Magma V2.19-8 Thu Sep 12 2013 16:10:33 on localhost [Seed = 2814896734] Type ? for help. Type -D to quit. Loading file "10_122__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_122 geometric_solution 16.41082316 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 4 0 -4 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 0.372743224290 1.102775353733 0 5 5 6 0132 0132 1302 0132 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 -4 0 -1 5 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540639392567 0.992482896941 4 0 8 7 0213 0132 0132 0132 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 1 -1 0 0 0 -4 4 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859743230311 0.385128898067 9 10 9 0 0132 0132 3012 0132 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 -4 0 0 4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.258814231630 0.906175039500 2 11 0 12 0213 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0.036009576618 0.706528934091 1 1 11 13 2031 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576737036840 0.777008219565 12 14 1 15 1230 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 5 0 -5 0 0 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400153708897 0.869330643015 15 11 2 8 3201 0321 0132 0321 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674845617313 0.494608600989 13 7 14 2 3012 0321 1023 0132 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 1 1 0 -5 4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372743224290 1.102775353733 3 3 12 16 0132 1230 1230 0132 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 4 0 0 -4 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540810365628 0.661195715499 14 3 11 14 3012 0132 0321 2310 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 5 0 0 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540639392567 0.992482896941 5 4 10 7 2310 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409191357669 0.496162428908 15 6 4 9 0132 3012 0132 3012 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813788626977 1.098692395410 16 16 5 8 0213 2103 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540810365628 0.661195715499 10 6 8 10 3201 0132 1023 1230 0 0 0 0 0 0 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 5 -5 -1 0 1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540639392567 0.992482896941 12 16 6 7 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 4 0 -4 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564673863787 0.587731874747 13 13 9 15 0213 2103 0132 3201 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 4 -4 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540810365628 0.661195715499 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_12'], 'c_1001_15' : d['c_0101_8'], 'c_1001_14' : d['c_0101_8'], 'c_1001_16' : d['c_0011_13'], 'c_1001_11' : d['c_0011_14'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_0011_16'], 'c_1001_12' : d['c_0011_14'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0011_16'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_14'], 'c_1010_13' : d['c_0101_8'], 'c_1010_12' : negation(d['c_0101_0']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_10']), 'c_1010_16' : negation(d['c_0101_8']), 'c_1010_15' : d['c_0011_8'], 'c_1010_14' : d['c_0101_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_3_15' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0011_13'], 'c_0101_15' : d['c_0011_12'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : negation(d['c_0011_12']), 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_1001_9']), 'c_1100_7' : d['c_0101_14'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : d['c_0101_14'], 'c_1100_14' : negation(d['c_0101_14']), 'c_1100_15' : d['c_0011_7'], 's_3_11' : d['1'], 'c_1100_16' : d['c_0011_12'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : d['c_0011_14'], 'c_1100_13' : negation(d['c_0011_11']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0011_16'], 'c_1010_4' : d['c_0011_14'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_2'], 's_0_14' : d['1'], 'c_1010_9' : d['c_0011_13'], 's_0_15' : d['1'], '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_1001_9']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0101_13' : d['c_0011_16'], 