Magma V2.19-8 Tue Aug 20 2013 23:52:59 on localhost [Seed = 1916017076] Type ? for help. Type -D to quit. Loading file "L13n4557__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4557 geometric_solution 11.61496514 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 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 1 -1 0 0 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815884960307 1.114308563532 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -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 4 0 0 -4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298037152071 0.677445531457 6 0 8 3 3012 0132 0132 3012 0 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 0 0 0 0 0 0 0 0 0 0 -1 -2 3 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 0.489792136219 0.846908276492 9 5 2 0 0132 1230 1230 0132 0 1 1 0 0 0 0 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 0 0 0 0 0 1 -1 5 0 0 -5 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792529175729 0.800671443170 10 11 0 7 0132 0132 0132 0132 0 1 0 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 -1 0 1 0 1 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593664632771 0.604155885125 9 1 3 11 3201 0132 3012 3120 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 -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 0.489792136219 0.846908276492 9 7 1 2 2103 3012 0132 1230 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 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737600543381 0.711838516224 6 10 4 1 1230 3120 0132 0132 0 1 1 0 0 0 0 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 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711043762579 0.688405297987 10 11 11 2 2310 0321 1023 0132 0 0 1 0 0 0 -1 1 0 0 0 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 0 -2 2 0 0 0 0 5 -5 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991152395375 1.192877186738 3 10 6 5 0132 1302 2103 2310 1 1 0 1 0 -1 0 1 0 0 0 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 -4 0 4 0 0 0 0 -2 2 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815884960307 1.114308563532 4 7 8 9 0132 3120 3201 2031 0 1 1 0 0 0 1 -1 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 0 2 -2 1 0 -5 4 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172525990719 0.842097145255 5 4 8 8 3120 0132 1023 0321 0 0 1 0 0 0 0 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 0 0 0 0 0 2 -2 0 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587936514009 0.495928914888 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_0011_8']), 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_3'], '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' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0011_6'], 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1040921/368*c_1001_2^9 + 259153/368*c_1001_2^8 + 4918799/736*c_1001_2^7 + 1287319/736*c_1001_2^6 + 14983841/5888*c_1001_2^5 + 8853757/5888*c_1001_2^4 - 15259821/5888*c_1001_2^3 + 4593/32*c_1001_2^2 - 6057577/5888*c_1001_2 - 2220321/5888, c_0011_0 - 1, c_0011_10 + 48/23*c_1001_2^9 - 16/23*c_1001_2^8 + 64/23*c_1001_2^7 - 52/23*c_1001_2^6 - 39/23*c_1001_2^5 - 44/23*c_1001_2^4 - 93/23*c_1001_2^3 - 50/23*c_1001_2 + 9/23, c_0011_3 - 144/23*c_1001_2^9 + 48/23*c_1001_2^8 - 376/23*c_1001_2^7 + 64/23*c_1001_2^6 - 205/23*c_1001_2^5 - 75/23*c_1001_2^4 + 118/23*c_1001_2^3 - 4*c_1001_2^2 + 81/23*c_1001_2 - 4/23, c_0011_6 + 24/23*c_1001_2^9 - 8/23*c_1001_2^8 + 124/23*c_1001_2^7 + 20/23*c_1001_2^6 + 283/46*c_1001_2^5 + 71/46*c_1001_2^4 - 12/23*c_1001_2^3 + 1/2*c_1001_2^2 - 48/23*c_1001_2 + 9/46, c_0011_8 + c_1001_2, c_0101_0 + 8/23*c_1001_2^9 + 120/23*c_1001_2^8 - 20/23*c_1001_2^7 + 252/23*c_1001_2^6 - 151/46*c_1001_2^5 + 131/46*c_1001_2^4 + 61/46*c_1001_2^3 - 9/2*c_1001_2^2 + 76/23*c_1001_2 - 33/23, c_0101_10 + 48/23*c_1001_2^9 - 16/23*c_1001_2^8 + 64/23*c_1001_2^7 - 52/23*c_1001_2^6 - 39/23*c_1001_2^5 - 44/23*c_1001_2^4 - 93/23*c_1001_2^3 - 50/23*c_1001_2 + 9/23, c_0101_11 + 2*c_1001_2^3 + 2*c_1001_2, c_0101_3 + 1, c_0101_8 - 16/23*c_1001_2^9 - 56/23*c_1001_2^8 - 52/23*c_1001_2^7 - 182/23*c_1001_2^6 - 148/23*c_1001_2^5 - 154/23*c_1001_2^4 - 176/23*c_1001_2^3 - 60/23*c_1001_2 + 20/23, c_0110_2 + 144/23*c_1001_2^9 - 48/23*c_1001_2^8 + 376/23*c_1001_2^7 - 64/23*c_1001_2^6 + 205/23*c_1001_2^5 + 75/23*c_1001_2^4 - 118/23*c_1001_2^3 + 4*c_1001_2^2 - 81/23*c_1001_2 + 4/23, c_1001_2^10 + 5/2*c_1001_2^8 + 17/16*c_1001_2^6 + 1/4*c_1001_2^5 - 9/8*c_1001_2^4 + 5/16*c_1001_2^3 - 9/16*c_1001_2^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB