Magma V2.19-8 Wed Aug 21 2013 00:58:55 on localhost [Seed = 1141006129] Type ? for help. Type -D to quit. Loading file "L13n6065__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6065 geometric_solution 12.30293681 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 0 1 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 -1 0 1 0 0 0 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382655970011 0.576389226023 0 5 7 6 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617161573898 1.043994830818 8 0 9 6 0132 0132 0132 2031 1 0 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 0 -2 0 2 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519295664563 1.072742377141 8 10 5 0 1302 0132 1302 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200551833124 1.204197363333 7 9 0 11 0132 3201 0132 0132 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 -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 1.241778664901 0.917905151633 3 1 12 9 2031 0132 0132 2310 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 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 0.519295664563 1.072742377141 11 2 1 12 0132 1302 0132 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 1 0 -1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382104999035 0.850880851002 4 8 10 1 0132 2310 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 -2 2 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 0.557627110637 0.381574118785 2 3 12 7 0132 2031 3012 3201 1 0 0 1 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 2 -2 0 0 0 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617161573898 1.043994830818 5 10 4 2 3201 0321 2310 0132 1 0 0 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 0 0 0 0 0 0 0 0 0 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521762632375 0.535341280831 7 3 11 9 2103 0132 3012 0321 1 1 0 1 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.268342777803 1.018754976790 6 10 4 12 0132 1230 0132 1230 1 1 1 1 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 -1 1 -1 0 0 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555846716469 0.790441537178 11 8 6 5 3012 1230 0132 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 1 0 -1 -1 0 1 0 -1 0 0 1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558780265023 0.769476086850 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : negation(d['c_1001_11']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_9']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_10'], 'c_0101_11' : 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_0011_4'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_1001_11']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : negation(d['c_0011_10']), '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_9'], '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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_12'], 'c_0101_9' : d['c_0101_9'], '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_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_12'], 'c_1100_9' : d['c_0011_4'], 'c_0110_3' : d['c_0011_12'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : 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_12, c_0011_4, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 64/55*c_1001_11 + 64/55, c_0011_0 - 1, c_0011_10 - 1/2*c_0101_5 + 1/2*c_1001_11, c_0011_11 + c_0101_5 - c_1001_11 - 2, c_0011_12 - 1, c_0011_4 - 1/2*c_0101_5*c_1001_11 + 1/2, c_0011_9 - 1/2*c_0101_5*c_1001_11 + 1/2*c_1001_11, c_0101_1 - 1/2*c_0101_5 + 1, c_0101_10 + c_1001_11 + 2, c_0101_2 + 1/2*c_1001_11, c_0101_5^2 - c_0101_5*c_1001_11 - 2*c_0101_5 + 2*c_1001_11 + 5, c_0101_8 + c_1001_11, c_0101_9 - 1/2, c_1001_11^2 + c_1001_11 - 1 ], 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_4, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_0101_9, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 34985007222022252428525573/289938761397637290902300*c_1001_11^9 + 6845830626506819746491497/57987752279527458180460*c_1001_11^8 + 272479951875053204623819749/289938761397637290902300*c_1001_11^7 - 1395303006948760810949463559/289938761397637290902300*c_1001_11^6 - 1079181667246590327737222837/289938761397637290902300*c_1001_11^5 + 65629647174489537335491993/14496938069881864545115*c_1001_11^4 + 5808611482007115763807849207/289938761397637290902300*c_1001_11^3 - 136344426793376723373414202/72484690349409322725575*c_1001_11^2 - 3113208668005883925410450393/289938761397637290902300*c_1001_11 - 3355950899616671096729791571/289938761397637290902300, c_0011_0 - 1, c_0011_10 - 15678045478989569083/313447309619067341516*c_1001_11^9 - 40569395359858660009/313447309619067341516*c_1001_11^8 - 94194864848920795679/156723654809533670758*c_1001_11^7 + 155297565705774428515/156723654809533670758*c_1001_11^6 + 236929974282933804023/78361827404766835379*c_1001_11^5 + 206512542712104795585/78361827404766835379*c_1001_11^4 - 1140488818521095426909/313447309619067341516*c_1001_11^3 - 1426313749978917225685/313447309619067341516*c_1001_11^2 - 466546702907431236103/156723654809533670758*c_1001_11 - 207446918777736091891/313447309619067341516, c_0011_11 - 5139466299932788133/78361827404766835379*c_1001_11^9 - 13388435451410301482/78361827404766835379*c_1001_11^8 - 61151841803814511012/78361827404766835379*c_1001_11^7 + 102679975908704228956/78361827404766835379*c_1001_11^6 + 321779852508367523196/78361827404766835379*c_1001_11^5 + 256342369221586063878/78361827404766835379*c_1001_11^4 - 421871624302209141876/78361827404766835379*c_1001_11^3 - 514758449124691677603/78361827404766835379*c_1001_11^2 - 257175456056939436800/78361827404766835379*c_1001_11 + 27689622462985203937/78361827404766835379, c_0011_12 - 1, c_0011_4 - 9949580693157395311/313447309619067341516*c_1001_11^9 - 21745738880031549231/313447309619067341516*c_1001_11^8 - 54196615823091788201/156723654809533670758*c_1001_11^7 + 123419063664648946069/156723654809533670758*c_1001_11^6 + 264511326408952461967/156723654809533670758*c_1001_11^5 + 126420595791305097385/156723654809533670758*c_1001_11^4 - 1000033308484274998067/313447309619067341516*c_1001_11^3 - 648520592906031500161/313447309619067341516*c_1001_11^2 + 34490536066639553721/156723654809533670758*c_1001_11 + 171039893545246055241/313447309619067341516, c_0011_9 + 9949580693157395311/313447309619067341516*c_1001_11^9 + 21745738880031549231/313447309619067341516*c_1001_11^8 + 54196615823091788201/156723654809533670758*c_1001_11^7 - 123419063664648946069/156723654809533670758*c_1001_11^6 - 264511326408952461967/156723654809533670758*c_1001_11^5 - 126420595791305097385/156723654809533670758*c_1001_11^4 + 1000033308484274998067/313447309619067341516*c_1001_11^3 + 648520592906031500161/313447309619067341516*c_1001_11^2 - 34490536066639553721/156723654809533670758*c_1001_11 - 171039893545246055241/313447309619067341516, c_0101_1 + 15678045478989569083/313447309619067341516*c_1001_11^9 + 40569395359858660009/313447309619067341516*c_1001_11^8 + 94194864848920795679/156723654809533670758*c_1001_11^7 - 155297565705774428515/156723654809533670758*c_1001_11^6 - 236929974282933804023/78361827404766835379*c_1001_11^5 - 206512542712104795585/78361827404766835379*c_1001_11^4 + 1140488818521095426909/313447309619067341516*c_1001_11^3 + 1426313749978917225685/313447309619067341516*c_1001_11^2 + 466546702907431236103/156723654809533670758*c_1001_11 + 207446918777736091891/313447309619067341516, c_0101_10 - 3819431779552402565/78361827404766835379*c_1001_11^9 - 7765549642345310542/78361827404766835379*c_1001_11^8 - 41859698901317717508/78361827404766835379*c_1001_11^7 + 98006618773710756736/78361827404766835379*c_1001_11^6 + 172127897556746667433/78361827404766835379*c_1001_11^5 + 104805659008552403741/78361827404766835379*c_1001_11^4 - 333191107311968237402/78361827404766835379*c_1001_11^3 - 159392963252743650248/78361827404766835379*c_1001_11^2 - 120143103160413355207/78361827404766835379*c_1001_11 + 42464813343489340398/78361827404766835379, c_0101_2 - 7178056707537907409/78361827404766835379*c_1001_11^9 - 13797815219007471164/78361827404766835379*c_1001_11^8 - 298011163963360698085/313447309619067341516*c_1001_11^7 + 199140604779924298173/78361827404766835379*c_1001_11^6 + 668648680662916965855/156723654809533670758*c_1001_11^5 + 225001608197560907615/156723654809533670758*c_1001_11^4 - 1531627803233522436629/156723654809533670758*c_1001_11^3 - 341427710148140665619/78361827404766835379*c_1001_11^2 - 11353257532021078352/78361827404766835379*c_1001_11 + 759059665374535381915/313447309619067341516, c_0101_5 - 5139466299932788133/78361827404766835379*c_1001_11^9 - 13388435451410301482/78361827404766835379*c_1001_11^8 - 61151841803814511012/78361827404766835379*c_1001_11^7 + 102679975908704228956/78361827404766835379*c_1001_11^6 + 321779852508367523196/78361827404766835379*c_1001_11^5 + 256342369221586063878/78361827404766835379*c_1001_11^4 - 421871624302209141876/78361827404766835379*c_1001_11^3 - 514758449124691677603/78361827404766835379*c_1001_11^2 - 257175456056939436800/78361827404766835379*c_1001_11 + 27689622462985203937/78361827404766835379, c_0101_8 + 4909446983785937745/156723654809533670758*c_1001_11^9 + 8920570546670765413/78361827404766835379*c_1001_11^8 + 70945132054949850223/156723654809533670758*c_1001_11^7 - 39880379721779648021/156723654809533670758*c_1001_11^6 - 209602043466848591388/78361827404766835379*c_1001_11^5 - 277187337410391741746/78361827404766835379*c_1001_11^4 + 163257973602378323519/156723654809533670758*c_1001_11^3 + 513428161917136899482/78361827404766835379*c_1001_11^2 + 699019917472026141437/156723654809533670758*c_1001_11 + 180102009434779783457/156723654809533670758, c_0101_9 - 8677978766675094615/313447309619067341516*c_1001_11^9 - 17719004059266980455/313447309619067341516*c_1001_11^8 - 48104595430231421513/156723654809533670758*c_1001_11^7 + 113324887946374518867/156723654809533670758*c_1001_11^6 + 99451675973580656948/78361827404766835379*c_1001_11^5 + 175073001651047238209/156723654809533670758*c_1001_11^4 - 832006309787632093719/313447309619067341516*c_1001_11^3 - 571469478667929029179/313447309619067341516*c_1001_11^2 - 130694019279549608673/78361827404766835379*c_1001_11 + 124518457989058799059/313447309619067341516, c_1001_11^10 + 20/19*c_1001_11^9 + 157/19*c_1001_11^8 - 38*c_1001_11^7 - 526/19*c_1001_11^6 + 630/19*c_1001_11^5 + 2891/19*c_1001_11^4 - 504/19*c_1001_11^3 - 1469/19*c_1001_11^2 - 1523/19*c_1001_11 + 185/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB