K13a2960
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Polynomial invariants
| Jones polynomial | Data:K13a2960/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+18 t^2-59 t+87-59 t^{-1} +18 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13a2960/Conway Polynomial |
| Determinant | 245 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^6-3 z^2 a^4-a^4+3 z^4 a^2+z^2 a^2+a^2-z^6+z^4-z^2-1-z^6 a^{-2} -2 z^2 a^{-2} +2 z^4 a^{-4} +z^2 a^{-4} + a^{-4} -z^2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12}+5 a z^{11}+12 z^{11} a^{-1} +7 z^{11} a^{-3} +6 a^2 z^{10}+11 z^{10} a^{-2} +10 z^{10} a^{-4} +7 z^{10}+6 a^3 z^9-7 a z^9-37 z^9 a^{-1} -16 z^9 a^{-3} +8 z^9 a^{-5} +5 a^4 z^8-6 a^2 z^8-56 z^8 a^{-2} -34 z^8 a^{-4} +4 z^8 a^{-6} -29 z^8+3 a^5 z^7-6 a^3 z^7+15 a z^7+55 z^7 a^{-1} +3 z^7 a^{-3} -27 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-8 a^4 z^6+3 a^2 z^6+89 z^6 a^{-2} +36 z^6 a^{-4} -13 z^6 a^{-6} +52 z^6-7 a^5 z^5-4 a^3 z^5-25 a z^5-44 z^5 a^{-1} +11 z^5 a^{-3} +24 z^5 a^{-5} -3 z^5 a^{-7} -3 a^6 z^4+a^4 z^4-7 a^2 z^4-58 z^4 a^{-2} -15 z^4 a^{-4} +9 z^4 a^{-6} -45 z^4+5 a^5 z^3+5 a^3 z^3+18 a z^3+24 z^3 a^{-1} -2 z^3 a^{-3} -7 z^3 a^{-5} +z^3 a^{-7} +3 a^6 z^2+3 a^4 z^2+5 a^2 z^2+14 z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} +16 z^2-a^5 z-a^3 z-6 a z-8 z a^{-1} -2 z a^{-3} -a^6-a^4-a^2+ a^{-4} -1 }[/math] |
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