8 19 Quantum Invariants
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Further quantum knot invariants for 8_19.
A1 Invariants.
| Weight | Invariant |
|---|---|
| 1 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-5} + q^{-7} + q^{-9} + q^{-11} - q^{-15} - q^{-17} } |
| 2 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-10} + q^{-12} + q^{-14} + q^{-16} + q^{-18} + q^{-20} + q^{-22} - q^{-28} - q^{-30} - q^{-32} - q^{-34} - q^{-36} + q^{-48} } |
| 3 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-15} + q^{-17} + q^{-19} + q^{-21} + q^{-23} + q^{-25} + q^{-27} + q^{-29} + q^{-31} + q^{-33} - q^{-41} - q^{-43} - q^{-45} - q^{-47} - q^{-49} - q^{-51} - q^{-53} - q^{-55} + q^{-77} + q^{-79} + q^{-81} + q^{-83} - q^{-87} - q^{-89} } |
| 4 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-20} + q^{-22} + q^{-24} + q^{-26} + q^{-28} + q^{-30} + q^{-32} + q^{-34} + q^{-36} + q^{-38} + q^{-40} + q^{-42} + q^{-44} - q^{-54} - q^{-56} - q^{-58} - q^{-60} - q^{-62} - q^{-64} - q^{-66} - q^{-68} - q^{-70} - q^{-72} - q^{-74} + q^{-106} + q^{-108} + q^{-110} + q^{-112} + q^{-114} + q^{-116} + q^{-118} - q^{-124} - q^{-126} - q^{-128} - q^{-130} - q^{-132} + q^{-144} } |
| 5 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-25} + q^{-27} + q^{-29} + q^{-31} + q^{-33} + q^{-35} + q^{-37} + q^{-39} + q^{-41} + q^{-43} + q^{-45} + q^{-47} + q^{-49} + q^{-51} + q^{-53} + q^{-55} - q^{-67} - q^{-69} - q^{-71} - q^{-73} - q^{-75} - q^{-77} - q^{-79} - q^{-81} - q^{-83} - q^{-85} - q^{-87} - q^{-89} - q^{-91} - q^{-93} + q^{-135} + q^{-137} + q^{-139} + q^{-141} + q^{-143} + q^{-145} + q^{-147} + q^{-149} + q^{-151} + q^{-153} - q^{-161} - q^{-163} - q^{-165} - q^{-167} - q^{-169} - q^{-171} - q^{-173} - q^{-175} + q^{-197} + q^{-199} + q^{-201} + q^{-203} - q^{-207} - q^{-209} } |
| 6 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-30} + q^{-32} + q^{-34} + q^{-36} + q^{-38} + q^{-40} + q^{-42} + q^{-44} + q^{-46} + q^{-48} + q^{-50} + q^{-52} + q^{-54} + q^{-56} + q^{-58} + q^{-60} + q^{-62} + q^{-64} + q^{-66} - q^{-80} - q^{-82} - q^{-84} - q^{-86} - q^{-88} - q^{-90} - q^{-92} - q^{-94} - q^{-96} - q^{-98} - q^{-100} - q^{-102} - q^{-104} - q^{-106} - q^{-108} - q^{-110} - q^{-112} + q^{-164} + q^{-166} + q^{-168} + q^{-170} + q^{-172} + q^{-174} + q^{-176} + q^{-178} + q^{-180} + q^{-182} + q^{-184} + q^{-186} + q^{-188} - q^{-198} - q^{-200} - q^{-202} - q^{-204} - q^{-206} - q^{-208} - q^{-210} - q^{-212} - q^{-214} - q^{-216} - q^{-218} + q^{-250} + q^{-252} + q^{-254} + q^{-256} + q^{-258} + q^{-260} + q^{-262} - q^{-268} - q^{-270} - q^{-272} - q^{-274} - q^{-276} + q^{-288} } |
A2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-10} + q^{-12} +2 q^{-14} +2 q^{-16} +2 q^{-18} - q^{-22} -2 q^{-24} -2 q^{-26} - q^{-28} + q^{-32} } |
| 1,1 | |
| 2,0 |
A3 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-20} + q^{-22} +3 q^{-24} +4 q^{-26} +6 q^{-28} +5 q^{-30} +5 q^{-32} + q^{-34} -2 q^{-36} -6 q^{-38} -7 q^{-40} -7 q^{-42} -5 q^{-44} - q^{-46} + q^{-48} +3 q^{-50} +2 q^{-52} +2 q^{-54} } |
| 1,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-15} + q^{-17} +2 q^{-19} +3 q^{-21} +3 q^{-23} +2 q^{-25} + q^{-27} - q^{-29} -3 q^{-31} -3 q^{-33} -3 q^{-35} - q^{-37} + q^{-41} + q^{-43} } |
| 1,0,1 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-30} +2 q^{-32} +5 q^{-34} +9 q^{-36} +14 q^{-38} +17 q^{-40} +19 q^{-42} +16 q^{-44} +9 q^{-46} -10 q^{-50} -19 q^{-52} -25 q^{-54} -27 q^{-56} -23 q^{-58} -16 q^{-60} -7 q^{-62} +3 q^{-64} +9 q^{-66} +15 q^{-68} +15 q^{-70} +11 q^{-72} +7 q^{-74} +2 q^{-76} -2 q^{-78} -4 q^{-80} -3 q^{-82} -3 q^{-84} - q^{-86} - q^{-88} +2 q^{-96} } |
A4 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-30} + q^{-32} +3 q^{-34} +5 q^{-36} +8 q^{-38} +9 q^{-40} +12 q^{-42} +10 q^{-44} +8 q^{-46} +2 q^{-48} -4 q^{-50} -11 q^{-52} -15 q^{-54} -17 q^{-56} -15 q^{-58} -10 q^{-60} -5 q^{-62} +2 q^{-64} +5 q^{-66} +8 q^{-68} +7 q^{-70} +6 q^{-72} +3 q^{-74} + q^{-76} - q^{-78} - q^{-80} - q^{-82} - q^{-84} } |
| 1,0,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-20} + q^{-22} +2 q^{-24} +3 q^{-26} +4 q^{-28} +3 q^{-30} +3 q^{-32} + q^{-34} - q^{-36} -3 q^{-38} -4 q^{-40} -4 q^{-42} -3 q^{-44} - q^{-46} + q^{-50} + q^{-52} + q^{-54} } |
B2 Invariants.
| Weight | Invariant |
|---|---|
| 0,1 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-20} + q^{-22} + q^{-24} +2 q^{-26} +2 q^{-28} + q^{-30} + q^{-32} + q^{-34} - q^{-40} - q^{-42} - q^{-44} - q^{-46} - q^{-48} - q^{-50} } |
| 1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-30} + q^{-34} + q^{-36} +2 q^{-38} + q^{-40} +3 q^{-42} +2 q^{-44} +3 q^{-46} +2 q^{-48} +2 q^{-50} + q^{-52} + q^{-54} - q^{-56} - q^{-58} -2 q^{-60} -3 q^{-62} -3 q^{-64} -3 q^{-66} -3 q^{-68} -3 q^{-70} - q^{-72} - q^{-74} +2 q^{-80} + q^{-82} + q^{-84} + q^{-86} + q^{-88} } |
D4 Invariants.
| Weight | Invariant |
|---|---|
| 1,0,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-30} + q^{-32} +2 q^{-34} +4 q^{-36} +5 q^{-38} +6 q^{-40} +7 q^{-42} +6 q^{-44} +4 q^{-46} +2 q^{-48} -2 q^{-50} -5 q^{-52} -7 q^{-54} -8 q^{-56} -8 q^{-58} -6 q^{-60} -4 q^{-62} - q^{-64} + q^{-66} +2 q^{-68} +3 q^{-70} +2 q^{-72} +2 q^{-74} + q^{-76} } |
G2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{-50} + q^{-52} + q^{-54} + q^{-56} + q^{-58} + q^{-60} +2 q^{-62} +2 q^{-64} + q^{-66} + q^{-68} +2 q^{-70} +2 q^{-72} +2 q^{-74} + q^{-76} + q^{-80} +2 q^{-82} - q^{-94} -2 q^{-96} - q^{-98} - q^{-100} -2 q^{-102} -2 q^{-104} -2 q^{-106} - q^{-108} - q^{-110} -2 q^{-112} -2 q^{-114} - q^{-116} - q^{-122} - q^{-124} + q^{-126} + q^{-128} + q^{-136} + q^{-138} + q^{-144} } |
