Magma V2.19-8 Tue Aug 20 2013 16:17:24 on localhost [Seed = 678016227] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1626 geometric_solution 5.37697032 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 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 -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 0.430413224624 0.247009441499 0 3 0 3 0132 0132 2310 2310 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 0 1 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 -0.747734635231 1.003005789413 4 0 5 0 0132 2310 0132 0132 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 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 0.821852140145 0.755996347914 1 1 4 5 3201 0132 3012 3012 0 0 0 0 0 1 -1 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 -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 0 0 0 0.295305095578 1.253170113630 2 3 4 4 0132 1230 1230 3012 0 0 0 0 0 0 -1 1 -1 0 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 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.115272412339 1.114385692915 6 6 3 2 0132 3201 1230 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 0.147795366804 1.649748577212 5 6 5 6 0132 2310 2310 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 -0.573413430803 0.524339711365 ==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_0011_5'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], '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' : negation(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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_5']})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 10383164894217/2817243122926*c_0101_5^17 + 1951761183102/1408621561463*c_0101_5^16 + 21640263183329/1408621561463*c_0101_5^15 - 2022535495954/1408621561463*c_0101_5^14 + 52984249127849/2817243122926*c_0101_5^13 + 11949301769337/2817243122926*c_0101_5^12 - 83842402008652/1408621561463*c_0101_5^11 - 59352370051681/2817243122926*c_0101_5^10 - 36896005852311/1408621561463*c_0101_5^9 + 84980471397675/2817243122926*c_0101_5^8 - 66188941358205/1408621561463*c_0101_5^7 + 228132644323954/1408621561463*c_0101_5^6 + 136126850365499/2817243122926*c_0101_5^5 - 277104010087422/1408621561463*c_0101_5^4 + 130797703001763/2817243122926*c_0101_5^3 + 64616570613955/1408621561463*c_0101_5^2 - 7083927830219/2817243122926*c_0101_5 - 18119880091260/1408621561463, c_0011_0 - 1, c_0011_2 - 121436462449/1408621561463*c_0101_5^17 - 139293810372/1408621561463*c_0101_5^16 + 399838306173/1408621561463*c_0101_5^15 + 584360260051/1408621561463*c_0101_5^14 + 1156229882616/1408621561463*c_0101_5^13 + 1698021018889/1408621561463*c_0101_5^12 - 272699000785/1408621561463*c_0101_5^11 - 1661099055834/1408621561463*c_0101_5^10 - 2659908389864/1408621561463*c_0101_5^9 - 2261406713116/1408621561463*c_0101_5^8 - 2964002947640/1408621561463*c_0101_5^7 + 574557674088/1408621561463*c_0101_5^6 + 4877771028966/1408621561463*c_0101_5^5 - 1876548045713/1408621561463*c_0101_5^4 - 2719679895912/1408621561463*c_0101_5^3 + 677465160769/1408621561463*c_0101_5^2 + 770997841668/1408621561463*c_0101_5 + 1020999939908/1408621561463, c_0011_5 + 244120232834/1408621561463*c_0101_5^17 + 198367128823/1408621561463*c_0101_5^16 - 912406185635/1408621561463*c_0101_5^15 - 1001759086718/1408621561463*c_0101_5^14 - 1903948412636/1408621561463*c_0101_5^13 - 2317434753469/1408621561463*c_0101_5^12 + 1919737416483/1408621561463*c_0101_5^11 + 4149566990913/1408621561463*c_0101_5^10 + 4943335229436/1408621561463*c_0101_5^9 + 2066822123900/1408621561463*c_0101_5^8 + 4277739370866/1408621561463*c_0101_5^7 - 5369425497513/1408621561463*c_0101_5^6 - 11597675936318/1408621561463*c_0101_5^5 + 4762145649178/1408621561463*c_0101_5^4 + 6003061357279/1408621561463*c_0101_5^3 - 856015011512/1408621561463*c_0101_5^2 - 2594421749688/1408621561463*c_0101_5 + 119657685641/1408621561463, c_0101_0 + 387621621555/1408621561463*c_0101_5^17 + 121436462449/1408621561463*c_0101_5^16 - 1411192675848/1408621561463*c_0101_5^15 - 787459927728/1408621561463*c_0101_5^14 - 2910089989381/1408621561463*c_0101_5^13 - 2706716368836/1408621561463*c_0101_5^12 + 3341060061326/1408621561463*c_0101_5^11 + 3761293594780/1408621561463*c_0101_5^10 + 5924936892939/1408621561463*c_0101_5^9 + 1884665146754/1408621561463*c_0101_5^8 + 8463352657996/1408621561463*c_0101_5^7 - 10990375428340/1408621561463*c_0101_5^6 - 9102233348298/1408621561463*c_0101_5^5 + 11014715454789/1408621561463*c_0101_5^4 + 1101304802603/1408621561463*c_0101_5^3 - 2707022805858/1408621561463*c_0101_5^2 - 1840330025434/1408621561463*c_0101_5 + 391867022997/1408621561463, c_0101_1 - 1, c_0101_2 + 71199147530/1408621561463*c_0101_5^17 + 97319487452/1408621561463*c_0101_5^16 - 344393806029/1408621561463*c_0101_5^15 - 504767858864/1408621561463*c_0101_5^14 - 369984212813/1408621561463*c_0101_5^13 - 709141560047/1408621561463*c_0101_5^12 + 1206626967188/1408621561463*c_0101_5^11 + 2686491996678/1408621561463*c_0101_5^10 + 1783721513178/1408621561463*c_0101_5^9 + 1013265564542/1408621561463*c_0101_5^8 + 113527444823/1408621561463*c_0101_5^7 - 1761537510043/1408621561463*c_0101_5^6 - 6965495916036/1408621561463*c_0101_5^5 + 1116142413003/1408621561463*c_0101_5^4 + 3460191125924/1408621561463*c_0101_5^3 - 2167039074897/1408621561463*c_0101_5^2 - 1611255002201/1408621561463*c_0101_5 - 553664909238/1408621561463, c_0101_5^18 - 4*c_0101_5^16 - c_0101_5^15 - 6*c_0101_5^14 - 4*c_0101_5^13 + 13*c_0101_5^12 + 9*c_0101_5^11 + 11*c_0101_5^10 - 2*c_0101_5^9 + 16*c_0101_5^8 - 36*c_0101_5^7 - 22*c_0101_5^6 + 41*c_0101_5^5 - 2*c_0101_5^4 - 14*c_0101_5^3 - 3*c_0101_5^2 + 3*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB