K12n454
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{-1} -4 q^{-2} +6 q^{-3} -7 q^{-4} +8 q^{-5} -7 q^{-6} +6 q^{-7} -4 q^{-8} +2 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+11 t-15+11 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4+4 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-3 a^8+z^6 a^6+5 z^4 a^6+10 z^2 a^6+6 a^6-2 z^4 a^4-5 z^2 a^4-4 a^4+2 z^2 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-2 z a^{11}+2 z^8 a^{10}-9 z^6 a^{10}+11 z^4 a^{10}-3 z^2 a^{10}+2 z^9 a^9-8 z^7 a^9+9 z^5 a^9-5 z^3 a^9+2 z a^9+z^{10} a^8-3 z^8 a^8+5 z^6 a^8-13 z^4 a^8+11 z^2 a^8-3 a^8+3 z^9 a^7-12 z^7 a^7+20 z^5 a^7-21 z^3 a^7+6 z a^7+z^{10} a^6-5 z^8 a^6+18 z^6 a^6-34 z^4 a^6+24 z^2 a^6-6 a^6+z^9 a^5-3 z^7 a^5+7 z^5 a^5-7 z^3 a^5+2 z a^5+4 z^6 a^4-10 z^4 a^4+13 z^2 a^4-4 a^4+z^5 a^3+2 z^3 a^3+3 z^2 a^2-2 a^2 }[/math] |
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