Magma V2.19-8 Tue Aug 20 2013 23:30:50 on localhost [Seed = 2917911510] Type ? for help. Type -D to quit. Loading file "L13n670__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n670 geometric_solution 7.02061479 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 1 3 0132 0132 2310 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 0.046628423420 0.839065557555 0 0 1 1 0132 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469167167276 0.090870316024 4 0 5 3 0132 0132 0132 1230 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 -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 1.757214824121 1.786002245134 2 6 0 4 3012 0132 0132 3201 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 -1 0 1 0 0 0 0 -1 16 0 -15 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.757214824121 1.786002245134 2 3 7 8 0132 2310 0132 0132 1 1 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 0 0 0 0 0 0 0 0 15 0 -15 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 0.045494625923 0.469811484826 8 7 7 2 0132 0213 2103 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 0 0 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538202167631 0.508676580849 8 3 7 8 1230 0132 2310 0213 1 0 1 1 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 1 0 -1 1 0 -1 0 0 -1 0 1 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538202167631 0.508676580849 5 6 5 4 2103 3201 0213 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978366371591 1.077683838759 5 6 4 6 0132 3012 0132 0213 1 1 0 1 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 0 0 0 0 0 -16 15 1 1 0 0 -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 0.978366371591 1.077683838759 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_0011_3'], 's_2_8' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_1001_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : d['c_0011_7'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_2'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1605432910292482564/886197659005264385*c_1001_4^7 + 30861641152373294386/57602847835342185025*c_1001_4^6 + 210438987301585559663/57602847835342185025*c_1001_4^5 - 239329015999812114548/57602847835342185025*c_1001_4^4 + 66395202074030610232/57602847835342185025*c_1001_4^3 - 417623830631849365148/57602847835342185025*c_1001_4^2 + 115945734061424364248/57602847835342185025*c_1001_4 - 89149504832110407432/57602847835342185025, c_0011_0 - 1, c_0011_3 - 52863881019612/403367163862205*c_1001_4^7 - 102662025449076/2016835819311025*c_1001_4^6 - 424643056442458/2016835819311025*c_1001_4^5 + 573027128316068/2016835819311025*c_1001_4^4 - 150442525442962/2016835819311025*c_1001_4^3 + 65427917220868/2016835819311025*c_1001_4^2 - 369240365083443/2016835819311025*c_1001_4 - 1179368973575288/2016835819311025, c_0011_5 - 1, c_0011_7 - 53541339280/82572602633*c_1001_4^7 - 35807255228/82572602633*c_1001_4^6 - 114545930508/82572602633*c_1001_4^5 + 8870078250/82572602633*c_1001_4^4 - 79775181680/82572602633*c_1001_4^3 + 61994110078/82572602633*c_1001_4^2 - 81818371142/82572602633*c_1001_4 - 84265774341/82572602633, c_0101_0 + 256366397640652/403367163862205*c_1001_4^7 + 723312552545246/2016835819311025*c_1001_4^6 + 1741419908149168/2016835819311025*c_1001_4^5 - 586686989582028/2016835819311025*c_1001_4^4 + 135083885506652/2016835819311025*c_1001_4^3 - 901415611253578/2016835819311025*c_1001_4^2 - 219894307775972/2016835819311025*c_1001_4 + 2631229136200298/2016835819311025, c_0101_1 + 169275621557016/403367163862205*c_1001_4^7 + 645550382001368/2016835819311025*c_1001_4^6 + 1918583191276844/2016835819311025*c_1001_4^5 - 18834671155474/2016835819311025*c_1001_4^4 + 679216941085016/2016835819311025*c_1001_4^3 - 1068059324491424/2016835819311025*c_1001_4^2 - 810504543175076/2016835819311025*c_1001_4 + 1568725998739309/2016835819311025, c_0101_2 + c_1001_4, c_1001_2 - 29743281999288/403367163862205*c_1001_4^7 + 164236827025376/2016835819311025*c_1001_4^6 - 194392362325792/2016835819311025*c_1001_4^5 + 449999041940332/2016835819311025*c_1001_4^4 - 277327467929788/2016835819311025*c_1001_4^3 + 2134177676678482/2016835819311025*c_1001_4^2 - 167943332590032/2016835819311025*c_1001_4 - 520702401912912/2016835819311025, c_1001_4^8 + 64/65*c_1001_4^7 + 136/65*c_1001_4^6 + 4/13*c_1001_4^5 + 46/65*c_1001_4^4 - 54/65*c_1001_4^3 - 2/13*c_1001_4^2 + 129/65*c_1001_4 + 13/10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB