7 3 Quantum Invariants

Further quantum knot invariants for 7_3.

A1 Invariants.

Weight	Invariant
1	$q^{-3}+q^{-7}+q^{-11}+q^{-13}-q^{-15}-q^{-19}$
2	$q^{-6}+2q^{-12}+q^{-14}-q^{-16}+q^{-18}+q^{-20}-q^{-22}+q^{-24}+q^{-26}-q^{-28}+q^{-34}-2q^{-36}-q^{-38}+q^{-40}-2q^{-42}-q^{-44}+q^{-46}+q^{-52}$
3	$q^{-9}+q^{-15}+2q^{-17}+q^{-19}-q^{-21}-q^{-23}+2q^{-25}+2q^{-27}-2q^{-31}+3q^{-35}+q^{-37}-2q^{-39}-q^{-41}+2q^{-43}+q^{-45}-2q^{-47}-q^{-49}+q^{-51}-2q^{-55}-q^{-57}-q^{-59}+2q^{-63}-2q^{-65}-2q^{-67}+3q^{-71}-q^{-73}-3q^{-75}+3q^{-79}+q^{-81}-q^{-83}+q^{-87}+q^{-89}-q^{-99}$
4	$q^{-12}+q^{-18}+q^{-20}+2q^{-22}-q^{-26}+4q^{-32}+2q^{-34}-q^{-36}-2q^{-38}-3q^{-40}+2q^{-42}+3q^{-44}+3q^{-46}-5q^{-50}-q^{-52}+2q^{-54}+5q^{-56}+2q^{-58}-5q^{-60}-4q^{-62}-q^{-64}+4q^{-66}+3q^{-68}-4q^{-70}-3q^{-72}-q^{-74}+3q^{-76}+2q^{-78}-3q^{-80}-2q^{-82}-q^{-84}+q^{-86}-2q^{-90}-q^{-92}-q^{-94}-q^{-96}+q^{-98}+4q^{-100}-q^{-102}-2q^{-104}-2q^{-106}+q^{-108}+7q^{-110}+q^{-112}-2q^{-114}-5q^{-116}-q^{-118}+7q^{-120}+3q^{-122}-q^{-124}-4q^{-126}-3q^{-128}+3q^{-130}+2q^{-132}+2q^{-134}-q^{-136}-2q^{-138}-q^{-142}+q^{-144}-q^{-148}-q^{-152}+q^{-160}$
5	$q^{-15}+q^{-21}+q^{-23}+q^{-25}+q^{-27}-q^{-31}+2q^{-35}+2q^{-37}+3q^{-39}+q^{-41}-2q^{-43}-4q^{-45}-2q^{-47}+q^{-49}+4q^{-51}+5q^{-53}+2q^{-55}-q^{-57}-5q^{-59}-5q^{-61}+4q^{-65}+7q^{-67}+5q^{-69}-2q^{-71}-8q^{-73}-8q^{-75}-q^{-77}+6q^{-79}+9q^{-81}+4q^{-83}-5q^{-85}-11q^{-87}-7q^{-89}+3q^{-91}+9q^{-93}+7q^{-95}-2q^{-97}-9q^{-99}-8q^{-101}+7q^{-105}+5q^{-107}-q^{-109}-6q^{-111}-5q^{-113}+4q^{-117}+3q^{-119}-q^{-121}-3q^{-123}-q^{-125}+2q^{-129}+q^{-131}-q^{-133}-q^{-137}-q^{-139}-q^{-141}+2q^{-143}+6q^{-145}+q^{-147}-q^{-149}-3q^{-151}-4q^{-153}+2q^{-155}+10q^{-157}+7q^{-159}-7q^{-163}-11q^{-165}-3q^{-167}+8q^{-169}+11q^{-171}+4q^{-173}-7q^{-175}-12q^{-177}-7q^{-179}+3q^{-181}+9q^{-183}+7q^{-185}+q^{-187}-6q^{-189}-6q^{-191}-3q^{-193}+2q^{-195}+4q^{-197}+3q^{-199}-2q^{-203}-3q^{-205}-q^{-207}+q^{-211}+2q^{-213}-q^{-217}+q^{-225}+q^{-227}-q^{-235}$
6	$q^{-18}+q^{-24}+q^{-26}+q^{-28}+q^{-32}-q^{-36}+q^{-38}+2q^{-40}+3q^{-42}+q^{-44}+2q^{-46}-q^{-48}-4q^{-50}-3q^{-52}-q^{-54}+3q^{-56}+3q^{-58}+7q^{-60}+4q^{-62}-2q^{-64}-5q^{-66}-6q^{-68}-4q^{-70}-3q^{-72}+6q^{-74}+9q^{-76}+8q^{-78}+3q^{-80}-2q^{-82}-8q^{-84}-14q^{-86}-5q^{-88}+2q^{-90}+10q^{-92}+13q^{-94}+10q^{-96}-q^{-98}-16q^{-100}-16q^{-102}-12q^{-104}+q^{-106}+13q^{-108}+21q^{-110}+12q^{-112}-6q^{-114}-16q^{-116}-21q^{-118}-10q^{-120}+5q^{-122}+21q^{-124}+19q^{-126}+2q^{-128}-11q^{-130}-21q^{-132}-15q^{-134}-q^{-136}+16q^{-138}+17q^{-140}+5q^{-142}-5q^{-144}-14q^{-146}-11q^{-148}-2q^{-150}+11q^{-152}+11q^{-154}+2q^{-156}-3q^{-158}-8q^{-160}-5q^{-162}-q^{-164}+6q^{-166}+5q^{-168}-2q^{-174}+q^{-178}+3q^{-180}+2q^{-182}-2q^{-190}-2q^{-192}-2q^{-194}+2q^{-196}+8q^{-198}+3q^{-200}+2q^{-202}-3q^{-204}-7q^{-206}-8q^{-208}-q^{-210}+14q^{-212}+12q^{-214}+9q^{-216}-3q^{-218}-16q^{-220}-23q^{-222}-11q^{-224}+12q^{-226}+19q^{-228}+20q^{-230}+4q^{-232}-15q^{-234}-28q^{-236}-20q^{-238}+4q^{-240}+16q^{-242}+24q^{-244}+14q^{-246}-2q^{-248}-18q^{-250}-20q^{-252}-6q^{-254}+3q^{-256}+13q^{-258}+14q^{-260}+8q^{-262}-4q^{-264}-9q^{-266}-7q^{-268}-6q^{-270}+q^{-272}+6q^{-274}+6q^{-276}+q^{-278}-q^{-280}-q^{-282}-4q^{-284}-2q^{-286}+q^{-288}+3q^{-290}+q^{-292}+q^{-294}+q^{-296}-2q^{-298}-q^{-300}+q^{-304}+q^{-310}-q^{-312}-q^{-314}-q^{-316}+q^{-324}$

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	$q^{-12}+2q^{-16}-2q^{-18}+6q^{-20}+8q^{-24}-2q^{-26}+5q^{-28}+2q^{-34}-4q^{-36}+6q^{-38}-8q^{-40}+4q^{-42}-11q^{-44}+4q^{-46}-8q^{-48}+4q^{-50}-q^{-52}+4q^{-56}-2q^{-58}+3q^{-60}-6q^{-62}+2q^{-64}-2q^{-66}+2q^{-68}-2q^{-70}+2q^{-72}+q^{-76}$
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} }