K13n4179
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Polynomial invariants
| Jones polynomial | Data:K13n4179/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+27 t^2-44 t+51-44 t^{-1} +27 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4179/Conway Polynomial |
| Determinant | 217 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-6} -2 z^6 a^{-4} +11 z^6 a^{-6} -3 z^6 a^{-8} -6 z^4 a^{-4} +24 z^4 a^{-6} -12 z^4 a^{-8} +z^4 a^{-10} -5 z^2 a^{-4} +25 z^2 a^{-6} -17 z^2 a^{-8} +3 z^2 a^{-10} -2 a^{-4} +10 a^{-6} -9 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-7} +3 z^{11} a^{-9} +8 z^{10} a^{-6} +17 z^{10} a^{-8} +9 z^{10} a^{-10} +6 z^9 a^{-5} +11 z^9 a^{-7} +16 z^9 a^{-9} +11 z^9 a^{-11} +z^8 a^{-4} -20 z^8 a^{-6} -39 z^8 a^{-8} -10 z^8 a^{-10} +8 z^8 a^{-12} -11 z^7 a^{-5} -40 z^7 a^{-7} -53 z^7 a^{-9} -20 z^7 a^{-11} +4 z^7 a^{-13} +8 z^6 a^{-4} +44 z^6 a^{-6} +51 z^6 a^{-8} -14 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-3} +21 z^5 a^{-5} +62 z^5 a^{-7} +65 z^5 a^{-9} +13 z^5 a^{-11} -8 z^5 a^{-13} -16 z^4 a^{-4} -57 z^4 a^{-6} -52 z^4 a^{-8} -3 z^4 a^{-10} +6 z^4 a^{-12} -2 z^4 a^{-14} -5 z^3 a^{-3} -24 z^3 a^{-5} -51 z^3 a^{-7} -42 z^3 a^{-9} -5 z^3 a^{-11} +5 z^3 a^{-13} +8 z^2 a^{-4} +36 z^2 a^{-6} +34 z^2 a^{-8} +5 z^2 a^{-10} +z^2 a^{-14} +2 z a^{-3} +8 z a^{-5} +17 z a^{-7} +11 z a^{-9} -z a^{-11} -z a^{-13} -2 a^{-4} -10 a^{-6} -9 a^{-8} -2 a^{-10} }[/math] |
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