Magma V2.19-8 Tue Aug 20 2013 23:39:55 on localhost [Seed = 2547118882] Type ? for help. Type -D to quit. Loading file "L12n1025__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1025 geometric_solution 9.39560563 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 1 3 0132 0132 2310 0132 1 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 1 -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 0.441985795957 1.155238522222 0 0 4 4 0132 3201 3201 0132 1 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 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 0.414146917813 0.307082228182 5 0 6 5 0132 0132 0132 3012 1 1 1 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 0 6 -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 0.627048049383 1.110532888987 7 8 0 5 0132 0132 0132 3201 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 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 -5 0 0 5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695446173394 0.934069654891 1 5 1 6 2310 0321 0132 1230 1 0 0 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 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 0.441985795957 1.155238522222 2 3 2 4 0132 2310 1230 0321 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 0 0 0 0 0 0 0 -5 5 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 0.271756302187 0.809204271137 4 9 8 2 3012 0132 0321 0132 1 1 0 0 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315521625398 0.967708004297 3 9 8 9 0132 2310 2103 1230 0 0 0 1 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 1 0 0 -1 0 0 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867751787098 1.027699306881 7 3 6 9 2103 0132 0321 0132 1 0 0 1 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 1 -1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722459655470 0.406025553669 7 6 8 7 3012 0132 0132 3201 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520356268847 0.568053604019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : negation(d['c_1001_5']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(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' : d['c_0011_3'], 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_1001_5']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_6']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_6']), 'c_0110_9' : negation(d['c_0101_9']), 'c_0110_8' : d['c_0101_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_0101_6, c_0101_9, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 466927667973603/813806411341640*c_1001_5^9 + 3436333187572091/813806411341640*c_1001_5^8 - 10054357595139067/813806411341640*c_1001_5^7 - 36188535097749/20345160283541*c_1001_5^6 - 22959327568050403/406903205670820*c_1001_5^5 + 100954733813024643/813806411341640*c_1001_5^4 - 191010279136884899/813806411341640*c_1001_5^3 + 7200747273931557/101725801417705*c_1001_5^2 - 38290003618401447/813806411341640*c_1001_5 - 11329338340812433/406903205670820, c_0011_0 - 1, c_0011_3 + 67076772111/20345160283541*c_1001_5^9 - 525642471314/20345160283541*c_1001_5^8 + 1553430768629/20345160283541*c_1001_5^7 + 396461332073/20345160283541*c_1001_5^6 + 4324729625267/20345160283541*c_1001_5^5 - 19921605400702/20345160283541*c_1001_5^4 + 22193205606635/20345160283541*c_1001_5^3 + 7973180713552/20345160283541*c_1001_5^2 - 11358215383251/20345160283541*c_1001_5 + 831753814411/20345160283541, c_0011_4 - 1, c_0011_6 + 1, c_0101_0 + 74849730713/40690320567082*c_1001_5^9 - 519662507235/40690320567082*c_1001_5^8 + 1264546066701/40690320567082*c_1001_5^7 + 728112376049/20345160283541*c_1001_5^6 + 3581787695145/20345160283541*c_1001_5^5 - 19794352068817/40690320567082*c_1001_5^4 + 9559213767983/40690320567082*c_1001_5^3 + 682893115635/20345160283541*c_1001_5^2 + 11907833983337/40690320567082*c_1001_5 - 24681602064933/20345160283541, c_0101_5 - 51470244119/20345160283541*c_1001_5^9 + 328679217837/20345160283541*c_1001_5^8 - 746766888731/20345160283541*c_1001_5^7 - 1137850816274/20345160283541*c_1001_5^6 - 5755373173449/20345160283541*c_1001_5^5 + 7187651140497/20345160283541*c_1001_5^4 - 10878074078461/20345160283541*c_1001_5^3 - 5852852747301/20345160283541*c_1001_5^2 - 18233347511114/20345160283541*c_1001_5 + 7100632092278/20345160283541, c_0101_6 + 136569864413/40690320567082*c_1001_5^9 - 771496903993/40690320567082*c_1001_5^8 + 1539995702727/40690320567082*c_1001_5^7 + 1632320049365/20345160283541*c_1001_5^6 + 9831336423460/20345160283541*c_1001_5^5 - 1278160934943/40690320567082*c_1001_5^4 + 35124615143733/40690320567082*c_1001_5^3 + 11647955909619/20345160283541*c_1001_5^2 + 37821968000643/40690320567082*c_1001_5 + 11034425014081/20345160283541, c_0101_9 - 451039148457/81380641134164*c_1001_5^9 + 2468834663691/81380641134164*c_1001_5^8 - 3700731273995/81380641134164*c_1001_5^7 - 8676835159535/40690320567082*c_1001_5^6 - 27600545787121/40690320567082*c_1001_5^5 + 17660735027505/81380641134164*c_1001_5^4 - 6987642934643/81380641134164*c_1001_5^3 - 81310305655109/40690320567082*c_1001_5^2 - 35238394018597/81380641134164*c_1001_5 - 12961693737913/20345160283541, c_1001_2 + 136569864413/40690320567082*c_1001_5^9 - 771496903993/40690320567082*c_1001_5^8 + 1539995702727/40690320567082*c_1001_5^7 + 1632320049365/20345160283541*c_1001_5^6 + 9831336423460/20345160283541*c_1001_5^5 - 1278160934943/40690320567082*c_1001_5^4 + 35124615143733/40690320567082*c_1001_5^3 + 11647955909619/20345160283541*c_1001_5^2 + 37821968000643/40690320567082*c_1001_5 + 11034425014081/20345160283541, c_1001_5^10 - 7*c_1001_5^9 + 19*c_1001_5^8 + 10*c_1001_5^7 + 102*c_1001_5^6 - 181*c_1001_5^5 + 343*c_1001_5^4 - 2*c_1001_5^3 + 89*c_1001_5^2 + 52*c_1001_5 + 40 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB