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Loading file "11_205__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_205 geometric_solution 11.96038165 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 13 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 0.961274365300 0.877469966508 0 5 7 6 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 0 1 -1 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 0.528732015933 0.359483568794 4 0 6 8 0213 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.946301722954 0.587870688613 6 9 10 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528732015933 0.359483568794 2 10 0 5 0213 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.447514991713 0.807585675608 7 1 4 11 0321 0132 2031 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 1 0 -1 0 -13 -1 0 14 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721552513893 1.168992372535 3 8 1 2 0132 1023 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447514991713 0.807585675608 5 11 10 1 0321 0132 3120 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 0 -1 -1 0 1 0 13 -13 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961274365300 0.877469966508 6 11 2 12 1023 1302 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 0 0 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961274365300 0.877469966508 12 3 11 12 0132 0132 1302 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 -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 0.961274365300 0.877469966508 4 12 7 3 1302 2103 3120 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 0.721552513893 1.168992372535 9 7 5 8 2031 0132 0132 2031 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 -1 0 1 0 0 0 0 0 -1 0 1 1 13 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432542349367 0.517986397713 9 10 8 9 0132 2103 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 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 0.961274365300 0.877469966508 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_11'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : d['c_0110_11'], 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_4']), '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_2_12' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_12']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), '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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_12, c_0101_3, c_0101_5, c_0101_8, c_0110_11, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 11/576*c_1001_3^4 + 5/144*c_1001_3^3 - 13/288*c_1001_3^2 - 31/144*c_1001_3 - 19/192, c_0011_0 - 1, c_0011_10 - 1/12*c_1001_3^4 - 1/12*c_1001_3^3 + 7/12*c_1001_3^2 - 1/12*c_1001_3 - 1, c_0011_11 - 1, c_0011_12 - 1/24*c_1001_3^4 - 1/6*c_1001_3^3 + 1/6*c_1001_3^2 + 1/3*c_1001_3 + 3/8, c_0011_4 - 1/8*c_1001_3^4 + 1/2*c_1001_3^2 + 1/2*c_1001_3 - 7/8, c_0101_0 + 1/12*c_1001_3^4 + 1/12*c_1001_3^3 - 7/12*c_1001_3^2 - 11/12*c_1001_3 + 1, c_0101_12 - 1/12*c_1001_3^4 - 1/12*c_1001_3^3 + 1/12*c_1001_3^2 + 11/12*c_1001_3 - 1/2, c_0101_3 - 1/12*c_1001_3^4 - 1/3*c_1001_3^3 - 1/6*c_1001_3^2 + 2/3*c_1001_3 + 1/4, c_0101_5 + 1/2*c_1001_3^2 + c_1001_3 + 1/2, c_0101_8 - 1/12*c_1001_3^4 - 1/12*c_1001_3^3 + 1/12*c_1001_3^2 + 11/12*c_1001_3 + 1/2, c_0110_11 - 1/12*c_1001_3^4 - 1/12*c_1001_3^3 + 7/12*c_1001_3^2 + 11/12*c_1001_3 - 1, c_1001_1 + 1/12*c_1001_3^4 + 1/12*c_1001_3^3 - 1/12*c_1001_3^2 - 11/12*c_1001_3 - 1/2, c_1001_3^5 + c_1001_3^4 - 4*c_1001_3^3 - 8*c_1001_3^2 + 3*c_1001_3 - 9 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_12, c_0101_3, c_0101_5, c_0101_8, c_0110_11, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 23/288*c_1001_3^4 - 89/288*c_1001_3^3 - 145/288*c_1001_3^2 - 119/288*c_1001_3 - 1/2, c_0011_0 - 1, c_0011_10 + 1/12*c_1001_3^4 + 1/12*c_1001_3^3 - 7/12*c_1001_3^2 - 11/12*c_1001_3 + 1, c_0011_11 + 1/12*c_1001_3^4 + 1/12*c_1001_3^3 - 1/12*c_1001_3^2 - 11/12*c_1001_3 + 1/2, c_0011_12 - 1/24*c_1001_3^4 - 1/6*c_1001_3^3 + 1/6*c_1001_3^2 + 1/3*c_1001_3 + 3/8, c_0011_4 - 1/8*c_1001_3^4 + 1/2*c_1001_3^2 + 1/2*c_1001_3 - 7/8, c_0101_0 + 1/12*c_1001_3^4 + 1/12*c_1001_3^3 - 7/12*c_1001_3^2 - 11/12*c_1001_3 + 1, c_0101_12 + 1, c_0101_3 + 1/12*c_1001_3^4 + 1/12*c_1001_3^3 - 1/12*c_1001_3^2 - 11/12*c_1001_3 - 1/2, c_0101_5 + 1/24*c_1001_3^4 + 1/6*c_1001_3^3 - 1/6*c_1001_3^2 - 1/3*c_1001_3 - 3/8, c_0101_8 - 1/12*c_1001_3^4 - 1/12*c_1001_3^3 + 1/12*c_1001_3^2 + 11/12*c_1001_3 + 1/2, c_0110_11 + 1/12*c_1001_3^4 + 1/12*c_1001_3^3 - 7/12*c_1001_3^2 + 1/12*c_1001_3 + 1, c_1001_1 + 1/12*c_1001_3^4 + 1/12*c_1001_3^3 - 1/12*c_1001_3^2 - 11/12*c_1001_3 - 1/2, c_1001_3^5 + c_1001_3^4 - 4*c_1001_3^3 - 8*c_1001_3^2 + 3*c_1001_3 - 9 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_12, c_0101_3, c_0101_5, c_0101_8, c_0110_11, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 25741/16*c_1001_3^4 - 59013/8*c_1001_3^3 - 337505/32*c_1001_3^2 - 246825/16*c_1001_3 - 12959/32, c_0011_0 - 1, c_0011_10 - 3/4*c_1001_3^4 - 7/2*c_1001_3^3 - 39/8*c_1001_3^2 - 27/4*c_1001_3 - 9/8, c_0011_11 + 7/8*c_1001_3^4 + 17/4*c_1001_3^3 + 107/16*c_1001_3^2 + 73/8*c_1001_3 + 33/16, c_0011_12 - 3/4*c_1001_3^4 - 7/2*c_1001_3^3 - 39/8*c_1001_3^2 - 31/4*c_1001_3 - 9/8, c_0011_4 - 5/4*c_1001_3^4 - 6*c_1001_3^3 - 77/8*c_1001_3^2 - 29/2*c_1001_3 - 21/8, c_0101_0 - 1/8*c_1001_3^4 - 3/4*c_1001_3^3 - 29/16*c_1001_3^2 - 27/8*c_1001_3 - 31/16, c_0101_12 - 7/8*c_1001_3^4 - 17/4*c_1001_3^3 - 107/16*c_1001_3^2 - 73/8*c_1001_3 - 33/16, c_0101_3 + 7/8*c_1001_3^4 + 17/4*c_1001_3^3 + 107/16*c_1001_3^2 + 73/8*c_1001_3 + 17/16, c_0101_5 - 1/4*c_1001_3^4 - c_1001_3^3 - 9/8*c_1001_3^2 - 2*c_1001_3 + 3/8, c_0101_8 - 5/8*c_1001_3^4 - 11/4*c_1001_3^3 - 65/16*c_1001_3^2 - 51/8*c_1001_3 - 19/16, c_0110_11 + 3/4*c_1001_3^4 + 7/2*c_1001_3^3 + 39/8*c_1001_3^2 + 27/4*c_1001_3 + 9/8, c_1001_1 + 5/8*c_1001_3^4 + 11/4*c_1001_3^3 + 65/16*c_1001_3^2 + 51/8*c_1001_3 + 19/16, c_1001_3^5 + 5*c_1001_3^4 + 17/2*c_1001_3^3 + 25/2*c_1001_3^2 + 9/2*c_1001_3 + 1/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_12, c_0101_3, c_0101_5, c_0101_8, c_0110_11, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 11*c_1001_3^4 - 28*c_1001_3^3 - 27/2*c_1001_3^2 + 81/2*c_1001_3 + 28, c_0011_0 - 1, c_0011_10 - c_1001_3^3 + 2*c_1001_3^2 + c_1001_3 - 1, c_0011_11 - 1, c_0011_12 - c_1001_3^3 + 2*c_1001_3^2 - 1, c_0011_4 - c_1001_3^2 + 2*c_1001_3 + 1, c_0101_0 - c_1001_3^3 + 2*c_1001_3^2 + c_1001_3 - 1, c_0101_12 + 1, c_0101_3 + c_1001_3^2 - c_1001_3 - 1, c_0101_5 + c_1001_3^3 - 2*c_1001_3^2 + 1, c_0101_8 - c_1001_3^2 + c_1001_3 + 1, c_0110_11 + c_1001_3^3 - 2*c_1001_3^2 - c_1001_3 + 1, c_1001_1 + c_1001_3^2 - c_1001_3 - 1, c_1001_3^5 - 3*c_1001_3^4 + 4*c_1001_3^2 + c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.350 Total time: 2.549 seconds, Total memory usage: 81.56MB