K13n1777
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Polynomial invariants
| Jones polynomial | Data:K13n1777/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+7 t-7+7 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1777/Conway Polynomial |
| Determinant | 31 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+3 z^2 a^6+2 a^6-z^6 a^4-6 z^4 a^4-11 z^2 a^4-6 a^4+z^6 a^2+5 z^4 a^2+9 z^2 a^2+6 a^2+z^6+3 z^4+z^2-1-z^4 a^{-2} -2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^6 z^{10}+2 a^4 z^{10}+4 a^2 z^{10}+3 z^{10}+2 a^7 z^9+2 a^5 z^9-5 a^3 z^9-a z^9+4 z^9 a^{-1} +a^8 z^8-6 a^6 z^8-17 a^4 z^8-26 a^2 z^8+3 z^8 a^{-2} -13 z^8-13 a^7 z^7-17 a^5 z^7-a^3 z^7-16 a z^7-18 z^7 a^{-1} +z^7 a^{-3} -6 a^8 z^6+8 a^6 z^6+43 a^4 z^6+54 a^2 z^6-13 z^6 a^{-2} +12 z^6+25 a^7 z^5+38 a^5 z^5+23 a^3 z^5+34 a z^5+20 z^5 a^{-1} -4 z^5 a^{-3} +10 a^8 z^4-3 a^6 z^4-49 a^4 z^4-53 a^2 z^4+13 z^4 a^{-2} -4 z^4-17 a^7 z^3-33 a^5 z^3-28 a^3 z^3-24 a z^3-9 z^3 a^{-1} +3 z^3 a^{-3} -4 a^8 z^2+3 a^6 z^2+27 a^4 z^2+27 a^2 z^2-4 z^2 a^{-2} +3 z^2+4 a^7 z+10 a^5 z+10 a^3 z+6 a z+2 z a^{-1} -2 a^6-6 a^4-6 a^2-1 }[/math] |
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