Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 2101141922] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1175 geometric_solution 5.04735702 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.275279551984 1.369571745035 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 -0.591255589731 0.164221045912 0 3 4 0 3201 0132 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 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 0.341913057322 0.525386402811 4 2 5 6 2310 0132 0132 0132 0 0 0 0 0 0 -1 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 -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 -0.294904705748 0.933453583013 5 6 3 2 2310 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.294904705748 0.933453583013 5 5 4 3 1230 3012 3201 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713964010866 1.347215264197 6 6 3 4 1230 3012 0132 3201 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085114846834 0.679086650329 ==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' : negation(d['1']), 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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' : 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' : 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_5']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], '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' : d['c_0011_5'], '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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_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_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_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_5, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 2953683/16*c_0101_1^16 - 4947219/16*c_0101_1^15 + 10507287/8*c_0101_1^14 + 9944817/8*c_0101_1^13 - 63941669/16*c_0101_1^12 - 15828119/8*c_0101_1^11 + 103743611/16*c_0101_1^10 + 25810751/16*c_0101_1^9 - 6221924*c_0101_1^8 - 6467649/8*c_0101_1^7 + 56988007/16*c_0101_1^6 + 2163023/8*c_0101_1^5 - 4724429/4*c_0101_1^4 - 446723/8*c_0101_1^3 + 832643/4*c_0101_1^2 + 81939/16*c_0101_1 - 240703/16, c_0011_0 - 1, c_0011_2 + 38*c_0101_1^16 + 59*c_0101_1^15 - 290*c_0101_1^14 - 243*c_0101_1^13 + 938*c_0101_1^12 + 389*c_0101_1^11 - 1641*c_0101_1^10 - 303*c_0101_1^9 + 1740*c_0101_1^8 + 123*c_0101_1^7 - 1158*c_0101_1^6 - 25*c_0101_1^5 + 483*c_0101_1^4 + 2*c_0101_1^3 - 122*c_0101_1^2 + 15, c_0011_4 - 30324*c_0101_1^16 - 37069*c_0101_1^15 + 233372*c_0101_1^14 + 102980*c_0101_1^13 - 704418*c_0101_1^12 - 32372*c_0101_1^11 + 1081565*c_0101_1^10 - 157298*c_0101_1^9 - 959127*c_0101_1^8 + 209253*c_0101_1^7 + 505797*c_0101_1^6 - 110524*c_0101_1^5 - 154820*c_0101_1^4 + 27114*c_0101_1^3 + 25102*c_0101_1^2 - 2556*c_0101_1 - 1639, c_0011_5 - 30552*c_0101_1^16 - 44491*c_0101_1^15 + 227653*c_0101_1^14 + 159342*c_0101_1^13 - 696403*c_0101_1^12 - 196039*c_0101_1^11 + 1115128*c_0101_1^10 + 77733*c_0101_1^9 - 1050940*c_0101_1^8 + 20963*c_0101_1^7 + 596207*c_0101_1^6 - 25677*c_0101_1^5 - 198562*c_0101_1^4 + 7119*c_0101_1^3 + 35590*c_0101_1^2 - 643*c_0101_1 - 2639, c_0011_6 - 266*c_0101_1^16 - 318*c_0101_1^15 + 2111*c_0101_1^14 + 906*c_0101_1^13 - 6631*c_0101_1^12 - 224*c_0101_1^11 + 10741*c_0101_1^10 - 1803*c_0101_1^9 - 10155*c_0101_1^8 + 2628*c_0101_1^7 + 5799*c_0101_1^6 - 1628*c_0101_1^5 - 1963*c_0101_1^4 + 497*c_0101_1^3 + 362*c_0101_1^2 - 61*c_0101_1 - 28, c_0101_0 + 19*c_0101_1^16 + 20*c_0101_1^15 - 155*c_0101_1^14 - 44*c_0101_1^13 + 491*c_0101_1^12 - 51*c_0101_1^11 - 795*c_0101_1^10 + 246*c_0101_1^9 + 747*c_0101_1^8 - 312*c_0101_1^7 - 423*c_0101_1^6 + 199*c_0101_1^5 + 142*c_0101_1^4 - 70*c_0101_1^3 - 26*c_0101_1^2 + 12*c_0101_1 + 2, c_0101_1^17 + 20/19*c_0101_1^16 - 155/19*c_0101_1^15 - 44/19*c_0101_1^14 + 491/19*c_0101_1^13 - 51/19*c_0101_1^12 - 795/19*c_0101_1^11 + 246/19*c_0101_1^10 + 747/19*c_0101_1^9 - 312/19*c_0101_1^8 - 423/19*c_0101_1^7 + 199/19*c_0101_1^6 + 142/19*c_0101_1^5 - 70/19*c_0101_1^4 - 26/19*c_0101_1^3 + 13/19*c_0101_1^2 + 2/19*c_0101_1 - 1/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB