K12a249
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+4 q-8+14 q^{-1} -19 q^{-2} +23 q^{-3} -23 q^{-4} +21 q^{-5} -17 q^{-6} +11 q^{-7} -6 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+36 t-49+36 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6-z^4+2 z^2+1 }[/math] |
| Determinant | 151 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+3 z^2 a^8+3 a^8-3 z^4 a^6-5 z^2 a^6-4 a^6+z^6 a^4+z^4 a^4+2 z^2 a^4+2 a^4+z^6 a^2+2 z^4 a^2+3 z^2 a^2+a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-12 z^6 a^{10}+14 z^4 a^{10}-6 z^2 a^{10}+a^{10}+4 z^9 a^9-13 z^7 a^9+11 z^5 a^9-4 z^3 a^9+z a^9+3 z^{10} a^8-3 z^8 a^8-16 z^6 a^8+29 z^4 a^8-17 z^2 a^8+3 a^8+z^{11} a^7+8 z^9 a^7-35 z^7 a^7+47 z^5 a^7-28 z^3 a^7+5 z a^7+7 z^{10} a^6-12 z^8 a^6-7 z^6 a^6+29 z^4 a^6-21 z^2 a^6+4 a^6+z^{11} a^5+11 z^9 a^5-35 z^7 a^5+43 z^5 a^5-24 z^3 a^5+5 z a^5+4 z^{10} a^4+2 z^8 a^4-16 z^6 a^4+19 z^4 a^4-9 z^2 a^4+2 a^4+7 z^9 a^3-7 z^7 a^3+2 z a^3+8 z^8 a^2-9 z^6 a^2-z^4 a^2+3 z^2 a^2-a^2+7 z^7 a-10 z^5 a+3 z^3 a+4 z^6-6 z^4+2 z^2+z^5 a^{-1} -z^3 a^{-1} }[/math] |
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