Magma V2.19-8 Wed Aug 21 2013 01:04:13 on localhost [Seed = 3230062744] Type ? for help. Type -D to quit. Loading file "L14n24002__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24002 geometric_solution 12.23328472 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 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 1 0 -1 0 0 1 -1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718708686543 1.018319862722 0 5 7 6 0132 0132 0132 0132 1 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292668868584 0.862634694744 7 0 9 8 0132 0132 0132 0132 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 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 0.646278407664 0.342214330923 10 11 11 0 0132 0132 1302 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 0 0 0 0 0 1 -1 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686778853291 0.906312377183 8 6 0 10 0132 3012 0132 3012 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 1 -1 -1 0 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 0.180904898357 0.649070548422 12 1 11 8 0132 0132 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287864195507 0.518264596727 4 9 1 12 1230 3120 0132 0132 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 0 0 0 0 0 0 0 -1 0 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 0.405402847823 0.505225109918 2 12 10 1 0132 0132 2031 0132 1 1 0 1 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 0 0 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445336467408 1.739891769315 4 5 2 9 0132 0321 0132 3120 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 0 0 0 0 0 0 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 0 0 0.596518329561 0.816112550824 8 6 11 2 3120 3120 1230 0132 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 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 0.669980709824 0.548396848053 3 12 4 7 0132 1302 1230 1302 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.049844307167 1.197720039348 3 3 5 9 2031 0132 0321 3012 1 1 1 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 0 0 0 0 -2 1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468876180275 0.700901155193 5 7 6 10 0132 0132 0132 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 -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 0.396900755723 1.059242881344 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_1010_10'], 's_0_10' : 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_0'], '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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : negation(d['c_1010_10']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_9']), '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_1010_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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_9']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_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_9'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_9'])})} 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_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_9, c_1001_0, c_1001_5, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 722886528576/21333725*c_1010_10^11 + 88454292848/4266745*c_1010_10^10 - 3516756576/17675*c_1010_10^9 + 430168168/3535*c_1010_10^8 - 45537080732/179275*c_1010_10^7 + 5562524861/35855*c_1010_10^6 + 1377128196216/4266745*c_1010_10^5 - 168854736488/853349*c_1010_10^4 - 2544077881923/21333725*c_1010_10^\ 3 + 312522233649/4266745*c_1010_10^2 + 363086771697/21333725*c_1010_10 - 44613944901/4266745, c_0011_0 - 1, c_0011_10 + 287104/5151*c_1010_10^11 + 99776/303*c_1010_10^9 + 130232/303*c_1010_10^7 - 2651240/5151*c_1010_10^5 + 919070/5151*c_1010_10^3 - 120641/5151*c_1010_10, c_0011_4 + 857056/12019*c_1010_10^11 + 219472/12019*c_1010_10^10 + 295408/707*c_1010_10^9 + 75672/707*c_1010_10^8 + 53386/101*c_1010_10^7 + 13711/101*c_1010_10^6 - 8301260/12019*c_1010_10^5 - 2105583/12019*c_1010_10^4 + 3025968/12019*c_1010_10^3 + 805583/12019*c_1010_10^2 - 424982/12019*c_1010_10 - 115496/12019, c_0011_6 - 683152/12019*c_1010_10^11 - 345648/12019*c_1010_10^10 - 236616/707*c_1010_10^9 - 119592/707*c_1010_10^8 - 43635/101*c_1010_10^7 - 21961/101*c_1010_10^6 + 6383430/12019*c_1010_10^5 + 3255001/12019*c_1010_10^4 - 2364595/12019*c_1010_10^3 - 1206566/12019*c_1010_10^2 + 329997/12019*c_1010_10 + 163757/12019, c_0011_9 + 14960/707*c_1010_10^11 - 219472/12019*c_1010_10^10 + 87016/707*c_1010_10^9 - 75672/707*c_1010_10^8 + 15301/101*c_1010_10^7 - 13711/101*c_1010_10^6 - 149755/707*c_1010_10^5 + 2105583/12019*c_1010_10^4 + 58900/707*c_1010_10^3 - 805583/12019*c_1010_10^2 - 9565/707*c_1010_10 + 115496/12019, c_0101_0 - 1, c_0101_1 + 209056/12019*c_1010_10^11 - 511712/12019*c_1010_10^10 + 72032/707*c_1010_10^9 - 177712/707*c_1010_10^8 + 12982/101*c_1010_10^7 - 33066/101*c_1010_10^6 - 2045047/12019*c_1010_10^5 + 4733224/12019*c_1010_10^4 + 707401/12019*c_1010_10^3 - 1669713/12019*c_1010_10^2 - 96995/12019*c_1010_10 + 228145/12019, c_0101_11 + 80336/5151*c_1010_10^11 - 39040/1717*c_1010_10^10 + 27640/303*c_1010_10^9 - 13504/101*c_1010_10^8 + 34849/303*c_1010_10^7 - 17328/101*c_1010_10^6 - 772285/5151*c_1010_10^5 + 369534/1717*c_1010_10^4 + 313621/5151*c_1010_10^3 - 133245/1717*c_1010_10^2 - 47317/5151*c_1010_10 + 19661/1717, c_0101_7 - 80336/5151*c_1010_10^11 - 39040/1717*c_1010_10^10 - 27640/303*c_1010_10^9 - 13504/101*c_1010_10^8 - 34849/303*c_1010_10^7 - 17328/101*c_1010_10^6 + 772285/5151*c_1010_10^5 + 369534/1717*c_1010_10^4 - 313621/5151*c_1010_10^3 - 133245/1717*c_1010_10^2 + 47317/5151*c_1010_10 + 17944/1717, c_0101_9 - 196192/5151*c_1010_10^11 - 67328/303*c_1010_10^9 - 83894/303*c_1010_10^7 + 1928411/5151*c_1010_10^5 - 758564/5151*c_1010_10^3 + 115520/5151*c_1010_10, c_1001_0 + 80336/5151*c_1010_10^11 + 1600/101*c_1010_10^10 + 27640/303*c_1010_10^9 + 9488/101*c_1010_10^8 + 34849/303*c_1010_10^7 + 12596/101*c_1010_10^6 - 772285/5151*c_1010_10^5 - 14211/101*c_1010_10^4 + 313621/5151*c_1010_10^3 + 5263/101*c_1010_10^2 - 47317/5151*c_1010_10 - 747/101, c_1001_5 - 33680/1717*c_1010_10^10 - 11544/101*c_1010_10^8 - 14285/101*c_1010_10^6 + 336961/1717*c_1010_10^4 - 125517/1717*c_1010_10^2 + 17507/1717, c_1010_10^12 + 11/2*c_1010_10^10 + 85/16*c_1010_10^8 - 197/16*c_1010_10^6 + 113/16*c_1010_10^4 - 29/16*c_1010_10^2 + 3/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB