K13a4282
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Polynomial invariants
| Jones polynomial | Data:K13a4282/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-13 t^3+36 t^2-62 t+75-62 t^{-1} +36 t^{-2} -13 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a4282/Conway Polynomial |
| Determinant | 301 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-2 a^4 z^6+3 a^2 z^6-z^6 a^{-2} +3 z^6+a^6 z^4-6 a^4 z^4+3 a^2 z^4-2 z^4 a^{-2} +2 z^4+2 a^6 z^2-5 a^4 z^2+a^2 z^2-z^2+a^6-a^4+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^4 z^{12}+3 a^2 z^{12}+8 a^5 z^{11}+18 a^3 z^{11}+10 a z^{11}+8 a^6 z^{10}+10 a^4 z^{10}+19 a^2 z^{10}+17 z^{10}+4 a^7 z^9-26 a^5 z^9-54 a^3 z^9-3 a z^9+21 z^9 a^{-1} +a^8 z^8-33 a^6 z^8-71 a^4 z^8-77 a^2 z^8+19 z^8 a^{-2} -21 z^8-16 a^7 z^7+20 a^5 z^7+48 a^3 z^7-31 a z^7-31 z^7 a^{-1} +12 z^7 a^{-3} -4 a^8 z^6+44 a^6 z^6+113 a^4 z^6+91 a^2 z^6-26 z^6 a^{-2} +5 z^6 a^{-4} -5 z^6+18 a^7 z^5+a^5 z^5-11 a^3 z^5+29 a z^5+10 z^5 a^{-1} -12 z^5 a^{-3} +z^5 a^{-5} +4 a^8 z^4-27 a^6 z^4-74 a^4 z^4-47 a^2 z^4+9 z^4 a^{-2} -3 z^4 a^{-4} +8 z^4-7 a^7 z^3-3 a^5 z^3-3 a^3 z^3-8 a z^3+z^3 a^{-1} +2 z^3 a^{-3} -a^8 z^2+10 a^6 z^2+19 a^4 z^2+8 a^2 z^2+z^2 a^{-2} +z^2+a^7 z+a z-a^6-a^4- a^{-2} }[/math] |
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