Properties

Label 384.2.v.a.157.15
Level $384$
Weight $2$
Character 384.157
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 157.15
Character \(\chi\) \(=\) 384.157
Dual form 384.2.v.a.181.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.145323 + 1.40673i) q^{2} +(-0.0980171 + 0.995185i) q^{3} +(-1.95776 - 0.408859i) q^{4} +(3.58870 - 1.91820i) q^{5} +(-1.38571 - 0.282506i) q^{6} +(-0.464401 - 2.33470i) q^{7} +(0.859660 - 2.69462i) q^{8} +(-0.980785 - 0.195090i) q^{9} +O(q^{10})\) \(q+(-0.145323 + 1.40673i) q^{2} +(-0.0980171 + 0.995185i) q^{3} +(-1.95776 - 0.408859i) q^{4} +(3.58870 - 1.91820i) q^{5} +(-1.38571 - 0.282506i) q^{6} +(-0.464401 - 2.33470i) q^{7} +(0.859660 - 2.69462i) q^{8} +(-0.980785 - 0.195090i) q^{9} +(2.17686 + 5.32708i) q^{10} +(2.45695 - 2.99380i) q^{11} +(0.598784 - 1.90826i) q^{12} +(0.816051 - 1.52672i) q^{13} +(3.35177 - 0.314000i) q^{14} +(1.55721 + 3.75943i) q^{15} +(3.66567 + 1.60090i) q^{16} +(0.917578 - 2.21523i) q^{17} +(0.416969 - 1.35135i) q^{18} +(-0.208613 - 0.687706i) q^{19} +(-7.81009 + 2.28811i) q^{20} +(2.36898 - 0.233324i) q^{21} +(3.85440 + 3.89132i) q^{22} +(-6.95064 + 4.64427i) q^{23} +(2.59738 + 1.11964i) q^{24} +(6.42141 - 9.61032i) q^{25} +(2.02909 + 1.36983i) q^{26} +(0.290285 - 0.956940i) q^{27} +(-0.0453765 + 4.76066i) q^{28} +(-5.23271 + 4.29437i) q^{29} +(-5.51479 + 1.64424i) q^{30} +(-5.24169 + 5.24169i) q^{31} +(-2.78473 + 4.92395i) q^{32} +(2.73856 + 2.73856i) q^{33} +(2.98288 + 1.61270i) q^{34} +(-6.14501 - 7.48772i) q^{35} +(1.84038 + 0.782943i) q^{36} +(8.27040 + 2.50880i) q^{37} +(0.997731 - 0.193523i) q^{38} +(1.43939 + 0.961767i) q^{39} +(-2.08376 - 11.3192i) q^{40} +(3.81647 + 5.71175i) q^{41} +(-0.0160432 + 3.36641i) q^{42} +(0.834759 + 8.47545i) q^{43} +(-6.03416 + 4.85660i) q^{44} +(-3.89396 + 1.18122i) q^{45} +(-5.52313 - 10.4526i) q^{46} +(2.77406 + 1.14905i) q^{47} +(-1.95249 + 3.49110i) q^{48} +(1.23201 - 0.510313i) q^{49} +(12.5859 + 10.4298i) q^{50} +(2.11462 + 1.13029i) q^{51} +(-2.22185 + 2.65531i) q^{52} +(-5.60232 - 4.59771i) q^{53} +(1.30397 + 0.547417i) q^{54} +(3.07454 - 15.4567i) q^{55} +(-6.69036 - 0.755665i) q^{56} +(0.704842 - 0.140202i) q^{57} +(-5.28058 - 7.98506i) q^{58} +(-0.745894 - 1.39547i) q^{59} +(-1.51157 - 7.99676i) q^{60} +(-0.755696 - 0.0744296i) q^{61} +(-6.61189 - 8.13536i) q^{62} +2.38044i q^{63} +(-6.52197 - 4.63292i) q^{64} -7.04430i q^{65} +(-4.25038 + 3.45443i) q^{66} +(1.26499 + 0.124590i) q^{67} +(-2.70211 + 3.96173i) q^{68} +(-3.94062 - 7.37239i) q^{69} +(11.4262 - 7.55622i) q^{70} +(0.459307 - 0.0913619i) q^{71} +(-1.36884 + 2.47513i) q^{72} +(-0.858965 + 4.31831i) q^{73} +(-4.73107 + 11.2696i) q^{74} +(8.93464 + 7.33247i) q^{75} +(0.127241 + 1.43166i) q^{76} +(-8.13062 - 4.34591i) q^{77} +(-1.56212 + 1.88506i) q^{78} +(14.1140 - 5.84620i) q^{79} +(16.2258 - 1.28635i) q^{80} +(0.923880 + 0.382683i) q^{81} +(-8.58949 + 4.53868i) q^{82} +(-9.33541 + 2.83187i) q^{83} +(-4.73329 - 0.511784i) q^{84} +(-0.956340 - 9.70988i) q^{85} +(-12.0440 - 0.0573975i) q^{86} +(-3.76080 - 5.62843i) q^{87} +(-5.95501 - 9.19419i) q^{88} +(2.54044 + 1.69747i) q^{89} +(-1.09577 - 5.64940i) q^{90} +(-3.94342 - 1.19622i) q^{91} +(15.5066 - 6.25055i) q^{92} +(-4.70267 - 5.73022i) q^{93} +(-2.01954 + 3.73536i) q^{94} +(-2.06781 - 2.06781i) q^{95} +(-4.62729 - 3.25395i) q^{96} +(6.99279 - 6.99279i) q^{97} +(0.538833 + 1.80726i) q^{98} +(-2.99380 + 2.45695i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{27}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.145323 + 1.40673i −0.102759 + 0.994706i
\(3\) −0.0980171 + 0.995185i −0.0565902 + 0.574570i
\(4\) −1.95776 0.408859i −0.978881 0.204429i
\(5\) 3.58870 1.91820i 1.60491 0.857845i 0.606905 0.794774i \(-0.292411\pi\)
0.998009 0.0630703i \(-0.0200892\pi\)
\(6\) −1.38571 0.282506i −0.565713 0.115333i
\(7\) −0.464401 2.33470i −0.175527 0.882433i −0.963702 0.266982i \(-0.913974\pi\)
0.788175 0.615452i \(-0.211026\pi\)
\(8\) 0.859660 2.69462i 0.303936 0.952693i
\(9\) −0.980785 0.195090i −0.326928 0.0650301i
\(10\) 2.17686 + 5.32708i 0.688384 + 1.68457i
\(11\) 2.45695 2.99380i 0.740797 0.902664i −0.257172 0.966366i \(-0.582791\pi\)
0.997969 + 0.0637020i \(0.0202907\pi\)
\(12\) 0.598784 1.90826i 0.172854 0.550867i
\(13\) 0.816051 1.52672i 0.226332 0.423437i −0.742965 0.669330i \(-0.766581\pi\)
0.969297 + 0.245893i \(0.0790812\pi\)
\(14\) 3.35177 0.314000i 0.895799 0.0839200i
\(15\) 1.55721 + 3.75943i 0.402069 + 0.970681i
\(16\) 3.66567 + 1.60090i 0.916417 + 0.400224i
\(17\) 0.917578 2.21523i 0.222545 0.537272i −0.772689 0.634785i \(-0.781089\pi\)
0.995234 + 0.0975130i \(0.0310888\pi\)
\(18\) 0.416969 1.35135i 0.0982806 0.318515i
\(19\) −0.208613 0.687706i −0.0478592 0.157771i 0.929754 0.368182i \(-0.120020\pi\)
−0.977613 + 0.210411i \(0.932520\pi\)
\(20\) −7.81009 + 2.28811i −1.74639 + 0.511636i
\(21\) 2.36898 0.233324i 0.516953 0.0509154i
\(22\) 3.85440 + 3.89132i 0.821762 + 0.829632i
\(23\) −6.95064 + 4.64427i −1.44931 + 0.968397i −0.452239 + 0.891897i \(0.649375\pi\)
−0.997070 + 0.0765003i \(0.975625\pi\)
\(24\) 2.59738 + 1.11964i 0.530189 + 0.228546i
\(25\) 6.42141 9.61032i 1.28428 1.92206i
\(26\) 2.02909 + 1.36983i 0.397938 + 0.268646i
\(27\) 0.290285 0.956940i 0.0558653 0.184163i
\(28\) −0.0453765 + 4.76066i −0.00857536 + 0.899680i
\(29\) −5.23271 + 4.29437i −0.971689 + 0.797445i −0.979277 0.202527i \(-0.935085\pi\)
0.00758779 + 0.999971i \(0.497585\pi\)
\(30\) −5.51479 + 1.64424i −1.00686 + 0.300195i
\(31\) −5.24169 + 5.24169i −0.941435 + 0.941435i −0.998377 0.0569428i \(-0.981865\pi\)
0.0569428 + 0.998377i \(0.481865\pi\)
\(32\) −2.78473 + 4.92395i −0.492276 + 0.870439i
\(33\) 2.73856 + 2.73856i 0.476722 + 0.476722i
\(34\) 2.98288 + 1.61270i 0.511559 + 0.276576i
\(35\) −6.14501 7.48772i −1.03870 1.26565i
\(36\) 1.84038 + 0.782943i 0.306730 + 0.130491i
\(37\) 8.27040 + 2.50880i 1.35964 + 0.412444i 0.884121 0.467259i \(-0.154758\pi\)
0.475524 + 0.879703i \(0.342258\pi\)
\(38\) 0.997731 0.193523i 0.161853 0.0313935i
\(39\) 1.43939 + 0.961767i 0.230486 + 0.154006i
\(40\) −2.08376 11.3192i −0.329471 1.78972i
\(41\) 3.81647 + 5.71175i 0.596032 + 0.892025i 0.999739 0.0228635i \(-0.00727831\pi\)
−0.403707 + 0.914889i \(0.632278\pi\)
\(42\) −0.0160432 + 3.36641i −0.00247552 + 0.519448i
\(43\) 0.834759 + 8.47545i 0.127300 + 1.29249i 0.820457 + 0.571708i \(0.193719\pi\)
−0.693158 + 0.720786i \(0.743781\pi\)
\(44\) −6.03416 + 4.85660i −0.909683 + 0.732160i
\(45\) −3.89396 + 1.18122i −0.580478 + 0.176086i
\(46\) −5.52313 10.4526i −0.814342 1.54115i
\(47\) 2.77406 + 1.14905i 0.404638 + 0.167607i 0.575714 0.817651i \(-0.304724\pi\)
−0.171075 + 0.985258i \(0.554724\pi\)
\(48\) −1.95249 + 3.49110i −0.281817 + 0.503897i
\(49\) 1.23201 0.510313i 0.176001 0.0729019i
\(50\) 12.5859 + 10.4298i 1.77992 + 1.47499i
\(51\) 2.11462 + 1.13029i 0.296106 + 0.158272i
\(52\) −2.22185 + 2.65531i −0.308115 + 0.368226i
\(53\) −5.60232 4.59771i −0.769538 0.631544i 0.165452 0.986218i \(-0.447092\pi\)
−0.934990 + 0.354674i \(0.884592\pi\)
\(54\) 1.30397 + 0.547417i 0.177448 + 0.0744940i
\(55\) 3.07454 15.4567i 0.414570 2.08419i
\(56\) −6.69036 0.755665i −0.894036 0.100980i
\(57\) 0.704842 0.140202i 0.0933587 0.0185702i
\(58\) −5.28058 7.98506i −0.693374 1.04849i
\(59\) −0.745894 1.39547i −0.0971071 0.181675i 0.828677 0.559727i \(-0.189094\pi\)
−0.925784 + 0.378052i \(0.876594\pi\)
\(60\) −1.51157 7.99676i −0.195142 1.03238i
\(61\) −0.755696 0.0744296i −0.0967570 0.00952973i 0.0495228 0.998773i \(-0.484230\pi\)
−0.146280 + 0.989243i \(0.546730\pi\)
\(62\) −6.61189 8.13536i −0.839710 1.03319i
\(63\) 2.38044i 0.299907i
\(64\) −6.52197 4.63292i −0.815246 0.579115i
\(65\) 7.04430i 0.873738i
\(66\) −4.25038 + 3.45443i −0.523185 + 0.425211i
\(67\) 1.26499 + 0.124590i 0.154543 + 0.0152211i 0.174993 0.984570i \(-0.444010\pi\)
−0.0204499 + 0.999791i \(0.506510\pi\)
\(68\) −2.70211 + 3.96173i −0.327680 + 0.480430i
\(69\) −3.94062 7.37239i −0.474395 0.887531i
\(70\) 11.4262 7.55622i 1.36569 0.903141i
\(71\) 0.459307 0.0913619i 0.0545097 0.0108427i −0.167760 0.985828i \(-0.553653\pi\)
0.222270 + 0.974985i \(0.428653\pi\)
\(72\) −1.36884 + 2.47513i −0.161319 + 0.291697i
\(73\) −0.858965 + 4.31831i −0.100534 + 0.505420i 0.897402 + 0.441213i \(0.145452\pi\)
−0.997937 + 0.0642066i \(0.979548\pi\)
\(74\) −4.73107 + 11.2696i −0.549976 + 1.31007i
\(75\) 8.93464 + 7.33247i 1.03168 + 0.846680i
\(76\) 0.127241 + 1.43166i 0.0145955 + 0.164223i
\(77\) −8.13062 4.34591i −0.926570 0.495262i
\(78\) −1.56212 + 1.88506i −0.176875 + 0.213441i
\(79\) 14.1140 5.84620i 1.58795 0.657749i 0.598300 0.801272i \(-0.295843\pi\)
0.989647 + 0.143523i \(0.0458431\pi\)
\(80\) 16.2258 1.28635i 1.81410 0.143818i
\(81\) 0.923880 + 0.382683i 0.102653 + 0.0425204i
\(82\) −8.58949 + 4.53868i −0.948550 + 0.501214i
\(83\) −9.33541 + 2.83187i −1.02469 + 0.310838i −0.757521 0.652811i \(-0.773590\pi\)
−0.267173 + 0.963648i \(0.586090\pi\)
\(84\) −4.73329 0.511784i −0.516444 0.0558403i
\(85\) −0.956340 9.70988i −0.103730 1.05318i
\(86\) −12.0440 0.0573975i −1.29873 0.00618933i
\(87\) −3.76080 5.62843i −0.403200 0.603431i
\(88\) −5.95501 9.19419i −0.634806 0.980103i
\(89\) 2.54044 + 1.69747i 0.269286 + 0.179931i 0.682881 0.730530i \(-0.260727\pi\)
−0.413594 + 0.910461i \(0.635727\pi\)
\(90\) −1.09577 5.64940i −0.115505 0.595499i
\(91\) −3.94342 1.19622i −0.413383 0.125398i
\(92\) 15.5066 6.25055i 1.61667 0.651664i
\(93\) −4.70267 5.73022i −0.487644 0.594196i
\(94\) −2.01954 + 3.73536i −0.208300 + 0.385273i
\(95\) −2.06781 2.06781i −0.212153 0.212153i
\(96\) −4.62729 3.25395i −0.472271 0.332105i
\(97\) 6.99279 6.99279i 0.710010 0.710010i −0.256527 0.966537i \(-0.582578\pi\)
0.966537 + 0.256527i \(0.0825782\pi\)
\(98\) 0.538833 + 1.80726i 0.0544304 + 0.182560i
\(99\) −2.99380 + 2.45695i −0.300888 + 0.246932i
\(100\) −16.5009 + 16.1893i −1.65009 + 1.61893i
\(101\) −3.44088 + 11.3431i −0.342381 + 1.12868i 0.601633 + 0.798773i \(0.294517\pi\)
−0.944014 + 0.329906i \(0.892983\pi\)
\(102\) −1.89731 + 2.81044i −0.187862 + 0.278275i
\(103\) 3.34569 5.00718i 0.329661 0.493372i −0.629202 0.777242i \(-0.716618\pi\)
0.958863 + 0.283870i \(0.0916183\pi\)
\(104\) −3.41242 3.51141i −0.334615 0.344323i
\(105\) 8.05398 5.38150i 0.785988 0.525180i
\(106\) 7.28187 7.21279i 0.707277 0.700568i
\(107\) 18.0955 1.78225i 1.74936 0.172297i 0.827925 0.560838i \(-0.189521\pi\)
0.921431 + 0.388542i \(0.127021\pi\)
\(108\) −0.959562 + 1.75478i −0.0923339 + 0.168853i
\(109\) 5.59968 + 18.4597i 0.536352 + 1.76812i 0.634476 + 0.772942i \(0.281216\pi\)
−0.0981238 + 0.995174i \(0.531284\pi\)
\(110\) 21.2966 + 6.57125i 2.03055 + 0.626544i
\(111\) −3.30736 + 7.98467i −0.313920 + 0.757871i
\(112\) 2.03527 9.30169i 0.192315 0.878927i
\(113\) −5.13713 12.4021i −0.483260 1.16669i −0.958052 0.286595i \(-0.907477\pi\)
0.474792 0.880098i \(-0.342523\pi\)
\(114\) 0.0947961 + 1.01190i 0.00887847 + 0.0947727i
\(115\) −16.0351 + 29.9996i −1.49528 + 2.79748i
\(116\) 12.0002 6.26792i 1.11419 0.581962i
\(117\) −1.09822 + 1.33819i −0.101531 + 0.123715i
\(118\) 2.07144 0.846476i 0.190692 0.0779244i
\(119\) −5.59801 1.11351i −0.513169 0.102076i
\(120\) 11.4689 0.964251i 1.04696 0.0880237i
\(121\) −0.780244 3.92255i −0.0709313 0.356596i
\(122\) 0.214522 1.05224i 0.0194219 0.0952655i
\(123\) −6.05832 + 3.23824i −0.546261 + 0.291982i
\(124\) 12.4051 8.11887i 1.11401 0.729096i
\(125\) 2.61575 26.5581i 0.233960 2.37543i
\(126\) −3.34863 0.345932i −0.298319 0.0308181i
\(127\) −6.64223 −0.589403 −0.294701 0.955589i \(-0.595220\pi\)
−0.294701 + 0.955589i \(0.595220\pi\)
\(128\) 7.46504 8.50136i 0.659823 0.751421i
\(129\) −8.51646 −0.749832
\(130\) 9.90941 + 1.02370i 0.869113 + 0.0897842i
\(131\) −0.156907 + 1.59310i −0.0137090 + 0.139190i −0.999603 0.0281822i \(-0.991028\pi\)
0.985894 + 0.167372i \(0.0535281\pi\)
\(132\) −4.24176 6.48113i −0.369198 0.564110i
\(133\) −1.50871 + 0.806421i −0.130821 + 0.0699255i
\(134\) −0.359096 + 1.76138i −0.0310211 + 0.152160i
\(135\) −0.793858 3.99099i −0.0683244 0.343490i
\(136\) −5.18040 4.37687i −0.444215 0.375313i
\(137\) 5.04237 + 1.00299i 0.430799 + 0.0856912i 0.405727 0.913994i \(-0.367018\pi\)
0.0250721 + 0.999686i \(0.492018\pi\)
\(138\) 10.9436 4.47201i 0.931581 0.380683i
\(139\) −9.77771 + 11.9142i −0.829334 + 1.01055i 0.170349 + 0.985384i \(0.445510\pi\)
−0.999683 + 0.0251630i \(0.991990\pi\)
\(140\) 8.96905 + 17.1716i 0.758023 + 1.45127i
\(141\) −1.41543 + 2.64808i −0.119200 + 0.223008i
\(142\) 0.0617735 + 0.659397i 0.00518391 + 0.0553354i
\(143\) −2.56571 6.19417i −0.214555 0.517983i
\(144\) −3.28291 2.28527i −0.273576 0.190439i
\(145\) −10.5411 + 25.4486i −0.875394 + 2.11339i
\(146\) −5.94985 1.83588i −0.492413 0.151938i
\(147\) 0.387098 + 1.27609i 0.0319273 + 0.105250i
\(148\) −15.1657 8.29306i −1.24662 0.681685i
\(149\) −21.1707 + 2.08513i −1.73437 + 0.170820i −0.915272 0.402837i \(-0.868024\pi\)
−0.819096 + 0.573657i \(0.805524\pi\)
\(150\) −11.6132 + 11.5030i −0.948213 + 0.939218i
\(151\) 1.51218 1.01041i 0.123060 0.0822259i −0.492517 0.870303i \(-0.663923\pi\)
0.615577 + 0.788077i \(0.288923\pi\)
\(152\) −2.03244 0.0290596i −0.164853 0.00235705i
\(153\) −1.33212 + 1.99365i −0.107695 + 0.161177i
\(154\) 7.29507 10.8060i 0.587853 0.870773i
\(155\) −8.75623 + 28.8654i −0.703317 + 2.31853i
\(156\) −2.42475 2.47142i −0.194135 0.197872i
\(157\) −4.19016 + 3.43878i −0.334411 + 0.274444i −0.786580 0.617488i \(-0.788150\pi\)
0.452169 + 0.891932i \(0.350650\pi\)
\(158\) 6.17293 + 20.7041i 0.491092 + 1.64713i
\(159\) 5.12469 5.12469i 0.406415 0.406415i
\(160\) −0.548443 + 23.0122i −0.0433583 + 1.81928i
\(161\) 14.0709 + 14.0709i 1.10894 + 1.10894i
\(162\) −0.672592 + 1.24403i −0.0528438 + 0.0977405i
\(163\) −6.53545 7.96347i −0.511896 0.623747i 0.451357 0.892344i \(-0.350940\pi\)
−0.963253 + 0.268596i \(0.913440\pi\)
\(164\) −5.13644 12.7426i −0.401088 0.995033i
\(165\) 15.0810 + 4.57476i 1.17405 + 0.356144i
\(166\) −2.62701 13.5439i −0.203896 1.05121i
\(167\) −8.68745 5.80477i −0.672255 0.449187i 0.172022 0.985093i \(-0.444970\pi\)
−0.844277 + 0.535906i \(0.819970\pi\)
\(168\) 1.40780 6.58407i 0.108614 0.507972i
\(169\) 5.55746 + 8.31733i 0.427497 + 0.639795i
\(170\) 13.7981 + 0.0657574i 1.05827 + 0.00504336i
\(171\) 0.0704401 + 0.715191i 0.00538669 + 0.0546920i
\(172\) 1.83100 16.9342i 0.139613 1.29122i
\(173\) −6.17933 + 1.87448i −0.469806 + 0.142514i −0.516306 0.856404i \(-0.672693\pi\)
0.0465000 + 0.998918i \(0.485193\pi\)
\(174\) 8.46419 4.47248i 0.641669 0.339058i
\(175\) −25.4193 10.5290i −1.92152 0.795919i
\(176\) 13.7991 7.04095i 1.04015 0.530732i
\(177\) 1.46186 0.605522i 0.109880 0.0455139i
\(178\) −2.75706 + 3.32703i −0.206650 + 0.249371i
\(179\) −0.882040 0.471460i −0.0659267 0.0352386i 0.438104 0.898924i \(-0.355650\pi\)
−0.504031 + 0.863686i \(0.668150\pi\)
\(180\) 8.10641 0.720469i 0.604216 0.0537006i
\(181\) −4.31589 3.54196i −0.320798 0.263272i 0.460187 0.887822i \(-0.347782\pi\)
−0.780985 + 0.624550i \(0.785282\pi\)
\(182\) 2.25583 5.37347i 0.167213 0.398308i
\(183\) 0.148142 0.744762i 0.0109510 0.0550544i
\(184\) 6.53936 + 22.7218i 0.482088 + 1.67508i
\(185\) 34.4923 6.86095i 2.53593 0.504427i
\(186\) 8.74426 5.78264i 0.641160 0.424004i
\(187\) −4.37750 8.18973i −0.320115 0.598893i
\(188\) −4.96115 3.38377i −0.361829 0.246787i
\(189\) −2.36898 0.233324i −0.172318 0.0169718i
\(190\) 3.20934 2.60834i 0.232830 0.189229i
\(191\) 17.4199i 1.26046i 0.776410 + 0.630229i \(0.217039\pi\)
−0.776410 + 0.630229i \(0.782961\pi\)
\(192\) 5.24987 6.03646i 0.378877 0.435644i
\(193\) 5.39374i 0.388250i 0.980977 + 0.194125i \(0.0621868\pi\)
−0.980977 + 0.194125i \(0.937813\pi\)
\(194\) 8.82074 + 10.8532i 0.633292 + 0.779211i
\(195\) 7.01038 + 0.690462i 0.502024 + 0.0494450i
\(196\) −2.62062 + 0.495356i −0.187187 + 0.0353826i
\(197\) −12.4716 23.3327i −0.888563 1.66239i −0.739077 0.673621i \(-0.764738\pi\)
−0.149487 0.988764i \(-0.547762\pi\)
\(198\) −3.02119 4.56851i −0.214706 0.324670i
\(199\) 21.2643 4.22974i 1.50739 0.299838i 0.628856 0.777521i \(-0.283523\pi\)
0.878532 + 0.477683i \(0.158523\pi\)
\(200\) −20.3759 25.5649i −1.44080 1.80771i
\(201\) −0.247981 + 1.24668i −0.0174912 + 0.0879342i
\(202\) −15.4566 6.48879i −1.08752 0.456550i
\(203\) 12.4561 + 10.2225i 0.874249 + 0.717478i
\(204\) −3.67780 3.07742i −0.257498 0.215463i
\(205\) 24.6524 + 13.1770i 1.72180 + 0.920321i
\(206\) 6.55753 + 5.43413i 0.456885 + 0.378614i
\(207\) 7.72314 3.19903i 0.536795 0.222348i
\(208\) 5.43550 4.29005i 0.376884 0.297462i
\(209\) −2.57140 1.06511i −0.177868 0.0736752i
\(210\) 6.39987 + 12.1118i 0.441633 + 0.835794i
\(211\) 14.6983 4.45868i 1.01187 0.306948i 0.259541 0.965732i \(-0.416429\pi\)
0.752332 + 0.658784i \(0.228929\pi\)
\(212\) 9.08821 + 11.2918i 0.624181 + 0.775523i
\(213\) 0.0459020 + 0.466051i 0.00314515 + 0.0319333i
\(214\) −0.122546 + 25.7144i −0.00837710 + 1.75780i
\(215\) 19.2533 + 28.8146i 1.31306 + 1.96514i
\(216\) −2.32905 1.60485i −0.158471 0.109196i
\(217\) 14.6720 + 9.80352i 0.996000 + 0.665506i
\(218\) −26.7815 + 5.19461i −1.81387 + 0.351824i
\(219\) −4.21332 1.27810i −0.284710 0.0863658i
\(220\) −12.3388 + 29.0036i −0.831884 + 1.95542i
\(221\) −2.63325 3.20863i −0.177132 0.215836i
\(222\) −10.7516 5.81290i −0.721601 0.390137i
\(223\) −10.8220 10.8220i −0.724698 0.724698i 0.244861 0.969558i \(-0.421258\pi\)
−0.969558 + 0.244861i \(0.921258\pi\)
\(224\) 12.7892 + 4.21482i 0.854512 + 0.281615i
\(225\) −8.17291 + 8.17291i −0.544860 + 0.544860i
\(226\) 18.1929 5.42422i 1.21018 0.360814i
\(227\) 2.97786 2.44386i 0.197647 0.162205i −0.530364 0.847770i \(-0.677945\pi\)
0.728011 + 0.685565i \(0.240445\pi\)
\(228\) −1.43724 0.0136991i −0.0951833 0.000907246i
\(229\) −1.34856 + 4.44562i −0.0891155 + 0.293775i −0.990158 0.139957i \(-0.955303\pi\)
0.901042 + 0.433732i \(0.142803\pi\)
\(230\) −39.8710 26.9166i −2.62901 1.77483i
\(231\) 5.12192 7.66550i 0.336998 0.504353i
\(232\) 7.07335 + 17.7919i 0.464388 + 1.16809i
\(233\) −6.27986 + 4.19607i −0.411407 + 0.274893i −0.744003 0.668176i \(-0.767075\pi\)
0.332596 + 0.943069i \(0.392075\pi\)
\(234\) −1.72287 1.73937i −0.112627 0.113706i
\(235\) 12.1594 1.19759i 0.793191 0.0781225i
\(236\) 0.889733 + 3.03696i 0.0579167 + 0.197690i
\(237\) 4.43464 + 14.6190i 0.288061 + 0.949609i
\(238\) 2.37993 7.71306i 0.154268 0.499963i
\(239\) −0.385680 + 0.931115i −0.0249476 + 0.0602288i −0.935862 0.352366i \(-0.885377\pi\)
0.910915 + 0.412594i \(0.135377\pi\)
\(240\) −0.310257 + 16.2738i −0.0200270 + 1.05047i
\(241\) −1.46802 3.54411i −0.0945634 0.228296i 0.869519 0.493899i \(-0.164429\pi\)
−0.964082 + 0.265603i \(0.914429\pi\)
\(242\) 5.63135 0.527554i 0.361997 0.0339125i
\(243\) −0.471397 + 0.881921i −0.0302401 + 0.0565753i
\(244\) 1.44904 + 0.454689i 0.0927655 + 0.0291085i
\(245\) 3.44241 4.19459i 0.219928 0.267983i
\(246\) −3.67491 8.99300i −0.234304 0.573373i
\(247\) −1.22018 0.242708i −0.0776380 0.0154432i
\(248\) 9.61829 + 18.6304i 0.610762 + 1.18303i
\(249\) −1.90320 9.56803i −0.120610 0.606349i
\(250\) 36.9799 + 7.53915i 2.33882 + 0.476818i
\(251\) 10.4434 5.58213i 0.659183 0.352341i −0.107649 0.994189i \(-0.534332\pi\)
0.766832 + 0.641848i \(0.221832\pi\)
\(252\) 0.973263 4.66033i 0.0613098 0.293573i
\(253\) −3.17335 + 32.2195i −0.199507 + 2.02562i
\(254\) 0.965268 9.34381i 0.0605663 0.586283i
\(255\) 9.75686 0.610998
\(256\) 10.8743 + 11.7367i 0.679641 + 0.733545i
\(257\) −26.9794 −1.68293 −0.841465 0.540312i \(-0.818306\pi\)
−0.841465 + 0.540312i \(0.818306\pi\)
\(258\) 1.23763 11.9803i 0.0770518 0.745863i
\(259\) 2.01651 20.4740i 0.125300 1.27219i
\(260\) −2.88013 + 13.7911i −0.178618 + 0.855286i
\(261\) 5.96995 3.19100i 0.369531 0.197518i
\(262\) −2.21826 0.452239i −0.137044 0.0279394i
\(263\) 1.31512 + 6.61158i 0.0810941 + 0.407687i 0.999915 + 0.0130134i \(0.00414242\pi\)
−0.918821 + 0.394674i \(0.870858\pi\)
\(264\) 9.73361 5.02515i 0.599062 0.309276i
\(265\) −28.9244 5.75341i −1.77681 0.353429i
\(266\) −0.915164 2.23953i −0.0561123 0.137314i
\(267\) −1.93830 + 2.36183i −0.118622 + 0.144542i
\(268\) −2.42560 0.761119i −0.148167 0.0464927i
\(269\) −14.3316 + 26.8125i −0.873810 + 1.63478i −0.105763 + 0.994391i \(0.533728\pi\)
−0.768047 + 0.640393i \(0.778772\pi\)
\(270\) 5.72960 0.536759i 0.348693 0.0326661i
\(271\) −3.78566 9.13939i −0.229963 0.555179i 0.766210 0.642591i \(-0.222140\pi\)
−0.996172 + 0.0874119i \(0.972140\pi\)
\(272\) 6.90989 6.65135i 0.418974 0.403297i
\(273\) 1.57699 3.80718i 0.0954435 0.230421i
\(274\) −2.14370 + 6.94748i −0.129506 + 0.419713i
\(275\) −12.9943 42.8364i −0.783585 2.58313i
\(276\) 4.70054 + 16.0445i 0.282939 + 0.965768i
\(277\) −9.91805 + 0.976842i −0.595918 + 0.0586928i −0.391480 0.920187i \(-0.628037\pi\)
−0.204438 + 0.978880i \(0.565537\pi\)
\(278\) −15.3391 15.4860i −0.919976 0.928787i
\(279\) 6.16357 4.11837i 0.369003 0.246560i
\(280\) −25.4592 + 10.1216i −1.52148 + 0.604880i
\(281\) 11.2704 16.8674i 0.672336 1.00622i −0.325814 0.945434i \(-0.605638\pi\)
0.998151 0.0607885i \(-0.0193615\pi\)
\(282\) −3.51943 2.37594i −0.209579 0.141485i
\(283\) 3.19988 10.5486i 0.190213 0.627048i −0.809016 0.587787i \(-0.799999\pi\)
0.999229 0.0392616i \(-0.0125006\pi\)
\(284\) −0.936569 0.00892696i −0.0555751 0.000529718i
\(285\) 2.26053 1.85517i 0.133902 0.109891i
\(286\) 9.08637 2.70910i 0.537288 0.160192i
\(287\) 11.5628 11.5628i 0.682533 0.682533i
\(288\) 3.69184 4.28606i 0.217544 0.252559i
\(289\) 7.95553 + 7.95553i 0.467972 + 0.467972i
\(290\) −34.2673 18.5268i −2.01225 1.08793i
\(291\) 6.27370 + 7.64453i 0.367771 + 0.448130i
\(292\) 3.44723 8.10302i 0.201734 0.474194i
\(293\) −29.4135 8.92249i −1.71836 0.521257i −0.731358 0.681994i \(-0.761113\pi\)
−0.986997 + 0.160736i \(0.948613\pi\)
\(294\) −1.85137 + 0.359096i −0.107974 + 0.0209429i
\(295\) −5.35358 3.57715i −0.311697 0.208269i
\(296\) 13.8700 20.1289i 0.806177 1.16997i
\(297\) −2.15167 3.22020i −0.124853 0.186855i
\(298\) 0.143372 30.0843i 0.00830532 1.74274i
\(299\) 1.41844 + 14.4017i 0.0820306 + 0.832871i
\(300\) −14.4940 18.0082i −0.836809 1.03971i
\(301\) 19.4000 5.88491i 1.11819 0.339201i
\(302\) 1.20162 + 2.27407i 0.0691452 + 0.130858i
\(303\) −10.9512 4.53613i −0.629129 0.260594i
\(304\) 0.336239 2.85487i 0.0192847 0.163738i
\(305\) −2.85474 + 1.18247i −0.163462 + 0.0677081i
\(306\) −2.61094 2.16365i −0.149257 0.123687i
\(307\) −3.62799 1.93920i −0.207060 0.110676i 0.364607 0.931161i \(-0.381203\pi\)
−0.571667 + 0.820485i \(0.693703\pi\)
\(308\) 14.1410 + 11.8325i 0.805756 + 0.674221i
\(309\) 4.65513 + 3.82037i 0.264821 + 0.217333i
\(310\) −39.3333 16.5124i −2.23398 0.937843i
\(311\) 5.68464 28.5786i 0.322346 1.62054i −0.391456 0.920197i \(-0.628029\pi\)
0.713803 0.700347i \(-0.246971\pi\)
\(312\) 3.82898 3.05181i 0.216773 0.172775i
\(313\) 2.13035 0.423753i 0.120415 0.0239520i −0.134515 0.990912i \(-0.542948\pi\)
0.254930 + 0.966960i \(0.417948\pi\)
\(314\) −4.22849 6.39415i −0.238628 0.360843i
\(315\) 4.56615 + 8.54267i 0.257274 + 0.481325i
\(316\) −30.0221 + 5.67485i −1.68887 + 0.319235i
\(317\) 29.9923 + 2.95399i 1.68454 + 0.165912i 0.894476 0.447116i \(-0.147549\pi\)
0.790061 + 0.613029i \(0.210049\pi\)
\(318\) 6.46431 + 7.95378i 0.362501 + 0.446026i
\(319\) 26.2167i 1.46785i
\(320\) −32.2922 4.11571i −1.80519 0.230075i
\(321\) 18.1830i 1.01488i
\(322\) −21.8387 + 17.7490i −1.21702 + 0.989115i
\(323\) −1.71485 0.168897i −0.0954165 0.00939771i
\(324\) −1.65227 1.12694i −0.0917930 0.0626078i
\(325\) −9.43211 17.6462i −0.523200 0.978838i
\(326\) 12.1522 8.03632i 0.673047 0.445091i
\(327\) −18.9197 + 3.76335i −1.04626 + 0.208114i
\(328\) 18.6719 5.37377i 1.03098 0.296717i
\(329\) 1.39442 7.01022i 0.0768768 0.386486i
\(330\) −8.62704 + 20.5500i −0.474903 + 1.13124i
\(331\) −10.8855 8.93347i −0.598319 0.491028i 0.285800 0.958289i \(-0.407741\pi\)
−0.884119 + 0.467261i \(0.845241\pi\)
\(332\) 19.4343 1.72726i 1.06660 0.0947954i
\(333\) −7.62204 4.07407i −0.417685 0.223257i
\(334\) 9.42821 11.3773i 0.515889 0.622539i
\(335\) 4.77864 1.97938i 0.261085 0.108145i
\(336\) 9.05741 + 2.93720i 0.494122 + 0.160237i
\(337\) 1.27870 + 0.529654i 0.0696551 + 0.0288521i 0.417239 0.908797i \(-0.362998\pi\)
−0.347584 + 0.937649i \(0.612998\pi\)
\(338\) −12.5078 + 6.60914i −0.680337 + 0.359490i
\(339\) 12.8459 3.89677i 0.697695 0.211643i
\(340\) −2.09768 + 19.4006i −0.113763 + 1.05215i
\(341\) 2.81401 + 28.5711i 0.152387 + 1.54721i
\(342\) −1.01631 0.00484342i −0.0549560 0.000261902i
\(343\) −11.0211 16.4942i −0.595082 0.890603i
\(344\) 23.5557 + 5.03665i 1.27004 + 0.271558i
\(345\) −28.2834 18.8984i −1.52273 1.01745i
\(346\) −1.73888 8.96504i −0.0934830 0.481963i
\(347\) −2.45708 0.745348i −0.131903 0.0400124i 0.223643 0.974671i \(-0.428205\pi\)
−0.355546 + 0.934659i \(0.615705\pi\)
\(348\) 5.06151 + 12.5568i 0.271326 + 0.673113i
\(349\) −16.6507 20.2890i −0.891293 1.08604i −0.995803 0.0915198i \(-0.970828\pi\)
0.104510 0.994524i \(-0.466672\pi\)
\(350\) 18.5055 34.2279i 0.989159 1.82956i
\(351\) −1.22410 1.22410i −0.0653375 0.0653375i
\(352\) 7.89937 + 20.4348i 0.421038 + 1.08918i
\(353\) −17.0056 + 17.0056i −0.905114 + 0.905114i −0.995873 0.0907586i \(-0.971071\pi\)
0.0907586 + 0.995873i \(0.471071\pi\)
\(354\) 0.639363 + 2.14444i 0.0339818 + 0.113975i
\(355\) 1.47306 1.20891i 0.0781821 0.0641624i
\(356\) −4.27956 4.36193i −0.226816 0.231182i
\(357\) 1.65685 5.46191i 0.0876900 0.289075i
\(358\) 0.791396 1.17228i 0.0418266 0.0619567i
\(359\) −5.51925 + 8.26014i −0.291295 + 0.435953i −0.948036 0.318162i \(-0.896934\pi\)
0.656742 + 0.754116i \(0.271934\pi\)
\(360\) −0.164543 + 11.5082i −0.00867218 + 0.606536i
\(361\) 15.3685 10.2689i 0.808869 0.540469i
\(362\) 5.60977 5.55656i 0.294843 0.292046i
\(363\) 3.98014 0.392010i 0.208903 0.0205752i
\(364\) 7.23119 + 3.95422i 0.379017 + 0.207258i
\(365\) 5.20081 + 17.1448i 0.272223 + 0.897398i
\(366\) 1.02615 + 0.316627i 0.0536376 + 0.0165503i
\(367\) 1.23655 2.98529i 0.0645472 0.155831i −0.888315 0.459236i \(-0.848123\pi\)
0.952862 + 0.303405i \(0.0981234\pi\)
\(368\) −32.9137 + 5.89709i −1.71575 + 0.307407i
\(369\) −2.62883 6.34655i −0.136851 0.330388i
\(370\) 4.63897 + 49.5183i 0.241168 + 2.57434i
\(371\) −8.13254 + 15.2149i −0.422221 + 0.789919i
\(372\) 6.86386 + 13.1411i 0.355875 + 0.681336i
\(373\) −0.770867 + 0.939304i −0.0399140 + 0.0486353i −0.792585 0.609762i \(-0.791265\pi\)
0.752671 + 0.658397i \(0.228765\pi\)
\(374\) 12.1569 4.96780i 0.628617 0.256879i
\(375\) 26.1739 + 5.20631i 1.35161 + 0.268853i
\(376\) 5.48102 6.48725i 0.282662 0.334554i
\(377\) 2.28617 + 11.4933i 0.117743 + 0.591937i
\(378\) 0.672489 3.29860i 0.0345891 0.169661i
\(379\) 8.71713 4.65940i 0.447769 0.239337i −0.232070 0.972699i \(-0.574550\pi\)
0.679839 + 0.733362i \(0.262050\pi\)
\(380\) 3.20283 + 4.89372i 0.164302 + 0.251042i
\(381\) 0.651053 6.61025i 0.0333544 0.338653i
\(382\) −24.5050 2.53150i −1.25378 0.129523i
\(383\) 7.13004 0.364328 0.182164 0.983268i \(-0.441690\pi\)
0.182164 + 0.983268i \(0.441690\pi\)
\(384\) 7.72872 + 8.26238i 0.394405 + 0.421638i
\(385\) −37.5147 −1.91192
\(386\) −7.58753 0.783834i −0.386195 0.0398961i
\(387\) 0.834759 8.47545i 0.0424332 0.430831i
\(388\) −16.5493 + 10.8312i −0.840163 + 0.549869i
\(389\) 5.10563 2.72902i 0.258866 0.138367i −0.336859 0.941555i \(-0.609365\pi\)
0.595725 + 0.803188i \(0.296865\pi\)
\(390\) −1.99006 + 9.76136i −0.100771 + 0.494285i
\(391\) 3.91036 + 19.6587i 0.197756 + 0.994185i
\(392\) −0.315995 3.75848i −0.0159602 0.189832i
\(393\) −1.57005 0.312303i −0.0791986 0.0157536i
\(394\) 34.6351 14.1533i 1.74489 0.713035i
\(395\) 39.4366 48.0537i 1.98427 2.41784i
\(396\) 6.86569 3.58608i 0.345014 0.180207i
\(397\) 10.5716 19.7782i 0.530576 0.992637i −0.463720 0.885982i \(-0.653486\pi\)
0.994296 0.106656i \(-0.0340142\pi\)
\(398\) 2.85990 + 30.5278i 0.143354 + 1.53022i
\(399\) −0.654658 1.58048i −0.0327739 0.0791232i
\(400\) 38.9239 24.9482i 1.94620 1.24741i
\(401\) −0.435481 + 1.05134i −0.0217469 + 0.0525017i −0.934380 0.356278i \(-0.884046\pi\)
0.912633 + 0.408780i \(0.134046\pi\)
\(402\) −1.71771 0.530012i −0.0856714 0.0264346i
\(403\) 3.72513 + 12.2801i 0.185562 + 0.611715i
\(404\) 11.3742 20.8002i 0.565885 1.03485i
\(405\) 4.04959 0.398850i 0.201226 0.0198190i
\(406\) −16.1904 + 16.0368i −0.803516 + 0.795894i
\(407\) 27.8307 18.5959i 1.37952 0.921765i
\(408\) 4.86356 4.72644i 0.240782 0.233994i
\(409\) −8.49058 + 12.7071i −0.419832 + 0.628324i −0.979750 0.200225i \(-0.935833\pi\)
0.559918 + 0.828548i \(0.310833\pi\)
\(410\) −22.1190 + 32.7643i −1.09238 + 1.61811i
\(411\) −1.49240 + 4.91978i −0.0736146 + 0.242675i
\(412\) −8.59730 + 8.43495i −0.423558 + 0.415560i
\(413\) −2.91161 + 2.38949i −0.143271 + 0.117579i
\(414\) 3.37781 + 11.3292i 0.166010 + 0.556802i
\(415\) −28.0699 + 28.0699i −1.37790 + 1.37790i
\(416\) 5.24503 + 8.26971i 0.257159 + 0.405456i
\(417\) −10.8984 10.8984i −0.533698 0.533698i
\(418\) 1.87200 3.46248i 0.0915627 0.169355i
\(419\) 2.24624 + 2.73705i 0.109736 + 0.133714i 0.824982 0.565159i \(-0.191185\pi\)
−0.715246 + 0.698873i \(0.753685\pi\)
\(420\) −17.9680 + 7.24275i −0.876751 + 0.353410i
\(421\) 6.00873 + 1.82273i 0.292848 + 0.0888344i 0.433290 0.901254i \(-0.357353\pi\)
−0.140443 + 0.990089i \(0.544853\pi\)
\(422\) 4.13615 + 21.3245i 0.201345 + 1.03806i
\(423\) −2.49659 1.66817i −0.121388 0.0811091i
\(424\) −17.2052 + 11.1437i −0.835557 + 0.541185i
\(425\) −15.3969 23.0431i −0.746860 1.11775i
\(426\) −0.662277 0.00315619i −0.0320874 0.000152918i
\(427\) 0.177175 + 1.79889i 0.00857410 + 0.0870543i
\(428\) −36.1554 3.90928i −1.74763 0.188962i
\(429\) 6.41583 1.94622i 0.309759 0.0939644i
\(430\) −43.3322 + 22.8967i −2.08966 + 1.10418i
\(431\) −22.1224 9.16341i −1.06560 0.441386i −0.220164 0.975463i \(-0.570659\pi\)
−0.845436 + 0.534077i \(0.820659\pi\)
\(432\) 2.59605 3.04311i 0.124903 0.146412i
\(433\) 28.0473 11.6176i 1.34786 0.558304i 0.412168 0.911108i \(-0.364772\pi\)
0.935697 + 0.352804i \(0.114772\pi\)
\(434\) −15.9231 + 19.2148i −0.764331 + 0.922341i
\(435\) −24.2928 12.9848i −1.16475 0.622572i
\(436\) −3.41544 38.4292i −0.163570 1.84042i
\(437\) 4.64389 + 3.81114i 0.222147 + 0.182312i
\(438\) 2.41022 5.74125i 0.115165 0.274328i
\(439\) 1.23520 6.20977i 0.0589529 0.296376i −0.940049 0.341039i \(-0.889221\pi\)
0.999002 + 0.0446625i \(0.0142212\pi\)
\(440\) −39.0070 21.5723i −1.85959 1.02842i
\(441\) −1.30789 + 0.260155i −0.0622805 + 0.0123884i
\(442\) 4.89634 3.23798i 0.232895 0.154015i
\(443\) −6.45883 12.0836i −0.306868 0.574110i 0.680463 0.732782i \(-0.261779\pi\)
−0.987331 + 0.158673i \(0.949279\pi\)
\(444\) 9.73962 14.2798i 0.462222 0.677691i
\(445\) 12.3730 + 1.21863i 0.586535 + 0.0577686i
\(446\) 16.7964 13.6510i 0.795330 0.646392i
\(447\) 21.2731i 1.00618i
\(448\) −7.78766 + 17.3784i −0.367933 + 0.821050i
\(449\) 16.3410i 0.771178i −0.922671 0.385589i \(-0.873998\pi\)
0.922671 0.385589i \(-0.126002\pi\)
\(450\) −10.3093 12.6848i −0.485987 0.597965i
\(451\) 26.4767 + 2.60772i 1.24674 + 0.122793i
\(452\) 4.98656 + 26.3808i 0.234548 + 1.24085i
\(453\) 0.857324 + 1.60394i 0.0402806 + 0.0753597i
\(454\) 3.00510 + 4.54418i 0.141036 + 0.213269i
\(455\) −16.4463 + 3.27138i −0.771016 + 0.153365i
\(456\) 0.228134 2.01981i 0.0106834 0.0945862i
\(457\) −5.31960 + 26.7435i −0.248841 + 1.25101i 0.631017 + 0.775769i \(0.282638\pi\)
−0.879858 + 0.475237i \(0.842362\pi\)
\(458\) −6.05779 2.54311i −0.283062 0.118832i
\(459\) −1.85348 1.52111i −0.0865132 0.0709995i
\(460\) 43.6585 52.1760i 2.03559 2.43272i
\(461\) 2.23133 + 1.19267i 0.103923 + 0.0555482i 0.522539 0.852615i \(-0.324985\pi\)
−0.418616 + 0.908163i \(0.637485\pi\)
\(462\) 10.0389 + 8.31912i 0.467053 + 0.387040i
\(463\) −15.9263 + 6.59689i −0.740158 + 0.306584i −0.720719 0.693227i \(-0.756188\pi\)
−0.0194394 + 0.999811i \(0.506188\pi\)
\(464\) −26.0562 + 7.36471i −1.20963 + 0.341898i
\(465\) −27.8682 11.5434i −1.29236 0.535311i
\(466\) −4.99011 9.44383i −0.231163 0.437477i
\(467\) 7.76356 2.35505i 0.359255 0.108979i −0.105497 0.994420i \(-0.533643\pi\)
0.464752 + 0.885441i \(0.346143\pi\)
\(468\) 2.69718 2.17083i 0.124677 0.100347i
\(469\) −0.296579 3.01122i −0.0136948 0.139045i
\(470\) −0.0823459 + 17.2790i −0.00379833 + 0.797019i
\(471\) −3.01151 4.50704i −0.138763 0.207674i
\(472\) −4.40148 + 0.810272i −0.202594 + 0.0372958i
\(473\) 27.4247 + 18.3246i 1.26099 + 0.842567i
\(474\) −21.2095 + 4.11385i −0.974183 + 0.188955i
\(475\) −7.94867 2.41120i −0.364710 0.110634i
\(476\) 10.5043 + 4.46879i 0.481464 + 0.204827i
\(477\) 4.59771 + 5.60232i 0.210515 + 0.256513i
\(478\) −1.25378 0.677859i −0.0573464 0.0310046i
\(479\) 19.1334 + 19.1334i 0.874229 + 0.874229i 0.992930 0.118701i \(-0.0378731\pi\)
−0.118701 + 0.992930i \(0.537873\pi\)
\(480\) −22.8477 2.80140i −1.04285 0.127866i
\(481\) 10.5793 10.5793i 0.482375 0.482375i
\(482\) 5.19893 1.55006i 0.236805 0.0706034i
\(483\) −15.3823 + 12.6239i −0.699918 + 0.574408i
\(484\) −0.0762376 + 7.99843i −0.00346534 + 0.363565i
\(485\) 11.6814 38.5086i 0.530427 1.74858i
\(486\) −1.17212 0.791290i −0.0531683 0.0358936i
\(487\) 2.71742 4.06691i 0.123138 0.184289i −0.764779 0.644293i \(-0.777152\pi\)
0.887917 + 0.460003i \(0.152152\pi\)
\(488\) −0.850202 + 1.97233i −0.0384868 + 0.0892832i
\(489\) 8.56571 5.72343i 0.387355 0.258822i
\(490\) 5.40038 + 5.45210i 0.243964 + 0.246301i
\(491\) −26.4613 + 2.60621i −1.19418 + 0.117617i −0.675507 0.737354i \(-0.736075\pi\)
−0.518676 + 0.854971i \(0.673575\pi\)
\(492\) 13.1847 3.86271i 0.594414 0.174144i
\(493\) 4.71160 + 15.5321i 0.212200 + 0.699528i
\(494\) 0.518744 1.68119i 0.0233394 0.0756401i
\(495\) −6.03092 + 14.5599i −0.271070 + 0.654420i
\(496\) −27.6057 + 10.8229i −1.23953 + 0.485962i
\(497\) −0.426605 1.02992i −0.0191358 0.0461980i
\(498\) 13.7362 1.28683i 0.615533 0.0576642i
\(499\) −4.60535 + 8.61600i −0.206164 + 0.385705i −0.963659 0.267135i \(-0.913923\pi\)
0.757495 + 0.652841i \(0.226423\pi\)
\(500\) −15.9795 + 50.9251i −0.714627 + 2.27744i
\(501\) 6.62834 8.07665i 0.296132 0.360838i
\(502\) 6.33486 + 15.5023i 0.282739 + 0.691899i
\(503\) −6.47063 1.28709i −0.288511 0.0573885i 0.0487129 0.998813i \(-0.484488\pi\)
−0.337224 + 0.941424i \(0.609488\pi\)
\(504\) 6.41438 + 2.04637i 0.285719 + 0.0911525i
\(505\) 9.40998 + 47.3072i 0.418739 + 2.10514i
\(506\) −44.8629 9.14626i −1.99440 0.406601i
\(507\) −8.82201 + 4.71546i −0.391799 + 0.209421i
\(508\) 13.0039 + 2.71574i 0.576956 + 0.120491i
\(509\) −2.38311 + 24.1961i −0.105629 + 1.07247i 0.785542 + 0.618808i \(0.212384\pi\)
−0.891172 + 0.453666i \(0.850116\pi\)
\(510\) −1.41789 + 13.7252i −0.0627854 + 0.607764i
\(511\) 10.4809 0.463646
\(512\) −18.0906 + 13.5915i −0.799501 + 0.600665i
\(513\) −0.718651 −0.0317292
\(514\) 3.92072 37.9527i 0.172936 1.67402i
\(515\) 2.40191 24.3870i 0.105841 1.07462i
\(516\) 16.6732 + 3.48203i 0.733997 + 0.153288i
\(517\) 10.2558 5.48181i 0.451047 0.241090i
\(518\) 28.5083 + 5.81201i 1.25258 + 0.255365i
\(519\) −1.25977 6.33331i −0.0552979 0.278001i
\(520\) −18.9817 6.05571i −0.832404 0.265560i
\(521\) 32.2720 + 6.41931i 1.41386 + 0.281235i 0.842161 0.539226i \(-0.181283\pi\)
0.571702 + 0.820461i \(0.306283\pi\)
\(522\) 3.62130 + 8.86182i 0.158500 + 0.387871i
\(523\) 16.7638 20.4267i 0.733029 0.893198i −0.264433 0.964404i \(-0.585185\pi\)
0.997462 + 0.0712058i \(0.0226847\pi\)
\(524\) 0.958540 3.05476i 0.0418740 0.133448i
\(525\) 12.9699 24.2649i 0.566051 1.05901i
\(526\) −9.49180 + 0.889209i −0.413862 + 0.0387713i
\(527\) 6.80188 + 16.4212i 0.296294 + 0.715318i
\(528\) 5.65450 + 14.4228i 0.246080 + 0.627672i
\(529\) 17.9404 43.3121i 0.780019 1.88313i
\(530\) 12.2969 39.8526i 0.534141 1.73109i
\(531\) 0.459319 + 1.51417i 0.0199328 + 0.0657095i
\(532\) 3.28340 0.961932i 0.142354 0.0417050i
\(533\) 11.8347 1.16562i 0.512618 0.0504884i
\(534\) −3.04077 3.06989i −0.131587 0.132847i
\(535\) 61.5205 41.1067i 2.65976 1.77720i
\(536\) 1.42318 3.30155i 0.0614721 0.142605i
\(537\) 0.555645 0.831581i 0.0239778 0.0358854i
\(538\) −35.6351 24.0570i −1.53634 1.03717i
\(539\) 1.49920 4.94218i 0.0645749 0.212875i
\(540\) −0.0775678 + 8.13799i −0.00333799 + 0.350203i
\(541\) −33.3142 + 27.3402i −1.43229 + 1.17545i −0.477323 + 0.878728i \(0.658393\pi\)
−0.954965 + 0.296720i \(0.904107\pi\)
\(542\) 13.4068 3.99723i 0.575870 0.171696i
\(543\) 3.94794 3.94794i 0.169422 0.169422i
\(544\) 8.35246 + 10.6869i 0.358109 + 0.458198i
\(545\) 55.5049 + 55.5049i 2.37757 + 2.37757i
\(546\) 5.12649 + 2.77166i 0.219394 + 0.118616i
\(547\) −15.7154 19.1493i −0.671941 0.818763i 0.319737 0.947506i \(-0.396406\pi\)
−0.991678 + 0.128744i \(0.958906\pi\)
\(548\) −9.46168 4.02523i −0.404183 0.171950i
\(549\) 0.726655 + 0.220428i 0.0310129 + 0.00940766i
\(550\) 62.1475 12.0543i 2.64998 0.513998i
\(551\) 4.04488 + 2.70270i 0.172318 + 0.115139i
\(552\) −23.2534 + 4.28074i −0.989730 + 0.182200i
\(553\) −20.2037 30.2369i −0.859147 1.28580i
\(554\) 0.0671671 14.0939i 0.00285366 0.598794i
\(555\) 3.44707 + 34.9987i 0.146320 + 1.48561i
\(556\) 24.0136 19.3274i 1.01841 0.819665i
\(557\) −20.1323 + 6.10706i −0.853032 + 0.258764i −0.686373 0.727250i \(-0.740798\pi\)
−0.166659 + 0.986015i \(0.553298\pi\)
\(558\) 4.89771 + 9.26895i 0.207337 + 0.392386i
\(559\) 13.6209 + 5.64195i 0.576102 + 0.238629i
\(560\) −10.5385 37.2850i −0.445333 1.57558i
\(561\) 8.57937 3.55369i 0.362221 0.150037i
\(562\) 22.0899 + 18.3056i 0.931807 + 0.772175i
\(563\) 19.3475 + 10.3415i 0.815401 + 0.435841i 0.825702 0.564106i \(-0.190779\pi\)
−0.0103014 + 0.999947i \(0.503279\pi\)
\(564\) 3.85376 4.60560i 0.162273 0.193931i
\(565\) −42.2253 34.6534i −1.77643 1.45788i
\(566\) 14.3740 + 6.03430i 0.604183 + 0.253641i
\(567\) 0.464401 2.33470i 0.0195030 0.0980481i
\(568\) 0.148663 1.31620i 0.00623774 0.0552265i
\(569\) −18.9018 + 3.75980i −0.792404 + 0.157619i −0.574666 0.818388i \(-0.694868\pi\)
−0.217738 + 0.976007i \(0.569868\pi\)
\(570\) 2.28121 + 3.44955i 0.0955494 + 0.144486i
\(571\) 4.20667 + 7.87013i 0.176044 + 0.329355i 0.954432 0.298428i \(-0.0964624\pi\)
−0.778388 + 0.627783i \(0.783962\pi\)
\(572\) 2.49051 + 13.1757i 0.104133 + 0.550905i
\(573\) −17.3360 1.70745i −0.724221 0.0713295i
\(574\) 14.5854 + 17.9461i 0.608784 + 0.749056i
\(575\) 96.6206i 4.02936i
\(576\) 5.49281 + 5.81627i 0.228867 + 0.242345i
\(577\) 2.24149i 0.0933143i 0.998911 + 0.0466571i \(0.0148568\pi\)
−0.998911 + 0.0466571i \(0.985143\pi\)
\(578\) −12.3474 + 10.0351i −0.513583 + 0.417407i
\(579\) −5.36777 0.528679i −0.223077 0.0219712i
\(580\) 31.0419 45.5124i 1.28895 1.88980i
\(581\) 10.9469 + 20.4803i 0.454155 + 0.849664i
\(582\) −11.6655 + 7.71447i −0.483550 + 0.319775i
\(583\) −27.5292 + 5.47590i −1.14014 + 0.226789i
\(584\) 10.8978 + 6.02686i 0.450954 + 0.249393i
\(585\) −1.37428 + 6.90895i −0.0568193 + 0.285650i
\(586\) 16.8260 40.0801i 0.695074 1.65570i
\(587\) −8.77627 7.20250i −0.362236 0.297279i 0.435616 0.900132i \(-0.356530\pi\)
−0.797852 + 0.602853i \(0.794030\pi\)
\(588\) −0.236105 2.65655i −0.00973680 0.109554i
\(589\) 4.69823 + 2.51125i 0.193587 + 0.103474i
\(590\) 5.81006 7.01118i 0.239197 0.288646i
\(591\) 24.4428 10.1245i 1.00544 0.416467i
\(592\) 26.3002 + 22.4365i 1.08093 + 0.922134i
\(593\) 22.8478 + 9.46389i 0.938248 + 0.388635i 0.798802 0.601594i \(-0.205468\pi\)
0.139447 + 0.990230i \(0.455468\pi\)
\(594\) 4.84263 2.55885i 0.198696 0.104991i
\(595\) −22.2255 + 6.74204i −0.911158 + 0.276397i
\(596\) 42.2996 + 4.57363i 1.73266 + 0.187343i
\(597\) 2.12510 + 21.5765i 0.0869746 + 0.883068i
\(598\) −20.4654 0.0975312i −0.836891 0.00398835i
\(599\) 15.4443 + 23.1141i 0.631038 + 0.944415i 0.999889 + 0.0149266i \(0.00475147\pi\)
−0.368850 + 0.929489i \(0.620249\pi\)
\(600\) 27.4390 17.7720i 1.12019 0.725540i
\(601\) 3.76267 + 2.51414i 0.153482 + 0.102554i 0.629940 0.776644i \(-0.283079\pi\)
−0.476458 + 0.879197i \(0.658079\pi\)
\(602\) 5.45921 + 28.1457i 0.222501 + 1.14713i
\(603\) −1.21637 0.368983i −0.0495346 0.0150261i
\(604\) −3.37361 + 1.35987i −0.137270 + 0.0553324i
\(605\) −10.3243 12.5802i −0.419742 0.511457i
\(606\) 7.97256 14.7461i 0.323863 0.599021i
\(607\) 1.82456 + 1.82456i 0.0740568 + 0.0740568i 0.743165 0.669108i \(-0.233324\pi\)
−0.669108 + 0.743165i \(0.733324\pi\)
\(608\) 3.96716 + 0.887875i 0.160890 + 0.0360081i
\(609\) −11.3942 + 11.3942i −0.461715 + 0.461715i
\(610\) −1.24856 4.18767i −0.0505525 0.169554i
\(611\) 4.01807 3.29754i 0.162554 0.133404i
\(612\) 3.42309 3.35845i 0.138370 0.135757i
\(613\) 3.16400 10.4303i 0.127793 0.421276i −0.869574 0.493803i \(-0.835606\pi\)
0.997366 + 0.0725269i \(0.0231063\pi\)
\(614\) 3.25515 4.82178i 0.131367 0.194591i
\(615\) −15.5299 + 23.2421i −0.626226 + 0.937213i
\(616\) −18.7001 + 18.1729i −0.753450 + 0.732209i
\(617\) −35.2805 + 23.5737i −1.42034 + 0.949040i −0.421225 + 0.906956i \(0.638400\pi\)
−0.999114 + 0.0420837i \(0.986600\pi\)
\(618\) −6.05071 + 5.99332i −0.243395 + 0.241087i
\(619\) 14.0294 1.38177i 0.563887 0.0555381i 0.187942 0.982180i \(-0.439818\pi\)
0.375945 + 0.926642i \(0.377318\pi\)
\(620\) 28.9445 52.9316i 1.16244 2.12578i
\(621\) 2.42662 + 7.99951i 0.0973771 + 0.321009i
\(622\) 39.3762 + 12.1499i 1.57884 + 0.487165i
\(623\) 2.78330 6.71948i 0.111510 0.269210i
\(624\) 3.73662 + 5.82983i 0.149585 + 0.233380i
\(625\) −19.4409 46.9346i −0.777638 1.87738i
\(626\) 0.286517 + 3.05840i 0.0114515 + 0.122238i
\(627\) 1.31202 2.45462i 0.0523972 0.0980282i
\(628\) 9.60931 5.01912i 0.383453 0.200285i
\(629\) 13.1463 16.0188i 0.524177 0.638711i
\(630\) −12.6808 + 5.18189i −0.505214 + 0.206451i
\(631\) 12.5334 + 2.49304i 0.498945 + 0.0992463i 0.438146 0.898904i \(-0.355635\pi\)
0.0607988 + 0.998150i \(0.480635\pi\)
\(632\) −3.62007 43.0576i −0.143999 1.71274i
\(633\) 2.99653 + 15.0646i 0.119101 + 0.598762i
\(634\) −8.51402 + 41.7617i −0.338135 + 1.65857i
\(635\) −23.8370 + 12.7411i −0.945941 + 0.505616i
\(636\) −12.1282 + 7.93766i −0.480915 + 0.314749i
\(637\) 0.226272 2.29737i 0.00896521 0.0910253i
\(638\) −36.8797 3.80988i −1.46008 0.150835i
\(639\) −0.468306 −0.0185259
\(640\) 10.4825 44.8282i 0.414356 1.77199i
\(641\) −8.27505 −0.326845 −0.163422 0.986556i \(-0.552253\pi\)
−0.163422 + 0.986556i \(0.552253\pi\)
\(642\) −25.5786 2.64241i −1.00951 0.104288i
\(643\) −4.40186 + 44.6928i −0.173592 + 1.76251i 0.375568 + 0.926795i \(0.377448\pi\)
−0.549160 + 0.835717i \(0.685052\pi\)
\(644\) −21.7944 33.3004i −0.858819 1.31222i
\(645\) −30.5630 + 16.3363i −1.20342 + 0.643239i
\(646\) 0.486799 2.38777i 0.0191528 0.0939457i
\(647\) −8.90617 44.7743i −0.350138 1.76026i −0.607862 0.794043i \(-0.707973\pi\)
0.257724 0.966218i \(-0.417027\pi\)
\(648\) 1.82541 2.16053i 0.0717089 0.0848735i
\(649\) −6.01037 1.19554i −0.235928 0.0469290i
\(650\) 26.1942 10.7040i 1.02742 0.419846i
\(651\) −11.1944 + 13.6404i −0.438744 + 0.534611i
\(652\) 9.53893 + 18.2627i 0.373573 + 0.715221i
\(653\) 9.84531 18.4193i 0.385277 0.720802i −0.612282 0.790640i \(-0.709748\pi\)
0.997558 + 0.0698375i \(0.0222481\pi\)
\(654\) −2.54456 27.1617i −0.0995000 1.06211i
\(655\) 2.49279 + 6.01814i 0.0974015 + 0.235148i
\(656\) 4.84599 + 27.0471i 0.189204 + 1.05601i
\(657\) 1.68492 4.06776i 0.0657350 0.158698i
\(658\) 9.65883 + 2.98031i 0.376540 + 0.116185i
\(659\) −7.79075 25.6827i −0.303485 1.00045i −0.967529 0.252761i \(-0.918661\pi\)
0.664044 0.747693i \(-0.268839\pi\)
\(660\) −27.6545 15.1223i −1.07645 0.588634i
\(661\) 22.0230 2.16908i 0.856597 0.0843674i 0.339823 0.940489i \(-0.389633\pi\)
0.516774 + 0.856122i \(0.327133\pi\)
\(662\) 14.1489 14.0146i 0.549911 0.544694i
\(663\) 3.45128 2.30607i 0.134037 0.0895605i
\(664\) −0.394476 + 27.5898i −0.0153086 + 1.07069i
\(665\) −3.86742 + 5.78800i −0.149972 + 0.224449i
\(666\) 6.83876 10.1301i 0.264996 0.392533i
\(667\) 16.4264 54.1507i 0.636034 2.09672i
\(668\) 14.6346 + 14.9163i 0.566231 + 0.577129i
\(669\) 11.8307 9.70919i 0.457400 0.375379i
\(670\) 2.09000 + 7.00989i 0.0807437 + 0.270816i
\(671\) −2.07953 + 2.07953i −0.0802794 + 0.0802794i
\(672\) −5.44809 + 12.3145i −0.210164 + 0.475041i
\(673\) −19.5911 19.5911i −0.755180 0.755180i 0.220261 0.975441i \(-0.429309\pi\)
−0.975441 + 0.220261i \(0.929309\pi\)
\(674\) −0.930903 + 1.72181i −0.0358570 + 0.0663216i
\(675\) −7.33247 8.93464i −0.282227 0.343894i
\(676\) −7.47958 18.5556i −0.287676 0.713676i
\(677\) 19.0033 + 5.76458i 0.730355 + 0.221551i 0.633495 0.773747i \(-0.281620\pi\)
0.0968606 + 0.995298i \(0.469120\pi\)
\(678\) 3.61489 + 18.6370i 0.138829 + 0.715750i
\(679\) −19.5735 13.0786i −0.751163 0.501911i
\(680\) −26.9866 5.77023i −1.03489 0.221278i
\(681\) 2.14021 + 3.20306i 0.0820132 + 0.122741i
\(682\) −40.6007 0.193489i −1.55468 0.00740909i
\(683\) 1.17636 + 11.9438i 0.0450123 + 0.457017i 0.991101 + 0.133110i \(0.0424965\pi\)
−0.946089 + 0.323907i \(0.895003\pi\)
\(684\) 0.154507 1.42897i 0.00590772 0.0546382i
\(685\) 20.0195 6.07284i 0.764905 0.232031i
\(686\) 24.8045 13.1067i 0.947039 0.500415i
\(687\) −4.29203 1.77782i −0.163751 0.0678279i
\(688\) −10.5084 + 32.4045i −0.400628 + 1.23541i
\(689\) −11.5912 + 4.80124i −0.441590 + 0.182913i
\(690\) 30.6951 37.0407i 1.16854 1.41011i
\(691\) 7.34634 + 3.92670i 0.279468 + 0.149379i 0.605176 0.796092i \(-0.293103\pi\)
−0.325708 + 0.945470i \(0.605603\pi\)
\(692\) 12.8641 1.14331i 0.489018 0.0434622i
\(693\) 7.12655 + 5.84861i 0.270715 + 0.222170i
\(694\) 1.40557 3.34813i 0.0533547 0.127093i
\(695\) −12.2355 + 61.5119i −0.464118 + 2.33328i
\(696\) −18.3995 + 5.29538i −0.697431 + 0.200721i
\(697\) 16.1547 3.21338i 0.611904 0.121715i
\(698\) 30.9608 20.4746i 1.17188 0.774974i
\(699\) −3.56033 6.66090i −0.134664 0.251939i
\(700\) 45.4601 + 31.0062i 1.71823 + 1.17193i
\(701\) −39.0375 3.84486i −1.47443 0.145218i −0.671371 0.741122i \(-0.734294\pi\)
−0.803056 + 0.595903i \(0.796794\pi\)
\(702\) 1.89986 1.54408i 0.0717056 0.0582776i
\(703\) 6.21097i 0.234251i
\(704\) −29.8941 + 8.14262i −1.12668 + 0.306887i
\(705\) 12.2182i 0.460165i
\(706\) −21.4509 26.3935i −0.807315 0.993331i
\(707\) 28.0806 + 2.76570i 1.05608 + 0.104015i
\(708\) −3.10955 + 0.587775i −0.116864 + 0.0220899i
\(709\) −11.1339 20.8301i −0.418143 0.782290i 0.581365 0.813643i \(-0.302519\pi\)
−0.999508 + 0.0313521i \(0.990019\pi\)
\(710\) 1.48654 + 2.24788i 0.0557889 + 0.0843615i
\(711\) −14.9833 + 2.98037i −0.561919 + 0.111773i
\(712\) 6.75796 5.38628i 0.253265 0.201860i
\(713\) 12.0893 60.7769i 0.452747 2.27611i
\(714\) 7.44265 + 3.12448i 0.278534 + 0.116931i
\(715\) −21.0892 17.3075i −0.788692 0.647263i
\(716\) 1.53406 + 1.28364i 0.0573306 + 0.0479718i
\(717\) −0.888828 0.475088i −0.0331939 0.0177425i
\(718\) −10.8177 8.96446i −0.403712 0.334551i
\(719\) −16.7312 + 6.93029i −0.623968 + 0.258456i −0.672188 0.740381i \(-0.734645\pi\)
0.0482197 + 0.998837i \(0.484645\pi\)
\(720\) −16.1650 1.90387i −0.602434 0.0709531i
\(721\) −13.2440 5.48584i −0.493232 0.204303i
\(722\) 12.2122 + 23.1116i 0.454489 + 0.860125i
\(723\) 3.67094 1.11357i 0.136524 0.0414140i
\(724\) 7.00133 + 8.69891i 0.260203 + 0.323293i
\(725\) 7.66892 + 77.8639i 0.284817 + 2.89179i
\(726\) −0.0269544 + 5.65594i −0.00100037 + 0.209912i
\(727\) −8.55852 12.8087i −0.317418 0.475050i 0.638112 0.769944i \(-0.279716\pi\)
−0.955530 + 0.294894i \(0.904716\pi\)
\(728\) −6.61337 + 9.59767i −0.245108 + 0.355713i
\(729\) −0.831470 0.555570i −0.0307952 0.0205767i
\(730\) −24.8738 + 4.82459i −0.920621 + 0.178566i
\(731\) 19.5410 + 5.92770i 0.722750 + 0.219244i
\(732\) −0.594530 + 1.39750i −0.0219745 + 0.0516530i
\(733\) −17.8409 21.7392i −0.658968 0.802954i 0.331093 0.943598i \(-0.392583\pi\)
−0.990060 + 0.140644i \(0.955083\pi\)
\(734\) 4.01979 + 2.17332i 0.148373 + 0.0802185i
\(735\) 3.83698 + 3.83698i 0.141529 + 0.141529i
\(736\) −3.51248 47.1576i −0.129472 1.73825i
\(737\) 3.48100 3.48100i 0.128224 0.128224i
\(738\) 9.30990 2.77575i 0.342702 0.102177i
\(739\) −36.8609 + 30.2509i −1.35595 + 1.11280i −0.373221 + 0.927743i \(0.621747\pi\)
−0.982728 + 0.185056i \(0.940753\pi\)
\(740\) −70.3329 0.670383i −2.58549 0.0246438i
\(741\) 0.361138 1.19051i 0.0132667 0.0437346i
\(742\) −20.2214 13.6513i −0.742351 0.501157i
\(743\) −16.0619 + 24.0383i −0.589252 + 0.881878i −0.999548 0.0300745i \(-0.990426\pi\)
0.410296 + 0.911953i \(0.365426\pi\)
\(744\) −19.4835 + 7.74587i −0.714299 + 0.283977i
\(745\) −71.9754 + 48.0924i −2.63697 + 1.76197i
\(746\) −1.20932 1.22090i −0.0442763 0.0447004i
\(747\) 9.70850 0.956204i 0.355215 0.0349857i
\(748\) 5.22167 + 17.8233i 0.190923 + 0.651686i
\(749\) −12.5646 41.4198i −0.459099 1.51345i
\(750\) −11.1275 + 36.0629i −0.406319 + 1.31683i
\(751\) 7.16052 17.2870i 0.261291 0.630812i −0.737728 0.675098i \(-0.764101\pi\)
0.999019 + 0.0442859i \(0.0141013\pi\)
\(752\) 8.32927 + 8.65304i 0.303737 + 0.315544i
\(753\) 4.53161 + 10.9403i 0.165141 + 0.398686i
\(754\) −16.5002 + 1.54577i −0.600902 + 0.0562936i
\(755\) 3.48861 6.52672i 0.126963 0.237532i
\(756\) 4.54250 + 1.42537i 0.165209 + 0.0518402i
\(757\) −24.4790 + 29.8277i −0.889704 + 1.08411i 0.106258 + 0.994339i \(0.466113\pi\)
−0.995963 + 0.0897691i \(0.971387\pi\)
\(758\) 5.28771 + 12.9397i 0.192058 + 0.469992i
\(759\) −31.7533 6.31613i −1.15257 0.229261i
\(760\) −7.34957 + 3.79435i −0.266597 + 0.137635i
\(761\) −1.99098 10.0093i −0.0721730 0.362838i 0.927774 0.373143i \(-0.121720\pi\)
−0.999947 + 0.0103047i \(0.996720\pi\)
\(762\) 9.20421 + 1.87647i 0.333433 + 0.0679775i
\(763\) 40.4973 21.6463i 1.46610 0.783647i
\(764\) 7.12227 34.1040i 0.257675 1.23384i
\(765\) −0.956340 + 9.70988i −0.0345765 + 0.351061i
\(766\) −1.03616 + 10.0300i −0.0374379 + 0.362399i
\(767\) −2.73919 −0.0989063
\(768\) −12.7461 + 9.67149i −0.459934 + 0.348990i
\(769\) 16.7117 0.602641 0.301320 0.953523i \(-0.402573\pi\)
0.301320 + 0.953523i \(0.402573\pi\)
\(770\) 5.45173 52.7729i 0.196467 1.90180i
\(771\) 2.64445 26.8495i 0.0952374 0.966961i
\(772\) 2.20528 10.5597i 0.0793698 0.380051i
\(773\) 14.0336 7.50114i 0.504755 0.269797i −0.199305 0.979937i \(-0.563868\pi\)
0.704060 + 0.710140i