Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 509575983] 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' : 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' : 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 + 31436/5553*c_0101_4^10 + 85852/5553*c_0101_4^9 + 98173/5553*c_0101_4^8 + 178720/5553*c_0101_4^7 + 118874/5553*c_0101_4^6 + 216946/5553*c_0101_4^5 - 40843/1851*c_0101_4^4 - 22545/617*c_0101_4^3 - 296674/5553*c_0101_4^2 - 107686/5553*c_0101_4 - 20054/5553, c_0011_0 - 1, c_0011_3 - 281/617*c_0101_4^10 - 686/617*c_0101_4^9 - 699/617*c_0101_4^8 - 1605/617*c_0101_4^7 - 921/617*c_0101_4^6 - 1819/617*c_0101_4^5 + 1148/617*c_0101_4^4 + 1554/617*c_0101_4^3 + 1889/617*c_0101_4^2 + 1724/617*c_0101_4 + 275/617, c_0011_5 + 560/617*c_0101_4^10 + 1119/617*c_0101_4^9 + 686/617*c_0101_4^8 + 2261/617*c_0101_4^7 + 316/617*c_0101_4^6 + 2727/617*c_0101_4^5 - 4051/617*c_0101_4^4 - 1729/617*c_0101_4^3 - 2199/617*c_0101_4^2 - 6/617*c_0101_4 + 47/617, c_0011_6 + 275/617*c_0101_4^10 + 544/617*c_0101_4^9 + 414/617*c_0101_4^8 + 1226/617*c_0101_4^7 + 45/617*c_0101_4^6 + 1554/617*c_0101_4^5 - 2094/617*c_0101_4^4 - 502/617*c_0101_4^3 - 1471/617*c_0101_4^2 - 36/617*c_0101_4 + 282/617, c_0101_0 - 560/617*c_0101_4^10 - 1119/617*c_0101_4^9 - 686/617*c_0101_4^8 - 2261/617*c_0101_4^7 - 316/617*c_0101_4^6 - 2727/617*c_0101_4^5 + 4051/617*c_0101_4^4 + 1729/617*c_0101_4^3 + 2199/617*c_0101_4^2 + 6/617*c_0101_4 - 47/617, c_0101_1 + 235/617*c_0101_4^10 + 420/617*c_0101_4^9 + 365/617*c_0101_4^8 + 1373/617*c_0101_4^7 + 375/617*c_0101_4^6 + 1844/617*c_0101_4^5 - 1408/617*c_0101_4^4 + 547/617*c_0101_4^3 - 1358/617*c_0101_4^2 - 917/617*c_0101_4 - 735/617, c_0101_4^11 + 3*c_0101_4^10 + 4*c_0101_4^9 + 7*c_0101_4^8 + 6*c_0101_4^7 + 9*c_0101_4^6 - c_0101_4^5 - 6*c_0101_4^4 - 11*c_0101_4^3 - 7*c_0101_4^2 - 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB