Properties

Label 690.2.w.b.7.2
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.2
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.b.493.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-1.89440 - 1.18796i) q^{5} +(0.142315 - 0.989821i) q^{6} +(0.244741 - 0.448210i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-1.89440 - 1.18796i) q^{5} +(0.142315 - 0.989821i) q^{6} +(0.244741 - 0.448210i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(1.97432 + 1.04979i) q^{10} +(-1.95533 + 1.69430i) q^{11} +(-0.0713392 + 0.997452i) q^{12} +(3.92447 - 2.14292i) q^{13} +(-0.212143 + 0.464528i) q^{14} +(1.56350 - 1.59859i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-0.573049 - 0.765504i) q^{17} +(0.936950 + 0.349464i) q^{18} +(0.787868 + 5.47974i) q^{19} +(-2.04418 - 0.906269i) q^{20} +(0.385944 + 0.334422i) q^{21} +(1.82947 - 1.82947i) q^{22} +(-0.985708 + 4.69344i) q^{23} -1.00000i q^{24} +(2.17749 + 4.50095i) q^{25} +(-3.76159 + 2.41743i) q^{26} +(0.599278 - 0.800541i) q^{27} +(0.178463 - 0.478478i) q^{28} +(9.80565 + 1.40984i) q^{29} +(-1.44547 + 1.70605i) q^{30} +(-1.87207 - 1.20311i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(-1.23994 - 2.27079i) q^{33} +(0.626199 + 0.722672i) q^{34} +(-0.996094 + 0.558345i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(0.327944 + 0.879252i) q^{37} +(-1.17678 - 5.40957i) q^{38} +(1.25974 + 4.29029i) q^{39} +(2.10363 + 0.758130i) q^{40} +(3.97618 + 8.70662i) q^{41} +(-0.408818 - 0.306037i) q^{42} +(-0.920644 - 0.200274i) q^{43} +(-1.69430 + 1.95533i) q^{44} +(1.22971 + 1.86757i) q^{45} +(0.648370 - 4.75180i) q^{46} +(-5.32050 - 5.32050i) q^{47} +(0.0713392 + 0.997452i) q^{48} +(3.64349 + 5.66938i) q^{49} +(-2.49304 - 4.33414i) q^{50} +(0.869820 - 0.397233i) q^{51} +(3.57955 - 2.67962i) q^{52} +(-2.72917 - 1.49024i) q^{53} +(-0.540641 + 0.841254i) q^{54} +(5.71693 - 0.886826i) q^{55} +(-0.143874 + 0.489991i) q^{56} +(-5.52198 - 0.394940i) q^{57} +(-9.88124 - 0.706721i) q^{58} +(-3.62935 + 12.3604i) q^{59} +(1.32008 - 1.80482i) q^{60} +(-2.08617 + 3.24614i) q^{61} +(1.95313 + 1.06649i) q^{62} +(-0.408818 + 0.306037i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-9.98021 - 0.602571i) q^{65} +(1.39878 + 2.17655i) q^{66} +(0.439415 + 6.14383i) q^{67} +(-0.676159 - 0.676159i) q^{68} +(-4.37665 - 1.96084i) q^{69} +(0.953724 - 0.627983i) q^{70} +(-5.17574 + 5.97313i) q^{71} +(0.977147 + 0.212565i) q^{72} +(2.38663 + 1.78661i) q^{73} +(-0.389834 - 0.853616i) q^{74} +(-4.86095 + 1.17098i) q^{75} +(1.55970 + 5.31184i) q^{76} +(0.280853 + 1.29106i) q^{77} +(-1.56260 - 4.18949i) q^{78} +(13.7008 + 4.02292i) q^{79} +(-2.15235 - 0.606127i) q^{80} +(0.654861 + 0.755750i) q^{81} +(-4.58717 - 8.40078i) q^{82} +(14.0560 - 5.24261i) q^{83} +(0.429608 + 0.276093i) q^{84} +(0.176194 + 2.13093i) q^{85} +(0.932586 + 0.134086i) q^{86} +(-3.46196 + 9.28188i) q^{87} +(1.55049 - 2.07121i) q^{88} +(1.23189 - 0.791689i) q^{89} +(-1.35981 - 1.77509i) q^{90} -2.28345i q^{91} +(-0.307729 + 4.78595i) q^{92} +(1.57355 - 1.57355i) q^{93} +(5.68650 + 4.92738i) q^{94} +(5.01719 - 11.3168i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-6.31543 - 2.35553i) q^{97} +(-4.03866 - 5.39502i) q^{98} +(2.48246 - 0.728917i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997452 + 0.0713392i −0.705305 + 0.0504444i
\(3\) −0.212565 + 0.977147i −0.122725 + 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −1.89440 1.18796i −0.847201 0.531273i
\(6\) 0.142315 0.989821i 0.0580998 0.404093i
\(7\) 0.244741 0.448210i 0.0925035 0.169407i −0.827330 0.561716i \(-0.810142\pi\)
0.919834 + 0.392308i \(0.128323\pi\)
\(8\) −0.977147 + 0.212565i −0.345474 + 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 1.97432 + 1.04979i 0.624335 + 0.331973i
\(11\) −1.95533 + 1.69430i −0.589553 + 0.510850i −0.897769 0.440466i \(-0.854813\pi\)
0.308217 + 0.951316i \(0.400268\pi\)
\(12\) −0.0713392 + 0.997452i −0.0205938 + 0.287940i
\(13\) 3.92447 2.14292i 1.08845 0.594339i 0.168234 0.985747i \(-0.446194\pi\)
0.920217 + 0.391408i \(0.128012\pi\)
\(14\) −0.212143 + 0.464528i −0.0566975 + 0.124150i
\(15\) 1.56350 1.59859i 0.403693 0.412753i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) −0.573049 0.765504i −0.138985 0.185662i 0.725648 0.688066i \(-0.241540\pi\)
−0.864633 + 0.502404i \(0.832449\pi\)
\(18\) 0.936950 + 0.349464i 0.220841 + 0.0823695i
\(19\) 0.787868 + 5.47974i 0.180749 + 1.25714i 0.854997 + 0.518633i \(0.173559\pi\)
−0.674248 + 0.738505i \(0.735532\pi\)
\(20\) −2.04418 0.906269i −0.457093 0.202648i
\(21\) 0.385944 + 0.334422i 0.0842198 + 0.0729769i
\(22\) 1.82947 1.82947i 0.390045 0.390045i
\(23\) −0.985708 + 4.69344i −0.205534 + 0.978650i
\(24\) 1.00000i 0.204124i
\(25\) 2.17749 + 4.50095i 0.435499 + 0.900189i
\(26\) −3.76159 + 2.41743i −0.737709 + 0.474097i
\(27\) 0.599278 0.800541i 0.115331 0.154064i
\(28\) 0.178463 0.478478i 0.0337264 0.0904239i
\(29\) 9.80565 + 1.40984i 1.82086 + 0.261801i 0.966276 0.257507i \(-0.0829011\pi\)
0.854587 + 0.519308i \(0.173810\pi\)
\(30\) −1.44547 + 1.70605i −0.263906 + 0.311481i
\(31\) −1.87207 1.20311i −0.336234 0.216084i 0.361618 0.932326i \(-0.382224\pi\)
−0.697852 + 0.716242i \(0.745861\pi\)
\(32\) −0.936950 + 0.349464i −0.165631 + 0.0617771i
\(33\) −1.23994 2.27079i −0.215847 0.395294i
\(34\) 0.626199 + 0.722672i 0.107392 + 0.123937i
\(35\) −0.996094 + 0.558345i −0.168371 + 0.0943776i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 0.327944 + 0.879252i 0.0539137 + 0.144548i 0.961115 0.276149i \(-0.0890583\pi\)
−0.907201 + 0.420697i \(0.861786\pi\)
\(38\) −1.17678 5.40957i −0.190899 0.877548i
\(39\) 1.25974 + 4.29029i 0.201720 + 0.686996i
\(40\) 2.10363 + 0.758130i 0.332612 + 0.119871i
\(41\) 3.97618 + 8.70662i 0.620975 + 1.35974i 0.914808 + 0.403888i \(0.132342\pi\)
−0.293834 + 0.955857i \(0.594931\pi\)
\(42\) −0.408818 0.306037i −0.0630819 0.0472225i
\(43\) −0.920644 0.200274i −0.140397 0.0305415i 0.141818 0.989893i \(-0.454705\pi\)
−0.282214 + 0.959351i \(0.591069\pi\)
\(44\) −1.69430 + 1.95533i −0.255425 + 0.294776i
\(45\) 1.22971 + 1.86757i 0.183314 + 0.278401i
\(46\) 0.648370 4.75180i 0.0955970 0.700615i
\(47\) −5.32050 5.32050i −0.776074 0.776074i 0.203086 0.979161i \(-0.434903\pi\)
−0.979161 + 0.203086i \(0.934903\pi\)
\(48\) 0.0713392 + 0.997452i 0.0102969 + 0.143970i
\(49\) 3.64349 + 5.66938i 0.520499 + 0.809912i
\(50\) −2.49304 4.33414i −0.352569 0.612940i
\(51\) 0.869820 0.397233i 0.121799 0.0556238i
\(52\) 3.57955 2.67962i 0.496394 0.371596i
\(53\) −2.72917 1.49024i −0.374881 0.204700i 0.280752 0.959780i \(-0.409416\pi\)
−0.655633 + 0.755080i \(0.727598\pi\)
\(54\) −0.540641 + 0.841254i −0.0735719 + 0.114480i
\(55\) 5.71693 0.886826i 0.770871 0.119580i
\(56\) −0.143874 + 0.489991i −0.0192260 + 0.0654777i
\(57\) −5.52198 0.394940i −0.731405 0.0523111i
\(58\) −9.88124 0.706721i −1.29747 0.0927970i
\(59\) −3.62935 + 12.3604i −0.472501 + 1.60919i 0.286486 + 0.958084i \(0.407513\pi\)
−0.758987 + 0.651106i \(0.774305\pi\)
\(60\) 1.32008 1.80482i 0.170422 0.233002i
\(61\) −2.08617 + 3.24614i −0.267106 + 0.415625i −0.948735 0.316073i \(-0.897636\pi\)
0.681629 + 0.731698i \(0.261272\pi\)
\(62\) 1.95313 + 1.06649i 0.248048 + 0.135444i
\(63\) −0.408818 + 0.306037i −0.0515062 + 0.0385570i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) −9.98021 0.602571i −1.23789 0.0747397i
\(66\) 1.39878 + 2.17655i 0.172178 + 0.267914i
\(67\) 0.439415 + 6.14383i 0.0536831 + 0.750588i 0.950998 + 0.309197i \(0.100060\pi\)
−0.897315 + 0.441391i \(0.854485\pi\)
\(68\) −0.676159 0.676159i −0.0819963 0.0819963i
\(69\) −4.37665 1.96084i −0.526887 0.236058i
\(70\) 0.953724 0.627983i 0.113992 0.0750583i
\(71\) −5.17574 + 5.97313i −0.614248 + 0.708880i −0.974604 0.223935i \(-0.928110\pi\)
0.360356 + 0.932815i \(0.382655\pi\)
\(72\) 0.977147 + 0.212565i 0.115158 + 0.0250511i
\(73\) 2.38663 + 1.78661i 0.279334 + 0.209107i 0.729754 0.683710i \(-0.239635\pi\)
−0.450420 + 0.892817i \(0.648726\pi\)
\(74\) −0.389834 0.853616i −0.0453172 0.0992309i
\(75\) −4.86095 + 1.17098i −0.561294 + 0.135214i
\(76\) 1.55970 + 5.31184i 0.178909 + 0.609310i
\(77\) 0.280853 + 1.29106i 0.0320062 + 0.147130i
\(78\) −1.56260 4.18949i −0.176929 0.474366i
\(79\) 13.7008 + 4.02292i 1.54146 + 0.452613i 0.938535 0.345185i \(-0.112184\pi\)
0.602925 + 0.797798i \(0.294002\pi\)
\(80\) −2.15235 0.606127i −0.240640 0.0677671i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) −4.58717 8.40078i −0.506568 0.927710i
\(83\) 14.0560 5.24261i 1.54284 0.575451i 0.573081 0.819499i \(-0.305748\pi\)
0.969763 + 0.244048i \(0.0784754\pi\)
\(84\) 0.429608 + 0.276093i 0.0468741 + 0.0301242i
\(85\) 0.176194 + 2.13093i 0.0191109 + 0.231132i
\(86\) 0.932586 + 0.134086i 0.100563 + 0.0144588i
\(87\) −3.46196 + 9.28188i −0.371161 + 0.995122i
\(88\) 1.55049 2.07121i 0.165283 0.220792i
\(89\) 1.23189 0.791689i 0.130580 0.0839189i −0.473720 0.880676i \(-0.657089\pi\)
0.604300 + 0.796757i \(0.293453\pi\)
\(90\) −1.35981 1.77509i −0.143336 0.187110i
\(91\) 2.28345i 0.239370i
\(92\) −0.307729 + 4.78595i −0.0320830 + 0.498970i
\(93\) 1.57355 1.57355i 0.163169 0.163169i
\(94\) 5.68650 + 4.92738i 0.586518 + 0.508221i
\(95\) 5.01719 11.3168i 0.514752 1.16108i
\(96\) −0.142315 0.989821i −0.0145249 0.101023i
\(97\) −6.31543 2.35553i −0.641235 0.239168i 0.00774950 0.999970i \(-0.497533\pi\)
−0.648984 + 0.760802i \(0.724806\pi\)
\(98\) −4.03866 5.39502i −0.407966 0.544979i
\(99\) 2.48246 0.728917i 0.249497 0.0732589i
\(100\) 2.79588 + 4.14524i 0.279588 + 0.414524i
\(101\) 5.92946 12.9837i 0.590004 1.29193i −0.345436 0.938442i \(-0.612269\pi\)
0.935440 0.353485i \(-0.115004\pi\)
\(102\) −0.839265 + 0.458274i −0.0830997 + 0.0453758i
\(103\) 0.0631063 0.882342i 0.00621805 0.0869397i −0.993395 0.114741i \(-0.963396\pi\)
0.999613 + 0.0278015i \(0.00885064\pi\)
\(104\) −3.37927 + 2.92815i −0.331365 + 0.287129i
\(105\) −0.333850 1.09201i −0.0325805 0.106570i
\(106\) 2.82853 + 1.29175i 0.274731 + 0.125466i
\(107\) −13.4013 + 2.91527i −1.29555 + 0.281830i −0.806920 0.590661i \(-0.798867\pi\)
−0.488631 + 0.872491i \(0.662503\pi\)
\(108\) 0.479249 0.877679i 0.0461158 0.0844547i
\(109\) 0.195647 1.36075i 0.0187396 0.130337i −0.978304 0.207174i \(-0.933573\pi\)
0.997044 + 0.0768377i \(0.0244823\pi\)
\(110\) −5.63910 + 1.29241i −0.537667 + 0.123226i
\(111\) −0.928868 + 0.133551i −0.0881642 + 0.0126761i
\(112\) 0.108552 0.499006i 0.0102572 0.0471516i
\(113\) 18.2410 1.30462i 1.71597 0.122729i 0.821602 0.570061i \(-0.193081\pi\)
0.894368 + 0.447333i \(0.147626\pi\)
\(114\) 5.53609 0.518502
\(115\) 7.44295 7.72026i 0.694059 0.719918i
\(116\) 9.90648 0.919794
\(117\) −4.46002 + 0.318987i −0.412329 + 0.0294904i
\(118\) 2.73832 12.5878i 0.252083 1.15881i
\(119\) −0.483355 + 0.0694960i −0.0443091 + 0.00637069i
\(120\) −1.18796 + 1.89440i −0.108446 + 0.172934i
\(121\) −0.612815 + 4.26222i −0.0557105 + 0.387475i
\(122\) 1.84927 3.38669i 0.167425 0.306617i
\(123\) −9.35284 + 2.03459i −0.843317 + 0.183452i
\(124\) −2.02423 0.924437i −0.181782 0.0830169i
\(125\) 1.22192 11.1134i 0.109291 0.994010i
\(126\) 0.385944 0.334422i 0.0343826 0.0297927i
\(127\) −0.707018 + 9.88540i −0.0627377 + 0.877187i 0.864481 + 0.502666i \(0.167647\pi\)
−0.927218 + 0.374521i \(0.877807\pi\)
\(128\) −0.877679 + 0.479249i −0.0775766 + 0.0423600i
\(129\) 0.391394 0.857033i 0.0344603 0.0754576i
\(130\) 9.99777 0.110945i 0.876862 0.00973050i
\(131\) −4.72860 + 1.38844i −0.413140 + 0.121309i −0.481696 0.876338i \(-0.659979\pi\)
0.0685560 + 0.997647i \(0.478161\pi\)
\(132\) −1.55049 2.07121i −0.134953 0.180276i
\(133\) 2.64890 + 0.987988i 0.229689 + 0.0856694i
\(134\) −0.876591 6.09683i −0.0757260 0.526686i
\(135\) −2.08628 + 0.804625i −0.179559 + 0.0692511i
\(136\) 0.722672 + 0.626199i 0.0619687 + 0.0536961i
\(137\) −5.79056 + 5.79056i −0.494721 + 0.494721i −0.909790 0.415069i \(-0.863757\pi\)
0.415069 + 0.909790i \(0.363757\pi\)
\(138\) 4.50539 + 1.64362i 0.383524 + 0.139914i
\(139\) 8.01319i 0.679670i −0.940485 0.339835i \(-0.889629\pi\)
0.940485 0.339835i \(-0.110371\pi\)
\(140\) −0.906494 + 0.694421i −0.0766128 + 0.0586893i
\(141\) 6.32986 4.06795i 0.533070 0.342584i
\(142\) 4.73644 6.32714i 0.397473 0.530962i
\(143\) −4.04286 + 10.8393i −0.338081 + 0.906430i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −16.9010 14.3195i −1.40355 1.18917i
\(146\) −2.50801 1.61180i −0.207564 0.133393i
\(147\) −6.31430 + 2.35511i −0.520795 + 0.194246i
\(148\) 0.449737 + 0.823631i 0.0369681 + 0.0677021i
\(149\) −12.3890 14.2977i −1.01495 1.17132i −0.985139 0.171760i \(-0.945055\pi\)
−0.0298115 0.999556i \(-0.509491\pi\)
\(150\) 4.76502 1.51478i 0.389063 0.123681i
\(151\) 1.99256 + 0.585069i 0.162152 + 0.0476122i 0.361801 0.932255i \(-0.382162\pi\)
−0.199649 + 0.979868i \(0.563980\pi\)
\(152\) −1.93466 5.18704i −0.156922 0.420724i
\(153\) 0.203262 + 0.934380i 0.0164327 + 0.0755401i
\(154\) −0.372241 1.26774i −0.0299960 0.102157i
\(155\) 2.11720 + 4.50311i 0.170058 + 0.361699i
\(156\) 1.85749 + 4.06734i 0.148718 + 0.325648i
\(157\) −6.77069 5.06848i −0.540360 0.404509i 0.293936 0.955825i \(-0.405035\pi\)
−0.834296 + 0.551317i \(0.814126\pi\)
\(158\) −13.9529 3.03526i −1.11003 0.241472i
\(159\) 2.03631 2.35003i 0.161490 0.186369i
\(160\) 2.19011 + 0.451036i 0.173143 + 0.0356575i
\(161\) 1.86240 + 1.59048i 0.146778 + 0.125348i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) −1.07253 14.9960i −0.0840073 1.17458i −0.848232 0.529625i \(-0.822333\pi\)
0.764224 0.644951i \(-0.223122\pi\)
\(164\) 5.17479 + 8.05213i 0.404083 + 0.628765i
\(165\) −0.348662 + 5.77479i −0.0271433 + 0.449567i
\(166\) −13.6462 + 6.23199i −1.05915 + 0.483696i
\(167\) 15.2464 11.4133i 1.17980 0.883191i 0.184776 0.982781i \(-0.440844\pi\)
0.995029 + 0.0995898i \(0.0317531\pi\)
\(168\) −0.448210 0.244741i −0.0345802 0.0188822i
\(169\) 3.78099 5.88334i 0.290846 0.452565i
\(170\) −0.327764 2.11293i −0.0251383 0.162054i
\(171\) 1.55970 5.31184i 0.119273 0.406206i
\(172\) −0.939775 0.0672140i −0.0716572 0.00512502i
\(173\) 20.9356 + 1.49734i 1.59170 + 0.113841i 0.838855 0.544356i \(-0.183226\pi\)
0.752846 + 0.658196i \(0.228680\pi\)
\(174\) 2.79098 9.50520i 0.211584 0.720588i
\(175\) 2.55029 + 0.125593i 0.192784 + 0.00949395i
\(176\) −1.39878 + 2.17655i −0.105437 + 0.164063i
\(177\) −11.3065 6.17380i −0.849847 0.464051i
\(178\) −1.17228 + 0.877555i −0.0878658 + 0.0657755i
\(179\) −4.54563 + 2.07592i −0.339757 + 0.155162i −0.577985 0.816048i \(-0.696161\pi\)
0.238228 + 0.971209i \(0.423433\pi\)
\(180\) 1.48297 + 1.67355i 0.110534 + 0.124739i
\(181\) −6.78877 10.5635i −0.504605 0.785181i 0.491727 0.870749i \(-0.336366\pi\)
−0.996332 + 0.0855684i \(0.972729\pi\)
\(182\) 0.162899 + 2.27763i 0.0120749 + 0.168829i
\(183\) −2.72851 2.72851i −0.201697 0.201697i
\(184\) −0.0344808 4.79571i −0.00254196 0.353544i
\(185\) 0.423261 2.05524i 0.0311188 0.151104i
\(186\) −1.45728 + 1.68180i −0.106853 + 0.123315i
\(187\) 2.41749 + 0.525893i 0.176784 + 0.0384571i
\(188\) −6.02353 4.50916i −0.439311 0.328864i
\(189\) −0.212143 0.464528i −0.0154311 0.0337894i
\(190\) −4.19707 + 11.6459i −0.304488 + 0.844879i
\(191\) 3.78068 + 12.8758i 0.273560 + 0.931660i 0.975606 + 0.219529i \(0.0704519\pi\)
−0.702046 + 0.712132i \(0.747730\pi\)
\(192\) 0.212565 + 0.977147i 0.0153406 + 0.0705195i
\(193\) −1.68287 4.51194i −0.121135 0.324776i 0.862203 0.506564i \(-0.169084\pi\)
−0.983338 + 0.181787i \(0.941812\pi\)
\(194\) 6.46738 + 1.89899i 0.464331 + 0.136340i
\(195\) 2.71025 9.62405i 0.194085 0.689192i
\(196\) 4.41324 + 5.09315i 0.315232 + 0.363797i
\(197\) −6.49645 11.8974i −0.462853 0.847651i −0.999991 0.00415738i \(-0.998677\pi\)
0.537139 0.843494i \(-0.319505\pi\)
\(198\) −2.42414 + 0.904157i −0.172276 + 0.0642556i
\(199\) −6.41867 4.12503i −0.455008 0.292416i 0.292992 0.956115i \(-0.405349\pi\)
−0.748000 + 0.663699i \(0.768985\pi\)
\(200\) −3.08448 3.93523i −0.218105 0.278263i
\(201\) −6.09683 0.876591i −0.430037 0.0618300i
\(202\) −4.98811 + 13.3736i −0.350962 + 0.940966i
\(203\) 3.03175 4.04995i 0.212787 0.284250i
\(204\) 0.804434 0.516978i 0.0563217 0.0361957i
\(205\) 2.81066 21.2174i 0.196305 1.48188i
\(206\) 0.884596i 0.0616327i
\(207\) 2.84636 3.85983i 0.197835 0.268276i
\(208\) 3.16177 3.16177i 0.219229 0.219229i
\(209\) −10.8249 9.37979i −0.748771 0.648814i
\(210\) 0.410903 + 1.06542i 0.0283550 + 0.0735207i
\(211\) −2.24097 15.5863i −0.154275 1.07300i −0.908950 0.416905i \(-0.863115\pi\)
0.754676 0.656098i \(-0.227794\pi\)
\(212\) −2.91348 1.08667i −0.200099 0.0746329i
\(213\) −4.73644 6.32714i −0.324535 0.433529i
\(214\) 13.1592 3.86388i 0.899542 0.264129i
\(215\) 1.50615 + 1.47309i 0.102719 + 0.100464i
\(216\) −0.415415 + 0.909632i −0.0282654 + 0.0618926i
\(217\) −0.997417 + 0.544631i −0.0677091 + 0.0369720i
\(218\) −0.0980733 + 1.37124i −0.00664236 + 0.0928724i
\(219\) −2.25309 + 1.95232i −0.152250 + 0.131925i
\(220\) 5.53253 1.69140i 0.373003 0.114034i
\(221\) −3.88932 1.77619i −0.261624 0.119480i
\(222\) 0.916974 0.199475i 0.0615432 0.0133879i
\(223\) −5.62381 + 10.2992i −0.376598 + 0.689687i −0.995394 0.0958638i \(-0.969439\pi\)
0.618797 + 0.785551i \(0.287620\pi\)
\(224\) −0.0726768 + 0.505479i −0.00485593 + 0.0337737i
\(225\) −0.110956 4.99877i −0.00739706 0.333251i
\(226\) −18.1015 + 2.60260i −1.20409 + 0.173122i
\(227\) −2.91698 + 13.4091i −0.193607 + 0.889996i 0.773135 + 0.634241i \(0.218687\pi\)
−0.966742 + 0.255754i \(0.917676\pi\)
\(228\) −5.52198 + 0.394940i −0.365702 + 0.0261555i
\(229\) 8.33186 0.550585 0.275292 0.961361i \(-0.411225\pi\)
0.275292 + 0.961361i \(0.411225\pi\)
\(230\) −6.87323 + 8.23157i −0.453207 + 0.542773i
\(231\) −1.32126 −0.0869323
\(232\) −9.88124 + 0.706721i −0.648735 + 0.0463985i
\(233\) 0.940730 4.32447i 0.0616293 0.283305i −0.936010 0.351973i \(-0.885511\pi\)
0.997640 + 0.0686673i \(0.0218747\pi\)
\(234\) 4.42590 0.636349i 0.289330 0.0415994i
\(235\) 3.75860 + 16.3997i 0.245184 + 1.06980i
\(236\) −1.83333 + 12.7511i −0.119340 + 0.830027i
\(237\) −6.84329 + 12.5326i −0.444520 + 0.814077i
\(238\) 0.477166 0.103801i 0.0309301 0.00672842i
\(239\) 22.6919 + 10.3630i 1.46782 + 0.670330i 0.979335 0.202244i \(-0.0648234\pi\)
0.488482 + 0.872574i \(0.337551\pi\)
\(240\) 1.04979 1.97432i 0.0677637 0.127442i
\(241\) −13.2575 + 11.4877i −0.853990 + 0.739986i −0.967317 0.253571i \(-0.918395\pi\)
0.113327 + 0.993558i \(0.463849\pi\)
\(242\) 0.307190 4.29508i 0.0197469 0.276098i
\(243\) −0.877679 + 0.479249i −0.0563031 + 0.0307438i
\(244\) −1.60296 + 3.50999i −0.102619 + 0.224704i
\(245\) −0.167213 15.0684i −0.0106829 0.962685i
\(246\) 9.18386 2.69663i 0.585542 0.171931i
\(247\) 14.8346 + 19.8167i 0.943903 + 1.26091i
\(248\) 2.08503 + 0.777674i 0.132399 + 0.0493824i
\(249\) 2.13499 + 14.8492i 0.135299 + 0.941027i
\(250\) −0.425983 + 11.1722i −0.0269416 + 0.706593i
\(251\) −14.1158 12.2314i −0.890979 0.772038i 0.0835019 0.996508i \(-0.473390\pi\)
−0.974481 + 0.224470i \(0.927935\pi\)
\(252\) −0.361103 + 0.361103i −0.0227473 + 0.0227473i
\(253\) −6.02471 10.8473i −0.378770 0.681963i
\(254\) 9.91065i 0.621849i
\(255\) −2.11968 0.280794i −0.132740 0.0175840i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 12.9691 17.3247i 0.808990 1.08068i −0.186180 0.982516i \(-0.559611\pi\)
0.995170 0.0981683i \(-0.0312984\pi\)
\(258\) −0.329257 + 0.882771i −0.0204986 + 0.0549589i
\(259\) 0.474351 + 0.0682014i 0.0294747 + 0.00423783i
\(260\) −9.96438 + 0.823895i −0.617965 + 0.0510958i
\(261\) −8.33387 5.35585i −0.515853 0.331519i
\(262\) 4.61750 1.72224i 0.285270 0.106400i
\(263\) 5.49488 + 10.0631i 0.338829 + 0.620518i 0.990426 0.138047i \(-0.0440825\pi\)
−0.651597 + 0.758565i \(0.725901\pi\)
\(264\) 1.69430 + 1.95533i 0.104277 + 0.120342i
\(265\) 3.39979 + 6.06527i 0.208848 + 0.372586i
\(266\) −2.71263 0.796500i −0.166322 0.0488366i
\(267\) 0.511739 + 1.37203i 0.0313179 + 0.0839666i
\(268\) 1.30930 + 6.01876i 0.0799783 + 0.367654i
\(269\) 5.98518 + 20.3837i 0.364923 + 1.24281i 0.913543 + 0.406742i \(0.133335\pi\)
−0.548620 + 0.836072i \(0.684847\pi\)
\(270\) 2.02357 0.951409i 0.123150 0.0579009i
\(271\) 11.4494 + 25.0706i 0.695500 + 1.52293i 0.845344 + 0.534222i \(0.179395\pi\)
−0.149844 + 0.988710i \(0.547877\pi\)
\(272\) −0.765504 0.573049i −0.0464155 0.0347462i
\(273\) 2.23126 + 0.485381i 0.135042 + 0.0293766i
\(274\) 5.36271 6.18890i 0.323973 0.373885i
\(275\) −11.8837 5.11149i −0.716612 0.308235i
\(276\) −4.61116 1.31802i −0.277559 0.0793357i
\(277\) −3.82464 3.82464i −0.229800 0.229800i 0.582809 0.812609i \(-0.301954\pi\)
−0.812609 + 0.582809i \(0.801954\pi\)
\(278\) 0.571655 + 7.99278i 0.0342856 + 0.479375i
\(279\) 1.20311 + 1.87207i 0.0720281 + 0.112078i
\(280\) 0.854645 0.757320i 0.0510748 0.0452585i
\(281\) 6.86060 3.13313i 0.409269 0.186907i −0.200132 0.979769i \(-0.564137\pi\)
0.609401 + 0.792862i \(0.291410\pi\)
\(282\) −6.02353 + 4.50916i −0.358696 + 0.268516i
\(283\) −9.58838 5.23565i −0.569970 0.311227i 0.168296 0.985736i \(-0.446173\pi\)
−0.738266 + 0.674509i \(0.764355\pi\)
\(284\) −4.27300 + 6.64892i −0.253556 + 0.394541i
\(285\) 9.99166 + 7.30808i 0.591855 + 0.432893i
\(286\) 3.25929 11.1001i 0.192726 0.656364i
\(287\) 4.87553 + 0.348705i 0.287793 + 0.0205834i
\(288\) 0.997452 + 0.0713392i 0.0587754 + 0.00420370i
\(289\) 4.53184 15.4340i 0.266579 0.907885i
\(290\) 17.8795 + 13.0774i 1.04992 + 0.767929i
\(291\) 3.64414 5.67040i 0.213624 0.332405i
\(292\) 2.61660 + 1.42877i 0.153125 + 0.0836125i
\(293\) −15.9812 + 11.9634i −0.933630 + 0.698907i −0.953658 0.300893i \(-0.902715\pi\)
0.0200281 + 0.999799i \(0.493624\pi\)
\(294\) 6.13020 2.79957i 0.357521 0.163274i
\(295\) 21.5591 19.1040i 1.25522 1.11228i
\(296\) −0.507348 0.789449i −0.0294890 0.0458858i
\(297\) 0.184573 + 2.58067i 0.0107100 + 0.149746i
\(298\) 13.3775 + 13.3775i 0.774936 + 0.774936i
\(299\) 6.18929 + 20.5315i 0.357936 + 1.18737i
\(300\) −4.64482 + 1.85085i −0.268169 + 0.106859i
\(301\) −0.315084 + 0.363627i −0.0181612 + 0.0209591i
\(302\) −2.02922 0.441430i −0.116769 0.0254015i
\(303\) 11.4266 + 8.55384i 0.656441 + 0.491405i
\(304\) 2.29977 + 5.03580i 0.131901 + 0.288823i
\(305\) 7.80832 3.67119i 0.447103 0.210212i
\(306\) −0.269402 0.917499i −0.0154007 0.0524499i
\(307\) 2.07106 + 9.52053i 0.118202 + 0.543365i 0.997719 + 0.0674988i \(0.0215019\pi\)
−0.879517 + 0.475867i \(0.842134\pi\)
\(308\) 0.461732 + 1.23795i 0.0263096 + 0.0705388i
\(309\) 0.848763 + 0.249219i 0.0482845 + 0.0141776i
\(310\) −2.43306 4.34060i −0.138188 0.246529i
\(311\) 11.5872 + 13.3723i 0.657048 + 0.758274i 0.982292 0.187356i \(-0.0599919\pi\)
−0.325244 + 0.945630i \(0.605446\pi\)
\(312\) −2.14292 3.92447i −0.121319 0.222179i
\(313\) −22.1611 + 8.26566i −1.25262 + 0.467203i −0.886224 0.463256i \(-0.846681\pi\)
−0.366395 + 0.930459i \(0.619408\pi\)
\(314\) 7.11502 + 4.57255i 0.401524 + 0.258044i
\(315\) 1.13802 0.0940964i 0.0641204 0.00530173i
\(316\) 14.1339 + 2.03214i 0.795092 + 0.114317i
\(317\) −4.63391 + 12.4240i −0.260266 + 0.697801i 0.739432 + 0.673231i \(0.235094\pi\)
−0.999698 + 0.0245693i \(0.992179\pi\)
\(318\) −1.86348 + 2.48931i −0.104498 + 0.139594i
\(319\) −21.5619 + 13.8570i −1.20724 + 0.775844i
\(320\) −2.21670 0.293647i −0.123917 0.0164153i
\(321\) 13.7147i 0.765480i
\(322\) −1.97112 1.45357i −0.109846 0.0810042i
\(323\) 3.74327 3.74327i 0.208281 0.208281i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) 18.1907 + 12.9976i 1.00904 + 0.720978i
\(326\) 2.13960 + 14.8813i 0.118502 + 0.824197i
\(327\) 1.28807 + 0.480425i 0.0712304 + 0.0265676i
\(328\) −5.73603 7.66245i −0.316720 0.423088i
\(329\) −3.68685 + 1.08256i −0.203262 + 0.0596832i
\(330\) −0.0641953 5.78495i −0.00353383 0.318451i
\(331\) 2.10640 4.61237i 0.115778 0.253519i −0.842868 0.538121i \(-0.819134\pi\)
0.958646 + 0.284602i \(0.0918616\pi\)
\(332\) 13.1668 7.18962i 0.722622 0.394582i
\(333\) 0.0669461 0.936029i 0.00366862 0.0512941i
\(334\) −14.3934 + 12.4719i −0.787570 + 0.682434i
\(335\) 6.46621 12.1609i 0.353287 0.664419i
\(336\) 0.464528 + 0.212143i 0.0253421 + 0.0115733i
\(337\) −32.6223 + 7.09654i −1.77705 + 0.386573i −0.976979 0.213334i \(-0.931568\pi\)
−0.800069 + 0.599907i \(0.795204\pi\)
\(338\) −3.35165 + 6.13808i −0.182306 + 0.333868i
\(339\) −2.60260 + 18.1015i −0.141354 + 0.983137i
\(340\) 0.477663 + 2.08416i 0.0259049 + 0.113030i
\(341\) 5.69893 0.819382i 0.308614 0.0443720i
\(342\) −1.17678 + 5.40957i −0.0636330 + 0.292516i
\(343\) 6.99841 0.500537i 0.377879 0.0270264i
\(344\) 0.942176 0.0507987
\(345\) 5.96172 + 8.91392i 0.320968 + 0.479909i
\(346\) −20.9890 −1.12838
\(347\) 30.4296 2.17637i 1.63355 0.116834i 0.775826 0.630947i \(-0.217333\pi\)
0.857722 + 0.514113i \(0.171879\pi\)
\(348\) −2.10577 + 9.68009i −0.112881 + 0.518907i
\(349\) −18.2585 + 2.62518i −0.977357 + 0.140523i −0.612440 0.790517i \(-0.709812\pi\)
−0.364917 + 0.931040i \(0.618903\pi\)
\(350\) −2.55275 + 0.0566626i −0.136450 + 0.00302874i
\(351\) 0.636349 4.42590i 0.0339658 0.236237i
\(352\) 1.23994 2.27079i 0.0660893 0.121033i
\(353\) −3.74833 + 0.815400i −0.199504 + 0.0433993i −0.311207 0.950342i \(-0.600733\pi\)
0.111703 + 0.993742i \(0.464369\pi\)
\(354\) 11.7181 + 5.35148i 0.622810 + 0.284428i
\(355\) 16.9008 5.16690i 0.897000 0.274230i
\(356\) 1.10668 0.958948i 0.0586542 0.0508241i
\(357\) 0.0348367 0.487081i 0.00184376 0.0257791i
\(358\) 4.38596 2.39491i 0.231805 0.126575i
\(359\) −5.71286 + 12.5094i −0.301513 + 0.660222i −0.998375 0.0569836i \(-0.981852\pi\)
0.696862 + 0.717205i \(0.254579\pi\)
\(360\) −1.59859 1.56350i −0.0842529 0.0824035i
\(361\) −11.1764 + 3.28170i −0.588233 + 0.172721i
\(362\) 7.52506 + 10.0523i 0.395509 + 0.528338i
\(363\) −4.03456 1.50481i −0.211759 0.0789821i
\(364\) −0.324968 2.26020i −0.0170330 0.118467i
\(365\) −2.39881 6.21978i −0.125559 0.325558i
\(366\) 2.91621 + 2.52691i 0.152432 + 0.132084i
\(367\) −0.954106 + 0.954106i −0.0498040 + 0.0498040i −0.731570 0.681766i \(-0.761212\pi\)
0.681766 + 0.731570i \(0.261212\pi\)
\(368\) 0.376515 + 4.78103i 0.0196272 + 0.249228i
\(369\) 9.57158i 0.498277i
\(370\) −0.275564 + 2.08020i −0.0143259 + 0.108144i
\(371\) −1.33588 + 0.858520i −0.0693556 + 0.0445721i
\(372\) 1.33359 1.78147i 0.0691436 0.0923650i
\(373\) −6.87339 + 18.4283i −0.355891 + 0.954179i 0.628442 + 0.777857i \(0.283693\pi\)
−0.984332 + 0.176323i \(0.943580\pi\)
\(374\) −2.44885 0.352091i −0.126627 0.0182062i
\(375\) 10.5997 + 3.55631i 0.547364 + 0.183647i
\(376\) 6.32986 + 4.06795i 0.326438 + 0.209789i
\(377\) 41.5031 15.4799i 2.13752 0.797253i
\(378\) 0.244741 + 0.448210i 0.0125881 + 0.0230534i
\(379\) −13.6774 15.7846i −0.702561 0.810798i 0.286535 0.958070i \(-0.407496\pi\)
−0.989096 + 0.147271i \(0.952951\pi\)
\(380\) 3.35557 11.9156i 0.172137 0.611257i
\(381\) −9.50920 2.79215i −0.487171 0.143046i
\(382\) −4.68959 12.5733i −0.239940 0.643305i
\(383\) 3.89270 + 17.8945i 0.198908 + 0.914364i 0.963051 + 0.269318i \(0.0867982\pi\)
−0.764144 + 0.645046i \(0.776838\pi\)
\(384\) −0.281733 0.959493i −0.0143771 0.0489639i
\(385\) 1.00168 2.77943i 0.0510505 0.141653i
\(386\) 2.00046 + 4.38039i 0.101821 + 0.222956i
\(387\) 0.754250 + 0.564625i 0.0383407 + 0.0287015i
\(388\) −6.58638 1.43278i −0.334373 0.0727383i
\(389\) 12.2630 14.1522i 0.621757 0.717545i −0.354283 0.935138i \(-0.615275\pi\)
0.976040 + 0.217593i \(0.0698205\pi\)
\(390\) −2.01677 + 9.79287i −0.102123 + 0.495881i
\(391\) 4.15770 1.93501i 0.210264 0.0978575i
\(392\) −4.76534 4.76534i −0.240686 0.240686i
\(393\) −0.351576 4.91567i −0.0177347 0.247963i
\(394\) 7.32864 + 11.4036i 0.369212 + 0.574504i
\(395\) −21.1757 23.8970i −1.06546 1.20239i
\(396\) 2.35346 1.07479i 0.118266 0.0540102i
\(397\) −13.2784 + 9.94011i −0.666425 + 0.498880i −0.878110 0.478458i \(-0.841196\pi\)
0.211685 + 0.977338i \(0.432105\pi\)
\(398\) 6.69660 + 3.65662i 0.335670 + 0.183290i
\(399\) −1.52847 + 2.37835i −0.0765194 + 0.119066i
\(400\) 3.35735 + 3.70516i 0.167868 + 0.185258i
