Magma V2.19-8 Wed Aug 21 2013 00:44:37 on localhost [Seed = 2766320426] Type ? for help. Type -D to quit. Loading file "K14n6084__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6084 geometric_solution 12.12477636 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116993691020 0.872707885989 0 5 2 5 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060335855750 0.854182063270 3 0 1 6 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 -1 0 1 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 0.268059651231 1.334828938823 2 7 8 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713484207557 0.561524701645 9 9 0 10 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216914679793 0.756566404538 7 1 11 1 0132 0132 0132 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746418510848 0.767076494581 9 12 2 11 2310 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 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 0.085299449064 0.646779166946 5 3 12 8 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876357549919 0.486684696817 7 10 10 3 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816641243978 1.491489496350 4 12 6 4 0132 1230 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660488517375 0.638121300368 8 11 4 8 1023 3012 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 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 -0.228204102228 0.906350788303 10 12 6 5 1230 1023 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 -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 0.477488642577 1.131834515284 11 6 9 7 1023 0132 3012 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 -1 0 1 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 0.111686658436 0.898950324419 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_4'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0101_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_4'], 'c_0101_11' : negation(d['c_0101_10']), '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1100_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_1100_1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1100_1']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_8'], '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'], 'c_1100_12' : d['c_0101_3'], '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_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0101_10']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_1001_0, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 8582599/25682400*c_1100_1^3 - 4675157/1712160*c_1100_1^2 - 1744900873/25682400*c_1100_1 + 532267403/25682400, c_0011_0 - 1, c_0011_10 - 1/60*c_1100_1^3 - 1/8*c_1100_1^2 - 101/30*c_1100_1 + 529/120, c_0011_11 + 29/1080*c_1100_1^3 + 2/9*c_1100_1^2 + 5873/1080*c_1100_1 - 689/540, c_0011_4 - 23/2160*c_1100_1^3 - 13/144*c_1100_1^2 - 4481/2160*c_1100_1 + 1051/2160, c_0101_0 - 1/216*c_1100_1^3 - 1/18*c_1100_1^2 - 169/216*c_1100_1 + 61/108, c_0101_1 + 1/180*c_1100_1^3 + 1/24*c_1100_1^2 + 58/45*c_1100_1 - 109/360, c_0101_10 - 59/2160*c_1100_1^3 - 31/144*c_1100_1^2 - 11753/2160*c_1100_1 + 1933/2160, c_0101_3 + 1/2160*c_1100_1^3 - 1/144*c_1100_1^2 + 7/2160*c_1100_1 - 1337/2160, c_0101_7 + 7/1080*c_1100_1^3 + 1/36*c_1100_1^2 + 1399/1080*c_1100_1 - 208/135, c_0101_8 - 17/1080*c_1100_1^3 - 5/36*c_1100_1^2 - 3629/1080*c_1100_1 + 23/135, c_1001_0 + 13/2160*c_1100_1^3 + 5/144*c_1100_1^2 + 2791/2160*c_1100_1 + 169/2160, c_1100_0 + 1/1080*c_1100_1^3 - 1/72*c_1100_1^2 + 7/1080*c_1100_1 - 257/1080, c_1100_1^4 + 8*c_1100_1^3 + 202*c_1100_1^2 - 96*c_1100_1 + 29 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_1001_0, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1121/3995040*c_1100_1^3 - 5063/1331680*c_1100_1^2 + 167/6888*c_1100_1 - 11917/249690, c_0011_0 - 1, c_0011_10 - 1/16*c_1100_1^3 + 3/4*c_1100_1^2 - 9/2*c_1100_1 + 7, c_0011_11 - 5/112*c_1100_1^3 + 29/56*c_1100_1^2 - 20/7*c_1100_1 + 15/7, c_0011_4 + 1/56*c_1100_1^3 - 13/56*c_1100_1^2 + 8/7*c_1100_1 - 6/7, c_0101_0 - 3/112*c_1100_1^3 + 2/7*c_1100_1^2 - 17/14*c_1100_1 + 9/7, c_0101_1 + 3/112*c_1100_1^3 - 2/7*c_1100_1^2 + 12/7*c_1100_1 - 9/7, c_0101_10 + 5/112*c_1100_1^3 - 29/56*c_1100_1^2 + 20/7*c_1100_1 - 8/7, c_0101_3 - 1/112*c_1100_1^3 + 3/56*c_1100_1^2 - 1/14*c_1100_1 - 4/7, c_0101_7 + 1/112*c_1100_1^3 - 5/28*c_1100_1^2 + 11/7*c_1100_1 - 17/7, c_0101_8 - 9/112*c_1100_1^3 + 6/7*c_1100_1^2 - 65/14*c_1100_1 + 20/7, c_1001_0 + 1/56*c_1100_1^3 - 13/56*c_1100_1^2 + 23/14*c_1100_1 - 6/7, c_1100_0 - 1/112*c_1100_1^3 + 3/56*c_1100_1^2 - 1/14*c_1100_1 - 11/7, c_1100_1^4 - 12*c_1100_1^3 + 72*c_1100_1^2 - 96*c_1100_1 + 64 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_1001_0, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 96532211621382665348306305358407704724881750/9125473214653404320889\ 405935582932900987*c_1100_1^10 + 4362833251893958711184533109639966\ 403788565/48799322003494140753419283077983598401*c_1100_1^9 - 3570056305347219791313078930896307692442929143/91254732146534043208\ 89405935582932900987*c_1100_1^8 + 692687431197548304512103811233840\ 4572618913453/9125473214653404320889405935582932900987*c_1100_1^7 - 3247093791893790801040661896967486541971227644/91254732146534043208\ 89405935582932900987*c_1100_1^6 - 421040439689157615020365545052861\ 525342350663/701959478050261870837646610429456376999*c_1100_1^5 - 24660963608365291202786159003732479058184747319/9125473214653404320\ 889405935582932900987*c_1100_1^4 + 95836695886297406811711777022790960149054624717/9125473214653404320\ 889405935582932900987*c_1100_1^3 - 106490812377273425684852677092782483193656878155/912547321465340432\ 0889405935582932900987*c_1100_1^2 + 59793316984698415885308289684725207768729872879/9125473214653404320\ 889405935582932900987*c_1100_1 - 9706975497246211317429144665097228\ 4849989243873/9125473214653404320889405935582932900987, c_0011_0 - 1, c_0011_10 - 4261019347593230600157008275/894934157219534897336325370066\ 7*c_1100_1^10 + 3732947476231687963078746129/8135765065632135430330\ 23063697*c_1100_1^9 - 191739995395026666540636883711/89493415721953\ 48973363253700667*c_1100_1^8 + 410380282545666573413843349459/89493\ 41572195348973363253700667*c_1100_1^7 - 185667809000108240033568418263/8949341572195348973363253700667*c_11\ 00_1^6 - 578029532379766169096392905941/894934157219534897336325370\ 0667*c_1100_1^5 - 1472219589072809542059090043973/89493415721953489\ 73363253700667*c_1100_1^4 + 5893105444961215425100626986125/8949341\ 572195348973363253700667*c_1100_1^3 - 2643849899416291259768028793692/8949341572195348973363253700667*c_1\ 100_1^2 + 3781249011290687360535085028653/8949341572195348973363253\ 700667*c_1100_1 - 1969251839302486101857404088645/89493415721953489\ 73363253700667, c_0011_11 + 11393175758414103769794961675/89493415721953489733632537006\ 67*c_1100_1^10 - 8275333727465259544049072128/813576506563213543033\ 023063697*c_1100_1^9 + 368514430230378673878614449672/8949341572195\ 348973363253700667*c_1100_1^8 - 592473580157770987726760505172/8949\ 341572195348973363253700667*c_1100_1^7 - 111130461647527702247612337612/8949341572195348973363253700667*c_11\ 00_1^6 + 808369524270138699312521832363/894934157219534897336325370\ 0667*c_1100_1^5 + 3066892157579795119698137289085/89493415721953489\ 73363253700667*c_1100_1^4 - 10616773741210128480317184462462/894934\ 1572195348973363253700667*c_1100_1^3 + 8103087938579777247578118973565/8949341572195348973363253700667*c_1\ 100_1^2 - 1734591368721883153260139781330/8949341572195348973363253\ 700667*c_1100_1 + 4052107573195338160682395537901/89493415721953489\ 73363253700667, c_0011_4 + 4178276832914477630818375275/8949341572195348973363253700667\ *c_1100_1^10 - 3056185559478836702020252474/81357650656321354303302\ 3063697*c_1100_1^9 + 153842057506760709968932499987/894934157219534\ 8973363253700667*c_1100_1^8 - 284428089097191446201156484258/894934\ 1572195348973363253700667*c_1100_1^7 + 119854628491926847607997408306/8949341572195348973363253700667*c_11\ 00_1^6 + 673008274989013034854315985967/894934157219534897336325370\ 0667*c_1100_1^5 + 793179597270331825937434088308/894934157219534897\ 3363253700667*c_1100_1^4 - 4712424263423018293101346776161/89493415\ 72195348973363253700667*c_1100_1^3 + 6439114436532598134365510627946/8949341572195348973363253700667*c_1\ 100_1^2 + 1026026571415688637810472744176/8949341572195348973363253\ 700667*c_1100_1 + 1898776784146194667457197423299/89493415721953489\ 73363253700667, c_0101_0 + 10946348921439940488230774700/894934157219534897336325370066\ 7*c_1100_1^10 - 7619156001640480348685449717/8135765065632135430330\ 23063697*c_1100_1^9 + 334535722839075614017458676793/89493415721953\ 48973363253700667*c_1100_1^8 - 497016546877431730191723856334/89493\ 41572195348973363253700667*c_1100_1^7 - 101936731369431750726831634271/8949341572195348973363253700667*c_11\ 00_1^6 + 562506435810818009853244159282/894934157219534897336325370\ 0667*c_1100_1^5 + 3386350619096491727356151846563/89493415721953489\ 73363253700667*c_1100_1^4 - 8051732033780855253994729365196/8949341\ 572195348973363253700667*c_1100_1^3 + 3382408487710219820974211248927/8949341572195348973363253700667*c_1\ 100_1^2 - 4531643932887213102699293180520/8949341572195348973363253\ 700667*c_1100_1 + 9984801739549937157845703589207/89493415721953489\ 73363253700667, c_0101_1 + 2639544335714328566974421225/8949341572195348973363253700667\ *c_1100_1^10 - 2267085286224253355137796841/81357650656321354303302\ 3063697*c_1100_1^9 + 123786571152219599739320216025/894934157219534\ 8973363253700667*c_1100_1^8 - 313074283057222870057274965113/894934\ 1572195348973363253700667*c_1100_1^7 + 383778556359319356430977699015/8949341572195348973363253700667*c_11\ 00_1^6 - 115592198699423420367981183425/894934157219534897336325370\ 0667*c_1100_1^5 + 784960789358951561871910323644/894934157219534897\ 3363253700667*c_1100_1^4 - 4048440518137616212230119701010/89493415\ 72195348973363253700667*c_1100_1^3 + 7353311818833013422208393468794/8949341572195348973363253700667*c_1\ 100_1^2 - 10212868861787645047174360482079/894934157219534897336325\ 3700667*c_1100_1 + 6793327361074463083781616648661/8949341572195348\ 973363253700667, c_0101_10 - 12507771204286012867876985500/89493415721953489733632537006\ 67*c_1100_1^10 + 8627856314269920111848180055/813576506563213543033\ 023063697*c_1100_1^9 - 390717548325785106443235692494/8949341572195\ 348973363253700667*c_1100_1^8 + 643371520288457715212735896594/8949\ 341572195348973363253700667*c_1100_1^7 - 105431708299582906349317519472/8949341572195348973363253700667*c_11\ 00_1^6 - 743459277783916459652116154844/894934157219534897336325370\ 0667*c_1100_1^5 - 2332371031215935161180125203854/89493415721953489\ 73363253700667*c_1100_1^4 + 9625381324535734395565786090311/8949341\ 572195348973363253700667*c_1100_1^3 - 10859595566548496697223728457743/8949341572195348973363253700667*c_\ 1100_1^2 + 5047247987792891245382877970541/894934157219534897336325\ 3700667*c_1100_1 - 3745269374823016515259827753658/8949341572195348\ 973363253700667, c_0101_3 - 10166448492556180272925100025/894934157219534897336325370066\ 7*c_1100_1^10 + 7106728128504389982174974184/8135765065632135430330\ 23063697*c_1100_1^9 - 316010235862427006657882020540/89493415721953\ 48973363253700667*c_1100_1^8 + 496562211801018147179994141889/89493\ 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