K13n40
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Polynomial invariants
| Jones polynomial | Data:K13n40/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-10 t+17-10 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n40/Conway Polynomial |
| Determinant | 41 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-3 z^2 a^6-3 a^6+3 z^4 a^4+7 z^2 a^4+5 a^4-z^6 a^2-5 z^4 a^2-10 z^2 a^2-5 a^2+z^6+5 z^4+6 z^2+3-z^4 a^{-2} -2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+6 a^4 z^{10}+4 a^2 z^{10}+z^{10}+3 a^7 z^9+4 a^5 z^9+4 a^3 z^9+6 a z^9+3 z^9 a^{-1} +a^8 z^8-11 a^6 z^8-27 a^4 z^8-21 a^2 z^8+3 z^8 a^{-2} -3 z^8-15 a^7 z^7-40 a^5 z^7-50 a^3 z^7-43 a z^7-17 z^7 a^{-1} +z^7 a^{-3} -5 a^8 z^6+2 a^6 z^6+19 a^4 z^6+11 a^2 z^6-15 z^6 a^{-2} -16 z^6+23 a^7 z^5+67 a^5 z^5+93 a^3 z^5+74 a z^5+21 z^5 a^{-1} -4 z^5 a^{-3} +8 a^8 z^4+15 a^6 z^4+17 a^4 z^4+30 a^2 z^4+16 z^4 a^{-2} +36 z^4-15 a^7 z^3-44 a^5 z^3-59 a^3 z^3-42 a z^3-10 z^3 a^{-1} +2 z^3 a^{-3} -5 a^8 z^2-13 a^6 z^2-21 a^4 z^2-26 a^2 z^2-6 z^2 a^{-2} -19 z^2+4 a^7 z+10 a^5 z+12 a^3 z+8 a z+2 z a^{-1} +a^8+3 a^6+5 a^4+5 a^2+3 }[/math] |
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