Magma V2.19-8 Wed Aug 21 2013 01:08:13 on localhost [Seed = 1713405789] Type ? for help. Type -D to quit. Loading file "L14n38769__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38769 geometric_solution 11.55292360 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 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 -8 7 1 0 0 0 0 -7 6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.069906924191 1.621940769875 0 5 7 6 0132 0132 0132 0132 1 0 0 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 1 0 0 0 0 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612632467554 0.757973919579 5 0 9 8 0132 0132 0132 0132 0 0 0 1 0 -1 0 1 -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 8 0 -8 8 0 0 -8 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.320100439807 0.891039182086 4 3 3 0 3201 3201 2310 0132 0 0 0 0 0 -1 0 1 -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 7 0 -7 7 0 -7 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026524315325 0.615402106685 10 11 0 3 0132 0132 0132 2310 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 0 7 0 -7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.069906924191 1.621940769875 2 1 10 11 0132 0132 2310 2310 1 0 1 0 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 1 0 -1 -8 0 8 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.192031752386 0.639329396234 11 12 1 7 2310 0132 0132 0321 1 0 1 0 0 0 0 0 1 0 0 -1 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 0 0 -7 0 0 7 -7 0 0 7 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781266521653 0.308018853630 9 6 12 1 0321 0321 3201 0132 1 0 1 0 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 0 1 -1 0 0 0 0 0 -7 0 7 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634025320505 1.165704963735 12 9 2 10 3201 3120 0132 1023 0 0 1 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 -8 8 0 -8 0 8 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 0.357089516057 0.994002852699 7 8 10 2 0321 3120 1023 0132 0 0 1 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 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357089516057 0.994002852699 4 5 9 8 0132 3201 1023 1023 0 0 1 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 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.320100439807 0.891039182086 5 4 6 12 3201 0132 3201 1302 0 1 1 0 0 0 -1 1 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 -1 8 -7 -6 0 7 -1 1 -1 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612632467554 0.757973919579 7 6 11 8 2310 0132 2031 2310 1 0 0 1 0 0 0 0 1 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 -7 0 7 0 0 -8 0 8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639933498556 0.662010324247 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_0']), 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : negation(d['c_0110_8']), 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0110_8']), 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0110_8']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : d['c_0110_8'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], '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_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' : negation(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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1100_10']), 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1100_10'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : negation(d['c_0110_11']), 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0110_8']), 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_1100_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : negation(d['1']), 'c_1100_12' : d['c_0011_8'], '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' : d['c_0011_9'], '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_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_7'])})} 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_12, c_0011_3, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_0110_11, c_0110_8, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 17507195789/7226359*c_1100_10^6 - 534142098065/231243488*c_1100_10^5 + 1761404899573/115621744*c_1100_10^4 - 901271195889/28905436*c_1100_10^3 - 1409526554997/28905436*c_1100_10^2 + 896994987667/14452718*c_1100_10 - 216274089641/14452718, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + 4445397/50584513*c_1100_10^6 + 129727161/1618704416*c_1100_10^5 - 121237993/202338052*c_1100_10^4 + 442390281/404676104*c_1100_10^3 + 409940267/202338052*c_1100_10^2 - 260533921/101169026*c_1100_10 + 9862434/50584513, c_0011_3 + 517339/7226359*c_1100_10^6 - 12336521/231243488*c_1100_10^5 - 66612985/115621744*c_1100_10^4 + 10954474/7226359*c_1100_10^3 - 727673/14452718*c_1100_10^2 - 30025642/7226359*c_1100_10 + 10661873/7226359, c_0011_7 - 34839155/50584513*c_1100_10^6 - 1456616495/1618704416*c_1100_10^5 + 800597587/202338052*c_1100_10^4 - 3042132035/404676104*c_1100_10^3 - 819854705/50584513*c_1100_10^2 + 1166806541/101169026*c_1100_10 - 58075216/50584513, c_0011_8 + 6543050/50584513*c_1100_10^6 + 41161481/809352208*c_1100_10^5 - 196551625/202338052*c_1100_10^4 + 821857079/404676104*c_1100_10^3 + 100823465/50584513*c_1100_10^2 - 292409408/50584513*c_1100_10 + 94643544/50584513, c_0011_9 + 6543050/50584513*c_1100_10^6 + 41161481/809352208*c_1100_10^5 - 196551625/202338052*c_1100_10^4 + 821857079/404676104*c_1100_10^3 + 100823465/50584513*c_1100_10^2 - 292409408/50584513*c_1100_10 + 94643544/50584513, c_0101_0 - 1, c_0101_10 + 2640959/7226359*c_1100_10^6 + 92308267/231243488*c_1100_10^5 - 252482927/115621744*c_1100_10^4 + 258190249/57810872*c_1100_10^3 + 216089385/28905436*c_1100_10^2 - 53650136/7226359*c_1100_10 + 10749960/7226359, c_0101_5 - 4975498/7226359*c_1100_10^6 - 86672905/115621744*c_1100_10^5 + 486198183/115621744*c_1100_10^4 - 483655033/57810872*c_1100_10^3 - 106076867/7226359*c_1100_10^2 + 117531103/7226359*c_1100_10 - 24997317/7226359, c_0110_11 - 177210064/354091591*c_1100_10^6 - 374495405/708183182*c_1100_10^5 + 17152216293/5665465456*c_1100_10^\ 4 - 8758075463/1416366364*c_1100_10^3 - 7314344039/708183182*c_1100_10^2 + 3929352417/354091591*c_1100_10 - 1082876174/354091591, c_0110_8 + 34839155/50584513*c_1100_10^6 + 1456616495/1618704416*c_1100_10^5 - 800597587/202338052*c_1100_10^4 + 3042132035/404676104*c_1100_10^3 + 819854705/50584513*c_1100_10^2 - 1166806541/101169026*c_1100_10 + 58075216/50584513, c_1100_10^7 + 21/32*c_1100_10^6 - 105/16*c_1100_10^5 + 59/4*c_1100_10^4 + 65/4*c_1100_10^3 - 63/2*c_1100_10^2 + 14*c_1100_10 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.600 seconds, Total memory usage: 32.09MB