Properties

Label 690.2.w.b.7.5
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.b.493.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.87213 - 1.22275i) q^{5} +(0.142315 - 0.989821i) q^{6} +(-0.241465 + 0.442209i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.87213 - 1.22275i) q^{5} +(0.142315 - 0.989821i) q^{6} +(-0.241465 + 0.442209i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(-1.78013 + 1.35319i) q^{10} +(-2.96829 + 2.57204i) q^{11} +(-0.0713392 + 0.997452i) q^{12} +(2.26631 - 1.23750i) q^{13} +(0.209303 - 0.458309i) q^{14} +(0.796854 + 2.08926i) q^{15} +(0.959493 - 0.281733i) q^{16} +(3.95473 + 5.28290i) q^{17} +(0.936950 + 0.349464i) q^{18} +(0.338772 + 2.35621i) q^{19} +(1.67906 - 1.47674i) q^{20} +(-0.380777 - 0.329945i) q^{21} +(2.77724 - 2.77724i) q^{22} +(4.76706 + 0.524497i) q^{23} -1.00000i q^{24} +(2.00977 - 4.57830i) q^{25} +(-2.17225 + 1.39602i) q^{26} +(0.599278 - 0.800541i) q^{27} +(-0.176074 + 0.472072i) q^{28} +(-10.1070 - 1.45317i) q^{29} +(-0.943870 - 2.02709i) q^{30} +(8.71381 + 5.60002i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(-1.88230 - 3.44718i) q^{33} +(-4.32153 - 4.98731i) q^{34} +(0.0886568 + 1.12313i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-2.77787 - 7.44776i) q^{37} +(-0.505999 - 2.32604i) q^{38} +(0.727480 + 2.47757i) q^{39} +(-1.56944 + 1.59276i) q^{40} +(-0.135612 - 0.296948i) q^{41} +(0.403344 + 0.301940i) q^{42} +(11.1698 + 2.42984i) q^{43} +(-2.57204 + 2.96829i) q^{44} +(-2.21090 + 0.334539i) q^{45} +(-4.79234 - 0.183083i) q^{46} +(1.49956 + 1.49956i) q^{47} +(0.0713392 + 0.997452i) q^{48} +(3.64724 + 5.67522i) q^{49} +(-1.67804 + 4.71001i) q^{50} +(-6.00280 + 2.74139i) q^{51} +(2.06713 - 1.54743i) q^{52} +(5.54089 + 3.02556i) q^{53} +(-0.540641 + 0.841254i) q^{54} +(-2.41208 + 8.44467i) q^{55} +(0.141948 - 0.483431i) q^{56} +(-2.37438 - 0.169819i) q^{57} +(10.1849 + 0.728439i) q^{58} +(-1.90896 + 6.50131i) q^{59} +(1.08608 + 1.95459i) q^{60} +(-0.289132 + 0.449898i) q^{61} +(-9.09110 - 4.96412i) q^{62} +(0.403344 - 0.301940i) q^{63} +(0.909632 - 0.415415i) q^{64} +(2.72969 - 5.08789i) q^{65} +(2.12343 + 3.30412i) q^{66} +(0.180616 + 2.52534i) q^{67} +(4.66631 + 4.66631i) q^{68} +(-1.52582 + 4.54663i) q^{69} +(-0.168554 - 1.11394i) q^{70} +(1.17051 - 1.35084i) q^{71} +(0.977147 + 0.212565i) q^{72} +(9.28276 + 6.94898i) q^{73} +(3.30211 + 7.23061i) q^{74} +(4.04646 + 2.93703i) q^{75} +(0.670648 + 2.28402i) q^{76} +(-0.420642 - 1.93366i) q^{77} +(-0.902374 - 2.41936i) q^{78} +(-11.1714 - 3.28021i) q^{79} +(1.45181 - 1.70066i) q^{80} +(0.654861 + 0.755750i) q^{81} +(0.156450 + 0.286517i) q^{82} +(-16.9842 + 6.33478i) q^{83} +(-0.423857 - 0.272396i) q^{84} +(13.8634 + 5.05465i) q^{85} +(-11.3147 - 1.62680i) q^{86} +(3.56835 - 9.56712i) q^{87} +(2.35373 - 3.14421i) q^{88} +(-8.76768 + 5.63465i) q^{89} +(2.18140 - 0.491410i) q^{90} +1.30100i q^{91} +(4.79319 - 0.159265i) q^{92} +(-7.32430 + 7.32430i) q^{93} +(-1.60271 - 1.38876i) q^{94} +(3.51528 + 3.99691i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(4.85650 + 1.81138i) q^{97} +(-4.04281 - 5.40057i) q^{98} +(3.76851 - 1.10654i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{6} + O(q^{10}) \) \( 240 q + 24 q^{6} - 44 q^{10} + 24 q^{16} - 44 q^{21} + 96 q^{23} + 16 q^{25} + 16 q^{26} + 44 q^{28} - 16 q^{31} + 44 q^{33} + 16 q^{35} - 24 q^{36} + 44 q^{37} - 88 q^{43} + 8 q^{46} + 96 q^{47} - 24 q^{50} - 24 q^{55} + 44 q^{57} - 16 q^{58} + 88 q^{61} + 56 q^{62} - 88 q^{65} + 132 q^{67} - 56 q^{70} + 16 q^{71} + 48 q^{73} + 24 q^{81} - 24 q^{82} + 44 q^{85} - 16 q^{87} + 44 q^{88} - 124 q^{92} + 32 q^{93} + 20 q^{95} - 24 q^{96} - 56 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997452 + 0.0713392i −0.705305 + 0.0504444i
\(3\) −0.212565 + 0.977147i −0.122725 + 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) 1.87213 1.22275i 0.837244 0.546830i
\(6\) 0.142315 0.989821i 0.0580998 0.404093i
\(7\) −0.241465 + 0.442209i −0.0912651 + 0.167139i −0.919324 0.393502i \(-0.871264\pi\)
0.828059 + 0.560641i \(0.189445\pi\)
\(8\) −0.977147 + 0.212565i −0.345474 + 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) −1.78013 + 1.35319i −0.562928 + 0.427916i
\(11\) −2.96829 + 2.57204i −0.894973 + 0.775498i −0.975211 0.221277i \(-0.928977\pi\)
0.0802380 + 0.996776i \(0.474432\pi\)
\(12\) −0.0713392 + 0.997452i −0.0205938 + 0.287940i
\(13\) 2.26631 1.23750i 0.628562 0.343221i −0.133189 0.991091i \(-0.542522\pi\)
0.761751 + 0.647870i \(0.224340\pi\)
\(14\) 0.209303 0.458309i 0.0559385 0.122488i
\(15\) 0.796854 + 2.08926i 0.205747 + 0.539446i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) 3.95473 + 5.28290i 0.959162 + 1.28129i 0.959623 + 0.281290i \(0.0907624\pi\)
−0.000460733 1.00000i \(0.500147\pi\)
\(18\) 0.936950 + 0.349464i 0.220841 + 0.0823695i
\(19\) 0.338772 + 2.35621i 0.0777197 + 0.540552i 0.991066 + 0.133369i \(0.0425797\pi\)
−0.913347 + 0.407183i \(0.866511\pi\)
\(20\) 1.67906 1.47674i 0.375450 0.330208i
\(21\) −0.380777 0.329945i −0.0830923 0.0719999i
\(22\) 2.77724 2.77724i 0.592109 0.592109i
\(23\) 4.76706 + 0.524497i 0.994002 + 0.109365i
\(24\) 1.00000i 0.204124i
\(25\) 2.00977 4.57830i 0.401954 0.915660i
\(26\) −2.17225 + 1.39602i −0.426014 + 0.273783i
\(27\) 0.599278 0.800541i 0.115331 0.154064i
\(28\) −0.176074 + 0.472072i −0.0332748 + 0.0892133i
\(29\) −10.1070 1.45317i −1.87682 0.269846i −0.893141 0.449776i \(-0.851504\pi\)
−0.983679 + 0.179930i \(0.942413\pi\)
\(30\) −0.943870 2.02709i −0.172326 0.370095i
\(31\) 8.71381 + 5.60002i 1.56505 + 1.00579i 0.980985 + 0.194084i \(0.0621734\pi\)
0.584061 + 0.811710i \(0.301463\pi\)
\(32\) −0.936950 + 0.349464i −0.165631 + 0.0617771i
\(33\) −1.88230 3.44718i −0.327667 0.600077i
\(34\) −4.32153 4.98731i −0.741136 0.855316i
\(35\) 0.0886568 + 1.12313i 0.0149857 + 0.189843i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) −2.77787 7.44776i −0.456679 1.22440i −0.937623 0.347653i \(-0.886979\pi\)
0.480944 0.876751i \(-0.340294\pi\)
\(38\) −0.505999 2.32604i −0.0820839 0.377334i
\(39\) 0.727480 + 2.47757i 0.116490 + 0.396728i
\(40\) −1.56944 + 1.59276i −0.248150 + 0.251837i
\(41\) −0.135612 0.296948i −0.0211790 0.0463755i 0.898747 0.438468i \(-0.144479\pi\)
−0.919926 + 0.392092i \(0.871751\pi\)
\(42\) 0.403344 + 0.301940i 0.0622374 + 0.0465903i
\(43\) 11.1698 + 2.42984i 1.70338 + 0.370547i 0.955889 0.293728i \(-0.0948959\pi\)
0.747488 + 0.664275i \(0.231260\pi\)
\(44\) −2.57204 + 2.96829i −0.387749 + 0.447486i
\(45\) −2.21090 + 0.334539i −0.329582 + 0.0498701i
\(46\) −4.79234 0.183083i −0.706591 0.0269941i
\(47\) 1.49956 + 1.49956i 0.218733 + 0.218733i 0.807964 0.589232i \(-0.200569\pi\)
−0.589232 + 0.807964i \(0.700569\pi\)
\(48\) 0.0713392 + 0.997452i 0.0102969 + 0.143970i
\(49\) 3.64724 + 5.67522i 0.521035 + 0.810746i
\(50\) −1.67804 + 4.71001i −0.237311 + 0.666096i
\(51\) −6.00280 + 2.74139i −0.840560 + 0.383871i
\(52\) 2.06713 1.54743i 0.286659 0.214590i
\(53\) 5.54089 + 3.02556i 0.761100 + 0.415592i 0.812407 0.583091i \(-0.198157\pi\)
−0.0513067 + 0.998683i \(0.516339\pi\)
\(54\) −0.540641 + 0.841254i −0.0735719 + 0.114480i
\(55\) −2.41208 + 8.44467i −0.325245 + 1.13868i
\(56\) 0.141948 0.483431i 0.0189686 0.0646011i
\(57\) −2.37438 0.169819i −0.314494 0.0224930i
\(58\) 10.1849 + 0.728439i 1.33734 + 0.0956487i
\(59\) −1.90896 + 6.50131i −0.248525 + 0.846398i 0.736858 + 0.676047i \(0.236308\pi\)
−0.985383 + 0.170351i \(0.945510\pi\)
\(60\) 1.08608 + 1.95459i 0.140212 + 0.252337i
\(61\) −0.289132 + 0.449898i −0.0370195 + 0.0576035i −0.859270 0.511522i \(-0.829082\pi\)
0.822251 + 0.569126i \(0.192718\pi\)
\(62\) −9.09110 4.96412i −1.15457 0.630444i
\(63\) 0.403344 0.301940i 0.0508166 0.0380408i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 2.72969 5.08789i 0.338576 0.631076i
\(66\) 2.12343 + 3.30412i 0.261376 + 0.406709i
\(67\) 0.180616 + 2.52534i 0.0220658 + 0.308520i 0.996484 + 0.0837789i \(0.0266989\pi\)
−0.974419 + 0.224741i \(0.927847\pi\)
\(68\) 4.66631 + 4.66631i 0.565873 + 0.565873i
\(69\) −1.52582 + 4.54663i −0.183688 + 0.547350i
\(70\) −0.168554 1.11394i −0.0201460 0.133141i
\(71\) 1.17051 1.35084i 0.138914 0.160316i −0.682029 0.731325i \(-0.738902\pi\)
0.820944 + 0.571009i \(0.193448\pi\)
\(72\) 0.977147 + 0.212565i 0.115158 + 0.0250511i
\(73\) 9.28276 + 6.94898i 1.08646 + 0.813317i 0.983417 0.181359i \(-0.0580497\pi\)
0.103047 + 0.994676i \(0.467141\pi\)
\(74\) 3.30211 + 7.23061i 0.383863 + 0.840542i
\(75\) 4.04646 + 2.93703i 0.467245 + 0.339139i
\(76\) 0.670648 + 2.28402i 0.0769286 + 0.261995i
\(77\) −0.420642 1.93366i −0.0479367 0.220361i
\(78\) −0.902374 2.41936i −0.102174 0.273938i
\(79\) −11.1714 3.28021i −1.25688 0.369052i −0.415546 0.909572i \(-0.636409\pi\)
−0.841331 + 0.540520i \(0.818228\pi\)
\(80\) 1.45181 1.70066i 0.162317 0.190140i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) 0.156450 + 0.286517i 0.0172770 + 0.0316405i
\(83\) −16.9842 + 6.33478i −1.86426 + 0.695332i −0.896723 + 0.442593i \(0.854059\pi\)
−0.967534 + 0.252739i \(0.918669\pi\)
\(84\) −0.423857 0.272396i −0.0462466 0.0297209i
\(85\) 13.8634 + 5.05465i 1.50370 + 0.548254i
\(86\) −11.3147 1.62680i −1.22009 0.175423i
\(87\) 3.56835 9.56712i 0.382567 1.02570i
\(88\) 2.35373 3.14421i 0.250908 0.335174i
\(89\) −8.76768 + 5.63465i −0.929372 + 0.597271i −0.915363 0.402630i \(-0.868096\pi\)
−0.0140098 + 0.999902i \(0.504460\pi\)
\(90\) 2.18140 0.491410i 0.229940 0.0517992i
\(91\) 1.30100i 0.136382i
\(92\) 4.79319 0.159265i 0.499724 0.0166045i
\(93\) −7.32430 + 7.32430i −0.759494 + 0.759494i
\(94\) −1.60271 1.38876i −0.165307 0.143239i
\(95\) 3.51528 + 3.99691i 0.360660 + 0.410075i
\(96\) −0.142315 0.989821i −0.0145249 0.101023i
\(97\) 4.85650 + 1.81138i 0.493103 + 0.183918i 0.583699 0.811970i \(-0.301605\pi\)
−0.0905967 + 0.995888i \(0.528877\pi\)
\(98\) −4.04281 5.40057i −0.408386 0.545540i
\(99\) 3.76851 1.10654i 0.378750 0.111211i
\(100\) 1.33776 4.81772i 0.133776 0.481772i
\(101\) 4.69200 10.2740i 0.466871 1.02231i −0.518996 0.854777i \(-0.673694\pi\)
0.985867 0.167529i \(-0.0535786\pi\)
\(102\) 5.79194 3.16264i 0.573487 0.313148i
\(103\) 0.272344 3.80786i 0.0268348 0.375200i −0.966234 0.257666i \(-0.917047\pi\)
0.993069 0.117534i \(-0.0374989\pi\)
\(104\) −1.95147 + 1.69096i −0.191357 + 0.165812i
\(105\) −1.11630 0.152107i −0.108940 0.0148441i
\(106\) −5.74262 2.62257i −0.557772 0.254726i
\(107\) −2.44464 + 0.531798i −0.236332 + 0.0514108i −0.329171 0.944270i \(-0.606769\pi\)
0.0928394 + 0.995681i \(0.470406\pi\)
\(108\) 0.479249 0.877679i 0.0461158 0.0844547i
\(109\) 2.78346 19.3594i 0.266607 1.85429i −0.213319 0.976983i \(-0.568428\pi\)
0.479926 0.877309i \(-0.340663\pi\)
\(110\) 1.80350 8.59523i 0.171957 0.819523i
\(111\) 7.86804 1.13125i 0.746801 0.107374i
\(112\) −0.107099 + 0.492325i −0.0101199 + 0.0465204i
\(113\) −7.70000 + 0.550715i −0.724355 + 0.0518069i −0.428648 0.903472i \(-0.641010\pi\)
−0.295708 + 0.955279i \(0.595555\pi\)
\(114\) 2.38044 0.222949
\(115\) 9.56591 4.84699i 0.892026 0.451984i
\(116\) −10.2109 −0.948060
\(117\) −2.57559 + 0.184210i −0.238113 + 0.0170302i
\(118\) 1.44029 6.62093i 0.132590 0.609506i
\(119\) −3.29107 + 0.473185i −0.301692 + 0.0433768i
\(120\) −1.22275 1.87213i −0.111621 0.170902i
\(121\) 0.629902 4.38107i 0.0572639 0.398279i
\(122\) 0.256300 0.469378i 0.0232043 0.0424955i
\(123\) 0.318988 0.0693916i 0.0287622 0.00625683i
\(124\) 9.42208 + 4.30292i 0.846128 + 0.386414i
\(125\) −1.83554 11.0286i −0.164176 0.986431i
\(126\) −0.380777 + 0.329945i −0.0339223 + 0.0293938i
\(127\) 1.31112 18.3319i 0.116343 1.62669i −0.519219 0.854641i \(-0.673777\pi\)
0.635562 0.772050i \(-0.280768\pi\)
\(128\) −0.877679 + 0.479249i −0.0775766 + 0.0423600i
\(129\) −4.74862 + 10.3980i −0.418093 + 0.915495i
\(130\) −2.35977 + 5.26966i −0.206965 + 0.462180i
\(131\) 7.42203 2.17930i 0.648466 0.190407i 0.0590733 0.998254i \(-0.481185\pi\)
0.589392 + 0.807847i \(0.299367\pi\)
\(132\) −2.35373 3.14421i −0.204866 0.273669i
\(133\) −1.12374 0.419134i −0.0974407 0.0363435i
\(134\) −0.360312 2.50602i −0.0311262 0.216487i
\(135\) 0.143068 2.23149i 0.0123133 0.192056i
\(136\) −4.98731 4.32153i −0.427658 0.370568i
\(137\) 12.1207 12.1207i 1.03554 1.03554i 0.0362004 0.999345i \(-0.488475\pi\)
0.999345 0.0362004i \(-0.0115255\pi\)
\(138\) 1.19758 4.64390i 0.101945 0.395315i
\(139\) 13.4237i 1.13859i 0.822134 + 0.569294i \(0.192783\pi\)
−0.822134 + 0.569294i \(0.807217\pi\)
\(140\) 0.247592 + 1.09908i 0.0209253 + 0.0928890i
\(141\) −1.78404 + 1.14653i −0.150243 + 0.0965554i
\(142\) −1.07116 + 1.43091i −0.0898899 + 0.120079i
\(143\) −3.54417 + 9.50230i −0.296379 + 0.794622i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −20.6985 + 9.63779i −1.71892 + 0.800375i
\(146\) −9.75484 6.26905i −0.807316 0.518831i
\(147\) −6.32080 + 2.35754i −0.521331 + 0.194446i
\(148\) −3.80952 6.97662i −0.313141 0.573475i
\(149\) 0.403750 + 0.465952i 0.0330765 + 0.0381723i 0.772047 0.635566i \(-0.219233\pi\)
−0.738970 + 0.673738i \(0.764688\pi\)
\(150\) −4.24568 2.64088i −0.346658 0.215627i
\(151\) −21.8306 6.41003i −1.77655 0.521641i −0.781755 0.623585i \(-0.785675\pi\)
−0.994790 + 0.101944i \(0.967494\pi\)
\(152\) −0.831879 2.23035i −0.0674743 0.180906i
\(153\) −1.40275 6.44834i −0.113406 0.521318i
\(154\) 0.557517 + 1.89873i 0.0449260 + 0.153004i
\(155\) 23.1608 0.170799i 1.86032 0.0137189i
\(156\) 1.07267 + 2.34882i 0.0858823 + 0.188056i
\(157\) −8.39737 6.28619i −0.670183 0.501693i 0.209160 0.977881i \(-0.432927\pi\)
−0.879343 + 0.476189i \(0.842018\pi\)
\(158\) 11.3769 + 2.47490i 0.905098 + 0.196892i
\(159\) −4.13422 + 4.77114i −0.327865 + 0.378376i
\(160\) −1.32679 + 1.79990i −0.104892 + 0.142294i
\(161\) −1.38302 + 1.98139i −0.108997 + 0.156156i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 0.0270692 + 0.378477i 0.00212022 + 0.0296446i 0.998402 0.0565090i \(-0.0179970\pi\)
−0.996282 + 0.0861536i \(0.972542\pi\)
\(164\) −0.176491 0.274626i −0.0137817 0.0214447i
\(165\) −7.73896 4.15200i −0.602477 0.323233i
\(166\) 16.4890 7.53027i 1.27979 0.584463i
\(167\) 6.32821 4.73724i 0.489691 0.366578i −0.325714 0.945468i \(-0.605605\pi\)
0.815406 + 0.578890i \(0.196514\pi\)
\(168\) 0.442209 + 0.241465i 0.0341172 + 0.0186294i
\(169\) −3.42357 + 5.32718i −0.263351 + 0.409783i
\(170\) −14.1887 4.05277i −1.08822 0.310833i
\(171\) 0.670648 2.28402i 0.0512857 0.174663i
\(172\) 11.4019 + 0.815480i 0.869387 + 0.0621798i
\(173\) −7.03476 0.503136i −0.534843 0.0382527i −0.198694 0.980062i \(-0.563670\pi\)
−0.336149 + 0.941809i \(0.609124\pi\)
\(174\) −2.87675 + 9.79731i −0.218086 + 0.742732i
\(175\) 1.53928 + 1.99424i 0.116358 + 0.150750i
\(176\) −2.12343 + 3.30412i −0.160059 + 0.249057i
\(177\) −5.94696 3.24728i −0.447001 0.244081i
\(178\) 8.34337 6.24577i 0.625362 0.468140i
\(179\) 22.7971 10.4111i 1.70394 0.778161i 0.706414 0.707799i \(-0.250312\pi\)
0.997522 0.0703620i \(-0.0224155\pi\)
\(180\) −2.14079 + 0.645777i −0.159565 + 0.0481334i
\(181\) −5.89904 9.17908i −0.438472 0.682276i 0.549746 0.835332i \(-0.314725\pi\)
−0.988217 + 0.153057i \(0.951088\pi\)
\(182\) −0.0928121 1.29768i −0.00687969 0.0961906i
\(183\) −0.378157 0.378157i −0.0279542 0.0279542i
\(184\) −4.76961 + 0.500801i −0.351620 + 0.0369196i
\(185\) −14.3073 10.5466i −1.05189 0.775399i
\(186\) 6.78313 7.82815i 0.497363 0.573987i
\(187\) −25.3266 5.50946i −1.85206 0.402892i
\(188\) 1.69770 + 1.27088i 0.123818 + 0.0926887i
\(189\) 0.209303 + 0.458309i 0.0152245 + 0.0333371i
\(190\) −3.79146 3.73595i −0.275062 0.271034i
\(191\) 0.0566860 + 0.193055i 0.00410165 + 0.0139689i 0.961518 0.274741i \(-0.0885920\pi\)
−0.957417 + 0.288710i \(0.906774\pi\)
\(192\) 0.212565 + 0.977147i 0.0153406 + 0.0705195i
\(193\) −5.62637 15.0849i −0.404995 1.08583i −0.966118 0.258101i \(-0.916903\pi\)
0.561123 0.827733i \(-0.310370\pi\)
\(194\) −4.97335 1.46031i −0.357065 0.104844i
\(195\) 4.39138 + 3.74882i 0.314473 + 0.268458i
\(196\) 4.41779 + 5.09840i 0.315556 + 0.364171i
\(197\) −0.381987 0.699557i −0.0272155 0.0498414i 0.863717 0.503976i \(-0.168130\pi\)
−0.890933 + 0.454135i \(0.849948\pi\)
\(198\) −3.67997 + 1.37256i −0.261524 + 0.0975435i
\(199\) 9.45687 + 6.07756i 0.670380 + 0.430827i 0.831062 0.556179i \(-0.187733\pi\)
−0.160683 + 0.987006i \(0.551370\pi\)
\(200\) −0.990655 + 4.90088i −0.0700499 + 0.346544i
\(201\) −2.50602 0.360312i −0.176761 0.0254144i
\(202\) −3.94710 + 10.5826i −0.277717 + 0.744588i
\(203\) 3.08308 4.11852i 0.216390 0.289063i
\(204\) −5.55156 + 3.56777i −0.388687 + 0.249794i
\(205\) −0.616975 0.390107i −0.0430914 0.0272463i
\(206\) 3.81759i 0.265984i
\(207\) −4.11839 2.45741i −0.286248 0.170802i
\(208\) 1.82587 1.82587i 0.126601 0.126601i
\(209\) −7.06584 6.12259i −0.488754 0.423508i
\(210\) 1.12431 + 0.0720831i 0.0775849 + 0.00497421i
\(211\) −1.16720 8.11806i −0.0803535 0.558871i −0.989736 0.142909i \(-0.954354\pi\)
0.909382 0.415961i \(-0.136555\pi\)
\(212\) 5.91508 + 2.20621i 0.406249 + 0.151523i
\(213\) 1.07116 + 1.43091i 0.0733948 + 0.0980440i
\(214\) 2.40047 0.704841i 0.164093 0.0481820i
\(215\) 23.8824 9.10886i 1.62877 0.621219i
\(216\) −0.415415 + 0.909632i −0.0282654 + 0.0618926i
\(217\) −4.58046 + 2.50112i −0.310942 + 0.169787i
\(218\) −1.39528 + 19.5086i −0.0945005 + 1.32129i
\(219\) −8.76337 + 7.59350i −0.592174 + 0.513121i
\(220\) −1.18573 + 8.70199i −0.0799417 + 0.586688i
\(221\) 15.5002 + 7.07871i 1.04266 + 0.476166i
\(222\) −7.76729 + 1.68967i −0.521306 + 0.113403i
\(223\) −1.42916 + 2.61731i −0.0957036 + 0.175268i −0.921145 0.389220i \(-0.872745\pi\)
0.825441 + 0.564488i \(0.190926\pi\)
\(224\) 0.0717039 0.498711i 0.00479092 0.0333216i
\(225\) −3.73005 + 3.32968i −0.248670 + 0.221978i
\(226\) 7.64110 1.09862i 0.508278 0.0730794i
\(227\) −3.89918 + 17.9242i −0.258798 + 1.18967i 0.645834 + 0.763478i \(0.276510\pi\)
−0.904631 + 0.426195i \(0.859854\pi\)
\(228\) −2.37438 + 0.169819i −0.157247 + 0.0112465i
\(229\) 10.1715 0.672150 0.336075 0.941835i \(-0.390900\pi\)
0.336075 + 0.941835i \(0.390900\pi\)
\(230\) −9.19576 + 5.51707i −0.606350 + 0.363785i
\(231\) 1.97889 0.130201
\(232\) 10.1849 0.728439i 0.668672 0.0478244i
\(233\) 0.420059 1.93098i 0.0275190 0.126503i −0.961338 0.275371i \(-0.911199\pi\)
0.988857 + 0.148868i \(0.0475630\pi\)
\(234\) 2.55588 0.367480i 0.167083 0.0240229i
\(235\) 4.64095 + 0.973789i 0.302742 + 0.0635230i
\(236\) −0.964293 + 6.70681i −0.0627702 + 0.436576i
\(237\) 5.57989 10.2188i 0.362453 0.663783i
\(238\) 3.24893 0.706762i 0.210597 0.0458126i
\(239\) −26.7763 12.2283i −1.73201 0.790984i −0.993112 0.117170i \(-0.962618\pi\)
−0.738901 0.673813i \(-0.764655\pi\)
\(240\) 1.35319 + 1.78013i 0.0873480 + 0.114907i
\(241\) −11.6043 + 10.0551i −0.747495 + 0.647709i −0.942923 0.333010i \(-0.891936\pi\)
0.195428 + 0.980718i \(0.437390\pi\)
\(242\) −0.315756 + 4.41484i −0.0202975 + 0.283797i
\(243\) −0.877679 + 0.479249i −0.0563031 + 0.0307438i
\(244\) −0.222162 + 0.486466i −0.0142224 + 0.0311428i
\(245\) 13.7675 + 6.16511i 0.879573 + 0.393875i
\(246\) −0.313225 + 0.0919711i −0.0199705 + 0.00586386i
\(247\) 3.68358 + 4.92068i 0.234380 + 0.313095i
\(248\) −9.70504 3.61979i −0.616271 0.229857i
\(249\) −2.57976 17.9426i −0.163485 1.13707i
\(250\) 2.61764 + 10.8696i 0.165554 + 0.687453i
\(251\) −17.8394 15.4579i −1.12601 0.975693i −0.126143 0.992012i \(-0.540260\pi\)
−0.999867 + 0.0163187i \(0.994805\pi\)
\(252\) 0.356268 0.356268i 0.0224428 0.0224428i
\(253\) −15.4991 + 10.7042i −0.974417 + 0.672968i
\(254\) 18.3787i 1.15318i
\(255\) −7.88602 + 12.4722i −0.493842 + 0.781037i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 12.1985 16.2953i 0.760920 1.01647i −0.238057 0.971251i \(-0.576510\pi\)
0.998977 0.0452192i \(-0.0143986\pi\)
\(258\) 3.99473 10.7103i 0.248701 0.666794i
\(259\) 3.96423 + 0.569970i 0.246325 + 0.0354162i
\(260\) 1.97782 5.42458i 0.122659 0.336418i
\(261\) 8.58997 + 5.52044i 0.531706 + 0.341707i
\(262\) −7.24765 + 2.70323i −0.447761 + 0.167006i
\(263\) 6.03304 + 11.0487i 0.372013 + 0.681291i 0.994883 0.101034i \(-0.0322152\pi\)
−0.622870 + 0.782325i \(0.714033\pi\)
\(264\) 2.57204 + 2.96829i 0.158298 + 0.182686i
\(265\) 14.0728 1.11087i 0.864485 0.0682403i
\(266\) 1.15078 + 0.337899i 0.0705588 + 0.0207179i
\(267\) −3.64217 9.76504i −0.222897 0.597611i
\(268\) 0.538171 + 2.47393i 0.0328740 + 0.151119i
\(269\) 1.99449 + 6.79260i 0.121606 + 0.414152i 0.997684 0.0680171i \(-0.0216672\pi\)
−0.876078 + 0.482169i \(0.839849\pi\)
\(270\) 0.0164894 + 2.23601i 0.00100351 + 0.136079i
\(271\) −3.41079 7.46858i −0.207191 0.453684i 0.777298 0.629133i \(-0.216590\pi\)
−0.984489 + 0.175449i \(0.943862\pi\)
\(272\) 5.28290 + 3.95473i 0.320323 + 0.239790i
\(273\) −1.27127 0.276547i −0.0769405 0.0167374i
\(274\) −11.2252 + 12.9545i −0.678138 + 0.782613i
\(275\) 5.80997 + 18.7589i 0.350354 + 1.13121i
\(276\) −0.863240 + 4.71750i −0.0519609 + 0.283960i
\(277\) −12.4988 12.4988i −0.750978 0.750978i 0.223684 0.974662i \(-0.428192\pi\)
−0.974662 + 0.223684i \(0.928192\pi\)
\(278\) −0.957639 13.3895i −0.0574354 0.803051i
\(279\) −5.60002 8.71381i −0.335265 0.521682i
\(280\) −0.325368 1.07861i −0.0194445 0.0644595i
\(281\) 13.7129 6.26247i 0.818043 0.373588i 0.0379720 0.999279i \(-0.487910\pi\)
0.780071 + 0.625691i \(0.215183\pi\)
\(282\) 1.69770 1.27088i 0.101097 0.0756800i
\(283\) 9.78990 + 5.34569i 0.581949 + 0.317768i 0.743120 0.669158i \(-0.233345\pi\)
−0.161171 + 0.986927i \(0.551527\pi\)
\(284\) 0.966353 1.50368i 0.0573425 0.0892267i
\(285\) −4.65280 + 2.58534i −0.275608 + 0.153142i
\(286\) 2.85726 9.73092i 0.168953 0.575402i
\(287\) 0.164059 + 0.0117337i 0.00968407 + 0.000692618i
\(288\) 0.997452 + 0.0713392i 0.0587754 + 0.00420370i
\(289\) −7.47967 + 25.4734i −0.439981 + 1.49844i
\(290\) 19.9582 11.0898i 1.17199 0.651218i
\(291\) −2.80231 + 4.36047i −0.164274 + 0.255616i
\(292\) 10.1772 + 5.55718i 0.595576 + 0.325209i
\(293\) 18.4345 13.7999i 1.07696 0.806200i 0.0950326 0.995474i \(-0.469704\pi\)
0.981924 + 0.189274i \(0.0606136\pi\)
\(294\) 6.13651 2.80245i 0.357889 0.163442i
\(295\) 4.37564 + 14.5055i 0.254760 + 0.844543i
\(296\) 4.29752 + 6.68708i 0.249788 + 0.388678i
\(297\) 0.280192 + 3.91760i 0.0162584 + 0.227322i
\(298\) −0.435962 0.435962i −0.0252546 0.0252546i
\(299\) 11.4527 4.71057i 0.662328 0.272419i
\(300\) 4.42326 + 2.33126i 0.255377 + 0.134596i
\(301\) −3.77161 + 4.35267i −0.217392 + 0.250884i
\(302\) 22.2322 + 4.83632i 1.27932 + 0.278299i
\(303\) 9.04189 + 6.76867i 0.519443 + 0.388850i
\(304\) 0.988871 + 2.16533i 0.0567157 + 0.124190i
\(305\) 0.00881845 + 1.19580i 0.000504943 + 0.0684716i
\(306\) 1.85920 + 6.33184i 0.106283 + 0.361967i
\(307\) 0.417156 + 1.91763i 0.0238083 + 0.109445i 0.987518 0.157509i \(-0.0503464\pi\)
−0.963709 + 0.266954i \(0.913983\pi\)
\(308\) −0.691550 1.85412i −0.0394047 0.105648i
\(309\) 3.66295 + 1.07554i 0.208378 + 0.0611853i
\(310\) −23.0896 + 1.82264i −1.31140 + 0.103519i
\(311\) −5.83513 6.73410i −0.330880 0.381856i 0.565794 0.824546i \(-0.308570\pi\)
−0.896675 + 0.442690i \(0.854024\pi\)
\(312\) −1.23750 2.26631i −0.0700596 0.128305i
\(313\) 7.01735 2.61734i 0.396644 0.147941i −0.143224 0.989690i \(-0.545747\pi\)
0.539868 + 0.841750i \(0.318474\pi\)
\(314\) 8.82442 + 5.67111i 0.497991 + 0.320039i
\(315\) 0.385918 1.05846i 0.0217440 0.0596375i
\(316\) −11.5245 1.65697i −0.648303 0.0932118i
\(317\) 0.348979 0.935649i 0.0196006 0.0525513i −0.926781 0.375602i \(-0.877436\pi\)
0.946382 + 0.323051i \(0.104709\pi\)
\(318\) 3.78331 5.05391i 0.212158 0.283409i
\(319\) 33.7381 21.6821i 1.88897 1.21397i
\(320\) 1.19500 1.88996i 0.0668028 0.105652i
\(321\) 2.50181i 0.139637i
\(322\) 1.23814 2.07501i 0.0689989 0.115636i
\(323\) −11.1079 + 11.1079i −0.618059 + 0.618059i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) −1.11087 12.8629i −0.0616202 0.713508i
\(326\) −0.0540005 0.375582i −0.00299081 0.0208015i
\(327\) 18.3253 + 6.83498i 1.01339 + 0.377975i
\(328\) 0.195633 + 0.261335i 0.0108020 + 0.0144298i
\(329\) −1.02521 + 0.301028i −0.0565215 + 0.0165962i
\(330\) 8.01544 + 3.58933i 0.441236 + 0.197586i
\(331\) 8.82469 19.3234i 0.485049 1.06211i −0.495996 0.868325i \(-0.665197\pi\)
0.981044 0.193783i \(-0.0620759\pi\)
\(332\) −15.9098 + 8.68740i −0.873163 + 0.476783i
\(333\) −0.567071 + 7.92869i −0.0310753 + 0.434490i
\(334\) −5.97413 + 5.17661i −0.326890 + 0.283252i
\(335\) 3.42599 + 4.50693i 0.187182 + 0.246240i
\(336\) −0.458309 0.209303i −0.0250028 0.0114184i
\(337\) 3.28480 0.714565i 0.178935 0.0389248i −0.122205 0.992505i \(-0.538997\pi\)
0.301140 + 0.953580i \(0.402633\pi\)
\(338\) 3.03481 5.55784i 0.165072 0.302307i
\(339\) 1.09862 7.64110i 0.0596691 0.415007i
\(340\) 14.4417 + 3.03023i 0.783210 + 0.164337i
\(341\) −40.2686 + 5.78975i −2.18067 + 0.313532i
\(342\) −0.505999 + 2.32604i −0.0273613 + 0.125778i
\(343\) −6.90821 + 0.494085i −0.373008 + 0.0266781i
\(344\) −11.4310 −0.616320
\(345\) 2.70284 + 10.3776i 0.145516 + 0.558711i
\(346\) 7.05272 0.379157
\(347\) −6.68252 + 0.477944i −0.358737 + 0.0256574i −0.249545 0.968363i \(-0.580281\pi\)
−0.109192 + 0.994021i \(0.534826\pi\)
\(348\) 2.17049 9.97757i 0.116350 0.534854i
\(349\) −30.7162 + 4.41633i −1.64420 + 0.236401i −0.901361 0.433068i \(-0.857431\pi\)
−0.742841 + 0.669468i \(0.766522\pi\)
\(350\) −1.67762 1.87935i −0.0896727 0.100455i
\(351\) 0.367480 2.55588i 0.0196146 0.136423i
\(352\) 1.88230 3.44718i 0.100327 0.183735i
\(353\) 4.45695 0.969549i 0.237219 0.0516039i −0.0923839 0.995723i \(-0.529449\pi\)
0.329603 + 0.944120i \(0.393085\pi\)
\(354\) 6.16346 + 2.81476i 0.327584 + 0.149603i
\(355\) 0.539615 3.96020i 0.0286398 0.210186i
\(356\) −7.87655 + 6.82507i −0.417456 + 0.361728i
\(357\) 0.237197 3.31644i 0.0125538 0.175525i
\(358\) −21.9963 + 12.0109i −1.16254 + 0.634795i
\(359\) −1.40717 + 3.08128i −0.0742679 + 0.162624i −0.943124 0.332440i \(-0.892128\pi\)
0.868857 + 0.495064i \(0.164855\pi\)
\(360\) 2.08926 0.796854i 0.110114 0.0419979i
\(361\) 12.7934 3.75648i 0.673337 0.197709i
\(362\) 6.53883 + 8.73486i 0.343673 + 0.459094i
\(363\) 4.14705 + 1.54677i 0.217664 + 0.0811844i
\(364\) 0.185151 + 1.28775i 0.00970456 + 0.0674967i
\(365\) 25.8754 + 1.65895i 1.35438 + 0.0868336i
\(366\) 0.404171 + 0.350216i 0.0211263 + 0.0183061i
\(367\) −12.0391 + 12.0391i −0.628435 + 0.628435i −0.947674 0.319239i \(-0.896573\pi\)
0.319239 + 0.947674i \(0.396573\pi\)
\(368\) 4.72173 0.839786i 0.246137 0.0437769i
\(369\) 0.326448i 0.0169942i
\(370\) 15.0232 + 9.49903i 0.781020 + 0.493831i
\(371\) −2.67586 + 1.71967i −0.138924 + 0.0892809i
\(372\) −6.20739 + 8.29210i −0.321838 + 0.429926i
\(373\) −7.72059 + 20.6997i −0.399757 + 1.07179i 0.568686 + 0.822555i \(0.307452\pi\)
−0.968443 + 0.249235i \(0.919821\pi\)
\(374\) 25.6551 + 3.68864i 1.32659 + 0.190735i
\(375\) 11.1668 + 0.550708i 0.576649 + 0.0284384i
\(376\) −1.78404 1.14653i −0.0920048 0.0591279i
\(377\) −24.7039 + 9.21407i −1.27231 + 0.474549i
\(378\) −0.241465 0.442209i −0.0124196 0.0227448i
\(379\) −9.25534 10.6812i −0.475415 0.548658i 0.466495 0.884524i \(-0.345517\pi\)
−0.941910 + 0.335866i \(0.890971\pi\)
\(380\) 4.04832 + 3.45595i 0.207675 + 0.177287i
\(381\) 17.6342 + 5.17788i 0.903429 + 0.265271i
\(382\) −0.0703139 0.188519i −0.00359757 0.00964547i
\(383\) −0.215009 0.988380i −0.0109864 0.0505039i 0.971327 0.237746i \(-0.0764087\pi\)
−0.982314 + 0.187242i \(0.940045\pi\)
\(384\) −0.281733 0.959493i −0.0143771 0.0489639i
\(385\) −3.15188 3.10573i −0.160635 0.158283i
\(386\) 6.68818 + 14.6451i 0.340419 + 0.745414i
\(387\) −9.15101 6.85036i −0.465172 0.348223i
\(388\) 5.06485 + 1.10179i 0.257129 + 0.0559350i
\(389\) 20.5266 23.6889i 1.04074 1.20108i 0.0615552 0.998104i \(-0.480394\pi\)
0.979184 0.202974i \(-0.0650606\pi\)
\(390\) −4.64763 3.42599i −0.235342 0.173482i
\(391\) 16.0816 + 27.2581i 0.813280 + 1.37850i
\(392\) −4.77025 4.77025i −0.240934 0.240934i
\(393\) 0.551835 + 7.71566i 0.0278364 + 0.389203i
\(394\) 0.430920 + 0.670524i 0.0217094 + 0.0337805i
\(395\) −24.9252 + 7.51878i −1.25412 + 0.378311i
\(396\) 3.57268 1.63159i 0.179534 0.0819904i
\(397\) −14.0682 + 10.5313i −0.706061 + 0.528551i −0.890890 0.454220i \(-0.849918\pi\)
0.184828 + 0.982771i \(0.440827\pi\)
\(398\) −9.86634 5.38743i −0.494555 0.270048i
\(399\) 0.648424 1.00897i 0.0324618 0.0505115i
\(400\) 0.638506 4.95906i 0.0319253 0.247953i
\(401\) −4.78588 + 16.2992i −0.238996 + 0.813944i 0.749410 + 0.662107i \(0.230337\pi\)
−0.988405 + 0.151838i \(0.951481\pi\)
\(402\) 2.52534 + 0.180616i 0.125953 + 0.00900831i
\(403\) 26.6782 + 1.90806i 1.32894 + 0.0950475i
\(404\) 3.18209 10.8372i 0.158315 0.539171i
\(405\) 2.15008 + 0.614135i 0.106838 + 0.0305166i
\(406\) −2.78142 + 4.32797i −0.138039 + 0.214794i
\(407\) 27.4014 + 14.9623i 1.35824 + 0.741655i
\(408\) 5.28290 3.95473i 0.261542 0.195788i
\(409\) −3.21081 + 1.46633i −0.158764 + 0.0725052i −0.493212 0.869909i \(-0.664177\pi\)
0.334448 + 0.942414i \(0.391450\pi\)
\(410\) 0.643233 + 0.345099i 0.0317670 + 0.0170432i
\(411\) 9.26730 + 14.4202i 0.457122 + 0.711296i
\(412\) −0.272344 3.80786i −0.0134174 0.187600i
\(413\) −2.41400 2.41400i −0.118785 0.118785i
\(414\) 4.28321 + 2.15735i 0.210508 + 0.106028i
\(415\) −24.0508 + 32.6269i −1.18061 + 1.60159i
\(416\) −1.69096 + 1.95147i −0.0829060 + 0.0956787i
\(417\) −13.1170 2.85342i −0.642341 0.139733i
\(418\) 7.48462 + 5.60291i 0.366085 + 0.274048i
\(419\) −10.5644 23.1329i −0.516106 1.13011i −0.970893 0.239514i \(-0.923012\pi\)
0.454787 0.890600i \(-0.349715\pi\)
\(420\) −1.12659 + 0.00830802i −0.0549719 + 0.000405390i
\(421\) 7.14743 + 24.3419i 0.348344 + 1.18635i 0.928340 + 0.371732i \(0.121236\pi\)
−0.579996 + 0.814619i \(0.696946\pi\)
\(422\) 1.74336 + 8.01411i 0.0848656 + 0.390121i
\(423\) −0.741106 1.98698i −0.0360338 0.0966103i
\(424\) −6.05740 1.77861i −0.294173 0.0863770i
\(425\) 32.1348 7.48850i 1.55877 0.363246i
\(426\) −1.17051 1.35084i −0.0567115 0.0654486i
\(427\) −0.129134 0.236491i −0.00624923 0.0114446i
\(428\) −2.34407 + 0.874293i −0.113305 + 0.0422605i
\(429\) −8.53177 5.48304i −0.411918 0.264723i
\(430\) −23.1718 + 10.7894i −1.11744 + 0.520311i
\(431\) 9.65270 + 1.38785i 0.464954 + 0.0668503i 0.370811 0.928708i \(-0.379080\pi\)
0.0941433 + 0.995559i \(0.469989\pi\)
\(432\) 0.349464 0.936950i 0.0168136 0.0450790i
\(433\) −8.28854 + 11.0722i −0.398322 + 0.532095i −0.954200 0.299168i \(-0.903291\pi\)
0.555879 + 0.831263i \(0.312382\pi\)
\(434\) 4.39036 2.82151i 0.210744 0.135437i
\(435\) −5.01775 22.2741i −0.240583 1.06796i
\(436\) 19.5584i 0.936680i
\(437\) 0.379122 + 11.4099i 0.0181358 + 0.545810i
\(438\) 8.19933 8.19933i 0.391779 0.391779i
\(439\) 13.4087 + 11.6187i 0.639961 + 0.554529i 0.913248 0.407403i \(-0.133566\pi\)
−0.273288 + 0.961932i \(0.588111\pi\)
\(440\) 0.561913 8.76441i 0.0267882 0.417827i
\(441\) −0.960077 6.67748i −0.0457179 0.317975i
\(442\) −15.9657 5.95491i −0.759412 0.283246i
\(443\) −14.5171 19.3926i −0.689730 0.921371i 0.309837 0.950790i \(-0.399725\pi\)
−0.999567 + 0.0294185i \(0.990634\pi\)
\(444\) 7.62696 2.23948i 0.361959 0.106281i
\(445\) −9.52452 + 21.2695i −0.451506 + 1.00827i
\(446\) 1.23880 2.71260i 0.0586590 0.128445i
\(447\) −0.541127 + 0.295478i −0.0255944 + 0.0139756i
\(448\) −0.0359435 + 0.502556i −0.00169817 + 0.0237435i
\(449\) 11.6491 10.0940i 0.549753 0.476364i −0.335133 0.942171i \(-0.608781\pi\)
0.884886 + 0.465807i \(0.154236\pi\)
\(450\) 3.48301 3.58729i 0.164191 0.169107i
\(451\) 1.16630 + 0.532629i 0.0549187 + 0.0250805i
\(452\) −7.54325 + 1.64093i −0.354805 + 0.0771831i
\(453\) 10.9040 19.9691i 0.512313 0.938231i
\(454\) 2.61054 18.1567i 0.122519 0.852137i
\(455\) 1.59079 + 2.43564i 0.0745775 + 0.114185i
\(456\) 2.35621 0.338772i 0.110340 0.0158645i
\(457\) 1.13021 5.19547i 0.0528688 0.243034i −0.943127 0.332432i \(-0.892131\pi\)
0.995996 + 0.0893983i \(0.0284944\pi\)
\(458\) −10.1456 + 0.725625i −0.474071 + 0.0339062i
\(459\) 6.59915 0.308022
\(460\) 8.77875 6.15903i 0.409311 0.287166i
\(461\) 13.3867 0.623480 0.311740 0.950167i \(-0.399088\pi\)
0.311740 + 0.950167i \(0.399088\pi\)
\(462\) −1.97384 + 0.141172i −0.0918315 + 0.00656792i
\(463\) 4.69349 21.5756i 0.218125 1.00270i −0.729664 0.683806i \(-0.760323\pi\)
0.947789 0.318898i \(-0.103313\pi\)
\(464\) −10.1070 + 1.45317i −0.469205 + 0.0674615i
\(465\) −4.75629 + 22.6678i −0.220568 + 1.05120i
\(466\) −0.281234 + 1.95603i −0.0130279 + 0.0906112i
\(467\) −3.21295 + 5.88407i −0.148677 + 0.272282i −0.941395 0.337307i \(-0.890484\pi\)
0.792717 + 0.609589i \(0.208666\pi\)
\(468\) −2.52315 + 0.548879i −0.116633 + 0.0253719i
\(469\) −1.16034 0.529911i −0.0535796 0.0244690i
\(470\) −4.69859 0.640227i −0.216730 0.0295315i
\(471\) 7.92752 6.86924i 0.365281 0.316518i
\(472\) 0.483378 6.75851i 0.0222493 0.311086i
\(473\) −39.4048 + 21.5167i −1.81184 + 0.989337i
\(474\) −4.83667 + 10.5908i −0.222156 + 0.486453i
\(475\) 11.4683 + 3.18445i 0.526202 + 0.146113i
\(476\) −3.19023 + 0.936737i −0.146224 + 0.0429353i
\(477\) −3.78331 5.05391i −0.173226 0.231403i
\(478\) 27.5804 + 10.2870i 1.26150 + 0.470515i
\(479\) 3.47309 + 24.1559i 0.158690 + 1.10371i 0.901052 + 0.433712i \(0.142796\pi\)
−0.742362 + 0.669999i \(0.766294\pi\)
\(480\) −1.47674 1.67906i −0.0674034 0.0766384i
\(481\) −15.5121 13.4413i −0.707292 0.612872i
\(482\) 10.8574 10.8574i 0.494539 0.494539i
\(483\) −1.64213 1.77258i −0.0747196 0.0806554i
\(484\) 4.42612i 0.201187i
\(485\) 11.3069 2.54713i 0.513419 0.115659i
\(486\) 0.841254 0.540641i 0.0381600 0.0245240i
\(487\) −6.14007 + 8.20218i −0.278233 + 0.371676i −0.917789 0.397069i \(-0.870027\pi\)
0.639556 + 0.768745i \(0.279118\pi\)
\(488\) 0.186892 0.501076i 0.00846018 0.0226826i
\(489\) −0.375582 0.0540005i −0.0169844 0.00244199i
\(490\) −14.1722 5.16724i −0.640236 0.233432i
\(491\) −8.30855 5.33958i −0.374960 0.240972i 0.339564 0.940583i \(-0.389720\pi\)
−0.714524 + 0.699611i \(0.753357\pi\)
\(492\) 0.305866 0.114082i 0.0137895 0.00514321i
\(493\) −32.2935 59.1410i −1.45442 2.66358i
\(494\) −4.02523 4.64536i −0.181104 0.209005i
\(495\) 5.70215 6.67953i 0.256293 0.300222i
\(496\) 9.93854 + 2.91822i 0.446254 + 0.131032i
\(497\) 0.314718 + 0.843793i 0.0141171 + 0.0378493i
\(498\) 3.85319 + 17.7128i 0.172666 + 0.793732i
\(499\) −0.737556 2.51188i −0.0330175 0.112447i 0.941336 0.337472i \(-0.109572\pi\)
−0.974353 + 0.225025i \(0.927754\pi\)
\(500\) −3.38640 10.6552i −0.151444 0.476513i
\(501\) 3.28382 + 7.19056i 0.146710 + 0.321250i
\(502\) 18.8967 + 14.1459i 0.843399 + 0.631361i
\(503\) −1.41058 0.306853i −0.0628947 0.0136819i 0.181008 0.983482i \(-0.442064\pi\)
−0.243903 + 0.969800i \(0.578428\pi\)
\(504\) −0.329945 + 0.380777i −0.0146969 + 0.0169611i
\(505\) −3.77852 24.9715i −0.168142 1.11122i
\(506\) 14.6959 11.7826i 0.653314 0.523802i
\(507\) −4.47770 4.47770i −0.198862 0.198862i
\(508\) −1.31112 18.3319i −0.0581716 0.813345i
\(509\) −11.1343 17.3253i −0.493518 0.767928i 0.501759 0.865007i \(-0.332686\pi\)
−0.995277 + 0.0970791i \(0.969050\pi\)
\(510\) 6.97618 13.0030i 0.308910 0.575781i
\(511\) −5.31436 + 2.42699i −0.235094 + 0.107364i
\(512\) −0.800541 + 0.599278i −0.0353793 + 0.0264846i
\(513\) 2.08926 + 1.14082i 0.0922432 + 0.0503686i
\(514\) −11.0049 + 17.1240i −0.485406 + 0.755306i
\(515\) −4.14619 7.46184i −0.182703 0.328808i
\(516\) −3.22049 + 10.9680i −0.141774 + 0.482839i
\(517\) −8.30803 0.594202i −0.365387 0.0261330i
\(518\) −3.99479 0.285713i −0.175521 0.0125535i
\(519\) 1.98698 6.76704i 0.0872188 0.297040i
\(520\) −1.58580 + 5.55186i −0.0695418 + 0.243465i
\(521\) −11.2368 + 17.4848i −0.492293 + 0.766023i −0.995152 0.0983452i \(-0.968645\pi\)
0.502859 + 0.864368i \(0.332281\pi\)
\(522\) −8.96191 4.89357i −0.392252 0.214186i
\(523\) −11.3923 + 8.52816i −0.498150 + 0.372911i −0.818608 0.574352i \(-0.805254\pi\)
0.320458 + 0.947263i \(0.396163\pi\)
\(524\) 7.03634 3.21339i 0.307384 0.140377i
\(525\) −2.27586 + 1.08020i −0.0993267 + 0.0471436i
\(526\) −6.80587 10.5901i −0.296750 0.461752i
\(527\) 4.87638 + 68.1807i 0.212418 + 2.97000i
\(528\) −2.77724 2.77724i −0.120864 0.120864i
\(529\) 22.4498 + 5.00063i 0.976078 + 0.217419i
\(530\) −13.9577 + 2.11198i −0.606283 + 0.0917387i
\(531\) 4.43719 5.12079i 0.192558 0.222223i
\(532\) −1.17195 0.254943i −0.0508106 0.0110532i
\(533\) −0.674811 0.505157i −0.0292293 0.0218808i
\(534\) 4.32952 + 9.48033i 0.187357 + 0.410254i
\(535\) −3.92643 + 3.98477i −0.169754 + 0.172277i
\(536\) −0.713288 2.42924i −0.0308094 0.104927i
\(537\) 5.32729 + 24.4892i 0.229889 + 1.05678i
\(538\) −2.47398 6.63301i −0.106661 0.285969i
\(539\) −25.4229 7.46485i −1.09504 0.321534i
\(540\) −0.175962 2.22913i −0.00757221 0.0959266i
\(541\) −4.94403 5.70571i −0.212560 0.245308i 0.639450 0.768833i \(-0.279162\pi\)
−0.852010 + 0.523525i \(0.824617\pi\)
\(542\) 3.93490 + 7.20623i 0.169018 + 0.309534i
\(543\) 10.2232 3.81307i 0.438721 0.163635i
\(544\) −5.55156 3.56777i −0.238021 0.152967i
\(545\) −18.4606 39.6468i −0.790767 1.69828i
\(546\) 1.28775 + 0.185151i 0.0551108 + 0.00792374i
\(547\) 6.86713 18.4115i 0.293617 0.787219i −0.703454 0.710741i \(-0.748360\pi\)
0.997071 0.0764779i \(-0.0243675\pi\)
\(548\) 10.2724 13.7223i 0.438816 0.586189i
\(549\) 0.449898 0.289132i 0.0192012 0.0123398i
\(550\) −7.13341 18.2966i −0.304170 0.780172i
\(551\) 24.3065i 1.03549i
\(552\) 0.524497 4.76706i 0.0223241 0.202900i
\(553\) 4.14803 4.14803i 0.176392 0.176392i
\(554\) 13.3586 + 11.5753i 0.567551 + 0.491786i
\(555\) 13.3468 11.7385i 0.566539 0.498271i
\(556\) 1.91040 + 13.2871i 0.0810189 + 0.563499i
\(557\) 3.84475 + 1.43402i 0.162907 + 0.0607613i 0.429595 0.903022i \(-0.358656\pi\)
−0.266687 + 0.963783i \(0.585929\pi\)
\(558\) 6.20739 + 8.29210i 0.262780 + 0.351033i
\(559\) 28.3212 8.31584i 1.19786 0.351723i
\(560\) 0.401487 + 1.05265i 0.0169659 + 0.0444828i
\(561\) 10.7671 23.5767i 0.454587 0.995408i
\(562\) −13.2312 + 7.22478i −0.558124 + 0.304759i
