K13n3360
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Polynomial invariants
| Jones polynomial | Data:K13n3360/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+25 t^2-52 t+67-52 t^{-1} +25 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3360/Conway Polynomial |
| Determinant | 237 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-6 a^2 z^4+8 z^4+2 a^4 z^2-8 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +7 z^2+a^4-3 a^2+ a^{-2} - a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +8 a^2 z^{10}+9 z^{10} a^{-2} +17 z^{10}+10 a^3 z^9+17 a z^9+16 z^9 a^{-1} +9 z^9 a^{-3} +8 a^4 z^8+a^2 z^8-12 z^8 a^{-2} +3 z^8 a^{-4} -22 z^8+4 a^5 z^7-11 a^3 z^7-37 a z^7-36 z^7 a^{-1} -14 z^7 a^{-3} +a^6 z^6-14 a^4 z^6-25 a^2 z^6+15 z^6 a^{-2} +6 z^6 a^{-4} -z^6-8 a^5 z^5-6 a^3 z^5+12 a z^5+17 z^5 a^{-1} +13 z^5 a^{-3} +6 z^5 a^{-5} -2 a^6 z^4+9 a^4 z^4+26 a^2 z^4-22 z^4 a^{-2} -17 z^4 a^{-4} +10 z^4+6 a^5 z^3+14 a^3 z^3+12 a z^3+4 z^3 a^{-1} -9 z^3 a^{-3} -9 z^3 a^{-5} +a^6 z^2-3 a^4 z^2-14 a^2 z^2+11 z^2 a^{-2} +9 z^2 a^{-4} -8 z^2-2 a^5 z-6 a^3 z-7 a z-3 z a^{-1} +2 z a^{-3} +2 z a^{-5} +a^4+3 a^2- a^{-2} - a^{-4} +3 }[/math] |
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