K13n3418
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Polynomial invariants
| Jones polynomial | Data:K13n3418/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+21 t^2-32 t+35-32 t^{-1} +21 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3418/Conway Polynomial |
| Determinant | 157 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+z^4 a^8+3 z^2 a^8+a^8-2 z^6 a^6-6 z^4 a^6-4 z^2 a^6-a^6+z^8 a^4+4 z^6 a^4+6 z^4 a^4+6 z^2 a^4+2 a^4-z^6 a^2-2 z^4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^3 a^{11}-3 z a^{11}+3 z^6 a^{10}+z^4 a^{10}-3 z^2 a^{10}+a^{10}+3 z^9 a^9-9 z^7 a^9+20 z^5 a^9-10 z^3 a^9+z a^9+5 z^{10} a^8-15 z^8 a^8+20 z^6 a^8-2 z^4 a^8-3 z^2 a^8+a^8+2 z^{11} a^7+8 z^9 a^7-45 z^7 a^7+69 z^5 a^7-38 z^3 a^7+7 z a^7+12 z^{10} a^6-30 z^8 a^6+9 z^6 a^6+18 z^4 a^6-11 z^2 a^6+a^6+2 z^{11} a^5+14 z^9 a^5-63 z^7 a^5+68 z^5 a^5-30 z^3 a^5+4 z a^5+7 z^{10} a^4-10 z^8 a^4-22 z^6 a^4+31 z^4 a^4-13 z^2 a^4+2 a^4+9 z^9 a^3-26 z^7 a^3+17 z^5 a^3-4 z^3 a^3+z a^3+5 z^8 a^2-14 z^6 a^2+10 z^4 a^2-2 z^2 a^2+z^7 a-2 z^5 a+z^3 a }[/math] |
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