K12n272
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q-3+7 q^{-1} -10 q^{-2} +13 q^{-3} -14 q^{-4} +13 q^{-5} -10 q^{-6} +7 q^{-7} -4 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+20 t-27+20 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-z^4+z^2+1 }[/math] |
| Determinant | 83 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-3 z^2 a^6-a^6+z^6 a^4+3 z^4 a^4+5 z^2 a^4+2 a^4-2 z^4 a^2-3 z^2 a^2-a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-2 z^4 a^{10}+4 z^7 a^9-11 z^5 a^9+5 z^3 a^9+6 z^8 a^8-18 z^6 a^8+13 z^4 a^8-3 z^2 a^8+4 z^9 a^7-7 z^7 a^7-4 z^5 a^7+6 z^3 a^7-z a^7+z^{10} a^6+7 z^8 a^6-29 z^6 a^6+32 z^4 a^6-11 z^2 a^6+a^6+6 z^9 a^5-17 z^7 a^5+19 z^5 a^5-6 z^3 a^5+z^{10} a^4+2 z^8 a^4-11 z^6 a^4+22 z^4 a^4-13 z^2 a^4+2 a^4+2 z^9 a^3-6 z^7 a^3+15 z^5 a^3-11 z^3 a^3+2 z a^3+z^8 a^2-z^6 a^2+6 z^4 a^2-7 z^2 a^2+a^2+3 z^5 a-4 z^3 a+z a+z^4-2 z^2+1 }[/math] |
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