Magma V2.19-8 Tue Aug 20 2013 23:39:09 on localhost [Seed = 1443902010] Type ? for help. Type -D to quit. Loading file "K11n31__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n31 geometric_solution 10.53138442 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 1 0 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.563801898595 1.704874216085 0 3 6 5 0132 1230 0132 0132 0 0 0 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 0 0 0 0 0 0 0 6 0 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.100101457899 0.538130250911 7 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 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 7 -6 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 0.637099956107 0.550523725181 5 10 1 0 0132 0132 3012 0132 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 -1 1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140851512359 0.550516178187 9 11 0 6 2103 0132 0132 2031 0 0 0 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 0 0 0 0 0 0 0 -7 0 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.057689898607 0.527421624675 3 7 1 9 0132 2310 0132 2310 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 0 0 0 -7 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.665887967914 1.796135595146 10 4 8 1 2103 1302 2103 0132 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 -1 0 1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847910145686 1.327432327198 2 10 10 5 0132 1302 2103 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.520972735823 0.354038700013 6 11 2 11 2103 0213 0132 3120 0 0 0 0 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 6 -6 -1 0 0 1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736676638249 0.772231647667 5 11 4 2 3201 0321 2103 0132 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 7 -7 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 0.342673992974 0.532832930850 7 3 6 7 2103 0132 2103 2031 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 1 -1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.922926951106 1.203516381517 8 4 8 9 3120 0132 0213 0321 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 -1 0 0 1 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525481053103 0.935512565107 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_8']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0011_8']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : 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' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0011_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 5025280586449/776308967200*c_1001_2^10 + 19059705669679/388154483600*c_1001_2^9 - 2403385377556/24259655225*c_1001_2^8 - 305984598172771/776308967200*c_1001_2^7 + 204264724383981/77630896720*c_1001_2^6 - 4334364544065113/776308967200*c_1001_2^5 + 6215806822090/970386209*c_1001_2^4 - 2921873882700373/776308967200*c_1001_2^3 + 82145004036793/155261793440*c_1001_2^2 + 69586801571347/776308967200*c_1001_2 - 168371472879/48519310450, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 10073/376615*c_1001_2^10 - 2577447/12051680*c_1001_2^9 + 1752969/6025840*c_1001_2^8 + 2233263/1506460*c_1001_2^7 - 24317439/2410336*c_1001_2^6 + 126280021/6025840*c_1001_2^5 - 67370057/2410336*c_1001_2^4 + 58945693/3012920*c_1001_2^3 - 23579557/2410336*c_1001_2^2 + 21189297/12051680*c_1001_2 - 10402929/12051680, c_0011_6 - 707287/12051680*c_1001_2^10 - 2856637/6025840*c_1001_2^9 + 449631/753230*c_1001_2^8 + 39758333/12051680*c_1001_2^7 - 26097097/1205168*c_1001_2^6 + 535140139/12051680*c_1001_2^5 - 18133541/301292*c_1001_2^4 + 547783719/12051680*c_1001_2^3 - 57456519/2410336*c_1001_2^2 + 54491099/12051680*c_1001_2 - 443497/3012920, c_0011_8 + 2287383/24103360*c_1001_2^10 + 18908301/24103360*c_1001_2^9 - 10109717/12051680*c_1001_2^8 - 136716197/24103360*c_1001_2^7 + 164584773/4820672*c_1001_2^6 - 1540829461/24103360*c_1001_2^5 + 374620053/4820672*c_1001_2^4 - 1091049411/24103360*c_1001_2^3 + 1195848/75323*c_1001_2^2 + 5471739/1506460*c_1001_2 - 18589423/24103360, c_0011_9 - 498587/12051680*c_1001_2^10 - 3788249/12051680*c_1001_2^9 + 3578683/6025840*c_1001_2^8 + 26683033/12051680*c_1001_2^7 - 40096341/2410336*c_1001_2^6 + 456338389/12051680*c_1001_2^5 - 124717237/2410336*c_1001_2^4 + 475860519/12051680*c_1001_2^3 - 10392333/602584*c_1001_2^2 + 5429961/3012920*c_1001_2 + 19815227/12051680, c_0101_0 + 5136187/24103360*c_1001_2^10 + 39630679/24103360*c_1001_2^9 - 34169033/12051680*c_1001_2^8 - 278245893/24103360*c_1001_2^7 + 402970379/4820672*c_1001_2^6 - 4501470389/24103360*c_1001_2^5 + 1250699595/4820672*c_1001_2^4 - 5010109499/24103360*c_1001_2^3 + 252324911/2410336*c_1001_2^2 - 239901217/12051680*c_1001_2 - 44048397/24103360, c_0101_1 + 17337/376615*c_1001_2^10 + 2021049/6025840*c_1001_2^9 - 4713641/6025840*c_1001_2^8 - 14361503/6025840*c_1001_2^7 + 5776037/301292*c_1001_2^6 - 35428373/753230*c_1001_2^5 + 82137799/1205168*c_1001_2^4 - 371322849/6025840*c_1001_2^3 + 5091525/150646*c_1001_2^2 - 64213769/6025840*c_1001_2 - 950391/3012920, c_0101_10 - 152503/12051680*c_1001_2^10 - 208897/1506460*c_1001_2^9 - 1116593/6025840*c_1001_2^8 + 11035327/12051680*c_1001_2^7 - 2992949/1205168*c_1001_2^6 - 31713829/12051680*c_1001_2^5 + 9603635/1205168*c_1001_2^4 - 194861979/12051680*c_1001_2^3 + 24007881/2410336*c_1001_2^2 - 73936439/12051680*c_1001_2 - 174236/376615, c_0101_2 + 5065239/24103360*c_1001_2^10 + 41385913/24103360*c_1001_2^9 - 24218111/12051680*c_1001_2^8 - 295097801/24103360*c_1001_2^7 + 370571837/4820672*c_1001_2^6 - 3605630493/24103360*c_1001_2^5 + 913722929/4820672*c_1001_2^4 - 2928196623/24103360*c_1001_2^3 + 31238565/602584*c_1001_2^2 + 6129863/6025840*c_1001_2 - 33206759/24103360, c_1001_1 + 367737/4820672*c_1001_2^10 + 2779067/4820672*c_1001_2^9 - 2691065/2410336*c_1001_2^8 - 19460031/4820672*c_1001_2^7 + 147851787/4820672*c_1001_2^6 - 342524891/4820672*c_1001_2^5 + 484899175/4820672*c_1001_2^4 - 404312505/4820672*c_1001_2^3 + 52627023/1205168*c_1001_2^2 - 5713505/602584*c_1001_2 - 3891221/4820672, c_1001_2^11 + 8*c_1001_2^10 - 11*c_1001_2^9 - 57*c_1001_2^8 + 376*c_1001_2^7 - 772*c_1001_2^6 + 1008*c_1001_2^5 - 702*c_1001_2^4 + 303*c_1001_2^3 - 12*c_1001_2^2 - 13*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.280 Total time: 4.480 seconds, Total memory usage: 32.09MB