Magma V2.19-8 Tue Aug 20 2013 16:16:37 on localhost [Seed = 240095959] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0914 geometric_solution 4.80873834 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 1023 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 0 0 0.369695597738 0.083857217959 2 0 2 0 0132 0132 2310 1023 0 0 0 0 0 1 -1 0 0 0 1 -1 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 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 -1.132461246982 1.835279351001 1 1 3 4 0132 3201 0132 0132 0 0 0 0 0 1 0 -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 0 0 0 1 0 -1 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 0.107564868426 0.945298806632 5 4 4 2 0132 1023 2031 0132 0 0 0 0 0 0 0 0 -1 0 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 -1 0 0 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 0.275916832849 0.766485478902 3 5 2 3 1023 2310 0132 1302 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 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 0.275916832849 0.766485478902 3 6 6 4 0132 0132 3201 3201 0 0 0 0 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 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 -0.192001699447 0.788628696490 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.235384356580 0.484492407533 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : 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_1, c_0101_2, c_0101_3, c_0101_6, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 25 Groebner basis: [ t + 3719/320*c_0110_0^24 - 34651/160*c_0110_0^23 - 76823/320*c_0110_0^22 + 672427/160*c_0110_0^21 + 138063/64*c_0110_0^20 - 11241829/320*c_0110_0^19 - 1733329/160*c_0110_0^18 + 52964587/320*c_0110_0^17 + 643433/20*c_0110_0^16 - 154596939/320*c_0110_0^15 - 1675839/32*c_0110_0^14 + 144733011/160*c_0110_0^13 + 7250661/320*c_0110_0^12 - 69550435/64*c_0110_0^11 + 1593181/20*c_0110_0^10 + 259505451/320*c_0110_0^9 - 53809199/320*c_0110_0^8 - 55463343/160*c_0110_0^7 + 46192817/320*c_0110_0^6 + 22325179/320*c_0110_0^5 - 18634433/320*c_0110_0^4 - 414509/160*c_0110_0^3 + 749803/80*c_0110_0^2 - 182797/320*c_0110_0 - 88771/320, c_0011_0 - 1, c_0011_3 + 3*c_0110_0^24 - 59*c_0110_0^22 + 501*c_0110_0^20 - 3*c_0110_0^19 - 2405*c_0110_0^18 + 47*c_0110_0^17 + 7180*c_0110_0^16 - 313*c_0110_0^15 - 13819*c_0110_0^14 + 1147*c_0110_0^13 + 17181*c_0110_0^12 - 2507*c_0110_0^11 - 13404*c_0110_0^10 + 3318*c_0110_0^9 + 6096*c_0110_0^8 - 2580*c_0110_0^7 - 1357*c_0110_0^6 + 1086*c_0110_0^5 + 71*c_0110_0^4 - 210*c_0110_0^3 + 12*c_0110_0^2 + 12*c_0110_0, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_2 - c_0110_0^2 + 1, c_0101_3 + c_0110_0^6 - 5*c_0110_0^4 + 6*c_0110_0^2 - 1, c_0101_6 + 5*c_0110_0^24 + 4*c_0110_0^23 - 97*c_0110_0^22 - 77*c_0110_0^21 + 810*c_0110_0^20 + 632*c_0110_0^19 - 3812*c_0110_0^18 - 2883*c_0110_0^17 + 11132*c_0110_0^16 + 7975*c_0110_0^15 - 20976*c_0110_0^14 - 13653*c_0110_0^13 + 25793*c_0110_0^12 + 14023*c_0110_0^11 - 20623*c_0110_0^10 - 7665*c_0110_0^9 + 10672*c_0110_0^8 + 1284*c_0110_0^7 - 3614*c_0110_0^6 + 528*c_0110_0^5 + 793*c_0110_0^4 - 181*c_0110_0^3 - 93*c_0110_0^2 + 7*c_0110_0 + 3, c_0110_0^25 - 21*c_0110_0^23 + 193*c_0110_0^21 - c_0110_0^20 - 1020*c_0110_0^19 + 17*c_0110_0^18 + 3426*c_0110_0^17 - 125*c_0110_0^16 - 7628*c_0110_0^15 + 518*c_0110_0^14 + 11383*c_0110_0^13 - 1323*c_0110_0^12 - 11226*c_0110_0^11 + 2141*c_0110_0^10 + 7001*c_0110_0^9 - 2172*c_0110_0^8 - 2509*c_0110_0^7 + 1315*c_0110_0^6 + 411*c_0110_0^5 - 428*c_0110_0^4 - 8*c_0110_0^3 + 61*c_0110_0^2 - 3*c_0110_0 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB