K12n74
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{14}-3 q^{13}+5 q^{12}-7 q^{11}+7 q^{10}-8 q^9+7 q^8-5 q^7+4 q^6-q^5+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-5 t^3+7 t^2-7 t+7-7 t^{-1} +7 t^{-2} -5 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^8+11 z^6+17 z^4+8 z^2+1 }[/math] |
| Determinant | 49 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-10} +7 z^6 a^{-8} +5 z^6 a^{-10} -z^6 a^{-12} +17 z^4 a^{-8} +5 z^4 a^{-10} -5 z^4 a^{-12} +17 z^2 a^{-8} -4 z^2 a^{-10} -6 z^2 a^{-12} +z^2 a^{-14} +6 a^{-8} -5 a^{-10} - a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-9} +4 z^9 a^{-11} +3 z^9 a^{-13} +z^8 a^{-8} -3 z^8 a^{-10} +4 z^8 a^{-14} -4 z^7 a^{-9} -17 z^7 a^{-11} -10 z^7 a^{-13} +3 z^7 a^{-15} -7 z^6 a^{-8} -3 z^6 a^{-10} -10 z^6 a^{-12} -13 z^6 a^{-14} +z^6 a^{-16} +z^5 a^{-9} +17 z^5 a^{-11} +9 z^5 a^{-13} -7 z^5 a^{-15} +17 z^4 a^{-8} +14 z^4 a^{-10} +7 z^4 a^{-12} +11 z^4 a^{-14} +z^4 a^{-16} +9 z^3 a^{-9} -8 z^3 a^{-13} +4 z^3 a^{-15} +3 z^3 a^{-17} -17 z^2 a^{-8} -13 z^2 a^{-10} +3 z^2 a^{-12} -3 z^2 a^{-14} -z^2 a^{-16} +z^2 a^{-18} -7 z a^{-9} -4 z a^{-11} +4 z a^{-13} -z a^{-17} +6 a^{-8} +5 a^{-10} - a^{-12} - a^{-14} }[/math] |
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