Magma V2.19-8 Wed Aug 21 2013 00:57:05 on localhost [Seed = 3886153012] Type ? for help. Type -D to quit. Loading file "L13n3742__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3742 geometric_solution 12.32611840 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 1 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 5 -6 1 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664679375068 0.558885154202 0 2 6 5 0132 1230 0132 0132 1 1 1 1 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 -5 5 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.034022102448 1.194797817362 4 0 1 7 1230 0132 3012 0132 1 1 1 1 0 -1 0 1 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 -5 0 5 0 0 5 -5 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906101294918 0.711412007381 6 8 9 0 2310 0132 0132 0132 1 1 1 1 0 -1 0 1 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 -6 0 6 0 0 0 0 0 6 0 -6 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558405874094 0.725627360304 10 2 0 6 0132 3012 0132 2031 1 1 1 1 0 1 0 -1 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 6 -1 -5 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596219991900 0.682431018637 10 6 1 8 3012 3012 0132 2310 1 1 1 1 0 1 0 -1 1 0 0 -1 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 6 0 -6 6 0 0 -6 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265001413886 0.637715034083 5 4 3 1 1230 1302 3201 0132 1 1 1 1 0 0 1 -1 0 0 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 5 -5 0 0 0 0 -5 5 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.082024633452 0.632765489209 11 11 2 9 0132 1230 0132 0132 1 1 0 1 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 5 -5 0 -5 0 5 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 0.485176950844 0.964003817184 5 3 11 10 3201 0132 1230 3201 1 1 1 1 0 1 0 -1 0 0 -1 1 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 6 0 -6 0 0 -5 5 6 0 0 -6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.301389460915 1.614456650462 12 12 7 3 0132 1302 0132 0132 1 1 1 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 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712596492071 0.782628327203 4 8 12 5 0132 2310 0321 1230 1 1 1 1 0 1 0 -1 0 0 0 0 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 6 0 -6 0 0 0 0 0 -5 0 5 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232291918872 0.993569101287 7 12 7 8 0132 0132 3012 3012 1 1 1 0 0 0 0 0 1 0 -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 0 0 0 0 0 5 0 -5 0 0 -5 0 5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583431839079 0.827684201704 9 11 10 9 0132 0132 0321 2031 1 1 0 1 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 1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413466050814 1.125909165255 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0101_0'], 's_0_10' : 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' : 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' : negation(d['c_0011_10']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : negation(d['c_1001_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_1001_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_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0011_5'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_8, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1119546108004714546042/8589775257801021141*c_1001_10^11 - 9729935826878406265297/17179550515602042282*c_1001_10^10 - 7894662841632060131464/2863258419267007047*c_1001_10^9 - 27722177148567907552297/5726516838534014094*c_1001_10^8 - 155919949800709013791451/17179550515602042282*c_1001_10^7 + 1790026826208902393960/660751942907770857*c_1001_10^6 + 64070244553328958151717/5726516838534014094*c_1001_10^5 + 287809326093117528349217/17179550515602042282*c_1001_10^4 - 195821946643791472180873/8589775257801021141*c_1001_10^3 + 29042114590450926174787/1908838946178004698*c_1001_10^2 - 48775656136559984952935/17179550515602042282*c_1001_10 + 4994158020535970269322/8589775257801021141, c_0011_0 - 1, c_0011_10 - 302942629/20945465314*c_1001_10^11 - 13228692203/136145524541*c_1001_10^10 - 63363744069/136145524541*c_1001_10^9 - 353024070131/272291049082*c_1001_10^8 - 51254040049/20945465314*c_1001_10^7 - 302479321251/136145524541*c_1001_10^6 + 471966904709/272291049082*c_1001_10^5 + 1616308738667/272291049082*c_1001_10^4 + 419515625780/136145524541*c_1001_10^3 - 987793811845/272291049082*c_1001_10^2 + 254690696435/272291049082*c_1001_10 + 331804294779/272291049082, c_0011_11 + 1, c_0011_3 + 21003048873/136145524541*c_1001_10^11 + 99556280046/136145524541*c_1001_10^10 + 474127808943/136145524541*c_1001_10^9 + 926952555298/136145524541*c_1001_10^8 + 1632226004978/136145524541*c_1001_10^7 - 122515840556/136145524541*c_1001_10^6 - 2468322342777/136145524541*c_1001_10^5 - 3389928040302/136145524541*c_1001_10^4 + 3149530231424/136145524541*c_1001_10^3 - 87397261473/136145524541*c_1001_10^2 - 1377067951938/136145524541*c_1001_10 + 415219220317/136145524541, c_0011_5 + 14807981674/136145524541*c_1001_10^11 + 77695887551/136145524541*c_1001_10^10 + 373916091271/136145524541*c_1001_10^9 + 844111097334/136145524541*c_1001_10^8 + 1584920092754/136145524541*c_1001_10^7 + 729208396037/136145524541*c_1001_10^6 - 1331226134231/136145524541*c_1001_10^5 - 3033146207776/136145524541*c_1001_10^4 + 769011770769/136145524541*c_1001_10^3 + 350801756072/136145524541*c_1001_10^2 - 715783328304/136145524541*c_1001_10 - 281843938/136145524541, c_0011_6 + 15489495815/272291049082*c_1001_10^11 + 37832931663/136145524541*c_1001_10^10 + 179324118310/136145524541*c_1001_10^9 + 725974052075/272291049082*c_1001_10^8 + 1262706073119/272291049082*c_1001_10^7 - 1979068534/136145524541*c_1001_10^6 - 1999894809899/272291049082*c_1001_10^5 - 2842490079303/272291049082*c_1001_10^4 + 1065625490859/136145524541*c_1001_10^3 + 626488983519/272291049082*c_1001_10^2 - 925072985453/272291049082*c_1001_10 + 304101363521/272291049082, c_0101_0 - 14807981674/136145524541*c_1001_10^11 - 77695887551/136145524541*c_1001_10^10 - 373916091271/136145524541*c_1001_10^9 - 844111097334/136145524541*c_1001_10^8 - 1584920092754/136145524541*c_1001_10^7 - 729208396037/136145524541*c_1001_10^6 + 1331226134231/136145524541*c_1001_10^5 + 3033146207776/136145524541*c_1001_10^4 - 769011770769/136145524541*c_1001_10^3 - 350801756072/136145524541*c_1001_10^2 + 851928852845/136145524541*c_1001_10 + 136427368479/136145524541, c_0101_10 + 1402020779/10472732657*c_1001_10^11 + 87257298717/136145524541*c_1001_10^10 + 416914375428/136145524541*c_1001_10^9 + 831360970495/136145524541*c_1001_10^8 + 114657763853/10472732657*c_1001_10^7 + 44491508426/136145524541*c_1001_10^6 - 1987353095882/136145524541*c_1001_10^5 - 2952143924043/136145524541*c_1001_10^4 + 2512088632979/136145524541*c_1001_10^3 - 150687320009/136145524541*c_1001_10^2 - 1226830726759/136145524541*c_1001_10 + 396891108125/136145524541, c_0101_11 + 15689899219/272291049082*c_1001_10^11 + 85209344859/272291049082*c_1001_10^10 + 410149027141/272291049082*c_1001_10^9 + 478250285441/136145524541*c_1001_10^8 + 1788440525019/272291049082*c_1001_10^7 + 888247008143/272291049082*c_1001_10^6 - 853275956040/136145524541*c_1001_10^5 - 4161820471737/272291049082*c_1001_10^4 - 12376660621/20945465314*c_1001_10^3 + 451429078809/136145524541*c_1001_10^2 + 177141150883/272291049082*c_1001_10 - 64171244335/136145524541, c_0101_8 - 4177768341/136145524541*c_1001_10^11 - 10597336565/136145524541*c_1001_10^10 - 47439690889/136145524541*c_1001_10^9 + 41094818261/136145524541*c_1001_10^8 + 164844733175/136145524541*c_1001_10^7 + 930884150077/136145524541*c_1001_10^6 + 776137738654/136145524541*c_1001_10^5 - 20900627852/10472732657*c_1001_10^4 - 2522125049648/136145524541*c_1001_10^3 + 627425694145/136145524541*c_1001_10^2 + 414614346105/136145524541*c_1001_10 - 618411158464/136145524541, c_1001_0 + 3106984187/20945465314*c_1001_10^11 + 100485990920/136145524541*c_1001_10^10 + 480278119497/136145524541*c_1001_10^9 + 2015746011121/272291049082*c_1001_10^8 + 280569567755/20945465314*c_1001_10^7 + 346970829677/136145524541*c_1001_10^6 - 4446673096473/272291049082*c_1001_10^5 - 7520596586753/272291049082*c_1001_10^4 + 2092573007199/136145524541*c_1001_10^3 + 686419171827/272291049082*c_1001_10^2 - 2436061100871/272291049082*c_1001_10 + 461977921471/272291049082, c_1001_1 + 31231266663/272291049082*c_1001_10^11 + 76766176677/136145524541*c_1001_10^10 + 367765780717/136145524541*c_1001_10^9 + 1526381294143/272291049082*c_1001_10^8 + 2786887814649/272291049082*c_1001_10^7 + 259721725804/136145524541*c_1001_10^6 - 3152423857543/272291049082*c_1001_10^5 - 5325551909403/272291049082*c_1001_10^4 + 1825968994994/136145524541*c_1001_10^3 - 159610182629/272291049082*c_1001_10^2 - 2021932508695/272291049082*c_1001_10 + 367896831287/272291049082, c_1001_10^12 + 5*c_1001_10^11 + 24*c_1001_10^10 + 51*c_1001_10^9 + 94*c_1001_10^8 + 25*c_1001_10^7 - 99*c_1001_10^6 - 184*c_1001_10^5 + 91*c_1001_10^4 - 3*c_1001_10^3 - 56*c_1001_10^2 + 10*c_1001_10 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.410 Total time: 7.620 seconds, Total memory usage: 64.12MB