Magma V2.19-8 Tue Aug 20 2013 23:52:48 on localhost [Seed = 3170555763] Type ? for help. Type -D to quit. Loading file "L13n3919__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3919 geometric_solution 10.98477711 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 1 0 -1 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 2 1 0 0 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664116728534 1.043425044784 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 -1 0 0 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 0.656082895367 0.722952700667 6 0 7 8 0132 0132 3012 0132 0 1 0 1 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 0 0 0 0 0 1 -1 0 -1 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 0.871189300882 0.915540869638 7 4 9 0 0132 2103 0132 0132 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 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 -0.229600456656 0.989426737048 10 3 0 11 0132 2103 0132 0132 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 0 0 0 0 1 -2 1 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279540861477 0.868396733879 11 1 10 6 0213 0132 0213 1023 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577092163061 0.310443506062 2 10 1 5 0132 0213 0132 1023 1 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.577092163061 0.310443506062 3 2 8 1 0132 1230 2103 0132 1 1 1 0 0 -1 1 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 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 0.295231667848 1.155570392137 7 11 2 9 2103 3120 0132 0321 0 1 1 0 0 0 0 0 1 0 0 -1 -1 0 0 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 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.025940149118 0.696755993714 10 8 11 3 3120 0321 0132 0132 0 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295231667848 1.155570392137 4 5 6 9 0132 0213 0213 3120 1 1 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 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311636557766 0.758523371235 5 8 4 9 0213 3120 0132 0132 0 1 1 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 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 0.454547331824 0.573221238671 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_0']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_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_0011_0'], 'c_0101_10' : d['c_0011_0'], '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_1100_8' : negation(d['c_0011_8']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], '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_9'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], '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_0101_1'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_9, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3618490/10269*c_1100_0^7 + 4883273/3423*c_1100_0^6 - 28526135/20538*c_1100_0^5 + 10701287/10269*c_1100_0^4 + 35314115/20538*c_1100_0^3 - 36742777/20538*c_1100_0^2 + 3345577/6846*c_1100_0 - 1269052/10269, c_0011_0 - 1, c_0011_10 + 848/1141*c_1100_0^7 - 2452/1141*c_1100_0^6 - 374/1141*c_1100_0^5 + 313/1141*c_1100_0^4 - 5721/1141*c_1100_0^3 - 1389/1141*c_1100_0^2 + 2234/1141*c_1100_0 + 85/1141, c_0011_3 - c_1100_0, c_0011_8 + 716/10269*c_1100_0^7 - 482/3423*c_1100_0^6 - 2953/10269*c_1100_0^5 - 613/10269*c_1100_0^4 + 2656/10269*c_1100_0^3 - 7895/10269*c_1100_0^2 + 505/1141*c_1100_0 + 6428/10269, c_0011_9 + 4064/4401*c_1100_0^7 - 4364/1467*c_1100_0^6 + 1646/4401*c_1100_0^5 + 2069/4401*c_1100_0^4 - 25640/4401*c_1100_0^3 + 3886/4401*c_1100_0^2 + 1831/489*c_1100_0 + 1982/4401, c_0101_0 + 848/1141*c_1100_0^7 - 2452/1141*c_1100_0^6 - 374/1141*c_1100_0^5 + 313/1141*c_1100_0^4 - 5721/1141*c_1100_0^3 - 1389/1141*c_1100_0^2 + 2234/1141*c_1100_0 + 85/1141, c_0101_1 - 1, c_0101_2 + 48464/30807*c_1100_0^7 - 57332/10269*c_1100_0^6 + 97634/30807*c_1100_0^5 - 69775/30807*c_1100_0^4 - 275960/30807*c_1100_0^3 + 82381/30807*c_1100_0^2 + 11464/3423*c_1100_0 - 28102/30807, c_0101_9 + 48464/30807*c_1100_0^7 - 57332/10269*c_1100_0^6 + 97634/30807*c_1100_0^5 - 69775/30807*c_1100_0^4 - 275960/30807*c_1100_0^3 + 82381/30807*c_1100_0^2 + 11464/3423*c_1100_0 - 28102/30807, c_1001_0 + 516/1141*c_1100_0^7 - 1858/1141*c_1100_0^6 + 1161/1141*c_1100_0^5 - 633/1141*c_1100_0^4 - 2873/1141*c_1100_0^3 + 538/1141*c_1100_0^2 + 1650/1141*c_1100_0 - 212/1141, c_1001_10 - 11408/10269*c_1100_0^7 + 13952/3423*c_1100_0^6 - 21104/10269*c_1100_0^5 - 2510/10269*c_1100_0^4 + 70010/10269*c_1100_0^3 - 36448/10269*c_1100_0^2 - 4808/1141*c_1100_0 + 4174/10269, c_1100_0^8 - 7/2*c_1100_0^7 + 7/4*c_1100_0^6 - c_1100_0^5 - 6*c_1100_0^4 + 7/4*c_1100_0^3 + 2*c_1100_0^2 - 1/2*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB