Magma V2.19-8 Tue Aug 20 2013 16:16:13 on localhost [Seed = 3069651575] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0486 geometric_solution 4.50731453 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 3012 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 0 -1 0 1 -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 0 0 0 0.832421723462 0.809604763584 0 4 4 2 0132 0132 3201 0213 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 1 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 1.023525158946 0.318058476451 3 0 0 1 2031 0132 1230 0213 0 0 0 0 0 0 0 0 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 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 0.382653151542 0.600425163361 5 5 2 0 0132 3201 1302 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.214086942412 0.459509162051 1 1 4 4 2310 0132 1230 3012 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.450878210749 0.307034060407 3 6 3 6 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.972031610246 2.063963119142 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366796383667 0.095423463035 ==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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], '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_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 9/2*c_0110_6^15 - 41/8*c_0110_6^14 - 189/4*c_0110_6^13 + 545/8*c_0110_6^12 + 1423/8*c_0110_6^11 - 343*c_0110_6^10 - 1903/8*c_0110_6^9 + 806*c_0110_6^8 - 1081/8*c_0110_6^7 - 837*c_0110_6^6 + 2441/4*c_0110_6^5 + 831/4*c_0110_6^4 - 3331/8*c_0110_6^3 + 1009/8*c_0110_6^2 + 427/8*c_0110_6 - 261/8, c_0011_0 - 1, c_0011_3 + c_0110_6^2 - 1, c_0101_0 - c_0110_6^3 + 2*c_0110_6, c_0101_1 + c_0110_6^7 - 5*c_0110_6^5 + c_0110_6^4 + 7*c_0110_6^3 - 3*c_0110_6^2 - 2*c_0110_6 + 1, c_0101_2 + c_0110_6^4 - 3*c_0110_6^2 + 1, c_0101_4 + c_0110_6^11 - 8*c_0110_6^9 + 2*c_0110_6^8 + 23*c_0110_6^7 - 12*c_0110_6^6 - 27*c_0110_6^5 + 22*c_0110_6^4 + 9*c_0110_6^3 - 12*c_0110_6^2 + c_0110_6 + 2, c_0110_6^16 - 11*c_0110_6^14 + 3*c_0110_6^13 + 48*c_0110_6^12 - 27*c_0110_6^11 - 102*c_0110_6^10 + 91*c_0110_6^9 + 98*c_0110_6^8 - 140*c_0110_6^7 - 14*c_0110_6^6 + 95*c_0110_6^5 - 35*c_0110_6^4 - 23*c_0110_6^3 + 17*c_0110_6^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB