K12n621
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -1+5 q^{-1} -9 q^{-2} +13 q^{-3} -15 q^{-4} +16 q^{-5} -14 q^{-6} +11 q^{-7} -7 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+23 t-33+23 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-z^4+4 z^2+1 }[/math] |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+3 z^2 a^8+2 a^8-3 z^4 a^6-5 z^2 a^6-3 a^6+z^6 a^4+3 z^4 a^4+6 z^2 a^4+3 a^4-z^4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+12 z^4 a^{10}-5 z^2 a^{10}+a^{10}+4 z^9 a^9-12 z^7 a^9+7 z^5 a^9+z a^9+2 z^{10} a^8+2 z^8 a^8-24 z^6 a^8+27 z^4 a^8-11 z^2 a^8+2 a^8+10 z^9 a^7-32 z^7 a^7+32 z^5 a^7-19 z^3 a^7+5 z a^7+2 z^{10} a^6+5 z^8 a^6-29 z^6 a^6+34 z^4 a^6-18 z^2 a^6+3 a^6+6 z^9 a^5-17 z^7 a^5+23 z^5 a^5-16 z^3 a^5+3 z a^5+6 z^8 a^4-16 z^6 a^4+24 z^4 a^4-14 z^2 a^4+3 a^4+2 z^7 a^3+2 z^5 a^3-z^3 a^3+z a^3+5 z^4 a^2-2 z^2 a^2+z^3 a }[/math] |
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