Magma V2.19-8 Wed Aug 21 2013 00:53:19 on localhost [Seed = 1225743577] Type ? for help. Type -D to quit. Loading file "L12n1468__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1468 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 2 2 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 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 0.590511579273 1.214361044389 0 4 3 5 0132 3120 3120 0132 2 2 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 -1 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 0 0 0 -0.040336457175 0.885823183807 6 0 8 7 0132 0132 0132 0132 2 1 1 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 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 0.537087303398 1.038509725055 9 8 1 0 0132 0132 3120 0132 2 2 1 2 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914367636301 0.548365332451 6 1 0 6 3012 3120 0132 2031 2 2 1 2 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 0 0 0 0 0 0 -1 1 -2 0 1 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 0.601849419863 1.114194817038 10 8 1 9 0132 2031 0132 2103 2 2 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 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 0 0 0 0.037773888429 0.687802723051 2 4 9 4 0132 1302 2310 1230 2 1 2 1 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 -1 -1 2 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 0.284402621308 0.795879605410 11 12 2 10 0132 0132 0132 1302 2 1 0 1 0 0 0 0 -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 0 1 -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 0 0 0 0.851410953784 0.896398210200 5 3 12 2 1302 0132 0132 0132 2 1 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846294739041 0.547546740524 3 6 11 5 0132 3201 2031 2103 1 2 2 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 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541076090347 0.422274303039 5 12 7 11 0132 3012 2031 3012 0 2 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 7 12 10 9 0132 0213 1230 1302 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442950772158 0.586482859555 10 7 11 8 1230 0132 0213 0132 2 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 0.541076090347 0.422274303039 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_3']), '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_0101_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_11']), '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_0011_11'], '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' : d['1'], 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_1001_1']), '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_0101_10'], 's_1_7' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_6'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], '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_0'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(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_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0011_4']})} 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_6, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 70595/189584*c_1001_11^7 - 188137/379168*c_1001_11^6 + 455/1394*c_1001_11^5 - 1076945/379168*c_1001_11^4 + 1099965/189584*c_1001_11^3 - 966363/189584*c_1001_11^2 + 793533/379168*c_1001_11 - 62075/189584, c_0011_0 - 1, c_0011_10 - 3164/41*c_1001_11^7 + 3532/41*c_1001_11^6 - 11223/41*c_1001_11^5 + 19394/41*c_1001_11^4 - 52422/41*c_1001_11^3 + 90330/41*c_1001_11^2 - 63930/41*c_1001_11 + 15169/41, c_0011_11 + 1, c_0011_3 + 1016/41*c_1001_11^7 - 1070/41*c_1001_11^6 + 3587/41*c_1001_11^5 - 6014/41*c_1001_11^4 + 16621/41*c_1001_11^3 - 28117/41*c_1001_11^2 + 19455/41*c_1001_11 - 4482/41, c_0011_4 - 934/41*c_1001_11^7 + 1029/41*c_1001_11^6 - 3300/41*c_1001_11^5 + 5686/41*c_1001_11^4 - 15391/41*c_1001_11^3 + 26477/41*c_1001_11^2 - 18512/41*c_1001_11 + 4359/41, c_0101_0 - 1225/41*c_1001_11^7 + 2551/82*c_1001_11^6 - 4307/41*c_1001_11^5 + 14413/82*c_1001_11^4 - 19944/41*c_1001_11^3 + 33697/41*c_1001_11^2 - 46039/82*c_1001_11 + 5196/41, c_0101_1 - 1, c_0101_10 - 11/41*c_1001_11^7 - 315/82*c_1001_11^6 + 29/41*c_1001_11^5 - 975/82*c_1001_11^4 + 466/41*c_1001_11^3 - 2039/41*c_1001_11^2 + 5887/82*c_1001_11 - 1132/41, c_0101_3 - 291/41*c_1001_11^7 + 493/82*c_1001_11^6 - 1007/41*c_1001_11^5 + 3041/82*c_1001_11^4 - 4553/41*c_1001_11^3 + 7220/41*c_1001_11^2 - 9015/82*c_1001_11 + 878/41, c_0101_6 + 2032/41*c_1001_11^7 - 1812/41*c_1001_11^6 + 7010/41*c_1001_11^5 - 10962/41*c_1001_11^4 + 31889/41*c_1001_11^3 - 51642/41*c_1001_11^2 + 32350/41*c_1001_11 - 6340/41, c_1001_0 - 1225/41*c_1001_11^7 + 2551/82*c_1001_11^6 - 4307/41*c_1001_11^5 + 14413/82*c_1001_11^4 - 19944/41*c_1001_11^3 + 33697/41*c_1001_11^2 - 46039/82*c_1001_11 + 5196/41, c_1001_1 + 209/41*c_1001_11^7 - 411/82*c_1001_11^6 + 720/41*c_1001_11^5 - 2385/82*c_1001_11^4 + 3323/41*c_1001_11^3 - 5580/41*c_1001_11^2 + 7129/82*c_1001_11 - 714/41, c_1001_11^8 - 3/2*c_1001_11^7 + 4*c_1001_11^6 - 15/2*c_1001_11^5 + 19*c_1001_11^4 - 35*c_1001_11^3 + 63/2*c_1001_11^2 - 13*c_1001_11 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB