K13n1269
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Polynomial invariants
| Jones polynomial | Data:K13n1269/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+3- t^{-2} }[/math] |
| Conway polynomial | Data:K13n1269/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-2} +z^4 a^{-6} -z^4+a^2 z^2-3 z^2 a^{-2} -z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} -3 z^2+2 a^2- a^{-2} - a^{-4} +3 a^{-6} - a^{-8} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^{10} a^{-8} +z^9 a^{-1} -8 z^9 a^{-5} -6 z^9 a^{-7} +z^9 a^{-9} +z^8 a^{-2} -9 z^8 a^{-4} -24 z^8 a^{-6} -15 z^8 a^{-8} +z^8+a z^7-6 z^7 a^{-1} -z^7 a^{-3} +21 z^7 a^{-5} +8 z^7 a^{-7} -7 z^7 a^{-9} +a^2 z^6-7 z^6 a^{-2} +25 z^6 a^{-4} +64 z^6 a^{-6} +37 z^6 a^{-8} -4 z^6-4 a z^5+12 z^5 a^{-1} +2 z^5 a^{-3} -26 z^5 a^{-5} +3 z^5 a^{-7} +15 z^5 a^{-9} -5 a^2 z^4+14 z^4 a^{-2} -29 z^4 a^{-4} -72 z^4 a^{-6} -36 z^4 a^{-8} +2 z^4+2 a z^3-12 z^3 a^{-1} -z^3 a^{-3} +18 z^3 a^{-5} -5 z^3 a^{-7} -10 z^3 a^{-9} +6 a^2 z^2-10 z^2 a^{-2} +13 z^2 a^{-4} +33 z^2 a^{-6} +14 z^2 a^{-8} +2 z^2+a z+5 z a^{-1} -6 z a^{-5} -z a^{-7} +z a^{-9} -2 a^2+ a^{-2} - a^{-4} -3 a^{-6} - a^{-8} -1 }[/math] |
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