K13n1315
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Polynomial invariants
| Jones polynomial | Data:K13n1315/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+19 t^2-40 t+51-40 t^{-1} +19 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1315/Conway Polynomial |
| Determinant | 177 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-6} -2 z^6 a^{-8} +3 z^4 a^{-4} -5 z^4 a^{-6} -6 z^4 a^{-8} +3 z^4 a^{-10} +7 z^2 a^{-4} -4 z^2 a^{-6} -9 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} - a^{-6} -6 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +5 z^{10} a^{-8} +9 z^{10} a^{-10} +4 z^{10} a^{-12} +8 z^9 a^{-7} +18 z^9 a^{-9} +16 z^9 a^{-11} +6 z^9 a^{-13} +7 z^8 a^{-6} +2 z^8 a^{-8} -8 z^8 a^{-10} +z^8 a^{-12} +4 z^8 a^{-14} +3 z^7 a^{-5} -11 z^7 a^{-7} -53 z^7 a^{-9} -58 z^7 a^{-11} -18 z^7 a^{-13} +z^7 a^{-15} -10 z^6 a^{-6} -12 z^6 a^{-8} -22 z^6 a^{-10} -34 z^6 a^{-12} -14 z^6 a^{-14} +11 z^5 a^{-7} +66 z^5 a^{-9} +74 z^5 a^{-11} +16 z^5 a^{-13} -3 z^5 a^{-15} +6 z^4 a^{-4} +13 z^4 a^{-6} +z^4 a^{-8} +26 z^4 a^{-10} +47 z^4 a^{-12} +15 z^4 a^{-14} +2 z^3 a^{-5} -6 z^3 a^{-7} -53 z^3 a^{-9} -54 z^3 a^{-11} -7 z^3 a^{-13} +2 z^3 a^{-15} -10 z^2 a^{-4} -7 z^2 a^{-6} +12 z^2 a^{-8} -5 z^2 a^{-10} -19 z^2 a^{-12} -5 z^2 a^{-14} -4 z a^{-5} +2 z a^{-7} +20 z a^{-9} +18 z a^{-11} +4 z a^{-13} +4 a^{-4} + a^{-6} -6 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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