K13a2373
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Polynomial invariants
| Jones polynomial | Data:K13a2373/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-13 t^3+33 t^2-50 t+57-50 t^{-1} +33 t^{-2} -13 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2373/Conway Polynomial |
| Determinant | 253 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -2 z^6 a^{-2} +2 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} -6 z^4 a^{-2} -4 z^4 a^{-4} +7 z^4 a^{-6} -3 z^4 a^{-8} +z^4-3 z^2 a^{-2} -10 z^2 a^{-4} +9 z^2 a^{-6} -2 z^2 a^{-8} +3 z^2+ a^{-2} -6 a^{-4} +5 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-4} +2 z^{12} a^{-6} +5 z^{11} a^{-3} +13 z^{11} a^{-5} +8 z^{11} a^{-7} +5 z^{10} a^{-2} +9 z^{10} a^{-4} +18 z^{10} a^{-6} +14 z^{10} a^{-8} +3 z^9 a^{-1} -12 z^9 a^{-3} -35 z^9 a^{-5} -5 z^9 a^{-7} +15 z^9 a^{-9} -17 z^8 a^{-2} -54 z^8 a^{-4} -79 z^8 a^{-6} -31 z^8 a^{-8} +12 z^8 a^{-10} +z^8-12 z^7 a^{-1} +14 z^7 a^{-5} -37 z^7 a^{-7} -31 z^7 a^{-9} +8 z^7 a^{-11} +15 z^6 a^{-2} +83 z^6 a^{-4} +108 z^6 a^{-6} +23 z^6 a^{-8} -18 z^6 a^{-10} +4 z^6 a^{-12} -5 z^6+14 z^5 a^{-1} +6 z^5 a^{-3} +24 z^5 a^{-5} +70 z^5 a^{-7} +27 z^5 a^{-9} -10 z^5 a^{-11} +z^5 a^{-13} -5 z^4 a^{-2} -71 z^4 a^{-4} -69 z^4 a^{-6} +z^4 a^{-8} +8 z^4 a^{-10} -5 z^4 a^{-12} +9 z^4-4 z^3 a^{-1} -27 z^3 a^{-5} -44 z^3 a^{-7} -10 z^3 a^{-9} +2 z^3 a^{-11} -z^3 a^{-13} +3 z^2 a^{-2} +34 z^2 a^{-4} +24 z^2 a^{-6} -2 z^2 a^{-8} -z^2 a^{-10} +z^2 a^{-12} -7 z^2-z a^{-1} -z a^{-3} +7 z a^{-5} +10 z a^{-7} +3 z a^{-9} - a^{-2} -6 a^{-4} -5 a^{-6} - a^{-8} +2 }[/math] |
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