_0110_0^14 - 606759/16*c_0110_0^13 - 878498/21*c_0110_0^12 + 10038831/112*c_0110_0^11 + 1548391/24*c_0110_0^10 - 6182399/48*c_0110_0^9 - 22017997/336*c_0110_0^8 + 18564613/168*c_0110_0^7 + 7502771/168*c_0110_0^6 - 1270411/24*c_0110_0^5 - 6607493/336*c_0110_0^4 + 3993403/336*c_0110_0^3 + 132193/28*c_0110_0^2 - 72577/112*c_0110_0 - 17737/48, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_4 + c_0110_0^20 - c_0110_0^19 - 18*c_0110_0^18 + 17*c_0110_0^17 + 137*c_0110_0^16 - 121*c_0110_0^15 - 574*c_0110_0^14 + 467*c_0110_0^13 + 1445*c_0110_0^12 - 1057*c_0110_0^11 - 2242*c_0110_0^10 + 1415*c_0110_0^9 + 2120*c_0110_0^8 - 1072*c_0110_0^7 - 1168*c_0110_0^6 + 410*c_0110_0^5 + 341*c_0110_0^4 - 61*c_0110_0^3 - 42*c_0110_0^2 + c_0110_0 + 2, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_4 - c_0110_0^6 + 5*c_0110_0^4 - 6*c_0110_0^2 + 1, c_0101_5 + c_0110_0^10 - 9*c_0110_0^8 + 28*c_0110_0^6 - 35*c_0110_0^4 + 15*c_0110_0^2 - 1, c_0110_0^21 - 2*c_0110_0^20 - 18*c_0110_0^19 + 36*c_0110_0^18 + 137*c_0110_0^17 - 274*c_0110_0^16 - 574*c_0110_0^15 + 1147*c_0110_0^14 + 1446*c_0110_0^13 - 2877*c_0110_0^12 - 2254*c_0110_0^11 + 4418*c_0110_0^10 + 2175*c_0110_0^9 - 4075*c_0110_0^8 - 1288*c_0110_0^7 + 2126*c_0110_0^6 + 467*c_0110_0^5 - 556*c_0110_0^4 - 98*c_0110_0^3 + 56*c_0110_0^2 + 9*c_0110_0 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB