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Loading file "K13n1133__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1133 geometric_solution 10.67618597 oriented_manifold CS_known -0.0000000000000002 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 -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 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687902607854 0.637667492399 0 5 7 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 0 0 0 0 4 -4 0 0 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.958996911135 0.789177265428 7 0 3 8 2031 0132 0213 0132 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 0 -1 -1 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552137630513 0.395171519603 9 2 10 0 0132 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252881042849 0.426764220355 7 10 0 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749363750653 1.128587177682 9 1 8 8 3120 0132 3012 1023 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 -1 0 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417854126270 0.549906918093 10 8 1 11 2103 3012 0132 2103 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 1 0 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603391806404 1.022877495681 4 11 2 1 0132 0132 1302 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 -1 1 0 0 0 4 -4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096721906045 0.548649592526 6 5 2 5 1230 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.123994972010 1.152845442680 3 11 10 5 0132 3012 2103 3120 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 -1 1 0 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673310909554 0.634923751072 9 4 6 3 2103 0132 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.023555734073 1.521840269428 9 7 4 6 1230 0132 0132 2103 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 -5 0 0 5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584713713694 0.964971405428 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_0'], 'c_0101_10' : d['c_0101_0'], '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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_0'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_0101_3'], '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' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), '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_10'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_1'], '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_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0110_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2689/259980*c_1001_2^7 - 29693/4939620*c_1001_2^6 + 2197663/4939620*c_1001_2^5 - 104098/58805*c_1001_2^4 + 15628409/4939620*c_1001_2^3 - 1436543/411635*c_1001_2^2 + 244629/117610*c_1001_2 - 3809411/4939620, c_0011_0 - 1, c_0011_10 + 27/98*c_1001_2^7 - 19/14*c_1001_2^6 + 1/49*c_1001_2^5 + 372/49*c_1001_2^4 - 194/49*c_1001_2^3 - 816/49*c_1001_2^2 + 2109/98*c_1001_2 - 1215/98, c_0011_3 - 6/49*c_1001_2^7 + 4/7*c_1001_2^6 + 5/49*c_1001_2^5 - 156/49*c_1001_2^4 + 52/49*c_1001_2^3 + 316/49*c_1001_2^2 - 408/49*c_1001_2 + 277/49, c_0011_6 + 11/49*c_1001_2^7 - 6/7*c_1001_2^6 - 65/98*c_1001_2^5 + 223/49*c_1001_2^4 + 45/98*c_1001_2^3 - 402/49*c_1001_2^2 + 1237/98*c_1001_2 - 271/49, c_0011_8 - 1/7*c_1001_2^7 + 9/14*c_1001_2^6 + 1/14*c_1001_2^5 - 23/7*c_1001_2^4 + 25/14*c_1001_2^3 + 6*c_1001_2^2 - 173/14*c_1001_2 + 99/14, c_0101_0 + 6/49*c_1001_2^7 - 2/7*c_1001_2^6 - 47/49*c_1001_2^5 + 79/49*c_1001_2^4 + 172/49*c_1001_2^3 - 120/49*c_1001_2^2 + 44/49*c_1001_2 + 206/49, c_0101_1 - 3/98*c_1001_2^7 + 3/14*c_1001_2^6 - 11/49*c_1001_2^5 - 60/49*c_1001_2^4 + 90/49*c_1001_2^3 + 135/49*c_1001_2^2 - 477/98*c_1001_2 + 499/98, c_0101_3 + 1/7*c_1001_2^6 - 3/7*c_1001_2^5 - 11/14*c_1001_2^4 + 16/7*c_1001_2^3 + 5/2*c_1001_2^2 - 26/7*c_1001_2 + 55/14, c_0101_8 - 8/49*c_1001_2^7 + 11/14*c_1001_2^6 + 2/49*c_1001_2^5 - 423/98*c_1001_2^4 + 102/49*c_1001_2^3 + 901/98*c_1001_2^2 - 621/49*c_1001_2 + 339/49, c_0110_6 + 12/49*c_1001_2^7 - 6/7*c_1001_2^6 - 52/49*c_1001_2^5 + 235/49*c_1001_2^4 + 120/49*c_1001_2^3 - 436/49*c_1001_2^2 + 403/49*c_1001_2 - 120/49, c_1001_0 - 8/49*c_1001_2^7 + 9/14*c_1001_2^6 + 23/49*c_1001_2^5 - 173/49*c_1001_2^4 - 10/49*c_1001_2^3 + 328/49*c_1001_2^2 - 439/49*c_1001_2 + 391/98, c_1001_2^8 - 4*c_1001_2^7 - 2*c_1001_2^6 + 20*c_1001_2^5 - 3*c_1001_2^4 - 32*c_1001_2^3 + 64*c_1001_2^2 - 44*c_1001_2 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.880 Total time: 1.090 seconds, Total memory usage: 64.12MB