Magma V2.19-8 Tue Aug 20 2013 23:38:19 on localhost [Seed = 4020865984] Type ? for help. Type -D to quit. Loading file "K13n2066__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2066 geometric_solution 8.57490026 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349225478267 0.416744143276 0 5 7 6 0132 0132 0132 0132 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 1 0 -1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153197926706 0.556106870588 3 0 5 8 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 0 0 0 0 0 0 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 0.818724024703 1.409661880172 2 8 5 0 0132 0132 1023 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818724024703 1.409661880172 7 9 0 8 0132 0132 0132 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.020610606645 1.282602580378 6 1 3 2 0132 0132 1023 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 -1 0 1 0 6 -6 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017196848303 0.776358079395 5 8 1 9 0132 1023 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 0 0 0 1 0 0 -1 -1 0 0 1 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153197926706 0.556106870588 4 9 9 1 0132 0321 2103 0132 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 1 0 0 0 0 0 0 -6 0 6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927120889695 0.558842771976 6 3 2 4 1023 0132 0132 1023 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 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349225478267 0.416744143276 7 4 6 7 2103 0132 0132 0321 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 1 -1 -1 -5 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927120889695 0.558842771976 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0110_8'], 'c_1001_8' : d['c_1001_0'], 's_2_8' : negation(d['1']), 's_2_9' : 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' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_1100_0']), 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0101_5'], 's_3_1' : negation(d['1']), 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_3'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0110_8'], '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_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_8, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 35775050221762457/1041881301861400*c_1100_0^10 + 55032890116880523/1041881301861400*c_1100_0^9 + 1285957508231401/5953607439208*c_1100_0^8 - 43859109295944791/260470325465350*c_1100_0^7 + 9588715872430393/1041881301861400*c_1100_0^6 - 791750684833220613/1041881301861400*c_1100_0^5 + 2222063700377643721/520940650930700*c_1100_0^4 + 5001813703480071669/520940650930700*c_1100_0^3 + 20821273888329471083/1041881301861400*c_1100_0^2 + 2204755096508619103/148840185980200*c_1100_0 + 1762841868845831981/260470325465350, c_0011_0 - 1, c_0011_4 - 788276543/57246225377*c_1100_0^10 - 1794599971/57246225377*c_1100_0^9 - 4278965586/57246225377*c_1100_0^8 + 480087864/57246225377*c_1100_0^7 + 8467682889/57246225377*c_1100_0^6 + 5012159399/57246225377*c_1100_0^5 - 82554667207/57246225377*c_1100_0^4 - 285052805249/57246225377*c_1100_0^3 - 459358203107/57246225377*c_1100_0^2 - 396196357461/57246225377*c_1100_0 - 133032580293/57246225377, c_0101_0 + 1392459888/57246225377*c_1100_0^10 + 1614977029/57246225377*c_1100_0^9 + 5531038087/57246225377*c_1100_0^8 - 6774594765/57246225377*c_1100_0^7 - 7173079812/57246225377*c_1100_0^6 + 1957229579/57246225377*c_1100_0^5 + 139282208290/57246225377*c_1100_0^4 + 342781186213/57246225377*c_1100_0^3 + 435783312651/57246225377*c_1100_0^2 + 305197292932/57246225377*c_1100_0 + 115294148482/57246225377, c_0101_1 - 370901973/57246225377*c_1100_0^10 - 2491952201/57246225377*c_1100_0^9 - 1000995106/57246225377*c_1100_0^8 - 6501071671/57246225377*c_1100_0^7 + 21954836903/57246225377*c_1100_0^6 - 16596182943/57246225377*c_1100_0^5 - 29941147630/57246225377*c_1100_0^4 - 293295653073/57246225377*c_1100_0^3 - 340118270479/57246225377*c_1100_0^2 - 316137460798/57246225377*c_1100_0 - 127977591957/57246225377, c_0101_3 - 1392459888/57246225377*c_1100_0^10 - 1614977029/57246225377*c_1100_0^9 - 5531038087/57246225377*c_1100_0^8 + 6774594765/57246225377*c_1100_0^7 + 7173079812/57246225377*c_1100_0^6 - 1957229579/57246225377*c_1100_0^5 - 139282208290/57246225377*c_1100_0^4 - 342781186213/57246225377*c_1100_0^3 - 435783312651/57246225377*c_1100_0^2 - 305197292932/57246225377*c_1100_0 - 115294148482/57246225377, c_0101_5 + 799040774/57246225377*c_1100_0^10 + 1724228928/57246225377*c_1100_0^9 + 2988679883/57246225377*c_1100_0^8 - 2112911635/57246225377*c_1100_0^7 - 10636510212/57246225377*c_1100_0^6 + 2862035999/57246225377*c_1100_0^5 + 96536648413/57246225377*c_1100_0^4 + 260960014644/57246225377*c_1100_0^3 + 329406358189/57246225377*c_1100_0^2 + 119982506368/57246225377*c_1100_0 - 1263742149/57246225377, c_0110_8 + 370901973/57246225377*c_1100_0^10 + 2491952201/57246225377*c_1100_0^9 + 1000995106/57246225377*c_1100_0^8 + 6501071671/57246225377*c_1100_0^7 - 21954836903/57246225377*c_1100_0^6 + 16596182943/57246225377*c_1100_0^5 + 29941147630/57246225377*c_1100_0^4 + 293295653073/57246225377*c_1100_0^3 + 340118270479/57246225377*c_1100_0^2 + 316137460798/57246225377*c_1100_0 + 127977591957/57246225377, c_1001_0 + 1406471659/57246225377*c_1100_0^10 - 812044080/57246225377*c_1100_0^9 + 6251692738/57246225377*c_1100_0^8 - 17017966958/57246225377*c_1100_0^7 + 17969316469/57246225377*c_1100_0^6 - 17334985871/57246225377*c_1100_0^5 + 153150419709/57246225377*c_1100_0^4 + 94589119177/57246225377*c_1100_0^3 + 172852669166/57246225377*c_1100_0^2 + 405889245/57246225377*c_1100_0 + 10880058131/57246225377, c_1001_1 - 799040774/57246225377*c_1100_0^10 - 1724228928/57246225377*c_1100_0^9 - 2988679883/57246225377*c_1100_0^8 + 2112911635/57246225377*c_1100_0^7 + 10636510212/57246225377*c_1100_0^6 - 2862035999/57246225377*c_1100_0^5 - 96536648413/57246225377*c_1100_0^4 - 260960014644/57246225377*c_1100_0^3 - 329406358189/57246225377*c_1100_0^2 - 119982506368/57246225377*c_1100_0 + 1263742149/57246225377, c_1100_0^11 + 2*c_1100_0^10 + 7*c_1100_0^9 - 2*c_1100_0^8 - 2*c_1100_0^7 - 22*c_1100_0^6 + 114*c_1100_0^5 + 337*c_1100_0^4 + 711*c_1100_0^3 + 700*c_1100_0^2 + 396*c_1100_0 + 91 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB