Magma V2.19-8 Wed Aug 21 2013 01:08:06 on localhost [Seed = 3769039319] Type ? for help. Type -D to quit. Loading file "L14n38374__sl2_c1.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' : negation(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' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : negation(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' : negation(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: 8 Groebner basis: [ t - 23303663277/9416870*c_1100_0^7 - 337780335121/37667480*c_1100_0^6 + 812565449/509020*c_1100_0^5 + 395088402427/37667480*c_1100_0^4 + 171034714377/37667480*c_1100_0^3 + 227037986599/37667480*c_1100_0^2 - 7405119323/1883374*c_1100_0 - 311544464677/37667480, c_0011_0 - 1, c_0011_10 + 16448/25451*c_1100_0^7 + 77040/25451*c_1100_0^6 + 52216/25451*c_1100_0^5 - 73712/25451*c_1100_0^4 - 71281/25451*c_1100_0^3 - 48547/25451*c_1100_0^2 + 8796/25451*c_1100_0 + 38236/25451, c_0011_11 - 5752/25451*c_1100_0^7 - 41202/25451*c_1100_0^6 - 58467/25451*c_1100_0^5 + 52219/25451*c_1100_0^4 - 2665/25451*c_1100_0^3 + 21248/25451*c_1100_0^2 + 59066/25451*c_1100_0 - 29464/25451, c_0011_6 + 5752/25451*c_1100_0^7 + 41202/25451*c_1100_0^6 + 58467/25451*c_1100_0^5 - 52219/25451*c_1100_0^4 + 2665/25451*c_1100_0^3 - 21248/25451*c_1100_0^2 - 59066/25451*c_1100_0 + 29464/25451, c_0101_0 - 1, c_0101_1 + 5144/25451*c_1100_0^7 + 12210/25451*c_1100_0^6 - 25659/25451*c_1100_0^5 - 13744/25451*c_1100_0^4 + 13569/25451*c_1100_0^3 - 25940/25451*c_1100_0^2 + 26964/25451*c_1100_0 + 13394/25451, c_0101_10 + 18000/25451*c_1100_0^7 + 54600/25451*c_1100_0^6 - 22379/25451*c_1100_0^5 + 18958/25451*c_1100_0^4 - 28120/25451*c_1100_0^3 - 59342/25451*c_1100_0^2 + 38345/25451*c_1100_0 - 11831/25451, c_0101_11 - 5312/25451*c_1100_0^7 - 22900/25451*c_1100_0^6 - 18349/25451*c_1100_0^5 - 20164/25451*c_1100_0^4 - 7877/25451*c_1100_0^3 + 99657/25451*c_1100_0^2 + 37663/25451*c_1100_0 - 35918/25451, c_0101_3 + 5144/25451*c_1100_0^7 + 12210/25451*c_1100_0^6 - 25659/25451*c_1100_0^5 - 13744/25451*c_1100_0^4 + 13569/25451*c_1100_0^3 - 25940/25451*c_1100_0^2 + 1513/25451*c_1100_0 + 13394/25451, c_0101_9 + 5144/25451*c_1100_0^7 + 12210/25451*c_1100_0^6 - 25659/25451*c_1100_0^5 - 13744/25451*c_1100_0^4 + 13569/25451*c_1100_0^3 - 25940/25451*c_1100_0^2 + 1513/25451*c_1100_0 + 13394/25451, c_1001_0 - 1, c_1001_3 + 5144/25451*c_1100_0^7 + 12210/25451*c_1100_0^6 - 25659/25451*c_1100_0^5 - 13744/25451*c_1100_0^4 + 13569/25451*c_1100_0^3 - 25940/25451*c_1100_0^2 + 26964/25451*c_1100_0 + 13394/25451, c_1100_0^8 + 13/4*c_1100_0^7 - 2*c_1100_0^6 - 4*c_1100_0^5 - 1/4*c_1100_0^4 - 7/4*c_1100_0^3 + 5/2*c_1100_0^2 + 11/4*c_1100_0 - 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.410 seconds, Total memory usage: 32.09MB