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Loading file "K13n586__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n586 geometric_solution 9.11183778 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434579619472 0.390559823042 0 5 7 6 0132 0132 0132 0132 0 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 0 0 0 0 0 5 -5 5 -4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.208588556443 1.245274164340 6 0 5 8 0213 0132 0132 0132 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 -1 1 0 0 0 0 0 5 -5 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.197322874967 0.827041660109 9 8 7 0 0132 0132 0321 0132 0 0 0 0 0 0 0 0 -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 0 0 0 4 0 -4 0 0 0 0 0 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727052796411 1.144006787939 6 5 0 9 1230 1230 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208588556443 1.245274164340 9 1 4 2 2031 0132 3012 0132 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 1 -1 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598661437484 0.413520830055 2 4 1 7 0213 3012 0132 2310 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 -5 0 5 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 0.363526398206 0.572003393970 6 8 3 1 3201 1302 0321 0132 0 0 0 0 0 0 0 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 5 -5 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197322874967 0.827041660109 9 3 2 7 3201 0132 0132 2031 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 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604294278221 0.622637082170 3 4 5 8 0132 1302 1302 2310 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 -4 0 4 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 0.197322874967 0.827041660109 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0110_8'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0110_8'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : negation(d['c_1001_1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : d['c_0011_7'], 's_3_1' : 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'], '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' : 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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_1, c_0101_3, c_0110_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 33/16*c_1001_0^3 - 121/16*c_1001_0^2 - 171/16*c_1001_0 - 23/4, c_0011_0 - 1, c_0011_3 + 1/2*c_1001_0^3 - 1/2*c_1001_0^2 - 3/2*c_1001_0 - 2, c_0011_4 + 1/2*c_1001_0^3 - 1/2*c_1001_0^2 - 3/2*c_1001_0 - 1, c_0011_6 - c_1001_0^3 + 5*c_1001_0 + 7, c_0011_7 - 1/2*c_1001_0^3 + 1/2*c_1001_0^2 + 3/2*c_1001_0 + 2, c_0101_1 + c_1001_0^3 - 5*c_1001_0 - 7, c_0101_3 + c_1001_0^3 - 5*c_1001_0 - 7, c_0110_8 - c_1001_0^3 + 5*c_1001_0 + 7, c_1001_0^4 + c_1001_0^3 - 5*c_1001_0^2 - 12*c_1001_0 - 8, c_1001_1 - 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_1, c_0101_3, c_0110_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 436017/776687*c_1001_1^11 - 402670195/9320244*c_1001_1^10 + 189717743/776687*c_1001_1^9 - 9156591361/9320244*c_1001_1^8 - 451765339/4660122*c_1001_1^7 + 12162943921/9320244*c_1001_1^6 - 53686070327/9320244*c_1001_1^5 - 147845435303/9320244*c_1001_1^4 - 22752699119/2330061*c_1001_1^3 - 3956256019/9320244*c_1001_1^2 + 375267507/776687*c_1001_1 - 8589566479/9320244, c_0011_0 - 1, c_0011_3 - 2208513/6213496*c_1001_1^11 + 12922311/6213496*c_1001_1^10 - 55530361/6213496*c_1001_1^9 + 911061/6213496*c_1001_1^8 + 64639905/6213496*c_1001_1^7 - 166552155/3106748*c_1001_1^6 - 426553111/3106748*c_1001_1^5 - 485323895/6213496*c_1001_1^4 + 9117309/6213496*c_1001_1^3 + 54345119/6213496*c_1001_1^2 - 38670009/6213496*c_1001_1 + 1637303/6213496, c_0011_4 - 1538813/6213496*c_1001_1^11 + 8763035/6213496*c_1001_1^10 - 37134421/6213496*c_1001_1^9 - 6454215/6213496*c_1001_1^8 + 49946077/6213496*c_1001_1^7 - 114976867/3106748*c_1001_1^6 - 316070763/3106748*c_1001_1^5 - 405431739/6213496*c_1001_1^4 - 16882119/6213496*c_1001_1^3 + 22583923/6213496*c_1001_1^2 - 28846317/6213496*c_1001_1 - 1313669/6213496, c_0011_6 - 260547/3106748*c_1001_1^11 + 1637585/3106748*c_1001_1^10 - 7216275/3106748*c_1001_1^9 + 3023883/3106748*c_1001_1^8 + 7157655/3106748*c_1001_1^7 - 20547569/1553374*c_1001_1^6 - 42179479/1553374*c_1001_1^5 - 14782489/3106748*c_1001_1^4 + 1433913/135076*c_1001_1^3 + 21022473/3106748*c_1001_1^2 - 1632347/3106748*c_1001_1 + 1736033/3106748, c_0011_7 - 628031/6213496*c_1001_1^11 + 3941217/6213496*c_1001_1^10 - 17398231/6213496*c_1001_1^9 + 7293347/6213496*c_1001_1^8 + 16711607/6213496*c_1001_1^7 - 50431929/3106748*c_1001_1^6 - 101097329/3106748*c_1001_1^5 - 43968601/6213496*c_1001_1^4 + 54865339/6213496*c_1001_1^3 + 15355769/6213496*c_1001_1^2 - 21431023/6213496*c_1001_1 + 4189537/6213496, c_0101_1 + 119603/3106748*c_1001_1^11 - 746421/3106748*c_1001_1^10 + 3265903/3106748*c_1001_1^9 - 1126631/3106748*c_1001_1^8 - 3888539/3106748*c_1001_1^7 + 9788795/1553374*c_1001_1^6 + 20155299/1553374*c_1001_1^5 + 4485353/3106748*c_1001_1^4 - 12613787/3106748*c_1001_1^3 + 1543959/3106748*c_1001_1^2 + 7683939/3106748*c_1001_1 - 1203025/3106748, c_0101_3 + 260547/3106748*c_1001_1^11 - 1637585/3106748*c_1001_1^10 + 7216275/3106748*c_1001_1^9 - 3023883/3106748*c_1001_1^8 - 7157655/3106748*c_1001_1^7 + 20547569/1553374*c_1001_1^6 + 42179479/1553374*c_1001_1^5 + 14782489/3106748*c_1001_1^4 - 1433913/135076*c_1001_1^3 - 21022473/3106748*c_1001_1^2 + 1632347/3106748*c_1001_1 - 1736033/3106748, c_0110_8 - 119603/3106748*c_1001_1^11 + 746421/3106748*c_1001_1^10 - 3265903/3106748*c_1001_1^9 + 1126631/3106748*c_1001_1^8 + 3888539/3106748*c_1001_1^7 - 9788795/1553374*c_1001_1^6 - 20155299/1553374*c_1001_1^5 - 4485353/3106748*c_1001_1^4 + 12613787/3106748*c_1001_1^3 - 1543959/3106748*c_1001_1^2 - 7683939/3106748*c_1001_1 + 1203025/3106748, c_1001_0 + 211733/3106748*c_1001_1^11 - 1147615/3106748*c_1001_1^10 + 4765545/3106748*c_1001_1^9 + 2332007/3106748*c_1001_1^8 - 6687317/3106748*c_1001_1^7 + 14225915/1553374*c_1001_1^6 + 49046125/1553374*c_1001_1^5 + 76809139/3106748*c_1001_1^4 + 6564463/3106748*c_1001_1^3 - 6712567/3106748*c_1001_1^2 + 8320129/3106748*c_1001_1 + 1064569/3106748, c_1001_1^12 - 6*c_1001_1^11 + 26*c_1001_1^10 - 4*c_1001_1^9 - 30*c_1001_1^8 + 157*c_1001_1^7 + 364*c_1001_1^6 + 157*c_1001_1^5 - 30*c_1001_1^4 - 4*c_1001_1^3 + 26*c_1001_1^2 - 6*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB