K13n3507
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Polynomial invariants
| Jones polynomial | Data:K13n3507/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+18 t-21+18 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3507/Conway Polynomial |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^4 a^{-2} -z^4 a^{-4} -3 z^4+2 a^2 z^2-7 z^2+3 a^2- a^{-2} +2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +4 z^8 a^{-2} +5 z^8 a^{-4} -z^8-a z^7-15 z^7 a^{-1} -12 z^7 a^{-3} +2 z^7 a^{-5} +3 a^2 z^6-16 z^6 a^{-2} -15 z^6 a^{-4} +2 z^6-3 a z^5+21 z^5 a^{-1} +25 z^5 a^{-3} +z^5 a^{-5} -11 a^2 z^4+19 z^4 a^{-2} +27 z^4 a^{-4} +5 z^4 a^{-6} -14 z^4+a z^3-27 z^3 a^{-1} -30 z^3 a^{-3} -z^3 a^{-5} +z^3 a^{-7} +12 a^2 z^2-14 z^2 a^{-2} -17 z^2 a^{-4} -2 z^2 a^{-6} +13 z^2+2 a z+12 z a^{-1} +13 z a^{-3} +3 z a^{-5} -3 a^2+ a^{-2} +2 a^{-4} -3 }[/math] |
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