Magma V2.19-8 Wed Aug 21 2013 00:59:07 on localhost [Seed = 1360480817] Type ? for help. Type -D to quit. Loading file "L13n6577__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6577 geometric_solution 12.18281286 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 -1 1 0 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 1 -1 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708819928553 0.517784312535 0 4 6 5 0132 2103 0132 0132 1 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593864939333 0.606169539884 7 0 7 3 0132 0132 3012 1302 1 1 1 0 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 0 0 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 0.175321682969 0.841765261556 8 9 2 0 0132 0132 2031 0132 1 1 1 1 0 1 0 -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 1 0 -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 0.631699075050 0.486762405014 8 1 0 9 1230 2103 0132 3012 1 1 1 0 0 0 0 0 1 0 0 -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 1 -1 1 0 0 -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 0.988506499525 1.306452871783 8 10 1 11 2103 0132 0132 0132 1 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 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 0.175321682969 0.841765261556 8 10 12 1 3201 2031 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073579979796 1.061139948323 2 2 12 11 0132 1230 1302 2031 1 1 0 1 0 0 0 0 -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 0 0 0 -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 0.593864939333 0.606169539884 3 4 5 6 0132 3012 2103 2310 0 1 1 1 0 1 -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 0 0 0 0 0 1 -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 0 0 0 0 0.934967386835 0.937873372132 10 3 4 12 3012 0132 1230 2031 1 1 1 1 0 -1 1 0 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 -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 0.599427052449 1.024902637751 6 5 11 9 1302 0132 2103 1230 1 1 1 0 0 0 0 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 0 0 0 0 0 0 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988506499525 1.306452871783 10 7 5 12 2103 1302 0132 0132 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 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 0.825138197685 1.467283156813 7 9 11 6 2031 1302 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006733350332 0.765372124653 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0101_9'], '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_6']), 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], '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' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : negation(d['c_0101_3']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0011_11'], 'c_1100_8' : d['c_0011_6']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_9, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1987*c_1001_0^6 - 39363/4*c_1001_0^5 + 151549/8*c_1001_0^4 - 62139/4*c_1001_0^3 + 81469/8*c_1001_0^2 - 32873/8*c_1001_0 + 577, c_0011_0 - 1, c_0011_10 + 42*c_1001_0^6 - 447/2*c_1001_0^5 + 943/2*c_1001_0^4 - 450*c_1001_0^3 + 291*c_1001_0^2 - 137*c_1001_0 + 51/2, c_0011_11 + 1, c_0011_12 + 18*c_1001_0^6 - 191/2*c_1001_0^5 + 201*c_1001_0^4 - 192*c_1001_0^3 + 251/2*c_1001_0^2 - 119/2*c_1001_0 + 21/2, c_0011_3 - 24*c_1001_0^6 + 128*c_1001_0^5 - 541/2*c_1001_0^4 + 258*c_1001_0^3 - 331/2*c_1001_0^2 + 157/2*c_1001_0 - 14, c_0011_6 - 4*c_1001_0^6 + 23*c_1001_0^5 - 54*c_1001_0^4 + 62*c_1001_0^3 - 46*c_1001_0^2 + 25*c_1001_0 - 7, c_0101_0 - 1, c_0101_1 - 4*c_1001_0^6 + 23*c_1001_0^5 - 54*c_1001_0^4 + 62*c_1001_0^3 - 46*c_1001_0^2 + 25*c_1001_0 - 7, c_0101_12 - c_1001_0, c_0101_3 + 18*c_1001_0^6 - 191/2*c_1001_0^5 + 201*c_1001_0^4 - 192*c_1001_0^3 + 251/2*c_1001_0^2 - 117/2*c_1001_0 + 21/2, c_0101_9 + 32*c_1001_0^6 - 170*c_1001_0^5 + 715/2*c_1001_0^4 - 679/2*c_1001_0^3 + 441/2*c_1001_0^2 - 105*c_1001_0 + 37/2, c_1001_0^7 - 23/4*c_1001_0^6 + 27/2*c_1001_0^5 - 31/2*c_1001_0^4 + 23/2*c_1001_0^3 - 25/4*c_1001_0^2 + 2*c_1001_0 - 1/4, c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.470 seconds, Total memory usage: 32.09MB