K12n601
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^9+q^8-q^7+q^6+2 q^5-4 q^4+5 q^3-6 q^2+6 q-4+3 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+6 t-7+6 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+3 z^4+3 z^2+1 }[/math] |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +4 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} -z^4+5 z^2 a^{-2} -3 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} -2 z^2+2 a^{-2} -3 a^{-4} +4 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +z^9 a^{-5} +2 z^9 a^{-7} +z^9 a^{-9} +z^8 a^{-2} -9 z^8 a^{-6} -8 z^8 a^{-8} +3 z^7 a^{-1} +3 z^7 a^{-3} -9 z^7 a^{-5} -17 z^7 a^{-7} -8 z^7 a^{-9} +2 z^6 a^{-2} +3 z^6 a^{-4} +25 z^6 a^{-6} +21 z^6 a^{-8} +3 z^6+a z^5-7 z^5 a^{-1} -6 z^5 a^{-3} +24 z^5 a^{-5} +43 z^5 a^{-7} +21 z^5 a^{-9} -10 z^4 a^{-2} -7 z^4 a^{-4} -29 z^4 a^{-6} -24 z^4 a^{-8} -8 z^4-2 a z^3+3 z^3 a^{-1} +5 z^3 a^{-3} -17 z^3 a^{-5} -38 z^3 a^{-7} -21 z^3 a^{-9} +8 z^2 a^{-2} +10 z^2 a^{-4} +19 z^2 a^{-6} +13 z^2 a^{-8} +4 z^2-z a^{-1} -2 z a^{-3} +2 z a^{-5} +9 z a^{-7} +6 z a^{-9} -2 a^{-2} -3 a^{-4} -4 a^{-6} -2 a^{-8} }[/math] |
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