Properties

Label 384.2.w.a.107.54
Level $384$
Weight $2$
Character 384.107
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 107.54
Character \(\chi\) \(=\) 384.107
Dual form 384.2.w.a.323.54

$q$-expansion

\(f(q)\) \(=\) \(q+(1.26399 + 0.634293i) q^{2} +(-1.41870 - 0.993626i) q^{3} +(1.19534 + 1.60348i) q^{4} +(-0.160457 + 0.0486740i) q^{5} +(-1.16297 - 2.15581i) q^{6} +(-0.313859 + 1.57788i) q^{7} +(0.493828 + 2.78498i) q^{8} +(1.02541 + 2.81931i) q^{9} +O(q^{10})\) \(q+(1.26399 + 0.634293i) q^{2} +(-1.41870 - 0.993626i) q^{3} +(1.19534 + 1.60348i) q^{4} +(-0.160457 + 0.0486740i) q^{5} +(-1.16297 - 2.15581i) q^{6} +(-0.313859 + 1.57788i) q^{7} +(0.493828 + 2.78498i) q^{8} +(1.02541 + 2.81931i) q^{9} +(-0.233690 - 0.0402531i) q^{10} +(-0.127776 + 1.29733i) q^{11} +(-0.102574 - 3.46258i) q^{12} +(5.48845 + 1.66490i) q^{13} +(-1.39755 + 1.79534i) q^{14} +(0.276004 + 0.0903803i) q^{15} +(-1.14230 + 3.83343i) q^{16} +(3.05865 - 1.26694i) q^{17} +(-0.492158 + 4.21400i) q^{18} +(0.517836 - 0.276789i) q^{19} +(-0.269849 - 0.199107i) q^{20} +(2.01309 - 1.92667i) q^{21} +(-0.984396 + 1.55877i) q^{22} +(-0.750420 + 1.12308i) q^{23} +(2.06664 - 4.44173i) q^{24} +(-4.13397 + 2.76223i) q^{25} +(5.88131 + 5.58571i) q^{26} +(1.34659 - 5.01863i) q^{27} +(-2.90526 + 1.38284i) q^{28} +(-0.813539 - 8.26000i) q^{29} +(0.291539 + 0.289307i) q^{30} +(0.245451 - 0.245451i) q^{31} +(-3.87537 + 4.12086i) q^{32} +(1.47034 - 1.71356i) q^{33} +(4.66972 + 0.338687i) q^{34} +(-0.0264408 - 0.268458i) q^{35} +(-3.29499 + 5.01428i) q^{36} +(1.71818 + 0.918386i) q^{37} +(0.830106 - 0.0213992i) q^{38} +(-6.13217 - 7.81546i) q^{39} +(-0.214795 - 0.422833i) q^{40} +(-3.17024 + 4.74459i) q^{41} +(3.76660 - 1.15841i) q^{42} +(-3.82631 - 4.66238i) q^{43} +(-2.23298 + 1.34587i) q^{44} +(-0.301762 - 0.402467i) q^{45} +(-1.66089 + 0.943580i) q^{46} +(-8.52881 + 3.53275i) q^{47} +(5.42957 - 4.30346i) q^{48} +(4.07597 + 1.68832i) q^{49} +(-6.97736 + 0.869286i) q^{50} +(-5.59817 - 1.24176i) q^{51} +(3.89095 + 10.7908i) q^{52} +(0.372313 - 3.78016i) q^{53} +(4.88536 - 5.48937i) q^{54} +(-0.0426438 - 0.214385i) q^{55} +(-4.54935 - 0.0948923i) q^{56} +(-1.00968 - 0.121855i) q^{57} +(4.21095 - 10.9566i) q^{58} +(3.41257 - 1.03519i) q^{59} +(0.184997 + 0.550602i) q^{60} +(7.54630 - 9.19519i) q^{61} +(0.465936 - 0.154560i) q^{62} +(-4.77036 + 0.733108i) q^{63} +(-7.51227 + 2.75061i) q^{64} -0.961697 q^{65} +(2.94539 - 1.23330i) q^{66} +(-9.47243 - 7.77382i) q^{67} +(5.68765 + 3.39006i) q^{68} +(2.18055 - 0.847680i) q^{69} +(0.136860 - 0.356099i) q^{70} +(1.05700 - 5.31392i) q^{71} +(-7.34536 + 4.24802i) q^{72} +(6.82623 - 1.35782i) q^{73} +(1.58924 + 2.25066i) q^{74} +(8.60949 + 0.188848i) q^{75} +(1.06282 + 0.499482i) q^{76} +(-2.00693 - 0.608794i) q^{77} +(-2.79371 - 13.7683i) q^{78} +(4.45493 - 10.7552i) q^{79} +(-0.00329835 - 0.670700i) q^{80} +(-6.89706 + 5.78192i) q^{81} +(-7.01661 + 3.98626i) q^{82} +(7.46140 - 3.98820i) q^{83} +(5.49572 + 0.924914i) q^{84} +(-0.429115 + 0.352165i) q^{85} +(-1.87911 - 8.32020i) q^{86} +(-7.05319 + 12.5268i) q^{87} +(-3.67615 + 0.284805i) q^{88} +(-7.70086 + 5.14555i) q^{89} +(-0.126142 - 0.700120i) q^{90} +(-4.34961 + 8.13755i) q^{91} +(-2.69785 + 0.139188i) q^{92} +(-0.592109 + 0.104335i) q^{93} +(-13.0211 - 0.944402i) q^{94} +(-0.0696179 + 0.0696179i) q^{95} +(9.59258 - 1.99559i) q^{96} +(-5.99533 - 5.99533i) q^{97} +(4.08110 + 4.71938i) q^{98} +(-3.78861 + 0.970061i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.26399 + 0.634293i 0.893776 + 0.448513i
\(3\) −1.41870 0.993626i −0.819086 0.573670i
\(4\) 1.19534 + 1.60348i 0.597672 + 0.801740i
\(5\) −0.160457 + 0.0486740i −0.0717585 + 0.0217677i −0.325960 0.945384i \(-0.605687\pi\)
0.254201 + 0.967151i \(0.418187\pi\)
\(6\) −1.16297 2.15581i −0.474781 0.880104i
\(7\) −0.313859 + 1.57788i −0.118628 + 0.596381i 0.875043 + 0.484046i \(0.160833\pi\)
−0.993670 + 0.112336i \(0.964167\pi\)
\(8\) 0.493828 + 2.78498i 0.174595 + 0.984640i
\(9\) 1.02541 + 2.81931i 0.341804 + 0.939771i
\(10\) −0.233690 0.0402531i −0.0738991 0.0127291i
\(11\) −0.127776 + 1.29733i −0.0385259 + 0.391160i 0.956514 + 0.291686i \(0.0942162\pi\)
−0.995040 + 0.0994745i \(0.968284\pi\)
\(12\) −0.102574 3.46258i −0.0296105 0.999562i
\(13\) 5.48845 + 1.66490i 1.52222 + 0.461761i 0.937064 0.349158i \(-0.113532\pi\)
0.585158 + 0.810919i \(0.301032\pi\)
\(14\) −1.39755 + 1.79534i −0.373511 + 0.479825i
\(15\) 0.276004 + 0.0903803i 0.0712639 + 0.0233361i
\(16\) −1.14230 + 3.83343i −0.285575 + 0.958356i
\(17\) 3.05865 1.26694i 0.741832 0.307277i 0.0204280 0.999791i \(-0.493497\pi\)
0.721404 + 0.692514i \(0.243497\pi\)
\(18\) −0.492158 + 4.21400i −0.116003 + 0.993249i
\(19\) 0.517836 0.276789i 0.118800 0.0634998i −0.410926 0.911669i \(-0.634795\pi\)
0.529726 + 0.848169i \(0.322295\pi\)
\(20\) −0.269849 0.199107i −0.0603401 0.0445217i
\(21\) 2.01309 1.92667i 0.439293 0.420435i
\(22\) −0.984396 + 1.55877i −0.209874 + 0.332330i
\(23\) −0.750420 + 1.12308i −0.156473 + 0.234179i −0.901421 0.432944i \(-0.857475\pi\)
0.744947 + 0.667123i \(0.232475\pi\)
\(24\) 2.06664 4.44173i 0.421851 0.906665i
\(25\) −4.13397 + 2.76223i −0.826794 + 0.552446i
\(26\) 5.88131 + 5.58571i 1.15342 + 1.09545i
\(27\) 1.34659 5.01863i 0.259152 0.965837i
\(28\) −2.90526 + 1.38284i −0.549043 + 0.261332i
\(29\) −0.813539 8.26000i −0.151070 1.53384i −0.709746 0.704458i \(-0.751190\pi\)
0.558676 0.829386i \(-0.311310\pi\)
\(30\) 0.291539 + 0.289307i 0.0532274 + 0.0528200i
\(31\) 0.245451 0.245451i 0.0440844 0.0440844i −0.684721 0.728805i \(-0.740076\pi\)
0.728805 + 0.684721i \(0.240076\pi\)
\(32\) −3.87537 + 4.12086i −0.685075 + 0.728472i
\(33\) 1.47034 1.71356i 0.255953 0.298293i
\(34\) 4.66972 + 0.338687i 0.800850 + 0.0580844i
\(35\) −0.0264408 0.268458i −0.00446931 0.0453777i
\(36\) −3.29499 + 5.01428i −0.549165 + 0.835714i
\(37\) 1.71818 + 0.918386i 0.282467 + 0.150982i 0.606546 0.795048i \(-0.292554\pi\)
−0.324079 + 0.946030i \(0.605054\pi\)
\(38\) 0.830106 0.0213992i 0.134661 0.00347140i
\(39\) −6.13217 7.81546i −0.981932 1.25148i
\(40\) −0.214795 0.422833i −0.0339620 0.0668558i
\(41\) −3.17024 + 4.74459i −0.495108 + 0.740981i −0.991918 0.126878i \(-0.959504\pi\)
0.496811 + 0.867859i \(0.334504\pi\)
\(42\) 3.76660 1.15841i 0.581200 0.178746i
