K12n105
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{15}-2 q^{14}+3 q^{13}-5 q^{12}+5 q^{11}-6 q^{10}+5 q^9-3 q^8+2 q^7+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^2+8 t-9+8 t^{-1} -4 t^{-2} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+8 z^6+16 z^4+8 z^2+1 }[/math] |
| Determinant | 31 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +8 z^6 a^{-8} +20 z^4 a^{-8} -2 z^4 a^{-10} -2 z^4 a^{-12} +18 z^2 a^{-8} -5 z^2 a^{-10} -6 z^2 a^{-12} +z^2 a^{-14} +5 a^{-8} -2 a^{-10} -4 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-12} +z^{10} a^{-14} +z^9 a^{-11} +3 z^9 a^{-13} +2 z^9 a^{-15} +z^8 a^{-8} -7 z^8 a^{-12} -4 z^8 a^{-14} +2 z^8 a^{-16} -8 z^7 a^{-11} -19 z^7 a^{-13} -9 z^7 a^{-15} +2 z^7 a^{-17} -8 z^6 a^{-8} -2 z^6 a^{-10} +18 z^6 a^{-12} +4 z^6 a^{-14} -7 z^6 a^{-16} +z^6 a^{-18} -2 z^5 a^{-9} +21 z^5 a^{-11} +44 z^5 a^{-13} +13 z^5 a^{-15} -8 z^5 a^{-17} +20 z^4 a^{-8} +8 z^4 a^{-10} -20 z^4 a^{-12} +4 z^4 a^{-16} -4 z^4 a^{-18} +6 z^3 a^{-9} -19 z^3 a^{-11} -41 z^3 a^{-13} -9 z^3 a^{-15} +7 z^3 a^{-17} -18 z^2 a^{-8} -8 z^2 a^{-10} +14 z^2 a^{-12} +z^2 a^{-14} +3 z^2 a^{-18} -4 z a^{-9} +6 z a^{-11} +14 z a^{-13} +2 z a^{-15} -2 z a^{-17} +5 a^{-8} +2 a^{-10} -4 a^{-12} -2 a^{-14} }[/math] |
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