Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 324177450] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2441 geometric_solution 5.78641414 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 0 0 0 0 0 0 1 -1 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 1 -1 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 0.920510510956 1.331913365229 0 4 0 5 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 1 -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 -0.030377453845 0.737803032294 6 5 6 0 0132 1023 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0.659447036168 0.634771363209 4 5 0 5 0213 0321 0132 3201 0 0 0 0 0 0 1 -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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348638909469 0.906238400806 3 1 4 4 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 1 -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 0.141847207632 1.428462018530 2 3 1 3 1023 2310 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.886105257423 1.298558796534 2 2 6 6 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442673393353 0.193097306603 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0110_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_3'], 'c_1001_4' : d['c_0110_3'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0110_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0110_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : d['c_1001_3']})} 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_3, c_0101_0, c_0101_2, c_0110_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 4363/164704*c_1001_3^8 + 504/5147*c_1001_3^7 + 59277/82352*c_1001_3^6 + 60085/41176*c_1001_3^5 + 73561/164704*c_1001_3^4 - 20695/10294*c_1001_3^3 - 97533/41176*c_1001_3^2 - 86705/41176*c_1001_3 - 20197/20588, c_0011_0 - 1, c_0011_2 + 141/20588*c_0101_2*c_1001_3^8 - 2287/41176*c_0101_2*c_1001_3^7 - 588/5147*c_0101_2*c_1001_3^6 + 31565/41176*c_0101_2*c_1001_3^5 + 33089/20588*c_0101_2*c_1001_3^4 + 3575/10294*c_0101_2*c_1001_3^3 - 20547/10294*c_0101_2*c_1001_3^2 - 16388/5147*c_0101_2*c_1001_3 - 8906/5147*c_0101_2, c_0011_3 + 943/20588*c_0101_2*c_1001_3^8 - 3395/20588*c_0101_2*c_1001_3^7 - 12793/10294*c_0101_2*c_1001_3^6 - 56213/20588*c_0101_2*c_1001_3^5 - 29409/20588*c_0101_2*c_1001_3^4 + 30115/10294*c_0101_2*c_1001_3^3 + 27387/5147*c_0101_2*c_1001_3^2 + 24366/5147*c_0101_2*c_1001_3 + 5523/5147*c_0101_2, c_0101_0 - 3383/41176*c_0101_2*c_1001_3^8 + 3925/10294*c_0101_2*c_1001_3^7 + 78881/41176*c_0101_2*c_1001_3^6 + 11622/5147*c_0101_2*c_1001_3^5 - 763/10294*c_0101_2*c_1001_3^4 - 42139/10294*c_0101_2*c_1001_3^3 - 50885/10294*c_0101_2*c_1001_3^2 - 18408/5147*c_0101_2*c_1001_3 - 5554/5147*c_0101_2, c_0101_2^2 + 1773/20588*c_1001_3^8 - 1911/5147*c_1001_3^7 - 43483/20588*c_1001_3^6 - 16763/5147*c_1001_3^5 - 8519/10294*c_1001_3^4 + 58095/10294*c_1001_3^3 + 36013/5147*c_1001_3^2 + 19193/5147*c_1001_3 - 6858/5147, c_0110_3 - 631/20588*c_1001_3^8 + 3931/20588*c_1001_3^7 + 9321/20588*c_1001_3^6 - 1291/20588*c_1001_3^5 - 4486/5147*c_1001_3^4 - 18481/10294*c_1001_3^3 - 183/5147*c_1001_3^2 + 4311/5147*c_1001_3 + 9704/5147, c_1001_3^9 - 4*c_1001_3^8 - 26*c_1001_3^7 - 44*c_1001_3^6 - 23*c_1001_3^5 + 52*c_1001_3^4 + 100*c_1001_3^3 + 84*c_1001_3^2 + 32*c_1001_3 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB