K12n337
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-3 q^2+7 q-11+15 q^{-1} -17 q^{-2} +17 q^{-3} -14 q^{-4} +10 q^{-5} -6 q^{-6} +2 q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+25 t-33+25 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-3 z^4-2 z^2+1 }[/math] |
| Determinant | 103 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^2 a^6+a^6-3 z^4 a^4-5 z^2 a^4-2 a^4+z^6 a^2+2 z^4 a^2+3 z^2 a^2+2 a^2-2 z^4-3 z^2-1+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+6 a^3 z^9+3 a z^9+3 a^6 z^8+6 a^4 z^8+7 a^2 z^8+4 z^8+a^7 z^7-2 a^5 z^7-6 a^3 z^7+3 z^7 a^{-1} -a^6 z^6-8 a^4 z^6-15 a^2 z^6+z^6 a^{-2} -7 z^6+5 a^7 z^5+6 a^5 z^5-2 a^3 z^5-11 a z^5-8 z^5 a^{-1} +3 a^8 z^4-2 a^4 z^4+3 a^2 z^4-3 z^4 a^{-2} -z^4-8 a^7 z^3-8 a^5 z^3+a^3 z^3+7 a z^3+6 z^3 a^{-1} -3 a^8 z^2+a^6 z^2+7 a^4 z^2+4 a^2 z^2+3 z^2 a^{-2} +4 z^2+2 a^7 z+3 a^5 z+a^3 z-a z-z a^{-1} -a^6-2 a^4-2 a^2- a^{-2} -1 }[/math] |
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