K13n3309
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Polynomial invariants
| Jones polynomial | Data:K13n3309/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-8 t^2+11 t-11+11 t^{-1} -8 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3309/Conway Polynomial |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+4 a^2 z^4+4 z^4 a^{-2} -12 z^4+4 a^2 z^2+4 z^2 a^{-2} -9 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+3 z^{10} a^{-2} +7 z^{10}+3 a^3 z^9-7 a z^9-9 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-22 a^2 z^8-17 z^8 a^{-2} -40 z^8-16 a^3 z^7-2 a z^7+11 z^7 a^{-1} -3 z^7 a^{-3} -5 a^4 z^6+37 a^2 z^6+34 z^6 a^{-2} +z^6 a^{-4} +75 z^6+24 a^3 z^5+17 a z^5-7 z^5 a^{-1} +6 a^4 z^4-26 a^2 z^4-33 z^4 a^{-2} -2 z^4 a^{-4} -63 z^4-11 a^3 z^3-11 a z^3+2 z^3 a^{-1} +4 z^3 a^{-3} +2 z^3 a^{-5} -a^4 z^2+9 a^2 z^2+12 z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} +21 z^2+a^3 z+a z-z a^{-1} -2 z a^{-3} -z a^{-5} -a^2- a^{-2} -1 }[/math] |
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