Magma V2.19-8 Tue Aug 20 2013 23:44:21 on localhost [Seed = 2496852332] Type ? for help. Type -D to quit. Loading file "L14n32826__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32826 geometric_solution 9.83591733 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 3201 0132 0132 1 0 1 0 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 1 0 -1 -1 0 -2 3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506308961334 0.628758054088 0 4 0 4 0132 0132 2310 2310 1 0 0 1 0 -1 0 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 2 0 -2 1 0 0 -1 0 1 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.776922298205 0.964818302070 5 6 7 0 0132 0132 0132 0132 1 0 0 1 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 -2 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 0.655544642248 0.285514161226 6 8 0 9 2310 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 2 0 -3 1 0 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625878072577 0.971625671247 1 1 5 9 3201 0132 0321 3120 1 0 1 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 -2 0 2 1 0 0 -1 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506308961334 0.628758054088 2 8 4 10 0132 2031 0321 0132 1 0 1 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 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.720832754150 1.426373866324 7 2 3 10 0321 0132 3201 0321 1 1 1 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 0 0 0 1 0 0 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531451164773 0.727384608100 6 9 8 2 0321 2103 0132 0132 1 0 1 1 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 0 0 0 -2 0 0 2 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804089228448 0.727012937721 5 3 10 7 1302 0132 2103 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345565011039 1.282370703042 4 7 3 10 3120 2103 0132 2103 1 0 1 1 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 -1 1 0 1 0 -1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531451164773 0.727384608100 8 6 5 9 2103 0321 0132 2103 1 0 1 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345123395987 0.896314080274 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_2'], '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_10' : 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_1100_9' : negation(d['c_0110_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0110_10']), 'c_1100_3' : negation(d['c_0110_10']), 'c_1100_2' : negation(d['c_0110_10']), 'c_1100_10' : negation(d['c_0110_4']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_1001_2']), 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0110_10']), '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'], '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_3']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0011_2'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_4'], 'c_0110_8' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_2'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_6, c_0110_10, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + c_1001_2^3 - 3*c_1001_2^2 - 2*c_1001_2 + 6, c_0011_0 - 1, c_0011_10 - 1/3*c_1001_2^3 + c_1001_2^2 + 2/3*c_1001_2 + 2/3, c_0011_2 + 1/3*c_1001_2^3 - c_1001_2^2 - 2/3*c_1001_2 + 1/3, c_0011_3 + 1/3*c_1001_2^3 - c_1001_2^2 + 1/3*c_1001_2 + 1/3, c_0011_9 - 1/3*c_1001_2^3 + c_1001_2^2 + 2/3*c_1001_2 - 1/3, c_0101_0 - 1, c_0101_1 - 1/3*c_1001_2^3 + 8/3*c_1001_2 + 5/3, c_0101_6 - 4/3*c_1001_2^3 + 2*c_1001_2^2 + 17/3*c_1001_2 + 5/3, c_0110_10 - c_1001_2^3 + c_1001_2^2 + 5*c_1001_2 + 2, c_0110_4 + 2/3*c_1001_2^3 - c_1001_2^2 - 10/3*c_1001_2 - 1/3, c_1001_2^4 - c_1001_2^3 - 5*c_1001_2^2 - 3*c_1001_2 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_6, c_0110_10, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3410307592683664132/101116569479375*c_1001_2^8 - 133521310299356146/101116569479375*c_1001_2^7 + 6763364804786140737/101116569479375*c_1001_2^6 + 10371326519961744511/323573022334000*c_1001_2^5 + 23362410482201143081/6471460446680000*c_1001_2^4 - 39486732062736431629/25885841786720000*c_1001_2^3 + 7816799406366687473/20708673429376000*c_1001_2^2 - 43956268909260273351/51771683573440000*c_1001_2 - 37587650708207495699/103543367146880000, c_0011_0 - 1, c_0011_10 + 2877267072512/161786511167*c_1001_2^8 + 622893716224/161786511167*c_1001_2^7 + 6854010139776/161786511167*c_1001_2^6 + 3913191463368/161786511167*c_1001_2^5 + 3508281161038/161786511167*c_1001_2^4 + 1080608617677/323573022334*c_1001_2^3 + 2633873391771/1294292089336*c_1001_2^2 + 374284009537/1294292089336*c_1001_2 + 128861095475/323573022334, c_0011_2 + 4463444325888/161786511167*c_1001_2^8 - 4844429257984/161786511167*c_1001_2^7 + 9958016254080/161786511167*c_1001_2^6 - 5789573584568/161786511167*c_1001_2^5 - 1782363712338/161786511167*c_1001_2^4 - 2860183674147/323573022334*c_1001_2^3 + 1955665643243/1294292089336*c_1001_2^2 - 2478958058303/1294292089336*c_1001_2 + 52259829279/323573022334, c_0011_3 - c_1001_2, c_0011_9 + 1510347409920/161786511167*c_1001_2^8 + 675584974080/161786511167*c_1001_2^7 + 2835088910208/161786511167*c_1001_2^6 + 2959101840824/161786511167*c_1001_2^5 + 578516778450/161786511167*c_1001_2^4 + 184347734115/323573022334*c_1001_2^3 - 447318312907/1294292089336*c_1001_2^2 + 501519480479/1294292089336*c_1001_2 + 99784946005/323573022334, c_0101_0 - 1, c_0101_1 - 8035144625664/161786511167*c_1001_2^8 + 1508419469568/161786511167*c_1001_2^7 - 15459960834688/161786511167*c_1001_2^6 - 5304777500648/161786511167*c_1001_2^5 + 1139045209018/161786511167*c_1001_2^4 + 1892811215519/323573022334*c_1001_2^3 - 4018523385927/1294292089336*c_1001_2^2 + 698351548371/1294292089336*c_1001_2 + 41234705499/323573022334, c_0101_6 + 3020694819840/161786511167*c_1001_2^8 + 1351169948160/161786511167*c_1001_2^7 + 5670177820416/161786511167*c_1001_2^6 + 5918203681648/161786511167*c_1001_2^5 + 1157033556900/161786511167*c_1001_2^4 + 184347734115/161786511167*c_1001_2^3 - 447318312907/647146044668*c_1001_2^2 + 501519480479/647146044668*c_1001_2 - 62001565162/161786511167, c_0110_10 - 3020694819840/161786511167*c_1001_2^8 - 1351169948160/161786511167*c_1001_2^7 - 5670177820416/161786511167*c_1001_2^6 - 5918203681648/161786511167*c_1001_2^5 - 1157033556900/161786511167*c_1001_2^4 - 184347734115/161786511167*c_1001_2^3 + 447318312907/647146044668*c_1001_2^2 - 501519480479/647146044668*c_1001_2 + 62001565162/161786511167, c_0110_4 - 8035144625664/161786511167*c_1001_2^8 + 1508419469568/161786511167*c_1001_2^7 - 15459960834688/161786511167*c_1001_2^6 - 5304777500648/161786511167*c_1001_2^5 + 1139045209018/161786511167*c_1001_2^4 + 1892811215519/323573022334*c_1001_2^3 - 4018523385927/1294292089336*c_1001_2^2 + 698351548371/1294292089336*c_1001_2 + 41234705499/323573022334, c_1001_2^9 - 1/2*c_1001_2^8 + 9/4*c_1001_2^7 - 5/64*c_1001_2^6 + 57/256*c_1001_2^5 - 93/1024*c_1001_2^4 + 325/4096*c_1001_2^3 - 97/2048*c_1001_2^2 + 37/4096*c_1001_2 - 5/1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB