Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 2564359241] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1347 geometric_solution 5.21882675 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735013959620 0.199044369221 0 0 1 1 0132 3201 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 0.572854270846 0.101872339192 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 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 -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 0.784057572715 0.958264505572 2 5 4 6 0132 0132 3012 0132 1 0 0 0 0 1 -1 0 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 -1 0 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 1.461253696619 1.298619555172 5 3 6 2 2310 1230 2310 0132 0 0 0 1 0 0 0 0 0 0 1 -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 0 0 0 0 0 1 -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 1.461253696619 1.298619555172 6 3 4 6 0132 0132 3201 0213 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 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0.272553809888 0.656976586447 5 4 3 5 0132 3201 0132 0213 1 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 -1 1 -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 0.272553809888 0.656976586447 ==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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], '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_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 5/22*c_0101_4^10 - 73/176*c_0101_4^9 - 7/176*c_0101_4^8 + 213/176*c_0101_4^7 - 195/88*c_0101_4^6 + 25/16*c_0101_4^5 - 1/11*c_0101_4^4 - 113/176*c_0101_4^3 + 129/88*c_0101_4^2 - 101/44*c_0101_4 + 41/22, c_0011_0 - 1, c_0011_4 + 1, c_0101_0 - 5/48*c_0101_4^10 + 13/48*c_0101_4^9 + 5/48*c_0101_4^8 - 29/24*c_0101_4^7 + 83/48*c_0101_4^6 + 1/3*c_0101_4^5 - 145/48*c_0101_4^4 + 77/24*c_0101_4^3 - 11/6*c_0101_4 + 4/3, c_0101_1 - 1/12*c_0101_4^10 + 1/24*c_0101_4^9 + 5/24*c_0101_4^8 - 13/24*c_0101_4^7 + 1/12*c_0101_4^6 + 19/24*c_0101_4^5 - 2/3*c_0101_4^4 - 17/24*c_0101_4^3 + 1/2*c_0101_4^2 + 5/6*c_0101_4 - 4/3, c_0101_2 - 1/3*c_0101_4^10 + 2/3*c_0101_4^9 + 1/3*c_0101_4^8 - 11/3*c_0101_4^7 + 16/3*c_0101_4^6 + 2/3*c_0101_4^5 - 35/3*c_0101_4^4 + 41/3*c_0101_4^3 - c_0101_4^2 - 35/3*c_0101_4 + 29/3, c_0101_3 + 13/48*c_0101_4^10 - 23/48*c_0101_4^9 - 19/48*c_0101_4^8 + 35/12*c_0101_4^7 - 175/48*c_0101_4^6 - 37/24*c_0101_4^5 + 449/48*c_0101_4^4 - 107/12*c_0101_4^3 - 7/4*c_0101_4^2 + 29/3*c_0101_4 - 17/3, c_0101_4^11 - 3*c_0101_4^10 + c_0101_4^9 + 12*c_0101_4^8 - 27*c_0101_4^7 + 14*c_0101_4^6 + 37*c_0101_4^5 - 76*c_0101_4^4 + 44*c_0101_4^3 + 32*c_0101_4^2 - 64*c_0101_4 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB