Magma V2.19-8 Wed Aug 21 2013 00:53:27 on localhost [Seed = 4290374164] Type ? for help. Type -D to quit. Loading file "L12n1586__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1586 geometric_solution 11.57189681 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 2 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 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 0.170428932861 1.234173191967 0 3 6 5 0132 0213 0132 0132 2 1 1 2 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 0 0 -0.146116258486 0.928327568733 3 0 8 7 0213 0132 0132 0132 2 1 1 2 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 -1 0 1 0 0 0 0 -3 0 0 3 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.183110495143 0.571197319080 2 8 1 0 0213 0132 0213 0132 2 1 1 2 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 0 0 0 3 0 -2 -1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773013043368 0.664604482595 9 6 0 9 0132 0132 0132 2031 2 1 0 2 0 0 0 0 0 0 0 0 -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 0 1 -1 -1 0 1 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 0.247302551237 1.144832288739 7 9 1 10 0321 2310 0132 0132 2 1 1 1 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 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801938724364 1.219726925806 10 4 10 1 1302 0132 0132 0132 2 1 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.180276015130 0.834547811876 5 11 2 12 0321 0132 0132 0132 2 1 1 1 0 0 0 0 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 1 -1 0 2 0 0 -2 1 0 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485262997999 1.181472739436 11 3 12 2 2103 0132 0132 0132 2 1 2 1 0 0 0 0 -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 0 0 0 -2 0 2 0 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485262997999 1.181472739436 4 4 10 5 0132 1302 1302 3201 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 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 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819723984870 0.834547811876 9 6 5 6 2031 2031 0132 0132 2 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 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 -0.180276015130 0.834547811876 12 7 8 12 0213 0132 2103 0321 2 1 1 1 0 0 0 0 -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 -1 1 0 -3 0 2 1 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101553679471 0.757609753776 11 11 7 8 0213 0321 0132 0132 2 1 1 1 0 0 0 0 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 0 0 0 0 0 0 2 -2 3 -3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.462105709732 0.911485869975 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_4']), '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_0011_12'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1100_12'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1100_12'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_1001_5']), 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : d['c_1100_12'], 's_3_1' : negation(d['1']), 's_3_0' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_12'], '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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_4']), '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_0011_12']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1']})} 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_1001_0, c_1001_1, c_1001_5, c_1100_1, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 115371497399/1792015652336*c_1100_12^6 + 12775369299/8827663312*c_1100_12^5 - 5088501725043/448003913084*c_1100_12^4 + 58831517467445/1792015652336*c_1100_12^3 - 2274099846367/128001118024*c_1100_12^2 + 204606889029/1792015652336*c_1100_12 + 5053451714275/896007826168, c_0011_0 - 1, c_0011_10 - 350137/155847776*c_1100_12^6 + 119935/5565992*c_1100_12^5 + 6851351/77923888*c_1100_12^4 - 189514827/155847776*c_1100_12^3 + 29243403/22263968*c_1100_12^2 - 64975889/38961944*c_1100_12 + 7894767/9740486, c_0011_11 + 929939/38961944*c_1100_12^6 - 1123361/2782996*c_1100_12^5 + 39353723/19480972*c_1100_12^4 - 75886683/38961944*c_1100_12^3 + 9110325/5565992*c_1100_12^2 - 12164745/19480972*c_1100_12 + 3767111/4870243, c_0011_12 + 1740735/77923888*c_1100_12^6 - 1048581/2782996*c_1100_12^5 + 72744703/38961944*c_1100_12^4 - 127969875/77923888*c_1100_12^3 + 12487203/11131984*c_1100_12^2 - 19521361/19480972*c_1100_12 + 1776508/4870243, c_0011_3 + 190349/19480972*c_1100_12^6 - 476307/2782996*c_1100_12^5 + 8952305/9740486*c_1100_12^4 - 22576679/19480972*c_1100_12^3 + 306829/695749*c_1100_12^2 - 13420363/19480972*c_1100_12 + 2162515/4870243, c_0011_4 - 1, c_0101_0 - 1, c_0101_1 + 110465/9740486*c_1100_12^6 - 286437/1391498*c_1100_12^5 + 5811797/4870243*c_1100_12^4 - 20175875/9740486*c_1100_12^3 + 1424673/695749*c_1100_12^2 - 22367609/9740486*c_1100_12 + 4661352/4870243, c_1001_0 - 152627/9740486*c_1100_12^6 + 356235/1391498*c_1100_12^5 - 5715688/4870243*c_1100_12^4 + 5241043/9740486*c_1100_12^3 - 410670/695749*c_1100_12^2 + 301363/9740486*c_1100_12 - 1035095/4870243, c_1001_1 + 19975/19480972*c_1100_12^6 - 41781/2782996*c_1100_12^5 + 264387/9740486*c_1100_12^4 + 5764575/19480972*c_1100_12^3 - 123393/695749*c_1100_12^2 + 17769923/19480972*c_1100_12 - 1122313/4870243, c_1001_5 + 123201/19480972*c_1100_12^6 - 270095/2782996*c_1100_12^5 + 3658257/9740486*c_1100_12^4 + 4541001/19480972*c_1100_12^3 - 159980/695749*c_1100_12^2 + 21573929/19480972*c_1100_12 - 3736445/4870243, c_1100_1 + 80723/2782996*c_1100_12^6 - 1415843/2782996*c_1100_12^5 + 3843635/1391498*c_1100_12^4 - 10880357/2782996*c_1100_12^3 + 2689366/695749*c_1100_12^2 - 9699501/2782996*c_1100_12 + 798037/695749, c_1100_12^7 - 17*c_1100_12^6 + 86*c_1100_12^5 - 87*c_1100_12^4 + 68*c_1100_12^3 - 43*c_1100_12^2 + 28*c_1100_12 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB