Properties

Label 177.2.f.a.83.9
Level $177$
Weight $2$
Character 177.83
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 83.9
Character \(\chi\) \(=\) 177.83
Dual form 177.2.f.a.32.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.110481 - 0.397918i) q^{2} +(-0.426514 - 1.67872i) q^{3} +(1.56758 - 0.943183i) q^{4} +(2.16684 - 0.117483i) q^{5} +(-0.620869 + 0.355184i) q^{6} +(0.253612 + 1.54697i) q^{7} +(-1.14813 - 1.08756i) q^{8} +(-2.63617 + 1.43199i) q^{9} +O(q^{10})\) \(q+(-0.110481 - 0.397918i) q^{2} +(-0.426514 - 1.67872i) q^{3} +(1.56758 - 0.943183i) q^{4} +(2.16684 - 0.117483i) q^{5} +(-0.620869 + 0.355184i) q^{6} +(0.253612 + 1.54697i) q^{7} +(-1.14813 - 1.08756i) q^{8} +(-2.63617 + 1.43199i) q^{9} +(-0.286144 - 0.849244i) q^{10} +(0.507538 + 0.957318i) q^{11} +(-2.25193 - 2.22924i) q^{12} +(-2.53293 - 1.00921i) q^{13} +(0.587546 - 0.271828i) q^{14} +(-1.12141 - 3.58740i) q^{15} +(1.40795 - 2.65568i) q^{16} +(1.49822 + 0.245621i) q^{17} +(0.861063 + 0.890771i) q^{18} +(-2.26534 + 2.66696i) q^{19} +(3.28589 - 2.22789i) q^{20} +(2.48875 - 1.08555i) q^{21} +(0.324861 - 0.307724i) q^{22} +(-1.57110 - 1.19432i) q^{23} +(-1.33602 + 2.39124i) q^{24} +(-0.289306 + 0.0314639i) q^{25} +(-0.121742 + 1.11940i) q^{26} +(3.52827 + 3.81462i) q^{27} +(1.85663 + 2.18579i) q^{28} +(3.75944 + 1.04380i) q^{29} +(-1.30359 + 0.842568i) q^{30} +(-4.33588 + 3.68293i) q^{31} +(-4.30125 - 0.946777i) q^{32} +(1.39059 - 1.26032i) q^{33} +(-0.0677885 - 0.623305i) q^{34} +(0.731278 + 3.32223i) q^{35} +(-2.78178 + 4.73116i) q^{36} +(5.65369 + 5.96853i) q^{37} +(1.31151 + 0.606769i) q^{38} +(-0.613847 + 4.68250i) q^{39} +(-2.61558 - 2.22169i) q^{40} +(6.36507 + 8.37310i) q^{41} +(-0.706919 - 0.870385i) q^{42} +(-8.66795 - 4.59546i) q^{43} +(1.69853 + 1.02197i) q^{44} +(-5.54392 + 3.41260i) q^{45} +(-0.301663 + 0.757118i) q^{46} +(0.568942 - 10.4935i) q^{47} +(-5.05863 - 1.23086i) q^{48} +(4.30478 - 1.45045i) q^{49} +(0.0444830 + 0.111644i) q^{50} +(-0.226685 - 2.61985i) q^{51} +(-4.92244 + 0.806993i) q^{52} +(-0.757790 + 2.24904i) q^{53} +(1.12810 - 1.82541i) q^{54} +(1.21222 + 2.01473i) q^{55} +(1.39125 - 2.05194i) q^{56} +(5.44327 + 2.66536i) 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} +(-2.88381 - 3.71490i) q^{63} +(-0.226995 - 4.18667i) q^{64} +(-5.60700 - 1.88922i) q^{65} +(-0.655139 - 0.414100i) q^{66} +(5.58110 - 5.89190i) q^{67} +(2.58025 - 1.02807i) q^{68} +(-1.33482 + 3.14682i) q^{69} +(1.24118 - 0.658033i) q^{70} +(-12.8555 - 0.697005i) q^{71} +(4.58404 + 1.22290i) q^{72} +(0.608612 + 1.31549i) q^{73} +(1.75036 - 2.90912i) q^{74} +(0.176212 + 0.472243i) q^{75} +(-1.03567 + 6.31731i) q^{76} +(-1.35222 + 1.02793i) q^{77} +(1.93107 - 0.273069i) q^{78} +(2.11031 + 3.11247i) q^{79} +(2.73880 - 5.91983i) q^{80} +(4.89879 - 7.54995i) q^{81} +(2.62859 - 3.45785i) q^{82} +(-10.1680 + 2.23815i) q^{83} +(2.87745 - 4.04903i) q^{84} +(3.27526 + 0.356206i) q^{85} +(-0.870968 + 3.95685i) q^{86} +(0.148794 - 6.75624i) q^{87} +(0.458427 - 1.65110i) q^{88} +(2.28146 - 8.21709i) q^{89} +(1.97043 + 1.82900i) q^{90} +(0.918833 - 4.17430i) q^{91} +(-3.58929 - 0.390358i) q^{92} +(8.03191 + 5.70789i) q^{93} +(-4.23842 + 0.932946i) q^{94} +(-4.59530 + 6.04501i) q^{95} +(0.245176 + 7.62439i) q^{96} +(-0.449682 + 0.971972i) q^{97} +(-1.05276 - 1.55270i) q^{98} +(-2.70883 - 1.79686i) 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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{53}{58}\right)\) \(-1\)

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 \(-0.132849\pi\)
−0.992285 + 0.123976i \(0.960435\pi\)
\(3\) −0.426514 1.67872i −0.246248 0.969207i
\(4\) 1.56758 0.943183i 0.783791 0.471591i
\(5\) 2.16684 0.117483i 0.969039 0.0525398i 0.437181 0.899373i \(-0.355977\pi\)
0.531858 + 0.846834i \(0.321494\pi\)
\(6\) −0.620869 + 0.355184i −0.253469 + 0.145003i
\(7\) 0.253612 + 1.54697i 0.0958565 + 0.584699i 0.990456 + 0.137830i \(0.0440127\pi\)
−0.894599 + 0.446869i \(0.852539\pi\)
\(8\) −1.14813 1.08756i −0.405924 0.384512i
\(9\) −2.63617 + 1.43199i −0.878724 + 0.477331i
\(10\) −0.286144 0.849244i −0.0904865 0.268554i
\(11\) 0.507538 + 0.957318i 0.153028 + 0.288642i 0.948159 0.317796i \(-0.102943\pi\)
−0.795131 + 0.606438i \(0.792598\pi\)
\(12\) −2.25193 2.22924i −0.650077 0.643527i
\(13\) −2.53293 1.00921i −0.702507 0.279904i −0.00859390 0.999963i \(-0.502736\pi\)
−0.693913 + 0.720059i \(0.744115\pi\)
\(14\) 0.587546 0.271828i 0.157028 0.0726491i
\(15\) −1.12141 3.58740i −0.289546 0.926262i
\(16\) 1.40795 2.65568i 0.351987 0.663919i
\(17\) 1.49822 + 0.245621i 0.363372 + 0.0595718i 0.340702 0.940171i \(-0.389335\pi\)
0.0226696 + 0.999743i \(0.492783\pi\)
\(18\) 0.861063 + 0.890771i 0.202955 + 0.209957i
\(19\) −2.26534 + 2.66696i −0.519704 + 0.611843i −0.957923 0.287025i \(-0.907334\pi\)
0.438219 + 0.898868i \(0.355609\pi\)
\(20\) 3.28589 2.22789i 0.734747 0.498171i
\(21\) 2.48875 1.08555i 0.543089 0.236886i
\(22\) 0.324861 0.307724i 0.0692605 0.0656070i
\(23\) −1.57110 1.19432i −0.327597 0.249033i 0.428428 0.903576i \(-0.359068\pi\)
−0.756024 + 0.654544i \(0.772861\pi\)
\(24\) −1.33602 + 2.39124i −0.272714 + 0.488110i
\(25\) −0.289306 + 0.0314639i −0.0578612 + 0.00629279i
\(26\) −0.121742 + 1.11940i −0.0238755 + 0.219531i
\(27\) 3.52827 + 3.81462i 0.679016 + 0.734123i
\(28\) 1.85663 + 2.18579i 0.350870 + 0.413076i
\(29\) 3.75944 + 1.04380i 0.698111 + 0.193830i 0.598413 0.801188i \(-0.295798\pi\)
0.0996987 + 0.995018i \(0.468212\pi\)
\(30\) −1.30359 + 0.842568i −0.238003 + 0.153831i
\(31\) −4.33588 + 3.68293i −0.778747 + 0.661474i −0.945900 0.324457i \(-0.894818\pi\)
0.167153 + 0.985931i \(0.446543\pi\)
\(32\) −4.30125 0.946777i −0.760361 0.167368i
\(33\) 1.39059 1.26032i 0.242071 0.219394i
\(34\) −0.0677885 0.623305i −0.0116256 0.106896i
\(35\) 0.731278 + 3.32223i 0.123609 + 0.561560i
\(36\) −2.78178 + 4.73116i −0.463631 + 0.788526i
\(37\) 5.65369 + 5.96853i 0.929461 + 0.981220i 0.999867 0.0162980i \(-0.00518806\pi\)
−0.0704059 + 0.997518i \(0.522429\pi\)
\(38\) 1.31151 + 0.606769i 0.212755 + 0.0984309i
\(39\) −0.613847 + 4.68250i −0.0982942 + 0.749801i
\(40\) −2.61558 2.22169i −0.413559 0.351280i
\(41\) 6.36507 + 8.37310i 0.994056 + 1.30766i 0.951199 + 0.308578i \(0.0998529\pi\)
0.0428571 + 0.999081i \(0.486354\pi\)
\(42\) −0.706919 0.870385i −0.109080 0.134303i
\(43\) −8.66795 4.59546i −1.32185 0.700801i −0.350078 0.936721i \(-0.613845\pi\)
−0.971773 + 0.235920i \(0.924190\pi\)
\(44\) 1.69853 + 1.02197i 0.256064 + 0.154068i
\(45\) −5.54392 + 3.41260i −0.826439 + 0.508720i
\(46\) −0.301663 + 0.757118i −0.0444778 + 0.111631i
\(47\) 0.568942 10.4935i 0.0829887 1.53064i −0.599877 0.800093i \(-0.704784\pi\)
0.682865 0.730544i \(-0.260734\pi\)
\(48\) −5.05863 1.23086i −0.730151 0.177660i
\(49\) 4.30478 1.45045i 0.614969 0.207207i
\(50\) 0.0444830 + 0.111644i 0.00629085 + 0.0157888i
\(51\) −0.226685 2.61985i −0.0317423 0.366852i
\(52\) −4.92244 + 0.806993i −0.682619 + 0.111910i
\(53\) −0.757790 + 2.24904i −0.104090 + 0.308929i −0.987025 0.160567i \(-0.948668\pi\)
0.882935 + 0.469496i \(0.155564\pi\)
\(54\) 1.12810 1.82541i 0.153514 0.248406i
\(55\) 1.21222 + 2.01473i 0.163456 + 0.271666i
\(56\) 1.39125 2.05194i 0.185913 0.274201i
\(57\) 5.44327 + 2.66536i 0.720979 + 0.353036i
\(58\) 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 0.109191 0.994021i \(-0.465174\pi\)
0.606032 + 0.795440i \(0.292760\pi\)
\(62\) 1.94454 + 1.31843i 0.246957 + 0.167441i
\(63\) −2.88381 3.71490i −0.363326 0.468033i
\(64\) −0.226995 4.18667i −0.0283743 0.523334i
\(65\) −5.60700 1.88922i −0.695463 0.234329i
\(66\) −0.655139 0.414100i −0.0806421 0.0509721i
\(67\) 5.58110 5.89190i 0.681840 0.719810i −0.289586 0.957152i \(-0.593518\pi\)
0.971426 + 0.237342i \(0.0762763\pi\)
\(68\) 2.58025 1.02807i 0.312901 0.124671i
\(69\) −1.33482 + 3.14682i −0.160694 + 0.378833i
\(70\) 1.24118 0.658033i 0.148350 0.0786500i
\(71\) −12.8555 0.697005i −1.52567 0.0827193i −0.727899 0.685684i \(-0.759503\pi\)
−0.797768 + 0.602965i \(0.793986\pi\)
\(72\) 4.58404 + 1.22290i 0.540235 + 0.144120i
\(73\) 0.608612 + 1.31549i 0.0712326 + 0.153967i 0.939921 0.341392i \(-0.110899\pi\)
−0.868688 + 0.495359i \(0.835036\pi\)
\(74\) 1.75036 2.90912i 0.203475 0.338178i
\(75\) 0.176212 + 0.472243i 0.0203472 + 0.0545299i
\(76\) −1.03567 + 6.31731i −0.118800 + 0.724645i
\(77\) −1.35222 + 1.02793i −0.154100 + 0.117144i
\(78\) 1.93107 0.273069i 0.218651 0.0309189i
\(79\) 2.11031 + 3.11247i 0.237428 + 0.350181i 0.927672 0.373397i \(-0.121807\pi\)
−0.690243 + 0.723577i \(0.742497\pi\)
\(80\) 2.73880 5.91983i 0.306208 0.661857i
\(81\) 4.89879 7.54995i 0.544311 0.838884i
\(82\) 2.62859 3.45785i 0.290279 0.381855i
\(83\) −10.1680 + 2.23815i −1.11609 + 0.245669i −0.734463 0.678648i \(-0.762566\pi\)
−0.381624 + 0.924318i \(0.624635\pi\)
\(84\) 2.87745 4.04903i 0.313955 0.441785i
\(85\) 3.27526 + 0.356206i 0.355252 + 0.0386359i
\(86\) −0.870968 + 3.95685i −0.0939189 + 0.426678i
\(87\) 0.148794 6.75624i 0.0159524 0.724345i
\(88\) 0.458427 1.65110i 0.0488685 0.176008i
\(89\) 2.28146 8.21709i 0.241835 0.871010i −0.738596 0.674148i \(-0.764511\pi\)
0.980431 0.196862i \(-0.0630751\pi\)
\(90\) 1.97043 + 1.82900i 0.207702 + 0.192793i
\(91\) 0.918833 4.17430i 0.0963199 0.437586i
\(92\) −3.58929 0.390358i −0.374209 0.0406977i
\(93\) 8.03191 + 5.70789i 0.832870 + 0.591880i
\(94\) −4.23842 + 0.932946i −0.437159 + 0.0962260i
\(95\) −4.59530 + 6.04501i −0.471468 + 0.620205i
\(96\) 0.245176 + 7.62439i 0.0250232 + 0.778161i
\(97\) −0.449682 + 0.971972i −0.0456583 + 0.0986888i −0.929062 0.369924i \(-0.879384\pi\)
0.883404 + 0.468612i \(0.155246\pi\)
\(98\) −1.05276 1.55270i −0.106345 0.156847i
\(99\) −2.70883 1.79686i −0.272248 0.180592i
\(100\) −0.423835 + 0.322191i −0.0423835 + 0.0322191i
\(101\) 0.988714 6.03089i 0.0983808 0.600096i −0.890915 0.454170i \(-0.849936\pi\)
0.989296 0.145926i \(-0.0466160\pi\)
\(102\) −1.01744 + 0.379646i −0.100742 + 0.0375906i
\(103\) 1.81925 3.02361i 0.179256 0.297925i −0.754182 0.656666i \(-0.771966\pi\)
0.933437 + 0.358741i \(0.116794\pi\)
\(104\) 1.81054 + 3.91342i 0.177538 + 0.383742i
\(105\) 5.26518 2.64459i 0.513829 0.258085i
\(106\) 0.978655 + 0.0530611i 0.0950554 + 0.00515375i
\(107\) −11.7740 + 6.24220i −1.13824 + 0.603456i −0.927402 0.374066i \(-0.877963\pi\)
−0.210836 + 0.977521i \(0.567619\pi\)
\(108\) 9.12874 + 2.65192i 0.878413 + 0.255181i
\(109\) −14.3233 + 5.70694i −1.37193 + 0.546625i −0.935568 0.353148i \(-0.885111\pi\)
−0.436358 + 0.899773i \(0.643732\pi\)
\(110\) 0.667768 0.704954i 0.0636692 0.0672147i
\(111\) 7.60808 12.0366i 0.722127 1.14246i
\(112\) 4.46532 + 1.50454i 0.421933 + 0.142166i
\(113\) −1.08297 19.9742i −0.101877 1.87901i −0.389165 0.921168i \(-0.627237\pi\)
0.287288 0.957844i \(-0.407246\pi\)
\(114\) 0.459215 2.46045i 0.0430094 0.230442i
\(115\) −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
\(120\) −2.61400 + 5.33839i −0.238625 + 0.487326i
\(121\) 5.51419 8.13283i 0.501290 0.739348i
\(122\) −1.23431 2.05145i −0.111750 0.185729i
\(123\) 11.3413 14.2564i 1.02261 1.28545i
\(124\) −3.32317 + 9.86282i −0.298430 + 0.885707i
\(125\) −11.3304 + 1.85752i −1.01342 + 0.166141i
\(126\) −1.15962 + 1.55795i −0.103307 + 0.138793i
\(127\) −2.79055 7.00376i −0.247622 0.621483i 0.751653 0.659558i \(-0.229257\pi\)
−0.999275 + 0.0380751i \(0.987877\pi\)
\(128\) −9.98822 + 3.36542i −0.882842 + 0.297464i
\(129\) −4.01746 + 16.5111i −0.353718 + 1.45372i
\(130\) −0.132285 + 2.43985i −0.0116021 + 0.213989i
\(131\) −2.29661 + 5.76406i −0.200656 + 0.503609i −0.994527 0.104477i \(-0.966683\pi\)
0.793871 + 0.608086i \(0.208062\pi\)
\(132\) 0.991154 3.28724i 0.0862689 0.286118i
\(133\) −4.70022 2.82803i −0.407561 0.245221i
\(134\) −2.96110 1.56987i −0.255800 0.135617i
\(135\) 8.09335 + 7.85114i 0.696564 + 0.675719i
\(136\) −1.45302 1.91142i −0.124595 0.163903i
\(137\) −11.1732 9.49064i −0.954595 0.810840i 0.0274238 0.999624i \(-0.491270\pi\)
−0.982019 + 0.188784i \(0.939545\pi\)
\(138\) 1.39965 + 0.183485i 0.119146 + 0.0156193i
\(139\) 3.29105 + 1.52260i 0.279144 + 0.129146i 0.554466 0.832206i \(-0.312923\pi\)
−0.275322 + 0.961352i \(0.588785\pi\)
\(140\) 4.27981 + 4.51814i 0.361710 + 0.381853i
\(141\) −17.8583 + 3.52054i −1.50394 + 0.296483i
\(142\) 1.14294 + 5.19244i 0.0959136 + 0.435740i
\(143\) −0.319421 2.93703i −0.0267113 0.245607i
\(144\) 0.0913103 + 9.01699i 0.00760920 + 0.751416i
\(145\) 8.26874 + 1.82009i 0.686681 + 0.151150i
\(146\) 0.456218 0.387515i 0.0377569 0.0320710i
\(147\) −4.27095 6.60787i −0.352262 0.545008i
\(148\) 14.4920 + 4.02370i 1.19124 + 0.330746i
\(149\) 11.6854 + 13.7572i 0.957308 + 1.12703i 0.991822 + 0.127626i \(0.0407356\pi\)
−0.0345146 + 0.999404i \(0.510989\pi\)
\(150\) 0.168446 0.122292i 0.0137535 0.00998510i
\(151\) −0.545456 + 5.01539i −0.0443886 + 0.408146i 0.950773 + 0.309890i \(0.100292\pi\)
−0.995161 + 0.0982567i \(0.968673\pi\)
\(152\) 5.50139 0.598312i 0.446222 0.0485295i
\(153\) −4.30129 + 1.49794i −0.347739 + 0.121101i
\(154\) 0.558428 + 0.424506i 0.0449994 + 0.0342077i
\(155\) −8.96247 + 8.48970i −0.719883 + 0.681909i
\(156\) 3.45420 + 7.91918i 0.276557 + 0.634042i
\(157\) −17.2164 + 11.6730i −1.37402 + 0.931608i −0.374027 + 0.927418i \(0.622023\pi\)
−0.999991 + 0.00418976i \(0.998666\pi\)
\(158\) 1.00536 1.18360i 0.0799821 0.0941622i
\(159\) 4.09871 + 0.312866i 0.325049 + 0.0248119i
\(160\) −9.43134 1.54619i −0.745613 0.122237i
\(161\) 1.44912 2.73333i 0.114207 0.215417i
\(162\) −3.54549 1.11519i −0.278560 0.0876175i
\(163\) 15.1414 7.00515i 1.18597 0.548686i 0.275110 0.961413i \(-0.411286\pi\)
0.910855 + 0.412727i \(0.135424\pi\)
\(164\) 17.8751 + 7.12210i 1.39581 + 0.556143i
\(165\) 2.86512 2.89428i 0.223050 0.225320i
\(166\) 2.01398 + 3.79877i 0.156315 + 0.294842i
\(167\) 5.96341 + 17.6988i 0.461463 + 1.36957i 0.885800 + 0.464068i \(0.153611\pi\)
−0.424337 + 0.905504i \(0.639493\pi\)
\(168\) −4.03800 1.46033i −0.311539 0.112667i
\(169\) −4.04073 3.82759i −0.310826 0.294430i
\(170\) −0.220114 1.34264i −0.0168820 0.102976i
\(171\) 2.15275 10.2745i 0.164625 0.785712i
\(172\) −17.9221 + 0.971707i −1.36655 + 0.0740920i
\(173\) −6.34719 + 3.81898i −0.482568 + 0.290352i −0.735976 0.677008i \(-0.763276\pi\)
0.253408 + 0.967360i \(0.418449\pi\)
\(174\) −2.70487 + 0.687230i −0.205055 + 0.0520988i
\(175\) −0.122045 0.439567i −0.00922576 0.0332282i
\(176\) 3.25692 0.245499
\(177\) 10.3577 8.34975i 0.778532 0.627605i
\(178\) −3.52179 −0.263969
\(179\) −0.168600 0.607243i −0.0126018 0.0453875i 0.956982 0.290148i \(-0.0937045\pi\)
−0.969584 + 0.244760i \(0.921291\pi\)
\(180\) −5.47184 + 10.5785i −0.407847 + 0.788472i
\(181\) 2.99237 1.80045i 0.222421 0.133827i −0.399982 0.916523i \(-0.630984\pi\)
0.622404 + 0.782696i \(0.286156\pi\)
\(182\) −1.76254 + 0.0955623i −0.130648 + 0.00708355i
\(183\) −4.98617 8.71592i −0.368588 0.644299i
\(184\) 0.504924 + 3.07990i 0.0372235 + 0.227053i
\(185\) 12.9518 + 12.2686i 0.952238 + 0.902007i
\(186\) 1.38389 3.82665i 0.101472 0.280584i
\(187\) 0.525267 + 1.55894i 0.0384113 + 0.114001i
\(188\) −9.00544 16.9861i −0.656789 1.23884i
\(189\) −5.00627 + 6.42556i −0.364153 + 0.467390i
\(190\) 2.91311 + 1.16069i 0.211339 + 0.0842053i
\(191\) 2.82095 1.30511i 0.204116 0.0944343i −0.315168 0.949036i \(-0.602061\pi\)
0.519284 + 0.854602i \(0.326199\pi\)
\(192\) −6.93141 + 2.16673i −0.500232 + 0.156371i
\(193\) −3.71262 + 7.00274i −0.267240 + 0.504068i −0.980421 0.196912i \(-0.936909\pi\)
0.713181 + 0.700980i \(0.247254\pi\)
\(194\) 0.436447 + 0.0715518i 0.0313350 + 0.00513712i
\(195\) −0.779994 + 10.2183i −0.0558565 + 0.731751i
\(196\) 5.38006 6.33390i 0.384290 0.452421i
\(197\) 18.0471 12.2362i 1.28580 0.871796i 0.289456 0.957191i \(-0.406526\pi\)
0.996347 + 0.0853955i \(0.0272154\pi\)
\(198\) −0.415729 + 1.27641i −0.0295446 + 0.0907106i
\(199\) −7.60676 + 7.20551i −0.539229 + 0.510785i −0.908133 0.418683i \(-0.862492\pi\)
0.368903 + 0.929468i \(0.379733\pi\)
\(200\) 0.366379 + 0.278514i 0.0259069 + 0.0196939i
\(201\) −12.2712 6.85610i −0.865546 0.483592i
\(202\) −2.50903 + 0.272874i −0.176535 + 0.0191993i
\(203\) −0.661290 + 6.08046i −0.0464134 + 0.426765i
\(204\) −2.82634 3.89302i −0.197884 0.272566i
\(205\) 14.7758 + 17.3954i 1.03198 + 1.21495i
\(206\) −1.40414 0.389858i −0.0978312 0.0271627i
\(207\) 5.85194 + 0.898625i 0.406738 + 0.0624588i
\(208\) −6.24637 + 5.30571i −0.433108 + 0.367885i
\(209\) −3.70288 0.815065i −0.256133 0.0563792i
\(210\) −1.63403 1.80293i −0.112759 0.124414i
\(211\) −2.07923 19.1182i −0.143140 1.31615i −0.816718 0.577037i \(-0.804209\pi\)
0.673578 0.739116i \(-0.264757\pi\)
\(212\) 0.933358 + 4.24029i 0.0641033 + 0.291224i
\(213\) 4.31298 + 21.8780i 0.295521 + 1.49906i
\(214\) 3.78469 + 3.99545i 0.258716 + 0.273123i
\(215\) −19.3219 8.93928i −1.31774 0.609654i
\(216\) 0.0977321 8.21689i 0.00664983 0.559088i
\(217\) −6.79700 5.77343i −0.461411 0.391926i
\(218\) 3.85335 + 5.06900i 0.260982 + 0.343316i
\(219\) 1.94876 1.58276i 0.131685 0.106953i
\(220\) 3.80051 + 2.01490i 0.256230 + 0.135845i
\(221\) −3.54700 2.13416i −0.238597 0.143559i
\(222\) −5.63013 1.69757i −0.377870 0.113934i
\(223\) 5.50442 13.8150i 0.368603 0.925124i −0.621325 0.783553i \(-0.713405\pi\)
0.989928 0.141571i \(-0.0452154\pi\)
\(224\) 0.373782 6.89401i 0.0249744 0.460625i
\(225\) 0.717604 0.497229i 0.0478403 0.0331486i
\(226\) −7.82843 + 2.63771i −0.520740 + 0.175458i
\(227\) 0.0477030 + 0.119726i 0.00316616 + 0.00794646i 0.930551 0.366162i \(-0.119328\pi\)
−0.927385 + 0.374108i \(0.877949\pi\)
\(228\) 11.0467 0.955827i 0.731585 0.0633012i
\(229\) −10.0827 + 1.65297i −0.666281 + 0.109231i −0.485425 0.874278i \(-0.661335\pi\)
−0.180856 + 0.983510i \(0.557887\pi\)
\(230\) −0.564707 + 1.67599i −0.0372357 + 0.110512i
\(231\) 2.30235 + 1.83157i 0.151483 + 0.120508i
\(232\) −3.18112 5.28706i −0.208851 0.347112i
\(233\) 11.6939 17.2471i 0.766090 1.12990i −0.221853 0.975080i \(-0.571211\pi\)
0.987943 0.154818i \(-0.0494790\pi\)
\(234\) −1.28203 3.12525i −0.0838092 0.204304i
\(235\) 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 \(-0.232065\pi\)
−0.342799 + 0.939409i \(0.611375\pi\)
\(240\) −11.1058 2.07278i −0.716879 0.133797i
\(241\) 0.233329 + 4.30350i 0.0150301 + 0.277213i 0.996382 + 0.0849918i \(0.0270864\pi\)
−0.981352 + 0.192221i \(0.938431\pi\)
\(242\) −3.84541 1.29567i −0.247193 0.0832889i
\(243\) −14.7636 5.00352i −0.947087 0.320976i
\(244\) 7.29379 7.69996i 0.466937 0.492939i
\(245\) 9.15737 3.64863i 0.585043 0.233102i
\(246\) −6.92587 2.93783i −0.441577 0.187309i
\(247\) 8.42946 4.46901i 0.536353 0.284357i
\(248\) 8.98357 + 0.487075i 0.570457 + 0.0309293i
\(249\) 8.09404 + 16.1146i 0.512939 + 1.02122i
\(250\) 1.99093 + 4.30333i 0.125918 + 0.272166i
\(251\) 12.3492 20.5245i 0.779475 1.29550i −0.171178 0.985240i \(-0.554757\pi\)
0.950653 0.310257i \(-0.100415\pi\)
\(252\) −8.02444 3.10345i −0.505492 0.195499i
\(253\) 0.345950 2.11020i 0.0217497 0.132667i
\(254\) −2.47862 + 1.88420i −0.155522 + 0.118225i
\(255\) −0.798976 5.65015i −0.0500338 0.353826i
\(256\) −2.26324 3.33803i −0.141452 0.208627i
\(257\) −8.98292 + 19.4163i −0.560339 + 1.21115i 0.395826 + 0.918325i \(0.370458\pi\)
−0.956165 + 0.292828i \(0.905404\pi\)
\(258\) 7.01390 0.225545i 0.436666 0.0140418i
\(259\) −7.79927 + 10.2598i −0.484623 + 0.637511i
\(260\) −10.5713 + 2.32692i −0.655605 + 0.144310i
\(261\) −11.4053 + 2.63185i −0.705968 + 0.162907i
\(262\) 2.54736 + 0.277042i 0.157376 + 0.0171157i
\(263\) 2.79350 12.6910i 0.172254 0.782559i −0.808684 0.588243i \(-0.799820\pi\)
0.980939 0.194317i \(-0.0622490\pi\)
\(264\) −2.96726 0.0653485i −0.182622 0.00402192i
\(265\) −1.37778 + 4.96233i −0.0846367 + 0.304834i
\(266\) −0.606036 + 2.18275i −0.0371585 + 0.133833i
\(267\) −14.7672 0.325222i −0.903740 0.0199032i
\(268\) 3.19170 14.5000i 0.194964 0.885730i
\(269\) 13.0815 + 1.42269i 0.797590 + 0.0867432i 0.497834 0.867273i \(-0.334129\pi\)
0.299757 + 0.954016i \(0.403095\pi\)
\(270\) 2.22995 4.08789i 0.135710 0.248781i
\(271\) 17.5991 3.87387i 1.06907 0.235321i 0.354624 0.935009i \(-0.384609\pi\)
0.714448 + 0.699688i \(0.246678\pi\)
\(272\) 2.76171 3.63297i 0.167453 0.220281i
\(273\) −7.39936 + 0.237940i −0.447829 + 0.0144008i
\(274\) −2.54206 + 5.49457i −0.153571 + 0.331939i
\(275\) −0.176955 0.260989i −0.0106708 0.0157382i
\(276\) 0.875581 + 6.19188i 0.0527038 + 0.372708i
\(277\) 20.8460 15.8467i 1.25252 0.952139i 0.252636 0.967561i \(-0.418703\pi\)
0.999881 + 0.0154229i \(0.00490947\pi\)
\(278\) 0.242271 1.47779i 0.0145305 0.0886319i
\(279\) 6.15619 15.9178i 0.368562 0.952973i
\(280\) 2.77354 4.60966i 0.165751 0.275480i
\(281\) −6.57283 14.2069i −0.392102 0.847515i −0.998624 0.0524478i \(-0.983298\pi\)
0.606522 0.795067i \(-0.292564\pi\)
\(282\) 3.37390 + 6.71718i 0.200913 + 0.400002i
\(283\) 1.16157 + 0.0629787i 0.0690484 + 0.00374370i 0.0886307 0.996065i \(-0.471751\pi\)
−0.0195823 + 0.999808i \(0.506234\pi\)
\(284\) −20.8095 + 11.0325i −1.23481 + 0.654657i
\(285\) 12.1078 + 5.13591i 0.717205 + 0.304225i
\(286\) −1.13341 + 0.451590i −0.0670197 + 0.0267031i
\(287\) −11.3387 + 11.9701i −0.669299 + 0.706571i
\(288\) 12.6946 3.66349i 0.748037 0.215873i
\(289\) −13.9258 4.69214i −0.819163 0.276008i
\(290\) −0.189296 3.49136i −0.0111159 0.205020i
\(291\) 1.82346 + 0.340328i 0.106893 + 0.0199504i
\(292\) 2.19480 + 1.48811i 0.128441 + 0.0870851i
\(293\) −5.53070 + 1.53559i −0.323107 + 0.0897102i −0.425295 0.905055i \(-0.639830\pi\)
0.102188 + 0.994765i \(0.467416\pi\)
\(294\) −2.15753 + 2.42953i −0.125830 + 0.141693i
\(295\) 7.75364 + 14.7550i 0.451434 + 0.859072i
\(296\) 13.0014i 0.755690i
\(297\) −1.86107 + 5.31374i −0.107990 + 0.308335i
\(298\) 4.18319 6.16975i 0.242326 0.357404i
\(299\) 2.77416 + 4.61069i 0.160434 + 0.266643i
\(300\) 0.721638 + 0.574079i 0.0416638 + 0.0331445i
\(301\) 4.91072 14.5745i 0.283049 0.840060i
\(302\) 2.05597 0.337060i 0.118308 0.0193956i
\(303\) −10.5459 + 0.912492i −0.605843 + 0.0524213i
\(304\) 3.89310 + 9.77095i 0.223285 + 0.560402i
\(305\) 11.9219 4.01696i 0.682646 0.230010i
\(306\) 1.07127 + 1.54607i 0.0612405 + 0.0883828i
\(307\) −1.55979 + 28.7686i −0.0890217 + 1.64191i 0.523911 + 0.851773i \(0.324473\pi\)
−0.612932 + 0.790135i \(0.710010\pi\)
\(308\) −1.15019 + 2.88676i −0.0655382 + 0.164488i
\(309\) −5.85172 1.76438i −0.332893 0.100372i
\(310\) 4.36839 + 2.62837i 0.248108 + 0.149282i
\(311\) 13.6885 + 7.25716i 0.776201 + 0.411516i 0.808898 0.587950i \(-0.200065\pi\)
−0.0326967 + 0.999465i \(0.510410\pi\)
\(312\) 5.79730 4.70851i 0.328207 0.266567i
\(313\) 15.7701 + 20.7452i 0.891377 + 1.17259i 0.984228 + 0.176907i \(0.0566091\pi\)
−0.0928503 + 0.995680i \(0.529598\pi\)
\(314\) 6.54699 + 5.56106i 0.369468 + 0.313829i
\(315\) −6.68519 7.71079i −0.376668 0.434454i
\(316\) 6.24371 + 2.88865i 0.351236 + 0.162499i
\(317\) −8.97982 9.47988i −0.504357 0.532443i 0.423244 0.906016i \(-0.360891\pi\)
−0.927601 + 0.373573i \(0.878133\pi\)
\(318\) −0.328336 1.66551i −0.0184122 0.0933974i
\(319\) 0.908808 + 4.12876i 0.0508835 + 0.231166i
\(320\) −0.983721 9.04517i −0.0549917 0.505640i
\(321\) 15.5007 + 17.1029i 0.865163 + 0.954589i
\(322\) −1.24774 0.274649i −0.0695340 0.0153056i
\(323\) −4.04904 + 3.43928i −0.225294 + 0.191367i
\(324\) 0.558276 16.4556i 0.0310153 0.914202i
\(325\) 0.764545 + 0.212275i 0.0424093 + 0.0117749i
\(326\) −4.46032 5.25109i −0.247034 0.290831i
\(327\) 15.6894 + 21.6107i 0.867627 + 1.19507i
\(328\) 1.79838 16.5358i 0.0992988 0.913037i
\(329\) 16.3774 1.78115i 0.902916 0.0981981i
\(330\) −1.46823 0.820319i −0.0808234 0.0451571i
\(331\) −26.8078 20.3787i −1.47349 1.12012i −0.966027 0.258443i \(-0.916791\pi\)
−0.507462 0.861674i \(-0.669416\pi\)
\(332\) −13.8282 + 13.0988i −0.758923 + 0.718890i
\(333\) −23.4510 7.63802i −1.28511 0.418561i
\(334\) 6.38381 4.32833i 0.349307 0.236836i
\(335\) 11.4011 13.4225i 0.622911 0.733347i
\(336\) 0.621173 8.13770i 0.0338878 0.443948i
\(337\) −3.85373 0.631787i −0.209926 0.0344156i 0.0559012 0.998436i \(-0.482197\pi\)
−0.265827 + 0.964021i \(0.585645\pi\)
\(338\) −1.07664 + 2.03076i −0.0585615 + 0.110459i
\(339\) −33.0690 + 10.3373i −1.79606 + 0.561443i
\(340\) 5.47020 2.53078i 0.296663 0.137251i
\(341\) −5.72636 2.28159i −0.310100 0.123555i
\(342\) −4.32625 + 0.278525i −0.233937 + 0.0150609i
\(343\) 8.47554 + 15.9866i 0.457636 + 0.863194i
\(344\) 4.95406 + 14.7031i 0.267105 + 0.792739i
\(345\) −2.52265 + 6.97547i −0.135815 + 0.375547i
\(346\) 2.22089 + 2.10374i 0.119396 + 0.113098i
\(347\) 1.41740 + 8.64577i 0.0760901 + 0.464129i 0.997197 + 0.0748196i \(0.0238381\pi\)
−0.921107 + 0.389310i \(0.872714\pi\)
\(348\) −6.13912 10.7313i −0.329091 0.575258i
\(349\) −26.8313 + 1.45475i −1.43625 + 0.0778710i −0.755741 0.654871i \(-0.772723\pi\)
−0.680506 + 0.732742i \(0.738240\pi\)
\(350\) −0.161428 + 0.0971280i −0.00862869 + 0.00519171i
\(351\) −5.08710 13.2229i −0.271530 0.705786i
\(352\) −1.27668 4.59819i −0.0680474 0.245084i
\(353\) 14.6961 0.782196 0.391098 0.920349i \(-0.372095\pi\)
0.391098 + 0.920349i \(0.372095\pi\)
\(354\) −4.46684 3.19902i −0.237410 0.170026i
\(355\) −27.9377 −1.48278
\(356\) −4.17384 15.0328i −0.221213 0.796737i
\(357\) 3.99533 1.01510i 0.211455 0.0537248i
\(358\) −0.223006 + 0.134178i −0.0117862 + 0.00709153i
\(359\) 27.8993 1.51266i 1.47247 0.0798349i 0.699660 0.714476i \(-0.253335\pi\)
0.772807 + 0.634641i \(0.218852\pi\)
\(360\) 10.0765 + 2.11127i 0.531081 + 0.111274i
\(361\) 1.09293 + 6.66657i 0.0575225 + 0.350872i
\(362\) −1.04703 0.991803i −0.0550309 0.0521280i
\(363\) −16.0046 5.78799i −0.840023 0.303791i
\(364\) −2.49678 7.41018i −0.130867 0.388399i
\(365\) 1.47331 + 2.77896i 0.0771166 + 0.145457i
\(366\) −2.91734 + 2.94703i −0.152492 + 0.154044i
\(367\) −6.58869 2.62517i −0.343927 0.137033i 0.191778 0.981438i \(-0.438575\pi\)
−0.535705 + 0.844405i \(0.679954\pi\)
\(368\) −5.38375 + 2.49079i −0.280647 + 0.129841i
\(369\) −28.7696 12.9582i −1.49769 0.674577i
\(370\) 3.45097 6.50922i 0.179407 0.338398i
\(371\) −3.67138 0.601892i −0.190608 0.0312487i
\(372\) 17.9743 + 1.37202i 0.931921 + 0.0711361i
\(373\) −14.5926 + 17.1798i −0.755577 + 0.889534i −0.996718 0.0809564i \(-0.974203\pi\)
0.241141 + 0.970490i \(0.422478\pi\)
\(374\) 0.562296 0.381246i 0.0290757 0.0197138i
\(375\) 7.95080 + 18.2282i 0.410578 + 0.941299i
\(376\) −12.0656 + 11.4291i −0.622235 + 0.589413i
\(377\) −8.46898 6.43795i −0.436174 0.331571i
\(378\) 3.10994 + 1.28218i 0.159958 + 0.0659483i
\(379\) −25.3530 + 2.75730i −1.30230 + 0.141633i −0.732847 0.680394i \(-0.761809\pi\)
−0.569448 + 0.822027i \(0.692843\pi\)
\(380\) −1.50196 + 13.8103i −0.0770487 + 0.708451i
\(381\) −10.5671 + 7.67175i −0.541370 + 0.393036i
\(382\) −0.830988 0.978315i −0.0425170 0.0500549i
\(383\) 31.4959 + 8.74480i 1.60937 + 0.446838i 0.951841 0.306593i \(-0.0991892\pi\)
0.657526 + 0.753432i \(0.271603\pi\)
\(384\) 9.90971 + 15.3320i 0.505703 + 0.782407i
\(385\) −2.80928 + 2.38623i −0.143174 + 0.121613i
\(386\) 3.19669 + 0.703644i 0.162707 + 0.0358146i
\(387\) 29.4309 0.298031i 1.49606 0.0151498i
\(388\) 0.211834 + 1.94778i 0.0107542 + 0.0988835i
\(389\) 0.309386 + 1.40555i 0.0156865 + 0.0712643i 0.983814 0.179195i \(-0.0573493\pi\)
−0.968127 + 0.250459i \(0.919418\pi\)
\(390\) 4.15224 0.818563i 0.210257 0.0414495i
\(391\) −2.06050 2.17525i −0.104204 0.110007i
\(392\) −6.51990 3.01643i −0.329305 0.152353i
\(393\) 10.6558 + 1.39690i 0.537512 + 0.0704645i
\(394\) −6.86289 5.82939i −0.345747 0.293680i
\(395\) 4.93836 + 6.49630i 0.248476 + 0.326864i
\(396\) −5.94108 0.261810i −0.298551 0.0131565i
\(397\) 12.1887 + 6.46205i 0.611734 + 0.324321i 0.745310 0.666718i \(-0.232301\pi\)
−0.133576 + 0.991039i \(0.542646\pi\)
\(398\) 3.70761 + 2.23079i 0.185845 + 0.111820i
\(399\) −2.74274 + 9.09653i −0.137309 + 0.455396i
\(400\) −0.323771 + 0.812603i −0.0161885 + 0.0406301i
\(401\) −1.13008 + 20.8431i −0.0564335 + 1.04086i 0.823971 + 0.566632i \(0.191754\pi\)
−0.880404 + 0.474224i \(0.842729\pi\)
\(402\) −1.37242 + 5.64041i −0.0684502 + 0.281318i
\(403\) 14.6993 4.95277i 0.732225 0.246715i
\(404\) −4.13834 10.3865i −0.205890 0.516745i
\(405\) 9.72791 16.9350i 0.483384 0.841509i
\(406\) 2.49258 0.408638i 0.123705 0.0202804i
\(407\) −2.84432 + 8.44164i −0.140988 + 0.418437i
\(408\) −2.58899 + 3.25445i −0.128174 + 0.161119i
\(409\) 11.9273 + 19.8233i 0.589767 + 0.980200i 0.997739 + 0.0672056i \(0.0214084\pi\)
−0.407972 + 0.912994i \(0.633764\pi\)
\(410\) 5.28948 7.80140i 0.261229 0.385284i
\(411\) −11.1665 + 22.8046i −0.550805 + 1.12487i
\(412\) 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
\(417\) 1.15234 6.17416i 0.0564302 0.302350i
\(418\) 0.0847700 + 1.56349i 0.00414624 + 0.0764728i
\(419\) −17.3275 5.83832i −0.846504 0.285221i −0.137567 0.990492i \(-0.543928\pi\)
−0.708937 + 0.705272i \(0.750825\pi\)
\(420\) 5.75927 9.11164i 0.281024 0.444602i
\(421\) 13.0773 13.8056i 0.637351 0.672843i −0.324668 0.945828i \(-0.605252\pi\)
0.962018 + 0.272985i \(0.0880110\pi\)
\(422\) −7.37777 + 2.93957i −0.359144 + 0.143096i
\(423\) 13.5268 + 28.4774i 0.657696 + 1.38462i
\(424\) 3.31602 1.75804i 0.161040 0.0853780i
\(425\) −0.441173 0.0239197i −0.0214000 0.00116028i
\(426\) 8.22915 4.13333i 0.398703 0.200260i
\(427\) 3.81599 + 8.24813i 0.184669 + 0.399155i
\(428\) −12.5692 + 20.8902i −0.607556 + 1.00977i
\(429\) −4.79420 + 1.78890i −0.231466 + 0.0863690i
\(430\) −1.42239 + 8.67617i −0.0685935 + 0.418402i
\(431\) −16.2103 + 12.3227i −0.780821 + 0.593565i −0.917816 0.397007i \(-0.870049\pi\)
0.136994 + 0.990572i \(0.456256\pi\)
\(432\) 15.0980 3.99916i 0.726403 0.192410i
\(433\) −4.08778 6.02902i −0.196446 0.289736i 0.716689 0.697393i \(-0.245657\pi\)
−0.913136 + 0.407656i \(0.866346\pi\)
\(434\) −1.54641 + 3.34251i −0.0742299 + 0.160445i
\(435\) −0.471328 14.6571i −0.0225984 0.702756i
\(436\) −17.0703 + 22.4556i −0.817519 + 1.07543i
\(437\) 6.74427 1.48453i 0.322622 0.0710145i
\(438\) −0.845111 0.600579i −0.0403810 0.0286968i
\(439\) 23.4114 + 2.54614i 1.11737 + 0.121521i 0.648114 0.761544i \(-0.275558\pi\)
0.469252 + 0.883064i \(0.344524\pi\)
\(440\) 0.799360 3.63153i 0.0381080 0.173126i
\(441\) −9.27111 + 9.98805i −0.441482 + 0.475622i
\(442\) −0.457343 + 1.64720i −0.0217536 + 0.0783493i
\(443\) −6.72538 + 24.2226i −0.319533 + 1.15085i 0.613094 + 0.790010i \(0.289925\pi\)
−0.932627 + 0.360843i \(0.882489\pi\)
\(444\) 0.573576 26.0442i 0.0272207 1.23600i
\(445\) 3.97820 18.0731i 0.188585 0.856749i
\(446\) −6.10539 0.664001i −0.289099 0.0314414i
\(447\) 18.1103 25.4841i 0.856590 1.20536i
\(448\) 6.41907 1.41294i 0.303273 0.0667554i
\(449\) 14.4989 19.0730i 0.684247 0.900111i −0.314546 0.949242i \(-0.601852\pi\)
0.998792 + 0.0491311i \(0.0156452\pi\)
\(450\) −0.277138 0.230613i −0.0130644 0.0108712i
\(451\) −4.78521 + 10.3431i −0.225327 + 0.487036i
\(452\) −20.5369 30.2897i −0.965976 1.42471i
\(453\) 8.65205 1.22347i 0.406509 0.0574836i
\(454\) 0.0423706 0.0322093i 0.00198855 0.00151166i
\(455\) 1.50055 9.15298i 0.0703471 0.429098i
\(456\) −3.35082 8.98008i −0.156916 0.420531i
\(457\) −5.20520 + 8.65110i −0.243489 + 0.404681i −0.954368 0.298632i \(-0.903470\pi\)
0.710879 + 0.703314i \(0.248297\pi\)
\(458\) 1.77169 + 3.82945i 0.0827857 + 0.178938i
\(459\) 4.34918 + 6.58175i 0.203002 + 0.307210i
\(460\) −7.82326 0.424165i −0.364761 0.0197768i
\(461\) −13.6786 + 7.25195i −0.637077 + 0.337757i −0.755444 0.655213i \(-0.772579\pi\)
0.118367 + 0.992970i \(0.462234\pi\)
\(462\) 0.474447 1.11850i 0.0220733 0.0520373i
\(463\) 36.1289 14.3951i 1.67905 0.668995i 0.681053 0.732234i \(-0.261522\pi\)
0.997998 + 0.0632393i \(0.0201431\pi\)
\(464\) 8.06512 8.51424i 0.374414 0.395264i
\(465\) 18.0744 + 11.4245i 0.838181 + 0.529796i
\(466\) −8.15490 2.74770i −0.377768 0.127285i
\(467\) 0.343798 + 6.34098i 0.0159091 + 0.293425i 0.995651 + 0.0931614i \(0.0296972\pi\)
−0.979742 + 0.200264i \(0.935820\pi\)
\(468\) 11.8208 9.17626i 0.546416 0.424173i
\(469\) 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
\(474\) −2.41573 1.18289i −0.110958 0.0543319i
\(475\) 0.571463 0.842845i 0.0262205 0.0386724i
\(476\) 2.24477 + 3.73083i 0.102889 + 0.171002i
\(477\) −1.22295 7.01400i −0.0559948 0.321149i
\(478\) 0.992579 2.94587i 0.0453995 0.134741i
\(479\) 11.5636 1.89576i 0.528356 0.0866196i 0.108301 0.994118i \(-0.465459\pi\)
0.420055 + 0.907499i \(0.362011\pi\)
\(480\) 1.42699 + 16.4920i 0.0651329 + 0.752754i
\(481\) −8.29688 20.8236i −0.378305 0.949475i
\(482\) 1.68666 0.568303i 0.0768254 0.0258855i
\(483\) −5.20656 1.26686i −0.236907 0.0576439i
\(484\) 0.973208 17.9498i 0.0442367 0.815898i
\(485\) −0.860199 + 2.15894i −0.0390596 + 0.0980322i
\(486\) −0.359884 + 6.42751i −0.0163247 + 0.291558i
\(487\) 15.9230 + 9.58056i 0.721541 + 0.434137i 0.828400 0.560137i \(-0.189252\pi\)
−0.106859 + 0.994274i \(0.534079\pi\)
\(488\) −8.10030 4.29451i −0.366683 0.194403i
\(489\) −18.2177 22.4303i −0.823832 1.01433i
\(490\) −2.46357 3.24077i −0.111293 0.146403i
\(491\) −22.4995 19.1113i −1.01539 0.862479i −0.0248472 0.999691i \(-0.507910\pi\)
−0.990542 + 0.137212i \(0.956186\pi\)
\(492\) 4.33198 33.0449i 0.195301 1.48978i
\(493\) 5.37610 + 2.48725i 0.242127 + 0.112020i
\(494\) −2.70960 2.86049i −0.121911 0.128699i
\(495\) −6.08070 3.57527i −0.273307 0.160697i
\(496\) 3.67596 + 16.7001i 0.165056 + 0.749855i
\(497\) −2.18207 20.0638i −0.0978792 0.899985i
\(498\) 5.51806 5.00113i 0.247270 0.224106i
\(499\) 14.6875 + 3.23297i 0.657505 + 0.144728i 0.531177 0.847261i \(-0.321750\pi\)
0.126328 + 0.991989i \(0.459681\pi\)
\(500\) −16.0093 + 13.5984i −0.715957 + 0.608139i
\(501\) 27.1677 17.5596i 1.21376 0.784507i
\(502\) −9.53143 2.64639i −0.425409 0.118114i
\(503\) −18.9608 22.3224i −0.845420 0.995305i −0.999973 0.00732067i \(-0.997670\pi\)
0.154553 0.987984i \(-0.450606\pi\)
\(504\) −0.729208 + 7.40151i −0.0324815 + 0.329689i
\(505\) 1.43386 13.1841i 0.0638059 0.586686i
\(506\) −0.877909 + 0.0954783i −0.0390278 + 0.00424453i
\(507\) −4.70200 + 8.41576i −0.208823 + 0.373757i
\(508\) −10.9802 8.34697i −0.487170 0.370337i
\(509\) 16.4850 15.6154i 0.730685 0.692142i −0.228934 0.973442i \(-0.573524\pi\)
0.959620 + 0.281300i \(0.0907655\pi\)
\(510\) −2.16002 + 0.942163i −0.0956475 + 0.0417197i
\(511\) −1.88067 + 1.27513i −0.0831961 + 0.0564083i
\(512\) −14.7251 + 17.3357i −0.650762 + 0.766136i
\(513\) −18.1662 + 0.768376i −0.802056 + 0.0339246i
\(514\) 8.71852 + 1.42933i 0.384558 + 0.0630450i
\(515\) 3.58679 6.76540i 0.158053 0.298119i
\(516\) 9.27524 + 29.6716i 0.408320 + 1.30622i
\(517\) 10.3344 4.78120i 0.454506 0.210277i
\(518\) 4.94422 + 1.96996i 0.217237 + 0.0865550i
\(519\) 9.11815 + 9.02628i 0.400242 + 0.396210i
\(520\) 4.38291 + 8.26704i 0.192203 + 0.362534i
\(521\) −0.748485 2.22143i −0.0327917 0.0973224i 0.930007 0.367542i \(-0.119800\pi\)
−0.962799 + 0.270219i \(0.912904\pi\)
\(522\) 2.30733 + 4.24759i 0.100989 + 0.185912i
\(523\) −14.1354 13.3898i −0.618099 0.585495i 0.313228 0.949678i \(-0.398590\pi\)
−0.931327 + 0.364183i \(0.881348\pi\)
\(524\) 1.83644 + 11.2018i 0.0802251 + 0.489351i
\(525\) −0.685855 + 0.392361i −0.0299331 + 0.0171240i
\(526\) −5.35860 + 0.290535i −0.233646 + 0.0126679i
\(527\) −7.40071 + 4.45286i −0.322380 + 0.193970i
\(528\) −1.38912 5.46743i −0.0604537 0.237940i
\(529\) −5.11120 18.4089i −0.222226 0.800386i
\(530\) 2.12682 0.0923832
\(531\) −18.4346 13.8263i −0.799991 0.600012i
\(532\) −10.0353 −0.435087
\(533\) −7.67202 27.6321i −0.332312 1.19688i
\(534\) 1.50209 + 5.91208i 0.0650019 + 0.255841i
\(535\) −24.7791 + 14.9091i −1.07129 + 0.644575i
\(536\) −12.8156 + 0.694843i −0.553551 + 0.0300127i
\(537\) −0.947478 + 0.542030i −0.0408867 + 0.0233903i
\(538\) −0.879141 5.36252i −0.0379025 0.231195i
\(539\) 3.57339 + 3.38489i 0.153917 + 0.145798i
\(540\) 20.0920 + 4.67381i 0.864624 + 0.201129i
\(541\) −0.291174 0.864173i −0.0125185 0.0371537i 0.941212 0.337817i \(-0.109689\pi\)
−0.953730 + 0.300663i \(0.902792\pi\)
\(542\) −3.48586 6.57503i −0.149730 0.282422i
\(543\) −4.29874 4.25543i −0.184476 0.182618i
\(544\) −6.21168 2.47496i −0.266323 0.106113i
\(545\) −30.3659 + 14.0487i −1.30073 + 0.601782i
\(546\) 0.912172 + 2.91805i 0.0390373 + 0.124881i
\(547\) 4.52758 8.53993i 0.193585 0.365141i −0.767650 0.640869i \(-0.778574\pi\)
0.961236 + 0.275728i \(0.0889190\pi\)
\(548\) −26.4664 4.33894i −1.13059 0.185350i
\(549\) −12.5049 + 12.0878i −0.533695 + 0.515896i
\(550\) −0.0843019 + 0.0992479i −0.00359465 + 0.00423195i
\(551\) −11.3002 + 7.66173i −0.481405 + 0.326400i
\(552\) 4.95492 2.16125i 0.210895 0.0919887i
\(553\) −4.27969 + 4.05394i −0.181991 + 0.172391i
\(554\) −8.60880 6.54424i −0.365753 0.278038i
\(555\) 15.0714 26.9752i 0.639745 1.14503i
\(556\) 6.59509 0.717259i 0.279694 0.0304186i
\(557\) −0.545900 + 5.01947i −0.0231305 + 0.212682i −0.999999 0.00115784i \(-0.999631\pi\)
0.976869 + 0.213840i \(0.0685970\pi\)
\(558\) −7.01411 0.691042i −0.296931 0.0292541i
\(559\) 17.3175 + 20.3877i 0.732452 + 0.862309i
\(560\) 9.85237 + 2.73550i 0.416339 + 0.115596i