\(563\) −2.78336 + 38.9164i −0.117305 + 1.64013i 0.509152 + 0.860676i \(0.329959\pi\)
−0.626457 + 0.779456i \(0.715496\pi\)
\(564\) −1.60271 + 1.38876i −0.0674863 + 0.0584772i
\(565\) −13.7421 + 10.4462i −0.578133 + 0.439474i
\(566\) −10.1463 4.63367i −0.426481 0.194768i
\(567\) −0.492325 + 0.107099i −0.0206757 + 0.00449773i
\(568\) −0.856620 + 1.56878i −0.0359430 + 0.0658247i
\(569\) −3.64580 + 25.3571i −0.152840 + 1.06302i 0.758590 + 0.651568i \(0.225889\pi\)
−0.911430 + 0.411456i \(0.865020\pi\)
\(570\) 4.45651 2.91068i 0.186663 0.121915i
\(571\) −40.8318 + 5.87073i −1.70876 + 0.245682i −0.926237 0.376942i \(-0.876976\pi\)
−0.782521 + 0.622624i \(0.786067\pi\)
\(572\) −2.15578 + 9.90996i −0.0901377 + 0.414356i
\(573\) −0.200692 + 0.0143538i −0.00838404 + 0.000599638i
\(574\) −0.164478 −0.00686516
\(575\) 11.9820 20.7709i 0.499685 0.866207i
\(576\) −1.00000 −0.0416667
\(577\) −16.3059 + 1.16622i −0.678823 + 0.0485504i −0.406494 0.913654i \(-0.633249\pi\)
−0.272330 + 0.962204i \(0.587794\pi\)
\(578\) 5.64336 25.9421i 0.234733 1.07905i
\(579\) 15.9361 2.29127i 0.662283 0.0952219i
\(580\) −19.1162 + 12.4854i −0.793758 + 0.518428i
\(581\) 1.29978 9.04020i 0.0539241 0.375050i
\(582\) 2.48409 4.54928i 0.102969 0.188574i
\(583\) −24.2288 + 5.27066i −1.00346 + 0.218288i
\(584\) −10.5477 4.81699i −0.436468 0.199328i
\(585\) −4.59660 + 3.49416i −0.190046 + 0.144466i
\(586\) −17.4031 + 15.0799i −0.718915 + 0.622943i
\(587\) 2.18827 30.5961i 0.0903198 1.26284i −0.726995 0.686643i \(-0.759083\pi\)
0.817314 0.576192i \(-0.195462\pi\)
\(588\) −5.92095 + 3.23308i −0.244176 + 0.133330i
\(589\) −10.2428 + 22.4287i −0.422049 + 0.924159i
\(590\) −5.39931 14.1564i −0.222286 0.582809i
\(591\) 0.764768 0.224556i 0.0314583 0.00923700i
\(592\) −4.76362 6.36346i −0.195784 0.261536i
\(593\) 24.8231 + 9.25854i 1.01936 + 0.380203i 0.802916 0.596092i \(-0.203281\pi\)
0.216446 + 0.976295i \(0.430553\pi\)
\(594\) −0.558957 3.88763i −0.0229343 0.159511i
\(595\) −5.58274 + 4.91002i −0.228870 + 0.201291i
\(596\) 0.465952 + 0.403750i 0.0190862 + 0.0165382i
\(597\) −7.94887 + 7.94887i −0.325326 + 0.325326i
\(598\) −11.0875 + 5.51559i −0.453401 + 0.225549i
\(599\) 9.86975i 0.403267i −0.979461 0.201633i \(-0.935375\pi\)
0.979461 0.201633i \(-0.0646250\pi\)
\(600\) −4.57830 2.00977i −0.186908 0.0820486i
\(601\) 34.2023 21.9805i 1.39514 0.896602i 0.395380 0.918518i \(-0.370613\pi\)
0.999760 + 0.0219160i \(0.00697664\pi\)
\(602\) 3.45148 4.61064i 0.140672 0.187916i
\(603\) 0.884771 2.37216i 0.0360306 0.0966019i
\(604\) −22.5206 3.23797i −0.916350 0.131751i
\(605\) −4.17768 8.97216i −0.169847 0.364770i
\(606\) −9.50172 6.10639i −0.385981 0.248055i
\(607\) 27.7676 10.3568i 1.12705 0.420369i 0.284336 0.958725i \(-0.408227\pi\)
0.842718 + 0.538355i \(0.180954\pi\)
\(608\) −1.14082 2.08926i −0.0462665 0.0847308i
\(609\) 3.36904 + 3.88808i 0.136520 + 0.157553i
\(610\) −0.0941037 1.19213i −0.00381015 0.0482679i
\(611\) 5.25416 + 1.54276i 0.212560 + 0.0624134i
\(612\) −2.30617 6.18308i −0.0932213 0.249936i
\(613\) 10.0744 + 46.3111i 0.406900 + 1.87049i 0.486532 + 0.873663i \(0.338262\pi\)
−0.0796323 + 0.996824i \(0.525375\pi\)
\(614\) −0.552895 1.88299i −0.0223130 0.0759912i
\(615\) 0.512340 0.519952i 0.0206595 0.0209665i
\(616\) 0.822059 + 1.80006i 0.0331217 + 0.0725264i
\(617\) 9.76068 + 7.30676i 0.392950 + 0.294159i 0.777424 0.628977i \(-0.216526\pi\)
−0.384474 + 0.923136i \(0.625617\pi\)
\(618\) −3.73035 0.811487i −0.150057 0.0326428i
\(619\) −6.25941 + 7.22375i −0.251587 + 0.290347i −0.867469 0.497492i \(-0.834254\pi\)
0.615882 + 0.787839i \(0.288800\pi\)
\(620\) 22.9008 3.46519i 0.919718 0.139165i
\(621\) 3.27668 3.50191i 0.131489 0.140527i
\(622\) 6.30067 + 6.30067i 0.252634 + 0.252634i
\(623\) −0.374609 5.23772i −0.0150084 0.209845i
\(624\) 1.39602 + 2.17225i 0.0558857 + 0.0869598i
\(625\) −16.9216 18.4027i −0.676865 0.736107i
\(626\) −6.81276 + 3.11128i −0.272293 + 0.124352i
\(627\) 7.48462 5.60291i 0.298907 0.223759i
\(628\) −9.20651 5.02714i −0.367380 0.200605i
\(629\) 28.3600 44.1291i 1.13079 1.75954i
\(630\) −0.309425 + 1.08329i −0.0123278 + 0.0431595i
\(631\) 3.62546 12.3472i 0.144327 0.491534i −0.855320 0.518101i \(-0.826639\pi\)
0.999647 + 0.0265666i \(0.00845741\pi\)
\(632\) 11.6133 + 0.830601i 0.461953 + 0.0330395i
\(633\) 8.18065 + 0.585091i 0.325152 + 0.0232553i
\(634\) −0.281341 + 0.958160i −0.0111735 + 0.0380534i
\(635\) −19.9607 35.9229i −0.792115 1.42556i
\(636\) −3.41313 + 5.31094i −0.135339 + 0.210592i
\(637\) 15.2889 + 8.34835i 0.605767 + 0.330774i
\(638\) −32.1053 + 24.0337i −1.27106 + 0.951505i
\(639\) −1.62590 + 0.742522i −0.0643195 + 0.0293737i
\(640\) −1.05713 + 1.97040i −0.0417868 + 0.0778869i
\(641\) −9.94972 15.4821i −0.392990 0.611505i 0.587229 0.809421i \(-0.300219\pi\)
−0.980219 + 0.197916i \(0.936583\pi\)
\(642\) 0.178477 + 2.49544i 0.00704393 + 0.0984870i
\(643\) 3.22687 + 3.22687i 0.127255 + 0.127255i 0.767866 0.640611i \(-0.221319\pi\)
−0.640611 + 0.767866i \(0.721319\pi\)
\(644\) −1.08696 + 2.15805i −0.0428321 + 0.0850391i
\(645\) 3.82412 + 25.2729i 0.150575 + 0.995118i
\(646\) 10.2871 11.8720i 0.404742 0.467097i
\(647\) −3.52173 0.766106i −0.138454 0.0301187i 0.142804 0.989751i \(-0.454388\pi\)
−0.281258 + 0.959632i \(0.590752\pi\)
\(648\) −0.800541 0.599278i −0.0314482 0.0235419i
\(649\) −11.0553 24.2077i −0.433958 0.950234i
\(650\) 2.02567 + 12.7509i 0.0794535 + 0.500132i
\(651\) −1.47031 5.00743i −0.0576262 0.196257i
\(652\) 0.0806566 + 0.370772i 0.00315875 + 0.0145206i
\(653\) −14.5331 38.9649i −0.568726 1.52481i −0.828983 0.559274i \(-0.811080\pi\)
0.260257 0.965539i \(-0.416193\pi\)
\(654\) −18.7662 5.51025i −0.733816 0.215468i
\(655\) 11.2303 13.1552i 0.438804 0.514017i
\(656\) −0.213778 0.246713i −0.00834663 0.00963253i
\(657\) −5.55718 10.1772i −0.216806 0.397051i
\(658\) 1.00112 0.373398i 0.0390277 0.0145566i
\(659\) 5.46207 + 3.51026i 0.212772 + 0.136740i 0.642686 0.766129i \(-0.277820\pi\)
−0.429914 + 0.902870i \(0.641456\pi\)
\(660\) −8.25108 3.00837i −0.321173 0.117101i
\(661\) 5.48595 + 0.788760i 0.213379 + 0.0306792i 0.248175 0.968715i \(-0.420169\pi\)
−0.0347964 + 0.999394i \(0.511078\pi\)
\(662\) −7.42369 + 19.9037i −0.288530 + 0.773578i
\(663\) −10.2118 + 13.6413i −0.396592 + 0.529784i
\(664\) 15.2495 9.80026i 0.591795 0.380324i
\(665\) −2.61629 + 0.589378i −0.101455 + 0.0228551i
\(666\) 7.94894i 0.308015i
\(667\) −47.4185 12.2284i −1.83605 0.473486i
\(668\) 5.58961 5.58961i 0.216269 0.216269i
\(669\) −2.25371 1.95285i −0.0871334 0.0755015i
\(670\) −3.73879 4.25104i −0.144442 0.164232i
\(671\) −0.298927 2.07909i −0.0115400 0.0802622i
\(672\) 0.472072 + 0.176074i 0.0182106 + 0.00679220i
\(673\) −14.7622 19.7200i −0.569042 0.760151i 0.420042 0.907505i \(-0.362015\pi\)
−0.989084 + 0.147353i \(0.952925\pi\)
\(674\) −3.22546 + 0.947079i −0.124240 + 0.0364801i
\(675\) −2.46071 4.35258i −0.0947126 0.167531i
\(676\) −2.63059 + 5.76018i −0.101176 + 0.221545i
\(677\) 20.9208 11.4236i 0.804050 0.439044i −0.0239910 0.999712i \(-0.507637\pi\)
0.828041 + 0.560668i \(0.189455\pi\)
\(678\) −0.550715 + 7.70000i −0.0211501 + 0.295717i
\(679\) −1.97368 + 1.71020i −0.0757430 + 0.0656316i
\(680\) −14.6211 1.99225i −0.560692 0.0763995i
\(681\) −16.6858 7.62014i −0.639400 0.292004i
\(682\) 39.7529 8.64772i 1.52222 0.331138i
\(683\) −12.5203 + 22.9291i −0.479074 + 0.877359i 0.520647 + 0.853772i \(0.325691\pi\)
−0.999722 + 0.0235875i \(0.992491\pi\)
\(684\) 0.338772 2.35621i 0.0129533 0.0900920i
\(685\) 7.87104 37.5123i 0.300737 1.43327i
\(686\) 6.85536 0.985652i 0.261739 0.0376324i
\(687\) −2.16210 + 9.93903i −0.0824894 + 0.379198i
\(688\) 11.4019 0.815480i 0.434693 0.0310899i
\(689\) 16.3015 0.621038
\(690\) −3.43628 10.1583i −0.130817 0.386722i
\(691\) 1.08905 0.0414295 0.0207148 0.999785i \(-0.493406\pi\)
0.0207148 + 0.999785i \(0.493406\pi\)
\(692\) −7.03476 + 0.503136i −0.267421 + 0.0191263i
\(693\) −0.420642 + 1.93366i −0.0159789 + 0.0734537i
\(694\) 6.63140 0.953452i 0.251725 0.0361925i
\(695\) 16.4139 + 25.1311i 0.622613 + 0.953275i
\(696\) −1.45317 + 10.1070i −0.0550821 + 0.383104i
\(697\) 1.03244 1.89077i 0.0391064 0.0716180i
\(698\) 30.3229 6.59634i 1.14774 0.249675i
\(699\) 1.79756 + 0.820918i 0.0679900 + 0.0310500i
\(700\) 1.80742 + 1.75488i 0.0683141 + 0.0663281i
\(701\) 2.53036 2.19257i 0.0955702 0.0828121i −0.605765 0.795643i \(-0.707133\pi\)
0.701336 + 0.712831i \(0.252587\pi\)
\(702\) −0.184210 + 2.57559i −0.00695254 + 0.0972092i
\(703\) 16.6074 9.06835i 0.626361 0.342019i
\(704\) −1.63159 + 3.57268i −0.0614928 + 0.134650i
\(705\) −1.93804 + 4.32789i −0.0729908 + 0.162998i
\(706\) −4.37642 + 1.28503i −0.164709 + 0.0483629i
\(707\) 3.41033 + 4.55566i 0.128259 + 0.171333i
\(708\) −6.34856 2.36789i −0.238594 0.0889908i
\(709\) 0.502560 + 3.49538i 0.0188740 + 0.131272i 0.997080 0.0763657i \(-0.0243316\pi\)
−0.978206 + 0.207638i \(0.933423\pi\)
\(710\) −0.255722 + 3.98861i −0.00959708 + 0.149690i
\(711\) 8.79918 + 7.62454i 0.329995 + 0.285942i
\(712\) 7.36958 7.36958i 0.276187 0.276187i
\(713\) 38.6021 + 31.2660i 1.44566 + 1.17092i
\(714\) 3.32492i 0.124432i
\(715\) 4.98375 + 22.1232i 0.186382 + 0.827361i
\(716\) 21.0834 13.5495i 0.787924 0.506368i
\(717\) 17.6406 23.5650i 0.658799 0.880052i
\(718\) 1.18377 3.17382i 0.0441780 0.118446i
\(719\) −6.55599 0.942609i −0.244497 0.0351534i 0.0189767 0.999820i \(-0.493959\pi\)
−0.263474 + 0.964667i \(0.584868\pi\)
\(720\) −2.02709 + 0.943870i −0.0755453 + 0.0351760i
\(721\) 1.61811 + 1.03990i 0.0602616 + 0.0387278i
\(722\) −12.4928 + 4.65958i −0.464934 + 0.173412i
\(723\) −7.35869 13.4764i −0.273673 0.501194i
\(724\) −7.14531 8.24613i −0.265553 0.306465i
\(725\) −26.9658 + 43.3523i −1.00148 + 1.61006i
\(726\) −4.24683 1.24698i −0.157615 0.0462798i
\(727\) 17.3679 + 46.5653i 0.644141 + 1.72701i 0.685711 + 0.727874i \(0.259492\pi\)
−0.0415691 + 0.999136i \(0.513236\pi\)
\(728\) −0.276547 1.27127i −0.0102495 0.0471162i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) −25.9278 + 0.191205i −0.959633 + 0.00707680i
\(731\) 31.3369 + 68.6182i 1.15904 + 2.53794i
\(732\) −0.428125 0.320491i −0.0158240 0.0118457i
\(733\) 29.5043 + 6.41827i 1.08977 + 0.237064i 0.721332 0.692590i \(-0.243530\pi\)
0.368434 + 0.929654i \(0.379894\pi\)
\(734\) 11.1495 12.8673i 0.411537 0.474939i
\(735\) −8.95071 + 12.1424i −0.330152 + 0.447878i
\(736\) −4.64979 + 1.17449i −0.171394 + 0.0432923i
\(737\) −7.03139 7.03139i −0.259005 0.259005i
\(738\) −0.0232886 0.325617i −0.000857263 0.0119861i
\(739\) −0.182169 0.283460i −0.00670119 0.0104273i 0.837887 0.545844i \(-0.183791\pi\)
−0.844588 + 0.535417i \(0.820155\pi\)
\(740\) −15.6626 8.40308i −0.575768 0.308903i
\(741\) −5.59123 + 2.55343i −0.205399 + 0.0938025i
\(742\) 2.54636 1.90618i 0.0934799 0.0699782i
\(743\) −33.3883 18.2314i −1.22490 0.668844i −0.269168 0.963093i \(-0.586749\pi\)
−0.955729 + 0.294249i \(0.904930\pi\)
\(744\) 5.60002 8.71381i 0.205307 0.319464i
\(745\) 1.32562 + 0.378641i 0.0485668 + 0.0138723i
\(746\) 6.22422 21.1977i 0.227885 0.776105i
\(747\) 18.0809 + 1.29317i 0.661546 + 0.0473147i
\(748\) −25.8529 1.84903i −0.945274 0.0676074i
\(749\) 0.355127 1.20945i 0.0129761 0.0441924i
\(750\) −11.1776 + 0.247323i −0.408148 + 0.00903097i
\(751\) 3.87336 6.02707i 0.141341 0.219931i −0.763365 0.645967i \(-0.776454\pi\)
0.904706 + 0.426037i \(0.140091\pi\)
\(752\) 1.86129 + 1.01634i 0.0678741 + 0.0370621i
\(753\) 18.8967 14.1459i 0.688632 0.515504i
\(754\) 23.9836 10.9529i 0.873432 0.398883i
\(755\) −48.7076 + 14.6928i −1.77265 + 0.534727i
\(756\) 0.272396 + 0.423857i 0.00990696 + 0.0154155i
\(757\) −1.21675 17.0124i −0.0442236 0.618327i −0.970441 0.241337i \(-0.922414\pi\)
0.926218 0.376989i \(-0.123041\pi\)
\(758\) 9.99375 + 9.99375i 0.362989 + 0.362989i
\(759\) −7.16502 17.4202i −0.260074 0.632313i
\(760\) −4.28455 3.15834i −0.155417 0.114565i
\(761\) −29.8975 + 34.5035i −1.08378 + 1.25075i −0.117553 + 0.993067i \(0.537505\pi\)
−0.966229 + 0.257685i \(0.917040\pi\)
\(762\) −17.9587 3.90667i −0.650575 0.141524i
\(763\) 7.88879 + 5.90547i 0.285593 + 0.213793i
\(764\) 0.0835836 + 0.183022i 0.00302395 + 0.00662152i
\(765\) −10.5108 10.3570i −0.380020 0.374456i
\(766\) 0.284971 + 0.970523i 0.0102964 + 0.0350664i
\(767\) 3.71908 + 17.0963i 0.134288 + 0.617313i
\(768\) 0.349464 + 0.936950i 0.0126102 + 0.0338093i
\(769\) −1.46895 0.431323i −0.0529717 0.0155539i 0.255139 0.966904i \(-0.417879\pi\)
−0.308111 + 0.951350i \(0.599697\pi\)
\(770\) 3.36541 + 2.87297i 0.121281 + 0.103535i
\(771\) 13.3299 + 15.3835i 0.480064 + 0.554024i
\(772\) −7.71591 14.1306i −0.277702 0.508572i
\(773\) 19.4003