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Loading file "K13n3249__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3249 geometric_solution 10.63056741 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 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 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 0.625360084026 0.284984372796 0 5 6 2 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475813702459 0.496063311081 1 0 8 7 3120 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 -1 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 0.624180220933 1.394457173819 6 9 4 0 0132 0132 2103 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 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 0.585667473547 0.862338094353 3 10 0 10 2103 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 -1 1 -1 0 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 0.765201844027 1.376008480316 11 1 8 7 0132 0132 1023 2310 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 1 -1 1 -1 0 0 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.925104091804 1.455911057938 3 9 11 1 0132 2310 0321 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 -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 0.126887665483 0.863309732104 5 9 2 9 3201 0213 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.155111049605 0.736388411111 11 10 5 2 1302 3201 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431027868879 0.576683675150 7 3 7 6 3120 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014234026774 1.109931618198 11 4 8 4 3201 0132 2310 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 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 0.765201844027 1.376008480316 5 8 6 10 0132 2031 0321 2310 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 0 -4 5 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105273823749 0.457693739324 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0110_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_1001_10']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_1001_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_0']), 'c_0101_10' : d['c_0101_10'], '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_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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0110_7']), 'c_1010_5' : negation(d['c_0110_7']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : negation(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' : 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' : 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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_10']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_7'], 'c_0101_8' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_7'], 'c_0110_8' : 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' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_1']})} 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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_7, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 151735342/7978495*c_1001_10^11 - 49220842/7978495*c_1001_10^10 + 324404986/1139785*c_1001_10^9 - 736714597/7978495*c_1001_10^8 + 2047968966/1139785*c_1001_10^7 - 664639196/1139785*c_1001_10^6 + 3568870104/1139785*c_1001_10^5 - 1160427489/1139785*c_1001_10^4 + 19521487033/7978495*c_1001_10^3 - 6403299453/7978495*c_1001_10^2 + 538951904/1139785*c_1001_10 - 1244185298/7978495, c_0011_0 - 1, c_0011_10 + 159/3737*c_1001_10^11 + 16057/26159*c_1001_10^9 + 13710/3737*c_1001_10^7 + 17735/3737*c_1001_10^5 + 4446/3737*c_1001_10^3 - 59754/26159*c_1001_10, c_0011_3 - 159/3737*c_1001_10^11 - 16057/26159*c_1001_10^9 - 13710/3737*c_1001_10^7 - 17735/3737*c_1001_10^5 - 4446/3737*c_1001_10^3 + 59754/26159*c_1001_10 + 1, c_0011_7 + 8130/26159*c_1001_10^11 + 610/3737*c_1001_10^10 + 120241/26159*c_1001_10^9 + 8985/3737*c_1001_10^8 + 106814/3737*c_1001_10^7 + 55489/3737*c_1001_10^6 + 174008/3737*c_1001_10^5 + 87195/3737*c_1001_10^4 + 898442/26159*c_1001_10^3 + 58305/3737*c_1001_10^2 + 132654/26159*c_1001_10 + 4520/3737, c_0011_8 - 2412/26159*c_1001_10^10 - 35160/26159*c_1001_10^8 - 30658/3737*c_1001_10^6 - 45797/3737*c_1001_10^4 - 224540/26159*c_1001_10^2 - 17750/26159, c_0101_0 + 610/3737*c_1001_10^10 + 8985/3737*c_1001_10^8 + 55489/3737*c_1001_10^6 + 87195/3737*c_1001_10^4 + 58305/3737*c_1001_10^2 + 4520/3737, c_0101_1 + 2561/26159*c_1001_10^10 + 38243/26159*c_1001_10^8 + 34377/3737*c_1001_10^6 + 58751/3737*c_1001_10^4 + 296889/26159*c_1001_10^2 + 23510/26159, c_0101_10 + 2561/26159*c_1001_10^10 + 38243/26159*c_1001_10^8 + 34377/3737*c_1001_10^6 + 58751/3737*c_1001_10^4 + 296889/26159*c_1001_10^2 + 23510/26159, c_0101_2 + 260/707*c_1001_10^11 + 2561/26159*c_1001_10^10 + 3881/707*c_1001_10^9 + 38243/26159*c_1001_10^8 + 3488/101*c_1001_10^7 + 34377/3737*c_1001_10^6 + 5982/101*c_1001_10^5 + 58751/3737*c_1001_10^4 + 31817/707*c_1001_10^3 + 296889/26159*c_1001_10^2 + 4738/707*c_1001_10 + 23510/26159, c_0110_7 - 7436/26159*c_1001_10^11 - 112653/26159*c_1001_10^9 - 103211/3737*c_1001_10^7 - 192174/3737*c_1001_10^5 - 1128005/26159*c_1001_10^3 - 254202/26159*c_1001_10, c_1001_0 - 159/3737*c_1001_10^11 + 153/3737*c_1001_10^10 - 16057/26159*c_1001_10^9 + 14887/26159*c_1001_10^8 - 13710/3737*c_1001_10^7 + 12135/3737*c_1001_10^6 - 17735/3737*c_1001_10^5 + 11425/3737*c_1001_10^4 - 4446/3737*c_1001_10^3 + 2586/3737*c_1001_10^2 + 33595/26159*c_1001_10 - 19142/26159, c_1001_10^12 + 15*c_1001_10^10 + 95*c_1001_10^8 + 168*c_1001_10^6 + 135*c_1001_10^4 + 30*c_1001_10^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.650 Total time: 0.860 seconds, Total memory usage: 32.09MB