Magma V2.19-8 Tue Aug 20 2013 16:18:21 on localhost [Seed = 3482211041] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2559 geometric_solution 5.86536348 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 -1 1 1 0 0 -1 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 -1 1 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 1.176868431301 1.299254064880 3 4 5 0 0132 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 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 0.396206071581 1.113038645176 4 3 0 5 0132 2310 0132 2310 0 0 0 0 0 0 -1 1 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 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 0.396206071581 1.113038645176 1 6 6 2 0132 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316963463692 0.182674688339 2 1 4 4 0132 0132 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953414036838 1.840068240152 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 0 -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 0.576771163932 0.399913205859 6 3 3 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.068435047617 1.200590704326 ==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_0011_1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 25572906/1722149*c_0101_6^9 + 80202468/1722149*c_0101_6^8 - 10900342/1722149*c_0101_6^7 - 17598213/132473*c_0101_6^6 - 224518357/1722149*c_0101_6^5 + 1156051465/1722149*c_0101_6^4 - 29438297/1722149*c_0101_6^3 - 1071831498/1722149*c_0101_6^2 - 83762194/1722149*c_0101_6 + 191852977/1722149, c_0011_0 - 1, c_0011_1 - 1961/156559*c_0101_6^9 + 142/12043*c_0101_6^8 + 452/12043*c_0101_6^7 + 5465/156559*c_0101_6^6 - 66161/156559*c_0101_6^5 - 7445/156559*c_0101_6^4 + 149281/156559*c_0101_6^3 + 309022/156559*c_0101_6^2 - 266628/156559*c_0101_6 - 83052/156559, c_0011_5 - 43649/156559*c_0101_6^9 + 14651/12043*c_0101_6^8 - 15106/12043*c_0101_6^7 - 292468/156559*c_0101_6^6 - 17950/156559*c_0101_6^5 + 2357352/156559*c_0101_6^4 - 2291232/156559*c_0101_6^3 - 775927/156559*c_0101_6^2 + 821956/156559*c_0101_6 - 13020/156559, c_0101_0 - 31621/156559*c_0101_6^9 + 7866/12043*c_0101_6^8 - 2949/12043*c_0101_6^7 - 232420/156559*c_0101_6^6 - 282051/156559*c_0101_6^5 + 1360115/156559*c_0101_6^4 - 293077/156559*c_0101_6^3 - 735076/156559*c_0101_6^2 - 300279/156559*c_0101_6 + 35094/156559, c_0101_1 - 111918/156559*c_0101_6^9 + 28616/12043*c_0101_6^8 - 11702/12043*c_0101_6^7 - 863053/156559*c_0101_6^6 - 860871/156559*c_0101_6^5 + 4973551/156559*c_0101_6^4 - 1346580/156559*c_0101_6^3 - 3002330/156559*c_0101_6^2 - 59086/156559*c_0101_6 + 147723/156559, c_0101_4 - 24422/156559*c_0101_6^9 + 4575/12043*c_0101_6^8 + 145/12043*c_0101_6^7 - 141031/156559*c_0101_6^6 - 318276/156559*c_0101_6^5 + 683290/156559*c_0101_6^4 + 127314/156559*c_0101_6^3 - 33926/156559*c_0101_6^2 - 100667/156559*c_0101_6 - 189170/156559, c_0101_6^10 - 3*c_0101_6^9 + 9*c_0101_6^7 + 10*c_0101_6^6 - 44*c_0101_6^5 - 5*c_0101_6^4 + 42*c_0101_6^3 + 9*c_0101_6^2 - 7*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB