Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 189437566] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3202 geometric_solution 6.34979465 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642971192401 0.671008288883 0 5 3 4 0132 0132 2310 0321 0 0 0 0 0 0 -1 1 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 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 1.664961633413 1.419032581152 5 0 6 5 0213 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 0 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 0.255530930631 0.776932034075 6 1 4 0 1302 3201 3201 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0.406503335776 0.644127722792 3 1 0 6 2310 0321 0132 3012 0 0 0 0 0 -1 0 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 -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 1.085442681705 0.594032060387 2 1 6 2 0213 0132 3201 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 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 0.255530930631 0.776932034075 5 3 4 2 2310 2031 1230 0132 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 -1 0 1 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 0.871356208534 1.392967707137 ==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_6'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], '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_6']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0110_2']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_0011_3']})} 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_1, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 12021291/6897025*c_0110_2^11 - 5395969/6897025*c_0110_2^10 - 25955414/1379405*c_0110_2^9 + 109258779/6897025*c_0110_2^8 + 356750208/6897025*c_0110_2^7 - 81778169/1379405*c_0110_2^6 + 80576693/6897025*c_0110_2^5 - 125263602/6897025*c_0110_2^4 - 49201082/1379405*c_0110_2^3 + 282423878/6897025*c_0110_2^2 + 5689416/275881*c_0110_2 - 27056617/6897025, c_0011_0 - 1, c_0011_3 - 79826/275881*c_0110_2^11 - 39711/275881*c_0110_2^10 + 829887/275881*c_0110_2^9 + 80302/275881*c_0110_2^8 - 2368166/275881*c_0110_2^7 + 281043/275881*c_0110_2^6 + 191715/275881*c_0110_2^5 + 1465438/275881*c_0110_2^4 + 1890038/275881*c_0110_2^3 + 287240/275881*c_0110_2^2 - 830901/275881*c_0110_2 - 889731/275881, c_0011_4 - 116741/275881*c_0110_2^11 - 46017/275881*c_0110_2^10 + 1202517/275881*c_0110_2^9 - 4381/275881*c_0110_2^8 - 3279980/275881*c_0110_2^7 + 710388/275881*c_0110_2^6 - 261972/275881*c_0110_2^5 + 2178254/275881*c_0110_2^4 + 2143965/275881*c_0110_2^3 + 945285/275881*c_0110_2^2 - 918995/275881*c_0110_2 - 784211/275881, c_0011_6 + 40115/275881*c_0110_2^11 + 31627/275881*c_0110_2^10 - 398654/275881*c_0110_2^9 - 133038/275881*c_0110_2^8 + 1079303/275881*c_0110_2^7 + 32063/275881*c_0110_2^6 + 108396/275881*c_0110_2^5 - 504742/275881*c_0110_2^4 - 1069802/275881*c_0110_2^3 - 431771/275881*c_0110_2^2 - 127874/275881*c_0110_2 + 399130/275881, c_0101_1 + 5198/275881*c_0110_2^11 - 20770/275881*c_0110_2^10 - 60205/275881*c_0110_2^9 + 191032/275881*c_0110_2^8 + 59809/275881*c_0110_2^7 - 359542/275881*c_0110_2^6 + 471775/275881*c_0110_2^5 - 670010/275881*c_0110_2^4 + 282582/275881*c_0110_2^3 + 14771/275881*c_0110_2^2 + 40938/275881*c_0110_2 - 33766/275881, c_0101_6 - 79826/275881*c_0110_2^11 - 39711/275881*c_0110_2^10 + 829887/275881*c_0110_2^9 + 80302/275881*c_0110_2^8 - 2368166/275881*c_0110_2^7 + 281043/275881*c_0110_2^6 + 191715/275881*c_0110_2^5 + 1465438/275881*c_0110_2^4 + 1890038/275881*c_0110_2^3 + 287240/275881*c_0110_2^2 - 830901/275881*c_0110_2 - 889731/275881, c_0110_2^12 + c_0110_2^11 - 10*c_0110_2^10 - 6*c_0110_2^9 + 28*c_0110_2^8 + 10*c_0110_2^7 - 2*c_0110_2^6 - 17*c_0110_2^5 - 30*c_0110_2^4 - 17*c_0110_2^3 + 5*c_0110_2^2 + 13*c_0110_2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB