Magma V2.19-8 Wed Aug 21 2013 01:11:24 on localhost [Seed = 1157848194] Type ? for help. Type -D to quit. Loading file "L14n56983__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56983 geometric_solution 11.61037510 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 2 0 0 0 1 -1 0 0 0 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 -1 1 0 0 0 0 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336977341603 0.972144843481 0 5 7 6 0132 0132 0132 0132 2 1 0 2 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 2 -2 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 0.681928998204 0.640859425714 8 0 10 9 0132 0132 0132 0132 1 2 0 2 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621390241865 1.251996539444 10 8 7 0 2031 0132 1302 0132 1 1 0 2 0 1 0 -1 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 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 0 0 0 0.478832663277 0.702079632725 11 9 0 12 0132 0132 0132 0132 1 1 0 2 0 0 1 -1 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 1 -1 0 1 0 0 -1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023598302021 0.833941405416 11 1 12 6 2103 0132 2103 2103 2 1 2 0 0 -1 0 1 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 -2 0 2 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 1.221300417821 0.731801944709 10 9 1 5 1023 1023 0132 2103 2 1 2 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 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621390241865 1.251996539444 3 9 12 1 2031 2310 2031 0132 2 1 2 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 0 0 0 -3 1 2 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 0.621390241865 1.251996539444 2 3 12 11 0132 0132 0213 1023 1 2 2 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 1 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 0.681928998204 0.640859425714 6 4 2 7 1023 0132 0132 3201 1 2 2 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 0 0 -1 0 1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.393213565127 0.878888864843 11 6 3 2 1023 1023 1302 0132 1 2 2 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 0 0 0 0 0 0 0 0 0 0 -2 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194419763016 0.422227936762 4 10 5 8 0132 1023 2103 1023 2 1 2 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 -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 1.681682231281 0.918313901985 5 8 4 7 2103 0213 0132 1302 1 1 2 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558277759424 1.703946788190 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_0101_0'], 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0110_12'], 'c_1001_7' : negation(d['c_0110_12']), 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : negation(d['c_0110_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_12'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0110_5'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0110_12'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_2_12' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0110_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_12']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_7']), 'c_1100_11' : negation(d['c_0110_5']), 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_9']), 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : negation(d['c_0110_9']), '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_0011_12'], 'c_1010_0' : d['c_0110_12'], 'c_1010_9' : d['c_0110_12'], 'c_1010_8' : d['c_0101_1'], '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' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_7'], '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_10'], 'c_0011_8' : d['c_0011_0'], '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' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], '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_12'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_12']})} 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_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0110_12, c_0110_5, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 6127670/247*c_1001_0^6 + 9283306/247*c_1001_0^5 - 232100/13*c_1001_0^4 - 33361233/494*c_1001_0^3 - 7065819/247*c_1001_0^2 + 9503131/494*c_1001_0 + 6832715/494, c_0011_0 - 1, c_0011_10 - 15*c_1001_0^6 - 2*c_1001_0^5 + 20*c_1001_0^4 + 13*c_1001_0^3 - 9*c_1001_0^2 - 4*c_1001_0 + 1, c_0011_12 - 5*c_1001_0^6 + 6*c_1001_0^5 + 17*c_1001_0^4 - 7*c_1001_0^3 - 21*c_1001_0^2 - c_1001_0 + 9, c_0011_7 + 10*c_1001_0^5 + 8*c_1001_0^4 - 18*c_1001_0^3 - 17*c_1001_0^2 + 7*c_1001_0 + 7, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 5*c_1001_0^5 - c_1001_0^4 - 8*c_1001_0^3 - 3*c_1001_0^2 + 4*c_1001_0 + 1, c_0101_2 + 20*c_1001_0^6 + c_1001_0^5 - 33*c_1001_0^4 - 15*c_1001_0^3 + 19*c_1001_0^2 + 9*c_1001_0 - 4, c_0101_7 + 10*c_1001_0^6 + 8*c_1001_0^5 - 18*c_1001_0^4 - 17*c_1001_0^3 + 7*c_1001_0^2 + 7*c_1001_0 - 1, c_0110_12 - 10*c_1001_0^6 - 8*c_1001_0^5 + 18*c_1001_0^4 + 17*c_1001_0^3 - 7*c_1001_0^2 - 8*c_1001_0 + 1, c_0110_5 + 10*c_1001_0^6 + 3*c_1001_0^5 - 12*c_1001_0^4 - 10*c_1001_0^3 + 2*c_1001_0^2 + 3*c_1001_0 + 1, c_0110_9 + 5*c_1001_0^6 + 9*c_1001_0^5 + 5*c_1001_0^4 - 17*c_1001_0^3 - 19*c_1001_0^2 + 2*c_1001_0 + 10, c_1001_0^7 + 4/5*c_1001_0^6 - 9/5*c_1001_0^5 - 11/5*c_1001_0^4 + 4/5*c_1001_0^3 + 8/5*c_1001_0^2 - 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB