Magma V2.19-8 Tue Aug 20 2013 23:42:31 on localhost [Seed = 3296895404] Type ? for help. Type -D to quit. Loading file "L13n3833__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3833 geometric_solution 10.10265286 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 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 0.460712118885 0.497589721997 0 5 2 6 0132 0132 2103 0132 1 1 1 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 0 -7 7 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 1.696721844436 1.125107175050 1 0 4 7 2103 0132 2103 0132 1 1 1 0 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 -1 1 0 1 0 0 -1 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296590324250 1.074131584315 8 9 8 0 0132 0132 2031 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 -1 1 0 0 0 0 8 -8 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.047462088089 0.671267187880 2 7 0 9 2103 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 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 0 0 -1 -7 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.015029894416 0.636655918865 7 1 10 7 0321 0132 0132 1023 1 1 0 1 0 1 -1 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 7 -8 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 0.637018304461 1.274061122916 9 8 1 10 3201 3120 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 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 0.572391570525 1.097227640164 5 4 2 5 0321 0132 0132 1023 1 1 0 1 0 0 0 0 0 0 0 0 -2 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 1 0 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637018304461 1.274061122916 3 6 10 3 0132 3120 2310 1302 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 -1 0 0 1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534792011912 0.711229760283 10 3 4 6 2031 0132 0132 2310 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 0 0 0 1 0 -1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482809327418 1.159460397006 6 8 9 5 3012 3201 1302 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 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854105034404 0.621784897452 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_0']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_3'], '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_2_10' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0101_9'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_1001_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' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : d['c_0011_10'], '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' : negation(d['1']), '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_10' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : 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_0'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_0']), 'c_0110_8' : d['c_0011_10'], '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_5']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5, c_0101_9, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 27183540730573513/11521335628365180*c_1001_5^8 - 23808191462097379/5760667814182590*c_1001_5^7 + 143477863585429003/5760667814182590*c_1001_5^6 + 6500319339524086/192022260472753*c_1001_5^5 - 947159942463399901/11521335628365180*c_1001_5^4 - 320108197585353679/5760667814182590*c_1001_5^3 + 349472947155319919/3840445209455060*c_1001_5^2 + 45458702553367/3840445209455060*c_1001_5 + 22531186810880023/2880333907091295, c_0011_0 - 1, c_0011_10 + 3330185625/138419362388*c_1001_5^8 + 1689688683/69209681194*c_1001_5^7 - 20708388565/69209681194*c_1001_5^6 - 3188996948/34604840597*c_1001_5^5 + 195139088501/138419362388*c_1001_5^4 - 42838748129/69209681194*c_1001_5^3 - 415685228357/138419362388*c_1001_5^2 + 237404410895/138419362388*c_1001_5 + 27004326842/34604840597, c_0011_3 + 34311459663/69209681194*c_1001_5^8 + 116726447287/138419362388*c_1001_5^7 - 184507744848/34604840597*c_1001_5^6 - 245349109014/34604840597*c_1001_5^5 + 615552821767/34604840597*c_1001_5^4 + 1701160710717/138419362388*c_1001_5^3 - 692011821159/34604840597*c_1001_5^2 - 275142475145/138419362388*c_1001_5 - 127248085997/138419362388, c_0011_4 - 8163396072/34604840597*c_1001_5^8 - 61998291961/138419362388*c_1001_5^7 + 89913361790/34604840597*c_1001_5^6 + 145012870219/34604840597*c_1001_5^5 - 608558129025/69209681194*c_1001_5^4 - 1345830552999/138419362388*c_1001_5^3 + 643570041563/69209681194*c_1001_5^2 + 680125845445/138419362388*c_1001_5 + 185920827899/138419362388, c_0011_6 - 31559659547/69209681194*c_1001_5^8 - 49709061739/69209681194*c_1001_5^7 + 353877132931/69209681194*c_1001_5^6 + 421803784457/69209681194*c_1001_5^5 - 625208932520/34604840597*c_1001_5^4 - 355677419511/34604840597*c_1001_5^3 + 1465938185991/69209681194*c_1001_5^2 - 20601412567/34604840597*c_1001_5 + 30445095857/34604840597, c_0101_0 - 1, c_0101_1 + 260759782283/138419362388*c_1001_5^8 + 448250904035/138419362388*c_1001_5^7 - 705300177383/34604840597*c_1001_5^6 - 1907510946163/69209681194*c_1001_5^5 + 9484891807011/138419362388*c_1001_5^4 + 6749121419751/138419362388*c_1001_5^3 - 10709958339337/138419362388*c_1001_5^2 - 176412704506/34604840597*c_1001_5 - 521475366221/138419362388, c_0101_5 - 6755890856/34604840597*c_1001_5^8 - 47156895581/138419362388*c_1001_5^7 + 142367804555/69209681194*c_1001_5^6 + 181902292685/69209681194*c_1001_5^5 - 238057718788/34604840597*c_1001_5^4 - 402420074877/138419362388*c_1001_5^3 + 573468301713/69209681194*c_1001_5^2 - 441329983747/138419362388*c_1001_5 + 198594696761/138419362388, c_0101_9 + 36273757689/138419362388*c_1001_5^8 + 46692875589/138419362388*c_1001_5^7 - 211353897505/69209681194*c_1001_5^6 - 94997271934/34604840597*c_1001_5^5 + 1572147131287/138419362388*c_1001_5^4 + 506825045255/138419362388*c_1001_5^3 - 1882322360743/138419362388*c_1001_5^2 + 93994059074/34604840597*c_1001_5 - 206130139289/138419362388, c_1001_0 - 22421451039/138419362388*c_1001_5^8 - 37056640301/138419362388*c_1001_5^7 + 237853379493/138419362388*c_1001_5^6 + 292614796967/138419362388*c_1001_5^5 - 383425558641/69209681194*c_1001_5^4 - 183543207535/69209681194*c_1001_5^3 + 812666885747/138419362388*c_1001_5^2 - 129781677425/69209681194*c_1001_5 + 18528138855/69209681194, c_1001_5^9 + 21/13*c_1001_5^8 - 11*c_1001_5^7 - 176/13*c_1001_5^6 + 491/13*c_1001_5^5 + 289/13*c_1001_5^4 - 554/13*c_1001_5^3 + 22/13*c_1001_5^2 - 48/13*c_1001_5 + 3/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB