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Loading file "K13n584__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n584 geometric_solution 9.36360551 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 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 8 -1 -7 0 0 0 0 7 -7 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336727956104 0.509024426893 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -8 0 8 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.267801524680 1.072507073171 5 0 9 8 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 -8 8 0 0 0 0 0 1 -1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709485651769 0.769886094556 6 4 8 0 3012 2310 1230 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 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 0.423893649841 1.114109304201 7 5 0 3 0132 2310 0132 3201 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 0 -7 7 0 0 0 0 0 0 -1 0 1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801786975572 1.116461818619 9 1 2 4 2103 0132 3201 3201 0 0 0 0 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 0 0 0 8 0 -8 0 0 -1 1 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763245505301 0.552852191375 8 9 1 3 0213 2031 0132 1230 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 8 -8 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 0.229400022033 0.762430810915 4 9 8 1 0132 2103 2310 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544243961788 0.497460632277 6 7 2 3 0213 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.046456546665 0.816514053467 6 7 5 2 1302 2103 2103 0132 0 0 0 0 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 8 0 -8 0 0 0 0 -8 1 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429042092510 1.136995618339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : negation(d['c_0101_7']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1100_9' : negation(d['c_0110_5']), 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0110_5']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_0011_9']), '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'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_9'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0011_6'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_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_6, c_0011_8, c_0011_9, c_0101_1, c_0101_2, c_0101_7, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 22195793/785181*c_1001_1^15 - 74640425/785181*c_1001_1^14 - 30051322/261727*c_1001_1^13 - 164719250/785181*c_1001_1^12 - 939163093/3140724*c_1001_1^11 - 1001108065/3140724*c_1001_1^10 - 639494201/1570362*c_1001_1^9 - 213379187/523454*c_1001_1^8 - 1095619489/3140724*c_1001_1^7 - 191516800/785181*c_1001_1^6 - 162503065/1046908*c_1001_1^5 - 191121277/3140724*c_1001_1^4 - 8848947/1046908*c_1001_1^3 + 17333057/3140724*c_1001_1^2 + 4366325/3140724*c_1001_1 - 257020/785181, c_0011_0 - 1, c_0011_3 + 27470/9939*c_1001_1^15 + 108280/9939*c_1001_1^14 + 51058/3313*c_1001_1^13 + 243704/9939*c_1001_1^12 + 263161/6626*c_1001_1^11 + 135768/3313*c_1001_1^10 + 358301/6626*c_1001_1^9 + 585092/9939*c_1001_1^8 + 983161/19878*c_1001_1^7 + 910091/19878*c_1001_1^6 + 608483/19878*c_1001_1^5 + 60830/3313*c_1001_1^4 + 100697/9939*c_1001_1^3 + 38891/9939*c_1001_1^2 + 5704/9939*c_1001_1 + 3655/19878, c_0011_6 + 26416/9939*c_1001_1^15 + 84848/9939*c_1001_1^14 + 39234/3313*c_1001_1^13 + 254884/9939*c_1001_1^12 + 108420/3313*c_1001_1^11 + 131840/3313*c_1001_1^10 + 352045/6626*c_1001_1^9 + 502879/9939*c_1001_1^8 + 511624/9939*c_1001_1^7 + 430385/9939*c_1001_1^6 + 611497/19878*c_1001_1^5 + 114475/6626*c_1001_1^4 + 55468/9939*c_1001_1^3 + 14267/19878*c_1001_1^2 - 18820/9939*c_1001_1 - 16555/19878, c_0011_8 - 9736/3313*c_1001_1^15 - 128788/9939*c_1001_1^14 - 76276/3313*c_1001_1^13 - 124904/3313*c_1001_1^12 - 588574/9939*c_1001_1^11 - 709321/9939*c_1001_1^10 - 864187/9939*c_1001_1^9 - 997246/9939*c_1001_1^8 - 920690/9939*c_1001_1^7 - 277099/3313*c_1001_1^6 - 627911/9939*c_1001_1^5 - 368794/9939*c_1001_1^4 - 197884/9939*c_1001_1^3 - 59099/9939*c_1001_1^2 - 1010/3313*c_1001_1 + 14008/9939, c_0011_9 + 11378/3313*c_1001_1^15 + 122842/9939*c_1001_1^14 + 64686/3313*c_1001_1^13 + 124360/3313*c_1001_1^12 + 999503/19878*c_1001_1^11 + 1234109/19878*c_1001_1^10 + 1563125/19878*c_1001_1^9 + 782140/9939*c_1001_1^8 + 1609897/19878*c_1001_1^7 + 218563/3313*c_1001_1^6 + 468539/9939*c_1001_1^5 + 273502/9939*c_1001_1^4 + 213425/19878*c_1001_1^3 + 33740/9939*c_1001_1^2 - 4935/6626*c_1001_1 + 1693/19878, c_0101_1 - 74278/9939*c_1001_1^15 - 89928/3313*c_1001_1^14 - 132344/3313*c_1001_1^13 - 741328/9939*c_1001_1^12 - 2103287/19878*c_1001_1^11 - 1176760/9939*c_1001_1^10 - 1563946/9939*c_1001_1^9 - 1582592/9939*c_1001_1^8 - 994867/6626*c_1001_1^7 - 2595295/19878*c_1001_1^6 - 859264/9939*c_1001_1^5 - 986729/19878*c_1001_1^4 - 200828/9939*c_1001_1^3 - 34103/6626*c_1001_1^2 + 17338/9939*c_1001_1 + 2737/3313, c_0101_2 - 1024/9939*c_1001_1^15 - 5606/3313*c_1001_1^14 - 15712/3313*c_1001_1^13 - 60352/9939*c_1001_1^12 - 117268/9939*c_1001_1^11 - 295349/19878*c_1001_1^10 - 158950/9939*c_1001_1^9 - 209300/9939*c_1001_1^8 - 63455/3313*c_1001_1^7 - 331471/19878*c_1001_1^6 - 258233/19878*c_1001_1^5 - 74323/9939*c_1001_1^4 - 43645/19878*c_1001_1^3 + 3374/3313*c_1001_1^2 + 17093/19878*c_1001_1 + 3232/3313, c_0101_7 + 11378/3313*c_1001_1^15 + 122842/9939*c_1001_1^14 + 64686/3313*c_1001_1^13 + 124360/3313*c_1001_1^12 + 999503/19878*c_1001_1^11 + 1234109/19878*c_1001_1^10 + 1563125/19878*c_1001_1^9 + 782140/9939*c_1001_1^8 + 1609897/19878*c_1001_1^7 + 218563/3313*c_1001_1^6 + 468539/9939*c_1001_1^5 + 273502/9939*c_1001_1^4 + 213425/19878*c_1001_1^3 + 33740/9939*c_1001_1^2 - 4935/6626*c_1001_1 + 1693/19878, c_0110_5 + 1024/9939*c_1001_1^15 + 5606/3313*c_1001_1^14 + 15712/3313*c_1001_1^13 + 60352/9939*c_1001_1^12 + 117268/9939*c_1001_1^11 + 295349/19878*c_1001_1^10 + 158950/9939*c_1001_1^9 + 209300/9939*c_1001_1^8 + 63455/3313*c_1001_1^7 + 331471/19878*c_1001_1^6 + 258233/19878*c_1001_1^5 + 74323/9939*c_1001_1^4 + 43645/19878*c_1001_1^3 - 3374/3313*c_1001_1^2 - 17093/19878*c_1001_1 - 3232/3313, c_1001_1^16 + 4*c_1001_1^15 + 7*c_1001_1^14 + 13*c_1001_1^13 + 77/4*c_1001_1^12 + 24*c_1001_1^11 + 123/4*c_1001_1^10 + 133/4*c_1001_1^9 + 135/4*c_1001_1^8 + 121/4*c_1001_1^7 + 93/4*c_1001_1^6 + 61/4*c_1001_1^5 + 31/4*c_1001_1^4 + 3*c_1001_1^3 + 1/4*c_1001_1^2 - 1/4*c_1001_1 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB