Properties

Label 483.2.r.a.412.5
Level $483$
Weight $2$
Character 483.412
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.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.5
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.85697 - 1.19340i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(1.19330 + 2.61296i) q^{4} +(1.10668 + 0.324952i) q^{5} +(2.00791 + 0.916981i) q^{6} +(-2.23744 + 1.41204i) q^{7} +(0.274107 - 1.90645i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(-1.85697 - 1.19340i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(1.19330 + 2.61296i) q^{4} +(1.10668 + 0.324952i) q^{5} +(2.00791 + 0.916981i) q^{6} +(-2.23744 + 1.41204i) q^{7} +(0.274107 - 1.90645i) q^{8} +(0.959493 - 0.281733i) q^{9} +(-1.66728 - 1.92415i) q^{10} +(-0.0983116 - 0.152976i) q^{11} +(-1.55302 - 2.41654i) q^{12} +(-3.11702 + 2.70091i) q^{13} +(5.84000 + 0.0480570i) q^{14} +(-1.14167 - 0.164147i) q^{15} +(0.978068 - 1.12875i) q^{16} +(2.24519 - 4.91628i) q^{17} +(-2.11797 - 0.621892i) q^{18} +(0.214571 + 0.469846i) q^{19} +(0.471520 + 3.27949i) q^{20} +(2.01371 - 1.71609i) q^{21} +0.401397i q^{22} +(0.108391 - 4.79461i) q^{23} +1.92606i q^{24} +(-3.08711 - 1.98397i) q^{25} +(9.01148 - 1.29566i) q^{26} +(-0.909632 + 0.415415i) q^{27} +(-6.35955 - 4.16137i) q^{28} +(3.47274 - 7.60424i) q^{29} +(1.92415 + 1.66728i) q^{30} +(-3.48170 - 0.500593i) q^{31} +(-6.85938 + 2.01409i) q^{32} +(0.119082 + 0.137428i) q^{33} +(-10.0364 + 6.44997i) q^{34} +(-2.93499 + 0.835619i) q^{35} +(1.88112 + 2.17093i) q^{36} +(-0.139133 - 0.473843i) q^{37} +(0.162263 - 1.12856i) q^{38} +(2.70091 - 3.11702i) q^{39} +(0.922855 - 2.02077i) q^{40} +(-2.65953 + 9.05751i) q^{41} +(-5.78739 + 0.783550i) q^{42} +(-9.24311 + 1.32896i) q^{43} +(0.282405 - 0.439431i) q^{44} +1.15341 q^{45} +(-5.92318 + 8.77409i) q^{46} -3.91037i q^{47} +(-0.807475 + 1.25646i) q^{48} +(3.01230 - 6.31871i) q^{49} +(3.36500 + 7.36833i) q^{50} +(-1.52268 + 5.18576i) q^{51} +(-10.7769 - 4.92166i) q^{52} +(-5.66877 - 4.91202i) q^{53} +(2.18492 + 0.314144i) q^{54} +(-0.0590902 - 0.201243i) q^{55} +(2.07869 + 4.65263i) q^{56} +(-0.279254 - 0.434527i) q^{57} +(-15.5237 + 9.97647i) q^{58} +(-3.29542 + 2.85550i) q^{59} +(-0.933441 - 3.17901i) q^{60} +(0.757513 - 5.26862i) q^{61} +(5.86801 + 5.08466i) q^{62} +(-1.74899 + 1.98520i) q^{63} +(12.2752 + 3.60432i) q^{64} +(-4.32722 + 1.97618i) q^{65} +(-0.0571248 - 0.397312i) q^{66} +(-1.30491 + 2.03047i) q^{67} +15.5253 q^{68} +(0.575056 + 4.76123i) q^{69} +(6.44742 + 1.95090i) q^{70} +(-7.91478 - 5.08652i) q^{71} +(-0.274107 - 1.90645i) q^{72} +(5.88839 - 2.68914i) q^{73} +(-0.307120 + 1.04595i) q^{74} +(3.33804 + 1.52443i) q^{75} +(-0.971643 + 1.12134i) q^{76} +(0.435974 + 0.203455i) q^{77} +(-8.73537 + 2.56494i) q^{78} +(2.99150 - 2.59215i) q^{79} +(1.44920 - 0.931346i) q^{80} +(0.841254 - 0.540641i) q^{81} +(15.7479 - 13.6456i) q^{82} +(-8.62357 + 2.53211i) q^{83} +(6.88704 + 3.21396i) q^{84} +(4.08227 - 4.71119i) q^{85} +(18.7502 + 8.56291i) q^{86} +(-2.35520 + 8.02106i) q^{87} +(-0.318589 + 0.145495i) q^{88} +(-2.58811 - 18.0007i) q^{89} +(-2.14184 - 1.37648i) q^{90} +(3.16036 - 10.4445i) q^{91} +(12.6575 - 5.43819i) q^{92} +3.51751 q^{93} +(-4.66665 + 7.26145i) q^{94} +(0.0847856 + 0.589697i) q^{95} +(6.50292 - 2.96978i) q^{96} +(-6.91043 - 2.02908i) q^{97} +(-13.1345 + 8.13877i) q^{98} +(-0.137428 - 0.119082i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.85697 1.19340i −1.31308 0.843863i −0.318506 0.947921i \(-0.603181\pi\)
−0.994571 + 0.104058i \(0.966817\pi\)
\(3\) −0.989821 + 0.142315i −0.571474 + 0.0821655i
\(4\) 1.19330 + 2.61296i 0.596650 + 1.30648i
\(5\) 1.10668 + 0.324952i 0.494925 + 0.145323i 0.519664 0.854371i \(-0.326057\pi\)
−0.0247390 + 0.999694i \(0.507875\pi\)
\(6\) 2.00791 + 0.916981i 0.819725 + 0.374356i
\(7\) −2.23744 + 1.41204i −0.845674 + 0.533700i
\(8\) 0.274107 1.90645i 0.0969113 0.674033i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) −1.66728 1.92415i −0.527241 0.608469i
\(11\) −0.0983116 0.152976i −0.0296421 0.0461240i 0.826116 0.563500i \(-0.190545\pi\)
−0.855758 + 0.517376i \(0.826909\pi\)
\(12\) −1.55302 2.41654i −0.448318 0.697596i
\(13\) −3.11702 + 2.70091i −0.864505 + 0.749098i −0.969426 0.245383i \(-0.921086\pi\)
0.104921 + 0.994481i \(0.466541\pi\)
\(14\) 5.84000 + 0.0480570i 1.56080 + 0.0128438i
\(15\) −1.14167 0.164147i −0.294777 0.0423825i
\(16\) 0.978068 1.12875i 0.244517 0.282188i
\(17\) 2.24519 4.91628i 0.544539 1.19237i −0.414747 0.909937i \(-0.636130\pi\)
0.959286 0.282437i \(-0.0911427\pi\)
\(18\) −2.11797 0.621892i −0.499211 0.146581i
\(19\) 0.214571 + 0.469846i 0.0492261 + 0.107790i 0.932647 0.360790i \(-0.117493\pi\)
−0.883421 + 0.468580i \(0.844766\pi\)
\(20\) 0.471520 + 3.27949i 0.105435 + 0.733317i
\(21\) 2.01371 1.71609i 0.439429 0.374481i
\(22\) 0.401397i 0.0855782i
\(23\) 0.108391 4.79461i 0.0226012 0.999745i
\(24\) 1.92606i 0.393155i
\(25\) −3.08711 1.98397i −0.617422 0.396793i
\(26\) 9.01148 1.29566i 1.76730 0.254099i
\(27\) −0.909632 + 0.415415i −0.175059 + 0.0799467i
\(28\) −6.35955 4.16137i −1.20184 0.786425i
\(29\) 3.47274 7.60424i 0.644872 1.41207i −0.251100 0.967961i \(-0.580792\pi\)
0.895972 0.444111i \(-0.146480\pi\)
\(30\) 1.92415 + 1.66728i 0.351300 + 0.304403i
\(31\) −3.48170 0.500593i −0.625333 0.0899092i −0.177638 0.984096i \(-0.556846\pi\)
−0.447694 + 0.894187i \(0.647755\pi\)
\(32\) −6.85938 + 2.01409i −1.21258 + 0.356045i
\(33\) 0.119082 + 0.137428i 0.0207295 + 0.0239231i
\(34\) −10.0364 + 6.44997i −1.72122 + 1.10616i
\(35\) −2.93499 + 0.835619i −0.496104 + 0.141245i
\(36\) 1.88112 + 2.17093i 0.313520 + 0.361822i
\(37\) −0.139133 0.473843i −0.0228733 0.0778992i 0.947265 0.320450i \(-0.103834\pi\)
−0.970139 + 0.242551i \(0.922016\pi\)
\(38\) 0.162263 1.12856i 0.0263225 0.183077i
\(39\) 2.70091 3.11702i 0.432492 0.499122i
\(40\) 0.922855 2.02077i 0.145916 0.319512i
\(41\) −2.65953 + 9.05751i −0.415348 + 1.41455i 0.440702 + 0.897653i \(0.354729\pi\)
−0.856050 + 0.516892i \(0.827089\pi\)
\(42\) −5.78739 + 0.783550i −0.893014 + 0.120904i
\(43\) −9.24311 + 1.32896i −1.40956 + 0.202664i −0.804707 0.593672i \(-0.797678\pi\)
−0.604854 + 0.796337i \(0.706768\pi\)
\(44\) 0.282405 0.439431i 0.0425742 0.0662467i
\(45\) 1.15341 0.171940
\(46\) −5.92318 + 8.77409i −0.873325 + 1.29367i
\(47\) 3.91037i 0.570387i −0.958470 0.285193i \(-0.907942\pi\)
0.958470 0.285193i \(-0.0920578\pi\)
\(48\) −0.807475 + 1.25646i −0.116549 + 0.181354i
\(49\) 3.01230 6.31871i 0.430328 0.902672i
\(50\) 3.36500 + 7.36833i 0.475883 + 1.04204i
\(51\) −1.52268 + 5.18576i −0.213218 + 0.726152i
\(52\) −10.7769 4.92166i −1.49449 0.682511i
\(53\) −5.66877 4.91202i −0.778665 0.674717i 0.171944 0.985107i \(-0.444995\pi\)
−0.950609 + 0.310389i \(0.899541\pi\)
\(54\) 2.18492 + 0.314144i 0.297330 + 0.0427495i
\(55\) −0.0590902 0.201243i −0.00796772 0.0271356i
\(56\) 2.07869 + 4.65263i 0.277776 + 0.621734i
\(57\) −0.279254 0.434527i −0.0369880 0.0575545i
\(58\) −15.5237 + 9.97647i −2.03836 + 1.30998i
\(59\) −3.29542 + 2.85550i −0.429028 + 0.371755i −0.842441 0.538789i \(-0.818882\pi\)
0.413413 + 0.910544i \(0.364337\pi\)
\(60\) −0.933441 3.17901i −0.120507 0.410408i
\(61\) 0.757513 5.26862i 0.0969896 0.674578i −0.882087 0.471086i \(-0.843862\pi\)
0.979077 0.203491i \(-0.0652289\pi\)
\(62\) 5.86801 + 5.08466i 0.745239 + 0.645753i
\(63\) −1.74899 + 1.98520i −0.220352 + 0.250112i
\(64\) 12.2752 + 3.60432i 1.53440 + 0.450540i
\(65\) −4.32722 + 1.97618i −0.536726 + 0.245114i
\(66\) −0.0571248 0.397312i −0.00703157 0.0489057i
\(67\) −1.30491 + 2.03047i −0.159420 + 0.248062i −0.911770 0.410702i \(-0.865284\pi\)
0.752350 + 0.658763i \(0.228920\pi\)
\(68\) 15.5253 1.88271
\(69\) 0.575056 + 4.76123i 0.0692286 + 0.573185i
\(70\) 6.44742 + 1.95090i 0.770614 + 0.233177i
\(71\) −7.91478 5.08652i −0.939311 0.603659i −0.0211119 0.999777i \(-0.506721\pi\)
−0.918199 + 0.396118i \(0.870357\pi\)
\(72\) −0.274107 1.90645i −0.0323038 0.224678i
\(73\) 5.88839 2.68914i 0.689184 0.314740i −0.0398614 0.999205i \(-0.512692\pi\)
0.729045 + 0.684466i \(0.239964\pi\)
\(74\) −0.307120 + 1.04595i −0.0357019 + 0.121590i
\(75\) 3.33804 + 1.52443i 0.385443 + 0.176026i
\(76\) −0.971643 + 1.12134i −0.111455 + 0.128626i
\(77\) 0.435974 + 0.203455i 0.0496839 + 0.0231859i
\(78\) −8.73537 + 2.56494i −0.989086 + 0.290422i
\(79\) 2.99150 2.59215i 0.336570 0.291640i −0.470134 0.882595i \(-0.655795\pi\)
0.806704 + 0.590955i \(0.201249\pi\)
\(80\) 1.44920 0.931346i 0.162026 0.104128i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) 15.7479 13.6456i 1.73907 1.50691i
\(83\) −8.62357 + 2.53211i −0.946560 + 0.277935i −0.718354 0.695678i \(-0.755104\pi\)
−0.228206 + 0.973613i \(0.573286\pi\)
\(84\) 6.88704 + 3.21396i 0.751438 + 0.350672i
\(85\) 4.08227 4.71119i 0.442785 0.511001i
\(86\) 18.7502 + 8.56291i 2.02188 + 0.923363i
\(87\) −2.35520 + 8.02106i −0.252504 + 0.859948i
\(88\) −0.318589 + 0.145495i −0.0339617 + 0.0155098i
\(89\) −2.58811 18.0007i −0.274339 1.90807i −0.400914 0.916116i \(-0.631307\pi\)
0.126575 0.991957i \(-0.459602\pi\)
\(90\) −2.14184 1.37648i −0.225770 0.145094i
\(91\) 3.16036 10.4445i 0.331296 1.09488i
\(92\) 12.6575 5.43819i 1.31963 0.566970i
\(93\) 3.51751 0.364749
\(94\) −4.66665 + 7.26145i −0.481328 + 0.748961i
\(95\) 0.0847856 + 0.589697i 0.00869882 + 0.0605016i
\(96\) 6.50292 2.96978i 0.663702 0.303102i
\(97\) −6.91043 2.02908i −0.701648 0.206022i −0.0885988 0.996067i \(-0.528239\pi\)
−0.613049 + 0.790045i \(0.710057\pi\)
\(98\) −13.1345 + 8.13877i −1.32679 + 0.822140i
\(99\) −0.137428 0.119082i −0.0138120 0.0119682i
\(100\) 1.50018 10.4340i 0.150018 1.04340i
\(101\) 1.51269 + 5.15175i 0.150518 + 0.512618i 0.999885 0.0151854i \(-0.00483386\pi\)
−0.849366 + 0.527804i \(0.823016\pi\)
\(102\) 9.01627 7.81265i 0.892744 0.773567i
\(103\) −4.97030 + 3.19422i −0.489738 + 0.314735i −0.762100 0.647459i \(-0.775832\pi\)
0.272362 + 0.962195i \(0.412195\pi\)
\(104\) 4.29476 + 6.68278i 0.421136 + 0.655301i
\(105\) 2.78619 1.24481i 0.271905 0.121481i
\(106\) 4.66472 + 15.8866i 0.453078 + 1.54304i
\(107\) 12.2353 + 1.75917i 1.18283 + 0.170066i 0.705535 0.708675i \(-0.250707\pi\)
0.477299 + 0.878741i \(0.341616\pi\)
\(108\) −2.17093 1.88112i −0.208898 0.181011i
\(109\) 18.3624 + 8.38584i 1.75880 + 0.803217i 0.985608 + 0.169046i \(0.0540687\pi\)
0.773193 + 0.634171i \(0.218659\pi\)
\(110\) −0.130435 + 0.444220i −0.0124365 + 0.0423547i
\(111\) 0.205151 + 0.449219i 0.0194721 + 0.0426380i
\(112\) −0.594532 + 3.90658i −0.0561780 + 0.369137i
\(113\) 6.35765 9.89269i 0.598077 0.930626i −0.401812 0.915722i \(-0.631619\pi\)
0.999889 0.0149039i \(-0.00474424\pi\)
\(114\) 1.14017i 0.106786i
\(115\) 1.67797 5.27090i 0.156472 0.491514i
\(116\) 24.0136 2.22961
\(117\) −2.22982 + 3.46967i −0.206147 + 0.320771i
\(118\) 9.52727 1.36981i 0.877056 0.126102i
\(119\) 1.91849 + 14.1702i 0.175868 + 1.29898i
\(120\) −0.625876 + 2.13154i −0.0571344 + 0.194582i
\(121\) 4.55583 9.97587i 0.414166 0.906898i
\(122\) −7.69427 + 8.87966i −0.696606 + 0.803926i
\(123\) 1.34344 9.34381i 0.121134 0.842503i
\(124\) −2.84669 9.69493i −0.255640 0.870630i
\(125\) −6.54837 7.55722i −0.585704 0.675938i
\(126\) 5.61697 1.59921i 0.500400 0.142469i
\(127\) −6.94984 + 4.46639i −0.616699 + 0.396328i −0.811364 0.584541i \(-0.801274\pi\)
0.194665 + 0.980870i \(0.437638\pi\)
\(128\) −9.13011 10.5367i −0.806995 0.931322i
\(129\) 8.95989 2.63086i 0.788875 0.231635i
\(130\) 10.3939 + 1.49442i 0.911605 + 0.131069i
\(131\) −6.70266 5.80789i −0.585614 0.507438i 0.310906 0.950441i \(-0.399368\pi\)
−0.896520 + 0.443003i \(0.853913\pi\)
\(132\) −0.216993 + 0.475149i −0.0188868 + 0.0413564i
\(133\) −1.14353 0.748270i −0.0991568 0.0648833i
\(134\) 4.84634 2.21325i 0.418660 0.191196i
\(135\) −1.14167 + 0.164147i −0.0982590 + 0.0141275i
\(136\) −8.75724 5.62793i −0.750927 0.482591i
\(137\) 3.32339i 0.283936i 0.989871 + 0.141968i \(0.0453431\pi\)
−0.989871 + 0.141968i \(0.954657\pi\)
\(138\) 4.61420 9.52774i 0.392787 0.811055i
\(139\) 10.6931i 0.906976i −0.891262 0.453488i \(-0.850180\pi\)
0.891262 0.453488i \(-0.149820\pi\)
\(140\) −5.68577 6.67188i −0.480535 0.563876i
\(141\) 0.556504 + 3.87057i 0.0468661 + 0.325961i
\(142\) 8.62725 + 18.8910i 0.723983 + 1.58530i
\(143\) 0.719613 + 0.211297i 0.0601771 + 0.0176696i
\(144\) 0.620444 1.35858i 0.0517036 0.113215i
\(145\) 6.31424 7.28702i 0.524369 0.605154i
\(146\) −14.1438 2.03357i −1.17055 0.168299i
\(147\) −2.08239 + 6.68309i −0.171753 + 0.551212i
\(148\) 1.07211 0.928986i 0.0881266 0.0763622i
\(149\) −2.10182 3.27050i −0.172188 0.267929i 0.744425 0.667707i \(-0.232724\pi\)
−0.916612 + 0.399777i \(0.869088\pi\)
\(150\) −4.37938 6.81444i −0.357575 0.556397i
\(151\) 13.1219 + 15.1434i 1.06784 + 1.23235i 0.971508 + 0.237006i \(0.0761660\pi\)
0.0963332 + 0.995349i \(0.469289\pi\)
\(152\) 0.954555 0.280283i 0.0774246 0.0227339i
\(153\) 0.769168 5.34968i 0.0621835 0.432496i
\(154\) −0.566788 0.898103i −0.0456731 0.0723712i
\(155\) −3.69048 1.68539i −0.296427 0.135373i
\(156\) 11.3677 + 3.33784i 0.910141 + 0.267241i
\(157\) 1.32273 + 2.89637i 0.105565 + 0.231156i 0.955042 0.296470i \(-0.0958096\pi\)
−0.849477 + 0.527626i \(0.823082\pi\)
\(158\) −8.64861 + 1.24348i −0.688046 + 0.0989261i
\(159\) 6.31012 + 4.05527i 0.500425 + 0.321604i
\(160\) −8.24565 −0.651876
\(161\) 6.52765 + 10.8807i 0.514451 + 0.857520i
\(162\) −2.20739 −0.173429
\(163\) −14.0629 9.03769i −1.10149 0.707886i −0.142069 0.989857i \(-0.545376\pi\)
−0.959423 + 0.281970i \(0.909012\pi\)
\(164\) −26.8406 + 3.85909i −2.09590 + 0.301344i
\(165\) 0.0871286 + 0.190785i 0.00678295 + 0.0148526i
\(166\) 19.0355 + 5.58934i 1.47744 + 0.433817i
\(167\) −13.0994 5.98228i −1.01366 0.462923i −0.161873 0.986812i \(-0.551753\pi\)
−0.851787 + 0.523889i \(0.824481\pi\)
\(168\) −2.71967 4.30944i −0.209827 0.332481i
\(169\) 0.570783 3.96988i 0.0439064 0.305376i
\(170\) −13.2030 + 3.87676i −1.01263 + 0.297334i
\(171\) 0.338251 + 0.390362i 0.0258667 + 0.0298517i
\(172\) −14.5023 22.5661i −1.10579 1.72065i
\(173\) 3.10099 + 4.82523i 0.235764 + 0.366856i 0.938895 0.344205i \(-0.111852\pi\)
−0.703131 + 0.711061i \(0.748215\pi\)
\(174\) 13.9459 12.0842i 1.05724 0.916099i
\(175\) 9.70867 + 0.0798920i 0.733906 + 0.00603927i
\(176\) −0.268827 0.0386515i −0.0202636 0.00291347i
\(177\) 2.85550 3.29542i 0.214633 0.247699i
\(178\) −16.6761 + 36.5155i −1.24992 + 2.73695i
\(179\) −9.02379 2.64962i −0.674469 0.198042i −0.0734772 0.997297i \(-0.523410\pi\)
−0.600992 + 0.799255i \(0.705228\pi\)
\(180\) 1.37636 + 3.01381i 0.102588 + 0.224636i
\(181\) 0.948189 + 6.59480i 0.0704783 + 0.490187i 0.994236 + 0.107211i \(0.0341919\pi\)
−0.923758 + 0.382977i \(0.874899\pi\)
\(182\) −18.3332 + 15.6235i −1.35894 + 1.15809i
\(183\) 5.32280i 0.393473i
\(184\) −9.11098 1.52088i −0.671670 0.112120i
\(185\) 0.569606i 0.0418783i
\(186\) −6.53191 4.19780i −0.478943 0.307798i
\(187\) −0.972801 + 0.139868i −0.0711382 + 0.0102281i
\(188\) 10.2177 4.66625i 0.745200 0.340321i
\(189\) 1.44867 2.21390i 0.105375 0.161038i
\(190\) 0.546302 1.19623i 0.0396329 0.0867839i
\(191\) 6.67328 + 5.78243i 0.482861 + 0.418402i 0.861977 0.506948i \(-0.169226\pi\)
−0.379116 + 0.925349i \(0.623772\pi\)
\(192\) −12.6632 1.82069i −0.913887 0.131397i
\(193\) −11.9587 + 3.51141i −0.860810 + 0.252756i −0.682202 0.731164i \(-0.738977\pi\)
−0.178608 + 0.983920i \(0.557159\pi\)
\(194\) 10.4109 + 12.0149i 0.747462 + 0.862618i
\(195\) 4.00194 2.57189i 0.286585 0.184177i
\(196\) 20.1051 + 0.330910i 1.43608 + 0.0236365i
\(197\) 13.4387 + 15.5091i 0.957471 + 1.10498i 0.994402 + 0.105663i \(0.0336964\pi\)
−0.0369310 + 0.999318i \(0.511758\pi\)
\(198\) 0.113087 + 0.385138i 0.00803672 + 0.0273706i
\(199\) −0.0332438 + 0.231215i −0.00235659 + 0.0163904i −0.990966 0.134115i \(-0.957181\pi\)
0.988609 + 0.150505i \(0.0480900\pi\)
\(200\) −4.62853 + 5.34161i −0.327287 + 0.377709i
\(201\) 1.00266 2.19551i 0.0707220 0.154859i
\(202\) 3.33909 11.3719i 0.234938 0.800124i
\(203\) 2.96742 + 21.9177i 0.208272 + 1.53832i
\(204\) −15.3672 + 2.20947i −1.07592 + 0.154694i
\(205\) −5.88651 + 9.15959i −0.411132 + 0.639734i
\(206\) 13.0417 0.908657
\(207\) −1.24680 4.63093i −0.0866583 0.321872i
\(208\) 6.16001i 0.427120i
\(209\) 0.0507802 0.0790156i 0.00351254 0.00546562i
\(210\) −6.65944 1.01348i −0.459545 0.0699369i
\(211\) 4.33229 + 9.48639i 0.298247 + 0.653070i 0.998126 0.0611914i \(-0.0194900\pi\)
−0.699879 + 0.714262i \(0.746763\pi\)
\(212\) 6.07038 20.6738i 0.416915 1.41988i
\(213\) 8.55810 + 3.90836i 0.586392 + 0.267796i
\(214\) −20.6212 17.8684i −1.40964 1.22146i
\(215\) −10.6611 1.53283i −0.727078 0.104538i
\(216\) 0.542633 + 1.84804i 0.0369215 + 0.125743i
\(217\) 8.49697 3.79625i 0.576812 0.257706i
\(218\) −24.0908 37.4860i −1.63163 2.53887i
\(219\) −5.44575 + 3.49977i −0.367990 + 0.236493i
\(220\) 0.455328 0.394544i 0.0306982 0.0266001i
\(221\) 6.28014 + 21.3882i 0.422448 + 1.43873i
\(222\) 0.155139 1.07901i 0.0104122 0.0724187i
\(223\) 13.8261 + 11.9804i 0.925863 + 0.802265i 0.980556 0.196238i \(-0.0628727\pi\)
−0.0546933 + 0.998503i \(0.517418\pi\)
\(224\) 12.5035 14.1921i 0.835424 0.948251i
\(225\) −3.52101 1.03386i −0.234734 0.0689241i
\(226\) −23.6119 + 10.7832i −1.57064 + 0.717288i
\(227\) −0.574083 3.99283i −0.0381032 0.265014i 0.961860 0.273541i \(-0.0881948\pi\)
−0.999964 + 0.00852707i \(0.997286\pi\)
\(228\) 0.802170 1.24820i 0.0531250 0.0826641i
\(229\) −22.0179 −1.45498 −0.727491 0.686117i \(-0.759314\pi\)
−0.727491 + 0.686117i \(0.759314\pi\)
\(230\) −9.40625 + 7.78541i −0.620230 + 0.513354i
\(231\) −0.460491 0.139339i −0.0302981 0.00916780i
\(232\) −13.5452 8.70499i −0.889288 0.571510i
\(233\) −0.571226 3.97296i −0.0374223 0.260277i 0.962518 0.271218i \(-0.0874265\pi\)
−0.999940 + 0.0109407i \(0.996517\pi\)
\(234\) 8.28143 3.78200i 0.541374 0.247237i
\(235\) 1.27068 4.32755i 0.0828903 0.282298i
\(236\) −11.3938 5.20336i −0.741670 0.338710i
\(237\) −2.59215 + 2.99150i −0.168378 + 0.194319i
\(238\) 13.3482 28.6032i 0.865233 1.85407i
\(239\) −12.2132 + 3.58612i −0.790007 + 0.231967i −0.651755 0.758430i \(-0.725967\pi\)
−0.138253 + 0.990397i \(0.544149\pi\)
\(240\) −1.30191 + 1.12811i −0.0840378 + 0.0728192i
\(241\) −17.0271 + 10.9426i −1.09681 + 0.704878i −0.958380 0.285495i \(-0.907842\pi\)
−0.138431 + 0.990372i \(0.544206\pi\)
\(242\) −20.3653 + 13.0880i −1.30913 + 0.841326i
\(243\) −0.755750 + 0.654861i −0.0484814 + 0.0420093i
\(244\) 14.6707 4.30769i 0.939193 0.275772i
\(245\) 5.38694 6.01397i 0.344159 0.384218i
\(246\) −13.6456 + 15.7479i −0.870015 + 1.00405i
\(247\) −1.93783 0.884980i −0.123301 0.0563099i
\(248\) −1.90872 + 6.50049i −0.121204 + 0.412781i
\(249\) 8.17544 3.73360i 0.518097 0.236607i
\(250\) 3.14132 + 21.8484i 0.198675 + 1.38181i
\(251\) −2.78381 1.78905i −0.175712 0.112924i 0.449828 0.893115i \(-0.351485\pi\)
−0.625541 + 0.780192i \(0.715122\pi\)
\(252\) −7.27433 2.20112i −0.458240 0.138657i
\(253\) −0.744115 + 0.454784i −0.0467821 + 0.0285920i
\(254\) 18.2359 1.14422
\(255\) −3.37025 + 5.24421i −0.211053 + 0.328405i
\(256\) 0.738429 + 5.13589i 0.0461518 + 0.320993i
\(257\) 4.26711 1.94872i 0.266175 0.121558i −0.277857 0.960622i \(-0.589624\pi\)
0.544032 + 0.839064i \(0.316897\pi\)
\(258\) −19.7779 5.80733i −1.23132 0.361548i
\(259\) 0.980385 + 0.863735i 0.0609182 + 0.0536699i
\(260\) −10.3274 8.94870i −0.640475 0.554975i
\(261\) 1.18971 8.27460i 0.0736411 0.512185i
\(262\) 5.51550 + 18.7841i 0.340749 + 1.16048i
\(263\) −9.47672 + 8.21162i −0.584359 + 0.506350i −0.896121 0.443810i \(-0.853626\pi\)
0.311761 + 0.950160i \(0.399081\pi\)
\(264\) 0.294640 0.189354i 0.0181339 0.0116539i
\(265\) −4.67737 7.27813i −0.287329 0.447092i
\(266\) 1.23052 + 2.75421i 0.0754479 + 0.168871i
\(267\) 5.12354 + 17.4492i 0.313556 + 1.06787i
\(268\) −6.86270 0.986707i −0.419206 0.0602727i
\(269\) −14.2497 12.3474i −0.868819 0.752836i 0.101456 0.994840i \(-0.467650\pi\)
−0.970275 + 0.242004i \(0.922195\pi\)
\(270\) 2.31593 + 1.05765i 0.140943 + 0.0643666i
\(271\) 8.86135 30.1790i 0.538289 1.83324i −0.0144607 0.999895i \(-0.504603\pi\)
0.552749 0.833348i \(-0.313579\pi\)
\(272\) −3.35331 7.34272i −0.203324 0.445218i
\(273\) −1.64179 + 10.7879i −0.0993654 + 0.652915i
\(274\) 3.96614 6.17144i 0.239603 0.372830i
\(275\) 0.667300i 0.0402397i
\(276\) −11.7547 + 7.18418i −0.707550 + 0.432437i
\(277\) 3.73824 0.224609 0.112305 0.993674i \(-0.464177\pi\)
0.112305 + 0.993674i \(0.464177\pi\)
\(278\) −12.7612 + 19.8567i −0.765363 + 1.19093i
\(279\) −3.48170 + 0.500593i −0.208444 + 0.0299697i
\(280\) 0.788570 + 5.82447i 0.0471260 + 0.348078i
\(281\) 0.146799 0.499952i 0.00875730 0.0298246i −0.954998 0.296611i \(-0.904144\pi\)
0.963756 + 0.266786i \(0.0859618\pi\)
\(282\) 3.58574 7.85167i 0.213528 0.467560i
\(283\) 13.5035 15.5838i 0.802698 0.926363i −0.195828 0.980638i \(-0.562739\pi\)
0.998526 + 0.0542754i \(0.0172849\pi\)
\(284\) 3.84618 26.7508i 0.228229 1.58737i
\(285\) −0.167845 0.571628i −0.00994229 0.0338603i
\(286\) −1.08414 1.25116i −0.0641064 0.0739827i
\(287\) −6.83901 24.0210i −0.403694 1.41792i
\(288\) −6.01409 + 3.86502i −0.354383 + 0.227748i
\(289\) −7.99631 9.22823i −0.470371 0.542837i
\(290\) −20.4217 + 5.99636i −1.19920 + 0.352118i
\(291\) 7.12886 + 1.02498i 0.417901 + 0.0600851i
\(292\) 14.0532 + 12.1772i 0.822404 + 0.712617i
\(293\) 13.8642 30.3583i 0.809953 1.77355i 0.202342 0.979315i \(-0.435145\pi\)
0.607611 0.794235i \(-0.292128\pi\)
\(294\) 11.8426 9.92517i 0.690672 0.578847i
\(295\) −4.57490 + 2.08929i −0.266361 + 0.121643i
\(296\) −0.941496 + 0.135367i −0.0547233 + 0.00786803i
\(297\) 0.152976 + 0.0983116i 0.00887656 + 0.00570462i
\(298\) 8.58153i 0.497115i
\(299\) 12.6119 + 15.2376i 0.729368 + 0.881214i
\(300\) 10.5413i 0.608601i
\(301\) 18.8044 16.0251i 1.08387 0.923670i
\(302\) −6.29470 43.7806i −0.362219 2.51929i
\(303\) −2.23046 4.88403i −0.128137 0.280580i
\(304\) 0.740205 + 0.217344i 0.0424536 + 0.0124655i
\(305\) 2.55038 5.58455i 0.146034 0.319770i
\(306\) −7.81265 + 9.01627i −0.446619 + 0.515426i
\(307\) 20.0223 + 2.87877i 1.14273 + 0.164300i 0.687577 0.726112i \(-0.258674\pi\)
0.455156 + 0.890412i \(0.349584\pi\)
\(308\) −0.0113721 + 1.38197i −0.000647988 + 0.0787450i
\(309\) 4.46512 3.86905i 0.254012 0.220103i
\(310\) 4.84177 + 7.53394i 0.274994 + 0.427899i
\(311\) 15.9969 + 24.8916i 0.907100 + 1.41148i 0.911416 + 0.411485i \(0.134990\pi\)
−0.00431606 + 0.999991i \(0.501374\pi\)
\(312\) −5.20211 6.00355i −0.294511 0.339884i
\(313\) −31.4011 + 9.22018i −1.77489 + 0.521156i −0.994556 0.104204i \(-0.966771\pi\)
−0.780337 + 0.625359i \(0.784952\pi\)
\(314\) 1.00027 6.95702i 0.0564484 0.392607i
\(315\) −2.58068 + 1.62865i −0.145405 + 0.0917642i
\(316\) 10.3430 + 4.72347i 0.581837 + 0.265716i
\(317\) 22.0417 + 6.47203i 1.23799 + 0.363506i 0.834258 0.551374i \(-0.185896\pi\)
0.403728 + 0.914879i \(0.367714\pi\)
\(318\) −6.87814 15.0610i −0.385707 0.844581i
\(319\) −1.50468 + 0.216340i −0.0842457 + 0.0121127i
\(320\) 12.4135 + 7.97769i 0.693937 + 0.445966i
\(321\) −12.3611 −0.689932
\(322\) 0.863419 27.9953i 0.0481165 1.56012i
\(323\) 2.79165 0.155332
\(324\) 2.41654 + 1.55302i 0.134252 + 0.0862788i
\(325\) 14.9811 2.15395i 0.831001 0.119480i
\(326\) 15.3288 + 33.5654i 0.848985 + 1.85902i
\(327\) −19.3689 5.68724i −1.07111 0.314505i
\(328\) 16.5387 + 7.55298i 0.913198 + 0.417044i
\(329\) 5.52159 + 8.74923i 0.304415 + 0.482361i
\(330\) 0.0658881 0.458262i 0.00362702 0.0252265i
\(331\) −11.8576 + 3.48170i −0.651752 + 0.191372i −0.590862 0.806773i \(-0.701212\pi\)
−0.0608904 + 0.998144i \(0.519394\pi\)
\(332\) −16.9068 19.5115i −0.927882 1.07083i
\(333\) −0.266994 0.415450i −0.0146312 0.0227665i
\(334\) 17.1859 + 26.7417i 0.940369 + 1.46324i
\(335\) −2.10392 + 1.82306i −0.114950 + 0.0996045i
\(336\) 0.0325161 3.95143i 0.00177390 0.215568i
\(337\) −7.17478 1.03158i −0.390835 0.0561936i −0.0559039 0.998436i \(-0.517804\pi\)
−0.334931 + 0.942243i \(0.608713\pi\)
\(338\) −5.79760 + 6.69079i −0.315348 + 0.363931i
\(339\) −4.88506 + 10.6968i −0.265320 + 0.580970i
\(340\) 17.1816 + 5.04496i 0.931801 + 0.273602i
\(341\) 0.265713 + 0.581831i 0.0143892 + 0.0315079i
\(342\) −0.162263 1.12856i −0.00877415 0.0610256i
\(343\) 2.18241 + 18.3912i 0.117839 + 0.993033i
\(344\) 17.9858i 0.969731i
\(345\) −0.910766 + 5.45605i −0.0490340 + 0.293744i
\(346\) 12.6610i 0.680662i
\(347\) −3.63509 2.33613i −0.195142 0.125410i 0.439421 0.898281i \(-0.355184\pi\)
−0.634563 + 0.772871i \(0.718820\pi\)
\(348\) −23.7692 + 3.41750i −1.27416 + 0.183197i
\(349\) −11.8794 + 5.42516i −0.635892 + 0.290402i −0.707158 0.707055i \(-0.750023\pi\)
0.0712667 + 0.997457i \(0.477296\pi\)
\(350\) −17.9334 11.7347i −0.958579 0.627246i
\(351\) 1.71334 3.75169i 0.0914513 0.200250i
\(352\) 0.982464 + 0.851310i 0.0523655 + 0.0453750i
\(353\) −13.0707 1.87929i −0.695685 0.100024i −0.214605 0.976701i \(-0.568846\pi\)
−0.481080 + 0.876677i \(0.659755\pi\)
\(354\) −9.23535 + 2.71174i −0.490853 + 0.144128i
\(355\) −7.10629 8.20110i −0.377163 0.435269i
\(356\) 43.9469 28.2429i 2.32918 1.49687i
\(357\) −3.91559 13.7529i −0.207235 0.727882i
\(358\) 13.5948 + 15.6893i 0.718510 + 0.829204i
\(359\) 3.71903 + 12.6659i 0.196283 + 0.668479i 0.997536 + 0.0701533i \(0.0223489\pi\)
−0.801253 + 0.598326i \(0.795833\pi\)
\(360\) 0.316156 2.19891i 0.0166629 0.115893i
\(361\) 12.2676 14.1576i 0.645665 0.745137i
\(362\) 6.10949 13.3779i 0.321108 0.703128i
\(363\) −3.08974 + 10.5227i −0.162169 + 0.552298i
\(364\) 31.0623 4.20550i 1.62811 0.220428i
\(365\) 7.39043 1.06258i 0.386833 0.0556182i
\(366\) 6.35224 9.88428i 0.332037 0.516660i
\(367\) 19.4708 1.01637 0.508183 0.861249i \(-0.330318\pi\)
0.508183 + 0.861249i \(0.330318\pi\)
\(368\) −5.30590 4.81180i −0.276589 0.250832i
\(369\) 9.43989i 0.491421i
\(370\) −0.679769 + 1.05774i −0.0353395 + 0.0549894i
\(371\) 19.6195 + 2.98584i 1.01859 + 0.155017i
\(372\) 4.19744 + 9.19112i 0.217627 + 0.476537i
\(373\) −9.56478 + 32.5747i −0.495246 + 1.68665i 0.210011 + 0.977699i \(0.432650\pi\)
−0.705256 + 0.708953i \(0.749168\pi\)
\(374\) 1.97338 + 0.901213i 0.102041 + 0.0466006i
\(375\) 7.55722 + 6.54837i 0.390253 + 0.338156i
\(376\) −7.45494 1.07186i −0.384459 0.0552769i
\(377\) 9.71378 + 33.0821i 0.500285 + 1.70381i
\(378\) −5.33221 + 2.38231i −0.274259 + 0.122533i
\(379\) 0.131640 + 0.204837i 0.00676191 + 0.0105217i 0.844618 0.535369i \(-0.179828\pi\)
−0.837856 + 0.545891i \(0.816191\pi\)
\(380\) −1.43968 + 0.925228i −0.0738542 + 0.0474632i
\(381\) 6.24347 5.41000i 0.319863 0.277163i
\(382\) −5.49132 18.7017i −0.280960 0.956862i
\(383\) −2.06449 + 14.3589i −0.105491 + 0.733704i 0.866584 + 0.499032i \(0.166311\pi\)
−0.972074 + 0.234673i \(0.924598\pi\)
\(384\) 10.5367 + 9.13011i 0.537699 + 0.465919i
\(385\) 0.416373 + 0.366831i 0.0212203 + 0.0186955i
\(386\) 26.3976 + 7.75103i 1.34360 + 0.394517i
\(387\) −8.49429 + 3.87921i −0.431789 + 0.197191i
\(388\) −2.94429 20.4780i −0.149474 1.03961i
\(389\) −14.6822 + 22.8460i −0.744418 + 1.15834i 0.237931 + 0.971282i \(0.423531\pi\)
−0.982349 + 0.187055i \(0.940106\pi\)
\(390\) −10.5008 −0.531728
\(391\) −23.3283 11.2977i −1.17976 0.571349i
\(392\) −11.2206 7.47480i −0.566727 0.377535i
\(393\) 7.46099 + 4.79489i 0.376357 + 0.241870i
\(394\) −6.44671 44.8379i −0.324781 2.25890i
\(395\) 4.15297 1.89660i 0.208959 0.0954282i
\(396\) 0.147164 0.501194i 0.00739526 0.0251859i
\(397\) 12.4054 + 5.66535i 0.622609 + 0.284336i 0.701635 0.712537i \(-0.252454\pi\)
−0.0790260 + 0.996873i \(0.525181\pi\)
\(398\) 0.337666 0.389687i 0.0169257 0.0195332i
\(399\) 1.23838 + 0.577913i 0.0619967 + 0.0289318i
\(400\) −5.25881 + 1.54412i −0.262940 + 0.0772062i
\(401\) 10.3538 8.97165i 0.517046 0.448023i −0.356832 0.934169i \(-0.616143\pi\)
0.873878 + 0.486146i \(0.161598\pi\)
\(402\) −4.48203 + 2.88043i −0.223544 + 0.143663i
\(403\) 12.2046 7.84341i 0.607954 0.390708i
\(404\) −11.6562 + 10.1002i −0.579920 + 0.502503i
\(405\) 1.10668 0.324952i 0.0549916 0.0161470i
\(406\) 20.6462 44.2418i 1.02465 2.19569i
\(407\) −0.0588081 + 0.0678682i −0.00291501 + 0.00336410i
\(408\) 9.46904 + 4.32437i 0.468787 + 0.214088i
\(409\) −2.34551 + 7.98808i −0.115978 + 0.394985i −0.996937 0.0782073i \(-0.975080\pi\)
0.880959 + 0.473193i \(0.156899\pi\)
\(410\) 21.8622 9.98412i 1.07970 0.493080i
\(411\) −0.472968 3.28956i −0.0233298 0.162262i
\(412\) −14.2774 9.17555i −0.703399 0.452047i
\(413\) 3.34125 11.0423i 0.164412 0.543355i
\(414\) −3.21130 + 10.0874i −0.157827 + 0.495770i
\(415\) −10.3664 −0.508866
\(416\) 15.9409 24.8045i 0.781567 1.21614i
\(417\) 1.52178 + 10.5842i 0.0745221 + 0.518313i
\(418\) −0.188595 + 0.0861284i −0.00922448 + 0.00421268i
\(419\) −4.67543 1.37283i −0.228410 0.0670672i 0.165525 0.986206i \(-0.447068\pi\)
−0.393935 + 0.919138i \(0.628886\pi\)
\(420\) 6.57740 + 5.79480i 0.320944 + 0.282757i
\(421\) 20.5656 + 17.8202i 1.00231 + 0.868505i 0.991325 0.131435i \(-0.0419584\pi\)
0.0109832 + 0.999940i \(0.496504\pi\)
\(422\) 3.27615 22.7861i 0.159480 1.10921i
\(423\) −1.10168 3.75198i −0.0535655 0.182427i
\(424\) −10.9184 + 9.46082i −0.530243 + 0.459458i
\(425\) −16.6849 + 10.7227i −0.809336 + 0.520128i
\(426\) −11.2279 17.4710i −0.543994 0.846471i
\(427\) 5.74460 + 12.8579i 0.278001 + 0.622236i
\(428\) 10.0038 + 34.0697i 0.483550 + 1.64682i
\(429\) −0.742359 0.106735i −0.0358414 0.00515322i
\(430\) 17.9680 + 15.5693i 0.866493 + 0.750821i
\(431\) −17.8362 8.14552i −0.859139 0.392356i −0.0633949 0.997989i \(-0.520193\pi\)
−0.795744 + 0.605633i \(0.792920\pi\)
\(432\) −0.420782 + 1.43305i −0.0202449 + 0.0689477i
\(433\) 2.89909 + 6.34811i 0.139321 + 0.305071i 0.966412 0.256997i \(-0.0827331\pi\)
−0.827091 + 0.562068i \(0.810006\pi\)
\(434\) −20.3091 3.09078i −0.974867 0.148362i
\(435\) −5.21292 + 8.11146i −0.249940 + 0.388915i
\(436\) 57.9872i 2.77708i
\(437\) 2.27598 0.977859i 0.108875 0.0467773i
\(438\) 14.2892 0.682766
\(439\) −12.8947 + 20.0646i −0.615431 + 0.957629i 0.383981 + 0.923341i \(0.374553\pi\)
−0.999412 + 0.0342879i \(0.989084\pi\)
\(440\) −0.399857 + 0.0574907i −0.0190624 + 0.00274076i
\(441\) 1.11009 6.91142i 0.0528616 0.329115i
\(442\) 13.8627 47.2120i 0.659381 2.24564i
\(443\) 12.7530 27.9251i 0.605911 1.32676i −0.319425 0.947612i \(-0.603490\pi\)
0.925336 0.379149i \(-0.123783\pi\)
\(444\) −0.928986 + 1.07211i −0.0440877 + 0.0508799i
\(445\) 2.98515 20.7621i 0.141509 0.984220i
\(446\) −11.3772 38.7473i −0.538727 1.83474i
\(447\) 2.54587 + 2.93809i 0.120415 + 0.138967i
\(448\) −32.5545 + 9.26857i −1.53805 + 0.437899i
\(449\) 20.7980 13.3661i 0.981520 0.630785i 0.0516471 0.998665i \(-0.483553\pi\)
0.929873 + 0.367881i \(0.119917\pi\)
\(450\) 5.30460 + 6.12183i 0.250061 + 0.288586i
\(451\) 1.64704 0.483615i 0.0775562 0.0227726i
\(452\) 33.4358 + 4.80735i 1.57269 + 0.226119i
\(453\) −15.1434 13.1219i −0.711500 0.616519i
\(454\) −3.69900 + 8.09969i −0.173603 + 0.380137i
\(455\) 6.89147 10.5318i 0.323077 0.493737i
\(456\) −0.904950 + 0.413277i −0.0423782 + 0.0193535i
\(457\) 3.80759 0.547448i 0.178111 0.0256085i −0.0526820 0.998611i \(-0.516777\pi\)
0.230793 + 0.973003i \(0.425868\pi\)
\(458\) 40.8866 + 26.2762i 1.91050 + 1.22781i
\(459\) 5.40469i 0.252269i
\(460\) 15.7750 1.90528i 0.735513 0.0888343i
\(461\) 17.2774i 0.804689i 0.915488 + 0.402344i \(0.131805\pi\)
−0.915488 + 0.402344i \(0.868195\pi\)
\(462\) 0.688832 + 0.808299i 0.0320474 + 0.0376055i
\(463\) −4.72660 32.8742i −0.219664 1.52779i −0.739282 0.673395i \(-0.764835\pi\)
0.519619 0.854398i \(-0.326074\pi\)
\(464\) −5.18671 11.3573i −0.240787 0.527250i
\(465\) 3.89277 + 1.14302i 0.180523 + 0.0530063i
\(466\) −3.68060 + 8.05938i −0.170500 + 0.373344i
\(467\) −5.25407 + 6.06352i −0.243129 + 0.280586i −0.864178 0.503185i \(-0.832161\pi\)
0.621049 + 0.783772i \(0.286707\pi\)
\(468\) −11.7270 1.68608i −0.542079 0.0779393i
\(469\) 0.0525471 6.38564i 0.00242640 0.294861i
\(470\) −7.52413 + 6.51970i −0.347062 + 0.300731i
\(471\) −1.72146 2.67865i −0.0793207 0.123425i
\(472\) 4.54058 + 7.06528i 0.208997 + 0.325206i
\(473\) 1.11200 + 1.28332i 0.0511300 + 0.0590071i
\(474\) 8.38361 2.46165i 0.385072 0.113067i
\(475\) 0.269752 1.87617i 0.0123771 0.0860845i
\(476\) −34.7369 + 21.9222i −1.59216 + 1.00480i
\(477\) −6.82302 3.11597i −0.312405 0.142670i
\(478\) 26.9593 + 7.91596i 1.23309 + 0.362067i
\(479\) −0.337016 0.737963i −0.0153987 0.0337184i 0.901776 0.432203i \(-0.142264\pi\)
−0.917175 + 0.398484i \(0.869536\pi\)
\(480\) 8.16172 1.17348i 0.372530 0.0535617i
\(481\) 1.71349 + 1.10119i 0.0781282 + 0.0502099i
\(482\) 44.6778 2.03502
\(483\) −8.00969 9.84098i −0.364454 0.447780i
\(484\) 31.5031 1.43196
\(485\) −6.98831 4.49111i −0.317323 0.203931i
\(486\) 2.18492 0.314144i 0.0991099 0.0142498i
\(487\) −1.16815 2.55788i −0.0529338 0.115909i 0.881317 0.472525i \(-0.156658\pi\)
−0.934251 + 0.356617i \(0.883930\pi\)
\(488\) −9.83674 2.88833i −0.445288 0.130748i
\(489\) 15.2060 + 6.94433i 0.687638 + 0.314034i
\(490\) −17.1805 + 4.73897i −0.776135 + 0.214085i
\(491\) −0.789073 + 5.48813i −0.0356104 + 0.247676i −0.999849 0.0173588i \(-0.994474\pi\)
0.964239 + 0.265034i \(0.0853833\pi\)
\(492\) 26.0182 7.63962i 1.17299 0.344421i
\(493\) −29.5876 34.1459i −1.33256 1.53786i
\(494\) 2.54237 + 3.95600i 0.114386 + 0.177989i
\(495\) −0.113393 0.176443i −0.00509665 0.00793054i
\(496\) −3.97039 + 3.44036i −0.178276 + 0.154477i
\(497\) 24.8912 + 0.204828i 1.11652 + 0.00918781i
\(498\) −19.6372 2.82341i −0.879966 0.126520i
\(499\) −21.6534 + 24.9894i −0.969341 + 1.11868i 0.0235580 + 0.999722i \(0.492501\pi\)
−0.992899 + 0.118957i \(0.962045\pi\)
\(500\) 11.9326 26.1287i 0.533641 1.16851i
\(501\) 13.8174 + 4.05715i 0.617316 + 0.181260i
\(502\) 3.03440 + 6.64441i 0.135432 + 0.296555i
\(503\) 1.81101 + 12.5959i 0.0807491 + 0.561623i 0.989528 + 0.144344i \(0.0461071\pi\)
−0.908778 + 0.417279i \(0.862984\pi\)
\(504\) 3.30528 + 3.87853i 0.147229 + 0.172763i
\(505\) 6.19292i 0.275581i
\(506\) 1.92454 + 0.0435080i 0.0855563 + 0.00193417i
\(507\) 4.01071i 0.178122i
\(508\) −19.9638 12.8299i −0.885750 0.569237i
\(509\) −13.4497 + 1.93377i −0.596146 + 0.0857129i −0.433782 0.901018i \(-0.642821\pi\)
−0.162365 + 0.986731i \(0.551912\pi\)
\(510\) 12.5169 5.71628i 0.554258 0.253121i
\(511\) −9.37777 + 14.3314i −0.414848 + 0.633985i
\(512\) −6.82555 + 14.9459i −0.301649 + 0.660520i
\(513\) −0.390362 0.338251i −0.0172349 0.0149341i
\(514\) −10.2495 1.47366i −0.452087 0.0650002i
\(515\) −6.53852 + 1.91988i −0.288122 + 0.0846001i
\(516\) 17.5662 + 20.2725i 0.773309 + 0.892446i
\(517\) −0.598193 + 0.384435i −0.0263085 + 0.0169074i
\(518\) −0.789763 2.77392i −0.0347002 0.121879i
\(519\) −3.75613 4.33480i −0.164876 0.190277i
\(520\) 2.58137 + 8.79133i 0.113200 + 0.385525i
\(521\) −0.205262 + 1.42763i −0.00899270 + 0.0625456i −0.993824 0.110971i \(-0.964604\pi\)
0.984831 + 0.173517i \(0.0555130\pi\)
\(522\) −12.0842 + 13.9459i −0.528910 + 0.610395i
\(523\) −10.3203 + 22.5983i −0.451274 + 0.988153i 0.538116 + 0.842871i \(0.319136\pi\)
−0.989390 + 0.145282i \(0.953591\pi\)
\(524\) 7.17752 24.4444i 0.313551 1.06786i
\(525\) −9.62121 + 1.30261i −0.419904 + 0.0568505i
\(526\) 27.3978 3.93920i 1.19460 0.171757i
\(527\) −10.2781 + 15.9931i −0.447723 + 0.696671i
\(528\) 0.271592 0.0118195
\(529\) −22.9765 1.03939i −0.998978 0.0451908i
\(530\) 19.0973i 0.829532i
\(531\) −2.35745 + 3.66826i −0.102305 + 0.159189i
\(532\) 0.590627 3.88092i 0.0256069 0.168259i
\(533\) −16.1737 35.4155i −0.700562 1.53402i
\(534\) 11.3096 38.5171i 0.489415 1.66680i
\(535\) 12.9690 + 5.92275i 0.560699 + 0.256063i
\(536\) 3.51332 + 3.04431i 0.151752 + 0.131494i
\(537\) 9.30902 + 1.33843i 0.401714 + 0.0577577i
\(538\) 11.7258 + 39.9344i 0.505536 + 1.72170i
\(539\) −1.26275 + 0.160393i −0.0543907 + 0.00690863i
\(540\) −1.79126 2.78726i −0.0770836 0.119944i
\(541\) −2.54177 + 1.63350i −0.109279 + 0.0702296i −0.594139 0.804362i \(-0.702507\pi\)
0.484860 + 0.874592i \(0.338871\pi\)
\(542\) −52.4710 + 45.4663i −2.25382 + 1.95295i
\(543\) −1.87707 6.39273i −0.0805530 0.274338i
\(544\) −5.49875 + 38.2446i −0.235757 + 1.63973i
\(545\) 17.5964 + 15.2474i 0.753748 + 0.653126i
\(546\) 15.9231 18.0736i 0.681446 0.773477i
\(547\) −7.35915 2.16084i −0.314655 0.0923909i 0.120592 0.992702i \(-0.461521\pi\)
−0.435247 + 0.900311i \(0.643339\pi\)
\(548\) −8.68390 + 3.96580i −0.370958 + 0.169411i
\(549\) −0.757513 5.26862i −0.0323299 0.224859i
\(550\) 0.796358 1.23916i 0.0339568 0.0528378i
\(551\) 4.31797 0.183952
\(552\) 9.23469 + 0.208768i 0.393054 + 0.00888575i
\(553\) −3.03310 + 10.0239i −0.128980 + 0.426259i
\(554\) −6.94181 4.46123i −0.294929 0.189539i
\(555\) 0.0810634 + 0.563808i 0.00344095 + 0.0239323i
\(556\) 27.9407 12.7601i 1.18495 0.541147i
\(557\) 4.74966 16.1758i 0.201249 0.685393i −0.795582 0.605846i \(-0.792835\pi\)
0.996831 0.0795464i \(-0.0253472\pi\)
\(558\) 7.06283 + 3.22549i 0.298994 + 0.136546i
\(559\) 25.2215 29.1072i 1.06676 1.23110i
\(560\) −1.92741 + 4.13016i −0.0814480 + 0.174531i
\(561\) 0.942994 0.276888i 0.0398132 0.0116902i
\(562\) −0.869246 + 0.753206i −0.0366669 + 0.0317721i
\(563\) 31.8865 20.4922i 1.34385 0.863642i 0.346622 0.938005i \(-0.387329\pi\)
0.997231 + 0.0743625i \(0.0236922\pi\)
\(564\) −9.44959 + 6.07288i −0.397899 + 0.255714i
\(565\) 10.2506 8.88216i 0.431244 0.373675i
\(566\) −43.6733 + 12.8237i −1.83573 + 0.539018i
\(567\) −1.11885 + 2.39753i −0.0469873 + 0.100687i
\(568\) −11.8667 + 13.6949i −0.497916 + 0.574625i
\(569\) −30.8000 14.0659i −1.29120 0.589672i −0.352956 0.935640i \(-0.614823\pi\)
−0.938246 + 0.345968i \(0.887551\pi\)
\(570\) −0.370499 + 1.26180i −0.0155185 + 0.0528512i
\(571\) −13.3561 + 6.09952i −0.558934 + 0.255257i −0.674791 0.738009i \(-0.735766\pi\)
0.115856 + 0.993266i \(0.463039\pi\)
\(572\) 0.306602 + 2.13247i 0.0128197 + 0.0891629i
\(573\) −7.42828 4.77386i −0.310321 0.199431i
\(574\) −15.9669 + 52.7680i −0.666445 + 2.20249i
\(575\) −9.84695 + 14.5864i −0.410646 + 0.608296i
\(576\) 12.7934 0.533059
\(577\) 4.34932 6.76768i 0.181065 0.281742i −0.738843 0.673878i \(-0.764627\pi\)
0.919907 + 0.392136i \(0.128264\pi\)
\(578\) 3.83591 + 26.6794i 0.159553 + 1.10972i
\(579\) 11.3373 5.17757i 0.471162 0.215173i
\(580\) 26.5755 + 7.80328i 1.10349 + 0.324013i
\(581\) 15.7193 17.8423i 0.652147 0.740221i
\(582\) −12.0149 10.4109i −0.498033 0.431548i
\(583\) −0.194114 + 1.35009i −0.00803938 + 0.0559151i
\(584\) −3.51267 11.9630i −0.145355 0.495034i
\(585\) −3.59519 + 3.11525i −0.148643 + 0.128800i
\(586\) −61.9750 + 39.8289i −2.56016 + 1.64532i
\(587\) −10.9306 17.0083i −0.451153 0.702008i 0.538952 0.842337i \(-0.318821\pi\)
−0.990105 + 0.140328i \(0.955184\pi\)
\(588\) −19.9476 + 2.53372i −0.822625 + 0.104489i
\(589\) −0.511873 1.74328i −0.0210913 0.0718305i
\(590\) 10.9888 + 1.57995i 0.452402 + 0.0650456i
\(591\) −15.5091 13.4387i −0.637961 0.552796i
\(592\) −0.670931 0.306404i −0.0275751 0.0125931i
\(593\) 5.76555 19.6357i 0.236763 0.806340i −0.752297 0.658824i \(-0.771054\pi\)
0.989060 0.147516i \(-0.0471276\pi\)
\(594\) −0.166746 0.365124i −0.00684169 0.0149812i
\(595\) −2.48147 + 16.3054i −0.101730 + 0.668454i
\(596\) 6.03759 9.39467i 0.247309 0.384821i
\(597\) 0.233593i 0.00956033i
\(598\) −5.23539 43.3470i −0.214091 1.77259i
\(599\) −42.0998 −1.72015 −0.860076 0.510166i \(-0.829584\pi\)
−0.860076 + 0.510166i \(0.829584\pi\)
\(600\) 3.82123 5.94595i 0.156001 0.242742i
\(601\) −43.0800 + 6.19397i −1.75727 + 0.252657i −0.944168 0.329464i \(-0.893132\pi\)
−0.813102 + 0.582122i \(0.802223\pi\)
\(602\) −54.0436 + 7.31691i −2.20265 + 0.298215i
\(603\) −0.679997 + 2.31586i −0.0276916 + 0.0943090i
\(604\) −23.9109 + 52.3576i −0.972922 + 2.13040i
\(605\) 8.28355 9.55972i 0.336774 0.388658i
\(606\) −1.68671 + 11.7314i −0.0685181 + 0.476554i
\(607\) −11.9954 40.8525i −0.486877 1.65815i −0.726409 0.687263i \(-0.758812\pi\)
0.239531 0.970889i \(-0.423006\pi\)
\(608\) −2.41814 2.79068i −0.0980686 0.113177i
\(609\) −6.05643 21.2723i −0.245419 0.861997i
\(610\) −11.4006 + 7.32671i −0.461596 + 0.296650i
\(611\) 10.5616 + 12.1887i 0.427275 + 0.493102i
\(612\) 14.8964 4.37397i 0.602150 0.176807i
\(613\) 24.3624 + 3.50278i 0.983987 + 0.141476i 0.615483 0.788150i \(-0.288961\pi\)
0.368504 + 0.929626i \(0.379870\pi\)
\(614\) −33.7453 29.2405i −1.36185 1.18005i
\(615\) 4.52305 9.90410i 0.182387 0.399372i
\(616\) 0.507381 0.775396i 0.0204430 0.0312416i
\(617\) −24.6619 + 11.2627i −0.992852 + 0.453420i −0.844524 0.535518i \(-0.820116\pi\)
−0.148328 + 0.988938i \(0.547389\pi\)
\(618\) −12.9089 + 1.85603i −0.519274 + 0.0746603i
\(619\) 7.04889 + 4.53005i 0.283319 + 0.182078i 0.674580 0.738202i \(-0.264325\pi\)
−0.391261 + 0.920280i \(0.627961\pi\)
\(620\) 11.6543i 0.468047i
\(621\) 1.89316 + 4.40635i 0.0759697 + 0.176821i
\(622\) 65.3138i 2.61884i
\(623\) 31.2085 + 36.6211i 1.25034 + 1.46719i
\(624\) −0.876661 6.09731i −0.0350945 0.244088i
\(625\) 2.83090 + 6.19881i 0.113236 + 0.247953i
\(626\) 69.3143 + 20.3525i 2.77035 + 0.813450i
\(627\) −0.0390183 + 0.0854381i −0.00155824 + 0.00341207i
\(628\) −5.98970 + 6.91248i −0.239015 + 0.275838i
\(629\) −2.64192 0.379851i −0.105340 0.0151457i
\(630\) 6.73589 + 0.0554292i 0.268364 + 0.00220835i
\(631\) −10.4959 + 9.09477i −0.417836 + 0.362057i −0.838260 0.545271i \(-0.816427\pi\)
0.420424 + 0.907328i \(0.361881\pi\)
\(632\) −4.12182 6.41368i −0.163957 0.255122i
\(633\) −5.63825 8.77328i −0.224100 0.348707i
\(634\) −33.2071 38.3230i −1.31882 1.52200i
\(635\) −9.14265 + 2.68452i −0.362815 + 0.106532i
\(636\) −3.06640 + 21.3273i −0.121591 + 0.845682i
\(637\) 7.67688 + 27.8315i 0.304169 + 1.10272i
\(638\) 3.05232 + 1.39395i 0.120843 + 0.0551869i
\(639\) −9.02721 2.65063i −0.357111 0.104857i
\(640\) −6.68023 14.6277i −0.264059 0.578209i
\(641\) −6.88192 + 0.989471i −0.271820 + 0.0390818i −0.276877 0.960905i \(-0.589299\pi\)
0.00505709 + 0.999987i \(0.498390\pi\)
\(642\) 22.9543 + 14.7518i 0.905934 + 0.582208i
\(643\) −12.7776 −0.503899 −0.251950 0.967740i \(-0.581072\pi\)
−0.251950 + 0.967740i \(0.581072\pi\)
\(644\) −20.6415 + 30.0405i −0.813388 + 1.18376i
\(645\) 10.7707 0.424095
\(646\) −5.18401 3.33156i −0.203962 0.131079i
\(647\) −41.7192 + 5.99831i −1.64015 + 0.235818i −0.899768 0.436369i \(-0.856264\pi\)
−0.740382 + 0.672187i \(0.765355\pi\)
\(648\) −0.800113 1.75200i −0.0314314 0.0688252i
\(649\) 0.760802 + 0.223391i 0.0298641 + 0.00876888i
\(650\) −30.3900 13.8786i −1.19199 0.544365i
\(651\) −7.87022 + 4.96685i −0.308458 + 0.194666i
\(652\) 6.83387 47.5306i 0.267635 1.86144i
\(653\) 40.2287 11.8122i 1.57427 0.462248i 0.626030 0.779799i \(-0.284679\pi\)
0.948241 + 0.317551i \(0.102861\pi\)
\(654\) 29.1804 + 33.6760i 1.14104 + 1.31684i
\(655\) −5.53045 8.60555i −0.216093 0.336247i
\(656\) 7.62247 + 11.8608i 0.297608 + 0.463087i
\(657\) 4.89225 4.23916i 0.190865 0.165385i
\(658\) 0.187921 22.8366i 0.00732591 0.890262i
\(659\) 26.5223 + 3.81333i 1.03316 + 0.148546i 0.637977 0.770055i \(-0.279771\pi\)
0.395185 + 0.918602i \(0.370681\pi\)
\(660\) −0.394544 + 0.455328i −0.0153576 + 0.0177236i
\(661\) −11.5124 + 25.2086i −0.447781 + 0.980503i 0.542324 + 0.840170i \(0.317545\pi\)
−0.990104 + 0.140333i \(0.955183\pi\)
\(662\) 26.1743 + 7.68546i 1.01729 + 0.298704i
\(663\) −9.26007 20.2767i −0.359631 0.787483i
\(664\) 2.46357 + 17.1345i 0.0956050 + 0.664947i
\(665\) −1.02238 1.19969i −0.0396461 0.0465221i
\(666\) 1.09011i 0.0422409i
\(667\) −36.0829 17.4747i −1.39714 0.676621i
\(668\) 41.3668i 1.60053i
\(669\) −15.3903 9.89077i −0.595025 0.382399i
\(670\) 6.08257 0.874542i 0.234990 0.0337865i
\(671\) −0.880444 + 0.402085i −0.0339892 + 0.0155223i
\(672\) −10.3565 + 15.8271i −0.399509 + 0.610543i
\(673\) 16.0175 35.0735i 0.617430 1.35198i −0.299945 0.953957i \(-0.596968\pi\)
0.917374 0.398026i \(-0.130305\pi\)
\(674\) 12.0923 + 10.4780i 0.465777 + 0.403598i
\(675\) 3.63230 + 0.522246i 0.139807 + 0.0201013i
\(676\) 11.0543 3.24583i 0.425165 0.124840i
\(677\) 21.2009 + 24.4671i 0.814816 + 0.940347i 0.999095 0.0425266i \(-0.0135407\pi\)
−0.184280 + 0.982874i \(0.558995\pi\)
\(678\) 21.8370 14.0338i 0.838644 0.538964i
\(679\) 18.3268 5.21782i 0.703319 0.200242i
\(680\) −7.86269 9.07403i −0.301521 0.347973i
\(681\) 1.13648 + 3.87049i 0.0435500 + 0.148318i
\(682\) 0.200937 1.39755i 0.00769427 0.0535148i
\(683\) 6.60020 7.61703i 0.252550 0.291458i −0.615291 0.788300i \(-0.710962\pi\)
0.867841 + 0.496842i \(0.165507\pi\)
\(684\) −0.616368 + 1.34966i −0.0235674 + 0.0516054i
\(685\) −1.07994 + 3.67794i −0.0412625 + 0.140527i
\(686\) 17.8955 36.7565i 0.683252 1.40337i
\(687\) 21.7938 3.13347i 0.831484 0.119549i
\(688\) −7.54033 + 11.7330i −0.287472 + 0.447315i
\(689\) 30.9366 1.17859
\(690\) 8.20253 9.04481i 0.312265 0.344330i
\(691\) 47.5765i 1.80990i −0.425523 0.904948i \(-0.639910\pi\)
0.425523 0.904948i \(-0.360090\pi\)
\(692\) −8.90775 + 13.8607i −0.338622 + 0.526906i
\(693\) 0.475634 + 0.0723855i 0.0180679 + 0.00274970i
\(694\) 3.96232 + 8.67626i 0.150408 + 0.329346i
\(695\) 3.47474 11.8339i 0.131804 0.448884i
\(696\) 14.6462 + 6.68870i 0.555163 + 0.253534i
\(697\) 38.5581 + 33.4108i 1.46049 + 1.26552i
\(698\) 28.5342 + 4.10259i 1.08003 + 0.155285i
\(699\) 1.13082 + 3.85123i 0.0427717 + 0.145667i
\(700\) 11.3766 + 25.4637i 0.429995 + 0.962439i
\(701\) 21.7919 + 33.9089i 0.823069 + 1.28072i 0.957104 + 0.289744i \(0.0935702\pi\)
−0.134035 + 0.990977i \(0.542793\pi\)
\(702\) −7.65890 + 4.92208i −0.289066 + 0.185772i
\(703\) 0.192779 0.167044i 0.00727080 0.00630019i
\(704\) −0.655419 2.23215i −0.0247021 0.0841275i
\(705\) −0.641875 + 4.46434i −0.0241744 + 0.168137i
\(706\) 22.0292 + 19.0884i 0.829081 + 0.718403i
\(707\) −10.6590 9.39077i −0.400874 0.353176i
\(708\) 12.0183 + 3.52889i 0.451675 + 0.132624i
\(709\) 31.5689 14.4170i 1.18559 0.541443i 0.277711 0.960665i \(-0.410424\pi\)
0.907884 + 0.419222i \(0.137697\pi\)
\(710\) 3.40896 + 23.7099i 0.127936 + 0.889815i
\(711\) 2.14003 3.32995i 0.0802574 0.124883i
\(712\) −35.0270 −1.31269
\(713\) −2.77754 + 16.6391i −0.104020 + 0.623141i
\(714\) −9.14164 + 30.2117i −0.342117 + 1.13064i
\(715\) 0.727723 + 0.467679i 0.0272153 + 0.0174902i
\(716\) −3.84472 26.7406i −0.143684 0.999344i
\(717\) 11.5785 5.28774i 0.432409 0.197474i
\(718\) 8.20934 27.9585i 0.306370 1.04340i
\(719\) −45.7299 20.8841i −1.70544 0.778847i −0.997353 0.0727180i \(-0.976833\pi\)
−0.708084 0.706129i \(-0.750440\pi\)
\(720\) 1.12811 1.30191i 0.0420422 0.0485192i
\(721\) 6.61040 14.1651i 0.246184 0.527537i
\(722\) −39.6764 + 11.6500i −1.47660 + 0.433569i
\(723\) 15.2965 13.2545i 0.568882 0.492939i
\(724\) −16.1005 + 10.3472i −0.598370 + 0.384549i
\(725\) −25.8073 + 16.5853i −0.958458 + 0.615964i
\(726\) 18.2954 15.8530i 0.679005 0.588361i
\(727\) 46.9637 13.7898i 1.74179 0.511434i 0.752647 0.658424i \(-0.228777\pi\)
0.989138 + 0.146989i \(0.0469583\pi\)
\(728\) −19.0456 8.88797i −0.705878 0.329410i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) −14.9919 6.84657i −0.554875 0.253403i
\(731\) −14.2190 + 48.4255i −0.525909 + 1.79108i
\(732\) −13.9083 + 6.35170i −0.514065 + 0.234766i
\(733\) −7.12408 49.5491i −0.263134 1.83014i −0.508921 0.860813i \(-0.669956\pi\)
0.245788 0.969324i \(-0.420953\pi\)
\(734\) −36.1566 23.2365i −1.33457 0.857673i
\(735\) −4.47623 + 6.71939i −0.165108 + 0.247849i
\(736\) 8.91329 + 33.1063i 0.328548 + 1.22032i
\(737\) 0.438901 0.0161671
\(738\) 11.2656 17.5296i 0.414692 0.645274i
\(739\) −2.65326 18.4538i −0.0976016 0.678834i −0.978609 0.205731i \(-0.934043\pi\)
0.881007 0.473103i \(-0.156866\pi\)
\(740\) 1.48836 0.679711i 0.0547132 0.0249867i
\(741\) 2.04406 + 0.600189i 0.0750903 + 0.0220485i
\(742\) −32.8695 28.9586i −1.20668 1.06310i
\(743\) 14.8752 + 12.8894i 0.545717 + 0.472867i 0.883548 0.468340i \(-0.155148\pi\)
−0.337831 + 0.941207i \(0.609693\pi\)
\(744\) 0.964172 6.70596i 0.0353483 0.245852i
\(745\) −1.26330 4.30240i −0.0462837 0.157628i
\(746\) 56.6362 49.0756i 2.07360 1.79678i
\(747\) −7.56088 + 4.85908i −0.276638 + 0.177784i
\(748\) −1.52631 2.37499i −0.0558075 0.0868382i
\(749\) −29.8599 + 13.3407i −1.09106 + 0.487458i
\(750\) −6.21869 21.1789i −0.227075 0.773345i
\(751\) 36.0102 + 5.17749i 1.31403 + 0.188929i 0.763458 0.645857i \(-0.223500\pi\)
0.550574 + 0.834786i \(0.314409\pi\)
\(752\) −4.41384 3.82461i −0.160956 0.139469i
\(753\) 3.01008 + 1.37466i 0.109693 + 0.0500953i
\(754\) 21.4421 73.0249i 0.780874 2.65941i
\(755\) 9.60087 + 21.0230i 0.349412 + 0.765104i
\(756\) 7.51354 + 1.14347i 0.273265 + 0.0415875i
\(757\) −8.12756 + 12.6467i −0.295401 + 0.459653i −0.956952 0.290247i \(-0.906262\pi\)
0.661550 + 0.749901i \(0.269899\pi\)
\(758\) 0.537475i 0.0195220i
\(759\) 0.671819 0.556054i 0.0243855 0.0201835i
\(760\) 1.14747 0.0416231
\(761\) −4.05170 + 6.30456i −0.146874 + 0.228540i −0.906894 0.421360i \(-0.861553\pi\)
0.760020 + 0.649900i \(0.225189\pi\)
\(762\) −18.0503 + 2.59523i −0.653892 + 0.0940154i
\(763\) −52.9260 + 7.16560i −1.91605 + 0.259412i
\(764\) −7.14605 + 24.3372i −0.258535 + 0.880489i
\(765\) 2.58962 5.67047i 0.0936278 0.205016i
\(766\) 20.9696 24.2002i 0.757664 0.874390i
\(767\) 2.55944 17.8013i 0.0924160 0.642767i
\(768\) −1.46183 4.97852i −0.0527491 0.179647i
\(769\) −15.1660 17.5025i −0.546901 0.631157i 0.413257 0.910614i \(-0.364391\pi\)
−0.960158 + 0.279457i \(0.909846\pi\)
\(770\) −0.335415 1.17810i −0.0120875 0.0424556i
\(771\) −3.94634 + 2.53616i −0.142124 + 0.0913376i
\(772\) −23.4456 27.0576i −0.843824 0.973825i
\(773\) 21.7140 6.37579i 0.