K13n1326
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Polynomial invariants
| Jones polynomial | Data:K13n1326/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+40 t-49+40 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1326/Conway Polynomial |
| Determinant | 187 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-4 a^2 z^6+2 z^6+2 a^4 z^4-6 a^2 z^4-z^4 a^{-2} +6 z^4+2 a^4 z^2-3 a^2 z^2-2 z^2 a^{-2} +6 z^2-a^6+a^4- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+7 a^4 z^{10}+13 a^2 z^{10}+6 z^{10}+8 a^5 z^9+16 a^3 z^9+15 a z^9+7 z^9 a^{-1} +3 a^6 z^8-10 a^4 z^8-22 a^2 z^8+4 z^8 a^{-2} -5 z^8-20 a^5 z^7-56 a^3 z^7-55 a z^7-18 z^7 a^{-1} +z^7 a^{-3} +3 a^4 z^6-8 a^2 z^6-12 z^6 a^{-2} -23 z^6+6 a^7 z^5+35 a^5 z^5+66 a^3 z^5+51 a z^5+11 z^5 a^{-1} -3 z^5 a^{-3} +a^8 z^4+5 a^6 z^4+9 a^4 z^4+22 a^2 z^4+12 z^4 a^{-2} +29 z^4-4 a^7 z^3-20 a^5 z^3-36 a^3 z^3-24 a z^3-z^3 a^{-1} +3 z^3 a^{-3} -a^8 z^2-4 a^6 z^2-5 a^4 z^2-10 a^2 z^2-5 z^2 a^{-2} -13 z^2-a^7 z+3 a^5 z+8 a^3 z+5 a z-z a^{-3} +a^6+a^4+ a^{-2} +2 }[/math] |
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