Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 3734979084] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1300 geometric_solution 5.18904995 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 3201 0 0 0 0 0 -1 0 1 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 1 0 -1 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 0.406219349363 0.094647342460 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.486157937535 1.452541526799 1 3 4 5 0132 3201 0132 0132 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428218256691 0.915688785774 5 4 2 1 1023 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -1 0 -1 -1 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428218256691 0.915688785774 6 3 6 2 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 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 0.936864785979 0.532772956364 5 3 2 5 3012 1023 0132 1230 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 -1 0 1 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.138598756089 0.727738153991 4 6 4 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588063695762 0.184867776549 ==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' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_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_1, c_0011_3, c_0101_1, c_0101_3, c_0101_4, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 13945/12096*c_0110_0^18 + 2395/1728*c_0110_0^17 + 123553/6048*c_0110_0^16 - 97925/6048*c_0110_0^15 - 9955/64*c_0110_0^14 + 29889/448*c_0110_0^13 + 7947703/12096*c_0110_0^12 - 18345/224*c_0110_0^11 - 556789/336*c_0110_0^10 - 402013/2016*c_0110_0^9 + 5022907/2016*c_0110_0^8 + 9502085/12096*c_0110_0^7 - 25205167/12096*c_0110_0^6 - 6030929/6048*c_0110_0^5 + 9555551/12096*c_0110_0^4 + 1071229/2016*c_0110_0^3 - 31711/756*c_0110_0^2 - 1264723/12096*c_0110_0 - 131501/6048, c_0011_0 - 1, c_0011_1 - c_0110_0^2 + 1, c_0011_3 - 1/8*c_0110_0^18 - 3/8*c_0110_0^17 + 5/4*c_0110_0^16 + 19/4*c_0110_0^15 - 23/8*c_0110_0^14 - 181/8*c_0110_0^13 - 81/8*c_0110_0^12 + 185/4*c_0110_0^11 + 125/2*c_0110_0^10 - 71/4*c_0110_0^9 - 459/4*c_0110_0^8 - 627/8*c_0110_0^7 + 609/8*c_0110_0^6 + 447/4*c_0110_0^5 + 7/8*c_0110_0^4 - 165/4*c_0110_0^3 - 8*c_0110_0^2 + 21/8*c_0110_0 + 3/4, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_3 - 7/8*c_0110_0^18 - 13/8*c_0110_0^17 + 47/4*c_0110_0^16 + 97/4*c_0110_0^15 - 489/8*c_0110_0^14 - 1179/8*c_0110_0^13 + 1185/8*c_0110_0^12 + 1871/4*c_0110_0^11 - 267/2*c_0110_0^10 - 3285/4*c_0110_0^9 - 369/4*c_0110_0^8 + 6187/8*c_0110_0^7 + 2071/8*c_0110_0^6 - 1403/4*c_0110_0^5 - 1167/8*c_0110_0^4 + 277/4*c_0110_0^3 + 25*c_0110_0^2 - 37/8*c_0110_0 - 3/4, c_0101_4 - c_0110_0^7 - c_0110_0^6 + 5*c_0110_0^5 + 5*c_0110_0^4 - 7*c_0110_0^3 - 7*c_0110_0^2 + 2*c_0110_0 + 1, c_0110_0^19 + c_0110_0^18 - 16*c_0110_0^17 - 18*c_0110_0^16 + 107*c_0110_0^15 + 135*c_0110_0^14 - 385*c_0110_0^13 - 548*c_0110_0^12 + 792*c_0110_0^11 + 1302*c_0110_0^10 - 894*c_0110_0^9 - 1817*c_0110_0^8 + 441*c_0110_0^7 + 1404*c_0110_0^6 + 21*c_0110_0^5 - 520*c_0110_0^4 - 68*c_0110_0^3 + 75*c_0110_0^2 + 12*c_0110_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB