K12n760
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+9 q^4-14 q^3+19 q^2-21 q+20-17 q^{-1} +12 q^{-2} -6 q^{-3} +2 q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-29 t+41-29 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-z^4-3 z^2+1 }[/math] |
| Determinant | 125 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -z^4-a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +a^4-a^2- a^{-2} + a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+4 a z^9+10 z^9 a^{-1} +6 z^9 a^{-3} +3 a^2 z^8+9 z^8 a^{-2} +7 z^8 a^{-4} +5 z^8+a^3 z^7-2 a z^7-15 z^7 a^{-1} -8 z^7 a^{-3} +4 z^7 a^{-5} +2 a^2 z^6-24 z^6 a^{-2} -16 z^6 a^{-4} +z^6 a^{-6} -5 z^6+5 a^3 z^5+6 a z^5+8 z^5 a^{-1} -2 z^5 a^{-3} -9 z^5 a^{-5} +3 a^4 z^4-a^2 z^4+12 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} -4 z^4-5 a^3 z^3-9 a z^3-9 z^3 a^{-1} +5 z^3 a^{-5} -3 a^4 z^2-2 a^2 z^2-3 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +z^2+2 a^3 z+3 a z+3 z a^{-1} +2 z a^{-3} +a^4+a^2+ a^{-2} + a^{-4} +1 }[/math] |
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