K13n3020
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Polynomial invariants
| Jones polynomial | Data:K13n3020/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-17 t^2+27 t-31+27 t^{-1} -17 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3020/Conway Polynomial |
| Determinant | 135 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -5 z^6 a^{-6} +3 z^6 a^{-8} +4 z^4 a^{-4} -9 z^4 a^{-6} +12 z^4 a^{-8} -2 z^4 a^{-10} +5 z^2 a^{-4} -7 z^2 a^{-6} +13 z^2 a^{-8} -5 z^2 a^{-10} +2 a^{-4} -2 a^{-6} +3 a^{-8} -2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +7 z^{10} a^{-8} +4 z^{10} a^{-10} +3 z^9 a^{-5} +7 z^9 a^{-7} +11 z^9 a^{-9} +7 z^9 a^{-11} +z^8 a^{-4} -8 z^8 a^{-6} -13 z^8 a^{-8} +3 z^8 a^{-10} +7 z^8 a^{-12} -14 z^7 a^{-5} -38 z^7 a^{-7} -36 z^7 a^{-9} -8 z^7 a^{-11} +4 z^7 a^{-13} -5 z^6 a^{-4} -5 z^6 a^{-6} -20 z^6 a^{-8} -29 z^6 a^{-10} -8 z^6 a^{-12} +z^6 a^{-14} +21 z^5 a^{-5} +46 z^5 a^{-7} +18 z^5 a^{-9} -6 z^5 a^{-11} +z^5 a^{-13} +9 z^4 a^{-4} +25 z^4 a^{-6} +44 z^4 a^{-8} +25 z^4 a^{-10} +3 z^4 a^{-12} +6 z^4 a^{-14} -10 z^3 a^{-5} -15 z^3 a^{-7} +5 z^3 a^{-9} +6 z^3 a^{-11} -z^3 a^{-13} +3 z^3 a^{-15} -7 z^2 a^{-4} -16 z^2 a^{-6} -22 z^2 a^{-8} -11 z^2 a^{-10} -z^2 a^{-12} -3 z^2 a^{-14} +z a^{-7} -2 z a^{-9} -2 z a^{-11} -z a^{-15} +2 a^{-4} +2 a^{-6} +3 a^{-8} +2 a^{-10} }[/math] |
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