Magma V2.19-8 Wed Aug 21 2013 01:12:12 on localhost [Seed = 3734552781] Type ? for help. Type -D to quit. Loading file "L14n58729__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58729 geometric_solution 12.54462712 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 0321 1 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 0 0 0 0 0 -1 0 1 -2 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 0.600087820188 0.610946113147 0 4 6 5 0132 0132 0132 0132 2 2 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 2 0 0 -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 0.655664240256 0.808430715244 6 0 7 7 1023 0132 0213 0132 1 2 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 1 -2 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 0.600087820188 0.610946113147 8 0 7 0 0132 0321 0132 0132 1 2 0 2 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 -1 1 0 1 0 0 -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 0.181728790578 0.833077423135 9 1 10 7 0132 0132 0132 1230 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825921954756 0.676441258378 11 8 1 12 0132 2310 0132 0132 2 2 2 0 0 0 0 0 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 -1 0 1 0 0 2 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.100090193518 0.992514601509 8 2 10 1 1230 1023 3012 0132 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655664240256 0.808430715244 4 2 2 3 3012 0213 0132 0132 1 2 2 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 -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 0.750044077135 1.145842854375 3 6 11 5 0132 3012 0132 3201 0 2 2 0 0 -1 1 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 1 -1 0 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356808012660 1.386502592815 4 11 10 11 0132 3120 1302 1302 2 2 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 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 0.753210528505 0.732760858120 9 6 12 4 2031 1230 1230 0132 2 2 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501364047160 0.552956678430 5 9 9 8 0132 3120 2031 0132 0 2 0 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317907551094 0.663573634811 12 12 5 10 1302 2031 0132 3012 2 2 2 2 0 0 0 0 -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 1 -1 0 -2 0 2 0 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006419150489 0.927492133793 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_0'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : d['c_0101_6'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : negation(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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : d['c_1001_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0101_6']), 's_3_1' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_10']), '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(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' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : negation(d['c_0011_12']), 'c_0110_0' : negation(d['c_0011_3']), '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_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : d['c_0011_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_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_3, c_0101_4, c_0101_6, c_0101_7, c_1001_0, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 178395346257/2192806528*c_1001_3^7 - 1846071068329/2192806528*c_1001_3^6 + 6817794606835/2192806528*c_1001_3^5 - 2805074844955/2192806528*c_1001_3^4 - 64534227069/548201632*c_1001_3^3 + 450946534199/199346048*c_1001_3^2 - 33117315284/17131301*c_1001_3 + 519312543621/548201632, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 543/9284*c_1001_3^7 + 5139/9284*c_1001_3^6 - 16057/9284*c_1001_3^5 - 617/844*c_1001_3^4 - 872/2321*c_1001_3^3 - 8351/9284*c_1001_3^2 + 1736/2321*c_1001_3 - 1334/2321, c_0011_12 + 153/9284*c_1001_3^7 - 1033/9284*c_1001_3^6 + 323/9284*c_1001_3^5 + 17137/9284*c_1001_3^4 - 976/2321*c_1001_3^3 - 2655/9284*c_1001_3^2 + 2487/2321*c_1001_3 - 1255/2321, c_0011_3 - c_1001_3 + 1, c_0101_0 - 1, c_0101_3 - c_1001_3^2, c_0101_4 + 543/9284*c_1001_3^7 - 5139/9284*c_1001_3^6 + 16057/9284*c_1001_3^5 + 617/844*c_1001_3^4 + 872/2321*c_1001_3^3 + 8351/9284*c_1001_3^2 - 1736/2321*c_1001_3 + 1334/2321, c_0101_6 - 291/9284*c_1001_3^7 + 3239/9284*c_1001_3^6 - 12993/9284*c_1001_3^5 + 8729/9284*c_1001_3^4 + 2721/2321*c_1001_3^3 + 1773/9284*c_1001_3^2 + 731/2321*c_1001_3 + 248/2321, c_0101_7 - c_1001_3 + 1, c_1001_0 - 1, c_1001_10 + 329/9284*c_1001_3^7 - 3137/9284*c_1001_3^6 + 9791/9284*c_1001_3^5 + 5065/9284*c_1001_3^4 - 168/2321*c_1001_3^3 - 11071/9284*c_1001_3^2 + 3875/2321*c_1001_3 - 3151/2321, c_1001_3^8 - 11*c_1001_3^7 + 45*c_1001_3^6 - 41*c_1001_3^5 + 10*c_1001_3^4 + 29*c_1001_3^3 - 42*c_1001_3^2 + 28*c_1001_3 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB