Magma V2.19-8 Tue Aug 20 2013 23:50:31 on localhost [Seed = 88305193] Type ? for help. Type -D to quit. Loading file "L12n27__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n27 geometric_solution 11.38178609 oriented_manifold CS_known 0.0000000000000009 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -1 3 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 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588451281189 0.790943454207 0 0 5 4 0132 1230 0132 0132 1 1 0 1 0 0 1 -1 0 0 0 0 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517694855116 0.994942611202 4 0 5 4 0132 0132 2103 2031 1 1 0 1 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 -1 0 1 0 0 1 -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 0.394514260377 0.813839646000 4 6 0 7 3012 0132 0132 0132 1 1 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 0 0 0 0 1 -1 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493306532240 0.642142692014 2 2 1 3 0132 1302 0132 1230 1 1 1 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 1 7 -8 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 0.517694855116 0.994942611202 2 8 7 1 2103 0132 1302 0132 1 1 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 0 0 0 7 0 -7 -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 0.247662640178 0.979326049759 9 3 10 8 0132 0132 0132 3120 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 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 0.313110637637 0.551744530201 5 9 3 8 2031 0132 0132 3012 1 1 1 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 0 0 0 0 -1 1 0 0 0 8 -8 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851628860374 1.274996873329 6 5 7 11 3120 0132 1230 0132 1 1 1 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 0 0 0 0 0 0 -7 8 -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 0.488815212620 0.481854744158 6 7 11 10 0132 0132 2103 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 1 -1 0 -1 0 0 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 1.372939805540 0.847190016681 11 9 11 6 3120 0321 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559679694978 1.471071674436 9 10 8 10 2103 3201 0132 3120 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559679694978 1.471071674436 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_6'], '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_0101_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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : negation(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' : negation(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_3'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_11'], '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' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0101_10']), '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_11, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4277405712384/4964375*c_1001_6^11 - 823463542784/4964375*c_1001_6^10 - 13150683136/15275*c_1001_6^9 + 2719399936/15275*c_1001_6^8 + 1581175762944/4964375*c_1001_6^7 - 368149049344/4964375*c_1001_6^6 + 25161375744/4964375*c_1001_6^5 + 57155454976/992875*c_1001_6^4 - 177793075328/4964375*c_1001_6^3 - 108968096384/4964375*c_1001_6^2 + 46570942848/4964375*c_1001_6 + 10176404416/4964375, c_0011_0 - 1, c_0011_10 - 4608/47*c_1001_6^11 - 2432/47*c_1001_6^10 + 4160/47*c_1001_6^9 + 2112/47*c_1001_6^8 - 1616/47*c_1001_6^7 - 456/47*c_1001_6^6 - 84/47*c_1001_6^5 - 348/47*c_1001_6^4 + 5/47*c_1001_6^3 + 161/47*c_1001_6^2 + 53/94*c_1001_6 - 25/94, c_0011_11 - 11776/47*c_1001_6^11 - 1536/47*c_1001_6^10 + 8960/47*c_1001_6^9 + 1888/47*c_1001_6^8 - 2960/47*c_1001_6^7 - 288/47*c_1001_6^6 - 152/47*c_1001_6^5 - 858/47*c_1001_6^4 + 65/47*c_1001_6^3 + 260/47*c_1001_6^2 + 31/94*c_1001_6 - 43/94, c_0011_3 - 9984/47*c_1001_6^11 - 256/47*c_1001_6^10 + 8512/47*c_1001_6^9 + 64/47*c_1001_6^8 - 2624/47*c_1001_6^7 - 48/47*c_1001_6^6 - 276/47*c_1001_6^5 - 660/47*c_1001_6^4 + 191/47*c_1001_6^3 + 200/47*c_1001_6^2 - 81/94*c_1001_6 - 31/47, c_0011_5 - 7680/47*c_1001_6^11 - 2048/47*c_1001_6^10 + 7936/47*c_1001_6^9 + 512/47*c_1001_6^8 - 3696/47*c_1001_6^7 + 368/47*c_1001_6^6 + 424/47*c_1001_6^5 - 768/47*c_1001_6^4 + 71/47*c_1001_6^3 + 237/47*c_1001_6^2 - 131/94*c_1001_6 - 73/94, c_0101_0 - 15360/47*c_1001_6^11 - 4096/47*c_1001_6^10 + 15872/47*c_1001_6^9 + 1024/47*c_1001_6^8 - 5888/47*c_1001_6^7 + 736/47*c_1001_6^6 + 96/47*c_1001_6^5 - 1536/47*c_1001_6^4 + 236/47*c_1001_6^3 + 474/47*c_1001_6^2 - 84/47*c_1001_6 - 26/47, c_0101_1 - 1, c_0101_10 + c_1001_6, c_0101_11 + 1024/47*c_1001_6^11 - 6144/47*c_1001_6^10 - 256/47*c_1001_6^9 + 4544/47*c_1001_6^8 + 192/47*c_1001_6^7 - 1152/47*c_1001_6^6 + 144/47*c_1001_6^5 - 236/47*c_1001_6^4 - 304/47*c_1001_6^3 + 100/47*c_1001_6^2 + 62/47*c_1001_6 + 8/47, c_0101_7 + 7680/47*c_1001_6^11 + 2048/47*c_1001_6^10 - 7936/47*c_1001_6^9 - 512/47*c_1001_6^8 + 3696/47*c_1001_6^7 - 368/47*c_1001_6^6 - 424/47*c_1001_6^5 + 768/47*c_1001_6^4 - 71/47*c_1001_6^3 - 237/47*c_1001_6^2 + 131/94*c_1001_6 + 73/94, c_1001_1 + 9984/47*c_1001_6^11 + 256/47*c_1001_6^10 - 8512/47*c_1001_6^9 - 64/47*c_1001_6^8 + 2624/47*c_1001_6^7 + 48/47*c_1001_6^6 + 276/47*c_1001_6^5 + 660/47*c_1001_6^4 - 191/47*c_1001_6^3 - 200/47*c_1001_6^2 + 81/94*c_1001_6 + 31/47, c_1001_6^12 - c_1001_6^10 + 3/8*c_1001_6^8 + 1/16*c_1001_6^5 - 7/256*c_1001_6^4 - 1/32*c_1001_6^3 + 1/256*c_1001_6^2 + 1/256*c_1001_6 + 1/1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB