K12n360
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-5 q^5+7 q^4-8 q^3+8 q^2-7 q+6-3 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-12 t+19-12 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^4+1 }[/math] |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^4 a^{-2} +z^4 a^{-4} +4 z^2 a^{-2} -z^2 a^{-6} -3 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +4 z^9 a^{-3} +3 z^9 a^{-5} -3 z^8 a^{-2} +3 z^8 a^{-6} -3 z^7 a^{-1} -16 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} +5 z^6 a^{-2} -10 z^6 a^{-4} -13 z^6 a^{-6} +2 z^6+4 z^5 a^{-1} +21 z^5 a^{-3} +13 z^5 a^{-5} -4 z^5 a^{-7} -11 z^4 a^{-2} +9 z^4 a^{-4} +15 z^4 a^{-6} -5 z^4+2 a z^3-3 z^3 a^{-1} -16 z^3 a^{-3} -7 z^3 a^{-5} +4 z^3 a^{-7} +a^2 z^2+10 z^2 a^{-2} -z^2 a^{-4} -4 z^2 a^{-6} +8 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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