Magma V2.19-8 Wed Aug 21 2013 00:57:46 on localhost [Seed = 2496826926] Type ? for help. Type -D to quit. Loading file "L13n4444__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4444 geometric_solution 11.61572342 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 1 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 -0.038731237451 0.677049211155 0 5 4 2 0132 0132 3201 2103 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.507493545591 1.713730918521 6 0 7 1 0132 0132 0132 2103 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689528063556 0.459678723735 8 9 8 0 0132 0132 3012 0132 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 0 0 0 0 0 0 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 0.220607886948 1.610220261273 1 6 0 8 2310 0213 0132 3012 1 1 1 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 -2 2 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 -0.119192770557 0.545370118665 7 1 9 10 0132 0132 3120 0132 1 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 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 0.458961539876 0.570244405740 2 7 4 11 0132 0132 0213 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 0.674486649685 0.583154528573 5 6 12 2 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 -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 1.256760960327 0.864488432891 3 3 4 10 0132 1230 1230 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243540144515 0.503152737324 11 3 5 11 1023 0132 3120 3120 1 1 0 1 0 0 0 0 -1 0 0 1 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 2 0 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337178476374 0.933258071895 12 8 5 12 0132 0321 0132 2031 1 1 0 1 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915661879065 1.087965106838 9 9 6 12 3120 1023 0132 0132 1 1 0 1 0 1 -1 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 0 0 0 -2 2 0 2 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 0.657568610248 0.947797326783 10 10 11 7 0132 1302 0132 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 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 0.547173864830 0.538035977902 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(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_0101_1']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_8']), 'c_1100_3' : negation(d['c_1001_8']), 'c_1100_2' : negation(d['c_0101_0']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : negation(d['c_0101_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_0']), '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_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), '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'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_10']), '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_10'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], '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_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_9, c_1001_0, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 701/385*c_1001_8^5 + 427/55*c_1001_8^4 - 3169/385*c_1001_8^3 + 3314/385*c_1001_8^2 - 3772/385*c_1001_8 + 853/385, c_0011_0 - 1, c_0011_10 - 1/7*c_1001_8^5 + c_1001_8^4 - 19/7*c_1001_8^3 + 24/7*c_1001_8^2 - 13/7*c_1001_8 + 6/7, c_0011_11 + 1, c_0011_4 - 2/7*c_1001_8^5 + 2*c_1001_8^4 - 31/7*c_1001_8^3 + 27/7*c_1001_8^2 - 19/7*c_1001_8 + 19/7, c_0101_0 - 2/7*c_1001_8^5 + 2*c_1001_8^4 - 31/7*c_1001_8^3 + 27/7*c_1001_8^2 - 26/7*c_1001_8 + 19/7, c_0101_1 - 1/7*c_1001_8^5 + c_1001_8^4 - 19/7*c_1001_8^3 + 24/7*c_1001_8^2 - 20/7*c_1001_8 + 13/7, c_0101_10 - c_1001_8^2 + c_1001_8, c_0101_11 + 4/7*c_1001_8^5 - 3*c_1001_8^4 + 34/7*c_1001_8^3 - 33/7*c_1001_8^2 + 24/7*c_1001_8 - 10/7, c_0101_12 + 4/7*c_1001_8^5 - 3*c_1001_8^4 + 34/7*c_1001_8^3 - 33/7*c_1001_8^2 + 31/7*c_1001_8 - 10/7, c_0101_9 - 4/7*c_1001_8^5 + 3*c_1001_8^4 - 34/7*c_1001_8^3 + 26/7*c_1001_8^2 - 24/7*c_1001_8 + 17/7, c_1001_0 - 3/7*c_1001_8^5 + 3*c_1001_8^4 - 50/7*c_1001_8^3 + 51/7*c_1001_8^2 - 39/7*c_1001_8 + 32/7, c_1001_2 - 1/7*c_1001_8^5 + c_1001_8^4 - 19/7*c_1001_8^3 + 24/7*c_1001_8^2 - 20/7*c_1001_8 + 20/7, c_1001_8^6 - 6*c_1001_8^5 + 12*c_1001_8^4 - 12*c_1001_8^3 + 10*c_1001_8^2 - 7*c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.500 seconds, Total memory usage: 32.09MB