Magma V2.19-8 Tue Aug 20 2013 17:58:34 on localhost [Seed = 3414851424] Type ? for help. Type -D to quit. Loading file "10^2_158__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_158 geometric_solution 13.15588565 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 2 3 0132 0132 1302 0132 0 0 0 1 0 0 0 0 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 -1 1 0 0 0 0 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708826798625 1.191012003068 0 4 5 4 0132 0132 0132 1230 0 0 1 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 0 0 0 0 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193690455889 0.792269538386 0 0 7 6 2031 0132 0132 0132 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 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 0.631000996622 0.620013581591 5 8 0 9 0321 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 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625192333092 0.446457602830 1 1 10 11 3012 0132 0132 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 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 0.631000996622 0.620013581591 3 12 13 1 0321 0132 0132 0132 0 0 0 0 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 -1 1 1 0 -1 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 -0.059307168596 0.756464393625 7 7 2 9 2103 1023 0132 0213 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 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 0.851013494645 1.326349818007 6 8 6 2 1023 0321 2103 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 0.657323038756 0.534080279621 13 3 13 7 0321 0132 2310 0321 0 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 0 0 0 0 0 -1 1 0 -3 0 2 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551503759869 0.656931723447 12 12 3 6 0213 2310 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.940692831404 0.756464393625 11 11 12 4 1023 0321 1023 0132 0 0 1 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 1 -1 0 0 0 0 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851013494645 1.326349818007 13 10 4 10 2031 1023 0132 0321 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 0 0 0 0 0 0 0 0 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657323038756 0.534080279621 9 5 10 9 0213 0132 1023 3201 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 0 0 1 0 -1 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 0.103007519738 1.313863446893 8 8 11 5 0321 3201 1302 0132 0 0 0 1 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 -1 0 1 1 0 -2 1 1 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708851669298 1.038285513038 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_9'], 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0011_13'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_13' : d['c_1001_5'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0101_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0101_11'], '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_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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_0110_12']), 'c_1100_6' : negation(d['c_0110_12']), 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0110_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_0011_9'], 'c_1100_13' : d['c_0101_11'], 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_13'], 's_3_1' : d['1'], 'c_0101_13' : negation(d['c_0011_10']), '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_9']), '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_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_13'], 'c_0011_6' : d['c_0011_13'], '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_10']), 'c_0110_10' : d['c_0101_4'], 'c_0110_13' : d['c_0011_3'], 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : negation(d['c_0011_3']), 's_3_12' : d['1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_12']), 'c_0110_8' : negation(d['c_0011_13']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0011_12'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_12'], '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_12, c_0011_13, c_0011_3, c_0011_9, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_6, c_0110_12, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 3/40*c_0101_6 - 1/40, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + c_0101_6 - 3, c_0011_13 + 1, c_0011_3 + 1, c_0011_9 + 1, c_0101_10 - c_0101_6 + 1, c_0101_11 + 1, c_0101_2 + c_0101_6 - 1, c_0101_4 - c_0101_6, c_0101_6^2 + 1, c_0110_12 - 1, c_1001_2 - 1, c_1001_5 + 2 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_3, c_0011_9, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_6, c_0110_12, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1011477888/1137941*c_1001_5^7 - 8052297024/1137941*c_1001_5^6 - 17879679200/1137941*c_1001_5^5 - 2350740544/162563*c_1001_5^4 - 8097313064/1137941*c_1001_5^3 + 115035664/1137941*c_1001_5^2 - 2969168/162563*c_1001_5 - 1615141932/1137941, c_0011_0 - 1, c_0011_10 - 21292/162563*c_1001_2*c_1001_5^7 - 274656/162563*c_1001_2*c_1001_5^6 - 1181052/162563*c_1001_2*c_1001_5^5 - 1935954/162563*c_1001_2*c_1001_5^4 - 1234854/162563*c_1001_2*c_1001_5^3 - 279852/162563*c_1001_2*c_1001_5^2 - 43768/162563*c_1001_2*c_1001_5 - 193388/162563*c_1001_2 + 126580/162563*c_1001_5^7 + 1087256/162563*c_1001_5^6 + 2776218/162563*c_1001_5^5 + 2760688/162563*c_1001_5^4 + 1007334/162563*c_1001_5^3 - 119324/162563*c_1001_5^2 - 66332/162563*c_1001_5 + 224940/162563, c_0011_12 + 75480/162563*c_1001_5^7 + 629532/162563*c_1001_5^6 + 1555396/162563*c_1001_5^5 + 1693056/162563*c_1001_5^4 + 1006146/162563*c_1001_5^3 + 69346/162563*c_1001_5^2 + 58102/162563*c_1001_5 + 84354/162563, c_0011_13 - 21292/162563*c_1001_2*c_1001_5^7 - 274656/162563*c_1001_2*c_1001_5^6 - 1181052/162563*c_1001_2*c_1001_5^5 - 1935954/162563*c_1001_2*c_1001_5^4 - 1234854/162563*c_1001_2*c_1001_5^3 - 279852/162563*c_1001_2*c_1001_5^2 - 43768/162563*c_1001_2*c_1001_5 - 193388/162563*c_1001_2 + 104320/162563*c_1001_5^7 + 902116/162563*c_1001_5^6 + 2371786/162563*c_1001_5^5 + 2627862/162563*c_1001_5^4 + 1333724/162563*c_1001_5^3 + 323620/162563*c_1001_5^2 + 205218/162563*c_1001_5 + 156127/162563, c_0011_3 + 1, c_0011_9 + 174932/162563*c_1001_2*c_1001_5^7 + 1430984/162563*c_1001_2*c_1001_5^6 + 3350844/162563*c_1001_2*c_1001_5^5 + 3178146/162563*c_1001_2*c_1001_5^4 + 1396726/162563*c_1001_2*c_1001_5^3 - 93992/162563*c_1001_2*c_1001_5^2 - 14398/162563*c_1001_2*c_1001_5 + 268432/162563*c_1001_2 - 73760/162563*c_1001_5^7 - 579004/162563*c_1001_5^6 - 1188796/162563*c_1001_5^5 - 710628/162563*c_1001_5^4 + 43332/162563*c_1001_5^3 + 290786/162563*c_1001_5^2 + 101736/162563*c_1001_5 - 69251/162563, c_0101_10 + 75480/162563*c_1001_2*c_1001_5^7 + 629532/162563*c_1001_2*c_1001_5^6 + 1555396/162563*c_1001_2*c_1001_5^5 + 1693056/162563*c_1001_2*c_1001_5^4 + 1006146/162563*c_1001_2*c_1001_5^3 + 69346/162563*c_1001_2*c_1001_5^2 + 58102/162563*c_1001_2*c_1001_5 + 84354/162563*c_1001_2 + 3060/162563*c_1001_5^7 - 840/162563*c_1001_5^6 - 103900/162563*c_1001_5^5 - 89532/162563*c_1001_5^4 + 124268/162563*c_1001_5^3 + 103864/162563*c_1001_5^2 + 72653/162563*c_1001_5 + 130834/162563, c_0101_11 - c_1001_2 + 101172/162563*c_1001_5^7 + 851980/162563*c_1001_5^6 + 2162048/162563*c_1001_5^5 + 2467518/162563*c_1001_5^4 + 1440058/162563*c_1001_5^3 + 196794/162563*c_1001_5^2 + 87338/162563*c_1001_5 + 361744/162563, c_0101_2 + 75480/162563*c_1001_2*c_1001_5^7 + 629532/162563*c_1001_2*c_1001_5^6 + 1555396/162563*c_1001_2*c_1001_5^5 + 1693056/162563*c_1001_2*c_1001_5^4 + 1006146/162563*c_1001_2*c_1001_5^3 + 69346/162563*c_1001_2*c_1001_5^2 + 58102/162563*c_1001_2*c_1001_5 + 84354/162563*c_1001_2 - c_1001_5, c_0101_4 + 75480/162563*c_1001_2*c_1001_5^7 + 629532/162563*c_1001_2*c_1001_5^6 + 1555396/162563*c_1001_2*c_1001_5^5 + 1693056/162563*c_1001_2*c_1001_5^4 + 1006146/162563*c_1001_2*c_1001_5^3 + 69346/162563*c_1001_2*c_1001_5^2 + 58102/162563*c_1001_2*c_1001_5 + 246917/162563*c_1001_2 - 98112/162563*c_1001_5^7 - 852820/162563*c_1001_5^6 - 2265948/162563*c_1001_5^5 - 2557050/162563*c_1001_5^4 - 1315790/162563*c_1001_5^3 - 92930/162563*c_1001_5^2 - 14685/162563*c_1001_5 - 230910/162563, c_0101_6 - 75480/162563*c_1001_2*c_1001_5^7 - 629532/162563*c_1001_2*c_1001_5^6 - 1555396/162563*c_1001_2*c_1001_5^5 - 1693056/162563*c_1001_2*c_1001_5^4 - 1006146/162563*c_1001_2*c_1001_5^3 - 69346/162563*c_1001_2*c_1001_5^2 - 58102/162563*c_1001_2*c_1001_5 - 246917/162563*c_1001_2 + c_1001_5, c_0110_12 + 174932/162563*c_1001_2*c_1001_5^7 + 1430984/162563*c_1001_2*c_1001_5^6 + 3350844/162563*c_1001_2*c_1001_5^5 + 3178146/162563*c_1001_2*c_1001_5^4 + 1396726/162563*c_1001_2*c_1001_5^3 - 93992/162563*c_1001_2*c_1001_5^2 - 14398/162563*c_1001_2*c_1001_5 + 268432/162563*c_1001_2 - 51500/162563*c_1001_5^7 - 393864/162563*c_1001_5^6 - 784364/162563*c_1001_5^5 - 577802/162563*c_1001_5^4 - 283058/162563*c_1001_5^3 - 152158/162563*c_1001_5^2 - 169814/162563*c_1001_5 - 438/162563, c_1001_2^2 - 101172/162563*c_1001_2*c_1001_5^7 - 851980/162563*c_1001_2*c_1001_5^6 - 2162048/162563*c_1001_2*c_1001_5^5 - 2467518/162563*c_1001_2*c_1001_5^4 - 1440058/162563*c_1001_2*c_1001_5^3 - 196794/162563*c_1001_2*c_1001_5^2 - 87338/162563*c_1001_2*c_1001_5 - 361744/162563*c_1001_2 + c_1001_5^2 + 2*c_1001_5 + 1, c_1001_5^8 + 9*c_1001_5^7 + 26*c_1001_5^6 + 35*c_1001_5^5 + 51/2*c_1001_5^4 + 17/2*c_1001_5^3 + 3/2*c_1001_5 + 7/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.670 seconds, Total memory usage: 32.09MB