K12n3
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+3 q^2-6 q+10-11 q^{-1} +12 q^{-2} -11 q^{-3} +9 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-17 t+23-17 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+z^4+2 z^2+1 }[/math] |
| Determinant | 73 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+4 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-4 z^2 a^2-2 a^2+2 z^4+4 z^2+3-z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+6 a^3 z^9+3 a z^9+3 a^6 z^8+5 a^4 z^8+5 a^2 z^8+3 z^8+a^7 z^7-8 a^5 z^7-17 a^3 z^7-7 a z^7+z^7 a^{-1} -12 a^6 z^6-29 a^4 z^6-26 a^2 z^6-9 z^6-4 a^7 z^5-a^5 z^5+7 a^3 z^5+4 a z^5+14 a^6 z^4+33 a^4 z^4+32 a^2 z^4+3 z^4 a^{-2} +16 z^4+5 a^7 z^3+8 a^5 z^3+4 a^3 z^3+3 a z^3+3 z^3 a^{-1} +z^3 a^{-3} -6 a^6 z^2-14 a^4 z^2-15 a^2 z^2-3 z^2 a^{-2} -10 z^2-2 a^7 z-3 a^5 z-2 a^3 z-2 a z-2 z a^{-1} -z a^{-3} +a^6+2 a^4+2 a^2+ a^{-2} +3 }[/math] |
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