Properties

Label 588.2.ba.b.187.28
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 187.28
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.b.283.28

$q$-expansion

\(f(q)\) \(=\) \(q+(1.39803 + 0.213330i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.90898 + 0.596484i) q^{4} +(3.55694 - 1.39600i) q^{5} +(-1.35062 - 0.419313i) q^{6} +(0.339306 + 2.62390i) q^{7} +(2.54157 + 1.24115i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(1.39803 + 0.213330i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.90898 + 0.596484i) q^{4} +(3.55694 - 1.39600i) q^{5} +(-1.35062 - 0.419313i) q^{6} +(0.339306 + 2.62390i) q^{7} +(2.54157 + 1.24115i) q^{8} +(0.955573 + 0.294755i) q^{9} +(5.27053 - 1.19285i) q^{10} +(-1.15615 - 3.74814i) q^{11} +(-1.79876 - 0.874341i) q^{12} +(-1.58868 - 0.362606i) q^{13} +(-0.0853969 + 3.74068i) q^{14} +(-3.72528 + 0.850271i) q^{15} +(3.28841 + 2.27735i) q^{16} +(-1.04348 + 1.53051i) q^{17} +(1.27304 + 0.615929i) q^{18} +(-3.08266 + 5.33932i) q^{19} +(7.62283 - 0.543272i) q^{20} +(0.0555561 - 2.64517i) q^{21} +(-0.816741 - 5.48666i) q^{22} +(-3.78511 - 5.55173i) q^{23} +(-2.32820 - 1.60608i) q^{24} +(7.03779 - 6.53011i) q^{25} +(-2.14367 - 0.845848i) q^{26} +(-0.900969 - 0.433884i) q^{27} +(-0.917388 + 5.21137i) q^{28} +(4.41883 - 2.12800i) q^{29} +(-5.38944 + 0.393991i) q^{30} +(0.0510275 + 0.0883823i) q^{31} +(4.11148 + 3.88533i) q^{32} +(0.584604 + 3.87860i) q^{33} +(-1.78532 + 1.91709i) q^{34} +(4.86986 + 8.85941i) q^{35} +(1.64835 + 1.13267i) q^{36} +(-0.846858 + 11.3005i) q^{37} +(-5.44869 + 6.80692i) q^{38} +(1.51689 + 0.595337i) q^{39} +(10.7728 + 0.866667i) q^{40} +(-9.06047 - 7.22548i) q^{41} +(0.641963 - 3.68617i) q^{42} +(9.59021 - 7.64793i) q^{43} +(0.0286413 - 7.84476i) q^{44} +(3.81040 - 0.285550i) q^{45} +(-4.10735 - 8.56897i) 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} +(-2.81647 - 1.63983i) q^{52} +(0.106660 + 1.42328i) q^{53} +(-1.16702 - 0.798787i) q^{54} +(-9.34476 - 11.7180i) q^{55} +(-2.39428 + 7.08995i) q^{56} +(3.84401 - 4.82024i) q^{57} +(6.63162 - 2.03233i) q^{58} +(0.218318 - 0.556265i) q^{59} +(-7.61866 - 0.598919i) q^{60} +(-7.99648 - 0.599253i) q^{61} +(0.0524835 + 0.134447i) q^{62} +(-0.449177 + 2.60734i) q^{63} +(4.91911 + 6.30891i) q^{64} +(-6.15705 + 0.928026i) q^{65} +(-0.0101262 + 5.54711i) q^{66} +(-2.51542 + 1.45228i) q^{67} +(-2.90491 + 2.29929i) q^{68} +(2.91539 + 6.05387i) q^{69} +(4.91823 + 13.4246i) q^{70} +(-3.02361 + 6.27858i) q^{71} +(2.06282 + 1.93514i) q^{72} +(-9.56449 - 10.3081i) q^{73} +(-3.59468 + 15.6178i) q^{74} +(-7.93244 + 5.40825i) q^{75} +(-9.06956 + 8.35391i) q^{76} +(9.44248 - 4.30539i) q^{77} +(1.99366 + 1.15590i) q^{78} +(-4.81768 - 2.78149i) q^{79} +(14.8759 + 3.50980i) q^{80} +(0.826239 + 0.563320i) q^{81} +(-11.1254 - 12.0343i) q^{82} +(-0.767481 - 3.36256i) q^{83} +(1.68386 - 5.01644i) q^{84} +(-1.57502 + 6.90062i) q^{85} +(15.0389 - 8.64617i) q^{86} +(-4.68663 + 1.44564i) q^{87} +(1.71356 - 10.9611i) q^{88} +(-1.87081 + 6.06502i) q^{89} +(5.38797 + 0.413665i) q^{90} +(0.412394 - 4.29158i) q^{91} +(-3.91418 - 12.8559i) q^{92} +(-0.0372849 - 0.0950004i) q^{93} +(6.15916 + 7.75233i) q^{94} +(-3.51117 + 23.2951i) q^{95} +(-3.48648 - 4.45471i) q^{96} +1.63133i q^{97} +(-9.84417 + 1.04516i) q^{98} -3.92241i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} + O(q^{10}) \) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.39803 + 0.213330i 0.988557 + 0.150847i
\(3\) −0.988831 0.149042i −0.570902 0.0860496i
\(4\) 1.90898 + 0.596484i 0.954490 + 0.298242i
\(5\) 3.55694 1.39600i 1.59071 0.624309i 0.605532 0.795821i \(-0.292960\pi\)
0.985182 + 0.171512i \(0.0548651\pi\)
\(6\) −1.35062 0.419313i −0.551389 0.171184i
\(7\) 0.339306 + 2.62390i 0.128246 + 0.991742i
\(8\) 2.54157 + 1.24115i 0.898579 + 0.438811i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 5.27053 1.19285i 1.66669 0.377211i
\(11\) −1.15615 3.74814i −0.348592 1.13011i −0.944902 0.327354i \(-0.893843\pi\)
0.596310 0.802754i \(-0.296633\pi\)
\(12\) −1.79876 0.874341i −0.519257 0.252400i
\(13\) −1.58868 0.362606i −0.440621 0.100569i −0.00354549 0.999994i \(-0.501129\pi\)
−0.437075 + 0.899425i \(0.643986\pi\)
\(14\) −0.0853969 + 3.74068i −0.0228233 + 0.999740i
\(15\) −3.72528 + 0.850271i −0.961863 + 0.219539i
\(16\) 3.28841 + 2.27735i 0.822103 + 0.569338i
\(17\) −1.04348 + 1.53051i −0.253081 + 0.371202i −0.931663 0.363322i \(-0.881642\pi\)
0.678582 + 0.734524i \(0.262595\pi\)
\(18\) 1.27304 + 0.615929i 0.300058 + 0.145176i
\(19\) −3.08266 + 5.33932i −0.707211 + 1.22493i 0.258677 + 0.965964i \(0.416713\pi\)
−0.965888 + 0.258961i \(0.916620\pi\)
\(20\) 7.62283 0.543272i 1.70452 0.121479i
\(21\) 0.0555561 2.64517i 0.0121233 0.577223i
\(22\) −0.816741 5.48666i −0.174130 1.16976i
\(23\) −3.78511 5.55173i −0.789250 1.15762i −0.984245 0.176812i \(-0.943421\pi\)
0.194995 0.980804i \(-0.437531\pi\)
\(24\) −2.32820 1.60608i −0.475241 0.327841i
\(25\) 7.03779 6.53011i 1.40756 1.30602i
\(26\) −2.14367 0.845848i −0.420408 0.165884i
\(27\) −0.900969 0.433884i −0.173392 0.0835010i
\(28\) −0.917388 + 5.21137i −0.173370 + 0.984857i
\(29\) 4.41883 2.12800i 0.820556 0.395159i 0.0239910 0.999712i \(-0.492363\pi\)
0.796565 + 0.604553i \(0.206648\pi\)
\(30\) −5.38944 + 0.393991i −0.983973 + 0.0719325i
\(31\) 0.0510275 + 0.0883823i 0.00916482 + 0.0158739i 0.870571 0.492042i \(-0.163749\pi\)
−0.861407 + 0.507916i \(0.830416\pi\)
\(32\) 4.11148 + 3.88533i 0.726813 + 0.686835i
\(33\) 0.584604 + 3.87860i 0.101767 + 0.675177i
\(34\) −1.78532 + 1.91709i −0.306180 + 0.328778i
\(35\) 4.86986 + 8.85941i 0.823156 + 1.49751i
\(36\) 1.64835 + 1.13267i 0.274726 + 0.188778i
\(37\) −0.846858 + 11.3005i −0.139223 + 1.85780i 0.293106 + 0.956080i \(0.405311\pi\)
−0.432329 + 0.901716i \(0.642308\pi\)
\(38\) −5.44869 + 6.80692i −0.883895 + 1.10423i
\(39\) 1.51689 + 0.595337i 0.242897 + 0.0953302i
\(40\) 10.7728 + 0.866667i 1.70334 + 0.137032i
\(41\) −9.06047 7.22548i −1.41501 1.12843i −0.972835 0.231502i \(-0.925636\pi\)
−0.442173 0.896930i \(-0.645792\pi\)
\(42\) 0.641963 3.68617i 0.0990570 0.568789i
\(43\) 9.59021 7.64793i 1.46249 1.16630i 0.510620 0.859807i \(-0.329416\pi\)
0.951873 0.306492i \(-0.0991554\pi\)
\(44\) 0.0286413 7.84476i 0.00431783 1.18264i
\(45\) 3.81040 0.285550i 0.568021 0.0425673i
\(46\) −4.10735 8.56897i −0.605595 1.26343i
\(47\) 5.13225 + 4.76203i 0.748616 + 0.694614i 0.959126 0.282978i \(-0.0913222\pi\)
−0.210511 + 0.977592i \(0.567513\pi\)
\(48\) −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
\(52\) −2.81647 1.63983i −0.390574 0.227404i
\(53\) 0.106660 + 1.42328i 0.0146509 + 0.195503i 0.999727 + 0.0233812i \(0.00744314\pi\)
−0.985076 + 0.172122i \(0.944938\pi\)
\(54\) −1.16702 0.798787i −0.158812 0.108701i
\(55\) −9.34476 11.7180i −1.26005 1.58005i
\(56\) −2.39428 + 7.08995i −0.319949 + 0.947435i
\(57\) 3.84401 4.82024i 0.509152 0.638457i
\(58\) 6.63162 2.03233i 0.870775 0.266859i
\(59\) 0.218318 0.556265i 0.0284226 0.0724195i −0.915958 0.401274i \(-0.868567\pi\)
0.944381 + 0.328855i \(0.106663\pi\)
\(60\) −7.61866 0.598919i −0.983565 0.0773201i
\(61\) −7.99648 0.599253i −1.02384 0.0767265i −0.447790 0.894139i \(-0.647789\pi\)
−0.576053 + 0.817412i \(0.695408\pi\)
\(62\) 0.0524835 + 0.134447i 0.00666541 + 0.0170748i
\(63\) −0.449177 + 2.60734i −0.0565910 + 0.328494i
\(64\) 4.91911 + 6.30891i 0.614889 + 0.788614i
\(65\) −6.15705 + 0.928026i −0.763688 + 0.115107i
\(66\) −0.0101262 + 5.54711i −0.00124645 + 0.682802i
\(67\) −2.51542 + 1.45228i −0.307308 + 0.177424i −0.645721 0.763573i \(-0.723443\pi\)
0.338413 + 0.940998i \(0.390110\pi\)
\(68\) −2.90491 + 2.29929i −0.352272 + 0.278829i
\(69\) 2.91539 + 6.05387i 0.350972 + 0.728800i
\(70\) 4.91823 + 13.4246i 0.587841 + 1.60455i
\(71\) −3.02361 + 6.27858i −0.358836 + 0.745130i −0.999747 0.0224845i \(-0.992842\pi\)
0.640911 + 0.767615i \(0.278557\pi\)
\(72\) 2.06282 + 1.93514i 0.243105 + 0.228059i
\(73\) −9.56449 10.3081i −1.11944 1.20647i −0.976221 0.216776i \(-0.930446\pi\)
−0.143217 0.989691i \(-0.545745\pi\)
\(74\) −3.59468 + 15.6178i −0.417873 + 1.81554i
\(75\) −7.93244 + 5.40825i −0.915960 + 0.624491i
\(76\) −9.06956 + 8.35391i −1.04035 + 0.958259i
\(77\) 9.44248 4.30539i 1.07607 0.490645i
\(78\) 1.99366 + 1.15590i 0.225738 + 0.130880i
\(79\) −4.81768 2.78149i −0.542032 0.312942i 0.203870 0.978998i \(-0.434648\pi\)
−0.745902 + 0.666056i \(0.767981\pi\)
\(80\) 14.8759 + 3.50980i 1.66317 + 0.392407i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) −11.1254 12.0343i −1.22860 1.32897i
\(83\) −0.767481 3.36256i −0.0842420 0.369088i 0.915181 0.403042i \(-0.132047\pi\)
−0.999423 + 0.0339538i \(0.989190\pi\)
\(84\) 1.68386 5.01644i 0.183724 0.547338i
\(85\) −1.57502 + 6.90062i −0.170835 + 0.748477i
\(86\) 15.0389 8.64617i 1.62169 0.932340i
\(87\) −4.68663 + 1.44564i −0.502460 + 0.154988i
\(88\) 1.71356 10.9611i 0.182667 1.16846i
\(89\) −1.87081 + 6.06502i −0.198306 + 0.642891i 0.800732 + 0.599023i \(0.204444\pi\)
−0.999037 + 0.0438680i \(0.986032\pi\)
\(90\) 5.38797 + 0.413665i 0.567942 + 0.0436041i
\(91\) 0.412394 4.29158i 0.0432306 0.449880i
\(92\) −3.91418 12.8559i −0.408081 1.34032i
\(93\) −0.0372849 0.0950004i −0.00386627 0.00985108i
\(94\) 6.15916 + 7.75233i 0.635269 + 0.799592i
\(95\) −3.51117 + 23.2951i −0.360238 + 2.39002i
\(96\) −3.48648 4.45471i −0.355837 0.454657i
\(97\) 1.63133i 0.165636i 0.996565 + 0.0828182i \(0.0263921\pi\)
−0.996565 + 0.0828182i \(0.973608\pi\)
\(98\) −9.84417 + 1.04516i −0.994411 + 0.105577i
\(99\) 3.92241i 0.394217i
\(100\) 17.3301 8.26793i 1.73301 0.826793i
\(101\) −0.271646 + 1.80225i −0.0270297 + 0.179331i −0.998272 0.0587629i \(-0.981284\pi\)
0.971242 + 0.238094i \(0.0765225\pi\)
\(102\) 2.05111 1.62959i 0.203090 0.161353i
\(103\) 0.217030 + 0.552984i 0.0213846 + 0.0544871i 0.941167 0.337941i \(-0.109730\pi\)
−0.919783 + 0.392428i \(0.871635\pi\)
\(104\) −3.58769 2.89337i −0.351802 0.283719i
\(105\) −3.49504 9.48627i −0.341081 0.925765i
\(106\) −0.154514 + 2.01255i −0.0150078 + 0.195476i
\(107\) −1.34830 + 4.37109i −0.130345 + 0.422569i −0.997094 0.0761751i \(-0.975729\pi\)
0.866749 + 0.498745i \(0.166205\pi\)
\(108\) −1.46113 1.36569i −0.140597 0.131413i
\(109\) −9.79038 + 3.01993i −0.937749 + 0.289257i −0.725707 0.688004i \(-0.758487\pi\)
−0.212041 + 0.977261i \(0.568011\pi\)
\(110\) −10.5645 18.3756i −1.00728 1.75204i
\(111\) 2.52166 11.0481i 0.239345 1.04864i
\(112\) −4.85978 + 9.40120i −0.459206 + 0.888330i
\(113\) −1.11487 4.88454i −0.104878 0.459499i −0.999909 0.0134958i \(-0.995704\pi\)
0.895031 0.446004i \(-0.147153\pi\)
\(114\) 6.40235 5.91880i 0.599635 0.554347i
\(115\) −21.2136 14.4632i −1.97818 1.34870i
\(116\) 9.70477 1.42654i 0.901065 0.132451i
\(117\) −1.41122 0.814769i −0.130467 0.0753254i
\(118\) 0.423883 0.731101i 0.0390216 0.0673033i
\(119\) −4.36996 2.21868i −0.400593 0.203386i
\(120\) −10.5234 2.46260i −0.960646 0.224803i
\(121\) −3.62328 + 2.47031i −0.329389 + 0.224574i
\(122\) −11.0515 2.54366i −1.00055 0.230292i
\(123\) 7.88237 + 8.49518i 0.710729 + 0.765984i
\(124\) 0.0446920 + 0.199157i 0.00401346 + 0.0178848i
\(125\) 7.62747 15.8386i 0.682222 1.41665i
\(126\) −1.18419 + 3.54932i −0.105496 + 0.316199i
\(127\) −4.48504 9.31327i −0.397983 0.826419i −0.999618 0.0276483i \(-0.991198\pi\)
0.601635 0.798771i \(-0.294516\pi\)
\(128\) 5.53119 + 9.86944i 0.488893 + 0.872344i
\(129\) −10.6230 + 6.13317i −0.935299 + 0.539995i
\(130\) −8.80572 0.0160748i −0.772313 0.00140985i
\(131\) 5.21912 0.786655i 0.455996 0.0687304i 0.0829718 0.996552i \(-0.473559\pi\)
0.373024 + 0.927822i \(0.378321\pi\)
\(132\) −1.19752 + 7.75287i −0.104231 + 0.674801i
\(133\) −15.0558 6.27694i −1.30551 0.544280i
\(134\) −3.82646 + 1.49372i −0.330555 + 0.129038i
\(135\) −3.81040 0.285550i −0.327947 0.0245762i
\(136\) −4.55166 + 2.59477i −0.390301 + 0.222499i
\(137\) 3.84794 9.80439i 0.328752 0.837646i −0.666956 0.745097i \(-0.732403\pi\)
0.995708 0.0925489i \(-0.0295015\pi\)
\(138\) 2.78433 + 9.08543i 0.237018 + 0.773403i
\(139\) −5.19397 + 6.51303i −0.440547 + 0.552428i −0.951687 0.307069i \(-0.900652\pi\)
0.511140 + 0.859497i \(0.329223\pi\)
\(140\) 4.01197 + 19.8172i 0.339073 + 1.67486i
\(141\) −4.36518 5.47377i −0.367615 0.460974i
\(142\) −5.56650 + 8.13262i −0.467131 + 0.682475i
\(143\) 0.477653 + 6.37383i 0.0399433 + 0.533007i
\(144\) 2.47106 + 3.14545i 0.205921 + 0.262121i
\(145\) 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 \(0.833125\pi\)
\(150\) −12.2435 + 5.86867i −0.999681 + 0.479175i
\(151\) 11.2717 0.844700i 0.917281 0.0687407i 0.392284 0.919844i \(-0.371685\pi\)
0.524998 + 0.851104i \(0.324066\pi\)
\(152\) −14.4617 + 9.74421i −1.17300 + 0.790360i
\(153\) −1.44825 + 1.15494i −0.117084 + 0.0933712i
\(154\) 14.1194 4.00471i 1.13777 0.322709i
\(155\) 0.304884 + 0.243137i 0.0244888 + 0.0195292i
\(156\) 2.54061 + 2.04129i 0.203412 + 0.163434i
\(157\) 19.3562 + 7.59676i 1.54479 + 0.606287i 0.976304 0.216403i \(-0.0694324\pi\)
0.568490 + 0.822690i \(0.307528\pi\)
\(158\) −6.14189 4.91636i −0.488623 0.391125i
\(159\) 0.106660 1.42328i 0.00845871 0.112874i
\(160\) 20.0482 + 8.08028i 1.58495 + 0.638802i
\(161\) 13.2829 11.8155i 1.04684 0.931192i
\(162\) 1.03493 + 0.963800i 0.0813121 + 0.0757233i
\(163\) −0.565435 3.75142i −0.0442883 0.293834i 0.955712 0.294305i \(-0.0950881\pi\)
−1.00000 0.000471130i \(0.999850\pi\)
\(164\) −12.9864 19.1977i −1.01407 1.49909i
\(165\) 7.49392 + 12.9798i 0.583401 + 1.01048i
\(166\) −0.355629 4.86468i −0.0276021 0.377573i
\(167\) −5.13389 + 2.47235i −0.397273 + 0.191316i −0.621844 0.783141i \(-0.713616\pi\)
0.224571 + 0.974458i \(0.427902\pi\)
\(168\) 3.42424 6.65392i 0.264186 0.513361i
\(169\) −9.32017 4.48836i −0.716936 0.345258i
\(170\) −3.67404 + 9.31128i −0.281786 + 0.714143i
\(171\) −4.51950 + 4.19348i −0.345615 + 0.320684i
\(172\) 22.8694 8.87935i 1.74377 0.677044i
\(173\) 7.49417 + 10.9919i 0.569771 + 0.835701i 0.997677 0.0681225i \(-0.0217009\pi\)
−0.427906 + 0.903823i \(0.640748\pi\)
\(174\) −6.86046 + 1.02124i −0.520090 + 0.0774202i
\(175\) 19.5224 + 16.2508i 1.47575 + 1.22844i
\(176\) 4.73395 14.9584i 0.356835 1.12753i
\(177\) −0.298786 + 0.517513i −0.0224582 + 0.0388987i
\(178\) −3.90930 + 8.07999i −0.293015 + 0.605621i
\(179\) −1.04613 + 1.53439i −0.0781914 + 0.114686i −0.863342 0.504619i \(-0.831633\pi\)
0.785151 + 0.619305i \(0.212585\pi\)
\(180\) 7.44430 + 1.72773i 0.554865 + 0.128778i
\(181\) −11.8515 + 2.70502i −0.880913 + 0.201063i −0.638974 0.769229i \(-0.720641\pi\)
−0.241940 + 0.970291i \(0.577784\pi\)
\(182\) 1.49206 5.91179i 0.110599 0.438211i
\(183\) 7.81785 + 1.78437i 0.577912 + 0.131905i
\(184\) −2.72959 18.8080i −0.201228 1.38654i
\(185\) 12.7633 + 41.3776i 0.938376 + 3.04214i
\(186\) −0.0318590 0.140767i −0.00233602 0.0103216i
\(187\) 6.94297 + 2.14162i 0.507721 + 0.156611i
\(188\) 6.95689 + 12.1519i 0.507383 + 0.886271i
\(189\) 0.832765 2.51128i 0.0605747 0.182668i
\(190\) −9.87826 + 31.8182i −0.716644 + 2.30833i
\(191\) 19.3897 7.60989i 1.40299 0.550632i 0.461337 0.887225i \(-0.347370\pi\)
0.941650 + 0.336593i \(0.109275\pi\)
\(192\) −3.92388 6.97160i −0.283181 0.503132i
\(193\) 26.0086 + 3.92016i 1.87214 + 0.282179i 0.984103 0.177599i \(-0.0568330\pi\)
0.888034 + 0.459778i \(0.152071\pi\)
\(194\) −0.348012 + 2.28065i −0.0249858 + 0.163741i
\(195\) 6.22659 0.445896
\(196\) −13.9854 0.638886i −0.998958 0.0456347i
\(197\) 1.71045 0.121864 0.0609322 0.998142i \(-0.480593\pi\)
0.0609322 + 0.998142i \(0.480593\pi\)
\(198\) 0.836767 5.48364i 0.0594664 0.389706i
\(199\) −12.8381 1.93503i −0.910066 0.137170i −0.322709 0.946498i \(-0.604593\pi\)
−0.587357 + 0.809328i \(0.699832\pi\)
\(200\) 25.9918 7.86179i 1.83790 0.555912i
\(201\) 2.70378 1.06116i 0.190710 0.0748481i
\(202\) −0.764243 + 2.46165i −0.0537720 + 0.173201i
\(203\) 7.08299 + 10.8725i 0.497128 + 0.763102i
\(204\) 3.21515 1.84065i 0.225106 0.128871i
\(205\) −42.3144 13.0523i −2.95536 0.911609i
\(206\) 0.185447 + 0.819388i 0.0129207 + 0.0570895i
\(207\) −1.98054 6.42077i −0.137657 0.446274i
\(208\) −4.39846 4.81039i −0.304978 0.333540i
\(209\) 23.5766 + 5.38120i 1.63083 + 0.372225i
\(210\) −2.86247 14.0077i −0.197529 0.966623i
\(211\) 2.21653 0.505909i 0.152592 0.0348282i −0.145542 0.989352i \(-0.546493\pi\)
0.298135 + 0.954524i \(0.403636\pi\)
\(212\) −0.645352 + 2.78064i −0.0443230 + 0.190975i
\(213\) 3.92561 5.75781i 0.268978 0.394519i
\(214\) −2.81746 + 5.82329i −0.192597 + 0.398072i
\(215\) 23.4353 40.5912i 1.59828 2.76830i
\(216\) −1.75136 2.22098i −0.119165 0.151118i
\(217\) −0.214593 + 0.163880i −0.0145675 + 0.0111249i
\(218\) −14.3315 + 2.13338i −0.970652 + 0.144491i
\(219\) 7.92132 + 11.6184i 0.535273 + 0.785102i
\(220\) −10.8494 27.9434i −0.731466 1.88394i
\(221\) 2.21273 2.05311i 0.148844 0.138107i
\(222\) 5.88224 14.9076i 0.394790 1.00053i
\(223\) 5.50869 + 2.65284i 0.368889 + 0.177648i 0.609139 0.793063i \(-0.291515\pi\)
−0.240250 + 0.970711i \(0.577229\pi\)
\(224\) −8.79967 + 12.1064i −0.587953 + 0.808895i
\(225\) 8.64990 4.16557i 0.576660 0.277705i
\(226\) −0.516596 7.06658i −0.0343635 0.470062i
\(227\) 4.82908 + 8.36421i 0.320517 + 0.555152i 0.980595 0.196045i \(-0.0628100\pi\)
−0.660078 + 0.751197i \(0.729477\pi\)
\(228\) 10.2133 6.90886i 0.676395 0.457550i
\(229\) −0.404978 2.68685i −0.0267617 0.177552i 0.971457 0.237216i \(-0.0762351\pi\)
−0.998218 + 0.0596643i \(0.980997\pi\)
\(230\) −26.5719 24.7455i −1.75210 1.63167i
\(231\) −9.97870 + 2.84998i −0.656550 + 0.187515i
\(232\) 13.8719 + 0.0759700i 0.910734 + 0.00498767i
\(233\) −0.742278 + 9.90501i −0.0486282 + 0.648899i 0.918632 + 0.395113i \(0.129295\pi\)
−0.967261 + 0.253785i \(0.918324\pi\)
\(234\) −1.79912 1.44013i −0.117612 0.0941441i
\(235\) 24.9029 + 9.77368i 1.62449 + 0.637564i
\(236\) 0.748567 0.931675i 0.0487276 0.0606469i
\(237\) 4.34931 + 3.46846i 0.282518 + 0.225301i
\(238\) −5.63602 4.03403i −0.365329 0.261487i
\(239\) 7.03314 5.60874i 0.454936 0.362799i −0.369050 0.929410i \(-0.620317\pi\)
0.823986 + 0.566610i \(0.191745\pi\)
\(240\) −14.1866 5.68773i −0.915743 0.367142i
\(241\) −17.7244 + 1.32826i −1.14173 + 0.0855609i −0.632139 0.774855i \(-0.717823\pi\)
−0.509592 + 0.860416i \(0.670204\pi\)
\(242\) −5.59245 + 2.68062i −0.359496 + 0.172316i
\(243\) −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
\(248\) 0.0199945 + 0.287962i 0.00126965 + 0.0182856i
\(249\) 0.257746 + 3.43939i 0.0163340 + 0.217962i
\(250\) 14.0423 20.5157i 0.888112 1.29753i
\(251\) 15.3687 + 19.2718i 0.970065 + 1.21642i 0.976295 + 0.216442i \(0.0694453\pi\)
−0.00623059 + 0.999981i \(0.501983\pi\)
\(252\) −2.41271 + 4.70944i −0.151986 + 0.296667i
\(253\) −16.4326 + 20.6058i −1.03311 + 1.29547i
\(254\) −4.28342 13.9770i −0.268766 0.876997i
\(255\) 2.58591 6.58880i 0.161936 0.412607i
\(256\) 5.62733 + 14.9778i 0.351708 + 0.936110i
\(257\) 8.12965 + 0.609233i 0.507114 + 0.0380029i 0.325831 0.945428i \(-0.394356\pi\)
0.181283 + 0.983431i \(0.441975\pi\)
\(258\) −16.1596 + 6.30816i −1.00605 + 0.392729i
\(259\) −29.9388 + 1.61227i −1.86031 + 0.100181i
\(260\) −12.3072 1.90100i −0.763263 0.117895i
\(261\) 4.84975 0.730982i 0.300192 0.0452467i
\(262\) 7.46430 + 0.0136261i 0.461146 + 0.000841821i
\(263\) −12.4791 + 7.20482i −0.769495 + 0.444268i −0.832695 0.553733i \(-0.813203\pi\)
0.0631992 + 0.998001i \(0.479870\pi\)
\(264\) −3.32809 + 10.5833i −0.204830 + 0.651356i
\(265\) 2.36628 + 4.91364i 0.145360 + 0.301842i
\(266\) −19.7095 11.9872i −1.20847 0.734983i
\(267\) 2.75386 5.71845i 0.168534 0.349964i
\(268\) −5.66816 + 1.27197i −0.346238 + 0.0776977i
\(269\) 4.87674 + 5.25588i 0.297340 + 0.320457i 0.863997 0.503498i \(-0.167954\pi\)
−0.566656 + 0.823954i \(0.691763\pi\)
\(270\) −5.26614 1.21208i −0.320487 0.0737648i
\(271\) 6.41362 4.37273i 0.389600 0.265625i −0.352640 0.935759i \(-0.614716\pi\)
0.742240 + 0.670135i \(0.233764\pi\)
\(272\) −6.91690 + 2.65656i −0.419398 + 0.161078i
\(273\) −1.04741 + 4.18218i −0.0633924 + 0.253117i
\(274\) 7.47111 12.8860i 0.451346 0.778469i
\(275\) −32.6125 18.8289i −1.96661 1.13542i
\(276\) 1.95439 + 13.2957i 0.117640 + 0.800307i
\(277\) 18.7233 + 12.7653i 1.12497 + 0.766994i 0.975112 0.221713i \(-0.0711648\pi\)
0.149862 + 0.988707i \(0.452117\pi\)
\(278\) −8.65076 + 7.99739i −0.518838 + 0.479652i
\(279\) 0.0227094 + 0.0994964i 0.00135958 + 0.00595669i
\(280\) 1.38124 + 28.5610i 0.0825451 + 1.70684i
\(281\) 1.80216 7.89579i 0.107508 0.471024i −0.892300 0.451442i \(-0.850910\pi\)
0.999808 0.0195811i \(-0.00623324\pi\)
\(282\) −4.93494 8.58372i −0.293872 0.511153i
\(283\) −5.74734 + 1.77282i −0.341644 + 0.105383i −0.460829 0.887489i \(-0.652448\pi\)
0.119185 + 0.992872i \(0.461972\pi\)
\(284\) −9.51708 + 10.1822i −0.564735 + 0.604200i
\(285\) 6.94390 22.5116i 0.411321 1.33347i
\(286\) −0.691957 + 9.01271i −0.0409163 + 0.532933i
\(287\) 15.8847 26.2255i 0.937644 1.54804i
\(288\) 2.78359 + 4.92459i 0.164025 + 0.290184i
\(289\) 4.95720 + 12.6307i 0.291600 + 0.742985i
\(290\) 20.7512 16.4866i 1.21855 0.968128i
\(291\) 0.243137 1.61311i 0.0142529 0.0945621i
\(292\) −12.1098 25.3830i −0.708674 1.48543i
\(293\) 15.4177i 0.900713i −0.892849 0.450356i \(-0.851297\pi\)
0.892849 0.450356i \(-0.148703\pi\)
\(294\) 9.88999 + 0.433707i 0.576796 + 0.0252943i
\(295\) 2.28337i 0.132943i
\(296\) −16.1780 + 27.6700i −0.940324 + 1.60828i
\(297\) −0.584604 + 3.87860i −0.0339222 + 0.225059i
\(298\) −6.31697 7.95096i −0.365932 0.460587i
\(299\) 4.00024 + 10.1924i 0.231340 + 0.589444i
\(300\) −18.3688 + 5.59267i −1.06052 + 0.322893i
\(301\) 23.3215 + 22.5688i 1.34423 + 1.30084i
\(302\) 15.9384 + 1.22368i 0.917154 + 0.0704151i
\(303\) 0.537223 1.74163i 0.0308627 0.100054i
\(304\) −22.2966 + 10.5376i −1.27880 + 0.604373i
\(305\) −29.2796 + 9.03155i −1.67654 + 0.517145i
\(306\) −2.27108 + 1.30568i −0.129829 + 0.0746410i
\(307\) 4.22531 18.5123i 0.241151 1.05655i −0.698820 0.715298i \(-0.746291\pi\)
0.939971 0.341254i \(-0.110852\pi\)
\(308\) 20.5936 2.58662i 1.17343 0.147387i
\(309\) −0.132188 0.579154i −0.00751992 0.0329469i
\(310\) 0.374368 + 0.404953i 0.0212627 + 0.0229998i
\(311\) 5.10374 + 3.47967i 0.289406 + 0.197314i 0.699317 0.714812i \(-0.253488\pi\)
−0.409910 + 0.912126i \(0.634440\pi\)
\(312\) 3.11638 + 3.39577i 0.176431 + 0.192248i
\(313\) 9.53539 + 5.50526i 0.538972 + 0.311176i 0.744662 0.667441i \(-0.232611\pi\)
−0.205690 + 0.978617i \(0.565944\pi\)
\(314\) 25.4400 + 14.7498i 1.43566 + 0.832377i
\(315\) 2.04215 + 9.90123i 0.115062 + 0.557871i
\(316\) −7.53775 8.18348i −0.424031 0.460357i
\(317\) 6.17791 4.21203i 0.346986 0.236571i −0.377268 0.926104i \(-0.623136\pi\)
0.724254 + 0.689533i \(0.242184\pi\)
\(318\) 0.452743 1.96704i 0.0253886 0.110306i
\(319\) −13.0849 14.1021i −0.732611 0.789567i
\(320\) 26.3042 + 15.5734i 1.47045 + 0.870578i
\(321\) 1.98472 4.12132i 0.110776 0.230029i
\(322\) 21.0905 13.6848i 1.17533 0.762623i
\(323\) −4.95517 10.2895i −0.275713 0.572524i
\(324\) 1.24126 + 1.56821i 0.0689590 + 0.0871225i
\(325\) −13.5487 + 7.82232i −0.751544 + 0.433904i
\(326\) 0.00979420 5.36522i 0.000542451 0.297152i
\(327\) 10.1311 1.52702i 0.560253 0.0844445i
\(328\) −14.0599 29.6094i −0.776328 1.63491i
\(329\) −10.7537 + 15.0823i −0.592871 + 0.831515i
\(330\) 7.70774 + 19.7449i 0.424297 + 1.08692i
\(331\) 8.99879 + 0.674366i 0.494618 + 0.0370665i 0.319704 0.947517i \(-0.396416\pi\)
0.174914 + 0.984584i \(0.444035\pi\)
\(332\) 0.540604 6.87684i 0.0296695 0.377416i
\(333\) −4.14012 + 10.5489i −0.226877 + 0.578074i
\(334\) −7.70477 + 2.36121i −0.421586 + 0.129200i
\(335\) −6.91984 + 8.67721i −0.378071 + 0.474087i
\(336\) 6.20667 8.57189i 0.338602 0.467635i
\(337\) −5.92746 7.43280i −0.322889 0.404890i 0.593722 0.804670i \(-0.297658\pi\)
−0.916611 + 0.399780i \(0.869087\pi\)
\(338\) −12.0724 8.26313i −0.656651 0.449455i
\(339\) 0.374410 + 4.99615i 0.0203351 + 0.271354i
\(340\) −7.12279 + 12.2337i −0.386288 + 0.663464i
\(341\) 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
\(346\) 8.13217 + 16.9658i 0.437188 + 0.912086i
\(347\) −33.0692 + 2.47819i −1.77525 + 0.133036i −0.921680 0.387950i \(-0.873183\pi\)
−0.853565 + 0.520986i \(0.825564\pi\)
\(348\) −9.80899 0.0358127i −0.525817 0.00191976i
\(349\) 23.6969 18.8976i 1.26846 1.01157i 0.269647 0.962959i \(-0.413093\pi\)
0.998818 0.0486078i \(-0.0154785\pi\)
\(350\) 23.8261 + 26.8838i 1.27356 + 1.43700i
\(351\) 1.27402 + 1.01600i 0.0680023 + 0.0542301i
\(352\) 9.80929 19.9024i 0.522837 1.06080i
\(353\) 0.136471 + 0.0535610i 0.00726363 + 0.00285077i 0.368970 0.929441i \(-0.379710\pi\)
−0.361706 + 0.932292i \(0.617806\pi\)
\(354\) −0.528113 + 0.659759i −0.0280689 + 0.0350658i
\(355\) −1.98991 + 26.5535i −0.105613 + 1.40931i
\(356\) −7.18903 + 10.4621i −0.381018 + 0.554490i
\(357\) 3.99047 + 2.84521i 0.211198 + 0.150585i
\(358\) −1.78985 + 1.92195i −0.0945967 + 0.101578i
\(359\) −3.19845 21.2204i −0.168808 1.11997i −0.899391 0.437144i \(-0.855990\pi\)
0.730583 0.682823i \(-0.239248\pi\)
\(360\) 10.0388 + 4.00352i 0.529090 + 0.211004i
\(361\) −9.50559 16.4642i −0.500294 0.866535i
\(362\) −17.1458 + 1.25343i −0.901163 + 0.0658787i
\(363\) 3.95099 1.90270i 0.207373 0.0998657i
\(364\) 3.34711 7.94656i 0.175436 0.416513i
\(365\) −48.4104 23.3132i −2.53392 1.22027i
\(366\) 10.5489 + 4.16239i 0.551401 + 0.217572i
\(367\) 10.3881 9.63875i 0.542255 0.503139i −0.360812 0.932638i \(-0.617501\pi\)
0.903067 + 0.429500i \(0.141310\pi\)
\(368\) 0.196255 26.8764i 0.0102305 1.40103i
\(369\) −6.52819 9.57510i −0.339844 0.498460i
\(370\) 9.01640 + 60.5699i 0.468740 + 3.14888i
\(371\) −3.69836 + 0.762794i −0.192009 + 0.0396023i
\(372\) −0.0145100 0.203594i −0.000752306 0.0105558i
\(373\) 4.07707 7.06170i 0.211103 0.365641i −0.740957 0.671552i \(-0.765628\pi\)
0.952060 + 0.305912i \(0.0989612\pi\)
\(374\) 9.24962 + 4.47520i 0.478286 + 0.231407i
\(375\) −9.90290 + 14.5249i −0.511383 + 0.750062i
\(376\) 7.13358 + 18.4729i 0.367886 + 0.952667i
\(377\) −7.79173 + 1.77841i −0.401295 + 0.0915929i
\(378\) 1.69996 3.33319i 0.0874366 0.171441i
\(379\) 34.3931 + 7.85000i 1.76666 + 0.403228i 0.977495 0.210959i \(-0.0676586\pi\)
0.789161 + 0.614187i \(0.210516\pi\)
\(380\) −20.5979 + 42.3755i −1.05665 + 2.17382i
\(381\) 3.04687 + 9.87771i 0.156096 + 0.506051i
\(382\) 28.7308 6.50246i 1.46999 0.332695i
\(383\) 1.70007 + 0.524401i 0.0868693 + 0.0267956i 0.337885 0.941187i \(-0.390288\pi\)
−0.251016 + 0.967983i \(0.580765\pi\)
\(384\) −3.99845 10.5836i −0.204045 0.540092i
\(385\) 27.5761 28.4957i 1.40541 1.45228i
\(386\) 35.5245 + 11.0289i 1.80815 + 0.561357i
\(387\) 11.4184 4.48140i 0.580430 0.227802i
\(388\) −0.973062 + 3.11418i −0.0493997 + 0.158098i
\(389\) 38.4585 + 5.79669i 1.94992 + 0.293904i 0.999837 0.0180795i \(-0.00575520\pi\)
0.950088 + 0.311983i \(0.100993\pi\)
\(390\) 8.70497 + 1.32832i 0.440793 + 0.0672621i
\(391\) 12.4466 0.629454
\(392\) −19.4157 3.87669i −0.980643 0.195802i
\(393\) −5.27807 −0.266243
\(394\) 2.39126 + 0.364890i 0.120470 + 0.0183829i
\(395\) −21.0192 3.16813i −1.05759 0.159406i
\(396\) 2.33965 7.48780i 0.117572 0.376276i
\(397\) 7.30868 2.86844i 0.366812 0.143963i −0.174774 0.984609i \(-0.555919\pi\)
0.541586 + 0.840646i \(0.317824\pi\)
\(398\) −17.5352 5.44397i −0.878960 0.272882i
\(399\) 13.9521 + 8.45079i 0.698481 + 0.423068i
\(400\) 38.0145 5.44619i 1.90073 0.272309i
\(401\) −17.6390 5.44093i −0.880852 0.271707i −0.178845 0.983877i \(-0.557236\pi\)
−0.702007 + 0.712170i \(0.747712\pi\)
\(402\) 4.00634 0.906731i 0.199818 0.0452236i
\(403\) −0.0490185 0.158914i −0.00244179 0.00791608i
\(404\) −1.59358 + 3.27843i −0.0792835 + 0.163108i
\(405\) 3.72528 + 0.850271i 0.185111 + 0.0422503i
\(406\) 7.58280 + 16.7112i 0.376328 + 0.829361i
\(407\) 43.3351 9.89096i 2.14804 0.490277i
\(408\) 4.88755 1.88740i 0.241970 0.0934401i
\(409\) 6.35596 9.32249i 0.314282 0.460967i −0.636299 0.771442i \(-0.719536\pi\)
0.950582 + 0.310475i \(0.100488\pi\)
\(410\) −56.3723 27.2744i −2.78403 1.34699i
\(411\) −5.26623 + 9.12138i −0.259764 + 0.449924i
\(412\) 0.0844604 + 1.18509i 0.00416107 + 0.0583852i
\(413\) 1.53366 + 0.384101i 0.0754665 + 0.0189004i
\(414\) −1.39912 9.39894i −0.0687630 0.461933i
\(415\) −7.42401 10.8890i −0.364430 0.534521i
\(416\) −5.12298 7.66339i −0.251175 0.375729i
\(417\) 6.10668 5.66617i 0.299045 0.277473i
\(418\) 31.8128 + 12.5527i 1.55602 + 0.613971i
\(419\) −30.5166 14.6960i −1.49083 0.717947i −0.501709 0.865036i \(-0.667295\pi\)
−0.989123 + 0.147090i \(0.953009\pi\)
\(420\) −1.01355 20.1938i −0.0494563 0.985359i
\(421\) −25.1032 + 12.0891i −1.22346 + 0.589185i −0.930272 0.366871i \(-0.880429\pi\)
−0.293183 + 0.956056i \(0.594715\pi\)
\(422\) 3.20671 0.234423i 0.156100 0.0114116i
\(423\) 3.50061 + 6.06323i 0.170205 + 0.294804i
\(424\) −1.49542 + 3.74974i −0.0726238 + 0.182104i
\(425\) 2.65057 + 17.5854i 0.128572 + 0.853018i
\(426\) 6.71643 7.21214i 0.325412 0.349430i
\(427\) −1.14087 21.1853i −0.0552107 1.02523i
\(428\) −5.18117 + 7.54009i −0.250441 + 0.364464i
\(429\) 0.477653 6.37383i 0.0230613 0.307732i
\(430\) 41.4226 51.7483i 1.99758 2.49552i
\(431\) −16.6220 6.52367i −0.800656 0.314234i −0.0704971 0.997512i \(-0.522459\pi\)
−0.730159 + 0.683278i \(0.760554\pi\)
\(432\) −1.97465 3.47861i −0.0950055 0.167365i
\(433\) 25.9272 + 20.6762i 1.24598 + 0.993636i 0.999701 + 0.0244365i \(0.00777916\pi\)
0.246278 + 0.969199i \(0.420792\pi\)
\(434\) −0.334968 + 0.183330i −0.0160790 + 0.00880014i
\(435\) −14.6520 + 11.6846i −0.702509 + 0.560233i
\(436\) −20.4910 0.0748128i −0.981341 0.00358288i
\(437\) 41.3107 3.09581i 1.97616 0.148093i
\(438\) 8.59569 + 17.9328i 0.410718 + 0.856862i
\(439\) 12.1520 + 11.2754i 0.579984 + 0.538146i 0.914680 0.404180i \(-0.132443\pi\)
−0.334696 + 0.942326i \(0.608634\pi\)
\(440\) −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 −0.985569 0.169275i \(-0.945857\pi\)
0.242454 + 0.970163i \(0.422048\pi\)
\(444\) 11.4038 19.5865i 0.541201 0.929533i
\(445\) 1.81239 + 24.1846i 0.0859153 + 1.14646i
\(446\) 7.13538 + 4.88393i 0.337870 + 0.231261i
\(447\) 4.47703 + 5.61401i 0.211756 + 0.265534i
\(448\) −14.8849 + 15.0479i −0.703245 + 0.710948i
\(449\) −0.761979 + 0.955492i −0.0359600 + 0.0450924i −0.799486 0.600684i \(-0.794895\pi\)
0.763526 + 0.645777i \(0.223466\pi\)
\(450\) 12.9815 3.97832i 0.611952 0.187540i
\(451\) −16.6069 + 42.3137i −0.781988 + 1.99247i
\(452\) 0.785296 9.98950i 0.0369372 0.469867i
\(453\) −11.2717 0.844700i −0.529593 0.0396875i
\(454\) 4.96686 + 12.7236i 0.233106 + 0.597149i
\(455\) −4.52418 15.8406i −0.212097 0.742620i
\(456\) 15.7524 7.47998i 0.737676 0.350282i
\(457\) −12.0287 + 1.81303i −0.562679 + 0.0848101i −0.424222 0.905558i \(-0.639452\pi\)
−0.138457 + 0.990368i \(0.544214\pi\)
\(458\) 0.00701483 3.84269i 0.000327781 0.179557i
\(459\) 1.60421 0.926188i 0.0748779 0.0432308i
\(460\) −31.8693 40.2636i −1.48592 1.87730i
\(461\) −16.8636 35.0176i −0.785415 1.63093i −0.775801 0.630977i \(-0.782654\pi\)
−0.00961392 0.999954i \(-0.503060\pi\)
\(462\) −14.5585 + 1.85560i −0.677324 + 0.0863303i
\(463\) 3.00383 6.23751i 0.139600 0.289882i −0.819434 0.573173i \(-0.805712\pi\)
0.959034 + 0.283292i \(0.0914265\pi\)
\(464\) 19.3771 + 3.06550i 0.899561 + 0.142312i
\(465\) −0.265241 0.285862i −0.0123002 0.0132565i
\(466\) −3.15076 + 13.6892i −0.145956 + 0.634138i
\(467\) −6.05020 + 4.12496i −0.279970 + 0.190880i −0.695161 0.718854i \(-0.744667\pi\)
0.415191 + 0.909734i \(0.363715\pi\)
\(468\) −2.20800 2.39715i −0.102065 0.110808i
\(469\) −4.66414 6.10746i −0.215370 0.282016i
\(470\) 32.7300 + 18.9764i 1.50972 + 0.875318i
\(471\) −18.0078 10.3968i −0.829755 0.479059i
\(472\) 1.24527 1.14282i 0.0573184 0.0526025i
\(473\) −39.7533 27.1033i −1.82786 1.24621i
\(474\) 5.34055 + 5.77685i 0.245299 + 0.265340i
\(475\) 13.1713 + 57.7071i 0.604340 + 2.64779i
\(476\) −7.01876 6.84203i −0.321704 0.313604i
\(477\) −0.317598 + 1.39149i −0.0145418 + 0.0637119i
\(478\) 11.0291 6.34081i 0.504457 0.290022i
\(479\) 11.5623 3.56649i 0.528294 0.162957i −0.0191230 0.999817i \(-0.506087\pi\)
0.547417 + 0.836860i \(0.315611\pi\)
\(480\) −18.6200 10.9781i −0.849882 0.501078i
\(481\) 5.44303 17.6459i 0.248181 0.804582i
\(482\) −25.0627 1.92420i −1.14157 0.0876450i
\(483\) −14.8956 + 9.70381i −0.677771 + 0.441539i
\(484\) −8.39027 + 2.55455i −0.381376 + 0.116116i
\(485\) 2.27733 + 5.80255i 0.103408 + 0.263480i
\(486\) −0.879728 1.10728i −0.0399053 0.0502274i
\(487\) 4.82825 32.0334i 0.218789 1.45157i −0.562188 0.827010i \(-0.690040\pi\)
0.780977 0.624560i \(-0.214722\pi\)
\(488\) −19.5798 11.4478i −0.886336 0.518219i
\(489\) 3.79379i 0.171561i
\(490\) −33.5561 + 17.4600i −1.51591 + 0.788764i
\(491\) 11.3610i 0.512713i 0.966582 + 0.256357i \(0.0825221\pi\)
−0.966582 + 0.256357i \(0.917478\pi\)
\(492\) 9.98006 + 20.9188i 0.449936 + 0.943094i
\(493\) −1.35405 + 8.98356i −0.0609835 + 0.404599i
\(494\) 11.1245 8.83829i 0.500513 0.397653i
\(495\) −5.47567 13.9518i −0.246113 0.627086i
\(496\) −0.0334780 + 0.406845i −0.00150321 + 0.0182679i
\(497\) −17.5003 5.80329i −0.784997 0.260313i
\(498\) −0.373387 + 4.86335i −0.0167319 + 0.217932i
\(499\) −12.2833 + 39.8214i −0.549874 + 1.78265i 0.0695339 + 0.997580i \(0.477849\pi\)
−0.619408 + 0.785069i \(0.712627\pi\)
\(500\) 24.0082 25.6859i 1.07368 1.14871i
\(501\) 5.44504 1.67957i 0.243266 0.0750377i
\(502\) 17.3747 + 30.2211i 0.775471 + 1.34883i
\(503\) 2.07425 9.08786i 0.0924860 0.405208i −0.907401 0.420267i \(-0.861936\pi\)
0.999887 + 0.0150590i \(0.00479361\pi\)
\(504\) −4.37771 + 6.06924i −0.194999 + 0.270345i
\(505\) 1.54971 + 6.78972i 0.0689612 + 0.302139i
\(506\) −27.3690 + 25.3019i −1.21670 + 1.12481i
\(507\) 8.54712 + 5.82733i 0.379591 + 0.258801i
\(508\) −3.00663 20.4541i −0.133398 0.907504i
\(509\) 10.7607 + 6.21268i 0.476959 + 0.275372i 0.719148 0.694857i \(-0.244532\pi\)
−0.242189 + 0.970229i \(0.577866\pi\)
\(510\) 5.02078 8.65969i 0.222324 0.383458i
\(511\) 23.8021 28.5939i 1.05294 1.26492i
\(512\) 4.67198 + 22.1398i 0.206474 + 0.978452i
\(513\) 5.09403 3.47305i 0.224907 0.153339i
\(514\) 11.2355 + 2.58603i 0.495578 + 0.114065i
\(515\) 1.54393 + 1.66396i 0.0680337 + 0.0733228i
\(516\) −23.9374 + 5.37167i −1.05378 + 0.236475i
\(517\) 11.9151 24.7420i 0.524027 1.08815i
\(518\) −42.1994 4.13286i −1.85413 0.181587i
\(519\) −5.77220 11.9861i −0.253372 0.526132i
\(520\) −16.8004 5.28316i −0.736745 0.231682i
\(521\) −7.92159 + 4.57353i −0.347051 + 0.200370i −0.663386 0.748278i \(-0.730881\pi\)
0.316334 + 0.948648i \(0.397548\pi\)
\(522\) 6.93604 + 0.0126617i 0.303582 + 0.000554188i
\(523\) 20.1807 3.04175i 0.882440 0.133006i 0.307837 0.951439i \(-0.400395\pi\)
0.574602 + 0.818433i \(0.305157\pi\)
\(524\) 10.4324 + 1.61141i 0.455742 + 0.0703948i
\(525\) −16.8823 18.9789i −0.736802 0.828308i
\(526\) −18.9832 + 7.41039i −0.827707 + 0.323108i
\(527\) −0.188516 0.0141273i −0.00821188 0.000615395i
\(528\) −6.91051 + 14.0858i −0.300741 + 0.613005i
\(529\) −8.09186 + 20.6177i −0.351820 + 0.896423i
\(530\) 2.25991 + 7.37422i 0.0981642 + 0.320315i
\(531\) 0.372580 0.467201i 0.0161686 0.0202748i
\(532\) −24.9972 20.9631i −1.08377 0.908867i
\(533\) 11.7742 + 14.7644i 0.509997 + 0.639516i
\(534\) 5.06990 7.40709i 0.219396 0.320536i
\(535\) 1.30620 + 17.4300i 0.0564717 + 0.753563i
\(536\) −8.19561 + 0.569059i −0.353996 + 0.0245796i
\(537\) 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 \(0.734303\pi\)
\(542\) 9.89927 4.74500i 0.425210 0.203815i
\(543\) 12.1223 0.908439i 0.520216 0.0389848i
\(544\) −10.2368 + 2.23837i −0.438897 + 0.0959694i
\(545\) −30.6080 + 24.4091i −1.31110 + 1.04557i
\(546\) −2.35650 + 5.62338i −0.100849 + 0.240658i
\(547\) −1.81637 1.44850i −0.0776622 0.0619335i 0.583889 0.811833i \(-0.301530\pi\)
−0.661551 + 0.749900i \(0.730102\pi\)
\(548\) 13.1938 16.4212i 0.563611 0.701477i
\(549\) −7.46458 2.92963i −0.318581 0.125034i
\(550\) −41.5766 33.2806i −1.77283 1.41909i
\(551\) −2.25969 + 30.1534i −0.0962659 + 1.28458i
\(552\) −0.104080 + 19.0047i −0.00442995 + 0.808895i
\(553\) 5.66369 13.5849i 0.240845 0.577689i
\(554\) 23.4525 + 21.8406i 0.996402 + 0.927916i
\(555\) −6.45373 42.8177i −0.273946 1.81751i
\(556\) −13.8001 + 9.33514i −0.585255 + 0.395898i
\(557\) 3.45762 + 5.98877i 0.146504 + 0.253752i 0.929933 0.367729i \(-0.119865\pi\)
−0.783429 + 0.621481i \(0.786531\pi\)
\(558\) 0.0105229 + 0.143944i 0.000445469 + 0.00609362i
\(559\) −18.0090 + 8.67266i −0.761698 + 0.366815i
\(560\) −4.16189 + 40.2238i −0.175872 + 1.69977i
\(561\) −6.54623 3.15250i −0.276382 0.133099i
\(562\) 4.20389 10.6541i 0.177330 0.449416i
\(563\) 9.00209 8.35272i 0.379393 0.352025i −0.467308 0.884095i \(-0.654776\pi\)
0.846701 + 0.532069i \(0.178585\pi\)
\(564\) −5.06804 13.0531i −0.213403 0.549634i
\(565\) −10.7843 15.8177i −0.453700 0.665456i
\(566\) −8.41316 + 1.25238i −0.353632 + 0.0526413i
\(567\) −1.19775 + 2.35911i −0.0503008 + 0.0990733i
\(568\) −15.4773 + 12.2047i −0.649414 + 0.512097i
\(569\) −2.40769 + 4.17024i −0.100936 + 0.174825i −0.912070 0.410034i \(-0.865517\pi\)
0.811135 + 0.584859i \(0.198850\pi\)
\(570\) 14.5102 29.9905i 0.607765 1.25617i
\(571\) −19.8113 + 29.0578i −0.829076 + 1.21603i 0.144915 + 0.989444i \(0.453709\pi\)
−0.973991 + 0.226587i \(0.927243\pi\)
\(572\) −2.89006 + 12.4524i −0.120839 + 0.520663i
\(573\) −20.3073 + 4.63501i −0.848350 + 0.193630i
\(574\) 27.8020 33.2753i 1.16043 1.38888i
\(575\) −62.8922 14.3547i −2.62279 0.598634i
\(576\) 2.84099 + 7.47856i 0.118374 + 0.311606i
\(577\) −7.28994 23.6334i −0.303484 0.983871i −0.970960 0.239240i \(-0.923102\pi\)
0.667476 0.744631i \(-0.267375\pi\)
\(578\) 4.23581 + 18.7157i 0.176186 + 0.778470i
\(579\) −25.1338 7.75275i −1.04452 0.322193i
\(580\) 32.5279 18.6220i 1.35065 0.773235i
\(581\) 8.56261 3.15473i 0.355237 0.130880i
\(582\) 0.684038 2.20331i 0.0283543 0.0913300i
\(583\) 5.21135 2.04530i 0.215832 0.0847078i
\(584\) −11.5150 38.0695i −0.476492 1.57533i
\(585\) −6.15705 0.928026i −0.254563 0.0383691i
\(586\) 3.28906 21.5544i 0.135870 0.890406i
\(587\) 27.0283 1.11558 0.557788 0.829983i \(-0.311650\pi\)
0.557788 + 0.829983i \(0.311650\pi\)
\(588\) 13.7340 + 2.71617i 0.566380 + 0.112013i
\(589\) −0.629202 −0.0259258
\(590\) 0.487112 3.19223i 0.0200541 0.131422i
\(591\) −1.69134 0.254929i −0.0695726 0.0104864i
\(592\) −28.5201 + 35.2322i −1.17217 + 1.44804i
\(593\) 18.2172 7.14971i 0.748089 0.293603i 0.0394949 0.999220i \(-0.487425\pi\)
0.708594 + 0.705617i \(0.249330\pi\)
\(594\) −1.64472 + 5.29768i −0.0674835 + 0.217367i
\(595\) −18.6410 1.79128i −0.764206 0.0734354i
\(596\) −7.13514 12.4633i −0.292267 0.510516i
\(597\) 12.4063 + 3.82683i 0.507755 + 0.156622i
\(598\) 3.41810 + 15.1027i 0.139777 + 0.617596i
\(599\) 3.86963 + 12.5450i 0.158109 + 0.512576i 0.999617 0.0276678i \(-0.00880805\pi\)
−0.841508 + 0.540244i \(0.818332\pi\)
\(600\) −26.8733 + 3.90010i −1.09710 + 0.159221i
\(601\) 18.1765 + 4.14866i 0.741434 + 0.169227i 0.576523 0.817081i \(-0.304409\pi\)
0.164911 + 0.986308i \(0.447266\pi\)
\(602\) 27.7895 + 36.5270i 1.13262 + 1.48873i
\(603\) −2.83174 + 0.646326i −0.115317 + 0.0263204i
\(604\) 22.0214 + 5.11090i 0.896038 + 0.207959i
\(605\) −9.43926 + 13.8448i −0.383760 + 0.562873i
\(606\) 1.12260 2.32025i 0.0456024 0.0942538i
\(607\) −6.94469 + 12.0286i −0.281876 + 0.488224i −0.971847 0.235613i \(-0.924290\pi\)
0.689970 + 0.723837i \(0.257623\pi\)
\(608\) −33.4193 + 9.97536i −1.35533 + 0.404554i
\(609\) −5.38341 11.8068i −0.218147 0.478434i
\(610\) −42.8605 + 6.38018i −1.73537 + 0.258326i
\(611\) −6.42677 9.42634i −0.259999 0.381349i
\(612\) −3.45358 + 1.34090i −0.139603 + 0.0542026i
\(613\) −6.39128 + 5.93024i −0.258142 + 0.239520i −0.798617 0.601839i \(-0.794435\pi\)
0.540476 + 0.841360i \(0.318244\pi\)
\(614\) 9.85634 24.9794i 0.397769 1.00809i
\(615\) 39.8964 + 19.2131i 1.60878 + 0.774747i
\(616\) 29.3423 + 0.777056i 1.18224 + 0.0313085i
\(617\) 20.0111 9.63684i 0.805616 0.387964i 0.0147025 0.999892i \(-0.495320\pi\)
0.790914 + 0.611928i \(0.209606\pi\)
\(618\) −0.0612522 0.837875i −0.00246392 0.0337043i
\(619\) −7.16302 12.4067i −0.287906 0.498668i 0.685404 0.728163i \(-0.259626\pi\)
−0.973310 + 0.229495i \(0.926292\pi\)
\(620\) 0.436990 + 0.646001i 0.0175499 + 0.0259440i
\(621\) 1.00146 + 6.64424i 0.0401871 + 0.266624i
\(622\) 6.39287 + 5.95347i 0.256331 + 0.238712i
\(623\) −16.5488 2.85093i −0.663014 0.114220i
\(624\) 3.63238 + 5.41221i 0.145412 + 0.216662i
\(625\) 1.43254 19.1159i 0.0573014 0.764635i
\(626\) 12.1563 + 9.73071i 0.485865 + 0.388917i
\(627\) −22.5112 8.83500i −0.899011 0.352836i
\(628\) 32.4193 + 26.0477i 1.29367 + 1.03942i
\(629\) −16.4118 13.0880i −0.654383 0.521853i
\(630\) 0.742755 + 14.2779i 0.0295921 + 0.568844i
\(631\) 0.851719 0.679223i 0.0339064 0.0270395i −0.606390 0.795167i \(-0.707383\pi\)
0.640296 + 0.768128i \(0.278812\pi\)
\(632\) −8.79222 13.0488i −0.349736 0.519053i
\(633\) −2.26718 + 0.169901i −0.0901122 + 0.00675298i
\(634\) 9.53547 4.57061i 0.378702 0.181522i
\(635\) −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
\(640\) 33.4519 + 27.3835i 1.32230 + 1.08243i
\(641\) 2.46733 + 32.9243i 0.0974537 + 1.30043i 0.804793 + 0.593556i \(0.202276\pi\)
−0.707339 + 0.706874i \(0.750105\pi\)
\(642\) 3.65390 5.33833i 0.144208 0.210687i
\(643\) 10.8171 + 13.5642i 0.426583 + 0.534918i 0.947952 0.318413i \(-0.103150\pi\)
−0.521369 + 0.853331i \(0.674579\pi\)
\(644\) 32.4046 14.6325i 1.27692 0.576602i
\(645\) −29.2234 + 36.6450i −1.15067 + 1.44289i
\(646\) −4.73241 15.4421i −0.186194 0.607563i
\(647\) 14.3801 36.6399i 0.565340 1.44046i −0.307070 0.951687i \(-0.599349\pi\)
0.872410 0.488775i \(-0.162556\pi\)
\(648\) 1.40078 + 2.45720i 0.0550277 + 0.0965278i
\(649\) −2.33737 0.175162i −0.0917497 0.00687569i
\(650\) −20.6102 + 8.04551i −0.808398 + 0.315571i
\(651\) 0.236621 0.130066i 0.00927391 0.00509770i
\(652\) 1.15826 7.49866i 0.0453608 0.293670i
\(653\) 20.1078 3.03077i 0.786880 0.118603i 0.256704 0.966490i \(-0.417364\pi\)
0.530177 + 0.847887i \(0.322126\pi\)
\(654\) 14.4894 + 0.0264504i 0.566580 + 0.00103429i
\(655\) 17.4659 10.0840i 0.682451 0.394013i
\(656\) −13.3396 44.3943i −0.520824 1.73331i
\(657\) −6.10121 12.6693i −0.238031 0.494276i
\(658\) −18.2515 + 18.7915i −0.711519 + 0.732567i
\(659\) −10.6971 + 22.2127i −0.416699 + 0.865283i 0.581946 + 0.813228i \(0.302292\pi\)
−0.998644 + 0.0520557i \(0.983423\pi\)
\(660\) 6.56347 + 29.2483i 0.255483 + 1.13849i
\(661\) −4.27733 4.60986i −0.166369 0.179303i 0.644365 0.764718i \(-0.277122\pi\)
−0.810733 + 0.585415i \(0.800931\pi\)
\(662\) 12.4367 + 2.86250i 0.483367 + 0.111254i
\(663\) −2.49401 + 1.70039i −0.0968595 + 0.0660377i
