Properties

Label 177.2.f.a.32.10
Level $177$
Weight $2$
Character 177.32
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 32.10
Character \(\chi\) \(=\) 177.32
Dual form 177.2.f.a.83.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.110481 - 0.397918i) q^{2} +(1.71736 + 0.225135i) q^{3} +(1.56758 + 0.943183i) q^{4} +(-2.16684 - 0.117483i) q^{5} +(0.279321 - 0.658494i) q^{6} +(0.253612 - 1.54697i) q^{7} +(1.14813 - 1.08756i) q^{8} +(2.89863 + 0.773273i) q^{9} +O(q^{10})\) \(q+(0.110481 - 0.397918i) q^{2} +(1.71736 + 0.225135i) q^{3} +(1.56758 + 0.943183i) q^{4} +(-2.16684 - 0.117483i) q^{5} +(0.279321 - 0.658494i) q^{6} +(0.253612 - 1.54697i) q^{7} +(1.14813 - 1.08756i) q^{8} +(2.89863 + 0.773273i) q^{9} +(-0.286144 + 0.849244i) q^{10} +(-0.507538 + 0.957318i) q^{11} +(2.47975 + 1.97270i) q^{12} +(-2.53293 + 1.00921i) q^{13} +(-0.587546 - 0.271828i) q^{14} +(-3.69478 - 0.689590i) q^{15} +(1.40795 + 2.65568i) q^{16} +(-1.49822 + 0.245621i) q^{17} +(0.627944 - 1.06798i) q^{18} +(-2.26534 - 2.66696i) q^{19} +(-3.28589 - 2.22789i) q^{20} +(0.783819 - 2.59960i) q^{21} +(0.324861 + 0.307724i) q^{22} +(1.57110 - 1.19432i) q^{23} +(2.21659 - 1.60925i) q^{24} +(-0.289306 - 0.0314639i) q^{25} +(0.121742 + 1.11940i) q^{26} +(4.80389 + 1.98057i) q^{27} +(1.85663 - 2.18579i) q^{28} +(-3.75944 + 1.04380i) q^{29} +(-0.682605 + 1.39403i) q^{30} +(-4.33588 - 3.68293i) q^{31} +(4.30125 - 0.946777i) q^{32} +(-1.08715 + 1.52979i) q^{33} +(-0.0677885 + 0.623305i) q^{34} +(-0.731278 + 3.32223i) q^{35} +(3.81450 + 3.94611i) q^{36} +(5.65369 - 5.96853i) q^{37} +(-1.31151 + 0.606769i) q^{38} +(-4.57714 + 1.16292i) q^{39} +(-2.61558 + 2.22169i) q^{40} +(-6.36507 + 8.37310i) q^{41} +(-0.947829 - 0.599103i) q^{42} +(-8.66795 + 4.59546i) q^{43} +(-1.69853 + 1.02197i) q^{44} +(-6.19001 - 2.01610i) q^{45} +(-0.301663 - 0.757118i) q^{46} +(-0.568942 - 10.4935i) q^{47} +(1.82007 + 4.87772i) q^{48} +(4.30478 + 1.45045i) q^{49} +(-0.0444830 + 0.111644i) q^{50} +(-2.62828 + 0.0845171i) q^{51} +(-4.92244 - 0.806993i) q^{52} +(0.757790 + 2.24904i) q^{53} +(1.31884 - 1.69274i) q^{54} +(1.21222 - 2.01473i) q^{55} +(-1.39125 - 2.05194i) q^{56} +(-3.28997 - 5.09013i) q^{57} +1.61127i q^{58} +(-3.19971 + 6.98297i) q^{59} +(-5.14147 - 4.56584i) q^{60} +(5.58608 + 1.55097i) q^{61} +(-1.94454 + 1.31843i) q^{62} +(1.93136 - 4.28797i) q^{63} +(-0.226995 + 4.18667i) q^{64} +(5.60700 - 1.88922i) q^{65} +(0.488622 + 0.601610i) q^{66} +(5.58110 + 5.89190i) q^{67} +(-2.58025 - 1.02807i) q^{68} +(2.96702 - 1.69736i) q^{69} +(1.24118 + 0.658033i) q^{70} +(12.8555 - 0.697005i) q^{71} +(4.16898 - 2.26463i) q^{72} +(0.608612 - 1.31549i) q^{73} +(-1.75036 - 2.90912i) q^{74} +(-0.489758 - 0.119168i) q^{75} +(-1.03567 - 6.31731i) q^{76} +(1.35222 + 1.02793i) q^{77} +(-0.0429410 + 1.94981i) q^{78} +(2.11031 - 3.11247i) q^{79} +(-2.73880 - 5.91983i) q^{80} +(7.80410 + 4.48286i) q^{81} +(2.62859 + 3.45785i) q^{82} +(10.1680 + 2.23815i) q^{83} +(3.68060 - 3.33580i) q^{84} +(3.27526 - 0.356206i) q^{85} +(0.870968 + 3.95685i) q^{86} +(-6.69130 + 0.946204i) q^{87} +(0.458427 + 1.65110i) q^{88} +(-2.28146 - 8.21709i) q^{89} +(-1.48612 + 2.24038i) q^{90} +(0.918833 + 4.17430i) q^{91} +(3.58929 - 0.390358i) q^{92} +(-6.61710 - 7.30106i) q^{93} +(-4.23842 - 0.932946i) q^{94} +(4.59530 + 6.04501i) q^{95} +(7.59994 - 0.657593i) q^{96} +(-0.449682 - 0.971972i) q^{97} +(1.05276 - 1.55270i) q^{98} +(-2.21143 + 2.38244i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{5}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.110481 0.397918i 0.0781221 0.281370i −0.914163 0.405347i \(-0.867151\pi\)
0.992285 + 0.123976i \(0.0395646\pi\)
\(3\) 1.71736 + 0.225135i 0.991516 + 0.129982i
\(4\) 1.56758 + 0.943183i 0.783791 + 0.471591i
\(5\) −2.16684 0.117483i −0.969039 0.0525398i −0.437181 0.899373i \(-0.644023\pi\)
−0.531858 + 0.846834i \(0.678506\pi\)
\(6\) 0.279321 0.658494i 0.114032 0.268829i
\(7\) 0.253612 1.54697i 0.0958565 0.584699i −0.894599 0.446869i \(-0.852539\pi\)
0.990456 0.137830i \(-0.0440127\pi\)
\(8\) 1.14813 1.08756i 0.405924 0.384512i
\(9\) 2.89863 + 0.773273i 0.966210 + 0.257758i
\(10\) −0.286144 + 0.849244i −0.0904865 + 0.268554i
\(11\) −0.507538 + 0.957318i −0.153028 + 0.288642i −0.948159 0.317796i \(-0.897057\pi\)
0.795131 + 0.606438i \(0.207402\pi\)
\(12\) 2.47975 + 1.97270i 0.715843 + 0.569469i
\(13\) −2.53293 + 1.00921i −0.702507 + 0.279904i −0.693913 0.720059i \(-0.744115\pi\)
−0.00859390 + 0.999963i \(0.502736\pi\)
\(14\) −0.587546 0.271828i −0.157028 0.0726491i
\(15\) −3.69478 0.689590i −0.953989 0.178051i
\(16\) 1.40795 + 2.65568i 0.351987 + 0.663919i
\(17\) −1.49822 + 0.245621i −0.363372 + 0.0595718i −0.340702 0.940171i \(-0.610665\pi\)
−0.0226696 + 0.999743i \(0.507217\pi\)
\(18\) 0.627944 1.06798i 0.148008 0.251726i
\(19\) −2.26534 2.66696i −0.519704 0.611843i 0.438219 0.898868i \(-0.355609\pi\)
−0.957923 + 0.287025i \(0.907334\pi\)
\(20\) −3.28589 2.22789i −0.734747 0.498171i
\(21\) 0.783819 2.59960i 0.171043 0.567279i
\(22\) 0.324861 + 0.307724i 0.0692605 + 0.0656070i
\(23\) 1.57110 1.19432i 0.327597 0.249033i −0.428428 0.903576i \(-0.640932\pi\)
0.756024 + 0.654544i \(0.227139\pi\)
\(24\) 2.21659 1.60925i 0.452460 0.328487i
\(25\) −0.289306 0.0314639i −0.0578612 0.00629279i
\(26\) 0.121742 + 1.11940i 0.0238755 + 0.219531i
\(27\) 4.80389 + 1.98057i 0.924509 + 0.381160i
\(28\) 1.85663 2.18579i 0.350870 0.413076i
\(29\) −3.75944 + 1.04380i −0.698111 + 0.193830i −0.598413 0.801188i \(-0.704202\pi\)
−0.0996987 + 0.995018i \(0.531788\pi\)
\(30\) −0.682605 + 1.39403i −0.124626 + 0.254515i
\(31\) −4.33588 3.68293i −0.778747 0.661474i 0.167153 0.985931i \(-0.446543\pi\)
−0.945900 + 0.324457i \(0.894818\pi\)
\(32\) 4.30125 0.946777i 0.760361 0.167368i
\(33\) −1.08715 + 1.52979i −0.189248 + 0.266303i
\(34\) −0.0677885 + 0.623305i −0.0116256 + 0.106896i
\(35\) −0.731278 + 3.32223i −0.123609 + 0.561560i
\(36\) 3.81450 + 3.94611i 0.635750 + 0.657684i
\(37\) 5.65369 5.96853i 0.929461 0.981220i −0.0704059 0.997518i \(-0.522429\pi\)
0.999867 + 0.0162980i \(0.00518806\pi\)
\(38\) −1.31151 + 0.606769i −0.212755 + 0.0984309i
\(39\) −4.57714 + 1.16292i −0.732930 + 0.186217i
\(40\) −2.61558 + 2.22169i −0.413559 + 0.351280i
\(41\) −6.36507 + 8.37310i −0.994056 + 1.30766i −0.0428571 + 0.999081i \(0.513646\pi\)
−0.951199 + 0.308578i \(0.900147\pi\)
\(42\) −0.947829 0.599103i −0.146253 0.0924435i
\(43\) −8.66795 + 4.59546i −1.32185 + 0.700801i −0.971773 0.235920i \(-0.924190\pi\)
−0.350078 + 0.936721i \(0.613845\pi\)
\(44\) −1.69853 + 1.02197i −0.256064 + 0.154068i
\(45\) −6.19001 2.01610i −0.922753 0.300542i
\(46\) −0.301663 0.757118i −0.0444778 0.111631i
\(47\) −0.568942 10.4935i −0.0829887 1.53064i −0.682865 0.730544i \(-0.739266\pi\)
0.599877 0.800093i \(-0.295216\pi\)
\(48\) 1.82007 + 4.87772i 0.262704 + 0.704038i
\(49\) 4.30478 + 1.45045i 0.614969 + 0.207207i
\(50\) −0.0444830 + 0.111644i −0.00629085 + 0.0157888i
\(51\) −2.62828 + 0.0845171i −0.368032 + 0.0118348i
\(52\) −4.92244 0.806993i −0.682619 0.111910i
\(53\) 0.757790 + 2.24904i 0.104090 + 0.308929i 0.987025 0.160567i \(-0.0513321\pi\)
−0.882935 + 0.469496i \(0.844436\pi\)
\(54\) 1.31884 1.69274i 0.179472 0.230352i
\(55\) 1.21222 2.01473i 0.163456 0.271666i
\(56\) −1.39125 2.05194i −0.185913 0.274201i
\(57\) −3.28997 5.09013i −0.435767 0.674204i
\(58\) 1.61127i 0.211570i
\(59\) −3.19971 + 6.98297i −0.416567 + 0.909105i
\(60\) −5.14147 4.56584i −0.663761 0.589448i
\(61\) 5.58608 + 1.55097i 0.715224 + 0.198581i 0.606032 0.795440i \(-0.292760\pi\)
0.109191 + 0.994021i \(0.465174\pi\)
\(62\) −1.94454 + 1.31843i −0.246957 + 0.167441i
\(63\) 1.93136 4.28797i 0.243328 0.540234i
\(64\) −0.226995 + 4.18667i −0.0283743 + 0.523334i
\(65\) 5.60700 1.88922i 0.695463 0.234329i
\(66\) 0.488622 + 0.601610i 0.0601452 + 0.0740531i
\(67\) 5.58110 + 5.89190i 0.681840 + 0.719810i 0.971426 0.237342i \(-0.0762763\pi\)
−0.289586 + 0.957152i \(0.593518\pi\)
\(68\) −2.58025 1.02807i −0.312901 0.124671i
\(69\) 2.96702 1.69736i 0.357187 0.204338i
\(70\) 1.24118 + 0.658033i 0.148350 + 0.0786500i
\(71\) 12.8555 0.697005i 1.52567 0.0827193i 0.727899 0.685684i \(-0.240497\pi\)
0.797768 + 0.602965i \(0.206014\pi\)
\(72\) 4.16898 2.26463i 0.491319 0.266889i
\(73\) 0.608612 1.31549i 0.0712326 0.153967i −0.868688 0.495359i \(-0.835036\pi\)
0.939921 + 0.341392i \(0.110899\pi\)
\(74\) −1.75036 2.90912i −0.203475 0.338178i
\(75\) −0.489758 0.119168i −0.0565524 0.0137603i
\(76\) −1.03567 6.31731i −0.118800 0.724645i
\(77\) 1.35222 + 1.02793i 0.154100 + 0.117144i
\(78\) −0.0429410 + 1.94981i −0.00486211 + 0.220772i
\(79\) 2.11031 3.11247i 0.237428 0.350181i −0.690243 0.723577i \(-0.742497\pi\)
0.927672 + 0.373397i \(0.121807\pi\)
\(80\) −2.73880 5.91983i −0.306208 0.661857i
\(81\) 7.80410 + 4.48286i 0.867122 + 0.498096i
\(82\) 2.62859 + 3.45785i 0.290279 + 0.381855i
\(83\) 10.1680 + 2.23815i 1.11609 + 0.245669i 0.734463 0.678648i \(-0.237434\pi\)
0.381624 + 0.924318i \(0.375365\pi\)
\(84\) 3.68060 3.33580i 0.401586 0.363965i
\(85\) 3.27526 0.356206i 0.355252 0.0386359i
\(86\) 0.870968 + 3.95685i 0.0939189 + 0.426678i
\(87\) −6.69130 + 0.946204i −0.717383 + 0.101444i
\(88\) 0.458427 + 1.65110i 0.0488685 + 0.176008i
\(89\) −2.28146 8.21709i −0.241835 0.871010i −0.980431 0.196862i \(-0.936925\pi\)
0.738596 0.674148i \(-0.235489\pi\)
\(90\) −1.48612 + 2.24038i −0.156651 + 0.236156i
\(91\) 0.918833 + 4.17430i 0.0963199 + 0.437586i
\(92\) 3.58929 0.390358i 0.374209 0.0406977i
\(93\) −6.61710 7.30106i −0.686161 0.757085i
\(94\) −4.23842 0.932946i −0.437159 0.0962260i
\(95\) 4.59530 + 6.04501i 0.471468 + 0.620205i
\(96\) 7.59994 0.657593i 0.775665 0.0671153i
\(97\) −0.449682 0.971972i −0.0456583 0.0986888i 0.883404 0.468612i \(-0.155246\pi\)
−0.929062 + 0.369924i \(0.879384\pi\)
\(98\) 1.05276 1.55270i 0.106345 0.156847i
\(99\) −2.21143 + 2.38244i −0.222257 + 0.239445i
\(100\) −0.423835 0.322191i −0.0423835 0.0322191i
\(101\) −0.988714 6.03089i −0.0983808 0.600096i −0.989296 0.145926i \(-0.953384\pi\)
0.890915 0.454170i \(-0.150064\pi\)
\(102\) −0.256745 + 1.05518i −0.0254215 + 0.104478i
\(103\) 1.81925 + 3.02361i 0.179256 + 0.297925i 0.933437 0.358741i \(-0.116794\pi\)
−0.754182 + 0.656666i \(0.771966\pi\)
\(104\) −1.81054 + 3.91342i −0.177538 + 0.383742i
\(105\) −2.00382 + 5.54082i −0.195552 + 0.540729i
\(106\) 0.978655 0.0530611i 0.0950554 0.00515375i
\(107\) 11.7740 + 6.24220i 1.13824 + 0.603456i 0.927402 0.374066i \(-0.122037\pi\)
0.210836 + 0.977521i \(0.432381\pi\)
\(108\) 5.66245 + 7.63565i 0.544870 + 0.734741i
\(109\) −14.3233 5.70694i −1.37193 0.546625i −0.436358 0.899773i \(-0.643732\pi\)
−0.935568 + 0.353148i \(0.885111\pi\)
\(110\) −0.667768 0.704954i −0.0636692 0.0672147i
\(111\) 11.0531 8.97725i 1.04912 0.852083i
\(112\) 4.46532 1.50454i 0.421933 0.142166i
\(113\) 1.08297 19.9742i 0.101877 1.87901i −0.287288 0.957844i \(-0.592754\pi\)
0.389165 0.921168i \(-0.372763\pi\)
\(114\) −2.38893 + 0.746772i −0.223744 + 0.0699416i
\(115\) −3.54463 + 2.40332i −0.330538 + 0.224110i
\(116\) −6.87774 1.90959i −0.638582 0.177301i
\(117\) −8.12241 + 0.966681i −0.750917 + 0.0893697i
\(118\) 2.42514 + 2.04471i 0.223252 + 0.188231i
\(119\) 2.37999i 0.218173i
\(120\) −4.99206 + 3.22658i −0.455710 + 0.294545i
\(121\) 5.51419 + 8.13283i 0.501290 + 0.739348i
\(122\) 1.23431 2.05145i 0.111750 0.185729i
\(123\) −12.8162 + 12.9466i −1.15559 + 1.16736i
\(124\) −3.32317 9.86282i −0.298430 0.885707i
\(125\) 11.3304 + 1.85752i 1.01342 + 0.166141i
\(126\) −1.49288 1.24226i −0.132996 0.110670i
\(127\) −2.79055 + 7.00376i −0.247622 + 0.621483i −0.999275 0.0380751i \(-0.987877\pi\)
0.751653 + 0.659558i \(0.229257\pi\)
\(128\) 9.98822 + 3.36542i 0.882842 + 0.297464i
\(129\) −15.9206 + 5.94058i −1.40173 + 0.523039i
\(130\) −0.132285 2.43985i −0.0116021 0.213989i
\(131\) 2.29661 + 5.76406i 0.200656 + 0.503609i 0.994527 0.104477i \(-0.0333169\pi\)
−0.793871 + 0.608086i \(0.791938\pi\)
\(132\) −3.14707 + 1.37269i −0.273917 + 0.119478i
\(133\) −4.70022 + 2.82803i −0.407561 + 0.245221i
\(134\) 2.96110 1.56987i 0.255800 0.135617i
\(135\) −10.1766 4.85594i −0.875859 0.417933i
\(136\) −1.45302 + 1.91142i −0.124595 + 0.163903i
\(137\) 11.1732 9.49064i 0.954595 0.810840i −0.0274238 0.999624i \(-0.508730\pi\)
0.982019 + 0.188784i \(0.0604545\pi\)
\(138\) −0.347610 1.36816i −0.0295905 0.116465i
\(139\) 3.29105 1.52260i 0.279144 0.129146i −0.275322 0.961352i \(-0.588785\pi\)
0.554466 + 0.832206i \(0.312923\pi\)
\(140\) −4.27981 + 4.51814i −0.361710 + 0.381853i
\(141\) 1.38538 18.1492i 0.116670 1.52844i
\(142\) 1.14294 5.19244i 0.0959136 0.435740i
\(143\) 0.319421 2.93703i 0.0267113 0.245607i
\(144\) 2.02756 + 8.78655i 0.168963 + 0.732212i
\(145\) 8.26874 1.82009i 0.686681 0.151150i
\(146\) −0.456218 0.387515i −0.0377569 0.0320710i
\(147\) 7.06630 + 3.46010i 0.582819 + 0.285384i
\(148\) 14.4920 4.02370i 1.19124 0.330746i
\(149\) −11.6854 + 13.7572i −0.957308 + 1.12703i 0.0345146 + 0.999404i \(0.489011\pi\)
−0.991822 + 0.127626i \(0.959264\pi\)
\(150\) −0.101528 + 0.181718i −0.00828973 + 0.0148372i
\(151\) −0.545456 5.01539i −0.0443886 0.408146i −0.995161 0.0982567i \(-0.968673\pi\)
0.950773 0.309890i \(-0.100292\pi\)
\(152\) −5.50139 0.598312i −0.446222 0.0485295i
\(153\) −4.53272 0.446570i −0.366449 0.0361031i
\(154\) 0.558428 0.424506i 0.0449994 0.0342077i
\(155\) 8.96247 + 8.48970i 0.719883 + 0.681909i
\(156\) −8.27190 2.49411i −0.662282 0.199688i
\(157\) −17.2164 11.6730i −1.37402 0.931608i −0.999991 0.00418976i \(-0.998666\pi\)
−0.374027 0.927418i \(-0.622023\pi\)
\(158\) −1.00536 1.18360i −0.0799821 0.0941622i
\(159\) 0.795059 + 4.03301i 0.0630523 + 0.319838i
\(160\) −9.43134 + 1.54619i −0.745613 + 0.122237i
\(161\) −1.44912 2.73333i −0.114207 0.215417i
\(162\) 2.64602 2.61012i 0.207891 0.205070i
\(163\) 15.1414 + 7.00515i 1.18597 + 0.548686i 0.910855 0.412727i \(-0.135424\pi\)
0.275110 + 0.961413i \(0.411286\pi\)
\(164\) −17.8751 + 7.12210i −1.39581 + 0.556143i
\(165\) 2.53540 3.18709i 0.197381 0.248115i
\(166\) 2.01398 3.79877i 0.156315 0.294842i
\(167\) −5.96341 + 17.6988i −0.461463 + 1.36957i 0.424337 + 0.905504i \(0.360507\pi\)
−0.885800 + 0.464068i \(0.846389\pi\)
\(168\) −1.92730 3.83712i −0.148695 0.296040i
\(169\) −4.04073 + 3.82759i −0.310826 + 0.294430i
\(170\) 0.220114 1.34264i 0.0168820 0.102976i
\(171\) −4.50408 9.48226i −0.344436 0.725126i
\(172\) −17.9221 0.971707i −1.36655 0.0740920i
\(173\) 6.34719 + 3.81898i 0.482568 + 0.290352i 0.735976 0.677008i \(-0.236724\pi\)
−0.253408 + 0.967360i \(0.581551\pi\)
\(174\) −0.362753 + 2.76713i −0.0275002 + 0.209775i
\(175\) −0.122045 + 0.439567i −0.00922576 + 0.0332282i
\(176\) −3.25692 −0.245499
\(177\) −7.06716 + 11.2719i −0.531200 + 0.847246i
\(178\) −3.52179 −0.263969
\(179\) 0.168600 0.607243i 0.0126018 0.0453875i −0.956982 0.290148i \(-0.906296\pi\)
0.969584 + 0.244760i \(0.0787093\pi\)
\(180\) −7.80180 8.99871i −0.581512 0.670724i
\(181\) 2.99237 + 1.80045i 0.222421 + 0.133827i 0.622404 0.782696i \(-0.286156\pi\)
−0.399982 + 0.916523i \(0.630984\pi\)
\(182\) 1.76254 + 0.0955623i 0.130648 + 0.00708355i
\(183\) 9.24411 + 3.92118i 0.683344 + 0.289862i
\(184\) 0.504924 3.07990i 0.0372235 0.227053i
\(185\) −12.9518 + 12.2686i −0.952238 + 0.902007i
\(186\) −3.63629 + 1.82643i −0.266626 + 0.133920i
\(187\) 0.525267 1.55894i 0.0384113 0.114001i
\(188\) 9.00544 16.9861i 0.656789 1.23884i
\(189\) 4.28220 6.92916i 0.311484 0.504022i
\(190\) 2.91311 1.16069i 0.211339 0.0842053i
\(191\) −2.82095 1.30511i −0.204116 0.0944343i 0.315168 0.949036i \(-0.397939\pi\)
−0.519284 + 0.854602i \(0.673801\pi\)
\(192\) −1.33240 + 7.13890i −0.0961574 + 0.515206i
\(193\) −3.71262 7.00274i −0.267240 0.504068i 0.713181 0.700980i \(-0.247254\pi\)
−0.980421 + 0.196912i \(0.936909\pi\)
\(194\) −0.436447 + 0.0715518i −0.0313350 + 0.00513712i
\(195\) 10.0546 1.98213i 0.720021 0.141943i
\(196\) 5.38006 + 6.33390i 0.384290 + 0.452421i
\(197\) −18.0471 12.2362i −1.28580 0.871796i −0.289456 0.957191i \(-0.593474\pi\)
−0.996347 + 0.0853955i \(0.972785\pi\)
\(198\) 0.703695 + 1.14318i 0.0500094 + 0.0812426i
\(199\) −7.60676 7.20551i −0.539229 0.510785i 0.368903 0.929468i \(-0.379733\pi\)
−0.908133 + 0.418683i \(0.862492\pi\)
\(200\) −0.366379 + 0.278514i −0.0259069 + 0.0196939i
\(201\) 8.25827 + 11.3750i 0.582493 + 0.802330i
\(202\) −2.50903 0.272874i −0.176535 0.0191993i
\(203\) 0.661290 + 6.08046i 0.0464134 + 0.426765i
\(204\) −4.19976 2.34646i −0.294042 0.164285i
\(205\) 14.7758 17.3954i 1.03198 1.21495i
\(206\) 1.40414 0.389858i 0.0978312 0.0271627i
\(207\) 5.47757 2.24700i 0.380717 0.156177i
\(208\) −6.24637 5.30571i −0.433108 0.367885i
\(209\) 3.70288 0.815065i 0.256133 0.0563792i
\(210\) 1.98341 + 1.40951i 0.136868 + 0.0972655i
\(211\) −2.07923 + 19.1182i −0.143140 + 1.31615i 0.673578 + 0.739116i \(0.264757\pi\)
−0.816718 + 0.577037i \(0.804209\pi\)
\(212\) −0.933358 + 4.24029i −0.0641033 + 0.291224i
\(213\) 22.2344 + 1.69721i 1.52348 + 0.116291i
\(214\) 3.78469 3.99545i 0.258716 0.273123i
\(215\) 19.3219 8.93928i 1.31774 0.609654i
\(216\) 7.66947 2.95059i 0.521841 0.200762i
\(217\) −6.79700 + 5.77343i −0.461411 + 0.391926i
\(218\) −3.85335 + 5.06900i −0.260982 + 0.343316i
\(219\) 1.34137 2.12215i 0.0906412 0.143402i
\(220\) 3.80051 2.01490i 0.256230 0.135845i
\(221\) 3.54700 2.13416i 0.238597 0.143559i
\(222\) −2.35105 5.39006i −0.157792 0.361757i
\(223\) 5.50442 + 13.8150i 0.368603 + 0.925124i 0.989928 + 0.141571i \(0.0452154\pi\)
−0.621325 + 0.783553i \(0.713405\pi\)
\(224\) −0.373782 6.89401i −0.0249744 0.460625i
\(225\) −0.814261 0.314915i −0.0542841 0.0209943i
\(226\) −7.82843 2.63771i −0.520740 0.175458i
\(227\) −0.0477030 + 0.119726i −0.00316616 + 0.00794646i −0.930551 0.366162i \(-0.880672\pi\)
0.927385 + 0.374108i \(0.122051\pi\)
\(228\) −0.356370 11.0822i −0.0236012 0.733939i
\(229\) −10.0827 1.65297i −0.666281 0.109231i −0.180856 0.983510i \(-0.557887\pi\)
−0.485425 + 0.874278i \(0.661335\pi\)
\(230\) 0.564707 + 1.67599i 0.0372357 + 0.110512i
\(231\) 2.09082 + 2.06976i 0.137566 + 0.136180i
\(232\) −3.18112 + 5.28706i −0.208851 + 0.347112i
\(233\) −11.6939 17.2471i −0.766090 1.12990i −0.987943 0.154818i \(-0.950521\pi\)
0.221853 0.975080i \(-0.428789\pi\)
\(234\) −0.512715 + 3.33885i −0.0335172 + 0.218267i
\(235\) 22.8046i 1.48761i
\(236\) −11.6020 + 7.92846i −0.755228 + 0.516099i
\(237\) 4.32488 4.87012i 0.280931 0.316349i
\(238\) 0.947041 + 0.262945i 0.0613875 + 0.0170442i
\(239\) −6.23034 + 4.22428i −0.403008 + 0.273246i −0.745806 0.666163i \(-0.767935\pi\)
0.342799 + 0.939409i \(0.388625\pi\)
\(240\) −3.37074 10.7831i −0.217581 0.696043i
\(241\) 0.233329 4.30350i 0.0150301 0.277213i −0.981352 0.192221i \(-0.938431\pi\)
0.996382 0.0849918i \(-0.0270864\pi\)
\(242\) 3.84541 1.29567i 0.247193 0.0832889i
\(243\) 12.3932 + 9.45565i 0.795022 + 0.606580i
\(244\) 7.29379 + 7.69996i 0.466937 + 0.492939i
\(245\) −9.15737 3.64863i −0.585043 0.233102i
\(246\) 3.73574 + 6.53014i 0.238182 + 0.416347i
\(247\) 8.42946 + 4.46901i 0.536353 + 0.284357i
\(248\) −8.98357 + 0.487075i −0.570457 + 0.0309293i
\(249\) 16.9583 + 6.13289i 1.07469 + 0.388656i
\(250\) 1.99093 4.30333i 0.125918 0.272166i
\(251\) −12.3492 20.5245i −0.779475 1.29550i −0.950653 0.310257i \(-0.899585\pi\)
0.171178 0.985240i \(-0.445243\pi\)
\(252\) 7.07190 4.90012i 0.445488 0.308679i
\(253\) 0.345950 + 2.11020i 0.0217497 + 0.132667i
\(254\) 2.47862 + 1.88420i 0.155522 + 0.118225i
\(255\) 5.70498 + 0.125642i 0.357260 + 0.00786800i
\(256\) −2.26324 + 3.33803i −0.141452 + 0.208627i
\(257\) 8.98292 + 19.4163i 0.560339 + 1.21115i 0.956165 + 0.292828i \(0.0945962\pi\)
−0.395826 + 0.918325i \(0.629542\pi\)
\(258\) 0.604939 + 6.99140i 0.0376618 + 0.435266i
\(259\) −7.79927 10.2598i −0.484623 0.637511i
\(260\) 10.5713 + 2.32692i 0.655605 + 0.144310i
\(261\) −11.7044 + 0.118524i −0.724483 + 0.00733646i
\(262\) 2.54736 0.277042i 0.157376 0.0171157i
\(263\) −2.79350 12.6910i −0.172254 0.782559i −0.980939 0.194317i \(-0.937751\pi\)
0.808684 0.588243i \(-0.200180\pi\)
\(264\) 0.415561 + 2.93874i 0.0255760 + 0.180867i
\(265\) −1.37778 4.96233i −0.0846367 0.304834i
\(266\) 0.606036 + 2.18275i 0.0371585 + 0.133833i
\(267\) −2.06814 14.6253i −0.126568 0.895055i
\(268\) 3.19170 + 14.5000i 0.194964 + 0.885730i
\(269\) −13.0815 + 1.42269i −0.797590 + 0.0867432i −0.497834 0.867273i \(-0.665871\pi\)
−0.299757 + 0.954016i \(0.596905\pi\)
\(270\) −3.05659 + 3.51295i −0.186018 + 0.213791i
\(271\) 17.5991 + 3.87387i 1.06907 + 0.235321i 0.714448 0.699688i \(-0.246678\pi\)
0.354624 + 0.935009i \(0.384609\pi\)
\(272\) −2.76171 3.63297i −0.167453 0.220281i
\(273\) 0.638184 + 7.37562i 0.0386247 + 0.446393i
\(274\) −2.54206 5.49457i −0.153571 0.331939i
\(275\) 0.176955 0.260989i 0.0106708 0.0157382i
\(276\) 6.25197 + 0.137688i 0.376324 + 0.00828786i
\(277\) 20.8460 + 15.8467i 1.25252 + 0.952139i 0.999881 0.0154229i \(-0.00490947\pi\)
0.252636 + 0.967561i \(0.418703\pi\)
\(278\) −0.242271 1.47779i −0.0145305 0.0886319i
\(279\) −9.72020 14.0283i −0.581933 0.839850i
\(280\) 2.77354 + 4.60966i 0.165751 + 0.275480i
\(281\) 6.57283 14.2069i 0.392102 0.847515i −0.606522 0.795067i \(-0.707436\pi\)
0.998624 0.0524478i \(-0.0167023\pi\)
\(282\) −7.06883 2.55642i −0.420943 0.152232i
\(283\) 1.16157 0.0629787i 0.0690484 0.00374370i −0.0195823 0.999808i \(-0.506234\pi\)
0.0886307 + 0.996065i \(0.471751\pi\)
\(284\) 20.8095 + 11.0325i 1.23481 + 0.654657i
\(285\) 6.53082 + 11.4160i 0.386853 + 0.676226i
\(286\) −1.13341 0.451590i −0.0670197 0.0267031i
\(287\) 11.3387 + 11.9701i 0.669299 + 0.706571i
\(288\) 13.1998 + 0.581688i 0.777809 + 0.0342763i
\(289\) −13.9258 + 4.69214i −0.819163 + 0.276008i
\(290\) 0.189296 3.49136i 0.0111159 0.205020i
\(291\) −0.553440 1.77046i −0.0324432 0.103786i
\(292\) 2.19480 1.48811i 0.128441 0.0870851i
\(293\) 5.53070 + 1.53559i 0.323107 + 0.0897102i 0.425295 0.905055i \(-0.360170\pi\)
−0.102188 + 0.994765i \(0.532584\pi\)
\(294\) 2.15753 2.42953i 0.125830 0.141693i
\(295\) 7.75364 14.7550i 0.451434 0.859072i
\(296\) 13.0014i 0.755690i
\(297\) −4.33419 + 3.59364i −0.251495 + 0.208524i
\(298\) 4.18319 + 6.16975i 0.242326 + 0.357404i
\(299\) −2.77416 + 4.61069i −0.160434 + 0.266643i
\(300\) −0.655339 0.648737i −0.0378360 0.0374548i
\(301\) 4.91072 + 14.5745i 0.283049 + 0.840060i
\(302\) −2.05597 0.337060i −0.118308 0.0193956i
\(303\) −0.340212 10.5798i −0.0195447 0.607793i
\(304\) 3.89310 9.77095i 0.223285 0.560402i
\(305\) −11.9219 4.01696i −0.682646 0.230010i
\(306\) −0.678479 + 1.75431i −0.0387861 + 0.100287i
\(307\) −1.55979 28.7686i −0.0890217 1.64191i −0.612932 0.790135i \(-0.710010\pi\)
0.523911 0.851773i \(-0.324473\pi\)
\(308\) 1.15019 + 2.88676i 0.0655382 + 0.164488i
\(309\) 2.44358 + 5.60219i 0.139010 + 0.318698i
\(310\) 4.36839 2.62837i 0.248108 0.149282i
\(311\) −13.6885 + 7.25716i −0.776201 + 0.411516i −0.808898 0.587950i \(-0.799935\pi\)
0.0326967 + 0.999465i \(0.489590\pi\)
\(312\) −3.99039 + 6.31312i −0.225911 + 0.357410i
\(313\) 15.7701 20.7452i 0.891377 1.17259i −0.0928503 0.995680i \(-0.529598\pi\)
0.984228 0.176907i \(-0.0566091\pi\)
\(314\) −6.54699 + 5.56106i −0.369468 + 0.313829i
\(315\) −4.68870 + 9.06444i −0.264178 + 0.510723i
\(316\) 6.24371 2.88865i 0.351236 0.162499i
\(317\) 8.97982 9.47988i 0.504357 0.532443i −0.423244 0.906016i \(-0.639109\pi\)
0.927601 + 0.373573i \(0.121867\pi\)
\(318\) 1.69265 + 0.129204i 0.0949189 + 0.00724542i
\(319\) 0.908808 4.12876i 0.0508835 0.231166i
\(320\) 0.983721 9.04517i 0.0549917 0.505640i
\(321\) 18.8149 + 13.3708i 1.05014 + 0.746286i
\(322\) −1.24774 + 0.274649i −0.0695340 + 0.0153056i
\(323\) 4.04904 + 3.43928i 0.225294 + 0.191367i
\(324\) 8.00540 + 14.3879i 0.444744 + 0.799330i
\(325\) 0.764545 0.212275i 0.0424093 0.0117749i
\(326\) 4.46032 5.25109i 0.247034 0.290831i
\(327\) −23.3134 13.0255i −1.28924 0.720313i
\(328\) 1.79838 + 16.5358i 0.0992988 + 0.913037i
\(329\) −16.3774 1.78115i −0.902916 0.0981981i
\(330\) −0.988086 1.36100i −0.0543924 0.0749203i
\(331\) −26.8078 + 20.3787i −1.47349 + 1.12012i −0.507462 + 0.861674i \(0.669416\pi\)
−0.966027 + 0.258443i \(0.916791\pi\)
\(332\) 13.8282 + 13.0988i 0.758923 + 0.718890i
\(333\) 21.0033 12.9287i 1.15097 0.708489i
\(334\) 6.38381 + 4.32833i 0.349307 + 0.236836i
\(335\) −11.4011 13.4225i −0.622911 0.733347i
\(336\) 8.00726 1.57853i 0.436832 0.0861161i
\(337\) −3.85373 + 0.631787i −0.209926 + 0.0344156i −0.265827 0.964021i \(-0.585645\pi\)
0.0559012 + 0.998436i \(0.482197\pi\)
\(338\) 1.07664 + 2.03076i 0.0585615 + 0.110459i
\(339\) 6.35672 34.0590i 0.345250 1.84983i
\(340\) 5.47020 + 2.53078i 0.296663 + 0.137251i
\(341\) 5.72636 2.28159i 0.310100 0.123555i
\(342\) −4.27078 + 0.744642i −0.230937 + 0.0402657i
\(343\) 8.47554 15.9866i 0.457636 0.863194i
\(344\) −4.95406 + 14.7031i −0.267105 + 0.792739i
\(345\) −6.62846 + 3.32933i −0.356864 + 0.179245i
\(346\) 2.22089 2.10374i 0.119396 0.113098i
\(347\) −1.41740 + 8.64577i −0.0760901 + 0.464129i 0.921107 + 0.389310i \(0.127286\pi\)
−0.997197 + 0.0748196i \(0.976162\pi\)
\(348\) −11.3816 4.82787i −0.610118 0.258801i
\(349\) −26.8313 1.45475i −1.43625 0.0778710i −0.680506 0.732742i \(-0.738240\pi\)
−0.755741 + 0.654871i \(0.772723\pi\)
\(350\) 0.161428 + 0.0971280i 0.00862869 + 0.00519171i
\(351\) −14.1667 0.168500i −0.756163 0.00899384i
\(352\) −1.27668 + 4.59819i −0.0680474 + 0.245084i
\(353\) −14.6961 −0.782196 −0.391098 0.920349i \(-0.627905\pi\)
−0.391098 + 0.920349i \(0.627905\pi\)
\(354\) 3.70449 + 4.05748i 0.196892 + 0.215653i
\(355\) −27.9377 −1.48278
\(356\) 4.17384 15.0328i 0.221213 0.796737i
\(357\) −0.535819 + 4.08729i −0.0283585 + 0.216322i
\(358\) −0.223006 0.134178i −0.0117862 0.00709153i
\(359\) −27.8993 1.51266i −1.47247 0.0798349i −0.699660 0.714476i \(-0.746665\pi\)
−0.772807 + 0.634641i \(0.781148\pi\)
\(360\) −9.29956 + 4.41730i −0.490130 + 0.232812i
\(361\) 1.09293 6.66657i 0.0575225 0.350872i
\(362\) 1.04703 0.991803i 0.0550309 0.0521280i
\(363\) 7.63886 + 15.2084i 0.400936 + 0.798234i
\(364\) −2.49678 + 7.41018i −0.130867 + 0.388399i
\(365\) −1.47331 + 2.77896i −0.0771166 + 0.145457i
\(366\) 2.58161 3.24518i 0.134943 0.169628i
\(367\) −6.58869 + 2.62517i −0.343927 + 0.137033i −0.535705 0.844405i \(-0.679954\pi\)
0.191778 + 0.981438i \(0.438575\pi\)
\(368\) 5.38375 + 2.49079i 0.280647 + 0.129841i
\(369\) −24.9247 + 19.3486i −1.29753 + 1.00725i
\(370\) 3.45097 + 6.50922i 0.179407 + 0.338398i
\(371\) 3.67138 0.601892i 0.190608 0.0312487i
\(372\) −3.48661 17.6861i −0.180772 0.916984i
\(373\) −14.5926 17.1798i −0.755577 0.889534i 0.241141 0.970490i \(-0.422478\pi\)
−0.996718 + 0.0809564i \(0.974203\pi\)
\(374\) −0.562296 0.381246i −0.0290757 0.0197138i
\(375\) 19.0401 + 5.74087i 0.983225 + 0.296457i
\(376\) −12.0656 11.4291i −0.622235 0.589413i
\(377\) 8.46898 6.43795i 0.436174 0.331571i
\(378\) −2.28413 2.46951i −0.117483 0.127018i
\(379\) −25.3530 2.75730i −1.30230 0.141633i −0.569448 0.822027i \(-0.692843\pi\)
−0.732847 + 0.680394i \(0.761809\pi\)
\(380\) 1.50196 + 13.8103i 0.0770487 + 0.708451i
\(381\) −6.36917 + 11.3997i −0.326302 + 0.584025i
\(382\) −0.830988 + 0.978315i −0.0425170 + 0.0500549i
\(383\) −31.4959 + 8.74480i −1.60937 + 0.446838i −0.951841 0.306593i \(-0.900811\pi\)
−0.657526 + 0.753432i \(0.728397\pi\)
\(384\) 16.3957 + 8.02833i 0.836688 + 0.409694i
\(385\) −2.80928 2.38623i −0.143174 0.121613i
\(386\) −3.19669 + 0.703644i −0.162707 + 0.0358146i
\(387\) −28.6787 + 6.61783i −1.45782 + 0.336403i
\(388\) 0.211834 1.94778i 0.0107542 0.0988835i
\(389\) −0.309386 + 1.40555i −0.0156865 + 0.0712643i −0.983814 0.179195i \(-0.942651\pi\)
0.968127 + 0.250459i \(0.0805817\pi\)
\(390\) 0.322115 4.21988i 0.0163109 0.213682i
\(391\) −2.06050 + 2.17525i −0.104204 + 0.110007i
\(392\) 6.51990 3.01643i 0.329305 0.152353i
\(393\) 2.64641 + 10.4160i 0.133494 + 0.525418i
\(394\) −6.86289 + 5.82939i −0.345747 + 0.293680i
\(395\) −4.93836 + 6.49630i −0.248476 + 0.326864i
\(396\) −5.71368 + 1.64889i −0.287123 + 0.0828599i
\(397\) 12.1887 6.46205i 0.611734 0.324321i −0.133576 0.991039i \(-0.542646\pi\)
0.745310 + 0.666718i \(0.232301\pi\)
\(398\) −3.70761 + 2.23079i −0.185845 + 0.111820i
\(399\) −8.70864 + 3.79855i −0.435977 + 0.190165i
\(400\) −0.323771 0.812603i −0.0161885 0.0406301i
\(401\) 1.13008 + 20.8431i 0.0564335 + 1.04086i 0.880404 + 0.474224i \(0.157271\pi\)
−0.823971 + 0.566632i \(0.808246\pi\)
\(402\) 5.43870 2.02939i 0.271257 0.101217i
\(403\) 14.6993 + 4.95277i 0.732225 + 0.246715i
\(404\) 4.13834 10.3865i 0.205890 0.516745i
\(405\) −16.3836 10.6305i −0.814105 0.528233i
\(406\) 2.49258 + 0.408638i 0.123705 + 0.0202804i
\(407\) 2.84432 + 8.44164i 0.140988 + 0.418437i
\(408\) −2.92568 + 2.95546i −0.144843 + 0.146317i
\(409\) 11.9273 19.8233i 0.589767 0.980200i −0.407972 0.912994i \(-0.633764\pi\)
0.997739 0.0672056i \(-0.0214084\pi\)
\(410\) −5.28948 7.80140i −0.261229 0.385284i
\(411\) 21.3251 13.7833i 1.05189 0.679882i
\(412\) 6.45564i 0.318047i
\(413\) 9.99093 + 6.72082i 0.491622 + 0.330710i
\(414\) −0.288951 2.42787i −0.0142012 0.119323i
\(415\) −21.7695 6.04428i −1.06862 0.296702i
\(416\) −9.93925 + 6.73898i −0.487312 + 0.330406i
\(417\) 5.99471 1.87392i 0.293562 0.0917664i
\(418\) 0.0847700 1.56349i 0.00414624 0.0764728i
\(419\) 17.3275 5.83832i 0.846504 0.285221i 0.137567 0.990492i \(-0.456072\pi\)
0.708937 + 0.705272i \(0.249175\pi\)
\(420\) −8.36715 + 6.79573i −0.408275 + 0.331597i
\(421\) 13.0773 + 13.8056i 0.637351 + 0.672843i 0.962018 0.272985i \(-0.0880110\pi\)
−0.324668 + 0.945828i \(0.605252\pi\)
\(422\) 7.37777 + 2.93957i 0.359144 + 0.143096i
\(423\) 6.46520 30.8568i 0.314349 1.50031i
\(424\) 3.31602 + 1.75804i 0.161040 + 0.0853780i
\(425\) 0.441173 0.0239197i 0.0214000 0.00116028i
\(426\) 3.13184 8.65996i 0.151738 0.419576i
\(427\) 3.81599 8.24813i 0.184669 0.399155i
\(428\) 12.5692 + 20.8902i 0.607556 + 1.00977i
\(429\) 1.20979 4.97201i 0.0584091 0.240051i
\(430\) −1.42239 8.67617i −0.0685935 0.418402i
\(431\) 16.2103 + 12.3227i 0.780821 + 0.593565i 0.917816 0.397007i \(-0.129951\pi\)
−0.136994 + 0.990572i \(0.543744\pi\)
\(432\) 1.50389 + 15.5461i 0.0723559 + 0.747963i
\(433\) −4.08778 + 6.02902i −0.196446 + 0.289736i −0.913136 0.407656i \(-0.866346\pi\)
0.716689 + 0.697393i \(0.245657\pi\)
\(434\) 1.54641 + 3.34251i 0.0742299 + 0.160445i
\(435\) 14.6101 1.26416i 0.700502 0.0606117i
\(436\) −17.0703 22.4556i −0.817519 1.07543i
\(437\) −6.74427 1.48453i −0.322622 0.0710145i
\(438\) −0.696246 0.768212i −0.0332679 0.0367066i
\(439\) 23.4114 2.54614i 1.11737 0.121521i 0.469252 0.883064i \(-0.344524\pi\)
0.648114 + 0.761544i \(0.275558\pi\)
\(440\) −0.799360 3.63153i −0.0381080 0.173126i
\(441\) 11.3564 + 7.53309i 0.540780 + 0.358719i
\(442\) −0.457343 1.64720i −0.0217536 0.0783493i
\(443\) 6.72538 + 24.2226i 0.319533 + 1.15085i 0.932627 + 0.360843i \(0.117511\pi\)
−0.613094 + 0.790010i \(0.710075\pi\)
\(444\) 25.7939 3.64746i 1.22412 0.173101i
\(445\) 3.97820 + 18.0731i 0.188585 + 0.856749i
\(446\) 6.10539 0.664001i 0.289099 0.0314414i
\(447\) −23.1653 + 20.9951i −1.09568 + 0.993036i
\(448\) 6.41907 + 1.41294i 0.303273 + 0.0667554i
\(449\) −14.4989 19.0730i −0.684247 0.900111i 0.314546 0.949242i \(-0.398148\pi\)
−0.998792 + 0.0491311i \(0.984355\pi\)
\(450\) −0.215271 + 0.289217i −0.0101480 + 0.0136338i
\(451\) −4.78521 10.3431i −0.225327 0.487036i
\(452\) 20.5369 30.2897i 0.965976 1.42471i
\(453\) 0.192395 8.73601i 0.00903950 0.410454i
\(454\) 0.0423706 + 0.0322093i 0.00198855 + 0.00151166i
\(455\) −1.50055 9.15298i −0.0703471 0.429098i
\(456\) −9.31315 2.26607i −0.436128 0.106118i
\(457\) −5.20520 8.65110i −0.243489 0.404681i 0.710879 0.703314i \(-0.248297\pi\)
−0.954368 + 0.298632i \(0.903470\pi\)
\(458\) −1.77169 + 3.82945i −0.0827857 + 0.178938i
\(459\) −7.68376 1.78739i −0.358647 0.0834284i
\(460\) −7.82326 + 0.424165i −0.364761 + 0.0197768i
\(461\) 13.6786 + 7.25195i 0.637077 + 0.337757i 0.755444 0.655213i \(-0.227421\pi\)
−0.118367 + 0.992970i \(0.537766\pi\)
\(462\) 1.05459 0.603307i 0.0490640 0.0280684i
\(463\) 36.1289 + 14.3951i 1.67905 + 0.668995i 0.997998 0.0632393i \(-0.0201431\pi\)
0.681053 + 0.732234i \(0.261522\pi\)
\(464\) −8.06512 8.51424i −0.374414 0.395264i
\(465\) 13.4804 + 16.5976i 0.625140 + 0.769696i
\(466\) −8.15490 + 2.74770i −0.377768 + 0.127285i
\(467\) −0.343798 + 6.34098i −0.0159091 + 0.293425i 0.979742 + 0.200264i \(0.0641800\pi\)
−0.995651 + 0.0931614i \(0.970303\pi\)
\(468\) −13.6443 6.14556i −0.630708 0.284079i
\(469\) 10.5300 7.13952i 0.486230 0.329672i
\(470\) 9.07435 + 2.51948i 0.418569 + 0.116215i
\(471\) −26.9387 23.9227i −1.24127 1.10230i
\(472\) 3.92074 + 11.4972i 0.180467 + 0.529203i
\(473\) 10.6304i 0.488784i
\(474\) −1.46009 2.25900i −0.0670642 0.103760i
\(475\) 0.571463 + 0.842845i 0.0262205 + 0.0386724i
\(476\) −2.24477 + 3.73083i −0.102889 + 0.171002i
\(477\) 0.457429 + 7.10511i 0.0209442 + 0.325321i
\(478\) 0.992579 + 2.94587i 0.0453995 + 0.134741i
\(479\) −11.5636 1.89576i −0.528356 0.0866196i −0.108301 0.994118i \(-0.534541\pi\)
−0.420055 + 0.907499i \(0.637989\pi\)
\(480\) −16.5451 + 0.532038i −0.755176 + 0.0242841i
\(481\) −8.29688 + 20.8236i −0.378305 + 0.949475i
\(482\) −1.68666 0.568303i −0.0768254 0.0258855i
\(483\) −1.87329 5.02035i −0.0852376 0.228434i
\(484\) 0.973208 + 17.9498i 0.0442367 + 0.815898i
\(485\) 0.860199 + 2.15894i 0.0390596 + 0.0980322i
\(486\) 5.13179 3.88679i 0.232783 0.176308i
\(487\) 15.9230 9.58056i 0.721541 0.434137i −0.106859 0.994274i \(-0.534079\pi\)
0.828400 + 0.560137i \(0.189252\pi\)
\(488\) 8.10030 4.29451i 0.366683 0.194403i
\(489\) 24.4261 + 15.4392i 1.10458 + 0.698185i
\(490\) −2.46357 + 3.24077i −0.111293 + 0.146403i
\(491\) 22.4995 19.1113i 1.01539 0.862479i 0.0248472 0.999691i \(-0.492090\pi\)
0.990542 + 0.137212i \(0.0438142\pi\)
\(492\) −32.3014 + 8.20688i −1.45626 + 0.369995i
\(493\) 5.37610 2.48725i 0.242127 0.112020i
\(494\) 2.70960 2.86049i 0.121911 0.128699i
\(495\) 5.07171 4.90257i 0.227957 0.220354i
\(496\) 3.67596 16.7001i 0.165056 0.749855i
\(497\) 2.18207 20.0638i 0.0978792 0.899985i
\(498\) 4.31396 6.07043i 0.193313 0.272022i
\(499\) 14.6875 3.23297i 0.657505 0.144728i 0.126328 0.991989i \(-0.459681\pi\)
0.531177 + 0.847261i \(0.321750\pi\)
\(500\) 16.0093 + 13.5984i 0.715957 + 0.608139i
\(501\) −14.2259 + 29.0525i −0.635567 + 1.29797i
\(502\) −9.53143 + 2.64639i −0.425409 + 0.118114i
\(503\) 18.9608 22.3224i 0.845420 0.995305i −0.154553 0.987984i \(-0.549394\pi\)
0.999973 0.00732067i \(-0.00233026\pi\)
\(504\) −2.44600 7.02361i −0.108954 0.312857i
\(505\) 1.43386 + 13.1841i 0.0638059 + 0.586686i
\(506\) 0.877909 + 0.0954783i 0.0390278 + 0.00424453i
\(507\) −7.80111 + 5.66362i −0.346459 + 0.251530i
\(508\) −10.9802 + 8.34697i −0.487170 + 0.370337i
\(509\) −16.4850 15.6154i −0.730685 0.692142i 0.228934 0.973442i \(-0.426476\pi\)
−0.959620 + 0.281300i \(0.909234\pi\)
\(510\) 0.680289 2.25623i 0.0301237 0.0999077i
\(511\) −1.88067 1.27513i −0.0831961 0.0564083i
\(512\) 14.7251 + 17.3357i 0.650762 + 0.766136i
\(513\) −5.60033 17.2984i −0.247261 0.763745i
\(514\) 8.71852 1.42933i 0.384558 0.0630450i
\(515\) −3.58679 6.76540i −0.158053 0.298119i
\(516\) −30.5598 5.70365i −1.34532 0.251089i
\(517\) 10.3344 + 4.78120i 0.454506 + 0.210277i
\(518\) −4.94422 + 1.96996i −0.217237 + 0.0865550i
\(519\) 10.0406 + 7.98752i 0.440734 + 0.350613i
\(520\) 4.38291 8.26704i 0.192203 0.362534i
\(521\) 0.748485 2.22143i 0.0327917 0.0973224i −0.930007 0.367542i \(-0.880200\pi\)
0.962799 + 0.270219i \(0.0870961\pi\)
\(522\) −1.24595 + 4.67048i −0.0545339 + 0.204421i
\(523\) −14.1354 + 13.3898i −0.618099 + 0.585495i −0.931327 0.364183i \(-0.881348\pi\)
0.313228 + 0.949678i \(0.398590\pi\)
\(524\) −1.83644 + 11.2018i −0.0802251 + 0.489351i
\(525\) −0.308557 + 0.727417i −0.0134665 + 0.0317471i
\(526\) −5.35860 0.290535i −0.233646 0.0126679i
\(527\) 7.40071 + 4.45286i 0.322380 + 0.193970i
\(528\) −5.59329 0.733245i −0.243416 0.0319104i
\(529\) −5.11120 + 18.4089i −0.222226 + 0.800386i
\(530\) −2.12682 −0.0923832
\(531\) −14.6745 + 17.7668i −0.636820 + 0.771012i
\(532\) −10.0353 −0.435087
\(533\) 7.67202 27.6321i 0.332312 1.19688i
\(534\) −6.04816 0.792876i −0.261730 0.0343111i
\(535\) −24.7791 14.9091i −1.07129 0.644575i
\(536\) 12.8156 + 0.694843i 0.553551 + 0.0300127i
\(537\) 0.426258 1.00490i 0.0183944 0.0433644i
\(538\) −0.879141 + 5.36252i −0.0379025 + 0.231195i
\(539\) −3.57339 + 3.38489i −0.153917 + 0.145798i
\(540\) −11.3726 17.2104i −0.489397 0.740620i
\(541\) −0.291174 + 0.864173i −0.0125185 + 0.0371537i −0.953730 0.300663i \(-0.902792\pi\)
0.941212 + 0.337817i \(0.109689\pi\)
\(542\) 3.48586 6.57503i 0.149730 0.282422i
\(543\) 4.73363 + 3.76571i 0.203140 + 0.161602i
\(544\) −6.21168 + 2.47496i −0.266323 + 0.106113i
\(545\) 30.3659 + 14.0487i 1.30073 + 0.601782i
\(546\) 3.00540 + 0.560924i 0.128619 + 0.0240053i
\(547\) 4.52758 + 8.53993i 0.193585 + 0.365141i 0.961236 0.275728i \(-0.0889190\pi\)
−0.767650 + 0.640869i \(0.778574\pi\)
\(548\) 26.4664 4.33894i 1.13059 0.185350i
\(549\) 14.9926 + 8.81524i 0.639870 + 0.376225i
\(550\) −0.0843019 0.0992479i −0.00359465 0.00423195i
\(551\) 11.3002 + 7.66173i 0.481405 + 0.326400i
\(552\) 1.56053 5.17561i 0.0664204 0.220289i
\(553\) −4.27969 4.05394i −0.181991 0.172391i
\(554\) 8.60880 6.54424i 0.365753 0.278038i
\(555\) −25.0050 + 18.1537i −1.06140 + 0.770582i
\(556\) 6.59509 + 0.717259i 0.279694 + 0.0304186i
\(557\) 0.545900 + 5.01947i 0.0231305 + 0.212682i 0.999999 0.00115784i \(-0.000368552\pi\)
−0.976869 + 0.213840i \(0.931403\pi\)
\(558\) −6.65600 + 2.31798i −0.281771 + 0.0981278i
\(559\) 17.3175 20.3877i 0.732452 0.862309i
\(560\) −9.85237 + 2.73550i −0.416339 + 0.115596i
\(561\) 1.25304 2.55899i 0.0529034 0.108041i
\(562\) −4.92702 4.18505i −0.207834 0.176536i
\(563\) −28.2135 + 6.21025i −1.18906 + 0.261731i −0.765075 0.643941i \(-0.777298\pi\)
−0.423980 + 0.905672i \(0.639367\pi\)
\(564\) 19.2897 27.1437i 0.812243 1.14296i
\(565\) −4.69323 + 43.1536i −0.197446 + 1.81548i
\(566\) 0.103272 0.469169i 0.00434084 0.0197206i
\(567\) 8.91406 10.9358i 0.374355 0.459259i
\(568\) 14.0017 14.7814i 0.587499 0.620215i
\(569\) 39.2439 18.1562i 1.64519 0.761146i 0.645194 0.764019i \(-0.276776\pi\)
0.999996 + 0.00287274i \(0.000914424\pi\)
\(570\) 5.26417 1.33748i 0.220492 0.0560207i
\(571\) 30.2389 25.6852i 1.26546 1.07489i 0.271813 0.962350i \(-0.412377\pi\)
0.993647 0.112542i \(-0.0358992\pi\)
\(572\) 3.27087 4.30276i 0.136762 0.179907i
\(573\) −4.55075 2.87643i −0.190110 0.120165i
\(574\) 6.01581 3.18938i 0.251095 0.133122i
\(575\) −0.492106 + 0.296091i −0.0205223 + 0.0123478i
\(576\) −3.89541 + 11.9601i −0.162309 + 0.498336i
\(577\) 6.26310 + 15.7192i 0.260736 + 0.654398i 0.999815 0.0192204i \(-0.00611841\pi\)
−0.739079 + 0.673619i \(0.764739\pi\)
\(578\) 0.328548 + 6.05971i 0.0136658 + 0.252051i
\(579\) −4.79933 12.8620i −0.199453 0.534528i
\(580\) 14.6786 + 4.94579i 0.609495 + 0.205363i
\(581\) 6.04109 15.1620i 0.250627 0.629025i
\(582\) −0.765643 + 0.0246207i −0.0317369 + 0.00102056i
\(583\) −2.53766 0.416027i −0.105099 0.0172301i
\(584\) −0.731919 2.17226i −0.0302870 0.0898887i
\(585\) 17.7135 1.14040i 0.732363 0.0471497i
\(586\) 1.22208 2.03111i 0.0504836 0.0839044i
\(587\) 5.99864 + 8.84733i 0.247590 + 0.365168i 0.931094 0.364778i \(-0.118855\pi\)
−0.683504 + 0.729947i \(0.739545\pi\)
\(588\) 7.81351 + 12.0888i 0.322224 + 0.498534i
\(589\) 19.9067i 0.820242i
\(590\) −5.01466 4.71547i −0.206450 0.194133i
\(591\) −28.2385 25.0770i −1.16158 1.03153i
\(592\) 23.8106 + 6.61098i 0.978609 + 0.271710i
\(593\) −19.0798 + 12.9364i −0.783512 + 0.531234i −0.886102 0.463490i \(-0.846597\pi\)
0.102591 + 0.994724i \(0.467287\pi\)
\(594\) 0.951125 + 2.12168i 0.0390251 + 0.0870537i
\(595\) 0.279607 5.15705i 0.0114628 0.211419i
\(596\) −31.2934 + 10.5440i −1.28183 + 0.431898i
\(597\) −11.4413 14.0870i −0.468262 0.576541i
\(598\) 1.52818 + 1.61328i 0.0624920 + 0.0659720i
\(599\) −9.78357 3.89813i −0.399746 0.159273i 0.161597 0.986857i \(-0.448336\pi\)
−0.561342 + 0.827584i \(0.689715\pi\)
\(600\) −0.691907 + 0.395824i −0.0282470 + 0.0161594i
\(601\) 3.93239 + 2.08482i 0.160405 + 0.0850415i 0.546677 0.837343i \(-0.315892\pi\)
−0.386272 + 0.922385i \(0.626237\pi\)
\(602\) 6.34200 0.343853i 0.258481 0.0140144i
\(603\) 11.6215 + 21.3941i 0.473264 + 0.871236i
\(604\) 3.87538 8.37649i 0.157687 0.340835i
\(605\) −10.9929 18.2703i −0.446925 0.742795i
\(606\) −4.24747 1.03349i −0.172542 0.0419828i
\(607\) −1.82527 11.1337i −0.0740856 0.451902i −0.997653 0.0684670i \(-0.978189\pi\)
0.923568 0.383435i \(-0.125259\pi\)
\(608\) −12.2688 9.32650i −0.497566 0.378240i
\(609\) −0.233252 + 10.5912i −0.00945185 + 0.429177i
\(610\) −2.91557 + 4.30014i −0.118048 + 0.174108i
\(611\) 12.0312 + 26.0051i 0.486732 + 1.05205i
\(612\) −6.68421 4.97522i −0.270193 0.201111i
\(613\) 0.0210871 + 0.0277396i 0.000851700 + 0.00112039i 0.796519 0.604614i \(-0.206673\pi\)
−0.795667 + 0.605734i \(0.792879\pi\)
\(614\) −11.6199 2.55772i −0.468939 0.103221i
\(615\) 29.2916 26.5475i 1.18115 1.07050i
\(616\) 2.67047 0.290431i 0.107596 0.0117018i
\(617\) −0.166856 0.758036i −0.00671739 0.0305174i 0.973143 0.230203i \(-0.0739390\pi\)
−0.979860 + 0.199686i \(0.936008\pi\)
\(618\) 2.49918 0.353404i 0.100532 0.0142160i
\(619\) 2.36667 + 8.52398i 0.0951246 + 0.342608i 0.995762 0.0919626i \(-0.0293140\pi\)
−0.900638 + 0.434570i \(0.856900\pi\)
\(620\) 6.04206 + 21.7615i 0.242655 + 0.873965i
\(621\) 9.91281 2.62570i 0.397787 0.105366i
\(622\) 1.37543 + 6.24866i 0.0551499 + 0.250548i
\(623\) −13.2902 + 1.44539i −0.532460 + 0.0579085i
\(624\) −9.53274 10.5181i −0.381615 0.421060i
\(625\) −22.9118 5.04326i −0.916471 0.201730i
\(626\) −6.51258 8.56715i −0.260295 0.342412i
\(627\) 6.54266 0.566111i 0.261289 0.0226083i
\(628\) −15.9783 34.5366i −0.637605 1.37816i
\(629\) −7.00448 + 10.3308i −0.279287 + 0.411918i
\(630\) 3.08889 + 2.86717i 0.123064 + 0.114231i
\(631\) 2.58842 + 1.96766i 0.103043 + 0.0783314i 0.655427 0.755258i \(-0.272489\pi\)
−0.552384 + 0.833590i \(0.686282\pi\)
\(632\) −0.962110 5.86861i −0.0382707 0.233441i
\(633\) −7.87496 + 32.3647i −0.313002 + 1.28638i
\(634\) −2.78011 4.62058i −0.110412 0.183507i
\(635\) 6.86950 14.8482i 0.272608 0.589232i
\(636\) −2.55755 + 7.07196i −0.101413 + 0.280421i
\(637\) −12.3675 + 0.670547i −0.490018 + 0.0265680i
\(638\) −1.54250 0.817782i −0.0610681 0.0323763i
\(639\) 37.8023 + 7.92046i 1.49544 + 0.313328i
\(640\) −21.2475 8.46577i −0.839880 0.334639i
\(641\) −1.04891 1.10732i −0.0414293 0.0437364i 0.704951 0.709256i \(-0.250969\pi\)
−0.746381 + 0.665519i \(0.768210\pi\)
\(642\) 7.39918 6.00955i 0.292022 0.237178i
\(643\) −16.6768 + 5.61906i −0.657668 + 0.221594i −0.628296 0.777975i \(-0.716247\pi\)
−0.0293718 + 0.999569i \(0.509351\pi\)
\(644\) 0.306416 5.65151i 0.0120745 0.222701i
\(645\) 35.1952 11.0019i 1.38581 0.433199i
\(646\) 1.81590 1.23121i 0.0714455 0.0484412i
\(647\) −6.32878 1.75718i −0.248810 0.0690818i 0.140884 0.990026i \(-0.455005\pi\)
−0.389694 + 0.920944i \(0.627419\pi\)
\(648\) 13.8355 3.34056i 0.543510 0.131229i
\(649\) −5.06095 6.60727i −0.198660 0.259358i
\(650\) 0.327678i 0.0128526i
\(651\) −12.9727 + 8.38479i −0.508439 + 0.328626i
\(652\) 17.1282 + 25.2622i 0.670793 + 0.989346i
\(653\) −11.5212 + 19.1483i −0.450858 + 0.749332i −0.996032 0.0889907i \(-0.971636\pi\)
0.545174 + 0.838323i \(0.316463\pi\)
\(654\) −7.75879 + 7.83776i −0.303393 + 0.306481i
\(655\) −4.29921 12.7596i −0.167984 0.498559i
\(656\) −31.1979 5.11464i −1.21807 0.199693i
\(657\) 2.78138 3.34250i 0.108512 0.130403i
\(658\) −2.51815 + 6.32008i −0.0981678 + 0.246382i
\(659\) 4.54713 + 1.53211i 0.177131 + 0.0596824i 0.406469 0.913664i \(-0.366760\pi\)
−0.229339 + 0.973347i \(0.573656\pi\)
\(660\) 6.98046 2.60468i 0.271714 0.101387i
\(661\) 0.399892 + 7.37557i 0.0155540 + 0.286877i 0.995954 + 0.0898608i \(0.0286422\pi\)
−0.980400 + 0.197016i \(0.936875\pi\)
\(662\) 5.14731 + 12.9188i 0.200056 + 0.502102i
\(663\) 6.57194 2.86656i 0.255233 0.111328i
\(664\) 14.1083 8.48871i 0.547510 0.329426i
\(665\) 10.5169 5.57568i 0.407826 0.216216i
\(666\) −2.82409 9.78595i −0.109431 0.379198i
\(667\) −4.65982 + 6.12989i −0.180429 + 0.237350i
\(668\) −26.0413 + 22.1197i −1.00757 + 0.855836i
\(669\) 6.34280 + 24.9646i 0.245227 + 0.965187i
\(670\) −6.60065 + 3.05379i −0.255005 + 0.117978i
\(671\) −4.31991 + 4.56048i −0.166768 + 0.176055i
\(672\) 0.910163 11.9236i 0.0351103 0.459964i
\(673\) 5.96017 27.0773i 0.229748 1.04375i −0.710615 0.703581i \(-0.751583\pi\)
0.940363 0.340174i \(-0.110486\pi\)
\(674\) −0.174366 + 1.60327i −0.00671633 + 0.0617556i
\(675\) −1.32748 0.724140i −0.0510947 0.0278722i
\(676\) −9.94430 + 2.18891i −0.382473 + 0.0841887i
\(677\) 24.7714 + 21.0410i 0.952041 + 0.808671i 0.981611 0.190892i \(-0.0611380\pi\)
−0.0295703 + 0.999563i \(0.509414\pi\)
\(678\) −12.8504 6.29233i −0.493516 0.241656i
\(679\) −1.61765 + 0.449139i −0.0620799 + 0.0172364i
\(680\) 3.37302 3.97102i 0.129349 0.152282i
\(681\) −0.108877 + 0.194872i −0.00417219 + 0.00746751i
\(682\) −0.275230 2.53069i −0.0105391 0.0969053i
\(683\) −23.4849 2.55414i −0.898625 0.0977314i −0.352866 0.935674i \(-0.614793\pi\)
−0.545759 + 0.837942i \(0.683758\pi\)
\(684\) 1.88298 19.1124i 0.0719976 0.730780i
\(685\) −25.3256 + 19.2520i −0.967641 + 0.735582i
\(686\) −5.42495 5.13879i −0.207126 0.196200i
\(687\) −16.9434 5.10869i −0.646431 0.194909i
\(688\) −24.4081 16.5491i −0.930550 0.630928i
\(689\) −4.18918 4.93188i −0.159595 0.187890i
\(690\) 0.592480 + 3.00541i 0.0225553 + 0.114414i
\(691\) −20.5893 + 3.37544i −0.783252 + 0.128408i −0.540123 0.841586i \(-0.681622\pi\)
−0.243129 + 0.969994i \(0.578174\pi\)
\(692\) 6.34775 + 11.9731i 0.241305 + 0.455150i
\(693\) 3.12472 + 4.02523i 0.118698 + 0.152906i
\(694\) 3.28371 + 1.51921i 0.124648 + 0.0576683i
\(695\) −7.31006 + 2.91259i −0.277286 + 0.110481i
\(696\) −6.65341 + 8.36359i −0.252197 + 0.317021i
\(697\) 7.47967 14.1081i 0.283313 0.534384i
\(698\) −3.54323 + 10.5159i −0.134113 + 0.398034i
\(699\) −16.1996 32.2522i −0.612725 1.21989i
\(700\) −0.605908 + 0.573947i −0.0229012 + 0.0216932i
\(701\) −8.52790 + 52.0179i −0.322094 + 1.96469i −0.0670953 + 0.997747i \(0.521373\pi\)
−0.254999 + 0.966941i \(0.582075\pi\)
\(702\) −1.63221 + 5.61857i −0.0616036 + 0.212059i
\(703\) −28.7254 1.55744i −1.08340 0.0587401i
\(704\) −3.89277 2.34220i −0.146714 0.0882750i
\(705\) −5.13410 + 39.1636i −0.193362 + 1.47499i
\(706\) −1.62365 + 5.84785i −0.0611068 + 0.220087i
\(707\) −9.58034 −0.360306
\(708\) −21.7098 + 11.0040i −0.815904 + 0.413555i
\(709\) 16.9710 0.637358 0.318679 0.947863i \(-0.396761\pi\)
0.318679 + 0.947863i \(0.396761\pi\)
\(710\) −3.08659 + 11.1169i −0.115838 + 0.417210i
\(711\) 8.52380 7.39006i 0.319667 0.277149i
\(712\) −11.5560 6.95303i −0.433080 0.260576i
\(713\) −11.2107 0.607826i −0.419843 0.0227632i
\(714\) 1.56721 + 0.664781i 0.0586513 + 0.0248788i
\(715\) −1.03718 + 6.32654i −0.0387885 + 0.236599i
\(716\) 0.837036 0.792883i 0.0312815 0.0296314i
\(717\) −11.6508 + 5.85193i −0.435105 + 0.218544i
\(718\) −3.68426 + 10.9345i −0.137495 + 0.408072i
\(719\) −13.7868 + 26.0047i −0.514161 + 0.969811i 0.481472 + 0.876461i \(0.340102\pi\)
−0.995633 + 0.0933495i \(0.970243\pi\)
\(720\) −3.36113 19.2772i −0.125262 0.718420i
\(721\) 5.13881 2.04749i 0.191379 0.0762525i
\(722\) −2.53200 1.17143i −0.0942312 0.0435960i
\(723\) 1.36958 7.33812i 0.0509351 0.272908i
\(724\) 2.99264 + 5.64471i 0.111220 + 0.209784i
\(725\) 1.12047 0.183692i 0.0416133 0.00682216i
\(726\) 6.89565 1.35939i 0.255921 0.0504518i
\(727\) −21.2601 25.0293i −0.788493 0.928286i 0.210288 0.977639i \(-0.432560\pi\)
−0.998781 + 0.0493533i \(0.984284\pi\)
\(728\) 5.59476 + 3.79334i 0.207355 + 0.140591i
\(729\) 19.1547 + 19.0289i 0.709433 + 0.704773i
\(730\) 0.943024 + 0.893280i 0.0349029 + 0.0330618i
\(731\) 11.8578 9.01404i 0.438575 0.333396i
\(732\) 10.7925 + 14.8657i 0.398902 + 0.549450i
\(733\) −33.8445 3.68081i −1.25007 0.135954i −0.540961 0.841048i \(-0.681939\pi\)
−0.709114 + 0.705094i \(0.750905\pi\)
\(734\) 0.316676 + 2.91179i 0.0116887 + 0.107476i
\(735\) −14.9050 8.32764i −0.549780 0.307170i
\(736\) 5.62694 6.62454i 0.207412 0.244184i
\(737\) −8.47304 + 2.35253i −0.312108 + 0.0866565i
\(738\) 4.94543 + 12.0556i 0.182044 + 0.443774i
\(739\) −2.05956 1.74941i −0.0757622 0.0643530i 0.608705 0.793397i \(-0.291689\pi\)
−0.684467 + 0.729044i \(0.739965\pi\)
\(740\) −31.8746 + 7.01613i −1.17173 + 0.257918i
\(741\) 13.4703 + 9.57266i 0.494842 + 0.351660i
\(742\) 0.166115 1.52740i 0.00609828 0.0560728i
\(743\) 10.0133 45.4907i 0.367351 1.66889i −0.323758 0.946140i \(-0.604946\pi\)
0.691108 0.722751i \(-0.257123\pi\)
\(744\) −15.5376 1.18603i −0.569638 0.0434820i
\(745\) 26.9367 28.4367i 0.986883 1.04184i
\(746\) −8.44834 + 3.90862i −0.309316 + 0.143105i
\(747\) 27.7427 + 14.3502i 1.01505 + 0.525048i
\(748\) 2.29376 1.94834i 0.0838682 0.0712383i
\(749\) 12.6425 16.6309i 0.461947 0.607681i
\(750\) 4.38797 6.94212i 0.160226 0.253490i
\(751\) 35.3849 18.7599i 1.29121 0.684558i 0.325839 0.945425i \(-0.394353\pi\)
0.965375 + 0.260867i \(0.0840085\pi\)
\(752\) 27.0663 16.2853i 0.987008 0.593863i
\(753\) −16.5872 38.0282i −0.604471 1.38582i
\(754\) −1.62611 4.08123i −0.0592195 0.148630i
\(755\) 0.592695 + 10.9316i 0.0215704 + 0.397842i
\(756\) 13.2482 6.82313i 0.481831 0.248155i
\(757\) 2.47658 + 0.834457i 0.0900128 + 0.0303289i 0.363948 0.931419i \(-0.381429\pi\)
−0.273935 + 0.961748i \(0.588325\pi\)
\(758\) −3.89821 + 9.78377i −0.141589 + 0.355363i
\(759\) 0.119040 + 3.70186i 0.00432088 + 0.134369i
\(760\) 11.8503 + 1.94276i 0.429856 + 0.0704714i
\(761\) −15.8667 47.0908i −0.575168 1.70704i −0.699350 0.714779i \(-0.746527\pi\)
0.124182 0.992259i \(-0.460369\pi\)
\(762\) 3.83247 + 3.79386i 0.138836 + 0.137437i
\(763\) −12.4610 + 20.7104i −0.451119 + 0.749766i
\(764\) −3.19111 4.70653i −0.115450 0.170276i
\(765\) 9.76920 + 1.50016i 0.353206 + 0.0542384i
\(766\) 13.4989i 0.487736i
\(767\) 1.05736 20.9165i 0.0381790 0.755252i
\(768\) −4.63830 + 5.22305i −0.167370 + 0.188471i
\(769\) 15.4160 + 4.28024i 0.555916 + 0.154349i 0.534113 0.845413i \(-0.320646\pi\)
0.0218029 + 0.999762i \(0.493059\pi\)
\(770\) −1.25990 + 0.854230i −0.0454035 + 0.0307843i
\(771\) 11.0556 + 35.3670i 0.398158 + 1.27371i
\(772\) 0.785031 14.4790i 0.0282539 0.521112i