K13n3765
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Polynomial invariants
| Jones polynomial | Data:K13n3765/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-4 t+7-4 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n3765/Conway Polynomial |
| Determinant | 17 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-z^6 a^{-2} -a^4 z^4+5 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} -3 a^4 z^2+8 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2-2 a^4+5 a^2- a^{-2} + a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+4 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+a^5 z^9-4 a^3 z^9-3 a z^9+5 z^9 a^{-1} +3 z^9 a^{-3} -14 a^4 z^8-29 a^2 z^8-z^8 a^{-2} +4 z^8 a^{-4} -20 z^8-7 a^5 z^7-6 a^3 z^7-17 a z^7-33 z^7 a^{-1} -12 z^7 a^{-3} +3 z^7 a^{-5} +32 a^4 z^6+63 a^2 z^6-16 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} +31 z^6+16 a^5 z^5+33 a^3 z^5+55 a z^5+58 z^5 a^{-1} +10 z^5 a^{-3} -10 z^5 a^{-5} -31 a^4 z^4-57 a^2 z^4+30 z^4 a^{-2} +12 z^4 a^{-4} -3 z^4 a^{-6} -11 z^4-14 a^5 z^3-35 a^3 z^3-45 a z^3-33 z^3 a^{-1} -4 z^3 a^{-3} +5 z^3 a^{-5} +13 a^4 z^2+24 a^2 z^2-14 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} +4 z^2+4 a^5 z+10 a^3 z+11 a z+7 z a^{-1} +z a^{-3} -z a^{-5} -2 a^4-5 a^2+ a^{-2} + a^{-4} -2 }[/math] |
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