Magma V2.19-8 Wed Aug 21 2013 00:56:58 on localhost [Seed = 2277612880] Type ? for help. Type -D to quit. Loading file "L13n3196__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3196 geometric_solution 11.84404013 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 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 2 -1 -1 0 0 1 -1 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964152728287 0.974814352932 0 5 3 6 0132 0132 3120 0132 1 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 0 0 0 0 0 1 -1 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457077455551 0.569028978672 7 0 8 8 0132 0132 2310 0132 0 1 1 0 0 1 0 -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 0 0 0 0 -2 0 2 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343980040195 0.580703040697 6 9 1 0 0132 0132 3120 0132 0 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 -1 0 1 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 0.603395601381 0.534760753992 10 5 0 7 0132 2031 0132 2031 0 1 1 0 0 0 0 0 0 0 0 0 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 1 -1 -1 0 1 0 -6 0 0 6 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487112838774 0.518558680102 4 1 11 8 1302 0132 0132 1023 1 0 0 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 0 0 0 2 0 0 -2 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113843042699 0.992782917371 3 10 1 12 0132 0213 0132 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 -1 1 0 -1 0 0 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.230922197172 0.882474790835 2 4 12 10 0132 1302 3012 1023 1 1 0 1 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 1 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273754498465 1.045376383569 11 2 2 5 2310 3201 0132 1023 0 1 0 1 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 -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 0 0 0 0 0 0.005077499892 1.519991901247 12 3 10 11 0132 0132 2310 1230 0 1 1 1 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 0 0 0 0 0 1 -1 0 -7 0 7 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 0.614852901802 1.212731657090 4 9 6 7 0132 3201 0213 1023 1 1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 -2 1 0 1 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194203065727 1.392111029175 9 12 8 5 3012 2310 3201 0132 1 0 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508684555087 0.391241985131 9 7 6 11 0132 1230 0132 3201 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 7 0 -1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767521634313 0.497775029029 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : 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' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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' : 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' : 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' : negation(d['c_0011_8']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_1001_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_0011_8'], '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' : negation(d['c_0011_11']), '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_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], '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_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_2'], '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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_9, c_0110_5, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2527/408*c_1001_12^3 - 1935/136*c_1001_12^2 + 6089/816*c_1001_12 - 7271/816, c_0011_0 - 1, c_0011_10 + c_1001_12^3 - c_1001_12^2 - 1/2*c_1001_12 - 3/2, c_0011_11 + c_1001_12, c_0011_12 + c_1001_12^3 - c_1001_12^2 + 1/2*c_1001_12 + 1/2, c_0011_8 + 2*c_1001_12 - 1, c_0101_0 - 1, c_0101_1 + 1, c_0101_11 - c_1001_12^3 + c_1001_12^2 + 1/2*c_1001_12 + 1/2, c_0101_2 + 2*c_1001_12^3 - 4*c_1001_12^2 + c_1001_12 - 1, c_0101_7 - 2*c_1001_12^3 + 2*c_1001_12^2 - c_1001_12, c_0101_9 + c_1001_12^3 - c_1001_12^2 + 1/2*c_1001_12 - 1/2, c_0110_5 - 2*c_1001_12^3 + 4*c_1001_12^2 - c_1001_12 + 2, c_1001_12^4 - 2*c_1001_12^3 + 1/2*c_1001_12^2 - c_1001_12 - 1/2 ], 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_9, c_0110_5, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2117212679437601/13015013039280*c_1001_12^11 - 20547247887460613/13015013039280*c_1001_12^10 + 7419416569851347/1084584419940*c_1001_12^9 - 202872903271453241/13015013039280*c_1001_12^8 + 105443508651515267/6507506519640*c_1001_12^7 + 6115925915209189/650750651964*c_1001_12^6 - 175691817853644241/3253753259820*c_1001_12^5 + 215223737397335251/3253753259820*c_1001_12^4 - 6990610997263903/929643788520*c_1001_12^3 - 268205049828682433/4338337679760*c_1001_12^2 + 797029119845145713/13015013039280*c_1001_12 - 14053391020525324/813438314955, c_0011_0 - 1, c_0011_10 - 45688702/2582343857*c_1001_12^11 + 770914007/5164687714*c_1001_12^10 - 1415047447/2582343857*c_1001_12^9 + 4883619453/5164687714*c_1001_12^8 - 1979154583/5164687714*c_1001_12^7 - 8988677125/5164687714*c_1001_12^6 + 18477214101/5164687714*c_1001_12^5 - 10286865027/5164687714*c_1001_12^4 - 13052421909/5164687714*c_1001_12^3 + 18121682045/5164687714*c_1001_12^2 - 7916996135/5164687714*c_1001_12 - 660054391/5164687714, c_0011_11 - 103731030/2582343857*c_1001_12^11 + 940184333/2582343857*c_1001_12^10 - 3780292329/2582343857*c_1001_12^9 + 7772569000/2582343857*c_1001_12^8 - 6570446148/2582343857*c_1001_12^7 - 7384438647/2582343857*c_1001_12^6 + 27312219277/2582343857*c_1001_12^5 - 27326533794/2582343857*c_1001_12^4 - 3456003426/2582343857*c_1001_12^3 + 29478630688/2582343857*c_1001_12^2 - 24465959763/2582343857*c_1001_12 + 6009644948/2582343857, c_0011_12 - 1, c_0011_8 - 4800287/2582343857*c_1001_12^11 + 93492815/2582343857*c_1001_12^10 - 1207959049/5164687714*c_1001_12^9 + 1939852037/2582343857*c_1001_12^8 - 2979259658/2582343857*c_1001_12^7 + 464274713/2582343857*c_1001_12^6 + 13538381871/5164687714*c_1001_12^5 - 23010834035/5164687714*c_1001_12^4 + 4133427223/2582343857*c_1001_12^3 + 21850154677/5164687714*c_1001_12^2 - 10818439723/2582343857*c_1001_12 + 2763983083/2582343857, c_0101_0 - 1, c_0101_1 - 76307831/2582343857*c_1001_12^11 + 655867041/2582343857*c_1001_12^10 - 2530894207/2582343857*c_1001_12^9 + 9937556363/5164687714*c_1001_12^8 - 3959314588/2582343857*c_1001_12^7 - 10047000137/5164687714*c_1001_12^6 + 33705328791/5164687714*c_1001_12^5 - 16224358855/2582343857*c_1001_12^4 - 1867926162/2582343857*c_1001_12^3 + 16618010473/2582343857*c_1001_12^2 - 15172309685/2582343857*c_1001_12 + 8941521091/5164687714, c_0101_11 - 258944689/5164687714*c_1001_12^11 + 2391342945/5164687714*c_1001_12^10 - 9807007347/5164687714*c_1001_12^9 + 10326401944/2582343857*c_1001_12^8 - 9070055975/2582343857*c_1001_12^7 - 9368406522/2582343857*c_1001_12^6 + 36322795137/2582343857*c_1001_12^5 - 37390165615/2582343857*c_1001_12^4 - 3631553639/2582343857*c_1001_12^3 + 39120887790/2582343857*c_1001_12^2 - 32031220881/2582343857*c_1001_12 + 17065459679/5164687714, c_0101_2 + 45688702/2582343857*c_1001_12^11 - 770914007/5164687714*c_1001_12^10 + 1415047447/2582343857*c_1001_12^9 - 4883619453/5164687714*c_1001_12^8 + 1979154583/5164687714*c_1001_12^7 + 8988677125/5164687714*c_1001_12^6 - 18477214101/5164687714*c_1001_12^5 + 10286865027/5164687714*c_1001_12^4 + 13052421909/5164687714*c_1001_12^3 - 18121682045/5164687714*c_1001_12^2 + 7916996135/5164687714*c_1001_12 + 660054391/5164687714, c_0101_7 - 130032938/2582343857*c_1001_12^11 + 1091273059/2582343857*c_1001_12^10 - 3992620688/2582343857*c_1001_12^9 + 6992337720/2582343857*c_1001_12^8 - 3396295953/2582343857*c_1001_12^7 - 11598889115/2582343857*c_1001_12^6 + 26726551540/2582343857*c_1001_12^5 - 17885231794/2582343857*c_1001_12^4 - 12686928340/2582343857*c_1001_12^3 + 25235261019/2582343857*c_1001_12^2 - 15070453704/2582343857*c_1001_12 + 4920407645/2582343857, c_0101_9 - 181515567/2582343857*c_1001_12^11 + 1602247338/2582343857*c_1001_12^10 - 6239043377/2582343857*c_1001_12^9 + 12100003608/2582343857*c_1001_12^8 - 8395515607/2582343857*c_1001_12^7 - 15566824865/2582343857*c_1001_12^6 + 44747703260/2582343857*c_1001_12^5 - 38012495436/2582343857*c_1001_12^4 - 13038028766/2582343857*c_1001_12^3 + 47102119080/2582343857*c_1001_12^2 - 32783319797/2582343857*c_1001_12 + 7384233571/2582343857, c_0110_5 + 292241/37290164*c_1001_12^11 - 831042/9322541*c_1001_12^10 + 3733286/9322541*c_1001_12^9 - 32504165/37290164*c_1001_12^8 + 22604561/37290164*c_1001_12^7 + 11723710/9322541*c_1001_12^6 - 137702007/37290164*c_1001_12^5 + 108570605/37290164*c_1001_12^4 + 17094504/9322541*c_1001_12^3 - 42941237/9322541*c_1001_12^2 + 14736296/9322541*c_1001_12 - 3329475/37290164, c_1001_12^12 - 10*c_1001_12^11 + 45*c_1001_12^10 - 109*c_1001_12^9 + 131*c_1001_12^8 + 22*c_1001_12^7 - 344*c_1001_12^6 + 512*c_1001_12^5 - 190*c_1001_12^4 - 345*c_1001_12^3 + 496*c_1001_12^2 - 245*c_1001_12 + 48 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB