K13n2728
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Polynomial invariants
| Jones polynomial | Data:K13n2728/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+6 t-9+6 t^{-1} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2728/Conway Polynomial |
| Determinant | 15 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6+16 z^4 a^{-2} -2 z^4 a^{-4} -z^4 a^{-6} -5 z^4+17 z^2 a^{-2} -5 z^2 a^{-4} -z^2 a^{-6} -7 z^2+8 a^{-2} -4 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+a z^9-4 z^9 a^{-1} -4 z^9 a^{-3} +z^9 a^{-5} -30 z^8 a^{-2} -14 z^8 a^{-4} +2 z^8 a^{-6} -14 z^8-7 a z^7-8 z^7 a^{-1} -10 z^7 a^{-3} -5 z^7 a^{-5} +4 z^7 a^{-7} +67 z^6 a^{-2} +27 z^6 a^{-4} -6 z^6 a^{-6} +3 z^6 a^{-8} +31 z^6+16 a z^5+41 z^5 a^{-1} +45 z^5 a^{-3} +7 z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} -58 z^4 a^{-2} -18 z^4 a^{-4} +4 z^4 a^{-6} -7 z^4 a^{-8} -29 z^4-15 a z^3-43 z^3 a^{-1} -41 z^3 a^{-3} -4 z^3 a^{-5} +7 z^3 a^{-7} -2 z^3 a^{-9} +26 z^2 a^{-2} +10 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +13 z^2+5 a z+13 z a^{-1} +13 z a^{-3} +3 z a^{-5} -2 z a^{-7} -8 a^{-2} -4 a^{-4} -3 }[/math] |
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