K13n2240
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Polynomial invariants
| Jones polynomial | Data:K13n2240/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-4 t^2+2 t+1+2 t^{-1} -4 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2240/Conway Polynomial |
| Determinant | 15 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+5 z^4 a^{-2} +4 z^4-3 a^2 z^2+6 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} +3 z^2-a^2+2 a^{-2} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +z^{10} a^{-4} +2 z^{10}+2 a z^9-5 z^9 a^{-1} -7 z^9 a^{-3} +2 a^2 z^8-22 z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} -11 z^8+a^3 z^7-9 a z^7+4 z^7 a^{-1} +14 z^7 a^{-3} +z^7 a^{-5} +z^7 a^{-7} -10 a^2 z^6+52 z^6 a^{-2} +20 z^6 a^{-4} -6 z^6 a^{-6} +16 z^6-5 a^3 z^5+6 a z^5+4 z^5 a^{-1} -9 z^5 a^{-3} -8 z^5 a^{-5} -6 z^5 a^{-7} +12 a^2 z^4-52 z^4 a^{-2} -22 z^4 a^{-4} +9 z^4 a^{-6} -9 z^4+6 a^3 z^3+4 a z^3-6 z^3 a^{-1} -2 z^3 a^{-3} +12 z^3 a^{-5} +10 z^3 a^{-7} -5 a^2 z^2+19 z^2 a^{-2} +8 z^2 a^{-4} -4 z^2 a^{-6} +2 z^2-2 a^3 z-2 a z+2 z a^{-1} +2 z a^{-3} -4 z a^{-5} -4 z a^{-7} +a^2-2 a^{-2} + a^{-6} +1 }[/math] |
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