Magma V2.19-8 Wed Aug 21 2013 01:07:54 on localhost [Seed = 745157895] Type ? for help. Type -D to quit. Loading file "L14n36231__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n36231 geometric_solution 11.33972142 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 0 0 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 1 -1 -1 0 3 -2 -5 5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173406253492 0.860599930182 0 5 7 6 0132 0132 0132 0132 0 0 0 1 0 0 -1 1 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 0 0 -2 2 1 0 -1 0 -1 1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230344562661 0.351851285389 8 0 10 9 0132 0132 0132 0132 1 1 0 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 1 0 0 -1 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238863027190 0.907275274958 5 11 11 0 2103 0132 1302 0132 1 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 3 -3 2 -3 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494899286433 0.909282545883 8 7 0 6 2031 2103 0132 2031 1 0 0 1 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 -1 1 0 0 0 2 -2 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705931599872 2.326169694135 8 1 3 6 1023 0132 2103 3120 0 0 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 -2 2 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 -0.225003608319 1.071904424949 5 4 1 12 3120 1302 0132 0132 0 0 1 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 2 -2 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.044817454601 1.533750576791 10 4 9 1 0321 2103 3201 0132 0 0 1 1 0 -1 0 1 0 0 0 0 -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 -2 0 2 0 0 -1 1 -6 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434976766010 0.579020176052 2 5 4 10 0132 1023 1302 3201 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 -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 1.780854848925 1.943366346139 7 12 2 11 2310 2310 0132 1023 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 1 -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 -0.271372358280 1.030755717496 7 8 12 2 0321 2310 3201 0132 1 1 1 0 0 0 0 0 0 0 0 0 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 6 -1 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180186153717 0.461846151842 3 3 12 9 2031 0132 2310 1023 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 -1 0 1 0 0 0 0 -1 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538219625985 0.848432894599 10 11 6 9 2310 3201 0132 3201 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 1.188455641150 1.618045330060 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_1001_0']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(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_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : negation(d['c_0011_9']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : negation(d['c_0011_4']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 47027923/3169904*c_1001_0^10 + 182585609/1584952*c_1001_0^9 + 1154509391/3169904*c_1001_0^8 + 2077588493/3169904*c_1001_0^7 + 169867973/198119*c_1001_0^6 + 2509238615/3169904*c_1001_0^5 + 1871953713/3169904*c_1001_0^4 + 110623887/396238*c_1001_0^3 + 525657003/3169904*c_1001_0^2 + 45681659/3169904*c_1001_0 + 13063843/198119, c_0011_0 - 1, c_0011_10 + 83/5914*c_1001_0^10 + 435/5914*c_1001_0^9 - 681/5914*c_1001_0^8 - 4841/2957*c_1001_0^7 - 27245/5914*c_1001_0^6 - 37369/5914*c_1001_0^5 - 16955/2957*c_1001_0^4 - 27063/5914*c_1001_0^3 - 14115/5914*c_1001_0^2 - 4594/2957*c_1001_0 - 4541/5914, c_0011_11 + 2915/11828*c_1001_0^10 + 23329/11828*c_1001_0^9 + 77761/11828*c_1001_0^8 + 37742/2957*c_1001_0^7 + 208913/11828*c_1001_0^6 + 196579/11828*c_1001_0^5 + 35178/2957*c_1001_0^4 + 69165/11828*c_1001_0^3 + 44871/11828*c_1001_0^2 + 7063/5914*c_1001_0 + 8675/11828, c_0011_12 - 1135/2957*c_1001_0^10 - 9048/2957*c_1001_0^9 - 28416/2957*c_1001_0^8 - 46411/2957*c_1001_0^7 - 48360/2957*c_1001_0^6 - 31760/2957*c_1001_0^5 - 13223/2957*c_1001_0^4 - 2468/2957*c_1001_0^3 - 2108/2957*c_1001_0^2 + 1271/2957*c_1001_0 - 1354/2957, c_0011_4 + 1, c_0011_6 + 841/2957*c_1001_0^10 + 6759/2957*c_1001_0^9 + 22741/2957*c_1001_0^8 + 44581/2957*c_1001_0^7 + 61821/2957*c_1001_0^6 + 59421/2957*c_1001_0^5 + 46053/2957*c_1001_0^4 + 22374/2957*c_1001_0^3 + 11634/2957*c_1001_0^2 + 30/2957*c_1001_0 + 2939/2957, c_0011_7 + 1545/5914*c_1001_0^10 + 13085/5914*c_1001_0^9 + 45181/5914*c_1001_0^8 + 42133/2957*c_1001_0^7 + 99711/5914*c_1001_0^6 + 77349/5914*c_1001_0^5 + 21668/2957*c_1001_0^4 + 12465/5914*c_1001_0^3 + 11011/5914*c_1001_0^2 - 1080/2957*c_1001_0 + 4253/5914, c_0011_9 + 283/11828*c_1001_0^10 + 2837/11828*c_1001_0^9 + 14565/11828*c_1001_0^8 + 11680/2957*c_1001_0^7 + 92861/11828*c_1001_0^6 + 115843/11828*c_1001_0^5 + 27830/2957*c_1001_0^4 + 74457/11828*c_1001_0^3 + 29895/11828*c_1001_0^2 + 2185/5914*c_1001_0 + 12163/11828, c_0101_0 - 1, c_0101_10 - 1763/5914*c_1001_0^10 - 13515/5914*c_1001_0^9 - 41041/5914*c_1001_0^8 - 33337/2957*c_1001_0^7 - 73255/5914*c_1001_0^6 - 53801/5914*c_1001_0^5 - 19353/2957*c_1001_0^4 - 21401/5914*c_1001_0^3 - 18471/5914*c_1001_0^2 - 2672/2957*c_1001_0 - 3299/5914, c_0101_11 + 658/2957*c_1001_0^10 + 5123/2957*c_1001_0^9 + 15799/2957*c_1001_0^8 + 26062/2957*c_1001_0^7 + 29013/2957*c_1001_0^6 + 20184/2957*c_1001_0^5 + 7348/2957*c_1001_0^4 - 1323/2957*c_1001_0^3 + 787/2957*c_1001_0^2 - 3475/2957*c_1001_0 + 2085/2957, c_0101_12 - 1617/5914*c_1001_0^10 - 11111/5914*c_1001_0^9 - 26777/5914*c_1001_0^8 - 12425/2957*c_1001_0^7 - 4325/5914*c_1001_0^6 + 20549/5914*c_1001_0^5 + 11922/2957*c_1001_0^4 + 20773/5914*c_1001_0^3 + 5081/5914*c_1001_0^2 + 4317/2957*c_1001_0 + 1325/5914, c_1001_0^11 + 8*c_1001_0^10 + 26*c_1001_0^9 + 47*c_1001_0^8 + 59*c_1001_0^7 + 52*c_1001_0^6 + 37*c_1001_0^5 + 19*c_1001_0^4 + 12*c_1001_0^3 + 3*c_1001_0^2 + 3*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB