K13n3035
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Polynomial invariants
| Jones polynomial | Data:K13n3035/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-22 t^2+41 t-49+41 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3035/Conway Polynomial |
| Determinant | 191 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+3 a^2 z^6+3 a^6 z^4-12 a^4 z^4+11 a^2 z^4-2 z^4+4 a^6 z^2-14 a^4 z^2+14 a^2 z^2-4 z^2+2 a^6-6 a^4+6 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+6 a^6 z^{10}+11 a^4 z^{10}+5 a^2 z^{10}+9 a^7 z^9+11 a^5 z^9+6 a^3 z^9+4 a z^9+8 a^8 z^8-20 a^4 z^8-11 a^2 z^8+z^8+4 a^9 z^7-13 a^7 z^7-22 a^5 z^7-10 a^3 z^7-5 a z^7+a^{10} z^6-16 a^8 z^6-13 a^6 z^6+30 a^4 z^6+32 a^2 z^6+6 z^6-8 a^9 z^5+a^7 z^5+11 a^5 z^5+7 a^3 z^5+8 a z^5+3 z^5 a^{-1} -2 a^{10} z^4+10 a^8 z^4+3 a^6 z^4-41 a^4 z^4-47 a^2 z^4-15 z^4+5 a^9 z^3+2 a^7 z^3-6 a^5 z^3-6 a^3 z^3-8 a z^3-5 z^3 a^{-1} +a^{10} z^2-2 a^8 z^2+4 a^6 z^2+26 a^4 z^2+29 a^2 z^2+10 z^2-a^9 z+3 a^5 z+3 a^3 z+2 a z+z a^{-1} -2 a^6-6 a^4-6 a^2-1 }[/math] |
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