Magma V2.19-8 Wed Aug 21 2013 00:56:39 on localhost [Seed = 2934486118] Type ? for help. Type -D to quit. Loading file "L13n2772__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2772 geometric_solution 11.43316523 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 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 0 0 0 -2 1 1 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.355511337637 0.798326537105 0 5 7 6 0132 0132 0132 0132 1 1 1 1 0 0 1 -1 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 5 -5 1 0 0 -1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952630541844 1.011826360335 8 0 10 9 0132 0132 0132 0132 0 1 1 1 0 1 0 -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 2 0 -2 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497112113003 0.441027762700 9 11 8 0 0321 0132 0321 0132 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 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 0.655079267020 0.716107177250 12 5 0 11 0132 1230 0132 0132 0 1 1 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 1 -1 0 0 0 -1 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 0.358948394729 0.985885909412 6 1 4 10 3201 0132 3012 2031 1 0 1 1 0 0 0 0 1 0 -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 1 0 -1 0 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256708293894 0.435262213539 9 12 1 5 1302 2103 0132 2310 1 1 0 1 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 0 5 -5 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 0.702048880377 0.957964240378 12 10 8 1 3120 1230 2310 0132 1 1 1 0 0 0 1 -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 1 4 -5 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300677904109 0.375225961942 2 7 3 9 0132 3201 0321 0213 0 1 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 -1 1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.487170285347 0.856770691986 3 6 2 8 0321 2031 0132 0213 0 1 1 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 -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 0 0 0 0 0 0.753182013627 1.260887963147 11 5 7 2 0321 1302 3012 0132 0 1 1 1 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 1 0 -1 0 0 0 0 0 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474383608899 0.386344022281 10 3 4 12 0321 0132 0132 0132 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 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 -0.096932211470 1.283040744220 4 6 11 7 0132 2103 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345392271133 0.574710850532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_7']), 'c_1100_8' : d['c_0011_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1001_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_1001_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_1001_7']), '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_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_7']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_9']), 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : negation(d['c_0011_9']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_9']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 152315383/165396952*c_1001_7^9 + 427115421/165396952*c_1001_7^8 - 491623331/165396952*c_1001_7^7 - 106384095/165396952*c_1001_7^6 + 501743451/41349238*c_1001_7^5 - 505712269/20674619*c_1001_7^4 + 1306669193/41349238*c_1001_7^3 - 1084501801/41349238*c_1001_7^2 + 472961619/41349238*c_1001_7 - 300756769/41349238, c_0011_0 - 1, c_0011_10 + 1/4*c_1001_7^8 - 1/4*c_1001_7^7 - 1/4*c_1001_7^6 + 3/4*c_1001_7^5 - 2*c_1001_7^4 + 2*c_1001_7^3 + 1/2*c_1001_7^2 - 2*c_1001_7 + 1, c_0011_11 + 1/8*c_1001_7^9 - 1/4*c_1001_7^8 - 3/8*c_1001_7^7 + c_1001_7^6 - 3/4*c_1001_7^5 + 2*c_1001_7^3 - 3/2*c_1001_7^2 - 1/2*c_1001_7 + 1, c_0011_12 - 1/8*c_1001_7^9 + 3/8*c_1001_7^7 - 1/4*c_1001_7^6 + 1/4*c_1001_7^5 + 1/2*c_1001_7^4 - c_1001_7^3 + 1/2*c_1001_7^2 + 1/2*c_1001_7 - 2, c_0011_6 + 1/24*c_1001_7^9 - 1/8*c_1001_7^8 + 1/8*c_1001_7^7 + 7/24*c_1001_7^6 - 3/4*c_1001_7^5 + 13/12*c_1001_7^4 - 1/3*c_1001_7^3 - 5/6*c_1001_7^2 + 2/3*c_1001_7 - 5/6, c_0011_7 - 1/24*c_1001_7^9 - 1/8*c_1001_7^8 + 1/8*c_1001_7^7 - 1/24*c_1001_7^6 + 11/12*c_1001_7^4 - 2/3*c_1001_7^3 + 1/3*c_1001_7^2 + 1/3*c_1001_7 - 1/6, c_0011_9 - 3/8*c_1001_7^9 + c_1001_7^8 - 1/8*c_1001_7^7 - 9/4*c_1001_7^6 + 5*c_1001_7^5 - 6*c_1001_7^4 + 2*c_1001_7^3 + 4*c_1001_7^2 - 11/2*c_1001_7 + 1, c_0101_1 + 1/4*c_1001_7^9 - 3/8*c_1001_7^8 - 1/2*c_1001_7^7 + 9/8*c_1001_7^6 - 2*c_1001_7^5 + 7/4*c_1001_7^4 + 2*c_1001_7^3 - 3*c_1001_7^2 + 3/2*c_1001_7 + 3/2, c_0101_3 - 1/4*c_1001_7^8 + 1/4*c_1001_7^7 + 1/4*c_1001_7^6 - 5/4*c_1001_7^5 + 2*c_1001_7^4 - 1/2*c_1001_7^3 - 3/2*c_1001_7^2 + 2*c_1001_7, c_0101_5 - 1, c_0101_7 + 1/6*c_1001_7^9 - 1/8*c_1001_7^8 - 1/4*c_1001_7^7 + 13/24*c_1001_7^6 - c_1001_7^5 + 7/12*c_1001_7^4 + 2/3*c_1001_7^3 - 4/3*c_1001_7^2 + 1/6*c_1001_7 + 1/6, c_1001_2 - 1/6*c_1001_7^9 + 1/8*c_1001_7^8 + 1/4*c_1001_7^7 - 13/24*c_1001_7^6 + c_1001_7^5 - 7/12*c_1001_7^4 - 2/3*c_1001_7^3 + 1/3*c_1001_7^2 + 5/6*c_1001_7 - 1/6, c_1001_7^10 - 2*c_1001_7^9 + 4*c_1001_7^7 - 11*c_1001_7^6 + 14*c_1001_7^5 - 6*c_1001_7^4 - 4*c_1001_7^3 + 8*c_1001_7^2 - 4*c_1001_7 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB