K13n1337
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Polynomial invariants
| Jones polynomial | Data:K13n1337/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+12 t-15+12 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1337/Conway Polynomial |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +3 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} -2 z^4+a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} -4 z^2+a^2+3 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^{10} a^{-8} +z^9 a^{-1} -8 z^9 a^{-5} -6 z^9 a^{-7} +z^9 a^{-9} +5 z^8 a^{-2} -9 z^8 a^{-4} -26 z^8 a^{-6} -15 z^8 a^{-8} +3 z^8+3 a z^7+7 z^7 a^{-1} +9 z^7 a^{-3} +16 z^7 a^{-5} +4 z^7 a^{-7} -7 z^7 a^{-9} +a^2 z^6-4 z^6 a^{-2} +32 z^6 a^{-4} +66 z^6 a^{-6} +35 z^6 a^{-8} -4 z^6-9 a z^5-25 z^5 a^{-1} -19 z^5 a^{-3} -2 z^5 a^{-5} +16 z^5 a^{-7} +15 z^5 a^{-9} -3 a^2 z^4-14 z^4 a^{-2} -37 z^4 a^{-4} -59 z^4 a^{-6} -32 z^4 a^{-8} -7 z^4+8 a z^3+18 z^3 a^{-1} +11 z^3 a^{-3} -5 z^3 a^{-5} -18 z^3 a^{-7} -12 z^3 a^{-9} +3 a^2 z^2+12 z^2 a^{-2} +16 z^2 a^{-4} +21 z^2 a^{-6} +11 z^2 a^{-8} +9 z^2-2 a z-4 z a^{-1} -2 z a^{-3} +2 z a^{-5} +5 z a^{-7} +3 z a^{-9} -a^2-3 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} -2 }[/math] |
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