\(401\) −1.06254 + 3.61867i −0.0530605 + 0.180708i −0.981760 0.190127i \(-0.939110\pi\)
0.928699 + 0.370834i \(0.120928\pi\)
\(402\) 6.14383 + 0.439415i 0.306426 + 0.0219160i
\(403\) −9.92504 0.709853i −0.494401 0.0353603i
\(404\) 4.02133 13.6954i 0.200069 0.681372i
\(405\) −0.342766 2.20964i −0.0170322 0.109798i
\(406\) −2.73511 + 4.25591i −0.135741 + 0.211217i
\(407\) −2.13095 1.16359i −0.105627 0.0576769i
\(408\) −0.765504 + 0.573049i −0.0378981 + 0.0283701i
\(409\) 8.12539 3.71074i 0.401775 0.183484i −0.204271 0.978914i \(-0.565482\pi\)
0.606045 + 0.795430i \(0.292755\pi\)
\(410\) −1.28987 + 21.3638i −0.0637023 + 1.05508i
\(411\) −4.42736 6.88910i −0.218385 0.339814i
\(412\) −0.0631063 0.882342i −0.00310903 0.0434699i
\(413\) 4.65182 + 4.65182i 0.228901 + 0.228901i
\(414\) −2.56375 + 4.05305i −0.126001 + 0.199196i
\(415\) −32.8556 6.76638i −1.61282 0.332148i
\(416\) −2.92815 + 3.37927i −0.143565 + 0.165682i
\(417\) 7.83007 + 1.70333i 0.383440 + 0.0834123i
\(418\) 11.4664 + 8.58365i 0.560841 + 0.419840i
\(419\) −11.2504 24.6350i −0.549620 1.20350i −0.956959 0.290223i \(-0.906271\pi\)
0.407339 0.913277i \(-0.366457\pi\)
\(420\) −0.485862 1.03339i −0.0237076 0.0504242i
\(421\) 5.35924 + 18.2519i 0.261193 + 0.889543i 0.980776 + 0.195136i \(0.0625149\pi\)
−0.719583 + 0.694407i \(0.755667\pi\)
\(422\) 3.34717 + 15.3867i 0.162938 + 0.749012i
\(423\) 2.62948 + 7.04991i 0.127850 + 0.342778i
\(424\) 2.98358 + 0.876057i 0.144895 + 0.0425451i
\(425\) 2.19768 4.24614i 0.106603 0.205968i
\(426\) 5.17574 + 5.97313i 0.250766 + 0.289399i
\(427\) 0.944381 + 1.72950i 0.0457018 + 0.0836966i
\(428\) −12.8500 + 4.79280i −0.621127 + 0.231669i
\(429\) −9.73224 6.25453i −0.469877 0.301972i
\(430\) −1.60740 1.36189i −0.0775157 0.0656761i
\(431\) −33.2619 4.78233i −1.60217 0.230357i −0.717493 0.696566i \(-0.754710\pi\)
−0.884675 + 0.466209i \(0.845619\pi\)
\(432\) 0.349464 0.936950i 0.0168136 0.0450790i
\(433\) 11.3800 15.2020i 0.546890 0.730560i −0.438901 0.898535i \(-0.644632\pi\)
0.985791 + 0.167976i \(0.0537230\pi\)
\(434\) 0.956022 0.614398i 0.0458905 0.0294921i
\(435\) 17.5849 13.4709i 0.843129 0.645880i
\(436\) 1.37475i 0.0658385i
\(437\) −26.4954 1.70361i −1.26745 0.0814949i
\(438\) 2.10808 2.10808i 0.100728 0.100728i
\(439\) −1.66718 1.44462i −0.0795701 0.0689479i 0.614168 0.789176i \(-0.289492\pi\)
−0.693738 + 0.720228i \(0.744037\pi\)
\(440\) −5.39777 + 2.08178i −0.257329 + 0.0992449i
\(441\) −0.959090 6.67061i −0.0456709 0.317648i
\(442\) 4.00613 + 1.49421i 0.190552 + 0.0710722i
\(443\) 11.5896 + 15.4819i 0.550637 + 0.735565i 0.986376 0.164508i \(-0.0526037\pi\)
−0.435739 + 0.900073i \(0.643513\pi\)
\(444\) −0.900407 + 0.264383i −0.0427314 + 0.0125471i
\(445\) −3.27419 + 0.0363336i −0.155212 + 0.00172238i
\(446\) 4.87474 10.6742i 0.230826 0.505437i
\(447\) 16.6045 9.06672i 0.785364 0.428841i
\(448\) 0.0364312 0.509375i 0.00172121 0.0240657i
\(449\) −15.6185 + 13.5335i −0.737083 + 0.638686i −0.940261 0.340456i \(-0.889419\pi\)
0.203177 + 0.979142i \(0.434873\pi\)
\(450\) 0.467281 + 4.97812i 0.0220278 + 0.234671i
\(451\) −22.5263 10.2874i −1.06072 0.484416i
\(452\) 17.8697 3.88731i 0.840519 0.182844i
\(453\) −0.995247 + 1.82266i −0.0467608 + 0.0856360i
\(454\) 1.95295 13.5831i 0.0916565 0.637485i
\(455\) −2.71265 + 4.32576i −0.127171 + 0.202795i
\(456\) 5.47974 0.787868i 0.256612 0.0368953i
\(457\) −4.44081 + 20.4141i −0.207732 + 0.954931i 0.748685 + 0.662926i \(0.230686\pi\)
−0.956417 + 0.292004i \(0.905678\pi\)
\(458\) −8.31063 + 0.594388i −0.388330 + 0.0277739i
\(459\) −0.956233 −0.0446331
\(460\) 6.26849 8.70092i 0.292270 0.405683i
\(461\) 28.2217 1.31442 0.657209 0.753709i \(-0.271737\pi\)
0.657209 + 0.753709i \(0.271737\pi\)
\(462\) 1.31789 0.0942573i 0.0613138 0.00438525i
\(463\) −0.245614 + 1.12907i −0.0114147 + 0.0524723i −0.982502 0.186252i \(-0.940366\pi\)
0.971087 + 0.238725i \(0.0767294\pi\)
\(464\) 9.80565 1.40984i 0.455216 0.0654502i
\(465\) −4.85024 + 1.11161i −0.224925 + 0.0515498i
\(466\) −0.629829 + 4.38056i −0.0291763 + 0.202925i
\(467\) 5.81066 10.6414i 0.268885 0.492426i −0.707994 0.706218i \(-0.750400\pi\)
0.976879 + 0.213792i \(0.0685815\pi\)
\(468\) −4.36923 + 0.950467i −0.201968 + 0.0439354i
\(469\) 2.86127 + 1.30670i 0.132121 + 0.0603377i
\(470\) −4.91896 16.0898i −0.226895 0.742166i
\(471\) 6.39186 5.53858i 0.294521 0.255204i
\(472\) 0.919009 12.8494i 0.0423008 0.591443i
\(473\) 2.13948 1.16825i 0.0983735 0.0537160i
\(474\) 5.93179 12.9888i 0.272456 0.596596i
\(475\) −22.9484 + 15.4782i −1.05295 + 0.710190i
\(476\) −0.468545 + 0.137577i −0.0214757 + 0.00630584i
\(477\) 1.86348 + 2.48931i 0.0853227 + 0.113978i
\(478\) −23.3734 8.71782i −1.06907 0.398744i
\(479\) −4.80678 33.4319i −0.219627 1.52754i −0.739418 0.673247i \(-0.764899\pi\)
0.519791 0.854294i \(-0.326010\pi\)
\(480\) −0.906269 + 2.04418i −0.0413653 + 0.0933037i
\(481\) 3.17117 + 2.74784i 0.144593 + 0.125291i
\(482\) 12.4042 12.4042i 0.564995 0.564995i
\(483\) −1.95002 + 1.48176i −0.0887289 + 0.0674224i
\(484\) 4.30605i 0.195730i
\(485\) 9.16566 + 11.9648i 0.416191 + 0.543294i
\(486\) 0.841254 0.540641i 0.0381600 0.0245240i
\(487\) −1.98095 + 2.64624i −0.0897655 + 0.119913i −0.843176 0.537638i \(-0.819317\pi\)
0.753410 + 0.657551i \(0.228408\pi\)
\(488\) 1.34847 3.61540i 0.0610426 0.163662i
\(489\) 14.8813 + 2.13960i 0.672954 + 0.0967562i
\(490\) 1.24175 + 15.0181i 0.0560968 + 0.678448i
\(491\) −6.96785 4.47796i −0.314455 0.202088i 0.373887 0.927474i \(-0.378025\pi\)
−0.688342 + 0.725387i \(0.741661\pi\)
\(492\) −8.96809 + 3.34492i −0.404313 + 0.150801i
\(493\) −4.53988 8.31417i −0.204466 0.374451i
