K13n3375
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Polynomial invariants
| Jones polynomial | Data:K13n3375/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+16 t^2-12 t+7-12 t^{-1} +16 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3375/Conway Polynomial |
| Determinant | 85 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-2} +3 z^4 a^{-4} +7 z^4 a^{-6} -5 z^4 a^{-8} +z^2 a^{-4} +5 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} + a^{-2} + a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +8 z^{10} a^{-6} +3 z^{10} a^{-8} +6 z^9 a^{-3} -2 z^9 a^{-5} -7 z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-2} -18 z^8 a^{-4} -40 z^8 a^{-6} -18 z^8 a^{-8} +z^7 a^{-1} -23 z^7 a^{-3} -18 z^7 a^{-5} -6 z^7 a^{-9} -15 z^6 a^{-2} +13 z^6 a^{-4} +67 z^6 a^{-6} +39 z^6 a^{-8} -3 z^5 a^{-1} +20 z^5 a^{-3} +32 z^5 a^{-5} +23 z^5 a^{-7} +14 z^5 a^{-9} +12 z^4 a^{-2} -2 z^4 a^{-4} -46 z^4 a^{-6} -32 z^4 a^{-8} +z^3 a^{-1} -5 z^3 a^{-3} -18 z^3 a^{-5} -23 z^3 a^{-7} -11 z^3 a^{-9} -z^2 a^{-2} +z^2 a^{-4} +12 z^2 a^{-6} +11 z^2 a^{-8} +z^2 a^{-10} +z a^{-3} +3 z a^{-5} +6 z a^{-7} +4 z a^{-9} - a^{-2} - a^{-6} - a^{-8} }[/math] |
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