'c_0011_6' : negation(d['c_0011_14']), '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_7']), 'c_0110_10' : negation(d['c_0101_14']), 'c_0110_13' : d['c_0011_8'], 'c_0110_12' : d['c_0011_12'], 'c_0110_15' : d['c_0101_12'], 'c_0110_14' : d['c_0011_10'], 'c_0110_16' : negation(d['c_0011_8']), 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_7'], 'c_0110_0' : negation(d['c_0011_0']), 's_3_12' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_2'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_13'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_13'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0011_16'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0011_8']), 'c_1100_8' : d['c_0101_14']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0011_16, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_14, c_0101_8, c_1001_0, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 81131655611385/2534177311718*c_1001_9^5 - 114492551845572/1267088655859*c_1001_9^4 + 220916589101308/1267088655859*c_1001_9^3 - 427768867304565/2534177311718*c_1001_9^2 + 127786953004920/1267088655859*c_1001_9 + 95558370614040/1267088655859, c_0011_0 - 1, c_0011_10 + 13147515/19887443*c_1001_9^5 - 41093541/19887443*c_1001_9^4 + 86235228/19887443*c_1001_9^3 - 113425810/19887443*c_1001_9^2 + 101630128/19887443*c_1001_9 - 13182636/19887443, c_0011_11 - 16048206/19887443*c_1001_9^5 + 51082839/19887443*c_1001_9^4 - 111354606/19887443*c_1001_9^3 + 156320033/19887443*c_1001_9^2 - 132241186/19887443*c_1001_9 + 41378508/19887443, c_0011_12 + 25245702/19887443*c_1001_9^5 - 74010177/19887443*c_1001_9^4 + 165974177/19887443*c_1001_9^3 - 216221807/19887443*c_1001_9^2 + 200694552/19887443*c_1001_9 - 41830078/19887443, c_0011_13 - 100467/19887443*c_1001_9^5 - 5641740/19887443*c_1001_9^4 + 17491333/19887443*c_1001_9^3 - 29545692/19887443*c_1001_9^2 + 48048331/19887443*c_1001_9 - 33984025/19887443, c_0011_14 + 6928227/19887443*c_1001_9^5 - 25678494/19887443*c_1001_9^4 + 56611618/19887443*c_1001_9^3 - 86780313/19887443*c_1001_9^2 + 71268327/19887443*c_1001_9 - 28730355/19887443, c_0011_16 + 18139491/19887443*c_1001_9^5 - 56450430/19887443*c_1001_9^4 + 126977309/19887443*c_1001_9^3 - 168625132/19887443*c_1001_9^2 + 150106606/19887443*c_1001_9 - 39392888/19887443, c_0011_7 + 886923/19887443*c_1001_9^5 - 2144700/19887443*c_1001_9^4 + 9373258/19887443*c_1001_9^3 - 20951178/19887443*c_1001_9^2 + 20226145/19887443*c_1001_9 - 17984909/19887443, c_0011_8 - 10084419/19887443*c_1001_9^5 + 25072038/19887443*c_1001_9^4 - 63992829/19887443*c_1001_9^3 + 80852952/19887443*c_1001_9^2 - 68792068/19887443*c_1001_9 + 18436479/19887443, c_0101_0 - 13047048/19887443*c_1001_9^5 + 46735281/19887443*c_1001_9^4 - 103726561/19887443*c_1001_9^3 + 142971502/19887443*c_1001_9^2 - 149678459/19887443*c_1001_9 + 47166661/19887443, c_0101_10 + 7005744/19887443*c_1001_9^5 - 23201487/19887443*c_1001_9^4 + 56488201/19887443*c_1001_9^3 - 77142367/19887443*c_1001_9^2 + 78748834/19887443*c_1001_9 - 16533772/19887443, c_0101_12 + 10367217/19887443*c_1001_9^5 - 31558833/19887443*c_1001_9^4 + 77819144/19887443*c_1001_9^3 - 104093351/19887443*c_1001_9^2 + 108308671/19887443*c_1001_9 - 22679265/19887443, c_0101_14 + 4891509/19887443*c_1001_9^5 - 20998629/19887443*c_1001_9^4 + 58233414/19887443*c_1001_9^3 - 84745014/19887443*c_1001_9^2 + 96524809/19887443*c_1001_9 - 40306834/19887443, c_0101_8 - 18239958/19887443*c_1001_9^5 + 50808690/19887443*c_1001_9^4 - 109485976/19887443*c_1001_9^3 + 139079440/19887443*c_1001_9^2 - 102058275/19887443*c_1001_9 + 5408863/19887443, c_1001_0 + 8233056/19887443*c_1001_9^5 - 23259645/19887443*c_1001_9^4 + 45369730/19887443*c_1001_9^3 - 48588542/19887443*c_1001_9^2 + 40746714/19887443*c_1001_9 + 5336756/19887443, c_1001_2 + 3927069/19887443*c_1001_9^5 - 21330936/19887443*c_1001_9^4 + 48983573/19887443*c_1001_9^3 - 73431782/19887443*c_1001_9^2 + 68818157/19887443*c_1001_9 - 14631065/19887443, c_1001_9^6 - 11/3*c_1001_9^5 + 233/27*c_1001_9^4 - 115/9*c_1001_9^3 + 353/27*c_1001_9^2 - 151/27*c_1001_9 + 29/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6004.780 Total time: 6004.989 seconds, Total memory usage: 10544.03MB