Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 4273955559] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s653 geometric_solution 5.14606452 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 -1 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 0.473072243386 0.329223007075 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.575877749088 0.991082897893 3 0 4 1 3201 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.575877749088 0.991082897893 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.253450318540 1.120852562831 5 5 1 2 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.046978751044 1.446157025692 4 5 5 4 0132 1230 3012 3201 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.190954919683 0.499858145888 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 675223050624/30268877539*c_0110_2^16 - 1363169789744/30268877539*c_0110_2^15 - 5900682719796/30268877539*c_0110_2^14 + 7240838068381/30268877539*c_0110_2^13 - 800490546530/30268877539*c_0110_2^12 - 1778930756425/30268877539*c_0110_2^11 + 20261813783773/30268877539*c_0110_2^10 - 23855484582933/30268877539*c_0110_2^9 - 6474397409741/30268877539*c_0110_2^8 + 54380475245380/30268877539*c_0110_2^7 + 9837351721458/30268877539*c_0110_2^6 - 34328554368276/30268877539*c_0110_2^5 - 4760538499003/30268877539*c_0110_2^4 + 16158799935603/30268877539*c_0110_2^3 - 292638561638/30268877539*c_0110_2^2 - 2859133184712/30268877539*c_0110_2 + 123096482574/30268877539, c_0011_0 - 1, c_0011_4 + 85508250355/30268877539*c_0110_2^16 - 152714276059/30268877539*c_0110_2^15 - 790732044053/30268877539*c_0110_2^14 + 760708632784/30268877539*c_0110_2^13 + 112482115615/30268877539*c_0110_2^12 - 358091513069/30268877539*c_0110_2^11 + 2655327056212/30268877539*c_0110_2^10 - 2558938892788/30268877539*c_0110_2^9 - 1472859963835/30268877539*c_0110_2^8 + 6974082099446/30268877539*c_0110_2^7 + 2497803312279/30268877539*c_0110_2^6 - 4080305855925/30268877539*c_0110_2^5 - 1199538889706/30268877539*c_0110_2^4 + 2131518456977/30268877539*c_0110_2^3 + 243387833057/30268877539*c_0110_2^2 - 386136076465/30268877539*c_0110_2 - 21981286008/30268877539, c_0101_0 + 7544517848/30268877539*c_0110_2^16 - 33831349598/30268877539*c_0110_2^15 - 23758399484/30268877539*c_0110_2^14 + 225765104044/30268877539*c_0110_2^13 - 226467368249/30268877539*c_0110_2^12 + 106204577825/30268877539*c_0110_2^11 + 154208727575/30268877539*c_0110_2^10 - 723390762163/30268877539*c_0110_2^9 + 625722760947/30268877539*c_0110_2^8 + 478414759053/30268877539*c_0110_2^7 - 1084917810356/30268877539*c_0110_2^6 - 502017849859/30268877539*c_0110_2^5 + 559930742029/30268877539*c_0110_2^4 + 151099815644/30268877539*c_0110_2^3 - 302007016295/30268877539*c_0110_2^2 - 10284447422/30268877539*c_0110_2 + 32703410331/30268877539, c_0101_1 + 2739929574/30268877539*c_0110_2^16 - 19440955577/30268877539*c_0110_2^15 + 4149711196/30268877539*c_0110_2^14 + 147863160979/30268877539*c_0110_2^13 - 146744097454/30268877539*c_0110_2^12 + 35434878778/30268877539*c_0110_2^11 + 91374378491/30268877539*c_0110_2^10 - 501178182290/30268877539*c_0110_2^9 + 465566311708/30268877539*c_0110_2^8 + 259183827547/30268877539*c_0110_2^7 - 971855036807/30268877539*c_0110_2^6 - 350559059495/30268877539*c_0110_2^5 + 488273391390/30268877539*c_0110_2^4 + 109563365661/30268877539*c_0110_2^3 - 294816118748/30268877539*c_0110_2^2 - 6867031816/30268877539*c_0110_2 + 22592554223/30268877539, c_0101_2 + 10110856108/30268877539*c_0110_2^16 - 25026300490/30268877539*c_0110_2^15 - 76607310951/30268877539*c_0110_2^14 + 139127527868/30268877539*c_0110_2^13 - 67791086957/30268877539*c_0110_2^12 + 29168990255/30268877539*c_0110_2^11 + 232555984193/30268877539*c_0110_2^10 - 406603456756/30268877539*c_0110_2^9 + 50328026037/30268877539*c_0110_2^8 + 729598888265/30268877539*c_0110_2^7 - 27124665454/30268877539*c_0110_2^6 - 584586297903/30268877539*c_0110_2^5 + 30128517068/30268877539*c_0110_2^4 + 292333469249/30268877539*c_0110_2^3 - 21314737767/30268877539*c_0110_2^2 - 93917663533/30268877539*c_0110_2 + 3417415606/30268877539, c_0110_2^17 - 2*c_0110_2^16 - 9*c_0110_2^15 + 11*c_0110_2^14 + c_0110_2^13 - 5*c_0110_2^12 + 30*c_0110_2^11 - 34*c_0110_2^10 - 17*c_0110_2^9 + 88*c_0110_2^8 + 19*c_0110_2^7 - 69*c_0110_2^6 - 12*c_0110_2^5 + 36*c_0110_2^4 + 2*c_0110_2^3 - 10*c_0110_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB