Magma V2.19-8 Tue Aug 20 2013 23:39:04 on localhost [Seed = 1090987305] Type ? for help. Type -D to quit. Loading file "K12n835__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n835 geometric_solution 10.95210212 oriented_manifold CS_known -0.0000000000000011 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 -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 -1 0 1 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562857595854 0.954524436829 0 3 2 5 0132 1230 1230 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620024479149 0.759365506972 6 0 7 1 0132 0132 0132 3012 0 0 0 0 0 -1 0 1 -1 0 1 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 0 -1 1 0 -1 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 0.466741560412 0.980087025272 8 4 1 0 0132 3012 3012 0132 0 0 0 0 0 -1 0 1 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 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 0.620024479149 0.759365506972 3 6 0 7 1230 0132 0132 0132 0 0 0 0 0 1 0 -1 1 0 0 -1 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 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 0 0 0 0.466741560412 0.980087025272 9 10 1 8 0132 0132 0132 0321 0 0 0 0 0 -1 0 1 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 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 0.520074123382 0.593561289258 2 4 9 10 0132 0132 3012 3012 0 0 0 0 0 -1 1 0 1 0 -1 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 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 0.518913615993 0.737624278924 9 10 4 2 2103 3012 0132 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 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 1 -1 0 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 0.518913615993 0.737624278924 3 5 9 10 0132 0321 0132 1023 0 0 0 0 0 -1 0 1 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 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 0.520074123382 0.593561289258 5 6 7 8 0132 1230 2103 0132 0 0 0 0 0 1 -1 0 -1 0 0 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 -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 0.692309515955 0.817381971950 7 5 6 8 1230 0132 1230 1023 0 0 0 0 0 1 0 -1 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 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 0.616344174864 1.239503358543 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0101_6'], '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' : 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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : 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' : negation(d['c_0101_2']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0011_7'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0011_7'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], '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_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_2'])})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 19/7*c_1001_1^7 - 419/35*c_1001_1^6 + 899/35*c_1001_1^5 - 269/7*c_1001_1^4 + 489/35*c_1001_1^3 + 2543/35*c_1001_1^2 - 391/7*c_1001_1 + 2089/35, c_0011_0 - 1, c_0011_10 - 13/12*c_1001_1^7 + 73/12*c_1001_1^6 - 205/12*c_1001_1^5 + 137/4*c_1001_1^4 - 177/4*c_1001_1^3 + 263/12*c_1001_1^2 - 107/12*c_1001_1 + 29/12, c_0011_3 - 2/3*c_1001_1^7 + 23/6*c_1001_1^6 - 11*c_1001_1^5 + 45/2*c_1001_1^4 - 61/2*c_1001_1^3 + 55/3*c_1001_1^2 - 55/6*c_1001_1 + 3, c_0011_7 - 5/12*c_1001_1^7 + 9/4*c_1001_1^6 - 73/12*c_1001_1^5 + 47/4*c_1001_1^4 - 57/4*c_1001_1^3 + 61/12*c_1001_1^2 - 9/4*c_1001_1 + 11/12, c_0101_0 - 1/6*c_1001_1^7 + c_1001_1^6 - 17/6*c_1001_1^5 + 11/2*c_1001_1^4 - 7*c_1001_1^3 + 17/6*c_1001_1^2 + 2/3, c_0101_1 + 5/12*c_1001_1^7 - 9/4*c_1001_1^6 + 73/12*c_1001_1^5 - 47/4*c_1001_1^4 + 57/4*c_1001_1^3 - 61/12*c_1001_1^2 + 5/4*c_1001_1 + 1/12, c_0101_10 - 1/4*c_1001_1^7 + 5/4*c_1001_1^6 - 13/4*c_1001_1^5 + 25/4*c_1001_1^4 - 29/4*c_1001_1^3 + 9/4*c_1001_1^2 - 9/4*c_1001_1 + 1/4, c_0101_2 - 13/12*c_1001_1^7 + 73/12*c_1001_1^6 - 205/12*c_1001_1^5 + 137/4*c_1001_1^4 - 177/4*c_1001_1^3 + 263/12*c_1001_1^2 - 95/12*c_1001_1 + 17/12, c_0101_3 - 2/3*c_1001_1^7 + 4*c_1001_1^6 - 71/6*c_1001_1^5 + 49/2*c_1001_1^4 - 34*c_1001_1^3 + 64/3*c_1001_1^2 - 15/2*c_1001_1 + 13/6, c_0101_6 + 1/6*c_1001_1^6 - 5/6*c_1001_1^5 + 2*c_1001_1^4 - 7/2*c_1001_1^3 + 3*c_1001_1^2 + 2/3*c_1001_1 + 1/6, c_1001_1^8 - 6*c_1001_1^7 + 18*c_1001_1^6 - 38*c_1001_1^5 + 54*c_1001_1^4 - 38*c_1001_1^3 + 18*c_1001_1^2 - 6*c_1001_1 + 1 ], 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 808032648626078/2030988132845*c_0101_6^12 - 1332513731624444/2030988132845*c_0101_6^11 + 58979213650527/2030988132845*c_0101_6^10 - 652019522747986/406197626569*c_0101_6^9 - 6190225335796329/4061976265690*c_0101_6^8 - 3109907063903481/4061976265690*c_0101_6^7 - 794959230614949/213788224510*c_0101_6^6 + 2649313303439862/2030988132845*c_0101_6^5 - 21723683822544427/4061976265690*c_0101_6^4 + 1291407003491372/406197626569*c_0101_6^3 - 11090937752870099/4061976265690*c_0101_6^2 + 436199267689088/406197626569*c_0101_6 - 30317460427112/106894112255, c_0011_0 - 1, c_0011_10 - 310481496/436302499*c_0101_6^12 - 735012488/436302499*c_0101_6^11 - 362324968/436302499*c_0101_6^10 - 1380966508/436302499*c_0101_6^9 - 2436043020/436302499*c_0101_6^8 - 1752996268/436302499*c_0101_6^7 - 3729494933/436302499*c_0101_6^6 - 1965270487/436302499*c_0101_6^5 - 4308735464/436302499*c_0101_6^4 - 1535108003/436302499*c_0101_6^3 - 1089137295/436302499*c_0101_6^2 - 1098668679/436302499*c_0101_6 - 53138127/436302499, c_0011_3 - c_0101_6, c_0011_7 + 887072464/436302499*c_0101_6^12 + 2083921476/436302499*c_0101_6^11 + 1119601828/436302499*c_0101_6^10 + 3731311982/436302499*c_0101_6^9 + 5719467686/436302499*c_0101_6^8 + 4681197615/436302499*c_0101_6^7 + 10037632182/436302499*c_0101_6^6 + 2888364960/436302499*c_0101_6^5 + 10986889773/436302499*c_0101_6^4 + 125849366/436302499*c_0101_6^3 + 3325893411/436302499*c_0101_6^2 + 237497644/436302499*c_0101_6 - 196638820/436302499, c_0101_0 + 457537928/436302499*c_0101_6^12 + 532957412/436302499*c_0101_6^11 - 753089960/436302499*c_0101_6^10 + 1293791262/436302499*c_0101_6^9 + 1003929208/436302499*c_0101_6^8 - 1242047423/436302499*c_0101_6^7 + 2472604812/436302499*c_0101_6^6 - 3948340514/436302499*c_0101_6^5 + 4084789979/436302499*c_0101_6^4 - 5216743503/436302499*c_0101_6^3 + 764944293/436302499*c_0101_6^2 - 133883841/436302499*c_0101_6 - 528709328/436302499, c_0101_1 + 41707600/436302499*c_0101_6^12 - 98709108/436302499*c_0101_6^11 - 214297800/436302499*c_0101_6^10 + 470207502/436302499*c_0101_6^9 - 186902176/436302499*c_0101_6^8 - 311186953/436302499*c_0101_6^7 + 905294933/436302499*c_0101_6^6 - 894460412/436302499*c_0101_6^5 + 1823262502/436302499*c_0101_6^4 - 1440392553/436302499*c_0101_6^3 + 2052357953/436302499*c_0101_6^2 - 258437049/436302499*c_0101_6 + 22529527/436302499, c_0101_10 + 1048436588/436302499*c_0101_6^12 + 2174643068/436302499*c_0101_6^11 + 530848446/436302499*c_0101_6^10 + 3813221002/436302499*c_0101_6^9 + 5532728835/436302499*c_0101_6^8 + 3302689152/436302499*c_0101_6^7 + 9650506095/436302499*c_0101_6^6 - 252968290/436302499*c_0101_6^5 + 11222664034/436302499*c_0101_6^4 - 3052577895/436302499*c_0101_6^3 + 2666538502/436302499*c_0101_6^2 - 430490770/436302499*c_0101_6 - 221852175/436302499, c_0101_2 + 310481496/436302499*c_0101_6^12 + 735012488/436302499*c_0101_6^11 + 362324968/436302499*c_0101_6^10 + 1380966508/436302499*c_0101_6^9 + 2436043020/436302499*c_0101_6^8 + 1752996268/436302499*c_0101_6^7 + 3729494933/436302499*c_0101_6^6 + 1965270487/436302499*c_0101_6^5 + 4308735464/436302499*c_0101_6^4 + 1535108003/436302499*c_0101_6^3 + 1089137295/436302499*c_0101_6^2 + 1098668679/436302499*c_0101_6 + 53138127/436302499, c_0101_3 + 1524510372/436302499*c_0101_6^12 + 3899813604/436302499*c_0101_6^11 + 2645722594/436302499*c_0101_6^10 + 6698077442/436302499*c_0101_6^9 + 10957413017/436302499*c_0101_6^8 + 9825465230/436302499*c_0101_6^7 + 18467761577/436302499*c_0101_6^6 + 7819393405/436302499*c_0101_6^5 + 19437595710/436302499*c_0101_6^4 + 3842899215/436302499*c_0101_6^3 + 4849471693/436302499*c_0101_6^2 + 1163792643/436302499*c_0101_6 - 234131478/436302499, c_0101_6^13 + 2*c_0101_6^12 + 1/2*c_0101_6^11 + 4*c_0101_6^10 + 21/4*c_0101_6^9 + 13/4*c_0101_6^8 + 10*c_0101_6^7 + 49/4*c_0101_6^5 - 13/4*c_0101_6^4 + 4*c_0101_6^3 - 1/4*c_0101_6^2 - 1/4*c_0101_6 + 1/4, c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB