Magma V2.19-8 Tue Aug 20 2013 16:19:07 on localhost [Seed = 2084430086] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3255 geometric_solution 6.38415633 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 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 1 0 -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 0.136066711819 0.933026325024 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.291951568540 0.973504598791 3 0 4 5 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291951568540 0.973504598791 2 1 6 6 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.682812887954 0.766779771324 4 4 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 1 -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 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 0.839458595040 0.917506369273 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631730346954 0.722627781215 6 3 6 3 2031 2310 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040888980187 1.232688943227 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_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_0_6' : 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_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/2, c_0011_0 - 1, c_0011_4 - 1, c_0011_5 + 1, c_0011_6 - 1, c_0101_0 - c_0101_3, c_0101_1 - 1, c_0101_3^2 - 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 1519874524634701424456443238855884425378/25127966956671960981240027\ 428059*c_0101_3^20 + 1931611670826956548875086348124263733715/25127\ 966956671960981240027428059*c_0101_3^18 + 1192646276022677751667450870144056247044/25127966956671960981240027\ 428059*c_0101_3^16 - 252686233773376022848971426705658318188/251279\ 66956671960981240027428059*c_0101_3^14 - 2204828211479766777286626365096149166202/25127966956671960981240027\ 428059*c_0101_3^12 + 751119119571181822364840430475575321830/251279\ 66956671960981240027428059*c_0101_3^10 + 14653330808279385475262352849342760628/2512796695667196098124002742\ 8059*c_0101_3^8 - 17560849168526713851504575218459514365/2512796695\ 6671960981240027428059*c_0101_3^6 + 3097768676139978653504247101202593477/25127966956671960981240027428\ 059*c_0101_3^4 + 1309013084158062850013478556293521548/251279669566\ 71960981240027428059*c_0101_3^2 + 119513507849205903278421756198610\ 705/25127966956671960981240027428059, c_0011_0 - 1, c_0011_4 - 70253720674163795856153105462016/207554221684455392313677777\ *c_0101_3^20 + 89990610262587904960336038237020/2075542216844553923\ 13677777*c_0101_3^18 + 54207400555647931358736224614004/20755422168\ 4455392313677777*c_0101_3^16 - 12209517637572675672499084295354/207\ 554221684455392313677777*c_0101_3^14 - 101766236655681718286814125222285/207554221684455392313677777*c_010\ 1_3^12 + 35741808441377095598314867388217/2075542216844553923136777\ 77*c_0101_3^10 + 290201598078182966300370478271/2075542216844553923\ 13677777*c_0101_3^8 - 817504292188271438987590928694/20755422168445\ 5392313677777*c_0101_3^6 + 157757041800639619268435109859/207554221\ 684455392313677777*c_0101_3^4 + 58197559327156588274207309731/20755\ 4221684455392313677777*c_0101_3^2 + 4916447323694833695844604169/207554221684455392313677777, c_0011_5 - 10973447655355925961991797316646180835/251279669566719609812\ 40027428059*c_0101_3^20 + 14008103935870312427003356473597234474/25\ 127966956671960981240027428059*c_0101_3^18 + 8533477589421061787853861779828892345/25127966956671960981240027428\ 059*c_0101_3^16 - 1876035573980351654082877130541683175/25127966956\ 671960981240027428059*c_0101_3^14 - 15907767170707712071223477821212336279/2512796695667196098124002742\ 8059*c_0101_3^12 + 5514040764575624447812995665181183572/2512796695\ 6671960981240027428059*c_0101_3^10 + 76909790048271518804817046921211569/2512796695667196098124002742805\ 9*c_0101_3^8 - 129900047645591234900257928429785131/251279669566719\ 60981240027428059*c_0101_3^6 + 23900363969732824248265738257453044/\ 25127966956671960981240027428059*c_0101_3^4 + 9241427689954149332837357952489253/25127966956671960981240027428059\ *c_0101_3^2 + 801541047595349927696678668868395/2512796695667196098\ 1240027428059, c_0011_6 + 100165831320289305145053959445108/20755422168445539231367777\ 7*c_0101_3^20 - 127922686030209731064261906543107/20755422168445539\ 2313677777*c_0101_3^18 - 77801885025925014790602578375119/207554221\ 684455392313677777*c_0101_3^16 + 17147058689985531356020865885796/2\ 07554221684455392313677777*c_0101_3^14 + 145176448441331172116122902744477/207554221684455392313677777*c_010\ 1_3^12 - 50414900897653259479874395344017/2075542216844553923136777\ 77*c_0101_3^10 - 644582014947655276473360245947/2075542216844553923\ 13677777*c_0101_3^8 + 1182549324447416174566926933215/2075542216844\ 55392313677777*c_0101_3^6 - 219292067316432790216691029422/20755422\ 1684455392313677777*c_0101_3^4 - 84473744727429887049323101293/2075\ 54221684455392313677777*c_0101_3^2 - 7267710644656804672339320212/207554221684455392313677777, c_0101_0 - 52245694192182074809869161617644635717/251279669566719609812\ 40027428059*c_0101_3^21 + 66671945447893724572183631424242832049/25\ 127966956671960981240027428059*c_0101_3^19 + 40658323325247905759071761017642539676/2512796695667196098124002742\ 8059*c_0101_3^17 - 8917795701313871983631727292151133127/2512796695\ 6671960981240027428059*c_0101_3^15 - 75741511885521911300652025183392854597/2512796695667196098124002742\ 8059*c_0101_3^13 + 26222110354034663552907401468817238887/251279669\ 56671960981240027428059*c_0101_3^11 + 378917552332450420308724443778533838/251279669566719609812400274280\ 59*c_0101_3^9 - 621048367145692126274394586965481448/25127966956671\ 960981240027428059*c_0101_3^7 + 11387896751267892710167144513529106\ 7/25127966956671960981240027428059*c_0101_3^5 + 44012085942045141278090984370696367/2512796695667196098124002742805\ 9*c_0101_3^3 + 3829737260909826911236497419392849/25127966956671960\ 981240027428059*c_0101_3, c_0101_1 - 1557625898504554478547069994542470030/2512796695667196098124\ 0027428059*c_0101_3^20 + 2025377588530716532723041743632627238/2512\ 7966956671960981240027428059*c_0101_3^18 + 1160692754858715720556751221115379586/25127966956671960981240027428\ 059*c_0101_3^16 - 290714829546616174743813856364881598/251279669566\ 71960981240027428059*c_0101_3^14 - 2249371673718624629742579489273002709/25127966956671960981240027428\ 059*c_0101_3^12 + 835909348819327152061123081823256312/251279669566\ 71960981240027428059*c_0101_3^10 - 12338089887181282382952302845814822/2512796695667196098124002742805\ 9*c_0101_3^8 - 16890953276020236084574310785238837/2512796695667196\ 0981240027428059*c_0101_3^6 + 3576271304796772173175006712424570/25\ 127966956671960981240027428059*c_0101_3^4 + 1216999323937812231595131379888418/25127966956671960981240027428059\ *c_0101_3^2 + 104286744037508150135009529889052/2512796695667196098\ 1240027428059, c_0101_3^22 - 116121/101761*c_0101_3^20 - 96730/101761*c_0101_3^18 + 6687/101761*c_0101_3^16 + 149873/101761*c_0101_3^14 - 31159/101761*c_0101_3^12 - 7642/101761*c_0101_3^10 + 1115/101761*c_0101_3^8 - 59/101761*c_0101_3^6 - 4/3509*c_0101_3^4 - 19/101761*c_0101_3^2 - 1/101761 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB