Magma V2.19-8 Tue Aug 20 2013 16:17:22 on localhost [Seed = 3802365481] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1594 geometric_solution 5.36205884 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 1 -1 0 0 0 1 -1 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 1 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 0.754199907692 0.083074061687 0 2 0 2 0132 0132 1023 1023 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 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 0.614698110206 0.233764068658 3 1 4 1 0132 0132 0132 1023 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 0 0 0 0 0 0 0 -1 0 0 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 0.856717854186 1.804252425619 2 4 6 5 0132 3201 0132 0132 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 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 0.029891252799 1.002908467445 5 6 3 2 3201 0132 2310 0132 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 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 0.029891252799 1.002908467445 5 5 3 4 1230 3012 0132 2310 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 0 1.027338443710 1.033328986694 6 4 6 3 2031 0132 1302 0132 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482988666146 0.513113925133 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t - 47563336126/6596366547*c_0101_3^17 - 71749789607/2198788849*c_0101_3^16 + 193089192293/2198788849*c_0101_3^15 + 749630371532/2198788849*c_0101_3^14 - 902823169031/2198788849*c_0101_3^13 - 9572390199850/6596366547*c_0101_3^12 + 1542675331069/2198788849*c_0101_3^11 + 22957542859106/6596366547*c_0101_3^10 + 137659703699/6596366547*c_0101_3^9 - 10202976938242/2198788849*c_0101_3^8 - 7022071996642/6596366547*c_0101_3^7 + 7915597735895/2198788849*c_0101_3^6 + 2270908012380/2198788849*c_0101_3^5 - 11596981644679/6596366547*c_0101_3^4 - 960629919759/2198788849*c_0101_3^3 + 3499261783529/6596366547*c_0101_3^2 + 150496223686/6596366547*c_0101_3 - 467183658703/6596366547, c_0011_0 - 1, c_0011_4 - 3353121000/2198788849*c_0011_5*c_0101_3^17 + 47635186/2198788849*c_0011_5*c_0101_3^16 + 34235121419/2198788849*c_0011_5*c_0101_3^15 + 2351650620/2198788849*c_0011_5*c_0101_3^14 - 134719841891/2198788849*c_0011_5*c_0101_3^13 - 51236802511/2198788849*c_0011_5*c_0101_3^12 + 285368542195/2198788849*c_0011_5*c_0101_3^11 + 203612953356/2198788849*c_0011_5*c_0101_3^10 - 314425157790/2198788849*c_0011_5*c_0101_3^9 - 303945081001/2198788849*c_0011_5*c_0101_3^8 + 180236776562/2198788849*c_0011_5*c_0101_3^7 + 224533724360/2198788849*c_0011_5*c_0101_3^6 - 55534640855/2198788849*c_0011_5*c_0101_3^5 - 95542694186/2198788849*c_0011_5*c_0101_3^4 + 7043748083/2198788849*c_0011_5*c_0101_3^3 + 16912660547/2198788849*c_0011_5*c_0101_3^2 - 1202116654/2198788849*c_0011_5*c_0101_3 - 1999811319/2198788849*c_0011_5, c_0011_5^2 - 55497844434/81355187413*c_0101_3^17 + 32809232521/81355187413*c_0101_3^16 + 562950770679/81355187413*c_0101_3^15 - 7346306208/2198788849*c_0101_3^14 - 2224007781225/81355187413*c_0101_3^13 + 279675611184/81355187413*c_0101_3^12 + 5123738740890/81355187413*c_0101_3^11 + 1201344865701/81355187413*c_0101_3^10 - 6865192010250/81355187413*c_0101_3^9 - 3054289694790/81355187413*c_0101_3^8 + 5205137102947/81355187413*c_0101_3^7 + 3009266687114/81355187413*c_0101_3^6 - 2381802582943/81355187413*c_0101_3^5 - 1599819511328/81355187413*c_0101_3^4 + 785975668190/81355187413*c_0101_3^3 + 10000521783/2198788849*c_0101_3^2 - 85652116322/81355187413*c_0101_3 - 59679516111/81355187413, c_0101_0 + 6233899108/2198788849*c_0101_3^17 + 990956440/2198788849*c_0101_3^16 - 65027633679/2198788849*c_0101_3^15 - 15170819719/2198788849*c_0101_3^14 + 263590226319/2198788849*c_0101_3^13 + 137569455115/2198788849*c_0101_3^12 - 568221002242/2198788849*c_0101_3^11 - 483871836465/2198788849*c_0101_3^10 + 633655456973/2198788849*c_0101_3^9 + 734726985329/2198788849*c_0101_3^8 - 365458558767/2198788849*c_0101_3^7 - 581194151420/2198788849*c_0101_3^6 + 104768498471/2198788849*c_0101_3^5 + 269373244662/2198788849*c_0101_3^4 - 8335425790/2198788849*c_0101_3^3 - 63088362332/2198788849*c_0101_3^2 - 657329911/2198788849*c_0101_3 + 7440681720/2198788849, c_0101_1 - 3402252902/2198788849*c_0101_3^17 + 4216023405/2198788849*c_0101_3^16 + 33167858438/2198788849*c_0101_3^15 - 41418155322/2198788849*c_0101_3^14 - 123650517330/2198788849*c_0101_3^13 + 129262941949/2198788849*c_0101_3^12 + 287564515899/2198788849*c_0101_3^11 - 219402657660/2198788849*c_0101_3^10 - 437859058672/2198788849*c_0101_3^9 + 274337960975/2198788849*c_0101_3^8 + 437805328784/2198788849*c_0101_3^7 - 248636590328/2198788849*c_0101_3^6 - 286952238726/2198788849*c_0101_3^5 + 144816761897/2198788849*c_0101_3^4 + 116964435210/2198788849*c_0101_3^3 - 56768379264/2198788849*c_0101_3^2 - 17603919047/2198788849*c_0101_3 + 7344700276/2198788849, c_0101_2 + 3353121000/2198788849*c_0101_3^17 - 47635186/2198788849*c_0101_3^16 - 34235121419/2198788849*c_0101_3^1\ 5 - 2351650620/2198788849*c_0101_3^14 + 134719841891/2198788849*c_0101_3^13 + 51236802511/2198788849*c_0101_3^12 - 285368542195/2198788849*c_0101_3^11 - 203612953356/2198788849*c_0101_3^10 + 314425157790/2198788849*c_0101_3^9 + 303945081001/2198788849*c_0101_3^8 - 180236776562/2198788849*c_0101_3^7 - 224533724360/2198788849*c_0101_3^6 + 55534640855/2198788849*c_0101_3^5 + 95542694186/2198788849*c_0101_3^4 - 7043748083/2198788849*c_0101_3^3 - 16912660547/2198788849*c_0101_3^2 - 996672195/2198788849*c_0101_3 + 1999811319/2198788849, c_0101_3^18 - 1/2*c_0101_3^17 - 21/2*c_0101_3^16 + 9/2*c_0101_3^15 + 87/2*c_0101_3^14 - 13/2*c_0101_3^13 - 104*c_0101_3^12 - 14*c_0101_3^11 + 149*c_0101_3^10 + 83/2*c_0101_3^9 - 265/2*c_0101_3^8 - 41*c_0101_3^7 + 153/2*c_0101_3^6 + 41/2*c_0101_3^5 - 29*c_0101_3^4 - 7/2*c_0101_3^3 + 6*c_0101_3^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.240 seconds, Total memory usage: 32.09MB