K13a1133
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Polynomial invariants
| Jones polynomial | Data:K13a1133/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-9 t^3+36 t^2-83 t+111-83 t^{-1} +36 t^{-2} -9 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13a1133/Conway Polynomial |
| Determinant | 369 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-4 z^2 a^6-2 a^6+6 z^4 a^4+9 z^2 a^4+4 a^4-4 z^6 a^2-11 z^4 a^2-14 z^2 a^2-6 a^2+z^8+4 z^6+9 z^4+7 z^2+4-z^6 a^{-2} -2 z^4 a^{-2} -2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+7 a^5 z^{11}+17 a^3 z^{11}+10 a z^{11}+8 a^6 z^{10}+26 a^4 z^{10}+40 a^2 z^{10}+22 z^{10}+4 a^7 z^9-5 a^5 z^9-4 a^3 z^9+33 a z^9+28 z^9 a^{-1} +a^8 z^8-25 a^6 z^8-91 a^4 z^8-99 a^2 z^8+23 z^8 a^{-2} -11 z^8-14 a^7 z^7-37 a^5 z^7-102 a^3 z^7-133 a z^7-41 z^7 a^{-1} +13 z^7 a^{-3} -4 a^8 z^6+25 a^6 z^6+82 a^4 z^6+36 a^2 z^6-31 z^6 a^{-2} +5 z^6 a^{-4} -53 z^6+18 a^7 z^5+60 a^5 z^5+133 a^3 z^5+123 a z^5+20 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} +6 a^8 z^4-7 a^6 z^4-16 a^4 z^4+35 a^2 z^4+19 z^4 a^{-2} -2 z^4 a^{-4} +59 z^4-10 a^7 z^3-26 a^5 z^3-49 a^3 z^3-43 a z^3-7 z^3 a^{-1} +3 z^3 a^{-3} -4 a^8 z^2-2 a^6 z^2-7 a^4 z^2-24 a^2 z^2-6 z^2 a^{-2} -21 z^2+2 a^7 z+4 a z+2 z a^{-1} +a^8+2 a^6+4 a^4+6 a^2+4 }[/math] |
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