Magma V2.19-8 Tue Aug 20 2013 23:56:54 on localhost [Seed = 1140993211] Type ? for help. Type -D to quit. Loading file "L14n24919__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24919 geometric_solution 11.98502465 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 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 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 0.588990372478 0.629135149467 0 5 6 2 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489199807261 0.657533521885 5 0 1 7 3201 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 -1 1 0 1 0 0 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489199807261 0.657533521885 8 9 8 0 0132 0132 3012 0132 0 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 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 0.541255155211 0.833344886368 10 11 0 11 0132 0132 0132 1230 0 0 1 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 2 1 -3 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 0.541255155211 0.833344886368 8 1 11 2 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 2 -2 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928619653483 0.837229712752 9 7 9 1 3012 3012 1302 0132 0 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 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 0.495903514191 0.987044756010 6 10 2 10 1230 1230 0132 2031 0 0 1 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 1 -1 1 7 0 -8 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495903514191 0.987044756010 3 3 5 11 0132 1230 3201 0132 0 0 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 0 0 0 0 0 2 -2 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 0.506950497797 0.920914119864 6 3 10 6 2031 0132 1230 1230 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 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 0.593580888884 0.808935288599 4 7 7 9 0132 1302 3012 3012 0 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593580888884 0.808935288599 4 4 8 5 3012 0132 0132 0132 0 0 0 1 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 -2 2 0 3 0 -1 -2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506950497797 0.920914119864 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_9']), '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_0101_11'], 'c_0101_10' : d['c_0011_10'], '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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_1001_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0101_11'], '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' : 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' : 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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], '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_5'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_0'], '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_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0011_0'])})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_7, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/109620*c_1001_2 + 5/175392, c_0011_0 - 1, c_0011_10 - 1/3*c_1001_2 + 10/3, c_0011_3 - 1, c_0011_6 - 1/3*c_1001_2 + 7/3, c_0101_0 - c_1001_2 + 12, c_0101_1 - 2*c_1001_2 + 20, c_0101_11 - 1/6*c_1001_2 + 7/6, c_0101_5 - 7, c_0101_7 + 4, c_0101_9 - 10, c_1001_0 - 2*c_1001_2 + 4, c_1001_2^2 - 12*c_1001_2 + 29 ], 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_7, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 61435/12733*c_1001_2^6 - 270693/25466*c_1001_2^5 - 267173/25466*c_1001_2^4 + 51824/12733*c_1001_2^3 + 82487/7276*c_1001_2^2 - 368157/50932*c_1001_2 - 276891/101864, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - 1, c_0011_6 + 4*c_1001_2^6 - 12*c_1001_2^5 + 6*c_1001_2^3 + 4*c_1001_2^2 - 9*c_1001_2 + 3, c_0101_0 + c_1001_2, c_0101_1 - 218/107*c_1001_2^6 + 640/107*c_1001_2^5 + 100/107*c_1001_2^4 - 405/107*c_1001_2^3 - 405/107*c_1001_2^2 + 821/214*c_1001_2 - 291/214, c_0101_11 + 118/107*c_1001_2^6 - 476/107*c_1001_2^5 + 260/107*c_1001_2^4 + 445/107*c_1001_2^3 + 17/107*c_1001_2^2 - 733/214*c_1001_2 + 399/214, c_0101_5 - 74/107*c_1001_2^6 + 284/107*c_1001_2^5 - 76/107*c_1001_2^4 - 377/107*c_1001_2^3 - 163/107*c_1001_2^2 + 369/214*c_1001_2 - 87/214, c_0101_7 + 260/107*c_1001_2^6 - 940/107*c_1001_2^5 + 348/107*c_1001_2^4 + 752/107*c_1001_2^3 + 110/107*c_1001_2^2 - 842/107*c_1001_2 + 416/107, c_0101_9 - 146/107*c_1001_2^6 + 248/107*c_1001_2^5 + 440/107*c_1001_2^4 + 37/107*c_1001_2^3 - 177/107*c_1001_2^2 + 167/214*c_1001_2 + 239/214, c_1001_0 + 218/107*c_1001_2^6 - 640/107*c_1001_2^5 - 100/107*c_1001_2^4 + 405/107*c_1001_2^3 + 405/107*c_1001_2^2 - 821/214*c_1001_2 + 291/214, c_1001_2^7 - 3*c_1001_2^6 + 3/2*c_1001_2^4 + c_1001_2^3 - 9/4*c_1001_2^2 + c_1001_2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB