Magma V2.19-8 Tue Aug 20 2013 23:40:35 on localhost [Seed = 3052654882] Type ? for help. Type -D to quit. Loading file "L11n127__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n127 geometric_solution 9.56130097 oriented_manifold CS_known -0.0000000000000004 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362228333166 0.641131251199 0 4 6 5 0132 2103 0132 0132 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 0 0 0 0 0 0 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 0 0 0 0 0 0.779690557450 0.468685302697 7 0 7 6 0132 0132 3012 2310 1 0 1 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 0 0 0 0 0 1 -1 0 -3 0 3 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 0.393829051432 0.675563107860 8 4 9 0 0132 3012 0132 0132 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 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 -0.754613588408 0.231539409253 3 1 0 9 1230 2103 0132 0132 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 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 0.020546713862 1.079650503202 10 7 1 8 0132 0213 0132 2103 0 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 -1 1 0 2 0 1 -3 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155981356778 1.465529046359 2 9 10 1 3201 2103 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 -2 3 -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 0.873447393081 1.162107127520 2 2 5 10 0132 1230 0213 3012 0 0 1 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 -3 1 2 3 0 0 -3 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735797290535 0.820028583559 3 9 10 5 0132 2031 0132 2103 0 1 0 1 0 1 0 -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 2 0 -2 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550700910634 0.959784135271 8 6 4 3 1302 2103 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.074024269402 1.176769533327 5 6 7 8 0132 0213 1230 0132 0 1 1 0 0 -1 1 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 -3 3 0 -2 0 -1 3 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393884723515 0.437558442761 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_3']), '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_1100_0'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0011_9'], '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' : d['c_0011_9'], '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' : 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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 405211951/11311493776*c_1100_0^8 + 544605253/5655746888*c_1100_0^7 - 105995749/1028317616*c_1100_0^6 - 481751923/5655746888*c_1100_0^5 + 26338639/182443448*c_1100_0^4 - 466637301/2827873444*c_1100_0^3 + 12396761815/11311493776*c_1100_0^2 - 925401564/706968361*c_1100_0 + 7424505709/11311493776, c_0011_0 - 1, c_0011_10 - 797/8180*c_1100_0^8 + 1663/8180*c_1100_0^7 - 913/2045*c_1100_0^6 - 233/2045*c_1100_0^5 - 69/4090*c_1100_0^4 - 5599/4090*c_1100_0^3 + 1859/1636*c_1100_0^2 - 30451/8180*c_1100_0 + 12419/4090, c_0011_3 - 1003/16360*c_1100_0^8 + 1371/8180*c_1100_0^7 - 5553/16360*c_1100_0^6 - 199/8180*c_1100_0^5 + 1309/8180*c_1100_0^4 - 1979/2045*c_1100_0^3 + 2515/3272*c_1100_0^2 - 6518/2045*c_1100_0 + 39307/16360, c_0011_4 - 1, c_0011_6 - 1709/32720*c_1100_0^8 + 1443/16360*c_1100_0^7 - 6489/32720*c_1100_0^6 - 2957/16360*c_1100_0^5 - 1513/16360*c_1100_0^4 - 5119/8180*c_1100_0^3 + 705/6544*c_1100_0^2 - 8959/4090*c_1100_0 + 32171/32720, c_0011_9 + 1519/20450*c_1100_0^8 - 7137/40900*c_1100_0^7 + 14693/40900*c_1100_0^6 + 1979/20450*c_1100_0^5 - 492/10225*c_1100_0^4 + 21781/20450*c_1100_0^3 - 282/409*c_1100_0^2 + 126339/40900*c_1100_0 - 61457/40900, c_0101_0 - 127/3272*c_1100_0^8 + 421/3272*c_1100_0^7 - 112/409*c_1100_0^6 + 111/1636*c_1100_0^5 + 121/818*c_1100_0^4 - 304/409*c_1100_0^3 + 1359/3272*c_1100_0^2 - 4763/3272*c_1100_0 + 1351/818, c_0101_1 + 155/6544*c_1100_0^8 + 3/818*c_1100_0^7 + 253/6544*c_1100_0^6 + 631/3272*c_1100_0^5 + 893/3272*c_1100_0^4 + 829/1636*c_1100_0^3 + 2309/6544*c_1100_0^2 + 2599/3272*c_1100_0 + 4673/6544, c_0101_10 + 1003/16360*c_1100_0^8 - 1371/8180*c_1100_0^7 + 5553/16360*c_1100_0^6 + 199/8180*c_1100_0^5 - 1309/8180*c_1100_0^4 + 1979/2045*c_1100_0^3 - 2515/3272*c_1100_0^2 + 4473/2045*c_1100_0 - 22947/16360, c_0101_3 - 46/2045*c_1100_0^8 + 637/16360*c_1100_0^7 - 1073/16360*c_1100_0^6 - 377/4090*c_1100_0^5 + 99/8180*c_1100_0^4 - 459/2045*c_1100_0^3 + 289/818*c_1100_0^2 - 11969/16360*c_1100_0 + 12287/16360, c_1100_0^9 - 3*c_1100_0^8 + 7*c_1100_0^7 - 3*c_1100_0^6 + 18*c_1100_0^4 - 21*c_1100_0^3 + 53*c_1100_0^2 - 51*c_1100_0 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB