Properties

Label 384.2.w.a.11.19
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.19
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.845116 - 1.13392i) q^{2} +(-0.765283 + 1.55382i) q^{3} +(-0.571557 + 1.91659i) q^{4} +(-0.974296 - 0.520772i) q^{5} +(2.40866 - 0.445384i) q^{6} +(-1.27617 - 0.253846i) q^{7} +(2.65630 - 0.971642i) q^{8} +(-1.82869 - 2.37822i) q^{9} +O(q^{10})\) \(q+(-0.845116 - 1.13392i) q^{2} +(-0.765283 + 1.55382i) q^{3} +(-0.571557 + 1.91659i) q^{4} +(-0.974296 - 0.520772i) q^{5} +(2.40866 - 0.445384i) q^{6} +(-1.27617 - 0.253846i) q^{7} +(2.65630 - 0.971642i) q^{8} +(-1.82869 - 2.37822i) q^{9} +(0.232879 + 1.54489i) q^{10} +(-2.45402 + 2.01397i) q^{11} +(-2.54063 - 2.35483i) q^{12} +(2.24004 - 1.19733i) q^{13} +(0.790670 + 1.66161i) q^{14} +(1.55480 - 1.11534i) q^{15} +(-3.34665 - 2.19088i) q^{16} +(5.66801 - 2.34777i) q^{17} +(-1.15126 + 4.08345i) q^{18} +(1.05544 - 3.47933i) q^{19} +(1.55497 - 1.56968i) q^{20} +(1.37106 - 1.78867i) q^{21} +(4.35761 + 1.08064i) q^{22} +(-7.00650 - 4.68160i) q^{23} +(-0.523065 + 4.87098i) q^{24} +(-2.09980 - 3.14258i) q^{25} +(-3.25077 - 1.52815i) q^{26} +(5.09477 - 1.02143i) q^{27} +(1.21592 - 2.30081i) q^{28} +(-2.10632 - 1.72861i) q^{29} +(-2.57869 - 0.820426i) q^{30} +(6.37098 - 6.37098i) q^{31} +(0.344015 + 5.64638i) q^{32} +(-1.25131 - 5.35435i) q^{33} +(-7.45231 - 4.44294i) q^{34} +(1.11117 + 0.911915i) q^{35} +(5.60327 - 2.14556i) q^{36} +(-1.88396 - 6.21057i) q^{37} +(-4.83727 + 1.74365i) q^{38} +(0.146161 + 4.39690i) q^{39} +(-3.09402 - 0.436659i) q^{40} +(0.168224 + 0.112403i) q^{41} +(-3.18692 - 0.0430420i) q^{42} +(-1.21655 + 12.3519i) q^{43} +(-2.45733 - 5.85446i) q^{44} +(0.543173 + 3.26942i) q^{45} +(0.612747 + 11.9013i) q^{46} +(-3.43982 + 1.42482i) q^{47} +(5.96536 - 3.52343i) q^{48} +(-4.90299 - 2.03088i) q^{49} +(-1.78886 + 5.03685i) q^{50} +(-0.689632 + 10.6037i) q^{51} +(1.01448 + 4.97758i) q^{52} +(3.10329 - 2.54680i) q^{53} +(-5.46390 - 4.91384i) q^{54} +(3.43976 - 0.684212i) q^{55} +(-3.63653 + 0.565690i) q^{56} +(4.59853 + 4.30264i) q^{57} +(-0.180025 + 3.84928i) q^{58} +(-1.79401 - 0.958916i) q^{59} +(1.24899 + 3.61739i) q^{60} +(0.0439194 + 0.445921i) q^{61} +(-12.6084 - 1.83997i) q^{62} +(1.73001 + 3.49921i) q^{63} +(6.11182 - 5.16194i) q^{64} -2.80600 q^{65} +(-5.01392 + 5.94394i) q^{66} +(3.06539 - 0.301914i) q^{67} +(1.26012 + 12.2051i) q^{68} +(12.6363 - 7.30407i) q^{69} +(0.0949710 - 2.03066i) q^{70} +(-1.39622 - 0.277725i) q^{71} +(-7.16830 - 4.54042i) q^{72} +(0.208252 + 1.04695i) q^{73} +(-5.45014 + 7.38491i) q^{74} +(6.48992 - 0.857746i) q^{75} +(6.06522 + 4.01149i) q^{76} +(3.64299 - 1.94722i) q^{77} +(4.86222 - 3.88163i) q^{78} +(4.58860 - 11.0779i) q^{79} +(2.11967 + 3.87741i) q^{80} +(-2.31182 + 8.69802i) q^{81} +(-0.0147118 - 0.285746i) q^{82} +(-2.49496 + 8.22479i) q^{83} +(2.64451 + 3.65009i) q^{84} +(-6.74497 - 0.664322i) q^{85} +(15.0342 - 9.05930i) q^{86} +(4.29787 - 1.94995i) q^{87} +(-4.56176 + 7.73412i) q^{88} +(-6.42787 - 9.61998i) q^{89} +(3.24822 - 3.37895i) q^{90} +(-3.16261 + 0.959367i) q^{91} +(12.9773 - 10.7528i) q^{92} +(5.02372 + 14.7749i) q^{93} +(4.52269 + 2.69635i) q^{94} +(-2.84026 + 2.84026i) q^{95} +(-9.03671 - 3.78654i) q^{96} +(-4.81256 - 4.81256i) q^{97} +(1.84073 + 7.27593i) q^{98} +(9.27728 + 2.15329i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.845116 1.13392i −0.597587 0.801804i
\(3\) −0.765283 + 1.55382i −0.441836 + 0.897096i
\(4\) −0.571557 + 1.91659i −0.285778 + 0.958296i
\(5\) −0.974296 0.520772i −0.435719 0.232896i 0.238928 0.971037i \(-0.423204\pi\)
−0.674647 + 0.738141i \(0.735704\pi\)
\(6\) 2.40866 0.445384i 0.983330 0.181827i
\(7\) −1.27617 0.253846i −0.482347 0.0959447i −0.0520732 0.998643i \(-0.516583\pi\)
−0.430274 + 0.902699i \(0.641583\pi\)
\(8\) 2.65630 0.971642i 0.939143 0.343527i
\(9\) −1.82869 2.37822i −0.609562 0.792739i
\(10\) 0.232879 + 1.54489i 0.0736427 + 0.488537i
\(11\) −2.45402 + 2.01397i −0.739916 + 0.607233i −0.926978 0.375115i \(-0.877603\pi\)
0.187062 + 0.982348i \(0.440103\pi\)
\(12\) −2.54063 2.35483i −0.733416 0.679780i
\(13\) 2.24004 1.19733i 0.621276 0.332079i −0.130549 0.991442i \(-0.541674\pi\)
0.751825 + 0.659363i \(0.229174\pi\)
\(14\) 0.790670 + 1.66161i 0.211316 + 0.444083i
\(15\) 1.55480 1.11534i 0.401447 0.287979i
\(16\) −3.34665 2.19088i −0.836661 0.547721i
\(17\) 5.66801 2.34777i 1.37469 0.569417i 0.431637 0.902048i \(-0.357936\pi\)
0.943057 + 0.332631i \(0.107936\pi\)
\(18\) −1.15126 + 4.08345i −0.271354 + 0.962480i
\(19\) 1.05544 3.47933i 0.242136 0.798214i −0.748673 0.662940i \(-0.769308\pi\)
0.990808 0.135274i \(-0.0431915\pi\)
\(20\) 1.55497 1.56968i 0.347703 0.350990i
\(21\) 1.37106 1.78867i 0.299190 0.390319i
\(22\) 4.35761 + 1.08064i 0.929047 + 0.230392i
\(23\) −7.00650 4.68160i −1.46096 0.976180i −0.995858 0.0909212i \(-0.971019\pi\)
−0.465099 0.885259i \(-0.653981\pi\)
\(24\) −0.523065 + 4.87098i −0.106770 + 0.994284i
\(25\) −2.09980 3.14258i −0.419960 0.628515i
\(26\) −3.25077 1.52815i −0.637528 0.299695i
\(27\) 5.09477 1.02143i 0.980489 0.196575i
\(28\) 1.21592 2.30081i 0.229788 0.434812i
\(29\) −2.10632 1.72861i −0.391134 0.320995i 0.418188 0.908360i \(-0.362665\pi\)
−0.809322 + 0.587365i \(0.800165\pi\)
\(30\) −2.57869 0.820426i −0.470802 0.149789i
\(31\) 6.37098 6.37098i 1.14426 1.14426i 0.156599 0.987662i \(-0.449947\pi\)
0.987662 0.156599i \(-0.0500530\pi\)
\(32\) 0.344015 + 5.64638i 0.0608139 + 0.998149i
\(33\) −1.25131 5.35435i −0.217825 0.932073i
\(34\) −7.45231 4.44294i −1.27806 0.761958i
\(35\) 1.11117 + 0.911915i 0.187822 + 0.154142i
\(36\) 5.60327 2.14556i 0.933878 0.357593i
\(37\) −1.88396 6.21057i −0.309721 1.02101i −0.964254 0.264979i \(-0.914635\pi\)
0.654534 0.756033i \(-0.272865\pi\)
\(38\) −4.83727 + 1.74365i −0.784708 + 0.282858i
\(39\) 0.146161 + 4.39690i 0.0234045 + 0.704068i
\(40\) −3.09402 0.436659i −0.489208 0.0690418i
\(41\) 0.168224 + 0.112403i 0.0262721 + 0.0175545i 0.568637 0.822589i \(-0.307471\pi\)
−0.542365 + 0.840143i \(0.682471\pi\)
\(42\) −3.18692 0.0430420i −0.491752 0.00664153i
\(43\) −1.21655 + 12.3519i −0.185523 + 1.88364i 0.228741 + 0.973487i \(0.426539\pi\)
−0.414264 + 0.910157i \(0.635961\pi\)
\(44\) −2.45733 5.85446i −0.370457 0.882593i
\(45\) 0.543173 + 3.26942i 0.0809714 + 0.487376i
\(46\) 0.612747 + 11.9013i 0.0903446 + 1.75475i
\(47\) −3.43982 + 1.42482i −0.501750 + 0.207832i −0.619179 0.785250i \(-0.712535\pi\)
0.117429 + 0.993081i \(0.462535\pi\)
\(48\) 5.96536 3.52343i 0.861025 0.508563i
\(49\) −4.90299 2.03088i −0.700427 0.290126i
\(50\) −1.78886 + 5.03685i −0.252983 + 0.712318i
\(51\) −0.689632 + 10.6037i −0.0965679 + 1.48482i
\(52\) 1.01448 + 4.97758i 0.140682 + 0.690267i
\(53\) 3.10329 2.54680i 0.426269 0.349830i −0.396668 0.917962i \(-0.629834\pi\)
0.822937 + 0.568132i \(0.192334\pi\)
\(54\) −5.46390 4.91384i −0.743542 0.668689i
\(55\) 3.43976 0.684212i 0.463818 0.0922591i
\(56\) −3.63653 + 0.565690i −0.485952 + 0.0755935i
\(57\) 4.59853 + 4.30264i 0.609090 + 0.569899i
\(58\) −0.180025 + 3.84928i −0.0236385 + 0.505435i
\(59\) −1.79401 0.958916i −0.233560 0.124840i 0.350466 0.936575i \(-0.386023\pi\)
−0.584026 + 0.811735i \(0.698523\pi\)
\(60\) 1.24899 + 3.61739i 0.161245 + 0.467003i
\(61\) 0.0439194 + 0.445921i 0.00562331 + 0.0570944i 0.997587 0.0694296i \(-0.0221179\pi\)
−0.991964 + 0.126524i \(0.959618\pi\)
\(62\) −12.6084 1.83997i −1.60127 0.233677i
\(63\) 1.73001 + 3.49921i 0.217961 + 0.440859i
\(64\) 6.11182 5.16194i 0.763978 0.645242i
\(65\) −2.80600 −0.348041
\(66\) −5.01392 + 5.94394i −0.617170 + 0.731648i
\(67\) 3.06539 0.301914i 0.374497 0.0368847i 0.0909819 0.995853i \(-0.470999\pi\)
0.283515 + 0.958968i \(0.408499\pi\)
\(68\) 1.26012 + 12.2051i 0.152812 + 1.48009i
\(69\) 12.6363 7.30407i 1.52123 0.879307i
\(70\) 0.0949710 2.03066i 0.0113512 0.242710i
\(71\) −1.39622 0.277725i −0.165701 0.0329599i 0.111543 0.993760i \(-0.464421\pi\)
−0.277243 + 0.960800i \(0.589421\pi\)
\(72\) −7.16830 4.54042i −0.844793 0.535094i
\(73\) 0.208252 + 1.04695i 0.0243741 + 0.122537i 0.991057 0.133441i \(-0.0426027\pi\)
−0.966683 + 0.255978i \(0.917603\pi\)
\(74\) −5.45014 + 7.38491i −0.633566 + 0.858479i
\(75\) 6.48992 0.857746i 0.749392 0.0990440i
\(76\) 6.06522 + 4.01149i 0.695728 + 0.460150i
\(77\) 3.64299 1.94722i 0.415157 0.221906i
\(78\) 4.86222 3.88163i 0.550538 0.439508i
\(79\) 4.58860 11.0779i 0.516257 1.24636i −0.423929 0.905695i \(-0.639349\pi\)
0.940186 0.340660i \(-0.110651\pi\)
\(80\) 2.11967 + 3.87741i 0.236987 + 0.433507i
\(81\) −2.31182 + 8.69802i −0.256869 + 0.966446i
\(82\) −0.0147118 0.285746i −0.00162465 0.0315554i
\(83\) −2.49496 + 8.22479i −0.273858 + 0.902788i 0.706859 + 0.707354i \(0.250111\pi\)
−0.980717 + 0.195434i \(0.937389\pi\)
\(84\) 2.64451 + 3.65009i 0.288539 + 0.398257i
\(85\) −6.74497 0.664322i −0.731595 0.0720558i
\(86\) 15.0342 9.05930i 1.62118 0.976889i
\(87\) 4.29787 1.94995i 0.460780 0.209057i
\(88\) −4.56176 + 7.73412i −0.486286 + 0.824460i
\(89\) −6.42787 9.61998i −0.681352 1.01972i −0.997476 0.0709980i \(-0.977382\pi\)
0.316124 0.948718i \(-0.397618\pi\)
\(90\) 3.24822 3.37895i 0.342392 0.356173i
\(91\) −3.16261 + 0.959367i −0.331531 + 0.100569i
\(92\) 12.9773 10.7528i 1.35298 1.12106i
\(93\) 5.02372 + 14.7749i 0.520936 + 1.53209i
\(94\) 4.52269 + 2.69635i 0.466480 + 0.278107i
\(95\) −2.84026 + 2.84026i −0.291404 + 0.291404i
\(96\) −9.03671 3.78654i −0.922305 0.386462i
\(97\) −4.81256 4.81256i −0.488642 0.488642i 0.419236 0.907877i \(-0.362298\pi\)
−0.907877 + 0.419236i \(0.862298\pi\)
\(98\) 1.84073 + 7.27593i 0.185942 + 0.734980i
\(99\) 9.27728 + 2.15329i 0.932402 + 0.216414i
\(100\) 7.22319 2.22830i 0.722319 0.222830i
\(101\) −0.761972 2.51189i −0.0758191 0.249942i 0.910835 0.412770i \(-0.135439\pi\)
−0.986655 + 0.162828i \(0.947939\pi\)
\(102\) 12.6066 8.17941i 1.24824 0.809882i
\(103\) −8.68722 + 5.80462i −0.855978 + 0.571946i −0.904306 0.426886i \(-0.859611\pi\)
0.0483280 + 0.998832i \(0.484611\pi\)
\(104\) 4.78684 5.35697i 0.469388 0.525294i
\(105\) −2.26731 + 1.02868i −0.221267 + 0.100389i
\(106\) −5.51051 1.36654i −0.535228 0.132730i
\(107\) −0.925831 + 9.40012i −0.0895034 + 0.908744i 0.840652 + 0.541576i \(0.182172\pi\)
−0.930155 + 0.367167i \(0.880328\pi\)
\(108\) −0.954281 + 10.3484i −0.0918258 + 0.995775i
\(109\) 3.89941 + 1.18287i 0.373496 + 0.113299i 0.471451 0.881892i \(-0.343730\pi\)
−0.0979554 + 0.995191i \(0.531230\pi\)
\(110\) −3.68284 3.32218i −0.351145 0.316758i
\(111\) 11.0918 + 1.82552i 1.05279 + 0.173271i
\(112\) 3.71474 + 3.64547i 0.351010 + 0.344465i
\(113\) 6.80691 + 2.81951i 0.640340 + 0.265238i 0.679139 0.734009i \(-0.262353\pi\)
−0.0387991 + 0.999247i \(0.512353\pi\)
\(114\) 0.992564 8.85061i 0.0929621 0.828935i
\(115\) 4.38836 + 8.21005i 0.409217 + 0.765591i
\(116\) 4.51692 3.04895i 0.419386 0.283088i
\(117\) −6.94383 3.13777i −0.641957 0.290087i
\(118\) 0.428808 + 2.84466i 0.0394750 + 0.261872i
\(119\) −7.82931 + 1.55735i −0.717712 + 0.142762i
\(120\) 3.04629 4.47338i 0.278087 0.408361i
\(121\) −0.179817 + 0.903999i −0.0163470 + 0.0821817i
\(122\) 0.468523 0.426657i 0.0424181 0.0386277i
\(123\) −0.303393 + 0.175368i −0.0273560 + 0.0158124i
\(124\) 8.56918 + 15.8519i 0.769535 + 1.42355i
\(125\) 0.950682 + 9.65243i 0.0850316 + 0.863340i
\(126\) 2.50577 4.91894i 0.223232 0.438214i
\(127\) 10.3895i 0.921916i −0.887422 0.460958i \(-0.847506\pi\)
0.887422 0.460958i \(-0.152494\pi\)
\(128\) −11.0184 2.56789i −0.973901 0.226972i
\(129\) −18.2615 11.3430i −1.60784 0.998693i
\(130\) 2.37139 + 3.18178i 0.207985 + 0.279061i
\(131\) 16.6575 1.64062i 1.45538 0.143342i 0.660825 0.750540i \(-0.270207\pi\)
0.794550 + 0.607198i \(0.207707\pi\)
\(132\) 10.9773 + 0.662069i 0.955451 + 0.0576257i
\(133\) −2.23014 + 4.17230i −0.193378 + 0.361784i
\(134\) −2.93296 3.22076i −0.253369 0.278231i
\(135\) −5.49575 1.65804i −0.472999 0.142701i
\(136\) 12.7747 11.7436i 1.09542 1.00701i
\(137\) 1.51196 + 7.60113i 0.129175 + 0.649409i 0.990064 + 0.140616i \(0.0449082\pi\)
−0.860889 + 0.508793i \(0.830092\pi\)
\(138\) −18.9614 8.15577i −1.61410 0.694266i
\(139\) −11.3990 13.8898i −0.966853 1.17811i −0.983983 0.178261i \(-0.942953\pi\)
0.0171299 0.999853i \(-0.494547\pi\)
\(140\) −2.38287 + 1.60845i −0.201389 + 0.135939i
\(141\) 0.418527 6.43524i 0.0352463 0.541945i
\(142\) 0.865049 + 1.81791i 0.0725933 + 0.152556i
\(143\) −3.08574 + 7.44963i −0.258042 + 0.622970i
\(144\) 0.909571 + 11.9655i 0.0757976 + 0.997123i
\(145\) 1.15197 + 2.78109i 0.0956656 + 0.230957i
\(146\) 1.01117 1.12094i 0.0836847 0.0927696i
\(147\) 6.90779 6.06414i 0.569745 0.500161i
\(148\) 12.9799 0.0610791i 1.06694 0.00502067i
\(149\) 4.96397 + 0.488909i 0.406664 + 0.0400529i 0.299282 0.954165i \(-0.403253\pi\)
0.107383 + 0.994218i \(0.465753\pi\)
\(150\) −6.45736 6.63417i −0.527241 0.541678i
\(151\) 4.71593 7.05789i 0.383777 0.574363i −0.588412 0.808561i \(-0.700247\pi\)
0.972189 + 0.234199i \(0.0752466\pi\)
\(152\) −0.577093 10.2677i −0.0468084 0.832817i
\(153\) −15.9485 9.18642i −1.28936 0.742678i
\(154\) −5.28674 2.48524i −0.426018 0.200266i
\(155\) −9.52505 + 2.88939i −0.765070 + 0.232081i
\(156\) −8.51061 2.23295i −0.681394 0.178779i
\(157\) −13.8441 + 16.8691i −1.10488 + 1.34630i −0.172420 + 0.985023i \(0.555159\pi\)
−0.932459 + 0.361276i \(0.882341\pi\)
\(158\) −16.4393 + 4.15896i −1.30784 + 0.330869i
\(159\) 1.58237 + 6.77096i 0.125490 + 0.536972i
\(160\) 2.60531 5.68041i 0.205968 0.449075i
\(161\) 7.75308 + 7.75308i 0.611028 + 0.611028i
\(162\) 11.8166 4.72941i 0.928402 0.371578i
\(163\) −8.73193 + 10.6399i −0.683937 + 0.833380i −0.993056 0.117643i \(-0.962466\pi\)
0.309119 + 0.951024i \(0.399966\pi\)
\(164\) −0.311581 + 0.258171i −0.0243304 + 0.0201598i
\(165\) −1.56925 + 5.86837i −0.122166 + 0.456852i
\(166\) 11.4348 4.12181i 0.887513 0.319915i
\(167\) −3.28578 + 2.19549i −0.254261 + 0.169892i −0.676168 0.736747i \(-0.736361\pi\)
0.421907 + 0.906639i \(0.361361\pi\)
\(168\) 1.90400 6.08341i 0.146897 0.469346i
\(169\) −3.63822 + 5.44498i −0.279863 + 0.418845i
\(170\) 4.94700 + 8.20970i 0.379417 + 0.629655i
\(171\) −10.2047 + 3.85253i −0.780372 + 0.294611i
\(172\) −22.9782 9.39144i −1.75207 0.716091i
\(173\) 1.33044 + 0.403586i 0.101152 + 0.0306841i 0.340455 0.940261i \(-0.389419\pi\)
−0.239303 + 0.970945i \(0.576919\pi\)
\(174\) −5.84330 3.22551i −0.442979 0.244525i
\(175\) 1.88197 + 4.54348i 0.142264 + 0.343455i
\(176\) 12.6251 1.36355i 0.951653 0.102781i
\(177\) 2.86290 2.05371i 0.215189 0.154367i
\(178\) −5.47601 + 15.4187i −0.410444 + 1.15568i
\(179\) −10.0581 18.8174i −0.751777 1.40648i −0.908093 0.418769i \(-0.862462\pi\)
0.156316 0.987707i \(-0.450038\pi\)
\(180\) −6.57659 0.827617i −0.490190 0.0616869i
\(181\) −8.02020 9.77264i −0.596136 0.726394i 0.384305 0.923206i \(-0.374441\pi\)
−0.980441 + 0.196812i \(0.936941\pi\)
\(182\) 3.76062 + 2.77537i 0.278756 + 0.205724i
\(183\) −0.726490 0.273013i −0.0537037 0.0201817i
\(184\) −23.1602 5.62790i −1.70739 0.414894i
\(185\) −1.39876 + 7.03205i −0.102839 + 0.517007i
\(186\) 12.5080 18.1830i 0.917129 1.33324i
\(187\) −9.18111 + 17.1766i −0.671389 + 1.25608i
\(188\) −0.764746 7.40710i −0.0557748 0.540219i
\(189\) −6.76108 + 0.0102351i −0.491796 + 0.000744496i
\(190\) 5.62098 + 0.820282i 0.407788 + 0.0595095i
\(191\) 19.0352i 1.37734i −0.725074 0.688671i \(-0.758194\pi\)
0.725074 0.688671i \(-0.241806\pi\)
\(192\) 3.34343 + 13.4470i 0.241291 + 0.970453i
\(193\) 14.3674i 1.03419i −0.855928 0.517095i \(-0.827013\pi\)
0.855928 0.517095i \(-0.172987\pi\)
\(194\) −1.38989 + 9.52424i −0.0997886 + 0.683801i
\(195\) 2.14738 4.36000i 0.153777 0.312226i
\(196\) 6.69471 8.23625i 0.478193 0.588304i
\(197\) 10.4497 19.5501i 0.744514 1.39289i −0.168808 0.985649i \(-0.553992\pi\)
0.913322 0.407238i \(-0.133508\pi\)
\(198\) −5.39872 12.3395i −0.383670 0.876929i
\(199\) 1.19005 5.98278i 0.0843604 0.424108i −0.915407 0.402530i \(-0.868131\pi\)
0.999767 0.0215782i \(-0.00686908\pi\)
\(200\) −8.63115 6.30736i −0.610315 0.445997i
\(201\) −1.87677 + 4.99410i −0.132377 + 0.352257i
\(202\) −2.20433 + 2.98685i −0.155096 + 0.210154i
\(203\) 2.24922 + 2.74068i 0.157864 + 0.192358i
\(204\) −19.9289 7.38239i −1.39530 0.516870i
\(205\) −0.105363 0.197120i −0.00735887 0.0137675i
\(206\) 13.9237 + 4.94506i 0.970110 + 0.344538i
\(207\) 1.67885 + 25.2241i 0.116688 + 1.75320i
\(208\) −10.1198 0.900638i −0.701684 0.0624480i
\(209\) 4.41717 + 10.6640i 0.305542 + 0.737644i
\(210\) 3.08258 + 1.70159i 0.212719 + 0.117421i
\(211\) −25.6939 7.79417i −1.76884 0.536573i −0.773573 0.633707i \(-0.781532\pi\)
−0.995271 + 0.0971344i \(0.969032\pi\)
\(212\) 3.10747 + 7.40337i 0.213422 + 0.508466i
\(213\) 1.50004 1.95693i 0.102781 0.134087i
\(214\) 11.4414 6.89437i 0.782120 0.471290i
\(215\) 7.61780 11.4008i 0.519530 0.777531i
\(216\) 12.5408 7.66352i 0.853290 0.521436i
\(217\) −9.74769 + 6.51320i −0.661716 + 0.442145i
\(218\) −1.95417 5.42129i −0.132353 0.367176i
\(219\) −1.78614 0.477630i −0.120696 0.0322753i
\(220\) −0.654667 + 6.98369i −0.0441376 + 0.470840i
\(221\) 9.88553 12.0455i 0.664972 0.810271i
\(222\) −7.30390 14.1201i −0.490206 0.947676i
\(223\) −0.686134 0.686134i −0.0459469 0.0459469i 0.683760 0.729707i \(-0.260344\pi\)
−0.729707 + 0.683760i \(0.760344\pi\)
\(224\) 0.994290 7.29307i 0.0664338 0.487289i
\(225\) −3.63384 + 10.7406i −0.242256 + 0.716037i
\(226\) −2.55552 10.1013i −0.169991 0.671930i
\(227\) 8.71354 10.6175i 0.578338 0.704707i −0.398866 0.917009i \(-0.630596\pi\)
0.977204 + 0.212302i \(0.0680962\pi\)
\(228\) −10.8747 + 6.35430i −0.720196 + 0.420824i
\(229\) 23.8015 7.22010i 1.57285 0.477118i 0.621030 0.783787i \(-0.286714\pi\)
0.951816 + 0.306669i \(0.0992144\pi\)
\(230\) 5.60088 11.9145i 0.369311 0.785620i
\(231\) 0.237702 + 7.15070i 0.0156396 + 0.470482i
\(232\) −7.27460 2.54512i −0.477601 0.167095i
\(233\) 2.34466 3.50903i 0.153604 0.229884i −0.746685 0.665178i \(-0.768356\pi\)
0.900288 + 0.435294i \(0.143356\pi\)
\(234\) 2.31036 + 10.5255i 0.151033 + 0.688076i
\(235\) 4.09342 + 0.403166i 0.267025 + 0.0262997i
\(236\) 2.86323 2.89030i 0.186380 0.188143i
\(237\) 13.7014 + 15.6075i 0.889999 + 1.01382i
\(238\) 8.38259 + 7.56169i 0.543362 + 0.490151i
\(239\) 9.48997 + 22.9108i 0.613855 + 1.48198i 0.858733 + 0.512423i \(0.171252\pi\)
−0.244878 + 0.969554i \(0.578748\pi\)
\(240\) −7.64693 + 0.326269i −0.493607 + 0.0210606i
\(241\) −2.92356 + 7.05810i −0.188323 + 0.454652i −0.989637 0.143592i \(-0.954135\pi\)
0.801314 + 0.598244i \(0.204135\pi\)
\(242\) 1.17703 0.560086i 0.0756624 0.0360037i
\(243\) −11.7459 10.2486i −0.753501 0.657447i
\(244\) −0.879752 0.170694i −0.0563203 0.0109276i
\(245\) 3.71933 + 4.53202i 0.237619 + 0.289540i
\(246\) 0.455256 + 0.195817i 0.0290260 + 0.0124848i
\(247\) −1.80166 9.05756i −0.114637 0.576319i
\(248\) 10.7329 23.1135i 0.681540 1.46771i
\(249\) −10.8705 10.1710i −0.688887 0.644561i
\(250\) 10.1417 9.23543i 0.641415 0.584100i
\(251\) −1.96570 + 3.67757i −0.124074 + 0.232126i −0.936288 0.351234i \(-0.885762\pi\)
0.812214 + 0.583360i \(0.198262\pi\)
\(252\) −7.69536 + 1.31573i −0.484762 + 0.0828831i
\(253\) 26.6227 2.62211i 1.67375 0.164850i
\(254\) −11.7808 + 8.78031i −0.739196 + 0.550926i
\(255\) 6.19404 9.97205i 0.387886 0.624474i
\(256\) 6.40007 + 14.6642i 0.400004 + 0.916513i
\(257\) 15.6049i 0.973409i 0.873567 + 0.486705i \(0.161801\pi\)
−0.873567 + 0.486705i \(0.838199\pi\)
\(258\) 2.57107 + 30.2933i 0.160068 + 1.88598i
\(259\) 0.827720 + 8.40398i 0.0514320 + 0.522198i
\(260\) 1.60379 5.37795i 0.0994627 0.333526i
\(261\) −0.259216 + 8.17037i −0.0160451 + 0.505733i
\(262\) −15.9379 17.5018i −0.984646 1.08127i
\(263\) 4.66198 23.4373i 0.287470 1.44521i −0.519426 0.854515i \(-0.673854\pi\)
0.806896 0.590693i \(-0.201146\pi\)
\(264\) −8.52636 13.0069i −0.524761 0.800521i
\(265\) −4.34982 + 0.865234i −0.267208 + 0.0531509i
\(266\) 6.61579 0.997274i 0.405640 0.0611468i
\(267\) 19.8668 2.62571i 1.21583 0.160691i
\(268\) −1.17340 + 6.04766i −0.0716767 + 0.369420i
\(269\) 8.01805 + 15.0007i 0.488869 + 0.914610i 0.998528 + 0.0542335i \(0.0172715\pi\)
−0.509659 + 0.860376i \(0.670228\pi\)
\(270\) 2.76446 + 7.63298i 0.168240 + 0.464529i
\(271\) −7.44552 3.08403i −0.452283 0.187342i 0.144901 0.989446i \(-0.453714\pi\)
−0.597184 + 0.802104i \(0.703714\pi\)
\(272\) −24.1125 4.56080i −1.46203 0.276539i
\(273\) 0.929610 5.64830i 0.0562626 0.341850i
\(274\) 7.34131 8.13829i 0.443505 0.491652i
\(275\) 11.4820 + 3.48303i 0.692391 + 0.210034i
\(276\) 6.77656 + 28.3933i 0.407901 + 1.70908i
\(277\) −1.32811 + 13.4846i −0.0797986 + 0.810209i 0.869102 + 0.494633i \(0.164698\pi\)
−0.948900 + 0.315576i \(0.897802\pi\)
\(278\) −6.11639 + 24.6641i −0.366837 + 1.47925i
\(279\) −26.8021 3.50104i −1.60460 0.209602i
\(280\) 3.83766 + 1.34266i 0.229344 + 0.0802390i
\(281\) −9.80279 + 6.55001i −0.584785 + 0.390741i −0.812478 0.582992i \(-0.801882\pi\)
0.227693 + 0.973733i \(0.426882\pi\)
\(282\) −7.65077 + 4.96395i −0.455596 + 0.295599i
\(283\) 5.21656 + 17.1967i 0.310093 + 1.02224i 0.964053 + 0.265709i \(0.0856062\pi\)
−0.653961 + 0.756529i \(0.726894\pi\)
\(284\) 1.33030 2.51725i 0.0789391 0.149371i
\(285\) −2.23964 6.58683i −0.132665 0.390170i
\(286\) 11.0551 2.79682i 0.653702 0.165379i
\(287\) −0.186149 0.186149i −0.0109880 0.0109880i
\(288\) 12.7992 11.1436i 0.754201 0.656643i
\(289\) 14.5935 14.5935i 0.858441 0.858441i
\(290\) 2.18000 3.65659i 0.128014 0.214722i
\(291\) 11.1608 3.79486i 0.654258 0.222459i
\(292\) −2.12561 0.199260i −0.124392 0.0116608i
\(293\) 13.4004 4.06498i 0.782861 0.237478i 0.126542 0.991961i \(-0.459612\pi\)
0.656320 + 0.754483i \(0.272112\pi\)
\(294\) −12.7141 2.70799i −0.741504 0.157933i
\(295\) 1.24852 + 1.86854i 0.0726915 + 0.108790i
\(296\) −11.0388 14.6666i −0.641617 0.852478i
\(297\) −10.4456 + 12.7673i −0.606113 + 0.740834i
\(298\) −3.64075 6.04194i −0.210903 0.350000i
\(299\) −21.3003 2.09789i −1.23183 0.121324i
\(300\) −2.06541 + 12.9288i −0.119247 + 0.746444i
\(301\) 4.68800 15.4543i 0.270212 0.890770i
\(302\) −11.9886 + 0.617241i −0.689867 + 0.0355182i
\(303\) 4.48613 + 0.738338i 0.257722 + 0.0424164i
\(304\) −11.1550 + 9.33174i −0.639784 + 0.535212i
\(305\) 0.189433 0.457332i 0.0108469 0.0261867i
\(306\) 3.06165 + 25.8479i 0.175023 + 1.47763i
\(307\) 1.87057 0.999841i 0.106759 0.0570640i −0.417153 0.908836i \(-0.636972\pi\)
0.523912 + 0.851772i \(0.324472\pi\)
\(308\) 1.64985 + 8.09506i 0.0940087 + 0.461259i
\(309\) −2.37112 17.9405i −0.134889 1.02060i
\(310\) 11.3261 + 8.35879i 0.643280 + 0.474747i
\(311\) −3.29260 16.5530i −0.186706 0.938635i −0.954562 0.298013i \(-0.903676\pi\)
0.767856 0.640623i \(-0.221324\pi\)
\(312\) 4.66046 + 11.5375i 0.263847 + 0.653180i
\(313\) 29.8427 + 5.93609i 1.68681 + 0.335528i 0.942982 0.332843i \(-0.108008\pi\)
0.743829 + 0.668370i \(0.233008\pi\)
\(314\) 30.8281 + 1.44179i 1.73973 + 0.0813648i
\(315\) 0.136747 4.31021i 0.00770483 0.242853i
\(316\) 18.6091 + 15.1261i 1.04684 + 0.850909i
\(317\) 6.47231 0.637467i 0.363521 0.0358037i 0.0853921 0.996347i \(-0.472786\pi\)
0.278129 + 0.960544i \(0.410286\pi\)
\(318\) 6.34045 7.51653i 0.355555 0.421506i
\(319\) 8.65032 0.484325
\(320\) −8.64292 + 1.84639i −0.483154 + 0.103216i
\(321\) −13.8975 8.63232i −0.775684 0.481809i
\(322\) 2.23913 15.3436i 0.124782 0.855068i
\(323\) −2.18639 22.1988i −0.121654 1.23518i
\(324\) −15.3492 9.40223i −0.852734 0.522346i
\(325\) −8.46633 4.52535i −0.469628 0.251021i
\(326\) 19.4443 + 0.909383i 1.07692 + 0.0503660i
\(327\) −4.82212 + 5.15373i −0.266664 + 0.285002i
\(328\) 0.556067 + 0.135124i 0.0307037 + 0.00746096i
\(329\) 4.75148 0.945129i 0.261958 0.0521066i
\(330\) 7.98048 3.18005i 0.439311 0.175056i
\(331\) 9.51626 7.80979i 0.523061 0.429265i −0.335452 0.942057i \(-0.608889\pi\)
0.858513 + 0.512792i \(0.171389\pi\)
\(332\) −14.3375 9.48276i −0.786875 0.520434i
\(333\) −11.3249 + 15.8376i −0.620602 + 0.867897i
\(334\) 5.26638 + 1.87037i 0.288163 + 0.102342i
\(335\) −3.14383 1.30222i −0.171766 0.0711476i
\(336\) −8.50721 + 2.98221i −0.464107 + 0.162693i
\(337\) 22.3015 9.23758i 1.21484 0.503203i 0.319074 0.947730i \(-0.396628\pi\)
0.895766 + 0.444526i \(0.146628\pi\)
\(338\) 9.24890 0.476186i 0.503074 0.0259011i
\(339\) −9.59021 + 8.41896i −0.520869 + 0.457255i
\(340\) 5.12837 12.5477i 0.278125 0.680492i
\(341\) −2.80360 + 28.4655i −0.151824 + 1.54149i
\(342\) 12.9926 + 8.31547i 0.702560 + 0.449649i
\(343\) 13.3147 + 8.89660i 0.718926 + 0.480371i
\(344\) 8.77007 + 33.9923i 0.472851 + 1.83274i
\(345\) −16.1152 + 0.535699i −0.867616 + 0.0288411i
\(346\) −0.666745 1.84970i −0.0358445 0.0994403i
\(347\) 2.61658 + 8.62571i 0.140465 + 0.463053i 0.998742 0.0501341i \(-0.0159649\pi\)
−0.858277 + 0.513187i \(0.828465\pi\)
\(348\) 1.28079 + 9.35177i 0.0686575 + 0.501308i
\(349\) −21.4261 17.5840i −1.14692 0.941249i −0.148055 0.988979i \(-0.547301\pi\)
−0.998860 + 0.0477302i \(0.984801\pi\)
\(350\) 3.56147 5.97378i 0.190369 0.319312i
\(351\) 10.1895 8.38816i 0.543875 0.447727i
\(352\) −12.2158 13.1635i −0.651107 0.701618i
\(353\) −10.9862 + 10.9862i −0.584736 + 0.584736i −0.936201 0.351465i \(-0.885684\pi\)
0.351465 + 0.936201i \(0.385684\pi\)
\(354\) −4.74823 1.51068i −0.252366 0.0802917i
\(355\) 1.21570 + 0.997699i 0.0645226 + 0.0529524i
\(356\) 22.1115 6.82122i 1.17191 0.361524i
\(357\) 3.57180 13.3571i 0.189040 0.706933i
\(358\) −12.8372 + 27.3080i −0.678465 + 1.44327i
\(359\) 9.07319 + 13.5790i 0.478865 + 0.716672i 0.989724 0.142993i \(-0.0456726\pi\)
−0.510859 + 0.859664i \(0.670673\pi\)
\(360\) 4.61953 + 8.15677i 0.243471 + 0.429899i
\(361\) 4.80612 + 3.21134i 0.252953 + 0.169018i
\(362\) −4.30341 + 17.3533i −0.226182 + 0.912069i
\(363\) −1.26704 0.971217i −0.0665022 0.0509757i
\(364\) −0.0311033 6.60976i −0.00163026 0.346446i
\(365\) 0.342325 1.12850i 0.0179181 0.0590681i
\(366\) 0.304393 + 1.05451i 0.0159109 + 0.0551202i
\(367\) 15.3254 6.34799i 0.799980 0.331363i 0.0550317 0.998485i \(-0.482474\pi\)
0.744949 + 0.667122i \(0.232474\pi\)
\(368\) 13.1915 + 31.0181i 0.687652 + 1.61693i
\(369\) −0.0403085 0.605622i −0.00209837 0.0315274i
\(370\) 9.15591 4.35681i 0.475993 0.226500i
\(371\) −4.60682 + 2.46239i −0.239174 + 0.127841i
\(372\) −31.1888 + 1.18372i −1.61707 + 0.0613731i
\(373\) −23.7683 + 19.5061i −1.23068 + 1.00999i −0.231365 + 0.972867i \(0.574319\pi\)
−0.999311 + 0.0371226i \(0.988181\pi\)
\(374\) 27.2361 4.10560i 1.40834 0.212296i
\(375\) −15.7256 5.90966i −0.812069 0.305173i
\(376\) −7.75278 + 7.12703i −0.399819 + 0.367548i
\(377\) −6.78795 1.35021i −0.349597 0.0695392i
\(378\) 5.72550 + 7.65788i 0.294488 + 0.393879i
\(379\) 18.2954 + 9.77911i 0.939773 + 0.502319i 0.868802 0.495159i \(-0.164890\pi\)
0.0709705 + 0.997478i \(0.477390\pi\)
\(380\) −3.82024 7.06698i −0.195974 0.362528i
\(381\) 16.1433 + 7.95088i 0.827047 + 0.407336i
\(382\) −21.5845 + 16.0870i −1.10436 + 0.823082i
\(383\) −28.3872 −1.45052 −0.725258 0.688477i \(-0.758280\pi\)
−0.725258 + 0.688477i \(0.758280\pi\)
\(384\) 12.4222 15.1555i 0.633920 0.773398i
\(385\) −4.56341 −0.232573
\(386\) −16.2915 + 12.1422i −0.829218 + 0.618019i
\(387\) 31.6001 19.6945i 1.60632 1.00113i
\(388\) 11.9744 6.47306i 0.607906 0.328620i
\(389\) −33.8652 18.1013i −1.71704 0.917775i −0.966394 0.257065i \(-0.917245\pi\)
−0.750641 0.660710i \(-0.770255\pi\)
\(390\) −6.75869 + 1.24975i −0.342240 + 0.0632834i
\(391\) −50.7042 10.0857i −2.56422 0.510055i
\(392\) −14.9971 0.630683i −0.757467 0.0318543i
\(393\) −10.1985 + 27.1383i −0.514446 + 1.36894i
\(394\) −30.9995 + 4.67291i −1.56173 + 0.235418i
\(395\) −10.2397 + 8.40350i −0.515215 + 0.422826i
\(396\) −9.42947 + 16.5500i −0.473849 + 0.831670i
\(397\) 12.6735 6.77414i 0.636066 0.339985i −0.121646 0.992574i \(-0.538817\pi\)
0.757712 + 0.652589i \(0.226317\pi\)
\(398\) −7.78974 + 3.70672i −0.390464 + 0.185801i
\(399\) −4.77630 6.65822i −0.239114 0.333328i
\(400\) 0.142279 + 15.1175i 0.00711394 + 0.755875i
\(401\) 18.4787 7.65413i 0.922782 0.382229i 0.129846 0.991534i \(-0.458552\pi\)
0.792936 + 0.609305i \(0.208552\pi\)
\(402\) 7.24900 2.09248i 0.361547 0.104364i
\(403\) 6.64311 21.8994i 0.330917 1.09089i
\(404\) 5.24977 0.0247036i 0.261186 0.00122905i
\(405\) 6.78208 7.27051i 0.337004 0.361275i
\(406\) 1.20687 4.86663i 0.0598958 0.241527i
\(407\) 17.1312 + 11.4467i 0.849160 + 0.567390i
\(408\) 8.47117 + 28.8368i 0.419385 + 1.42763i
\(409\) 8.33011 + 12.4669i 0.411898 + 0.616448i 0.978179 0.207764i \(-0.0666185\pi\)
−0.566281 + 0.824212i \(0.691618\pi\)
\(410\) −0.134475 + 0.286063i −0.00664125 + 0.0141276i
\(411\) −12.9678 3.46771i −0.639656 0.171049i
\(412\) −6.15984 19.9675i −0.303473 0.983730i
\(413\) 2.04604 + 1.67914i 0.100679 + 0.0826251i
\(414\) 27.1834 23.2210i 1.33599 1.14125i
\(415\) 6.71407 6.71407i 0.329581 0.329581i
\(416\) 7.53118 + 12.2362i 0.369246 + 0.599931i
\(417\) 30.3056 7.08240i 1.48407 0.346827i
\(418\) 8.35912 14.0210i 0.408858 0.685792i
\(419\) −7.72356 6.33856i −0.377321 0.309659i 0.426549 0.904464i \(-0.359729\pi\)
−0.803870 + 0.594805i \(0.797229\pi\)
\(420\) −0.675670 4.93345i −0.0329693 0.240728i
\(421\) 4.93852 + 16.2801i 0.240689 + 0.793444i 0.991175 + 0.132558i \(0.0423192\pi\)
−0.750487 + 0.660886i \(0.770181\pi\)
\(422\) 12.8764 + 35.7219i 0.626813 + 1.73892i
\(423\) 9.67889 + 5.57509i 0.470604 + 0.271070i
\(424\) 5.76867 9.78034i 0.280151 0.474975i
\(425\) −19.2797 12.8823i −0.935204 0.624883i
\(426\) −3.48671 0.0470910i −0.168932 0.00228157i
\(427\) 0.0571467 0.580220i 0.00276552 0.0280788i
\(428\) −17.4870 7.14714i −0.845267 0.345470i
\(429\) −9.21389 10.4957i −0.444851 0.506739i
\(430\) −19.3656 + 0.997049i −0.933892 + 0.0480820i
\(431\) −1.27396 + 0.527690i −0.0613643 + 0.0254179i −0.413155 0.910661i \(-0.635573\pi\)
0.351790 + 0.936079i \(0.385573\pi\)
\(432\) −19.2882 7.74367i −0.928005 0.372567i
\(433\) 27.2720 + 11.2964i 1.31061 + 0.542871i 0.925061 0.379818i \(-0.124013\pi\)
0.385545 + 0.922689i \(0.374013\pi\)
\(434\) 15.6234 + 5.54871i 0.749947 + 0.266347i
\(435\) −5.20288 0.338378i −0.249459 0.0162240i
\(436\) −4.49582 + 6.79750i −0.215311 + 0.325541i
\(437\) −23.6838 + 19.4368i −1.13295 + 0.929788i
\(438\) 0.967905 + 2.42900i 0.0462483 + 0.116062i
\(439\) 34.4717 6.85684i 1.64524 0.327259i 0.716388 0.697702i \(-0.245794\pi\)
0.928855 + 0.370443i \(0.120794\pi\)
\(440\) 8.47223 5.15969i 0.403897 0.245978i
\(441\) 4.13614 + 15.3742i 0.196959 + 0.732105i
\(442\) −22.0131 1.02952i −1.04706 0.0489694i
\(443\) 1.59451 + 0.852281i 0.0757573 + 0.0404931i 0.508840 0.860861i \(-0.330074\pi\)
−0.433083 + 0.901354i \(0.642574\pi\)
\(444\) −9.83840 + 20.2151i −0.466910 + 0.959368i
\(445\) 1.25283 + 12.7202i 0.0593897 + 0.602994i
\(446\) −0.198159 + 1.35789i −0.00938311 + 0.0642977i
\(447\) −4.55851 + 7.33894i −0.215610 + 0.347120i
\(448\) −9.11006 + 5.03605i −0.430410 + 0.237931i
\(449\) 36.2815 1.71223 0.856115 0.516785i \(-0.172871\pi\)
0.856115 + 0.516785i \(0.172871\pi\)
\(450\) 15.2500 4.95653i 0.718891 0.233653i
\(451\) −0.639201 + 0.0629558i −0.0300988 + 0.00296447i
\(452\) −9.29439 + 11.4346i −0.437171 + 0.537836i
\(453\) 7.35764 + 12.7290i 0.345692 + 0.598059i
\(454\) −19.4033 0.907468i −0.910644 0.0425896i
\(455\) 3.58093 + 0.712291i 0.167877 + 0.0333927i
\(456\) 16.3957 + 6.96096i 0.767798 + 0.325977i
\(457\) 1.06000 + 5.32899i 0.0495848 + 0.249280i 0.997626 0.0688688i \(-0.0219390\pi\)
−0.948041 + 0.318148i \(0.896939\pi\)
\(458\) −28.3021 20.8872i −1.32247 0.975995i
\(459\) 26.4791 17.7508i 1.23594 0.828537i
\(460\) −18.2435 + 3.71819i −0.850608 + 0.173361i
\(461\) −11.3937 + 6.09008i −0.530659 + 0.283643i −0.714887 0.699240i \(-0.753522\pi\)
0.184227 + 0.982884i \(0.441022\pi\)
\(462\) 7.90745 6.31271i 0.367888 0.293694i
\(463\) −7.38535 + 17.8298i −0.343227 + 0.828622i 0.654159 + 0.756357i \(0.273023\pi\)
−0.997385 + 0.0722650i \(0.976977\pi\)
\(464\) 3.26192 + 10.3997i 0.151431 + 0.482796i
\(465\) 2.79977 17.0114i 0.129836 0.788883i
\(466\) −5.96047 + 0.306879i −0.276113 + 0.0142159i
\(467\) 7.50888 24.7535i 0.347469 1.14545i −0.592894 0.805281i \(-0.702015\pi\)
0.940363 0.340172i \(-0.110485\pi\)
\(468\) 9.98261 11.5151i 0.461446 0.532285i
\(469\) −3.98860 0.392842i −0.184176 0.0181398i
\(470\) −3.00225 4.98234i −0.138484 0.229818i
\(471\) −15.6168 34.4208i −0.719584 1.58603i
\(472\) −5.69714 0.804035i −0.262232 0.0370087i
\(473\) −21.8908 32.7619i −1.00654 1.50639i
\(474\) 6.11846 28.7264i 0.281030 1.31945i
\(475\) −13.1503 + 3.98910i −0.603377 + 0.183032i
\(476\) 1.49010 15.8957i 0.0682986 0.728578i
\(477\) −11.7318 2.72299i −0.537161 0.124677i
\(478\) 17.9589 30.1232i 0.821423 1.37780i
\(479\) −15.6993 + 15.6993i −0.717319 + 0.717319i −0.968055 0.250737i \(-0.919327\pi\)
0.250737 + 0.968055i \(0.419327\pi\)
\(480\) 6.83251 + 8.39528i 0.311860 + 0.383190i
\(481\) −11.6562 11.6562i −0.531478 0.531478i
\(482\) 10.4741 2.64983i 0.477081 0.120696i
\(483\) −17.9802 + 6.11356i −0.818125 + 0.278177i
\(484\) −1.62982 0.861322i −0.0740828 0.0391510i
\(485\) 2.18261 + 7.19511i 0.0991073 + 0.326713i
\(486\) −1.69442 + 21.9802i −0.0768606 + 0.997042i
\(487\) 13.8647 9.26408i 0.628269 0.419796i −0.200260 0.979743i \(-0.564179\pi\)
0.828528 + 0.559947i \(0.189179\pi\)
\(488\) 0.549939 + 1.14183i 0.0248946 + 0.0516880i
\(489\) −9.85003 21.7103i −0.445434 0.981775i
\(490\) 1.99569 8.04752i 0.0901560 0.363550i
\(491\) 0.829934 8.42646i 0.0374544 0.380281i −0.958124 0.286352i \(-0.907557\pi\)
0.995579 0.0939290i \(-0.0299427\pi\)
\(492\) −0.162703 0.681713i −0.00733520 0.0307340i
\(493\) −15.9970 4.85264i −0.720469 0.218552i
\(494\) −8.74796 + 9.69764i −0.393589 + 0.436317i
\(495\) −7.91745 6.92929i −0.355863 0.311449i
\(496\) −35.2795 + 7.36334i −1.58409 + 0.330624i
\(497\) 1.71131 + 0.708849i 0.0767629 + 0.0317962i
\(498\) −2.34632 + 20.9219i −0.105141 + 0.937534i
\(499\) −2.37569 4.44460i −0.106350 0.198968i 0.823117 0.567872i \(-0.192233\pi\)
−0.929467 + 0.368904i \(0.879733\pi\)
\(500\) −19.0431 3.69485i −0.851635 0.165239i
\(501\) −0.896833 6.78567i −0.0400676 0.303161i
\(502\) 5.83132 0.879022i 0.260265 0.0392327i
\(503\) −5.10648 + 1.01574i −0.227687 + 0.0452897i −0.307615 0.951511i \(-0.599531\pi\)
0.0799283 + 0.996801i \(0.474531\pi\)
\(504\) 7.99541 + 7.61399i 0.356144 + 0.339154i
\(505\) −0.565734 + 2.84414i −0.0251748 + 0.126562i
\(506\) −25.4725 27.9721i −1.13239 1.24351i
\(507\) −5.67623 9.82008i −0.252090 0.436125i
\(508\) 19.9124 + 5.93817i 0.883468 + 0.263464i
\(509\) 3.51328 + 35.6709i 0.155723 + 1.58108i 0.682375 + 0.731003i \(0.260947\pi\)
−0.526651 + 0.850081i \(0.676553\pi\)
\(510\) −16.5422 + 1.40398i −0.732501 + 0.0621693i
\(511\) 1.38895i 0.0614437i
\(512\) 11.2193 19.6501i 0.495826 0.868422i
\(513\) 1.82334 18.8045i 0.0805024 0.830238i
\(514\) 17.6948 13.1880i 0.780483 0.581697i
\(515\) 11.4868 1.13135i 0.506170 0.0498533i
\(516\) 32.1774 28.5167i 1.41653 1.25538i
\(517\) 5.57187 10.4242i 0.245051 0.458457i
\(518\) 8.82993 8.04091i 0.387965 0.353297i
\(519\) −1.64526 + 1.75841i −0.0722191 + 0.0771855i
\(520\) −7.45356 + 2.72643i −0.326860 + 0.119562i
\(521\) −2.80653 14.1094i −0.122957 0.618144i −0.992292 0.123922i \(-0.960453\pi\)
0.869335 0.494222i \(-0.164547\pi\)
\(522\) 9.48362 6.61098i 0.415087 0.289355i
\(523\) 3.98228 + 4.85242i 0.174133 + 0.212182i 0.852762 0.522299i \(-0.174926\pi\)
−0.678629 + 0.734481i \(0.737426\pi\)
\(524\) −6.37632 + 32.8634i −0.278551 + 1.43564i
\(525\) −8.49998 0.552811i −0.370969 0.0241266i
\(526\) −30.5160 + 14.5210i −1.33056 + 0.633144i
\(527\) 21.1532 51.0683i 0.921447 2.22457i
\(528\) −7.54307 + 20.6606i −0.328270 + 0.899137i
\(529\) 18.3720 + 44.3540i 0.798784 + 1.92843i
\(530\) 4.65721 + 4.20114i 0.202296 + 0.182486i
\(531\) 1.00016 + 6.02009i 0.0434034 + 0.261250i
\(532\) −6.72194 6.65898i −0.291433 0.288703i
\(533\) 0.511411 + 0.0503696i 0.0221517 + 0.00218175i
\(534\) −19.7671 20.3084i −0.855407 0.878829i
\(535\) 5.79735 8.67635i 0.250641 0.375111i
\(536\) 7.84923 3.78043i 0.339035 0.163290i
\(537\) 36.9360 1.22782i 1.59391 0.0529843i
\(538\) 10.2335 21.7692i 0.441196 0.938537i
\(539\) 16.1222 4.89061i 0.694431 0.210653i
\(540\) 6.31891 9.58544i 0.271923 0.412492i
\(541\) −19.4604 + 23.7125i −0.836666 + 1.01948i 0.162795 + 0.986660i \(0.447949\pi\)
−0.999461 + 0.0328211i \(0.989551\pi\)
\(542\) 2.79527 + 11.0490i 0.120067 + 0.474595i
\(543\) 21.3226 4.98308i 0.915040 0.213844i
\(544\) 15.2063 + 31.1961i 0.651963 + 1.33752i
\(545\) −3.18318 3.18318i −0.136352 0.136352i
\(546\) −7.19036 + 3.71936i −0.307719 + 0.159174i
\(547\) −2.48813 + 3.03179i −0.106385 + 0.129630i −0.823481 0.567344i \(-0.807971\pi\)
0.717096 + 0.696974i \(0.245471\pi\)
\(548\) −15.4324 1.44667i −0.659241 0.0617988i
\(549\) 0.980183 0.919900i 0.0418332 0.0392604i
\(550\) −5.75415 15.9633i −0.245358 0.680675i
\(551\) −8.23752 + 5.50413i −0.350930 + 0.234484i
\(552\) 26.4688 31.6797i 1.12659 1.34838i
\(553\) −8.66789 + 12.9724i −0.368596 + 0.551643i
\(554\) 16.4128 9.89005i 0.697315 0.420188i
\(555\) −9.85606 7.55492i −0.418366 0.320689i
\(556\) 33.1362 13.9085i 1.40529 0.589852i
\(557\) 17.0241 + 5.16421i 0.721335 + 0.218815i 0.629545 0.776964i \(-0.283241\pi\)
0.0917897 + 0.995778i \(0.470741\pi\)
\(558\) 18.6810 + 33.3502i 0.790828 + 1.41183i
\(559\) 12.0641 + 29.1253i 0.510257 + 1.23187i
\(560\) −1.72080 5.48630i −0.0727170 0.231839i
\(561\) −19.6632 27.4107i −0.830181 1.15728i
\(562\) 15.7117 + 5.58007i 0.662758 + 0.235381i
\(563\) −7.69317 14.3929i −0.324228 0.606589i 0.666015 0.745938i \(-0.267999\pi\)
−0.990243 + 0.139350i \(0.955499\pi\)
\(564\) 12.0945 + 4.48025i 0.509271 + 0.188653i
\(565\) −5.16362 6.29189i −0.217235 0.264702i
\(566\) 15.0911 20.4484i 0.634327 0.859510i
\(567\) 5.15823 10.5133i 0.216625 0.441517i
\(568\) −3.97862 + 0.618904i −0.166939 + 0.0259686i
\(569\) 3.45972 17.3932i 0.145039 0.729161i −0.837986 0.545691i \(-0.816267\pi\)
0.983025 0.183470i \(-0.0587329\pi\)
\(570\) −5.57620 + 8.10621i −0.233561 + 0.339532i
\(571\) −1.50807 + 2.82139i −0.0631106 + 0.118072i −0.911498 0.411304i \(-0.865074\pi\)
0.848388 + 0.529375i \(0.177574\pi\)
\(572\) −12.5142 10.1720i −0.523246 0.425312i
\(573\) 29.5773 + 14.5673i 1.23561 + 0.608559i
\(574\) −0.0537607 + 0.368395i −0.00224393 + 0.0153765i
\(575\) 31.8489i 1.32819i
\(576\) −23.4528 5.09568i −0.977200 0.212320i
\(577\) 32.7437i 1.36314i 0.731753 + 0.681570i \(0.238702\pi\)
−0.731753 + 0.681570i \(0.761298\pi\)
\(578\) −28.8811 4.21468i −1.20129 0.175308i
\(579\) 22.3243 + 10.9951i 0.927768 + 0.456943i
\(580\) −5.98863 + 0.618296i −0.248664 + 0.0256733i
\(581\) 5.27182 9.86289i 0.218712 0.409182i
\(582\) −13.7353 9.44837i −0.569345 0.391648i
\(583\) −2.48637 + 12.4998i −0.102975 + 0.517690i
\(584\) 1.57044 + 2.57867i 0.0649854 + 0.106706i
\(585\) 5.13129 + 6.67327i 0.212153 + 0.275906i
\(586\) −15.9343 11.7597i −0.658239 0.485787i
\(587\) −2.54160 3.09695i −0.104903 0.127825i 0.717912 0.696134i \(-0.245098\pi\)
−0.822815 + 0.568309i \(0.807598\pi\)
\(588\) 7.67428 + 16.7054i 0.316482 + 0.688919i
\(589\) −15.4425 28.8910i −0.636299 1.19043i
\(590\) 1.06363 2.99485i 0.0437891 0.123296i
\(591\) 22.3802 + 31.1983i 0.920600 + 1.28333i
\(592\) −7.30170 + 24.9121i −0.300098 + 1.02388i
\(593\) 14.5900 + 35.2233i 0.599138 + 1.44645i 0.874461 + 0.485096i \(0.161215\pi\)
−0.275323 + 0.961352i \(0.588785\pi\)
\(594\) 23.3048 + 1.05458i 0.956209 + 0.0432700i
\(595\) 8.43909 + 2.55997i 0.345969 + 0.104949i
\(596\) −3.77423 + 9.23447i −0.154598 + 0.378258i
\(597\) 8.38542 + 6.42764i 0.343192 + 0.263066i
\(598\) 15.6223 + 25.9258i 0.638845 + 1.06018i
\(599\) 5.23572 7.83580i 0.213926 0.320162i −0.708951 0.705257i \(-0.750831\pi\)
0.922877 + 0.385095i \(0.125831\pi\)
\(600\) 16.4057 8.58431i 0.669762 0.350453i
\(601\) 15.2489 10.1890i 0.622014 0.415616i −0.204235 0.978922i \(-0.565471\pi\)
0.826249 + 0.563305i \(0.190471\pi\)
\(602\) −21.4858 + 7.74483i −0.875698 + 0.315656i
\(603\) −6.32365 6.73805i −0.257519 0.274395i
\(604\) 10.8317 + 13.0725i 0.440734 + 0.531912i
\(605\) 0.645972 0.787120i 0.0262625 0.0320010i
\(606\) −2.95409 5.71090i −0.120002 0.231990i
\(607\) −13.9710 13.9710i −0.567066 0.567066i 0.364239 0.931305i \(-0.381329\pi\)
−0.931305 + 0.364239i \(0.881329\pi\)
\(608\) 20.0087 + 4.76250i 0.811462 + 0.193145i
\(609\) −5.97980 + 1.39748i −0.242314 + 0.0566286i
\(610\) −0.678671 + 0.171696i −0.0274786 + 0.00695178i
\(611\) −5.99937 + 7.31025i −0.242708 + 0.295741i
\(612\) 26.7221 25.3162i 1.08018 1.02335i
\(613\) −11.9805 + 3.63424i −0.483887 + 0.146786i −0.522797 0.852457i \(-0.675111\pi\)
0.0389100 + 0.999243i \(0.487611\pi\)
\(614\) −2.71459 1.27610i −0.109552 0.0514992i
\(615\) 0.386921 0.0128619i 0.0156022 0.000518644i
\(616\) 7.78486 8.71207i 0.313661 0.351019i
\(617\) 9.91688 14.8417i 0.399239 0.597503i −0.576325 0.817221i \(-0.695514\pi\)
0.975563 + 0.219718i \(0.0705137\pi\)
\(618\) −18.3393 + 17.8505i −0.737713 + 0.718052i
\(619\) 3.51928 + 0.346619i 0.141452 + 0.0139318i 0.168495 0.985702i \(-0.446109\pi\)
−0.0270434 + 0.999634i \(0.508609\pi\)
\(620\) −0.0936759 19.9071i −0.00376212 0.799487i
\(621\) −40.4784 16.6950i −1.62434 0.669946i
\(622\) −15.9872 + 17.7228i −0.641028 + 0.710618i
\(623\) 5.76105 + 13.9084i 0.230812 + 0.557229i
\(624\) 9.14395 15.0351i 0.366051 0.601886i
\(625\) −3.13137 + 7.55979i −0.125255 + 0.302392i
\(626\) −18.4895 38.8560i −0.738990 1.55300i
\(627\) −19.9503 1.29750i −0.796737 0.0518172i
\(628\) −24.4184 36.1751i −0.974402 1.44354i
\(629\) −25.2592 30.7785i −1.00715 1.22722i
\(630\) −5.00301 + 3.48757i −0.199325 + 0.138948i
\(631\) 6.06953 + 30.5136i 0.241624 + 1.21473i 0.890909 + 0.454182i \(0.150068\pi\)
−0.649285 + 0.760546i \(0.724932\pi\)
\(632\) 1.42497 33.8845i 0.0566823 1.34785i
\(633\) 31.7738 33.9589i 1.26290 1.34975i
\(634\) −6.19269 6.80036i −0.245943 0.270077i
\(635\) −5.41055 + 10.1224i −0.214711 + 0.401696i
\(636\) −13.8816 0.837234i −0.550440 0.0331985i
\(637\) −13.4145 + 1.32121i −0.531503 + 0.0523484i
\(638\) −7.31053 9.80879i −0.289427 0.388334i
\(639\) 1.89276 + 3.82838i 0.0748762 + 0.151448i
\(640\) 9.39793 + 8.23998i 0.371486 + 0.325714i
\(641\) 23.4109i 0.924673i −0.886704 0.462337i \(-0.847011\pi\)
0.886704 0.462337i \(-0.152989\pi\)
\(642\) 1.95666 + 23.0540i 0.0772230 + 0.909870i
\(643\) 0.526803 + 5.34872i 0.0207751 + 0.210933i 0.999968 + 0.00800133i \(0.00254693\pi\)
−0.979193 + 0.202932i \(0.934953\pi\)
\(644\) −19.2908 + 10.4282i −0.760165 + 0.410927i
\(645\) 11.8850 + 20.5615i 0.467973 + 0.809609i
\(646\) −23.3240 + 21.2398i −0.917670 + 0.835669i
\(647\) −1.27877 + 6.42883i −0.0502738 + 0.252743i −0.997747 0.0670925i \(-0.978628\pi\)
0.947473 + 0.319836i \(0.103628\pi\)
\(648\) 2.31048 + 25.3508i 0.0907641 + 0.995872i
\(649\) 6.33376 1.25986i 0.248622 0.0494539i
\(650\) 2.02364 + 13.4246i 0.0793738 + 0.526556i
\(651\) −2.66057 20.1306i −0.104276 0.788979i
\(652\) −15.4015 22.8168i −0.603170 0.893576i
\(653\) −20.7976 38.9097i −0.813875 1.52265i −0.852097 0.523383i \(-0.824670\pi\)
0.0382226 0.999269i \(-0.487830\pi\)
\(654\) 9.91918 + 1.11240i 0.387871 + 0.0434983i
\(655\) −17.0838 7.07633i −0.667518 0.276495i
\(656\) −0.316722 0.744732i −0.0123659 0.0290769i
\(657\) 2.10905 2.40982i 0.0822821 0.0940159i
\(658\) −5.08726 4.58907i −0.198322 0.178900i
\(659\) 27.4808 + 8.33621i 1.07050 + 0.324733i 0.775879 0.630881i \(-0.217307\pi\)
0.294621 + 0.955614i \(0.404807\pi\)
\(660\) −10.3504 6.36173i −0.402887 0.247630i
\(661\) 3.61798 36.7340i 0.140723 1.42879i −0.622484 0.782632i \(-0.713876\pi\)
0.763207 0.646154i \(-0.223624\pi\)
\(662\) −16.8980 4.19051i −0.656761 0.162869i
\(663\) 11.1513 + 24.5785i 0.433082 + 0.954551i
\(664\) 1.36419 + 24.2717i 0.0529408 + 0.941924i
\(665\) 4.34564 2.90366i 0.168517 0.112599i
\(666\) 27.5295 0.543076i 1.06675 0.0210438i
\(667\) 6.66527 + 21.9725i 0.258080 + 0.850777i
\(668\) −2.32984 7.55234i −0.0901443 0.292209i
\(669\) 1.59121 0.541039i 0.0615198 0.0209178i
\(670\) 1.18029 + 4.66538i 0.0455985 + 0.180239i
\(671\) −1.00585 1.00585i −0.0388304 0.0388304i
\(672\) 10.5712 + 7.12620i 0.407792 + 0.274899i
\(673\) 8.05682 8.05682i 0.310568 0.310568i −0.534562 0.845129i \(-0.679523\pi\)
0.845129 + 0.534562i \(0.179523\pi\)
\(674\) −29.3221 17.4813i −1.12944 0.673355i
\(675\) −13.9079 13.8659i −0.535317 0.533698i
\(676\) −8.35636 10.0851i −0.321398 0.387889i
\(677\) −31.8561 + 9.66343i −1.22433 + 0.371396i −0.835282 0.549822i \(-0.814695\pi\)
−0.389046 + 0.921218i \(0.627195\pi\)
\(678\) 17.6513 + 3.75955i 0.677893 + 0.144385i
\(679\) 4.92000 + 7.36329i 0.188812 + 0.282577i
\(680\) −18.5621 + 4.78906i −0.711825 + 0.183652i
\(681\) 9.82928 + 21.6646i 0.376659 + 0.830189i
\(682\) 34.6470 20.8776i 1.32670 0.799443i
\(683\) −32.1999 3.17141i −1.23210 0.121351i −0.539068 0.842262i \(-0.681223\pi\)
−0.693027 + 0.720911i \(0.743723\pi\)
\(684\) −1.55117 21.7602i −0.0593106 0.832020i
\(685\) 2.48536 8.19314i 0.0949608 0.313044i
\(686\) −1.16442 22.6165i −0.0444579 0.863502i
\(687\) −6.99616 + 42.5085i −0.266920 + 1.62180i
\(688\) 31.1329 38.6720i 1.18693 1.47436i
\(689\) 3.90214 9.42059i 0.148660 0.358896i
\(690\) 14.2267 + 17.8207i 0.541601 + 0.678422i
\(691\) −41.8243 + 22.3556i −1.59107 + 0.850445i −0.592064 + 0.805891i \(0.701687\pi\)
−0.999007 + 0.0445545i \(0.985813\pi\)
\(692\) −1.53393 + 2.31925i −0.0583114 + 0.0881645i
\(693\) −11.2928 5.10296i −0.428977 0.193846i
\(694\) 7.56957 10.2567i 0.287337 0.389340i
\(695\) 3.87263 + 19.4690i 0.146897 + 0.738503i
\(696\) 9.52177 9.35565i 0.360922 0.354625i
\(697\) 1.21739 + 0.242154i 0.0461119 + 0.00917223i
\(698\) −1.83128 + 39.1561i −0.0693148 + 1.48208i
\(699\) 3.65806 + 6.32856i 0.138360 + 0.239368i
\(700\) −9.78366 + 1.01011i −0.369788 + 0.0381787i
\(701\) 0.985536 0.0970668i 0.0372232 0.00366616i −0.0793884 0.996844i \(-0.525297\pi\)
0.116612 + 0.993178i \(0.462797\pi\)
\(702\) −18.1228 4.46513i −0.684002 0.168526i
\(703\) −23.5971 −0.889980
\(704\) −4.60260 + 24.9765i −0.173467 + 0.941338i
\(705\) −3.75907 + 6.05188i −0.141575 + 0.227927i
\(706\) 21.7421 + 3.17287i 0.818275 + 0.119413i
\(707\) 0.334774 + 3.39902i 0.0125905 + 0.127833i
\(708\) 2.29982 + 6.66083i 0.0864324 + 0.250329i
\(709\) −25.4760 13.6172i −0.956770 0.511404i −0.0823657 0.996602i \(-0.526248\pi\)
−0.874404 + 0.485198i \(0.838748\pi\)
\(710\) 0.103905 2.22168i 0.00389948 0.0833782i
\(711\) −34.7366 + 9.34523i −1.30272 + 0.350474i
\(712\) −26.4215 19.3079i −0.990187 0.723596i
\(713\) −74.4646 + 14.8119i −2.78872 + 0.554711i
\(714\) −18.1645 + 7.23817i −0.679790 + 0.270882i
\(715\) 6.88599 5.65118i 0.257521 0.211342i
\(716\) 41.8140 8.52206i 1.56266 0.318484i
\(717\) −42.8617 2.78758i −1.60070 0.104104i
\(718\) 7.72961 21.7641i 0.288466 0.812229i
\(719\) −30.2844 12.5442i −1.12942 0.467820i −0.261834 0.965113i \(-0.584327\pi\)
−0.867583 + 0.497293i \(0.834327\pi\)
\(720\) 5.34510 12.1316i 0.199200 0.452118i
\(721\) 12.5599 5.20246i 0.467753 0.193750i
\(722\) −0.420314 8.16372i −0.0156425 0.303822i
\(723\) −8.72964 9.94411i −0.324659 0.369826i
\(724\) 23.3142 9.78582i 0.866464 0.363687i
\(725\) −1.00944 + 10.2490i −0.0374896 + 0.380638i
\(726\) −0.0304896 + 2.25751i −0.00113158 + 0.0837841i
\(727\) −1.35232 0.903588i −0.0501546 0.0335122i 0.530240 0.847847i \(-0.322102\pi\)
−0.580395 + 0.814335i \(0.697102\pi\)
\(728\) −7.46867 + 5.62129i −0.276807 + 0.208339i
\(729\) 24.9133 10.4079i 0.922717 0.385479i
\(730\) −1.56893 + 0.565540i −0.0580687 + 0.0209316i
\(731\) 22.1039 + 72.8667i 0.817542 + 2.69507i
\(732\) 0.938485 1.23634i 0.0346874 0.0456965i
\(733\) −2.48775 2.04164i −0.0918871 0.0754098i 0.587328 0.809349i \(-0.300180\pi\)
−0.679215 + 0.733939i \(0.737680\pi\)
\(734\) −20.1499 12.0130i −0.743746 0.443409i
\(735\) −9.88827 + 2.31088i −0.364734 + 0.0852382i
\(736\) 24.0237 41.1719i 0.885527 1.51762i
\(737\) −6.91449 + 6.91449i −0.254699 + 0.254699i
\(738\) −0.652663 + 0.557528i −0.0240249 + 0.0205229i
\(739\) 23.7355 + 19.4792i 0.873126 + 0.716556i 0.960101 0.279655i \(-0.0902200\pi\)
−0.0869749 + 0.996211i \(0.527720\pi\)
\(740\) −12.6781 6.70007i −0.466056 0.246300i
\(741\) 15.4526 + 4.13215i 0.567664 + 0.151798i
\(742\) 6.68546 + 3.14276i 0.245431 + 0.115374i
\(743\) 28.2162 + 42.2286i 1.03515 + 1.54922i 0.819775 + 0.572686i \(0.194098\pi\)
0.215378 + 0.976531i \(0.430902\pi\)
\(744\) 27.7004 + 34.3653i 1.01555 + 1.25989i
\(745\) −4.58177 3.06144i −0.167863 0.112162i
\(746\) 42.2054 + 10.4664i 1.54525 + 0.383203i
\(747\) 24.1228 9.10699i 0.882608 0.333207i
\(748\) −27.6731 27.4139i −1.01183 1.00235i
\(749\) 3.56770 11.7611i 0.130361 0.429742i
\(750\) 6.58891 + 22.8260i 0.240593 + 0.833487i
\(751\) 32.7951 13.5842i 1.19671 0.495694i 0.306777 0.951782i \(-0.400750\pi\)
0.889935 + 0.456087i \(0.150750\pi\)
\(752\) 14.6335 + 2.76788i 0.533628 + 0.100934i
\(753\) −4.20995 5.86872i −0.153419 0.213868i
\(754\) 4.20558 + 8.83809i 0.153158 + 0.321864i
\(755\) −8.27027 + 4.42055i −0.300986 + 0.160880i
\(756\) 3.84472 12.9641i 0.139831 0.471499i
\(757\) −25.4113 + 20.8545i −0.923589 + 0.757970i −0.970543 0.240927i \(-0.922549\pi\)
0.0469540 + 0.998897i \(0.485049\pi\)
\(758\) −4.37302 29.0101i −0.158835 1.05369i
\(759\) −16.2996 + 43.3734i −0.591638 + 1.57436i
\(760\) −4.78485 + 10.3043i −0.173565 + 0.373775i
\(761\) 40.4132 + 8.03869i 1.46498 + 0.291402i 0.862225 0.506526i \(-0.169070\pi\)
0.602753 + 0.797928i \(0.294070\pi\)
\(762\) −4.62731 25.0247i −0.167630 0.906548i
\(763\) −4.67604 2.49940i −0.169284 0.0904843i
\(764\) 36.4828 + 10.8797i 1.31990 + 0.393615i
\(765\) 10.7545 + 17.2558i 0.388831 + 0.623886i
\(766\) 23.9905 + 32.1888i 0.866811 + 1.16303i
\(767\) −5.16678 −0.186562
\(768\) −27.6833 1.27774i −0.998937 0.0461064i
\(769\) −36.7524 −1.32532 −0.662662 0.748919i \(-0.730573\pi\)
−0.662662 + 0.748919i \(0.730573\pi\)
\(770\) 3.85661 + 5.17455i 0.138983 + 0.186478i
\(771\) −24.2472 11.9422i −0.873241 0.430087i
\(772\) 27.5365 + 8.21181i 0.991060 + 0.295549i
\(773\) 36.3182 + 19.4125i 1.30628 + 0.698219i 0.969899