Properties

Label 370.2.v.a.289.5
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.5
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.a.169.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(-0.0975036 + 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.23279 - 0.121078i) q^{5} -0.285081i q^{6} +(-3.86387 + 0.681305i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(-0.0975036 + 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.23279 - 0.121078i) q^{5} -0.285081i q^{6} +(-3.86387 + 0.681305i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +(2.13955 - 0.649882i) q^{10} +(2.37253 - 4.10935i) q^{11} +(0.0975036 + 0.267889i) q^{12} +(3.78779 - 3.17833i) q^{13} +(3.39783 - 1.96174i) q^{14} +(0.250140 - 0.586333i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.839038 + 0.704036i) q^{17} +(-2.74271 - 0.998264i) q^{18} +(2.10893 - 5.79425i) q^{19} +(-1.78824 + 1.34246i) q^{20} +(0.194227 - 1.10152i) q^{21} +(-0.823972 + 4.67298i) q^{22} +(-3.19779 - 5.53873i) q^{23} +(-0.183247 - 0.218385i) q^{24} +(4.97068 + 0.540684i) q^{25} +(-2.47230 + 4.28215i) q^{26} +(-1.46126 + 0.843660i) q^{27} +(-2.52196 + 3.00556i) q^{28} +(-4.58799 - 2.64888i) q^{29} +(-0.0345171 + 0.636526i) q^{30} +1.56908i q^{31} +(0.173648 + 0.984808i) q^{32} +(0.869518 + 1.03625i) q^{33} +(-1.02923 - 0.374610i) q^{34} +(8.70969 - 1.05338i) q^{35} +2.91873 q^{36} +(-1.98952 - 5.74820i) q^{37} +6.16611i q^{38} +(0.482117 + 1.32460i) q^{39} +(1.22125 - 1.87311i) q^{40} +(-6.32885 + 5.31054i) q^{41} +(0.194227 + 1.10152i) q^{42} +9.58454 q^{43} +(-0.823972 - 4.67298i) q^{44} +(-4.76508 - 4.45970i) q^{45} +(4.89930 + 4.11100i) q^{46} +(7.68115 - 4.43471i) q^{47} +(0.246888 + 0.142541i) q^{48} +(7.88748 - 2.87081i) q^{49} +(-4.85584 + 1.19200i) q^{50} +(-0.270413 + 0.156123i) q^{51} +(0.858621 - 4.86948i) q^{52} +(2.04234 + 0.360119i) q^{53} +(1.08459 - 1.29256i) q^{54} +(-5.79491 + 8.88804i) q^{55} +(1.34191 - 3.68686i) q^{56} +(1.34659 + 1.12992i) q^{57} +(5.21727 + 0.919946i) q^{58} +(-7.40857 - 1.30633i) q^{59} +(-0.185269 - 0.609945i) q^{60} +(5.48206 + 6.53326i) q^{61} +(-0.536657 - 1.47445i) q^{62} +(-9.91735 - 5.72578i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-8.84215 + 6.63792i) q^{65} +(-1.17150 - 0.676365i) q^{66} +(-3.23941 + 0.571196i) q^{67} +1.09529 q^{68} +(1.79556 - 0.316606i) q^{69} +(-7.82416 + 3.96874i) q^{70} +(-13.2396 - 4.81882i) q^{71} +(-2.74271 + 0.998264i) q^{72} -2.00485i q^{73} +(3.83554 + 4.72108i) q^{74} +(-0.629502 + 1.27887i) q^{75} +(-2.10893 - 5.79425i) q^{76} +(-6.36744 + 17.4944i) q^{77} +(-0.906083 - 1.07983i) q^{78} +(12.7914 - 2.25546i) q^{79} +(-0.506958 + 2.17784i) q^{80} +(1.43697 + 8.14944i) q^{81} +(4.13086 - 7.15487i) q^{82} +(-0.774635 + 0.923174i) q^{83} +(-0.559255 - 0.968659i) q^{84} +(-1.78815 - 1.67355i) q^{85} +(-9.00652 + 3.27811i) q^{86} +(1.15695 - 0.970797i) q^{87} +(2.37253 + 4.10935i) q^{88} +(-2.09954 - 0.370205i) q^{89} +(6.00302 + 2.56099i) q^{90} +(-12.4701 + 14.8613i) q^{91} +(-6.00988 - 2.18742i) q^{92} +(-0.420339 - 0.152991i) q^{93} +(-5.70116 + 6.79437i) q^{94} +(-5.41036 + 12.6820i) q^{95} +(-0.280750 - 0.0495039i) q^{96} +(5.07438 + 8.78908i) q^{97} +(-6.42993 + 5.39535i) q^{98} +(13.0143 - 4.73683i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) −0.0975036 + 0.267889i −0.0562937 + 0.154666i −0.964652 0.263527i \(-0.915114\pi\)
0.908358 + 0.418193i \(0.137336\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −2.23279 0.121078i −0.998533 0.0541478i
\(6\) 0.285081i 0.116384i
\(7\) −3.86387 + 0.681305i −1.46041 + 0.257509i −0.846719 0.532040i \(-0.821425\pi\)
−0.613687 + 0.789549i \(0.710314\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 2.23588 + 1.87612i 0.745292 + 0.625374i
\(10\) 2.13955 0.649882i 0.676584 0.205511i
\(11\) 2.37253 4.10935i 0.715345 1.23901i −0.247481 0.968893i \(-0.579603\pi\)
0.962826 0.270122i \(-0.0870640\pi\)
\(12\) 0.0975036 + 0.267889i 0.0281469 + 0.0773329i
\(13\) 3.78779 3.17833i 1.05054 0.881510i 0.0573922 0.998352i \(-0.481721\pi\)
0.993151 + 0.116842i \(0.0372770\pi\)
\(14\) 3.39783 1.96174i 0.908109 0.524297i
\(15\) 0.250140 0.586333i 0.0645859 0.151391i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 0.839038 + 0.704036i 0.203497 + 0.170754i 0.738841 0.673880i \(-0.235374\pi\)
−0.535344 + 0.844634i \(0.679818\pi\)
\(18\) −2.74271 0.998264i −0.646462 0.235293i
\(19\) 2.10893 5.79425i 0.483823 1.32929i −0.422369 0.906424i \(-0.638801\pi\)
0.906191 0.422868i \(-0.138977\pi\)
\(20\) −1.78824 + 1.34246i −0.399863 + 0.300182i
\(21\) 0.194227 1.10152i 0.0423839 0.240371i
\(22\) −0.823972 + 4.67298i −0.175671 + 0.996282i
\(23\) −3.19779 5.53873i −0.666785 1.15491i −0.978798 0.204828i \(-0.934337\pi\)
0.312013 0.950078i \(-0.398997\pi\)
\(24\) −0.183247 0.218385i −0.0374051 0.0445777i
\(25\) 4.97068 + 0.540684i 0.994136 + 0.108137i
\(26\) −2.47230 + 4.28215i −0.484858 + 0.839799i
\(27\) −1.46126 + 0.843660i −0.281220 + 0.162362i
\(28\) −2.52196 + 3.00556i −0.476606 + 0.567997i
\(29\) −4.58799 2.64888i −0.851969 0.491884i 0.00934576 0.999956i \(-0.497025\pi\)
−0.861315 + 0.508072i \(0.830358\pi\)
\(30\) −0.0345171 + 0.636526i −0.00630194 + 0.116213i
\(31\) 1.56908i 0.281815i 0.990023 + 0.140907i \(0.0450020\pi\)
−0.990023 + 0.140907i \(0.954998\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) 0.869518 + 1.03625i 0.151364 + 0.180388i
\(34\) −1.02923 0.374610i −0.176512 0.0642451i
\(35\) 8.70969 1.05338i 1.47221 0.178053i
\(36\) 2.91873 0.486455
\(37\) −1.98952 5.74820i −0.327076 0.944998i
\(38\) 6.16611i 1.00028i
\(39\) 0.482117 + 1.32460i 0.0772004 + 0.212106i
\(40\) 1.22125 1.87311i 0.193097 0.296165i
\(41\) −6.32885 + 5.31054i −0.988401 + 0.829366i −0.985335 0.170629i \(-0.945420\pi\)
−0.00306512 + 0.999995i \(0.500976\pi\)
\(42\) 0.194227 + 1.10152i 0.0299699 + 0.169968i
\(43\) 9.58454 1.46163 0.730814 0.682576i \(-0.239141\pi\)
0.730814 + 0.682576i \(0.239141\pi\)
\(44\) −0.823972 4.67298i −0.124218 0.704478i
\(45\) −4.76508 4.45970i −0.710336 0.664813i
\(46\) 4.89930 + 4.11100i 0.722362 + 0.606134i
\(47\) 7.68115 4.43471i 1.12041 0.646869i 0.178905 0.983866i \(-0.442745\pi\)
0.941506 + 0.336997i \(0.109411\pi\)
\(48\) 0.246888 + 0.142541i 0.0356352 + 0.0205740i
\(49\) 7.88748 2.87081i 1.12678 0.410115i
\(50\) −4.85584 + 1.19200i −0.686719 + 0.168574i
\(51\) −0.270413 + 0.156123i −0.0378653 + 0.0218616i
\(52\) 0.858621 4.86948i 0.119069 0.675276i
\(53\) 2.04234 + 0.360119i 0.280537 + 0.0494662i 0.312146 0.950034i \(-0.398952\pi\)
−0.0316093 + 0.999500i \(0.510063\pi\)
\(54\) 1.08459 1.29256i 0.147594 0.175895i
\(55\) −5.79491 + 8.88804i −0.781386 + 1.19846i
\(56\) 1.34191 3.68686i 0.179320 0.492678i
\(57\) 1.34659 + 1.12992i 0.178360 + 0.149662i
\(58\) 5.21727 + 0.919946i 0.685062 + 0.120795i
\(59\) −7.40857 1.30633i −0.964514 0.170070i −0.330854 0.943682i \(-0.607337\pi\)
−0.633660 + 0.773612i \(0.718448\pi\)
\(60\) −0.185269 0.609945i −0.0239182 0.0787435i
\(61\) 5.48206 + 6.53326i 0.701906 + 0.836499i 0.992741 0.120274i \(-0.0383775\pi\)
−0.290835 + 0.956773i \(0.593933\pi\)
\(62\) −0.536657 1.47445i −0.0681555 0.187256i
\(63\) −9.91735 5.72578i −1.24947 0.721381i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −8.84215 + 6.63792i −1.09673 + 0.823332i
\(66\) −1.17150 0.676365i −0.144201 0.0832548i
\(67\) −3.23941 + 0.571196i −0.395757 + 0.0697827i −0.367985 0.929832i \(-0.619952\pi\)
−0.0277719 + 0.999614i \(0.508841\pi\)
\(68\) 1.09529 0.132823
\(69\) 1.79556 0.316606i 0.216160 0.0381149i
\(70\) −7.82416 + 3.96874i −0.935166 + 0.474355i
\(71\) −13.2396 4.81882i −1.57125 0.571889i −0.597973 0.801517i \(-0.704027\pi\)
−0.973278 + 0.229628i \(0.926249\pi\)
\(72\) −2.74271 + 0.998264i −0.323231 + 0.117647i
\(73\) 2.00485i 0.234650i −0.993094 0.117325i \(-0.962568\pi\)
0.993094 0.117325i \(-0.0374319\pi\)
\(74\) 3.83554 + 4.72108i 0.445873 + 0.548815i
\(75\) −0.629502 + 1.27887i −0.0726887 + 0.147671i
\(76\) −2.10893 5.79425i −0.241911 0.664646i
\(77\) −6.36744 + 17.4944i −0.725637 + 1.99367i
\(78\) −0.906083 1.07983i −0.102594 0.122266i
\(79\) 12.7914 2.25546i 1.43914 0.253760i 0.601016 0.799237i \(-0.294763\pi\)
0.838126 + 0.545477i \(0.183652\pi\)
\(80\) −0.506958 + 2.17784i −0.0566797 + 0.243490i
\(81\) 1.43697 + 8.14944i 0.159663 + 0.905494i
\(82\) 4.13086 7.15487i 0.456178 0.790123i
\(83\) −0.774635 + 0.923174i −0.0850272 + 0.101331i −0.806881 0.590714i \(-0.798846\pi\)
0.721854 + 0.692046i \(0.243290\pi\)
\(84\) −0.559255 0.968659i −0.0610198 0.105689i
\(85\) −1.78815 1.67355i −0.193952 0.181522i
\(86\) −9.00652 + 3.27811i −0.971198 + 0.353487i
\(87\) 1.15695 0.970797i 0.124038 0.104080i
\(88\) 2.37253 + 4.10935i 0.252913 + 0.438058i
\(89\) −2.09954 0.370205i −0.222551 0.0392417i 0.0612608 0.998122i \(-0.480488\pi\)
−0.283811 + 0.958880i \(0.591599\pi\)
\(90\) 6.00302 + 2.56099i 0.632773 + 0.269952i
\(91\) −12.4701 + 14.8613i −1.30722 + 1.55789i
\(92\) −6.00988 2.18742i −0.626573 0.228054i
\(93\) −0.420339 0.152991i −0.0435871 0.0158644i
\(94\) −5.70116 + 6.79437i −0.588029 + 0.700786i
\(95\) −5.41036 + 12.6820i −0.555091 + 1.30114i
\(96\) −0.280750 0.0495039i −0.0286540 0.00505247i
\(97\) 5.07438 + 8.78908i 0.515225 + 0.892396i 0.999844 + 0.0176707i \(0.00562506\pi\)
−0.484619 + 0.874726i \(0.661042\pi\)
\(98\) −6.42993 + 5.39535i −0.649521 + 0.545013i
\(99\) 13.0143 4.73683i 1.30799 0.476069i
\(100\) 4.15531 2.78090i 0.415531 0.278090i
\(101\) −3.28657 5.69251i −0.327026 0.566426i 0.654894 0.755721i \(-0.272713\pi\)
−0.981920 + 0.189295i \(0.939380\pi\)
\(102\) 0.200708 0.239194i 0.0198730 0.0236837i
\(103\) 2.51798 4.36128i 0.248104 0.429729i −0.714895 0.699231i \(-0.753526\pi\)
0.963000 + 0.269502i \(0.0868591\pi\)
\(104\) 0.858621 + 4.86948i 0.0841948 + 0.477492i
\(105\) −0.567038 + 2.43594i −0.0553373 + 0.237723i
\(106\) −2.04234 + 0.360119i −0.198370 + 0.0349779i
\(107\) −2.53882 3.02565i −0.245437 0.292501i 0.629235 0.777215i \(-0.283368\pi\)
−0.874673 + 0.484714i \(0.838924\pi\)
\(108\) −0.577097 + 1.58556i −0.0555312 + 0.152571i
\(109\) −3.98834 10.9579i −0.382014 1.04958i −0.970507 0.241073i \(-0.922501\pi\)
0.588493 0.808502i \(-0.299721\pi\)
\(110\) 2.40555 10.3340i 0.229360 0.985308i
\(111\) 1.73386 + 0.0274984i 0.164571 + 0.00261004i
\(112\) 3.92348i 0.370734i
\(113\) 3.61766 1.31672i 0.340321 0.123867i −0.166205 0.986091i \(-0.553151\pi\)
0.506527 + 0.862224i \(0.330929\pi\)
\(114\) −1.65183 0.601218i −0.154708 0.0563092i
\(115\) 6.46936 + 12.7540i 0.603271 + 1.18932i
\(116\) −5.21727 + 0.919946i −0.484412 + 0.0854148i
\(117\) 14.4320 1.33423
\(118\) 7.40857 1.30633i 0.682014 0.120258i
\(119\) −3.72160 2.14866i −0.341158 0.196968i
\(120\) 0.382710 + 0.509795i 0.0349364 + 0.0465377i
\(121\) −5.75782 9.97283i −0.523438 0.906621i
\(122\) −7.38596 4.26429i −0.668693 0.386070i
\(123\) −0.805548 2.21323i −0.0726338 0.199560i
\(124\) 1.00858 + 1.20198i 0.0905736 + 0.107941i
\(125\) −11.0330 1.80907i −0.986822 0.161808i
\(126\) 11.2776 + 1.98854i 1.00469 + 0.177154i
\(127\) −20.7636 3.66119i −1.84247 0.324878i −0.859858 0.510532i \(-0.829448\pi\)
−0.982615 + 0.185655i \(0.940559\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) −0.934527 + 2.56759i −0.0822805 + 0.226064i
\(130\) 6.03860 9.26179i 0.529620 0.812313i
\(131\) 5.12862 6.11205i 0.448089 0.534012i −0.493961 0.869484i \(-0.664451\pi\)
0.942050 + 0.335472i \(0.108896\pi\)
\(132\) 1.33218 + 0.234899i 0.115951 + 0.0204453i
\(133\) −4.20100 + 23.8251i −0.364273 + 2.06589i
\(134\) 2.84869 1.64469i 0.246089 0.142080i
\(135\) 3.36484 1.70679i 0.289599 0.146897i
\(136\) −1.02923 + 0.374610i −0.0882559 + 0.0321225i
\(137\) −0.262746 0.151697i −0.0224479 0.0129603i 0.488734 0.872433i \(-0.337459\pi\)
−0.511182 + 0.859473i \(0.670792\pi\)
\(138\) −1.57899 + 0.911630i −0.134413 + 0.0776031i
\(139\) −2.15395 1.80738i −0.182696 0.153300i 0.546853 0.837228i \(-0.315826\pi\)
−0.729549 + 0.683929i \(0.760270\pi\)
\(140\) 5.99491 6.40542i 0.506663 0.541357i
\(141\) 0.439071 + 2.49009i 0.0369764 + 0.209704i
\(142\) 14.0893 1.18235
\(143\) −4.07421 23.1060i −0.340703 1.93222i
\(144\) 2.23588 1.87612i 0.186323 0.156344i
\(145\) 9.92329 + 6.46989i 0.824085 + 0.537295i
\(146\) 0.685698 + 1.88394i 0.0567488 + 0.155916i
\(147\) 2.39288i 0.197362i
\(148\) −5.21894 3.12453i −0.428994 0.256835i
\(149\) 15.4881 1.26883 0.634416 0.772992i \(-0.281241\pi\)
0.634416 + 0.772992i \(0.281241\pi\)
\(150\) 0.154139 1.41705i 0.0125854 0.115702i
\(151\) −3.65851 1.33159i −0.297725 0.108363i 0.188839 0.982008i \(-0.439528\pi\)
−0.486564 + 0.873645i \(0.661750\pi\)
\(152\) 3.96350 + 4.72351i 0.321482 + 0.383128i
\(153\) 0.555126 + 3.14827i 0.0448793 + 0.254523i
\(154\) 18.6172i 1.50021i
\(155\) 0.189981 3.50342i 0.0152597 0.281402i
\(156\) 1.22076 + 0.704807i 0.0977392 + 0.0564297i
\(157\) −7.35127 + 8.76090i −0.586695 + 0.699196i −0.974967 0.222349i \(-0.928628\pi\)
0.388272 + 0.921545i \(0.373072\pi\)
\(158\) −11.2485 + 6.49435i −0.894886 + 0.516663i
\(159\) −0.295607 + 0.512007i −0.0234432 + 0.0406048i
\(160\) −0.268481 2.21989i −0.0212253 0.175498i
\(161\) 16.1294 + 19.2223i 1.27118 + 1.51493i
\(162\) −4.13758 7.16650i −0.325079 0.563053i
\(163\) 2.37185 13.4514i 0.185778 1.05360i −0.739175 0.673514i \(-0.764784\pi\)
0.924952 0.380083i \(-0.124105\pi\)
\(164\) −1.43463 + 8.13621i −0.112026 + 0.635332i
\(165\) −1.81598 2.41901i −0.141374 0.188320i
\(166\) 0.412174 1.13244i 0.0319909 0.0878944i
\(167\) 2.79834 + 1.01851i 0.216542 + 0.0788149i 0.448013 0.894027i \(-0.352132\pi\)
−0.231471 + 0.972842i \(0.574354\pi\)
\(168\) 0.856829 + 0.718965i 0.0661058 + 0.0554693i
\(169\) 1.98812 11.2752i 0.152932 0.867320i
\(170\) 2.25270 + 0.961042i 0.172774 + 0.0737085i
\(171\) 15.5860 8.99860i 1.19189 0.688140i
\(172\) 7.34218 6.16082i 0.559836 0.469758i
\(173\) 3.81653 + 10.4858i 0.290166 + 0.797223i 0.996042 + 0.0888879i \(0.0283313\pi\)
−0.705876 + 0.708335i \(0.749446\pi\)
\(174\) −0.755146 + 1.30795i −0.0572475 + 0.0991556i
\(175\) −19.5744 + 1.29742i −1.47969 + 0.0980754i
\(176\) −3.63493 3.05007i −0.273993 0.229908i
\(177\) 1.07231 1.85730i 0.0806001 0.139603i
\(178\) 2.09954 0.370205i 0.157367 0.0277480i
\(179\) 7.04726i 0.526737i 0.964695 + 0.263369i \(0.0848335\pi\)
−0.964695 + 0.263369i \(0.915166\pi\)
\(180\) −6.51690 0.353394i −0.485741 0.0263405i
\(181\) 4.72911 3.96820i 0.351512 0.294954i −0.449885 0.893087i \(-0.648535\pi\)
0.801397 + 0.598133i \(0.204090\pi\)
\(182\) 6.63520 18.2301i 0.491834 1.35130i
\(183\) −2.28471 + 0.831566i −0.168891 + 0.0614712i
\(184\) 6.39558 0.471488
\(185\) 3.74620 + 13.0754i 0.275426 + 0.961322i
\(186\) 0.447315 0.0327988
\(187\) 4.88377 1.77755i 0.357137 0.129987i
\(188\) 3.03352 8.33453i 0.221242 0.607858i
\(189\) 5.07134 4.25536i 0.368885 0.309532i
\(190\) 0.746581 13.7676i 0.0541627 0.998808i
\(191\) 11.7977i 0.853649i −0.904335 0.426824i \(-0.859632\pi\)
0.904335 0.426824i \(-0.140368\pi\)
\(192\) 0.280750 0.0495039i 0.0202614 0.00357263i
\(193\) 11.1322 19.2816i 0.801315 1.38792i −0.117436 0.993080i \(-0.537468\pi\)
0.918751 0.394837i \(-0.129199\pi\)
\(194\) −7.77440 6.52350i −0.558169 0.468360i
\(195\) −0.916083 3.01593i −0.0656021 0.215976i
\(196\) 4.19684 7.26914i 0.299774 0.519224i
\(197\) 5.19626 + 14.2766i 0.370218 + 1.01717i 0.975277 + 0.220986i \(0.0709274\pi\)
−0.605059 + 0.796181i \(0.706850\pi\)
\(198\) −10.6094 + 8.90232i −0.753975 + 0.632661i
\(199\) −6.72836 + 3.88462i −0.476961 + 0.275373i −0.719149 0.694856i \(-0.755468\pi\)
0.242188 + 0.970229i \(0.422135\pi\)
\(200\) −2.95359 + 4.03439i −0.208850 + 0.285275i
\(201\) 0.162837 0.923496i 0.0114857 0.0651384i
\(202\) 5.03532 + 4.22514i 0.354284 + 0.297280i
\(203\) 19.5321 + 7.10911i 1.37089 + 0.498961i
\(204\) −0.106794 + 0.293415i −0.00747710 + 0.0205432i
\(205\) 14.7740 11.0910i 1.03186 0.774630i
\(206\) −0.874487 + 4.95946i −0.0609284 + 0.345542i
\(207\) 3.24148 18.3834i 0.225299 1.27773i
\(208\) −2.47230 4.28215i −0.171423 0.296914i
\(209\) −18.8071 22.4134i −1.30091 1.55037i
\(210\) −0.300299 2.48297i −0.0207226 0.171341i
\(211\) −4.20188 + 7.27787i −0.289269 + 0.501029i −0.973636 0.228109i \(-0.926746\pi\)
0.684366 + 0.729139i \(0.260079\pi\)
\(212\) 1.79600 1.03692i 0.123350 0.0712161i
\(213\) 2.58182 3.07689i 0.176903 0.210825i
\(214\) 3.42055 + 1.97485i 0.233824 + 0.134998i
\(215\) −21.4002 1.16048i −1.45948 0.0791440i
\(216\) 1.68732i 0.114808i
\(217\) −1.06902 6.06272i −0.0725699 0.411564i
\(218\) 7.49564 + 8.93295i 0.507669 + 0.605016i
\(219\) 0.537076 + 0.195480i 0.0362923 + 0.0132093i
\(220\) 1.27396 + 10.5335i 0.0858903 + 0.710170i
\(221\) 5.41575 0.364303
\(222\) −1.63870 + 0.567177i −0.109983 + 0.0380664i
\(223\) 10.2334i 0.685281i 0.939467 + 0.342641i \(0.111321\pi\)
−0.939467 + 0.342641i \(0.888679\pi\)
\(224\) −1.34191 3.68686i −0.0896600 0.246339i
\(225\) 10.0994 + 10.5345i 0.673296 + 0.702300i
\(226\) −2.94915 + 2.47463i −0.196174 + 0.164610i
\(227\) 0.618230 + 3.50615i 0.0410333 + 0.232712i 0.998426 0.0560761i \(-0.0178589\pi\)
−0.957393 + 0.288788i \(0.906748\pi\)
\(228\) 1.75784 0.116416
\(229\) 4.87308 + 27.6366i 0.322022 + 1.82628i 0.529823 + 0.848108i \(0.322258\pi\)
−0.207801 + 0.978171i \(0.566631\pi\)
\(230\) −10.4413 9.77218i −0.688481 0.644359i
\(231\) −4.06571 3.41153i −0.267504 0.224462i
\(232\) 4.58799 2.64888i 0.301217 0.173907i
\(233\) −7.21015 4.16278i −0.472353 0.272713i 0.244871 0.969556i \(-0.421254\pi\)
−0.717224 + 0.696843i \(0.754588\pi\)
\(234\) −13.5616 + 4.93602i −0.886550 + 0.322678i
\(235\) −17.6873 + 8.97175i −1.15379 + 0.585253i
\(236\) −6.51499 + 3.76143i −0.424090 + 0.244848i
\(237\) −0.642991 + 3.64658i −0.0417667 + 0.236871i
\(238\) 4.23204 + 0.746223i 0.274323 + 0.0483705i
\(239\) 4.33602 5.16747i 0.280474 0.334256i −0.607354 0.794431i \(-0.707769\pi\)
0.887828 + 0.460175i \(0.152213\pi\)
\(240\) −0.533989 0.348156i −0.0344689 0.0224734i
\(241\) 0.373554 1.02633i 0.0240628 0.0661119i −0.927080 0.374864i \(-0.877689\pi\)
0.951142 + 0.308753i \(0.0999115\pi\)
\(242\) 8.82149 + 7.40211i 0.567067 + 0.475826i
\(243\) −7.30831 1.28865i −0.468828 0.0826671i
\(244\) 8.39900 + 1.48097i 0.537691 + 0.0948094i
\(245\) −17.9586 + 5.45490i −1.14734 + 0.348501i
\(246\) 1.51394 + 1.80424i 0.0965250 + 0.115034i
\(247\) −10.4278 28.6503i −0.663508 1.82297i
\(248\) −1.35886 0.784540i −0.0862879 0.0498183i
\(249\) −0.171778 0.297529i −0.0108860 0.0188551i
\(250\) 10.9864 2.07354i 0.694839 0.131142i
\(251\) 12.4419 + 7.18334i 0.785326 + 0.453408i 0.838315 0.545187i \(-0.183541\pi\)
−0.0529884 + 0.998595i \(0.516875\pi\)
\(252\) −11.2776 + 1.98854i −0.710421 + 0.125266i
\(253\) −30.3474 −1.90793
\(254\) 20.7636 3.66119i 1.30283 0.229723i
\(255\) 0.622677 0.315848i 0.0389936 0.0197792i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −9.52557 + 3.46702i −0.594189 + 0.216267i −0.621571 0.783358i \(-0.713505\pi\)
0.0273821 + 0.999625i \(0.491283\pi\)
\(258\) 2.73237i 0.170110i
\(259\) 11.6035 + 20.8548i 0.721009 + 1.29586i
\(260\) −2.50671 + 10.7686i −0.155459 + 0.667838i
\(261\) −5.28856 14.5302i −0.327354 0.899397i
\(262\) −2.72888 + 7.49753i −0.168591 + 0.463199i
\(263\) 16.0636 + 19.1439i 0.990526 + 1.18046i 0.983577 + 0.180487i \(0.0577673\pi\)
0.00694849 + 0.999976i \(0.497788\pi\)
\(264\) −1.33218 + 0.234899i −0.0819899 + 0.0144570i
\(265\) −4.51651 1.05135i −0.277447 0.0645841i
\(266\) −4.20100 23.8251i −0.257580 1.46081i
\(267\) 0.303886 0.526347i 0.0185975 0.0322119i
\(268\) −2.11438 + 2.51982i −0.129156 + 0.153922i
\(269\) 15.1500 + 26.2406i 0.923714 + 1.59992i 0.793616 + 0.608419i \(0.208196\pi\)
0.130098 + 0.991501i \(0.458471\pi\)
\(270\) −2.57816 + 2.75470i −0.156902 + 0.167645i
\(271\) 14.7429 5.36599i 0.895570 0.325961i 0.147094 0.989123i \(-0.453008\pi\)
0.748476 + 0.663162i \(0.230786\pi\)
\(272\) 0.839038 0.704036i 0.0508741 0.0426885i
\(273\) −2.76530 4.78963i −0.167363 0.289882i
\(274\) 0.298784 + 0.0526837i 0.0180502 + 0.00318274i
\(275\) 14.0150 19.1435i 0.845134 1.15439i
\(276\) 1.17197 1.39670i 0.0705442 0.0840714i
\(277\) 24.7469 + 9.00715i 1.48690 + 0.541187i 0.952631 0.304127i \(-0.0983648\pi\)
0.534269 + 0.845315i \(0.320587\pi\)
\(278\) 2.64221 + 0.961687i 0.158469 + 0.0576781i
\(279\) −2.94379 + 3.50827i −0.176240 + 0.210034i
\(280\) −3.44259 + 8.06951i −0.205734 + 0.482245i
\(281\) 15.1911 + 2.67859i 0.906223 + 0.159792i 0.607288 0.794482i \(-0.292258\pi\)
0.298935 + 0.954273i \(0.403369\pi\)
\(282\) −1.26425 2.18975i −0.0752852 0.130398i
\(283\) −20.8128 + 17.4640i −1.23719 + 1.03813i −0.239455 + 0.970907i \(0.576969\pi\)
−0.997738 + 0.0672212i \(0.978587\pi\)
\(284\) −13.2396 + 4.81882i −0.785626 + 0.285944i
\(285\) −2.86983 2.68591i −0.169994 0.159100i
\(286\) 11.7312 + 20.3191i 0.693682 + 1.20149i
\(287\) 20.8358 24.8311i 1.22990 1.46573i
\(288\) −1.45936 + 2.52769i −0.0859939 + 0.148946i
\(289\) −2.74370 15.5603i −0.161394 0.915312i
\(290\) −11.5377 2.68574i −0.677516 0.157712i
\(291\) −2.84927 + 0.502403i −0.167027 + 0.0294514i
\(292\) −1.28869 1.53580i −0.0754149 0.0898760i
\(293\) 6.01964 16.5388i 0.351671 0.966208i −0.630163 0.776463i \(-0.717012\pi\)
0.981833 0.189745i \(-0.0607660\pi\)
\(294\) −0.818414 2.24857i −0.0477308 0.131139i
\(295\) 16.3836 + 3.81378i 0.953890 + 0.222047i
\(296\) 5.97285 + 1.15112i 0.347165 + 0.0669075i
\(297\) 8.00644i 0.464581i
\(298\) −14.5540 + 5.29723i −0.843092 + 0.306860i
\(299\) −29.7165 10.8159i −1.71855 0.625500i
\(300\) 0.339816 + 1.38431i 0.0196193 + 0.0799231i
\(301\) −37.0334 + 6.52999i −2.13457 + 0.376382i
\(302\) 3.89330 0.224035
\(303\) 1.84541 0.325396i 0.106016 0.0186935i
\(304\) −5.34001 3.08306i −0.306270 0.176825i
\(305\) −11.4492 15.2511i −0.655582 0.873278i
\(306\) −1.59842 2.76855i −0.0913757 0.158267i
\(307\) 12.6852 + 7.32379i 0.723981 + 0.417991i 0.816216 0.577747i \(-0.196068\pi\)
−0.0922351 + 0.995737i \(0.529401\pi\)
\(308\) 6.36744 + 17.4944i 0.362819 + 0.996836i
\(309\) 0.922825 + 1.09978i 0.0524977 + 0.0625643i
\(310\) 1.01972 + 3.35712i 0.0579160 + 0.190671i
\(311\) −7.40264 1.30529i −0.419765 0.0740159i −0.0402239 0.999191i \(-0.512807\pi\)
−0.379541 + 0.925175i \(0.623918\pi\)
\(312\) −1.38820 0.244777i −0.0785913 0.0138578i
\(313\) −26.1751 21.9635i −1.47951 1.24145i −0.906711 0.421753i \(-0.861415\pi\)
−0.572795 0.819699i \(-0.694141\pi\)
\(314\) 3.91153 10.7468i 0.220740 0.606479i
\(315\) 21.4501 + 13.9852i 1.20857 + 0.787979i
\(316\) 8.34897 9.94992i 0.469667 0.559727i
\(317\) −12.5100 2.20585i −0.702631 0.123893i −0.189092 0.981959i \(-0.560555\pi\)
−0.513539 + 0.858067i \(0.671666\pi\)
\(318\) 0.102663 0.582233i 0.00575708 0.0326500i
\(319\) −21.7703 + 12.5691i −1.21890 + 0.703735i
\(320\) 1.01154 + 1.99419i 0.0565466 + 0.111479i
\(321\) 1.05808 0.385111i 0.0590564 0.0214948i
\(322\) −21.7311 12.5465i −1.21103 0.699186i
\(323\) 5.84884 3.37683i 0.325438 0.187892i
\(324\) 6.33914 + 5.31917i 0.352175 + 0.295510i
\(325\) 20.5463 13.7505i 1.13971 0.762739i
\(326\) 2.37185 + 13.4514i 0.131365 + 0.745006i
\(327\) 3.32437 0.183838
\(328\) −1.43463 8.13621i −0.0792144 0.449247i
\(329\) −26.6576 + 22.3684i −1.46968 + 1.23321i
\(330\) 2.53381 + 1.65202i 0.139482 + 0.0909408i
\(331\) −0.457673 1.25744i −0.0251560 0.0691154i 0.926479 0.376346i \(-0.122820\pi\)
−0.951635 + 0.307231i \(0.900598\pi\)
\(332\) 1.20512i 0.0661394i
\(333\) 6.33600 16.5849i 0.347210 0.908844i
\(334\) −2.97793 −0.162945
\(335\) 7.30208 0.883137i 0.398955 0.0482509i
\(336\) −1.05106 0.382553i −0.0573398 0.0208700i
\(337\) 22.6970 + 27.0492i 1.23638 + 1.47346i 0.828075 + 0.560618i \(0.189436\pi\)
0.408307 + 0.912845i \(0.366119\pi\)
\(338\) 1.98812 + 11.2752i 0.108139 + 0.613288i
\(339\) 1.09752i 0.0596090i
\(340\) −2.44554 0.132615i −0.132628 0.00719207i
\(341\) 6.44789 + 3.72269i 0.349173 + 0.201595i
\(342\) −11.5684 + 13.7867i −0.625546 + 0.745497i
\(343\) −4.73548 + 2.73403i −0.255692 + 0.147624i
\(344\) −4.79227 + 8.30045i −0.258382 + 0.447530i
\(345\) −4.04744 + 0.489510i −0.217907 + 0.0263543i
\(346\) −7.17273 8.54813i −0.385609 0.459550i
\(347\) −9.73927 16.8689i −0.522831 0.905570i −0.999647 0.0265672i \(-0.991542\pi\)
0.476816 0.879003i \(-0.341791\pi\)
\(348\) 0.262260 1.48735i 0.0140586 0.0797302i
\(349\) −4.79188 + 27.1761i −0.256504 + 1.45470i 0.535680 + 0.844421i \(0.320055\pi\)
−0.792183 + 0.610283i \(0.791056\pi\)
\(350\) 17.9502 7.91402i 0.959479 0.423022i
\(351\) −2.85352 + 7.83997i −0.152309 + 0.418467i
\(352\) 4.45890 + 1.62291i 0.237660 + 0.0865013i
\(353\) 13.1539 + 11.0374i 0.700109 + 0.587462i 0.921805 0.387654i \(-0.126715\pi\)
−0.221695 + 0.975116i \(0.571159\pi\)
\(354\) −0.372411 + 2.11205i −0.0197934 + 0.112254i
\(355\) 28.9778 + 12.3624i 1.53798 + 0.656129i
\(356\) −1.84630 + 1.06596i −0.0978538 + 0.0564959i
\(357\) 0.938472 0.787472i 0.0496692 0.0416774i
\(358\) −2.41031 6.62226i −0.127389 0.349997i
\(359\) −14.2286 + 24.6447i −0.750958 + 1.30070i 0.196401 + 0.980524i \(0.437075\pi\)
−0.947359 + 0.320173i \(0.896259\pi\)
\(360\) 6.24475 1.89683i 0.329127 0.0999717i
\(361\) −14.5709 12.2264i −0.766888 0.643495i
\(362\) −3.08671 + 5.34634i −0.162234 + 0.280997i
\(363\) 3.23302 0.570069i 0.169690 0.0299208i
\(364\) 19.4000i 1.01684i
\(365\) −0.242743 + 4.47640i −0.0127058 + 0.234305i
\(366\) 1.86251 1.56283i 0.0973551 0.0816906i
\(367\) −7.39625 + 20.3210i −0.386081 + 1.06075i 0.582669 + 0.812710i \(0.302009\pi\)
−0.968750 + 0.248040i \(0.920214\pi\)
\(368\) −6.00988 + 2.18742i −0.313286 + 0.114027i
\(369\) −24.1137 −1.25531
\(370\) −7.99233 11.0056i −0.415501 0.572153i
\(371\) −8.13669 −0.422436
\(372\) −0.420339 + 0.152991i −0.0217936 + 0.00793221i
\(373\) 6.69756 18.4014i 0.346787 0.952788i −0.636589 0.771204i \(-0.719655\pi\)
0.983375 0.181585i \(-0.0581227\pi\)
\(374\) −3.98129 + 3.34070i −0.205867 + 0.172743i
\(375\) 1.56039 2.77923i 0.0805781 0.143519i
\(376\) 8.86943i 0.457406i
\(377\) −25.7973 + 4.54877i −1.32863 + 0.234273i
\(378\) −3.31008 + 5.73323i −0.170252 + 0.294885i
\(379\) −11.7288 9.84161i −0.602467 0.505530i 0.289771 0.957096i \(-0.406421\pi\)
−0.892238 + 0.451566i \(0.850865\pi\)
\(380\) 4.00724 + 13.1927i 0.205567 + 0.676770i
\(381\) 3.00532 5.20537i 0.153967 0.266679i
\(382\) 4.03504 + 11.0862i 0.206450 + 0.567218i
\(383\) −0.520356 + 0.436631i −0.0265890 + 0.0223108i −0.655985 0.754774i \(-0.727747\pi\)
0.629396 + 0.777084i \(0.283302\pi\)
\(384\) −0.246888 + 0.142541i −0.0125989 + 0.00727400i
\(385\) 16.3353 38.2903i 0.832526 1.95146i
\(386\) −3.86618 + 21.9262i −0.196783 + 1.11601i
\(387\) 21.4298 + 17.9818i 1.08934 + 0.914065i
\(388\) 9.53672 + 3.47108i 0.484153 + 0.176217i
\(389\) 0.479563 1.31759i 0.0243148 0.0668044i −0.926941 0.375206i \(-0.877572\pi\)
0.951256 + 0.308402i \(0.0997941\pi\)
\(390\) 1.89235 + 2.52073i 0.0958227 + 0.127642i
\(391\) 1.21640 6.89856i 0.0615161 0.348875i
\(392\) −1.45755 + 8.26616i −0.0736172 + 0.417504i
\(393\) 1.13729 + 1.96985i 0.0573687 + 0.0993656i
\(394\) −9.76578 11.6384i −0.491993 0.586334i
\(395\) −28.8335 + 3.48722i −1.45077 + 0.175461i
\(396\) 6.92478 11.9941i 0.347983 0.602725i
\(397\) 13.5028 7.79582i 0.677684 0.391261i −0.121298 0.992616i \(-0.538706\pi\)
0.798982 + 0.601355i \(0.205372\pi\)
\(398\) 4.99397 5.95158i 0.250325 0.298326i
\(399\) −5.97286 3.44843i −0.299017 0.172637i
\(400\) 1.39562 4.80128i 0.0697810 0.240064i
\(401\) 26.4483i 1.32076i −0.750930 0.660382i \(-0.770394\pi\)
0.750930 0.660382i \(-0.229606\pi\)
\(402\) 0.162837 + 0.923496i 0.00812159 + 0.0460598i
\(403\) 4.98705 + 5.94334i 0.248423 + 0.296059i
\(404\) −6.17674 2.24815i −0.307304 0.111850i
\(405\) −2.22172 18.3700i −0.110398 0.912811i
\(406\) −20.7856 −1.03157
\(407\) −28.3416 5.46214i −1.40484 0.270748i
\(408\) 0.312246i 0.0154585i
\(409\) −4.11109 11.2951i −0.203280 0.558508i 0.795600 0.605823i \(-0.207156\pi\)
−0.998880 + 0.0473148i \(0.984934\pi\)
\(410\) −10.0896 + 15.4751i −0.498292 + 0.764263i
\(411\) 0.0662566 0.0555959i 0.00326820 0.00274234i
\(412\) −0.874487 4.95946i −0.0430829 0.244335i
\(413\) 29.5158 1.45238
\(414\) 3.24148 + 18.3834i 0.159310 + 0.903493i
\(415\) 1.84137 1.96746i 0.0903893 0.0965788i
\(416\) 3.78779 + 3.17833i 0.185711 + 0.155830i
\(417\) 0.694195 0.400794i 0.0339949 0.0196270i
\(418\) 25.3387 + 14.6293i 1.23936 + 0.715542i
\(419\) 16.8522 6.13371i 0.823285 0.299651i 0.104185 0.994558i \(-0.466777\pi\)
0.719100 + 0.694907i \(0.244554\pi\)
\(420\) 1.13141 + 2.23052i 0.0552074 + 0.108838i
\(421\) −3.74128 + 2.16003i −0.182339 + 0.105274i −0.588391 0.808576i \(-0.700238\pi\)
0.406052 + 0.913850i \(0.366905\pi\)
\(422\) 1.45930 8.27609i 0.0710375 0.402874i
\(423\) 25.4942 + 4.49531i 1.23957 + 0.218569i
\(424\) −1.33304 + 1.58866i −0.0647383 + 0.0771520i
\(425\) 3.78993 + 3.95319i 0.183838 + 0.191758i
\(426\) −1.37376 + 3.77436i −0.0665587 + 0.182868i
\(427\) −25.6331 21.5087i −1.24047 1.04088i
\(428\) −3.88970 0.685860i −0.188016 0.0331523i
\(429\) 6.58710 + 1.16148i 0.318028 + 0.0560769i
\(430\) 20.5066 6.22882i 0.988914 0.300380i
\(431\) 16.2455 + 19.3606i 0.782516 + 0.932566i 0.999044 0.0437100i \(-0.0139178\pi\)
−0.216528 + 0.976276i \(0.569473\pi\)
\(432\) 0.577097 + 1.58556i 0.0277656 + 0.0762854i
\(433\) −5.48945 3.16933i −0.263806 0.152308i 0.362263 0.932076i \(-0.382004\pi\)
−0.626070 + 0.779767i \(0.715337\pi\)
\(434\) 3.07812 + 5.33147i 0.147755 + 0.255919i
\(435\) −2.70077 + 2.02750i −0.129492 + 0.0972113i
\(436\) −10.0988 5.83057i −0.483647 0.279234i
\(437\) −38.8367 + 6.84796i −1.85781 + 0.327582i
\(438\) −0.571545 −0.0273095
\(439\) 17.6118 3.10544i 0.840567 0.148215i 0.263243 0.964730i \(-0.415208\pi\)
0.577324 + 0.816515i \(0.304097\pi\)
\(440\) −4.79981 9.46256i −0.228822 0.451110i
\(441\) 23.0214 + 8.37910i 1.09626 + 0.399005i
\(442\) −5.08914 + 1.85230i −0.242066 + 0.0881048i
\(443\) 15.2523i 0.724660i −0.932050 0.362330i \(-0.881981\pi\)
0.932050 0.362330i \(-0.118019\pi\)
\(444\) 1.34589 1.09344i 0.0638733 0.0518924i
\(445\) 4.64300 + 1.08080i 0.220099 + 0.0512347i
\(446\) −3.50004 9.61628i −0.165732 0.455344i
\(447\) −1.51014 + 4.14908i −0.0714273 + 0.196245i
\(448\) 2.52196 + 3.00556i 0.119152 + 0.141999i
\(449\) 7.49113 1.32089i 0.353528 0.0623366i 0.00593601 0.999982i \(-0.498110\pi\)
0.347592 + 0.937646i \(0.386999\pi\)
\(450\) −13.0934 6.44499i −0.617228 0.303820i
\(451\) 6.80743 + 38.6069i 0.320549 + 1.81793i
\(452\) 1.92492 3.33406i 0.0905406 0.156821i
\(453\) 0.713436 0.850240i 0.0335201 0.0399477i
\(454\) −1.78012 3.08326i −0.0835452 0.144705i
\(455\) 29.6425 31.6723i 1.38966 1.48482i
\(456\) −1.65183 + 0.601218i −0.0773542 + 0.0281546i
\(457\) −15.4206 + 12.9394i −0.721346 + 0.605281i −0.927757 0.373184i \(-0.878266\pi\)
0.206411 + 0.978465i \(0.433822\pi\)
\(458\) −14.0315 24.3032i −0.655648 1.13562i
\(459\) −1.82002 0.320919i −0.0849513 0.0149792i
\(460\) 13.1539 + 5.61170i 0.613305 + 0.261647i
\(461\) 22.5009 26.8155i 1.04797 1.24892i 0.0802815 0.996772i \(-0.474418\pi\)
0.967688 0.252150i \(-0.0811375\pi\)
\(462\) 4.98733 + 1.81524i 0.232032 + 0.0844526i
\(463\) −8.65845 3.15142i −0.402393 0.146459i 0.132892 0.991130i \(-0.457574\pi\)
−0.535285 + 0.844672i \(0.679796\pi\)
\(464\) −3.40533 + 4.05832i −0.158089 + 0.188403i
\(465\) 0.920004 + 0.392490i 0.0426641 + 0.0182013i
\(466\) 8.19908 + 1.44572i 0.379815 + 0.0669716i
\(467\) 2.35150 + 4.07292i 0.108815 + 0.188472i 0.915290 0.402795i \(-0.131961\pi\)
−0.806476 + 0.591267i \(0.798628\pi\)
\(468\) 11.0555 9.27668i 0.511042 0.428815i
\(469\) 12.1275 4.41405i 0.559996 0.203822i
\(470\) 13.5521 14.4801i 0.625113 0.667918i
\(471\) −1.63017 2.82354i −0.0751144 0.130102i
\(472\) 4.83560 5.76285i 0.222577 0.265256i
\(473\) 22.7396 39.3862i 1.04557 1.81098i
\(474\) −0.642991 3.64658i −0.0295335 0.167493i
\(475\) 13.6157 27.6611i 0.624731 1.26918i
\(476\) −4.23204 + 0.746223i −0.193975 + 0.0342031i
\(477\) 3.89079 + 4.63686i 0.178147 + 0.212307i
\(478\) −2.30715 + 6.33884i −0.105527 + 0.289932i
\(479\) 11.3868 + 31.2851i 0.520277 + 1.42945i 0.870213 + 0.492677i \(0.163981\pi\)
−0.349935 + 0.936774i \(0.613796\pi\)
\(480\) 0.620862 + 0.144524i 0.0283383 + 0.00659660i
\(481\) −25.8056 15.4496i −1.17663 0.704440i
\(482\) 1.09220i 0.0497484i
\(483\) −6.72211 + 2.44665i −0.305867 + 0.111326i
\(484\) −10.8212 3.93858i −0.491871 0.179026i
\(485\) −10.2658 20.2386i −0.466148 0.918985i
\(486\) 7.30831 1.28865i 0.331512 0.0584545i
\(487\) −1.52334 −0.0690291 −0.0345146 0.999404i \(-0.510989\pi\)
−0.0345146 + 0.999404i \(0.510989\pi\)
\(488\) −8.39900 + 1.48097i −0.380205 + 0.0670404i
\(489\) 3.37222 + 1.94695i 0.152497 + 0.0880443i
\(490\) 15.0099 11.2681i 0.678079 0.509043i
\(491\) 7.59131 + 13.1485i 0.342591 + 0.593385i 0.984913 0.173050i \(-0.0553622\pi\)
−0.642322 + 0.766435i \(0.722029\pi\)
\(492\) −2.03972 1.17763i −0.0919577 0.0530918i
\(493\) −1.98459 5.45262i −0.0893815 0.245574i
\(494\) 19.5979 + 23.3559i 0.881753 + 1.05083i
\(495\) −29.6317 + 9.00058i −1.33185 + 0.404546i
\(496\) 1.54524 + 0.272468i 0.0693834 + 0.0122342i
\(497\) 54.4392 + 9.59910i 2.44193 + 0.430578i
\(498\) 0.263180 + 0.220834i 0.0117934 + 0.00989581i
\(499\) 0.571903 1.57129i 0.0256019 0.0703406i −0.926233 0.376951i \(-0.876973\pi\)
0.951835 + 0.306610i \(0.0991948\pi\)
\(500\) −9.61462 + 5.70605i −0.429979 + 0.255182i
\(501\) −0.545697 + 0.650336i −0.0243799 + 0.0290549i
\(502\) −14.1484 2.49475i −0.631475 0.111346i
\(503\) −5.54967 + 31.4737i −0.247447 + 1.40334i 0.567292 + 0.823517i \(0.307991\pi\)
−0.814740 + 0.579827i \(0.803120\pi\)
\(504\) 9.91735 5.72578i 0.441754 0.255047i
\(505\) 6.64898 + 13.1081i 0.295876 + 0.583303i
\(506\) 28.5173 10.3794i 1.26775 0.461422i
\(507\) 2.82664 + 1.63196i 0.125536 + 0.0724780i
\(508\) −18.2592 + 10.5420i −0.810122 + 0.467724i
\(509\) −19.8629 16.6669i −0.880406 0.738749i 0.0858562 0.996308i \(-0.472637\pi\)
−0.966263 + 0.257559i \(0.917082\pi\)
\(510\) −0.477099 + 0.509768i −0.0211263 + 0.0225729i
\(511\) 1.36591 + 7.74647i 0.0604244 + 0.342684i
\(512\) 1.00000 0.0441942
\(513\) 1.80667 + 10.2461i 0.0797664 + 0.452378i
\(514\) 7.76531 6.51587i 0.342513 0.287403i
\(515\) −6.15018 + 9.43293i −0.271009 + 0.415665i
\(516\) 0.934527 + 2.56759i 0.0411403 + 0.113032i
\(517\) 42.0860i 1.85094i
\(518\) −18.0365 15.6285i −0.792480 0.686676i
\(519\) −3.18116 −0.139638
\(520\) −1.32753 10.9765i −0.0582161 0.481351i
\(521\) −8.00476 2.91349i −0.350695 0.127642i 0.160665 0.987009i \(-0.448636\pi\)
−0.511360 + 0.859366i \(0.670858\pi\)
\(522\) 9.93924 + 11.8451i 0.435029 + 0.518447i
\(523\) 3.95789 + 22.4463i 0.173067 + 0.981510i 0.940352 + 0.340204i \(0.110496\pi\)
−0.767285 + 0.641306i \(0.778393\pi\)
\(524\) 7.97871i 0.348552i
\(525\) 1.56101 5.37028i 0.0681283 0.234378i
\(526\) −21.6425 12.4953i −0.943657 0.544820i
\(527\) −1.10469 + 1.31652i −0.0481210 + 0.0573484i
\(528\) 1.17150 0.676365i 0.0509829 0.0294350i
\(529\) −8.95170 + 15.5048i −0.389204 + 0.674122i
\(530\) 4.60371 0.556788i 0.199972 0.0241853i
\(531\) −14.1138 16.8202i −0.612487 0.729934i
\(532\) 12.0963 + 20.9514i 0.524441 + 0.908359i
\(533\) −7.09370 + 40.2304i −0.307262 + 1.74257i
\(534\) −0.105539 + 0.598539i −0.00456710 + 0.0259013i
\(535\) 5.30231 + 7.06304i 0.229239 + 0.305362i
\(536\) 1.12504 3.09101i 0.0485942 0.133511i
\(537\) −1.88788 0.687133i −0.0814682 0.0296520i
\(538\) −23.2112 19.4765i −1.00071 0.839692i
\(539\) 6.91615 39.2234i 0.297900 1.68947i
\(540\) 1.48051 3.47035i 0.0637111 0.149340i
\(541\) 1.39356 0.804569i 0.0599136 0.0345911i −0.469744 0.882803i \(-0.655654\pi\)
0.529658 + 0.848212i \(0.322320\pi\)
\(542\) −12.0186 + 10.0848i −0.516241 + 0.433178i
\(543\) 0.601931 + 1.65379i 0.0258313 + 0.0709710i
\(544\) −0.547643 + 0.948545i −0.0234800 + 0.0406685i
\(545\) 7.57836 + 24.9495i 0.324621 + 1.06872i
\(546\) 4.23668 + 3.55500i 0.181313 + 0.152140i
\(547\) −1.96370 + 3.40123i −0.0839617 + 0.145426i −0.904948 0.425522i \(-0.860091\pi\)
0.820987 + 0.570947i \(0.193424\pi\)
\(548\) −0.298784 + 0.0526837i −0.0127634 + 0.00225054i
\(549\) 24.8926i 1.06239i
\(550\) −6.62230 + 22.7824i −0.282376 + 0.971443i
\(551\) −25.0240 + 20.9977i −1.06606 + 0.894530i
\(552\) −0.623592 + 1.71330i −0.0265418 + 0.0729231i
\(553\) −47.8876 + 17.4296i −2.03639 + 0.741184i
\(554\) −26.3352 −1.11887
\(555\) −3.86802 0.271331i −0.164188 0.0115174i
\(556\) −2.81178 −0.119246
\(557\) −11.8932 + 4.32876i −0.503929 + 0.183415i −0.581461 0.813575i \(-0.697519\pi\)
0.0775311 + 0.996990i \(0.475296\pi\)
\(558\) 1.56636 4.30353i 0.0663091 0.182183i
\(559\) 36.3042 30.4628i 1.53550 1.28844i
\(560\) 0.475048 8.76029i 0.0200744 0.370190i
\(561\) 1.48163i 0.0625543i
\(562\) −15.1911 + 2.67859i −0.640796 + 0.112990i
\(563\) 2.87439 4.97858i 0.121141 0.209822i −0.799077 0.601229i \(-0.794678\pi\)
0.920218 + 0.391407i \(0.128011\pi\)
\(564\) 1.93695 + 1.62529i 0.0815603 + 0.0684372i
\(565\) −8.23690 + 2.50194i −0.346529 + 0.105257i
\(566\) 13.5846 23.5292i 0.571003 0.989007i
\(567\) −11.1045 30.5094i −0.466346 1.28127i
\(568\) 10.7930 9.05642i 0.452865 0.379999i
\(569\) 13.1345 7.58320i 0.550626 0.317904i −0.198748 0.980051i \(-0.563688\pi\)
0.749375 + 0.662146i \(0.230354\pi\)
\(570\) 3.61540 + 1.54239i 0.151432 + 0.0646037i
\(571\) 4.01872 22.7913i 0.168178 0.953787i −0.777548 0.628823i \(-0.783537\pi\)
0.945727 0.324963i \(-0.105352\pi\)
\(572\) −17.9733 15.0814i −0.751501 0.630584i
\(573\) 3.16046 + 1.15031i 0.132030 + 0.0480551i
\(574\) −11.0865 + 30.4599i −0.462741 + 1.27137i
\(575\) −12.9005 29.2603i −0.537987 1.22024i
\(576\) 0.506832 2.87439i 0.0211180 0.119766i
\(577\) −3.50259 + 19.8642i −0.145815 + 0.826957i 0.820895 + 0.571080i \(0.193475\pi\)
−0.966709 + 0.255877i \(0.917636\pi\)
\(578\) 7.90017 + 13.6835i 0.328604 + 0.569159i
\(579\) 4.07989 + 4.86222i 0.169554 + 0.202067i
\(580\) 11.7604 1.42235i 0.488326 0.0590597i
\(581\) 2.36413 4.09479i 0.0980805 0.169880i
\(582\) 2.50560 1.44661i 0.103861 0.0599640i
\(583\) 6.32537 7.53828i 0.261970 0.312204i
\(584\) 1.73625 + 1.00242i 0.0718465 + 0.0414806i
\(585\) −32.2235 1.74739i −1.33228 0.0722459i
\(586\) 17.6002i 0.727059i
\(587\) −3.44552 19.5405i −0.142212 0.806522i −0.969564 0.244839i \(-0.921265\pi\)
0.827352 0.561684i \(-0.189846\pi\)
\(588\) 1.53811 + 1.83305i 0.0634308 + 0.0755938i
\(589\) 9.09164 + 3.30908i 0.374614 + 0.136348i
\(590\) −16.6999 + 2.01974i −0.687525 + 0.0831515i
\(591\) −4.33120 −0.178162
\(592\) −6.00635 + 0.961135i −0.246859 + 0.0395024i
\(593\) 0.646145i 0.0265340i −0.999912 0.0132670i \(-0.995777\pi\)
0.999912 0.0132670i \(-0.00422314\pi\)
\(594\) −2.73836 7.52359i −0.112356 0.308697i
\(595\) 8.04938 + 5.24812i 0.329992 + 0.215152i
\(596\) 11.8645 9.95554i 0.485991 0.407795i
\(597\) −0.384607 2.18122i −0.0157409 0.0892713i
\(598\) 31.6236 1.29318
\(599\) 3.00165 + 17.0232i 0.122644 + 0.695549i 0.982679 + 0.185315i \(0.0593304\pi\)
−0.860035 + 0.510235i \(0.829558\pi\)
\(600\) −0.792784 1.18460i −0.0323653 0.0483611i
\(601\) 8.56335 + 7.18550i 0.349306 + 0.293103i 0.800511 0.599318i \(-0.204561\pi\)
−0.451205 + 0.892420i \(0.649006\pi\)
\(602\) 32.5666 18.8024i 1.32732 0.766327i
\(603\) −8.31456 4.80041i −0.338595 0.195488i
\(604\) −3.65851 + 1.33159i −0.148863 + 0.0541816i
\(605\) 11.6485 + 22.9644i 0.473579 + 0.933634i
\(606\) −1.62283 + 0.936941i −0.0659229 + 0.0380606i
\(607\) −1.43293 + 8.12655i −0.0581608 + 0.329846i −0.999980 0.00627265i \(-0.998003\pi\)
0.941820 + 0.336119i \(0.109114\pi\)
\(608\) 6.07243 + 1.07073i 0.246270 + 0.0434240i
\(609\) −3.80890 + 4.53927i −0.154344 + 0.183941i
\(610\) 15.9750 + 10.4155i 0.646807 + 0.421712i
\(611\) 14.9996 41.2110i 0.606817 1.66722i
\(612\) 2.44892 + 2.05489i 0.0989919 + 0.0830640i
\(613\) −24.8365 4.37934i −1.00313 0.176880i −0.352128 0.935952i \(-0.614542\pi\)
−0.651007 + 0.759072i \(0.725653\pi\)
\(614\) −14.4250 2.54353i −0.582148 0.102648i
\(615\) 1.53064 + 5.03920i 0.0617215 + 0.203200i
\(616\) −11.9669 14.2616i −0.482159 0.574615i
\(617\) −1.85891 5.10733i −0.0748371 0.205613i 0.896633 0.442774i \(-0.146005\pi\)
−0.971470 + 0.237161i \(0.923783\pi\)
\(618\) −1.24332 0.717831i −0.0500136 0.0288754i
\(619\) −0.0863495 0.149562i −0.00347068 0.00601139i 0.864285 0.503003i \(-0.167771\pi\)
−0.867756 + 0.496991i \(0.834438\pi\)
\(620\) −2.10642 2.80589i −0.0845959 0.112687i
\(621\) 9.34561 + 5.39569i 0.375026 + 0.216522i
\(622\) 7.40264 1.30529i 0.296819 0.0523372i
\(623\) 8.36457 0.335119
\(624\) 1.38820 0.244777i 0.0555724 0.00979892i
\(625\) 24.4153 + 5.37513i 0.976613 + 0.215005i
\(626\) 32.1085 + 11.6866i 1.28332 + 0.467089i
\(627\) 7.83805 2.85282i 0.313022 0.113931i
\(628\) 11.4365i 0.456368i
\(629\) 2.37765 6.22365i 0.0948033 0.248153i
\(630\) −24.9397 5.80547i −0.993621 0.231295i
\(631\) −5.37382 14.7644i −0.213928 0.587763i 0.785592 0.618745i \(-0.212359\pi\)
−0.999520 + 0.0309822i \(0.990136\pi\)
\(632\) −4.44240 + 12.2054i −0.176709 + 0.485504i
\(633\) −1.53996 1.83526i −0.0612080 0.0729449i
\(634\) 12.5100 2.20585i 0.496835 0.0876054i
\(635\) 45.9175 + 10.6887i 1.82218 + 0.424167i
\(636\) 0.102663 + 0.582233i 0.00407087 + 0.0230870i
\(637\) 20.7517 35.9430i 0.822212 1.42411i
\(638\) 16.1585 19.2570i 0.639722 0.762391i
\(639\) −20.5614 35.6134i −0.813396 1.40884i
\(640\) −1.63259 1.52796i −0.0645337 0.0603979i
\(641\) 28.5555 10.3933i 1.12787 0.410513i 0.290354 0.956919i \(-0.406227\pi\)
0.837520 + 0.546407i \(0.184005\pi\)
\(642\) −0.862557 + 0.723772i −0.0340424 + 0.0285650i
\(643\) 8.00273 + 13.8611i 0.315597 + 0.546630i 0.979564 0.201132i \(-0.0644620\pi\)
−0.663967 + 0.747762i \(0.731129\pi\)
\(644\) 24.7117 + 4.35734i 0.973777 + 0.171703i
\(645\) 2.39748 5.61974i 0.0944007 0.221277i
\(646\) −4.34117 + 5.17360i −0.170801 + 0.203553i
\(647\) −21.5776 7.85359i −0.848301 0.308756i −0.118954 0.992900i \(-0.537954\pi\)
−0.729347 + 0.684143i \(0.760176\pi\)
\(648\) −7.77611 2.83027i −0.305474 0.111184i
\(649\) −22.9452 + 27.3451i −0.900680 + 1.07339i
\(650\) −14.6043 + 19.9485i −0.572828 + 0.782444i
\(651\) 1.72837 + 0.304758i 0.0677401 + 0.0119444i
\(652\) −6.82947 11.8290i −0.267463 0.463259i
\(653\) 12.0815 10.1376i 0.472784 0.396713i −0.375025 0.927015i \(-0.622366\pi\)
0.847809 + 0.530302i \(0.177921\pi\)
\(654\) −3.12389 + 1.13700i −0.122154 + 0.0444603i
\(655\) −12.1911 + 13.0259i −0.476347 + 0.508965i
\(656\) 4.13086 + 7.15487i 0.161283 + 0.279351i
\(657\) 3.76134 4.48259i 0.146744 0.174882i
\(658\) 17.3995 30.1368i 0.678303 1.17486i
\(659\) 2.22149 + 12.5987i 0.0865368 + 0.490775i 0.997014 + 0.0772162i \(0.0246032\pi\)
−0.910478 + 0.413558i \(0.864286\pi\)
\(660\) −2.94603 0.685777i −0.114674 0.0266939i
\(661\) −30.2384 + 5.33185i −1.17614 + 0.207385i −0.727359 0.686258i \(-0.759252\pi\)
−0.448780 + 0.893642i \(0.648141\pi\)
\(662\) 0.860143 + 1.02508i 0.0334304 + 0.0398408i
\(663\) −0.528055 + 1.45082i −0.0205080 + 0.0563452i
\(664\) −0.412174 1.13244i −0.0159955 0.0439472i
\(665\) 12.2646 52.6876i 0.475602 2.04314i
\(666\) −0.281535 + 17.7517i −0.0109093 + 0.687864i
\(667\) 33.8822i 1.31192i
\(668\) 2.79834 1.01851i 0.108271 0.0394075i
\(669\) −2.74142 0.997796i −0.105990 0.0385770i
\(670\) −6.55966 + 3.32733i −0.253422 + 0.128546i
\(671\) 39.8538 7.02730i 1.53854 0.271286i
\(672\) 1.11851 0.0431475
\(673\) −9.84612 + 1.73614i −0.379540 + 0.0669231i −0.360164 0.932889i \(-0.617279\pi\)
−0.0193762 + 0.999812i \(0.506168\pi\)
\(674\) −30.5795 17.6551i −1.17788 0.680049i
\(675\) −7.71962 + 3.40348i −0.297128 + 0.131000i
\(676\) −5.72455 9.91521i −0.220175 0.381354i
\(677\) 31.4632 + 18.1653i 1.20923 + 0.698148i 0.962591 0.270960i \(-0.0873410\pi\)
0.246637 + 0.969108i \(0.420674\pi\)
\(678\) −0.375373 1.03133i −0.0144161 0.0396079i
\(679\) −25.5948 30.5027i −0.982238 1.17059i
\(680\) 2.34341 0.711807i 0.0898658 0.0272965i
\(681\) −0.999539 0.176246i −0.0383024 0.00675375i
\(682\) −7.33227 1.29288i −0.280767 0.0495068i
\(683\) 32.9756 + 27.6698i 1.26178 + 1.05876i 0.995490 + 0.0948615i \(0.0302408\pi\)
0.266285 + 0.963894i \(0.414204\pi\)
\(684\) 6.15541 16.9118i 0.235358 0.646640i
\(685\) 0.568290 + 0.370519i 0.0217132 + 0.0141568i
\(686\) 3.51480 4.18877i 0.134196 0.159928i
\(687\) −7.87869 1.38923i −0.300591 0.0530022i
\(688\) 1.66434 9.43893i 0.0634523 0.359856i
\(689\) 8.88052 5.12717i 0.338321 0.195330i
\(690\) 3.63593 1.84430i 0.138417 0.0702111i
\(691\) −10.9649 + 3.99089i −0.417124 + 0.151821i −0.542052 0.840345i \(-0.682352\pi\)
0.124928 + 0.992166i \(0.460130\pi\)
\(692\) 9.66380 + 5.57940i 0.367362 + 0.212097i
\(693\) −47.0585 + 27.1692i −1.78760 + 1.03207i
\(694\) 14.9214 + 12.5206i 0.566410 + 0.475274i
\(695\) 4.59048 + 4.29629i 0.174127 + 0.162968i
\(696\) 0.262260 + 1.48735i 0.00994092 + 0.0563778i
\(697\) −9.04895 −0.342754
\(698\) −4.79188 27.1761i −0.181375 1.02863i
\(699\) 1.81818 1.52563i 0.0687698 0.0577047i
\(700\) −14.1609 + 13.5761i −0.535233 + 0.513128i
\(701\) −0.621922 1.70872i −0.0234897 0.0645374i 0.927394 0.374087i \(-0.122044\pi\)
−0.950883 + 0.309550i \(0.899822\pi\)
\(702\) 8.34313i 0.314891i
\(703\) −37.5023 0.594772i −1.41442 0.0224322i
\(704\) −4.74506 −0.178836
\(705\) −0.678856 5.61301i −0.0255672 0.211398i
\(706\) −16.1356 5.87288i −0.607271 0.221029i
\(707\) 16.5772 + 19.7560i 0.623451 + 0.743000i
\(708\) −0.372411 2.11205i −0.0139961 0.0793756i
\(709\) 12.1416i 0.455988i 0.973663 + 0.227994i \(0.0732167\pi\)
−0.973663 + 0.227994i \(0.926783\pi\)
\(710\) −31.4584 1.70590i −1.18061 0.0640215i
\(711\) 32.8314 + 18.9552i 1.23128 + 0.710877i
\(712\) 1.37038 1.63315i 0.0513570 0.0612049i
\(713\) 8.69071 5.01758i 0.325470 0.187910i
\(714\) −0.612544 + 1.06096i −0.0229239 + 0.0397054i
\(715\) 6.29922 + 52.0841i 0.235577 + 1.94784i
\(716\) 4.52989 + 5.39852i 0.169290 + 0.201752i
\(717\) 0.961530 + 1.66542i 0.0359090 + 0.0621962i
\(718\) 4.94155 28.0249i 0.184417 1.04588i
\(719\) 1.73099 9.81691i 0.0645549 0.366109i −0.935368 0.353676i \(-0.884931\pi\)
0.999923 0.0124324i \(-0.00395747\pi\)
\(720\) −5.21939 + 3.91827i −0.194515 + 0.146025i
\(721\) −6.75781 + 18.5669i −0.251674 + 0.691469i
\(722\) 17.8738 + 6.50554i 0.665195 + 0.242111i
\(723\) 0.238520 + 0.200142i 0.00887066 + 0.00744337i
\(724\) 1.07200 6.07963i 0.0398407 0.225948i
\(725\) −21.3732 15.6474i −0.793782 0.581129i
\(726\) −2.84307 + 1.64145i −0.105516 + 0.0609198i
\(727\) −0.172933 + 0.145108i −0.00641373 + 0.00538176i −0.645989 0.763347i \(-0.723555\pi\)
0.639575 + 0.768729i \(0.279110\pi\)
\(728\) −6.63520 18.2301i −0.245917 0.675652i
\(729\) −11.3549 + 19.6673i −0.420553 + 0.728420i
\(730\) −1.30291 4.28946i −0.0482230 0.158760i
\(731\) 8.04179 + 6.74786i 0.297436 + 0.249579i
\(732\) −1.21567 + 2.10560i −0.0449324 + 0.0778252i
\(733\) 25.4959 4.49561i 0.941712 0.166049i 0.318342 0.947976i \(-0.396874\pi\)
0.623370 + 0.781927i \(0.285763\pi\)
\(734\) 21.6252i 0.798201i
\(735\) 0.289726 5.34279i 0.0106867 0.197072i
\(736\) 4.89930 4.11100i 0.180590 0.151533i
\(737\) −5.33837 + 14.6670i −0.196641 + 0.540268i
\(738\) 22.6595 8.24739i 0.834108 0.303590i
\(739\) 11.8002 0.434078 0.217039 0.976163i \(-0.430360\pi\)
0.217039 + 0.976163i \(0.430360\pi\)
\(740\) 11.2745 + 7.60832i 0.414457 + 0.279687i
\(741\) 8.69184 0.319303
\(742\) 7.64598 2.78291i 0.280693 0.102164i
\(743\) −12.3498 + 33.9309i −0.453071 + 1.24480i 0.477481 + 0.878642i \(0.341550\pi\)
−0.930552 + 0.366160i \(0.880672\pi\)
\(744\) 0.342663 0.287529i 0.0125627 0.0105413i
\(745\) −34.5816 1.87527i −1.26697 0.0687044i
\(746\) 19.5824i 0.716961i
\(747\) −3.46397 + 0.610792i −0.126740 + 0.0223477i
\(748\) 2.59860 4.50091i 0.0950143 0.164570i
\(749\) 11.8711 + 9.96102i 0.433760 + 0.363968i
\(750\) −0.515733 + 3.14531i −0.0188319 + 0.114850i
\(751\) −6.67772 + 11.5662i −0.243674 + 0.422055i −0.961758 0.273901i \(-0.911686\pi\)
0.718084 + 0.695956i \(0.245019\pi\)
\(752\) −3.03352 8.33453i −0.110621 0.303929i
\(753\) −3.13747 + 2.63265i −0.114336 + 0.0959390i
\(754\) 22.6858 13.0977i 0.826168 0.476989i
\(755\) 8.00745 + 3.41612i 0.291421 + 0.124325i
\(756\) 1.14958 6.51959i 0.0418098 0.237115i
\(757\) 4.74878 + 3.98470i 0.172597 + 0.144826i 0.724994 0.688755i \(-0.241842\pi\)
−0.552397 + 0.833581i \(0.686287\pi\)
\(758\) 14.3875 + 5.23661i 0.522577 + 0.190202i
\(759\) 2.95898 8.12974i 0.107404 0.295091i
\(760\) −8.27774 11.0265i −0.300265 0.399973i
\(761\) −5.25326 + 29.7927i −0.190431 + 1.07999i 0.728347 + 0.685209i \(0.240289\pi\)
−0.918777 + 0.394776i \(0.870822\pi\)
\(762\) −1.04374 + 5.91932i −0.0378106 + 0.214434i
\(763\) 22.8761 + 39.6226i 0.828171 + 1.43443i
\(764\) −7.58339 9.03753i −0.274357 0.326966i
\(765\) −0.858291 7.09664i −0.0310316 0.256580i
\(766\) 0.339639 0.588271i 0.0122716 0.0212551i
\(767\) −32.2140 + 18.5988i −1.16318 + 0.671563i
\(768\) 0.183247 0.218385i 0.00661235 0.00788029i
\(769\) −31.0106 17.9040i −1.11827 0.645634i −0.177312 0.984155i \(-0.556740\pi\)
−0.940959 + 0.338521i \(0.890073\pi\)
\(770\) −2.25413 + 41.5681i −0.0812332 + 1.49801i
\(771\) 2.88984i 0.104075i
\(772\) −3.86618