Properties

Label 224.2.bd.a.37.20
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.20
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.699836 + 1.22891i) q^{2} +(0.666690 - 0.868847i) q^{3} +(-1.02046 + 1.72008i) q^{4} +(-0.367682 + 0.282133i) q^{5} +(1.53431 + 0.211254i) q^{6} +(1.90974 + 1.83109i) q^{7} +(-2.82798 - 0.0502881i) q^{8} +(0.466037 + 1.73928i) q^{9} +O(q^{10})\) \(q+(0.699836 + 1.22891i) q^{2} +(0.666690 - 0.868847i) q^{3} +(-1.02046 + 1.72008i) q^{4} +(-0.367682 + 0.282133i) q^{5} +(1.53431 + 0.211254i) q^{6} +(1.90974 + 1.83109i) q^{7} +(-2.82798 - 0.0502881i) q^{8} +(0.466037 + 1.73928i) q^{9} +(-0.604034 - 0.254404i) q^{10} +(-0.629214 + 0.0828376i) q^{11} +(0.814152 + 2.03338i) q^{12} +(5.18123 - 2.14613i) q^{13} +(-0.913752 + 3.62837i) q^{14} +0.507554i q^{15} +(-1.91732 - 3.51054i) q^{16} +(-2.73539 + 1.57928i) q^{17} +(-1.81127 + 1.78993i) q^{18} +(0.304092 - 2.30981i) q^{19} +(-0.110084 - 0.920347i) q^{20} +(2.86414 - 0.438501i) q^{21} +(-0.542147 - 0.715278i) q^{22} +(-1.86331 - 6.95396i) q^{23} +(-1.92908 + 2.42355i) q^{24} +(-1.23850 + 4.62216i) q^{25} +(6.26342 + 4.86534i) q^{26} +(4.85725 + 2.01194i) q^{27} +(-5.09843 + 1.41634i) q^{28} +(-2.36952 - 5.72053i) q^{29} +(-0.623741 + 0.355205i) q^{30} +(-4.76239 - 8.24871i) q^{31} +(2.97234 - 4.81302i) q^{32} +(-0.347517 + 0.601918i) q^{33} +(-3.85512 - 2.25632i) q^{34} +(-1.21879 - 0.134461i) q^{35} +(-3.46726 - 0.973242i) q^{36} +(-6.27791 + 4.81721i) q^{37} +(3.05137 - 1.24278i) q^{38} +(1.58961 - 5.93250i) q^{39} +(1.05399 - 0.779375i) q^{40} +(-0.188847 + 0.188847i) q^{41} +(2.54331 + 3.21291i) q^{42} +(2.27999 - 5.50439i) q^{43} +(0.499601 - 1.16683i) q^{44} +(-0.662060 - 0.508017i) q^{45} +(7.24181 - 7.15647i) q^{46} +(5.81940 + 3.35983i) q^{47} +(-4.32838 - 0.674581i) q^{48} +(0.294206 + 6.99381i) q^{49} +(-6.54699 + 1.71274i) q^{50} +(-0.451505 + 3.42952i) q^{51} +(-1.59572 + 11.1021i) q^{52} +(-1.46042 + 0.192268i) q^{53} +(0.926775 + 7.37716i) q^{54} +(0.207980 - 0.207980i) q^{55} +(-5.30862 - 5.27433i) q^{56} +(-1.80413 - 1.80413i) q^{57} +(5.37177 - 6.91537i) q^{58} +(0.0666577 + 0.506316i) q^{59} +(-0.873032 - 0.517939i) q^{60} +(12.9961 + 1.71097i) q^{61} +(6.80406 - 11.6253i) q^{62} +(-2.29476 + 4.17492i) q^{63} +(7.99494 + 0.284428i) q^{64} +(-1.29955 + 2.25089i) q^{65} +(-0.982910 - 0.00582560i) q^{66} +(1.35564 - 1.76670i) q^{67} +(0.0748790 - 6.31666i) q^{68} +(-7.28417 - 3.01720i) q^{69} +(-0.687711 - 1.59189i) q^{70} +(-6.37378 - 6.37378i) q^{71} +(-1.23048 - 4.94207i) q^{72} +(-1.07263 - 0.287410i) q^{73} +(-10.3134 - 4.34376i) q^{74} +(3.19025 + 4.15761i) q^{75} +(3.66273 + 2.88013i) q^{76} +(-1.35332 - 0.993951i) q^{77} +(8.40299 - 2.19828i) q^{78} +(5.13736 + 2.96606i) q^{79} +(1.69540 + 0.749824i) q^{80} +(0.308165 - 0.177919i) q^{81} +(-0.364239 - 0.0999150i) q^{82} +(-0.509916 + 0.211214i) q^{83} +(-2.16849 + 5.37401i) q^{84} +(0.560188 - 1.35241i) q^{85} +(8.36004 - 1.05025i) q^{86} +(-6.55000 - 1.75507i) q^{87} +(1.78357 - 0.202621i) q^{88} +(-6.57980 + 1.76305i) q^{89} +(0.160976 - 1.16914i) q^{90} +(13.8246 + 5.38875i) q^{91} +(13.8628 + 3.89121i) q^{92} +(-10.3419 - 1.36154i) q^{93} +(-0.0563225 + 9.50287i) q^{94} +(0.539863 + 0.935070i) q^{95} +(-2.20015 - 5.79130i) q^{96} +6.01128 q^{97} +(-8.38890 + 5.25607i) q^{98} +(-0.437315 - 1.05577i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.699836 + 1.22891i 0.494858 + 0.868974i
\(3\) 0.666690 0.868847i 0.384913 0.501629i −0.560206 0.828353i \(-0.689278\pi\)
0.945120 + 0.326724i \(0.105945\pi\)
\(4\) −1.02046 + 1.72008i −0.510230 + 0.860038i
\(5\) −0.367682 + 0.282133i −0.164433 + 0.126174i −0.687700 0.725995i \(-0.741380\pi\)
0.523267 + 0.852169i \(0.324713\pi\)
\(6\) 1.53431 + 0.211254i 0.626380 + 0.0862443i
\(7\) 1.90974 + 1.83109i 0.721813 + 0.692088i
\(8\) −2.82798 0.0502881i −0.999842 0.0177795i
\(9\) 0.466037 + 1.73928i 0.155346 + 0.579759i
\(10\) −0.604034 0.254404i −0.191012 0.0804495i
\(11\) −0.629214 + 0.0828376i −0.189715 + 0.0249765i −0.224785 0.974408i \(-0.572168\pi\)
0.0350698 + 0.999385i \(0.488835\pi\)
\(12\) 0.814152 + 2.03338i 0.235025 + 0.586986i
\(13\) 5.18123 2.14613i 1.43701 0.595231i 0.477942 0.878392i \(-0.341383\pi\)
0.959072 + 0.283161i \(0.0913831\pi\)
\(14\) −0.913752 + 3.62837i −0.244210 + 0.969722i
\(15\) 0.507554i 0.131050i
\(16\) −1.91732 3.51054i −0.479330 0.877635i
\(17\) −2.73539 + 1.57928i −0.663429 + 0.383031i −0.793582 0.608463i \(-0.791786\pi\)
0.130153 + 0.991494i \(0.458453\pi\)
\(18\) −1.81127 + 1.78993i −0.426921 + 0.421890i
\(19\) 0.304092 2.30981i 0.0697635 0.529907i −0.920504 0.390732i \(-0.872222\pi\)
0.990268 0.139174i \(-0.0444448\pi\)
\(20\) −0.110084 0.920347i −0.0246156 0.205796i
\(21\) 2.86414 0.438501i 0.625007 0.0956887i
\(22\) −0.542147 0.715278i −0.115586 0.152498i
\(23\) −1.86331 6.95396i −0.388527 1.45000i −0.832532 0.553977i \(-0.813110\pi\)
0.444006 0.896024i \(-0.353557\pi\)
\(24\) −1.92908 + 2.42355i −0.393771 + 0.494706i
\(25\) −1.23850 + 4.62216i −0.247701 + 0.924432i
\(26\) 6.26342 + 4.86534i 1.22836 + 0.954172i
\(27\) 4.85725 + 2.01194i 0.934777 + 0.387198i
\(28\) −5.09843 + 1.41634i −0.963513 + 0.267663i
\(29\) −2.36952 5.72053i −0.440009 1.06228i −0.975945 0.218018i \(-0.930041\pi\)
0.535935 0.844259i \(-0.319959\pi\)
\(30\) −0.623741 + 0.355205i −0.113879 + 0.0648512i
\(31\) −4.76239 8.24871i −0.855351 1.48151i −0.876319 0.481732i \(-0.840008\pi\)
0.0209674 0.999780i \(-0.493325\pi\)
\(32\) 2.97234 4.81302i 0.525441 0.850830i
\(33\) −0.347517 + 0.601918i −0.0604950 + 0.104780i
\(34\) −3.85512 2.25632i −0.661147 0.386956i
\(35\) −1.21879 0.134461i −0.206013 0.0227280i
\(36\) −3.46726 0.973242i −0.577876 0.162207i
\(37\) −6.27791 + 4.81721i −1.03208 + 0.791944i −0.978422 0.206615i \(-0.933755\pi\)
−0.0536595 + 0.998559i \(0.517089\pi\)
\(38\) 3.05137 1.24278i 0.494998 0.201606i
\(39\) 1.58961 5.93250i 0.254541 0.949960i
\(40\) 1.05399 0.779375i 0.166650 0.123230i
\(41\) −0.188847 + 0.188847i −0.0294930 + 0.0294930i −0.721699 0.692207i \(-0.756639\pi\)
0.692207 + 0.721699i \(0.256639\pi\)
\(42\) 2.54331 + 3.21291i 0.392441 + 0.495762i
\(43\) 2.27999 5.50439i 0.347696 0.839411i −0.649196 0.760621i \(-0.724894\pi\)
0.996891 0.0787898i \(-0.0251056\pi\)
\(44\) 0.499601 1.16683i 0.0753177 0.175906i
\(45\) −0.662060 0.508017i −0.0986941 0.0757306i
\(46\) 7.24181 7.15647i 1.06775 1.05516i
\(47\) 5.81940 + 3.35983i 0.848846 + 0.490082i 0.860261 0.509853i \(-0.170300\pi\)
−0.0114150 + 0.999935i \(0.503634\pi\)
\(48\) −4.32838 0.674581i −0.624747 0.0973674i
\(49\) 0.294206 + 6.99381i 0.0420294 + 0.999116i
\(50\) −6.54699 + 1.71274i −0.925884 + 0.242217i
\(51\) −0.451505 + 3.42952i −0.0632233 + 0.480229i
\(52\) −1.59572 + 11.1021i −0.221287 + 1.53959i
\(53\) −1.46042 + 0.192268i −0.200604 + 0.0264100i −0.230159 0.973153i \(-0.573924\pi\)
0.0295545 + 0.999563i \(0.490591\pi\)
\(54\) 0.926775 + 7.37716i 0.126118 + 1.00390i
\(55\) 0.207980 0.207980i 0.0280440 0.0280440i
\(56\) −5.30862 5.27433i −0.709394 0.704812i
\(57\) −1.80413 1.80413i −0.238964 0.238964i
\(58\) 5.37177 6.91537i 0.705348 0.908033i
\(59\) 0.0666577 + 0.506316i 0.00867810 + 0.0659167i 0.995236 0.0974957i \(-0.0310832\pi\)
−0.986558 + 0.163412i \(0.947750\pi\)
\(60\) −0.873032 0.517939i −0.112708 0.0668657i
\(61\) 12.9961 + 1.71097i 1.66398 + 0.219067i 0.902979 0.429685i \(-0.141375\pi\)
0.761000 + 0.648752i \(0.224709\pi\)
\(62\) 6.80406 11.6253i 0.864117 1.47642i
\(63\) −2.29476 + 4.17492i −0.289113 + 0.525990i
\(64\) 7.99494 + 0.284428i 0.999368 + 0.0355535i
\(65\) −1.29955 + 2.25089i −0.161190 + 0.279188i
\(66\) −0.982910 0.00582560i −0.120988 0.000717082i
\(67\) 1.35564 1.76670i 0.165617 0.215837i −0.703171 0.711021i \(-0.748233\pi\)
0.868788 + 0.495185i \(0.164900\pi\)
\(68\) 0.0748790 6.31666i 0.00908042 0.766008i
\(69\) −7.28417 3.01720i −0.876911 0.363229i
\(70\) −0.687711 1.59189i −0.0821972 0.190267i
\(71\) −6.37378 6.37378i −0.756429 0.756429i 0.219242 0.975671i \(-0.429642\pi\)
−0.975671 + 0.219242i \(0.929642\pi\)
\(72\) −1.23048 4.94207i −0.145013 0.582429i
\(73\) −1.07263 0.287410i −0.125542 0.0336388i 0.195501 0.980703i \(-0.437367\pi\)
−0.321043 + 0.947065i \(0.604033\pi\)
\(74\) −10.3134 4.34376i −1.19891 0.504952i
\(75\) 3.19025 + 4.15761i 0.368378 + 0.480080i
\(76\) 3.66273 + 2.88013i 0.420144 + 0.330374i
\(77\) −1.35332 0.993951i −0.154225 0.113271i
\(78\) 8.40299 2.19828i 0.951452 0.248906i
\(79\) 5.13736 + 2.96606i 0.577998 + 0.333708i 0.760338 0.649528i \(-0.225034\pi\)
−0.182339 + 0.983236i \(0.558367\pi\)
\(80\) 1.69540 + 0.749824i 0.189552 + 0.0838329i
\(81\) 0.308165 0.177919i 0.0342405 0.0197688i
\(82\) −0.364239 0.0999150i −0.0402234 0.0110338i
\(83\) −0.509916 + 0.211214i −0.0559706 + 0.0231838i −0.410493 0.911864i \(-0.634643\pi\)
0.354523 + 0.935047i \(0.384643\pi\)
\(84\) −2.16849 + 5.37401i −0.236601 + 0.586353i
\(85\) 0.560188 1.35241i 0.0607610 0.146690i
\(86\) 8.36004 1.05025i 0.901486 0.113252i
\(87\) −6.55000 1.75507i −0.702234 0.188163i
\(88\) 1.78357 0.202621i 0.190129 0.0215995i
\(89\) −6.57980 + 1.76305i −0.697458 + 0.186883i −0.590092 0.807336i \(-0.700908\pi\)
−0.107366 + 0.994220i \(0.534242\pi\)
\(90\) 0.160976 1.16914i 0.0169683 0.123239i
\(91\) 13.8246 + 5.38875i 1.44921 + 0.564894i
\(92\) 13.8628 + 3.89121i 1.44529 + 0.405687i
\(93\) −10.3419 1.36154i −1.07241 0.141185i
\(94\) −0.0563225 + 9.50287i −0.00580922 + 0.980146i
\(95\) 0.539863 + 0.935070i 0.0553888 + 0.0959362i
\(96\) −2.20015 5.79130i −0.224552 0.591072i
\(97\) 6.01128 0.610353 0.305177 0.952296i \(-0.401285\pi\)
0.305177 + 0.952296i \(0.401285\pi\)
\(98\) −8.38890 + 5.25607i −0.847407 + 0.530944i
\(99\) −0.437315 1.05577i −0.0439518 0.106109i
\(100\) −6.68662 6.84705i −0.668662 0.684705i
\(101\) 0.230723 + 1.75252i 0.0229578 + 0.174382i 0.999082 0.0428295i \(-0.0136372\pi\)
−0.976125 + 0.217211i \(0.930304\pi\)
\(102\) −4.53057 + 1.84524i −0.448593 + 0.182706i
\(103\) −11.5972 + 3.10746i −1.14270 + 0.306187i −0.780038 0.625732i \(-0.784800\pi\)
−0.362666 + 0.931919i \(0.618134\pi\)
\(104\) −14.7603 + 5.80867i −1.44737 + 0.569587i
\(105\) −0.929379 + 0.969296i −0.0906981 + 0.0945937i
\(106\) −1.25833 1.66017i −0.122220 0.161250i
\(107\) 0.907191 + 1.18227i 0.0877015 + 0.114295i 0.835143 0.550033i \(-0.185385\pi\)
−0.747442 + 0.664327i \(0.768718\pi\)
\(108\) −8.41731 + 6.30173i −0.809956 + 0.606384i
\(109\) 4.62283 + 3.54722i 0.442787 + 0.339762i 0.805971 0.591955i \(-0.201644\pi\)
−0.363184 + 0.931717i \(0.618310\pi\)
\(110\) 0.401141 + 0.110038i 0.0382473 + 0.0104917i
\(111\) 8.66612i 0.822552i
\(112\) 2.76653 10.2150i 0.261413 0.965227i
\(113\) 19.8494i 1.86728i 0.358216 + 0.933639i \(0.383385\pi\)
−0.358216 + 0.933639i \(0.616615\pi\)
\(114\) 0.954529 3.47972i 0.0893999 0.325906i
\(115\) 2.64704 + 2.03115i 0.246838 + 0.189406i
\(116\) 12.2578 + 1.76182i 1.13810 + 0.163581i
\(117\) 6.14737 + 8.01140i 0.568324 + 0.740654i
\(118\) −0.575569 + 0.436254i −0.0529854 + 0.0401605i
\(119\) −8.11568 1.99274i −0.743963 0.182674i
\(120\) 0.0255240 1.43535i 0.00233001 0.131029i
\(121\) −10.2361 + 2.74276i −0.930558 + 0.249342i
\(122\) 6.99250 + 17.1685i 0.633071 + 1.55436i
\(123\) 0.0381768 + 0.289982i 0.00344229 + 0.0261468i
\(124\) 19.0482 + 0.225802i 1.71058 + 0.0202776i
\(125\) −1.73547 4.18978i −0.155225 0.374746i
\(126\) −6.73658 + 0.101690i −0.600142 + 0.00905927i
\(127\) −12.2752 −1.08925 −0.544623 0.838681i \(-0.683327\pi\)
−0.544623 + 0.838681i \(0.683327\pi\)
\(128\) 5.24561 + 10.0242i 0.463651 + 0.886018i
\(129\) −3.26242 5.65068i −0.287240 0.497515i
\(130\) −3.67562 0.0217850i −0.322373 0.00191067i
\(131\) −16.9895 2.23671i −1.48438 0.195422i −0.655648 0.755067i \(-0.727605\pi\)
−0.828733 + 0.559644i \(0.810938\pi\)
\(132\) −0.680716 1.21199i −0.0592487 0.105490i
\(133\) 4.81021 3.85431i 0.417098 0.334211i
\(134\) 3.11984 + 0.429561i 0.269513 + 0.0371084i
\(135\) −2.35356 + 0.630634i −0.202562 + 0.0542763i
\(136\) 7.81504 4.32861i 0.670134 0.371175i
\(137\) −8.60428 2.30551i −0.735113 0.196973i −0.128208 0.991747i \(-0.540923\pi\)
−0.606905 + 0.794774i \(0.707589\pi\)
\(138\) −1.38984 11.0632i −0.118311 0.941760i
\(139\) −4.47830 + 10.8116i −0.379845 + 0.917026i 0.612150 + 0.790742i \(0.290305\pi\)
−0.991994 + 0.126284i \(0.959695\pi\)
\(140\) 1.47501 1.95920i 0.124661 0.165582i
\(141\) 6.79891 2.81620i 0.572572 0.237167i
\(142\) 3.37223 12.2934i 0.282991 1.03164i
\(143\) −3.08232 + 1.77958i −0.257757 + 0.148816i
\(144\) 5.21225 4.97079i 0.434354 0.414233i
