Magma V2.19-8 Wed Aug 21 2013 01:02:45 on localhost [Seed = 239605227] Type ? for help. Type -D to quit. Loading file "L14n15768__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15768 geometric_solution 12.16575198 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 1 -1 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 1 -1 0 -1 0 1 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 0.660735529787 0.831040662511 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 1 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 0 0 0 1 0 -1 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 0.432628352270 0.326587741626 8 0 10 9 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -1 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 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 0.527607804201 1.111497292054 6 8 11 0 0132 0132 0132 0132 1 1 0 1 0 1 0 -1 0 0 -1 1 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 -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 0.643632476855 0.321582624095 10 11 0 12 0132 3201 0132 0132 1 1 1 1 0 0 1 -1 -1 0 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 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 0.660735529787 0.831040662511 9 1 8 12 1023 0132 1023 2031 1 1 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943902801100 0.767279774676 3 9 1 10 0132 1023 0132 0132 1 1 1 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 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 0.660735529787 0.831040662511 8 11 9 1 3120 3120 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.013418841605 1.081066485553 2 3 5 7 0132 0132 1023 3120 1 1 1 0 0 -1 0 1 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 1 0 -1 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 1.125764660733 0.884302082901 6 5 2 7 1023 1023 0132 0132 1 1 1 0 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 -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 0.660735529787 0.831040662511 4 12 6 2 0132 2310 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -1 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 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 0.527607804201 1.111497292054 12 7 4 3 0132 3120 2310 0132 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 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 0.593864738258 0.697972063315 11 5 4 10 0132 1302 0132 3201 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440202512632 0.931191893618 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_5']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_7']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0011_7']), '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'], 'c_1100_12' : negation(d['c_0011_10']), '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_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_0110_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 253883183725/10050832209*c_1100_1^7 + 215056644982/10050832209*c_1100_1^6 - 221086328627/10050832209*c_1100_1^5 - 1048769768350/10050832209*c_1100_1^4 - 1430984663752/10050832209*c_1100_1^3 - 2248906559291/10050832209*c_1100_1^2 - 2628127214413/10050832209*c_1100_1 - 1672219563785/10050832209, c_0011_0 - 1, c_0011_10 + 230/803*c_1100_1^7 - 357/803*c_1100_1^6 + 277/803*c_1100_1^5 + 987/803*c_1100_1^4 + 406/803*c_1100_1^3 + 1141/803*c_1100_1^2 + 1227/803*c_1100_1 + 64/803, c_0011_11 + 127/803*c_1100_1^7 - 47/803*c_1100_1^6 - 67/803*c_1100_1^5 + 744/803*c_1100_1^4 + 699/803*c_1100_1^3 + 1646/803*c_1100_1^2 + 1086/803*c_1100_1 + 573/803, c_0011_7 + 4/803*c_1100_1^7 - 90/803*c_1100_1^6 + 333/803*c_1100_1^5 - 318/803*c_1100_1^4 - 370/803*c_1100_1^3 + 760/803*c_1100_1^2 - 244/803*c_1100_1 + 448/803, c_0101_0 - 458/803*c_1100_1^7 + 669/803*c_1100_1^6 - 789/803*c_1100_1^5 - 1330/803*c_1100_1^4 - 1800/803*c_1100_1^3 - 2705/803*c_1100_1^2 - 2576/803*c_1100_1 - 707/803, c_0101_1 - 1, c_0101_10 - 87/803*c_1100_1^7 - 50/803*c_1100_1^6 + 185/803*c_1100_1^5 - 712/803*c_1100_1^4 - 384/803*c_1100_1^3 - 1273/803*c_1100_1^2 - 1117/803*c_1100_1 - 108/803, c_0101_11 + 1, c_0101_5 - 228/803*c_1100_1^7 + 312/803*c_1100_1^6 - 512/803*c_1100_1^5 - 343/803*c_1100_1^4 - 1394/803*c_1100_1^3 - 1564/803*c_1100_1^2 - 1349/803*c_1100_1 - 643/803, c_0101_7 + 40/803*c_1100_1^7 - 97/803*c_1100_1^6 + 118/803*c_1100_1^5 + 32/803*c_1100_1^4 + 315/803*c_1100_1^3 - 430/803*c_1100_1^2 - 31/803*c_1100_1 - 338/803, c_0101_8 - 228/803*c_1100_1^7 + 312/803*c_1100_1^6 - 512/803*c_1100_1^5 - 343/803*c_1100_1^4 - 1394/803*c_1100_1^3 - 1564/803*c_1100_1^2 - 2152/803*c_1100_1 - 643/803, c_0110_5 + 147/803*c_1100_1^7 - 497/803*c_1100_1^6 + 795/803*c_1100_1^5 - 43/803*c_1100_1^4 - 348/803*c_1100_1^3 + 628/803*c_1100_1^2 - 134/803*c_1100_1 - 399/803, c_1100_1^8 - c_1100_1^7 + c_1100_1^6 + 4*c_1100_1^5 + 5*c_1100_1^4 + 8*c_1100_1^3 + 9*c_1100_1^2 + 5*c_1100_1 - 1 ], 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_0110_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 80406307/4968872*c_1100_1^7 + 7797897093/546575920*c_1100_1^6 - 40309764589/546575920*c_1100_1^5 + 1793084767/109315184*c_1100_1^4 - 38919927487/546575920*c_1100_1^3 - 2222729499/109315184*c_1100_1^2 + 69495821/546575920*c_1100_1 + 3304678789/546575920, c_0011_0 - 1, c_0011_10 - 8888/15149*c_1100_1^7 - 138806/75745*c_1100_1^6 - 91807/75745*c_1100_1^5 - 97149/15149*c_1100_1^4 - 107046/75745*c_1100_1^3 - 72853/15149*c_1100_1^2 - 153417/75745*c_1100_1 + 41347/75745, c_0011_11 - 209506/75745*c_1100_1^7 - 93253/75745*c_1100_1^6 - 605832/75745*c_1100_1^5 - 495831/75745*c_1100_1^4 - 459191/75745*c_1100_1^3 - 589387/75745*c_1100_1^2 - 8073/15149*c_1100_1 - 32378/75745, c_0011_7 - 179608/75745*c_1100_1^7 - 229698/75745*c_1100_1^6 - 321309/75745*c_1100_1^5 - 846653/75745*c_1100_1^4 - 181432/75745*c_1100_1^3 - 588316/75745*c_1100_1^2 - 161288/75745*c_1100_1 + 66824/75745, c_0101_0 + 319308/75745*c_1100_1^7 - 279344/75745*c_1100_1^6 + 183223/15149*c_1100_1^5 - 267327/75745*c_1100_1^4 + 112647/15149*c_1100_1^3 + 74141/75745*c_1100_1^2 + 116574/75745*c_1100_1 - 11957/15149, c_0101_1 - 1, c_0101_10 + 66/75745*c_1100_1^7 - 118751/75745*c_1100_1^6 + 73564/75745*c_1100_1^5 - 258274/75745*c_1100_1^4 - 45603/75745*c_1100_1^3 - 52668/75745*c_1100_1^2 - 176303/75745*c_1100_1 + 1356/75745, c_0101_11 - 179674/75745*c_1100_1^7 - 110947/75745*c_1100_1^6 - 394873/75745*c_1100_1^5 - 588379/75745*c_1100_1^4 - 135829/75745*c_1100_1^3 - 535648/75745*c_1100_1^2 + 3003/15149*c_1100_1 - 10277/75745, c_0101_5 - 319308/75745*c_1100_1^7 + 279344/75745*c_1100_1^6 - 183223/15149*c_1100_1^5 + 267327/75745*c_1100_1^4 - 112647/15149*c_1100_1^3 - 74141/75745*c_1100_1^2 - 116574/75745*c_1100_1 + 11957/15149, c_0101_7 + 651288/75745*c_1100_1^7 - 362698/75745*c_1100_1^6 + 2034587/75745*c_1100_1^5 - 510287/75745*c_1100_1^4 + 1505541/75745*c_1100_1^3 + 34366/75745*c_1100_1^2 + 28901/75745*c_1100_1 - 25857/75745, c_0101_8 - 166914/75745*c_1100_1^7 + 37801/75745*c_1100_1^6 - 604447/75745*c_1100_1^5 + 253046/75745*c_1100_1^4 - 590161/75745*c_1100_1^3 + 264897/75745*c_1100_1^2 + 126111/75745*c_1100_1 + 39797/75745, c_0110_5 - 66/75745*c_1100_1^7 + 118751/75745*c_1100_1^6 - 73564/75745*c_1100_1^5 + 258274/75745*c_1100_1^4 + 45603/75745*c_1100_1^3 + 52668/75745*c_1100_1^2 + 176303/75745*c_1100_1 - 1356/75745, c_1100_1^8 - 13/22*c_1100_1^7 + 34/11*c_1100_1^6 - 7/11*c_1100_1^5 + 24/11*c_1100_1^4 + 3/11*c_1100_1^3 + 1/11*c_1100_1^2 - 1/11*c_1100_1 + 1/22 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB