K13n3728
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Polynomial invariants
| Jones polynomial | Data:K13n3728/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-14 t^2+22 t-25+22 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3728/Conway Polynomial |
| Determinant | 111 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+2 a^2 z^6+3 a^6 z^4-8 a^4 z^4+8 a^2 z^4-z^4+a^6 z^2-3 a^4 z^2+9 a^2 z^2-3 z^2-2 a^6+2 a^4+2 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+8 a^4 z^{10}+3 a^2 z^{10}+6 a^7 z^9-2 a^5 z^9-7 a^3 z^9+a z^9+6 a^8 z^8-16 a^6 z^8-38 a^4 z^8-16 a^2 z^8+4 a^9 z^7-15 a^7 z^7-9 a^5 z^7+8 a^3 z^7-2 a z^7+a^{10} z^6-16 a^8 z^6+20 a^6 z^6+73 a^4 z^6+39 a^2 z^6+3 z^6-11 a^9 z^5+6 a^7 z^5+22 a^5 z^5+7 a^3 z^5+3 a z^5+z^5 a^{-1} -2 a^{10} z^4+8 a^8 z^4-9 a^6 z^4-50 a^4 z^4-40 a^2 z^4-9 z^4+5 a^9 z^3+3 a^7 z^3-7 a^5 z^3-7 a^3 z^3-5 a z^3-3 z^3 a^{-1} -a^8 z^2-3 a^6 z^2+9 a^4 z^2+17 a^2 z^2+6 z^2+a^9 z-2 a^7 z-3 a^5 z+a^3 z+2 a z+z a^{-1} +2 a^6+2 a^4-2 a^2-1 }[/math] |
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