Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 1528481661] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s154 geometric_solution 4.22402136 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 2.487821136219 0.620535466746 0 2 2 0 3201 0132 3201 0132 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 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 -0.202281009624 0.450801182536 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 -1 0 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 -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 -0.741630538797 1.414900703647 5 4 4 2 0132 2031 1230 0132 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 1 0 -1 1 0 -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 0.590505414293 0.676977078583 3 5 2 3 1302 0132 0132 3012 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 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 0.590505414293 0.676977078583 3 4 5 5 0132 0132 2031 1302 0 0 0 0 0 -1 1 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 -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 0.576486780566 0.276885303787 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : 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_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' : d['1'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), '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_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6031975417359/425279234096*c_0110_4^11 - 11711836800087/425279234096*c_0110_4^10 - 4692337631755/106319808524*c_0110_4^9 + 11763634509171/106319808524*c_0110_4^8 + 4704719979775/26579952131*c_0110_4^7 - 15774942897173/212639617048*c_0110_4^6 - 261638617791551/425279234096*c_0110_4^5 + 71119446271705/53159904262*c_0110_4^4 - 226503374423373/425279234096*c_0110_4^3 - 31606798510401/22383117584*c_0110_4^2 + 317919208868777/425279234096*c_0110_4 + 84590146019479/425279234096, c_0011_0 - 1, c_0011_1 + 831249/5971681*c_0110_4^11 - 1661957/5971681*c_0110_4^10 - 2417960/5971681*c_0110_4^9 + 6488862/5971681*c_0110_4^8 + 9823606/5971681*c_0110_4^7 - 4424981/5971681*c_0110_4^6 - 35053634/5971681*c_0110_4^5 + 79766728/5971681*c_0110_4^4 - 37579859/5971681*c_0110_4^3 - 3820708/314299*c_0110_4^2 + 43390886/5971681*c_0110_4 + 746280/5971681, c_0101_0 - 1617905533/26579952131*c_0110_4^11 + 4549079516/26579952131*c_0110_4^10 + 3034705920/26579952131*c_0110_4^9 - 17662405001/26579952131*c_0110_4^8 - 11917308090/26579952131*c_0110_4^7 + 28334547505/26579952131*c_0110_4^6 + 73461684596/26579952131*c_0110_4^5 - 205074365870/26579952131*c_0110_4^4 + 178301174465/26579952131*c_0110_4^3 + 8319573111/1398944849*c_0110_4^2 - 213051609483/26579952131*c_0110_4 - 2588520909/26579952131, c_0101_2 + 367283408/26579952131*c_0110_4^11 - 265423968/26579952131*c_0110_4^10 - 2209734719/26579952131*c_0110_4^9 + 1665531399/26579952131*c_0110_4^8 + 9037967165/26579952131*c_0110_4^7 + 2766229467/26579952131*c_0110_4^6 - 21029580259/26579952131*c_0110_4^5 + 12453040421/26579952131*c_0110_4^4 + 35109042044/26579952131*c_0110_4^3 - 3132821925/1398944849*c_0110_4^2 - 21609879367/26579952131*c_0110_4 + 28999411815/26579952131, c_0101_3 + 469142848/26579952131*c_0110_4^11 - 1107884495/26579952131*c_0110_4^10 - 1272735865/26579952131*c_0110_4^9 + 4630566269/26579952131*c_0110_4^8 + 4969929915/26579952131*c_0110_4^7 - 5236393715/26579952131*c_0110_4^6 - 23173450155/26579952131*c_0110_4^5 + 50902228588/26579952131*c_0110_4^4 - 23529842591/26579952131*c_0110_4^3 - 2297204413/1398944849*c_0110_4^2 + 51906529866/26579952131*c_0110_4 + 367283408/26579952131, c_0110_4^12 - 2*c_0110_4^11 - 3*c_0110_4^10 + 8*c_0110_4^9 + 12*c_0110_4^8 - 6*c_0110_4^7 - 43*c_0110_4^6 + 97*c_0110_4^5 - 43*c_0110_4^4 - 98*c_0110_4^3 + 60*c_0110_4^2 + 10*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB