Magma V2.19-8 Tue Aug 20 2013 16:18:27 on localhost [Seed = 1730607696] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2651 geometric_solution 5.92144671 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.753186186532 0.658048988239 2 0 0 3 0132 0132 1023 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 0 0 0 -1 0 1 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 0.041184239960 0.603501520897 1 3 4 5 0132 2310 0132 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 -1 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 0.253231514530 0.845704280417 6 6 1 2 0132 1230 0132 3201 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253231514530 0.845704280417 5 5 6 2 3120 0132 2310 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 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 0.410925998922 0.344932259757 6 4 2 4 3120 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.161446758744 0.853421439160 3 4 3 5 0132 3201 3012 3120 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675070075373 1.085151777425 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 408068/209*c_0101_6^9 + 68032/19*c_0101_6^8 + 698109/209*c_0101_6^7 + 651737/209*c_0101_6^6 + 135270/19*c_0101_6^5 - 718174/209*c_0101_6^4 + 594251/209*c_0101_6^3 - 118739/19*c_0101_6^2 + 41376/209*c_0101_6 - 305088/209, c_0011_0 - 1, c_0011_3 - 340/11*c_0101_2*c_0101_6^9 + 1205/11*c_0101_2*c_0101_6^7 + 2125/11*c_0101_2*c_0101_6^6 + 323*c_0101_2*c_0101_6^5 + 3625/11*c_0101_2*c_0101_6^4 + 2961/11*c_0101_2*c_0101_6^3 + 175*c_0101_2*c_0101_6^2 + 589/11*c_0101_2*c_0101_6 + 300/11*c_0101_2, c_0011_4 - 40*c_0101_6^9 + 40*c_0101_6^8 + 102*c_0101_6^7 + 148*c_0101_6^6 + 269*c_0101_6^5 + 156*c_0101_6^4 + 191*c_0101_6^3 + 33*c_0101_6^2 + 35*c_0101_6, c_0101_0 - 1900/11*c_0101_2*c_0101_6^9 + 220*c_0101_2*c_0101_6^8 + 4275/11*c_0101_2*c_0101_6^7 + 5770/11*c_0101_2*c_0101_6^6 + 1000*c_0101_2*c_0101_6^5 + 4011/11*c_0101_2*c_0101_6^4 + 7200/11*c_0101_2*c_0101_6^3 - 75*c_0101_2*c_0101_6^2 + 1250/11*c_0101_2*c_0101_6 - 475/11*c_0101_2, c_0101_1 + 1200/11*c_0101_2*c_0101_6^9 - 140*c_0101_2*c_0101_6^8 - 2700/11*c_0101_2*c_0101_6^7 - 3595/11*c_0101_2*c_0101_6^6 - 625*c_0101_2*c_0101_6^5 - 2447/11*c_0101_2*c_0101_6^4 - 4475/11*c_0101_2*c_0101_6^3 + 51*c_0101_2*c_0101_6^2 - 775/11*c_0101_2*c_0101_6 + 300/11*c_0101_2, c_0101_2^2 + 12*c_0101_6^9 - 24*c_0101_6^8 - 19*c_0101_6^7 - 13*c_0101_6^6 - 35*c_0101_6^5 + 32*c_0101_6^4 - 8*c_0101_6^3 + 45*c_0101_6^2 + 10, c_0101_6^10 - c_0101_6^9 - 9/4*c_0101_6^8 - 4*c_0101_6^7 - 15/2*c_0101_6^6 - 5*c_0101_6^5 - 27/4*c_0101_6^4 - 2*c_0101_6^3 - 9/4*c_0101_6^2 - 1/4*c_0101_6 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB