Magma V2.19-8 Tue Aug 20 2013 16:16:46 on localhost [Seed = 341149917] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1059 geometric_solution 4.93271406 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.224057921051 1.381011990795 0 0 3 3 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324508129211 0.201500875183 0 0 4 4 3201 0132 3201 0132 0 0 0 0 0 -1 0 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 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 0.324508129211 0.201500875183 1 5 1 6 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 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 0.727616564561 0.931966055183 2 5 2 6 2310 1023 0132 1023 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 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 0.727616564561 0.931966055183 4 3 5 5 1023 0132 1230 3012 0 0 0 0 0 0 -1 1 -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 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 1.344283440112 1.303737055192 6 6 3 4 1230 3012 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.344283440112 1.303737055192 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_0011_6']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 73280796663808/22421751185*c_0101_5^14 + 36888361558016/22421751185*c_0101_5^12 + 51015694409216/22421751185*c_0101_5^10 + 121513094155776/22421751185*c_0101_5^8 - 20053527501888/22421751185*c_0101_5^6 - 182787267696/4484350237*c_0101_5^4 - 4578031773474/22421751185*c_0101_5^2 - 699284381953/22421751185, c_0011_0 - 1, c_0011_3 - 50571296768/4484350237*c_0101_5^14 + 57914439680/4484350237*c_0101_5^12 + 23888532480/4484350237*c_0101_5^10 + 62240032768/4484350237*c_0101_5^8 - 75543736896/4484350237*c_0101_5^6 - 716344040/4484350237*c_0101_5^4 - 4903533208/4484350237*c_0101_5^2 + 2361277232/4484350237, c_0011_6 + 31622473728/4484350237*c_0101_5^14 - 43486425088/4484350237*c_0101_5^12 - 4129473920/4484350237*c_0101_5^10 - 39742803968/4484350237*c_0101_5^8 + 51333183952/4484350237*c_0101_5^6 - 9083191772/4484350237*c_0101_5^4 + 18085814077/8968700474*c_0101_5^2 + 546296197/17937400948, c_0101_0 - 303698053120/4484350237*c_0101_5^14 + 113955395584/4484350237*c_0101_5^12 + 254740303744/4484350237*c_0101_5^10 + 516197036288/4484350237*c_0101_5^8 - 34856938224/4484350237*c_0101_5^6 - 50520327556/4484350237*c_0101_5^4 - 16347316497/8968700474*c_0101_5^2 - 18066330393/17937400948, c_0101_1 + 3478442811392/22421751185*c_0101_5^15 - 1865649647616/22421751185*c_0101_5^13 - 2246643333632/22421751185*c_0101_5^11 - 5701449575168/22421751185*c_0101_5^9 + 1052386119232/22421751185*c_0101_5^7 - 236416177552/22421751185*c_0101_5^5 + 182491876734/22421751185*c_0101_5^3 + 27654939474/22421751185*c_0101_5, c_0101_4 + 303698053120/4484350237*c_0101_5^14 - 113955395584/4484350237*c_0101_5^12 - 254740303744/4484350237*c_0101_5^10 - 516197036288/4484350237*c_0101_5^8 + 34856938224/4484350237*c_0101_5^6 + 50520327556/4484350237*c_0101_5^4 + 16347316497/8968700474*c_0101_5^2 + 18066330393/17937400948, c_0101_5^16 - 1/2*c_0101_5^14 - 11/16*c_0101_5^12 - 53/32*c_0101_5^10 + 33/128*c_0101_5^8 - 7/512*c_0101_5^6 + 217/4096*c_0101_5^4 + 47/4096*c_0101_5^2 + 25/16384 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB