Properties

Label 966.2.s.a.97.11
Level $966$
Weight $2$
Character 966.97
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 97.11
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.126102 + 0.877058i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(2.49385 - 0.883586i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.126102 + 0.877058i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(2.49385 - 0.883586i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(0.368090 - 0.806004i) q^{10} +(-0.964515 - 3.28484i) q^{11} +(0.281733 + 0.959493i) q^{12} +(4.25048 + 1.94113i) q^{13} +(-2.64176 + 0.145197i) q^{14} +(-0.669652 + 0.580257i) q^{15} +(0.415415 + 0.909632i) q^{16} +(3.13323 - 2.01361i) q^{17} +(0.142315 - 0.989821i) q^{18} +(-1.89160 - 1.21566i) q^{19} +(-0.580257 + 0.669652i) q^{20} +(2.46335 + 0.965353i) q^{21} +3.42351i q^{22} +(-3.88983 - 2.80521i) q^{23} -1.00000i q^{24} +(4.04414 + 1.18747i) q^{25} +(-3.53143 - 3.06000i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(2.57566 + 0.604956i) q^{28} +(4.84907 - 3.11631i) q^{29} +(0.806004 - 0.368090i) q^{30} +(-0.664410 + 0.575715i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(1.42218 - 3.11414i) q^{33} +(-3.57361 + 1.04931i) q^{34} +(0.460477 + 2.29867i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(-3.36929 + 0.484431i) q^{37} +(1.47249 + 1.69934i) q^{38} +(1.94113 + 4.25048i) q^{39} +(0.745415 - 0.479049i) q^{40} +(3.73926 + 0.537625i) q^{41} +(-2.09160 - 1.62026i) q^{42} +(0.231881 + 0.200926i) q^{43} +(0.964515 - 3.28484i) q^{44} -0.886077 q^{45} +(2.94194 + 3.78748i) q^{46} +3.46317i q^{47} +(-0.281733 + 0.959493i) q^{48} +(5.43855 - 4.40706i) q^{49} +(-3.54577 - 2.27873i) q^{50} +(3.68657 + 0.530049i) q^{51} +(2.52628 + 3.93097i) q^{52} +(-9.13631 + 4.17241i) q^{53} +(0.755750 - 0.654861i) q^{54} +(3.00262 - 0.431711i) q^{55} +(-2.30089 - 1.30610i) q^{56} +(-0.633489 - 2.15747i) q^{57} +(-5.53062 + 1.62394i) q^{58} +(9.72355 + 4.44060i) q^{59} +(-0.877058 + 0.126102i) q^{60} +(5.41747 + 6.25210i) q^{61} +(0.799694 - 0.365208i) q^{62} +(1.22950 + 2.34272i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-2.23848 + 3.48314i) q^{65} +(-2.24192 + 2.58732i) q^{66} +(-2.17715 + 7.41469i) q^{67} +3.72448 q^{68} +(-1.10271 - 4.66734i) q^{69} +(0.205785 - 2.33529i) q^{70} +(-4.38966 - 1.28892i) q^{71} +(0.654861 - 0.755750i) q^{72} +(6.72425 - 10.4631i) q^{73} +(3.36929 + 0.484431i) q^{74} +(2.27873 + 3.54577i) q^{75} +(-0.934080 - 2.04535i) q^{76} +(-5.30779 - 7.33965i) q^{77} +(-0.665001 - 4.62519i) q^{78} +(6.68301 + 3.05203i) q^{79} +(-0.850184 + 0.249637i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-3.43633 - 1.56932i) q^{82} +(-0.727988 - 5.06327i) q^{83} +(1.55039 + 2.14389i) q^{84} +(1.37094 + 3.00195i) q^{85} +(-0.165881 - 0.258115i) q^{86} +(5.70544 + 0.820318i) q^{87} +(-1.85089 + 2.88004i) q^{88} +(-8.05982 + 9.30153i) q^{89} +(0.850184 + 0.249637i) q^{90} +(12.3152 + 1.08521i) q^{91} +(-1.75572 - 4.46290i) q^{92} -0.879141 q^{93} +(0.975687 - 3.32289i) q^{94} +(1.30473 - 1.50574i) q^{95} +(0.540641 - 0.841254i) q^{96} +(-1.17133 + 8.14677i) q^{97} +(-6.45986 + 2.69633i) q^{98} +(3.11414 - 1.42218i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) 0.755750 + 0.654861i 0.436332 + 0.378084i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) −0.126102 + 0.877058i −0.0563945 + 0.392232i 0.942001 + 0.335610i \(0.108942\pi\)
−0.998396 + 0.0566226i \(0.981967\pi\)
\(6\) −0.540641 0.841254i −0.220716 0.343440i
\(7\) 2.49385 0.883586i 0.942586 0.333964i
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) 0.142315 + 0.989821i 0.0474383 + 0.329940i
\(10\) 0.368090 0.806004i 0.116400 0.254881i
\(11\) −0.964515 3.28484i −0.290812 0.990415i −0.967231 0.253898i \(-0.918287\pi\)
0.676419 0.736517i \(-0.263531\pi\)
\(12\) 0.281733 + 0.959493i 0.0813292 + 0.276982i
\(13\) 4.25048 + 1.94113i 1.17887 + 0.538372i 0.905835 0.423631i \(-0.139245\pi\)
0.273036 + 0.962004i \(0.411972\pi\)
\(14\) −2.64176 + 0.145197i −0.706041 + 0.0388055i
\(15\) −0.669652 + 0.580257i −0.172903 + 0.149822i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 3.13323 2.01361i 0.759921 0.488371i −0.102394 0.994744i \(-0.532650\pi\)
0.862315 + 0.506372i \(0.169014\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) −1.89160 1.21566i −0.433962 0.278891i 0.305367 0.952235i \(-0.401221\pi\)
−0.739329 + 0.673344i \(0.764857\pi\)
\(20\) −0.580257 + 0.669652i −0.129749 + 0.149739i
\(21\) 2.46335 + 0.965353i 0.537547 + 0.210657i
\(22\) 3.42351i 0.729895i
\(23\) −3.88983 2.80521i −0.811085 0.584928i
\(24\) 1.00000i 0.204124i
\(25\) 4.04414 + 1.18747i 0.808827 + 0.237493i
\(26\) −3.53143 3.06000i −0.692570 0.600115i
\(27\) −0.540641 + 0.841254i −0.104046 + 0.161899i
\(28\) 2.57566 + 0.604956i 0.486754 + 0.114326i
\(29\) 4.84907 3.11631i 0.900450 0.578684i −0.00647334 0.999979i \(-0.502061\pi\)
0.906924 + 0.421295i \(0.138424\pi\)
\(30\) 0.806004 0.368090i 0.147155 0.0672037i
\(31\) −0.664410 + 0.575715i −0.119332 + 0.103401i −0.712482 0.701690i \(-0.752429\pi\)
0.593151 + 0.805091i \(0.297884\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) 1.42218 3.11414i 0.247569 0.542101i
\(34\) −3.57361 + 1.04931i −0.612870 + 0.179955i
\(35\) 0.460477 + 2.29867i 0.0778349 + 0.388546i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) −3.36929 + 0.484431i −0.553908 + 0.0796400i −0.413585 0.910466i \(-0.635723\pi\)
−0.140324 + 0.990106i \(0.544814\pi\)
\(38\) 1.47249 + 1.69934i 0.238869 + 0.275669i
\(39\) 1.94113 + 4.25048i 0.310829 + 0.680622i
\(40\) 0.745415 0.479049i 0.117860 0.0757443i
\(41\) 3.73926 + 0.537625i 0.583974 + 0.0839628i 0.427969 0.903793i \(-0.359229\pi\)
0.156005 + 0.987756i \(0.450138\pi\)
\(42\) −2.09160 1.62026i −0.322740 0.250011i
\(43\) 0.231881 + 0.200926i 0.0353615 + 0.0306409i 0.672362 0.740222i \(-0.265280\pi\)
−0.637001 + 0.770863i \(0.719825\pi\)
\(44\) 0.964515 3.28484i 0.145406 0.495208i
\(45\) −0.886077 −0.132089
\(46\) 2.94194 + 3.78748i 0.433766 + 0.558433i
\(47\) 3.46317i 0.505155i 0.967577 + 0.252577i \(0.0812783\pi\)
−0.967577 + 0.252577i \(0.918722\pi\)
\(48\) −0.281733 + 0.959493i −0.0406646 + 0.138491i
\(49\) 5.43855 4.40706i 0.776936 0.629580i
\(50\) −3.54577 2.27873i −0.501448 0.322261i
\(51\) 3.68657 + 0.530049i 0.516223 + 0.0742217i
\(52\) 2.52628 + 3.93097i 0.350332 + 0.545127i
\(53\) −9.13631 + 4.17241i −1.25497 + 0.573125i −0.928236 0.371992i \(-0.878675\pi\)
−0.326733 + 0.945117i \(0.605948\pi\)
\(54\) 0.755750 0.654861i 0.102844 0.0891153i
\(55\) 3.00262 0.431711i 0.404873 0.0582119i
\(56\) −2.30089 1.30610i −0.307470 0.174535i
\(57\) −0.633489 2.15747i −0.0839077 0.285763i
\(58\) −5.53062 + 1.62394i −0.726206 + 0.213233i
\(59\) 9.72355 + 4.44060i 1.26590 + 0.578117i 0.931303 0.364245i \(-0.118673\pi\)
0.334596 + 0.942362i \(0.391400\pi\)
\(60\) −0.877058 + 0.126102i −0.113228 + 0.0162797i
\(61\) 5.41747 + 6.25210i 0.693636 + 0.800499i 0.987878 0.155232i \(-0.0496125\pi\)
−0.294242 + 0.955731i \(0.595067\pi\)
\(62\) 0.799694 0.365208i 0.101561 0.0463815i
\(63\) 1.22950 + 2.34272i 0.154903 + 0.295155i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) −2.23848 + 3.48314i −0.277649 + 0.432030i
\(66\) −2.24192 + 2.58732i −0.275962 + 0.318477i
\(67\) −2.17715 + 7.41469i −0.265981 + 0.905849i 0.712874 + 0.701293i \(0.247393\pi\)
−0.978855 + 0.204556i \(0.934425\pi\)
\(68\) 3.72448 0.451660
\(69\) −1.10271 4.66734i −0.132751 0.561881i
\(70\) 0.205785 2.33529i 0.0245960 0.279120i
\(71\) −4.38966 1.28892i −0.520957 0.152967i 0.0106736 0.999943i \(-0.496602\pi\)
−0.531631 + 0.846976i \(0.678421\pi\)
\(72\) 0.654861 0.755750i 0.0771761 0.0890659i
\(73\) 6.72425 10.4631i 0.787014 1.22462i −0.183368 0.983044i \(-0.558700\pi\)
0.970382 0.241574i \(-0.0776636\pi\)
\(74\) 3.36929 + 0.484431i 0.391672 + 0.0563140i
\(75\) 2.27873 + 3.54577i 0.263125 + 0.409431i
\(76\) −0.934080 2.04535i −0.107146 0.234618i
\(77\) −5.30779 7.33965i −0.604879 0.836430i
\(78\) −0.665001 4.62519i −0.0752966 0.523699i
\(79\) 6.68301 + 3.05203i 0.751897 + 0.343380i 0.754224 0.656617i \(-0.228013\pi\)
−0.00232670 + 0.999997i \(0.500741\pi\)
\(80\) −0.850184 + 0.249637i −0.0950535 + 0.0279102i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) −3.43633 1.56932i −0.379479 0.173302i
\(83\) −0.727988 5.06327i −0.0799070 0.555766i −0.989968 0.141291i \(-0.954875\pi\)
0.910061 0.414474i \(-0.136035\pi\)
\(84\) 1.55039 + 2.14389i 0.169162 + 0.233918i
\(85\) 1.37094 + 3.00195i 0.148700 + 0.325607i
\(86\) −0.165881 0.258115i −0.0178874 0.0278333i
\(87\) 5.70544 + 0.820318i 0.611687 + 0.0879473i
\(88\) −1.85089 + 2.88004i −0.197306 + 0.307013i
\(89\) −8.05982 + 9.30153i −0.854339 + 0.985960i −0.999994 0.00337520i \(-0.998926\pi\)
0.145655 + 0.989335i \(0.453471\pi\)
\(90\) 0.850184 + 0.249637i 0.0896173 + 0.0263140i
\(91\) 12.3152 + 1.08521i 1.29098 + 0.113761i
\(92\) −1.75572 4.46290i −0.183046 0.465289i
\(93\) −0.879141 −0.0911626
\(94\) 0.975687 3.32289i 0.100634 0.342729i
\(95\) 1.30473 1.50574i 0.133863 0.154486i
\(96\) 0.540641 0.841254i 0.0551789 0.0858601i
\(97\) −1.17133 + 8.14677i −0.118930 + 0.827179i 0.839807 + 0.542886i \(0.182668\pi\)
−0.958737 + 0.284294i \(0.908241\pi\)
\(98\) −6.45986 + 2.69633i −0.652545 + 0.272370i
\(99\) 3.11414 1.42218i 0.312982 0.142934i
\(100\) 2.76015 + 3.18538i 0.276015 + 0.318538i
\(101\) 18.8291 2.70722i 1.87357 0.269379i 0.890825 0.454347i \(-0.150127\pi\)
0.982744 + 0.184968i \(0.0592183\pi\)
\(102\) −3.38791 1.54721i −0.335453 0.153196i
\(103\) 0.0874233 0.0256698i 0.00861407 0.00252932i −0.277423 0.960748i \(-0.589480\pi\)
0.286037 + 0.958219i \(0.407662\pi\)
\(104\) −1.31647 4.48347i −0.129090 0.439640i
\(105\) −1.15730 + 2.03877i −0.112941 + 0.198963i
\(106\) 9.94173 1.42940i 0.965626 0.138836i
\(107\) −0.894323 + 0.774935i −0.0864575 + 0.0749158i −0.697017 0.717054i \(-0.745490\pi\)
0.610560 + 0.791970i \(0.290944\pi\)
\(108\) −0.909632 + 0.415415i −0.0875294 + 0.0399733i
\(109\) −8.55444 13.3110i −0.819366 1.27496i −0.958616 0.284702i \(-0.908105\pi\)
0.139250 0.990257i \(-0.455531\pi\)
\(110\) −3.00262 0.431711i −0.286288 0.0411620i
\(111\) −2.86358 1.84031i −0.271799 0.174674i
\(112\) 1.83972 + 1.90143i 0.173837 + 0.179668i
\(113\) 2.19195 7.46509i 0.206201 0.702257i −0.789836 0.613318i \(-0.789834\pi\)
0.996037 0.0889387i \(-0.0283475\pi\)
\(114\) 2.24855i 0.210596i
\(115\) 2.95085 3.05786i 0.275168 0.285147i
\(116\) 5.76411 0.535184
\(117\) −1.31647 + 4.48347i −0.121707 + 0.414497i
\(118\) −8.07862 7.00016i −0.743697 0.644417i
\(119\) 6.03461 7.79011i 0.553192 0.714118i
\(120\) 0.877058 + 0.126102i 0.0800641 + 0.0115115i
\(121\) −0.606064 + 0.389494i −0.0550967 + 0.0354085i
\(122\) −3.43661 7.52512i −0.311136 0.681292i
\(123\) 2.47388 + 2.85500i 0.223062 + 0.257427i
\(124\) −0.870192 + 0.125115i −0.0781456 + 0.0112356i
\(125\) −3.39190 + 7.42722i −0.303380 + 0.664311i
\(126\) −0.519681 2.59421i −0.0462969 0.231111i
\(127\) 1.78843 0.525130i 0.158697 0.0465978i −0.201419 0.979505i \(-0.564555\pi\)
0.360116 + 0.932907i \(0.382737\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) 0.0436654 + 0.303699i 0.00384452 + 0.0267392i
\(130\) 3.12912 2.71139i 0.274442 0.237805i
\(131\) −20.5166 + 9.36960i −1.79254 + 0.818626i −0.825329 + 0.564653i \(0.809010\pi\)
−0.967211 + 0.253973i \(0.918263\pi\)
\(132\) 2.88004 1.85089i 0.250675 0.161099i
\(133\) −5.79149 1.36027i −0.502186 0.117950i
\(134\) 4.17792 6.50097i 0.360917 0.561598i
\(135\) −0.669652 0.580257i −0.0576345 0.0499406i
\(136\) −3.57361 1.04931i −0.306435 0.0899774i
\(137\) 8.53890i 0.729527i 0.931100 + 0.364764i \(0.118850\pi\)
−0.931100 + 0.364764i \(0.881150\pi\)
\(138\) −0.256896 + 4.78895i −0.0218685 + 0.407662i
\(139\) 8.62650i 0.731690i −0.930676 0.365845i \(-0.880780\pi\)
0.930676 0.365845i \(-0.119220\pi\)
\(140\) −0.855377 + 2.18272i −0.0722925 + 0.184473i
\(141\) −2.26789 + 2.61729i −0.190991 + 0.220415i
\(142\) 3.84872 + 2.47342i 0.322977 + 0.207565i
\(143\) 2.27664 15.8344i 0.190382 1.32414i
\(144\) −0.841254 + 0.540641i −0.0701045 + 0.0450534i
\(145\) 2.12171 + 4.64589i 0.176198 + 0.385820i
\(146\) −9.39968 + 8.14487i −0.777923 + 0.674074i
\(147\) 6.99619 + 0.230860i 0.577036 + 0.0190410i
\(148\) −3.09633 1.41405i −0.254517 0.116234i
\(149\) −2.27083 7.73375i −0.186034 0.633574i −0.998706 0.0508525i \(-0.983806\pi\)
0.812672 0.582721i \(-0.198012\pi\)
\(150\) −1.18747 4.04414i −0.0969562 0.330202i
\(151\) 1.65877 3.63221i 0.134989 0.295585i −0.830051 0.557688i \(-0.811689\pi\)
0.965040 + 0.262103i \(0.0844159\pi\)
\(152\) 0.320002 + 2.22566i 0.0259556 + 0.180525i
\(153\) 2.43902 + 2.81478i 0.197183 + 0.227561i
\(154\) 3.02497 + 8.53771i 0.243759 + 0.687989i
\(155\) −0.421152 0.655325i −0.0338277 0.0526370i
\(156\) −0.665001 + 4.62519i −0.0532427 + 0.370311i
\(157\) 15.3488 + 9.86409i 1.22497 + 0.787240i 0.983100 0.183069i \(-0.0586031\pi\)
0.241869 + 0.970309i \(0.422239\pi\)
\(158\) −5.55244 4.81122i −0.441729 0.382760i
\(159\) −9.63711 2.82971i −0.764273 0.224411i
\(160\) 0.886077 0.0700505
\(161\) −12.1793 3.55878i −0.959863 0.280471i
\(162\) 1.00000 0.0785674
\(163\) 0.222824 + 0.0654270i 0.0174529 + 0.00512464i 0.290447 0.956891i \(-0.406196\pi\)
−0.272994 + 0.962016i \(0.588014\pi\)
\(164\) 2.85500 + 2.47388i 0.222938 + 0.193177i
\(165\) 2.55194 + 1.64003i 0.198668 + 0.127676i
\(166\) −0.727988 + 5.06327i −0.0565028 + 0.392986i
\(167\) −3.82010 5.94419i −0.295608 0.459975i 0.661401 0.750032i \(-0.269962\pi\)
−0.957009 + 0.290057i \(0.906326\pi\)
\(168\) −0.883586 2.49385i −0.0681702 0.192405i
\(169\) 5.78541 + 6.67672i 0.445032 + 0.513594i
\(170\) −0.469664 3.26659i −0.0360216 0.250536i
\(171\) 0.934080 2.04535i 0.0714309 0.156412i
\(172\) 0.0864418 + 0.294394i 0.00659113 + 0.0224473i
\(173\) 0.379155 + 1.29128i 0.0288266 + 0.0981744i 0.972650 0.232276i \(-0.0746174\pi\)
−0.943823 + 0.330451i \(0.892799\pi\)
\(174\) −5.24321 2.39450i −0.397487 0.181526i
\(175\) 11.1347 0.611986i 0.841703 0.0462618i
\(176\) 2.58732 2.24192i 0.195026 0.168991i
\(177\) 4.44060 + 9.72355i 0.333776 + 0.730867i
\(178\) 10.3539 6.65404i 0.776057 0.498741i
\(179\) −0.262744 + 1.82742i −0.0196384 + 0.136588i −0.997282 0.0736817i \(-0.976525\pi\)
0.977643 + 0.210270i \(0.0674342\pi\)
\(180\) −0.745415 0.479049i −0.0555600 0.0357062i
\(181\) −11.7383 + 13.5467i −0.872502 + 1.00692i 0.127385 + 0.991853i \(0.459342\pi\)
−0.999886 + 0.0150673i \(0.995204\pi\)
\(182\) −11.5106 4.51085i −0.853223 0.334366i
\(183\) 8.27271i 0.611536i
\(184\) 0.427257 + 4.77676i 0.0314978 + 0.352148i
\(185\) 3.01615i 0.221752i
\(186\) 0.843529 + 0.247683i 0.0618506 + 0.0181610i
\(187\) −9.63642 8.35000i −0.704685 0.610613i
\(188\) −1.87233 + 2.91340i −0.136554 + 0.212482i
\(189\) −0.604956 + 2.57566i −0.0440040 + 0.187352i
\(190\) −1.67610 + 1.07716i −0.121597 + 0.0781457i
\(191\) −16.6294 + 7.59440i −1.20326 + 0.549511i −0.913206 0.407498i \(-0.866401\pi\)
−0.290056 + 0.957010i \(0.593674\pi\)
\(192\) −0.755750 + 0.654861i −0.0545415 + 0.0472605i
\(193\) 0.102686 + 0.714197i 0.00739150 + 0.0514090i 0.993183 0.116562i \(-0.0371875\pi\)
−0.985792 + 0.167971i \(0.946278\pi\)
\(194\) 3.41909 7.48677i 0.245477 0.537519i
\(195\) −3.97270 + 1.16649i −0.284491 + 0.0835340i
\(196\) 6.95784 0.767152i 0.496988 0.0547966i
\(197\) 4.66838 10.2223i 0.332608 0.728310i −0.667255 0.744829i \(-0.732531\pi\)
0.999864 + 0.0165186i \(0.00525829\pi\)
\(198\) −3.38866 + 0.487216i −0.240822 + 0.0346250i
\(199\) −15.6128 18.0182i −1.10676 1.27727i −0.957487 0.288478i \(-0.906851\pi\)
−0.149277 0.988795i \(-0.547695\pi\)
\(200\) −1.75092 3.83398i −0.123809 0.271103i
\(201\) −6.50097 + 4.17792i −0.458543 + 0.294688i
\(202\) −18.8291 2.70722i −1.32481 0.190479i
\(203\) 9.33932 12.0562i 0.655492 0.846178i
\(204\) 2.81478 + 2.43902i 0.197074 + 0.170765i
\(205\) −0.943056 + 3.21175i −0.0658659 + 0.224319i
\(206\) −0.0911141 −0.00634822
\(207\) 2.22308 4.24946i 0.154515 0.295358i
\(208\) 4.67275i 0.323997i
\(209\) −2.16876 + 7.38611i −0.150016 + 0.510908i
\(210\) 1.68481 1.63013i 0.116263 0.112490i
\(211\) −13.0888 8.41164i −0.901068 0.579081i 0.00603889 0.999982i \(-0.498078\pi\)
−0.907107 + 0.420901i \(0.861714\pi\)
\(212\) −9.94173 1.42940i −0.682801 0.0981719i
\(213\) −2.47342 3.84872i −0.169476 0.263710i
\(214\) 1.07642 0.491585i 0.0735826 0.0336041i
\(215\) −0.205464 + 0.178036i −0.0140125 + 0.0121419i
\(216\) 0.989821 0.142315i 0.0673488 0.00968330i
\(217\) −1.14824 + 2.02281i −0.0779479 + 0.137317i
\(218\) 4.45779 + 15.1818i 0.301920 + 1.02824i
\(219\) 11.9338 3.50407i 0.806408 0.236783i
\(220\) 2.75936 + 1.26016i 0.186036 + 0.0849599i
\(221\) 17.2264 2.47679i 1.15877 0.166607i
\(222\) 2.22911 + 2.57253i 0.149608 + 0.172657i
\(223\) −9.75917 + 4.45686i −0.653522 + 0.298454i −0.714448 0.699689i \(-0.753322\pi\)
0.0609257 + 0.998142i \(0.480595\pi\)
\(224\) −1.22950 2.34272i −0.0821497 0.156529i
\(225\) −0.599838 + 4.17197i −0.0399892 + 0.278131i
\(226\) −4.20632 + 6.54516i −0.279800 + 0.435378i
\(227\) −11.8582 + 13.6850i −0.787053 + 0.908308i −0.997598 0.0692764i \(-0.977931\pi\)
0.210544 + 0.977584i \(0.432476\pi\)
\(228\) 0.633489 2.15747i 0.0419538 0.142882i
\(229\) −20.3324 −1.34360 −0.671802 0.740731i \(-0.734480\pi\)
−0.671802 + 0.740731i \(0.734480\pi\)
\(230\) −3.69282 + 2.10265i −0.243497 + 0.138644i
\(231\) 0.795087 9.02280i 0.0523129 0.593656i
\(232\) −5.53062 1.62394i −0.363103 0.106617i
\(233\) 10.4747 12.0884i 0.686218 0.791938i −0.300603 0.953749i \(-0.597188\pi\)
0.986822 + 0.161811i \(0.0517335\pi\)
\(234\) 2.52628 3.93097i 0.165148 0.256975i
\(235\) −3.03740 0.436712i −0.198138 0.0284879i
\(236\) 5.77920 + 8.99262i 0.376194 + 0.585370i
\(237\) 3.05203 + 6.68301i 0.198250 + 0.434108i
\(238\) −7.98489 + 5.77441i −0.517584 + 0.374299i
\(239\) 2.26048 + 15.7220i 0.146219 + 1.01697i 0.922337 + 0.386386i \(0.126277\pi\)
−0.776119 + 0.630587i \(0.782814\pi\)
\(240\) −0.806004 0.368090i −0.0520273 0.0237601i
\(241\) −13.5607 + 3.98178i −0.873522 + 0.256489i −0.687613 0.726078i \(-0.741341\pi\)
−0.185909 + 0.982567i \(0.559523\pi\)
\(242\) 0.691247 0.202968i 0.0444350 0.0130473i
\(243\) −0.909632 0.415415i −0.0583529 0.0266489i
\(244\) 1.17733 + 8.18850i 0.0753708 + 0.524215i
\(245\) 3.17943 + 5.32566i 0.203127 + 0.340244i
\(246\) −1.56932 3.43633i −0.100056 0.219092i
\(247\) −5.68045 8.83896i −0.361439 0.562410i
\(248\) 0.870192 + 0.125115i 0.0552573 + 0.00794479i
\(249\) 2.76556 4.30329i 0.175260 0.272710i
\(250\) 5.34699 6.17076i 0.338173 0.390273i
\(251\) −19.3386 5.67832i −1.22064 0.358412i −0.392930 0.919568i \(-0.628539\pi\)
−0.827710 + 0.561156i \(0.810357\pi\)
\(252\) −0.232243 + 2.63554i −0.0146299 + 0.166023i
\(253\) −5.46287 + 15.4831i −0.343448 + 0.973415i
\(254\) −1.86393 −0.116954
\(255\) −0.929767 + 3.16650i −0.0582243 + 0.198294i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 2.57464 4.00622i 0.160602 0.249901i −0.751621 0.659595i \(-0.770728\pi\)
0.912223 + 0.409693i \(0.134364\pi\)
\(258\) 0.0436654 0.303699i 0.00271849 0.0189075i
\(259\) −7.97446 + 4.18516i −0.495509 + 0.260053i
\(260\) −3.76625 + 1.71999i −0.233573 + 0.106669i
\(261\) 3.77469 + 4.35622i 0.233647 + 0.269643i
\(262\) 22.3252 3.20988i 1.37926 0.198307i
\(263\) 2.42487 + 1.10740i 0.149524 + 0.0682854i 0.488772 0.872412i \(-0.337445\pi\)
−0.339248 + 0.940697i \(0.610172\pi\)
\(264\) −3.28484 + 0.964515i −0.202168 + 0.0593618i
\(265\) −2.50734 8.53922i −0.154025 0.524560i
\(266\) 5.17367 + 2.93682i 0.317218 + 0.180068i
\(267\) −12.1824 + 1.75157i −0.745552 + 0.107194i
\(268\) −5.84022 + 5.06058i −0.356748 + 0.309124i
\(269\) −8.05118 + 3.67685i −0.490889 + 0.224181i −0.645451 0.763802i \(-0.723331\pi\)
0.154562 + 0.987983i \(0.450603\pi\)
\(270\) 0.479049 + 0.745415i 0.0291540 + 0.0453645i
\(271\) −25.8923 3.72275i −1.57285 0.226141i −0.700002 0.714141i \(-0.746818\pi\)
−0.872844 + 0.488000i \(0.837727\pi\)
\(272\) 3.13323 + 2.01361i 0.189980 + 0.122093i
\(273\) 8.59655 + 8.88489i 0.520287 + 0.537738i
\(274\) 2.40569 8.19301i 0.145333 0.494958i
\(275\) 14.4296i 0.870141i
\(276\) 1.59569 4.52258i 0.0960494 0.272228i
\(277\) −18.5551 −1.11487 −0.557433 0.830222i \(-0.688214\pi\)
−0.557433 + 0.830222i \(0.688214\pi\)
\(278\) −2.43036 + 8.27706i −0.145764 + 0.496425i
\(279\) −0.664410 0.575715i −0.0397772 0.0344671i
\(280\) 1.43567 1.85331i 0.0857977 0.110757i
\(281\) −7.40551 1.06475i −0.441775 0.0635177i −0.0821618 0.996619i \(-0.526182\pi\)
−0.359614 + 0.933101i \(0.617092\pi\)
\(282\) 2.91340 1.87233i 0.173491 0.111496i
\(283\) 4.02295 + 8.80902i 0.239139 + 0.523642i 0.990707 0.136014i \(-0.0434292\pi\)
−0.751568 + 0.659656i \(0.770702\pi\)
\(284\) −2.99598 3.45754i −0.177779 0.205167i
\(285\) 1.97211 0.283546i 0.116817 0.0167958i
\(286\) −6.64548 + 14.5516i −0.392955 + 0.860452i
\(287\) 9.80018 1.96321i 0.578487 0.115884i
\(288\) 0.959493 0.281733i 0.0565387 0.0166013i
\(289\) −1.29952 + 2.84554i −0.0764421 + 0.167385i
\(290\) −0.726864 5.05545i −0.0426830 0.296866i
\(291\) −6.22023 + 5.38986i −0.364637 + 0.315959i
\(292\) 11.3136 5.16675i 0.662079 0.302361i
\(293\) −23.7807 + 15.2829i −1.38928 + 0.892837i −0.999605 0.0281153i \(-0.991049\pi\)
−0.389676 + 0.920952i \(0.627413\pi\)
\(294\) −6.64776 2.19256i −0.387705 0.127873i
\(295\) −5.12082 + 7.96815i −0.298146 + 0.463924i
\(296\) 2.57253 + 2.22911i 0.149525 + 0.129564i
\(297\) 3.28484 + 0.964515i 0.190605 + 0.0559668i
\(298\) 8.06025i 0.466918i
\(299\) −11.0884 19.4742i −0.641256 1.12622i
\(300\) 4.21487i 0.243346i
\(301\) 0.755811 + 0.296192i 0.0435642 + 0.0170722i
\(302\) −2.61489 + 3.01775i −0.150470 + 0.173652i
\(303\) 16.0030 + 10.2845i 0.919346 + 0.590828i
\(304\) 0.320002 2.22566i 0.0183534 0.127650i
\(305\) −6.16660 + 3.96304i −0.353099 + 0.226923i
\(306\) −1.54721 3.38791i −0.0884479 0.193674i
\(307\) −6.57023 + 5.69314i −0.374983 + 0.324925i −0.821880 0.569661i \(-0.807075\pi\)
0.446897 + 0.894586i \(0.352529\pi\)
\(308\) −0.497083 9.04411i −0.0283239 0.515336i
\(309\) 0.0828803 + 0.0378501i 0.00471489 + 0.00215322i
\(310\) 0.219466 + 0.747432i 0.0124648 + 0.0424513i
\(311\) −6.39702 21.7862i −0.362742 1.23538i −0.915593 0.402105i \(-0.868279\pi\)
0.552852 0.833280i \(-0.313540\pi\)
\(312\) 1.94113 4.25048i 0.109895 0.240636i
\(313\) −3.94483 27.4369i −0.222975 1.55082i −0.726696 0.686959i \(-0.758945\pi\)
0.503722 0.863866i \(-0.331964\pi\)
\(314\) −11.9481 13.7888i −0.674268 0.778146i
\(315\) −2.20974 + 0.782925i −0.124505 + 0.0441128i
\(316\) 3.97205 + 6.18064i 0.223445 + 0.347688i
\(317\) −4.62256 + 32.1506i −0.259629 + 1.80576i 0.275838 + 0.961204i \(0.411045\pi\)
−0.535467 + 0.844556i \(0.679865\pi\)
\(318\) 8.44952 + 5.43018i 0.473826 + 0.304509i
\(319\) −14.9136 12.9227i −0.835000 0.723531i
\(320\) −0.850184 0.249637i −0.0475268 0.0139551i
\(321\) −1.18336 −0.0660487
\(322\) 10.6833 + 6.84592i 0.595358 + 0.381508i
\(323\) −8.37467 −0.465979
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) 14.8845 + 12.8975i 0.825643 + 0.715424i
\(326\) −0.195365 0.125553i −0.0108203 0.00695376i
\(327\) 2.25182 15.6617i 0.124526 0.866095i
\(328\) −2.04239 3.17801i −0.112772 0.175476i
\(329\) 3.06001 + 8.63661i 0.168704 + 0.476152i
\(330\) −1.98652 2.29256i −0.109354 0.126201i
\(331\) −3.90240 27.1418i −0.214496 1.49185i −0.757896 0.652376i \(-0.773773\pi\)
0.543400 0.839474i \(-0.317137\pi\)
\(332\) 2.12499 4.65307i 0.116624 0.255370i
\(333\) −0.959001 3.26606i −0.0525529 0.178979i
\(334\) 1.99069 + 6.77965i 0.108925 + 0.370966i
\(335\) −6.22857 2.84449i −0.340303 0.155411i
\(336\) 0.145197 + 2.64176i 0.00792114 + 0.144120i
\(337\) 11.2713 9.76666i 0.613988 0.532024i −0.291404 0.956600i \(-0.594122\pi\)
0.905392 + 0.424576i \(0.139577\pi\)
\(338\) −3.67001 8.03621i −0.199622 0.437112i
\(339\) 6.54516 4.20632i 0.355484 0.228456i
\(340\) −0.469664 + 3.26659i −0.0254711 + 0.177155i
\(341\) 2.53196 + 1.62719i 0.137113 + 0.0881174i
\(342\) −1.47249 + 1.69934i −0.0796229 + 0.0918897i
\(343\) 9.66890 15.7960i 0.522071 0.852902i
\(344\) 0.306822i 0.0165428i
\(345\) 4.23258 0.378582i 0.227874 0.0203822i
\(346\) 1.34580i 0.0723505i
\(347\) 27.7185 + 8.13889i 1.48801 + 0.436919i 0.921905 0.387416i \(-0.126632\pi\)
0.566103 + 0.824334i \(0.308450\pi\)
\(348\) 4.35622 + 3.77469i 0.233518 + 0.202344i
\(349\) 0.587910 0.914805i 0.0314701 0.0489684i −0.825162 0.564896i \(-0.808916\pi\)
0.856632 + 0.515928i \(0.172553\pi\)
\(350\) −10.8561 2.54981i −0.580281 0.136293i
\(351\) −3.93097 + 2.52628i −0.209819 + 0.134843i
\(352\) −3.11414 + 1.42218i −0.165984 + 0.0758023i
\(353\) 10.6813 9.25539i 0.568508 0.492615i −0.322521 0.946562i \(-0.604530\pi\)
0.891028 + 0.453948i \(0.149985\pi\)
\(354\) −1.52128 10.5807i −0.0808552 0.562360i
\(355\) 1.68400 3.68745i 0.0893776 0.195710i
\(356\) −11.8091 + 3.46748i −0.625883 + 0.183776i
\(357\) 9.66209 1.93554i 0.511372 0.102440i
\(358\) 0.766945 1.67938i 0.0405343 0.0887578i
\(359\) 18.1614 2.61122i 0.958522 0.137815i 0.354741 0.934965i \(-0.384569\pi\)
0.603781 + 0.797150i \(0.293660\pi\)
\(360\) 0.580257 + 0.669652i 0.0305822 + 0.0352938i
\(361\) −5.79256 12.6839i −0.304872 0.667576i
\(362\) 15.0794 9.69093i 0.792555 0.509344i
\(363\) −0.713097 0.102528i −0.0374279 0.00538132i
\(364\) 9.77350 + 7.57104i 0.512271 + 0.396830i
\(365\) 8.32884 + 7.21698i 0.435951 + 0.377754i
\(366\) 2.33069 7.93761i 0.121827 0.414905i
\(367\) 26.6728 1.39231 0.696153 0.717893i \(-0.254893\pi\)
0.696153 + 0.717893i \(0.254893\pi\)
\(368\) 0.935820 4.70364i 0.0487830 0.245194i
\(369\) 3.77771i 0.196660i
\(370\) −0.849748 + 2.89398i −0.0441763 + 0.150451i
\(371\) −19.0979 + 18.4781i −0.991512 + 0.959334i
\(372\) −0.739580 0.475299i −0.0383454 0.0246431i
\(373\) −2.12876 0.306070i −0.110223 0.0158477i 0.0869825 0.996210i \(-0.472278\pi\)
−0.197206 + 0.980362i \(0.563187\pi\)
\(374\) 6.89361 + 10.7267i 0.356460 + 0.554662i
\(375\) −7.42722 + 3.39190i −0.383540 + 0.175157i
\(376\) 2.61729 2.26789i 0.134976 0.116958i
\(377\) 26.6601 3.83314i 1.37306 0.197417i
\(378\) 1.30610 2.30089i 0.0671784 0.118345i
\(379\) −1.45459 4.95388i −0.0747173 0.254464i 0.913661 0.406477i \(-0.133243\pi\)
−0.988379 + 0.152013i \(0.951425\pi\)
\(380\) 1.91168 0.561320i 0.0980671 0.0287951i
\(381\) 1.69549 + 0.774305i 0.0868627 + 0.0396689i
\(382\) 18.0954 2.60173i 0.925841 0.133116i
\(383\) −2.74559 3.16858i −0.140293 0.161907i 0.681255 0.732046i \(-0.261435\pi\)
−0.821548 + 0.570140i \(0.806889\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) 7.10662 3.72969i 0.362187 0.190083i
\(386\) 0.102686 0.714197i 0.00522658 0.0363517i
\(387\) −0.165881 + 0.258115i −0.00843219 + 0.0131207i
\(388\) −5.38986 + 6.22023i −0.273629 + 0.315785i
\(389\) 0.533510 1.81697i 0.0270500 0.0921239i −0.944862 0.327470i \(-0.893804\pi\)
0.971912 + 0.235346i \(0.0756223\pi\)
\(390\) 4.14041 0.209658
\(391\) −17.8363 0.956806i −0.902023 0.0483878i
\(392\) −6.89213 1.22417i −0.348105 0.0618300i
\(393\) −21.6412 6.35442i −1.09165 0.320538i
\(394\) −7.35924 + 8.49301i −0.370753 + 0.427872i
\(395\) −3.51954 + 5.47652i −0.177087 + 0.275554i
\(396\) 3.38866 + 0.487216i 0.170287 + 0.0244835i
\(397\) 12.1096 + 18.8429i 0.607764 + 0.945700i 0.999670 + 0.0256943i \(0.00817964\pi\)
−0.391906 + 0.920005i \(0.628184\pi\)
\(398\) 9.90409 + 21.6869i 0.496447 + 1.08707i
\(399\) −3.48613 4.82065i −0.174525 0.241334i
\(400\) 0.599838 + 4.17197i 0.0299919 + 0.208598i
\(401\) −0.915928 0.418290i −0.0457392 0.0208884i 0.392414 0.919789i \(-0.371640\pi\)
−0.438153 + 0.898900i \(0.644367\pi\)
\(402\) 7.41469 2.17715i 0.369811 0.108586i
\(403\) −3.94160 + 1.15736i −0.196345 + 0.0576521i
\(404\) 17.3037 + 7.90234i 0.860892 + 0.393156i
\(405\) −0.126102 0.877058i −0.00626605 0.0435814i
\(406\) −12.3576 + 8.93663i −0.613299 + 0.443517i
\(407\) 4.84101 + 10.6003i 0.239960 + 0.525439i
\(408\) −2.01361 3.13323i −0.0996884 0.155118i
\(409\) 2.88460 + 0.414743i 0.142634 + 0.0205077i 0.213262 0.976995i \(-0.431591\pi\)
−0.0706278 + 0.997503i \(0.522500\pi\)
\(410\) 1.80971 2.81596i 0.0893752 0.139071i
\(411\) −5.59179 + 6.45327i −0.275823 + 0.318316i
\(412\) 0.0874233 + 0.0256698i 0.00430704 + 0.00126466i
\(413\) 28.1727 + 2.48257i 1.38629 + 0.122159i
\(414\) −3.33024 + 3.45101i −0.163672 + 0.169608i
\(415\) 4.53258 0.222495
\(416\) 1.31647 4.48347i 0.0645450 0.219820i
\(417\) 5.64915 6.51947i 0.276640 0.319260i
\(418\) 4.16181 6.47591i 0.203561 0.316747i
\(419\) 1.01835 7.08275i 0.0497494 0.346015i −0.949710 0.313132i \(-0.898622\pi\)
0.999459 0.0328834i \(-0.0104690\pi\)
\(420\) −2.07583 + 1.08944i −0.101290 + 0.0531590i
\(421\) 31.1835 14.2410i 1.51979 0.694065i 0.531557 0.847023i \(-0.321607\pi\)
0.988233 + 0.152958i \(0.0488799\pi\)
\(422\) 10.1887 + 11.7584i 0.495980 + 0.572392i
\(423\) −3.42792 + 0.492860i −0.166671 + 0.0239637i
\(424\) 9.13631 + 4.17241i 0.443698 + 0.202630i
\(425\) 15.0623 4.42269i 0.730629 0.214532i
\(426\) 1.28892 + 4.38966i 0.0624485 + 0.212680i
\(427\) 19.0346 + 10.8050i 0.921150 + 0.522889i
\(428\) −1.17131 + 0.168410i −0.0566176 + 0.00814038i
\(429\) 12.0899 10.4759i 0.583705 0.505783i
\(430\) 0.247300 0.112938i 0.0119259 0.00544636i
\(431\) 18.7076 + 29.1096i 0.901113 + 1.40216i 0.915524 + 0.402262i \(0.131776\pi\)
−0.0144119 + 0.999896i \(0.504588\pi\)
\(432\) −0.989821 0.142315i −0.0476228 0.00684713i
\(433\) 18.1388 + 11.6571i 0.871695 + 0.560204i 0.898271 0.439443i \(-0.144824\pi\)
−0.0265761 + 0.999647i \(0.508460\pi\)
\(434\) 1.67162 1.61737i 0.0802405 0.0776364i
\(435\) −1.43893 + 4.90055i −0.0689915 + 0.234964i
\(436\) 15.8228i 0.757773i
\(437\) 3.94782 + 10.0350i 0.188850 + 0.480041i
\(438\) −12.4376 −0.594290
\(439\) −7.62517 + 25.9689i −0.363929 + 1.23943i 0.550552 + 0.834801i \(0.314417\pi\)
−0.914481 + 0.404628i \(0.867401\pi\)
\(440\) −2.29256 1.98652i −0.109294 0.0947034i
\(441\) 5.13619 + 4.75600i 0.244580 + 0.226476i
\(442\) −17.2264 2.47679i −0.819377 0.117809i
\(443\) 7.69153 4.94304i 0.365435 0.234851i −0.345017 0.938597i \(-0.612127\pi\)
0.710452 + 0.703745i \(0.248490\pi\)
\(444\) −1.41405 3.09633i −0.0671077 0.146945i
\(445\) −7.14162 8.24187i −0.338545 0.390702i
\(446\) 10.6195 1.52685i 0.502848 0.0722986i
\(447\) 3.34835 7.33186i 0.158371 0.346785i
\(448\) 0.519681 + 2.59421i 0.0245526 + 0.122565i
\(449\) 3.58585 1.05290i 0.169227 0.0496894i −0.196022 0.980600i \(-0.562802\pi\)
0.365248 + 0.930910i \(0.380984\pi\)
\(450\) 1.75092 3.83398i 0.0825391 0.180735i
\(451\) −1.84056 12.8014i −0.0866688 0.602794i
\(452\) 5.87992 5.09498i 0.276568 0.239648i
\(453\) 3.63221 1.65877i 0.170656 0.0779360i
\(454\) 15.2333 9.78987i 0.714936 0.459461i
\(455\) −2.50477 + 10.6643i −0.117425 + 0.499950i
\(456\) −1.21566 + 1.89160i −0.0569283 + 0.0885822i
\(457\) −18.9283 16.4015i −0.885428 0.767228i 0.0880243 0.996118i \(-0.471945\pi\)
−0.973452 + 0.228891i \(0.926490\pi\)
\(458\) 19.5088 + 5.72831i 0.911587 + 0.267666i
\(459\) 3.72448i 0.173844i
\(460\) 4.13562 0.977087i 0.192824 0.0455569i
\(461\) 10.1422i 0.472370i 0.971708 + 0.236185i \(0.0758971\pi\)
−0.971708 + 0.236185i \(0.924103\pi\)
\(462\) −3.30490 + 8.43331i −0.153758 + 0.392353i
\(463\) 15.1186 17.4477i 0.702619 0.810865i −0.286485 0.958085i \(-0.592487\pi\)
0.989104 + 0.147219i \(0.0470323\pi\)
\(464\) 4.84907 + 3.11631i 0.225113 + 0.144671i
\(465\) 0.110861 0.771057i 0.00514107 0.0357569i
\(466\) −13.4561 + 8.64769i −0.623340 + 0.400597i
\(467\) −2.65834 5.82095i −0.123013 0.269361i 0.838100 0.545517i \(-0.183667\pi\)
−0.961113 + 0.276156i \(0.910939\pi\)
\(468\) −3.53143 + 3.06000i −0.163240 + 0.141448i
\(469\) 1.12204 + 20.4148i 0.0518110 + 0.942669i
\(470\) 2.79133 + 1.27476i 0.128754 + 0.0588001i
\(471\) 5.14026 + 17.5061i 0.236851 + 0.806640i
\(472\) −3.01159 10.2565i −0.138620 0.472096i
\(473\) 0.436356 0.955486i 0.0200637 0.0439333i
\(474\) −1.04558 7.27215i −0.0480250 0.334021i
\(475\) −6.20633 7.16249i −0.284766 0.328637i
\(476\) 9.28829 3.29090i 0.425728 0.150838i
\(477\) −5.43018 8.44952i −0.248631 0.386877i
\(478\) 2.26048 15.7220i 0.103392 0.719108i
\(479\) 19.1085 + 12.2803i 0.873092 + 0.561102i 0.898697 0.438570i \(-0.144515\pi\)
−0.0256054 + 0.999672i \(0.508151\pi\)
\(480\) 0.669652 + 0.580257i 0.0305653 + 0.0264850i
\(481\) −15.2615 4.48117i −0.695862 0.204324i
\(482\) 14.1332 0.643750
\(483\) −6.87399 10.6653i −0.312777 0.485287i
\(484\) −0.720430 −0.0327468
\(485\) −6.99748 2.05465i −0.317739 0.0932967i
\(486\) 0.755750 + 0.654861i 0.0342815 + 0.0297051i
\(487\) −36.2271 23.2817i −1.64161 1.05500i −0.939286 0.343134i \(-0.888512\pi\)
−0.702319 0.711862i \(-0.747852\pi\)
\(488\) 1.17733 8.18850i 0.0532952 0.370676i
\(489\) 0.125553 + 0.195365i 0.00567772 + 0.00883471i
\(490\) −1.55023 6.00568i −0.0700324 0.271309i
\(491\) 5.06816 + 5.84897i 0.228723 + 0.263960i 0.858498 0.512817i \(-0.171398\pi\)
−0.629775 + 0.776778i \(0.716853\pi\)
\(492\) 0.537625 + 3.73926i 0.0242380 + 0.168579i
\(493\) 8.91826 19.5283i 0.401658 0.879509i
\(494\) 2.96013 + 10.0813i 0.133183 + 0.453579i
\(495\) 0.854634 + 2.91062i 0.0384129 + 0.130822i
\(496\) −0.799694 0.365208i −0.0359073 0.0163983i
\(497\) −12.0860 + 0.664273i −0.542132 + 0.0297967i
\(498\) −3.86591 + 3.34983i −0.173236 + 0.150109i
\(499\) −5.09410 11.1545i −0.228043 0.499345i 0.760675 0.649133i \(-0.224868\pi\)
−0.988718 + 0.149788i \(0.952141\pi\)
\(500\) −6.86890 + 4.41438i −0.307187 + 0.197417i
\(501\) 1.00558 6.99395i 0.0449259 0.312467i
\(502\) 16.9555 + 10.8966i 0.756759 + 0.486340i
\(503\) −1.17102 + 1.35143i −0.0522132 + 0.0602573i −0.781255 0.624212i \(-0.785420\pi\)
0.729042 + 0.684469i \(0.239966\pi\)
\(504\) 0.965353 2.46335i 0.0430002 0.109726i
\(505\) 16.8556i 0.750066i
\(506\) 9.60368 13.3169i 0.426936 0.592007i
\(507\) 8.83457i 0.392357i
\(508\) 1.78843 + 0.525130i 0.0793487 + 0.0232989i
\(509\) 14.5929 + 12.6448i 0.646819 + 0.560472i 0.915280 0.402819i \(-0.131969\pi\)
−0.268461 + 0.963291i \(0.586515\pi\)
\(510\) 1.78421 2.77629i 0.0790062 0.122936i
\(511\) 7.52417 32.0349i 0.332850 1.41714i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) 2.04535 0.934080i 0.0903044 0.0412406i
\(514\) −3.59903 + 3.11858i −0.158747 + 0.137555i
\(515\) 0.0114897 + 0.0799123i 0.000506295 + 0.00352136i
\(516\) −0.127459 + 0.279095i −0.00561105 + 0.0122865i
\(517\) 11.3759 3.34028i 0.500313 0.146905i
\(518\) 8.83054 1.76896i 0.387992 0.0777238i
\(519\) −0.559064 + 1.22418i −0.0245402 + 0.0537355i
\(520\) 4.09827 0.589242i 0.179721 0.0258400i
\(521\) −18.4315 21.2711i −0.807499 0.931903i 0.191269 0.981538i \(-0.438740\pi\)
−0.998767 + 0.0496345i \(0.984194\pi\)
\(522\) −2.39450 5.24321i −0.104804 0.229489i
\(523\) −1.34477 + 0.864234i −0.0588029 + 0.0377903i −0.569712 0.821844i \(-0.692945\pi\)
0.510909 + 0.859635i \(0.329309\pi\)
\(524\) −22.3252 3.20988i −0.975281 0.140224i
\(525\) 8.81580 + 6.82916i 0.384753 + 0.298049i
\(526\) −2.01466 1.74571i −0.0878433 0.0761166i
\(527\) −0.922489 + 3.14171i −0.0401843 + 0.136855i
\(528\) 3.42351 0.148989
\(529\) 7.26154 + 21.8236i 0.315719 + 0.948853i
\(530\) 8.89972i 0.386579i
\(531\) −3.01159 + 10.2565i −0.130692 + 0.445096i
\(532\) −4.13670 4.27545i −0.179349 0.185364i
\(533\) 14.8501 + 9.54355i 0.643227 + 0.413377i
\(534\) 12.1824 + 1.75157i 0.527185 + 0.0757977i
\(535\) −0.566887 0.882094i −0.0245087 0.0381362i
\(536\) 7.02938 3.21021i 0.303623 0.138660i
\(537\) −1.39528 + 1.20901i −0.0602106 + 0.0521728i
\(538\) 8.76094 1.25963i 0.377711 0.0543066i
\(539\) −19.7220 13.6141i −0.849488 0.586399i
\(540\) −0.249637 0.850184i −0.0107427 0.0365861i
\(541\) −28.2896 + 8.30657i −1.21626 + 0.357127i −0.826050 0.563597i \(-0.809417\pi\)
−0.390214 + 0.920724i \(0.627599\pi\)
\(542\) 23.7947 + 10.8667i 1.02207 + 0.466763i
\(543\) −17.7424 + 2.55098i −0.761401 + 0.109473i
\(544\) −2.43902 2.81478i −0.104572 0.120683i
\(545\) 12.7532 5.82420i 0.546288 0.249481i
\(546\) −5.74516 10.9469i −0.245870 0.468485i
\(547\) 5.23010 36.3761i 0.223623 1.55533i −0.500548 0.865709i \(-0.666868\pi\)
0.724170 0.689621i \(-0.242223\pi\)
\(548\) −4.61648 + 7.18338i −0.197206 + 0.306859i
\(549\) −5.41747 + 6.25210i −0.231212 + 0.266833i
\(550\) −4.06530 + 13.8451i −0.173345 + 0.590359i
\(551\) −12.9609 −0.552151
\(552\) −2.80521 + 3.88983i −0.119398 + 0.165562i
\(553\) 19.3631 + 1.70628i 0.823404 + 0.0725582i
\(554\) 17.8035 + 5.22757i 0.756396 + 0.222098i
\(555\) 1.97516 2.27946i 0.0838408 0.0967575i
\(556\) 4.66384 7.25707i 0.197791 0.307768i
\(557\) 40.4181 + 5.81125i 1.71257 + 0.246230i 0.927672 0.373395i \(-0.121806\pi\)
0.784898 + 0.619625i \(0.212715\pi\)
\(558\) 0.475299 + 0.739580i 0.0201210 + 0.0313089i
\(559\) 0.595582 + 1.30414i 0.0251904 + 0.0551593i
\(560\) −1.89965 + 1.37377i −0.0802751 + 0.0580523i
\(561\) −1.81463 12.6210i −0.0766137 0.532860i
\(562\) 6.80556 + 3.10799i 0.287075 + 0.131103i
\(563\) 2.65744 0.780294i 0.111998 0.0328855i −0.225253 0.974300i \(-0.572321\pi\)
0.337251 + 0.941415i \(0.390503\pi\)
\(564\) −3.32289 + 0.975687i −0.139919 + 0.0410838i
\(565\) 6.27091 + 2.86383i 0.263819 + 0.120482i
\(566\) −1.37820 9.58559i −0.0579301 0.402912i
\(567\) −2.14389 + 1.55039i −0.0900351 + 0.0651104i
\(568\) 1.90052 + 4.16155i 0.0797439 + 0.174615i
\(569\) −13.3317 20.7446i −0.558895 0.869658i 0.440713 0.897648i \(-0.354726\pi\)
−0.999608 + 0.0279900i \(0.991089\pi\)
\(570\) −1.97211 0.283546i −0.0826024 0.0118764i
\(571\) 5.71187 8.88784i 0.239034 0.371945i −0.700923 0.713237i \(-0.747228\pi\)
0.939957 + 0.341293i \(0.110865\pi\)
\(572\) 10.4759 12.0899i 0.438021 0.505503i
\(573\) −17.5409 5.15049i −0.732784 0.215165i
\(574\) −9.95631 0.877348i −0.415568 0.0366198i
\(575\) −12.3999 15.9637i −0.517112 0.665733i
\(576\) −1.00000 −0.0416667
\(577\) −5.56005 + 18.9358i −0.231468 + 0.788307i 0.759063 + 0.651017i \(0.225657\pi\)
−0.990531 + 0.137290i \(0.956161\pi\)
\(578\) 2.04856 2.36416i 0.0852088 0.0983361i
\(579\) −0.390095 + 0.606999i −0.0162118 + 0.0252260i
\(580\) −0.726864 + 5.05545i −0.0301814 + 0.209916i
\(581\) −6.28932 11.9838i −0.260925 0.497171i
\(582\) 7.48677 3.41909i 0.310337 0.141726i
\(583\) 22.5178 + 25.9869i 0.932592 + 1.07627i
\(584\) −12.3110 + 1.77005i −0.509431 + 0.0732452i
\(585\) −3.76625 1.71999i −0.155715 0.0711128i
\(586\) 27.1231 7.96405i 1.12044 0.328992i
\(587\) 0.923728 + 3.14593i 0.0381264 + 0.129846i 0.976357 0.216164i \(-0.0693545\pi\)
−0.938231 + 0.346010i \(0.887536\pi\)
\(588\) 5.76076 + 3.97664i 0.237570 + 0.163994i
\(589\) 1.95667 0.281326i 0.0806231 0.0115919i
\(590\) 7.15828 6.20268i 0.294702 0.255360i
\(591\) 10.2223 4.66838i 0.420490 0.192031i
\(592\) −1.84031 2.86358i −0.0756362 0.117692i
\(593\) −41.7604 6.00423i −1.71489 0.246564i −0.786348 0.617784i \(-0.788031\pi\)
−0.928545 + 0.371220i \(0.878940\pi\)
\(594\) −2.88004 1.85089i −0.118170 0.0759429i
\(595\) 6.07140 + 6.27505i 0.248903 + 0.257252i
\(596\) 2.27083 7.73375i 0.0930170 0.316787i
\(597\) 23.8414i 0.975765i
\(598\) 5.15269 + 21.8093i 0.210709 + 0.891848i
\(599\) 15.8902 0.649256 0.324628 0.945842i \(-0.394761\pi\)
0.324628 + 0.945842i \(0.394761\pi\)
\(600\) 1.18747 4.04414i 0.0484781 0.165101i
\(601\) 7.20109 + 6.23978i 0.293738 + 0.254526i 0.789245 0.614078i \(-0.210472\pi\)
−0.495507 + 0.868604i \(0.665018\pi\)
\(602\) −0.641748 0.497130i −0.0261557 0.0202615i
\(603\) −7.64906 1.09977i −0.311494 0.0447861i
\(604\) 3.35917 2.15881i 0.136683 0.0878407i
\(605\) −0.265183 0.580669i −0.0107812 0.0236076i
\(606\) −12.4573 14.3764i −0.506042 0.584003i
\(607\) 28.4118 4.08500i 1.15320 0.165805i 0.460925 0.887439i \(-0.347518\pi\)
0.692275 + 0.721634i \(0.256609\pi\)
\(608\) −0.934080 + 2.04535i −0.0378820 + 0.0829499i
\(609\) 14.9533 2.99550i 0.605939 0.121384i
\(610\) 7.03333 2.06517i 0.284771 0.0836163i
\(611\) −6.72246 + 14.7201i −0.271961 + 0.595513i
\(612\) 0.530049 + 3.68657i 0.0214260 + 0.149021i
\(613\) −34.8657 + 30.2113i −1.40821 + 1.22022i −0.466184 + 0.884688i \(0.654372\pi\)
−0.942028 + 0.335535i \(0.891083\pi\)
\(614\) 7.90804 3.61148i 0.319142 0.145747i
\(615\) −2.81596 + 1.80971i −0.113551 + 0.0729746i
\(616\) −2.07107 + 8.81780i −0.0834459 + 0.355279i
\(617\) 7.42027 11.5462i 0.298729 0.464831i −0.659147 0.752014i \(-0.729083\pi\)
0.957876 + 0.287183i \(0.0927189\pi\)
\(618\) −0.0688594 0.0596670i −0.00276993 0.00240016i
\(619\) −31.1439 9.14466i −1.25178 0.367555i −0.412349 0.911026i \(-0.635292\pi\)
−0.839428 + 0.543471i \(0.817110\pi\)
\(620\) 0.778986i 0.0312848i
\(621\) 4.46290 1.75572i 0.179090 0.0704546i
\(622\) 22.7060i 0.910428i
\(623\) −11.8813 + 30.3181i −0.476013 + 1.21467i
\(624\) −3.06000 + 3.53143i −0.122498 + 0.141370i
\(625\) 11.6425 + 7.48217i 0.465700 + 0.299287i
\(626\) −3.94483 + 27.4369i −0.157667 + 1.09660i
\(627\) −6.47591 + 4.16181i −0.258623 + 0.166207i
\(628\) 7.57932 + 16.5964i 0.302448 + 0.662268i
\(629\) −9.58133 + 8.30227i −0.382033 + 0.331033i
\(630\) 2.34081 0.128656i 0.0932599 0.00512576i
\(631\) 4.22901 + 1.93132i 0.168354 + 0.0768848i 0.497810 0.867286i \(-0.334138\pi\)
−0.329455 + 0.944171i \(0.606865\pi\)
\(632\) −2.06987 7.04933i −0.0823351 0.280407i
\(633\) −4.38338 14.9284i −0.174224 0.593351i
\(634\) 13.4932 29.5460i 0.535883 1.17342i
\(635\) 0.235045 + 1.63478i 0.00932749 + 0.0648741i
\(636\) −6.57740 7.59072i −0.260811 0.300992i
\(637\) 31.6711 8.17519i 1.25486 0.323913i
\(638\) 10.6687 + 16.6009i 0.422379 + 0.657234i
\(639\) 0.651088 4.52842i 0.0257566 0.179141i
\(640\) 0.745415 + 0.479049i 0.0294651 + 0.0189361i
\(641\) −3.80054 3.29318i −0.150112 0.130073i 0.576567 0.817050i \(-0.304392\pi\)
−0.726679 + 0.686977i \(0.758937\pi\)
\(642\) 1.13542 + 0.333391i 0.0448116 + 0.0131579i
\(643\) −28.0424 −1.10588 −0.552942 0.833219i \(-0.686495\pi\)
−0.552942 + 0.833219i \(0.686495\pi\)
\(644\) −8.32185 9.57846i −0.327927 0.377444i
\(645\) −0.271868 −0.0107048
\(646\) 8.03544 + 2.35942i 0.316150 + 0.0928301i
\(647\) 29.7293 + 25.7606i 1.16878 + 1.01275i 0.999631 + 0.0271630i \(0.00864732\pi\)
0.169149 + 0.985591i \(0.445898\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) 5.20812 36.2233i 0.204437 1.42189i
\(650\) −10.6479 16.5685i −0.417646 0.649870i
\(651\) −2.19244 + 0.776797i −0.0859286 + 0.0304451i
\(652\) 0.152079 + 0.175508i 0.00595587 + 0.00687344i
\(653\) −3.31227 23.0373i −0.129619 0.901520i −0.946037 0.324059i \(-0.894952\pi\)
0.816418 0.577461i \(-0.195957\pi\)
\(654\) −6.57302 + 14.3929i −0.257025 + 0.562807i
\(655\) −5.63050 19.1757i −0.220002 0.749258i
\(656\) 1.06430 + 3.62469i 0.0415541 + 0.141520i
\(657\) 11.3136 + 5.16675i 0.441386 + 0.201574i
\(658\) −0.502841 9.14887i −0.0196028 0.356660i
\(659\) −23.5846 + 20.4362i −0.918727 + 0.796082i −0.979369 0.202078i \(-0.935231\pi\)
0.0606420 + 0.998160i \(0.480685\pi\)
\(660\) 1.26016 + 2.75936i 0.0490516 + 0.107408i
\(661\) −18.5503 + 11.9215i −0.721521 + 0.463694i −0.849166 0.528126i \(-0.822895\pi\)
0.127644 + 0.991820i \(0.459258\pi\)
\(662\) −3.90240 + 27.1418i −0.151671 + 1.05490i
\(663\) 14.6408 + 9.40908i 0.568602 + 0.365418i
\(664\) −3.34983 + 3.86591i −0.129999 + 0.150026i
\(665\) 1.92335 4.90794i 0.0745845 0.190322i
\(666\) 3.40394i 0.131900i
\(667\) −27.6040 1.48078i −1.06883 0.0573360i
\(668\) 7.06587i 0.273387i
\(669\) −10.2941 3.02262i −0.397993 0.116861i
