K13n1230
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Polynomial invariants
| Jones polynomial | Data:K13n1230/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -7 t^2+27 t-39+27 t^{-1} -7 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1230/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{-2} -3 z^4 a^{-4} -2 z^4 a^{-6} -2 z^2 a^{-2} -3 z^2 a^{-4} -z^2 a^{-6} +3 z^2 a^{-8} +2 z^2- a^{-2} - a^{-4} +2 a^{-8} - a^{-10} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^9 a^{-3} +z^9 a^{-5} +3 z^9 a^{-7} +4 z^9 a^{-9} +2 z^8 a^{-2} -3 z^8 a^{-4} -15 z^8 a^{-6} -7 z^8 a^{-8} +3 z^8 a^{-10} +z^7 a^{-1} -4 z^7 a^{-5} -18 z^7 a^{-7} -14 z^7 a^{-9} +z^7 a^{-11} -2 z^6 a^{-2} +7 z^6 a^{-4} +18 z^6 a^{-6} -3 z^6 a^{-8} -12 z^6 a^{-10} +z^5 a^{-1} -5 z^5 a^{-3} +z^5 a^{-5} +22 z^5 a^{-7} +11 z^5 a^{-9} -4 z^5 a^{-11} +4 z^4 a^{-2} -11 z^4 a^{-4} -13 z^4 a^{-6} +12 z^4 a^{-8} +13 z^4 a^{-10} +3 z^4-2 z^3 a^{-1} +11 z^3 a^{-3} +6 z^3 a^{-5} -12 z^3 a^{-7} -z^3 a^{-9} +4 z^3 a^{-11} -4 z^2 a^{-2} +10 z^2 a^{-4} +4 z^2 a^{-6} -9 z^2 a^{-8} -5 z^2 a^{-10} -6 z^2-z a^{-1} -5 z a^{-3} -4 z a^{-5} +z a^{-7} -z a^{-11} + a^{-2} - a^{-4} +2 a^{-8} + a^{-10} +2 }[/math] |
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