Magma V2.19-8 Wed Aug 21 2013 00:48:20 on localhost [Seed = 3103697940] Type ? for help. Type -D to quit. Loading file "K14n8980__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n8980 geometric_solution 11.23667495 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 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 1 0 -1 3 0 -2 -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 1.054585535170 0.713679489007 0 0 3 2 0132 2310 3120 3120 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 1 -1 0 -3 0 0 3 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349619088669 0.440138330158 1 0 5 4 3120 0132 0132 0132 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 -1 1 0 -3 0 3 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 0.543834711816 0.952901730532 4 5 1 0 0132 0132 3120 0132 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 0 0 0 -2 0 0 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543834711816 0.952901730532 3 6 2 7 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 2 0 0 -2 1 2 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113303881064 1.577654238152 8 3 9 2 0132 0132 0132 0132 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 0 1 -1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113303881064 1.577654238152 10 4 11 9 0132 0132 0132 0321 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 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550261651332 0.676050976063 8 11 4 12 2031 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 -2 0 2 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546748114972 0.203671940852 5 10 7 11 0132 0132 1302 2310 0 0 0 0 0 0 1 -1 -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 2 -2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546748114972 0.203671940852 11 6 12 5 2310 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550261651332 0.676050976063 6 8 12 12 0132 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393881312010 0.598303499296 8 7 9 6 3201 0132 3201 0132 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 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009094749688 0.438272903746 10 10 7 9 3012 1230 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 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 0.393881312010 0.598303499296 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_9']), 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_9']), '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_12'], 'c_1100_4' : d['c_1100_12'], 'c_1100_7' : d['c_1100_12'], 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1100_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_12'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_9, c_0101_0, c_0101_11, c_0101_12, c_0101_9, c_1001_0, c_1001_1, c_1001_6, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 16638569/119387*c_0101_9*c_1100_12^8 + 69562111/119387*c_0101_9*c_1100_12^7 - 159060925/119387*c_0101_9*c_1100_12^6 + 301408237/119387*c_0101_9*c_1100_12^5 - 416907429/119387*c_0101_9*c_1100_12^4 + 420816960/119387*c_0101_9*c_1100_12^3 - 350619913/119387*c_0101_9*c_1100_12^2 + 92915188/119387*c_0101_9*c_1100_12 - 22093657/119387*c_0101_9 + 28837405/119387*c_1100_12^8 - 121503320/119387*c_1100_12^7 + 278870114/119387*c_1100_12^6 - 528374766/119387*c_1100_12^5 + 732938143/119387*c_1100_12^4 - 740538627/119387*c_1100_12^3 + 614993321/119387*c_1100_12^2 - 165113200/119387*c_1100_12 + 31178795/119387, c_0011_0 - 1, c_0011_10 - c_1100_12, c_0011_11 - 123/277*c_1100_12^8 + 604/277*c_1100_12^7 - 1563/277*c_1100_12^6 + 3092/277*c_1100_12^5 - 4666/277*c_1100_12^4 + 5279/277*c_1100_12^3 - 4534/277*c_1100_12^2 + 2124/277*c_1100_12 - 217/277, c_0011_12 - c_0101_9, c_0011_9 - 35/277*c_0101_9*c_1100_12^8 + 39/277*c_0101_9*c_1100_12^7 + 116/277*c_0101_9*c_1100_12^6 - 325/277*c_0101_9*c_1100_12^5 + 859/277*c_0101_9*c_1100_12^4 - 1439/277*c_0101_9*c_1100_12^3 + 1383/277*c_0101_9*c_1100_12^2 - 1490/277*c_0101_9*c_1100_12 + 213/277*c_0101_9, c_0101_0 - 97/277*c_1100_12^8 + 393/277*c_1100_12^7 - 834/277*c_1100_12^6 + 1434/277*c_1100_12^5 - 1806/277*c_1100_12^4 + 1544/277*c_1100_12^3 - 979/277*c_1100_12^2 - 291/277*c_1100_12 + 250/277, c_0101_11 + 8/277*c_1100_12^8 - 1/277*c_1100_12^7 - 74/277*c_1100_12^6 + 193/277*c_1100_12^5 - 505/277*c_1100_12^4 + 875/277*c_1100_12^3 - 973/277*c_1100_12^2 + 1132/277*c_1100_12 - 389/277, c_0101_12 - 123/277*c_0101_9*c_1100_12^8 + 604/277*c_0101_9*c_1100_12^7 - 1563/277*c_0101_9*c_1100_12^6 + 3092/277*c_0101_9*c_1100_12^5 - 4666/277*c_0101_9*c_1100_12^4 + 5279/277*c_0101_9*c_1100_12^3 - 4811/277*c_0101_9*c_1100_12^2 + 2401/277*c_0101_9*c_1100_12 - 494/277*c_0101_9 + 11/277*c_1100_12^8 - 36/277*c_1100_12^7 + 106/277*c_1100_12^6 - 254/277*c_1100_12^5 + 379/277*c_1100_12^4 - 355/277*c_1100_12^3 + 428/277*c_1100_12^2 - 244/277*c_1100_12 + 123/277, c_0101_9^2 - 8/277*c_0101_9*c_1100_12^8 + 1/277*c_0101_9*c_1100_12^7 + 74/277*c_0101_9*c_1100_12^6 - 193/277*c_0101_9*c_1100_12^5 + 505/277*c_0101_9*c_1100_12^4 - 875/277*c_0101_9*c_1100_12^3 + 973/277*c_0101_9*c_1100_12^2 - 1132/277*c_0101_9*c_1100_12 + 389/277*c_0101_9 - 162/277*c_1100_12^8 + 782/277*c_1100_12^7 - 1964/277*c_1100_12^6 + 3917/277*c_1100_12^5 - 5909/277*c_1100_12^4 + 6588/277*c_1100_12^3 - 5850/277*c_1100_12^2 + 2838/277*c_1100_12 - 502/277, c_1001_0 + 123/277*c_1100_12^8 - 604/277*c_1100_12^7 + 1563/277*c_1100_12^6 - 3092/277*c_1100_12^5 + 4666/277*c_1100_12^4 - 5279/277*c_1100_12^3 + 4534/277*c_1100_12^2 - 2124/277*c_1100_12 + 217/277, c_1001_1 + 97/277*c_1100_12^8 - 393/277*c_1100_12^7 + 834/277*c_1100_12^6 - 1434/277*c_1100_12^5 + 1806/277*c_1100_12^4 - 1544/277*c_1100_12^3 + 979/277*c_1100_12^2 + 291/277*c_1100_12 - 250/277, c_1001_6 - 8/277*c_1100_12^8 + 1/277*c_1100_12^7 + 74/277*c_1100_12^6 - 193/277*c_1100_12^5 + 505/277*c_1100_12^4 - 875/277*c_1100_12^3 + 973/277*c_1100_12^2 - 1132/277*c_1100_12 + 389/277, c_1100_12^9 - 5*c_1100_12^8 + 13*c_1100_12^7 - 26*c_1100_12^6 + 40*c_1100_12^5 - 46*c_1100_12^4 + 42*c_1100_12^3 - 23*c_1100_12^2 + 6*c_1100_12 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 10.280 Total time: 10.480 seconds, Total memory usage: 64.12MB