Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 2598045372] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s134 geometric_solution 4.17362389 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 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 -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 1.069915918485 0.189838257405 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101447114958 0.133658063982 4 0 3 5 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 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 1.152470825119 0.678912614283 2 4 5 0 2031 2103 1302 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 0 1 -1 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 1.152470825119 0.678912614283 2 3 5 5 0132 2103 0132 3201 0 0 0 0 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 -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 0.580924748390 0.457057928239 3 4 2 4 2031 2310 0132 0132 0 0 0 0 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 0 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.063233498768 0.836527108767 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_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_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2815/12502*c_1001_0^7 + 4870/6251*c_1001_0^6 + 9224/6251*c_1001_0^5 + 286/329*c_1001_0^4 - 26515/12502*c_1001_0^3 - 6223/893*c_1001_0^2 - 106861/12502*c_1001_0 - 77065/12502, c_0011_0 - 1, c_0011_3 - 21/47*c_1001_0^7 - 105/94*c_1001_0^6 - 71/94*c_1001_0^5 + 65/47*c_1001_0^4 + 477/94*c_1001_0^3 + 321/47*c_1001_0^2 - 17/94*c_1001_0 - 219/47, c_0011_5 - 21/47*c_1001_0^7 - 105/94*c_1001_0^6 - 71/94*c_1001_0^5 + 65/47*c_1001_0^4 + 477/94*c_1001_0^3 + 321/47*c_1001_0^2 - 17/94*c_1001_0 - 219/47, c_0101_0 - 21/94*c_1001_0^7 - 38/47*c_1001_0^6 - 59/94*c_1001_0^5 + 65/94*c_1001_0^4 + 309/94*c_1001_0^3 + 509/94*c_1001_0^2 + 203/94*c_1001_0 - 180/47, c_0101_1 - 7/94*c_1001_0^7 - 41/94*c_1001_0^6 - 51/94*c_1001_0^5 + 3/47*c_1001_0^4 + 75/47*c_1001_0^3 + 124/47*c_1001_0^2 + 73/47*c_1001_0 - 167/94, c_1001_0^8 + 4*c_1001_0^7 + 6*c_1001_0^6 - 16*c_1001_0^4 - 34*c_1001_0^3 - 27*c_1001_0^2 + 6*c_1001_0 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB