Magma V2.19-8 Tue Aug 20 2013 23:57:48 on localhost [Seed = 1696796091] Type ? for help. Type -D to quit. Loading file "L14n35334__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n35334 geometric_solution 10.39652486 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 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 -11 -1 12 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 0.448690121578 0.609175558388 0 5 3 6 0132 0132 0213 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.216149094546 1.064215123220 7 0 9 8 0132 0132 0132 0132 1 0 0 1 0 -1 1 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 11 -11 0 5 0 0 -5 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.003686079945 0.920066183847 4 1 9 0 0213 0213 2310 0132 1 0 0 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 0 0 0 0 0 0 0 0 0 -1 1 5 0 -6 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 0.216149094546 1.064215123220 3 5 0 8 0213 2310 0132 0213 1 0 0 1 0 -1 1 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 12 -12 0 0 0 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.216149094546 1.064215123220 9 1 7 4 2103 0132 2310 3201 1 0 1 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 0 0 11 1 0 -12 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854012483273 0.454691481910 10 11 1 8 0132 0132 0132 0321 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 0 -1 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 0.303819384905 0.519761942934 2 5 11 11 0132 3201 3201 2103 0 0 1 0 0 0 -1 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 5 -5 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600692114684 0.156946853551 10 6 2 4 1302 0321 0132 0213 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 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 0 0.161782050519 1.433989441330 11 3 5 2 2103 3201 2103 0132 1 0 1 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 -11 11 0 0 0 0 0 1 0 -1 -5 6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678902515444 0.890419448804 6 8 10 10 0132 2031 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.161782050519 1.433989441330 7 6 9 7 2310 0132 2103 2103 1 0 0 0 0 0 0 0 0 0 0 0 1 0 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 -5 0 0 5 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571691425719 1.467564309025 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0101_0']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : 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_8']), '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_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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : negation(d['c_0110_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : d['c_0101_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_5']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0110_5']), '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' : 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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_0011_10'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_8'])})} 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_3, c_0011_8, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0110_5, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 143345160561/5740166624*c_1001_5^11 - 987583899233/11480333248*c_1001_5^10 - 774933071115/22960666496*c_1001_5^9 + 4097049606633/11480333248*c_1001_5^8 - 5290777016627/22960666496*c_1001_5^7 - 8576750835503/22960666496*c_1001_5^6 + 5926851454767/22960666496*c_1001_5^5 + 4639511116153/11480333248*c_1001_5^4 - 2969271605237/11480333248*c_1001_5^3 - 80040482515/717520828*c_1001_5^2 + 1610813488351/11480333248*c_1001_5 - 740905177107/11480333248, c_0011_0 - 1, c_0011_10 + 112273746/179380207*c_1001_5^11 - 279867717/179380207*c_1001_5^10 - 878615431/358760414*c_1001_5^9 + 1284573634/179380207*c_1001_5^8 + 235190265/358760414*c_1001_5^7 - 3676787789/358760414*c_1001_5^6 - 232163789/358760414*c_1001_5^5 + 1673580227/179380207*c_1001_5^4 + 133356107/179380207*c_1001_5^3 - 414301161/179380207*c_1001_5^2 + 530610527/179380207*c_1001_5 + 33773210/179380207, c_0011_3 - 1771590769/1973182277*c_1001_5^11 + 1093280771/358760414*c_1001_5^10 + 11090810603/7892729108*c_1001_5^9 - 50232728193/3946364554*c_1001_5^8 + 57577269275/7892729108*c_1001_5^7 + 106998623119/7892729108*c_1001_5^6 - 60538196903/7892729108*c_1001_5^5 - 58299349725/3946364554*c_1001_5^4 + 28254317165/3946364554*c_1001_5^3 + 740228494/179380207*c_1001_5^2 - 16984332355/3946364554*c_1001_5 + 13291695399/3946364554, c_0011_8 + 68002439/179380207*c_1001_5^11 - 624138967/358760414*c_1001_5^10 + 340846531/717520828*c_1001_5^9 + 2706704615/358760414*c_1001_5^8 - 6108252989/717520828*c_1001_5^7 - 5681768801/717520828*c_1001_5^6 + 8956651953/717520828*c_1001_5^5 + 2870192281/358760414*c_1001_5^4 - 4098701369/358760414*c_1001_5^3 - 811009850/179380207*c_1001_5^2 + 1772715955/358760414*c_1001_5 - 700576697/358760414, c_0011_9 - 30696261/179380207*c_1001_5^11 + 224111885/358760414*c_1001_5^10 - 44702673/717520828*c_1001_5^9 - 761937519/358760414*c_1001_5^8 + 2078991751/717520828*c_1001_5^7 + 372593667/717520828*c_1001_5^6 - 2188318819/717520828*c_1001_5^5 + 50693051/358760414*c_1001_5^4 + 1107219813/358760414*c_1001_5^3 - 258201879/179380207*c_1001_5^2 - 853417995/358760414*c_1001_5 + 382209505/358760414, c_0101_0 - 1, c_0101_11 + 238327460/179380207*c_1001_5^11 - 629586398/179380207*c_1001_5^10 - 838140693/179380207*c_1001_5^9 + 2802402127/179380207*c_1001_5^8 - 87883691/179380207*c_1001_5^7 - 3731627528/179380207*c_1001_5^6 + 107529964/179380207*c_1001_5^5 + 3521847548/179380207*c_1001_5^4 - 217914362/179380207*c_1001_5^3 - 831923070/179380207*c_1001_5^2 + 1339635274/179380207*c_1001_5 - 52011127/179380207, c_0101_2 - 4619029/179380207*c_1001_5^11 + 99091989/358760414*c_1001_5^10 - 287204361/717520828*c_1001_5^9 - 410222525/358760414*c_1001_5^8 + 1530574515/717520828*c_1001_5^7 + 592113247/717520828*c_1001_5^6 - 1973858023/717520828*c_1001_5^5 - 370509549/358760414*c_1001_5^4 + 792670107/358760414*c_1001_5^3 + 17106833/179380207*c_1001_5^2 - 136639417/358760414*c_1001_5 + 328064153/358760414, c_0110_5 + c_1001_5, c_1001_0 - 30696261/179380207*c_1001_5^11 + 224111885/358760414*c_1001_5^10 - 44702673/717520828*c_1001_5^9 - 761937519/358760414*c_1001_5^8 + 2078991751/717520828*c_1001_5^7 + 372593667/717520828*c_1001_5^6 - 2188318819/717520828*c_1001_5^5 + 50693051/358760414*c_1001_5^4 + 1107219813/358760414*c_1001_5^3 - 258201879/179380207*c_1001_5^2 - 853417995/358760414*c_1001_5 + 382209505/358760414, c_1001_1 - 525182322/1973182277*c_1001_5^11 + 162802687/179380207*c_1001_5^10 + 1783334791/3946364554*c_1001_5^9 - 7955144418/1973182277*c_1001_5^8 + 10014452351/3946364554*c_1001_5^7 + 17841526711/3946364554*c_1001_5^6 - 16301584775/3946364554*c_1001_5^5 - 6853118865/1973182277*c_1001_5^4 + 6260063945/1973182277*c_1001_5^3 + 177685811/179380207*c_1001_5^2 - 5134314349/1973182277*c_1001_5 + 2987947662/1973182277, c_1001_5^12 - 7/2*c_1001_5^11 - 5/4*c_1001_5^10 + 59/4*c_1001_5^9 - 41/4*c_1001_5^8 - 31/2*c_1001_5^7 + 13*c_1001_5^6 + 61/4*c_1001_5^5 - 12*c_1001_5^4 - 9/2*c_1001_5^3 + 15/2*c_1001_5^2 - 4*c_1001_5 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB