K13n4014
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Polynomial invariants
| Jones polynomial | Data:K13n4014/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-28 t^2+55 t-67+55 t^{-1} -28 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4014/Conway Polynomial |
| Determinant | 251 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +3 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +8 z^4 a^{-2} -8 z^4 a^{-4} +2 z^4 a^{-6} -2 z^4+6 z^2 a^{-2} -7 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2+ a^{-2} -2 a^{-4} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-3} +4 z^{11} a^{-5} +8 z^{10} a^{-2} +21 z^{10} a^{-4} +13 z^{10} a^{-6} +5 z^9 a^{-1} +9 z^9 a^{-3} +21 z^9 a^{-5} +17 z^9 a^{-7} -11 z^8 a^{-2} -39 z^8 a^{-4} -15 z^8 a^{-6} +12 z^8 a^{-8} +z^8+3 z^7 a^{-1} -17 z^7 a^{-3} -60 z^7 a^{-5} -35 z^7 a^{-7} +5 z^7 a^{-9} +25 z^6 a^{-2} +33 z^6 a^{-4} -5 z^6 a^{-6} -22 z^6 a^{-8} +z^6 a^{-10} +10 z^6+3 a z^5-9 z^5 a^{-1} +2 z^5 a^{-3} +46 z^5 a^{-5} +25 z^5 a^{-7} -7 z^5 a^{-9} -37 z^4 a^{-2} -28 z^4 a^{-4} +6 z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} -15 z^4-2 a z^3+2 z^3 a^{-1} +3 z^3 a^{-3} -10 z^3 a^{-5} -8 z^3 a^{-7} +z^3 a^{-9} +15 z^2 a^{-2} +15 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} +5 z^2-z a^{-1} -2 z a^{-3} +z a^{-7} - a^{-2} -2 a^{-4} - a^{-6} +1 }[/math] |
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