K13n2361
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Polynomial invariants
| Jones polynomial | Data:K13n2361/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-12 t^2+17 t-19+17 t^{-1} -12 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2361/Conway Polynomial |
| Determinant | 95 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -5 z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} +z^6-7 z^4 a^{-2} -13 z^4 a^{-4} +6 z^4 a^{-6} +4 z^4-z^2 a^{-2} -13 z^2 a^{-4} +11 z^2 a^{-6} -z^2 a^{-8} +4 z^2+2 a^{-2} -6 a^{-4} +6 a^{-6} -2 a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +2 z^{10} a^{-6} +5 z^9 a^{-1} +2 z^9 a^{-3} -2 z^9 a^{-5} +z^9 a^{-7} -7 z^8 a^{-2} -23 z^8 a^{-4} -11 z^8 a^{-6} +5 z^8+3 a z^7-17 z^7 a^{-1} -17 z^7 a^{-3} -3 z^7 a^{-7} +a^2 z^6+z^6 a^{-2} +50 z^6 a^{-4} +34 z^6 a^{-6} +3 z^6 a^{-8} -17 z^6-9 a z^5+19 z^5 a^{-1} +33 z^5 a^{-3} +13 z^5 a^{-5} +9 z^5 a^{-7} +z^5 a^{-9} -3 a^2 z^4+8 z^4 a^{-2} -49 z^4 a^{-4} -46 z^4 a^{-6} -8 z^4 a^{-8} +16 z^4+4 a z^3-10 z^3 a^{-1} -19 z^3 a^{-3} -15 z^3 a^{-5} -13 z^3 a^{-7} -3 z^3 a^{-9} +a^2 z^2-z^2 a^{-2} +27 z^2 a^{-4} +26 z^2 a^{-6} +6 z^2 a^{-8} -7 z^2+2 z a^{-1} +4 z a^{-3} +4 z a^{-5} +4 z a^{-7} +2 z a^{-9} -2 a^{-2} -6 a^{-4} -6 a^{-6} -2 a^{-8} +1 }[/math] |
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