Properties

Label 114.2.i.a.61.1
Level $114$
Weight $2$
Character 114.61
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 61.1
Root \(0.939693 + 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 114.61
Dual form 114.2.i.a.43.1

$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

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

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 −0.822766 0.568380i \(-0.807570\pi\)
0.416873 + 0.908965i \(0.363126\pi\)
\(6\) −0.173648 + 0.984808i −0.0708916 + 0.402046i
\(7\) 0.733956 1.27125i 0.277409 0.480487i −0.693331 0.720619i \(-0.743858\pi\)
0.970740 + 0.240133i \(0.0771909\pi\)
\(8\) 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 0.762792 0.646644i \(-0.223828\pi\)
−0.941406 + 0.337275i \(0.890495\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) 0.446967 2.53487i 0.123966 0.703047i −0.857950 0.513733i \(-0.828262\pi\)
0.981916 0.189315i \(-0.0606266\pi\)
\(14\) 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 0.0755749 0.997140i \(-0.475921\pi\)
−0.583056 + 0.812432i \(0.698143\pi\)
\(18\) −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 0.732489 0.680779i \(-0.238358\pi\)
−0.543241 + 0.839577i \(0.682803\pi\)
\(24\) −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 −0.987434 0.158034i \(-0.949485\pi\)
−0.654836 + 0.755771i \(0.727262\pi\)
\(30\) −0.592396 1.02606i −0.108156 0.187332i
\(31\) 3.96451 6.86673i 0.712047 1.23330i −0.252041 0.967717i \(-0.581102\pi\)
0.964088 0.265584i \(-0.0855649\pi\)
\(32\) −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 0.776017 + 0.630713i \(0.217237\pi\)
−0.513501 + 0.858089i \(0.671652\pi\)
\(42\) 1.12449 + 0.943555i 0.173512 + 0.145594i
\(43\) −5.55303 + 4.65955i −0.846830 + 0.710574i −0.959089 0.283104i \(-0.908636\pi\)
0.112259 + 0.993679i \(0.464191\pi\)
\(44\) 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 0.0136389 0.999907i \(-0.495658\pi\)
0.653176 + 0.757206i \(0.273436\pi\)
\(48\) −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 0.563113 0.826380i \(-0.309604\pi\)
−0.716042 + 0.698057i \(0.754048\pi\)
\(54\) −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 0.254725 0.967014i \(-0.418015\pi\)
−0.426454 + 0.904509i \(0.640237\pi\)
\(60\) −0.205737 1.16679i −0.0265605 0.150632i
\(61\) 5.97565 + 5.01417i 0.765104 + 0.641998i 0.939450 0.342686i \(-0.111337\pi\)
−0.174346 + 0.984684i \(0.555781\pi\)
\(62\) 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 −0.789859 0.613288i \(-0.789847\pi\)
−0.210854 + 0.977518i \(0.567624\pi\)
\(68\) −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 0.346904 0.937901i \(-0.387233\pi\)
0.983891 0.178769i \(-0.0572114\pi\)
\(72\) −0.766044 0.642788i −0.0902792 0.0757532i
\(73\) 1.13563 + 6.44047i 0.132915 + 0.753801i 0.976289 + 0.216473i \(0.0694552\pi\)
−0.843373 + 0.537328i \(0.819434\pi\)
\(74\) −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 0.803510 + 0.595292i \(0.202963\pi\)
−0.551450 + 0.834208i \(0.685925\pi\)
\(80\) −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 −0.952958 0.303102i \(-0.901978\pi\)
0.738973 + 0.673735i \(0.235311\pi\)
\(84\) 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 −0.627517 0.778603i \(-0.715929\pi\)
0.855971 0.517024i \(-0.172960\pi\)
\(90\) 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 −0.357841 0.933783i \(-0.616487\pi\)
−0.874346 + 0.485303i \(0.838709\pi\)
\(98\) 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 −0.600118 0.799911i \(-0.704880\pi\)
0.837513 0.546418i \(-0.184009\pi\)
\(102\) 1.11334 1.92836i 0.110237 0.190936i
\(103\) −8.56805 14.8403i −0.844235 1.46226i −0.886284 0.463142i \(-0.846722\pi\)
0.0420491 0.999116i \(-0.486611\pi\)
\(104\) 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 −0.492279 0.870437i \(-0.663836\pi\)
0.999960 0.00889246i \(-0.00283060\pi\)
\(108\) 0.173648 0.984808i 0.0167093 0.0947632i
\(109\) −6.16044 + 5.16923i −0.590064 + 0.495122i −0.888234 0.459390i \(-0.848068\pi\)
0.298171 + 0.954512i \(0.403623\pi\)
\(110\) 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 −0.876017 0.482280i \(-0.839809\pi\)
0.988136 0.153579i \(-0.0490800\pi\)
\(128\) −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 0.609325 0.792920i \(-0.291440\pi\)
−0.0429093 + 0.999079i \(0.513663\pi\)
\(132\) 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 0.991504 0.130079i \(-0.0415230\pi\)
0.0440702 + 0.999028i \(0.485967\pi\)
\(138\) −0.907604 + 0.761570i −0.0772604 + 0.0648291i
\(139\) −2.68732 + 15.2405i −0.227935 + 1.29269i 0.629058 + 0.777358i \(0.283441\pi\)
−0.856993 + 0.515327i \(0.827670\pi\)
\(140\) −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 0.996541 0.0831016i \(-0.0264826\pi\)
−0.964865 + 0.262747i \(0.915371\pi\)
\(150\) −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 −0.314474 0.949266i \(-0.601828\pi\)
0.880237 + 0.474534i \(0.157384\pi\)
\(158\) −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 0.920942 0.389700i \(-0.127421\pi\)
−0.797961 + 0.602709i \(0.794088\pi\)
\(164\) −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 0.977742 0.209813i \(-0.0672854\pi\)
−0.0368422 + 0.999321i \(0.511730\pi\)
\(168\) 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 0.215410 0.976524i \(-0.430891\pi\)
−0.462684 + 0.886524i \(0.653113\pi\)
\(174\) −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 0.877565 0.479458i \(-0.159167\pi\)
−0.854005 + 0.520265i \(0.825833\pi\)
\(180\) 1.11334 0.405223i 0.0829835 0.0302035i
\(181\) 11.0778 4.03201i 0.823410 0.299697i 0.104259 0.994550i \(-0.466753\pi\)
0.719151 + 0.694853i \(0.244531\pi\)
\(182\) −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 0.984893 + 0.173166i \(0.0553996\pi\)
−0.866270 + 0.499576i \(0.833489\pi\)
\(194\) −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 −0.964672 0.263452i \(-0.915139\pi\)
0.710493 + 0.703705i \(0.248472\pi\)
\(198\) 0.592396 + 1.02606i 0.0420998 + 0.0729189i
\(199\) 16.6814 6.07153i 1.18251 0.430399i 0.325424 0.945568i \(-0.394493\pi\)
0.857089 + 0.515169i \(0.172271\pi\)
\(200\) −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 0.271124 0.962544i \(-0.412605\pi\)
−0.411019 + 0.911627i \(0.634827\pi\)
\(212\) −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 −0.516429 + 0.856330i \(0.672739\pi\)
−0.932997 + 0.359883i \(0.882817\pi\)
\(224\) 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 −0.194950 0.980813i \(-0.562454\pi\)
0.932060 + 0.362304i \(0.118010\pi\)
\(234\) −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 −0.999949 0.0101147i \(-0.996780\pi\)
0.491215 0.871038i \(-0.336553\pi\)
\(240\) 0.592396 1.02606i 0.0382390 0.0662319i
\(241\) 1.71079 9.70237i 0.110202 0.624985i −0.878813 0.477166i \(-0.841664\pi\)
0.989015 0.147818i \(-0.0472250\pi\)
\(242\) 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 0.747669 0.664072i \(-0.231173\pi\)
−0.524152 + 0.851625i \(0.675618\pi\)
\(252\) −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 −0.252073 0.967708i \(-0.581112\pi\)
0.428932 + 0.903337i \(0.358890\pi\)
\(258\) −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 0.946189 0.323616i \(-0.104898\pi\)
−0.999810 + 0.0195163i \(0.993787\pi\)
\(264\) 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 −0.782058 0.623206i \(-0.785830\pi\)
0.521745 0.853102i \(-0.325281\pi\)
\(270\) 0.907604 + 0.761570i 0.0552350 + 0.0463477i
\(271\) −1.28699 + 1.07991i −0.0781790 + 0.0656000i −0.681040 0.732246i \(-0.738472\pi\)
0.602861 + 0.797846i \(0.294027\pi\)
\(272\) 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 0.826585 + 0.562812i \(0.190280\pi\)
0.0741168 + 0.997250i \(0.476386\pi\)
\(278\) −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 0.949367 0.314168i \(-0.101725\pi\)
−0.144539 + 0.989499i \(0.546170\pi\)
\(282\) 0.844770 + 4.79093i 0.0503053 + 0.285296i
\(283\) −14.9547 5.44307i −0.888965 0.323557i −0.143143 0.989702i \(-0.545721\pi\)
−0.745822 + 0.666145i \(0.767943\pi\)
\(284\) 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 0.862076 0.506779i \(-0.169164\pi\)
−0.869921 + 0.493191i \(0.835831\pi\)
\(294\) −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 0.981846 0.189680i \(-0.0607451\pi\)
−0.987508 + 0.157570i \(0.949634\pi\)
\(308\) −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 −0.994543 0.104325i \(-0.966732\pi\)
0.587620 + 0.809137i \(0.300065\pi\)
\(312\) 1.28699 + 2.22913i 0.0728614 + 0.126200i
\(313\) 2.25877 0.822125i 0.127673 0.0464693i −0.277393 0.960756i \(-0.589471\pi\)
0.405067 + 0.914287i \(0.367248\pi\)
\(314\) 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 −0.836270 0.548317i \(-0.815269\pi\)
0.973373 0.229228i \(-0.0736203\pi\)
\(318\) 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 −0.953529 0.301303i \(-0.902579\pi\)
0.215829 0.976431i \(-0.430755\pi\)
\(332\) −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 −0.964733 0.263230i \(-0.915212\pi\)
0.0917071 + 0.995786i \(0.470768\pi\)
\(338\) 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 −0.415249 + 0.909708i \(0.636306\pi\)
−0.967994 + 0.250972i \(0.919250\pi\)
\(348\) 1.63429 9.26849i 0.0876069 0.496843i
\(349\) −13.5758 + 23.5140i −0.726695 + 1.25867i 0.231577 + 0.972817i \(0.425611\pi\)
−0.958272 + 0.285857i \(0.907722\pi\)
\(350\) 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 0.998096 0.0616847i \(-0.0196473\pi\)
−0.552468 + 0.833534i \(0.686314\pi\)
\(354\) 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 0.456855 0.889541i \(-0.348976\pi\)
−0.221815 + 0.975089i \(0.571198\pi\)
\(360\) 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 −0.918672 0.395020i \(-0.870738\pi\)
0.998375 0.0569932i \(-0.0181513\pi\)
\(368\) −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 −0.717464 0.696596i \(-0.754697\pi\)
0.962002 + 0.273044i \(0.0880304\pi\)
\(374\) −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 −0.778882 0.627171i \(-0.784213\pi\)
0.517405 0.855741i \(-0.326898\pi\)
\(384\) −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 −0.727069 0.686564i \(-0.759118\pi\)
−0.115653 + 0.993290i \(0.536896\pi\)
\(390\) −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 0.0276326 0.999618i \(-0.491203\pi\)
−0.621374 + 0.783514i \(0.713425\pi\)
\(398\) 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 0.838163 0.545420i \(-0.183630\pi\)
0.291480 + 0.956577i \(0.405852\pi\)
\(402\) −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 0.655440 0.755247i \(-0.272483\pi\)
0.987560 + 0.157244i \(0.0502610\pi\)
\(410\) −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 0.985962 0.166971i \(-0.0533987\pi\)
−0.983608 + 0.180317i \(0.942288\pi\)
\(422\) −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 0.892792 + 0.450470i \(0.148744\pi\)
−0.993019 + 0.117951i \(0.962368\pi\)
\(432\) 0.766044 0.642788i 0.0368563 0.0309261i
\(433\) −22.3286 18.7359i −1.07305 0.900392i −0.0777205 0.996975i \(-0.524764\pi\)
−0.995325 + 0.0965831i \(0.969209\pi\)
\(434\) −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 0.196913 0.980421i \(-0.436908\pi\)
−0.479358 + 0.877619i \(0.659130\pi\)
\(440\) 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 −0.768981 0.639271i \(-0.779236\pi\)
0.941250 0.337711i \(-0.109653\pi\)
\(444\) 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 −0.300798 + 0.953688i \(0.597253\pi\)
−0.675519 + 0.737343i \(0.736080\pi\)
\(450\) 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 −0.910216 0.414134i \(-0.864084\pi\)
0.249785 + 0.968301i \(0.419640\pi\)
\(462\) 0.302004 1.71275i 0.0140505 0.0796843i
\(463\) 1.80928 3.13376i 0.0840843 0.145638i −0.820916 0.571048i \(-0.806537\pi\)
0.905001 + 0.425410i \(0.139870\pi\)
\(464\) −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 0.983142 0.182845i \(-0.0585308\pi\)
−0.649920 + 0.760003i \(0.725197\pi\)
\(468\) −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 −0.116654 0.993173i \(-0.537217\pi\)
−0.998341 + 0.0575808i \(0.981661\pi\)
\(480\) 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 −0.550808 0.834632i \(-0.685680\pi\)
0.998217 + 0.0596972i \(0.0190135\pi\)
\(488\) −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 −0.855491 0.517818i \(-0.826744\pi\)
0.626794 0.779185i \(-0.284367\pi\)
\(492\) −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 −0.730421 0.682997i \(-0.760676\pi\)
0.545784 + 0.837926i \(0.316232\pi\)
\(500\) 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 −0.801141 0.598476i \(-0.795773\pi\)
−0.229016 + 0.973423i \(0.573551\pi\)
\(504\) −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 0.558456 0.829534i \(-0.311394\pi\)
−0.719957 + 0.694019i \(0.755838\pi\)
\(510\) 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 0.983354 + 0.181701i \(0.0581603\pi\)
−0.334319 + 0.942460i \(0.608506\pi\)
\(522\) 8.84389 3.21891i 0.387087 0.140888i
\(523\) 10.0890 3.67209i 0.441161 0.160569i −0.111883 0.993721i \(-0.535688\pi\)
0.553044 + 0.833152i \(0.313466\pi\)
\(524\) 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 −0.861866 0.507136i \(-0.830704\pi\)
−0.334247 + 0.942485i \(0.608482\pi\)
\(542\) −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 0.834841 0.550492i \(-0.185560\pi\)
−0.397160 + 0.917749i \(0.630004\pi\)
\(548\) 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 −0.994745 0.102382i \(-0.967354\pi\)
0.969771 + 0.244015i \(0.0784647\pi\)
\(558\) −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 0.0191757 0.999816i \(-0.493896\pi\)
0.856278 0.516515i \(-0.172771\pi\)
\(564\) −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 −0.960599 0.277937i \(-0.910349\pi\)
0.721000 + 0.692935i \(0.243683\pi\)
\(578\) −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 −0.00269254 0.999996i \(-0.500857\pi\)
−0.644848 + 0.764311i \(0.723079\pi\)
\(588\) −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 0.959953 + 0.280160i \(0.0903875\pi\)
0.442598 + 0.896720i \(0.354057\pi\)
\(594\) −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 −0.173391 0.984853i \(-0.555472\pi\)
0.500226 + 0.865895i \(0.333250\pi\)
\(600\) −1.79813 3.11446i −0.0734085 0.127147i
\(601\) −16.7613 + 29.0314i −0.683708 + 1.18422i 0.290134 + 0.956986i \(0.406300\pi\)
−0.973841 + 0.227230i \(0.927033\pi\)
\(602\) −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 −0.501829 0.864967i \(-0.667339\pi\)
0.764684 + 0.644405i \(0.222895\pi\)
\(614\) 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 0.251068 0.967970i \(-0.419218\pi\)
0.814528 + 0.580124i \(0.196996\pi\)
\(618\) 16.1027 5.86089i 0.647744 0.235760i
\(619\) 11.4483 + 19.8291i 0.460146 + 0.796997i 0.998968 0.0454230i \(-0.0144636\pi\)
−0.538821 + 0.842420i \(0.681130\pi\)
\(620\) −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 −0.00510629 0.999987i \(-0.501625\pi\)
−0.985682 + 0.168617i \(0.946070\pi\)
\(632\) −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 −0.523872 0.851797i \(-0.675513\pi\)
0.747887 + 0.663826i \(0.231069\pi\)
\(642\) 8.04576 + 6.75119i 0.317541 + 0.266448i
\(643\) −7.38847 41.9021i −0.291373 1.65246i −0.681590 0.731734i \(-0.738711\pi\)
0.390217 0.920723i \(-0.372400\pi\)
\(644\) 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 −0.477827 0.878454i \(-0.658576\pi\)
0.999677 0.0254163i \(-0.00809113\pi\)
\(654\) −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 0.912184 + 0.409780i \(0.134395\pi\)
−0.997326 + 0.0730819i \(0.976717\pi\)
\(660\) −1.07532 + 0.902302i −0.0418569 + 0.0351221i
\(661\) 6.35432 + 5.33191i 0.247154 + 0.207387i 0.757946 0.652317i \(-0.226203\pi\)
−0.510791 + 0.859705i \(0.670648\pi\)
\(662\) −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 0.849937 0.526884i \(-0.176640\pi\)
−0.881264 + 0.472625i \(0.843307\pi\)
\(674\) −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 −0.709696 0.704508i \(-0.751168\pi\)
0.964970 + 0.262361i \(0.0845011\pi\)
\(678\) 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 −0.696523 0.717535i \(-0.745271\pi\)
0.969665 + 0.244439i \(0.0786039\pi\)
\(692\) −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 −0.728406 0.685146i \(-0.759738\pi\)
−0.998395 + 0.0566421i \(0.981961\pi\)
\(702\) −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 0.936408 + 0.350913i \(0.114129\pi\)
−0.999955 + 0.00947962i \(0.996982\pi\)
\(710\) −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 0.996473 0.0839181i \(-0.0267434\pi\)
−0.965080 + 0.261957i \(0.915632\pi\)
\(720\) 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 −0.821728 0.569880i \(-0.806990\pi\)
0.418530 + 0.908203i \(0.362545\pi\)
\(728\) 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 0.750915 0.660399i \(-0.229613\pi\)
−0.947380 + 0.320112i \(0.896279\pi\)
\(734\) 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 0.771718 0.635964i \(-0.219397\pi\)
0.182381 + 0.983228i \(0.441620\pi\)
\(740\) 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 0.321058 0.947059i \(-0.395961\pi\)
−0.362813 + 0.931862i \(0.618184\pi\)
\(744\) 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 −0.993573 0.113190i \(-0.963893\pi\)
−0.688364 + 0.725365i \(0.741671\pi\)
\(752\) 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 0.857484 + 0.514510i \(0.172026\pi\)
−0.629799 + 0.776758i \(0.716863\pi\)
\(758\) 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 −0.682389 0.730989i \(-0.739059\pi\)
−0.0528696