K13n4060
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Polynomial invariants
| Jones polynomial | Data:K13n4060/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+34 t-41+34 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4060/Conway Polynomial |
| Determinant | 159 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+2 a^2 z^6+3 a^6 z^4-11 a^4 z^4+7 a^2 z^4-z^4+4 a^6 z^2-12 a^4 z^2+10 a^2 z^2-2 z^2+2 a^6-6 a^4+6 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+10 a^4 z^{10}+3 a^2 z^{10}+10 a^7 z^9+8 a^5 z^9-a^3 z^9+a z^9+8 a^8 z^8-13 a^6 z^8-31 a^4 z^8-10 a^2 z^8+4 a^9 z^7-24 a^7 z^7-32 a^5 z^7-3 a^3 z^7+a z^7+a^{10} z^6-17 a^8 z^6+10 a^6 z^6+54 a^4 z^6+30 a^2 z^6+4 z^6-8 a^9 z^5+21 a^7 z^5+48 a^5 z^5+21 a^3 z^5+3 a z^5+z^5 a^{-1} -2 a^{10} z^4+8 a^8 z^4-9 a^6 z^4-47 a^4 z^4-36 a^2 z^4-8 z^4+3 a^9 z^3-15 a^7 z^3-36 a^5 z^3-25 a^3 z^3-9 a z^3-2 z^3 a^{-1} +a^{10} z^2-2 a^8 z^2+5 a^6 z^2+23 a^4 z^2+20 a^2 z^2+5 z^2+5 a^7 z+12 a^5 z+10 a^3 z+4 a z+z a^{-1} -2 a^6-6 a^4-6 a^2-1 }[/math] |
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