K12n702
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-5 q^3+10 q^2-15 q+20-20 q^{-1} +19 q^{-2} -15 q^{-3} +10 q^{-4} -5 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-28 t+37-28 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+2 z^2+1 }[/math] |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-a^2 z^4+z^4 a^{-2} -z^4+a^2 z^2+z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+7 a^3 z^9+10 a z^9+3 z^9 a^{-1} +9 a^4 z^8+11 a^2 z^8+z^8 a^{-2} +3 z^8+5 a^5 z^7-9 a^3 z^7-16 a z^7-2 z^7 a^{-1} +a^6 z^6-21 a^4 z^6-33 a^2 z^6+6 z^6 a^{-2} -5 z^6-10 a^5 z^5-9 a^3 z^5+2 a z^5+6 z^5 a^{-1} +5 z^5 a^{-3} -a^6 z^4+10 a^4 z^4+19 a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +2 z^4+3 a^5 z^3+8 a^3 z^3+6 a z^3-2 z^3 a^{-1} -3 z^3 a^{-3} -a^2 z^2-z^2+a^5 z-2 a z-2 z a^{-1} -z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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