Magma V2.19-8 Tue Aug 20 2013 16:15:51 on localhost [Seed = 3616951293] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0077 geometric_solution 3.62579642 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 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 -1.614272470662 0.125052577207 0 0 2 2 2310 0132 3201 0132 0 0 0 0 0 1 1 -2 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 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 0.376907950156 0.058748286019 1 3 1 4 2310 0132 0132 0132 0 0 0 0 0 -1 2 -1 -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 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 0 0 0 0.408256255706 0.230982858053 5 2 6 4 0132 0132 0132 1230 0 0 0 0 0 1 -1 0 1 0 -1 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 0 0 0.195510387745 1.557375208674 3 6 2 5 3012 2031 0132 3201 0 0 0 0 0 -1 1 0 0 0 -1 1 0 -1 0 1 -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 -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 -2.863984774094 1.926691764679 3 4 6 6 0132 2310 0321 2031 0 0 0 0 0 -1 0 1 -1 0 0 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 0.990664780719 1.963348339223 4 5 5 3 1302 1302 0321 0132 0 0 0 0 0 -1 0 1 -1 0 0 1 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.990664780719 1.963348339223 ==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' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(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_6'], '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_0011_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_3']), '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_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 93009979871264240917578476/2625188240091048979694963*c_0101_3^16 - 741771780126493071212534400/2625188240091048979694963*c_0101_3^14 + 46895553669045436382824816596/2625188240091048979694963*c_0101_3^12 - 66455653664006932557184996836/375026891441578425670709*c_0101_3^1\ 0 + 1012086366979716426100464116192/2625188240091048979694963*c_010\ 1_3^8 - 1145723259058536362507923342446/2625188240091048979694963*c\ _0101_3^6 + 270874331663081344340313666160/262518824009104897969496\ 3*c_0101_3^4 - 67423974766355047908619385572/2625188240091048979694\ 963*c_0101_3^2 + 2090166183865612433005697738/262518824009104897969\ 4963, c_0011_0 - 1, c_0011_2 - 153977209792372428884/34093353767416220515519*c_0101_3^16 - 1313701138421639919008/34093353767416220515519*c_0101_3^14 + 76957104912737859134312/34093353767416220515519*c_0101_3^12 - 726850268859673481924548/34093353767416220515519*c_0101_3^10 + 1244200092157566616512020/34093353767416220515519*c_0101_3^8 - 942854996452048731835626/34093353767416220515519*c_0101_3^6 - 608103608981895330735708/34093353767416220515519*c_0101_3^4 + 90958894006569632319858/34093353767416220515519*c_0101_3^2 - 13776779700313927359328/34093353767416220515519, c_0011_4 - 5379660435144553590020/34093353767416220515519*c_0101_3^17 - 43120729987405565126176/34093353767416220515519*c_0101_3^15 + 2710655170278487135163360/34093353767416220515519*c_0101_3^13 - 26797285159020463559281972/34093353767416220515519*c_0101_3^11 + 57471166491119960089636888/34093353767416220515519*c_0101_3^9 - 64078077489280983379048698/34093353767416220515519*c_0101_3^7 + 13338202102312202598195952/34093353767416220515519*c_0101_3^5 - 3652901968420213615206634/34093353767416220515519*c_0101_3^3 - 10905962101957274954273/34093353767416220515519*c_0101_3, c_0011_6 - 677496784966949890816/34093353767416220515519*c_0101_3^16 - 5403386662338477506904/34093353767416220515519*c_0101_3^14 + 341603244878605658667392/34093353767416220515519*c_0101_3^12 - 3388298260321321576275692/34093353767416220515519*c_0101_3^10 + 7365085371664482964117000/34093353767416220515519*c_0101_3^8 - 8282866108364260286341132/34093353767416220515519*c_0101_3^6 + 1832447663629929321471532/34093353767416220515519*c_0101_3^4 - 369570464857251747242906/34093353767416220515519*c_0101_3^2 + 1607845280982416452787/34093353767416220515519, c_0101_0 + 9102329487136342446600/34093353767416220515519*c_0101_3^17 + 72683357293648086916132/34093353767416220515519*c_0101_3^15 - 4588659356756640795662876/34093353767416220515519*c_0101_3^13 + 45479666708118474504523172/34093353767416220515519*c_0101_3^11 - 98596315586542019780499804/34093353767416220515519*c_0101_3^9 + 111169540734779890952668400/34093353767416220515519*c_0101_3^7 - 25496799388537017939513586/34093353767416220515519*c_0101_3^5 + 6472267153094557696108534/34093353767416220515519*c_0101_3^3 - 190574456994619718184143/34093353767416220515519*c_0101_3, c_0101_1 + 5099482625211756895100/34093353767416220515519*c_0101_3^17 + 40809237964507848759012/34093353767416220515519*c_0101_3^15 - 2570017012495838673624576/34093353767416220515519*c_0101_3^13 + 25434696828217500722845164/34093353767416220515519*c_0101_3^11 - 54801175764959894946906740/34093353767416220515519*c_0101_3^9 + 61404591998010902877365358/34093353767416220515519*c_0101_3^7 - 13373114948089952679387654/34093353767416220515519*c_0101_3^5 + 3587192824066144839509470/34093353767416220515519*c_0101_3^3 - 120202485540358854758525/34093353767416220515519*c_0101_3, c_0101_3^18 + 8*c_0101_3^16 - 504*c_0101_3^14 + 4989*c_0101_3^12 - 10758*c_0101_3^10 + 24109/2*c_0101_3^8 - 2620*c_0101_3^6 + 1335/2*c_0101_3^4 - 15/2*c_0101_3^2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB