Properties

Label 690.2.m.h.151.2
Level $690$
Weight $2$
Character 690.151
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 151.2
Character \(\chi\) \(=\) 690.151
Dual form 690.2.m.h.361.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.654861 + 0.755750i) q^{2} +(0.841254 + 0.540641i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-0.415415 + 0.909632i) q^{5} +(0.142315 + 0.989821i) q^{6} +(1.94609 + 0.571424i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(0.654861 + 0.755750i) q^{2} +(0.841254 + 0.540641i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-0.415415 + 0.909632i) q^{5} +(0.142315 + 0.989821i) q^{6} +(1.94609 + 0.571424i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(0.415415 + 0.909632i) q^{9} +(-0.959493 + 0.281733i) q^{10} +(-3.23188 + 3.72979i) q^{11} +(-0.654861 + 0.755750i) q^{12} +(6.08173 - 1.78576i) q^{13} +(0.842565 + 1.84496i) q^{14} +(-0.841254 + 0.540641i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(-0.738737 - 5.13803i) q^{17} +(-0.415415 + 0.909632i) q^{18} +(-0.914645 + 6.36150i) q^{19} +(-0.841254 - 0.540641i) q^{20} +(1.32822 + 1.53285i) q^{21} -4.93521 q^{22} +(-4.78923 + 0.251457i) q^{23} -1.00000 q^{24} +(-0.654861 - 0.755750i) q^{25} +(5.33228 + 3.42685i) q^{26} +(-0.142315 + 0.989821i) q^{27} +(-0.842565 + 1.84496i) q^{28} +(0.160429 + 1.11581i) q^{29} +(-0.959493 - 0.281733i) q^{30} +(1.29286 - 0.830872i) q^{31} +(-0.415415 - 0.909632i) q^{32} +(-4.73530 + 1.39041i) q^{33} +(3.39930 - 3.92300i) q^{34} +(-1.32822 + 1.53285i) q^{35} +(-0.959493 + 0.281733i) q^{36} +(3.68615 + 8.07155i) q^{37} +(-5.40667 + 3.47465i) q^{38} +(6.08173 + 1.78576i) q^{39} +(-0.142315 - 0.989821i) q^{40} +(2.21966 - 4.86037i) q^{41} +(-0.288650 + 2.00760i) q^{42} +(-6.99089 - 4.49277i) q^{43} +(-3.23188 - 3.72979i) q^{44} -1.00000 q^{45} +(-3.32632 - 3.45479i) q^{46} +11.5747 q^{47} +(-0.654861 - 0.755750i) q^{48} +(-2.42803 - 1.56040i) q^{49} +(0.142315 - 0.989821i) q^{50} +(2.15636 - 4.72178i) q^{51} +(0.902061 + 6.27397i) q^{52} +(2.01899 + 0.592829i) q^{53} +(-0.841254 + 0.540641i) q^{54} +(-2.05016 - 4.48923i) q^{55} +(-1.94609 + 0.571424i) q^{56} +(-4.20873 + 4.85714i) q^{57} +(-0.738214 + 0.851945i) q^{58} +(1.34640 - 0.395340i) q^{59} +(-0.415415 - 0.909632i) q^{60} +(0.181974 - 0.116948i) q^{61} +(1.47458 + 0.432975i) q^{62} +(0.288650 + 2.00760i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-0.902061 + 6.27397i) q^{65} +(-4.15177 - 2.66818i) q^{66} +(2.92544 + 3.37614i) q^{67} +5.19087 q^{68} +(-4.16491 - 2.37772i) q^{69} -2.02825 q^{70} +(-10.1035 - 11.6600i) q^{71} +(-0.841254 - 0.540641i) q^{72} +(0.620858 - 4.31816i) q^{73} +(-3.68615 + 8.07155i) q^{74} +(-0.142315 - 0.989821i) q^{75} +(-6.16658 - 1.81067i) q^{76} +(-8.42081 + 5.41173i) q^{77} +(2.63310 + 5.76569i) q^{78} +(14.8120 - 4.34918i) q^{79} +(0.654861 - 0.755750i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(5.12679 - 1.50536i) q^{82} +(0.0838378 + 0.183579i) q^{83} +(-1.70627 + 1.09655i) q^{84} +(4.98060 + 1.46244i) q^{85} +(-1.18265 - 8.22550i) q^{86} +(-0.468291 + 1.02541i) q^{87} +(0.702354 - 4.88498i) q^{88} +(7.42991 + 4.77491i) q^{89} +(-0.654861 - 0.755750i) q^{90} +12.8560 q^{91} +(0.432682 - 4.77627i) q^{92} +1.53683 q^{93} +(7.57982 + 8.74758i) q^{94} +(-5.40667 - 3.47465i) q^{95} +(0.142315 - 0.989821i) q^{96} +(5.87005 - 12.8536i) q^{97} +(-0.410750 - 2.85683i) q^{98} +(-4.73530 - 1.39041i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} - 3q^{10} - 18q^{11} - 3q^{12} + 13q^{13} - 8q^{14} + 3q^{15} - 3q^{16} - 6q^{17} + 3q^{18} + 4q^{19} + 3q^{20} - 3q^{21} - 4q^{22} - 23q^{23} - 30q^{24} - 3q^{25} + 9q^{26} - 3q^{27} + 8q^{28} + 18q^{29} - 3q^{30} - 8q^{31} + 3q^{32} + 4q^{33} - 5q^{34} + 3q^{35} - 3q^{36} - 32q^{37} - 15q^{38} + 13q^{39} - 3q^{40} + 35q^{41} + 3q^{42} + 48q^{43} - 18q^{44} - 30q^{45} + q^{46} + 8q^{47} - 3q^{48} - 11q^{49} + 3q^{50} + 27q^{51} + 2q^{52} + 26q^{53} + 3q^{54} - 4q^{55} - 8q^{56} - 29q^{57} - 7q^{58} + 55q^{59} + 3q^{60} + 21q^{61} + 8q^{62} - 3q^{63} - 3q^{64} - 2q^{65} + 7q^{66} + 4q^{67} - 28q^{68} - 45q^{69} - 14q^{70} - 41q^{71} + 3q^{72} - 39q^{73} + 32q^{74} - 3q^{75} + 4q^{76} - 33q^{77} - 2q^{78} + 18q^{79} + 3q^{80} - 3q^{81} + 31q^{82} - 85q^{83} - 3q^{84} - 5q^{85} + 40q^{86} + 18q^{87} - 15q^{88} + 43q^{89} - 3q^{90} + 38q^{91} + 10q^{92} + 36q^{93} - 19q^{94} - 15q^{95} + 3q^{96} + 43q^{97} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{7}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.654861 + 0.755750i 0.463056 + 0.534396i
\(3\) 0.841254 + 0.540641i 0.485698 + 0.312139i
\(4\) −0.142315 + 0.989821i −0.0711574 + 0.494911i
\(5\) −0.415415 + 0.909632i −0.185779 + 0.406800i
\(6\) 0.142315 + 0.989821i 0.0580998 + 0.404093i
\(7\) 1.94609 + 0.571424i 0.735553 + 0.215978i 0.627991 0.778221i \(-0.283877\pi\)
0.107562 + 0.994198i \(0.465696\pi\)
\(8\) −0.841254 + 0.540641i −0.297428 + 0.191145i
\(9\) 0.415415 + 0.909632i 0.138472 + 0.303211i
\(10\) −0.959493 + 0.281733i −0.303418 + 0.0890917i
\(11\) −3.23188 + 3.72979i −0.974448 + 1.12457i 0.0177430 + 0.999843i \(0.494352\pi\)
−0.992191 + 0.124730i \(0.960194\pi\)
\(12\) −0.654861 + 0.755750i −0.189042 + 0.218166i
\(13\) 6.08173 1.78576i 1.68677 0.495280i 0.709044 0.705165i \(-0.249127\pi\)
0.977726 + 0.209884i \(0.0673088\pi\)
\(14\) 0.842565 + 1.84496i 0.225185 + 0.493086i
\(15\) −0.841254 + 0.540641i −0.217211 + 0.139593i
\(16\) −0.959493 0.281733i −0.239873 0.0704331i
\(17\) −0.738737 5.13803i −0.179170 1.24616i −0.858689 0.512497i \(-0.828720\pi\)
0.679519 0.733658i \(-0.262189\pi\)
\(18\) −0.415415 + 0.909632i −0.0979143 + 0.214402i
\(19\) −0.914645 + 6.36150i −0.209834 + 1.45943i 0.563861 + 0.825870i \(0.309315\pi\)
−0.773695 + 0.633558i \(0.781594\pi\)
\(20\) −0.841254 0.540641i −0.188110 0.120891i
\(21\) 1.32822 + 1.53285i 0.289841 + 0.334495i
\(22\) −4.93521 −1.05219
\(23\) −4.78923 + 0.251457i −0.998624 + 0.0524323i
\(24\) −1.00000 −0.204124
\(25\) −0.654861 0.755750i −0.130972 0.151150i
\(26\) 5.33228 + 3.42685i 1.04575 + 0.672060i
\(27\) −0.142315 + 0.989821i −0.0273885 + 0.190491i
\(28\) −0.842565 + 1.84496i −0.159230 + 0.348665i
\(29\) 0.160429 + 1.11581i 0.0297910 + 0.207201i 0.999280 0.0379328i \(-0.0120773\pi\)
−0.969489 + 0.245134i \(0.921168\pi\)
\(30\) −0.959493 0.281733i −0.175179 0.0514371i
\(31\) 1.29286 0.830872i 0.232205 0.149229i −0.419365 0.907818i \(-0.637747\pi\)
0.651570 + 0.758589i \(0.274111\pi\)
\(32\) −0.415415 0.909632i −0.0734357 0.160802i
\(33\) −4.73530 + 1.39041i −0.824310 + 0.242039i
\(34\) 3.39930 3.92300i 0.582974 0.672788i
\(35\) −1.32822 + 1.53285i −0.224510 + 0.259099i
\(36\) −0.959493 + 0.281733i −0.159915 + 0.0469554i
\(37\) 3.68615 + 8.07155i 0.606000 + 1.32695i 0.925276 + 0.379293i \(0.123833\pi\)
−0.319277 + 0.947662i \(0.603440\pi\)
\(38\) −5.40667 + 3.47465i −0.877077 + 0.563663i
\(39\) 6.08173 + 1.78576i 0.973857 + 0.285950i
\(40\) −0.142315 0.989821i −0.0225020 0.156505i
\(41\) 2.21966 4.86037i 0.346652 0.759062i −0.653346 0.757059i \(-0.726635\pi\)
0.999998 0.00200255i \(-0.000637431\pi\)
\(42\) −0.288650 + 2.00760i −0.0445396 + 0.309780i
\(43\) −6.99089 4.49277i −1.06610 0.685141i −0.114795 0.993389i \(-0.536621\pi\)
−0.951306 + 0.308248i \(0.900257\pi\)
\(44\) −3.23188 3.72979i −0.487224 0.562286i
\(45\) −1.00000 −0.149071
\(46\) −3.32632 3.45479i −0.490439 0.509381i
\(47\) 11.5747 1.68834 0.844172 0.536072i \(-0.180092\pi\)
0.844172 + 0.536072i \(0.180092\pi\)
\(48\) −0.654861 0.755750i −0.0945210 0.109083i
\(49\) −2.42803 1.56040i −0.346862 0.222915i
\(50\) 0.142315 0.989821i 0.0201264 0.139982i
\(51\) 2.15636 4.72178i 0.301951 0.661181i
\(52\) 0.902061 + 6.27397i 0.125093 + 0.870043i
\(53\) 2.01899 + 0.592829i 0.277330 + 0.0814314i 0.417440 0.908705i \(-0.362927\pi\)
−0.140110 + 0.990136i \(0.544746\pi\)
\(54\) −0.841254 + 0.540641i −0.114480 + 0.0735719i
\(55\) −2.05016 4.48923i −0.276444 0.605327i
\(56\) −1.94609 + 0.571424i −0.260057 + 0.0763597i
\(57\) −4.20873 + 4.85714i −0.557461 + 0.643344i
\(58\) −0.738214 + 0.851945i −0.0969323 + 0.111866i
\(59\) 1.34640 0.395340i 0.175287 0.0514689i −0.192911 0.981216i \(-0.561793\pi\)
0.368198 + 0.929747i \(0.379975\pi\)
\(60\) −0.415415 0.909632i −0.0536298 0.117433i
\(61\) 0.181974 0.116948i 0.0232994 0.0149736i −0.528939 0.848660i \(-0.677410\pi\)
0.552239 + 0.833686i \(0.313774\pi\)
\(62\) 1.47458 + 0.432975i 0.187271 + 0.0549878i
\(63\) 0.288650 + 2.00760i 0.0363665 + 0.252934i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) −0.902061 + 6.27397i −0.111887 + 0.778190i
\(66\) −4.15177 2.66818i −0.511047 0.328430i
\(67\) 2.92544 + 3.37614i 0.357400 + 0.412461i 0.905767 0.423777i \(-0.139296\pi\)
−0.548367 + 0.836238i \(0.684750\pi\)
\(68\) 5.19087 0.629485
\(69\) −4.16491 2.37772i −0.501396 0.286243i
\(70\) −2.02825 −0.242422
\(71\) −10.1035 11.6600i −1.19906 1.38379i −0.903569 0.428443i \(-0.859062\pi\)
−0.295491 0.955346i \(-0.595483\pi\)
\(72\) −0.841254 0.540641i −0.0991427 0.0637151i
\(73\) 0.620858 4.31816i 0.0726659 0.505403i −0.920688 0.390300i \(-0.872371\pi\)
0.993354 0.115103i \(-0.0367197\pi\)
\(74\) −3.68615 + 8.07155i −0.428507 + 0.938299i
\(75\) −0.142315 0.989821i −0.0164331 0.114295i
\(76\) −6.16658 1.81067i −0.707355 0.207698i
\(77\) −8.42081 + 5.41173i −0.959641 + 0.616724i
\(78\) 2.63310 + 5.76569i 0.298140 + 0.652836i
\(79\) 14.8120 4.34918i 1.66647 0.489321i 0.693543 0.720415i \(-0.256049\pi\)
0.972931 + 0.231094i \(0.0742304\pi\)
\(80\) 0.654861 0.755750i 0.0732157 0.0844954i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 5.12679 1.50536i 0.566159 0.166239i
\(83\) 0.0838378 + 0.183579i 0.00920239 + 0.0201504i 0.914177 0.405314i \(-0.132838\pi\)
−0.904975 + 0.425465i \(0.860111\pi\)
\(84\) −1.70627 + 1.09655i −0.186169 + 0.119644i
\(85\) 4.98060 + 1.46244i 0.540222 + 0.158623i
\(86\) −1.18265 8.22550i −0.127528 0.886979i
\(87\) −0.468291 + 1.02541i −0.0502060 + 0.109936i
\(88\) 0.702354 4.88498i 0.0748712 0.520741i
\(89\) 7.42991 + 4.77491i 0.787568 + 0.506140i 0.871538 0.490329i \(-0.163123\pi\)
−0.0839690 + 0.996468i \(0.526760\pi\)
\(90\) −0.654861 0.755750i −0.0690284 0.0796630i
\(91\) 12.8560 1.34768
\(92\) 0.432682 4.77627i 0.0451102 0.497961i
\(93\) 1.53683 0.159362
\(94\) 7.57982 + 8.74758i 0.781799 + 0.902244i
\(95\) −5.40667 3.47465i −0.554712 0.356492i
\(96\) 0.142315 0.989821i 0.0145249 0.101023i
\(97\) 5.87005 12.8536i 0.596013 1.30509i −0.335726 0.941960i \(-0.608982\pi\)
0.931739 0.363128i \(-0.118291\pi\)
\(98\) −0.410750 2.85683i −0.0414921 0.288584i
\(99\) −4.73530 1.39041i −0.475916 0.139741i
\(100\) 0.841254 0.540641i 0.0841254 0.0540641i
\(101\) −6.09055 13.3364i −0.606032 1.32703i −0.925255 0.379346i \(-0.876149\pi\)
0.319223 0.947680i \(-0.396578\pi\)
\(102\) 4.98060 1.46244i 0.493153 0.144803i
\(103\) 8.12109 9.37224i 0.800195 0.923474i −0.198197 0.980162i \(-0.563509\pi\)
0.998392 + 0.0566878i \(0.0180540\pi\)
\(104\) −4.15083 + 4.79031i −0.407022 + 0.469729i
\(105\) −1.94609 + 0.571424i −0.189919 + 0.0557652i
\(106\) 0.874128 + 1.91407i 0.0849028 + 0.185911i
\(107\) −1.93295 + 1.24223i −0.186866 + 0.120091i −0.630729 0.776003i \(-0.717244\pi\)
0.443863 + 0.896095i \(0.353608\pi\)
\(108\) −0.959493 0.281733i −0.0923273 0.0271097i
\(109\) 0.686723 + 4.77626i 0.0657762 + 0.457483i 0.995917 + 0.0902790i \(0.0287759\pi\)
−0.930140 + 0.367204i \(0.880315\pi\)
\(110\) 2.05016 4.48923i 0.195475 0.428031i
\(111\) −1.26282 + 8.78311i −0.119862 + 0.833656i
\(112\) −1.70627 1.09655i −0.161227 0.103615i
\(113\) 0.0161081 + 0.0185897i 0.00151532 + 0.00174877i 0.756507 0.653986i \(-0.226904\pi\)
−0.754991 + 0.655735i \(0.772359\pi\)
\(114\) −6.42692 −0.601936
\(115\) 1.76079 4.46090i 0.164194 0.415981i
\(116\) −1.12728 −0.104666
\(117\) 4.15083 + 4.79031i 0.383744 + 0.442864i
\(118\) 1.18049 + 0.758652i 0.108672 + 0.0698396i
\(119\) 1.49834 10.4212i 0.137353 0.955310i
\(120\) 0.415415 0.909632i 0.0379220 0.0830377i
\(121\) −1.90080 13.2204i −0.172800 1.20185i
\(122\) 0.207551 + 0.0609425i 0.0187908 + 0.00551747i
\(123\) 4.49501 2.88877i 0.405301 0.260471i
\(124\) 0.638421 + 1.39795i 0.0573319 + 0.125539i
\(125\) 0.959493 0.281733i 0.0858197 0.0251989i
\(126\) −1.32822 + 1.53285i −0.118327 + 0.136557i
\(127\) −12.6249 + 14.5699i −1.12028 + 1.29287i −0.168630 + 0.985679i \(0.553934\pi\)
−0.951648 + 0.307191i \(0.900611\pi\)
\(128\) 0.959493 0.281733i 0.0848080 0.0249019i
\(129\) −3.45214 7.55912i −0.303944 0.665544i
\(130\) −5.33228 + 3.42685i −0.467672 + 0.300554i
\(131\) 4.27008 + 1.25381i 0.373078 + 0.109546i 0.462896 0.886413i \(-0.346810\pi\)
−0.0898178 + 0.995958i \(0.528628\pi\)
\(132\) −0.702354 4.88498i −0.0611321 0.425183i
\(133\) −5.41509 + 11.8574i −0.469548 + 1.02817i
\(134\) −0.635759 + 4.42180i −0.0549212 + 0.381986i
\(135\) −0.841254 0.540641i −0.0724036 0.0465310i
\(136\) 3.39930 + 3.92300i 0.291487 + 0.336394i
\(137\) 2.56610 0.219237 0.109619 0.993974i \(-0.465037\pi\)
0.109619 + 0.993974i \(0.465037\pi\)
\(138\) −0.930476 4.70470i −0.0792074 0.400491i
\(139\) 11.2598 0.955046 0.477523 0.878619i \(-0.341535\pi\)
0.477523 + 0.878619i \(0.341535\pi\)
\(140\) −1.32822 1.53285i −0.112255 0.129549i
\(141\) 9.73726 + 6.25776i 0.820026 + 0.526998i
\(142\) 2.19569 15.2714i 0.184258 1.28154i
\(143\) −12.9949 + 28.4549i −1.08669 + 2.37952i
\(144\) −0.142315 0.989821i −0.0118596 0.0824851i
\(145\) −1.08162 0.317593i −0.0898238 0.0263746i
\(146\) 3.67002 2.35858i 0.303733 0.195198i
\(147\) −1.19897 2.62539i −0.0988898 0.216538i
\(148\) −8.51399 + 2.49993i −0.699846 + 0.205493i
\(149\) −2.93589 + 3.38819i −0.240517 + 0.277572i −0.863156 0.504938i \(-0.831515\pi\)
0.622638 + 0.782510i \(0.286061\pi\)
\(150\) 0.654861 0.755750i 0.0534692 0.0617067i
\(151\) −1.64794 + 0.483879i −0.134107 + 0.0393775i −0.348097 0.937458i \(-0.613172\pi\)
0.213990 + 0.976836i \(0.431354\pi\)
\(152\) −2.66984 5.84613i −0.216552 0.474184i
\(153\) 4.36684 2.80639i 0.353038 0.226884i
\(154\) −9.60437 2.82010i −0.773942 0.227250i
\(155\) 0.218713 + 1.52119i 0.0175675 + 0.122185i
\(156\) −2.63310 + 5.76569i −0.210817 + 0.461625i
\(157\) 1.48526 10.3302i 0.118537 0.824442i −0.840632 0.541607i \(-0.817816\pi\)
0.959169 0.282835i \(-0.0912749\pi\)
\(158\) 12.9867 + 8.34602i 1.03316 + 0.663974i
\(159\) 1.37798 + 1.59027i 0.109281 + 0.126117i
\(160\) 1.00000 0.0790569
\(161\) −9.46397 2.24732i −0.745865 0.177114i
\(162\) −1.00000 −0.0785674
\(163\) −11.3731 13.1253i −0.890813 1.02805i −0.999423 0.0339686i \(-0.989185\pi\)
0.108610 0.994084i \(-0.465360\pi\)
\(164\) 4.49501 + 2.88877i 0.351001 + 0.225575i
\(165\) 0.702354 4.88498i 0.0546782 0.380295i
\(166\) −0.0838378 + 0.183579i −0.00650707 + 0.0142485i
\(167\) 2.85180 + 19.8347i 0.220679 + 1.53486i 0.735479 + 0.677547i \(0.236957\pi\)
−0.514800 + 0.857310i \(0.672134\pi\)
\(168\) −1.94609 0.571424i −0.150144 0.0440863i
\(169\) 22.8623 14.6927i 1.75864 1.13021i
\(170\) 2.15636 + 4.72178i 0.165386 + 0.362144i
\(171\) −6.16658 + 1.81067i −0.471570 + 0.138466i
\(172\) 5.44195 6.28034i 0.414945 0.478872i
\(173\) 15.3428 17.7065i 1.16649 1.34620i 0.239595 0.970873i \(-0.422985\pi\)
0.926893 0.375326i \(-0.122469\pi\)
\(174\) −1.08162 + 0.317593i −0.0819975 + 0.0240766i
\(175\) −0.842565 1.84496i −0.0636919 0.139466i
\(176\) 4.15177 2.66818i 0.312951 0.201121i
\(177\) 1.34640 + 0.395340i 0.101202 + 0.0297156i
\(178\) 1.25692 + 8.74205i 0.0942099 + 0.655244i
\(179\) −2.14917 + 4.70603i −0.160637 + 0.351746i −0.972786 0.231704i \(-0.925570\pi\)
0.812150 + 0.583449i \(0.198297\pi\)
\(180\) 0.142315 0.989821i 0.0106075 0.0737769i
\(181\) −11.8677 7.62689i −0.882118 0.566903i 0.0193191 0.999813i \(-0.493850\pi\)
−0.901437 + 0.432911i \(0.857487\pi\)
\(182\) 8.41891 + 9.71594i 0.624051 + 0.720193i
\(183\) 0.216313 0.0159903
\(184\) 3.89301 2.80079i 0.286997 0.206477i
\(185\) −8.87343 −0.652387
\(186\) 1.00641 + 1.16146i 0.0737934 + 0.0851622i
\(187\) 21.5513 + 13.8502i 1.57598 + 1.01282i
\(188\) −1.64725 + 11.4569i −0.120138 + 0.835580i
\(189\) −0.842565 + 1.84496i −0.0612876 + 0.134201i
\(190\) −0.914645 6.36150i −0.0663554 0.461512i
\(191\) −12.7522 3.74438i −0.922715 0.270934i −0.214331 0.976761i \(-0.568757\pi\)
−0.708384 + 0.705827i \(0.750575\pi\)
\(192\) 0.841254 0.540641i 0.0607122 0.0390174i
\(193\) 1.90007 + 4.16058i 0.136770 + 0.299485i 0.965607 0.260005i \(-0.0837242\pi\)
−0.828837 + 0.559490i \(0.810997\pi\)
\(194\) 13.5582 3.98104i 0.973421 0.285822i
\(195\) −4.15083 + 4.79031i −0.297247 + 0.343041i
\(196\) 1.89007 2.18125i 0.135005 0.155804i
\(197\) 12.2974 3.61083i 0.876150 0.257261i 0.187421 0.982280i \(-0.439987\pi\)
0.688729 + 0.725019i \(0.258169\pi\)
\(198\) −2.05016 4.48923i −0.145699 0.319036i
\(199\) 3.74207 2.40488i 0.265268 0.170478i −0.401245 0.915971i \(-0.631422\pi\)
0.666513 + 0.745493i \(0.267786\pi\)
\(200\) 0.959493 + 0.281733i 0.0678464 + 0.0199215i
\(201\) 0.635759 + 4.42180i 0.0448430 + 0.311890i
\(202\) 6.09055 13.3364i 0.428530 0.938349i
\(203\) −0.325390 + 2.26314i −0.0228379 + 0.158841i
\(204\) 4.36684 + 2.80639i 0.305740 + 0.196487i
\(205\) 3.49907 + 4.03814i 0.244386 + 0.282036i
\(206\) 12.4013 0.864036
\(207\) −2.21825 4.25198i −0.154179 0.295533i
\(208\) −6.33849 −0.439495
\(209\) −20.7710 23.9710i −1.43676 1.65811i
\(210\) −1.70627 1.09655i −0.117744 0.0756694i
\(211\) 2.06155 14.3384i 0.141923 0.987097i −0.787034 0.616909i \(-0.788384\pi\)
0.928957 0.370187i \(-0.120706\pi\)
\(212\) −0.874128 + 1.91407i −0.0600353 + 0.131459i
\(213\) −2.19569 15.2714i −0.150446 1.04638i
\(214\) −2.20463 0.647339i −0.150706 0.0442512i
\(215\) 6.99089 4.49277i 0.476775 0.306405i
\(216\) −0.415415 0.909632i −0.0282654 0.0618926i
\(217\) 2.99081 0.878180i 0.203029 0.0596147i
\(218\) −3.15995 + 3.64678i −0.214019 + 0.246991i
\(219\) 2.85687 3.29701i 0.193050 0.222791i
\(220\) 4.73530 1.39041i 0.319254 0.0937414i
\(221\) −13.6681 29.9289i −0.919415 2.01324i
\(222\) −7.46480 + 4.79734i −0.501005 + 0.321976i
\(223\) −18.2019 5.34455i −1.21889 0.357898i −0.391842 0.920033i \(-0.628162\pi\)
−0.827046 + 0.562135i \(0.809980\pi\)
\(224\) −0.288650 2.00760i −0.0192862 0.134139i
\(225\) 0.415415 0.909632i 0.0276943 0.0606421i
\(226\) −0.00350062 + 0.0243473i −0.000232858 + 0.00161956i
\(227\) 2.86981 + 1.84432i 0.190476 + 0.122412i 0.632403 0.774639i \(-0.282069\pi\)
−0.441927 + 0.897051i \(0.645705\pi\)
\(228\) −4.20873 4.85714i −0.278730 0.321672i
\(229\) −2.59100 −0.171218 −0.0856090 0.996329i \(-0.527284\pi\)
−0.0856090 + 0.996329i \(0.527284\pi\)
\(230\) 4.52439 1.59055i 0.298330 0.104878i
\(231\) −10.0098 −0.658599
\(232\) −0.738214 0.851945i −0.0484661 0.0559329i
\(233\) 2.51252 + 1.61470i 0.164601 + 0.105783i 0.620348 0.784327i \(-0.286991\pi\)
−0.455747 + 0.890109i \(0.650628\pi\)
\(234\) −0.902061 + 6.27397i −0.0589696 + 0.410142i
\(235\) −4.80831 + 10.5287i −0.313659 + 0.686818i
\(236\) 0.199703 + 1.38896i 0.0129995 + 0.0904138i
\(237\) 14.8120 + 4.34918i 0.962140 + 0.282510i
\(238\) 8.85703 5.69207i 0.574116 0.368962i
\(239\) 3.64261 + 7.97620i 0.235621 + 0.515938i 0.990096 0.140391i \(-0.0448358\pi\)
−0.754475 + 0.656328i \(0.772109\pi\)
\(240\) 0.959493 0.281733i 0.0619350 0.0181858i
\(241\) −14.0577 + 16.2235i −0.905536 + 1.04504i 0.0932427 + 0.995643i \(0.470277\pi\)
−0.998779 + 0.0494012i \(0.984269\pi\)
\(242\) 8.74654 10.0940i 0.562249 0.648870i
\(243\) −0.959493 + 0.281733i −0.0615515 + 0.0180732i
\(244\) 0.0898597 + 0.196765i 0.00575268 + 0.0125966i
\(245\) 2.42803 1.56040i 0.155121 0.0996905i
\(246\) 5.12679 + 1.50536i 0.326872 + 0.0959783i
\(247\) 5.79747 + 40.3223i 0.368884 + 2.56565i
\(248\) −0.638421 + 1.39795i −0.0405398 + 0.0887698i
\(249\) −0.0287215 + 0.199763i −0.00182015 + 0.0126594i
\(250\) 0.841254 + 0.540641i 0.0532055 + 0.0341931i
\(251\) 13.3919 + 15.4551i 0.845290 + 0.975517i 0.999922 0.0124555i \(-0.00396482\pi\)
−0.154633 + 0.987972i \(0.549419\pi\)
\(252\) −2.02825 −0.127768
\(253\) 14.5403 18.6755i 0.914143 1.17412i
\(254\) −19.2787 −1.20966
\(255\) 3.39930 + 3.92300i 0.212872 + 0.245668i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) −3.18229 + 22.1333i −0.198506 + 1.38064i 0.610116 + 0.792312i \(0.291123\pi\)
−0.808622 + 0.588328i \(0.799786\pi\)
\(258\) 3.45214 7.55912i 0.214921 0.470610i
\(259\) 2.56131 + 17.8143i 0.159152 + 1.10693i
\(260\) −6.08173 1.78576i −0.377173 0.110748i
\(261\) −0.948332 + 0.609456i −0.0587003 + 0.0377244i
\(262\) 1.84874 + 4.04818i 0.114216 + 0.250097i
\(263\) −18.6216 + 5.46780i −1.14826 + 0.337159i −0.799859 0.600187i \(-0.795093\pi\)
−0.348399 + 0.937346i \(0.613275\pi\)
\(264\) 3.23188 3.72979i 0.198908 0.229552i
\(265\) −1.37798 + 1.59027i −0.0846484 + 0.0976895i
\(266\) −12.5074 + 3.67249i −0.766875 + 0.225175i
\(267\) 3.66892 + 8.03382i 0.224534 + 0.491662i
\(268\) −3.75811 + 2.41519i −0.229563 + 0.147531i
\(269\) −29.1131 8.54839i −1.77506 0.521205i −0.780480 0.625181i \(-0.785025\pi\)
−0.994580 + 0.103976i \(0.966843\pi\)
\(270\) −0.142315 0.989821i −0.00866101 0.0602386i
\(271\) 7.09375 15.5331i 0.430914 0.943571i −0.562263 0.826958i \(-0.690069\pi\)
0.993177 0.116613i \(-0.0372036\pi\)
\(272\) −0.738737 + 5.13803i −0.0447925 + 0.311539i
\(273\) 10.8152 + 6.95049i 0.654564 + 0.420663i
\(274\) 1.68044 + 1.93933i 0.101519 + 0.117159i
\(275\) 4.93521 0.297605
\(276\) 2.94624 3.78413i 0.177343 0.227778i
\(277\) −9.69805 −0.582700 −0.291350 0.956617i \(-0.594104\pi\)
−0.291350 + 0.956617i \(0.594104\pi\)
\(278\) 7.37362 + 8.50961i 0.442240 + 0.510372i
\(279\) 1.29286 + 0.830872i 0.0774016 + 0.0497430i
\(280\) 0.288650 2.00760i 0.0172501 0.119977i
\(281\) 0.900686 1.97223i 0.0537304 0.117653i −0.880863 0.473372i \(-0.843037\pi\)
0.934593 + 0.355719i \(0.115764\pi\)
\(282\) 1.64725 + 11.4569i 0.0980925 + 0.682248i
\(283\) 5.96710 + 1.75210i 0.354707 + 0.104151i 0.454231 0.890884i \(-0.349914\pi\)
−0.0995244 + 0.995035i \(0.531732\pi\)
\(284\) 12.9792 8.34123i 0.770174 0.494961i
\(285\) −2.66984 5.84613i −0.158148 0.346295i
\(286\) −30.0147 + 8.81310i −1.77480 + 0.521129i
\(287\) 7.09698 8.19035i 0.418921 0.483461i
\(288\) 0.654861 0.755750i 0.0385880 0.0445330i
\(289\) −9.54226 + 2.80186i −0.561309 + 0.164815i
\(290\) −0.468291 1.02541i −0.0274990 0.0602144i
\(291\) 11.8874 7.63956i 0.696851 0.447839i
\(292\) 4.18585 + 1.22908i 0.244958 + 0.0719263i
\(293\) 4.43061 + 30.8156i 0.258839 + 1.80027i 0.541131 + 0.840938i \(0.317996\pi\)
−0.282292 + 0.959329i \(0.591095\pi\)
\(294\) 1.19897 2.62539i 0.0699256 0.153116i
\(295\) −0.199703 + 1.38896i −0.0116271 + 0.0808685i
\(296\) −7.46480 4.79734i −0.433883 0.278839i
\(297\) −3.23188 3.72979i −0.187533 0.216424i
\(298\) −4.48322 −0.259706
\(299\) −28.6778 + 10.0817i −1.65848 + 0.583040i
\(300\) 1.00000 0.0577350
\(301\) −11.0376 12.7381i −0.636198 0.734212i
\(302\) −1.44486 0.928557i −0.0831425 0.0534324i
\(303\) 2.08653 14.5121i 0.119868 0.833700i
\(304\) 2.66984 5.84613i 0.153126 0.335298i
\(305\) 0.0307846 + 0.214111i 0.00176272 + 0.0122600i
\(306\) 4.98060 + 1.46244i 0.284722 + 0.0836019i
\(307\) −8.66626 + 5.56947i −0.494610 + 0.317866i −0.764057 0.645149i \(-0.776795\pi\)
0.269447 + 0.963015i \(0.413159\pi\)
\(308\) −4.15824 9.10527i −0.236938 0.518821i
\(309\) 11.8989 3.49384i 0.676906 0.198757i
\(310\) −1.00641 + 1.16146i −0.0571602 + 0.0659663i
\(311\) −10.9479 + 12.6345i −0.620797 + 0.716438i −0.975858 0.218405i \(-0.929915\pi\)
0.355061 + 0.934843i \(0.384460\pi\)
\(312\) −6.08173 + 1.78576i −0.344310 + 0.101099i
\(313\) −12.9306 28.3141i −0.730882 1.60041i −0.797995 0.602663i \(-0.794106\pi\)
0.0671133 0.997745i \(-0.478621\pi\)
\(314\) 8.77971 5.64238i 0.495468 0.318418i
\(315\) −1.94609 0.571424i −0.109650 0.0321961i
\(316\) 2.19695 + 15.2801i 0.123588 + 0.859575i
\(317\) 6.30373 13.8032i 0.354053 0.775267i −0.645878 0.763441i \(-0.723508\pi\)
0.999930 0.0118259i \(-0.00376438\pi\)
\(318\) −0.299463 + 2.08281i −0.0167930 + 0.116798i
\(319\) −4.68022 3.00780i −0.262042 0.168404i
\(320\) 0.654861 + 0.755750i 0.0366078 + 0.0422477i
\(321\) −2.29771 −0.128245
\(322\) −4.49917 8.62408i −0.250729 0.480601i
\(323\) 33.3613 1.85627
\(324\) −0.654861 0.755750i −0.0363812 0.0419861i
\(325\) −5.33228 3.42685i −0.295781 0.190087i
\(326\) 2.47162 17.1905i 0.136890 0.952093i
\(327\) −2.00454 + 4.38932i −0.110851 + 0.242730i
\(328\) 0.760420 + 5.28884i 0.0419872 + 0.292027i
\(329\) 22.5254 + 6.61406i 1.24187 + 0.364645i
\(330\) 4.15177 2.66818i 0.228547 0.146878i
\(331\) 6.19164 + 13.5578i 0.340323 + 0.745204i 0.999980 0.00636315i \(-0.00202547\pi\)
−0.659656 + 0.751567i \(0.729298\pi\)
\(332\) −0.193642 + 0.0568584i −0.0106275 + 0.00312051i
\(333\) −5.81086 + 6.70609i −0.318433 + 0.367491i
\(334\) −13.1226 + 15.1442i −0.718034 + 0.828656i
\(335\) −4.28632 + 1.25858i −0.234187 + 0.0687634i
\(336\) −0.842565 1.84496i −0.0459657 0.100651i
\(337\) −26.5698 + 17.0754i −1.44735 + 0.930157i −0.448005 + 0.894031i \(0.647865\pi\)
−0.999347 + 0.0361254i \(0.988498\pi\)
\(338\) 26.0756 + 7.65649i 1.41833 + 0.416458i
\(339\) 0.00350062 + 0.0243473i 0.000190127 + 0.00132237i
\(340\) −2.15636 + 4.72178i −0.116945 + 0.256074i
\(341\) −1.07940 + 7.50737i −0.0584527 + 0.406547i
\(342\) −5.40667 3.47465i −0.292359 0.187888i
\(343\) −13.1311 15.1541i −0.709011 0.818242i
\(344\) 8.31009 0.448050
\(345\) 3.89301 2.80079i 0.209593 0.150790i
\(346\) 23.4290 1.25955
\(347\) 2.47626 + 2.85776i 0.132933 + 0.153412i 0.818313 0.574773i \(-0.194910\pi\)
−0.685380 + 0.728185i \(0.740364\pi\)
\(348\) −0.948332 0.609456i −0.0508359 0.0326703i
\(349\) −3.18772 + 22.1711i −0.170635 + 1.18679i 0.706913 + 0.707300i \(0.250087\pi\)
−0.877548 + 0.479489i \(0.840822\pi\)
\(350\) 0.842565 1.84496i 0.0450370 0.0986172i
\(351\) 0.902061 + 6.27397i 0.0481485 + 0.334880i
\(352\) 4.73530 + 1.39041i 0.252392 + 0.0741091i
\(353\) −8.38169 + 5.38659i −0.446112 + 0.286699i −0.744346 0.667794i \(-0.767239\pi\)
0.298234 + 0.954493i \(0.403602\pi\)
\(354\) 0.582929 + 1.27644i 0.0309823 + 0.0678419i
\(355\) 14.8034 4.34668i 0.785685 0.230698i
\(356\) −5.78369 + 6.67474i −0.306535 + 0.353761i
\(357\) 6.89461 7.95681i 0.364902 0.421119i
\(358\) −4.96399 + 1.45756i −0.262355 + 0.0770344i
\(359\) 0.735189 + 1.60984i 0.0388018 + 0.0849640i 0.928040 0.372480i \(-0.121492\pi\)
−0.889239 + 0.457444i \(0.848765\pi\)
\(360\) 0.841254 0.540641i 0.0443380 0.0284943i
\(361\) −21.4017 6.28411i −1.12641 0.330743i
\(362\) −2.00766 13.9635i −0.105520 0.733908i
\(363\) 5.54842 12.1493i 0.291217 0.637675i
\(364\) −1.82960 + 12.7252i −0.0958973 + 0.666980i
\(365\) 3.67002 + 2.35858i 0.192098 + 0.123454i
\(366\) 0.141655 + 0.163479i 0.00740442 + 0.00854516i
\(367\) −17.0427 −0.889624 −0.444812 0.895624i \(-0.646729\pi\)
−0.444812 + 0.895624i \(0.646729\pi\)
\(368\) 4.66608 + 1.10801i 0.243236 + 0.0577591i
\(369\) 5.34322 0.278157
\(370\) −5.81086 6.70609i −0.302092 0.348633i
\(371\) 3.59038 + 2.30740i 0.186403 + 0.119794i
\(372\) −0.218713 + 1.52119i −0.0113398 + 0.0788698i
\(373\) −12.5716 + 27.5279i −0.650931 + 1.42534i 0.239807 + 0.970821i \(0.422916\pi\)
−0.890737 + 0.454519i \(0.849811\pi\)
\(374\) 3.64583 + 25.3573i 0.188521 + 1.31119i
\(375\) 0.959493 + 0.281733i 0.0495480 + 0.0145486i
\(376\) −9.73726 + 6.25776i −0.502161 + 0.322719i
\(377\) 2.96826 + 6.49957i 0.152873 + 0.334745i
\(378\) −1.94609 + 0.571424i −0.100096 + 0.0293909i
\(379\) −18.6727 + 21.5495i −0.959153 + 1.10692i 0.0350481 + 0.999386i \(0.488842\pi\)
−0.994201 + 0.107536i \(0.965704\pi\)
\(380\) 4.20873 4.85714i 0.215904 0.249166i
\(381\) −18.4978 + 5.43145i −0.947672 + 0.278262i
\(382\) −5.52109 12.0895i −0.282483 0.618552i
\(383\) −19.1266 + 12.2919i −0.977323 + 0.628087i −0.928740 0.370732i \(-0.879107\pi\)
−0.0485829 + 0.998819i \(0.515471\pi\)
\(384\) 0.959493 + 0.281733i 0.0489639 + 0.0143771i
\(385\) −1.42455 9.90795i −0.0726017 0.504956i
\(386\) −1.90007 + 4.16058i −0.0967112 + 0.211768i
\(387\) 1.18265 8.22550i 0.0601174 0.418126i
\(388\) 11.8874 + 7.63956i 0.603491 + 0.387840i
\(389\) −5.92628 6.83929i −0.300474 0.346766i 0.585355 0.810777i \(-0.300955\pi\)
−0.885829 + 0.464011i \(0.846410\pi\)
\(390\) −6.33849 −0.320962
\(391\) 4.82998 + 24.4215i 0.244263 + 1.23505i
\(392\) 2.88621 0.145776
\(393\) 2.91436 + 3.36335i 0.147010 + 0.169658i
\(394\) 10.7819 + 6.92913i 0.543186 + 0.349085i
\(395\) −2.19695 + 15.2801i −0.110541 + 0.768827i
\(396\) 2.05016 4.48923i 0.103025 0.225592i
\(397\) 0.370615 + 2.57769i 0.0186007 + 0.129370i 0.997006 0.0773254i \(-0.0246380\pi\)
−0.978405 + 0.206696i \(0.933729\pi\)
\(398\) 4.26802 + 1.25320i 0.213937 + 0.0628175i
\(399\) −10.9661 + 7.04746i −0.548990 + 0.352814i
\(400\) 0.415415 + 0.909632i 0.0207708 + 0.0454816i
\(401\) 5.58308 1.63934i 0.278806 0.0818647i −0.139340 0.990245i \(-0.544498\pi\)
0.418146 + 0.908380i \(0.362680\pi\)
\(402\) −2.92544 + 3.37614i −0.145908 + 0.168387i
\(403\) 6.37911 7.36188i 0.317766 0.366722i
\(404\) 14.0675 4.13058i 0.699883 0.205504i
\(405\) −0.415415 0.909632i −0.0206421 0.0452000i
\(406\) −1.92345 + 1.23613i −0.0954593 + 0.0613480i
\(407\) −42.0184 12.3377i −2.08277 0.611557i
\(408\) 0.738737 + 5.13803i 0.0365730 + 0.254370i
\(409\) 6.22402 13.6287i 0.307758 0.673896i −0.691045 0.722812i \(-0.742849\pi\)
0.998803 + 0.0489159i \(0.0155766\pi\)
\(410\) −0.760420 + 5.28884i −0.0375545 + 0.261197i
\(411\) 2.15874 + 1.38734i 0.106483 + 0.0684325i
\(412\) 8.12109 + 9.37224i 0.400098 + 0.461737i
\(413\) 2.84613 0.140049
\(414\) 1.76079 4.46090i 0.0865380 0.219241i
\(415\) −0.201817 −0.00990680
\(416\) −4.15083 4.79031i −0.203511 0.234864i
\(417\) 9.47237 + 6.08752i 0.463864 + 0.298107i
\(418\) 4.51397 31.3954i 0.220786 1.53560i
\(419\) 13.6720 29.9374i 0.667919 1.46254i −0.207036 0.978333i \(-0.566382\pi\)
0.874955 0.484205i \(-0.160891\pi\)
\(420\) −0.288650 2.00760i −0.0140847 0.0979610i
\(421\) −23.1925 6.80993i −1.13033 0.331896i −0.337495 0.941327i \(-0.609580\pi\)
−0.792839 + 0.609432i \(0.791398\pi\)
\(422\) 12.1863 7.83164i 0.593219 0.381238i
\(423\) 4.80831 + 10.5287i 0.233788 + 0.511924i
\(424\) −2.01899 + 0.592829i −0.0980509 + 0.0287903i
\(425\) −3.39930 + 3.92300i −0.164890 + 0.190293i
\(426\) 10.1035 11.6600i 0.489514 0.564929i
\(427\) 0.420965 0.123606i 0.0203719 0.00598173i
\(428\) −0.954502 2.09007i −0.0461376 0.101027i
\(429\) −26.3159 + 16.9122i −1.27054 + 0.816529i
\(430\) 7.97347 + 2.34122i 0.384515 + 0.112904i
\(431\) −0.827633 5.75631i −0.0398657 0.277272i 0.960132 0.279548i \(-0.0901846\pi\)
−0.999997 + 0.00227612i \(0.999275\pi\)
\(432\) 0.415415 0.909632i 0.0199867 0.0437647i
\(433\) −4.53705 + 31.5559i −0.218037 + 1.51648i 0.527237 + 0.849718i \(0.323228\pi\)
−0.745273 + 0.666759i \(0.767681\pi\)
\(434\) 2.62225 + 1.68521i 0.125872 + 0.0808929i
\(435\) −0.738214 0.851945i −0.0353947 0.0408476i
\(436\) −4.82538 −0.231094
\(437\) 2.78081 30.6967i 0.133024 1.46842i
\(438\) 4.36257 0.208451
\(439\) −20.7506 23.9475i −0.990373 1.14295i −0.989730 0.142951i \(-0.954341\pi\)
−0.000643090 1.00000i \(-0.500205\pi\)
\(440\) 4.15177 + 2.66818i 0.197928 + 0.127200i
\(441\) 0.410750 2.85683i 0.0195595 0.136040i
\(442\) 13.6681 29.9289i 0.650125 1.42357i
\(443\) 3.41850 + 23.7762i 0.162418 + 1.12964i 0.894058 + 0.447950i \(0.147846\pi\)
−0.731641 + 0.681691i \(0.761245\pi\)
\(444\) −8.51399 2.49993i −0.404056 0.118642i
\(445\) −7.42991 + 4.77491i −0.352211 + 0.226352i
\(446\) −7.88055 17.2560i −0.373155 0.817095i
\(447\) −4.30162 + 1.26307i −0.203460 + 0.0597412i
\(448\) 1.32822 1.53285i 0.0627525 0.0724202i
\(449\) 16.5641 19.1160i 0.781707 0.902138i −0.215524 0.976499i \(-0.569146\pi\)
0.997231 + 0.0743601i \(0.0236914\pi\)
\(450\) 0.959493 0.281733i 0.0452309 0.0132810i
\(451\) 10.9545 + 23.9870i 0.515826 + 1.12950i
\(452\) −0.0206929 + 0.0132985i −0.000973312 + 0.000625510i
\(453\) −1.64794 0.483879i −0.0774270 0.0227346i
\(454\) 0.485486 + 3.37663i 0.0227850 + 0.158473i
\(455\) −5.34059 + 11.6943i −0.250371 + 0.548235i
\(456\) 0.914645 6.36150i 0.0428322 0.297904i
\(457\) 16.6349 + 10.6906i 0.778148 + 0.500086i 0.868419 0.495832i \(-0.165137\pi\)
−0.0902703 + 0.995917i \(0.528773\pi\)
\(458\) −1.69674 1.95815i −0.0792836 0.0914982i
\(459\) 5.19087 0.242289
\(460\) 4.16491 + 2.37772i 0.194190 + 0.110862i
\(461\) −23.1599 −1.07866 −0.539332 0.842093i \(-0.681323\pi\)
−0.539332 + 0.842093i \(0.681323\pi\)
\(462\) −6.55505 7.56493i −0.304969 0.351952i
\(463\) 27.3622 + 17.5846i 1.27163 + 0.817227i 0.989831 0.142246i \(-0.0454324\pi\)
0.281799 + 0.959473i \(0.409069\pi\)
\(464\) 0.160429 1.11581i 0.00744774 0.0518002i
\(465\) −0.638421 + 1.39795i −0.0296061 + 0.0648283i
\(466\) 0.425044 + 2.95624i 0.0196898 + 0.136945i
\(467\) −24.3801 7.15864i −1.12818 0.331262i −0.336185 0.941796i \(-0.609137\pi\)
−0.791990 + 0.610533i \(0.790955\pi\)
\(468\) −5.33228 + 3.42685i −0.246485 + 0.158406i
\(469\) 3.76397 + 8.24194i 0.173804 + 0.380577i
\(470\) −11.1059 + 3.26097i −0.512275 + 0.150417i
\(471\) 6.83443 7.88735i 0.314914 0.363430i
\(472\) −0.918930 + 1.06050i −0.0422972 + 0.0488136i
\(473\) 39.3508 11.5544i 1.80935 0.531273i
\(474\) 6.41287 + 14.0422i 0.294553 + 0.644981i
\(475\) 5.40667 3.47465i 0.248075 0.159428i
\(476\) 10.1019 + 2.96618i 0.463020 + 0.135955i
\(477\) 0.299463 + 2.08281i 0.0137115 + 0.0953653i
\(478\) −3.64261 + 7.97620i −0.166609 + 0.364823i
\(479\) 1.53819 10.6984i 0.0702819 0.488821i −0.924031 0.382319i \(-0.875126\pi\)
0.994312 0.106503i \(-0.0339653\pi\)
\(480\) 0.841254 + 0.540641i 0.0383978 + 0.0246768i
\(481\) 36.8321 + 42.5065i 1.67940 + 1.93813i
\(482\) −21.4667 −0.977782
\(483\) −6.74660 7.00718i −0.306981 0.318838i
\(484\) 13.3563 0.607106
\(485\) 9.25356 + 10.6792i 0.420182 + 0.484916i
\(486\) −0.841254 0.540641i −0.0381600 0.0245240i
\(487\) 3.75954 26.1482i 0.170361 1.18489i −0.707761 0.706452i \(-0.750295\pi\)
0.878122 0.478436i \(-0.158796\pi\)
\(488\) −0.0898597 + 0.196765i −0.00406776 + 0.00890715i
\(489\) −2.47162 17.1905i −0.111770 0.777381i
\(490\) 2.76930 + 0.813139i 0.125104 + 0.0367339i
\(491\) 25.7769 16.5658i 1.16330 0.747605i 0.191054 0.981580i \(-0.438810\pi\)
0.972243 + 0.233974i \(0.0751731\pi\)
\(492\) 2.21966 + 4.86037i 0.100070 + 0.219122i
\(493\) 5.61455 1.64858i 0.252867 0.0742484i
\(494\) −26.6770 + 30.7869i −1.20026 + 1.38517i
\(495\) 3.23188 3.72979i 0.145262 0.167641i
\(496\) −1.47458 + 0.432975i −0.0662104 + 0.0194411i
\(497\) −12.9994 28.4648i −0.583104 1.27682i
\(498\) −0.169779 + 0.109110i −0.00760799 + 0.00488936i
\(499\) 1.86661 + 0.548085i 0.0835608 + 0.0245357i 0.323246 0.946315i \(-0.395226\pi\)
−0.239685 + 0.970851i \(0.577044\pi\)
\(500\) 0.142315 + 0.989821i 0.00636451 + 0.0442662i
\(501\) −8.32437 + 18.2278i −0.371906 + 0.814360i
\(502\) −2.91034 + 20.2419i −0.129895 + 0.903438i
\(503\) 25.7503 + 16.5487i 1.14815 + 0.737871i 0.969270 0.246000i \(-0.0791163\pi\)
0.178880 + 0.983871i \(0.442753\pi\)
\(504\) −1.32822 1.53285i −0.0591636 0.0682785i
\(505\) 14.6614 0.652422
\(506\) 23.6359 1.24099i 1.05074 0.0551688i
\(507\) 27.1764 1.20695
\(508\) −12.6249 14.5699i −0.560139 0.646435i
\(509\) −1.10969 0.713156i −0.0491862 0.0316101i 0.515817 0.856699i \(-0.327489\pi\)
−0.565003 + 0.825089i \(0.691125\pi\)
\(510\) −0.738737 + 5.13803i −0.0327118 + 0.227516i
\(511\) 3.67574 8.04876i 0.162605 0.356056i
\(512\) 0.142315 + 0.989821i 0.00628949 + 0.0437443i
\(513\) −6.16658 1.81067i −0.272261 0.0799431i
\(514\) −18.8112 + 12.0892i −0.829727 + 0.533233i
\(515\) 5.15167 + 11.2806i 0.227010 + 0.497082i
\(516\) 7.97347 2.34122i 0.351012 0.103067i
\(517\) −37.4080 + 43.1712i −1.64520 + 1.89867i
\(518\) −11.7859 + 13.6016i −0.517841 + 0.597620i
\(519\) 22.4800 6.60072i 0.986762 0.289740i
\(520\) −2.63310 5.76569i −0.115469 0.252842i
\(521\) 5.32096 3.41958i 0.233116 0.149814i −0.418869 0.908047i \(-0.637573\pi\)
0.651984 + 0.758233i \(0.273937\pi\)
\(522\) −1.08162 0.317593i −0.0473413 0.0139007i
\(523\) −4.06702 28.2867i −0.177838 1.23689i −0.861752 0.507329i \(-0.830633\pi\)
0.683914 0.729563i \(-0.260276\pi\)
\(524\) −1.84874 + 4.04818i −0.0807626 + 0.176846i
\(525\) 0.288650 2.00760i 0.0125977 0.0876190i
\(526\) −16.3269 10.4926i −0.711885 0.457501i
\(527\) −5.22413 6.02897i −0.227567 0.262626i
\(528\) 4.93521 0.214778
\(529\) 22.8735 2.40857i 0.994502 0.104720i
\(530\) −2.10423 −0.0914018
\(531\) 0.918930 + 1.06050i 0.0398782 + 0.0460219i
\(532\) −10.9661 7.04746i −0.475439 0.305546i
\(533\) 4.81991 33.5232i 0.208774 1.45205i
\(534\) −3.66892 + 8.03382i −0.158770 + 0.347657i
\(535\) −0.326998 2.27432i −0.0141373 0.0983274i
\(536\) −4.28632 1.25858i −0.185141 0.0543622i
\(537\) −4.35227 + 2.79704i −0.187815 + 0.120701i
\(538\) −12.6046 27.6002i −0.543423 1.18993i
\(539\) 13.6671 4.01302i 0.588683 0.172853i
\(540\) 0.654861 0.755750i 0.0281807 0.0325223i
\(541\) −15.4670 + 17.8499i −0.664980 + 0.767427i −0.983582 0.180461i \(-0.942241\pi\)
0.318603 + 0.947888i \(0.396786\pi\)
\(542\) 16.3846 4.81095i 0.703778 0.206648i
\(543\) −5.86032 12.8323i −0.251490 0.550687i
\(544\) −4.36684 + 2.80639i −0.187227 + 0.120323i
\(545\) −4.62992 1.35947i −0.198324 0.0582332i
\(546\) 1.82960 + 12.7252i 0.0782998 + 0.544587i
\(547\) −1.74880 + 3.82933i −0.0747732 + 0.163730i −0.943327 0.331864i \(-0.892322\pi\)
0.868554 + 0.495594i \(0.165050\pi\)
\(548\) −0.365195 + 2.53999i −0.0156003 + 0.108503i
\(549\) 0.181974 + 0.116948i 0.00776647 + 0.00499121i
\(550\) 3.23188 + 3.72979i 0.137808 + 0.159039i
\(551\) −7.24496 −0.308646
\(552\) 4.78923 0.251457i 0.203843 0.0107027i
\(553\) 31.3106 1.33146
\(554\) −6.35087 7.32930i −0.269823 0.311392i
\(555\) −7.46480 4.79734i −0.316863 0.203636i
\(556\) −1.60244 + 11.1452i −0.0679586 + 0.472662i
\(557\) −7.61801 + 16.6811i −0.322785 + 0.706801i −0.999568 0.0293813i \(-0.990646\pi\)
0.676783 + 0.736183i \(0.263374\pi\)
\(558\) 0.218713 + 1.52119i 0.00925888 + 0.0643969i
\(559\) −50.5397 14.8398i −2.13760 0.627657i
