Magma V2.19-8 Tue Aug 20 2013 23:57:21 on localhost [Seed = 2581590343] Type ? for help. Type -D to quit. Loading file "L14n32698__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32698 geometric_solution 10.34578351 oriented_manifold CS_known 0.0000000000000002 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 0 1 -1 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 1 0 -1 -1 0 1 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 0.048106681154 0.503226464479 0 5 7 6 0132 0132 0132 0132 0 0 0 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 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.415545313287 1.611145529095 7 0 3 6 2103 0132 0213 2103 1 0 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 0 0 0 0 0 0 -1 0 1 0 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 0.358597225735 0.428806630151 8 2 9 0 0132 0213 0132 0132 1 0 0 1 0 0 1 -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 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 -0.355600097821 0.737349079985 10 10 0 5 0132 2103 0132 1023 1 0 1 1 0 -1 1 0 -1 0 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 -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 1.549231824512 0.753712460704 7 1 9 4 1230 0132 1023 1023 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584445902716 0.977229945321 11 11 1 2 0132 1230 0132 2103 0 0 1 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 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 0.204541527230 0.688768156686 10 5 2 1 3120 3012 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.042939119145 0.604513887217 3 9 11 11 0132 1023 1230 2031 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 0 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204541527230 0.688768156686 8 10 5 3 1023 3201 1023 0132 1 0 1 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326011395991 1.187867912028 4 4 9 7 0132 2103 2310 3120 1 0 1 1 0 0 0 0 1 0 -1 0 -1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042939119145 0.604513887217 6 8 6 8 0132 1302 3012 3012 0 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 -1 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 0.603785063701 1.334204525714 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_9'], 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_7']), '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' : 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_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_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_2']), 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0011_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_11'], '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' : 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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_0110_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 20619469/2046960*c_1100_0^10 - 49155703/2046960*c_1100_0^9 - 14754853/170580*c_1100_0^8 - 148341793/1023480*c_1100_0^7 - 3112847/42645*c_1100_0^6 + 366827201/1023480*c_1100_0^5 + 682980/2843*c_1100_0^4 - 835641857/1023480*c_1100_0^3 + 1977853757/2046960*c_1100_0^2 - 54944227/227440*c_1100_0 + 4549816/127935, c_0011_0 - 1, c_0011_10 + 484491/1137200*c_1100_0^10 + 150333/113720*c_1100_0^9 + 5445511/1137200*c_1100_0^8 + 1158169/113720*c_1100_0^7 + 7158389/568600*c_1100_0^6 - 691379/568600*c_1100_0^5 - 2588497/568600*c_1100_0^4 + 18328539/568600*c_1100_0^3 - 23201881/1137200*c_1100_0^2 + 2196163/284300*c_1100_0 - 1084233/1137200, c_0011_11 + 47927/227440*c_1100_0^10 + 11305/22744*c_1100_0^9 + 416487/227440*c_1100_0^8 + 70493/22744*c_1100_0^7 + 210713/113720*c_1100_0^6 - 759463/113720*c_1100_0^5 - 430289/113720*c_1100_0^4 + 1939463/113720*c_1100_0^3 - 4901757/227440*c_1100_0^2 + 470091/56860*c_1100_0 - 433161/227440, c_0011_3 - 73051/113720*c_1100_0^10 - 49099/22744*c_1100_0^9 - 442483/56860*c_1100_0^8 - 197381/11372*c_1100_0^7 - 666817/28430*c_1100_0^6 - 230181/56860*c_1100_0^5 + 175491/28430*c_1100_0^4 - 2609809/56860*c_1100_0^3 + 2164991/113720*c_1100_0^2 - 872287/113720*c_1100_0 + 35719/56860, c_0011_7 - 16879/56860*c_1100_0^10 - 11383/11372*c_1100_0^9 - 103107/28430*c_1100_0^8 - 23171/2843*c_1100_0^7 - 159693/14215*c_1100_0^6 - 39457/14215*c_1100_0^5 + 45873/28430*c_1100_0^4 - 309918/14215*c_1100_0^3 + 508459/56860*c_1100_0^2 - 260253/56860*c_1100_0 + 8683/14215, c_0101_0 - 1, c_0101_1 - 987/56860*c_1100_0^10 - 9043/22744*c_1100_0^9 - 153379/113720*c_1100_0^8 - 25897/5686*c_1100_0^7 - 551121/56860*c_1100_0^6 - 345457/28430*c_1100_0^5 - 64457/56860*c_1100_0^4 + 46056/14215*c_1100_0^3 - 656939/28430*c_1100_0^2 + 1090827/113720*c_1100_0 - 337963/113720, c_0101_10 + 1, c_0101_11 - 73051/113720*c_1100_0^10 - 49099/22744*c_1100_0^9 - 442483/56860*c_1100_0^8 - 197381/11372*c_1100_0^7 - 666817/28430*c_1100_0^6 - 230181/56860*c_1100_0^5 + 175491/28430*c_1100_0^4 - 2609809/56860*c_1100_0^3 + 2164991/113720*c_1100_0^2 - 872287/113720*c_1100_0 + 35719/56860, c_0101_9 - 19647/22744*c_1100_0^10 - 57621/22744*c_1100_0^9 - 52729/5686*c_1100_0^8 - 216997/11372*c_1100_0^7 - 63446/2843*c_1100_0^6 + 69767/11372*c_1100_0^5 + 43887/5686*c_1100_0^4 - 760249/11372*c_1100_0^3 + 1212863/22744*c_1100_0^2 - 518833/22744*c_1100_0 + 17483/5686, c_0110_2 - 62079/45488*c_1100_0^10 - 109019/22744*c_1100_0^9 - 785023/45488*c_1100_0^8 - 898585/22744*c_1100_0^7 - 1269381/22744*c_1100_0^6 - 390105/22744*c_1100_0^5 + 244073/22744*c_1100_0^4 - 2169879/22744*c_1100_0^3 + 1287181/45488*c_1100_0^2 - 30456/2843*c_1100_0 - 60383/45488, c_1100_0^11 + 3*c_1100_0^10 + 11*c_1100_0^9 + 23*c_1100_0^8 + 28*c_1100_0^7 - 4*c_1100_0^6 - 8*c_1100_0^5 + 76*c_1100_0^4 - 57*c_1100_0^3 + 29*c_1100_0^2 - 7*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB