K12n476
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-3 q^9+6 q^8-9 q^7+11 q^6-12 q^5+11 q^4-9 q^3+6 q^2-3 q+2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+10 t^2-15 t+17-15 t^{-1} +10 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-8 z^4-2 z^2+1 }[/math] |
| Determinant | 73 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-4} -z^6 a^{-6} +2 z^4 a^{-2} -9 z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +7 z^2 a^{-2} -13 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2 a^{-8} +5 a^{-2} -7 a^{-4} +3 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} -4 z^8 a^{-4} +z^8 a^{-6} +5 z^8 a^{-8} -3 z^7 a^{-3} -14 z^7 a^{-5} -5 z^7 a^{-7} +6 z^7 a^{-9} +3 z^6 a^{-2} +14 z^6 a^{-4} -3 z^6 a^{-6} -9 z^6 a^{-8} +5 z^6 a^{-10} +3 z^5 a^{-3} +23 z^5 a^{-5} +7 z^5 a^{-7} -10 z^5 a^{-9} +3 z^5 a^{-11} -13 z^4 a^{-2} -32 z^4 a^{-4} -3 z^4 a^{-6} +9 z^4 a^{-8} -6 z^4 a^{-10} +z^4 a^{-12} -4 z^3 a^{-3} -23 z^3 a^{-5} -8 z^3 a^{-7} +8 z^3 a^{-9} -3 z^3 a^{-11} +16 z^2 a^{-2} +27 z^2 a^{-4} +5 z^2 a^{-6} -3 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +3 z a^{-3} +7 z a^{-5} +3 z a^{-7} -z a^{-9} -5 a^{-2} -7 a^{-4} -3 a^{-6} }[/math] |
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