K13n1098
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Polynomial invariants
| Jones polynomial | Data:K13n1098/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+30 t-39+30 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1098/Conway Polynomial |
| Determinant | 131 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +2 z^6 a^{-6} -z^4 a^{-2} +2 z^4 a^{-4} +7 z^4 a^{-6} -3 z^4 a^{-8} -z^2 a^{-2} +2 z^2 a^{-4} +10 z^2 a^{-6} -7 z^2 a^{-8} +z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +7 z^{10} a^{-6} +12 z^{10} a^{-8} +5 z^{10} a^{-10} +8 z^9 a^{-5} +10 z^9 a^{-7} +6 z^9 a^{-9} +4 z^9 a^{-11} +4 z^8 a^{-4} -21 z^8 a^{-6} -44 z^8 a^{-8} -18 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-3} -27 z^7 a^{-5} -64 z^7 a^{-7} -54 z^7 a^{-9} -18 z^7 a^{-11} -6 z^6 a^{-4} +20 z^6 a^{-6} +43 z^6 a^{-8} +13 z^6 a^{-10} -4 z^6 a^{-12} +4 z^5 a^{-3} +39 z^5 a^{-5} +95 z^5 a^{-7} +86 z^5 a^{-9} +26 z^5 a^{-11} +4 z^4 a^{-2} +5 z^4 a^{-4} -18 z^4 a^{-6} -20 z^4 a^{-8} +4 z^4 a^{-10} +5 z^4 a^{-12} +z^3 a^{-1} -4 z^3 a^{-3} -30 z^3 a^{-5} -63 z^3 a^{-7} -52 z^3 a^{-9} -14 z^3 a^{-11} -2 z^2 a^{-2} -2 z^2 a^{-4} +14 z^2 a^{-6} +14 z^2 a^{-8} -2 z^2 a^{-10} -2 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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