K13a4217
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Polynomial invariants
| Jones polynomial | Data:K13a4217/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 13 t^3-52 t^2+103 t-127+103 t^{-1} -52 t^{-2} +13 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4217/Conway Polynomial |
| Determinant | 463 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +5 z^6 a^{-8} +6 z^6 a^{-10} +z^6 a^{-12} +z^4 a^{-6} +13 z^4 a^{-8} +17 z^4 a^{-10} -4 z^4 a^{-12} -z^4 a^{-14} +9 z^2 a^{-8} +16 z^2 a^{-10} -13 z^2 a^{-12} + a^{-8} +6 a^{-10} -8 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{12} a^{-12} +5 z^{12} a^{-14} +18 z^{11} a^{-11} +32 z^{11} a^{-13} +14 z^{11} a^{-15} +29 z^{10} a^{-10} +45 z^{10} a^{-12} +33 z^{10} a^{-14} +17 z^{10} a^{-16} +26 z^9 a^{-9} +3 z^9 a^{-11} -44 z^9 a^{-13} -9 z^9 a^{-15} +12 z^9 a^{-17} +15 z^8 a^{-8} -49 z^8 a^{-10} -125 z^8 a^{-12} -101 z^8 a^{-14} -35 z^8 a^{-16} +5 z^8 a^{-18} +5 z^7 a^{-7} -45 z^7 a^{-9} -67 z^7 a^{-11} -21 z^7 a^{-13} -33 z^7 a^{-15} -28 z^7 a^{-17} +z^7 a^{-19} +z^6 a^{-6} -23 z^6 a^{-8} +36 z^6 a^{-10} +119 z^6 a^{-12} +93 z^6 a^{-14} +23 z^6 a^{-16} -11 z^6 a^{-18} -4 z^5 a^{-7} +30 z^5 a^{-9} +74 z^5 a^{-11} +59 z^5 a^{-13} +44 z^5 a^{-15} +23 z^5 a^{-17} -2 z^5 a^{-19} -z^4 a^{-6} +18 z^4 a^{-8} -29 z^4 a^{-10} -72 z^4 a^{-12} -38 z^4 a^{-14} -7 z^4 a^{-16} +7 z^4 a^{-18} -8 z^3 a^{-9} -38 z^3 a^{-11} -39 z^3 a^{-13} -19 z^3 a^{-15} -9 z^3 a^{-17} +z^3 a^{-19} -9 z^2 a^{-8} +21 z^2 a^{-10} +35 z^2 a^{-12} +8 z^2 a^{-14} +2 z^2 a^{-16} -z^2 a^{-18} +10 z a^{-11} +10 z a^{-13} +2 z a^{-15} +2 z a^{-17} + a^{-8} -6 a^{-10} -8 a^{-12} -2 a^{-14} }[/math] |
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