Magma V2.19-8 Tue Aug 20 2013 23:41:59 on localhost [Seed = 1764690991] Type ? for help. Type -D to quit. Loading file "L12n648__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n648 geometric_solution 9.97804382 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1230 0132 0132 1 1 1 0 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 -1 1 0 1 0 -1 0 -1 2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623439058673 0.687883854256 0 4 0 5 0132 0132 3012 0132 0 1 0 1 0 0 1 -1 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 0 -1 1 -1 0 1 0 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276635731763 0.798138316718 3 6 7 0 3120 0132 0132 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 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 0.459166109542 0.359165088977 5 8 0 2 0132 0132 0132 3120 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 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 0.589531100347 1.044781926712 7 1 8 7 0213 0132 3201 3012 0 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 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 0.573113575479 0.578771954362 3 9 1 8 0132 0132 0132 1023 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 0 0 0 0 1 -1 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 0.651510018254 1.658312950673 10 2 8 10 0132 0132 0321 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425019340432 0.776543676633 4 9 4 2 0213 1230 1230 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 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 0.825365430572 1.119029174683 4 3 6 5 2310 0132 0321 1023 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 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 0.295175989488 0.362994291927 10 5 7 10 2310 0132 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.880708553794 0.513650682075 6 6 9 9 0132 2310 3201 1023 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 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 1.269056400817 0.701526423737 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_10']), '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_0011_3'], 'c_1100_8' : d['c_1001_0'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_3']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0101_1'], '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' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], '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_0101_6']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 12148775926373149/101081111786613852*c_1001_0^11 - 7684731503215571/101081111786613852*c_1001_0^10 + 80718857465652137/50540555893306926*c_1001_0^9 - 178016159308984223/101081111786613852*c_1001_0^8 + 221109003397533079/33693703928871284*c_1001_0^7 - 781079162507689189/101081111786613852*c_1001_0^6 + 511631923344811187/101081111786613852*c_1001_0^5 - 1729053935217839977/101081111786613852*c_1001_0^4 - 485239993842909343/50540555893306926*c_1001_0^3 + 4848651444195538/495495646012813*c_1001_0^2 + 49956799526596315/101081111786613852*c_1001_0 - 632969152645896455/101081111786613852, c_0011_0 - 1, c_0011_10 - 150648451999/8122879442833*c_1001_0^11 + 197711228071/8122879442833*c_1001_0^10 - 2108121370250/8122879442833*c_1001_0^9 + 3470208659519/8122879442833*c_1001_0^8 - 10254819531046/8122879442833*c_1001_0^7 + 14199518600596/8122879442833*c_1001_0^6 - 14393792334762/8122879442833*c_1001_0^5 + 21214645876487/8122879442833*c_1001_0^4 - 3188198965861/8122879442833*c_1001_0^3 - 22732424631589/8122879442833*c_1001_0^2 + 15513529924794/8122879442833*c_1001_0 + 8256315522595/8122879442833, c_0011_3 - 163262070496/8122879442833*c_1001_0^11 + 50947354636/8122879442833*c_1001_0^10 - 2161197541185/8122879442833*c_1001_0^9 + 1512548360802/8122879442833*c_1001_0^8 - 8611419103061/8122879442833*c_1001_0^7 + 5089085673423/8122879442833*c_1001_0^6 - 5886676302309/8122879442833*c_1001_0^5 + 9558697554060/8122879442833*c_1001_0^4 + 13619056243508/8122879442833*c_1001_0^3 - 22004139040942/8122879442833*c_1001_0^2 - 5251476577904/8122879442833*c_1001_0 + 17493202615510/8122879442833, c_0011_7 - 116199294424/8122879442833*c_1001_0^11 + 51904312372/8122879442833*c_1001_0^10 - 1553309469647/8122879442833*c_1001_0^9 + 1351175113689/8122879442833*c_1001_0^8 - 6313128210386/8122879442833*c_1001_0^7 + 5308193182564/8122879442833*c_1001_0^6 - 4406977637691/8122879442833*c_1001_0^5 + 9082170724181/8122879442833*c_1001_0^4 + 11374821083783/8122879442833*c_1001_0^3 - 23501747226922/8122879442833*c_1001_0^2 - 2569153779272/8122879442833*c_1001_0 - 1753388345023/8122879442833, c_0101_0 + 187337973465/8122879442833*c_1001_0^11 - 71138679041/8122879442833*c_1001_0^10 + 2570827316138/8122879442833*c_1001_0^9 - 2006112026188/8122879442833*c_1001_0^8 + 11200469108466/8122879442833*c_1001_0^7 - 8486571693349/8122879442833*c_1001_0^6 + 12863590243541/8122879442833*c_1001_0^5 - 20134296886224/8122879442833*c_1001_0^4 - 5710087201811/8122879442833*c_1001_0^3 + 14103143307457/8122879442833*c_1001_0^2 + 4325927349654/8122879442833*c_1001_0 - 4362351238933/8122879442833, c_0101_1 - 1, c_0101_10 - 107405190782/8122879442833*c_1001_0^11 - 197758991312/8122879442833*c_1001_0^10 - 1489605183383/8122879442833*c_1001_0^9 - 2104479606503/8122879442833*c_1001_0^8 - 5366366643806/8122879442833*c_1001_0^7 - 8719668615624/8122879442833*c_1001_0^6 - 3151184292344/8122879442833*c_1001_0^5 - 3135734108821/8122879442833*c_1001_0^4 + 22766967178578/8122879442833*c_1001_0^3 + 3314464321169/8122879442833*c_1001_0^2 - 14676875067653/8122879442833*c_1001_0 - 8238932371347/8122879442833, c_0101_2 - 187337973465/8122879442833*c_1001_0^11 + 71138679041/8122879442833*c_1001_0^10 - 2570827316138/8122879442833*c_1001_0^9 + 2006112026188/8122879442833*c_1001_0^8 - 11200469108466/8122879442833*c_1001_0^7 + 8486571693349/8122879442833*c_1001_0^6 - 12863590243541/8122879442833*c_1001_0^5 + 20134296886224/8122879442833*c_1001_0^4 + 5710087201811/8122879442833*c_1001_0^3 - 14103143307457/8122879442833*c_1001_0^2 - 12448806792487/8122879442833*c_1001_0 + 4362351238933/8122879442833, c_0101_6 - 187337973465/8122879442833*c_1001_0^11 + 71138679041/8122879442833*c_1001_0^10 - 2570827316138/8122879442833*c_1001_0^9 + 2006112026188/8122879442833*c_1001_0^8 - 11200469108466/8122879442833*c_1001_0^7 + 8486571693349/8122879442833*c_1001_0^6 - 12863590243541/8122879442833*c_1001_0^5 + 20134296886224/8122879442833*c_1001_0^4 + 5710087201811/8122879442833*c_1001_0^3 - 14103143307457/8122879442833*c_1001_0^2 - 12448806792487/8122879442833*c_1001_0 + 4362351238933/8122879442833, c_0101_9 + 327258149911/8122879442833*c_1001_0^11 - 395663326119/8122879442833*c_1001_0^10 + 4554163829239/8122879442833*c_1001_0^9 - 7269572795712/8122879442833*c_1001_0^8 + 21934988503739/8122879442833*c_1001_0^7 - 31013617057836/8122879442833*c_1001_0^6 + 32362362861041/8122879442833*c_1001_0^5 - 51238827772338/8122879442833*c_1001_0^4 + 10687339604605/8122879442833*c_1001_0^3 + 47041275519045/8122879442833*c_1001_0^2 - 12790394250408/8122879442833*c_1001_0 - 17758001929875/8122879442833, c_1001_0^12 - c_1001_0^11 + 14*c_1001_0^10 - 19*c_1001_0^9 + 67*c_1001_0^8 - 79*c_1001_0^7 + 97*c_1001_0^6 - 131*c_1001_0^5 + 18*c_1001_0^4 + 136*c_1001_0^3 - 59*c_1001_0^2 - 37*c_1001_0 + 34 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB