Magma V2.19-8 Wed Aug 21 2013 01:06:46 on localhost [Seed = 2985797962] Type ? for help. Type -D to quit. Loading file "L14n32837__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32837 geometric_solution 11.72884924 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 -1 1 0 0 0 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386134086730 1.109387901951 0 5 2 6 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 -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 0.267139528782 0.662428262906 7 0 1 8 0132 0132 1023 0132 1 1 1 0 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 0 0 1 0 -2 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 -0.057497499456 1.792713471732 5 8 9 0 2103 1023 0132 0132 1 1 1 1 0 0 0 0 1 0 -1 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 -1 0 1 -2 0 2 0 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222342042026 0.988716589622 7 5 0 6 3012 1302 0132 1230 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.136930530414 1.095212020748 7 1 3 4 1023 0132 2103 2031 1 1 0 1 0 -1 1 0 1 0 -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 2 -2 0 -1 0 2 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499307505349 1.086320626752 4 10 1 11 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440172481732 1.017027962568 2 5 12 4 0132 1023 0132 1230 1 1 0 1 0 -1 1 0 1 0 -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 1 -1 0 -1 0 1 0 1 -2 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243628167573 0.499553566365 3 10 2 11 1023 1302 0132 1023 1 1 1 1 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 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 -0.166401136601 1.267323843181 12 10 11 3 1023 1230 1302 0132 1 1 1 1 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 0 0 0 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 0.321606953852 0.338150185935 12 6 9 8 2310 0132 3012 2031 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 -0.030572322233 0.909184736749 9 12 6 8 2031 3012 0132 1023 1 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445532574930 0.324278076970 11 9 10 7 1230 1023 3201 0132 1 1 1 1 0 0 1 -1 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 0 -1 1 0 0 1 -1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051995544655 1.411733381247 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_12']), 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], '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' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_11'], 'c_1100_8' : negation(d['c_1100_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : negation(d['c_0101_12']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0110_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_0011_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_0110_11'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_12']), '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_0011_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_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_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0110_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 312770333309731/53051724360054*c_1100_1^8 + 2571539272319707/53051724360054*c_1100_1^7 + 468715631857745/53051724360054*c_1100_1^6 - 1363446100536587/2947318020003*c_1100_1^5 + 27533411756054039/53051724360054*c_1100_1^4 + 88045771346193211/53051724360054*c_1100_1^3 - 4828656712066312/1263136294287*c_1100_1^2 + 170078702895601369/53051724360054*c_1100_1 - 20824996381475003/26525862180027, c_0011_0 - 1, c_0011_10 - 298969541/140348477143*c_1100_1^8 - 1529581470/140348477143*c_1100_1^7 + 8356087251/140348477143*c_1100_1^6 + 35732543513/140348477143*c_1100_1^5 - 83840907293/140348477143*c_1100_1^4 - 71602211168/140348477143*c_1100_1^3 + 64540005067/20049782449*c_1100_1^2 - 410576734878/140348477143*c_1100_1 + 1800558713/1024441439, c_0011_11 - 1342946436/140348477143*c_1100_1^8 - 11377442049/140348477143*c_1100_1^7 - 4814610974/140348477143*c_1100_1^6 + 104046829877/140348477143*c_1100_1^5 - 93945610541/140348477143*c_1100_1^4 - 390592518851/140348477143*c_1100_1^3 + 114955619825/20049782449*c_1100_1^2 - 585923745600/140348477143*c_1100_1 + 1051033904/1024441439, c_0011_12 + 942587041/140348477143*c_1100_1^8 + 8622468809/140348477143*c_1100_1^7 + 10008795406/140348477143*c_1100_1^6 - 60260759592/140348477143*c_1100_1^5 + 26819634307/140348477143*c_1100_1^4 + 256108204767/140348477143*c_1100_1^3 - 50254826085/20049782449*c_1100_1^2 + 250146182375/140348477143*c_1100_1 - 151777799/1024441439, c_0011_3 - 878828312/140348477143*c_1100_1^8 - 7369746246/140348477143*c_1100_1^7 - 2282362162/140348477143*c_1100_1^6 + 71422204169/140348477143*c_1100_1^5 - 52239781872/140348477143*c_1100_1^4 - 246802020660/140348477143*c_1100_1^3 + 65606842554/20049782449*c_1100_1^2 - 278055052801/140348477143*c_1100_1 + 886432653/1024441439, c_0011_4 - 1411524872/140348477143*c_1100_1^8 - 12773729141/140348477143*c_1100_1^7 - 12375355402/140348477143*c_1100_1^6 + 103961918122/140348477143*c_1100_1^5 - 30951766330/140348477143*c_1100_1^4 - 448786044967/140348477143*c_1100_1^3 + 71957133580/20049782449*c_1100_1^2 - 155679049014/140348477143*c_1100_1 + 590800181/1024441439, c_0101_0 - 1, c_0101_1 - 953431181/140348477143*c_1100_1^8 - 9487371730/140348477143*c_1100_1^7 - 16166126885/140348477143*c_1100_1^6 + 63784808950/140348477143*c_1100_1^5 + 57235939723/140348477143*c_1100_1^4 - 277009329252/140348477143*c_1100_1^3 + 5143177017/20049782449*c_1100_1^2 + 39849774081/140348477143*c_1100_1 + 402241996/1024441439, c_0101_11 - 644879896/140348477143*c_1100_1^8 - 5109960888/140348477143*c_1100_1^7 + 1026932747/140348477143*c_1100_1^6 + 54224683319/140348477143*c_1100_1^5 - 75370298902/140348477143*c_1100_1^4 - 222681475595/140348477143*c_1100_1^3 + 68852126328/20049782449*c_1100_1^2 - 241864777093/140348477143*c_1100_1 - 177699226/1024441439, c_0101_12 - 325369934/140348477143*c_1100_1^8 - 2821516830/140348477143*c_1100_1^7 - 1263199912/140348477143*c_1100_1^6 + 30082139244/140348477143*c_1100_1^5 - 7491632611/140348477143*c_1100_1^4 - 133387517393/140348477143*c_1100_1^3 + 23538410690/20049782449*c_1100_1^2 + 19217820927/140348477143*c_1100_1 - 5766443/1024441439, c_0101_3 - 169968290/140348477143*c_1100_1^8 - 2621678862/140348477143*c_1100_1^7 - 10722647247/140348477143*c_1100_1^6 + 7968615017/140348477143*c_1100_1^5 + 79708775270/140348477143*c_1100_1^4 - 121075629032/140348477143*c_1100_1^3 - 42837697572/20049782449*c_1100_1^2 + 505043868239/140348477143*c_1100_1 - 2385977770/1024441439, c_0110_11 - 119521467/20049782449*c_1100_1^8 - 1037913502/20049782449*c_1100_1^7 - 620129271/20049782449*c_1100_1^6 + 9408101665/20049782449*c_1100_1^5 - 5554907343/20049782449*c_1100_1^4 - 35770542967/20049782449*c_1100_1^3 + 67603734422/20049782449*c_1100_1^2 - 39786456226/20049782449*c_1100_1 + 80683237/146348777, c_1100_1^9 + 8*c_1100_1^8 - 76*c_1100_1^6 + 107*c_1100_1^5 + 237*c_1100_1^4 - 692*c_1100_1^3 + 787*c_1100_1^2 - 426*c_1100_1 + 137 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.230 Total time: 1.449 seconds, Total memory usage: 32.09MB