Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 1326371753] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1864 geometric_solution 5.49769983 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589205333458 0.394644113767 2 0 3 0 0132 2310 0132 0132 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 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 1.239195446700 0.390081871470 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055376296612 0.615822708074 6 2 4 1 0132 1230 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 0 1 -1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055376296612 0.615822708074 5 2 6 3 0321 0132 0321 0132 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 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 0.696780030277 0.184524744075 4 6 2 6 0321 0321 0132 3201 0 0 0 0 0 1 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 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 0.175975414433 0.947359557602 3 5 4 5 0132 2310 0321 0321 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175975414433 0.947359557602 ==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_1001_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_0'], '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_1'], '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' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_4'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 6771089868710/54425828453*c_1001_4^14 + 1590108360443/2864517287*c_1001_4^13 + 732957231508/2864517287*c_1001_4^12 + 12998414972556/54425828453*c_1001_4^11 + 262893024597106/54425828453*c_1001_4^10 + 547692009547882/54425828453*c_1001_4^9 + 95813666955727/54425828453*c_1001_4^8 - 760144970114661/54425828453*c_1001_4^7 - 419393986724032/54425828453*c_1001_4^6 + 422072253319804/54425828453*c_1001_4^5 + 351394973153720/54425828453*c_1001_4^4 - 362470792550164/54425828453*c_1001_4^3 + 32205105069349/54425828453*c_1001_4^2 + 53779701462044/54425828453*c_1001_4 - 13384900783630/54425828453, c_0011_0 - 1, c_0011_1 + 19098114001/2864517287*c_1001_4^14 + 84690354203/2864517287*c_1001_4^13 + 36851157043/2864517287*c_1001_4^12 + 35294532462/2864517287*c_1001_4^11 + 740829005104/2864517287*c_1001_4^10 + 1524719291465/2864517287*c_1001_4^9 + 225378832265/2864517287*c_1001_4^8 - 2153631482536/2864517287*c_1001_4^7 - 1115087903167/2864517287*c_1001_4^6 + 1243137449857/2864517287*c_1001_4^5 + 967059444792/2864517287*c_1001_4^4 - 1054569448505/2864517287*c_1001_4^3 + 113084704877/2864517287*c_1001_4^2 + 154917342201/2864517287*c_1001_4 - 44200336946/2864517287, c_0011_3 + 16004813540/2864517287*c_1001_4^14 + 69940414874/2864517287*c_1001_4^13 + 25914118113/2864517287*c_1001_4^12 + 25566297629/2864517287*c_1001_4^11 + 616793846060/2864517287*c_1001_4^10 + 1235934471909/2864517287*c_1001_4^9 + 89787371465/2864517287*c_1001_4^8 - 1860629138701/2864517287*c_1001_4^7 - 849103601023/2864517287*c_1001_4^6 + 1128909402873/2864517287*c_1001_4^5 + 779019785831/2864517287*c_1001_4^4 - 945451509735/2864517287*c_1001_4^3 + 132488851982/2864517287*c_1001_4^2 + 137457172313/2864517287*c_1001_4 - 43349146417/2864517287, c_0011_5 + c_1001_4, c_0101_0 - 7158079430/2864517287*c_1001_4^14 - 30912303365/2864517287*c_1001_4^13 - 10165042110/2864517287*c_1001_4^12 - 12068360141/2864517287*c_1001_4^11 - 277812956563/2864517287*c_1001_4^10 - 541386799214/2864517287*c_1001_4^9 - 21042577192/2864517287*c_1001_4^8 + 801505937879/2864517287*c_1001_4^7 + 287693153192/2864517287*c_1001_4^6 - 541701222849/2864517287*c_1001_4^5 - 288555988891/2864517287*c_1001_4^4 + 474122713704/2864517287*c_1001_4^3 - 84463112165/2864517287*c_1001_4^2 - 66809193287/2864517287*c_1001_4 + 23907819301/2864517287, c_0101_1 - 9466683342/2864517287*c_1001_4^14 - 42732192478/2864517287*c_1001_4^13 - 22056868592/2864517287*c_1001_4^12 - 21224115966/2864517287*c_1001_4^11 - 370683495297/2864517287*c_1001_4^10 - 786689485779/2864517287*c_1001_4^9 - 190975576522/2864517287*c_1001_4^8 + 1011920830347/2864517287*c_1001_4^7 + 609520510263/2864517287*c_1001_4^6 - 536868542736/2864517287*c_1001_4^5 - 488794414630/2864517287*c_1001_4^4 + 474943232486/2864517287*c_1001_4^3 - 34715263413/2864517287*c_1001_4^2 - 67512672967/2864517287*c_1001_4 + 18402069832/2864517287, c_1001_4^15 + 4*c_1001_4^14 + c_1001_4^12 + 38*c_1001_4^11 + 63*c_1001_4^10 - 23*c_1001_4^9 - 118*c_1001_4^8 - 9*c_1001_4^7 + 91*c_1001_4^6 + 22*c_1001_4^5 - 78*c_1001_4^4 + 30*c_1001_4^3 + 6*c_1001_4^2 - 6*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB