Magma V2.19-8 Wed Aug 21 2013 00:59:01 on localhost [Seed = 3634283447] Type ? for help. Type -D to quit. Loading file "L13n6177__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6177 geometric_solution 12.19029040 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 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 0 0 0 0 1 0 -1 7 0 -1 -6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638729537323 0.795358911168 0 2 6 5 0132 0213 0132 0132 1 0 0 1 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 -7 0 7 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757557931594 0.633338757560 7 0 1 8 0132 0132 0213 0132 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 0 1 6 0 -6 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 0.496453890626 0.490225745995 9 6 10 0 0132 0213 0132 0132 1 0 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 0 0 0 0 0 0 0 -1 0 0 1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081349246715 1.207441300265 7 6 0 7 3120 0132 0132 0321 1 0 1 1 0 0 0 0 1 0 -1 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 -6 0 6 0 -2 -1 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338957390932 1.003894792188 11 9 1 8 0132 2310 0132 0321 1 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 -1 1 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529842083992 1.334009506800 10 4 3 1 1302 0132 0213 0132 1 0 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 7 -7 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847524070168 0.885307156974 2 4 10 4 0132 0321 0321 3120 1 0 1 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 1 0 -1 -6 0 0 6 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457537933249 0.694841666961 12 5 2 12 0132 0321 0132 0321 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 -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 0.980143002529 1.007062623204 3 12 11 5 0132 3201 0132 3201 0 0 1 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 1 0 0 -1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529842083992 1.334009506800 12 6 7 3 3201 2031 0321 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 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 0.126097373380 0.710422093717 5 11 11 9 0132 3201 2310 0132 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 1 -1 0 0 0 0 0 6 1 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.257165696323 0.647478737689 8 8 9 10 0132 0321 2310 2310 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 0 0 0.503688732644 0.509942452825 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_4']), '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_0011_12'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_11'], 'c_1100_8' : d['c_1001_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_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_1001_1'], 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : negation(d['c_0101_3']), '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_0'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : negation(d['c_0011_12']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_10']), '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_3'], 'c_0110_8' : negation(d['c_0011_12']), '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_10']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_0']), '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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_1, c_1001_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4863267079/18579709768*c_1001_7^11 + 9202419385/4644927442*c_1001_7^10 + 74820227921/18579709768*c_1001_7^9 + 50092686651/9289854884*c_1001_7^8 + 289811561765/18579709768*c_1001_7^7 + 48455361637/18579709768*c_1001_7^6 + 647517517755/18579709768*c_1001_7^5 - 11928851831/2322463721*c_1001_7^4 + 232417149997/9289854884*c_1001_7^3 + 12660155503/2322463721*c_1001_7^2 - 8081177003/2322463721*c_1001_7 - 10355172038/2322463721, c_0011_0 - 1, c_0011_10 - 396494683/7923699754*c_1001_7^11 - 3282289341/7923699754*c_1001_7^10 - 4175067479/3961849877*c_1001_7^9 - 6700883833/3961849877*c_1001_7^8 - 15646390645/3961849877*c_1001_7^7 - 824267479/273231026*c_1001_7^6 - 65063383259/7923699754*c_1001_7^5 - 34366818125/7923699754*c_1001_7^4 - 29715130440/3961849877*c_1001_7^3 - 41465610339/7923699754*c_1001_7^2 - 13769190292/3961849877*c_1001_7 - 2579937197/3961849877, c_0011_11 + 15690331227/483345684994*c_1001_7^11 + 270046484537/966691369988*c_1001_7^10 + 185574036481/241672842497*c_1001_7^9 + 1277156770833/966691369988*c_1001_7^8 + 1481857913649/483345684994*c_1001_7^7 + 100401553315/33334185172*c_1001_7^6 + 5591272995499/966691369988*c_1001_7^5 + 5098100316217/966691369988*c_1001_7^4 + 994225059145/241672842497*c_1001_7^3 + 1581024366292/241672842497*c_1001_7^2 + 171580684393/241672842497*c_1001_7 + 158583236469/241672842497, c_0011_12 - 1250253597/33334185172*c_1001_7^11 - 2603278830/8333546293*c_1001_7^10 - 25956246109/33334185172*c_1001_7^9 - 9281020336/8333546293*c_1001_7^8 - 89931567229/33334185172*c_1001_7^7 - 70269836481/33334185172*c_1001_7^6 - 168155690035/33334185172*c_1001_7^5 - 32828949896/8333546293*c_1001_7^4 - 39645029081/16667092586*c_1001_7^3 - 85093491311/16667092586*c_1001_7^2 - 1897258409/8333546293*c_1001_7 - 1061085749/8333546293, c_0011_4 + 560872501/15847399508*c_1001_7^11 + 2252560141/7923699754*c_1001_7^10 + 10713959425/15847399508*c_1001_7^9 + 8296389793/7923699754*c_1001_7^8 + 42073889425/15847399508*c_1001_7^7 + 1002131731/546462052*c_1001_7^6 + 95527471181/15847399508*c_1001_7^5 + 21623092627/7923699754*c_1001_7^4 + 46157775795/7923699754*c_1001_7^3 + 26598481911/7923699754*c_1001_7^2 + 11911803249/3961849877*c_1001_7 + 899841945/3961849877, c_0101_0 - 1, c_0101_1 + 420023813/7923699754*c_1001_7^11 + 6488264143/15847399508*c_1001_7^10 + 6950723247/7923699754*c_1001_7^9 + 19215118289/15847399508*c_1001_7^8 + 13198204051/3961849877*c_1001_7^7 + 654157423/546462052*c_1001_7^6 + 119862164707/15847399508*c_1001_7^5 + 9083181215/15847399508*c_1001_7^4 + 25969970852/3961849877*c_1001_7^3 + 15289134199/7923699754*c_1001_7^2 + 6007197802/3961849877*c_1001_7 - 3537482295/3961849877, c_0101_10 - 46172918379/966691369988*c_1001_7^11 - 368048162317/966691369988*c_1001_7^10 - 861624513593/966691369988*c_1001_7^9 - 1329746162905/966691369988*c_1001_7^8 - 3414178559759/966691369988*c_1001_7^7 - 18693314564/8333546293*c_1001_7^6 - 3800543403483/483345684994*c_1001_7^5 - 2713902689165/966691369988*c_1001_7^4 - 3340913481635/483345684994*c_1001_7^3 - 1858089189831/483345684994*c_1001_7^2 - 616823642292/241672842497*c_1001_7 - 185550074132/241672842497, c_0101_3 + 232116865/15847399508*c_1001_7^11 + 514864600/3961849877*c_1001_7^10 + 5986310491/15847399508*c_1001_7^9 + 5105377873/7923699754*c_1001_7^8 + 20511673155/15847399508*c_1001_7^7 + 646403227/546462052*c_1001_7^6 + 34599295337/15847399508*c_1001_7^5 + 6371862749/3961849877*c_1001_7^4 + 13272485085/7923699754*c_1001_7^3 + 3471714337/3961849877*c_1001_7^2 + 1857387043/3961849877*c_1001_7 - 2281754625/3961849877, c_1001_0 - 396494683/7923699754*c_1001_7^11 - 3282289341/7923699754*c_1001_7^10 - 4175067479/3961849877*c_1001_7^9 - 6700883833/3961849877*c_1001_7^8 - 15646390645/3961849877*c_1001_7^7 - 824267479/273231026*c_1001_7^6 - 65063383259/7923699754*c_1001_7^5 - 34366818125/7923699754*c_1001_7^4 - 29715130440/3961849877*c_1001_7^3 - 41465610339/7923699754*c_1001_7^2 - 13769190292/3961849877*c_1001_7 - 2579937197/3961849877, c_1001_1 - 86802747/7923699754*c_1001_7^11 - 1709786501/15847399508*c_1001_7^10 - 2906338887/7923699754*c_1001_7^9 - 10699777173/15847399508*c_1001_7^8 - 5082439989/3961849877*c_1001_7^7 - 969671367/546462052*c_1001_7^6 - 37762791029/15847399508*c_1001_7^5 - 56390614431/15847399508*c_1001_7^4 - 21994291071/7923699754*c_1001_7^3 - 14169598506/3961849877*c_1001_7^2 - 7966058542/3961849877*c_1001_7 - 4531440760/3961849877, c_1001_12 - 232116865/15847399508*c_1001_7^11 - 514864600/3961849877*c_1001_7^10 - 5986310491/15847399508*c_1001_7^9 - 5105377873/7923699754*c_1001_7^8 - 20511673155/15847399508*c_1001_7^7 - 646403227/546462052*c_1001_7^6 - 34599295337/15847399508*c_1001_7^5 - 6371862749/3961849877*c_1001_7^4 - 13272485085/7923699754*c_1001_7^3 - 3471714337/3961849877*c_1001_7^2 - 1857387043/3961849877*c_1001_7 + 2281754625/3961849877, c_1001_7^12 + 8*c_1001_7^11 + 19*c_1001_7^10 + 30*c_1001_7^9 + 75*c_1001_7^8 + 47*c_1001_7^7 + 165*c_1001_7^6 + 52*c_1001_7^5 + 154*c_1001_7^4 + 68*c_1001_7^3 + 64*c_1001_7^2 - 8*c_1001_7 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB