K13n224
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Polynomial invariants
| Jones polynomial | Data:K13n224/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-9 t^3+13 t^2-11 t+9-11 t^{-1} +13 t^{-2} -9 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n224/Conway Polynomial |
| Determinant | 81 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +2 z^8 a^{-10} +6 z^6 a^{-8} +12 z^6 a^{-10} -3 z^6 a^{-12} +12 z^4 a^{-8} +23 z^4 a^{-10} -17 z^4 a^{-12} +z^4 a^{-14} +10 z^2 a^{-8} +18 z^2 a^{-10} -27 z^2 a^{-12} +7 z^2 a^{-14} +3 a^{-8} +5 a^{-10} -13 a^{-12} +7 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +7 z^{10} a^{-12} +4 z^{10} a^{-14} +2 z^9 a^{-9} +4 z^9 a^{-11} +7 z^9 a^{-13} +5 z^9 a^{-15} +z^8 a^{-8} -14 z^8 a^{-10} -32 z^8 a^{-12} -15 z^8 a^{-14} +2 z^8 a^{-16} -9 z^7 a^{-9} -38 z^7 a^{-11} -54 z^7 a^{-13} -25 z^7 a^{-15} -6 z^6 a^{-8} +21 z^6 a^{-10} +48 z^6 a^{-12} +13 z^6 a^{-14} -8 z^6 a^{-16} +10 z^5 a^{-9} +70 z^5 a^{-11} +106 z^5 a^{-13} +47 z^5 a^{-15} +z^5 a^{-17} +12 z^4 a^{-8} -20 z^4 a^{-10} -47 z^4 a^{-12} -2 z^4 a^{-14} +13 z^4 a^{-16} -z^3 a^{-9} -54 z^3 a^{-11} -94 z^3 a^{-13} -41 z^3 a^{-15} -10 z^2 a^{-8} +15 z^2 a^{-10} +36 z^2 a^{-12} +5 z^2 a^{-14} -5 z^2 a^{-16} +z^2 a^{-18} -2 z a^{-9} +17 z a^{-11} +33 z a^{-13} +15 z a^{-15} +z a^{-17} +3 a^{-8} -5 a^{-10} -13 a^{-12} -7 a^{-14} - a^{-16} }[/math] |
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