K13n863
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Polynomial invariants
| Jones polynomial | Data:K13n863/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t-1+ t^{-1} }[/math] |
| Conway polynomial | Data:K13n863/Conway Polynomial |
| Determinant | 3 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^2 z^8+a^6 z^6-8 a^4 z^6+8 a^2 z^6-z^6+5 a^6 z^4-23 a^4 z^4+23 a^2 z^4-5 z^4+8 a^6 z^2-28 a^4 z^2+29 a^2 z^2-8 z^2+4 a^6-13 a^4+14 a^2-4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^6 z^{10}+3 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+2 a^7 z^9+4 a^5 z^9-3 a^3 z^9-4 a z^9+z^9 a^{-1} +2 a^8 z^8-5 a^6 z^8-22 a^4 z^8-29 a^2 z^8-14 z^8+2 a^9 z^7-11 a^7 z^7-30 a^5 z^7-16 a^3 z^7-6 a z^7-7 z^7 a^{-1} +a^{10} z^6-8 a^8 z^6+4 a^6 z^6+48 a^4 z^6+67 a^2 z^6+32 z^6-8 a^9 z^5+19 a^7 z^5+66 a^5 z^5+58 a^3 z^5+35 a z^5+16 z^5 a^{-1} -4 a^{10} z^4+6 a^8 z^4-50 a^4 z^4-71 a^2 z^4-31 z^4+6 a^9 z^3-18 a^7 z^3-59 a^5 z^3-60 a^3 z^3-39 a z^3-14 z^3 a^{-1} +3 a^{10} z^2-2 a^8 z^2+3 a^6 z^2+36 a^4 z^2+43 a^2 z^2+15 z^2-a^9 z+6 a^7 z+21 a^5 z+23 a^3 z+13 a z+4 z a^{-1} -4 a^6-13 a^4-14 a^2-4 }[/math] |
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