Magma V2.19-8 Tue Aug 20 2013 17:58:01 on localhost [Seed = 2210543560] Type ? for help. Type -D to quit. Loading file "10^2_10__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_10 geometric_solution 12.40477830 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 -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 -1 1 0 0 0 -4 4 0 4 0 -4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960030310259 1.183500477931 0 4 5 4 0132 0132 0132 1230 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 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 0 0 0 0.256280496410 0.984227066395 0 0 7 6 2031 0132 0132 0132 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 1 -1 0 -1 0 1 0 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586609285511 0.509617355766 8 9 0 10 0132 0132 0132 0132 0 0 1 0 0 0 0 0 1 0 -1 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 4 0 -4 0 0 -1 0 1 1 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548113320639 0.961504035128 1 1 11 9 3012 0132 0132 3120 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 -1 0 1 1 0 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 0.488703468707 0.646742728974 10 11 7 1 3120 0132 3201 0132 1 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388264916164 1.571765394095 12 12 2 10 0132 1302 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 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 0.488703468707 0.646742728974 5 9 11 2 2310 0321 3201 0132 0 0 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 0 0 0 0 0 -1 1 0 0 1 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400363294232 0.851874906924 3 11 12 10 0132 1230 0213 3120 1 0 0 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 0 0 0 -4 0 -1 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 4 3 12 7 3120 0132 1023 0321 0 1 0 1 0 0 0 0 -1 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 1 0 -1 0 0 5 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820554922846 0.632130830022 8 6 3 5 3120 1302 0132 3120 0 0 0 1 0 0 0 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 0 0 0 -5 0 0 5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215046345141 0.552530682562 7 5 8 4 2310 0132 3012 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 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 -0.000000000000 1.000000000000 6 8 9 6 0132 0213 1023 2031 1 0 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 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 0.752238201156 0.951511612692 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0011_11'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : 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' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_12'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : negation(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'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : 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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_4'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_12'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_12']})} 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_0011_7, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0101_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 773/3392*c_1001_2^5 - 2433/1696*c_1001_2^4 + 1677/424*c_1001_2^3 - 5747/848*c_1001_2^2 + 