Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 3987501185] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3117 geometric_solution 6.27327846 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.779774188364 0.821425155631 0 3 5 5 0132 2031 3201 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 0 0 0 0 1 -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 0.705819930229 0.508411516185 2 0 2 3 2310 0132 3201 1302 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 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 -0.409444542788 0.853541058727 1 6 2 0 1302 0132 2031 0132 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 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 0.392125001954 0.640344117983 6 6 0 5 0321 2310 0132 2031 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 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 0.935689968503 0.748917558835 1 4 1 6 2310 1302 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 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 0.527355130433 0.417252809223 4 3 5 4 0321 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113820387283 1.325486624794 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(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_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0011_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), '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_2']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1050060764563051045/62972697855292236*c_1001_0^17 + 4446801593099697583/41981798570194824*c_1001_0^16 + 6987444920550547987/41981798570194824*c_1001_0^15 - 25893125746647915331/20990899285097412*c_1001_0^14 + 1535673332614937930/1431197678529369*c_1001_0^13 - 501047983468747325/31486348927646118*c_1001_0^12 + 215911265647753306057/125945395710584472*c_1001_0^11 - 170857926596711456789/125945395710584472*c_1001_0^10 - 1381185125186458733/1749241607091451*c_1001_0^9 - 77126043546506602895/62972697855292236*c_1001_0^8 + 14030486251274137525/62972697855292236*c_1001_0^7 + 629011981510649579/636087857124164*c_1001_0^6 + 9197175527336996729/31486348927646118*c_1001_0^5 - 22498034220381215681/62972697855292236*c_1001_0^4 - 21483591157349594065/125945395710584472*c_1001_0^3 + 11548037624096602381/31486348927646118*c_1001_0^2 + 3932504170201336311/13993932856731608*c_1001_0 + 6592130644143212395/125945395710584472, c_0011_0 - 1, c_0011_3 + 5757409795219529/41981798570194824*c_1001_0^17 - 4196430965557208/5247724821274353*c_1001_0^16 - 75344570670055207/41981798570194824*c_1001_0^15 + 193845963224326423/20990899285097412*c_1001_0^14 - 2338756424838645/636087857124164*c_1001_0^13 - 100517232040439029/41981798570194824*c_1001_0^12 - 365692414427454115/20990899285097412*c_1001_0^11 + 98221809527199151/13993932856731608*c_1001_0^10 + 49110521540916365/6996966428365804*c_1001_0^9 + 202568608790678287/10495449642548706*c_1001_0^8 - 564484890688100/5247724821274353*c_1001_0^7 - 11567442797331169/1908263571372492*c_1001_0^6 - 28353283475971105/3498483214182902*c_1001_0^5 + 52514656583577313/41981798570194824*c_1001_0^4 + 195512460889559087/41981798570194824*c_1001_0^3 - 117781535009417303/41981798570194824*c_1001_0^2 - 30296891060941235/10495449642548706*c_1001_0 - 29107770101637309/13993932856731608, c_0011_4 - 20963808756779239/41981798570194824*c_1001_0^17 + 16798739965015933/5247724821274353*c_1001_0^16 + 193487798992079417/41981798570194824*c_1001_0^15 - 752340422321117297/20990899285097412*c_1001_0^14 + 22224787815927795/636087857124164*c_1001_0^13 - 735875696375831533/41981798570194824*c_1001_0^12 + 1626315114754589801/20990899285097412*c_1001_0^11 - 888208700213100129/13993932856731608*c_1001_0^10 + 74079648892510145/6996966428365804*c_1001_0^9 - 795356688184616765/10495449642548706*c_1001_0^8 + 144252024667647613/5247724821274353*c_1001_0^7 + 12495803448298475/1908263571372492*c_1001_0^6 + 92619185449845591/3498483214182902*c_1001_0^5 - 416092740663373775/41981798570194824*c_1001_0^4 - 198370497680288161/41981798570194824*c_1001_0^3 + 307766633177602297/41981798570194824*c_1001_0^2 + 94777757169576001/10495449642548706*c_1001_0 + 66070653701116123/13993932856731608, c_0101_0 + 4385371894353049/5247724821274353*c_1001_0^17 - 112491191584388513/20990899285097412*c_1001_0^16 - 164622948909188471/20990899285097412*c_1001_0^15 + 641024513358047891/10495449642548706*c_1001_0^14 - 9290194318672078/159021964281041*c_1001_0^13 + 188741719357120001/10495449642548706*c_1001_0^12 - 2247113144665071649/20990899285097412*c_1001_0^11 + 602134240862031701/6996966428365804*c_1001_0^10 + 18172380097625803/1749241607091451*c_1001_0^9 + 958355276914134151/10495449642548706*c_1001_0^8 - 279694935140924551/10495449642548706*c_1001_0^7 - 28727338121213939/954131785686246*c_1001_0^6 - 49177468370322912/1749241607091451*c_1001_0^5 + 88971211406805722/5247724821274353*c_1001_0^4 + 118834105721411647/20990899285097412*c_1001_0^3 - 141168350914609331/10495449642548706*c_1001_0^2 - 305712489279259987/20990899285097412*c_1001_0 - 36532377756389903/6996966428365804, c_0101_1 - 5757409795219529/41981798570194824*c_1001_0^17 + 4196430965557208/5247724821274353*c_1001_0^16 + 75344570670055207/41981798570194824*c_1001_0^15 - 193845963224326423/20990899285097412*c_1001_0^14 + 2338756424838645/636087857124164*c_1001_0^13 + 100517232040439029/41981798570194824*c_1001_0^12 + 365692414427454115/20990899285097412*c_1001_0^11 - 98221809527199151/13993932856731608*c_1001_0^10 - 49110521540916365/6996966428365804*c_1001_0^9 - 202568608790678287/10495449642548706*c_1001_0^8 + 564484890688100/5247724821274353*c_1001_0^7 + 11567442797331169/1908263571372492*c_1001_0^6 + 28353283475971105/3498483214182902*c_1001_0^5 - 52514656583577313/41981798570194824*c_1001_0^4 - 195512460889559087/41981798570194824*c_1001_0^3 + 117781535009417303/41981798570194824*c_1001_0^2 + 30296891060941235/10495449642548706*c_1001_0 + 29107770101637309/13993932856731608, c_0101_2 + 1203638404555/1699805594388*c_1001_0^17 - 15556744515589/3399611188776*c_1001_0^16 - 21795630343237/3399611188776*c_1001_0^15 + 88391986694893/1699805594388*c_1001_0^14 - 669622532827/12877315109*c_1001_0^13 + 7839450210301/424951398597*c_1001_0^12 - 319005561346985/3399611188776*c_1001_0^11 + 91402108869243/1133203729592*c_1001_0^10 + 343823390624/141650466199*c_1001_0^9 + 134200190631803/1699805594388*c_1001_0^8 - 48390682484861/1699805594388*c_1001_0^7 - 3675649951279/154527781308*c_1001_0^6 - 5943075473219/283300932398*c_1001_0^5 + 25279589870927/1699805594388*c_1001_0^4 + 21539983241141/3399611188776*c_1001_0^3 - 5699642423524/424951398597*c_1001_0^2 - 39633820160807/3399611188776*c_1001_0 - 4675334461557/1133203729592, c_1001_0^18 - 6*c_1001_0^17 - 12*c_1001_0^16 + 69*c_1001_0^15 - 40*c_1001_0^14 - 5*c_1001_0^13 - 122*c_1001_0^12 + 52*c_1001_0^11 + 51*c_1001_0^10 + 116*c_1001_0^9 + 14*c_1001_0^8 - 48*c_1001_0^7 - 46*c_1001_0^6 + 5*c_1001_0^5 + 17*c_1001_0^4 - 14*c_1001_0^3 - 24*c_1001_0^2 - 14*c_1001_0 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB