Magma V2.19-8 Tue Aug 20 2013 17:57:16 on localhost [Seed = 762091821] Type ? for help. Type -D to quit. Loading file "9^2_11__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_11 geometric_solution 10.75904664 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 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 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594258740486 0.447679430242 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 -1 1 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 -3 3 0 0 0 0 0 -1 0 0 1 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113332650301 2.001584935192 0 0 6 5 3012 0132 0132 2310 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 -1 1 0 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.111489427829 1.226375040997 7 8 7 0 0132 0132 3120 0132 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 -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 0.229820673646 0.989833657537 1 1 9 10 2031 0132 0132 0132 1 1 0 1 0 1 -1 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 0 0 0 0 3 -3 0 -3 0 0 3 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971802092512 0.498007473420 2 11 1 8 3201 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143047538084 0.516315298320 10 10 8 2 1230 2031 2031 0132 1 1 0 1 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 1 -1 0 0 0 0 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871826823436 0.818245568916 3 11 3 9 0132 3012 3120 3012 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 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 0.229820673646 0.989833657537 9 3 5 6 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466085563922 1.265924999158 8 11 7 4 0132 0321 1230 0132 1 1 1 1 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 1 3 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 1.090338549456 0.895819803256 6 6 4 11 1302 3012 0132 0132 1 1 1 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 4 0 -3 -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 0.871826823436 0.818245568916 7 5 10 9 1230 0132 0132 0321 1 1 1 1 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 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 0.768177402796 0.365433762238 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0101_6']), '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_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_11'], '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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_4'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_6, c_0101_0, c_0101_11, c_0101_3, c_0101_4, c_0101_6, c_0110_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 13302287973833/5063831593533*c_1001_4^10 - 5986028283833/562647954837*c_1001_4^9 + 147469240178243/5063831593533*c_1001_4^8 - 1775313781840/56896984197*c_1001_4^7 + 123114066607078/5063831593533*c_1001_4^6 + 256268846330143/5063831593533*c_1001_4^5 + 520184014962559/5063831593533*c_1001_4^4 - 152528861268602/1687943864511*c_1001_4^3 + 584087662390889/5063831593533*c_1001_4^2 - 139969237364225/5063831593533*c_1001_4 - 607843822108/54449802081, c_0011_0 - 1, c_0011_10 - 82902478/54449802081*c_1001_4^10 + 369319946/6049978009*c_1001_4^9 - 10952683345/54449802081*c_1001_4^\ 8 + 283058099/611795529*c_1001_4^7 - 12531063962/54449802081*c_1001_4^6 + 790837738/54449802081*c_1001_4^5 + 68098903990/54449802081*c_1001_4^4 + 54847971445/18149934027*c_1001_4^3 - 41476445422/54449802081*c_1001_4^2 + 35816326345/54449802081*c_1001_4 + 18085813583/18149934027, c_0011_11 + 3423657701/54449802081*c_1001_4^10 - 994916527/6049978009*c_1001_4^9 + 21386091569/54449802081*c_1001_4^\ 8 + 19508405/611795529*c_1001_4^7 + 3473770654/54449802081*c_1001_4^6 + 90903557341/54449802081*c_1001_4^5 + 239288690773/54449802081*c_1001_4^4 + 48788238175/18149934027*c_1001_4^3 + 147339240254/54449802081*c_1001_4^2 + 129000345835/54449802081*c_1001_4 + 236858378/18149934027, c_0011_3 - 578002205/54449802081*c_1001_4^10 + 365293667/6049978009*c_1001_4^9 - 7971173420/54449802081*c_1001_4^8 + 109697908/611795529*c_1001_4^7 + 1677070592/54449802081*c_1001_4^6 - 11340464761/54449802081*c_1001_4^5 + 1809797264/54449802081*c_1001_4^4 + 36503996501/18149934027*c_1001_4^3 + 61838317468/54449802081*c_1001_4^2 + 68143312526/54449802081*c_1001_4 + 4016830870/18149934027, c_0011_6 + 814914233/54449802081*c_1001_4^10 - 514809850/6049978009*c_1001_4^9 + 11996379281/54449802081*c_1001_4^\ 8 - 174848020/611795529*c_1001_4^7 + 122064862/54449802081*c_1001_4^6 + 21964485424/54449802081*c_1001_4^5 - 2647583132/54449802081*c_1001_4^4 - 47663777837/18149934027*c_1001_4^3 - 18652193221/54449802081*c_1001_4^2 - 14358572687/54449802081*c_1001_4 - 16021810588/18149934027, c_0101_0 - 1, c_0101_11 - 2260257847/54449802081*c_1001_4^10 + 637675261/6049978009*c_1001_4^9 - 13112889052/54449802081*c_1001_4^\ 8 - 33118060/611795529*c_1001_4^7 - 2824237304/54449802081*c_1001_4^6 - 51274372202/54449802081*c_1001_4^5 - 167937619769/54449802081*c_1001_4^4 - 34197540101/18149934027*c_1001_4^3 - 56623983994/54449802081*c_1001_4^2 - 68367306002/54449802081*c_1001_4 - 15773103154/18149934027, c_0101_3 - 382586482/54449802081*c_1001_4^10 - 33659861/6049978009*c_1001_4^9 + 1961407649/54449802081*c_1001_4^8 - 122530741/611795529*c_1001_4^7 + 4231768486/54449802081*c_1001_4^6 - 10564258145/54449802081*c_1001_4^5 - 64807004723/54449802081*c_1001_4^4 - 27746139902/18149934027*c_1001_4^3 - 9628991671/54449802081*c_1001_4^2 - 80996086613/54449802081*c_1001_4 - 16824234832/18149934027, c_0101_4 + 814914233/54449802081*c_1001_4^10 - 514809850/6049978009*c_1001_4^9 + 11996379281/54449802081*c_1001_4^\ 8 - 174848020/611795529*c_1001_4^7 + 122064862/54449802081*c_1001_4^6 + 21964485424/54449802081*c_1001_4^5 - 2647583132/54449802081*c_1001_4^4 - 47663777837/18149934027*c_1001_4^3 - 18652193221/54449802081*c_1001_4^2 - 68808374768/54449802081*c_1001_4 - 16021810588/18149934027, c_0101_6 + 3226186969/54449802081*c_1001_4^10 - 823211939/6049978009*c_1001_4^9 + 16567117510/54449802081*c_1001_4^\ 8 + 120431146/611795529*c_1001_4^7 - 220793050/54449802081*c_1001_4^6 + 81520653086/54449802081*c_1001_4^5 + 259092768005/54449802081*c_1001_4^4 + 66204778850/18149934027*c_1001_4^3 + 124700710627/54449802081*c_1001_4^2 + 181237131716/54449802081*c_1001_4 + 25729812358/18149934027, c_0110_5 - 82902478/54449802081*c_1001_4^10 + 369319946/6049978009*c_1001_4^9 - 10952683345/54449802081*c_1001_4^\ 8 + 283058099/611795529*c_1001_4^7 - 12531063962/54449802081*c_1001_4^6 + 790837738/54449802081*c_1001_4^5 + 68098903990/54449802081*c_1001_4^4 + 54847971445/18149934027*c_1001_4^3 - 41476445422/54449802081*c_1001_4^2 + 35816326345/54449802081*c_1001_4 - 64120444/18149934027, c_1001_4^11 - 3*c_1001_4^10 + 7*c_1001_4^9 - c_1001_4^8 - c_1001_4^7 + 26*c_1001_4^6 + 62*c_1001_4^5 + 9*c_1001_4^4 + 13*c_1001_4^3 + 26*c_1001_4^2 - 3*c_1001_4 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB