K12n365
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+4 q^3-7 q^2+12 q-15+16 q^{-1} -16 q^{-2} +13 q^{-3} -9 q^{-4} +5 q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+23 t-27+23 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+z^4-3 z^2+1 }[/math] |
| Determinant | 99 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+a^2 z^4-z^4 a^{-2} +2 z^4-3 a^2 z^2-z^2 a^{-2} +z^2+2 a^4-3 a^2+ a^{-2} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+6 a^3 z^9+11 a z^9+5 z^9 a^{-1} +6 a^4 z^8+7 a^2 z^8+4 z^8 a^{-2} +5 z^8+2 a^5 z^7-16 a^3 z^7-35 a z^7-16 z^7 a^{-1} +z^7 a^{-3} -16 a^4 z^6-38 a^2 z^6-15 z^6 a^{-2} -37 z^6+2 a^5 z^5+21 a^3 z^5+34 a z^5+12 z^5 a^{-1} -3 z^5 a^{-3} +5 a^6 z^4+25 a^4 z^4+48 a^2 z^4+16 z^4 a^{-2} +44 z^4+a^7 z^3-a^5 z^3-18 a^3 z^3-21 a z^3-3 z^3 a^{-1} +2 z^3 a^{-3} -2 a^6 z^2-15 a^4 z^2-26 a^2 z^2-4 z^2 a^{-2} -17 z^2+a^5 z+7 a^3 z+8 a z+2 z a^{-1} +2 a^4+3 a^2- a^{-2} +1 }[/math] |
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