Magma V2.19-8 Tue Aug 20 2013 23:39:28 on localhost [Seed = 1014651001] Type ? for help. Type -D to quit. Loading file "K11n81__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n81 geometric_solution 10.95596553 oriented_manifold CS_known -0.0000000000000008 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 -1 0 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 1 0 0 -1 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184726322722 1.162030632028 0 5 7 6 0132 0132 0132 0132 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 1 -14 13 0 0 0 0 -14 14 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633503143492 0.842816203416 8 0 7 9 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.021837869552 0.649391600890 10 7 9 0 0132 3012 2310 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 -13 -1 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335541928689 0.680994361822 10 9 0 5 1302 2310 0132 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 1 -1 0 0 0 0 14 0 0 -14 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560321698533 0.579481039723 8 1 4 11 1023 0132 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 -1 1 0 0 0 0 0 0 -1 0 1 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697968159125 1.471321435934 10 8 1 11 2103 1230 0132 2310 0 0 0 0 0 0 1 -1 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 -13 13 1 0 0 -1 0 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.697968159125 1.471321435934 3 2 10 1 1230 1230 0132 0132 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 -14 14 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 0.563132105413 0.382023566549 2 5 6 11 0132 1023 3012 2031 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 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267836711051 0.713165056893 11 3 2 4 3201 3201 0132 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 -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 0.549402763757 0.904176840168 3 4 6 7 0132 2031 2103 0132 0 0 0 0 0 1 0 -1 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 -14 0 14 0 0 -1 1 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754594874648 0.403874252988 6 8 5 9 3201 1302 0132 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 -13 13 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560321698533 0.579481039723 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0011_4'], '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_0011_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['c_0011_4']), 'c_1100_8' : d['c_0110_9'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0110_9']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0011_11'], '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'], 's_1_7' : negation(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' : 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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : 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_0011_6']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_11'])})} 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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 376515/116*c_0110_9^4 + 142317/58*c_0110_9^3 + 1112583/232*c_0110_9^2 - 260421/116*c_0110_9 - 106883/58, c_0011_0 - 1, c_0011_10 - 9/2*c_0110_9^4 + 9*c_0110_9^3 + 37/4*c_0110_9^2 - 17/2*c_0110_9 - 6, c_0011_11 + 9*c_0110_9^4 - 25/2*c_0110_9^2 - c_0110_9 + 3, c_0011_4 - 9/2*c_0110_9^4 + 9*c_0110_9^3 + 13/4*c_0110_9^2 - 15/2*c_0110_9 - 1, c_0011_6 - 27/2*c_0110_9^4 - 27*c_0110_9^3 + 39/4*c_0110_9^2 + 61/2*c_0110_9 + 10, c_0011_7 - 45/2*c_0110_9^4 + 9*c_0110_9^3 + 137/4*c_0110_9^2 - 13/2*c_0110_9 - 13, c_0011_9 - 9/2*c_0110_9^4 + 9*c_0110_9^3 + 37/4*c_0110_9^2 - 17/2*c_0110_9 - 6, c_0101_0 - 27*c_0110_9^4 - 18*c_0110_9^3 + 51/2*c_0110_9^2 + 25*c_0110_9 + 5, c_0101_2 + 9*c_0110_9^4 - 25/2*c_0110_9^2 - c_0110_9 + 3, c_0101_3 + 18*c_0110_9^4 - 9*c_0110_9^3 - 25*c_0110_9^2 + 13/2*c_0110_9 + 9, c_0101_8 - 9/2*c_0110_9^4 + 9*c_0110_9^3 + 37/4*c_0110_9^2 - 19/2*c_0110_9 - 6, c_0110_9^5 - 37/18*c_0110_9^3 - 4/9*c_0110_9^2 + 10/9*c_0110_9 + 4/9 ], 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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 29/48*c_0110_9^4 - 97/48*c_0110_9^3 - 79/24*c_0110_9^2 - 149/48*c_0110_9 - 7/8, c_0011_0 - 1, c_0011_10 + c_0110_9^4 + c_0110_9^3 + c_0110_9^2 - 2*c_0110_9 - 2, c_0011_11 - c_0110_9^4 + 2*c_0110_9 + 1, c_0011_4 - c_0110_9^3 + c_0110_9^2, c_0011_6 + c_0110_9^4 + c_0110_9^2 - c_0110_9, c_0011_7 + c_0110_9^4 - 2*c_0110_9, c_0011_9 + c_0110_9^4 + c_0110_9^3 + c_0110_9^2 - 2*c_0110_9 - 2, c_0101_0 + 1, c_0101_2 + c_0110_9^4 - 2*c_0110_9, c_0101_3 + c_0110_9^4 + c_0110_9^3 - 2*c_0110_9 - 2, c_0101_8 - c_0110_9^3 + c_0110_9 + 2, c_0110_9^5 + c_0110_9^4 + c_0110_9^3 - 2*c_0110_9^2 - 2*c_0110_9 - 1 ], 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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 61235/14*c_0110_9^4 - 26391/14*c_0110_9^3 + 51771/14*c_0110_9^2 - 3000/7*c_0110_9 - 2121, c_0011_0 - 1, c_0011_10 - 25/7*c_0110_9^4 + 5/7*c_0110_9^3 + 17/7*c_0110_9^2 - 4/7*c_0110_9 - 1/7, c_0011_11 - 5/7*c_0110_9^4 - 13/7*c_0110_9^3 + 2/7*c_0110_9^2 + 9/7*c_0110_9 - 3/7, c_0011_4 + 25/7*c_0110_9^4 - 5/7*c_0110_9^3 - 17/7*c_0110_9^2 + 4/7*c_0110_9 + 1/7, c_0011_6 + 5/7*c_0110_9^4 - 22/7*c_0110_9^3 + 12/7*c_0110_9^2 + 12/7*c_0110_9 - 11/7, c_0011_7 - 5/7*c_0110_9^4 - 13/7*c_0110_9^3 + 2/7*c_0110_9^2 + 9/7*c_0110_9 - 3/7, c_0011_9 - 25/7*c_0110_9^4 + 5/7*c_0110_9^3 + 17/7*c_0110_9^2 - 4/7*c_0110_9 - 1/7, c_0101_0 - 20/7*c_0110_9^4 + 18/7*c_0110_9^3 + 15/7*c_0110_9^2 - 13/7*c_0110_9 - 5/7, c_0101_2 - 5/7*c_0110_9^4 - 13/7*c_0110_9^3 + 2/7*c_0110_9^2 + 9/7*c_0110_9 - 3/7, c_0101_3 + 20/7*c_0110_9^4 + 17/7*c_0110_9^3 - 29/7*c_0110_9^2 - 8/7*c_0110_9 + 12/7, c_0101_8 - 25/7*c_0110_9^4 + 5/7*c_0110_9^3 + 17/7*c_0110_9^2 - 11/7*c_0110_9 - 1/7, c_0110_9^5 - 2/5*c_0110_9^4 - 6/5*c_0110_9^3 + 4/5*c_0110_9^2 + 2/5*c_0110_9 - 2/5 ], 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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 107/8*c_0110_9^4 - 117/4*c_0110_9^3 - 387/8*c_0110_9^2 - 251/8*c_0110_9 - 89/8, c_0011_0 - 1, c_0011_10 + c_0110_9^4 + c_0110_9^3 + c_0110_9^2 - 2*c_0110_9 - 2, c_0011_11 + c_0110_9^4 - 2*c_0110_9, c_0011_4 - c_0110_9^4 - c_0110_9^3 - c_0110_9^2 + 2*c_0110_9 + 2, c_0011_6 + c_0110_9^3 + c_0110_9 - 2, c_0011_7 + c_0110_9^4 - 2*c_0110_9, c_0011_9 + c_0110_9^4 + c_0110_9^3 + c_0110_9^2 - 2*c_0110_9 - 2, c_0101_0 + 1, c_0101_2 - c_0110_9^4 + 2*c_0110_9 + 1, c_0101_3 + c_0110_9^4 + c_0110_9^3 - 2*c_0110_9 - 2, c_0101_8 - c_0110_9^4 - c_0110_9^2 + 3*c_0110_9, c_0110_9^5 + c_0110_9^4 + c_0110_9^3 - 2*c_0110_9^2 - 2*c_0110_9 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.170 Total time: 1.370 seconds, Total memory usage: 32.09MB