Properties

Label 96.2.n.a.61.3
Level $96$
Weight $2$
Character 96.61
Analytic conductor $0.767$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 96.n (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 61.3
Character \(\chi\) \(=\) 96.61
Dual form 96.2.n.a.85.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.947612 + 1.04978i) q^{2} +(-0.923880 - 0.382683i) q^{3} +(-0.204063 - 1.98956i) q^{4} +(-1.48656 - 3.58888i) q^{5} +(1.27721 - 0.607232i) q^{6} +(1.03821 - 1.03821i) q^{7} +(2.28197 + 1.67111i) q^{8} +(0.707107 + 0.707107i) q^{9} +O(q^{10})\) \(q+(-0.947612 + 1.04978i) q^{2} +(-0.923880 - 0.382683i) q^{3} +(-0.204063 - 1.98956i) q^{4} +(-1.48656 - 3.58888i) q^{5} +(1.27721 - 0.607232i) q^{6} +(1.03821 - 1.03821i) q^{7} +(2.28197 + 1.67111i) q^{8} +(0.707107 + 0.707107i) q^{9} +(5.17620 + 1.84030i) q^{10} +(-2.98911 + 1.23813i) q^{11} +(-0.572843 + 1.91621i) q^{12} +(1.33971 - 3.23434i) q^{13} +(0.106069 + 2.07371i) q^{14} +3.88457i q^{15} +(-3.91672 + 0.811991i) q^{16} -5.31367i q^{17} +(-1.41237 + 0.0722414i) q^{18} +(-0.339726 + 0.820171i) q^{19} +(-6.83694 + 3.68996i) q^{20} +(-1.35649 + 0.561876i) q^{21} +(1.53276 - 4.31117i) q^{22} +(4.32186 + 4.32186i) q^{23} +(-1.46876 - 2.41718i) q^{24} +(-7.13463 + 7.13463i) q^{25} +(2.12581 + 4.47129i) q^{26} +(-0.382683 - 0.923880i) q^{27} +(-2.27745 - 1.85373i) q^{28} +(5.78209 + 2.39502i) q^{29} +(-4.07793 - 3.68107i) q^{30} -1.42287 q^{31} +(2.85912 - 4.88113i) q^{32} +3.23539 q^{33} +(5.57817 + 5.03530i) q^{34} +(-5.26938 - 2.18265i) q^{35} +(1.26254 - 1.55113i) q^{36} +(0.646238 + 1.56016i) q^{37} +(-0.539068 - 1.13384i) q^{38} +(-2.47546 + 2.47546i) q^{39} +(2.60513 - 10.6739i) q^{40} +(3.42644 + 3.42644i) q^{41} +(0.695581 - 1.95645i) q^{42} +(6.50505 - 2.69448i) q^{43} +(3.07331 + 5.69437i) q^{44} +(1.48656 - 3.58888i) q^{45} +(-8.63244 + 0.441542i) q^{46} -10.5764i q^{47} +(3.92931 + 0.748681i) q^{48} +4.84423i q^{49} +(-0.728907 - 14.2506i) q^{50} +(-2.03345 + 4.90919i) q^{51} +(-6.70831 - 2.00542i) q^{52} +(6.63468 - 2.74817i) q^{53} +(1.33250 + 0.473747i) q^{54} +(8.88700 + 8.88700i) q^{55} +(4.10414 - 0.634197i) q^{56} +(0.627732 - 0.627732i) q^{57} +(-7.99342 + 3.80036i) q^{58} +(-0.185450 - 0.447716i) q^{59} +(7.72860 - 0.792696i) q^{60} +(-3.16624 - 1.31150i) q^{61} +(1.34833 - 1.49369i) q^{62} +1.46825 q^{63} +(2.41476 + 7.62686i) q^{64} -13.5992 q^{65} +(-3.06590 + 3.39644i) q^{66} +(-6.09277 - 2.52371i) q^{67} +(-10.5719 + 1.08432i) q^{68} +(-2.33898 - 5.64679i) q^{69} +(7.28462 - 3.46337i) q^{70} +(2.91549 - 2.91549i) q^{71} +(0.431940 + 2.79525i) q^{72} +(1.02065 + 1.02065i) q^{73} +(-2.25020 - 0.800018i) q^{74} +(9.32184 - 3.86123i) q^{75} +(1.70111 + 0.508540i) q^{76} +(-1.81789 + 4.38878i) q^{77} +(-0.252904 - 4.94445i) q^{78} -12.8099i q^{79} +(8.73657 + 12.8495i) q^{80} +1.00000i q^{81} +(-6.84393 + 0.350061i) q^{82} +(-6.41532 + 15.4879i) q^{83} +(1.39470 + 2.58416i) q^{84} +(-19.0701 + 7.89910i) q^{85} +(-3.33566 + 9.38217i) q^{86} +(-4.42542 - 4.42542i) q^{87} +(-8.89012 - 2.16977i) q^{88} +(-0.991462 + 0.991462i) q^{89} +(2.35883 + 4.96142i) q^{90} +(-1.96703 - 4.74883i) q^{91} +(7.71668 - 9.48055i) q^{92} +(1.31456 + 0.544508i) q^{93} +(11.1029 + 10.0224i) q^{94} +3.44851 q^{95} +(-4.50941 + 3.41544i) q^{96} +14.5301 q^{97} +(-5.08536 - 4.59045i) q^{98} +(-2.98911 - 1.23813i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q + O(q^{10}) \) \( 32q - 8q^{10} - 16q^{12} - 32q^{14} - 8q^{16} - 8q^{18} - 32q^{20} - 8q^{22} - 16q^{23} - 8q^{24} + 40q^{26} + 40q^{28} - 48q^{31} + 40q^{32} + 40q^{34} - 48q^{35} + 40q^{38} + 8q^{40} - 16q^{43} + 8q^{44} - 32q^{46} + 24q^{50} + 16q^{51} - 8q^{52} - 32q^{53} + 8q^{54} + 32q^{55} + 56q^{56} - 32q^{58} + 64q^{59} + 48q^{60} - 32q^{61} + 48q^{62} + 16q^{63} + 24q^{64} + 48q^{66} + 16q^{67} - 8q^{68} - 32q^{69} - 24q^{70} + 64q^{71} - 32q^{74} + 32q^{75} - 56q^{76} - 32q^{77} + 24q^{78} - 56q^{80} - 40q^{82} - 64q^{86} - 48q^{88} - 48q^{91} - 80q^{92} - 32q^{94} - 40q^{96} - 80q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{8}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.947612 + 1.04978i −0.670063 + 0.742304i
\(3\) −0.923880 0.382683i −0.533402 0.220942i
\(4\) −0.204063 1.98956i −0.102031 0.994781i
\(5\) −1.48656 3.58888i −0.664810 1.60499i −0.790174 0.612883i \(-0.790010\pi\)
0.125364 0.992111i \(-0.459990\pi\)
\(6\) 1.27721 0.607232i 0.521419 0.247901i
\(7\) 1.03821 1.03821i 0.392407 0.392407i −0.483137 0.875545i \(-0.660503\pi\)
0.875545 + 0.483137i \(0.160503\pi\)
\(8\) 2.28197 + 1.67111i 0.806798 + 0.590828i
\(9\) 0.707107 + 0.707107i 0.235702 + 0.235702i
\(10\) 5.17620 + 1.84030i 1.63686 + 0.581955i
\(11\) −2.98911 + 1.23813i −0.901252 + 0.373311i −0.784701 0.619874i \(-0.787184\pi\)
−0.116550 + 0.993185i \(0.537184\pi\)
\(12\) −0.572843 + 1.91621i −0.165366 + 0.553161i
\(13\) 1.33971 3.23434i 0.371568 0.897045i −0.621917 0.783083i \(-0.713646\pi\)
0.993485 0.113962i \(-0.0363541\pi\)
\(14\) 0.106069 + 2.07371i 0.0283480 + 0.554223i
\(15\) 3.88457i 1.00299i
\(16\) −3.91672 + 0.811991i −0.979179 + 0.202998i
\(17\) 5.31367i 1.28876i −0.764708 0.644378i \(-0.777117\pi\)
0.764708 0.644378i \(-0.222883\pi\)
\(18\) −1.41237 + 0.0722414i −0.332898 + 0.0170275i
\(19\) −0.339726 + 0.820171i −0.0779385 + 0.188160i −0.958046 0.286614i \(-0.907470\pi\)
0.880108 + 0.474774i \(0.157470\pi\)
\(20\) −6.83694 + 3.68996i −1.52879 + 0.825100i
\(21\) −1.35649 + 0.561876i −0.296010 + 0.122611i
\(22\) 1.53276 4.31117i 0.326785 0.919145i
\(23\) 4.32186 + 4.32186i 0.901171 + 0.901171i 0.995537 0.0943668i \(-0.0300826\pi\)
−0.0943668 + 0.995537i \(0.530083\pi\)
\(24\) −1.46876 2.41718i −0.299809 0.493405i
\(25\) −7.13463 + 7.13463i −1.42693 + 1.42693i
\(26\) 2.12581 + 4.47129i 0.416906 + 0.876893i
\(27\) −0.382683 0.923880i −0.0736475 0.177801i
\(28\) −2.27745 1.85373i −0.430397 0.350321i
\(29\) 5.78209 + 2.39502i 1.07371 + 0.444744i 0.848298 0.529520i \(-0.177628\pi\)
0.225410 + 0.974264i \(0.427628\pi\)
\(30\) −4.07793 3.68107i −0.744525 0.672068i
\(31\) −1.42287 −0.255555 −0.127777 0.991803i \(-0.540784\pi\)
−0.127777 + 0.991803i \(0.540784\pi\)
\(32\) 2.85912 4.88113i 0.505426 0.862870i
\(33\) 3.23539 0.563210
\(34\) 5.57817 + 5.03530i 0.956648 + 0.863547i
\(35\) −5.26938 2.18265i −0.890687 0.368935i
\(36\) 1.26254 1.55113i 0.210423 0.258521i
\(37\) 0.646238 + 1.56016i 0.106241 + 0.256488i 0.968056 0.250735i \(-0.0806721\pi\)
−0.861815 + 0.507223i \(0.830672\pi\)
\(38\) −0.539068 1.13384i −0.0874484 0.183933i
\(39\) −2.47546 + 2.47546i −0.396390 + 0.396390i
\(40\) 2.60513 10.6739i 0.411907 1.68769i
\(41\) 3.42644 + 3.42644i 0.535120 + 0.535120i 0.922092 0.386972i \(-0.126479\pi\)
−0.386972 + 0.922092i \(0.626479\pi\)
\(42\) 0.695581 1.95645i 0.107330 0.301887i
\(43\) 6.50505 2.69448i 0.992010 0.410904i 0.173149 0.984896i \(-0.444606\pi\)
0.818861 + 0.573991i \(0.194606\pi\)
\(44\) 3.07331 + 5.69437i 0.463318 + 0.858459i
\(45\) 1.48656 3.58888i 0.221603 0.534998i
\(46\) −8.63244 + 0.441542i −1.27278 + 0.0651018i
\(47\) 10.5764i 1.54273i −0.636391 0.771366i \(-0.719574\pi\)
0.636391 0.771366i \(-0.280426\pi\)
\(48\) 3.92931 + 0.748681i 0.567147 + 0.108063i
\(49\) 4.84423i 0.692033i
\(50\) −0.728907 14.2506i −0.103083 2.01534i
\(51\) −2.03345 + 4.90919i −0.284741 + 0.687425i
\(52\) −6.70831 2.00542i −0.930275 0.278102i
\(53\) 6.63468 2.74817i 0.911344 0.377491i 0.122773 0.992435i \(-0.460821\pi\)
0.788571 + 0.614944i \(0.210821\pi\)
\(54\) 1.33250 + 0.473747i 0.181331 + 0.0644688i
\(55\) 8.88700 + 8.88700i 1.19832 + 1.19832i
\(56\) 4.10414 0.634197i 0.548438 0.0847482i
\(57\) 0.627732 0.627732i 0.0831451 0.0831451i
\(58\) −7.99342 + 3.80036i −1.04959 + 0.499011i
\(59\) −0.185450 0.447716i −0.0241435 0.0582877i 0.911348 0.411637i \(-0.135043\pi\)
−0.935492 + 0.353349i \(0.885043\pi\)
\(60\) 7.72860 0.792696i 0.997757 0.102337i
\(61\) −3.16624 1.31150i −0.405396 0.167920i 0.170662 0.985330i \(-0.445410\pi\)
−0.576057 + 0.817409i \(0.695410\pi\)
\(62\) 1.34833 1.49369i 0.171238 0.189699i
\(63\) 1.46825 0.184983
\(64\) 2.41476 + 7.62686i 0.301845 + 0.953357i
\(65\) −13.5992 −1.68677
\(66\) −3.06590 + 3.39644i −0.377386 + 0.418073i
\(67\) −6.09277 2.52371i −0.744350 0.308320i −0.0219162 0.999760i \(-0.506977\pi\)
−0.722434 + 0.691440i \(0.756977\pi\)
\(68\) −10.5719 + 1.08432i −1.28203 + 0.131493i
\(69\) −2.33898 5.64679i −0.281580 0.679793i
\(70\) 7.28462 3.46337i 0.870679 0.413952i
\(71\) 2.91549 2.91549i 0.346005 0.346005i −0.512614 0.858619i \(-0.671323\pi\)
0.858619 + 0.512614i \(0.171323\pi\)
\(72\) 0.431940 + 2.79525i 0.0509046 + 0.329423i
\(73\) 1.02065 + 1.02065i 0.119458 + 0.119458i 0.764309 0.644851i \(-0.223080\pi\)
−0.644851 + 0.764309i \(0.723080\pi\)
\(74\) −2.25020 0.800018i −0.261580 0.0930002i
\(75\) 9.32184 3.86123i 1.07639 0.445857i
\(76\) 1.70111 + 0.508540i 0.195130 + 0.0583335i
\(77\) −1.81789 + 4.38878i −0.207168 + 0.500147i
\(78\) −0.252904 4.94445i −0.0286358 0.559849i
\(79\) 12.8099i 1.44122i −0.693338 0.720612i \(-0.743861\pi\)
0.693338 0.720612i \(-0.256139\pi\)
\(80\) 8.73657 + 12.8495i 0.976778 + 1.43662i
\(81\) 1.00000i 0.111111i
\(82\) −6.84393 + 0.350061i −0.755786 + 0.0386578i
\(83\) −6.41532 + 15.4879i −0.704173 + 1.70002i 0.00989955 + 0.999951i \(0.496849\pi\)
−0.714072 + 0.700072i \(0.753151\pi\)
\(84\) 1.39470 + 2.58416i 0.152174 + 0.281955i
\(85\) −19.0701 + 7.89910i −2.06844 + 0.856778i
\(86\) −3.33566 + 9.38217i −0.359693 + 1.01171i
\(87\) −4.42542 4.42542i −0.474455 0.474455i
\(88\) −8.89012 2.16977i −0.947690 0.231298i
\(89\) −0.991462 + 0.991462i −0.105095 + 0.105095i −0.757699 0.652604i \(-0.773676\pi\)
0.652604 + 0.757699i \(0.273676\pi\)
\(90\) 2.35883 + 4.96142i 0.248643 + 0.522979i
\(91\) −1.96703 4.74883i −0.206201 0.497813i
\(92\) 7.71668 9.48055i 0.804520 0.988415i
\(93\) 1.31456 + 0.544508i 0.136313 + 0.0564628i
\(94\) 11.1029 + 10.0224i 1.14518 + 1.03373i
\(95\) 3.44851 0.353810
\(96\) −4.50941 + 3.41544i −0.460240 + 0.348587i
\(97\) 14.5301 1.47530 0.737652 0.675182i \(-0.235935\pi\)
0.737652 + 0.675182i \(0.235935\pi\)
\(98\) −5.08536 4.59045i −0.513699 0.463706i
\(99\) −2.98911 1.23813i −0.300417 0.124437i
\(100\) 15.6507 + 12.7389i 1.56507 + 1.27389i
\(101\) 0.742560 + 1.79270i 0.0738875 + 0.178380i 0.956508 0.291706i \(-0.0942229\pi\)
−0.882621 + 0.470086i \(0.844223\pi\)
\(102\) −3.22663 6.78669i −0.319484 0.671982i
\(103\) −2.11500 + 2.11500i −0.208397 + 0.208397i −0.803586 0.595189i \(-0.797077\pi\)
0.595189 + 0.803586i \(0.297077\pi\)
\(104\) 8.46212 5.14186i 0.829779 0.504201i
\(105\) 4.03301 + 4.03301i 0.393581 + 0.393581i
\(106\) −3.40213 + 9.56914i −0.330444 + 0.929437i
\(107\) 4.62290 1.91487i 0.446913 0.185117i −0.147865 0.989008i \(-0.547240\pi\)
0.594778 + 0.803890i \(0.297240\pi\)
\(108\) −1.76002 + 0.949902i −0.169358 + 0.0914044i
\(109\) 0.135885 0.328056i 0.0130155 0.0314221i −0.917238 0.398339i \(-0.869587\pi\)
0.930254 + 0.366917i \(0.119587\pi\)
\(110\) −17.7508 + 0.907938i −1.69247 + 0.0865685i
\(111\) 1.68870i 0.160284i
\(112\) −3.22336 + 4.90940i −0.304579 + 0.463895i
\(113\) 2.38693i 0.224543i −0.993678 0.112272i \(-0.964187\pi\)
0.993678 0.112272i \(-0.0358127\pi\)
\(114\) 0.0641320 + 1.25382i 0.00600651 + 0.117431i
\(115\) 9.08591 21.9353i 0.847266 2.04548i
\(116\) 3.58514 11.9926i 0.332871 1.11348i
\(117\) 3.23434 1.33971i 0.299015 0.123856i
\(118\) 0.645737 + 0.229580i 0.0594449 + 0.0211346i
\(119\) −5.51672 5.51672i −0.505717 0.505717i
\(120\) −6.49156 + 8.86447i −0.592595 + 0.809212i
\(121\) −0.376343 + 0.376343i −0.0342130 + 0.0342130i
\(122\) 4.37715 2.08105i 0.396289 0.188410i
\(123\) −1.85438 4.47686i −0.167203 0.403665i
\(124\) 0.290354 + 2.83088i 0.0260746 + 0.254221i
\(125\) 18.2670 + 7.56643i 1.63385 + 0.676762i
\(126\) −1.39133 + 1.54134i −0.123950 + 0.137313i
\(127\) −13.4220 −1.19101 −0.595507 0.803350i \(-0.703049\pi\)
−0.595507 + 0.803350i \(0.703049\pi\)
\(128\) −10.2948 4.69234i −0.909936 0.414748i
\(129\) −7.04101 −0.619927
\(130\) 12.8868 14.2761i 1.13024 1.25210i
\(131\) 7.38818 + 3.06028i 0.645508 + 0.267378i 0.681326 0.731980i \(-0.261404\pi\)
−0.0358180 + 0.999358i \(0.511404\pi\)
\(132\) −0.660223 6.43702i −0.0574650 0.560270i
\(133\) 0.498804 + 1.20422i 0.0432518 + 0.104419i
\(134\) 8.42291 4.00455i 0.727629 0.345941i
\(135\) −2.74681 + 2.74681i −0.236407 + 0.236407i
\(136\) 8.87975 12.1256i 0.761432 1.03976i
\(137\) −10.6802 10.6802i −0.912474 0.912474i 0.0839927 0.996466i \(-0.473233\pi\)
−0.996466 + 0.0839927i \(0.973233\pi\)
\(138\) 8.14431 + 2.89556i 0.693289 + 0.246486i
\(139\) −4.00214 + 1.65774i −0.339457 + 0.140608i −0.545899 0.837851i \(-0.683812\pi\)
0.206441 + 0.978459i \(0.433812\pi\)
\(140\) −3.26723 + 10.9292i −0.276131 + 0.923682i
\(141\) −4.04743 + 9.77136i −0.340855 + 0.822897i
\(142\) 0.297860 + 5.82337i 0.0249959 + 0.488687i
\(143\) 11.3265i 0.947173i
\(144\) −3.34370 2.19537i −0.278642 0.182948i
\(145\) 24.3116i 2.01896i
\(146\) −2.03864 + 0.104275i −0.168719 + 0.00862982i
\(147\) 1.85381 4.47549i 0.152899 0.369132i
\(148\) 2.97216 1.60410i 0.244310 0.131856i
\(149\) −17.5080 + 7.25206i −1.43431 + 0.594112i −0.958412 0.285387i \(-0.907878\pi\)
−0.475901 + 0.879499i \(0.657878\pi\)
\(150\) −4.78006 + 13.4448i −0.390290 + 1.09776i
\(151\) 1.13128 + 1.13128i 0.0920621 + 0.0920621i 0.751638 0.659576i \(-0.229264\pi\)
−0.659576 + 0.751638i \(0.729264\pi\)
\(152\) −2.14584 + 1.30388i −0.174051 + 0.105759i
\(153\) 3.75733 3.75733i 0.303762 0.303762i
\(154\) −2.88458 6.06724i −0.232446 0.488912i
\(155\) 2.11518 + 5.10649i 0.169895 + 0.410163i
\(156\) 5.43022 + 4.41993i 0.434766 + 0.353877i
\(157\) 1.69192 + 0.700815i 0.135030 + 0.0559311i 0.449175 0.893444i \(-0.351718\pi\)
−0.314145 + 0.949375i \(0.601718\pi\)
\(158\) 13.4475 + 12.1388i 1.06983 + 0.965711i
\(159\) −7.18133 −0.569516
\(160\) −21.7680 3.00492i −1.72091 0.237560i
\(161\) 8.97402 0.707252
\(162\) −1.04978 0.947612i −0.0824783 0.0744514i
\(163\) 20.1880 + 8.36212i 1.58124 + 0.654972i 0.988610 0.150501i \(-0.0480887\pi\)
0.592632 + 0.805473i \(0.298089\pi\)
\(164\) 6.11791 7.51632i 0.477728 0.586926i
\(165\) −4.80961 11.6114i −0.374428 0.903948i
\(166\) −10.1797 21.4112i −0.790094 1.66183i
\(167\) −2.40472 + 2.40472i −0.186083 + 0.186083i −0.794000 0.607917i \(-0.792005\pi\)
0.607917 + 0.794000i \(0.292005\pi\)
\(168\) −4.03442 0.984663i −0.311263 0.0759684i
\(169\) 0.526247 + 0.526247i 0.0404805 + 0.0404805i
\(170\) 9.77878 27.5046i 0.749998 2.10951i
\(171\) −0.820171 + 0.339726i −0.0627200 + 0.0259795i
\(172\) −6.68827 12.3924i −0.509976 0.944908i
\(173\) −3.78491 + 9.13758i −0.287761 + 0.694717i −0.999974 0.00724669i \(-0.997693\pi\)
0.712212 + 0.701964i \(0.247693\pi\)
\(174\) 8.83929 0.452122i 0.670105 0.0342753i
\(175\) 14.8145i 1.11987i
\(176\) 10.7022 7.27654i 0.806706 0.548490i
\(177\) 0.484604i 0.0364251i
\(178\) −0.101292 1.98033i −0.00759219 0.148432i
\(179\) −7.05680 + 17.0366i −0.527450 + 1.27338i 0.405738 + 0.913989i \(0.367015\pi\)
−0.933188 + 0.359388i \(0.882985\pi\)
\(180\) −7.44364 2.22525i −0.554816 0.165860i
\(181\) 17.3885 7.20257i 1.29248 0.535363i 0.372757 0.927929i \(-0.378413\pi\)
0.919724 + 0.392566i \(0.128413\pi\)
\(182\) 6.84919 + 2.43511i 0.507696 + 0.180502i
\(183\) 2.42334 + 2.42334i 0.179138 + 0.179138i
\(184\) 2.64003 + 17.0847i 0.194626 + 1.25950i
\(185\) 4.63854 4.63854i 0.341032 0.341032i
\(186\) −1.81730 + 0.864010i −0.133251 + 0.0633523i
\(187\) 6.57903 + 15.8832i 0.481106 + 1.16149i
\(188\) −21.0425 + 2.15826i −1.53468 + 0.157407i
\(189\) −1.35649 0.561876i −0.0986701 0.0408705i
\(190\) −3.26785 + 3.62017i −0.237075 + 0.262635i
\(191\) 9.91467 0.717400 0.358700 0.933453i \(-0.383220\pi\)
0.358700 + 0.933453i \(0.383220\pi\)
\(192\) 0.687722 7.97039i 0.0496321 0.575213i
\(193\) 9.84834 0.708899 0.354450 0.935075i \(-0.384668\pi\)
0.354450 + 0.935075i \(0.384668\pi\)
\(194\) −13.7689 + 15.2533i −0.988546 + 1.09512i
\(195\) 12.5640 + 5.20419i 0.899728 + 0.372680i
\(196\) 9.63790 0.988527i 0.688422 0.0706091i
\(197\) 5.46439 + 13.1922i 0.389322 + 0.939905i 0.990084 + 0.140478i \(0.0448638\pi\)
−0.600762 + 0.799428i \(0.705136\pi\)
\(198\) 4.13228 1.96463i 0.293669 0.139620i
\(199\) −6.14473 + 6.14473i −0.435588 + 0.435588i −0.890524 0.454936i \(-0.849662\pi\)
0.454936 + 0.890524i \(0.349662\pi\)
\(200\) −28.2038 + 4.35823i −1.99431 + 0.308173i
\(201\) 4.66320 + 4.66320i 0.328917 + 0.328917i
\(202\) −2.58559 0.919261i −0.181922 0.0646790i
\(203\) 8.48958 3.51650i 0.595852 0.246810i
\(204\) 10.1821 + 3.04390i 0.712890 + 0.213116i
\(205\) 7.20345 17.3907i 0.503111 1.21462i
\(206\) −0.216078 4.22447i −0.0150549 0.294333i
\(207\) 6.11204i 0.424816i
\(208\) −2.62100 + 13.7558i −0.181734 + 0.953795i
\(209\) 2.87221i 0.198675i
\(210\) −8.05548 + 0.412031i −0.555881 + 0.0284328i
\(211\) −4.14085 + 9.99689i −0.285068 + 0.688214i −0.999939 0.0110418i \(-0.996485\pi\)
0.714871 + 0.699256i \(0.246485\pi\)
\(212\) −6.82156 12.6393i −0.468506 0.868071i
\(213\) −3.80927 + 1.57785i −0.261007 + 0.108113i
\(214\) −2.37053 + 6.66757i −0.162046 + 0.455786i
\(215\) −19.3403 19.3403i −1.31900 1.31900i
\(216\) 0.670636 2.74777i 0.0456310 0.186962i
\(217\) −1.47724 + 1.47724i −0.100281 + 0.100281i
\(218\) 0.215619 + 0.453520i 0.0146036 + 0.0307162i
\(219\) −0.552372 1.33355i −0.0373259 0.0901126i
\(220\) 15.8677 19.4947i 1.06980 1.31434i
\(221\) −17.1862 7.11877i −1.15607 0.478860i
\(222\) 1.77276 + 1.60023i 0.118980 + 0.107401i
\(223\) −14.1199 −0.945540 −0.472770 0.881186i \(-0.656746\pi\)
−0.472770 + 0.881186i \(0.656746\pi\)
\(224\) −2.09928 8.03602i −0.140264 0.536929i
\(225\) −10.0899 −0.672659
\(226\) 2.50574 + 2.26188i 0.166679 + 0.150458i
\(227\) −16.8836 6.99343i −1.12061 0.464170i −0.256029 0.966669i \(-0.582414\pi\)
−0.864578 + 0.502499i \(0.832414\pi\)
\(228\) −1.37701 1.12081i −0.0911946 0.0742278i
\(229\) 3.92011 + 9.46398i 0.259048 + 0.625397i 0.998876 0.0473987i \(-0.0150931\pi\)
−0.739828 + 0.672796i \(0.765093\pi\)
\(230\) 14.4173 + 30.3244i 0.950648 + 1.99953i
\(231\) 3.35902 3.35902i 0.221008 0.221008i
\(232\) 9.19220 + 15.1279i 0.603498 + 0.993195i
\(233\) 3.06027 + 3.06027i 0.200485 + 0.200485i 0.800208 0.599723i \(-0.204722\pi\)
−0.599723 + 0.800208i \(0.704722\pi\)
\(234\) −1.65851 + 4.66486i −0.108420 + 0.304951i
\(235\) −37.9575 + 15.7225i −2.47608 + 1.02562i
\(236\) −0.852916 + 0.460327i −0.0555201 + 0.0299647i
\(237\) −4.90213 + 11.8348i −0.318428 + 0.768752i
\(238\) 11.0190 0.563614i 0.714258 0.0365337i
\(239\) 0.210325i 0.0136048i −0.999977 0.00680240i \(-0.997835\pi\)
0.999977 0.00680240i \(-0.00216529\pi\)
\(240\) −3.15424 15.2148i −0.203605 0.982109i
\(241\) 13.0724i 0.842068i 0.907045 + 0.421034i \(0.138333\pi\)
−0.907045 + 0.421034i \(0.861667\pi\)
\(242\) −0.0384489 0.751702i −0.00247159 0.0483213i
\(243\) 0.382683 0.923880i 0.0245492 0.0592669i
\(244\) −1.96320 + 6.56707i −0.125681 + 0.420413i
\(245\) 17.3853 7.20125i 1.11071 0.460071i
\(246\) 6.45693 + 2.29565i 0.411679 + 0.146365i
\(247\) 2.19758 + 2.19758i 0.139829 + 0.139829i
\(248\) −3.24694 2.37777i −0.206181 0.150989i
\(249\) 11.8540 11.8540i 0.751214 0.751214i
\(250\) −25.2531 + 12.0062i −1.59714 + 0.759339i
\(251\) −1.21528 2.93395i −0.0767079 0.185189i 0.880874 0.473351i \(-0.156956\pi\)
−0.957582 + 0.288162i \(0.906956\pi\)
\(252\) −0.299616 2.92118i −0.0188740 0.184017i
\(253\) −18.2696 7.56751i −1.14860 0.475765i
\(254\) 12.7189 14.0902i 0.798054 0.884095i
\(255\) 20.6413 1.29261
\(256\) 14.6813 6.36068i 0.917584 0.397542i
\(257\) 2.57305 0.160502 0.0802512 0.996775i \(-0.474428\pi\)
0.0802512 + 0.996775i \(0.474428\pi\)
\(258\) 6.67215 7.39149i 0.415390 0.460174i
\(259\) 2.29071 + 0.948841i 0.142338 + 0.0589581i
\(260\) 2.77509 + 27.0565i 0.172104 + 1.67797i
\(261\) 2.39502 + 5.78209i 0.148248 + 0.357903i
\(262\) −10.2137 + 4.85598i −0.631007 + 0.300003i
\(263\) 12.8467 12.8467i 0.792159 0.792159i −0.189686 0.981845i \(-0.560747\pi\)
0.981845 + 0.189686i \(0.0607469\pi\)
\(264\) 7.38307 + 5.40671i 0.454396 + 0.332760i
\(265\) −19.7257 19.7257i −1.21174 1.21174i
\(266\) −1.73683 0.617500i −0.106492 0.0378613i
\(267\) 1.29541 0.536575i 0.0792776 0.0328379i
\(268\) −3.77777 + 12.6369i −0.230764 + 0.771924i
\(269\) 3.18478 7.68874i 0.194180 0.468791i −0.796561 0.604558i \(-0.793350\pi\)
0.990741 + 0.135767i \(0.0433499\pi\)
\(270\) −0.280627 5.48644i −0.0170784 0.333894i
\(271\) 29.7589i 1.80772i −0.427823 0.903862i \(-0.640719\pi\)
0.427823 0.903862i \(-0.359281\pi\)
\(272\) 4.31465 + 20.8122i 0.261614 + 1.26192i
\(273\) 5.14010i 0.311093i
\(274\) 21.3326 1.09114i 1.28875 0.0659183i
\(275\) 12.4926 30.1598i 0.753333 1.81871i
\(276\) −10.7573 + 5.80584i −0.647515 + 0.349470i
\(277\) 13.4191 5.55836i 0.806274 0.333970i 0.0588078 0.998269i \(-0.481270\pi\)
0.747466 + 0.664300i \(0.231270\pi\)
\(278\) 2.05222 5.77225i 0.123084 0.346197i
\(279\) −1.00612 1.00612i −0.0602348 0.0602348i
\(280\) −8.37710 13.7865i −0.500628 0.823899i
\(281\) 0.428981 0.428981i 0.0255909 0.0255909i −0.694196 0.719786i \(-0.744240\pi\)
0.719786 + 0.694196i \(0.244240\pi\)
\(282\) −6.42235 13.5084i −0.382446 0.804411i
\(283\) 10.2786 + 24.8146i 0.610997 + 1.47508i 0.861907 + 0.507067i \(0.169270\pi\)
−0.250910 + 0.968010i \(0.580730\pi\)
\(284\) −6.39550 5.20561i −0.379503 0.308896i
\(285\) −3.18601 1.31969i −0.188723 0.0781716i
\(286\) −11.8903 10.7332i −0.703091 0.634666i
\(287\) 7.11474 0.419970
\(288\) 5.47318 1.42978i 0.322510 0.0842505i
\(289\) −11.2351 −0.660890
\(290\) 25.5217 + 23.0379i 1.49869 + 1.35283i
\(291\) −13.4240 5.56041i −0.786930 0.325957i
\(292\) 1.82237 2.23893i 0.106646 0.131023i
\(293\) −4.95811 11.9699i −0.289656 0.699292i 0.710333 0.703865i \(-0.248544\pi\)
−0.999990 + 0.00457366i \(0.998544\pi\)
\(294\) 2.94157 + 6.18711i 0.171556 + 0.360840i
\(295\) −1.33111 + 1.33111i −0.0775005 + 0.0775005i
\(296\) −1.13250 + 4.64017i −0.0658254 + 0.269704i
\(297\) 2.28777 + 2.28777i 0.132750 + 0.132750i
\(298\) 8.97777 25.2517i 0.520068 1.46279i
\(299\) 19.7684 8.18834i 1.14324 0.473544i
\(300\) −9.58440 17.7585i −0.553356 1.02528i
\(301\) 3.95618 9.55106i 0.228030 0.550514i
\(302\) −2.25960 + 0.115577i −0.130025 + 0.00665069i
\(303\) 1.94040i 0.111473i
\(304\) 0.664639 3.48823i 0.0381197 0.200064i
\(305\) 13.3129i 0.762293i
\(306\) 0.383867 + 7.50486i 0.0219442 + 0.429024i
\(307\) 8.37498 20.2190i 0.477985 1.15396i −0.482567 0.875859i \(-0.660296\pi\)
0.960552 0.278099i \(-0.0897044\pi\)
\(308\) 9.10271 + 2.72122i 0.518675 + 0.155056i
\(309\) 2.76338 1.14463i 0.157203 0.0651157i
\(310\) −7.36505 2.61851i −0.418307 0.148721i
\(311\) 5.71820 + 5.71820i 0.324249 + 0.324249i 0.850395 0.526145i \(-0.176363\pi\)
−0.526145 + 0.850395i \(0.676363\pi\)
\(312\) −9.78568 + 1.51215i −0.554005 + 0.0856084i
\(313\) 11.6027 11.6027i 0.655823 0.655823i −0.298566 0.954389i \(-0.596508\pi\)
0.954389 + 0.298566i \(0.0965083\pi\)
\(314\) −2.33898 + 1.11203i −0.131996 + 0.0627557i
\(315\) −2.18265 5.26938i −0.122978 0.296896i
\(316\) −25.4861 + 2.61402i −1.43370 + 0.147050i
\(317\) −19.5616 8.10268i −1.09869 0.455092i −0.241660 0.970361i \(-0.577692\pi\)
−0.857028 + 0.515269i \(0.827692\pi\)
\(318\) 6.80511 7.53879i 0.381612 0.422754i
\(319\) −20.2487 −1.13371
\(320\) 23.7821 20.0041i 1.32946 1.11826i
\(321\) −5.00379 −0.279284
\(322\) −8.50389 + 9.42072i −0.473903 + 0.524996i
\(323\) 4.35812 + 1.80519i 0.242492 + 0.100444i
\(324\) 1.98956 0.204063i 0.110531 0.0113368i
\(325\) 13.5175 + 32.6341i 0.749816 + 1.81022i
\(326\) −27.9087 + 13.2688i −1.54572 + 0.734890i
\(327\) −0.251083 + 0.251083i −0.0138849 + 0.0138849i
\(328\) 2.09306 + 13.5450i 0.115570 + 0.747897i
\(329\) −10.9806 10.9806i −0.605379 0.605379i
\(330\) 16.7470 + 5.95411i 0.921895 + 0.327763i
\(331\) 0.922294 0.382027i 0.0506939 0.0209981i −0.357192 0.934031i \(-0.616266\pi\)
0.407886 + 0.913033i \(0.366266\pi\)
\(332\) 32.1234 + 9.60316i 1.76300 + 0.527042i
\(333\) −0.646238 + 1.56016i −0.0354136 + 0.0854961i
\(334\) −0.245678 4.80316i −0.0134429 0.262817i
\(335\) 25.6178i 1.39965i
\(336\) 4.85675 3.30217i 0.264957 0.180148i
\(337\) 32.5245i 1.77172i 0.463949 + 0.885862i \(0.346432\pi\)
−0.463949 + 0.885862i \(0.653568\pi\)
\(338\) −1.05112 + 0.0537639i −0.0571734 + 0.00292437i
\(339\) −0.913437 + 2.20523i −0.0496111 + 0.119772i
\(340\) 19.6072 + 36.3293i 1.06335 + 1.97023i
\(341\) 4.25311 1.76170i 0.230319 0.0954012i
\(342\) 0.420567 1.18292i 0.0227417 0.0639652i
\(343\) 12.2968 + 12.2968i 0.663966 + 0.663966i
\(344\) 19.3471 + 4.72195i 1.04313 + 0.254591i
\(345\) −16.7886 + 16.7886i −0.903867 + 0.903867i
\(346\) −6.00579 12.6322i −0.322873 0.679111i
\(347\) −11.0057 26.5700i −0.590815 1.42635i −0.882717 0.469906i \(-0.844288\pi\)
0.291901 0.956448i \(-0.405712\pi\)
\(348\) −7.90159 + 9.70772i −0.423570 + 0.520388i
\(349\) −6.12429 2.53676i −0.327826 0.135790i 0.212700 0.977118i \(-0.431774\pi\)
−0.540525 + 0.841328i \(0.681774\pi\)
\(350\) −15.5519 14.0384i −0.831286 0.750385i
\(351\) −3.50082 −0.186860
\(352\) −2.50275 + 18.1302i −0.133397 + 0.966344i
\(353\) −27.1372 −1.44437 −0.722185 0.691700i \(-0.756862\pi\)
−0.722185 + 0.691700i \(0.756862\pi\)
\(354\) −0.508726 0.459217i −0.0270385 0.0244071i
\(355\) −14.7974 6.12928i −0.785364 0.325309i
\(356\) 2.17490 + 1.77025i 0.115269 + 0.0938233i
\(357\) 2.98563 + 7.20794i 0.158016 + 0.381485i
\(358\) −11.1975 23.5522i −0.591809 1.24477i
\(359\) −6.86522 + 6.86522i −0.362332 + 0.362332i −0.864671 0.502339i \(-0.832473\pi\)
0.502339 + 0.864671i \(0.332473\pi\)
\(360\) 9.38970 5.70549i 0.494881 0.300706i
\(361\) 12.8778 + 12.8778i 0.677777 + 0.677777i
\(362\) −8.91650 + 25.0793i −0.468641 + 1.31814i
\(363\) 0.491715 0.203675i 0.0258084 0.0106902i
\(364\) −9.04670 + 4.88259i −0.474176 + 0.255917i
\(365\) 2.14573 5.18025i 0.112313 0.271147i
\(366\) −4.84035 + 0.247580i −0.253009 + 0.0129412i
\(367\) 32.3050i 1.68631i 0.537671 + 0.843154i \(0.319304\pi\)
−0.537671 + 0.843154i \(0.680696\pi\)
\(368\) −20.4368 13.4182i −1.06534 0.699472i
\(369\) 4.84572i 0.252258i
\(370\) 0.473895 + 9.26496i 0.0246366 + 0.481662i
\(371\) 4.03502 9.74139i 0.209488 0.505748i
\(372\) 0.815080 2.72651i 0.0422599 0.141363i
\(373\) 1.12962 0.467902i 0.0584893 0.0242271i −0.353247 0.935530i \(-0.614922\pi\)
0.411736 + 0.911303i \(0.364922\pi\)
\(374\) −22.9082 8.14458i −1.18455 0.421146i
\(375\) −13.9809 13.9809i −0.721973 0.721973i
\(376\) 17.6744 24.1351i 0.911489 1.24467i
\(377\) 15.4926 15.4926i 0.797911 0.797911i
\(378\) 1.87527 0.891570i 0.0964535 0.0458574i
\(379\) −12.6694 30.5866i −0.650783 1.57113i −0.811644 0.584152i \(-0.801427\pi\)
0.160861 0.986977i \(-0.448573\pi\)
\(380\) −0.703713 6.86103i −0.0360997 0.351964i
\(381\) 12.4004 + 5.13640i 0.635289 + 0.263145i
\(382\) −9.39526 + 10.4082i −0.480703 + 0.532529i
\(383\) 9.01248 0.460516 0.230258 0.973130i \(-0.426043\pi\)
0.230258 + 0.973130i \(0.426043\pi\)
\(384\) 7.71543 + 8.27479i 0.393726 + 0.422271i
\(385\) 18.4532 0.940461
\(386\) −9.33241 + 10.3386i −0.475007 + 0.526219i
\(387\) 6.50505 + 2.69448i 0.330670 + 0.136968i
\(388\) −2.96504 28.9084i −0.150527 1.46760i
\(389\) −0.147171 0.355303i −0.00746188 0.0180146i 0.920105 0.391673i \(-0.128103\pi\)
−0.927567 + 0.373658i \(0.878103\pi\)
\(390\) −17.3691 + 8.25787i −0.879516 + 0.418153i
\(391\) 22.9650 22.9650i 1.16139 1.16139i
\(392\) −8.09526 + 11.0544i −0.408872 + 0.558331i
\(393\) −5.65467 5.65467i −0.285240 0.285240i
\(394\) −19.0270 6.76470i −0.958566 0.340801i
\(395\) −45.9731 + 19.0427i −2.31316 + 0.958141i
\(396\) −1.85337 + 6.19968i −0.0931355 + 0.311546i
\(397\) −10.7013 + 25.8353i −0.537084 + 1.29664i 0.389666 + 0.920956i \(0.372591\pi\)
−0.926750 + 0.375679i \(0.877409\pi\)
\(398\) −0.627774 12.2734i −0.0314675 0.615210i
\(399\) 1.30344i 0.0652535i
\(400\) 22.1511 33.7376i 1.10755 1.68688i
\(401\) 39.5351i 1.97429i 0.159825 + 0.987145i \(0.448907\pi\)
−0.159825 + 0.987145i \(0.551093\pi\)
\(402\) −9.31423 + 0.476415i −0.464552 + 0.0237614i
\(403\) −1.90623 + 4.60204i −0.0949559 + 0.229244i
\(404\) 3.41516 1.84319i 0.169910 0.0917023i
\(405\) 3.58888 1.48656i 0.178333 0.0738678i
\(406\) −4.35329 + 12.2444i −0.216050 + 0.607681i
\(407\) −3.86336 3.86336i −0.191500 0.191500i
\(408\) −12.8441 + 7.80449i −0.635878 + 0.386380i
\(409\) −16.6530 + 16.6530i −0.823439 + 0.823439i −0.986600 0.163160i \(-0.947831\pi\)
0.163160 + 0.986600i \(0.447831\pi\)
\(410\) 11.4302 + 24.0416i 0.564500 + 1.18733i
\(411\) 5.78010 + 13.9544i 0.285111 + 0.688319i
\(412\) 4.63951 + 3.77633i 0.228572 + 0.186046i
\(413\) −0.657361 0.272288i −0.0323466 0.0133984i
\(414\) −6.41627 5.79184i −0.315343 0.284653i
\(415\) 65.1211 3.19667
\(416\) −11.9569 15.7867i −0.586233 0.774004i
\(417\) 4.33189 0.212133
\(418\) 3.01518 + 2.72174i 0.147477 + 0.133125i
\(419\) 30.2809 + 12.5428i 1.47932 + 0.612754i 0.968962 0.247210i \(-0.0795136\pi\)
0.510356 + 0.859963i \(0.329514\pi\)
\(420\) 7.20093 8.84691i 0.351370 0.431685i
\(421\) −14.0297 33.8706i −0.683764 1.65075i −0.756981 0.653436i \(-0.773327\pi\)
0.0732174 0.997316i \(-0.476673\pi\)
\(422\) −6.57058 13.8201i −0.319851 0.672754i
\(423\) 7.47867 7.47867i 0.363626 0.363626i
\(424\) 19.7326 + 4.81605i 0.958302 + 0.233888i
\(425\) 37.9111 + 37.9111i 1.83896 + 1.83896i
\(426\) 1.95332 5.49408i 0.0946387 0.266189i
\(427\) −4.64885 + 1.92561i −0.224973 + 0.0931870i
\(428\) −4.75311 8.80680i −0.229750 0.425693i
\(429\) 4.33448 10.4644i 0.209271 0.505224i
\(430\) 38.6301 1.97590i 1.86291 0.0952862i
\(431\) 11.0244i 0.531027i −0.964107 0.265513i \(-0.914459\pi\)
0.964107 0.265513i \(-0.0855414\pi\)
\(432\) 2.24904 + 3.30784i 0.108207 + 0.159148i
\(433\) 26.0973i 1.25416i −0.778956 0.627079i \(-0.784250\pi\)
0.778956 0.627079i \(-0.215750\pi\)
\(434\) −0.150922 2.95062i −0.00724447 0.141634i
\(435\) −9.30363 + 22.4609i −0.446075 + 1.07692i
\(436\) −0.680418 0.203408i −0.0325861 0.00974150i
\(437\) −5.01291 + 2.07642i −0.239800 + 0.0993285i
\(438\) 1.92336 + 0.683816i 0.0919017 + 0.0326740i
\(439\) −9.89316 9.89316i −0.472175 0.472175i 0.430443 0.902618i \(-0.358357\pi\)
−0.902618 + 0.430443i \(0.858357\pi\)
\(440\) 5.42867 + 35.1310i 0.258802 + 1.67481i
\(441\) −3.42539 + 3.42539i −0.163114 + 0.163114i
\(442\) 23.7590 11.2959i 1.13010 0.537290i
\(443\) 7.29919 + 17.6218i 0.346795 + 0.837237i 0.996994 + 0.0774732i \(0.0246852\pi\)
−0.650200 + 0.759763i \(0.725315\pi\)
\(444\) −3.35978 + 0.344601i −0.159448 + 0.0163540i
\(445\) 5.03210 + 2.08436i 0.238544 + 0.0988083i
\(446\) 13.3802 14.8228i 0.633571 0.701879i
\(447\) 18.9505 0.896330
\(448\) 10.4253 + 5.41126i 0.492550 + 0.255658i
\(449\) 7.16414 0.338096 0.169048 0.985608i \(-0.445931\pi\)
0.169048 + 0.985608i \(0.445931\pi\)
\(450\) 9.56130 10.5921i 0.450724 0.499318i
\(451\) −14.4844 5.99964i −0.682044 0.282512i
\(452\) −4.74894 + 0.487083i −0.223371 + 0.0229104i
\(453\) −0.612243 1.47809i −0.0287657 0.0694465i
\(454\) 23.3407 11.0970i 1.09543 0.520808i
\(455\) −14.1189 + 14.1189i −0.661902 + 0.661902i
\(456\) 2.48147 0.383453i 0.116206 0.0179568i
\(457\) −15.2704 15.2704i −0.714317 0.714317i 0.253118 0.967435i \(-0.418544\pi\)
−0.967435 + 0.253118i \(0.918544\pi\)
\(458\) −13.6498 4.85294i −0.637814 0.226763i
\(459\) −4.90919 + 2.03345i −0.229142 + 0.0949135i
\(460\) −45.4958 13.6008i −2.12125 0.634141i
\(461\) −5.40240 + 13.0425i −0.251615 + 0.607452i −0.998335 0.0576867i \(-0.981628\pi\)
0.746720 + 0.665139i \(0.231628\pi\)
\(462\) 0.343174 + 6.70928i 0.0159659 + 0.312144i
\(463\) 13.5410i 0.629305i 0.949207 + 0.314652i \(0.101888\pi\)
−0.949207 + 0.314652i \(0.898112\pi\)
\(464\) −24.5916 4.68561i −1.14163 0.217524i
\(465\) 5.52723i 0.256319i
\(466\) −6.11255 + 0.312652i −0.283159 + 0.0144833i
\(467\) 6.18122 14.9228i 0.286033 0.690544i −0.713920 0.700227i \(-0.753082\pi\)
0.999953 + 0.00968289i \(0.00308221\pi\)
\(468\) −3.32544 6.16154i −0.153719 0.284817i
\(469\) −8.94573 + 3.70544i −0.413075 + 0.171101i
\(470\) 19.4639 54.7458i 0.897802 2.52524i
\(471\) −1.29494 1.29494i −0.0596676 0.0596676i
\(472\) 0.324993 1.33158i 0.0149590 0.0612910i
\(473\) −16.1082 + 16.1082i −0.740656 + 0.740656i
\(474\) −7.77857 16.3609i −0.357282 0.751483i
\(475\) −3.42780 8.27543i −0.157278 0.379703i
\(476\) −9.85010 + 12.1016i −0.451479 + 0.554676i
\(477\) 6.63468 + 2.74817i 0.303781 + 0.125830i
\(478\) 0.220794 + 0.199307i 0.0100989 + 0.00911607i
\(479\) −6.44443 −0.294453 −0.147227 0.989103i \(-0.547035\pi\)
−0.147227 + 0.989103i \(0.547035\pi\)
\(480\) 18.9611 + 11.1065i 0.865452 + 0.506938i
\(481\) 5.91185 0.269557
\(482\) −13.7231 12.3876i −0.625070 0.564238i
\(483\) −8.29091 3.43421i −0.377250 0.156262i
\(484\) 0.825555 + 0.671960i 0.0375252 + 0.0305436i
\(485\) −21.5998 52.1465i −0.980797 2.36785i
\(486\) 0.607232 + 1.27721i 0.0275446 + 0.0579355i
\(487\) 4.42962 4.42962i 0.200725 0.200725i −0.599585 0.800311i \(-0.704668\pi\)
0.800311 + 0.599585i \(0.204668\pi\)
\(488\) −5.03360 8.28395i −0.227860 0.374997i
\(489\) −15.4512 15.4512i −0.698727 0.698727i
\(490\) −8.91486 + 25.0747i −0.402732 + 1.13276i
\(491\) −11.7801 + 4.87947i −0.531628 + 0.220207i −0.632316 0.774711i \(-0.717896\pi\)
0.100688 + 0.994918i \(0.467896\pi\)
\(492\) −8.52858 + 4.60296i −0.384498 + 0.207517i
\(493\) 12.7264 30.7242i 0.573167 1.38375i
\(494\) −4.38942 + 0.224515i −0.197489 + 0.0101014i
\(495\) 12.5681i 0.564895i
\(496\) 5.57297 1.15536i 0.250234 0.0518770i
\(497\) 6.05380i 0.271550i
\(498\) 1.21106 + 23.6770i 0.0542687 + 1.06099i
\(499\) 2.23679 5.40009i 0.100132 0.241741i −0.865873 0.500265i \(-0.833236\pi\)
0.966005 + 0.258524i \(0.0832360\pi\)
\(500\) 11.3263 37.8873i 0.506526 1.69437i
\(501\) 3.14192 1.30143i 0.140371 0.0581434i
\(502\) 4.23161 + 1.50447i 0.188866 + 0.0671478i
\(503\) 2.89565 + 2.89565i 0.129111 + 0.129111i 0.768709 0.639598i \(-0.220899\pi\)
−0.639598 + 0.768709i \(0.720899\pi\)
\(504\) 3.35051 + 2.45362i 0.149243 + 0.109293i
\(505\) 5.32991 5.32991i 0.237178 0.237178i
\(506\) 25.2567 12.0079i 1.12280 0.533817i
\(507\) −0.284803 0.687575i −0.0126485 0.0305363i
\(508\) 2.73894 + 26.7040i 0.121521 + 1.18480i
\(509\) 5.36042 + 2.22036i 0.237596 + 0.0984156i 0.498305 0.867002i \(-0.333956\pi\)
−0.260708 + 0.965418i \(0.583956\pi\)
\(510\) −19.5600 + 21.6688i −0.866131 + 0.959511i
\(511\) 2.11930 0.0937525
\(512\) −7.23493 + 21.4396i −0.319742 + 0.947505i
\(513\) 0.887747 0.0391950
\(514\) −2.43825 + 2.70113i −0.107547 + 0.119142i
\(515\) 10.7345 + 4.44639i 0.473020 + 0.195931i
\(516\) 1.43681 + 14.0085i 0.0632519 + 0.616691i
\(517\) 13.0950 + 31.6142i 0.575919 + 1.39039i
\(518\) −3.16677 + 1.50560i −0.139140 + 0.0661521i
\(519\) 6.99360 6.99360i 0.306985 0.306985i
\(520\) −31.0330 22.7258i −1.36088 0.996592i
\(521\) 18.2831 + 18.2831i 0.800998 + 0.800998i 0.983252 0.182254i \(-0.0583392\pi\)
−0.182254 + 0.983252i \(0.558339\pi\)
\(522\) −8.33946 2.96494i −0.365008 0.129772i
\(523\) −5.66441 + 2.34627i −0.247687 + 0.102595i −0.503073 0.864244i \(-0.667797\pi\)
0.255386 + 0.966839i \(0.417797\pi\)
\(524\) 4.58097 15.3237i 0.200121 0.669420i
\(525\) 5.66927 13.6868i 0.247427 0.597342i
\(526\) 1.31248 + 25.6598i 0.0572267 + 1.11882i
\(527\) 7.56065i 0.329347i
\(528\) −12.6721 + 2.62711i −0.551483 + 0.114330i
\(529\) 14.3570i 0.624217i
\(530\) 39.3999 2.01527i 1.71142 0.0875378i
\(531\) 0.185450 0.447716i 0.00804785 0.0194292i
\(532\) 2.29408 1.23814i 0.0994610 0.0536800i
\(533\) 15.6727 6.49185i 0.678860 0.281193i
\(534\) −0.664259 + 1.86835i −0.0287453 + 0.0808516i
\(535\) −13.7445 13.7445i −0.594224 0.594224i
\(536\) −9.68611 15.9407i −0.418376 0.688535i
\(537\) 13.0393 13.0393i 0.562686 0.562686i
\(538\) 5.05352 + 10.6293i 0.217873 + 0.458260i
\(539\) −5.99780 14.4800i −0.258343 0.623696i
\(540\) 6.02546 + 4.90442i 0.259295 + 0.211053i
\(541\) 5.96613 + 2.47125i 0.256504 + 0.106247i 0.507230 0.861811i \(-0.330669\pi\)
−0.250726 + 0.968058i \(0.580669\pi\)
\(542\) 31.2402 + 28.1999i 1.34188 + 1.21129i
\(543\) −18.8212 −0.807696
\(544\) −25.9367 15.1924i −1.11203 0.651370i
\(545\) −1.37936 −0.0590851
\(546\) −5.39596 4.87082i −0.230926 0.208452i
\(547\) 32.5453 + 13.4807i 1.39154 + 0.576393i 0.947541 0.319635i \(-0.103560\pi\)
0.443996 + 0.896029i \(0.353560\pi\)
\(548\) −19.0695 + 23.4284i −0.814611 + 1.00081i
\(549\) −1.31150 3.16624i −0.0559735 0.135132i
\(550\) 19.8229 + 41.6943i 0.845253 + 1.77785i
\(551\) −3.92865 + 3.92865i −0.167366 + 0.167366i
\(552\) 4.09895 16.7945i 0.174463 0.714821i
\(553\) −13.2994 13.2994i −0.565547 0.565547i
\(554\) −6.88104 + 19.3542i −0.292347 + 0.822282i
\(555\) −6.06054 + 2.51036i −0.257256 + 0.106559i
\(556\) 4.11487 + 7.62423i 0.174509 + 0.323339i
\(557\) −6.30768 + 15.2281i −0.267265 + 0.645235i −0.999353 0.0359756i \(-0.988546\pi\)
0.732088 + 0.681210i \(0.238546\pi\)
\(558\) 2.00961 0.102790i 0.0850736 0.00435144i
\(559\) 24.6494i 1.04256i
\(560\) 22.4110 + 4.27013i 0.947036 + 0.180446i
\(561\) 17.1918i 0.725839i
\(562\) 0.0438267 + 0.856842i 0.00184872 + 0.0361437i
\(563\) −3.06528 + 7.40024i −0.129186 + 0.311883i −0.975217 0.221251i \(-0.928986\pi\)
0.846031 + 0.533134i \(0.178986\pi\)
\(564\) 20.2667 + 6.05864i 0.853380 + 0.255115i
\(565\) −8.56638 + 3.54831i −0.360390 + 0.149279i
\(566\) −35.7899 12.7245i −1.50436 0.534849i
\(567\) 1.03821 + 1.03821i 0.0436008 + 0.0436008i
\(568\) 11.5252 1.78094i 0.483586 0.0747268i
\(569\) 17.9001 17.9001i 0.750410 0.750410i −0.224146 0.974556i \(-0.571959\pi\)
0.974556 + 0.224146i \(0.0719591\pi\)
\(570\) 4.40448 2.09405i 0.184483 0.0877100i
\(571\) −2.41948 5.84113i −0.101252 0.244444i 0.865133 0.501542i \(-0.167234\pi\)
−0.966385 + 0.257098i \(0.917234\pi\)
\(572\) 22.5349 2.31133i 0.942230 0.0966414i
\(573\) −9.15996 3.79418i −0.382663 0.158504i
\(574\) −6.74201 + 7.46889i −0.281406 + 0.311745i
\(575\) −61.6698 −2.57181
\(576\) −3.68551 + 7.10050i −0.153563 + 0.295854i
\(577\) −24.5768 −1.02314 −0.511572 0.859240i \(-0.670937\pi\)
−0.511572 + 0.859240i \(0.670937\pi\)
\(578\) 10.6465 11.7944i 0.442838 0.490581i
\(579\) −9.09868 3.76880i −0.378128 0.156626i
\(580\) −48.3694 + 4.96108i −2.00843 + 0.205998i
\(581\) 9.41931 + 22.7402i 0.390779 + 0.943424i
\(582\) 18.5580 8.82311i 0.769252 0.365730i
\(583\) −16.4292 + 16.4292i −0.680429 + 0.680429i
\(584\) 0.623471 + 4.03472i 0.0257994 + 0.166958i
\(585\) −9.61609 9.61609i −0.397576 0.397576i
\(586\) 17.2641 + 6.13795i 0.713175 + 0.253556i
\(587\) 29.2268 12.1061i 1.20632 0.499674i 0.313284 0.949659i \(-0.398571\pi\)
0.893036 + 0.449985i \(0.148571\pi\)
\(588\) −9.28255 2.77499i −0.382806 0.114438i
\(589\) 0.483385 1.16699i 0.0199175 0.0480852i
\(590\) −0.135993 2.65875i −0.00559874 0.109459i
\(591\) 14.2791i 0.587365i
\(592\) −3.79797 5.58595i −0.156095 0.229581i
\(593\) 20.8403i 0.855810i −0.903824 0.427905i \(-0.859252\pi\)
0.903824 0.427905i \(-0.140748\pi\)
\(594\) −4.56956 + 0.233729i −0.187491 + 0.00959003i
\(595\) −11.5979 + 27.9998i −0.475467 + 1.14788i
\(596\) 18.0012 + 33.3534i 0.737356 + 1.36621i
\(597\) 8.02847 3.32550i 0.328584 0.136104i
\(598\) −10.1369 + 28.5118i −0.414527 + 1.16593i
\(599\) 31.6901 + 31.6901i 1.29482 + 1.29482i 0.931768 + 0.363053i \(0.118266\pi\)
0.363053 + 0.931768i \(0.381734\pi\)
\(600\) 27.7247 + 6.76664i 1.13186 + 0.276247i
\(601\) −12.9864 + 12.9864i −0.529726 + 0.529726i −0.920491 0.390764i \(-0.872211\pi\)
0.390764 + 0.920491i \(0.372211\pi\)
\(602\) 6.27756 + 13.2038i 0.255854 + 0.538147i
\(603\) −2.52371 6.09277i −0.102773 0.248117i
\(604\) 2.01990 2.48160i 0.0821884 0.100975i
\(605\) 1.91010 + 0.791190i 0.0776567 + 0.0321665i
\(606\) 2.03699 + 1.83875i 0.0827471 + 0.0746941i
\(607\) −7.55886 −0.306805 −0.153402 0.988164i \(-0.549023\pi\)
−0.153402 + 0.988164i \(0.549023\pi\)
\(608\) 3.03204 + 4.00321i 0.122966 + 0.162352i
\(609\) −9.18905 −0.372359
\(610\) −13.9755 12.6154i −0.565853 0.510784i
\(611\) −34.2078 14.1693i −1.38390 0.573230i
\(612\) −8.24218 6.70872i −0.333170 0.271184i
\(613\) −5.16053 12.4586i −0.208432 0.503199i 0.784745 0.619819i \(-0.212794\pi\)
−0.993177 + 0.116620i \(0.962794\pi\)
\(614\) 13.2892 + 27.9516i 0.536308 + 1.12804i
\(615\) −13.3102 + 13.3102i −0.536721 + 0.536721i
\(616\) −11.4825 + 6.97715i −0.462644 + 0.281117i
\(617\) −23.7425 23.7425i −0.955835 0.955835i 0.0432297 0.999065i \(-0.486235\pi\)
−0.999065 + 0.0432297i \(0.986235\pi\)
\(618\) −1.41701 + 3.98560i −0.0570003 + 0.160324i
\(619\) 37.9338 15.7127i 1.52469 0.631547i 0.546165 0.837678i \(-0.316087\pi\)
0.978524 + 0.206131i \(0.0660872\pi\)
\(620\) 9.72806 5.25033i 0.390688 0.210858i
\(621\) 2.33898 5.64679i 0.0938598 0.226598i
\(622\) −11.4215 + 0.584198i −0.457959 + 0.0234242i
\(623\) 2.05869i 0.0824798i
\(624\) 7.68562 11.7057i 0.307671 0.468604i
\(625\) 26.3564i 1.05426i
\(626\) 1.18539 + 23.1751i 0.0473775 + 0.926263i
\(627\) −1.09915 + 2.65358i −0.0438957 + 0.105974i
\(628\) 1.04906 3.50918i 0.0418620 0.140032i
\(629\) 8.29016 3.43390i 0.330551 0.136919i
\(630\) 7.59997 + 2.70203i 0.302790 + 0.107652i
\(631\) −5.63001 5.63001i −0.224127 0.224127i 0.586107 0.810234i \(-0.300660\pi\)
−0.810234 + 0.586107i \(0.800660\pi\)
\(632\) 21.4068 29.2318i 0.851516 1.16278i
\(633\) 7.65129 7.65129i 0.304111 0.304111i
\(634\) 27.0428 12.8571i 1.07401 0.510621i
\(635\) 19.9527 + 48.1701i 0.791798 + 1.91157i
\(636\) 1.46544 + 14.2877i 0.0581085 + 0.566544i
\(637\) 15.6679 + 6.48986i 0.620785 + 0.257137i
\(638\) 19.1879 21.2566i 0.759656 0.841557i
\(639\) 4.12313 0.163108
\(640\) −1.53644 + 43.9220i −0.0607333 + 1.73617i
\(641\) 36.4242 1.43867 0.719334 0.694664i \(-0.244447\pi\)
0.719334 + 0.694664i \(0.244447\pi\)
\(642\) 4.74165 5.25287i 0.187138 0.207314i
\(643\) −22.9769 9.51734i −0.906120 0.375327i −0.119550 0.992828i \(-0.538145\pi\)
−0.786570 + 0.617501i \(0.788145\pi\)
\(644\) −1.83126 17.8544i −0.0721618 0.703561i
\(645\) 10.4669 + 25.2693i 0.412133 + 0.994978i
\(646\) −6.02486 + 2.86443i −0.237045 + 0.112700i
\(647\) −34.0895 + 34.0895i −1.34020 + 1.34020i −0.444336 + 0.895860i \(0.646560\pi\)
−0.895860 + 0.444336i \(0.853440\pi\)
\(648\) −1.67111 + 2.28197i −0.0656475 + 0.0896442i
\(649\) 1.10866 + 1.10866i 0.0435188 + 0.0435188i
\(650\) −47.0679 16.7341i −1.84616 0.656367i
\(651\) 1.93010 0.799475i 0.0756468 0.0313339i
\(652\) 12.5174 41.8716i 0.490218 1.63982i
\(653\) 11.4288 27.5915i 0.447243 1.07974i −0.526108 0.850418i \(-0.676349\pi\)
0.973351 0.229322i \(-0.0736508\pi\)
\(654\) −0.0256519 0.501511i −0.00100307 0.0196106i
\(655\) 31.0645i 1.21379i
\(656\) −16.2026 10.6382i −0.632607 0.415350i
\(657\) 1.44342i 0.0563131i
\(658\) 21.9325 1.12183i 0.855018 0.0437334i
\(659\) −4.60322 + 11.1132i −0.179316 + 0.432907i −0.987824 0.155579i \(-0.950276\pi\)
0.808507 + 0.588486i \(0.200276\pi\)
\(660\) −22.1202 + 11.9385i −0.861027 + 0.464705i
\(661\) −18.8580 + 7.81122i −0.733490 + 0.303821i −0.717985 0.696058i \(-0.754935\pi\)
−0.0155046 + 0.999880i \(0.504935\pi\)
\(662\) −0.472934 + 1.33022i −0.0183811 + 0.0517003i
\(663\) 13.1538 + 13.1538i 0.510850 + 0.510850i
\(664\) −40.5217 + 24.6223i −1.57255 + 0.955530i
\(665\) 3.58029 3.58029i 0.138838 0.138838i
\(666\) −1.02543 2.15683i −0.0397347 0.0835754i
\(667\) 14.6385 + 35.3404i 0.566803 + 1.36838i
\(668\) 5.27506 + 4.29363i 0.204098 + 0.166125i
\(669\) 13.0451 + 5.40346i 0.504353 + 0.208910i
\(670\) −26.8930 24.2758i −1.03897 0.937855i
\(671\) 11.0881 0.428050
\(672\) −1.13577 + 8.22767i −0.0438134 + 0.317389i
\(673\) −46.7689 −1.80281 −0.901404 0.432979i \(-0.857463\pi\)
−0.901404 + 0.432979i \(0.857463\pi\)
\(674\) −34.1435 30.8206i −1.31516 1.18717i
\(675\) 9.32184 + 3.86123i 0.358798 + 0.148619i
\(676\) 0.939614 1.15439i 0.0361390 0.0443996i
\(677\) −7.05433 17.0307i −0.271120 0.654541i 0.728412 0.685140i \(-0.240259\pi\)
−0.999532 + 0.0305981i \(0.990259\pi\)
\(678\) −1.44942 3.04861i −0.0556646 0.117081i
\(679\) 15.0853 15.0853i 0.578920 0.578920i
\(680\) −56.7177 13.8428i −2.17502 0.530848i
\(681\) 12.9222 + 12.9222i 0.495179 + 0.495179i
\(682\) −2.18091 + 6.13422i −0.0835115 + 0.234892i
\(683\) 36.1287 14.9650i 1.38243 0.572620i 0.437297 0.899317i \(-0.355936\pi\)
0.945129 + 0.326697i \(0.105936\pi\)
\(684\) 0.843272 + 1.56246i 0.0322433 + 0.0597420i
\(685\) −22.4532 + 54.2068i −0.857893 + 2.07114i
\(686\) −24.5615 + 1.25630i −0.937764 + 0.0479658i
\(687\) 10.2437i 0.390823i
\(688\) −23.2905 + 15.8355i −0.887943 + 0.603725i
\(689\) 25.1406i 0.957779i
\(690\) −1.71520 33.5333i −0.0652966 1.27659i
\(691\) −11.2605 + 27.1853i −0.428371 + 1.03418i 0.551434 + 0.834219i \(0.314081\pi\)
−0.979804 + 0.199959i \(0.935919\pi\)
\(692\) 18.9521 + 5.66567i 0.720452 + 0.215377i
\(693\) −4.38878 + 1.81789i −0.166716 + 0.0690560i
\(694\) 38.3217 + 13.6246i 1.45467 + 0.517182i
\(695\) 11.8989 + 11.8989i 0.451349 + 0.451349i
\(696\) −2.70329 17.4941i −0.102468 0.663111i
\(697\) 18.2070 18.2070i 0.689639 0.689639i
\(698\) 8.46648 4.02527i 0.320461 0.152359i
\(699\) −1.65621 3.99844i −0.0626435 0.151235i
\(700\) 29.4744 3.02309i 1.11403 0.114262i
\(701\) −21.0746 8.72940i −0.795978 0.329705i −0.0526339 0.998614i \(-0.516762\pi\)
−0.743344 + 0.668909i \(0.766762\pi\)
\(702\) 3.31742 3.67508i 0.125208 0.138707i
\(703\) −1.49914 −0.0565411
\(704\) −16.6610 19.8077i −0.627937 0.746533i
\(705\) 41.0849 1.54735
\(706\) 25.7156 28.4881i 0.967819 1.07216i
\(707\) 2.63214 + 1.09027i 0.0989917 + 0.0410037i
\(708\) 0.964151 0.0988897i 0.0362350 0.00371650i
\(709\) 0.617186 + 1.49002i 0.0231789 + 0.0559588i 0.935045 0.354528i \(-0.115359\pi\)
−0.911866 + 0.410487i \(0.865359\pi\)
\(710\) 20.4566 9.72578i 0.767721 0.365002i
\(711\) 9.05796 9.05796i 0.339700 0.339700i
\(712\) −3.91933 + 0.605640i −0.146883 + 0.0226973i
\(713\) −6.14944 6.14944i −0.230298 0.230298i
\(714\) −10.3959 3.69609i −0.389058 0.138323i
\(715\) 40.6496 16.8376i 1.52021 0.629691i
\(716\) 35.3355 + 10.5634i 1.32055 + 0.394773i
\(717\) −0.0804880 + 0.194315i −0.00300588 + 0.00725683i
\(718\) −0.701383 13.7125i −0.0261754 0.511746i
\(719\) 11.8288i 0.441140i 0.975371 + 0.220570i \(0.0707917\pi\)
−0.975371 + 0.220570i \(0.929208\pi\)
\(720\) −2.90830 + 15.2637i −0.108386 + 0.568844i
\(721\) 4.39163i 0.163553i
\(722\) −25.7219 + 1.31565i −0.957270 + 0.0489635i
\(723\) 5.00259 12.0773i 0.186048 0.449161i
\(724\) −17.8783 33.1258i −0.664442 1.23111i
\(725\) −58.3407 + 24.1655i −2.16672 + 0.897484i
\(726\) −0.252142 + 0.709196i −0.00935786 + 0.0263207i
\(727\) −12.9471 12.9471i −0.480182 0.480182i 0.425008 0.905190i \(-0.360271\pi\)
−0.905190 + 0.425008i \(0.860271\pi\)
\(728\) 3.44713 14.1238i 0.127759 0.523463i
\(729\) −0.707107 + 0.707107i −0.0261891 + 0.0261891i
\(730\) 3.40479 + 7.16141i 0.126017 + 0.265056i
\(731\) −14.3176 34.5657i −0.529555 1.27846i
\(732\) 4.32687 5.31589i 0.159926 0.196481i
\(733\) 8.82183 + 3.65412i 0.325842 + 0.134968i 0.539607 0.841917i \(-0.318573\pi\)
−0.213765 + 0.976885i \(0.568573\pi\)
\(734\) −33.9131 30.6126i −1.25175 1.12993i
\(735\) −18.8178 −0.694104
\(736\) 33.4523 8.73886i 1.23307 0.322119i
\(737\) 21.3367 0.785946
\(738\) −5.08692 4.59186i −0.187252 0.169029i
\(739\) 2.54866 + 1.05569i 0.0937540 + 0.0388342i 0.429068 0.903272i \(-0.358842\pi\)
−0.335313 + 0.942107i \(0.608842\pi\)
\(740\) −10.1752 8.28211i −0.374048 0.304456i
\(741\) −1.18932 2.87127i −0.0436908 0.105479i
\(742\) 6.40266 + 13.4669i 0.235049 + 0.494386i
\(743\) 14.0090 14.0090i 0.513942 0.513942i −0.401790 0.915732i \(-0.631612\pi\)
0.915732 + 0.401790i \(0.131612\pi\)
\(744\) 2.08985 + 3.43933i 0.0766175 + 0.126092i
\(745\) 52.0535 + 52.0535i 1.90709 + 1.90709i
\(746\) −0.579245 + 1.62923i −0.0212077 + 0.0596505i
\(747\) −15.4879 + 6.41532i −0.566674 + 0.234724i
\(748\) 30.2580 16.3305i 1.10634 0.597104i
\(749\) 2.81151 6.78759i 0.102730 0.248013i
\(750\) 27.9254 1.42836i 1.01969 0.0521563i
\(751\) 1.69567i 0.0618757i −0.999521 0.0309379i \(-0.990151\pi\)
0.999521 0.0309379i \(-0.00984940\pi\)
\(752\) 8.58797 + 41.4249i 0.313171 + 1.51061i
\(753\) 3.17568i 0.115728i
\(754\) 1.58280 + 30.9448i 0.0576422 + 1.12694i
\(755\) 2.37830 5.74173i 0.0865553 0.208963i
\(756\) −0.841079 + 2.81348i −0.0305897 + 0.102325i
\(757\) 21.3707 8.85204i 0.776731 0.321733i 0.0411358 0.999154i \(-0.486902\pi\)
0.735596 + 0.677421i \(0.236902\pi\)
\(758\) 44.1148 + 15.6842i 1.60232 + 0.569676i
\(759\) 13.9829 + 13.9829i 0.507548 + 0.507548i
\(760\) 7.86940 + 5.76286i 0.285453 + 0.209041i
\(761\) −16.4756 + 16.4756i −0.597239 + 0.597239i −0.939577 0.342338i \(-0.888781\pi\)
0.342338 + 0.939577i \(0.388781\pi\)
\(762\) −17.1428 + 8.15029i −0.621018 + 0.295254i
\(763\) −0.199514 0.481670i −0.00722290 0.0174376i
\(764\) −2.02321 19.7258i −0.0731973 0.713656i
\(765\) −19.0701 7.89910i −0.689481 0.285593i
\(766\) −8.54034 + 9.46109i −0.308575 + 0.341843i
\(767\) −1.69652 −0.0612576
\(768\) −15.9979 + 0.258192i −0.577275 + 0.00931670i
\(769\) −10.8924 −0.392791 −0.196395 0.980525i \(-0.562924\pi\)
−0.196395 + 0.980525i \(0.562924\pi\)
\(770\) −17.4865 + 19.3717i −0.630168 + 0.698108i
\(771\) −2.37719 0.984663i −0.0856123 0.0354618i
\(772\) −2.00968 19.5939i −0.0723299 0.705200i
\(773\) 19.5101 + 47.1015i 0.701728 + 1.69412i 0.719701 + 0.694284i \(0.244279\pi\)
−0.0179727 + 0.999838i \(0.505721\pi\)
\(774\) −8.99286 + 4.