Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 3701293070] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1279 geometric_solution 5.17411210 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 0 -1 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 0.471936564342 0.474188904313 0 3 4 2 0132 1230 3012 2103 0 0 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 0 0 0 0 0 0 -1 1 0 0 1 -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 1.048356226314 0.941399946896 2 0 2 1 2310 0132 3201 2103 0 0 0 0 0 0 0 0 0 0 -1 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 -1 0 1 0 0 -1 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 0.755180688877 0.484357567358 5 5 1 0 0132 2310 3012 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 -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 -0.923985090147 1.160103714531 4 1 0 4 3012 1230 0132 1230 0 0 0 0 0 -1 0 1 -1 0 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 -1 1 0 0 0 -1 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 0.945579855920 1.059452414976 3 6 6 3 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.162761275620 0.492593788643 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.421070892034 0.643969276634 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : 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' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), '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_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(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_0011_4, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 299267917867/45633710045*c_0101_6^21 + 24367540859/4148519095*c_0101_6^20 + 9338666193081/91267420090*c_0101_6^19 - 7745424846191/91267420090*c_0101_6^18 - 31106245492822/45633710045*c_0101_6^17 + 23687975129829/45633710045*c_0101_6^16 + 231367429699731/91267420090*c_0101_6^15 - 158231389247661/91267420090*c_0101_6^14 - 263686606201472/45633710045*c_0101_6^13 + 4010276725879/1185291170*c_0101_6^12 + 54364817112929/6519101435*c_0101_6^11 - 34545619131621/9126742009*c_0101_6^10 - 138399716012297/18253484018*c_0101_6^9 + 193443360249627/91267420090*c_0101_6^8 + 11300248515722/2684335885*c_0101_6^7 - 10732864317207/45633710045*c_0101_6^6 - 20059081216469/13038202870*c_0101_6^5 - 6358135443413/18253484018*c_0101_6^4 + 28118899722967/45633710045*c_0101_6^3 + 540460217128/2684335885*c_0101_6^2 - 11916084365743/91267420090*c_0101_6 + 6210058989/45633710045, c_0011_0 - 1, c_0011_3 - c_0101_6^2 + 1, c_0011_4 + c_0101_6^4 - 3*c_0101_6^2 + 1, c_0101_1 + 310481/996043*c_0101_6^21 - 345068/996043*c_0101_6^20 - 4611693/996043*c_0101_6^19 + 4815967/996043*c_0101_6^18 + 29221815/996043*c_0101_6^17 - 28472074/996043*c_0101_6^16 - 103312271/996043*c_0101_6^15 + 92037488/996043*c_0101_6^14 + 223993071/996043*c_0101_6^13 - 174240276/996043*c_0101_6^12 - 308575608/996043*c_0101_6^11 + 189767061/996043*c_0101_6^10 + 270686594/996043*c_0101_6^9 - 103771910/996043*c_0101_6^8 - 149050181/996043*c_0101_6^7 + 10891711/996043*c_0101_6^6 + 56430301/996043*c_0101_6^5 + 15350894/996043*c_0101_6^4 - 21640129/996043*c_0101_6^3 - 6855982/996043*c_0101_6^2 + 4560409/996043*c_0101_6 + 869564/996043, c_0101_2 + 4050/996043*c_0101_6^21 - 18360/996043*c_0101_6^20 + 72/996043*c_0101_6^19 - 138713/996043*c_0101_6^18 + 72382/996043*c_0101_6^17 + 3472428/996043*c_0101_6^16 - 2838864/996043*c_0101_6^15 - 21063349/996043*c_0101_6^14 + 18878906/996043*c_0101_6^13 + 62914604/996043*c_0101_6^12 - 56181017/996043*c_0101_6^11 - 107001840/996043*c_0101_6^10 + 86837561/996043*c_0101_6^9 + 109869057/996043*c_0101_6^8 - 69042985/996043*c_0101_6^7 - 70242772/996043*c_0101_6^6 + 23912711/996043*c_0101_6^5 + 30208869/996043*c_0101_6^4 - 337327/996043*c_0101_6^3 - 14059762/996043*c_0101_6^2 - 1014223/996043*c_0101_6 + 3092865/996043, c_0101_3 + c_0101_6^3 - 2*c_0101_6, c_0101_6^22 - c_0101_6^21 - 16*c_0101_6^20 + 15*c_0101_6^19 + 110*c_0101_6^18 - 96*c_0101_6^17 - 426*c_0101_6^16 + 340*c_0101_6^15 + 1025*c_0101_6^14 - 721*c_0101_6^13 - 1596*c_0101_6^12 + 921*c_0101_6^11 + 1625*c_0101_6^10 - 668*c_0101_6^9 - 1075*c_0101_6^8 + 219*c_0101_6^7 + 483*c_0101_6^6 + 22*c_0101_6^5 - 191*c_0101_6^4 - 44*c_0101_6^3 + 59*c_0101_6^2 + 10*c_0101_6 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB