Magma V2.19-8 Wed Aug 21 2013 00:57:58 on localhost [Seed = 1495221241] Type ? for help. Type -D to quit. Loading file "L13n4640__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4640 geometric_solution 11.31136895 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 -1 0 1 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.481243774683 0.872212952322 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 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 -1 0 1 0 0 8 -8 0 7 0 -7 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.137626442418 0.753616695322 5 0 4 8 0132 0132 2103 0132 1 1 1 0 0 0 0 0 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -7 0 0 7 -7 0 0 7 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.021718384998 1.206102702205 9 10 8 0 0132 0132 3201 0132 1 1 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.041723478167 0.816662223266 2 10 0 8 2103 3201 0132 3201 1 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 0 0 0 8 -1 -7 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 0.219580456562 2.112956831278 2 1 11 7 0132 0132 0132 3120 1 1 0 1 0 0 0 0 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 7 0 1 -8 -2 0 0 2 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014925130849 0.828848031295 9 8 1 11 1230 0321 0132 0321 1 1 1 1 0 0 0 0 -1 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 1 -1 0 -8 0 8 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.591353905808 1.192623886582 5 12 11 1 3120 0132 0321 0132 1 1 0 1 0 0 0 0 1 0 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 8 0 0 -8 -2 -1 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338694748001 0.515531534826 3 4 2 6 2310 2310 0132 0321 1 1 1 1 0 0 0 0 0 0 -1 1 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 1 -1 0 0 -7 7 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197930791698 0.542923222450 3 6 9 9 0132 3012 1230 3012 1 1 1 1 0 0 1 -1 0 0 1 -1 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 0 8 -8 0 0 8 -8 0 8 0 -8 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109507674605 0.888997892497 12 3 4 12 0321 0132 2310 1302 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 1 0 -1 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290037517000 0.983745465351 12 6 7 5 3012 0321 0321 0132 1 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 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 0.271212571550 0.475463419652 10 7 10 11 0321 0132 2031 1230 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 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 0.482376397598 0.668395309742 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0110_4']), 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_4']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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_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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(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' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0110_4']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0011_4'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : negation(d['c_0110_4']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_5'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_4, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 1105/85352*c_1001_11^4 - 97/3632*c_1001_11^3 + 44771/85352*c_1001_11^2 + 42719/170704*c_1001_11 + 75525/170704, c_0011_0 - 1, c_0011_10 - 7/227*c_1001_11^4 + 6/227*c_1001_11^3 + 230/227*c_1001_11^2 + 82/227*c_1001_11 - 15/227, c_0011_12 - 27/454*c_1001_11^4 + 44/227*c_1001_11^3 + 271/454*c_1001_11^2 + 673/454*c_1001_11 + 117/227, c_0011_4 - 27/454*c_1001_11^4 + 44/227*c_1001_11^3 + 271/454*c_1001_11^2 + 673/454*c_1001_11 + 117/227, c_0011_6 + 13/908*c_1001_11^4 - 19/227*c_1001_11^3 + 189/908*c_1001_11^2 - 55/908*c_1001_11 + 161/227, c_0011_8 - 33/454*c_1001_11^4 + 79/227*c_1001_11^3 + 79/454*c_1001_11^2 + 419/454*c_1001_11 + 143/227, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 3/227*c_1001_11^4 + 35/227*c_1001_11^3 - 96/227*c_1001_11^2 - 127/227*c_1001_11 + 26/227, c_0101_5 - 10/227*c_1001_11^4 + 41/227*c_1001_11^3 + 134/227*c_1001_11^2 - 45/227*c_1001_11 + 11/227, c_0110_4 - 27/454*c_1001_11^4 + 44/227*c_1001_11^3 + 271/454*c_1001_11^2 + 219/454*c_1001_11 + 117/227, c_1001_0 + 3/227*c_1001_11^4 - 35/227*c_1001_11^3 + 96/227*c_1001_11^2 + 127/227*c_1001_11 - 26/227, c_1001_11^5 - 4*c_1001_11^4 - 7*c_1001_11^3 - 15*c_1001_11^2 - 12*c_1001_11 - 16 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_4, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 18740434001/10776178*c_1001_11^6 - 89682152079/21552356*c_1001_11^5 + 981680433875/172418848*c_1001_11^4 - 577317661261/86209424*c_1001_11^3 + 385783035639/172418848*c_1001_11^2 + 492416010761/172418848*c_1001_11 - 176338256351/86209424, c_0011_0 - 1, c_0011_10 - 68688/109961*c_1001_11^6 - 37032/109961*c_1001_11^5 - 5855/109961*c_1001_11^4 - 97550/109961*c_1001_11^3 + 279704/109961*c_1001_11^2 + 54796/109961*c_1001_11 - 147565/109961, c_0011_12 + 73528/109961*c_1001_11^6 - 101748/109961*c_1001_11^5 + 353509/219922*c_1001_11^4 - 116446/109961*c_1001_11^3 - 72637/219922*c_1001_11^2 + 442429/219922*c_1001_11 - 86715/109961, c_0011_4 - 73528/109961*c_1001_11^6 + 101748/109961*c_1001_11^5 - 353509/219922*c_1001_11^4 + 116446/109961*c_1001_11^3 + 72637/219922*c_1001_11^2 - 442429/219922*c_1001_11 + 86715/109961, c_0011_6 - 149348/109961*c_1001_11^6 + 181974/109961*c_1001_11^5 - 888603/439844*c_1001_11^4 + 182648/109961*c_1001_11^3 + 681585/439844*c_1001_11^2 - 987911/439844*c_1001_11 - 29151/109961, c_0011_8 + 13256/109961*c_1001_11^6 + 41572/109961*c_1001_11^5 - 177653/219922*c_1001_11^4 + 58579/109961*c_1001_11^3 - 344761/219922*c_1001_11^2 - 215125/219922*c_1001_11 + 158969/109961, c_0101_0 - 1, c_0101_1 + 1, c_0101_11 - 86784/109961*c_1001_11^6 + 60176/109961*c_1001_11^5 - 87928/109961*c_1001_11^4 + 57867/109961*c_1001_11^3 + 208699/109961*c_1001_11^2 - 113652/109961*c_1001_11 - 72254/109961, c_0101_5 + 18096/109961*c_1001_11^6 - 97208/109961*c_1001_11^5 + 82073/109961*c_1001_11^4 - 155417/109961*c_1001_11^3 + 71005/109961*c_1001_11^2 + 168448/109961*c_1001_11 - 75311/109961, c_0110_4 - 73528/109961*c_1001_11^6 + 101748/109961*c_1001_11^5 - 353509/219922*c_1001_11^4 + 116446/109961*c_1001_11^3 + 72637/219922*c_1001_11^2 - 222507/219922*c_1001_11 + 86715/109961, c_1001_0 + 86784/109961*c_1001_11^6 - 60176/109961*c_1001_11^5 + 87928/109961*c_1001_11^4 - 57867/109961*c_1001_11^3 - 208699/109961*c_1001_11^2 + 113652/109961*c_1001_11 + 72254/109961, c_1001_11^7 - 3/2*c_1001_11^6 + 19/16*c_1001_11^5 - c_1001_11^4 - 33/16*c_1001_11^3 + 43/16*c_1001_11^2 + 1/4*c_1001_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB