Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 1410713743] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1761 geometric_solution 5.44836927 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2103 0 0 0 0 0 -1 0 1 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 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 -0.406943540268 0.602231093686 0 4 3 5 0132 0132 0213 0132 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 -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 0 0 0 0 0 0.920745426349 0.647554665137 6 0 3 0 0132 0132 3201 2103 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 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 -0.406943540268 0.602231093686 2 1 6 0 2310 0213 3120 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 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 -0.214110738082 0.368607912350 6 1 4 4 1023 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.115970628076 0.993146331944 5 6 1 5 3012 2310 0132 1230 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 -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 0.814300829124 0.626402191663 2 4 3 5 0132 1023 3120 3201 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 0.920745426349 0.647554665137 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_3'], '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_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' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0011_5'])})} 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_0101_0, c_0101_4, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 4370993/615096*c_0110_4^12 - 7422215/615096*c_0110_4^11 + 2513159/307548*c_0110_4^10 + 181949/25629*c_0110_4^9 + 4302677/307548*c_0110_4^8 + 28321633/615096*c_0110_4^7 - 15268973/615096*c_0110_4^6 + 59405065/615096*c_0110_4^5 - 8682217/307548*c_0110_4^4 + 14861479/307548*c_0110_4^3 - 4326016/76887*c_0110_4^2 - 14147137/615096*c_0110_4 - 20595659/615096, c_0011_0 - 1, c_0011_3 - 132211/384435*c_0110_4^12 - 33317/76887*c_0110_4^11 + 300206/384435*c_0110_4^10 + 4729/25629*c_0110_4^9 + 47372/384435*c_0110_4^8 + 938213/384435*c_0110_4^7 - 784948/384435*c_0110_4^6 + 1539236/384435*c_0110_4^5 - 705496/384435*c_0110_4^4 + 215407/384435*c_0110_4^3 - 106118/76887*c_0110_4^2 - 775259/384435*c_0110_4 - 460993/384435, c_0011_5 - 159311/384435*c_0110_4^12 - 47419/76887*c_0110_4^11 + 275791/384435*c_0110_4^10 + 9623/25629*c_0110_4^9 + 220087/384435*c_0110_4^8 + 1061773/384435*c_0110_4^7 - 887633/384435*c_0110_4^6 + 2009596/384435*c_0110_4^5 - 747971/384435*c_0110_4^4 + 281342/384435*c_0110_4^3 - 133567/76887*c_0110_4^2 - 1087999/384435*c_0110_4 - 425393/384435, c_0101_0 + 5276/42715*c_0110_4^12 + 1685/8543*c_0110_4^11 - 12421/42715*c_0110_4^10 - 1117/8543*c_0110_4^9 + 15073/42715*c_0110_4^8 - 41608/42715*c_0110_4^7 + 188/42715*c_0110_4^6 - 34571/42715*c_0110_4^5 - 28929/42715*c_0110_4^4 + 30988/42715*c_0110_4^3 - 604/8543*c_0110_4^2 + 11589/42715*c_0110_4 + 31623/42715, c_0101_4 - 33496/76887*c_0110_4^12 - 61390/76887*c_0110_4^11 + 44213/76887*c_0110_4^10 + 20807/25629*c_0110_4^9 + 64187/76887*c_0110_4^8 + 227396/76887*c_0110_4^7 - 115912/76887*c_0110_4^6 + 337433/76887*c_0110_4^5 - 50230/76887*c_0110_4^4 + 14029/76887*c_0110_4^3 - 187057/76887*c_0110_4^2 - 320105/76887*c_0110_4 - 106651/76887, c_0101_6 - 132211/384435*c_0110_4^12 - 33317/76887*c_0110_4^11 + 300206/384435*c_0110_4^10 + 4729/25629*c_0110_4^9 + 47372/384435*c_0110_4^8 + 938213/384435*c_0110_4^7 - 784948/384435*c_0110_4^6 + 1539236/384435*c_0110_4^5 - 705496/384435*c_0110_4^4 + 215407/384435*c_0110_4^3 - 106118/76887*c_0110_4^2 - 775259/384435*c_0110_4 - 460993/384435, c_0110_4^13 + 2*c_0110_4^12 - c_0110_4^11 - 2*c_0110_4^10 - 2*c_0110_4^9 - 7*c_0110_4^8 + 2*c_0110_4^7 - 10*c_0110_4^6 - c_0110_4^5 + 6*c_0110_4^3 + 9*c_0110_4^2 + 6*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB