Magma V2.19-8 Tue Aug 20 2013 16:18:19 on localhost [Seed = 2463305659] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2528 geometric_solution 5.84272875 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 1 0 -1 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 0.421909335493 0.635478907211 3 3 4 0 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.705521989691 2.026693795283 5 6 0 4 0132 0132 0132 1302 0 0 0 0 0 -1 0 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 0 1 -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 -0.162943072374 1.073458955006 1 5 1 5 0132 1302 2310 2031 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 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 -0.384672565501 0.675924368798 6 6 2 1 2310 0321 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -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 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 0.447448699304 0.236161955055 2 3 6 3 0132 1302 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164016757539 0.992932198954 5 2 4 4 2310 0132 3201 0321 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 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 0.383657257173 1.347637315273 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : 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' : 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_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 238273219/58292857*c_0101_4^13 + 924246115/58292857*c_0101_4^12 + 380147262/58292857*c_0101_4^11 + 15831440/1421777*c_0101_4^10 + 1462346320/58292857*c_0101_4^9 - 394742990/8327551*c_0101_4^8 - 2042513020/58292857*c_0101_4^7 + 3066030938/58292857*c_0101_4^6 - 10268233966/58292857*c_0101_4^5 + 9103296148/58292857*c_0101_4^4 - 5205064660/58292857*c_0101_4^3 + 2510187397/58292857*c_0101_4^2 + 977809790/58292857*c_0101_4 - 491891151/58292857, c_0011_0 - 1, c_0011_1 + 2417597/8327551*c_0101_4^13 + 9299067/8327551*c_0101_4^12 + 2582070/8327551*c_0101_4^11 + 96075/203111*c_0101_4^10 + 20261185/8327551*c_0101_4^9 - 19227930/8327551*c_0101_4^8 - 17368674/8327551*c_0101_4^7 + 51452588/8327551*c_0101_4^6 - 94176657/8327551*c_0101_4^5 + 65406320/8327551*c_0101_4^4 - 15078724/8327551*c_0101_4^3 - 10842632/8327551*c_0101_4^2 + 20344889/8327551*c_0101_4 - 7012084/8327551, c_0011_2 - 1716037/8327551*c_0101_4^13 - 4497127/8327551*c_0101_4^12 + 7084815/8327551*c_0101_4^11 + 57275/203111*c_0101_4^10 - 11450377/8327551*c_0101_4^9 + 31661832/8327551*c_0101_4^8 + 3931793/8327551*c_0101_4^7 - 58178809/8327551*c_0101_4^6 + 111629235/8327551*c_0101_4^5 - 93843432/8327551*c_0101_4^4 + 35085976/8327551*c_0101_4^3 + 12717826/8327551*c_0101_4^2 - 26595167/8327551*c_0101_4 + 4166702/8327551, c_0011_4 + 1237676/8327551*c_0101_4^13 + 4334048/8327551*c_0101_4^12 - 477253/8327551*c_0101_4^11 + 25863/203111*c_0101_4^10 + 11192170/8327551*c_0101_4^9 - 7039089/8327551*c_0101_4^8 + 2258985/8327551*c_0101_4^7 + 39358189/8327551*c_0101_4^6 - 46902498/8327551*c_0101_4^5 + 43860156/8327551*c_0101_4^4 - 25783516/8327551*c_0101_4^3 - 6498195/8327551*c_0101_4^2 + 1880514/8327551*c_0101_4 - 3596871/8327551, c_0101_1 + 3386164/8327551*c_0101_4^13 + 14386660/8327551*c_0101_4^12 + 8372971/8327551*c_0101_4^11 + 48538/203111*c_0101_4^10 + 15127603/8327551*c_0101_4^9 - 31365321/8327551*c_0101_4^8 - 46241495/8327551*c_0101_4^7 + 48114240/8327551*c_0101_4^6 - 89791132/8327551*c_0101_4^5 + 65150155/8327551*c_0101_4^4 - 3602591/8327551*c_0101_4^3 + 5501041/8327551*c_0101_4^2 + 13483574/8327551*c_0101_4 - 3034298/8327551, c_0101_2 + 45874/203111*c_0101_4^13 + 211041/203111*c_0101_4^12 + 242549/203111*c_0101_4^11 + 332101/203111*c_0101_4^10 + 396688/203111*c_0101_4^9 - 290297/203111*c_0101_4^8 - 434246/203111*c_0101_4^7 + 17293/203111*c_0101_4^6 - 1746434/203111*c_0101_4^5 + 1486956/203111*c_0101_4^4 - 1091290/203111*c_0101_4^3 + 763600/203111*c_0101_4^2 + 299387/203111*c_0101_4 - 207425/203111, c_0101_4^14 + 4*c_0101_4^13 + 2*c_0101_4^12 + 3*c_0101_4^11 + 8*c_0101_4^10 - 9*c_0101_4^9 - 8*c_0101_4^8 + 17*c_0101_4^7 - 40*c_0101_4^6 + 30*c_0101_4^5 - 10*c_0101_4^4 - 2*c_0101_4^3 + 9*c_0101_4^2 - 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB