Properties

Label 483.2.y.b.4.3
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32550 + 1.86141i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.05374 - 3.04459i) q^{4} +(-0.0837421 + 1.75796i) q^{5} +(1.49644 + 1.72698i) q^{6} +(0.00745284 - 2.64574i) q^{7} +(2.67883 + 0.786576i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-1.32550 + 1.86141i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.05374 - 3.04459i) q^{4} +(-0.0837421 + 1.75796i) q^{5} +(1.49644 + 1.72698i) q^{6} +(0.00745284 - 2.64574i) q^{7} +(2.67883 + 0.786576i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-3.16128 - 2.48606i) q^{10} +(0.920488 + 1.29265i) q^{11} +(-3.20720 + 0.306250i) q^{12} +(-0.0452576 + 0.314774i) q^{13} +(4.91492 + 3.52080i) q^{14} +(1.68867 + 0.495837i) q^{15} +(0.0500524 - 0.0393617i) q^{16} +(4.22965 - 0.815199i) q^{17} +(2.03110 - 1.04710i) q^{18} +(-0.509844 - 0.0982645i) q^{19} +(5.44052 - 1.59748i) q^{20} +(-2.56940 - 0.631000i) q^{21} -3.62625 q^{22} +(2.81332 - 3.88397i) q^{23} +(1.39596 - 2.41788i) q^{24} +(1.89394 + 0.180849i) q^{25} +(-0.525933 - 0.501476i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-8.06305 + 2.76524i) q^{28} +(1.27636 + 1.47300i) q^{29} +(-3.16128 + 2.48606i) q^{30} +(5.23124 - 4.98798i) q^{31} +(0.272614 + 5.72287i) q^{32} +(1.47322 - 0.589789i) q^{33} +(-4.08899 + 8.95365i) q^{34} +(4.65049 + 0.234662i) q^{35} +(-0.458508 + 3.18899i) q^{36} +(6.73990 + 3.47466i) q^{37} +(0.858709 - 0.818778i) q^{38} +(0.295231 + 0.118193i) q^{39} +(-1.60710 + 4.64342i) q^{40} +(4.89683 + 3.14700i) q^{41} +(4.58029 - 3.94631i) q^{42} +(0.302936 - 0.0889501i) q^{43} +(2.96562 - 4.16462i) q^{44} +(0.879979 - 1.52417i) q^{45} +(3.50060 + 10.3849i) q^{46} +(1.27655 + 2.21106i) q^{47} +(-0.0264518 - 0.0579214i) q^{48} +(-6.99989 - 0.0394366i) q^{49} +(-2.84705 + 3.28567i) q^{50} +(0.204959 - 4.30262i) q^{51} +(1.00605 - 0.193900i) q^{52} +(-6.76159 - 2.70693i) q^{53} +(-0.538738 - 2.22071i) q^{54} +(-2.34951 + 1.50994i) q^{55} +(2.10104 - 7.08164i) q^{56} +(-0.215695 + 0.472306i) q^{57} +(-4.43367 + 0.423364i) q^{58} +(0.130832 + 0.102887i) q^{59} +(-0.269799 - 5.66378i) q^{60} +(2.29287 + 9.45134i) q^{61} +(2.35064 + 16.3490i) q^{62} +(-1.21897 + 2.34821i) q^{63} +(-10.9068 - 7.00937i) q^{64} +(-0.549571 - 0.105921i) q^{65} +(-0.854920 + 3.52403i) q^{66} +(-9.13710 - 0.872488i) q^{67} +(-6.93891 - 12.0185i) q^{68} +(-3.11123 - 3.64969i) q^{69} +(-6.60103 + 8.34541i) q^{70} +(-0.869938 - 1.90490i) q^{71} +(-2.02061 - 1.92665i) q^{72} +(-2.59852 - 7.50793i) q^{73} +(-15.4015 + 7.94002i) q^{74} +(0.622264 - 1.79791i) q^{75} +(0.238070 + 1.65581i) q^{76} +(3.42686 - 2.42574i) q^{77} +(-0.611333 + 0.392880i) q^{78} +(10.1952 - 4.08156i) q^{79} +(0.0650049 + 0.0912866i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-12.3486 + 4.94363i) q^{82} +(8.25621 - 5.30595i) q^{83} +(0.786356 + 8.48769i) q^{84} +(1.07889 + 7.50384i) q^{85} +(-0.235970 + 0.681791i) q^{86} +(1.73239 - 0.893110i) q^{87} +(1.44907 + 4.18682i) q^{88} +(-2.39560 - 2.28420i) q^{89} +(1.67068 + 3.65828i) q^{90} +(0.832473 + 0.122086i) q^{91} +(-14.7896 - 4.47268i) q^{92} +(-3.61406 - 6.25974i) q^{93} +(-5.80774 - 0.554572i) q^{94} +(0.215441 - 0.888059i) q^{95} +(5.62582 + 1.08429i) q^{96} +(2.29839 + 1.47709i) q^{97} +(9.35177 - 12.9774i) q^{98} +(-0.225838 - 1.57074i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32550 + 1.86141i −0.937271 + 1.31621i 0.0113960 + 0.999935i \(0.496372\pi\)
−0.948667 + 0.316278i \(0.897567\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) −1.05374 3.04459i −0.526871 1.52229i
\(5\) −0.0837421 + 1.75796i −0.0374506 + 0.786185i 0.899542 + 0.436835i \(0.143901\pi\)
−0.936992 + 0.349350i \(0.886402\pi\)
\(6\) 1.49644 + 1.72698i 0.610918 + 0.705037i
\(7\) 0.00745284 2.64574i 0.00281691 0.999996i
\(8\) 2.67883 + 0.786576i 0.947111 + 0.278097i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −3.16128 2.48606i −0.999686 0.786161i
\(11\) 0.920488 + 1.29265i 0.277538 + 0.389747i 0.929691 0.368340i \(-0.120074\pi\)
−0.652154 + 0.758087i \(0.726134\pi\)
\(12\) −3.20720 + 0.306250i −0.925838 + 0.0884068i
\(13\) −0.0452576 + 0.314774i −0.0125522 + 0.0873025i −0.995135 0.0985251i \(-0.968588\pi\)
0.982582 + 0.185828i \(0.0594966\pi\)
\(14\) 4.91492 + 3.52080i 1.31357 + 0.940975i
\(15\) 1.68867 + 0.495837i 0.436012 + 0.128025i
\(16\) 0.0500524 0.0393617i 0.0125131 0.00984041i
\(17\) 4.22965 0.815199i 1.02584 0.197715i 0.351542 0.936172i \(-0.385658\pi\)
0.674300 + 0.738457i \(0.264445\pi\)
\(18\) 2.03110 1.04710i 0.478734 0.246805i
\(19\) −0.509844 0.0982645i −0.116966 0.0225434i 0.130432 0.991457i \(-0.458364\pi\)
−0.247398 + 0.968914i \(0.579576\pi\)
\(20\) 5.44052 1.59748i 1.21654 0.357207i
\(21\) −2.56940 0.631000i −0.560690 0.137695i
\(22\) −3.62625 −0.773118
\(23\) 2.81332 3.88397i 0.586617 0.809865i
\(24\) 1.39596 2.41788i 0.284950 0.493547i
\(25\) 1.89394 + 0.180849i 0.378787 + 0.0361698i
\(26\) −0.525933 0.501476i −0.103144 0.0983475i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −8.06305 + 2.76524i −1.52377 + 0.522581i
\(29\) 1.27636 + 1.47300i 0.237014 + 0.273529i 0.861779 0.507284i \(-0.169351\pi\)
−0.624765 + 0.780813i \(0.714805\pi\)
\(30\) −3.16128 + 2.48606i −0.577169 + 0.453890i
\(31\) 5.23124 4.98798i 0.939559 0.895867i −0.0551631 0.998477i \(-0.517568\pi\)
0.994722 + 0.102610i \(0.0327194\pi\)
\(32\) 0.272614 + 5.72287i 0.0481918 + 1.01167i
\(33\) 1.47322 0.589789i 0.256455 0.102669i
\(34\) −4.08899 + 8.95365i −0.701257 + 1.53554i
\(35\) 4.65049 + 0.234662i 0.786077 + 0.0396651i
\(36\) −0.458508 + 3.18899i −0.0764179 + 0.531498i
\(37\) 6.73990 + 3.47466i 1.10803 + 0.571231i 0.912340 0.409434i \(-0.134274\pi\)
0.195693 + 0.980665i \(0.437304\pi\)
\(38\) 0.858709 0.818778i 0.139301 0.132823i
\(39\) 0.295231 + 0.118193i 0.0472748 + 0.0189260i
\(40\) −1.60710 + 4.64342i −0.254105 + 0.734189i
\(41\) 4.89683 + 3.14700i 0.764756 + 0.491479i 0.863943 0.503590i \(-0.167988\pi\)
−0.0991865 + 0.995069i \(0.531624\pi\)
\(42\) 4.58029 3.94631i 0.706755 0.608929i
\(43\) 0.302936 0.0889501i 0.0461973 0.0135648i −0.258552 0.965997i \(-0.583245\pi\)
0.304750 + 0.952433i \(0.401427\pi\)
\(44\) 2.96562 4.16462i 0.447083 0.627841i
\(45\) 0.879979 1.52417i 0.131179 0.227209i
\(46\) 3.50060 + 10.3849i 0.516135 + 1.53117i
\(47\) 1.27655 + 2.21106i 0.186204 + 0.322516i 0.943982 0.329998i \(-0.107048\pi\)
−0.757777 + 0.652513i \(0.773715\pi\)
\(48\) −0.0264518 0.0579214i −0.00381799 0.00836023i
\(49\) −6.99989 0.0394366i −0.999984 0.00563380i
\(50\) −2.84705 + 3.28567i −0.402633 + 0.464664i
\(51\) 0.204959 4.30262i 0.0287000 0.602487i
\(52\) 1.00605 0.193900i 0.139514 0.0268890i
\(53\) −6.76159 2.70693i −0.928776 0.371826i −0.142566 0.989785i \(-0.545535\pi\)
−0.786210 + 0.617959i \(0.787960\pi\)
\(54\) −0.538738 2.22071i −0.0733130 0.302200i
\(55\) −2.34951 + 1.50994i −0.316807 + 0.203600i
\(56\) 2.10104 7.08164i 0.280764 0.946324i
\(57\) −0.215695 + 0.472306i −0.0285695 + 0.0625585i
\(58\) −4.43367 + 0.423364i −0.582169 + 0.0555904i
\(59\) 0.130832 + 0.102887i 0.0170329 + 0.0133948i 0.626639 0.779310i \(-0.284430\pi\)
−0.609606 + 0.792704i \(0.708672\pi\)
\(60\) −0.269799 5.66378i −0.0348309 0.731191i
\(61\) 2.29287 + 9.45134i 0.293572 + 1.21012i 0.907260 + 0.420571i \(0.138170\pi\)
−0.613688 + 0.789549i \(0.710315\pi\)
\(62\) 2.35064 + 16.3490i 0.298531 + 2.07633i
\(63\) −1.21897 + 2.34821i −0.153576 + 0.295847i
\(64\) −10.9068 7.00937i −1.36335 0.876172i
\(65\) −0.549571 0.105921i −0.0681659 0.0131379i
\(66\) −0.854920 + 3.52403i −0.105233 + 0.433778i
\(67\) −9.13710 0.872488i −1.11627 0.106591i −0.479428 0.877581i \(-0.659156\pi\)
−0.636847 + 0.770990i \(0.719762\pi\)
\(68\) −6.93891 12.0185i −0.841466 1.45746i
\(69\) −3.11123 3.64969i −0.374548 0.439372i
\(70\) −6.60103 + 8.34541i −0.788974 + 0.997467i
\(71\) −0.869938 1.90490i −0.103243 0.226070i 0.850960 0.525230i \(-0.176021\pi\)
−0.954203 + 0.299160i \(0.903293\pi\)
\(72\) −2.02061 1.92665i −0.238131 0.227058i
\(73\) −2.59852 7.50793i −0.304134 0.878737i −0.988716 0.149801i \(-0.952137\pi\)
0.684582 0.728936i \(-0.259985\pi\)
\(74\) −15.4015 + 7.94002i −1.79039 + 0.923009i
\(75\) 0.622264 1.79791i 0.0718528 0.207605i
\(76\) 0.238070 + 1.65581i 0.0273085 + 0.189935i
\(77\) 3.42686 2.42574i 0.390527 0.276439i
\(78\) −0.611333 + 0.392880i −0.0692199 + 0.0444849i
\(79\) 10.1952 4.08156i 1.14705 0.459211i 0.281270 0.959629i \(-0.409244\pi\)
0.865784 + 0.500417i \(0.166820\pi\)
\(80\) 0.0650049 + 0.0912866i 0.00726776 + 0.0102061i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −12.3486 + 4.94363i −1.36367 + 0.545933i
\(83\) 8.25621 5.30595i 0.906237 0.582403i −0.00239658 0.999997i \(-0.500763\pi\)
0.908634 + 0.417594i \(0.137126\pi\)
\(84\) 0.786356 + 8.48769i 0.0857984 + 0.926083i
\(85\) 1.07889 + 7.50384i 0.117022 + 0.813906i
\(86\) −0.235970 + 0.681791i −0.0254453 + 0.0735194i
\(87\) 1.73239 0.893110i 0.185732 0.0957514i
\(88\) 1.44907 + 4.18682i 0.154471 + 0.446316i
\(89\) −2.39560 2.28420i −0.253933 0.242125i 0.552410 0.833572i \(-0.313708\pi\)
−0.806344 + 0.591447i \(0.798557\pi\)
\(90\) 1.67068 + 3.65828i 0.176105 + 0.385617i
\(91\) 0.832473 + 0.122086i 0.0872668 + 0.0127981i
\(92\) −14.7896 4.47268i −1.54192 0.466309i
\(93\) −3.61406 6.25974i −0.374761 0.649105i
\(94\) −5.80774 0.554572i −0.599023 0.0571998i
\(95\) 0.215441 0.888059i 0.0221038 0.0911129i
\(96\) 5.62582 + 1.08429i 0.574183 + 0.110665i
\(97\) 2.29839 + 1.47709i 0.233367 + 0.149976i 0.652098 0.758134i \(-0.273889\pi\)
−0.418732 + 0.908110i \(0.637525\pi\)
\(98\) 9.35177 12.9774i 0.944671 1.31091i
\(99\) −0.225838 1.57074i −0.0226976 0.157865i
\(100\) −1.44511 5.95683i −0.144511 0.595683i
\(101\) 0.417345 + 8.76116i 0.0415274 + 0.871768i 0.919508 + 0.393071i \(0.128587\pi\)
−0.877981 + 0.478696i \(0.841110\pi\)
\(102\) 7.73724 + 6.08463i 0.766101 + 0.602469i
\(103\) 9.81138 0.936873i 0.966744 0.0923128i 0.400274 0.916396i \(-0.368915\pi\)
0.566470 + 0.824083i \(0.308309\pi\)
\(104\) −0.368831 + 0.807628i −0.0361669 + 0.0791944i
\(105\) 1.32444 4.46408i 0.129252 0.435649i
\(106\) 14.0012 8.99802i 1.35992 0.873965i
\(107\) −3.22676 13.3009i −0.311943 1.28585i −0.884715 0.466131i \(-0.845647\pi\)
0.572773 0.819714i \(-0.305868\pi\)
\(108\) 2.99100 + 1.19742i 0.287809 + 0.115221i
\(109\) −4.39302 + 0.846685i −0.420775 + 0.0810977i −0.395244 0.918576i \(-0.629340\pi\)
−0.0255311 + 0.999674i \(0.508128\pi\)
\(110\) 0.303670 6.37481i 0.0289538 0.607814i
\(111\) 4.96571 5.73073i 0.471324 0.543937i
\(112\) −0.103768 0.132719i −0.00980513 0.0125408i
\(113\) 0.820914 + 1.79755i 0.0772251 + 0.169099i 0.944307 0.329067i \(-0.106734\pi\)
−0.867081 + 0.498166i \(0.834007\pi\)
\(114\) −0.593249 1.02754i −0.0555629 0.0962377i
\(115\) 6.59229 + 5.27096i 0.614734 + 0.491519i
\(116\) 3.13972 5.43816i 0.291516 0.504920i
\(117\) 0.184464 0.259044i 0.0170537 0.0239486i
\(118\) −0.364933 + 0.107154i −0.0335948 + 0.00986432i
\(119\) −2.12528 11.1966i −0.194824 1.02639i
\(120\) 4.13364 + 2.65653i 0.377348 + 0.242507i
\(121\) 2.77412 8.01528i 0.252192 0.728662i
\(122\) −20.6320 8.25980i −1.86793 0.747807i
\(123\) 4.21276 4.01686i 0.379852 0.362188i
\(124\) −20.6987 10.6709i −1.85880 0.958278i
\(125\) −1.72887 + 12.0245i −0.154635 + 1.07551i
\(126\) −2.75523 5.38156i −0.245455 0.479428i
\(127\) 8.54100 18.7022i 0.757892 1.65955i 0.00624898 0.999980i \(-0.498011\pi\)
0.751643 0.659571i \(-0.229262\pi\)
\(128\) 16.8664 6.75227i 1.49079 0.596822i
\(129\) −0.0150228 0.315368i −0.00132269 0.0277666i
\(130\) 0.925619 0.882576i 0.0811822 0.0774070i
\(131\) −12.8268 + 10.0871i −1.12068 + 0.881313i −0.993864 0.110613i \(-0.964719\pi\)
−0.126817 + 0.991926i \(0.540476\pi\)
\(132\) −3.34806 3.86387i −0.291411 0.336306i
\(133\) −0.263782 + 1.34818i −0.0228728 + 0.116902i
\(134\) 13.7353 15.8514i 1.18655 1.36935i
\(135\) −1.27374 1.21451i −0.109626 0.104528i
\(136\) 11.9718 + 1.14316i 1.02657 + 0.0980255i
\(137\) 4.56255 7.90257i 0.389805 0.675162i −0.602618 0.798030i \(-0.705876\pi\)
0.992423 + 0.122868i \(0.0392091\pi\)
\(138\) 10.9175 0.953581i 0.929359 0.0811742i
\(139\) −19.4868 −1.65284 −0.826422 0.563051i \(-0.809628\pi\)
−0.826422 + 0.563051i \(0.809628\pi\)
\(140\) −4.18597 14.4061i −0.353779 1.21754i
\(141\) 2.44969 0.719293i 0.206301 0.0605754i
\(142\) 4.69889 + 0.905637i 0.394322 + 0.0759994i
\(143\) −0.448550 + 0.231244i −0.0375096 + 0.0193376i
\(144\) −0.0625249 + 0.0120507i −0.00521041 + 0.00100422i
\(145\) −2.69636 + 2.12044i −0.223921 + 0.176093i
\(146\) 17.4196 + 5.11487i 1.44166 + 0.423310i
\(147\) −1.68861 + 6.79328i −0.139274 + 0.560300i
\(148\) 3.47679 24.1816i 0.285791 1.98772i
\(149\) −18.6987 + 1.78551i −1.53186 + 0.146275i −0.826645 0.562723i \(-0.809754\pi\)
−0.705211 + 0.708998i \(0.749148\pi\)
\(150\) 2.52183 + 3.54142i 0.205907 + 0.289156i
\(151\) 5.38787 + 4.23707i 0.438459 + 0.344808i 0.812860 0.582459i \(-0.197909\pi\)
−0.374401 + 0.927267i \(0.622152\pi\)
\(152\) −1.28850 0.664266i −0.104511 0.0538791i
\(153\) −4.13301 1.21356i −0.334134 0.0981107i
\(154\) −0.0270258 + 9.59411i −0.00217780 + 0.773115i
\(155\) 8.33061 + 9.61403i 0.669131 + 0.772218i
\(156\) 0.0487506 1.02340i 0.00390317 0.0819377i
\(157\) −4.10615 11.8639i −0.327707 0.946846i −0.981715 0.190358i \(-0.939035\pi\)
0.654008 0.756488i \(-0.273086\pi\)
\(158\) −5.91637 + 24.3876i −0.470681 + 1.94017i
\(159\) −4.22474 + 5.93281i −0.335043 + 0.470502i
\(160\) −10.0834 −0.797165
\(161\) −10.2550 7.47225i −0.808209 0.588896i
\(162\) −2.28512 −0.179536
\(163\) 9.41878 13.2268i 0.737736 1.03600i −0.259788 0.965666i \(-0.583653\pi\)
0.997523 0.0703388i \(-0.0224081\pi\)
\(164\) 4.42133 18.2250i 0.345248 1.42313i
\(165\) 0.913456 + 2.63926i 0.0711125 + 0.205466i
\(166\) −1.06710 + 22.4012i −0.0828231 + 1.73867i
\(167\) 9.02169 + 10.4116i 0.698119 + 0.805673i 0.988497 0.151240i \(-0.0483265\pi\)
−0.290378 + 0.956912i \(0.593781\pi\)
\(168\) −6.38668 3.71138i −0.492743 0.286339i
\(169\) 12.3764 + 3.63403i 0.952029 + 0.279541i
\(170\) −15.3978 7.93810i −1.18095 0.608825i
\(171\) 0.408140 + 0.320965i 0.0312113 + 0.0245448i
\(172\) −0.590033 0.828586i −0.0449896 0.0631791i
\(173\) −7.70747 + 0.735974i −0.585988 + 0.0559551i −0.383840 0.923400i \(-0.625398\pi\)
−0.202149 + 0.979355i \(0.564792\pi\)
\(174\) −0.633847 + 4.40850i −0.0480518 + 0.334208i
\(175\) 0.492595 5.00952i 0.0372367 0.378684i
\(176\) 0.0969533 + 0.0284681i 0.00730813 + 0.00214586i
\(177\) 0.130832 0.102887i 0.00983392 0.00773348i
\(178\) 7.42720 1.43148i 0.556692 0.107294i
\(179\) 0.224604 0.115792i 0.0167877 0.00865467i −0.449812 0.893123i \(-0.648509\pi\)
0.466600 + 0.884468i \(0.345479\pi\)
\(180\) −5.56773 1.07309i −0.414994 0.0799836i
\(181\) −12.5890 + 3.69645i −0.935729 + 0.274755i −0.713834 0.700315i \(-0.753043\pi\)
−0.221896 + 0.975070i \(0.571225\pi\)
\(182\) −1.33069 + 1.38774i −0.0986377 + 0.102866i
\(183\) 9.72548 0.718929
\(184\) 10.5914 8.19163i 0.780812 0.603895i
\(185\) −6.67274 + 11.5575i −0.490590 + 0.849726i
\(186\) 16.4424 + 1.57006i 1.20561 + 0.115122i
\(187\) 4.94711 + 4.71706i 0.361769 + 0.344946i
\(188\) 5.38659 6.21646i 0.392858 0.453382i
\(189\) 1.99464 + 1.73822i 0.145088 + 0.126437i
\(190\) 1.36747 + 1.57815i 0.0992068 + 0.114491i
\(191\) −19.4304 + 15.2802i −1.40594 + 1.10564i −0.426362 + 0.904553i \(0.640205\pi\)
−0.979573 + 0.201087i \(0.935553\pi\)
\(192\) −9.38316 + 8.94683i −0.677172 + 0.645682i
\(193\) 0.488986 + 10.2651i 0.0351980 + 0.738896i 0.945631 + 0.325240i \(0.105445\pi\)
−0.910433 + 0.413656i \(0.864252\pi\)
\(194\) −5.79599 + 2.32036i −0.416128 + 0.166592i
\(195\) −0.232502 + 0.509108i −0.0166498 + 0.0364579i
\(196\) 7.25601 + 21.3533i 0.518287 + 1.52524i
\(197\) −0.182606 + 1.27005i −0.0130101 + 0.0904874i −0.995292 0.0969224i \(-0.969100\pi\)
0.982282 + 0.187410i \(0.0600092\pi\)
\(198\) 3.22314 + 1.66164i 0.229058 + 0.118088i
\(199\) −13.9967 + 13.3459i −0.992202 + 0.946063i −0.998545 0.0539172i \(-0.982829\pi\)
0.00634346 + 0.999980i \(0.497981\pi\)
\(200\) 4.93129 + 1.97419i 0.348695 + 0.139596i
\(201\) −3.00205 + 8.67385i −0.211748 + 0.611806i
\(202\) −16.8613 10.8361i −1.18635 0.762423i
\(203\) 3.90669 3.36594i 0.274196 0.236243i
\(204\) −13.3157 + 3.90983i −0.932283 + 0.273743i
\(205\) −5.94238 + 8.34491i −0.415034 + 0.582834i
\(206\) −11.2611 + 19.5048i −0.784597 + 1.35896i
\(207\) −4.28031 + 2.16308i −0.297502 + 0.150344i
\(208\) 0.0101248 + 0.0175366i 0.000702026 + 0.00121594i
\(209\) −0.342285 0.749499i −0.0236763 0.0518440i
\(210\) 6.55391 + 8.38246i 0.452263 + 0.578445i
\(211\) 11.9649 13.8082i 0.823695 0.950595i −0.175732 0.984438i \(-0.556229\pi\)
0.999427 + 0.0338430i \(0.0107746\pi\)
\(212\) −1.11652 + 23.4387i −0.0766830 + 1.60978i
\(213\) −2.05630 + 0.396319i −0.140895 + 0.0271553i
\(214\) 29.0354 + 11.6240i 1.98482 + 0.794603i
\(215\) 0.131003 + 0.540000i 0.00893430 + 0.0368277i
\(216\) −2.34872 + 1.50943i −0.159810 + 0.102704i
\(217\) −13.1579 13.8777i −0.893217 0.942078i
\(218\) 4.24692 9.29947i 0.287638 0.629839i
\(219\) −7.90892 + 0.755210i −0.534435 + 0.0510324i
\(220\) 7.07291 + 5.56220i 0.476855 + 0.375003i
\(221\) 0.0651791 + 1.36828i 0.00438442 + 0.0920404i
\(222\) 4.08517 + 16.8393i 0.274178 + 1.13018i
\(223\) 0.801684 + 5.57584i 0.0536848 + 0.373386i 0.998898 + 0.0469323i \(0.0149445\pi\)
−0.945213 + 0.326453i \(0.894146\pi\)
\(224\) 15.1433 0.678614i 1.01180 0.0453418i
\(225\) −1.60053 1.02860i −0.106702 0.0685731i
\(226\) −4.43410 0.854602i −0.294952 0.0568473i
\(227\) −4.45096 + 18.3471i −0.295420 + 1.21774i 0.609717 + 0.792619i \(0.291283\pi\)
−0.905137 + 0.425120i \(0.860232\pi\)
\(228\) 1.66526 + 0.159013i 0.110285 + 0.0105309i
\(229\) −2.34374 4.05947i −0.154878 0.268257i 0.778136 0.628095i \(-0.216165\pi\)
−0.933015 + 0.359838i \(0.882832\pi\)
\(230\) −18.5495 + 5.28427i −1.22312 + 0.348434i
\(231\) −1.54945 3.90216i −0.101946 0.256743i
\(232\) 2.26053 + 4.94988i 0.148411 + 0.324975i
\(233\) −21.1415 20.1584i −1.38503 1.32062i −0.893012 0.450032i \(-0.851412\pi\)
−0.492014 0.870587i \(-0.663739\pi\)
\(234\) 0.237678 + 0.686726i 0.0155375 + 0.0448927i
\(235\) −3.99386 + 2.05898i −0.260530 + 0.134313i
\(236\) 0.175386 0.506746i 0.0114167 0.0329863i
\(237\) −1.56289 10.8701i −0.101520 0.706090i
\(238\) 23.6586 + 10.8851i 1.53356 + 0.705579i
\(239\) −19.7975 + 12.7231i −1.28059 + 0.822987i −0.990961 0.134151i \(-0.957169\pi\)
−0.289632 + 0.957138i \(0.593533\pi\)
\(240\) 0.104039 0.0416509i 0.00671568 0.00268855i
\(241\) 11.6248 + 16.3247i 0.748818 + 1.05157i 0.996571 + 0.0827450i \(0.0263687\pi\)
−0.247752 + 0.968823i \(0.579692\pi\)
\(242\) 11.2426 + 15.7880i 0.722701 + 1.01489i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) 26.3593 16.9401i 1.68748 1.08448i
\(245\) 0.655514 12.3022i 0.0418792 0.785962i
\(246\) 1.89299 + 13.1660i 0.120692 + 0.839435i
\(247\) 0.0540054 0.156038i 0.00343628 0.00992849i
\(248\) 17.9370 9.24719i 1.13900 0.587197i
\(249\) −3.20990 9.27441i −0.203419 0.587742i
\(250\) −20.0909 19.1567i −1.27066 1.21157i
\(251\) 1.58191 + 3.46389i 0.0998490 + 0.218639i 0.952964 0.303085i \(-0.0980165\pi\)
−0.853115 + 0.521724i \(0.825289\pi\)
\(252\) 8.43383 + 1.23686i 0.531281 + 0.0779148i
\(253\) 7.61023 + 0.0614659i 0.478451 + 0.00386433i
\(254\) 23.4913 + 40.6880i 1.47397 + 2.55300i
\(255\) 7.54668 + 0.720621i 0.472591 + 0.0451270i
\(256\) −3.67446 + 15.1463i −0.229653 + 0.946645i
\(257\) 13.7283 + 2.64590i 0.856345 + 0.165047i 0.598484 0.801135i \(-0.295770\pi\)
0.257861 + 0.966182i \(0.416982\pi\)
\(258\) 0.606940 + 0.390057i 0.0377864 + 0.0242839i
\(259\) 9.24328 17.8061i 0.574350 1.10642i
\(260\) 0.256620 + 1.78483i 0.0159149 + 0.110691i
\(261\) −0.459508 1.89412i −0.0284428 0.117243i
\(262\) −1.77426 37.2463i −0.109614 2.30108i
\(263\) 4.92550 + 3.87346i 0.303720 + 0.238848i 0.758373 0.651821i \(-0.225994\pi\)
−0.454654 + 0.890668i \(0.650237\pi\)
\(264\) 4.41043 0.421145i 0.271443 0.0259197i
\(265\) 5.32492 11.6600i 0.327107 0.716265i
\(266\) −2.15987 2.27802i −0.132430 0.139675i
\(267\) −2.78460 + 1.78955i −0.170415 + 0.109519i
\(268\) 6.97179 + 28.7381i 0.425870 + 1.75546i
\(269\) −15.3470 6.14403i −0.935726 0.374608i −0.146848 0.989159i \(-0.546913\pi\)
−0.788877 + 0.614551i \(0.789337\pi\)
\(270\) 3.94904 0.761115i 0.240331 0.0463200i
\(271\) −1.14956 + 24.1322i −0.0698307 + 1.46593i 0.643687 + 0.765289i \(0.277404\pi\)
−0.713517 + 0.700638i \(0.752899\pi\)
\(272\) 0.179617 0.207289i 0.0108909 0.0125687i
\(273\) 0.314907 0.780224i 0.0190591 0.0472213i
\(274\) 8.66222 + 18.9676i 0.523304 + 1.14588i
\(275\) 1.50957 + 2.61466i 0.0910307 + 0.157670i
\(276\) −7.83339 + 13.3182i −0.471514 + 0.801664i
\(277\) −2.30565 + 3.99350i −0.138533 + 0.239946i −0.926942 0.375206i \(-0.877572\pi\)
0.788409 + 0.615152i \(0.210905\pi\)
\(278\) 25.8297 36.2728i 1.54916 2.17550i
\(279\) −6.93534 + 2.03640i −0.415208 + 0.121916i
\(280\) 12.2733 + 4.28659i 0.733471 + 0.256173i
\(281\) 5.22882 + 3.36036i 0.311925 + 0.200462i 0.687231 0.726439i \(-0.258826\pi\)
−0.375306 + 0.926901i \(0.622462\pi\)
\(282\) −1.90817 + 5.51329i −0.113630 + 0.328311i
\(283\) 22.0344 + 8.82124i 1.30981 + 0.524368i 0.918329 0.395818i \(-0.129539\pi\)
0.391480 + 0.920187i \(0.371963\pi\)
\(284\) −4.88294 + 4.65587i −0.289749 + 0.276275i
\(285\) −0.812234 0.418736i −0.0481126 0.0248038i
\(286\) 0.164115 1.14145i 0.00970434 0.0674952i
\(287\) 8.36265 12.9323i 0.493631 0.763369i
\(288\) 2.38006 5.21161i 0.140246 0.307097i
\(289\) 1.44317 0.577756i 0.0848921 0.0339857i
\(290\) −0.372974 7.82968i −0.0219018 0.459775i
\(291\) 1.97732 1.88537i 0.115912 0.110522i
\(292\) −20.1204 + 15.8228i −1.17746 + 0.925962i
\(293\) −6.20891 7.16547i −0.362729 0.418611i 0.544823 0.838551i \(-0.316597\pi\)
−0.907552 + 0.419940i \(0.862051\pi\)
\(294\) −10.4068 12.1477i −0.606936 0.708467i
\(295\) −0.191828 + 0.221382i −0.0111687 + 0.0128893i
\(296\) 15.3220 + 14.6095i 0.890572 + 0.849159i
\(297\) −1.57971 0.150844i −0.0916639 0.00875285i
\(298\) 21.4616 37.1725i 1.24324 2.15335i
\(299\) 1.09525 + 1.06134i 0.0633399 + 0.0613787i
\(300\) −6.12961 −0.353893
\(301\) −0.233081 0.802154i −0.0134346 0.0462354i
\(302\) −15.0285 + 4.41278i −0.864795 + 0.253927i
\(303\) 8.61259 + 1.65994i 0.494780 + 0.0953611i
\(304\) −0.0293868 + 0.0151499i −0.00168545 + 0.000868909i
\(305\) −16.8071 + 3.23931i −0.962373 + 0.185482i
\(306\) 7.73724 6.08463i 0.442309 0.347835i
\(307\) 24.2314 + 7.11498i 1.38296 + 0.406073i 0.886798 0.462157i \(-0.152924\pi\)
0.496161 + 0.868231i \(0.334743\pi\)
\(308\) −10.9964 7.87729i −0.626579 0.448850i
\(309\) 1.40266 9.75568i 0.0797943 0.554981i
\(310\) −28.9378 + 2.76323i −1.64356 + 0.156941i
\(311\) −3.62863 5.09569i −0.205761 0.288950i 0.698781 0.715336i \(-0.253726\pi\)
−0.904542 + 0.426385i \(0.859787\pi\)
\(312\) 0.697907 + 0.548840i 0.0395112 + 0.0310720i
\(313\) −18.2470 9.40699i −1.03138 0.531715i −0.142474 0.989799i \(-0.545506\pi\)
−0.888909 + 0.458084i \(0.848536\pi\)
\(314\) 27.5263 + 8.08246i 1.55340 + 0.456119i
\(315\) −4.02599 2.33955i −0.226839 0.131819i
\(316\) −23.1698 26.7394i −1.30340 1.50421i
\(317\) −0.316044 + 6.63458i −0.0177508 + 0.372635i 0.972461 + 0.233064i \(0.0748753\pi\)
−0.990212 + 0.139571i \(0.955428\pi\)
\(318\) −5.44348 15.7279i −0.305255 0.881976i
\(319\) −0.729190 + 3.00576i −0.0408268 + 0.168290i
\(320\) 13.2356 18.5868i 0.739891 1.03903i
\(321\) −13.6867 −0.763917
\(322\) 27.5019 9.18428i 1.53262 0.511820i
\(323\) −2.23657 −0.124446
\(324\) 1.86882 2.62439i 0.103823 0.145799i
\(325\) −0.142642 + 0.587977i −0.00791233 + 0.0326151i
\(326\) 12.1359 + 35.0643i 0.672144 + 1.94203i
\(327\) −0.212875 + 4.46880i −0.0117720 + 0.247125i
\(328\) 10.6424 + 12.2820i 0.587630 + 0.678161i
\(329\) 5.85939 3.36095i 0.323039 0.185295i
\(330\) −6.12352 1.79803i −0.337089 0.0989782i
\(331\) −13.6057 7.01424i −0.747839 0.385538i 0.0417870 0.999127i \(-0.486695\pi\)
−0.789626 + 0.613589i \(0.789725\pi\)
\(332\) −24.8543 19.5457i −1.36406 1.07271i
\(333\) −4.39848 6.17680i −0.241035 0.338487i
\(334\) −31.3384 + 2.99246i −1.71476 + 0.163740i
\(335\) 2.29896 15.9896i 0.125606 0.873607i
\(336\) −0.153442 + 0.0695529i −0.00837095 + 0.00379442i
\(337\) 13.2548 + 3.89196i 0.722036 + 0.212009i 0.622047 0.782980i \(-0.286301\pi\)
0.0999885 + 0.994989i \(0.468119\pi\)
\(338\) −23.1693 + 18.2205i −1.26024 + 0.991067i
\(339\) 1.94042 0.373985i 0.105389 0.0203121i
\(340\) 21.7092 11.1919i 1.17735 0.606966i
\(341\) 11.2630 + 2.17076i 0.609925 + 0.117553i
\(342\) −1.13844 + 0.334275i −0.0615596 + 0.0180755i
\(343\) −0.156508 + 18.5196i −0.00845064 + 0.999964i
\(344\) 0.881482 0.0475263
\(345\) 6.67657 5.16379i 0.359454 0.278009i
\(346\) 8.84632 15.3223i 0.475581 0.823730i
\(347\) −15.5775 1.48747i −0.836243 0.0798515i −0.331857 0.943330i \(-0.607675\pi\)
−0.504386 + 0.863478i \(0.668281\pi\)
\(348\) −4.54465 4.33331i −0.243619 0.232290i
\(349\) −16.2909 + 18.8007i −0.872032 + 1.00638i 0.127862 + 0.991792i \(0.459189\pi\)
−0.999894 + 0.0145863i \(0.995357\pi\)
\(350\) 8.67181 + 7.55704i 0.463528 + 0.403941i
\(351\) −0.208253 0.240336i −0.0111157 0.0128282i
\(352\) −7.14670 + 5.62023i −0.380920 + 0.299559i
\(353\) 10.8271 10.3236i 0.576267 0.549469i −0.344899 0.938640i \(-0.612087\pi\)
0.921166 + 0.389170i \(0.127238\pi\)
\(354\) 0.0180973 + 0.379908i 0.000961859 + 0.0201919i
\(355\) 3.42159 1.36980i 0.181599 0.0727014i
\(356\) −4.43011 + 9.70058i −0.234795 + 0.514130i
\(357\) −11.3821 0.574335i −0.602404 0.0303970i
\(358\) −0.0821781 + 0.571561i −0.00434325 + 0.0302080i
\(359\) 20.8735 + 10.7611i 1.10166 + 0.567947i 0.910457 0.413603i \(-0.135730\pi\)
0.191206 + 0.981550i \(0.438760\pi\)
\(360\) 3.55619 3.39082i 0.187428 0.178712i
\(361\) −17.3887 6.96139i −0.915195 0.366389i
\(362\) 9.80608 28.3328i 0.515396 1.48914i
\(363\) −7.13532 4.58559i −0.374507 0.240681i
\(364\) −0.505510 2.66318i −0.0264959 0.139589i
\(365\) 13.4163 3.93937i 0.702240 0.206196i
\(366\) −12.8911 + 18.1031i −0.673831 + 0.946263i
\(367\) −15.4281 + 26.7223i −0.805343 + 1.39489i 0.110717 + 0.993852i \(0.464685\pi\)
−0.916059 + 0.401043i \(0.868648\pi\)
\(368\) −0.0120664 0.305139i −0.000629004 0.0159065i
\(369\) −2.91044 5.04102i −0.151511 0.262425i
\(370\) −12.6685 27.7402i −0.658605 1.44214i
\(371\) −7.21224 + 17.8692i −0.374441 + 0.927725i
\(372\) −15.2500 + 17.5995i −0.790678 + 0.912491i
\(373\) 0.0264725 0.555727i 0.00137070 0.0287744i −0.998078 0.0619642i \(-0.980264\pi\)
0.999449 + 0.0331898i \(0.0105666\pi\)
\(374\) −15.3378 + 2.95611i −0.793097 + 0.152857i
\(375\) 11.2780 + 4.51503i 0.582393 + 0.233155i
\(376\) 1.68051 + 6.92715i 0.0866657 + 0.357241i
\(377\) −0.521427 + 0.335101i −0.0268548 + 0.0172586i
\(378\) −5.87943 + 1.40881i −0.302405 + 0.0724614i
\(379\) 0.791856 1.73392i 0.0406749 0.0890657i −0.888204 0.459450i \(-0.848047\pi\)
0.928879 + 0.370384i \(0.120774\pi\)
\(380\) −2.93079 + 0.279857i −0.150347 + 0.0143564i
\(381\) −16.1614 12.7095i −0.827973 0.651125i
\(382\) −2.68770 56.4219i −0.137515 2.88679i
\(383\) −5.60016 23.0842i −0.286155 1.17955i −0.915467 0.402393i \(-0.868178\pi\)
0.629312 0.777153i \(-0.283337\pi\)
\(384\) −2.58554 17.9828i −0.131943 0.917682i
\(385\) 3.97739 + 6.22744i 0.202707 + 0.317380i
\(386\) −19.7556 12.6962i −1.00553 0.646218i
\(387\) −0.310020 0.0597514i −0.0157592 0.00303734i
\(388\) 2.07521 8.55414i 0.105353 0.434271i
\(389\) 14.8768 + 1.42056i 0.754283 + 0.0720253i 0.465111 0.885252i \(-0.346014\pi\)
0.289171 + 0.957277i \(0.406620\pi\)
\(390\) −0.639475 1.10760i −0.0323811 0.0560856i
\(391\) 8.73314 18.7213i 0.441654 0.946776i
\(392\) −18.7205 5.61159i −0.945529 0.283428i
\(393\) 6.77872 + 14.8433i 0.341941 + 0.748747i
\(394\) −2.12204 2.02336i −0.106907 0.101935i
\(395\) 6.32146 + 18.2647i 0.318067 + 0.918995i
\(396\) −4.54428 + 2.34274i −0.228359 + 0.117727i
\(397\) −0.414101 + 1.19646i −0.0207831 + 0.0600489i −0.954915 0.296878i \(-0.904054\pi\)
0.934132 + 0.356927i \(0.116176\pi\)
\(398\) −6.28937 43.7435i −0.315258 2.19267i
\(399\) 1.24799 + 0.574193i 0.0624777 + 0.0287456i
\(400\) 0.101915 0.0654965i 0.00509573 0.00327483i
\(401\) 17.6812 7.07847i 0.882956 0.353482i 0.114529 0.993420i \(-0.463464\pi\)
0.768427 + 0.639938i \(0.221040\pi\)
\(402\) −12.1663 17.0852i −0.606801 0.852133i
\(403\) 1.33333 + 1.87240i 0.0664180 + 0.0932710i
\(404\) 26.2343 10.5026i 1.30521 0.522526i
\(405\) −1.48057 + 0.951505i −0.0735701 + 0.0472806i
\(406\) 1.08707 + 11.7335i 0.0539503 + 0.582323i
\(407\) 1.71250 + 11.9107i 0.0848854 + 0.590391i
\(408\) 3.93339 11.3648i 0.194732 0.562640i
\(409\) 3.78325 1.95040i 0.187070 0.0964412i −0.362147 0.932121i \(-0.617956\pi\)
0.549217 + 0.835680i \(0.314926\pi\)
\(410\) −7.65663 22.1224i −0.378134 1.09255i
\(411\) −6.60415 6.29704i −0.325758 0.310610i
\(412\) −13.1911 28.8844i −0.649877 1.42303i
\(413\) 0.273188 0.345380i 0.0134427 0.0169951i
\(414\) 1.64720 10.8346i 0.0809553 0.532490i
\(415\) 8.63627 + 14.9585i 0.423938 + 0.734282i
\(416\) −1.81375 0.173192i −0.0889263 0.00849143i
\(417\) −4.59418 + 18.9375i −0.224978 + 0.927371i
\(418\) 1.84882 + 0.356331i 0.0904288 + 0.0174287i
\(419\) 22.6012 + 14.5249i 1.10414 + 0.709587i 0.960008 0.279971i \(-0.0903250\pi\)
0.144131 + 0.989559i \(0.453961\pi\)
\(420\) −14.9869 + 0.671607i −0.731286 + 0.0327711i
\(421\) 2.37179 + 16.4961i 0.115594 + 0.803973i 0.962315 + 0.271936i \(0.0876640\pi\)
−0.846722 + 0.532036i \(0.821427\pi\)
\(422\) 9.84320 + 40.5742i 0.479160 + 1.97512i
\(423\) −0.121482 2.55021i −0.00590664 0.123996i
\(424\) −15.9840 12.5699i −0.776250 0.610450i
\(425\) 8.15812 0.779006i 0.395727 0.0377874i
\(426\) 1.98791 4.35292i 0.0963147 0.210900i
\(427\) 25.0229 5.99590i 1.21094 0.290162i
\(428\) −37.0956 + 23.8399i −1.79308 + 1.15234i
\(429\) 0.118976 + 0.490424i 0.00574419 + 0.0236779i
\(430\) −1.17880 0.471921i −0.0568469 0.0227581i
\(431\) 14.4588 2.78670i 0.696454 0.134230i 0.171276 0.985223i \(-0.445211\pi\)
0.525178 + 0.850993i \(0.323999\pi\)
\(432\) −0.00302981 + 0.0636035i −0.000145772 + 0.00306012i
\(433\) −7.01147 + 8.09166i −0.336950 + 0.388861i −0.898786 0.438388i \(-0.855550\pi\)
0.561836 + 0.827248i \(0.310095\pi\)
\(434\) 43.2728 6.09733i 2.07716 0.292681i
\(435\) 1.42498 + 3.12027i 0.0683226 + 0.149606i
\(436\) 7.20691 + 12.4827i 0.345149 + 0.597815i
\(437\) −1.81601 + 1.70377i −0.0868715 + 0.0815025i
\(438\) 9.07753 15.7227i 0.433741 0.751261i
\(439\) 10.5637 14.8347i 0.504180 0.708022i −0.481538 0.876425i \(-0.659922\pi\)
0.985718 + 0.168403i \(0.0538611\pi\)
\(440\) −7.48162 + 2.19680i −0.356672 + 0.104728i
\(441\) 6.20368 + 3.24259i 0.295413 + 0.154409i
\(442\) −2.63332 1.69233i −0.125254 0.0804959i
\(443\) 3.48946 10.0821i 0.165789 0.479017i −0.831251 0.555897i \(-0.812375\pi\)
0.997040 + 0.0768803i \(0.0244959\pi\)
\(444\) −22.6803 9.07982i −1.07636 0.430909i
\(445\) 4.21616 4.02010i 0.199865 0.190571i
\(446\) −11.4415 5.89852i −0.541772 0.279303i
\(447\) −2.67321 + 18.5926i −0.126438 + 0.879397i
\(448\) −18.6263 + 28.8043i −0.880009 + 1.36088i
\(449\) 8.16741 17.8841i 0.385444 0.844004i −0.613097 0.790007i \(-0.710077\pi\)
0.998541 0.0539968i \(-0.0171961\pi\)
\(450\) 4.03614 1.61583i 0.190265 0.0761708i
\(451\) 0.439519 + 9.22664i 0.0206961 + 0.434466i
\(452\) 4.60777 4.39350i 0.216731 0.206653i
\(453\) 5.38787 4.23707i 0.253144 0.199075i
\(454\) −28.2516 32.6041i −1.32591 1.53019i
\(455\) −0.284336 + 1.45323i −0.0133299 + 0.0681286i
\(456\) −0.949316 + 1.09557i −0.0444558 + 0.0513047i
\(457\) 21.7760 + 20.7634i 1.01864 + 0.971271i 0.999592 0.0285479i \(-0.00908832\pi\)
0.0190469 + 0.999819i \(0.493937\pi\)
\(458\) 10.6629 + 1.01819i 0.498247 + 0.0475768i
\(459\) −2.15375 + 3.73040i −0.100528 + 0.174120i
\(460\) 9.10132 25.6250i 0.424351 1.19477i
\(461\) 18.4613 0.859830 0.429915 0.902869i \(-0.358544\pi\)
0.429915 + 0.902869i \(0.358544\pi\)
\(462\) 9.31729 + 2.28816i 0.433480 + 0.106455i
\(463\) −21.4928 + 6.31086i −0.998855 + 0.293290i −0.739986 0.672622i \(-0.765168\pi\)
−0.258869 + 0.965912i \(0.583350\pi\)
\(464\) 0.121865 + 0.0234875i 0.00565742 + 0.00109038i
\(465\) 11.3070 5.82919i 0.524352 0.270322i
\(466\) 65.5460 12.6330i 3.03636 0.585211i
\(467\) 15.3570 12.0769i 0.710637 0.558851i −0.196082 0.980588i \(-0.562822\pi\)
0.906718 + 0.421737i \(0.138579\pi\)
\(468\) −0.983060 0.288652i −0.0454420 0.0133430i
\(469\) −2.37647 + 24.1679i −0.109735 + 1.11597i
\(470\) 1.46127 10.1634i 0.0674034 0.468801i
\(471\) −12.4976 + 1.19337i −0.575858 + 0.0549878i
\(472\) 0.269548 + 0.378527i 0.0124069 + 0.0174231i
\(473\) 0.393830 + 0.309712i 0.0181083 + 0.0142406i
\(474\) 22.3053 + 11.4992i 1.02452 + 0.528175i
\(475\) −0.947842 0.278312i −0.0434900 0.0127698i
\(476\) −31.8497 + 18.2690i −1.45983 + 0.837358i
\(477\) 4.76955 + 5.50436i 0.218383 + 0.252027i
\(478\) 2.55879 53.7156i 0.117036 2.45689i
\(479\) 11.7130 + 33.8426i 0.535182 + 1.54631i 0.810969 + 0.585089i \(0.198940\pi\)
−0.275787 + 0.961219i \(0.588939\pi\)
\(480\) −2.37726 + 9.79919i −0.108506 + 0.447270i
\(481\) −1.39876 + 1.96429i −0.0637782 + 0.0895639i
\(482\) −45.7956 −2.08593
\(483\) −9.67933 + 8.20430i −0.440425 + 0.373308i
\(484\) −27.3264 −1.24211
\(485\) −2.78914 + 3.91680i −0.126648 + 0.177853i
\(486\) −0.538738 + 2.22071i −0.0244377 + 0.100733i
\(487\) −5.11924 14.7911i −0.231975 0.670248i −0.999570 0.0293128i \(-0.990668\pi\)
0.767595 0.640935i \(-0.221453\pi\)
\(488\) −1.29198 + 27.1221i −0.0584854 + 1.22776i
\(489\) −10.6334 12.2716i −0.480860 0.554942i
\(490\) 22.0306 + 17.5268i 0.995241 + 0.791781i
\(491\) −32.6820 9.59630i −1.47492 0.433075i −0.557223 0.830363i \(-0.688133\pi\)
−0.917694 + 0.397288i \(0.869951\pi\)
\(492\) −16.6689 8.59339i −0.751490 0.387420i
\(493\) 6.59935 + 5.18979i 0.297220 + 0.233736i
\(494\) 0.218867 + 0.307355i 0.00984728 + 0.0138286i
\(495\) 2.78022 0.265479i 0.124962 0.0119324i
\(496\) 0.0655012 0.455571i 0.00294109 0.0204557i
\(497\) −5.04635 + 2.28743i −0.226360 + 0.102605i
\(498\) 21.5182 + 6.31830i 0.964252 + 0.283130i
\(499\) 18.6988 14.7049i 0.837072 0.658281i −0.104711 0.994503i \(-0.533392\pi\)
0.941783 + 0.336222i \(0.109149\pi\)
\(500\) 38.4316 7.40708i 1.71871 0.331255i
\(501\) 12.2450 6.31276i 0.547068 0.282033i
\(502\) −8.54452 1.64682i −0.381361 0.0735012i
\(503\) −36.1168 + 10.6049i −1.61037 + 0.472847i −0.958407 0.285404i \(-0.907872\pi\)
−0.651963 + 0.758251i \(0.726054\pi\)
\(504\) −5.11247 + 5.33166i −0.227728 + 0.237491i
\(505\) −15.4367 −0.686926
\(506\) −10.2018 + 14.0842i −0.453524 + 0.626121i
\(507\) 6.44943 11.1707i 0.286429 0.496110i
\(508\) −65.9405 6.29655i −2.92564 0.279364i
\(509\) −10.8226 10.3193i −0.479703 0.457396i 0.411229 0.911532i \(-0.365100\pi\)
−0.890932 + 0.454136i \(0.849948\pi\)
\(510\) −11.3445 + 13.0922i −0.502343 + 0.579735i
\(511\) −19.8834 + 6.81906i −0.879590 + 0.301657i
\(512\) 0.471746 + 0.544424i 0.0208484 + 0.0240604i
\(513\) 0.408140 0.320965i 0.0180198 0.0141710i
\(514\) −23.1219 + 22.0467i −1.01986 + 0.972439i
\(515\) 0.825363 + 17.3265i 0.0363698 + 0.763497i
\(516\) −0.944335 + 0.378055i −0.0415720 + 0.0166429i
\(517\) −1.68306 + 3.68538i −0.0740208 + 0.162083i
\(518\) 20.8925 + 40.8075i 0.917962 + 1.79298i
\(519\) −1.10188 + 7.66372i −0.0483670 + 0.336400i
\(520\) −1.38889 0.716025i −0.0609070 0.0313998i
\(521\) −28.7201 + 27.3846i −1.25825 + 1.19974i −0.288002 + 0.957630i \(0.592991\pi\)
−0.970249 + 0.242109i \(0.922161\pi\)
\(522\) 4.13480 + 1.65532i 0.180975 + 0.0724515i
\(523\) 1.28736 3.71958i 0.0562922 0.162646i −0.913349 0.407177i \(-0.866513\pi\)
0.969641 + 0.244532i \(0.0786343\pi\)
\(524\) 44.2272 + 28.4231i 1.93207 + 1.24167i
\(525\) −4.75217 1.65975i −0.207402 0.0724373i
\(526\) −13.7388 + 4.03409i −0.599042 + 0.175895i
\(527\) 18.0601 25.3619i 0.786712 1.10478i
\(528\) 0.0505232 0.0875088i 0.00219874 0.00380833i
\(529\) −7.17051 21.8537i −0.311761 0.950160i
\(530\) 14.6457 + 25.3671i 0.636169 + 1.10188i
\(531\) −0.0691423 0.151400i −0.00300052 0.00657022i
\(532\) 4.38262 0.617531i 0.190011 0.0267733i
\(533\) −1.21221 + 1.39897i −0.0525068 + 0.0605960i
\(534\) 0.359904 7.55532i 0.0155746 0.326951i
\(535\) 23.6527 4.55868i 1.02260 0.197089i
\(536\) −23.7905 9.52428i −1.02759 0.411386i
\(537\) −0.0595751 0.245572i −0.00257086 0.0105972i
\(538\) 31.7790 20.4232i 1.37009 0.880505i
\(539\) −6.39234 9.08467i −0.275338 0.391305i
\(540\) −2.35549 + 5.15780i −0.101364 + 0.221956i
\(541\) −29.4260 + 2.80985i −1.26512 + 0.120805i −0.705960 0.708252i \(-0.749484\pi\)
−0.559165 + 0.829057i \(0.688878\pi\)
\(542\) −43.3961 34.1271i −1.86402 1.46588i
\(543\) 0.624295 + 13.1056i 0.0267911 + 0.562413i
\(544\) 5.81834 + 23.9835i 0.249459 + 1.02828i
\(545\) −1.12056 7.79367i −0.0479995 0.333844i
\(546\) 1.03490 + 1.62036i 0.0442897 + 0.0693449i
\(547\) −12.5402 8.05908i −0.536179 0.344582i 0.244364 0.969684i \(-0.421421\pi\)
−0.780543 + 0.625102i \(0.785057\pi\)
\(548\) −28.8678 5.56382i −1.23317 0.237674i
\(549\) 2.29287 9.45134i 0.0978573 0.403373i
\(550\) −6.86788 0.655803i −0.292847 0.0279635i
\(551\) −0.506002 0.876421i −0.0215564 0.0373368i
\(552\) −5.46369 12.2241i −0.232550 0.520294i
\(553\) −10.7228 27.0044i −0.455978 1.14834i
\(554\) −4.37739 9.58514i −0.185977 0.407233i
\(555\) 9.65858 + 9.20944i 0.409984 + 0.390919i
\(556\) 20.5340 + 59.3291i 0.870836 + 2.51612i
\(557\) −16.5254 + 8.51946i −0.700206 + 0.360981i −0.771285 0.636490i \(-0.780386\pi\)
0.0710797 + 0.997471i \(0.477356\pi\)
\(558\) 5.40223 15.6087i 0.228695 0.660770i
\(559\) 0.0142890 + 0.0993821i 0.000604360 + 0.00420341i
\(560\) 0.242005 0.171306i 0.0102266 0.00723899i
\(561\) 5.75042 3.69557i 0.242783 0.156027i
\(562\) −13.1858 + 5.27879i −0.556209 + 0.222672i
\(563\) −9.83457 13.8107i −0.414478 0.582052i 0.553575 0.832799i \(-0.313263\pi\)
−0.968053 + 0.250747i \(0.919324\pi\)
\(564\) −4.77129 6.70034i −0.200908 0.282135i
\(565\) −3.22878 + 1.29261i −0.135836 + 0.0543804i
\(566\) −45.6265 + 29.3224i −1.91783 + 1.23251i
\(567\) 2.15948 1.52861i 0.0906896 0.0641956i
\(568\) −0.832070 5.78718i −0.0349129 0.242825i
\(569\) 7.40500 21.3953i 0.310434 0.896939i −0.676589 0.736361i \(-0.736543\pi\)
0.987023 0.160579i \(-0.0513360\pi\)
\(570\) 1.85605 0.956862i 0.0777416 0.0400786i
\(571\) 15.0114 + 43.3725i 0.628206 + 1.81508i 0.577533 + 0.816367i \(0.304015\pi\)
0.0506728 + 0.998715i \(0.483863\pi\)
\(572\) 1.17670 + 1.12198i 0.0492002 + 0.0469123i
\(573\) 10.2686 + 22.4852i 0.428978 + 0.939331i
\(574\) 12.9875 + 32.7080i 0.542089 + 1.36521i
\(575\) 6.03065 6.84721i 0.251496 0.285549i
\(576\) 6.48247 + 11.2280i 0.270103 + 0.467832i
\(577\) −37.2063 3.55277i −1.54892 0.147904i −0.714736 0.699395i \(-0.753453\pi\)
−0.834181 + 0.551491i \(0.814059\pi\)
\(578\) −0.837479 + 3.45213i −0.0348345 + 0.143590i
\(579\) 10.0910 + 1.94488i 0.419368 + 0.0808265i
\(580\) 9.29715 + 5.97492i 0.386043 + 0.248095i
\(581\) −13.9766 21.8833i −0.579848 0.907874i
\(582\) 0.888500 + 6.17965i 0.0368295 + 0.256155i
\(583\) −2.72486 11.2320i −0.112852 0.465184i
\(584\) −1.05544 22.1564i −0.0436745 0.916840i
\(585\) 0.439942 + 0.345974i 0.0181894 + 0.0143043i
\(586\) 21.5678 2.05947i 0.890956 0.0850760i
\(587\) 2.76184 6.04758i 0.113993 0.249610i −0.844033 0.536291i \(-0.819825\pi\)
0.958026 + 0.286681i \(0.0925521\pi\)
\(588\) 22.4621 2.01724i 0.926321 0.0831894i
\(589\) −3.15726 + 2.02905i −0.130093 + 0.0836055i
\(590\) −0.157812 0.650512i −0.00649703 0.0267811i
\(591\) 1.19120 + 0.476884i 0.0489994 + 0.0196164i
\(592\) 0.474117 0.0913785i 0.0194861 0.00375563i
\(593\) −0.170075 + 3.57032i −0.00698416 + 0.146616i 0.992682 + 0.120761i \(0.0385336\pi\)
−0.999666 + 0.0258542i \(0.991769\pi\)
\(594\) 2.37469 2.74053i 0.0974345 0.112445i
\(595\) 19.8613 2.79854i 0.814233 0.114729i
\(596\) 25.1397 + 55.0483i 1.02976 + 2.25487i
\(597\) 9.66980 + 16.7486i 0.395759 + 0.685474i
\(598\) −3.42733 + 0.631899i −0.140154 + 0.0258403i
\(599\) 19.8251 34.3381i 0.810033 1.40302i −0.102808 0.994701i \(-0.532783\pi\)
0.912840 0.408316i \(-0.133884\pi\)
\(600\) 3.08114 4.32685i 0.125787 0.176643i
\(601\) −6.17713 + 1.81377i −0.251971 + 0.0739852i −0.405279 0.914193i \(-0.632825\pi\)
0.153308 + 0.988178i \(0.451007\pi\)
\(602\) 1.80208 + 0.629397i 0.0734474 + 0.0256523i
\(603\) 7.72158 + 4.96236i 0.314447 + 0.202083i
\(604\) 7.22270 20.8686i 0.293888 0.849133i
\(605\) 13.8583 + 5.54801i 0.563418 + 0.225559i
\(606\) −14.5058 + 13.8313i −0.589258 + 0.561857i
\(607\) 9.41820 + 4.85542i 0.382273 + 0.197075i 0.638643 0.769503i \(-0.279496\pi\)
−0.256370 + 0.966579i \(0.582526\pi\)
\(608\) 0.423364 2.94456i 0.0171697 0.119418i
\(609\) −2.35003 4.59011i −0.0952278 0.186001i
\(610\) 16.2482 35.5786i 0.657870 1.44053i
\(611\) −0.753756 + 0.301758i −0.0304937 + 0.0122078i
\(612\) 0.660333 + 13.8621i 0.0266924 + 0.560342i
\(613\) −30.2021 + 28.7977i −1.21985 + 1.16313i −0.238453 + 0.971154i \(0.576640\pi\)
−0.981400 + 0.191973i \(0.938511\pi\)
\(614\) −45.3626 + 35.6735i −1.83069 + 1.43967i
\(615\) 6.70871 + 7.74227i 0.270521 + 0.312198i
\(616\) 11.0880 3.80266i 0.446749 0.153214i
\(617\) 12.5822 14.5206i 0.506539 0.584577i −0.443670 0.896190i \(-0.646324\pi\)
0.950209 + 0.311613i \(0.100869\pi\)
\(618\) 16.3001 + 15.5421i 0.655685 + 0.625194i
\(619\) 2.41465 + 0.230571i 0.0970529 + 0.00926742i 0.143469 0.989655i \(-0.454174\pi\)
−0.0464166 + 0.998922i \(0.514780\pi\)
\(620\) 20.4925 35.4940i 0.822997 1.42547i
\(621\) 1.09298 + 4.66962i 0.0438598 + 0.187386i
\(622\) 14.2949 0.573173
\(623\) −6.06126 + 6.32112i −0.242839 + 0.253250i
\(624\) 0.0194293 0.00570495i 0.000777794 0.000228381i
\(625\) −11.6531 2.24595i −0.466123 0.0898379i
\(626\) 41.6967 21.4961i 1.66653 0.859158i
\(627\) −0.809069 + 0.155935i −0.0323111 + 0.00622745i
\(628\) −31.7940 + 25.0031i −1.26872 + 0.997732i
\(629\) 31.3400 + 9.20225i 1.24961 + 0.366918i
\(630\) 9.69132 4.39293i 0.386111 0.175018i
\(631\) 0.393474 2.73667i 0.0156639 0.108945i −0.980489 0.196572i \(-0.937019\pi\)
0.996153 + 0.0876266i \(0.0279282\pi\)
\(632\) 30.5218 2.91448i 1.21409 0.115932i
\(633\) −10.5981 14.8830i −0.421238 0.591546i
\(634\) −11.9307 9.38243i −0.473830 0.372624i
\(635\) 32.1625 + 16.5809i 1.27633 + 0.657994i
\(636\) 22.5147 + 6.61093i 0.892768 + 0.262140i
\(637\) 0.329212 2.20160i 0.0130439 0.0872304i
\(638\) −4.62840 5.34146i −0.183240 0.211470i
\(639\) −0.0996432 + 2.09177i −0.00394183 + 0.0827491i
\(640\) 10.4578 + 30.2159i 0.413382 + 1.19439i
\(641\) −2.34301 + 9.65801i −0.0925433 + 0.381469i −0.999182 0.0404393i \(-0.987124\pi\)
0.906639 + 0.421908i \(0.138639\pi\)
\(642\) 18.1417 25.4765i 0.715997 1.00548i
\(643\) 13.7507 0.542274 0.271137 0.962541i \(-0.412600\pi\)
0.271137 + 0.962541i \(0.412600\pi\)
\(644\) −11.9438 + 39.0961i −0.470651 + 1.54060i
\(645\) 0.555663 0.0218792
\(646\) 2.96458 4.16317i 0.116640 0.163798i
\(647\) 9.74499 40.1694i 0.383115 1.57922i −0.374951 0.927044i \(-0.622341\pi\)
0.758066 0.652177i \(-0.226144\pi\)
\(648\) 0.913150 + 2.63837i 0.0358719 + 0.103645i
\(649\) −0.0125676 + 0.263826i −0.000493320 + 0.0103561i
\(650\) −0.905392 1.04488i −0.0355124 0.0409835i
\(651\) −16.5886 + 9.51522i −0.650158 + 0.372931i
\(652\) −50.1952 14.7386i −1.96580 0.577210i
\(653\) −25.9944 13.4010i −1.01724 0.524423i −0.132832 0.991139i \(-0.542407\pi\)
−0.884408 + 0.466715i \(0.845437\pi\)
\(654\) −8.03608 6.31964i −0.314236 0.247118i
\(655\) −16.6586 23.3937i −0.650905 0.914069i
\(656\) 0.368969 0.0352323i 0.0144058 0.00137559i
\(657\) −1.13068 + 7.86403i −0.0441119 + 0.306805i
\(658\) −1.51054 + 15.3616i −0.0588869 + 0.598859i
\(659\) −16.0805 4.72166i −0.626408 0.183930i −0.0469038 0.998899i \(-0.514935\pi\)
−0.579504 + 0.814970i \(0.696754\pi\)
\(660\) 7.07291 5.56220i 0.275313 0.216508i
\(661\) −6.98945 + 1.34711i −0.271858 + 0.0523963i −0.323358 0.946277i \(-0.604812\pi\)
0.0515001 + 0.998673i \(0.483600\pi\)
\(662\) 31.0908 16.0284i 1.20838 0.622962i
\(663\) 1.34508 + 0.259242i 0.0522384 + 0.0100681i
\(664\) 26.2906 7.71960i 1.02027 0.299579i
\(665\) −2.34797 0.576619i −0.0910503 0.0223603i
\(666\) 17.3277 0.671436
\(667\) 9.31190 0.813341i 0.360558 0.0314927i
\(668\) 22.1925 38.4385i 0.858652 1.48723i
\(669\) 5.60767 + 0.535467i 0.216805 + 0.0207024i
\(670\) 26.7159 + 25.4736i 1.03213 + 0.984130i
\(671\) −10.1067 + 11.6637i −0.390164 + 0.450273i
\(672\) 2.91067 14.8764i 0.112282 0.573869i
\(673\) 17.8248 + 20.5710i 0.687097 + 0.792952i 0.986949 0.161034i \(-0.0514828\pi\)
−0.299852 + 0.953986i \(0.596937\pi\)
\(674\) −24.8138 + 19.5138i −0.955791 + 0.751643i
\(675\) −1.37694 + 1.31291i −0.0529985 + 0.0505340i
\(676\) −1.97738 41.5103i −0.0760531 1.59655i
\(677\) −45.3567 + 18.1581i −1.74320 + 0.697872i −0.743629 + 0.668593i \(0.766897\pi\)
−0.999571 + 0.0292795i \(0.990679\pi\)
\(678\) −1.87589 + 4.10763i −0.0720431 + 0.157752i
\(679\) 3.92512 6.06995i 0.150632 0.232943i
\(680\) −3.01218 + 20.9502i −0.115512 + 0.803403i
\(681\) 16.7806 + 8.65098i 0.643033 + 0.331506i
\(682\) −18.9698 + 18.0876i −0.726390 + 0.692611i
\(683\) −45.4689 18.2030i −1.73982 0.696518i −0.999711 0.0240299i \(-0.992350\pi\)
−0.740108 0.672489i \(-0.765225\pi\)
\(684\) 0.547132 1.58083i 0.0209201 0.0604447i
\(685\) 13.5103 + 8.68257i 0.516204 + 0.331744i
\(686\) −34.2650 24.8391i −1.30825 0.948360i
\(687\) −4.49760 + 1.32061i −0.171594 + 0.0503846i
\(688\) 0.0116615 0.0163762i 0.000444589 0.000624338i
\(689\) 1.15809 2.00586i 0.0441195 0.0764173i
\(690\) 0.762106 + 19.2724i 0.0290129 + 0.733688i
\(691\) −3.93070 6.80816i −0.149531 0.258995i 0.781523 0.623876i \(-0.214443\pi\)
−0.931054 + 0.364881i \(0.881110\pi\)
\(692\) 10.3624 + 22.6906i 0.393920 + 0.862565i
\(693\) −4.15746 + 0.585804i −0.157929 + 0.0222528i
\(694\) 23.4168 27.0244i 0.888888 1.02583i
\(695\) 1.63186 34.2570i 0.0619001 1.29944i
\(696\) 5.34329 1.02983i 0.202537 0.0390358i
\(697\) 23.2773 + 9.31884i 0.881692 + 0.352976i
\(698\) −13.4021 55.2443i −0.507278 2.09103i
\(699\) −24.5744 + 15.7930i −0.929491 + 0.597348i
\(700\) −15.7710 + 3.77899i −0.596087 + 0.142832i
\(701\) 17.3948 38.0892i 0.656991 1.43861i −0.228309 0.973589i \(-0.573320\pi\)
0.885300 0.465021i \(-0.153953\pi\)
\(702\) 0.723403 0.0690766i 0.0273031 0.00260713i
\(703\) −3.09487 2.43383i −0.116725 0.0917936i
\(704\) −0.978949 20.5507i −0.0368955 0.774532i
\(705\) 1.05935 + 4.36670i 0.0398974 + 0.164459i
\(706\) 4.86510 + 33.8375i 0.183100 + 1.27349i
\(707\) 23.1829 1.03889i 0.871881 0.0390716i
\(708\) −0.451112 0.289912i −0.0169538 0.0108956i
\(709\) 8.84327 + 1.70440i 0.332116 + 0.0640101i 0.352583 0.935780i \(-0.385303\pi\)
−0.0204674 + 0.999791i \(0.506515\pi\)
\(710\) −1.98557 + 8.18464i −0.0745172 + 0.307164i
\(711\) −10.9322 1.04390i −0.409988 0.0391491i
\(712\) −4.62072 8.00332i −0.173169 0.299937i
\(713\) −4.65604 34.3508i −0.174370 1.28645i
\(714\) 16.1560 20.4254i 0.604624 0.764401i
\(715\) −0.368955 0.807899i −0.0137981 0.0302137i
\(716\) −0.589213 0.561813i −0.0220199 0.0209959i
\(717\) 7.69700 + 22.2390i 0.287450 + 0.830531i
\(718\) −47.6986 + 24.5903i −1.78010 + 0.917703i
\(719\) −12.1233 + 35.0280i −0.452123 + 1.30632i 0.456878 + 0.889529i \(0.348968\pi\)
−0.909001 + 0.416794i \(0.863154\pi\)
\(720\) −0.0159487 0.110926i −0.000594373 0.00413396i
\(721\) −2.40560 25.9653i −0.0895892 0.967000i
\(722\) 36.0067 23.1401i 1.34003 0.861186i
\(723\) 18.6052 7.44840i 0.691935 0.277009i
\(724\) 24.5197 + 34.4331i 0.911267 + 1.27970i
\(725\) 2.15096 + 3.02060i 0.0798845 + 0.112182i
\(726\) 17.9935 7.20352i 0.667802 0.267348i
\(727\) 25.9444 16.6734i 0.962223 0.618383i 0.0376109 0.999292i \(-0.488025\pi\)
0.924613 + 0.380909i \(0.124389\pi\)
\(728\) 2.13403 + 0.981851i 0.0790922 + 0.0363898i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −10.4505 + 30.1948i −0.386791 + 1.11756i
\(731\) 1.20880 0.623182i 0.0447092 0.0230492i
\(732\) −10.2482 29.6101i −0.378783 1.09442i
\(733\) 0.574180 + 0.547479i 0.0212078 + 0.0202216i 0.700609 0.713546i \(-0.252912\pi\)
−0.679401 + 0.733767i \(0.737760\pi\)
\(734\) −29.2911 64.1385i −1.08115 2.36740i
\(735\) −11.8009 3.53740i −0.435284 0.130479i
\(736\) 22.9944 + 15.0414i 0.847586 + 0.554434i
\(737\) −7.28278 12.6141i −0.268265 0.464648i
\(738\) 13.2412 + 1.26438i 0.487414 + 0.0465424i
\(739\) 1.54876 6.38409i 0.0569722 0.234843i −0.936206 0.351453i \(-0.885688\pi\)
0.993178 + 0.116610i \(0.0372029\pi\)
\(740\) 42.2193 + 8.13709i 1.55201 + 0.299126i
\(741\) −0.138908 0.0892706i −0.00510290 0.00327944i
\(742\) −23.7021 37.1106i −0.870131 1.36237i
\(743\) 1.79652 + 12.4951i 0.0659081 + 0.458401i 0.995873 + 0.0907536i \(0.0289276\pi\)
−0.929965 + 0.367647i \(0.880163\pi\)
\(744\) −4.75771 19.6115i −0.174426 0.718994i
\(745\) −1.57299 33.0211i −0.0576299 1.20980i
\(746\) 0.999344 + 0.785893i 0.0365886 + 0.0287736i
\(747\) −9.76974 + 0.932897i −0.357456 + 0.0341329i
\(748\) 9.14853 20.0325i 0.334503 0.732460i
\(749\) −35.2148 + 8.43804i −1.28672 + 0.308319i
\(750\) −23.3533 + 15.0082i −0.852742 + 0.548024i
\(751\) 0.707555 + 2.91658i 0.0258190 + 0.106428i 0.983263 0.182191i \(-0.0583191\pi\)
−0.957444 + 0.288619i \(0.906804\pi\)
\(752\) 0.150925 + 0.0604214i 0.00550368 + 0.00220334i
\(753\) 3.73920 0.720671i 0.136264 0.0262627i
\(754\) 0.0673935 1.41476i 0.00245432 0.0515226i
\(755\) −7.89980 + 9.11686i −0.287503 + 0.331797i
\(756\) 3.19034 7.90449i 0.116032 0.287483i
\(757\) 14.3289 + 31.3758i 0.520791 + 1.14037i 0.969139 + 0.246514i \(0.0792852\pi\)
−0.448348 + 0.893859i \(0.647988\pi\)
\(758\) 2.17793 + 3.77228i 0.0791059 + 0.137015i
\(759\) 1.85391 7.38121i 0.0672927 0.267921i
\(760\) 1.27566 2.20950i 0.0462729 0.0801471i
\(761\) 8.61014 12.0913i 0.312118 0.438308i −0.628483 0.777823i \(-0.716324\pi\)
0.940600 + 0.339516i \(0.110263\pi\)
\(762\) 45.0794 13.2365i 1.63305 0.479508i
\(763\) 2.20737 + 11.6291i 0.0799121 + 0.421001i
\(764\) 66.9967 + 43.0562i 2.42386 + 1.55772i
\(765\) 2.47950 7.16406i 0.0896467 0.259017i
\(766\) 50.3920 + 20.1739i 1.82074 + 0.728913i
\(767\) −0.0383074 + 0.0365260i −0.00138320 + 0.00131888i
\(768\) 13.8531 + 7.14176i 0.499880 + 0.257706i
\(769\) −6.57578 + 45.7355i −0.237129 + 1.64927i 0.428909 + 0.903348i \(0.358898\pi\)
−0.666037 + 0.745918i \(0.732011\pi\)
\(770\) −16.8638 0.850941i −0.607730 0.0306658i
\(771\) 5.80788 12.7175i 0.209166 0.458009i
\(772\) 30.7377 12.3055i 1.10627 0.442885i
\(773\) 1.42247