K13n2407
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Polynomial invariants
| Jones polynomial | Data:K13n2407/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-7 t^3+15 t^2-22 t+25-22 t^{-1} +15 t^{-2} -7 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2407/Conway Polynomial |
| Determinant | 117 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +5 z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-2} +8 z^4 a^{-4} +15 z^4 a^{-6} -6 z^4 a^{-8} -4 z^2 a^{-2} +3 z^2 a^{-4} +20 z^2 a^{-6} -13 z^2 a^{-8} +z^2 a^{-10} -3 a^{-4} +12 a^{-6} -10 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +3 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^{10} a^{-8} +4 z^9 a^{-3} +6 z^9 a^{-5} +7 z^9 a^{-7} +5 z^9 a^{-9} +3 z^8 a^{-2} -6 z^8 a^{-4} -25 z^8 a^{-6} -14 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-1} -14 z^7 a^{-3} -33 z^7 a^{-5} -39 z^7 a^{-7} -21 z^7 a^{-9} -12 z^6 a^{-2} -2 z^6 a^{-4} +42 z^6 a^{-6} +30 z^6 a^{-8} -2 z^6 a^{-10} -4 z^5 a^{-1} +15 z^5 a^{-3} +55 z^5 a^{-5} +79 z^5 a^{-7} +48 z^5 a^{-9} +5 z^5 a^{-11} +14 z^4 a^{-2} +2 z^4 a^{-4} -50 z^4 a^{-6} -37 z^4 a^{-8} +2 z^4 a^{-10} +z^4 a^{-12} +4 z^3 a^{-1} -10 z^3 a^{-3} -48 z^3 a^{-5} -70 z^3 a^{-7} -43 z^3 a^{-9} -7 z^3 a^{-11} -5 z^2 a^{-2} +2 z^2 a^{-4} +38 z^2 a^{-6} +34 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +4 z a^{-3} +14 z a^{-5} +23 z a^{-7} +13 z a^{-9} -3 a^{-4} -12 a^{-6} -10 a^{-8} -2 a^{-10} }[/math] |
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