K12n830
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-2 q^{11}+2 q^{10}-3 q^9+3 q^8-3 q^7+2 q^6-q^5+q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-4 t+5-4 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+4 z^2+1 }[/math] |
| Determinant | 17 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^6 a^{-8} +7 z^4 a^{-6} -6 z^4 a^{-8} +z^4 a^{-10} +13 z^2 a^{-6} -12 z^2 a^{-8} +3 z^2 a^{-10} +6 a^{-6} -7 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ -z^8 a^{-8} +z^8 a^{-12} -z^7 a^{-7} -z^7 a^{-9} +2 z^7 a^{-11} +2 z^7 a^{-13} +z^6 a^{-6} +7 z^6 a^{-8} +2 z^6 a^{-10} -3 z^6 a^{-12} +z^6 a^{-14} +6 z^5 a^{-7} +8 z^5 a^{-9} -7 z^5 a^{-11} -9 z^5 a^{-13} -7 z^4 a^{-6} -16 z^4 a^{-8} -5 z^4 a^{-10} -4 z^4 a^{-14} -10 z^3 a^{-7} -14 z^3 a^{-9} +6 z^3 a^{-11} +10 z^3 a^{-13} +14 z^2 a^{-6} +18 z^2 a^{-8} +3 z^2 a^{-10} +2 z^2 a^{-12} +3 z^2 a^{-14} +6 z a^{-7} +6 z a^{-9} -2 z a^{-11} -2 z a^{-13} -6 a^{-6} -7 a^{-8} -2 a^{-10} }[/math] |
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