\(43\) −3.82631 4.66238i −0.583507 0.711006i 0.394659 0.918827i \(-0.370863\pi\)
−0.978167 + 0.207822i \(0.933363\pi\)
\(44\) −2.23298 + 1.34587i −0.336635 + 0.202898i
\(45\) −0.301762 0.402467i −0.0449840 0.0599962i
\(46\) −1.66089 + 0.943580i −0.244885 + 0.139123i
\(47\) −8.52881 + 3.53275i −1.24405 + 0.515304i −0.904980 0.425455i \(-0.860114\pi\)
−0.339075 + 0.940759i \(0.610114\pi\)
\(48\) 5.42957 4.30346i 0.783691 0.621150i
\(49\) 4.07597 + 1.68832i 0.582281 + 0.241189i
\(50\) −6.97736 + 0.869286i −0.986748 + 0.122936i
\(51\) −5.59817 1.24176i −0.783900 0.173881i
\(52\) 3.89095 + 10.7908i 0.539578 + 1.49641i
\(53\) 0.372313 3.78016i 0.0511411 0.519244i −0.935153 0.354245i \(-0.884738\pi\)
0.986294 0.164999i \(-0.0527622\pi\)
\(54\) 4.88536 5.48937i 0.664814 0.747009i
\(55\) −0.0426438 0.214385i −0.00575010 0.0289077i
\(56\) −4.54935 0.0948923i −0.607933 0.0126805i
\(57\) −1.00968 0.121855i −0.133735 0.0161401i
\(58\) 4.21095 10.9566i 0.552925 1.43867i
\(59\) 3.41257 1.03519i 0.444279 0.134771i −0.0602155 0.998185i \(-0.519179\pi\)
0.504495 + 0.863415i \(0.331679\pi\)
\(60\) 0.184997 + 0.550602i 0.0238830 + 0.0710825i
\(61\) 7.54630 9.19519i 0.966205 1.17732i −0.0179188 0.999839i \(-0.505704\pi\)
0.984124 0.177484i \(-0.0567959\pi\)
\(62\) 0.465936 0.154560i 0.0591740 0.0196292i
\(63\) −4.77036 + 0.733108i −0.601009 + 0.0923630i
\(64\) −7.51227 + 2.75061i −0.939033 + 0.343826i
\(65\) −0.961697 −0.119284
\(66\) 2.94539 1.23330i 0.362553 0.151809i
\(67\) −9.47243 7.77382i −1.15724 0.949723i −0.157953 0.987447i \(-0.550489\pi\)
−0.999288 + 0.0377232i \(0.987989\pi\)
\(68\) 5.68765 + 3.39006i 0.689729 + 0.411106i
\(69\) 2.18055 0.847680i 0.262507 0.102049i
\(70\) 0.136860 0.356099i 0.0163579 0.0425620i
\(71\) 1.05700 5.31392i 0.125443 0.630647i −0.865993 0.500056i \(-0.833313\pi\)
0.991436 0.130590i \(-0.0416873\pi\)
\(72\) −7.34536 + 4.24802i −0.865659 + 0.500634i
\(73\) 6.82623 1.35782i 0.798950 0.158921i 0.221300 0.975206i \(-0.428970\pi\)
0.577650 + 0.816285i \(0.303970\pi\)
\(74\) 1.58924 + 2.25066i 0.184745 + 0.261634i
\(75\) 8.60949 + 0.188848i 0.994138 + 0.0218063i
\(76\) 1.06282 + 0.499482i 0.121914 + 0.0572945i
\(77\) −2.00693 0.608794i −0.228710 0.0693785i
\(78\) −2.79371 13.7683i −0.316325 1.55895i
\(79\) 4.45493 10.7552i 0.501219 1.21005i −0.447601 0.894233i \(-0.647722\pi\)
0.948820 0.315817i \(-0.102278\pi\)
\(80\) −0.00329835 0.670700i −0.000368767 0.0749865i
\(81\) −6.89706 + 5.78192i −0.766339 + 0.642436i
\(82\) −7.01661 + 3.98626i −0.774855 + 0.440209i
\(83\) 7.46140 3.98820i 0.818995 0.437762i −0.00800217 0.999968i \(-0.502547\pi\)
0.826997 + 0.562206i \(0.190047\pi\)
\(84\) 5.49572 + 0.924914i 0.599632 + 0.100916i
\(85\) −0.429115 + 0.352165i −0.0465440 + 0.0381977i
\(86\) −1.87911 8.32020i −0.202630 0.897191i
\(87\) −7.05319 + 12.5268i −0.756181 + 1.34301i
\(88\) −3.67615 + 0.284805i −0.391879 + 0.0303603i
\(89\) −7.70086 + 5.14555i −0.816290 + 0.545427i −0.892175 0.451689i \(-0.850822\pi\)
0.0758856 + 0.997117i \(0.475822\pi\)
\(90\) −0.126142 0.700120i −0.0132966 0.0737991i
\(91\) −4.34961 + 8.13755i −0.455963 + 0.853047i
\(92\) −2.69785 + 0.139188i −0.281271 + 0.0145113i
\(93\) −0.592109 + 0.104335i −0.0613988 + 0.0108190i
\(94\) −13.0211 0.944402i −1.34303 0.0974077i
\(95\) −0.0696179 + 0.0696179i −0.00714265 + 0.00714265i
\(96\) 9.59258 1.99559i 0.979039 0.203674i
\(97\) −5.99533 5.99533i −0.608734 0.608734i 0.333881 0.942615i \(-0.391642\pi\)
−0.942615 + 0.333881i \(0.891642\pi\)
\(98\) 4.08110 + 4.71938i 0.412253 + 0.476730i
\(99\) −3.78861 + 0.970061i −0.380769 + 0.0974948i
\(100\) −9.37071 3.32692i −0.937071 0.332692i
\(101\) 6.90370 + 3.69010i 0.686944 + 0.367179i 0.777649 0.628699i \(-0.216412\pi\)
−0.0907051 + 0.995878i \(0.528912\pi\)
\(102\) −6.28839 5.12045i −0.622644 0.507000i
\(103\) −3.88592 5.81570i −0.382891 0.573037i 0.589098 0.808061i \(-0.299483\pi\)
−0.971990 + 0.235024i \(0.924483\pi\)
\(104\) −1.92637 + 16.1074i −0.188897 + 1.57946i
\(105\) −0.229235 + 0.407133i −0.0223711 + 0.0397321i
\(106\) 2.86833 4.54193i 0.278596 0.441151i
\(107\) 9.31797 + 11.3540i 0.900802 + 1.09763i 0.994779 + 0.102056i \(0.0325421\pi\)
−0.0939766 + 0.995574i \(0.529958\pi\)
\(108\) 9.65692 3.83977i 0.929238 0.369482i
\(109\) −3.05415 5.71391i −0.292534 0.547293i 0.692126 0.721777i \(-0.256674\pi\)
−0.984660 + 0.174484i \(0.944174\pi\)
\(110\) 0.0820815 0.298029i 0.00782617 0.0284160i
\(111\) −1.52505 3.01014i −0.144751 0.285710i
\(112\) −5.69015 3.00557i −0.537669 0.283999i
\(113\) 4.61642 + 1.91218i 0.434276 + 0.179883i 0.589102 0.808059i \(-0.299482\pi\)
−0.154826 + 0.987942i \(0.549482\pi\)
\(114\) −1.19893 0.794456i −0.112290 0.0744076i
\(115\) 0.0657450 0.216732i 0.00613076 0.0202104i
\(116\) 12.2723 11.1780i 1.13945 1.03786i
\(117\) 0.934046 + 17.1809i 0.0863526 + 1.58837i
\(118\) 4.97008 + 0.856097i 0.457533 + 0.0788101i
\(119\) 1.03908 + 5.22381i 0.0952524 + 0.478866i
\(120\) −0.115409 + 0.813298i −0.0105354 + 0.0742436i
\(121\) 9.12190 + 1.81446i 0.829263 + 0.164951i
\(122\) 15.3709 6.83607i 1.39162 0.618909i
\(123\) 9.21197 3.58112i 0.830615 0.322899i
\(124\) 0.686976 + 0.100177i 0.0616922 + 0.00899620i
\(125\) 1.06074 1.29252i 0.0948755 0.115606i
\(126\) −6.49470 2.09917i −0.578594 0.187009i
\(127\) 8.51468i 0.755556i −0.925896 0.377778i \(-0.876688\pi\)
0.925896 0.377778i \(-0.123312\pi\)
\(128\) −11.2401 1.28823i −0.993496 0.113865i
\(129\) 0.795727 + 10.4164i 0.0700598 + 0.917116i
\(130\) −1.21558 0.609997i −0.106613 0.0535003i
\(131\) 10.2221 + 8.38908i 0.893112 + 0.732958i 0.964386 0.264499i \(-0.0852066\pi\)
−0.0712744 + 0.997457i \(0.522707\pi\)
\(132\) 4.50522 + 0.309363i 0.392129 + 0.0269266i
\(133\) 0.274212 + 0.903955i 0.0237772 + 0.0783828i
\(134\) −7.04218 15.8343i −0.608352 1.36788i
\(135\) 0.0282075 + 0.870818i 0.00242771 + 0.0749481i
\(136\) 5.03884 + 7.89265i 0.432077 + 0.676789i
\(137\) −8.20536 + 1.63215i −0.701031 + 0.139444i −0.532722 0.846291i \(-0.678831\pi\)
−0.168309 + 0.985734i \(0.553831\pi\)
\(138\) 3.29387 + 0.311645i 0.280393 + 0.0265290i
\(139\) 18.7996 + 1.85160i 1.59456 + 0.157050i 0.855941 0.517073i \(-0.172978\pi\)
0.738619 + 0.674123i \(0.235478\pi\)
\(140\) 0.398861 0.363297i 0.0337099 0.0307042i
\(141\) 15.6100 + 3.46254i 1.31460 + 0.291599i
\(142\) 4.70663 6.04630i 0.394971 0.507394i
\(143\) −2.86122 + 6.90760i −0.239268 + 0.577643i
\(144\) −11.9790 + 0.710341i −0.998246 + 0.0591951i
\(145\) 0.532586 + 1.28578i 0.0442288 + 0.106778i
\(146\) 9.48955 + 2.61356i 0.785361 + 0.216299i
\(147\) −4.10501 6.44521i −0.338576 0.531592i
\(148\) 0.581203 + 3.85286i 0.0477746 + 0.316703i
\(149\) −15.2229 + 12.4931i −1.24711 + 1.02348i −0.248617 + 0.968602i \(0.579976\pi\)
−0.998493 + 0.0548749i \(0.982524\pi\)
\(150\) 10.7625 + 5.69964i 0.878756 + 0.465374i
\(151\) 10.9984 + 7.34892i 0.895040 + 0.598047i 0.915754 0.401739i \(-0.131594\pi\)
−0.0207141 + 0.999785i \(0.506594\pi\)
\(152\) 1.02658 + 1.30548i 0.0832663 + 0.105888i
\(153\) 6.70827 + 7.32417i 0.542331 + 0.592124i
\(154\) −2.15058 2.04249i −0.173299 0.164588i
\(155\) −0.0274372 + 0.0513315i −0.00220381 + 0.00412304i
\(156\) 5.20189 19.1750i 0.416485 1.53523i
\(157\) −6.92657 + 0.682208i −0.552801 + 0.0544461i −0.370561 0.928808i \(-0.620835\pi\)
−0.182240 + 0.983254i \(0.558335\pi\)
\(158\) 12.4529 10.7687i 0.990701 0.856711i
\(159\) −4.28426 + 4.99296i −0.339764 + 0.395968i
\(160\) 0.421251 0.849850i 0.0333028 0.0671866i
\(161\) −1.53656 1.53656i −0.121098 0.121098i
\(162\) −12.3852 + 2.93354i −0.973077 + 0.230481i
\(163\) −19.8142 + 1.95153i −1.55197 + 0.152856i −0.837354 0.546661i \(-0.815899\pi\)
−0.714616 + 0.699517i \(0.753399\pi\)
\(164\) −11.3974 + 0.588014i −0.889987 + 0.0459162i
\(165\) −0.152520 + 0.346520i −0.0118737 + 0.0269765i
\(166\) 11.9608 0.308336i 0.928340 0.0239315i
\(167\) −0.514610 0.770169i −0.0398217 0.0595974i 0.811025 0.585012i \(-0.198910\pi\)
−0.850846 + 0.525415i \(0.823910\pi\)
\(168\) 6.35987 + 4.65498i 0.490675 + 0.359140i
\(169\) 16.5421 + 11.0531i 1.27247 + 0.850235i
\(170\) −0.765773 + 0.172949i −0.0587321 + 0.0132646i
\(171\) 1.31135 + 1.17612i 0.100282 + 0.0899401i
\(172\) 2.90227 11.7086i 0.221296 0.892770i
\(173\) −10.7409 20.0948i −0.816617 1.52778i −0.849052 0.528309i \(-0.822826\pi\)
0.0324354 0.999474i \(-0.489674\pi\)
\(174\) −16.8608 + 11.3600i −1.27822 + 0.861198i
\(175\) −3.06097 7.38985i −0.231388 0.558620i
\(176\) −4.82727 1.97176i −0.363869 0.148627i
\(177\) −5.87001 1.92220i −0.441217 0.144481i
\(178\) −12.9976 + 1.61933i −0.974212 + 0.121374i
\(179\) 0.427130 1.40806i 0.0319252 0.105243i −0.939530 0.342467i \(-0.888737\pi\)
0.971455 + 0.237224i \(0.0762375\pi\)
\(180\) 0.284639 0.964956i 0.0212157 0.0719236i
\(181\) −15.3838 1.51518i −1.14347 0.112622i −0.491509 0.870873i \(-0.663554\pi\)
−0.651963 + 0.758251i \(0.726054\pi\)
\(182\) −10.6595 + 7.52686i −0.790132 + 0.557928i
\(183\) −19.8425 + 5.54701i −1.46680 + 0.410047i
\(184\) −3.49835 1.53530i −0.257902 0.113184i
\(185\) −0.320395 0.0637306i −0.0235559 0.00468556i
\(186\) −0.814598 0.243692i −0.0597293 0.0178684i
\(187\) 1.25281 + 4.12997i 0.0916147 + 0.302013i
\(188\) −15.8596 9.45293i −1.15668 0.689426i
\(189\) 7.49615 + 3.69990i 0.545264 + 0.269128i
\(190\) −0.132155 + 0.0438383i −0.00958750 + 0.00318036i
\(191\) 13.7923i 0.997976i 0.866609 + 0.498988i \(0.166295\pi\)
−0.866609 + 0.498988i \(0.833705\pi\)
\(192\) 13.3907 + 3.56210i 0.966392 + 0.257073i
\(193\) 8.07184i 0.581024i −0.956871 0.290512i \(-0.906174\pi\)
0.956871 0.290512i \(-0.0938256\pi\)
\(194\) −3.77525 11.3808i −0.271047 0.817097i
\(195\) 1.36436 + 0.955567i 0.0977037 + 0.0684296i
\(196\) 2.16500 + 8.55387i 0.154643 + 0.610990i
\(197\) −7.23264 23.8428i −0.515304 1.69873i −0.698462 0.715647i \(-0.746132\pi\)
0.183158 0.983083i \(-0.441368\pi\)
\(198\) −5.40407 1.17694i −0.384050 0.0836415i
\(199\) 2.91158 + 0.579149i 0.206396 + 0.0410548i 0.297206 0.954814i \(-0.403945\pi\)
−0.0908092 + 0.995868i \(0.528945\pi\)
\(200\) −9.73424 10.1490i −0.688315 0.717641i
\(201\) 5.71425 + 20.4408i 0.403052 + 1.44178i
\(202\) 6.38561 + 9.04323i 0.449290 + 0.636279i
\(203\) 13.2886 + 1.30881i 0.932677 + 0.0918606i
\(204\) −4.70061 10.4609i −0.329108 0.732408i
\(205\) 0.277747 0.915611i 0.0193987 0.0639490i
\(206\) −1.22292 9.81580i −0.0852046 0.683899i
\(207\) −3.93581 0.964045i −0.273558 0.0670058i
\(208\) −12.6517 + 19.1377i −0.877240 + 1.32696i
\(209\) 0.292920 + 0.707173i 0.0202617 + 0.0489162i
\(210\) −0.547993 + 0.369210i −0.0378151 + 0.0254779i
\(211\) 11.8179 + 22.1098i 0.813581 + 1.52210i 0.852421 + 0.522857i \(0.175134\pi\)
−0.0388400 + 0.999245i \(0.512366\pi\)
\(212\) 6.50645 3.92159i 0.446865 0.269336i
\(213\) −6.77963 + 6.48859i −0.464532 + 0.444591i
\(214\) 4.57608 + 20.2616i 0.312814 + 1.38506i
\(215\) 0.840895 + 0.561868i 0.0573485 + 0.0383191i
\(216\) 14.6418 + 1.27189i 0.996248 + 0.0865412i
\(217\) 0.310255 + 0.464329i 0.0210615 + 0.0315207i
\(218\) −0.236123 9.15955i −0.0159922 0.620363i
\(219\) −11.0335 4.85638i −0.745577 0.328164i
\(220\) 0.292788 0.324643i 0.0197398 0.0218874i
\(221\) 18.8966 1.86115i 1.27112 0.125195i
\(222\) −0.0183333 4.77212i −0.00123045 0.320284i
\(223\) −11.2434 11.2434i −0.752916 0.752916i 0.222106 0.975022i \(-0.428707\pi\)
−0.975022 + 0.222106i \(0.928707\pi\)
\(224\) −5.28589 7.40823i −0.353178 0.494983i
\(225\) −12.0266 8.82253i −0.801775 0.588169i
\(226\) 4.62223 + 5.34515i 0.307466 + 0.355554i
\(227\) −12.9139 + 1.27191i −0.857124 + 0.0844193i −0.517025 0.855970i \(-0.672961\pi\)
−0.340099 + 0.940390i \(0.610461\pi\)
\(228\) −1.01152 1.76466i −0.0669897 0.116867i
\(229\) −2.89316 + 5.41272i −0.191185 + 0.357683i −0.959190 0.282761i \(-0.908750\pi\)
0.768005 + 0.640444i \(0.221250\pi\)
\(230\) 0.220573 0.232246i 0.0145441 0.0153139i
\(231\) 2.24231 + 2.85783i 0.147533 + 0.188031i
\(232\) 22.6022 6.34472i 1.48391 0.416551i
\(233\) 21.0691 + 14.0779i 1.38028 + 0.922276i 0.999997 0.00259196i \(-0.000825047\pi\)
0.380287 + 0.924868i \(0.375825\pi\)
\(234\) −9.71708 + 22.3089i −0.635225 + 1.45838i
\(235\) 1.19655 0.981985i 0.0780545 0.0640577i
\(236\) 5.73911 + 4.23458i 0.373585 + 0.275648i
\(237\) −17.0068 + 10.8318i −1.10471 + 0.703601i
\(238\) −2.00004 + 7.26193i −0.129643 + 0.470721i
\(239\) −3.88561 9.38069i −0.251339 0.606786i 0.746974 0.664854i \(-0.231506\pi\)
−0.998313 + 0.0580674i \(0.981506\pi\)
\(240\) −0.661745 + 0.954798i −0.0427155 + 0.0616320i
\(241\) 3.85509 9.30701i 0.248328 0.599517i −0.749734 0.661739i \(-0.769819\pi\)
0.998062 + 0.0622217i \(0.0198186\pi\)
\(242\) 10.3791 + 8.07941i 0.667193 + 0.519364i
\(243\) 15.5299 1.34971i 0.996245 0.0865840i
\(244\) 23.7647 + 1.10892i 1.52138 + 0.0709912i
\(245\) −0.736195 0.0725088i −0.0470338 0.00463242i
\(246\) 13.9153 + 1.31658i 0.887208 + 0.0839422i
\(247\) 3.30295 0.656997i 0.210161 0.0418037i
\(248\) 0.804789 + 0.562367i 0.0511041 + 0.0357103i
\(249\) −14.5483 1.75579i −0.921959 0.111268i
\(250\) 2.16060 0.960908i 0.136648 0.0607732i
\(251\) 3.86493 + 12.7410i 0.243952 + 0.804202i 0.990336 + 0.138687i \(0.0442882\pi\)
−0.746384 + 0.665515i \(0.768212\pi\)
\(252\) −6.87776 6.77287i −0.433258 0.426651i
\(253\) −1.36113 1.11705i −0.0855732 0.0702281i
\(254\) 5.40080 10.7625i 0.338876 0.675298i
\(255\) 0.958705 0.0732369i 0.0600365 0.00458627i
\(256\) −13.3903 8.75785i −0.836894 0.547366i
\(257\) 10.4702i 0.653112i 0.945178 + 0.326556i \(0.105888\pi\)
−0.945178 + 0.326556i \(0.894112\pi\)
\(258\) −5.60128 + 13.6710i −0.348720 + 0.851119i
\(259\) −1.98837 + 2.42283i −0.123551 + 0.150547i
\(260\) −1.14956 1.54206i −0.0712926 0.0956346i
\(261\) 22.4533 10.7635i 1.38983 0.666246i
\(262\) 7.59954 + 17.0875i 0.469501 + 1.05567i
\(263\) −1.04856 0.208572i −0.0646571 0.0128611i 0.162656 0.986683i \(-0.447994\pi\)
−0.227313 + 0.973822i \(0.572994\pi\)
\(264\) 5.49834 + 3.24866i 0.338399 + 0.199941i
\(265\) 0.124255 + 0.624674i 0.00763294 + 0.0383734i
\(266\) −0.226771 + 1.31652i −0.0139042 + 0.0807211i
\(267\) 16.0380 + 0.351791i 0.981507 + 0.0215293i
\(268\) 1.14235 24.4813i 0.0697803 1.49543i
\(269\) 2.69561 8.88624i 0.164354 0.541804i −0.835617 0.549312i \(-0.814890\pi\)
0.999972 + 0.00750803i \(0.00238990\pi\)
\(270\) −0.516700 + 1.11860i −0.0314453 + 0.0680757i
\(271\) 12.3457 + 5.11376i 0.749948 + 0.310639i 0.724720 0.689043i \(-0.241969\pi\)
0.0252276 + 0.999682i \(0.491969\pi\)
\(272\) 1.36280 + 13.1723i 0.0826319 + 0.798690i
\(273\) 14.2565 7.22284i 0.862841 0.437146i
\(274\) −11.4068 3.14158i −0.689107 0.189790i
\(275\) −3.05531 5.71608i −0.184242 0.344692i
\(276\) 3.96574 + 2.48319i 0.238710 + 0.149471i
\(277\) −14.7239 17.9412i −0.884676 1.07798i −0.996445 0.0842469i \(-0.973152\pi\)
0.111769 0.993734i \(-0.464348\pi\)
\(278\) 22.5880 + 14.2648i 1.35474 + 0.855549i
\(279\) 0.943693 + 0.440315i 0.0564974 + 0.0263610i
\(280\) 0.734593 0.206209i 0.0439004 0.0123234i
\(281\) −15.8962 23.7903i −0.948285 1.41921i −0.907505 0.420041i \(-0.862016\pi\)
−0.0407797 0.999168i \(-0.512984\pi\)
\(282\) 17.5347 + 14.2780i 1.04418 + 0.850240i
\(283\) 19.8259 + 10.5972i 1.17853 + 0.629936i 0.939991 0.341198i \(-0.110833\pi\)
0.238536 + 0.971134i \(0.423333\pi\)
\(284\) 9.78426 4.65708i 0.580589 0.276347i
\(285\) 0.167941 0.0295927i 0.00994797 0.00175292i
\(286\) −7.99800 + 6.91629i −0.472932 + 0.408969i
\(287\) −6.49138 6.49138i −0.383174 0.383174i
\(288\) −15.5919 6.70030i −0.918759 0.394819i
\(289\) −4.27059 + 4.27059i −0.251211 + 0.251211i
\(290\) −0.142375 + 1.96302i −0.00836055 + 0.115273i
\(291\) 2.54845 + 14.4627i 0.149393 + 0.847818i
\(292\) 10.3369 + 9.32266i 0.604924 + 0.545568i
\(293\) 9.70757 18.1616i 0.567122 1.06101i −0.420959 0.907080i \(-0.638306\pi\)
0.988081 0.153932i \(-0.0491936\pi\)
\(294\) −1.10055 10.7505i −0.0641851 0.626980i
\(295\) −0.497184 + 0.332208i −0.0289472 + 0.0193419i
\(296\) −1.70920 + 5.23863i −0.0993455 + 0.304489i
\(297\) 6.33877 + 2.38824i 0.367813 + 0.138580i
\(298\) −27.1659 + 6.13541i −1.57368 + 0.355415i
\(299\) −5.98847 + 4.91461i −0.346322 + 0.284219i
\(300\) 9.98849 + 14.0309i 0.576686 + 0.810073i
\(301\) 8.55758 4.57412i 0.493251 0.263648i
\(302\) 9.24056 + 16.2652i 0.531734 + 0.935957i
\(303\) −6.12769 12.0948i −0.352026 0.694831i
\(304\) 0.469526 + 2.30126i 0.0269292 + 0.131987i
\(305\) −0.763288 + 1.84274i −0.0437057 + 0.105515i
\(306\) 3.83352 + 13.5127i 0.219148 + 0.772469i
\(307\) −13.5277 4.10359i −0.772069 0.234204i −0.120418 0.992723i \(-0.538423\pi\)
−0.651651 + 0.758519i \(0.725923\pi\)
\(308\) −1.42278 3.94579i −0.0810703 0.224832i
\(309\) −0.265673 + 12.1119i −0.0151136 + 0.689021i
\(310\) −0.0672396 + 0.0474792i −0.00381895 + 0.00269664i
\(311\) 1.90269 0.378469i 0.107892 0.0214610i −0.140849 0.990031i \(-0.544983\pi\)
0.248741 + 0.968570i \(0.419983\pi\)
\(312\) 18.7377 20.9375i 1.06081 1.18535i
\(313\) −4.01745 + 20.1971i −0.227079 + 1.14161i 0.684034 + 0.729450i \(0.260224\pi\)
−0.911114 + 0.412155i \(0.864776\pi\)
\(314\) −9.18784 3.53117i −0.518500 0.199276i
\(315\) 0.729754 0.349825i 0.0411170 0.0197104i
\(316\) 22.5709 5.71273i 1.26971 0.321366i
\(317\) 15.2883 + 12.5468i 0.858679 + 0.704700i 0.956885 0.290467i \(-0.0938105\pi\)
−0.0982063 + 0.995166i \(0.531311\pi\)
\(318\) −8.58227 + 3.59358i −0.481270 + 0.201518i
\(319\) 10.8199 0.605799
\(320\) 1.07151 0.807006i 0.0598993 0.0451130i
\(321\) −1.93778 25.3665i −0.108156 1.41582i
\(322\) −0.967569 2.91683i −0.0539205 0.162548i
\(323\) 1.23321 1.50267i 0.0686175 0.0836106i
\(324\) −17.5156 4.14790i −0.973087 0.230439i
\(325\) −27.2879 + 8.27770i −1.51366 + 0.459164i
\(326\) −26.2828 10.1013i −1.45567 0.559460i
\(327\) −1.34457 + 11.1410i −0.0743551 + 0.616099i
\(328\) −14.7792 6.48604i −0.816043 0.358132i
\(329\) −2.89740 14.5662i −0.159739 0.803060i
\(330\) −0.412579 + 0.341256i −0.0227117 + 0.0187855i
\(331\) 1.01833 10.3393i 0.0559725 0.568298i −0.925771 0.378086i \(-0.876582\pi\)
0.981743 0.190212i \(-0.0609176\pi\)
\(332\) 15.3140 + 7.19693i 0.840462 + 0.394983i
\(333\) −0.827374 + 5.78581i −0.0453398 + 0.317061i
\(334\) −0.161950 1.29990i −0.00886151 0.0711274i
\(335\) 1.89830 + 0.786301i 0.103715 + 0.0429602i
\(336\) 5.08620 + 9.91788i 0.277475 + 0.541064i
\(337\) −1.69360 + 0.701512i −0.0922563 + 0.0382138i −0.428334 0.903620i \(-0.640899\pi\)
0.336078 + 0.941834i \(0.390899\pi\)
\(338\) 13.8981 + 24.4635i 0.755959 + 1.33064i
\(339\) −4.64931 7.29981i −0.252516 0.396471i
\(340\) −1.07763 0.267118i −0.0584427 0.0144865i
\(341\) 0.287069 + 0.349795i 0.0155457 + 0.0189424i
\(342\) 0.911533 + 2.31839i 0.0492900 + 0.125364i
\(343\) −10.1998 + 15.2651i −0.550738 + 0.824238i
\(344\) 11.0951 12.9586i 0.598208 0.698683i
\(345\) −0.308623 + 0.242152i −0.0166157 + 0.0130370i
\(346\) −0.830403 32.2126i −0.0446427 1.73176i
\(347\) −25.1008 13.4167i −1.34748 0.720244i −0.369558 0.929208i \(-0.620491\pi\)
−0.977923 + 0.208964i \(0.932991\pi\)
\(348\) −28.5175 + 3.66421i −1.52870 + 0.196422i
\(349\) −1.40356 14.2506i −0.0751309 0.762816i −0.956761 0.290875i \(-0.906054\pi\)
0.881630 0.471941i \(-0.156446\pi\)
\(350\) 0.818284 11.2823i 0.0437391 0.603062i
\(351\) 15.7462 25.3026i 0.840472 1.35055i
\(352\) −4.85094 5.55419i −0.258556 0.296039i
\(353\) −8.81793 + 8.81793i −0.469331 + 0.469331i −0.901698 0.432367i \(-0.857679\pi\)
0.432367 + 0.901698i \(0.357679\pi\)
\(354\) −6.20040 6.15294i −0.329548 0.327025i
\(355\) 0.0890465 + 0.904104i 0.00472610 + 0.0479849i
\(356\) −17.4560 6.19748i −0.925165 0.328466i
\(357\) 3.71638 8.44348i 0.196691 0.446876i
\(358\) 1.43301 1.50885i 0.0757370 0.0797452i
\(359\) 12.2313 8.17267i 0.645541 0.431337i −0.189231 0.981933i \(-0.560599\pi\)
0.834772 + 0.550596i \(0.185599\pi\)
\(360\) 0.971845 1.03915i 0.0512208 0.0547681i
\(361\) −10.3643 + 15.5113i −0.545489 + 0.816382i
\(362\) −18.4840 11.6730i −0.971496 0.613521i
\(363\) −11.1383 11.6379i −0.584611 0.610833i
\(364\) −18.2477 + 2.75266i −0.956439 + 0.144279i
\(365\) −1.02922 + 0.550132i −0.0538721 + 0.0287952i
\(366\) −28.5992 5.57460i −1.49490 0.291389i
\(367\) 34.2855 14.2015i 1.78969 0.741313i 0.799659 0.600454i \(-0.205013\pi\)
0.990030 0.140859i \(-0.0449866\pi\)
\(368\) −3.44805 4.15958i −0.179742 0.216833i
\(369\) −16.6273 4.07272i −0.865583 0.212017i
\(370\) −0.364553 0.283779i −0.0189522 0.0147530i
\(371\) 5.84777 + 1.77390i 0.303601 + 0.0920963i
\(372\) −0.875073 0.824719i −0.0453704 0.0427597i
\(373\) −2.48078 + 25.1878i −0.128450 + 1.30417i 0.687557 + 0.726131i \(0.258683\pi\)
−0.816006 + 0.578043i \(0.803817\pi\)
\(374\) −1.03607 + 6.01489i −0.0535738 + 0.311023i
\(375\) −2.78915 + 0.779711i −0.144031 + 0.0402641i
\(376\) −14.0504 22.0080i −0.724595 1.13498i
\(377\) 9.28703 46.6891i 0.478306 2.40461i
\(378\) 7.12824 + 9.43139i 0.366637 + 0.485098i
\(379\) −10.8344 + 3.28658i −0.556525 + 0.168820i −0.556004 0.831180i \(-0.687666\pi\)
−0.000521514 1.00000i \(0.500166\pi\)
\(380\) −0.194848 0.0284136i −0.00999551 0.00145759i
\(381\) −8.46041 + 12.0798i −0.433440 + 0.618865i
\(382\) −8.74836 + 17.4333i −0.447605 + 0.891967i
\(383\) 10.5248 0.537795 0.268897 0.963169i \(-0.413341\pi\)
0.268897 + 0.963169i \(0.413341\pi\)
\(384\) 14.6663 + 12.9961i 0.748438 + 0.663205i
\(385\) 0.351657 0.0179221
\(386\) 5.11991 10.2027i 0.260597 0.519305i
\(387\) 9.22115 15.5684i 0.468737 0.791388i
\(388\) 2.44691 16.7799i 0.124223 0.851870i
\(389\) −30.5124 + 9.25583i −1.54704 + 0.469289i −0.944420 0.328740i \(-0.893376\pi\)
−0.602619 + 0.798029i \(0.705876\pi\)
\(390\) 1.11843 + 2.07323i 0.0566337 + 0.104982i
\(391\) −0.872401 + 4.38585i −0.0441192 + 0.221802i
\(392\) −2.68912 + 12.1853i −0.135821 + 0.615448i
\(393\) −6.16651 22.0586i −0.311059 1.11271i
\(394\) 5.98134 34.7247i 0.301336 1.74941i
\(395\) −0.191327 + 1.94258i −0.00962672 + 0.0977417i
\(396\) −6.08417 4.91540i −0.305741 0.247008i
\(397\) −6.48353 1.96676i −0.325399 0.0987087i 0.123359 0.992362i \(-0.460633\pi\)
−0.448758 + 0.893653i \(0.648133\pi\)
\(398\) 3.31286 + 2.57883i 0.166059 + 0.129265i
\(399\) 0.509169 1.55490i 0.0254904 0.0778425i
\(400\) −5.86657 19.0026i −0.293328 0.950128i
\(401\) 21.1054 8.74215i 1.05395 0.436562i 0.212652 0.977128i \(-0.431790\pi\)
0.841302 + 0.540566i \(0.181790\pi\)
\(402\) −5.74267 + 29.4614i −0.286419 + 1.46940i
\(403\) 1.75580 0.938495i 0.0874626 0.0467497i
\(404\) 2.33529 + 15.4809i 0.116185 + 0.770204i
\(405\) 0.825250 1.26346i 0.0410070 0.0627817i
\(406\) 15.9665 + 10.0832i 0.792404 + 0.500420i
\(407\) −1.41099 + 2.11170i −0.0699404 + 0.104673i
\(408\) 0.693741 16.2040i 0.0343453 0.802218i
\(409\) 23.6441 15.7985i 1.16913 0.781184i 0.189473 0.981886i \(-0.439322\pi\)
0.979652 + 0.200702i \(0.0643222\pi\)
\(410\) 0.931836 0.981150i 0.0460201 0.0484556i
\(411\) 13.2627 + 5.83753i 0.654200 + 0.287944i
\(412\) 4.68034 13.1828i 0.230584 0.649468i
\(413\) 0.562339 + 5.70952i 0.0276709 + 0.280947i
\(414\) −4.36335 3.71500i −0.214447 0.182582i
\(415\) −1.00311 + 1.00311i −0.0492408 + 0.0492408i
\(416\) −28.1306 + 16.1650i −1.37922 + 0.792555i
\(417\) −24.8312 21.3066i −1.21599 1.04339i
\(418\) −0.0783058 + 1.07966i −0.00383006 + 0.0528078i
\(419\) −1.33858 13.5909i −0.0653941 0.663957i −0.970878 0.239576i \(-0.922992\pi\)
0.905484 0.424381i \(-0.139508\pi\)
\(420\) −0.926845 + 0.119090i −0.0452254 + 0.00581101i
\(421\) 3.48495 + 1.86275i 0.169846 + 0.0907847i 0.554129 0.832431i \(-0.313051\pi\)
−0.384283 + 0.923215i \(0.625551\pi\)
\(422\) 0.913670 + 35.4426i 0.0444768 + 1.72532i
\(423\) −18.7055 20.4229i −0.909492 0.992994i
\(424\) 10.7115 0.829863i 0.520198 0.0403017i
\(425\) −9.14481 + 13.6862i −0.443588 + 0.663877i
\(426\) −12.6850 + 3.90125i −0.614593 + 0.189016i
\(427\) 12.1404 + 14.7931i 0.587515 + 0.715890i
\(428\) −7.06770 + 28.5131i −0.341630 + 1.37823i
\(429\) 10.9228 6.95682i 0.527357 0.335879i
\(430\) 0.706494 + 1.24357i 0.0340702 + 0.0599702i
\(431\) −27.2439 + 11.2848i −1.31229 + 0.543570i −0.925553 0.378618i \(-0.876399\pi\)
−0.386741 + 0.922188i \(0.626399\pi\)
\(432\) 17.7003 + 10.8948i 0.851608 + 0.524179i
\(433\) −32.2181 13.3452i −1.54830 0.641329i −0.565296 0.824888i \(-0.691238\pi\)
−0.983009 + 0.183559i \(0.941238\pi\)
\(434\) 0.0976385 + 0.783700i 0.00468680 + 0.0376188i
\(435\) 0.522002 2.35332i 0.0250281 0.112833i
\(436\) 5.51138 11.7274i 0.263947 0.561639i
\(437\) −0.0777375 + 0.789282i −0.00371869 + 0.0377565i
\(438\) −10.8659 13.1369i −0.519194 0.627706i
\(439\) 3.68762 + 18.5389i 0.176000 + 0.884814i 0.963338 + 0.268291i \(0.0864590\pi\)
−0.787337 + 0.616522i \(0.788541\pi\)
\(440\) 0.576000 0.224632i 0.0274597 0.0107089i
\(441\) −0.580355 + 13.2227i −0.0276360 + 0.629651i
\(442\) 25.0656 + 9.63349i 1.19225 + 0.458218i
\(443\) −4.77476 + 1.44841i −0.226856 + 0.0688160i −0.401666 0.915786i \(-0.631569\pi\)
0.174810 + 0.984602i \(0.444069\pi\)
\(444\) 3.00375 6.04354i 0.142552 0.286814i
\(445\) 0.985201 1.20047i 0.0467030 0.0569078i
\(446\) −7.07997 21.3432i −0.335246 1.01063i
\(447\) 34.0102 2.59809i 1.60863 0.122886i
\(448\) −1.98233 12.7167i −0.0936561 0.600809i
\(449\) −22.2470 −1.04990 −0.524951 0.851132i \(-0.675917\pi\)
−0.524951 + 0.851132i \(0.675917\pi\)
\(450\) −9.60547 18.7800i −0.452806 0.885298i
\(451\) −5.75023 4.71909i −0.270768 0.222213i
\(452\) 2.45207 + 9.68806i 0.115335 + 0.455688i
\(453\) −8.30139 21.3542i −0.390033 1.00331i
\(454\) −17.1298 6.58350i −0.803940 0.308979i
\(455\) 0.301837 1.51744i 0.0141503 0.0711386i
\(456\) −0.159244 2.87212i −0.00745726 0.134499i
\(457\) −23.4143 + 4.65738i −1.09527 + 0.217863i −0.709482 0.704723i \(-0.751071\pi\)
−0.385790 + 0.922587i \(0.626071\pi\)
\(458\) −7.09017 + 5.00652i −0.331302 + 0.233939i
\(459\) −2.23953 17.0563i −0.104532 0.796120i
\(460\) 0.426114 0.153649i 0.0198677 0.00716392i
\(461\) −3.59499 1.09053i −0.167435 0.0507909i 0.205454 0.978667i \(-0.434133\pi\)
−0.372889 + 0.927876i \(0.621633\pi\)
\(462\) 1.02156 + 5.03455i 0.0475271 + 0.234229i
\(463\) −6.67933 + 16.1253i −0.310415 + 0.749408i 0.689275 + 0.724500i \(0.257929\pi\)
−0.999690 + 0.0249077i \(0.992071\pi\)
\(464\) 32.5934 + 6.31676i 1.51311 + 0.293248i
\(465\) 0.0899295 0.0455615i 0.00417038 0.00211286i
\(466\) 17.7016 + 31.1584i 0.820013 + 1.44338i
\(467\) 34.5409 18.4625i 1.59836 0.854341i 0.599831 0.800127i \(-0.295235\pi\)
0.998529 0.0542142i \(-0.0172654\pi\)
\(468\) −26.4327 + 22.0348i −1.22185 + 1.01856i
\(469\) 15.2391 12.5064i 0.703678 0.577494i
\(470\) 2.13530 0.482256i 0.0984939 0.0222448i
\(471\) 10.5046 + 5.91458i 0.484026 + 0.272529i
\(472\) 4.56822 + 8.99275i 0.210269 + 0.413925i
\(473\) 6.53756 4.36826i 0.300597 0.200853i
\(474\) −28.3670 + 2.90398i −1.30294 + 0.133384i
\(475\) −1.37616 + 2.57462i −0.0631428 + 0.118132i
\(476\) −7.13423 + 7.91041i −0.326997 + 0.362573i
\(477\) 11.0392 2.82656i 0.505451 0.129419i
\(478\) 1.03873 14.3217i 0.0475105 0.655060i
\(479\) 25.1317 25.1317i 1.14830 1.14830i 0.161411 0.986887i \(-0.448395\pi\)
0.986887 0.161411i \(-0.0516046\pi\)
\(480\) −1.44206 + 0.787116i −0.0658208 + 0.0359267i
\(481\) 7.90112 + 7.90112i 0.360260 + 0.360260i
\(482\) 10.7762 9.31872i 0.490841 0.424456i
\(483\) 0.653150 + 3.70668i 0.0297193 + 0.168660i
\(484\) 7.99436 + 16.7957i 0.363380 + 0.763440i
\(485\) 1.25381 + 0.670175i 0.0569325 + 0.0304311i
\(486\) 20.4858 + 8.14449i 0.929254 + 0.369442i
\(487\) −2.99725 4.48570i −0.135818 0.203267i 0.757326 0.653038i \(-0.226506\pi\)
−0.893144 + 0.449771i \(0.851506\pi\)
\(488\) 29.3350 + 16.4755i 1.32793 + 0.745810i
\(489\) 30.0495 + 16.9193i 1.35889 + 0.765117i
\(490\) −0.884551 0.558614i −0.0399600 0.0252356i
\(491\) 13.5129 + 16.4655i 0.609829 + 0.743079i 0.982782 0.184771i \(-0.0591545\pi\)
−0.372952 + 0.927851i \(0.621654\pi\)
\(492\) 16.7537 + 10.4905i 0.755317 + 0.472950i
\(493\) −12.9532 24.2338i −0.583384 1.09143i
\(494\) 4.59162 + 1.26460i 0.206587 + 0.0568969i
\(495\) 0.560691 0.340060i 0.0252012 0.0152845i
\(496\) 0.660540 + 1.22130i 0.0296591 + 0.0548379i
\(497\) 8.05296 + 3.33565i 0.361225 + 0.149624i
\(498\) −17.2752 11.4472i −0.774120 0.512959i
\(499\) −2.48640 + 8.19658i −0.111307 + 0.366929i −0.994842 0.101435i \(-0.967657\pi\)
0.883535 + 0.468364i \(0.155157\pi\)
\(500\) 3.34048 + 0.155874i 0.149391 + 0.00697091i
\(501\) −0.0351829 + 1.60397i −0.00157186 + 0.0716600i
\(502\) −3.19627 + 18.5560i −0.142656 + 0.828193i
\(503\) 8.27375 + 41.5949i 0.368908 + 1.85463i 0.503875 + 0.863776i \(0.331907\pi\)
−0.134967 + 0.990850i \(0.543093\pi\)
\(504\) −4.39744 12.9234i −0.195877 0.575652i
\(505\) −1.28736 0.256071i −0.0572867 0.0113950i
\(506\) −1.01192 2.27529i −0.0449851 0.101149i
\(507\) −12.4856 32.1176i −0.554505 1.42639i
\(508\) 13.6531 10.1780i 0.605760 0.451575i
\(509\) −1.54033 + 1.87689i −0.0682738 + 0.0831919i −0.806027 0.591878i \(-0.798387\pi\)
0.737754 + 0.675070i \(0.235887\pi\)
\(510\) 1.25825 + 0.515529i 0.0557162 + 0.0228280i
\(511\) 11.1971i 0.495331i
\(512\) −11.3702 19.5632i −0.502495 0.864580i
\(513\) −0.691790 2.97155i −0.0305433 0.131197i
\(514\) −6.64116 + 13.2342i −0.292929 + 0.583736i
\(515\) 0.906596 + 0.744024i 0.0399494 + 0.0327856i
\(516\) −15.7514 + 13.7272i −0.693416 + 0.604305i
\(517\) −3.49337 11.5161i −0.153638 0.506477i
\(518\) −4.05006 + 1.80123i −0.177949 + 0.0791415i
\(519\) −4.72864 + 39.1810i −0.207564 + 1.71985i
\(520\) −0.474913 2.67831i −0.0208263 0.117452i
\(521\) 7.36067 1.46413i 0.322477 0.0641446i −0.0311976 0.999513i \(-0.509932\pi\)
0.353674 + 0.935369i \(0.384932\pi\)
\(522\) 35.2080 + 0.636970i 1.54101 + 0.0278794i
\(523\) −9.15742 0.901928i −0.400426 0.0394385i −0.104200 0.994556i \(-0.533228\pi\)
−0.296226 + 0.955118i \(0.595728\pi\)
\(524\) −1.23276 + 26.4188i −0.0538536 + 1.15411i
\(525\) −3.00015 + 13.5254i −0.130937 + 0.590298i
\(526\) −1.19308 0.928728i −0.0520206 0.0404945i
\(527\) 0.439779 1.06172i 0.0191571 0.0462493i
\(528\) 4.88924 + 7.59384i 0.212777 + 0.330479i
\(529\) 8.10353 + 19.5637i 0.352328 + 0.850594i
\(530\) −0.239169 + 0.868396i −0.0103888 + 0.0377207i
\(531\) 6.41783 + 8.55961i 0.278510 + 0.371456i
\(532\) −1.12170 + 1.52023i −0.0486317 + 0.0659104i
\(533\) −25.2990 + 20.7623i −1.09582 + 0.899316i
\(534\) 20.0487 + 10.6174i 0.867592 + 0.459461i
\(535\) −2.04778 1.36828i −0.0885331 0.0591559i
\(536\) 16.9722 30.2195i 0.733088 1.30528i
\(537\) −2.00505 + 1.57321i −0.0865245 + 0.0678888i
\(538\) 9.04371 9.52232i 0.389902 0.410536i
\(539\) −2.71112 + 5.07216i −0.116776 + 0.218473i
\(540\) −1.36262 + 1.08616i −0.0586379 + 0.0467408i
\(541\) −4.39750 + 0.433116i −0.189063 + 0.0186211i −0.192106 0.981374i \(-0.561532\pi\)
0.00304235 + 0.999995i \(0.499032\pi\)
\(542\) 12.3612 + 14.2945i 0.530960 + 0.614003i
\(543\) 20.3195 + 17.4354i 0.871994 + 0.748223i
\(544\) −6.63255 + 17.5141i −0.284368 + 0.750912i
\(545\) 0.768178 + 0.768178i 0.0329051 + 0.0329051i
\(546\) 22.6014 0.0868292i 0.967253 0.00371595i
\(547\) −19.2502 + 1.89598i −0.823080 + 0.0810663i −0.500784 0.865572i \(-0.666955\pi\)
−0.322296 + 0.946639i \(0.604455\pi\)
\(548\) −12.4253 11.2062i −0.530785 0.478703i
\(549\) 33.6622 + 11.8465i 1.43667 + 0.505597i
\(550\) −0.236212 9.16303i −0.0100721 0.390713i
\(551\) −2.70756 4.05215i −0.115346 0.172627i
\(552\) 3.43759 + 5.65417i 0.146314 + 0.240658i
\(553\) 15.5721 + 10.4049i 0.662193 + 0.442463i
\(554\) −7.23097 32.0168i −0.307214 1.36026i
\(555\) 0.391220 + 0.408768i 0.0166064 + 0.0173512i
\(556\) 19.5030 + 32.3581i 0.827111 + 1.37229i
\(557\) 8.62120 + 16.1291i 0.365292 + 0.683413i 0.995678 0.0928684i \(-0.0296036\pi\)
−0.630387 + 0.776281i \(0.717104\pi\)
\(558\) 0.913531 + 1.15513i 0.0386728 + 0.0489007i
\(559\) −13.2381 31.9597i −0.559913 1.35175i
\(560\) 1.05932 + 0.205301i 0.0447643 + 0.00867554i
\(561\) 2.32628 7.10401i 0.0982158 0.299932i
\(562\) −5.00259 40.1535i −0.211021 1.69377i
\(563\) 1.05341 3.47262i 0.0443959 0.146354i −0.931940 0.362612i \(-0.881885\pi\)
0.976336 + 0.216258i \(0.0693852\pi\)
\(564\) 13.1073 + 29.1693i 0.551916 + 1.22825i
\(565\) −0.833810 0.0821231i −0.0350786 0.00345495i
\(566\) 18.3380 + 25.9701i 0.770805 + 1.09161i
\(567\) −6.95846 12.6974i −0.292228 0.533241i
\(568\) 15.3212 + 0.319575i 0.642862 + 0.0134091i
\(569\) −15.0800 2.99960i −0.632188 0.125750i −0.131413 0.991328i \(-0.541951\pi\)
−0.500774 + 0.865578i \(0.666951\pi\)
\(570\) 0.231046 + 0.0691190i 0.00967747 + 0.00289508i
\(571\) −6.98954 23.0414i −0.292503 0.964254i −0.972864 0.231377i \(-0.925677\pi\)
0.680361 0.732877i \(-0.261823\pi\)
\(572\) −14.4964 + 3.66905i −0.606123 + 0.153411i
\(573\) 13.7044 19.5671i 0.572509 0.817428i
\(574\) −4.08761 12.3225i −0.170613 0.514330i
\(575\) 6.71563i 0.280061i
\(576\) −15.4580 18.3589i −0.644084 0.764955i
\(577\) 18.8965i 0.786672i 0.919395 + 0.393336i \(0.128679\pi\)
−0.919395 + 0.393336i \(0.871321\pi\)
\(578\) −8.10679 + 2.68918i −0.337198 + 0.111855i
\(579\) −8.02039 + 11.4515i −0.333316 + 0.475908i
\(580\) −1.42509 + 2.39094i −0.0591737 + 0.0992782i
\(581\) 3.95106 + 13.0249i 0.163918 + 0.540364i
\(582\) −5.95237 + 19.8972i −0.246733 + 0.824765i
\(583\) 4.85654 + 0.966027i 0.201137 + 0.0400087i
\(584\) 7.15250 + 18.3404i 0.295973 + 0.758932i
\(585\) −0.986136 2.71132i −0.0407717 0.112099i
\(586\) 23.7900 16.7986i 0.982758 0.693945i
\(587\) −0.622728 0.0613333i −0.0257027 0.00253150i 0.0851576 0.996367i \(-0.472861\pi\)
−0.110860 + 0.993836i \(0.535361\pi\)
\(588\) 5.42787 14.2866i 0.223841 0.589168i
\(589\) 0.0591653 0.195042i 0.00243787 0.00803656i
\(590\) −0.839152 + 0.104547i −0.0345474 + 0.00430414i
\(591\) −13.4299 + 41.0123i −0.552433 + 1.68702i
\(592\) −5.48324 + 5.53744i −0.225360 + 0.227587i
\(593\) 1.98191 + 4.78476i 0.0813873 + 0.196486i 0.959335 0.282270i \(-0.0910876\pi\)
−0.877948 + 0.478757i \(0.841088\pi\)
\(594\) 6.49731 + 7.03935i 0.266588 + 0.288828i
\(595\) −0.420992 0.787620i −0.0172590 0.0322893i
\(596\) −38.2291 9.47606i −1.56593 0.388155i
\(597\) −3.55519 3.71466i −0.145504 0.152031i
\(598\) −10.6867 + 2.41358i −0.437010 + 0.0986985i
\(599\) 27.7410 + 18.5360i 1.13347 + 0.757359i 0.973256 0.229723i \(-0.0737821\pi\)
0.160212 + 0.987083i \(0.448782\pi\)
\(600\) 3.72567 + 24.0705i 0.152100 + 0.982675i
\(601\) 6.30017 + 9.42887i 0.256989 + 0.384612i 0.937420 0.348201i \(-0.113207\pi\)
−0.680431 + 0.732812i \(0.738207\pi\)
\(602\) 13.7180 0.353635i 0.559105 0.0144131i
\(603\) 12.2037 34.6771i 0.496972 1.41216i
\(604\) 1.36307 + 26.4203i 0.0554627 + 1.07503i
\(605\) −1.55199 + 0.152857i −0.0630973 + 0.00621454i
\(606\) −0.0736638 19.1745i −0.00299239 0.778912i
\(607\) −12.3933 12.3933i −0.503028 0.503028i 0.409350 0.912378i \(-0.365756\pi\)
−0.912378 + 0.409350i \(0.865756\pi\)
\(608\) −0.866199 + 3.20659i −0.0351290 + 0.130045i
\(609\) −17.5520 15.0607i −0.711245 0.610291i
\(610\) −2.13363 + 1.84506i −0.0863880 + 0.0747042i
\(611\) −52.6916 + 5.18967i −2.13167 + 0.209952i
\(612\) −3.72546 + 19.5115i −0.150593 + 0.788705i
\(613\) −3.89482 + 7.28670i −0.157310 + 0.294307i −0.948213 0.317635i \(-0.897111\pi\)
0.790903 + 0.611942i \(0.209611\pi\)
\(614\) −14.4961 13.7675i −0.585013 0.555609i
\(615\) −1.30382 + 1.02300i −0.0525749 + 0.0412513i
\(616\) 0.704405 5.88989i 0.0283813 0.237311i
\(617\) −15.2981 10.2218i −0.615876 0.411515i 0.208126 0.978102i \(-0.433264\pi\)
−0.824002 + 0.566587i \(0.808264\pi\)
\(618\) −8.01829 + 15.1408i −0.322543 + 0.609052i
\(619\) −34.5896 + 28.3869i −1.39027 + 1.14097i −0.417641 + 0.908612i \(0.637143\pi\)
−0.972631 + 0.232354i \(0.925357\pi\)
\(620\) −0.115106 + 0.0173637i −0.00462277 + 0.000697344i
\(621\) 4.62583 + 5.27842i 0.185628 + 0.211816i
\(622\) 2.64504 + 0.728482i 0.106057 + 0.0292095i
\(623\) −5.70206 13.7660i −0.228448 0.551523i
\(624\) 36.9648 14.5796i 1.47978 0.583651i
\(625\) 9.40600 22.7081i 0.376240 0.908324i
\(626\) −17.8889 + 22.9807i −0.714983 + 0.918492i
\(627\) 0.287099 1.29432i 0.0114656 0.0516901i
\(628\) −9.37355 10.2912i −0.374045 0.410662i
\(629\) 6.41885 + 0.632201i 0.255936 + 0.0252075i
\(630\) 1.14429 + 0.0207021i 0.0455898 + 0.000824793i
\(631\) 42.4090 8.43568i 1.68828 0.335819i 0.744807 0.667280i \(-0.232542\pi\)
0.943469 + 0.331461i \(0.107542\pi\)
\(632\) 32.1529 + 7.09571i 1.27897 + 0.282252i
\(633\) 5.20279 43.1098i 0.206792 1.71346i
\(634\) 11.3660 + 25.5563i 0.451400 + 1.01497i
\(635\) 0.414444 + 1.36624i 0.0164467 + 0.0542175i
\(636\) −13.1273 0.901419i −0.520531 0.0357436i
\(637\) 19.5599 + 16.0524i 0.774990 + 0.636018i
\(638\) 13.6763 + 6.86299i 0.541449 + 0.271709i
\(639\) 16.0655 2.46894i 0.635541 0.0976697i
\(640\) 1.86626 0.340396i 0.0737703 0.0134553i
\(641\) 25.0705i 0.990227i 0.868828 + 0.495113i \(0.164873\pi\)
−0.868828 + 0.495113i \(0.835127\pi\)
\(642\) 13.6404 33.2921i 0.538345 1.31393i
\(643\) −3.15951 + 3.84987i −0.124599 + 0.151824i −0.831573 0.555415i \(-0.812560\pi\)
0.706975 + 0.707239i \(0.250060\pi\)
\(644\) 0.627125 4.30056i 0.0247122 0.169466i
\(645\) −0.634690 1.63266i −0.0249909 0.0642858i
\(646\) 2.51189 1.11714i 0.0988291 0.0439534i
\(647\) 16.7679 + 3.33535i 0.659216 + 0.131126i 0.513351 0.858178i \(-0.328404\pi\)
0.145864 + 0.989305i \(0.453404\pi\)
\(648\) −19.5085 16.3529i −0.766367 0.642403i
\(649\) 0.906944 + 4.55951i 0.0356006 + 0.178977i
\(650\) −39.7422 6.84560i −1.55882 0.268507i
\(651\) 0.0212115 0.967021i 0.000831345 0.0379005i
\(652\) −26.8141 29.4390i −1.05012 1.15292i
\(653\) −2.12488 + 7.00478i −0.0831529 + 0.274118i −0.988651 0.150233i \(-0.951998\pi\)
0.905498 + 0.424351i \(0.139498\pi\)
\(654\) −8.76619 + 13.2293i −0.342785 + 0.517305i
\(655\) −2.04854 0.848533i −0.0800431 0.0331549i
\(656\) −14.5667 17.5726i −0.568733 0.686095i
\(657\) 10.8278 + 17.8530i 0.422434 + 0.696510i
\(658\) 5.57695 20.2493i 0.217412 0.789401i
\(659\) −13.2514 24.7915i −0.516200 0.965741i −0.996084 0.0884098i \(-0.971821\pi\)
0.479885 0.877332i \(-0.340679\pi\)
\(660\) −0.737952 + 0.169648i −0.0287247 + 0.00660355i
\(661\) 4.14250 + 5.04764i 0.161124 + 0.196331i 0.847314 0.531092i \(-0.178218\pi\)
−0.686190 + 0.727422i \(0.740718\pi\)
\(662\) 7.84529 12.4228i 0.304916 0.482827i
\(663\) −28.6578 16.1357i −1.11298 0.626660i
\(664\) 14.7917 + 18.8104i 0.574030 + 0.729985i
\(665\) −0.0879983 0.131699i −0.00341243 0.00510706i
\(666\) −4.71569 + 6.78842i −0.182729 + 0.263046i
\(667\) 9.88716 + 5.28480i 0.382833 + 0.204628i
\(668\) 0.619814 1.74579i 0.0239813 0.0675465i
\(669\) 4.77928 + 27.1228i 0.184777 + 1.04863i
\(670\) 1.90069 + 2.19796i 0.0734299 + 0.0849144i
\(671\) 10.9650 + 10.9650i 0.423298 + 0.423298i
\(672\) 0.138073 + 15.7622i 0.00532626 + 0.608042i
\(673\) −22.7009 + 22.7009i −0.875056 + 0.875056i −0.993018 0.117962i \(-0.962364\pi\)
0.117962 + 0.993018i \(0.462364\pi\)
\(674\) −2.58566 0.187534i −0.0995958 0.00722353i
\(675\) 8.29586 + 24.4665i 0.319308 + 0.941715i
\(676\) 2.05011 + 39.7371i 0.0788506 + 1.52835i
\(677\) −11.2297 + 21.0092i −0.431591 + 0.807450i −0.999882 0.0153776i \(-0.995105\pi\)
0.568291 + 0.822828i \(0.307605\pi\)
\(678\) −1.24647 12.1759i −0.0478705 0.467613i
\(679\) 11.3416 7.57821i 0.435250 0.290825i
\(680\) −1.19268 1.02117i −0.0457373 0.0391600i
\(681\) 19.5847 + 11.0271i 0.750487 + 0.422560i
\(682\) 0.140980 + 0.624223i 0.00539842 + 0.0239027i
\(683\) −34.4049 + 28.2353i −1.31647 + 1.08040i −0.325605 + 0.945506i \(0.605568\pi\)
−0.990861 + 0.134889i \(0.956932\pi\)
\(684\) −0.318367 + 3.50860i −0.0121731 + 0.134155i
\(685\) 1.23716 0.661277i 0.0472695 0.0252661i
\(686\) −22.5750 + 12.8253i −0.861918 + 0.489671i
\(687\) 9.48274 4.80430i 0.361789 0.183295i
\(688\) 22.2437 9.34205i 0.848032 0.356162i
\(689\) 8.33701 20.1273i 0.317615 0.766790i
\(690\) −0.543692 + 0.110320i −0.0206980 + 0.00419982i
\(691\) −31.9332 9.68682i −1.21479 0.368504i −0.383084 0.923714i \(-0.625138\pi\)
−0.831710 + 0.555210i \(0.812638\pi\)
\(692\) 19.3826 41.2431i 0.736816 1.56783i
\(693\) −0.341546 6.28242i −0.0129743 0.238649i
\(694\) −23.2171 32.8798i −0.881309 1.24810i
\(695\) −3.10665 + 0.617950i −0.117842 + 0.0234402i
\(696\) −38.3700 13.4569i −1.45441 0.510083i
\(697\) −3.68556 + 18.5285i −0.139600 + 0.701819i
\(698\) 7.26496 18.9029i 0.274983 0.715484i
\(699\) −15.9025 40.9072i −0.601489 1.54725i
\(700\) 8.19056 13.7416i 0.309574 0.519385i
\(701\) 32.3449 + 26.5448i 1.22165 + 1.00258i 0.999621 + 0.0275424i \(0.00876812\pi\)
0.222029 + 0.975040i \(0.428732\pi\)
\(702\) 35.9523 21.9945i 1.35693 0.830129i
\(703\) 1.14394 0.0431443
\(704\) −2.60856 10.0974i −0.0983139 0.380559i
\(705\) −2.67327 + 0.204215i −0.100681 + 0.00769119i
\(706\) −16.7389 + 5.55263i −0.629978 + 0.208976i
\(707\) −7.98932 + 9.73501i −0.300469 + 0.366123i
\(708\) −3.93448 11.7101i −0.147867 0.440094i
\(709\) −10.8271 + 3.28437i −0.406621 + 0.123347i −0.486968 0.873420i \(-0.661897\pi\)
0.0803470 + 0.996767i \(0.474397\pi\)
\(710\) −0.460913 + 1.19926i −0.0172977 + 0.0450074i
\(711\) 34.8903 + 1.53137i 1.30849 + 0.0574308i
\(712\) −18.1332 18.9058i −0.679570 0.708523i
\(713\) 0.0914706 + 0.459854i 0.00342560 + 0.0172217i
\(714\) 10.0531 8.31521i 0.376228 0.311189i
\(715\) 0.122882 1.24764i 0.00459552 0.0466591i
\(716\) 2.76837 0.998222i 0.103459 0.0373053i
\(717\) −3.80839 + 17.1692i −0.142227 + 0.641196i
\(718\) 20.6441 2.57197i 0.770430 0.0959852i
\(719\) −23.3601 9.67607i −0.871184 0.360856i −0.0981129 0.995175i \(-0.531281\pi\)
−0.773071 + 0.634319i \(0.781281\pi\)
\(720\) 1.88753 0.697043i 0.0703441 0.0259773i
\(721\) 10.3961 4.30620i 0.387170 0.160371i
\(722\) −22.9391 + 13.0321i −0.853703 + 0.485004i
\(723\) −14.7169 + 9.37333i −0.547328 + 0.348598i
\(724\) −15.9594 26.4788i −0.593128 0.984079i
\(725\) 26.1792 + 31.8994i 0.972270 + 1.18471i
\(726\) −6.69689 21.7752i −0.248545 0.808153i
\(727\) −12.5061 + 18.7167i −0.463826 + 0.694164i −0.987476 0.157769i \(-0.949570\pi\)
0.523650 + 0.851933i \(0.324570\pi\)
\(728\) −24.8109 8.09504i −0.919553 0.300022i
\(729\) −23.3734 13.5161i −0.865681 0.500596i
\(730\) −1.64988 + 0.0425319i −0.0610646 + 0.00157417i
\(731\) −17.6103 9.41290i −0.651340 0.348149i
\(732\) −32.6132 25.1865i −1.20542 0.930920i
\(733\) 3.83100 + 38.8968i 0.141501 + 1.43669i 0.759500 + 0.650507i \(0.225444\pi\)
−0.617999 + 0.786179i \(0.712056\pi\)
\(734\) 52.3445 + 3.79646i 1.93207 + 0.140130i
\(735\) 0.972392 + 0.834371i 0.0358672 + 0.0307762i
\(736\) −1.71991 7.44474i −0.0633968 0.274417i
\(737\) 11.2956 11.2956i 0.416078 0.416078i
\(738\) −18.4335 15.6945i −0.678545 0.577721i
\(739\) 3.43441 + 34.8701i 0.126337 + 1.28272i 0.824123 + 0.566411i \(0.191669\pi\)
−0.697786 + 0.716306i \(0.745831\pi\)
\(740\) −0.280792 0.589928i −0.0103221 0.0216862i
\(741\) −5.33869 2.34981i −0.196122 0.0863226i
\(742\) 6.26635 + 5.95139i 0.230045 + 0.218482i
\(743\) 21.3736 14.2814i 0.784120 0.523932i −0.0978709 0.995199i \(-0.531203\pi\)
0.881991 + 0.471267i \(0.156203\pi\)
\(744\) −0.582970 1.59749i −0.0213727 0.0585668i
\(745\) 1.83453 2.74557i 0.0672120 0.100590i
\(746\) −19.1121 + 30.2636i −0.699744 + 1.10803i
\(747\) 18.8950 + 16.9465i 0.691332 + 0.620039i
\(748\) −5.12478 + 6.94560i −0.187381 + 0.253956i
\(749\) −20.8397 + 11.1391i −0.761466 + 0.407012i
\(750\) −4.02002 0.783590i −0.146791 0.0286127i
\(751\) 5.34180 2.21265i 0.194925 0.0807406i −0.283086 0.959095i \(-0.591358\pi\)
0.478011 + 0.878354i \(0.341358\pi\)
\(752\) −3.80006 36.7300i −0.138574 1.33941i
\(753\) 7.17659 21.9159i 0.261529 0.798659i
\(754\) 41.3533 53.1238i 1.50600 1.93466i
\(755\) −2.12248 0.643846i −0.0772448 0.0234320i
\(756\) 3.02776 + 16.4426i 0.110119 + 0.598011i
\(757\) 1.39540 14.1677i 0.0507165 0.514933i −0.935945 0.352147i \(-0.885452\pi\)
0.986661 0.162787i \(-0.0520482\pi\)
\(758\) −15.7792 2.71798i −0.573127 0.0987213i
\(759\) 0.821100 + 2.93720i 0.0298040 + 0.106614i
\(760\) −0.228264 0.159505i −0.00828001 0.00578587i
\(761\) −8.59984 + 43.2343i −0.311744 + 1.56724i 0.433940 + 0.900942i \(0.357123\pi\)
−0.745684 + 0.666300i \(0.767877\pi\)
\(762\) −18.3560 + 9.90234i −0.664967 + 0.358724i
\(763\) 9.97442 3.02571i 0.361098 0.109538i
\(764\) −22.1157 + 16.4866i −0.800118 + 0.596463i
\(765\) −1.43288 0.848694i −0.0518060 0.0306846i
\(766\) 13.3033 + 6.67584i 0.480668 + 0.241208i
\(767\) 20.4532 0.738523
\(768\) 10.2948 + 25.7297i 0.371481 + 0.928441i
\(769\) 52.1417 1.88028 0.940138 0.340793i \(-0.110696\pi\)
0.940138 + 0.340793i \(0.110696\pi\)
\(770\) 0.444492 + 0.223054i 0.0160184 + 0.00803830i
\(771\) 10.4034 14.8540i 0.374671 0.534955i
\(772\) 12.9430 9.64863i 0.465830 0.347262i