Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 661043739] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2694 geometric_solution 5.94929854 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 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 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 0.002003502003 0.700509085304 0 3 5 4 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493033853119 1.130079079389 0 0 6 5 3201 0132 0132 2031 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 -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 0.906183234047 0.987864046298 4 6 1 0 1023 1230 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493033853119 1.130079079389 4 3 1 4 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 1.380659400985 0.826288612809 6 2 6 1 0213 1302 2310 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 -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 0.362733171415 0.304119803609 5 5 3 2 0213 3201 3012 0132 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 -1 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 1.278117842745 0.609950070974 ==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' : 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' : d['c_0101_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], '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' : d['c_0011_5'], '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' : d['c_0110_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0110_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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 230435056217652412/71209219166182595*c_0110_2^12 - 1874804090650466961/142418438332365190*c_0110_2^11 - 4684846946584956343/71209219166182595*c_0110_2^10 - 550164093884244429/71209219166182595*c_0110_2^9 + 21706918069420009371/142418438332365190*c_0110_2^8 + 13703908827529240801/142418438332365190*c_0110_2^7 - 14955762758428622393/142418438332365190*c_0110_2^6 - 7605440294945291138/71209219166182595*c_0110_2^5 - 87503726857543701/142418438332365190*c_0110_2^4 + 8650865102957561801/142418438332365190*c_0110_2^3 + 4515486453148211608/71209219166182595*c_0110_2^2 + 531135559443787464/14241843833236519*c_0110_2 - 270868954867895971/142418438332365190, c_0011_0 - 1, c_0011_3 + 6707695412019371/14241843833236519*c_0110_2^12 - 39937667949102115/14241843833236519*c_0110_2^11 - 61474539537386741/14241843833236519*c_0110_2^10 + 98522757844403151/14241843833236519*c_0110_2^9 + 156133884192068822/14241843833236519*c_0110_2^8 - 58655469108913302/14241843833236519*c_0110_2^7 - 145894456061303382/14241843833236519*c_0110_2^6 - 50462352966594654/14241843833236519*c_0110_2^5 + 57464999475218588/14241843833236519*c_0110_2^4 + 94778852495257409/14241843833236519*c_0110_2^3 + 37360740060035371/14241843833236519*c_0110_2^2 - 21059600819065036/14241843833236519*c_0110_2 - 21887390095047813/14241843833236519, c_0011_5 - 7735833733711538/14241843833236519*c_0110_2^12 + 44679510544404723/14241843833236519*c_0110_2^11 + 80656728463094877/14241843833236519*c_0110_2^10 - 111807276450149706/14241843833236519*c_0110_2^9 - 205152357367179154/14241843833236519*c_0110_2^8 + 76705521134706703/14241843833236519*c_0110_2^7 + 186802435143574655/14241843833236519*c_0110_2^6 + 27115594219715777/14241843833236519*c_0110_2^5 - 69791147480296889/14241843833236519*c_0110_2^4 - 95689150480385229/14241843833236519*c_0110_2^3 - 45508595798710766/14241843833236519*c_0110_2^2 + 22472348842909517/14241843833236519*c_0110_2 + 21328474977252069/14241843833236519, c_0101_0 - 2243812808596226/14241843833236519*c_0110_2^12 + 11568440830781881/14241843833236519*c_0110_2^11 + 32780523627292875/14241843833236519*c_0110_2^10 - 26642106036426662/14241843833236519*c_0110_2^9 - 85901995206037793/14241843833236519*c_0110_2^8 - 2929900922830352/14241843833236519*c_0110_2^7 + 81466110663312737/14241843833236519*c_0110_2^6 + 53429303402537493/14241843833236519*c_0110_2^5 - 22622467210777730/14241843833236519*c_0110_2^4 - 63378895015597482/14241843833236519*c_0110_2^3 - 31286507706118308/14241843833236519*c_0110_2^2 + 8197563974828335/14241843833236519*c_0110_2 + 20615202421217474/14241843833236519, c_0101_1 - 7735833733711538/14241843833236519*c_0110_2^12 + 44679510544404723/14241843833236519*c_0110_2^11 + 80656728463094877/14241843833236519*c_0110_2^10 - 111807276450149706/14241843833236519*c_0110_2^9 - 205152357367179154/14241843833236519*c_0110_2^8 + 76705521134706703/14241843833236519*c_0110_2^7 + 186802435143574655/14241843833236519*c_0110_2^6 + 27115594219715777/14241843833236519*c_0110_2^5 - 69791147480296889/14241843833236519*c_0110_2^4 - 95689150480385229/14241843833236519*c_0110_2^3 - 45508595798710766/14241843833236519*c_0110_2^2 + 22472348842909517/14241843833236519*c_0110_2 + 21328474977252069/14241843833236519, c_0101_3 + 612257273026203/14241843833236519*c_0110_2^12 - 4572591176368891/14241843833236519*c_0110_2^11 + 677986394098904/14241843833236519*c_0110_2^10 + 11215083148477699/14241843833236519*c_0110_2^9 + 5173713731426578/14241843833236519*c_0110_2^8 - 9664100788233505/14241843833236519*c_0110_2^7 - 20413200647478739/14241843833236519*c_0110_2^6 - 2059473683780756/14241843833236519*c_0110_2^5 + 22349175086980778/14241843833236519*c_0110_2^4 + 9489468994040684/14241843833236519*c_0110_2^3 + 10852450162542954/14241843833236519*c_0110_2^2 - 8434504317409390/14241843833236519*c_0110_2 - 11036396963813339/14241843833236519, c_0110_2^13 - 38/7*c_0110_2^12 - 88/7*c_0110_2^11 + 81/7*c_0110_2^10 + 233/7*c_0110_2^9 - c_0110_2^8 - 32*c_0110_2^7 - 103/7*c_0110_2^6 + 11*c_0110_2^5 + 128/7*c_0110_2^4 + 68/7*c_0110_2^3 - 15/7*c_0110_2^2 - 38/7*c_0110_2 - 10/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB