Properties

Label 230.2.j.a.29.10
Level $230$
Weight $2$
Character 230.29
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 29.10
Character \(\chi\) \(=\) 230.29
Dual form 230.2.j.a.119.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.909632 + 0.415415i) q^{2} +(-0.0359844 + 0.122552i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.78273 + 1.34976i) q^{5} +(-0.0836423 + 0.0965284i) q^{6} +(0.277941 + 0.0399619i) q^{7} +(0.281733 + 0.959493i) q^{8} +(2.51004 + 1.61310i) q^{9} +O(q^{10})\) \(q+(0.909632 + 0.415415i) q^{2} +(-0.0359844 + 0.122552i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.78273 + 1.34976i) q^{5} +(-0.0836423 + 0.0965284i) q^{6} +(0.277941 + 0.0399619i) q^{7} +(0.281733 + 0.959493i) q^{8} +(2.51004 + 1.61310i) q^{9} +(-2.18234 + 0.487212i) q^{10} +(2.07071 + 4.53422i) q^{11} +(-0.116183 + 0.0530590i) q^{12} +(3.69726 - 0.531586i) q^{13} +(0.236223 + 0.151811i) q^{14} +(-0.101265 - 0.267047i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-5.80355 - 5.02880i) q^{17} +(1.61310 + 2.51004i) q^{18} +(-2.73415 - 3.15538i) q^{19} +(-2.18752 - 0.463395i) q^{20} +(-0.0148989 + 0.0326241i) q^{21} +4.98467i q^{22} +(-0.919072 - 4.70694i) q^{23} -0.127725 q^{24} +(1.35629 - 4.81253i) q^{25} +(3.58398 + 1.05235i) q^{26} +(-0.577595 + 0.500489i) q^{27} +(0.151811 + 0.236223i) q^{28} +(-1.53549 + 1.77205i) q^{29} +(0.0188217 - 0.284982i) q^{30} +(3.18900 - 0.936376i) q^{31} +(-0.540641 + 0.841254i) q^{32} +(-0.630188 + 0.0906074i) q^{33} +(-3.19005 - 6.98524i) q^{34} +(-0.549434 + 0.303913i) q^{35} +(0.424623 + 2.95332i) q^{36} +(4.55996 - 7.09543i) q^{37} +(-1.17628 - 4.00604i) q^{38} +(-0.0678970 + 0.472234i) q^{39} +(-1.79734 - 1.33025i) q^{40} +(1.35119 - 0.868354i) q^{41} +(-0.0271051 + 0.0234867i) q^{42} +(-2.28629 + 7.78640i) q^{43} +(-2.07071 + 4.53422i) q^{44} +(-6.65203 + 0.512218i) q^{45} +(1.11932 - 4.66338i) q^{46} +5.98632i q^{47} +(-0.116183 - 0.0530590i) q^{48} +(-6.64080 - 1.94991i) q^{49} +(3.23292 - 3.81421i) q^{50} +(0.825125 - 0.530276i) q^{51} +(2.82294 + 2.44609i) q^{52} +(10.5552 + 1.51760i) q^{53} +(-0.733310 + 0.215319i) q^{54} +(-9.81163 - 5.28834i) q^{55} +(0.0399619 + 0.277941i) q^{56} +(0.485083 - 0.221530i) q^{57} +(-2.13286 + 0.974046i) q^{58} +(-1.46074 - 10.1597i) q^{59} +(0.135506 - 0.251410i) q^{60} +(10.4089 - 3.05634i) q^{61} +(3.28980 + 0.473003i) q^{62} +(0.633179 + 0.548653i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-5.87372 + 5.93810i) q^{65} +(-0.610879 - 0.179370i) q^{66} +(-8.30299 - 3.79185i) q^{67} -7.67920i q^{68} +(0.609915 + 0.0567427i) q^{69} +(-0.626032 + 0.0482056i) q^{70} +(-1.57188 + 3.44193i) q^{71} +(-0.840602 + 2.86283i) q^{72} +(7.70105 - 6.67300i) q^{73} +(7.09543 - 4.55996i) q^{74} +(0.540978 + 0.339391i) q^{75} +(0.594188 - 4.13267i) q^{76} +(0.394338 + 1.34299i) q^{77} +(-0.257934 + 0.401354i) q^{78} +(0.687186 + 4.77948i) q^{79} +(-1.08231 - 1.95668i) q^{80} +(3.67785 + 8.05337i) q^{81} +(1.58981 - 0.228580i) q^{82} +(-6.83669 + 10.6381i) q^{83} +(-0.0344123 + 0.0101044i) q^{84} +(17.1339 + 1.13161i) q^{85} +(-5.31428 + 6.13300i) q^{86} +(-0.161914 - 0.251942i) q^{87} +(-3.76716 + 3.26427i) q^{88} +(-5.36601 - 1.57560i) q^{89} +(-6.26369 - 2.29742i) q^{90} +1.04886 q^{91} +(2.95541 - 3.77698i) q^{92} +0.424512i q^{93} +(-2.48681 + 5.44534i) q^{94} +(9.13328 + 1.93475i) q^{95} +(-0.0836423 - 0.0965284i) q^{96} +(-2.46614 - 3.83739i) q^{97} +(-5.23066 - 4.53239i) q^{98} +(-2.11660 + 14.7213i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.909632 + 0.415415i 0.643207 + 0.293743i
\(3\) −0.0359844 + 0.122552i −0.0207756 + 0.0707552i −0.969228 0.246163i \(-0.920830\pi\)
0.948453 + 0.316919i \(0.102648\pi\)
\(4\) 0.654861 + 0.755750i 0.327430 + 0.377875i
\(5\) −1.78273 + 1.34976i −0.797263 + 0.603632i
\(6\) −0.0836423 + 0.0965284i −0.0341468 + 0.0394075i
\(7\) 0.277941 + 0.0399619i 0.105052 + 0.0151042i 0.194640 0.980875i \(-0.437646\pi\)
−0.0895884 + 0.995979i \(0.528555\pi\)
\(8\) 0.281733 + 0.959493i 0.0996075 + 0.339232i
\(9\) 2.51004 + 1.61310i 0.836679 + 0.537701i
\(10\) −2.18234 + 0.487212i −0.690118 + 0.154070i
\(11\) 2.07071 + 4.53422i 0.624342 + 1.36712i 0.912319 + 0.409480i \(0.134290\pi\)
−0.287977 + 0.957637i \(0.592983\pi\)
\(12\) −0.116183 + 0.0530590i −0.0335392 + 0.0153168i
\(13\) 3.69726 0.531586i 1.02544 0.147435i 0.390984 0.920397i \(-0.372135\pi\)
0.634452 + 0.772962i \(0.281226\pi\)
\(14\) 0.236223 + 0.151811i 0.0631333 + 0.0405733i
\(15\) −0.101265 0.267047i −0.0261465 0.0689513i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) −5.80355 5.02880i −1.40757 1.21966i −0.942420 0.334431i \(-0.891456\pi\)
−0.465147 0.885233i \(-0.653999\pi\)
\(18\) 1.61310 + 2.51004i 0.380212 + 0.591621i
\(19\) −2.73415 3.15538i −0.627258 0.723894i 0.349811 0.936820i \(-0.386246\pi\)
−0.977068 + 0.212927i \(0.931700\pi\)
\(20\) −2.18752 0.463395i −0.489145 0.103618i
\(21\) −0.0148989 + 0.0326241i −0.00325121 + 0.00711916i
\(22\) 4.98467i 1.06274i
\(23\) −0.919072 4.70694i −0.191640 0.981465i
\(24\) −0.127725 −0.0260718
\(25\) 1.35629 4.81253i 0.271257 0.962507i
\(26\) 3.58398 + 1.05235i 0.702876 + 0.206383i
\(27\) −0.577595 + 0.500489i −0.111158 + 0.0963192i
\(28\) 0.151811 + 0.236223i 0.0286897 + 0.0446420i
\(29\) −1.53549 + 1.77205i −0.285133 + 0.329061i −0.880189 0.474623i \(-0.842584\pi\)
0.595056 + 0.803684i \(0.297130\pi\)
\(30\) 0.0188217 0.284982i 0.00343636 0.0520303i
\(31\) 3.18900 0.936376i 0.572762 0.168178i 0.0174902 0.999847i \(-0.494432\pi\)
0.555272 + 0.831669i \(0.312614\pi\)
\(32\) −0.540641 + 0.841254i −0.0955727 + 0.148714i
\(33\) −0.630188 + 0.0906074i −0.109702 + 0.0157727i
\(34\) −3.19005 6.98524i −0.547090 1.19796i
\(35\) −0.549434 + 0.303913i −0.0928712 + 0.0513706i
\(36\) 0.424623 + 2.95332i 0.0707705 + 0.492219i
\(37\) 4.55996 7.09543i 0.749652 1.16648i −0.231423 0.972853i \(-0.574338\pi\)
0.981075 0.193628i \(-0.0620255\pi\)
\(38\) −1.17628 4.00604i −0.190818 0.649866i
\(39\) −0.0678970 + 0.472234i −0.0108722 + 0.0756180i
\(40\) −1.79734 1.33025i −0.284185 0.210331i
\(41\) 1.35119 0.868354i 0.211020 0.135614i −0.430862 0.902418i \(-0.641790\pi\)
0.641882 + 0.766804i \(0.278154\pi\)
\(42\) −0.0271051 + 0.0234867i −0.00418240 + 0.00362407i
\(43\) −2.28629 + 7.78640i −0.348657 + 1.18742i 0.579421 + 0.815028i \(0.303279\pi\)
−0.928078 + 0.372387i \(0.878539\pi\)
\(44\) −2.07071 + 4.53422i −0.312171 + 0.683559i
\(45\) −6.65203 + 0.512218i −0.991627 + 0.0763570i
\(46\) 1.11932 4.66338i 0.165034 0.687578i
\(47\) 5.98632i 0.873194i 0.899657 + 0.436597i \(0.143816\pi\)
−0.899657 + 0.436597i \(0.856184\pi\)
\(48\) −0.116183 0.0530590i −0.0167696 0.00765841i
\(49\) −6.64080 1.94991i −0.948685 0.278559i
\(50\) 3.23292 3.81421i 0.457204 0.539411i
\(51\) 0.825125 0.530276i 0.115541 0.0742534i
\(52\) 2.82294 + 2.44609i 0.391471 + 0.339212i
\(53\) 10.5552 + 1.51760i 1.44986 + 0.208459i 0.821832 0.569731i \(-0.192952\pi\)
0.628030 + 0.778189i \(0.283862\pi\)
\(54\) −0.733310 + 0.215319i −0.0997909 + 0.0293012i
\(55\) −9.81163 5.28834i −1.32300 0.713080i
\(56\) 0.0399619 + 0.277941i 0.00534013 + 0.0371414i
\(57\) 0.485083 0.221530i 0.0642509 0.0293424i
\(58\) −2.13286 + 0.974046i −0.280059 + 0.127899i
\(59\) −1.46074 10.1597i −0.190173 1.32268i −0.831548 0.555453i \(-0.812545\pi\)
0.641375 0.767227i \(-0.278364\pi\)
\(60\) 0.135506 0.251410i 0.0174938 0.0324568i
\(61\) 10.4089 3.05634i 1.33273 0.391325i 0.463659 0.886014i \(-0.346536\pi\)
0.869070 + 0.494689i \(0.164718\pi\)
\(62\) 3.28980 + 0.473003i 0.417806 + 0.0600714i
\(63\) 0.633179 + 0.548653i 0.0797731 + 0.0691238i
\(64\) −0.841254 + 0.540641i −0.105157 + 0.0675801i
\(65\) −5.87372 + 5.93810i −0.728546 + 0.736531i
\(66\) −0.610879 0.179370i −0.0751940 0.0220790i
\(67\) −8.30299 3.79185i −1.01437 0.463248i −0.162338 0.986735i \(-0.551903\pi\)
−0.852033 + 0.523487i \(0.824631\pi\)
\(68\) 7.67920i 0.931239i
\(69\) 0.609915 + 0.0567427i 0.0734252 + 0.00683102i
\(70\) −0.626032 + 0.0482056i −0.0748252 + 0.00576167i
\(71\) −1.57188 + 3.44193i −0.186547 + 0.408482i −0.979680 0.200567i \(-0.935721\pi\)
0.793133 + 0.609049i \(0.208449\pi\)
\(72\) −0.840602 + 2.86283i −0.0990658 + 0.337387i
\(73\) 7.70105 6.67300i 0.901340 0.781015i −0.0750167 0.997182i \(-0.523901\pi\)
0.976356 + 0.216167i \(0.0693556\pi\)
\(74\) 7.09543 4.55996i 0.824827 0.530084i
\(75\) 0.540978 + 0.339391i 0.0624668 + 0.0391895i
\(76\) 0.594188 4.13267i 0.0681580 0.474050i
\(77\) 0.394338 + 1.34299i 0.0449390 + 0.153048i
\(78\) −0.257934 + 0.401354i −0.0292053 + 0.0454444i
\(79\) 0.687186 + 4.77948i 0.0773145 + 0.537734i 0.991263 + 0.131903i \(0.0421087\pi\)
−0.913948 + 0.405831i \(0.866982\pi\)
\(80\) −1.08231 1.95668i −0.121006 0.218763i
\(81\) 3.67785 + 8.05337i 0.408650 + 0.894819i
\(82\) 1.58981 0.228580i 0.175565 0.0252424i
\(83\) −6.83669 + 10.6381i −0.750425 + 1.16768i 0.230458 + 0.973082i \(0.425978\pi\)
−0.980882 + 0.194601i \(0.937659\pi\)
\(84\) −0.0344123 + 0.0101044i −0.00375469 + 0.00110248i
\(85\) 17.1339 + 1.13161i 1.85843 + 0.122741i
\(86\) −5.31428 + 6.13300i −0.573053 + 0.661339i
\(87\) −0.161914 0.251942i −0.0173590 0.0270111i
\(88\) −3.76716 + 3.26427i −0.401581 + 0.347972i
\(89\) −5.36601 1.57560i −0.568796 0.167014i −0.0153257 0.999883i \(-0.504879\pi\)
−0.553470 + 0.832869i \(0.686697\pi\)
\(90\) −6.26369 2.29742i −0.660250 0.242170i
\(91\) 1.04886 0.109951
\(92\) 2.95541 3.77698i 0.308122 0.393777i
\(93\) 0.424512i 0.0440199i
\(94\) −2.48681 + 5.44534i −0.256494 + 0.561644i
\(95\) 9.13328 + 1.93475i 0.937055 + 0.198501i
\(96\) −0.0836423 0.0965284i −0.00853671 0.00985188i
\(97\) −2.46614 3.83739i −0.250398 0.389628i 0.693186 0.720758i \(-0.256206\pi\)
−0.943585 + 0.331131i \(0.892570\pi\)
\(98\) −5.23066 4.53239i −0.528376 0.457841i
\(99\) −2.11660 + 14.7213i −0.212727 + 1.47955i
\(100\) 4.52525 2.12653i 0.452525 0.212653i
\(101\) 1.61923 + 1.04062i 0.161119 + 0.103545i 0.618716 0.785615i \(-0.287653\pi\)
−0.457596 + 0.889160i \(0.651290\pi\)
\(102\) 0.970844 0.139586i 0.0961279 0.0138211i
\(103\) −13.7653 + 6.28640i −1.35633 + 0.619417i −0.955025 0.296525i \(-0.904172\pi\)
−0.401310 + 0.915943i \(0.631445\pi\)
\(104\) 1.55169 + 3.39773i 0.152156 + 0.333175i
\(105\) −0.0174739 0.0782701i −0.00170528 0.00763838i
\(106\) 8.97087 + 5.76523i 0.871328 + 0.559968i
\(107\) −2.00341 6.82299i −0.193677 0.659603i −0.997870 0.0652348i \(-0.979220\pi\)
0.804193 0.594368i \(-0.202598\pi\)
\(108\) −0.756489 0.108767i −0.0727932 0.0104661i
\(109\) 6.96543 8.03854i 0.667167 0.769952i −0.316763 0.948505i \(-0.602596\pi\)
0.983930 + 0.178553i \(0.0571415\pi\)
\(110\) −6.72812 8.88634i −0.641501 0.847280i
\(111\) 0.705469 + 0.814154i 0.0669601 + 0.0772761i
\(112\) −0.0791102 + 0.269425i −0.00747521 + 0.0254582i
\(113\) −11.3093 5.16480i −1.06389 0.485864i −0.194969 0.980809i \(-0.562461\pi\)
−0.868924 + 0.494946i \(0.835188\pi\)
\(114\) 0.533274 0.0499457
\(115\) 7.99171 + 7.15070i 0.745231 + 0.666806i
\(116\) −2.34475 −0.217705
\(117\) 10.1378 + 4.62976i 0.937237 + 0.428022i
\(118\) 2.89175 9.84840i 0.266207 0.906619i
\(119\) −1.41208 1.62963i −0.129445 0.149388i
\(120\) 0.227700 0.172399i 0.0207861 0.0157378i
\(121\) −9.06782 + 10.4648i −0.824347 + 0.951347i
\(122\) 10.7380 + 1.54389i 0.972170 + 0.139777i
\(123\) 0.0577966 + 0.196837i 0.00521134 + 0.0177482i
\(124\) 2.79602 + 1.79689i 0.251090 + 0.161366i
\(125\) 4.07788 + 10.4101i 0.364737 + 0.931111i
\(126\) 0.348041 + 0.762104i 0.0310060 + 0.0678936i
\(127\) −16.4027 + 7.49084i −1.45550 + 0.664705i −0.976972 0.213368i \(-0.931557\pi\)
−0.478528 + 0.878072i \(0.658830\pi\)
\(128\) −0.989821 + 0.142315i −0.0874887 + 0.0125790i
\(129\) −0.871965 0.560378i −0.0767722 0.0493385i
\(130\) −7.80971 + 2.96145i −0.684956 + 0.259737i
\(131\) −0.239081 + 1.66284i −0.0208886 + 0.145283i −0.997597 0.0692895i \(-0.977927\pi\)
0.976708 + 0.214573i \(0.0688359\pi\)
\(132\) −0.481162 0.416929i −0.0418798 0.0362890i
\(133\) −0.633838 0.986271i −0.0549607 0.0855205i
\(134\) −5.97747 6.89837i −0.516375 0.595929i
\(135\) 0.354158 1.67186i 0.0304811 0.143890i
\(136\) 3.19005 6.98524i 0.273545 0.598980i
\(137\) 0.809274i 0.0691410i 0.999402 + 0.0345705i \(0.0110063\pi\)
−0.999402 + 0.0345705i \(0.988994\pi\)
\(138\) 0.531227 + 0.304983i 0.0452210 + 0.0259619i
\(139\) 14.9861 1.27111 0.635554 0.772057i \(-0.280772\pi\)
0.635554 + 0.772057i \(0.280772\pi\)
\(140\) −0.589484 0.216214i −0.0498205 0.0182734i
\(141\) −0.733632 0.215414i −0.0617830 0.0181411i
\(142\) −2.85966 + 2.47791i −0.239977 + 0.207941i
\(143\) 10.0663 + 15.6634i 0.841784 + 1.30984i
\(144\) −1.95390 + 2.25492i −0.162825 + 0.187910i
\(145\) 0.345525 5.23163i 0.0286943 0.434463i
\(146\) 9.77718 2.87084i 0.809166 0.237592i
\(147\) 0.477930 0.743673i 0.0394190 0.0613372i
\(148\) 8.34850 1.20033i 0.686243 0.0986668i
\(149\) 4.53178 + 9.92321i 0.371258 + 0.812941i 0.999393 + 0.0348367i \(0.0110911\pi\)
−0.628135 + 0.778104i \(0.716182\pi\)
\(150\) 0.351103 + 0.533451i 0.0286675 + 0.0435561i
\(151\) −1.99528 13.8775i −0.162374 1.12933i −0.894143 0.447781i \(-0.852214\pi\)
0.731770 0.681552i \(-0.238695\pi\)
\(152\) 2.25727 3.51237i 0.183088 0.284891i
\(153\) −6.45514 21.9842i −0.521868 1.77732i
\(154\) −0.199197 + 1.38544i −0.0160517 + 0.111642i
\(155\) −4.42126 + 5.97371i −0.355124 + 0.479820i
\(156\) −0.401354 + 0.257934i −0.0321340 + 0.0206513i
\(157\) −2.38154 + 2.06362i −0.190068 + 0.164695i −0.744696 0.667403i \(-0.767406\pi\)
0.554629 + 0.832098i \(0.312860\pi\)
\(158\) −1.36038 + 4.63304i −0.108226 + 0.368585i
\(159\) −0.565805 + 1.23894i −0.0448713 + 0.0982543i
\(160\) −0.171673 2.22947i −0.0135719 0.176255i
\(161\) −0.0673495 1.34498i −0.00530788 0.105999i
\(162\) 8.85344i 0.695592i
\(163\) 10.4484 + 4.77165i 0.818386 + 0.373744i 0.780203 0.625527i \(-0.215116\pi\)
0.0381828 + 0.999271i \(0.487843\pi\)
\(164\) 1.54110 + 0.452507i 0.120339 + 0.0353348i
\(165\) 1.00116 1.01213i 0.0779402 0.0787945i
\(166\) −10.6381 + 6.83669i −0.825677 + 0.530630i
\(167\) 10.4103 + 9.02060i 0.805575 + 0.698035i 0.956890 0.290451i \(-0.0938052\pi\)
−0.151315 + 0.988486i \(0.548351\pi\)
\(168\) −0.0355001 0.00510414i −0.00273889 0.000393793i
\(169\) 0.913765 0.268306i 0.0702896 0.0206389i
\(170\) 15.1154 + 8.14702i 1.15930 + 0.624848i
\(171\) −1.77287 12.3306i −0.135575 0.942944i
\(172\) −7.38178 + 3.37114i −0.562855 + 0.257047i
\(173\) −5.24943 + 2.39734i −0.399107 + 0.182266i −0.604849 0.796340i \(-0.706767\pi\)
0.205742 + 0.978606i \(0.434039\pi\)
\(174\) −0.0426211 0.296436i −0.00323110 0.0224728i
\(175\) 0.569285 1.28340i 0.0430339 0.0970159i
\(176\) −4.78276 + 1.40434i −0.360514 + 0.105856i
\(177\) 1.29765 + 0.186574i 0.0975374 + 0.0140238i
\(178\) −4.22656 3.66234i −0.316794 0.274504i
\(179\) −6.13268 + 3.94123i −0.458378 + 0.294582i −0.749379 0.662141i \(-0.769648\pi\)
0.291001 + 0.956723i \(0.406012\pi\)
\(180\) −4.74326 4.69184i −0.353542 0.349709i
\(181\) −6.47102 1.90006i −0.480987 0.141231i 0.0322457 0.999480i \(-0.489734\pi\)
−0.513233 + 0.858249i \(0.671552\pi\)
\(182\) 0.954080 + 0.435714i 0.0707211 + 0.0322972i
\(183\) 1.38561i 0.102427i
\(184\) 4.25735 2.20794i 0.313856 0.162772i
\(185\) 1.44795 + 18.8041i 0.106455 + 1.38251i
\(186\) −0.176349 + 0.386150i −0.0129305 + 0.0283139i
\(187\) 10.7842 36.7277i 0.788621 2.68580i
\(188\) −4.52416 + 3.92020i −0.329958 + 0.285910i
\(189\) −0.180538 + 0.116025i −0.0131322 + 0.00843955i
\(190\) 7.50420 + 5.55401i 0.544412 + 0.402930i
\(191\) −1.27458 + 8.86490i −0.0922254 + 0.641442i 0.890309 + 0.455358i \(0.150489\pi\)
−0.982534 + 0.186084i \(0.940420\pi\)
\(192\) −0.0359844 0.122552i −0.00259695 0.00884440i
\(193\) −1.38166 + 2.14990i −0.0994540 + 0.154753i −0.887415 0.460972i \(-0.847501\pi\)
0.787960 + 0.615726i \(0.211137\pi\)
\(194\) −0.649171 4.51508i −0.0466077 0.324164i
\(195\) −0.516361 0.933513i −0.0369774 0.0668503i
\(196\) −2.87515 6.29570i −0.205368 0.449693i
\(197\) −6.50936 + 0.935904i −0.463773 + 0.0666804i −0.370241 0.928936i \(-0.620725\pi\)
−0.0935319 + 0.995616i \(0.529816\pi\)
\(198\) −8.04079 + 12.5117i −0.571434 + 0.889168i
\(199\) 8.55843 2.51298i 0.606691 0.178140i 0.0360633 0.999350i \(-0.488518\pi\)
0.570627 + 0.821209i \(0.306700\pi\)
\(200\) 4.99970 0.0545014i 0.353532 0.00385383i
\(201\) 0.763475 0.881097i 0.0538514 0.0621478i
\(202\) 1.04062 + 1.61923i 0.0732175 + 0.113929i
\(203\) −0.497589 + 0.431163i −0.0349239 + 0.0302617i
\(204\) 0.941097 + 0.276331i 0.0658900 + 0.0193470i
\(205\) −1.23673 + 3.37182i −0.0863772 + 0.235498i
\(206\) −15.1328 −1.05435
\(207\) 5.28588 13.2972i 0.367394 0.924216i
\(208\) 3.73528i 0.258995i
\(209\) 8.64555 18.9311i 0.598025 1.30949i
\(210\) 0.0166197 0.0784559i 0.00114687 0.00541397i
\(211\) −9.02200 10.4119i −0.621100 0.716788i 0.354815 0.934936i \(-0.384544\pi\)
−0.975916 + 0.218149i \(0.929998\pi\)
\(212\) 5.76523 + 8.97087i 0.395957 + 0.616122i
\(213\) −0.365251 0.316492i −0.0250266 0.0216856i
\(214\) 1.01201 7.03865i 0.0691793 0.481152i
\(215\) −6.43394 16.9670i −0.438791 1.15714i
\(216\) −0.642943 0.413195i −0.0437468 0.0281143i
\(217\) 0.923774 0.132819i 0.0627098 0.00901631i
\(218\) 9.67531 4.41856i 0.655294 0.299263i
\(219\) 0.540669 + 1.18390i 0.0365350 + 0.0800005i
\(220\) −2.42859 10.8783i −0.163736 0.733412i
\(221\) −24.1305 15.5077i −1.62319 1.04316i
\(222\) 0.303505 + 1.03364i 0.0203699 + 0.0693736i
\(223\) −0.341892 0.0491567i −0.0228948 0.00329177i 0.130858 0.991401i \(-0.458227\pi\)
−0.153753 + 0.988109i \(0.549136\pi\)
\(224\) −0.183884 + 0.212214i −0.0122863 + 0.0141791i
\(225\) 11.1674 9.89181i 0.744496 0.659454i
\(226\) −8.14180 9.39614i −0.541584 0.625022i
\(227\) −2.18901 + 7.45510i −0.145290 + 0.494812i −0.999692 0.0247995i \(-0.992105\pi\)
0.854402 + 0.519612i \(0.173923\pi\)
\(228\) 0.485083 + 0.221530i 0.0321254 + 0.0146712i
\(229\) −7.14024 −0.471841 −0.235920 0.971772i \(-0.575810\pi\)
−0.235920 + 0.971772i \(0.575810\pi\)
\(230\) 4.29901 + 9.82438i 0.283468 + 0.647801i
\(231\) −0.178776 −0.0117626
\(232\) −2.13286 0.974046i −0.140029 0.0639493i
\(233\) 2.52146 8.58730i 0.165186 0.562573i −0.834743 0.550640i \(-0.814384\pi\)
0.999929 0.0119323i \(-0.00379827\pi\)
\(234\) 7.29837 + 8.42276i 0.477109 + 0.550613i
\(235\) −8.08010 10.6720i −0.527088 0.696165i
\(236\) 6.72160 7.75714i 0.437539 0.504947i
\(237\) −0.610461 0.0877711i −0.0396537 0.00570134i
\(238\) −0.607503 2.06896i −0.0393786 0.134111i
\(239\) −16.1199 10.3596i −1.04271 0.670107i −0.0970521 0.995279i \(-0.530941\pi\)
−0.945655 + 0.325172i \(0.894578\pi\)
\(240\) 0.278741 0.0622293i 0.0179926 0.00401688i
\(241\) −6.46276 14.1515i −0.416303 0.911576i −0.995354 0.0962849i \(-0.969304\pi\)
0.579051 0.815291i \(-0.303423\pi\)
\(242\) −12.5956 + 5.75223i −0.809677 + 0.369767i
\(243\) −3.38877 + 0.487231i −0.217389 + 0.0312559i
\(244\) 9.12624 + 5.86508i 0.584248 + 0.375473i
\(245\) 14.4707 5.48732i 0.924499 0.350572i
\(246\) −0.0291954 + 0.203059i −0.00186143 + 0.0129466i
\(247\) −11.7862 10.2128i −0.749940 0.649827i
\(248\) 1.79689 + 2.79602i 0.114103 + 0.177547i
\(249\) −1.05770 1.22065i −0.0670291 0.0773557i
\(250\) −0.615157 + 11.1634i −0.0389059 + 0.706036i
\(251\) −8.44330 + 18.4883i −0.532937 + 1.16697i 0.431369 + 0.902176i \(0.358031\pi\)
−0.964305 + 0.264793i \(0.914697\pi\)
\(252\) 0.837816i 0.0527774i
\(253\) 19.4392 13.9140i 1.22213 0.874764i
\(254\) −18.0322 −1.13144
\(255\) −0.755233 + 2.05906i −0.0472945 + 0.128944i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) −11.5971 + 10.0489i −0.723405 + 0.626834i −0.936692 0.350155i \(-0.886129\pi\)
0.213286 + 0.976990i \(0.431583\pi\)
\(258\) −0.560378 0.871965i −0.0348876 0.0542862i
\(259\) 1.55094 1.78989i 0.0963710 0.111218i
\(260\) −8.33419 0.550435i −0.516865 0.0341365i
\(261\) −6.71262 + 1.97100i −0.415501 + 0.122002i
\(262\) −0.908245 + 1.41326i −0.0561116 + 0.0873113i
\(263\) 14.7581 2.12189i 0.910024 0.130842i 0.328625 0.944460i \(-0.393415\pi\)
0.581399 + 0.813619i \(0.302506\pi\)
\(264\) −0.264482 0.579134i −0.0162777 0.0356432i
\(265\) −20.8654 + 11.5415i −1.28175 + 0.708986i
\(266\) −0.166847 1.16045i −0.0102301 0.0711517i
\(267\) 0.386185 0.600916i 0.0236341 0.0367754i
\(268\) −2.57161 8.75811i −0.157086 0.534987i
\(269\) −1.18916 + 8.27078i −0.0725043 + 0.504279i 0.920917 + 0.389759i \(0.127442\pi\)
−0.993421 + 0.114519i \(0.963467\pi\)
\(270\) 1.01667 1.37365i 0.0618724 0.0835977i
\(271\) 1.99805 1.28407i 0.121373 0.0780015i −0.478546 0.878063i \(-0.658836\pi\)
0.599919 + 0.800061i \(0.295200\pi\)
\(272\) 5.80355 5.02880i 0.351892 0.304916i
\(273\) −0.0377427 + 0.128540i −0.00228429 + 0.00777959i
\(274\) −0.336185 + 0.736142i −0.0203097 + 0.0444720i
\(275\) 24.6295 3.81566i 1.48522 0.230093i
\(276\) 0.356526 + 0.498102i 0.0214604 + 0.0299822i
\(277\) 9.82954i 0.590600i 0.955405 + 0.295300i \(0.0954196\pi\)
−0.955405 + 0.295300i \(0.904580\pi\)
\(278\) 13.6319 + 6.22546i 0.817585 + 0.373379i
\(279\) 9.51499 + 2.79385i 0.569647 + 0.167264i
\(280\) −0.446395 0.441556i −0.0266772 0.0263880i
\(281\) 14.1872 9.11754i 0.846336 0.543907i −0.0440942 0.999027i \(-0.514040\pi\)
0.890430 + 0.455120i \(0.150404\pi\)
\(282\) −0.577849 0.500709i −0.0344104 0.0298168i
\(283\) 3.63199 + 0.522201i 0.215899 + 0.0310416i 0.249416 0.968397i \(-0.419762\pi\)
−0.0335164 + 0.999438i \(0.510671\pi\)
\(284\) −3.63060 + 1.06604i −0.215436 + 0.0632578i
\(285\) −0.565762 + 1.04968i −0.0335128 + 0.0621775i
\(286\) 2.64978 + 18.4296i 0.156685 + 1.08977i
\(287\) 0.410251 0.187355i 0.0242163 0.0110592i
\(288\) −2.71406 + 1.23947i −0.159927 + 0.0730364i
\(289\) 5.97296 + 41.5429i 0.351351 + 2.44370i
\(290\) 2.48760 4.61532i 0.146077 0.271021i
\(291\) 0.559020 0.164143i 0.0327703 0.00962224i
\(292\) 10.0862 + 1.45018i 0.590252 + 0.0848654i
\(293\) −12.8772 11.1581i −0.752293 0.651866i 0.191842 0.981426i \(-0.438554\pi\)
−0.944134 + 0.329560i \(0.893099\pi\)
\(294\) 0.743673 0.477930i 0.0433719 0.0278734i
\(295\) 16.3173 + 16.1404i 0.950030 + 0.939730i
\(296\) 8.09270 + 2.37623i 0.470379 + 0.138116i
\(297\) −3.46536 1.58258i −0.201080 0.0918303i
\(298\) 10.9090i 0.631943i
\(299\) −5.90020 16.9142i −0.341217 0.978176i
\(300\) 0.0977710 + 0.631098i 0.00564481 + 0.0364365i
\(301\) −0.946614 + 2.07279i −0.0545619 + 0.119474i
\(302\) 3.94994 13.4523i 0.227294 0.774091i
\(303\) −0.185796 + 0.160993i −0.0106737 + 0.00924882i
\(304\) 3.51237 2.25727i 0.201448 0.129463i
\(305\) −14.4311 + 19.4983i −0.826320 + 1.11647i
\(306\) 3.26076 22.6791i 0.186405 1.29648i
\(307\) 0.588388 + 2.00387i 0.0335811 + 0.114367i 0.974578 0.224048i \(-0.0719274\pi\)
−0.940997 + 0.338415i \(0.890109\pi\)
\(308\) −0.756730 + 1.17749i −0.0431187 + 0.0670940i
\(309\) −0.275072 1.91317i −0.0156483 0.108836i
\(310\) −6.50329 + 3.59722i −0.369362 + 0.204308i
\(311\) −5.77456 12.6445i −0.327445 0.717005i 0.672284 0.740294i \(-0.265313\pi\)
−0.999729 + 0.0232890i \(0.992586\pi\)
\(312\) −0.472234 + 0.0678970i −0.0267350 + 0.00384391i
\(313\) −5.59660 + 8.70847i −0.316338 + 0.492232i −0.962616 0.270870i \(-0.912689\pi\)
0.646277 + 0.763103i \(0.276325\pi\)
\(314\) −3.02358 + 0.887804i −0.170631 + 0.0501017i
\(315\) −1.86934 0.123461i −0.105325 0.00695626i
\(316\) −3.16208 + 3.64924i −0.177881 + 0.205286i
\(317\) 0.919290 + 1.43044i 0.0516325 + 0.0803417i 0.866110 0.499853i \(-0.166613\pi\)
−0.814478 + 0.580195i \(0.802976\pi\)
\(318\) −1.02935 + 0.891936i −0.0577230 + 0.0500173i
\(319\) −11.2144 3.29284i −0.627885 0.184364i
\(320\) 0.769995 2.09931i 0.0430441 0.117355i
\(321\) 0.908259 0.0506941
\(322\) 0.497461 1.25141i 0.0277224 0.0697386i
\(323\) 32.0619i 1.78397i
\(324\) −3.67785 + 8.05337i −0.204325 + 0.447410i
\(325\) 2.45627 18.5142i 0.136249 1.02698i
\(326\) 7.52203 + 8.68088i 0.416607 + 0.480790i
\(327\) 0.734488 + 1.14289i 0.0406173 + 0.0632017i
\(328\) 1.21385 + 1.05181i 0.0670238 + 0.0580764i
\(329\) −0.239224 + 1.66384i −0.0131889 + 0.0917306i
\(330\) 1.33114 0.504772i 0.0732770 0.0277868i
\(331\) −1.82523 1.17300i −0.100324 0.0644741i 0.489517 0.871994i \(-0.337173\pi\)
−0.589841 + 0.807520i \(0.700809\pi\)
\(332\) −12.5168 + 1.79965i −0.686950 + 0.0987685i
\(333\) 22.8913 10.4541i 1.25444 0.572882i
\(334\) 5.72228 + 12.5300i 0.313109 + 0.685613i
\(335\) 19.9201 4.44720i 1.08835 0.242976i
\(336\) −0.0301717 0.0193902i −0.00164600 0.00105782i
\(337\) 4.43691 + 15.1107i 0.241694 + 0.823134i 0.987588 + 0.157069i \(0.0502046\pi\)
−0.745894 + 0.666065i \(0.767977\pi\)
\(338\) 0.942648 + 0.135532i 0.0512733 + 0.00737199i
\(339\) 1.03991 1.20012i 0.0564804 0.0651818i
\(340\) 10.3651 + 13.6900i 0.562126 + 0.742443i
\(341\) 10.8492 + 12.5207i 0.587518 + 0.678032i
\(342\) 3.50965 11.9528i 0.189780 0.646332i
\(343\) −3.55579 1.62388i −0.191995 0.0876811i
\(344\) −8.11512 −0.437538
\(345\) −1.16391 + 0.722083i −0.0626626 + 0.0388757i
\(346\) −5.77094 −0.310248
\(347\) 7.23170 + 3.30261i 0.388218 + 0.177293i 0.599956 0.800033i \(-0.295185\pi\)
−0.211738 + 0.977327i \(0.567912\pi\)
\(348\) 0.0843745 0.287353i 0.00452295 0.0154037i
\(349\) 8.39969 + 9.69375i 0.449625 + 0.518895i 0.934632 0.355615i \(-0.115729\pi\)
−0.485008 + 0.874510i \(0.661183\pi\)
\(350\) 1.05098 0.930932i 0.0561774 0.0497604i
\(351\) −1.86947 + 2.15748i −0.0997849 + 0.115158i
\(352\) −4.93393 0.709393i −0.262980 0.0378108i
\(353\) −2.41739 8.23286i −0.128665 0.438191i 0.869811 0.493385i \(-0.164241\pi\)
−0.998476 + 0.0551937i \(0.982422\pi\)
\(354\) 1.10288 + 0.708777i 0.0586174 + 0.0376711i
\(355\) −1.84355 8.25770i −0.0978453 0.438273i
\(356\) −2.32323 5.08716i −0.123131 0.269619i
\(357\) 0.250527 0.114412i 0.0132593 0.00605531i
\(358\) −7.21573 + 1.03747i −0.381363 + 0.0548318i
\(359\) 23.6966 + 15.2289i 1.25066 + 0.803749i 0.986977 0.160861i \(-0.0514271\pi\)
0.263681 + 0.964610i \(0.415063\pi\)
\(360\) −2.36556 6.23827i −0.124676 0.328786i
\(361\) 0.223148 1.55203i 0.0117447 0.0816858i
\(362\) −5.09693 4.41652i −0.267889 0.232127i
\(363\) −0.956180 1.48785i −0.0501864 0.0780916i
\(364\) 0.686860 + 0.792678i 0.0360012 + 0.0415476i
\(365\) −4.72197 + 22.2908i −0.247159 + 1.16675i
\(366\) −0.575605 + 1.26040i −0.0300873 + 0.0658821i
\(367\) 7.72825i 0.403411i −0.979446 0.201706i \(-0.935352\pi\)
0.979446 0.201706i \(-0.0646484\pi\)
\(368\) 4.78983 0.239849i 0.249687 0.0125030i
\(369\) 4.79227 0.249476
\(370\) −6.49441 + 17.7063i −0.337628 + 0.920508i
\(371\) 2.87306 + 0.843607i 0.149162 + 0.0437979i
\(372\) −0.320825 + 0.277996i −0.0166340 + 0.0144134i
\(373\) 10.5439 + 16.4067i 0.545944 + 0.849505i 0.999121 0.0419151i \(-0.0133459\pi\)
−0.453177 + 0.891420i \(0.649710\pi\)
\(374\) 25.0669 28.9288i 1.29618 1.49587i
\(375\) −1.42252 + 0.125148i −0.0734585 + 0.00646262i
\(376\) −5.74383 + 1.68654i −0.296215 + 0.0869767i
\(377\) −4.73511 + 7.36797i −0.243870 + 0.379470i
\(378\) −0.212421 + 0.0305416i −0.0109258 + 0.00157089i
\(379\) 10.7155 + 23.4636i 0.550417 + 1.20525i 0.956587 + 0.291448i \(0.0941371\pi\)
−0.406169 + 0.913798i \(0.633136\pi\)
\(380\) 4.51884 + 8.16946i 0.231812 + 0.419085i
\(381\) −0.327775 2.27972i −0.0167924 0.116794i
\(382\) −4.84201 + 7.53432i −0.247739 + 0.385489i
\(383\) −6.97756 23.7634i −0.356537 1.21425i −0.921252 0.388966i \(-0.872832\pi\)
0.564715 0.825286i \(-0.308986\pi\)
\(384\) 0.0181772 0.126425i 0.000927602 0.00645161i
\(385\) −2.51572 1.86194i −0.128213 0.0948931i
\(386\) −2.14990 + 1.38166i −0.109427 + 0.0703246i
\(387\) −18.2990 + 15.8561i −0.930188 + 0.806012i
\(388\) 1.28513 4.37674i 0.0652424 0.222195i
\(389\) 15.0325 32.9167i 0.762180 1.66894i 0.0190271 0.999819i \(-0.493943\pi\)
0.743153 0.669122i \(-0.233330\pi\)
\(390\) −0.0819035 1.06366i −0.00414734 0.0538604i
\(391\) −18.3364 + 31.9388i −0.927312 + 1.61521i
\(392\) 6.92115i 0.349571i
\(393\) −0.195181 0.0891361i −0.00984557 0.00449632i
\(394\) −6.30991 1.85276i −0.317889 0.0933405i
\(395\) −7.67624 7.59301i −0.386233 0.382046i
\(396\) −12.5117 + 8.04079i −0.628737 + 0.404065i
\(397\) 3.78090 + 3.27617i 0.189758 + 0.164426i 0.744559 0.667557i \(-0.232660\pi\)
−0.554801 + 0.831983i \(0.687205\pi\)
\(398\) 8.82895 + 1.26941i 0.442555 + 0.0636298i
\(399\) 0.143677 0.0421874i 0.00719286 0.00211201i
\(400\) 4.57053 + 2.02738i 0.228527 + 0.101369i
\(401\) 0.918153 + 6.38589i 0.0458504 + 0.318896i 0.999820 + 0.0189919i \(0.00604568\pi\)
−0.953969 + 0.299904i \(0.903045\pi\)
\(402\) 1.06050 0.484315i 0.0528930 0.0241554i
\(403\) 11.2928 5.15726i 0.562536 0.256901i
\(404\) 0.273925 + 1.90519i 0.0136283 + 0.0947868i
\(405\) −17.4268 9.39280i −0.865943 0.466732i
\(406\) −0.631734 + 0.185494i −0.0313525 + 0.00920591i
\(407\) 41.6145 + 5.98327i 2.06276 + 0.296580i
\(408\) 0.741260 + 0.642306i 0.0366978 + 0.0317989i
\(409\) −10.3948 + 6.68035i −0.513991 + 0.330322i −0.771791 0.635876i \(-0.780639\pi\)
0.257800 + 0.966198i \(0.417003\pi\)
\(410\) −2.52568 + 2.55336i −0.124734 + 0.126101i
\(411\) −0.0991778 0.0291212i −0.00489208 0.00143644i
\(412\) −13.7653 6.28640i −0.678167 0.309709i
\(413\) 2.88217i 0.141822i
\(414\) 10.3320 9.89969i 0.507792 0.486543i
\(415\) −2.17090 28.1928i −0.106565 1.38393i
\(416\) −1.55169 + 3.39773i −0.0760780 + 0.166588i
\(417\) −0.539267 + 1.83657i −0.0264080 + 0.0899374i
\(418\) 15.7285 13.6288i 0.769307 0.666609i
\(419\) −14.1760 + 9.11038i −0.692544 + 0.445071i −0.838989 0.544148i \(-0.816853\pi\)
0.146445 + 0.989219i \(0.453217\pi\)
\(420\) 0.0477096 0.0644619i 0.00232799 0.00314542i
\(421\) −2.79809 + 19.4611i −0.136371 + 0.948478i 0.800632 + 0.599156i \(0.204497\pi\)
−0.937003 + 0.349322i \(0.886412\pi\)
\(422\) −3.88142 13.2189i −0.188945 0.643486i
\(423\) −9.65654 + 15.0259i −0.469517 + 0.730583i
\(424\) 1.51760 + 10.5552i 0.0737012 + 0.512603i
\(425\) −32.0726 + 21.1093i −1.55575 + 1.02395i
\(426\) −0.200768 0.439621i −0.00972726 0.0212997i
\(427\) 3.01521 0.433522i 0.145916 0.0209796i
\(428\) 3.84451 5.98218i 0.185832 0.289160i
\(429\) −2.28181 + 0.669999i −0.110167 + 0.0323478i
\(430\) 1.19585 18.1065i 0.0576691 0.873174i
\(431\) 16.5280 19.0744i 0.796127 0.918780i −0.202035 0.979378i \(-0.564756\pi\)
0.998162 + 0.0605987i \(0.0193010\pi\)
\(432\) −0.413195 0.642943i −0.0198798 0.0309336i
\(433\) −15.8328 + 13.7192i −0.760877 + 0.659304i −0.946276 0.323360i \(-0.895188\pi\)
0.185399 + 0.982663i \(0.440642\pi\)
\(434\) 0.895469 + 0.262933i 0.0429839 + 0.0126212i
\(435\) 0.628711 + 0.230602i 0.0301444 + 0.0110565i
\(436\) 10.6365 0.509396
\(437\) −12.3393 + 15.7695i −0.590269 + 0.754358i
\(438\) 1.30151i 0.0621888i
\(439\) 2.96603 6.49469i 0.141561 0.309975i −0.825551 0.564328i \(-0.809135\pi\)
0.967111 + 0.254353i \(0.0818626\pi\)
\(440\) 2.30987 10.9041i 0.110119 0.519832i
\(441\) −13.5232 15.6066i −0.643963 0.743173i
\(442\) −15.5077 24.1305i −0.737627 1.14777i
\(443\) −26.6438 23.0870i −1.26588 1.09689i −0.990780 0.135479i \(-0.956743\pi\)
−0.275103 0.961415i \(-0.588712\pi\)
\(444\) −0.153313 + 1.06632i −0.00727591 + 0.0506051i
\(445\) 11.6929 4.43395i 0.554295 0.210190i
\(446\) −0.290576 0.186742i −0.0137591 0.00884247i
\(447\) −1.37918 + 0.198296i −0.0652329 + 0.00937907i
\(448\) −0.255424 + 0.116648i −0.0120676 + 0.00551110i
\(449\) −14.0161 30.6909i −0.661460 1.44839i −0.881156 0.472826i \(-0.843234\pi\)
0.219696 0.975568i \(-0.429493\pi\)
\(450\) 14.2675 4.35879i 0.672575 0.205475i
\(451\) 6.73521 + 4.32846i 0.317149 + 0.203819i
\(452\) −3.50274 11.9292i −0.164755 0.561105i
\(453\) 1.77251 + 0.254848i 0.0832796 + 0.0119738i
\(454\) −5.08816 + 5.87205i −0.238799 + 0.275589i
\(455\) −1.86985 + 1.41572i −0.0876597 + 0.0663698i
\(456\) 0.349220 + 0.403022i 0.0163537 + 0.0188732i
\(457\) −1.02884 + 3.50389i −0.0481269 + 0.163905i −0.980050 0.198750i \(-0.936312\pi\)
0.931923 + 0.362656i \(0.118130\pi\)
\(458\) −6.49499 2.96616i −0.303491 0.138600i
\(459\) 5.86897 0.273940
\(460\) −0.170680 + 10.7224i −0.00795798 + 0.499937i
\(461\) 28.5065 1.32768 0.663839 0.747875i \(-0.268926\pi\)
0.663839 + 0.747875i \(0.268926\pi\)
\(462\) −0.162620 0.0742662i −0.00756578 0.00345518i
\(463\) −8.58203 + 29.2277i −0.398841 + 1.35833i 0.478344 + 0.878173i \(0.341237\pi\)
−0.877184 + 0.480154i \(0.840581\pi\)
\(464\) −1.53549 1.77205i −0.0712832 0.0822652i
\(465\) −0.572991 0.756793i −0.0265718 0.0350954i
\(466\) 5.86089 6.76383i 0.271501 0.313328i
\(467\) 35.9205 + 5.16459i 1.66220 + 0.238989i 0.908397 0.418109i \(-0.137307\pi\)
0.753805 + 0.657098i \(0.228216\pi\)
\(468\) 3.13988 + 10.6935i 0.145141 + 0.494306i
\(469\) −2.15621 1.38571i −0.0995645 0.0639862i
\(470\) −2.91660 13.0642i −0.134533 0.602607i
\(471\) −0.167201 0.366120i −0.00770422 0.0168699i
\(472\) 9.33662 4.26389i 0.429753 0.196262i
\(473\) −40.0395 + 5.75681i −1.84102 + 0.264698i
\(474\) −0.518834 0.333434i −0.0238308 0.0153151i
\(475\) −18.8937 + 8.87861i −0.866901 + 0.407378i
\(476\) 0.306875 2.13436i 0.0140656 0.0978283i
\(477\) 24.0458 + 20.8358i 1.10098 + 0.954005i
\(478\) −10.3596 16.1199i −0.473837 0.737305i
\(479\) −16.1276 18.6122i −0.736889 0.850415i 0.256340 0.966587i \(-0.417483\pi\)
−0.993229 + 0.116172i \(0.962938\pi\)
\(480\) 0.279402 + 0.0591873i 0.0127529 + 0.00270152i
\(481\) 13.0875 28.6577i 0.596740 1.30668i
\(482\) 15.5574i 0.708618i
\(483\) 0.167253 + 0.0401445i 0.00761027 + 0.00182664i
\(484\) −13.8469 −0.629406
\(485\) 9.57603 + 3.51234i 0.434825 + 0.159487i
\(486\) −3.28493 0.964543i −0.149008 0.0437526i
\(487\) 23.0853 20.0035i 1.04610 0.906447i 0.0503631 0.998731i \(-0.483962\pi\)
0.995733 + 0.0922838i \(0.0294167\pi\)
\(488\) 5.86508 + 9.12624i 0.265500 + 0.413126i
\(489\) −0.960754 + 1.10877i −0.0434468 + 0.0501403i
\(490\) 15.4425 + 1.01991i 0.697622 + 0.0460747i
\(491\) −1.21049 + 0.355433i −0.0546289 + 0.0160405i −0.308933 0.951084i \(-0.599972\pi\)
0.254304 + 0.967124i \(0.418154\pi\)
\(492\) −0.110911 + 0.172581i −0.00500024 + 0.00778053i
\(493\) 17.8226 2.56250i 0.802687 0.115409i
\(494\) −6.47857 14.1861i −0.291485 0.638263i
\(495\) −16.0969 29.1011i −0.723503 1.30800i
\(496\) 0.473003 + 3.28980i 0.0212384 + 0.147717i
\(497\) −0.574434 + 0.893837i −0.0257669 + 0.0400941i
\(498\) −0.455042 1.54973i −0.0203909 0.0694451i
\(499\) 0.500048 3.47791i 0.0223852 0.155693i −0.975563 0.219720i \(-0.929486\pi\)
0.997948 + 0.0640277i \(0.0203946\pi\)
\(500\) −5.19701 + 9.89904i −0.232417 + 0.442699i
\(501\) −1.48010 + 0.951201i −0.0661259 + 0.0424965i
\(502\) −15.3606 + 13.3100i −0.685577 + 0.594056i
\(503\) 2.11631 7.20748i 0.0943615 0.321366i −0.898762 0.438437i \(-0.855532\pi\)
0.993124 + 0.117071i \(0.0373505\pi\)
\(504\) −0.348041 + 0.762104i −0.0155030 + 0.0339468i
\(505\) −4.29124 + 0.330433i −0.190958 + 0.0147041i
\(506\) 23.4626 4.58127i 1.04304 0.203662i
\(507\) 0.121638i 0.00540214i
\(508\) −16.4027 7.49084i −0.727750 0.332352i
\(509\) −32.3869 9.50966i −1.43552 0.421508i −0.530797 0.847499i \(-0.678107\pi\)
−0.904727 + 0.425991i \(0.859926\pi\)
\(510\) −1.54235 + 1.55925i −0.0682964 + 0.0690449i
\(511\) 2.40710 1.54695i 0.106484 0.0684330i
\(512\) −0.755750 0.654861i −0.0333997 0.0289410i
\(513\) 3.15847 + 0.454119i 0.139450 + 0.0200498i
\(514\) −14.7235 + 4.32322i −0.649427 + 0.190689i
\(515\) 16.0547 29.7868i 0.707456 1.31257i
\(516\) −0.147510 1.02596i −0.00649378 0.0451652i
\(517\) −27.1432 + 12.3959i −1.19376 + 0.545171i
\(518\) 2.15433 0.983851i 0.0946560 0.0432279i
\(519\) −0.104900 0.729593i −0.00460458 0.0320256i
\(520\) −7.35239 3.96284i −0.322424 0.173782i
\(521\) −35.8966 + 10.5402i −1.57266 + 0.461774i −0.947774 0.318944i \(-0.896672\pi\)
−0.624884 + 0.780718i \(0.714854\pi\)
\(522\) −6.92480 0.995636i −0.303090 0.0435778i
\(523\) −16.7895 14.5482i −0.734156 0.636150i 0.205348 0.978689i \(-0.434167\pi\)
−0.939503 + 0.342540i \(0.888713\pi\)
\(524\) −1.41326 + 0.908245i −0.0617384 + 0.0396769i
\(525\) 0.136797 + 0.115949i 0.00597032 + 0.00506043i
\(526\) 14.3059 + 4.20059i 0.623767 + 0.183155i
\(527\) −23.2164 10.6026i −1.01132 0.461855i
\(528\) 0.636669i 0.0277074i
\(529\) −21.3106 + 8.65204i −0.926548 + 0.376176i
\(530\) −23.7744 + 1.83067i −1.03269 + 0.0795191i
\(531\) 12.7221 27.8575i 0.552093 1.20891i
\(532\) 0.330298 1.12489i 0.0143202 0.0487703i
\(533\) 4.53408 3.92881i 0.196393 0.170175i
\(534\) 0.600916 0.386185i 0.0260042 0.0167119i
\(535\) 12.7810 + 9.45945i 0.552569 + 0.408968i
\(536\) 1.29903 9.03495i 0.0561095 0.390250i
\(537\) −0.262324 0.893392i −0.0113201 0.0385527i
\(538\) −4.51751 + 7.02938i −0.194763 + 0.303058i
\(539\) −4.90981 34.1485i −0.211481 1.47088i
\(540\) 1.49543 0.827178i 0.0643530 0.0355961i
\(541\) 7.77132 + 17.0168i 0.334115 + 0.731610i 0.999894 0.0145386i \(-0.00462794\pi\)
−0.665779 + 0.746149i \(0.731901\pi\)
\(542\) 2.35091 0.338010i 0.100980 0.0145188i
\(543\) 0.465711 0.724661i 0.0199856 0.0310982i
\(544\) 7.36814 2.16348i 0.315906 0.0927584i
\(545\) −1.56740 + 23.7322i −0.0671403 + 1.01658i
\(546\) −0.0877294 + 0.101245i −0.00375447 + 0.00433289i
\(547\) 10.4448 + 16.2524i 0.446587 + 0.694903i 0.989443 0.144923i \(-0.0462935\pi\)
−0.542856 + 0.839826i \(0.682657\pi\)
\(548\) −0.611609 + 0.529962i −0.0261266 + 0.0226389i
\(549\) 31.0570 + 9.11917i 1.32548 + 0.389197i
\(550\) 23.9889 + 6.76064i 1.02289 + 0.288274i
\(551\) 9.78974 0.417057
\(552\) 0.117389 + 0.601196i 0.00499640 + 0.0255886i
\(553\) 1.35587i 0.0576577i
\(554\) −4.08334 + 8.94126i −0.173484 + 0.379878i
\(555\) −2.35658 0.499206i −0.100031 0.0211901i
\(556\) 9.81383 + 11.3258i 0.416199 + 0.480319i
\(557\) −0.377707 0.587724i −0.0160040 0.0249027i 0.833159 0.553033i \(-0.186530\pi\)
−0.849163 + 0.528130i \(0.822893\pi\)
\(558\) 7.49453 + 6.49405i 0.317269 + 0.274915i
\(559\) −4.31389 + 30.0038i −0.182458 + 1.26902i
\(560\) −0.222627 0.587093i −0.00940769 0.0248092i
\(561\) 4.11298 + 2.64325i 0.173650 + 0.111598i
\(562\) 16.6927 2.40004i 0.704138 0.101240i
\(563\) 42.9535 19.6162i 1.81027 0.826724i 0.863886 0.503687i \(-0.168023\pi\)
0.946386 0.323037i \(-0.104704\pi\)
\(564\) −0.317628 0.695508i −0.0133746 0.0292862i
\(565\) 27.1328 6.05744i 1.14149 0.254838i
\(566\) 3.08684 + 1.98379i 0.129750 + 0.0833850i
\(567\) 0.700398 + 2.38534i 0.0294139 + 0.100175i
\(568\) −3.74536 0.538501i −0.157152 0.0225950i
\(569\) 9.95551 11.4893i 0.417357 0.481655i −0.507673 0.861550i \(-0.669494\pi\)
0.925030 + 0.379894i \(0.124040\pi\)
\(570\) −0.950687 + 0.719793i −0.0398199 + 0.0301488i
\(571\) 24.3482 + 28.0993i 1.01894 + 1.17592i 0.984297 + 0.176518i \(0.0564833\pi\)
0.0346409 + 0.999400i \(0.488971\pi\)
\(572\) −5.24562 + 17.8650i −0.219331 + 0.746971i
\(573\) −1.04054 0.475200i −0.0434693 0.0198517i
\(574\) 0.451007 0.0188247
\(575\) −23.8988 1.96089i −0.996651 0.0817748i
\(576\) −2.98369 −0.124320
\(577\) −2.45018 1.11896i −0.102002 0.0465829i 0.363760 0.931493i \(-0.381493\pi\)
−0.465763 + 0.884910i \(0.654220\pi\)
\(578\) −11.8243 + 40.2700i −0.491827 + 1.67501i
\(579\) −0.213756 0.246687i −0.00888339 0.0102520i
\(580\) 4.18007 3.16486i 0.173568 0.131414i
\(581\) −2.32531 + 2.68356i −0.0964703 + 0.111333i
\(582\) 0.576690 + 0.0829155i 0.0239046 + 0.00343696i
\(583\) 14.9755 + 51.0018i 0.620221 + 2.11228i
\(584\) 8.57233 + 5.50910i 0.354726 + 0.227968i
\(585\) −24.3220 + 5.42993i −1.00559 + 0.224500i
\(586\) −7.07824 15.4992i −0.292399 0.640265i
\(587\) −2.43392 + 1.11153i −0.100458 + 0.0458778i −0.465010 0.885305i \(-0.653949\pi\)
0.364552 + 0.931183i \(0.381222\pi\)
\(588\) 0.875008 0.125807i 0.0360847 0.00518820i
\(589\) −11.6738 7.50232i −0.481012 0.309128i
\(590\) 8.13777 + 21.4603i 0.335027 + 0.883505i
\(591\) 0.119539 0.831410i 0.00491716 0.0341996i
\(592\) 6.37426 + 5.52333i 0.261980 + 0.227007i
\(593\) −6.82295 10.6167i −0.280185 0.435976i 0.672428 0.740163i \(-0.265252\pi\)
−0.952612 + 0.304187i \(0.901615\pi\)
\(594\) −2.49477 2.87912i −0.102362 0.118132i
\(595\) 4.71698 + 0.999223i 0.193377 + 0.0409641i
\(596\) −4.53178 + 9.92321i −0.185629 + 0.406470i
\(597\) 1.13928i 0.0466275i
\(598\) 1.65942 17.8368i 0.0678588 0.729400i
\(599\) 16.1949 0.661704 0.330852 0.943683i \(-0.392664\pi\)
0.330852 + 0.943683i \(0.392664\pi\)
\(600\) −0.173232 + 0.614683i −0.00707217 + 0.0250943i
\(601\) 40.2708 + 11.8246i 1.64268 + 0.482334i 0.966982 0.254845i \(-0.0820243\pi\)
0.675698 + 0.737179i \(0.263843\pi\)
\(602\) −1.72214 + 1.49224i −0.0701892 + 0.0608193i
\(603\) −14.7242 22.9112i −0.599614 0.933018i
\(604\) 9.18127 10.5957i 0.373580 0.431135i
\(605\) 2.04050 30.8954i 0.0829580 1.25608i
\(606\) −0.235885 + 0.0692621i −0.00958218 + 0.00281358i
\(607\) −0.896532 + 1.39503i −0.0363891 + 0.0566225i −0.858972 0.512023i \(-0.828896\pi\)
0.822582 + 0.568646i \(0.192533\pi\)
\(608\) 4.13267 0.594188i 0.167602 0.0240975i
\(609\) −0.0349343 0.0764954i −0.00141561 0.00309975i
\(610\) −21.2268 + 11.7414i −0.859449 + 0.475394i
\(611\) 3.18224 + 22.1330i 0.128740 + 0.895405i
\(612\) 12.3873 19.2751i 0.500728 0.779148i
\(613\) −7.58275 25.8245i −0.306264 1.04304i −0.958516 0.285039i \(-0.907994\pi\)
0.652252 0.758003i \(-0.273825\pi\)
\(614\) −0.297219 + 2.06721i −0.0119948 + 0.0834257i
\(615\) −0.368719 0.272897i −0.0148682 0.0110043i
\(616\) −1.17749 + 0.756730i −0.0474426 + 0.0304895i
\(617\) 26.1497 22.6589i 1.05275 0.912211i 0.0564697 0.998404i \(-0.482016\pi\)
0.996278 + 0.0861928i \(0.0274701\pi\)
\(618\) 0.544545 1.85455i 0.0219048 0.0746009i
\(619\) −12.1489 + 26.6024i −0.488305 + 1.06924i 0.491791 + 0.870713i \(0.336343\pi\)
−0.980096 + 0.198525i \(0.936385\pi\)
\(620\) −7.40994 + 0.570578i −0.297590 + 0.0229150i
\(621\) 2.88663 + 2.25872i 0.115836 + 0.0906394i
\(622\) 13.9007i 0.557367i
\(623\) −1.42847 0.652360i −0.0572304 0.0261362i
\(624\) −0.457765 0.134412i −0.0183253 0.00538078i
\(625\) −21.3210 13.0543i −0.852839 0.522174i
\(626\) −8.70847 + 5.59660i −0.348061 + 0.223685i
\(627\) 2.00893 + 1.74075i 0.0802290 + 0.0695188i
\(628\) −3.11916 0.448467i −0.124468 0.0178958i
\(629\) −62.1455 + 18.2476i −2.47790 + 0.727578i
\(630\) −1.64912 0.888857i −0.0657027 0.0354129i
\(631\) −2.97986 20.7254i −0.118626 0.825063i −0.959071 0.283166i \(-0.908615\pi\)
0.840445 0.541897i \(-0.182294\pi\)
\(632\) −4.39228 + 2.00589i −0.174715 + 0.0797899i
\(633\) 1.60065 0.730993i 0.0636202 0.0290544i
\(634\) 0.241988 + 1.68306i 0.00961057 + 0.0668430i
\(635\) 19.1307 35.4939i 0.759180 1.40853i
\(636\) −1.30685 + 0.383726i −0.0518200 + 0.0152157i
\(637\) −25.5893 3.67919i −1.01389 0.145775i
\(638\) −8.83307 7.65390i −0.349705 0.303021i
\(639\) −9.49765 + 6.10377i −0.375721 + 0.241461i
\(640\) 1.57250 1.58973i 0.0621584 0.0628397i
\(641\) 7.35104 + 2.15846i 0.290349 + 0.0852540i 0.423663 0.905820i \(-0.360744\pi\)
−0.133315 + 0.991074i \(0.542562\pi\)
\(642\) 0.826181 + 0.377304i 0.0326068 + 0.0148910i
\(643\) 39.1290i 1.54310i 0.636170 + 0.771549i \(0.280518\pi\)
−0.636170 + 0.771549i \(0.719482\pi\)
\(644\) 0.972363 0.931673i 0.0383165 0.0367131i
\(645\) 2.31086 0.177940i 0.0909900 0.00700639i
\(646\) −13.3190 + 29.1645i −0.524029 + 1.14746i
\(647\) −6.68277 + 22.7594i −0.262727 + 0.894766i 0.717445 + 0.696616i \(0.245312\pi\)
−0.980172 + 0.198150i \(0.936507\pi\)
\(648\) −6.69099 + 5.79777i −0.262847 + 0.227758i
\(649\) 43.0415 27.6611i 1.68953 1.08579i
\(650\) 9.92537 15.8207i 0.389305 0.620540i
\(651\) −0.0169643 + 0.117989i −0.000664883 + 0.00462436i
\(652\) 3.23611 + 11.0212i 0.126736 + 0.431622i
\(653\) 12.9480 20.1475i 0.506695 0.788433i −0.489822 0.871823i \(-0.662938\pi\)
0.996517 + 0.0833895i \(0.0265746\pi\)
\(654\) 0.193342 + 1.34472i 0.00756027 + 0.0525828i
\(655\) −1.81822 3.28711i −0.0710439 0.128438i
\(656\) 0.667222 + 1.46101i 0.0260506 + 0.0570429i
\(657\) 30.0941 4.32688i 1.17408 0.168808i
\(658\) −0.908791 + 1.41411i −0.0354284 + 0.0551276i
\(659\) 25.4360 7.46869i 0.990847 0.290939i 0.254152 0.967164i \(-0.418204\pi\)
0.736695 + 0.676225i \(0.236385\pi\)
\(660\) 1.42054 + 0.0938200i 0.0552944 + 0.00365194i
\(661\) −1.73503 + 2.00233i −0.0674849 + 0.0778817i −0.788488 0.615050i \(-0.789136\pi\)
0.721003 + 0.692932i \(0.243681\pi\)
\(662\) −1.17300 1.82523i −0.0455901 0.0709395i
\(663\) 2.76882 2.39919i 0.107532 0.0931770i
\(664\) −12.1333 3.56266i −0.470863 0.138258i
\(665\) 2.46119 + 0.902729i 0.0954410 + 0.0350063i
\(666\) 25.1655 0.975142
\(667\) 9.75215 + 5.59881i 0.377605 + 0.216787i
\(668\) 13.7748i 0.532965i
\(669\) 0.0183270 0.0401305i 0.000708563 0.00155154i
\(670\) 19.9674 + 4.22980i 0.771408 + 0.163411i
\(671\) 35.4120 + 40.8676i 1.36707 + 1.57768i
\(672\) −0.0193902 0.0301717i −0.000747991 0.00116390i
\(673\) −18.7465 16.2439i −0.722623 0.626156i 0.213862 0.976864i \(-0.431396\pi\)
−0.936485 + 0.350708i \(0.885941\pi\)
\(674\) −2.24127 + 15.5884i −0.0863305 + 0.600442i
\(675\) 1.62524 + 3.45850i 0.0625554 + 0.133118i
\(676\) 0.801161 + 0.514875i 0.0308139 + 0.0198029i
\(677\) −14.8204 + 2.13086i −0.569595 + 0.0818954i −0.421094 0.907017i \(-0.638354\pi\)
−0.148501 + 0.988912i \(0.547445\pi\)
\(678\) 1.44449 0.659676i 0.0554752 0.0253347i
\(679\) −0.532092 1.16512i −0.0204198 0.0447131i
\(680\) 3.74140 + 16.7586i 0.143476 + 0.642665i
\(681\) −0.834864 0.536534i −0.0319920 0.0205600i
\(682\) 4.66753 + 15.8961i 0.178729 + 0.608694i
\(683\) −21.5081 3.09240i −0.822986 0.118327i −0.282059 0.959397i \(-0.591017\pi\)
−0.540927 + 0.841070i \(0.681926\pi\)
\(684\) 8.15785 9.41466i 0.311923 0.359979i
\(685\) −1.09233 1.44272i −0.0417357 0.0551236i
\(686\) −2.55988 2.95426i −0.0977367 0.112794i
\(687\) 0.256937 0.875048i 0.00980277 0.0333852i
\(688\) −7.38178 3.37114i −0.281428 0.128524i
\(689\) 39.8319 1.51747
\(690\) −1.35869 + 0.173326i −0.0517245 + 0.00659840i
\(691\) −44.9009 −1.70811 −0.854056 0.520181i \(-0.825865\pi\)
−0.854056 + 0.520181i \(0.825865\pi\)
\(692\) −5.24943 2.39734i −0.199553 0.0911330i
\(693\) −1.17658 + 4.00707i −0.0446946 + 0.152216i
\(694\) 5.20623 + 6.00831i 0.197626 + 0.228072i
\(695\) −26.7163 + 20.2277i −1.01341 + 0.767281i
\(696\) 0.196121 0.226335i 0.00743393 0.00857922i
\(697\) −12.2085 1.75531i −0.462428 0.0664871i
\(698\) 3.61369 + 12.3071i 0.136780 + 0.465831i
\(699\) 0.961654 + 0.618017i 0.0363731 + 0.0233756i
\(700\) 1.34273 0.410212i 0.0507505 0.0155045i
\(701\) 17.1355 + 37.5215i 0.647198 + 1.41717i 0.893985 + 0.448096i \(0.147898\pi\)
−0.246788 + 0.969070i \(0.579375\pi\)
\(702\) −2.59678 + 1.18591i −0.0980091 + 0.0447593i
\(703\) −34.8564 + 5.01159i −1.31463 + 0.189016i
\(704\) −4.19337 2.69492i −0.158044 0.101568i
\(705\) 1.59863 0.606203i 0.0602079 0.0228309i
\(706\) 1.22112 8.49310i 0.0459576 0.319642i
\(707\) 0.408465 + 0.353937i 0.0153619 + 0.0133112i
\(708\) 0.708777 + 1.10288i 0.0266375 + 0.0414487i
\(709\) 15.1105 + 17.4385i 0.567488 + 0.654916i 0.964867 0.262738i \(-0.0846256\pi\)
−0.397379 + 0.917655i \(0.630080\pi\)
\(710\) 1.75343 8.27731i 0.0658049 0.310642i
\(711\) −5.98494 + 13.1052i −0.224453 + 0.491483i
\(712\) 5.59255i 0.209590i
\(713\) −7.33839 14.1499i −0.274825 0.529916i
\(714\) 0.275415 0.0103072
\(715\) −39.0874 14.3367i −1.46179 0.536161i
\(716\) −6.99464 2.05381i −0.261402 0.0767545i
\(717\) 1.84965 1.60273i 0.0690764 0.0598550i
\(718\) 15.2289 + 23.6966i 0.568336 + 0.884349i
\(719\) −20.6369 + 23.8163i −0.769628 + 0.888198i −0.996315 0.0857693i \(-0.972665\pi\)
0.226687 + 0.973968i \(0.427211\pi\)
\(720\) 0.439679 6.65722i 0.0163859 0.248100i
\(721\) −4.07715 + 1.19716i −0.151841 + 0.0445846i
\(722\) 0.847720 1.31908i 0.0315489 0.0490910i
\(723\) 1.96684 0.282789i 0.0731477 0.0105170i
\(724\) −2.80165 6.13475i −0.104122 0.227996i
\(725\) 6.44548 + 9.79299i 0.239379 + 0.363702i
\(726\) −0.251699 1.75060i −0.00934142 0.0649710i
\(727\) 5.62176 8.74764i 0.208500 0.324432i −0.721216 0.692710i \(-0.756416\pi\)
0.929715 + 0.368279i \(0.120053\pi\)
\(728\) 0.295499 + 1.00638i 0.0109519 + 0.0372988i
\(729\) −3.71770 + 25.8571i −0.137692 + 0.957672i
\(730\) −13.5552 + 18.3148i −0.501700 + 0.677862i
\(731\) 52.4249 33.6915i 1.93901 1.24612i
\(732\) −1.04718 + 0.907384i −0.0387048 + 0.0335379i
\(733\) 10.6777 36.3650i 0.394391 1.34317i −0.488077 0.872801i \(-0.662301\pi\)
0.882468 0.470373i \(-0.155880\pi\)
\(734\) 3.21043 7.02986i 0.118499 0.259477i
\(735\) 0.151760 + 1.97086i 0.00559775 + 0.0726964i
\(736\) 4.45662 + 1.77159i 0.164273 + 0.0653018i
\(737\) 45.4993i 1.67599i
\(738\) 4.35920 + 1.99078i 0.160464 + 0.0732816i
\(739\) −46.3361 13.6055i −1.70450 0.500487i −0.722824 0.691032i \(-0.757156\pi\)
−0.981678 + 0.190545i \(0.938974\pi\)
\(740\) −13.2630 + 13.4084i −0.487558 + 0.492901i
\(741\) 1.67572 1.07692i 0.0615591 0.0395616i
\(742\) 2.26298 + 1.96088i 0.0830767 + 0.0719863i
\(743\) −14.8177 2.13047i −0.543609 0.0781592i −0.134961 0.990851i \(-0.543091\pi\)
−0.408649 + 0.912692i \(0.634000\pi\)
\(744\) −0.407317 + 0.119599i −0.0149329 + 0.00438471i
\(745\) −21.4729 11.5736i −0.786707 0.424025i
\(746\) 2.77552 + 19.3041i 0.101619 + 0.706775i
\(747\) −34.3207 + 15.6737i −1.25573 + 0.573472i
\(748\) 34.8191 15.9014i 1.27311 0.581412i
\(749\) −0.284170 1.97645i −0.0103833 0.0722178i
\(750\) −1.34596 0.477097i −0.0491474 0.0174211i
\(751\) 19.9134 5.84711i 0.726651 0.213364i 0.102573 0.994726i \(-0.467293\pi\)
0.624079 + 0.781361i \(0.285474\pi\)
\(752\) −5.92538 0.851942i −0.216077 0.0310671i
\(753\) −1.96194 1.70003i −0.0714970 0.0619525i
\(754\) −7.36797 + 4.73511i −0.268326 + 0.172442i
\(755\) 22.2883 + 22.0467i 0.811156 + 0.802362i
\(756\) −0.205913 0.0604614i −0.00748897 0.00219896i
\(757\) 20.9559 + 9.57022i 0.761654 + 0.347836i 0.758083 0.652158i \(-0.226136\pi\)
0.00357061 + 0.999994i \(0.498863\pi\)
\(758\) 25.7946i 0.936904i
\(759\) 1.00567 + 2.88299i 0.0365036 + 0.104646i
\(760\) 0.716763 + 9.30840i 0.0259997 + 0.337651i
\(761\) −1.72489 + 3.77698i −0.0625271 + 0.136915i −0.938316 0.345779i \(-0.887615\pi\)
0.875789 + 0.482695i \(0.160342\pi\)
\(762\) 0.648877 2.20987i 0.0235063 0.0800552i
\(763\) 2.25721 1.95589i 0.0817166 0.0708078i
\(764\) −7.53432 + 4.84201i −0.272582 + 0.175178i
\(765\) 41.1813 + 30.4791i 1.48891 + 1.10197i
\(766\) 3.52465 24.5145i 0.127351 0.885745i
\(767\) −10.8015 36.7866i −0.390020 1.32829i
\(768\) 0.0690535 0.107449i 0.00249175 0.00387725i
\(769\) 1.75312 + 12.1932i 0.0632190 + 0.439698i 0.996707 + 0.0810887i \(0.0258397\pi\)
−0.933488 + 0.358609i \(0.883251\pi\)
\(770\) −1.51490 2.73875i −0.0545934 0.0986976i
\(771\) −0.814197 1.78284i −0.0293226 0.0642075i
\(772\)