\(494\) −16.2105 18.7079i −0.729346 0.841710i
\(495\) −5.56870 1.56821i −0.250295 0.0704859i
\(496\) −2.13519 0.626949i −0.0958730 0.0281508i
\(497\) 1.41050 + 3.78169i 0.0632695 + 0.169632i
\(498\) −3.18887 14.6590i −0.142897 0.656886i
\(499\) 0.967518 + 3.29506i 0.0433121 + 0.147507i 0.978310 0.207145i \(-0.0664173\pi\)
−0.934998 + 0.354653i \(0.884599\pi\)
\(500\) −0.372119 11.1741i −0.0166417 0.499723i
\(501\) 7.91165 + 17.3241i 0.353466 + 0.773983i
\(502\) 14.9524 + 11.1932i 0.667357 + 0.499577i
\(503\) 5.31757 + 1.15677i 0.237099 + 0.0515776i 0.329544 0.944140i \(-0.393105\pi\)
−0.0924458 + 0.995718i \(0.529468\pi\)
\(504\) 0.334422 0.385944i 0.0148963 0.0171913i
\(505\) −26.6569 + 17.5523i −1.18622 + 0.781069i
\(506\) 6.78320 + 10.3899i 0.301550 + 0.461885i
\(507\) 4.94518 + 4.94518i 0.219623 + 0.219623i
\(508\) 0.707018 + 9.88540i 0.0313688 + 0.438594i
\(509\) 8.98107 + 13.9748i 0.398079 + 0.619423i 0.981207 0.192957i \(-0.0618079\pi\)
−0.583128 + 0.812380i \(0.698172\pi\)
\(510\) 2.13431 + 0.128863i 0.0945090 + 0.00570613i
\(511\) 1.38488 0.632455i 0.0612636 0.0279782i
\(512\) −0.800541 + 0.599278i −0.0353793 + 0.0264846i
\(513\) 4.85891 + 2.65316i 0.214526 + 0.117140i
\(514\) −11.7001 + 18.2057i −0.516070 + 0.803021i
\(515\) −1.16774 + 1.59654i −0.0514566 + 0.0703519i
\(516\) 0.265442 0.904011i 0.0116854 0.0397969i
\(517\) 19.4178 + 1.38879i 0.853995 + 0.0610789i
\(518\) −0.478008 0.0341878i −0.0210025 0.00150213i
\(519\) −5.91329 + 20.1388i −0.259565 + 0.883997i
\(520\) 9.88022 1.53265i 0.433276 0.0672110i
\(521\) −0.510724 + 0.794703i −0.0223752 + 0.0348166i −0.852261 0.523117i \(-0.824769\pi\)
0.829886 + 0.557933i \(0.188406\pi\)
\(522\) 8.69471 + 4.74767i 0.380557 + 0.207800i
\(523\) 12.0923 9.05216i 0.528758 0.395823i −0.301275 0.953537i \(-0.597412\pi\)
0.830033 + 0.557714i \(0.188321\pi\)
\(524\) −4.48287 + 2.04726i −0.195835 + 0.0894350i
\(525\) −0.664827 + 2.46531i −0.0290154 + 0.107595i
\(526\) −6.19877 9.64547i −0.270279 0.420563i
\(527\) 0.151805 + 2.12252i 0.00661274 + 0.0924582i
\(528\) −1.82947 1.82947i −0.0796176 0.0796176i
\(529\) −21.0568 9.25272i −0.915511 0.402292i
\(530\) −3.82382 5.80727i −0.166096 0.252252i
\(531\) 8.43608 9.73575i 0.366095 0.422496i
\(532\) 2.76254 + 0.600954i 0.119771 + 0.0260547i
\(533\) 34.2620 + 25.6482i 1.48405 + 1.11095i
\(534\) −0.608315 1.33202i −0.0263243 0.0576423i
\(535\) 28.8506 + 10.3975i 1.24732 + 0.449524i
\(536\) −1.73534 5.91002i −0.0749552 0.255274i
\(537\) −1.06224 4.88302i −0.0458389 0.210718i
\(538\) −7.42408 19.9047i −0.320075 0.858154i
\(539\) −16.7298 4.91233i −0.720605 0.211589i
\(540\) −1.95054 + 1.09334i −0.0839378 + 0.0470500i
\(541\) −20.9339 24.1590i −0.900019 1.03868i −0.999049 0.0435928i \(-0.986120\pi\)
0.0990304 0.995084i \(-0.468426\pi\)
\(542\) −13.2087 24.1900i −0.567363 1.03905i
\(543\) 11.7652 4.38818i 0.504892 0.188315i
\(544\) 0.804434 + 0.516978i 0.0344898 + 0.0221653i
\(545\) −1.98716 + 2.34539i −0.0851205 + 0.100465i
\(546\) −2.26020 0.324968i −0.0967278 0.0139074i
\(547\) −4.36522 + 11.7036i −0.186643 + 0.500410i −0.996246 0.0865682i \(-0.972410\pi\)
0.809603 + 0.586978i \(0.199683\pi\)
\(548\) −4.90754 + 6.55570i −0.209640 + 0.280046i
\(549\) 3.24614 2.08617i 0.138542 0.0890354i
\(550\) 12.2180 + 4.25070i 0.520979 + 0.181250i
\(551\) 54.8432i 2.33640i
\(552\) 4.69344 + 0.985708i 0.199766 + 0.0419545i
\(553\) 5.15626 5.15626i 0.219266 0.219266i
\(554\) 4.08774 + 3.54205i 0.173671 + 0.150487i
\(555\) 1.91830 + 0.850461i 0.0814273 + 0.0361000i
\(556\) −1.14040 7.93163i −0.0483636 0.336376i
\(557\) −7.66305 2.85817i −0.324694 0.121105i 0.181831 0.983330i \(-0.441798\pi\)
−0.506525 + 0.862225i \(0.669070\pi\)
\(558\) −1.33359 1.78147i −0.0564555 0.0754157i
\(559\) −4.04221 + 1.18690i −0.170967 + 0.0502005i
\(560\) −0.798441 + 0.816360i −0.0337403 + 0.0344975i
\(561\) −1.02775 + 2.25046i −0.0433916 + 0.0950143i
\(562\) −6.61961 + 3.61458i −0.279231 + 0.152472i
\(563\) −1.37028 + 19.1590i −0.0577504 + 0.807456i 0.883218 + 0.468962i \(0.155372\pi\)
−0.940969 + 0.338494i \(0.890083\pi\)
\(564\) 5.68650 4.92738i 0.239445 0.207480i
\(565\) −36.1056 19.1982i −1.51897 0.807672i
\(566\) 9.93746 + 4.53829i 0.417703 + 0.190758i
\(567\) 0.499006 0.108552i 0.0209563 0.00455876i
\(568\) 3.78778 6.93681i 0.158932 0.291062i
\(569\) −2.41925 + 16.8262i −0.101420 + 0.705392i 0.874142 + 0.485670i \(0.161424\pi\)
−0.975562 + 0.219722i \(0.929485\pi\)
\(570\) −10.4876 6.57666i −0.439275 0.275466i
\(571\) 17.6978 2.54456i 0.740629 0.106486i 0.238335 0.971183i \(-0.423398\pi\)
0.502294 + 0.864697i \(0.332489\pi\)
\(572\) −2.45911 + 11.3044i −0.102821 + 0.472659i
\(573\) −13.3852 + 0.957328i −0.559174 + 0.0399929i
\(574\) −4.88798 −0.204020
\(575\) −23.2713 + 5.78331i −0.970480 + 0.241181i
\(576\) −1.00000 −0.0416667
\(577\) −29.5159 + 2.11102i −1.22876 + 0.0878829i −0.670581 0.741836i \(-0.733955\pi\)
−0.558182 + 0.829719i \(0.688501\pi\)
\(578\) −3.41924 + 15.7180i −0.142222 + 0.653783i
\(579\) 4.76654 0.685326i 0.198091 0.0284812i
\(580\) −18.7668 11.7685i −0.779250 0.488662i
\(581\) 1.09029 7.58311i 0.0452327 0.314601i
\(582\) −3.23034 + 5.91592i −0.133902 + 0.245223i
\(583\) 7.86134 1.71013i 0.325583 0.0708263i
\(584\) −2.71186 1.23846i −0.112218 0.0512480i
\(585\) 8.82800 + 4.69405i 0.364993 + 0.194075i
\(586\) 15.0870 13.0730i 0.623238 0.540039i
\(587\) 3.36319 47.0236i 0.138814 1.94087i −0.161171 0.986927i \(-0.551527\pi\)
0.299985 0.953944i \(-0.403018\pi\)
\(588\) −5.91486 + 3.22976i −0.243925 + 0.133193i
\(589\) 5.11777 11.2063i 0.210874 0.461749i
