Magma V2.19-8 Tue Aug 20 2013 23:48:55 on localhost [Seed = 172777621] Type ? for help. Type -D to quit. Loading file "K11n117__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n117 geometric_solution 11.39518474 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272868018263 0.565541939242 0 5 6 2 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.443271103637 0.646929010966 3 0 5 1 0321 0132 3201 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978858023515 0.467118170623 2 7 8 0 0321 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147896040942 0.909470023447 9 10 0 11 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.613127335999 0.794043838154 2 1 7 9 2310 0132 3120 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988579016751 0.435496506912 11 12 7 1 1023 0132 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.269218274092 1.623995247676 6 3 5 10 2310 0132 3120 0213 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 5 0 -1 -4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.057415018009 1.638390360775 11 10 12 3 0213 0213 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.441971104040 1.023918644490 4 5 12 11 0132 2310 3120 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.870800231005 0.439793821709 12 4 8 7 3120 0132 0213 0213 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 0 0 0 0 -4 0 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287369982543 1.320830841986 8 6 4 9 0213 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.438639559898 0.997739097376 8 6 9 10 2031 0132 3120 3120 0 0 0 0 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 0 0 0 0 1 0 -1 0 0 0 0 1 -5 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097538772385 0.613893356070 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : d['c_0101_6'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_0101_6'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : negation(d['c_0101_5']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_8'], '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_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' : 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' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_1001_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0101_12'], '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'], 'c_1100_12' : negation(d['c_0011_8']), '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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_2'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_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_3, c_0011_8, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0101_6, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1181444169742886/41588510794754495*c_1001_3^7 + 9787264538227837/41588510794754495*c_1001_3^6 + 50387331786191183/41588510794754495*c_1001_3^5 + 166257358810648188/41588510794754495*c_1001_3^4 + 345461654894134248/41588510794754495*c_1001_3^3 + 82393011225286156/8317702158950899*c_1001_3^2 + 226524982561490472/41588510794754495*c_1001_3 + 25541097167072133/41588510794754495, c_0011_0 - 1, c_0011_10 - 496/44305*c_1001_3^7 - 504/8861*c_1001_3^6 - 11283/44305*c_1001_3^5 - 24713/44305*c_1001_3^4 - 24667/44305*c_1001_3^3 + 133/44305*c_1001_3^2 - 8323/44305*c_1001_3 - 34311/44305, c_0011_11 - 115/8861*c_1001_3^7 - 5351/44305*c_1001_3^6 - 5528/8861*c_1001_3^5 - 96911/44305*c_1001_3^4 - 40788/8861*c_1001_3^3 - 254939/44305*c_1001_3^2 - 119107/44305*c_1001_3 - 4936/8861, c_0011_3 - 882/44305*c_1001_3^7 - 6482/44305*c_1001_3^6 - 31533/44305*c_1001_3^5 - 98076/44305*c_1001_3^4 - 191392/44305*c_1001_3^3 - 235902/44305*c_1001_3^2 - 214923/44305*c_1001_3 - 148658/44305, c_0011_8 + 1957/44305*c_1001_3^7 + 2989/8861*c_1001_3^6 + 73191/44305*c_1001_3^5 + 228403/44305*c_1001_3^4 + 435133/44305*c_1001_3^3 + 479059/44305*c_1001_3^2 + 311621/44305*c_1001_3 + 36340/8861, c_0101_1 - 416/8861*c_1001_3^7 - 15427/44305*c_1001_3^6 - 75328/44305*c_1001_3^5 - 45595/8861*c_1001_3^4 - 417579/44305*c_1001_3^3 - 393328/44305*c_1001_3^2 - 155241/44305*c_1001_3 - 46128/44305, c_0101_12 + 2573/44305*c_1001_3^7 + 17503/44305*c_1001_3^6 + 17355/8861*c_1001_3^5 + 257237/44305*c_1001_3^4 + 488492/44305*c_1001_3^3 + 545923/44305*c_1001_3^2 + 372694/44305*c_1001_3 + 36373/8861, c_0101_2 - 177/8861*c_1001_3^7 - 6926/44305*c_1001_3^6 - 31369/44305*c_1001_3^5 - 93527/44305*c_1001_3^4 - 145146/44305*c_1001_3^3 - 83174/44305*c_1001_3^2 + 38512/44305*c_1001_3 - 2927/44305, c_0101_5 - 403/8861*c_1001_3^7 - 14668/44305*c_1001_3^6 - 72974/44305*c_1001_3^5 - 226112/44305*c_1001_3^4 - 441912/44305*c_1001_3^3 - 518382/44305*c_1001_3^2 - 353362/44305*c_1001_3 - 155449/44305, c_0101_6 - 2652/44305*c_1001_3^7 - 20334/44305*c_1001_3^6 - 103132/44305*c_1001_3^5 - 65887/8861*c_1001_3^4 - 133553/8861*c_1001_3^3 - 160199/8861*c_1001_3^2 - 527783/44305*c_1001_3 - 216539/44305, c_1001_0 - 403/8861*c_1001_3^7 - 14668/44305*c_1001_3^6 - 72974/44305*c_1001_3^5 - 226112/44305*c_1001_3^4 - 441912/44305*c_1001_3^3 - 518382/44305*c_1001_3^2 - 353362/44305*c_1001_3 - 155449/44305, c_1001_1 - 324/44305*c_1001_3^7 - 3647/44305*c_1001_3^6 - 17732/44305*c_1001_3^5 - 66951/44305*c_1001_3^4 - 144812/44305*c_1001_3^3 - 208361/44305*c_1001_3^2 - 195591/44305*c_1001_3 - 122242/44305, c_1001_3^8 + 9*c_1001_3^7 + 49*c_1001_3^6 + 175*c_1001_3^5 + 413*c_1001_3^4 + 626*c_1001_3^3 + 590*c_1001_3^2 + 345*c_1001_3 + 121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.370 Total time: 6.580 seconds, Total memory usage: 83.19MB