Properties

Label 483.2.r.a.412.6
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 412.6
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.85697 - 1.19340i) q^{2} +(0.989821 - 0.142315i) q^{3} +(1.19330 + 2.61296i) q^{4} +(-1.10668 - 0.324952i) q^{5} +(-2.00791 - 0.916981i) q^{6} +(1.07924 - 2.41562i) q^{7} +(0.274107 - 1.90645i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(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} +(1.07924 - 2.41562i) 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} +(-4.88694 + 3.19777i) 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} +(0.724480 - 2.54463i) 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} +(7.59980 - 0.0625383i) 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} +(-1.97934 + 2.32263i) 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} +(-4.38210 + 3.86070i) 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} +(-4.67046 - 5.21409i) 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} +(-4.30944 - 2.71967i) 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} +(0.354968 - 2.62183i) 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} +(-0.475634 + 0.0723855i) 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} +(7.51354 - 1.14347i) 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} +(2.45041 + 15.2562i) 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 0.0247390 0.999694i \(-0.492125\pi\)
−0.519664 + 0.854371i \(0.673943\pi\)
\(6\) −2.00791 0.916981i −0.819725 0.374356i
\(7\) 1.07924 2.41562i 0.407916 0.913020i
\(8\) 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 −0.104921 0.994481i \(-0.533459\pi\)
0.969426 + 0.245383i \(0.0789137\pi\)
\(14\) −4.88694 + 3.19777i −1.30609 + 0.854639i
\(15\) −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 \(0.363870\pi\)
−0.959286 + 0.282437i \(0.908857\pi\)
\(18\) −2.11797 0.621892i −0.499211 0.146581i
\(19\) −0.214571 0.469846i −0.0492261 0.107790i 0.883421 0.468580i \(-0.155234\pi\)
−0.932647 + 0.360790i \(0.882507\pi\)
\(20\) −0.471520 3.27949i −0.105435 0.733317i
\(21\) 0.724480 2.54463i 0.158094 0.555283i
\(22\) 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
\(28\) 7.59980 0.0625383i 1.43623 0.0118186i
\(29\) 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 0.447694 0.894187i \(-0.352245\pi\)
0.177638 + 0.984096i \(0.443154\pi\)
\(32\) −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
\(35\) −1.97934 + 2.32263i −0.334570 + 0.392596i
\(36\) 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 \(-0.645271\pi\)
0.856050 0.516892i \(-0.172911\pi\)
\(42\) −4.38210 + 3.86070i −0.676173 + 0.595719i
\(43\) −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 \(0.0920578\pi\)
−0.958470 + 0.285193i \(0.907942\pi\)
\(48\) 0.807475 1.25646i 0.116549 0.181354i
\(49\) −4.67046 5.21409i −0.667209 0.744870i
\(50\) 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
\(56\) −4.30944 2.71967i −0.575874 0.363431i
\(57\) −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 −0.413413 0.910544i \(-0.635663\pi\)
0.842441 + 0.538789i \(0.181118\pi\)
\(60\) −0.933441 3.17901i −0.120507 0.410408i
\(61\) −0.757513 + 5.26862i −0.0969896 + 0.674578i 0.882087 + 0.471086i \(0.156138\pi\)
−0.979077 + 0.203491i \(0.934771\pi\)
\(62\) −5.86801 5.08466i −0.745239 0.645753i
\(63\) 0.354968 2.62183i 0.0447217 0.330320i
\(64\) 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 −0.729045 0.684466i \(-0.760036\pi\)
0.0398614 + 0.999205i \(0.487308\pi\)
\(74\) −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
\(77\) −0.475634 + 0.0723855i −0.0542036 + 0.00824909i
\(78\) −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 0.228206 0.973613i \(-0.426714\pi\)
0.718354 + 0.695678i \(0.244896\pi\)
\(84\) 7.51354 1.14347i 0.819795 0.124762i
\(85\) 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 \(0.368693\pi\)
−0.126575 + 0.991957i \(0.540398\pi\)
\(90\) 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 0.613049 0.790045i \(-0.289943\pi\)
0.0885988 + 0.996067i \(0.471761\pi\)
\(98\) 2.45041 + 15.2562i 0.247528 + 1.54111i
\(99\) −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 0.849366 0.527804i \(-0.176984\pi\)
−0.999885 + 0.0151854i \(0.995166\pi\)
\(102\) 9.01627 7.81265i 0.892744 0.773567i
\(103\) 4.97030 3.19422i 0.489738 0.314735i −0.272362 0.962195i \(-0.587805\pi\)
0.762100 + 0.647459i \(0.224168\pi\)
\(104\) −4.29476 6.68278i −0.421136 0.655301i
\(105\) −1.62865 + 2.58068i −0.158940 + 0.251849i
\(106\) 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
\(112\) −1.67106 3.58084i −0.157900 0.338358i
\(113\) 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
\(119\) 9.45277 + 10.7294i 0.866534 + 0.983562i
\(120\) −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
\(126\) −3.78806 + 4.44504i −0.337468 + 0.395996i
\(127\) −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 0.896520 0.443003i \(-0.146087\pi\)
−0.310906 + 0.950441i \(0.600632\pi\)
\(132\) 0.216993 0.475149i 0.0188868 0.0413564i
\(133\) −1.36655 + 0.0112452i −0.118495 + 0.000975085i
\(134\) 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 \(0.149820\pi\)
−0.891262 + 0.453488i \(0.850180\pi\)
\(140\) −8.43091 2.40036i −0.712542 0.202867i
\(141\) 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
\(147\) −5.36497 4.49634i −0.442495 0.370852i
\(148\) 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
\(154\) 0.969624 + 0.433206i 0.0781345 + 0.0349087i
\(155\) −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 0.849477 0.527626i \(-0.176918\pi\)
−0.955042 + 0.296470i \(0.904190\pi\)
\(158\) −8.64861 + 1.24348i −0.688046 + 0.0989261i
\(159\) −6.31012 4.05527i −0.500425 0.321604i
\(160\) 8.24565 0.651876
\(161\) −11.4650 5.43638i −0.903567 0.428447i
\(162\) −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 0.851787 0.523889i \(-0.175519\pi\)
0.161873 + 0.986812i \(0.448247\pi\)
\(168\) −4.65263 2.07869i −0.358958 0.160374i
\(169\) 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 0.703131 0.711061i \(-0.251785\pi\)
−0.938895 + 0.344205i \(0.888148\pi\)
\(174\) −13.9459 + 12.0842i −1.05724 + 0.916099i
\(175\) −8.12426 + 5.31611i −0.614136 + 0.401860i
\(176\) −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 \(-0.965808\pi\)
0.923758 0.382977i \(-0.125101\pi\)
\(182\) −6.59577 + 23.1667i −0.488911 + 1.71723i
\(183\) 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
\(189\) −0.0217710 2.64566i −0.00158361 0.192444i
\(190\) 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
\(196\) 8.05097 18.4257i 0.575069 1.31612i
\(197\) 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 −0.988609 0.150505i \(-0.951910\pi\)
0.990966 + 0.134115i \(0.0428191\pi\)
\(200\) −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
\(203\) −14.6210 16.5957i −1.02620 1.16479i
\(204\) −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
\(210\) 6.10415 2.84861i 0.421226 0.196573i
\(211\) 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
\(217\) 4.96685 7.87022i 0.337172 0.534265i
\(218\) −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 0.0546933 0.998503i \(-0.482582\pi\)
−0.980556 + 0.196238i \(0.937127\pi\)
\(224\) −2.53765 + 18.7434i −0.169554 + 1.25234i
\(225\) −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 0.999964 0.00852707i \(-0.00271428\pi\)
−0.961860 + 0.273541i \(0.911805\pi\)
\(228\) 0.802170 1.24820i 0.0531250 0.0826641i
\(229\) 22.0179 1.45498 0.727491 0.686117i \(-0.240686\pi\)
0.727491 + 0.686117i \(0.240686\pi\)
\(230\) 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
\(238\) −4.74903 31.2051i −0.307834 2.02273i
\(239\) −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 0.138431 0.990372i \(-0.455794\pi\)
0.958380 + 0.285495i \(0.0921579\pi\)
\(242\) −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
\(245\) 3.47440 + 7.28803i 0.221971 + 0.465615i
\(246\) −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 0.625541 0.780192i \(-0.284878\pi\)
−0.449828 + 0.893115i \(0.648515\pi\)
\(252\) 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 −0.544032 0.839064i \(-0.683103\pi\)
0.277857 + 0.960622i \(0.410376\pi\)
\(258\) 19.7779 + 5.80733i 1.23132 + 0.361548i
\(259\) −1.29478 0.175300i −0.0804539 0.0108926i
\(260\) −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
\(266\) 2.55106 + 1.60996i 0.156415 + 0.0987128i
\(267\) 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 0.970275 0.242004i \(-0.0778047\pi\)
−0.101456 + 0.994840i \(0.532350\pi\)
\(270\) 2.31593 + 1.05765i 0.140943 + 0.0643666i
\(271\) −8.86135 + 30.1790i −0.538289 + 1.83324i 0.0144607 + 0.999895i \(0.495397\pi\)
−0.552749 + 0.833348i \(0.686421\pi\)
\(272\) 3.35331 + 7.34272i 0.203324 + 0.445218i
\(273\) −4.61459 9.88840i −0.279288 0.598473i
\(274\) 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
\(280\) 3.88543 + 4.41018i 0.232199 + 0.263558i
\(281\) 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 −0.998526 0.0542754i \(-0.982715\pi\)
0.195828 + 0.980638i \(0.437261\pi\)
\(284\) 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
\(287\) −19.0093 16.1997i −1.12208 0.956236i
\(288\) −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 \(0.564855\pi\)
−0.607611 + 0.794235i \(0.707872\pi\)
\(294\) 4.59664 + 14.7521i 0.268082 + 0.860363i
\(295\) −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
\(301\) −6.76531 + 23.7621i −0.389946 + 1.36963i
\(302\) −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 −0.455156 0.890412i \(-0.650416\pi\)
−0.687577 + 0.726112i \(0.741326\pi\)
\(308\) −0.756716 1.15644i −0.0431179 0.0658942i
\(309\) 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 \(-0.865010\pi\)
0.00431606 0.999991i \(-0.498626\pi\)
\(312\) −5.20211 6.00355i −0.294511 0.339884i
\(313\) 31.4011 9.22018i 1.77489 0.521156i 0.780337 0.625359i \(-0.215048\pi\)
0.994556 + 0.104204i \(0.0332294\pi\)
\(314\) −1.00027 + 6.95702i −0.0564484 + 0.392607i
\(315\) −1.24481 + 2.78619i −0.0701369 + 0.156984i
\(316\) 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
\(322\) 14.8023 + 23.7775i 0.824902 + 1.32507i
\(323\) 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
\(329\) 9.44598 + 4.22025i 0.520774 + 0.232670i
\(330\) 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
\(336\) −2.16366 3.30658i −0.118037 0.180389i
\(337\) −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
\(343\) −17.6359 + 5.65480i −0.952246 + 0.305331i
\(344\) 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 −0.0712667 0.997457i \(-0.522704\pi\)
0.707158 + 0.707055i \(0.249977\pi\)
\(350\) 21.4308 0.176353i 1.14552 0.00942644i
\(351\) 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 0.481080 0.876677i \(-0.340245\pi\)
0.214605 + 0.976701i \(0.431154\pi\)
\(354\) −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
\(357\) 10.8835 + 9.27492i 0.576016 + 0.490881i
\(358\) 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
\(364\) 23.5198 20.7213i 1.23277 1.08609i
\(365\) 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 \(-0.669682\pi\)
−0.508183 + 0.861249i \(0.669682\pi\)
\(368\) −5.30590 4.81180i −0.276589 0.250832i
\(369\) 9.43989i 0.491421i
\(370\) 0.679769 1.05774i 0.0353395 0.0549894i
\(371\) −17.9836 + 8.39234i −0.933660 + 0.435709i
\(372\) 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
\(378\) −3.11691 + 4.93890i −0.160317 + 0.254030i
\(379\) 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 \(-0.833689\pi\)
0.972074 0.234673i \(-0.0754018\pi\)
\(384\) −10.5367 9.13011i −0.537699 0.465919i
\(385\) 0.549899 + 0.0744504i 0.0280255 + 0.00379434i
\(386\) 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 0.0790260 0.996873i \(-0.474819\pi\)
−0.701635 + 0.712537i \(0.747546\pi\)
\(398\) −0.337666 + 0.389687i −0.0169257 + 0.0195332i
\(399\) −1.35104 + 0.205610i −0.0676364 + 0.0102934i
\(400\) −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
\(406\) 7.34554 + 48.2664i 0.364553 + 2.39542i
\(407\) −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 −0.880959 0.473193i \(-0.843101\pi\)
0.996937 + 0.0782073i \(0.0249196\pi\)
\(410\) 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 0.393935 0.919138i \(-0.371114\pi\)
−0.165525 + 0.986206i \(0.552932\pi\)
\(420\) −8.68670 1.17608i −0.423867 0.0573871i
\(421\) 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
\(427\) 11.9095 + 7.51599i 0.576339 + 0.363724i
\(428\) 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 0.827091 0.562068i \(-0.189994\pi\)
−0.966412 + 0.256997i \(0.917267\pi\)
\(434\) −18.6156 + 8.68731i −0.893580 + 0.417004i
\(435\) −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 \(-0.625447\pi\)
0.999412 0.0342879i \(-0.0109163\pi\)
\(440\) 0.399857 0.0574907i 0.0190624 0.00274076i
\(441\) −5.95026 3.68706i −0.283346 0.175574i
\(442\) 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
\(448\) 21.9546 25.7623i 1.03726 1.21715i
\(449\) 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
\(455\) 0.103567 + 12.5857i 0.00485530 + 0.590027i
\(456\) −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 \(-0.868195\pi\)
0.915488 0.402344i \(-0.131805\pi\)
\(462\) 1.02141 + 0.290804i 0.0475201 + 0.0135294i
\(463\) −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 −0.621049 0.783772i \(-0.713293\pi\)
0.864178 + 0.503185i \(0.167839\pi\)
\(468\) 11.7270 + 1.68608i 0.542079 + 0.0779393i
\(469\) 3.49654 + 5.34353i 0.161455 + 0.246741i
\(470\) −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
\(476\) −16.7555 + 37.5032i −0.767989 + 1.71895i
\(477\) −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 0.917175 0.398484i \(-0.130464\pi\)
−0.901776 + 0.432203i \(0.857736\pi\)
\(480\) 8.16172 1.17348i 0.372530 0.0535617i
\(481\) −1.71349 1.10119i −0.0781282 0.0502099i
\(482\) −44.6778 −2.03502
\(483\) −12.1220 3.74941i −0.551568 0.170604i
\(484\) 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
\(490\) 2.24569 17.6800i 0.101450 0.798702i
\(491\) −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
\(497\) −20.8291 + 13.6295i −0.934312 + 0.611368i
\(498\) −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 \(-0.953893\pi\)
0.908778 0.417279i \(-0.137016\pi\)
\(504\) −4.90110 1.39539i −0.218312 0.0621556i
\(505\) 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 0.162365 0.986731i \(-0.448088\pi\)
0.433782 + 0.901018i \(0.357179\pi\)
\(510\) −12.5169 + 5.71628i −0.554258 + 0.253121i
\(511\) 0.140932 + 17.1264i 0.00623446 + 0.757626i
\(512\) −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
\(518\) 2.19517 + 1.87072i 0.0964503 + 0.0821949i
\(519\) −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 −0.984831 0.173517i \(-0.944487\pi\)
0.993824 + 0.110971i \(0.0353961\pi\)
\(522\) −12.0842 + 13.9459i −0.528910 + 0.610395i
\(523\) 10.3203 22.5983i 0.451274 0.988153i −0.538116 0.842871i \(-0.680864\pi\)
0.989390 0.145282i \(-0.0464089\pi\)
\(524\) −7.17752 + 24.4444i −0.313551 + 1.06786i
\(525\) −7.28500 + 6.41820i −0.317944 + 0.280113i
\(526\) 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
\(532\) −1.66008 3.55732i −0.0719738 0.154229i
\(533\) −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
\(539\) −0.338469 + 1.22707i −0.0145789 + 0.0528538i
\(540\) −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
\(546\) −3.23168 + 23.8695i −0.138303 + 1.02152i
\(547\) −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
\(560\) 0.685737 + 4.50588i 0.0289777 + 0.190408i
\(561\) 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 −0.997231 0.0743625i \(-0.976308\pi\)
−0.346622 + 0.938005i \(0.612671\pi\)
\(564\) −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
\(567\) −0.398066 2.61563i −0.0167172 0.109846i
\(568\) −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 −0.919907 0.392136i \(-0.871736\pi\)
0.738843 + 0.673878i \(0.235373\pi\)
\(578\) 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
\(581\) 3.19032 23.5641i 0.132357 0.977602i
\(582\) −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 0.990105 0.140328i \(-0.0448158\pi\)
−0.538952 + 0.842337i \(0.681179\pi\)
\(588\) 5.34677 19.3840i 0.220497 0.799381i
\(589\) −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 \(0.228946\pi\)
−0.989060 + 0.147516i \(0.952872\pi\)
\(594\) 0.166746 + 0.365124i 0.00684169 + 0.0149812i
\(595\) −6.97470 14.9458i −0.285935 0.612716i
\(596\) 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 0.813102 0.582122i \(-0.197777\pi\)
0.944168 + 0.329464i \(0.106868\pi\)
\(602\) 40.9208 36.0518i 1.66781 1.46936i
\(603\) −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 \(0.241188\pi\)
−0.239531 + 0.970889i \(0.576994\pi\)
\(608\) 2.41814 + 2.79068i 0.0980686 + 0.113177i
\(609\) −16.8340 14.3459i −0.682149 0.581327i
\(610\) −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
\(616\) 0.00762507 + 0.926616i 0.000307223 + 0.0373344i
\(617\) −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 0.391261 0.920280i \(-0.372039\pi\)
−0.674580 + 0.738202i \(0.735675\pi\)
\(620\) 11.6543i 0.468047i
\(621\) −1.89316 4.40635i −0.0759697 0.176821i
\(622\) 65.3138i 2.61884i
\(623\) 46.2762 + 13.1753i 1.85402 + 0.527856i
\(624\) −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
\(630\) 5.63662 3.68832i 0.224568 0.146946i
\(631\) −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
\(637\) −28.6407 3.63791i −1.13479 0.144139i
\(638\) 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 \(-0.418928\pi\)
0.251950 + 0.967740i \(0.418928\pi\)
\(644\) 0.523906 36.4448i 0.0206448 1.43613i
\(645\) 10.7707 0.424095
\(646\) −5.18401 3.33156i −0.203962 0.131079i
\(647\) 41.7192 5.99831i 1.64015 0.235818i 0.740382 0.672187i \(-0.234645\pi\)
0.899768 + 0.436369i \(0.143736\pi\)
\(648\) −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
\(651\) 3.79625 8.49697i 0.148787 0.333023i
\(652\) 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
\(658\) −12.5045 19.1097i −0.487475 0.744975i
\(659\) 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 \(-0.682455\pi\)
0.990104 0.140333i \(-0.0448173\pi\)
\(662\) 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
\(665\) 1.51599 + 0.431617i 0.0587876 + 0.0167374i
\(666\) 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
\(672\) 0.155640 + 18.9137i 0.00600394 + 0.729613i
\(673\) 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 0.184280 0.982874i \(-0.441005\pi\)
−0.999095 + 0.0425266i \(0.986459\pi\)
\(678\) −21.8370 + 14.0338i −0.838644 + 0.538964i
\(679\) 12.3595 14.5031i 0.474316 0.556578i
\(680\) −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
\(686\) 39.4977 + 10.5459i 1.50803 + 0.402643i
\(687\) 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 \(0.360090\pi\)
−0.425523 + 0.904948i \(0.639910\pi\)
\(692\) 8.90775 13.8607i 0.338622 0.526906i
\(693\) −0.435974 + 0.203455i −0.0165613 + 0.00772862i
\(694\) 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
\(700\) −23.5855 14.8847i −0.891448 0.562588i
\(701\) 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
\(707\) −14.0772 1.90591i −0.529429 0.0716790i
\(708\) 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 \(0.0231673\pi\)
0.708084 + 0.706129i \(0.249560\pi\)
\(720\) −1.12811 + 1.30191i −0.0420422 + 0.0485192i
\(721\) −2.35186 15.4537i −0.0875877 0.575526i
\(722\) −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 −0.989138 0.146989i \(-0.953042\pi\)
−0.752647 + 0.658424i \(0.771223\pi\)
\(728\) −20.7782 + 3.16217i −0.770091 + 0.117198i
\(729\) 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 \(0.330044\pi\)
−0.245788 + 0.969324i \(0.579047\pi\)
\(734\) 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
\(742\) 43.4104 + 5.87730i 1.59365 + 0.215762i
\(743\) 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
\(749\) 17.4544 27.6574i 0.637770 1.01058i
\(750\) −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
\(756\) 6.88704 3.21396i 0.250479 0.116891i
\(757\) −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 −0.760020 0.649900i \(-0.774811\pi\)
0.906894 + 0.421360i \(0.138447\pi\)
\(762\) 18.0503 2.59523i 0.653892 0.0940154i
\(763\) 40.0745 35.3063i 1.45080 1.27817i
\(764\) −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 0.960158 0.279457i \(-0.0901545\pi\)
−0.413257 + 0.910614i \(0.635609\pi\)
\(770\) −0.932297 0.794503i −0.0335977 0.0286319i
\(771\) −3.94634 + 2.53616i −0.142124 + 0.0913376i
\(772\) −23.4456 27.0576i −0.843824 0.973825i
\(773\) −21.7140 + 6.37579i