Magma V2.19-8 Wed Aug 21 2013 01:07:30 on localhost [Seed = 2160499089] Type ? for help. Type -D to quit. Loading file "L14n33478__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33478 geometric_solution 12.68808934 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 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 1 0 -1 -1 0 -1 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 0.171858702937 0.926032908270 0 3 6 5 0132 0213 0132 0132 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 0 0 0 0 0 0 0 0 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 0.277936572773 1.150313622594 7 0 9 8 0132 0132 0132 0132 1 1 0 1 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 -1 0 1 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 0.132598317819 0.913963536517 7 9 1 0 1302 0132 0213 0132 1 0 0 1 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 -1 0 0 1 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277936572773 1.150313622594 10 6 0 5 0132 0132 0132 0321 1 0 1 1 0 0 0 0 0 0 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 1 -1 0 0 -2 2 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132598317819 0.913963536517 8 4 1 11 0213 0321 0132 0132 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 1 -1 1 -3 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268988634288 0.742477644461 12 4 9 1 0132 0132 1302 0132 1 0 1 1 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 -1 0 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264816887498 1.197131742973 2 3 10 12 0132 2031 0321 1023 0 1 1 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 2 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568671289497 1.190577906052 5 10 2 12 0213 2310 0132 3012 1 1 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 -1 1 -1 0 0 1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431545593400 0.915290989290 6 3 11 2 2031 0132 2031 0132 1 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264816887498 1.197131742973 4 11 7 8 0132 1023 0321 3201 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 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 0.431545593400 0.915290989290 10 12 5 9 1023 0132 0132 1302 1 0 1 1 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 -1 0 1 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264816887498 1.197131742973 6 11 8 7 0132 0132 1230 1023 1 0 1 1 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 -2 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372505156491 0.606566907853 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_11']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : negation(d['c_0110_11']), 'c_1010_12' : d['c_0101_2'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_5']), '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_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' : 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_9' : negation(d['c_1001_12']), 'c_1100_8' : negation(d['c_1001_12']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_1001_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_11']), 'c_1010_2' : negation(d['c_0110_11']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : negation(d['c_0101_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_0101_11']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_8, c_0101_1, c_0101_11, c_0101_2, c_0101_9, c_0110_11, c_1001_1, c_1001_12, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 5889612643519247/5058084999092500*c_1001_12^8 - 42664013084193019/10116169998185000*c_1001_12^7 - 429401248299333447/4046467999274000*c_1001_12^6 - 908403594573583829/4046467999274000*c_1001_12^5 - 8717801943162331669/40464679992740000*c_1001_12^4 - 3634994390072603633/40464679992740000*c_1001_12^3 + 2553881091363101803/20232339996370000*c_1001_12^2 + 2120516166134486021/10116169998185000*c_1001_12 + 1756468402485196059/20232339996370000, c_0011_0 - 1, c_0011_10 - c_1001_12, c_0011_3 + 388981979456/2023233999637*c_1001_12^8 + 1056061977652/2023233999637*c_1001_12^7 + 34642940641494/2023233999637*c_1001_12^6 + 44181503913425/2023233999637*c_1001_12^5 + 45949560652527/2023233999637*c_1001_12^4 + 23526348573001/2023233999637*c_1001_12^3 - 15893695961661/2023233999637*c_1001_12^2 - 7005623200385/2023233999637*c_1001_12 + 3760110185547/2023233999637, c_0011_5 + 23316740616/2023233999637*c_1001_12^8 + 39954231768/2023233999637*c_1001_12^7 + 2090763765508/2023233999637*c_1001_12^6 + 780305777953/2023233999637*c_1001_12^5 + 7028859160739/2023233999637*c_1001_12^4 + 7549409538840/2023233999637*c_1001_12^3 + 8337179140928/2023233999637*c_1001_12^2 + 3897155254468/2023233999637*c_1001_12 - 1809956311962/2023233999637, c_0011_8 - 1, c_0101_1 + 201647073980/2023233999637*c_1001_12^8 + 551424964466/2023233999637*c_1001_12^7 + 17983713523539/2023233999637*c_1001_12^6 + 23308243772013/2023233999637*c_1001_12^5 + 25532792378471/2023233999637*c_1001_12^4 + 15342792216407/2023233999637*c_1001_12^3 - 7864231385316/2023233999637*c_1001_12^2 - 4482588306267/2023233999637*c_1001_12 + 861440662947/2023233999637, c_0101_11 - 621042942172/2023233999637*c_1001_12^8 - 1834290075210/2023233999637*c_1001_12^7 - 55723273988671/2023233999637*c_1001_12^6 - 83879472970235/2023233999637*c_1001_12^5 - 91405046696367/2023233999637*c_1001_12^4 - 66174105466261/2023233999637*c_1001_12^3 + 5337051728275/2023233999637*c_1001_12^2 + 10404398416519/2023233999637*c_1001_12 - 4968995885238/2023233999637, c_0101_2 - 811872049048/2023233999637*c_1001_12^8 - 2413657656932/2023233999637*c_1001_12^7 - 72852764623342/2023233999637*c_1001_12^6 - 110921669247622/2023233999637*c_1001_12^5 - 118079110118570/2023233999637*c_1001_12^4 - 81135976501577/2023233999637*c_1001_12^3 + 9561402749875/2023233999637*c_1001_12^2 + 16222956571689/2023233999637*c_1001_12 - 6348239032280/2023233999637, c_0101_9 - 388981979456/2023233999637*c_1001_12^8 - 1056061977652/2023233999637*c_1001_12^7 - 34642940641494/2023233999637*c_1001_12^6 - 44181503913425/2023233999637*c_1001_12^5 - 45949560652527/2023233999637*c_1001_12^4 - 23526348573001/2023233999637*c_1001_12^3 + 15893695961661/2023233999637*c_1001_12^2 + 7005623200385/2023233999637*c_1001_12 - 3760110185547/2023233999637, c_0110_11 + 201647073980/2023233999637*c_1001_12^8 + 551424964466/2023233999637*c_1001_12^7 + 17983713523539/2023233999637*c_1001_12^6 + 23308243772013/2023233999637*c_1001_12^5 + 25532792378471/2023233999637*c_1001_12^4 + 15342792216407/2023233999637*c_1001_12^3 - 7864231385316/2023233999637*c_1001_12^2 - 4482588306267/2023233999637*c_1001_12 + 861440662947/2023233999637, c_1001_1 - 187334905476/2023233999637*c_1001_12^8 - 504637013186/2023233999637*c_1001_12^7 - 16659227117955/2023233999637*c_1001_12^6 - 20873260141412/2023233999637*c_1001_12^5 - 20416768274056/2023233999637*c_1001_12^4 - 8183556356594/2023233999637*c_1001_12^3 + 8029464576345/2023233999637*c_1001_12^2 + 2523034894118/2023233999637*c_1001_12 - 2898669522600/2023233999637, c_1001_12^9 + 7/2*c_1001_12^8 + 365/4*c_1001_12^7 + 735/4*c_1001_12^6 + 851/4*c_1001_12^5 + 168*c_1001_12^4 + 53/2*c_1001_12^3 - 73/2*c_1001_12^2 - 3*c_1001_12 + 5, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB