K13a1031
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Polynomial invariants
| Jones polynomial | Data:K13a1031/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^4+16 t^3-39 t^2+63 t-73+63 t^{-1} -39 t^{-2} +16 t^{-3} -3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1031/Conway Polynomial |
| Determinant | 315 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -2 z^8 a^{-8} +z^6 a^{-4} -3 z^6 a^{-6} -9 z^6 a^{-8} +3 z^6 a^{-10} +4 z^4 a^{-4} -z^4 a^{-6} -15 z^4 a^{-8} +10 z^4 a^{-10} -z^4 a^{-12} +5 z^2 a^{-4} +3 z^2 a^{-6} -13 z^2 a^{-8} +10 z^2 a^{-10} -2 z^2 a^{-12} +2 a^{-4} +2 a^{-6} -6 a^{-8} +4 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-8} +2 z^{12} a^{-10} +5 z^{11} a^{-7} +14 z^{11} a^{-9} +9 z^{11} a^{-11} +5 z^{10} a^{-6} +12 z^{10} a^{-8} +26 z^{10} a^{-10} +19 z^{10} a^{-12} +3 z^9 a^{-5} -9 z^9 a^{-7} -24 z^9 a^{-9} +13 z^9 a^{-11} +25 z^9 a^{-13} +z^8 a^{-4} -16 z^8 a^{-6} -54 z^8 a^{-8} -78 z^8 a^{-10} -19 z^8 a^{-12} +22 z^8 a^{-14} -12 z^7 a^{-5} -7 z^7 a^{-7} -11 z^7 a^{-9} -68 z^7 a^{-11} -39 z^7 a^{-13} +13 z^7 a^{-15} -5 z^6 a^{-4} +14 z^6 a^{-6} +72 z^6 a^{-8} +76 z^6 a^{-10} -13 z^6 a^{-12} -31 z^6 a^{-14} +5 z^6 a^{-16} +15 z^5 a^{-5} +19 z^5 a^{-7} +36 z^5 a^{-9} +65 z^5 a^{-11} +20 z^5 a^{-13} -12 z^5 a^{-15} +z^5 a^{-17} +9 z^4 a^{-4} -3 z^4 a^{-6} -53 z^4 a^{-8} -46 z^4 a^{-10} +12 z^4 a^{-12} +15 z^4 a^{-14} -2 z^4 a^{-16} -5 z^3 a^{-5} -11 z^3 a^{-7} -27 z^3 a^{-9} -30 z^3 a^{-11} -6 z^3 a^{-13} +3 z^3 a^{-15} -7 z^2 a^{-4} +3 z^2 a^{-6} +26 z^2 a^{-8} +18 z^2 a^{-10} -2 z^2 a^{-14} -z a^{-5} +4 z a^{-7} +10 z a^{-9} +7 z a^{-11} +2 z a^{-13} +2 a^{-4} -2 a^{-6} -6 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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