Magma V2.19-8 Tue Aug 20 2013 23:42:08 on localhost [Seed = 1377056518] Type ? for help. Type -D to quit. Loading file "L13a2130__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a2130 geometric_solution 8.52273930 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 -1 1 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 1.219499946654 0.998566788220 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 -17 0 17 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 0.537574046706 0.329286171057 4 0 8 6 3012 0132 0132 3201 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 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 0.638491937138 0.256406160760 6 5 6 0 0132 2031 2031 0132 1 1 1 1 0 -1 1 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 17 -16 -1 16 0 -16 0 1 0 0 -1 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.075148093411 0.658572342113 5 8 0 2 2031 3201 0132 1230 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 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 1.922880254629 1.152371363194 3 1 4 9 1302 0132 1302 0132 1 1 1 1 0 -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 17 0 -17 0 0 0 0 -17 0 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.434914979257 1.021780148681 3 2 1 3 0132 2310 0132 1302 1 1 1 1 0 0 1 -1 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 1 -17 16 -16 0 0 16 -16 0 0 16 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828961948543 1.498919334154 9 9 9 1 3012 0132 1302 0132 1 1 1 0 0 0 0 0 -1 0 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 0 0 0 17 0 -17 0 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647324020033 0.828569565166 10 10 4 2 0132 3201 2310 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 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 0.411118938466 0.482787076543 7 7 5 7 2031 0132 0132 1230 1 1 0 1 0 0 -1 1 0 0 0 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 0 17 -17 0 0 0 0 1 -3 0 2 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414480974271 0.749459667077 8 10 8 10 0132 2310 2310 3201 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 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 -1.140049242841 0.526581554860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_8']), '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_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_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' : d['c_0101_1'], 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0101_8']), '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' : negation(d['c_0011_7']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0101_8'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_10'], '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_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_0110_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 17089864243/15110074368*c_1001_1^14 + 12242217533/5036691456*c_1001_1^13 - 47415827555/3777518592*c_1001_1^12 + 2961334373/107163648*c_1001_1^11 - 1040096371/26790912*c_1001_1^10 + 291044567207/3777518592*c_1001_1^9 + 32338341527/629586432*c_1001_1^8 - 10267274623/49704192*c_1001_1^7 + 123389469881/236094912*c_1001_1^6 - 5728305805/4629312*c_1001_1^5 + 3589836743/4372128*c_1001_1^4 - 1393585603/2459322*c_1001_1^3 - 15182511677/29511864*c_1001_1^2 + 54708714725/14755932*c_1001_1 - 19592371405/7377966, c_0011_0 - 1, c_0011_10 + 17/2048*c_1001_1^14 + 5/2048*c_1001_1^13 + 71/1024*c_1001_1^12 - 7/2048*c_1001_1^11 - 1/1024*c_1001_1^10 - 47/256*c_1001_1^9 - 85/64*c_1001_1^8 - 49/128*c_1001_1^7 - 133/64*c_1001_1^6 + 29/16*c_1001_1^5 + 33/4*c_1001_1^4 + 35/8*c_1001_1^3 + 55/4*c_1001_1^2 - 9*c_1001_1 - 27, c_0011_3 + 1/1024*c_1001_1^13 - 1/1024*c_1001_1^12 + 1/256*c_1001_1^11 - 7/1024*c_1001_1^10 - 1/64*c_1001_1^9 + 1/128*c_1001_1^8 - 9/128*c_1001_1^7 + 1/8*c_1001_1^6 + 3/32*c_1001_1^5 + 3/8*c_1001_1^3 - 3/4*c_1001_1^2 - 1/2*c_1001_1 + 1, c_0011_7 - 1, c_0101_0 + 1/1024*c_1001_1^13 - 1/1024*c_1001_1^12 + 1/256*c_1001_1^11 - 7/1024*c_1001_1^10 - 1/64*c_1001_1^9 + 1/128*c_1001_1^8 - 9/128*c_1001_1^7 + 1/8*c_1001_1^6 + 3/32*c_1001_1^5 + 3/8*c_1001_1^3 - 3/4*c_1001_1^2 - 1/2*c_1001_1 + 1, c_0101_1 - 1/2048*c_1001_1^14 + 1/2048*c_1001_1^13 - 1/512*c_1001_1^12 + 7/2048*c_1001_1^11 + 1/128*c_1001_1^10 - 1/256*c_1001_1^9 + 9/256*c_1001_1^8 - 1/16*c_1001_1^7 - 3/64*c_1001_1^6 - 3/16*c_1001_1^4 + 3/8*c_1001_1^3 + 1/4*c_1001_1^2 - c_1001_1, c_0101_10 - 3/2048*c_1001_1^14 - 3/2048*c_1001_1^13 - 11/1024*c_1001_1^12 - 11/2048*c_1001_1^11 + 17/1024*c_1001_1^10 + 9/256*c_1001_1^9 + 35/128*c_1001_1^8 + 9/64*c_1001_1^7 + 3/16*c_1001_1^6 - 1/4*c_1001_1^5 - 19/8*c_1001_1^4 - c_1001_1^3 - 11/4*c_1001_1^2 + 3/2*c_1001_1 + 9, c_0101_3 + 1/2048*c_1001_1^14 - 1/2048*c_1001_1^13 + 1/512*c_1001_1^12 - 7/2048*c_1001_1^11 - 1/128*c_1001_1^10 + 1/256*c_1001_1^9 - 9/256*c_1001_1^8 + 1/16*c_1001_1^7 + 3/64*c_1001_1^6 + 3/16*c_1001_1^4 - 3/8*c_1001_1^3 - 1/4*c_1001_1^2, c_0101_8 - 3/2048*c_1001_1^14 + 1/2048*c_1001_1^13 - 13/1024*c_1001_1^12 + 21/2048*c_1001_1^11 - 5/1024*c_1001_1^10 + 13/256*c_1001_1^9 + 7/32*c_1001_1^8 - 1/16*c_1001_1^7 + 25/64*c_1001_1^6 - 7/8*c_1001_1^5 - 5/4*c_1001_1^4 - 5/8*c_1001_1^3 - 9/4*c_1001_1^2 + 4*c_1001_1 + 4, c_0110_2 - 1/512*c_1001_1^12 + 1/512*c_1001_1^11 - 1/128*c_1001_1^10 + 7/512*c_1001_1^9 + 1/32*c_1001_1^8 - 1/64*c_1001_1^7 + 9/64*c_1001_1^6 - 1/4*c_1001_1^5 - 3/16*c_1001_1^4 - 3/4*c_1001_1^2 + 3/2*c_1001_1 + 1, c_1001_1^15 - c_1001_1^14 + 8*c_1001_1^13 - 11*c_1001_1^12 - 20*c_1001_1^10 - 136*c_1001_1^9 + 160*c_1001_1^8 - 192*c_1001_1^7 + 512*c_1001_1^6 + 768*c_1001_1^5 - 768*c_1001_1^4 + 1024*c_1001_1^3 - 3072*c_1001_1^2 - 2048*c_1001_1 + 4096 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB