Magma V2.19-8 Wed Aug 21 2013 01:08:17 on localhost [Seed = 3364802959] Type ? for help. Type -D to quit. Loading file "L14n39420__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39420 geometric_solution 11.59110315 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 0 0 0 0 1 -1 0 0 0 0 0 -5 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.329438922477 0.586179767926 0 5 7 6 0132 0132 0132 0132 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 0 0 0 1 -6 5 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 0.282325045482 1.306064885741 5 0 8 6 0132 0132 0132 1230 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 -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 -6 0 0 6 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.221667442033 1.059456901962 9 10 7 0 0132 0132 1302 0132 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 0 0 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 -0.158119856083 0.731478822277 10 5 0 7 3012 0213 0132 1302 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 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 -6 0 0 6 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561540347657 1.474131190530 2 1 4 11 0132 0132 0213 0132 0 0 1 1 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 -1 0 0 1 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497814774788 0.899704609457 2 12 1 11 3012 0132 0132 1023 0 0 0 1 0 0 1 -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 -5 5 0 0 0 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 0.185370932460 0.623229690343 3 12 4 1 2031 0213 2031 0132 0 0 1 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 -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 0 0 0 0 0 0.719660203740 0.742652368253 9 12 11 2 1023 0321 0213 0132 0 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 0 0 0 0 0 0 1 0 -1 0 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.195933008241 0.500421484606 3 8 10 11 0132 1023 1023 1230 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 0 0 0 -1 6 -5 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 0.423727375090 1.041289506739 12 3 9 4 0321 0132 1023 1230 0 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 -1 1 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 0 0.728626773745 1.296465730059 9 8 5 6 3012 0213 0132 1023 0 0 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 0 0 0 0 0 0 0 5 0 0 -5 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.464586234635 0.791295995132 10 6 7 8 0321 0132 0213 0321 0 1 1 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154675610621 0.738951410987 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0101_0'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_0110_6'], 'c_1010_10' : d['c_0101_1'], '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_0011_11'], '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_1100_9' : d['c_0110_11'], 'c_1100_8' : d['c_0110_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1010_4'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_4']), 'c_1100_6' : negation(d['c_1010_4']), 'c_1100_1' : negation(d['c_1010_4']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0110_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_4'], 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], '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_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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], '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_0011_11'], 'c_0110_8' : d['c_0101_11'], '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_0011_12']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0110_11']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_11, c_0110_6, c_1001_1, c_1001_2, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 7283521814042155102393/9023240436183072*c_1010_4^7 - 6152459577440807141993/2255810109045768*c_1010_4^6 - 52846187493035287011071/9023240436183072*c_1010_4^5 - 43911408559403095145515/4511620218091536*c_1010_4^4 - 44647295129401919672173/4511620218091536*c_1010_4^3 - 122726158710364001844215/9023240436183072*c_1010_4^2 - 37802706465848270346055/4511620218091536*c_1010_4 - 66661046577681337034639/9023240436183072, c_0011_0 - 1, c_0011_10 + 17789116996/53740473343*c_1010_4^7 + 502693052801/429923786744*c_1010_4^6 + 141449365417/53740473343*c_1010_4^5 + 502097808109/107480946686*c_1010_4^4 + 1115878268715/214961893372*c_1010_4^3 + 1423893502455/214961893372*c_1010_4^2 + 1877947611637/429923786744*c_1010_4 + 187092008076/53740473343, c_0011_11 - 148409540321/1719695146976*c_1010_4^7 - 828855896021/1719695146976*c_1010_4^6 - 100134536635/107480946686*c_1010_4^5 - 978323461553/859847573488*c_1010_4^4 - 491559963423/429923786744*c_1010_4^3 - 1867568812851/1719695146976*c_1010_4^2 - 3185328811585/1719695146976*c_1010_4 - 270498290321/429923786744, c_0011_12 + 576969847111/3439390293952*c_1010_4^7 + 1841490625259/3439390293952*c_1010_4^6 + 241366038027/214961893372*c_1010_4^5 + 3066006251895/1719695146976*c_1010_4^4 + 1345962561013/859847573488*c_1010_4^3 + 7313171877397/3439390293952*c_1010_4^2 + 956887933407/3439390293952*c_1010_4 + 507157932111/859847573488, c_0101_0 - 1, c_0101_1 - 209533891091/859847573488*c_1010_4^7 - 755139322625/859847573488*c_1010_4^6 - 176497212659/107480946686*c_1010_4^5 - 1089940105495/429923786744*c_1010_4^4 - 142032199903/53740473343*c_1010_4^3 - 2625649747749/859847573488*c_1010_4^2 - 2196903493661/859847573488*c_1010_4 - 173864741961/214961893372, c_0101_11 - 699191949295/3439390293952*c_1010_4^7 - 1338639794267/3439390293952*c_1010_4^6 - 108112833517/214961893372*c_1010_4^5 - 1242959533391/1719695146976*c_1010_4^4 + 445059281047/859847573488*c_1010_4^3 - 2682185055933/3439390293952*c_1010_4^2 + 2010117886321/3439390293952*c_1010_4 - 409207659263/859847573488, c_0101_7 + 1183536846751/3439390293952*c_1010_4^7 + 3692383963419/3439390293952*c_1010_4^6 + 371326013433/214961893372*c_1010_4^5 + 4013025962815/1719695146976*c_1010_4^4 + 1475840011153/859847573488*c_1010_4^3 + 7910762180909/3439390293952*c_1010_4^2 + 5268585633423/3439390293952*c_1010_4 + 54928507951/859847573488, c_0110_11 - 20571677889/429923786744*c_1010_4^7 - 11842941589/53740473343*c_1010_4^6 - 70802481757/107480946686*c_1010_4^5 - 235861542219/214961893372*c_1010_4^4 - 217137892359/214961893372*c_1010_4^3 - 379305265525/429923786744*c_1010_4^2 - 22633436664/53740473343*c_1010_4 + 1452172816/53740473343, c_0110_6 + 712534665661/3439390293952*c_1010_4^7 + 2192112357641/3439390293952*c_1010_4^6 + 261585109809/214961893372*c_1010_4^5 + 3244492127085/1719695146976*c_1010_4^4 + 872633934247/859847573488*c_1010_4^3 + 4627324540535/3439390293952*c_1010_4^2 + 882019526597/3439390293952*c_1010_4 + 43881232773/859847573488, c_1001_1 - 576969847111/3439390293952*c_1010_4^7 - 1841490625259/3439390293952*c_1010_4^6 - 241366038027/214961893372*c_1010_4^5 - 3066006251895/1719695146976*c_1010_4^4 - 1345962561013/859847573488*c_1010_4^3 - 7313171877397/3439390293952*c_1010_4^2 - 956887933407/3439390293952*c_1010_4 - 507157932111/859847573488, c_1001_2 + 345401282387/3439390293952*c_1010_4^7 + 671826672919/3439390293952*c_1010_4^6 + 18331588115/214961893372*c_1010_4^5 - 346734459165/1719695146976*c_1010_4^4 - 796675187295/859847573488*c_1010_4^3 - 2591836810087/3439390293952*c_1010_4^2 - 3519028341221/3439390293952*c_1010_4 - 640530459893/859847573488, c_1010_4^8 + 166/49*c_1010_4^7 + 51/7*c_1010_4^6 + 594/49*c_1010_4^5 + 606/49*c_1010_4^4 + 831/49*c_1010_4^3 + 516/49*c_1010_4^2 + 453/49*c_1010_4 + 4/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB