Magma V2.19-8 Tue Aug 20 2013 16:16:45 on localhost [Seed = 1065264115] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1029 geometric_solution 4.91201291 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 -1 -1 2 0 0 1 -1 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 0 1 -1 0 0 0 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 0.846067888291 0.686870348914 0 3 4 3 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.374518721703 1.078581668825 5 4 0 3 0132 0213 0132 2310 0 0 0 0 0 1 -2 1 0 0 1 -1 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 -1 1 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 1.922210500215 1.570352835817 2 1 4 1 3201 0132 3012 2103 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 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 -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 0.158069400173 0.431980232089 5 3 2 1 3120 1230 0213 0132 0 0 0 0 0 1 -1 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 -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 0.523912404995 0.571555326803 2 6 6 4 0132 0132 3201 3120 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.088194112918 0.196476735790 5 5 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.786846493288 4.340072304311 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : 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' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0110_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : 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_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : negation(d['c_0011_4']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 14*c_0110_3^15 - 47*c_0110_3^14 - 115*c_0110_3^13 + 495*c_0110_3^12 + 290*c_0110_3^11 - 2058*c_0110_3^10 - 46*c_0110_3^9 + 4276*c_0110_3^8 - 747*c_0110_3^7 - 4716*c_0110_3^6 + 702*c_0110_3^5 + 2879*c_0110_3^4 + 244*c_0110_3^3 - 1102*c_0110_3^2 - 326*c_0110_3 + 257, c_0011_0 - 1, c_0011_2 - c_0110_3^15 + 2*c_0110_3^14 + 10*c_0110_3^13 - 20*c_0110_3^12 - 39*c_0110_3^11 + 77*c_0110_3^10 + 76*c_0110_3^9 - 141*c_0110_3^8 - 85*c_0110_3^7 + 122*c_0110_3^6 + 70*c_0110_3^5 - 42*c_0110_3^4 - 44*c_0110_3^3 + 3*c_0110_3^2 + 11*c_0110_3, c_0011_4 - 4*c_0110_3^15 + 9*c_0110_3^14 + 39*c_0110_3^13 - 90*c_0110_3^12 - 147*c_0110_3^11 + 347*c_0110_3^10 + 274*c_0110_3^9 - 639*c_0110_3^8 - 297*c_0110_3^7 + 564*c_0110_3^6 + 261*c_0110_3^5 - 214*c_0110_3^4 - 183*c_0110_3^3 + 33*c_0110_3^2 + 45*c_0110_3 - 3, c_0101_0 + 8*c_0110_3^15 - 17*c_0110_3^14 - 80*c_0110_3^13 + 171*c_0110_3^12 + 312*c_0110_3^11 - 663*c_0110_3^10 - 609*c_0110_3^9 + 1226*c_0110_3^8 + 688*c_0110_3^7 - 1079*c_0110_3^6 - 583*c_0110_3^5 + 394*c_0110_3^4 + 376*c_0110_3^3 - 50*c_0110_3^2 - 89*c_0110_3 + 5, c_0101_1 + c_0110_3^15 - 2*c_0110_3^14 - 10*c_0110_3^13 + 20*c_0110_3^12 + 39*c_0110_3^11 - 77*c_0110_3^10 - 76*c_0110_3^9 + 141*c_0110_3^8 + 85*c_0110_3^7 - 122*c_0110_3^6 - 71*c_0110_3^5 + 43*c_0110_3^4 + 47*c_0110_3^3 - 5*c_0110_3^2 - 12*c_0110_3, c_0101_6 + c_0110_3^15 - 2*c_0110_3^14 - 10*c_0110_3^13 + 20*c_0110_3^12 + 39*c_0110_3^11 - 77*c_0110_3^10 - 76*c_0110_3^9 + 141*c_0110_3^8 + 85*c_0110_3^7 - 122*c_0110_3^6 - 70*c_0110_3^5 + 43*c_0110_3^4 + 43*c_0110_3^3 - 6*c_0110_3^2 - 9*c_0110_3 + 1, c_0110_3^16 - 4*c_0110_3^15 - 6*c_0110_3^14 + 40*c_0110_3^13 - c_0110_3^12 - 155*c_0110_3^11 + 78*c_0110_3^10 + 293*c_0110_3^9 - 197*c_0110_3^8 - 292*c_0110_3^7 + 174*c_0110_3^6 + 183*c_0110_3^5 - 42*c_0110_3^4 - 93*c_0110_3^3 + 21*c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB