Magma V2.19-8 Tue Aug 20 2013 16:18:28 on localhost [Seed = 1427425381] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2655 geometric_solution 5.92375662 oriented_manifold CS_known -0.0000000000000001 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 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 0.677669001530 0.751885140575 0 5 2 6 0132 0132 3201 0132 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 0.177223146368 1.725555785823 1 0 5 4 2310 0132 2031 2310 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.381891224048 0.422530622282 3 3 6 0 1302 2031 3201 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 1 0 -1 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 0.608411192692 0.426495420323 2 6 0 5 3201 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 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 -1 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 1.375536927572 0.409712266681 6 1 4 2 3201 0132 0132 1302 0 0 0 0 0 1 0 -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 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 0.381891224048 0.422530622282 3 4 1 5 2310 0132 0132 2310 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 0 0 0 0.677669001530 0.751885140575 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : negation(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_0'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_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_4, c_0101_0, c_0101_1, c_0110_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 77883528704/21270025*c_1001_5^12 + 51690338816/21270025*c_1001_5^11 - 13401203456/850801*c_1001_5^10 - 165379923648/21270025*c_1001_5^9 + 114974678848/4254005*c_1001_5^8 + 234948533328/21270025*c_1001_5^7 - 480524721576/21270025*c_1001_5^6 - 157881757252/21270025*c_1001_5^5 + 198144937486/21270025*c_1001_5^4 + 6295478188/3038575*c_1001_5^3 - 35914723331/21270025*c_1001_5^2 - 116362054/850801*c_1001_5 + 2133985564/21270025, c_0011_0 - 1, c_0011_3 + 11140608/6397*c_1001_5^12 + 7477120/6397*c_1001_5^11 - 48159552/6397*c_1001_5^10 - 24423712/6397*c_1001_5^9 + 83482624/6397*c_1001_5^8 + 35808992/6397*c_1001_5^7 - 71439540/6397*c_1001_5^6 - 25469336/6397*c_1001_5^5 + 31141529/6397*c_1001_5^4 + 8147863/6397*c_1001_5^3 - 6528601/6397*c_1001_5^2 - 871366/6397*c_1001_5 + 552927/6397, c_0011_4 + 4476416/6397*c_1001_5^12 + 2918400/6397*c_1001_5^11 - 19325568/6397*c_1001_5^10 - 9343744/6397*c_1001_5^9 + 33448096/6397*c_1001_5^8 + 13469744/6397*c_1001_5^7 - 28594952/6397*c_1001_5^6 - 9402080/6397*c_1001_5^5 + 12488170/6397*c_1001_5^4 + 2966055/6397*c_1001_5^3 - 2622363/6397*c_1001_5^2 - 324782/6397*c_1001_5 + 217606/6397, c_0101_0 + 14364288/6397*c_1001_5^12 + 9794624/6397*c_1001_5^11 - 61932960/6397*c_1001_5^10 - 31896128/6397*c_1001_5^9 + 107250928/6397*c_1001_5^8 + 46427852/6397*c_1001_5^7 - 91729820/6397*c_1001_5^6 - 32626819/6397*c_1001_5^5 + 40048973/6397*c_1001_5^4 + 10276472/6397*c_1001_5^3 - 8404793/6397*c_1001_5^2 - 1074443/6397*c_1001_5 + 700536/6397, c_0101_1 - c_1001_5, c_0110_5 - 7592448/6397*c_1001_5^12 - 5078016/6397*c_1001_5^11 + 32791296/6397*c_1001_5^10 + 16536512/6397*c_1001_5^9 - 56713536/6397*c_1001_5^8 - 24176336/6397*c_1001_5^7 + 48272136/6397*c_1001_5^6 + 17142612/6397*c_1001_5^5 - 20786498/6397*c_1001_5^4 - 5454558/6397*c_1001_5^3 + 4233722/6397*c_1001_5^2 + 575100/6397*c_1001_5 - 343323/6397, c_1001_5^13 + 3/2*c_1001_5^12 - 15/4*c_1001_5^11 - 23/4*c_1001_5^10 + 45/8*c_1001_5^9 + 299/32*c_1001_5^8 - 59/16*c_1001_5^7 - 959/128*c_1001_5^6 + 7/8*c_1001_5^5 + 191/64*c_1001_5^4 + 3/128*c_1001_5^3 - 35/64*c_1001_5^2 - 1/64*c_1001_5 + 5/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB