Magma V2.19-8 Wed Aug 21 2013 00:52:25 on localhost [Seed = 2244186150] Type ? for help. Type -D to quit. Loading file "L12a1668__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1668 geometric_solution 12.36221152 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 1 0 2 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 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650585448846 0.829638960884 0 4 6 5 0132 0132 0132 0132 2 0 0 2 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 -3 0 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 0.214507677883 0.873687085123 7 0 4 0 0132 0132 1230 0213 1 2 0 2 0 0 0 0 0 0 0 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 -1 1 1 0 0 -1 -1 1 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650585448846 0.829638960884 7 8 8 0 2031 0132 0321 0132 1 0 0 2 0 0 0 0 0 0 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 1 0 -1 -1 0 1 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 0.861422803984 0.797015933660 9 1 9 2 0132 0132 3120 3012 2 1 2 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 3 0 -3 0 0 -1 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 0.650585448846 0.829638960884 9 10 1 10 3012 0132 0132 1230 2 0 1 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 3 -3 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 0.211749910641 1.217863094241 8 11 12 1 0321 0132 0132 0132 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175619831080 0.835666641023 2 9 3 12 0132 0132 1302 1230 0 2 2 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 1 0 4 0 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214507677883 0.873687085123 6 3 3 10 0321 0132 0321 3012 1 2 2 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 -1 0 1 0 0 -1 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 0.861422803984 0.797015933660 4 7 4 5 0132 0132 3120 1230 0 1 0 2 0 0 0 0 0 0 0 0 0 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 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 0.650585448846 0.829638960884 5 5 8 12 3012 0132 1230 3012 2 2 0 1 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 -3 -1 4 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 0.374549457075 0.578686849387 11 6 12 11 3012 0132 3012 1230 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.759154700092 1.146034485643 7 11 10 6 3012 1230 1230 0132 2 0 2 2 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598269396812 0.606460218367 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_12']), 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : negation(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' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_10'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_0011_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_3']), 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_9, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 6997805/13403*c_0110_10^9 + 6377061/4124*c_0110_10^8 - 4974015/2062*c_0110_10^7 - 261746749/26806*c_0110_10^6 + 209218951/53612*c_0110_10^5 + 6537755735/214448*c_0110_10^4 + 271162726/13403*c_0110_10^3 - 707974555/107224*c_0110_10^2 - 317419065/53612*c_0110_10 - 149879855/857792, c_0011_0 - 1, c_0011_10 + 2456/1031*c_0110_10^9 + 6024/1031*c_0110_10^8 - 10272/1031*c_0110_10^7 - 34888/1031*c_0110_10^6 + 11298/1031*c_0110_10^5 + 104906/1031*c_0110_10^4 + 104032/1031*c_0110_10^3 + 26718/1031*c_0110_10^2 - 9341/2062*c_0110_10 + 79/2062, c_0011_11 + 31584/13403*c_0110_10^9 + 58608/13403*c_0110_10^8 - 171376/13403*c_0110_10^7 - 342320/13403*c_0110_10^6 + 28408/1031*c_0110_10^5 + 1106890/13403*c_0110_10^4 + 646168/13403*c_0110_10^3 - 25785/13403*c_0110_10^2 - 64277/13403*c_0110_10 + 998/1031, c_0011_12 + 51536/13403*c_0110_10^9 + 9304/1031*c_0110_10^8 - 253104/13403*c_0110_10^7 - 714536/13403*c_0110_10^6 + 458964/13403*c_0110_10^5 + 2199242/13403*c_0110_10^4 + 1595442/13403*c_0110_10^3 + 79589/13403*c_0110_10^2 - 149541/13403*c_0110_10 + 2110/1031, c_0011_3 + 42800/13403*c_0110_10^9 + 8408/1031*c_0110_10^8 - 195436/13403*c_0110_10^7 - 640384/13403*c_0110_10^6 + 296360/13403*c_0110_10^5 + 1925020/13403*c_0110_10^4 + 1603216/13403*c_0110_10^3 + 245846/13403*c_0110_10^2 - 209057/26806*c_0110_10 + 3295/2062, c_0101_0 - 1, c_0101_10 - 60272/13403*c_0110_10^9 - 10200/1031*c_0110_10^8 + 310772/13403*c_0110_10^7 + 788688/13403*c_0110_10^6 - 621568/13403*c_0110_10^5 - 2473464/13403*c_0110_10^4 - 1587668/13403*c_0110_10^3 + 86668/13403*c_0110_10^2 + 415913/26806*c_0110_10 - 5145/2062, c_0101_11 - 63768/13403*c_0110_10^9 - 130388/13403*c_0110_10^8 + 330364/13403*c_0110_10^7 + 764554/13403*c_0110_10^6 - 50662/1031*c_0110_10^5 - 2415911/13403*c_0110_10^4 - 1613695/13403*c_0110_10^3 - 43462/13403*c_0110_10^2 + 172683/13403*c_0110_10 - 1559/1031, c_0101_12 - 20832/13403*c_0110_10^9 - 4040/1031*c_0110_10^8 + 104524/13403*c_0110_10^7 + 312916/13403*c_0110_10^6 - 202168/13403*c_0110_10^5 - 950842/13403*c_0110_10^4 - 633054/13403*c_0110_10^3 + 8803/13403*c_0110_10^2 + 161063/26806*c_0110_10 - 2523/2062, c_0101_3 - 103072/13403*c_0110_10^9 - 18608/1031*c_0110_10^8 + 506208/13403*c_0110_10^7 + 1429072/13403*c_0110_10^6 - 917928/13403*c_0110_10^5 - 4398484/13403*c_0110_10^4 - 3190884/13403*c_0110_10^3 - 159178/13403*c_0110_10^2 + 312485/13403*c_0110_10 - 4220/1031, c_0101_9 - 42800/13403*c_0110_10^9 - 8408/1031*c_0110_10^8 + 195436/13403*c_0110_10^7 + 640384/13403*c_0110_10^6 - 296360/13403*c_0110_10^5 - 1925020/13403*c_0110_10^4 - 1603216/13403*c_0110_10^3 - 245846/13403*c_0110_10^2 + 209057/26806*c_0110_10 - 1233/2062, c_0110_10^10 + 4*c_0110_10^9 - c_0110_10^8 - 22*c_0110_10^7 - 57/4*c_0110_10^6 + 115/2*c_0110_10^5 + 409/4*c_0110_10^4 + 211/4*c_0110_10^3 - 23/16*c_0110_10^2 - 41/8*c_0110_10 + 13/16, c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB