Magma V2.19-8 Tue Aug 20 2013 23:55:22 on localhost [Seed = 459109186] Type ? for help. Type -D to quit. Loading file "L14a11740__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a11740 geometric_solution 9.83132829 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 1 0 1 2031 0132 1302 1023 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 1 -1 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469103393377 0.289555588532 2 0 3 0 0132 0132 0132 1023 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 -1 0 0 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 1.612312609171 1.035898340587 1 4 5 6 0132 0132 0132 0132 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 1 0 -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 -0.144109222212 0.721834771934 6 7 4 1 0132 0132 3201 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 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 0.678620821788 0.288774279596 3 2 9 8 2310 0132 0132 0132 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 0 0 0 -1 0 1 -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 0.203435151421 0.977111092598 10 6 10 2 0132 0132 3012 0132 1 1 1 0 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 3 0 -4 1 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297370215071 0.736127761242 3 5 2 7 0132 0132 0132 3120 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 0 0 0 0 0 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 0.813119349615 0.875003081361 6 3 10 9 3120 0132 1023 2310 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 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 0.862218197769 0.536793094270 9 11 4 10 2103 0132 0132 0213 1 0 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 -3 -1 4 0 0 -1 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 1.706573420003 1.754326998484 7 11 8 4 3201 0321 2103 0132 1 0 1 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 3 -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 0 0 0 0.440751637521 0.293929522297 5 5 7 8 0132 1230 1023 0213 1 1 0 1 0 -1 0 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 0 0 0 0 4 0 -4 -3 0 0 3 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678493927036 0.710841222844 11 8 11 9 2310 0132 3201 0321 1 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 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 0 0 -0.079608530575 0.579891603633 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_2'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : 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' : d['1'], 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_1001_2'], 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_9']), 'c_1100_8' : d['c_0101_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], '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' : d['c_0011_0'], 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_3']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_10'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3']})} 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_9, c_0101_1, c_0101_10, c_0101_3, c_0101_4, c_0101_5, c_0101_7, c_0110_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 331510565686873565670/1521046992532249*c_1001_2^19 + 1278368159626319176049/1521046992532249*c_1001_2^18 - 3645509979311888450276/1521046992532249*c_1001_2^17 + 12430236633416802143576/1521046992532249*c_1001_2^16 - 32559633028472594582351/1521046992532249*c_1001_2^15 + 133507636232396707414869/3042093985064498*c_1001_2^14 - 188422583643152057243571/3042093985064498*c_1001_2^13 + 95080421539247490204301/1521046992532249*c_1001_2^12 - 105971416770778831975471/3042093985064498*c_1001_2^11 - 46768648472622129982133/3042093985064498*c_1001_2^10 + 99126126156130428166072/1521046992532249*c_1001_2^9 - 304046475993278788608145/3042093985064498*c_1001_2^8 + 306225951091526039784543/3042093985064498*c_1001_2^7 - 263468093498654517683911/3042093985064498*c_1001_2^6 + 82817047396791571972375/1521046992532249*c_1001_2^5 - 100556203967111875919837/3042093985064498*c_1001_2^4 + 40001039359608383255831/3042093985064498*c_1001_2^3 - 8949791860633327452232/1521046992532249*c_1001_2^2 + 3621018828689985030345/3042093985064498*c_1001_2 - 1194238065704833123875/3042093985064498, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1456*c_1001_2^19 - 7436*c_1001_2^18 + 25048*c_1001_2^17 - 84658*c_1001_2^16 + 244750*c_1001_2^15 - 585248*c_1001_2^14 + 1105746*c_1001_2^13 - 1706817*c_1001_2^12 + 2195652*c_1001_2^11 - 2385602*c_1001_2^10 + 2225602*c_1001_2^9 - 1774431*c_1001_2^8 + 1235504*c_1001_2^7 - 724770*c_1001_2^6 + 376924*c_1001_2^5 - 156456*c_1001_2^4 + 58838*c_1001_2^3 - 15246*c_1001_2^2 + 3640*c_1001_2 - 364, c_0011_9 + 884*c_1001_2^18 - 4378*c_1001_2^17 + 14554*c_1001_2^16 - 49266*c_1001_2^15 + 141362*c_1001_2^14 - 334747*c_1001_2^13 + 623244*c_1001_2^12 - 948472*c_1001_2^11 + 1201960*c_1001_2^10 - 1285187*c_1001_2^9 + 1179606*c_1001_2^8 - 921791*c_1001_2^7 + 630046*c_1001_2^6 - 358198*c_1001_2^5 + 182686*c_1001_2^4 - 71058*c_1001_2^3 + 26486*c_1001_2^2 - 5628*c_1001_2 + 1456, c_0101_1 + 192*c_1001_2^19 - 1004*c_1001_2^18 + 3436*c_1001_2^17 - 11644*c_1001_2^16 + 33904*c_1001_2^15 - 82000*c_1001_2^14 + 157850*c_1001_2^13 - 249250*c_1001_2^12 + 329320*c_1001_2^11 - 368977*c_1001_2^10 + 356178*c_1001_2^9 - 295646*c_1001_2^8 + 214656*c_1001_2^7 - 132994*c_1001_2^6 + 72576*c_1001_2^5 - 32682*c_1001_2^4 + 12856*c_1001_2^3 - 3883*c_1001_2^2 + 928*c_1001_2 - 152, c_0101_10 + 64*c_1001_2^19 - 316*c_1001_2^18 + 1060*c_1001_2^17 - 3606*c_1001_2^16 + 10362*c_1001_2^15 - 24692*c_1001_2^14 + 46508*c_1001_2^13 - 72107*c_1001_2^12 + 93566*c_1001_2^11 - 103054*c_1001_2^10 + 98008*c_1001_2^9 - 79968*c_1001_2^8 + 57424*c_1001_2^7 - 34764*c_1001_2^6 + 18936*c_1001_2^5 - 8117*c_1001_2^4 + 3280*c_1001_2^3 - 848*c_1001_2^2 + 232*c_1001_2 - 17, c_0101_3 + 48*c_1001_2^19 - 8*c_1001_2^18 - 332*c_1001_2^17 + 1054*c_1001_2^16 - 4990*c_1001_2^15 + 18084*c_1001_2^14 - 51974*c_1001_2^13 + 108327*c_1001_2^12 - 179048*c_1001_2^11 + 241991*c_1001_2^10 - 272619*c_1001_2^9 + 263024*c_1001_2^8 - 214326*c_1001_2^7 + 153806*c_1001_2^6 - 90746*c_1001_2^5 + 48927*c_1001_2^4 - 19634*c_1001_2^3 + 7859*c_1001_2^2 - 1699*c_1001_2 + 489, c_0101_4 - 38*c_1001_2^19 + 248*c_1001_2^18 - 924*c_1001_2^17 + 3124*c_1001_2^16 - 9497*c_1001_2^15 + 24241*c_1001_2^14 - 50348*c_1001_2^13 + 85353*c_1001_2^12 - 121061*c_1001_2^11 + 145536*c_1001_2^10 - 150296*c_1001_2^9 + 134262*c_1001_2^8 - 104083*c_1001_2^7 + 70311*c_1001_2^6 - 40756*c_1001_2^5 + 20661*c_1001_2^4 - 8477*c_1001_2^3 + 3104*c_1001_2^2 - 730*c_1001_2 + 177, c_0101_5 + 290*c_1001_2^19 - 1426*c_1001_2^18 + 4758*c_1001_2^17 - 16162*c_1001_2^16 + 46355*c_1001_2^15 - 110032*c_1001_2^14 + 205880*c_1001_2^13 - 316329*c_1001_2^12 + 405927*c_1001_2^11 - 441025*c_1001_2^10 + 412706*c_1001_2^9 - 330034*c_1001_2^8 + 231637*c_1001_2^7 - 135902*c_1001_2^6 + 71708*c_1001_2^5 - 29071*c_1001_2^4 + 11283*c_1001_2^3 - 2539*c_1001_2^2 + 686*c_1001_2 - 5, c_0101_7 + 40*c_1001_2^19 - 144*c_1001_2^18 + 402*c_1001_2^17 - 1386*c_1001_2^16 + 3524*c_1001_2^15 - 6982*c_1001_2^14 + 9037*c_1001_2^13 - 7654*c_1001_2^12 + 991*c_1001_2^11 + 9430*c_1001_2^10 - 19138*c_1001_2^9 + 25520*c_1001_2^8 - 24754*c_1001_2^7 + 21128*c_1001_2^6 - 13473*c_1001_2^5 + 8440*c_1001_2^4 - 3461*c_1001_2^3 + 1656*c_1001_2^2 - 343*c_1001_2 + 128, c_0110_0 - 8*c_1001_2^19 + 38*c_1001_2^18 - 126*c_1001_2^17 + 430*c_1001_2^16 - 1224*c_1001_2^15 + 2889*c_1001_2^14 - 5362*c_1001_2^13 + 8218*c_1001_2^12 - 10536*c_1001_2^11 + 11476*c_1001_2^10 - 10808*c_1001_2^9 + 8714*c_1001_2^8 - 6216*c_1001_2^7 + 3691*c_1001_2^6 - 2016*c_1001_2^5 + 816*c_1001_2^4 - 344*c_1001_2^3 + 64*c_1001_2^2 - 24*c_1001_2 - 4, c_1001_2^20 - 5*c_1001_2^19 + 17*c_1001_2^18 - 58*c_1001_2^17 + 335/2*c_1001_2^16 - 403*c_1001_2^15 + 771*c_1001_2^14 - 1220*c_1001_2^13 + 1622*c_1001_2^12 - 1840*c_1001_2^11 + 1811*c_1001_2^10 - 1542*c_1001_2^9 + 2325/2*c_1001_2^8 - 752*c_1001_2^7 + 440*c_1001_2^6 - 212*c_1001_2^5 + 96*c_1001_2^4 - 32*c_1001_2^3 + 11*c_1001_2^2 - 2*c_1001_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.300 seconds, Total memory usage: 32.09MB