Magma V2.19-8 Wed Aug 21 2013 00:56:34 on localhost [Seed = 1932880318] Type ? for help. Type -D to quit. Loading file "L13n2694__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2694 geometric_solution 12.10494663 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 -1 1 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 0.210859343279 0.480362447664 0 5 7 6 0132 0132 0132 0132 0 1 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 0 0 0 0 0 -2 0 2 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 1.018835011541 1.194567140648 8 0 9 8 0132 0132 0132 2103 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 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 0 0.460985409414 0.851222764925 6 10 11 0 3120 0132 0132 0132 1 1 1 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 0 1 -1 0 0 0 0 13 -12 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542332722490 1.397273876584 9 4 0 4 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614479862301 0.978242023649 12 1 11 10 0132 0132 2310 2310 0 1 1 1 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 2 -1 -1 0 0 -12 12 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.993316541945 0.847512503185 8 12 1 3 2103 0213 0132 3120 0 1 1 1 0 0 1 -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 0 -2 2 -1 0 1 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.279473964420 0.758131893381 9 12 11 1 2031 0321 2103 0132 0 1 1 1 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 1 0 0 -1 0 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433693337691 0.696705925919 2 10 6 2 0132 3201 2103 2103 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 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 0.460985409414 0.851222764925 11 4 7 2 2310 1023 1302 0132 1 1 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 0 0 0 0 -1 1 12 0 -13 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 1.032689576643 0.887027053238 5 3 8 12 3201 0132 2310 3201 1 1 0 1 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 1 -1 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581330390104 0.489413797507 7 5 9 3 2103 3201 3201 0132 1 1 0 1 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 1 0 -1 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256316949245 0.651411486608 5 10 6 7 0132 2310 0213 0321 0 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 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.993316541945 0.847512503185 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : negation(d['c_0110_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : negation(d['c_1001_12']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), '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_10'], 'c_1100_8' : negation(d['c_0101_0']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_11' : negation(d['c_0011_4']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0110_10']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : negation(d['c_1001_0']), '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_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' : 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' : d['c_0011_4'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0101_12' : d['c_0011_6'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : d['c_0101_0'], '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' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0']})} 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_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_10, c_0110_4, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 4903072636665431300147584/1369347376014339825*c_1001_12^18 - 8810214199092386602593472/1369347376014339825*c_1001_12^17 - 18987175909765731218323456/1369347376014339825*c_1001_12^16 + 4959413001871107194402864/273869475202867965*c_1001_12^15 + 43150230325683710497711112/1369347376014339825*c_1001_12^14 - 25319730036328890819271708/1369347376014339825*c_1001_12^13 - 20889101729046861869816/504363674406755*c_1001_12^12 + 6866897343976448069066732/1369347376014339825*c_1001_12^11 + 8478893469562281227898997/273869475202867965*c_1001_12^10 + 3500069449126323479088197/912898250676226550*c_1001_12^9 - 19412994114820634647428623/1369347376014339825*c_1001_12^8 - 2444948508114767243575001/706759936007401200*c_1001_12^7 + 208405564293018801286631761/43819116032458874400*c_1001_12^6 + 