10 95 Quantum Invariants

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Further quantum knot invariants for 10_95.

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+3 q^3-4 q+4 q^{-1} -2 q^{-3} +2 q^{-5} +2 q^{-7} -3 q^{-9} +4 q^{-11} -4 q^{-13} +2 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^{16}-3 q^{14}+11 q^{10}-13 q^8-12 q^6+33 q^4-10 q^2-34+41 q^{-2} +7 q^{-4} -43 q^{-6} +23 q^{-8} +21 q^{-10} -26 q^{-12} -5 q^{-14} +23 q^{-16} +5 q^{-18} -33 q^{-20} +12 q^{-22} +34 q^{-24} -41 q^{-26} -7 q^{-28} +43 q^{-30} -24 q^{-32} -17 q^{-34} +26 q^{-36} -5 q^{-38} -10 q^{-40} +7 q^{-42} -2 q^{-46} + 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^{33}+3 q^{31}-7 q^{27}-2 q^{25}+17 q^{23}+15 q^{21}-39 q^{19}-41 q^{17}+53 q^{15}+93 q^{13}-47 q^{11}-166 q^9+13 q^7+234 q^5+60 q^3-275 q-165 q^{-1} +279 q^{-3} +262 q^{-5} -228 q^{-7} -331 q^{-9} +150 q^{-11} +358 q^{-13} -52 q^{-15} -342 q^{-17} -33 q^{-19} +288 q^{-21} +112 q^{-23} -216 q^{-25} -178 q^{-27} +131 q^{-29} +234 q^{-31} -37 q^{-33} -282 q^{-35} -59 q^{-37} +298 q^{-39} +168 q^{-41} -293 q^{-43} -259 q^{-45} +242 q^{-47} +324 q^{-49} -158 q^{-51} -345 q^{-53} +57 q^{-55} +318 q^{-57} +25 q^{-59} -244 q^{-61} -79 q^{-63} +160 q^{-65} +92 q^{-67} -86 q^{-69} -72 q^{-71} +33 q^{-73} +46 q^{-75} -10 q^{-77} -23 q^{-79} +3 q^{-81} +9 q^{-83} - q^{-85} -3 q^{-87} +2 q^{-91} - q^{-93} }
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^{56}-3 q^{54}+7 q^{50}-2 q^{48}-2 q^{46}-20 q^{44}+2 q^{42}+49 q^{40}+17 q^{38}-15 q^{36}-129 q^{34}-69 q^{32}+170 q^{30}+217 q^{28}+112 q^{26}-389 q^{24}-505 q^{22}+75 q^{20}+660 q^{18}+855 q^{16}-312 q^{14}-1340 q^{12}-897 q^{10}+628 q^8+2133 q^6+913 q^4-1538 q^2-2513-775 q^{-2} +2617 q^{-4} +2803 q^{-6} -195 q^{-8} -3208 q^{-10} -2770 q^{-12} +1435 q^{-14} +3634 q^{-16} +1750 q^{-18} -2218 q^{-20} -3640 q^{-22} -396 q^{-24} +2807 q^{-26} +2725 q^{-28} -555 q^{-30} -3004 q^{-32} -1583 q^{-34} +1303 q^{-36} +2581 q^{-38} +751 q^{-40} -1791 q^{-42} -2111 q^{-44} -71 q^{-46} +2095 q^{-48} +1781 q^{-50} -554 q^{-52} -2525 q^{-54} -1450 q^{-56} +1476 q^{-58} +2807 q^{-60} +950 q^{-62} -2587 q^{-64} -2922 q^{-66} +204 q^{-68} +3264 q^{-70} +2706 q^{-72} -1554 q^{-74} -3645 q^{-76} -1619 q^{-78} +2276 q^{-80} +3619 q^{-82} +351 q^{-84} -2691 q^{-86} -2685 q^{-88} +301 q^{-90} +2772 q^{-92} +1572 q^{-94} -772 q^{-96} -2079 q^{-98} -946 q^{-100} +1047 q^{-102} +1269 q^{-104} +393 q^{-106} -769 q^{-108} -814 q^{-110} +30 q^{-112} +420 q^{-114} +403 q^{-116} -65 q^{-118} -276 q^{-120} -96 q^{-122} +26 q^{-124} +126 q^{-126} +27 q^{-128} -44 q^{-130} -16 q^{-132} -14 q^{-134} +20 q^{-136} +5 q^{-138} -7 q^{-140} +2 q^{-142} -3 q^{-144} +3 q^{-146} -2 q^{-150} + q^{-152} }
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^{85}+3 q^{83}-7 q^{79}+2 q^{77}+6 q^{75}+5 q^{73}+3 q^{71}-12 q^{69}-36 q^{67}-14 q^{65}+57 q^{63}+93 q^{61}+51 q^{59}-90 q^{57}-240 q^{55}-234 q^{53}+86 q^{51}+541 q^{49}+638 q^{47}+129 q^{45}-824 q^{43}-1462 q^{41}-928 q^{39}+882 q^{37}+2657 q^{35}+2557 q^{33}-56 q^{31}-3726 q^{29}-5263 q^{27}-2350 q^{25}+3879 q^{23}+8535 q^{21}+6693 q^{19}-1858 q^{17}-11172 q^{15}-12772 q^{13}-3169 q^{11}+11624 q^9+19211 q^7+11109 q^5-8402 q^3-23950 q-20838 q^{-1} +1133 q^{-3} +25148 q^{-5} +30006 q^{-7} +9156 q^{-9} -21625 q^{-11} -36241 q^{-13} -20461 q^{-15} +13964 q^{-17} +37948 q^{-19} +30068 q^{-21} -3791 q^{-23} -34785 q^{-25} -36085 q^{-27} -6534 q^{-29} +27940 q^{-31} +37600 q^{-33} +14968 q^{-35} -19241 q^{-37} -35145 q^{-39} -20297 q^{-41} +10569 q^{-43} +30063 q^{-45} +22581 q^{-47} -3290 q^{-49} -24034 q^{-51} -22572 q^{-53} -2186 q^{-55} +18287 q^{-57} +21612 q^{-59} +6230 q^{-61} -13611 q^{-63} -20783 q^{-65} -9643 q^{-67} +9842 q^{-69} +20739 q^{-71} +13429 q^{-73} -6337 q^{-75} -21582 q^{-77} -18138 q^{-79} +2248 q^{-81} +22434 q^{-83} +23889 q^{-85} +3420 q^{-87} -22344 q^{-89} -29999 q^{-91} -10776 q^{-93} +19913 q^{-95} +35029 q^{-97} +19587 q^{-99} -14435 q^{-101} -37440 q^{-103} -28345 q^{-105} +5937 q^{-107} +35806 q^{-109} +35172 q^{-111} +4428 q^{-113} -29726 q^{-115} -38195 q^{-117} -14591 q^{-119} +20089 q^{-121} +36389 q^{-123} +22115 q^{-125} -8823 q^{-127} -30021 q^{-129} -25468 q^{-131} -1438 q^{-133} +20855 q^{-135} +24133 q^{-137} +8550 q^{-139} -11133 q^{-141} -19273 q^{-143} -11657 q^{-145} +3213 q^{-147} +12844 q^{-149} +11108 q^{-151} +1722 q^{-153} -6768 q^{-155} -8422 q^{-157} -3705 q^{-159} +2438 q^{-161} +5199 q^{-163} +3534 q^{-165} -73 q^{-167} -2533 q^{-169} -2481 q^{-171} -748 q^{-173} +921 q^{-175} +1365 q^{-177} +714 q^{-179} -169 q^{-181} -590 q^{-183} -443 q^{-185} -65 q^{-187} +206 q^{-189} +212 q^{-191} +64 q^{-193} -52 q^{-195} -70 q^{-197} -38 q^{-199} + q^{-201} +30 q^{-203} +14 q^{-205} -7 q^{-207} -2 q^{-209} - q^{-211} -4 q^{-213} +2 q^{-215} +3 q^{-217} -3 q^{-219} +2 q^{-223} - q^{-225} }

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+2 q^4-q^2-1+3 q^{-2} -3 q^{-4} +3 q^{-6} + q^{-10} +3 q^{-12} -2 q^{-14} +3 q^{-16} -2 q^{-18} -2 q^{-20} + q^{-22} - q^{-24} }
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^{20}-6 q^{18}+20 q^{16}-50 q^{14}+109 q^{12}-214 q^{10}+376 q^8-600 q^6+876 q^4-1184 q^2+1472-1672 q^{-2} +1720 q^{-4} -1564 q^{-6} +1184 q^{-8} -572 q^{-10} -200 q^{-12} +1064 q^{-14} -1902 q^{-16} +2622 q^{-18} -3128 q^{-20} +3366 q^{-22} -3296 q^{-24} +2936 q^{-26} -2322 q^{-28} +1538 q^{-30} -692 q^{-32} -134 q^{-34} +827 q^{-36} -1328 q^{-38} +1598 q^{-40} -1654 q^{-42} +1540 q^{-44} -1310 q^{-46} +1030 q^{-48} -756 q^{-50} +518 q^{-52} -332 q^{-54} +200 q^{-56} -114 q^{-58} +60 q^{-60} -28 q^{-62} +12 q^{-64} -4 q^{-66} + q^{-68} }
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^{18}-2 q^{16}-2 q^{14}+6 q^{12}+3 q^{10}-9 q^8-8 q^6+12 q^4+10 q^2-18-7 q^{-2} +21 q^{-4} +6 q^{-6} -18 q^{-8} + q^{-10} +17 q^{-12} -4 q^{-14} -8 q^{-16} +8 q^{-18} +5 q^{-20} -12 q^{-22} +8 q^{-24} +10 q^{-26} -15 q^{-28} -4 q^{-30} +18 q^{-32} +3 q^{-34} -21 q^{-36} - q^{-38} +17 q^{-40} -3 q^{-42} -17 q^{-44} + q^{-46} +11 q^{-48} - q^{-50} -5 q^{-52} +3 q^{-56} - q^{-60} + q^{-62} }

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^{14}-3 q^{12}+q^{10}+7 q^8-13 q^6+4 q^4+18 q^2-27+7 q^{-2} +26 q^{-4} -34 q^{-6} +4 q^{-8} +26 q^{-10} -21 q^{-12} -3 q^{-14} +18 q^{-16} +2 q^{-18} -5 q^{-20} -2 q^{-22} +21 q^{-24} -6 q^{-26} -26 q^{-28} +28 q^{-30} -4 q^{-32} -33 q^{-34} +27 q^{-36} + q^{-38} -22 q^{-40} +16 q^{-42} +2 q^{-44} -9 q^{-46} +5 q^{-48} + q^{-50} -2 q^{-52} + 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^7+2 q^5-2 q^3+2 q-2 q^{-1} +3 q^{-3} -3 q^{-5} +2 q^{-7} + q^{-11} +2 q^{-13} + q^{-15} +4 q^{-17} -2 q^{-19} +3 q^{-21} -3 q^{-23} -3 q^{-27} + q^{-29} - q^{-31} }

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^{16}-2 q^{14}-q^{12}+5 q^{10}-2 q^8-8 q^6+7 q^4+10 q^2-12-9 q^{-2} +19 q^{-4} +7 q^{-6} -27 q^{-8} +29 q^{-12} -11 q^{-14} -26 q^{-16} +21 q^{-18} +15 q^{-20} -22 q^{-22} +3 q^{-24} +31 q^{-26} -3 q^{-28} -13 q^{-30} +27 q^{-32} +13 q^{-34} -30 q^{-36} -3 q^{-38} +22 q^{-40} -18 q^{-42} -28 q^{-44} +11 q^{-46} +12 q^{-48} -16 q^{-50} -8 q^{-52} +14 q^{-54} +5 q^{-56} -8 q^{-58} + q^{-60} +5 q^{-62} - q^{-64} - q^{-66} + q^{-68} }
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^8+2 q^6-2 q^4+q^2+1-2 q^{-2} +3 q^{-4} -3 q^{-6} +2 q^{-8} - q^{-10} + q^{-12} + q^{-14} +2 q^{-16} +2 q^{-18} +2 q^{-20} +4 q^{-22} -2 q^{-24} +3 q^{-26} -3 q^{-28} - q^{-30} - q^{-32} -3 q^{-34} + q^{-36} - q^{-38} }

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^{14}+3 q^{12}-7 q^{10}+13 q^8-21 q^6+30 q^4-36 q^2+39-39 q^{-2} +34 q^{-4} -22 q^{-6} +6 q^{-8} +14 q^{-10} -33 q^{-12} +53 q^{-14} -66 q^{-16} +76 q^{-18} -75 q^{-20} +70 q^{-22} -55 q^{-24} +38 q^{-26} -18 q^{-28} -2 q^{-30} +18 q^{-32} -31 q^{-34} +37 q^{-36} -39 q^{-38} +36 q^{-40} -30 q^{-42} +22 q^{-44} -15 q^{-46} +9 q^{-48} -5 q^{-50} +2 q^{-52} - q^{-54} }
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^{24}-3 q^{20}-3 q^{18}+4 q^{16}+10 q^{14}-17 q^{10}-12 q^8+18 q^6+27 q^4-7 q^2-37-13 q^{-2} +36 q^{-4} +32 q^{-6} -22 q^{-8} -41 q^{-10} +2 q^{-12} +39 q^{-14} +13 q^{-16} -29 q^{-18} -20 q^{-20} +22 q^{-22} +24 q^{-24} -12 q^{-26} -24 q^{-28} +9 q^{-30} +28 q^{-32} -28 q^{-36} -4 q^{-38} +30 q^{-40} +14 q^{-42} -30 q^{-44} -27 q^{-46} +22 q^{-48} +37 q^{-50} -9 q^{-52} -44 q^{-54} -13 q^{-56} +34 q^{-58} +28 q^{-60} -17 q^{-62} -32 q^{-64} -2 q^{-66} +23 q^{-68} +12 q^{-70} -9 q^{-72} -12 q^{-74} +7 q^{-78} +3 q^{-80} -2 q^{-82} -2 q^{-84} + 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^{18}-3 q^{16}+4 q^{14}-6 q^{12}+11 q^{10}-17 q^8+20 q^6-23 q^4+30 q^2-32+30 q^{-2} -29 q^{-4} +29 q^{-6} -21 q^{-8} +7 q^{-10} -2 q^{-12} -6 q^{-14} +22 q^{-16} -35 q^{-18} +41 q^{-20} -45 q^{-22} +62 q^{-24} -55 q^{-26} +59 q^{-28} -52 q^{-30} +56 q^{-32} -37 q^{-34} +28 q^{-36} -25 q^{-38} +7 q^{-40} +3 q^{-42} -16 q^{-44} +14 q^{-46} -29 q^{-48} +31 q^{-50} -29 q^{-52} +28 q^{-54} -29 q^{-56} +25 q^{-58} -17 q^{-60} +14 q^{-62} -12 q^{-64} +8 q^{-66} -4 q^{-68} +3 q^{-70} -2 q^{-72} + q^{-74} }

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^{32}-3 q^{30}+7 q^{28}-13 q^{26}+15 q^{24}-14 q^{22}+3 q^{20}+22 q^{18}-53 q^{16}+87 q^{14}-102 q^{12}+76 q^{10}-13 q^8-85 q^6+191 q^4-252 q^2+243-141 q^{-2} -36 q^{-4} +219 q^{-6} -340 q^{-8} +342 q^{-10} -220 q^{-12} +19 q^{-14} +179 q^{-16} -286 q^{-18} +261 q^{-20} -110 q^{-22} -88 q^{-24} +243 q^{-26} -278 q^{-28} +160 q^{-30} +52 q^{-32} -272 q^{-34} +413 q^{-36} -401 q^{-38} +247 q^{-40} +12 q^{-42} -279 q^{-44} +460 q^{-46} -491 q^{-48} +363 q^{-50} -118 q^{-52} -143 q^{-54} +331 q^{-56} -370 q^{-58} +273 q^{-60} -72 q^{-62} -133 q^{-64} +248 q^{-66} -232 q^{-68} +85 q^{-70} +115 q^{-72} -272 q^{-74} +316 q^{-76} -223 q^{-78} +35 q^{-80} +161 q^{-82} -302 q^{-84} +329 q^{-86} -249 q^{-88} +100 q^{-90} +51 q^{-92} -161 q^{-94} +198 q^{-96} -170 q^{-98} +108 q^{-100} -33 q^{-102} -25 q^{-104} +53 q^{-106} -62 q^{-108} +50 q^{-110} -31 q^{-112} +14 q^{-114} + q^{-116} -8 q^{-118} +9 q^{-120} -8 q^{-122} +5 q^{-124} -2 q^{-126} + q^{-128} }