Magma V2.19-8 Wed Aug 21 2013 01:02:46 on localhost [Seed = 964633311] Type ? for help. Type -D to quit. Loading file "L14n15768__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15768 geometric_solution 12.16575198 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 1 -1 1 0 -1 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 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 0.660735529787 0.831040662511 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 1 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 1 0 -1 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 0.432628352270 0.326587741626 8 0 10 9 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -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 -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 0.527607804201 1.111497292054 6 8 11 0 0132 0132 0132 0132 1 1 0 1 0 1 0 -1 0 0 -1 1 0 -1 0 1 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 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 0.643632476855 0.321582624095 10 11 0 12 0132 3201 0132 0132 1 1 1 1 0 0 1 -1 -1 0 0 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 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 0.660735529787 0.831040662511 9 1 8 12 1023 0132 1023 2031 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943902801100 0.767279774676 3 9 1 10 0132 1023 0132 0132 1 1 1 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 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 0.660735529787 0.831040662511 8 11 9 1 3120 3120 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 -1 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 -0.013418841605 1.081066485553 2 3 5 7 0132 0132 1023 3120 1 1 1 0 0 -1 0 1 0 0 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125764660733 0.884302082901 6 5 2 7 1023 1023 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 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 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660735529787 0.831040662511 4 12 6 2 0132 2310 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -1 0 -1 0 1 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527607804201 1.111497292054 12 7 4 3 0132 3120 2310 0132 1 1 1 1 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 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 0.593864738258 0.697972063315 11 5 4 10 0132 1302 0132 3201 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440202512632 0.931191893618 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_5']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_2_12' : negation(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' : negation(d['c_0101_7']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_1'], '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_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_0110_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 11256987861685825574596479130/2063658244885572711947304133*c_1100_1\ ^11 + 91281172007506277047105821139/10318291224427863559736520665*c\ _1100_1^10 - 175943824389112718675092460534/10318291224427863559736\ 520665*c_1100_1^9 - 249199798159368200528238109694/1031829122442786\ 3559736520665*c_1100_1^8 - 224007256286322165772828577516/103182912\ 24427863559736520665*c_1100_1^7 + 10768075506821521191617203337/103\ 18291224427863559736520665*c_1100_1^6 + 38155079927018850311280624546/2063658244885572711947304133*c_1100_1\ ^5 + 700112020637503451402785882559/10318291224427863559736520665*c\ _1100_1^4 + 134332527492376756328487951896/206365824488557271194730\ 4133*c_1100_1^3 + 143035175653703695318956701853/206365824488557271\ 1947304133*c_1100_1^2 + 5653116632019489675966182210/10861359183608\ 2774313016007*c_1100_1 + 4668277397236023744034631101/2399602610332\ 06129296198155, c_0011_0 - 1, c_0011_10 - 1598123279859226550/3218208056243289737*c_1100_1^11 + 2310059500297243807/3218208056243289737*c_1100_1^10 - 195063357203713270/3218208056243289737*c_1100_1^9 + 1871154065246281932/3218208056243289737*c_1100_1^8 + 1724831648514600379/3218208056243289737*c_1100_1^7 + 970088396483426124/3218208056243289737*c_1100_1^6 - 6781207660507964212/3218208056243289737*c_1100_1^5 - 2638969490109814812/3218208056243289737*c_1100_1^4 - 4968599562357895376/3218208056243289737*c_1100_1^3 - 8743022221502160893/3218208056243289737*c_1100_1^2 + 519288468362599420/3218208056243289737*c_1100_1 - 2456533907884369848/3218208056243289737, c_0011_11 - 889629121083043900/3218208056243289737*c_1100_1^11 + 4198206223983254166/3218208056243289737*c_1100_1^10 - 4512642958830415774/3218208056243289737*c_1100_1^9 + 1271776861786651553/3218208056243289737*c_1100_1^8 - 5964862216814889240/3218208056243289737*c_1100_1^7 + 5280132831650717858/3218208056243289737*c_1100_1^6 - 4147447753109780681/3218208056243289737*c_1100_1^5 + 12382508835691323813/3218208056243289737*c_1100_1^4 - 2569432342717847663/3218208056243289737*c_1100_1^3 + 4754399456515219053/3218208056243289737*c_1100_1^2 - 2102875431006071195/3218208056243289737*c_1100_1 - 1414225599475313058/3218208056243289737, c_0011_7 - 1121773483209668650/3218208056243289737*c_1100_1^11 + 3240357519852078331/3218208056243289737*c_1100_1^10 - 3867666605705295455/3218208056243289737*c_1100_1^9 + 5791032859785818068/3218208056243289737*c_1100_1^8 - 6177524138149141979/3218208056243289737*c_1100_1^7 + 4901775627988370774/3218208056243289737*c_1100_1^6 - 11077375734277032975/3218208056243289737*c_1100_1^5 + 8956656883923430510/3218208056243289737*c_1100_1^4 - 9000623394636668869/3218208056243289737*c_1100_1^3 + 9536196229010936310/3218208056243289737*c_1100_1^2 - 1277761350761436465/3218208056243289737*c_1100_1 + 4381846602594009463/3218208056243289737, c_0101_0 + 11073735622722800/3218208056243289737*c_1100_1^11 + 710436712366047668/3218208056243289737*c_1100_1^10 + 1017817057373977722/3218208056243289737*c_1100_1^9 - 2690806399046726280/3218208056243289737*c_1100_1^8 - 1549715099107069718/3218208056243289737*c_1100_1^7 - 2653391468878691559/3218208056243289737*c_1100_1^6 + 814814394103460457/3218208056243289737*c_1100_1^5 + 2324509672966890818/3218208056243289737*c_1100_1^4 + 8031359317287020980/3218208056243289737*c_1100_1^3 + 5530521703294072003/3218208056243289737*c_1100_1^2 + 5368089053255094366/3218208056243289737*c_1100_1 + 3181117304962607811/3218208056243289737, c_0101_1 - 1, c_0101_10 + 262481995632375750/3218208056243289737*c_1100_1^11 - 2714032049281196855/3218208056243289737*c_1100_1^10 + 2833438979688285346/3218208056243289737*c_1100_1^9 + 1040797320164288636/3218208056243289737*c_1100_1^8 + 3186607593496025130/3218208056243289737*c_1100_1^7 - 1001931756841785133/3218208056243289737*c_1100_1^6 + 2980512111276287646/3218208056243289737*c_1100_1^5 - 11146336142670215613/3218208056243289737*c_1100_1^4 - 4080776356455104170/3218208056243289737*c_1100_1^3 - 6920799146434638413/3218208056243289737*c_1100_1^2 - 4416174912893703976/3218208056243289737*c_1100_1 - 1701944550220604812/3218208056243289737, c_0101_11 + 3132331621202919400/3218208056243289737*c_1100_1^11 - 2373236994040418686/3218208056243289737*c_1100_1^10 - 2433520460617496509/3218208056243289737*c_1100_1^9 - 7865333413474891485/3218208056243289737*c_1100_1^8 + 348100876752660351/3218208056243289737*c_1100_1^7 - 2238829521512449946/3218208056243289737*c_1100_1^6 + 15535525024306299907/3218208056243289737*c_1100_1^5 + 10749906338101876240/3218208056243289737*c_1100_1^4 + 16501940613010167821/3218208056243289737*c_1100_1^3 + 6323245304831844179/3218208056243289737*c_1100_1^2 + 7942851249217979819/3218208056243289737*c_1100_1 + 1842275692875611137/3218208056243289737, c_0101_5 - 1322323596940805800/3218208056243289737*c_1100_1^11 + 2321303012691540302/3218208056243289737*c_1100_1^10 - 1018422377159392985/3218208056243289737*c_1100_1^9 + 1629196907489641070/3218208056243289737*c_1100_1^8 + 383321502452937690/3218208056243289737*c_1100_1^7 + 2308064273096008653/3218208056243289737*c_1100_1^6 - 6085192853317508727/3218208056243289737*c_1100_1^5 + 576565371448003574/3218208056243289737*c_1100_1^4 - 3943783340132643473/3218208056243289737*c_1100_1^3 - 4597895123339465648/3218208056243289737*c_1100_1^2 + 1977769167884284927/3218208056243289737*c_1100_1 - 455876534769116914/3218208056243289737, c_0101_7 + 1140395639076522400/3218208056243289737*c_1100_1^11 + 269876631248075494/3218208056243289737*c_1100_1^10 - 1043484482458655089/3218208056243289737*c_1100_1^9 - 6172810121102988679/3218208056243289737*c_1100_1^8 - 1344491262609790713/3218208056243289737*c_1100_1^7 - 612616428078561713/3218208056243289737*c_1100_1^6 + 7144885373846047483/3218208056243289737*c_1100_1^5 + 9272794831781168132/3218208056243289737*c_1100_1^4 + 12144263765636948750/3218208056243289737*c_1100_1^3 + 1715247533572011299/3218208056243289737*c_1100_1^2 + 3866407687959652474/3218208056243289737*c_1100_1 + 1558600421166943062/3218208056243289737, c_0101_8 + 508806402367255450/3218208056243289737*c_1100_1^11 - 2000134494493688523/3218208056243289737*c_1100_1^10 - 896744052582873635/3218208056243289737*c_1100_1^9 + 3040889313544526337/3218208056243289737*c_1100_1^8 + 4685473932525106706/3218208056243289737*c_1100_1^7 + 2395954631094770109/3218208056243289737*c_1100_1^6 + 132763924334277306/3218208056243289737*c_1100_1^5 - 7490732371316905234/3218208056243289737*c_1100_1^4 - 12074841242699420561/3218208056243289737*c_1100_1^3 - 6311509366671211025/3218208056243289737*c_1100_1^2 - 4415450774556183976/3218208056243289737*c_1100_1 - 1802758326448704655/3218208056243289737, c_0110_5 - 2170541348895375900/3218208056243289737*c_1100_1^11 + 3558065195628469446/3218208056243289737*c_1100_1^10 - 1034832945802425372/3218208056243289737*c_1100_1^9 + 5770220688393021494/3218208056243289737*c_1100_1^8 - 4157310141307248877/3218208056243289737*c_1100_1^7 + 3554516675363902735/3218208056243289737*c_1100_1^6 - 13367242082214793599/3218208056243289737*c_1100_1^5 + 711395785668109289/3218208056243289737*c_1100_1^4 - 8993823773937395532/3218208056243289737*c_1100_1^3 + 3548023662530904252/3218208056243289737*c_1100_1^2 - 4784494155002340622/3218208056243289737*c_1100_1 + 2186934766323605811/3218208056243289737, c_1100_1^12 - 47/50*c_1100_1^11 - 9/50*c_1100_1^10 - 61/25*c_1100_1^9 - 18/25*c_1100_1^8 - 57/50*c_1100_1^7 + 237/50*c_1100_1^6 + 79/25*c_1100_1^5 + 152/25*c_1100_1^4 + 21/5*c_1100_1^3 + 13/5*c_1100_1^2 + 43/25*c_1100_1 + 43/50 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB