K13n3407
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Polynomial invariants
| Jones polynomial | Data:K13n3407/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-42 t+53-42 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3407/Conway Polynomial |
| Determinant | 197 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-3 z^6 a^{-2} +5 z^6-3 a^2 z^4-11 z^4 a^{-2} +2 z^4 a^{-4} +12 z^4-4 a^2 z^2-14 z^2 a^{-2} +4 z^2 a^{-4} +13 z^2-a^2-5 a^{-2} +2 a^{-4} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +8 z^{10} a^{-2} +2 z^{10} a^{-4} +6 z^{10}+13 a z^9+23 z^9 a^{-1} +11 z^9 a^{-3} +z^9 a^{-5} +14 a^2 z^8+8 z^8 a^{-2} +6 z^8 a^{-4} +16 z^8+9 a^3 z^7-15 a z^7-52 z^7 a^{-1} -23 z^7 a^{-3} +5 z^7 a^{-5} +4 a^4 z^6-23 a^2 z^6-64 z^6 a^{-2} -24 z^6 a^{-4} +3 z^6 a^{-6} -64 z^6+a^5 z^5-11 a^3 z^5+a z^5+31 z^5 a^{-1} +2 z^5 a^{-3} -16 z^5 a^{-5} -4 a^4 z^4+20 a^2 z^4+74 z^4 a^{-2} +22 z^4 a^{-4} -6 z^4 a^{-6} +70 z^4-a^5 z^3+6 a^3 z^3+5 a z^3-3 z^3 a^{-1} +10 z^3 a^{-3} +11 z^3 a^{-5} +a^4 z^2-9 a^2 z^2-33 z^2 a^{-2} -9 z^2 a^{-4} +2 z^2 a^{-6} -32 z^2-a^3 z-2 a z-2 z a^{-1} -3 z a^{-3} -2 z a^{-5} +a^2+5 a^{-2} +2 a^{-4} +5 }[/math] |
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