K13n1430
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Polynomial invariants
| Jones polynomial | Data:K13n1430/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-7 t^2+8 t-7+8 t^{-1} -7 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1430/Conway Polynomial |
| Determinant | 47 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+2 a^2 z^6+z^6 a^{-2} -7 z^6-a^4 z^4+11 a^2 z^4+5 z^4 a^{-2} -18 z^4-4 a^4 z^2+18 a^2 z^2+7 z^2 a^{-2} -21 z^2-3 a^4+9 a^2+3 a^{-2} -8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +4 z^{10}+a^3 z^9-4 a z^9-3 z^9 a^{-1} +2 z^9 a^{-3} -13 a^2 z^8-11 z^8 a^{-2} +z^8 a^{-4} -25 z^8-4 a^3 z^7+2 a z^7-6 z^7 a^{-1} -12 z^7 a^{-3} +3 a^4 z^6+36 a^2 z^6+18 z^6 a^{-2} -6 z^6 a^{-4} +57 z^6+2 a^5 z^5+8 a^3 z^5+9 a z^5+25 z^5 a^{-1} +22 z^5 a^{-3} +2 a^6 z^4-7 a^4 z^4-52 a^2 z^4-13 z^4 a^{-2} +10 z^4 a^{-4} -66 z^4+a^7 z^3-a^5 z^3-8 a^3 z^3-18 a z^3-27 z^3 a^{-1} -15 z^3 a^{-3} -2 a^6 z^2+8 a^4 z^2+35 a^2 z^2+8 z^2 a^{-2} -4 z^2 a^{-4} +37 z^2-a^7 z+4 a^3 z+8 a z+9 z a^{-1} +4 z a^{-3} -3 a^4-9 a^2-3 a^{-2} -8 }[/math] |
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