K13n1285
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Polynomial invariants
| Jones polynomial | Data:K13n1285/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-15 t^2+30 t-37+30 t^{-1} -15 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1285/Conway Polynomial |
| Determinant | 135 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+2 a^{10}-3 z^4 a^8-9 z^2 a^8-7 a^8+2 z^6 a^6+7 z^4 a^6+9 z^2 a^6+4 a^6+2 z^6 a^4+7 z^4 a^4+9 z^2 a^4+4 a^4-2 z^4 a^2-4 z^2 a^2-2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+8 z^4 a^{12}-4 z^2 a^{12}+3 z^9 a^{11}-15 z^7 a^{11}+26 z^5 a^{11}-19 z^3 a^{11}+6 z a^{11}+3 z^{10} a^{10}-9 z^8 a^{10}+15 z^4 a^{10}-6 z^2 a^{10}-2 a^{10}+z^{11} a^9+8 z^9 a^9-49 z^7 a^9+83 z^5 a^9-64 z^3 a^9+23 z a^9+8 z^{10} a^8-22 z^8 a^8+8 z^6 a^8+4 z^4 a^8+6 z^2 a^8-7 a^8+z^{11} a^7+14 z^9 a^7-60 z^7 a^7+83 z^5 a^7-66 z^3 a^7+23 z a^7+5 z^{10} a^6-3 z^8 a^6-18 z^6 a^6+15 z^4 a^6-z^2 a^6-4 a^6+9 z^9 a^5-21 z^7 a^5+21 z^5 a^5-16 z^3 a^5+5 z a^5+9 z^8 a^4-20 z^6 a^4+24 z^4 a^4-14 z^2 a^4+4 a^4+5 z^7 a^3-5 z^5 a^3+8 z^3 a^3-3 z a^3+z^6 a^2+6 z^4 a^2-5 z^2 a^2+2 a^2+3 z^3 a-2 z a }[/math] |
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