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Loading file "K11n133__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n133 geometric_solution 10.99204028 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -9 0 9 0 1 -9 0 8 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637635450571 0.494323477717 0 2 6 5 0132 0321 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 9 0 -9 0 0 8 0 -8 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596710503413 0.728374901180 7 0 3 1 0132 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 -1 9 0 -8 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964598082025 1.315866795628 8 5 2 0 0132 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -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 9 -9 9 0 0 -9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596710503413 0.728374901180 7 8 0 9 3012 0321 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848800219383 0.788883799812 10 3 1 10 0132 0132 0132 3201 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 8 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326962631453 0.821543317911 7 11 8 1 1023 0132 2310 0132 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 -1 1 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637635450571 0.494323477717 2 6 11 4 0132 1023 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.367887578612 0.587491894448 3 6 9 4 0132 3201 0132 0321 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 0 0 0 0 8 -8 -1 1 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637635450571 0.494323477717 10 11 4 8 3120 2310 0132 0132 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 1 -1 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.158082123067 1.019753835453 5 5 11 9 0132 2310 3120 3120 0 0 0 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 8 0 0 -8 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.525969701679 1.607245729901 7 6 10 9 2031 0132 3120 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.158082123067 1.019753835453 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_6']), 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_0_11' : 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_9'], '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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_2'], 'c_1100_8' : d['c_1001_2'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_6']), '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_1001_2'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : negation(d['c_1001_6']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : 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' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_0, c_1001_1, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 95/9*c_1001_6^4 - 19/9*c_1001_6^3 - 35/9*c_1001_6^2 - 313/9*c_1001_6 + 40/9, c_0011_0 - 1, c_0011_10 - c_1001_6, c_0011_4 - 2/3*c_1001_6^4 + 1/3*c_1001_6^3 - 1/3*c_1001_6^2 + 7/3*c_1001_6 - 1/3, c_0011_9 + 2/3*c_1001_6^4 - 1/3*c_1001_6^3 - 2/3*c_1001_6^2 - 4/3*c_1001_6 + 1/3, c_0101_0 + 2/3*c_1001_6^4 - 1/3*c_1001_6^3 + 1/3*c_1001_6^2 - 7/3*c_1001_6 + 4/3, c_0101_1 + 2/3*c_1001_6^4 - 1/3*c_1001_6^3 + 1/3*c_1001_6^2 - 7/3*c_1001_6 + 1/3, c_0101_11 + c_1001_6^4 - 4*c_1001_6 + 1, c_0101_6 - c_1001_6, c_1001_0 + 1, c_1001_1 + 2/3*c_1001_6^4 - 1/3*c_1001_6^3 + 1/3*c_1001_6^2 - 7/3*c_1001_6 + 4/3, c_1001_2 + 1, c_1001_6^5 - c_1001_6^4 - 3*c_1001_6^2 + 3*c_1001_6 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_0, c_1001_1, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 204731/100936*c_1001_6^5 - 649225/201872*c_1001_6^4 - 2005895/403744*c_1001_6^3 - 1956455/403744*c_1001_6^2 + 1800119/403744*c_1001_6 + 253691/25234, c_0011_0 - 1, c_0011_10 + 7/341*c_1001_6^5 + 85/682*c_1001_6^4 + 443/1364*c_1001_6^3 - 17/1364*c_1001_6^2 + 609/1364*c_1001_6 - 72/341, c_0011_4 + 27/341*c_1001_6^5 - 239/682*c_1001_6^4 - 417/1364*c_1001_6^3 - 1093/1364*c_1001_6^2 - 1371/1364*c_1001_6 + 298/341, c_0011_9 + 75/341*c_1001_6^5 + 273/682*c_1001_6^4 + 991/1364*c_1001_6^3 + 1731/1364*c_1001_6^2 - 47/1364*c_1001_6 + 12/31, c_0101_0 + 24/341*c_1001_6^5 + 4/341*c_1001_6^4 + 114/341*c_1001_6^3 + 18/31*c_1001_6^2 + 57/341*c_1001_6 + 382/341, c_0101_1 + 24/341*c_1001_6^5 + 4/341*c_1001_6^4 + 114/341*c_1001_6^3 + 18/31*c_1001_6^2 + 57/341*c_1001_6 + 41/341, c_0101_11 - 27/341*c_1001_6^5 - 9/682*c_1001_6^4 + 169/1364*c_1001_6^3 + 43/124*c_1001_6^2 + 1619/1364*c_1001_6 - 174/341, c_0101_6 + 7/341*c_1001_6^5 + 85/682*c_1001_6^4 + 443/1364*c_1001_6^3 - 17/1364*c_1001_6^2 + 609/1364*c_1001_6 - 72/341, c_1001_0 + 51/341*c_1001_6^5 + 17/682*c_1001_6^4 + 287/1364*c_1001_6^3 + 29/124*c_1001_6^2 - 27/1364*c_1001_6 - 126/341, c_1001_1 + 20/341*c_1001_6^5 - 38/341*c_1001_6^4 - 153/341*c_1001_6^3 - 114/341*c_1001_6^2 - 216/341*c_1001_6 - 95/341, c_1001_2 + 51/341*c_1001_6^5 + 17/682*c_1001_6^4 + 287/1364*c_1001_6^3 + 29/124*c_1001_6^2 - 27/1364*c_1001_6 - 126/341, c_1001_6^6 + 3/2*c_1001_6^5 + 13/4*c_1001_6^4 + 17/4*c_1001_6^3 + 7/4*c_1001_6^2 + c_1001_6 + 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_0, c_1001_1, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 9819/296*c_1001_6^5 + 52627/592*c_1001_6^4 + 56547/296*c_1001_6^3 + 8401/148*c_1001_6^2 - 25815/592*c_1001_6 - 6245/148, c_0011_0 - 1, c_0011_10 - c_1001_6, c_0011_4 - 1/2*c_1001_6^4 - c_1001_6^3 - 2*c_1001_6^2 + 1/2*c_1001_6, c_0011_9 + 1/2*c_1001_6^4 + 1/2*c_1001_6^3 + c_1001_6^2 - 3/2*c_1001_6 + 1/2, c_0101_0 - 1/2*c_1001_6^4 - c_1001_6^3 - 2*c_1001_6^2 + 3/2*c_1001_6 + 1, c_0101_1 + 1/2*c_1001_6^4 + 1/2*c_1001_6^3 + 2*c_1001_6^2 - 5/2*c_1001_6 + 1/2, c_0101_11 - 1/2*c_1001_6^5 - 1/2*c_1001_6^4 - c_1001_6^3 + 7/2*c_1001_6^2 - 1/2*c_1001_6, c_0101_6 + c_1001_6^5 + 2*c_1001_6^4 + 4*c_1001_6^3 - 2*c_1001_6^2 - c_1001_6, c_1001_0 + 1, c_1001_1 - 1/2*c_1001_6^5 - 1/2*c_1001_6^4 - c_1001_6^3 + 5/2*c_1001_6^2 + 1/2*c_1001_6 - 1, c_1001_2 - 1/2*c_1001_6^5 - c_1001_6^4 - 2*c_1001_6^3 + 1/2*c_1001_6^2 + c_1001_6 - 1, c_1001_6^6 + 2*c_1001_6^5 + 4*c_1001_6^4 - 2*c_1001_6^3 - 2*c_1001_6^2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_0, c_1001_1, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1/2*c_1001_6^5 - c_1001_6^4 - 35/16*c_1001_6^3 + 1/2*c_1001_6^2 - 3/16, c_0011_0 - 1, c_0011_10 + c_1001_6^5 + 2*c_1001_6^4 + 4*c_1001_6^3 - 2*c_1001_6^2 - c_1001_6, c_0011_4 - 1/2*c_1001_6^4 - c_1001_6^3 - 2*c_1001_6^2 + 1/2*c_1001_6, c_0011_9 + c_1001_6^5 + 2*c_1001_6^4 + 9/2*c_1001_6^3 - c_1001_6^2 - c_1001_6 - 1/2, c_0101_0 - 1/2*c_1001_6^4 - c_1001_6^3 - 2*c_1001_6^2 + 3/2*c_1001_6 + 1, c_0101_1 + 1/2*c_1001_6^4 + c_1001_6^3 + 2*c_1001_6^2 - 1/2*c_1001_6, c_0101_11 + 1/2*c_1001_6^5 + 3/2*c_1001_6^4 + 3*c_1001_6^3 + 3/2*c_1001_6^2 - 1/2*c_1001_6, c_0101_6 - c_1001_6, c_1001_0 - 1/2*c_1001_6^5 - c_1001_6^4 - 2*c_1001_6^3 + 1/2*c_1001_6^2 + c_1001_6 - 1, c_1001_1 - 1/2*c_1001_6^4 - c_1001_6^3 - 2*c_1001_6^2 + 3/2*c_1001_6 + 1, c_1001_2 + 1, c_1001_6^6 + 2*c_1001_6^5 + 4*c_1001_6^4 - 2*c_1001_6^3 - 2*c_1001_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.620 seconds, Total memory usage: 32.09MB