K13n2490
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Polynomial invariants
| Jones polynomial | Data:K13n2490/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-7 t^3+6 t^2-3+6 t^{-2} -7 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n2490/Conway Polynomial |
| Determinant | 33 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +6 z^6 a^{-2} -23 z^6 a^{-4} +7 z^6 a^{-6} +11 z^4 a^{-2} -31 z^4 a^{-4} +15 z^4 a^{-6} -z^4 a^{-8} +9 z^2 a^{-2} -20 z^2 a^{-4} +13 z^2 a^{-6} -2 z^2 a^{-8} +4 a^{-2} -6 a^{-4} +4 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} -8 z^9 a^{-3} -10 z^9 a^{-5} +z^9 a^{-7} -23 z^8 a^{-2} -45 z^8 a^{-4} -21 z^8 a^{-6} +z^8-16 z^7 a^{-1} -2 z^7 a^{-3} +7 z^7 a^{-5} -7 z^7 a^{-7} +38 z^6 a^{-2} +90 z^6 a^{-4} +47 z^6 a^{-6} -5 z^6+22 z^5 a^{-1} +22 z^5 a^{-3} +13 z^5 a^{-5} +13 z^5 a^{-7} -26 z^4 a^{-2} -78 z^4 a^{-4} -49 z^4 a^{-6} -3 z^4 a^{-8} +6 z^4-9 z^3 a^{-1} -15 z^3 a^{-3} -18 z^3 a^{-5} -13 z^3 a^{-7} -z^3 a^{-9} +12 z^2 a^{-2} +33 z^2 a^{-4} +22 z^2 a^{-6} +3 z^2 a^{-8} -2 z^2+z a^{-1} +4 z a^{-3} +6 z a^{-5} +4 z a^{-7} +z a^{-9} -4 a^{-2} -6 a^{-4} -4 a^{-6} - a^{-8} }[/math] |
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