K13a4148
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Polynomial invariants
| Jones polynomial | Data:K13a4148/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+15 t^3-48 t^2+89 t-107+89 t^{-1} -48 t^{-2} +15 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a4148/Conway Polynomial |
| Determinant | 415 |
| Signature | -2 |
| 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} -2 z^6-a^6 z^4+4 a^4 z^4-2 a^2 z^4+z^4 a^{-2} -a^6 z^2+2 a^4 z^2-2 a^2 z^2-z^2 a^{-2} +2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 6 a^2 z^{12}+6 z^{12}+20 a^3 z^{11}+35 a z^{11}+15 z^{11} a^{-1} +31 a^4 z^{10}+38 a^2 z^{10}+14 z^{10} a^{-2} +21 z^{10}+31 a^5 z^9-14 a^3 z^9-88 a z^9-37 z^9 a^{-1} +6 z^9 a^{-3} +23 a^6 z^8-56 a^4 z^8-152 a^2 z^8-45 z^8 a^{-2} +z^8 a^{-4} -119 z^8+13 a^7 z^7-52 a^5 z^7-60 a^3 z^7+29 a z^7+7 z^7 a^{-1} -17 z^7 a^{-3} +5 a^8 z^6-29 a^6 z^6+25 a^4 z^6+152 a^2 z^6+42 z^6 a^{-2} -2 z^6 a^{-4} +137 z^6+a^9 z^5-11 a^7 z^5+29 a^5 z^5+76 a^3 z^5+48 a z^5+26 z^5 a^{-1} +13 z^5 a^{-3} -2 a^8 z^4+11 a^6 z^4-49 a^2 z^4-11 z^4 a^{-2} +z^4 a^{-4} -48 z^4+2 a^7 z^3-8 a^5 z^3-27 a^3 z^3-29 a z^3-14 z^3 a^{-1} -2 z^3 a^{-3} -2 a^6 z^2-a^4 z^2+3 a^2 z^2-z^2 a^{-2} +z^2+a^5 z+3 a^3 z+3 a z+z a^{-1} +1 }[/math] |
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