Magma V2.19-8 Wed Aug 21 2013 01:13:52 on localhost [Seed = 1107582203] Type ? for help. Type -D to quit. Loading file "L14n742__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n742 geometric_solution 11.86892777 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 0 1 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 -1 1 0 0 0 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 0.611884471978 0.572294458939 0 0 5 4 0132 1302 0132 0132 0 0 0 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 0 0 0 1 -1 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 0.128274770364 0.815323057677 6 0 6 7 0132 0132 3012 0132 0 1 0 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 -2 0 2 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 0.516560791380 1.118399208520 8 5 5 0 0132 0132 1302 0132 0 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 0 0 0 0 0 1 0 -1 0 0 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 0.611884471978 0.572294458939 8 9 1 10 2103 0132 0132 0132 0 0 1 0 0 -1 0 1 0 0 0 0 1 -1 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 -3 2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.188305373961 1.196881606877 3 3 10 1 2031 0132 0132 0132 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 0 0 0 0 0 0 -1 0 1 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 0.128274770364 0.815323057677 2 2 9 11 0132 1230 1302 0132 1 1 1 0 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 -2 0 2 2 0 -2 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 0.325651300132 0.753369089283 11 10 2 12 0132 0132 0132 0132 0 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 -1 1 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304126134530 0.919908435674 3 11 4 9 0132 1302 2103 3012 1 0 1 0 0 1 -1 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 -3 3 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 1.542691075515 0.867702476395 6 4 8 12 2031 0132 1230 2103 0 1 0 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 1 0 -1 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768112018497 0.647343282013 12 7 4 5 1023 0132 0132 0132 0 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 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 -0.188305373961 1.196881606877 7 12 6 8 0132 1023 0132 2031 1 1 0 1 0 -1 1 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 3 -2 -1 -3 0 0 3 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.164517077060 0.841512767036 11 10 7 9 1023 1023 0132 2103 0 1 0 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 -3 0 3 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 0.029625933448 0.993050842458 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_9'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0011_4'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : 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_3'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0110_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : negation(d['c_0101_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['c_0110_9']), '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_4'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_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'], '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_0110_9'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['1']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_9, c_0110_9, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 8475/453376*c_1100_1^2 + 3293/16192*c_1100_1 + 173/616, c_0011_0 - 1, c_0011_10 - 275/368*c_1100_1^2 + 13/46*c_1100_1 - 38/23, c_0011_3 - 225/184*c_1100_1^2 - 31/46*c_1100_1 - 35/23, c_0011_4 + 725/368*c_1100_1^2 + 9/23*c_1100_1 + 50/23, c_0101_0 - 1, c_0101_1 - 225/184*c_1100_1^2 - 31/46*c_1100_1 - 58/23, c_0101_10 - 225/184*c_1100_1^2 - 31/46*c_1100_1 - 58/23, c_0101_11 - 475/184*c_1100_1^2 - 67/92*c_1100_1 - 102/23, c_0101_5 - 25/184*c_1100_1^2 + 17/46*c_1100_1 - 9/23, c_0101_9 - 375/368*c_1100_1^2 + 35/23*c_1100_1 - 56/23, c_0110_9 + 775/368*c_1100_1^2 - 21/92*c_1100_1 + 36/23, c_1001_0 + 25/92*c_1100_1^2 + 6/23*c_1100_1 - 5/23, c_1100_1^3 + 36/25*c_1100_1^2 + 32/25*c_1100_1 + 64/25 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_9, c_0110_9, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 6409/98560*c_1100_1^2 - 3063/2240*c_1100_1 + 1811/3080, c_0011_0 - 1, c_0011_10 - 1/80*c_1100_1^2 - 3/10*c_1100_1 + 6/5, c_0011_3 - 1/40*c_1100_1^2 - 1/2*c_1100_1 + 3/5, c_0011_4 - 1/80*c_1100_1^2 - 1/5*c_1100_1 + 2/5, c_0101_0 - 1, c_0101_1 - 1/40*c_1100_1^2 - 1/2*c_1100_1 - 2/5, c_0101_10 + 1/40*c_1100_1^2 + 1/2*c_1100_1 + 2/5, c_0101_11 + 1/200*c_1100_1^2 + 7/100*c_1100_1 - 22/25, c_0101_5 - 1/40*c_1100_1^2 + 3/10*c_1100_1 + 1/5, c_0101_9 - 9/400*c_1100_1^2 - 11/25*c_1100_1 + 24/25, c_0110_9 + 1/80*c_1100_1^2 + 1/4*c_1100_1 - 4/5, c_1001_0 + 1/20*c_1100_1^2 + 2/5*c_1100_1 - 7/5, c_1100_1^3 + 20*c_1100_1^2 - 32*c_1100_1 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB