K13n2362
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Polynomial invariants
| Jones polynomial | Data:K13n2362/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-17 t+21-17 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2362/Conway Polynomial |
| Determinant | 73 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-8} +z^4 a^{-4} +3 z^4 a^{-6} -4 z^4 a^{-8} +2 z^4 a^{-10} +2 z^2 a^{-4} +8 z^2 a^{-6} -8 z^2 a^{-8} +5 z^2 a^{-10} -z^2 a^{-12} +5 a^{-6} -6 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +5 z^{10} a^{-10} +3 z^{10} a^{-12} +z^9 a^{-7} -2 z^9 a^{-9} +z^9 a^{-11} +4 z^9 a^{-13} -11 z^8 a^{-8} -26 z^8 a^{-10} -12 z^8 a^{-12} +3 z^8 a^{-14} -3 z^7 a^{-7} -5 z^7 a^{-9} -21 z^7 a^{-11} -18 z^7 a^{-13} +z^7 a^{-15} +4 z^6 a^{-6} +29 z^6 a^{-8} +51 z^6 a^{-10} +13 z^6 a^{-12} -13 z^6 a^{-14} +2 z^5 a^{-5} +7 z^5 a^{-7} +21 z^5 a^{-9} +43 z^5 a^{-11} +23 z^5 a^{-13} -4 z^5 a^{-15} +z^4 a^{-4} -11 z^4 a^{-6} -36 z^4 a^{-8} -45 z^4 a^{-10} -8 z^4 a^{-12} +13 z^4 a^{-14} -3 z^3 a^{-5} -6 z^3 a^{-7} -20 z^3 a^{-9} -33 z^3 a^{-11} -13 z^3 a^{-13} +3 z^3 a^{-15} -2 z^2 a^{-4} +13 z^2 a^{-6} +25 z^2 a^{-8} +16 z^2 a^{-10} +4 z^2 a^{-12} -2 z^2 a^{-14} +4 z a^{-7} +6 z a^{-9} +6 z a^{-11} +4 z a^{-13} -5 a^{-6} -6 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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