K13n4017
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Polynomial invariants
| Jones polynomial | Data:K13n4017/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-36 t+49-36 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4017/Conway Polynomial |
| Determinant | 153 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+3 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -2 a^4 z^2+4 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +2 z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +6 a^2 z^{10}+7 z^{10} a^{-2} +13 z^{10}+4 a^3 z^9-4 a z^9+8 z^9 a^{-3} +a^4 z^8-24 a^2 z^8-19 z^8 a^{-2} +7 z^8 a^{-4} -51 z^8-10 a^3 z^7-7 a z^7-21 z^7 a^{-1} -20 z^7 a^{-3} +4 z^7 a^{-5} +4 a^4 z^6+48 a^2 z^6+18 z^6 a^{-2} -18 z^6 a^{-4} +z^6 a^{-6} +81 z^6+3 a^5 z^5+12 a^3 z^5+25 a z^5+38 z^5 a^{-1} +12 z^5 a^{-3} -10 z^5 a^{-5} -15 a^4 z^4-44 a^2 z^4-3 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} -44 z^4-7 a^5 z^3-11 a^3 z^3-13 a z^3-14 z^3 a^{-1} -z^3 a^{-3} +4 z^3 a^{-5} +8 a^4 z^2+15 a^2 z^2-4 z^2 a^{-2} -2 z^2 a^{-4} +5 z^2+2 a^5 z+3 a^3 z+a z-z a^{-1} -z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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