K12n836
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+9 q^{10}-14 q^9+17 q^8-20 q^7+19 q^6-15 q^5+11 q^4-5 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-27 t+35-27 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+3 z^2+1 }[/math] |
| Determinant | 117 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -z^4 a^{-6} -2 z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-4} +z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-8} +2 z^{10} a^{-10} +4 z^9 a^{-7} +10 z^9 a^{-9} +6 z^9 a^{-11} +3 z^8 a^{-6} +4 z^8 a^{-8} +8 z^8 a^{-10} +7 z^8 a^{-12} +z^7 a^{-5} -6 z^7 a^{-7} -20 z^7 a^{-9} -9 z^7 a^{-11} +4 z^7 a^{-13} -2 z^6 a^{-6} -11 z^6 a^{-8} -26 z^6 a^{-10} -16 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} +11 z^5 a^{-7} +14 z^5 a^{-9} -3 z^5 a^{-11} -9 z^5 a^{-13} +3 z^4 a^{-4} +4 z^4 a^{-6} +8 z^4 a^{-8} +17 z^4 a^{-10} +8 z^4 a^{-12} -2 z^4 a^{-14} -3 z^3 a^{-5} -8 z^3 a^{-7} -7 z^3 a^{-9} +3 z^3 a^{-11} +5 z^3 a^{-13} -5 z^2 a^{-4} -2 z^2 a^{-6} +3 z^2 a^{-8} -3 z^2 a^{-10} -2 z^2 a^{-12} +z^2 a^{-14} -z a^{-5} +3 z a^{-7} +5 z a^{-9} -z a^{-13} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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