Magma V2.19-8 Tue Aug 20 2013 23:29:32 on localhost [Seed = 1528642871] Type ? for help. Type -D to quit. Loading file "K10n20__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n20 geometric_solution 6.77819889 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 8 1 2 1 3 0132 0132 1023 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 -1 0 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901385317359 0.543751186130 0 4 0 5 0132 0132 1023 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 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.186593423472 0.490678938602 4 0 6 3 0321 0132 0132 1230 0 0 0 0 0 0 1 -1 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 -3 2 0 0 -1 1 -3 0 0 3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247617417397 0.751963005196 2 4 0 5 3012 0321 0132 1230 0 0 0 0 0 0 0 0 1 0 0 -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 -1 1 -2 0 0 2 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797987513142 0.450266964880 2 1 7 3 0321 0132 0132 0321 0 0 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 3 -3 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401992818503 0.467484131224 3 7 1 6 3012 0132 0132 3120 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 0 0 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901600584567 0.801406195303 5 7 7 2 3120 0213 3201 0132 0 0 0 0 0 0 1 -1 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 0 -3 3 -1 0 0 1 -2 0 0 2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.362527682439 0.892819519301 6 5 6 4 2310 0132 0213 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 3 0 0 -3 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303172691070 1.540163101637 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : negation(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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_1001_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_5'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], '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_5']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2']})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1220193053574336029/659929395733310862*c_1001_4^10 - 1087817956096342718/329964697866655431*c_1001_4^9 - 5206976428843121660/329964697866655431*c_1001_4^8 + 84677982662713960753/659929395733310862*c_1001_4^7 - 55710291434220614815/659929395733310862*c_1001_4^6 + 307443195373399031515/659929395733310862*c_1001_4^5 - 344794049459570809487/659929395733310862*c_1001_4^4 + 67311683029643484857/109988232622218477*c_1001_4^3 + 276948795369581702264/329964697866655431*c_1001_4^2 + 262006874033197236190/329964697866655431*c_1001_4 - 3449655278613342655/36662744207406159, c_0011_0 - 1, c_0011_5 - 169590602284223/219976465244436954*c_1001_4^10 + 188235236548841/109988232622218477*c_1001_4^9 + 931904612409973/219976465244436954*c_1001_4^8 - 5886335306359793/109988232622218477*c_1001_4^7 + 7913842549907699/109988232622218477*c_1001_4^6 - 35545441233344117/109988232622218477*c_1001_4^5 + 85463166299524547/219976465244436954*c_1001_4^4 - 67876886880114649/73325488414812318*c_1001_4^3 + 81325457732587229/219976465244436954*c_1001_4^2 - 144237650712003562/109988232622218477*c_1001_4 + 5209878766423205/24441829471604106, c_0011_6 - 612335487562445/219976465244436954*c_1001_4^10 + 1512148022035177/219976465244436954*c_1001_4^9 + 1980099678051683/109988232622218477*c_1001_4^8 - 22634806290187931/109988232622218477*c_1001_4^7 + 31097462382432890/109988232622218477*c_1001_4^6 - 104231705390168906/109988232622218477*c_1001_4^5 + 289460013402400067/219976465244436954*c_1001_4^4 - 71338178520338333/36662744207406159*c_1001_4^3 - 17111307924962275/219976465244436954*c_1001_4^2 - 92372740104620975/219976465244436954*c_1001_4 - 2545255243520168/12220914735802053, c_0101_0 + 100530971124727/219976465244436954*c_1001_4^10 - 340741181204999/219976465244436954*c_1001_4^9 - 272736758189896/109988232622218477*c_1001_4^8 + 4046602244554321/109988232622218477*c_1001_4^7 - 7958519403220240/109988232622218477*c_1001_4^6 + 18243596783523847/109988232622218477*c_1001_4^5 - 85215018273386071/219976465244436954*c_1001_4^4 + 13437321051173941/36662744207406159*c_1001_4^3 - 56064975335078995/219976465244436954*c_1001_4^2 - 135067892453528219/219976465244436954*c_1001_4 - 2752333595631476/12220914735802053, c_0101_1 - 1132635743864/12220914735802053*c_1001_4^10 - 28127239944968/12220914735802053*c_1001_4^9 + 63513975868021/12220914735802053*c_1001_4^8 + 208179921122441/12220914735802053*c_1001_4^7 - 2092776084366758/12220914735802053*c_1001_4^6 + 855542336310479/12220914735802053*c_1001_4^5 - 5270863556564416/12220914735802053*c_1001_4^4 + 2199954187663796/4073638245267351*c_1001_4^3 - 3012830763258076/12220914735802053*c_1001_4^2 - 18212070047817296/12220914735802053*c_1001_4 - 380566011763496/1357879415089117, c_0101_2 + 80503033293073/24441829471604106*c_1001_4^10 - 69549477390775/12220914735802053*c_1001_4^9 - 720565402831793/24441829471604106*c_1001_4^8 + 2807767863742495/12220914735802053*c_1001_4^7 - 1612614396880561/12220914735802053*c_1001_4^6 + 9099372448508410/12220914735802053*c_1001_4^5 - 18497317181984245/24441829471604106*c_1001_4^4 + 5201763163758905/8147276490534702*c_1001_4^3 + 48150469021028231/24441829471604106*c_1001_4^2 + 7063033740764669/12220914735802053*c_1001_4 + 166971286839543/2715758830178234, c_1001_2 - 100530971124727/219976465244436954*c_1001_4^10 + 340741181204999/219976465244436954*c_1001_4^9 + 272736758189896/109988232622218477*c_1001_4^8 - 4046602244554321/109988232622218477*c_1001_4^7 + 7958519403220240/109988232622218477*c_1001_4^6 - 18243596783523847/109988232622218477*c_1001_4^5 + 85215018273386071/219976465244436954*c_1001_4^4 - 13437321051173941/36662744207406159*c_1001_4^3 + 56064975335078995/219976465244436954*c_1001_4^2 + 135067892453528219/219976465244436954*c_1001_4 + 2752333595631476/12220914735802053, c_1001_4^11 - 2*c_1001_4^10 - 8*c_1001_4^9 + 71*c_1001_4^8 - 62*c_1001_4^7 + 272*c_1001_4^6 - 343*c_1001_4^5 + 429*c_1001_4^4 + 344*c_1001_4^3 + 376*c_1001_4^2 - 72*c_1001_4 + 81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB