K13n1973
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Polynomial invariants
| Jones polynomial | Data:K13n1973/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-3 t^3+5 t-7+5 t^{-1} -3 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n1973/Conway Polynomial |
| Determinant | 3 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -30 z^6 a^{-8} +8 z^6 a^{-10} +22 z^4 a^{-6} -49 z^4 a^{-8} +20 z^4 a^{-10} -z^4 a^{-12} +25 z^2 a^{-6} -42 z^2 a^{-8} +20 z^2 a^{-10} -2 z^2 a^{-12} +10 a^{-6} -16 a^{-8} +8 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} -7 z^9 a^{-7} -4 z^9 a^{-9} +3 z^9 a^{-11} -9 z^8 a^{-6} -33 z^8 a^{-8} -23 z^8 a^{-10} +z^8 a^{-12} +13 z^7 a^{-7} -11 z^7 a^{-9} -23 z^7 a^{-11} +z^7 a^{-13} +30 z^6 a^{-6} +93 z^6 a^{-8} +54 z^6 a^{-10} -7 z^6 a^{-12} +2 z^6 a^{-14} +2 z^5 a^{-7} +59 z^5 a^{-9} +51 z^5 a^{-11} -4 z^5 a^{-13} +2 z^5 a^{-15} -47 z^4 a^{-6} -114 z^4 a^{-8} -50 z^4 a^{-10} +11 z^4 a^{-12} -5 z^4 a^{-14} +z^4 a^{-16} -23 z^3 a^{-7} -71 z^3 a^{-9} -39 z^3 a^{-11} +5 z^3 a^{-13} -4 z^3 a^{-15} +35 z^2 a^{-6} +64 z^2 a^{-8} +24 z^2 a^{-10} -z^2 a^{-12} +2 z^2 a^{-14} -2 z^2 a^{-16} +14 z a^{-7} +26 z a^{-9} +11 z a^{-11} -z a^{-13} -10 a^{-6} -16 a^{-8} -8 a^{-10} - a^{-12} }[/math] |
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