K13n4166
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Polynomial invariants
| Jones polynomial | Data:K13n4166/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+25 t^2-37 t+41-37 t^{-1} +25 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4166/Conway Polynomial |
| Determinant | 189 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +3 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -2 z^4 a^{-2} +z^4 a^{-4} +11 z^4 a^{-6} -5 z^4 a^{-8} -z^2 a^{-4} +13 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-5} +4 z^{11} a^{-7} +10 z^{10} a^{-4} +20 z^{10} a^{-6} +10 z^{10} a^{-8} +10 z^9 a^{-3} +8 z^9 a^{-5} +6 z^9 a^{-7} +8 z^9 a^{-9} +5 z^8 a^{-2} -24 z^8 a^{-4} -66 z^8 a^{-6} -35 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-1} -28 z^7 a^{-3} -57 z^7 a^{-5} -56 z^7 a^{-7} -28 z^7 a^{-9} -13 z^6 a^{-2} +7 z^6 a^{-4} +75 z^6 a^{-6} +56 z^6 a^{-8} +z^6 a^{-10} -2 z^5 a^{-1} +18 z^5 a^{-3} +68 z^5 a^{-5} +98 z^5 a^{-7} +55 z^5 a^{-9} +5 z^5 a^{-11} +8 z^4 a^{-2} +z^4 a^{-4} -41 z^4 a^{-6} -35 z^4 a^{-8} +z^4 a^{-12} +z^3 a^{-1} -5 z^3 a^{-3} -36 z^3 a^{-5} -65 z^3 a^{-7} -42 z^3 a^{-9} -7 z^3 a^{-11} -z^2 a^{-2} +15 z^2 a^{-6} +15 z^2 a^{-8} -z^2 a^{-12} +2 z a^{-3} +8 z a^{-5} +17 z a^{-7} +13 z a^{-9} +2 z a^{-11} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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