K13a1995
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Polynomial invariants
| Jones polynomial | Data:K13a1995/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-26 t^2+66 t-87+66 t^{-1} -26 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1995/Conway Polynomial |
| Determinant | 279 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +2 z^4 a^{-4} +z^4 a^{-6} -z^4 a^{-8} -2 z^4+a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} -z^2 a^{-8} -z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-4} +z^{12} a^{-6} +4 z^{11} a^{-3} +8 z^{11} a^{-5} +4 z^{11} a^{-7} +8 z^{10} a^{-2} +17 z^{10} a^{-4} +16 z^{10} a^{-6} +7 z^{10} a^{-8} +9 z^9 a^{-1} +15 z^9 a^{-3} +8 z^9 a^{-5} +9 z^9 a^{-7} +7 z^9 a^{-9} -5 z^8 a^{-2} -31 z^8 a^{-4} -34 z^8 a^{-6} -10 z^8 a^{-8} +4 z^8 a^{-10} +6 z^8+3 a z^7-17 z^7 a^{-1} -55 z^7 a^{-3} -62 z^7 a^{-5} -48 z^7 a^{-7} -20 z^7 a^{-9} +z^7 a^{-11} +a^2 z^6-11 z^6 a^{-2} +7 z^6 a^{-4} +9 z^6 a^{-6} -11 z^6 a^{-8} -13 z^6 a^{-10} -10 z^6-6 a z^5+20 z^5 a^{-1} +75 z^5 a^{-3} +89 z^5 a^{-5} +62 z^5 a^{-7} +19 z^5 a^{-9} -3 z^5 a^{-11} -3 a^2 z^4+20 z^4 a^{-2} +17 z^4 a^{-4} +15 z^4 a^{-6} +23 z^4 a^{-8} +13 z^4 a^{-10} +5 z^4+3 a z^3-17 z^3 a^{-1} -50 z^3 a^{-3} -59 z^3 a^{-5} -40 z^3 a^{-7} -9 z^3 a^{-9} +2 z^3 a^{-11} +3 a^2 z^2-11 z^2 a^{-2} -8 z^2 a^{-4} -7 z^2 a^{-6} -10 z^2 a^{-8} -4 z^2 a^{-10} -z^2+5 z a^{-1} +13 z a^{-3} +15 z a^{-5} +9 z a^{-7} +2 z a^{-9} -a^2+ a^{-2} + a^{-4} }[/math] |
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