7 3 Quantum Invariants
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Further quantum knot invariants for 7_3.
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^{-7} + q^{-11} + q^{-13} - q^{-15} - q^{-19} } |
| 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} +2 q^{-12} + q^{-14} - q^{-16} + q^{-18} + q^{-20} - q^{-22} + q^{-24} + q^{-26} - q^{-28} + q^{-34} -2 q^{-36} - q^{-38} + q^{-40} -2 q^{-42} - q^{-44} + q^{-46} + q^{-52} } |
| 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^{-15} +2 q^{-17} + q^{-19} - q^{-21} - q^{-23} +2 q^{-25} +2 q^{-27} -2 q^{-31} +3 q^{-35} + q^{-37} -2 q^{-39} - q^{-41} +2 q^{-43} + q^{-45} -2 q^{-47} - q^{-49} + q^{-51} -2 q^{-55} - q^{-57} - q^{-59} +2 q^{-63} -2 q^{-65} -2 q^{-67} +3 q^{-71} - q^{-73} -3 q^{-75} +3 q^{-79} + q^{-81} - q^{-83} + q^{-87} + q^{-89} - q^{-99} } |
| 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^{-18} + q^{-20} +2 q^{-22} - q^{-26} +4 q^{-32} +2 q^{-34} - q^{-36} -2 q^{-38} -3 q^{-40} +2 q^{-42} +3 q^{-44} +3 q^{-46} -5 q^{-50} - q^{-52} +2 q^{-54} +5 q^{-56} +2 q^{-58} -5 q^{-60} -4 q^{-62} - q^{-64} +4 q^{-66} +3 q^{-68} -4 q^{-70} -3 q^{-72} - q^{-74} +3 q^{-76} +2 q^{-78} -3 q^{-80} -2 q^{-82} - q^{-84} + q^{-86} -2 q^{-90} - q^{-92} - q^{-94} - q^{-96} + q^{-98} +4 q^{-100} - q^{-102} -2 q^{-104} -2 q^{-106} + q^{-108} +7 q^{-110} + q^{-112} -2 q^{-114} -5 q^{-116} - q^{-118} +7 q^{-120} +3 q^{-122} - q^{-124} -4 q^{-126} -3 q^{-128} +3 q^{-130} +2 q^{-132} +2 q^{-134} - q^{-136} -2 q^{-138} - q^{-142} + q^{-144} - q^{-148} - q^{-152} + q^{-160} } |
| 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^{-15} + q^{-21} + q^{-23} + q^{-25} + q^{-27} - q^{-31} +2 q^{-35} +2 q^{-37} +3 q^{-39} + q^{-41} -2 q^{-43} -4 q^{-45} -2 q^{-47} + q^{-49} +4 q^{-51} +5 q^{-53} +2 q^{-55} - q^{-57} -5 q^{-59} -5 q^{-61} +4 q^{-65} +7 q^{-67} +5 q^{-69} -2 q^{-71} -8 q^{-73} -8 q^{-75} - q^{-77} +6 q^{-79} +9 q^{-81} +4 q^{-83} -5 q^{-85} -11 q^{-87} -7 q^{-89} +3 q^{-91} +9 q^{-93} +7 q^{-95} -2 q^{-97} -9 q^{-99} -8 q^{-101} +7 q^{-105} +5 q^{-107} - q^{-109} -6 q^{-111} -5 q^{-113} +4 q^{-117} +3 q^{-119} - q^{-121} -3 q^{-123} - q^{-125} +2 q^{-129} + q^{-131} - q^{-133} - q^{-137} - q^{-139} - q^{-141} +2 q^{-143} +6 q^{-145} + q^{-147} - q^{-149} -3 q^{-151} -4 q^{-153} +2 q^{-155} +10 q^{-157} +7 q^{-159} -7 q^{-163} -11 q^{-165} -3 q^{-167} +8 q^{-169} +11 q^{-171} +4 q^{-173} -7 q^{-175} -12 q^{-177} -7 q^{-179} +3 q^{-181} +9 q^{-183} +7 q^{-185} + q^{-187} -6 q^{-189} -6 q^{-191} -3 q^{-193} +2 q^{-195} +4 q^{-197} +3 q^{-199} -2 q^{-203} -3 q^{-205} - q^{-207} + q^{-211} +2 q^{-213} - q^{-217} + q^{-225} + q^{-227} - q^{-235} } |
| 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^{-18} + q^{-24} + q^{-26} + q^{-28} + q^{-32} - q^{-36} + q^{-38} +2 q^{-40} +3 q^{-42} + q^{-44} +2 q^{-46} - q^{-48} -4 q^{-50} -3 q^{-52} - q^{-54} +3 q^{-56} +3 q^{-58} +7 q^{-60} +4 q^{-62} -2 q^{-64} -5 q^{-66} -6 q^{-68} -4 q^{-70} -3 q^{-72} +6 q^{-74} +9 q^{-76} +8 q^{-78} +3 q^{-80} -2 q^{-82} -8 q^{-84} -14 q^{-86} -5 q^{-88} +2 q^{-90} +10 q^{-92} +13 q^{-94} +10 q^{-96} - q^{-98} -16 q^{-100} -16 q^{-102} -12 q^{-104} + q^{-106} +13 q^{-108} +21 q^{-110} +12 q^{-112} -6 q^{-114} -16 q^{-116} -21 q^{-118} -10 q^{-120} +5 q^{-122} +21 q^{-124} +19 q^{-126} +2 q^{-128} -11 q^{-130} -21 q^{-132} -15 q^{-134} - q^{-136} +16 q^{-138} +17 q^{-140} +5 q^{-142} -5 q^{-144} -14 q^{-146} -11 q^{-148} -2 q^{-150} +11 q^{-152} +11 q^{-154} +2 q^{-156} -3 q^{-158} -8 q^{-160} -5 q^{-162} - q^{-164} +6 q^{-166} +5 q^{-168} -2 q^{-174} + q^{-178} +3 q^{-180} +2 q^{-182} -2 q^{-190} -2 q^{-192} -2 q^{-194} +2 q^{-196} +8 q^{-198} +3 q^{-200} +2 q^{-202} -3 q^{-204} -7 q^{-206} -8 q^{-208} - q^{-210} +14 q^{-212} +12 q^{-214} +9 q^{-216} -3 q^{-218} -16 q^{-220} -23 q^{-222} -11 q^{-224} +12 q^{-226} +19 q^{-228} +20 q^{-230} +4 q^{-232} -15 q^{-234} -28 q^{-236} -20 q^{-238} +4 q^{-240} +16 q^{-242} +24 q^{-244} +14 q^{-246} -2 q^{-248} -18 q^{-250} -20 q^{-252} -6 q^{-254} +3 q^{-256} +13 q^{-258} +14 q^{-260} +8 q^{-262} -4 q^{-264} -9 q^{-266} -7 q^{-268} -6 q^{-270} + q^{-272} +6 q^{-274} +6 q^{-276} + q^{-278} - q^{-280} - q^{-282} -4 q^{-284} -2 q^{-286} + q^{-288} +3 q^{-290} + q^{-292} + q^{-294} + q^{-296} -2 q^{-298} - q^{-300} + q^{-304} + q^{-310} - q^{-312} - q^{-314} - q^{-316} + q^{-324} } |
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^{-10} + q^{-14} +2 q^{-16} + q^{-18} + q^{-20} - q^{-22} - q^{-24} - q^{-26} - q^{-28} } |
| 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^{-16} -2 q^{-18} +6 q^{-20} +8 q^{-24} -2 q^{-26} +5 q^{-28} +2 q^{-34} -4 q^{-36} +6 q^{-38} -8 q^{-40} +4 q^{-42} -11 q^{-44} +4 q^{-46} -8 q^{-48} +4 q^{-50} - q^{-52} +4 q^{-56} -2 q^{-58} +3 q^{-60} -6 q^{-62} +2 q^{-64} -2 q^{-66} +2 q^{-68} -2 q^{-70} +2 q^{-72} + q^{-76} } |
| 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^{-18} +2 q^{-20} + q^{-22} + q^{-24} +2 q^{-26} +2 q^{-28} + q^{-30} + q^{-32} + q^{-34} +2 q^{-40} - q^{-46} - q^{-48} -3 q^{-50} -3 q^{-52} -2 q^{-54} -2 q^{-56} -2 q^{-58} - q^{-60} + q^{-62} + q^{-64} +2 q^{-66} + q^{-68} + q^{-70} } |
| 3,0 | 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} +2 q^{-26} +3 q^{-28} +2 q^{-30} +2 q^{-36} +4 q^{-38} +2 q^{-40} +3 q^{-46} +4 q^{-48} +2 q^{-50} + q^{-54} +2 q^{-56} +2 q^{-58} - q^{-64} - q^{-66} -4 q^{-68} -4 q^{-70} -2 q^{-72} -3 q^{-74} -3 q^{-76} -5 q^{-78} -2 q^{-80} - q^{-82} -3 q^{-86} -3 q^{-88} - q^{-90} + q^{-92} -2 q^{-96} - q^{-98} +2 q^{-100} +4 q^{-102} +4 q^{-104} +3 q^{-106} +2 q^{-108} +3 q^{-110} +2 q^{-112} +2 q^{-114} - q^{-118} -2 q^{-120} -2 q^{-122} - q^{-124} - q^{-126} } |
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^{-16} + q^{-18} +2 q^{-22} +3 q^{-24} + q^{-26} +3 q^{-28} +3 q^{-30} + q^{-32} -2 q^{-38} -2 q^{-40} -3 q^{-42} - q^{-44} -2 q^{-46} -2 q^{-48} + q^{-50} - q^{-52} - q^{-54} + q^{-56} + q^{-58} + q^{-62} } |
| 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^{-13} + q^{-17} + q^{-19} +2 q^{-21} +2 q^{-23} + q^{-25} + q^{-27} - q^{-29} - q^{-31} -2 q^{-33} - q^{-35} - q^{-37} } |
| 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^{-18} +2 q^{-22} + q^{-26} +5 q^{-28} +2 q^{-30} +9 q^{-32} +5 q^{-34} +6 q^{-36} +8 q^{-38} +9 q^{-42} - q^{-44} + q^{-48} -8 q^{-50} -4 q^{-52} -7 q^{-54} -8 q^{-56} -7 q^{-58} -3 q^{-60} -6 q^{-62} - q^{-66} +7 q^{-70} -2 q^{-72} +7 q^{-74} +2 q^{-76} -3 q^{-78} +3 q^{-80} -4 q^{-82} - q^{-84} + q^{-86} -2 q^{-88} + q^{-90} - q^{-92} +2 q^{-96} + q^{-100} } |
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^{-22} + q^{-24} + q^{-26} + q^{-28} +3 q^{-30} +2 q^{-32} +2 q^{-34} +4 q^{-36} +4 q^{-38} +3 q^{-40} +3 q^{-42} +4 q^{-44} +3 q^{-46} -2 q^{-52} -5 q^{-54} -6 q^{-56} -5 q^{-58} -6 q^{-60} -5 q^{-62} -2 q^{-64} - q^{-66} + q^{-70} +3 q^{-72} +2 q^{-74} + q^{-76} + q^{-78} + q^{-80} } |
| 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^{-16} + q^{-20} + q^{-22} + q^{-24} +2 q^{-26} +2 q^{-28} +2 q^{-30} + q^{-32} + q^{-34} - q^{-36} - q^{-38} -2 q^{-40} -2 q^{-42} - q^{-44} - q^{-46} } |
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^{-16} - q^{-18} +2 q^{-20} + q^{-24} + q^{-26} + q^{-28} + q^{-30} - q^{-32} +2 q^{-34} -2 q^{-36} +2 q^{-38} -2 q^{-40} + q^{-42} - q^{-44} - q^{-50} + q^{-52} - q^{-54} + q^{-56} - q^{-58} - q^{-62} } |
| 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^{-26} + q^{-28} - q^{-32} + q^{-34} +2 q^{-36} +2 q^{-38} + q^{-42} + q^{-44} +2 q^{-46} + q^{-48} + q^{-54} - q^{-58} - q^{-60} - q^{-66} -2 q^{-68} - q^{-70} - q^{-74} -2 q^{-76} - q^{-78} + q^{-80} - q^{-84} - q^{-86} + q^{-90} + q^{-92} + q^{-100} } |
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^{-22} +2 q^{-26} +2 q^{-30} + q^{-32} +2 q^{-34} +2 q^{-36} +2 q^{-38} +3 q^{-40} +3 q^{-42} +3 q^{-44} +2 q^{-48} -2 q^{-50} -4 q^{-54} -2 q^{-56} -4 q^{-58} - q^{-60} -2 q^{-62} - q^{-64} - q^{-66} - q^{-68} + q^{-70} - q^{-72} - q^{-76} + q^{-78} + q^{-82} + q^{-86} } |
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^{-34} - q^{-36} + q^{-38} + q^{-40} - q^{-42} +3 q^{-44} - q^{-46} +2 q^{-48} - q^{-52} +2 q^{-54} -2 q^{-56} +2 q^{-58} - q^{-62} +2 q^{-64} + q^{-68} +2 q^{-70} - q^{-72} +2 q^{-74} +3 q^{-80} -2 q^{-82} +3 q^{-84} +2 q^{-88} + q^{-90} -3 q^{-92} +3 q^{-94} -3 q^{-96} +2 q^{-98} - q^{-100} -3 q^{-102} + q^{-104} - q^{-106} - q^{-108} -3 q^{-112} - q^{-114} - q^{-116} -2 q^{-118} +2 q^{-120} -3 q^{-122} + q^{-124} - q^{-128} + q^{-130} - q^{-132} + q^{-134} - q^{-136} + q^{-138} - q^{-142} + q^{-144} + q^{-148} } |