\(560\) 1.70627 1.09655i 0.0721031 0.0463379i
\(561\) 10.6421 + 23.3030i 0.449311 + 0.983853i
\(562\) 2.08033 0.610841i 0.0877536 0.0257668i
\(563\) −12.9846 + 14.9850i −0.547236 + 0.631544i −0.960237 0.279187i \(-0.909935\pi\)
0.413001 + 0.910731i \(0.364481\pi\)
\(564\) −7.57982 + 8.74758i −0.319168 + 0.368340i
\(565\) −0.0236013 + 0.00692997i −0.000992915 + 0.000291546i
\(566\) 2.58347 + 5.65701i 0.108591 + 0.237782i
\(567\) −1.70627 + 1.09655i −0.0716566 + 0.0460509i
\(568\) 14.8034 + 4.34668i 0.621139 + 0.182383i
\(569\) −4.46490 31.0541i −0.187178 1.30185i −0.839270 0.543714i \(-0.817017\pi\)
0.652092 0.758140i \(-0.273892\pi\)
\(570\) 2.66984 5.84613i 0.111827 0.244867i
\(571\) 1.83657 12.7736i 0.0768579 0.534559i −0.914623 0.404308i \(-0.867513\pi\)
0.991481 0.130251i \(-0.0415784\pi\)
\(572\) −26.3159 16.9122i −1.10032 0.707135i
\(573\) −8.70345 10.0443i −0.363592 0.419607i
\(574\) 10.8374 0.452344
\(575\) 3.32632 + 3.45479i 0.138717 + 0.144075i
\(576\) 1.00000 0.0416667
\(577\) −1.07260 1.23785i −0.0446531 0.0515324i 0.732984 0.680246i \(-0.238127\pi\)
−0.777637 + 0.628714i \(0.783582\pi\)
\(578\) −8.36636 5.37673i −0.347995 0.223642i
\(579\) −0.650936 + 4.52736i −0.0270520 + 0.188151i
\(580\) 0.468291 1.02541i 0.0194447 0.0425780i
\(581\) 0.0582544 + 0.405168i 0.00241680 + 0.0168092i
\(582\) 13.5582 + 3.98104i 0.562005 + 0.165020i
\(583\) −8.73626 + 5.61445i −0.361819 + 0.232527i
\(584\) 1.81228 + 3.96833i 0.0749925 + 0.164211i
\(585\) −6.08173 + 1.78576i −0.251449 + 0.0738320i
\(586\) −20.3874 + 23.5284i −0.842198 + 0.971948i
\(587\) −20.5839 + 23.7550i −0.849587 + 0.980475i −0.999967 0.00815302i \(-0.997405\pi\)
0.150380 + 0.988628i \(0.451950\pi\)
\(588\) 2.76930 0.813139i 0.114204 0.0335333i
\(589\) 4.10308 + 8.98449i 0.169065 + 0.370200i
\(590\) −1.18049 + 0.758652i −0.0485998 + 0.0312332i
\(591\) 12.2974 + 3.61083i 0.505846 + 0.148530i
\(592\) −1.26282 8.78311i −0.0519016 0.360983i
\(593\) 13.9898 30.6334i 0.574492 1.25796i −0.369879 0.929080i \(-0.620601\pi\)
0.944371 0.328882i \(-0.106672\pi\)
\(594\) 0.702354 4.88498i 0.0288179 0.200433i
\(595\) 8.85703 + 5.69207i 0.363103 + 0.233352i
\(596\) −2.93589 3.38819i −0.120259 0.138786i
\(597\) 4.44821 0.182053
\(598\) −26.3992 15.0711i −1.07954 0.616304i
\(599\) −1.95186 −0.0797509 −0.0398755 0.999205i \(-0.512696\pi\)
−0.0398755 + 0.999205i \(0.512696\pi\)
\(600\) 0.654861 + 0.755750i 0.0267346 + 0.0308533i
\(601\) −12.6204 8.11063i −0.514796 0.330839i 0.257314 0.966328i \(-0.417162\pi\)
−0.772110 + 0.635488i \(0.780799\pi\)
\(602\) 2.39871 16.6834i 0.0977639 0.679963i
\(603\) −1.85577 + 4.06357i −0.0755729 + 0.165482i
\(604\) −0.244427 1.70003i −0.00994561 0.0691732i
\(605\) 12.8153 + 3.76291i 0.521016 + 0.152984i
\(606\) 12.3339 7.92653i 0.501031 0.321993i
\(607\) 9.74878 + 21.3468i 0.395691 + 0.866442i 0.997689 + 0.0679446i \(0.0216441\pi\)
−0.601998 + 0.798497i \(0.705629\pi\)
\(608\) 6.16658 1.81067i 0.250088 0.0734324i
\(609\) −1.49728 + 1.72796i −0.0606729 + 0.0700203i
\(610\) −0.141655 + 0.163479i −0.00573544 + 0.00661905i
\(611\) 70.3943 20.6696i 2.84785 0.836204i
\(612\) 2.15636 + 4.72178i 0.0871659 + 0.190867i
\(613\) 18.3115 11.7681i 0.739594 0.475308i −0.115809 0.993272i \(-0.536946\pi\)
0.855403 + 0.517963i \(0.173310\pi\)
\(614\) −9.88432 2.90230i −0.398899 0.117127i
\(615\) 0.760420 + 5.28884i 0.0306631 + 0.213267i
\(616\) 4.15824 9.10527i 0.167540 0.366862i
\(617\) 2.15387 14.9805i 0.0867114 0.603091i −0.899415 0.437096i \(-0.856007\pi\)
0.986126 0.165996i \(-0.0530838\pi\)
\(618\) 10.4326 + 6.70462i 0.419661 + 0.269700i
\(619\) 5.57499 + 6.43388i 0.224078 + 0.258599i 0.856645 0.515906i \(-0.172544\pi\)
−0.632568 + 0.774505i \(0.717999\pi\)
\(620\) −1.53683 −0.0617205
\(621\) 0.432682 4.77627i 0.0173629 0.191665i
\(622\) −16.7179 −0.670325
\(623\) 11.7308 + 13.5380i 0.469983 + 0.542390i
\(624\) −5.33228 3.42685i −0.213462 0.137184i
\(625\) −0.142315 + 0.989821i −0.00569259 + 0.0395929i
\(626\) 12.9306 28.3141i 0.516812 1.13166i
\(627\) −4.51397 31.3954i −0.180271 1.25381i
\(628\) 10.0137 + 2.94029i 0.399591 + 0.117330i
\(629\) 38.7488 24.9023i 1.54502 0.992921i
\(630\) −0.842565 1.84496i −0.0335686 0.0735049i
\(631\) 2.08293 0.611603i 0.0829201 0.0243475i −0.240009 0.970771i \(-0.577151\pi\)
0.322929 + 0.946423i \(0.395332\pi\)
\(632\) −10.1093 + 11.6667i −0.402125 + 0.464077i
\(633\) 9.48622 10.9477i 0.377043 0.435131i
\(634\) 14.5599 4.27516i 0.578246 0.169788i
\(635\) −8.00868 17.5366i −0.317815 0.695917i
\(636\) −1.77019 + 1.13763i −0.0701926 + 0.0451100i
\(637\) −17.5532 5.15407i −0.695482 0.204212i
\(638\) −0.791753 5.50676i −0.0313458 0.218015i
\(639\) 6.40919 14.0342i 0.253544 0.555183i
\(640\) −0.142315 + 0.989821i −0.00562549 + 0.0391261i
\(641\) −11.1941 7.19403i −0.442142 0.284147i 0.300568 0.953760i \(-0.402824\pi\)
−0.742710 + 0.669613i \(0.766460\pi\)
\(642\) −1.50468 1.73649i −0.0593849 0.0685338i
\(643\) −12.8431 −0.506481 −0.253241 0.967403i \(-0.581496\pi\)
−0.253241 + 0.967403i \(0.581496\pi\)
\(644\) 3.57131 9.04781i 0.140729 0.356534i
\(645\) 8.31009 0.327209
\(646\) 21.8470 + 25.2128i 0.859558 + 0.991983i
\(647\) 25.6035 + 16.4544i 1.00658 + 0.646889i 0.936505 0.350653i \(-0.114040\pi\)
0.0700730 + 0.997542i \(0.477677\pi\)
\(648\) 0.142315 0.989821i 0.00559065 0.0388839i
\(649\) −2.87688 + 6.29949i −0.112927 + 0.247277i
\(650\) −0.902061 6.27397i −0.0353817 0.246085i
\(651\) 2.99081 + 0.878180i 0.117219 + 0.0344186i
\(652\) 14.6103 9.38945i 0.572182 0.367719i
\(653\) −5.58791 12.2358i −0.218672 0.478824i 0.768224 0.640181i \(-0.221140\pi\)
−0.986896 + 0.161356i \(0.948413\pi\)
\(654\) −4.62992 + 1.35947i −0.181044 + 0.0531594i
\(655\) −2.91436 + 3.36335i −0.113873 + 0.131417i
\(656\) −3.49907 + 4.03814i −0.136616 + 0.157663i
\(657\) 4.18585 1.22908i 0.163306 0.0479509i
\(658\) 9.75244 + 21.3549i 0.380190 + 0.832499i
\(659\) −6.21226 + 3.99238i −0.241995 + 0.155521i −0.656017 0.754746i \(-0.727760\pi\)
0.414022 + 0.910267i \(0.364124\pi\)
\(660\) 4.73530 + 1.39041i 0.184321 + 0.0541216i
\(661\) −4.27448 29.7296i −0.166258 1.15635i −0.886535 0.462662i \(-0.846894\pi\)
0.720277 0.693687i \(-0.244015\pi\)
\(662\) −6.19164 + 13.5578i −0.240645 + 0.526939i
\(663\) 4.68248 32.5674i 0.181852 1.26481i
\(664\) −0.169779 0.109110i −0.00658871 0.00423431i
\(665\) −8.53636 9.85148i −0.331026 0.382024i
\(666\) −8.87343 −0.343838
\(667\) −1.04891 5.30354i −0.0406140 0.205354i
\(668\) −20.0387 −0.775320
\(669\) −12.4229 14.3368i −0.480297 0.554293i
\(670\) −3.75811 2.41519i −0.145188 0.0933069i
\(671\) −0.151928 + 1.05669i −0.00586513 + 0.0407929i
\(672\) 0.842565 1.84496i 0.0325026 0.0711709i
\(673\) −1.13804 7.91521i −0.0438680 0.305109i −0.999929 0.0119401i \(-0.996199\pi\)
0.956061 0.293169i \(-0.0947098\pi\)
\(674\) −30.3043 8.89814i −1.16728 0.342744i
\(675\) 0.841254 0.540641i 0.0323799 0.0208093i
\(676\) 11.2895 + 24.7206i 0.434211 + 0.950791i
\(677\) 31.7738 9.32961i 1.22116 0.358566i 0.393256 0.919429i \(-0.371349\pi\)
0.827909 + 0.560863i \(0.189531\pi\)
\(678\) −0.0161081 + 0.0185897i −0.000618627 + 0.000713933i
\(679\) 18.7685 21.6600i 0.720269 0.831235i
\(680\) −4.98060 + 1.46244i −0.190997 + 0.0560819i
\(681\) 1.41713 + 3.10308i 0.0543045 + 0.118910i
\(682\) −6.38055 + 4.10053i −0.244324 + 0.157017i
\(683\) 28.7993 + 8.45625i 1.10198 + 0.323569i 0.781637 0.623733i \(-0.214385\pi\)
0.320339 + 0.947303i \(0.396203\pi\)
\(684\) −0.914645 6.36150i −0.0349723 0.243238i
\(685\) −1.06600 + 2.33421i −0.0407297 + 0.0891856i
\(686\) 2.85365 19.8476i 0.108953 0.757784i
\(687\) −2.17969 1.40080i −0.0831603 0.0534439i
\(688\) 5.44195 + 6.28034i 0.207472 + 0.239436i
\(689\) 13.3376 0.508123
\(690\) 4.66608 + 1.10801i 0.177635 + 0.0421813i
\(691\) 46.2149 1.75810 0.879050 0.476730i \(-0.158178\pi\)
0.879050 + 0.476730i \(0.158178\pi\)
\(692\) 15.3428 + 17.7065i 0.583244 + 0.673099i
\(693\) −8.42081 5.41173i −0.319880 0.205575i
\(694\) −0.538143 + 3.74286i −0.0204276 + 0.142077i
\(695\) −4.67750 + 10.2423i −0.177428 + 0.388512i
\(696\) −0.160429 1.11581i −0.00608106 0.0422947i
\(697\) −26.6125 7.81413i −1.00802 0.295981i
\(698\) −18.8433 + 12.1098i −0.713229 + 0.458364i
\(699\) 1.24070 + 2.71675i 0.0469275 + 0.102757i
\(700\) 1.94609 0.571424i 0.0735553 0.0215978i
\(701\) 14.7127 16.9794i 0.555691 0.641302i −0.406508 0.913647i \(-0.633254\pi\)
0.962200 + 0.272345i \(0.0877993\pi\)
\(702\) −4.15083 + 4.79031i −0.156663 + 0.180799i
\(703\) −54.7187 + 16.0669i −2.06375 + 0.605973i
\(704\) 2.05016 + 4.48923i 0.0772684 + 0.169194i
\(705\) −9.73726 + 6.25776i −0.366727 + 0.235681i
\(706\) −9.55975 2.80700i −0.359786 0.105643i
\(707\) −4.23200 29.4342i −0.159161 1.10699i
\(708\) −0.582929 + 1.27644i −0.0219078 + 0.0479714i
\(709\) 1.33825 9.30771i 0.0502589 0.349558i −0.949139 0.314858i \(-0.898043\pi\)
0.999398 0.0347005i \(-0.0110477\pi\)
\(710\) 12.9792 + 8.34123i 0.487101 + 0.313041i
\(711\) 10.1093 + 11.6667i 0.379127 + 0.437536i
\(712\) −8.83195 −0.330991
\(713\) −5.98289 + 4.30434i −0.224061 + 0.161199i
\(714\) 10.5284 0.394014
\(715\) −20.4852 23.6412i −0.766104 0.884131i
\(716\) −4.35227 2.79704i −0.162652 0.104530i
\(717\) −1.24790 + 8.67935i −0.0466038 + 0.324136i
\(718\) −0.735189 + 1.60984i −0.0274370 + 0.0600786i
\(719\) 4.79256 + 33.3330i 0.178732 + 1.24311i 0.859701 + 0.510797i \(0.170650\pi\)
−0.680969 + 0.732312i \(0.738441\pi\)
\(720\) 0.959493 + 0.281733i 0.0357582 + 0.0104996i
\(721\) 21.1599 13.5986i 0.788036 0.506440i
\(722\) −9.26593 20.2896i −0.344842 0.755099i
\(723\) −20.5972 + 6.04787i −0.766016 + 0.224923i
\(724\) 9.23821 10.6615i 0.343335 0.396230i
\(725\) 0.738214 0.851945i 0.0274166 0.0316404i
\(726\) 12.8153 3.76291i 0.475621 0.139655i
\(727\) −10.0333 21.9698i −0.372114 0.814816i −0.999352 0.0359888i \(-0.988542\pi\)
0.627238 0.778828i \(-0.284185\pi\)
\(728\) −10.8152 + 6.95049i −0.400837 + 0.257602i
\(729\) −0.959493 0.281733i −0.0355368 0.0104345i
\(730\) 0.620858 + 4.31816i 0.0229790 + 0.159822i
\(731\) −17.9196 + 39.2384i −0.662779 + 1.45128i
\(732\) −0.0307846 + 0.214111i −0.00113783 + 0.00791378i
\(733\) −28.7405 18.4704i −1.06155 0.682219i −0.111329 0.993784i \(-0.535511\pi\)
−0.950225 + 0.311564i \(0.899147\pi\)
\(734\) −11.1606 12.8800i −0.411946 0.475411i
\(735\) 2.88621 0.106459
\(736\) 2.21825 + 4.25198i 0.0817659 + 0.156730i
\(737\) −22.0469 −0.812110
\(738\) 3.49907 + 4.03814i 0.128802 + 0.148646i
\(739\) 4.14173 + 2.66173i 0.152356 + 0.0979132i 0.614598 0.788841i \(-0.289318\pi\)
−0.462242 + 0.886754i \(0.652955\pi\)
\(740\) 1.26282 8.78311i 0.0464222 0.322873i
\(741\) −16.9227 + 37.0556i −0.621672 + 1.36127i
\(742\) 0.607385 + 4.22445i 0.0222978 + 0.155085i
\(743\) −27.6160 8.10879i −1.01313 0.297483i −0.267298 0.963614i \(-0.586131\pi\)
−0.745835 + 0.666131i \(0.767949\pi\)
\(744\) −1.29286 + 0.830872i −0.0473986 + 0.0304612i
\(745\) −1.86240 4.07808i −0.0682330 0.149409i
\(746\) −29.0368 + 8.52597i −1.06311 + 0.312158i
\(747\) −0.132162 + 0.152523i −0.00483555 + 0.00558053i
\(748\) −16.7762 + 19.3608i −0.613400 + 0.707902i
\(749\) −4.47154 + 1.31296i −0.163387 + 0.0479747i
\(750\) 0.415415 + 0.909632i 0.0151688 + 0.0332151i
\(751\) 17.3748 11.1661i 0.634014 0.407456i −0.183780 0.982967i \(-0.558833\pi\)
0.817794 + 0.575511i \(0.195197\pi\)
\(752\) −11.1059 3.26097i −0.404989 0.118915i
\(753\) 2.91034 + 20.2419i 0.106059 + 0.737654i
\(754\) −2.96826 + 6.49957i −0.108098 + 0.236701i
\(755\) 0.244427 1.70003i 0.00889562 0.0618704i
\(756\) −1.70627 1.09655i −0.0620565 0.0398813i
\(757\) 0.920468 + 1.06228i 0.0334550 + 0.0386091i 0.772230 0.635343i \(-0.219141\pi\)
−0.738776 + 0.673952i \(0.764596\pi\)
\(758\) −28.5140 −1.03568
\(759\) 22.3288 7.84972i 0.810486 0.284927i
\(760\) 6.42692 0.233129
\(761\) −0.389962 0.450040i −0.0141361 0.0163139i 0.748637 0.662980i \(-0.230708\pi\)
−0.762774 + 0.646666i \(0.776163\pi\)
\(762\) −16.2183 10.4229i −0.587528 0.377581i
\(763\) −1.39285 + 9.68745i −0.0504244 + 0.350709i
\(764\) 5.52109 12.0895i 0.199746 0.437383i
\(765\) 0.738737 + 5.13803i 0.0267091 + 0.185766i
\(766\) −21.8149 6.40542i −0.788203 0.231437i
\(767\) 7.48249 4.80871i 0.270177 0.173632i
\(768\) 0.415415 + 0.909632i 0.0149900 + 0.0328235i
\(769\) −37.6717 + 11.0614i −1.35848 + 0.398885i −0.878226 0.478247i \(-0.841273\pi\)
−0.480251 + 0.877131i \(0.659454\pi\)
\(770\) 6.55505 7.56493i 0.236228 0.272621i
\(771\) −14.6433 + 16.8993i −0.527366 + 0.608612i
\(772\) −4.38864 + 1.28862i −0.157951 + 0.0463785i
\(773\) −4.36247 9.55247i −0.156907 0.343578i 0.814810 0.579729i \(-0.196841\pi\)