\(561\) 2.39298 1.54668i 0.101032 0.0653010i
\(562\) −4.92702 + 4.18505i −0.207834 + 0.176536i
\(563\) 28.2135 + 6.21025i 1.18906 + 0.261731i 0.765075 0.643941i \(-0.222702\pi\)
0.423980 + 0.905672i \(0.360633\pi\)
\(564\) −24.6738 + 22.3624i −1.03896 + 0.941626i
\(565\) −4.69323 43.1536i −0.197446 1.81548i
\(566\) −0.103272 0.469169i −0.00434084 0.0197206i
\(567\) 12.9219 + 5.66351i 0.542670 + 0.237845i
\(568\) 14.0017 + 14.7814i 0.587499 + 0.620215i
\(569\) −39.2439 18.1562i −1.64519 0.761146i −0.645194 0.764019i \(-0.723224\pi\)
−0.999996 + 0.00287274i \(0.999086\pi\)
\(570\) 0.705984 5.38534i 0.0295704 0.225567i
\(571\) 30.2389 + 25.6852i 1.26546 + 1.07489i 0.993647 + 0.112542i \(0.0358992\pi\)
0.271813 + 0.962350i \(0.412377\pi\)
\(572\) −3.27087 4.30276i −0.136762 0.179907i
\(573\) −3.39408 4.17892i −0.141790 0.174577i
\(574\) 6.01581 + 3.18938i 0.251095 + 0.133122i
\(575\) 0.492106 + 0.296091i 0.0205223 + 0.0123478i
\(576\) 6.59368 + 10.7117i 0.274737 + 0.446322i
\(577\) 6.26310 15.7192i 0.260736 0.654398i −0.739079 0.673619i \(-0.764739\pi\)
0.999815 + 0.0192204i \(0.00611841\pi\)
\(578\) −0.328548 + 6.05971i −0.0136658 + 0.252051i
\(579\) 13.3391 + 3.24566i 0.554353 + 0.134885i
\(580\) 14.6786 4.94579i 0.609495 0.205363i
\(581\) −6.04109 15.1620i −0.250627 0.629025i
\(582\) −0.0660357 0.763188i −0.00273727 0.0316351i
\(583\) −2.53766 + 0.416027i −0.105099 + 0.0172301i
\(584\) 0.731919 2.17226i 0.0302870 0.0898887i
\(585\) 17.4864 3.04888i 0.722972 0.126056i
\(586\) 1.22208 + 2.03111i 0.0504836 + 0.0839044i
\(587\) −5.99864 + 8.84733i −0.247590 + 0.365168i −0.931094 0.364778i \(-0.881145\pi\)
0.683504 + 0.729947i \(0.260455\pi\)
\(588\) −12.9275 6.33009i −0.533121 0.261049i
\(589\) 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 \(-0.153403\pi\)
−0.102591 + 0.994724i \(0.532713\pi\)
\(594\) 2.32005 + 0.153483i 0.0951927 + 0.00629748i
\(595\) 0.279607 + 5.15705i 0.0114628 + 0.211419i
\(596\) 31.2934 + 10.5440i 1.28183 + 0.431898i
\(597\) 15.3404 + 9.69634i 0.627840 + 0.396845i
\(598\) 1.52818 1.61328i 0.0624920 0.0659720i
\(599\) 9.78357 3.89813i 0.399746 0.159273i −0.161597 0.986857i \(-0.551664\pi\)
0.561342 + 0.827584i \(0.310285\pi\)
\(600\) 0.311280 0.733837i 0.0127080 0.0299588i
\(601\) 3.93239 2.08482i 0.160405 0.0850415i −0.386272 0.922385i \(-0.626237\pi\)
0.546677 + 0.837343i \(0.315892\pi\)
\(602\) −6.34200 0.343853i −0.258481 0.0140144i
\(603\) −6.27558 + 23.5241i −0.255561 + 0.957977i
\(604\) 3.87538 + 8.37649i 0.157687 + 0.340835i
\(605\) 10.9929 18.2703i 0.446925 0.742795i
\(606\) 1.52822 + 4.09557i 0.0620796 + 0.166371i
\(607\) −1.82527 + 11.1337i −0.0740856 + 0.451902i 0.923568 + 0.383435i \(0.125259\pi\)
−0.997653 + 0.0684670i \(0.978189\pi\)
\(608\) 12.2688 9.32650i 0.497566 0.378240i
\(609\) 10.4894 1.48329i 0.425052 0.0601058i
\(610\) −2.91557 4.30014i −0.118048 0.174108i
\(611\) −12.0312 + 26.0051i −0.486732 + 1.05205i
\(612\) −5.32980 + 6.40505i −0.215444 + 0.258909i
\(613\) 0.0210871 0.0277396i 0.000851700 0.00112039i −0.795667 0.605734i \(-0.792879\pi\)
0.796519 + 0.604614i \(0.206673\pi\)
\(614\) 11.6199 2.55772i 0.468939 0.103221i
\(615\) 22.8998 32.2237i 0.923409 1.29938i
\(616\) 2.67047 + 0.290431i 0.107596 + 0.0117018i
\(617\) 0.166856 0.758036i 0.00671739 0.0305174i −0.973143 0.230203i \(-0.926061\pi\)
0.979860 + 0.199686i \(0.0639920\pi\)
\(618\) −0.0555741 + 2.52343i −0.00223552 + 0.101507i
\(619\) 2.36667 8.52398i 0.0951246 0.342608i −0.900638 0.434570i \(-0.856900\pi\)
0.995762 + 0.0919626i \(0.0293140\pi\)
\(620\) −6.04206 + 21.7615i −0.242655 + 0.873965i
\(621\) −0.987400 10.2070i −0.0396230 0.409593i
\(622\) 1.37543 6.24866i 0.0551499 0.250548i
\(623\) 13.2902 + 1.44539i 0.532460 + 0.0579085i
\(624\) 11.5709 + 8.22291i 0.463208 + 0.329180i
\(625\) −22.9118 + 5.04326i −0.916471 + 0.201730i
\(626\) 6.51258 8.56715i 0.260295 0.342412i
\(627\) 0.211068 + 6.56371i 0.00842925 + 0.262129i
\(628\) −15.9783 + 34.5366i −0.637605 + 1.37816i
\(629\) 7.00448 + 10.3308i 0.279287 + 0.411918i
\(630\) −2.32967 + 3.51205i −0.0928163 + 0.139924i
\(631\) 2.58842 1.96766i 0.103043 0.0783314i −0.552384 0.833590i \(-0.686282\pi\)
0.655427 + 0.755258i \(0.272489\pi\)
\(632\) 0.962110 5.86861i 0.0382707 0.233441i
\(633\) −31.2072 + 11.6446i −1.24038 + 0.462833i
\(634\) −2.78011 + 4.62058i −0.110412 + 0.183507i
\(635\) −6.86950 14.8482i −0.272608 0.589232i
\(636\) 6.72015 3.37539i 0.266471 0.133843i
\(637\) −12.3675 0.670547i −0.490018 0.0265680i
\(638\) 1.54250 0.817782i 0.0610681 0.0323763i
\(639\) 34.8874 16.5716i 1.38012 0.655561i
\(640\) −21.2475 + 8.46577i −0.839880 + 0.334639i
\(641\) 1.04891 1.10732i 0.0414293 0.0437364i −0.704951 0.709256i \(-0.749031\pi\)
0.746381 + 0.665519i \(0.231790\pi\)
\(642\) 5.09300 8.05754i 0.201005 0.318006i
\(643\) −16.6768 5.61906i −0.657668 0.221594i −0.0293718 0.999569i \(-0.509351\pi\)
−0.628296 + 0.777975i \(0.716247\pi\)
\(644\) −0.306416 5.65151i −0.0120745 0.222701i
\(645\) −6.76542 + 36.2488i −0.266388 + 1.42729i
\(646\) 1.81590 + 1.23121i 0.0714455 + 0.0484412i
\(647\) 6.32878 1.75718i 0.248810 0.0690818i −0.140884 0.990026i \(-0.544995\pi\)
0.389694 + 0.920944i \(0.372581\pi\)
\(648\) −13.8355 + 3.34056i −0.543510 + 0.131229i
\(649\) −5.06095 + 6.60727i −0.198660 + 0.259358i
\(650\) 0.327678i 0.0128526i
\(651\) −6.79292 + 13.8727i −0.266236 + 0.543713i
\(652\) 17.1282 25.2622i 0.670793 0.989346i
\(653\) 11.5212 + 19.1483i 0.450858 + 0.749332i 0.996032 0.0889907i \(-0.0283641\pi\)
−0.545174 + 0.838323i \(0.683537\pi\)
\(654\) 6.86590 8.63068i 0.268478 0.337486i
\(655\) −4.29921 + 12.7596i −0.167984 + 0.498559i
\(656\) 31.1979 5.11464i 1.21807 0.199693i
\(657\) −3.48818 2.59634i −0.136087 0.101293i
\(658\) −2.51815 6.32008i −0.0981678 0.246382i
\(659\) −4.54713 + 1.53211i −0.177131 + 0.0596824i −0.406469 0.913664i \(-0.633240\pi\)
0.229339 + 0.973347i \(0.426344\pi\)
\(660\) 1.76148 7.23936i 0.0685654 0.281792i
\(661\) 0.399892 7.37557i 0.0155540 0.286877i −0.980400 0.197016i \(-0.936875\pi\)
0.995954 0.0898608i \(-0.0286422\pi\)
\(662\) −5.14731 + 12.9188i −0.200056 + 0.502102i
\(663\) −2.06980 + 6.86465i −0.0803843 + 0.266601i
\(664\) 14.1083 + 8.48871i 0.547510 + 0.329426i
\(665\) −10.5169 5.57568i −0.407826 0.216216i
\(666\) −0.448408 + 10.1754i −0.0173755 + 0.394290i
\(667\) −4.65982 6.12989i −0.180429 0.237350i
\(668\) 26.0413 + 22.1197i 1.00757 + 0.855836i
\(669\) −25.5392 3.34803i −0.987404 0.129443i
\(670\) −6.60065 3.05379i −0.255005 0.117978i
\(671\) 4.31991 + 4.56048i 0.166768 + 0.176055i
\(672\) −11.7325 + 2.31292i −0.452591 + 0.0892228i
\(673\) 5.96017 + 27.0773i 0.229748 + 1.04375i 0.940363 + 0.340174i \(0.110486\pi\)
−0.710615 + 0.703581i \(0.751583\pi\)
\(674\) 0.174366 + 1.60327i 0.00671633 + 0.0617556i
\(675\) −1.14077 0.992578i −0.0439084 0.0382044i
\(676\) −9.94430 2.18891i −0.382473 0.0841887i
\(677\) −24.7714 + 21.0410i −0.952041 + 0.808671i −0.981611 0.190892i \(-0.938862\pi\)
0.0295703 + 0.999563i \(0.490586\pi\)
\(678\) 7.76690 + 12.0167i 0.298286 + 0.461498i
\(679\) −1.61765 0.449139i −0.0620799 0.0172364i
\(680\) −3.37302 3.97102i −0.129349 0.152282i
\(681\) 0.180639 0.131144i 0.00692210 0.00502547i
\(682\) −0.275230 + 2.53069i −0.0105391 + 0.0969053i
\(683\) 23.4849 2.55414i 0.898625 0.0977314i 0.352866 0.935674i \(-0.385207\pi\)
0.545759 + 0.837942i \(0.316242\pi\)
\(684\) −6.31613 18.1366i −0.241503 0.693469i
\(685\) −25.3256 19.2520i −0.967641 0.735582i
\(686\) 5.42495 5.13879i 0.207126 0.196200i
\(687\) 7.07526 + 16.2209i 0.269938 + 0.618866i
\(688\) −24.4081 + 16.5491i −0.930550 + 0.630928i
\(689\) 4.18918 4.93188i 0.159595 0.187890i
\(690\) 3.05437 + 0.233148i 0.116278 + 0.00887581i
\(691\) −20.5893 3.37544i −0.783252 0.128408i −0.243129 0.969994i \(-0.578174\pi\)
−0.540123 + 0.841586i \(0.681622\pi\)
\(692\) −6.34775 + 11.9731i −0.241305 + 0.455150i
\(693\) 2.09270 4.64618i 0.0794950 0.176494i
\(694\) 3.28371 1.51921i 0.124648 0.0576683i
\(695\) 7.31006 + 2.91259i 0.277286 + 0.110481i
\(696\) −7.51867 + 7.59520i −0.284995 + 0.287895i
\(697\) 7.47967 + 14.1081i 0.283313 + 0.534384i
\(698\) 3.54323 + 10.5159i 0.134113 + 0.398034i
\(699\) −33.9406 12.2745i −1.28375 0.464264i
\(700\) −0.605908 0.573947i −0.0229012 0.0216932i
\(701\) 8.52790 + 52.0179i 0.322094 + 1.96469i 0.254999 + 0.966941i \(0.417925\pi\)
0.0670953 + 0.997747i \(0.478627\pi\)
\(702\) −4.69960 + 3.48513i −0.177375 + 0.131538i
\(703\) −28.7254 + 1.55744i −1.08340 + 0.0587401i
\(704\) 3.89277 2.34220i 0.146714 0.0882750i
\(705\) −38.2824 + 9.72649i −1.44180 + 0.366321i
\(706\) −1.62365 5.84785i −0.0611068 0.220087i
\(707\) 9.58034 0.360306
\(708\) 8.36119 22.8581i 0.314233 0.859060i
\(709\) 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
\(711\) −10.0202 5.18306i −0.375786 0.194380i
\(712\) −11.5560 + 6.95303i −0.433080 + 0.260576i
\(713\) 11.2107 0.607826i 0.419843 0.0227632i
\(714\) −0.845336 1.47766i −0.0316359 0.0553001i
\(715\) −1.03718 6.32654i −0.0387885 0.236599i
\(716\) −0.837036 0.792883i −0.0312815 0.0296314i
\(717\) 4.43403 12.2607i 0.165592 0.457884i
\(718\) −3.68426 10.9345i −0.137495 0.408072i
\(719\) 13.7868 + 26.0047i 0.514161 + 0.969811i 0.995633 + 0.0933495i \(0.0297574\pi\)
−0.481472 + 0.876461i \(0.659898\pi\)
\(720\) 1.25719 + 19.5276i 0.0468528 + 0.727752i
\(721\) 5.13881 + 2.04749i 0.191379 + 0.0762525i
\(722\) 2.53200 1.17143i 0.0942312 0.0435960i
\(723\) 7.12484 2.22720i 0.264976 0.0828305i
\(724\) 2.99264 5.64471i 0.111220 0.209784i
\(725\) −1.12047 0.183692i −0.0416133 0.00682216i
\(726\) −0.534938 + 7.00798i −0.0198534 + 0.260090i
\(727\) −21.2601 + 25.0293i −0.788493 + 0.928286i −0.998781 0.0493533i \(-0.984284\pi\)
0.210288 + 0.977639i \(0.432560\pi\)
\(728\) −5.59476 + 3.79334i −0.207355 + 0.140591i
\(729\) −2.10258 + 26.9180i −0.0778735 + 0.996963i
\(730\) 0.943024 0.893280i 0.0349029 0.0330618i
\(731\) −11.8578 9.01404i −0.438575 0.333396i
\(732\) −16.0369 8.96005i −0.592742 0.331173i
\(733\) −33.8445 + 3.68081i −1.25007 + 0.135954i −0.709114 0.705094i \(-0.750905\pi\)
−0.540961 + 0.841048i \(0.681939\pi\)
\(734\) −0.316676 + 2.91179i −0.0116887 + 0.107476i
\(735\) −10.0308 13.8164i −0.369990 0.509626i
\(736\) 5.62694 + 6.62454i 0.207412 + 0.244184i
\(737\) 8.47304 + 2.35253i 0.312108 + 0.0866565i
\(738\) −1.97779 + 12.8796i −0.0728036 + 0.474104i
\(739\) −2.05956 + 1.74941i −0.0757622 + 0.0643530i −0.684467 0.729044i \(-0.739965\pi\)
0.608705 + 0.793397i \(0.291689\pi\)
\(740\) 31.8746 + 7.01613i 1.17173 + 0.257918i
\(741\) −11.0975 12.2446i −0.407676 0.449815i
\(742\) 0.166115 + 1.52740i 0.00609828 + 0.0560728i
\(743\) −10.0133 45.4907i −0.367351 1.66889i −0.691108 0.722751i \(-0.742877\pi\)
0.323758 0.946140i \(-0.395054\pi\)
\(744\) −3.01396 15.2886i −0.110497 0.560507i
\(745\) 26.9367 + 28.4367i 0.986883 + 1.04184i
\(746\) 8.44834 + 3.90862i 0.309316 + 0.143105i
\(747\) 23.5997 20.4607i 0.863466 0.748618i
\(748\) 2.29376 + 1.94834i 0.0838682 + 0.0712383i
\(749\) −12.6425 16.6309i −0.461947 0.607681i
\(750\) 6.37490 5.17764i 0.232779 0.189061i
\(751\) 35.3849 + 18.7599i 1.29121 + 0.684558i 0.965375 0.260867i \(-0.0840085\pi\)
0.325839 + 0.945425i \(0.394353\pi\)
\(752\) −27.0663 16.2853i −0.987008 0.593863i
\(753\) −39.7220 11.9768i −1.44755 0.436458i
\(754\) −1.62611 + 4.08123i −0.0592195 + 0.148630i
\(755\) −0.592695 + 10.9316i −0.0215704 + 0.397842i
\(756\) −1.78727 + 14.7944i −0.0650023 + 0.538068i
\(757\) 2.47658 0.834457i 0.0900128 0.0303289i −0.273935 0.961748i \(-0.588325\pi\)
0.363948 + 0.931419i \(0.381429\pi\)
\(758\) 3.89821 + 9.78377i 0.141589 + 0.355363i
\(759\) −3.68998 + 0.319280i −0.133938 + 0.0115891i
\(760\) 11.8503 1.94276i 0.429856 0.0704714i
\(761\) 15.8667 47.0908i 0.575168 1.70704i −0.124182 0.992259i \(-0.539631\pi\)
0.699350 0.714779i \(-0.253473\pi\)
\(762\) 4.22020 + 3.35726i 0.152882 + 0.121621i
\(763\) −12.4610 20.7104i −0.451119 0.749766i
\(764\) 3.19111 4.70653i 0.115450 0.170276i
\(765\) −9.14422 + 3.75113i −0.330610 + 0.135622i
\(766\) 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 0.0218029 0.999762i \(-0.493059\pi\)
0.534113 + 0.845413i \(0.320646\pi\)
\(770\) 1.25990 + 0.854230i 0.0454035 + 0.0307843i
\(771\) 36.4257 + 6.79845i 1.31184 + 0.244840i
\(772\) 0.785031 + 14.4790i 0.0282539 + 0.521112i
\(773\) 22.3545