Magma V2.19-8 Tue Aug 20 2013 16:14:46 on localhost [Seed = 155751791] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s761 geometric_solution 5.30203045 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 1 0 -1 0 1 -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 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 1.268032086081 0.771181399559 2 3 4 0 1302 0132 0132 0132 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 0 1 -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 0.647473996095 0.682160915788 5 1 0 4 0132 2031 0132 3201 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 0.647473996095 0.682160915788 5 1 4 5 1302 0132 3201 3012 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954305829741 1.195277490764 3 2 5 1 2310 2310 0132 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 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 0.657674142558 0.315993540739 2 3 3 4 0132 2031 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.954305829741 1.195277490764 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : 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_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : 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_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), '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' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2009/3214*c_0101_5^8 - 9566/1607*c_0101_5^7 - 29419/1607*c_0101_5^6 - 100737/3214*c_0101_5^5 - 51235/1607*c_0101_5^4 - 36468/1607*c_0101_5^3 - 40695/3214*c_0101_5^2 - 13419/3214*c_0101_5 + 531/1607, c_0011_0 - 1, c_0011_1 - 1073/3214*c_0101_5^8 - 4850/1607*c_0101_5^7 - 26393/3214*c_0101_5^6 - 19211/1607*c_0101_5^5 - 31227/3214*c_0101_5^4 - 8498/1607*c_0101_5^3 - 12573/3214*c_0101_5^2 - 4289/3214*c_0101_5 + 2259/3214, c_0011_2 + 1073/3214*c_0101_5^8 + 4850/1607*c_0101_5^7 + 26393/3214*c_0101_5^6 + 19211/1607*c_0101_5^5 + 31227/3214*c_0101_5^4 + 8498/1607*c_0101_5^3 + 12573/3214*c_0101_5^2 + 4289/3214*c_0101_5 - 2259/3214, c_0011_4 - 1011/3214*c_0101_5^8 - 4414/1607*c_0101_5^7 - 22915/3214*c_0101_5^6 - 17427/1607*c_0101_5^5 - 28551/3214*c_0101_5^4 - 10237/1607*c_0101_5^3 - 12173/3214*c_0101_5^2 - 6081/3214*c_0101_5 + 2431/3214, c_0101_0 - 901/3214*c_0101_5^8 - 4107/1607*c_0101_5^7 - 22965/3214*c_0101_5^6 - 17424/1607*c_0101_5^5 - 27743/3214*c_0101_5^4 - 6998/1607*c_0101_5^3 - 5139/3214*c_0101_5^2 - 2625/3214*c_0101_5 + 4395/3214, c_0101_5^9 + 9*c_0101_5^8 + 25*c_0101_5^7 + 41*c_0101_5^6 + 41*c_0101_5^5 + 33*c_0101_5^4 + 23*c_0101_5^3 + 12*c_0101_5^2 + 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB