Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 1797977616] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3277 geometric_solution 6.40087625 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 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 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 0.638136558827 0.844046749697 0 4 0 5 0132 0132 0213 0132 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 1 -1 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 0.502359926501 0.430803813969 5 3 6 0 1023 2103 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 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 0.795757814137 1.713460762164 6 2 0 4 1023 2103 0132 2103 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 -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 0.674732640277 1.051242973492 6 1 6 3 2103 0132 1302 2103 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 -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 0 0 0 0 0.679627731647 0.322514572728 5 2 1 5 3201 1023 0132 2310 0 0 0 0 0 0 0 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 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 0.330098525579 0.851375930806 4 3 4 2 2031 1023 2103 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 -1 0 1 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 0.168463608091 0.640926796529 ==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_0110_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : negation(d['c_1001_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_2']})} 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_0101_0, c_0101_2, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 136634701100109/293721753656660*c_1001_0^16 + 540814184162687/293721753656660*c_1001_0^15 + 608887993491293/293721753656660*c_1001_0^14 + 438878785192563/293721753656660*c_1001_0^13 + 2769023842906457/293721753656660*c_1001_0^12 + 569066581739431/29372175365666*c_1001_0^11 + 42848842081261/146860876828330*c_1001_0^10 - 3411461539437513/293721753656660*c_1001_0^9 + 11957134797075999/293721753656660*c_1001_0^8 + 7428498226114177/146860876828330*c_1001_0^7 - 3111943288920359/293721753656660*c_1001_0^6 + 1232352423990111/293721753656660*c_1001_0^5 + 6802671205097791/146860876828330*c_1001_0^4 + 94074725614987/4196025052238*c_1001_0^3 - 443513393427799/293721753656660*c_1001_0^2 + 6579032697985499/293721753656660*c_1001_0 + 1935469822451206/73430438414165, c_0011_0 - 1, c_0011_2 + 68141637663/2098012526119*c_1001_0^16 + 72338221297/2098012526119*c_1001_0^15 + 5279496542/2098012526119*c_1001_0^14 + 418768021435/2098012526119*c_1001_0^13 + 1081972399947/2098012526119*c_1001_0^12 - 6313587469/110421711901*c_1001_0^11 - 497283738602/2098012526119*c_1001_0^10 + 4279104503382/2098012526119*c_1001_0^9 + 324773859005/2098012526119*c_1001_0^8 - 5069330217676/2098012526119*c_1001_0^7 + 4235008011273/2098012526119*c_1001_0^6 + 3940991299393/2098012526119*c_1001_0^5 - 2177655834942/2098012526119*c_1001_0^4 - 2651008532006/2098012526119*c_1001_0^3 + 1432979164392/2098012526119*c_1001_0^2 + 619420325306/2098012526119*c_1001_0 - 1951495614742/2098012526119, c_0011_3 + 132202115956/2098012526119*c_1001_0^16 + 371382134880/2098012526119*c_1001_0^15 + 313713132705/2098012526119*c_1001_0^14 + 564905056574/2098012526119*c_1001_0^13 + 2510166405978/2098012526119*c_1001_0^12 + 159761439065/110421711901*c_1001_0^11 - 912371574091/2098012526119*c_1001_0^10 + 1891644401233/2098012526119*c_1001_0^9 + 8026189157414/2098012526119*c_1001_0^8 + 1986176694492/2098012526119*c_1001_0^7 + 1544119753087/2098012526119*c_1001_0^6 + 7363662952198/2098012526119*c_1001_0^5 + 4338900215062/2098012526119*c_1001_0^4 - 1474622885092/2098012526119*c_1001_0^3 + 1767911636748/2098012526119*c_1001_0^2 + 5264967055754/2098012526119*c_1001_0 + 519123096806/2098012526119, c_0101_0 + 5225823966/2098012526119*c_1001_0^16 + 65853516470/2098012526119*c_1001_0^15 + 71478997757/2098012526119*c_1001_0^14 + 72458569269/2098012526119*c_1001_0^13 + 477212318425/2098012526119*c_1001_0^12 + 49355151615/110421711901*c_1001_0^11 + 90950041192/2098012526119*c_1001_0^10 + 402354618946/2098012526119*c_1001_0^9 + 3755279190546/2098012526119*c_1001_0^8 - 272576749204/2098012526119*c_1001_0^7 - 1775432779262/2098012526119*c_1001_0^6 + 5867124209664/2098012526119*c_1001_0^5 + 2373328223469/2098012526119*c_1001_0^4 - 1358492186672/2098012526119*c_1001_0^3 + 627056375666/2098012526119*c_1001_0^2 + 3754453657301/2098012526119*c_1001_0 + 391592042664/2098012526119, c_0101_2 - 17965593091/2098012526119*c_1001_0^16 - 11310871472/2098012526119*c_1001_0^15 + 56727424795/2098012526119*c_1001_0^14 - 35620534398/2098012526119*c_1001_0^13 - 274870118412/2098012526119*c_1001_0^12 + 15776168975/110421711901*c_1001_0^11 + 936219125310/2098012526119*c_1001_0^10 - 947117054082/2098012526119*c_1001_0^9 - 811609390815/2098012526119*c_1001_0^8 + 3482027101190/2098012526119*c_1001_0^7 + 1480567303377/2098012526119*c_1001_0^6 - 1896889985782/2098012526119*c_1001_0^5 + 793034528440/2098012526119*c_1001_0^4 + 3283290731638/2098012526119*c_1001_0^3 + 2107215710303/2098012526119*c_1001_0^2 - 337570585928/2098012526119*c_1001_0 + 1977624734572/2098012526119, c_0110_4 - 206232567360/2098012526119*c_1001_0^16 - 440882620877/2098012526119*c_1001_0^15 - 5487113362/2098012526119*c_1001_0^14 - 238420043718/2098012526119*c_1001_0^13 - 3257295896078/2098012526119*c_1001_0^12 - 124589780394/110421711901*c_1001_0^11 + 5798660620749/2098012526119*c_1001_0^10 - 1936146030760/2098012526119*c_1001_0^9 - 14944636197426/2098012526119*c_1001_0^8 - 15291699742/2098012526119*c_1001_0^7 + 6914283149947/2098012526119*c_1001_0^6 - 5534925287157/2098012526119*c_1001_0^5 - 8511276814801/2098012526119*c_1001_0^4 + 630286394448/2098012526119*c_1001_0^3 - 1672352706638/2098012526119*c_1001_0^2 - 6750741991195/2098012526119*c_1001_0 - 45281459557/2098012526119, c_1001_0^17 + 3*c_1001_0^16 + 2*c_1001_0^15 + 2*c_1001_0^14 + 18*c_1001_0^13 + 25*c_1001_0^12 - 17*c_1001_0^11 - 7*c_1001_0^10 + 81*c_1001_0^9 + 41*c_1001_0^8 - 36*c_1001_0^7 + 29*c_1001_0^6 + 63*c_1001_0^5 + 5*c_1001_0^4 - c_1001_0^3 + 41*c_1001_0^2 + 21*c_1001_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB