K12n183
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+8 q^{10}-13 q^9+16 q^8-18 q^7+18 q^6-14 q^5+10 q^4-5 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+10 t^2-26 t+35-26 t^{-1} +10 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+4 z^4+5 z^2+1 }[/math] |
| Determinant | 109 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} +2 z^4 a^{-4} -2 z^4 a^{-6} +4 z^4 a^{-8} +4 z^2 a^{-4} -3 z^2 a^{-6} +8 z^2 a^{-8} -4 z^2 a^{-10} +2 a^{-4} -2 a^{-6} +4 a^{-8} -4 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +3 z^9 a^{-7} +7 z^9 a^{-9} +4 z^9 a^{-11} +3 z^8 a^{-6} +9 z^8 a^{-8} +12 z^8 a^{-10} +6 z^8 a^{-12} +z^7 a^{-5} -2 z^7 a^{-7} -6 z^7 a^{-9} +z^7 a^{-11} +4 z^7 a^{-13} -4 z^6 a^{-6} -25 z^6 a^{-8} -35 z^6 a^{-10} -13 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} +4 z^5 a^{-7} -13 z^5 a^{-9} -24 z^5 a^{-11} -10 z^5 a^{-13} +3 z^4 a^{-4} +10 z^4 a^{-6} +31 z^4 a^{-8} +31 z^4 a^{-10} +5 z^4 a^{-12} -2 z^4 a^{-14} -4 z^3 a^{-5} -3 z^3 a^{-7} +18 z^3 a^{-9} +24 z^3 a^{-11} +7 z^3 a^{-13} -5 z^2 a^{-4} -9 z^2 a^{-6} -17 z^2 a^{-8} -15 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} +z a^{-7} -5 z a^{-9} -8 z a^{-11} -2 z a^{-13} +2 a^{-4} +2 a^{-6} +4 a^{-8} +4 a^{-10} + a^{-12} }[/math] |
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