K12n713
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-6 q^2+10 q-13+15 q^{-1} -14 q^{-2} +13 q^{-3} -9 q^{-4} +5 q^{-5} -2 q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-11 t^2+20 t-23+20 t^{-1} -11 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+7 z^4+3 z^2+1 }[/math] |
| Determinant | 91 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 a^2 z^6+z^6-2 a^4 z^4+8 a^2 z^4-z^4 a^{-2} +2 z^4-5 a^4 z^2+11 a^2 z^2-2 z^2 a^{-2} -z^2-3 a^4+6 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+4 a^3 z^9+8 a z^9+4 z^9 a^{-1} +4 a^4 z^8-a^2 z^8+3 z^8 a^{-2} -2 z^8+3 a^5 z^7-6 a^3 z^7-25 a z^7-15 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-a^4 z^6+4 a^2 z^6-12 z^6 a^{-2} -6 z^6+7 a^3 z^5+29 a z^5+18 z^5 a^{-1} -4 z^5 a^{-3} +4 a^6 z^4-8 a^4 z^4-24 a^2 z^4+14 z^4 a^{-2} +2 z^4+3 a^7 z^3+a^5 z^3-12 a^3 z^3-24 a z^3-10 z^3 a^{-1} +4 z^3 a^{-3} -2 a^6 z^2+11 a^4 z^2+21 a^2 z^2-4 z^2 a^{-2} +4 z^2-2 a^7 z+6 a^3 z+7 a z+3 z a^{-1} -3 a^4-6 a^2-2 }[/math] |
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