\(145\) 2.48518 + 1.43482i 0.206383 + 0.119155i
\(146\) −0.397462 1.51931i −0.0328942 0.125739i
\(147\) 6.27270 + 4.40708i 0.517363 + 0.363490i
\(148\) −1.87961 15.7142i −0.154503 1.29170i
\(149\) 6.34049 + 8.26309i 0.519434 + 0.676939i 0.977246 0.212110i \(-0.0680335\pi\)
−0.457812 + 0.889049i \(0.651367\pi\)
\(150\) −2.87670 + 6.83019i −0.234882 + 0.557683i
\(151\) 12.9876 + 3.48001i 1.05691 + 0.283199i 0.745106 0.666946i \(-0.232399\pi\)
0.311807 + 0.950145i \(0.399066\pi\)
\(152\) −0.976122 + 6.51680i −0.0791740 + 0.528582i
\(153\) −4.02159 4.02159i −0.325126 0.325126i
\(154\) 0.274380 2.35871i 0.0221102 0.190071i
\(155\) 4.07828 + 1.68928i 0.327575 + 0.135686i
\(156\) 8.58221 + 8.78812i 0.687127 + 0.703613i
\(157\) 10.3643 13.5070i 0.827159 1.07797i −0.168573 0.985689i \(-0.553916\pi\)
0.995733 0.0922857i \(-0.0294173\pi\)
\(158\) −0.0497215 + 8.38913i −0.00395563 + 0.667403i
\(159\) −0.806595 + 1.39706i −0.0639671 + 0.110794i
\(160\) 0.265033 + 2.60826i 0.0209527 + 0.206201i
\(161\) 9.17491 16.6921i 0.723084 1.31552i
\(162\) 0.434312 + 0.254194i 0.0341228 + 0.0199714i
\(163\) −1.16061 0.152798i −0.0909063 0.0119680i 0.0849358 0.996386i \(-0.472931\pi\)
−0.175842 + 0.984418i \(0.556265\pi\)
\(164\) −0.132120 0.517542i −0.0103169 0.0404133i
\(165\) −0.0420446 0.319360i −0.00327317 0.0248622i
\(166\) −0.616422 0.478828i −0.0478436 0.0371643i
\(167\) 5.38648 + 5.38648i 0.416818 + 0.416818i 0.884106 0.467287i \(-0.154769\pi\)
−0.467287 + 0.884106i \(0.654769\pi\)
\(168\) −8.12178 + 1.09604i −0.626609 + 0.0845612i
\(169\) 13.0468 13.0468i 1.00360 1.00360i
\(170\) 2.05404 0.258044i 0.157538 0.0197911i
\(171\) 4.15911 0.547558i 0.318055 0.0418728i
\(172\) 7.14132 + 9.53877i 0.544521 + 0.727324i
\(173\) 3.00052 22.7912i 0.228125 1.73278i −0.367942 0.929849i \(-0.619937\pi\)
0.596067 0.802935i \(-0.296729\pi\)
\(174\) −2.42710 9.27765i −0.183998 0.703337i
\(175\) −10.8288 + 6.55930i −0.818582 + 0.495837i
\(176\) 1.49721 + 2.05005i 0.112856 + 0.154529i
\(177\) 0.484351 + 0.279640i 0.0364060 + 0.0210190i
\(178\) −6.77142 6.85217i −0.507540 0.513592i
\(179\) 2.07819 + 1.59465i 0.155331 + 0.119190i 0.683503 0.729948i \(-0.260456\pi\)
−0.528172 + 0.849138i \(0.677122\pi\)
\(180\) 1.54943 0.620383i 0.115488 0.0462406i
\(181\) 0.833967 2.01338i 0.0619883 0.149653i −0.889850 0.456253i \(-0.849191\pi\)
0.951839 + 0.306600i \(0.0991913\pi\)
\(182\) 3.05261 + 20.7604i 0.226275 + 1.53887i
\(183\) 10.1509 10.1509i 0.750378 0.750378i
\(184\) 4.91970 + 19.7594i 0.362685 + 1.45668i
\(185\) 0.949185 3.54241i 0.0697854 0.260443i
\(186\) −5.56442 13.6622i −0.408003 1.00176i
\(187\) 1.59032 1.22030i 0.116296 0.0892369i
\(188\) −11.7176 + 6.58123i −0.854596 + 0.479986i
\(189\) 5.59203 + 12.7363i 0.406760 + 0.926432i
\(190\) −0.771306 + 1.31784i −0.0559564 + 0.0956062i
\(191\) −6.62256 + 11.4706i −0.479192 + 0.829984i −0.999715 0.0238630i \(-0.992403\pi\)
0.520524 + 0.853847i \(0.325737\pi\)
\(192\) 5.57727 6.75675i 0.402505 0.487627i
\(193\) 6.06964 + 10.5129i 0.436902 + 0.756737i 0.997449 0.0713860i \(-0.0227422\pi\)
−0.560547 + 0.828123i \(0.689409\pi\)
\(194\) 4.20691 + 7.38735i 0.302038 + 0.530381i
\(195\) 1.08928 + 2.62975i 0.0780050 + 0.188321i
\(196\) −12.3301 6.63085i −0.880723 0.473632i
\(197\) −24.0288 9.95306i −1.71198 0.709126i −0.999976 0.00695193i \(-0.997787\pi\)
−0.712005 0.702174i \(-0.752213\pi\)
\(198\) 0.991404 1.27629i 0.0704560 0.0907019i
\(199\) 3.60342 13.4481i 0.255440 0.953314i −0.712406 0.701768i \(-0.752394\pi\)
0.967845 0.251546i \(-0.0809390\pi\)
\(200\) 3.73490 13.0091i 0.264098 0.919882i
\(201\) −0.631202 2.35568i −0.0445216 0.166157i
\(202\) −1.99223 + 1.51001i −0.140172 + 0.106244i
\(203\) 5.94965 15.2635i 0.417584 1.07129i
\(204\) −5.43829 4.27631i −0.380757 0.299402i
\(205\) 0.0161558 0.122716i 0.00112837 0.00857083i
\(206\) −11.9349 12.0772i −0.831545 0.841461i
\(207\) 11.2265 6.48161i 0.780294 0.450503i
\(208\) −17.4682 14.0741i −1.21120 0.975861i
\(209\) 1.47855i 0.102274i
\(210\) −1.84159 0.463779i −0.127082 0.0320038i
\(211\) −17.8191 + 7.38092i −1.22672 + 0.508124i −0.899540 0.436839i \(-0.856098\pi\)
−0.327179 + 0.944962i \(0.606098\pi\)
\(212\) 1.15958 2.70823i 0.0796406 0.186002i
\(213\) −9.78717 + 1.28851i −0.670606 + 0.0882870i
\(214\) −0.818029 + 1.94226i −0.0559193 + 0.132770i
\(215\) 0.714654 + 2.66713i 0.0487390 + 0.181896i
\(216\) −13.6350 5.93398i −0.927746 0.403756i
\(217\) 6.00921 24.4733i 0.407932 1.66135i
\(218\) −1.12401 + 8.16353i −0.0761276 + 0.552904i
\(219\) −0.964827 + 0.740337i −0.0651969 + 0.0500274i
\(220\) 0.145506 + 0.569976i 0.00981000 + 0.0384278i
\(221\) −10.7833 + 14.0531i −0.725365 + 0.945314i
\(222\) −10.6499 + 6.06486i −0.714776 + 0.407047i
\(223\) 11.6359 0.779195 0.389597 0.920985i \(-0.372614\pi\)
0.389597 + 0.920985i \(0.372614\pi\)
\(224\) 14.4895 3.74899i 0.968119 0.250490i
\(225\) −8.61640 −0.574426
\(226\) −24.3932 + 13.8913i −1.62261 + 0.924038i
\(227\) 6.17424 8.04643i 0.409799 0.534060i −0.542165 0.840272i \(-0.682395\pi\)
0.951963 + 0.306212i \(0.0990617\pi\)
\(228\) 4.94430 1.26220i 0.327444 0.0835913i
\(229\) 11.9958 9.20473i 0.792707 0.608265i −0.130992 0.991383i \(-0.541816\pi\)
0.923699 + 0.383118i \(0.125150\pi\)
\(230\) −0.643612 + 4.67446i −0.0424385 + 0.308225i
\(231\) −1.76583 + 0.513169i −0.116183 + 0.0337641i
\(232\) 6.41329 + 16.2967i 0.421053 + 1.06993i
\(233\) −4.17950 15.5981i −0.273808 1.02187i −0.956636 0.291286i \(-0.905917\pi\)
0.682828 0.730579i \(-0.260750\pi\)
\(234\) −5.54318 + 13.1612i −0.362369 + 0.860378i
\(235\) −3.08761 + 0.406491i −0.201413 + 0.0265166i
\(236\) −0.938923 0.402019i −0.0611187 0.0261692i
\(237\) 6.00207 2.48614i 0.389877 0.161492i
\(238\) −3.23073 11.3681i −0.209417 0.736882i
\(239\) 4.50768i 0.291577i 0.989316 + 0.145789i \(0.0465720\pi\)
−0.989316 + 0.145789i \(0.953428\pi\)
\(240\) 1.78179 0.973145i 0.115014 0.0628162i
\(241\) 10.5989 6.11926i 0.682734 0.394176i −0.118151 0.992996i \(-0.537697\pi\)
0.800884 + 0.598819i \(0.204363\pi\)
\(242\) −10.5342 10.6598i −0.677166 0.685241i
\(243\) −2.00784 + 15.2510i −0.128803 + 0.978354i
\(244\) −16.2050 + 20.6083i −1.03742 + 1.31931i
\(245\) −2.08136 2.48850i −0.132973 0.158984i
\(246\) −0.329645 + 0.249855i −0.0210174 + 0.0159302i
\(247\) −3.38159 12.6203i −0.215165 0.803008i
\(248\) 13.0531 + 23.5667i 0.828876 + 1.49649i
\(249\) −0.156443 + 0.583853i −0.00991418 + 0.0370002i
\(250\) 3.93435 5.06490i 0.248830 0.320332i
\(251\) 22.2806 + 9.22892i 1.40634 + 0.582524i 0.951389 0.307993i \(-0.0996574\pi\)
0.454949 + 0.890517i \(0.349657\pi\)
\(252\) −4.83946 8.20751i −0.304858 0.517024i
\(253\) 1.74847 + 4.22118i 0.109925 + 0.265383i
\(254\) −8.59061 15.0852i −0.539023 0.946527i
\(255\) −0.801569 1.38836i −0.0501962 0.0869424i
\(256\) −8.64776 + 13.4617i −0.540485 + 0.841354i
\(257\) −0.744349 + 1.28925i −0.0464312 + 0.0804212i −0.888307 0.459250i \(-0.848118\pi\)
0.841876 + 0.539671i \(0.181451\pi\)
\(258\) 4.66104 7.96378i 0.290184 0.495804i
\(259\) −20.8099 2.29582i −1.29307 0.142655i
\(260\) −2.54556 4.53227i −0.157869 0.281079i
\(261\) 8.84530 6.78724i 0.547510 0.420119i
\(262\) −9.14114 22.4440i −0.564742 1.38659i
\(263\) −4.53078 + 16.9091i −0.279380 + 1.04266i 0.673469 + 0.739216i \(0.264804\pi\)
−0.952849 + 0.303445i \(0.901863\pi\)
\(264\) 1.01304 1.68474i 0.0623484 0.103688i
\(265\) 0.482725 0.482725i 0.0296536 0.0296536i
\(266\) 8.10297 + 3.21395i 0.496825 + 0.197060i
\(267\) −2.85486 + 6.89225i −0.174715 + 0.421799i
\(268\) 1.65548 + 4.13464i 0.101125 + 0.252563i
\(269\) −2.50081 1.91894i −0.152477 0.117000i 0.529706 0.848182i \(-0.322302\pi\)
−0.682183 + 0.731182i \(0.738969\pi\)
\(270\) −2.42210 2.45098i −0.147404 0.149162i
\(271\) −1.38786 0.801279i −0.0843063 0.0486742i 0.457254 0.889336i \(-0.348833\pi\)
−0.541560 + 0.840662i \(0.682166\pi\)
\(272\) 10.7887 + 6.57470i 0.654163 + 0.398650i
\(273\) 13.8987 8.41880i 0.841187 0.509529i
\(274\) −3.18831 12.1874i −0.192613 0.736268i
\(275\) 0.396395 3.01092i 0.0239035 0.181565i
\(276\) 12.6230 9.45039i 0.759817 0.568847i
\(277\) −6.25584 + 0.823597i −0.375877 + 0.0494852i −0.316098 0.948726i \(-0.602373\pi\)
−0.0597789 + 0.998212i \(0.519040\pi\)
\(278\) −16.4206 + 2.06288i −0.984840 + 0.123723i
\(279\) 12.1273 12.1273i 0.726044 0.726044i
\(280\) 3.43995 + 0.441542i 0.205576 + 0.0263872i
\(281\) 21.8948 + 21.8948i 1.30613 + 1.30613i 0.924183 + 0.381949i \(0.124747\pi\)
0.381949 + 0.924183i \(0.375253\pi\)
\(282\) 8.21899 + 6.38440i 0.489434 + 0.380185i
\(283\) −2.12881 16.1699i −0.126545 0.961203i −0.930443 0.366436i \(-0.880578\pi\)
0.803899 0.594766i \(-0.202755\pi\)
\(284\) 17.4676 4.45920i 1.03651 0.264605i
\(285\) 1.17235 + 0.154343i 0.0694442 + 0.00914251i
\(286\) −4.34407 2.54250i −0.256870 0.150341i
\(287\) −0.706445 + 0.0148523i −0.0417001 + 0.000876703i
\(288\) 9.75640 + 2.92667i 0.574901 + 0.172456i
\(289\) −3.51177 + 6.08256i −0.206575 + 0.357798i
\(290\) −0.0240526 + 4.05821i −0.00141242 + 0.238306i
\(291\) 4.00766 5.22288i 0.234933 0.306171i
\(292\) 1.58894 1.55171i 0.0929859 0.0908072i
\(293\) −7.36316 3.04992i −0.430161 0.178178i 0.157089 0.987585i \(-0.449789\pi\)
−0.587249 + 0.809406i \(0.699789\pi\)
\(294\) −1.02607 + 10.7928i −0.0598417 + 0.629451i
\(295\) −0.167357 0.167357i −0.00974390 0.00974390i
\(296\) 17.9960 13.3073i 1.04600 0.773469i
\(297\) −3.22291 0.863577i −0.187012 0.0501098i
\(298\) −5.71733 + 13.5747i −0.331196 + 0.786363i
\(299\) −24.5784 32.0311i −1.42140 1.85241i
\(300\) −10.4069 + 1.24479i −0.600845 + 0.0718680i
\(301\) 14.4332 6.33707i 0.831917 0.365263i
\(302\) 4.81253 + 18.3960i 0.276930 + 1.05857i
\(303\) 1.67649 + 0.967922i 0.0963118 + 0.0556057i
\(304\) −8.69172 + 3.36112i −0.498504 + 0.192773i
\(305\) −5.26115 + 3.03753i −0.301253 + 0.173928i
\(306\) 2.12774 7.75664i 0.121635 0.443418i
\(307\) −13.4735 + 5.58092i −0.768975 + 0.318520i −0.732457 0.680813i \(-0.761627\pi\)
−0.0365181 + 0.999333i \(0.511627\pi\)
\(308\) 3.09068 1.31352i 0.176108 0.0748449i
\(309\) −5.03182 + 12.1479i −0.286250 + 0.691069i
\(310\) 0.778146 + 6.19407i 0.0441957 + 0.351800i
\(311\) 26.0410 + 6.97767i 1.47665 + 0.395668i 0.905206 0.424973i \(-0.139716\pi\)
0.571445 + 0.820640i \(0.306383\pi\)
\(312\) −4.79371 + 16.6970i −0.271391 + 0.945284i
\(313\) −16.2943 + 4.36605i −0.921010 + 0.246784i −0.688017 0.725695i \(-0.741519\pi\)
−0.232993 + 0.972478i \(0.574852\pi\)
\(314\) 23.8522 + 3.28414i 1.34606 + 0.185335i
\(315\) −0.334137 2.18247i −0.0188265 0.122968i
\(316\) −10.3443 + 5.80991i −0.581913 + 0.326833i
\(317\) −18.6637 2.45712i −1.04826 0.138006i −0.413334 0.910580i \(-0.635636\pi\)
−0.634925 + 0.772574i \(0.718969\pi\)
\(318\) −2.28136 0.0135214i −0.127932 0.000758240i
\(319\) 1.96481 + 3.40316i 0.110008 + 0.190540i
\(320\) −3.01985 + 2.15105i −0.168814 + 0.120248i
\(321\) 1.63203 0.0910910
\(322\) 26.9341 0.406576i 1.50098 0.0226576i
\(323\) 2.81602 + 6.79847i 0.156687 + 0.378277i
\(324\) −0.00843577 + 0.711626i −0.000468654 + 0.0395348i
\(325\) 3.50281 + 26.6065i 0.194301 + 1.47586i
\(326\) −0.624463 1.53323i −0.0345858 0.0849176i
\(327\) 6.16398 1.65163i 0.340869 0.0913356i
\(328\) 0.543553 0.524559i 0.0300127 0.0289639i
\(329\) 4.96137 + 17.0723i 0.273529 + 0.941224i
\(330\) 0.363042 0.275169i 0.0199848 0.0151476i
\(331\) 12.5359 + 16.3371i 0.689035 + 0.897969i 0.998599 0.0529101i \(-0.0168497\pi\)
−0.309564 + 0.950879i \(0.600183\pi\)
\(332\) 0.157045 1.09263i 0.00861896 0.0599659i
\(333\) −11.3042 8.67401i −0.619466 0.475333i
\(334\) −2.84987 + 10.3892i −0.155938 + 0.568470i
\(335\) 1.03205i 0.0563871i
\(336\) −7.03085 9.21393i −0.383564 0.502661i
\(337\) 4.19060i 0.228277i 0.993465 + 0.114138i \(0.0364107\pi\)
−0.993465 + 0.114138i \(0.963589\pi\)
\(338\) 25.1641 + 6.90280i 1.36875 + 0.375463i
\(339\) 17.2461 + 13.2334i 0.936680 + 0.718740i
\(340\) 1.75461 + 2.34365i 0.0951568 + 0.127102i
\(341\) 3.67987 + 4.79570i 0.199276 + 0.259702i
\(342\) 3.58360 + 4.72799i 0.193779 + 0.255661i
\(343\) −12.2445 + 13.8951i −0.661139 + 0.750264i
\(344\) −6.72458 + 15.4516i −0.362565 + 0.833097i
\(345\) 3.52951 0.945730i 0.190023 0.0509164i
\(346\) 30.1083 12.2627i 1.61863 0.659248i
\(347\) −2.80157 21.2801i −0.150396 1.14237i −0.885574 0.464499i \(-0.846234\pi\)
0.735177 0.677875i \(-0.237099\pi\)
\(348\) 9.70287 9.47552i 0.520128 0.507941i
\(349\) 0.339165 + 0.818816i 0.0181551 + 0.0438302i 0.932697 0.360661i \(-0.117449\pi\)
−0.914542 + 0.404491i \(0.867449\pi\)
\(350\) −15.6392 8.71725i −0.835951 0.465957i
\(351\) 29.4844 1.57376
\(352\) −1.47154 + 3.27464i −0.0784333 + 0.174539i
\(353\) −4.04793 7.01122i −0.215450 0.373170i 0.737962 0.674842i \(-0.235788\pi\)
−0.953412 + 0.301673i \(0.902455\pi\)
\(354\) −0.00468774 + 0.790928i −0.000249151 + 0.0420373i
\(355\) 4.14178 + 0.545275i 0.219823 + 0.0289402i
\(356\) 3.68184 13.1169i 0.195137 0.695194i
\(357\) −7.14202 + 5.72274i −0.377996 + 0.302880i
\(358\) −0.505299 + 3.66991i −0.0267059 + 0.193961i
\(359\) 11.3023 3.02843i 0.596511 0.159835i 0.0520837 0.998643i \(-0.483414\pi\)
0.544427 + 0.838808i \(0.316747\pi\)
\(360\) 1.84675 + 1.46995i 0.0973320 + 0.0774734i
\(361\) 13.1098 + 3.51277i 0.689992 + 0.184883i
\(362\) 3.05791 0.384157i 0.160720 0.0201909i
\(363\) −4.44128 + 10.7222i −0.233107 + 0.562770i
\(364\) −23.3765 + 18.2803i −1.22526 + 0.958148i
\(365\) 0.475475 0.196948i 0.0248875 0.0103087i
\(366\) 19.5786 + 5.37064i 1.02339 + 0.280728i
\(367\) −19.9559 + 11.5215i −1.04169 + 0.601420i −0.920311 0.391187i \(-0.872065\pi\)
−0.121378 + 0.992606i \(0.538731\pi\)
\(368\) −20.8396 + 19.8742i −1.08634 + 1.03601i
\(369\) −0.416467 0.240447i −0.0216804 0.0125172i
\(370\) 5.01759 1.31263i 0.260852 0.0682406i
\(371\) −3.14108 2.30698i −0.163077 0.119772i
\(372\) 12.8954 16.3995i 0.668598 0.850272i
\(373\) 0.132104 + 0.172161i 0.00684008 + 0.00891417i 0.796761 0.604295i \(-0.206545\pi\)
−0.789921 + 0.613209i \(0.789878\pi\)
\(374\) 2.61260 + 1.10036i 0.135094 + 0.0568983i
\(375\) −4.79730 1.28543i −0.247731 0.0663794i
\(376\) −16.2882 9.79418i −0.839999 0.505096i
\(377\) −24.5541 24.5541i −1.26460 1.26460i
\(378\) −11.7384 + 15.7855i −0.603756 + 0.811917i
\(379\) −35.3256 14.6323i −1.81455 0.751612i −0.979501 0.201442i \(-0.935437\pi\)
−0.835052 0.550171i \(-0.814563\pi\)
\(380\) −2.15930 0.0255968i −0.110770 0.00131309i
\(381\) −8.18374 + 10.6653i −0.419266 + 0.546398i
\(382\) −18.7311 0.111017i −0.958366 0.00568014i
\(383\) −8.69358 + 15.0577i −0.444221 + 0.769413i −0.997998 0.0632520i \(-0.979853\pi\)
0.553777 + 0.832665i \(0.313186\pi\)
\(384\) 12.2066 + 2.12537i 0.622918 + 0.108460i
\(385\) 0.778017 0.0163570i 0.0396514 0.000833631i
\(386\) −8.67173 + 14.8164i −0.441380 + 0.754134i
\(387\) 10.6362 + 1.40028i 0.540669 + 0.0711804i
\(388\) −6.13427 + 10.3399i −0.311421 + 0.524927i
\(389\) 2.11289 + 16.0490i 0.107128 + 0.813717i 0.957682 + 0.287829i \(0.0929335\pi\)
−0.850554 + 0.525888i \(0.823733\pi\)
\(390\) −2.46943 + 3.17903i −0.125044 + 0.160976i
\(391\) 16.0791 + 16.0791i 0.813155 + 0.813155i
\(392\) −0.480302 19.7932i −0.0242589 0.999706i
\(393\) −13.2701 + 13.2701i −0.669388 + 0.669388i
\(394\) −4.58476 36.4948i −0.230977 1.83858i
\(395\) −2.72574 + 0.358850i −0.137147 + 0.0180557i
\(396\) 2.26227 + 0.325158i 0.113683 + 0.0163398i
\(397\) −3.84235 + 29.1855i −0.192842 + 1.46478i 0.571837 + 0.820367i \(0.306231\pi\)
−0.764679 + 0.644412i \(0.777102\pi\)
\(398\) 19.0484 4.98320i 0.954811 0.249785i
\(399\) −0.141890 6.74896i −0.00710339 0.337871i
\(400\) 18.6009 4.51435i 0.930044 0.225717i
\(401\) 16.3558 + 9.44303i 0.816770 + 0.471563i 0.849301 0.527908i \(-0.177023\pi\)
−0.0325311 + 0.999471i \(0.510357\pi\)
\(402\) 2.45319 2.42428i 0.122354 0.120912i
\(403\) −42.3779 32.5177i −2.11099 1.61982i
\(404\) −3.24991 1.39151i −0.161689 0.0692304i
\(405\) −0.0631100 + 0.152361i −0.00313596 + 0.00757088i
\(406\) 22.9214 3.37036i 1.13757 0.167268i
\(407\) 3.55110 3.55110i 0.176022 0.176022i
\(408\) 1.44931 9.67591i 0.0717516 0.479029i
\(409\) 2.72348 10.1642i 0.134668 0.502586i −0.865332 0.501200i \(-0.832892\pi\)
0.999999 0.00138610i \(-0.000441211\pi\)
\(410\) 0.162113 0.0660267i 0.00800621 0.00326082i
\(411\) −7.73952 + 5.93874i −0.381762 + 0.292936i
\(412\) 6.48941 23.1191i 0.319710 1.13899i
\(413\) −0.799812 + 1.08899i −0.0393562 + 0.0535856i
\(414\) 15.8220 + 9.26032i 0.777611 + 0.455120i
\(415\) 0.127897 0.221524i 0.00627821 0.0108742i
\(416\) 5.07098 31.3164i 0.248625 1.53541i
\(417\) 6.40796 + 11.0989i 0.313799 + 0.543516i
\(418\) −1.81702 + 1.03475i −0.0888732 + 0.0506110i
\(419\) −4.60368 11.1143i −0.224904 0.542967i 0.770639 0.637272i \(-0.219937\pi\)
−0.995543 + 0.0943047i \(0.969937\pi\)
\(420\) −0.718869 2.58773i −0.0350772 0.126268i
\(421\) 7.44632 + 3.08437i 0.362912 + 0.150323i 0.556686 0.830723i \(-0.312073\pi\)
−0.193774 + 0.981046i \(0.562073\pi\)
\(422\) −21.5410 16.7327i −1.04860 0.814537i
\(423\) −3.13161 + 11.6873i −0.152264 + 0.568258i
\(424\) 4.13971 0.470288i 0.201042 0.0228392i
\(425\) −3.91188 14.5993i −0.189754 0.708172i
\(426\) −8.43287 11.1259i −0.408574 0.539049i
\(427\) 21.6862 + 27.0645i 1.04947 + 1.30974i
\(428\) −2.95935 + 0.353973i −0.143046 + 0.0171099i
\(429\) −0.508770 + 3.86449i −0.0245636 + 0.186579i
\(430\) −2.77753 + 2.74480i −0.133944 + 0.132366i
\(431\) 17.9328 10.3535i 0.863792 0.498710i −0.00148843 0.999999i \(-0.500474\pi\)
0.865280 + 0.501288i \(0.167140\pi\)
\(432\) −2.24992 20.9091i −0.108249 1.00599i
\(433\) 32.8821i 1.58021i −0.612968 0.790107i \(-0.710025\pi\)
0.612968 0.790107i \(-0.289975\pi\)
\(434\) 34.2810 9.74245i 1.64554 0.467653i
\(435\) 2.90348 1.20266i 0.139211 0.0576632i
\(436\) −10.8189 + 4.33182i −0.518132 + 0.207456i
\(437\) −16.6289 + 2.18924i −0.795470 + 0.104726i
\(438\) −1.58503 0.667575i −0.0757357 0.0318979i
\(439\) 1.98785 + 7.41874i 0.0948747 + 0.354077i 0.997000 0.0773961i \(-0.0246606\pi\)
−0.902126 + 0.431473i \(0.857994\pi\)
\(440\) −0.598622 + 0.577704i −0.0285382 + 0.0275409i
\(441\) −12.0271 + 3.77108i −0.572717 + 0.179575i
\(442\) −24.8166 3.41692i −1.18041 0.162526i
\(443\) −2.45839 + 1.88639i −0.116802 + 0.0896250i −0.665511 0.746388i \(-0.731786\pi\)
0.548709 + 0.836013i \(0.315119\pi\)
\(444\) −14.9064 8.84344i −0.707426 0.419691i
\(445\) 1.92186 2.50462i 0.0911050 0.118730i
\(446\) 8.14319 + 14.2995i 0.385591 + 0.677100i
\(447\) 11.4065 0.539509
\(448\) 14.7474 + 15.1827i 0.696751 + 0.717313i
\(449\) 14.2618 0.673058 0.336529 0.941673i \(-0.390747\pi\)
0.336529 + 0.941673i \(0.390747\pi\)
\(450\) −6.03006 10.5888i −0.284260 0.499161i
\(451\) 0.103182 0.134469i 0.00485863 0.00633189i
\(452\) −34.1425 20.2556i −1.60593 0.952741i
\(453\) 11.6823 8.96412i 0.548881 0.421171i
\(454\) 14.2093 + 1.95644i 0.666876 + 0.0918201i
\(455\) −6.60339 + 1.91901i −0.309572 + 0.0899647i
\(456\) 5.01133 + 5.19278i 0.234677 + 0.243174i
\(457\) 1.44221 + 5.38240i 0.0674638 + 0.251778i 0.991419 0.130722i \(-0.0417297\pi\)
−0.923955 + 0.382501i \(0.875063\pi\)
\(458\) 19.7069 + 8.30006i 0.920844 + 0.387836i
\(459\) −16.4639 + 2.16751i −0.768467 + 0.101171i
\(460\) −6.19493 + 2.48041i −0.288840 + 0.115650i
\(461\) −35.5395 + 14.7209i −1.65524 + 0.685622i −0.997699 0.0677971i \(-0.978403\pi\)
−0.657540 + 0.753420i \(0.728403\pi\)
\(462\) −1.86643 1.81092i −0.0868344 0.0842518i
\(463\) 7.71929i 0.358746i −0.983781 0.179373i \(-0.942593\pi\)
0.983781 0.179373i \(-0.0574069\pi\)
\(464\) −15.5390 + 19.2864i −0.721381 + 0.895349i
\(465\) 4.18667 2.41717i 0.194152 0.112094i
\(466\) 16.2438 16.0523i 0.752478 0.743611i
\(467\) 4.51616 34.3036i 0.208983 1.58738i −0.489661 0.871913i \(-0.662879\pi\)
0.698644 0.715470i \(-0.253787\pi\)
\(468\) −20.0534 + 2.39862i −0.926967 + 0.110876i
\(469\) 5.82390 0.891640i 0.268922 0.0411721i
\(470\) −2.66036 3.50993i −0.122713 0.161901i
\(471\) −4.82575 18.0099i −0.222359 0.829854i
\(472\) −0.163045 1.43520i −0.00750476 0.0660606i
\(473\) −0.978633 + 3.65231i −0.0449976 + 0.167933i
\(474\) 7.25572 + 5.63614i 0.333266 + 0.258877i
\(475\) 10.2997 + 4.26627i 0.472582 + 0.195750i
\(476\) 11.7094 11.9261i 0.536699 0.546630i
\(477\) −1.01502 2.45047i −0.0464744 0.112199i
\(478\) −5.53955 + 3.15463i −0.253373 + 0.144290i
\(479\) −17.2474 29.8733i −0.788052 1.36495i −0.927159 0.374668i \(-0.877757\pi\)
0.139107 0.990277i \(-0.455577\pi\)
\(480\) 2.44287 + 1.50862i 0.111501 + 0.0688590i
\(481\) −22.1889 + 38.4323i −1.01173 + 1.75236i
\(482\) 14.9375 + 8.74263i 0.680385 + 0.398216i
\(483\) −8.38609 19.1001i −0.381580 0.869083i
\(484\) 5.72781 20.4058i 0.260355 0.927537i
\(485\) −2.21024 + 1.69598i −0.100362 + 0.0770104i
\(486\) −20.1474 + 8.20576i −0.913903 + 0.372221i
\(487\) 6.14828 22.9457i 0.278605 1.03977i −0.674781 0.738018i \(-0.735762\pi\)
0.953387 0.301751i \(-0.0975712\pi\)
\(488\) −36.6667 5.49213i −1.65982 0.248617i
\(489\) −0.906527 + 0.906527i −0.0409946 + 0.0409946i
\(490\) 1.60154 4.29935i 0.0723503 0.194225i
\(491\) −4.28702 + 10.3498i −0.193470 + 0.467079i −0.990610 0.136716i \(-0.956345\pi\)
0.797140 + 0.603795i \(0.206345\pi\)
\(492\) −0.537748 0.230248i −0.0242436 0.0103804i
\(493\) 15.5159 + 11.9057i 0.698800 + 0.536208i
\(494\) 13.1427 12.9878i 0.591317 0.584349i
\(495\) 0.458660 + 0.264808i 0.0206153 + 0.0119022i
\(496\) −19.8264 + 32.5340i −0.890230 + 1.46082i
\(497\) −0.501280 23.8432i −0.0224855 1.06952i
\(498\) −0.826990 + 0.216346i −0.0370583 + 0.00969471i
\(499\) 0.893660 6.78803i 0.0400057 0.303874i −0.959731 0.280921i \(-0.909360\pi\)
0.999737 0.0229525i \(-0.00730664\pi\)
\(500\) 8.97772 + 1.29038i 0.401496 + 0.0577074i
\(501\) 8.27114 1.08892i 0.369527 0.0486492i
\(502\) 4.25119 + 33.8396i 0.189740 + 1.51034i
\(503\) −28.5834 + 28.5834i −1.27447 + 1.27447i −0.330751 + 0.943718i \(0.607302\pi\)
−0.943718 + 0.330751i \(0.892698\pi\)
\(504\) 6.69949 11.6912i 0.298419 0.520767i
\(505\) −0.579275 0.579275i −0.0257774 0.0257774i
\(506\) −3.96383 + 5.10285i −0.176214 + 0.226849i
\(507\) −2.63751 20.0339i −0.117136 0.889736i
\(508\) 12.5263 21.1143i 0.555767 0.936793i
\(509\) 26.3453 + 3.46843i 1.16774 + 0.153735i 0.689360 0.724419i \(-0.257892\pi\)
0.478377 + 0.878155i \(0.341225\pi\)
\(510\) 1.14521 1.95668i 0.0507106 0.0866433i
\(511\) −1.52217 2.51296i −0.0673368 0.111167i
\(512\) −22.5952 1.20641i −0.998578 0.0533161i
\(513\) 6.12424 10.6075i 0.270392 0.468332i
\(514\) −2.10530 0.0124779i −0.0928608 0.000550376i
\(515\) 3.38736 4.41450i 0.149265 0.194526i
\(516\) 13.0488 + 0.154683i 0.574440 + 0.00680953i
\(517\) −3.93997 1.63199i −0.173280 0.0717748i
\(518\) −11.7422 27.1803i −0.515921 1.19423i
\(519\) −17.8017 17.8017i −0.781406 0.781406i
\(520\) 3.78830 6.30012i 0.166128 0.276278i
\(521\) 35.6552 + 9.55378i 1.56208 + 0.418559i 0.933322 0.359041i \(-0.116896\pi\)
0.628760 + 0.777599i \(0.283563\pi\)
\(522\) 14.5312 + 6.12016i 0.636013 + 0.267872i
\(523\) −6.36446 8.29433i −0.278299 0.362686i 0.633201 0.773988i \(-0.281741\pi\)
−0.911499 + 0.411302i \(0.865074\pi\)
\(524\) 21.1844 26.9408i 0.925447 1.17691i
\(525\) −1.52043 + 13.7816i −0.0663570 + 0.601478i
\(526\) −23.9506 + 6.26565i −1.04430 + 0.273195i
\(527\) 26.0540 + 15.0423i 1.13493 + 0.655252i
\(528\) 2.77936 + 0.0659034i 0.120956 + 0.00286808i
\(529\) −24.9671 + 14.4147i −1.08552 + 0.626728i
\(530\) 0.931057 + 0.255400i 0.0404425 + 0.0110939i
\(531\) −0.849557 + 0.351898i −0.0368677 + 0.0152711i
\(532\) 1.72108 + 12.2071i 0.0746183 + 0.529245i
\(533\) −0.573168 + 1.38375i −0.0248267 + 0.0599369i
\(534\) −10.4679 + 1.31506i −0.452991 + 0.0569082i
\(535\) −0.667116 0.178753i −0.0288420 0.00772818i
\(536\) −3.92255 + 4.92801i −0.169428 + 0.212858i
\(537\) 2.77102 0.742492i 0.119578 0.0320409i
\(538\) 0.608055 4.41622i 0.0262151 0.190397i
\(539\) −0.764469 4.37624i −0.0329280 0.188498i
\(540\) 1.31697 4.69183i 0.0566735 0.201904i
\(541\) −20.9478 2.75783i −0.900615 0.118568i −0.334021 0.942566i \(-0.608406\pi\)
−0.566594 + 0.823997i \(0.691739\pi\)
\(542\) 0.0134322 2.26632i 0.000576964 0.0973468i
\(543\) −1.19332 2.06689i −0.0512101 0.0886986i
\(544\) −0.529410 + 17.8596i −0.0226982 + 0.765725i
\(545\) −2.70052 −0.115678
\(546\) 20.0728 + 11.1885i 0.859036 + 0.478824i
\(547\) 14.3700 + 34.6922i 0.614416 + 1.48333i 0.858103 + 0.513477i \(0.171643\pi\)
−0.243687 + 0.969854i \(0.578357\pi\)
\(548\) 12.7460 12.4473i 0.544481 0.531724i
\(549\) 3.08082 + 23.4012i 0.131486 + 0.998737i
\(550\) 3.97758 1.62001i 0.169604 0.0690777i
\(551\) −13.9339 + 3.73358i −0.593604 + 0.159056i
\(552\) 20.4478 + 8.89890i 0.870315 + 0.378762i
\(553\) 4.37990 + 15.0714i 0.186252 + 0.640900i
\(554\) −5.39019 7.11151i −0.229007 0.302139i
\(555\) −2.44500 3.18638i −0.103784 0.135254i
\(556\) −14.0268 18.7358i −0.594869 0.794575i
\(557\) −6.85705 5.26160i −0.290543 0.222941i 0.453197 0.891410i \(-0.350283\pi\)
−0.743740 + 0.668469i \(0.766950\pi\)
\(558\) 23.3906 + 6.41631i 0.990202 + 0.271624i
\(559\) 33.4127i 1.41320i
\(560\) 1.86478 + 4.53641i 0.0788013 + 0.191698i
\(561\) 2.19530i 0.0926858i
\(562\) −11.5841 + 42.2295i −0.488644 + 1.78135i
\(563\) 24.4301 + 18.7459i 1.02961 + 0.790045i 0.977996 0.208622i \(-0.0668980\pi\)
0.0516102 + 0.998667i \(0.483565\pi\)
\(564\) −2.09394 + 14.5685i −0.0881708 + 0.613443i
\(565\) −5.60017 7.29828i −0.235601 0.307041i
\(566\) 18.3816 13.9324i 0.772638 0.585623i
\(567\) 0.914301 + 0.224499i 0.0383970 + 0.00942808i
\(568\) 17.7044 + 18.3455i 0.742860 + 0.769758i
\(569\) 20.4903 5.49037i 0.859000 0.230168i 0.197675 0.980268i \(-0.436661\pi\)
0.661325 + 0.750099i \(0.269994\pi\)
\(570\) 0.630780 + 1.54874i 0.0264205 + 0.0648695i
\(571\) 3.04816 + 23.1531i 0.127562 + 0.968926i 0.928800 + 0.370581i \(0.120841\pi\)
−0.801239 + 0.598345i \(0.795825\pi\)
\(572\) 0.0843760 7.11782i 0.00352794 0.297611i
\(573\) 5.55101 + 13.4013i 0.231897 + 0.559848i
\(574\) −0.512648 0.857766i −0.0213975 0.0358025i
\(575\) 34.4500 1.43667
\(576\) 3.23124 + 14.0380i 0.134635 + 0.584915i
\(577\) −16.7927 29.0858i −0.699089 1.21086i −0.968783 0.247912i \(-0.920256\pi\)
0.269693 0.962946i \(-0.413078\pi\)
\(578\) −9.93261 0.0588695i −0.413142 0.00244865i
\(579\) 13.1807 + 1.73527i 0.547771 + 0.0721154i
\(580\) −5.00403 + 2.81052i −0.207781 + 0.116701i
\(581\) −1.36056 0.530339i −0.0564455 0.0220022i
\(582\) 9.22317 + 1.26991i 0.382313 + 0.0526394i
\(583\) 0.902990 0.241955i 0.0373980 0.0100208i
\(584\) 3.01892 + 0.866731i 0.124924 + 0.0358656i
\(585\) −4.52056 1.21128i −0.186902 0.0500802i
\(586\) −1.40491 11.1831i −0.0580363 0.461971i
\(587\) 6.32050 15.2590i 0.260875 0.629807i −0.738118 0.674671i \(-0.764285\pi\)
0.998993 + 0.0448638i \(0.0142854\pi\)
\(588\) −13.9816 + 6.29226i −0.576590 + 0.259488i
\(589\) −20.5012 + 8.49185i −0.844735 + 0.349901i
\(590\) 0.0885450 0.322790i 0.00364534 0.0132890i
\(591\) −24.6674 + 14.2417i −1.01468 + 0.585827i
\(592\) 28.9478 + 12.8027i 1.18975 + 0.526188i
\(593\) −7.55272 4.36056i −0.310153 0.179067i 0.336842 0.941561i \(-0.390641\pi\)
−0.646995 + 0.762494i \(0.723975\pi\)
\(594\) −1.19425 4.56504i −0.0490005 0.187306i
\(595\) 3.54621 1.55700i 0.145380 0.0638309i
\(596\) −20.6834 + 2.47397i −0.847224 + 0.101338i
\(597\) −9.28201 12.0966i −0.379888 0.495079i
\(598\) 22.1627 52.6212i 0.906301 2.15184i
\(599\) 5.50159 + 1.47415i 0.224789 + 0.0602320i 0.369455 0.929249i \(-0.379544\pi\)
−0.144667 + 0.989480i \(0.546211\pi\)
\(600\) −8.81288 11.9181i −0.359785 0.486554i
\(601\) 21.0920 + 21.0920i 0.860359 + 0.860359i 0.991380 0.131021i \(-0.0418255\pi\)
−0.131021 + 0.991380i \(0.541825\pi\)
\(602\) 17.8886 + 13.3023i 0.729085 + 0.542161i
\(603\) 3.70455 + 1.53448i 0.150861 + 0.0624887i
\(604\) −19.2392 + 18.7884i −0.782831 + 0.764488i
\(605\) 2.98982 3.89641i 0.121554 0.158412i
\(606\) −0.0162258 + 2.73765i −0.000659126 + 0.111209i
\(607\) −3.94704 + 6.83647i −0.160205 + 0.277484i −0.934942 0.354800i \(-0.884549\pi\)
0.774737 + 0.632284i \(0.217882\pi\)
\(608\) −10.2133 8.32914i −0.414204 0.337791i
\(609\) −9.29511 15.3454i −0.376657 0.621826i
\(610\) −7.41480 4.33974i −0.300217 0.175711i
\(611\) 37.3623 + 4.91884i 1.51152 + 0.198995i
\(612\) 11.0213 2.81357i 0.445510 0.113732i
\(613\) −0.852555 6.47580i −0.0344344 0.261555i −0.999999 0.00139187i \(-0.999557\pi\)
0.965565 0.260163i \(-0.0837764\pi\)
\(614\) −16.2877 12.6521i −0.657320 0.510597i
\(615\) −0.0958502 0.0958502i −0.00386505 0.00386505i
\(616\) 3.77717 + 2.87893i 0.152187 + 0.115995i
\(617\) 33.0437 33.0437i 1.33029 1.33029i 0.425183 0.905108i \(-0.360210\pi\)
0.905108 0.425183i \(-0.139790\pi\)
\(618\) −18.4501 + 2.31785i −0.742174 + 0.0932375i
\(619\) 3.90132 0.513619i 0.156807 0.0206441i −0.0517137 0.998662i \(-0.516468\pi\)
0.208521 + 0.978018i \(0.433135\pi\)
\(620\) −7.06741 + 5.29111i −0.283834 + 0.212496i
\(621\) 4.94039 37.5260i 0.198251 1.50586i
\(622\) 9.64948 + 36.8854i 0.386909 + 1.47897i
\(623\) −15.7940 8.68125i −0.632774 0.347807i
\(624\) −23.8740 + 5.79412i −0.955727 + 0.231951i
\(625\) −18.9004 10.9121i −0.756016 0.436486i
\(626\) −16.7688 16.9688i −0.670218 0.678210i
\(627\) 1.28464 + 0.985737i 0.0513035 + 0.0393665i
\(628\) 12.6567 + 31.6107i 0.505058 + 1.26140i
\(629\) 9.56481 23.0915i 0.381374 0.920718i
\(630\) 2.44823 1.93800i 0.0975398 0.0772116i
\(631\) 11.4028 11.4028i 0.453939 0.453939i −0.442721 0.896660i \(-0.645987\pi\)
0.896660 + 0.442721i \(0.145987\pi\)
\(632\) −14.3792 8.64630i −0.571974 0.343931i
\(633\) −5.46693 + 20.4029i −0.217291 + 0.810941i
\(634\) −10.0419 24.6557i −0.398816 0.979202i
\(635\) 4.51337 3.46323i 0.179108 0.137434i
\(636\) −1.57996 2.81305i −0.0626494 0.111545i
\(637\) 16.5340 + 35.6051i 0.655102 + 1.41073i
\(638\) −2.80714 + 4.79624i −0.111136 + 0.189885i
\(639\) 8.11534 14.0562i 0.321038 0.556054i
\(640\) −4.75686 2.20575i −0.188031 0.0871898i
\(641\) 4.47764 + 7.75550i 0.176856 + 0.306324i 0.940802 0.338956i \(-0.110074\pi\)
−0.763946 + 0.645280i \(0.776741\pi\)
\(642\) 1.14215 + 2.00562i 0.0450772 + 0.0791557i
\(643\) 0.840054 + 2.02807i 0.0331285 + 0.0799793i 0.939578 0.342335i \(-0.111218\pi\)
−0.906449 + 0.422314i \(0.861218\pi\)
\(644\) 19.3491 + 32.8152i 0.762462 + 1.29310i
\(645\) 2.79378 + 1.15722i 0.110005 + 0.0455655i
\(646\) −6.38399 + 8.21846i −0.251175 + 0.323351i
\(647\) −5.12780 + 19.1372i −0.201595 + 0.752361i 0.788866 + 0.614565i \(0.210669\pi\)
−0.990461 + 0.137796i \(0.955998\pi\)
\(648\) −0.880431 + 0.487655i −0.0345866 + 0.0191569i
\(649\) −0.0838840 0.313059i −0.00329273 0.0122887i
\(650\) −30.2457 + 22.9248i −1.18633 + 0.899184i
\(651\) −17.2572 21.5372i −0.676364 0.844108i
\(652\) 1.44718 1.84042i 0.0566761 0.0720764i
\(653\) −2.87103 + 21.8077i −0.112352 + 0.853400i 0.838749 + 0.544519i \(0.183288\pi\)
−0.951101 + 0.308881i \(0.900046\pi\)
\(654\) 6.34349 + 6.41914i 0.248050 + 0.251008i
\(655\) 6.87780 3.97090i 0.268738 0.155156i
\(656\) 1.02504 + 0.300874i 0.0400209 + 0.0117472i
\(657\) 1.99954i 0.0780096i
\(658\) −17.5082 + 18.0449i −0.682540 + 0.703462i
\(659\) 11.8981 4.92837i 0.463485 0.191982i −0.138706 0.990334i \(-0.544294\pi\)
0.602191 + 0.798352i \(0.294294\pi\)
\(660\) 0.592229 + 0.253575i 0.0230525 + 0.00987039i
\(661\) −42.9148 + 5.64985i −1.66919 + 0.219754i −0.905054 0.425297i \(-0.860170\pi\)
−0.764140 + 0.645050i \(0.776836\pi\)
\(662\) −11.3038 + 26.8388i −0.439336 + 1.04312i
\(663\) 5.02086 + 18.7381i 0.194994 + 0.727728i
\(664\) 1.45265 0.571667i 0.0563739 0.0221850i
\(665\) −0.681202 + 2.77428i −0.0264159 + 0.107582i
\(666\) 2.74854 19.9623i 0.106504 0.773522i
\(667\) −35.3652 + 27.1367i −1.36935 + 1.05074i
\(668\) −14.7618 + 3.76846i −0.571153 + 0.145806i
\(669\) 7.75751 10.1098i 0.299923 0.390867i
\(670\) −1.26830 + 0.722267i −0.0489989 + 0.0279036i
\(671\) −8.31906 −0.321154
\(672\) 6.40269 15.0885i 0.246989 0.582053i
\(673\) 10.7072 0.412732 0.206366 0.978475i \(-0.433836\pi\)
0.206366 + 0.978475i \(0.433836\pi\)
\(674\) −5.14989 + 2.93273i −0.198366 + 0.112965i
\(675\) −15.3152 + 19.9592i −0.589483 + 0.768229i
\(676\) 9.12777 + 35.7553i 0.351068 + 1.37520i
\(677\) 15.7969 12.1214i 0.607125 0.465863i −0.258873 0.965911i \(-0.583351\pi\)
0.865998 + 0.500048i \(0.166684\pi\)
\(678\) −4.19328 + 30.4552i −0.161042 + 1.16962i
\(679\) 11.4800 + 11.0072i 0.440561 + 0.422418i
\(680\) −1.65221 + 3.79643i −0.0633594 + 0.145586i
\(681\) −2.87481 10.7289i −0.110163 0.411134i
\(682\) −3.31820 + 7.87845i −0.127060 + 0.301681i
\(683\) 33.7033 4.43712i 1.28962 0.169782i 0.545661 0.838006i \(-0.316279\pi\)
0.743960 + 0.668224i \(0.232945\pi\)
\(684\) −3.30237 + 7.71275i −0.126269 + 0.294904i
\(685\) 3.81410 1.57985i 0.145729 0.0603631i
\(686\) −25.6450 5.32312i −0.979129 0.203238i
\(687\) 16.5592i 0.631774i
\(688\) −23.6948 + 2.54968i −0.903357 + 0.0972056i
\(689\) −7.15413 + 4.13044i −0.272551 + 0.157357i
\(690\) 3.63230 + 3.67561i 0.138279 + 0.139928i
\(691\) 5.55238 42.1745i 0.211223 1.60440i −0.477005 0.878900i \(-0.658278\pi\)
0.688228 0.725495i \(-0.258389\pi\)
\(692\) 36.1407 + 28.4186i 1.37386 + 1.08031i
\(693\) 1.09806 2.81701i 0.0417117 0.107009i
\(694\) 24.1907 18.3354i 0.918268 0.696004i
\(695\) −1.40371 5.23870i −0.0532456 0.198715i
\(696\) 18.4350 + 5.29269i 0.698778 + 0.200619i
\(697\) 0.218328 0.814812i 0.00826977 0.0308632i
\(698\) −0.768895 + 0.989840i −0.0291031 + 0.0374660i
\(699\) −16.3388 6.76775i −0.617990 0.255980i
\(700\) −0.232120 25.3199i −0.00877331 0.957002i
\(701\) −7.07844 17.0889i −0.267349 0.645437i 0.732008 0.681296i \(-0.238583\pi\)
−0.999357 + 0.0358587i \(0.988583\pi\)
\(702\) 20.6342 + 36.2338i 0.778788 + 1.36756i
\(703\) 9.21777 + 15.9656i 0.347655 + 0.602156i
\(704\) −5.05409 + 0.483316i −0.190483 + 0.0182157i
\(705\) −1.70530 + 2.95366i −0.0642252 + 0.111241i
\(706\) 5.78330 9.88126i 0.217657 0.371886i
\(707\) −2.76840 + 3.76933i −0.104116 + 0.141760i
\(708\) −0.975263 + 0.547758i −0.0366526 + 0.0205860i
\(709\) 31.5364 24.1988i 1.18438 0.908803i 0.187083 0.982344i \(-0.440097\pi\)
0.997292 + 0.0735406i \(0.0234299\pi\)
\(710\) 2.22847 + 5.47149i 0.0836329 + 0.205341i
\(711\) −2.76459 + 10.3176i −0.103680 + 0.386940i
\(712\) 18.6962 4.65499i 0.700670 0.174453i
\(713\) −48.4874 + 48.4874i −1.81587 + 1.81587i
\(714\) −12.0310 4.77196i −0.450249 0.178586i
\(715\) 0.631238 1.52394i 0.0236070 0.0569922i
\(716\) −4.86364 + 1.94737i −0.181763 + 0.0727765i
\(717\) 3.91648 + 3.00522i 0.146264 + 0.112232i
\(718\) 11.6314 + 11.7701i 0.434080 + 0.439257i
\(719\) 27.5576 + 15.9104i 1.02773 + 0.593357i 0.916332 0.400419i \(-0.131135\pi\)
0.111393 + 0.993776i \(0.464469\pi\)
\(720\) −0.514030 + 3.29822i −0.0191568 + 0.122917i
\(721\) −27.8376 15.3011i −1.03673 0.569842i
\(722\) 4.85784 + 18.5692i 0.180790 + 0.691075i
\(723\) 1.74946 13.2884i 0.0650630 0.494203i
\(724\) 2.61213 + 3.48906i 0.0970790 + 0.129670i
\(725\) 29.3759 3.86741i 1.09099 0.143632i
\(726\) −16.2848 + 2.04582i −0.604387 + 0.0759277i
\(727\) −4.45867 + 4.45867i −0.165363 + 0.165363i −0.784938 0.619575i \(-0.787305\pi\)
0.619575 + 0.784938i \(0.287305\pi\)
\(728\) −38.8246 15.9345i −1.43894 0.590571i
\(729\) 12.6671 + 12.6671i 0.469150 + 0.469150i
\(730\) 0.574787 + 0.446487i 0.0212738 + 0.0165252i
\(731\) 2.45629 + 18.6574i 0.0908492 + 0.690068i
\(732\) 7.10175 + 27.8190i 0.262488 + 1.02822i
\(733\) −4.69572 0.618203i −0.173440 0.0228339i 0.0433057 0.999062i \(-0.486211\pi\)
−0.216746 + 0.976228i \(0.569544\pi\)
\(734\) −28.1248 16.4609i −1.03811 0.607583i
\(735\) −3.54974 + 0.149325i −0.130934 + 0.00550795i
\(736\) −39.0080 11.7014i −1.43785 0.431319i
\(737\) −0.706636 + 1.22393i −0.0260293 + 0.0450840i
\(738\) 0.00403074 0.680076i 0.000148373 0.0250339i
\(739\) 6.54792 8.53341i 0.240869 0.313907i −0.657238 0.753683i \(-0.728276\pi\)
0.898107 + 0.439776i \(0.144942\pi\)
\(740\) 5.12460 + 5.24755i 0.188384 + 0.192904i
\(741\) −13.2195 5.47572i −0.485632 0.201155i
\(742\) 0.636842 5.47462i 0.0233792 0.200980i
\(743\) 10.4838 + 10.4838i 0.384613 + 0.384613i 0.872761 0.488148i \(-0.162327\pi\)
−0.488148 + 0.872761i \(0.662327\pi\)
\(744\) 29.1782 + 4.37048i 1.06973 + 0.160229i
\(745\) −4.66258 1.24933i −0.170824 0.0457720i
\(746\) −0.119120 + 0.282829i −0.00436131 + 0.0103551i
\(747\) −0.605000 0.788451i −0.0221358 0.0288479i
\(748\) 0.476142 + 3.98074i 0.0174095 + 0.145550i
\(749\) −0.432355 + 3.91899i −0.0157979 + 0.143197i
\(750\) −1.77763 6.79506i −0.0649100 0.248120i
\(751\) −29.2155 16.8676i −1.06609 0.615506i −0.138978 0.990295i \(-0.544382\pi\)
−0.927110 + 0.374789i \(0.877715\pi\)
\(752\) 0.637161 26.8711i 0.0232349 0.979888i
\(753\) 22.8727 13.2056i 0.833529 0.481238i
\(754\) 12.9910 47.3587i 0.473106 1.72470i
\(755\) −5.75712 + 2.38468i −0.209523 + 0.0867873i
\(756\) −27.6139 3.37821i −1.00431 0.122864i
\(757\) 17.1737 41.4610i 0.624189 1.50693i −0.222552 0.974921i \(-0.571439\pi\)
0.846741 0.532005i \(-0.178561\pi\)
\(758\) −6.74021 53.6523i −0.244815 1.94874i
\(759\) 4.83324 + 1.29506i 0.175436 + 0.0470078i
\(760\) −1.47970 2.67151i −0.0536743 0.0969058i
\(761\) 23.4881 6.29361i 0.851442 0.228143i 0.193396 0.981121i \(-0.438050\pi\)
0.658046 + 0.752978i \(0.271383\pi\)
\(762\) −18.8340 2.59319i −0.682282 0.0939413i
\(763\) 2.33311 + 15.2391i 0.0844642 + 0.551692i
\(764\) −12.9723 23.0966i −0.469320 0.835606i
\(765\) 2.61329 + 0.344046i 0.0944837 + 0.0124390i
\(766\) −24.5887 0.145735i −0.888426 0.00526561i
\(767\) 1.43199 + 2.48028i 0.0517062 + 0.0895577i
\(768\) 5.93075 + 16.4883i 0.214007 + 0.594971i
\(769\) 23.5872 0.850577 0.425288 0.905058i \(-0.360173\pi\)
0.425288 + 0.905058i \(0.360173\pi\)
\(770\) 0.564585 + 0.944669i 0.0203462 + 0.0340435i
\(771\) 0.623911 + 1.50625i 0.0224696 + 0.0542464i
\(772\) −24.2769 0.287783i −0.873743