10 152 Quantum Invariants: Difference between revisions
From Knot Atlas
Jump to navigationJump to search
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
{{Quantum invariant page header|knot=10_152}} |
|||
<!-- automatically generated by QuantumInvariantPageRobot.nb, do not edit until after END comment --> |
<!-- automatically generated by QuantumInvariantPageRobot.nb, do not edit until after END comment --> |
||
{{Quantum invariant table start|knot=10_152|algebra=A1}} |
{{Quantum invariant table start|knot=10_152|algebra=A1}} |
||
Revision as of 16:22, 5 December 2005
Further quantum knot invariants for 10_152.
A1 Invariants.
| Weight | Invariant |
|---|---|
| 1 | [math]\displaystyle{ q^{27}-q^{25}-q^{21}-q^{19}-q^{15}+2 q^{13}+q^{11}+q^9+q^7 }[/math] |
| 2 | [math]\displaystyle{ q^{74}-q^{72}-2 q^{70}+2 q^{68}+q^{66}-3 q^{64}+4 q^{60}-q^{58}-q^{56}+2 q^{54}+q^{52}-q^{50}+2 q^{46}-3 q^{44}-3 q^{42}+2 q^{40}-2 q^{38}-4 q^{36}+q^{34}+q^{32}-q^{30}-q^{28}+2 q^{26}+2 q^{24}+q^{22}+q^{20}+q^{18}+q^{16}+q^{14} }[/math] |
| 3 | [math]\displaystyle{ q^{141}-q^{139}-2 q^{137}+3 q^{133}+3 q^{131}-4 q^{129}-5 q^{127}+2 q^{125}+9 q^{123}+4 q^{121}-10 q^{119}-10 q^{117}+6 q^{115}+11 q^{113}-2 q^{111}-12 q^{109}+9 q^{105}+2 q^{103}-6 q^{101}-3 q^{99}+3 q^{97}+3 q^{95}-q^{93}-4 q^{91}+q^{89}+6 q^{87}+3 q^{85}-7 q^{83}-3 q^{81}+10 q^{79}+9 q^{77}-8 q^{75}-8 q^{73}+3 q^{71}+10 q^{69}-2 q^{67}-11 q^{65}-5 q^{63}+3 q^{61}+5 q^{59}-2 q^{57}-6 q^{55}-4 q^{53}+q^{51}+2 q^{49}+q^{47}-q^{45}-q^{43}-q^{41}+2 q^{39}+2 q^{37}+2 q^{35}+q^{33}+q^{31}+q^{29}+q^{27}+q^{25}+q^{23}+q^{21} }[/math] |
A2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | [math]\displaystyle{ 2 q^{40}-q^{34}-3 q^{32}-2 q^{30}-3 q^{28}+q^{24}+2 q^{22}+3 q^{20}+2 q^{18}+q^{16}+q^{14} }[/math] |
| 1,1 | [math]\displaystyle{ q^{108}-2 q^{106}+4 q^{104}-8 q^{102}+9 q^{100}-10 q^{98}+10 q^{96}-4 q^{94}-4 q^{92}+12 q^{90}-20 q^{88}+24 q^{86}-25 q^{84}+22 q^{82}-16 q^{80}+8 q^{78}-q^{76}-8 q^{74}+14 q^{72}-16 q^{70}+28 q^{68}-18 q^{66}+28 q^{64}-10 q^{62}+9 q^{60}-4 q^{58}-16 q^{56}-2 q^{54}-24 q^{52}-4 q^{50}-14 q^{48}-2 q^{46}+q^{44}+6 q^{42}+8 q^{40}+10 q^{38}+7 q^{36}+8 q^{34}+4 q^{32}+2 q^{30}+q^{28} }[/math] |
| 2,0 | [math]\displaystyle{ 3 q^{100}-q^{96}-2 q^{94}-3 q^{92}-3 q^{90}-6 q^{88}+3 q^{84}+5 q^{82}+5 q^{80}+6 q^{78}+5 q^{76}+5 q^{74}+3 q^{72}+q^{70}-3 q^{66}-5 q^{64}-7 q^{62}-10 q^{60}-8 q^{58}-6 q^{56}-5 q^{54}-3 q^{52}-q^{50}+4 q^{48}+3 q^{46}+3 q^{44}+4 q^{42}+6 q^{40}+4 q^{38}+3 q^{36}+2 q^{34}+2 q^{32}+q^{30}+q^{28} }[/math] |
A3 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0 | [math]\displaystyle{ q^{88}-q^{86}-3 q^{80}+q^{78}-q^{74}+2 q^{72}+q^{70}+q^{68}+3 q^{66}+3 q^{64}+6 q^{62}+4 q^{60}+q^{58}-2 q^{56}-8 q^{54}-13 q^{52}-10 q^{50}-11 q^{48}-6 q^{46}+2 q^{44}+3 q^{42}+9 q^{40}+7 q^{38}+7 q^{36}+5 q^{34}+3 q^{32}+q^{30}+q^{28} }[/math] |
| 1,0,0 | [math]\displaystyle{ 2 q^{53}+q^{51}+2 q^{49}-2 q^{45}-4 q^{43}-5 q^{41}-4 q^{39}-3 q^{37}+2 q^{33}+4 q^{31}+3 q^{29}+4 q^{27}+2 q^{25}+q^{23}+q^{21} }[/math] |
| 1,0,1 | [math]\displaystyle{ q^{142}-2 q^{140}+3 q^{138}-3 q^{136}-q^{134}+5 q^{132}-8 q^{130}+10 q^{128}-8 q^{126}+4 q^{124}-6 q^{120}+12 q^{118}-16 q^{116}+13 q^{114}-9 q^{112}+8 q^{110}-q^{108}+3 q^{106}+7 q^{104}-16 q^{102}+11 q^{100}-31 q^{98}+2 q^{96}-21 q^{94}-q^{92}+13 q^{90}+9 q^{88}+49 q^{86}+26 q^{84}+47 q^{82}+22 q^{80}+10 q^{78}-12 q^{76}-36 q^{74}-46 q^{72}-63 q^{70}-47 q^{68}-44 q^{66}-21 q^{64}-2 q^{62}+12 q^{60}+27 q^{58}+27 q^{56}+30 q^{54}+23 q^{52}+16 q^{50}+11 q^{48}+5 q^{46}+2 q^{44}+q^{42} }[/math] |
A4 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0,0 | [math]\displaystyle{ q^{116}+2 q^{114}-q^{112}-q^{110}+q^{108}-2 q^{106}-6 q^{104}-4 q^{102}-2 q^{100}-4 q^{98}-3 q^{96}+3 q^{94}+7 q^{92}+6 q^{90}+14 q^{88}+18 q^{86}+15 q^{84}+13 q^{82}+12 q^{80}-2 q^{78}-13 q^{76}-21 q^{74}-27 q^{72}-32 q^{70}-30 q^{68}-18 q^{66}-9 q^{64}+q^{62}+10 q^{60}+17 q^{58}+16 q^{56}+17 q^{54}+12 q^{52}+9 q^{50}+6 q^{48}+3 q^{46}+q^{44}+q^{42} }[/math] |
| 1,0,0,0 | [math]\displaystyle{ 2 q^{66}+q^{64}+3 q^{62}+2 q^{60}-2 q^{56}-5 q^{54}-6 q^{52}-7 q^{50}-5 q^{48}-3 q^{46}+q^{44}+2 q^{42}+5 q^{40}+5 q^{38}+4 q^{36}+4 q^{34}+2 q^{32}+q^{30}+q^{28} }[/math] |
B2 Invariants.
| Weight | Invariant |
|---|---|
| 0,1 | [math]\displaystyle{ q^{88}-q^{86}+2 q^{84}-2 q^{82}+q^{80}-q^{78}+q^{74}-2 q^{72}+3 q^{70}-3 q^{68}+3 q^{66}-3 q^{64}+2 q^{62}-2 q^{60}-q^{58}-4 q^{54}+q^{52}-4 q^{50}+q^{48}-2 q^{46}+2 q^{44}+q^{42}+q^{40}+3 q^{38}+q^{36}+3 q^{34}+q^{32}+q^{30}+q^{28} }[/math] |
| 1,0 | [math]\displaystyle{ q^{142}-q^{138}-q^{136}+q^{134}+q^{132}-2 q^{130}-2 q^{128}+2 q^{124}-2 q^{120}+2 q^{116}+q^{114}-q^{112}+3 q^{108}+3 q^{106}+q^{104}+3 q^{100}+3 q^{98}+2 q^{96}-q^{94}-q^{92}-q^{90}-q^{88}-5 q^{86}-6 q^{84}-5 q^{82}-2 q^{80}-4 q^{78}-6 q^{76}-4 q^{74}+q^{70}-q^{68}+2 q^{66}+3 q^{64}+4 q^{62}+2 q^{60}+3 q^{58}+3 q^{56}+4 q^{54}+q^{52}+2 q^{50}+q^{48}+q^{46}+q^{42} }[/math] |
D4 Invariants.
| Weight | Invariant |
|---|---|
| 1,0,0,0 | [math]\displaystyle{ q^{122}-q^{120}+q^{118}-2 q^{116}+q^{114}-2 q^{112}-q^{108}+q^{104}-q^{102}+3 q^{100}-q^{98}+3 q^{96}-2 q^{94}+4 q^{92}+q^{90}+6 q^{88}+4 q^{86}+6 q^{84}+4 q^{82}+2 q^{80}-q^{78}-9 q^{76}-10 q^{74}-16 q^{72}-12 q^{70}-15 q^{68}-8 q^{66}-6 q^{64}+2 q^{62}+6 q^{60}+8 q^{58}+10 q^{56}+9 q^{54}+9 q^{52}+5 q^{50}+5 q^{48}+2 q^{46}+q^{44}+q^{42} }[/math] |
G2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | [math]\displaystyle{ q^{210}-q^{208}+2 q^{206}-3 q^{204}+q^{200}-4 q^{198}+5 q^{196}-5 q^{194}+2 q^{192}+2 q^{190}-6 q^{188}+6 q^{186}-2 q^{184}-q^{182}+8 q^{180}-7 q^{178}+5 q^{176}+3 q^{174}-6 q^{172}+11 q^{170}-8 q^{168}+3 q^{166}+4 q^{164}-6 q^{162}+9 q^{160}-6 q^{158}+2 q^{156}+2 q^{154}-4 q^{152}+3 q^{150}-5 q^{148}+q^{146}+q^{144}-5 q^{142}+3 q^{140}-6 q^{138}+2 q^{134}-11 q^{132}+6 q^{130}-8 q^{128}-q^{126}+3 q^{124}-12 q^{122}+7 q^{120}-4 q^{118}-3 q^{116}+3 q^{114}-7 q^{112}+2 q^{110}+3 q^{108}-3 q^{106}+5 q^{104}-q^{102}+q^{100}+5 q^{98}-2 q^{96}+4 q^{94}+2 q^{92}+2 q^{90}+2 q^{88}+2 q^{86}+q^{84}+3 q^{82}+2 q^{80}+2 q^{76}+q^{74}+q^{72}+q^{70} }[/math] |