K13n3575
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Polynomial invariants
| Jones polynomial | Data:K13n3575/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+13 t^2-27 t+35-27 t^{-1} +13 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3575/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6+2 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -7 z^4+4 a^2 z^2+2 z^2 a^{-2} +z^2 a^{-4} -9 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+4 z^{10} a^{-2} +5 z^{10}-2 a z^9+5 z^9 a^{-1} +7 z^9 a^{-3} -4 a^2 z^8-5 z^8 a^{-2} +7 z^8 a^{-4} -16 z^8+a^3 z^7+5 a z^7-15 z^7 a^{-1} -15 z^7 a^{-3} +4 z^7 a^{-5} +16 a^2 z^6+2 z^6 a^{-2} -16 z^6 a^{-4} +z^6 a^{-6} +35 z^6+4 a^3 z^5+6 a z^5+19 z^5 a^{-1} +8 z^5 a^{-3} -9 z^5 a^{-5} +2 a^4 z^4-17 a^2 z^4-8 z^4 a^{-2} +7 z^4 a^{-4} -2 z^4 a^{-6} -36 z^4-7 a^3 z^3-11 a z^3-13 z^3 a^{-1} -5 z^3 a^{-3} +4 z^3 a^{-5} -2 a^4 z^2+8 a^2 z^2+7 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +19 z^2+2 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} -2 a^2-2 a^{-2} -3 }[/math] |
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