K12n833
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-7 q^2+11 q-14+17 q^{-1} -15 q^{-2} +14 q^{-3} -10 q^{-4} +5 q^{-5} -2 q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-11 t^2+22 t-27+22 t^{-1} -11 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+7 z^4+5 z^2+1 }[/math] |
| Determinant | 99 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 a^2 z^6+z^6-2 a^4 z^4+8 a^2 z^4-z^4 a^{-2} +2 z^4-5 a^4 z^2+12 a^2 z^2-2 z^2 a^{-2} -4 a^4+7 a^2- a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+5 a^3 z^9+9 a z^9+4 z^9 a^{-1} +5 a^4 z^8+3 a^2 z^8+3 z^8 a^{-2} +z^8+3 a^5 z^7-9 a^3 z^7-25 a z^7-12 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-4 a^4 z^6-11 a^2 z^6-11 z^6 a^{-2} -17 z^6+2 a^5 z^5+13 a^3 z^5+22 a z^5+7 z^5 a^{-1} -4 z^5 a^{-3} +4 a^6 z^4-3 a^4 z^4-4 a^2 z^4+12 z^4 a^{-2} +15 z^4+3 a^7 z^3-3 a^5 z^3-21 a^3 z^3-18 a z^3+2 z^3 a^{-1} +5 z^3 a^{-3} -a^6 z^2+8 a^4 z^2+11 a^2 z^2-4 z^2 a^{-2} -2 z^2-2 a^7 z+3 a^5 z+11 a^3 z+8 a z-2 z a^{-3} -4 a^4-7 a^2+ a^{-2} -1 }[/math] |
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