9553/1696*c_1001_2 + 123/212, c_0011_0 - 1, c_0011_10 - 23/212*c_1001_2^5 + 51/106*c_1001_2^4 - 59/53*c_1001_2^3 + 94/53*c_1001_2^2 - 143/106*c_1001_2 + 47/53, c_0011_11 - 1/53*c_1001_2^5 + 25/106*c_1001_2^4 - 31/53*c_1001_2^3 + 44/53*c_1001_2^2 - 47/53*c_1001_2 - 31/53, c_0011_12 - 7/212*c_1001_2^5 + 2/53*c_1001_2^4 + 12/53*c_1001_2^3 - 29/53*c_1001_2^2 + 127/106*c_1001_2 + 12/53, c_0011_3 - 1, c_0011_7 + 23/212*c_1001_2^5 - 51/106*c_1001_2^4 + 59/53*c_1001_2^3 - 94/53*c_1001_2^2 + 37/106*c_1001_2 - 47/53, c_0101_1 - 1/53*c_1001_2^5 + 25/106*c_1001_2^4 - 31/53*c_1001_2^3 + 44/53*c_1001_2^2 - 47/53*c_1001_2 - 31/53, c_0101_12 - 9/53*c_1001_2^5 + 33/53*c_1001_2^4 - 67/53*c_1001_2^3 + 78/53*c_1001_2^2 + 1/53*c_1001_2 + 39/53, c_0101_2 + 1/53*c_1001_2^5 - 25/106*c_1001_2^4 + 31/53*c_1001_2^3 - 44/53*c_1001_2^2 - 6/53*c_1001_2 + 31/53, c_0101_4 + 19/212*c_1001_2^5 - 13/53*c_1001_2^4 + 28/53*c_1001_2^3 - 50/53*c_1001_2^2 + 49/106*c_1001_2 - 78/53, c_0101_6 + 1, c_0101_9 + 9/53*c_1001_2^5 - 33/53*c_1001_2^4 + 67/53*c_1001_2^3 - 78/53*c_1001_2^2 - 1/53*c_1001_2 + 14/53, c_1001_2^6 - 6*c_1001_2^5 + 16*c_1001_2^4 - 28*c_1001_2^3 + 26*c_1001_2^2 - 8*c_1001_2 + 16 ], 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_0011_7, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0101_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 54631/3720*c_1001_2^7 - 60347/1240*c_1001_2^6 - 6601009/37200*c_1001_2^5 - 256123/930*c_1001_2^4 - 1926637/4650*c_1001_2^3 - 1250437/4650*c_1001_2^2 - 1641997/9300*c_1001_2 - 46808/775, c_0011_0 - 1, c_0011_10 - 895/1488*c_1001_2^7 - 225/124*c_1001_2^6 - 1151/186*c_1001_2^5 - 3103/372*c_1001_2^4 - 3923/372*c_1001_2^3 - 865/186*c_1001_2^2 - 172/93*c_1001_2 - 18/31, c_0011_11 - 395/744*c_1001_2^7 - 405/248*c_1001_2^6 - 4373/744*c_1001_2^5 - 3019/372*c_1001_2^4 - 2173/186*c_1001_2^3 - 949/186*c_1001_2^2 - 539/186*c_1001_2 - 41/31, c_0011_12 - 385/744*c_1001_2^7 - 325/186*c_1001_2^6 - 4639/744*c_1001_2^5 - 1889/186*c_1001_2^4 - 470/31*c_1001_2^3 - 1118/93*c_1001_2^2 - 505/62*c_1001_2 - 269/93, c_0011_3 - 1, c_0011_7 - 175/372*c_1001_2^7 - 455/248*c_1001_2^6 - 5105/744*c_1001_2^5 - 1132/93*c_1001_2^4 - 1775/93*c_1001_2^3 - 1301/93*c_1001_2^2 - 1583/186*c_1001_2 - 105/31, c_0101_1 + 395/744*c_1001_2^7 + 405/248*c_1001_2^6 + 4373/744*c_1001_2^5 + 3019/372*c_1001_2^4 + 2173/186*c_1001_2^3 + 949/186*c_1001_2^2 + 725/186*c_1001_2 + 41/31, c_0101_12 - 115/744*c_1001_2^7 - 85/186*c_1001_2^6 - 563/372*c_1001_2^5 - 835/372*c_1001_2^4 - 80/31*c_1001_2^3 - 343/186*c_1001_2^2 + 21/31*c_1001_2 + 67/93, c_0101_2 - 805/1488*c_1001_2^7 - 125/62*c_1001_2^6 - 667/93*c_1001_2^5 - 1153/93*c_1001_2^4 - 6677/372*c_1001_2^3 - 1259/93*c_1001_2^2 - 694/93*c_1001_2 - 82/31, c_0101_4 - 25/186*c_1001_2^7 - 65/124*c_1001_2^6 - 1525/744*c_1001_2^5 - 1493/372*c_1001_2^4 - 1187/186*c_1001_2^3 - 571/93*c_1001_2^2 - 439/186*c_1001_2 - 30/31, c_0101_6 - 65/186*c_1001_2^7 - 445/372*c_1001_2^6 - 1657/372*c_1001_2^5 - 2741/372*c_1001_2^4 - 727/62*c_1001_2^3 - 1661/186*c_1001_2^2 - 214/31*c_1001_2 - 265/93, c_0101_9 - 25/496*c_1001_2^7 + 145/248*c_1001_2^6 + 255/248*c_1001_2^5 + 569/124*c_1001_2^4 + 393/124*c_1001_2^3 + 237/62*c_1001_2^2 + 11/62*c_1001_2 - 19/31, c_1001_2^8 + 4*c_1001_2^7 + 72/5*c_1001_2^6 + 136/5*c_1001_2^5 + 208/5*c_1001_2^4 + 192/5*c_1001_2^3 + 128/5*c_1001_2^2 + 64/5*c_1001_2 + 16/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB