9 13 Quantum Invariants
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Further quantum knot invariants for 9_13.
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^{-3} - q^{-5} +2 q^{-7} - q^{-9} +2 q^{-11} + q^{-13} - q^{-15} + q^{-17} -2 q^{-19} + q^{-21} - q^{-23} } |
| 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^{-6} - q^{-8} +4 q^{-12} -2 q^{-14} -2 q^{-16} +7 q^{-18} -3 q^{-20} -5 q^{-22} +9 q^{-24} - q^{-26} -6 q^{-28} +5 q^{-30} +2 q^{-32} -2 q^{-34} -3 q^{-36} +4 q^{-38} + q^{-40} -8 q^{-42} +3 q^{-44} +4 q^{-46} -8 q^{-48} + q^{-50} +6 q^{-52} -5 q^{-54} - q^{-56} +4 q^{-58} - q^{-60} - q^{-62} + q^{-64} } |
| 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^{-9} - q^{-11} +2 q^{-15} +2 q^{-17} -2 q^{-19} -2 q^{-21} +4 q^{-23} +5 q^{-25} -5 q^{-27} -6 q^{-29} +7 q^{-31} +12 q^{-33} -8 q^{-35} -17 q^{-37} +7 q^{-39} +24 q^{-41} -3 q^{-43} -27 q^{-45} - q^{-47} +27 q^{-49} +5 q^{-51} -22 q^{-53} -11 q^{-55} +16 q^{-57} +12 q^{-59} -7 q^{-61} -12 q^{-63} -4 q^{-65} +14 q^{-67} +8 q^{-69} -14 q^{-71} -18 q^{-73} +13 q^{-75} +19 q^{-77} -10 q^{-79} -24 q^{-81} +7 q^{-83} +25 q^{-85} - q^{-87} -24 q^{-89} -4 q^{-91} +21 q^{-93} +11 q^{-95} -15 q^{-97} -13 q^{-99} +10 q^{-101} +12 q^{-103} -3 q^{-105} -10 q^{-107} +6 q^{-111} + q^{-113} -3 q^{-115} - q^{-117} + q^{-119} + q^{-121} - q^{-123} } |
| 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^{-12} - q^{-14} +2 q^{-18} +2 q^{-22} -3 q^{-24} +5 q^{-28} -2 q^{-30} +4 q^{-32} -6 q^{-34} +11 q^{-38} -2 q^{-40} +2 q^{-42} -19 q^{-44} -4 q^{-46} +25 q^{-48} +14 q^{-50} +9 q^{-52} -45 q^{-54} -34 q^{-56} +28 q^{-58} +50 q^{-60} +47 q^{-62} -57 q^{-64} -82 q^{-66} -5 q^{-68} +66 q^{-70} +97 q^{-72} -31 q^{-74} -100 q^{-76} -48 q^{-78} +39 q^{-80} +106 q^{-82} +12 q^{-84} -66 q^{-86} -63 q^{-88} -5 q^{-90} +70 q^{-92} +38 q^{-94} -15 q^{-96} -47 q^{-98} -33 q^{-100} +16 q^{-102} +47 q^{-104} +29 q^{-106} -32 q^{-108} -54 q^{-110} -22 q^{-112} +57 q^{-114} +62 q^{-116} -21 q^{-118} -69 q^{-120} -53 q^{-122} +60 q^{-124} +89 q^{-126} -71 q^{-130} -84 q^{-132} +38 q^{-134} +95 q^{-136} +39 q^{-138} -40 q^{-140} -100 q^{-142} -10 q^{-144} +62 q^{-146} +61 q^{-148} +14 q^{-150} -73 q^{-152} -43 q^{-154} +7 q^{-156} +45 q^{-158} +45 q^{-160} -25 q^{-162} -32 q^{-164} -21 q^{-166} +10 q^{-168} +33 q^{-170} +2 q^{-172} -7 q^{-174} -16 q^{-176} -5 q^{-178} +12 q^{-180} +2 q^{-182} +2 q^{-184} -4 q^{-186} -3 q^{-188} +3 q^{-190} + q^{-194} - q^{-196} - q^{-198} + q^{-200} } |
| 5 |
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^{-6} - q^{-8} + q^{-10} +3 q^{-16} + q^{-18} +2 q^{-20} - q^{-24} -2 q^{-28} - q^{-34} } |
| 1,1 | 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^{-12} -2 q^{-14} +4 q^{-16} -8 q^{-18} +17 q^{-20} -20 q^{-22} +32 q^{-24} -42 q^{-26} +56 q^{-28} -58 q^{-30} +70 q^{-32} -70 q^{-34} +69 q^{-36} -46 q^{-38} +30 q^{-40} -40 q^{-44} +74 q^{-46} -114 q^{-48} +130 q^{-50} -153 q^{-52} +148 q^{-54} -140 q^{-56} +120 q^{-58} -87 q^{-60} +52 q^{-62} -12 q^{-64} -18 q^{-66} +47 q^{-68} -72 q^{-70} +80 q^{-72} -78 q^{-74} +70 q^{-76} -62 q^{-78} +46 q^{-80} -30 q^{-82} +21 q^{-84} -12 q^{-86} +6 q^{-88} -2 q^{-90} + q^{-92} } |
| 2,0 | 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^{-12} - q^{-14} - q^{-16} +3 q^{-18} +2 q^{-20} -3 q^{-22} +5 q^{-26} +2 q^{-28} -3 q^{-30} + q^{-32} +5 q^{-34} - q^{-36} -2 q^{-38} +5 q^{-40} +3 q^{-42} + q^{-44} +2 q^{-46} +2 q^{-48} -3 q^{-50} -3 q^{-52} -3 q^{-56} -7 q^{-58} -2 q^{-60} +2 q^{-62} -2 q^{-64} -3 q^{-66} + q^{-68} +3 q^{-70} -2 q^{-74} + q^{-76} +2 q^{-78} + q^{-86} } |
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^{-12} - q^{-14} +2 q^{-18} -3 q^{-20} + q^{-22} +7 q^{-24} -3 q^{-26} + q^{-28} +9 q^{-30} -2 q^{-32} - q^{-34} +7 q^{-36} - q^{-38} - q^{-40} + q^{-44} -3 q^{-46} -6 q^{-48} +2 q^{-50} - q^{-52} -8 q^{-54} +3 q^{-56} +3 q^{-58} -6 q^{-60} +3 q^{-62} +2 q^{-64} -3 q^{-66} +2 q^{-68} + q^{-70} - q^{-72} + q^{-74} } |
| 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^{-9} - q^{-11} + q^{-13} - q^{-15} + q^{-17} +3 q^{-21} +2 q^{-23} +2 q^{-25} +2 q^{-27} -2 q^{-33} -2 q^{-37} - q^{-41} - q^{-45} } |
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^{-18} - q^{-20} + q^{-24} - q^{-26} - q^{-28} +3 q^{-30} +3 q^{-32} - q^{-34} + q^{-36} +6 q^{-38} +4 q^{-40} -2 q^{-42} +3 q^{-44} +10 q^{-46} +2 q^{-48} + q^{-50} +6 q^{-52} +5 q^{-54} -3 q^{-56} -2 q^{-58} -6 q^{-62} -9 q^{-64} -3 q^{-66} -3 q^{-68} -10 q^{-70} -3 q^{-72} +3 q^{-74} -2 q^{-76} -4 q^{-78} +3 q^{-80} +5 q^{-82} - q^{-86} +3 q^{-88} +2 q^{-90} - q^{-92} + q^{-96} } |
| 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^{-12} - q^{-14} + q^{-16} - q^{-18} + q^{-22} +3 q^{-26} +2 q^{-28} +3 q^{-30} +2 q^{-32} +2 q^{-34} - q^{-40} -2 q^{-42} -2 q^{-46} - q^{-50} - q^{-52} - q^{-56} } |
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^{-12} - q^{-14} +2 q^{-16} -4 q^{-18} +5 q^{-20} -5 q^{-22} +7 q^{-24} -5 q^{-26} +7 q^{-28} -3 q^{-30} +2 q^{-32} +3 q^{-34} -5 q^{-36} +9 q^{-38} -11 q^{-40} +12 q^{-42} -13 q^{-44} +11 q^{-46} -10 q^{-48} +6 q^{-50} -3 q^{-52} +3 q^{-56} -5 q^{-58} +6 q^{-60} -7 q^{-62} +6 q^{-64} -5 q^{-66} +4 q^{-68} -3 q^{-70} + q^{-72} - q^{-74} } |
| 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^{-18} - q^{-22} - q^{-24} + q^{-26} +3 q^{-28} -4 q^{-32} -2 q^{-34} +4 q^{-36} +7 q^{-38} -5 q^{-42} -3 q^{-44} +6 q^{-46} +7 q^{-48} - q^{-50} -6 q^{-52} + q^{-54} +6 q^{-56} +3 q^{-58} -4 q^{-60} -2 q^{-62} +4 q^{-64} +4 q^{-66} -3 q^{-68} -5 q^{-70} + q^{-72} +3 q^{-74} -2 q^{-76} -6 q^{-78} - q^{-80} +4 q^{-82} + q^{-84} -6 q^{-86} -6 q^{-88} +3 q^{-90} +7 q^{-92} -7 q^{-96} -4 q^{-98} +5 q^{-100} +5 q^{-102} - q^{-104} -4 q^{-106} - q^{-108} +3 q^{-110} +2 q^{-112} - q^{-114} - q^{-116} + q^{-120} } |
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^{-18} - q^{-20} + q^{-22} -2 q^{-24} +3 q^{-26} -4 q^{-28} +4 q^{-30} -3 q^{-32} +7 q^{-34} -3 q^{-36} +6 q^{-38} - q^{-40} +8 q^{-42} + q^{-44} + q^{-46} +3 q^{-48} -2 q^{-50} +7 q^{-52} -7 q^{-54} +7 q^{-56} -10 q^{-58} +10 q^{-60} -10 q^{-62} +7 q^{-64} -11 q^{-66} +4 q^{-68} -6 q^{-70} + q^{-72} -4 q^{-74} -2 q^{-76} +2 q^{-78} -3 q^{-80} +4 q^{-82} -5 q^{-84} +6 q^{-86} -5 q^{-88} +4 q^{-90} -4 q^{-92} +4 q^{-94} -2 q^{-96} +2 q^{-98} - q^{-100} + q^{-102} } |
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^{-30} - q^{-32} +2 q^{-34} -3 q^{-36} +2 q^{-38} - q^{-40} -2 q^{-42} +7 q^{-44} -8 q^{-46} +11 q^{-48} -9 q^{-50} +4 q^{-52} +4 q^{-54} -12 q^{-56} +19 q^{-58} -20 q^{-60} +17 q^{-62} -8 q^{-64} -4 q^{-66} +18 q^{-68} -22 q^{-70} +23 q^{-72} -13 q^{-74} + q^{-76} +10 q^{-78} -15 q^{-80} +13 q^{-82} - q^{-84} -8 q^{-86} +22 q^{-88} -18 q^{-90} +6 q^{-92} +13 q^{-94} -27 q^{-96} +36 q^{-98} -32 q^{-100} +16 q^{-102} +4 q^{-104} -21 q^{-106} +34 q^{-108} -36 q^{-110} +24 q^{-112} -9 q^{-114} -11 q^{-116} +18 q^{-118} -22 q^{-120} +14 q^{-122} -2 q^{-124} -10 q^{-126} +15 q^{-128} -14 q^{-130} +2 q^{-132} +12 q^{-134} -24 q^{-136} +24 q^{-138} -17 q^{-140} + q^{-142} +13 q^{-144} -23 q^{-146} +26 q^{-148} -20 q^{-150} +9 q^{-152} +2 q^{-154} -12 q^{-156} +14 q^{-158} -12 q^{-160} +9 q^{-162} -3 q^{-164} - q^{-166} +3 q^{-168} -4 q^{-170} +3 q^{-172} - q^{-174} + q^{-176} } |
