Magma V2.19-8 Tue Aug 20 2013 16:17:08 on localhost [Seed = 728414206] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1383 geometric_solution 5.23807202 oriented_manifold CS_known 0.0000000000000008 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 0.544275677352 0.083625551240 2 0 2 0 0132 2310 1023 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660792979673 0.192157713087 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 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 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 0.505765787798 1.410902218464 5 2 4 6 0132 0132 3012 0132 0 0 0 0 0 0 0 0 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 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 0.871054626423 1.613153468877 6 3 2 5 1023 1230 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871054626423 1.613153468877 3 4 5 5 0132 2310 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291206841231 0.416106338789 6 4 3 6 3201 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484817280148 0.579474032909 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_3' : negation(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' : 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' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_5'], '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' : 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_0011_4']), '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_0011_4']), '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_5']), '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_0011_4']), '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 + 329051064823/35541306165*c_0101_5^10 - 4143536469323/71082612330*c_0101_5^9 - 2868255729033/23694204110*c_0101_5^8 - 3776372200726/35541306165*c_0101_5^7 - 21239510934584/35541306165*c_0101_5^6 + 2280135737027/4738840822*c_0101_5^5 - 10520517149989/14216522466*c_0101_5^4 + 51590423304649/71082612330*c_0101_5^3 - 13855322498926/35541306165*c_0101_5^2 + 9259551411484/35541306165*c_0101_5 - 1422638770873/71082612330, c_0011_0 - 1, c_0011_1 + 569205677/2369420411*c_0101_5^10 - 3516948643/2369420411*c_0101_5^9 - 7948213357/2369420411*c_0101_5^8 - 6790157287/2369420411*c_0101_5^7 - 36875265409/2369420411*c_0101_5^6 + 24740185487/2369420411*c_0101_5^5 - 37677781242/2369420411*c_0101_5^4 + 29824523326/2369420411*c_0101_5^3 - 10529911159/2369420411*c_0101_5^2 + 7078949744/2369420411*c_0101_5 + 4882852476/2369420411, c_0011_4 - 139782356/2369420411*c_0101_5^10 + 814725731/2369420411*c_0101_5^9 + 2344647127/2369420411*c_0101_5^8 + 1849976488/2369420411*c_0101_5^7 + 7963153416/2369420411*c_0101_5^6 - 4417522427/2369420411*c_0101_5^5 + 1635752231/2369420411*c_0101_5^4 - 3565224085/2369420411*c_0101_5^3 - 192983787/2369420411*c_0101_5^2 + 149475858/2369420411*c_0101_5 - 1169124781/2369420411, c_0101_0 + 279744273/2369420411*c_0101_5^10 - 1705542936/2369420411*c_0101_5^9 - 4047564361/2369420411*c_0101_5^8 - 3644936025/2369420411*c_0101_5^7 - 18436404861/2369420411*c_0101_5^6 + 10240163053/2369420411*c_0101_5^5 - 18855865643/2369420411*c_0101_5^4 + 11440150882/2369420411*c_0101_5^3 - 5253916812/2369420411*c_0101_5^2 + 2467145335/2369420411*c_0101_5 + 4116797545/2369420411, c_0101_1 - 538034828/2369420411*c_0101_5^10 + 3050358837/2369420411*c_0101_5^9 + 9110102084/2369420411*c_0101_5^8 + 11011888806/2369420411*c_0101_5^7 + 38486771502/2369420411*c_0101_5^6 - 7754069789/2369420411*c_0101_5^5 + 26972485448/2369420411*c_0101_5^4 - 24869793018/2369420411*c_0101_5^3 + 2963071103/2369420411*c_0101_5^2 - 7028525432/2369420411*c_0101_5 - 4334533968/2369420411, c_0101_3 - 139782356/2369420411*c_0101_5^10 + 814725731/2369420411*c_0101_5^9 + 2344647127/2369420411*c_0101_5^8 + 1849976488/2369420411*c_0101_5^7 + 7963153416/2369420411*c_0101_5^6 - 4417522427/2369420411*c_0101_5^5 + 1635752231/2369420411*c_0101_5^4 - 3565224085/2369420411*c_0101_5^3 - 192983787/2369420411*c_0101_5^2 + 149475858/2369420411*c_0101_5 + 1200295630/2369420411, c_0101_5^11 - 6*c_0101_5^10 - 15*c_0101_5^9 - 15*c_0101_5^8 - 67*c_0101_5^7 + 34*c_0101_5^6 - 60*c_0101_5^5 + 54*c_0101_5^4 - 14*c_0101_5^3 + 14*c_0101_5^2 + 8*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 - 329051064823/35541306165*c_0101_5^10 + 4143536469323/71082612330*c_0101_5^9 + 2868255729033/23694204110*c_0101_5^8 + 3776372200726/35541306165*c_0101_5^7 + 21239510934584/35541306165*c_0101_5^6 - 2280135737027/4738840822*c_0101_5^5 + 10520517149989/14216522466*c_0101_5^4 - 51590423304649/71082612330*c_0101_5^3 + 13855322498926/35541306165*c_0101_5^2 - 9259551411484/35541306165*c_0101_5 + 1422638770873/71082612330, c_0011_0 - 1, c_0011_1 + 569205677/2369420411*c_0101_5^10 - 3516948643/2369420411*c_0101_5^9 - 7948213357/2369420411*c_0101_5^8 - 6790157287/2369420411*c_0101_5^7 - 36875265409/2369420411*c_0101_5^6 + 24740185487/2369420411*c_0101_5^5 - 37677781242/2369420411*c_0101_5^4 + 29824523326/2369420411*c_0101_5^3 - 10529911159/2369420411*c_0101_5^2 + 7078949744/2369420411*c_0101_5 + 4882852476/2369420411, c_0011_4 + 139782356/2369420411*c_0101_5^10 - 814725731/2369420411*c_0101_5^9 - 2344647127/2369420411*c_0101_5^8 - 1849976488/2369420411*c_0101_5^7 - 7963153416/2369420411*c_0101_5^6 + 4417522427/2369420411*c_0101_5^5 - 1635752231/2369420411*c_0101_5^4 + 3565224085/2369420411*c_0101_5^3 + 192983787/2369420411*c_0101_5^2 - 149475858/2369420411*c_0101_5 + 1169124781/2369420411, c_0101_0 - 279744273/2369420411*c_0101_5^10 + 1705542936/2369420411*c_0101_5^9 + 4047564361/2369420411*c_0101_5^8 + 3644936025/2369420411*c_0101_5^7 + 18436404861/2369420411*c_0101_5^6 - 10240163053/2369420411*c_0101_5^5 + 18855865643/2369420411*c_0101_5^4 - 11440150882/2369420411*c_0101_5^3 + 5253916812/2369420411*c_0101_5^2 - 2467145335/2369420411*c_0101_5 - 4116797545/2369420411, c_0101_1 - 538034828/2369420411*c_0101_5^10 + 3050358837/2369420411*c_0101_5^9 + 9110102084/2369420411*c_0101_5^8 + 11011888806/2369420411*c_0101_5^7 + 38486771502/2369420411*c_0101_5^6 - 7754069789/2369420411*c_0101_5^5 + 26972485448/2369420411*c_0101_5^4 - 24869793018/2369420411*c_0101_5^3 + 2963071103/2369420411*c_0101_5^2 - 7028525432/2369420411*c_0101_5 - 4334533968/2369420411, c_0101_3 + 139782356/2369420411*c_0101_5^10 - 814725731/2369420411*c_0101_5^9 - 2344647127/2369420411*c_0101_5^8 - 1849976488/2369420411*c_0101_5^7 - 7963153416/2369420411*c_0101_5^6 + 4417522427/2369420411*c_0101_5^5 - 1635752231/2369420411*c_0101_5^4 + 3565224085/2369420411*c_0101_5^3 + 192983787/2369420411*c_0101_5^2 - 149475858/2369420411*c_0101_5 - 1200295630/2369420411, c_0101_5^11 - 6*c_0101_5^10 - 15*c_0101_5^9 - 15*c_0101_5^8 - 67*c_0101_5^7 + 34*c_0101_5^6 - 60*c_0101_5^5 + 54*c_0101_5^4 - 14*c_0101_5^3 + 14*c_0101_5^2 + 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB