Properties

Label 588.2.ba.a.187.16
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.16
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.a.283.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.317209 + 1.37818i) q^{2} +(0.988831 + 0.149042i) q^{3} +(-1.79876 + 0.874341i) q^{4} +(3.55694 - 1.39600i) q^{5} +(0.108259 + 1.41006i) q^{6} +(-0.339306 - 2.62390i) q^{7} +(-1.77558 - 2.20166i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(0.317209 + 1.37818i) q^{2} +(0.988831 + 0.149042i) q^{3} +(-1.79876 + 0.874341i) q^{4} +(3.55694 - 1.39600i) q^{5} +(0.108259 + 1.41006i) q^{6} +(-0.339306 - 2.62390i) q^{7} +(-1.77558 - 2.20166i) q^{8} +(0.955573 + 0.294755i) q^{9} +(3.05223 + 4.45929i) q^{10} +(1.15615 + 3.74814i) q^{11} +(-1.90898 + 0.596484i) q^{12} +(-1.58868 - 0.362606i) q^{13} +(3.50858 - 1.29995i) q^{14} +(3.72528 - 0.850271i) q^{15} +(2.47106 - 3.14545i) q^{16} +(-1.04348 + 1.53051i) q^{17} +(-0.103110 + 1.41045i) q^{18} +(3.08266 - 5.33932i) q^{19} +(-5.17750 + 5.62104i) q^{20} +(0.0555561 - 2.64517i) q^{21} +(-4.79888 + 2.78232i) q^{22} +(3.78511 + 5.55173i) q^{23} +(-1.42761 - 2.44171i) q^{24} +(7.03779 - 6.53011i) q^{25} +(-0.00420688 - 2.30451i) q^{26} +(0.900969 + 0.433884i) q^{27} +(2.90452 + 4.42310i) q^{28} +(4.41883 - 2.12800i) q^{29} +(2.35352 + 4.86439i) q^{30} +(-0.0510275 - 0.0883823i) q^{31} +(5.11884 + 2.40780i) q^{32} +(0.584604 + 3.87860i) q^{33} +(-2.44031 - 0.952615i) q^{34} +(-4.86986 - 8.85941i) q^{35} +(-1.97656 + 0.305303i) q^{36} +(-0.846858 + 11.3005i) q^{37} +(8.33639 + 2.55478i) q^{38} +(-1.51689 - 0.595337i) q^{39} +(-9.38915 - 5.35249i) q^{40} +(-9.06047 - 7.22548i) q^{41} +(3.66314 - 0.762504i) q^{42} +(-9.59021 + 7.64793i) q^{43} +(-5.35679 - 5.73113i) q^{44} +(3.81040 - 0.285550i) q^{45} +(-6.45062 + 6.97762i) q^{46} +(-5.13225 - 4.76203i) q^{47} +(2.91226 - 2.74203i) q^{48} +(-6.76974 + 1.78061i) q^{49} +(11.2321 + 7.62793i) q^{50} +(-1.25994 + 1.35789i) q^{51} +(3.17469 - 0.736808i) q^{52} +(0.106660 + 1.42328i) q^{53} +(-0.312175 + 1.37933i) q^{54} +(9.34476 + 11.7180i) q^{55} +(-5.17449 + 5.40599i) q^{56} +(3.84401 - 4.82024i) q^{57} +(4.33445 + 5.41492i) q^{58} +(-0.218318 + 0.556265i) q^{59} +(-5.95745 + 4.78659i) q^{60} +(-7.99648 - 0.599253i) q^{61} +(0.105620 - 0.0983607i) q^{62} +(0.449177 - 2.60734i) q^{63} +(-1.69464 + 7.81845i) q^{64} +(-6.15705 + 0.928026i) q^{65} +(-5.15996 + 2.03601i) q^{66} +(2.51542 - 1.45228i) q^{67} +(0.538786 - 3.66537i) q^{68} +(2.91539 + 6.05387i) q^{69} +(10.6651 - 9.52182i) q^{70} +(3.02361 - 6.27858i) q^{71} +(-1.04774 - 2.62721i) q^{72} +(-9.56449 - 10.3081i) q^{73} +(-15.8428 + 2.41750i) q^{74} +(7.93244 - 5.40825i) q^{75} +(-0.876571 + 12.2994i) q^{76} +(9.44248 - 4.30539i) q^{77} +(0.339309 - 2.27940i) q^{78} +(4.81768 + 2.78149i) q^{79} +(4.39837 - 14.6378i) q^{80} +(0.826239 + 0.563320i) q^{81} +(7.08396 - 14.7789i) q^{82} +(0.767481 + 3.36256i) q^{83} +(2.21285 + 4.80659i) q^{84} +(-1.57502 + 6.90062i) q^{85} +(-13.5823 - 10.7910i) q^{86} +(4.68663 - 1.44564i) q^{87} +(6.19931 - 9.20058i) q^{88} +(-1.87081 + 6.06502i) q^{89} +(1.60223 + 5.16083i) q^{90} +(-0.412394 + 4.29158i) q^{91} +(-11.6626 - 6.67675i) q^{92} +(-0.0372849 - 0.0950004i) q^{93} +(4.93494 - 8.58372i) q^{94} +(3.51117 - 23.2951i) q^{95} +(4.70280 + 3.14383i) q^{96} +1.63133i q^{97} +(-4.60143 - 8.76509i) q^{98} +3.92241i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.317209 + 1.37818i 0.224300 + 0.974520i
\(3\) 0.988831 + 0.149042i 0.570902 + 0.0860496i
\(4\) −1.79876 + 0.874341i −0.899379 + 0.437170i
\(5\) 3.55694 1.39600i 1.59071 0.624309i 0.605532 0.795821i \(-0.292960\pi\)
0.985182 + 0.171512i \(0.0548651\pi\)
\(6\) 0.108259 + 1.41006i 0.0441964 + 0.575656i
\(7\) −0.339306 2.62390i −0.128246 0.991742i
\(8\) −1.77558 2.20166i −0.627762 0.778405i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 3.05223 + 4.45929i 0.965200 + 1.41015i
\(11\) 1.15615 + 3.74814i 0.348592 + 1.13011i 0.944902 + 0.327354i \(0.106157\pi\)
−0.596310 + 0.802754i \(0.703367\pi\)
\(12\) −1.90898 + 0.596484i −0.551075 + 0.172190i
\(13\) −1.58868 0.362606i −0.440621 0.100569i −0.00354549 0.999994i \(-0.501129\pi\)
−0.437075 + 0.899425i \(0.643986\pi\)
\(14\) 3.50858 1.29995i 0.937707 0.347426i
\(15\) 3.72528 0.850271i 0.961863 0.219539i
\(16\) 2.47106 3.14545i 0.617764 0.786363i
\(17\) −1.04348 + 1.53051i −0.253081 + 0.371202i −0.931663 0.363322i \(-0.881642\pi\)
0.678582 + 0.734524i \(0.262595\pi\)
\(18\) −0.103110 + 1.41045i −0.0243032 + 0.332446i
\(19\) 3.08266 5.33932i 0.707211 1.22493i −0.258677 0.965964i \(-0.583287\pi\)
0.965888 0.258961i \(-0.0833802\pi\)
\(20\) −5.17750 + 5.62104i −1.15773 + 1.25690i
\(21\) 0.0555561 2.64517i 0.0121233 0.577223i
\(22\) −4.79888 + 2.78232i −1.02312 + 0.593194i
\(23\) 3.78511 + 5.55173i 0.789250 + 1.15762i 0.984245 + 0.176812i \(0.0565786\pi\)
−0.194995 + 0.980804i \(0.562469\pi\)
\(24\) −1.42761 2.44171i −0.291409 0.498412i
\(25\) 7.03779 6.53011i 1.40756 1.30602i
\(26\) −0.00420688 2.30451i −0.000825036 0.451952i
\(27\) 0.900969 + 0.433884i 0.173392 + 0.0835010i
\(28\) 2.90452 + 4.42310i 0.548902 + 0.835887i
\(29\) 4.41883 2.12800i 0.820556 0.395159i 0.0239910 0.999712i \(-0.492363\pi\)
0.796565 + 0.604553i \(0.206648\pi\)
\(30\) 2.35352 + 4.86439i 0.429691 + 0.888112i
\(31\) −0.0510275 0.0883823i −0.00916482 0.0158739i 0.861407 0.507916i \(-0.169584\pi\)
−0.870571 + 0.492042i \(0.836251\pi\)
\(32\) 5.11884 + 2.40780i 0.904892 + 0.425642i
\(33\) 0.584604 + 3.87860i 0.101767 + 0.675177i
\(34\) −2.44031 0.952615i −0.418510 0.163372i
\(35\) −4.86986 8.85941i −0.823156 1.49751i
\(36\) −1.97656 + 0.305303i −0.329427 + 0.0508838i
\(37\) −0.846858 + 11.3005i −0.139223 + 1.85780i 0.293106 + 0.956080i \(0.405311\pi\)
−0.432329 + 0.901716i \(0.642308\pi\)
\(38\) 8.33639 + 2.55478i 1.35234 + 0.414440i
\(39\) −1.51689 0.595337i −0.242897 0.0953302i
\(40\) −9.38915 5.35249i −1.48456 0.846302i
\(41\) −9.06047 7.22548i −1.41501 1.12843i −0.972835 0.231502i \(-0.925636\pi\)
−0.442173 0.896930i \(-0.645792\pi\)
\(42\) 3.66314 0.762504i 0.565235 0.117657i
\(43\) −9.59021 + 7.64793i −1.46249 + 1.16630i −0.510620 + 0.859807i \(0.670584\pi\)
−0.951873 + 0.306492i \(0.900845\pi\)
\(44\) −5.35679 5.73113i −0.807566 0.864001i
\(45\) 3.81040 0.285550i 0.568021 0.0425673i
\(46\) −6.45062 + 6.97762i −0.951092 + 1.02879i
\(47\) −5.13225 4.76203i −0.748616 0.694614i 0.210511 0.977592i \(-0.432487\pi\)
−0.959126 + 0.282978i \(0.908678\pi\)
\(48\) 2.91226 2.74203i 0.420349 0.395778i
\(49\) −6.76974 + 1.78061i −0.967106 + 0.254373i
\(50\) 11.2321 + 7.62793i 1.58846 + 1.07875i
\(51\) −1.25994 + 1.35789i −0.176426 + 0.190142i
\(52\) 3.17469 0.736808i 0.440251 0.102177i
\(53\) 0.106660 + 1.42328i 0.0146509 + 0.195503i 0.999727 + 0.0233812i \(0.00744314\pi\)
−0.985076 + 0.172122i \(0.944938\pi\)
\(54\) −0.312175 + 1.37933i −0.0424816 + 0.187703i
\(55\) 9.34476 + 11.7180i 1.26005 + 1.58005i
\(56\) −5.17449 + 5.40599i −0.691470 + 0.722405i
\(57\) 3.84401 4.82024i 0.509152 0.638457i
\(58\) 4.33445 + 5.41492i 0.569141 + 0.711014i
\(59\) −0.218318 + 0.556265i −0.0284226 + 0.0724195i −0.944381 0.328855i \(-0.893337\pi\)
0.915958 + 0.401274i \(0.131433\pi\)
\(60\) −5.95745 + 4.78659i −0.769103 + 0.617947i
\(61\) −7.99648 0.599253i −1.02384 0.0767265i −0.447790 0.894139i \(-0.647789\pi\)
−0.576053 + 0.817412i \(0.695408\pi\)
\(62\) 0.105620 0.0983607i 0.0134138 0.0124918i
\(63\) 0.449177 2.60734i 0.0565910 0.328494i
\(64\) −1.69464 + 7.81845i −0.211829 + 0.977307i
\(65\) −6.15705 + 0.928026i −0.763688 + 0.115107i
\(66\) −5.15996 + 2.03601i −0.635147 + 0.250616i
\(67\) 2.51542 1.45228i 0.307308 0.177424i −0.338413 0.940998i \(-0.609890\pi\)
0.645721 + 0.763573i \(0.276557\pi\)
\(68\) 0.538786 3.66537i 0.0653374 0.444491i
\(69\) 2.91539 + 6.05387i 0.350972 + 0.728800i
\(70\) 10.6651 9.52182i 1.27472 1.13808i
\(71\) 3.02361 6.27858i 0.358836 0.745130i −0.640911 0.767615i \(-0.721443\pi\)
0.999747 + 0.0224845i \(0.00715765\pi\)
\(72\) −1.04774 2.62721i −0.123478 0.309620i
\(73\) −9.56449 10.3081i −1.11944 1.20647i −0.976221 0.216776i \(-0.930446\pi\)
−0.143217 0.989691i \(-0.545745\pi\)
\(74\) −15.8428 + 2.41750i −1.84169 + 0.281029i
\(75\) 7.93244 5.40825i 0.915960 0.624491i
\(76\) −0.876571 + 12.2994i −0.100550 + 1.41084i
\(77\) 9.44248 4.30539i 1.07607 0.490645i
\(78\) 0.339309 2.27940i 0.0384192 0.258091i
\(79\) 4.81768 + 2.78149i 0.542032 + 0.312942i 0.745902 0.666056i \(-0.232019\pi\)
−0.203870 + 0.978998i \(0.565352\pi\)
\(80\) 4.39837 14.6378i 0.491752 1.63656i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) 7.08396 14.7789i 0.782292 1.63206i
\(83\) 0.767481 + 3.36256i 0.0842420 + 0.369088i 0.999423 0.0339538i \(-0.0108099\pi\)
−0.915181 + 0.403042i \(0.867953\pi\)
\(84\) 2.21285 + 4.80659i 0.241441 + 0.524442i
\(85\) −1.57502 + 6.90062i −0.170835 + 0.748477i
\(86\) −13.5823 10.7910i −1.46462 1.16363i
\(87\) 4.68663 1.44564i 0.502460 0.154988i
\(88\) 6.19931 9.20058i 0.660849 0.980785i
\(89\) −1.87081 + 6.06502i −0.198306 + 0.642891i 0.800732 + 0.599023i \(0.204444\pi\)
−0.999037 + 0.0438680i \(0.986032\pi\)
\(90\) 1.60223 + 5.16083i 0.168890 + 0.544000i
\(91\) −0.412394 + 4.29158i −0.0432306 + 0.449880i
\(92\) −11.6626 6.67675i −1.21591 0.696099i
\(93\) −0.0372849 0.0950004i −0.00386627 0.00985108i
\(94\) 4.93494 8.58372i 0.509000 0.885343i
\(95\) 3.51117 23.2951i 0.360238 2.39002i
\(96\) 4.70280 + 3.14383i 0.479978 + 0.320865i
\(97\) 1.63133i 0.165636i 0.996565 + 0.0828182i \(0.0263921\pi\)
−0.996565 + 0.0828182i \(0.973608\pi\)
\(98\) −4.60143 8.76509i −0.464814 0.885408i
\(99\) 3.92241i 0.394217i
\(100\) −6.94973 + 17.8995i −0.694973 + 1.78995i
\(101\) −0.271646 + 1.80225i −0.0270297 + 0.179331i −0.998272 0.0587629i \(-0.981284\pi\)
0.971242 + 0.238094i \(0.0765225\pi\)
\(102\) −2.27108 1.30568i −0.224870 0.129282i
\(103\) −0.217030 0.552984i −0.0213846 0.0544871i 0.919783 0.392428i \(-0.128365\pi\)
−0.941167 + 0.337941i \(0.890270\pi\)
\(104\) 2.02249 + 4.14158i 0.198322 + 0.406115i
\(105\) −3.49504 9.48627i −0.341081 0.925765i
\(106\) −1.92770 + 0.598474i −0.187235 + 0.0581289i
\(107\) 1.34830 4.37109i 0.130345 0.422569i −0.866749 0.498745i \(-0.833795\pi\)
0.997094 + 0.0761751i \(0.0242708\pi\)
\(108\) −1.99999 + 0.00730197i −0.192449 + 0.000702632i
\(109\) −9.79038 + 3.01993i −0.937749 + 0.289257i −0.725707 0.688004i \(-0.758487\pi\)
−0.212041 + 0.977261i \(0.568011\pi\)
\(110\) −13.1852 + 16.5958i −1.25716 + 1.58235i
\(111\) −2.52166 + 11.0481i −0.239345 + 1.04864i
\(112\) −9.09181 5.41654i −0.859095 0.511815i
\(113\) −1.11487 4.88454i −0.104878 0.459499i −0.999909 0.0134958i \(-0.995704\pi\)
0.895031 0.446004i \(-0.147153\pi\)
\(114\) 7.86251 + 3.76872i 0.736392 + 0.352973i
\(115\) 21.2136 + 14.4632i 1.97818 + 1.34870i
\(116\) −6.08781 + 7.69131i −0.565239 + 0.714120i
\(117\) −1.41122 0.814769i −0.130467 0.0753254i
\(118\) −0.835885 0.124429i −0.0769494 0.0114546i
\(119\) 4.36996 + 2.21868i 0.400593 + 0.203386i
\(120\) −8.48654 6.69208i −0.774711 0.610901i
\(121\) −3.62328 + 2.47031i −0.329389 + 0.224574i
\(122\) −1.71067 11.2107i −0.154877 1.01497i
\(123\) −7.88237 8.49518i −0.710729 0.765984i
\(124\) 0.169062 + 0.114363i 0.0151823 + 0.0102701i
\(125\) 7.62747 15.8386i 0.682222 1.41665i
\(126\) 3.73587 0.208024i 0.332818 0.0185323i
\(127\) 4.48504 + 9.31327i 0.397983 + 0.826419i 0.999618 + 0.0276483i \(0.00880186\pi\)
−0.601635 + 0.798771i \(0.705484\pi\)
\(128\) −11.3128 + 0.144568i −0.999918 + 0.0127781i
\(129\) −10.6230 + 6.13317i −0.935299 + 0.539995i
\(130\) −3.23205 8.19114i −0.283470 0.718411i
\(131\) −5.21912 + 0.786655i −0.455996 + 0.0687304i −0.373024 0.927822i \(-0.621679\pi\)
−0.0829718 + 0.996552i \(0.526441\pi\)
\(132\) −4.44277 6.46551i −0.386694 0.562750i
\(133\) −15.0558 6.27694i −1.30551 0.544280i
\(134\) 2.79942 + 3.00603i 0.241833 + 0.259681i
\(135\) 3.81040 + 0.285550i 0.327947 + 0.0245762i
\(136\) 5.22244 0.420141i 0.447820 0.0360268i
\(137\) 3.84794 9.80439i 0.328752 0.837646i −0.666956 0.745097i \(-0.732403\pi\)
0.995708 0.0925489i \(-0.0295015\pi\)
\(138\) −7.41853 + 5.93827i −0.631507 + 0.505499i
\(139\) 5.19397 6.51303i 0.440547 0.552428i −0.511140 0.859497i \(-0.670777\pi\)
0.951687 + 0.307069i \(0.0993482\pi\)
\(140\) 16.5058 + 11.6780i 1.39500 + 0.986973i
\(141\) −4.36518 5.47377i −0.367615 0.460974i
\(142\) 9.61212 + 2.17545i 0.806632 + 0.182560i
\(143\) −0.477653 6.37383i −0.0399433 0.533007i
\(144\) 3.28841 2.27735i 0.274034 0.189779i
\(145\) 12.7468 13.7378i 1.05857 1.14087i
\(146\) 11.1724 16.4514i 0.924637 1.36153i
\(147\) −6.95952 + 0.751748i −0.574011 + 0.0620031i
\(148\) −8.35722 21.0674i −0.686959 1.73173i
\(149\) −5.26375 4.88404i −0.431223 0.400116i 0.434474 0.900684i \(-0.356934\pi\)
−0.865697 + 0.500568i \(0.833125\pi\)
\(150\) 9.96978 + 9.21679i 0.814029 + 0.752548i
\(151\) −11.2717 + 0.844700i −0.917281 + 0.0687407i −0.524998 0.851104i \(-0.675934\pi\)
−0.392284 + 0.919844i \(0.628315\pi\)
\(152\) −17.2289 + 2.69342i −1.39745 + 0.218465i
\(153\) −1.44825 + 1.15494i −0.117084 + 0.0933712i
\(154\) 8.92884 + 11.6477i 0.719507 + 0.938601i
\(155\) −0.304884 0.243137i −0.0244888 0.0195292i
\(156\) 3.24905 0.255415i 0.260132 0.0204496i
\(157\) 19.3562 + 7.59676i 1.54479 + 0.606287i 0.976304 0.216403i \(-0.0694324\pi\)
0.568490 + 0.822690i \(0.307528\pi\)
\(158\) −2.30518 + 7.52194i −0.183390 + 0.598414i
\(159\) −0.106660 + 1.42328i −0.00845871 + 0.112874i
\(160\) 21.5687 + 1.41851i 1.70516 + 0.112143i
\(161\) 13.2829 11.8155i 1.04684 0.931192i
\(162\) −0.514266 + 1.31740i −0.0404046 + 0.103504i
\(163\) 0.565435 + 3.75142i 0.0442883 + 0.293834i 1.00000 0.000471130i \(-0.000149965\pi\)
−0.955712 + 0.294305i \(0.904912\pi\)
\(164\) 22.6151 + 5.07496i 1.76594 + 0.396288i
\(165\) 7.49392 + 12.9798i 0.583401 + 1.01048i
\(166\) −4.39075 + 2.12436i −0.340789 + 0.164882i
\(167\) 5.13389 2.47235i 0.397273 0.191316i −0.224571 0.974458i \(-0.572098\pi\)
0.621844 + 0.783141i \(0.286384\pi\)
\(168\) −5.92241 + 4.57439i −0.456924 + 0.352922i
\(169\) −9.32017 4.48836i −0.716936 0.345258i
\(170\) −10.0099 + 0.0182731i −0.767724 + 0.00140148i
\(171\) 4.51950 4.19348i 0.345615 0.320684i
\(172\) 10.5636 22.1419i 0.805464 1.68830i
\(173\) 7.49417 + 10.9919i 0.569771 + 0.835701i 0.997677 0.0681225i \(-0.0217009\pi\)
−0.427906 + 0.903823i \(0.640748\pi\)
\(174\) 3.47898 + 6.00045i 0.263741 + 0.454893i
\(175\) −19.5224 16.2508i −1.47575 1.22844i
\(176\) 14.6465 + 5.62527i 1.10402 + 0.424020i
\(177\) −0.298786 + 0.517513i −0.0224582 + 0.0388987i
\(178\) −8.95213 0.654438i −0.670990 0.0490522i
\(179\) 1.04613 1.53439i 0.0781914 0.114686i −0.785151 0.619305i \(-0.787415\pi\)
0.863342 + 0.504619i \(0.168367\pi\)
\(180\) −6.60431 + 3.84522i −0.492256 + 0.286606i
\(181\) −11.8515 + 2.70502i −0.880913 + 0.201063i −0.638974 0.769229i \(-0.720641\pi\)
−0.241940 + 0.970291i \(0.577784\pi\)
\(182\) −6.04538 + 0.792973i −0.448114 + 0.0587791i
\(183\) −7.81785 1.78437i −0.577912 0.131905i
\(184\) 5.50228 18.1911i 0.405634 1.34106i
\(185\) 12.7633 + 41.3776i 0.938376 + 3.04214i
\(186\) 0.119101 0.0815202i 0.00873287 0.00597735i
\(187\) −6.94297 2.14162i −0.507721 0.156611i
\(188\) 13.3953 + 4.07841i 0.976954 + 0.297448i
\(189\) 0.832765 2.51128i 0.0605747 0.182668i
\(190\) 33.2186 2.55038i 2.40993 0.185024i
\(191\) −19.3897 + 7.60989i −1.40299 + 0.550632i −0.941650 0.336593i \(-0.890725\pi\)
−0.461337 + 0.887225i \(0.652630\pi\)
\(192\) −2.84099 + 7.47856i −0.205031 + 0.539718i
\(193\) 26.0086 + 3.92016i 1.87214 + 0.282179i 0.984103 0.177599i \(-0.0568330\pi\)
0.888034 + 0.459778i \(0.152071\pi\)
\(194\) −2.24827 + 0.517472i −0.161416 + 0.0371523i
\(195\) −6.22659 −0.445896
\(196\) 10.6203 9.12195i 0.758590 0.651568i
\(197\) 1.71045 0.121864 0.0609322 0.998142i \(-0.480593\pi\)
0.0609322 + 0.998142i \(0.480593\pi\)
\(198\) −5.40578 + 1.24422i −0.384172 + 0.0884229i
\(199\) 12.8381 + 1.93503i 0.910066 + 0.137170i 0.587357 0.809328i \(-0.300168\pi\)
0.322709 + 0.946498i \(0.395407\pi\)
\(200\) −26.8733 3.90010i −1.90023 0.275779i
\(201\) 2.70378 1.06116i 0.190710 0.0748481i
\(202\) −2.56999 + 0.197313i −0.180824 + 0.0138829i
\(203\) −7.08299 10.8725i −0.497128 0.763102i
\(204\) 1.07906 3.54412i 0.0755495 0.248138i
\(205\) −42.3144 13.0523i −2.95536 0.911609i
\(206\) 0.693267 0.474518i 0.0483022 0.0330612i
\(207\) 1.98054 + 6.42077i 0.137657 + 0.446274i
\(208\) −5.06628 + 4.10110i −0.351283 + 0.284360i
\(209\) 23.5766 + 5.38120i 1.63083 + 0.372225i
\(210\) 11.9651 7.82592i 0.825672 0.540040i
\(211\) −2.21653 + 0.505909i −0.152592 + 0.0348282i −0.298135 0.954524i \(-0.596364\pi\)
0.145542 + 0.989352i \(0.453507\pi\)
\(212\) −1.43629 2.46688i −0.0986447 0.169426i
\(213\) 3.92561 5.75781i 0.268978 0.394519i
\(214\) 6.45184 + 0.471656i 0.441039 + 0.0322418i
\(215\) −23.4353 + 40.5912i −1.59828 + 2.76830i
\(216\) −0.644476 2.75402i −0.0438511 0.187388i
\(217\) −0.214593 + 0.163880i −0.0145675 + 0.0111249i
\(218\) −7.26760 12.5350i −0.492224 0.848974i
\(219\) −7.92132 11.6184i −0.535273 0.785102i
\(220\) −27.0544 12.9073i −1.82401 0.870208i
\(221\) 2.21273 2.05311i 0.148844 0.138107i
\(222\) −16.0261 + 0.0292557i −1.07560 + 0.00196351i
\(223\) −5.50869 2.65284i −0.368889 0.177648i 0.240250 0.970711i \(-0.422771\pi\)
−0.609139 + 0.793063i \(0.708485\pi\)
\(224\) 4.58097 14.2483i 0.306079 0.952006i
\(225\) 8.64990 4.16557i 0.576660 0.277705i
\(226\) 6.37813 3.08590i 0.424267 0.205271i
\(227\) −4.82908 8.36421i −0.320517 0.555152i 0.660078 0.751197i \(-0.270523\pi\)
−0.980595 + 0.196045i \(0.937190\pi\)
\(228\) −2.69992 + 12.0314i −0.178806 + 0.796801i
\(229\) −0.404978 2.68685i −0.0267617 0.177552i 0.971457 0.237216i \(-0.0762351\pi\)
−0.998218 + 0.0596643i \(0.980997\pi\)
\(230\) −13.2038 + 33.8240i −0.870630 + 2.23029i
\(231\) 9.97870 2.84998i 0.656550 0.187515i
\(232\) −12.5311 5.95034i −0.822707 0.390659i
\(233\) −0.742278 + 9.90501i −0.0486282 + 0.648899i 0.918632 + 0.395113i \(0.129295\pi\)
−0.967261 + 0.253785i \(0.918324\pi\)
\(234\) 0.675246 2.20337i 0.0441422 0.144039i
\(235\) −24.9029 9.77368i −1.62449 0.637564i
\(236\) −0.0936640 1.19147i −0.00609700 0.0775580i
\(237\) 4.34931 + 3.46846i 0.282518 + 0.225301i
\(238\) −1.67156 + 6.72637i −0.108351 + 0.436006i
\(239\) −7.03314 + 5.60874i −0.454936 + 0.362799i −0.823986 0.566610i \(-0.808255\pi\)
0.369050 + 0.929410i \(0.379683\pi\)
\(240\) 6.53089 13.8188i 0.421567 0.891997i
\(241\) −17.7244 + 1.32826i −1.14173 + 0.0855609i −0.632139 0.774855i \(-0.717823\pi\)
−0.509592 + 0.860416i \(0.670204\pi\)
\(242\) −4.55387 4.20993i −0.292734 0.270624i
\(243\) 0.733052 + 0.680173i 0.0470253 + 0.0436331i
\(244\) 14.9077 5.91373i 0.954366 0.378588i
\(245\) −21.5939 + 15.7841i −1.37958 + 1.00841i
\(246\) 9.20752 13.5581i 0.587050 0.864431i
\(247\) −6.83344 + 7.36469i −0.434801 + 0.468604i
\(248\) −0.103985 + 0.269275i −0.00660303 + 0.0170990i
\(249\) 0.257746 + 3.43939i 0.0163340 + 0.217962i
\(250\) 24.2479 + 5.48788i 1.53357 + 0.347084i
\(251\) −15.3687 19.2718i −0.970065 1.21642i −0.976295 0.216442i \(-0.930555\pi\)
0.00623059 0.999981i \(-0.498017\pi\)
\(252\) 1.47174 + 5.08271i 0.0927112 + 0.320181i
\(253\) −16.4326 + 20.6058i −1.03311 + 1.29547i
\(254\) −11.4127 + 9.13543i −0.716095 + 0.573208i
\(255\) −2.58591 + 6.58880i −0.161936 + 0.412607i
\(256\) −3.78775 15.5452i −0.236735 0.971574i
\(257\) 8.12965 + 0.609233i 0.507114 + 0.0380029i 0.325831 0.945428i \(-0.394356\pi\)
0.181283 + 0.983431i \(0.441975\pi\)
\(258\) −11.8223 12.6948i −0.736024 0.790347i
\(259\) 29.9388 1.61227i 1.86031 0.100181i
\(260\) 10.2636 7.05265i 0.636523 0.437387i
\(261\) 4.84975 0.730982i 0.300192 0.0452467i
\(262\) −2.73970 6.94334i −0.169259 0.428961i
\(263\) 12.4791 7.20482i 0.769495 0.444268i −0.0631992 0.998001i \(-0.520130\pi\)
0.832695 + 0.553733i \(0.186797\pi\)
\(264\) 7.50135 8.17386i 0.461676 0.503066i
\(265\) 2.36628 + 4.91364i 0.145360 + 0.301842i
\(266\) 3.87491 22.7407i 0.237586 1.39432i
\(267\) −2.75386 + 5.71845i −0.168534 + 0.349964i
\(268\) −3.25485 + 4.81164i −0.198822 + 0.293918i
\(269\) 4.87674 + 5.25588i 0.297340 + 0.320457i 0.863997 0.503498i \(-0.167954\pi\)
−0.566656 + 0.823954i \(0.691763\pi\)
\(270\) 0.815152 + 5.34199i 0.0496085 + 0.325103i
\(271\) −6.41362 + 4.37273i −0.389600 + 0.265625i −0.742240 0.670135i \(-0.766236\pi\)
0.352640 + 0.935759i \(0.385284\pi\)
\(272\) 2.23563 + 7.06419i 0.135555 + 0.428329i
\(273\) −1.04741 + 4.18218i −0.0633924 + 0.253117i
\(274\) 14.7328 + 2.19312i 0.890042 + 0.132491i
\(275\) 32.6125 + 18.8289i 1.96661 + 1.13542i
\(276\) −10.5372 8.34040i −0.634266 0.502033i
\(277\) 18.7233 + 12.7653i 1.12497 + 0.766994i 0.975112 0.221713i \(-0.0711648\pi\)
0.149862 + 0.988707i \(0.452117\pi\)
\(278\) 10.6237 + 5.09224i 0.637167 + 0.305412i
\(279\) −0.0227094 0.0994964i −0.00135958 0.00595669i
\(280\) −10.8586 + 26.4524i −0.648926 + 1.58083i
\(281\) 1.80216 7.89579i 0.107508 0.471024i −0.892300 0.451442i \(-0.850910\pi\)
0.999808 0.0195811i \(-0.00623324\pi\)
\(282\) 6.15916 7.75233i 0.366773 0.461645i
\(283\) 5.74734 1.77282i 0.341644 0.105383i −0.119185 0.992872i \(-0.538028\pi\)
0.460829 + 0.887489i \(0.347552\pi\)
\(284\) 0.0508852 + 13.9373i 0.00301948 + 0.827027i
\(285\) 6.94390 22.5116i 0.411321 1.33347i
\(286\) 8.63277 2.68013i 0.510466 0.158479i
\(287\) −15.8847 + 26.2255i −0.937644 + 1.54804i
\(288\) 4.18171 + 3.80963i 0.246410 + 0.224485i
\(289\) 4.95720 + 12.6307i 0.291600 + 0.742985i
\(290\) 22.9766 + 13.2097i 1.34923 + 0.775700i
\(291\) −0.243137 + 1.61311i −0.0142529 + 0.0945621i
\(292\) 26.2169 + 10.1791i 1.53423 + 0.595686i
\(293\) 15.4177i 0.900713i −0.892849 0.450356i \(-0.851297\pi\)
0.892849 0.450356i \(-0.148703\pi\)
\(294\) −3.24366 9.35300i −0.189174 0.545478i
\(295\) 2.28337i 0.132943i
\(296\) 26.3836 18.2005i 1.53352 1.05788i
\(297\) −0.584604 + 3.87860i −0.0339222 + 0.225059i
\(298\) 5.06138 8.80365i 0.293198 0.509982i
\(299\) −4.00024 10.1924i −0.231340 0.589444i
\(300\) −9.53989 + 16.6638i −0.550786 + 0.962084i
\(301\) 23.3215 + 22.5688i 1.34423 + 1.30084i
\(302\) −4.73964 15.2665i −0.272736 0.878491i
\(303\) −0.537223 + 1.74163i −0.0308627 + 0.100054i
\(304\) −9.17717 22.8901i −0.526347 1.31284i
\(305\) −29.2796 + 9.03155i −1.67654 + 0.517145i
\(306\) −2.05111 1.62959i −0.117254 0.0931573i
\(307\) −4.22531 + 18.5123i −0.241151 + 1.05655i 0.698820 + 0.715298i \(0.253709\pi\)
−0.939971 + 0.341254i \(0.889148\pi\)
\(308\) −13.2204 + 16.0003i −0.753300 + 0.911702i
\(309\) −0.132188 0.579154i −0.00751992 0.0329469i
\(310\) 0.238374 0.497309i 0.0135387 0.0282453i
\(311\) −5.10374 3.47967i −0.289406 0.197314i 0.409910 0.912126i \(-0.365560\pi\)
−0.699317 + 0.714812i \(0.746512\pi\)
\(312\) 1.38263 + 4.39675i 0.0782762 + 0.248917i
\(313\) 9.53539 + 5.50526i 0.538972 + 0.311176i 0.744662 0.667441i \(-0.232611\pi\)
−0.205690 + 0.978617i \(0.565944\pi\)
\(314\) −4.32974 + 29.0861i −0.244341 + 1.64142i
\(315\) −2.04215 9.90123i −0.115062 0.557871i
\(316\) −11.0978 0.790931i −0.624301 0.0444934i
\(317\) 6.17791 4.21203i 0.346986 0.236571i −0.377268 0.926104i \(-0.623136\pi\)
0.724254 + 0.689533i \(0.242184\pi\)
\(318\) −1.99537 + 0.304480i −0.111895 + 0.0170744i
\(319\) 13.0849 + 14.1021i 0.732611 + 0.789567i
\(320\) 4.88682 + 30.1755i 0.273182 + 1.68686i
\(321\) 1.98472 4.12132i 0.110776 0.230029i
\(322\) 20.4973 + 14.5583i 1.14227 + 0.811300i
\(323\) 4.95517 + 10.2895i 0.275713 + 0.572524i
\(324\) −1.97874 0.290862i −0.109930 0.0161590i
\(325\) −13.5487 + 7.82232i −0.751544 + 0.433904i
\(326\) −4.99077 + 1.96925i −0.276413 + 0.109067i
\(327\) −10.1311 + 1.52702i −0.560253 + 0.0844445i
\(328\) 0.179507 + 32.7775i 0.00991164 + 1.80984i
\(329\) −10.7537 + 15.0823i −0.592871 + 0.831515i
\(330\) −15.5114 + 14.4453i −0.853876 + 0.795187i
\(331\) −8.99879 0.674366i −0.494618 0.0370665i −0.174914 0.984584i \(-0.555965\pi\)
−0.319704 + 0.947517i \(0.603584\pi\)
\(332\) −4.32053 5.37738i −0.237120 0.295122i
\(333\) −4.14012 + 10.5489i −0.226877 + 0.578074i
\(334\) 5.03586 + 6.29118i 0.275550 + 0.344238i
\(335\) 6.91984 8.67721i 0.378071 0.474087i
\(336\) −8.18297 6.71111i −0.446418 0.366121i
\(337\) −5.92746 7.43280i −0.322889 0.404890i 0.593722 0.804670i \(-0.297658\pi\)
−0.916611 + 0.399780i \(0.869087\pi\)
\(338\) 3.22933 14.2686i 0.175652 0.776110i
\(339\) −0.374410 4.99615i −0.0203351 0.271354i
\(340\) −3.20041 13.7896i −0.173567 0.747849i
\(341\) 0.272274 0.293442i 0.0147445 0.0158908i
\(342\) 7.21300 + 4.89847i 0.390034 + 0.264879i
\(343\) 6.96918 + 17.1590i 0.376300 + 0.926498i
\(344\) 33.8663 + 7.53488i 1.82595 + 0.406254i
\(345\) 18.8211 + 17.4634i 1.01329 + 0.940198i
\(346\) −12.7716 + 13.8150i −0.686607 + 0.742701i
\(347\) 33.0692 2.47819i 1.77525 0.133036i 0.853565 0.520986i \(-0.174436\pi\)
0.921680 + 0.387950i \(0.126817\pi\)
\(348\) −7.16614 + 6.69806i −0.384145 + 0.359054i
\(349\) 23.6969 18.8976i 1.26846 1.01157i 0.269647 0.962959i \(-0.413093\pi\)
0.998818 0.0486078i \(-0.0154785\pi\)
\(350\) 16.2038 32.0602i 0.866131 1.71369i
\(351\) −1.27402 1.01600i −0.0680023 0.0542301i
\(352\) −3.10662 + 21.9699i −0.165584 + 1.17100i
\(353\) 0.136471 + 0.0535610i 0.00726363 + 0.00285077i 0.368970 0.929441i \(-0.379710\pi\)
−0.361706 + 0.932292i \(0.617806\pi\)
\(354\) −0.808003 0.247622i −0.0429449 0.0131609i
\(355\) 1.98991 26.5535i 0.105613 1.40931i
\(356\) −1.93776 12.5452i −0.102701 0.664896i
\(357\) 3.99047 + 2.84521i 0.211198 + 0.150585i
\(358\) 2.44651 + 0.955033i 0.129302 + 0.0504750i
\(359\) 3.19845 + 21.2204i 0.168808 + 1.11997i 0.899391 + 0.437144i \(0.144010\pi\)
−0.730583 + 0.682823i \(0.760752\pi\)
\(360\) −7.39435 7.88219i −0.389716 0.415428i
\(361\) −9.50559 16.4642i −0.500294 0.866535i
\(362\) −7.48740 15.4754i −0.393529 0.813369i
\(363\) −3.95099 + 1.90270i −0.207373 + 0.0998657i
\(364\) −3.01051 8.08009i −0.157793 0.423512i
\(365\) −48.4104 23.3132i −2.53392 1.22027i
\(366\) −0.0207019 11.3404i −0.00108211 0.592773i
\(367\) −10.3881 + 9.63875i −0.542255 + 0.503139i −0.903067 0.429500i \(-0.858690\pi\)
0.360812 + 0.932638i \(0.382499\pi\)
\(368\) 26.8159 + 1.81277i 1.39788 + 0.0944973i
\(369\) −6.52819 9.57510i −0.339844 0.498460i
\(370\) −52.9771 + 30.7154i −2.75415 + 1.59682i
\(371\) 3.69836 0.762794i 0.192009 0.0396023i
\(372\) 0.150129 + 0.138283i 0.00778384 + 0.00716964i
\(373\) 4.07707 7.06170i 0.211103 0.365641i −0.740957 0.671552i \(-0.765628\pi\)
0.952060 + 0.305912i \(0.0989612\pi\)
\(374\) 0.749172 10.2480i 0.0387387 0.529912i
\(375\) 9.90290 14.5249i 0.511383 0.750062i
\(376\) −1.37167 + 19.7549i −0.0707385 + 1.01878i
\(377\) −7.79173 + 1.77841i −0.401295 + 0.0915929i
\(378\) 3.72515 + 0.351102i 0.191601 + 0.0180587i
\(379\) −34.3931 7.85000i −1.76666 0.403228i −0.789161 0.614187i \(-0.789484\pi\)
−0.977495 + 0.210959i \(0.932341\pi\)
\(380\) 14.0521 + 44.9721i 0.720857 + 2.30702i
\(381\) 3.04687 + 9.87771i 0.156096 + 0.506051i
\(382\) −16.6384 24.3085i −0.851293 1.24373i
\(383\) −1.70007 0.524401i −0.0868693 0.0267956i 0.251016 0.967983i \(-0.419235\pi\)
−0.337885 + 0.941187i \(0.609712\pi\)
\(384\) −11.2080 1.54313i −0.571955 0.0787475i
\(385\) 27.5761 28.4957i 1.40541 1.45228i
\(386\) 2.84745 + 37.0880i 0.144932 + 1.88773i
\(387\) −11.4184 + 4.48140i −0.580430 + 0.227802i
\(388\) −1.42634 2.93437i −0.0724113 0.148970i
\(389\) 38.4585 + 5.79669i 1.94992 + 0.293904i 0.999837 0.0180795i \(-0.00575520\pi\)
0.950088 + 0.311983i \(0.100993\pi\)
\(390\) −1.97513 8.58136i −0.100015 0.434534i
\(391\) −12.4466 −0.629454
\(392\) 15.9405 + 11.7431i 0.805118 + 0.593114i
\(393\) −5.27807 −0.266243
\(394\) 0.542569 + 2.35731i 0.0273342 + 0.118759i
\(395\) 21.0192 + 3.16813i 1.05759 + 0.159406i
\(396\) −3.42952 7.05546i −0.172340 0.354550i
\(397\) 7.30868 2.86844i 0.366812 0.143963i −0.174774 0.984609i \(-0.555919\pi\)
0.541586 + 0.840646i \(0.317824\pi\)
\(398\) 1.40553 + 18.3070i 0.0704528 + 0.917645i
\(399\) −13.9521 8.45079i −0.698481 0.423068i
\(400\) −3.14939 38.2733i −0.157469 1.91367i
\(401\) −17.6390 5.44093i −0.880852 0.271707i −0.178845 0.983877i \(-0.557236\pi\)
−0.702007 + 0.712170i \(0.747712\pi\)
\(402\) 2.32013 + 3.38969i 0.115717 + 0.169062i
\(403\) 0.0490185 + 0.158914i 0.00244179 + 0.00791608i
\(404\) −1.08716 3.47932i −0.0540880 0.173103i
\(405\) 3.72528 + 0.850271i 0.185111 + 0.0422503i
\(406\) 12.7375 13.2105i 0.632153 0.655626i
\(407\) −43.3351 + 9.89096i −2.14804 + 0.490277i
\(408\) 5.22673 + 0.362916i 0.258762 + 0.0179670i
\(409\) 6.35596 9.32249i 0.314282 0.460967i −0.636299 0.771442i \(-0.719536\pi\)
0.950582 + 0.310475i \(0.100488\pi\)
\(410\) 4.56587 62.4571i 0.225492 3.08453i
\(411\) 5.26623 9.12138i 0.259764 0.449924i
\(412\) 0.873881 + 0.804926i 0.0430530 + 0.0396559i
\(413\) 1.53366 + 0.384101i 0.0754665 + 0.0189004i
\(414\) −8.22072 + 4.76627i −0.404026 + 0.234249i
\(415\) 7.42401 + 10.8890i 0.364430 + 0.534521i
\(416\) −7.25912 5.68134i −0.355908 0.278551i
\(417\) 6.10668 5.66617i 0.299045 0.277473i
\(418\) 0.0624315 + 34.1997i 0.00305362 + 1.67276i
\(419\) 30.5166 + 14.6960i 1.49083 + 0.717947i 0.989123 0.147090i \(-0.0469905\pi\)
0.501709 + 0.865036i \(0.332705\pi\)
\(420\) 14.5810 + 14.0076i 0.711478 + 0.683503i
\(421\) −25.1032 + 12.0891i −1.22346 + 0.589185i −0.930272 0.366871i \(-0.880429\pi\)
−0.293183 + 0.956056i \(0.594715\pi\)
\(422\) −1.40034 2.89430i −0.0681673 0.140892i
\(423\) −3.50061 6.06323i −0.170205 0.294804i
\(424\) 2.94420 2.76198i 0.142983 0.134134i
\(425\) 2.65057 + 17.5854i 0.128572 + 0.853018i
\(426\) 9.18053 + 3.58377i 0.444798 + 0.173634i
\(427\) 1.14087 + 21.1853i 0.0552107 + 1.02523i
\(428\) 1.39655 + 9.04141i 0.0675049 + 0.437033i
\(429\) 0.477653 6.37383i 0.0230613 0.307732i
\(430\) −63.3758 19.4222i −3.05625 0.936623i
\(431\) 16.6220 + 6.52367i 0.800656 + 0.314234i 0.730159 0.683278i \(-0.239446\pi\)
0.0704971 + 0.997512i \(0.477541\pi\)
\(432\) 3.59111 1.76180i 0.172777 0.0847648i
\(433\) 25.9272 + 20.6762i 1.24598 + 0.993636i 0.999701 + 0.0244365i \(0.00777916\pi\)
0.246278 + 0.969199i \(0.420792\pi\)
\(434\) −0.293927 0.243763i −0.0141089 0.0117010i
\(435\) 14.6520 11.6846i 0.702509 0.560233i
\(436\) 14.9701 13.9923i 0.716937 0.670108i
\(437\) 41.3107 3.09581i 1.97616 0.148093i
\(438\) 13.4996 14.6025i 0.645035 0.697733i
\(439\) −12.1520 11.2754i −0.579984 0.538146i 0.334696 0.942326i \(-0.391366\pi\)
−0.914680 + 0.404180i \(0.867557\pi\)
\(440\) 9.20663 41.3802i 0.438909 1.97272i
\(441\) −6.99383 0.293910i −0.333039 0.0139957i
\(442\) 3.53145 + 2.39827i 0.167974 + 0.114074i
\(443\) 15.6408 16.8567i 0.743115 0.800888i −0.242454 0.970163i \(-0.577952\pi\)
0.985569 + 0.169275i \(0.0541427\pi\)
\(444\) −5.12395 22.0776i −0.243172 1.04776i
\(445\) 1.81239 + 24.1846i 0.0859153 + 1.14646i
\(446\) 1.90869 8.43347i 0.0903792 0.399336i
\(447\) −4.47703 5.61401i −0.211756 0.265534i
\(448\) 21.0899 + 1.79371i 0.996403 + 0.0847449i
\(449\) −0.761979 + 0.955492i −0.0359600 + 0.0450924i −0.799486 0.600684i \(-0.794895\pi\)
0.763526 + 0.645777i \(0.223466\pi\)
\(450\) 8.48473 + 10.5998i 0.399974 + 0.499678i
\(451\) 16.6069 42.3137i 0.781988 1.99247i
\(452\) 6.27613 + 7.81134i 0.295204 + 0.367414i
\(453\) −11.2717 0.844700i −0.529593 0.0396875i
\(454\) 9.99556 9.30853i 0.469115 0.436871i
\(455\) 4.52418 + 15.8406i 0.212097 + 0.742620i
\(456\) −17.4379 + 0.0954994i −0.816604 + 0.00447217i
\(457\) −12.0287 + 1.81303i −0.562679 + 0.0848101i −0.424222 0.905558i \(-0.639452\pi\)
−0.138457 + 0.990368i \(0.544214\pi\)
\(458\) 3.57450 1.41042i 0.167025 0.0659048i
\(459\) −1.60421 + 0.926188i −0.0748779 + 0.0432308i
\(460\) −50.8039 7.46787i −2.36875 0.348191i
\(461\) −16.8636 35.0176i −0.785415 1.63093i −0.775801 0.630977i \(-0.782654\pi\)
−0.00961392 0.999954i \(-0.503060\pi\)
\(462\) 7.09311 + 12.8484i 0.330001 + 0.597762i
\(463\) −3.00383 + 6.23751i −0.139600 + 0.289882i −0.959034 0.283292i \(-0.908574\pi\)
0.819434 + 0.573173i \(0.194288\pi\)
\(464\) 4.22567 19.1576i 0.196172 0.889370i
\(465\) −0.265241 0.285862i −0.0123002 0.0132565i
\(466\) −13.8863 + 2.11896i −0.643272 + 0.0981590i
\(467\) 6.05020 4.12496i 0.279970 0.190880i −0.415191 0.909734i \(-0.636285\pi\)
0.695161 + 0.718854i \(0.255333\pi\)
\(468\) 3.25083 + 0.231684i 0.150270 + 0.0107096i
\(469\) −4.66414 6.10746i −0.215370 0.282016i
\(470\) 5.57046 37.4210i 0.256946 1.72610i
\(471\) 18.0078 + 10.3968i 0.829755 + 0.479059i
\(472\) 1.61235 0.507030i 0.0742143 0.0233379i
\(473\) −39.7533 27.1033i −1.82786 1.24621i
\(474\) −3.40052 + 7.09436i −0.156191 + 0.325855i
\(475\) −13.1713 57.7071i −0.604340 2.64779i
\(476\) −9.80038 0.170042i −0.449200 0.00779385i
\(477\) −0.317598 + 1.39149i −0.0145418 + 0.0637119i
\(478\) −9.96082 7.91379i −0.455597 0.361968i
\(479\) −11.5623 + 3.56649i −0.528294 + 0.162957i −0.547417 0.836860i \(-0.684389\pi\)
0.0191230 + 0.999817i \(0.493913\pi\)
\(480\) 21.1164 + 4.61731i 0.963827 + 0.210751i
\(481\) 5.44303 17.6459i 0.248181 0.804582i
\(482\) −7.45292 24.0061i −0.339471 1.09345i
\(483\) 14.8956 9.70381i 0.677771 0.441539i
\(484\) 4.35751 7.61147i 0.198069 0.345976i
\(485\) 2.27733 + 5.80255i 0.103408 + 0.263480i
\(486\) −0.704870 + 1.22603i −0.0319735 + 0.0556140i
\(487\) −4.82825 + 32.0334i −0.218789 + 1.45157i 0.562188 + 0.827010i \(0.309960\pi\)
−0.780977 + 0.624560i \(0.785278\pi\)
\(488\) 12.8790 + 18.6696i 0.583006 + 0.845131i
\(489\) 3.79379i 0.171561i
\(490\) −28.6031 24.7534i −1.29216 1.11824i
\(491\) 11.3610i 0.512713i −0.966582 0.256357i \(-0.917478\pi\)
0.966582 0.256357i \(-0.0825221\pi\)
\(492\) 21.6062 + 8.38888i 0.974080 + 0.378200i
\(493\) −1.35405 + 8.98356i −0.0609835 + 0.404599i
\(494\) −12.3175 7.08156i −0.554190 0.318614i
\(495\) 5.47567 + 13.9518i 0.246113 + 0.627086i
\(496\) −0.404094 0.0578930i −0.0181444 0.00259947i
\(497\) −17.5003 5.80329i −0.784997 0.260313i
\(498\) −4.65833 + 1.44622i −0.208745 + 0.0648068i
\(499\) 12.2833 39.8214i 0.549874 1.78265i −0.0695339 0.997580i \(-0.522151\pi\)
0.619408 0.785069i \(-0.287373\pi\)
\(500\) 0.128365 + 35.1588i 0.00574066 + 1.57235i
\(501\) 5.44504 1.67957i 0.243266 0.0750377i
\(502\) 21.6849 27.2940i 0.967843 1.21819i
\(503\) −2.07425 + 9.08786i −0.0924860 + 0.405208i −0.999887 0.0150590i \(-0.995206\pi\)
0.907401 + 0.420267i \(0.138064\pi\)
\(504\) −6.53804 + 3.64061i −0.291227 + 0.162166i
\(505\) 1.54971 + 6.78972i 0.0689612 + 0.302139i
\(506\) −33.6110 16.1107i −1.49419 0.716207i
\(507\) −8.54712 5.82733i −0.379591 0.258801i
\(508\) −16.2105 12.8309i −0.719223 0.569278i
\(509\) 10.7607 + 6.21268i 0.476959 + 0.275372i 0.719148 0.694857i \(-0.244532\pi\)
−0.242189 + 0.970229i \(0.577866\pi\)
\(510\) −9.90082 1.47383i −0.438416 0.0652623i
\(511\) −23.8021 + 28.5939i −1.05294 + 1.26492i
\(512\) 20.2226 10.1513i 0.893719 0.448627i
\(513\) 5.09403 3.47305i 0.224907 0.153339i
\(514\) 1.73916 + 11.3974i 0.0767112 + 0.502717i
\(515\) −1.54393 1.66396i −0.0680337 0.0733228i
\(516\) 13.7456 20.3202i 0.605118 0.894545i
\(517\) 11.9151 24.7420i 0.524027 1.08815i
\(518\) 11.7189 + 40.7497i 0.514897 + 1.79044i
\(519\) 5.77220 + 11.9861i 0.253372 + 0.526132i
\(520\) 12.9755 + 11.9080i 0.569015 + 0.522199i
\(521\) −7.92159 + 4.57353i −0.347051 + 0.200370i −0.663386 0.748278i \(-0.730881\pi\)
0.316334 + 0.948648i \(0.397548\pi\)
\(522\) 2.54581 + 6.45195i 0.111427 + 0.282394i
\(523\) −20.1807 + 3.04175i −0.882440 + 0.133006i −0.574602 0.818433i \(-0.694843\pi\)
−0.307837 + 0.951439i \(0.599605\pi\)
\(524\) 8.70012 5.97829i 0.380066 0.261163i
\(525\) −16.8823 18.9789i −0.736802 0.828308i
\(526\) 13.8880 + 14.9130i 0.605546 + 0.650239i
\(527\) 0.188516 + 0.0141273i 0.00821188 + 0.000615395i
\(528\) 13.6445 + 7.74539i 0.593802 + 0.337075i
\(529\) −8.09186 + 20.6177i −0.351820 + 0.896423i
\(530\) −6.02127 + 4.81981i −0.261547 + 0.209359i
\(531\) −0.372580 + 0.467201i −0.0161686 + 0.0202748i
\(532\) 32.5700 1.87324i 1.41209 0.0812153i
\(533\) 11.7742 + 14.7644i 0.509997 + 0.639516i
\(534\) −8.75460 1.98137i −0.378849 0.0857424i
\(535\) −1.30620 17.4300i −0.0564717 0.753563i
\(536\) −7.66377 2.95948i −0.331024 0.127830i
\(537\) 1.26313 1.36133i 0.0545083 0.0587459i
\(538\) −5.69660 + 8.38824i −0.245598 + 0.361643i
\(539\) −14.5008 23.3153i −0.624595 1.00426i
\(540\) −7.10365 + 2.81795i −0.305692 + 0.121265i
\(541\) 0.406226 + 0.376923i 0.0174650 + 0.0162052i 0.688857 0.724897i \(-0.258113\pi\)
−0.671392 + 0.741102i \(0.734303\pi\)
\(542\) −8.06086 7.45205i −0.346244 0.320093i
\(543\) −12.1223 + 0.908439i −0.520216 + 0.0389848i
\(544\) −9.02655 + 5.32192i −0.387010 + 0.228176i
\(545\) −30.6080 + 24.4091i −1.31110 + 1.04557i
\(546\) −6.09605 0.116902i −0.260887 0.00500293i
\(547\) 1.81637 + 1.44850i 0.0776622 + 0.0619335i 0.661551 0.749900i \(-0.269898\pi\)
−0.583889 + 0.811833i \(0.698470\pi\)
\(548\) 1.65087 + 21.0001i 0.0705215 + 0.897081i
\(549\) −7.46458 2.92963i −0.318581 0.125034i
\(550\) −15.6046 + 50.9186i −0.665381 + 2.17118i
\(551\) 2.25969 30.1534i 0.0962659 1.28458i
\(552\) 8.15207 17.1678i 0.346975 0.730711i
\(553\) 5.66369 13.5849i 0.240845 0.577689i
\(554\) −11.6537 + 29.8533i −0.495119 + 1.26835i
\(555\) 6.45373 + 42.8177i 0.273946 + 1.81751i
\(556\) −3.64809 + 16.2567i −0.154713 + 0.689436i
\(557\) 3.45762 + 5.98877i 0.146504 + 0.253752i 0.929933 0.367729i \(-0.119865\pi\)
−0.783429 + 0.621481i \(0.786531\pi\)
\(558\) 0.129920 0.0628587i 0.00549996 0.00266102i
\(559\) 18.0090 8.67266i 0.761698 0.366815i
\(560\) −39.9006 6.57420i −1.68611 0.277811i
\(561\) −6.54623 3.15250i −0.276382 0.133099i
\(562\) 11.4535 0.0209083i 0.483136 0.000881964i
\(563\) −9.00209 + 8.35272i −0.379393 + 0.352025i −0.846701 0.532069i \(-0.821415\pi\)
0.467308 + 0.884095i \(0.345224\pi\)
\(564\) 12.6378 + 6.02932i 0.532149 + 0.253880i
\(565\) −10.7843 15.8177i −0.453700 0.665456i
\(566\) 4.26637 + 7.35852i 0.179329 + 0.309302i
\(567\) 1.19775 2.35911i 0.0503008 0.0990733i
\(568\) −19.1920 + 4.49116i −0.805277 + 0.188445i
\(569\) −2.40769 + 4.17024i −0.100936 + 0.174825i −0.912070 0.410034i \(-0.865517\pi\)
0.811135 + 0.584859i \(0.198850\pi\)
\(570\) 33.2277 + 2.42908i 1.39175 + 0.101743i
\(571\) 19.8113 29.0578i 0.829076 1.21603i −0.144915 0.989444i \(-0.546291\pi\)
0.973991 0.226587i \(-0.0727569\pi\)
\(572\) 6.43208 + 11.0473i 0.268939 + 0.461913i
\(573\) −20.3073 + 4.63501i −0.848350 + 0.193630i
\(574\) −41.1822 13.5730i −1.71891 0.566527i
\(575\) 62.8922 + 14.3547i 2.62279 + 0.598634i
\(576\) −3.92388 + 6.97160i −0.163495 + 0.290483i
\(577\) −7.28994 23.6334i −0.303484 0.983871i −0.970960 0.239240i \(-0.923102\pi\)
0.667476 0.744631i \(-0.267375\pi\)
\(578\) −15.8350 + 10.8385i −0.658648 + 0.450822i
\(579\) 25.1338 + 7.75275i 1.04452 + 0.322193i
\(580\) −10.9169 + 35.8561i −0.453301 + 1.48884i
\(581\) 8.56261 3.15473i 0.355237 0.130880i
\(582\) −2.30028 + 0.176605i −0.0953496 + 0.00732053i
\(583\) −5.21135 + 2.04530i −0.215832 + 0.0847078i
\(584\) −5.71237 + 39.3606i −0.236380 + 1.62875i
\(585\) −6.15705 0.928026i −0.254563 0.0383691i
\(586\) 21.2484 4.89063i 0.877762 0.202030i
\(587\) −27.0283 −1.11558 −0.557788 0.829983i \(-0.688350\pi\)
−0.557788 + 0.829983i \(0.688350\pi\)
\(588\) 11.8612 7.43720i 0.489148 0.306705i
\(589\) −0.629202 −0.0259258
\(590\) −3.14690 + 0.724306i −0.129556 + 0.0298192i
\(591\) 1.69134 + 0.254929i 0.0695726 + 0.0104864i
\(592\) 33.4527 + 30.5880i 1.37490 + 1.25716i
\(593\) 18.2172 7.14971i 0.748089 0.293603i 0.0394949 0.999220i \(-0.487425\pi\)
0.708594 + 0.705617i \(0.249330\pi\)
\(594\) −5.53084 + 0.424634i −0.226933 + 0.0174229i
\(595\) 18.6410 + 1.79128i 0.764206 + 0.0734354i
\(596\) 13.7385 + 4.18290i 0.562752 + 0.171338i
\(597\) 12.4063 + 3.82683i 0.507755 + 0.156622i
\(598\) 12.7781 8.74617i 0.522535 0.357658i
\(599\) −3.86963 12.5450i −0.158109 0.512576i 0.841508 0.540244i \(-0.181668\pi\)
−0.999617 + 0.0276678i \(0.991192\pi\)
\(600\) −25.9918 7.86179i −1.06111 0.320956i
\(601\) 18.1765 + 4.14866i 0.741434 + 0.169227i 0.576523 0.817081i \(-0.304409\pi\)
0.164911 + 0.986308i \(0.447266\pi\)
\(602\) −23.7061 + 39.3002i −0.966188 + 1.60176i
\(603\) 2.83174 0.646326i 0.115317 0.0263204i
\(604\) 19.5366 11.3748i 0.794932 0.462832i
\(605\) −9.43926 + 13.8448i −0.383760 + 0.562873i
\(606\) −2.57070 0.187929i −0.104427 0.00763408i
\(607\) 6.94469 12.0286i 0.281876 0.488224i −0.689970 0.723837i \(-0.742377\pi\)
0.971847 + 0.235613i \(0.0757099\pi\)
\(608\) 28.6356 19.9087i 1.16133 0.807406i
\(609\) −5.38341 11.8068i −0.218147 0.478434i
\(610\) −21.7348 37.4876i −0.880018 1.51783i
\(611\) 6.42677 + 9.42634i 0.259999 + 0.381349i
\(612\) 1.59523 3.34371i 0.0644835 0.135162i
\(613\) −6.39128 + 5.93024i −0.258142 + 0.239520i −0.798617 0.601839i \(-0.794435\pi\)
0.540476 + 0.841360i \(0.318244\pi\)
\(614\) −26.8536 + 0.0490211i −1.08372 + 0.00197833i
\(615\) −39.8964 19.2131i −1.60878 0.774747i
\(616\) −26.2449 13.1446i −1.05744 0.529611i
\(617\) 20.0111 9.63684i 0.805616 0.387964i 0.0147025 0.999892i \(-0.495320\pi\)
0.790914 + 0.611928i \(0.209606\pi\)
\(618\) 0.756247 0.365892i 0.0304207 0.0147183i
\(619\) 7.16302 + 12.4067i 0.287906 + 0.498668i 0.973310 0.229495i \(-0.0737076\pi\)
−0.685404 + 0.728163i \(0.740374\pi\)
\(620\) 0.760996 + 0.170772i 0.0305623 + 0.00685836i
\(621\) 1.00146 + 6.64424i 0.0401871 + 0.266624i
\(622\) 3.17666 8.13765i 0.127372 0.326290i
\(623\) 16.5488 + 2.85093i 0.663014 + 0.114220i
\(624\) −5.62093 + 3.30021i −0.225017 + 0.132114i
\(625\) 1.43254 19.1159i 0.0573014 0.764635i
\(626\) −4.56253 + 14.8878i −0.182355 + 0.595036i
\(627\) 22.5112 + 8.83500i 0.899011 + 0.352836i
\(628\) −41.4593 + 3.25920i −1.65441 + 0.130056i
\(629\) −16.4118 13.0880i −0.654383 0.521853i
\(630\) 12.9979 5.95520i 0.517848 0.237261i
\(631\) −0.851719 + 0.679223i −0.0339064 + 0.0270395i −0.640296 0.768128i \(-0.721188\pi\)
0.606390 + 0.795167i \(0.292617\pi\)
\(632\) −2.43027 15.5457i −0.0966711 0.618373i
\(633\) −2.26718 + 0.169901i −0.0901122 + 0.00675298i
\(634\) 7.76462 + 7.17818i 0.308373 + 0.285082i
\(635\) 28.9543 + 26.8657i 1.14902 + 1.06613i
\(636\) −1.05258 2.65340i −0.0417374 0.105214i
\(637\) 11.4006 0.374078i 0.451709 0.0148215i
\(638\) −15.2846 + 22.5066i −0.605124 + 0.891045i
\(639\) 4.73992 5.10842i 0.187508 0.202086i
\(640\) −40.0371 + 16.3068i −1.58261 + 0.644585i
\(641\) 2.46733 + 32.9243i 0.0974537 + 1.30043i 0.804793 + 0.593556i \(0.202276\pi\)
−0.707339 + 0.706874i \(0.750105\pi\)
\(642\) 6.30948 + 1.42799i 0.249016 + 0.0563581i
\(643\) −10.8171 13.5642i −0.426583 0.534918i 0.521369 0.853331i \(-0.325421\pi\)
−0.947952 + 0.318413i \(0.896850\pi\)
\(644\) −13.5620 + 32.8670i −0.534416 + 1.29514i
\(645\) −29.2234 + 36.6450i −1.15067 + 1.44289i
\(646\) −12.6090 + 10.0930i −0.496093 + 0.397105i
\(647\) −14.3801 + 36.6399i −0.565340 + 1.44046i 0.307070 + 0.951687i \(0.400651\pi\)
−0.872410 + 0.488775i \(0.837444\pi\)
\(648\) −0.226812 2.81932i −0.00891001 0.110753i
\(649\) −2.33737 0.175162i −0.0917497 0.00687569i
\(650\) −15.0783 16.1912i −0.591420 0.635070i
\(651\) −0.236621 + 0.130066i −0.00927391 + 0.00509770i
\(652\) −4.29710 6.25351i −0.168287 0.244906i
\(653\) 20.1078 3.03077i 0.786880 0.118603i 0.256704 0.966490i \(-0.417364\pi\)
0.530177 + 0.847887i \(0.322126\pi\)
\(654\) −5.31819 13.4781i −0.207958 0.527037i
\(655\) −17.4659 + 10.0840i −0.682451 + 0.394013i
\(656\) −45.1164 + 10.6447i −1.76150 + 0.415606i
\(657\) −6.10121 12.6693i −0.238031 0.494276i
\(658\) −24.1973 10.0363i −0.943309 0.391256i
\(659\) 10.6971 22.2127i 0.416699 0.865283i −0.581946 0.813228i \(-0.697708\pi\)
0.998644 0.0520557i \(-0.0165773\pi\)
\(660\) −24.8285 16.7954i −0.966450 0.653758i
\(661\) −4.27733 4.60986i −0.166369 0.179303i 0.644365 0.764718i \(-0.277122\pi\)
−0.810733 + 0.585415i \(0.800931\pi\)
\(662\) −1.92509 12.6159i −0.0748209 0.490329i
\(663\) 2.49401 1.70039i 0.0968595 0.0660377i
\(664\) 6.04049 7.66022i 0.234416 0.297274i
\(665\) −62.3154 1.30880i −2.41649 0.0507531i
\(666\) −15.8515 2.35964i −0.614234 0.0914344i
\(667\) 28.5398 + 16.4775i 1.10507 + 0.638010i
\(668\) −7.07295 + 8.93594i −0.273661 + 0.345742i
\(669\) −5.05177 3.44424i −0.195313 0.133162i
\(670\) 14.1538 + 6.78430i 0.546808 + 0.262100i
\(671\) −6.99903 30.6648i −0.270195 1.18380i
\(672\) 6.65341 13.4064i 0.256661 0.517164i
\(673\) 5.84863 25.6245i 0.225448 0.987753i −0.727853 0.685733i \(-0.759482\pi\)
0.953301 0.302020i \(-0.0976611\pi\)
\(674\) 8.36349 10.5269i 0.322150 0.405479i
\(675\) 9.17414 2.82985i 0.353113 0.108921i
\(676\) 20.6891 0.0755360i 0.795734 0.00290523i
\(677\) 13.1399 42.5987i 0.505009 1.63720i −0.240460 0.970659i \(-0.577298\pi\)
0.745469 0.666540i \(-0.232226\pi\)
\(678\) 6.76683 2.10083i 0.259878 0.0806817i
\(679\) 4.28045 0.553520i 0.164269 0.0212422i
\(680\) 17.9894 8.78493i 0.689862 0.336887i
\(681\) −3.52852 8.99052i −0.135213 0.344518i
\(682\) 0.490783 + 0.282160i 0.0187931 + 0.0108045i
\(683\) 5.31088 35.2354i 0.203215 1.34824i −0.621819 0.783161i \(-0.713606\pi\)
0.825034 0.565083i \(-0.191156\pi\)
\(684\) −4.46295 + 11.4946i −0.170645 + 0.439509i
\(685\) 40.2454i 1.53770i
\(686\) −21.4375 + 15.0477i −0.818487 + 0.574526i
\(687\) 2.71720i 0.103668i
\(688\) 0.358271 + 49.0640i 0.0136590 + 1.87055i
\(689\) 0.346642 2.29982i 0.0132060 0.0876160i
\(690\) −18.0975 + 31.4783i −0.688960 + 1.19836i
\(691\) 7.29502 + 18.5874i 0.277516 + 0.707098i 0.999879 + 0.0155841i \(0.00496078\pi\)
−0.722363 + 0.691514i \(0.756944\pi\)
\(692\) −23.0909 13.2194i −0.877784 0.502525i
\(693\) 10.2920 1.33090i 0.390961 0.0505566i
\(694\) 13.9052 + 44.7891i 0.527835 + 1.70017i
\(695\) 9.38249 30.4173i 0.355898 1.15379i
\(696\) −11.5043 7.75155i −0.436069 0.293822i
\(697\) 20.5131 6.32744i 0.776988 0.239669i
\(698\) 33.5612 + 26.6641i 1.27031 + 1.00925i
\(699\) −2.21025 + 9.68375i −0.0835994 + 0.366273i
\(700\) 49.3247 + 12.1620i 1.86430 + 0.459681i
\(701\) −8.54621 37.4434i −0.322786 1.41422i −0.832573 0.553916i \(-0.813133\pi\)
0.509787 0.860301i \(-0.329724\pi\)
\(702\) 0.996099 2.07812i 0.0375953 0.0784335i
\(703\) 57.7266 + 39.3573i 2.17720 + 1.48439i
\(704\) −31.2639 + 2.68756i −1.17830 + 0.101291i
\(705\) −23.1681 13.3761i −0.872561 0.503773i
\(706\) −0.0305269 + 0.205072i −0.00114889 + 0.00771798i
\(707\) 4.82110 + 0.101257i 0.181316 + 0.00380816i
\(708\) 0.0849615 1.19212i 0.00319305 0.0448027i
\(709\) −23.6886 + 16.1506i −0.889643 + 0.606548i −0.919536 0.393005i \(-0.871435\pi\)
0.0298938 + 0.999553i \(0.490483\pi\)
\(710\) 37.2267 5.68055i 1.39709 0.213187i
\(711\) 3.78379 + 4.07795i 0.141903 + 0.152935i
\(712\) 16.6749 6.65003i 0.624919 0.249221i
\(713\) 0.297530 0.617828i 0.0111426 0.0231378i
\(714\) −2.65540 + 6.40211i −0.0993758 + 0.239593i
\(715\) −10.5968 22.0046i −0.396299 0.822924i
\(716\) −0.540154 + 3.67467i −0.0201865 + 0.137329i
\(717\) −7.79052 + 4.49786i −0.290942 + 0.167976i
\(718\) −28.2309 + 11.1393i −1.05357 + 0.415716i
\(719\) 30.5983 4.61195i 1.14112 0.171997i 0.448834 0.893615i \(-0.351840\pi\)
0.692291 + 0.721618i \(0.256601\pi\)
\(720\) 8.51753 12.6910i 0.317429 0.472967i
\(721\) −1.37734 + 0.757097i −0.0512947 + 0.0281958i
\(722\) 19.6753 18.3230i 0.732240 0.681911i
\(723\) −17.7244 1.32826i −0.659179 0.0493986i
\(724\) 18.9528 15.2279i 0.704376 0.565941i
\(725\) 17.2027 43.8318i 0.638893 1.62787i
\(726\) −3.87555 4.84162i −0.143835 0.179689i
\(727\) 13.7264 17.2124i 0.509085 0.638373i −0.459166 0.888350i \(-0.651852\pi\)
0.968252 + 0.249977i \(0.0804232\pi\)
\(728\) 10.1809 6.71209i 0.377327 0.248767i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 16.7736 74.1133i 0.620819 2.74306i
\(731\) −1.69801 22.6583i −0.0628031 0.838049i
\(732\) 15.6226 3.62581i 0.577426 0.134014i
\(733\) −20.5483 + 22.1458i −0.758969 + 0.817974i −0.987839 0.155483i \(-0.950307\pi\)
0.228869 + 0.973457i \(0.426497\pi\)
\(734\) −16.5791 11.2592i −0.611947 0.415584i
\(735\) −23.7052 + 12.3894i −0.874379 + 0.456990i
\(736\) 6.00792 + 37.5322i 0.221455 + 1.38346i
\(737\) 8.35157 + 7.74912i 0.307634 + 0.285443i
\(738\) 11.1254 12.0343i 0.409532 0.442990i
\(739\) 21.2347 1.59132i 0.781131 0.0585377i 0.321806 0.946806i \(-0.395710\pi\)
0.459325 + 0.888268i \(0.348091\pi\)
\(740\) −59.1362 63.2688i −2.17389 2.32581i
\(741\) −7.85476 + 6.26396i −0.288552 + 0.230112i
\(742\) 2.22442 + 4.85504i 0.0816610 + 0.178234i
\(743\) −2.04799 1.63322i −0.0751335 0.0599170i 0.585203 0.810887i \(-0.301015\pi\)
−0.660336 + 0.750970i \(0.729586\pi\)
\(744\) −0.142957 + 0.250770i −0.00524104 + 0.00919366i
\(745\) −25.5410 10.0241i −0.935749 0.367254i
\(746\) 11.0256 + 3.37891i 0.403675 + 0.123711i
\(747\) −0.257746 + 3.43939i −0.00943045 + 0.125841i
\(748\) 14.3612 2.21826i 0.525099 0.0811077i
\(749\) −11.9268 2.05468i −0.435796 0.0750764i
\(750\) 23.1592 + 9.04056i 0.845654 + 0.330114i
\(751\) −7.84244 52.0312i −0.286175 1.89864i −0.419807 0.907613i \(-0.637902\pi\)
0.133632 0.991031i \(-0.457336\pi\)
\(752\) −27.6608 + 4.37600i −1.00869 + 0.159576i
\(753\) −12.3248 21.3471i −0.449139 0.777932i
\(754\) −4.92257 10.1743i −0.179270 0.370525i
\(755\) −38.9138 + 18.7399i −1.41622 + 0.682014i
\(756\) 0.697768 + 5.24530i 0.0253776 + 0.190770i
\(757\) −4.05396 1.95228i −0.147344 0.0709570i 0.358759 0.933430i \(-0.383200\pi\)
−0.506103 + 0.862473i \(0.668914\pi\)
\(758\) −0.0910740 49.8900i −0.00330796 1.81209i
\(759\) −19.3201 + 17.9265i −0.701277 + 0.650690i
\(760\) −57.5222 + 33.6318i −2.08655 + 1.21996i
\(761\) 26.0878 + 38.2637i 0.945681 + 1.38706i 0.921936 + 0.387342i \(0.126607\pi\)
0.0237449 + 0.999718i \(0.492441\pi\)
\(762\) −12.6468 + 7.33243i −0.458144 + 0.265626i
\(763\) 11.2460 + 24.6643i 0.407131 + 0.892909i
\(764\) 28.2237 30.6415i 1.02110 1.10857i
\(765\) −3.53904 + 6.12980i −0.127954 + 0.221623i
\(766\) 0.183443 2.50934i 0.00662807 0.0906662i
\(767\) 0.548542 0.804564i 0.0198067 0.0290511i
\(768\) −1.42856 15.9361i −0.0515486 0.575044i
\(769\) −41.2038 + 9.40451i −1.48585 + 0.339135i −0.887016 0.461739i \(-0.847226\pi\)
−0.598833 + 0.800874i \(0.704369\pi\)
\(770\) 48.0196 + 28.9657i 1.73051 + 1.04385i
\(771\) 7.94805 +