Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 3187417499] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s130 geometric_solution 4.14410813 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 -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 0.583899443201 0.547818847331 2 3 2 0 1023 0132 1230 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 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 0.350481189559 1.252596085223 3 1 0 1 2310 1023 0132 3012 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 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 0.350481189559 1.252596085223 4 1 2 4 0132 0132 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.010668382145 0.403374772301 3 3 5 5 0132 2310 2310 0132 0 0 0 0 0 1 -1 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 3.198229950737 1.717295486663 5 4 4 5 3201 3201 0132 2310 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 -0.509004727927 0.128012096324 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_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_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' : negation(d['1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], '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_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_5, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1637843559/9891196820*c_0101_4^11 - 2094848893/4945598410*c_0101_4^10 + 11187128921/19782393640*c_0101_4^9 - 15646162437/3956478728*c_0101_4^8 + 18213852827/19782393640*c_0101_4^7 - 90454782973/19782393640*c_0101_4^6 - 14995034659/3956478728*c_0101_4^5 + 226895299903/19782393640*c_0101_4^4 - 110978519999/9891196820*c_0101_4^3 - 2150295158/2472799205*c_0101_4^2 + 82929632823/19782393640*c_0101_4 - 23932069613/19782393640, c_0011_0 - 1, c_0011_1 + 377338145/3956478728*c_0101_4^11 + 141026258/494559841*c_0101_4^10 - 985509323/3956478728*c_0101_4^9 + 7983257005/3956478728*c_0101_4^8 + 1635396091/3956478728*c_0101_4^7 + 7148941221/3956478728*c_0101_4^6 + 1216625917/494559841*c_0101_4^5 - 25789841577/3956478728*c_0101_4^4 + 5820306213/3956478728*c_0101_4^3 + 2147490187/494559841*c_0101_4^2 - 2952249071/1978239364*c_0101_4 - 7080471441/3956478728, c_0011_5 + 242745873/3956478728*c_0101_4^11 + 359164019/1978239364*c_0101_4^10 - 729292389/3956478728*c_0101_4^9 + 4933604321/3956478728*c_0101_4^8 + 1056850625/3956478728*c_0101_4^7 + 3038330389/3956478728*c_0101_4^6 + 2876640603/1978239364*c_0101_4^5 - 19492488739/3956478728*c_0101_4^4 + 3623635937/3956478728*c_0101_4^3 + 6812256371/1978239364*c_0101_4^2 - 1501618037/989119682*c_0101_4 - 6421790951/3956478728, c_0101_2 + 15626102/494559841*c_0101_4^11 + 207579133/1978239364*c_0101_4^10 - 156418295/1978239364*c_0101_4^9 + 266233747/494559841*c_0101_4^8 + 742416629/1978239364*c_0101_4^7 + 102210669/989119682*c_0101_4^6 + 845449933/1978239364*c_0101_4^5 - 4810264011/1978239364*c_0101_4^4 - 719516318/494559841*c_0101_4^3 + 6208722883/1978239364*c_0101_4^2 + 894784295/1978239364*c_0101_4 - 3594648357/1978239364, c_0101_3 + 181255885/3956478728*c_0101_4^11 + 166039175/989119682*c_0101_4^10 - 196212379/3956478728*c_0101_4^9 + 3327248885/3956478728*c_0101_4^8 + 3815758351/3956478728*c_0101_4^7 + 1879965209/3956478728*c_0101_4^6 + 1025721797/494559841*c_0101_4^5 - 11196015565/3956478728*c_0101_4^4 - 6186291339/3956478728*c_0101_4^3 + 4259482205/989119682*c_0101_4^2 - 1787890169/1978239364*c_0101_4 - 7127202589/3956478728, c_0101_4^12 + 3*c_0101_4^11 - 3*c_0101_4^10 + 20*c_0101_4^9 + 6*c_0101_4^8 + 10*c_0101_4^7 + 27*c_0101_4^6 - 77*c_0101_4^5 + 10*c_0101_4^4 + 75*c_0101_4^3 - 30*c_0101_4^2 - 31*c_0101_4 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB