Magma V2.19-8 Wed Aug 21 2013 01:08:06 on localhost [Seed = 3717973226] Type ? for help. Type -D to quit. Loading file "L14n38374__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38374 geometric_solution 11.82607734 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 1 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 -1 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 0.730116319402 0.471258801769 0 3 6 5 0132 0132 0132 0132 1 1 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 0 0 1 -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 0.675694630088 0.344191491180 7 0 8 6 0132 0132 0132 0321 1 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 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715381270935 0.562867350623 8 1 9 0 2031 0132 0132 0132 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 0 0 0 0 0 0 -1 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 0.730116319402 0.471258801769 10 9 0 6 0132 1023 0132 0132 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 1 -1 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 0.920374524592 1.371431078024 8 11 1 9 1023 0132 0132 0132 1 1 0 0 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172786589418 0.781219569444 10 2 4 1 3120 0321 0132 0132 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 0 0 1 0 0 -1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172786589418 0.781219569444 2 12 12 11 0132 0132 2103 2310 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 -1 1 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 0.861697687161 1.445138958534 12 5 3 2 3012 1023 1302 0132 1 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 -4 0 4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.136628180302 0.679307424586 4 11 5 3 1023 0321 0132 0132 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 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 0.920374524592 1.371431078024 4 12 11 6 0132 1230 1023 3120 0 1 0 0 0 0 1 -1 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 -5 5 0 0 1 -1 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679867325880 0.557107748193 7 5 10 9 3201 0132 1023 0321 1 0 0 0 0 0 0 0 1 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 -1 1 -5 0 5 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775413816327 1.349406293248 7 7 10 8 2103 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695615311032 0.510478534367 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0011_0']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : negation(d['c_0011_6']), '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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : d['c_0101_3'], '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_10']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0011_6']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_11']), '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_11, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_9, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 6791884225694039/137530317262*c_1100_0^5 - 27826020692090471/11827607284532*c_1100_0^4 + 22057634092046556/2956901821133*c_1100_0^3 - 32590651991216975/11827607284532*c_1100_0^2 - 2854651832536227/11827607284532*c_1100_0 - 892869012819159/11827607284532, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 37685321389/74501797*c_1100_0^5 - 15231450272/74501797*c_1100_0^4 + 2148266358/74501797*c_1100_0^3 - 553855204/74501797*c_1100_0^2 - 734389281/74501797*c_1100_0 - 148230404/74501797, c_0011_6 - 40695552557/74501797*c_1100_0^5 - 4982892424/74501797*c_1100_0^4 + 6889381586/74501797*c_1100_0^3 - 2473948518/74501797*c_1100_0^2 - 934858029/74501797*c_1100_0 - 13325568/74501797, c_0101_0 - 1, c_0101_1 - 4366321050/74501797*c_1100_0^5 - 3149805998/74501797*c_1100_0^4 + 341338929/74501797*c_1100_0^3 + 671735478/74501797*c_1100_0^2 - 149060699/74501797*c_1100_0 - 61466893/74501797, c_0101_10 + 10692380559/74501797*c_1100_0^5 + 7791742749/74501797*c_1100_0^4 - 1133525994/74501797*c_1100_0^3 - 633210121/74501797*c_1100_0^2 + 320729454/74501797*c_1100_0 + 48823908/74501797, c_0101_11 - 3010231168/74501797*c_1100_0^5 + 10248557848/74501797*c_1100_0^4 + 4741115228/74501797*c_1100_0^3 - 1920093314/74501797*c_1100_0^2 - 200468748/74501797*c_1100_0 + 134904836/74501797, c_0101_3 + 18674763174/74501797*c_1100_0^5 + 2547672041/74501797*c_1100_0^4 - 3958152803/74501797*c_1100_0^3 + 623734851/74501797*c_1100_0^2 + 263347313/74501797*c_1100_0 - 37829368/74501797, c_0101_9 - 12197496143/74501797*c_1100_0^5 - 2667463825/74501797*c_1100_0^4 + 3504083608/74501797*c_1100_0^3 - 326836536/74501797*c_1100_0^2 - 420963828/74501797*c_1100_0 + 18628510/74501797, c_1001_0 - 12157886865/74501797*c_1100_0^5 - 3840695996/74501797*c_1100_0^4 + 2221307018/74501797*c_1100_0^3 - 178893644/74501797*c_1100_0^2 - 516070819/74501797*c_1100_0 - 8552492/74501797, c_1001_3 - 24961213405/74501797*c_1100_0^5 - 8362840963/74501797*c_1100_0^4 + 3467563278/74501797*c_1100_0^3 - 514317316/74501797*c_1100_0^2 - 530123059/74501797*c_1100_0 - 51210446/74501797, c_1100_0^6 + 752/1849*c_1100_0^5 - 251/1849*c_1100_0^4 + 4/1849*c_1100_0^3 + 46/1849*c_1100_0^2 + 6/1849*c_1100_0 + 1/1849 ], 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_9, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 7391/52*c_1100_0^6 - 14953/52*c_1100_0^5 - 38089/52*c_1100_0^4 + 46601/52*c_1100_0^3 + 104373/52*c_1100_0^2 - 1597*c_1100_0 + 4305/13, c_0011_0 - 1, c_0011_10 + 8/13*c_1100_0^6 - 22/13*c_1100_0^5 - 36/13*c_1100_0^4 + 79/13*c_1100_0^3 + 105/13*c_1100_0^2 - 12*c_1100_0 + 50/13, c_0011_11 - 5/13*c_1100_0^6 + 21/26*c_1100_0^5 + 45/26*c_1100_0^4 - 63/26*c_1100_0^3 - 115/26*c_1100_0^2 + 11/2*c_1100_0 - 28/13, c_0011_6 + 5/13*c_1100_0^6 - 21/26*c_1100_0^5 - 45/26*c_1100_0^4 + 63/26*c_1100_0^3 + 115/26*c_1100_0^2 - 11/2*c_1100_0 + 28/13, c_0101_0 - 1, c_0101_1 - 9/26*c_1100_0^6 + 15/26*c_1100_0^5 + 47/26*c_1100_0^4 - 45/26*c_1100_0^3 - 123/26*c_1100_0^2 + 4*c_1100_0 - 7/13, c_0101_10 - 3/26*c_1100_0^6 + 5/26*c_1100_0^5 + 7/26*c_1100_0^4 - 15/26*c_1100_0^3 - 15/26*c_1100_0^2 + 2*c_1100_0 - 11/13, c_0101_11 - 1/13*c_1100_0^6 - 1/26*c_1100_0^5 + 9/26*c_1100_0^4 + 3/26*c_1100_0^3 - 23/26*c_1100_0^2 - 1/2*c_1100_0 + 10/13, c_0101_3 - 9/26*c_1100_0^6 + 15/26*c_1100_0^5 + 47/26*c_1100_0^4 - 45/26*c_1100_0^3 - 123/26*c_1100_0^2 + 3*c_1100_0 - 7/13, c_0101_9 - 9/26*c_1100_0^6 + 15/26*c_1100_0^5 + 47/26*c_1100_0^4 - 45/26*c_1100_0^3 - 123/26*c_1100_0^2 + 3*c_1100_0 - 7/13, c_1001_0 - 1, c_1001_3 - 9/26*c_1100_0^6 + 15/26*c_1100_0^5 + 47/26*c_1100_0^4 - 45/26*c_1100_0^3 - 123/26*c_1100_0^2 + 4*c_1100_0 - 7/13, c_1100_0^7 - 3*c_1100_0^6 - 3*c_1100_0^5 + 11*c_1100_0^4 + 7*c_1100_0^3 - 24*c_1100_0^2 + 16*c_1100_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB