Magma V2.19-8 Tue Aug 20 2013 16:16:31 on localhost [Seed = 2311591249] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0814 geometric_solution 4.74786052 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.447615463293 1.940553616180 0 1 0 1 0132 1302 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332114354825 0.057277798260 0 0 4 3 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 1 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 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 0.369542886800 0.478910939119 4 5 2 4 1230 0132 0132 1302 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 -1 1 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 0.828352959683 0.635244026515 5 3 3 2 3201 3012 2031 0132 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 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 0.828352959683 0.635244026515 6 3 6 4 0132 0132 1023 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 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 1.919579102304 1.206571804038 5 6 5 6 0132 2310 1023 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 -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 0.492373214955 0.454787456339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 486547920021764969029961/2199846043631588988416*c_0101_3*c_0101_5^1\ 3 - 1917254878147117099018321/2199846043631588988416*c_0101_3*c_010\ 1_5^12 - 3372173703953267251827433/199986003966508089856*c_0101_3*c\ _0101_5^11 - 9959456319171743732044857/137490377726974311776*c_0101\ _3*c_0101_5^10 - 270796926212082403575516463/1099923021815794494208\ *c_0101_3*c_0101_5^9 - 484805577585429764967297667/1099923021815794\ 494208*c_0101_3*c_0101_5^8 - 112833309400611362447158781/1999860039\ 66508089856*c_0101_3*c_0101_5^7 - 1051157963508808228142880113/2199\ 846043631588988416*c_0101_3*c_0101_5^6 + 111860852331382464275480171/274980755453948623552*c_0101_3*c_0101_5\ ^5 + 379935703047173737330823415/1099923021815794494208*c_0101_3*c_\ 0101_5^4 + 187279403549999298961169663/1099923021815794494208*c_010\ 1_3*c_0101_5^3 + 8772675583991966402596367/199986003966508089856*c_\ 0101_3*c_0101_5^2 - 2520152238332219380591229/199986003966508089856\ *c_0101_3*c_0101_5 - 10394985916366189396281147/2199846043631588988\ 416*c_0101_3, c_0011_0 - 1, c_0011_3 - 1026405305816673595/12499125247906755616*c_0101_3*c_0101_5^1\ 3 + 1117047809782156917/3124781311976688904*c_0101_3*c_0101_5^12 + 76405628685570137573/12499125247906755616*c_0101_3*c_0101_5^11 + 304624623821681935847/12499125247906755616*c_0101_3*c_0101_5^10 + 1017038747694516382995/12499125247906755616*c_0101_3*c_0101_5^9 + 1627460384843322292061/12499125247906755616*c_0101_3*c_0101_5^8 + 244164889128693451087/1562390655988344452*c_0101_3*c_0101_5^7 + 1429811822871415619767/12499125247906755616*c_0101_3*c_0101_5^6 - 2447813667053105782299/12499125247906755616*c_0101_3*c_0101_5^5 - 554431947950669422043/12499125247906755616*c_0101_3*c_0101_5^4 - 531941080354248486869/12499125247906755616*c_0101_3*c_0101_5^3 + 2676737617907862313/6249562623953377808*c_0101_3*c_0101_5^2 + 62379637544910599163/12499125247906755616*c_0101_3*c_0101_5 - 3005628364803338339/6249562623953377808*c_0101_3, c_0101_0 - 4924412081469888347/24998250495813511232*c_0101_3*c_0101_5^1\ 3 + 20262010056953788331/24998250495813511232*c_0101_3*c_0101_5^12 + 371685376973706889281/24998250495813511232*c_0101_3*c_0101_5^11 + 387251273203868697541/6249562623953377808*c_0101_3*c_0101_5^10 + 2614243736942813803105/12499125247906755616*c_0101_3*c_0101_5^9 + 4486637617825193365165/12499125247906755616*c_0101_3*c_0101_5^8 + 11237182749529058796393/24998250495813511232*c_0101_3*c_0101_5^7 + 9096810829396581400303/24998250495813511232*c_0101_3*c_0101_5^6 - 315953944264037642209/781195327994172226*c_0101_3*c_0101_5^5 - 2744920385483242993259/12499125247906755616*c_0101_3*c_0101_5^4 - 1627332680888329688591/12499125247906755616*c_0101_3*c_0101_5^3 - 673069521503492012679/24998250495813511232*c_0101_3*c_0101_5^2 + 200847356118147716525/24998250495813511232*c_0101_3*c_0101_5 + 62678117384670076373/24998250495813511232*c_0101_3, c_0101_1 + 2046748925214377903/24998250495813511232*c_0101_5^13 - 9060471468917373909/24998250495813511232*c_0101_5^12 - 151883284550664498421/24998250495813511232*c_0101_5^11 - 297748230689206707557/12499125247906755616*c_0101_5^10 - 246254860698668346733/3124781311976688904*c_0101_5^9 - 760368147302996303489/6249562623953377808*c_0101_5^8 - 3472194169604380879387/24998250495813511232*c_0101_5^7 - 2255603229476334686471/24998250495813511232*c_0101_5^6 + 2739638261464185236257/12499125247906755616*c_0101_5^5 + 133340085530246893259/3124781311976688904*c_0101_5^4 + 158568968383562529765/6249562623953377808*c_0101_5^3 - 189217268297013406739/24998250495813511232*c_0101_5^2 - 205863141853448962317/24998250495813511232*c_0101_5 - 5832667179259412379/24998250495813511232, c_0101_3^2 - 2645803706067309085/24998250495813511232*c_0101_5^13 + 10757492348970411973/24998250495813511232*c_0101_5^12 + 200186348802857810335/24998250495813511232*c_0101_5^11 + 210540882821590856423/6249562623953377808*c_0101_5^10 + 1426560232550285527519/12499125247906755616*c_0101_5^9 + 2486300318420884319463/12499125247906755616*c_0101_5^8 + 6321982591400584672607/24998250495813511232*c_0101_5^7 + 5270692127291891270721/24998250495813511232*c_0101_5^6 - 634453750472401301925/3124781311976688904*c_0101_5^5 - 1554987103292746494189/12499125247906755616*c_0101_5^4 - 975356700907629824601/12499125247906755616*c_0101_5^3 - 500645729610815571937/24998250495813511232*c_0101_5^2 + 58507291546026088667/24998250495813511232*c_0101_5 - 6604904242362532693/24998250495813511232, c_0101_4 - 1245215981632601451/24998250495813511232*c_0101_5^13 + 5414714681391843855/24998250495813511232*c_0101_5^12 + 92827811101495971945/24998250495813511232*c_0101_5^11 + 46194828449354481855/3124781311976688904*c_0101_5^10 + 613775656302953803327/12499125247906755616*c_0101_5^9 + 973632802987815320067/12499125247906755616*c_0101_5^8 + 2268013030694151542589/24998250495813511232*c_0101_5^7 + 1560256819247524951095/24998250495813511232*c_0101_5^6 - 797495476228770218375/6249562623953377808*c_0101_5^5 - 433485958885590462721/12499125247906755616*c_0101_5^4 - 206443199749979909825/12499125247906755616*c_0101_5^3 + 85904026242470772357/24998250495813511232*c_0101_5^2 + 124861672549814062757/24998250495813511232*c_0101_5 - 956546849995366535/24998250495813511232, c_0101_5^14 - 4*c_0101_5^13 - 76*c_0101_5^12 - 323*c_0101_5^11 - 1094*c_0101_5^10 - 1928*c_0101_5^9 - 2437*c_0101_5^8 - 2016*c_0101_5^7 + 1959*c_0101_5^6 + 1446*c_0101_5^5 + 688*c_0101_5^4 + 155*c_0101_5^3 - 66*c_0101_5^2 - 18*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB