Magma V2.19-8 Tue Aug 20 2013 23:39:24 on localhost [Seed = 1157832989] Type ? for help. Type -D to quit. Loading file "K13n3875__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3875 geometric_solution 9.63573192 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 1 0 -1 0 -12 12 0 0 1 -13 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642102771409 0.888358572143 0 4 6 5 0132 1302 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 0 0 0 -1 0 1 0 -1 1 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431417187554 0.388643465227 7 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 13 0 -13 13 -12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652746019858 1.224720964322 7 9 8 0 2031 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 0 0 0 0 -1 1 0 12 0 -12 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465572113967 0.739388793959 9 8 0 1 0132 2031 0132 2031 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 0 1 -1 0 0 0 0 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465572113967 0.739388793959 7 8 1 10 1023 0132 0132 0132 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 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472823499539 0.577193080645 7 10 10 1 3120 2031 0132 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 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 -1.225097350335 0.470445035334 2 5 3 6 0132 1023 1302 3120 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 0 1 -1 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815645660278 0.574116718456 4 5 2 3 1302 0132 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652746019858 1.224720964322 4 3 10 2 0132 0132 0213 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 0 0 0 0 0 0 0 0 -1 0 1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642102771409 0.888358572143 6 9 5 6 1302 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.552738470281 1.669717889566 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_6']), '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_10' : 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_1100_9' : d['c_0101_3'], 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0101_3'], 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : d['c_1001_5'], 's_3_1' : d['1'], 's_3_0' : 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'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_0'], '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_10' : negation(d['c_0101_3']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_8, c_1001_0, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 315961781581/15194617849*c_1100_1^8 - 761193128587/15194617849*c_1100_1^7 + 757226224034/15194617849*c_1100_1^6 + 11339391967364/15194617849*c_1100_1^5 + 56454103058469/15194617849*c_1100_1^4 + 26612086147460/15194617849*c_1100_1^3 - 9165266095878/15194617849*c_1100_1^2 + 21304645083109/15194617849*c_1100_1 + 5124794187940/15194617849, c_0011_0 - 1, c_0011_10 - 1519701387/30389235698*c_1100_1^8 + 4093206429/30389235698*c_1100_1^7 - 2543655006/15194617849*c_1100_1^6 - 26163563186/15194617849*c_1100_1^5 - 128819863809/15194617849*c_1100_1^4 - 64052712443/30389235698*c_1100_1^3 + 8242341518/15194617849*c_1100_1^2 - 118892151087/30389235698*c_1100_1 + 6664997621/30389235698, c_0011_3 + 1207031823/30389235698*c_1100_1^8 - 3066185029/30389235698*c_1100_1^7 + 1605416881/15194617849*c_1100_1^6 + 21451623086/15194617849*c_1100_1^5 + 105173169109/15194617849*c_1100_1^4 + 71188663763/30389235698*c_1100_1^3 - 32923132559/15194617849*c_1100_1^2 + 48853728575/30389235698*c_1100_1 + 9557619415/30389235698, c_0011_6 + 1347997709/30389235698*c_1100_1^8 - 3600952913/30389235698*c_1100_1^7 + 1894549160/15194617849*c_1100_1^6 + 24167024576/15194617849*c_1100_1^5 + 113458658662/15194617849*c_1100_1^4 + 41483098471/30389235698*c_1100_1^3 - 61360827946/15194617849*c_1100_1^2 + 90721133649/30389235698*c_1100_1 - 8692231935/30389235698, c_0101_0 + 1519701387/30389235698*c_1100_1^8 - 4093206429/30389235698*c_1100_1^7 + 2543655006/15194617849*c_1100_1^6 + 26163563186/15194617849*c_1100_1^5 + 128819863809/15194617849*c_1100_1^4 + 64052712443/30389235698*c_1100_1^3 - 8242341518/15194617849*c_1100_1^2 + 118892151087/30389235698*c_1100_1 - 6664997621/30389235698, c_0101_1 + 1477850811/30389235698*c_1100_1^8 - 3908750803/30389235698*c_1100_1^7 + 2160369119/15194617849*c_1100_1^6 + 26289319755/15194617849*c_1100_1^5 + 125428937755/15194617849*c_1100_1^4 + 60192428819/30389235698*c_1100_1^3 - 36159494626/15194617849*c_1100_1^2 + 135827394717/30389235698*c_1100_1 - 4243372259/30389235698, c_0101_3 + 633988218/15194617849*c_1100_1^8 - 1940271696/15194617849*c_1100_1^7 + 2527071406/15194617849*c_1100_1^6 + 21860398671/15194617849*c_1100_1^5 + 98144381376/15194617849*c_1100_1^4 - 19398534232/15194617849*c_1100_1^3 - 46330668179/15194617849*c_1100_1^2 + 69314010346/15194617849*c_1100_1 - 12255465474/15194617849, c_0110_8 - 457042639/30389235698*c_1100_1^8 + 1299961737/30389235698*c_1100_1^7 - 899647417/15194617849*c_1100_1^6 - 7708210427/15194617849*c_1100_1^5 - 37357750577/15194617849*c_1100_1^4 - 11640182893/30389235698*c_1100_1^3 - 6760659808/15194617849*c_1100_1^2 - 48406043413/30389235698*c_1100_1 + 23725675117/30389235698, c_1001_0 + 1207031823/30389235698*c_1100_1^8 - 3066185029/30389235698*c_1100_1^7 + 1605416881/15194617849*c_1100_1^6 + 21451623086/15194617849*c_1100_1^5 + 105173169109/15194617849*c_1100_1^4 + 71188663763/30389235698*c_1100_1^3 - 32923132559/15194617849*c_1100_1^2 + 48853728575/30389235698*c_1100_1 + 9557619415/30389235698, c_1001_5 - 1477850811/30389235698*c_1100_1^8 + 3908750803/30389235698*c_1100_1^7 - 2160369119/15194617849*c_1100_1^6 - 26289319755/15194617849*c_1100_1^5 - 125428937755/15194617849*c_1100_1^4 - 60192428819/30389235698*c_1100_1^3 + 36159494626/15194617849*c_1100_1^2 - 135827394717/30389235698*c_1100_1 + 4243372259/30389235698, c_1100_1^9 - 3*c_1100_1^8 + 4*c_1100_1^7 + 34*c_1100_1^6 + 158*c_1100_1^5 - 15*c_1100_1^4 - 48*c_1100_1^3 + 93*c_1100_1^2 - 31*c_1100_1 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB