K12n5
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -1+5 q^{-1} -8 q^{-2} +12 q^{-3} -14 q^{-4} +14 q^{-5} -13 q^{-6} +10 q^{-7} -6 q^{-8} +3 q^{-9} - q^{-10} }[/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{ -a^{10}+3 z^2 a^8+3 a^8-3 z^4 a^6-6 z^2 a^6-4 a^6+z^6 a^4+3 z^4 a^4+5 z^2 a^4+2 a^4-z^4 a^2+a^2 }[/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}-12 z^6 a^{10}+15 z^4 a^{10}-7 z^2 a^{10}+a^{10}+3 z^9 a^9-7 z^7 a^9-3 z^5 a^9+10 z^3 a^9-3 z a^9+z^{10} a^8+7 z^8 a^8-35 z^6 a^8+41 z^4 a^8-19 z^2 a^8+3 a^8+7 z^9 a^7-17 z^7 a^7+4 z^5 a^7+4 z^3 a^7-z a^7+z^{10} a^6+9 z^8 a^6-36 z^6 a^6+42 z^4 a^6-23 z^2 a^6+4 a^6+4 z^9 a^5-7 z^7 a^5+4 z^5 a^5-2 z^3 a^5+z a^5+5 z^8 a^4-13 z^6 a^4+21 z^4 a^4-13 z^2 a^4+2 a^4+2 z^7 a^3+z^5 a^3+z a^3+5 z^4 a^2-2 z^2 a^2-a^2+z^3 a }[/math] |
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