Magma V2.19-8 Wed Aug 21 2013 00:56:51 on localhost [Seed = 3103695463] Type ? for help. Type -D to quit. Loading file "L13n3016__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3016 geometric_solution 12.28115315 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 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 1 -1 0 0 1 -1 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.095585845470 0.942500526372 0 2 5 4 0132 0321 0132 0321 0 1 1 1 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 1 -1 0 0 0 0 0 1 0 -1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571287239304 0.493644183623 6 0 7 1 0132 0132 0132 0321 0 1 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 0 0 0 0 0 0 -9 0 0 9 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.865083819808 0.906473404348 4 8 9 0 0321 0132 0132 0132 0 1 1 1 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 1 0 -1 -9 0 10 -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 0.467498907575 0.772868171674 3 1 0 10 0321 0321 0132 0132 0 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 1 1 -2 -1 0 1 0 0 1 0 -1 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.331104110894 0.999410421276 11 6 7 1 0132 0321 0213 0132 0 1 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 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 -10 10 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246179731982 1.052193743777 2 12 8 5 0132 0132 0132 0321 0 1 1 1 0 0 0 0 -1 0 0 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 0 1 -1 9 0 0 -9 0 10 0 -10 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542669203524 0.477684144021 11 5 12 2 1230 0213 0321 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 0 0 0 0 0 0 0 0 1 9 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496797936178 0.859406684568 12 3 10 6 0321 0132 0213 0132 0 1 1 1 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 0 0 0 0 0 -1 2 -1 -10 0 10 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 0.733120176211 1.184617665387 11 12 10 3 2310 0321 0132 0132 0 1 1 1 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 0 0 0 10 0 0 -10 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467498907575 0.772868171674 11 8 4 9 3120 0213 0132 0132 0 1 1 1 0 -1 1 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 -2 2 0 0 0 0 0 0 -10 0 10 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.046426861302 0.804198833078 5 7 9 10 0132 3012 3201 3120 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 -1 0 1 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608052511708 0.695944092171 8 6 7 9 0321 0132 0321 0321 0 1 1 1 0 0 0 0 0 0 -1 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 10 -10 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702895050661 0.779251089741 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : negation(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_2_7' : 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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_5'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : 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_1001_5'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0011_11']})} 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_3, c_0011_4, c_0011_7, c_0101_1, c_1001_0, c_1001_1, c_1001_2, c_1001_3, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 85607/133568*c_1100_0^8 - 425141/66784*c_1100_0^7 + 830589/133568*c_1100_0^6 + 1920921/133568*c_1100_0^5 + 38199/33392*c_1100_0^4 + 1990889/133568*c_1100_0^3 + 133185/33392*c_1100_0^2 + 569539/33392*c_1100_0 + 7957/4174, c_0011_0 - 1, c_0011_10 + 11/16696*c_1100_0^8 + 459/33392*c_1100_0^7 - 6177/33392*c_1100_0^6 + 1651/16696*c_1100_0^5 + 24767/33392*c_1100_0^4 - 12895/33392*c_1100_0^3 + 1457/16696*c_1100_0^2 - 2621/8348*c_1100_0 - 1695/4174, c_0011_11 - 3565/33392*c_1100_0^8 + 36327/33392*c_1100_0^7 - 22743/16696*c_1100_0^6 - 51649/33392*c_1100_0^5 - 20095/33392*c_1100_0^4 - 26985/8348*c_1100_0^3 + 6743/8348*c_1100_0^2 - 4407/2087*c_1100_0 + 303/2087, c_0011_3 + 479/4174*c_1100_0^8 - 18651/16696*c_1100_0^7 + 14715/16696*c_1100_0^6 + 5875/2087*c_1100_0^5 + 18185/16696*c_1100_0^4 + 37145/16696*c_1100_0^3 - 4969/8348*c_1100_0^2 + 3688/2087*c_1100_0 + 1886/2087, c_0011_4 - 565/8348*c_1100_0^8 + 6331/8348*c_1100_0^7 - 6391/4174*c_1100_0^6 - 4357/8348*c_1100_0^5 + 15367/8348*c_1100_0^4 - 3463/2087*c_1100_0^3 + 975/2087*c_1100_0^2 - 6533/4174*c_1100_0 + 2443/2087, c_0011_7 + 1095/33392*c_1100_0^8 - 12159/33392*c_1100_0^7 + 6073/8348*c_1100_0^6 + 1943/33392*c_1100_0^5 - 8949/33392*c_1100_0^4 + 18465/16696*c_1100_0^3 + 733/8348*c_1100_0^2 + 2984/2087*c_1100_0 - 1059/2087, c_0101_1 + 1553/33392*c_1100_0^8 - 12659/33392*c_1100_0^7 - 6901/16696*c_1100_0^6 + 75997/33392*c_1100_0^5 + 48843/33392*c_1100_0^4 + 129/8348*c_1100_0^3 + 15235/8348*c_1100_0^2 - 649/2087*c_1100_0 + 3970/2087, c_1001_0 - 1, c_1001_1 - 739/8348*c_1100_0^8 + 15457/16696*c_1100_0^7 - 22529/16696*c_1100_0^6 - 2543/2087*c_1100_0^5 + 4949/16696*c_1100_0^4 - 43243/16696*c_1100_0^3 + 2328/2087*c_1100_0^2 - 2553/2087*c_1100_0 + 606/2087, c_1001_2 - 609/33392*c_1100_0^8 + 5413/33392*c_1100_0^7 - 107/8348*c_1100_0^6 - 10961/33392*c_1100_0^5 - 29993/33392*c_1100_0^4 - 10727/16696*c_1100_0^3 - 2569/8348*c_1100_0^2 - 1854/2087*c_1100_0 - 303/2087, c_1001_3 - 1583/33392*c_1100_0^8 + 19053/33392*c_1100_0^7 - 24651/16696*c_1100_0^6 + 5257/33392*c_1100_0^5 + 64043/33392*c_1100_0^4 - 5337/4174*c_1100_0^3 + 3698/2087*c_1100_0^2 - 5927/4174*c_1100_0 + 1834/2087, c_1001_5 + 681/16696*c_1100_0^8 - 6567/16696*c_1100_0^7 + 2059/8348*c_1100_0^6 + 22147/16696*c_1100_0^5 + 3663/16696*c_1100_0^4 + 205/2087*c_1100_0^3 + 2507/8348*c_1100_0^2 + 178/2087*c_1100_0 + 1130/2087, c_1100_0^9 - 10*c_1100_0^8 + 11*c_1100_0^7 + 15*c_1100_0^6 + 12*c_1100_0^5 + 31*c_1100_0^4 - 4*c_1100_0^3 + 32*c_1100_0^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB