Magma V2.19-8 Wed Aug 21 2013 00:58:07 on localhost [Seed = 3599813759] Type ? for help. Type -D to quit. Loading file "L13n4727__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4727 geometric_solution 12.36308149 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 3 0 -3 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 0.560190239296 1.224273033523 0 5 4 2 0132 0132 1230 3120 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 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 0.357883452599 0.322681569669 1 0 7 6 3120 0132 0132 0132 0 0 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 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 0.771302176982 0.795020423016 6 8 5 0 0132 0132 2031 0132 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 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 0.560143475297 0.879916509294 8 9 0 1 3120 0132 0132 3012 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 0 -2 3 -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 0.227320328365 0.589033930854 10 1 10 3 0132 0132 3012 1302 0 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 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 0.277688023518 1.107609461434 3 8 2 11 0132 0213 0132 0132 0 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 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 0.587259913926 0.694006723501 8 12 12 2 0213 0132 1302 0132 0 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 3 -3 0 0 0 0 -1 0 0 1 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353857504394 0.797469325827 7 3 6 4 0213 0132 0213 3120 0 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 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 0.520452210108 0.367678837684 11 4 11 12 3012 0132 0213 0132 0 0 0 0 0 1 -1 0 1 0 -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 2 -2 0 2 0 -2 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 0.505026418110 0.676979765570 5 5 11 12 0132 1230 3201 1023 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 3 -3 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 0.413095919977 0.633450592465 10 9 6 9 2310 0213 0132 1230 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 2 0 -2 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670185491241 1.130104621688 7 7 9 10 2031 0132 0132 1023 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 -3 0 0 3 -5 6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535115202624 1.047685470414 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_1']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : negation(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_0101_11'], 'c_0101_10' : d['c_0011_4'], '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' : negation(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' : negation(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_0011_11'], 'c_1100_8' : negation(d['c_0101_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_0011_4']), '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' : d['c_0011_11'], '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_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0101_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_11'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0101_2']), '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_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : negation(d['c_0011_0'])})} 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_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 640908189930401/1295932369899888*c_1001_12^9 + 45312878455933/13223799692856*c_1001_12^8 - 1680240255603913/431977456633296*c_1001_12^7 - 26750231878066441/1295932369899888*c_1001_12^6 + 10980321697424519/323983092474972*c_1001_12^5 + 2344817786289989/647966184949944*c_1001_12^4 + 6053866391701811/647966184949944*c_1001_12^3 - 71988262481647859/1295932369899888*c_1001_12^2 + 67411115357747909/1295932369899888*c_1001_12 - 20361363015088133/1295932369899888, c_0011_0 - 1, c_0011_11 - 123208339/366229082*c_1001_12^9 + 389426552/183114541*c_1001_12^8 - 598384579/366229082*c_1001_12^7 - 4978520317/366229082*c_1001_12^6 + 2778727876/183114541*c_1001_12^5 + 157823061/183114541*c_1001_12^4 + 885973792/183114541*c_1001_12^3 - 11885466019/366229082*c_1001_12^2 + 12192655793/366229082*c_1001_12 - 4843669597/366229082, c_0011_12 + 195725473/366229082*c_1001_12^9 - 614228991/183114541*c_1001_12^8 + 860849861/366229082*c_1001_12^7 + 8133281309/366229082*c_1001_12^6 - 4221155850/183114541*c_1001_12^5 - 1158288842/183114541*c_1001_12^4 - 1413198545/183114541*c_1001_12^3 + 19713193405/366229082*c_1001_12^2 - 16726302307/366229082*c_1001_12 + 4919744579/366229082, c_0011_4 + 80438855/183114541*c_1001_12^9 - 502423955/183114541*c_1001_12^8 + 343121700/183114541*c_1001_12^7 + 3326208934/183114541*c_1001_12^6 - 3360931194/183114541*c_1001_12^5 - 860023331/183114541*c_1001_12^4 - 1277818947/183114541*c_1001_12^3 + 7884275204/183114541*c_1001_12^2 - 6816357760/183114541*c_1001_12 + 2110268746/183114541, c_0101_0 + 176685639/183114541*c_1001_12^9 - 1133862014/183114541*c_1001_12^8 + 923747642/183114541*c_1001_12^7 + 7290758726/183114541*c_1001_12^6 - 8682867967/183114541*c_1001_12^5 - 1431717899/183114541*c_1001_12^4 - 1938255663/183114541*c_1001_12^3 + 18373335869/183114541*c_1001_12^2 - 17502338925/183114541*c_1001_12 + 5540856314/183114541, c_0101_1 - 1, c_0101_11 - 244482979/366229082*c_1001_12^9 + 757669191/183114541*c_1001_12^8 - 982846835/366229082*c_1001_12^7 - 10089170863/366229082*c_1001_12^6 + 4874045984/183114541*c_1001_12^5 + 1253163767/183114541*c_1001_12^4 + 2049940413/183114541*c_1001_12^3 - 23289228855/366229082*c_1001_12^2 + 20004400707/366229082*c_1001_12 - 6441683529/366229082, c_0101_12 - 305437743/366229082*c_1001_12^9 + 969007569/183114541*c_1001_12^8 - 1464096987/366229082*c_1001_12^7 - 12653710529/366229082*c_1001_12^6 + 7012738780/183114541*c_1001_12^5 + 1555128659/183114541*c_1001_12^4 + 2124830012/183114541*c_1001_12^3 - 30941150725/366229082*c_1001_12^2 + 27871057745/366229082*c_1001_12 - 8989322005/366229082, c_0101_2 - 108242418/183114541*c_1001_12^9 + 693313240/183114541*c_1001_12^8 - 562177000/183114541*c_1001_12^7 - 4442606804/183114541*c_1001_12^6 + 5242627319/183114541*c_1001_12^5 + 728870959/183114541*c_1001_12^4 + 1386693445/183114541*c_1001_12^3 - 10936543848/183114541*c_1001_12^2 + 10764809267/183114541*c_1001_12 - 3923417177/183114541, c_0101_5 - 2821608/183114541*c_1001_12^9 + 2384734/183114541*c_1001_12^8 + 86747640/183114541*c_1001_12^7 - 193034110/183114541*c_1001_12^6 - 556042676/183114541*c_1001_12^5 + 807869518/183114541*c_1001_12^4 + 512931114/183114541*c_1001_12^3 - 121555933/183114541*c_1001_12^2 - 1470412519/183114541*c_1001_12 + 1139224651/183114541, c_1001_0 + 157645805/366229082*c_1001_12^9 - 519633023/183114541*c_1001_12^8 + 986645423/366229082*c_1001_12^7 + 6448236143/366229082*c_1001_12^6 - 4461712117/183114541*c_1001_12^5 - 273429057/183114541*c_1001_12^4 - 525057118/183114541*c_1001_12^3 + 17033478333/366229082*c_1001_12^2 - 18278375543/366229082*c_1001_12 + 6161968049/366229082, c_1001_1 - 48229113/366229082*c_1001_12^9 + 146790086/183114541*c_1001_12^8 - 166763465/366229082*c_1001_12^7 - 1982131217/366229082*c_1001_12^6 + 857089840/183114541*c_1001_12^5 + 251341494/183114541*c_1001_12^4 + 360341664/183114541*c_1001_12^3 - 4501248297/366229082*c_1001_12^2 + 3856811961/366229082*c_1001_12 - 1258828789/366229082, c_1001_12^10 - 7*c_1001_12^9 + 9*c_1001_12^8 + 38*c_1001_12^7 - 73*c_1001_12^6 + 22*c_1001_12^5 - 8*c_1001_12^4 + 109*c_1001_12^3 - 160*c_1001_12^2 + 94*c_1001_12 - 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB