K13n3406
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Polynomial invariants
| Jones polynomial | Data:K13n3406/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-2 t^3-3 t^2+9 t-11+9 t^{-1} -3 t^{-2} -2 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3406/Conway Polynomial |
| Determinant | 23 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -29 z^6 a^{-8} +8 z^6 a^{-10} +21 z^4 a^{-6} -44 z^4 a^{-8} +19 z^4 a^{-10} -z^4 a^{-12} +22 z^2 a^{-6} -34 z^2 a^{-8} +16 z^2 a^{-10} -2 z^2 a^{-12} +8 a^{-6} -11 a^{-8} +4 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^{10} a^{-10} -8 z^9 a^{-7} -7 z^9 a^{-9} +z^9 a^{-11} -9 z^8 a^{-6} -27 z^8 a^{-8} -17 z^8 a^{-10} +z^8 a^{-12} +19 z^7 a^{-7} +10 z^7 a^{-9} -6 z^7 a^{-11} +3 z^7 a^{-13} +29 z^6 a^{-6} +81 z^6 a^{-8} +48 z^6 a^{-10} -z^6 a^{-12} +3 z^6 a^{-14} -11 z^5 a^{-7} +13 z^5 a^{-9} +13 z^5 a^{-11} -9 z^5 a^{-13} +2 z^5 a^{-15} -43 z^4 a^{-6} -101 z^4 a^{-8} -52 z^4 a^{-10} -z^4 a^{-12} -6 z^4 a^{-14} +z^4 a^{-16} -10 z^3 a^{-7} -30 z^3 a^{-9} -4 z^3 a^{-11} +13 z^3 a^{-13} -3 z^3 a^{-15} +30 z^2 a^{-6} +53 z^2 a^{-8} +22 z^2 a^{-10} +5 z^2 a^{-12} +4 z^2 a^{-14} -2 z^2 a^{-16} +9 z a^{-7} +11 z a^{-9} -3 z a^{-11} -5 z a^{-13} -8 a^{-6} -11 a^{-8} -4 a^{-10} }[/math] |
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