Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 21011504] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2806 geometric_solution 6.03613777 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 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 0 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661414997027 0.590814803138 0 4 5 3 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750264289332 0.378988051573 5 0 0 3 0213 0132 1023 2310 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 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661414997027 0.590814803138 2 1 0 6 3201 1302 0132 0132 0 0 0 0 0 0 1 -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 1 0 -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 0.403931917755 0.776316565529 5 1 6 6 2310 0132 1230 2031 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 -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 1.889556073437 0.808156667936 2 6 4 1 0213 2031 3201 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 0 0 0 1 0 0 -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 0.627558364499 0.443172852972 5 4 3 4 1302 1302 0132 3012 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 -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 0.317910135066 1.248639922793 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), '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' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], '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_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_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_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' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_0']})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1277694184/16322455709*c_0101_4^10 - 4652240074/16322455709*c_0101_4^9 + 3358817431/16322455709*c_0101_4^8 - 6600116202/16322455709*c_0101_4^7 - 8449299022/16322455709*c_0101_4^6 + 7144678594/16322455709*c_0101_4^5 - 2795812529/2331779387*c_0101_4^4 + 45241622275/16322455709*c_0101_4^3 - 6510374294/16322455709*c_0101_4^2 + 117281463118/16322455709*c_0101_4 - 57372387666/16322455709, c_0011_0 - 1, c_0011_3 + 12691565/333111341*c_0101_4^10 - 43020042/333111341*c_0101_4^9 + 24545791/333111341*c_0101_4^8 - 64408831/333111341*c_0101_4^7 - 108213503/333111341*c_0101_4^6 + 83008001/333111341*c_0101_4^5 - 274854968/333111341*c_0101_4^4 + 362795242/333111341*c_0101_4^3 + 97194491/333111341*c_0101_4^2 + 651575954/333111341*c_0101_4 - 33170935/333111341, c_0011_5 - 12391950/333111341*c_0101_4^10 + 43419277/333111341*c_0101_4^9 - 13678158/333111341*c_0101_4^8 + 2847075/333111341*c_0101_4^7 + 173252966/333111341*c_0101_4^6 - 176180115/333111341*c_0101_4^5 + 112590913/333111341*c_0101_4^4 - 167961499/333111341*c_0101_4^3 - 709148347/333111341*c_0101_4^2 - 352457174/333111341*c_0101_4 - 62885595/333111341, c_0011_6 - 4738705/333111341*c_0101_4^10 + 11001960/333111341*c_0101_4^9 + 5110402/333111341*c_0101_4^8 + 18102554/333111341*c_0101_4^7 + 92841061/333111341*c_0101_4^6 - 29208942/333111341*c_0101_4^5 + 149188544/333111341*c_0101_4^4 - 18944742/333111341*c_0101_4^3 - 291714667/333111341*c_0101_4^2 - 139842836/333111341*c_0101_4 - 228429218/333111341, c_0101_0 - 12391950/333111341*c_0101_4^10 + 43419277/333111341*c_0101_4^9 - 13678158/333111341*c_0101_4^8 + 2847075/333111341*c_0101_4^7 + 173252966/333111341*c_0101_4^6 - 176180115/333111341*c_0101_4^5 + 112590913/333111341*c_0101_4^4 - 167961499/333111341*c_0101_4^3 - 709148347/333111341*c_0101_4^2 - 352457174/333111341*c_0101_4 - 62885595/333111341, c_0101_1 + 23649089/333111341*c_0101_4^10 - 110592200/333111341*c_0101_4^9 + 156775395/333111341*c_0101_4^8 - 194053241/333111341*c_0101_4^7 - 126639055/333111341*c_0101_4^6 + 605411676/333111341*c_0101_4^5 - 1011834188/333111341*c_0101_4^4 + 1502841149/333111341*c_0101_4^3 - 205719578/333111341*c_0101_4^2 + 630275481/333111341*c_0101_4 - 236718353/333111341, c_0101_4^11 - 5*c_0101_4^10 + 8*c_0101_4^9 - 9*c_0101_4^8 - 6*c_0101_4^7 + 29*c_0101_4^6 - 49*c_0101_4^5 + 62*c_0101_4^4 - 15*c_0101_4^3 + 9*c_0101_4^2 - 19*c_0101_4 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB