Magma V2.19-8 Tue Aug 20 2013 23:30:26 on localhost [Seed = 442268707] Type ? for help. Type -D to quit. Loading file "L13n673__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n673 geometric_solution 6.78475579 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 8 0 0 1 2 1302 2031 0132 0132 1 1 1 1 0 1 0 -1 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -12 0 12 12 0 -12 0 12 -12 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687879589125 0.417104278197 3 2 4 0 0132 3012 0132 0132 1 1 1 1 0 0 0 0 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 0 0 0 0 0 -12 12 -13 13 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688538341026 0.308172157056 1 3 0 5 1230 3201 0132 0132 1 1 1 1 0 -1 1 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 13 -12 -1 -13 0 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.537306205554 0.792077898465 1 6 2 7 0132 0132 2310 0132 1 1 1 1 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 1 0 0 -1 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877313387808 0.944936510355 5 7 6 1 0132 1302 0321 0132 1 1 1 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -12 12 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.944638587725 1.136708437301 4 6 2 7 0132 2310 0132 0321 1 1 0 1 0 0 0 0 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 0 1 -1 0 0 -13 13 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438656693904 0.472468255178 7 3 4 5 0213 0132 0321 3201 1 0 1 1 0 0 0 0 -2 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 0 0 0 -1 0 0 1 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042744482463 0.877651271290 6 5 3 4 0213 0321 0132 2031 1 1 0 1 0 0 0 0 0 0 0 0 2 0 0 -2 -1 1 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 1 0 0 -1 12 -13 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.042744482463 0.877651271290 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_1_7' : 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' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_1001_6'], 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_6'], 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_1001_6'], 'c_0101_7' : d['c_0011_1'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0011_1'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0011_7, c_0101_2, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 20119/627328*c_1001_6^5 - 1519/5408*c_1001_6^4 - 502855/627328*c_1001_6^3 - 125149/313664*c_1001_6^2 - 32745/156832*c_1001_6 - 262583/78416, c_0011_0 - 1, c_0011_1 - 1/64*c_1001_6^5 - 1/8*c_1001_6^4 - 21/64*c_1001_6^3 - 7/32*c_1001_6^2 - 3/16*c_1001_6 - 5/8, c_0011_2 - 1/32*c_1001_6^5 - 3/16*c_1001_6^4 - 11/32*c_1001_6^3 + 3/16*c_1001_6^2 - 7/8*c_1001_6 + 3/4, c_0011_4 - 1, c_0011_7 + 1/32*c_1001_6^5 + 3/16*c_1001_6^4 + 9/32*c_1001_6^3 - 1/8*c_1001_6^2 + 13/8*c_1001_6, c_0101_2 + 1/16*c_1001_6^4 + 3/8*c_1001_6^3 + 9/16*c_1001_6^2 - 1/4*c_1001_6 + 5/4, c_1001_3 - 1/32*c_1001_6^5 - 3/16*c_1001_6^4 - 3/32*c_1001_6^3 + 15/16*c_1001_6^2 - 7/8*c_1001_6 - 1/4, c_1001_6^6 + 6*c_1001_6^5 + 9*c_1001_6^4 - 8*c_1001_6^3 + 40*c_1001_6^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB