K12n736
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q-7+14 q^{-1} -20 q^{-2} +25 q^{-3} -25 q^{-4} +23 q^{-5} -18 q^{-6} +11 q^{-7} -5 q^{-8} + q^{-9} }[/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{ z^2 a^8-3 z^4 a^6-4 z^2 a^6-2 a^6+2 z^6 a^4+6 z^4 a^4+9 z^2 a^4+4 a^4-4 z^4 a^2-6 z^2 a^2-2 a^2+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-z^4 a^{10}+5 z^7 a^9-9 z^5 a^9+3 z^3 a^9+z a^9+10 z^8 a^8-21 z^6 a^8+10 z^4 a^8-2 z^2 a^8+10 z^9 a^7-17 z^7 a^7+2 z^5 a^7-z^3 a^7+z a^7+4 z^{10} a^6+10 z^8 a^6-41 z^6 a^6+33 z^4 a^6-12 z^2 a^6+2 a^6+19 z^9 a^5-46 z^7 a^5+42 z^5 a^5-19 z^3 a^5+3 z a^5+4 z^{10} a^4+6 z^8 a^4-29 z^6 a^4+37 z^4 a^4-18 z^2 a^4+4 a^4+9 z^9 a^3-23 z^7 a^3+38 z^5 a^3-24 z^3 a^3+5 z a^3+6 z^8 a^2-10 z^6 a^2+18 z^4 a^2-12 z^2 a^2+2 a^2+z^7 a+7 z^5 a-9 z^3 a+2 z a+3 z^4-4 z^2+1 }[/math] |
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