Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 3137021564] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0264 geometric_solution 4.30356363 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 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 -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 5.135817640344 1.726060711598 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.284597869368 0.205342793603 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900906395195 1.197530006952 5 4 5 2 0132 3012 2310 0132 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 -1 1 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 1.293570933175 0.416824874959 3 6 2 6 1230 0132 0132 2310 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 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.293570933175 0.416824874959 3 3 6 6 0132 3201 1230 3012 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 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 0.570433992931 0.420416265861 4 4 5 5 3201 0132 1230 3012 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 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 0.570433992931 0.420416265861 ==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_0101_3'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_3, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 2398758744/19152683*c_0110_6^13 + 1499368620/19152683*c_0110_6^12 + 15272763769/19152683*c_0110_6^11 + 2241330944/19152683*c_0110_6^10 + 3798759937/1741153*c_0110_6^9 - 19976296932/19152683*c_0110_6^8 + 20128711985/19152683*c_0110_6^7 - 6783419725/1741153*c_0110_6^6 - 103804592534/19152683*c_0110_6^5 + 84704626872/19152683*c_0110_6^4 + 69947197516/19152683*c_0110_6^3 - 25295888999/19152683*c_0110_6^2 - 979001239/1741153*c_0110_6 + 2118527157/19152683, c_0011_0 - 1, c_0011_1 - 34953576/1741153*c_0110_6^13 - 16422660/1741153*c_0110_6^12 - 217433279/1741153*c_0110_6^11 + 2912164/1741153*c_0110_6^10 - 592726707/1741153*c_0110_6^9 + 387006525/1741153*c_0110_6^8 - 307453967/1741153*c_0110_6^7 + 1117869456/1741153*c_0110_6^6 + 1361724581/1741153*c_0110_6^5 - 1524032362/1741153*c_0110_6^4 - 898766994/1741153*c_0110_6^3 + 584786601/1741153*c_0110_6^2 + 140995135/1741153*c_0110_6 - 71863976/1741153, c_0011_3 - 8823050/1741153*c_0110_6^13 - 4338704/1741153*c_0110_6^12 - 55414857/1741153*c_0110_6^11 - 875927/1741153*c_0110_6^10 - 152677676/1741153*c_0110_6^9 + 92939359/1741153*c_0110_6^8 - 84719123/1741153*c_0110_6^7 + 280886231/1741153*c_0110_6^6 + 342616706/1741153*c_0110_6^5 - 365338491/1741153*c_0110_6^4 - 216789381/1741153*c_0110_6^3 + 137424807/1741153*c_0110_6^2 + 29990064/1741153*c_0110_6 - 16568568/1741153, c_0101_1 + 25720005/1741153*c_0110_6^13 + 12229864/1741153*c_0110_6^12 + 160666523/1741153*c_0110_6^11 - 754980/1741153*c_0110_6^10 + 440263412/1741153*c_0110_6^9 - 280837103/1741153*c_0110_6^8 + 236758531/1741153*c_0110_6^7 - 823643156/1741153*c_0110_6^6 - 998165939/1741153*c_0110_6^5 + 1097799056/1741153*c_0110_6^4 + 640560404/1741153*c_0110_6^3 - 416142457/1741153*c_0110_6^2 - 97277960/1741153*c_0110_6 + 50453117/1741153, c_0101_2 - 2476557/1741153*c_0110_6^13 - 1312853/1741153*c_0110_6^12 - 15701938/1741153*c_0110_6^11 - 940623/1741153*c_0110_6^10 - 43631799/1741153*c_0110_6^9 + 23998287/1741153*c_0110_6^8 - 25329838/1741153*c_0110_6^7 + 77561713/1741153*c_0110_6^6 + 96325517/1741153*c_0110_6^5 - 96750123/1741153*c_0110_6^4 - 60540152/1741153*c_0110_6^3 + 36078448/1741153*c_0110_6^2 + 12014072/1741153*c_0110_6 - 4338704/1741153, c_0101_3 - c_0110_6, c_0110_6^14 + 6*c_0110_6^12 - 3*c_0110_6^11 + 17*c_0110_6^10 - 19*c_0110_6^9 + 14*c_0110_6^8 - 36*c_0110_6^7 - 24*c_0110_6^6 + 62*c_0110_6^5 + 5*c_0110_6^4 - 29*c_0110_6^3 + 4*c_0110_6^2 + 4*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB