Magma V2.19-8 Tue Aug 20 2013 16:18:00 on localhost [Seed = 475889874] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2228 geometric_solution 5.66644578 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 -1 0 1 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 -0.247129143430 0.599676917540 0 0 4 3 0132 3201 0132 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 -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 0.587444322478 1.425476557077 0 0 4 3 3201 0132 2310 2310 0 0 0 0 0 1 -1 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 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 0 0 0 0 0.587444322478 1.425476557077 2 5 1 5 3201 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852175484772 0.652948897721 6 2 6 1 0132 3201 1023 0132 0 0 0 0 0 0 0 0 1 0 0 -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 1 -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 0.852175484772 0.652948897721 5 3 5 3 2310 0132 3201 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 0.710407852910 0.240992335402 4 6 4 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 -1 0 0 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 -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 0.710407852910 0.240992335402 ==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_2_0' : negation(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' : negation(d['1']), 's_2_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0110_3']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 8288*c_0110_3^13 - 19856*c_0110_3^11 - 18668*c_0110_3^9 - 7992*c_0110_3^7 - 998*c_0110_3^5 + 3007/8*c_0110_3^3 + 1115/8*c_0110_3, c_0011_0 - 1, c_0011_3 + 2*c_0110_3^2 + 1, c_0101_0 - 128*c_0110_3^13 - 448*c_0110_3^11 - 528*c_0110_3^9 - 256*c_0110_3^7 - 24*c_0110_3^5 + 37/2*c_0110_3^3 + 9/2*c_0110_3, c_0101_1 - c_0110_3, c_0101_4 - 64*c_0110_3^13 - 96*c_0110_3^11 - 72*c_0110_3^9 - 16*c_0110_3^7 + 12*c_0110_3^5 + 37/4*c_0110_3^3 + 5/4*c_0110_3, c_0101_5 - 64*c_0110_3^13 - 96*c_0110_3^11 - 72*c_0110_3^9 - 16*c_0110_3^7 + 12*c_0110_3^5 + 37/4*c_0110_3^3 + 5/4*c_0110_3, c_0110_3^14 + 5/2*c_0110_3^12 + 21/8*c_0110_3^10 + 11/8*c_0110_3^8 + 5/16*c_0110_3^6 - 5/256*c_0110_3^4 - 3/128*c_0110_3^2 - 1/256 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 152467965585884191902895842525184/1734544696849317309143463229*c_01\ 10_3^23 + 321440315217516898429000417804288/17345446968493173091434\ 63229*c_0110_3^21 - 275543534760747017939188971470848/1734544696849\ 317309143463229*c_0110_3^19 + 207082058506876478726176551993344/173\ 4544696849317309143463229*c_0110_3^17 - 97344336824078005581529191809024/1734544696849317309143463229*c_011\ 0_3^15 - 12785430911659359377394977734656/1734544696849317309143463\ 229*c_0110_3^13 + 8731006256699366136875239473152/17345446968493173\ 09143463229*c_0110_3^11 + 2642372712394601660731166392320/173454469\ 6849317309143463229*c_0110_3^9 - 3407843708358239992180099923968/17\ 34544696849317309143463229*c_0110_3^7 + 1570414666069925215345197033472/1734544696849317309143463229*c_0110\ _3^5 + 1059806939427574698742783474176/1734544696849317309143463229\ *c_0110_3^3 + 263012055095365491579271323264/1734544696849317309143\ 463229*c_0110_3, c_0011_0 - 1, c_0011_3 - 3833611535792848578281472/16915621037919635161969*c_0110_3^2\ 2 + 9884649211647798180577280/16915621037919635161969*c_0110_3^20 - 12581634731554499059384320/16915621037919635161969*c_0110_3^18 + 12183260021555478577938432/16915621037919635161969*c_0110_3^16 - 8322356619430710323191808/16915621037919635161969*c_0110_3^14 + 3681717449997302433568768/16915621037919635161969*c_0110_3^12 - 998005406754758587423232/16915621037919635161969*c_0110_3^10 + 70468910543145953027840/16915621037919635161969*c_0110_3^8 - 82560309642885720534336/16915621037919635161969*c_0110_3^6 + 58397041627932323418336/16915621037919635161969*c_0110_3^4 - 20841260600044059233598/16915621037919635161969*c_0110_3^2 + 13097875700527853959719/33831242075839270323938, c_0101_0 + 133921273299728097525891072/693540462554705041640729*c_0110_\ 3^23 - 739121131127298680603803648/693540462554705041640729*c_0110_\ 3^21 + 1427361231677359373856276480/693540462554705041640729*c_0110\ _3^19 - 1503199984972245541062574080/693540462554705041640729*c_011\ 0_3^17 + 1167579627514512472613289984/693540462554705041640729*c_01\ 10_3^15 - 622926452182133833731592192/693540462554705041640729*c_01\ 10_3^13 + 111447787145567143840345088/693540462554705041640729*c_01\ 10_3^11 + 46538987622637651327368448/693540462554705041640729*c_011\ 0_3^9 - 26069719757815053814309312/693540462554705041640729*c_0110_\ 3^7 - 1990623130744557410424320/693540462554705041640729*c_0110_3^5 + 6355293858559357068687232/693540462554705041640729*c_0110_3^3 + 449987827903449802505775/693540462554705041640729*c_0110_3, c_0101_1 - 2121025402961809143953883136/693540462554705041640729*c_0110\ _3^23 + 5381152543888276255739478016/693540462554705041640729*c_011\ 0_3^21 - 6035455166983755008575012864/693540462554705041640729*c_01\ 10_3^19 + 5162794756346050876110733312/693540462554705041640729*c_0\ 110_3^17 - 3199307781435653151658606592/693540462554705041640729*c_\ 0110_3^15 + 862427143305013403501015040/693540462554705041640729*c_\ 0110_3^13 - 19031904765267649914777600/693540462554705041640729*c_0\ 110_3^11 - 30676450329124776341965824/693540462554705041640729*c_01\ 10_3^9 - 19859887542313529557056064/693540462554705041640729*c_0110\ _3^7 + 31427167881052603178663088/693540462554705041640729*c_0110_3\ ^5 + 762922306888534926697596/693540462554705041640729*c_0110_3^3 + 716501587829638096248107/693540462554705041640729*c_0110_3, c_0101_4 + 647536584122235311511044096/693540462554705041640729*c_0110_\ 3^23 - 1445022834800936643797712896/693540462554705041640729*c_0110\ _3^21 + 1352943356872403506764185600/693540462554705041640729*c_011\ 0_3^19 - 1097993059153303637855830016/693540462554705041640729*c_01\ 10_3^17 + 639888620478373209463865344/693540462554705041640729*c_01\ 10_3^15 - 100494669078046591443415040/693540462554705041640729*c_01\ 10_3^13 + 36988956533877906334204928/693540462554705041640729*c_011\ 0_3^11 - 43417251073988847945815040/693540462554705041640729*c_0110\ _3^9 + 18844586744068358661937664/693540462554705041640729*c_0110_3\ ^7 - 8658991486556954220367328/693540462554705041640729*c_0110_3^5 - 4013036647857792412414960/693540462554705041640729*c_0110_3^3 - 860339534724779671256893/693540462554705041640729*c_0110_3, c_0101_5 + 1025097814576276925734453248/693540462554705041640729*c_0110\ _3^23 - 2673527715677465471238537216/693540462554705041640729*c_011\ 0_3^21 + 3021493796620694941717495808/693540462554705041640729*c_01\ 10_3^19 - 2507894553388762478008991744/693540462554705041640729*c_0\ 110_3^17 + 1500421753001421759648858112/693540462554705041640729*c_\ 0110_3^15 - 326749171327054037302161408/693540462554705041640729*c_\ 0110_3^13 - 86369084145941909645686784/693540462554705041640729*c_0\ 110_3^11 + 57533782152561161277394176/693540462554705041640729*c_01\ 10_3^9 + 2478322628961294500233280/693540462554705041640729*c_0110_\ 3^7 - 16782876701613013749754464/693540462554705041640729*c_0110_3^\ 5 - 508427631457227629036/693540462554705041640729*c_0110_3^3 + 197014596515908624702876/693540462554705041640729*c_0110_3, c_0110_3^24 - 5/2*c_0110_3^22 + 11/4*c_0110_3^20 - 37/16*c_0110_3^18 + 89/64*c_0110_3^16 - 167/512*c_0110_3^14 - 109/4096*c_0110_3^12 + 395/16384*c_0110_3^10 + 569/65536*c_0110_3^8 - 3675/262144*c_0110_3^6 - 969/1048576*c_0110_3^4 - 143/1048576*c_0110_3^2 + 1681/16777216 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB