Magma V2.19-8 Wed Aug 21 2013 00:51:06 on localhost [Seed = 1747877230] Type ? for help. Type -D to quit. Loading file "L10n65__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n65 geometric_solution 12.00595117 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.277993362834 1.780190528975 0 5 7 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148589046216 0.896398210200 5 0 8 3 0132 0132 0132 3120 2 1 2 2 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 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 -0.040336457175 0.885823183807 2 8 9 0 3120 0132 0132 0132 2 1 2 2 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 1 0 -1 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676143942971 0.665995711938 5 9 0 10 3012 0132 0132 0132 2 1 1 2 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 1 -1 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167050952503 0.538912172013 2 1 11 4 0132 0132 0132 1230 1 1 2 2 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 -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 0.037773888429 0.687802723051 11 10 1 12 0132 3120 0132 0132 1 1 0 2 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 1 0 -1 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179975199083 1.085742525756 8 8 9 1 0132 1230 1302 0132 1 1 2 2 0 0 0 0 0 0 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 -1 1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624700923778 0.694785558920 7 3 7 2 0132 0132 3012 0132 2 1 2 2 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 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284402621308 0.795879605410 7 4 12 3 2031 0132 2031 0132 2 1 2 1 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 -1 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358072445524 0.803308528111 11 6 4 12 2031 3120 0132 2031 2 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 1 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.179975199083 1.085742525756 6 12 10 5 0132 1023 1302 0132 1 1 2 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 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 -0.148589046216 0.896398210200 11 10 6 9 1023 1302 0132 1302 1 1 2 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179975199083 1.085742525756 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0110_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0110_12'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : negation(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_1010_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_1010_12']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1010_12']), 'c_1100_3' : negation(d['c_1010_12']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1010_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0110_12']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0110_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_3']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_9'], '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_9, c_0110_12, c_1001_2, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 22076965/40192*c_1001_2^7 + 26896007/20096*c_1001_2^6 + 54715267/40192*c_1001_2^5 - 15857975/40192*c_1001_2^4 - 31052629/20096*c_1001_2^3 - 6469033/10048*c_1001_2^2 + 4552713/10048*c_1001_2 + 10314795/40192, c_0011_0 - 1, c_0011_10 - 775149/2512*c_1001_2^7 - 1871119/2512*c_1001_2^6 - 936933/1256*c_1001_2^5 + 612353/2512*c_1001_2^4 + 2188743/2512*c_1001_2^3 + 874603/2512*c_1001_2^2 - 658817/2512*c_1001_2 - 89587/628, c_0011_11 + 1, c_0011_3 + 56899/1256*c_1001_2^7 + 139385/1256*c_1001_2^6 + 71267/628*c_1001_2^5 - 38767/1256*c_1001_2^4 - 159561/1256*c_1001_2^3 - 66261/1256*c_1001_2^2 + 46447/1256*c_1001_2 + 6575/314, c_0011_4 - 278511/1256*c_1001_2^7 - 666949/1256*c_1001_2^6 - 330991/628*c_1001_2^5 + 231499/1256*c_1001_2^4 + 783845/1256*c_1001_2^3 + 305985/1256*c_1001_2^2 - 238691/1256*c_1001_2 - 31803/314, c_0101_0 - 1, c_0101_1 + 47651/628*c_1001_2^7 + 115381/628*c_1001_2^6 + 59103/314*c_1001_2^5 - 31035/628*c_1001_2^4 - 127653/628*c_1001_2^3 - 53449/628*c_1001_2^2 + 36043/628*c_1001_2 + 4904/157, c_0101_10 - 255017/1256*c_1001_2^7 - 603731/1256*c_1001_2^6 - 287693/628*c_1001_2^5 + 265077/1256*c_1001_2^4 + 756347/1256*c_1001_2^3 + 266799/1256*c_1001_2^2 - 254925/1256*c_1001_2 - 32975/314, c_0101_3 - 106437/1256*c_1001_2^7 - 256151/1256*c_1001_2^6 - 127529/628*c_1001_2^5 + 86185/1256*c_1001_2^4 + 299327/1256*c_1001_2^3 + 115923/1256*c_1001_2^2 - 91305/1256*c_1001_2 - 12181/314, c_0101_9 + 130033/314*c_1001_2^7 + 316847/314*c_1001_2^6 + 162310/157*c_1001_2^5 - 86819/314*c_1001_2^4 - 358099/314*c_1001_2^3 - 151951/314*c_1001_2^2 + 100973/314*c_1001_2 + 28306/157, c_0110_12 - 57222/157*c_1001_2^7 - 138516/157*c_1001_2^6 - 139775/157*c_1001_2^5 + 43328/157*c_1001_2^4 + 160732/157*c_1001_2^3 + 65733/157*c_1001_2^2 - 47458/157*c_1001_2 - 26089/157, c_1001_2^8 + 50/17*c_1001_2^7 + 63/17*c_1001_2^6 + 9/17*c_1001_2^5 - 54/17*c_1001_2^4 - 44/17*c_1001_2^3 + 4/17*c_1001_2^2 + 15/17*c_1001_2 + 4/17, c_1010_12 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB