Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 1242289954] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3145 geometric_solution 6.30343497 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 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 0.192176416411 1.125271100562 2 0 4 3 3201 0132 0132 0132 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 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419147032824 1.574930025323 5 6 0 1 0132 0132 0132 2310 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 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 0.223494676884 0.612734072873 3 3 1 5 1302 2031 0132 0213 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 -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 0.237307946155 0.720197788638 5 6 6 1 2310 1230 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454868470257 0.405073311924 2 6 4 3 0132 2310 3201 0213 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.453941232825 0.899317849522 4 2 4 5 2103 0132 3012 3201 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 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 0.181849870493 0.878202443112 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(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' : d['c_0011_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_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_2']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_4']})} 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_3, c_0101_1, c_0101_2, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 7089016/22988931*c_0101_2*c_0110_6^8 + 828612619/91955724*c_0101_2*c_0110_6^6 + 6904172651/91955724*c_0101_2*c_0110_6^4 + 2183786971/45977862*c_0101_2*c_0110_6^2 + 7197824381/91955724*c_0101_2, c_0011_0 - 1, c_0011_2 - 142329/15325954*c_0101_2*c_0110_6^9 - 2089737/7662977*c_0101_2*c_0110_6^7 - 35065417/15325954*c_0101_2*c_0110_6^5 - 23296787/15325954*c_0101_2*c_0110_6^3 - 19829699/15325954*c_0101_2*c_0110_6, c_0011_3 + 56871/7662977*c_0110_6^9 + 1636414/7662977*c_0110_6^7 + 13137254/7662977*c_0110_6^5 + 3103372/7662977*c_0110_6^3 + 9828884/7662977*c_0110_6, c_0101_1 + 1027/15325954*c_0101_2*c_0110_6^9 - 29016/7662977*c_0101_2*c_0110_6^7 - 2360475/15325954*c_0101_2*c_0110_6^5 - 21549077/15325954*c_0101_2*c_0110_6^3 - 7946035/15325954*c_0101_2*c_0110_6, c_0101_2^2 - 2104/1094711*c_0110_6^8 - 61253/1094711*c_0110_6^6 - 485256/1094711*c_0110_6^4 + 334325/1094711*c_0110_6^2 - 795154/1094711, c_0101_4 + 2104/1094711*c_0110_6^8 + 61253/1094711*c_0110_6^6 + 485256/1094711*c_0110_6^4 - 334325/1094711*c_0110_6^2 - 299557/1094711, c_0110_6^10 + 29*c_0110_6^8 + 237*c_0110_6^6 + 100*c_0110_6^4 + 220*c_0110_6^2 - 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB