Magma V2.19-8 Tue Aug 20 2013 23:42:01 on localhost [Seed = 2783166701] Type ? for help. Type -D to quit. Loading file "L12n673__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n673 geometric_solution 10.07890927 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 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 -1 8 -7 1 0 -1 0 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513001623026 1.120722177058 0 5 2 6 0132 0132 1023 0132 1 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 0 0 0 0 0 -8 8 -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 0.331159365569 0.368855447823 7 0 1 5 0132 0132 1023 1302 1 1 1 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 1 -1 0 0 0 8 -8 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652294492156 1.501115687232 6 8 9 0 0132 0132 0132 0132 1 1 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 8 -8 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 0.552927130361 0.453583872382 5 7 0 10 0132 0132 0132 0132 1 1 1 0 0 0 -1 1 0 0 0 0 -1 0 0 1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 8 0 0 -8 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513001623026 1.120722177058 4 1 2 7 0132 0132 2031 1023 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 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 1 0 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652294492156 1.501115687232 3 9 1 10 0132 3012 0132 3120 1 1 1 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 8 -8 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 1.102216750286 1.118269024473 2 4 8 5 0132 0132 0321 1023 1 1 0 1 0 0 0 0 0 0 0 0 -1 2 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 2 -3 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331159365569 0.368855447823 10 3 7 9 3012 0132 0321 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 0 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 0.368321383489 0.635185261993 6 10 8 3 1230 3120 1230 0132 1 1 1 1 0 -1 0 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 8 0 -8 -1 0 0 1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234239501076 0.633913923433 6 9 4 8 3120 3120 0132 1230 1 1 1 1 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 -8 7 1 0 0 0 0 1 0 0 -1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787159854455 0.791529624897 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_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_0110_8'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0110_8'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : d['c_0110_8'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), '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_0011_10'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0110_8'], '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_0011_9'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], '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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_8, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 12220458795/42752*c_1001_0^9 + 17991072417/21376*c_1001_0^8 - 32278924059/42752*c_1001_0^7 + 1295285359/21376*c_1001_0^6 + 11823042659/42752*c_1001_0^5 - 6008616763/42752*c_1001_0^4 - 1040019093/42752*c_1001_0^3 + 946425837/10688*c_1001_0^2 + 110440481/2672*c_1001_0 + 228770815/42752, c_0011_0 - 1, c_0011_10 + 87445305/85504*c_1001_0^9 - 159470103/42752*c_1001_0^8 + 431501745/85504*c_1001_0^7 - 122345797/42752*c_1001_0^6 + 251535/85504*c_1001_0^5 + 75859473/85504*c_1001_0^4 - 33535545/85504*c_1001_0^3 - 4821145/21376*c_1001_0^2 + 500019/10688*c_1001_0 + 1904355/85504, c_0011_3 - 12129075/42752*c_1001_0^9 + 22704825/21376*c_1001_0^8 - 64592787/42752*c_1001_0^7 + 20766679/21376*c_1001_0^6 - 6125397/42752*c_1001_0^5 - 8340579/42752*c_1001_0^4 + 4987043/42752*c_1001_0^3 + 507961/10688*c_1001_0^2 - 36301/2672*c_1001_0 - 189673/42752, c_0011_9 + 43856775/85504*c_1001_0^9 - 79911705/42752*c_1001_0^8 + 215918511/85504*c_1001_0^7 - 61103035/42752*c_1001_0^6 + 411121/85504*c_1001_0^5 + 36904271/85504*c_1001_0^4 - 15768199/85504*c_1001_0^3 - 2504143/21376*c_1001_0^2 + 242129/10688*c_1001_0 + 1018813/85504, c_0101_0 - 1, c_0101_1 - 65540205/171008*c_1001_0^9 + 119592123/85504*c_1001_0^8 - 323689557/171008*c_1001_0^7 + 91698665/85504*c_1001_0^6 - 329435/171008*c_1001_0^5 - 55823221/171008*c_1001_0^4 + 23811117/171008*c_1001_0^3 + 3773105/42752*c_1001_0^2 - 374849/21376*c_1001_0 - 1552143/171008, c_0101_10 + c_1001_0, c_0101_2 - 135/512*c_1001_0^9 + 291/256*c_1001_0^8 - 1083/512*c_1001_0^7 + 619/256*c_1001_0^6 - 1113/512*c_1001_0^5 + 997/512*c_1001_0^4 - 985/512*c_1001_0^3 + 129/64*c_1001_0^2 - 257/128*c_1001_0 - 1/512, c_0110_8 - 43856775/85504*c_1001_0^9 + 79911705/42752*c_1001_0^8 - 215918511/85504*c_1001_0^7 + 61103035/42752*c_1001_0^6 - 411121/85504*c_1001_0^5 - 36904271/85504*c_1001_0^4 + 15768199/85504*c_1001_0^3 + 2504143/21376*c_1001_0^2 - 242129/10688*c_1001_0 - 1018813/85504, c_1001_0^10 - 149/45*c_1001_0^9 + 167/45*c_1001_0^8 - 31/27*c_1001_0^7 - 25/27*c_1001_0^6 + 116/135*c_1001_0^5 - 4/45*c_1001_0^4 - 47/135*c_1001_0^3 - 4/135*c_1001_0^2 + 1/27*c_1001_0 + 1/135, c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB