K13n3018
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Polynomial invariants
| Jones polynomial | Data:K13n3018/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+18 t^2-42 t+55-42 t^{-1} +18 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3018/Conway Polynomial |
| Determinant | 181 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+2 z^2 a^4-z^6 a^2+z^4 a^2+5 z^2 a^2+3 a^2-2 z^6-5 z^4-5 z^2-1+2 z^4 a^{-2} +2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+12 a^2 z^{10}+7 z^{10}+5 a^5 z^9+9 a^3 z^9+13 a z^9+9 z^9 a^{-1} +3 a^6 z^8-9 a^4 z^8-26 a^2 z^8+5 z^8 a^{-2} -9 z^8+a^7 z^7-14 a^5 z^7-39 a^3 z^7-41 a z^7-16 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6-2 a^4 z^6+17 a^2 z^6+2 z^6 a^{-2} +11 z^6-4 a^7 z^5+11 a^5 z^5+46 a^3 z^5+46 a z^5+24 z^5 a^{-1} +9 z^5 a^{-3} +10 a^6 z^4+7 a^4 z^4-9 a^2 z^4-6 z^4 a^{-2} +3 z^4 a^{-4} -15 z^4+5 a^7 z^3-4 a^5 z^3-28 a^3 z^3-30 a z^3-20 z^3 a^{-1} -9 z^3 a^{-3} -4 a^6 z^2-3 a^4 z^2+6 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +8 z^2-2 a^7 z+a^5 z+8 a^3 z+9 a z+5 z a^{-1} +z a^{-3} +a^6-3 a^2-1 }[/math] |
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