10 79 Quantum Invariants

Further quantum knot invariants for 10_79.

A1 Invariants.

Weight	Invariant
1	$-q^{11}+q^{9}-3q^{7}+3q^{5}-q^{3}+2q+2q^{-1}-q^{-3}+3q^{-5}-3q^{-7}+q^{-9}-q^{-11}$
2	$q^{32}-q^{30}+4q^{26}-5q^{24}-4q^{22}+12q^{20}-7q^{18}-14q^{16}+18q^{14}-19q^{10}+13q^{8}+8q^{6}-12q^{4}+2q^{2}+11+2q^{-2}-12q^{-4}+8q^{-6}+13q^{-8}-19q^{-10}+18q^{-14}-14q^{-16}-7q^{-18}+12q^{-20}-4q^{-22}-5q^{-24}+4q^{-26}-q^{-30}+q^{-32}$
3	$-q^{63}+q^{61}-q^{57}-q^{55}+4q^{53}+2q^{51}-7q^{49}-5q^{47}+15q^{45}+14q^{43}-19q^{41}-33q^{39}+20q^{37}+55q^{35}-9q^{33}-76q^{31}-21q^{29}+91q^{27}+46q^{25}-86q^{23}-78q^{21}+70q^{19}+91q^{17}-45q^{15}-98q^{13}+23q^{11}+87q^{9}+8q^{7}-70q^{5}-27q^{3}+52q+52q^{-1}-27q^{-3}-70q^{-5}+8q^{-7}+87q^{-9}+23q^{-11}-98q^{-13}-45q^{-15}+91q^{-17}+70q^{-19}-78q^{-21}-86q^{-23}+46q^{-25}+91q^{-27}-21q^{-29}-76q^{-31}-9q^{-33}+55q^{-35}+20q^{-37}-33q^{-39}-19q^{-41}+14q^{-43}+15q^{-45}-5q^{-47}-7q^{-49}+2q^{-51}+4q^{-53}-q^{-55}-q^{-57}+q^{-61}-q^{-63}$
4	$q^{104}-q^{102}+q^{98}-2q^{96}+2q^{94}-3q^{92}+q^{90}+6q^{88}-7q^{86}-q^{84}-12q^{82}+6q^{80}+33q^{78}+2q^{76}-14q^{74}-66q^{72}-23q^{70}+85q^{68}+91q^{66}+46q^{64}-158q^{62}-192q^{60}+20q^{58}+220q^{56}+307q^{54}-74q^{52}-402q^{50}-304q^{48}+115q^{46}+599q^{44}+302q^{42}-334q^{40}-635q^{38}-276q^{36}+565q^{34}+644q^{32}+28q^{30}-629q^{28}-593q^{26}+245q^{24}+644q^{22}+325q^{20}-350q^{18}-590q^{16}-59q^{14}+404q^{12}+399q^{10}-64q^{8}-411q^{6}-239q^{4}+158q^{2}+385+158q^{-2}-239q^{-4}-411q^{-6}-64q^{-8}+399q^{-10}+404q^{-12}-59q^{-14}-590q^{-16}-350q^{-18}+325q^{-20}+644q^{-22}+245q^{-24}-593q^{-26}-629q^{-28}+28q^{-30}+644q^{-32}+565q^{-34}-276q^{-36}-635q^{-38}-334q^{-40}+302q^{-42}+599q^{-44}+115q^{-46}-304q^{-48}-402q^{-50}-74q^{-52}+307q^{-54}+220q^{-56}+20q^{-58}-192q^{-60}-158q^{-62}+46q^{-64}+91q^{-66}+85q^{-68}-23q^{-70}-66q^{-72}-14q^{-74}+2q^{-76}+33q^{-78}+6q^{-80}-12q^{-82}-q^{-84}-7q^{-86}+6q^{-88}+q^{-90}-3q^{-92}+2q^{-94}-2q^{-96}+q^{-98}-q^{-102}+q^{-104}$
5	$-q^{155}+q^{153}-q^{149}+2q^{147}+q^{145}-3q^{143}+q^{139}-2q^{137}+5q^{135}+9q^{133}-5q^{131}-12q^{129}-13q^{127}-9q^{125}+17q^{123}+47q^{121}+36q^{119}-20q^{117}-84q^{115}-110q^{113}-31q^{111}+120q^{109}+232q^{107}+174q^{105}-82q^{103}-376q^{101}-436q^{99}-124q^{97}+417q^{95}+797q^{93}+587q^{91}-230q^{89}-1087q^{87}-1252q^{85}-365q^{83}+1081q^{81}+1983q^{79}+1368q^{77}-589q^{75}-2447q^{73}-2568q^{71}-506q^{69}+2363q^{67}+3692q^{65}+1995q^{63}-1644q^{61}-4278q^{59}-3550q^{57}+293q^{55}+4214q^{53}+4767q^{51}+1252q^{49}-3436q^{47}-5320q^{45}-2715q^{43}+2227q^{41}+5174q^{39}+3668q^{37}-874q^{35}-4452q^{33}-4047q^{31}-264q^{29}+3401q^{27}+3869q^{25}+1072q^{23}-2321q^{21}-3380q^{19}-1467q^{17}+1398q^{15}+2745q^{13}+1651q^{11}-705q^{9}-2228q^{7}-1719q^{5}+218q^{3}+1879q+1879q^{-1}+218q^{-3}-1719q^{-5}-2228q^{-7}-705q^{-9}+1651q^{-11}+2745q^{-13}+1398q^{-15}-1467q^{-17}-3380q^{-19}-2321q^{-21}+1072q^{-23}+3869q^{-25}+3401q^{-27}-264q^{-29}-4047q^{-31}-4452q^{-33}-874q^{-35}+3668q^{-37}+5174q^{-39}+2227q^{-41}-2715q^{-43}-5320q^{-45}-3436q^{-47}+1252q^{-49}+4767q^{-51}+4214q^{-53}+293q^{-55}-3550q^{-57}-4278q^{-59}-1644q^{-61}+1995q^{-63}+3692q^{-65}+2363q^{-67}-506q^{-69}-2568q^{-71}-2447q^{-73}-589q^{-75}+1368q^{-77}+1983q^{-79}+1081q^{-81}-365q^{-83}-1252q^{-85}-1087q^{-87}-230q^{-89}+587q^{-91}+797q^{-93}+417q^{-95}-124q^{-97}-436q^{-99}-376q^{-101}-82q^{-103}+174q^{-105}+232q^{-107}+120q^{-109}-31q^{-111}-110q^{-113}-84q^{-115}-20q^{-117}+36q^{-119}+47q^{-121}+17q^{-123}-9q^{-125}-13q^{-127}-12q^{-129}-5q^{-131}+9q^{-133}+5q^{-135}-2q^{-137}+q^{-139}-3q^{-143}+q^{-145}+2q^{-147}-q^{-149}+q^{-153}-q^{-155}$

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^{14}-3 q^{10}+5 q^2+1+5 q^{-2} -3 q^{-10} - q^{-14} }
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^{44}-2 q^{42}+6 q^{40}-12 q^{38}+25 q^{36}-42 q^{34}+68 q^{32}-106 q^{30}+155 q^{28}-214 q^{26}+276 q^{24}-332 q^{22}+363 q^{20}-368 q^{18}+312 q^{16}-224 q^{14}+67 q^{12}+102 q^{10}-294 q^8+476 q^6-610 q^4+724 q^2-734+724 q^{-2} -610 q^{-4} +476 q^{-6} -294 q^{-8} +102 q^{-10} +67 q^{-12} -224 q^{-14} +312 q^{-16} -368 q^{-18} +363 q^{-20} -332 q^{-22} +276 q^{-24} -214 q^{-26} +155 q^{-28} -106 q^{-30} +68 q^{-32} -42 q^{-34} +25 q^{-36} -12 q^{-38} +6 q^{-40} -2 q^{-42} + q^{-44} }
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^{38}+q^{34}+3 q^{32}-2 q^{28}+3 q^{26}-7 q^{22}-7 q^{20}+q^{18}-q^{16}-13 q^{14}-2 q^{12}+5 q^{10}-4 q^8-q^6+12 q^4+11 q^2+6+11 q^{-2} +12 q^{-4} - q^{-6} -4 q^{-8} +5 q^{-10} -2 q^{-12} -13 q^{-14} - q^{-16} + q^{-18} -7 q^{-20} -7 q^{-22} +3 q^{-26} -2 q^{-28} +3 q^{-32} + q^{-34} + q^{-38} }

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^{34}-q^{32}+q^{30}+3 q^{28}-4 q^{26}+q^{24}+7 q^{22}-12 q^{20}+9 q^{16}-20 q^{14}-5 q^{12}+7 q^{10}-13 q^8-q^6+15 q^4+10 q^2+10+10 q^{-2} +15 q^{-4} - q^{-6} -13 q^{-8} +7 q^{-10} -5 q^{-12} -20 q^{-14} +9 q^{-16} -12 q^{-20} +7 q^{-22} + q^{-24} -4 q^{-26} +3 q^{-28} + q^{-30} - q^{-32} + q^{-34} }
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^{17}-4 q^{13}-4 q^9+q^7+5 q^3+5 q+5 q^{-1} +5 q^{-3} + q^{-7} -4 q^{-9} -4 q^{-13} - q^{-17} }
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^{56}-2 q^{54}+5 q^{52}-5 q^{50}+2 q^{48}+10 q^{46}-24 q^{44}+34 q^{42}-24 q^{40}-14 q^{38}+67 q^{36}-113 q^{34}+108 q^{32}-22 q^{30}-107 q^{28}+245 q^{26}-276 q^{24}+187 q^{22}+8 q^{20}-265 q^{18}+360 q^{16}-401 q^{14}+173 q^{12}+9 q^{10}-205 q^8+256 q^6-120 q^4+85 q^2+71+85 q^{-2} -120 q^{-4} +256 q^{-6} -205 q^{-8} +9 q^{-10} +173 q^{-12} -401 q^{-14} +360 q^{-16} -265 q^{-18} +8 q^{-20} +187 q^{-22} -276 q^{-24} +245 q^{-26} -107 q^{-28} -22 q^{-30} +108 q^{-32} -113 q^{-34} +67 q^{-36} -14 q^{-38} -24 q^{-40} +34 q^{-42} -24 q^{-44} +10 q^{-46} +2 q^{-48} -5 q^{-50} +5 q^{-52} -2 q^{-54} + q^{-56} }

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^{40}+q^{36}+4 q^{34}+q^{32}+8 q^{28}-q^{26}-8 q^{24}+q^{22}-2 q^{20}-22 q^{18}-19 q^{16}-7 q^{14}-15 q^{12}-21 q^{10}+3 q^8+23 q^6+9 q^4+26 q^2+46+26 q^{-2} +9 q^{-4} +23 q^{-6} +3 q^{-8} -21 q^{-10} -15 q^{-12} -7 q^{-14} -19 q^{-16} -22 q^{-18} -2 q^{-20} + q^{-22} -8 q^{-24} - q^{-26} +8 q^{-28} + q^{-32} +4 q^{-34} + q^{-36} + q^{-40} }
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^{20}-4 q^{16}-q^{14}-4 q^{12}-3 q^{10}+6 q^4+5 q^2+9+5 q^{-2} +6 q^{-4} -3 q^{-10} -4 q^{-12} - q^{-14} -4 q^{-16} - q^{-20} }

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^{34}+q^{32}-3 q^{30}+5 q^{28}-8 q^{26}+11 q^{24}-15 q^{22}+16 q^{20}-18 q^{18}+15 q^{16}-12 q^{14}+5 q^{12}+3 q^{10}-11 q^8+21 q^6-25 q^4+34 q^2-32+34 q^{-2} -25 q^{-4} +21 q^{-6} -11 q^{-8} +3 q^{-10} +5 q^{-12} -12 q^{-14} +15 q^{-16} -18 q^{-18} +16 q^{-20} -15 q^{-22} +11 q^{-24} -8 q^{-26} +5 q^{-28} -3 q^{-30} + q^{-32} - q^{-34} }
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^{56}-q^{52}-q^{50}+2 q^{48}+4 q^{46}-6 q^{42}-4 q^{40}+6 q^{38}+11 q^{36}-3 q^{34}-16 q^{32}-8 q^{30}+13 q^{28}+13 q^{26}-10 q^{24}-21 q^{22}-4 q^{20}+15 q^{18}+6 q^{16}-13 q^{14}-11 q^{12}+9 q^{10}+13 q^8-8 q^4+7 q^2+17+7 q^{-2} -8 q^{-4} +13 q^{-8} +9 q^{-10} -11 q^{-12} -13 q^{-14} +6 q^{-16} +15 q^{-18} -4 q^{-20} -21 q^{-22} -10 q^{-24} +13 q^{-26} +13 q^{-28} -8 q^{-30} -16 q^{-32} -3 q^{-34} +11 q^{-36} +6 q^{-38} -4 q^{-40} -6 q^{-42} +4 q^{-46} +2 q^{-48} - q^{-50} - q^{-52} + q^{-56} }

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

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^{80}-q^{78}+3 q^{76}-4 q^{74}+4 q^{72}-3 q^{70}-q^{68}+8 q^{66}-15 q^{64}+21 q^{62}-23 q^{60}+16 q^{58}-4 q^{56}-18 q^{54}+44 q^{52}-63 q^{50}+64 q^{48}-47 q^{46}+q^{44}+45 q^{42}-88 q^{40}+101 q^{38}-82 q^{36}+29 q^{34}+29 q^{32}-79 q^{30}+87 q^{28}-58 q^{26}+4 q^{24}+50 q^{22}-75 q^{20}+60 q^{18}-7 q^{16}-53 q^{14}+105 q^{12}-113 q^{10}+85 q^8-15 q^6-59 q^4+126 q^2-143+126 q^{-2} -59 q^{-4} -15 q^{-6} +85 q^{-8} -113 q^{-10} +105 q^{-12} -53 q^{-14} -7 q^{-16} +60 q^{-18} -75 q^{-20} +50 q^{-22} +4 q^{-24} -58 q^{-26} +87 q^{-28} -79 q^{-30} +29 q^{-32} +29 q^{-34} -82 q^{-36} +101 q^{-38} -88 q^{-40} +45 q^{-42} + q^{-44} -47 q^{-46} +64 q^{-48} -63 q^{-50} +44 q^{-52} -18 q^{-54} -4 q^{-56} +16 q^{-58} -23 q^{-60} +21 q^{-62} -15 q^{-64} +8 q^{-66} - q^{-68} -3 q^{-70} +4 q^{-72} -4 q^{-74} +3 q^{-76} - q^{-78} + q^{-80} }