K12a161
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+3 q-7+13 q^{-1} -18 q^{-2} +23 q^{-3} -23 q^{-4} +22 q^{-5} -18 q^{-6} +12 q^{-7} -7 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-16 t^2+34 t-43+34 t^{-1} -16 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^6+8 z^4+6 z^2+1 }[/math] |
| Determinant | 151 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8+z^6 a^6+2 z^4 a^6+z^2 a^6-a^6+2 z^6 a^4+6 z^4 a^4+7 z^2 a^4+3 a^4+z^6 a^2+2 z^4 a^2+2 z^2 a^2+a^2-z^4-2 z^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+12 z^4 a^{10}-3 z^2 a^{10}+4 z^9 a^9-11 z^7 a^9+6 z^5 a^9+2 z^3 a^9+3 z^{10} a^8-3 z^8 a^8-7 z^6 a^8+5 z^4 a^8+2 z^2 a^8-a^8+z^{11} a^7+6 z^9 a^7-16 z^7 a^7+6 z^5 a^7-z a^7+6 z^{10} a^6-7 z^8 a^6-z^6 a^6-3 z^4 a^6+a^6+z^{11} a^5+7 z^9 a^5-8 z^7 a^5-10 z^5 a^5+14 z^3 a^5-6 z a^5+3 z^{10} a^4+5 z^8 a^4-13 z^6 a^4+8 z^4 a^4-4 z^2 a^4+3 a^4+5 z^9 a^3+z^7 a^3-13 z^5 a^3+15 z^3 a^3-4 z a^3+6 z^8 a^2-5 z^6 a^2-z^4 a^2+4 z^2 a^2-a^2+5 z^7 a-6 z^5 a+2 z^3 a+3 z^6-5 z^4+3 z^2-1+z^5 a^{-1} -2 z^3 a^{-1} +z a^{-1} }[/math] |
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