Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 2715827405] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3124 geometric_solution 6.28682431 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 1 0 -1 0 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 -1 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 0 0 0 0.715779262790 0.998656645313 0 3 5 4 0132 0132 0132 0132 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 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 0.256287920702 0.751320423913 3 0 4 5 3201 0132 3201 0132 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 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 0.256287920702 0.751320423913 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.165021321105 1.124412374062 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847633361659 1.637943949587 5 5 2 1 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364739789675 0.924869714801 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 1 -1 -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 0 1 -1 -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 0.428978723752 0.190244517235 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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_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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 4647944230166/2033162192159*c_0101_2*c_0110_6^14 + 13206017460493/4066324384318*c_0101_2*c_0110_6^13 + 31469745421333/2033162192159*c_0101_2*c_0110_6^12 + 19168361027124/2033162192159*c_0101_2*c_0110_6^11 - 95642414730444/2033162192159*c_0101_2*c_0110_6^10 - 252211255030545/4066324384318*c_0101_2*c_0110_6^9 + 633532155079679/4066324384318*c_0101_2*c_0110_6^8 + 121572300722823/4066324384318*c_0101_2*c_0110_6^7 - 1317213349410769/4066324384318*c_0101_2*c_0110_6^6 + 899224361303509/4066324384318*c_0101_2*c_0110_6^5 + 34474902244819/290451741737*c_0101_2*c_0110_6^4 - 57827640231857/290451741737*c_0101_2*c_0110_6^3 + 160479650802785/2033162192159*c_0101_2*c_0110_6^2 - 8307558152587/2033162192159*c_0101_2*c_0110_6 + 3628804513445/4066324384318*c_0101_2, c_0011_0 - 1, c_0011_4 + 76119691996/290451741737*c_0101_2*c_0110_6^14 - 97767308323/290451741737*c_0101_2*c_0110_6^13 - 521278930523/290451741737*c_0101_2*c_0110_6^12 - 373696502291/290451741737*c_0101_2*c_0110_6^11 + 1444197590255/290451741737*c_0101_2*c_0110_6^10 + 2098333250094/290451741737*c_0101_2*c_0110_6^9 - 4947743526181/290451741737*c_0101_2*c_0110_6^8 - 1236595837144/290451741737*c_0101_2*c_0110_6^7 + 10754730784402/290451741737*c_0101_2*c_0110_6^6 - 6703732951206/290451741737*c_0101_2*c_0110_6^5 - 4037568872548/290451741737*c_0101_2*c_0110_6^4 + 6700524938420/290451741737*c_0101_2*c_0110_6^3 - 2873392939708/290451741737*c_0101_2*c_0110_6^2 + 1301186850962/290451741737*c_0101_2*c_0110_6 - 534083302281/290451741737*c_0101_2, c_0011_5 - 202117036423/290451741737*c_0101_2*c_0110_6^14 + 282418292574/290451741737*c_0101_2*c_0110_6^13 + 1380214087086/290451741737*c_0101_2*c_0110_6^12 + 828661989955/290451741737*c_0101_2*c_0110_6^11 - 4127412907206/290451741737*c_0101_2*c_0110_6^10 - 5459821990310/290451741737*c_0101_2*c_0110_6^9 + 13908513801620/290451741737*c_0101_2*c_0110_6^8 + 2798848089605/290451741737*c_0101_2*c_0110_6^7 - 29265189113882/290451741737*c_0101_2*c_0110_6^6 + 20192550230206/290451741737*c_0101_2*c_0110_6^5 + 10286068054806/290451741737*c_0101_2*c_0110_6^4 - 19737539880268/290451741737*c_0101_2*c_0110_6^3 + 10113186419114/290451741737*c_0101_2*c_0110_6^2 - 2883318868623/290451741737*c_0101_2*c_0110_6 + 511773079127/290451741737*c_0101_2, c_0101_0 - 54472075669/290451741737*c_0110_6^14 + 64560778547/290451741737*c_0110_6^13 + 373696502291/290451741737*c_0110_6^12 + 306555325653/290451741737*c_0110_6^11 - 956537870154/290451741737*c_0110_6^10 - 1522430293479/290451741737*c_0110_6^9 + 3291827521036/290451741737*c_0110_6^8 + 891582090986/290451741737*c_0110_6^7 - 7454529760050/290451741737*c_0110_6^6 + 4646526408516/290451741737*c_0110_6^5 + 2890556253076/290451741737*c_0110_6^4 - 5195294411868/290451741737*c_0110_6^3 + 2124199288858/290451741737*c_0110_6^2 - 241140643926/290451741737*c_0110_6 + 152239383992/290451741737, c_0101_1 - 44132639443/290451741737*c_0110_6^14 + 107493357552/290451741737*c_0110_6^13 + 264547784297/290451741737*c_0110_6^12 - 139626382849/290451741737*c_0110_6^11 - 1288505007282/290451741737*c_0110_6^10 - 593226387789/290451741737*c_0110_6^9 + 4493086387373/290451741737*c_0110_6^8 - 1476814931051/290451741737*c_0110_6^7 - 7689611255797/290451741737*c_0110_6^6 + 9706598160288/290451741737*c_0110_6^5 + 121417511806/290451741737*c_0110_6^4 - 6414960186708/290451741737*c_0110_6^3 + 5062022254198/290451741737*c_0110_6^2 - 2074589669532/290451741737*c_0110_6 + 672228616509/290451741737, c_0101_2^2 + 273524811347/580903483474*c_0110_6^14 - 226021304713/290451741737*c_0110_6^13 - 896940280884/290451741737*c_0110_6^12 - 311647077729/290451741737*c_0110_6^11 + 6040515963101/580903483474*c_0110_6^10 + 6142827130869/580903483474*c_0110_6^9 - 21083614256043/580903483474*c_0110_6^8 + 264428749097/580903483474*c_0110_6^7 + 41881833132855/580903483474*c_0110_6^6 - 18305083428654/290451741737*c_0110_6^5 - 5094546778146/290451741737*c_0110_6^4 + 15536874453866/290451741737*c_0110_6^3 - 9318636061210/290451741737*c_0110_6^2 + 5973083343179/580903483474*c_0110_6 - 988718346098/290451741737, c_0110_6^15 - 2*c_0110_6^14 - 6*c_0110_6^13 + 23*c_0110_6^11 + 15*c_0110_6^10 - 85*c_0110_6^9 + 27*c_0110_6^8 + 153*c_0110_6^7 - 186*c_0110_6^6 + 8*c_0110_6^5 + 126*c_0110_6^4 - 106*c_0110_6^3 + 45*c_0110_6^2 - 14*c_0110_6 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB