K13n2612
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Polynomial invariants
| Jones polynomial | Data:K13n2612/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+22 t-23+22 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2612/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6-3 a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +7 z^4+a^4 z^2-8 a^2 z^2-2 z^2 a^{-4} +6 z^2+2 a^4-3 a^2+ a^{-2} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+3 a^3 z^9+4 a z^9+2 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-9 a^2 z^8-2 z^8 a^{-2} -12 z^8-14 a^3 z^7-28 a z^7-7 z^7 a^{-1} +7 z^7 a^{-3} -5 a^4 z^6-4 a^2 z^6+5 z^6 a^{-2} +11 z^6 a^{-4} -5 z^6+20 a^3 z^5+33 a z^5-10 z^5 a^{-1} -17 z^5 a^{-3} +6 z^5 a^{-5} +9 a^4 z^4+26 a^2 z^4-24 z^4 a^{-2} -19 z^4 a^{-4} +3 z^4 a^{-6} +15 z^4-9 a^3 z^3-5 a z^3+16 z^3 a^{-1} +8 z^3 a^{-3} -3 z^3 a^{-5} +z^3 a^{-7} -7 a^4 z^2-16 a^2 z^2+16 z^2 a^{-2} +10 z^2 a^{-4} -3 z^2+a^3 z-4 a z-8 z a^{-1} -3 z a^{-3} +2 a^4+3 a^2- a^{-2} +1 }[/math] |
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