K13a1128
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Polynomial invariants
| Jones polynomial | Data:K13a1128/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^4+17 t^3-48 t^2+86 t-103+86 t^{-1} -48 t^{-2} +17 t^{-3} -3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1128/Conway Polynomial |
| Determinant | 411 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -2 z^8 a^{-4} -3 z^6 a^{-2} -8 z^6 a^{-4} +3 z^6 a^{-6} +z^6-4 z^4 a^{-2} -12 z^4 a^{-4} +8 z^4 a^{-6} -z^4 a^{-8} +3 z^4-2 z^2 a^{-2} -7 z^2 a^{-4} +6 z^2 a^{-6} -z^2 a^{-8} +3 z^2+ a^{-2} -2 a^{-4} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{12} a^{-4} +4 z^{12} a^{-6} +13 z^{11} a^{-3} +27 z^{11} a^{-5} +14 z^{11} a^{-7} +18 z^{10} a^{-2} +34 z^{10} a^{-4} +36 z^{10} a^{-6} +20 z^{10} a^{-8} +15 z^9 a^{-1} -5 z^9 a^{-3} -41 z^9 a^{-5} -6 z^9 a^{-7} +15 z^9 a^{-9} -34 z^8 a^{-2} -112 z^8 a^{-4} -118 z^8 a^{-6} -43 z^8 a^{-8} +6 z^8 a^{-10} +9 z^8+4 a z^7-28 z^7 a^{-1} -36 z^7 a^{-3} -21 z^7 a^{-5} -52 z^7 a^{-7} -34 z^7 a^{-9} +z^7 a^{-11} +a^2 z^6+32 z^6 a^{-2} +133 z^6 a^{-4} +117 z^6 a^{-6} +21 z^6 a^{-8} -11 z^6 a^{-10} -15 z^6-7 a z^5+25 z^5 a^{-1} +62 z^5 a^{-3} +68 z^5 a^{-5} +59 z^5 a^{-7} +20 z^5 a^{-9} -z^5 a^{-11} -2 a^2 z^4-12 z^4 a^{-2} -70 z^4 a^{-4} -54 z^4 a^{-6} -3 z^4 a^{-8} +4 z^4 a^{-10} +9 z^4+3 a z^3-12 z^3 a^{-1} -34 z^3 a^{-3} -41 z^3 a^{-5} -25 z^3 a^{-7} -3 z^3 a^{-9} +a^2 z^2+17 z^2 a^{-4} +12 z^2 a^{-6} +z^2 a^{-8} +z^2 a^{-10} -4 z^2+2 z a^{-1} +7 z a^{-3} +9 z a^{-5} +4 z a^{-7} - a^{-2} -2 a^{-4} - a^{-6} +1 }[/math] |
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