K13a1633
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Polynomial invariants
| Jones polynomial | Data:K13a1633/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-14 t^3+40 t^2-69 t+83-69 t^{-1} +40 t^{-2} -14 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1633/Conway Polynomial |
| Determinant | 333 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-2 a^4 z^6+2 a^2 z^6-z^6 a^{-2} +3 z^6+a^6 z^4-5 a^4 z^4-a^2 z^4-2 z^4 a^{-2} +3 z^4+2 a^6 z^2-3 a^4 z^2-3 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}+20 a^3 z^{11}+12 a z^{11}+8 a^6 z^{10}+16 a^4 z^{10}+30 a^2 z^{10}+22 z^{10}+4 a^7 z^9-19 a^5 z^9-46 a^3 z^9+2 a z^9+25 z^9 a^{-1} +a^8 z^8-29 a^6 z^8-85 a^4 z^8-111 a^2 z^8+20 z^8 a^{-2} -36 z^8-15 a^7 z^7-a^5 z^7+3 a^3 z^7-66 a z^7-43 z^7 a^{-1} +12 z^7 a^{-3} -4 a^8 z^6+35 a^6 z^6+117 a^4 z^6+119 a^2 z^6-26 z^6 a^{-2} +5 z^6 a^{-4} +10 z^6+18 a^7 z^5+22 a^5 z^5+45 a^3 z^5+77 a z^5+24 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} +5 a^8 z^4-22 a^6 z^4-70 a^4 z^4-48 a^2 z^4+7 z^4 a^{-2} -3 z^4 a^{-4} +5 z^4-9 a^7 z^3-14 a^5 z^3-27 a^3 z^3-27 a z^3-4 z^3 a^{-1} +z^3 a^{-3} -2 a^8 z^2+9 a^6 z^2+17 a^4 z^2+4 a^2 z^2+2 z^2 a^{-2} +2 a^7 z+3 a^5 z+3 a^3 z+2 a z-a^6-a^4- a^{-2} }[/math] |
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