K13a1054
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Polynomial invariants
| Jones polynomial | Data:K13a1054/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+11 t^3-46 t^2+101 t-129+101 t^{-1} -46 t^{-2} +11 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13a1054/Conway Polynomial |
| Determinant | 447 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-3 z^4 a^6-2 z^2 a^6+3 z^6 a^4+4 z^4 a^4+z^2 a^4-z^8 a^2-2 z^6 a^2-3 z^4 a^2-z^2 a^2+2 z^6+3 z^4+2 z^2+1-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^4 z^{12}+3 a^2 z^{12}+13 a^5 z^{11}+24 a^3 z^{11}+11 a z^{11}+23 a^6 z^{10}+48 a^4 z^{10}+41 a^2 z^{10}+16 z^{10}+22 a^7 z^9+23 a^5 z^9+11 a z^9+12 z^9 a^{-1} +13 a^8 z^8-27 a^6 z^8-109 a^4 z^8-101 a^2 z^8+5 z^8 a^{-2} -27 z^8+5 a^9 z^7-37 a^7 z^7-98 a^5 z^7-103 a^3 z^7-75 a z^7-27 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-19 a^8 z^6+68 a^4 z^6+65 a^2 z^6-11 z^6 a^{-2} +6 z^6-6 a^9 z^5+29 a^7 z^5+95 a^5 z^5+112 a^3 z^5+77 a z^5+23 z^5 a^{-1} -2 z^5 a^{-3} -a^{10} z^4+12 a^8 z^4+12 a^6 z^4-13 a^4 z^4-12 a^2 z^4+9 z^4 a^{-2} +9 z^4+2 a^9 z^3-11 a^7 z^3-36 a^5 z^3-42 a^3 z^3-29 a z^3-9 z^3 a^{-1} +z^3 a^{-3} -3 a^8 z^2-5 a^6 z^2-3 z^2 a^{-2} -5 z^2+a^7 z+4 a^5 z+6 a^3 z+4 a z+z a^{-1} +1 }[/math] |
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