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Loading file "K12n571__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n571 geometric_solution 8.36639819 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 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 1 0 -1 6 0 0 -6 1 -1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233028706471 1.280848231728 0 4 6 5 0132 0132 0132 0132 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 0 0 0 -6 0 0 6 0 -5 0 5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344115842270 0.574676225564 0 0 5 4 3012 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 -1 0 1 1 0 -6 5 6 -6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344115842270 0.574676225564 7 8 7 0 0132 0132 1023 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163875532182 1.254990644273 9 1 2 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 -5 5 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618589945758 0.423952965879 8 8 1 2 3012 0213 0132 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 -6 6 -1 0 0 1 -1 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233028706471 1.280848231728 9 8 4 1 1230 1023 0132 0132 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 1 -1 0 5 0 -5 0 0 1 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.396452350027 1.805977867032 3 9 3 9 0132 1230 1023 2103 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 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480839483344 0.197473564679 6 3 5 5 1023 0132 0213 1230 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 -1 0 0 1 -1 0 0 1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233028706471 1.280848231728 4 6 7 7 0132 3012 3012 2103 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 -6 6 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.144015715514 0.659919786933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_3'], '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' : negation(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_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_1100_1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0101_0'], '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' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0011_5'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_5, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 4093/636*c_1100_1^5 - 143/636*c_1100_1^4 - 12517/636*c_1100_1^3 - 7709/954*c_1100_1^2 + 12917/477*c_1100_1 + 15185/636, c_0011_0 - 1, c_0011_3 - 3/53*c_1100_1^5 + 45/106*c_1100_1^4 + 42/53*c_1100_1^3 - 151/106*c_1100_1^2 - 149/106*c_1100_1 + 119/106, c_0011_5 + 10/53*c_1100_1^5 + 9/106*c_1100_1^4 - 34/53*c_1100_1^3 + 79/318*c_1100_1^2 + 55/106*c_1100_1 - 61/106, c_0101_0 - 35/106*c_1100_1^5 + 12/53*c_1100_1^4 + 119/106*c_1100_1^3 - 19/318*c_1100_1^2 - 83/106*c_1100_1 - 46/53, c_0101_2 - 10/53*c_1100_1^5 - 9/106*c_1100_1^4 + 34/53*c_1100_1^3 - 79/318*c_1100_1^2 - 55/106*c_1100_1 - 45/106, c_0101_3 - 10/53*c_1100_1^5 - 9/106*c_1100_1^4 + 34/53*c_1100_1^3 - 79/318*c_1100_1^2 - 161/106*c_1100_1 - 45/106, c_0101_4 - 35/106*c_1100_1^5 + 12/53*c_1100_1^4 + 119/106*c_1100_1^3 - 19/318*c_1100_1^2 - 189/106*c_1100_1 - 46/53, c_0101_6 - 21/212*c_1100_1^5 - 81/212*c_1100_1^4 + 135/212*c_1100_1^3 + 173/106*c_1100_1^2 - 31/53*c_1100_1 - 299/212, c_1001_0 - 29/212*c_1100_1^5 - 21/212*c_1100_1^4 + 35/212*c_1100_1^3 + 217/318*c_1100_1^2 - 10/53*c_1100_1 - 211/212, c_1100_1^6 - 4*c_1100_1^4 - 1/3*c_1100_1^3 + 6*c_1100_1^2 + 3*c_1100_1 - 3 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3/16*c_1100_1^9 - 105/16*c_1100_1^8 - 185/16*c_1100_1^7 - 23/4*c_1100_1^6 + 29/4*c_1100_1^5 - 373/16*c_1100_1^4 - 689/16*c_1100_1^3 - 221/8*c_1100_1^2 + 345/16*c_1100_1 + 31/2, c_0011_0 - 1, c_0011_3 + c_1100_1^9 + 5/4*c_1100_1^8 + 3/4*c_1100_1^7 - 1/4*c_1100_1^6 + 5*c_1100_1^5 + 4*c_1100_1^4 + 15/4*c_1100_1^3 - 1/4*c_1100_1^2 + 5/2*c_1100_1 + 1/4, c_0011_5 - 1/4*c_1100_1^8 - 1/4*c_1100_1^7 - 1/4*c_1100_1^6 - 3/2*c_1100_1^4 - 3/4*c_1100_1^3 - 7/4*c_1100_1^2 - 5/4, c_0101_0 - c_1100_1, c_0101_2 + 1, c_0101_3 + 3/4*c_1100_1^9 + c_1100_1^8 + 1/2*c_1100_1^7 - 1/4*c_1100_1^6 + 7/2*c_1100_1^5 + 13/4*c_1100_1^4 + 3*c_1100_1^3 - 1/4*c_1100_1^2 + 5/4*c_1100_1 + 1/4, c_0101_4 - 1/4*c_1100_1^9 - 1/4*c_1100_1^8 - 1/4*c_1100_1^7 - 3/2*c_1100_1^5 - 3/4*c_1100_1^4 - 7/4*c_1100_1^3 - 5/4*c_1100_1, c_0101_6 - 1/4*c_1100_1^8 - 1/4*c_1100_1^7 - 1/4*c_1100_1^6 - 3/2*c_1100_1^4 - 3/4*c_1100_1^3 - 3/4*c_1100_1^2 - 5/4, c_1001_0 - 1/4*c_1100_1^9 - 1/4*c_1100_1^8 - 1/4*c_1100_1^7 - 3/2*c_1100_1^5 - 3/4*c_1100_1^4 - 7/4*c_1100_1^3 - 9/4*c_1100_1, c_1100_1^10 + c_1100_1^9 - c_1100_1^7 + 5*c_1100_1^6 + 3*c_1100_1^5 + c_1100_1^4 - 3*c_1100_1^3 + 2*c_1100_1^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB