Magma V2.19-8 Wed Aug 21 2013 01:03:27 on localhost [Seed = 239605254] Type ? for help. Type -D to quit. Loading file "L14n20195__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20195 geometric_solution 12.28774260 oriented_manifold CS_known -0.0000000000000002 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 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 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823292362335 0.683009734599 0 5 7 6 0132 0132 0132 0132 1 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 0 -13 13 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 0.414877009580 0.794191668686 8 0 7 9 0132 0132 3120 0132 1 1 0 1 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 0 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355028605718 1.372255308090 5 8 7 0 0132 0132 2310 0132 1 1 0 1 0 0 0 0 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 -1 1 0 0 0 0 0 1 0 -1 1 -14 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760066611911 0.800000856472 10 5 0 11 0132 1302 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 -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 0.931982941194 0.619812747718 3 1 6 4 0132 0132 2103 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343956296991 1.146840522589 5 9 1 10 2103 1023 0132 3012 1 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 0 0 0 0 -1 -13 14 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 1.156541968765 0.880130700542 12 3 2 1 0132 3201 3120 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 -13 0 13 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 0.601292144754 0.816138178858 2 3 9 10 0132 0132 0213 2031 1 1 1 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 14 0 -14 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256056301460 0.494757755275 6 8 2 11 1023 0213 0132 2310 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 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 0.375819189045 0.656975553895 4 8 6 12 0132 1302 1230 0132 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821883080735 0.803868781256 9 12 4 12 3201 0321 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375819189045 0.656975553895 7 11 10 11 0132 1302 0132 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 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 0.452451775534 0.416685269877 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_6'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0110_11'], 's_3_11' : d['1'], 's_3_10' : 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_10'], '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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_0011_11'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0110_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : d['c_0110_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_6'], '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' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], '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_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0011_6'], 'c_0101_8' : d['c_0011_6'], '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' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0110_11, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 42970309/53830*c_1001_0^9 + 116425453/26915*c_1001_0^8 + 246052663/53830*c_1001_0^7 - 186457537/7690*c_1001_0^6 - 2460688799/53830*c_1001_0^5 - 1768192879/53830*c_1001_0^4 + 151773568/26915*c_1001_0^3 + 3523639281/53830*c_1001_0^2 + 1323970811/53830*c_1001_0 + 107168431/53830, c_0011_0 - 1, c_0011_10 - 1841247/333746*c_1001_0^9 + 4823142/166873*c_1001_0^8 + 12417193/333746*c_1001_0^7 - 7782931/47678*c_1001_0^6 - 115841713/333746*c_1001_0^5 - 92202193/333746*c_1001_0^4 + 1629979/166873*c_1001_0^3 + 155448899/333746*c_1001_0^2 + 82781903/333746*c_1001_0 + 8566603/333746, c_0011_11 - 74343/166873*c_1001_0^9 + 378607/166873*c_1001_0^8 + 79958/23839*c_1001_0^7 - 2137468/166873*c_1001_0^6 - 4986633/166873*c_1001_0^5 - 4356747/166873*c_1001_0^4 - 430688/166873*c_1001_0^3 + 6243897/166873*c_1001_0^2 + 4360318/166873*c_1001_0 + 730967/166873, c_0011_12 + 74343/166873*c_1001_0^9 - 378607/166873*c_1001_0^8 - 79958/23839*c_1001_0^7 + 2137468/166873*c_1001_0^6 + 4986633/166873*c_1001_0^5 + 4356747/166873*c_1001_0^4 + 430688/166873*c_1001_0^3 - 6243897/166873*c_1001_0^2 - 4193445/166873*c_1001_0 - 730967/166873, c_0011_6 + 28514/166873*c_1001_0^9 - 281303/333746*c_1001_0^8 - 240131/166873*c_1001_0^7 + 798960/166873*c_1001_0^6 + 4101805/333746*c_1001_0^5 + 3828539/333746*c_1001_0^4 + 266253/166873*c_1001_0^3 - 4912239/333746*c_1001_0^2 - 3753889/333746*c_1001_0 - 274502/166873, c_0101_0 + 107293/333746*c_1001_0^9 - 282510/166873*c_1001_0^8 - 349984/166873*c_1001_0^7 + 448269/47678*c_1001_0^6 + 6688047/333746*c_1001_0^5 + 2716426/166873*c_1001_0^4 - 207295/333746*c_1001_0^3 - 8999257/333746*c_1001_0^2 - 2318009/166873*c_1001_0 - 293555/166873, c_0101_1 - 1, c_0101_10 - 19377/23839*c_1001_0^9 + 728691/166873*c_1001_0^8 + 1633315/333746*c_1001_0^7 - 4117303/166873*c_1001_0^6 - 7976429/166873*c_1001_0^5 - 11546665/333746*c_1001_0^4 + 1933287/333746*c_1001_0^3 + 11343002/166873*c_1001_0^2 + 9081467/333746*c_1001_0 + 248541/333746, c_0101_2 - 1, c_0101_3 - 289592/166873*c_1001_0^9 + 1493789/166873*c_1001_0^8 + 4157561/333746*c_1001_0^7 - 8428151/166873*c_1001_0^6 - 18932932/166873*c_1001_0^5 - 4539357/47678*c_1001_0^4 - 129555/47678*c_1001_0^3 + 3539965/23839*c_1001_0^2 + 4295915/47678*c_1001_0 + 4054759/333746, c_0110_11 - 19377/23839*c_1001_0^9 + 728691/166873*c_1001_0^8 + 1633315/333746*c_1001_0^7 - 4117303/166873*c_1001_0^6 - 7976429/166873*c_1001_0^5 - 11546665/333746*c_1001_0^4 + 1933287/333746*c_1001_0^3 + 11343002/166873*c_1001_0^2 + 9081467/333746*c_1001_0 + 248541/333746, c_0110_6 - 6547/23839*c_1001_0^9 + 475911/333746*c_1001_0^8 + 319575/166873*c_1001_0^7 - 1338508/166873*c_1001_0^6 - 5871461/333746*c_1001_0^5 - 4884955/333746*c_1001_0^4 - 164435/166873*c_1001_0^3 + 7575555/333746*c_1001_0^2 + 4633001/333746*c_1001_0 + 289592/166873, c_1001_0^10 - 5*c_1001_0^9 - 8*c_1001_0^8 + 28*c_1001_0^7 + 70*c_1001_0^6 + 65*c_1001_0^5 + 10*c_1001_0^4 - 85*c_1001_0^3 - 65*c_1001_0^2 - 15*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB