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Loading file "K14n27214__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n27214 geometric_solution 11.12733565 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 -1 1 0 1 0 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 18 -17 -1 -18 0 0 18 0 1 0 -1 -18 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269448305785 0.919611948071 0 5 6 4 0132 0132 0132 0213 0 0 0 0 0 0 0 0 -1 0 0 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 18 0 0 -18 18 0 0 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.269448305785 0.919611948071 7 0 5 8 0132 0132 0132 0132 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 -18 0 18 1 0 0 -1 0 -18 0 18 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269448305785 0.919611948071 9 7 5 0 0132 0132 0321 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 -17 0 17 0 0 0 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529618658304 0.666679237013 10 8 0 1 0132 2103 0132 0213 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 -18 18 0 -18 0 18 17 -18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706575549417 1.001441184890 9 1 3 2 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529618658304 0.666679237013 10 8 11 1 3120 2031 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 0.529618658304 0.666679237013 2 3 10 8 0132 0132 3012 0213 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 17 -17 0 -1 0 0 1 -1 0 0 1 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.269448305785 0.919611948071 6 4 2 7 1302 2103 0132 0213 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 18 -18 0 0 0 1 -1 0 1 0 -1 0 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706575549417 1.001441184890 3 5 11 11 0132 1023 2103 0321 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 17 -17 0 0 0 0 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483372950968 0.374254236916 4 7 11 6 0132 1230 0321 3120 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -17 17 0 0 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706575549417 1.001441184890 9 9 10 6 2103 0321 0321 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 0 0 0 -17 0 17 0 0 0 0 0 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483372950968 0.374254236916 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : negation(d['c_0101_0']), 's_2_0' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : 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' : d['c_0011_0'], '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_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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), '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_0101_0'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(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' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_2'], '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_11, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_10, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 