Magma V2.19-8 Tue Aug 20 2013 23:50:53 on localhost [Seed = 525956140] Type ? for help. Type -D to quit. Loading file "L13a1349__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a1349 geometric_solution 9.91277423 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 1 1 1 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 -1 0 1 1 0 0 -1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504016044504 0.846957184069 0 0 5 4 0132 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 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 -1 0 -15 16 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514860515292 0.879191367762 4 0 5 4 0132 0132 2103 2031 1 1 0 1 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 1 0 -1 0 0 0 0 0 -1 0 1 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481127945377 0.871921477633 4 6 0 7 3012 0132 0132 0132 1 1 1 1 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 1 -1 -16 16 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471237036665 0.839011578128 2 2 1 3 0132 1302 0132 1230 1 1 1 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 0 0 0 0 0 -16 16 15 1 0 -16 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514860515292 0.879191367762 2 7 8 1 2103 1302 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 0 0 0 -15 15 0 0 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491107335052 0.906055349422 9 3 8 7 0132 0132 0213 0321 1 1 1 1 0 0 0 0 -1 0 1 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 -1 1 0 15 0 -15 0 0 16 0 -16 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957558895887 0.600626178604 8 6 3 5 2031 0321 0132 2031 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.558473018486 0.961285938735 9 6 7 5 2103 0213 1302 0132 1 1 1 1 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 -1 1 0 -15 0 0 15 0 15 0 -15 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.117061775305 1.656657342706 6 10 8 10 0132 0132 2103 2310 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.138078848510 0.283644626687 9 9 11 11 3201 0132 0132 3201 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 0.558629292323 0.296650438971 11 10 11 10 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.220110523548 0.303865803359 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0110_7'], 'c_1001_6' : d['c_0110_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0110_7'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : negation(d['c_0011_8']), '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' : 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' : d['1'], 's_0_5' : negation(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_11'], 'c_1100_8' : d['c_0101_7'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : d['c_0110_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0110_7'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : d['c_0110_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : 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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], '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_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_7, c_0110_10, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5518262272/751113*c_1001_1^7 + 37961629696/751113*c_1001_1^6 + 28314779648/250371*c_1001_1^5 + 107576909824/751113*c_1001_1^4 + 83657875456/751113*c_1001_1^3 + 38324156416/751113*c_1001_1^2 + 9260741632/751113*c_1001_1 + 268291072/751113, c_0011_0 - 1, c_0011_10 - c_1001_1, c_0011_11 + 64*c_1001_1^7 + 224*c_1001_1^6 + 384*c_1001_1^5 + 408*c_1001_1^4 + 280*c_1001_1^3 + 124*c_1001_1^2 + 32*c_1001_1 + 7/2, c_0011_5 + c_1001_1 + 1, c_0011_7 - 4*c_1001_1^3 - 8*c_1001_1^2 - 7*c_1001_1 - 2, c_0011_8 - 8*c_1001_1^4 - 16*c_1001_1^3 - 16*c_1001_1^2 - 8*c_1001_1 - 2, c_0101_0 + 1, c_0101_1 - 1, c_0101_7 + c_1001_1 + 1, c_0110_10 - 16*c_1001_1^5 - 32*c_1001_1^4 - 36*c_1001_1^3 - 24*c_1001_1^2 - 9*c_1001_1 - 2, c_0110_7 - 2*c_1001_1^2 - 2*c_1001_1 - 1, c_1001_1^8 + 7/2*c_1001_1^7 + 25/4*c_1001_1^6 + 7*c_1001_1^5 + 83/16*c_1001_1^4 + 41/16*c_1001_1^3 + 25/32*c_1001_1^2 + 1/8*c_1001_1 + 1/256 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_7, c_0110_10, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 955689731/3432*c_1001_1^8 - 7810069739/6864*c_1001_1^7 - 32346859211/13728*c_1001_1^6 - 816915571/264*c_1001_1^5 - 150445242457/54912*c_1001_1^4 - 7008222745/4224*c_1001_1^3 - 2180696675/3328*c_1001_1^2 - 4147413991/27456*c_1001_1 - 12598805795/878592, c_0011_0 - 1, c_0011_10 - c_1001_1, c_0011_11 - 128*c_1001_1^8 - 512*c_1001_1^7 - 1024*c_1001_1^6 - 1280*c_1001_1^5 - 1072*c_1001_1^4 - 608*c_1001_1^3 - 224*c_1001_1^2 - 48*c_1001_1 - 4, c_0011_5 - c_1001_1 - 1, c_0011_7 - 4*c_1001_1^3 - 8*c_1001_1^2 - 7*c_1001_1 - 2, c_0011_8 + 8*c_1001_1^4 + 16*c_1001_1^3 + 16*c_1001_1^2 + 8*c_1001_1 + 2, c_0101_0 - 1, c_0101_1 - 1, c_0101_7 - c_1001_1 - 1, c_0110_10 - 16*c_1001_1^5 - 32*c_1001_1^4 - 36*c_1001_1^3 - 24*c_1001_1^2 - 9*c_1001_1 - 2, c_0110_7 - 2*c_1001_1^2 - 2*c_1001_1 - 1, c_1001_1^9 + 9/2*c_1001_1^8 + 41/4*c_1001_1^7 + 15*c_1001_1^6 + 243/16*c_1001_1^5 + 175/16*c_1001_1^4 + 177/32*c_1001_1^3 + 15/8*c_1001_1^2 + 97/256*c_1001_1 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB