Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 223121887] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1337 geometric_solution 5.21521739 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 -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 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 -0.285382427389 0.118146247761 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 -1 1 0 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 -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 2.219916863444 1.167499619332 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 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 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 0.766106336464 0.639359212360 2 5 4 6 0132 0132 3201 0132 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 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 0.048171451091 0.619984714714 3 6 2 5 2310 1023 0132 2310 0 0 0 0 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 1 -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 0.048171451091 0.619984714714 4 3 5 5 3201 0132 1230 3012 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 -1 1 0 0 0 1 -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 0.153925848310 1.023954796240 4 6 3 6 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124570105646 1.603264167096 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_4']), 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 464851716583235373/5274747316576399*c_0110_5^14 + 3260131855418703666/5274747316576399*c_0110_5^13 + 16223369256795805040/5274747316576399*c_0110_5^12 - 98744668437679965711/5274747316576399*c_0110_5^11 - 189143913725015075770/5274747316576399*c_0110_5^10 + 731731108139800290898/5274747316576399*c_0110_5^9 + 901750322167121344994/5274747316576399*c_0110_5^8 - 2284695230280340824351/5274747316576399*c_0110_5^7 - 1925645239146304977060/5274747316576399*c_0110_5^6 + 3269739762847172666053/5274747316576399*c_0110_5^5 + 1652105279550478157812/5274747316576399*c_0110_5^4 - 1860533723459707026335/5274747316576399*c_0110_5^3 - 279662903491600834931/5274747316576399*c_0110_5^2 + 177548111632412045028/5274747316576399*c_0110_5 + 30673371505840681130/5274747316576399, c_0011_0 - 1, c_0011_2 - 911243787132814/5274747316576399*c_0110_5^14 + 6432267384148135/5274747316576399*c_0110_5^13 + 31749271012122088/5274747316576399*c_0110_5^12 - 197012066267944848/5274747316576399*c_0110_5^11 - 367290364537532871/5274747316576399*c_0110_5^10 + 1507927249297479253/5274747316576399*c_0110_5^9 + 1713173799826733635/5274747316576399*c_0110_5^8 - 4914663975295347585/5274747316576399*c_0110_5^7 - 3450461849227627197/5274747316576399*c_0110_5^6 + 7412640348282950906/5274747316576399*c_0110_5^5 + 2430755170978248865/5274747316576399*c_0110_5^4 - 4449349242130210056/5274747316576399*c_0110_5^3 + 188471153515167817/5274747316576399*c_0110_5^2 + 347136292580663254/5274747316576399*c_0110_5 + 2072616638781331/5274747316576399, c_0011_4 + 931336641958046/5274747316576399*c_0110_5^14 - 7264750469457256/5274747316576399*c_0110_5^13 - 26588195036480484/5274747316576399*c_0110_5^12 + 216663399780470199/5274747316576399*c_0110_5^11 + 207100837711456878/5274747316576399*c_0110_5^10 - 1567797998502041561/5274747316576399*c_0110_5^9 - 651128658009746183/5274747316576399*c_0110_5^8 + 4655608951302322077/5274747316576399*c_0110_5^7 + 805179169928695934/5274747316576399*c_0110_5^6 - 6053057916450800476/5274747316576399*c_0110_5^5 - 97285659723000108/5274747316576399*c_0110_5^4 + 2866236521762657090/5274747316576399*c_0110_5^3 - 336524091790721428/5274747316576399*c_0110_5^2 - 213951226042229984/5274747316576399*c_0110_5 + 3490924068857706/5274747316576399, c_0101_0 - 1639313621979172/5274747316576399*c_0110_5^14 + 12553688617447507/5274747316576399*c_0110_5^13 + 48217463328983153/5274747316576399*c_0110_5^12 - 371998194410412439/5274747316576399*c_0110_5^11 - 405013514739352445/5274747316576399*c_0110_5^10 + 2634729433615362609/5274747316576399*c_0110_5^9 + 1384988188142782076/5274747316576399*c_0110_5^8 - 7673488422613851496/5274747316576399*c_0110_5^7 - 1981251496824214534/5274747316576399*c_0110_5^6 + 9869925400146054765/5274747316576399*c_0110_5^5 + 748115877449539325/5274747316576399*c_0110_5^4 - 4722399617994229510/5274747316576399*c_0110_5^3 + 382069972881133342/5274747316576399*c_0110_5^2 + 368118114917967032/5274747316576399*c_0110_5 + 1632808453536837/5274747316576399, c_0101_1 + 2012752745065877/5274747316576399*c_0110_5^14 - 14955504968875656/5274747316576399*c_0110_5^13 - 63885959564714548/5274747316576399*c_0110_5^12 + 452544115830834098/5274747316576399*c_0110_5^11 + 632096877898907969/5274747316576399*c_0110_5^10 - 3383357386207343987/5274747316576399*c_0110_5^9 - 2616925535598991996/5274747316576399*c_0110_5^8 + 10621686656770518320/5274747316576399*c_0110_5^7 + 4722675921173355341/5274747316576399*c_0110_5^6 - 15145076004520305504/5274747316576399*c_0110_5^5 - 2721410395140191547/5274747316576399*c_0110_5^4 + 8372487546962782236/5274747316576399*c_0110_5^3 - 768862504551392440/5274747316576399*c_0110_5^2 - 616531740968512171/5274747316576399*c_0110_5 + 10731521271990281/5274747316576399, c_0101_3 + 348956433162690/5274747316576399*c_0110_5^14 - 2111061142321877/5274747316576399*c_0110_5^13 - 15295270233137459/5274747316576399*c_0110_5^12 + 68819951313724577/5274747316576399*c_0110_5^11 + 230295485987929716/5274747316576399*c_0110_5^10 - 597226063633132150/5274747316576399*c_0110_5^9 - 1238005168228920809/5274747316576399*c_0110_5^8 + 2273426968049413071/5274747316576399*c_0110_5^7 + 2721915360251036026/5274747316576399*c_0110_5^6 - 4078926457362052383/5274747316576399*c_0110_5^5 - 2031632598508414299/5274747316576399*c_0110_5^4 + 2921278034982860338/5274747316576399*c_0110_5^3 - 178369256235933974/5274747316576399*c_0110_5^2 - 209878206510213971/5274747316576399*c_0110_5 + 3418435268834819/5274747316576399, c_0110_5^15 - 7*c_0110_5^14 - 35*c_0110_5^13 + 212*c_0110_5^12 + 410*c_0110_5^11 - 1570*c_0110_5^10 - 1965*c_0110_5^9 + 4899*c_0110_5^8 + 4230*c_0110_5^7 - 7012*c_0110_5^6 - 3696*c_0110_5^5 + 4008*c_0110_5^4 + 693*c_0110_5^3 - 408*c_0110_5^2 - 72*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB