Magma V2.19-8 Tue Aug 20 2013 23:38:19 on localhost [Seed = 340947002] Type ? for help. Type -D to quit. Loading file "K13n2566__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2566 geometric_solution 7.61453527 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 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 1 0 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118376970521 0.597716112093 0 4 6 5 0132 0132 0132 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 1 -8 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.490088261086 1.026584135598 3 0 6 0 0321 0132 0213 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 -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 1.250240798496 0.581132460018 2 7 7 0 0321 0132 3201 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 0.082217090900 1.169812215287 5 1 8 9 0213 0132 0132 0132 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 0 0 0 0 1 -1 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391401783494 1.071174175731 4 9 1 8 0213 1023 0132 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092171004192 0.926776750683 9 2 8 1 1302 0213 3201 0132 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 0 -7 0 8 -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 -1.513764982142 1.094251943719 3 3 8 9 2310 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996385489089 2.401912113537 6 5 7 4 2310 2310 1023 0132 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 0 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.038588613439 0.315327704233 5 6 4 7 1023 2031 0132 1023 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 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.618275464296 0.862794423617 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_7'], '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' : 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' : 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_1100_4'], 'c_1100_8' : d['c_1100_4'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : d['c_1100_4'], 'c_1100_7' : negation(d['c_1100_4']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_1']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0101_9'], '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' : d['c_0011_5'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0101_1']})} 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_5, c_0011_6, c_0011_8, c_0101_1, c_0101_7, c_0101_8, c_0101_9, c_1100_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3985828406845/35378349334152*c_1100_4^7 - 8752367606877/5896391555692*c_1100_4^6 - 331052973587335/35378349334152*c_1100_4^5 - 1224908536385605/35378349334152*c_1100_4^4 - 2845502794868507/35378349334152*c_1100_4^3 - 4135366855797101/35378349334152*c_1100_4^2 - 2235171489155609/17689174667076*c_1100_4 - 323095444582281/11792783111384, c_0011_0 - 1, c_0011_3 - 514135/309787476*c_1100_4^7 - 1886167/77446869*c_1100_4^6 - 26186855/154893738*c_1100_4^5 - 108365239/154893738*c_1100_4^4 - 46834900/25815623*c_1100_4^3 - 422870741/154893738*c_1100_4^2 - 235937513/103262492*c_1100_4 - 42458518/77446869, c_0011_5 + 33914/77446869*c_1100_4^7 + 616345/103262492*c_1100_4^6 + 6605947/154893738*c_1100_4^5 + 23653501/154893738*c_1100_4^4 + 19055335/77446869*c_1100_4^3 - 20167291/154893738*c_1100_4^2 - 159607691/154893738*c_1100_4 - 102982553/103262492, c_0011_6 + 21637/154893738*c_1100_4^7 - 940571/309787476*c_1100_4^6 - 5454941/154893738*c_1100_4^5 - 5215683/25815623*c_1100_4^4 - 49231171/77446869*c_1100_4^3 - 48827199/51631246*c_1100_4^2 - 70396531/154893738*c_1100_4 + 2000791/309787476, c_0011_8 - 1097431/309787476*c_1100_4^7 - 6662107/154893738*c_1100_4^6 - 19437655/77446869*c_1100_4^5 - 44223765/51631246*c_1100_4^4 - 284934719/154893738*c_1100_4^3 - 66023304/25815623*c_1100_4^2 - 952331603/309787476*c_1100_4 - 2112920/77446869, c_0101_1 - 141065/103262492*c_1100_4^7 - 1366759/77446869*c_1100_4^6 - 2791737/25815623*c_1100_4^5 - 57795203/154893738*c_1100_4^4 - 126180473/154893738*c_1100_4^3 - 87792167/77446869*c_1100_4^2 - 429122603/309787476*c_1100_4 + 21535909/154893738, c_0101_7 - 2579/154893738*c_1100_4^7 - 287955/103262492*c_1100_4^6 - 5520641/154893738*c_1100_4^5 - 33346259/154893738*c_1100_4^4 - 57023891/77446869*c_1100_4^3 - 186144493/154893738*c_1100_4^2 - 26121262/77446869*c_1100_4 + 15902799/103262492, c_0101_8 - 161543/309787476*c_1100_4^7 - 256121/77446869*c_1100_4^6 + 718756/77446869*c_1100_4^5 + 14555792/77446869*c_1100_4^4 + 46837023/51631246*c_1100_4^3 + 161643676/77446869*c_1100_4^2 + 213905265/103262492*c_1100_4 + 166188719/154893738, c_0101_9 + 294227/154893738*c_1100_4^7 + 6643411/309787476*c_1100_4^6 + 9104548/77446869*c_1100_4^5 + 57652315/154893738*c_1100_4^4 + 39324367/51631246*c_1100_4^3 + 79706788/77446869*c_1100_4^2 + 29083676/25815623*c_1100_4 - 209090789/309787476, c_1100_4^8 + 13*c_1100_4^7 + 81*c_1100_4^6 + 296*c_1100_4^5 + 680*c_1100_4^4 + 984*c_1100_4^3 + 1099*c_1100_4^2 + 263*c_1100_4 + 179 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB