Magma V2.19-8 Tue Aug 20 2013 23:57:46 on localhost [Seed = 2917909866] Type ? for help. Type -D to quit. Loading file "L14n35151__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n35151 geometric_solution 10.26709685 oriented_manifold CS_known -0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 -9 0 9 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.765515017147 0.913197844423 0 4 2 5 0132 2031 1302 0132 0 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 -1 6 -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 0 0 0 0.674384449782 0.505088767625 1 0 7 6 2031 0132 0132 0132 1 0 1 1 0 0 -1 1 1 0 -1 0 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 -1 10 -9 -6 0 6 0 0 -10 0 10 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211982380329 0.684004455178 8 9 10 0 0132 0132 0132 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 -10 0 0 10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252056636569 0.422232732287 1 11 0 10 1302 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 1 0 0 0 0 0 1 0 0 -1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.516487425450 1.297292886846 8 11 1 9 2103 3012 0132 1023 0 1 0 1 0 0 -1 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 0 0 0 0 0 5 -5 0 0 0 0 -6 5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789089146846 0.489499413942 10 7 2 9 0321 0132 0132 3120 1 0 0 1 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 0 9 -9 0 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.447452446150 1.256398203683 11 6 8 2 2103 0132 3012 0132 1 0 1 0 0 0 -1 1 0 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 10 -10 0 0 6 -6 1 -10 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293308357029 0.666932810270 3 7 5 10 0132 1230 2103 2031 0 1 0 1 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 0 -6 6 0 0 0 0 0 -1 0 0 1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971134273120 1.175501597175 6 3 11 5 3120 0132 0132 1023 1 0 0 1 0 0 0 0 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 0 0 0 0 0 -5 5 0 1 0 -1 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447452446150 1.256398203683 6 8 4 3 0321 1302 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626648877300 1.049310133024 5 4 7 9 1230 0132 2103 0132 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 -1 0 -5 0 0 5 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.251554412644 0.706337656422 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0110_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_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_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_0110_5']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(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_11']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : 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'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_6']), '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' : d['c_0011_5'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_2']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 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_2, c_0110_5, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4482049824594715383/3931517193158384552*c_1100_0^7 - 9860547892590704181/7863034386316769104*c_1100_0^6 + 54567578568203373293/7863034386316769104*c_1100_0^5 - 59452297392076088981/7863034386316769104*c_1100_0^4 + 89432176255388017109/7863034386316769104*c_1100_0^3 - 11663526133451650057/982879298289596138*c_1100_0^2 + 56291176772992666547/7863034386316769104*c_1100_0 - 11727511993199634559/7863034386316769104, c_0011_0 - 1, c_0011_10 + 1179714/925061*c_1100_0^7 - 2773619/925061*c_1100_0^6 + 8527431/925061*c_1100_0^5 - 15813995/925061*c_1100_0^4 + 19231651/925061*c_1100_0^3 - 22857087/925061*c_1100_0^2 + 19439250/925061*c_1100_0 - 6005142/925061, c_0011_11 + 730017/925061*c_1100_0^7 - 3601431/1850122*c_1100_0^6 + 11185073/1850122*c_1100_0^5 - 22027265/1850122*c_1100_0^4 + 28227401/1850122*c_1100_0^3 - 17264223/925061*c_1100_0^2 + 29940463/1850122*c_1100_0 - 11042875/1850122, c_0011_3 + 170349/925061*c_1100_0^7 + 151717/1850122*c_1100_0^6 + 1282413/1850122*c_1100_0^5 - 66113/1850122*c_1100_0^4 - 1201155/1850122*c_1100_0^3 - 319433/925061*c_1100_0^2 - 1555561/1850122*c_1100_0 + 3658425/1850122, c_0011_5 - 572475/925061*c_1100_0^7 + 2864365/1850122*c_1100_0^6 - 8598359/1850122*c_1100_0^5 + 16381545/1850122*c_1100_0^4 - 20268311/1850122*c_1100_0^3 + 11683806/925061*c_1100_0^2 - 21401619/1850122*c_1100_0 + 6847217/1850122, c_0011_6 + 1060875/1850122*c_1100_0^7 - 4893585/3700244*c_1100_0^6 + 14124057/3700244*c_1100_0^5 - 28309593/3700244*c_1100_0^4 + 32768269/3700244*c_1100_0^3 - 10011923/925061*c_1100_0^2 + 37321135/3700244*c_1100_0 - 13448227/3700244, c_0101_0 + 118191/1850122*c_1100_0^7 - 948253/3700244*c_1100_0^6 + 2445533/3700244*c_1100_0^5 - 5090689/3700244*c_1100_0^4 + 7492477/3700244*c_1100_0^3 - 979923/925061*c_1100_0^2 + 6268919/3700244*c_1100_0 - 4179579/3700244, c_0101_10 + 1, c_0101_2 + 1578225/1850122*c_1100_0^7 - 8151115/3700244*c_1100_0^6 + 24815679/3700244*c_1100_0^5 - 49145219/3700244*c_1100_0^4 + 63947279/3700244*c_1100_0^3 - 18244146/925061*c_1100_0^2 + 66149845/3700244*c_1100_0 - 26265329/3700244, c_0110_5 - 1060875/1850122*c_1100_0^7 + 4893585/3700244*c_1100_0^6 - 14124057/3700244*c_1100_0^5 + 28309593/3700244*c_1100_0^4 - 32768269/3700244*c_1100_0^3 + 10011923/925061*c_1100_0^2 - 37321135/3700244*c_1100_0 + 13448227/3700244, c_1001_0 + 38865/1850122*c_1100_0^7 - 9763/3700244*c_1100_0^6 - 222773/3700244*c_1100_0^5 + 890933/3700244*c_1100_0^4 - 2810609/3700244*c_1100_0^3 + 1176788/925061*c_1100_0^2 - 4834611/3700244*c_1100_0 + 4558859/3700244, c_1100_0^8 - 19/6*c_1100_0^7 + 28/3*c_1100_0^6 - 20*c_1100_0^5 + 88/3*c_1100_0^4 - 215/6*c_1100_0^3 + 215/6*c_1100_0^2 - 22*c_1100_0 + 37/6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB