K13a2505
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Polynomial invariants
| Jones polynomial | Data:K13a2505/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+14 t^3-43 t^2+82 t-101+82 t^{-1} -43 t^{-2} +14 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2505/Conway Polynomial |
| Determinant | 383 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+2 z^6 a^6+5 z^4 a^6+6 z^2 a^6+3 a^6-z^8 a^4-2 z^6 a^4-z^4 a^4-a^4-z^8 a^2-3 z^6 a^2-4 z^4 a^2-z^2 a^2+a^2+z^6+2 z^4+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^6 z^{12}+3 a^4 z^{12}+9 a^7 z^{11}+20 a^5 z^{11}+11 a^3 z^{11}+12 a^8 z^{10}+24 a^6 z^{10}+30 a^4 z^{10}+18 a^2 z^{10}+9 a^9 z^9-a^7 z^9-21 a^5 z^9+7 a^3 z^9+18 a z^9+4 a^{10} z^8-24 a^8 z^8-66 a^6 z^8-72 a^4 z^8-22 a^2 z^8+12 z^8+a^{11} z^7-22 a^9 z^7-33 a^7 z^7-21 a^5 z^7-46 a^3 z^7-30 a z^7+5 z^7 a^{-1} -10 a^{10} z^6+16 a^8 z^6+58 a^6 z^6+52 a^4 z^6-a^2 z^6+z^6 a^{-2} -20 z^6-3 a^{11} z^5+20 a^9 z^5+39 a^7 z^5+31 a^5 z^5+39 a^3 z^5+17 a z^5-7 z^5 a^{-1} +8 a^{10} z^4-10 a^8 z^4-32 a^6 z^4-15 a^4 z^4+11 a^2 z^4-z^4 a^{-2} +11 z^4+3 a^{11} z^3-10 a^9 z^3-22 a^7 z^3-12 a^5 z^3-8 a^3 z^3-3 a z^3+2 z^3 a^{-1} -2 a^{10} z^2+7 a^8 z^2+13 a^6 z^2+4 a^4 z^2-2 a^2 z^2-2 z^2-a^{11} z+3 a^9 z+5 a^7 z+a^5 z-2 a^8-3 a^6-a^4-a^2 }[/math] |
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