Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 122067758] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0047 geometric_solution 3.61300647 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.418305750147 0.307081945549 0 1 1 0 0132 1230 3012 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 -0.463958184704 0.075636304684 3 4 5 0 1302 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 -1 1 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 1.268814773197 0.270303912304 4 2 0 6 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.268814773197 0.270303912304 6 2 3 5 1230 0132 3201 1230 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 1 0 -1 0 0 0 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.320190678302 0.477382406351 4 6 6 2 3012 0321 2103 0132 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 1 -1 1 0 -1 0 0 -1 0 1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795814210026 0.409425985488 5 4 3 5 2103 3012 0132 0321 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 0 -1 -1 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795814210026 0.409425985488 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(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' : d['c_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_5'], '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_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 2119807952669311199/149843147038917888*c_0101_4^15 - 5047292174611983481/74921573519458944*c_0101_4^14 - 15266425628727219313/37460786759729472*c_0101_4^13 - 28470525621586098977/74921573519458944*c_0101_4^12 - 650503598729982377783/149843147038917888*c_0101_4^11 + 13712148242900698337/18730393379864736*c_0101_4^10 - 604817921614581670583/37460786759729472*c_0101_4^9 + 78688792397980635607/12486928919909824*c_0101_4^8 - 2154421823559517658845/74921573519458944*c_0101_4^7 + 1702414349896661114431/149843147038917888*c_0101_4^6 - 1326452471616787380407/49947715679639296*c_0101_4^5 + 433598270855233403307/49947715679639296*c_0101_4^4 - 617301371293997746621/49947715679639296*c_0101_4^3 + 53686377375573533407/18730393379864736*c_0101_4^2 - 86326427642734492589/37460786759729472*c_0101_4 + 5023929039851667991/18730393379864736, c_0011_0 - 1, c_0011_2 + 98193383338595/1560866114988728*c_0101_4^15 + 185934048151485/390216528747182*c_0101_4^14 + 538902747510232/195108264373591*c_0101_4^13 + 5633488238413435/780433057494364*c_0101_4^12 + 41575652259023767/1560866114988728*c_0101_4^11 + 39784464871558687/780433057494364*c_0101_4^10 + 34955320441861279/390216528747182*c_0101_4^9 + 54916548630680097/390216528747182*c_0101_4^8 + 106851804706644841/780433057494364*c_0101_4^7 + 281230395949719497/1560866114988728*c_0101_4^6 + 168960607316776487/1560866114988728*c_0101_4^5 + 172083053565648137/1560866114988728*c_0101_4^4 + 66521330483810377/1560866114988728*c_0101_4^3 + 22053926720158483/780433057494364*c_0101_4^2 + 2128715365820069/390216528747182*c_0101_4 + 234927077231488/195108264373591, c_0011_3 - 98193383338595/1560866114988728*c_0101_4^15 - 185934048151485/390216528747182*c_0101_4^14 - 538902747510232/195108264373591*c_0101_4^13 - 5633488238413435/780433057494364*c_0101_4^12 - 41575652259023767/1560866114988728*c_0101_4^11 - 39784464871558687/780433057494364*c_0101_4^10 - 34955320441861279/390216528747182*c_0101_4^9 - 54916548630680097/390216528747182*c_0101_4^8 - 106851804706644841/780433057494364*c_0101_4^7 - 281230395949719497/1560866114988728*c_0101_4^6 - 168960607316776487/1560866114988728*c_0101_4^5 - 172083053565648137/1560866114988728*c_0101_4^4 - 66521330483810377/1560866114988728*c_0101_4^3 - 22053926720158483/780433057494364*c_0101_4^2 - 2128715365820069/390216528747182*c_0101_4 - 234927077231488/195108264373591, c_0011_5 - 12518510001711/195108264373591*c_0101_4^15 - 60405498227874/195108264373591*c_0101_4^14 - 1418530665309409/780433057494364*c_0101_4^13 - 1200182787501797/780433057494364*c_0101_4^12 - 14081654498200823/780433057494364*c_0101_4^11 + 4075350990764537/780433057494364*c_0101_4^10 - 21927583174966355/390216528747182*c_0101_4^9 + 15065038184262301/390216528747182*c_0101_4^8 - 29793521631710701/390216528747182*c_0101_4^7 + 26898253081846481/390216528747182*c_0101_4^6 - 9230169620038561/195108264373591*c_0101_4^5 + 39174188107780173/780433057494364*c_0101_4^4 - 1739519821375457/195108264373591*c_0101_4^3 + 11023365920239931/780433057494364*c_0101_4^2 + 235384143576321/195108264373591*c_0101_4 + 110758000515693/195108264373591, c_0101_0 + 3225729806173/1560866114988728*c_0101_4^15 + 140624232414715/390216528747182*c_0101_4^14 + 370802247561766/195108264373591*c_0101_4^13 + 8398649544702975/780433057494364*c_0101_4^12 + 21537867799451733/1560866114988728*c_0101_4^11 + 82111704156506163/780433057494364*c_0101_4^10 + 5142590965092383/195108264373591*c_0101_4^9 + 126927625893026451/390216528747182*c_0101_4^8 + 2257455055166975/780433057494364*c_0101_4^7 + 699806144706055487/1560866114988728*c_0101_4^6 - 15290927251235543/1560866114988728*c_0101_4^5 + 461464665248634495/1560866114988728*c_0101_4^4 + 9026144013391619/1560866114988728*c_0101_4^3 + 65443705604437413/780433057494364*c_0101_4^2 + 1361677250199912/195108264373591*c_0101_4 + 887337770315771/195108264373591, c_0101_1 - 413354481960581/1560866114988728*c_0101_4^15 - 905842071834507/780433057494364*c_0101_4^14 - 5382481856484041/780433057494364*c_0101_4^13 - 1152228777222343/390216528747182*c_0101_4^12 - 111008898635564223/1560866114988728*c_0101_4^11 + 40760178993502831/780433057494364*c_0101_4^10 - 45391958944719153/195108264373591*c_0101_4^9 + 45019487058374474/195108264373591*c_0101_4^8 - 267162055095488941/780433057494364*c_0101_4^7 + 544040216381300641/1560866114988728*c_0101_4^6 - 358459927007787647/1560866114988728*c_0101_4^5 + 362095659896802361/1560866114988728*c_0101_4^4 - 85700444644257701/1560866114988728*c_0101_4^3 + 48681589512766169/780433057494364*c_0101_4^2 + 1118201223916275/390216528747182*c_0101_4 + 495656745430004/195108264373591, c_0101_4^16 + 5*c_0101_4^15 + 30*c_0101_4^14 + 34*c_0101_4^13 + 315*c_0101_4^12 + 23*c_0101_4^11 + 1148*c_0101_4^10 - 176*c_0101_4^9 + 2002*c_0101_4^8 - 343*c_0101_4^7 + 1828*c_0101_4^6 - 210*c_0101_4^5 + 864*c_0101_4^4 - 25*c_0101_4^3 + 180*c_0101_4^2 + 12*c_0101_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB