K12n727
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^6+4 q^5-8 q^4+12 q^3-14 q^2+15 q-14+11 q^{-1} -7 q^{-2} +4 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+21 t-25+21 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+2 z^4-z^2+1 }[/math] |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +2 z^4-a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+5 a z^9+9 z^9 a^{-1} +4 z^9 a^{-3} +4 a^2 z^8+z^8 a^{-2} +3 z^8 a^{-4} +2 z^8+a^3 z^7-17 a z^7-27 z^7 a^{-1} -8 z^7 a^{-3} +z^7 a^{-5} -15 a^2 z^6-10 z^6 a^{-2} -2 z^6 a^{-4} -23 z^6-3 a^3 z^5+14 a z^5+22 z^5 a^{-1} +9 z^5 a^{-3} +4 z^5 a^{-5} +15 a^2 z^4+3 z^4 a^{-2} +z^4 a^{-4} +4 z^4 a^{-6} +21 z^4+2 a^3 z^3-2 a z^3-10 z^3 a^{-1} -9 z^3 a^{-3} -2 z^3 a^{-5} +z^3 a^{-7} -2 a^2 z^2+z^2 a^{-2} -z^2 a^{-6} -2 z^2+2 z a^{-1} +3 z a^{-3} +z a^{-5} -a^2- a^{-2} -1 }[/math] |
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