Magma V2.19-8 Tue Aug 20 2013 23:38:20 on localhost [Seed = 1427321212] Type ? for help. Type -D to quit. Loading file "K13n3501__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3501 geometric_solution 8.67017671 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 0 1 2 0 3012 0132 0132 1230 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 1 0 -1 1 0 9 -10 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085789805155 0.993132827289 3 0 2 4 0132 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998856473327 0.764633869006 1 5 6 0 2031 0132 0132 0132 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 9 -9 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338600344355 0.279953729787 1 6 7 8 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -10 10 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127377817924 0.643904023172 6 5 1 9 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359818934391 0.961760791086 8 2 8 4 0213 0132 2031 2031 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 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551309800115 0.753381811249 9 4 3 2 0321 2031 2310 0132 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 9 -9 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433596502354 1.828640011026 9 8 9 3 3120 0132 0213 0132 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 -1 1 -1 0 -9 10 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363110978887 0.582446250797 5 7 3 5 0213 0132 0132 1302 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 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.331009238029 0.822110078082 6 7 4 7 0321 0213 0132 3120 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 1 -1 0 -1 0 0 1 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363110978887 0.582446250797 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : negation(d['c_0101_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_1001_7']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : d['c_0011_0'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_1001_7'], 's_3_1' : negation(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' : negation(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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : negation(d['c_0011_2']), 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : negation(d['c_0110_5']), 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_9'])})} 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_2, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_6, c_0110_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 475302/6929*c_0011_9*c_1001_7^2 + 2702425/6929*c_0011_9*c_1001_7 + 1528128/6929*c_0011_9 - 35081/533*c_1001_7^2 - 200535/533*c_1001_7 - 118215/533, c_0011_0 - 1, c_0011_2 + 2*c_0011_9*c_1001_7^2 + 11*c_0011_9*c_1001_7 + 5*c_0011_9 - c_1001_7 - 1, c_0011_4 - c_0011_9 + c_1001_7^2 + 5*c_1001_7 + 2, c_0011_6 - c_1001_7, c_0011_7 - c_0011_9 + c_1001_7^2 + 5*c_1001_7 + 2, c_0011_9^2 - c_0011_9*c_1001_7^2 - 5*c_0011_9*c_1001_7 - 2*c_0011_9 + c_1001_7^2 - c_1001_7, c_0101_0 + c_1001_7^2 + 6*c_1001_7 + 3, c_0101_6 + c_1001_7^2 + 5*c_1001_7 + 2, c_0110_5 + c_1001_7^2 + 5*c_1001_7 + 2, c_1001_7^3 + 6*c_1001_7^2 + 5*c_1001_7 + 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_6, c_0110_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 16886935056467054064712617894947/685711635247696162006195188*c_1001\ _7^13 + 68539645528653138080407909929019/91428218033026154934159358\ 4*c_1001_7^12 + 162069068315716861965464437043705/45714109016513077\ 4670796792*c_1001_7^11 - 304850322644223392612422020797341/27428465\ 40990784648024780752*c_1001_7^10 + 463699717014447396996318041932059/457141090165130774670796792*c_100\ 1_7^9 - 5750010591816032963144183901536251/274284654099078464802478\ 0752*c_1001_7^8 + 1581749058991379004302118914977157/45714109016513\ 0774670796792*c_1001_7^7 + 772821585725649862294213479767797/228570\ 545082565387335398396*c_1001_7^6 - 1174219464981875112412226460901035/228570545082565387335398396*c_10\ 01_7^5 - 2404976206346431924368231580031879/91428218033026154934159\ 3584*c_1001_7^4 + 471018878474685098044245577731562/171427908811924\ 040501548797*c_1001_7^3 + 1977259358339112226715562054895973/274284\ 6540990784648024780752*c_1001_7^2 - 334271652592785935470864423847677/1371423270495392324012390376*c_10\ 01_7 - 114897782979071855074492277182561/68571163524769616200619518\ 8, c_0011_0 - 1, c_0011_2 - 46406543530215531944/1606077637669449586381*c_1001_7^13 - 66363006252511265734/1606077637669449586381*c_1001_7^12 - 408467642982958321850/1606077637669449586381*c_1001_7^11 + 1422860342946608077791/1606077637669449586381*c_1001_7^10 - 1650085481947393086116/1606077637669449586381*c_1001_7^9 + 7557749347101326215251/1606077637669449586381*c_1001_7^8 - 11310032706006733063172/1606077637669449586381*c_1001_7^7 + 3362312781145015504977/1606077637669449586381*c_1001_7^6 + 22270182983268803382796/1606077637669449586381*c_1001_7^5 - 1751536422327348456057/1606077637669449586381*c_1001_7^4 - 12141818796272875557400/1606077637669449586381*c_1001_7^3 + 2621127380688846497233/1606077637669449586381*c_1001_7^2 - 53025879819389677431/1606077637669449586381*c_1001_7 + 402472693813666077933/1606077637669449586381, c_0011_4 - 77196169811758704566/1606077637669449586381*c_1001_7^13 - 752149692173236631709/3212155275338899172762*c_1001_7^12 - 3160870632640825080377/3212155275338899172762*c_1001_7^11 - 3713595347937080622479/3212155275338899172762*c_1001_7^10 - 6623290520858054643989/3212155275338899172762*c_1001_7^9 + 91859635969563681457/3212155275338899172762*c_1001_7^8 - 1599282552231225356375/3212155275338899172762*c_1001_7^7 - 29337978369057960969208/1606077637669449586381*c_1001_7^6 - 5788498694218594347255/1606077637669449586381*c_1001_7^5 + 54856615357212452322457/3212155275338899172762*c_1001_7^4 + 6536178413816301668921/3212155275338899172762*c_1001_7^3 - 14980480699093528278383/3212155275338899172762*c_1001_7^2 + 527153605129281724505/3212155275338899172762*c_1001_7 - 24500655647359461873/1606077637669449586381, c_0011_6 - c_1001_7, c_0011_7 + 239772286389537097408/1606077637669449586381*c_1001_7^13 + 800815181004424773698/1606077637669449586381*c_1001_7^12 + 7403392606157449599835/3212155275338899172762*c_1001_7^11 + 68090471217188923654/1606077637669449586381*c_1001_7^10 + 20299201458578293975001/3212155275338899172762*c_1001_7^9 - 17177845878399227846237/1606077637669449586381*c_1001_7^8 + 58775044925108762849547/3212155275338899172762*c_1001_7^7 + 41211466218756303473149/1606077637669449586381*c_1001_7^6 - 36379773253597130080094/1606077637669449586381*c_1001_7^5 - 33785750709351960072196/1606077637669449586381*c_1001_7^4 + 37494698621465283204179/3212155275338899172762*c_1001_7^3 + 10128068897111909252248/1606077637669449586381*c_1001_7^2 - 1286120089355583810521/3212155275338899172762*c_1001_7 - 1305262873043733702969/1606077637669449586381, c_0011_9 - 239772286389537097408/1606077637669449586381*c_1001_7^13 - 800815181004424773698/1606077637669449586381*c_1001_7^12 - 7403392606157449599835/3212155275338899172762*c_1001_7^11 - 68090471217188923654/1606077637669449586381*c_1001_7^10 - 20299201458578293975001/3212155275338899172762*c_1001_7^9 + 17177845878399227846237/1606077637669449586381*c_1001_7^8 - 58775044925108762849547/3212155275338899172762*c_1001_7^7 - 41211466218756303473149/1606077637669449586381*c_1001_7^6 + 36379773253597130080094/1606077637669449586381*c_1001_7^5 + 33785750709351960072196/1606077637669449586381*c_1001_7^4 - 37494698621465283204179/3212155275338899172762*c_1001_7^3 - 10128068897111909252248/1606077637669449586381*c_1001_7^2 + 1286120089355583810521/3212155275338899172762*c_1001_7 + 1305262873043733702969/1606077637669449586381, c_0101_0 - 757785061874288080749/1606077637669449586381*c_1001_7^13 - 9798345599010661220911/6424310550677798345524*c_1001_7^12 - 22958007642755580079879/3212155275338899172762*c_1001_7^11 + 3629484173066872539939/6424310550677798345524*c_1001_7^10 - 65401532288828032201561/3212155275338899172762*c_1001_7^9 + 233649833429581026898181/6424310550677798345524*c_1001_7^8 - 200955196955051655178723/3212155275338899172762*c_1001_7^7 - 114497613200145537301980/1606077637669449586381*c_1001_7^6 + 121133720894922371863119/1606077637669449586381*c_1001_7^5 + 358422968259445337016091/6424310550677798345524*c_1001_7^4 - 53460163896493449399259/1606077637669449586381*c_1001_7^3 - 92372544542035775574127/6424310550677798345524*c_1001_7^2 - 227570013757023334807/3212155275338899172762*c_1001_7 + 4047684175869087061309/1606077637669449586381, c_0101_6 - 481749013256887329988/1606077637669449586381*c_1001_7^13 - 1527650164612735858961/1606077637669449586381*c_1001_7^12 - 14252841078870037617605/3212155275338899172762*c_1001_7^11 + 1253355639912347402656/1606077637669449586381*c_1001_7^10 - 39420542082791010106445/3212155275338899172762*c_1001_7^9 + 38153410665799494752952/1606077637669449586381*c_1001_7^8 - 125097873602083832361475/3212155275338899172762*c_1001_7^7 - 75502433898748701887960/1606077637669449586381*c_1001_7^6 + 93628837629986723457985/1606077637669449586381*c_1001_7^5 + 59326588252657545523545/1606077637669449586381*c_1001_7^4 - 97696512242767004831867/3212155275338899172762*c_1001_7^3 - 15633167067956342936983/1606077637669449586381*c_1001_7^2 + 6207072920333166741325/3212155275338899172762*c_1001_7 + 1975209968622689561765/1606077637669449586381, c_0110_5 + 96847318665220100610/1606077637669449586381*c_1001_7^13 + 665918851267731488103/3212155275338899172762*c_1001_7^12 + 3008012398943733141987/3212155275338899172762*c_1001_7^11 + 136447294089606751835/3212155275338899172762*c_1001_7^10 + 7278279215753161192037/3212155275338899172762*c_1001_7^9 - 14120344277368777688543/3212155275338899172762*c_1001_7^8 + 19898205466134080735579/3212155275338899172762*c_1001_7^7 + 17793254211285383359310/1606077637669449586381*c_1001_7^6 - 14343307522347734655470/1606077637669449586381*c_1001_7^5 - 45628900798639073235031/3212155275338899172762*c_1001_7^4 + 10485538217935489743135/3212155275338899172762*c_1001_7^3 + 16223074933914566548083/3212155275338899172762*c_1001_7^2 + 1043981323368064508327/3212155275338899172762*c_1001_7 - 845486091652351165519/1606077637669449586381, c_1001_7^14 + 11/4*c_1001_7^13 + 27/2*c_1001_7^12 - 35/4*c_1001_7^11 + 85/2*c_1001_7^10 - 389/4*c_1001_7^9 + 331/2*c_1001_7^8 + 96*c_1001_7^7 - 249*c_1001_7^6 - 183/4*c_1001_7^5 + 143*c_1001_7^4 - 13/4*c_1001_7^3 - 37/2*c_1001_7^2 - 4*c_1001_7 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB