K13n310
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Polynomial invariants
| Jones polynomial | Data:K13n310/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-25 t+29-25 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n310/Conway Polynomial |
| Determinant | 125 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -8 z^4 a^{-2} +10 z^4 a^{-4} -3 z^4 a^{-6} +z^4-10 z^2 a^{-2} +11 z^2 a^{-4} -3 z^2 a^{-6} +3 z^2-4 a^{-2} +5 a^{-4} -2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +7 z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^9 a^{-1} +8 z^9 a^{-3} +11 z^9 a^{-5} +6 z^9 a^{-7} -7 z^8 a^{-2} -13 z^8 a^{-4} -z^8 a^{-6} +4 z^8 a^{-8} +z^8-14 z^7 a^{-1} -44 z^7 a^{-3} -43 z^7 a^{-5} -12 z^7 a^{-7} +z^7 a^{-9} -10 z^6 a^{-2} -23 z^6 a^{-4} -22 z^6 a^{-6} -4 z^6 a^{-8} -5 z^6+22 z^5 a^{-1} +57 z^5 a^{-3} +38 z^5 a^{-5} +8 z^5 a^{-7} +5 z^5 a^{-9} +33 z^4 a^{-2} +48 z^4 a^{-4} +23 z^4 a^{-6} +3 z^4 a^{-8} +4 z^4 a^{-10} +9 z^4-13 z^3 a^{-1} -25 z^3 a^{-3} -13 z^3 a^{-5} -5 z^3 a^{-7} -3 z^3 a^{-9} +z^3 a^{-11} -22 z^2 a^{-2} -25 z^2 a^{-4} -10 z^2 a^{-6} -z^2 a^{-8} -z^2 a^{-10} -7 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} +z a^{-7} +z a^{-9} +4 a^{-2} +5 a^{-4} +2 a^{-6} +2 }[/math] |
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