K13n3464
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Polynomial invariants
| Jones polynomial | Data:K13n3464/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-19 t^2+37 t-45+37 t^{-1} -19 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3464/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-5 a^2 z^6+2 z^6+3 a^4 z^4-11 a^2 z^4-z^4 a^{-2} +6 z^4+4 a^4 z^2-10 a^2 z^2-z^2 a^{-2} +6 z^2+a^4-2 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+12 a^2 z^{10}+7 z^{10}+4 a^5 z^9+9 a^3 z^9+14 a z^9+9 z^9 a^{-1} +a^6 z^8-9 a^4 z^8-25 a^2 z^8+5 z^8 a^{-2} -10 z^8-7 a^5 z^7-35 a^3 z^7-55 a z^7-26 z^7 a^{-1} +z^7 a^{-3} +4 a^6 z^6+10 a^4 z^6+3 a^2 z^6-14 z^6 a^{-2} -17 z^6+4 a^7 z^5+15 a^5 z^5+40 a^3 z^5+49 a z^5+18 z^5 a^{-1} -2 z^5 a^{-3} +a^8 z^4-2 a^6 z^4+16 a^2 z^4+10 z^4 a^{-2} +23 z^4-4 a^7 z^3-8 a^5 z^3-17 a^3 z^3-16 a z^3-2 z^3 a^{-1} +z^3 a^{-3} -a^8 z^2+a^6 z^2-3 a^4 z^2-13 a^2 z^2-z^2 a^{-2} -9 z^2+a^7 z+2 a^5 z+2 a^3 z+a z+a^4+2 a^2+2 }[/math] |
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