Properties

Label 441.2.bh.a.398.42
Level $441$
Weight $2$
Character 441.398
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 398.42
Character \(\chi\) \(=\) 441.398
Dual form 441.2.bh.a.41.42

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9} + O(q^{10}) \) \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9} - 28 q^{10} - 15 q^{11} + 21 q^{12} - 7 q^{13} - 114 q^{14} - 10 q^{15} + 39 q^{16} - 18 q^{18} - 21 q^{20} + 10 q^{21} + 3 q^{22} + 30 q^{23} - 14 q^{24} + 41 q^{25} + 7 q^{27} - 20 q^{28} + 75 q^{29} - 70 q^{30} - 39 q^{32} - 14 q^{33} - 7 q^{34} - 128 q^{36} - 10 q^{37} + 21 q^{38} - 36 q^{39} - 7 q^{40} - 21 q^{41} + 104 q^{42} + 3 q^{43} - 35 q^{45} - 72 q^{46} - 147 q^{47} - 13 q^{49} - 18 q^{50} + 22 q^{51} - 35 q^{52} - 14 q^{54} - 112 q^{55} - 63 q^{56} - 16 q^{57} + 33 q^{58} - 21 q^{59} - 90 q^{60} - 56 q^{61} - 38 q^{63} + 52 q^{64} + 27 q^{65} - 42 q^{66} - 26 q^{67} - 182 q^{69} - 25 q^{70} + 24 q^{72} - 28 q^{73} + 33 q^{74} - 14 q^{75} + 21 q^{76} + 3 q^{77} + 90 q^{78} - 2 q^{79} + 56 q^{81} - 28 q^{82} - 21 q^{83} + 116 q^{84} + 5 q^{85} - 123 q^{86} - 70 q^{87} - 41 q^{88} - 224 q^{90} - 4 q^{91} - 225 q^{92} + 112 q^{93} - 7 q^{94} - 12 q^{95} - 371 q^{96} + 224 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\) \(e\left(\frac{1}{6}\right)\)

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 0.243038 0.970017i \(-0.421856\pi\)
0.837938 + 0.545765i \(0.183761\pi\)
\(3\) 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 0.997561 + 0.0698026i \(0.0222369\pi\)
−0.976015 + 0.217702i \(0.930144\pi\)
\(6\) 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 0.106592 0.994303i \(-0.466006\pi\)
0.754435 + 0.656375i \(0.227911\pi\)
\(12\) 1.20106 + 0.121964i 0.346716 + 0.0352080i
\(13\) −0.424627 + 2.81722i −0.117770 + 0.781355i 0.849497 + 0.527594i \(0.176906\pi\)
−0.967267 + 0.253761i \(0.918332\pi\)
\(14\) 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 −0.934529 0.355887i \(-0.884179\pi\)
0.996395 + 0.0848340i \(0.0270360\pi\)
\(18\) 1.20170 + 4.77796i 0.283244 + 1.12618i
\(19\) 2.78250i 0.638350i −0.947696 0.319175i \(-0.896594\pi\)
0.947696 0.319175i \(-0.103406\pi\)
\(20\) 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 −0.924559 0.381040i \(-0.875566\pi\)
−0.310882 0.950448i \(-0.600624\pi\)
\(24\) −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 −0.807341 0.590086i \(-0.799094\pi\)
0.648768 + 0.760986i \(0.275284\pi\)
\(30\) −0.714781 + 1.68873i −0.130501 + 0.308319i
\(31\) −4.77494 + 2.75681i −0.857604 + 0.495138i −0.863209 0.504847i \(-0.831549\pi\)
0.00560541 + 0.999984i \(0.498216\pi\)
\(32\) 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 −0.272836 0.962061i \(-0.587962\pi\)
0.663239 0.748408i \(-0.269181\pi\)
\(38\) −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 0.974152 + 0.225893i \(0.0725300\pi\)
−0.929604 + 0.368560i \(0.879851\pi\)
\(42\) 6.18466 4.28800i 0.954313 0.661653i
\(43\) 0.109879 1.46623i 0.0167564 0.223599i −0.982539 0.186058i \(-0.940429\pi\)
0.999295 0.0375404i \(-0.0119523\pi\)
\(44\) 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 0.999837 0.0180283i \(-0.00573890\pi\)
−0.745195 + 0.666847i \(0.767644\pi\)
\(48\) −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 −0.314301 0.949323i \(-0.601770\pi\)
0.128720 + 0.991681i \(0.458913\pi\)
\(54\) −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 −0.0804404 0.996759i \(-0.525633\pi\)
−0.957245 + 0.289277i \(0.906585\pi\)
\(60\) −0.0205446 + 0.778012i −0.00265229 + 0.100441i
\(61\) 2.11544 2.27990i 0.270854 0.291911i −0.582947 0.812510i \(-0.698101\pi\)
0.853802 + 0.520598i \(0.174291\pi\)
\(62\) −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 0.676136 0.736777i \(-0.263653\pi\)
−0.976135 + 0.217163i \(0.930320\pi\)
\(68\) −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 −0.593612 0.804752i \(-0.702298\pi\)
−0.185657 + 0.982615i \(0.559441\pi\)
\(72\) −5.38237 3.49873i −0.634318 0.412329i
\(73\) −0.705605 + 0.562701i −0.0825848 + 0.0658592i −0.663912 0.747811i \(-0.731105\pi\)
0.581327 + 0.813670i \(0.302534\pi\)
\(74\) −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 −0.202709 0.979239i \(-0.564975\pi\)
0.949400 0.314068i \(-0.101692\pi\)
\(80\) −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 −0.462706 0.886512i \(-0.653121\pi\)
−0.180845 + 0.983512i \(0.557883\pi\)
\(84\) 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 0.967981 0.251023i \(-0.0807671\pi\)
−0.460126 + 0.887854i \(0.652196\pi\)
\(90\) −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 0.943993 0.329965i \(-0.107037\pi\)
0.186238 + 0.982505i \(0.440370\pi\)
\(98\) −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 −0.993565 0.113261i \(-0.963870\pi\)
−0.257559 + 0.966263i \(0.582918\pi\)
\(102\) 2.09958 2.49474i 0.207889 0.247016i
\(103\) 13.9860 1.04810i 1.37808 0.103273i 0.635018 0.772498i \(-0.280993\pi\)
0.743060 + 0.669225i \(0.233374\pi\)
\(104\) −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 −0.863534 0.504290i \(-0.831754\pi\)
0.299492 + 0.954099i \(0.403183\pi\)
\(108\) −0.821439 + 3.52732i −0.0790430 + 0.339417i
\(109\) −6.76887 + 8.48790i −0.648341 + 0.812993i −0.992018 0.126094i \(-0.959756\pi\)
0.343678 + 0.939088i \(0.388327\pi\)
\(110\) 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 0.962853 0.270026i \(-0.0870324\pi\)
0.522157 + 0.852850i \(0.325128\pi\)
\(114\) 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 −0.857680 0.514183i \(-0.828095\pi\)
0.995839 0.0911297i \(-0.0290478\pi\)
\(128\) −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 0.995337 0.0964612i \(-0.0307524\pi\)
0.273844 + 0.961774i \(0.411705\pi\)
\(132\) 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 −0.159264 0.987236i \(-0.550912\pi\)
−0.304625 + 0.952472i \(0.598531\pi\)
\(138\) −6.67591 23.8618i −0.568291 2.03125i
\(139\) 2.38133 0.178456i 0.201981 0.0151364i 0.0266449 0.999645i \(-0.491518\pi\)
0.175337 + 0.984509i \(0.443899\pi\)
\(140\) 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 0.557750 + 0.830009i \(0.311665\pi\)
−0.777620 + 0.628735i \(0.783573\pi\)
\(150\) 12.3550 + 4.17124i 1.00878 + 0.340580i
\(151\) 9.17394 + 2.82979i 0.746565 + 0.230285i 0.644618 0.764505i \(-0.277017\pi\)
0.101947 + 0.994790i \(0.467493\pi\)
\(152\) 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 −0.0125213 + 0.999922i \(0.503986\pi\)
−0.926226 + 0.376968i \(0.876967\pi\)
\(158\) 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 0.306277 0.951942i \(-0.400916\pi\)
0.935219 + 0.354069i \(0.115202\pi\)
\(164\) 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 −0.746871 0.664969i \(-0.768445\pi\)
−0.242503 + 0.970151i \(0.577968\pi\)
\(168\) −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 0.278388 0.960469i \(-0.410200\pi\)
−0.311036 + 0.950398i \(0.600676\pi\)
\(174\) −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 0.483476 0.875358i \(-0.339374\pi\)
0.0557932 + 0.998442i \(0.482231\pi\)
\(180\) −1.03519 + 0.863461i −0.0771582 + 0.0643586i
\(181\) 4.57595 3.64920i 0.340127 0.271243i −0.438497 0.898733i \(-0.644489\pi\)
0.778625 + 0.627490i \(0.215918\pi\)
\(182\) 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 −0.867287 0.497808i \(-0.834138\pi\)
−0.146541 0.989205i \(-0.546814\pi\)
\(192\) 1.09401 6.15165i 0.0789534 0.443957i
\(193\) −0.0725428 0.968016i −0.00522174 0.0696793i 0.993984 0.109524i \(-0.0349327\pi\)
−0.999206 + 0.0398448i \(0.987314\pi\)
\(194\) 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 \(-0.885319\pi\)
0.935798 0.352537i \(-0.114681\pi\)
\(198\) 8.78675 + 12.2976i 0.624447 + 0.873952i
\(199\) −11.0687 + 22.9844i −0.784638 + 1.62932i −0.00751350 + 0.999972i \(0.502392\pi\)
−0.777125 + 0.629346i \(0.783323\pi\)
\(200\) −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 −0.972739 0.231901i \(-0.925505\pi\)
0.870801 + 0.491635i \(0.163601\pi\)
\(212\) −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 0.742154 + 0.670230i \(0.233804\pi\)
−0.990750 + 0.135700i \(0.956672\pi\)
\(224\) 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 −0.380494 0.924783i \(-0.624246\pi\)
0.991133 0.132874i \(-0.0424205\pi\)
\(228\) 0.339366 3.34195i 0.0224750 0.221326i
\(229\) 12.0971 17.7432i 0.799398 1.17250i −0.182521 0.983202i \(-0.558426\pi\)
0.981919 0.189300i \(-0.0606218\pi\)
\(230\) 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 0.561092 0.827754i \(-0.310382\pi\)
0.146377 + 0.989229i \(0.453239\pi\)
\(234\) −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 −0.990434 0.137986i \(-0.955937\pi\)
0.490294 + 0.871557i \(0.336889\pi\)
\(240\) −3.62040 4.11456i −0.233696 0.265594i
\(241\) 6.09683 19.7654i 0.392731 1.27320i −0.516276 0.856422i \(-0.672682\pi\)
0.909007 0.416781i \(-0.136842\pi\)
\(242\) −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 −0.267291 0.963616i \(-0.586129\pi\)
0.586732 + 0.809781i \(0.300414\pi\)
\(252\) 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 −0.688944 0.724814i \(-0.741926\pi\)
−0.160930 + 0.986966i \(0.551449\pi\)
\(258\) 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 0.998106 + 0.0615222i \(0.0195955\pi\)
0.552333 + 0.833624i \(0.313738\pi\)
\(264\) −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 0.835547 0.549419i \(-0.185151\pi\)
−0.721570 + 0.692341i \(0.756579\pi\)
\(270\) −4.75214 2.77161i −0.289206 0.168675i
\(271\) 16.1036 3.67555i 0.978227 0.223274i 0.296622 0.954995i \(-0.404140\pi\)
0.681604 + 0.731721i \(0.261283\pi\)
\(272\) 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 0.399157 0.916882i \(-0.369303\pi\)
−0.884490 + 0.466560i \(0.845493\pi\)
\(278\) 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 −0.546678 0.837343i \(-0.684108\pi\)
0.168794 + 0.985651i \(0.446013\pi\)
\(282\) −1.37316 + 13.5224i −0.0817706 + 0.805248i
\(283\) −4.55792 + 30.2399i −0.270941 + 1.79757i 0.276803 + 0.960927i \(0.410725\pi\)
−0.547744 + 0.836646i \(0.684513\pi\)
\(284\) −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 0.886937 0.461889i \(-0.152828\pi\)
−0.843477 + 0.537166i \(0.819495\pi\)
\(294\) −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 −0.0491310 0.998792i \(-0.515645\pi\)
−0.984683 + 0.174353i \(0.944217\pi\)
\(308\) −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 −0.219084 0.975706i \(-0.570307\pi\)
0.368619 + 0.929580i \(0.379831\pi\)
\(312\) −1.29764 10.4795i −0.0734642 0.593284i
\(313\) −22.8582 13.1972i −1.29202 0.745948i −0.313008 0.949751i \(-0.601337\pi\)
−0.979012 + 0.203803i \(0.934670\pi\)
\(314\) −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 0.518589 + 0.855024i \(0.326458\pi\)
−0.910130 + 0.414322i \(0.864019\pi\)
\(318\) −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 0.835116 0.550074i \(-0.185400\pi\)
−0.486127 + 0.873888i \(0.661591\pi\)
\(332\) −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 0.598419 0.801183i \(-0.295796\pi\)
−0.527173 + 0.849758i \(0.676748\pi\)
\(338\) 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 0.809123 0.587640i \(-0.199943\pi\)
−0.646462 + 0.762946i \(0.723752\pi\)
\(348\) −1.13788 + 1.00122i −0.0609965 + 0.0536708i
\(349\) −22.3017 1.67128i −1.19378 0.0894617i −0.537028 0.843565i \(-0.680453\pi\)
−0.656756 + 0.754103i \(0.728072\pi\)
\(350\) −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 −0.992847 0.119397i \(-0.961904\pi\)
0.999553 + 0.0299131i \(0.00952306\pi\)
\(354\) −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 −0.977152 0.212543i \(-0.931825\pi\)
0.443071 0.896486i \(-0.353889\pi\)
\(360\) 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 −0.977297 0.211873i \(-0.932044\pi\)
0.871428 0.490523i \(-0.163194\pi\)
\(368\) 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 0.645032 0.764156i \(-0.276844\pi\)
−0.984294 + 0.176536i \(0.943511\pi\)
\(374\) −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 −0.585134 0.810937i \(-0.698958\pi\)
0.920809 + 0.390013i \(0.127529\pi\)
\(380\) 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 −0.600932 0.799300i \(-0.705204\pi\)
0.984176 0.177191i \(-0.0567012\pi\)
\(384\) −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 0.609801 0.792555i \(-0.291249\pi\)
−0.960554 + 0.278095i \(0.910297\pi\)
\(390\) −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 0.358698 + 0.933454i \(0.383221\pi\)
−0.953448 + 0.301558i \(0.902493\pi\)
\(398\) −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 0.755067 0.655647i \(-0.227604\pi\)
0.107550 + 0.994200i \(0.465699\pi\)
\(402\) −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 0.856706 0.515805i \(-0.172507\pi\)
−0.998407 + 0.0564212i \(0.982031\pi\)
\(410\) −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 −0.982739 0.184999i \(-0.940772\pi\)
0.111041 + 0.993816i \(0.464581\pi\)
\(420\) 1.79128 + 1.01557i 0.0874057 + 0.0495546i
\(421\) −21.7179 20.1513i −1.05847 0.982112i −0.0585962 0.998282i \(-0.518662\pi\)
−0.999869 + 0.0161694i \(0.994853\pi\)
\(422\) 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 −0.875307 0.483567i \(-0.839341\pi\)
0.167677 0.985842i \(-0.446373\pi\)
\(432\) −12.6545 22.1428i −0.608841 1.06534i
\(433\) −0.0617456 + 0.128216i −0.00296731 + 0.00616167i −0.902447 0.430800i \(-0.858231\pi\)
0.899480 + 0.436962i \(0.143946\pi\)
\(434\) 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 −0.668734 0.743501i \(-0.733164\pi\)
0.0154925 + 0.999880i \(0.495068\pi\)
\(440\) −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 −0.709004 0.705204i \(-0.750855\pi\)
−0.0400759 + 0.999197i \(0.512760\pi\)
\(444\) 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 −0.938627 0.344933i \(-0.887902\pi\)
0.854904 + 0.518786i \(0.173616\pi\)
\(450\) 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 0.902023 + 0.431688i \(0.142082\pi\)
−0.956288 + 0.292427i \(0.905537\pi\)
\(458\) 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 0.476592 0.879125i \(-0.341872\pi\)
−0.841051 + 0.540956i \(0.818062\pi\)
\(462\) 12.8556 19.1769i 0.598098 0.892190i
\(463\) 9.24393 8.57712i 0.429602 0.398612i −0.435516 0.900181i \(-0.643434\pi\)
0.865118 + 0.501569i \(0.167244\pi\)
\(464\) −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 0.992036 + 0.125954i \(0.0401992\pi\)
−0.839144 + 0.543909i \(0.816944\pi\)
\(468\) −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 −0.988414 0.151781i \(-0.951499\pi\)
0.621321 0.783556i \(-0.286596\pi\)
\(480\) −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 0.816062 0.577965i \(-0.196153\pi\)
0.0569347 + 0.998378i \(0.481867\pi\)
\(488\) 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 −0.477379 0.878698i \(-0.658413\pi\)
0.522285 + 0.852771i \(0.325080\pi\)
\(492\) −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 −0.999967 0.00814324i \(-0.997408\pi\)
0.738566 + 0.674181i \(0.235503\pi\)
\(500\) 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 0.0882016 0.996103i \(-0.471888\pi\)
0.951502 0.307644i \(-0.0995406\pi\)
\(504\) −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 0.525165 0.851000i \(-0.324003\pi\)
−0.999570 + 0.0293065i \(0.990670\pi\)
\(510\) 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 0.968925 0.247353i \(-0.0795609\pi\)
−0.797504 + 0.603314i \(0.793847\pi\)
\(524\) 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 −0.887656 0.460507i \(-0.847668\pi\)
0.646483 + 0.762928i \(0.276239\pi\)
\(542\) 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 −0.0803473 0.996767i \(-0.525603\pi\)
0.898510 + 0.438953i \(0.144651\pi\)
\(548\) −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 \(0.308382\pi\)
−0.566279 + 0.824214i \(0.691618\pi\)
\(558\) −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 −0.690639 0.723200i \(-0.742671\pi\)
0.998175 0.0603892i \(-0.0192342\pi\)
\(564\) 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 0.0746672 0.997209i \(-0.476211\pi\)
−0.826274 + 0.563268i \(0.809544\pi\)
\(570\) 4.69891 + 1.98888i 0.196816 + 0.0833050i
\(571\) 17.5528 5.41431i 0.734561 0.226582i 0.0951669 0.995461i \(-0.469662\pi\)
0.639394 + 0.768879i \(0.279185\pi\)
\(572\) 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 0.628232 0.778026i \(-0.283779\pi\)
−0.618725 + 0.785608i \(0.712350\pi\)
\(578\) 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 −0.998445 0.0557393i \(-0.982248\pi\)
0.547494 + 0.836809i \(0.315582\pi\)
\(588\) −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 0.936625 0.350334i \(-0.113932\pi\)
0.310074 + 0.950712i \(0.399646\pi\)
\(594\) −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 0.561728 + 0.827322i \(0.310137\pi\)
−0.780630 + 0.624994i \(0.785101\pi\)
\(600\) −15.4979 + 6.96558i −0.632700 + 0.284369i
\(601\) −1.17533 + 0.461283i −0.0479427 + 0.0188161i −0.389191 0.921157i \(-0.627245\pi\)
0.341249 + 0.939973i \(0.389150\pi\)
\(602\) −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 −0.797690 0.603068i \(-0.793945\pi\)
0.123427 + 0.992354i \(0.460612\pi\)
\(608\) 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 −0.980397 0.197034i \(-0.936869\pi\)
0.0260652 0.999660i \(-0.491702\pi\)
\(614\) −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 0.951431 0.307862i \(-0.0996135\pi\)
−0.959534 + 0.281593i \(0.909137\pi\)
\(618\) 36.7387 + 15.5502i 1.47785 + 0.625521i
\(619\) −32.7010 18.8799i −1.31436 0.758848i −0.331548 0.943438i \(-0.607571\pi\)
−0.982816 + 0.184590i \(0.940904\pi\)
\(620\) −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 0.241504 0.970400i \(-0.422359\pi\)
0.909265 + 0.416219i \(0.136645\pi\)
\(632\) 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 −0.998259 0.0589895i \(-0.981212\pi\)
0.858030 + 0.513600i \(0.171688\pi\)
\(642\) −20.8124 + 4.17555i −0.821400 + 0.164796i
\(643\) −3.19635 + 4.68819i −0.126052 + 0.184884i −0.884077 0.467341i \(-0.845212\pi\)
0.758025 + 0.652225i \(0.226164\pi\)
\(644\) −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 0.460098 0.887868i \(-0.347814\pi\)
0.981030 + 0.193858i \(0.0621000\pi\)
\(648\) 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 −0.354939 0.934890i \(-0.615498\pi\)
0.999938 0.0111505i \(-0.00354937\pi\)
\(654\) −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 −0.873391 0.487020i \(-0.838084\pi\)
0.995978 + 0.0896036i \(0.0285600\pi\)
\(660\) 0.813312 + 2.24480i 0.0316581 + 0.0873786i
\(661\) 20.3227 + 7.97608i 0.790462 + 0.310233i 0.726007 0.687687i \(-0.241374\pi\)
0.0644548 + 0.997921i \(0.479469\pi\)
\(662\) 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 0.916274 + 0.400552i \(0.131182\pi\)
−0.399232 + 0.916850i \(0.630723\pi\)
\(674\) 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 0.534113 0.845413i \(-0.320646\pi\)
0.759574 + 0.650421i \(0.225408\pi\)
\(678\) 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 −0.886087 0.463519i \(-0.846586\pi\)
0.914860 + 0.403771i \(0.132301\pi\)
\(684\) 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 0.996382 + 0.0849909i \(0.0270861\pi\)
−0.284903 + 0.958556i \(0.591961\pi\)
\(692\) −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 −0.960510 0.278246i \(-0.910247\pi\)
0.0575359 + 0.998343i \(0.481676\pi\)
\(702\) −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 0.319262 0.947666i \(-0.396565\pi\)
−0.270053 + 0.962846i \(0.587041\pi\)
\(710\) −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 −0.410610 0.911811i \(-0.634684\pi\)
0.456871 + 0.889533i \(0.348970\pi\)
\(720\) 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 0.940488 + 0.339828i \(0.110369\pi\)
−0.0272620 + 0.999628i \(0.508679\pi\)
\(728\) −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 −0.446668 0.894700i \(-0.647389\pi\)
0.690541 0.723293i \(-0.257372\pi\)
\(734\) −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 0.560249 + 0.828324i \(0.310705\pi\)
−0.145371 + 0.989377i \(0.546438\pi\)
\(740\) 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 −0.227569 0.973762i \(-0.573078\pi\)
−0.0798953 + 0.996803i \(0.525459\pi\)
\(744\) 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 0.647885 0.761739i \(-0.275654\pi\)
−0.472384 + 0.881393i \(0.656606\pi\)
\(752\) −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 0.968791 0.247878i \(-0.0797333\pi\)
−0.980401 + 0.197012i \(0.936876\pi\)
\(758\) 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 −0.340668 0.940184i \(-0.610653\pi\)
0.912096 + 0.409976i \(0.134463\pi\)
\(762\) 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 0.121532 0.992588i \(-0.461219\pi\)
−0.586042 + 0.810281i \(0.699315\pi\)
\(770\) 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