K13n3410
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Polynomial invariants
| Jones polynomial | Data:K13n3410/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-t^3-6 t^2+21 t-29+21 t^{-1} -6 t^{-2} - t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3410/Conway Polynomial |
| Determinant | 79 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-6 z^2 a^6-4 a^6+z^6 a^4+2 z^4 a^4+3 z^2 a^4+2 a^4+z^8 a^2+7 z^6 a^2+14 z^4 a^2+12 z^2 a^2+4 a^2-z^6-5 z^4-6 z^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^6 z^{10}+2 a^4 z^{10}+3 a^2 z^{10}+2 z^{10}+4 a^7 z^9+5 a^5 z^9-6 a^3 z^9-6 a z^9+z^9 a^{-1} +6 a^8 z^8+9 a^6 z^8-9 a^4 z^8-27 a^2 z^8-15 z^8+4 a^9 z^7-8 a^5 z^7+4 a^3 z^7+a z^7-7 z^7 a^{-1} +a^{10} z^6-13 a^8 z^6-29 a^6 z^6+20 a^4 z^6+69 a^2 z^6+34 z^6-10 a^9 z^5-24 a^7 z^5-a^5 z^5+26 a^3 z^5+28 a z^5+15 z^5 a^{-1} -2 a^{10} z^4+4 a^8 z^4+24 a^6 z^4-10 a^4 z^4-59 a^2 z^4-31 z^4+7 a^9 z^3+23 a^7 z^3+8 a^5 z^3-28 a^3 z^3-33 a z^3-13 z^3 a^{-1} +a^{10} z^2-a^8 z^2-12 a^6 z^2-a^4 z^2+21 a^2 z^2+12 z^2-2 a^9 z-8 a^7 z-4 a^5 z+8 a^3 z+10 a z+4 z a^{-1} +a^8+4 a^6+2 a^4-4 a^2-2 }[/math] |
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