\(664\) 2.22282 9.49871i 0.0862621 0.368622i
\(665\) −62.3154 1.30880i −2.41649 0.0507531i
\(666\) −8.03841 + 13.8644i −0.311482 + 0.537236i
\(667\) −28.5398 16.4775i −1.10507 0.638010i
\(668\) −11.2752 + 1.65739i −0.436252 + 0.0641263i
\(669\) −5.05177 3.44424i −0.195313 0.133162i
\(670\) −11.5253 + 10.6548i −0.445260 + 0.411631i
\(671\) 6.99903 + 30.6648i 0.270195 + 1.18380i
\(672\) 10.5058 10.6597i 0.405268 0.411207i
\(673\) 5.84863 25.6245i 0.225448 0.987753i −0.727853 0.685733i \(-0.759482\pi\)
0.953301 0.302020i \(-0.0976611\pi\)
\(674\) −6.70113 11.6558i −0.258118 0.448964i
\(675\) −9.17414 + 2.82985i −0.353113 + 0.108921i
\(676\) −15.1148 14.1275i −0.581338 0.543366i
\(677\) 13.1399 42.5987i 0.505009 1.63720i −0.240460 0.970659i \(-0.577298\pi\)
0.745469 0.666540i \(-0.232226\pi\)
\(678\) −0.542393 + 7.06465i −0.0208305 + 0.271316i
\(679\) −4.28045 + 0.553520i −0.164269 + 0.0212422i
\(680\) −12.5677 + 15.5835i −0.481949 + 0.597602i
\(681\) −3.52852 8.99052i −0.135213 0.344518i
\(682\) 0.443248 0.352156i 0.0169728 0.0134848i
\(683\) −5.31088 + 35.2354i −0.203215 + 1.34824i 0.621819 + 0.783161i \(0.286394\pi\)
−0.825034 + 0.565083i \(0.808844\pi\)
\(684\) −11.1290 + 5.30947i −0.425527 + 0.203013i
\(685\) 40.2454i 1.53770i
\(686\) −6.08260 25.4755i −0.232235 0.972660i
\(687\) 2.71720i 0.103668i
\(688\) 48.9536 3.30929i 1.86634 0.126166i
\(689\) 0.346642 2.29982i 0.0132060 0.0876160i
\(690\) 22.5870 + 28.4295i 0.859871 + 1.08229i
\(691\) −7.29502 18.5874i −0.277516 0.707098i −0.999879 0.0155841i \(-0.995039\pi\)
0.722363 0.691514i \(-0.243056\pi\)
\(692\) 7.74972 + 25.4535i 0.294600 + 0.967598i
\(693\) 10.2920 1.33090i 0.390961 0.0505566i
\(694\) −46.7604 3.59006i −1.77500 0.136277i
\(695\) −9.38249 + 30.4173i −0.355898 + 1.15379i
\(696\) −13.7056 2.14262i −0.519511 0.0812158i
\(697\) 20.5131 6.32744i 0.776988 0.239669i
\(698\) 37.1604 21.3642i 1.40654 0.808648i
\(699\) 2.21025 9.68375i 0.0835994 0.366273i
\(700\) 27.5745 + 42.6672i 1.04222 + 1.61267i
\(701\) −8.54621 37.4434i −0.322786 1.41422i −0.832573 0.553916i \(-0.813133\pi\)
0.509787 0.860301i \(-0.329724\pi\)
\(702\) 1.56438 + 1.69219i 0.0590437 + 0.0638675i
\(703\) −57.7266 39.3573i −2.17720 1.48439i
\(704\) 17.9595 25.7316i 0.676873 0.969796i
\(705\) −23.1681 13.3761i −0.872561 0.503773i
\(706\) 0.179365 + 0.103993i 0.00675049 + 0.00391384i
\(707\) −4.82110 0.101257i −0.181316 0.00380816i
\(708\) −0.879065 + 0.809701i −0.0330373 + 0.0304304i
\(709\) −23.6886 + 16.1506i −0.889643 + 0.606548i −0.919536 0.393005i \(-0.871435\pi\)
0.0298938 + 0.999553i \(0.490483\pi\)
\(710\) −8.44662 + 36.6981i −0.316996 + 1.37726i
\(711\) −3.78379 4.07795i −0.141903 0.152935i
\(712\) −12.2824 + 13.0927i −0.460301 + 0.490670i
\(713\) 0.297530 0.617828i 0.0111426 0.0231378i
\(714\) 4.97183 + 4.82898i 0.186066 + 0.180720i
\(715\) 10.5968 + 22.0046i 0.396299 + 0.822924i
\(716\) −2.91228 + 2.30512i −0.108837 + 0.0861464i
\(717\) −7.79052 + 4.49786i −0.290942 + 0.167976i
\(718\) 0.0554021 30.3490i 0.00206759 1.13262i
\(719\) −30.5983 + 4.61195i −1.14112 + 0.171997i −0.692291 0.721618i \(-0.743399\pi\)
−0.448834 + 0.893615i \(0.648160\pi\)
\(720\) 13.1805 + 7.73861i 0.491207 + 0.288401i
\(721\) −1.37734 + 0.757097i −0.0512947 + 0.0281958i
\(722\) −9.77681 25.0452i −0.363855 0.932087i
\(723\) 17.7244 + 1.32826i 0.659179 + 0.0493986i
\(724\) −24.2377 1.90538i −0.900789 0.0708129i
\(725\) 17.2027 43.8318i 0.638893 1.62787i
\(726\) 5.92951 1.81716i 0.220065 0.0674413i
\(727\) −13.7264 + 17.2124i −0.509085 + 0.638373i −0.968252 0.249977i \(-0.919577\pi\)
0.459166 + 0.888350i \(0.348148\pi\)
\(728\) 6.37461 10.3955i 0.236259 0.385283i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) −62.7058 42.9200i −2.32085 1.58854i
\(731\) 1.69801 + 22.6583i 0.0628031 + 0.838049i
\(732\) 13.8598 + 8.06955i 0.512272 + 0.298259i
\(733\) −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
\(738\) −7.08396 14.7789i −0.260764 0.544020i
\(739\) −21.2347 + 1.59132i −0.781131 + 0.0585377i −0.459325 0.888268i \(-0.651909\pi\)
−0.321806 + 0.946806i \(0.604290\pi\)
\(740\) −0.316185 + 86.6021i −0.0116232 + 3.18356i
\(741\) −7.85476 + 6.26396i −0.288552 + 0.230112i
\(742\) −5.33315 + 0.277438i −0.195786 + 0.0101851i
\(743\) 2.04799 + 1.63322i 0.0751335 + 0.0599170i 0.660336 0.750970i \(-0.270414\pi\)
−0.585203 + 0.810887i \(0.698985\pi\)
\(744\) 0.0231473 0.287726i 0.000848622 0.0105485i
\(745\) −25.5410 10.0241i −0.935749 0.367254i
\(746\) 7.20634 9.00271i 0.263843 0.329613i
\(747\) 0.257746 3.43939i 0.00943045 0.125841i
\(748\) 11.9766 + 8.22969i 0.437906 + 0.300907i
\(749\) −11.9268 2.05468i −0.435796 0.0750764i
\(750\) −16.9432 + 18.1937i −0.618676 + 0.664338i
\(751\) 7.84244 + 52.0312i 0.286175 + 1.89864i 0.419807 + 0.907613i \(0.362098\pi\)
−0.133632 + 0.991031i \(0.542664\pi\)
\(752\) 6.03214 + 27.3475i 0.219969 + 0.997260i
\(753\) −12.3248 21.3471i −0.449139 0.777932i
\(754\) −11.2725 + 0.824064i −0.410519 + 0.0300106i
\(755\) 38.9138 18.7399i 1.41622 0.682014i
\(756\) 3.08767 4.29724i 0.112297 0.156289i
\(757\) −4.05396 1.95228i −0.147344 0.0709570i 0.358759 0.933430i \(-0.383200\pi\)
−0.506103 + 0.862473i \(0.668914\pi\)
\(758\) 46.4080 + 18.3116i 1.68561 + 0.665108i
\(759\) 19.3201 17.9265i 0.701277 0.650690i
\(760\) −37.8364 + 54.8481i −1.37247 + 1.98955i
\(761\) 26.0878 + 38.2637i 0.945681 + 1.38706i 0.921936 + 0.387342i \(0.126607\pi\)
0.0237449 + 0.999718i \(0.492441\pi\)
\(762\) 2.15241 + 14.4593i 0.0779735 + 0.523806i
\(763\) −11.2460 24.6643i −0.407131 0.892909i
\(764\) 41.5537 2.96150i 1.50336 0.107143i
\(765\) −3.53904 + 6.12980i −0.127954 + 0.221623i
\(766\) 2.26487 + 1.09580i 0.0818332 + 0.0395930i
\(767\) −0.548542 + 0.804564i −0.0198067 + 0.0290511i
\(768\) −3.33216 15.6492i −0.120239 0.564691i
\(769\) −41.2038 + 9.40451i −1.48585 + 0.339135i −0.887016 0.461739i \(-0.847226\pi\)
−0.598833 + 0.800874i \(0.704369\pi\)
\(770\) 44.6312 33.9551i 1.60840 1.22366i
\(771\) −7.94805 1.81409i −0.286242 0.0653329i
\(772\) 47.3115 + 22.9972i 1.70278 + 0.827687i