Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 812756619] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m272 geometric_solution 4.30028736 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 3201 0132 0132 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 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 -0.314578985585 0.619854509676 0 1 0 1 0132 1302 2310 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 -0.082687226726 1.701229052939 3 3 4 0 1023 2031 0132 0132 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 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 0.207854459668 0.676066011394 2 2 0 4 1302 1023 0132 2310 0 0 0 0 0 -1 0 1 -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 1 -1 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 0.207854459668 0.676066011394 3 4 4 2 3201 3201 2310 0132 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 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 1.120646802506 1.272730433088 ==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_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_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_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 14386061784/1803727195*c_0101_4^9 + 126249460188/1803727195*c_0101_4^8 - 302549888911/1803727195*c_0101_4^7 - 571865526657/1803727195*c_0101_4^6 + 1860380914293/1803727195*c_0101_4^5 + 1920863725096/1803727195*c_0101_4^4 + 319522738439/1803727195*c_0101_4^3 + 196057310532/1803727195*c_0101_4^2 - 56839358063/1803727195*c_0101_4 - 72026589102/1803727195, c_0011_0 - 1, c_0011_2 + 65517736/360745439*c_0101_4^9 - 602367555/360745439*c_0101_4^8 + 1634308997/360745439*c_0101_4^7 + 1877384419/360745439*c_0101_4^6 - 9129449950/360745439*c_0101_4^5 - 4835885678/360745439*c_0101_4^4 - 96910604/360745439*c_0101_4^3 - 1144863226/360745439*c_0101_4^2 + 816325291/360745439*c_0101_4 + 172276506/360745439, c_0011_4 - 63430387/360745439*c_0101_4^9 + 564982242/360745439*c_0101_4^8 - 1419090474/360745439*c_0101_4^7 - 2232865941/360745439*c_0101_4^6 + 8201536064/360745439*c_0101_4^5 + 7153351941/360745439*c_0101_4^4 + 2013669345/360745439*c_0101_4^3 + 1020081001/360745439*c_0101_4^2 - 609757138/360745439*c_0101_4 - 76651489/360745439, c_0101_0 + 54239247/360745439*c_0101_4^9 - 502894278/360745439*c_0101_4^8 + 1383853262/360745439*c_0101_4^7 + 1519825142/360745439*c_0101_4^6 - 7856800043/360745439*c_0101_4^5 - 3690677699/360745439*c_0101_4^4 + 1205244567/360745439*c_0101_4^3 + 210902232/360745439*c_0101_4^2 + 1015921221/360745439*c_0101_4 - 31732944/360745439, c_0101_4^10 - 9*c_0101_4^9 + 23*c_0101_4^8 + 35*c_0101_4^7 - 138*c_0101_4^6 - 105*c_0101_4^5 + 7*c_0101_4^4 - 6*c_0101_4^3 + 8*c_0101_4^2 + 4*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB