K13n1382
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Polynomial invariants
| Jones polynomial | Data:K13n1382/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-15 t^2+20 t-21+20 t^{-1} -15 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1382/Conway Polynomial |
| Determinant | 111 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -2 z^4 a^{-6} -15 z^4 a^{-8} +6 z^4 a^{-10} +5 z^2 a^{-4} +6 z^2 a^{-6} -21 z^2 a^{-8} +11 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} +5 a^{-6} -12 a^{-8} +7 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +11 z^{10} a^{-8} +7 z^{10} a^{-10} +3 z^9 a^{-5} +z^9 a^{-7} +7 z^9 a^{-9} +9 z^9 a^{-11} +z^8 a^{-4} -15 z^8 a^{-6} -47 z^8 a^{-8} -27 z^8 a^{-10} +4 z^8 a^{-12} -13 z^7 a^{-5} -32 z^7 a^{-7} -63 z^7 a^{-9} -44 z^7 a^{-11} -5 z^6 a^{-4} +13 z^6 a^{-6} +64 z^6 a^{-8} +31 z^6 a^{-10} -15 z^6 a^{-12} +16 z^5 a^{-5} +54 z^5 a^{-7} +118 z^5 a^{-9} +83 z^5 a^{-11} +3 z^5 a^{-13} +9 z^4 a^{-4} -5 z^4 a^{-6} -51 z^4 a^{-8} -14 z^4 a^{-10} +23 z^4 a^{-12} -5 z^3 a^{-5} -38 z^3 a^{-7} -100 z^3 a^{-9} -70 z^3 a^{-11} -3 z^3 a^{-13} -7 z^2 a^{-4} +9 z^2 a^{-6} +33 z^2 a^{-8} +6 z^2 a^{-10} -9 z^2 a^{-12} +2 z^2 a^{-14} -z a^{-5} +14 z a^{-7} +34 z a^{-9} +22 z a^{-11} +3 z a^{-13} +2 a^{-4} -5 a^{-6} -12 a^{-8} -7 a^{-10} - a^{-12} }[/math] |
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