Magma V2.19-8 Tue Aug 20 2013 23:38:21 on localhost [Seed = 38037029] Type ? for help. Type -D to quit. Loading file "K13n621__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n621 geometric_solution 9.36360551 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 -1 0 0 0 0 0 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540250528055 0.388928827540 0 5 7 6 0132 0132 0132 0132 0 0 0 0 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 0 0 0 -1 0 0 1 17 -17 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654563586324 1.528490149909 6 0 8 5 0132 0132 0132 1023 0 0 0 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 0 0 0 0 0 0 0 16 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.001264094121 1.092886166230 7 5 4 0 1023 1023 2310 0132 0 0 0 0 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 -1 1 17 0 0 -17 -16 17 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948838623041 0.728180903676 6 3 0 8 3012 3201 0132 1230 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 0 0 0 1 -1 0 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 0.655759969126 0.648808226475 3 1 9 2 1023 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 -16 0 16 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575627992250 0.590923971054 2 7 1 4 0132 1023 0132 1230 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 -1 1 0 -1 0 1 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352714880778 0.702390261536 6 3 8 1 1023 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 1 -17 0 16 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352714880778 0.702390261536 4 7 9 2 3012 3201 2310 0132 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 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 -0.069456993048 1.220766824195 9 8 9 5 2031 3201 1302 0132 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 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 0.366214740925 0.708208215528 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_7']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : 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_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_1100_9' : negation(d['c_0011_9']), 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_9'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0101_3']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_8' : d['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' : 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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : negation(d['c_0101_5']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_4'], '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_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 801/40*c_0110_5^4 + 65*c_0110_5^3 + 1441/40*c_0110_5^2 + 357/40*c_0110_5 + 3293/40, c_0011_0 - 1, c_0011_4 - 1, c_0011_8 + c_0110_5^2 + c_0110_5 - 1, c_0011_9 - 1/2*c_0110_5^4 - c_0110_5^3 - 1/2*c_0110_5^2 - 1/2*c_0110_5 - 1/2, c_0101_0 + 1/2*c_0110_5^4 + c_0110_5^3 + 1/2*c_0110_5^2 + 3/2*c_0110_5 + 1/2, c_0101_1 + 1/2*c_0110_5^4 + c_0110_5^3 - 1/2*c_0110_5^2 - 1/2*c_0110_5 + 1/2, c_0101_3 - 1, c_0101_5 - c_0110_5^3 - c_0110_5^2 + c_0110_5 - 1, c_0101_7 + 1/2*c_0110_5^4 + c_0110_5^3 - 1/2*c_0110_5^2 - 1/2*c_0110_5 + 1/2, c_0110_5^5 + 3*c_0110_5^4 + c_0110_5^3 + 4*c_0110_5 - 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1217/11*c_0110_5^5 - 3496/11*c_0110_5^4 + 2320/11*c_0110_5^3 + 2429/11*c_0110_5^2 - 76*c_0110_5 - 565/11, c_0011_0 - 1, c_0011_4 - c_0110_5^5 + 5*c_0110_5^4 - 8*c_0110_5^3 + 2*c_0110_5^2 + 4*c_0110_5 + 1, c_0011_8 - 2*c_0110_5^5 + 10*c_0110_5^4 - 16*c_0110_5^3 + 4*c_0110_5^2 + 9*c_0110_5 - 1, c_0011_9 - c_0110_5^5 + 4*c_0110_5^4 - 4*c_0110_5^3 - 2*c_0110_5^2 + 3*c_0110_5 + 2, c_0101_0 - c_0110_5^4 + 4*c_0110_5^3 - 5*c_0110_5^2 + c_0110_5 + 2, c_0101_1 - 2*c_0110_5^5 + 10*c_0110_5^4 - 17*c_0110_5^3 + 8*c_0110_5^2 + 5*c_0110_5 - 1, c_0101_3 - c_0110_5^5 + 5*c_0110_5^4 - 8*c_0110_5^3 + 2*c_0110_5^2 + 4*c_0110_5 + 1, c_0101_5 - c_0110_5^5 + 5*c_0110_5^4 - 8*c_0110_5^3 + 3*c_0110_5^2 + 3*c_0110_5 - 1, c_0101_7 - 2*c_0110_5^5 + 10*c_0110_5^4 - 17*c_0110_5^3 + 8*c_0110_5^2 + 5*c_0110_5 - 1, c_0110_5^6 - 5*c_0110_5^5 + 8*c_0110_5^4 - 2*c_0110_5^3 - 5*c_0110_5^2 + c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB