Magma V2.19-8 Wed Aug 21 2013 00:58:14 on localhost [Seed = 1360481216] Type ? for help. Type -D to quit. Loading file "L13n4850__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4850 geometric_solution 12.57952659 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 1 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 0 0 0 0 1 0 -1 -3 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159914257512 0.875181303161 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 0 -1 1 -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 3 -3 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 0.332368403252 0.828130754879 7 0 0 8 0132 0132 0321 0132 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 0 0 0 0 0 0 0 -1 0 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 0.159914257512 0.875181303161 9 5 0 5 0132 2031 0132 2103 0 1 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 2 0 -2 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 0.599370768218 0.839518892871 7 1 10 8 1023 0132 0132 3120 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089302872171 1.049536006803 3 11 1 3 1302 0132 0132 2103 1 1 0 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 -1 3 -2 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 0.436701350361 0.788993864526 10 12 9 1 0321 0132 3120 0132 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 3 0 -3 -3 0 0 3 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300733961462 1.632234477036 2 4 10 9 0132 1023 3120 0321 1 1 1 1 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 0 0 0 0 0 0 3 -3 0 0 -2 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909108656977 0.990078519112 4 11 2 11 3120 3201 0132 3120 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 -1 -1 2 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 0.674415417415 1.327487228024 3 7 6 12 0132 0321 3120 0213 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 3 0 -3 -2 0 0 2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.004955338364 1.204385990500 6 12 7 4 0321 3012 3120 0132 1 1 1 1 0 0 0 0 1 0 -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 -2 0 2 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 0.477272762685 0.816964607208 8 5 8 12 3120 0132 2310 3012 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674415417415 1.327487228024 10 6 11 9 1230 0132 1230 0213 1 1 1 1 0 1 0 -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 -3 0 3 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574463249440 0.911227229400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_4' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], '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' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_0101_12']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_11'], 's_1_7' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0110_11'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0110_11'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_11'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_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_3, c_0011_8, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_9, c_0110_11, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 12623176221495917/37841432635*c_0110_5^13 + 994008192200324/7568286527*c_0110_5^12 + 33832879782209854/37841432635*c_0110_5^11 - 5669817019184624/37841432635*c_0110_5^10 - 9435755694680854/7568286527*c_0110_5^9 + 830834052332317/7568286527*c_0110_5^8 + 44596872114100052/37841432635*c_0110_5^7 - 4951776368098853/37841432635*c_0110_5^6 - 31530002858442059/37841432635*c_0110_5^5 + 12356097893157153/37841432635*c_0110_5^4 + 12370177857875608/37841432635*c_0110_5^3 - 1873053236886230/7568286527*c_0110_5^2 - 1508250247176182/37841432635*c_0110_5 + 2004752496755441/37841432635, c_0011_0 - 1, c_0011_10 + 12495563663/23711458*c_0110_5^13 - 4634864329/23711458*c_0110_5^12 - 33693943231/23711458*c_0110_5^11 + 5041078405/23711458*c_0110_5^10 + 46969368491/23711458*c_0110_5^9 - 3421128373/23711458*c_0110_5^8 - 22226814002/11855729*c_0110_5^7 + 2171180781/11855729*c_0110_5^6 + 15756198288/11855729*c_0110_5^5 - 11902887357/23711458*c_0110_5^4 - 6316682780/11855729*c_0110_5^3 + 4639683674/11855729*c_0110_5^2 + 814229854/11855729*c_0110_5 - 2013888319/23711458, c_0011_11 + 32667118/24751*c_0110_5^13 - 12475811/24751*c_0110_5^12 - 88212154/24751*c_0110_5^11 + 14121189/24751*c_0110_5^10 + 123255782/24751*c_0110_5^9 - 10005089/24751*c_0110_5^8 - 116832323/24751*c_0110_5^7 + 12225613/24751*c_0110_5^6 + 82821612/24751*c_0110_5^5 - 31676943/24751*c_0110_5^4 - 33037869/24751*c_0110_5^3 + 24576752/24751*c_0110_5^2 + 4118645/24751*c_0110_5 - 5338825/24751, c_0011_12 - 11117029693/11855729*c_0110_5^13 + 4053486559/11855729*c_0110_5^12 + 29966192060/11855729*c_0110_5^11 - 4310852275/11855729*c_0110_5^10 - 41717164566/11855729*c_0110_5^9 + 2835442929/11855729*c_0110_5^8 + 39455215910/11855729*c_0110_5^7 - 3700643605/11855729*c_0110_5^6 - 27971032154/11855729*c_0110_5^5 + 10475322761/11855729*c_0110_5^4 + 11243255996/11855729*c_0110_5^3 - 8214681860/11855729*c_0110_5^2 - 1452215994/11855729*c_0110_5 + 1790916638/11855729, c_0011_3 - 22152771509/23711458*c_0110_5^13 + 8467787025/23711458*c_0110_5^12 + 59809561879/23711458*c_0110_5^11 - 9527283403/23711458*c_0110_5^10 - 83570007631/23711458*c_0110_5^9 + 6691602111/23711458*c_0110_5^8 + 39574146353/11855729*c_0110_5^7 - 4101819131/11855729*c_0110_5^6 - 28037144004/11855729*c_0110_5^5 + 21442954981/23711458*c_0110_5^4 + 11166607033/11855729*c_0110_5^3 - 8330571099/11855729*c_0110_5^2 - 1401981283/11855729*c_0110_5 + 3618636569/23711458, c_0011_8 + 35994855193/23711458*c_0110_5^13 - 13460783609/23711458*c_0110_5^12 - 96958905085/23711458*c_0110_5^11 + 14792573267/23711458*c_0110_5^10 + 135127581343/23711458*c_0110_5^9 - 10212150955/23711458*c_0110_5^8 - 63921627577/11855729*c_0110_5^7 + 6430535899/11855729*c_0110_5^6 + 45278532945/11855729*c_0110_5^5 - 34550409925/23711458*c_0110_5^4 - 18092437202/11855729*c_0110_5^3 + 13415584008/11855729*c_0110_5^2 + 2286003998/11855729*c_0110_5 - 5821596283/23711458, c_0101_10 - 9724344993/23711458*c_0110_5^13 + 3563249821/23711458*c_0110_5^12 + 26162105585/23711458*c_0110_5^11 - 3808952715/23711458*c_0110_5^10 - 36419348403/23711458*c_0110_5^9 + 2522234579/23711458*c_0110_5^8 + 17230881509/11855729*c_0110_5^7 - 1604995642/11855729*c_0110_5^6 - 12201538958/11855729*c_0110_5^5 + 9106903141/23711458*c_0110_5^4 + 4878225653/11855729*c_0110_5^3 - 3556399653/11855729*c_0110_5^2 - 621807384/11855729*c_0110_5 + 1548100599/23711458, c_0101_11 + 1, c_0101_12 - 8429990679/23711458*c_0110_5^13 + 3623941509/23711458*c_0110_5^12 + 22710762231/23711458*c_0110_5^11 - 4628724605/23711458*c_0110_5^10 - 31902401473/23711458*c_0110_5^9 + 3826093731/23711458*c_0110_5^8 + 15168164291/11855729*c_0110_5^7 - 2138023153/11855729*c_0110_5^6 - 10762024515/11855729*c_0110_5^5 + 8936960279/23711458*c_0110_5^4 + 4196452294/11855729*c_0110_5^3 - 3320006322/11855729*c_0110_5^2 - 484099538/11855729*c_0110_5 + 1408329189/23711458, c_0101_7 - 40065828297/23711458*c_0110_5^13 + 14868075455/23711458*c_0110_5^12 + 108087349839/23711458*c_0110_5^11 - 16101385555/23711458*c_0110_5^10 - 150736029785/23711458*c_0110_5^9 + 10723047091/23711458*c_0110_5^8 + 71322333498/11855729*c_0110_5^7 - 6793014110/11855729*c_0110_5^6 - 50533401274/11855729*c_0110_5^5 + 37862547873/23711458*c_0110_5^4 + 20238480739/11855729*c_0110_5^3 - 14808955060/11855729*c_0110_5^2 - 2596472982/11855729*c_0110_5 + 6446310593/23711458, c_0101_9 - 3400356146/11855729*c_0110_5^13 + 1377552805/11855729*c_0110_5^12 + 9166884502/11855729*c_0110_5^11 - 1650185310/11855729*c_0110_5^10 - 12864559081/11855729*c_0110_5^9 + 1254671647/11855729*c_0110_5^8 + 12239377089/11855729*c_0110_5^7 - 1426998300/11855729*c_0110_5^6 - 8690802852/11855729*c_0110_5^5 + 3370726665/11855729*c_0110_5^4 + 3433941122/11855729*c_0110_5^3 - 2555838228/11855729*c_0110_5^2 - 418779705/11855729*c_0110_5 + 554295402/11855729, c_0110_11 + 8002322955/11855729*c_0110_5^13 - 3019122723/11855729*c_0110_5^12 - 21544739108/11855729*c_0110_5^11 + 3312014570/11855729*c_0110_5^10 + 30021384523/11855729*c_0110_5^9 - 2271213689/11855729*c_0110_5^8 - 28386060867/11855729*c_0110_5^7 + 2837941186/11855729*c_0110_5^6 + 20101060219/11855729*c_0110_5^5 - 7634673461/11855729*c_0110_5^4 - 7996791313/11855729*c_0110_5^3 + 5912191520/11855729*c_0110_5^2 + 1009268794/11855729*c_0110_5 - 1273576533/11855729, c_0110_5^14 + 2/11*c_0110_5^13 - 32/11*c_0110_5^12 - 12/11*c_0110_5^11 + 4*c_0110_5^10 + 20/11*c_0110_5^9 - 41/11*c_0110_5^8 - 18/11*c_0110_5^7 + 30/11*c_0110_5^6 + 5/11*c_0110_5^5 - 17/11*c_0110_5^4 + 2/11*c_0110_5^3 + 6/11*c_0110_5^2 - 1/11*c_0110_5 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.170 Total time: 1.379 seconds, Total memory usage: 32.09MB