Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 526287398] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2367 geometric_solution 5.73469177 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -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 0.355092003665 0.860705348885 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.940637273389 1.113024065531 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 -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 -1 1 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 0.940637273389 1.113024065531 1 5 5 2 0132 0132 1023 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 0.754146065214 0.359709125731 2 6 6 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 -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 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137391282022 0.369075160731 5 3 3 5 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096762705175 0.431703318616 4 4 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.932412827871 2.626719072544 ==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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 7325/56*c_0101_6^7 - 1695/7*c_0101_6^6 - 425/2*c_0101_6^5 - 4409/28*c_0101_6^4 + 2683/14*c_0101_6^3 - 18*c_0101_6^2 + 1429/8*c_0101_6 - 599/7, c_0011_0 - 1, c_0011_1 + 15/28*c_0101_6^7 + 75/28*c_0101_6^6 + 4*c_0101_6^5 + 37/14*c_0101_6^4 + 4/7*c_0101_6^3 - 2*c_0101_6^2 - 3/4*c_0101_6 - 15/28, c_0011_4 - 85/28*c_0101_6^7 - 45/7*c_0101_6^6 - 6*c_0101_6^5 - 65/14*c_0101_6^4 + 17/7*c_0101_6^3 + 13/4*c_0101_6 + 2/7, c_0101_0 + 85/28*c_0101_6^7 + 45/7*c_0101_6^6 + 6*c_0101_6^5 + 65/14*c_0101_6^4 - 17/7*c_0101_6^3 - 13/4*c_0101_6 - 2/7, c_0101_1 + 95/28*c_0101_6^7 + 265/28*c_0101_6^6 + 12*c_0101_6^5 + 127/14*c_0101_6^4 - 45/14*c_0101_6^3 - 5*c_0101_6^2 - 19/4*c_0101_6 - 11/28, c_0101_5 - c_0101_6, c_0101_6^8 + 2*c_0101_6^7 + 9/5*c_0101_6^6 + 6/5*c_0101_6^5 - 8/5*c_0101_6^4 - 2/5*c_0101_6^3 - 7/5*c_0101_6^2 + 2/5*c_0101_6 + 1/5 ], 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_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 26148073/1658995*c_0101_6^9 + 81511453/1658995*c_0101_6^8 - 182704157/1658995*c_0101_6^7 + 382765873/1658995*c_0101_6^6 - 447879126/1658995*c_0101_6^5 + 8000062/331799*c_0101_6^4 - 150158576/1658995*c_0101_6^3 + 27450927/331799*c_0101_6^2 - 5831796/331799*c_0101_6 + 34135378/1658995, c_0011_0 - 1, c_0011_1 + 4281/25523*c_0101_6^9 + 10675/25523*c_0101_6^8 - 31993/25523*c_0101_6^7 + 107245/25523*c_0101_6^6 - 133050/25523*c_0101_6^5 + 112212/25523*c_0101_6^4 - 42393/25523*c_0101_6^3 - 39930/25523*c_0101_6^2 - 43373/25523*c_0101_6 - 9853/25523, c_0011_4 + 16814/25523*c_0101_6^9 + 58680/25523*c_0101_6^8 - 95637/25523*c_0101_6^7 + 210621/25523*c_0101_6^6 - 209314/25523*c_0101_6^5 - 50886/25523*c_0101_6^4 - 91060/25523*c_0101_6^3 + 23782/25523*c_0101_6^2 + 40373/25523*c_0101_6 - 1669/25523, c_0101_0 + 16745/25523*c_0101_6^9 + 49887/25523*c_0101_6^8 - 128371/25523*c_0101_6^7 + 252337/25523*c_0101_6^6 - 277246/25523*c_0101_6^5 - 17871/25523*c_0101_6^4 + 22250/25523*c_0101_6^3 + 64132/25523*c_0101_6^2 - 23585/25523*c_0101_6 - 3889/25523, c_0101_1 - 17203/25523*c_0101_6^9 - 39451/25523*c_0101_6^8 + 177790/25523*c_0101_6^7 - 305389/25523*c_0101_6^6 + 424461/25523*c_0101_6^5 - 83688/25523*c_0101_6^4 - 73554/25523*c_0101_6^3 - 144746/25523*c_0101_6^2 - 46585/25523*c_0101_6 + 1360/25523, c_0101_5 - 14577/25523*c_0101_6^9 - 52142/25523*c_0101_6^8 + 76779/25523*c_0101_6^7 - 187783/25523*c_0101_6^6 + 147910/25523*c_0101_6^5 + 60264/25523*c_0101_6^4 + 56209/25523*c_0101_6^3 - 3635/25523*c_0101_6^2 + 67523/25523*c_0101_6 + 8170/25523, c_0101_6^10 + 3*c_0101_6^9 - 8*c_0101_6^8 + 13*c_0101_6^7 - 16*c_0101_6^6 - 4*c_0101_6^5 + 9*c_0101_6^3 + 4*c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB