Magma V2.19-8 Wed Aug 21 2013 01:02:50 on localhost [Seed = 2648409719] Type ? for help. Type -D to quit. Loading file "L14n15926__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15926 geometric_solution 11.12360009 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 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 0 1 0 0 0 0 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263230565232 0.589096117147 0 4 4 5 0132 0132 1302 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 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130483194384 0.729182555319 0 0 4 6 3012 0132 0132 0132 1 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 1 0 -1 -1 0 1 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827957870372 0.662007330354 7 8 9 0 0132 0132 0132 0132 1 1 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 0 0 0 0 10 -11 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710334834688 0.413977056175 1 1 6 2 2031 0132 1230 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762210074110 1.328847493416 8 10 1 6 2031 0132 0132 2031 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 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 0.253695802940 1.123638063047 11 5 2 4 0132 1302 0132 3012 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 0 0 0 0 0 0 1 -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 1.344391984128 0.530039221508 3 10 12 10 0132 0213 0132 1230 1 1 1 1 0 1 0 -1 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 10 0 -10 0 0 0 0 0 10 0 -10 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414875694622 0.796106023176 9 3 5 12 0132 0132 1302 1230 1 1 1 1 0 0 0 0 0 0 0 0 -1 0 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 -11 0 0 11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921823219219 0.471385372332 8 12 11 3 0132 1230 1230 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 -1 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 11 -11 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.454574852459 0.452020515785 7 5 7 11 3012 0132 0213 3012 1 1 1 1 0 0 -1 1 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 0 -10 10 10 0 -10 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254952827157 0.373806140455 6 12 10 9 0132 3120 1230 3012 1 1 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 0 0 0 0 -1 11 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299574115900 0.873707541743 8 11 9 7 3012 3120 3012 0132 1 1 1 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 -11 11 0 0 0 0 0 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302758142185 1.525729802478 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0110_5'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0101_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_3']), '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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0101_0'], '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' : negation(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' : d['c_0110_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_11']})} 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_12, c_0011_3, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0110_10, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 11141182778189459/704747629880*c_0110_5^6 - 120558879639022757/352373814940*c_0110_5^5 + 781191561286442291/704747629880*c_0110_5^4 - 843480573840307969/704747629880*c_0110_5^3 - 1060936225275721269/704747629880*c_0110_5^2 - 51174161637129663/88093453735*c_0110_5 + 169771287558604042/88093453735, c_0011_0 - 1, c_0011_10 - 410101/7160614*c_0110_5^6 - 8909257/7160614*c_0110_5^5 + 27989263/7160614*c_0110_5^4 - 14673081/3580307*c_0110_5^3 - 18965353/3580307*c_0110_5^2 - 16810389/7160614*c_0110_5 + 19809491/3580307, c_0011_11 - 1571967/28642456*c_0110_5^6 - 34148013/28642456*c_0110_5^5 + 53624891/14321228*c_0110_5^4 - 115211219/28642456*c_0110_5^3 - 39399149/7160614*c_0110_5^2 - 10640239/3580307*c_0110_5 + 21434807/3580307, c_0011_12 - 451071/28642456*c_0110_5^6 - 9776281/28642456*c_0110_5^5 + 15567101/14321228*c_0110_5^4 - 37425323/28642456*c_0110_5^3 - 4631656/3580307*c_0110_5^2 - 1432377/3580307*c_0110_5 + 5523134/3580307, c_0011_3 - 76573/7160614*c_0110_5^6 - 3293197/14321228*c_0110_5^5 + 11139529/14321228*c_0110_5^4 - 7332089/7160614*c_0110_5^3 - 16663339/14321228*c_0110_5^2 + 169033/7160614*c_0110_5 + 3499307/3580307, c_0101_0 - 1, c_0101_11 - 448569/28642456*c_0110_5^6 - 9945649/28642456*c_0110_5^5 + 6502353/7160614*c_0110_5^4 - 24400949/28642456*c_0110_5^3 - 27326873/14321228*c_0110_5^2 - 8226075/7160614*c_0110_5 + 6534537/3580307, c_0101_12 - 1189333/28642456*c_0110_5^6 - 25860747/28642456*c_0110_5^5 + 40411425/14321228*c_0110_5^4 - 79959325/28642456*c_0110_5^3 - 14333697/3580307*c_0110_5^2 - 21106249/7160614*c_0110_5 + 17866664/3580307, c_0101_2 + 451071/28642456*c_0110_5^6 + 9776281/28642456*c_0110_5^5 - 15567101/14321228*c_0110_5^4 + 37425323/28642456*c_0110_5^3 + 4631656/3580307*c_0110_5^2 + 5012684/3580307*c_0110_5 - 5523134/3580307, c_0101_4 - 112455/3580307*c_0110_5^6 - 9860965/14321228*c_0110_5^5 + 28571807/14321228*c_0110_5^4 - 7728284/3580307*c_0110_5^3 - 45853497/14321228*c_0110_5^2 - 18251443/7160614*c_0110_5 + 12057671/3580307, c_0101_6 - 451071/28642456*c_0110_5^6 - 9776281/28642456*c_0110_5^5 + 15567101/14321228*c_0110_5^4 - 37425323/28642456*c_0110_5^3 - 4631656/3580307*c_0110_5^2 - 1432377/3580307*c_0110_5 + 5523134/3580307, c_0110_10 + 258503/14321228*c_0110_5^6 + 1429333/3580307*c_0110_5^5 - 15358341/14321228*c_0110_5^4 + 13287189/14321228*c_0110_5^3 + 24389987/14321228*c_0110_5^2 + 5458300/3580307*c_0110_5 - 8489528/3580307, c_0110_5^7 + 21*c_0110_5^6 - 84*c_0110_5^5 + 121*c_0110_5^4 + 46*c_0110_5^3 - 24*c_0110_5^2 - 144*c_0110_5 + 80 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.580 Total time: 0.790 seconds, Total memory usage: 32.09MB