K12n430
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-2 q^2+2 q-1+ q^{-1} - q^{-3} +2 q^{-4} -2 q^{-5} +2 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | 1 |
| Conway polynomial | 1 |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+z^4 a^4+3 z^2 a^4+2 a^4-z^4-3 z^2-1+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^9+a^3 z^9+2 a^6 z^8+2 a^4 z^8+a^2 z^8+z^8+a^7 z^7-5 a^5 z^7-7 a^3 z^7+a z^7+2 z^7 a^{-1} -11 a^6 z^6-13 a^4 z^6-7 a^2 z^6+z^6 a^{-2} -4 z^6-5 a^7 z^5+5 a^5 z^5+13 a^3 z^5-6 a z^5-9 z^5 a^{-1} +16 a^6 z^4+22 a^4 z^4+10 a^2 z^4-4 z^4 a^{-2} +6 a^7 z^3-a^5 z^3-10 a^3 z^3+5 a z^3+8 z^3 a^{-1} -7 a^6 z^2-13 a^4 z^2-4 a^2 z^2+3 z^2 a^{-2} +5 z^2-a^7 z+2 a^3 z-z a^{-1} +a^6+2 a^4- a^{-2} -1 }[/math] |
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