141946590627377578227272189/87638232064917748800*c_1001_12^5 - 644117169141941157409661/547738950405735930*c_1001_12^4 - 525989635162641965466515/876382320649177488*c_1001_12^3 + 1576618634001983925441/14724165333487525*c_1001_12^2 + 30879697005708835298873/273869475202867965*c_1001_12 + 8717826552255585425193/456449125338113275, c_0011_0 - 1, c_0011_10 - 46458094074984448/3253959189721*c_1001_12^18 + 146537147572015616/3253959189721*c_1001_12^17 + 43317181294119168/3253959189721*c_1001_12^16 - 428626529538462976/3253959189721*c_1001_12^15 - 17990014757458112/3253959189721*c_1001_12^14 + 650570330178360928/3253959189721*c_1001_12^13 + 55283612333703760/3253959189721*c_1001_12^12 - 616400711776148352/3253959189721*c_1001_12^11 - 98878666002671200/3253959189721*c_1001_12^10 + 386709648188317708/3253959189721*c_1001_12^9 + 79285679977779766/3253959189721*c_1001_12^8 - 171566584683368501/3253959189721*c_1001_12^7 - 148864629888406793/13015836758884*c_1001_12^6 + 455186686480485811/26031673517768*c_1001_12^5 + 208441385714589377/52063347035536*c_1001_12^4 - 105359679305915613/26031673517768*c_1001_12^3 - 14043814551717555/13015836758884*c_1001_12^2 + 1636356807567556/3253959189721*c_1001_12 + 557322742365198/3253959189721, c_0011_4 + 29083265246276740864/5053398621636713*c_1001_12^18 - 92309251557658812288/5053398621636713*c_1001_12^17 - 47975605662961635840/5053398621636713*c_1001_12^16 + 330072496426333681248/5053398621636713*c_1001_12^15 + 43339444870196882512/5053398621636713*c_1001_12^14 - 568618385873183863192/5053398621636713*c_1001_12^13 - 88850174263625323184/5053398621636713*c_1001_12^12 + 593365415114250563640/5053398621636713*c_1001_12^11 + 142180007937860017834/5053398621636713*c_1001_12^10 - 398294661976937316661/5053398621636713*c_1001_12^9 - 117033022284009355954/5053398621636713*c_1001_12^8 + 1478642937347470594037/40427188973093704*c_1001_12^7 + 903551511837225100229/80854377946187408*c_1001_12^6 - 2063136379431025463871/161708755892374816*c_1001_12^5 - 158414040286527099737/40427188973093704*c_1001_12^4 + 127122487458879685421/40427188973093704*c_1001_12^3 + 10435667509342800155/10106797243273426*c_1001_12^2 - 4296461692817678281/10106797243273426*c_1001_12 - 837423154213754783/5053398621636713, c_0011_6 + 206197027922889709056/5053398621636713*c_1001_12^18 - 649540177631663133952/5053398621636713*c_1001_12^17 - 196623096316346244864/5053398621636713*c_1001_12^16 + 1907800879601502917568/5053398621636713*c_1001_12^15 + 85249488025332586208/5053398621636713*c_1001_12^14 - 2898963786169323941200/5053398621636713*c_1001_12^13 - 250666101297651311440/5053398621636713*c_1001_12^12 + 2748717157502121038768/5053398621636713*c_1001_12^11 + 442891255144425058612/5053398621636713*c_1001_12^10 - 1725462768039590557070/5053398621636713*c_1001_12^9 - 353916625231341475590/5053398621636713*c_1001_12^8 + 3063646207313864409313/20213594486546852*c_1001_12^7 + 1326308888167870158843/40427188973093704*c_1001_12^6 - 4065710045258751774785/80854377946187408*c_1001_12^5 - 926745877408226909399/80854377946187408*c_1001_12^4 + 470664202164730267919/40427188973093704*c_1001_12^3 + 62342203505453503703/20213594486546852*c_1001_12^2 - 7313939885525777456/5053398621636713*c_1001_12 - 2476436499540728346/5053398621636713, c_0011_7 + 206197027922889709056/5053398621636713*c_1001_12^18 - 649540177631663133952/5053398621636713*c_1001_12^17 - 196623096316346244864/5053398621636713*c_1001_12^16 + 1907800879601502917568/5053398621636713*c_1001_12^15 + 85249488025332586208/5053398621636713*c_1001_12^14 - 2898963786169323941200/5053398621636713*c_1001_12^13 - 250666101297651311440/5053398621636713*c_1001_12^12 + 2748717157502121038768/5053398621636713*c_1001_12^11 + 442891255144425058612/5053398621636713*c_1001_12^10 - 1725462768039590557070/5053398621636713*c_1001_12^9 - 353916625231341475590/5053398621636713*c_1001_12^8 + 3063646207313864409313/20213594486546852*c_1001_12^7 + 1326308888167870158843/40427188973093704*c_1001_12^6 - 4065710045258751774785/80854377946187408*c_1001_12^5 - 926745877408226909399/80854377946187408*c_1001_12^4 + 470664202164730267919/40427188973093704*c_1001_12^3 + 62342203505453503703/20213594486546852*c_1001_12^2 - 7313939885525777456/5053398621636713*c_1001_12 - 2476436499540728346/5053398621636713, c_0101_0 + 77212406664468032256/5053398621636713*c_1001_12^18 - 244753256829763271040/5053398621636713*c_1001_12^17 - 72829263935358907904/5053398621636713*c_1001_12^16 + 726379715114209712352/5053398621636713*c_1001_12^15 + 25379832080526812176/5053398621636713*c_1001_12^14 - 1115075822729594281912/5053398621636713*c_1001_12^13 - 84115824612074100656/5053398621636713*c_1001_12^12 + 1067076049105432143704/5053398621636713*c_1001_12^11 + 161716661174970443650/5053398621636713*c_1001_12^10 - 675320360660243504625/5053398621636713*c_1001_12^9 - 132676989765687148402/5053398621636713*c_1001_12^8 + 2411370504871073698049/40427188973093704*c_1001_12^7 + 1001053570806292830561/80854377946187408*c_1001_12^6 - 3215152579033755945939/161708755892374816*c_1001_12^5 - 175603752652867017819/40427188973093704*c_1001_12^4 + 187173274503773043461/40427188973093704*c_1001_12^3 + 11926048755339485315/10106797243273426*c_1001_12^2 - 5873142970249923505/10106797243273426*c_1001_12 - 965933202436434939/5053398621636713, c_0101_1 - 101971899835912179968/5053398621636713*c_1001_12^18 + 316302228631404366464/5053398621636713*c_1001_12^17 + 92758266889301027584/5053398621636713*c_1001_12^16 - 888361997506605184672/5053398621636713*c_1001_12^15 - 44853623668294879600/5053398621636713*c_1001_12^14 + 1294452413612832786248/5053398621636713*c_1001_12^13 + 111745300358630932192/5053398621636713*c_1001_12^12 - 1176420322848278631368/5053398621636713*c_1001_12^11 - 174042517419549410102/5053398621636713*c_1001_12^10 + 714433085251032101095/5053398621636713*c_1001_12^9 + 127470527203277362620/5053398621636713*c_1001_12^8 - 2479738055335622628595/40427188973093704*c_1001_12^7 - 907220366071493112655/80854377946187408*c_1001_12^6 + 3200572585553726340701/161708755892374816*c_1001_12^5 + 308196748137992461363/80854377946187408*c_1001_12^4 - 22253370454396681286/5053398621636713*c_1001_12^3 - 5126768823156761892/5053398621636713*c_1001_12^2 + 5191302231051034535/10106797243273426*c_1001_12 + 782399418535060977/5053398621636713, c_0101_11 - 41862519650628783616/5053398621636713*c_1001_12^18 + 138703922140759681280/5053398621636713*c_1001_12^17 + 38726503656008595200/5053398621636713*c_1001_12^16 - 446726969699788685504/5053398621636713*c_1001_12^15 + 7739823051257949600/5053398621636713*c_1001_12^14 + 730193799680399834896/5053398621636713*c_1001_12^13 + 24605483670717472976/5053398621636713*c_1001_12^12 - 740620736460375605008/5053398621636713*c_1001_12^11 - 96208062566726857092/5053398621636713*c_1001_12^10 + 489097658480983241574/5053398621636713*c_1001_12^9 + 93265052726339477638/5053398621636713*c_1001_12^8 - 896146719790843595109/20213594486546852*c_1001_12^7 - 373901974458731557575/40427188973093704*c_1001_12^6 + 1227741957564009634109/80854377946187408*c_1001_12^5 + 272952002606025583671/80854377946187408*c_1001_12^4 - 37026987829366979997/10106797243273426*c_1001_12^3 - 19252069596638587575/20213594486546852*c_1001_12^2 + 2452500492563907121/5053398621636713*c_1001_12 + 831412579010616965/5053398621636713, c_0101_3 - 10199567046261504/3253959189721*c_1001_12^18 + 20345025248762240/3253959189721*c_1001_12^17 + 41194399557949952/3253959189721*c_1001_12^16 - 73914509715917536/3253959189721*c_1001_12^15 - 87719036111628304/3253959189721*c_1001_12^14 + 108733201732541112/3253959189721*c_1001_12^13 + 119466111772421104/3253959189721*c_1001_12^12 - 87673814003075928/3253959189721*c_1001_12^11 - 101417852654035618/3253959189721*c_1001_12^10 + 46014918691460529/3253959189721*c_1001_12^9 + 56245151930638634/3253959189721*c_1001_12^8 - 150051633779268593/26031673517768*c_1001_12^7 - 358604974367326081/52063347035536*c_1001_12^6 + 188026937121141619/104126694071072*c_1001_12^5 + 52302390921983437/26031673517768*c_1001_12^4 - 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279326933378712304437/80854377946187408*c_1001_12^4 + 143417038240556373941/40427188973093704*c_1001_12^3 + 18722115507818777873/20213594486546852*c_1001_12^2 - 2231415641220948520/5053398621636713*c_1001_12 - 745392061754423358/5053398621636713, c_1001_12^19 - 5/2*c_1001_12^18 - 3*c_1001_12^17 + 69/8*c_1001_12^16 + 103/16*c_1001_12^15 - 441/32*c_1001_12^14 - 83/8*c_1001_12^13 + 401/32*c_1001_12^12 + 1387/128*c_1001_12^11 - 1783/256*c_1001_12^10 - 459/64*c_1001_12^9 + 5315/2048*c_1001_12^8 + 13215/4096*c_1001_12^7 - 5805/8192*c_1001_12^6 - 4443/4096*c_1001_12^5 + 105/1024*c_1001_12^4 + 67/256*c_1001_12^3 + 7/512*c_1001_12^2 - 9/256*c_1001_12 - 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.550 seconds, Total memory usage: 32.09MB