K13n1371
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Polynomial invariants
| Jones polynomial | Data:K13n1371/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+7 t^2-6 t+5-6 t^{-1} +7 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1371/Conway Polynomial |
| Determinant | 41 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -2 z^6 a^{-4} -a^2 z^4+12 z^4 a^{-2} -8 z^4 a^{-4} +z^4 a^{-6} -z^4-a^2 z^2+11 z^2 a^{-2} -8 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +5 z^{10} a^{-2} +9 z^{10} a^{-4} +5 z^{10} a^{-6} +z^{10}+3 a z^9+4 z^9 a^{-1} -4 z^9 a^{-3} -z^9 a^{-5} +4 z^9 a^{-7} +3 a^2 z^8-34 z^8 a^{-2} -50 z^8 a^{-4} -23 z^8 a^{-6} +z^8 a^{-8} -5 z^8+a^3 z^7-16 a z^7-33 z^7 a^{-1} -32 z^7 a^{-3} -35 z^7 a^{-5} -19 z^7 a^{-7} -14 a^2 z^6+59 z^6 a^{-2} +77 z^6 a^{-4} +26 z^6 a^{-6} -4 z^6 a^{-8} -2 z^6-4 a^3 z^5+19 a z^5+61 z^5 a^{-1} +80 z^5 a^{-3} +67 z^5 a^{-5} +25 z^5 a^{-7} +14 a^2 z^4-42 z^4 a^{-2} -48 z^4 a^{-4} -9 z^4 a^{-6} +4 z^4 a^{-8} +7 z^4+3 a^3 z^3-10 a z^3-42 z^3 a^{-1} -59 z^3 a^{-3} -41 z^3 a^{-5} -11 z^3 a^{-7} -4 a^2 z^2+17 z^2 a^{-2} +15 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +3 a z+10 z a^{-1} +14 z a^{-3} +8 z a^{-5} +z a^{-7} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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