Magma V2.19-8 Tue Aug 20 2013 23:52:46 on localhost [Seed = 3987441213] Type ? for help. Type -D to quit. Loading file "L13n3812__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3812 geometric_solution 11.43437347 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 -1 0 1 1 0 -1 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 6 1 -7 -6 0 6 0 7 -7 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.951563050673 1.143820781556 0 5 4 6 0132 0132 2310 0132 0 1 0 1 0 0 0 0 -1 0 1 0 -1 0 0 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 6 0 -6 0 -2 1 0 1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172043843780 0.748181093403 7 0 8 5 0132 0132 0132 2103 1 1 0 1 0 1 -1 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 -1 1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.154333966170 1.064587085833 9 10 11 0 0132 0132 0132 0132 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 1 -1 0 0 6 -6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444254705157 0.564113862728 8 1 0 10 1230 3201 0132 0132 1 1 0 1 0 1 -1 0 -1 0 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 -7 7 0 7 0 0 -7 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424561187295 1.048007409487 7 1 9 2 1023 0132 3012 2103 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 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 0.177665752090 0.572975814941 9 10 1 11 2103 3012 0132 2310 0 1 1 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 1 0 -1 0 0 0 0 -1 7 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531088536230 0.892073902292 2 5 10 11 0132 1023 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643457138226 1.194343903401 9 4 11 2 3012 3012 3012 0132 1 1 1 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 6 0 -6 1 0 -1 0 0 -7 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379190931321 0.468136151674 3 5 6 8 0132 1230 2103 1230 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 -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 0.446256914111 1.274275232140 6 3 4 7 1230 0132 0132 0132 1 1 0 0 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 0 0 -7 0 7 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 0.304827205619 0.640928786048 6 8 7 3 3201 1230 0132 0132 1 1 0 1 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 6 0 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379815415612 0.771278131494 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_11']), 'c_1001_11' : d['c_0110_5'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0101_5'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_5']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(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_11'], 'c_0011_7' : d['c_0011_0'], '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_0011_8'], 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : d['c_0011_6'], '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_8'], 'c_0101_2' : d['c_0101_11'], '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_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_11'], '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_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_5, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 284996161/91695*c_1100_0^8 - 1899434996/91695*c_1100_0^7 - 16644130427/366780*c_1100_0^6 - 216992641/6113*c_1100_0^5 - 525797675/24452*c_1100_0^4 - 5766325947/122260*c_1100_0^3 - 1857651467/91695*c_1100_0^2 - 39069239/122260*c_1100_0 - 3462160961/366780, c_0011_0 - 1, c_0011_10 + 4248/6113*c_1100_0^8 + 24940/6113*c_1100_0^7 + 39128/6113*c_1100_0^6 - 4638/6113*c_1100_0^5 - 23158/6113*c_1100_0^4 + 22383/6113*c_1100_0^3 - 15944/6113*c_1100_0^2 - 620/6113*c_1100_0 - 485/6113, c_0011_11 + 312/6113*c_1100_0^8 + 3006/6113*c_1100_0^7 + 8227/6113*c_1100_0^6 + 2146/6113*c_1100_0^5 - 15930/6113*c_1100_0^4 - 10064/6113*c_1100_0^3 - 204/6113*c_1100_0^2 - 12237/6113*c_1100_0 + 2900/6113, c_0011_6 + 1478/6113*c_1100_0^8 + 10243/6113*c_1100_0^7 + 22789/6113*c_1100_0^6 + 12909/6113*c_1100_0^5 - 5634/6113*c_1100_0^4 + 14082/6113*c_1100_0^3 + 14081/6113*c_1100_0^2 - 10358/6113*c_1100_0 + 3236/6113, c_0011_8 + 152/6113*c_1100_0^8 + 524/6113*c_1100_0^7 - 1478/6113*c_1100_0^6 - 5381/6113*c_1100_0^5 + 3995/6113*c_1100_0^4 + 14063/6113*c_1100_0^3 - 3391/6113*c_1100_0^2 - 2670/6113*c_1100_0 + 3137/6113, c_0101_0 + 1130/6113*c_1100_0^8 + 4539/6113*c_1100_0^7 - 2140/6113*c_1100_0^6 - 22871/6113*c_1100_0^5 - 10437/6113*c_1100_0^4 + 12611/6113*c_1100_0^3 - 15316/6113*c_1100_0^2 + 5407/6113*c_1100_0 + 3293/6113, c_0101_1 - 1, c_0101_11 + 3666/6113*c_1100_0^8 + 26151/6113*c_1100_0^7 + 64574/6113*c_1100_0^6 + 64950/6113*c_1100_0^5 + 42060/6113*c_1100_0^4 + 65138/6113*c_1100_0^3 + 46507/6113*c_1100_0^2 + 7512/6113*c_1100_0 + 9623/6113, c_0101_5 - 2322/6113*c_1100_0^8 - 15083/6113*c_1100_0^7 - 31956/6113*c_1100_0^6 - 23730/6113*c_1100_0^5 - 13814/6113*c_1100_0^4 - 25730/6113*c_1100_0^3 + 1048/6113*c_1100_0^2 + 1375/6113*c_1100_0 - 1833/6113, c_0110_5 - 2994/6113*c_1100_0^8 - 20617/6113*c_1100_0^7 - 48265/6113*c_1100_0^6 - 44340/6113*c_1100_0^5 - 27937/6113*c_1100_0^4 - 45434/6113*c_1100_0^3 - 25786/6113*c_1100_0^2 - 6125/6113*c_1100_0 - 5728/6113, c_1001_0 + 1130/6113*c_1100_0^8 + 4539/6113*c_1100_0^7 - 2140/6113*c_1100_0^6 - 22871/6113*c_1100_0^5 - 10437/6113*c_1100_0^4 + 12611/6113*c_1100_0^3 - 15316/6113*c_1100_0^2 - 706/6113*c_1100_0 + 3293/6113, c_1100_0^9 + 13/2*c_1100_0^8 + 27/2*c_1100_0^7 + 9*c_1100_0^6 + 5*c_1100_0^5 + 14*c_1100_0^4 + 4*c_1100_0^3 - c_1100_0^2 + 3*c_1100_0 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.320 seconds, Total memory usage: 32.09MB