Magma V2.19-8 Wed Aug 21 2013 00:01:46 on localhost [Seed = 964644997] Type ? for help. Type -D to quit. Loading file "L14n57021__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57021 geometric_solution 10.83586591 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 1 0 1 2310 0132 3201 2310 2 2 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 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.770630092320 0.473830701975 0 0 3 2 3201 0132 0132 0132 2 2 2 2 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 5 1 -6 0 0 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551477185898 1.090391567229 4 3 1 5 0132 2031 0132 0132 2 2 1 2 0 1 -1 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 2 1 0 -3 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620576391655 0.500630272021 2 6 7 1 1302 0132 0132 0132 2 2 2 1 0 0 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 0 0 0 0 0 0 1 -1 -5 0 5 0 6 -6 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620576391655 0.500630272021 2 5 8 6 0132 2103 0132 1302 0 2 2 1 0 0 -1 1 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 -1 2 -1 0 0 -6 6 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593942170614 0.699368050465 9 4 2 10 0132 2103 0132 0132 2 2 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 0 0 0 0 0 0 0 0 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832385464295 1.355424307992 7 3 4 9 0321 0132 2031 0321 2 0 1 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 0 0 0 -1 0 1 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593942170614 0.699368050465 6 8 11 3 0321 3120 0132 0132 2 2 1 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 1 -1 0 0 5 -5 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832385464295 1.355424307992 9 7 11 4 3120 3120 2103 0132 0 2 1 2 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 1 1 -2 -1 0 -5 6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119167198601 1.090660838967 5 6 10 8 0132 0321 0213 3120 2 2 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 -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 0.448168029289 0.554928606254 11 9 5 11 1302 0213 0132 0132 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.448168029289 0.554928606254 8 10 10 7 2103 2031 0132 0132 2 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 0 -1 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448168029289 0.554928606254 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : 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' : 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' : negation(d['1']), 's_0_7' : negation(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' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_1001_10']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_2'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_5']})} 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_2, c_0011_5, c_0011_8, c_0101_0, c_0101_11, c_0101_2, c_0101_4, c_0101_6, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1177161205/24143728*c_1100_1^10 - 300518117/24143728*c_1100_1^9 + 31926267/431138*c_1100_1^8 - 3580578045/6035932*c_1100_1^7 - 2736707487/24143728*c_1100_1^6 + 12689125821/24143728*c_1100_1^5 - 55064909901/24143728*c_1100_1^4 + 31591990847/24143728*c_1100_1^3 + 74086866389/12071864*c_1100_1^2 + 2920874079/862276*c_1100_1 + 5017563323/3017966, c_0011_0 - 1, c_0011_10 - 76863/3449104*c_1100_1^10 - 8277/431138*c_1100_1^9 + 257895/3449104*c_1100_1^8 - 74070/215569*c_1100_1^7 - 327501/3449104*c_1100_1^6 + 430349/862276*c_1100_1^5 - 2656635/1724552*c_1100_1^4 + 372207/431138*c_1100_1^3 + 10693309/3449104*c_1100_1^2 + 2267393/1724552*c_1100_1 + 163177/431138, c_0011_2 - 1, c_0011_5 - 1, c_0011_8 - 10847/862276*c_1100_1^10 + 121/862276*c_1100_1^9 - 2098/215569*c_1100_1^8 - 44625/431138*c_1100_1^7 - 25957/862276*c_1100_1^6 - 140829/862276*c_1100_1^5 - 51801/862276*c_1100_1^4 + 4091/862276*c_1100_1^3 + 94999/215569*c_1100_1^2 + 530706/215569*c_1100_1 + 218417/215569, c_0101_0 + 28825/862276*c_1100_1^10 - 28113/431138*c_1100_1^9 + 18195/215569*c_1100_1^8 + 199037/862276*c_1100_1^7 - 418203/862276*c_1100_1^6 + 157608/215569*c_1100_1^5 - 81867/862276*c_1100_1^4 - 954987/862276*c_1100_1^3 - 465733/431138*c_1100_1^2 - 631907/862276*c_1100_1 + 244671/431138, c_0101_11 - 113061/1724552*c_1100_1^10 + 10559/215569*c_1100_1^9 + 47291/1724552*c_1100_1^8 - 665543/862276*c_1100_1^7 + 929253/1724552*c_1100_1^6 - 16339/431138*c_1100_1^5 - 1068283/431138*c_1100_1^4 + 3090193/862276*c_1100_1^3 + 7604957/1724552*c_1100_1^2 + 504463/215569*c_1100_1 + 119375/431138, c_0101_2 + 27401/862276*c_1100_1^10 - 45379/862276*c_1100_1^9 + 74083/862276*c_1100_1^8 + 190341/862276*c_1100_1^7 - 327529/862276*c_1100_1^6 + 662085/862276*c_1100_1^5 - 423/431138*c_1100_1^4 - 425961/431138*c_1100_1^3 - 800277/862276*c_1100_1^2 - 895135/862276*c_1100_1 - 359971/431138, c_0101_4 - 10847/862276*c_1100_1^10 + 121/862276*c_1100_1^9 - 2098/215569*c_1100_1^8 - 44625/431138*c_1100_1^7 - 25957/862276*c_1100_1^6 - 140829/862276*c_1100_1^5 - 51801/862276*c_1100_1^4 + 4091/862276*c_1100_1^3 + 94999/215569*c_1100_1^2 + 530706/215569*c_1100_1 + 218417/215569, c_0101_6 + 186467/3449104*c_1100_1^10 - 28825/862276*c_1100_1^9 + 38437/3449104*c_1100_1^8 + 486621/862276*c_1100_1^7 - 982615/3449104*c_1100_1^6 + 57934/215569*c_1100_1^5 + 2654943/1724552*c_1100_1^4 - 399084/215569*c_1100_1^3 - 13894417/3449104*c_1100_1^2 - 5782215/1724552*c_1100_1 - 261574/215569, c_1001_10 - 186467/3449104*c_1100_1^10 + 28825/862276*c_1100_1^9 - 38437/3449104*c_1100_1^8 - 486621/862276*c_1100_1^7 + 982615/3449104*c_1100_1^6 - 57934/215569*c_1100_1^5 - 2654943/1724552*c_1100_1^4 + 399084/215569*c_1100_1^3 + 13894417/3449104*c_1100_1^2 + 5782215/1724552*c_1100_1 + 261574/215569, c_1100_1^11 - c_1100_1^9 + 12*c_1100_1^8 - c_1100_1^7 - 4*c_1100_1^6 + 42*c_1100_1^5 - 36*c_1100_1^4 - 95*c_1100_1^3 - 82*c_1100_1^2 - 36*c_1100_1 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB