Magma V2.19-8 Tue Aug 20 2013 23:56:54 on localhost [Seed = 998069188] Type ? for help. Type -D to quit. Loading file "L14n24919__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24919 geometric_solution 11.98502465 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.588990372478 0.629135149467 0 5 6 2 0132 0132 0132 0132 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 1 -1 0 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 0 0 0.489199807261 0.657533521885 5 0 1 7 3201 0132 0132 0132 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 -1 1 0 1 0 0 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489199807261 0.657533521885 8 9 8 0 0132 0132 3012 0132 0 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 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 0.541255155211 0.833344886368 10 11 0 11 0132 0132 0132 1230 0 0 1 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 -3 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 0.541255155211 0.833344886368 8 1 11 2 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 2 -2 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928619653483 0.837229712752 9 7 9 1 3012 3012 1302 0132 0 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 0 0 0 0 0 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 0.495903514191 0.987044756010 6 10 2 10 1230 1230 0132 2031 0 0 1 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 1 -1 1 7 0 -8 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495903514191 0.987044756010 3 3 5 11 0132 1230 3201 0132 0 0 1 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 -1 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 0.506950497797 0.920914119864 6 3 10 6 2031 0132 1230 1230 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 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 0.593580888884 0.808935288599 4 7 7 9 0132 1302 3012 3012 0 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593580888884 0.808935288599 4 4 8 5 3012 0132 0132 0132 0 0 0 1 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 -2 2 0 3 0 -1 -2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506950497797 0.920914119864 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : 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_10'], 's_2_0' : 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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_1001_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), '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_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_0'], '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_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0011_0'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_7, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 39890900772011/140620811498496*c_1001_2^8 - 10183024069393/6696229118976*c_1001_2^7 + 60384143462017/20088687356928*c_1001_2^6 + 43753407006211/40177374713856*c_1001_2^5 - 87364037494283/31249069221888*c_1001_2^4 - 265600183073063/62498138443776*c_1001_2^3 + 9244104154169/2197200179664*c_1001_2^2 + 1589220646469977/562483245993984*c_1001_2 - 272914105894091/281241622996992, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - 1, c_0011_6 - 459204/1582979*c_1001_2^8 + 2857668/1582979*c_1001_2^7 - 7055288/1582979*c_1001_2^6 + 3126246/1582979*c_1001_2^5 + 3662090/1582979*c_1001_2^4 + 5776867/1582979*c_1001_2^3 - 10113584/1582979*c_1001_2^2 + 626634/1582979*c_1001_2 - 892885/1582979, c_0101_0 + c_1001_2, c_0101_1 + 3822258/26910643*c_1001_2^8 - 20140280/26910643*c_1001_2^7 + 39950390/26910643*c_1001_2^6 + 9782713/26910643*c_1001_2^5 - 14069718/26910643*c_1001_2^4 - 144101017/53821286*c_1001_2^3 + 58042137/53821286*c_1001_2^2 + 31411417/26910643*c_1001_2 + 9688231/26910643, c_0101_11 + 15435909/53821286*c_1001_2^8 - 84130311/53821286*c_1001_2^7 + 176798105/53821286*c_1001_2^6 + 15166963/107642572*c_1001_2^5 - 135095609/107642572*c_1001_2^4 - 1014023201/215285144*c_1001_2^3 + 193712015/53821286*c_1001_2^2 - 21735109/215285144*c_1001_2 + 109832683/107642572, c_0101_5 + 1749209/26910643*c_1001_2^8 - 8572757/26910643*c_1001_2^7 + 13091777/26910643*c_1001_2^6 + 38016731/53821286*c_1001_2^5 - 35856239/53821286*c_1001_2^4 - 170399901/107642572*c_1001_2^3 - 29529649/53821286*c_1001_2^2 + 56034757/107642572*c_1001_2 + 36394043/53821286, c_0101_7 + 5518288/26910643*c_1001_2^8 - 30840356/26910643*c_1001_2^7 + 68131448/26910643*c_1001_2^6 - 11827492/26910643*c_1001_2^5 - 10171170/26910643*c_1001_2^4 - 87453902/26910643*c_1001_2^3 + 46956657/26910643*c_1001_2^2 - 13581260/26910643*c_1001_2 + 78796279/26910643, c_0101_9 - 5062640/26910643*c_1001_2^8 + 22685806/26910643*c_1001_2^7 - 30647132/26910643*c_1001_2^6 - 59824026/26910643*c_1001_2^5 + 12390811/26910643*c_1001_2^4 + 136519696/26910643*c_1001_2^3 + 15712689/53821286*c_1001_2^2 - 172298747/53821286*c_1001_2 - 42032457/26910643, c_1001_0 - 3822258/26910643*c_1001_2^8 + 20140280/26910643*c_1001_2^7 - 39950390/26910643*c_1001_2^6 - 9782713/26910643*c_1001_2^5 + 14069718/26910643*c_1001_2^4 + 144101017/53821286*c_1001_2^3 - 58042137/53821286*c_1001_2^2 - 31411417/26910643*c_1001_2 - 9688231/26910643, c_1001_2^9 - 6*c_1001_2^8 + 14*c_1001_2^7 - 7/2*c_1001_2^6 - 9*c_1001_2^5 - 63/4*c_1001_2^4 + 91/4*c_1001_2^3 + 11/4*c_1001_2^2 + 1/4*c_1001_2 - 9/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB