Magma V2.19-8 Wed Aug 21 2013 00:09:19 on localhost [Seed = 2244209383] Type ? for help. Type -D to quit. Loading file "K13n2501__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2501 geometric_solution 12.35788977 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3201 0132 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 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 0.606204393379 1.327125956994 0 4 0 5 0132 0132 2310 0132 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 -8 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167192094972 0.554222306929 6 4 7 0 0132 1230 0132 0132 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 -1 0 1 -1 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433068367996 0.490086786425 6 8 0 9 3120 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433068367996 0.490086786425 5 1 2 8 3201 0132 3012 2103 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 1 -1 1 -1 0 0 1 8 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361796867509 1.339798687617 6 10 1 4 2103 0132 0132 2310 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 1 0 -1 1 0 0 -1 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425081961734 1.411101139930 2 9 5 3 0132 0132 2103 3120 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 1 0 -1 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460580813701 0.768281547295 10 11 12 2 2103 0132 0132 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 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 0.418999565682 1.508147525793 11 3 11 4 2031 0132 3201 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.492527528443 0.819430320340 10 6 3 12 3120 0132 0132 0132 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 9 0 -9 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308474801597 1.531130549290 12 5 7 9 1230 0132 2103 3120 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 -1 0 1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504193640488 0.881422724619 8 7 8 12 2310 0132 1302 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 0 0 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 0.492527528443 0.819430320340 11 10 9 7 3201 3012 0132 0132 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 1 0 0 -1 0 0 0 0 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468295124741 0.458566359537 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0110_8'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0110_8'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_2']), 's_3_11' : d['1'], 's_0_11' : 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_0011_3'], '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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0101_2']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_1001_1']), '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_1100_0'], '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_2'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_11'], '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_8, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 10309882167919627348410303904/130274255963033679151125*c_1100_0^14 + 526913037896182060489675919/130274255963033679151125*c_1100_0^13 + 27008558918246243562005584/130274255963033679151125*c_1100_0^12 - 41238171879247700788688446217/130274255963033679151125*c_1100_0^11 - 167065702024979837334606458276/130274255963033679151125*c_1100_0^10 + 177039241225107496031073293336/130274255963033679151125*c_1100_0^\ 9 + 235864281330209412755079655484/130274255963033679151125*c_1100_\ 0^8 - 61277164737636473415703153834/43424751987677893050375*c_1100_\ 0^7 + 107405994087653413569942106318/26054851192606735830225*c_1100\ _0^6 + 5488827287844679961807118173/26054851192606735830225*c_1100_\ 0^5 - 218642256344593777407311411211/14474917329225964350125*c_1100\ _0^4 - 23213290451846501637761390759/43424751987677893050375*c_1100\ _0^3 + 2171810477297080893919201599772/130274255963033679151125*c_1\ 100_0^2 + 317198539083142040824565121997/130274255963033679151125*c\ _1100_0 + 201806700066014487332887505789/130274255963033679151125, c_0011_0 - 1, c_0011_10 - 3353035087193/599668947537741*c_1100_0^14 - 1673986342396/599668947537741*c_1100_0^13 + 14317453572988/599668947537741*c_1100_0^12 - 3032138651690/599668947537741*c_1100_0^11 + 95906671997221/599668947537741*c_1100_0^10 - 123897470361175/599668947537741*c_1100_0^9 - 183101184614980/599668947537741*c_1100_0^8 + 110258268496871/199889649179247*c_1100_0^7 - 368393817009826/599668947537741*c_1100_0^6 - 37396775405267/599668947537741*c_1100_0^5 + 151290987551508/66629883059749*c_1100_0^4 - 124164011314412/199889649179247*c_1100_0^3 - 1661244430115246/599668947537741*c_1100_0^2 + 1063714573537888/599668947537741*c_1100_0 + 14270162179001/599668947537741, c_0011_11 + 20367267760108/599668947537741*c_1100_0^14 + 18599703964712/599668947537741*c_1100_0^13 - 21970423006019/599668947537741*c_1100_0^12 - 51231400255148/599668947537741*c_1100_0^11 - 444150453841706/599668947537741*c_1100_0^10 + 233865381415052/599668947537741*c_1100_0^9 + 917947547529743/599668947537741*c_1100_0^8 - 169487425812649/199889649179247*c_1100_0^7 + 959431033267184/599668947537741*c_1100_0^6 + 807581014534384/599668947537741*c_1100_0^5 - 538357749719818/66629883059749*c_1100_0^4 - 750325567738595/199889649179247*c_1100_0^3 + 6402906137265625/599668947537741*c_1100_0^2 + 1943011463116033/599668947537741*c_1100_0 + 257771278140758/599668947537741, c_0011_12 - 10766060077852/599668947537741*c_1100_0^14 + 6164665017922/599668947537741*c_1100_0^13 - 6478598159866/599668947537741*c_1100_0^12 + 46467686665985/599668947537741*c_1100_0^11 + 136119293412005/599668947537741*c_1100_0^10 - 253092899318726/599668947537741*c_1100_0^9 - 43464509579891/599668947537741*c_1100_0^8 + 84248601465502/199889649179247*c_1100_0^7 - 631747211105819/599668947537741*c_1100_0^6 + 250278611472065/599668947537741*c_1100_0^5 + 185104922868203/66629883059749*c_1100_0^4 - 341342497917502/199889649179247*c_1100_0^3 - 1626403458462769/599668947537741*c_1100_0^2 + 887709397819319/599668947537741*c_1100_0 - 101577601540547/599668947537741, c_0011_2 - 4908060449753/599668947537741*c_1100_0^14 + 7268637135893/599668947537741*c_1100_0^13 - 10440410616572/599668947537741*c_1100_0^12 + 35370188572111/599668947537741*c_1100_0^11 + 30969069425479/599668947537741*c_1100_0^10 - 132015269597374/599668947537741*c_1100_0^9 + 80903578204025/599668947537741*c_1100_0^8 - 15719086281094/199889649179247*c_1100_0^7 - 275004091028512/599668947537741*c_1100_0^6 + 479591528838526/599668947537741*c_1100_0^5 + 52189304856690/66629883059749*c_1100_0^4 - 217645684422890/199889649179247*c_1100_0^3 + 39913538998315/599668947537741*c_1100_0^2 - 435835095936827/599668947537741*c_1100_0 - 263755539187033/599668947537741, c_0011_3 - 44836113757394/599668947537741*c_1100_0^14 + 8479429537727/599668947537741*c_1100_0^13 - 9489003805298/599668947537741*c_1100_0^12 + 199225970046406/599668947537741*c_1100_0^11 + 651355208932900/599668947537741*c_1100_0^10 - 864018621780952/599668947537741*c_1100_0^9 - 852535142217166/599668947537741*c_1100_0^8 + 254317378081850/199889649179247*c_1100_0^7 - 2244660244994434/599668947537741*c_1100_0^6 + 390919439752114/599668947537741*c_1100_0^5 + 925101027588639/66629883059749*c_1100_0^4 - 279666963548579/199889649179247*c_1100_0^3 - 8901606570352499/599668947537741*c_1100_0^2 - 1033764425187536/599668947537741*c_1100_0 - 371742782917462/599668947537741, c_0101_0 + 1377100359573/66629883059749*c_1100_0^14 + 1522531768826/66629883059749*c_1100_0^13 - 2323829831613/66629883059749*c_1100_0^12 - 2732753810353/66629883059749*c_1100_0^11 - 33314370544865/66629883059749*c_1100_0^10 + 16889421841293/66629883059749*c_1100_0^9 + 72191801360292/66629883059749*c_1100_0^8 - 38262341819939/66629883059749*c_1100_0^7 + 72792535456136/66629883059749*c_1100_0^6 + 72609111180159/66629883059749*c_1100_0^5 - 368384151213380/66629883059749*c_1100_0^4 - 197507053921899/66629883059749*c_1100_0^3 + 520118186993127/66629883059749*c_1100_0^2 + 124463893260805/66629883059749*c_1100_0 + 22394735349072/66629883059749, c_0101_1 - 6114389606302/599668947537741*c_1100_0^14 + 1568663378149/599668947537741*c_1100_0^13 - 10507174488535/599668947537741*c_1100_0^12 + 32597719551155/599668947537741*c_1100_0^11 + 77744697427259/599668947537741*c_1100_0^10 - 73250468787482/599668947537741*c_1100_0^9 - 1575776168702/599668947537741*c_1100_0^8 - 21540340439006/199889649179247*c_1100_0^7 - 368617432431095/599668947537741*c_1100_0^6 + 112474835913500/599668947537741*c_1100_0^5 + 70326111203434/66629883059749*c_1100_0^4 + 15116546924327/199889649179247*c_1100_0^3 + 87967747849451/599668947537741*c_1100_0^2 - 147914024849293/599668947537741*c_1100_0 - 480890592907628/599668947537741, c_0101_10 - 30107414233907/599668947537741*c_1100_0^14 + 17224138416707/599668947537741*c_1100_0^13 - 17385631887347/599668947537741*c_1100_0^12 + 166017877172005/599668947537741*c_1100_0^11 + 368067720702382/599668947537741*c_1100_0^10 - 644949382205266/599668947537741*c_1100_0^9 - 355085612334601/599668947537741*c_1100_0^8 + 108174938447312/199889649179247*c_1100_0^7 - 1420174719647368/599668947537741*c_1100_0^6 + 701519992704250/599668947537741*c_1100_0^5 + 545603003962422/66629883059749*c_1100_0^4 - 450297654605795/199889649179247*c_1100_0^3 - 4912858935558962/599668947537741*c_1100_0^2 - 779809008970754/599668947537741*c_1100_0 + 67687186472234/599668947537741, c_0101_2 + 4908060449753/599668947537741*c_1100_0^14 - 7268637135893/599668947537741*c_1100_0^13 + 10440410616572/599668947537741*c_1100_0^12 - 35370188572111/599668947537741*c_1100_0^11 - 30969069425479/599668947537741*c_1100_0^10 + 132015269597374/599668947537741*c_1100_0^9 - 80903578204025/599668947537741*c_1100_0^8 + 15719086281094/199889649179247*c_1100_0^7 + 275004091028512/599668947537741*c_1100_0^6 - 479591528838526/599668947537741*c_1100_0^5 - 52189304856690/66629883059749*c_1100_0^4 + 217645684422890/199889649179247*c_1100_0^3 - 39913538998315/599668947537741*c_1100_0^2 + 435835095936827/599668947537741*c_1100_0 + 263755539187033/599668947537741, c_0110_8 + 32659960399921/599668947537741*c_1100_0^14 + 8987891416451/599668947537741*c_1100_0^13 - 24677505226520/599668947537741*c_1100_0^12 - 101649996689702/599668947537741*c_1100_0^11 - 609328027632143/599668947537741*c_1100_0^10 + 625327658269130/599668947537741*c_1100_0^9 + 1050924325598012/599668947537741*c_1100_0^8 - 309158043577192/199889649179247*c_1100_0^7 + 1784191639065158/599668947537741*c_1100_0^6 + 286807899835996/599668947537741*c_1100_0^5 - 810900710721077/66629883059749*c_1100_0^4 - 184477396857008/199889649179247*c_1100_0^3 + 9093500725182841/599668947537741*c_1100_0^2 + 312755718357208/599668947537741*c_1100_0 + 443755719998198/599668947537741, c_1001_1 + 81210333780439/599668947537741*c_1100_0^14 - 7833643886860/599668947537741*c_1100_0^13 + 15805757988097/599668947537741*c_1100_0^12 - 348600407747174/599668947537741*c_1100_0^11 - 1227558857473031/599668947537741*c_1100_0^10 + 1458412152902789/599668947537741*c_1100_0^9 + 1569852585681017/599668947537741*c_1100_0^8 - 459349214084185/199889649179247*c_1100_0^7 + 4171436043985301/599668947537741*c_1100_0^6 - 175833803428565/599668947537741*c_1100_0^5 - 1645153417582020/66629883059749*c_1100_0^4 + 296588400674533/199889649179247*c_1100_0^3 + 16053995281542298/599668947537741*c_1100_0^2 + 1714944026157676/599668947537741*c_1100_0 + 682916151769769/599668947537741, c_1100_0^15 - 4*c_1100_0^12 - 16*c_1100_0^11 + 18*c_1100_0^10 + 22*c_1100_0^9 - 19*c_1100_0^8 + 53*c_1100_0^7 - 191*c_1100_0^5 + 3*c_1100_0^4 + 211*c_1100_0^3 + 20*c_1100_0^2 + 18*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 9.870 Total time: 10.070 seconds, Total memory usage: 146.22MB