K13n4208
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Polynomial invariants
| Jones polynomial | Data:K13n4208/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+22 t^2-51 t+67-51 t^{-1} +22 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4208/Conway Polynomial |
| Determinant | 221 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+3 z^4 a^4+4 z^2 a^4+a^4-2 z^6 a^2-3 z^4 a^2+2 a^2-2 z^6-4 z^4-4 z^2-2+2 z^4 a^{-2} +2 z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+8 a^4 z^{10}+18 a^2 z^{10}+10 z^{10}+8 a^5 z^9+16 a^3 z^9+20 a z^9+12 z^9 a^{-1} +4 a^6 z^8-12 a^4 z^8-34 a^2 z^8+6 z^8 a^{-2} -12 z^8+a^7 z^7-21 a^5 z^7-63 a^3 z^7-65 a z^7-23 z^7 a^{-1} +z^7 a^{-3} -11 a^6 z^6-10 a^4 z^6+6 a^2 z^6+5 z^6-3 a^7 z^5+17 a^5 z^5+64 a^3 z^5+68 a z^5+33 z^5 a^{-1} +9 z^5 a^{-3} +10 a^6 z^4+17 a^4 z^4+6 a^2 z^4+3 z^4 a^{-4} -4 z^4+3 a^7 z^3-7 a^5 z^3-33 a^3 z^3-38 a z^3-23 z^3 a^{-1} -8 z^3 a^{-3} -4 a^6 z^2-6 a^4 z^2+a^2 z^2-2 z^2 a^{-4} +5 z^2-a^7 z+2 a^5 z+8 a^3 z+9 a z+6 z a^{-1} +2 z a^{-3} +a^6+a^4-2 a^2- a^{-2} -2 }[/math] |
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