K12n114
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-3 q^{12}+5 q^{11}-8 q^{10}+10 q^9-11 q^8+10 q^7-8 q^6+6 q^5-3 q^4+2 q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-9 t^2+12 t-13+12 t^{-1} -9 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-3 z^6+z^4+5 z^2+1 }[/math] |
| Determinant | 67 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +10 z^4 a^{-6} -13 z^4 a^{-8} +4 z^4 a^{-10} +14 z^2 a^{-6} -13 z^2 a^{-8} +4 z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +4 z^9 a^{-9} +3 z^9 a^{-11} -3 z^8 a^{-8} +z^8 a^{-10} +4 z^8 a^{-12} -3 z^7 a^{-7} -14 z^7 a^{-9} -7 z^7 a^{-11} +4 z^7 a^{-13} +3 z^6 a^{-6} +6 z^6 a^{-8} -8 z^6 a^{-10} -7 z^6 a^{-12} +4 z^6 a^{-14} +3 z^5 a^{-7} +17 z^5 a^{-9} +8 z^5 a^{-11} -3 z^5 a^{-13} +3 z^5 a^{-15} -13 z^4 a^{-6} -16 z^4 a^{-8} +8 z^4 a^{-10} +6 z^4 a^{-12} -4 z^4 a^{-14} +z^4 a^{-16} -6 z^3 a^{-7} -11 z^3 a^{-9} -3 z^3 a^{-11} -2 z^3 a^{-13} -4 z^3 a^{-15} +15 z^2 a^{-6} +16 z^2 a^{-8} -z^2 a^{-10} -z^2 a^{-12} -z^2 a^{-16} +4 z a^{-7} +3 z a^{-9} +2 z a^{-13} +z a^{-15} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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