Magma V2.19-8 Mon Sep 9 2013 20:34:25 on localhost [Seed = 3818903706] Type ? for help. Type -D to quit. Loading file "10_109__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_109 geometric_solution 14.90020860 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633230479685 1.454431699974 0 4 5 2 0132 1023 0132 1023 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 -1 0 1 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184811616151 1.259110539134 6 0 7 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.327703879582 0.316388988322 8 9 5 0 0132 0132 3012 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114115431040 0.777461638463 1 7 0 10 1023 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465234631762 0.515858572085 8 3 11 1 3120 1230 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419934270318 1.132712864089 2 7 10 12 0132 1023 2103 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 -1 1 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 0.400939448041 0.986503165278 6 4 13 2 1023 0132 0132 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 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904122319964 1.159233492775 3 14 9 5 0132 0132 1023 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.483898057686 1.296573108380 14 3 8 11 0132 0132 1023 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 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 -0.170071547619 0.964323221267 6 15 4 11 2103 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291186727120 0.716458880248 9 10 13 5 3012 1302 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533327809601 0.529024018670 15 15 6 13 0321 3201 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311542370068 0.950232261951 12 14 11 7 3120 0213 1023 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486850440542 1.197885373861 9 8 13 15 0132 0132 0213 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.353580539583 0.869977556919 12 10 12 14 0321 0132 2310 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.688457629932 0.950232261951 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_15' : d['c_0011_11'], 'c_1001_14' : negation(d['c_0011_5']), 'c_1001_11' : d['c_0101_13'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_0011_5']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0011_12'], 'c_1010_13' : d['c_1001_10'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0011_11'], 'c_1010_15' : d['c_1001_10'], 'c_1010_14' : d['c_0011_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_5']), 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : negation(d['c_0101_12']), 'c_0101_14' : d['c_0011_11'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_0011_15' : negation(d['c_0011_10']), 'c_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : negation(d['c_0101_13']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_1100_1']), 's_0_15' : d['1'], 'c_1100_15' : d['c_0011_12'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1001_5']), 'c_1100_13' : negation(d['c_1100_1']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_10'], 'c_1100_14' : d['c_1001_10'], 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0011_5']), 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_13'], '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'], 'c_1100_12' : negation(d['c_0101_13']), '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_14']), 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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_14'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : d['c_0011_10'], 'c_0110_15' : negation(d['c_0011_12']), 'c_0110_14' : d['c_0011_12'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_1010_0' : d['c_1001_2'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], '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_0101_0'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_1'], '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_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_13, c_0101_5, c_1001_10, c_1001_2, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2273/94*c_1100_1^5 - 33545/188*c_1100_1^4 - 85977/188*c_1100_1^3 - 19855/47*c_1100_1^2 + 2923/47*c_1100_1 + 41429/188, c_0011_0 - 1, c_0011_10 + c_1100_1^3 + 4*c_1100_1^2 + 3*c_1100_1 - 1, c_0011_11 - c_1100_1^5 - 6*c_1100_1^4 - 12*c_1100_1^3 - 9*c_1100_1^2 + 1, c_0011_12 + c_1100_1^5 + 7*c_1100_1^4 + 17*c_1100_1^3 + 17*c_1100_1^2 + 6*c_1100_1 + 1, c_0011_14 - c_1100_1^5 - 7*c_1100_1^4 - 17*c_1100_1^3 - 16*c_1100_1^2 - 3*c_1100_1, c_0011_5 + c_1100_1^5 + 6*c_1100_1^4 + 12*c_1100_1^3 + 9*c_1100_1^2, c_0101_0 - 2*c_1100_1^5 - 13*c_1100_1^4 - 28*c_1100_1^3 - 21*c_1100_1^2 - c_1100_1 - 1, c_0101_1 + c_1100_1^5 + 7*c_1100_1^4 + 17*c_1100_1^3 + 16*c_1100_1^2 + 4*c_1100_1 + 1, c_0101_10 - c_1100_1^5 - 7*c_1100_1^4 - 16*c_1100_1^3 - 12*c_1100_1^2 - 1, c_0101_12 + 2*c_1100_1^5 + 13*c_1100_1^4 + 29*c_1100_1^3 + 26*c_1100_1^2 + 7*c_1100_1 + 2, c_0101_13 - 3*c_1100_1^5 - 19*c_1100_1^4 - 40*c_1100_1^3 - 30*c_1100_1^2 - c_1100_1 - 1, c_0101_5 - c_1100_1^4 - 5*c_1100_1^3 - 6*c_1100_1^2 + c_1100_1, c_1001_10 + c_1100_1^3 + 4*c_1100_1^2 + 4*c_1100_1, c_1001_2 + 2*c_1100_1^5 + 13*c_1100_1^4 + 29*c_1100_1^3 + 25*c_1100_1^2 + 5*c_1100_1 + 2, c_1001_5 - 3*c_1100_1^5 - 20*c_1100_1^4 - 45*c_1100_1^3 - 37*c_1100_1^2 - 4*c_1100_1 - 2, c_1100_1^6 + 8*c_1100_1^5 + 24*c_1100_1^4 + 33*c_1100_1^3 + 19*c_1100_1^2 + 3*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 256.370 Total time: 256.579 seconds, Total memory usage: 2203.00MB