Magma V2.19-8 Tue Aug 20 2013 23:38:22 on localhost [Seed = 290944309] Type ? for help. Type -D to quit. Loading file "K14n10510__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n10510 geometric_solution 8.37682916 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 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 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 0.567406842184 0.839583118560 0 5 7 6 0132 0132 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 1 -1 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 0.460447746469 0.180483694342 3 0 8 4 2031 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.651927562548 0.840736323373 5 7 2 0 0213 2031 1302 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 1.129645318426 0.429612371713 2 9 0 7 3201 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586514078533 0.500737512219 3 1 8 6 0213 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.466334786722 0.700664100140 5 9 1 9 3201 1023 0132 1302 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 -4 1 3 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 0.758712218274 0.839247341149 3 4 8 1 1302 0321 1302 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 1 0 -1 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 0.424474571116 0.300846444493 7 9 5 2 2031 0321 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758712218274 0.839247341149 6 4 6 8 1023 0132 2031 0321 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 4 0 -3 -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 0.758712218274 0.839247341149 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_0011_7'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0011_3'], '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_0011_3'], 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : negation(d['c_0110_6']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], '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' : 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_4']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), '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_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], '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_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_2'], '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_0101_1']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_7, c_0101_0, c_0101_1, c_0101_2, c_0101_8, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 19457106513164255020010875866267193856/4589548065094500767992892849\ 9643929*c_1001_2^9 + 38377966851160862364669108284263229440/4589548\ 0650945007679928928499643929*c_1001_2^8 - 155828407187444286829385872482216237312/458954806509450076799289284\ 99643929*c_1001_2^7 + 129434353897975007092379120863516111104/45895\ 480650945007679928928499643929*c_1001_2^6 - 239240580629570210195985349150718635264/458954806509450076799289284\ 99643929*c_1001_2^5 + 23165904426809688399394317503626961664/458954\ 80650945007679928928499643929*c_1001_2^4 - 243498167343539944551359222292107871168/458954806509450076799289284\ 99643929*c_1001_2^3 + 16641849060449446393970160143403011904/458954\ 80650945007679928928499643929*c_1001_2^2 - 215202974702149744639074662664815793792/458954806509450076799289284\ 99643929*c_1001_2 - 1915945572580624027796414815944658720/199545568\ 0475869899127344717375823, c_0011_0 - 1, c_0011_3 - 514691216468866828457312/1364809920441995646809653*c_1001_2^\ 9 + 1081495691034593853814528/1364809920441995646809653*c_1001_2^8 - 4257437120151114512675552/1364809920441995646809653*c_1001_2^7 + 3940375591674731614636712/1364809920441995646809653*c_1001_2^6 - 6790556961041967372883200/1364809920441995646809653*c_1001_2^5 + 1420436710191313989876760/1364809920441995646809653*c_1001_2^4 - 6739738538504863363089766/1364809920441995646809653*c_1001_2^3 + 1771234992220569958451712/1364809920441995646809653*c_1001_2^2 - 6015120525064229207958714/1364809920441995646809653*c_1001_2 - 52994555404649172357803/59339561758347636817811, c_0011_4 - 336335088994729017172512/1364809920441995646809653*c_1001_2^\ 9 + 722507565184381042183040/1364809920441995646809653*c_1001_2^8 - 2711824936174142400384544/1364809920441995646809653*c_1001_2^7 + 2539543050108274484506696/1364809920441995646809653*c_1001_2^6 - 3937419999930204314319608/1364809920441995646809653*c_1001_2^5 + 876768608425869067489768/1364809920441995646809653*c_1001_2^4 - 3992620661355038388419358/1364809920441995646809653*c_1001_2^3 + 1420776167470216553361280/1364809920441995646809653*c_1001_2^2 - 3246256518793909755850531/1364809920441995646809653*c_1001_2 + 4293447202188948416944/59339561758347636817811, c_0011_7 - 1600124945347460306062672/1364809920441995646809653*c_1001_2\ ^9 + 3063777416136815015478000/1364809920441995646809653*c_1001_2^8 - 12723436085199842037679056/1364809920441995646809653*c_1001_2^7 + 9997201706952546608529712/1364809920441995646809653*c_1001_2^6 - 19697236132642432828242552/1364809920441995646809653*c_1001_2^5 + 986368346199310369740336/1364809920441995646809653*c_1001_2^4 - 21191164183774054570165112/1364809920441995646809653*c_1001_2^3 + 585825883452001444782758/1364809920441995646809653*c_1001_2^2 - 18457583817592276991748119/1364809920441995646809653*c_1001_2 - 179283168291692916194156/59339561758347636817811, c_0101_0 - 473333806310795740469232/1364809920441995646809653*c_1001_2^\ 9 + 1050711976333918832136832/1364809920441995646809653*c_1001_2^8 - 4114349635345443574102512/1364809920441995646809653*c_1001_2^7 + 4273841457086883911438720/1364809920441995646809653*c_1001_2^6 - 7212457284198287190981012/1364809920441995646809653*c_1001_2^5 + 2418328592991845757499984/1364809920441995646809653*c_1001_2^4 - 6604693106480099164490280/1364809920441995646809653*c_1001_2^3 + 1688556902406528049915928/1364809920441995646809653*c_1001_2^2 - 7062566867779329241280537/1364809920441995646809653*c_1001_2 + 6303525527017974186386/59339561758347636817811, c_0101_1 - 1463406567672261500696480/1364809920441995646809653*c_1001_2\ ^9 + 2817429064324254637859456/1364809920441995646809653*c_1001_2^8 - 11692149081011455443065048/1364809920441995646809653*c_1001_2^7 + 9285988116162642474246000/1364809920441995646809653*c_1001_2^6 - 17931240176712257305946052/1364809920441995646809653*c_1001_2^5 + 837559341725107703950360/1364809920441995646809653*c_1001_2^4 - 17945519388605914136655042/1364809920441995646809653*c_1001_2^3 + 1069855225736255574847092/1364809920441995646809653*c_1001_2^2 - 16864477061378138892137196/1364809920441995646809653*c_1001_2 - 147893220372844177022596/59339561758347636817811, c_0101_2 + 1363998605557696780631232/1364809920441995646809653*c_1001_2\ ^9 - 2967510908490185225462800/1364809920441995646809653*c_1001_2^8 + 11337181332414401025567424/1364809920441995646809653*c_1001_2^7 - 10743378186336660390140768/1364809920441995646809653*c_1001_2^6 + 17435237330857555372057388/1364809920441995646809653*c_1001_2^5 - 2669175655974422721891920/1364809920441995646809653*c_1001_2^4 + 16667266109882001369286320/1364809920441995646809653*c_1001_2^3 - 3038372608190650054697544/1364809920441995646809653*c_1001_2^2 + 15457674418770032027190966/1364809920441995646809653*c_1001_2 + 100183127321609715403931/59339561758347636817811, c_0101_8 - 223361451152790263504384/1364809920441995646809653*c_1001_2^\ 9 + 480920317502081987541056/1364809920441995646809653*c_1001_2^8 - 2094670034478640820356600/1364809920441995646809653*c_1001_2^7 + 2147679950056351761674872/1364809920441995646809653*c_1001_2^6 - 4441023219820539098276724/1364809920441995646809653*c_1001_2^5 + 1351691670695090429165372/1364809920441995646809653*c_1001_2^4 - 3935868237810270647027390/1364809920441995646809653*c_1001_2^3 + 303059329145954233230332/1364809920441995646809653*c_1001_2^2 - 3833850980304017502324312/1364809920441995646809653*c_1001_2 + 2740793448607858661033/59339561758347636817811, c_0110_6 + 691328427568238746286208/1364809920441995646809653*c_1001_2^\ 9 - 1522495778121423141096720/1364809920441995646809653*c_1001_2^8 + 5913531460066116224798336/1364809920441995646809653*c_1001_2^7 - 5664292086120111421127376/1364809920441995646809653*c_1001_2^6 + 9560397330997146743418172/1364809920441995646809653*c_1001_2^5 - 915638439122684586912384/1364809920441995646809653*c_1001_2^4 + 8682024787171924592447604/1364809920441995646809653*c_1001_2^3 - 196820273250216947974984/1364809920441995646809653*c_1001_2^2 + 8965161381182212515489904/1364809920441995646809653*c_1001_2 + 108770021725987612237819/59339561758347636817811, c_1001_2^10 - 78/43*c_1001_2^9 + 331/43*c_1001_2^8 - 463/86*c_1001_2^7 + 967/86*c_1001_2^6 + 33/43*c_1001_2^5 + 4237/344*c_1001_2^4 + 395/344*c_1001_2^3 + 3761/344*c_1001_2^2 + 345/86*c_1001_2 + 529/1376 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB