Magma V2.19-8 Tue Aug 20 2013 16:18:56 on localhost [Seed = 2311591136] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3101 geometric_solution 6.26345864 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 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 0.551887146419 0.894932636459 0 5 3 6 0132 0132 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 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 0.530199421214 0.786817219206 3 0 4 5 0213 0132 2031 2103 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 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 0.500773214982 0.809539315794 2 1 5 0 0213 3201 1302 0132 0 0 0 0 0 0 1 -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 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 1.493624730421 0.773022779928 4 4 0 2 1302 2031 0132 1302 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 0 0 0 0.499705039418 0.308817332345 3 1 6 2 2031 0132 2031 2103 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411015681101 0.874054149081 6 6 1 5 1230 3012 0132 1302 0 0 0 0 0 1 0 -1 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 -1 0 1 0 0 -1 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 0.428935694248 0.426360390445 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_3'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0110_4'])})} 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_4, c_0011_6, c_0101_0, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 12470242547/14915323988*c_0110_4^11 + 35089775799/29830647976*c_0110_4^10 - 750099438187/29830647976*c_0110_4^9 - 24819649873/29830647976*c_0110_4^8 - 435015012017/14915323988*c_0110_4^7 + 425761262269/3728830997*c_0110_4^6 + 814288472061/29830647976*c_0110_4^5 + 701967853131/7457661994*c_0110_4^4 - 199936027759/1570034104*c_0110_4^3 - 24074403719/1570034104*c_0110_4^2 - 814669848279/14915323988*c_0110_4 + 340140520097/7457661994, c_0011_0 - 1, c_0011_3 - 1660907035/3140068208*c_0110_4^11 + 148924648/196254263*c_0110_4^10 - 50308961057/3140068208*c_0110_4^9 + 49252553/3140068208*c_0110_4^8 - 66329505257/3140068208*c_0110_4^7 + 56213267379/785017052*c_0110_4^6 + 21969671095/1570034104*c_0110_4^5 + 215396975839/3140068208*c_0110_4^4 - 118148469583/1570034104*c_0110_4^3 - 2808176331/785017052*c_0110_4^2 - 7595854231/196254263*c_0110_4 + 5459092881/196254263, c_0011_4 + 326508633/3140068208*c_0110_4^11 - 25684661/196254263*c_0110_4^10 + 9835130011/3140068208*c_0110_4^9 + 1610849405/3140068208*c_0110_4^8 + 14084354899/3140068208*c_0110_4^7 - 11123589137/785017052*c_0110_4^6 - 6251045493/1570034104*c_0110_4^5 - 50865657989/3140068208*c_0110_4^4 + 25018690261/1570034104*c_0110_4^3 + 364905945/785017052*c_0110_4^2 + 1963173097/196254263*c_0110_4 - 1294866383/196254263, c_0011_6 - 568411257/3140068208*c_0110_4^11 + 519503697/1570034104*c_0110_4^10 - 17706528023/3140068208*c_0110_4^9 + 7160007897/3140068208*c_0110_4^8 - 27776902925/3140068208*c_0110_4^7 + 44593352615/1570034104*c_0110_4^6 - 7315597265/1570034104*c_0110_4^5 + 86421203121/3140068208*c_0110_4^4 - 27954932879/785017052*c_0110_4^3 + 3507659187/785017052*c_0110_4^2 - 3427073769/196254263*c_0110_4 + 2710046331/196254263, c_0101_0 + 2082113249/3140068208*c_0110_4^11 - 176864256/196254263*c_0110_4^10 + 62573670927/3140068208*c_0110_4^9 + 5077905813/3140068208*c_0110_4^8 + 75378088255/3140068208*c_0110_4^7 - 34591092873/392508526*c_0110_4^6 - 38126525259/1570034104*c_0110_4^5 - 250059142349/3140068208*c_0110_4^4 + 146766798465/1570034104*c_0110_4^3 + 3502368965/392508526*c_0110_4^2 + 17878541185/392508526*c_0110_4 - 6859998360/196254263, c_0110_4^12 - 2*c_0110_4^11 + 31*c_0110_4^10 - 17*c_0110_4^9 + 37*c_0110_4^8 - 158*c_0110_4^7 + 50*c_0110_4^6 - 105*c_0110_4^5 + 220*c_0110_4^4 - 76*c_0110_4^3 + 64*c_0110_4^2 - 96*c_0110_4 + 32, c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB