K12n348
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q-3+7 q^{-1} -10 q^{-2} +13 q^{-3} -13 q^{-4} +12 q^{-5} -10 q^{-6} +6 q^{-7} -3 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+19 t-25+19 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-z^4+1 }[/math] |
| Determinant | 79 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-4 z^2 a^6-3 a^6+z^6 a^4+3 z^4 a^4+5 z^2 a^4+3 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}-3 z^4 a^{10}+2 z^2 a^{10}+3 z^7 a^9-9 z^5 a^9+7 z^3 a^9-2 z a^9+4 z^8 a^8-10 z^6 a^8+5 z^4 a^8-2 z^2 a^8+a^8+3 z^9 a^7-4 z^7 a^7-5 z^5 a^7+6 z^3 a^7-3 z a^7+z^{10} a^6+4 z^8 a^6-16 z^6 a^6+18 z^4 a^6-11 z^2 a^6+3 a^6+5 z^9 a^5-13 z^7 a^5+16 z^5 a^5-8 z^3 a^5+z a^5+z^{10} a^4+z^8 a^4-6 z^6 a^4+15 z^4 a^4-11 z^2 a^4+3 a^4+2 z^9 a^3-6 z^7 a^3+15 z^5 a^3-11 z^3 a^3+3 z a^3+z^8 a^2-z^6 a^2+6 z^4 a^2-6 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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