Magma V2.19-8 Tue Aug 20 2013 16:17:01 on localhost [Seed = 475889869] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1274 geometric_solution 5.16977954 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 -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 1.207848070291 0.276379670967 0 5 5 2 0132 0132 1302 3012 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 1 0 -1 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 0.272187290699 0.687312801756 4 0 1 3 0213 0132 1230 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 -1 1 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 1.109381668474 1.824673804727 6 6 2 0 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.132615224083 0.589264885413 2 5 0 5 0213 3201 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.726280093237 0.685865469733 1 1 4 4 2031 0132 2310 0213 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 -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 0.501930728214 1.257697910070 3 6 3 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 -0.859675187168 0.210254429930 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_2_2' : 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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_0011_4'], 'c_1100_4' : d['c_0110_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_4']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : negation(d['c_0110_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(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_3, c_0011_4, c_0101_0, c_0101_3, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 3136/11*c_0110_2^14 - 14600/11*c_0110_2^13 + 26848/11*c_0110_2^12 - 1540*c_0110_2^11 - 20030/11*c_0110_2^10 + 49012/11*c_0110_2^9 - 35326/11*c_0110_2^8 - 5473/11*c_0110_2^7 + 29697/11*c_0110_2^6 - 19055/11*c_0110_2^5 + 667/11*c_0110_2^4 + 8788/11*c_0110_2^3 - 3193/11*c_0110_2^2 + 475/11*c_0110_2 + 1251/11, c_0011_0 - 1, c_0011_3 - 64*c_0110_2^14 + 292*c_0110_2^13 - 508*c_0110_2^12 + 234*c_0110_2^11 + 563*c_0110_2^10 - 1061*c_0110_2^9 + 577*c_0110_2^8 + 377*c_0110_2^7 - 779*c_0110_2^6 + 367*c_0110_2^5 + 105*c_0110_2^4 - 256*c_0110_2^3 + 71*c_0110_2^2 + 9*c_0110_2 - 34, c_0011_4 - 56*c_0110_2^14 + 252*c_0110_2^13 - 440*c_0110_2^12 + 232*c_0110_2^11 + 405*c_0110_2^10 - 843*c_0110_2^9 + 539*c_0110_2^8 + 177*c_0110_2^7 - 558*c_0110_2^6 + 328*c_0110_2^5 + 7*c_0110_2^4 - 174*c_0110_2^3 + 59*c_0110_2^2 - 9*c_0110_2 - 26, c_0101_0 - 172*c_0110_2^14 + 792*c_0110_2^13 - 1418*c_0110_2^12 + 781*c_0110_2^11 + 1306*c_0110_2^10 - 2786*c_0110_2^9 + 1773*c_0110_2^8 + 644*c_0110_2^7 - 1885*c_0110_2^6 + 1061*c_0110_2^5 + 87*c_0110_2^4 - 578*c_0110_2^3 + 190*c_0110_2^2 - 10*c_0110_2 - 79, c_0101_3 + 8*c_0110_2^14 - 36*c_0110_2^13 + 60*c_0110_2^12 - 20*c_0110_2^11 - 81*c_0110_2^10 + 132*c_0110_2^9 - 54*c_0110_2^8 - 70*c_0110_2^7 + 105*c_0110_2^6 - 34*c_0110_2^5 - 30*c_0110_2^4 + 39*c_0110_2^3 - 6*c_0110_2^2 - 6*c_0110_2 + 5, c_0101_5 + 160*c_0110_2^14 - 724*c_0110_2^13 + 1264*c_0110_2^12 - 646*c_0110_2^11 - 1213*c_0110_2^10 + 2444*c_0110_2^9 - 1486*c_0110_2^8 - 600*c_0110_2^7 + 1619*c_0110_2^6 - 886*c_0110_2^5 - 69*c_0110_2^4 + 493*c_0110_2^3 - 155*c_0110_2^2 + 16*c_0110_2 + 69, c_0110_2^15 - 4*c_0110_2^14 + 11/2*c_0110_2^13 + 1/4*c_0110_2^12 - 10*c_0110_2^11 + 23/2*c_0110_2^10 - c_0110_2^9 - 37/4*c_0110_2^8 + 17/2*c_0110_2^7 - 15/4*c_0110_2^5 + 3*c_0110_2^4 + 3/4*c_0110_2^3 - 1/2*c_0110_2^2 + 1/2*c_0110_2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB