Magma V2.19-8 Wed Aug 21 2013 01:00:33 on localhost [Seed = 745158456] Type ? for help. Type -D to quit. Loading file "L13n9551__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9551 geometric_solution 11.97345298 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1023 0132 2 2 1 1 0 0 -1 1 0 0 0 0 1 1 0 -2 1 0 -1 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 2 1 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482186471837 0.720548995183 0 4 6 5 0132 0132 0132 0132 0 2 1 1 0 0 1 -1 0 0 0 0 -1 1 0 0 -1 0 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 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.249360314779 0.859031819344 7 0 0 7 0132 0132 1023 1023 2 2 1 1 0 0 0 0 0 0 1 -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 0 4 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.358534116124 0.958566084010 8 9 0 9 0132 0132 0132 3012 2 2 2 1 0 0 -1 1 0 0 0 0 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -4 5 -1 0 0 1 5 -5 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423204071766 0.660085078603 7 1 10 8 1023 0132 0132 0321 0 2 1 1 0 0 0 0 1 0 -1 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 4 0 -4 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 -0.249360314779 0.859031819344 9 6 1 11 3012 0132 0132 0132 0 2 2 1 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 0 1 0 -1 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202878161165 0.844984083927 10 5 11 1 0321 0132 0132 0132 0 2 1 2 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 -1 0 1 0 0 0 0 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026583743258 1.133921542599 2 4 9 2 0132 1023 1302 1023 2 2 1 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482186471837 0.720548995183 3 4 12 10 0132 0321 0132 0321 0 2 1 2 0 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 1 0 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590722583617 0.626191827716 7 3 3 5 2031 0132 1230 1230 2 2 1 2 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 -1 0 0 0 0 0 0 2 0 -2 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311655112623 1.073633784274 6 8 12 4 0321 0321 0213 0132 0 2 1 2 0 0 0 0 0 0 -1 1 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 1 0 -5 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 0.026583743258 1.133921542599 12 12 5 6 0132 0213 0132 0132 0 2 2 2 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026583743258 1.133921542599 11 10 11 8 0132 0213 0213 0132 0 2 2 2 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 1 -1 0 0 -1 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.979336138227 0.881410785188 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_0_11' : 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_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1001_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : d['c_1001_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_11'], 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0011_11'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_10']), '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_9'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_3, c_0011_5, c_0101_0, c_0101_11, c_0101_2, c_0101_9, c_1001_1, c_1001_10, c_1001_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 210809/172*c_1100_1^6 - 2311927/344*c_1100_1^5 - 180079/8*c_1100_1^4 - 1824097/43*c_1100_1^3 - 18893121/344*c_1100_1^2 - 7138417/172*c_1100_1 - 2025513/172, c_0011_0 - 1, c_0011_10 - c_1100_1 - 1, c_0011_11 - 2/43*c_1100_1^6 - 7/43*c_1100_1^5 + 32/43*c_1100_1^3 + 103/43*c_1100_1^2 + 46/43*c_1100_1 - 26/43, c_0011_3 - 1, c_0011_5 - c_1100_1 - 1, c_0101_0 - 1, c_0101_11 + 4/43*c_1100_1^6 + 14/43*c_1100_1^5 + c_1100_1^4 + 65/43*c_1100_1^3 + 138/43*c_1100_1^2 + 80/43*c_1100_1 - 34/43, c_0101_2 - 52/43*c_1100_1^6 - 225/43*c_1100_1^5 - 16*c_1100_1^4 - 974/43*c_1100_1^3 - 1106/43*c_1100_1^2 - 309/43*c_1100_1 + 141/43, c_0101_9 + 17/43*c_1100_1^6 + 81/43*c_1100_1^5 + 6*c_1100_1^4 + 416/43*c_1100_1^3 + 479/43*c_1100_1^2 + 168/43*c_1100_1 - 80/43, c_1001_1 - 1, c_1001_10 - 4/43*c_1100_1^6 - 14/43*c_1100_1^5 - c_1100_1^4 - 65/43*c_1100_1^3 - 95/43*c_1100_1^2 - 37/43*c_1100_1 + 34/43, c_1001_8 - c_1100_1, c_1100_1^7 + 5*c_1100_1^6 + 16*c_1100_1^5 + 27*c_1100_1^4 + 32*c_1100_1^3 + 18*c_1100_1^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB