Properties

Label 966.2.s.a.97.6
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 97.6
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.126102 - 0.877058i) q^{5} +(0.540641 + 0.841254i) q^{6} +(2.30089 - 1.30610i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(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} +(2.30089 - 1.30610i) 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} +(-2.57566 + 0.604956i) 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} +(-2.59421 - 0.519681i) 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} +(2.64176 + 0.145197i) 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} +(-0.855377 - 2.18272i) 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} +(2.34272 + 1.22950i) 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} +(3.58822 - 6.01038i) 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} +(-2.49385 - 0.883586i) 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} +(1.62026 + 2.09160i) 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} +(-6.50956 - 6.29830i) 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} +(-1.90143 - 1.83972i) 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} +(-5.13619 + 4.75600i) 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 \(-0.891058\pi\)
0.998396 0.0566226i \(-0.0180332\pi\)
\(6\) 0.540641 + 0.841254i 0.220716 + 0.343440i
\(7\) 2.30089 1.30610i 0.869656 0.493659i
\(8\) −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 −0.273036 0.962004i \(-0.588028\pi\)
−0.905835 + 0.423631i \(0.860755\pi\)
\(14\) −2.57566 + 0.604956i −0.688374 + 0.161681i
\(15\) −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 −0.862315 0.506372i \(-0.830986\pi\)
0.102394 + 0.994744i \(0.467350\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) 1.89160 + 1.21566i 0.433962 + 0.278891i 0.739329 0.673344i \(-0.235143\pi\)
−0.305367 + 0.952235i \(0.598779\pi\)
\(20\) 0.580257 0.669652i 0.129749 0.149739i
\(21\) −2.59421 0.519681i −0.566103 0.113404i
\(22\) 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
\(28\) 2.64176 + 0.145197i 0.499246 + 0.0274396i
\(29\) 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 −0.593151 0.805091i \(-0.702116\pi\)
0.712482 + 0.701690i \(0.247571\pi\)
\(32\) −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
\(35\) −0.855377 2.18272i −0.144585 0.368947i
\(36\) −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 −0.156005 0.987756i \(-0.549862\pi\)
−0.427969 + 0.903793i \(0.640771\pi\)
\(42\) 2.34272 + 1.22950i 0.361489 + 0.189717i
\(43\) 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 \(-0.918722\pi\)
0.967577 0.252577i \(-0.0812783\pi\)
\(48\) 0.281733 0.959493i 0.0406646 0.138491i
\(49\) 3.58822 6.01038i 0.512602 0.858626i
\(50\) −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
\(56\) −2.49385 0.883586i −0.333254 0.118074i
\(57\) −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 −0.334596 0.942362i \(-0.608600\pi\)
−0.931303 + 0.364245i \(0.881327\pi\)
\(60\) −0.877058 + 0.126102i −0.113228 + 0.0162797i
\(61\) −5.41747 6.25210i −0.693636 0.800499i 0.294242 0.955731i \(-0.404933\pi\)
−0.987878 + 0.155232i \(0.950387\pi\)
\(62\) −0.799694 + 0.365208i −0.101561 + 0.0463815i
\(63\) 1.62026 + 2.09160i 0.204133 + 0.263516i
\(64\) −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 \(0.441300\pi\)
−0.970382 + 0.241574i \(0.922336\pi\)
\(74\) 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
\(77\) −6.50956 6.29830i −0.741833 0.717758i
\(78\) −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 \(0.0451254\pi\)
−0.910061 + 0.414474i \(0.863965\pi\)
\(84\) −1.90143 1.83972i −0.207463 0.200730i
\(85\) 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 −0.145655 0.989335i \(-0.546529\pi\)
0.999994 + 0.00337520i \(0.00107436\pi\)
\(90\) −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 \(-0.817332\pi\)
0.958737 0.284294i \(-0.0917592\pi\)
\(98\) −5.13619 + 4.75600i −0.518833 + 0.480429i
\(99\) 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 −0.982744 0.184968i \(-0.940782\pi\)
−0.890825 + 0.454347i \(0.849873\pi\)
\(102\) −3.38791 1.54721i −0.335453 0.153196i
\(103\) −0.0874233 + 0.0256698i −0.00861407 + 0.00252932i −0.286037 0.958219i \(-0.592338\pi\)
0.277423 + 0.960748i \(0.410520\pi\)
\(104\) 1.31647 + 4.48347i 0.129090 + 0.439640i
\(105\) −0.782925 + 2.20974i −0.0764057 + 0.215649i
\(106\) 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
\(112\) 2.14389 + 1.55039i 0.202579 + 0.146498i
\(113\) 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
\(119\) −4.57927 + 8.72540i −0.419781 + 0.799857i
\(120\) 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
\(126\) −0.965353 2.46335i −0.0860005 0.219453i
\(127\) 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 \(-0.190990\pi\)
0.967211 0.253973i \(-0.0817374\pi\)
\(132\) −2.88004 + 1.85089i −0.250675 + 0.161099i
\(133\) 5.94013 + 0.326482i 0.515075 + 0.0283096i
\(134\) 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 \(0.119220\pi\)
−0.930676 + 0.365845i \(0.880780\pi\)
\(140\) 0.460477 2.29867i 0.0389175 0.194273i
\(141\) −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
\(147\) −6.64776 + 2.19256i −0.548298 + 0.180840i
\(148\) −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
\(154\) 4.47144 + 7.87713i 0.360319 + 0.634757i
\(155\) −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 −0.241869 0.970309i \(-0.577761\pi\)
−0.983100 + 0.183069i \(0.941397\pi\)
\(158\) −5.55244 4.81122i −0.441729 0.382760i
\(159\) 9.63711 + 2.82971i 0.764273 + 0.224411i
\(160\) −0.886077 −0.0700505
\(161\) −12.6140 1.37400i −0.994120 0.108286i
\(162\) 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 0.957009 0.290057i \(-0.0936743\pi\)
−0.661401 + 0.750032i \(0.730038\pi\)
\(168\) 1.30610 + 2.30089i 0.100768 + 0.177518i
\(169\) 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 0.943823 0.330451i \(-0.107201\pi\)
−0.972650 + 0.232276i \(0.925383\pi\)
\(174\) 5.24321 + 2.39450i 0.397487 + 0.181526i
\(175\) 10.8561 2.54981i 0.820642 0.192747i
\(176\) 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 \(-0.540658\pi\)
0.999886 0.0150673i \(-0.00479626\pi\)
\(182\) 12.1221 + 2.42834i 0.898549 + 0.180000i
\(183\) 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
\(189\) 0.145197 2.64176i 0.0105615 0.192160i
\(190\) −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
\(196\) 6.26806 3.11632i 0.447718 0.222594i
\(197\) 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 \(0.0931491\pi\)
0.149277 + 0.988795i \(0.452305\pi\)
\(200\) −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
\(203\) 7.08699 13.5037i 0.497409 0.947771i
\(204\) 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
\(210\) 1.37377 1.89965i 0.0947989 0.131089i
\(211\) −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
\(217\) 0.776797 2.19244i 0.0527324 0.148833i
\(218\) 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 −0.0609257 0.998142i \(-0.519405\pi\)
0.714448 + 0.699689i \(0.246678\pi\)
\(224\) −1.62026 2.09160i −0.108258 0.139751i
\(225\) −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 −0.210544 0.977584i \(-0.567524\pi\)
0.997598 + 0.0692764i \(0.0220691\pi\)
\(228\) 0.633489 2.15747i 0.0419538 0.142882i
\(229\) 20.3324 1.34360 0.671802 0.740731i \(-0.265520\pi\)
0.671802 + 0.740731i \(0.265520\pi\)
\(230\) 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
\(238\) 6.85200 7.08184i 0.444149 0.459047i
\(239\) 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 0.185909 0.982567i \(-0.440477\pi\)
0.687613 + 0.726078i \(0.258659\pi\)
\(242\) 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
\(245\) −4.81897 3.90499i −0.307873 0.249481i
\(246\) −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 0.827710 0.561156i \(-0.189643\pi\)
0.392930 + 0.919568i \(0.371461\pi\)
\(252\) 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 −0.912223 0.409693i \(-0.865636\pi\)
0.751621 + 0.659595i \(0.229272\pi\)
\(258\) −0.0436654 + 0.303699i −0.00271849 + 0.0189075i
\(259\) −7.11967 + 5.51525i −0.442395 + 0.342701i
\(260\) −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
\(266\) −5.60753 1.98679i −0.343820 0.121818i
\(267\) −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 −0.154562 0.987983i \(-0.549397\pi\)
0.645451 + 0.763802i \(0.276669\pi\)
\(270\) 0.479049 + 0.745415i 0.0291540 + 0.0453645i
\(271\) 25.8923 + 3.72275i 1.57285 + 0.226141i 0.872844 0.488000i \(-0.162273\pi\)
0.700002 + 0.714141i \(0.253182\pi\)
\(272\) −3.13323 2.01361i −0.189980 0.122093i
\(273\) 10.0179 + 7.24459i 0.606309 + 0.438463i
\(274\) 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
\(280\) −1.08944 + 2.07583i −0.0651062 + 0.124054i
\(281\) −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 0.751568 0.659656i \(-0.229298\pi\)
−0.990707 + 0.136014i \(0.956571\pi\)
\(284\) −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
\(287\) −9.30583 + 3.64683i −0.549306 + 0.215265i
\(288\) 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 0.389676 0.920952i \(-0.372587\pi\)
0.999605 + 0.0281153i \(0.00895055\pi\)
\(294\) 6.99619 0.230860i 0.408026 0.0134640i
\(295\) −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
\(301\) 0.795962 + 0.159450i 0.0458785 + 0.00919053i
\(302\) −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 −0.446897 0.894586i \(-0.647471\pi\)
0.821880 + 0.569661i \(0.192925\pi\)
\(308\) −2.07107 8.81780i −0.118010 0.502441i
\(309\) 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 \(0.131721\pi\)
−0.552852 + 0.833280i \(0.686460\pi\)
\(312\) 1.94113 4.25048i 0.109895 0.240636i
\(313\) 3.94483 + 27.4369i 0.222975 + 1.55082i 0.726696 + 0.686959i \(0.241055\pi\)
−0.503722 + 0.863866i \(0.668036\pi\)
\(314\) 11.9481 + 13.7888i 0.674268 + 0.778146i
\(315\) 2.03877 1.15730i 0.114872 0.0652066i
\(316\) 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
\(322\) 11.7159 + 4.87211i 0.652902 + 0.271512i
\(323\) −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
\(329\) −4.52324 7.96838i −0.249374 0.439311i
\(330\) −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
\(336\) −0.604956 2.57566i −0.0330030 0.140514i
\(337\) 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
\(343\) 0.405948 18.5158i 0.0219192 0.999760i
\(344\) 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 −0.856632 0.515928i \(-0.827447\pi\)
0.825162 + 0.564896i \(0.191084\pi\)
\(350\) −11.1347 0.611986i −0.595174 0.0327120i
\(351\) −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 −0.891028 0.453948i \(-0.850015\pi\)
0.322521 + 0.946562i \(0.395470\pi\)
\(354\) −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
\(357\) 9.17470 3.59544i 0.485577 0.190291i
\(358\) 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
\(364\) −10.9469 5.74516i −0.573775 0.301128i
\(365\) 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 \(-0.745107\pi\)
−0.696153 + 0.717893i \(0.745107\pi\)
\(368\) 0.935820 4.70364i 0.0487830 0.245194i
\(369\) 3.77771i 0.196660i
\(370\) 0.849748 2.89398i 0.0441763 0.150451i
\(371\) −15.5721 + 21.5332i −0.808463 + 1.11795i
\(372\) −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
\(378\) −0.883586 + 2.49385i −0.0454468 + 0.128270i
\(379\) −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 0.821548 0.570140i \(-0.193111\pi\)
−0.681255 + 0.732046i \(0.738565\pi\)
\(384\) −0.909632 + 0.415415i −0.0464195 + 0.0211991i
\(385\) −6.34484 + 4.91503i −0.323363 + 0.250493i
\(386\) 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 \(-0.991820\pi\)
0.391906 0.920005i \(-0.371816\pi\)
\(398\) −9.90409 21.6869i −0.496447 1.08707i
\(399\) −4.27545 4.13670i −0.214040 0.207094i
\(400\) 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
\(406\) −10.6043 + 10.9600i −0.526285 + 0.543937i
\(407\) 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 0.0706278 0.997503i \(-0.477500\pi\)
−0.213262 + 0.976995i \(0.568409\pi\)
\(410\) 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 \(0.101378\pi\)
−0.999459 + 0.0328834i \(0.989531\pi\)
\(420\) −1.85331 + 1.43567i −0.0904325 + 0.0700535i
\(421\) 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
\(427\) −20.6309 7.30965i −0.998398 0.353739i
\(428\) −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 0.0265761 0.999647i \(-0.491540\pi\)
−0.898271 + 0.439443i \(0.855176\pi\)
\(434\) −1.36301 + 1.88478i −0.0654267 + 0.0904725i
\(435\) −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 \(-0.685583\pi\)
0.914481 0.404628i \(-0.132599\pi\)
\(440\) 2.29256 + 1.98652i 0.109294 + 0.0947034i
\(441\) 6.45986 + 2.69633i 0.307613 + 0.128396i
\(442\) −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
\(448\) 0.965353 + 2.46335i 0.0456086 + 0.116382i
\(449\) 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
\(455\) −0.601175 + 10.9380i −0.0281835 + 0.512781i
\(456\) −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 \(-0.924103\pi\)
0.971708 0.236185i \(-0.0758971\pi\)
\(462\) 1.77913 8.88131i 0.0827728 0.413196i
\(463\) 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 0.961113 0.276156i \(-0.0890606\pi\)
−0.838100 + 0.545517i \(0.816333\pi\)
\(468\) 3.53143 3.06000i 0.163240 0.141448i
\(469\) 4.67493 + 19.9040i 0.215868 + 0.919081i
\(470\) 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
\(476\) −8.56963 + 4.86454i −0.392789 + 0.222966i
\(477\) −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 0.0256054 0.999672i \(-0.491849\pi\)
−0.898697 + 0.438570i \(0.855485\pi\)
\(480\) 0.669652 + 0.580257i 0.0305653 + 0.0264850i
\(481\) 15.2615 + 4.48117i 0.695862 + 0.204324i
\(482\) −14.1332 −0.643750
\(483\) 8.63322 + 9.29879i 0.392825 + 0.423110i
\(484\) −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
\(490\) 3.52361 + 5.10447i 0.159180 + 0.230597i
\(491\) 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
\(497\) −11.7836 + 2.76766i −0.528567 + 0.124147i
\(498\) −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 −0.729042 0.684469i \(-0.760034\pi\)
0.781255 + 0.624212i \(0.214580\pi\)
\(504\) 0.519681 2.59421i 0.0231484 0.115555i
\(505\) 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 0.268461 0.963291i \(-0.413485\pi\)
−0.915280 + 0.402819i \(0.868031\pi\)
\(510\) −1.78421 + 2.77629i −0.0790062 + 0.122936i
\(511\) −1.80590 + 32.8571i −0.0798881 + 1.45351i
\(512\) 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
\(518\) 8.38510 3.28600i 0.368420 0.144379i
\(519\) −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 0.998767 0.0496345i \(-0.0158056\pi\)
−0.191269 + 0.981538i \(0.561260\pi\)
\(522\) −2.39450 5.24321i −0.104804 0.229489i
\(523\) 1.34477 0.864234i 0.0588029 0.0377903i −0.510909 0.859635i \(-0.670691\pi\)
0.569712 + 0.821844i \(0.307055\pi\)
\(524\) 22.3252 + 3.20988i 0.975281 + 0.140224i
\(525\) −9.87424 5.18220i −0.430947 0.226170i
\(526\) −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
\(532\) 4.82065 + 3.48613i 0.209002 + 0.151143i
\(533\) 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
\(539\) −23.2040 5.98959i −0.999467 0.257990i
\(540\) −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
\(546\) −7.57104 9.77350i −0.324011 0.418267i
\(547\) 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
\(560\) 1.63013 1.68481i 0.0688857 0.0711963i
\(561\) −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 −0.337251 0.941415i \(-0.609497\pi\)
0.225253 + 0.974300i \(0.427679\pi\)
\(564\) −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
\(567\) −1.83972 + 1.90143i −0.0772610 + 0.0798525i
\(568\) 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 \(-0.774343\pi\)
0.990531 0.137290i \(-0.0438392\pi\)
\(578\) 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
\(581\) 8.28814 + 10.6992i 0.343850 + 0.443878i
\(582\) 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 0.938231 0.346010i \(-0.112464\pi\)
−0.976357 + 0.216164i \(0.930646\pi\)
\(588\) −6.77784 1.74955i −0.279513 0.0721501i
\(589\) 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 0.928545 0.371220i \(-0.121060\pi\)
0.786348 + 0.617784i \(0.211969\pi\)
\(594\) 2.88004 + 1.85089i 0.118170 + 0.0759429i
\(595\) 7.07523 + 5.11657i 0.290056 + 0.209759i
\(596\) 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 0.495507 0.868604i \(-0.334982\pi\)
−0.789245 + 0.614078i \(0.789528\pi\)
\(602\) −0.718798 0.377239i −0.0292960 0.0153751i
\(603\) −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 −0.692275 0.721634i \(-0.743391\pi\)
−0.460925 + 0.887439i \(0.652482\pi\)
\(608\) 0.934080 2.04535i 0.0378820 0.0829499i
\(609\) −14.1990 + 5.56440i −0.575373 + 0.225481i
\(610\) 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
\(616\) −0.497083 + 9.04411i −0.0200281 + 0.364398i
\(617\) 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 0.839428 0.543471i \(-0.182890\pi\)
0.412349 + 0.911026i \(0.364708\pi\)
\(620\) 0.778986i 0.0312848i
\(621\) −4.46290 + 1.75572i −0.179090 + 0.0704546i
\(622\) 22.7060i 0.910428i
\(623\) 6.39608 31.9287i 0.256253 1.27920i
\(624\) −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
\(630\) −2.28223 + 0.536037i −0.0909263 + 0.0213562i
\(631\) 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
\(637\) −26.9186 + 18.5818i −1.06655 + 0.736239i
\(638\) 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 \(-0.313505\pi\)
0.552942 + 0.833219i \(0.313505\pi\)
\(644\) −9.86870 7.97551i −0.388881 0.314279i
\(645\) −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 \(-0.991353\pi\)
−0.169149 0.985591i \(-0.554102\pi\)
\(648\) 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
\(651\) −2.02281 + 1.14824i −0.0792801 + 0.0450032i
\(652\) 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
\(658\) 2.09506 + 8.91995i 0.0816740 + 0.347736i
\(659\) −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 −0.127644 0.991820i \(-0.540742\pi\)
0.849166 + 0.528126i \(0.177105\pi\)
\(662\) −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
\(665\) 1.03541 5.16867i 0.0401513 0.200432i
\(666\) 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
\(672\) −0.145197 + 2.64176i −0.00560109 + 0.101908i
\(673\) −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 −0.822864 0.568238i \(-0.807625\pi\)
0.968307 + 0.249763i \(0.0803526\pi\)
\(678\) 7.46509 2.19195i 0.286695 0.0841813i
\(679\) −7.94538 20.2747i −0.304916 0.778072i
\(680\) 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
\(686\) −5.60601 + 17.6514i −0.214038 + 0.673934i
\(687\) −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 \(-0.989273\pi\)
0.999432 0.0336926i \(-0.0107267\pi\)
\(692\) 0.379155 1.29128i 0.0144133 0.0490872i
\(693\) 5.30779 7.33965i 0.201626 0.278810i
\(694\) −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
\(700\) 10.5112 + 3.72420i 0.397287 + 0.140762i
\(701\) 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
\(707\) −39.7879 + 30.8217i −1.49638 + 1.15917i
\(708\) −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 0.960348 0.278804i \(-0.0899380\pi\)
−0.652552 + 0.757744i \(0.726302\pi\)
\(720\) 0.368090 + 0.806004i 0.0137179 + 0.0300380i
\(721\) −0.167624 + 0.173247i −0.00624266 + 0.00645205i
\(722\) 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 \(-0.927653\pi\)
0.871332 0.490693i \(-0.163256\pi\)
\(728\) 8.88489 + 8.59655i 0.329296 + 0.318609i
\(729\) −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 \(-0.370236\pi\)
0.852281 0.523084i \(-0.175219\pi\)
\(734\) 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
\(742\) 21.0079 16.2738i 0.771225 0.597429i
\(743\) −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
\(749\) −1.04560 + 2.95112i −0.0382054 + 0.107831i
\(750\) 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
\(756\) 1.55039 2.14389i 0.0563872 0.0779727i
\(757\) −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 \(-0.706432\pi\)
0.939005 0.343904i \(-0.111749\pi\)
\(762\) 1.40867 + 1.22062i 0.0510306 + 0.0442183i
\(763\) −37.0683 19.4542i −1.34196 0.704288i
\(764\) −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 \(0.399608\pi\)
−0.921603 + 0.388134i \(0.873120\pi\)
\(770\) 7.47256 2.92839i 0.269292 0.105532i
\(771\) 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 \(0.0934955\pi\)
−0.836833 + 0.547458i \(0.815595\pi\)