Properties

Label 230.2.l.a.107.10
Level $230$
Weight $2$
Character 230.107
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 107.10
Character \(\chi\) \(=\) 230.107
Dual form 230.2.l.a.43.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.800541 - 0.599278i) q^{2} +(1.22288 + 0.456112i) q^{3} +(0.281733 - 0.959493i) q^{4} +(2.22567 + 0.215423i) q^{5} +(1.25231 - 0.367710i) q^{6} +(-2.43114 + 0.528861i) q^{7} +(-0.349464 - 0.936950i) q^{8} +(-0.979843 - 0.849039i) q^{9} +O(q^{10})\) \(q+(0.800541 - 0.599278i) q^{2} +(1.22288 + 0.456112i) q^{3} +(0.281733 - 0.959493i) q^{4} +(2.22567 + 0.215423i) q^{5} +(1.25231 - 0.367710i) q^{6} +(-2.43114 + 0.528861i) q^{7} +(-0.349464 - 0.936950i) q^{8} +(-0.979843 - 0.849039i) q^{9} +(1.91084 - 1.16134i) q^{10} +(3.01707 - 0.433789i) q^{11} +(0.782162 - 1.04485i) q^{12} +(-0.464228 + 2.13402i) q^{13} +(-1.62929 + 1.88030i) q^{14} +(2.62347 + 1.27859i) q^{15} +(-0.841254 - 0.540641i) q^{16} +(-2.42878 + 4.44798i) q^{17} +(-1.29322 - 0.0924926i) q^{18} +(-5.85563 - 1.71937i) q^{19} +(0.833740 - 2.07482i) q^{20} +(-3.21422 - 0.462135i) q^{21} +(2.15533 - 2.15533i) q^{22} +(1.66639 - 4.49702i) q^{23} -1.30517i q^{24} +(4.90719 + 0.958922i) q^{25} +(0.907238 + 1.98657i) q^{26} +(-2.68749 - 4.92177i) q^{27} +(-0.177492 + 2.48166i) q^{28} +(1.38545 + 4.71841i) q^{29} +(2.86643 - 0.548624i) q^{30} +(0.735099 - 1.60964i) q^{31} +(-0.997452 + 0.0713392i) q^{32} +(3.88738 + 0.845647i) q^{33} +(0.721236 + 5.01631i) q^{34} +(-5.52483 + 0.653345i) q^{35} +(-1.09070 + 0.700951i) q^{36} +(-0.219832 - 3.07366i) q^{37} +(-5.71805 + 2.13272i) q^{38} +(-1.54105 + 2.39792i) q^{39} +(-0.575950 - 2.16062i) q^{40} +(-2.35022 - 2.71229i) q^{41} +(-2.85006 + 1.55625i) q^{42} +(-3.49433 + 9.36866i) q^{43} +(0.433789 - 3.01707i) q^{44} +(-1.99790 - 2.10076i) q^{45} +(-1.36095 - 4.59868i) q^{46} +(-1.99697 - 1.99697i) q^{47} +(-0.782162 - 1.04485i) q^{48} +(-0.736692 + 0.336436i) q^{49} +(4.50306 - 2.17311i) q^{50} +(-4.99890 + 4.33157i) q^{51} +(1.91679 + 1.04665i) q^{52} +(2.52515 + 11.6079i) q^{53} +(-5.10095 - 2.32953i) q^{54} +(6.80843 - 0.315522i) q^{55} +(1.34511 + 2.09303i) q^{56} +(-6.37653 - 4.77341i) q^{57} +(3.93674 + 2.94701i) q^{58} +(-3.76041 - 5.85131i) q^{59} +(1.96592 - 2.15698i) q^{60} +(-2.41690 - 1.10376i) q^{61} +(-0.376146 - 1.72911i) q^{62} +(2.83116 + 1.54593i) q^{63} +(-0.755750 + 0.654861i) q^{64} +(-1.49294 + 4.64962i) q^{65} +(3.61878 - 1.65264i) q^{66} +(5.36609 + 7.16826i) q^{67} +(3.58354 + 3.58354i) q^{68} +(4.08894 - 4.73927i) q^{69} +(-4.03132 + 3.83394i) q^{70} +(1.05444 - 7.33376i) q^{71} +(-0.453087 + 1.21477i) q^{72} +(8.78164 - 4.79514i) q^{73} +(-2.01796 - 2.32885i) q^{74} +(5.56354 + 3.41087i) q^{75} +(-3.29944 + 5.13403i) q^{76} +(-7.10549 + 2.65021i) q^{77} +(0.203346 + 2.84315i) q^{78} +(11.0765 - 7.11843i) q^{79} +(-1.75588 - 1.38451i) q^{80} +(-0.488066 - 3.39458i) q^{81} +(-3.50686 - 0.762871i) q^{82} +(-12.5055 + 0.894411i) q^{83} +(-1.34896 + 2.95382i) q^{84} +(-6.36386 + 9.37651i) q^{85} +(2.81707 + 9.59408i) q^{86} +(-0.457879 + 6.40198i) q^{87} +(-1.46079 - 2.67525i) q^{88} +(-0.366362 - 0.802220i) q^{89} +(-2.85834 - 0.484447i) q^{90} -5.43361i q^{91} +(-3.84538 - 2.86584i) q^{92} +(1.63312 - 1.63312i) q^{93} +(-2.79540 - 0.401918i) q^{94} +(-12.6623 - 5.08818i) q^{95} +(-1.25231 - 0.367710i) q^{96} +(17.4198 + 1.24589i) q^{97} +(-0.388134 + 0.710814i) q^{98} +(-3.32456 - 2.13656i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{17}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.800541 0.599278i 0.566068 0.423753i
\(3\) 1.22288 + 0.456112i 0.706032 + 0.263336i 0.676727 0.736234i \(-0.263398\pi\)
0.0293051 + 0.999571i \(0.490671\pi\)
\(4\) 0.281733 0.959493i 0.140866 0.479746i
\(5\) 2.22567 + 0.215423i 0.995348 + 0.0963403i
\(6\) 1.25231 0.367710i 0.511252 0.150117i
\(7\) −2.43114 + 0.528861i −0.918883 + 0.199891i −0.647045 0.762452i \(-0.723995\pi\)
−0.271839 + 0.962343i \(0.587632\pi\)
\(8\) −0.349464 0.936950i −0.123554 0.331262i
\(9\) −0.979843 0.849039i −0.326614 0.283013i
\(10\) 1.91084 1.16134i 0.604260 0.367247i
\(11\) 3.01707 0.433789i 0.909680 0.130792i 0.328440 0.944525i \(-0.393477\pi\)
0.581240 + 0.813733i \(0.302568\pi\)
\(12\) 0.782162 1.04485i 0.225791 0.301621i
\(13\) −0.464228 + 2.13402i −0.128754 + 0.591871i 0.866879 + 0.498518i \(0.166122\pi\)
−0.995633 + 0.0933533i \(0.970241\pi\)
\(14\) −1.62929 + 1.88030i −0.435446 + 0.502532i
\(15\) 2.62347 + 1.27859i 0.677378 + 0.330131i
\(16\) −0.841254 0.540641i −0.210313 0.135160i
\(17\) −2.42878 + 4.44798i −0.589066 + 1.07879i 0.397833 + 0.917458i \(0.369762\pi\)
−0.986899 + 0.161337i \(0.948419\pi\)
\(18\) −1.29322 0.0924926i −0.304814 0.0218007i
\(19\) −5.85563 1.71937i −1.34337 0.394450i −0.470501 0.882399i \(-0.655927\pi\)
−0.872872 + 0.487949i \(0.837745\pi\)
\(20\) 0.833740 2.07482i 0.186430 0.463944i
\(21\) −3.21422 0.462135i −0.701400 0.100846i
\(22\) 2.15533 2.15533i 0.459517 0.459517i
\(23\) 1.66639 4.49702i 0.347466 0.937693i
\(24\) 1.30517i 0.266418i
\(25\) 4.90719 + 0.958922i 0.981437 + 0.191784i
\(26\) 0.907238 + 1.98657i 0.177924 + 0.389599i
\(27\) −2.68749 4.92177i −0.517207 0.947195i
\(28\) −0.177492 + 2.48166i −0.0335428 + 0.468989i
\(29\) 1.38545 + 4.71841i 0.257271 + 0.876186i 0.982276 + 0.187442i \(0.0600195\pi\)
−0.725004 + 0.688744i \(0.758162\pi\)
\(30\) 2.86643 0.548624i 0.523336 0.100165i
\(31\) 0.735099 1.60964i 0.132028 0.289100i −0.832059 0.554686i \(-0.812838\pi\)
0.964087 + 0.265586i \(0.0855655\pi\)
\(32\) −0.997452 + 0.0713392i −0.176326 + 0.0126111i
\(33\) 3.88738 + 0.845647i 0.676705 + 0.147208i
\(34\) 0.721236 + 5.01631i 0.123691 + 0.860290i
\(35\) −5.52483 + 0.653345i −0.933867 + 0.110436i
\(36\) −1.09070 + 0.700951i −0.181783 + 0.116825i
\(37\) −0.219832 3.07366i −0.0361402 0.505306i −0.982993 0.183640i \(-0.941212\pi\)
0.946853 0.321666i \(-0.104243\pi\)
\(38\) −5.71805 + 2.13272i −0.927590 + 0.345973i
\(39\) −1.54105 + 2.39792i −0.246765 + 0.383975i
\(40\) −0.575950 2.16062i −0.0910657 0.341624i
\(41\) −2.35022 2.71229i −0.367042 0.423589i 0.541945 0.840414i \(-0.317688\pi\)
−0.908987 + 0.416825i \(0.863143\pi\)
\(42\) −2.85006 + 1.55625i −0.439774 + 0.240135i
\(43\) −3.49433 + 9.36866i −0.532880 + 1.42871i 0.339838 + 0.940484i \(0.389628\pi\)
−0.872718 + 0.488224i \(0.837645\pi\)
\(44\) 0.433789 3.01707i 0.0653961 0.454840i
\(45\) −1.99790 2.10076i −0.297830 0.313163i
\(46\) −1.36095 4.59868i −0.200661 0.678038i
\(47\) −1.99697 1.99697i −0.291288 0.291288i 0.546301 0.837589i \(-0.316036\pi\)
−0.837589 + 0.546301i \(0.816036\pi\)
\(48\) −0.782162 1.04485i −0.112895 0.150811i
\(49\) −0.736692 + 0.336436i −0.105242 + 0.0480623i
\(50\) 4.50306 2.17311i 0.636830 0.307324i
\(51\) −4.99890 + 4.33157i −0.699985 + 0.606541i
\(52\) 1.91679 + 1.04665i 0.265811 + 0.145144i
\(53\) 2.52515 + 11.6079i 0.346856 + 1.59447i 0.738435 + 0.674325i \(0.235565\pi\)
−0.391579 + 0.920144i \(0.628071\pi\)
\(54\) −5.10095 2.32953i −0.694151 0.317008i
\(55\) 6.80843 0.315522i 0.918049 0.0425450i
\(56\) 1.34511 + 2.09303i 0.179748 + 0.279694i
\(57\) −6.37653 4.77341i −0.844592 0.632253i
\(58\) 3.93674 + 2.94701i 0.516920 + 0.386961i
\(59\) −3.76041 5.85131i −0.489564 0.761776i 0.505306 0.862940i \(-0.331380\pi\)
−0.994870 + 0.101164i \(0.967743\pi\)
\(60\) 1.96592 2.15698i 0.253799 0.278465i
\(61\) −2.41690 1.10376i −0.309452 0.141322i 0.254635 0.967037i \(-0.418045\pi\)
−0.564087 + 0.825715i \(0.690772\pi\)
\(62\) −0.376146 1.72911i −0.0477705 0.219598i
\(63\) 2.83116 + 1.54593i 0.356692 + 0.194769i
\(64\) −0.755750 + 0.654861i −0.0944687 + 0.0818576i
\(65\) −1.49294 + 4.64962i −0.185176 + 0.576714i
\(66\) 3.61878 1.65264i 0.445441 0.203426i
\(67\) 5.36609 + 7.16826i 0.655573 + 0.875743i 0.997962 0.0638157i \(-0.0203270\pi\)
−0.342389 + 0.939558i \(0.611236\pi\)
\(68\) 3.58354 + 3.58354i 0.434568 + 0.434568i
\(69\) 4.08894 4.73927i 0.492251 0.570541i
\(70\) −4.03132 + 3.83394i −0.481835 + 0.458243i
\(71\) 1.05444 7.33376i 0.125138 0.870357i −0.826456 0.563001i \(-0.809647\pi\)
0.951595 0.307356i \(-0.0994442\pi\)
\(72\) −0.453087 + 1.21477i −0.0533968 + 0.143162i
\(73\) 8.78164 4.79514i 1.02781 0.561229i 0.125403 0.992106i \(-0.459978\pi\)
0.902410 + 0.430877i \(0.141796\pi\)
\(74\) −2.01796 2.32885i −0.234583 0.270723i
\(75\) 5.56354 + 3.41087i 0.642422 + 0.393854i
\(76\) −3.29944 + 5.13403i −0.378472 + 0.588914i
\(77\) −7.10549 + 2.65021i −0.809745 + 0.302019i
\(78\) 0.203346 + 2.84315i 0.0230244 + 0.321923i
\(79\) 11.0765 7.11843i 1.24620 0.800886i 0.259869 0.965644i \(-0.416321\pi\)
0.986334 + 0.164758i \(0.0526842\pi\)
\(80\) −1.75588 1.38451i −0.196314 0.154793i
\(81\) −0.488066 3.39458i −0.0542296 0.377175i
\(82\) −3.50686 0.762871i −0.387268 0.0842450i
\(83\) −12.5055 + 0.894411i −1.37266 + 0.0981744i −0.738095 0.674697i \(-0.764274\pi\)
−0.634562 + 0.772872i \(0.718820\pi\)
\(84\) −1.34896 + 2.95382i −0.147184 + 0.322288i
\(85\) −6.36386 + 9.37651i −0.690258 + 1.01703i
\(86\) 2.81707 + 9.59408i 0.303773 + 1.03456i
\(87\) −0.457879 + 6.40198i −0.0490897 + 0.686364i
\(88\) −1.46079 2.67525i −0.155721 0.285182i
\(89\) −0.366362 0.802220i −0.0388342 0.0850351i 0.889221 0.457479i \(-0.151247\pi\)
−0.928055 + 0.372443i \(0.878520\pi\)
\(90\) −2.85834 0.484447i −0.301296 0.0510651i
\(91\) 5.43361i 0.569597i
\(92\) −3.84538 2.86584i −0.400908 0.298785i
\(93\) 1.63312 1.63312i 0.169346 0.169346i
\(94\) −2.79540 0.401918i −0.288324 0.0414547i
\(95\) −12.6623 5.08818i −1.29912 0.522036i
\(96\) −1.25231 0.367710i −0.127813 0.0375293i
\(97\) 17.4198 + 1.24589i 1.76872 + 0.126501i 0.917353 0.398074i \(-0.130321\pi\)
0.851364 + 0.524575i \(0.175776\pi\)
\(98\) −0.388134 + 0.710814i −0.0392074 + 0.0718031i
\(99\) −3.32456 2.13656i −0.334130 0.214733i
\(100\) 2.30259 4.43825i 0.230259 0.443825i
\(101\) 10.4687 12.0815i 1.04167 1.20216i 0.0627291 0.998031i \(-0.480020\pi\)
0.978945 0.204125i \(-0.0654350\pi\)
\(102\) −1.40601 + 6.46333i −0.139216 + 0.639965i
\(103\) 3.69443 4.93518i 0.364023 0.486278i −0.580714 0.814108i \(-0.697226\pi\)
0.944737 + 0.327830i \(0.106317\pi\)
\(104\) 2.16170 0.310806i 0.211972 0.0304770i
\(105\) −7.05422 1.72098i −0.688421 0.167950i
\(106\) 8.97784 + 7.77935i 0.872005 + 0.755597i
\(107\) 3.02362 + 8.10663i 0.292304 + 0.783698i 0.997227 + 0.0744143i \(0.0237087\pi\)
−0.704923 + 0.709284i \(0.749019\pi\)
\(108\) −5.47955 + 1.19200i −0.527270 + 0.114701i
\(109\) 12.7770 3.75166i 1.22381 0.359344i 0.394901 0.918724i \(-0.370779\pi\)
0.828911 + 0.559380i \(0.188961\pi\)
\(110\) 5.26135 4.33273i 0.501650 0.413110i
\(111\) 1.13310 3.85899i 0.107549 0.366279i
\(112\) 2.33113 + 0.869465i 0.220271 + 0.0821567i
\(113\) −1.41726 + 1.06095i −0.133325 + 0.0998056i −0.663859 0.747858i \(-0.731082\pi\)
0.530534 + 0.847664i \(0.321991\pi\)
\(114\) −7.96527 −0.746016
\(115\) 4.67759 9.64988i 0.436187 0.899856i
\(116\) 4.91760 0.456588
\(117\) 2.26674 1.69686i 0.209560 0.156875i
\(118\) −6.51692 2.43069i −0.599931 0.223763i
\(119\) 3.55234 12.0981i 0.325642 1.10904i
\(120\) 0.281165 2.90488i 0.0256668 0.265178i
\(121\) −1.63990 + 0.481519i −0.149082 + 0.0437745i
\(122\) −2.59629 + 0.564787i −0.235057 + 0.0511335i
\(123\) −1.63693 4.38878i −0.147597 0.395723i
\(124\) −1.33734 1.15881i −0.120097 0.104064i
\(125\) 10.7152 + 3.19136i 0.958395 + 0.285444i
\(126\) 3.19290 0.459070i 0.284446 0.0408972i
\(127\) 2.13889 2.85722i 0.189796 0.253537i −0.695543 0.718485i \(-0.744836\pi\)
0.885338 + 0.464948i \(0.153927\pi\)
\(128\) −0.212565 + 0.977147i −0.0187883 + 0.0863684i
\(129\) −8.54632 + 9.86298i −0.752461 + 0.868387i
\(130\) 1.59126 + 4.61689i 0.139562 + 0.404928i
\(131\) −0.487548 0.313328i −0.0425973 0.0273756i 0.519169 0.854672i \(-0.326242\pi\)
−0.561766 + 0.827296i \(0.689878\pi\)
\(132\) 1.90659 3.49166i 0.165948 0.303910i
\(133\) 15.1451 + 1.08320i 1.31325 + 0.0939255i
\(134\) 8.59156 + 2.52271i 0.742198 + 0.217929i
\(135\) −4.92119 11.5332i −0.423549 0.992617i
\(136\) 5.01631 + 0.721236i 0.430145 + 0.0618455i
\(137\) −9.05313 + 9.05313i −0.773461 + 0.773461i −0.978710 0.205249i \(-0.934200\pi\)
0.205249 + 0.978710i \(0.434200\pi\)
\(138\) 0.433230 6.24439i 0.0368790 0.531558i
\(139\) 13.6198i 1.15522i −0.816314 0.577608i \(-0.803986\pi\)
0.816314 0.577608i \(-0.196014\pi\)
\(140\) −0.929644 + 5.48510i −0.0785693 + 0.463576i
\(141\) −1.53122 3.35291i −0.128952 0.282366i
\(142\) −3.55084 6.50287i −0.297980 0.545709i
\(143\) −0.474892 + 6.63986i −0.0397125 + 0.555253i
\(144\) 0.365271 + 1.24400i 0.0304393 + 0.103667i
\(145\) 2.06709 + 10.8001i 0.171663 + 0.896896i
\(146\) 4.15645 9.10135i 0.343990 0.753233i
\(147\) −1.05434 + 0.0754080i −0.0869606 + 0.00621954i
\(148\) −3.01109 0.655022i −0.247510 0.0538425i
\(149\) 0.703198 + 4.89085i 0.0576083 + 0.400674i 0.998140 + 0.0609677i \(0.0194187\pi\)
−0.940531 + 0.339707i \(0.889672\pi\)
\(150\) 6.49790 0.603559i 0.530552 0.0492804i
\(151\) −7.13450 + 4.58506i −0.580597 + 0.373127i −0.797730 0.603015i \(-0.793966\pi\)
0.217133 + 0.976142i \(0.430330\pi\)
\(152\) 0.435371 + 6.08729i 0.0353133 + 0.493744i
\(153\) 6.15634 2.29620i 0.497711 0.185636i
\(154\) −4.10002 + 6.37976i −0.330389 + 0.514096i
\(155\) 1.98284 3.42417i 0.159266 0.275036i
\(156\) 1.86662 + 2.15420i 0.149450 + 0.172474i
\(157\) 12.6803 6.92399i 1.01200 0.552595i 0.114415 0.993433i \(-0.463501\pi\)
0.897587 + 0.440838i \(0.145319\pi\)
\(158\) 4.60127 12.3365i 0.366058 0.981439i
\(159\) −2.20655 + 15.3469i −0.174991 + 1.21709i
\(160\) −2.23536 0.0560973i −0.176721 0.00443488i
\(161\) −1.67292 + 11.8141i −0.131845 + 0.931085i
\(162\) −2.42501 2.42501i −0.190527 0.190527i
\(163\) −3.22123 4.30306i −0.252306 0.337042i 0.656450 0.754370i \(-0.272057\pi\)
−0.908756 + 0.417328i \(0.862967\pi\)
\(164\) −3.26456 + 1.49087i −0.254919 + 0.116418i
\(165\) 8.46983 + 2.71956i 0.659376 + 0.211717i
\(166\) −9.47517 + 8.21028i −0.735416 + 0.637241i
\(167\) −11.5821 6.32430i −0.896249 0.489389i −0.0360516 0.999350i \(-0.511478\pi\)
−0.860198 + 0.509961i \(0.829660\pi\)
\(168\) 0.690257 + 3.17306i 0.0532545 + 0.244807i
\(169\) 7.48667 + 3.41905i 0.575898 + 0.263004i
\(170\) 0.524601 + 11.3200i 0.0402351 + 0.868205i
\(171\) 4.27779 + 6.65637i 0.327131 + 0.509025i
\(172\) 8.00470 + 5.99224i 0.610353 + 0.456904i
\(173\) −14.0562 10.5223i −1.06867 0.799998i −0.0880914 0.996112i \(-0.528077\pi\)
−0.980581 + 0.196114i \(0.937168\pi\)
\(174\) 3.47001 + 5.39944i 0.263061 + 0.409331i
\(175\) −12.4372 + 0.263952i −0.940162 + 0.0199529i
\(176\) −2.77264 1.26622i −0.208996 0.0954452i
\(177\) −1.92969 8.87064i −0.145044 0.666758i
\(178\) −0.774040 0.422658i −0.0580168 0.0316795i
\(179\) 3.98854 3.45609i 0.298118 0.258320i −0.492938 0.870064i \(-0.664077\pi\)
0.791056 + 0.611744i \(0.209532\pi\)
\(180\) −2.57854 + 1.32512i −0.192193 + 0.0987687i
\(181\) −9.67381 + 4.41788i −0.719048 + 0.328378i −0.741115 0.671378i \(-0.765703\pi\)
0.0220666 + 0.999757i \(0.492975\pi\)
\(182\) −3.25624 4.34983i −0.241369 0.322431i
\(183\) −2.45215 2.45215i −0.181268 0.181268i
\(184\) −4.79582 + 0.0102236i −0.353553 + 0.000753692i
\(185\) 0.172864 6.88829i 0.0127092 0.506437i
\(186\) 0.328687 2.28607i 0.0241005 0.167623i
\(187\) −5.39831 + 14.4734i −0.394764 + 1.05840i
\(188\) −2.47869 + 1.35347i −0.180777 + 0.0987119i
\(189\) 9.13659 + 10.5442i 0.664589 + 0.766976i
\(190\) −13.1859 + 3.51493i −0.956607 + 0.255000i
\(191\) −2.14804 + 3.34241i −0.155426 + 0.241848i −0.910230 0.414102i \(-0.864096\pi\)
0.754804 + 0.655950i \(0.227732\pi\)
\(192\) −1.22288 + 0.456112i −0.0882540 + 0.0329170i
\(193\) 1.12307 + 15.7025i 0.0808401 + 1.13029i 0.862321 + 0.506363i \(0.169010\pi\)
−0.781480 + 0.623930i \(0.785535\pi\)
\(194\) 14.6919 9.44194i 1.05482 0.677891i
\(195\) −3.94643 + 5.00499i −0.282610 + 0.358415i
\(196\) 0.115258 + 0.801636i 0.00823270 + 0.0572597i
\(197\) 15.3802 + 3.34575i 1.09579 + 0.238375i 0.723903 0.689902i \(-0.242346\pi\)
0.371890 + 0.928277i \(0.378710\pi\)
\(198\) −3.94184 + 0.281926i −0.280134 + 0.0200356i
\(199\) 3.43839 7.52902i 0.243741 0.533718i −0.747737 0.663995i \(-0.768860\pi\)
0.991478 + 0.130277i \(0.0415868\pi\)
\(200\) −0.816424 4.93289i −0.0577299 0.348808i
\(201\) 3.29258 + 11.2135i 0.232240 + 0.790938i
\(202\) 1.14044 15.9454i 0.0802409 1.12191i
\(203\) −5.86360 10.7384i −0.411544 0.753686i
\(204\) 2.74776 + 6.01675i 0.192381 + 0.421257i
\(205\) −4.64651 6.54295i −0.324526 0.456980i
\(206\) 6.16480i 0.429522i
\(207\) −5.45094 + 2.99154i −0.378867 + 0.207927i
\(208\) 1.54427 1.54427i 0.107076 0.107076i
\(209\) −18.4127 2.64734i −1.27363 0.183120i
\(210\) −6.67854 + 2.84973i −0.460863 + 0.196650i
\(211\) 15.6941 + 4.60820i 1.08043 + 0.317242i 0.773049 0.634346i \(-0.218731\pi\)
0.307376 + 0.951588i \(0.400549\pi\)
\(212\) 11.8491 + 0.847466i 0.813801 + 0.0582042i
\(213\) 4.63446 8.48739i 0.317548 0.581546i
\(214\) 7.27866 + 4.67771i 0.497559 + 0.319762i
\(215\) −9.79545 + 20.0988i −0.668044 + 1.37072i
\(216\) −3.67227 + 4.23802i −0.249866 + 0.288361i
\(217\) −0.935849 + 4.30203i −0.0635295 + 0.292041i
\(218\) 7.98021 10.6603i 0.540488 0.722007i
\(219\) 12.9260 1.85848i 0.873461 0.125585i
\(220\) 1.61542 6.62154i 0.108911 0.446424i
\(221\) −8.36459 7.24796i −0.562663 0.487550i
\(222\) −1.40551 3.76833i −0.0943318 0.252913i
\(223\) −0.673756 + 0.146567i −0.0451180 + 0.00981483i −0.235068 0.971979i \(-0.575531\pi\)
0.189950 + 0.981794i \(0.439168\pi\)
\(224\) 2.38721 0.700949i 0.159502 0.0468341i
\(225\) −3.99411 5.10599i −0.266274 0.340399i
\(226\) −0.498773 + 1.69867i −0.0331779 + 0.112994i
\(227\) 0.0445550 + 0.0166181i 0.00295722 + 0.00110298i 0.350942 0.936397i \(-0.385861\pi\)
−0.347985 + 0.937500i \(0.613134\pi\)
\(228\) −6.37653 + 4.77341i −0.422296 + 0.316127i
\(229\) −28.5127 −1.88417 −0.942087 0.335370i \(-0.891139\pi\)
−0.942087 + 0.335370i \(0.891139\pi\)
\(230\) −2.03835 10.5283i −0.134405 0.694216i
\(231\) −9.89797 −0.651239
\(232\) 3.93674 2.94701i 0.258460 0.193481i
\(233\) −8.20511 3.06035i −0.537535 0.200490i 0.0660104 0.997819i \(-0.478973\pi\)
−0.603545 + 0.797329i \(0.706246\pi\)
\(234\) 0.797728 2.71681i 0.0521491 0.177604i
\(235\) −4.01440 4.87479i −0.261871 0.317996i
\(236\) −6.67372 + 1.95958i −0.434422 + 0.127558i
\(237\) 16.7921 3.65289i 1.09076 0.237281i
\(238\) −4.40636 11.8139i −0.285622 0.765781i
\(239\) 21.5819 + 18.7008i 1.39601 + 1.20965i 0.949059 + 0.315098i \(0.102037\pi\)
0.446956 + 0.894556i \(0.352508\pi\)
\(240\) −1.51575 2.49398i −0.0978411 0.160985i
\(241\) −28.8077 + 4.14193i −1.85567 + 0.266805i −0.977406 0.211372i \(-0.932207\pi\)
−0.878264 + 0.478177i \(0.841298\pi\)
\(242\) −1.02425 + 1.36823i −0.0658411 + 0.0879534i
\(243\) −2.62455 + 12.0649i −0.168365 + 0.773962i
\(244\) −1.73997 + 2.00803i −0.111390 + 0.128551i
\(245\) −1.71211 + 0.590094i −0.109383 + 0.0376997i
\(246\) −3.94053 2.53242i −0.251239 0.161461i
\(247\) 6.38752 11.6979i 0.406428 0.744317i
\(248\) −1.76504 0.126238i −0.112080 0.00801615i
\(249\) −15.7007 4.61015i −0.994993 0.292156i
\(250\) 10.4905 3.86655i 0.663475 0.244542i
\(251\) −16.0177 2.30299i −1.01103 0.145364i −0.383157 0.923683i \(-0.625163\pi\)
−0.627868 + 0.778320i \(0.716072\pi\)
\(252\) 2.28094 2.28094i 0.143686 0.143686i
\(253\) 3.07685 14.2907i 0.193440 0.898446i
\(254\) 3.56911i 0.223946i
\(255\) −12.0590 + 8.56375i −0.755164 + 0.536283i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) 0.681514 + 1.24810i 0.0425117 + 0.0778543i 0.898071 0.439850i \(-0.144968\pi\)
−0.855559 + 0.517705i \(0.826787\pi\)
\(258\) −0.931018 + 13.0173i −0.0579627 + 0.810424i
\(259\) 2.15998 + 7.35622i 0.134215 + 0.457093i
\(260\) 4.04067 + 2.74241i 0.250592 + 0.170077i
\(261\) 2.64859 5.79960i 0.163943 0.358986i
\(262\) −0.578073 + 0.0413446i −0.0357135 + 0.00255428i
\(263\) −22.5616 4.90798i −1.39121 0.302639i −0.546318 0.837578i \(-0.683971\pi\)
−0.844891 + 0.534939i \(0.820334\pi\)
\(264\) −0.566170 3.93780i −0.0348454 0.242355i
\(265\) 3.11952 + 26.3793i 0.191630 + 1.62047i
\(266\) 12.7734 8.20900i 0.783190 0.503326i
\(267\) −0.0821154 1.14812i −0.00502538 0.0702640i
\(268\) 8.38970 3.12920i 0.512483 0.191146i
\(269\) −9.56131 + 14.8777i −0.582963 + 0.907109i −0.999998 0.00178176i \(-0.999433\pi\)
0.417035 + 0.908890i \(0.363069\pi\)
\(270\) −10.8512 6.28361i −0.660382 0.382409i
\(271\) 17.7962 + 20.5379i 1.08104 + 1.24759i 0.967181 + 0.254090i \(0.0817760\pi\)
0.113860 + 0.993497i \(0.463679\pi\)
\(272\) 4.44798 2.42878i 0.269699 0.147267i
\(273\) 2.47834 6.64467i 0.149996 0.402154i
\(274\) −1.82206 + 12.6727i −0.110075 + 0.765588i
\(275\) 15.2213 + 0.764449i 0.917877 + 0.0460980i
\(276\) −3.39530 5.25852i −0.204373 0.316525i
\(277\) 7.69809 + 7.69809i 0.462533 + 0.462533i 0.899485 0.436952i \(-0.143942\pi\)
−0.436952 + 0.899485i \(0.643942\pi\)
\(278\) −8.16204 10.9032i −0.489526 0.653931i
\(279\) −2.08693 + 0.953070i −0.124941 + 0.0570588i
\(280\) 2.54288 + 4.94817i 0.151966 + 0.295710i
\(281\) −7.00710 + 6.07169i −0.418009 + 0.362206i −0.838325 0.545171i \(-0.816465\pi\)
0.420316 + 0.907378i \(0.361919\pi\)
\(282\) −3.23513 1.76651i −0.192649 0.105194i
\(283\) 3.22653 + 14.8321i 0.191797 + 0.881678i 0.967952 + 0.251136i \(0.0808040\pi\)
−0.776155 + 0.630543i \(0.782832\pi\)
\(284\) −6.73962 3.07788i −0.399923 0.182639i
\(285\) −13.1637 11.9977i −0.779751 0.710681i
\(286\) 3.59895 + 5.60008i 0.212810 + 0.331140i
\(287\) 7.14812 + 5.35102i 0.421940 + 0.315861i
\(288\) 1.03792 + 0.776975i 0.0611598 + 0.0457837i
\(289\) −4.69468 7.30506i −0.276158 0.429710i
\(290\) 8.12703 + 7.40713i 0.477235 + 0.434962i
\(291\) 20.7342 + 9.46898i 1.21546 + 0.555081i
\(292\) −2.12683 9.77687i −0.124463 0.572148i
\(293\) 17.7410 + 9.68731i 1.03644 + 0.565939i 0.905012 0.425387i \(-0.139862\pi\)
0.131428 + 0.991326i \(0.458044\pi\)
\(294\) −0.798853 + 0.692210i −0.0465901 + 0.0403705i
\(295\) −7.10891 13.8331i −0.413897 0.805397i
\(296\) −2.80304 + 1.28010i −0.162923 + 0.0744046i
\(297\) −10.2433 13.6835i −0.594379 0.793997i
\(298\) 3.49392 + 3.49392i 0.202397 + 0.202397i
\(299\) 8.82315 + 5.64375i 0.510256 + 0.326387i
\(300\) 4.84014 4.37722i 0.279446 0.252719i
\(301\) 3.54047 24.6245i 0.204069 1.41933i
\(302\) −2.96373 + 7.94608i −0.170544 + 0.457245i
\(303\) 18.3125 9.99939i 1.05203 0.574450i
\(304\) 3.99651 + 4.61222i 0.229215 + 0.264529i
\(305\) −5.14143 2.97726i −0.294398 0.170477i
\(306\) 3.55234 5.52756i 0.203074 0.315989i
\(307\) −21.2270 + 7.91725i −1.21149 + 0.451861i −0.872353 0.488877i \(-0.837407\pi\)
−0.339134 + 0.940738i \(0.610134\pi\)
\(308\) 0.541011 + 7.56432i 0.0308269 + 0.431017i
\(309\) 6.76885 4.35007i 0.385066 0.247467i
\(310\) −0.464683 3.92946i −0.0263922 0.223178i
\(311\) −0.533938 3.71362i −0.0302768 0.210580i 0.969067 0.246797i \(-0.0793782\pi\)
−0.999344 + 0.0362174i \(0.988469\pi\)
\(312\) 2.78527 + 0.605899i 0.157685 + 0.0343023i
\(313\) −12.4297 + 0.888986i −0.702565 + 0.0502485i −0.418051 0.908423i \(-0.637287\pi\)
−0.284514 + 0.958672i \(0.591832\pi\)
\(314\) 6.00174 13.1420i 0.338698 0.741645i
\(315\) 5.96818 + 4.05062i 0.336269 + 0.228227i
\(316\) −3.70948 12.6333i −0.208674 0.710679i
\(317\) 0.995962 13.9254i 0.0559388 0.782126i −0.889625 0.456691i \(-0.849035\pi\)
0.945564 0.325435i \(-0.105511\pi\)
\(318\) 7.43060 + 13.6081i 0.416688 + 0.763106i
\(319\) 6.22678 + 13.6348i 0.348633 + 0.763400i
\(320\) −1.82312 + 1.29470i −0.101915 + 0.0723757i
\(321\) 11.2926i 0.630290i
\(322\) 5.74071 + 10.4603i 0.319917 + 0.582927i
\(323\) 21.8698 21.8698i 1.21687 1.21687i
\(324\) −3.39458 0.488066i −0.188588 0.0271148i
\(325\) −4.32441 + 10.0269i −0.239875 + 0.556192i
\(326\) −5.15746 1.51437i −0.285645 0.0838730i
\(327\) 17.3359 + 1.23989i 0.958679 + 0.0685660i
\(328\) −1.71997 + 3.14988i −0.0949693 + 0.173923i
\(329\) 5.91104 + 3.79879i 0.325886 + 0.209434i
\(330\) 8.41022 2.89866i 0.462967 0.159566i
\(331\) −1.98627 + 2.29227i −0.109175 + 0.125995i −0.807707 0.589584i \(-0.799292\pi\)
0.698532 + 0.715579i \(0.253837\pi\)
\(332\) −2.66503 + 12.2509i −0.146262 + 0.672357i
\(333\) −2.39425 + 3.19835i −0.131204 + 0.175268i
\(334\) −13.0620 + 1.87803i −0.714718 + 0.102761i
\(335\) 10.3989 + 17.1101i 0.568154 + 0.934827i
\(336\) 2.45412 + 2.12651i 0.133883 + 0.116011i
\(337\) −4.58023 12.2801i −0.249501 0.668939i −0.999968 0.00803015i \(-0.997444\pi\)
0.750467 0.660908i \(-0.229829\pi\)
\(338\) 8.04235 1.74951i 0.437446 0.0951606i
\(339\) −2.21706 + 0.650986i −0.120414 + 0.0353567i
\(340\) 7.20379 + 8.74775i 0.390680 + 0.474413i
\(341\) 1.51960 5.17528i 0.0822908 0.280257i
\(342\) 7.41356 + 2.76511i 0.400879 + 0.149520i
\(343\) 15.5553 11.6445i 0.839906 0.628746i
\(344\) 9.99911 0.539116
\(345\) 10.1216 9.66717i 0.544927 0.520463i
\(346\) −17.5584 −0.943943
\(347\) −7.88816 + 5.90500i −0.423459 + 0.316997i −0.789667 0.613536i \(-0.789747\pi\)
0.366208 + 0.930533i \(0.380656\pi\)
\(348\) 6.01365 + 2.24298i 0.322366 + 0.120236i
\(349\) 5.34908 18.2173i 0.286330 0.975149i −0.683212 0.730220i \(-0.739417\pi\)
0.969541 0.244928i \(-0.0787644\pi\)
\(350\) −9.79829 + 7.66463i −0.523741 + 0.409691i
\(351\) 11.7508 3.45034i 0.627210 0.184165i
\(352\) −2.97843 + 0.647919i −0.158751 + 0.0345342i
\(353\) −11.0680 29.6745i −0.589091 1.57941i −0.798765 0.601643i \(-0.794513\pi\)
0.209674 0.977771i \(-0.432760\pi\)
\(354\) −6.86077 5.94489i −0.364646 0.315967i
\(355\) 3.92668 16.0953i 0.208407 0.854252i
\(356\) −0.872940 + 0.125510i −0.0462657 + 0.00665201i
\(357\) 9.86220 13.1744i 0.521963 0.697261i
\(358\) 1.12183 5.15699i 0.0592907 0.272555i
\(359\) 21.2634 24.5393i 1.12224 1.29514i 0.171488 0.985186i \(-0.445143\pi\)
0.950753 0.309949i \(-0.100312\pi\)
\(360\) −1.27011 + 2.60607i −0.0669407 + 0.137352i
\(361\) 15.3483 + 9.86378i 0.807808 + 0.519146i
\(362\) −5.09675 + 9.33399i −0.267879 + 0.490584i
\(363\) −2.22504 0.159138i −0.116784 0.00835257i
\(364\) −5.21351 1.53083i −0.273262 0.0802371i
\(365\) 20.5780 8.78061i 1.07710 0.459598i
\(366\) −3.43256 0.493528i −0.179423 0.0257971i
\(367\) −3.53259 + 3.53259i −0.184399 + 0.184399i −0.793270 0.608870i \(-0.791623\pi\)
0.608870 + 0.793270i \(0.291623\pi\)
\(368\) −3.83313 + 2.88221i −0.199815 + 0.150246i
\(369\) 4.65305i 0.242228i
\(370\) −3.98962 5.61796i −0.207410 0.292064i
\(371\) −12.2780 26.8850i −0.637439 1.39580i
\(372\) −1.10686 2.02707i −0.0573881 0.105099i
\(373\) 1.07249 14.9954i 0.0555316 0.776433i −0.891037 0.453930i \(-0.850021\pi\)
0.946569 0.322502i \(-0.104524\pi\)
\(374\) 4.35204 + 14.8217i 0.225038 + 0.766411i
\(375\) 11.6478 + 8.78999i 0.601490 + 0.453913i
\(376\) −1.17319 + 2.56893i −0.0605028 + 0.132483i
\(377\) −10.7123 + 0.766162i −0.551714 + 0.0394594i
\(378\) 13.6331 + 2.96570i 0.701211 + 0.152539i
\(379\) 1.48550 + 10.3319i 0.0763050 + 0.530713i 0.991742 + 0.128251i \(0.0409363\pi\)
−0.915437 + 0.402462i \(0.868155\pi\)
\(380\) −8.44945 + 10.7159i −0.433448 + 0.549712i
\(381\) 3.91882 2.51847i 0.200767 0.129025i
\(382\) 0.283440 + 3.96301i 0.0145020 + 0.202765i
\(383\) −11.0848 + 4.13441i −0.566406 + 0.211259i −0.616321 0.787495i \(-0.711378\pi\)
0.0499150 + 0.998753i \(0.484105\pi\)
\(384\) −0.705631 + 1.09798i −0.0360091 + 0.0560312i
\(385\) −16.3854 + 4.36780i −0.835076 + 0.222603i
\(386\) 10.3092 + 11.8975i 0.524726 + 0.605566i
\(387\) 11.3783 6.21300i 0.578389 0.315824i
\(388\) 6.10316 16.3632i 0.309841 0.830716i
\(389\) −4.84163 + 33.6743i −0.245480 + 1.70735i 0.378241 + 0.925707i \(0.376529\pi\)
−0.623721 + 0.781647i \(0.714380\pi\)
\(390\) −0.159901 + 6.37171i −0.00809688 + 0.322644i
\(391\) 15.9554 + 18.3343i 0.806897 + 0.927208i
\(392\) 0.572671 + 0.572671i 0.0289243 + 0.0289243i
\(393\) −0.453302 0.605541i −0.0228661 0.0305455i
\(394\) 14.3175 6.53858i 0.721305 0.329409i
\(395\) 26.1861 13.4571i 1.31756 0.677101i
\(396\) −2.98665 + 2.58795i −0.150085 + 0.130049i
\(397\) 11.1906 + 6.11051i 0.561638 + 0.306678i 0.734875 0.678203i \(-0.237241\pi\)
−0.173237 + 0.984880i \(0.555423\pi\)
\(398\) −1.75940 8.08784i −0.0881908 0.405407i
\(399\) 18.0267 + 8.23251i 0.902463 + 0.412141i
\(400\) −3.60975 3.45972i −0.180488 0.172986i
\(401\) −18.0058 28.0176i −0.899169 1.39913i −0.916825 0.399290i \(-0.869257\pi\)
0.0176554 0.999844i \(-0.494380\pi\)
\(402\) 9.35584 + 7.00369i 0.466627 + 0.349312i
\(403\) 3.09376 + 2.31596i 0.154111 + 0.115366i
\(404\) −8.64276 13.4484i −0.429993 0.669083i
\(405\) −0.355002 7.66034i −0.0176402 0.380645i
\(406\) −11.1293 5.08259i −0.552339 0.252245i
\(407\) −1.99657 9.17807i −0.0989661 0.454940i
\(408\) 5.80540 + 3.16999i 0.287410 + 0.156938i
\(409\) −3.95942 + 3.43086i −0.195781 + 0.169645i −0.747234 0.664561i \(-0.768619\pi\)
0.551454 + 0.834205i \(0.314073\pi\)
\(410\) −7.64076 2.45336i −0.377350 0.121163i
\(411\) −15.2002 + 6.94168i −0.749768 + 0.342408i
\(412\) −3.69443 4.93518i −0.182011 0.243139i
\(413\) 12.2366 + 12.2366i 0.602124 + 0.602124i
\(414\) −2.57094 + 5.66148i −0.126355 + 0.278247i
\(415\) −28.0258 0.703317i −1.37573 0.0345245i
\(416\) 0.310806 2.16170i 0.0152385 0.105986i
\(417\) 6.21215 16.6554i 0.304210 0.815619i
\(418\) −16.3266 + 8.91499i −0.798560 + 0.436047i
\(419\) −1.32065 1.52411i −0.0645181 0.0744579i 0.722573 0.691295i \(-0.242959\pi\)
−0.787091 + 0.616837i \(0.788414\pi\)
\(420\) −3.63867 + 6.28362i −0.177549 + 0.306609i
\(421\) 8.51535 13.2501i 0.415013 0.645772i −0.569316 0.822119i \(-0.692792\pi\)
0.984328 + 0.176347i \(0.0564281\pi\)
\(422\) 15.3254 5.71606i 0.746027 0.278254i
\(423\) 0.261213 + 3.65223i 0.0127006 + 0.177577i
\(424\) 9.99358 6.42248i 0.485331 0.311903i
\(425\) −16.1838 + 19.4981i −0.785027 + 0.945795i
\(426\) −1.37622 9.57184i −0.0666782 0.463757i
\(427\) 6.45955 + 1.40519i 0.312599 + 0.0680018i
\(428\) 8.63011 0.617238i 0.417152 0.0298353i
\(429\) −3.60926 + 7.90318i −0.174257 + 0.381569i
\(430\) 4.20308 + 21.9601i 0.202691 + 1.05901i
\(431\) 3.79095 + 12.9108i 0.182603 + 0.621890i 0.999013 + 0.0444170i \(0.0141430\pi\)
−0.816410 + 0.577473i \(0.804039\pi\)
\(432\) −0.400049 + 5.59342i −0.0192474 + 0.269114i
\(433\) −4.97063 9.10303i −0.238873 0.437464i 0.730550 0.682860i \(-0.239264\pi\)
−0.969423 + 0.245396i \(0.921082\pi\)
\(434\) 1.82892 + 4.00478i 0.0877911 + 0.192236i
\(435\) −2.39822 + 14.1500i −0.114986 + 0.678442i
\(436\) 13.3164i 0.637739i
\(437\) −17.4898 + 23.4677i −0.836649 + 1.12261i
\(438\) 9.23408 9.23408i 0.441221 0.441221i
\(439\) −37.5961 5.40551i −1.79437 0.257991i −0.837069 0.547098i \(-0.815733\pi\)
−0.957297 + 0.289107i \(0.906642\pi\)
\(440\) −2.67493 6.26890i −0.127522 0.298858i
\(441\) 1.00749 + 0.295826i 0.0479757 + 0.0140869i
\(442\) −11.0397 0.789578i −0.525107 0.0375564i
\(443\) −16.1623 + 29.5990i −0.767892 + 1.40629i 0.141323 + 0.989964i \(0.454864\pi\)
−0.909215 + 0.416326i \(0.863318\pi\)
\(444\) −3.38344 2.17441i −0.160571 0.103193i
\(445\) −0.642582 1.86440i −0.0304613 0.0883809i
\(446\) −0.451535 + 0.521099i −0.0213808 + 0.0246748i
\(447\) −1.37085 + 6.30168i −0.0648388 + 0.298059i
\(448\) 1.49100 1.99174i 0.0704431 0.0941010i
\(449\) −34.6147 + 4.97684i −1.63357 + 0.234872i −0.897173 0.441680i \(-0.854383\pi\)
−0.736395 + 0.676551i \(0.763474\pi\)
\(450\) −6.25735 1.69397i −0.294974 0.0798545i
\(451\) −8.26732 7.16367i −0.389293 0.337324i
\(452\) 0.618684 + 1.65876i 0.0291004 + 0.0780213i
\(453\) −10.8160 + 2.35287i −0.508178 + 0.110547i
\(454\) 0.0456270 0.0133973i 0.00214138 0.000628766i
\(455\) 1.17053 12.0934i 0.0548752 0.566948i
\(456\) −2.24408 + 7.64262i −0.105088 + 0.357898i
\(457\) −30.7838 11.4818i −1.44001 0.537094i −0.496379 0.868106i \(-0.665337\pi\)
−0.943627 + 0.331012i \(0.892610\pi\)
\(458\) −22.8256 + 17.0870i −1.06657 + 0.798425i
\(459\) 28.4193 1.32650
\(460\) −7.94116 7.20680i −0.370259 0.336019i
\(461\) 34.0748 1.58702 0.793512 0.608555i \(-0.208250\pi\)
0.793512 + 0.608555i \(0.208250\pi\)
\(462\) −7.92374 + 5.93163i −0.368646 + 0.275965i
\(463\) −12.2705 4.57667i −0.570259 0.212696i 0.0477598 0.998859i \(-0.484792\pi\)
−0.618019 + 0.786163i \(0.712065\pi\)
\(464\) 1.38545 4.71841i 0.0643179 0.219046i
\(465\) 3.98659 3.28296i 0.184874 0.152244i
\(466\) −8.40253 + 2.46720i −0.389240 + 0.114291i
\(467\) −9.70739 + 2.11171i −0.449204 + 0.0977184i −0.431476 0.902124i \(-0.642007\pi\)
−0.0177284 + 0.999843i \(0.505643\pi\)
\(468\) −0.989511 2.65298i −0.0457402 0.122634i
\(469\) −16.8367 14.5891i −0.777448 0.673662i
\(470\) −6.13505 1.49673i −0.282989 0.0690390i
\(471\) 18.6647 2.68358i 0.860024 0.123653i
\(472\) −4.16826 + 5.56814i −0.191860 + 0.256294i
\(473\) −6.47861 + 29.7817i −0.297887 + 1.36936i
\(474\) 11.2536 12.9874i 0.516897 0.596531i
\(475\) −27.0859 14.0523i −1.24279 0.644766i
\(476\) −10.6073 6.81688i −0.486184 0.312451i
\(477\) 7.38132 13.5179i 0.337968 0.618941i
\(478\) 28.4841 + 2.03723i 1.30283 + 0.0931805i
\(479\) 4.10224 + 1.20453i 0.187436 + 0.0550362i 0.374103 0.927387i \(-0.377950\pi\)
−0.186667 + 0.982423i \(0.559769\pi\)
\(480\) −2.70800 1.08818i −0.123603 0.0496682i
\(481\) 6.66131 + 0.957751i 0.303729 + 0.0436697i
\(482\) −20.5796 + 20.5796i −0.937376 + 0.937376i
\(483\) −7.43436 + 13.6843i −0.338275 + 0.622657i
\(484\) 1.70914i 0.0776880i
\(485\) 38.5024 + 6.52558i 1.74830 + 0.296311i
\(486\) 5.12915 + 11.2313i 0.232663 + 0.509461i
\(487\) −3.71574 6.80487i −0.168376 0.308358i 0.779843 0.625975i \(-0.215299\pi\)
−0.948219 + 0.317618i \(0.897117\pi\)
\(488\) −0.189549 + 2.65024i −0.00858047 + 0.119971i
\(489\) −1.97651 6.73138i −0.0893810 0.304404i
\(490\) −1.01698 + 1.49842i −0.0459426 + 0.0676918i
\(491\) −13.1772 + 28.8541i −0.594680 + 1.30217i 0.337892 + 0.941185i \(0.390286\pi\)
−0.932572 + 0.360983i \(0.882441\pi\)
\(492\) −4.67218 + 0.334161i −0.210638 + 0.0150651i
\(493\) −24.3523 5.29753i −1.09677 0.238589i
\(494\) −1.89680 13.1925i −0.0853410 0.593559i
\(495\) −6.93909 5.47146i −0.311889 0.245924i
\(496\) −1.48864 + 0.956693i −0.0668420 + 0.0429568i
\(497\) 1.31507 + 18.3870i 0.0589887 + 0.824770i
\(498\) −15.3318 + 5.71848i −0.687036 + 0.256251i
\(499\) 13.0805 20.3536i 0.585563 0.911154i −0.414436 0.910078i \(-0.636021\pi\)
0.999999 0.00107571i \(-0.000342408\pi\)
\(500\) 6.08091 9.38203i 0.271946 0.419577i
\(501\) −11.2790 13.0166i −0.503907 0.581539i
\(502\) −14.2029 + 7.75539i −0.633908 + 0.346140i
\(503\) 3.52917 9.46207i 0.157358 0.421893i −0.834216 0.551438i \(-0.814079\pi\)
0.991573 + 0.129546i \(0.0413519\pi\)
\(504\) 0.459070 3.19290i 0.0204486 0.142223i
\(505\) 25.9025 24.6342i 1.15264 1.09621i
\(506\) −6.10093 13.2841i −0.271219 0.590552i
\(507\) 7.59586 + 7.59586i 0.337344 + 0.337344i
\(508\) −2.13889 2.85722i −0.0948978 0.126769i
\(509\) 21.2159 9.68898i 0.940378 0.429456i 0.114575 0.993415i \(-0.463449\pi\)
0.825803 + 0.563958i \(0.190722\pi\)
\(510\) −4.52166 + 14.0823i −0.200223 + 0.623576i
\(511\) −18.8134 + 16.3019i −0.832256 + 0.721154i
\(512\) 0.877679 + 0.479249i 0.0387883 + 0.0211800i
\(513\) 7.27461 + 33.4408i 0.321182 + 1.47645i
\(514\) 1.29354 + 0.590739i 0.0570555 + 0.0260564i
\(515\) 9.28572 10.1882i 0.409178 0.448946i
\(516\) 7.05568 + 10.9789i 0.310609 + 0.483317i
\(517\) −6.89126 5.15874i −0.303077 0.226881i
\(518\) 6.13757 + 4.59453i 0.269669 + 0.201872i
\(519\) −12.3897 19.2788i −0.543848 0.846245i
\(520\) 4.87819 0.226069i 0.213923 0.00991378i
\(521\) 40.1014 + 18.3137i 1.75688 + 0.802338i 0.986294 + 0.164996i \(0.0527611\pi\)
0.770581 + 0.637342i \(0.219966\pi\)
\(522\) −1.35527 6.23006i −0.0593184 0.272682i
\(523\) −5.81979 3.17785i −0.254482 0.138958i 0.346945 0.937885i \(-0.387219\pi\)
−0.601427 + 0.798928i \(0.705401\pi\)
\(524\) −0.437995 + 0.379525i −0.0191339 + 0.0165796i
\(525\) −15.3296 5.34996i −0.669039 0.233491i
\(526\) −21.0027 + 9.59163i −0.915763 + 0.418215i
\(527\) 5.37427 + 7.17918i 0.234107 + 0.312730i
\(528\) −2.81308 2.81308i −0.122423 0.122423i
\(529\) −17.4463 14.9876i −0.758535 0.651633i
\(530\) 18.3058 + 19.2483i 0.795155 + 0.836092i
\(531\) −1.28338 + 8.92610i −0.0556939 + 0.387360i
\(532\) 5.30620 14.2265i 0.230053 0.616796i
\(533\) 6.87913 3.75629i 0.297968 0.162703i
\(534\) −0.753781 0.869910i −0.0326193 0.0376447i
\(535\) 4.98321 + 18.6940i 0.215443 + 0.808213i
\(536\) 4.84104 7.53281i 0.209101 0.325368i
\(537\) 6.45388 2.40717i 0.278506 0.103877i
\(538\) 1.26164 + 17.6401i 0.0543933 + 0.760518i
\(539\) −2.07671 + 1.33462i −0.0894501 + 0.0574861i
\(540\) −12.4524 + 1.47258i −0.535868 + 0.0633697i
\(541\) −2.79130 19.4139i −0.120007 0.834670i −0.957544 0.288288i \(-0.906914\pi\)
0.837536 0.546382i \(-0.183995\pi\)
\(542\) 26.5545 + 5.77657i 1.14061 + 0.248125i
\(543\) −13.8450 + 0.990213i −0.594145 + 0.0424941i
\(544\) 2.10528 4.60992i 0.0902631 0.197649i
\(545\) 29.2455 5.59748i 1.25274 0.239770i
\(546\) −1.99800 6.80455i −0.0855063 0.291208i
\(547\) −0.144101 + 2.01479i −0.00616131 + 0.0861464i −0.999602 0.0281994i \(-0.991023\pi\)
0.993441 + 0.114346i \(0.0364772\pi\)
\(548\) 6.13585 + 11.2370i 0.262111 + 0.480020i
\(549\) 1.43105 + 3.13355i 0.0610756 + 0.133737i
\(550\) 12.6434 8.50980i 0.539115 0.362859i
\(551\) 30.0113i 1.27853i
\(552\) −5.86939 2.17493i −0.249818 0.0925711i
\(553\) −23.1638 + 23.1638i −0.985026 + 0.985026i
\(554\) 10.7759 + 1.54935i 0.457826 + 0.0658254i
\(555\) 3.35323 8.34473i 0.142336 0.354214i
\(556\) −13.0681 3.83714i −0.554211 0.162731i
\(557\) −43.1494 3.08610i −1.82830 0.130762i −0.885608 0.464433i \(-0.846258\pi\)
−0.942690 + 0.333670i \(0.891713\pi\)
\(558\) −1.09952 + 2.01362i −0.0465464 + 0.0852434i
\(559\) −18.3708 11.8062i −0.777001 0.499348i
\(560\) 5.00101 + 2.43732i 0.211331 + 0.102996i
\(561\) −13.2030 + 15.2371i −0.557432 + 0.643311i
\(562\) −1.97085 + 9.05983i −0.0831351 + 0.382166i
\(563\) −4.08124 + 5.45190i −0.172004 + 0.229770i −0.878257 0.478190i \(-0.841293\pi\)
0.706253 + 0.707960i \(0.250384\pi\)
\(564\) −3.64849 + 0.524573i −0.153629 + 0.0220885i
\(565\) −3.38290 + 2.05601i −0.142320 + 0.0864968i
\(566\) 11.4715 + 9.94014i 0.482184 + 0.417815i
\(567\) 2.98182 + 7.99456i 0.125225 + 0.335740i
\(568\) −7.23985 + 1.57493i −0.303777 + 0.0660827i
\(569\) −3.78252 + 1.11065i −0.158571 + 0.0465608i −0.360055 0.932931i \(-0.617242\pi\)
0.201483 + 0.979492i \(0.435424\pi\)
\(570\) −17.7280 1.71591i −0.742546 0.0718714i
\(571\) −3.50406 + 11.9337i −0.146640 + 0.499411i −0.999751 0.0223193i \(-0.992895\pi\)
0.853111 + 0.521730i \(0.174713\pi\)
\(572\) 6.23711 + 2.32632i 0.260787 + 0.0972684i
\(573\) −4.15131 + 3.10763i −0.173423 + 0.129823i
\(574\) 8.92911 0.372694
\(575\) 12.4896 20.4698i 0.520851 0.853648i
\(576\) 1.29652 0.0540216
\(577\) 1.75196 1.31150i 0.0729350 0.0545984i −0.562188 0.827009i \(-0.690040\pi\)
0.635123 + 0.772411i \(0.280949\pi\)
\(578\) −8.13605 3.03459i −0.338415 0.126222i
\(579\) −5.78873 + 19.7146i −0.240571 + 0.819311i
\(580\) 10.9449 + 1.05937i 0.454464 + 0.0439878i
\(581\) 29.9296 8.78811i 1.24169 0.364592i
\(582\) 22.2731 4.84522i 0.923250 0.200841i
\(583\) 12.6539 + 33.9265i 0.524072 + 1.40509i
\(584\) −7.56167 6.55223i −0.312904 0.271133i
\(585\) 5.41055 3.28834i 0.223699 0.135956i
\(586\) 20.0078 2.87669i 0.826514 0.118835i
\(587\) 20.9594 27.9985i 0.865087 1.15562i −0.121533 0.992587i \(-0.538781\pi\)
0.986621 0.163034i \(-0.0521279\pi\)
\(588\) −0.224689 + 1.03288i −0.00926601 + 0.0425952i
\(589\) −7.07203 + 8.16156i −0.291398 + 0.336291i
\(590\) −13.9809 6.81380i −0.575583 0.280520i
\(591\) 17.2821 + 11.1065i 0.710892 + 0.456862i
\(592\) −1.47681 + 2.70458i −0.0606965 + 0.111157i
\(593\) −1.08568 0.0776497i −0.0445837 0.00318869i 0.0490295 0.998797i \(-0.484387\pi\)
−0.0936132 + 0.995609i \(0.529842\pi\)
\(594\) −16.4004 4.81560i −0.672918 0.197586i
\(595\) 10.5125 26.1612i 0.430972 1.07250i
\(596\) 4.89085 + 0.703198i 0.200337 + 0.0288041i
\(597\) 7.63882 7.63882i 0.312636 0.312636i
\(598\) 10.4455 0.769459i 0.427147 0.0314655i
\(599\) 33.7924i 1.38072i 0.723467 + 0.690359i \(0.242548\pi\)
−0.723467 + 0.690359i \(0.757452\pi\)
\(600\) 1.25156 6.40474i 0.0510947 0.261472i
\(601\) 3.37331 + 7.38653i 0.137600 + 0.301303i 0.965870 0.259027i \(-0.0834018\pi\)
−0.828270 + 0.560329i \(0.810675\pi\)
\(602\) −11.9226 21.8347i −0.485930 0.889915i
\(603\) 0.828203 11.5798i 0.0337271 0.471566i
\(604\) 2.38932 + 8.13726i 0.0972199 + 0.331101i
\(605\) −3.75361 + 0.718428i −0.152606 + 0.0292083i
\(606\) 8.66751 18.9792i 0.352094 0.770977i
\(607\) 6.42986 0.459873i 0.260980 0.0186657i 0.0597640 0.998213i \(-0.480965\pi\)
0.201216 + 0.979547i \(0.435511\pi\)
\(608\) 5.96337 + 1.29725i 0.241846 + 0.0526105i
\(609\) −2.27259 15.8062i −0.0920902 0.640501i
\(610\) −5.90014 + 0.697728i −0.238890 + 0.0282502i
\(611\) 5.18864 3.33453i 0.209910 0.134901i
\(612\) −0.468743 6.55388i −0.0189478 0.264925i
\(613\) 13.8353 5.16030i 0.558802 0.208422i −0.0541633 0.998532i \(-0.517249\pi\)
0.612966 + 0.790110i \(0.289976\pi\)
\(614\) −12.2484 + 19.0589i −0.494306 + 0.769156i
\(615\) −2.69781 10.1206i −0.108786 0.408102i
\(616\) 4.96623 + 5.73133i 0.200095 + 0.230922i
\(617\) 1.20351 0.657165i 0.0484514 0.0264565i −0.454841 0.890573i \(-0.650304\pi\)
0.503292 + 0.864116i \(0.332122\pi\)
\(618\) 2.81184 7.53883i 0.113109 0.303256i
\(619\) 2.00344 13.9342i 0.0805249 0.560063i −0.909121 0.416532i \(-0.863245\pi\)
0.989646 0.143531i \(-0.0458456\pi\)
\(620\) −2.72684 2.86722i −0.109512 0.115150i
\(621\) −26.6117 + 3.88410i −1.06789 + 0.155864i
\(622\) −2.65293 2.65293i −0.106373 0.106373i
\(623\) 1.31494 + 1.75655i 0.0526819 + 0.0703748i
\(624\) 2.59283 1.18410i 0.103796 0.0474021i
\(625\) 23.1609 + 9.41121i 0.926438 + 0.376449i
\(626\) −9.41770 + 8.16048i −0.376407 + 0.326158i
\(627\) −21.3091 11.6356i −0.851002 0.464682i
\(628\) −3.07106 14.1174i −0.122548 0.563346i
\(629\) 14.2055 + 6.48744i 0.566410 + 0.258671i
\(630\) 7.20522 0.333911i 0.287063 0.0133033i
\(631\) 21.3186 + 33.1724i 0.848682 + 1.32057i 0.945617 + 0.325284i \(0.105460\pi\)
−0.0969349 + 0.995291i \(0.530904\pi\)
\(632\) −10.5405 7.89048i −0.419277 0.313867i
\(633\) 17.0902 + 12.7935i 0.679274 + 0.508498i
\(634\) −7.54785 11.7447i −0.299763 0.466441i
\(635\) 5.37596 5.89845i 0.213339 0.234073i
\(636\) 14.1036 + 6.44088i 0.559242 + 0.255397i
\(637\) −0.375969 1.72830i −0.0148964 0.0684778i
\(638\) 13.1558 + 7.18361i 0.520843 + 0.284402i
\(639\) −7.25983 + 6.29068i −0.287194 + 0.248855i
\(640\) −0.683600 + 2.12901i −0.0270217 + 0.0841566i
\(641\) 9.63402 4.39971i 0.380521 0.173778i −0.215966 0.976401i \(-0.569290\pi\)
0.596487 + 0.802623i \(0.296563\pi\)
\(642\) 6.76739 + 9.04017i 0.267087 + 0.356787i
\(643\) 13.5230 + 13.5230i 0.533297 + 0.533297i 0.921552 0.388255i \(-0.126922\pi\)
−0.388255 + 0.921552i \(0.626922\pi\)
\(644\) 10.8643 + 4.93359i 0.428112 + 0.194411i
\(645\) −21.1460 + 20.1106i −0.832622 + 0.791855i
\(646\) 4.40159 30.6137i 0.173178 1.20448i
\(647\) −12.9416 + 34.6979i −0.508789 + 1.36412i 0.388001 + 0.921659i \(0.373166\pi\)
−0.896790 + 0.442456i \(0.854107\pi\)
\(648\) −3.00999 + 1.64358i −0.118243 + 0.0645658i
\(649\) −13.8836 16.0226i −0.544980 0.628941i
\(650\) 2.54702 + 10.6185i 0.0999022 + 0.416490i
\(651\) −3.10664 + 4.83402i −0.121759 + 0.189460i
\(652\) −5.03628 + 1.87844i −0.197236 + 0.0735652i
\(653\) −0.569572 7.96366i −0.0222891 0.311642i −0.996350 0.0853577i \(-0.972797\pi\)
0.974061 0.226284i \(-0.0726579\pi\)
\(654\) 14.6212 9.39645i 0.571732 0.367430i
\(655\) −1.01762 0.802394i −0.0397618 0.0313521i
\(656\) 0.510751 + 3.55235i 0.0199415 + 0.138696i
\(657\) −12.6759 2.75747i −0.494534 0.107579i
\(658\) 7.00856 0.501262i 0.273222 0.0195412i
\(659\) 19.4908 42.6788i 0.759252 1.66253i 0.0102639 0.999947i \(-0.496733\pi\)
0.748988 0.662583i \(-0.230540\pi\)
\(660\) 4.99563 7.36056i 0.194454 0.286509i
\(661\) 3.95730 + 13.4773i 0.153921 + 0.524207i 0.999960 0.00891366i \(-0.00283734\pi\)
−0.846039 + 0.533121i \(0.821019\pi\)
\(662\) −0.216380 + 3.02538i −0.00840984 + 0.117585i
\(663\) −6.92304 12.6786i −0.268868 0.492396i
\(664\) 5.20824 + 11.4045i 0.202119 + 0.442579i
\(665\) 33.4747 + 5.67347i 1.29809 + 0.220008i
\(666\) 3.99523i 0.154812i
\(667\) 23.5274 + 1.63231i 0.910986 + 0.0632034i
\(668\) −9.33118 + 9.33118i −0.361034 + 0.361034i
\(669\) −0.890776 0.128074i −0.0344394 0.00495163i
\(670\) 18.5785 + 7.46553i 0.717750 + 0.288419i
\(671\) −7.77074 2.28170i −0.299986 0.0880839i
\(672\) 3.23900 + 0.231658i 0.124947 + 0.00893638i
\(673\) 18.6660 34.1843i 0.719523 1.31771i −0.220093 0.975479i \(-0.570636\pi\)
0.939616 0.342230i \(-0.111182\pi\)
\(674\) −11.0258 7.08588i −0.424700 0.272938i
\(675\) −8.46841 26.7291i −0.325949 1.02880i
\(676\) 5.38979 6.22015i 0.207300 0.239237i
\(677\) −1.24625 + 5.72894i −0.0478975 + 0.220181i −0.994874 0.101121i \(-0.967757\pi\)
0.946977 + 0.321302i \(0.104121\pi\)
\(678\) −1.38472 + 1.84977i −0.0531800 + 0.0710401i
\(679\) −43.0089 + 6.18375i −1.65053 + 0.237311i
\(680\) 11.0093 + 2.68586i 0.422186 + 0.102998i
\(681\) 0.0469058 + 0.0406441i 0.00179743 + 0.00155748i
\(682\) −1.88493 5.05368i −0.0721776 0.193516i
\(683\) 19.2856 4.19531i 0.737941 0.160529i 0.172142 0.985072i \(-0.444931\pi\)
0.565799 + 0.824543i \(0.308568\pi\)
\(684\) 7.59193 2.22919i 0.290285 0.0852353i
\(685\) −22.0995 + 18.1990i −0.844379 + 0.695348i
\(686\) 5.47433 18.6439i 0.209011 0.711826i
\(687\) −34.8677 13.0050i −1.33029 0.496171i
\(688\) 8.00470 5.99224i 0.305176 0.228452i
\(689\) −25.9438 −0.988379
\(690\) 2.30941 13.8046i 0.0879178 0.525532i
\(691\) 38.8273 1.47706 0.738529 0.674221i \(-0.235521\pi\)
0.738529 + 0.674221i \(0.235521\pi\)
\(692\) −14.0562 + 10.5223i −0.534336 + 0.399999i
\(693\) 9.21240 + 3.43605i 0.349950 + 0.130525i
\(694\) −2.77606 + 9.45440i −0.105378 + 0.358884i
\(695\) 2.93402 30.3131i 0.111294 1.14984i
\(696\) 6.15834 1.80825i 0.233431 0.0685417i
\(697\) 17.7724 3.86615i 0.673178 0.146441i
\(698\) −6.63505 17.7893i −0.251140 0.673334i
\(699\) −8.63803 7.48490i −0.326720 0.283105i
\(700\) −3.25070 + 12.0077i −0.122865 + 0.453850i
\(701\) −5.17559 + 0.744137i −0.195479 + 0.0281057i −0.239359 0.970931i \(-0.576937\pi\)
0.0438797 + 0.999037i \(0.486028\pi\)
\(702\) 7.33927 9.80411i 0.277003 0.370032i
\(703\) −3.99749 + 18.3762i −0.150768 + 0.693070i
\(704\) −1.99608 + 2.30359i −0.0752299 + 0.0868200i
\(705\) −2.68569 7.79232i −0.101149 0.293476i
\(706\) −26.6437 17.1229i −1.00275 0.644427i
\(707\) −19.0614 + 34.9083i −0.716877 + 1.31286i
\(708\) −9.05497 0.647624i −0.340307 0.0243392i
\(709\) 35.7470 + 10.4963i 1.34251 + 0.394196i 0.872564 0.488500i \(-0.162456\pi\)
0.469944 + 0.882696i \(0.344274\pi\)
\(710\) −6.50211 15.2382i −0.244020 0.571878i
\(711\) −16.8971 2.42943i −0.633689 0.0911108i
\(712\) −0.623609 + 0.623609i −0.0233708 + 0.0233708i
\(713\) −6.01363 5.98804i −0.225212 0.224254i
\(714\) 16.4568i 0.615881i
\(715\) −2.48733 + 14.6758i −0.0930211 + 0.548845i
\(716\) −2.19239 4.80067i −0.0819336 0.179409i
\(717\) 17.8624 + 32.7126i 0.667085 + 1.22168i
\(718\) 2.31639 32.3874i 0.0864471 1.20869i
\(719\) 4.20882 + 14.3339i 0.156963 + 0.534565i 0.999995 0.00329804i \(-0.00104980\pi\)
−0.843032 + 0.537863i \(0.819232\pi\)
\(720\) 0.544986 + 2.84742i 0.0203104 + 0.106117i
\(721\) −6.37164 + 13.9519i −0.237292 + 0.519597i
\(722\) 18.1981 1.30156i 0.677264 0.0484389i
\(723\) −37.1177 8.07446i −1.38042 0.300292i
\(724\) 1.51350 + 10.5266i 0.0562487 + 0.391218i
\(725\) 2.27407 + 24.4826i 0.0844570 + 0.909262i
\(726\) −1.87660 + 1.20602i −0.0696473 + 0.0447596i
\(727\) −0.141825 1.98297i −0.00525999 0.0735443i 0.994144 0.108063i \(-0.0344648\pi\)
−0.999404 + 0.0345185i \(0.989010\pi\)
\(728\) −5.09102 + 1.89885i −0.188686 + 0.0703762i
\(729\) −14.2748 + 22.2120i −0.528697 + 0.822668i
\(730\) 11.2115 19.3612i 0.414957 0.716589i
\(731\) −33.1847 38.2972i −1.22738 1.41647i
\(732\) −3.04367 + 1.66197i −0.112497 + 0.0614281i
\(733\) −14.4596 + 38.7678i −0.534079 + 1.43192i 0.337341 + 0.941383i \(0.390473\pi\)
−0.871420 + 0.490538i \(0.836800\pi\)
\(734\) −0.710981 + 4.94498i −0.0262428 + 0.182523i
\(735\) −2.36286 0.0592968i −0.0871553 0.00218720i
\(736\) −1.34133 + 4.60444i −0.0494421 + 0.169722i
\(737\) 19.2994 + 19.2994i 0.710902 + 0.710902i
\(738\) 2.78847 + 3.72496i 0.102645 + 0.137118i
\(739\) −17.8158 + 8.13620i −0.655364 + 0.299295i −0.715207 0.698913i \(-0.753667\pi\)
0.0598423 + 0.998208i \(0.480940\pi\)
\(740\) −6.56057 2.10652i −0.241171 0.0774372i
\(741\) 13.1467 11.3917i 0.482957 0.418485i
\(742\) −25.9406 14.1646i −0.952308 0.520000i
\(743\) −2.98156 13.7060i −0.109383 0.502825i −0.998941 0.0460033i \(-0.985352\pi\)
0.889559 0.456821i \(-0.151012\pi\)
\(744\) −2.10086 0.959433i −0.0770214 0.0351745i
\(745\) 0.511481 + 11.0369i 0.0187392 + 0.404361i
\(746\) −8.12784 12.6472i −0.297581 0.463045i
\(747\) 13.0128 + 9.74128i 0.476114 + 0.356415i
\(748\) 12.3663 + 9.25728i 0.452156 + 0.338480i
\(749\) −11.6381 18.1093i −0.425247 0.661698i
\(750\) 14.5922 + 0.0564796i 0.532831 + 0.00206234i
\(751\) −1.04482 0.477154i −0.0381261 0.0174116i 0.396261 0.918138i \(-0.370308\pi\)
−0.434387 + 0.900726i \(0.643035\pi\)
\(752\) 0.600315 + 2.75961i 0.0218913 + 0.100632i
\(753\) −18.5373 10.1221i −0.675537 0.368871i
\(754\) −8.11653 + 7.03302i −0.295587 + 0.256127i
\(755\) −16.8667 + 8.66789i −0.613844 + 0.315457i
\(756\) 12.6911 5.79585i 0.461572 0.210793i
\(757\) −19.4902 26.0359i −0.708385 0.946291i 0.291563 0.956552i \(-0.405825\pi\)
−0.999947 + 0.0102604i \(0.996734\pi\)
\(758\) 7.38087 + 7.38087i 0.268085 + 0.268085i
\(759\) 10.2808 16.0724i 0.373168 0.583392i
\(760\) −0.342353 + 13.6421i −0.0124184 + 0.494850i
\(761\) −4.41903 + 30.7350i −0.160190 + 1.11414i 0.738085 + 0.674708i \(0.235730\pi\)
−0.898274 + 0.439435i \(0.855179\pi\)
\(762\) 1.62791 4.36460i 0.0589730 0.158113i
\(763\) −29.0785 + 15.8780i −1.05271 + 0.574824i
\(764\) 2.60185 + 3.00269i 0.0941315 + 0.108634i
\(765\) 14.1966 3.78435i 0.513280 0.136823i
\(766\) −6.39617 + 9.95263i −0.231103 + 0.359603i
\(767\) 14.2325 5.30845i 0.513906 0.191677i
\(768\) 0.0931101 + 1.30185i 0.00335982 + 0.0469764i
\(769\) 34.5590 22.2097i 1.24623 0.800904i 0.259893 0.965637i \(-0.416313\pi\)
0.986338 + 0.164733i \(0.0526764\pi\)
\(770\) −10.4996 + 13.3160i −0.378381 + 0.479875i
\(771\) 0.264139 + 1.83713i 0.00951273 + 0.0661625i