K13a3167
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Polynomial invariants
| Jones polynomial | Data:K13a3167/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+6 t^4-19 t^3+40 t^2-59 t+67-59 t^{-1} +40 t^{-2} -19 t^{-3} +6 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a3167/Conway Polynomial |
| Determinant | 317 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -7 z^8 a^{-4} +2 z^8 a^{-6} +5 z^6 a^{-2} -21 z^6 a^{-4} +11 z^6 a^{-6} -z^6 a^{-8} +10 z^4 a^{-2} -33 z^4 a^{-4} +23 z^4 a^{-6} -4 z^4 a^{-8} +10 z^2 a^{-2} -25 z^2 a^{-4} +21 z^2 a^{-6} -5 z^2 a^{-8} +4 a^{-2} -7 a^{-4} +6 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-4} +2 z^{12} a^{-6} +7 z^{11} a^{-3} +16 z^{11} a^{-5} +9 z^{11} a^{-7} +8 z^{10} a^{-2} +22 z^{10} a^{-4} +31 z^{10} a^{-6} +17 z^{10} a^{-8} +4 z^9 a^{-1} -11 z^9 a^{-3} -22 z^9 a^{-5} +12 z^9 a^{-7} +19 z^9 a^{-9} -29 z^8 a^{-2} -96 z^8 a^{-4} -103 z^8 a^{-6} -22 z^8 a^{-8} +15 z^8 a^{-10} +z^8-15 z^7 a^{-1} -22 z^7 a^{-3} -46 z^7 a^{-5} -79 z^7 a^{-7} -31 z^7 a^{-9} +9 z^7 a^{-11} +37 z^6 a^{-2} +129 z^6 a^{-4} +110 z^6 a^{-6} -3 z^6 a^{-8} -21 z^6 a^{-10} +4 z^6 a^{-12} -4 z^6+19 z^5 a^{-1} +48 z^5 a^{-3} +88 z^5 a^{-5} +91 z^5 a^{-7} +21 z^5 a^{-9} -10 z^5 a^{-11} +z^5 a^{-13} -25 z^4 a^{-2} -91 z^4 a^{-4} -68 z^4 a^{-6} +11 z^4 a^{-8} +14 z^4 a^{-10} -4 z^4 a^{-12} +5 z^4-10 z^3 a^{-1} -29 z^3 a^{-3} -51 z^3 a^{-5} -43 z^3 a^{-7} -5 z^3 a^{-9} +5 z^3 a^{-11} -z^3 a^{-13} +13 z^2 a^{-2} +39 z^2 a^{-4} +29 z^2 a^{-6} +z^2 a^{-8} -3 z^2 a^{-10} +z^2 a^{-12} -2 z^2+2 z a^{-1} +7 z a^{-3} +10 z a^{-5} +7 z a^{-7} +z a^{-9} -z a^{-11} -4 a^{-2} -7 a^{-4} -6 a^{-6} -2 a^{-8} }[/math] |
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