Properties

Label 115.2.j.a.9.2
Level $115$
Weight $2$
Character 115.9
Analytic conductor $0.918$
Analytic rank $0$
Dimension $100$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 115 = 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 115.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.918279623245\)
Analytic rank: \(0\)
Dimension: \(100\)
Relative dimension: \(10\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.2
Character \(\chi\) \(=\) 115.9
Dual form 115.2.j.a.64.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.651256 - 2.21797i) q^{2} +(0.917405 - 0.794936i) q^{3} +(-2.81277 + 1.80765i) q^{4} +(1.79096 - 1.33883i) q^{5} +(-2.36061 - 1.51707i) q^{6} +(-1.70619 - 0.779189i) q^{7} +(2.34716 + 2.03383i) q^{8} +(-0.217236 + 1.51091i) q^{9} +O(q^{10})\) \(q+(-0.651256 - 2.21797i) q^{2} +(0.917405 - 0.794936i) q^{3} +(-2.81277 + 1.80765i) q^{4} +(1.79096 - 1.33883i) q^{5} +(-2.36061 - 1.51707i) q^{6} +(-1.70619 - 0.779189i) q^{7} +(2.34716 + 2.03383i) q^{8} +(-0.217236 + 1.51091i) q^{9} +(-4.13586 - 3.10038i) q^{10} +(2.86226 + 0.840435i) q^{11} +(-1.14348 + 3.89432i) q^{12} +(-1.22583 + 0.559818i) q^{13} +(-0.617057 + 4.29173i) q^{14} +(0.578749 - 2.65195i) q^{15} +(0.204462 - 0.447708i) q^{16} +(-1.91813 + 2.98466i) q^{17} +(3.49263 - 0.502165i) q^{18} +(2.14666 - 1.37958i) q^{19} +(-2.61740 + 7.00325i) q^{20} +(-2.18467 + 0.641476i) q^{21} -6.89575i q^{22} +(4.31364 - 2.09582i) q^{23} +3.77006 q^{24} +(1.41506 - 4.79558i) q^{25} +(2.03999 + 2.35427i) q^{26} +(2.97063 + 4.62240i) q^{27} +(6.20761 - 0.892519i) q^{28} +(-3.30718 - 2.12540i) q^{29} +(-6.25886 + 0.443445i) q^{30} +(5.50738 - 6.35585i) q^{31} +(5.02210 + 0.722069i) q^{32} +(3.29394 - 1.50429i) q^{33} +(7.86909 + 2.31057i) q^{34} +(-4.09891 + 0.888799i) q^{35} +(-2.12017 - 4.64252i) q^{36} +(-3.81551 - 0.548587i) q^{37} +(-4.45789 - 3.86278i) q^{38} +(-0.679563 + 1.48803i) q^{39} +(6.92663 + 0.500048i) q^{40} +(1.67437 + 11.6455i) q^{41} +(2.84556 + 4.42777i) q^{42} +(-9.31512 + 8.07159i) q^{43} +(-9.57008 + 2.81003i) q^{44} +(1.63379 + 2.99682i) q^{45} +(-7.45777 - 8.20263i) q^{46} +2.86157i q^{47} +(-0.168325 - 0.573263i) q^{48} +(-2.28009 - 2.63136i) q^{49} +(-11.5580 - 0.0154263i) q^{50} +(0.612917 + 4.26293i) q^{51} +(2.43601 - 3.79051i) q^{52} +(5.05648 + 2.30922i) q^{53} +(8.31771 - 9.59915i) q^{54} +(6.25139 - 2.32690i) q^{55} +(-2.41996 - 5.29898i) q^{56} +(0.872683 - 2.97209i) q^{57} +(-2.56025 + 8.71943i) q^{58} +(-4.80538 - 10.5223i) q^{59} +(3.16592 + 8.50548i) q^{60} +(-9.54961 + 11.0208i) q^{61} +(-17.6838 - 8.07593i) q^{62} +(1.54793 - 2.40862i) q^{63} +(-1.80923 - 12.5835i) q^{64} +(-1.44591 + 2.64379i) q^{65} +(-5.48168 - 6.32620i) q^{66} +(0.124250 + 0.423155i) q^{67} -11.8625i q^{68} +(2.29131 - 5.35179i) q^{69} +(4.64077 + 8.51244i) q^{70} +(-2.31436 + 0.679556i) q^{71} +(-3.58282 + 3.10453i) q^{72} +(-1.86785 - 2.90643i) q^{73} +(1.26812 + 8.81997i) q^{74} +(-2.51399 - 5.52437i) q^{75} +(-3.54426 + 7.76085i) q^{76} +(-4.22869 - 3.66418i) q^{77} +(3.74299 + 0.538161i) q^{78} +(1.76980 + 3.87531i) q^{79} +(-0.233223 - 1.07557i) q^{80} +(2.00594 + 0.588996i) q^{81} +(24.7389 - 11.2979i) q^{82} +(2.10331 + 0.302411i) q^{83} +(4.98539 - 5.75345i) q^{84} +(0.560673 + 7.91345i) q^{85} +(23.9691 + 15.4040i) q^{86} +(-4.72358 + 0.679148i) q^{87} +(5.00889 + 7.79399i) q^{88} +(5.83391 + 6.73270i) q^{89} +(5.58285 - 5.57540i) q^{90} +2.52770 q^{91} +(-8.34474 + 13.6926i) q^{92} -10.2089i q^{93} +(6.34689 - 1.86362i) q^{94} +(1.99756 - 5.34478i) q^{95} +(5.18130 - 3.32982i) q^{96} +(-10.3496 + 1.48805i) q^{97} +(-4.35138 + 6.77087i) q^{98} +(-1.89161 + 4.14204i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} + O(q^{10}) \) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} - 13q^{10} - 26q^{11} - 26q^{14} - 10q^{15} - 18q^{16} - 14q^{19} + 49q^{20} - 22q^{21} - 68q^{24} + 21q^{25} - 42q^{26} - 24q^{29} + 19q^{30} - 12q^{31} + 8q^{34} - 37q^{35} - 10q^{36} + 14q^{39} - q^{40} + 8q^{41} + 166q^{44} - 42q^{45} - 18q^{46} + 32q^{49} - 23q^{50} - 22q^{51} + 116q^{54} + 27q^{55} - 116q^{56} + 50q^{59} + 123q^{60} - 38q^{61} + 10q^{64} + 76q^{65} - 28q^{66} + 80q^{69} + 102q^{70} - 110q^{71} + 22q^{74} + 6q^{75} + 4q^{76} + 42q^{79} + 18q^{80} + 204q^{81} + 56q^{84} - 121q^{85} + 132q^{86} - 66q^{89} - 198q^{90} + 76q^{91} - 70q^{94} - 74q^{95} + 236q^{96} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.651256 2.21797i −0.460507 1.56834i −0.783156 0.621825i \(-0.786391\pi\)
0.322649 0.946519i \(-0.395427\pi\)
\(3\) 0.917405 0.794936i 0.529664 0.458956i −0.348505 0.937307i \(-0.613311\pi\)
0.878169 + 0.478351i \(0.158765\pi\)
\(4\) −2.81277 + 1.80765i −1.40638 + 0.903827i
\(5\) 1.79096 1.33883i 0.800941 0.598743i
\(6\) −2.36061 1.51707i −0.963715 0.619342i
\(7\) −1.70619 0.779189i −0.644878 0.294506i 0.0660019 0.997819i \(-0.478976\pi\)
−0.710880 + 0.703314i \(0.751703\pi\)
\(8\) 2.34716 + 2.03383i 0.829848 + 0.719067i
\(9\) −0.217236 + 1.51091i −0.0724120 + 0.503636i
\(10\) −4.13586 3.10038i −1.30787 0.980425i
\(11\) 2.86226 + 0.840435i 0.863004 + 0.253401i 0.683137 0.730290i \(-0.260615\pi\)
0.179867 + 0.983691i \(0.442433\pi\)
\(12\) −1.14348 + 3.89432i −0.330093 + 1.12419i
\(13\) −1.22583 + 0.559818i −0.339984 + 0.155265i −0.578089 0.815974i \(-0.696201\pi\)
0.238105 + 0.971240i \(0.423474\pi\)
\(14\) −0.617057 + 4.29173i −0.164915 + 1.14701i
\(15\) 0.578749 2.65195i 0.149432 0.684729i
\(16\) 0.204462 0.447708i 0.0511154 0.111927i
\(17\) −1.91813 + 2.98466i −0.465214 + 0.723887i −0.992018 0.126100i \(-0.959754\pi\)
0.526804 + 0.849987i \(0.323390\pi\)
\(18\) 3.49263 0.502165i 0.823222 0.118361i
\(19\) 2.14666 1.37958i 0.492478 0.316496i −0.270723 0.962657i \(-0.587263\pi\)
0.763201 + 0.646161i \(0.223626\pi\)
\(20\) −2.61740 + 7.00325i −0.585269 + 1.56597i
\(21\) −2.18467 + 0.641476i −0.476734 + 0.139982i
\(22\) 6.89575i 1.47018i
\(23\) 4.31364 2.09582i 0.899457 0.437010i
\(24\) 3.77006 0.769561
\(25\) 1.41506 4.79558i 0.283013 0.959116i
\(26\) 2.03999 + 2.35427i 0.400075 + 0.461711i
\(27\) 2.97063 + 4.62240i 0.571699 + 0.889581i
\(28\) 6.20761 0.892519i 1.17313 0.168670i
\(29\) −3.30718 2.12540i −0.614129 0.394677i 0.196275 0.980549i \(-0.437116\pi\)
−0.810403 + 0.585872i \(0.800752\pi\)
\(30\) −6.25886 + 0.443445i −1.14271 + 0.0809615i
\(31\) 5.50738 6.35585i 0.989154 1.14155i −0.000777292 1.00000i \(-0.500247\pi\)
0.989932 0.141545i \(-0.0452071\pi\)
\(32\) 5.02210 + 0.722069i 0.887791 + 0.127645i
\(33\) 3.29394 1.50429i 0.573402 0.261864i
\(34\) 7.86909 + 2.31057i 1.34954 + 0.396260i
\(35\) −4.09891 + 0.888799i −0.692842 + 0.150234i
\(36\) −2.12017 4.64252i −0.353361 0.773754i
\(37\) −3.81551 0.548587i −0.627266 0.0901872i −0.178651 0.983912i \(-0.557173\pi\)
−0.448615 + 0.893725i \(0.648082\pi\)
\(38\) −4.45789 3.86278i −0.723165 0.626626i
\(39\) −0.679563 + 1.48803i −0.108817 + 0.238276i
\(40\) 6.92663 + 0.500048i 1.09520 + 0.0790646i
\(41\) 1.67437 + 11.6455i 0.261492 + 1.81872i 0.521659 + 0.853154i \(0.325313\pi\)
−0.260167 + 0.965564i \(0.583777\pi\)
\(42\) 2.84556 + 4.42777i 0.439079 + 0.683220i
\(43\) −9.31512 + 8.07159i −1.42054 + 1.23091i −0.486531 + 0.873664i \(0.661738\pi\)
−0.934011 + 0.357243i \(0.883717\pi\)
\(44\) −9.57008 + 2.81003i −1.44274 + 0.423628i
\(45\) 1.63379 + 2.99682i 0.243551 + 0.446739i
\(46\) −7.45777 8.20263i −1.09959 1.20941i
\(47\) 2.86157i 0.417403i 0.977979 + 0.208702i \(0.0669238\pi\)
−0.977979 + 0.208702i \(0.933076\pi\)
\(48\) −0.168325 0.573263i −0.0242957 0.0827434i
\(49\) −2.28009 2.63136i −0.325727 0.375909i
\(50\) −11.5580 0.0154263i −1.63455 0.00218161i
\(51\) 0.612917 + 4.26293i 0.0858255 + 0.596929i
\(52\) 2.43601 3.79051i 0.337814 0.525650i
\(53\) 5.05648 + 2.30922i 0.694562 + 0.317196i 0.731229 0.682132i \(-0.238947\pi\)
−0.0366676 + 0.999328i \(0.511674\pi\)
\(54\) 8.31771 9.59915i 1.13190 1.30628i
\(55\) 6.25139 2.32690i 0.842937 0.313759i
\(56\) −2.41996 5.29898i −0.323381 0.708105i
\(57\) 0.872683 2.97209i 0.115590 0.393662i
\(58\) −2.56025 + 8.71943i −0.336178 + 1.14492i
\(59\) −4.80538 10.5223i −0.625607 1.36989i −0.911370 0.411588i \(-0.864974\pi\)
0.285763 0.958300i \(-0.407753\pi\)
\(60\) 3.16592 + 8.50548i 0.408718 + 1.09805i
\(61\) −9.54961 + 11.0208i −1.22270 + 1.41107i −0.340472 + 0.940255i \(0.610587\pi\)
−0.882230 + 0.470818i \(0.843959\pi\)
\(62\) −17.6838 8.07593i −2.24585 1.02564i
\(63\) 1.54793 2.40862i 0.195021 0.303458i
\(64\) −1.80923 12.5835i −0.226154 1.57294i
\(65\) −1.44591 + 2.64379i −0.179343 + 0.327922i
\(66\) −5.48168 6.32620i −0.674748 0.778701i
\(67\) 0.124250 + 0.423155i 0.0151795 + 0.0516966i 0.966734 0.255782i \(-0.0823329\pi\)
−0.951555 + 0.307479i \(0.900515\pi\)
\(68\) 11.8625i 1.43854i
\(69\) 2.29131 5.35179i 0.275841 0.644279i
\(70\) 4.64077 + 8.51244i 0.554678 + 1.01743i
\(71\) −2.31436 + 0.679556i −0.274664 + 0.0806485i −0.416164 0.909290i \(-0.636626\pi\)
0.141500 + 0.989938i \(0.454807\pi\)
\(72\) −3.58282 + 3.10453i −0.422240 + 0.365873i
\(73\) −1.86785 2.90643i −0.218615 0.340172i 0.714572 0.699562i \(-0.246621\pi\)
−0.933188 + 0.359389i \(0.882985\pi\)
\(74\) 1.26812 + 8.81997i 0.147416 + 1.02530i
\(75\) −2.51399 5.52437i −0.290291 0.637900i
\(76\) −3.54426 + 7.76085i −0.406554 + 0.890230i
\(77\) −4.22869 3.66418i −0.481904 0.417572i
\(78\) 3.74299 + 0.538161i 0.423810 + 0.0609347i
\(79\) 1.76980 + 3.87531i 0.199118 + 0.436007i 0.982681 0.185305i \(-0.0593273\pi\)
−0.783563 + 0.621312i \(0.786600\pi\)
\(80\) −0.233223 1.07557i −0.0260752 0.120252i
\(81\) 2.00594 + 0.588996i 0.222882 + 0.0654440i
\(82\) 24.7389 11.2979i 2.73196 1.24764i
\(83\) 2.10331 + 0.302411i 0.230869 + 0.0331939i 0.256778 0.966470i \(-0.417339\pi\)
−0.0259095 + 0.999664i \(0.508248\pi\)
\(84\) 4.98539 5.75345i 0.543951 0.627753i
\(85\) 0.560673 + 7.91345i 0.0608136 + 0.858334i
\(86\) 23.9691 + 15.4040i 2.58466 + 1.66106i
\(87\) −4.72358 + 0.679148i −0.506421 + 0.0728123i
\(88\) 5.00889 + 7.79399i 0.533950 + 0.830842i
\(89\) 5.83391 + 6.73270i 0.618394 + 0.713664i 0.975401 0.220437i \(-0.0707484\pi\)
−0.357008 + 0.934102i \(0.616203\pi\)
\(90\) 5.58285 5.57540i 0.588484 0.587699i
\(91\) 2.52770 0.264975
\(92\) −8.34474 + 13.6926i −0.870000 + 1.42756i
\(93\) 10.2089i 1.05861i
\(94\) 6.34689 1.86362i 0.654632 0.192217i
\(95\) 1.99756 5.34478i 0.204946 0.548363i
\(96\) 5.18130 3.32982i 0.528814 0.339848i
\(97\) −10.3496 + 1.48805i −1.05084 + 0.151089i −0.646031 0.763311i \(-0.723572\pi\)
−0.404813 + 0.914400i \(0.632663\pi\)
\(98\) −4.35138 + 6.77087i −0.439555 + 0.683961i
\(99\) −1.89161 + 4.14204i −0.190114 + 0.416291i
\(100\) 4.68851 + 16.0468i 0.468851 + 1.60468i
\(101\) 0.716013 4.97998i 0.0712459 0.495526i −0.922688 0.385548i \(-0.874013\pi\)
0.993934 0.109979i \(-0.0350783\pi\)
\(102\) 9.05590 4.13569i 0.896668 0.409494i
\(103\) −0.319309 + 1.08747i −0.0314625 + 0.107151i −0.973727 0.227717i \(-0.926874\pi\)
0.942265 + 0.334869i \(0.108692\pi\)
\(104\) −4.01580 1.17914i −0.393781 0.115625i
\(105\) −3.05382 + 4.07376i −0.298022 + 0.397558i
\(106\) 1.82872 12.7190i 0.177621 1.23538i
\(107\) 0.765085 + 0.662950i 0.0739635 + 0.0640898i 0.691058 0.722799i \(-0.257145\pi\)
−0.617094 + 0.786889i \(0.711690\pi\)
\(108\) −16.7114 7.63184i −1.60806 0.734374i
\(109\) −8.52036 5.47570i −0.816102 0.524477i 0.0647317 0.997903i \(-0.479381\pi\)
−0.880834 + 0.473426i \(0.843017\pi\)
\(110\) −9.23225 12.3500i −0.880260 1.17753i
\(111\) −3.93646 + 2.52981i −0.373632 + 0.240119i
\(112\) −0.697699 + 0.604559i −0.0659263 + 0.0571255i
\(113\) −3.13031 10.6608i −0.294474 1.00289i −0.965272 0.261247i \(-0.915866\pi\)
0.670798 0.741641i \(-0.265952\pi\)
\(114\) −7.16035 −0.670628
\(115\) 4.91960 9.52877i 0.458755 0.888563i
\(116\) 13.1443 1.22042
\(117\) −0.579539 1.97373i −0.0535784 0.182471i
\(118\) −20.2087 + 17.5109i −1.86036 + 1.61201i
\(119\) 5.59829 3.59781i 0.513195 0.329810i
\(120\) 6.75203 5.04748i 0.616373 0.460769i
\(121\) −1.76759 1.13596i −0.160690 0.103269i
\(122\) 30.6632 + 14.0034i 2.77611 + 1.26781i
\(123\) 10.7935 + 9.35260i 0.973215 + 0.843296i
\(124\) −4.00178 + 27.8330i −0.359370 + 2.49947i
\(125\) −3.88615 10.4832i −0.347588 0.937647i
\(126\) −6.35036 1.86463i −0.565735 0.166115i
\(127\) 3.16290 10.7718i 0.280662 0.955846i −0.691665 0.722219i \(-0.743122\pi\)
0.972326 0.233627i \(-0.0750595\pi\)
\(128\) −17.5011 + 7.99249i −1.54689 + 0.706443i
\(129\) −2.12933 + 14.8098i −0.187477 + 1.30393i
\(130\) 6.80551 + 1.48521i 0.596883 + 0.130261i
\(131\) 5.38793 11.7979i 0.470745 1.03079i −0.514160 0.857694i \(-0.671896\pi\)
0.984905 0.173094i \(-0.0553766\pi\)
\(132\) −6.54584 + 10.1855i −0.569743 + 0.886537i
\(133\) −4.73755 + 0.681157i −0.410798 + 0.0590638i
\(134\) 0.857629 0.551165i 0.0740879 0.0476134i
\(135\) 11.5089 + 4.30134i 0.990528 + 0.370201i
\(136\) −10.5725 + 3.10435i −0.906580 + 0.266196i
\(137\) 9.36107i 0.799771i 0.916565 + 0.399885i \(0.130950\pi\)
−0.916565 + 0.399885i \(0.869050\pi\)
\(138\) −13.3624 1.59668i −1.13748 0.135919i
\(139\) −5.82865 −0.494380 −0.247190 0.968967i \(-0.579507\pi\)
−0.247190 + 0.968967i \(0.579507\pi\)
\(140\) 9.92263 9.90940i 0.838616 0.837497i
\(141\) 2.27477 + 2.62522i 0.191570 + 0.221083i
\(142\) 3.01448 + 4.69062i 0.252969 + 0.393628i
\(143\) −3.97913 + 0.572113i −0.332752 + 0.0478425i
\(144\) 0.632030 + 0.406181i 0.0526692 + 0.0338484i
\(145\) −8.76858 + 0.621260i −0.728191 + 0.0515928i
\(146\) −5.22994 + 6.03568i −0.432833 + 0.499516i
\(147\) −4.18353 0.601501i −0.345052 0.0496110i
\(148\) 11.7238 5.35408i 0.963690 0.440102i
\(149\) 11.5134 + 3.38064i 0.943214 + 0.276953i 0.716959 0.697115i \(-0.245534\pi\)
0.226255 + 0.974068i \(0.427352\pi\)
\(150\) −10.6157 + 9.17374i −0.866765 + 0.749033i
\(151\) 1.76691 + 3.86900i 0.143789 + 0.314855i 0.967800 0.251719i \(-0.0809959\pi\)
−0.824011 + 0.566574i \(0.808269\pi\)
\(152\) 7.84439 + 1.12785i 0.636264 + 0.0914809i
\(153\) −4.09287 3.54649i −0.330889 0.286717i
\(154\) −5.37310 + 11.7654i −0.432976 + 0.948086i
\(155\) 1.35407 18.7565i 0.108762 1.50656i
\(156\) −0.778402 5.41391i −0.0623221 0.433460i
\(157\) 11.4796 + 17.8627i 0.916175 + 1.42560i 0.904883 + 0.425661i \(0.139958\pi\)
0.0112926 + 0.999936i \(0.496405\pi\)
\(158\) 7.44275 6.44918i 0.592113 0.513069i
\(159\) 6.47452 1.90109i 0.513463 0.150766i
\(160\) 9.96110 5.43055i 0.787494 0.429323i
\(161\) −8.99292 + 0.214722i −0.708741 + 0.0169225i
\(162\) 4.83270i 0.379693i
\(163\) −2.60760 8.88067i −0.204243 0.695587i −0.996362 0.0852210i \(-0.972840\pi\)
0.792119 0.610366i \(-0.208978\pi\)
\(164\) −25.7606 29.7293i −2.01157 2.32147i
\(165\) 3.88532 7.10416i 0.302472 0.553058i
\(166\) −0.699056 4.86204i −0.0542572 0.377367i
\(167\) 5.43755 8.46100i 0.420771 0.654732i −0.564559 0.825393i \(-0.690954\pi\)
0.985330 + 0.170661i \(0.0545902\pi\)
\(168\) −6.43243 2.93759i −0.496273 0.226640i
\(169\) −7.32393 + 8.45226i −0.563379 + 0.650174i
\(170\) 17.1867 6.39724i 1.31816 0.490646i
\(171\) 1.61808 + 3.54310i 0.123738 + 0.270948i
\(172\) 11.6106 39.5420i 0.885299 3.01505i
\(173\) 0.965186 3.28712i 0.0733818 0.249915i −0.914630 0.404291i \(-0.867518\pi\)
0.988012 + 0.154376i \(0.0493366\pi\)
\(174\) 4.58259 + 10.0345i 0.347405 + 0.760712i
\(175\) −6.15103 + 7.07955i −0.464974 + 0.535164i
\(176\) 0.961492 1.10962i 0.0724752 0.0836408i
\(177\) −12.7730 5.83325i −0.960080 0.438454i
\(178\) 11.1336 17.3242i 0.834496 1.29850i
\(179\) 2.16589 + 15.0641i 0.161886 + 1.12594i 0.895074 + 0.445917i \(0.147122\pi\)
−0.733188 + 0.680026i \(0.761969\pi\)
\(180\) −10.0127 5.47602i −0.746302 0.408158i
\(181\) −14.9291 17.2291i −1.10967 1.28063i −0.956276 0.292465i \(-0.905525\pi\)
−0.153396 0.988165i \(-0.549021\pi\)
\(182\) −1.64618 5.60636i −0.122023 0.415571i
\(183\) 17.7019i 1.30856i
\(184\) 14.3874 + 3.85397i 1.06065 + 0.284119i
\(185\) −7.56788 + 4.12582i −0.556402 + 0.303337i
\(186\) −22.6431 + 6.64861i −1.66027 + 0.487499i
\(187\) −7.99859 + 6.93082i −0.584915 + 0.506831i
\(188\) −5.17274 8.04894i −0.377261 0.587029i
\(189\) −1.46673 10.2014i −0.106689 0.742039i
\(190\) −13.1555 0.949725i −0.954400 0.0689003i
\(191\) 8.30108 18.1768i 0.600645 1.31523i −0.328146 0.944627i \(-0.606424\pi\)
0.928791 0.370603i \(-0.120849\pi\)
\(192\) −11.6629 10.1059i −0.841695 0.729333i
\(193\) 7.24875 + 1.04221i 0.521777 + 0.0750202i 0.398171 0.917311i \(-0.369645\pi\)
0.123606 + 0.992331i \(0.460554\pi\)
\(194\) 10.0407 + 21.9861i 0.720880 + 1.57851i
\(195\) 0.775158 + 3.57483i 0.0555102 + 0.255999i
\(196\) 11.1700 + 3.27980i 0.797854 + 0.234271i
\(197\) −1.07622 + 0.491494i −0.0766776 + 0.0350175i −0.453385 0.891315i \(-0.649784\pi\)
0.376707 + 0.926332i \(0.377056\pi\)
\(198\) 10.4189 + 1.49801i 0.740436 + 0.106459i
\(199\) −1.49676 + 1.72735i −0.106102 + 0.122449i −0.806317 0.591484i \(-0.798542\pi\)
0.700214 + 0.713933i \(0.253088\pi\)
\(200\) 13.0748 8.37802i 0.924527 0.592415i
\(201\) 0.450368 + 0.289434i 0.0317665 + 0.0204151i
\(202\) −11.5118 + 1.65514i −0.809965 + 0.116455i
\(203\) 3.98658 + 6.20325i 0.279803 + 0.435383i
\(204\) −9.42990 10.8827i −0.660225 0.761940i
\(205\) 18.5900 + 18.6149i 1.29839 + 1.30012i
\(206\) 2.61993 0.182539
\(207\) 2.22952 + 6.97281i 0.154962 + 0.484644i
\(208\) 0.663275i 0.0459899i
\(209\) 7.30374 2.14457i 0.505211 0.148343i
\(210\) 11.0243 + 4.12024i 0.760749 + 0.284323i
\(211\) 17.1270 11.0069i 1.17907 0.757744i 0.203857 0.979001i \(-0.434652\pi\)
0.975216 + 0.221257i \(0.0710159\pi\)
\(212\) −18.3970 + 2.64509i −1.26351 + 0.181665i
\(213\) −1.58300 + 2.46319i −0.108465 + 0.168775i
\(214\) 0.972139 2.12869i 0.0664540 0.145514i
\(215\) −5.87649 + 26.9273i −0.400773 + 1.83642i
\(216\) −2.42860 + 16.8913i −0.165245 + 1.14931i
\(217\) −14.3490 + 6.55298i −0.974075 + 0.444845i
\(218\) −6.59603 + 22.4640i −0.446739 + 1.52145i
\(219\) −4.02400 1.18155i −0.271917 0.0798420i
\(220\) −13.3775 + 17.8454i −0.901909 + 1.20313i
\(221\) 0.680429 4.73249i 0.0457706 0.318342i
\(222\) 8.17469 + 7.08341i 0.548649 + 0.475407i
\(223\) 12.4925 + 5.70514i 0.836561 + 0.382044i 0.787171 0.616735i \(-0.211545\pi\)
0.0493898 + 0.998780i \(0.484272\pi\)
\(224\) −8.00601 5.14515i −0.534924 0.343775i
\(225\) 6.93828 + 3.17981i 0.462552 + 0.211987i
\(226\) −21.6068 + 13.8859i −1.43727 + 0.923675i
\(227\) −4.00704 + 3.47212i −0.265957 + 0.230453i −0.777622 0.628732i \(-0.783574\pi\)
0.511665 + 0.859185i \(0.329029\pi\)
\(228\) 2.91785 + 9.93729i 0.193240 + 0.658113i
\(229\) 9.12630 0.603083 0.301542 0.953453i \(-0.402499\pi\)
0.301542 + 0.953453i \(0.402499\pi\)
\(230\) −24.3385 4.70588i −1.60483 0.310297i
\(231\) −6.79220 −0.446894
\(232\) −3.43981 11.7149i −0.225834 0.769121i
\(233\) 13.2595 11.4894i 0.868657 0.752696i −0.101586 0.994827i \(-0.532392\pi\)
0.970244 + 0.242131i \(0.0778464\pi\)
\(234\) −4.00025 + 2.57081i −0.261505 + 0.168059i
\(235\) 3.83116 + 5.12496i 0.249917 + 0.334315i
\(236\) 32.5371 + 20.9103i 2.11799 + 1.36115i
\(237\) 4.70424 + 2.14835i 0.305573 + 0.139551i
\(238\) −11.6258 10.0738i −0.753586 0.652986i
\(239\) 2.72097 18.9248i 0.176005 1.22414i −0.689889 0.723916i \(-0.742341\pi\)
0.865894 0.500228i \(-0.166750\pi\)
\(240\) −1.06897 0.801332i −0.0690015 0.0517257i
\(241\) −7.32540 2.15093i −0.471871 0.138554i 0.0371469 0.999310i \(-0.488173\pi\)
−0.509018 + 0.860756i \(0.669991\pi\)
\(242\) −1.36838 + 4.66027i −0.0879628 + 0.299574i
\(243\) −12.6859 + 5.79344i −0.813799 + 0.371650i
\(244\) 6.93894 48.2614i 0.444220 3.08962i
\(245\) −7.60650 1.66001i −0.485961 0.106054i
\(246\) 13.7145 30.0306i 0.874405 1.91468i
\(247\) −1.85913 + 2.89286i −0.118294 + 0.184068i
\(248\) 25.8534 3.71716i 1.64170 0.236040i
\(249\) 2.16999 1.39457i 0.137517 0.0883770i
\(250\) −20.7206 + 15.4466i −1.31049 + 0.976931i
\(251\) −14.4794 + 4.25153i −0.913930 + 0.268354i −0.704694 0.709511i \(-0.748916\pi\)
−0.209236 + 0.977865i \(0.567098\pi\)
\(252\) 9.57302i 0.603043i
\(253\) 14.1082 2.37345i 0.886973 0.149218i
\(254\) −25.9515 −1.62834
\(255\) 6.80505 + 6.81414i 0.426149 + 0.426718i
\(256\) 12.4745 + 14.3963i 0.779654 + 0.899769i
\(257\) 15.3572 + 23.8963i 0.957957 + 1.49061i 0.869142 + 0.494563i \(0.164672\pi\)
0.0888154 + 0.996048i \(0.471692\pi\)
\(258\) 34.2346 4.92219i 2.13135 0.306442i
\(259\) 6.08251 + 3.90899i 0.377949 + 0.242893i
\(260\) −0.712054 10.0501i −0.0441597 0.623278i
\(261\) 3.92972 4.53514i 0.243244 0.280718i
\(262\) −29.6764 4.26682i −1.83341 0.263605i
\(263\) −19.9021 + 9.08900i −1.22722 + 0.560452i −0.920273 0.391276i \(-0.872034\pi\)
−0.306944 + 0.951727i \(0.599307\pi\)
\(264\) 10.7909 + 3.16849i 0.664134 + 0.195007i
\(265\) 12.1476 2.63406i 0.746222 0.161809i
\(266\) 4.59615 + 10.0642i 0.281808 + 0.617073i
\(267\) 10.7041 + 1.53902i 0.655081 + 0.0941865i
\(268\) −1.11440 0.965636i −0.0680730 0.0589856i
\(269\) 3.64720 7.98626i 0.222374 0.486931i −0.765258 0.643724i \(-0.777388\pi\)
0.987631 + 0.156793i \(0.0501157\pi\)
\(270\) 2.04504 28.3277i 0.124457 1.72397i
\(271\) 1.61872 + 11.2585i 0.0983305 + 0.683903i 0.978044 + 0.208399i \(0.0668253\pi\)
−0.879713 + 0.475504i \(0.842266\pi\)
\(272\) 0.944075 + 1.46901i 0.0572430 + 0.0890718i
\(273\) 2.31892 2.00936i 0.140347 0.121612i
\(274\) 20.7626 6.09645i 1.25432 0.368300i
\(275\) 8.08066 12.5369i 0.487282 0.756005i
\(276\) 3.22926 + 19.1952i 0.194379 + 1.15542i
\(277\) 32.2080i 1.93519i −0.252503 0.967596i \(-0.581254\pi\)
0.252503 0.967596i \(-0.418746\pi\)
\(278\) 3.79594 + 12.9278i 0.227666 + 0.775358i
\(279\) 8.40672 + 9.70187i 0.503297 + 0.580836i
\(280\) −11.4285 6.25033i −0.682982 0.373529i
\(281\) 0.459390 + 3.19513i 0.0274049 + 0.190605i 0.998925 0.0463510i \(-0.0147593\pi\)
−0.971520 + 0.236956i \(0.923850\pi\)
\(282\) 4.34121 6.75506i 0.258516 0.402258i
\(283\) −17.5241 8.00297i −1.04170 0.475727i −0.180275 0.983616i \(-0.557699\pi\)
−0.861422 + 0.507889i \(0.830426\pi\)
\(284\) 5.28134 6.09499i 0.313390 0.361671i
\(285\) −2.41618 6.49126i −0.143122 0.384509i
\(286\) 3.86036 + 8.45302i 0.228268 + 0.499837i
\(287\) 6.21725 21.1740i 0.366992 1.24986i
\(288\) −2.18196 + 7.43108i −0.128573 + 0.437881i
\(289\) 1.83305 + 4.01383i 0.107827 + 0.236108i
\(290\) 7.08853 + 19.0439i 0.416253 + 1.11829i
\(291\) −8.31188 + 9.59242i −0.487251 + 0.562318i
\(292\) 10.5077 + 4.79869i 0.614914 + 0.280822i
\(293\) 4.86393 7.56843i 0.284154 0.442152i −0.669608 0.742715i \(-0.733538\pi\)
0.953762 + 0.300562i \(0.0971743\pi\)
\(294\) 1.39044 + 9.67069i 0.0810918 + 0.564006i
\(295\) −22.6938 12.4114i −1.32129 0.722622i
\(296\) −7.83989 9.04772i −0.455685 0.525888i
\(297\) 4.61790 + 15.7271i 0.267958 + 0.912580i
\(298\) 27.7381i 1.60682i
\(299\) −4.11451 + 4.98398i −0.237948 + 0.288231i
\(300\) 17.0574 + 10.9943i 0.984811 + 0.634758i
\(301\) 22.1826 6.51340i 1.27858 0.375426i
\(302\) 7.43063 6.43868i 0.427585 0.370504i
\(303\) −3.30189 5.13784i −0.189689 0.295161i
\(304\) −0.178738 1.24315i −0.0102513 0.0712994i
\(305\) −2.34792 + 32.5232i −0.134441 + 1.86227i
\(306\) −5.20052 + 11.3875i −0.297294 + 0.650983i
\(307\) 0.401033 + 0.347497i 0.0228882 + 0.0198327i 0.666230 0.745747i \(-0.267907\pi\)
−0.643342 + 0.765579i \(0.722452\pi\)
\(308\) 18.5179 + 2.66247i 1.05515 + 0.151708i
\(309\) 0.571531 + 1.25148i 0.0325133 + 0.0711941i
\(310\) −42.4833 + 9.21199i −2.41289 + 0.523206i
\(311\) −13.2849 3.90080i −0.753319 0.221194i −0.117543 0.993068i \(-0.537502\pi\)
−0.635776 + 0.771873i \(0.719320\pi\)
\(312\) −4.62145 + 2.11055i −0.261638 + 0.119486i
\(313\) 1.28296 + 0.184462i 0.0725172 + 0.0104264i 0.178478 0.983944i \(-0.442883\pi\)
−0.105961 + 0.994370i \(0.533792\pi\)
\(314\) 32.1428 37.0947i 1.81392 2.09338i
\(315\) −0.452464 6.38616i −0.0254935 0.359819i
\(316\) −11.9832 7.70116i −0.674110 0.433224i
\(317\) 15.6734 2.25349i 0.880305 0.126569i 0.312682 0.949858i \(-0.398772\pi\)
0.567622 + 0.823289i \(0.307863\pi\)
\(318\) −8.43314 13.1222i −0.472907 0.735858i
\(319\) −7.67976 8.86291i −0.429984 0.496228i
\(320\) −20.0874 20.1143i −1.12292 1.12442i
\(321\) 1.22889 0.0685902
\(322\) 6.33294 + 19.8062i 0.352921 + 1.10376i
\(323\) 9.05326i 0.503737i
\(324\) −6.70693 + 1.96933i −0.372607 + 0.109407i
\(325\) 0.950022 + 6.67074i 0.0526978 + 0.370026i
\(326\) −17.9989 + 11.5672i −0.996865 + 0.640646i
\(327\) −12.1694 + 1.74970i −0.672972 + 0.0967587i
\(328\) −19.7549 + 30.7392i −1.09078 + 1.69729i
\(329\) 2.22971 4.88238i 0.122928 0.269174i
\(330\) −18.2872 3.99091i −1.00668 0.219693i
\(331\) 1.86398 12.9643i 0.102454 0.712580i −0.872247 0.489065i \(-0.837338\pi\)
0.974701 0.223515i \(-0.0717530\pi\)
\(332\) −6.46278 + 2.95145i −0.354691 + 0.161982i
\(333\) 1.65773 5.64572i 0.0908431 0.309383i
\(334\) −22.3075 6.55008i −1.22061 0.358404i
\(335\) 0.789059 + 0.591504i 0.0431109 + 0.0323173i
\(336\) −0.159486 + 1.10925i −0.00870069 + 0.0605146i
\(337\) −4.56005 3.95131i −0.248402 0.215241i 0.521756 0.853095i \(-0.325277\pi\)
−0.770158 + 0.637853i \(0.779823\pi\)
\(338\) 23.5166 + 10.7397i 1.27914 + 0.584162i
\(339\) −11.3464 7.29191i −0.616254 0.396042i
\(340\) −15.8818 21.2452i −0.861313 1.15218i
\(341\) 21.1052 13.5635i 1.14291 0.734505i
\(342\) 6.80473 5.89633i 0.367957 0.318837i
\(343\) 5.53902 + 18.8642i 0.299079 + 1.01857i
\(344\) −38.2804 −2.06394
\(345\) −3.06149 12.6525i −0.164825 0.681188i
\(346\) −7.91933 −0.425746
\(347\) −1.64524 5.60317i −0.0883210 0.300794i 0.903472 0.428647i \(-0.141010\pi\)
−0.991793 + 0.127853i \(0.959191\pi\)
\(348\) 12.0587 10.4489i 0.646412 0.560119i
\(349\) −12.7323 + 8.18254i −0.681543 + 0.438001i −0.835070 0.550143i \(-0.814573\pi\)
0.153527 + 0.988144i \(0.450937\pi\)
\(350\) 19.7081 + 9.03222i 1.05344 + 0.482792i
\(351\) −6.22919 4.00326i −0.332490 0.213678i
\(352\) 13.7677 + 6.28750i 0.733821 + 0.335125i
\(353\) −16.2991 14.1233i −0.867514 0.751706i 0.102505 0.994732i \(-0.467314\pi\)
−0.970020 + 0.243027i \(0.921860\pi\)
\(354\) −4.61948 + 32.1292i −0.245523 + 1.70765i
\(355\) −3.23510 + 4.31559i −0.171702 + 0.229048i
\(356\) −28.5798 8.39179i −1.51473 0.444764i
\(357\) 2.27588 7.75093i 0.120452 0.410223i
\(358\) 32.0012 14.6145i 1.69132 0.772398i
\(359\) 1.73450 12.0637i 0.0915436 0.636700i −0.891458 0.453103i \(-0.850317\pi\)
0.983002 0.183597i \(-0.0587740\pi\)
\(360\) −2.26024 + 10.3569i −0.119125 + 0.545855i
\(361\) −5.18796 + 11.3600i −0.273050 + 0.597897i
\(362\) −28.4910 + 44.3329i −1.49746 + 2.33009i
\(363\) −2.52461 + 0.362985i −0.132508 + 0.0190518i
\(364\) −7.10982 + 4.56920i −0.372656 + 0.239491i
\(365\) −7.23647 2.70456i −0.378774 0.141563i
\(366\) 39.2623 11.5285i 2.05227 0.602602i
\(367\) 12.5883i 0.657105i −0.944486 0.328552i \(-0.893439\pi\)
0.944486 0.328552i \(-0.106561\pi\)
\(368\) −0.0563438 2.35977i −0.00293712 0.123011i
\(369\) −17.9590 −0.934908
\(370\) 14.0796 + 14.0984i 0.731963 + 0.732941i
\(371\) −6.82798 7.87991i −0.354491 0.409105i
\(372\) 18.4542 + 28.7152i 0.956804 + 1.48882i
\(373\) 24.0110 3.45226i 1.24324 0.178751i 0.510872 0.859657i \(-0.329323\pi\)
0.732371 + 0.680906i \(0.238414\pi\)
\(374\) 20.5815 + 13.2269i 1.06424 + 0.683948i
\(375\) −11.8987 6.52811i −0.614444 0.337110i
\(376\) −5.81995 + 6.71658i −0.300141 + 0.346381i
\(377\) 5.24388 + 0.753956i 0.270074 + 0.0388307i
\(378\) −21.6711 + 9.89687i −1.11464 + 0.509040i
\(379\) 9.20201 + 2.70195i 0.472676 + 0.138790i 0.509390 0.860536i \(-0.329871\pi\)
−0.0367145 + 0.999326i \(0.511689\pi\)
\(380\) 4.04284 + 18.6445i 0.207393 + 0.956444i
\(381\) −5.66126 12.3964i −0.290035 0.635088i
\(382\) −45.7219 6.57381i −2.33933 0.336346i
\(383\) −6.80884 5.89990i −0.347916 0.301471i 0.463319 0.886192i \(-0.346658\pi\)
−0.811234 + 0.584721i \(0.801204\pi\)
\(384\) −9.70208 + 21.2446i −0.495107 + 1.08413i
\(385\) −12.4791 0.900895i −0.635995 0.0459139i
\(386\) −2.40919 16.7563i −0.122625 0.852873i
\(387\) −10.1719 15.8277i −0.517065 0.804569i
\(388\) 26.4212 22.8941i 1.34133 1.16227i
\(389\) 18.6610 5.47935i 0.946148 0.277814i 0.227966 0.973669i \(-0.426793\pi\)
0.718182 + 0.695855i \(0.244974\pi\)
\(390\) 7.42405 4.04741i 0.375931 0.204948i
\(391\) −2.01878 + 16.8948i −0.102094 + 0.854408i
\(392\) 10.8136i 0.546167i
\(393\) −4.43567 15.1065i −0.223750 0.762023i
\(394\) 1.79102 + 2.06694i 0.0902301 + 0.104131i
\(395\) 8.35802 + 4.57107i 0.420537 + 0.229995i
\(396\) −2.16673 15.0700i −0.108882 0.757294i
\(397\) 5.25297 8.17378i 0.263639 0.410230i −0.684045 0.729440i \(-0.739781\pi\)
0.947684 + 0.319209i \(0.103417\pi\)
\(398\) 4.80599 + 2.19482i 0.240902 + 0.110016i
\(399\) −3.80478 + 4.39095i −0.190477 + 0.219822i
\(400\) −1.85769 1.61405i −0.0928847 0.0807024i
\(401\) 4.96742 + 10.8771i 0.248061 + 0.543178i 0.992172 0.124878i \(-0.0398540\pi\)
−0.744111 + 0.668056i \(0.767127\pi\)
\(402\) 0.348652 1.18740i 0.0173892 0.0592222i
\(403\) −3.19299 + 10.8743i −0.159054 + 0.541689i
\(404\) 6.98811 + 15.3018i 0.347671 + 0.761294i
\(405\) 4.38112 1.63074i 0.217699 0.0810322i
\(406\) 11.1623 12.8820i 0.553978 0.639325i
\(407\) −10.4599 4.77689i −0.518479 0.236782i
\(408\) −7.23145 + 11.2524i −0.358010 + 0.557075i
\(409\) 2.38261 + 16.5714i 0.117813 + 0.819404i 0.959956 + 0.280151i \(0.0903844\pi\)
−0.842144 + 0.539253i \(0.818707\pi\)
\(410\) 29.1804 53.3553i 1.44112 2.63503i
\(411\) 7.44145 + 8.58789i 0.367060 + 0.423609i
\(412\) −1.06762 3.63599i −0.0525981 0.179133i
\(413\) 21.6973i 1.06766i
\(414\) 14.0135 9.48611i 0.688727 0.466217i
\(415\) 4.17182 2.27437i 0.204787 0.111645i
\(416\) −6.56047 + 1.92633i −0.321653 + 0.0944460i
\(417\) −5.34723 + 4.63340i −0.261855 + 0.226899i
\(418\) −9.51321 14.8028i −0.465306 0.724031i
\(419\) 4.49087 + 31.2347i 0.219393 + 1.52591i 0.740286 + 0.672292i \(0.234690\pi\)
−0.520893 + 0.853622i \(0.674401\pi\)
\(420\) 1.22574 16.9788i 0.0598098 0.828480i
\(421\) 4.23877 9.28162i 0.206585 0.452359i −0.777771 0.628548i \(-0.783650\pi\)
0.984356 + 0.176189i \(0.0563770\pi\)
\(422\) −35.5670 30.8190i −1.73137 1.50024i
\(423\) −4.32358 0.621637i −0.210220 0.0302250i
\(424\) 7.17184 + 15.7041i 0.348296 + 0.762661i
\(425\) 11.5989 + 13.4220i 0.562630 + 0.651063i
\(426\) 6.49423 + 1.90688i 0.314647 + 0.0923886i
\(427\) 24.8807 11.3626i 1.20406 0.549877i
\(428\) −3.35039 0.481713i −0.161947 0.0232845i
\(429\) −3.19568 + 3.68801i −0.154289 + 0.178059i
\(430\) 63.5510 4.50264i 3.06470 0.217136i
\(431\) −14.2924 9.18518i −0.688441 0.442434i 0.149090 0.988824i \(-0.452366\pi\)
−0.837531 + 0.546389i \(0.816002\pi\)
\(432\) 2.67687 0.384875i 0.128791 0.0185173i
\(433\) 8.02233 + 12.4830i 0.385529 + 0.599894i 0.978728 0.205161i \(-0.0657718\pi\)
−0.593200 + 0.805055i \(0.702135\pi\)
\(434\) 23.8792 + 27.5581i 1.14624 + 1.32283i
\(435\) −7.55047 + 7.54040i −0.362017 + 0.361535i
\(436\) 33.8639 1.62179
\(437\) 6.36858 10.4500i 0.304651 0.499892i
\(438\) 9.69462i 0.463227i
\(439\) −23.1462 + 6.79633i −1.10471 + 0.324371i −0.782721 0.622373i \(-0.786169\pi\)
−0.321986 + 0.946744i \(0.604351\pi\)
\(440\) 19.4055 + 7.25265i 0.925123 + 0.345757i
\(441\) 4.47107 2.87338i 0.212908 0.136828i
\(442\) −10.9397 + 1.57289i −0.520347 + 0.0748146i
\(443\) 14.7386 22.9338i 0.700254 1.08962i −0.290882 0.956759i \(-0.593949\pi\)
0.991135 0.132857i \(-0.0424151\pi\)
\(444\) 6.49931 14.2315i 0.308444 0.675398i
\(445\) 19.4622 + 4.24735i 0.922599 + 0.201344i
\(446\) 4.51803 31.4236i 0.213935 1.48795i
\(447\) 13.2498 6.05099i 0.626695 0.286202i
\(448\) −6.71803 + 22.8795i −0.317397 + 1.08096i
\(449\) −5.99141 1.75924i −0.282752 0.0830235i 0.137281 0.990532i \(-0.456164\pi\)
−0.420034 + 0.907509i \(0.637982\pi\)
\(450\) 2.53413 17.4598i 0.119460 0.823063i
\(451\) −4.99480 + 34.7396i −0.235196 + 1.63582i
\(452\) 28.0759 + 24.3279i 1.32058 + 1.14429i
\(453\) 4.69658 + 2.14486i 0.220665 + 0.100774i
\(454\) 10.3107 + 6.62627i 0.483904 + 0.310986i
\(455\) 4.52700 3.38416i 0.212229 0.158652i
\(456\) 8.09305 5.20109i 0.378992 0.243563i
\(457\) 12.6440 10.9561i 0.591460 0.512503i −0.306912 0.951738i \(-0.599296\pi\)
0.898372 + 0.439235i \(0.144750\pi\)
\(458\) −5.94356 20.2419i −0.277724 0.945842i
\(459\) −19.4943 −0.909918
\(460\) 3.38704 + 35.6952i 0.157922 + 1.66430i
\(461\) −20.8453 −0.970864 −0.485432 0.874274i \(-0.661338\pi\)
−0.485432 + 0.874274i \(0.661338\pi\)
\(462\) 4.42346 + 15.0649i 0.205798 + 0.700884i
\(463\) −7.83056 + 6.78522i −0.363917 + 0.315336i −0.817555 0.575850i \(-0.804671\pi\)
0.453638 + 0.891186i \(0.350126\pi\)
\(464\) −1.62775 + 1.04609i −0.0755664 + 0.0485636i
\(465\) −13.6680 18.2837i −0.633838 0.847887i
\(466\) −34.1185 21.9266i −1.58051 1.01573i
\(467\) −15.7408 7.18857i −0.728396 0.332648i 0.0164670 0.999864i \(-0.494758\pi\)
−0.744863 + 0.667217i \(0.767485\pi\)
\(468\) 5.19793 + 4.50403i 0.240274 + 0.208199i
\(469\) 0.117725 0.818795i 0.00543604 0.0378085i
\(470\) 8.87196 11.8351i 0.409233 0.545911i
\(471\) 24.7312 + 7.26172i 1.13955 + 0.334603i
\(472\) 10.1216 34.4709i 0.465883 1.58665i
\(473\) −33.4459 + 15.2742i −1.53785 + 0.702311i
\(474\) 1.70133 11.8330i 0.0781447 0.543508i
\(475\) −3.57820 12.2467i −0.164179 0.561916i
\(476\) −9.24310 + 20.2396i −0.423657 + 0.927679i
\(477\) −4.58747 + 7.13824i −0.210046 + 0.326838i
\(478\) −43.7468 + 6.28983i −2.00093 + 0.287690i
\(479\) −9.27666 + 5.96175i −0.423862 + 0.272399i −0.735135 0.677921i \(-0.762881\pi\)
0.311273 + 0.950321i \(0.399245\pi\)
\(480\) 4.82143 12.9004i 0.220067 0.588822i
\(481\) 4.98427 1.46351i 0.227263 0.0667305i
\(482\) 17.6484i 0.803861i
\(483\) −8.07946 + 7.34578i −0.367628 + 0.334245i
\(484\) 7.02525 0.319330
\(485\) −16.5435 + 16.5214i −0.751201 + 0.750199i
\(486\) 21.1114 + 24.3639i 0.957635 + 1.10517i
\(487\) 13.0617 + 20.3245i 0.591884 + 0.920989i 0.999968 + 0.00804472i \(0.00256074\pi\)
−0.408084 + 0.912944i \(0.633803\pi\)
\(488\) −44.8290 + 6.44544i −2.02931 + 0.291771i
\(489\) −9.45178 6.07429i −0.427424 0.274689i
\(490\) 1.27192 + 17.9521i 0.0574594 + 0.810993i
\(491\) −13.9624 + 16.1135i −0.630116 + 0.727193i −0.977595 0.210495i \(-0.932492\pi\)
0.347479 + 0.937688i \(0.387038\pi\)
\(492\) −47.2658 6.79580i −2.13091 0.306378i
\(493\) 12.6872 5.79405i 0.571402 0.260951i
\(494\) 7.62706 + 2.23951i 0.343158 + 0.100760i
\(495\) 2.15770 + 9.95077i 0.0969815 + 0.447254i
\(496\) −1.71952 3.76523i −0.0772088 0.169064i
\(497\) 4.47822 + 0.643871i 0.200876 + 0.0288816i
\(498\) −4.50632 3.90475i −0.201933 0.174976i
\(499\) −8.82827 + 19.3312i −0.395208 + 0.865384i 0.602526 + 0.798099i \(0.294161\pi\)
−0.997734 + 0.0672848i \(0.978566\pi\)
\(500\) 29.8809 + 22.4620i 1.33631 + 1.00453i
\(501\) −1.73751 12.0847i −0.0776263 0.539903i
\(502\) 18.8595 + 29.3460i 0.841743 + 1.30978i
\(503\) −11.3507 + 9.83541i −0.506101 + 0.438539i −0.870111 0.492856i \(-0.835953\pi\)
0.364010 + 0.931395i \(0.381408\pi\)
\(504\) 8.53198 2.50521i 0.380044 0.111591i
\(505\) −5.38500 9.87756i −0.239629 0.439545i
\(506\) −14.4523 29.7458i −0.642483 1.32236i
\(507\) 13.5762i 0.602940i
\(508\) 10.5753 + 36.0161i 0.469202 + 1.59796i
\(509\) −13.6602 15.7647i −0.605477 0.698757i 0.367405 0.930061i \(-0.380246\pi\)
−0.972882 + 0.231304i \(0.925701\pi\)
\(510\) 10.6817 19.5312i 0.472996 0.864854i
\(511\) 0.922241 + 6.41432i 0.0407975 + 0.283753i
\(512\) 3.00295 4.67269i 0.132713 0.206506i
\(513\) 12.7539 + 5.82451i 0.563098 + 0.257158i
\(514\) 42.9999 49.6245i 1.89664 2.18884i
\(515\) 0.884065 + 2.37511i 0.0389566 + 0.104660i
\(516\) −20.7818 45.5057i −0.914866 2.00328i
\(517\) −2.40497 + 8.19056i −0.105770 + 0.360221i
\(518\) 4.70877 16.0366i 0.206892 0.704608i
\(519\) −1.72758 3.78288i −0.0758325 0.166050i
\(520\) −8.77080 + 3.26467i −0.384625 + 0.143165i
\(521\) −3.48604 + 4.02311i −0.152726 + 0.176255i −0.826957 0.562265i \(-0.809930\pi\)
0.674231 + 0.738521i \(0.264475\pi\)
\(522\) −12.6181 5.76249i −0.552278 0.252217i
\(523\) −0.424173 + 0.660025i −0.0185478 + 0.0288609i −0.850404 0.526131i \(-0.823642\pi\)
0.831856 + 0.554992i \(0.187279\pi\)
\(524\) 6.17158 + 42.9243i 0.269607 + 1.87516i
\(525\) −0.0151947 + 11.3845i −0.000663149 + 0.496859i
\(526\) 33.1205 + 38.2231i 1.44412 + 1.66661i
\(527\) 8.40623 + 28.6290i 0.366181 + 1.24710i
\(528\) 1.78229i 0.0775644i
\(529\) 14.2150 18.0813i 0.618045 0.786143i
\(530\) −13.7535 25.2276i −0.597413 1.09582i
\(531\) 16.9422 4.97467i 0.735227 0.215882i
\(532\) 12.0943 10.4798i 0.524356 0.454357i
\(533\) −8.57183 13.3380i −0.371287 0.577734i
\(534\) −3.55761 24.7437i −0.153953 1.07077i
\(535\) 2.25781 + 0.162996i 0.0976137 + 0.00704695i
\(536\) −0.568991 + 1.24592i −0.0245767 + 0.0538154i
\(537\) 13.9620 + 12.0981i 0.602504 + 0.522072i
\(538\) −20.0886 2.88830i −0.866080 0.124523i
\(539\) −4.31472 9.44792i −0.185848 0.406951i
\(540\) −40.1472 + 8.70542i −1.72766 + 0.374622i
\(541\) 15.6230 + 4.58732i 0.671684 + 0.197224i 0.599753 0.800185i \(-0.295266\pi\)
0.0719312 + 0.997410i \(0.477084\pi\)
\(542\) 23.9168 10.9224i 1.02731 0.469159i
\(543\) −27.3921 3.93838i −1.17551 0.169012i
\(544\) −11.7882 + 13.6043i −0.505413 + 0.583278i
\(545\) −22.5906 + 1.60056i −0.967677 + 0.0685606i
\(546\) −5.96691 3.83470i −0.255360 0.164110i
\(547\) 41.9431 6.03051i 1.79336 0.257846i 0.836410 0.548104i \(-0.184650\pi\)
0.956948 + 0.290258i \(0.0937412\pi\)
\(548\) −16.9216 26.3305i −0.722855 1.12478i
\(549\) −14.5770 16.8227i −0.622130 0.717976i
\(550\) −33.0691 9.75794i −1.41007 0.416080i
\(551\) −10.0316 −0.427358
\(552\) 16.2627 7.90139i 0.692187 0.336305i
\(553\) 7.99101i 0.339812i
\(554\) −71.4365 + 20.9757i −3.03505 + 0.891170i
\(555\) −3.66305 + 9.80103i −0.155488 + 0.416031i
\(556\) 16.3946 10.5362i 0.695287 0.446834i
\(557\) −41.6392 + 5.98682i −1.76431 + 0.253670i −0.946703 0.322106i \(-0.895609\pi\)
−0.817607 + 0.575776i \(0.804700\pi\)
\(558\) 16.0436 24.9643i 0.679178 1.05682i
\(559\) 6.90012 15.1092i 0.291844 0.639050i
\(560\) −0.440147 + 2.01684i −0.0185996 + 0.0852271i
\(561\) −1.82839 + 12.7167i −0.0771946 + 0.536900i
\(562\) 6.78752 3.09976i 0.286314 0.130755i
\(563\) 1.64545 5.60389i 0.0693475 0.236176i −0.917525 0.397679i \(-0.869816\pi\)
0.986872 + 0.161503i \(0.0516341\pi\)
\(564\) −11.1439 3.27214i −0.469242 0.137782i
\(565\) −19.8793 14.9022i −0.836329 0.626939i
\(566\) −6.33773 + 44.0799i −0.266395 + 1.85282i
\(567\) −2.96356 2.56794i −0.124458 0.107843i
\(568\) −6.81428 3.11198i −0.285921 0.130576i
\(569\) 33.4619 + 21.5047i 1.40280 + 0.901522i 0.999906 0.0137259i \(-0.00436924\pi\)
0.402890 + 0.915248i \(0.368006\pi\)
\(570\) −12.8239 + 9.58650i −0.537134 + 0.401534i
\(571\) 1.94014 1.24685i 0.0811925 0.0521793i −0.499415 0.866363i \(-0.666452\pi\)
0.580607 + 0.814184i \(0.302815\pi\)
\(572\) 10.1582 8.80212i 0.424735 0.368035i
\(573\) −6.83396 23.2743i −0.285493 0.972299i
\(574\) −51.0124 −2.12922
\(575\) −3.94661 23.6522i −0.164585 0.986363i
\(576\) 19.4056 0.808565
\(577\) 4.60568 + 15.6855i 0.191737 + 0.652995i 0.998102 + 0.0615780i \(0.0196133\pi\)
−0.806366 + 0.591418i \(0.798569\pi\)
\(578\) 7.70878 6.67970i 0.320643 0.277839i
\(579\) 7.47853 4.80616i 0.310797 0.199737i
\(580\) 23.5409 17.5980i 0.977484 0.730718i
\(581\) −3.35301 2.15485i −0.139106 0.0893981i
\(582\) 26.6889 + 12.1884i 1.10629 + 0.505226i
\(583\) 12.5322 + 10.8592i 0.519032 + 0.449743i
\(584\) 1.52704 10.6208i 0.0631892 0.439491i
\(585\) −3.68042 2.75896i −0.152167 0.114069i
\(586\) −19.9542 5.85909i −0.824302 0.242037i
\(587\) 12.7193 43.3180i 0.524982 1.78793i −0.0860160 0.996294i \(-0.527414\pi\)
0.610998 0.791632i \(-0.290768\pi\)
\(588\) 12.8546 5.87050i 0.530115 0.242095i
\(589\) 3.05410 21.2417i 0.125842 0.875249i
\(590\) −12.7487 + 58.4173i −0.524858 + 2.40500i
\(591\) −0.596624 + 1.30643i −0.0245418 + 0.0537391i
\(592\) −1.02573 + 1.59607i −0.0421573 + 0.0655981i
\(593\) 1.62178 0.233177i 0.0665986 0.00957543i −0.108935 0.994049i \(-0.534744\pi\)
0.175534 + 0.984473i \(0.443835\pi\)
\(594\) 31.8749 20.4848i 1.30784 0.840500i
\(595\) 5.20946 13.9387i 0.213567 0.571431i
\(596\) −38.4955 + 11.3033i −1.57684 + 0.463001i
\(597\) 2.77450i 0.113553i
\(598\) 13.7339 + 5.88004i 0.561622 + 0.240453i
\(599\) 43.3808 1.77249 0.886246 0.463216i \(-0.153304\pi\)
0.886246 + 0.463216i \(0.153304\pi\)
\(600\) 5.33488 18.0796i 0.217796 0.738098i
\(601\) −8.84669 10.2096i −0.360864 0.416459i 0.546065 0.837743i \(-0.316125\pi\)
−0.906929 + 0.421283i \(0.861580\pi\)
\(602\) −28.8931 44.9586i −1.17760 1.83237i
\(603\) −0.666341 + 0.0958053i −0.0271355 + 0.00390149i
\(604\) −11.9637 7.68863i −0.486797 0.312846i
\(605\) −4.68655 + 0.332045i −0.190535 + 0.0134995i
\(606\) −9.24522 + 10.6695i −0.375561 + 0.433421i
\(607\) −12.1049 1.74042i −0.491322 0.0706414i −0.107799 0.994173i \(-0.534380\pi\)
−0.383523 + 0.923531i \(0.625289\pi\)
\(608\) 11.7769 5.37833i 0.477616 0.218120i
\(609\) 8.58849 + 2.52181i 0.348023 + 0.102189i
\(610\) 73.6646 15.9733i 2.98259 0.646739i
\(611\) −1.60196 3.50780i −0.0648083 0.141910i
\(612\) 17.9231 + 2.57695i 0.724499 + 0.104167i
\(613\) 20.8038 + 18.0266i 0.840259 + 0.728088i 0.964477 0.264167i \(-0.0850969\pi\)
−0.124218 + 0.992255i \(0.539642\pi\)
\(614\) 0.509565 1.11579i 0.0205644 0.0450297i
\(615\) 31.8522 + 2.29948i 1.28441 + 0.0927240i
\(616\) −2.47311 17.2009i −0.0996445 0.693043i
\(617\) 8.00869 + 12.4618i 0.322418 + 0.501692i 0.964193 0.265201i \(-0.0854382\pi\)
−0.641775 + 0.766893i \(0.721802\pi\)
\(618\) 2.40353 2.08267i 0.0966843 0.0837774i
\(619\) −23.8384 + 6.99958i −0.958145 + 0.281337i −0.723174 0.690666i \(-0.757318\pi\)
−0.234971 + 0.972002i \(0.575499\pi\)
\(620\) 30.0966 + 55.2054i 1.20871 + 2.21710i
\(621\) 22.5020 + 13.7134i 0.902974 + 0.550302i
\(622\) 32.0060i 1.28332i
\(623\) −4.70770 16.0330i −0.188610 0.642347i
\(624\) 0.527261 + 0.608492i 0.0211073 + 0.0243592i
\(625\) −20.9952 13.5721i −0.839807 0.542884i
\(626\) −0.426404 2.96570i −0.0170425 0.118533i
\(627\) 4.99569 7.77345i 0.199509 0.310442i
\(628\) −64.5791 29.4923i −2.57699 1.17687i
\(629\) 8.95597 10.3357i 0.357098 0.412113i
\(630\) −13.8697 + 5.16258i −0.552581 + 0.205682i
\(631\) 6.07083 + 13.2933i 0.241676 + 0.529196i 0.991136 0.132854i \(-0.0424140\pi\)
−0.749460 + 0.662050i \(0.769687\pi\)
\(632\) −3.72772 + 12.6955i −0.148281 + 0.504998i
\(633\) 6.96265 23.7126i 0.276741 0.942492i
\(634\) −15.2056 33.2955i −0.603890 1.32234i
\(635\) −8.75705 23.5265i −0.347513 0.933620i
\(636\) −14.7748 + 17.0510i −0.585859 + 0.676117i
\(637\) 4.26809 + 1.94917i 0.169108 + 0.0772289i
\(638\) −14.6562 + 22.8055i −0.580245 + 0.902880i
\(639\) −0.523987 3.64441i −0.0207286 0.144170i
\(640\) −20.6432 + 37.7452i −0.815993 + 1.49201i
\(641\) 29.1393 + 33.6285i 1.15093 + 1.32825i 0.936157 + 0.351582i \(0.114356\pi\)
0.214774 + 0.976664i \(0.431098\pi\)
\(642\) −0.800325 2.72566i −0.0315863 0.107573i
\(643\) 42.1236i 1.66119i 0.556874 + 0.830597i \(0.312001\pi\)
−0.556874 + 0.830597i \(0.687999\pi\)
\(644\) 24.9068 16.8601i 0.981467 0.664379i
\(645\) 16.0143 + 29.3746i 0.630563 + 1.15662i
\(646\) 20.0799 5.89599i 0.790033 0.231974i
\(647\) −5.85345 + 5.07204i −0.230123 + 0.199403i −0.762288 0.647238i \(-0.775924\pi\)
0.532165 + 0.846641i \(0.321379\pi\)
\(648\) 3.51035 + 5.46221i 0.137899 + 0.214576i
\(649\) −4.91092 34.1562i −0.192770 1.34075i
\(650\) 14.1768 6.45148i 0.556061 0.253048i
\(651\) −7.95466 + 17.4183i −0.311768 + 0.682676i
\(652\) 23.3877 + 20.2656i 0.915935 + 0.793662i
\(653\) −26.7170 3.84133i −1.04552 0.150323i −0.401911 0.915679i \(-0.631654\pi\)
−0.643608 + 0.765356i \(0.722563\pi\)
\(654\) 11.8062 + 25.8520i 0.461659 + 1.01089i
\(655\) −6.14586 28.3431i −0.240139 1.10746i
\(656\) 5.55612 + 1.63142i 0.216930 + 0.0636964i
\(657\) 4.79712 2.19077i 0.187154 0.0854702i
\(658\) −12.2811 1.76575i −0.478767 0.0688363i
\(659\) 19.2565 22.2232i 0.750127 0.865692i −0.244454 0.969661i \(-0.578609\pi\)
0.994581 + 0.103968i \(0.0331541\pi\)
\(660\) 1.91337 + 27.0056i 0.0744778 + 1.05119i
\(661\) −4.41718 2.83875i −0.171808 0.110414i 0.451911 0.892063i \(-0.350743\pi\)
−0.623719 + 0.781649i \(0.714379\pi\)
\(662\) −29.9683 + 4.30879i −1.16475 + 0.167466i
\(663\) −3.13779 4.88250i −0.121862 0.189621i
\(664\) 4.32177 + 4.98759i 0.167717 + 0.193556i
\(665\) −7.57281 + 7.56271i −0.293661 + 0.293269i
\(666\) −13.6017 −0.527053
\(667\) −18.7205 2.23693i −0.724860 0.0866144i
\(668\) 33.6280i 1.30111i
\(669\) 15.9959 4.69682i 0.618437 0.181590i
\(670\) 0.798062 2.13533i 0.0308318 0.0824951i
\(671\) −36.5957 + 23.5187i −1.41276 + 0.907928i
\(672\) −11.4348 + 1.64408i −0.441108 + 0.0634217i
\(673\) −1.32396 + 2.06012i −0.0510349 + 0.0794118i −0.865833 0.500332i \(-0.833211\pi\)
0.814799 + 0.579744i \(0.196848\pi\)
\(674\) −5.79413 + 12.6874i −0.223182 + 0.488700i
\(675\) 26.3707 7.70492i 1.01501 0.296563i
\(676\) 5.32172 37.0134i 0.204682 1.42359i
\(677\) 12.3151 5.62411i 0.473307 0.216152i −0.164456 0.986384i \(-0.552587\pi\)
0.637763 + 0.770232i \(0.279860\pi\)
\(678\) −8.78384 + 29.9150i −0.337341 + 1.14888i
\(679\) 18.8178 + 5.52542i 0.722162 + 0.212046i
\(680\) −14.7786 + 19.7145i −0.566734 + 0.756016i
\(681\) −0.915965 + 6.37068i −0.0350998 + 0.244125i
\(682\) −43.8284 37.9775i −1.67828 1.45423i
\(683\) 26.0538 + 11.8984i 0.996920 + 0.455278i 0.845951 0.533260i \(-0.179033\pi\)
0.150969 + 0.988538i \(0.451761\pi\)
\(684\) −10.9560 7.04099i −0.418913 0.269219i
\(685\) 12.5329 + 16.7653i 0.478857 + 0.640569i
\(686\) 38.2329 24.5708i 1.45974 0.938118i
\(687\) 8.37251 7.25482i 0.319431 0.276789i
\(688\) 1.70914 + 5.82079i 0.0651602 + 0.221915i
\(689\) −7.49113 −0.285389
\(690\) −26.0691 + 15.0303i −0.992434 + 0.572195i
\(691\) 25.8680 0.984066 0.492033 0.870577i \(-0.336254\pi\)
0.492033 + 0.870577i \(0.336254\pi\)
\(692\) 3.22714 + 10.9906i 0.122677 + 0.417801i
\(693\) 6.45487 5.59317i 0.245200 0.212467i
\(694\) −11.3562 + 7.29819i −0.431076 + 0.277036i
\(695\) −10.4389 + 7.80358i −0.395969 + 0.296007i
\(696\) −12.4683 8.01289i −0.472609 0.303728i
\(697\) −37.9695 17.3401i −1.43820 0.656802i
\(698\) 26.4406 + 22.9109i 1.00079 + 0.867192i
\(699\) 3.03097 21.0809i 0.114642 0.797351i
\(700\) 4.50402 31.0320i 0.170236 1.17290i
\(701\) 8.32237 + 2.44367i 0.314331 + 0.0922960i 0.435093 0.900386i \(-0.356715\pi\)
−0.120762 + 0.992682i \(0.538534\pi\)
\(702\) −4.82232 + 16.4233i −0.182007 + 0.619858i
\(703\) −8.94742 + 4.08615i −0.337458 + 0.154112i
\(704\) 5.39712 37.5378i 0.203411 1.41476i
\(705\) 7.58874 + 1.65613i 0.285808 + 0.0623736i
\(706\) −20.7101 + 45.3489i −0.779436 + 1.70673i
\(707\) −5.10200 + 7.93886i −0.191880 + 0.298572i
\(708\) 46.4721 6.68167i 1.74653 0.251113i
\(709\) −30.1136 + 19.3528i −1.13094 + 0.726811i −0.965756 0.259452i \(-0.916458\pi\)
−0.165184 + 0.986263i \(0.552822\pi\)
\(710\) 11.6787 + 4.36483i 0.438295 + 0.163809i
\(711\) −6.23971 + 1.83214i −0.234007 + 0.0687107i
\(712\) 27.6679i 1.03690i
\(713\) 10.4361 38.9594i 0.390836 1.45904i
\(714\) −18.6735 −0.698839
\(715\) −6.36050 + 6.35202i −0.237869 + 0.237552i
\(716\) −33.3228 38.4566i −1.24533 1.43719i
\(717\) −12.5478 19.5247i −0.468605 0.729163i
\(718\) −27.8867 + 4.00950i −1.04072 + 0.149633i
\(719\) 9.55550 + 6.14095i 0.356360 + 0.229019i 0.706555 0.707658i \(-0.250248\pi\)
−0.350195 + 0.936677i \(0.613885\pi\)
\(720\) 1.67575 0.118728i 0.0624514 0.00442473i
\(721\) 1.39214 1.60662i 0.0518462 0.0598336i
\(722\) 28.5750 + 4.10846i 1.06345 + 0.152901i
\(723\) −8.43021 + 3.84995i −0.313523 + 0.143181i
\(724\) 73.1364 + 21.4748i 2.71809 + 0.798104i
\(725\) −14.8724 + 12.8523i −0.552347 + 0.477322i
\(726\) 2.44926 + 5.36313i 0.0909006 + 0.199044i
\(727\) 6.79553 + 0.977049i 0.252032 + 0.0362368i 0.267173 0.963649i \(-0.413911\pi\)
−0.0151407 + 0.999885i \(0.504820\pi\)
\(728\) 5.93292 + 5.14090i 0.219889 + 0.190535i
\(729\) −9.63809 + 21.1045i −0.356966 + 0.781647i
\(730\) −1.28586 + 17.8117i −0.0475919 + 0.659239i
\(731\) −6.22342 43.2848i −0.230181 1.60095i
\(732\) −31.9989 49.7913i −1.18271 1.84034i
\(733\) −29.4563 + 25.5240i −1.08799 + 0.942750i −0.998582 0.0532444i \(-0.983044\pi\)
−0.0894105 + 0.995995i \(0.528498\pi\)
\(734\) −27.9206 + 8.19822i −1.03057 + 0.302602i
\(735\) −8.29784 + 4.52378i −0.306070 + 0.166862i
\(736\) 23.1769 7.41069i 0.854311 0.273162i
\(737\) 1.31560i 0.0484609i
\(738\) 11.6959 + 39.8326i 0.430532 + 1.46626i
\(739\) 14.7255 + 16.9942i 0.541687 + 0.625140i 0.958926 0.283657i \(-0.0915476\pi\)
−0.417239 + 0.908797i \(0.637002\pi\)
\(740\) 13.8286 25.2851i 0.508350 0.929499i
\(741\) 0.594065 + 4.13181i 0.0218235 + 0.151786i
\(742\) −13.0307 + 20.2761i −0.478371 + 0.744360i
\(743\) 35.0976 + 16.0285i 1.28760 + 0.588029i 0.937273 0.348596i \(-0.113342\pi\)
0.350332 + 0.936626i \(0.386069\pi\)
\(744\) 20.7632 23.9620i 0.761215 0.878488i
\(745\) 25.1461 9.35990i 0.921282 0.342920i
\(746\) −23.2943 51.0075i −0.852866 1.86752i
\(747\) −0.913830 + 3.11222i −0.0334353 + 0.113870i
\(748\) 9.96963 33.9535i 0.364526 1.24146i
\(749\) −0.788814 1.72726i −0.0288226 0.0631127i
\(750\) −6.73012 + 30.6424i −0.245749 + 1.11890i
\(751\) 19.7499 22.7925i 0.720682 0.831712i −0.270707 0.962662i \(-0.587257\pi\)
0.991389 + 0.130950i \(0.0418028\pi\)
\(752\) 1.28115 + 0.585082i 0.0467187 + 0.0213357i
\(753\) −9.90375 + 15.4105i −0.360913 + 0.561591i
\(754\) −1.74285 12.1218i −0.0634709 0.441450i
\(755\) 8.34441 + 4.56362i 0.303684 + 0.166087i
\(756\) 22.5661 + 26.0427i 0.820721 + 0.947163i
\(757\) −12.0055 40.8870i −0.436348 1.48606i −0.825241 0.564781i \(-0.808961\pi\)
0.388893 0.921283i \(-0.372858\pi\)
\(758\) 22.1695i 0.805232i
\(759\) 11.0562 13.3925i 0.401313 0.486117i
\(760\) 15.5590 8.48237i 0.564383 0.307688i
\(761\) 34.8771 10.2408i 1.26429 0.371230i 0.420202 0.907430i \(-0.361959\pi\)
0.844091 + 0.536200i \(0.180141\pi\)
\(762\) −23.8080 + 20.6298i −0.862474 + 0.747338i
\(763\) 10.2707 + 15.9815i 0.371824 + 0.578570i
\(764\) 9.50844 + 66.1327i 0.344003 + 2.39260i
\(765\) −12.0783 0.871959i −0.436692 0.0315258i
\(766\) −8.65151 + 18.9442i −0.312592 + 0.684481i
\(767\) 11.7811 + 10.2084i 0.425393 + 0.368605i
\(768\) 22.8883 + 3.29084i 0.825909 + 0.118748i
\(769\) −0.137465 0.301006i −0.00495710 0.0108545i 0.907137 0.420835i \(-0.138263\pi\)
−0.912094 + 0.409980i \(0.865536\pi\)
\(770\) 6.12894 + 28.2651i 0.220872 + 1.01860i
\(771\) 33.0848 + 9.71458i 1.19152 + 0.349862i
\(772\) −22.2730 + 10.1717i −0.801623 + 0.366089i
\(773\) 30.4313 + 4.37536i 1.09454 + 0.157371i 0.665852 0.746084i \(-0.268068\pi\)
0.428684 + 0.903454i \(0.358977\pi\)