Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 1899031999] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2254 geometric_solution 5.68374399 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 -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 0.397652231318 0.913504940918 0 0 4 3 0132 2310 0132 3201 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147083178266 1.484772781041 4 0 6 5 2031 0132 0132 0132 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 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 0.580418800373 0.118992044283 5 1 4 0 3012 2310 1302 0132 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 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 -0.297859317596 0.724784419453 3 6 2 1 2031 2103 1302 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 0.453608460397 0.670162477734 6 6 2 3 0213 1230 0132 1230 0 0 0 0 0 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 -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 1.096893313938 0.747655227960 5 4 5 2 0213 2103 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768026457298 0.573540289684 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_2_6' : 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_0_6' : 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_6' : d['c_0101_0'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_4']), '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_1001_1']), '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_6'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 8011693/1435021*c_1001_1^10 - 47194590/1435021*c_1001_1^9 - 48950369/1435021*c_1001_1^8 + 125774/2723*c_1001_1^7 + 25626120/205003*c_1001_1^6 + 26125106/205003*c_1001_1^5 + 59189576/1435021*c_1001_1^4 - 85221910/1435021*c_1001_1^3 - 9522447/205003*c_1001_1^2 - 25706481/1435021*c_1001_1 - 17073354/1435021, c_0011_0 - 1, c_0011_3 + 3072/12059*c_1001_1^10 + 16377/12059*c_1001_1^9 + 8916/12059*c_1001_1^8 - 1082/389*c_1001_1^7 - 51158/12059*c_1001_1^6 - 44046/12059*c_1001_1^5 - 4979/12059*c_1001_1^4 + 48134/12059*c_1001_1^3 + 28169/12059*c_1001_1^2 + 23412/12059*c_1001_1 + 15052/12059, c_0011_4 - 12739/12059*c_1001_1^10 - 61188/12059*c_1001_1^9 - 10641/12059*c_1001_1^8 + 3779/389*c_1001_1^7 + 143659/12059*c_1001_1^6 + 123745/12059*c_1001_1^5 - 18902/12059*c_1001_1^4 - 84202/12059*c_1001_1^3 + 12073/12059*c_1001_1^2 - 47012/12059*c_1001_1 + 12370/12059, c_0011_6 - 1375/12059*c_1001_1^10 - 653/12059*c_1001_1^9 + 28936/12059*c_1001_1^8 + 831/389*c_1001_1^7 - 33244/12059*c_1001_1^6 - 63403/12059*c_1001_1^5 - 75994/12059*c_1001_1^4 - 35307/12059*c_1001_1^3 + 12974/12059*c_1001_1^2 - 9584/12059*c_1001_1 + 17742/12059, c_0101_0 - 7919/12059*c_1001_1^10 - 35351/12059*c_1001_1^9 + 7682/12059*c_1001_1^8 + 2678/389*c_1001_1^7 + 70583/12059*c_1001_1^6 + 30801/12059*c_1001_1^5 - 59421/12059*c_1001_1^4 - 63353/12059*c_1001_1^3 + 20486/12059*c_1001_1^2 - 31570/12059*c_1001_1 + 14067/12059, c_0101_1 - 8599/12059*c_1001_1^10 - 36244/12059*c_1001_1^9 + 21159/12059*c_1001_1^8 + 3345/389*c_1001_1^7 + 57475/12059*c_1001_1^6 - 14280/12059*c_1001_1^5 - 114500/12059*c_1001_1^4 - 87260/12059*c_1001_1^3 + 44618/12059*c_1001_1^2 - 18287/12059*c_1001_1 + 26437/12059, c_1001_1^11 + 5*c_1001_1^10 + 2*c_1001_1^9 - 8*c_1001_1^8 - 13*c_1001_1^7 - 14*c_1001_1^6 - 3*c_1001_1^5 + 5*c_1001_1^4 + c_1001_1^3 + 6*c_1001_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB