K12n146
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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{ -2 t^2+12 t-19+12 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^4+4 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+2 z^2 a^8+a^8-z^4 a^6-z^4 a^4+2 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-9 z^6 a^{10}+11 z^4 a^{10}-5 z^2 a^{10}+a^{10}+2 z^9 a^9-7 z^7 a^9+3 z^5 a^9+3 z^3 a^9-z a^9+z^{10} a^8-z^8 a^8-8 z^6 a^8+11 z^4 a^8-5 z^2 a^8+a^8+4 z^9 a^7-17 z^7 a^7+23 z^5 a^7-15 z^3 a^7+3 z a^7+z^{10} a^6-2 z^8 a^6-2 z^6 a^6+5 z^4 a^6-3 z^2 a^6+2 z^9 a^5-9 z^7 a^5+16 z^5 a^5-10 z^3 a^5+z a^5+z^8 a^4-3 z^6 a^4+5 z^4 a^4-z^2 a^4+z^5 a^3+z^3 a^3+2 z^2 a^2-a^2 }[/math] |
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