Magma V2.19-8 Tue Aug 20 2013 23:40:31 on localhost [Seed = 1966281213] Type ? for help. Type -D to quit. Loading file "L11a371__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a371 geometric_solution 10.13718818 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 -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 0.255754040910 0.853556079636 0 2 5 5 0132 3201 2103 0132 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 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 0.255754040910 0.853556079636 2 0 1 2 3012 0132 2310 1230 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 -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 0.141062870349 0.964783927456 4 5 6 0 0132 3120 0132 0132 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 0 0 0 0 0 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.001239914368 1.230307434189 3 6 0 7 0132 0132 0132 0132 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 0 1 -1 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 0.280395560159 0.489752180588 1 3 1 8 2103 3120 0132 0132 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 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 0.677878698754 1.075050834310 7 4 9 3 0132 0132 0132 0132 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 0 0 0 0 0 -1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147466768369 0.681233087747 6 8 4 9 0132 2103 0132 0132 1 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 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 2.005108899954 1.685982326726 10 7 5 10 0132 2103 0132 2103 1 0 1 1 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 -1 0 -1 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857644967126 0.785887620482 10 10 7 6 2103 0132 0132 0132 1 0 1 1 0 1 -1 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 0 0 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 0.366197684881 0.580773411350 8 9 9 8 0132 0132 2103 2103 1 0 1 1 0 -1 1 0 1 0 0 -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 1 0 1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857644967126 0.785887620482 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_1001_9'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_1001_9']), 'c_1100_8' : negation(d['c_0101_8']), '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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_10' : d['c_0101_8'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_8, c_1001_2, c_1001_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 5509320501658/6400760625*c_1100_0^13 + 160905508693/60959625*c_1100_0^12 + 5301922701772/6400760625*c_1100_0^11 + 19810575641587/6400760625*c_1100_0^10 + 58209707663074/6400760625*c_1100_0^9 + 1673287159654/1280152125*c_1100_0^8 + 13048423284803/1280152125*c_1100_0^7 - 6617125105564/1280152125*c_1100_0^6 + 13788920995354/2133586875*c_1100_0^5 + 24382549275292/6400760625*c_1100_0^4 + 3778208504948/426717375*c_1100_0^3 + 38112706514531/6400760625*c_1100_0^2 + 21055487201377/6400760625*c_1100_0 + 2880784012192/6400760625, c_0011_0 - 1, c_0011_10 + 60398/16365*c_1100_0^13 + 14525/1091*c_1100_0^12 + 147497/16365*c_1100_0^11 + 217712/16365*c_1100_0^10 + 753749/16365*c_1100_0^9 + 80657/3273*c_1100_0^8 + 130669/3273*c_1100_0^7 + 8356/3273*c_1100_0^6 + 49794/5455*c_1100_0^5 + 578867/16365*c_1100_0^4 + 47539/1091*c_1100_0^3 + 689161/16365*c_1100_0^2 + 399062/16365*c_1100_0 + 85337/16365, c_0011_3 + c_1100_0^2, c_0011_5 + 51506/16365*c_1100_0^13 + 12117/1091*c_1100_0^12 + 112094/16365*c_1100_0^11 + 178784/16365*c_1100_0^10 + 630113/16365*c_1100_0^9 + 59813/3273*c_1100_0^8 + 108715/3273*c_1100_0^7 - 1466/3273*c_1100_0^6 + 45638/5455*c_1100_0^5 + 491249/16365*c_1100_0^4 + 37989/1091*c_1100_0^3 + 542797/16365*c_1100_0^2 + 287954/16365*c_1100_0 + 64214/16365, c_0101_0 - 1, c_0101_10 + 37996/16365*c_1100_0^13 + 8880/1091*c_1100_0^12 + 77434/16365*c_1100_0^11 + 121369/16365*c_1100_0^10 + 456343/16365*c_1100_0^9 + 41545/3273*c_1100_0^8 + 72743/3273*c_1100_0^7 - 7075/3273*c_1100_0^6 + 33768/5455*c_1100_0^5 + 340069/16365*c_1100_0^4 + 27432/1091*c_1100_0^3 + 357692/16365*c_1100_0^2 + 191059/16365*c_1100_0 + 31624/16365, c_0101_3 + 7041/5455*c_1100_0^13 + 5040/1091*c_1100_0^12 + 16124/5455*c_1100_0^11 + 23404/5455*c_1100_0^10 + 85598/5455*c_1100_0^9 + 8656/1091*c_1100_0^8 + 14175/1091*c_1100_0^7 - 277/1091*c_1100_0^6 + 11794/5455*c_1100_0^5 + 66254/5455*c_1100_0^4 + 16690/1091*c_1100_0^3 + 71947/5455*c_1100_0^2 + 35704/5455*c_1100_0 + 3624/5455, c_0101_8 + c_1100_0, c_1001_2 - 51506/16365*c_1100_0^13 - 12117/1091*c_1100_0^12 - 112094/16365*c_1100_0^11 - 178784/16365*c_1100_0^10 - 630113/16365*c_1100_0^9 - 59813/3273*c_1100_0^8 - 108715/3273*c_1100_0^7 + 1466/3273*c_1100_0^6 - 45638/5455*c_1100_0^5 - 491249/16365*c_1100_0^4 - 37989/1091*c_1100_0^3 - 542797/16365*c_1100_0^2 - 304319/16365*c_1100_0 - 64214/16365, c_1001_9 - 26394/5455*c_1100_0^13 - 19495/1091*c_1100_0^12 - 72036/5455*c_1100_0^11 - 97771/5455*c_1100_0^10 - 333992/5455*c_1100_0^9 - 40634/1091*c_1100_0^8 - 58580/1091*c_1100_0^7 - 6164/1091*c_1100_0^6 - 63091/5455*c_1100_0^5 - 258441/5455*c_1100_0^4 - 66755/1091*c_1100_0^3 - 318018/5455*c_1100_0^2 - 185806/5455*c_1100_0 - 41111/5455, c_1100_0^14 + 4*c_1100_0^13 + 4*c_1100_0^12 + 5*c_1100_0^11 + 14*c_1100_0^10 + 12*c_1100_0^9 + 15*c_1100_0^8 + 5*c_1100_0^7 + 4*c_1100_0^6 + 10*c_1100_0^5 + 16*c_1100_0^4 + 17*c_1100_0^3 + 12*c_1100_0^2 + 5*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB