Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 3970789433] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1230 geometric_solution 5.12741424 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 2.787572522067 1.482376271712 0 1 1 0 0132 3201 2310 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 -0.546071006408 0.136166825382 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0.097713684526 0.524744228653 4 2 5 6 2310 0132 0132 0132 0 0 0 0 0 -1 0 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 1 -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 0.063509518565 1.052468469996 5 6 3 2 0132 2310 3201 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063509518565 1.052468469996 4 5 5 3 0132 1230 3012 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 1 0 -1 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 0.886318685921 1.001003126058 6 6 3 4 1302 2031 0132 3201 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 0 0 0 0.496670663163 0.446419348303 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 722130280/14165499*c_0110_6^10 + 969463958/14165499*c_0110_6^9 - 6042681935/14165499*c_0110_6^8 + 915157337/14165499*c_0110_6^7 + 1136233588/14165499*c_0110_6^6 - 1283469076/4721833*c_0110_6^5 - 873998151/4721833*c_0110_6^4 + 1887515126/14165499*c_0110_6^3 + 4656795292/14165499*c_0110_6^2 + 1590571184/14165499*c_0110_6 + 718797692/14165499, c_0011_0 - 1, c_0011_2 - 1643708/4721833*c_0110_6^10 + 2755714/4721833*c_0110_6^9 - 13903378/4721833*c_0110_6^8 + 5313508/4721833*c_0110_6^7 + 7850339/4721833*c_0110_6^6 - 16292969/4721833*c_0110_6^5 - 53285/4721833*c_0110_6^4 + 3586232/4721833*c_0110_6^3 + 7575899/4721833*c_0110_6^2 - 992886/4721833*c_0110_6 - 2306790/4721833, c_0011_4 - 413660/4721833*c_0011_6*c_0110_6^10 + 4623256/4721833*c_0011_6*c_0110_6^9 - 9314685/4721833*c_0011_6*c_0110_6^8 + 34870296/4721833*c_0011_6*c_0110_6^7 - 7875086/4721833*c_0011_6*c_0110_6^6 - 9389817/4721833*c_0011_6*c_0110_6^5 + 17581852/4721833*c_0011_6*c_0110_6^4 + 15454578/4721833*c_0011_6*c_0110_6^3 - 11585068/4721833*c_0011_6*c_0110_6^2 - 24685436/4721833*c_0011_6*c_0110_6 - 5114861/4721833*c_0011_6, c_0011_6^2 - 3992516/61383829*c_0110_6^10 + 8064452/61383829*c_0110_6^9 - 32034553/61383829*c_0110_6^8 + 1286116/4721833*c_0110_6^7 + 44248012/61383829*c_0110_6^6 - 62475952/61383829*c_0110_6^5 - 49118208/61383829*c_0110_6^4 + 36015244/61383829*c_0110_6^3 - 2170460/61383829*c_0110_6^2 - 6313076/61383829*c_0110_6 + 7918/61383829, c_0101_0 + 868300/4721833*c_0110_6^10 + 1369628/4721833*c_0110_6^9 + 2646875/4721833*c_0110_6^8 + 21913222/4721833*c_0110_6^7 - 14297304/4721833*c_0110_6^6 + 2237953/4721833*c_0110_6^5 + 24572632/4721833*c_0110_6^4 - 3716070/4721833*c_0110_6^3 - 16589044/4721833*c_0110_6^2 - 9346230/4721833*c_0110_6 + 1354409/4721833, c_0101_1 - 827320/4721833*c_0110_6^10 - 197154/4721833*c_0110_6^9 - 4463871/4721833*c_0110_6^8 - 10530569/4721833*c_0110_6^7 + 7858993/4721833*c_0110_6^6 + 107698/4721833*c_0110_6^5 - 16776459/4721833*c_0110_6^4 + 2578158/4721833*c_0110_6^3 + 9882695/4721833*c_0110_6^2 + 7291124/4721833*c_0110_6 - 786056/4721833, c_0110_6^11 - 3/2*c_0110_6^10 + 17/2*c_0110_6^9 - 5/2*c_0110_6^8 - 2*c_0110_6^7 + 11/2*c_0110_6^6 + 3*c_0110_6^5 - 7/2*c_0110_6^4 - 13/2*c_0110_6^3 - c_0110_6^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB