K13n1975
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Polynomial invariants
| Jones polynomial | Data:K13n1975/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+6 t^2-8 t+9-8 t^{-1} +6 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1975/Conway Polynomial |
| Determinant | 45 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+7 a^2 z^6-z^6-5 a^4 z^4+18 a^2 z^4-5 z^4-8 a^4 z^2+21 a^2 z^2-8 z^2-5 a^4+10 a^2-4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+3 a^5 z^9-2 a z^9+z^9 a^{-1} +a^6 z^8-16 a^4 z^8-30 a^2 z^8-13 z^8-16 a^5 z^7-24 a^3 z^7-15 a z^7-7 z^7 a^{-1} -3 a^6 z^6+27 a^4 z^6+58 a^2 z^6+28 z^6+a^7 z^5+27 a^5 z^5+58 a^3 z^5+49 a z^5+17 z^5 a^{-1} -a^6 z^4-26 a^4 z^4-50 a^2 z^4-25 z^4-3 a^7 z^3-24 a^5 z^3-51 a^3 z^3-47 a z^3-17 z^3 a^{-1} +a^8 z^2+a^6 z^2+16 a^4 z^2+28 a^2 z^2+12 z^2+a^9 z+a^7 z+8 a^5 z+18 a^3 z+16 a z+6 z a^{-1} -5 a^4-10 a^2-4 }[/math] |
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