Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 2682127173] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0928 geometric_solution 4.82971639 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.305805316577 0.263204060513 2 0 0 3 0132 0132 1023 0132 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 1 0 -1 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 1.065500678010 0.674623313444 1 4 3 3 0132 0132 3201 2031 0 0 0 0 0 0 -1 1 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 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 0.344916683047 0.693752364823 2 2 1 4 2310 1302 0132 1023 0 0 0 0 0 0 -1 1 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0.344916683047 0.693752364823 5 2 5 3 0132 0132 1023 1023 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 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 0.768481974509 0.864925729888 4 6 4 6 0132 0132 1023 1023 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 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 0.646247618466 0.175405769040 6 5 6 5 2031 0132 1302 1023 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 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 0.615554379495 0.054746631629 ==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' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0101_4'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_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_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: 23 Groebner basis: [ t + 326/7*c_0110_6^22 + 358/7*c_0110_6^21 - 738*c_0110_6^20 - 5338/7*c_0110_6^19 + 34406/7*c_0110_6^18 + 32450/7*c_0110_6^17 - 124693/7*c_0110_6^16 - 102209/7*c_0110_6^15 + 266002/7*c_0110_6^14 + 172765/7*c_0110_6^13 - 338370/7*c_0110_6^12 - 138463/7*c_0110_6^11 + 36121*c_0110_6^10 + 15817/7*c_0110_6^9 - 115742/7*c_0110_6^8 + 44669/7*c_0110_6^7 + 43436/7*c_0110_6^6 - 30089/7*c_0110_6^5 - 14116/7*c_0110_6^4 + 13654/7*c_0110_6^3 + 2446/7*c_0110_6^2 - 264*c_0110_6 - 95/7, c_0011_0 - 1, c_0011_3 - c_0110_6^3 + 2*c_0110_6, c_0101_0 - c_0110_6^22 + 2*c_0110_6^21 + 19*c_0110_6^20 - 31*c_0110_6^19 - 150*c_0110_6^18 + 205*c_0110_6^17 + 636*c_0110_6^16 - 753*c_0110_6^15 - 1556*c_0110_6^14 + 1673*c_0110_6^13 + 2170*c_0110_6^12 - 2294*c_0110_6^11 - 1528*c_0110_6^10 + 1916*c_0110_6^9 + 265*c_0110_6^8 - 981*c_0110_6^7 + 272*c_0110_6^6 + 372*c_0110_6^5 - 209*c_0110_6^4 - 123*c_0110_6^3 + 98*c_0110_6^2 + 15*c_0110_6 - 13, c_0101_1 + c_0110_6^22 + c_0110_6^21 - 16*c_0110_6^20 - 15*c_0110_6^19 + 107*c_0110_6^18 + 91*c_0110_6^17 - 386*c_0110_6^16 - 282*c_0110_6^15 + 808*c_0110_6^14 + 455*c_0110_6^13 - 984*c_0110_6^12 - 315*c_0110_6^11 + 675*c_0110_6^10 - 33*c_0110_6^9 - 273*c_0110_6^8 + 148*c_0110_6^7 + 99*c_0110_6^6 - 78*c_0110_6^5 - 28*c_0110_6^4 + 37*c_0110_6^3 + 3*c_0110_6^2 - 3*c_0110_6, c_0101_2 + c_0110_6^4 - 3*c_0110_6^2 + 1, c_0101_4 - c_0110_6^2 + 1, c_0110_6^23 + c_0110_6^22 - 16*c_0110_6^21 - 15*c_0110_6^20 + 108*c_0110_6^19 + 92*c_0110_6^18 - 399*c_0110_6^17 - 294*c_0110_6^16 + 876*c_0110_6^15 + 510*c_0110_6^14 - 1166*c_0110_6^13 - 432*c_0110_6^12 + 937*c_0110_6^11 + 71*c_0110_6^10 - 471*c_0110_6^9 + 145*c_0110_6^8 + 180*c_0110_6^7 - 120*c_0110_6^6 - 58*c_0110_6^5 + 58*c_0110_6^4 + 12*c_0110_6^3 - 13*c_0110_6^2 - c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB