K13n4264
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Polynomial invariants
| Jones polynomial | Data:K13n4264/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-20 t^2+38 t-45+38 t^{-1} -20 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4264/Conway Polynomial |
| Determinant | 175 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-5 a^2 z^6+z^6-a^6 z^4+6 a^4 z^4-11 a^2 z^4+2 z^4-a^6 z^2+6 a^4 z^2-10 a^2 z^2+z^2 a^{-2} +2 a^4-2 a^2+2 a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+5 a^4 z^{10}+7 a^2 z^{10}+2 z^{10}+11 a^5 z^9+16 a^3 z^9+6 a z^9+z^9 a^{-1} +14 a^6 z^8+11 a^4 z^8-5 a^2 z^8-2 z^8+11 a^7 z^7-8 a^5 z^7-39 a^3 z^7-19 a z^7+z^7 a^{-1} +5 a^8 z^6-19 a^6 z^6-40 a^4 z^6-18 a^2 z^6+3 z^6 a^{-2} +z^6+a^9 z^5-14 a^7 z^5-10 a^5 z^5+34 a^3 z^5+22 a z^5-7 z^5 a^{-1} -4 a^8 z^4+4 a^6 z^4+35 a^4 z^4+30 a^2 z^4-10 z^4 a^{-2} -7 z^4+3 a^7 z^3+7 a^5 z^3-15 a^3 z^3-15 a z^3+4 z^3 a^{-1} +a^6 z^2-12 a^4 z^2-16 a^2 z^2+9 z^2 a^{-2} +6 z^2+4 a^3 z+4 a z+2 a^4+2 a^2-2 a^{-2} -1 }[/math] |
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