Magma V2.19-8 Tue Aug 20 2013 23:55:46 on localhost [Seed = 1048073738] Type ? for help. Type -D to quit. Loading file "L14n13065__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13065 geometric_solution 10.99079102 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 0 1 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 1 1 0 0 1 -1 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586631010407 1.130113813146 0 4 6 5 0132 0132 0132 0132 0 1 1 1 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822961337925 1.142667926825 0 0 8 7 2031 0132 0132 0132 0 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 1 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638170924195 0.697044699837 9 4 0 10 0132 1302 0132 0132 0 1 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 -1 1 -1 0 1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346410911790 0.727072230104 8 1 9 3 1023 0132 0321 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848930216530 0.531819840455 8 7 1 10 0213 1302 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.088584291106 0.454100259376 7 9 11 1 1230 3120 0132 0132 0 1 1 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 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 0.895795099245 0.793916158625 9 6 2 5 3012 3012 0132 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265110826278 0.925091071436 5 4 11 2 0213 1023 3201 0132 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 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 0.911415708894 0.454100259376 3 6 4 7 0132 3120 0321 1230 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 0 0 0 0 0 0 0 1 0 -1 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049512595792 0.667564488355 11 11 3 5 2103 0132 0132 2103 0 1 0 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 0 0 0 0 0 1 -1 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 0.510389507694 0.420277203422 8 10 10 6 2310 0132 2103 0132 0 1 0 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 -1 1 0 0 0 0 0 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590663239347 1.173679884634 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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_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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0110_4'], 'c_1100_8' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0011_7'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0101_10']), 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0110_7'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0011_7, c_0101_10, c_0101_2, c_0110_10, c_0110_4, c_0110_7, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 820567109/2964032229*c_1001_10^9 + 270970003661/171913869282*c_1001_10^8 - 346857941761/85956934641*c_1001_10^7 + 35681301239/5056290273*c_1001_10^6 - 291065938975/57304623094*c_1001_10^5 + 539270163602/85956934641*c_1001_10^4 - 2509810982398/85956934641*c_1001_10^3 - 905453450987/57304623094*c_1001_10^2 - 627309305097/57304623094*c_1001_10 + 833929970609/85956934641, c_0011_0 - 1, c_0011_10 - 10648852/698836867*c_1001_10^9 + 191752252/2096510601*c_1001_10^8 - 173131950/698836867*c_1001_10^7 + 55795757/123324153*c_1001_10^6 - 833294384/2096510601*c_1001_10^5 + 283113417/698836867*c_1001_10^4 - 3347376542/2096510601*c_1001_10^3 - 1505036969/2096510601*c_1001_10^2 - 6035810/72293469*c_1001_10 + 2134585072/2096510601, c_0011_3 + 2323703/698836867*c_1001_10^9 - 31970381/2096510601*c_1001_10^8 + 42263486/2096510601*c_1001_10^7 + 1993636/123324153*c_1001_10^6 - 388984753/2096510601*c_1001_10^5 + 603354112/2096510601*c_1001_10^4 - 86345248/698836867*c_1001_10^3 + 2050743505/2096510601*c_1001_10^2 - 9025699/72293469*c_1001_10 + 193314206/698836867, c_0011_5 - 21980986/2096510601*c_1001_10^9 + 116301628/2096510601*c_1001_10^8 - 256822979/2096510601*c_1001_10^7 + 7960838/41108051*c_1001_10^6 - 223558733/2096510601*c_1001_10^5 + 659866751/2096510601*c_1001_10^4 - 3201573305/2096510601*c_1001_10^3 - 1700160181/2096510601*c_1001_10^2 - 6720914/24097823*c_1001_10 + 3163598642/2096510601, c_0011_6 + 1, c_0011_7 + 10648852/698836867*c_1001_10^9 - 191752252/2096510601*c_1001_10^8 + 173131950/698836867*c_1001_10^7 - 55795757/123324153*c_1001_10^6 + 833294384/2096510601*c_1001_10^5 - 283113417/698836867*c_1001_10^4 + 3347376542/2096510601*c_1001_10^3 + 1505036969/2096510601*c_1001_10^2 + 6035810/72293469*c_1001_10 - 2134585072/2096510601, c_0101_10 + 406374/698836867*c_1001_10^9 - 208954/2096510601*c_1001_10^8 - 10470889/2096510601*c_1001_10^7 + 499841/41108051*c_1001_10^6 - 29681891/698836867*c_1001_10^5 + 142108093/2096510601*c_1001_10^4 - 591948503/2096510601*c_1001_10^3 + 1056899222/2096510601*c_1001_10^2 + 11336540/24097823*c_1001_10 + 1106502688/2096510601, c_0101_2 - 2684110/2096510601*c_1001_10^9 - 4950305/698836867*c_1001_10^8 + 140082908/2096510601*c_1001_10^7 - 23237512/123324153*c_1001_10^6 + 619646816/2096510601*c_1001_10^5 - 55202183/2096510601*c_1001_10^4 - 555452348/2096510601*c_1001_10^3 - 2649677657/2096510601*c_1001_10^2 - 4158461/72293469*c_1001_10 + 1758821585/2096510601, c_0110_10 + 15327259/2096510601*c_1001_10^9 - 30548724/698836867*c_1001_10^8 + 79307073/698836867*c_1001_10^7 - 23870678/123324153*c_1001_10^6 + 355965463/2096510601*c_1001_10^5 - 563123203/2096510601*c_1001_10^4 + 790256297/698836867*c_1001_10^3 - 752640460/2096510601*c_1001_10^2 - 4445171/24097823*c_1001_10 - 2275448278/2096510601, c_0110_4 - 29262446/2096510601*c_1001_10^9 + 206603167/2096510601*c_1001_10^8 - 659478758/2096510601*c_1001_10^7 + 26344423/41108051*c_1001_10^6 - 1452941200/2096510601*c_1001_10^5 + 904542434/2096510601*c_1001_10^4 - 930641398/698836867*c_1001_10^3 + 381546896/698836867*c_1001_10^2 - 625783/24097823*c_1001_10 + 375763487/2096510601, c_0110_7 + 406374/698836867*c_1001_10^9 - 208954/2096510601*c_1001_10^8 - 10470889/2096510601*c_1001_10^7 + 499841/41108051*c_1001_10^6 - 29681891/698836867*c_1001_10^5 + 142108093/2096510601*c_1001_10^4 - 591948503/2096510601*c_1001_10^3 + 1056899222/2096510601*c_1001_10^2 + 11336540/24097823*c_1001_10 + 1106502688/2096510601, c_1001_10^10 - 6*c_1001_10^9 + 16*c_1001_10^8 - 28*c_1001_10^7 + 21*c_1001_10^6 - 20*c_1001_10^5 + 109*c_1001_10^4 + 22*c_1001_10^3 + c_1001_10^2 - 68*c_1001_10 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB