Magma V2.19-8 Tue Aug 20 2013 16:17:43 on localhost [Seed = 2917937473] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1956 geometric_solution 5.53888219 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.487522632889 0.244730130724 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 1 -1 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 1 1 -2 0 0 0 0 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.121745719110 0.325552848274 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -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 -1 0 1 0 0 -1 1 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711050206813 0.411458094723 2 5 4 6 0132 0132 3201 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 0 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353755705207 0.917371117293 3 6 2 5 2310 0132 0132 1023 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 -1 1 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 0.353755705207 0.917371117293 5 3 5 4 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.535500923689 0.430167380364 6 4 3 6 3012 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082282652540 0.831325316947 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 213/34*c_0110_5^6 - 4847/34*c_0110_5^4 + 1559/34*c_0110_5^2 + 167/17, c_0011_0 - 1, c_0011_1 + 14/17*c_0110_5^6 - 328/17*c_0110_5^4 + 319/17*c_0110_5^2 - 49/17, c_0011_4 - 8/17*c_0110_5^7 + 185/17*c_0110_5^5 - 124/17*c_0110_5^3 - 23/17*c_0110_5, c_0101_0 - 8/17*c_0110_5^7 + 185/17*c_0110_5^5 - 124/17*c_0110_5^3 - 23/17*c_0110_5, c_0101_2 + 19/17*c_0110_5^7 - 450/17*c_0110_5^5 + 541/17*c_0110_5^3 - 126/17*c_0110_5, c_0101_3 + 13/17*c_0110_5^6 - 307/17*c_0110_5^4 + 346/17*c_0110_5^2 - 71/17, c_0110_5^8 - 24*c_0110_5^6 + 36*c_0110_5^4 - 16*c_0110_5^2 + 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 10796645076119953273/1106464094747727617*c_0110_5^20 - 19964030636922767598/100587644977066147*c_0110_5^18 + 173781431982609047204/1106464094747727617*c_0110_5^16 + 1839095829336273200976/100587644977066147*c_0110_5^14 - 51963258520114670981179/1106464094747727617*c_0110_5^12 + 73609035094470650586102/1106464094747727617*c_0110_5^10 - 83578935427643643009804/1106464094747727617*c_0110_5^8 + 53548490377685477779680/1106464094747727617*c_0110_5^6 - 15064262143049940334992/1106464094747727617*c_0110_5^4 + 1390202628693142343269/1106464094747727617*c_0110_5^2 - 55600845462879718998/1106464094747727617, c_0011_0 - 1, c_0011_1 - 198649307739245793/1106464094747727617*c_0110_5^20 - 4031243774140727176/1106464094747727617*c_0110_5^18 + 3377098946088445393/1106464094747727617*c_0110_5^16 + 33806401436538544444/100587644977066147*c_0110_5^14 - 973460496190335405928/1106464094747727617*c_0110_5^12 + 1416670196771731105801/1106464094747727617*c_0110_5^10 - 1635733689826728871937/1106464094747727617*c_0110_5^8 + 1098872430254152861959/1106464094747727617*c_0110_5^6 - 367418623778431581797/1106464094747727617*c_0110_5^4 + 54308754832745613592/1106464094747727617*c_0110_5^2 - 1917352722697600178/1106464094747727617, c_0011_4 + 86952532844845499/1106464094747727617*c_0110_5^21 + 1839923037905123691/1106464094747727617*c_0110_5^19 + 57827341385899796/1106464094747727617*c_0110_5^17 - 14902120296580057613/100587644977066147*c_0110_5^15 + 284910829880781617196/1106464094747727617*c_0110_5^13 - 262913282226903296366/1106464094747727617*c_0110_5^11 + 209054345118991206796/1106464094747727617*c_0110_5^9 + 94457329725643448136/1106464094747727617*c_0110_5^7 - 204299438314995501765/1106464094747727617*c_0110_5^5 + 7501720804031928562/100587644977066147*c_0110_5^3 - 9332995181044663467/1106464094747727617*c_0110_5, c_0101_0 + 397480486103267341/1106464094747727617*c_0110_5^21 + 8150285420562015262/1106464094747727617*c_0110_5^19 - 5040923605665151029/1106464094747727617*c_0110_5^17 - 67756666777835877668/100587644977066147*c_0110_5^15 + 1790072735861178976100/1106464094747727617*c_0110_5^13 - 2440350438248209602327/1106464094747727617*c_0110_5^11 + 2731556534370346556328/1106464094747727617*c_0110_5^9 - 1596817120738087861628/1106464094747727617*c_0110_5^7 + 34045718535126071806/100587644977066147*c_0110_5^5 - 33350699512781083590/1106464094747727617*c_0110_5^3 + 4752723952209988585/1106464094747727617*c_0110_5, c_0101_2 + 437731835288288031/1106464094747727617*c_0110_5^21 + 8808870410976222428/1106464094747727617*c_0110_5^19 - 8977850369933512079/1106464094747727617*c_0110_5^17 - 74439062618066733457/100587644977066147*c_0110_5^15 + 2284094138949273406769/1106464094747727617*c_0110_5^13 - 311402336668521319459/100587644977066147*c_0110_5^11 + 4004306280088126290348/1106464094747727617*c_0110_5^9 - 2866721569998986977276/1106464094747727617*c_0110_5^7 + 1038953501224907119303/1106464094747727617*c_0110_5^5 - 170112026844557791635/1106464094747727617*c_0110_5^3 + 10567489181058365804/1106464094747727617*c_0110_5, c_0101_3 - 364151316805381620/1106464094747727617*c_0110_5^20 - 7418913999496790694/1106464094747727617*c_0110_5^18 + 5592776835981251693/1106464094747727617*c_0110_5^16 + 62002510004391902899/100587644977066147*c_0110_5^14 - 1729979370285678013008/1106464094747727617*c_0110_5^12 + 2468425540663177540692/1106464094747727617*c_0110_5^10 - 2820404752524886828527/1106464094747727617*c_0110_5^8 + 1815240260160536669773/1106464094747727617*c_0110_5^6 - 557855370161385760968/1106464094747727617*c_0110_5^4 + 70505853346977870137/1106464094747727617*c_0110_5^2 - 2182089982100808888/1106464094747727617, c_0110_5^22 + 20*c_0110_5^20 - 23*c_0110_5^18 - 1868*c_0110_5^16 + 5450*c_0110_5^14 - 8478*c_0110_5^12 + 10109*c_0110_5^10 - 7656*c_0110_5^8 + 3150*c_0110_5^6 - 635*c_0110_5^4 + 52*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB