Magma V2.19-8 Wed Aug 21 2013 01:07:33 on localhost [Seed = 2834215358] Type ? for help. Type -D to quit. Loading file "L14n33482__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33482 geometric_solution 12.68808934 oriented_manifold CS_known 0.0000000000000001 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 -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 -1 1 0 0 -2 2 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568454406600 0.915290989290 0 5 7 6 0132 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 0 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 -1 0 1 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193736960476 1.043920371111 8 0 10 9 0132 0132 0132 0132 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 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 0.627494843509 0.606566907853 7 10 11 0 0132 1230 0132 0132 1 0 0 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 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 0.431328710503 1.190577906052 11 12 0 9 0132 0132 0132 0213 1 0 1 1 0 0 0 0 0 0 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 1 -1 0 0 0 -2 2 -1 0 0 1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453679237843 0.575647091896 7 1 9 12 2103 0132 1302 3120 1 0 1 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 1 0 0 -1 1 -1 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198459473799 0.821376740621 9 11 1 10 1302 3201 0132 2310 1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568454406600 0.915290989290 3 8 5 1 0132 2103 2103 0132 1 0 1 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 1 0 -1 0 0 -7 0 7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198459473799 0.821376740621 2 7 12 11 0132 2103 0321 2031 1 1 1 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 7 -1 -6 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 0.627494843509 0.606566907853 5 6 2 4 2031 2031 0132 0213 1 1 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 0 0 0 0 0 1 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731011365712 0.742477644461 6 12 3 2 3201 0321 3012 0132 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 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 0.627494843509 0.606566907853 4 8 6 3 0132 1302 2310 0132 1 0 1 1 0 0 0 0 0 0 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 -1 1 -6 6 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453679237843 0.575647091896 5 4 8 10 3120 0132 0321 0321 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 0 0 0 0 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 0 0 0 0.735183112502 1.197131742973 ==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' : negation(d['c_0011_3']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : d['c_1001_2'], 's_3_11' : 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' : d['c_0101_10'], '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' : d['c_1001_12'], 'c_1100_8' : d['c_1001_12'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_1001_12'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_1001_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], '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'], 'c_1100_12' : negation(d['c_0011_3']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : d['c_0101_1'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_9']), 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(d['c_0101_12']), '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' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_9']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_9']), 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_10'])})} 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_11, c_0011_3, c_0011_6, c_0011_9, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 448752586794598341/10116169998185000*c_1001_2^8 - 2448716786446334007/20232339996370000*c_1001_2^7 + 31914076805170256441/8092935998548000*c_1001_2^6 - 41062584041970513437/8092935998548000*c_1001_2^5 + 183356206431987217791/40464679992740000*c_1001_2^4 - 93509411917318353087/40464679992740000*c_1001_2^3 - 11775675780430280523/5058084999092500*c_1001_2^2 + 2462721111222656811/2529042499546250*c_1001_2 + 17590706027519573999/20232339996370000, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 187334905476/2023233999637*c_1001_2^8 - 504637013186/2023233999637*c_1001_2^7 + 16659227117955/2023233999637*c_1001_2^6 - 20873260141412/2023233999637*c_1001_2^5 + 20416768274056/2023233999637*c_1001_2^4 - 8183556356594/2023233999637*c_1001_2^3 - 8029464576345/2023233999637*c_1001_2^2 + 2523034894118/2023233999637*c_1001_2 + 2898669522600/2023233999637, c_0011_3 + 388981979456/2023233999637*c_1001_2^8 - 1056061977652/2023233999637*c_1001_2^7 + 34642940641494/2023233999637*c_1001_2^6 - 44181503913425/2023233999637*c_1001_2^5 + 45949560652527/2023233999637*c_1001_2^4 - 23526348573001/2023233999637*c_1001_2^3 - 15893695961661/2023233999637*c_1001_2^2 + 7005623200385/2023233999637*c_1001_2 + 3760110185547/2023233999637, c_0011_6 - 156843834928/2023233999637*c_1001_2^8 + 484138081064/2023233999637*c_1001_2^7 - 14186257792416/2023233999637*c_1001_2^6 + 23126712503398/2023233999637*c_1001_2^5 - 30335578579175/2023233999637*c_1001_2^4 + 19368899756728/2023233999637*c_1001_2^3 - 847098901400/2023233999637*c_1001_2^2 - 1890255567694/2023233999637*c_1001_2 - 218938333462/2023233999637, c_0011_9 + 1, c_0101_1 + 201647073980/2023233999637*c_1001_2^8 - 551424964466/2023233999637*c_1001_2^7 + 17983713523539/2023233999637*c_1001_2^6 - 23308243772013/2023233999637*c_1001_2^5 + 25532792378471/2023233999637*c_1001_2^4 - 15342792216407/2023233999637*c_1001_2^3 - 7864231385316/2023233999637*c_1001_2^2 + 4482588306267/2023233999637*c_1001_2 + 861440662947/2023233999637, c_0101_10 + 621042942172/2023233999637*c_1001_2^8 - 1834290075210/2023233999637*c_1001_2^7 + 55723273988671/2023233999637*c_1001_2^6 - 83879472970235/2023233999637*c_1001_2^5 + 91405046696367/2023233999637*c_1001_2^4 - 66174105466261/2023233999637*c_1001_2^3 - 5337051728275/2023233999637*c_1001_2^2 + 10404398416519/2023233999637*c_1001_2 + 4968995885238/2023233999637, c_0101_11 + 201647073980/2023233999637*c_1001_2^8 - 551424964466/2023233999637*c_1001_2^7 + 17983713523539/2023233999637*c_1001_2^6 - 23308243772013/2023233999637*c_1001_2^5 + 25532792378471/2023233999637*c_1001_2^4 - 15342792216407/2023233999637*c_1001_2^3 - 7864231385316/2023233999637*c_1001_2^2 + 4482588306267/2023233999637*c_1001_2 + 861440662947/2023233999637, c_0101_12 + 388981979456/2023233999637*c_1001_2^8 - 1056061977652/2023233999637*c_1001_2^7 + 34642940641494/2023233999637*c_1001_2^6 - 44181503913425/2023233999637*c_1001_2^5 + 45949560652527/2023233999637*c_1001_2^4 - 23526348573001/2023233999637*c_1001_2^3 - 15893695961661/2023233999637*c_1001_2^2 + 7005623200385/2023233999637*c_1001_2 + 3760110185547/2023233999637, c_0101_2 + c_1001_2, c_1001_12 + 33985271948/2023233999637*c_1001_2^8 - 95229500658/2023233999637*c_1001_2^7 + 2943232842255/2023233999637*c_1001_2^6 - 3915483773989/2023233999637*c_1001_2^5 - 3661515156972/2023233999637*c_1001_2^4 + 4407028721412/2023233999637*c_1001_2^3 - 5071449923000/2023233999637*c_1001_2^2 + 1905068587839/2023233999637*c_1001_2 + 1160304813580/2023233999637, c_1001_2^9 - 7/2*c_1001_2^8 + 365/4*c_1001_2^7 - 735/4*c_1001_2^6 + 851/4*c_1001_2^5 - 168*c_1001_2^4 + 53/2*c_1001_2^3 + 73/2*c_1001_2^2 - 3*c_1001_2 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB