Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 593674177] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2072 geometric_solution 5.58982664 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 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 -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 0.968334529638 0.719510894156 0 4 0 5 0132 0132 1230 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732664518230 0.463200279761 6 0 5 6 0132 0132 1230 1023 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 0.943100690171 0.490715264144 5 5 4 0 0132 2103 3120 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 -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 0.321330948560 0.397887389827 4 1 3 4 3012 0132 3120 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 1 -1 1 0 0 -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 1.024871541304 0.616489216596 3 3 1 2 0132 2103 0132 3012 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 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 0.914690308428 1.315010471042 2 6 6 2 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.561357582301 0.386713344263 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], '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' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), '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_0101_6'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 198627335/89149032*c_0101_6^12 + 490100215/89149032*c_0101_6^11 - 611800267/44574516*c_0101_6^10 - 132362925/3301816*c_0101_6^9 + 1623478837/89149032*c_0101_6^8 + 8877358241/89149032*c_0101_6^7 + 277257745/7429086*c_0101_6^6 - 1510128707/22287258*c_0101_6^5 - 8462636251/89149032*c_0101_6^4 - 980741723/12735576*c_0101_6^3 + 831449881/44574516*c_0101_6^2 + 44291053/530649*c_0101_6 + 4252707329/89149032, c_0011_0 - 1, c_0011_3 + 655/33692*c_0101_6^12 + 3049/33692*c_0101_6^11 - 3267/33692*c_0101_6^10 - 21315/33692*c_0101_6^9 + 699/8423*c_0101_6^8 + 47473/33692*c_0101_6^7 + 3665/8423*c_0101_6^6 - 27135/33692*c_0101_6^5 - 19257/16846*c_0101_6^4 - 54333/33692*c_0101_6^3 + 6347/8423*c_0101_6^2 + 69393/33692*c_0101_6 + 5497/16846, c_0101_0 + 2113/16846*c_0101_6^12 + 2031/8423*c_0101_6^11 - 12571/16846*c_0101_6^10 - 13516/8423*c_0101_6^9 + 7429/8423*c_0101_6^8 + 58911/16846*c_0101_6^7 + 30125/16846*c_0101_6^6 - 12423/8423*c_0101_6^5 - 33484/8423*c_0101_6^4 - 48635/16846*c_0101_6^3 + 18593/16846*c_0101_6^2 + 14499/8423*c_0101_6 + 5105/8423, c_0101_1 + c_0101_6^3 - 2*c_0101_6, c_0101_2 + c_0101_6^2 - 1, c_0101_4 + 1253/16846*c_0101_6^12 + 1894/8423*c_0101_6^11 - 5581/16846*c_0101_6^10 - 12061/8423*c_0101_6^9 + 1607/8423*c_0101_6^8 + 53805/16846*c_0101_6^7 + 15249/16846*c_0101_6^6 - 16599/8423*c_0101_6^5 - 8200/8423*c_0101_6^4 - 33879/16846*c_0101_6^3 - 10883/16846*c_0101_6^2 + 16395/8423*c_0101_6 + 2517/8423, c_0101_6^13 + 2*c_0101_6^12 - 7*c_0101_6^11 - 15*c_0101_6^10 + 14*c_0101_6^9 + 40*c_0101_6^8 + 3*c_0101_6^7 - 34*c_0101_6^6 - 35*c_0101_6^5 - 22*c_0101_6^4 + 19*c_0101_6^3 + 36*c_0101_6^2 + 13*c_0101_6 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB