Magma V2.19-8 Tue Aug 20 2013 23:30:36 on localhost [Seed = 3751393772] Type ? for help. Type -D to quit. Loading file "L14a21817__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a21817 geometric_solution 6.35120520 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 8 1 2 1 2 0132 0132 2310 2310 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 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 -0.884885986932 0.709484238259 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 0.412683832590 0.043757061436 0 0 4 3 3201 0132 0132 0132 1 1 1 1 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 3 -3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597737124600 1.775261042336 5 4 2 5 0132 2031 0132 2031 1 1 0 1 0 0 0 0 1 0 -1 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 -3 0 3 0 -1 -1 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541433858091 0.622592578025 3 6 6 2 1302 0132 1302 0132 1 1 1 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 2 -3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541433858091 0.622592578025 3 3 6 7 0132 1302 0132 0132 1 1 1 0 0 0 0 0 -1 0 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 3 0 -1 -2 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204676828614 0.914538860540 4 4 7 5 2031 0132 3201 0132 1 1 0 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 -1 0 0 1 1 0 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204676828614 0.914538860540 6 7 5 7 2310 1302 0132 2031 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 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 0.386582294403 1.159258390658 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], '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_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_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_1100_6' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_0011_7']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_6'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : 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_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_5'], 'c_1010_7' : d['c_0011_7'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3230450411561056/18677691994325*c_0101_6^10 + 88870564669451241/205454611937575*c_0101_6^9 + 23418306323165547/205454611937575*c_0101_6^8 + 45029713098449614/29350658848225*c_0101_6^7 + 87786030779799433/29350658848225*c_0101_6^6 - 80343952869114477/205454611937575*c_0101_6^5 - 537157646604659037/205454611937575*c_0101_6^4 - 258794337199475139/205454611937575*c_0101_6^3 + 917455696425592323/205454611937575*c_0101_6^2 - 1670673414166028/632168036731*c_0101_6 + 151199967915157916/205454611937575, c_0011_0 - 1, c_0011_3 - 1, c_0011_7 + 327422186267/9712399837049*c_0101_6^10 - 241019409921/9712399837049*c_0101_6^9 - 400624822537/1387485691007*c_0101_6^8 + 1275747931958/9712399837049*c_0101_6^7 - 3665747288894/9712399837049*c_0101_6^6 - 21626549561817/9712399837049*c_0101_6^5 - 7113561477739/9712399837049*c_0101_6^4 + 18338366483302/9712399837049*c_0101_6^3 + 24750723341571/9712399837049*c_0101_6^2 - 23966574550655/9712399837049*c_0101_6 + 4972679466823/9712399837049, c_0101_0 + 3831207805865/9712399837049*c_0101_6^10 + 11601366534306/9712399837049*c_0101_6^9 + 1262675468343/1387485691007*c_0101_6^8 + 39100707782385/9712399837049*c_0101_6^7 + 86176165111447/9712399837049*c_0101_6^6 + 37773143479026/9712399837049*c_0101_6^5 - 34556336079556/9712399837049*c_0101_6^4 - 54482305514292/9712399837049*c_0101_6^3 + 64026604340675/9712399837049*c_0101_6^2 - 25722182331095/9712399837049*c_0101_6 + 13740163367373/9712399837049, c_0101_1 + 457498580/979171271*c_0101_6^10 + 1378428711/979171271*c_0101_6^9 + 1042745191/979171271*c_0101_6^8 + 4635905910/979171271*c_0101_6^7 + 10227682698/979171271*c_0101_6^6 + 340480264/75320867*c_0101_6^5 - 4568175270/979171271*c_0101_6^4 - 6203989373/979171271*c_0101_6^3 + 7510493370/979171271*c_0101_6^2 - 3162572870/979171271*c_0101_6 + 1090852700/979171271, c_0101_3 - 1250595885891/9712399837049*c_0101_6^10 - 4239492019274/9712399837049*c_0101_6^9 - 554542162725/1387485691007*c_0101_6^8 - 12981308441009/9712399837049*c_0101_6^7 - 32831615678936/9712399837049*c_0101_6^6 - 19811387875698/9712399837049*c_0101_6^5 + 11914999252771/9712399837049*c_0101_6^4 + 19284185833364/9712399837049*c_0101_6^3 - 23120507210345/9712399837049*c_0101_6^2 + 4483018431910/9712399837049*c_0101_6 + 4702546795538/9712399837049, c_0101_5 - 1024800332226/9712399837049*c_0101_6^10 - 3051416124095/9712399837049*c_0101_6^9 - 162682694383/1387485691007*c_0101_6^8 - 6972701215316/9712399837049*c_0101_6^7 - 19695021164761/9712399837049*c_0101_6^6 + 2183805936301/9712399837049*c_0101_6^5 + 34999272913091/9712399837049*c_0101_6^4 + 25551302815456/9712399837049*c_0101_6^3 - 24435898721343/9712399837049*c_0101_6^2 - 9043417643311/9712399837049*c_0101_6 + 6621623032379/9712399837049, c_0101_6^11 + 25/11*c_0101_6^10 + 1/11*c_0101_6^9 + 96/11*c_0101_6^8 + 168/11*c_0101_6^7 - 68/11*c_0101_6^6 - 160/11*c_0101_6^5 - 42/11*c_0101_6^4 + 302/11*c_0101_6^3 - 233/11*c_0101_6^2 + 86/11*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB