K12n220
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-3 q^{11}+4 q^{10}-5 q^9+5 q^8-4 q^7+3 q^6-q^5-q^4+2 q^3-q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-8 t+13-8 t^{-1} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-5 z^6-2 z^4+3 z^2+1 }[/math] |
| Determinant | 21 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +z^6 a^{-8} +6 z^4 a^{-4} -16 z^4 a^{-6} +8 z^4 a^{-8} +10 z^2 a^{-4} -18 z^2 a^{-6} +15 z^2 a^{-8} -4 z^2 a^{-10} +5 a^{-4} -9 a^{-6} +9 a^{-8} -5 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-5} +z^9 a^{-7} +z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} +3 z^8 a^{-6} +3 z^8 a^{-8} +4 z^8 a^{-10} +3 z^8 a^{-12} -6 z^7 a^{-5} -7 z^7 a^{-7} -4 z^7 a^{-9} +3 z^7 a^{-13} -7 z^6 a^{-4} -22 z^6 a^{-6} -24 z^6 a^{-8} -21 z^6 a^{-10} -11 z^6 a^{-12} +z^6 a^{-14} +9 z^5 a^{-5} +9 z^5 a^{-7} -3 z^5 a^{-9} -14 z^5 a^{-11} -11 z^5 a^{-13} +16 z^4 a^{-4} +46 z^4 a^{-6} +52 z^4 a^{-8} +33 z^4 a^{-10} +8 z^4 a^{-12} -3 z^4 a^{-14} -3 z^3 a^{-5} +z^3 a^{-7} +15 z^3 a^{-9} +19 z^3 a^{-11} +8 z^3 a^{-13} -15 z^2 a^{-4} -36 z^2 a^{-6} -38 z^2 a^{-8} -21 z^2 a^{-10} -3 z^2 a^{-12} +z^2 a^{-14} -z a^{-5} -2 z a^{-7} -6 z a^{-9} -7 z a^{-11} -2 z a^{-13} +5 a^{-4} +9 a^{-6} +9 a^{-8} +5 a^{-10} + a^{-12} }[/math] |
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