K13n3559
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Polynomial invariants
| Jones polynomial | Data:K13n3559/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+32 t-39+32 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3559/Conway Polynomial |
| Determinant | 151 |
| 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^4-10 a^4 z^4+7 a^2 z^4-z^4+3 a^6 z^2-8 a^4 z^2+9 a^2 z^2-2 z^2-2 a^4+4 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+7 a^5 z^9-2 a^3 z^9+a z^9+8 a^8 z^8-16 a^6 z^8-35 a^4 z^8-11 a^2 z^8+4 a^9 z^7-28 a^7 z^7-34 a^5 z^7-a^3 z^7+a z^7+a^{10} z^6-20 a^8 z^6+14 a^6 z^6+64 a^4 z^6+33 a^2 z^6+4 z^6-9 a^9 z^5+27 a^7 z^5+54 a^5 z^5+19 a^3 z^5+2 a z^5+z^5 a^{-1} -2 a^{10} z^4+12 a^8 z^4-7 a^6 z^4-53 a^4 z^4-40 a^2 z^4-8 z^4+3 a^9 z^3-12 a^7 z^3-33 a^5 z^3-24 a^3 z^3-8 a z^3-2 z^3 a^{-1} -2 a^8 z^2+3 a^6 z^2+19 a^4 z^2+19 a^2 z^2+5 z^2+a^7 z+6 a^5 z+8 a^3 z+4 a z+z a^{-1} -2 a^4-4 a^2-1 }[/math] |
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