\(670\) 5.17488 + 4.48406i 0.199923 + 0.173234i
\(671\) 15.3119 23.8257i 0.591108 0.919783i
\(672\) 0.604956 2.57566i 0.0233367 0.0993583i
\(673\) −11.8336 + 7.60498i −0.456151 + 0.293151i −0.748468 0.663171i \(-0.769210\pi\)
0.292317 + 0.956322i \(0.405574\pi\)
\(674\) −13.5663 + 6.19554i −0.522556 + 0.238643i
\(675\) −3.18538 + 2.76015i −0.122606 + 0.106238i
\(676\) 1.25729 + 8.74464i 0.0483573 + 0.336332i
\(677\) −3.78431 + 8.28648i −0.145443 + 0.318475i −0.968307 0.249763i \(-0.919647\pi\)
0.822864 + 0.568238i \(0.192375\pi\)
\(678\) −7.46509 + 2.19195i −0.286695 + 0.0841813i
\(679\) 4.27726 + 21.3518i 0.164146 + 0.819406i
\(680\) 1.37094 3.00195i 0.0525733 0.115119i
\(681\) −17.9236 + 2.57702i −0.686833 + 0.0987517i
\(682\) −1.97097 2.27462i −0.0754722 0.0870995i
\(683\) 13.4363 + 29.4215i 0.514127 + 1.12578i 0.971616 + 0.236566i \(0.0760218\pi\)
−0.457488 + 0.889216i \(0.651251\pi\)
\(684\) 1.89160 1.21566i 0.0723271 0.0464818i
\(685\) −7.48911 1.07677i −0.286144 0.0411413i
\(686\) −13.7275 + 12.4321i −0.524117 + 0.474659i
\(687\) −15.3662 13.3149i −0.586258 0.507995i
\(688\) −0.0864418 + 0.294394i −0.00329556 + 0.0112237i
\(689\) −46.9329 −1.78800
\(690\) −4.16779 0.829208i −0.158665 0.0315674i
\(691\) 1.77135i 0.0673852i 0.999432 + 0.0336926i \(0.0107267\pi\)
−0.999432 + 0.0336926i \(0.989273\pi\)
\(692\) −0.379155 + 1.29128i −0.0144133 + 0.0490872i
\(693\) 6.50956 6.29830i 0.247278 0.239253i
\(694\) −24.3027 15.6184i −0.922519 0.592867i
\(695\) 7.56594 + 1.08782i 0.286992 + 0.0412633i
\(696\) −3.11631 4.84907i −0.118123 0.183804i
\(697\) 12.7985 5.84490i 0.484779 0.221391i
\(698\) −0.821826 + 0.712116i −0.0311066 + 0.0269540i
\(699\) 15.8325 2.27636i 0.598838 0.0860999i
\(700\) 9.69796 + 5.50503i 0.366548 + 0.208071i
\(701\) 4.79179 + 16.3193i 0.180983 + 0.616373i 0.999143 + 0.0413823i \(0.0131762\pi\)
−0.818160 + 0.574991i \(0.805006\pi\)
\(702\) 4.48347 1.31647i 0.169218 0.0496868i
\(703\) 6.96225 + 3.17955i 0.262586 + 0.119919i
\(704\) 3.38866 0.487216i 0.127715 0.0183627i
\(705\) −2.00953 2.31912i −0.0756832 0.0873430i
\(706\) −12.8562 + 5.87121i −0.483848 + 0.220966i
\(707\) 44.5649 23.3886i 1.67604 0.879618i
\(708\) −1.52128 + 10.5807i −0.0571732 + 0.397649i
\(709\) −11.1046 + 17.2790i −0.417040 + 0.648928i −0.984684 0.174347i \(-0.944219\pi\)
0.567644 + 0.823274i \(0.307855\pi\)
\(710\) −2.65467 + 3.06365i −0.0996278 + 0.114977i
\(711\) −2.06987 + 7.04933i −0.0776262 + 0.264371i
\(712\) 12.3077 0.461250
\(713\) 4.19945 0.375619i 0.157270 0.0140670i
\(714\) −9.81602 0.864986i −0.367355 0.0323713i
\(715\) 13.6006 + 3.99349i 0.508633 + 0.149348i
\(716\) −1.20901 + 1.39528i −0.0451829 + 0.0521439i
\(717\) −8.58737 + 13.3622i −0.320701 + 0.499021i
\(718\) −18.1614 2.61122i −0.677777 0.0974497i
\(719\) −8.25329 12.8424i −0.307796 0.478940i 0.652552 0.757744i \(-0.273698\pi\)
−0.960348 + 0.278804i \(0.910062\pi\)
\(720\) −0.368090 0.806004i −0.0137179 0.0300380i
\(721\) 0.195339 0.141263i 0.00727480 0.00526089i
\(722\) 1.98444 + 13.8021i 0.0738533 + 0.513661i
\(723\) −12.8560 5.87114i −0.478120 0.218350i
\(724\) −17.1988 + 5.05003i −0.639189 + 0.187683i
\(725\) 23.3108 6.84468i 0.865742 0.254205i
\(726\) 0.655326 + 0.299277i 0.0243214 + 0.0111072i
\(727\) 2.77581 + 19.3062i 0.102949 + 0.716027i 0.974282 + 0.225334i \(0.0723473\pi\)
−0.871332 + 0.490693i \(0.836744\pi\)
\(728\) −7.24459 10.0179i −0.268503 0.371287i
\(729\) −0.415415 0.909632i −0.0153857 0.0336901i
\(730\) −5.95820 9.27115i −0.220523 0.343141i
\(731\) 1.13112 + 0.162631i 0.0418361 + 0.00601512i
\(732\) −4.47256 + 6.95945i −0.165311 + 0.257229i
\(733\) −33.8086 + 39.0172i −1.24875 + 1.44113i −0.396468 + 0.918049i \(0.629764\pi\)
−0.852281 + 0.523084i \(0.824781\pi\)
\(734\) −25.5923 7.51458i −0.944630 0.277368i
\(735\) −1.08471 + 6.10695i −0.0400101 + 0.225258i
\(736\) −2.22308 + 4.24946i −0.0819439 + 0.156637i
\(737\) 26.4559 0.974517
\(738\) 1.06430 3.62469i 0.0391776 0.133427i
\(739\) 12.0005 13.8493i 0.441445 0.509455i −0.490805 0.871270i \(-0.663297\pi\)
0.932250 + 0.361814i \(0.117843\pi\)
\(740\) 1.63065 2.53735i 0.0599441 0.0932748i
\(741\) 1.49529 10.3999i 0.0549307 0.382052i
\(742\) 23.5302 12.3491i 0.863819 0.453350i
\(743\) −6.40178 + 2.92360i −0.234859 + 0.107256i −0.529368 0.848392i \(-0.677571\pi\)
0.294510 + 0.955649i \(0.404844\pi\)
\(744\) 0.575715 + 0.664410i 0.0211067 + 0.0243585i
\(745\) 7.06930 1.01641i 0.258999 0.0372385i
\(746\) 1.95630 + 0.893414i 0.0716254 + 0.0327102i
\(747\) 4.90813 1.44116i 0.179579 0.0527291i
\(748\) −3.59232 12.2343i −0.131348 0.447331i
\(749\) −1.54558 + 2.72278i −0.0564744 + 0.0994883i
\(750\) 8.08197 1.16201i 0.295112 0.0424307i
\(751\) 21.2599 18.4218i 0.775786 0.672222i −0.174132 0.984722i \(-0.555712\pi\)
0.949918 + 0.312500i \(0.101166\pi\)
\(752\) −3.15021 + 1.43865i −0.114876 + 0.0524622i
\(753\) −10.8966 16.9555i −0.397095 0.617891i
\(754\) −26.6601 3.83314i −0.970902 0.139595i
\(755\) 2.97648 + 1.91287i 0.108325 + 0.0696165i
\(756\) −1.90143 + 1.83972i −0.0691543 + 0.0669100i
\(757\) −11.9786 + 40.7953i −0.435368 + 1.48273i 0.391418 + 0.920213i \(0.371985\pi\)
−0.826787 + 0.562516i \(0.809834\pi\)
\(758\) 5.16302i 0.187529i
\(759\) −14.2678 + 8.12394i −0.517890 + 0.294880i
\(760\) −1.99239 −0.0722714
\(761\) −9.24117 + 31.4725i −0.334992 + 1.14088i 0.604013 + 0.796975i \(0.293568\pi\)
−0.939005 + 0.343904i \(0.888251\pi\)
\(762\) −1.40867 1.22062i −0.0510306 0.0442183i
\(763\) −33.0948 25.6369i −1.19811 0.928119i
\(764\) −18.0954 2.60173i −0.654668 0.0941271i
\(765\) −2.77629 + 1.78421i −0.100377 + 0.0645083i
\(766\) 1.74168 + 3.81375i 0.0629295 + 0.137796i
\(767\) 32.7100 + 37.7493i 1.18109 + 1.36305i
\(768\) −0.989821 + 0.142315i −0.0357171 + 0.00513534i
\(769\) 16.9550 37.1263i 0.611414 1.33881i −0.310189 0.950675i \(-0.600392\pi\)
0.921603 0.388134i \(-0.126880\pi\)
\(770\) −7.86952 + 1.57645i −0.283598 + 0.0568113i
\(771\) 4.56930 1.34167i 0.164559 0.0483190i
\(772\) −0.299739 + 0.656337i −0.0107878 + 0.0236221i
\(773\) −3.34578 23.2704i −0.120339 0.836978i −0.957172 0.289519i \(-0.906505\pi\)
0.836833 0.547458i \(-0.184405\pi\)
\(774\)