941/256*c_1001_5^3 + 343/128*c_1001_5^2 + 2355/256*c_1001_5 - 2623/256, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_5^3 + 1/2*c_1001_5 + 1/2, c_0011_11 - c_1001_5^3 + 2*c_1001_5, c_0011_6 - c_1001_5, c_0011_8 + 1/2*c_1001_5^3 - 1/2*c_1001_5 - 1/2, c_0101_0 + c_1001_5^2 - 2, c_0101_1 + c_1001_5, c_0101_2 - c_1001_5^2 + 2, c_0101_6 + c_1001_5^3 - 2*c_1001_5, c_1001_10 + 1, c_1001_3 + c_1001_5, c_1001_5^4 - 3*c_1001_5^2 + c_1001_5 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_10, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1481/2016*c_1001_5^7 - 383/2016*c_1001_5^6 + 35363/2016*c_1001_5^5 + 77891/2016*c_1001_5^4 + 64325/2016*c_1001_5^3 + 9293/288*c_1001_5^2 + 36073/1008*c_1001_5 + 499/48, c_0011_0 - 1, c_0011_10 - 25/192*c_1001_5^7 - 1/6*c_1001_5^6 + 601/192*c_1001_5^5 + 10*c_1001_5^4 + 2167/192*c_1001_5^3 + 919/96*c_1001_5^2 + 1111/96*c_1001_5 + 99/16, c_0011_11 - 37/192*c_1001_5^7 - 7/96*c_1001_5^6 + 889/192*c_1001_5^5 + 1019/96*c_1001_5^4 + 1703/192*c_1001_5^3 + 55/6*c_1001_5^2 + 341/32*c_1001_5 + 19/8, c_0011_6 + 1/6*c_1001_5^7 + 19/96*c_1001_5^6 - 193/48*c_1001_5^5 - 397/32*c_1001_5^4 - 643/48*c_1001_5^3 - 1145/96*c_1001_5^2 - 377/24*c_1001_5 - 123/16, c_0011_8 - 1/6*c_1001_5^7 - 19/96*c_1001_5^6 + 193/48*c_1001_5^5 + 397/32*c_1001_5^4 + 643/48*c_1001_5^3 + 1145/96*c_1001_5^2 + 353/24*c_1001_5 + 107/16, c_0101_0 + 1/192*c_1001_5^7 + 13/96*c_1001_5^6 - 29/192*c_1001_5^5 - 329/96*c_1001_5^4 - 1123/192*c_1001_5^3 - 65/16*c_1001_5^2 - 523/96*c_1001_5 - 5, c_0101_1 + 3/32*c_1001_5^7 + 13/96*c_1001_5^6 - 215/96*c_1001_5^5 - 243/32*c_1001_5^4 - 881/96*c_1001_5^3 - 231/32*c_1001_5^2 - 151/16*c_1001_5 - 91/16, c_0101_2 + 7/24*c_1001_5^7 + 11/48*c_1001_5^6 - 7*c_1001_5^5 - 911/48*c_1001_5^4 - 113/6*c_1001_5^3 - 279/16*c_1001_5^2 - 125/6*c_1001_5 - 63/8, c_0101_6 - 5/48*c_1001_5^7 - 7/96*c_1001_5^6 + 61/24*c_1001_5^5 + 619/96*c_1001_5^4 + 133/24*c_1001_5^3 + 577/96*c_1001_5^2 + 23/3*c_1001_5 + 27/16, c_1001_10 + 7/192*c_1001_5^7 + 1/32*c_1001_5^6 - 57/64*c_1001_5^5 - 77/32*c_1001_5^4 - 135/64*c_1001_5^3 - 113/48*c_1001_5^2 - 301/96*c_1001_5 - 3/2, c_1001_3 - 7/192*c_1001_5^7 - 1/32*c_1001_5^6 + 57/64*c_1001_5^5 + 77/32*c_1001_5^4 + 135/64*c_1001_5^3 + 113/48*c_1001_5^2 + 205/96*c_1001_5 - 1/2, c_1001_5^8 + 2*c_1001_5^7 - 23*c_1001_5^6 - 94*c_1001_5^5 - 145*c_1001_5^4 - 144*c_1001_5^3 - 152*c_1001_5^2 - 120*c_1001_5 - 36 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_10, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 9824/249*c_1001_5^7 + 22073/249*c_1001_5^6 + 20558/249*c_1001_5^5 + 9991/249*c_1001_5^4 - 13025/249*c_1001_5^3 - 56811/332*c_1001_5^2 - 7832/83*c_1001_5 + 8145/332, c_0011_0 - 1, c_0011_10 - 92/83*c_1001_5^7 - 206/83*c_1001_5^6 - 208/83*c_1001_5^5 - 84/83*c_1001_5^4 + 131/83*c_1001_5^3 + 777/166*c_1001_5^2 + 193/83*c_1001_5 - 117/166, c_0011_11 + 128/83*c_1001_5^7 + 200/83*c_1001_5^6 + 210/83*c_1001_5^5 + 88/83*c_1001_5^4 - 157/83*c_1001_5^3 - 490/83*c_1001_5^2 - 218/83*c_1001_5 - 81/83, c_0011_6 + 22/83*c_1001_5^7 + 24/83*c_1001_5^6 - 8/83*c_1001_5^5 - 16/83*c_1001_5^4 - 41/166*c_1001_5^3 - 92/83*c_1001_5^2 + 117/166*c_1001_5 + 60/83, c_0011_8 + 92/83*c_1001_5^7 + 206/83*c_1001_5^6 + 208/83*c_1001_5^5 + 84/83*c_1001_5^4 - 131/83*c_1001_5^3 - 777/166*c_1001_5^2 - 193/83*c_1001_5 + 117/166, c_0101_0 - 30/83*c_1001_5^7 - 78/83*c_1001_5^6 - 140/83*c_1001_5^5 - 114/83*c_1001_5^4 - 95/166*c_1001_5^3 + 183/166*c_1001_5^2 + 263/166*c_1001_5 + 191/166, c_0101_1 - 22/83*c_1001_5^7 - 24/83*c_1001_5^6 + 8/83*c_1001_5^5 + 16/83*c_1001_5^4 + 41/166*c_1001_5^3 + 92/83*c_1001_5^2 - 117/166*c_1001_5 - 60/83, c_0101_2 + 30/83*c_1001_5^7 + 78/83*c_1001_5^6 + 140/83*c_1001_5^5 + 114/83*c_1001_5^4 + 95/166*c_1001_5^3 - 183/166*c_1001_5^2 - 263/166*c_1001_5 - 191/166, c_0101_6 + 188/83*c_1001_5^7 + 356/83*c_1001_5^6 + 324/83*c_1001_5^5 + 150/83*c_1001_5^4 - 311/83*c_1001_5^3 - 756/83*c_1001_5^2 - 315/83*c_1001_5 - 23/83, c_1001_10 + 114/83*c_1001_5^7 + 230/83*c_1001_5^6 + 200/83*c_1001_5^5 + 68/83*c_1001_5^4 - 303/166*c_1001_5^3 - 961/166*c_1001_5^2 - 435/166*c_1001_5 + 71/166, c_1001_3 + c_1001_5, c_1001_5^8 + 2*c_1001_5^7 + 2*c_1001_5^6 + c_1001_5^5 - 5/4*c_1001_5^4 - 4*c_1001_5^3 - 2*c_1001_5^2 + 1/4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_10, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1/8*c_1001_5^7 - 7/8*c_1001_5^6 + 3/2*c_1001_5^5 - 1/8*c_1001_5^4 + 1/4*c_1001_5^3 - 17/4*c_1001_5^2 + 3*c_1001_5 + 5/2, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_5^7 + 3/2*c_1001_5^6 - c_1001_5^5 - 1/2*c_1001_5^4 - 5/2*c_1001_5^3 + 5*c_1001_5^2 - c_1001_5 - 2, c_0011_11 + 1/4*c_1001_5^7 - c_1001_5^6 + 3/2*c_1001_5^5 - 1/4*c_1001_5^4 + 1/2*c_1001_5^3 - 4*c_1001_5^2 + 3*c_1001_5 + 5/2, c_0011_6 + 3/8*c_1001_5^7 - c_1001_5^6 + 3/4*c_1001_5^5 - 3/8*c_1001_5^4 + 7/4*c_1001_5^3 - 5/2*c_1001_5^2 + 3/2*c_1001_5 - 1/4, c_0011_8 - c_1001_5^7 + 5/2*c_1001_5^6 - c_1001_5^5 - 11/2*c_1001_5^3 + 6*c_1001_5^2 + c_1001_5 - 1, c_0101_0 - 1/4*c_1001_5^7 + 3/2*c_1001_5^5 - 3/4*c_1001_5^4 - 3/2*c_1001_5^3 - 2*c_1001_5^2 + 4*c_1001_5 + 3/2, c_0101_1 + c_1001_5, c_0101_2 - 5/8*c_1001_5^7 + 2*c_1001_5^6 - 5/4*c_1001_5^5 - 3/8*c_1001_5^4 - 13/4*c_1001_5^3 + 13/2*c_1001_5^2 - 1/2*c_1001_5 - 9/4, c_0101_6 - 1/4*c_1001_5^7 + c_1001_5^6 - 3/2*c_1001_5^5 + 1/4*c_1001_5^4 - 1/2*c_1001_5^3 + 4*c_1001_5^2 - 3*c_1001_5 - 5/2, c_1001_10 + 1, c_1001_3 - 3/8*c_1001_5^7 + c_1001_5^6 - 3/4*c_1001_5^5 + 3/8*c_1001_5^4 - 7/4*c_1001_5^3 + 5/2*c_1001_5^2 - 3/2*c_1001_5 + 1/4, c_1001_5^8 - 3*c_1001_5^7 + 2*c_1001_5^6 + c_1001_5^5 + 5*c_1001_5^4 - 10*c_1001_5^3 + 6*c_1001_5 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.990 Total time: 1.209 seconds, Total memory usage: 32.09MB