K13n1703
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Polynomial invariants
| Jones polynomial | Data:K13n1703/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-3 t^3+t^2+3 t-5+3 t^{-1} + t^{-2} -3 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n1703/Conway Polynomial |
| Determinant | 5 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -30 z^6 a^{-8} +8 z^6 a^{-10} +22 z^4 a^{-6} -48 z^4 a^{-8} +20 z^4 a^{-10} -z^4 a^{-12} +24 z^2 a^{-6} -38 z^2 a^{-8} +19 z^2 a^{-10} -2 z^2 a^{-12} +8 a^{-6} -12 a^{-8} +6 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} -7 z^9 a^{-7} -4 z^9 a^{-9} +3 z^9 a^{-11} -9 z^8 a^{-6} -32 z^8 a^{-8} -22 z^8 a^{-10} +z^8 a^{-12} +14 z^7 a^{-7} -8 z^7 a^{-9} -22 z^7 a^{-11} +30 z^6 a^{-6} +88 z^6 a^{-8} +49 z^6 a^{-10} -8 z^6 a^{-12} +z^6 a^{-14} -3 z^5 a^{-7} +43 z^5 a^{-9} +44 z^5 a^{-11} +2 z^5 a^{-15} -46 z^4 a^{-6} -105 z^4 a^{-8} -44 z^4 a^{-10} +12 z^4 a^{-12} -2 z^4 a^{-14} +z^4 a^{-16} -14 z^3 a^{-7} -45 z^3 a^{-9} -28 z^3 a^{-11} -2 z^3 a^{-13} -5 z^3 a^{-15} +32 z^2 a^{-6} +56 z^2 a^{-8} +22 z^2 a^{-10} -z^2 a^{-12} -z^2 a^{-14} -2 z^2 a^{-16} +8 z a^{-7} +13 z a^{-9} +6 z a^{-11} +2 z a^{-13} +z a^{-15} -8 a^{-6} -12 a^{-8} -6 a^{-10} - a^{-12} }[/math] |
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