K13a1053
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Polynomial invariants
| Jones polynomial | Data:K13a1053/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+10 t^3-41 t^2+88 t-111+88 t^{-1} -41 t^{-2} +10 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13a1053/Conway Polynomial |
| Determinant | 391 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-4 z^2 a^6-2 a^6+3 z^6 a^4+6 z^4 a^4+5 z^2 a^4+2 a^4-z^8 a^2-3 z^6 a^2-7 z^4 a^2-7 z^2 a^2-2 a^2+2 z^6+4 z^4+4 z^2+2-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^4 z^{12}+3 a^2 z^{12}+11 a^5 z^{11}+21 a^3 z^{11}+10 a z^{11}+18 a^6 z^{10}+33 a^4 z^{10}+29 a^2 z^{10}+14 z^{10}+17 a^7 z^9+9 a^5 z^9-18 a^3 z^9+a z^9+11 z^9 a^{-1} +10 a^8 z^8-27 a^6 z^8-85 a^4 z^8-79 a^2 z^8+5 z^8 a^{-2} -26 z^8+4 a^9 z^7-34 a^7 z^7-64 a^5 z^7-44 a^3 z^7-45 a z^7-26 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-17 a^8 z^6+11 a^6 z^6+67 a^4 z^6+56 a^2 z^6-12 z^6 a^{-2} +6 z^6-6 a^9 z^5+37 a^7 z^5+83 a^5 z^5+64 a^3 z^5+45 a z^5+19 z^5 a^{-1} -2 z^5 a^{-3} -2 a^{10} z^4+13 a^8 z^4+9 a^6 z^4-13 a^4 z^4-7 a^2 z^4+9 z^4 a^{-2} +9 z^4+2 a^9 z^3-24 a^7 z^3-45 a^5 z^3-28 a^3 z^3-15 a z^3-5 z^3 a^{-1} +z^3 a^{-3} +a^{10} z^2-6 a^8 z^2-10 a^6 z^2-5 a^4 z^2-7 a^2 z^2-2 z^2 a^{-2} -7 z^2+5 a^7 z+9 a^5 z+5 a^3 z+a z+a^8+2 a^6+2 a^4+2 a^2+2 }[/math] |
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