Properties

Label 349.2.e.a.123.11
Level 349
Weight 2
Character 349.123
Analytic conductor 2.787
Analytic rank 0
Dimension 58
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 349 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 349.e (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.78677903054\)
Analytic rank: \(0\)
Dimension: \(58\)
Relative dimension: \(29\) over \(\Q(\zeta_{6})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 123.11
Character \(\chi\) = 349.123
Dual form 349.2.e.a.227.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.941972 + 0.543848i) q^{2} +(-0.443096 + 0.767465i) q^{3} +(-0.408460 + 0.707473i) q^{4} +(-1.75571 + 3.04098i) q^{5} -0.963907i q^{6} +(2.73929 - 1.58153i) q^{7} -3.06395i q^{8} +(1.10733 + 1.91796i) q^{9} +O(q^{10})\) \(q+(-0.941972 + 0.543848i) q^{2} +(-0.443096 + 0.767465i) q^{3} +(-0.408460 + 0.707473i) q^{4} +(-1.75571 + 3.04098i) q^{5} -0.963907i q^{6} +(2.73929 - 1.58153i) q^{7} -3.06395i q^{8} +(1.10733 + 1.91796i) q^{9} -3.81936i q^{10} +6.06346i q^{11} +(-0.361974 - 0.626957i) q^{12} +(-3.50246 + 2.02214i) q^{13} +(-1.72022 + 2.97952i) q^{14} +(-1.55590 - 2.69490i) q^{15} +(0.849402 + 1.47121i) q^{16} -1.94697 q^{17} +(-2.08615 - 1.20444i) q^{18} +(3.67875 - 6.37179i) q^{19} +(-1.43428 - 2.48424i) q^{20} +2.80308i q^{21} +(-3.29760 - 5.71160i) q^{22} +(-4.36037 - 7.55238i) q^{23} +(2.35147 + 1.35762i) q^{24} +(-3.66505 - 6.34806i) q^{25} +(2.19948 - 3.80961i) q^{26} -4.62119 q^{27} +2.58397i q^{28} +(-0.895330 + 1.55076i) q^{29} +(2.93122 + 1.69234i) q^{30} +1.09276 q^{31} +(3.70669 + 2.14006i) q^{32} +(-4.65349 - 2.68669i) q^{33} +(1.83399 - 1.05885i) q^{34} +11.1069i q^{35} -1.80920 q^{36} -7.33548 q^{37} +8.00272i q^{38} -3.58402i q^{39} +(9.31742 + 5.37941i) q^{40} +7.17690 q^{41} +(-1.52445 - 2.64042i) q^{42} +(6.25909 + 3.61368i) q^{43} +(-4.28973 - 2.47668i) q^{44} -7.77663 q^{45} +(8.21469 + 4.74275i) q^{46} +6.94109i q^{47} -1.50547 q^{48} +(1.50249 - 2.60239i) q^{49} +(6.90475 + 3.98646i) q^{50} +(0.862694 - 1.49423i) q^{51} -3.30386i q^{52} +5.58046i q^{53} +(4.35303 - 2.51322i) q^{54} +(-18.4389 - 10.6457i) q^{55} +(-4.84573 - 8.39306i) q^{56} +(3.26008 + 5.64663i) q^{57} -1.94769i q^{58} +(6.20745 + 3.58387i) q^{59} +2.54209 q^{60} +4.62479i q^{61} +(-1.02935 + 0.594293i) q^{62} +(6.06662 + 3.50256i) q^{63} -8.05307 q^{64} -14.2012i q^{65} +5.84461 q^{66} -0.116953 q^{67} +(0.795258 - 1.37743i) q^{68} +7.72825 q^{69} +(-6.04044 - 10.4624i) q^{70} +(-0.617077 + 0.356269i) q^{71} +(5.87652 - 3.39281i) q^{72} +(2.29384 - 3.97305i) q^{73} +(6.90981 - 3.98938i) q^{74} +6.49588 q^{75} +(3.00524 + 5.20524i) q^{76} +(9.58955 + 16.6096i) q^{77} +(1.94916 + 3.37604i) q^{78} +10.1985i q^{79} -5.96523 q^{80} +(-1.27436 + 2.20726i) q^{81} +(-6.76044 + 3.90314i) q^{82} +(-6.45749 - 11.1847i) q^{83} +(-1.98310 - 1.14495i) q^{84} +(3.41832 - 5.92070i) q^{85} -7.86118 q^{86} +(-0.793434 - 1.37427i) q^{87} +18.5781 q^{88} +(-2.81356 - 1.62441i) q^{89} +(7.32536 - 4.22930i) q^{90} +(-6.39617 + 11.0785i) q^{91} +7.12414 q^{92} +(-0.484196 + 0.838653i) q^{93} +(-3.77489 - 6.53831i) q^{94} +(12.9177 + 22.3741i) q^{95} +(-3.28484 + 1.89650i) q^{96} +(3.74416 - 2.16169i) q^{97} +3.26850i q^{98} +(-11.6294 + 6.71426i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 58q - 3q^{2} + 27q^{4} + 2q^{5} - 29q^{9} + O(q^{10}) \) \( 58q - 3q^{2} + 27q^{4} + 2q^{5} - 29q^{9} - q^{12} - 3q^{13} - 10q^{14} + q^{15} - 29q^{16} - 10q^{17} + 15q^{18} - 9q^{19} - 3q^{22} - 17q^{23} - 48q^{24} - 29q^{25} - 4q^{26} + 18q^{27} - 2q^{29} + 9q^{30} + 32q^{31} + 9q^{32} - 12q^{33} - 63q^{34} + 24q^{36} - 16q^{37} + 54q^{40} - 10q^{41} - 15q^{42} - 45q^{43} + 18q^{44} - 2q^{45} + 27q^{46} + 6q^{48} + 35q^{49} + 6q^{50} - 14q^{51} + 27q^{54} + 24q^{55} + 11q^{56} - 29q^{57} - 18q^{59} + 116q^{60} - 9q^{62} - 21q^{63} - 132q^{64} + 130q^{66} + 58q^{67} + 42q^{69} + 40q^{70} - 24q^{71} + 72q^{72} - 6q^{73} + 30q^{74} - 58q^{75} + 37q^{76} - 4q^{77} - 33q^{78} - 40q^{80} - 81q^{81} + 21q^{82} + 12q^{83} + 18q^{84} - 11q^{85} - 126q^{86} - 42q^{87} - 50q^{88} + 3q^{89} - 12q^{90} - 28q^{91} - 120q^{92} + 31q^{93} + 29q^{94} + 60q^{95} - 120q^{96} - 15q^{97} + 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.941972 + 0.543848i −0.666075 + 0.384558i −0.794588 0.607149i \(-0.792313\pi\)
0.128513 + 0.991708i \(0.458980\pi\)
\(3\) −0.443096 + 0.767465i −0.255822 + 0.443096i −0.965118 0.261814i \(-0.915679\pi\)
0.709297 + 0.704910i \(0.249013\pi\)
\(4\) −0.408460 + 0.707473i −0.204230 + 0.353736i
\(5\) −1.75571 + 3.04098i −0.785179 + 1.35997i 0.143714 + 0.989619i \(0.454096\pi\)
−0.928892 + 0.370350i \(0.879238\pi\)
\(6\) 0.963907i 0.393513i
\(7\) 2.73929 1.58153i 1.03536 0.597763i 0.116841 0.993151i \(-0.462723\pi\)
0.918514 + 0.395388i \(0.129390\pi\)
\(8\) 3.06395i 1.08327i
\(9\) 1.10733 + 1.91796i 0.369111 + 0.639318i
\(10\) 3.81936i 1.20779i
\(11\) 6.06346i 1.82820i 0.405488 + 0.914100i \(0.367102\pi\)
−0.405488 + 0.914100i \(0.632898\pi\)
\(12\) −0.361974 0.626957i −0.104493 0.180987i
\(13\) −3.50246 + 2.02214i −0.971407 + 0.560842i −0.899665 0.436581i \(-0.856189\pi\)
−0.0717421 + 0.997423i \(0.522856\pi\)
\(14\) −1.72022 + 2.97952i −0.459749 + 0.796309i
\(15\) −1.55590 2.69490i −0.401731 0.695819i
\(16\) 0.849402 + 1.47121i 0.212351 + 0.367802i
\(17\) −1.94697 −0.472209 −0.236105 0.971728i \(-0.575871\pi\)
−0.236105 + 0.971728i \(0.575871\pi\)
\(18\) −2.08615 1.20444i −0.491710 0.283889i
\(19\) 3.67875 6.37179i 0.843964 1.46179i −0.0425541 0.999094i \(-0.513549\pi\)
0.886518 0.462694i \(-0.153117\pi\)
\(20\) −1.43428 2.48424i −0.320714 0.555492i
\(21\) 2.80308i 0.611683i
\(22\) −3.29760 5.71160i −0.703050 1.21772i
\(23\) −4.36037 7.55238i −0.909200 1.57478i −0.815179 0.579210i \(-0.803361\pi\)
−0.0940210 0.995570i \(-0.529972\pi\)
\(24\) 2.35147 + 1.35762i 0.479992 + 0.277124i
\(25\) −3.66505 6.34806i −0.733011 1.26961i
\(26\) 2.19948 3.80961i 0.431353 0.747125i
\(27\) −4.62119 −0.889349
\(28\) 2.58397i 0.488324i
\(29\) −0.895330 + 1.55076i −0.166259 + 0.287968i −0.937102 0.349057i \(-0.886502\pi\)
0.770843 + 0.637025i \(0.219835\pi\)
\(30\) 2.93122 + 1.69234i 0.535166 + 0.308978i
\(31\) 1.09276 0.196265 0.0981325 0.995173i \(-0.468713\pi\)
0.0981325 + 0.995173i \(0.468713\pi\)
\(32\) 3.70669 + 2.14006i 0.655256 + 0.378312i
\(33\) −4.65349 2.68669i −0.810068 0.467693i
\(34\) 1.83399 1.05885i 0.314526 0.181592i
\(35\) 11.1069i 1.87740i
\(36\) −1.80920 −0.301534
\(37\) −7.33548 −1.20594 −0.602972 0.797762i \(-0.706017\pi\)
−0.602972 + 0.797762i \(0.706017\pi\)
\(38\) 8.00272i 1.29821i
\(39\) 3.58402i 0.573902i
\(40\) 9.31742 + 5.37941i 1.47321 + 0.850560i
\(41\) 7.17690 1.12084 0.560422 0.828207i \(-0.310639\pi\)
0.560422 + 0.828207i \(0.310639\pi\)
\(42\) −1.52445 2.64042i −0.235228 0.407426i
\(43\) 6.25909 + 3.61368i 0.954502 + 0.551082i 0.894476 0.447115i \(-0.147549\pi\)
0.0600252 + 0.998197i \(0.480882\pi\)
\(44\) −4.28973 2.47668i −0.646701 0.373373i
\(45\) −7.77663 −1.15927
\(46\) 8.21469 + 4.74275i 1.21119 + 0.699281i
\(47\) 6.94109i 1.01246i 0.862398 + 0.506231i \(0.168962\pi\)
−0.862398 + 0.506231i \(0.831038\pi\)
\(48\) −1.50547 −0.217295
\(49\) 1.50249 2.60239i 0.214641 0.371769i
\(50\) 6.90475 + 3.98646i 0.976480 + 0.563771i
\(51\) 0.862694 1.49423i 0.120801 0.209234i
\(52\) 3.30386i 0.458163i
\(53\) 5.58046i 0.766535i 0.923637 + 0.383268i \(0.125201\pi\)
−0.923637 + 0.383268i \(0.874799\pi\)
\(54\) 4.35303 2.51322i 0.592373 0.342007i
\(55\) −18.4389 10.6457i −2.48630 1.43546i
\(56\) −4.84573 8.39306i −0.647539 1.12157i
\(57\) 3.26008 + 5.64663i 0.431808 + 0.747914i
\(58\) 1.94769i 0.255745i
\(59\) 6.20745 + 3.58387i 0.808141 + 0.466580i 0.846310 0.532691i \(-0.178819\pi\)
−0.0381689 + 0.999271i \(0.512152\pi\)
\(60\) 2.54209 0.328182
\(61\) 4.62479i 0.592143i 0.955166 + 0.296072i \(0.0956767\pi\)
−0.955166 + 0.296072i \(0.904323\pi\)
\(62\) −1.02935 + 0.594293i −0.130727 + 0.0754753i
\(63\) 6.06662 + 3.50256i 0.764322 + 0.441281i
\(64\) −8.05307 −1.00663
\(65\) 14.2012i 1.76144i
\(66\) 5.84461 0.719421
\(67\) −0.116953 −0.0142880 −0.00714402 0.999974i \(-0.502274\pi\)
−0.00714402 + 0.999974i \(0.502274\pi\)
\(68\) 0.795258 1.37743i 0.0964392 0.167038i
\(69\) 7.72825 0.930372
\(70\) −6.04044 10.4624i −0.721971 1.25049i
\(71\) −0.617077 + 0.356269i −0.0732335 + 0.0422814i −0.536170 0.844110i \(-0.680129\pi\)
0.462936 + 0.886392i \(0.346796\pi\)
\(72\) 5.87652 3.39281i 0.692554 0.399846i
\(73\) 2.29384 3.97305i 0.268474 0.465010i −0.699994 0.714149i \(-0.746814\pi\)
0.968468 + 0.249138i \(0.0801474\pi\)
\(74\) 6.90981 3.98938i 0.803249 0.463756i
\(75\) 6.49588 0.750080
\(76\) 3.00524 + 5.20524i 0.344725 + 0.597081i
\(77\) 9.58955 + 16.6096i 1.09283 + 1.89284i
\(78\) 1.94916 + 3.37604i 0.220699 + 0.382262i
\(79\) 10.1985i 1.14742i 0.819057 + 0.573712i \(0.194497\pi\)
−0.819057 + 0.573712i \(0.805503\pi\)
\(80\) −5.96523 −0.666933
\(81\) −1.27436 + 2.20726i −0.141596 + 0.245251i
\(82\) −6.76044 + 3.90314i −0.746565 + 0.431030i
\(83\) −6.45749 11.1847i −0.708802 1.22768i −0.965302 0.261136i \(-0.915903\pi\)
0.256500 0.966544i \(-0.417431\pi\)
\(84\) −1.98310 1.14495i −0.216374 0.124924i
\(85\) 3.41832 5.92070i 0.370769 0.642190i
\(86\) −7.86118 −0.847692
\(87\) −0.793434 1.37427i −0.0850651 0.147337i
\(88\) 18.5781 1.98043
\(89\) −2.81356 1.62441i −0.298237 0.172187i 0.343414 0.939184i \(-0.388417\pi\)
−0.641651 + 0.766997i \(0.721750\pi\)
\(90\) 7.32536 4.22930i 0.772161 0.445807i
\(91\) −6.39617 + 11.0785i −0.670501 + 1.16134i
\(92\) 7.12414 0.742743
\(93\) −0.484196 + 0.838653i −0.0502088 + 0.0869642i
\(94\) −3.77489 6.53831i −0.389351 0.674375i
\(95\) 12.9177 + 22.3741i 1.32532 + 2.29553i
\(96\) −3.28484 + 1.89650i −0.335258 + 0.193561i
\(97\) 3.74416 2.16169i 0.380162 0.219486i −0.297727 0.954651i \(-0.596228\pi\)
0.677889 + 0.735165i \(0.262895\pi\)
\(98\) 3.26850i 0.330168i
\(99\) −11.6294 + 6.71426i −1.16880 + 0.674808i
\(100\) 5.98811 0.598811
\(101\) 9.24864i 0.920274i 0.887848 + 0.460137i \(0.152200\pi\)
−0.887848 + 0.460137i \(0.847800\pi\)
\(102\) 1.87670i 0.185821i
\(103\) 5.37474i 0.529589i −0.964305 0.264794i \(-0.914696\pi\)
0.964305 0.264794i \(-0.0853041\pi\)
\(104\) 6.19575 + 10.7314i 0.607543 + 1.05230i
\(105\) −8.52413 4.92141i −0.831870 0.480280i
\(106\) −3.03492 5.25664i −0.294778 0.510570i
\(107\) −10.7843 + 6.22630i −1.04255 + 0.601919i −0.920556 0.390612i \(-0.872264\pi\)
−0.121998 + 0.992530i \(0.538930\pi\)
\(108\) 1.88757 3.26937i 0.181632 0.314595i
\(109\) 2.15229 3.72788i 0.206152 0.357066i −0.744347 0.667793i \(-0.767239\pi\)
0.950499 + 0.310727i \(0.100572\pi\)
\(110\) 23.1585 2.20808
\(111\) 3.25032 5.62972i 0.308507 0.534349i
\(112\) 4.65353 + 2.68671i 0.439717 + 0.253871i
\(113\) 6.66151 3.84602i 0.626662 0.361803i −0.152796 0.988258i \(-0.548828\pi\)
0.779458 + 0.626454i \(0.215495\pi\)
\(114\) −6.14181 3.54598i −0.575233 0.332111i
\(115\) 30.6222 2.85554
\(116\) −0.731412 1.26684i −0.0679099 0.117623i
\(117\) −7.75677 4.47837i −0.717113 0.414026i
\(118\) −7.79632 −0.717709
\(119\) −5.33332 + 3.07919i −0.488904 + 0.282269i
\(120\) −8.25702 + 4.76719i −0.753760 + 0.435183i
\(121\) −25.7655 −2.34232
\(122\) −2.51518 4.35642i −0.227714 0.394412i
\(123\) −3.18006 + 5.50802i −0.286736 + 0.496641i
\(124\) −0.446347 + 0.773096i −0.0400832 + 0.0694261i
\(125\) 8.18200 0.731821
\(126\) −7.61944 −0.678794
\(127\) 11.6955i 1.03781i 0.854833 + 0.518903i \(0.173659\pi\)
−0.854833 + 0.518903i \(0.826341\pi\)
\(128\) 0.172385 0.0995267i 0.0152369 0.00879700i
\(129\) −5.54675 + 3.20242i −0.488364 + 0.281957i
\(130\) 7.72330 + 13.3771i 0.677378 + 1.17325i
\(131\) 4.87865i 0.426250i −0.977025 0.213125i \(-0.931636\pi\)
0.977025 0.213125i \(-0.0683641\pi\)
\(132\) 3.80152 2.19481i 0.330880 0.191034i
\(133\) 23.2723i 2.01796i
\(134\) 0.110166 0.0636044i 0.00951690 0.00549458i
\(135\) 8.11349 14.0530i 0.698298 1.20949i
\(136\) 5.96541i 0.511530i
\(137\) 3.85114 + 2.22345i 0.329025 + 0.189963i 0.655408 0.755275i \(-0.272497\pi\)
−0.326383 + 0.945238i \(0.605830\pi\)
\(138\) −7.27979 + 4.20299i −0.619697 + 0.357782i
\(139\) 12.8106 1.08658 0.543290 0.839545i \(-0.317178\pi\)
0.543290 + 0.839545i \(0.317178\pi\)
\(140\) −7.85780 4.53671i −0.664106 0.383422i
\(141\) −5.32704 3.07557i −0.448618 0.259010i
\(142\) 0.387513 0.671191i 0.0325193 0.0563251i
\(143\) −12.2612 21.2370i −1.02533 1.77593i
\(144\) −1.88114 + 3.25823i −0.156762 + 0.271519i
\(145\) −3.14389 5.44537i −0.261085 0.452213i
\(146\) 4.99000i 0.412975i
\(147\) 1.33149 + 2.30621i 0.109820 + 0.190213i
\(148\) 2.99625 5.18965i 0.246290 0.426587i
\(149\) 0.435958 0.251701i 0.0357151 0.0206201i −0.482036 0.876151i \(-0.660103\pi\)
0.517751 + 0.855531i \(0.326769\pi\)
\(150\) −6.11894 + 3.53277i −0.499609 + 0.288450i
\(151\) 2.87152 4.97361i 0.233681 0.404747i −0.725208 0.688530i \(-0.758256\pi\)
0.958888 + 0.283783i \(0.0915896\pi\)
\(152\) −19.5228 11.2715i −1.58351 0.914241i
\(153\) −2.15594 3.73420i −0.174297 0.301892i
\(154\) −18.0662 10.4305i −1.45581 0.840514i
\(155\) −1.91857 + 3.32306i −0.154103 + 0.266914i
\(156\) 2.53559 + 1.46393i 0.203010 + 0.117208i
\(157\) 0.00488589 0.00846261i 0.000389937 0.000675390i −0.865830 0.500338i \(-0.833209\pi\)
0.866220 + 0.499662i \(0.166543\pi\)
\(158\) −5.54645 9.60673i −0.441252 0.764271i
\(159\) −4.28281 2.47268i −0.339649 0.196096i
\(160\) −13.0158 + 7.51466i −1.02899 + 0.594086i
\(161\) −23.8887 13.7921i −1.88269 1.08697i
\(162\) 2.77224i 0.217808i
\(163\) 11.6184i 0.910024i 0.890485 + 0.455012i \(0.150365\pi\)
−0.890485 + 0.455012i \(0.849635\pi\)
\(164\) −2.93147 + 5.07746i −0.228910 + 0.396483i
\(165\) 16.3404 9.43412i 1.27210 0.734445i
\(166\) 12.1655 + 7.02378i 0.944229 + 0.545151i
\(167\) 20.3265i 1.57291i 0.617648 + 0.786455i \(0.288086\pi\)
−0.617648 + 0.786455i \(0.711914\pi\)
\(168\) 8.58850 0.662617
\(169\) 1.67814 2.90662i 0.129088 0.223586i
\(170\) 7.43617i 0.570328i
\(171\) 16.2944 1.24606
\(172\) −5.11317 + 2.95209i −0.389875 + 0.225095i
\(173\) 11.4716 6.62316i 0.872173 0.503549i 0.00410338 0.999992i \(-0.498694\pi\)
0.868070 + 0.496442i \(0.165361\pi\)
\(174\) 1.49479 + 0.863015i 0.113319 + 0.0654250i
\(175\) −20.0793 11.5928i −1.51785 0.876333i
\(176\) −8.92060 + 5.15031i −0.672416 + 0.388219i
\(177\) −5.50099 + 3.17600i −0.413480 + 0.238723i
\(178\) 3.53373 0.264864
\(179\) 16.7016i 1.24834i 0.781290 + 0.624168i \(0.214562\pi\)
−0.781290 + 0.624168i \(0.785438\pi\)
\(180\) 3.17644 5.50175i 0.236758 0.410076i
\(181\) 2.43139 0.180724 0.0903620 0.995909i \(-0.471198\pi\)
0.0903620 + 0.995909i \(0.471198\pi\)
\(182\) 13.9142i 1.03139i
\(183\) −3.54936 2.04922i −0.262376 0.151483i
\(184\) −23.1401 + 13.3599i −1.70591 + 0.984908i
\(185\) 12.8790 22.3071i 0.946882 1.64005i
\(186\) 1.05332i 0.0772329i
\(187\) 11.8054i 0.863293i
\(188\) −4.91063 2.83515i −0.358145 0.206775i
\(189\) −12.6588 + 7.30857i −0.920793 + 0.531620i
\(190\) −24.3362 14.0505i −1.76553 1.01933i
\(191\) 9.08206 + 15.7306i 0.657155 + 1.13823i 0.981349 + 0.192235i \(0.0615736\pi\)
−0.324194 + 0.945991i \(0.605093\pi\)
\(192\) 3.56828 6.18045i 0.257519 0.446036i
\(193\) 15.3636 + 8.87020i 1.10590 + 0.638491i 0.937764 0.347273i \(-0.112892\pi\)
0.168135 + 0.985764i \(0.446226\pi\)
\(194\) −2.35126 + 4.07250i −0.168811 + 0.292389i
\(195\) 10.8989 + 6.29250i 0.780489 + 0.450616i
\(196\) 1.22741 + 2.12594i 0.0876722 + 0.151853i
\(197\) −4.82276 2.78442i −0.343608 0.198382i 0.318259 0.948004i \(-0.396902\pi\)
−0.661866 + 0.749622i \(0.730235\pi\)
\(198\) 7.30307 12.6493i 0.519006 0.898945i
\(199\) 4.69313 2.70958i 0.332687 0.192077i −0.324346 0.945938i \(-0.605144\pi\)
0.657034 + 0.753861i \(0.271811\pi\)
\(200\) −19.4501 + 11.2295i −1.37533 + 0.794048i
\(201\) 0.0518212 0.0897570i 0.00365519 0.00633097i
\(202\) −5.02985 8.71195i −0.353899 0.612971i
\(203\) 5.66397i 0.397533i
\(204\) 0.704751 + 1.22066i 0.0493424 + 0.0854636i
\(205\) −12.6006 + 21.8248i −0.880062 + 1.52431i
\(206\) 2.92304 + 5.06285i 0.203658 + 0.352746i
\(207\) 9.65675 16.7260i 0.671190 1.16254i
\(208\) −5.94999 3.43523i −0.412558 0.238190i
\(209\) 38.6351 + 22.3060i 2.67244 + 1.54294i
\(210\) 10.7060 0.738783
\(211\) −4.95719 + 2.86203i −0.341267 + 0.197030i −0.660832 0.750534i \(-0.729796\pi\)
0.319565 + 0.947564i \(0.396463\pi\)
\(212\) −3.94802 2.27939i −0.271151 0.156549i
\(213\) 0.631446i 0.0432660i
\(214\) 6.77231 11.7300i 0.462946 0.801846i
\(215\) −21.9783 + 12.6892i −1.49891 + 0.865395i
\(216\) 14.1591i 0.963405i
\(217\) 2.99338 1.72823i 0.203204 0.117320i
\(218\) 4.68208i 0.317111i
\(219\) 2.03278 + 3.52089i 0.137363 + 0.237919i
\(220\) 15.0631 8.69667i 1.01555 0.586329i
\(221\) 6.81917 3.93705i 0.458707 0.264835i
\(222\) 7.07072i 0.474555i
\(223\) −8.00222 −0.535868 −0.267934 0.963437i \(-0.586341\pi\)
−0.267934 + 0.963437i \(0.586341\pi\)
\(224\) 13.5383 0.904565
\(225\) 8.11686 14.0588i 0.541124 0.937255i
\(226\) −4.18330 + 7.24569i −0.278269 + 0.481976i
\(227\) 12.5556 + 21.7470i 0.833345 + 1.44340i 0.895371 + 0.445322i \(0.146911\pi\)
−0.0620253 + 0.998075i \(0.519756\pi\)
\(228\) −5.32645 −0.352753
\(229\) −13.3717 + 7.72018i −0.883630 + 0.510164i −0.871854 0.489767i \(-0.837082\pi\)
−0.0117764 + 0.999931i \(0.503749\pi\)
\(230\) −28.8453 + 16.6538i −1.90200 + 1.09812i
\(231\) −16.9964 −1.11828
\(232\) 4.75144 + 2.74325i 0.311947 + 0.180103i
\(233\) −11.0491 19.1376i −0.723851 1.25375i −0.959445 0.281895i \(-0.909037\pi\)
0.235594 0.971852i \(-0.424296\pi\)
\(234\) 9.74221 0.636868
\(235\) −21.1077 12.1866i −1.37692 0.794963i
\(236\) −5.07098 + 2.92773i −0.330093 + 0.190579i
\(237\) −7.82702 4.51893i −0.508419 0.293536i
\(238\) 3.34922 5.80102i 0.217098 0.376025i
\(239\) −6.85688 −0.443535 −0.221767 0.975100i \(-0.571183\pi\)
−0.221767 + 0.975100i \(0.571183\pi\)
\(240\) 2.64317 4.57810i 0.170616 0.295515i
\(241\) 4.96522 8.60002i 0.319838 0.553976i −0.660616 0.750724i \(-0.729705\pi\)
0.980454 + 0.196748i \(0.0630381\pi\)
\(242\) 24.2704 14.0125i 1.56016 0.900758i
\(243\) −8.06112 13.9623i −0.517121 0.895680i
\(244\) −3.27191 1.88904i −0.209463 0.120933i
\(245\) 5.27587 + 9.13808i 0.337063 + 0.583811i
\(246\) 6.91786i 0.441067i
\(247\) 29.7559i 1.89332i
\(248\) 3.34815i 0.212608i
\(249\) 11.4452 0.725307
\(250\) −7.70721 + 4.44976i −0.487447 + 0.281428i
\(251\) 9.94849i 0.627943i −0.949432 0.313971i \(-0.898340\pi\)
0.949432 0.313971i \(-0.101660\pi\)
\(252\) −4.95593 + 2.86131i −0.312195 + 0.180246i
\(253\) 45.7935 26.4389i 2.87901 1.66220i
\(254\) −6.36055 11.0168i −0.399097 0.691256i
\(255\) 3.02928 + 5.24688i 0.189701 + 0.328572i
\(256\) 7.94482 13.7608i 0.496551 0.860052i
\(257\) 14.6933 0.916541 0.458271 0.888813i \(-0.348469\pi\)
0.458271 + 0.888813i \(0.348469\pi\)
\(258\) 3.48326 6.03318i 0.216858 0.375609i
\(259\) −20.0940 + 11.6013i −1.24858 + 0.720869i
\(260\) 10.0470 + 5.80063i 0.623087 + 0.359740i
\(261\) −3.96571 −0.245471
\(262\) 2.65324 + 4.59555i 0.163918 + 0.283914i
\(263\) −27.5227 −1.69712 −0.848560 0.529099i \(-0.822530\pi\)
−0.848560 + 0.529099i \(0.822530\pi\)
\(264\) −8.23189 + 14.2581i −0.506638 + 0.877523i
\(265\) −16.9701 9.79769i −1.04246 0.601867i
\(266\) 12.6566 + 21.9218i 0.776024 + 1.34411i
\(267\) 2.49336 1.43954i 0.152591 0.0880984i
\(268\) 0.0477704 0.0827408i 0.00291804 0.00505420i
\(269\) 2.72686 0.166260 0.0831298 0.996539i \(-0.473508\pi\)
0.0831298 + 0.996539i \(0.473508\pi\)
\(270\) 17.6500i 1.07414i
\(271\) −9.30594 16.1184i −0.565296 0.979121i −0.997022 0.0771161i \(-0.975429\pi\)
0.431727 0.902005i \(-0.357905\pi\)
\(272\) −1.65376 2.86440i −0.100274 0.173679i
\(273\) −5.66824 9.81768i −0.343057 0.594193i
\(274\) −4.83688 −0.292207
\(275\) 38.4912 22.2229i 2.32111 1.34009i
\(276\) −3.15668 + 5.46752i −0.190010 + 0.329106i
\(277\) 16.7371 9.66319i 1.00564 0.580605i 0.0957258 0.995408i \(-0.469483\pi\)
0.909911 + 0.414803i \(0.136149\pi\)
\(278\) −12.0672 + 6.96701i −0.723743 + 0.417853i
\(279\) 1.21004 + 2.09586i 0.0724435 + 0.125476i
\(280\) 34.0309 2.03373
\(281\) −2.12324 + 3.67756i −0.126662 + 0.219385i −0.922381 0.386280i \(-0.873760\pi\)
0.795719 + 0.605665i \(0.207093\pi\)
\(282\) 6.69056 0.398417
\(283\) 8.27179 0.491707 0.245854 0.969307i \(-0.420932\pi\)
0.245854 + 0.969307i \(0.420932\pi\)
\(284\) 0.582087i 0.0345405i
\(285\) −22.8951 −1.35619
\(286\) 23.0994 + 13.3364i 1.36589 + 0.788600i
\(287\) 19.6596 11.3505i 1.16047 0.669999i
\(288\) 9.47902i 0.558557i
\(289\) −13.2093 −0.777019
\(290\) 5.92290 + 3.41959i 0.347805 + 0.200805i
\(291\) 3.83135i 0.224598i
\(292\) 1.87388 + 3.24566i 0.109661 + 0.189938i
\(293\) −5.21552 9.03355i −0.304694 0.527746i 0.672499 0.740098i \(-0.265221\pi\)
−0.977193 + 0.212352i \(0.931888\pi\)
\(294\) −2.50846 1.44826i −0.146296 0.0844641i
\(295\) −21.7970 + 12.5845i −1.26907 + 0.732698i
\(296\) 22.4755i 1.30636i
\(297\) 28.0204i 1.62591i
\(298\) −0.273774 + 0.474190i −0.0158593 + 0.0274691i
\(299\) 30.5440 + 17.6346i 1.76641 + 1.01983i
\(300\) −2.65331 + 4.59566i −0.153189 + 0.265331i
\(301\) 22.8606 1.31767
\(302\) 6.24667i 0.359456i
\(303\) −7.09800 4.09803i −0.407770 0.235426i
\(304\) 12.4990 0.716865
\(305\) −14.0639 8.11980i −0.805297 0.464938i
\(306\) 4.06167 + 2.34501i 0.232190 + 0.134055i
\(307\) 14.1333 + 24.4796i 0.806631 + 1.39713i 0.915184 + 0.403036i \(0.132045\pi\)
−0.108553 + 0.994091i \(0.534622\pi\)
\(308\) −15.6678 −0.892754
\(309\) 4.12492 + 2.38153i 0.234659 + 0.135480i
\(310\) 4.17363i 0.237046i
\(311\) 2.99274i 0.169702i 0.996394 + 0.0848512i \(0.0270415\pi\)
−0.996394 + 0.0848512i \(0.972958\pi\)
\(312\) −10.9812 −0.621691
\(313\) −3.11406 −0.176017 −0.0880084 0.996120i \(-0.528050\pi\)
−0.0880084 + 0.996120i \(0.528050\pi\)
\(314\) 0.0106287i 0.000599813i
\(315\) −21.3025 + 12.2990i −1.20026 + 0.692969i
\(316\) −7.21519 4.16569i −0.405886 0.234338i
\(317\) −8.71669 5.03258i −0.489578 0.282658i 0.234821 0.972039i \(-0.424550\pi\)
−0.724399 + 0.689380i \(0.757883\pi\)
\(318\) 5.37904 0.301642
\(319\) −9.40295 5.42880i −0.526464 0.303954i
\(320\) 14.1389 24.4893i 0.790387 1.36899i
\(321\) 11.0354i 0.615935i
\(322\) 30.0033 1.67202
\(323\) −7.16242 + 12.4057i −0.398527 + 0.690270i
\(324\) −1.04105 1.80315i −0.0578362 0.100175i
\(325\) 25.6734 + 14.8225i 1.42410 + 0.822207i
\(326\) −6.31864 10.9442i −0.349957 0.606144i
\(327\) 1.90735 + 3.30362i 0.105476 + 0.182691i
\(328\) 21.9897i 1.21418i
\(329\) 10.9776 + 19.0137i 0.605212 + 1.04826i
\(330\) −10.2614 + 17.7734i −0.564874 + 0.978391i
\(331\) 21.8322 + 12.6048i 1.20001 + 0.692824i 0.960557 0.278085i \(-0.0896996\pi\)
0.239450 + 0.970909i \(0.423033\pi\)
\(332\) 10.5505 0.579034
\(333\) −8.12281 14.0691i −0.445127 0.770983i
\(334\) −11.0545 19.1470i −0.604875 1.04767i
\(335\) 0.205335 0.355651i 0.0112187 0.0194313i
\(336\) −4.12392 + 2.38094i −0.224978 + 0.129891i
\(337\) 1.51932 + 2.63155i 0.0827629 + 0.143350i 0.904436 0.426610i \(-0.140292\pi\)
−0.821673 + 0.569959i \(0.806959\pi\)
\(338\) 3.65061i 0.198567i
\(339\) 6.81663i 0.370228i
\(340\) 2.79249 + 4.83673i 0.151444 + 0.262309i
\(341\) 6.62588i 0.358812i
\(342\) −15.3489 + 8.86167i −0.829972 + 0.479184i
\(343\) 12.6365i 0.682308i
\(344\) 11.0721 19.1775i 0.596970 1.03398i
\(345\) −13.5686 + 23.5015i −0.730508 + 1.26528i
\(346\) −7.20398 + 12.4777i −0.387288 + 0.670803i
\(347\) 18.7577 10.8297i 1.00696 0.581371i 0.0966626 0.995317i \(-0.469183\pi\)
0.910301 + 0.413946i \(0.135850\pi\)
\(348\) 1.29634 0.0694913
\(349\) −2.88885 + 18.4568i −0.154636 + 0.987971i
\(350\) 25.2189 1.34801
\(351\) 16.1855 9.34472i 0.863920 0.498784i
\(352\) −12.9762 + 22.4754i −0.691631 + 1.19794i
\(353\) 4.42830 7.67005i 0.235695 0.408235i −0.723780 0.690031i \(-0.757597\pi\)
0.959474 + 0.281796i \(0.0909301\pi\)
\(354\) 3.45452 5.98340i 0.183606 0.318014i
\(355\) 2.50203i 0.132794i
\(356\) 2.29845 1.32701i 0.121818 0.0703315i
\(357\) 5.45751i 0.288842i
\(358\) −9.08312 15.7324i −0.480058 0.831485i
\(359\) 23.9863i 1.26595i −0.774172 0.632975i \(-0.781834\pi\)
0.774172 0.632975i \(-0.218166\pi\)
\(360\) 23.8272i 1.25580i
\(361\) −17.5665 30.4260i −0.924550 1.60137i
\(362\) −2.29030 + 1.32231i −0.120376 + 0.0694989i
\(363\) 11.4166 19.7741i 0.599215 1.03787i
\(364\) −5.22516 9.05024i −0.273873 0.474361i
\(365\) 8.05465 + 13.9511i 0.421600 + 0.730232i
\(366\) 4.45786 0.233016
\(367\) 9.15607 + 5.28626i 0.477943 + 0.275941i 0.719559 0.694431i \(-0.244344\pi\)
−0.241616 + 0.970372i \(0.577677\pi\)
\(368\) 7.40741 12.8300i 0.386138 0.668811i
\(369\) 7.94721 + 13.7650i 0.413715 + 0.716576i
\(370\) 28.0168i 1.45653i
\(371\) 8.82568 + 15.2865i 0.458206 + 0.793637i
\(372\) −0.395549 0.685111i −0.0205083 0.0355214i
\(373\) 11.8531 + 6.84342i 0.613733 + 0.354339i 0.774425 0.632666i \(-0.218039\pi\)
−0.160692 + 0.987005i \(0.551373\pi\)
\(374\) 6.42031 + 11.1203i 0.331987 + 0.575018i
\(375\) −3.62541 + 6.27940i −0.187215 + 0.324267i
\(376\) 21.2671 1.09677
\(377\) 7.24195i 0.372979i
\(378\) 7.94949 13.7689i 0.408878 0.708197i
\(379\) −8.48979 4.90158i −0.436091 0.251777i 0.265847 0.964015i \(-0.414348\pi\)
−0.701938 + 0.712238i \(0.747682\pi\)
\(380\) −21.1054 −1.08268
\(381\) −8.97586 5.18222i −0.459847 0.265493i
\(382\) −17.1101 9.87852i −0.875428 0.505429i
\(383\) 14.4502 8.34283i 0.738371 0.426299i −0.0831056 0.996541i \(-0.526484\pi\)
0.821477 + 0.570242i \(0.193151\pi\)
\(384\) 0.176400i 0.00900185i
\(385\) −67.3460 −3.43227
\(386\) −19.2962 −0.982148
\(387\) 16.0062i 0.813641i
\(388\) 3.53185i 0.179303i
\(389\) −22.0857 12.7512i −1.11979 0.646511i −0.178443 0.983950i \(-0.557106\pi\)
−0.941347 + 0.337439i \(0.890439\pi\)
\(390\) −13.6887 −0.693152
\(391\) 8.48950 + 14.7042i 0.429332 + 0.743625i
\(392\) −7.97358 4.60355i −0.402726 0.232514i
\(393\) 3.74419 + 2.16171i 0.188869 + 0.109044i
\(394\) 6.05721 0.305158
\(395\) −31.0136 17.9057i −1.56046 0.900933i
\(396\) 10.9700i 0.551264i
\(397\) 25.7430 1.29200 0.646002 0.763336i \(-0.276440\pi\)
0.646002 + 0.763336i \(0.276440\pi\)
\(398\) −2.94720 + 5.10470i −0.147730 + 0.255875i
\(399\) 17.8606 + 10.3118i 0.894151 + 0.516238i
\(400\) 6.22621 10.7841i 0.311311 0.539206i
\(401\) 18.1819i 0.907958i 0.891012 + 0.453979i \(0.149996\pi\)
−0.891012 + 0.453979i \(0.850004\pi\)
\(402\) 0.112731i 0.00562253i
\(403\) −3.82734 + 2.20971i −0.190653 + 0.110074i
\(404\) −6.54316 3.77769i −0.325534 0.187947i
\(405\) −4.47483 7.75064i −0.222356 0.385132i
\(406\) −3.08034 5.33530i −0.152875 0.264787i
\(407\) 44.4783i 2.20471i
\(408\) −4.57824 2.64325i −0.226657 0.130860i
\(409\) 0.595970 0.0294688 0.0147344 0.999891i \(-0.495310\pi\)
0.0147344 + 0.999891i \(0.495310\pi\)
\(410\) 27.4112i 1.35374i
\(411\) −3.41285 + 1.97041i −0.168343 + 0.0971931i
\(412\) 3.80248 + 2.19536i 0.187335 + 0.108158i
\(413\) 22.6720 1.11562
\(414\) 21.0072i 1.03245i
\(415\) 45.3500 2.22614
\(416\) −17.3100 −0.848694
\(417\) −5.67632 + 9.83167i −0.277971 + 0.481459i
\(418\) −48.5242 −2.37339
\(419\) −15.2644 26.4387i −0.745713 1.29161i −0.949861 0.312673i \(-0.898776\pi\)
0.204148 0.978940i \(-0.434558\pi\)
\(420\) 6.96352 4.02039i 0.339785 0.196175i
\(421\) 21.0747 12.1675i 1.02712 0.593008i 0.110962 0.993825i \(-0.464607\pi\)
0.916158 + 0.400817i \(0.131274\pi\)
\(422\) 3.11302 5.39191i 0.151539 0.262474i
\(423\) −13.3127 + 7.68609i −0.647285 + 0.373710i
\(424\) 17.0983 0.830364
\(425\) 7.13574 + 12.3595i 0.346134 + 0.599522i
\(426\) 0.343411 + 0.594804i 0.0166383 + 0.0288184i
\(427\) 7.31425 + 12.6687i 0.353961 + 0.613079i
\(428\) 10.1728i 0.491719i
\(429\) 21.7315 1.04921
\(430\) 13.8020 23.9057i 0.665590 1.15284i
\(431\) 9.94360 5.74094i 0.478967 0.276531i −0.241019 0.970520i \(-0.577482\pi\)
0.719986 + 0.693989i \(0.244148\pi\)
\(432\) −3.92525 6.79874i −0.188854 0.327104i
\(433\) 23.9338 + 13.8182i 1.15018 + 0.664059i 0.948932 0.315481i \(-0.102166\pi\)
0.201252 + 0.979540i \(0.435499\pi\)
\(434\) −1.87979 + 3.25589i −0.0902327 + 0.156288i
\(435\) 5.57217 0.267165
\(436\) 1.75825 + 3.04538i 0.0842049 + 0.145847i
\(437\) −64.1629 −3.06933
\(438\) −3.82965 2.21105i −0.182988 0.105648i
\(439\) 27.5135 15.8849i 1.31315 0.758146i 0.330531 0.943795i \(-0.392772\pi\)
0.982616 + 0.185649i \(0.0594388\pi\)
\(440\) −32.6178 + 56.4958i −1.55499 + 2.69333i
\(441\) 6.65501 0.316905
\(442\) −4.28231 + 7.41718i −0.203689 + 0.352799i
\(443\) −18.1410 31.4212i −0.861906 1.49287i −0.870086 0.492899i \(-0.835937\pi\)
0.00818002 0.999967i \(-0.497396\pi\)
\(444\) 2.65525 + 4.59903i 0.126013 + 0.218260i
\(445\) 9.87961 5.70400i 0.468339 0.270395i
\(446\) 7.53786 4.35199i 0.356928 0.206073i
\(447\) 0.446110i 0.0211003i
\(448\) −22.0597 + 12.7362i −1.04222 + 0.601729i
\(449\) −11.5766 −0.546334 −0.273167 0.961967i \(-0.588071\pi\)
−0.273167 + 0.961967i \(0.588071\pi\)
\(450\) 17.6573i 0.832375i
\(451\) 43.5168i 2.04913i
\(452\) 6.28378i 0.295564i
\(453\) 2.54472 + 4.40758i 0.119561 + 0.207086i
\(454\) −23.6541 13.6567i −1.11014 0.640940i
\(455\) −22.4597 38.9013i −1.05293 1.82372i
\(456\) 17.3010 9.98873i 0.810193 0.467765i
\(457\) −5.96503 + 10.3317i −0.279032 + 0.483298i −0.971144 0.238492i \(-0.923347\pi\)
0.692112 + 0.721790i \(0.256680\pi\)
\(458\) 8.39720 14.5444i 0.392376 0.679614i
\(459\) 8.99732 0.419959
\(460\) −12.5079 + 21.6644i −0.583186 + 1.01011i
\(461\) −30.7579 17.7581i −1.43254 0.827075i −0.435222 0.900323i \(-0.643330\pi\)
−0.997314 + 0.0732478i \(0.976664\pi\)
\(462\) 16.0101 9.24343i 0.744857 0.430043i
\(463\) 22.1811 + 12.8063i 1.03084 + 0.595157i 0.917226 0.398367i \(-0.130423\pi\)
0.113617 + 0.993525i \(0.463756\pi\)
\(464\) −3.04198 −0.141220
\(465\) −1.70022 2.94487i −0.0788458 0.136565i
\(466\) 20.8159 + 12.0181i 0.964278 + 0.556726i
\(467\) 2.35532 0.108991 0.0544956 0.998514i \(-0.482645\pi\)
0.0544956 + 0.998514i \(0.482645\pi\)
\(468\) 6.33665 3.65847i 0.292912 0.169113i
\(469\) −0.320368 + 0.184964i −0.0147932 + 0.00854086i
\(470\) 26.5105 1.22284
\(471\) 0.00432984 + 0.00749950i 0.000199508 + 0.000345559i
\(472\) 10.9808 19.0193i 0.505432 0.875435i
\(473\) −21.9114 + 37.9517i −1.00749 + 1.74502i
\(474\) 9.83044 0.451527
\(475\) −53.9313 −2.47454
\(476\) 5.03090i 0.230591i
\(477\) −10.7031 + 6.17942i −0.490060 + 0.282936i
\(478\) 6.45899 3.72910i 0.295427 0.170565i
\(479\) 11.6267 + 20.1381i 0.531239 + 0.920133i 0.999335 + 0.0364555i \(0.0116067\pi\)
−0.468096 + 0.883677i \(0.655060\pi\)
\(480\) 13.3189i 0.607920i
\(481\) 25.6922 14.8334i 1.17146 0.676345i
\(482\) 10.8013i 0.491986i
\(483\) 21.1699 12.2225i 0.963266 0.556142i
\(484\) 10.5242 18.2284i 0.478371 0.828563i
\(485\) 15.1812i 0.689344i
\(486\) 15.1867 + 8.76804i 0.688882 + 0.397726i
\(487\) −26.0936 + 15.0651i −1.18241 + 0.682666i −0.956571 0.291498i \(-0.905846\pi\)
−0.225841 + 0.974164i \(0.572513\pi\)
\(488\) 14.1701 0.641451
\(489\) −8.91672 5.14807i −0.403228 0.232804i
\(490\) −9.93945 5.73854i −0.449019 0.259241i
\(491\) 20.3805 35.3001i 0.919760 1.59307i 0.119982 0.992776i \(-0.461716\pi\)
0.799779 0.600295i \(-0.204950\pi\)
\(492\) −2.59785 4.49961i −0.117120 0.202858i
\(493\) 1.74318 3.01928i 0.0785089 0.135981i
\(494\) −16.1827 28.0292i −0.728093 1.26109i
\(495\) 47.1532i 2.11938i
\(496\) 0.928190 + 1.60767i 0.0416770 + 0.0721866i
\(497\) −1.12690 + 1.95185i −0.0505485 + 0.0875526i
\(498\) −10.7810 + 6.22442i −0.483109 + 0.278923i
\(499\) 6.67205 3.85211i 0.298682 0.172444i −0.343169 0.939274i \(-0.611500\pi\)
0.641851 + 0.766830i \(0.278167\pi\)
\(500\) −3.34202 + 5.78854i −0.149460 + 0.258872i
\(501\) −15.5998 9.00658i −0.696950 0.402384i
\(502\) 5.41046 + 9.37119i 0.241481 + 0.418257i
\(503\) 21.4843 + 12.4039i 0.957936 + 0.553064i 0.895537 0.444987i \(-0.146792\pi\)
0.0623986 + 0.998051i \(0.480125\pi\)
\(504\) 10.7317 18.5878i 0.478027 0.827967i
\(505\) −28.1250 16.2380i −1.25154 0.722579i
\(506\) −28.7575 + 49.8094i −1.27843 + 2.21430i
\(507\) 1.48715 + 2.57583i 0.0660468 + 0.114396i
\(508\) −8.27423 4.77713i −0.367109 0.211951i
\(509\) 1.00599 0.580807i 0.0445896 0.0257438i −0.477539 0.878610i \(-0.658471\pi\)
0.522129 + 0.852866i \(0.325138\pi\)
\(510\) −5.70700 3.29494i −0.252710 0.145902i
\(511\) 14.5111i 0.641935i
\(512\) 17.6812i 0.781405i
\(513\) −17.0002 + 29.4453i −0.750578 + 1.30004i
\(514\) −13.8407 + 7.99090i −0.610485 + 0.352464i
\(515\) 16.3445 + 9.43650i 0.720224 + 0.415822i
\(516\) 5.23223i 0.230336i
\(517\) −42.0870 −1.85098
\(518\) 12.6187 21.8562i 0.554433 0.960305i
\(519\) 11.7388i 0.515275i
\(520\) −43.5118 −1.90812
\(521\) 28.4351 16.4170i 1.24576 0.719241i 0.275501 0.961301i \(-0.411156\pi\)
0.970261 + 0.242060i \(0.0778229\pi\)
\(522\) 3.73559 2.15674i 0.163502 0.0943980i
\(523\) −10.3549 5.97840i −0.452788 0.261417i 0.256219 0.966619i \(-0.417523\pi\)
−0.709007 + 0.705201i \(0.750857\pi\)
\(524\) 3.45151 + 1.99273i 0.150780 + 0.0870529i
\(525\) 17.7941 10.2734i 0.776600 0.448370i
\(526\) 25.9256 14.9681i 1.13041 0.652642i
\(527\) −2.12756 −0.0926781
\(528\) 9.12833i 0.397260i
\(529\) −26.5256 + 45.9437i −1.15329 + 1.99755i
\(530\) 21.3138 0.925812
\(531\) 15.8741i 0.688879i
\(532\) 16.4645 + 9.50578i 0.713826 + 0.412128i
\(533\) −25.1368 + 14.5127i −1.08880 + 0.628616i
\(534\) −1.56578 + 2.71201i −0.0677579 + 0.117360i
\(535\) 43.7264i 1.89046i
\(536\) 0.358337i 0.0154778i
\(537\) −12.8179 7.40041i −0.553133 0.319351i
\(538\) −2.56863 + 1.48300i −0.110741 + 0.0639365i
\(539\) 15.7794 + 9.11027i 0.679669 + 0.392407i
\(540\) 6.62806 + 11.4801i 0.285226 + 0.494027i
\(541\) −15.0436 + 26.0563i −0.646774 + 1.12025i 0.337114 + 0.941464i \(0.390549\pi\)
−0.983889 + 0.178782i \(0.942784\pi\)
\(542\) 17.5319 + 10.1220i 0.753058 + 0.434778i
\(543\) −1.07734 + 1.86601i −0.0462331 + 0.0800781i
\(544\) −7.21681 4.16663i −0.309418 0.178643i
\(545\) 7.55762 + 13.0902i 0.323733 + 0.560722i
\(546\) 10.6786 + 6.16532i 0.457004 + 0.263851i
\(547\) −6.78862 + 11.7582i −0.290260 + 0.502746i −0.973871 0.227101i \(-0.927075\pi\)
0.683611 + 0.729847i \(0.260409\pi\)
\(548\) −3.14607 + 1.81638i −0.134393 + 0.0775920i
\(549\) −8.87013 + 5.12117i −0.378568 + 0.218566i
\(550\) −24.1717 + 41.8667i −1.03069 + 1.78520i
\(551\) 6.58740 + 11.4097i 0.280633 + 0.486070i
\(552\) 23.6790i 1.00784i
\(553\) 16.1293 + 27.9368i 0.685888 + 1.18799i
\(554\) −10.5106 + 18.2049i −0.446553 + 0.773452i
\(555\) 11.4133 + 19.7683i 0.484466 + 0.839119i
\(556\) −5.23261 + 9.06314i −0.221912 + 0.384363i
\(557\) −34.4407 19.8844i −1.45930 0.842528i −0.460324 0.887751i \(-0.652267\pi\)
−0.998977 + 0.0452228i \(0.985600\pi\)
\(558\) −2.27966 1.31616i −0.0965055 0.0557175i
\(559\) −29.2296 −1.23628
\(560\) −16.3405 + 9.43420i −0.690512 + 0.398668i
\(561\) 9.06019 + 5.23091i 0.382522 + 0.220849i
\(562\) 4.61888i 0.194836i
\(563\) 18.1306 31.4032i 0.764114 1.32349i −0.176599 0.984283i \(-0.556510\pi\)
0.940714 0.339202i \(-0.110157\pi\)
\(564\) 4.35176 2.51249i 0.183242 0.105795i
\(565\) 27.0100i 1.13632i
\(566\) −7.79180 + 4.49860i −0.327514 + 0.189090i
\(567\) 8.06179i 0.338563i
\(568\) 1.09159 + 1.89069i 0.0458022 + 0.0793317i
\(569\) 37.3238 21.5489i 1.56470 0.903378i 0.567926 0.823079i \(-0.307746\pi\)
0.996771 0.0802988i \(-0.0255874\pi\)
\(570\) 21.5665 12.4514i 0.903321 0.521533i
\(571\) 30.2488i 1.26587i 0.774204 + 0.632936i \(0.218150\pi\)
−0.774204 + 0.632936i \(0.781850\pi\)
\(572\) 20.0328 0.837613
\(573\) −16.0969 −0.672458
\(574\) −12.3459 + 21.3837i −0.515307 + 0.892538i
\(575\) −31.9620 + 55.3598i −1.33291 + 2.30866i
\(576\) −8.91742 15.4454i −0.371559 0.643560i
\(577\) 32.0241 1.33318 0.666590 0.745424i \(-0.267753\pi\)
0.666590 + 0.745424i \(0.267753\pi\)
\(578\) 12.4428 7.18385i 0.517552 0.298809i
\(579\) −13.6151 + 7.86070i −0.565826 + 0.326680i
\(580\) 5.13660 0.213286
\(581\) −35.3779 20.4255i −1.46772 0.847391i
\(582\) −2.08367 3.60902i −0.0863708 0.149599i
\(583\) −33.8369 −1.40138
\(584\) −12.1732 7.02821i −0.503732 0.290830i
\(585\) 27.2373 15.7255i 1.12612 0.650168i
\(586\) 9.82575 + 5.67290i 0.405898 + 0.234345i
\(587\) −2.59664 + 4.49751i −0.107175 + 0.185632i −0.914625 0.404304i \(-0.867514\pi\)
0.807450 + 0.589936i \(0.200847\pi\)
\(588\) −2.17544 −0.0897138
\(589\) 4.01998 6.96282i 0.165641 0.286898i
\(590\) 13.6881 23.7085i 0.563530 0.976063i
\(591\) 4.27389 2.46753i 0.175804 0.101501i
\(592\) −6.23077 10.7920i −0.256083 0.443549i
\(593\) −16.1061 9.29889i −0.661400 0.381860i 0.131410 0.991328i \(-0.458050\pi\)
−0.792810 + 0.609469i \(0.791383\pi\)
\(594\) 15.2388 + 26.3944i 0.625257 + 1.08298i
\(595\) 21.6247i 0.886527i
\(596\) 0.411238i 0.0168450i
\(597\) 4.80242i 0.196550i
\(598\) −38.3621 −1.56874
\(599\) 38.1423 22.0215i 1.55845 0.899772i 0.561046 0.827785i \(-0.310399\pi\)
0.997406 0.0719872i \(-0.0229341\pi\)
\(600\) 19.9031i 0.812539i
\(601\) 2.29319 1.32397i 0.0935412 0.0540060i −0.452500 0.891765i \(-0.649468\pi\)
0.546041 + 0.837759i \(0.316134\pi\)
\(602\) −21.5341 + 12.4327i −0.877663 + 0.506719i
\(603\) −0.129505 0.224310i −0.00527387 0.00913460i
\(604\) 2.34580 + 4.06304i 0.0954492 + 0.165323i
\(605\) 45.2368 78.3525i 1.83914 3.18548i
\(606\) 8.91482 0.362140
\(607\) 5.07052 8.78239i 0.205806 0.356466i −0.744583 0.667530i \(-0.767352\pi\)
0.950389 + 0.311063i \(0.100685\pi\)
\(608\) 27.2720 15.7455i 1.10603 0.638564i
\(609\) −4.34690 2.50968i −0.176145 0.101698i
\(610\) 17.6637 0.715183
\(611\) −14.0359 24.3109i −0.567831 0.983512i
\(612\) 3.52246 0.142387
\(613\) 9.33046 16.1608i 0.376854 0.652730i −0.613749 0.789501i \(-0.710339\pi\)
0.990603 + 0.136772i \(0.0436726\pi\)
\(614\) −26.6264 15.3727i −1.07455 0.620394i
\(615\) −11.1665 19.3410i −0.450278 0.779904i
\(616\) 50.8909 29.3819i 2.05045 1.18383i
\(617\) −15.4603 + 26.7780i −0.622407 + 1.07804i 0.366630 + 0.930367i \(0.380512\pi\)
−0.989036 + 0.147673i \(0.952822\pi\)
\(618\) −5.18075 −0.208400
\(619\) 25.6603i 1.03137i −0.856777 0.515687i \(-0.827537\pi\)
0.856777 0.515687i \(-0.172463\pi\)
\(620\) −1.56731 2.71467i −0.0629449 0.109024i
\(621\) 20.1501 + 34.9010i 0.808596 + 1.40053i
\(622\) −1.62759 2.81907i −0.0652605 0.113035i
\(623\) −10.2762 −0.411708
\(624\) 5.27283 3.04427i 0.211082 0.121868i
\(625\) 3.96003 6.85897i 0.158401 0.274359i
\(626\) 2.93335 1.69357i 0.117240 0.0676888i
\(627\) −34.2381 + 19.7674i −1.36734 + 0.789432i
\(628\) 0.00399138 + 0.00691327i 0.000159273 + 0.000275869i
\(629\) 14.2819 0.569458
\(630\) 13.3775 23.1706i 0.532974 0.923138i
\(631\) −14.2050 −0.565491 −0.282746 0.959195i \(-0.591245\pi\)
−0.282746 + 0.959195i \(0.591245\pi\)
\(632\) 31.2478 1.24297
\(633\) 5.07262i 0.201619i
\(634\) 10.9478 0.434794
\(635\) −35.5657 20.5339i −1.41138 0.814862i
\(636\) 3.49871 2.01998i 0.138733 0.0800974i
\(637\) 12.1530i 0.481519i
\(638\) 11.8097 0.467552
\(639\) −1.36662 0.789017i −0.0540626 0.0312130i
\(640\) 0.698961i 0.0276289i
\(641\) 7.88210 + 13.6522i 0.311324 + 0.539229i 0.978649 0.205537i \(-0.0658941\pi\)
−0.667325 + 0.744767i \(0.732561\pi\)
\(642\) 6.00157 + 10.3950i 0.236863 + 0.410259i
\(643\) −30.2562 17.4684i −1.19319 0.688888i −0.234160 0.972198i \(-0.575234\pi\)
−0.959028 + 0.283310i \(0.908567\pi\)
\(644\) 19.5151 11.2671i 0.769003 0.443984i
\(645\) 22.4901i 0.885547i
\(646\) 15.5810i 0.613028i
\(647\) 15.1391 26.2218i 0.595181 1.03088i −0.398340 0.917238i \(-0.630414\pi\)
0.993521 0.113646i \(-0.0362529\pi\)
\(648\) 6.76294 + 3.90458i 0.265673 + 0.153387i
\(649\) −21.7306 + 37.6386i −0.853003 + 1.47744i
\(650\) −32.2448 −1.26475
\(651\) 3.06309i 0.120052i
\(652\) −8.21970 4.74565i −0.321908 0.185854i
\(653\) −4.77070 −0.186692 −0.0933460 0.995634i \(-0.529756\pi\)
−0.0933460 + 0.995634i \(0.529756\pi\)
\(654\) −3.59333 2.07461i −0.140510 0.0811237i
\(655\) 14.8359 + 8.56551i 0.579686 + 0.334682i
\(656\) 6.09608 + 10.5587i 0.238012 + 0.412248i
\(657\) 10.1602 0.396386
\(658\) −20.6811 11.9402i −0.806233 0.465479i
\(659\) 6.18785i 0.241044i −0.992711 0.120522i \(-0.961543\pi\)
0.992711 0.120522i \(-0.0384569\pi\)
\(660\) 15.4138i 0.599983i
\(661\) −3.41393 −0.132787 −0.0663933 0.997794i \(-0.521149\pi\)
−0.0663933 + 0.997794i \(0.521149\pi\)
\(662\) −27.4204 −1.06572
\(663\) 6.97797i 0.271002i
\(664\) −34.2694 + 19.7854i −1.32991 + 0.767823i
\(665\) 70.7706 + 40.8594i 2.74437 + 1.58446i
\(666\) 15.3029 + 8.83514i 0.592976 + 0.342355i
\(667\) 15.6159 0.604649
\(668\) −14.3804 8.30254i −0.556395 0.321235i
\(669\) 3.54575 6.14142i 0.137087 0.237441i
\(670\) 0.446684i 0.0172569i
\(671\) −28.0422 −1.08256
\(672\) −5.99876 + 10.3902i −0.231407 + 0.400809i
\(673\) 7.50295 + 12.9955i 0.289217 + 0.500939i 0.973623 0.228162i \(-0.0732716\pi\)
−0.684406 + 0.729101i \(0.739938\pi\)
\(674\) −2.86232 1.65256i −0.110253 0.0636543i
\(675\) 16.9369 + 29.3356i 0.651903 + 1.12913i
\(676\) 1.37090 + 2.37448i 0.0527271 + 0.0913260i
\(677\) 20.0389i 0.770157i −0.922884 0.385078i \(-0.874174\pi\)
0.922884 0.385078i \(-0.125826\pi\)
\(678\) −3.70721 6.42107i −0.142374 0.246600i
\(679\) 6.83757 11.8430i 0.262402 0.454493i
\(680\) −18.1407 10.4735i −0.695665 0.401642i
\(681\) −22.2534 −0.852751
\(682\) −3.60347 6.24140i −0.137984 0.238995i
\(683\) 24.6272 + 42.6556i 0.942335 + 1.63217i 0.761002 + 0.648750i \(0.224708\pi\)
0.181333 + 0.983422i \(0.441959\pi\)
\(684\) −6.65561 + 11.5278i −0.254483 + 0.440778i
\(685\) −13.5230 + 7.80750i −0.516687 + 0.298309i
\(686\) −6.87234 11.9032i −0.262387 0.454468i
\(687\) 13.6831i 0.522044i
\(688\) 12.2779i 0.468090i
\(689\) −11.2845 19.5453i −0.429905 0.744618i
\(690\) 29.5170i 1.12369i
\(691\) 19.4923 11.2539i 0.741523 0.428119i −0.0810995 0.996706i \(-0.525843\pi\)
0.822623 + 0.568587i \(0.192510\pi\)
\(692\) 10.8212i 0.411359i
\(693\) −21.2376 + 36.7847i −0.806751 + 1.39733i
\(694\) −11.7795 + 20.4026i −0.447142 + 0.774473i
\(695\) −22.4917 + 38.9568i −0.853159 + 1.47772i
\(696\) −4.21069 + 2.43104i −0.159606 + 0.0921485i
\(697\) −13.9732 −0.529273
\(698\) −7.31649 18.9569i −0.276933 0.717529i
\(699\) 19.5833 0.740707
\(700\) 16.4032 9.47038i 0.619982 0.357947i
\(701\) −12.7563 + 22.0945i −0.481798 + 0.834498i −0.999782 0.0208919i \(-0.993349\pi\)
0.517984 + 0.855390i \(0.326683\pi\)
\(702\) −10.1642 + 17.6049i −0.383623 + 0.664455i
\(703\) −26.9854 + 46.7401i −1.01777 + 1.76284i
\(704\) 48.8294i 1.84033i
\(705\) 18.7055 10.7996i 0.704490 0.406738i
\(706\) 9.63329i 0.362554i
\(707\) 14.6270 + 25.3347i 0.550106 + 0.952811i
\(708\) 5.18907i 0.195017i
\(709\) 29.9392i 1.12439i −0.827005 0.562195i \(-0.809957\pi\)
0.827005 0.562195i \(-0.190043\pi\)
\(710\) 1.36072 + 2.35684i 0.0510670 + 0.0884506i
\(711\) −19.5603 + 11.2932i −0.733570 + 0.423527i
\(712\) −4.97711 + 8.62061i −0.186525 + 0.323071i
\(713\) −4.76482 8.25292i −0.178444 0.309074i
\(714\) 2.96805 + 5.14082i 0.111077 + 0.192390i
\(715\) 86.1085 3.22027
\(716\) −11.8159 6.82193i −0.441582 0.254947i
\(717\) 3.03826 5.26242i 0.113466 0.196528i
\(718\) 13.0449 + 22.5944i 0.486831 + 0.843217i
\(719\) 6.14205i 0.229060i 0.993420 + 0.114530i \(0.0365362\pi\)
−0.993420 + 0.114530i \(0.963464\pi\)
\(720\) −6.60548 11.4410i −0.246172 0.426382i
\(721\) −8.50032 14.7230i −0.316569 0.548313i
\(722\) 33.0942 + 19.1069i 1.23164 + 0.711087i
\(723\) 4.40014 + 7.62127i 0.163643 + 0.283438i
\(724\) −0.993125 + 1.72014i −0.0369092 + 0.0639286i
\(725\) 13.1257 0.487478
\(726\) 24.8355i 0.921733i
\(727\) 12.6209 21.8601i 0.468084 0.810745i −0.531251 0.847215i \(-0.678278\pi\)
0.999335 + 0.0364693i \(0.0116111\pi\)
\(728\) 33.9440 + 19.5976i 1.25805 + 0.726334i
\(729\) 6.64122 0.245971
\(730\) −15.1745 8.76101i −0.561634 0.324259i
\(731\) −12.1862 7.03573i −0.450724 0.260226i
\(732\) 2.89954 1.67405i 0.107170 0.0618747i
\(733\) 2.33995i 0.0864280i 0.999066 + 0.0432140i \(0.0137597\pi\)
−0.999066 + 0.0432140i \(0.986240\pi\)
\(734\) −11.4997 −0.424461
\(735\) −9.35088 −0.344912
\(736\) 37.3258i 1.37585i
\(737\) 0.709137i 0.0261214i
\(738\) −14.9721 8.64414i −0.551130 0.318195i
\(739\) −15.4369 −0.567854 −0.283927 0.958846i \(-0.591637\pi\)
−0.283927 + 0.958846i \(0.591637\pi\)
\(740\) 10.5211 + 18.2231i 0.386763 + 0.669893i
\(741\) −22.8366 13.1847i −0.838923 0.484353i
\(742\) −16.6271 9.59965i −0.610399 0.352414i
\(743\) 26.3773 0.967691 0.483846 0.875153i \(-0.339240\pi\)
0.483846 + 0.875153i \(0.339240\pi\)
\(744\) 2.56959 + 1.48355i 0.0942057 + 0.0543897i
\(745\) 1.76766i 0.0647619i
\(746\) −14.8871 −0.545056
\(747\) 14.3012 24.7704i 0.523252 0.906300i
\(748\) 8.35197 + 4.82201i 0.305378 + 0.176310i
\(749\) −19.6942 + 34.1113i −0.719610 + 1.24640i
\(750\) 7.88669i 0.287981i
\(751\) 21.1875i 0.773142i 0.922260 + 0.386571i \(0.126341\pi\)
−0.922260 + 0.386571i \(0.873659\pi\)
\(752\) −10.2118 + 5.89578i −0.372385 + 0.214997i
\(753\) 7.63511 + 4.40813i 0.278239 + 0.160641i
\(754\) 3.93852 + 6.82171i 0.143432 + 0.248432i
\(755\) 10.0831 + 17.4645i 0.366962 + 0.635597i
\(756\) 11.9410i 0.434291i
\(757\) 25.5141 + 14.7306i 0.927325 + 0.535391i 0.885965 0.463753i \(-0.153497\pi\)
0.0413605 + 0.999144i \(0.486831\pi\)
\(758\) 10.6629 0.387292
\(759\) 46.8599i 1.70091i
\(760\) 68.5530 39.5791i 2.48668 1.43568i
\(761\) 10.6909 + 6.17239i 0.387544 + 0.223749i 0.681096 0.732194i \(-0.261504\pi\)
−0.293551 + 0.955943i \(0.594837\pi\)
\(762\) 11.2733 0.408390
\(763\) 13.6157i 0.492921i
\(764\) −14.8386 −0.536843
\(765\) 15.1408 0.547418
\(766\) −9.07446 + 15.7174i −0.327873 + 0.567894i
\(767\)