K13n1365
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Polynomial invariants
| Jones polynomial | Data:K13n1365/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+24 t^2-42 t+51-42 t^{-1} +24 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1365/Conway Polynomial |
| Determinant | 201 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -4 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +3 z^4 a^{-2} -17 z^4 a^{-4} +13 z^4 a^{-6} -3 z^4 a^{-8} +9 z^2 a^{-2} -25 z^2 a^{-4} +18 z^2 a^{-6} -4 z^2 a^{-8} +7 a^{-2} -13 a^{-4} +9 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +13 z^{10} a^{-6} +8 z^{10} a^{-8} +3 z^9 a^{-3} +9 z^9 a^{-5} +20 z^9 a^{-7} +14 z^9 a^{-9} -15 z^8 a^{-4} -27 z^8 a^{-6} +2 z^8 a^{-8} +14 z^8 a^{-10} -6 z^7 a^{-3} -38 z^7 a^{-5} -63 z^7 a^{-7} -22 z^7 a^{-9} +9 z^7 a^{-11} +6 z^6 a^{-2} +34 z^6 a^{-4} +24 z^6 a^{-6} -31 z^6 a^{-8} -23 z^6 a^{-10} +4 z^6 a^{-12} +5 z^5 a^{-3} +57 z^5 a^{-5} +80 z^5 a^{-7} +16 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} -20 z^4 a^{-2} -60 z^4 a^{-4} -27 z^4 a^{-6} +35 z^4 a^{-8} +18 z^4 a^{-10} -4 z^4 a^{-12} -8 z^3 a^{-3} -53 z^3 a^{-5} -61 z^3 a^{-7} -10 z^3 a^{-9} +5 z^3 a^{-11} -z^3 a^{-13} +21 z^2 a^{-2} +48 z^2 a^{-4} +22 z^2 a^{-6} -12 z^2 a^{-8} -6 z^2 a^{-10} +z^2 a^{-12} +6 z a^{-3} +20 z a^{-5} +20 z a^{-7} +6 z a^{-9} -7 a^{-2} -13 a^{-4} -9 a^{-6} -2 a^{-8} }[/math] |
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