K12n766
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-5 q^9+9 q^8-13 q^7+16 q^6-16 q^5+15 q^4-11 q^3+7 q^2-3 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+13 t^2-21 t+23-21 t^{-1} +13 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-5 z^4+4 z^2+1 }[/math] |
| Determinant | 97 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -7 z^4 a^{-6} +2 z^4 a^{-8} +2 z^2 a^{-2} +4 z^2 a^{-4} -7 z^2 a^{-6} +5 z^2 a^{-8} +3 a^{-4} -3 a^{-6} +2 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-6} +2 z^{10} a^{-8} +5 z^9 a^{-5} +9 z^9 a^{-7} +4 z^9 a^{-9} +5 z^8 a^{-4} +3 z^8 a^{-6} +2 z^8 a^{-10} +3 z^7 a^{-3} -13 z^7 a^{-5} -28 z^7 a^{-7} -12 z^7 a^{-9} +z^6 a^{-2} -14 z^6 a^{-4} -22 z^6 a^{-6} -8 z^6 a^{-8} -z^6 a^{-10} -8 z^5 a^{-3} +12 z^5 a^{-5} +38 z^5 a^{-7} +23 z^5 a^{-9} +5 z^5 a^{-11} -3 z^4 a^{-2} +13 z^4 a^{-4} +32 z^4 a^{-6} +18 z^4 a^{-8} +3 z^4 a^{-10} +z^4 a^{-12} +4 z^3 a^{-3} -8 z^3 a^{-5} -22 z^3 a^{-7} -15 z^3 a^{-9} -5 z^3 a^{-11} +2 z^2 a^{-2} -10 z^2 a^{-4} -19 z^2 a^{-6} -10 z^2 a^{-8} -4 z^2 a^{-10} -z^2 a^{-12} +z a^{-5} +5 z a^{-7} +3 z a^{-9} -z a^{-11} +3 a^{-4} +3 a^{-6} +2 a^{-8} + a^{-10} }[/math] |
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