Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 1393741696] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1363 geometric_solution 5.22597071 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 0.609025473187 0.098296811550 2 0 2 0 0132 2310 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790694400311 0.159988664095 1 3 1 4 0132 0132 1023 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769546989222 0.614396429340 5 2 6 6 0132 0132 3201 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143803578871 1.611982917231 6 6 2 5 1023 2310 0132 3201 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 -1 0 1 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 0.143803578871 1.611982917231 3 4 5 5 0132 2310 1230 3012 0 0 0 0 0 1 0 -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 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 0.154384581346 0.968486148043 3 4 3 4 2310 1023 0132 3201 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 -1 0 0 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 -0.054904289147 0.615456005222 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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_0101_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1106291/16*c_0101_5^10 + 9265847/16*c_0101_5^9 + 14220365/16*c_0101_5^8 + 76525053/16*c_0101_5^7 + 132776521/16*c_0101_5^6 + 204581149/16*c_0101_5^5 + 105954029/8*c_0101_5^4 + 156057849/16*c_0101_5^3 + 20473101/4*c_0101_5^2 + 12280719/8*c_0101_5 + 2946207/16, c_0011_0 - 1, c_0011_1 + 895/8*c_0101_5^10 - 7393/8*c_0101_5^9 - 12413/8*c_0101_5^8 - 62843/8*c_0101_5^7 - 114149/8*c_0101_5^6 - 174983/8*c_0101_5^5 - 93211/4*c_0101_5^4 - 139553/8*c_0101_5^3 - 37549/4*c_0101_5^2 - 5931/2*c_0101_5 - 3045/8, c_0011_4 + 617/4*c_0101_5^10 - 5207/4*c_0101_5^9 - 7583/4*c_0101_5^8 - 42345/4*c_0101_5^7 - 71499/4*c_0101_5^6 - 110629/4*c_0101_5^5 - 56305/2*c_0101_5^4 - 82207/4*c_0101_5^3 - 21229/2*c_0101_5^2 - 3082*c_0101_5 - 1423/4, c_0101_0 - 73/8*c_0101_5^10 + 593/8*c_0101_5^9 + 1095/8*c_0101_5^8 + 5267/8*c_0101_5^7 + 9999/8*c_0101_5^6 + 15543/8*c_0101_5^5 + 8531/4*c_0101_5^4 + 13351/8*c_0101_5^3 + 933*c_0101_5^2 + 1305/4*c_0101_5 + 393/8, c_0101_1 + 269/8*c_0101_5^10 - 2137/8*c_0101_5^9 - 4479/8*c_0101_5^8 - 19663/8*c_0101_5^7 - 39875/8*c_0101_5^6 - 60447/8*c_0101_5^5 - 34253/4*c_0101_5^4 - 53023/8*c_0101_5^3 - 3747*c_0101_5^2 - 5175/4*c_0101_5 - 1461/8, c_0101_3 + 493/4*c_0101_5^10 - 2083/2*c_0101_5^9 - 6011/4*c_0101_5^8 - 8446*c_0101_5^7 - 56777/4*c_0101_5^6 - 43947/2*c_0101_5^5 - 44603/2*c_0101_5^4 - 65017/4*c_0101_5^3 - 33495/4*c_0101_5^2 - 9677/4*c_0101_5 - 555/2, c_0101_5^11 - 8*c_0101_5^10 - 16*c_0101_5^9 - 74*c_0101_5^8 - 146*c_0101_5^7 - 230*c_0101_5^6 - 261*c_0101_5^5 - 213*c_0101_5^4 - 127*c_0101_5^3 - 50*c_0101_5^2 - 11*c_0101_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1106291/16*c_0101_5^10 - 9265847/16*c_0101_5^9 + 14220365/16*c_0101_5^8 - 76525053/16*c_0101_5^7 + 132776521/16*c_0101_5^6 - 204581149/16*c_0101_5^5 + 105954029/8*c_0101_5^4 - 156057849/16*c_0101_5^3 + 20473101/4*c_0101_5^2 - 12280719/8*c_0101_5 + 2946207/16, c_0011_0 - 1, c_0011_1 + 895/8*c_0101_5^10 + 7393/8*c_0101_5^9 - 12413/8*c_0101_5^8 + 62843/8*c_0101_5^7 - 114149/8*c_0101_5^6 + 174983/8*c_0101_5^5 - 93211/4*c_0101_5^4 + 139553/8*c_0101_5^3 - 37549/4*c_0101_5^2 + 5931/2*c_0101_5 - 3045/8, c_0011_4 + 617/4*c_0101_5^10 + 5207/4*c_0101_5^9 - 7583/4*c_0101_5^8 + 42345/4*c_0101_5^7 - 71499/4*c_0101_5^6 + 110629/4*c_0101_5^5 - 56305/2*c_0101_5^4 + 82207/4*c_0101_5^3 - 21229/2*c_0101_5^2 + 3082*c_0101_5 - 1423/4, c_0101_0 + 73/8*c_0101_5^10 + 593/8*c_0101_5^9 - 1095/8*c_0101_5^8 + 5267/8*c_0101_5^7 - 9999/8*c_0101_5^6 + 15543/8*c_0101_5^5 - 8531/4*c_0101_5^4 + 13351/8*c_0101_5^3 - 933*c_0101_5^2 + 1305/4*c_0101_5 - 393/8, c_0101_1 + 269/8*c_0101_5^10 + 2137/8*c_0101_5^9 - 4479/8*c_0101_5^8 + 19663/8*c_0101_5^7 - 39875/8*c_0101_5^6 + 60447/8*c_0101_5^5 - 34253/4*c_0101_5^4 + 53023/8*c_0101_5^3 - 3747*c_0101_5^2 + 5175/4*c_0101_5 - 1461/8, c_0101_3 + 493/4*c_0101_5^10 + 2083/2*c_0101_5^9 - 6011/4*c_0101_5^8 + 8446*c_0101_5^7 - 56777/4*c_0101_5^6 + 43947/2*c_0101_5^5 - 44603/2*c_0101_5^4 + 65017/4*c_0101_5^3 - 33495/4*c_0101_5^2 + 9677/4*c_0101_5 - 555/2, c_0101_5^11 + 8*c_0101_5^10 - 16*c_0101_5^9 + 74*c_0101_5^8 - 146*c_0101_5^7 + 230*c_0101_5^6 - 261*c_0101_5^5 + 213*c_0101_5^4 - 127*c_0101_5^3 + 50*c_0101_5^2 - 11*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB