K13n1764
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Polynomial invariants
| Jones polynomial | Data:K13n1764/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+18 t^2-38 t+49-38 t^{-1} +18 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1764/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-3 z^6+a^4 z^4-a^2 z^4+5 z^4 a^{-2} -11 z^4+2 a^4 z^2+a^2 z^2+12 z^2 a^{-2} -2 z^2 a^{-4} -15 z^2+a^4+a^2+7 a^{-2} -2 a^{-4} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+5 z^{10} a^{-2} +11 z^{10}+8 a^3 z^9+9 a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +6 a^4 z^8-10 a^2 z^8-13 z^8 a^{-2} +z^8 a^{-4} -30 z^8+3 a^5 z^7-22 a^3 z^7-38 a z^7-19 z^7 a^{-1} -6 z^7 a^{-3} +a^6 z^6-15 a^4 z^6+3 a^2 z^6+33 z^6 a^{-2} +6 z^6 a^{-4} +46 z^6-7 a^5 z^5+29 a^3 z^5+61 a z^5+32 z^5 a^{-1} +10 z^5 a^{-3} +3 z^5 a^{-5} -3 a^6 z^4+13 a^4 z^4+7 a^2 z^4-48 z^4 a^{-2} -15 z^4 a^{-4} -42 z^4+3 a^5 z^3-23 a^3 z^3-43 a z^3-28 z^3 a^{-1} -16 z^3 a^{-3} -5 z^3 a^{-5} +2 a^6 z^2-7 a^4 z^2-4 a^2 z^2+29 z^2 a^{-2} +8 z^2 a^{-4} +26 z^2+6 a^3 z+12 a z+10 z a^{-1} +6 z a^{-3} +2 z a^{-5} +a^4-a^2-7 a^{-2} -2 a^{-4} -6 }[/math] |
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