Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 964208095] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1862 geometric_solution 5.49734245 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301658977242 1.208836727550 0 3 4 3 0132 0132 0132 1023 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 -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 1.042653639354 1.254822550591 5 6 5 0 0132 0132 2031 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 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 0.261094225958 0.911693076208 5 1 6 1 1302 0132 1302 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 0.697213750782 0.297142426164 4 6 4 1 2031 0213 1302 0132 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 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301658977242 1.208836727550 2 3 6 2 0132 2031 2031 1302 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 -0.303746828092 0.015016751804 3 2 4 5 2031 0132 0213 1302 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 0 0 0 0 0 0 0.636728214740 1.325993027758 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : 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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_0'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_2'], '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_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 10178/197*c_0110_3^9 - 30344/197*c_0110_3^8 + 262193/197*c_0110_3^7 + 232155/197*c_0110_3^6 - 604798/197*c_0110_3^5 - 435318/197*c_0110_3^4 + 357102/197*c_0110_3^3 + 280378/197*c_0110_3^2 - 13197/197*c_0110_3 - 24797/197, c_0011_0 - 1, c_0011_2 - 6855/4531*c_0110_3^9 - 16480/4531*c_0110_3^8 + 187046/4531*c_0110_3^7 + 50277/4531*c_0110_3^6 - 463319/4531*c_0110_3^5 - 24098/4531*c_0110_3^4 + 326638/4531*c_0110_3^3 + 2488/4531*c_0110_3^2 - 55314/4531*c_0110_3 + 5364/4531, c_0011_4 + 719/4531*c_0110_3^9 + 1636/4531*c_0110_3^8 - 18575/4531*c_0110_3^7 + 489/4531*c_0110_3^6 + 16234/4531*c_0110_3^5 - 15492/4531*c_0110_3^4 + 23048/4531*c_0110_3^3 + 9774/4531*c_0110_3^2 - 14795/4531*c_0110_3 + 4478/4531, c_0101_0 + 719/4531*c_0110_3^9 + 1636/4531*c_0110_3^8 - 18575/4531*c_0110_3^7 + 489/4531*c_0110_3^6 + 16234/4531*c_0110_3^5 - 15492/4531*c_0110_3^4 + 23048/4531*c_0110_3^3 + 9774/4531*c_0110_3^2 - 14795/4531*c_0110_3 - 53/4531, c_0101_1 + 1658/4531*c_0110_3^9 + 691/4531*c_0110_3^8 - 53679/4531*c_0110_3^7 + 75281/4531*c_0110_3^6 + 146570/4531*c_0110_3^5 - 182632/4531*c_0110_3^4 - 96860/4531*c_0110_3^3 + 99030/4531*c_0110_3^2 + 11130/4531*c_0110_3 - 8428/4531, c_0101_2 - 1935/4531*c_0110_3^9 - 4176/4531*c_0110_3^8 + 55069/4531*c_0110_3^7 + 5011/4531*c_0110_3^6 - 160607/4531*c_0110_3^5 - 6951/4531*c_0110_3^4 + 120082/4531*c_0110_3^3 + 6314/4531*c_0110_3^2 - 13383/4531*c_0110_3 + 4201/4531, c_0110_3^10 + 3*c_0110_3^9 - 26*c_0110_3^8 - 24*c_0110_3^7 + 67*c_0110_3^6 + 46*c_0110_3^5 - 53*c_0110_3^4 - 30*c_0110_3^3 + 12*c_0110_3^2 + 4*c_0110_3 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1691093/1436088*c_0110_3^11 - 1067329/718044*c_0110_3^10 - 1283873/179511*c_0110_3^9 - 697379/1436088*c_0110_3^8 - 3892925/119674*c_0110_3^7 + 15359/119674*c_0110_3^6 - 66588427/1436088*c_0110_3^5 - 6501809/359022*c_0110_3^4 - 58149931/1436088*c_0110_3^3 - 93417/4516*c_0110_3^2 - 7741643/1436088*c_0110_3 + 422227/478696, c_0011_0 - 1, c_0011_2 - 42519/119674*c_0110_3^11 - 42013/119674*c_0110_3^10 - 263169/119674*c_0110_3^9 + 18251/59837*c_0110_3^8 - 634170/59837*c_0110_3^7 + 196326/59837*c_0110_3^6 - 2147573/119674*c_0110_3^5 + 56885/119674*c_0110_3^4 - 952689/59837*c_0110_3^3 - 2310/1129*c_0110_3^2 - 418075/119674*c_0110_3 - 956/59837, c_0011_4 - 1, c_0101_0 - 323/239348*c_0110_3^11 - 4347/119674*c_0110_3^10 - 5869/59837*c_0110_3^9 - 52329/239348*c_0110_3^8 - 21268/59837*c_0110_3^7 - 51285/59837*c_0110_3^6 - 445417/239348*c_0110_3^5 - 13807/59837*c_0110_3^4 - 946497/239348*c_0110_3^3 - 1545/2258*c_0110_3^2 - 645161/239348*c_0110_3 - 7393/239348, c_0101_1 - 153987/239348*c_0110_3^11 - 36657/59837*c_0110_3^10 - 443137/119674*c_0110_3^9 + 218673/239348*c_0110_3^8 - 1079835/59837*c_0110_3^7 + 333655/59837*c_0110_3^6 - 6508793/239348*c_0110_3^5 - 148945/119674*c_0110_3^4 - 5534711/239348*c_0110_3^3 - 9641/2258*c_0110_3^2 - 433473/239348*c_0110_3 + 11217/239348, c_0101_2 - 7359/239348*c_0110_3^11 - 9412/59837*c_0110_3^10 - 32343/119674*c_0110_3^9 - 146283/239348*c_0110_3^8 - 25681/59837*c_0110_3^7 - 182149/59837*c_0110_3^6 + 143903/239348*c_0110_3^5 - 543365/119674*c_0110_3^4 - 55963/239348*c_0110_3^3 - 6727/2258*c_0110_3^2 - 11217/239348*c_0110_3 + 85361/239348, c_0110_3^12 + c_0110_3^11 + 6*c_0110_3^10 - c_0110_3^9 + 29*c_0110_3^8 - 8*c_0110_3^7 + 47*c_0110_3^6 + c_0110_3^5 + 43*c_0110_3^4 + 7*c_0110_3^3 + 9*c_0110_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB