Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 3583265001] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3531 geometric_solution 6.88481368 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287859636573 0.867415350920 0 0 5 4 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.655370414542 1.038481797472 3 0 6 4 2310 0132 0132 0213 0 0 0 0 0 1 -1 0 0 0 -1 1 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 1 -1 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 0.180164639569 0.970814141512 6 5 2 0 0132 0213 3201 0132 0 0 0 0 0 -1 1 0 1 0 0 -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 0 0 1 -1 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 0.180164639569 0.970814141512 5 6 1 2 1302 3120 0132 0213 0 0 0 0 0 0 0 0 -1 0 1 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 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 0.312261990341 0.986519583666 6 4 3 1 2031 2031 0213 0132 0 0 0 0 0 -1 1 0 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 0 0 0 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 0.312261990341 0.986519583666 3 4 5 2 0132 3120 1302 0132 0 0 0 0 0 0 -1 1 -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 0 -1 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 0.855254282058 0.867132598434 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : d['c_0011_3'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_5']), '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_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_5, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 10607/976*c_1001_0^8 + 39111/976*c_1001_0^7 + 13363/488*c_1001_0^6 - 27403/244*c_1001_0^5 - 20153/122*c_1001_0^4 + 3931/16*c_1001_0^3 + 62539/488*c_1001_0^2 - 95419/244*c_1001_0 + 30513/122, c_0011_0 - 1, c_0011_3 + 85/488*c_1001_0^8 + 323/488*c_1001_0^7 + 89/122*c_1001_0^6 - 135/122*c_1001_0^5 - 139/61*c_1001_0^4 + 17/8*c_1001_0^3 + 49/61*c_1001_0^2 - 393/122*c_1001_0 + 121/61, c_0011_4 - 49/244*c_1001_0^8 - 87/122*c_1001_0^7 - 127/244*c_1001_0^6 + 231/122*c_1001_0^5 + 166/61*c_1001_0^4 - 17/4*c_1001_0^3 - 475/244*c_1001_0^2 + 705/122*c_1001_0 - 184/61, c_0011_5 + 49/244*c_1001_0^8 + 87/122*c_1001_0^7 + 127/244*c_1001_0^6 - 231/122*c_1001_0^5 - 166/61*c_1001_0^4 + 17/4*c_1001_0^3 + 475/244*c_1001_0^2 - 705/122*c_1001_0 + 184/61, c_0101_1 - 1, c_0101_2 + 9/122*c_1001_0^8 + 105/244*c_1001_0^7 + 145/244*c_1001_0^6 - 25/61*c_1001_0^5 - 117/61*c_1001_0^4 + 3/2*c_1001_0^3 + 599/244*c_1001_0^2 - 310/61*c_1001_0 + 151/61, c_1001_0^9 + 3*c_1001_0^8 - 12*c_1001_0^6 - 8*c_1001_0^5 + 33*c_1001_0^4 - 4*c_1001_0^3 - 44*c_1001_0^2 + 48*c_1001_0 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB