Magma V2.19-8 Wed Aug 21 2013 00:58:16 on localhost [Seed = 1048061089] Type ? for help. Type -D to quit. Loading file "L13n4930__sl2_c2.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' : negation(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' : 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' : negation(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' : negation(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_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' : negation(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' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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 + 16833776430888/3843740755*c_0110_12^9 - 1356146597482/57369265*c_0110_12^8 + 64459268275415/768748151*c_0110_12^7 - 36866699610643/202302145*c_0110_12^6 + 224020272500562/768748151*c_0110_12^5 - 1034314433207491/3843740755*c_0110_12^4 + 612879768875224/3843740755*c_0110_12^3 + 76566587278629/3843740755*c_0110_12^2 - 677634886133/40460429*c_0110_12 + 42476466451581/3843740755, c_0011_0 - 1, c_0011_10 - 7401/8095*c_0110_12^9 + 38344/8095*c_0110_12^8 - 132553/8095*c_0110_12^7 + 275631/8095*c_0110_12^6 - 420984/8095*c_0110_12^5 + 343656/8095*c_0110_12^4 - 168381/8095*c_0110_12^3 - 16126/1619*c_0110_12^2 + 19012/8095*c_0110_12 - 4779/8095, 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 + 18501/8095*c_0110_12^9 - 98579/8095*c_0110_12^8 + 348658/8095*c_0110_12^7 - 753191/8095*c_0110_12^6 + 1203489/8095*c_0110_12^5 - 1103246/8095*c_0110_12^4 + 662236/8095*c_0110_12^3 + 16977/1619*c_0110_12^2 - 59352/8095*c_0110_12 + 42699/8095, c_0011_3 - 4641/8095*c_0110_12^9 + 22404/8095*c_0110_12^8 - 73743/8095*c_0110_12^7 + 138421/8095*c_0110_12^6 - 186334/8095*c_0110_12^5 + 88581/8095*c_0110_12^4 + 10249/8095*c_0110_12^3 - 21419/1619*c_0110_12^2 - 20248/8095*c_0110_12 + 4606/8095, c_0011_6 - 8936/1619*c_0110_12^9 + 48136/1619*c_0110_12^8 - 170675/1619*c_0110_12^7 + 370566/1619*c_0110_12^6 - 592566/1619*c_0110_12^5 + 546750/1619*c_0110_12^4 - 325126/1619*c_0110_12^3 - 39799/1619*c_0110_12^2 + 33444/1619*c_0110_12 - 22056/1619, 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 - 3536/1619*c_0110_12^9 + 18920/1619*c_0110_12^8 - 66593/1619*c_0110_12^7 + 143009/1619*c_0110_12^6 - 225540/1619*c_0110_12^5 + 201636/1619*c_0110_12^4 - 114233/1619*c_0110_12^3 - 21539/1619*c_0110_12^2 + 9706/1619*c_0110_12 - 7284/1619, c_0101_0 - 1, c_0101_4 + 16721/8095*c_0110_12^9 - 89824/8095*c_0110_12^8 + 319998/8095*c_0110_12^7 - 698371/8095*c_0110_12^6 + 1128414/8095*c_0110_12^5 - 1061046/8095*c_0110_12^4 + 659776/8095*c_0110_12^3 + 9609/1619*c_0110_12^2 - 56792/8095*c_0110_12 + 42219/8095, c_0101_6 - 10279/8095*c_0110_12^9 + 56256/8095*c_0110_12^8 - 200412/8095*c_0110_12^7 + 439414/8095*c_0110_12^6 - 706716/8095*c_0110_12^5 + 664524/8095*c_0110_12^4 - 402784/8095*c_0110_12^3 - 5413/1619*c_0110_12^2 + 29518/8095*c_0110_12 - 31641/8095, c_0101_7 - 16352/8095*c_0110_12^9 + 86813/8095*c_0110_12^8 - 303706/8095*c_0110_12^7 + 644567/8095*c_0110_12^6 - 1004073/8095*c_0110_12^5 + 868132/8095*c_0110_12^4 - 468697/8095*c_0110_12^3 - 25625/1619*c_0110_12^2 + 26519/8095*c_0110_12 - 30168/8095, 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 : 0.800 Total time: 1.010 seconds, Total memory usage: 32.09MB