Properties

Label 637.2.bl.a.235.2
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.2
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.a.534.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.41077 - 0.363365i) q^{2} +(1.79194 - 1.22173i) q^{3} +(3.76861 + 1.16246i) q^{4} +(-0.0804062 - 1.07295i) q^{5} +(-4.76388 + 2.29417i) q^{6} +(1.16594 + 2.37499i) q^{7} +(-4.26973 - 2.05619i) q^{8} +(0.622420 - 1.58590i) q^{9} +O(q^{10})\) \(q+(-2.41077 - 0.363365i) q^{2} +(1.79194 - 1.22173i) q^{3} +(3.76861 + 1.16246i) q^{4} +(-0.0804062 - 1.07295i) q^{5} +(-4.76388 + 2.29417i) q^{6} +(1.16594 + 2.37499i) q^{7} +(-4.26973 - 2.05619i) q^{8} +(0.622420 - 1.58590i) q^{9} +(-0.196030 + 2.61584i) q^{10} +(0.766274 + 1.95243i) q^{11} +(8.17335 - 2.52114i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-1.94783 - 6.14921i) q^{14} +(-1.45493 - 1.82442i) q^{15} +(3.02909 + 2.06520i) q^{16} +(3.11792 + 2.89301i) q^{17} +(-2.07677 + 3.59707i) q^{18} +(3.33509 + 5.77654i) q^{19} +(0.944241 - 4.13699i) q^{20} +(4.99089 + 2.83138i) q^{21} +(-1.13786 - 4.98530i) q^{22} +(-0.214243 + 0.198789i) q^{23} +(-10.1632 + 1.53186i) q^{24} +(3.79941 - 0.572668i) q^{25} +(1.78718 - 1.65826i) q^{26} +(0.625613 + 2.74099i) q^{27} +(1.63315 + 10.3058i) q^{28} +(2.01188 - 8.81461i) q^{29} +(2.84456 + 4.92693i) q^{30} +(-4.57036 + 7.91610i) q^{31} +(0.395924 + 0.367364i) q^{32} +(3.75846 + 2.56247i) q^{33} +(-6.46537 - 8.10732i) q^{34} +(2.45449 - 1.44196i) q^{35} +(4.18921 - 5.25310i) q^{36} +(-3.01513 + 0.930045i) q^{37} +(-5.94112 - 15.1377i) q^{38} +(-0.162074 + 2.16273i) q^{39} +(-1.86287 + 4.74652i) q^{40} +(-5.95053 - 2.86562i) q^{41} +(-11.0030 - 8.63931i) q^{42} +(-1.53188 + 0.737715i) q^{43} +(0.618157 + 8.24873i) q^{44} +(-1.75163 - 0.540307i) q^{45} +(0.588724 - 0.401385i) q^{46} +(1.89473 + 0.285584i) q^{47} +7.95106 q^{48} +(-4.28116 + 5.53820i) q^{49} -9.36757 q^{50} +(9.12160 + 1.37486i) q^{51} +(-3.25854 + 2.22164i) q^{52} +(-7.75258 - 2.39135i) q^{53} +(-0.512228 - 6.83521i) q^{54} +(2.03324 - 0.979158i) q^{55} +(-0.0948188 - 12.5380i) q^{56} +(13.0336 + 6.27666i) q^{57} +(-8.05308 + 20.5189i) q^{58} +(0.368274 - 4.91427i) q^{59} +(-3.36224 - 8.56685i) q^{60} +(14.4471 - 4.45635i) q^{61} +(13.8945 - 17.4232i) q^{62} +(4.49220 - 0.370827i) q^{63} +(-5.39257 - 6.76207i) q^{64} +(0.888996 + 0.606107i) q^{65} +(-8.12965 - 7.54321i) q^{66} +(3.46171 - 5.99585i) q^{67} +(8.38723 + 14.5271i) q^{68} +(-0.141046 + 0.617965i) q^{69} +(-6.44115 + 2.58435i) q^{70} +(-0.297625 - 1.30398i) q^{71} +(-5.91848 + 5.49155i) q^{72} +(9.67117 - 1.45769i) q^{73} +(7.60672 - 1.14653i) q^{74} +(6.10867 - 5.66802i) q^{75} +(5.85364 + 25.6465i) q^{76} +(-3.74358 + 4.09632i) q^{77} +(1.17658 - 5.15494i) q^{78} +(0.363100 + 0.628908i) q^{79} +(1.97229 - 3.41611i) q^{80} +(8.21643 + 7.62373i) q^{81} +(13.3041 + 9.07056i) q^{82} +(0.0925106 + 0.116005i) q^{83} +(15.5173 + 16.4721i) q^{84} +(2.85334 - 3.57798i) q^{85} +(3.96107 - 1.22183i) q^{86} +(-7.16386 - 18.2532i) q^{87} +(0.742800 - 9.91197i) q^{88} +(2.32132 - 5.91462i) q^{89} +(4.02645 + 1.93903i) q^{90} +(-2.58380 - 0.569212i) q^{91} +(-1.03849 + 0.500108i) q^{92} +(1.48148 + 19.7689i) q^{93} +(-4.46398 - 1.37695i) q^{94} +(5.92975 - 4.04284i) q^{95} +(1.15829 + 0.174584i) q^{96} -6.91568 q^{97} +(12.3333 - 11.7957i) q^{98} +3.57331 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} + O(q^{10}) \) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} - 5 q^{10} - 18 q^{11} - 40 q^{12} + 54 q^{13} - 15 q^{14} + 6 q^{15} + 29 q^{16} - 6 q^{17} + 49 q^{18} - 24 q^{19} + 11 q^{20} - 6 q^{22} - 42 q^{23} + 20 q^{24} + 14 q^{25} + 3 q^{26} - 33 q^{27} + 7 q^{28} - 22 q^{29} + 57 q^{30} - 31 q^{31} - 139 q^{32} + 6 q^{33} + 50 q^{34} + 42 q^{35} - 78 q^{36} - 4 q^{37} - 90 q^{38} + 40 q^{40} + 8 q^{41} + 20 q^{42} + 34 q^{43} - 256 q^{44} + 19 q^{45} + 85 q^{46} + 34 q^{47} - 10 q^{48} + 51 q^{49} - 54 q^{50} + 74 q^{51} - 25 q^{52} + 10 q^{53} + 111 q^{54} - 10 q^{55} - 196 q^{56} - 5 q^{57} - 21 q^{58} + 65 q^{59} + 87 q^{60} + 3 q^{61} - 54 q^{62} - 35 q^{63} - 28 q^{64} - q^{65} - 110 q^{66} + 135 q^{67} - 158 q^{68} + 42 q^{69} + 44 q^{70} + 9 q^{71} - 133 q^{72} + 31 q^{73} - 97 q^{74} - 315 q^{75} - 177 q^{76} + 6 q^{77} - 25 q^{78} + 43 q^{79} - 20 q^{80} - 259 q^{81} + 96 q^{82} + 59 q^{83} + 285 q^{84} + 6 q^{85} + 95 q^{86} - 206 q^{87} + 228 q^{88} + 43 q^{89} - 61 q^{90} - 7 q^{91} + 53 q^{92} - 10 q^{93} - 36 q^{94} - 17 q^{95} + 277 q^{96} + 66 q^{97} + 260 q^{98} - 206 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.41077 0.363365i −1.70467 0.256938i −0.776774 0.629779i \(-0.783145\pi\)
−0.927895 + 0.372842i \(0.878383\pi\)
\(3\) 1.79194 1.22173i 1.03458 0.705363i 0.0780339 0.996951i \(-0.475136\pi\)
0.956544 + 0.291587i \(0.0941834\pi\)
\(4\) 3.76861 + 1.16246i 1.88431 + 0.581232i
\(5\) −0.0804062 1.07295i −0.0359588 0.479836i −0.985892 0.167383i \(-0.946468\pi\)
0.949933 0.312453i \(-0.101151\pi\)
\(6\) −4.76388 + 2.29417i −1.94485 + 0.936589i
\(7\) 1.16594 + 2.37499i 0.440685 + 0.897662i
\(8\) −4.26973 2.05619i −1.50958 0.726974i
\(9\) 0.622420 1.58590i 0.207473 0.528633i
\(10\) −0.196030 + 2.61584i −0.0619902 + 0.827201i
\(11\) 0.766274 + 1.95243i 0.231040 + 0.588681i 0.998634 0.0522561i \(-0.0166412\pi\)
−0.767593 + 0.640937i \(0.778546\pi\)
\(12\) 8.17335 2.52114i 2.35944 0.727792i
\(13\) −0.623490 + 0.781831i −0.172925 + 0.216841i
\(14\) −1.94783 6.14921i −0.520579 1.64345i
\(15\) −1.45493 1.82442i −0.375661 0.471064i
\(16\) 3.02909 + 2.06520i 0.757272 + 0.516300i
\(17\) 3.11792 + 2.89301i 0.756208 + 0.701658i 0.960816 0.277186i \(-0.0894017\pi\)
−0.204609 + 0.978844i \(0.565592\pi\)
\(18\) −2.07677 + 3.59707i −0.489499 + 0.847837i
\(19\) 3.33509 + 5.77654i 0.765121 + 1.32523i 0.940182 + 0.340671i \(0.110654\pi\)
−0.175061 + 0.984558i \(0.556012\pi\)
\(20\) 0.944241 4.13699i 0.211139 0.925059i
\(21\) 4.99089 + 2.83138i 1.08910 + 0.617858i
\(22\) −1.13786 4.98530i −0.242593 1.06287i
\(23\) −0.214243 + 0.198789i −0.0446728 + 0.0414503i −0.702193 0.711986i \(-0.747796\pi\)
0.657520 + 0.753437i \(0.271605\pi\)
\(24\) −10.1632 + 1.53186i −2.07456 + 0.312689i
\(25\) 3.79941 0.572668i 0.759881 0.114534i
\(26\) 1.78718 1.65826i 0.350494 0.325211i
\(27\) 0.625613 + 2.74099i 0.120399 + 0.527503i
\(28\) 1.63315 + 10.3058i 0.308636 + 1.94761i
\(29\) 2.01188 8.81461i 0.373596 1.63683i −0.342995 0.939337i \(-0.611441\pi\)
0.716591 0.697494i \(-0.245702\pi\)
\(30\) 2.84456 + 4.92693i 0.519344 + 0.899530i
\(31\) −4.57036 + 7.91610i −0.820861 + 1.42177i 0.0841803 + 0.996451i \(0.473173\pi\)
−0.905042 + 0.425323i \(0.860161\pi\)
\(32\) 0.395924 + 0.367364i 0.0699901 + 0.0649413i
\(33\) 3.75846 + 2.56247i 0.654263 + 0.446069i
\(34\) −6.46537 8.10732i −1.10880 1.39039i
\(35\) 2.45449 1.44196i 0.414884 0.243735i
\(36\) 4.18921 5.25310i 0.698202 0.875517i
\(37\) −3.01513 + 0.930045i −0.495684 + 0.152898i −0.532511 0.846423i \(-0.678751\pi\)
0.0368262 + 0.999322i \(0.488275\pi\)
\(38\) −5.94112 15.1377i −0.963777 2.45566i
\(39\) −0.162074 + 2.16273i −0.0259526 + 0.346314i
\(40\) −1.86287 + 4.74652i −0.294546 + 0.750491i
\(41\) −5.95053 2.86562i −0.929316 0.447535i −0.0929280 0.995673i \(-0.529623\pi\)
−0.836388 + 0.548138i \(0.815337\pi\)
\(42\) −11.0030 8.63931i −1.69781 1.33308i
\(43\) −1.53188 + 0.737715i −0.233610 + 0.112501i −0.547027 0.837115i \(-0.684240\pi\)
0.313417 + 0.949616i \(0.398526\pi\)
\(44\) 0.618157 + 8.24873i 0.0931907 + 1.24354i
\(45\) −1.75163 0.540307i −0.261118 0.0805442i
\(46\) 0.588724 0.401385i 0.0868025 0.0591810i
\(47\) 1.89473 + 0.285584i 0.276375 + 0.0416568i 0.285767 0.958299i \(-0.407752\pi\)
−0.00939243 + 0.999956i \(0.502990\pi\)
\(48\) 7.95106 1.14764
\(49\) −4.28116 + 5.53820i −0.611594 + 0.791172i
\(50\) −9.36757 −1.32477
\(51\) 9.12160 + 1.37486i 1.27728 + 0.192519i
\(52\) −3.25854 + 2.22164i −0.451879 + 0.308086i
\(53\) −7.75258 2.39135i −1.06490 0.328478i −0.287692 0.957723i \(-0.592888\pi\)
−0.777207 + 0.629245i \(0.783364\pi\)
\(54\) −0.512228 6.83521i −0.0697054 0.930154i
\(55\) 2.03324 0.979158i 0.274163 0.132030i
\(56\) −0.0948188 12.5380i −0.0126707 1.67546i
\(57\) 13.0336 + 6.27666i 1.72635 + 0.831364i
\(58\) −8.05308 + 20.5189i −1.05742 + 2.69427i
\(59\) 0.368274 4.91427i 0.0479452 0.639784i −0.920530 0.390673i \(-0.872242\pi\)
0.968475 0.249111i \(-0.0801385\pi\)
\(60\) −3.36224 8.56685i −0.434063 1.10598i
\(61\) 14.4471 4.45635i 1.84976 0.570577i 0.850780 0.525521i \(-0.176130\pi\)
0.998984 0.0450555i \(-0.0143465\pi\)
\(62\) 13.8945 17.4232i 1.76460 2.21274i
\(63\) 4.49220 0.370827i 0.565964 0.0467198i
\(64\) −5.39257 6.76207i −0.674071 0.845258i
\(65\) 0.888996 + 0.606107i 0.110266 + 0.0751783i
\(66\) −8.12965 7.54321i −1.00069 0.928505i
\(67\) 3.46171 5.99585i 0.422915 0.732510i −0.573308 0.819340i \(-0.694340\pi\)
0.996223 + 0.0868296i \(0.0276736\pi\)
\(68\) 8.38723 + 14.5271i 1.01710 + 1.76167i
\(69\) −0.141046 + 0.617965i −0.0169800 + 0.0743942i
\(70\) −6.44115 + 2.58435i −0.769865 + 0.308889i
\(71\) −0.297625 1.30398i −0.0353216 0.154754i 0.954192 0.299196i \(-0.0967184\pi\)
−0.989513 + 0.144442i \(0.953861\pi\)
\(72\) −5.91848 + 5.49155i −0.697500 + 0.647185i
\(73\) 9.67117 1.45769i 1.13192 0.170610i 0.443747 0.896152i \(-0.353649\pi\)
0.688178 + 0.725542i \(0.258411\pi\)
\(74\) 7.60672 1.14653i 0.884263 0.133281i
\(75\) 6.10867 5.66802i 0.705368 0.654486i
\(76\) 5.85364 + 25.6465i 0.671458 + 2.94185i
\(77\) −3.74358 + 4.09632i −0.426621 + 0.466819i
\(78\) 1.17658 5.15494i 0.133222 0.583682i
\(79\) 0.363100 + 0.628908i 0.0408520 + 0.0707577i 0.885728 0.464204i \(-0.153659\pi\)
−0.844876 + 0.534961i \(0.820326\pi\)
\(80\) 1.97229 3.41611i 0.220509 0.381932i
\(81\) 8.21643 + 7.62373i 0.912936 + 0.847081i
\(82\) 13.3041 + 9.07056i 1.46919 + 1.00168i
\(83\) 0.0925106 + 0.116005i 0.0101544 + 0.0127332i 0.786883 0.617103i \(-0.211694\pi\)
−0.776728 + 0.629836i \(0.783122\pi\)
\(84\) 15.5173 + 16.4721i 1.69308 + 1.79725i
\(85\) 2.85334 3.57798i 0.309489 0.388087i
\(86\) 3.96107 1.22183i 0.427133 0.131753i
\(87\) −7.16386 18.2532i −0.768047 1.95695i
\(88\) 0.742800 9.91197i 0.0791827 1.05662i
\(89\) 2.32132 5.91462i 0.246059 0.626949i −0.753475 0.657477i \(-0.771624\pi\)
0.999534 + 0.0305283i \(0.00971898\pi\)
\(90\) 4.02645 + 1.93903i 0.424425 + 0.204392i
\(91\) −2.58380 0.569212i −0.270855 0.0596696i
\(92\) −1.03849 + 0.500108i −0.108270 + 0.0521399i
\(93\) 1.48148 + 19.7689i 0.153622 + 2.04994i
\(94\) −4.46398 1.37695i −0.460424 0.142022i
\(95\) 5.92975 4.04284i 0.608380 0.414786i
\(96\) 1.15829 + 0.174584i 0.118218 + 0.0178184i
\(97\) −6.91568 −0.702181 −0.351090 0.936342i \(-0.614189\pi\)
−0.351090 + 0.936342i \(0.614189\pi\)
\(98\) 12.3333 11.7957i 1.24585 1.19154i
\(99\) 3.57331 0.359131
\(100\) 14.9842 + 2.25850i 1.49842 + 0.225850i
\(101\) 9.36273 6.38340i 0.931626 0.635172i 0.000551382 1.00000i \(-0.499824\pi\)
0.931075 + 0.364828i \(0.118872\pi\)
\(102\) −21.4905 6.62893i −2.12787 0.656362i
\(103\) −0.792482 10.5749i −0.0780856 1.04198i −0.889328 0.457270i \(-0.848827\pi\)
0.811242 0.584710i \(-0.198792\pi\)
\(104\) 4.26973 2.05619i 0.418682 0.201626i
\(105\) 2.63662 5.58261i 0.257308 0.544807i
\(106\) 17.8207 + 8.58201i 1.73090 + 0.833558i
\(107\) −3.15033 + 8.02690i −0.304553 + 0.775990i 0.693883 + 0.720088i \(0.255899\pi\)
−0.998436 + 0.0559016i \(0.982197\pi\)
\(108\) −0.828606 + 11.0570i −0.0797326 + 1.06396i
\(109\) −6.82692 17.3947i −0.653900 1.66611i −0.742335 0.670029i \(-0.766282\pi\)
0.0884349 0.996082i \(-0.471813\pi\)
\(110\) −5.25747 + 1.62171i −0.501280 + 0.154624i
\(111\) −4.26668 + 5.35025i −0.404975 + 0.507823i
\(112\) −1.37308 + 9.60196i −0.129744 + 0.907300i
\(113\) 3.43047 + 4.30168i 0.322712 + 0.404668i 0.916552 0.399915i \(-0.130960\pi\)
−0.593840 + 0.804583i \(0.702389\pi\)
\(114\) −29.1403 19.8675i −2.72924 1.86076i
\(115\) 0.230516 + 0.213888i 0.0214958 + 0.0199451i
\(116\) 17.8286 30.8801i 1.65535 2.86715i
\(117\) 0.851834 + 1.47542i 0.0787521 + 0.136403i
\(118\) −2.67350 + 11.7133i −0.246115 + 1.07830i
\(119\) −3.23555 + 10.7781i −0.296603 + 0.988029i
\(120\) 2.46079 + 10.7814i 0.224638 + 0.984204i
\(121\) 4.83875 4.48970i 0.439886 0.408155i
\(122\) −36.4479 + 5.49364i −3.29984 + 0.497371i
\(123\) −14.1640 + 2.13488i −1.27712 + 0.192496i
\(124\) −26.4261 + 24.5198i −2.37313 + 2.20195i
\(125\) −2.11705 9.27540i −0.189355 0.829617i
\(126\) −10.9644 0.738331i −0.976786 0.0657757i
\(127\) −3.39515 + 14.8751i −0.301271 + 1.31995i 0.566941 + 0.823759i \(0.308127\pi\)
−0.868211 + 0.496195i \(0.834730\pi\)
\(128\) 10.0030 + 17.3257i 0.884151 + 1.53139i
\(129\) −1.84376 + 3.19348i −0.162334 + 0.281170i
\(130\) −1.92292 1.78421i −0.168652 0.156486i
\(131\) −8.43531 5.75109i −0.736996 0.502475i 0.135693 0.990751i \(-0.456674\pi\)
−0.872690 + 0.488275i \(0.837626\pi\)
\(132\) 11.1854 + 14.0260i 0.973563 + 1.22081i
\(133\) −9.83070 + 14.6559i −0.852430 + 1.27083i
\(134\) −10.5241 + 13.1967i −0.909139 + 1.14002i
\(135\) 2.89063 0.891641i 0.248786 0.0767403i
\(136\) −7.36411 18.7634i −0.631467 1.60895i
\(137\) −0.982018 + 13.1041i −0.0838995 + 1.11956i 0.783315 + 0.621625i \(0.213527\pi\)
−0.867214 + 0.497935i \(0.834092\pi\)
\(138\) 0.564576 1.43852i 0.0480599 0.122455i
\(139\) −10.1659 4.89566i −0.862264 0.415244i −0.0501486 0.998742i \(-0.515969\pi\)
−0.812115 + 0.583498i \(0.801684\pi\)
\(140\) 10.9262 2.58093i 0.923436 0.218128i
\(141\) 3.74415 1.80309i 0.315314 0.151847i
\(142\) 0.243684 + 3.25174i 0.0204495 + 0.272880i
\(143\) −2.00424 0.618226i −0.167603 0.0516986i
\(144\) 5.16056 3.51841i 0.430047 0.293201i
\(145\) −9.61937 1.44989i −0.798845 0.120407i
\(146\) −23.8446 −1.97339
\(147\) −0.905423 + 15.1545i −0.0746780 + 1.24992i
\(148\) −12.4440 −1.02289
\(149\) 1.63081 + 0.245805i 0.133601 + 0.0201371i 0.215502 0.976503i \(-0.430861\pi\)
−0.0819013 + 0.996640i \(0.526099\pi\)
\(150\) −16.7861 + 11.4446i −1.37058 + 0.934447i
\(151\) −0.0997563 0.0307707i −0.00811805 0.00250409i 0.290693 0.956816i \(-0.406114\pi\)
−0.298812 + 0.954312i \(0.596590\pi\)
\(152\) −2.36224 31.5218i −0.191603 2.55676i
\(153\) 6.52868 3.14405i 0.527813 0.254181i
\(154\) 10.5134 8.51498i 0.847190 0.686157i
\(155\) 8.86104 + 4.26725i 0.711736 + 0.342754i
\(156\) −3.12489 + 7.96209i −0.250191 + 0.637477i
\(157\) −0.556028 + 7.41968i −0.0443759 + 0.592155i 0.930048 + 0.367438i \(0.119765\pi\)
−0.974424 + 0.224717i \(0.927854\pi\)
\(158\) −0.646827 1.64809i −0.0514588 0.131115i
\(159\) −16.8137 + 5.18635i −1.33342 + 0.411305i
\(160\) 0.362327 0.454344i 0.0286445 0.0359190i
\(161\) −0.721917 0.277050i −0.0568950 0.0218346i
\(162\) −17.0377 21.3646i −1.33861 1.67856i
\(163\) −11.1711 7.61633i −0.874989 0.596557i 0.0403753 0.999185i \(-0.487145\pi\)
−0.915364 + 0.402627i \(0.868097\pi\)
\(164\) −19.0941 17.7167i −1.49100 1.38344i
\(165\) 2.44719 4.23866i 0.190514 0.329979i
\(166\) −0.180869 0.313275i −0.0140382 0.0243149i
\(167\) 3.22062 14.1105i 0.249219 1.09190i −0.683117 0.730309i \(-0.739376\pi\)
0.932336 0.361592i \(-0.117767\pi\)
\(168\) −15.4879 22.3515i −1.19491 1.72445i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −8.17886 + 7.58887i −0.627290 + 0.582040i
\(171\) 11.2368 1.69368i 0.859302 0.129519i
\(172\) −6.63064 + 0.999408i −0.505581 + 0.0762041i
\(173\) 5.71673 5.30435i 0.434635 0.403282i −0.432279 0.901740i \(-0.642290\pi\)
0.866914 + 0.498457i \(0.166100\pi\)
\(174\) 10.6378 + 46.6073i 0.806451 + 3.53329i
\(175\) 5.78997 + 8.35585i 0.437680 + 0.631643i
\(176\) −1.71105 + 7.49660i −0.128975 + 0.565078i
\(177\) −5.34397 9.25602i −0.401677 0.695725i
\(178\) −7.74532 + 13.4153i −0.580536 + 1.00552i
\(179\) 3.57664 + 3.31864i 0.267331 + 0.248047i 0.802435 0.596739i \(-0.203537\pi\)
−0.535104 + 0.844786i \(0.679728\pi\)
\(180\) −5.97314 4.07242i −0.445211 0.303540i
\(181\) −6.58741 8.26035i −0.489638 0.613987i 0.474219 0.880407i \(-0.342731\pi\)
−0.963857 + 0.266420i \(0.914159\pi\)
\(182\) 6.02209 + 2.31110i 0.446387 + 0.171310i
\(183\) 20.4440 25.6359i 1.51126 1.89506i
\(184\) 1.32351 0.408249i 0.0975705 0.0300965i
\(185\) 1.24032 + 3.16029i 0.0911904 + 0.232349i
\(186\) 3.61183 48.1966i 0.264832 3.53394i
\(187\) −3.25923 + 8.30438i −0.238338 + 0.607276i
\(188\) 6.80852 + 3.27881i 0.496562 + 0.239132i
\(189\) −5.78039 + 4.68166i −0.420462 + 0.340540i
\(190\) −15.7643 + 7.59167i −1.14366 + 0.550758i
\(191\) 0.0457091 + 0.609946i 0.00330740 + 0.0441341i 0.998613 0.0526447i \(-0.0167651\pi\)
−0.995306 + 0.0967789i \(0.969146\pi\)
\(192\) −17.9246 5.52899i −1.29359 0.399021i
\(193\) 1.41259 0.963085i 0.101680 0.0693243i −0.511413 0.859335i \(-0.670878\pi\)
0.613093 + 0.790011i \(0.289925\pi\)
\(194\) 16.6721 + 2.51291i 1.19699 + 0.180417i
\(195\) 2.33352 0.167107
\(196\) −22.5720 + 15.8947i −1.61228 + 1.13533i
\(197\) −18.7143 −1.33334 −0.666669 0.745354i \(-0.732280\pi\)
−0.666669 + 0.745354i \(0.732280\pi\)
\(198\) −8.61441 1.29841i −0.612199 0.0922742i
\(199\) 1.64363 1.12061i 0.116514 0.0794380i −0.503661 0.863901i \(-0.668014\pi\)
0.620175 + 0.784463i \(0.287062\pi\)
\(200\) −17.4000 5.36718i −1.23036 0.379517i
\(201\) −1.12211 14.9735i −0.0791473 1.05615i
\(202\) −24.8909 + 11.9868i −1.75131 + 0.843389i
\(203\) 23.2803 5.49914i 1.63396 0.385964i
\(204\) 32.7776 + 15.7848i 2.29489 + 1.10516i
\(205\) −2.59620 + 6.61501i −0.181326 + 0.462012i
\(206\) −1.93207 + 25.7817i −0.134614 + 1.79629i
\(207\) 0.181910 + 0.463499i 0.0126436 + 0.0322154i
\(208\) −3.50324 + 1.08061i −0.242906 + 0.0749266i
\(209\) −8.72272 + 10.9379i −0.603363 + 0.756593i
\(210\) −8.38481 + 12.5003i −0.578607 + 0.862604i
\(211\) 11.7188 + 14.6950i 0.806758 + 1.01164i 0.999538 + 0.0304007i \(0.00967835\pi\)
−0.192780 + 0.981242i \(0.561750\pi\)
\(212\) −26.4366 18.0242i −1.81567 1.23791i
\(213\) −2.12643 1.97304i −0.145701 0.135190i
\(214\) 10.5114 18.2063i 0.718544 1.24455i
\(215\) 0.914702 + 1.58431i 0.0623821 + 0.108049i
\(216\) 2.96481 12.9897i 0.201729 0.883835i
\(217\) −24.1294 1.62485i −1.63801 0.110302i
\(218\) 10.1375 + 44.4152i 0.686597 + 3.00818i
\(219\) 15.5493 14.4276i 1.05072 0.974928i
\(220\) 8.80075 1.32650i 0.593346 0.0894325i
\(221\) −4.20584 + 0.633928i −0.282915 + 0.0426426i
\(222\) 12.2301 11.3478i 0.820828 0.761617i
\(223\) −0.765049 3.35190i −0.0512315 0.224460i 0.942831 0.333272i \(-0.108153\pi\)
−0.994062 + 0.108812i \(0.965295\pi\)
\(224\) −0.410861 + 1.36864i −0.0274518 + 0.0914461i
\(225\) 1.45663 6.38192i 0.0971087 0.425461i
\(226\) −6.70700 11.6169i −0.446143 0.772742i
\(227\) −9.94942 + 17.2329i −0.660366 + 1.14379i 0.320153 + 0.947366i \(0.396266\pi\)
−0.980519 + 0.196422i \(0.937068\pi\)
\(228\) 41.8223 + 38.8054i 2.76975 + 2.56995i
\(229\) 7.97281 + 5.43577i 0.526858 + 0.359206i 0.797351 0.603516i \(-0.206234\pi\)
−0.270492 + 0.962722i \(0.587187\pi\)
\(230\) −0.478002 0.599395i −0.0315185 0.0395229i
\(231\) −1.70370 + 11.9140i −0.112095 + 0.783883i
\(232\) −26.7147 + 33.4992i −1.75391 + 2.19933i
\(233\) 11.1766 3.44754i 0.732206 0.225856i 0.0938386 0.995587i \(-0.470086\pi\)
0.638367 + 0.769732i \(0.279610\pi\)
\(234\) −1.51746 3.86642i −0.0991993 0.252756i
\(235\) 0.154069 2.05591i 0.0100503 0.134112i
\(236\) 7.10055 18.0919i 0.462206 1.17768i
\(237\) 1.41901 + 0.683358i 0.0921744 + 0.0443888i
\(238\) 11.7165 24.8078i 0.759471 1.60805i
\(239\) 15.8961 7.65517i 1.02824 0.495172i 0.157808 0.987470i \(-0.449557\pi\)
0.870427 + 0.492298i \(0.163843\pi\)
\(240\) −0.639314 8.53106i −0.0412676 0.550677i
\(241\) 16.7795 + 5.17579i 1.08086 + 0.333402i 0.783519 0.621368i \(-0.213423\pi\)
0.297345 + 0.954770i \(0.403899\pi\)
\(242\) −13.2965 + 9.06539i −0.854731 + 0.582746i
\(243\) 15.6972 + 2.36598i 1.00698 + 0.151778i
\(244\) 59.6260 3.81716
\(245\) 6.28643 + 4.14815i 0.401625 + 0.265015i
\(246\) 34.9218 2.22653
\(247\) −6.59567 0.994138i −0.419673 0.0632555i
\(248\) 35.7913 24.4021i 2.27275 1.54953i
\(249\) 0.307499 + 0.0948510i 0.0194870 + 0.00601094i
\(250\) 1.73336 + 23.1301i 0.109627 + 1.46288i
\(251\) −19.1443 + 9.21939i −1.20837 + 0.581923i −0.926052 0.377397i \(-0.876819\pi\)
−0.282323 + 0.959319i \(0.591105\pi\)
\(252\) 17.3604 + 3.82452i 1.09361 + 0.240922i
\(253\) −0.552291 0.265969i −0.0347222 0.0167214i
\(254\) 13.5900 34.6268i 0.852712 2.17268i
\(255\) 0.741718 9.89754i 0.0464482 0.619808i
\(256\) −11.4997 29.3008i −0.718732 1.83130i
\(257\) −28.4581 + 8.77816i −1.77517 + 0.547567i −0.996778 0.0802150i \(-0.974439\pi\)
−0.778390 + 0.627782i \(0.783963\pi\)
\(258\) 5.60526 7.02878i 0.348968 0.437593i
\(259\) −5.72432 6.07653i −0.355692 0.377577i
\(260\) 2.64570 + 3.31761i 0.164080 + 0.205749i
\(261\) −12.7269 8.67702i −0.787772 0.537094i
\(262\) 18.2458 + 16.9296i 1.12723 + 1.04592i
\(263\) −15.6038 + 27.0265i −0.962170 + 1.66653i −0.245138 + 0.969488i \(0.578833\pi\)
−0.717032 + 0.697040i \(0.754500\pi\)
\(264\) −10.7787 18.6692i −0.663380 1.14901i
\(265\) −1.94244 + 8.51038i −0.119323 + 0.522788i
\(266\) 29.0250 31.7598i 1.77963 1.94732i
\(267\) −3.06638 13.4347i −0.187659 0.822188i
\(268\) 20.0158 18.5720i 1.22266 1.13446i
\(269\) −4.97124 + 0.749294i −0.303102 + 0.0456852i −0.298832 0.954306i \(-0.596597\pi\)
−0.00426948 + 0.999991i \(0.501359\pi\)
\(270\) −7.29262 + 1.09919i −0.443815 + 0.0668943i
\(271\) 20.7579 19.2605i 1.26095 1.16999i 0.283471 0.958981i \(-0.408514\pi\)
0.977483 0.211014i \(-0.0676766\pi\)
\(272\) 3.46983 + 15.2023i 0.210389 + 0.921776i
\(273\) −5.32543 + 2.13669i −0.322310 + 0.129319i
\(274\) 7.12899 31.2341i 0.430678 1.88692i
\(275\) 4.02948 + 6.97927i 0.242987 + 0.420866i
\(276\) −1.24991 + 2.16491i −0.0752358 + 0.130312i
\(277\) 1.32374 + 1.22825i 0.0795357 + 0.0737983i 0.718939 0.695073i \(-0.244628\pi\)
−0.639403 + 0.768872i \(0.720819\pi\)
\(278\) 22.7288 + 15.4962i 1.36318 + 0.929402i
\(279\) 9.70946 + 12.1753i 0.581290 + 0.728915i
\(280\) −13.4449 + 1.10987i −0.803489 + 0.0663272i
\(281\) −1.95155 + 2.44717i −0.116420 + 0.145986i −0.836627 0.547774i \(-0.815476\pi\)
0.720207 + 0.693760i \(0.244047\pi\)
\(282\) −9.68145 + 2.98633i −0.576522 + 0.177833i
\(283\) −3.99765 10.1858i −0.237636 0.605486i 0.761451 0.648223i \(-0.224487\pi\)
−0.999086 + 0.0427372i \(0.986392\pi\)
\(284\) 0.394196 5.26017i 0.0233912 0.312134i
\(285\) 5.68654 14.4891i 0.336841 0.858258i
\(286\) 4.60711 + 2.21867i 0.272424 + 0.131192i
\(287\) −0.132145 17.4736i −0.00780025 1.03143i
\(288\) 0.829033 0.399241i 0.0488512 0.0235255i
\(289\) 0.0815276 + 1.08791i 0.00479574 + 0.0639947i
\(290\) 22.6632 + 6.99067i 1.33083 + 0.410507i
\(291\) −12.3925 + 8.44906i −0.726461 + 0.495293i
\(292\) 38.1414 + 5.74889i 2.23206 + 0.336429i
\(293\) 2.92331 0.170782 0.0853909 0.996348i \(-0.472786\pi\)
0.0853909 + 0.996348i \(0.472786\pi\)
\(294\) 7.68938 36.2050i 0.448454 2.11152i
\(295\) −5.30236 −0.308716
\(296\) 14.7862 + 2.22865i 0.859428 + 0.129538i
\(297\) −4.87221 + 3.32181i −0.282714 + 0.192751i
\(298\) −3.84218 1.18516i −0.222571 0.0686542i
\(299\) −0.0218408 0.291445i −0.00126309 0.0168547i
\(300\) 29.6101 14.2595i 1.70954 0.823271i
\(301\) −3.53815 2.77807i −0.203936 0.160125i
\(302\) 0.229308 + 0.110429i 0.0131952 + 0.00635447i
\(303\) 8.97870 22.8774i 0.515813 1.31427i
\(304\) −1.82742 + 24.3853i −0.104810 + 1.39859i
\(305\) −5.94306 15.1427i −0.340299 0.867067i
\(306\) −16.8816 + 5.20727i −0.965055 + 0.297680i
\(307\) 11.3383 14.2178i 0.647111 0.811451i −0.344761 0.938690i \(-0.612040\pi\)
0.991872 + 0.127239i \(0.0406115\pi\)
\(308\) −18.8699 + 11.0857i −1.07521 + 0.631664i
\(309\) −14.3398 17.9815i −0.815760 1.02293i
\(310\) −19.8113 13.5071i −1.12521 0.767153i
\(311\) −1.56003 1.44749i −0.0884610 0.0820798i 0.634703 0.772756i \(-0.281122\pi\)
−0.723164 + 0.690676i \(0.757313\pi\)
\(312\) 5.13901 8.90102i 0.290939 0.503921i
\(313\) 12.8239 + 22.2117i 0.724852 + 1.25548i 0.959035 + 0.283287i \(0.0914250\pi\)
−0.234183 + 0.972192i \(0.575242\pi\)
\(314\) 4.03650 17.6851i 0.227793 0.998026i
\(315\) −0.759078 4.79007i −0.0427692 0.269890i
\(316\) 0.637302 + 2.79220i 0.0358510 + 0.157074i
\(317\) −22.5652 + 20.9375i −1.26739 + 1.17597i −0.291773 + 0.956487i \(0.594245\pi\)
−0.975617 + 0.219479i \(0.929564\pi\)
\(318\) 42.4185 6.39357i 2.37871 0.358533i
\(319\) 18.7516 2.82635i 1.04989 0.158245i
\(320\) −6.82174 + 6.32965i −0.381347 + 0.353838i
\(321\) 4.16146 + 18.2326i 0.232270 + 1.01764i
\(322\) 1.63970 + 0.930221i 0.0913771 + 0.0518392i
\(323\) −6.31304 + 27.6592i −0.351267 + 1.53900i
\(324\) 22.1022 + 38.2822i 1.22790 + 2.12679i
\(325\) −1.92116 + 3.32755i −0.106567 + 0.184579i
\(326\) 24.1634 + 22.4204i 1.33829 + 1.24175i
\(327\) −33.4850 22.8297i −1.85172 1.26248i
\(328\) 19.5149 + 24.4709i 1.07753 + 1.35118i
\(329\) 1.53088 + 4.83294i 0.0844004 + 0.266448i
\(330\) −7.43979 + 9.32920i −0.409547 + 0.513555i
\(331\) 8.26581 2.54967i 0.454330 0.140142i −0.0591401 0.998250i \(-0.518836\pi\)
0.513470 + 0.858107i \(0.328360\pi\)
\(332\) 0.213786 + 0.544717i 0.0117330 + 0.0298952i
\(333\) −0.401719 + 5.36057i −0.0220141 + 0.293758i
\(334\) −12.8914 + 32.8468i −0.705387 + 1.79730i
\(335\) −6.71157 3.23212i −0.366692 0.176590i
\(336\) 9.27047 + 18.8837i 0.505746 + 1.03019i
\(337\) −26.0970 + 12.5677i −1.42159 + 0.684604i −0.977414 0.211333i \(-0.932219\pi\)
−0.444181 + 0.895937i \(0.646505\pi\)
\(338\) 0.182192 + 2.43118i 0.00990992 + 0.132239i
\(339\) 11.4027 + 3.51726i 0.619309 + 0.191031i
\(340\) 14.9124 10.1671i 0.808740 0.551390i
\(341\) −18.9578 2.85743i −1.02662 0.154739i
\(342\) −27.7048 −1.49810
\(343\) −18.1448 3.71048i −0.979725 0.200347i
\(344\) 8.05761 0.434437
\(345\) 0.674384 + 0.101647i 0.0363076 + 0.00547249i
\(346\) −15.7091 + 10.7103i −0.844527 + 0.575789i
\(347\) 8.44788 + 2.60583i 0.453506 + 0.139888i 0.513089 0.858335i \(-0.328501\pi\)
−0.0595833 + 0.998223i \(0.518977\pi\)
\(348\) −5.77913 77.1171i −0.309794 4.13391i
\(349\) 6.90480 3.32518i 0.369605 0.177993i −0.239856 0.970809i \(-0.577100\pi\)
0.609461 + 0.792816i \(0.291386\pi\)
\(350\) −10.9220 22.2479i −0.583808 1.18920i
\(351\) −2.53305 1.21985i −0.135204 0.0651110i
\(352\) −0.413867 + 1.05452i −0.0220592 + 0.0562059i
\(353\) 2.07636 27.7071i 0.110513 1.47470i −0.616109 0.787661i \(-0.711292\pi\)
0.726622 0.687037i \(-0.241089\pi\)
\(354\) 9.51974 + 24.2559i 0.505969 + 1.28919i
\(355\) −1.37517 + 0.424184i −0.0729864 + 0.0225133i
\(356\) 15.6237 19.5915i 0.828053 1.03835i
\(357\) 7.36998 + 23.2667i 0.390061 + 1.23141i
\(358\) −7.41657 9.30009i −0.391978 0.491525i
\(359\) −8.40532 5.73065i −0.443616 0.302452i 0.320834 0.947135i \(-0.396037\pi\)
−0.764450 + 0.644683i \(0.776989\pi\)
\(360\) 6.36802 + 5.90866i 0.335624 + 0.311414i
\(361\) −12.7456 + 22.0760i −0.670821 + 1.16190i
\(362\) 12.8792 + 22.3074i 0.676915 + 1.17245i
\(363\) 3.18557 13.9569i 0.167199 0.732548i
\(364\) −9.07564 5.14871i −0.475693 0.269866i
\(365\) −2.34165 10.2594i −0.122568 0.537004i
\(366\) −58.6008 + 54.3736i −3.06311 + 2.84215i
\(367\) 30.6287 4.61653i 1.59880 0.240981i 0.711677 0.702507i \(-0.247936\pi\)
0.887126 + 0.461526i \(0.152698\pi\)
\(368\) −1.05950 + 0.159694i −0.0552303 + 0.00832463i
\(369\) −8.24831 + 7.65332i −0.429390 + 0.398416i
\(370\) −1.84179 8.06942i −0.0957502 0.419509i
\(371\) −3.35962 21.2005i −0.174423 1.10067i
\(372\) −17.3975 + 76.2236i −0.902020 + 3.95201i
\(373\) −7.90302 13.6884i −0.409203 0.708760i 0.585598 0.810602i \(-0.300860\pi\)
−0.994801 + 0.101842i \(0.967526\pi\)
\(374\) 10.8748 18.8356i 0.562320 0.973967i
\(375\) −15.1256 14.0345i −0.781084 0.724740i
\(376\) −7.50277 5.11530i −0.386926 0.263801i
\(377\) 5.63715 + 7.06877i 0.290328 + 0.364060i
\(378\) 15.6363 9.18599i 0.804246 0.472476i
\(379\) 2.09260 2.62404i 0.107490 0.134788i −0.725176 0.688563i \(-0.758242\pi\)
0.832666 + 0.553775i \(0.186813\pi\)
\(380\) 27.0466 8.34277i 1.38746 0.427975i
\(381\) 12.0894 + 30.8033i 0.619359 + 1.57810i
\(382\) 0.111439 1.48705i 0.00570170 0.0760839i
\(383\) −8.30573 + 21.1627i −0.424403 + 1.08136i 0.545552 + 0.838077i \(0.316320\pi\)
−0.969955 + 0.243284i \(0.921775\pi\)
\(384\) 39.0921 + 18.8258i 1.99491 + 0.960699i
\(385\) 4.69614 + 3.68729i 0.239337 + 0.187922i
\(386\) −3.75536 + 1.80849i −0.191143 + 0.0920496i
\(387\) 0.216469 + 2.88858i 0.0110037 + 0.146835i
\(388\) −26.0625 8.03922i −1.32312 0.408130i
\(389\) 13.9188 9.48971i 0.705713 0.481147i −0.156509 0.987676i \(-0.550024\pi\)
0.862223 + 0.506529i \(0.169072\pi\)
\(390\) −5.62558 0.847920i −0.284862 0.0429361i
\(391\) −1.24309 −0.0628659
\(392\) 29.6670 14.8437i 1.49841 0.749722i
\(393\) −22.1418 −1.11691
\(394\) 45.1158 + 6.80011i 2.27290 + 0.342584i
\(395\) 0.645589 0.440155i 0.0324831 0.0221466i
\(396\) 13.4664 + 4.15384i 0.676713 + 0.208738i
\(397\) −0.473385 6.31688i −0.0237585 0.317035i −0.996403 0.0847377i \(-0.972995\pi\)
0.972645 0.232298i \(-0.0746243\pi\)
\(398\) −4.36961 + 2.10429i −0.219029 + 0.105479i
\(399\) 0.289440 + 38.2730i 0.0144901 + 1.91604i
\(400\) 12.6914 + 6.11186i 0.634571 + 0.305593i
\(401\) −7.23974 + 18.4466i −0.361536 + 0.921177i 0.628172 + 0.778074i \(0.283803\pi\)
−0.989708 + 0.143103i \(0.954292\pi\)
\(402\) −2.73569 + 36.5053i −0.136444 + 1.82072i
\(403\) −3.33948 8.50886i −0.166351 0.423857i
\(404\) 42.7050 13.1727i 2.12465 0.655368i
\(405\) 7.51920 9.42878i 0.373632 0.468520i
\(406\) −58.1216 + 4.79788i −2.88453 + 0.238115i
\(407\) −4.12627 5.17417i −0.204531 0.256474i
\(408\) −36.1198 24.6261i −1.78820 1.21917i
\(409\) −0.266093 0.246899i −0.0131575 0.0122083i 0.673567 0.739127i \(-0.264761\pi\)
−0.686724 + 0.726918i \(0.740952\pi\)
\(410\) 8.66249 15.0039i 0.427810 0.740989i
\(411\) 14.2499 + 24.6816i 0.702897 + 1.21745i
\(412\) 9.30642 40.7741i 0.458494 2.00880i
\(413\) 12.1007 4.85511i 0.595438 0.238904i
\(414\) −0.270123 1.18349i −0.0132758 0.0581652i
\(415\) 0.117028 0.108586i 0.00574469 0.00533030i
\(416\) −0.534071 + 0.0804983i −0.0261850 + 0.00394675i
\(417\) −24.1979 + 3.64725i −1.18498 + 0.178607i
\(418\) 25.0029 23.1993i 1.22293 1.13471i
\(419\) −3.55815 15.5893i −0.173827 0.761586i −0.984400 0.175948i \(-0.943701\pi\)
0.810573 0.585638i \(-0.199156\pi\)
\(420\) 16.4260 17.9737i 0.801507 0.877029i
\(421\) 5.39239 23.6256i 0.262809 1.15144i −0.655380 0.755299i \(-0.727492\pi\)
0.918189 0.396142i \(-0.129651\pi\)
\(422\) −22.9118 39.6843i −1.11533 1.93180i
\(423\) 1.63222 2.82710i 0.0793615 0.137458i
\(424\) 28.1843 + 26.1512i 1.36875 + 1.27002i
\(425\) 13.5030 + 9.20618i 0.654991 + 0.446566i
\(426\) 4.40940 + 5.52921i 0.213636 + 0.267891i
\(427\) 27.4283 + 29.1159i 1.32735 + 1.40902i
\(428\) −21.2033 + 26.5881i −1.02490 + 1.28519i
\(429\) −4.34678 + 1.34080i −0.209865 + 0.0647346i
\(430\) −1.62945 4.15177i −0.0785790 0.200216i
\(431\) −1.79455 + 23.9466i −0.0864404 + 1.15347i 0.770287 + 0.637698i \(0.220113\pi\)
−0.856727 + 0.515770i \(0.827506\pi\)
\(432\) −3.76565 + 9.59471i −0.181175 + 0.461626i
\(433\) −34.5126 16.6204i −1.65857 0.798726i −0.998886 0.0471838i \(-0.984975\pi\)
−0.659685 0.751542i \(-0.729310\pi\)
\(434\) 57.5800 + 12.6849i 2.76393 + 0.608896i
\(435\) −19.0087 + 9.15411i −0.911398 + 0.438906i
\(436\) −5.50731 73.4900i −0.263752 3.51953i
\(437\) −1.86283 0.574607i −0.0891113 0.0274872i
\(438\) −42.7281 + 29.1316i −2.04163 + 1.39196i
\(439\) −13.8152 2.08230i −0.659363 0.0993829i −0.189167 0.981945i \(-0.560579\pi\)
−0.470196 + 0.882562i \(0.655817\pi\)
\(440\) −10.6947 −0.509852
\(441\) 6.11836 + 10.2366i 0.291350 + 0.487456i
\(442\) 10.3696 0.493234
\(443\) 22.8085 + 3.43782i 1.08366 + 0.163336i 0.666507 0.745499i \(-0.267789\pi\)
0.417156 + 0.908835i \(0.363027\pi\)
\(444\) −22.2989 + 15.2032i −1.05826 + 0.721510i
\(445\) −6.53272 2.01508i −0.309681 0.0955238i
\(446\) 0.626393 + 8.35864i 0.0296606 + 0.395793i
\(447\) 3.22262 1.55193i 0.152425 0.0734038i
\(448\) 9.77242 20.6915i 0.461703 0.977580i
\(449\) −33.1230 15.9512i −1.56317 0.752784i −0.565753 0.824575i \(-0.691414\pi\)
−0.997420 + 0.0717906i \(0.977129\pi\)
\(450\) −5.83056 + 14.8560i −0.274855 + 0.700319i
\(451\) 1.03521 13.8139i 0.0487459 0.650469i
\(452\) 7.92759 + 20.1992i 0.372883 + 0.950089i
\(453\) −0.216351 + 0.0667354i −0.0101650 + 0.00313550i
\(454\) 30.2476 37.9292i 1.41959 1.78011i
\(455\) −0.402981 + 2.81804i −0.0188920 + 0.132112i
\(456\) −42.7440 53.5993i −2.00167 2.51002i
\(457\) −13.9513 9.51184i −0.652614 0.444945i 0.191221 0.981547i \(-0.438755\pi\)
−0.843835 + 0.536602i \(0.819708\pi\)
\(458\) −17.2454 16.0014i −0.805826 0.747697i
\(459\) −5.97909 + 10.3561i −0.279080 + 0.483381i
\(460\) 0.620090 + 1.07403i 0.0289118 + 0.0500768i
\(461\) 7.62518 33.4081i 0.355140 1.55597i −0.409987 0.912091i \(-0.634467\pi\)
0.765127 0.643879i \(-0.222676\pi\)
\(462\) 8.43635 28.1028i 0.392495 1.30746i
\(463\) 6.10991 + 26.7693i 0.283952 + 1.24407i 0.892679 + 0.450694i \(0.148823\pi\)
−0.608727 + 0.793380i \(0.708319\pi\)
\(464\) 24.2981 22.5453i 1.12801 1.04664i
\(465\) 21.0919 3.17909i 0.978112 0.147427i
\(466\) −28.1970 + 4.25001i −1.30620 + 0.196878i
\(467\) −8.23300 + 7.63911i −0.380978 + 0.353496i −0.847296 0.531121i \(-0.821771\pi\)
0.466318 + 0.884617i \(0.345580\pi\)
\(468\) 1.49511 + 6.55051i 0.0691116 + 0.302798i
\(469\) 18.2762 + 1.23070i 0.843919 + 0.0568286i
\(470\) −1.11847 + 4.90032i −0.0515910 + 0.226035i
\(471\) 8.06844 + 13.9749i 0.371774 + 0.643931i
\(472\) −11.6771 + 20.2254i −0.537484 + 0.930949i
\(473\) −2.61418 2.42560i −0.120200 0.111529i
\(474\) −3.17259 2.16303i −0.145722 0.0993514i
\(475\) 15.9794 + 20.0375i 0.733184 + 0.919384i
\(476\) −24.7227 + 36.8574i −1.13316 + 1.68935i
\(477\) −8.61780 + 10.8064i −0.394582 + 0.494790i
\(478\) −41.1035 + 12.6787i −1.88003 + 0.579912i
\(479\) −0.0287095 0.0731506i −0.00131177 0.00334233i 0.930216 0.367012i \(-0.119619\pi\)
−0.931528 + 0.363669i \(0.881524\pi\)
\(480\) 0.0941857 1.25682i 0.00429897 0.0573658i
\(481\) 1.15277 2.93720i 0.0525616 0.133925i
\(482\) −38.5708 18.5747i −1.75685 0.846055i
\(483\) −1.63211 + 0.385527i −0.0742637 + 0.0175421i
\(484\) 23.4545 11.2951i 1.06611 0.513413i
\(485\) 0.556064 + 7.42015i 0.0252495 + 0.336932i
\(486\) −36.9826 11.4076i −1.67757 0.517461i
\(487\) −16.2653 + 11.0895i −0.737053 + 0.502514i −0.872708 0.488242i \(-0.837638\pi\)
0.135656 + 0.990756i \(0.456686\pi\)
\(488\) −70.8485 10.6787i −3.20716 0.483401i
\(489\) −29.3230 −1.32603
\(490\) −13.6478 12.2845i −0.616545 0.554956i
\(491\) −1.61348 −0.0728153 −0.0364077 0.999337i \(-0.511591\pi\)
−0.0364077 + 0.999337i \(0.511591\pi\)
\(492\) −55.8604 8.41960i −2.51838 0.379585i
\(493\) 31.7736 21.6629i 1.43101 0.975648i
\(494\) 15.5394 + 4.79327i 0.699150 + 0.215659i
\(495\) −0.287316 3.83397i −0.0129139 0.172324i
\(496\) −30.1924 + 14.5399i −1.35568 + 0.652859i
\(497\) 2.74993 2.22722i 0.123351 0.0999045i
\(498\) −0.706843 0.340398i −0.0316744 0.0152536i
\(499\) 14.3432 36.5459i 0.642091 1.63602i −0.123234 0.992378i \(-0.539327\pi\)
0.765325 0.643644i \(-0.222578\pi\)
\(500\) 2.80397 37.4164i 0.125397 1.67331i
\(501\) −11.4680 29.2199i −0.512350 1.30545i
\(502\) 49.5023 15.2694i 2.20940 0.681509i
\(503\) 24.2761 30.4413i 1.08242 1.35731i 0.153026 0.988222i \(-0.451098\pi\)
0.929394 0.369089i \(-0.120330\pi\)
\(504\) −19.9430 7.65351i −0.888331 0.340914i
\(505\) −7.60187 9.53244i −0.338279 0.424188i
\(506\) 1.23480 + 0.841873i 0.0548936 + 0.0374258i
\(507\) −1.58984 1.47515i −0.0706072 0.0655139i
\(508\) −30.0868 + 52.1118i −1.33489 + 2.31209i
\(509\) −18.1489 31.4347i −0.804434 1.39332i −0.916672 0.399639i \(-0.869135\pi\)
0.112238 0.993681i \(-0.464198\pi\)
\(510\) −5.38452 + 23.5911i −0.238431 + 1.04463i
\(511\) 14.7380 + 21.2693i 0.651972 + 0.940900i
\(512\) 8.17272 + 35.8070i 0.361187 + 1.58246i
\(513\) −13.7470 + 12.7553i −0.606943 + 0.563161i
\(514\) 71.7955 10.8214i 3.16676 0.477313i
\(515\) −11.2826 + 1.70058i −0.497172 + 0.0749366i
\(516\) −10.6607 + 9.89170i −0.469312 + 0.435458i
\(517\) 0.894296 + 3.91817i 0.0393311 + 0.172321i
\(518\) 11.5920 + 16.7291i 0.509323 + 0.735034i
\(519\) 3.76359 16.4894i 0.165203 0.723803i
\(520\) −2.54950 4.41586i −0.111803 0.193648i
\(521\) 11.4991 19.9171i 0.503786 0.872582i −0.496205 0.868205i \(-0.665274\pi\)
0.999990 0.00437670i \(-0.00139315\pi\)
\(522\) 27.5285 + 25.5428i 1.20489 + 1.11798i
\(523\) 17.5102 + 11.9382i 0.765666 + 0.522022i 0.882035 0.471184i \(-0.156173\pi\)
−0.116369 + 0.993206i \(0.537126\pi\)
\(524\) −25.1040 31.4794i −1.09667 1.37518i
\(525\) 20.5838 + 7.89945i 0.898353 + 0.344760i
\(526\) 47.4376 59.4848i 2.06838 2.59366i
\(527\) −37.1514 + 11.4597i −1.61834 + 0.499192i
\(528\) 6.09269 + 15.5239i 0.265150 + 0.675592i
\(529\) −1.71241 + 22.8505i −0.0744526 + 0.993500i
\(530\) 7.77514 19.8107i 0.337730 0.860523i
\(531\) −7.56432 3.64279i −0.328264 0.158083i
\(532\) −54.0851 + 43.8046i −2.34489 + 1.89917i
\(533\) 5.95053 2.86562i 0.257746 0.124124i
\(534\) 2.51063 + 33.5021i 0.108646 + 1.44978i
\(535\) 8.86574 + 2.73472i 0.383299 + 0.118232i
\(536\) −27.1092 + 18.4827i −1.17094 + 0.798333i
\(537\) 10.4636 + 1.57713i 0.451538 + 0.0680584i
\(538\) 12.2568 0.528426
\(539\) −14.0935 4.11490i −0.607051 0.177241i
\(540\) 11.9302 0.513393
\(541\) 3.64057 + 0.548728i 0.156520 + 0.0235916i 0.226835 0.973933i \(-0.427162\pi\)
−0.0703146 + 0.997525i \(0.522400\pi\)
\(542\) −57.0411 + 38.8900i −2.45013 + 1.67047i
\(543\) −21.8961 6.75406i −0.939653 0.289845i
\(544\) 0.171674 + 2.29082i 0.00736044 + 0.0982183i
\(545\) −18.1147 + 8.72356i −0.775947 + 0.373676i
\(546\) 13.6148 3.21600i 0.582658 0.137632i
\(547\) 3.84405 + 1.85119i 0.164360 + 0.0791514i 0.514255 0.857637i \(-0.328069\pi\)
−0.349895 + 0.936789i \(0.613783\pi\)
\(548\) −18.9339 + 48.2428i −0.808817 + 2.06083i
\(549\) 1.92486 25.6854i 0.0821508 1.09623i
\(550\) −7.17812 18.2896i −0.306076 0.779869i
\(551\) 57.6277 17.7758i 2.45502 0.757274i
\(552\) 1.87289 2.34852i 0.0797153 0.0999598i
\(553\) −1.07030 + 1.59563i −0.0455136 + 0.0678531i
\(554\) −2.74492 3.44202i −0.116620 0.146237i
\(555\) 6.08360 + 4.14773i 0.258234 + 0.176061i
\(556\) −32.6205 30.2674i −1.38342 1.28362i
\(557\) 17.3420 30.0373i 0.734806 1.27272i −0.220003 0.975499i \(-0.570607\pi\)
0.954809 0.297222i \(-0.0960600\pi\)
\(558\) −18.9832 32.8798i −0.803622 1.39191i
\(559\) 0.378343 1.65763i 0.0160022 0.0701103i
\(560\) 10.4128 + 0.701186i 0.440021 + 0.0296305i
\(561\) 4.30532 + 18.8628i 0.181771 + 0.796390i
\(562\) 5.59395 5.19043i 0.235967 0.218945i
\(563\) 29.6061 4.46240i 1.24775 0.188068i 0.508239 0.861216i \(-0.330297\pi\)
0.739507 + 0.673148i \(0.235058\pi\)
\(564\) 16.2063 2.44270i 0.682407 0.102856i
\(565\) 4.33964 4.02660i 0.182570 0.169400i
\(566\) 5.93622 + 26.0083i 0.249518 + 1.09321i
\(567\) −8.52640 + 28.4028i −0.358075 + 1.19280i
\(568\) −1.41046 + 6.17962i −0.0591815 + 0.259291i
\(569\) 14.8903 + 25.7907i 0.624234 + 1.08120i 0.988689 + 0.149983i \(0.0479220\pi\)
−0.364455 + 0.931221i \(0.618745\pi\)
\(570\) −18.9737 + 32.8635i −0.794722 + 1.37650i
\(571\) 8.21702 + 7.62428i 0.343872 + 0.319066i 0.833135 0.553070i \(-0.186544\pi\)
−0.489263 + 0.872136i \(0.662734\pi\)
\(572\) −6.83454 4.65971i −0.285766 0.194832i
\(573\) 0.827094 + 1.03714i 0.0345524 + 0.0433273i
\(574\) −6.03071 + 42.1728i −0.251717 + 1.76026i
\(575\) −0.700157 + 0.877970i −0.0291986 + 0.0366139i
\(576\) −14.0804 + 4.34323i −0.586683 + 0.180968i
\(577\) −9.84406 25.0823i −0.409814 1.04419i −0.975584 0.219625i \(-0.929516\pi\)
0.565771 0.824563i \(-0.308579\pi\)
\(578\) 0.198764 2.65232i 0.00826749 0.110322i
\(579\) 1.35465 3.45158i 0.0562972 0.143443i
\(580\) −34.5662 16.6462i −1.43529 0.691197i
\(581\) −0.167648 + 0.354966i −0.00695520 + 0.0147265i
\(582\) 32.9455 15.8657i 1.36563 0.657655i
\(583\) −1.27164 16.9688i −0.0526659 0.702777i
\(584\) −44.2906 13.6618i −1.83276 0.565331i
\(585\) 1.51455 1.03261i 0.0626191 0.0426930i
\(586\) −7.04743 1.06223i −0.291127 0.0438803i
\(587\) 26.0465 1.07505 0.537526 0.843247i \(-0.319359\pi\)
0.537526 + 0.843247i \(0.319359\pi\)
\(588\) −21.0288 + 56.0591i −0.867212 + 2.31184i
\(589\) −60.9702 −2.51223
\(590\) 12.7828 + 1.92669i 0.526258 + 0.0793206i
\(591\) −33.5349 + 22.8637i −1.37944 + 0.940487i
\(592\) −11.0538 3.40965i −0.454309 0.140136i
\(593\) 0.224323 + 2.99338i 0.00921185 + 0.122924i 0.999914 0.0131262i \(-0.00417833\pi\)
−0.990702 + 0.136050i \(0.956559\pi\)
\(594\) 12.9528 6.23773i 0.531459 0.255937i
\(595\) 11.8245 + 2.60495i 0.484757 + 0.106792i
\(596\) 5.86015 + 2.82210i 0.240041 + 0.115598i
\(597\) 1.57622 4.01614i 0.0645103 0.164370i
\(598\) −0.0532478 + 0.710542i −0.00217746 + 0.0290562i
\(599\) 10.1037 + 25.7439i 0.412828 + 1.05187i 0.974476 + 0.224492i \(0.0720723\pi\)
−0.561648 + 0.827376i \(0.689832\pi\)
\(600\) −37.7369 + 11.6403i −1.54060 + 0.475213i
\(601\) −6.37048 + 7.98833i −0.259857 + 0.325851i −0.894596 0.446876i \(-0.852536\pi\)
0.634738 + 0.772727i \(0.281108\pi\)
\(602\) 7.52020 + 7.98292i 0.306501 + 0.325359i
\(603\) −7.35419 9.22186i −0.299486 0.375543i
\(604\) −0.340173 0.231926i −0.0138414 0.00943694i
\(605\) −5.20628 4.83072i −0.211665 0.196397i
\(606\) −29.9584 + 51.8894i −1.21698 + 2.10786i
\(607\) −19.0712 33.0324i −0.774078 1.34074i −0.935311 0.353826i \(-0.884881\pi\)
0.161234 0.986916i \(-0.448453\pi\)
\(608\) −0.801650 + 3.51226i −0.0325112 + 0.142441i
\(609\) 34.9986 38.2963i 1.41821 1.55184i
\(610\) 8.82502 + 38.6649i 0.357315 + 1.56550i
\(611\) −1.40462 + 1.30330i −0.0568250 + 0.0527259i
\(612\) 28.2589 4.25935i 1.14230 0.172174i
\(613\) −22.0100 + 3.31748i −0.888977 + 0.133992i −0.577624 0.816303i \(-0.696020\pi\)
−0.311352 + 0.950295i \(0.600782\pi\)
\(614\) −32.5002 + 30.1558i −1.31160 + 1.21699i
\(615\) 3.42948 + 15.0256i 0.138290 + 0.605889i
\(616\) 24.4069 9.79265i 0.983382 0.394557i
\(617\) −0.0739045 + 0.323797i −0.00297528 + 0.0130356i −0.976394 0.215998i \(-0.930699\pi\)
0.973418 + 0.229034i \(0.0735566\pi\)
\(618\) 28.0360 + 48.5597i 1.12777 + 1.95336i
\(619\) −13.0212 + 22.5534i −0.523366 + 0.906497i 0.476264 + 0.879302i \(0.341991\pi\)
−0.999630 + 0.0271943i \(0.991343\pi\)
\(620\) 28.4333 + 26.3822i 1.14191 + 1.05954i
\(621\) −0.678911 0.462874i −0.0272438 0.0185745i
\(622\) 3.23489 + 4.05642i 0.129707 + 0.162648i
\(623\) 16.7537 1.38300i 0.671222 0.0554087i
\(624\) −4.95740 + 6.21639i −0.198455 + 0.248855i
\(625\) 8.57630 2.64544i 0.343052 0.105818i
\(626\) −22.8446 58.2070i −0.913052 2.32642i
\(627\) −2.26744 + 30.2569i −0.0905530 + 1.20835i
\(628\) −10.7206 + 27.3155i −0.427797 + 1.09001i
\(629\) −12.0916 5.82300i −0.482123 0.232178i
\(630\) 0.0894161 + 11.8236i 0.00356242 + 0.471062i
\(631\) 23.6122 11.3711i 0.939989 0.452675i 0.0998235 0.995005i \(-0.468172\pi\)
0.840165 + 0.542330i \(0.182458\pi\)
\(632\) −0.257183 3.43187i −0.0102302 0.136513i
\(633\) 38.9527 + 12.0153i 1.54823 + 0.477566i
\(634\) 62.0075 42.2760i 2.46263 1.67899i
\(635\) 16.2332 + 2.44676i 0.644195 + 0.0970967i
\(636\) −69.3935 −2.75163
\(637\) −1.66068 6.80016i −0.0657987 0.269432i
\(638\) −46.2327 −1.83037
\(639\) −2.25323 0.339620i −0.0891363 0.0134351i
\(640\) 17.7853 12.1258i 0.703025 0.479314i
\(641\) −45.4184 14.0097i −1.79392 0.553350i −0.795315 0.606197i \(-0.792694\pi\)
−0.998603 + 0.0528467i \(0.983171\pi\)
\(642\) −3.40725 45.4666i −0.134473 1.79442i
\(643\) −31.5394 + 15.1886i −1.24379 + 0.598979i −0.935841 0.352423i \(-0.885358\pi\)
−0.307952 + 0.951402i \(0.599644\pi\)
\(644\) −2.39857 1.88330i −0.0945167 0.0742122i
\(645\) 3.57468 + 1.72148i 0.140753 + 0.0677831i
\(646\) 25.2697 64.3860i 0.994221 2.53323i
\(647\) 0.328044 4.37745i 0.0128968 0.172095i −0.987036 0.160499i \(-0.948690\pi\)
0.999933 0.0115963i \(-0.00369129\pi\)
\(648\) −19.4061 49.4458i −0.762342 1.94242i
\(649\) 9.87699 3.04665i 0.387706 0.119591i
\(650\) 5.84058 7.32386i 0.229086 0.287265i
\(651\) −45.2237 + 26.5679i −1.77246 + 1.04128i
\(652\) −33.2459 41.6890i −1.30201 1.63267i
\(653\) 15.6739 + 10.6863i 0.613368 + 0.418187i 0.829761 0.558119i \(-0.188477\pi\)
−0.216393 + 0.976306i \(0.569429\pi\)
\(654\) 72.4290 + 67.2043i 2.83220 + 2.62790i
\(655\) −5.49237 + 9.51306i −0.214604 + 0.371706i
\(656\) −12.1066 20.9692i −0.472683 0.818711i
\(657\) 3.70777 16.2448i 0.144654 0.633770i
\(658\) −1.93449 12.2074i −0.0754141 0.475892i
\(659\) 6.50751 + 28.5113i 0.253497 + 1.11064i 0.928062 + 0.372426i \(0.121474\pi\)
−0.674565 + 0.738215i \(0.735669\pi\)
\(660\) 14.1498 13.1291i 0.550781 0.511050i
\(661\) 21.2892 3.20884i 0.828055 0.124809i 0.278679 0.960384i \(-0.410103\pi\)
0.549376 + 0.835575i \(0.314865\pi\)
\(662\) −20.8534 + 3.14314i −0.810490 + 0.122162i
\(663\) −6.76214 + 6.27434i −0.262620 + 0.243675i
\(664\) −0.156467 0.685528i −0.00607211 0.0266037i
\(665\) 16.5155 + 9.36939i 0.640442 + 0.363329i
\(666\) 2.91629 12.7771i 0.113004 0.495103i
\(667\) 1.32121 + 2.28841i 0.0511576 + 0.0886076i
\(668\) 28.5402 49.4331i 1.10425 1.91262i
\(669\) −5.46602 5.07173i −0.211329 0.196084i
\(670\) 15.0056 + 10.2306i 0.579717 + 0.395244i
\(671\) 19.7712 + 24.7923i 0.763258 + 0.957095i
\(672\) 0.935864 + 2.95448i 0.0361017 + 0.113972i
\(673\) 26.8259 33.6386i 1.03406 1.29667i 0.0800846 0.996788i \(-0.474481\pi\)
0.953976 0.299883i \(-0.0969476\pi\)
\(674\) 67.4804 20.8150i 2.59925 0.801762i
\(675\) 3.94663 + 10.0559i 0.151906 + 0.387050i
\(676\) 0.294723 3.93280i 0.0113355 0.151262i
\(677\) −11.9039 + 30.3306i −0.457503 + 1.16570i 0.497067 + 0.867712i \(0.334410\pi\)
−0.954570 + 0.297987i \(0.903685\pi\)
\(678\) −26.2112 12.6226i −1.00663 0.484769i
\(679\) −8.06328 16.4247i −0.309440 0.630321i
\(680\) −19.5400 + 9.40999i −0.749326 + 0.360857i
\(681\) 3.22509 + 43.0358i 0.123586 + 1.64914i
\(682\) 44.6646 + 13.7772i 1.71029 + 0.527556i
\(683\) 17.9067 12.2086i 0.685182 0.467149i −0.170022 0.985440i \(-0.554384\pi\)
0.855204 + 0.518291i \(0.173432\pi\)
\(684\) 44.3161 + 6.67958i 1.69447 + 0.255400i
\(685\) 14.1390 0.540223
\(686\) 42.3945 + 15.5383i 1.61863 + 0.593254i
\(687\) 20.9278 0.798447
\(688\) −6.16373 0.929033i −0.234990 0.0354191i
\(689\) 6.70329 4.57022i 0.255375 0.174112i
\(690\) −1.58885 0.490094i −0.0604864 0.0186576i
\(691\) −1.00133 13.3619i −0.0380925 0.508309i −0.983318 0.181892i \(-0.941778\pi\)
0.945226 0.326417i \(-0.105841\pi\)
\(692\) 27.7103 13.3446i 1.05339 0.507284i
\(693\) 4.16627 + 8.48657i 0.158264 + 0.322378i
\(694\) −19.4190 9.35170i −0.737135 0.354986i
\(695\) −4.43537 + 11.3011i −0.168243 + 0.428677i
\(696\) −6.94440 + 92.6666i −0.263227 + 3.51252i
\(697\) −10.2630 26.1497i −0.388739 0.990492i
\(698\) −17.8541 + 5.50726i −0.675788 + 0.208453i
\(699\) 15.8159 19.8326i 0.598214 0.750137i
\(700\) 12.1068 + 38.2206i 0.457593 + 1.44460i
\(701\) 9.73004 + 12.2011i 0.367498 + 0.460829i 0.930857 0.365384i \(-0.119062\pi\)
−0.563358 + 0.826213i \(0.690491\pi\)
\(702\) 5.66335 + 3.86121i 0.213749 + 0.145732i
\(703\) −15.4282 14.3152i −0.581884 0.539909i
\(704\) 9.07030 15.7102i 0.341850 0.592101i
\(705\) −2.23567 3.87229i −0.0842002 0.145839i
\(706\) −15.0734 + 66.0408i −0.567294 + 2.48548i
\(707\) 26.0769 + 14.7937i 0.980723 + 0.556375i
\(708\) −9.37956 41.0945i −0.352505 1.54443i
\(709\) 32.2881 29.9590i 1.21261 1.12513i 0.224003 0.974588i \(-0.428088\pi\)
0.988603 0.150545i \(-0.0481030\pi\)
\(710\) 3.46934 0.522920i 0.130202 0.0196248i
\(711\) 1.22339 0.184396i 0.0458805 0.00691538i
\(712\) −22.0730 + 20.4808i −0.827221 + 0.767549i
\(713\) −0.594462 2.60451i −0.0222628 0.0975396i
\(714\) −9.31300 58.7686i −0.348530 2.19936i
\(715\) −0.502170 + 2.20015i −0.0187801 + 0.0822809i
\(716\) 9.62119 + 16.6644i 0.359561 + 0.622777i
\(717\) 19.1324 33.1383i 0.714513 1.23757i
\(718\) 18.1809 + 16.8694i 0.678506 + 0.629562i
\(719\) −16.5778 11.3025i −0.618246 0.421513i 0.213286 0.976990i \(-0.431583\pi\)
−0.831532 + 0.555477i \(0.812536\pi\)
\(720\) −4.19001 5.25410i −0.156152 0.195809i
\(721\) 24.1914 14.2119i 0.900934 0.529279i
\(722\) 38.7483 48.5888i 1.44206 1.80829i
\(723\) 36.3913 11.2252i 1.35341 0.417471i
\(724\) −15.2230 38.7877i −0.565760 1.44153i
\(725\) 2.59609 34.6424i 0.0964163 1.28659i
\(726\) −12.7511 + 32.4893i −0.473238 + 1.20579i
\(727\) −11.4211 5.50010i −0.423584 0.203987i 0.209933 0.977716i \(-0.432675\pi\)
−0.633518 + 0.773728i \(0.718390\pi\)
\(728\) 9.86170 + 7.74317i 0.365499 + 0.286981i
\(729\) 0.723519 0.348429i 0.0267970 0.0129048i
\(730\) 1.91725 + 25.5840i 0.0709608 + 0.946906i
\(731\) −6.91051 2.13161i −0.255594 0.0788404i
\(732\) 106.846 72.8466i 3.94915 2.69249i
\(733\) −18.7084 2.81983i −0.691009 0.104153i −0.205856 0.978582i \(-0.565998\pi\)
−0.485153 + 0.874429i \(0.661236\pi\)
\(734\) −75.5160 −2.78735
\(735\) 16.3328 0.247049i 0.602445 0.00911253i
\(736\) −0.157852 −0.00581850
\(737\) 14.3591 + 2.16429i 0.528925 + 0.0797226i
\(738\) 22.6657 15.4532i 0.834336 0.568841i
\(739\) 3.66404 + 1.13021i 0.134784 + 0.0415754i 0.361413 0.932406i \(-0.382294\pi\)
−0.226629 + 0.973981i \(0.572771\pi\)
\(740\) 1.00058 + 13.3518i 0.0367819 + 0.490820i
\(741\) −13.0336 + 6.27666i −0.478802 + 0.230579i
\(742\) 0.395748 + 52.3302i 0.0145284 + 1.92110i
\(743\) −26.0520 12.5460i −0.955754 0.460267i −0.110054 0.993926i \(-0.535102\pi\)
−0.845700 + 0.533659i \(0.820817\pi\)
\(744\) 34.3232 87.4542i 1.25835 3.20623i
\(745\) 0.132608 1.76953i 0.00485839 0.0648307i
\(746\) 14.0784 + 35.8713i 0.515448 + 1.31334i
\(747\) 0.241552 0.0745089i 0.00883793 0.00272614i
\(748\) −21.9363 + 27.5073i −0.802071 + 1.00577i
\(749\) −22.7369 + 1.87691i −0.830788 + 0.0685807i
\(750\) 31.3647 + 39.3301i 1.14528 + 1.43613i
\(751\) 29.7628 + 20.2919i 1.08606 + 0.740462i 0.967598 0.252496i \(-0.0812515\pi\)
0.118461 + 0.992959i \(0.462204\pi\)
\(752\) 5.14951 + 4.77805i 0.187783 + 0.174238i
\(753\) −23.0418 + 39.9096i −0.839691 + 1.45439i
\(754\) −11.0213 19.0895i −0.401373 0.695198i
\(755\) −0.0249943 + 0.109507i −0.000909637 + 0.00398538i
\(756\) −27.2263 + 10.9239i −0.990212 + 0.397297i
\(757\) −7.69785 33.7265i −0.279783 1.22581i −0.898068 0.439856i \(-0.855029\pi\)
0.618285 0.785954i \(-0.287828\pi\)
\(758\) −5.99827 + 5.56558i −0.217867 + 0.202151i
\(759\) −1.31461 + 0.198146i −0.0477175 + 0.00719226i
\(760\) −33.6313 + 5.06911i −1.21994 + 0.183876i
\(761\) −30.4386 + 28.2429i −1.10340 + 1.02380i −0.103825 + 0.994596i \(0.533108\pi\)
−0.999573 + 0.0292088i \(0.990701\pi\)
\(762\) −17.9519 78.6524i −0.650328 2.84927i
\(763\) 33.3525 36.4951i 1.20744 1.32121i
\(764\) −0.536780 + 2.35179i −0.0194200 + 0.0850846i
\(765\) −3.89834 6.75212i −0.140945 0.244124i
\(766\) 27.7129 48.0002i 1.00131 1.73432i
\(767\) 3.61252 + 3.35193i 0.130441 + 0.121031i
\(768\) −56.4043 38.4558i −2.03532 1.38765i
\(769\) 26.9328 + 33.7726i 0.971221 + 1.21787i 0.975975 + 0.217884i \(0.0699155\pi\)
−0.00475347 + 0.999989i \(0.501513\pi\)
\(770\) −9.98146 10.5956i −0.359707 0.381839i
\(771\) −40.2707 + 50.4979i −1.45032 + 1.81864i
\(772\) 6.44304 1.98741i 0.231890 0.0715286i
\(773\) 7.84663 + 19.9929i 0.282224