K12n460
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+4 q^3-6 q^2+8 q-10+10 q^{-1} -9 q^{-2} +8 q^{-3} -4 q^{-4} +2 q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+15 t-19+15 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+1 }[/math] |
| Determinant | 63 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^6+2 z^2 a^4+2 a^4-2 z^4 a^2-3 z^2 a^2+z^6+3 z^4+2 z^2-1-z^4 a^{-2} -z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+3 a^3 z^9+8 a z^9+5 z^9 a^{-1} +a^4 z^8-5 a^2 z^8+4 z^8 a^{-2} -2 z^8-13 a^3 z^7-35 a z^7-21 z^7 a^{-1} +z^7 a^{-3} -a^4 z^6-2 a^2 z^6-16 z^6 a^{-2} -17 z^6+3 a^5 z^5+22 a^3 z^5+44 a z^5+22 z^5 a^{-1} -3 z^5 a^{-3} +2 a^6 z^4+a^4 z^4+7 a^2 z^4+14 z^4 a^{-2} +22 z^4+a^7 z^3-3 a^5 z^3-15 a^3 z^3-18 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -2 a^6 z^2-2 a^4 z^2-a^2 z^2-z^2 a^{-2} -2 z^2-a^7 z+2 a^3 z-z a^{-1} +a^6+2 a^4- a^{-2} -1 }[/math] |
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