Magma V2.19-8 Tue Aug 20 2013 23:41:10 on localhost [Seed = 3187398971] Type ? for help. Type -D to quit. Loading file "L12a684__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a684 geometric_solution 9.24462872 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 2103 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 2 1 -3 -1 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 -0.261239661006 0.715084262014 0 4 5 5 0132 0132 2103 0132 1 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 -3 3 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 0.738760338994 0.715084262014 0 0 3 4 2103 0132 2103 3120 1 0 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 -2 2 0 -1 0 0 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.149268069634 0.893591678912 2 6 0 7 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 -3 3 0 0 0 0 0 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724214484016 0.859097104883 2 1 8 9 3120 0132 0132 0132 1 0 1 1 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 -2 2 -1 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.950575542394 0.508315710339 1 9 1 6 2103 2103 0132 3120 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 3 -3 0 0 0 1 -1 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301152478441 0.676450585984 5 3 8 9 3120 0132 3120 2103 1 0 1 1 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 3 0 -3 1 0 1 -2 1 -1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024350117111 0.553318129301 8 10 3 9 0132 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252527499059 0.737549508503 7 10 6 4 0132 3201 3120 0132 1 0 1 1 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 -2 2 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 0.702867342639 0.628195032121 7 5 4 6 3120 2103 0132 2103 1 0 1 1 0 -1 1 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 2 -2 0 0 0 -2 2 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519656583890 0.164402370858 10 7 8 10 3201 0132 2310 2310 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 -0.644782204386 0.972103899449 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : 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' : negation(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_1100_9' : negation(d['c_0101_6']), 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_0101_4']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : 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_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_0101_10']), 'c_0101_7' : d['c_0101_4'], '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_0101_0'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_9'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_6']})} 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_0011_9, c_0101_0, c_0101_10, c_0101_4, c_0101_6, c_0101_8, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 5231362761/1306624*c_0101_9^12 - 615150835/163328*c_0101_9^11 + 13532298299/653312*c_0101_9^10 + 31380511321/1306624*c_0101_9^9 - 1722373205/29696*c_0101_9^8 - 100171090317/1306624*c_0101_9^7 + 7242227367/81664*c_0101_9^6 + 94608274111/653312*c_0101_9^5 - 86416873403/1306624*c_0101_9^4 - 102151460487/653312*c_0101_9^3 + 624851203/653312*c_0101_9^2 + 27674965041/326656*c_0101_9 + 42483640619/1306624, c_0011_0 - 1, c_0011_10 + c_0101_9^7 - c_0101_9^6 - 3*c_0101_9^5 + 3*c_0101_9^4 + 5*c_0101_9^3 - 5*c_0101_9^2 - 3*c_0101_9 + 3, c_0011_3 - c_0101_9 + 1, c_0011_5 - c_0101_9^12 + 7*c_0101_9^10 - 25*c_0101_9^8 + 54*c_0101_9^6 - 73*c_0101_9^4 + 58*c_0101_9^2 - 21, c_0011_9 - c_0101_9^11 + c_0101_9^10 + 5*c_0101_9^9 - 5*c_0101_9^8 - 14*c_0101_9^7 + 14*c_0101_9^6 + 22*c_0101_9^5 - 22*c_0101_9^4 - 20*c_0101_9^3 + 20*c_0101_9^2 + 8*c_0101_9 - 8, c_0101_0 - 1, c_0101_10 + c_0101_9^3 - c_0101_9^2 - c_0101_9 + 1, c_0101_4 + c_0101_9^2 - c_0101_9 - 1, c_0101_6 - c_0101_9^12 + c_0101_9^11 + 6*c_0101_9^10 - 5*c_0101_9^9 - 20*c_0101_9^8 + 14*c_0101_9^7 + 40*c_0101_9^6 - 22*c_0101_9^5 - 51*c_0101_9^4 + 20*c_0101_9^3 + 38*c_0101_9^2 - 8*c_0101_9 - 13, c_0101_8 + c_0101_9^10 - c_0101_9^9 - 5*c_0101_9^8 + 4*c_0101_9^7 + 14*c_0101_9^6 - 9*c_0101_9^5 - 22*c_0101_9^4 + 10*c_0101_9^3 + 20*c_0101_9^2 - 5*c_0101_9 - 8, c_0101_9^13 - 6*c_0101_9^11 - c_0101_9^10 + 20*c_0101_9^9 + 5*c_0101_9^8 - 40*c_0101_9^7 - 14*c_0101_9^6 + 51*c_0101_9^5 + 22*c_0101_9^4 - 38*c_0101_9^3 - 20*c_0101_9^2 + 13*c_0101_9 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB