Properties

Label 441.2.bh.a.41.42
Level $441$
Weight $2$
Character 441.41
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bh (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 41.42
Character \(\chi\) \(=\) 441.41
Dual form 441.2.bh.a.398.42

$q$-expansion

\(f(q)\) \(=\) \(q+(1.52873 + 0.599983i) q^{2} +(1.14417 - 1.30034i) q^{3} +(0.510936 + 0.474079i) q^{4} +(0.0481771 - 0.642879i) q^{5} +(2.52930 - 1.30139i) q^{6} +(1.24367 + 2.33523i) q^{7} +(-0.928450 - 1.92795i) q^{8} +(-0.381764 - 2.97561i) q^{9} +O(q^{10})\) \(q+(1.52873 + 0.599983i) q^{2} +(1.14417 - 1.30034i) q^{3} +(0.510936 + 0.474079i) q^{4} +(0.0481771 - 0.642879i) q^{5} +(2.52930 - 1.30139i) q^{6} +(1.24367 + 2.33523i) q^{7} +(-0.928450 - 1.92795i) q^{8} +(-0.381764 - 2.97561i) q^{9} +(0.459366 - 0.953884i) q^{10} +(2.85570 + 1.12078i) q^{11} +(1.20106 - 0.121964i) q^{12} +(-0.424627 - 2.81722i) q^{13} +(0.500141 + 4.31611i) q^{14} +(-0.780838 - 0.798208i) q^{15} +(-0.366789 - 4.89447i) q^{16} +(0.255080 + 1.11758i) q^{17} +(1.20170 - 4.77796i) q^{18} +2.78250i q^{19} +(0.329391 - 0.305630i) q^{20} +(4.45955 + 1.05470i) q^{21} +(3.69315 + 3.42674i) q^{22} +(-5.92497 + 6.38559i) q^{23} +(-3.56929 - 0.998593i) q^{24} +(4.53318 + 0.683267i) q^{25} +(1.04114 - 4.56154i) q^{26} +(-4.30610 - 2.90817i) q^{27} +(-0.471647 + 1.78275i) q^{28} +(-0.853937 - 0.920325i) q^{29} +(-0.714781 - 1.68873i) q^{30} +(-4.77494 - 2.75681i) q^{31} +(1.11440 - 3.61281i) q^{32} +(4.72480 - 2.43102i) q^{33} +(-0.280579 + 1.86152i) q^{34} +(1.56119 - 0.687025i) q^{35} +(1.21562 - 1.70133i) q^{36} +(2.37473 + 10.4044i) q^{37} +(-1.66945 + 4.25370i) q^{38} +(-4.14918 - 2.67121i) q^{39} +(-1.28417 + 0.503998i) q^{40} +(0.285247 - 3.80636i) q^{41} +(6.18466 + 4.28800i) q^{42} +(0.109879 + 1.46623i) q^{43} +(0.927742 + 1.92648i) q^{44} +(-1.93135 + 0.102071i) q^{45} +(-12.8889 + 6.20698i) q^{46} +(1.74574 - 4.44807i) q^{47} +(-6.78413 - 5.12314i) q^{48} +(-3.90657 + 5.80850i) q^{49} +(6.52007 + 3.76436i) q^{50} +(1.74509 + 0.947007i) q^{51} +(1.11863 - 1.64072i) q^{52} +(-1.35105 - 0.308368i) q^{53} +(-4.83802 - 7.02940i) q^{54} +(0.858106 - 1.78188i) q^{55} +(3.34751 - 4.56587i) q^{56} +(3.61820 + 3.18365i) q^{57} +(-0.753260 - 1.91928i) q^{58} +(-7.97062 + 5.43427i) q^{59} +(-0.0205446 - 0.778012i) q^{60} +(2.11544 + 2.27990i) q^{61} +(-5.64555 - 7.07930i) q^{62} +(6.47394 - 4.59218i) q^{63} +(-2.24917 + 2.82037i) q^{64} +(-1.83159 + 0.137258i) q^{65} +(8.68151 - 0.881582i) q^{66} +(-2.45560 + 4.25322i) q^{67} +(-0.399492 + 0.691940i) q^{68} +(1.52429 + 15.0107i) q^{69} +(2.79884 - 0.113592i) q^{70} +(-6.56623 - 1.49870i) q^{71} +(-5.38237 + 3.49873i) q^{72} +(-0.705605 - 0.562701i) q^{73} +(-2.61212 + 17.3303i) q^{74} +(6.07520 - 5.11290i) q^{75} +(-1.31913 + 1.42168i) q^{76} +(0.934275 + 8.06260i) q^{77} +(-4.74030 - 6.57299i) q^{78} +(6.63674 + 11.4952i) q^{79} -3.16422 q^{80} +(-8.70851 + 2.27196i) q^{81} +(2.71981 - 5.64775i) q^{82} +(-5.86303 - 0.883709i) q^{83} +(1.77854 + 2.65306i) q^{84} +(0.730758 - 0.110144i) q^{85} +(-0.711740 + 2.30740i) q^{86} +(-2.17378 + 0.0574019i) q^{87} +(-0.490572 - 6.54623i) q^{88} +(4.79110 - 6.00784i) q^{89} +(-3.01376 - 1.00274i) q^{90} +(6.05074 - 4.49529i) q^{91} +(-6.05456 + 0.453726i) q^{92} +(-9.04811 + 3.05478i) q^{93} +(5.33754 - 5.75249i) q^{94} +(1.78881 + 0.134053i) q^{95} +(-3.42281 - 5.58276i) q^{96} +(11.1315 - 6.42677i) q^{97} +(-9.45710 + 6.53577i) q^{98} +(2.24480 - 8.92533i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 15q^{2} - 14q^{3} - 57q^{4} - 21q^{5} + 14q^{6} - 5q^{7} - 20q^{9} + O(q^{10}) \) \( 648q - 15q^{2} - 14q^{3} - 57q^{4} - 21q^{5} + 14q^{6} - 5q^{7} - 20q^{9} - 28q^{10} - 15q^{11} + 21q^{12} - 7q^{13} - 114q^{14} - 10q^{15} + 39q^{16} - 18q^{18} - 21q^{20} + 10q^{21} + 3q^{22} + 30q^{23} - 14q^{24} + 41q^{25} + 7q^{27} - 20q^{28} + 75q^{29} - 70q^{30} - 39q^{32} - 14q^{33} - 7q^{34} - 128q^{36} - 10q^{37} + 21q^{38} - 36q^{39} - 7q^{40} - 21q^{41} + 104q^{42} + 3q^{43} - 35q^{45} - 72q^{46} - 147q^{47} - 13q^{49} - 18q^{50} + 22q^{51} - 35q^{52} - 14q^{54} - 112q^{55} - 63q^{56} - 16q^{57} + 33q^{58} - 21q^{59} - 90q^{60} - 56q^{61} - 38q^{63} + 52q^{64} + 27q^{65} - 42q^{66} - 26q^{67} - 182q^{69} - 25q^{70} + 24q^{72} - 28q^{73} + 33q^{74} - 14q^{75} + 21q^{76} + 3q^{77} + 90q^{78} - 2q^{79} + 56q^{81} - 28q^{82} - 21q^{83} + 116q^{84} + 5q^{85} - 123q^{86} - 70q^{87} - 41q^{88} - 224q^{90} - 4q^{91} - 225q^{92} + 112q^{93} - 7q^{94} - 12q^{95} - 371q^{96} + 224q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.52873 + 0.599983i 1.08098 + 0.424252i 0.837938 0.545765i \(-0.183761\pi\)
0.243038 + 0.970017i \(0.421856\pi\)
\(3\) 1.14417 1.30034i 0.660585 0.750751i
\(4\) 0.510936 + 0.474079i 0.255468 + 0.237040i
\(5\) 0.0481771 0.642879i 0.0215455 0.287504i −0.976015 0.217702i \(-0.930144\pi\)
0.997561 0.0698026i \(-0.0222369\pi\)
\(6\) 2.52930 1.30139i 1.03258 0.531290i
\(7\) 1.24367 + 2.33523i 0.470063 + 0.882633i
\(8\) −0.928450 1.92795i −0.328257 0.681632i
\(9\) −0.381764 2.97561i −0.127255 0.991870i
\(10\) 0.459366 0.953884i 0.145264 0.301645i
\(11\) 2.85570 + 1.12078i 0.861027 + 0.337928i 0.754435 0.656375i \(-0.227911\pi\)
0.106592 + 0.994303i \(0.466006\pi\)
\(12\) 1.20106 0.121964i 0.346716 0.0352080i
\(13\) −0.424627 2.81722i −0.117770 0.781355i −0.967267 0.253761i \(-0.918332\pi\)
0.849497 0.527594i \(-0.176906\pi\)
\(14\) 0.500141 + 4.31611i 0.133668 + 1.15353i
\(15\) −0.780838 0.798208i −0.201612 0.206096i
\(16\) −0.366789 4.89447i −0.0916974 1.22362i
\(17\) 0.255080 + 1.11758i 0.0618660 + 0.271053i 0.996395 0.0848340i \(-0.0270360\pi\)
−0.934529 + 0.355887i \(0.884179\pi\)
\(18\) 1.20170 4.77796i 0.283244 1.12618i
\(19\) 2.78250i 0.638350i 0.947696 + 0.319175i \(0.103406\pi\)
−0.947696 + 0.319175i \(0.896594\pi\)
\(20\) 0.329391 0.305630i 0.0736541 0.0683410i
\(21\) 4.45955 + 1.05470i 0.973154 + 0.230154i
\(22\) 3.69315 + 3.42674i 0.787383 + 0.730584i
\(23\) −5.92497 + 6.38559i −1.23544 + 1.33149i −0.310882 + 0.950448i \(0.600624\pi\)
−0.924559 + 0.381040i \(0.875566\pi\)
\(24\) −3.56929 0.998593i −0.728578 0.203837i
\(25\) 4.53318 + 0.683267i 0.906636 + 0.136653i
\(26\) 1.04114 4.56154i 0.204184 0.894591i
\(27\) −4.30610 2.90817i −0.828710 0.559678i
\(28\) −0.471647 + 1.78275i −0.0891329 + 0.336908i
\(29\) −0.853937 0.920325i −0.158572 0.170900i 0.648768 0.760986i \(-0.275284\pi\)
−0.807341 + 0.590086i \(0.799094\pi\)
\(30\) −0.714781 1.68873i −0.130501 0.308319i
\(31\) −4.77494 2.75681i −0.857604 0.495138i 0.00560541 0.999984i \(-0.498216\pi\)
−0.863209 + 0.504847i \(0.831549\pi\)
\(32\) 1.11440 3.61281i 0.197000 0.638660i
\(33\) 4.72480 2.43102i 0.822481 0.423187i
\(34\) −0.280579 + 1.86152i −0.0481190 + 0.319248i
\(35\) 1.56119 0.687025i 0.263888 0.116128i
\(36\) 1.21562 1.70133i 0.202603 0.283555i
\(37\) 2.37473 + 10.4044i 0.390403 + 1.71047i 0.663239 + 0.748408i \(0.269181\pi\)
−0.272836 + 0.962061i \(0.587962\pi\)
\(38\) −1.66945 + 4.25370i −0.270821 + 0.690041i
\(39\) −4.14918 2.67121i −0.664401 0.427735i
\(40\) −1.28417 + 0.503998i −0.203045 + 0.0796892i
\(41\) 0.285247 3.80636i 0.0445481 0.594453i −0.929604 0.368560i \(-0.879851\pi\)
0.974152 0.225893i \(-0.0725300\pi\)
\(42\) 6.18466 + 4.28800i 0.954313 + 0.661653i
\(43\) 0.109879 + 1.46623i 0.0167564 + 0.223599i 0.999295 + 0.0375404i \(0.0119523\pi\)
−0.982539 + 0.186058i \(0.940429\pi\)
\(44\) 0.927742 + 1.92648i 0.139862 + 0.290427i
\(45\) −1.93135 + 0.102071i −0.287909 + 0.0152159i
\(46\) −12.8889 + 6.20698i −1.90037 + 0.915169i
\(47\) 1.74574 4.44807i 0.254642 0.648818i −0.745195 0.666847i \(-0.767644\pi\)
0.999837 + 0.0180283i \(0.00573890\pi\)
\(48\) −6.78413 5.12314i −0.979205 0.739461i
\(49\) −3.90657 + 5.80850i −0.558081 + 0.829786i
\(50\) 6.52007 + 3.76436i 0.922077 + 0.532361i
\(51\) 1.74509 + 0.947007i 0.244361 + 0.132607i
\(52\) 1.11863 1.64072i 0.155126 0.227527i
\(53\) −1.35105 0.308368i −0.185581 0.0423576i 0.128720 0.991681i \(-0.458913\pi\)
−0.314301 + 0.949323i \(0.601770\pi\)
\(54\) −4.83802 7.02940i −0.658371 0.956581i
\(55\) 0.858106 1.78188i 0.115707 0.240268i
\(56\) 3.34751 4.56587i 0.447330 0.610140i
\(57\) 3.61820 + 3.18365i 0.479242 + 0.421685i
\(58\) −0.753260 1.91928i −0.0989079 0.252013i
\(59\) −7.97062 + 5.43427i −1.03769 + 0.707482i −0.957245 0.289277i \(-0.906585\pi\)
−0.0804404 + 0.996759i \(0.525633\pi\)
\(60\) −0.0205446 0.778012i −0.00265229 0.100441i
\(61\) 2.11544 + 2.27990i 0.270854 + 0.291911i 0.853802 0.520598i \(-0.174291\pi\)
−0.582947 + 0.812510i \(0.698101\pi\)
\(62\) −5.64555 7.07930i −0.716986 0.899072i
\(63\) 6.47394 4.59218i 0.815639 0.578561i
\(64\) −2.24917 + 2.82037i −0.281146 + 0.352546i
\(65\) −1.83159 + 0.137258i −0.227180 + 0.0170248i
\(66\) 8.68151 0.881582i 1.06862 0.108515i
\(67\) −2.45560 + 4.25322i −0.299999 + 0.519614i −0.976135 0.217163i \(-0.930320\pi\)
0.676136 + 0.736777i \(0.263653\pi\)
\(68\) −0.399492 + 0.691940i −0.0484455 + 0.0839100i
\(69\) 1.52429 + 15.0107i 0.183503 + 1.80707i
\(70\) 2.79884 0.113592i 0.334525 0.0135769i
\(71\) −6.56623 1.49870i −0.779269 0.177863i −0.185657 0.982615i \(-0.559441\pi\)
−0.593612 + 0.804752i \(0.702298\pi\)
\(72\) −5.38237 + 3.49873i −0.634318 + 0.412329i
\(73\) −0.705605 0.562701i −0.0825848 0.0658592i 0.581327 0.813670i \(-0.302534\pi\)
−0.663912 + 0.747811i \(0.731105\pi\)
\(74\) −2.61212 + 17.3303i −0.303653 + 2.01460i
\(75\) 6.07520 5.11290i 0.701503 0.590387i
\(76\) −1.31913 + 1.42168i −0.151314 + 0.163078i
\(77\) 0.934275 + 8.06260i 0.106471 + 0.918818i
\(78\) −4.74030 6.57299i −0.536734 0.744245i
\(79\) 6.63674 + 11.4952i 0.746691 + 1.29331i 0.949400 + 0.314068i \(0.101692\pi\)
−0.202709 + 0.979239i \(0.564975\pi\)
\(80\) −3.16422 −0.353771
\(81\) −8.70851 + 2.27196i −0.967613 + 0.252440i
\(82\) 2.71981 5.64775i 0.300353 0.623690i
\(83\) −5.86303 0.883709i −0.643551 0.0969997i −0.180845 0.983512i \(-0.557883\pi\)
−0.462706 + 0.886512i \(0.653121\pi\)
\(84\) 1.77854 + 2.65306i 0.194054 + 0.289473i
\(85\) 0.730758 0.110144i 0.0792618 0.0119468i
\(86\) −0.711740 + 2.30740i −0.0767489 + 0.248814i
\(87\) −2.17378 + 0.0574019i −0.233054 + 0.00615413i
\(88\) −0.490572 6.54623i −0.0522952 0.697831i
\(89\) 4.79110 6.00784i 0.507855 0.636830i −0.460126 0.887854i \(-0.652196\pi\)
0.967981 + 0.251023i \(0.0807671\pi\)
\(90\) −3.01376 1.00274i −0.317678 0.105698i
\(91\) 6.05074 4.49529i 0.634290 0.471234i
\(92\) −6.05456 + 0.453726i −0.631231 + 0.0473042i
\(93\) −9.04811 + 3.05478i −0.938245 + 0.316766i
\(94\) 5.33754 5.75249i 0.550525 0.593325i
\(95\) 1.78881 + 0.134053i 0.183528 + 0.0137536i
\(96\) −3.42281 5.58276i −0.349339 0.569788i
\(97\) 11.1315 6.42677i 1.13023 0.652539i 0.186238 0.982505i \(-0.440370\pi\)
0.943993 + 0.329965i \(0.107037\pi\)
\(98\) −9.45710 + 6.53577i −0.955311 + 0.660212i
\(99\) 2.24480 8.92533i 0.225611 0.897030i
\(100\) 1.99224 + 2.49819i 0.199224 + 0.249819i
\(101\) −12.5736 8.57256i −1.25112 0.853002i −0.257559 0.966263i \(-0.582918\pi\)
−0.993565 + 0.113261i \(0.963870\pi\)
\(102\) 2.09958 + 2.49474i 0.207889 + 0.247016i
\(103\) 13.9860 + 1.04810i 1.37808 + 0.103273i 0.743060 0.669225i \(-0.233374\pi\)
0.635018 + 0.772498i \(0.280993\pi\)
\(104\) −5.03720 + 3.43430i −0.493938 + 0.336761i
\(105\) 0.892891 2.81614i 0.0871373 0.274827i
\(106\) −1.88038 1.28202i −0.182638 0.124521i
\(107\) −5.83450 4.65286i −0.564043 0.449809i 0.299492 0.954099i \(-0.403183\pi\)
−0.863534 + 0.504290i \(0.831754\pi\)
\(108\) −0.821439 3.52732i −0.0790430 0.339417i
\(109\) −6.76887 8.48790i −0.648341 0.812993i 0.343678 0.939088i \(-0.388327\pi\)
−0.992018 + 0.126094i \(0.959756\pi\)
\(110\) 2.38091 2.20916i 0.227011 0.210635i
\(111\) 16.2463 + 8.81639i 1.54203 + 0.836814i
\(112\) 10.9735 6.94364i 1.03690 0.656112i
\(113\) 15.7859 6.19550i 1.48501 0.582823i 0.522157 0.852850i \(-0.325128\pi\)
0.962853 + 0.270026i \(0.0870324\pi\)
\(114\) 3.62112 + 7.03780i 0.339149 + 0.659150i
\(115\) 3.81972 + 4.11668i 0.356191 + 0.383882i
\(116\) 0.875061i 0.0812473i
\(117\) −8.22083 + 2.33904i −0.760016 + 0.216244i
\(118\) −15.4454 + 3.52531i −1.42186 + 0.324531i
\(119\) −2.29257 + 1.98557i −0.210159 + 0.182017i
\(120\) −0.813933 + 2.24651i −0.0743016 + 0.205077i
\(121\) −1.16468 1.08067i −0.105880 0.0982425i
\(122\) 1.86604 + 4.75458i 0.168943 + 0.430460i
\(123\) −4.62318 4.72603i −0.416858 0.426131i
\(124\) −1.13274 3.67225i −0.101723 0.329778i
\(125\) 1.37493 6.02396i 0.122977 0.538800i
\(126\) 12.6521 3.13596i 1.12714 0.279374i
\(127\) 1.55697 + 6.82153i 0.138159 + 0.605313i 0.995839 + 0.0911297i \(0.0290478\pi\)
−0.857680 + 0.514183i \(0.828095\pi\)
\(128\) −11.6790 + 6.74290i −1.03229 + 0.595994i
\(129\) 2.03232 + 1.53474i 0.178936 + 0.135126i
\(130\) −2.88236 0.889089i −0.252799 0.0779783i
\(131\) 14.5264 9.90396i 1.26918 0.865313i 0.273844 0.961774i \(-0.411705\pi\)
0.995337 + 0.0964612i \(0.0307524\pi\)
\(132\) 3.56656 + 0.997832i 0.310430 + 0.0868501i
\(133\) −6.49778 + 3.46052i −0.563429 + 0.300065i
\(134\) −6.30581 + 5.02872i −0.544739 + 0.434415i
\(135\) −2.07706 + 2.62820i −0.178765 + 0.226199i
\(136\) 1.91780 1.52940i 0.164450 0.131145i
\(137\) −5.42967 + 0.406898i −0.463888 + 0.0347636i −0.304625 0.952472i \(-0.598531\pi\)
−0.159264 + 0.987236i \(0.550912\pi\)
\(138\) −6.67591 + 23.8618i −0.568291 + 2.03125i
\(139\) 2.38133 + 0.178456i 0.201981 + 0.0151364i 0.175337 0.984509i \(-0.443899\pi\)
0.0266449 + 0.999645i \(0.491518\pi\)
\(140\) 1.12337 + 0.389100i 0.0949421 + 0.0328849i
\(141\) −3.78659 7.35939i −0.318888 0.619773i
\(142\) −9.13881 6.23074i −0.766912 0.522872i
\(143\) 1.94487 8.52105i 0.162638 0.712566i
\(144\) −14.4240 + 2.95995i −1.20200 + 0.246663i
\(145\) −0.632798 + 0.504639i −0.0525510 + 0.0419080i
\(146\) −0.741069 1.28357i −0.0613313 0.106229i
\(147\) 3.08326 + 11.7258i 0.254303 + 0.967125i
\(148\) −3.71916 + 6.44178i −0.305713 + 0.529511i
\(149\) −2.68386 17.8062i −0.219870 1.45874i −0.777620 0.628735i \(-0.783573\pi\)
0.557750 0.830009i \(-0.311665\pi\)
\(150\) 12.3550 4.17124i 1.00878 0.340580i
\(151\) 9.17394 2.82979i 0.746565 0.230285i 0.101947 0.994790i \(-0.467493\pi\)
0.644618 + 0.764505i \(0.277017\pi\)
\(152\) 5.36452 2.58342i 0.435120 0.209543i
\(153\) 3.22810 1.18567i 0.260976 0.0958558i
\(154\) −3.40916 + 12.8861i −0.274718 + 1.03839i
\(155\) −2.00234 + 2.93689i −0.160832 + 0.235897i
\(156\) −0.853602 3.33186i −0.0683428 0.266762i
\(157\) −11.7625 17.2524i −0.938748 1.37689i −0.926226 0.376968i \(-0.876967\pi\)
−0.0125213 0.999922i \(-0.503986\pi\)
\(158\) 3.24888 + 21.5549i 0.258467 + 1.71482i
\(159\) −1.94681 + 1.40400i −0.154392 + 0.111344i
\(160\) −2.26891 0.890481i −0.179373 0.0703987i
\(161\) −22.2805 5.89457i −1.75595 0.464557i
\(162\) −14.6761 1.75174i −1.15306 0.137630i
\(163\) 15.8504 + 7.63314i 1.24150 + 0.597873i 0.935219 0.354069i \(-0.115202\pi\)
0.306277 + 0.951942i \(0.400916\pi\)
\(164\) 1.95026 1.80957i 0.152290 0.141304i
\(165\) −1.33523 3.15459i −0.103947 0.245585i
\(166\) −8.43278 4.86867i −0.654511 0.377882i
\(167\) −12.7855 3.94381i −0.989374 0.305181i −0.242503 0.970151i \(-0.577968\pi\)
−0.746871 + 0.664969i \(0.768445\pi\)
\(168\) −2.10707 9.57702i −0.162564 0.738883i
\(169\) 4.66605 1.43928i 0.358927 0.110714i
\(170\) 1.18322 + 0.270061i 0.0907486 + 0.0207128i
\(171\) 8.27965 1.06226i 0.633160 0.0812329i
\(172\) −0.638970 + 0.801243i −0.0487210 + 0.0610942i
\(173\) −0.429415 + 0.132457i −0.0326478 + 0.0100705i −0.311036 0.950398i \(-0.600676\pi\)
0.278388 + 0.960469i \(0.410200\pi\)
\(174\) −3.35757 1.21648i −0.254536 0.0922210i
\(175\) 4.04220 + 11.4358i 0.305561 + 0.864463i
\(176\) 4.43818 14.3882i 0.334540 1.08455i
\(177\) −2.05332 + 16.5822i −0.154337 + 1.24640i
\(178\) 10.9289 6.30980i 0.819156 0.472940i
\(179\) 7.21493 1.64676i 0.539269 0.123085i 0.0557932 0.998442i \(-0.482231\pi\)
0.483476 + 0.875358i \(0.339374\pi\)
\(180\) −1.03519 0.863461i −0.0771582 0.0643586i
\(181\) 4.57595 + 3.64920i 0.340127 + 0.271243i 0.778625 0.627490i \(-0.215918\pi\)
−0.438497 + 0.898733i \(0.644489\pi\)
\(182\) 11.9471 3.24175i 0.885575 0.240294i
\(183\) 5.38506 0.142200i 0.398075 0.0105118i
\(184\) 17.8121 + 5.49431i 1.31313 + 0.405046i
\(185\) 6.80316 1.02541i 0.500178 0.0753898i
\(186\) −15.6649 0.758768i −1.14861 0.0556356i
\(187\) −0.524128 + 3.47736i −0.0383280 + 0.254290i
\(188\) 3.00070 1.44506i 0.218849 0.105392i
\(189\) 1.43587 13.6725i 0.104444 0.994531i
\(190\) 2.65419 + 1.27819i 0.192555 + 0.0927295i
\(191\) −14.0114 + 20.5509i −1.01383 + 1.48701i −0.146541 + 0.989205i \(0.546814\pi\)
−0.867287 + 0.497808i \(0.834138\pi\)
\(192\) 1.09401 + 6.15165i 0.0789534 + 0.443957i
\(193\) −0.0725428 + 0.968016i −0.00522174 + 0.0696793i −0.999206 0.0398448i \(-0.987314\pi\)
0.993984 + 0.109524i \(0.0349327\pi\)
\(194\) 20.8730 3.14610i 1.49859 0.225877i
\(195\) −1.91716 + 2.53873i −0.137291 + 0.181802i
\(196\) −4.74970 + 1.11575i −0.339264 + 0.0796964i
\(197\) 9.89619i 0.705075i 0.935798 + 0.352537i \(0.114681\pi\)
−0.935798 + 0.352537i \(0.885319\pi\)
\(198\) 8.78675 12.2976i 0.624447 0.873952i
\(199\) −11.0687 22.9844i −0.784638 1.62932i −0.777125 0.629346i \(-0.783323\pi\)
−0.00751350 0.999972i \(-0.502392\pi\)
\(200\) −2.89153 9.37411i −0.204462 0.662850i
\(201\) 2.72102 + 8.05951i 0.191926 + 0.568474i
\(202\) −14.0783 20.6491i −0.990547 1.45287i
\(203\) 1.08715 3.13872i 0.0763031 0.220295i
\(204\) 0.442671 + 1.31117i 0.0309932 + 0.0918002i
\(205\) −2.43329 0.366759i −0.169948 0.0256155i
\(206\) 20.7519 + 9.99360i 1.44586 + 0.696287i
\(207\) 21.2630 + 15.1926i 1.47788 + 1.05596i
\(208\) −13.6330 + 3.11165i −0.945280 + 0.215754i
\(209\) −3.11858 + 7.94600i −0.215716 + 0.549636i
\(210\) 3.05463 3.76940i 0.210789 0.260114i
\(211\) −1.48074 3.77286i −0.101938 0.259734i 0.870801 0.491635i \(-0.163601\pi\)
−0.972739 + 0.231901i \(0.925505\pi\)
\(212\) −0.544109 0.798061i −0.0373695 0.0548110i
\(213\) −9.46169 + 6.82357i −0.648304 + 0.467543i
\(214\) −6.12775 10.6136i −0.418884 0.725529i
\(215\) 0.947905 0.0646466
\(216\) −1.60880 + 11.0020i −0.109465 + 0.748594i
\(217\) 0.499333 14.5791i 0.0338969 0.989695i
\(218\) −5.25520 17.0369i −0.355927 1.15389i
\(219\) −1.53903 + 0.273701i −0.103998 + 0.0184950i
\(220\) 1.28319 0.503614i 0.0865125 0.0339537i
\(221\) 3.04015 1.19317i 0.204503 0.0802613i
\(222\) 19.5465 + 23.2254i 1.31188 + 1.55879i
\(223\) −3.71233 12.0351i −0.248596 0.805929i −0.990750 0.135700i \(-0.956672\pi\)
0.742154 0.670230i \(-0.233804\pi\)
\(224\) 9.82267 1.89076i 0.656305 0.126331i
\(225\) 0.302533 13.7498i 0.0201689 0.916655i
\(226\) 27.8495 1.85252
\(227\) 9.20020 + 15.9352i 0.610639 + 1.05766i 0.991133 + 0.132874i \(0.0424205\pi\)
−0.380494 + 0.924783i \(0.624246\pi\)
\(228\) 0.339366 + 3.34195i 0.0224750 + 0.221326i
\(229\) 12.0971 + 17.7432i 0.799398 + 1.17250i 0.981919 + 0.189300i \(0.0606218\pi\)
−0.182521 + 0.983202i \(0.558426\pi\)
\(230\) 3.36939 + 8.58506i 0.222171 + 0.566082i
\(231\) 11.5531 + 8.01008i 0.760136 + 0.527025i
\(232\) −0.981500 + 2.50082i −0.0644386 + 0.164187i
\(233\) 10.7990 2.46481i 0.707469 0.161475i 0.146377 0.989229i \(-0.453239\pi\)
0.561092 + 0.827754i \(0.310382\pi\)
\(234\) −13.9708 1.35660i −0.913301 0.0886838i
\(235\) −2.77547 1.33660i −0.181052 0.0871899i
\(236\) −6.64875 1.00214i −0.432797 0.0652336i
\(237\) 22.5411 + 4.52238i 1.46420 + 0.293760i
\(238\) −4.69602 + 1.65990i −0.304398 + 0.107596i
\(239\) −7.73198 11.3407i −0.500140 0.733571i 0.490294 0.871557i \(-0.336889\pi\)
−0.990434 + 0.137986i \(0.955937\pi\)
\(240\) −3.62040 + 4.11456i −0.233696 + 0.265594i
\(241\) 6.09683 + 19.7654i 0.392731 + 1.27320i 0.909007 + 0.416781i \(0.136842\pi\)
−0.516276 + 0.856422i \(0.672682\pi\)
\(242\) −1.13210 2.35084i −0.0727744 0.151118i
\(243\) −7.00968 + 13.9235i −0.449671 + 0.893194i
\(244\) 2.16777i 0.138777i
\(245\) 3.54596 + 2.79129i 0.226543 + 0.178329i
\(246\) −4.23207 9.99865i −0.269827 0.637491i
\(247\) 7.83891 1.18153i 0.498778 0.0751787i
\(248\) −0.881694 + 11.7654i −0.0559876 + 0.747103i
\(249\) −7.85741 + 6.61281i −0.497943 + 0.419070i
\(250\) 5.71617 8.38408i 0.361522 0.530256i
\(251\) 5.06089 + 2.43720i 0.319441 + 0.153834i 0.586732 0.809781i \(-0.300414\pi\)
−0.267291 + 0.963616i \(0.586129\pi\)
\(252\) 5.48483 + 0.722848i 0.345512 + 0.0455352i
\(253\) −24.0768 + 11.5948i −1.51369 + 0.728957i
\(254\) −1.71261 + 11.3624i −0.107459 + 0.712943i
\(255\) 0.692884 1.07626i 0.0433901 0.0673977i
\(256\) −14.7655 + 2.22555i −0.922847 + 0.139097i
\(257\) −13.6245 4.20261i −0.849875 0.262152i −0.160930 0.986966i \(-0.551449\pi\)
−0.688944 + 0.724814i \(0.741926\pi\)
\(258\) 2.18606 + 3.56556i 0.136098 + 0.221982i
\(259\) −21.3432 + 18.4851i −1.32620 + 1.14861i
\(260\) −1.00090 0.798187i −0.0620729 0.0495015i
\(261\) −2.41253 + 2.89233i −0.149332 + 0.179031i
\(262\) 28.1492 6.42488i 1.73906 0.396930i
\(263\) 25.1439 14.5168i 1.55044 0.895146i 0.552333 0.833624i \(-0.313738\pi\)
0.998106 0.0615222i \(-0.0195955\pi\)
\(264\) −9.07362 6.85207i −0.558443 0.421716i
\(265\) −0.263333 + 0.853705i −0.0161764 + 0.0524427i
\(266\) −12.0096 + 1.39165i −0.736356 + 0.0853272i
\(267\) −2.33042 13.1040i −0.142619 0.801953i
\(268\) −3.27102 + 1.00898i −0.199809 + 0.0616330i
\(269\) 1.86936 2.34410i 0.113977 0.142923i −0.721570 0.692341i \(-0.756579\pi\)
0.835547 + 0.549419i \(0.185151\pi\)
\(270\) −4.75214 + 2.77161i −0.289206 + 0.168675i
\(271\) 16.1036 + 3.67555i 0.978227 + 0.223274i 0.681604 0.731721i \(-0.261283\pi\)
0.296622 + 0.954995i \(0.404140\pi\)
\(272\) 5.37639 1.65840i 0.325992 0.100555i
\(273\) 1.07766 13.0114i 0.0652231 0.787484i
\(274\) −8.54464 2.63567i −0.516201 0.159227i
\(275\) 12.1796 + 7.03191i 0.734459 + 0.424040i
\(276\) −6.33743 + 8.39211i −0.381468 + 0.505146i
\(277\) −8.07754 + 7.49486i −0.485332 + 0.450323i −0.884490 0.466560i \(-0.845493\pi\)
0.399157 + 0.916882i \(0.369303\pi\)
\(278\) 3.53334 + 1.70157i 0.211916 + 0.102053i
\(279\) −6.38030 + 15.2608i −0.381978 + 0.913640i
\(280\) −2.77403 2.37201i −0.165780 0.141755i
\(281\) −6.33448 2.48610i −0.377884 0.148308i 0.168794 0.985651i \(-0.446013\pi\)
−0.546678 + 0.837343i \(0.684108\pi\)
\(282\) −1.37316 13.5224i −0.0817706 0.805248i
\(283\) −4.55792 30.2399i −0.270941 1.79757i −0.547744 0.836646i \(-0.684513\pi\)
0.276803 0.960927i \(-0.410725\pi\)
\(284\) −2.64442 3.87866i −0.156918 0.230156i
\(285\) 2.22102 2.17269i 0.131562 0.128699i
\(286\) 8.08567 11.8595i 0.478116 0.701267i
\(287\) 9.24346 4.06774i 0.545624 0.240111i
\(288\) −11.1757 1.93679i −0.658537 0.114127i
\(289\) 14.1326 6.80588i 0.831327 0.400346i
\(290\) −1.27015 + 0.391790i −0.0745859 + 0.0230067i
\(291\) 4.37930 21.8280i 0.256719 1.27958i
\(292\) −0.0937539 0.622017i −0.00548653 0.0364008i
\(293\) 0.743927 1.28852i 0.0434607 0.0752762i −0.843477 0.537166i \(-0.819495\pi\)
0.886937 + 0.461889i \(0.152828\pi\)
\(294\) −2.32178 + 19.7754i −0.135409 + 1.15333i
\(295\) 3.10958 + 5.38595i 0.181047 + 0.313582i
\(296\) 17.8543 14.2383i 1.03776 0.827584i
\(297\) −9.03753 13.1311i −0.524411 0.761942i
\(298\) 6.58054 28.8312i 0.381200 1.67015i
\(299\) 20.5055 + 13.9804i 1.18586 + 0.808508i
\(300\) 5.52796 + 0.267759i 0.319157 + 0.0154591i
\(301\) −3.28734 + 2.08010i −0.189479 + 0.119895i
\(302\) 15.7223 + 1.17822i 0.904718 + 0.0677992i
\(303\) −25.5336 + 6.54155i −1.46687 + 0.375802i
\(304\) 13.6189 1.02059i 0.781096 0.0585350i
\(305\) 1.56762 1.25013i 0.0897615 0.0715824i
\(306\) 5.64628 + 0.124233i 0.322776 + 0.00710195i
\(307\) −18.1139 + 14.4453i −1.03381 + 0.824439i −0.984683 0.174353i \(-0.944217\pi\)
−0.0491310 + 0.998792i \(0.515645\pi\)
\(308\) −3.34495 + 4.56239i −0.190596 + 0.259966i
\(309\) 17.3652 16.9873i 0.987870 0.966373i
\(310\) −4.82312 + 3.28835i −0.273935 + 0.186766i
\(311\) 2.63709 + 0.813436i 0.149536 + 0.0461257i 0.368619 0.929580i \(-0.379831\pi\)
−0.219084 + 0.975706i \(0.570307\pi\)
\(312\) −1.29764 + 10.4795i −0.0734642 + 0.593284i
\(313\) −22.8582 + 13.1972i −1.29202 + 0.745948i −0.979012 0.203803i \(-0.934670\pi\)
−0.313008 + 0.949751i \(0.601337\pi\)
\(314\) −7.63053 33.4315i −0.430616 1.88665i
\(315\) −2.64032 4.38320i −0.148765 0.246965i
\(316\) −2.05867 + 9.01963i −0.115809 + 0.507394i
\(317\) −6.97120 22.6001i −0.391541 1.26935i −0.910130 0.414322i \(-0.864019\pi\)
0.518589 0.855024i \(-0.326458\pi\)
\(318\) −3.81852 + 0.978283i −0.214132 + 0.0548594i
\(319\) −1.40711 3.58525i −0.0787829 0.200735i
\(320\) 1.70480 + 1.58182i 0.0953011 + 0.0884265i
\(321\) −12.7259 + 2.26318i −0.710293 + 0.126318i
\(322\) −30.5243 22.3791i −1.70105 1.24714i
\(323\) −3.10967 + 0.709761i −0.173027 + 0.0394922i
\(324\) −5.52658 2.96770i −0.307032 0.164872i
\(325\) 13.0611i 0.724499i
\(326\) 19.6512 + 21.1790i 1.08838 + 1.17299i
\(327\) −18.7819 0.909743i −1.03864 0.0503089i
\(328\) −7.60329 + 2.98407i −0.419822 + 0.164768i
\(329\) 12.5584 1.45524i 0.692366 0.0802298i
\(330\) −0.148500 5.62364i −0.00817468 0.309571i
\(331\) 6.34929 5.89128i 0.348988 0.323814i −0.486127 0.873888i \(-0.661591\pi\)
0.835116 + 0.550074i \(0.185400\pi\)
\(332\) −2.57668 3.23106i −0.141414 0.177327i
\(333\) 30.0528 11.0383i 1.64688 0.604894i
\(334\) −17.1794 13.7001i −0.940016 0.749638i
\(335\) 2.61601 + 1.78356i 0.142928 + 0.0974464i
\(336\) 3.52646 22.2140i 0.192384 1.21187i
\(337\) 1.30790 0.891711i 0.0712459 0.0485746i −0.527173 0.849758i \(-0.676748\pi\)
0.598419 + 0.801183i \(0.295796\pi\)
\(338\) 7.99668 + 0.599268i 0.434962 + 0.0325959i
\(339\) 10.0054 27.6157i 0.543420 1.49988i
\(340\) 0.425587 + 0.290160i 0.0230807 + 0.0157362i
\(341\) −10.5460 13.2243i −0.571099 0.716135i
\(342\) 13.2947 + 3.34374i 0.718894 + 0.180809i
\(343\) −18.4227 1.89886i −0.994730 0.102529i
\(344\) 2.72481 1.57317i 0.146912 0.0848195i
\(345\) 9.72347 0.256763i 0.523494 0.0138236i
\(346\) −0.735932 0.0551505i −0.0395639 0.00296491i
\(347\) 3.03003 3.26559i 0.162660 0.175306i −0.646462 0.762946i \(-0.723752\pi\)
0.809123 + 0.587640i \(0.199943\pi\)
\(348\) −1.13788 1.00122i −0.0609965 0.0536708i
\(349\) −22.3017 + 1.67128i −1.19378 + 0.0894617i −0.656756 0.754103i \(-0.728072\pi\)
−0.537028 + 0.843565i \(0.680453\pi\)
\(350\) −0.681828 + 19.9075i −0.0364452 + 1.06410i
\(351\) −6.36447 + 13.3661i −0.339710 + 0.713430i
\(352\) 7.23157 9.06810i 0.385444 0.483331i
\(353\) 0.125992 + 1.68124i 0.00670586 + 0.0894835i 0.999553 0.0299131i \(-0.00952306\pi\)
−0.992847 + 0.119397i \(0.961904\pi\)
\(354\) −13.0880 + 24.1178i −0.695620 + 1.28185i
\(355\) −1.27983 + 4.14909i −0.0679261 + 0.220211i
\(356\) 5.29614 0.798264i 0.280695 0.0423079i
\(357\) −0.0411636 + 5.25294i −0.00217861 + 0.278015i
\(358\) 12.0177 + 1.81138i 0.635156 + 0.0957344i
\(359\) −10.1194 + 21.0131i −0.534080 + 1.10903i 0.443071 + 0.896486i \(0.353889\pi\)
−0.977152 + 0.212543i \(0.931825\pi\)
\(360\) 1.98995 + 3.62877i 0.104880 + 0.191253i
\(361\) 11.2577 0.592509
\(362\) 4.80594 + 8.32413i 0.252594 + 0.437507i
\(363\) −2.73783 + 0.278018i −0.143699 + 0.0145922i
\(364\) 5.22267 + 0.571728i 0.273742 + 0.0299667i
\(365\) −0.395743 + 0.426509i −0.0207141 + 0.0223245i
\(366\) 8.31763 + 3.01356i 0.434769 + 0.157521i
\(367\) −2.02816 + 13.4560i −0.105869 + 0.702396i 0.871428 + 0.490523i \(0.163194\pi\)
−0.977297 + 0.211873i \(0.932044\pi\)
\(368\) 33.4273 + 26.6574i 1.74252 + 1.38961i
\(369\) −11.4351 + 0.604344i −0.595289 + 0.0314609i
\(370\) 11.0154 + 2.51420i 0.572665 + 0.130707i
\(371\) −0.960150 3.53852i −0.0498485 0.183711i
\(372\) −6.07121 2.72872i −0.314778 0.141478i
\(373\) −6.55224 + 11.3488i −0.339262 + 0.587619i −0.984294 0.176536i \(-0.943511\pi\)
0.645032 + 0.764156i \(0.276844\pi\)
\(374\) −2.88761 + 5.00149i −0.149315 + 0.258621i
\(375\) −6.26004 8.68029i −0.323267 0.448248i
\(376\) −10.1965 + 0.764121i −0.525843 + 0.0394065i
\(377\) −2.23015 + 2.79652i −0.114859 + 0.144028i
\(378\) 10.3983 20.0401i 0.534833 1.03075i
\(379\) 6.53491 + 8.19452i 0.335676 + 0.420924i 0.920809 0.390013i \(-0.127529\pi\)
−0.585134 + 0.810937i \(0.698958\pi\)
\(380\) 0.850417 + 0.916532i 0.0436255 + 0.0470171i
\(381\) 10.6517 + 5.78038i 0.545705 + 0.296138i
\(382\) −33.7498 + 23.0103i −1.72679 + 1.17731i
\(383\) 7.50025 + 19.1103i 0.383245 + 0.976492i 0.984176 + 0.177191i \(0.0567012\pi\)
−0.600932 + 0.799300i \(0.705204\pi\)
\(384\) −4.59472 + 22.9017i −0.234473 + 1.16870i
\(385\) 5.22829 0.212193i 0.266458 0.0108144i
\(386\) −0.691691 + 1.43631i −0.0352062 + 0.0731063i
\(387\) 4.32099 0.886712i 0.219648 0.0450741i
\(388\) 8.73428 + 1.99354i 0.443416 + 0.101207i
\(389\) −6.91793 + 10.1467i −0.350753 + 0.514460i −0.960554 0.278095i \(-0.910297\pi\)
0.609801 + 0.792555i \(0.291249\pi\)
\(390\) −4.45402 + 2.73077i −0.225538 + 0.138278i
\(391\) −8.64775 4.99278i −0.437336 0.252496i
\(392\) 14.8255 + 2.13875i 0.748803 + 0.108023i
\(393\) 3.74217 30.2211i 0.188767 1.52445i
\(394\) −5.93755 + 15.1286i −0.299129 + 0.762169i
\(395\) 7.70974 3.71282i 0.387919 0.186812i
\(396\) 5.37827 3.49606i 0.270268 0.175684i
\(397\) −11.8503 24.6074i −0.594750 1.23501i −0.953448 0.301558i \(-0.902493\pi\)
0.358698 0.933454i \(-0.383221\pi\)
\(398\) −3.13082 41.7779i −0.156934 2.09414i
\(399\) −2.93470 + 12.4087i −0.146919 + 0.621213i
\(400\) 1.68150 22.4381i 0.0840752 1.12191i
\(401\) 17.2739 6.77950i 0.862617 0.338552i 0.107550 0.994200i \(-0.465699\pi\)
0.755067 + 0.655647i \(0.227604\pi\)
\(402\) −0.675865 + 13.9534i −0.0337091 + 0.695932i
\(403\) −5.73896 + 14.6226i −0.285878 + 0.728406i
\(404\) −2.36025 10.3409i −0.117427 0.514481i
\(405\) 1.04104 + 5.70798i 0.0517299 + 0.283632i
\(406\) 3.54514 4.14598i 0.175942 0.205762i
\(407\) −4.87950 + 32.3733i −0.241868 + 1.60469i
\(408\) 0.205553 4.24368i 0.0101764 0.210094i
\(409\) −2.86573 + 9.29047i −0.141701 + 0.459384i −0.998407 0.0564212i \(-0.982031\pi\)
0.856706 + 0.515805i \(0.172507\pi\)
\(410\) −3.49979 2.02060i −0.172842 0.0997906i
\(411\) −5.68335 + 7.52597i −0.280339 + 0.371229i
\(412\) 6.64905 + 7.16597i 0.327575 + 0.353042i
\(413\) −22.6031 11.8548i −1.11222 0.583334i
\(414\) 23.3901 + 35.9828i 1.14956 + 1.76846i
\(415\) −0.850582 + 3.72664i −0.0417534 + 0.182934i
\(416\) −10.6513 1.60542i −0.522221 0.0787122i
\(417\) 2.95669 2.89235i 0.144790 0.141639i
\(418\) −9.53493 + 10.2762i −0.466369 + 0.502626i
\(419\) −17.8432 16.5561i −0.871697 0.808817i 0.111041 0.993816i \(-0.464581\pi\)
−0.982739 + 0.184999i \(0.940772\pi\)
\(420\) 1.79128 1.01557i 0.0874057 0.0495546i
\(421\) −21.7179 + 20.1513i −1.05847 + 0.982112i −0.999869 0.0161694i \(-0.994853\pi\)
−0.0585962 + 0.998282i \(0.518662\pi\)
\(422\) 6.65610i 0.324014i
\(423\) −13.9022 3.49653i −0.675948 0.170007i
\(424\) 0.659865 + 2.89106i 0.0320459 + 0.140402i
\(425\) 0.392720 + 5.24048i 0.0190497 + 0.254201i
\(426\) −18.5584 + 4.75455i −0.899157 + 0.230359i
\(427\) −2.69318 + 7.77547i −0.130332 + 0.376282i
\(428\) −0.775232 5.14333i −0.0374723 0.248612i
\(429\) −8.85499 12.2785i −0.427523 0.592811i
\(430\) 1.44909 + 0.568727i 0.0698814 + 0.0274264i
\(431\) −14.6908 + 30.5057i −0.707630 + 1.46941i 0.167677 + 0.985842i \(0.446373\pi\)
−0.875307 + 0.483567i \(0.839341\pi\)
\(432\) −12.6545 + 22.1428i −0.608841 + 1.06534i
\(433\) −0.0617456 0.128216i −0.00296731 0.00616167i 0.899480 0.436962i \(-0.143946\pi\)
−0.902447 + 0.430800i \(0.858231\pi\)
\(434\) 9.51057 21.9880i 0.456522 1.05546i
\(435\) −0.0678240 + 1.40024i −0.00325191 + 0.0671365i
\(436\) 0.565476 7.54576i 0.0270814 0.361376i
\(437\) −17.7679 16.4862i −0.849956 0.788644i
\(438\) −2.51698 0.504977i −0.120266 0.0241287i
\(439\) −13.6869 5.37173i −0.653242 0.256379i 0.0154925 0.999880i \(-0.495068\pi\)
−0.668734 + 0.743501i \(0.733164\pi\)
\(440\) −4.23207 −0.201756
\(441\) 18.7752 + 9.40695i 0.894059 + 0.447950i
\(442\) 5.36345 0.255113
\(443\) −15.7663 6.18782i −0.749080 0.293992i −0.0400759 0.999197i \(-0.512760\pi\)
−0.709004 + 0.705204i \(0.750855\pi\)
\(444\) 4.12115 + 12.2066i 0.195581 + 0.579302i
\(445\) −3.63150 3.36954i −0.172149 0.159731i
\(446\) 1.54569 20.6258i 0.0731904 0.976658i
\(447\) −26.2249 16.8834i −1.24040 0.798557i
\(448\) −9.38342 1.74471i −0.443325 0.0824299i
\(449\) −1.77406 3.68387i −0.0837230 0.173853i 0.854904 0.518786i \(-0.173616\pi\)
−0.938627 + 0.344933i \(0.887902\pi\)
\(450\) 8.71215 20.8383i 0.410695 0.982326i
\(451\) 5.08067 10.5501i 0.239239 0.496786i
\(452\) 11.0027 + 4.31825i 0.517525 + 0.203113i
\(453\) 6.81684 15.1670i 0.320283 0.712607i
\(454\) 4.50378 + 29.8806i 0.211373 + 1.40237i
\(455\) −2.59842 4.10647i −0.121816 0.192514i
\(456\) 2.77859 9.93155i 0.130119 0.465088i
\(457\) −1.16005 15.4798i −0.0542649 0.724115i −0.956288 0.292427i \(-0.905537\pi\)
0.902023 0.431688i \(-0.142082\pi\)
\(458\) 7.84760 + 34.3826i 0.366694 + 1.60659i
\(459\) 2.15171 5.55423i 0.100433 0.259249i
\(460\) 3.91421i 0.182501i
\(461\) −7.82527 + 7.26079i −0.364459 + 0.338169i −0.841051 0.540956i \(-0.818062\pi\)
0.476592 + 0.879125i \(0.341872\pi\)
\(462\) 12.8556 + 19.1769i 0.598098 + 0.892190i
\(463\) 9.24393 + 8.57712i 0.429602 + 0.398612i 0.865118 0.501569i \(-0.167244\pi\)
−0.435516 + 0.900181i \(0.643434\pi\)
\(464\) −4.19128 + 4.51713i −0.194575 + 0.209702i
\(465\) 1.52794 + 5.96401i 0.0708567 + 0.276575i
\(466\) 17.9877 + 2.71121i 0.833263 + 0.125594i
\(467\) 3.30402 14.4759i 0.152892 0.669863i −0.839144 0.543909i \(-0.816944\pi\)
0.992036 0.125954i \(-0.0401992\pi\)
\(468\) −5.30921 2.70223i −0.245418 0.124911i
\(469\) −12.9862 0.444775i −0.599647 0.0205378i
\(470\) −3.44101 3.70853i −0.158722 0.171062i
\(471\) −35.8922 4.44440i −1.65382 0.204787i
\(472\) 17.8773 + 10.3215i 0.822870 + 0.475084i
\(473\) −1.32955 + 4.31028i −0.0611326 + 0.198187i
\(474\) 31.7460 + 20.4378i 1.45814 + 0.938739i
\(475\) −1.90119 + 12.6136i −0.0872327 + 0.578751i
\(476\) −2.11267 0.0723587i −0.0968342 0.00331656i
\(477\) −0.401802 + 4.13792i −0.0183973 + 0.189462i
\(478\) −5.01587 21.9760i −0.229421 1.00516i
\(479\) −8.03422 + 20.4709i −0.367093 + 0.935337i 0.621321 + 0.783556i \(0.286596\pi\)
−0.988414 + 0.151781i \(0.951499\pi\)
\(480\) −3.75394 + 1.93149i −0.171343 + 0.0881601i
\(481\) 28.3030 11.1081i 1.29051 0.506486i
\(482\) −2.53851 + 33.8740i −0.115626 + 1.54292i
\(483\) −33.1576 + 22.2279i −1.50872 + 1.01140i
\(484\) −0.0827561 1.10430i −0.00376164 0.0501956i
\(485\) −3.59535 7.46583i −0.163257 0.339006i
\(486\) −19.0698 + 17.0796i −0.865023 + 0.774748i
\(487\) 19.2653 9.27770i 0.872996 0.420413i 0.0569347 0.998378i \(-0.481867\pi\)
0.816062 + 0.577965i \(0.196153\pi\)
\(488\) 2.43145 6.19523i 0.110066 0.280445i
\(489\) 28.0611 11.8773i 1.26897 0.537109i
\(490\) 3.74609 + 6.39465i 0.169231 + 0.288881i
\(491\) 0.995052 + 0.574494i 0.0449061 + 0.0259265i 0.522285 0.852771i \(-0.325080\pi\)
−0.477379 + 0.878698i \(0.658413\pi\)
\(492\) −0.121640 4.60645i −0.00548396 0.207675i
\(493\) 0.810714 1.18910i 0.0365127 0.0535543i
\(494\) 12.6925 + 2.89698i 0.571062 + 0.130341i
\(495\) −5.62976 1.87313i −0.253039 0.0841911i
\(496\) −11.7417 + 24.3819i −0.527219 + 1.09478i
\(497\) −4.66642 17.1975i −0.209318 0.771415i
\(498\) −15.9794 + 5.39491i −0.716056 + 0.241752i
\(499\) −5.83924 14.8782i −0.261400 0.666038i 0.738566 0.674181i \(-0.235503\pi\)
−0.999967 + 0.00814324i \(0.997408\pi\)
\(500\) 3.55834 2.42603i 0.159134 0.108495i
\(501\) −19.7571 + 12.1131i −0.882681 + 0.541175i
\(502\) 6.27446 + 6.76226i 0.280043 + 0.301815i
\(503\) 23.3181 + 29.2400i 1.03970 + 1.30375i 0.951502 + 0.307644i \(0.0995406\pi\)
0.0882016 + 0.996103i \(0.471888\pi\)
\(504\) −14.8642 8.21779i −0.662105 0.366050i
\(505\) −6.11688 + 7.67033i −0.272198 + 0.341325i
\(506\) −43.7636 + 3.27963i −1.94553 + 0.145797i
\(507\) 3.46718 7.71422i 0.153983 0.342601i
\(508\) −2.43843 + 4.22349i −0.108188 + 0.187387i
\(509\) −10.7031 + 18.5383i −0.474405 + 0.821694i −0.999570 0.0293065i \(-0.990670\pi\)
0.525165 + 0.851000i \(0.324003\pi\)
\(510\) 1.70497 1.22959i 0.0754973 0.0544470i
\(511\) 0.436495 2.34756i 0.0193094 0.103850i
\(512\) 2.38751 + 0.544934i 0.105514 + 0.0240829i
\(513\) 8.09200 11.9817i 0.357271 0.529007i
\(514\) −18.3067 14.5991i −0.807476 0.643941i
\(515\) 1.34761 8.94079i 0.0593827 0.393978i
\(516\) 0.310799 + 1.74763i 0.0136822 + 0.0769353i
\(517\) 9.97063 10.7458i 0.438508 0.472599i
\(518\) −43.7188 + 15.4533i −1.92089 + 0.678977i
\(519\) −0.319083 + 0.709938i −0.0140062 + 0.0311628i
\(520\) 1.96516 + 3.40377i 0.0861782 + 0.149265i
\(521\) −25.8835 −1.13398 −0.566988 0.823726i \(-0.691892\pi\)
−0.566988 + 0.823726i \(0.691892\pi\)
\(522\) −5.42345 + 2.97412i −0.237378 + 0.130174i
\(523\) 3.92027 8.14053i 0.171422 0.355961i −0.797504 0.603314i \(-0.793847\pi\)
0.968925 + 0.247353i \(0.0795609\pi\)
\(524\) 12.1173 + 1.82640i 0.529348 + 0.0797864i
\(525\) 19.4953 + 7.82820i 0.850846 + 0.341651i
\(526\) 47.1481 7.10643i 2.05575 0.309855i
\(527\) 1.86296 6.03958i 0.0811519 0.263088i
\(528\) −13.6316 22.2337i −0.593237 0.967597i
\(529\) −3.95181 52.7332i −0.171818 2.29275i
\(530\) −0.914774 + 1.14709i −0.0397353 + 0.0498264i
\(531\) 19.2132 + 21.6428i 0.833781 + 0.939219i
\(532\) −4.96051 1.31236i −0.215065 0.0568980i
\(533\) −10.8445 + 0.812679i −0.469725 + 0.0352011i
\(534\) 4.29960 21.4307i 0.186062 0.927399i
\(535\) −3.27232 + 3.52672i −0.141475 + 0.152473i
\(536\) 10.4799 + 0.785360i 0.452662 + 0.0339224i
\(537\) 6.11374 11.2660i 0.263827 0.486165i
\(538\) 4.26417 2.46192i 0.183842 0.106141i
\(539\) −17.6661 + 12.2090i −0.760931 + 0.525877i
\(540\) −2.30722 + 0.358149i −0.0992869 + 0.0154123i
\(541\) −5.60954 7.03414i −0.241173 0.302421i 0.646483 0.762928i \(-0.276239\pi\)
−0.887656 + 0.460507i \(0.847668\pi\)
\(542\) 22.4129 + 15.2808i 0.962715 + 0.656368i
\(543\) 9.98084 1.77499i 0.428319 0.0761722i
\(544\) 4.32186 + 0.323879i 0.185298 + 0.0138862i
\(545\) −5.78280 + 3.94265i −0.247708 + 0.168884i
\(546\) 9.45406 19.2443i 0.404596 0.823581i
\(547\) 19.1352 + 13.0462i 0.818163 + 0.557814i 0.898510 0.438953i \(-0.144651\pi\)
−0.0803473 + 0.996767i \(0.525603\pi\)
\(548\) −2.96712 2.36620i −0.126749 0.101079i
\(549\) 5.97650 7.16510i 0.255071 0.305799i
\(550\) 14.4003 + 18.0575i 0.614033 + 0.769973i
\(551\) 2.56081 2.37608i 0.109094 0.101224i
\(552\) 27.5245 16.8754i 1.17152 0.718264i
\(553\) −18.5899 + 29.7945i −0.790523 + 1.26699i
\(554\) −16.8452 + 6.61124i −0.715683 + 0.280885i
\(555\) 6.45057 10.0197i 0.273812 0.425311i
\(556\) 1.13210 + 1.22012i 0.0480119 + 0.0517445i
\(557\) 38.9043i 1.64843i −0.566279 0.824214i \(-0.691618\pi\)
0.566279 0.824214i \(-0.308382\pi\)
\(558\) −18.9100 + 19.5016i −0.800523 + 0.825568i
\(559\) 4.08404 0.932156i 0.172737 0.0394260i
\(560\) −3.93525 7.38917i −0.166295 0.312250i
\(561\) 3.92206 + 4.66023i 0.165590 + 0.196755i
\(562\) −8.19210 7.60116i −0.345563 0.320636i
\(563\) 7.29710 + 18.5927i 0.307536 + 0.783589i 0.998175 + 0.0603892i \(0.0192342\pi\)
−0.690639 + 0.723200i \(0.742671\pi\)
\(564\) 1.55423 5.55532i 0.0654450 0.233921i
\(565\) −3.22244 10.4469i −0.135569 0.439504i
\(566\) 11.1756 48.9633i 0.469743 2.05808i
\(567\) −16.1361 17.5108i −0.677651 0.735384i
\(568\) 3.20701 + 14.0508i 0.134563 + 0.589559i
\(569\) −17.9286 + 10.3511i −0.751607 + 0.433941i −0.826274 0.563268i \(-0.809544\pi\)
0.0746672 + 0.997209i \(0.476211\pi\)
\(570\) 4.69891 1.98888i 0.196816 0.0833050i
\(571\) 17.5528 + 5.41431i 0.734561 + 0.226582i 0.639394 0.768879i \(-0.279185\pi\)
0.0951669 + 0.995461i \(0.469662\pi\)
\(572\) 5.03336 3.43168i 0.210455 0.143486i
\(573\) 10.6918 + 41.7332i 0.446657 + 1.74343i
\(574\) 16.5713 0.672558i 0.691674 0.0280720i
\(575\) −31.2220 + 24.8987i −1.30205 + 1.03835i
\(576\) 9.25097 + 5.61594i 0.385457 + 0.233997i
\(577\) 0.228360 0.182111i 0.00950674 0.00758137i −0.618725 0.785608i \(-0.712350\pi\)
0.628232 + 0.778026i \(0.283779\pi\)
\(578\) 25.6883 1.92507i 1.06849 0.0800724i
\(579\) 1.17575 + 1.20190i 0.0488624 + 0.0499493i
\(580\) −0.562558 0.0421579i −0.0233590 0.00175051i
\(581\) −5.22801 14.7905i −0.216894 0.613615i
\(582\) 19.7912 30.7416i 0.820372 1.27428i
\(583\) −3.51258 2.39484i −0.145476 0.0991841i
\(584\) −0.429739 + 1.88281i −0.0177827 + 0.0779112i
\(585\) 1.10766 + 5.39769i 0.0457961 + 0.223167i
\(586\) 1.91036 1.52346i 0.0789160 0.0629334i
\(587\) −10.9257 18.9238i −0.450951 0.781070i 0.547494 0.836809i \(-0.315582\pi\)
−0.998445 + 0.0557393i \(0.982248\pi\)
\(588\) −3.98359 + 7.45282i −0.164281 + 0.307349i
\(589\) 7.67083 13.2863i 0.316071 0.547451i
\(590\) 1.52223 + 10.0994i 0.0626694 + 0.415784i
\(591\) 12.8684 + 11.3229i 0.529336 + 0.465762i
\(592\) 50.0528 15.4392i 2.05716 0.634549i
\(593\) 30.3591 14.6202i 1.24670 0.600379i 0.310074 0.950712i \(-0.399646\pi\)
0.936625 + 0.350334i \(0.113932\pi\)
\(594\) −5.93753 25.4962i −0.243620 1.04612i
\(595\) 1.16603 + 1.56950i 0.0478027 + 0.0643433i
\(596\) 7.07029 10.3702i 0.289610 0.424780i
\(597\) −42.5519 11.9049i −1.74153 0.487235i
\(598\) 22.9594 + 33.6752i 0.938879 + 1.37708i
\(599\) −5.35750 35.5447i −0.218901 1.45232i −0.780630 0.624994i \(-0.785101\pi\)
0.561728 0.827322i \(-0.310137\pi\)
\(600\) −15.4979 6.96558i −0.632700 0.284369i
\(601\) −1.17533 0.461283i −0.0479427 0.0188161i 0.341249 0.939973i \(-0.389150\pi\)
−0.389191 + 0.921157i \(0.627245\pi\)
\(602\) −6.27348 + 1.20758i −0.255688 + 0.0492171i
\(603\) 13.5934 + 5.68318i 0.553566 + 0.231437i
\(604\) 6.02884 + 2.90334i 0.245310 + 0.118135i
\(605\) −0.750850 + 0.696687i −0.0305264 + 0.0283243i
\(606\) −42.9588 5.31943i −1.74508 0.216087i
\(607\) −16.6121 9.59099i −0.674263 0.389286i 0.123427 0.992354i \(-0.460612\pi\)
−0.797690 + 0.603068i \(0.793945\pi\)
\(608\) 10.0526 + 3.10083i 0.407689 + 0.125755i
\(609\) −2.83751 5.00488i −0.114982 0.202808i
\(610\) 3.14652 0.970574i 0.127399 0.0392974i
\(611\) −13.2725 3.02936i −0.536947 0.122555i
\(612\) 2.21145 + 0.924574i 0.0893927 + 0.0373737i
\(613\) −23.6281 + 29.6287i −0.954332 + 1.19669i 0.0260652 + 0.999660i \(0.491702\pi\)
−0.980397 + 0.197034i \(0.936869\pi\)
\(614\) −36.3582 + 11.2150i −1.46730 + 0.452602i
\(615\) −3.26100 + 2.74446i −0.131496 + 0.110667i
\(616\) 14.6768 9.28695i 0.591346 0.374182i
\(617\) −0.201273 + 0.652509i −0.00810293 + 0.0262690i −0.959534 0.281593i \(-0.909137\pi\)
0.951431 + 0.307862i \(0.0996135\pi\)
\(618\) 36.7387 15.5502i 1.47785 0.625521i
\(619\) −32.7010 + 18.8799i −1.31436 + 0.758848i −0.982816 0.184590i \(-0.940904\pi\)
−0.331548 + 0.943438i \(0.607571\pi\)
\(620\) −2.41539 + 0.551296i −0.0970042 + 0.0221406i
\(621\) 44.0839 10.2662i 1.76903 0.411969i
\(622\) 3.54336 + 2.82574i 0.142076 + 0.113302i
\(623\) 19.9882 + 3.71652i 0.800811 + 0.148899i
\(624\) −11.5523 + 21.2878i −0.462460 + 0.852194i
\(625\) 18.0971 + 5.58223i 0.723885 + 0.223289i
\(626\) −42.8621 + 6.46042i −1.71311 + 0.258210i
\(627\) 6.76433 + 13.1468i 0.270141 + 0.525031i
\(628\) 2.16913 14.3912i 0.0865575 0.574272i
\(629\) −11.0220 + 5.30790i −0.439475 + 0.211640i
\(630\) −1.40650 8.28488i −0.0560363 0.330078i
\(631\) 28.9070 + 13.9209i 1.15077 + 0.554181i 0.909265 0.416219i \(-0.136645\pi\)
0.241504 + 0.970400i \(0.422359\pi\)
\(632\) 16.0002 23.4680i 0.636453 0.933506i
\(633\) −6.60020 2.39132i −0.262335 0.0950464i
\(634\) 2.90256 38.7320i 0.115276 1.53824i
\(635\) 4.46043 0.672302i 0.177007 0.0266795i
\(636\) −1.66030 0.205589i −0.0658352 0.00815214i
\(637\) 18.0226 + 8.53920i 0.714083 + 0.338336i
\(638\) 6.32512i 0.250414i
\(639\) −1.95280 + 20.1107i −0.0772515 + 0.795567i
\(640\) 3.77221 + 7.83307i 0.149110 + 0.309629i
\(641\) −3.55031 11.5098i −0.140229 0.454610i 0.858030 0.513600i \(-0.171688\pi\)
−0.998259 + 0.0589895i \(0.981212\pi\)
\(642\) −20.8124 4.17555i −0.821400 0.164796i
\(643\) −3.19635 4.68819i −0.126052 0.184884i 0.758025 0.652225i \(-0.226164\pi\)
−0.884077 + 0.467341i \(0.845212\pi\)
\(644\) −8.58942 13.5745i −0.338471 0.534909i
\(645\) 1.08456 1.23260i 0.0427046 0.0485335i
\(646\) −5.17969 0.780713i −0.203792 0.0307167i
\(647\) 36.6568 + 17.6530i 1.44113 + 0.694010i 0.981030 0.193858i \(-0.0621000\pi\)
0.460098 + 0.887868i \(0.347814\pi\)
\(648\) 12.4656 + 14.6802i 0.489697 + 0.576691i
\(649\) −28.8523 + 6.58536i −1.13255 + 0.258498i
\(650\) 7.83643 19.9669i 0.307370 0.783166i
\(651\) −18.3865 17.3302i −0.720623 0.679226i
\(652\) 4.47981 + 11.4144i 0.175443 + 0.447021i
\(653\) 16.4822 + 24.1750i 0.644999 + 0.946040i 0.999938 + 0.0111505i \(0.00354937\pi\)
−0.354939 + 0.934890i \(0.615498\pi\)
\(654\) −28.1666 12.6596i −1.10140 0.495028i
\(655\) −5.66721 9.81589i −0.221436 0.383539i
\(656\) −18.7347 −0.731467
\(657\) −1.40500 + 2.31442i −0.0548144 + 0.0902942i
\(658\) 20.0715 + 5.31015i 0.782469 + 0.207011i
\(659\) 3.14692 + 10.2021i 0.122587 + 0.397417i 0.995978 0.0896036i \(-0.0285600\pi\)
−0.873391 + 0.487020i \(0.838084\pi\)
\(660\) 0.813312 2.24480i 0.0316581 0.0873786i
\(661\) 20.3227 7.97608i 0.790462 0.310233i 0.0644548 0.997921i \(-0.479469\pi\)
0.726007 + 0.687687i \(0.241374\pi\)
\(662\) 13.2410 5.19672i 0.514627 0.201976i
\(663\) 1.92691 5.31841i 0.0748351 0.206550i
\(664\) 3.73979 + 12.1241i 0.145132 + 0.470506i
\(665\) 1.91165 + 4.34400i 0.0741306 + 0.168453i
\(666\) 52.5654 + 1.15658i 2.03687 + 0.0448166i
\(667\) 10.9364 0.423458
\(668\) −4.66291 8.07639i −0.180413 0.312485i
\(669\) −19.8972 8.94286i −0.769271 0.345751i
\(670\) 2.92906 + 4.29615i 0.113160 + 0.165975i
\(671\) 3.48580 + 8.88166i 0.134568 + 0.342873i
\(672\) 8.78015 14.9361i 0.338702 0.576174i
\(673\) 13.4132 34.1764i 0.517042 1.31740i −0.399232 0.916850i \(-0.630723\pi\)
0.916274 0.400552i \(-0.131182\pi\)
\(674\) 2.53444 0.578469i 0.0976229 0.0222818i
\(675\) −17.5333 16.1255i −0.674857 0.620671i
\(676\) 3.06639 + 1.47669i 0.117938 + 0.0567959i
\(677\) 33.6607 + 5.07354i 1.29369 + 0.194992i 0.759574 0.650421i \(-0.225408\pi\)
0.534113 + 0.845413i \(0.320646\pi\)
\(678\) 31.8645 36.2138i 1.22375 1.39078i
\(679\) 28.8519 + 18.0018i 1.10723 + 0.690845i
\(680\) −0.890824 1.30660i −0.0341615 0.0501058i
\(681\) 31.2477 + 6.26917i 1.19742 + 0.240235i
\(682\) −8.18768 26.5438i −0.313522 1.01641i
\(683\) 0.751972 + 1.56149i 0.0287734 + 0.0597486i 0.914860 0.403771i \(-0.132301\pi\)
−0.886087 + 0.463519i \(0.846586\pi\)
\(684\) 4.73396 + 3.38246i 0.181008 + 0.129332i
\(685\) 3.51023i 0.134119i
\(686\) −27.0240 13.9561i −1.03178 0.532847i
\(687\) 36.9132 + 4.57083i 1.40833 + 0.174388i
\(688\) 7.13613 1.07560i 0.272062 0.0410068i
\(689\) −0.295048 + 3.93714i −0.0112404 + 0.149993i
\(690\) 15.0186 + 5.44139i 0.571749 + 0.207150i
\(691\) 18.7025 27.4316i 0.711478 1.04355i −0.284903 0.958556i \(-0.591961\pi\)
0.996382 0.0849909i \(-0.0270861\pi\)
\(692\) −0.282199 0.135900i −0.0107276 0.00516613i
\(693\) 23.6345 5.85804i 0.897799 0.222529i
\(694\) 6.59140 3.17425i 0.250206 0.120493i
\(695\) 0.229451 1.52231i 0.00870357 0.0577444i
\(696\) 2.12891 + 4.13764i 0.0806963 + 0.156837i
\(697\) 4.32667 0.652140i 0.163884 0.0247016i
\(698\) −35.0961 10.8257i −1.32841 0.409759i
\(699\) 9.15082 16.8626i 0.346116 0.637801i
\(700\) −3.35616 + 7.75927i −0.126851 + 0.293273i
\(701\) −23.9075 19.0656i −0.902974 0.720098i 0.0575359 0.998343i \(-0.481676\pi\)
−0.960510 + 0.278246i \(0.910247\pi\)
\(702\) −17.7490 + 16.6146i −0.669893 + 0.627079i
\(703\) −28.9502 + 6.60769i −1.09188 + 0.249214i
\(704\) −9.58397 + 5.53331i −0.361210 + 0.208544i
\(705\) −4.91363 + 2.07976i −0.185058 + 0.0783284i
\(706\) −0.816109 + 2.64576i −0.0307147 + 0.0995745i
\(707\) 4.38142 40.0237i 0.164780 1.50525i
\(708\) −8.91040 + 7.49902i −0.334873 + 0.281830i
\(709\) 1.31030 0.404173i 0.0492093 0.0151791i −0.270053 0.962846i \(-0.587041\pi\)
0.319262 + 0.947666i \(0.396565\pi\)
\(710\) −4.44589 + 5.57497i −0.166851 + 0.209225i
\(711\) 31.6715 24.1368i 1.18777 0.905200i
\(712\) −16.0311 3.65899i −0.600791 0.137127i
\(713\) 45.8952 14.1568i 1.71879 0.530176i
\(714\) −3.21460 + 8.00563i −0.120303 + 0.299603i
\(715\) −5.38431 1.66084i −0.201362 0.0621118i
\(716\) 4.46706 + 2.57906i 0.166942 + 0.0963840i
\(717\) −23.5935 2.92149i −0.881114 0.109105i
\(718\) −28.0773 + 26.0519i −1.04784 + 0.972250i
\(719\) 1.24045 + 0.597369i 0.0462610 + 0.0222781i 0.456871 0.889533i \(-0.348970\pi\)
−0.410610 + 0.911811i \(0.634684\pi\)
\(720\) 1.20798 + 9.41549i 0.0450189 + 0.350895i
\(721\) 14.9464 + 33.9639i 0.556632 + 1.26488i
\(722\) 17.2100 + 6.75441i 0.640488 + 0.251373i
\(723\) 32.6776 + 14.6870i 1.21529 + 0.546216i
\(724\) 0.608008 + 4.03387i 0.0225964 + 0.149917i
\(725\) −3.24222 4.75547i −0.120413 0.176614i
\(726\) −4.35220 1.21763i −0.161525 0.0451906i
\(727\) 24.6232 36.1157i 0.913226 1.33946i −0.0272620 0.999628i \(-0.508679\pi\)
0.940488 0.339828i \(-0.110369\pi\)
\(728\) −14.2845 7.49186i −0.529419 0.277667i
\(729\) 10.0851 + 25.0458i 0.373521 + 0.927622i
\(730\) −0.860883 + 0.414579i −0.0318627 + 0.0153443i
\(731\) −1.61061 + 0.496806i −0.0595704 + 0.0183750i
\(732\) 2.81883 + 2.48029i 0.104187 + 0.0916742i
\(733\) 6.60262 + 43.8055i 0.243873 + 1.61799i 0.690541 + 0.723293i \(0.257372\pi\)
−0.446668 + 0.894700i \(0.647389\pi\)
\(734\) −11.1739 + 19.3537i −0.412435 + 0.714358i
\(735\) 7.68679 1.41725i 0.283532 0.0522760i
\(736\) 16.4671 + 28.5219i 0.606986 + 1.05133i
\(737\) −11.7794 + 9.39375i −0.433900 + 0.346023i
\(738\) −17.8438 5.93700i −0.656841 0.218544i
\(739\) 11.2783 49.4134i 0.414878 1.81770i −0.145371 0.989377i \(-0.546438\pi\)
0.560249 0.828324i \(-0.310705\pi\)
\(740\) 3.96211 + 2.70132i 0.145650 + 0.0993024i
\(741\) 7.43264 11.5451i 0.273045 0.424120i
\(742\) 0.655237 5.98551i 0.0240545 0.219735i
\(743\) −8.38087 0.628059i −0.307464 0.0230413i −0.0798953 0.996803i \(-0.525459\pi\)
−0.227569 + 0.973762i \(0.573078\pi\)
\(744\) 14.2902 + 14.6081i 0.523904 + 0.535558i
\(745\) −11.5766 + 0.867543i −0.424132 + 0.0317843i
\(746\) −16.8257 + 13.4181i −0.616033 + 0.491270i
\(747\) −0.391284 + 17.7835i −0.0143163 + 0.650663i
\(748\) −1.91634 + 1.52823i −0.0700684 + 0.0558777i
\(749\) 3.60929 19.4115i 0.131881 0.709281i
\(750\) −4.36190 17.0258i −0.159274 0.621693i
\(751\) 4.80950 3.27906i 0.175501 0.119655i −0.472384 0.881393i \(-0.656606\pi\)
0.647885 + 0.761739i \(0.275654\pi\)
\(752\) −22.4113 6.91296i −0.817255 0.252090i
\(753\) 8.95968 3.79231i 0.326509 0.138200i
\(754\) −5.08716 + 2.93707i −0.185264 + 0.106962i
\(755\) −1.37724 6.03407i −0.0501228 0.219602i
\(756\) 7.21550 6.30507i 0.262425 0.229313i
\(757\) −0.319428 + 1.39950i −0.0116098 + 0.0508659i −0.980401 0.197012i \(-0.936876\pi\)
0.968791 + 0.247878i \(0.0797333\pi\)
\(758\) 5.07355 + 16.4480i 0.184280 + 0.597420i
\(759\) −12.4707 + 44.5744i −0.452659 + 1.61795i
\(760\) −1.40238 3.57320i −0.0508696 0.129614i
\(761\) 15.7635 + 14.6264i 0.571428 + 0.530208i 0.912096 0.409976i \(-0.134463\pi\)
−0.340668 + 0.940184i \(0.610653\pi\)
\(762\) 12.8155 + 15.2275i 0.464257 + 0.551635i
\(763\) 11.4029 26.3630i 0.412814 0.954405i
\(764\) −16.9017 + 3.85770i −0.611482 + 0.139567i
\(765\) −0.606722 2.13240i −0.0219361 0.0770971i
\(766\) 33.7146i 1.21816i
\(767\) 18.6941 + 20.1474i 0.675003 + 0.727481i
\(768\) −14.0003 + 21.7466i −0.505192 + 0.784713i
\(769\) −12.8813 + 5.05552i −0.464510 + 0.182307i −0.586042 0.810281i \(-0.699315\pi\)
0.121532 + 0.992588i \(0.461219\pi\)
\(770\) 8.11996 + 2.81249i 0.292623 + 0.101355i
\(771\) −21.0536 + 12.9080i −0.758225 + 0.464871i
\(772\) −0.495981 + 0.460203i −0.0178507 + 0.0165631i