Properties

Label 114.2.i.a.43.1
Level $114$
Weight $2$
Character 114.43
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.i (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \( x^{6} - x^{3} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 43.1
Root \(0.939693 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 114.43
Dual form 114.2.i.a.61.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(0.173648 - 0.984808i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.907604 - 0.761570i) q^{5} +(-0.173648 - 0.984808i) q^{6} +(0.733956 + 1.27125i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(0.173648 - 0.984808i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.907604 - 0.761570i) q^{5} +(-0.173648 - 0.984808i) q^{6} +(0.733956 + 1.27125i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +(-1.11334 - 0.405223i) q^{10} +(-0.592396 + 1.02606i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(0.446967 + 2.53487i) q^{13} +(1.12449 + 0.943555i) q^{14} +(-0.907604 + 0.761570i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-2.09240 + 0.761570i) q^{17} -1.00000 q^{18} +(0.819078 + 4.28125i) q^{19} -1.18479 q^{20} +(1.37939 - 0.502055i) q^{21} +(-0.205737 + 1.16679i) q^{22} +(0.907604 - 0.761570i) q^{23} +(-0.766044 - 0.642788i) q^{24} +(-0.624485 - 3.54163i) q^{25} +(1.28699 + 2.22913i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(1.37939 + 0.502055i) q^{28} +(-8.84389 - 3.21891i) q^{29} +(-0.592396 + 1.02606i) q^{30} +(3.96451 + 6.86673i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(0.907604 + 0.761570i) q^{33} +(-1.70574 + 1.43128i) q^{34} +(0.302004 - 1.71275i) q^{35} +(-0.939693 + 0.342020i) q^{36} -0.0641778 q^{37} +(2.23396 + 3.74292i) q^{38} +2.57398 q^{39} +(-1.11334 + 0.405223i) q^{40} +(1.68092 - 9.53298i) q^{41} +(1.12449 - 0.943555i) q^{42} +(-5.55303 - 4.65955i) q^{43} +(0.205737 + 1.16679i) q^{44} +(0.592396 + 1.02606i) q^{45} +(0.592396 - 1.02606i) q^{46} +(4.57145 + 1.66387i) q^{47} +(-0.939693 - 0.342020i) q^{48} +(2.42262 - 4.19610i) q^{49} +(-1.79813 - 3.11446i) q^{50} +(0.386659 + 2.19285i) q^{51} +(1.97178 + 1.65452i) q^{52} +(-1.11334 + 0.934204i) q^{53} +(-0.173648 + 0.984808i) q^{54} +(1.31908 - 0.480105i) q^{55} +1.46791 q^{56} +(4.35844 - 0.0632028i) q^{57} -9.41147 q^{58} +(-1.31908 + 0.480105i) q^{59} +(-0.205737 + 1.16679i) q^{60} +(5.97565 - 5.01417i) q^{61} +(6.07398 + 5.09667i) q^{62} +(-0.254900 - 1.44561i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.52481 - 2.64106i) q^{65} +(1.11334 + 0.405223i) q^{66} +(-8.19119 - 2.98135i) q^{67} +(-1.11334 + 1.92836i) q^{68} +(-0.592396 - 1.02606i) q^{69} +(-0.302004 - 1.71275i) q^{70} +(11.2135 + 9.40923i) q^{71} +(-0.766044 + 0.642788i) q^{72} +(1.13563 - 6.44047i) q^{73} +(-0.0603074 + 0.0219501i) q^{74} -3.59627 q^{75} +(3.37939 + 2.75314i) q^{76} -1.73917 q^{77} +(2.41875 - 0.880352i) q^{78} +(2.24035 - 12.7057i) q^{79} +(-0.907604 + 0.761570i) q^{80} +(0.766044 + 0.642788i) q^{81} +(-1.68092 - 9.53298i) q^{82} +(-1.94949 - 3.37662i) q^{83} +(0.733956 - 1.27125i) q^{84} +(2.47906 + 0.902302i) q^{85} +(-6.81180 - 2.47929i) q^{86} +(-4.70574 + 8.15058i) q^{87} +(0.592396 + 1.02606i) q^{88} +(2.15523 + 12.2229i) q^{89} +(0.907604 + 0.761570i) q^{90} +(-2.89440 + 2.42869i) q^{91} +(0.205737 - 1.16679i) q^{92} +(7.45084 - 2.71188i) q^{93} +4.86484 q^{94} +(2.51707 - 4.50946i) q^{95} -1.00000 q^{96} +(-12.1356 + 4.41701i) q^{97} +(0.841367 - 4.77163i) q^{98} +(0.907604 - 0.761570i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 9 q^{5} + 9 q^{7} + 3 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - 9 q^{5} + 9 q^{7} + 3 q^{8} - 3 q^{12} + 15 q^{13} - 6 q^{14} - 9 q^{15} - 9 q^{17} - 6 q^{18} - 12 q^{19} - 3 q^{21} + 9 q^{22} + 9 q^{23} + 9 q^{25} - 3 q^{27} - 3 q^{28} - 9 q^{29} - 9 q^{31} + 9 q^{33} - 36 q^{35} + 18 q^{37} + 18 q^{38} + 27 q^{41} - 6 q^{42} - 21 q^{43} - 9 q^{44} + 27 q^{47} - 12 q^{49} + 3 q^{50} + 9 q^{51} - 3 q^{52} - 9 q^{55} + 18 q^{56} + 18 q^{57} - 36 q^{58} + 9 q^{59} + 9 q^{60} - 3 q^{61} + 21 q^{62} - 3 q^{63} - 3 q^{64} - 18 q^{65} - 3 q^{67} + 36 q^{70} + 9 q^{71} - 12 q^{73} - 6 q^{74} + 6 q^{75} + 9 q^{76} + 18 q^{77} + 12 q^{78} - 21 q^{79} - 9 q^{80} - 27 q^{82} - 9 q^{83} + 9 q^{84} + 18 q^{85} - 6 q^{86} - 18 q^{87} + 9 q^{90} + 24 q^{91} - 9 q^{92} + 33 q^{93} - 18 q^{94} + 36 q^{95} - 6 q^{96} - 54 q^{97} - 24 q^{98} + 9 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{9}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) 0.173648 0.984808i 0.100256 0.568579i
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −0.907604 0.761570i −0.405893 0.340584i 0.416873 0.908965i \(-0.363126\pi\)
−0.822766 + 0.568380i \(0.807570\pi\)
\(6\) −0.173648 0.984808i −0.0708916 0.402046i
\(7\) 0.733956 + 1.27125i 0.277409 + 0.480487i 0.970740 0.240133i \(-0.0771909\pi\)
−0.693331 + 0.720619i \(0.743858\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −0.939693 0.342020i −0.313231 0.114007i
\(10\) −1.11334 0.405223i −0.352069 0.128143i
\(11\) −0.592396 + 1.02606i −0.178614 + 0.309369i −0.941406 0.337275i \(-0.890495\pi\)
0.762792 + 0.646644i \(0.223828\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) 0.446967 + 2.53487i 0.123966 + 0.703047i 0.981916 + 0.189315i \(0.0606266\pi\)
−0.857950 + 0.513733i \(0.828262\pi\)
\(14\) 1.12449 + 0.943555i 0.300531 + 0.252176i
\(15\) −0.907604 + 0.761570i −0.234342 + 0.196637i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −2.09240 + 0.761570i −0.507481 + 0.184708i −0.583056 0.812432i \(-0.698143\pi\)
0.0755749 + 0.997140i \(0.475921\pi\)
\(18\) −1.00000 −0.235702
\(19\) 0.819078 + 4.28125i 0.187909 + 0.982186i
\(20\) −1.18479 −0.264928
\(21\) 1.37939 0.502055i 0.301007 0.109557i
\(22\) −0.205737 + 1.16679i −0.0438633 + 0.248761i
\(23\) 0.907604 0.761570i 0.189248 0.158798i −0.543241 0.839577i \(-0.682803\pi\)
0.732489 + 0.680779i \(0.238358\pi\)
\(24\) −0.766044 0.642788i −0.156368 0.131208i
\(25\) −0.624485 3.54163i −0.124897 0.708326i
\(26\) 1.28699 + 2.22913i 0.252399 + 0.437168i
\(27\) −0.500000 + 0.866025i −0.0962250 + 0.166667i
\(28\) 1.37939 + 0.502055i 0.260679 + 0.0948795i
\(29\) −8.84389 3.21891i −1.64227 0.597737i −0.654836 0.755771i \(-0.727262\pi\)
−0.987434 + 0.158034i \(0.949485\pi\)
\(30\) −0.592396 + 1.02606i −0.108156 + 0.187332i
\(31\) 3.96451 + 6.86673i 0.712047 + 1.23330i 0.964088 + 0.265584i \(0.0855649\pi\)
−0.252041 + 0.967717i \(0.581102\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) 0.907604 + 0.761570i 0.157994 + 0.132572i
\(34\) −1.70574 + 1.43128i −0.292531 + 0.245463i
\(35\) 0.302004 1.71275i 0.0510479 0.289507i
\(36\) −0.939693 + 0.342020i −0.156615 + 0.0570034i
\(37\) −0.0641778 −0.0105508 −0.00527538 0.999986i \(-0.501679\pi\)
−0.00527538 + 0.999986i \(0.501679\pi\)
\(38\) 2.23396 + 3.74292i 0.362395 + 0.607182i
\(39\) 2.57398 0.412166
\(40\) −1.11334 + 0.405223i −0.176035 + 0.0640714i
\(41\) 1.68092 9.53298i 0.262516 1.48880i −0.513501 0.858089i \(-0.671652\pi\)
0.776017 0.630713i \(-0.217237\pi\)
\(42\) 1.12449 0.943555i 0.173512 0.145594i
\(43\) −5.55303 4.65955i −0.846830 0.710574i 0.112259 0.993679i \(-0.464191\pi\)
−0.959089 + 0.283104i \(0.908636\pi\)
\(44\) 0.205737 + 1.16679i 0.0310160 + 0.175901i
\(45\) 0.592396 + 1.02606i 0.0883092 + 0.152956i
\(46\) 0.592396 1.02606i 0.0873441 0.151284i
\(47\) 4.57145 + 1.66387i 0.666815 + 0.242701i 0.653176 0.757206i \(-0.273436\pi\)
0.0136389 + 0.999907i \(0.495658\pi\)
\(48\) −0.939693 0.342020i −0.135633 0.0493664i
\(49\) 2.42262 4.19610i 0.346088 0.599443i
\(50\) −1.79813 3.11446i −0.254294 0.440451i
\(51\) 0.386659 + 2.19285i 0.0541431 + 0.307061i
\(52\) 1.97178 + 1.65452i 0.273437 + 0.229441i
\(53\) −1.11334 + 0.934204i −0.152929 + 0.128323i −0.716042 0.698057i \(-0.754048\pi\)
0.563113 + 0.826380i \(0.309604\pi\)
\(54\) −0.173648 + 0.984808i −0.0236305 + 0.134015i
\(55\) 1.31908 0.480105i 0.177864 0.0647374i
\(56\) 1.46791 0.196158
\(57\) 4.35844 0.0632028i 0.577290 0.00837141i
\(58\) −9.41147 −1.23579
\(59\) −1.31908 + 0.480105i −0.171729 + 0.0625044i −0.426454 0.904509i \(-0.640237\pi\)
0.254725 + 0.967014i \(0.418015\pi\)
\(60\) −0.205737 + 1.16679i −0.0265605 + 0.150632i
\(61\) 5.97565 5.01417i 0.765104 0.641998i −0.174346 0.984684i \(-0.555781\pi\)
0.939450 + 0.342686i \(0.111337\pi\)
\(62\) 6.07398 + 5.09667i 0.771396 + 0.647278i
\(63\) −0.254900 1.44561i −0.0321144 0.182130i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 1.52481 2.64106i 0.189130 0.327583i
\(66\) 1.11334 + 0.405223i 0.137043 + 0.0498795i
\(67\) −8.19119 2.98135i −1.00071 0.364230i −0.210854 0.977518i \(-0.567624\pi\)
−0.789859 + 0.613288i \(0.789847\pi\)
\(68\) −1.11334 + 1.92836i −0.135012 + 0.233848i
\(69\) −0.592396 1.02606i −0.0713161 0.123523i
\(70\) −0.302004 1.71275i −0.0360963 0.204713i
\(71\) 11.2135 + 9.40923i 1.33079 + 1.11667i 0.983891 + 0.178769i \(0.0572114\pi\)
0.346904 + 0.937901i \(0.387233\pi\)
\(72\) −0.766044 + 0.642788i −0.0902792 + 0.0757532i
\(73\) 1.13563 6.44047i 0.132915 0.753801i −0.843373 0.537328i \(-0.819434\pi\)
0.976289 0.216473i \(-0.0694552\pi\)
\(74\) −0.0603074 + 0.0219501i −0.00701059 + 0.00255165i
\(75\) −3.59627 −0.415261
\(76\) 3.37939 + 2.75314i 0.387642 + 0.315806i
\(77\) −1.73917 −0.198197
\(78\) 2.41875 0.880352i 0.273869 0.0996803i
\(79\) 2.24035 12.7057i 0.252059 1.42950i −0.551450 0.834208i \(-0.685925\pi\)
0.803510 0.595292i \(-0.202963\pi\)
\(80\) −0.907604 + 0.761570i −0.101473 + 0.0851461i
\(81\) 0.766044 + 0.642788i 0.0851160 + 0.0714208i
\(82\) −1.68092 9.53298i −0.185627 1.05274i
\(83\) −1.94949 3.37662i −0.213985 0.370632i 0.738973 0.673735i \(-0.235311\pi\)
−0.952958 + 0.303102i \(0.901978\pi\)
\(84\) 0.733956 1.27125i 0.0800811 0.138705i
\(85\) 2.47906 + 0.902302i 0.268891 + 0.0978684i
\(86\) −6.81180 2.47929i −0.734536 0.267349i
\(87\) −4.70574 + 8.15058i −0.504508 + 0.873833i
\(88\) 0.592396 + 1.02606i 0.0631497 + 0.109378i
\(89\) 2.15523 + 12.2229i 0.228454 + 1.29563i 0.855971 + 0.517024i \(0.172960\pi\)
−0.627517 + 0.778603i \(0.715929\pi\)
\(90\) 0.907604 + 0.761570i 0.0956698 + 0.0802765i
\(91\) −2.89440 + 2.42869i −0.303416 + 0.254596i
\(92\) 0.205737 1.16679i 0.0214496 0.121647i
\(93\) 7.45084 2.71188i 0.772616 0.281209i
\(94\) 4.86484 0.501770
\(95\) 2.51707 4.50946i 0.258246 0.462661i
\(96\) −1.00000 −0.102062
\(97\) −12.1356 + 4.41701i −1.23219 + 0.448479i −0.874346 0.485303i \(-0.838709\pi\)
−0.357841 + 0.933783i \(0.616487\pi\)
\(98\) 0.841367 4.77163i 0.0849909 0.482007i
\(99\) 0.907604 0.761570i 0.0912176 0.0765407i
\(100\) −2.75490 2.31164i −0.275490 0.231164i
\(101\) 2.38578 + 13.5304i 0.237394 + 1.34633i 0.837513 + 0.546418i \(0.184009\pi\)
−0.600118 + 0.799911i \(0.704880\pi\)
\(102\) 1.11334 + 1.92836i 0.110237 + 0.190936i
\(103\) −8.56805 + 14.8403i −0.844235 + 1.46226i 0.0420491 + 0.999116i \(0.486611\pi\)
−0.886284 + 0.463142i \(0.846722\pi\)
\(104\) 2.41875 + 0.880352i 0.237178 + 0.0863256i
\(105\) −1.63429 0.594831i −0.159490 0.0580496i
\(106\) −0.726682 + 1.25865i −0.0705816 + 0.122251i
\(107\) 5.25150 + 9.09586i 0.507681 + 0.879330i 0.999960 + 0.00889246i \(0.00283060\pi\)
−0.492279 + 0.870437i \(0.663836\pi\)
\(108\) 0.173648 + 0.984808i 0.0167093 + 0.0947632i
\(109\) −6.16044 5.16923i −0.590064 0.495122i 0.298171 0.954512i \(-0.403623\pi\)
−0.888234 + 0.459390i \(0.848068\pi\)
\(110\) 1.07532 0.902302i 0.102528 0.0860312i
\(111\) −0.0111444 + 0.0632028i −0.00105778 + 0.00599894i
\(112\) 1.37939 0.502055i 0.130340 0.0474398i
\(113\) −19.1411 −1.80065 −0.900324 0.435220i \(-0.856670\pi\)
−0.900324 + 0.435220i \(0.856670\pi\)
\(114\) 4.07398 1.55007i 0.381563 0.145177i
\(115\) −1.40373 −0.130899
\(116\) −8.84389 + 3.21891i −0.821135 + 0.298869i
\(117\) 0.446967 2.53487i 0.0413221 0.234349i
\(118\) −1.07532 + 0.902302i −0.0989914 + 0.0830637i
\(119\) −2.50387 2.10100i −0.229529 0.192598i
\(120\) 0.205737 + 1.16679i 0.0187811 + 0.106513i
\(121\) 4.79813 + 8.31061i 0.436194 + 0.755510i
\(122\) 3.90033 6.75557i 0.353119 0.611621i
\(123\) −9.09627 3.31077i −0.820183 0.298522i
\(124\) 7.45084 + 2.71188i 0.669105 + 0.243534i
\(125\) −5.09240 + 8.82029i −0.455478 + 0.788911i
\(126\) −0.733956 1.27125i −0.0653860 0.113252i
\(127\) 1.26352 + 7.16577i 0.112119 + 0.635859i 0.988136 + 0.153579i \(0.0490800\pi\)
−0.876017 + 0.482280i \(0.839809\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) −5.55303 + 4.65955i −0.488917 + 0.410250i
\(130\) 0.529563 3.00330i 0.0464457 0.263407i
\(131\) 6.48293 2.35959i 0.566416 0.206159i −0.0429093 0.999079i \(-0.513663\pi\)
0.609325 + 0.792920i \(0.291440\pi\)
\(132\) 1.18479 0.103123
\(133\) −4.84137 + 4.18350i −0.419800 + 0.362755i
\(134\) −8.71688 −0.753024
\(135\) 1.11334 0.405223i 0.0958211 0.0348760i
\(136\) −0.386659 + 2.19285i −0.0331558 + 0.188036i
\(137\) 12.1211 10.1708i 1.03557 0.868950i 0.0440702 0.999028i \(-0.485967\pi\)
0.991504 + 0.130079i \(0.0415230\pi\)
\(138\) −0.907604 0.761570i −0.0772604 0.0648291i
\(139\) −2.68732 15.2405i −0.227935 1.29269i −0.856993 0.515327i \(-0.827670\pi\)
0.629058 0.777358i \(-0.283441\pi\)
\(140\) −0.869585 1.50617i −0.0734934 0.127294i
\(141\) 2.43242 4.21307i 0.204847 0.354805i
\(142\) 13.7554 + 5.00654i 1.15432 + 0.420140i
\(143\) −2.86571 1.04303i −0.239643 0.0872230i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 5.57532 + 9.65674i 0.463005 + 0.801949i
\(146\) −1.13563 6.44047i −0.0939854 0.533018i
\(147\) −3.71167 3.11446i −0.306133 0.256876i
\(148\) −0.0491630 + 0.0412527i −0.00404118 + 0.00339095i
\(149\) 0.386659 2.19285i 0.0316764 0.179646i −0.964865 0.262747i \(-0.915371\pi\)
0.996541 + 0.0831016i \(0.0264826\pi\)
\(150\) −3.37939 + 1.23000i −0.275926 + 0.100429i
\(151\) 6.59627 0.536797 0.268398 0.963308i \(-0.413506\pi\)
0.268398 + 0.963308i \(0.413506\pi\)
\(152\) 4.11721 + 1.43128i 0.333950 + 0.116092i
\(153\) 2.22668 0.180017
\(154\) −1.63429 + 0.594831i −0.131694 + 0.0479329i
\(155\) 1.63129 9.25152i 0.131029 0.743100i
\(156\) 1.97178 1.65452i 0.157869 0.132468i
\(157\) 7.08899 + 5.94837i 0.565763 + 0.474732i 0.880237 0.474534i \(-0.157384\pi\)
−0.314474 + 0.949266i \(0.601828\pi\)
\(158\) −2.24035 12.7057i −0.178233 1.01081i
\(159\) 0.726682 + 1.25865i 0.0576296 + 0.0998174i
\(160\) −0.592396 + 1.02606i −0.0468330 + 0.0811172i
\(161\) 1.63429 + 0.594831i 0.128800 + 0.0468793i
\(162\) 0.939693 + 0.342020i 0.0738292 + 0.0268716i
\(163\) 1.57011 2.71951i 0.122980 0.213008i −0.797961 0.602709i \(-0.794088\pi\)
0.920942 + 0.389700i \(0.127421\pi\)
\(164\) −4.84002 8.38316i −0.377942 0.654615i
\(165\) −0.243756 1.38241i −0.0189764 0.107620i
\(166\) −2.98680 2.50622i −0.231820 0.194520i
\(167\) 12.1591 10.2027i 0.940899 0.789508i −0.0368422 0.999321i \(-0.511730\pi\)
0.977742 + 0.209813i \(0.0672854\pi\)
\(168\) 0.254900 1.44561i 0.0196660 0.111531i
\(169\) 5.99020 2.18025i 0.460785 0.167712i
\(170\) 2.63816 0.202337
\(171\) 0.694593 4.30320i 0.0531168 0.329074i
\(172\) −7.24897 −0.552729
\(173\) −3.25237 + 1.18377i −0.247273 + 0.0900002i −0.462684 0.886524i \(-0.653113\pi\)
0.215410 + 0.976524i \(0.430891\pi\)
\(174\) −1.63429 + 9.26849i −0.123895 + 0.702643i
\(175\) 4.04395 3.39328i 0.305694 0.256508i
\(176\) 0.907604 + 0.761570i 0.0684132 + 0.0574055i
\(177\) 0.243756 + 1.38241i 0.0183218 + 0.103908i
\(178\) 6.20574 + 10.7487i 0.465140 + 0.805646i
\(179\) 0.315207 0.545955i 0.0235597 0.0408066i −0.854005 0.520265i \(-0.825833\pi\)
0.877565 + 0.479458i \(0.159167\pi\)
\(180\) 1.11334 + 0.405223i 0.0829835 + 0.0302035i
\(181\) 11.0778 + 4.03201i 0.823410 + 0.299697i 0.719151 0.694853i \(-0.244531\pi\)
0.104259 + 0.994550i \(0.466753\pi\)
\(182\) −1.88919 + 3.27217i −0.140036 + 0.242549i
\(183\) −3.90033 6.75557i −0.288321 0.499386i
\(184\) −0.205737 1.16679i −0.0151671 0.0860171i
\(185\) 0.0582480 + 0.0488759i 0.00428248 + 0.00359342i
\(186\) 6.07398 5.09667i 0.445366 0.373706i
\(187\) 0.458111 2.59808i 0.0335004 0.189990i
\(188\) 4.57145 1.66387i 0.333407 0.121350i
\(189\) −1.46791 −0.106775
\(190\) 0.822948 5.09840i 0.0597029 0.369877i
\(191\) 11.4192 0.826265 0.413133 0.910671i \(-0.364435\pi\)
0.413133 + 0.910671i \(0.364435\pi\)
\(192\) −0.939693 + 0.342020i −0.0678165 + 0.0246832i
\(193\) 1.64796 9.34602i 0.118622 0.672741i −0.866270 0.499576i \(-0.833489\pi\)
0.984893 0.173166i \(-0.0553996\pi\)
\(194\) −9.89306 + 8.30126i −0.710280 + 0.595996i
\(195\) −2.33615 1.96026i −0.167295 0.140377i
\(196\) −0.841367 4.77163i −0.0600976 0.340830i
\(197\) −3.56758 6.17923i −0.254180 0.440252i 0.710493 0.703705i \(-0.248472\pi\)
−0.964672 + 0.263452i \(0.915139\pi\)
\(198\) 0.592396 1.02606i 0.0420998 0.0729189i
\(199\) 16.6814 + 6.07153i 1.18251 + 0.430399i 0.857089 0.515169i \(-0.172271\pi\)
0.325424 + 0.945568i \(0.394493\pi\)
\(200\) −3.37939 1.23000i −0.238959 0.0869738i
\(201\) −4.35844 + 7.54904i −0.307421 + 0.532468i
\(202\) 6.86959 + 11.8985i 0.483342 + 0.837173i
\(203\) −2.39899 13.6053i −0.168376 0.954907i
\(204\) 1.70574 + 1.43128i 0.119425 + 0.100210i
\(205\) −8.78564 + 7.37203i −0.613616 + 0.514885i
\(206\) −2.97565 + 16.8758i −0.207323 + 1.17579i
\(207\) −1.11334 + 0.405223i −0.0773825 + 0.0281649i
\(208\) 2.57398 0.178473
\(209\) −4.87804 1.69577i −0.337421 0.117299i
\(210\) −1.73917 −0.120014
\(211\) −2.03209 + 0.739620i −0.139895 + 0.0509175i −0.411019 0.911627i \(-0.634827\pi\)
0.271124 + 0.962544i \(0.412605\pi\)
\(212\) −0.252374 + 1.43128i −0.0173331 + 0.0983009i
\(213\) 11.2135 9.40923i 0.768335 0.644709i
\(214\) 8.04576 + 6.75119i 0.549997 + 0.461502i
\(215\) 1.49138 + 8.45805i 0.101711 + 0.576834i
\(216\) 0.500000 + 0.866025i 0.0340207 + 0.0589256i
\(217\) −5.81954 + 10.0797i −0.395056 + 0.684258i
\(218\) −7.55690 2.75049i −0.511818 0.186287i
\(219\) −6.14543 2.23675i −0.415270 0.151146i
\(220\) 0.701867 1.21567i 0.0473198 0.0819604i
\(221\) −2.86571 4.96356i −0.192769 0.333885i
\(222\) 0.0111444 + 0.0632028i 0.000747960 + 0.00424189i
\(223\) −21.6446 18.1619i −1.44943 1.21621i −0.932997 0.359883i \(-0.882817\pi\)
−0.516429 0.856330i \(-0.672739\pi\)
\(224\) 1.12449 0.943555i 0.0751328 0.0630439i
\(225\) −0.624485 + 3.54163i −0.0416323 + 0.236109i
\(226\) −17.9868 + 6.54666i −1.19646 + 0.435477i
\(227\) −21.0232 −1.39536 −0.697680 0.716409i \(-0.745784\pi\)
−0.697680 + 0.716409i \(0.745784\pi\)
\(228\) 3.29813 2.84997i 0.218424 0.188744i
\(229\) 7.96080 0.526064 0.263032 0.964787i \(-0.415277\pi\)
0.263032 + 0.964787i \(0.415277\pi\)
\(230\) −1.31908 + 0.480105i −0.0869774 + 0.0316572i
\(231\) −0.302004 + 1.71275i −0.0198704 + 0.112691i
\(232\) −7.20961 + 6.04958i −0.473334 + 0.397174i
\(233\) 11.2515 + 9.44113i 0.737110 + 0.618509i 0.932060 0.362304i \(-0.118010\pi\)
−0.194950 + 0.980813i \(0.562454\pi\)
\(234\) −0.446967 2.53487i −0.0292191 0.165710i
\(235\) −2.88191 4.99162i −0.187995 0.325617i
\(236\) −0.701867 + 1.21567i −0.0456876 + 0.0791333i
\(237\) −12.1236 4.41263i −0.787513 0.286631i
\(238\) −3.07145 1.11792i −0.199093 0.0724638i
\(239\) −7.86484 + 13.6223i −0.508734 + 0.881153i 0.491215 + 0.871038i \(0.336553\pi\)
−0.999949 + 0.0101147i \(0.996780\pi\)
\(240\) 0.592396 + 1.02606i 0.0382390 + 0.0662319i
\(241\) 1.71079 + 9.70237i 0.110202 + 0.624985i 0.989015 + 0.147818i \(0.0472250\pi\)
−0.878813 + 0.477166i \(0.841664\pi\)
\(242\) 7.35117 + 6.16836i 0.472551 + 0.396517i
\(243\) 0.766044 0.642788i 0.0491418 0.0412348i
\(244\) 1.35457 7.68215i 0.0867175 0.491799i
\(245\) −5.39440 + 1.96340i −0.344636 + 0.125437i
\(246\) −9.68004 −0.617177
\(247\) −10.4863 + 3.98983i −0.667229 + 0.253867i
\(248\) 7.92902 0.503493
\(249\) −3.66385 + 1.33353i −0.232187 + 0.0845091i
\(250\) −1.76857 + 10.0301i −0.111854 + 0.634357i
\(251\) 3.54117 2.97140i 0.223517 0.187553i −0.524152 0.851625i \(-0.675618\pi\)
0.747669 + 0.664072i \(0.231173\pi\)
\(252\) −1.12449 0.943555i −0.0708359 0.0594384i
\(253\) 0.243756 + 1.38241i 0.0153248 + 0.0869112i
\(254\) 3.63816 + 6.30147i 0.228278 + 0.395389i
\(255\) 1.31908 2.28471i 0.0826039 0.143074i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 2.83527 + 1.03196i 0.176860 + 0.0643716i 0.428932 0.903337i \(-0.358890\pi\)
−0.252073 + 0.967708i \(0.581112\pi\)
\(258\) −3.62449 + 6.27779i −0.225651 + 0.390838i
\(259\) −0.0471036 0.0815859i −0.00292688 0.00506950i
\(260\) −0.529563 3.00330i −0.0328421 0.186257i
\(261\) 7.20961 + 6.04958i 0.446263 + 0.374460i
\(262\) 5.28493 4.43458i 0.326504 0.273969i
\(263\) −0.869585 + 4.93166i −0.0536209 + 0.304099i −0.999810 0.0195163i \(-0.993787\pi\)
0.946189 + 0.323616i \(0.104898\pi\)
\(264\) 1.11334 0.405223i 0.0685214 0.0249397i
\(265\) 1.72193 0.105778
\(266\) −3.11856 + 5.58705i −0.191211 + 0.342564i
\(267\) 12.4115 0.759570
\(268\) −8.19119 + 2.98135i −0.500357 + 0.182115i
\(269\) −4.26945 + 24.2132i −0.260313 + 1.47631i 0.521745 + 0.853102i \(0.325281\pi\)
−0.782058 + 0.623206i \(0.785830\pi\)
\(270\) 0.907604 0.761570i 0.0552350 0.0463477i
\(271\) −1.28699 1.07991i −0.0781790 0.0656000i 0.602861 0.797846i \(-0.294027\pi\)
−0.681040 + 0.732246i \(0.738472\pi\)
\(272\) 0.386659 + 2.19285i 0.0234447 + 0.132961i
\(273\) 1.88919 + 3.27217i 0.114339 + 0.198040i
\(274\) 7.91147 13.7031i 0.477950 0.827833i
\(275\) 4.00387 + 1.45729i 0.241442 + 0.0878779i
\(276\) −1.11334 0.405223i −0.0670152 0.0243916i
\(277\) 14.9907 25.9646i 0.900702 1.56006i 0.0741168 0.997250i \(-0.476386\pi\)
0.826585 0.562812i \(-0.190280\pi\)
\(278\) −7.73783 13.4023i −0.464084 0.803817i
\(279\) −1.37686 7.80856i −0.0824304 0.467486i
\(280\) −1.33228 1.11792i −0.0796191 0.0668083i
\(281\) 13.4914 11.3206i 0.804828 0.675331i −0.144539 0.989499i \(-0.546170\pi\)
0.949367 + 0.314168i \(0.101725\pi\)
\(282\) 0.844770 4.79093i 0.0503053 0.285296i
\(283\) −14.9547 + 5.44307i −0.888965 + 0.323557i −0.745822 0.666145i \(-0.767943\pi\)
−0.143143 + 0.989702i \(0.545721\pi\)
\(284\) 14.6382 0.868615
\(285\) −4.00387 3.26189i −0.237169 0.193218i
\(286\) −3.04963 −0.180328
\(287\) 13.3525 4.85992i 0.788174 0.286872i
\(288\) −0.173648 + 0.984808i −0.0102323 + 0.0580304i
\(289\) −9.22462 + 7.74038i −0.542625 + 0.455316i
\(290\) 8.54189 + 7.16750i 0.501597 + 0.420890i
\(291\) 2.24257 + 12.7183i 0.131462 + 0.745558i
\(292\) −3.26991 5.66366i −0.191357 0.331441i
\(293\) −0.134285 + 0.232589i −0.00784503 + 0.0135880i −0.869921 0.493191i \(-0.835831\pi\)
0.862076 + 0.506779i \(0.169164\pi\)
\(294\) −4.55303 1.65717i −0.265538 0.0966480i
\(295\) 1.56283 + 0.568825i 0.0909917 + 0.0331183i
\(296\) −0.0320889 + 0.0555796i −0.00186513 + 0.00323050i
\(297\) −0.592396 1.02606i −0.0343743 0.0595381i
\(298\) −0.386659 2.19285i −0.0223986 0.127029i
\(299\) 2.33615 + 1.96026i 0.135103 + 0.113365i
\(300\) −2.75490 + 2.31164i −0.159054 + 0.133462i
\(301\) 1.84776 10.4792i 0.106503 0.604010i
\(302\) 6.19846 2.25606i 0.356681 0.129821i
\(303\) 13.7392 0.789295
\(304\) 4.35844 0.0632028i 0.249974 0.00362493i
\(305\) −9.24216 −0.529205
\(306\) 2.09240 0.761570i 0.119614 0.0435361i
\(307\) −0.0992034 + 0.562610i −0.00566184 + 0.0321099i −0.987508 0.157570i \(-0.949634\pi\)
0.981846 + 0.189680i \(0.0607451\pi\)
\(308\) −1.33228 + 1.11792i −0.0759138 + 0.0636992i
\(309\) 13.1270 + 11.0149i 0.746770 + 0.626614i
\(310\) −1.63129 9.25152i −0.0926512 0.525451i
\(311\) −7.17617 12.4295i −0.406924 0.704812i 0.587620 0.809137i \(-0.300065\pi\)
−0.994543 + 0.104325i \(0.966732\pi\)
\(312\) 1.28699 2.22913i 0.0728614 0.126200i
\(313\) 2.25877 + 0.822125i 0.127673 + 0.0464693i 0.405067 0.914287i \(-0.367248\pi\)
−0.277393 + 0.960756i \(0.589471\pi\)
\(314\) 8.69594 + 3.16506i 0.490740 + 0.178615i
\(315\) −0.869585 + 1.50617i −0.0489956 + 0.0848628i
\(316\) −6.45084 11.1732i −0.362888 0.628540i
\(317\) 2.44104 + 13.8438i 0.137102 + 0.777546i 0.973373 + 0.229228i \(0.0736203\pi\)
−0.836270 + 0.548317i \(0.815269\pi\)
\(318\) 1.11334 + 0.934204i 0.0624331 + 0.0523876i
\(319\) 8.54189 7.16750i 0.478254 0.401303i
\(320\) −0.205737 + 1.16679i −0.0115011 + 0.0652257i
\(321\) 9.86959 3.59224i 0.550867 0.200499i
\(322\) 1.73917 0.0969202
\(323\) −4.97431 8.33429i −0.276778 0.463732i
\(324\) 1.00000 0.0555556
\(325\) 8.69846 3.16598i 0.482504 0.175617i
\(326\) 0.545293 3.09251i 0.0302010 0.171278i
\(327\) −6.16044 + 5.16923i −0.340673 + 0.285859i
\(328\) −7.41534 6.22221i −0.409444 0.343564i
\(329\) 1.24005 + 7.03266i 0.0683660 + 0.387723i
\(330\) −0.701867 1.21567i −0.0386365 0.0669204i
\(331\) −13.4213 + 23.2463i −0.737700 + 1.27773i 0.215829 + 0.976431i \(0.430755\pi\)
−0.953529 + 0.301303i \(0.902579\pi\)
\(332\) −3.66385 1.33353i −0.201080 0.0731871i
\(333\) 0.0603074 + 0.0219501i 0.00330482 + 0.00120286i
\(334\) 7.93629 13.7461i 0.434254 0.752151i
\(335\) 5.16385 + 8.94405i 0.282131 + 0.488665i
\(336\) −0.254900 1.44561i −0.0139059 0.0788645i
\(337\) −16.0266 13.4479i −0.873026 0.732556i 0.0917071 0.995786i \(-0.470768\pi\)
−0.964733 + 0.263230i \(0.915212\pi\)
\(338\) 4.88326 4.09754i 0.265614 0.222877i
\(339\) −3.32383 + 18.8504i −0.180525 + 1.02381i
\(340\) 2.47906 0.902302i 0.134446 0.0489342i
\(341\) −9.39424 −0.508727
\(342\) −0.819078 4.28125i −0.0442907 0.231504i
\(343\) 17.3878 0.938851
\(344\) −6.81180 + 2.47929i −0.367268 + 0.133675i
\(345\) −0.243756 + 1.38241i −0.0131234 + 0.0744263i
\(346\) −2.65136 + 2.22475i −0.142538 + 0.119604i
\(347\) −25.7670 21.6211i −1.38324 1.16068i −0.967994 0.250972i \(-0.919250\pi\)
−0.415249 0.909708i \(-0.636306\pi\)
\(348\) 1.63429 + 9.26849i 0.0876069 + 0.496843i
\(349\) −13.5758 23.5140i −0.726695 1.25867i −0.958272 0.285857i \(-0.907722\pi\)
0.231577 0.972817i \(-0.425611\pi\)
\(350\) 2.63950 4.57175i 0.141087 0.244370i
\(351\) −2.41875 0.880352i −0.129103 0.0469897i
\(352\) 1.11334 + 0.405223i 0.0593413 + 0.0215985i
\(353\) 8.37258 14.5017i 0.445627 0.771849i −0.552468 0.833534i \(-0.686314\pi\)
0.998096 + 0.0616847i \(0.0196473\pi\)
\(354\) 0.701867 + 1.21567i 0.0373038 + 0.0646121i
\(355\) −3.01161 17.0797i −0.159840 0.906496i
\(356\) 9.50774 + 7.97794i 0.503909 + 0.422830i
\(357\) −2.50387 + 2.10100i −0.132519 + 0.111197i
\(358\) 0.109470 0.620838i 0.00578569 0.0328123i
\(359\) 4.45336 1.62089i 0.235040 0.0855474i −0.221815 0.975089i \(-0.571198\pi\)
0.456855 + 0.889541i \(0.348976\pi\)
\(360\) 1.18479 0.0624440
\(361\) −17.6582 + 7.01336i −0.929380 + 0.369124i
\(362\) 11.7888 0.619606
\(363\) 9.01754 3.28212i 0.473298 0.172266i
\(364\) −0.656107 + 3.72097i −0.0343894 + 0.195032i
\(365\) −5.93557 + 4.98054i −0.310682 + 0.260693i
\(366\) −5.97565 5.01417i −0.312352 0.262095i
\(367\) 1.52687 + 8.65933i 0.0797022 + 0.452014i 0.998375 + 0.0569932i \(0.0181513\pi\)
−0.918672 + 0.395020i \(0.870738\pi\)
\(368\) −0.592396 1.02606i −0.0308808 0.0534871i
\(369\) −4.84002 + 8.38316i −0.251962 + 0.436410i
\(370\) 0.0714517 + 0.0260063i 0.00371460 + 0.00135200i
\(371\) −2.00475 0.729669i −0.104081 0.0378825i
\(372\) 3.96451 6.86673i 0.205550 0.356023i
\(373\) 4.72281 + 8.18015i 0.244538 + 0.423552i 0.962002 0.273044i \(-0.0880304\pi\)
−0.717464 + 0.696596i \(0.754697\pi\)
\(374\) −0.458111 2.59808i −0.0236884 0.134343i
\(375\) 7.80200 + 6.54666i 0.402894 + 0.338068i
\(376\) 3.72668 3.12706i 0.192189 0.161266i
\(377\) 4.20661 23.8569i 0.216652 1.22869i
\(378\) −1.37939 + 0.502055i −0.0709479 + 0.0258229i
\(379\) 36.9077 1.89582 0.947910 0.318540i \(-0.103192\pi\)
0.947910 + 0.318540i \(0.103192\pi\)
\(380\) −0.970437 5.07239i −0.0497824 0.260208i
\(381\) 7.27631 0.372777
\(382\) 10.7306 3.90560i 0.549023 0.199828i
\(383\) −5.11721 + 29.0211i −0.261477 + 1.48291i 0.517405 + 0.855741i \(0.326898\pi\)
−0.778882 + 0.627171i \(0.784213\pi\)
\(384\) −0.766044 + 0.642788i −0.0390920 + 0.0328021i
\(385\) 1.57848 + 1.32450i 0.0804467 + 0.0675028i
\(386\) −1.64796 9.34602i −0.0838787 0.475700i
\(387\) 3.62449 + 6.27779i 0.184243 + 0.319118i
\(388\) −6.45723 + 11.1843i −0.327816 + 0.567795i
\(389\) −16.6211 6.04958i −0.842722 0.306726i −0.115653 0.993290i \(-0.536896\pi\)
−0.727069 + 0.686564i \(0.759118\pi\)
\(390\) −2.86571 1.04303i −0.145111 0.0528161i
\(391\) −1.31908 + 2.28471i −0.0667086 + 0.115543i
\(392\) −2.42262 4.19610i −0.122361 0.211935i
\(393\) −1.19800 6.79417i −0.0604309 0.342721i
\(394\) −5.46585 4.58639i −0.275366 0.231059i
\(395\) −11.7096 + 9.82553i −0.589174 + 0.494376i
\(396\) 0.205737 1.16679i 0.0103387 0.0586335i
\(397\) −11.8302 + 4.30585i −0.593742 + 0.216104i −0.621374 0.783514i \(-0.713425\pi\)
0.0276326 + 0.999618i \(0.491203\pi\)
\(398\) 17.7520 0.889826
\(399\) 3.27925 + 5.49427i 0.164168 + 0.275058i
\(400\) −3.59627 −0.179813
\(401\) 22.6211 8.23340i 1.12964 0.411156i 0.291480 0.956577i \(-0.405852\pi\)
0.838163 + 0.545420i \(0.183630\pi\)
\(402\) −1.51367 + 8.58445i −0.0754950 + 0.428154i
\(403\) −15.6343 + 13.1187i −0.778799 + 0.653490i
\(404\) 10.5248 + 8.83137i 0.523629 + 0.439377i
\(405\) −0.205737 1.16679i −0.0102232 0.0579784i
\(406\) −6.90760 11.9643i −0.342819 0.593779i
\(407\) 0.0380187 0.0658503i 0.00188452 0.00326408i
\(408\) 2.09240 + 0.761570i 0.103589 + 0.0377033i
\(409\) 33.2276 + 12.0939i 1.64300 + 0.598003i 0.987560 0.157244i \(-0.0502610\pi\)
0.655440 + 0.755247i \(0.272483\pi\)
\(410\) −5.73442 + 9.93231i −0.283203 + 0.490522i
\(411\) −7.91147 13.7031i −0.390244 0.675923i
\(412\) 2.97565 + 16.8758i 0.146600 + 0.831409i
\(413\) −1.57848 1.32450i −0.0776718 0.0651744i
\(414\) −0.907604 + 0.761570i −0.0446063 + 0.0374291i
\(415\) −0.802166 + 4.54931i −0.0393768 + 0.223317i
\(416\) 2.41875 0.880352i 0.118589 0.0431628i
\(417\) −15.4757 −0.757846
\(418\) −5.16385 + 0.0748822i −0.252572 + 0.00366261i
\(419\) 4.57903 0.223700 0.111850 0.993725i \(-0.464322\pi\)
0.111850 + 0.993725i \(0.464322\pi\)
\(420\) −1.63429 + 0.594831i −0.0797450 + 0.0290248i
\(421\) 0.0482857 0.273842i 0.00235330 0.0133462i −0.983608 0.180317i \(-0.942288\pi\)
0.985962 + 0.166971i \(0.0533987\pi\)
\(422\) −1.65657 + 1.39003i −0.0806408 + 0.0676656i
\(423\) −3.72668 3.12706i −0.181197 0.152043i
\(424\) 0.252374 + 1.43128i 0.0122564 + 0.0695093i
\(425\) 4.00387 + 6.93491i 0.194216 + 0.336392i
\(426\) 7.31908 12.6770i 0.354610 0.614203i
\(427\) 10.7601 + 3.91636i 0.520718 + 0.189526i
\(428\) 9.86959 + 3.59224i 0.477064 + 0.173637i
\(429\) −1.52481 + 2.64106i −0.0736188 + 0.127511i
\(430\) 4.29426 + 7.43788i 0.207088 + 0.358687i
\(431\) −2.08079 11.8007i −0.100228 0.568421i −0.993019 0.117951i \(-0.962368\pi\)
0.892792 0.450470i \(-0.148744\pi\)
\(432\) 0.766044 + 0.642788i 0.0368563 + 0.0309261i
\(433\) −22.3286 + 18.7359i −1.07305 + 0.900392i −0.995325 0.0965831i \(-0.969209\pi\)
−0.0777205 + 0.996975i \(0.524764\pi\)
\(434\) −2.02111 + 11.4623i −0.0970162 + 0.550206i
\(435\) 10.4782 3.81374i 0.502390 0.182855i
\(436\) −8.04189 −0.385137
\(437\) 4.00387 + 3.26189i 0.191531 + 0.156038i
\(438\) −6.53983 −0.312485
\(439\) −5.91787 + 2.15393i −0.282445 + 0.102801i −0.479358 0.877619i \(-0.659130\pi\)
0.196913 + 0.980421i \(0.436908\pi\)
\(440\) 0.243756 1.38241i 0.0116206 0.0659037i
\(441\) −3.71167 + 3.11446i −0.176746 + 0.148308i
\(442\) −4.39053 3.68409i −0.208836 0.175234i
\(443\) 3.62583 + 20.5631i 0.172268 + 0.976982i 0.941250 + 0.337711i \(0.109653\pi\)
−0.768981 + 0.639271i \(0.779236\pi\)
\(444\) 0.0320889 + 0.0555796i 0.00152287 + 0.00263769i
\(445\) 7.35251 12.7349i 0.348542 0.603693i
\(446\) −26.5510 9.66376i −1.25723 0.457592i
\(447\) −2.09240 0.761570i −0.0989669 0.0360210i
\(448\) 0.733956 1.27125i 0.0346761 0.0600608i
\(449\) −20.6878 35.8323i −0.976317 1.69103i −0.675519 0.737343i \(-0.736080\pi\)
−0.300798 0.953688i \(-0.597253\pi\)
\(450\) 0.624485 + 3.54163i 0.0294385 + 0.166954i
\(451\) 8.78564 + 7.37203i 0.413700 + 0.347135i
\(452\) −14.6630 + 12.3037i −0.689688 + 0.578717i
\(453\) 1.14543 6.49605i 0.0538170 0.305211i
\(454\) −19.7554 + 7.19037i −0.927165 + 0.337461i
\(455\) 4.47659 0.209866
\(456\) 2.12449 3.80612i 0.0994881 0.178238i
\(457\) −27.6245 −1.29222 −0.646111 0.763244i \(-0.723606\pi\)
−0.646111 + 0.763244i \(0.723606\pi\)
\(458\) 7.48070 2.72275i 0.349550 0.127226i
\(459\) 0.386659 2.19285i 0.0180477 0.102354i
\(460\) −1.07532 + 0.902302i −0.0501372 + 0.0420701i
\(461\) −14.1800 11.8985i −0.660431 0.554167i 0.249785 0.968301i \(-0.419640\pi\)
−0.910216 + 0.414134i \(0.864084\pi\)
\(462\) 0.302004 + 1.71275i 0.0140505 + 0.0796843i
\(463\) 1.80928 + 3.13376i 0.0840843 + 0.145638i 0.905001 0.425410i \(-0.139870\pi\)
−0.820916 + 0.571048i \(0.806537\pi\)
\(464\) −4.70574 + 8.15058i −0.218458 + 0.378381i
\(465\) −8.82770 3.21302i −0.409375 0.149000i
\(466\) 13.8020 + 5.02352i 0.639365 + 0.232710i
\(467\) 7.20099 12.4725i 0.333222 0.577158i −0.649920 0.760003i \(-0.725197\pi\)
0.983142 + 0.182845i \(0.0585308\pi\)
\(468\) −1.28699 2.22913i −0.0594911 0.103042i
\(469\) −2.22193 12.6012i −0.102599 0.581870i
\(470\) −4.41534 3.70491i −0.203665 0.170895i
\(471\) 7.08899 5.94837i 0.326644 0.274086i
\(472\) −0.243756 + 1.38241i −0.0112198 + 0.0636305i
\(473\) 8.07057 2.93745i 0.371085 0.135064i
\(474\) −12.9017 −0.592594
\(475\) 14.6511 5.57445i 0.672239 0.255773i
\(476\) −3.26857 −0.149815
\(477\) 1.36571 0.497079i 0.0625318 0.0227597i
\(478\) −2.73143 + 15.4907i −0.124933 + 0.708528i
\(479\) −24.4029 + 20.4764i −1.11499 + 0.935592i −0.998341 0.0575808i \(-0.981661\pi\)
−0.116654 + 0.993173i \(0.537217\pi\)
\(480\) 0.907604 + 0.761570i 0.0414263 + 0.0347608i
\(481\) −0.0286853 0.162683i −0.00130794 0.00741768i
\(482\) 4.92602 + 8.53212i 0.224374 + 0.388627i
\(483\) 0.869585 1.50617i 0.0395675 0.0685329i
\(484\) 9.01754 + 3.28212i 0.409888 + 0.149187i
\(485\) 14.3782 + 5.23324i 0.652881 + 0.237629i
\(486\) 0.500000 0.866025i 0.0226805 0.0392837i
\(487\) 9.87346 + 17.1013i 0.447409 + 0.774935i 0.998217 0.0596972i \(-0.0190135\pi\)
−0.550808 + 0.834632i \(0.685680\pi\)
\(488\) −1.35457 7.68215i −0.0613185 0.347755i
\(489\) −2.40554 2.01849i −0.108782 0.0912793i
\(490\) −4.39756 + 3.68999i −0.198661 + 0.166697i
\(491\) −5.06758 + 28.7397i −0.228697 + 1.29700i 0.626794 + 0.779185i \(0.284367\pi\)
−0.855491 + 0.517818i \(0.826744\pi\)
\(492\) −9.09627 + 3.31077i −0.410091 + 0.149261i
\(493\) 20.9564 0.943827
\(494\) −8.48932 + 7.33575i −0.381953 + 0.330051i
\(495\) −1.40373 −0.0630931
\(496\) 7.45084 2.71188i 0.334552 0.121767i
\(497\) −3.73127 + 21.1611i −0.167370 + 0.949204i
\(498\) −2.98680 + 2.50622i −0.133842 + 0.112306i
\(499\) −4.12449 3.46085i −0.184637 0.154929i 0.545784 0.837926i \(-0.316232\pi\)
−0.730421 + 0.682997i \(0.760676\pi\)
\(500\) 1.76857 + 10.0301i 0.0790929 + 0.448558i
\(501\) −7.93629 13.7461i −0.354567 0.614128i
\(502\) 2.31134 4.00335i 0.103160 0.178678i
\(503\) −23.1040 8.40917i −1.03016 0.374946i −0.229016 0.973423i \(-0.573551\pi\)
−0.801141 + 0.598476i \(0.795773\pi\)
\(504\) −1.37939 0.502055i −0.0614427 0.0223633i
\(505\) 8.13903 14.0972i 0.362182 0.627318i
\(506\) 0.701867 + 1.21567i 0.0312018 + 0.0540431i
\(507\) −1.10694 6.27779i −0.0491611 0.278807i
\(508\) 5.57398 + 4.67712i 0.247305 + 0.207514i
\(509\) −3.64362 + 3.05736i −0.161501 + 0.135515i −0.719957 0.694019i \(-0.755838\pi\)
0.558456 + 0.829534i \(0.311394\pi\)
\(510\) 0.458111 2.59808i 0.0202855 0.115045i
\(511\) 9.02094 3.28336i 0.399063 0.145247i
\(512\) −1.00000 −0.0441942
\(513\) −4.11721 1.43128i −0.181779 0.0631927i
\(514\) 3.01724 0.133085
\(515\) 19.0783 6.94394i 0.840691 0.305987i
\(516\) −1.25877 + 7.13884i −0.0554143 + 0.314270i
\(517\) −4.41534 + 3.70491i −0.194187 + 0.162942i
\(518\) −0.0721670 0.0605553i −0.00317083 0.00266065i
\(519\) 0.601014 + 3.40852i 0.0263816 + 0.149618i
\(520\) −1.52481 2.64106i −0.0668676 0.115818i
\(521\) 14.8145 25.6595i 0.649035 1.12416i −0.334319 0.942460i \(-0.608506\pi\)
0.983354 0.181701i \(-0.0581603\pi\)
\(522\) 8.84389 + 3.21891i 0.387087 + 0.140888i
\(523\) 10.0890 + 3.67209i 0.441161 + 0.160569i 0.553044 0.833152i \(-0.313466\pi\)
−0.111883 + 0.993721i \(0.535688\pi\)
\(524\) 3.44949 5.97470i 0.150692 0.261006i
\(525\) −2.63950 4.57175i −0.115197 0.199527i
\(526\) 0.869585 + 4.93166i 0.0379157 + 0.215031i
\(527\) −13.5248 11.3487i −0.589150 0.494356i
\(528\) 0.907604 0.761570i 0.0394984 0.0331431i
\(529\) −3.75015 + 21.2682i −0.163050 + 0.924703i
\(530\) 1.61809 0.588936i 0.0702853 0.0255817i
\(531\) 1.40373 0.0609168
\(532\) −1.01960 + 6.31672i −0.0442053 + 0.273864i
\(533\) 24.9162 1.07924
\(534\) 11.6630 4.24497i 0.504706 0.183698i
\(535\) 2.16085 12.2548i 0.0934219 0.529822i
\(536\) −6.67752 + 5.60310i −0.288425 + 0.242017i
\(537\) −0.482926 0.405223i −0.0208398 0.0174867i
\(538\) 4.26945 + 24.2132i 0.184069 + 1.04391i
\(539\) 2.87030 + 4.97151i 0.123633 + 0.214138i
\(540\) 0.592396 1.02606i 0.0254927 0.0441546i
\(541\) −27.8209 10.1260i −1.19611 0.435350i −0.334247 0.942485i \(-0.608482\pi\)
−0.861866 + 0.507136i \(0.830704\pi\)
\(542\) −1.57873 0.574609i −0.0678121 0.0246816i
\(543\) 5.89440 10.2094i 0.252953 0.438127i
\(544\) 1.11334 + 1.92836i 0.0477341 + 0.0826779i
\(545\) 1.65451 + 9.38322i 0.0708716 + 0.401933i
\(546\) 2.89440 + 2.42869i 0.123869 + 0.103938i
\(547\) 10.2365 8.58943i 0.437680 0.367257i −0.397160 0.917749i \(-0.630004\pi\)
0.834841 + 0.550492i \(0.185560\pi\)
\(548\) 2.74763 15.5826i 0.117373 0.665654i
\(549\) −7.33022 + 2.66798i −0.312846 + 0.113867i
\(550\) 4.26083 0.181682
\(551\) 6.53714 40.4995i 0.278492 1.72534i
\(552\) −1.18479 −0.0504281
\(553\) 17.7964 6.47735i 0.756779 0.275445i
\(554\) 5.20620 29.5258i 0.221190 1.25443i
\(555\) 0.0582480 0.0488759i 0.00247249 0.00207466i
\(556\) −11.8550 9.94756i −0.502766 0.421870i
\(557\) −0.589403 3.34267i −0.0249738 0.141634i 0.969771 0.244015i \(-0.0784647\pi\)
−0.994745 + 0.102382i \(0.967354\pi\)
\(558\) −3.96451 6.86673i −0.167831 0.290692i
\(559\) 9.32934 16.1589i 0.394589 0.683449i
\(560\) −1.63429 0.594831i −0.0690612 0.0251362i
\(561\) −2.47906 0.902302i −0.104666 0.0380952i
\(562\) 8.80587 15.2522i 0.371453 0.643376i
\(563\) 20.7724 + 35.9789i 0.875454 + 1.51633i 0.856278 + 0.516515i \(0.172771\pi\)
0.0191757 + 0.999816i \(0.493896\pi\)
\(564\) −0.844770 4.79093i −0.0355712 0.201735i
\(565\) 17.3726 + 14.5773i 0.730870 + 0.613273i
\(566\) −12.1912 + 10.2296i −0.512434 + 0.429983i
\(567\) −0.254900 + 1.44561i −0.0107048 + 0.0607099i
\(568\) 13.7554 5.00654i 0.577162 0.210070i
\(569\) 2.17705 0.0912668 0.0456334 0.998958i \(-0.485469\pi\)
0.0456334 + 0.998958i \(0.485469\pi\)
\(570\) −4.87804 1.69577i −0.204319 0.0710281i
\(571\) −2.50980 −0.105032 −0.0525159 0.998620i \(-0.516724\pi\)
−0.0525159 + 0.998620i \(0.516724\pi\)
\(572\) −2.86571 + 1.04303i −0.119822 + 0.0436115i
\(573\) 1.98293 11.2457i 0.0828379 0.469797i
\(574\) 10.8851 9.13366i 0.454334 0.381231i
\(575\) −3.26399 2.73881i −0.136118 0.114216i
\(576\) 0.173648 + 0.984808i 0.00723534 + 0.0410337i
\(577\) −5.75537 9.96859i −0.239599 0.414998i 0.721000 0.692935i \(-0.243683\pi\)
−0.960599 + 0.277937i \(0.910349\pi\)
\(578\) −6.02094 + 10.4286i −0.250438 + 0.433772i
\(579\) −8.91787 3.24584i −0.370614 0.134892i
\(580\) 10.4782 + 3.81374i 0.435083 + 0.158357i
\(581\) 2.86168 4.95658i 0.118723 0.205634i
\(582\) 6.45723 + 11.1843i 0.267661 + 0.463602i
\(583\) −0.299011 1.69577i −0.0123838 0.0702318i
\(584\) −5.00980 4.20372i −0.207307 0.173951i
\(585\) −2.33615 + 1.96026i −0.0965880 + 0.0810470i
\(586\) −0.0466368 + 0.264490i −0.00192655 + 0.0109260i
\(587\) −15.6887 + 5.71021i −0.647540 + 0.235685i −0.644848 0.764311i \(-0.723079\pi\)
−0.00269254 + 0.999996i \(0.500857\pi\)
\(588\) −4.84524 −0.199814
\(589\) −26.1509 + 22.5974i −1.07753 + 0.931111i
\(590\) 1.66313 0.0684701
\(591\) −6.70486 + 2.44037i −0.275801 + 0.100383i
\(592\) −0.0111444 + 0.0632028i −0.000458030 + 0.00259762i
\(593\) 34.1544 28.6589i 1.40255 1.17688i 0.442598 0.896720i \(-0.354057\pi\)
0.959953 0.280160i \(-0.0903875\pi\)
\(594\) −0.907604 0.761570i −0.0372394 0.0312476i
\(595\) 0.672466 + 3.81374i 0.0275684 + 0.156348i
\(596\) −1.11334 1.92836i −0.0456042 0.0789888i
\(597\) 8.87598 15.3737i 0.363270 0.629202i
\(598\) 2.86571 + 1.04303i 0.117188 + 0.0426529i
\(599\) 7.99912 + 2.91144i 0.326835 + 0.118958i 0.500226 0.865895i \(-0.333250\pi\)
−0.173391 + 0.984853i \(0.555472\pi\)
\(600\) −1.79813 + 3.11446i −0.0734085 + 0.127147i
\(601\) −16.7613 29.0314i −0.683708 1.18422i −0.973841 0.227230i \(-0.927033\pi\)
0.290134 0.956986i \(-0.406300\pi\)
\(602\) −1.84776 10.4792i −0.0753092 0.427100i
\(603\) 6.67752 + 5.60310i 0.271930 + 0.228176i
\(604\) 5.05303 4.24000i 0.205605 0.172523i
\(605\) 1.97431 11.1969i 0.0802670 0.455217i
\(606\) 12.9106 4.69907i 0.524457 0.190887i
\(607\) 1.89393 0.0768724 0.0384362 0.999261i \(-0.487762\pi\)
0.0384362 + 0.999261i \(0.487762\pi\)
\(608\) 4.07398 1.55007i 0.165222 0.0628635i
\(609\) −13.8152 −0.559820
\(610\) −8.68479 + 3.16101i −0.351637 + 0.127985i
\(611\) −2.17442 + 12.3317i −0.0879676 + 0.498889i
\(612\) 1.70574 1.43128i 0.0689503 0.0578562i
\(613\) 6.50799 + 5.46085i 0.262855 + 0.220562i 0.764684 0.644405i \(-0.222895\pi\)
−0.501829 + 0.864967i \(0.667339\pi\)
\(614\) 0.0992034 + 0.562610i 0.00400352 + 0.0227051i
\(615\) 5.73442 + 9.93231i 0.231234 + 0.400509i
\(616\) −0.869585 + 1.50617i −0.0350366 + 0.0606851i
\(617\) 26.4688 + 9.63387i 1.06560 + 0.387845i 0.814528 0.580124i \(-0.196996\pi\)
0.251068 + 0.967970i \(0.419218\pi\)
\(618\) 16.1027 + 5.86089i 0.647744 + 0.235760i
\(619\) 11.4483 19.8291i 0.460146 0.796997i −0.538821 0.842420i \(-0.681130\pi\)
0.998968 + 0.0454230i \(0.0144636\pi\)
\(620\) −4.69712 8.13565i −0.188641 0.326736i
\(621\) 0.205737 + 1.16679i 0.00825594 + 0.0468218i
\(622\) −10.9945 9.22551i −0.440841 0.369909i
\(623\) −13.9565 + 11.7109i −0.559156 + 0.469188i
\(624\) 0.446967 2.53487i 0.0178930 0.101476i
\(625\) −5.55778 + 2.02287i −0.222311 + 0.0809147i
\(626\) 2.40373 0.0960725
\(627\) −2.51707 + 4.50946i −0.100522 + 0.180091i
\(628\) 9.25402 0.369276
\(629\) 0.134285 0.0488759i 0.00535431 0.00194881i
\(630\) −0.302004 + 1.71275i −0.0120321 + 0.0682375i
\(631\) −24.8883 + 20.8838i −0.990788 + 0.831370i −0.985682 0.168617i \(-0.946070\pi\)
−0.00510629 + 0.999987i \(0.501625\pi\)
\(632\) −9.88326 8.29304i −0.393135 0.329879i
\(633\) 0.375515 + 2.12965i 0.0149254 + 0.0846460i
\(634\) 7.02869 + 12.1740i 0.279145 + 0.483493i
\(635\) 4.31046 7.46594i 0.171055 0.296277i
\(636\) 1.36571 + 0.497079i 0.0541541 + 0.0197105i
\(637\) 11.7194 + 4.26552i 0.464340 + 0.169006i
\(638\) 5.57532 9.65674i 0.220729 0.382314i
\(639\) −7.31908 12.6770i −0.289538 0.501495i
\(640\) 0.205737 + 1.16679i 0.00813247 + 0.0461215i
\(641\) 5.67159 + 4.75903i 0.224014 + 0.187970i 0.747887 0.663826i \(-0.231069\pi\)
−0.523872 + 0.851797i \(0.675513\pi\)
\(642\) 8.04576 6.75119i 0.317541 0.266448i
\(643\) −7.38847 + 41.9021i −0.291373 + 1.65246i 0.390217 + 0.920723i \(0.372400\pi\)
−0.681590 + 0.731734i \(0.738711\pi\)
\(644\) 1.63429 0.594831i 0.0643999 0.0234396i
\(645\) 8.58853 0.338173
\(646\) −7.52481 6.13036i −0.296060 0.241196i
\(647\) −41.2063 −1.61999 −0.809993 0.586440i \(-0.800529\pi\)
−0.809993 + 0.586440i \(0.800529\pi\)
\(648\) 0.939693 0.342020i 0.0369146 0.0134358i
\(649\) 0.288800 1.63787i 0.0113364 0.0642919i
\(650\) 7.09105 5.95010i 0.278134 0.233382i
\(651\) 8.91606 + 7.48146i 0.349448 + 0.293222i
\(652\) −0.545293 3.09251i −0.0213553 0.121112i
\(653\) 13.3353 + 23.0974i 0.521850 + 0.903870i 0.999677 + 0.0254163i \(0.00809113\pi\)
−0.477827 + 0.878454i \(0.658576\pi\)
\(654\) −4.02094 + 6.96448i −0.157231 + 0.272333i
\(655\) −7.68092 2.79563i −0.300118 0.109234i
\(656\) −9.09627 3.31077i −0.355150 0.129264i
\(657\) −3.26991 + 5.66366i −0.127572 + 0.220960i
\(658\) 3.57057 + 6.18442i 0.139195 + 0.241094i
\(659\) −2.18567 12.3955i −0.0851416 0.482862i −0.997326 0.0730819i \(-0.976717\pi\)
0.912184 0.409780i \(-0.134395\pi\)
\(660\) −1.07532 0.902302i −0.0418569 0.0351221i
\(661\) 6.35432 5.33191i 0.247154 0.207387i −0.510791 0.859705i \(-0.670648\pi\)
0.757946 + 0.652317i \(0.226203\pi\)
\(662\) −4.66116 + 26.4347i −0.181161 + 1.02742i
\(663\) −5.38578 + 1.96026i −0.209166 + 0.0761304i
\(664\) −3.89899 −0.151310
\(665\) 7.58007 0.109920i 0.293943 0.00426253i
\(666\) 0.0641778 0.00248684
\(667\) −10.4782 + 3.81374i −0.405717 + 0.147669i
\(668\) 2.75624 15.6314i 0.106642 0.604798i
\(669\) −21.6446 + 18.1619i −0.836827 + 0.702181i
\(670\) 7.91147 + 6.63852i 0.305647 + 0.256468i
\(671\) 1.60488 + 9.10175i 0.0619559 + 0.351369i
\(672\) −0.733956 1.27125i −0.0283130 0.0490395i
\(673\) −0.812681 + 1.40761i −0.0313266 + 0.0542592i −0.881264 0.472625i \(-0.843307\pi\)
0.849937 + 0.526884i \(0.176640\pi\)
\(674\) −19.6596 7.15550i −0.757258 0.275619i
\(675\) 3.37939 + 1.23000i 0.130073 + 0.0473426i
\(676\) 3.18732 5.52060i 0.122589 0.212331i
\(677\) 6.64203 + 11.5043i 0.255274 + 0.442147i 0.964970 0.262361i \(-0.0845011\pi\)
−0.709696 + 0.704508i \(0.751168\pi\)
\(678\) 3.32383 + 18.8504i 0.127651 + 0.723943i
\(679\) −14.5221 12.1855i −0.557308 0.467637i
\(680\) 2.02094 1.69577i 0.0774997 0.0650300i
\(681\) −3.65064 + 20.7038i −0.139893 + 0.793373i
\(682\) −8.82770 + 3.21302i −0.338030 + 0.123033i
\(683\) 2.90673 0.111223 0.0556114 0.998452i \(-0.482289\pi\)
0.0556114 + 0.998452i \(0.482289\pi\)
\(684\) −2.23396 3.74292i −0.0854174 0.143114i
\(685\) −18.7469 −0.716283
\(686\) 16.3391 5.94696i 0.623831 0.227056i
\(687\) 1.38238 7.83986i 0.0527410 0.299109i
\(688\) −5.55303 + 4.65955i −0.211707 + 0.177644i
\(689\) −2.86571 2.40462i −0.109175 0.0916087i
\(690\) 0.243756 + 1.38241i 0.00927962 + 0.0526274i
\(691\) 7.18004 + 12.4362i 0.273142 + 0.473095i 0.969665 0.244439i \(-0.0786039\pi\)
−0.696523 + 0.717535i \(0.745271\pi\)
\(692\) −1.73055 + 2.99740i −0.0657857 + 0.113944i
\(693\) 1.63429 + 0.594831i 0.0620814 + 0.0225958i
\(694\) −31.6079 11.5043i −1.19982 0.436698i
\(695\) −9.16772 + 15.8790i −0.347751 + 0.602323i
\(696\) 4.70574 + 8.15058i 0.178371 + 0.308947i
\(697\) 3.74288 + 21.2269i 0.141772 + 0.804027i
\(698\) −20.7993 17.4527i −0.787266 0.660594i
\(699\) 11.2515 9.44113i 0.425571 0.357096i
\(700\) 0.916689 5.19880i 0.0346476 0.196496i
\(701\) −45.7195 + 16.6405i −1.72680 + 0.628504i −0.998395 0.0566421i \(-0.981961\pi\)
−0.728406 + 0.685146i \(0.759738\pi\)
\(702\) −2.57398 −0.0971485
\(703\) −0.0525666 0.274761i −0.00198259 0.0103628i
\(704\) 1.18479 0.0446535
\(705\) −5.41622 + 1.97134i −0.203987 + 0.0742451i
\(706\) 2.90777 16.4908i 0.109435 0.620638i
\(707\) −15.4495 + 12.9637i −0.581038 + 0.487549i
\(708\) 1.07532 + 0.902302i 0.0404131 + 0.0339106i
\(709\) −1.69207 9.59619i −0.0635469 0.360392i −0.999955 0.00947962i \(-0.996982\pi\)
0.936408 0.350913i \(-0.114129\pi\)
\(710\) −8.67159 15.0196i −0.325439 0.563677i
\(711\) −6.45084 + 11.1732i −0.241925 + 0.419027i
\(712\) 11.6630 + 4.24497i 0.437088 + 0.159087i
\(713\) 8.82770 + 3.21302i 0.330600 + 0.120328i
\(714\) −1.63429 + 2.83067i −0.0611616 + 0.105935i
\(715\) 1.80659 + 3.12910i 0.0675626 + 0.117022i
\(716\) −0.109470 0.620838i −0.00409110 0.0232018i
\(717\) 12.0496 + 10.1108i 0.450002 + 0.377596i
\(718\) 3.63041 3.04628i 0.135486 0.113686i
\(719\) 0.841777 4.77396i 0.0313930 0.178038i −0.965080 0.261957i \(-0.915632\pi\)
0.996473 + 0.0839181i \(0.0267434\pi\)
\(720\) 1.11334 0.405223i 0.0414918 0.0151018i
\(721\) −25.1543 −0.936794
\(722\) −14.1946 + 12.6299i −0.528268 + 0.470035i
\(723\) 9.85204 0.366401
\(724\) 11.0778 4.03201i 0.411705 0.149848i
\(725\) −5.87733 + 33.3320i −0.218278 + 1.23792i
\(726\) 7.35117 6.16836i 0.272827 0.228929i
\(727\) −10.8714 9.12218i −0.403198 0.338323i 0.418530 0.908203i \(-0.362545\pi\)
−0.821728 + 0.569880i \(0.806990\pi\)
\(728\) 0.656107 + 3.72097i 0.0243170 + 0.137908i
\(729\) −0.500000 0.866025i −0.0185185 0.0320750i
\(730\) −3.87417 + 6.71026i −0.143389 + 0.248358i
\(731\) 15.1677 + 5.52060i 0.560998 + 0.204187i
\(732\) −7.33022 2.66798i −0.270933 0.0986115i
\(733\) −5.31908 + 9.21291i −0.196465 + 0.340287i −0.947380 0.320112i \(-0.896279\pi\)
0.750915 + 0.660399i \(0.229613\pi\)
\(734\) 4.39646 + 7.61489i 0.162276 + 0.281071i
\(735\) 0.996845 + 5.65339i 0.0367692 + 0.208528i
\(736\) −0.907604 0.761570i −0.0334547 0.0280718i
\(737\) 7.91147 6.63852i 0.291423 0.244533i
\(738\) −1.68092 + 9.53298i −0.0618756 + 0.350914i
\(739\) 25.9368 9.44021i 0.954099 0.347264i 0.182381 0.983228i \(-0.441620\pi\)
0.771718 + 0.635964i \(0.219397\pi\)
\(740\) 0.0760373 0.00279519
\(741\) 2.10829 + 11.0198i 0.0774499 + 0.404824i
\(742\) −2.13341 −0.0783199
\(743\) −1.13816 + 0.414255i −0.0417549 + 0.0151975i −0.362813 0.931862i \(-0.618184\pi\)
0.321058 + 0.947059i \(0.395961\pi\)
\(744\) 1.37686 7.80856i 0.0504781 0.286276i
\(745\) −2.02094 + 1.69577i −0.0740417 + 0.0621283i
\(746\) 7.23577 + 6.07153i 0.264920 + 0.222294i
\(747\) 0.677052 + 3.83975i 0.0247720 + 0.140489i
\(748\) −1.31908 2.28471i −0.0482303 0.0835373i
\(749\) −7.70873 + 13.3519i −0.281671 + 0.487868i
\(750\) 9.57057 + 3.48340i 0.349468 + 0.127196i
\(751\) −46.0925 16.7763i −1.68194 0.612175i −0.688364 0.725365i \(-0.741671\pi\)
−0.993573 + 0.113190i \(0.963893\pi\)
\(752\) 2.43242 4.21307i 0.0887012 0.153635i
\(753\) −2.31134 4.00335i −0.0842298 0.145890i
\(754\) −4.20661 23.8569i −0.153196 0.868817i
\(755\) −5.98680 5.02352i −0.217882 0.182825i
\(756\) −1.12449 + 0.943555i −0.0408971 + 0.0343168i
\(757\) 6.26445 35.5275i 0.227685 1.29127i −0.629799 0.776758i \(-0.716863\pi\)
0.857484 0.514510i \(-0.172026\pi\)
\(758\) 34.6819 12.6232i 1.25970 0.458494i
\(759\) 1.40373 0.0509523
\(760\) −2.64677 4.43458i −0.0960086 0.160859i
\(761\) 4.72193 0.171170 0.0855850 0.996331i \(-0.472724\pi\)
0.0855850 + 0.996331i \(0.472724\pi\)
\(762\) 6.83750 2.48865i 0.247696 0.0901541i
\(763\) 2.04988 11.6254i 0.0742106 0.420869i
\(764\) 8.74763 7.34013i 0.316478 0.265557i
\(765\) −2.02094 1.69577i −0.0730674 0.0613108i
\(766\) 5.11721 + 29.0211i 0.184892 + 1.04858i
\(767\) −1.80659 3.12910i −0.0652322 0.112985i
\(768\) −0.500000 + 0.866025i −0.0180422 + 0.0312500i
\(769\) −20.3893 7.42112i −0.735259 0.267612i −0.0528696 0.998601i \(-0.516837\pi\)
−0.682389 +