Magma V2.19-8 Wed Aug 21 2013 01:08:02 on localhost [Seed = 2884481688] Type ? for help. Type -D to quit. Loading file "L14n38138__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38138 geometric_solution 11.97390467 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2310 1 0 0 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 1 -1 0 4 0 -5 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 0.664083097559 0.460222540331 0 4 6 5 0132 0132 0132 0132 1 0 1 0 0 1 0 -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 0 0 0 -3 0 3 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592548233632 0.374633879044 0 0 8 7 3201 0132 0132 0132 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 -1 1 0 -1 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 1.034720855503 1.417618039438 7 7 5 0 3201 0132 3201 0132 1 0 1 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 -1 0 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982733213859 0.704985725781 6 1 9 8 0213 0132 0132 3120 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 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363211335505 1.206964303876 3 6 1 10 2310 0213 0132 0132 1 0 0 1 0 -1 1 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 4 -3 -1 0 0 -4 4 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664083097559 0.460222540331 4 11 5 1 0213 0132 0213 0132 1 0 0 1 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 4 -4 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 0.516579358866 0.863149306176 12 3 2 3 0132 0132 0132 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328169440206 0.481952729509 4 11 12 2 3120 1230 2310 0132 1 0 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 1 0 -1 0 0 1 -1 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334598025204 1.860064204032 10 11 10 4 3120 0321 2310 0132 1 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 0 0 0 0 0 0 -4 0 4 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 0.214833972229 0.988309744712 12 9 5 9 2103 3201 0132 3120 1 0 1 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 1 -1 0 0 -4 4 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214833972229 0.988309744712 12 6 8 9 3201 0132 3012 0321 1 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 -4 4 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 0.628001214964 1.008337285852 7 8 10 11 0132 3201 2103 2310 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 -1 0 1 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 0.137742902755 0.720154626899 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : 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_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : negation(d['c_0101_9']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_0011_12'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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_11'], '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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(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_0011_11']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_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_12, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 14381803052747243736001303/2559453210852908911222784*c_1001_4^11 - 294764225190040933506518883/2559453210852908911222784*c_1001_4^10 + 946724245415536862609428587/2559453210852908911222784*c_1001_4^9 - 2410914972317331875635159191/1279726605426454455611392*c_1001_4^8 + 4864341660436962290069333837/2559453210852908911222784*c_1001_4^7 + 707158965151926818610640537/2559453210852908911222784*c_1001_4^6 + 63498460683934130022118647/2559453210852908911222784*c_1001_4^5 - 3998040251077502180142412943/2559453210852908911222784*c_1001_4^4 + 1017479313812183058043661069/1279726605426454455611392*c_1001_4^3 - 2435416609437267441649065633/2559453210852908911222784*c_1001_4^2 + 52478595767664430647133879/159965825678306806951424*c_1001_4 + 1573401793934939629971223557/2559453210852908911222784, c_0011_0 - 1, c_0011_10 - 61440651754739420/3033332556096533809*c_1001_4^11 + 1253728976625717555/3033332556096533809*c_1001_4^10 - 3956807031049198416/3033332556096533809*c_1001_4^9 + 20745413193664280871/3033332556096533809*c_1001_4^8 - 20286520086245947700/3033332556096533809*c_1001_4^7 + 3114847028709925208/3033332556096533809*c_1001_4^6 - 4576533012861556913/3033332556096533809*c_1001_4^5 + 17670650693863296491/3033332556096533809*c_1001_4^4 - 9037728809380275767/3033332556096533809*c_1001_4^3 + 14123468627343995968/3033332556096533809*c_1001_4^2 - 6601941644344837421/3033332556096533809*c_1001_4 - 535287964081938059/3033332556096533809, c_0011_11 - 86712017091975516/3033332556096533809*c_1001_4^11 + 1817453888996830501/3033332556096533809*c_1001_4^10 - 6575936709773452448/3033332556096533809*c_1001_4^9 + 32605956939517246096/3033332556096533809*c_1001_4^8 - 45682757062625791887/3033332556096533809*c_1001_4^7 + 24376498990197845721/3033332556096533809*c_1001_4^6 - 14483815610777471374/3033332556096533809*c_1001_4^5 + 30939555127592653195/3033332556096533809*c_1001_4^4 - 29284781527627792547/3033332556096533809*c_1001_4^3 + 29749707147672942153/3033332556096533809*c_1001_4^2 - 21179241631468222954/3033332556096533809*c_1001_4 + 5592386723586660737/3033332556096533809, c_0011_12 - 12641369444232447/3033332556096533809*c_1001_4^11 + 258630353639327287/3033332556096533809*c_1001_4^10 - 834656957493127030/3033332556096533809*c_1001_4^9 + 4449925642347046037/3033332556096533809*c_1001_4^8 - 4837582025471720390/3033332556096533809*c_1001_4^7 + 3018032944217331180/3033332556096533809*c_1001_4^6 - 2995121097235817166/3033332556096533809*c_1001_4^5 + 1687494291597678175/3033332556096533809*c_1001_4^4 - 1686343653180741017/3033332556096533809*c_1001_4^3 + 1906068742586863424/3033332556096533809*c_1001_4^2 - 837272076631187539/3033332556096533809*c_1001_4 + 1435859878575104609/3033332556096533809, c_0011_8 + 26142826903329906/3033332556096533809*c_1001_4^11 - 568322867871249986/3033332556096533809*c_1001_4^10 + 2430537486442221568/3033332556096533809*c_1001_4^9 - 11789518298879639296/3033332556096533809*c_1001_4^8 + 22547140929903998337/3033332556096533809*c_1001_4^7 - 24451234736575587841/3033332556096533809*c_1001_4^6 + 13420287524584222339/3033332556096533809*c_1001_4^5 - 11245013969702341414/3033332556096533809*c_1001_4^4 + 19832957438079289639/3033332556096533809*c_1001_4^3 - 20923229476086887192/3033332556096533809*c_1001_4^2 + 15576026876914685377/3033332556096533809*c_1001_4 - 12071258019160171109/3033332556096533809, c_0011_9 - 51248674811765774/3033332556096533809*c_1001_4^11 + 1040395114163022124/3033332556096533809*c_1001_4^10 - 3178010980100726758/3033332556096533809*c_1001_4^9 + 16706639832175350299/3033332556096533809*c_1001_4^8 - 14543979939092780247/3033332556096533809*c_1001_4^7 - 2835358176491455794/3033332556096533809*c_1001_4^6 - 3503115755220922219/3033332556096533809*c_1001_4^5 + 16051007794990019788/3033332556096533809*c_1001_4^4 - 4989505838126034901/3033332556096533809*c_1001_4^3 + 9219177084181372306/3033332556096533809*c_1001_4^2 - 2415521313609504753/3033332556096533809*c_1001_4 - 3596329499135081952/3033332556096533809, c_0101_0 - 12641369444232447/3033332556096533809*c_1001_4^11 + 258630353639327287/3033332556096533809*c_1001_4^10 - 834656957493127030/3033332556096533809*c_1001_4^9 + 4449925642347046037/3033332556096533809*c_1001_4^8 - 4837582025471720390/3033332556096533809*c_1001_4^7 + 3018032944217331180/3033332556096533809*c_1001_4^6 - 2995121097235817166/3033332556096533809*c_1001_4^5 + 1687494291597678175/3033332556096533809*c_1001_4^4 - 1686343653180741017/3033332556096533809*c_1001_4^3 + 1906068742586863424/3033332556096533809*c_1001_4^2 - 837272076631187539/3033332556096533809*c_1001_4 + 1435859878575104609/3033332556096533809, c_0101_1 - 1, c_0101_10 + 107957935481061073/24266660448772270472*c_1001_4^11 - 2220956209127003181/24266660448772270472*c_1001_4^10 + 7408279693593260917/24266660448772270472*c_1001_4^9 - 19694463640194996053/12133330224386135236*c_1001_4^8 + 47088683376815185059/24266660448772270472*c_1001_4^7 - 42025523691260955609/24266660448772270472*c_1001_4^6 + 37261782644224917553/24266660448772270472*c_1001_4^5 - 64343242938004659489/24266660448772270472*c_1001_4^4 + 25085783907715266099/12133330224386135236*c_1001_4^3 - 40444559042191301543/24266660448772270472*c_1001_4^2 + 3160846269702908561/3033332556096533809*c_1001_4 - 16638348723553445365/24266660448772270472, c_0101_11 + 1, c_0101_9 + 10191976942973646/3033332556096533809*c_1001_4^11 - 213333862462695431/3033332556096533809*c_1001_4^10 + 778796050948471658/3033332556096533809*c_1001_4^9 - 4038773361488930572/3033332556096533809*c_1001_4^8 + 5742540147153167453/3033332556096533809*c_1001_4^7 - 5950205205201381002/3033332556096533809*c_1001_4^6 + 1073417257640634694/3033332556096533809*c_1001_4^5 - 1619642898873276703/3033332556096533809*c_1001_4^4 + 4048222971254240866/3033332556096533809*c_1001_4^3 - 4904291543162623662/3033332556096533809*c_1001_4^2 + 1153087774638798859/3033332556096533809*c_1001_4 - 3061041535053143893/3033332556096533809, c_1001_0 - 12641369444232447/3033332556096533809*c_1001_4^11 + 258630353639327287/3033332556096533809*c_1001_4^10 - 834656957493127030/3033332556096533809*c_1001_4^9 + 4449925642347046037/3033332556096533809*c_1001_4^8 - 4837582025471720390/3033332556096533809*c_1001_4^7 + 3018032944217331180/3033332556096533809*c_1001_4^6 - 2995121097235817166/3033332556096533809*c_1001_4^5 + 1687494291597678175/3033332556096533809*c_1001_4^4 - 1686343653180741017/3033332556096533809*c_1001_4^3 + 1906068742586863424/3033332556096533809*c_1001_4^2 - 837272076631187539/3033332556096533809*c_1001_4 - 1597472677521429200/3033332556096533809, c_1001_4^12 - 21*c_1001_4^11 + 77*c_1001_4^10 - 386*c_1001_4^9 + 571*c_1001_4^8 - 433*c_1001_4^7 + 417*c_1001_4^6 - 457*c_1001_4^5 + 374*c_1001_4^4 - 519*c_1001_4^3 + 400*c_1001_4^2 - 189*c_1001_4 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.370 seconds, Total memory usage: 32.09MB