Magma V2.19-8 Tue Aug 20 2013 17:59:22 on localhost [Seed = 3953811318] Type ? for help. Type -D to quit. Loading file "10^2_62__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_62 geometric_solution 12.40477830 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 0 0 1 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 0 3 -4 1 0 0 0 0 1 0 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627508017441 0.315484897685 0 5 6 3 0132 0132 0132 0321 0 0 0 1 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 0 -4 4 0 0 0 0 0 -3 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942992915126 2.687976880243 6 0 7 5 1302 0132 0132 0132 0 1 0 1 0 -1 0 1 -1 0 1 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 -3 0 3 -5 0 5 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559729938086 0.431680500744 8 1 9 0 0132 0321 0132 0132 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 -4 0 4 -1 0 1 0 -1 -3 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747761798844 0.451511612692 10 11 0 8 0132 0132 0132 2103 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 -1 1 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 0.851784096061 0.383887266260 12 1 2 12 0132 0132 0132 2031 0 1 1 0 0 0 -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 -3 3 0 0 0 0 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247761798844 0.951511612692 10 2 13 1 3120 2031 0132 0132 0 0 1 1 0 -1 0 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.215046345141 0.552530682562 12 11 11 2 2103 0321 3201 0132 0 1 1 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 0 0 0 0 0 0 0 4 0 1 -5 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660223471144 0.819527192939 3 9 9 4 0132 2031 0321 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747761798844 1.451511612692 8 13 8 3 1302 0213 0321 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 0 0 0 0 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 0.116211486149 0.668742168710 4 12 13 6 0132 1302 2310 3120 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 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 7 4 13 7 2310 0132 3201 0321 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 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 0 0 0 0 0.660223471144 0.819527192939 5 5 7 10 0132 1302 2103 2031 1 1 0 1 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 0 0 0 0 0 -4 4 3 -3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743719503590 0.984227066395 11 10 9 6 2310 3201 0213 0132 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 -1 -4 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668742168710 0.883788513851 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0101_5'], 'c_1001_13' : negation(d['c_0101_10']), 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_13']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_13' : negation(d['c_0101_5']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_7'], 'c_0101_11' : d['c_0011_13'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_13']), 'c_1100_10' : d['c_0011_13'], 'c_1100_13' : d['c_1001_3'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_9'], 's_3_1' : negation(d['1']), 'c_0101_13' : d['c_0011_9'], '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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_6'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_9'], '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' : d['c_0011_7'], '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' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : negation(d['c_0011_13']), 'c_0110_12' : d['c_0101_5'], 's_0_13' : d['1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : negation(d['c_0011_13']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_13, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 525/2992*c_1001_3^5 + 1239/1496*c_1001_3^4 - 7411/2992*c_1001_3^3 + 13533/1496*c_1001_3^2 - 1173/44*c_1001_3 + 6755/374, c_0011_0 - 1, c_0011_10 + 5/22*c_1001_3^5 - 8/11*c_1001_3^4 + 25/11*c_1001_3^3 - 109/22*c_1001_3^2 + 41/11*c_1001_3 - 3/11, c_0011_13 + 3/44*c_1001_3^5 - 7/22*c_1001_3^4 + 41/44*c_1001_3^3 - 29/11*c_1001_3^2 + 31/11*c_1001_3 - 13/11, c_0011_3 + 1, c_0011_6 - 3/22*c_1001_3^5 + 7/11*c_1001_3^4 - 41/22*c_1001_3^3 + 105/22*c_1001_3^2 - 62/11*c_1001_3 + 26/11, c_0011_7 - 15/44*c_1001_3^5 + 12/11*c_1001_3^4 - 161/44*c_1001_3^3 + 90/11*c_1001_3^2 - 89/11*c_1001_3 + 32/11, c_0011_9 - 9/22*c_1001_3^5 + 10/11*c_1001_3^4 - 79/22*c_1001_3^3 + 75/11*c_1001_3^2 - 54/11*c_1001_3 + 23/11, c_0101_1 - 5/22*c_1001_3^5 + 8/11*c_1001_3^4 - 25/11*c_1001_3^3 + 109/22*c_1001_3^2 - 41/11*c_1001_3 + 3/11, c_0101_10 + 3/11*c_1001_3^5 - 17/22*c_1001_3^4 + 30/11*c_1001_3^3 - 133/22*c_1001_3^2 + 58/11*c_1001_3 - 19/11, c_0101_3 + 19/44*c_1001_3^5 - 13/11*c_1001_3^4 + 179/44*c_1001_3^3 - 92/11*c_1001_3^2 + 68/11*c_1001_3 - 20/11, c_0101_5 - 9/44*c_1001_3^5 + 5/11*c_1001_3^4 - 79/44*c_1001_3^3 + 75/22*c_1001_3^2 - 27/11*c_1001_3 + 17/11, c_1001_0 + 3/22*c_1001_3^5 - 3/22*c_1001_3^4 + 19/22*c_1001_3^3 - 17/22*c_1001_3^2 - 4/11*c_1001_3 + 7/11, c_1001_2 - 19/44*c_1001_3^5 + 13/11*c_1001_3^4 - 179/44*c_1001_3^3 + 92/11*c_1001_3^2 - 57/11*c_1001_3 + 9/11, c_1001_3^6 - 4*c_1001_3^5 + 13*c_1001_3^4 - 32*c_1001_3^3 + 40*c_1001_3^2 - 24*c_1001_3 + 8 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_13, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 29803/2675375*c_1001_3^7 + 56259/535075*c_1001_3^6 - 76952/157375*c_1001_3^5 + 776691/535075*c_1001_3^4 - 7976969/2675375*c_1001_3^3 + 10962567/2675375*c_1001_3^2 - 9456776/2675375*c_1001_3 + 1087037/535075, c_0011_0 - 1, c_0011_10 - 5401/214030*c_1001_3^7 + 6017/42806*c_1001_3^6 - 62773/214030*c_1001_3^5 + 5199/42806*c_1001_3^4 + 279047/214030*c_1001_3^3 - 909951/214030*c_1001_3^2 + 950773/214030*c_1001_3 - 108761/42806, c_0011_13 - 5453/214030*c_1001_3^7 + 9475/42806*c_1001_3^6 - 183529/214030*c_1001_3^5 + 90441/42806*c_1001_3^4 - 746609/214030*c_1001_3^3 + 711657/214030*c_1001_3^2 - 453321/214030*c_1001_3 + 74073/42806, c_0011_3 + 1, c_0011_6 + 1983/107015*c_1001_3^7 - 6903/42806*c_1001_3^6 + 69194/107015*c_1001_3^5 - 77149/42806*c_1001_3^4 + 381799/107015*c_1001_3^3 - 1014909/214030*c_1001_3^2 + 535116/107015*c_1001_3 - 154491/42806, c_0011_7 - 2847/214030*c_1001_3^7 + 3700/21403*c_1001_3^6 - 190491/214030*c_1001_3^5 + 59431/21403*c_1001_3^4 - 1255971/214030*c_1001_3^3 + 836414/107015*c_1001_3^2 - 1268049/214030*c_1001_3 + 55637/21403, c_0011_9 + 15369/107015*c_1001_3^7 - 26799/21403*c_1001_3^6 + 556517/107015*c_1001_3^5 - 303063/21403*c_1001_3^4 + 2798807/107015*c_1001_3^3 - 3201911/107015*c_1001_3^2 + 2279203/107015*c_1001_3 - 178992/21403, c_0101_1 + 1419/42806*c_1001_3^7 - 11653/42806*c_1001_3^6 + 48575/42806*c_1001_3^5 - 136381/42806*c_1001_3^4 + 261811/42806*c_1001_3^3 - 347049/42806*c_1001_3^2 + 316185/42806*c_1001_3 - 149271/42806, c_0101_10 - 9069/107015*c_1001_3^7 + 14506/21403*c_1001_3^6 - 282937/107015*c_1001_3^5 + 147031/21403*c_1001_3^4 - 1258147/107015*c_1001_3^3 + 1274671/107015*c_1001_3^2 - 774063/107015*c_1001_3 + 40112/21403, c_0101_3 - 11232/107015*c_1001_3^7 + 19226/21403*c_1001_3^6 - 399696/107015*c_1001_3^5 + 219722/21403*c_1001_3^4 - 2053931/107015*c_1001_3^3 + 2468578/107015*c_1001_3^2 - 1930064/107015*c_1001_3 + 153430/21403, c_0101_5 - 19643/214030*c_1001_3^7 + 32781/42806*c_1001_3^6 - 669279/214030*c_1001_3^5 + 363203/42806*c_1001_3^4 - 3364719/214030*c_1001_3^3 + 3968117/214030*c_1001_3^2 - 3187111/214030*c_1001_3 + 287003/42806, c_1001_0 - 1260/21403*c_1001_3^7 + 12293/21403*c_1001_3^6 - 54716/21403*c_1001_3^5 + 156032/21403*c_1001_3^4 - 308132/21403*c_1001_3^3 + 385448/21403*c_1001_3^2 - 301028/21403*c_1001_3 + 160283/21403, c_1001_2 + 11232/107015*c_1001_3^7 - 19226/21403*c_1001_3^6 + 399696/107015*c_1001_3^5 - 219722/21403*c_1001_3^4 + 2053931/107015*c_1001_3^3 - 2468578/107015*c_1001_3^2 + 2037079/107015*c_1001_3 - 174833/21403, c_1001_3^8 - 10*c_1001_3^7 + 48*c_1001_3^6 - 150*c_1001_3^5 + 328*c_1001_3^4 - 494*c_1001_3^3 + 512*c_1001_3^2 - 350*c_1001_3 + 125 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.440 Total time: 0.650 seconds, Total memory usage: 32.09MB