10 102 Quantum Invariants

Further quantum knot invariants for 10_102.

A1 Invariants.

Weight	Invariant
1	$q^{9}-2q^{7}+3q^{5}-3q^{3}+3q-q^{-3}+2q^{-5}-3q^{-7}+3q^{-9}-2q^{-11}+q^{-13}$
2	$q^{26}-2q^{24}+5q^{20}-7q^{18}+q^{16}+13q^{14}-17q^{12}-3q^{10}+25q^{8}-17q^{6}-13q^{4}+24q^{2}-2-15q^{-2}+6q^{-4}+13q^{-6}-9q^{-8}-12q^{-10}+20q^{-12}+q^{-14}-24q^{-16}+16q^{-18}+13q^{-20}-24q^{-22}+4q^{-24}+17q^{-26}-12q^{-28}-5q^{-30}+8q^{-32}-q^{-34}-2q^{-36}+q^{-38}$
3	$q^{51}-2q^{49}+2q^{45}+q^{43}-3q^{41}-q^{39}+6q^{37}-5q^{35}-10q^{33}+14q^{31}+24q^{29}-23q^{27}-53q^{25}+28q^{23}+91q^{21}-13q^{19}-129q^{17}-24q^{15}+148q^{13}+70q^{11}-140q^{9}-107q^{7}+99q^{5}+134q^{3}-46q-131q^{-1}-6q^{-3}+111q^{-5}+57q^{-7}-87q^{-9}-90q^{-11}+58q^{-13}+118q^{-15}-35q^{-17}-136q^{-19}+5q^{-21}+148q^{-23}+29q^{-25}-150q^{-27}-67q^{-29}+135q^{-31}+105q^{-33}-98q^{-35}-133q^{-37}+47q^{-39}+140q^{-41}+4q^{-43}-116q^{-45}-47q^{-47}+77q^{-49}+65q^{-51}-36q^{-53}-56q^{-55}+3q^{-57}+36q^{-59}+10q^{-61}-17q^{-63}-8q^{-65}+5q^{-67}+4q^{-69}-q^{-71}-2q^{-73}+q^{-75}$
4	$q^{84}-2q^{82}+2q^{78}-2q^{76}+5q^{74}-5q^{72}-q^{70}+q^{68}-11q^{66}+21q^{64}+5q^{62}+5q^{60}-18q^{58}-67q^{56}+25q^{54}+70q^{52}+104q^{50}-17q^{48}-250q^{46}-139q^{44}+118q^{42}+426q^{40}+261q^{38}-418q^{36}-636q^{34}-223q^{32}+708q^{30}+945q^{28}-70q^{26}-1017q^{24}-1010q^{22}+343q^{20}+1386q^{18}+739q^{16}-626q^{14}-1428q^{12}-481q^{10}+947q^{8}+1150q^{6}+222q^{4}-987q^{2}-928+87q^{-2}+845q^{-4}+724q^{-6}-234q^{-8}-813q^{-10}-493q^{-12}+369q^{-14}+818q^{-16}+262q^{-18}-620q^{-20}-779q^{-22}+102q^{-24}+874q^{-26}+588q^{-28}-530q^{-30}-1064q^{-32}-171q^{-34}+923q^{-36}+1002q^{-38}-243q^{-40}-1256q^{-42}-685q^{-44}+591q^{-46}+1318q^{-48}+423q^{-50}-934q^{-52}-1115q^{-54}-211q^{-56}+1022q^{-58}+978q^{-60}-69q^{-62}-868q^{-64}-845q^{-66}+174q^{-68}+789q^{-70}+566q^{-72}-105q^{-74}-684q^{-76}-390q^{-78}+129q^{-80}+441q^{-82}+324q^{-84}-144q^{-86}-277q^{-88}-183q^{-90}+58q^{-92}+199q^{-94}+72q^{-96}-25q^{-98}-93q^{-100}-47q^{-102}+32q^{-104}+26q^{-106}+19q^{-108}-11q^{-110}-14q^{-112}+2q^{-114}+q^{-116}+4q^{-118}-q^{-120}-2q^{-122}+q^{-124}$

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^{12}-q^{10}+q^8+q^6-2 q^4+3 q^2-1+ q^{-2} -2 q^{-6} +2 q^{-8} -2 q^{-10} + q^{-12} + q^{-14} - q^{-16} + q^{-18} }
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^{36}-4 q^{34}+10 q^{32}-20 q^{30}+36 q^{28}-58 q^{26}+90 q^{24}-128 q^{22}+171 q^{20}-218 q^{18}+278 q^{16}-348 q^{14}+407 q^{12}-458 q^{10}+496 q^8-480 q^6+399 q^4-242 q^2+24+242 q^{-2} -534 q^{-4} +798 q^{-6} -1008 q^{-8} +1140 q^{-10} -1165 q^{-12} +1098 q^{-14} -934 q^{-16} +698 q^{-18} -408 q^{-20} +96 q^{-22} +188 q^{-24} -420 q^{-26} +583 q^{-28} -656 q^{-30} +638 q^{-32} -556 q^{-34} +445 q^{-36} -324 q^{-38} +208 q^{-40} -122 q^{-42} +66 q^{-44} -30 q^{-46} +12 q^{-48} -4 q^{-50} + q^{-52} }
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^{32}-q^{30}-q^{28}+3 q^{26}-4 q^{22}+2 q^{20}+7 q^{18}-2 q^{16}-10 q^{14}+4 q^{12}+12 q^{10}-9 q^8-9 q^6+9 q^4+4 q^2-5-3 q^{-2} +8 q^{-4} -2 q^{-6} -4 q^{-8} +7 q^{-10} + q^{-12} -7 q^{-14} +4 q^{-16} +9 q^{-18} -8 q^{-20} -5 q^{-22} +6 q^{-24} +6 q^{-26} -7 q^{-28} -7 q^{-30} +8 q^{-32} +3 q^{-34} -5 q^{-36} -3 q^{-38} +2 q^{-40} +3 q^{-42} - q^{-44} - q^{-46} + q^{-48} }

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^{28}-2 q^{26}+5 q^{22}-6 q^{20}-2 q^{18}+13 q^{16}-9 q^{14}-8 q^{12}+20 q^{10}-8 q^8-12 q^6+20 q^4-4 q^2-8+8 q^{-2} +2 q^{-4} -4 q^{-6} -8 q^{-8} +7 q^{-10} +4 q^{-12} -16 q^{-14} +7 q^{-16} +13 q^{-18} -17 q^{-20} +6 q^{-22} +13 q^{-24} -14 q^{-26} +5 q^{-28} +5 q^{-30} -8 q^{-32} +3 q^{-34} + q^{-36} -2 q^{-38} + q^{-40} }
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^{13}+2 q^{11}-q^9+2 q^7-2 q^5+3 q^3-q+ q^{-1} - q^{-5} -2 q^{-9} +2 q^{-11} -2 q^{-13} +2 q^{-15} - q^{-17} +2 q^{-19} - q^{-21} + q^{-23} }

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

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^{28}-2 q^{26}+4 q^{24}-7 q^{22}+10 q^{20}-14 q^{18}+19 q^{16}-21 q^{14}+24 q^{12}-22 q^{10}+18 q^8-10 q^6+12 q^2-24+34 q^{-2} -42 q^{-4} +46 q^{-6} -46 q^{-8} +41 q^{-10} -32 q^{-12} +22 q^{-14} -9 q^{-16} -3 q^{-18} +13 q^{-20} -20 q^{-22} +23 q^{-24} -24 q^{-26} +23 q^{-28} -19 q^{-30} +14 q^{-32} -9 q^{-34} +5 q^{-36} -2 q^{-38} + q^{-40} }
1,0	$q^{46}-2q^{42}-2q^{40}+2q^{38}+6q^{36}+q^{34}-8q^{32}-8q^{30}+5q^{28}+16q^{26}+4q^{24}-16q^{22}-16q^{20}+9q^{18}+24q^{16}+3q^{14}-23q^{12}-13q^{10}+17q^{8}+20q^{6}-9q^{4}-20q^{2}+3+20q^{-2}+3q^{-4}-17q^{-6}-7q^{-8}+13q^{-10}+9q^{-12}-12q^{-14}-12q^{-16}+10q^{-18}+15q^{-20}-7q^{-22}-21q^{-24}+24q^{-28}+12q^{-30}-20q^{-32}-22q^{-34}+11q^{-36}+26q^{-38}+3q^{-40}-21q^{-42}-12q^{-44}+13q^{-46}+14q^{-48}-4q^{-50}-11q^{-52}-2q^{-54}+6q^{-56}+3q^{-58}-2q^{-60}-2q^{-62}+q^{-66}$

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^{38}-2 q^{36}+2 q^{34}-3 q^{32}+6 q^{30}-8 q^{28}+8 q^{26}-10 q^{24}+16 q^{22}-16 q^{20}+15 q^{18}-17 q^{16}+21 q^{14}-15 q^{12}+11 q^{10}-9 q^8+5 q^6+7 q^4-10 q^2+17-24 q^{-2} +31 q^{-4} -32 q^{-6} +33 q^{-8} -39 q^{-10} +33 q^{-12} -32 q^{-14} +26 q^{-16} -24 q^{-18} +14 q^{-20} -7 q^{-22} +3 q^{-24} +5 q^{-26} -9 q^{-28} +18 q^{-30} -16 q^{-32} +19 q^{-34} -19 q^{-36} +20 q^{-38} -17 q^{-40} +13 q^{-42} -12 q^{-44} +8 q^{-46} -5 q^{-48} +3 q^{-50} -2 q^{-52} + q^{-54} }

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^{66}-2 q^{64}+4 q^{62}-6 q^{60}+5 q^{58}-3 q^{56}-2 q^{54}+11 q^{52}-18 q^{50}+26 q^{48}-28 q^{46}+19 q^{44}-4 q^{42}-19 q^{40}+42 q^{38}-59 q^{36}+68 q^{34}-61 q^{32}+33 q^{30}+15 q^{28}-64 q^{26}+110 q^{24}-123 q^{22}+100 q^{20}-42 q^{18}-40 q^{16}+108 q^{14}-134 q^{12}+108 q^{10}-29 q^8-57 q^6+110 q^4-105 q^2+39+57 q^{-2} -141 q^{-4} +164 q^{-6} -116 q^{-8} +14 q^{-10} +107 q^{-12} -193 q^{-14} +216 q^{-16} -165 q^{-18} +60 q^{-20} +55 q^{-22} -151 q^{-24} +192 q^{-26} -166 q^{-28} +88 q^{-30} +14 q^{-32} -100 q^{-34} +135 q^{-36} -108 q^{-38} +29 q^{-40} +61 q^{-42} -125 q^{-44} +126 q^{-46} -65 q^{-48} -34 q^{-50} +131 q^{-52} -171 q^{-54} +148 q^{-56} -68 q^{-58} -33 q^{-60} +111 q^{-62} -142 q^{-64} +125 q^{-66} -69 q^{-68} +6 q^{-70} +42 q^{-72} -63 q^{-74} +57 q^{-76} -36 q^{-78} +16 q^{-80} + q^{-82} -10 q^{-84} +10 q^{-86} -9 q^{-88} +5 q^{-90} -2 q^{-92} + q^{-94} }