K13a4384
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Polynomial invariants
| Jones polynomial | Data:K13a4384/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^4+15 t^3-27 t^2+32 t-33+32 t^{-1} -27 t^{-2} +15 t^{-3} -3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a4384/Conway Polynomial |
| Determinant | 187 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-4 z^2 a^{12}-3 a^{12}+3 z^6 a^{10}+13 z^4 a^{10}+14 z^2 a^{10}+4 a^{10}-2 z^8 a^8-10 z^6 a^8-15 z^4 a^8-9 z^2 a^8-2 a^8-z^8 a^6-3 z^6 a^6+2 z^4 a^6+7 z^2 a^6+2 a^6+z^6 a^4+4 z^4 a^4+3 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-2 z^3 a^{17}+z a^{17}+3 z^6 a^{16}-4 z^4 a^{16}+z^2 a^{16}+6 z^7 a^{15}-10 z^5 a^{15}+8 z^3 a^{15}-4 z a^{15}+7 z^8 a^{14}-8 z^6 a^{14}+z^4 a^{14}+z^2 a^{14}+7 z^9 a^{13}-8 z^7 a^{13}+z^5 a^{13}+z^3 a^{13}+7 z^{10} a^{12}-16 z^8 a^{12}+25 z^6 a^{12}-30 z^4 a^{12}+19 z^2 a^{12}-3 a^{12}+5 z^{11} a^{11}-10 z^9 a^{11}+3 z^7 a^{11}+12 z^5 a^{11}-14 z^3 a^{11}+4 z a^{11}+2 z^{12} a^{10}+3 z^{10} a^{10}-30 z^8 a^{10}+55 z^6 a^{10}-46 z^4 a^{10}+19 z^2 a^{10}-4 a^{10}+10 z^{11} a^9-41 z^9 a^9+59 z^7 a^9-40 z^5 a^9+13 z^3 a^9-2 z a^9+2 z^{12} a^8+z^{10} a^8-31 z^8 a^8+57 z^6 a^8-42 z^4 a^8+14 z^2 a^8-2 a^8+5 z^{11} a^7-21 z^9 a^7+28 z^7 a^7-22 z^5 a^7+11 z^3 a^7-z a^7+5 z^{10} a^6-23 z^8 a^6+33 z^6 a^6-24 z^4 a^6+11 z^2 a^6-2 a^6+3 z^9 a^5-14 z^7 a^5+18 z^5 a^5-7 z^3 a^5+z^8 a^4-5 z^6 a^4+7 z^4 a^4-3 z^2 a^4 }[/math] |
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