K13a1233
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Polynomial invariants
| Jones polynomial | Data:K13a1233/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -6 t^3+24 t^2-44 t+53-44 t^{-1} +24 t^{-2} -6 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1233/Conway Polynomial |
| Determinant | 201 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^6 a^{-4} -2 z^6 a^{-6} -2 z^4 a^{-2} -10 z^4 a^{-4} -4 z^4 a^{-6} +3 z^4 a^{-8} +z^4-10 z^2 a^{-4} +6 z^2 a^{-8} -z^2 a^{-10} +3 z^2-3 a^{-4} + a^{-6} +2 a^{-8} - a^{-10} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-4} +z^{12} a^{-6} +3 z^{11} a^{-3} +7 z^{11} a^{-5} +4 z^{11} a^{-7} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +10 z^{10} a^{-6} +8 z^{10} a^{-8} +2 z^9 a^{-1} -11 z^9 a^{-3} -22 z^9 a^{-5} +2 z^9 a^{-7} +11 z^9 a^{-9} -12 z^8 a^{-2} -32 z^8 a^{-4} -39 z^8 a^{-6} -9 z^8 a^{-8} +11 z^8 a^{-10} +z^8-9 z^7 a^{-1} +18 z^7 a^{-3} +31 z^7 a^{-5} -21 z^7 a^{-7} -17 z^7 a^{-9} +8 z^7 a^{-11} +14 z^6 a^{-2} +63 z^6 a^{-4} +59 z^6 a^{-6} -5 z^6 a^{-8} -17 z^6 a^{-10} +4 z^6 a^{-12} -6 z^6+11 z^5 a^{-1} -27 z^5 a^{-3} -31 z^5 a^{-5} +26 z^5 a^{-7} +7 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} -6 z^4 a^{-2} -67 z^4 a^{-4} -47 z^4 a^{-6} +16 z^4 a^{-8} +9 z^4 a^{-10} -5 z^4 a^{-12} +12 z^4-2 z^3 a^{-1} +23 z^3 a^{-3} +15 z^3 a^{-5} -11 z^3 a^{-7} +4 z^3 a^{-9} +4 z^3 a^{-11} -z^3 a^{-13} +2 z^2 a^{-2} +30 z^2 a^{-4} +13 z^2 a^{-6} -9 z^2 a^{-8} -2 z^2 a^{-10} +z^2 a^{-12} -9 z^2-z a^{-1} -5 z a^{-3} -4 z a^{-5} -z a^{-9} -z a^{-11} -3 a^{-4} - a^{-6} +2 a^{-8} + a^{-10} +2 }[/math] |
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