Magma V2.19-8 Tue Aug 20 2013 20:11:39 on localhost [Seed = 139354092] Type ? for help. Type -D to quit. Loading file "11_373__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_373 geometric_solution 13.35531244 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.375940358022 0.971779832590 0 5 6 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.284625502925 1.075966156801 7 0 8 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618449308731 0.945079651863 9 1 10 0 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 1.269663556472 0.957572005010 9 11 0 9 1230 0132 0132 0132 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 -1 1 0 0 0 0 -1 -1 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771707341302 0.578933844379 7 1 2 10 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391289477971 0.628157544547 12 13 11 1 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.091258013136 0.943803501125 2 5 13 14 0132 1023 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.198368306605 1.012388842429 14 13 12 2 1023 3012 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731563121143 0.288145926041 3 4 4 12 0132 3012 0132 3012 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 1 -1 0 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 0.771707341302 0.578933844379 12 11 5 3 3012 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.825027025248 0.416176474433 6 4 10 13 2031 0132 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.868707148432 1.456393554127 6 8 9 10 0132 1230 1230 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.197828583005 3.150316715470 8 6 11 7 1230 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.339462897060 0.574235377663 14 8 7 14 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717054089260 0.816843618703 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_14' : d['c_0101_10'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_1'], 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_13']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0101_13']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_13' : negation(d['c_0101_5']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_13']), 'c_1010_10' : d['c_0101_11'], 'c_1010_14' : d['c_0101_14'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : 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'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_14' : d['c_0011_14'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_12']), 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : d['c_0011_14'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : negation(d['c_1001_12']), 'c_1100_3' : negation(d['c_1001_12']), 'c_1100_2' : negation(d['c_1001_12']), 'c_1100_14' : d['c_0011_14'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_1001_12']), 'c_1100_13' : negation(d['c_0101_5']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_13']), 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : negation(d['c_0101_13']), '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' : d['c_0101_3'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_14'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_12']), '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_0101_5']), 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0011_14'], 'c_0110_12' : d['c_0011_10'], 'c_0110_14' : d['c_0011_14'], 'c_0101_12' : d['c_0101_1'], 'c_0011_7' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 's_3_12' : d['1'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_14'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_14'], 'c_0110_1' : negation(d['c_0011_3']), 'c_1100_9' : negation(d['c_1001_12']), 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_14'], 'c_1100_8' : negation(d['c_1001_12'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_14, c_0011_3, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_14, c_0101_3, c_0101_5, c_1001_0, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 862538447/1077118*c_1001_12^9 - 2689119431/538559*c_1001_12^8 + 22676079771/1077118*c_1001_12^7 - 27627793867/538559*c_1001_12^6 + 39369784821/538559*c_1001_12^5 - 67790625667/1077118*c_1001_12^4 + 19401963810/538559*c_1001_12^3 - 7193072785/538559*c_1001_12^2 + 1830605823/1077118*c_1001_12 + 256576776/538559, c_0011_0 - 1, c_0011_10 + 459/758*c_1001_12^9 - 2561/758*c_1001_12^8 + 10541/758*c_1001_12^7 - 23287/758*c_1001_12^6 + 14919/379*c_1001_12^5 - 23103/758*c_1001_12^4 + 13261/758*c_1001_12^3 - 2524/379*c_1001_12^2 + 2371/758*c_1001_12 - 475/758, c_0011_12 + 653/758*c_1001_12^9 - 1908/379*c_1001_12^8 + 15419/758*c_1001_12^7 - 17229/379*c_1001_12^6 + 20427/379*c_1001_12^5 - 25035/758*c_1001_12^4 + 4977/379*c_1001_12^3 - 2846/379*c_1001_12^2 + 1365/758*c_1001_12 - 316/379, c_0011_14 + 1345/758*c_1001_12^9 - 7265/758*c_1001_12^8 + 14575/379*c_1001_12^7 - 30690/379*c_1001_12^6 + 35151/379*c_1001_12^5 - 48243/758*c_1001_12^4 + 30537/758*c_1001_12^3 - 13807/758*c_1001_12^2 + 2059/379*c_1001_12 - 1186/379, c_0011_3 - 133/379*c_1001_12^9 + 1627/758*c_1001_12^8 - 6747/758*c_1001_12^7 + 7973/379*c_1001_12^6 - 10635/379*c_1001_12^5 + 8084/379*c_1001_12^4 - 8211/758*c_1001_12^3 + 3747/758*c_1001_12^2 - 711/758*c_1001_12 + 8/379, c_0101_1 - 349/379*c_1001_12^9 + 3859/758*c_1001_12^8 - 15687/758*c_1001_12^7 + 16992/379*c_1001_12^6 - 20552/379*c_1001_12^5 + 14408/379*c_1001_12^4 - 14405/758*c_1001_12^3 + 4173/758*c_1001_12^2 - 1917/758*c_1001_12 + 343/379, c_0101_10 + 89/379*c_1001_12^9 - 667/758*c_1001_12^8 + 2315/758*c_1001_12^7 - 907/379*c_1001_12^6 - 1948/379*c_1001_12^5 + 4869/379*c_1001_12^4 - 8309/758*c_1001_12^3 + 4383/758*c_1001_12^2 - 1177/758*c_1001_12 + 348/379, c_0101_11 + 459/758*c_1001_12^9 - 2561/758*c_1001_12^8 + 10541/758*c_1001_12^7 - 23287/758*c_1001_12^6 + 14919/379*c_1001_12^5 - 23103/758*c_1001_12^4 + 13261/758*c_1001_12^3 - 2524/379*c_1001_12^2 + 2371/758*c_1001_12 - 475/758, c_0101_13 + 1523/758*c_1001_12^9 - 3966/379*c_1001_12^8 + 31465/758*c_1001_12^7 - 31597/379*c_1001_12^6 + 33203/379*c_1001_12^5 - 38505/758*c_1001_12^4 + 11114/379*c_1001_12^3 - 4712/379*c_1001_12^2 + 2941/758*c_1001_12 - 838/379, c_0101_14 - 1535/758*c_1001_12^9 + 8373/758*c_1001_12^8 - 33861/758*c_1001_12^7 + 72391/758*c_1001_12^6 - 42964/379*c_1001_12^5 + 61091/758*c_1001_12^4 - 35265/758*c_1001_12^3 + 6455/379*c_1001_12^2 - 3543/758*c_1001_12 + 2221/758, c_0101_3 + 45/379*c_1001_12^9 - 465/758*c_1001_12^8 + 1026/379*c_1001_12^7 - 4737/758*c_1001_12^6 + 4040/379*c_1001_12^5 - 5297/379*c_1001_12^4 + 10039/758*c_1001_12^3 - 2650/379*c_1001_12^2 + 931/379*c_1001_12 - 487/758, c_0101_5 - 299/758*c_1001_12^9 + 1229/758*c_1001_12^8 - 4619/758*c_1001_12^7 + 6275/758*c_1001_12^6 - 999/379*c_1001_12^5 - 2637/758*c_1001_12^4 + 375/758*c_1001_12^3 - 629/379*c_1001_12^2 + 97/758*c_1001_12 + 283/758, c_1001_0 - c_1001_12, c_1001_1 - 612/379*c_1001_12^9 + 6703/758*c_1001_12^8 - 13423/379*c_1001_12^7 + 56919/758*c_1001_12^6 - 32204/379*c_1001_12^5 + 20571/379*c_1001_12^4 - 22603/758*c_1001_12^3 + 5341/379*c_1001_12^2 - 1519/379*c_1001_12 + 1393/758, c_1001_12^10 - 6*c_1001_12^9 + 25*c_1001_12^8 - 59*c_1001_12^7 + 81*c_1001_12^6 - 69*c_1001_12^5 + 44*c_1001_12^4 - 22*c_1001_12^3 + 8*c_1001_12^2 - 3*c_1001_12 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 191.780 Total time: 191.990 seconds, Total memory usage: 741.28MB