Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 3381155099] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1278 geometric_solution 5.17134219 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 1.003836408087 0.955278125983 0 5 5 4 0132 0132 1023 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337244488421 0.201754186553 2 0 2 4 2310 0132 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545654307820 0.896373940368 4 3 3 0 0213 1230 3012 0132 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.145907406738 0.672018731704 3 2 0 1 0213 1302 0132 0213 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 -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 0.477234926491 0.497477512997 6 1 1 6 0132 0132 1023 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 1.277736218136 0.833079479582 5 6 6 5 0132 1230 3012 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 1.716427642542 0.249894413748 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3902/3861*c_0101_6^15 + 5482/3861*c_0101_6^14 - 44654/3861*c_0101_6^13 - 19946/1287*c_0101_6^12 + 204863/3861*c_0101_6^11 + 258860/3861*c_0101_6^10 - 157286/1287*c_0101_6^9 - 181408/1287*c_0101_6^8 + 551170/3861*c_0101_6^7 + 174431/1287*c_0101_6^6 - 92149/1287*c_0101_6^5 - 3373/117*c_0101_6^4 + 10045/1287*c_0101_6^3 - 9745/429*c_0101_6^2 - 10858/3861*c_0101_6 - 12020/3861, c_0011_0 - 1, c_0011_3 - c_0101_6^3 + 2*c_0101_6, c_0011_4 - 2/13*c_0101_6^15 + 4/13*c_0101_6^14 + 25/13*c_0101_6^13 - 53/13*c_0101_6^12 - 126/13*c_0101_6^11 + 269/13*c_0101_6^10 + 322/13*c_0101_6^9 - 658/13*c_0101_6^8 - 425/13*c_0101_6^7 + 776/13*c_0101_6^6 + 249/13*c_0101_6^5 - 348/13*c_0101_6^4 - 27/13*c_0101_6^3 - 6/13*c_0101_6^2 - 10/13*c_0101_6 - 5/13, c_0101_0 - c_0101_6^4 + 3*c_0101_6^2 - 1, c_0101_2 - 1/13*c_0101_6^15 + 2/13*c_0101_6^14 + 6/13*c_0101_6^13 - 33/13*c_0101_6^12 + 2/13*c_0101_6^11 + 193/13*c_0101_6^10 - 86/13*c_0101_6^9 - 524/13*c_0101_6^8 + 223/13*c_0101_6^7 + 661/13*c_0101_6^6 - 220/13*c_0101_6^5 - 278/13*c_0101_6^4 + 84/13*c_0101_6^3 - 55/13*c_0101_6^2 - 18/13*c_0101_6 - 9/13, c_0101_5 - c_0101_6^2 + 1, c_0101_6^16 + c_0101_6^15 - 12*c_0101_6^14 - 11*c_0101_6^13 + 58*c_0101_6^12 + 48*c_0101_6^11 - 142*c_0101_6^10 - 102*c_0101_6^9 + 179*c_0101_6^8 + 100*c_0101_6^7 - 99*c_0101_6^6 - 24*c_0101_6^5 + 9*c_0101_6^4 - 15*c_0101_6^3 + c_0101_6^2 - 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB