Magma V2.19-8 Wed Aug 21 2013 01:07:30 on localhost [Seed = 2101044332] Type ? for help. Type -D to quit. Loading file "L14n33321__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33321 geometric_solution 11.95398358 oriented_manifold CS_known 0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 0 0 0 0 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 -1 0 1 0 0 -1 1 -3 2 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.030799587645 1.031862524254 0 5 4 3 0132 0132 0132 0132 0 1 0 0 0 0 0 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 1 -1 0 0 0 0 0 3 -2 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194673064296 0.856348241921 6 0 7 6 0132 0132 0132 1023 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 1 -1 0 0 0 0 0 3 -3 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202649123654 0.453914142435 8 5 1 0 0132 1230 0132 0132 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 0 0 0 0 -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 -0.210165369170 0.921899347073 7 9 0 1 2310 0132 0132 0132 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 0 0 -1 1 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 -0.034094424282 1.166063060687 10 1 3 8 0132 0132 3012 3201 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -3 3 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658538835283 0.721718439901 2 10 9 2 0132 0132 3201 1023 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 0 0 0 0 0 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 0.969074285662 1.062580664319 11 11 4 2 0132 1302 3201 0132 0 0 0 1 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 0 0 2 0 0 -2 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.085946517489 1.270165670454 3 5 12 12 0132 2310 0132 3120 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 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 0.552039392387 0.794914908565 6 4 12 10 2310 0132 2310 1302 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 -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 0.458405945472 0.822824911100 5 6 9 11 0132 0132 2031 0132 0 0 0 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 0 0 2 0 0 -2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.319678653275 0.867504725887 7 12 10 7 0132 0213 0132 2031 0 0 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 0 0 2 1 0 -3 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388865665416 0.454832545320 8 9 11 8 3120 3201 0213 0132 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 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 0.538053063928 0.954785744206 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0101_6'], 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], '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_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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : negation(d['c_1001_2']), 'c_1100_10' : negation(d['c_1001_2']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_11']), '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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], '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' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_6']), 'c_0110_8' : d['c_0101_0'], '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_6'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0101_9, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 198317/319*c_1001_2*c_1100_0^4 + 89810/319*c_1001_2*c_1100_0^3 - 360792/319*c_1001_2*c_1100_0^2 + 29916/319*c_1001_2*c_1100_0 + 417777/319*c_1001_2 + 502470/319*c_1100_0^4 + 245913/319*c_1100_0^3 - 887187/319*c_1100_0^2 + 2051/11*c_1100_0 + 1027583/319, c_0011_0 - 1, c_0011_11 + c_1100_0^4 - c_1100_0^2 + 1, c_0011_12 - c_1001_2 + c_1100_0^2 - 1, c_0011_3 + c_1001_2*c_1100_0^3 + c_1001_2*c_1100_0^2 - c_1001_2*c_1100_0 - c_1001_2 + c_1100_0 + 1, c_0011_4 + c_1001_2*c_1100_0^4 - 3*c_1001_2*c_1100_0^2 + 3*c_1001_2 + c_1100_0^2 - 2, c_0101_0 - 1, c_0101_1 - c_1001_2*c_1100_0^4 + 2*c_1001_2*c_1100_0^2 - c_1001_2 - c_1100_0^3, c_0101_11 + c_1001_2*c_1100_0^4 - 2*c_1001_2*c_1100_0^2 + c_1001_2 + c_1100_0^2 - 1, c_0101_6 + c_1001_2*c_1100_0^3 - c_1001_2*c_1100_0 - c_1100_0^4 + c_1100_0^2, c_0101_9 + c_1001_2*c_1100_0^2 - c_1001_2 + 1, c_1001_1 - c_1001_2*c_1100_0^4 - c_1001_2*c_1100_0^3 + c_1001_2*c_1100_0^2 - 2*c_1001_2 + c_1100_0^4 + c_1100_0^3 - c_1100_0^2 - c_1100_0 + 1, c_1001_2^2 + 2*c_1001_2*c_1100_0^4 - c_1001_2*c_1100_0^3 - 3*c_1001_2*c_1100_0^2 + c_1001_2*c_1100_0 + 2*c_1001_2 - c_1100_0^3 + 2*c_1100_0^2 - 2, c_1100_0^5 - 2*c_1100_0^3 + c_1100_0^2 + 2*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.440 Total time: 0.640 seconds, Total memory usage: 32.09MB