K13a1082
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Polynomial invariants
| Jones polynomial | Data:K13a1082/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-28 t^2+72 t-95+72 t^{-1} -28 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1082/Conway Polynomial |
| Determinant | 303 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +z^4 a^{-4} -z^4 a^{-8} -2 z^4+a^2 z^2-4 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} -z^2+a^2-2 a^{-2} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-4} +2 z^{12} a^{-6} +6 z^{11} a^{-3} +14 z^{11} a^{-5} +8 z^{11} a^{-7} +8 z^{10} a^{-2} +16 z^{10} a^{-4} +21 z^{10} a^{-6} +13 z^{10} a^{-8} +8 z^9 a^{-1} -23 z^9 a^{-5} -4 z^9 a^{-7} +11 z^9 a^{-9} -6 z^8 a^{-2} -45 z^8 a^{-4} -72 z^8 a^{-6} -34 z^8 a^{-8} +5 z^8 a^{-10} +6 z^8+3 a z^7-11 z^7 a^{-1} -7 z^7 a^{-3} +6 z^7 a^{-5} -34 z^7 a^{-7} -32 z^7 a^{-9} +z^7 a^{-11} +a^2 z^6-6 z^6 a^{-2} +53 z^6 a^{-4} +84 z^6 a^{-6} +24 z^6 a^{-8} -13 z^6 a^{-10} -11 z^6-6 a z^5+5 z^5 a^{-1} -2 z^5 a^{-3} +3 z^5 a^{-5} +44 z^5 a^{-7} +26 z^5 a^{-9} -2 z^5 a^{-11} -3 a^2 z^4+13 z^4 a^{-2} -34 z^4 a^{-4} -48 z^4 a^{-6} -5 z^4 a^{-8} +7 z^4 a^{-10} +8 z^4+3 a z^3-z^3 a^{-1} +11 z^3 a^{-3} +5 z^3 a^{-5} -16 z^3 a^{-7} -6 z^3 a^{-9} +3 a^2 z^2-9 z^2 a^{-2} +10 z^2 a^{-4} +12 z^2 a^{-6} -4 z^2-4 z a^{-3} -4 z a^{-5} -a^2+2 a^{-2} - a^{-6} +1 }[/math] |
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