Magma V2.19-8 Tue Aug 20 2013 23:52:10 on localhost [Seed = 223045180] Type ? for help. Type -D to quit. Loading file "L13n130__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n130 geometric_solution 11.00260872 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 0321 0132 0 1 1 1 0 2 -3 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 -2 1 1 0 -1 0 0 1 0 -1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605992602853 1.079963742424 0 4 6 5 0132 0132 0132 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 -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 0.339784111925 0.556559164356 7 0 0 4 0132 0132 0321 1302 0 1 1 1 0 -2 3 -1 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 -1 2 -1 1 0 8 -9 8 -8 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605992602853 1.079963742424 7 4 0 4 1230 1302 0132 1230 0 1 1 1 0 0 -1 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 -1 1 0 0 0 0 -9 0 0 9 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298137314617 0.817186409142 3 1 2 3 3012 0132 2031 2031 1 0 1 1 0 0 0 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 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605992602853 1.079963742424 7 8 1 9 3201 0132 0132 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287839037150 1.119593617268 10 7 9 1 0132 3201 0132 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 1 -1 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 0.287839037150 1.119593617268 2 3 6 5 0132 3012 2310 2310 1 1 1 1 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 1 0 0 0 0 0 -8 9 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339784111925 0.556559164356 11 5 10 9 0132 0132 1230 0321 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 -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 0.765719081366 0.695098436194 10 8 5 6 2103 0321 0132 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 -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 -0.996227329180 0.569608919639 6 11 9 8 0132 3201 2103 3012 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 -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 0.765719081366 0.695098436194 8 11 10 11 0132 2310 2310 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 0.869849006094 0.562471774498 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_6'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0101_4'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0101_8'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0101_7, c_0101_8, c_0110_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 796747622878657123328/22536387187117765*c_1100_1^13 + 739551103046980501504/22536387187117765*c_1100_1^12 - 212505147886596645376/4507277437423553*c_1100_1^11 + 886538040503865950208/22536387187117765*c_1100_1^10 - 261629897673934730048/4507277437423553*c_1100_1^9 + 479458059540499732736/22536387187117765*c_1100_1^8 - 460208999763693060704/22536387187117765*c_1100_1^7 + 13873091640043703040/4507277437423553*c_1100_1^6 - 119564442105761954104/22536387187117765*c_1100_1^5 - 40609794913447634032/22536387187117765*c_1100_1^4 - 23156340706159655004/22536387187117765*c_1100_1^3 - 1991181315701313316/4507277437423553*c_1100_1^2 - 7505082364685716933/90145548748471060*c_1100_1 + 1744657726318388411/22536387187117765, c_0011_0 - 1, c_0011_10 + c_1100_1, c_0011_3 - 22027264/165805*c_1100_1^13 + 11770624/165805*c_1100_1^12 - 14370944/165805*c_1100_1^11 + 1340352/33161*c_1100_1^10 - 19595616/165805*c_1100_1^9 - 6530768/165805*c_1100_1^8 + 1239888/165805*c_1100_1^7 - 4694784/165805*c_1100_1^6 - 1915306/165805*c_1100_1^5 - 1861254/165805*c_1100_1^4 - 870362/165805*c_1100_1^3 + 708609/663220*c_1100_1^2 - 74349/132644*c_1100_1 - 151878/165805, c_0011_9 + 47082496/165805*c_1100_1^13 - 13429248/165805*c_1100_1^12 + 5361408/33161*c_1100_1^11 - 6793856/165805*c_1100_1^10 + 7991744/33161*c_1100_1^9 + 24233408/165805*c_1100_1^8 + 3248128/165805*c_1100_1^7 + 2184856/33161*c_1100_1^6 + 7698728/165805*c_1100_1^5 + 5811304/165805*c_1100_1^4 + 3806193/165805*c_1100_1^3 + 138972/33161*c_1100_1^2 + 830104/165805*c_1100_1 + 337893/165805, c_0101_0 - 22027264/165805*c_1100_1^13 + 11770624/165805*c_1100_1^12 - 14370944/165805*c_1100_1^11 + 1340352/33161*c_1100_1^10 - 19595616/165805*c_1100_1^9 - 6530768/165805*c_1100_1^8 + 1239888/165805*c_1100_1^7 - 4694784/165805*c_1100_1^6 - 1915306/165805*c_1100_1^5 - 1861254/165805*c_1100_1^4 - 870362/165805*c_1100_1^3 + 708609/663220*c_1100_1^2 - 74349/132644*c_1100_1 - 151878/165805, c_0101_1 - 40054272/165805*c_1100_1^13 + 37468672/165805*c_1100_1^12 - 40645632/165805*c_1100_1^11 + 5997632/33161*c_1100_1^10 - 50381088/165805*c_1100_1^9 + 9314656/165805*c_1100_1^8 - 2697576/165805*c_1100_1^7 - 5699812/165805*c_1100_1^6 - 2158278/165805*c_1100_1^5 - 3925807/165805*c_1100_1^4 + 77839/165805*c_1100_1^3 - 462773/663220*c_1100_1^2 - 248039/132644*c_1100_1 - 60684/165805, c_0101_4 - 1, c_0101_6 - 45568512/165805*c_1100_1^13 + 18485248/165805*c_1100_1^12 - 27774464/165805*c_1100_1^11 + 10098688/165805*c_1100_1^10 - 39574976/165805*c_1100_1^9 - 18647472/165805*c_1100_1^8 - 384176/165805*c_1100_1^7 - 10156924/165805*c_1100_1^6 - 1152934/33161*c_1100_1^5 - 4766906/165805*c_1100_1^4 - 5546917/331610*c_1100_1^3 - 1344331/663220*c_1100_1^2 - 2031953/663220*c_1100_1 - 237922/165805, c_0101_7 + 40054272/165805*c_1100_1^13 - 37468672/165805*c_1100_1^12 + 40645632/165805*c_1100_1^11 - 5997632/33161*c_1100_1^10 + 50381088/165805*c_1100_1^9 - 9314656/165805*c_1100_1^8 + 2697576/165805*c_1100_1^7 + 5699812/165805*c_1100_1^6 + 2158278/165805*c_1100_1^5 + 3925807/165805*c_1100_1^4 - 77839/165805*c_1100_1^3 + 462773/663220*c_1100_1^2 + 248039/132644*c_1100_1 + 60684/165805, c_0101_8 + 81101824/165805*c_1100_1^13 - 26541568/165805*c_1100_1^12 + 46797312/165805*c_1100_1^11 - 12918912/165805*c_1100_1^10 + 67834368/165805*c_1100_1^9 + 8020320/33161*c_1100_1^8 + 1997952/165805*c_1100_1^7 + 19641632/165805*c_1100_1^6 + 10803004/165805*c_1100_1^5 + 1959736/33161*c_1100_1^4 + 5392117/165805*c_1100_1^3 + 1681899/331610*c_1100_1^2 + 892698/165805*c_1100_1 + 81013/33161, c_0110_4 - 9230336/33161*c_1100_1^13 + 8196096/33161*c_1100_1^12 - 9466880/33161*c_1100_1^11 + 7750656/33161*c_1100_1^10 - 12087680/33161*c_1100_1^9 + 2452480/33161*c_1100_1^8 - 1397376/33161*c_1100_1^7 - 529024/33161*c_1100_1^6 - 359264/33161*c_1100_1^5 - 946896/33161*c_1100_1^4 + 44400/33161*c_1100_1^3 - 3168/33161*c_1100_1^2 - 49073/66322*c_1100_1 - 4377/33161, c_1100_1^14 + 1/2*c_1100_1^12 + 13/16*c_1100_1^10 + 3/4*c_1100_1^9 + 7/32*c_1100_1^8 + 1/4*c_1100_1^7 + 27/128*c_1100_1^6 + 11/64*c_1100_1^5 + 27/256*c_1100_1^4 + 9/256*c_1100_1^3 + 65/4096*c_1100_1^2 + 9/1024*c_1100_1 + 1/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB