Magma V2.19-8 Tue Aug 20 2013 23:29:36 on localhost [Seed = 2665019599] Type ? for help. Type -D to quit. Loading file "K14n6023__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6023 geometric_solution 7.08492595 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 8 1 2 1 3 0132 0132 2031 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 1 -17 0 16 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872877429097 1.269383059538 0 4 5 0 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.632201397663 0.534871563367 3 0 6 5 0213 0132 0132 1302 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 0 0 0 0 0 0 -1 0 1 -16 17 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606777100592 0.764960962875 2 5 0 7 0213 2103 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 -1 0 1 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.048163552474 0.672988768166 5 1 7 6 0321 0132 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575028162208 0.846595864706 4 3 2 1 0321 2103 2031 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 -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 1.361166954792 1.521166263425 7 4 7 2 0132 2310 0213 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 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 -0.615688202559 1.786250911324 6 6 3 4 0132 0213 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.048163552474 0.672988768166 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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_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_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_1001_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_1001_1']), 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_3'], 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_1001_1']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_4, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1960689565/941064813*c_1001_4^8 - 124910414/49529727*c_1001_4^7 - 10848999604/941064813*c_1001_4^6 + 17327685859/941064813*c_1001_4^5 + 4388839103/104562757*c_1001_4^4 - 148523130037/941064813*c_1001_4^3 + 76690424807/313688271*c_1001_4^2 - 150324019103/941064813*c_1001_4 + 6439082266/941064813, c_0011_0 - 1, c_0011_3 + 1016164/49529727*c_1001_4^8 + 1124479/49529727*c_1001_4^7 - 5080909/49529727*c_1001_4^6 - 6104612/49529727*c_1001_4^5 + 2234347/5503303*c_1001_4^4 - 17246494/49529727*c_1001_4^3 + 7032017/16509909*c_1001_4^2 + 1029994/49529727*c_1001_4 + 27469207/49529727, c_0011_5 + 2051566/49529727*c_1001_4^8 + 1144732/49529727*c_1001_4^7 - 10510720/49529727*c_1001_4^6 - 1891763/49529727*c_1001_4^5 + 14521588/16509909*c_1001_4^4 - 73574284/49529727*c_1001_4^3 + 27830794/16509909*c_1001_4^2 - 11334338/49529727*c_1001_4 + 42794902/49529727, c_0011_6 - 28729/49529727*c_1001_4^8 - 106870/49529727*c_1001_4^7 + 1097737/49529727*c_1001_4^6 + 3291614/49529727*c_1001_4^5 - 1247039/16509909*c_1001_4^4 - 10657364/49529727*c_1001_4^3 - 758536/5503303*c_1001_4^2 - 12869839/49529727*c_1001_4 - 7132435/49529727, c_0101_0 + 157297/49529727*c_1001_4^8 - 1270499/49529727*c_1001_4^7 - 2011723/49529727*c_1001_4^6 + 5346442/49529727*c_1001_4^5 + 492194/5503303*c_1001_4^4 - 32213380/49529727*c_1001_4^3 + 15400415/16509909*c_1001_4^2 - 74906054/49529727*c_1001_4 + 18642982/49529727, c_0101_4 - 1003783/49529727*c_1001_4^8 - 254335/49529727*c_1001_4^7 + 4918156/49529727*c_1001_4^6 - 2056627/49529727*c_1001_4^5 - 2766274/5503303*c_1001_4^4 + 41305423/49529727*c_1001_4^3 - 17440283/16509909*c_1001_4^2 - 13172203/49529727*c_1001_4 - 25609144/49529727, c_1001_1 - 2051566/49529727*c_1001_4^8 - 1144732/49529727*c_1001_4^7 + 10510720/49529727*c_1001_4^6 + 1891763/49529727*c_1001_4^5 - 14521588/16509909*c_1001_4^4 + 73574284/49529727*c_1001_4^3 - 27830794/16509909*c_1001_4^2 + 11334338/49529727*c_1001_4 - 42794902/49529727, c_1001_4^9 - 5*c_1001_4^7 + 2*c_1001_4^6 + 20*c_1001_4^5 - 46*c_1001_4^4 + 70*c_1001_4^3 - 35*c_1001_4^2 + 39*c_1001_4 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB