Magma V2.19-8 Wed Aug 21 2013 00:58:16 on localhost [Seed = 863316396] Type ? for help. Type -D to quit. Loading file "L13n4930__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4930 geometric_solution 11.99536137 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 1 0 -1 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 -1 -1 2 0 0 -1 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 0.794320477969 1.194544664678 0 4 4 5 0132 0132 1302 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 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 0.450798995996 1.030955850404 0 0 7 6 3012 0132 0132 0132 1 1 1 0 0 -1 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 0 0 0 0 1 -1 0 -2 0 2 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 0.139990320849 0.813035197793 6 7 8 0 3201 3201 0132 0132 1 1 1 1 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 -1 0 1 -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 -0.353972441068 0.465064570875 1 1 9 10 2031 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 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 0.643943872303 0.814283419398 11 8 1 11 0132 3012 0132 3012 1 1 1 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 0 0 0 0 0 0 0 2 0 0 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289140265592 0.919300200837 8 11 2 3 2031 2310 0132 2310 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.111062719527 1.332208455209 10 10 3 2 1230 2031 2310 0132 1 1 0 1 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 0 -1 1 2 0 0 -2 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828345972286 1.311746147181 5 12 6 3 1230 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498104670913 1.353576799285 11 12 12 4 1302 2031 1230 0132 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 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643704517573 0.800214024358 7 7 4 12 1302 3012 0132 0132 1 1 1 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 1 0 -1 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828345972286 1.311746147181 5 9 5 6 0132 2031 1230 3201 1 1 1 1 0 1 -1 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 -2 2 0 -2 0 1 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 0.519298252813 0.483478838112 9 8 10 9 1302 0132 0132 3012 1 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 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484911466883 0.486958466941 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : negation(d['c_0101_7']), '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' : negation(d['c_0011_6']), 'c_0101_10' : negation(d['c_0011_7']), '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' : 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' : negation(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_0101_4'], 'c_1100_4' : d['c_0110_12'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0110_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0101_6'], '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_0110_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_6']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_11']})} 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_6, c_0011_7, c_0011_9, c_0101_0, c_0101_4, c_0101_6, c_0101_7, c_0110_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 4441508/7536445*c_0110_12^9 - 25661642/7536445*c_0110_12^8 - 89983749/7536445*c_0110_12^7 - 195632403/7536445*c_0110_12^6 - 295010242/7536445*c_0110_12^5 - 244837063/7536445*c_0110_12^4 - 9858374/1076635*c_0110_12^3 + 18551373/1507289*c_0110_12^2 + 8361903/1076635*c_0110_12 - 23753463/7536445, c_0011_0 - 1, c_0011_10 + 41133/8095*c_0110_12^9 + 221192/8095*c_0110_12^8 + 783949/8095*c_0110_12^7 + 1700223/8095*c_0110_12^6 + 2718012/8095*c_0110_12^5 + 2503548/8095*c_0110_12^4 + 1493973/8095*c_0110_12^3 - 35744/1619*c_0110_12^2 - 135196/8095*c_0110_12 - 101847/8095, c_0011_11 + 3547/8095*c_0110_12^9 + 19488/8095*c_0110_12^8 + 69426/8095*c_0110_12^7 + 152607/8095*c_0110_12^6 + 244818/8095*c_0110_12^5 + 230202/8095*c_0110_12^4 + 131657/8095*c_0110_12^3 - 4055/1619*c_0110_12^2 - 32024/8095*c_0110_12 - 8433/8095, c_0011_12 - 46153/8095*c_0110_12^9 - 250067/8095*c_0110_12^8 - 888334/8095*c_0110_12^7 - 1937233/8095*c_0110_12^6 - 3106557/8095*c_0110_12^5 - 2892698/8095*c_0110_12^4 - 1731118/8095*c_0110_12^3 + 35913/1619*c_0110_12^2 + 182436/8095*c_0110_12 + 122847/8095, c_0011_3 - 86293/8095*c_0110_12^9 - 466052/8095*c_0110_12^8 - 1654239/8095*c_0110_12^7 - 3598033/8095*c_0110_12^6 - 5759662/8095*c_0110_12^5 - 5329173/8095*c_0110_12^4 - 3167563/8095*c_0110_12^3 + 76875/1619*c_0110_12^2 + 340216/8095*c_0110_12 + 223262/8095, c_0011_6 + 3854/8095*c_0110_12^9 + 18856/8095*c_0110_12^8 + 63127/8095*c_0110_12^7 + 123024/8095*c_0110_12^6 + 176166/8095*c_0110_12^5 + 113454/8095*c_0110_12^4 + 36724/8095*c_0110_12^3 - 12071/1619*c_0110_12^2 + 13012/8095*c_0110_12 + 3654/8095, c_0011_7 + 356/1619*c_0110_12^9 + 1751/1619*c_0110_12^8 + 5732/1619*c_0110_12^7 + 10964/1619*c_0110_12^6 + 15015/1619*c_0110_12^5 + 8440/1619*c_0110_12^4 + 492/1619*c_0110_12^3 - 7368/1619*c_0110_12^2 - 512/1619*c_0110_12 - 96/1619, c_0011_9 + 58506/8095*c_0110_12^9 + 316424/8095*c_0110_12^8 + 1123213/8095*c_0110_12^7 + 2444851/8095*c_0110_12^6 + 3914364/8095*c_0110_12^5 + 3628476/8095*c_0110_12^4 + 2160071/8095*c_0110_12^3 - 49267/1619*c_0110_12^2 - 228762/8095*c_0110_12 - 150354/8095, c_0101_0 - 1, c_0101_4 - 44373/8095*c_0110_12^9 - 241312/8095*c_0110_12^8 - 859674/8095*c_0110_12^7 - 1882413/8095*c_0110_12^6 - 3031482/8095*c_0110_12^5 - 2850498/8095*c_0110_12^4 - 1728658/8095*c_0110_12^3 + 28545/1619*c_0110_12^2 + 179876/8095*c_0110_12 + 122367/8095, c_0101_6 - 17373/8095*c_0110_12^9 - 95232/8095*c_0110_12^8 - 339264/8095*c_0110_12^7 - 744628/8095*c_0110_12^6 - 1196352/8095*c_0110_12^5 - 1124928/8095*c_0110_12^4 - 666098/8095*c_0110_12^3 + 13523/1619*c_0110_12^2 + 93566/8095*c_0110_12 + 48507/8095, c_0101_7 + 16908/1619*c_0110_12^9 + 91385/1619*c_0110_12^8 + 324446/1619*c_0110_12^7 + 706113/1619*c_0110_12^6 + 1130721/1619*c_0110_12^5 + 1048016/1619*c_0110_12^4 + 624089/1619*c_0110_12^3 - 71889/1619*c_0110_12^2 - 65447/1619*c_0110_12 - 42324/1619, c_0110_12^10 + 5*c_0110_12^9 + 17*c_0110_12^8 + 34*c_0110_12^7 + 50*c_0110_12^6 + 35*c_0110_12^5 + 12*c_0110_12^4 - 19*c_0110_12^3 - 2*c_0110_12^2 - c_0110_12 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.760 Total time: 0.960 seconds, Total memory usage: 32.09MB