Magma V2.19-8 Tue Aug 20 2013 16:17:53 on localhost [Seed = 610646247] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2120 geometric_solution 5.61479551 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 -1 0 1 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 1 -1 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 1.826506235565 1.639707773663 0 2 3 0 3201 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 0 1 -1 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 0.331218504558 0.520444027095 3 1 4 5 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.206556007975 1.013835533862 4 5 2 1 2310 2310 3201 0132 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 1 0 -1 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 -0.206556007975 1.013835533862 6 6 3 2 0132 3201 3201 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.526906158458 1.576620431988 5 5 2 3 1302 2031 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 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372427375772 0.420790315420 4 6 4 6 0132 1302 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302349533027 0.934211210673 ==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' : 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' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0101_1'], '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_1, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 5329261638929/58993293819*c_0011_5*c_0110_5^10 + 15888799925494/58993293819*c_0011_5*c_0110_5^9 - 1863878497045/1034970067*c_0011_5*c_0110_5^8 - 22709614926585/39328862546*c_0011_5*c_0110_5^7 - 116700359940743/117986587638*c_0011_5*c_0110_5^6 - 1154809881591319/39328862546*c_0011_5*c_0110_5^5 - 1123598324698619/58993293819*c_0011_5*c_0110_5^4 + 6994779354756/678083837*c_0011_5*c_0110_5^3 - 111930711164740/19664431273*c_0011_5*c_0110_5^2 + 394844049982845/39328862546*c_0011_5*c_0110_5 - 148023133438886/58993293819*c_0011_5, c_0011_0 - 1, c_0011_1 - 2188353/1356167674*c_0110_5^10 + 9471397/1356167674*c_0110_5^9 - 1463251/35688623*c_0110_5^8 + 28888010/678083837*c_0110_5^7 - 42641940/678083837*c_0110_5^6 - 613548105/1356167674*c_0110_5^5 + 418873653/1356167674*c_0110_5^4 - 114989008/678083837*c_0110_5^3 + 345967517/1356167674*c_0110_5^2 + 553289703/1356167674*c_0110_5 - 418240251/678083837, c_0011_3 + 2654079175/25767185806*c_0011_5*c_0110_5^10 - 3281285048/12883592903*c_0011_5*c_0110_5^9 + 1304792100/678083837*c_0011_5*c_0110_5^8 + 41823249707/25767185806*c_0011_5*c_0110_5^7 + 52092525087/25767185806*c_0011_5*c_0110_5^6 + 880001580433/25767185806*c_0011_5*c_0110_5^5 + 510752553381/12883592903*c_0011_5*c_0110_5^4 + 193752629133/25767185806*c_0011_5*c_0110_5^3 + 104633791791/12883592903*c_0011_5*c_0110_5^2 - 60054268749/12883592903*c_0011_5*c_0110_5 - 21314052653/25767185806*c_0011_5, c_0011_4 - 635334574/12883592903*c_0011_5*c_0110_5^10 + 2011093544/12883592903*c_0011_5*c_0110_5^9 - 669910057/678083837*c_0011_5*c_0110_5^8 - 2708893360/12883592903*c_0011_5*c_0110_5^7 + 674806903/25767185806*c_0011_5*c_0110_5^6 - 416002185215/25767185806*c_0011_5*c_0110_5^5 - 162411390655/25767185806*c_0011_5*c_0110_5^4 + 173944336789/12883592903*c_0011_5*c_0110_5^3 - 5456021257/12883592903*c_0011_5*c_0110_5^2 + 128053014222/12883592903*c_0011_5*c_0110_5 - 71448470167/25767185806*c_0011_5, c_0011_5^2 + 621815059/12883592903*c_0110_5^10 - 1732681837/12883592903*c_0110_5^9 + 1284489363/1356167674*c_0110_5^8 + 5721245424/12883592903*c_0110_5^7 + 23333980363/25767185806*c_0110_5^6 + 400707818919/25767185806*c_0110_5^5 + 355543328699/25767185806*c_0110_5^4 + 1951881819/25767185806*c_0110_5^3 + 28391765067/12883592903*c_0110_5^2 - 53098755354/12883592903*c_0110_5 + 407788961/12883592903, c_0101_1 + 735934157/25767185806*c_0110_5^10 - 1335551305/25767185806*c_0110_5^9 + 313952671/678083837*c_0110_5^8 + 11521986119/12883592903*c_0110_5^7 + 3495106992/12883592903*c_0110_5^6 + 265214864697/25767185806*c_0110_5^5 + 411254916935/25767185806*c_0110_5^4 + 40786097977/12883592903*c_0110_5^3 + 61869037333/25767185806*c_0110_5^2 - 53194852999/25767185806*c_0110_5 - 7193706309/12883592903, c_0110_5^11 - 3*c_0110_5^10 + 20*c_0110_5^9 + 6*c_0110_5^8 + 11*c_0110_5^7 + 325*c_0110_5^6 + 205*c_0110_5^5 - 115*c_0110_5^4 + 69*c_0110_5^3 - 111*c_0110_5^2 + 31*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB