K12n401
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-4 q^8+7 q^7-11 q^6+14 q^5-14 q^4+14 q^3-11 q^2+7 q-3+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+21 t-29+21 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-z^4+2 z^2+1 }[/math] |
| Determinant | 87 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -2 z^4 a^{-2} +3 z^4 a^{-4} -2 z^4 a^{-6} -3 z^2 a^{-2} +6 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +z^2-2 a^{-2} +4 a^{-4} -2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +2 z^9 a^{-3} +6 z^9 a^{-5} +4 z^9 a^{-7} +z^8 a^{-2} +3 z^8 a^{-4} +8 z^8 a^{-6} +6 z^8 a^{-8} -5 z^7 a^{-3} -14 z^7 a^{-5} -5 z^7 a^{-7} +4 z^7 a^{-9} -z^6 a^{-2} -14 z^6 a^{-4} -31 z^6 a^{-6} -17 z^6 a^{-8} +z^6 a^{-10} +3 z^5 a^{-1} +12 z^5 a^{-3} +10 z^5 a^{-5} -10 z^5 a^{-7} -11 z^5 a^{-9} +7 z^4 a^{-2} +27 z^4 a^{-4} +35 z^4 a^{-6} +12 z^4 a^{-8} -2 z^4 a^{-10} +z^4-4 z^3 a^{-1} -7 z^3 a^{-3} +3 z^3 a^{-5} +12 z^3 a^{-7} +6 z^3 a^{-9} -8 z^2 a^{-2} -18 z^2 a^{-4} -16 z^2 a^{-6} -4 z^2 a^{-8} -2 z^2+z a^{-1} +z a^{-3} -3 z a^{-5} -3 z a^{-7} +2 a^{-2} +4 a^{-4} +2 a^{-6} +1 }[/math] |
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