\(590\) −20.1413 + 20.5934i −0.829206 + 0.847816i
\(591\) 13.0064 3.81902i 0.535011 0.157093i
\(592\) 0.562374 + 0.751244i 0.0231134 + 0.0308759i
\(593\) −40.6406 15.1582i −1.66891 0.622471i −0.675528 0.737334i \(-0.736084\pi\)
−0.993381 + 0.114863i \(0.963357\pi\)
\(594\) −0.368206 2.56093i −0.0151077 0.105076i
\(595\) 0.998226 + 0.442554i 0.0409233 + 0.0181430i
\(596\) −14.2977 12.3890i −0.585658 0.507475i
\(597\) 5.39515 5.39515i 0.220809 0.220809i
\(598\) −7.63822 20.0377i −0.312350 0.819402i
\(599\) 16.3972i 0.669972i −0.942223 0.334986i \(-0.891268\pi\)
0.942223 0.334986i \(-0.108732\pi\)
\(600\) 4.50095 2.17749i 0.183750 0.0888958i
\(601\) 33.4782 21.5151i 1.36560 0.877620i 0.366988 0.930226i \(-0.380389\pi\)
0.998615 + 0.0526062i \(0.0167528\pi\)
\(602\) 0.288341 0.385178i 0.0117519 0.0156987i
\(603\) 2.15253 5.77116i 0.0876579 0.235020i
\(604\) 2.05554 + 0.295542i 0.0836389 + 0.0120255i
\(605\) 6.22428 7.34635i 0.253053 0.298672i
\(606\) −12.0077 7.71688i −0.487780 0.313477i
\(607\) 28.4723 10.6196i 1.15566 0.431037i 0.302734 0.953075i \(-0.402101\pi\)
0.852922 + 0.522038i \(0.174828\pi\)
\(608\) −2.65316 4.85891i −0.107600 0.197055i
\(609\) 3.31295 + 3.82334i 0.134247 + 0.154930i
\(610\) −7.52653 + 4.21888i −0.304740 + 0.170817i
\(611\) −32.2815 9.47871i −1.30597 0.383468i
\(612\) 0.334169 + 0.895942i 0.0135080 + 0.0362163i
\(613\) −10.3132 47.4088i −0.416545 1.91483i −0.403662 0.914908i \(-0.632263\pi\)
−0.0128825 0.999917i \(-0.504101\pi\)
\(614\) −2.74497 9.34853i −0.110778 0.377276i
\(615\) 20.1350 + 7.25650i 0.811922 + 0.292610i
\(616\) −0.548870 1.20186i −0.0221146 0.0484242i
\(617\) 2.91434 + 2.18165i 0.117327 + 0.0878298i 0.656330 0.754474i \(-0.272108\pi\)
−0.539003 + 0.842304i \(0.681199\pi\)
\(618\) −0.864380 0.188034i −0.0347705 0.00756385i
\(619\) 10.2446 11.8229i 0.411764 0.475201i −0.511546 0.859256i \(-0.670927\pi\)
0.923310 + 0.384055i \(0.125473\pi\)
\(620\) 2.73651 + 4.15597i 0.109901 + 0.166908i
\(621\) 3.16658 + 3.60177i 0.127070 + 0.144534i
\(622\) −12.5116 12.5116i −0.501670 0.501670i
\(623\) −0.0533482 0.745906i −0.00213735 0.0298841i
\(624\) 2.41743 + 3.76159i 0.0967746 + 0.150584i
\(625\) −15.5171 + 19.6016i −0.620682 + 0.784062i
\(626\) 21.5150 9.82556i 0.859911 0.392708i
\(627\) 11.4664 8.58365i 0.457925 0.342798i
\(628\) −7.42310 4.05332i −0.296214 0.161745i
\(629\) 0.485143 0.754897i 0.0193439 0.0300997i
\(630\) −1.12841 + 0.175042i −0.0449570 + 0.00697385i
\(631\) 0.929400 3.16524i 0.0369988 0.126006i −0.938923 0.344128i \(-0.888175\pi\)
0.975922 + 0.218121i \(0.0699929\pi\)
\(632\) −14.2428 1.01867i −0.566549 0.0405204i
\(633\) 15.7064 + 1.12335i 0.624274 + 0.0446490i
\(634\) 3.73578 12.7229i 0.148367 0.505291i
\(635\) 13.0829 17.8870i 0.519177 0.709823i
\(636\) 1.68114 2.61591i 0.0666616 0.103727i
\(637\) 26.4478 + 14.4416i 1.04790 + 0.572197i
\(638\) 20.5184 15.3599i 0.812333 0.608105i
\(639\) 7.18935 3.28327i 0.284406 0.129884i
\(640\) 2.23200 + 0.134761i 0.0882277 + 0.00532688i
\(641\) 13.2639 + 20.6390i 0.523892 + 0.815192i 0.997862 0.0653486i \(-0.0208160\pi\)
−0.473970 + 0.880541i \(0.657180\pi\)
\(642\) 0.978396 + 13.6798i 0.0386142 + 0.539897i
\(643\) 5.25766 + 5.25766i 0.207342 + 0.207342i 0.803137 0.595795i \(-0.203163\pi\)
−0.595795 + 0.803137i \(0.703163\pi\)
\(644\) 2.06980 + 1.30925i 0.0815614 + 0.0515915i
\(645\) −1.75958 + 1.15860i −0.0692833 + 0.0456199i
\(646\) −3.46669 + 4.00078i −0.136395 + 0.157409i
\(647\) 1.81166 + 0.394103i 0.0712237 + 0.0154938i 0.248036 0.968751i \(-0.420215\pi\)
−0.176812 + 0.984245i \(0.556579\pi\)
\(648\) −0.800541 0.599278i −0.0314482 0.0235419i
\(649\) −13.8457 30.3179i −0.543491 1.19008i
\(650\) −19.0716 11.6668i −0.748048 0.457609i
\(651\) −0.320168 1.09039i −0.0125484 0.0427359i
\(652\) −3.19577 14.6907i −0.125156 0.575332i
\(653\) −10.4772 28.0904i −0.410004 1.09926i −0.963804 0.266613i \(-0.914095\pi\)
0.553799 0.832650i \(-0.313177\pi\)
\(654\) −1.31906 0.387311i −0.0515793 0.0151451i
\(655\) 10.6073 + 2.98713i 0.414460 + 0.116717i
\(656\) 6.26805 + 7.23372i 0.244726 + 0.282429i
\(657\) −1.42877 2.61660i −0.0557417 0.102083i
\(658\) 3.60022 1.34281i 0.140351 0.0523483i
\(659\) −33.1899 21.3299i −1.29290 0.830893i −0.300476 0.953789i \(-0.597145\pi\)
−0.992420 + 0.122896i \(0.960782\pi\)
\(660\) 0.476725 + 5.76563i 0.0185565 + 0.224427i
\(661\) 36.6470 + 5.26905i 1.42540 + 0.204942i 0.811460 0.584407i \(-0.198673\pi\)
0.613944 + 0.789350i \(0.289582\pi\)
\(662\) −1.77199 + 4.75089i −0.0688703 + 0.184648i
\(663\) 2.56234 3.42288i 0.0995130 0.132934i
\(664\) −12.6204 + 8.11061i −0.489765 + 0.314753i
\(665\) −3.84438 5.01843i −0.149079 0.194606i
\(666\) 0.938420i 0.0363630i
\(667\) −16.2825 + 44.6325i −0.630461 + 1.72818i
\(668\) 13.4670 13.4670i 0.521052 0.521052i
\(669\) −8.86843 7.68454i −0.342873 0.297102i
\(670\) −5.58218 + 12.5912i −0.215659 + 0.486440i
\(671\) −1.42080 9.88185i −0.0548492 0.381485i
\(672\) −0.478478 0.178463i −0.0184577 0.00688437i
\(673\) 21.6966 + 28.9832i 0.836341 + 1.11722i 0.991599 + 0.129347i \(0.0412880\pi\)
−0.155259 + 0.987874i \(0.549621\pi\)
\(674\) 32.0329 9.40571i 1.23386 0.362294i
\(675\) 4.90812 + 0.954145i 0.188913 + 0.0367250i
\(676\) 2.90522 6.36155i 0.111739 0.244675i
\(677\) 35.6255 19.4530i 1.36920 0.747639i 0.384702 0.923041i \(-0.374304\pi\)
0.984497 + 0.175402i \(0.0561225\pi\)
\(678\) 1.30462 18.2410i 0.0501037 0.700542i
\(679\) −2.60142 + 2.25414i −0.0998333 + 0.0865061i
\(680\) −0.625129 2.04478i −0.0239726 0.0784137i
\(681\) −12.4826 5.70063i −0.478336 0.218449i
\(682\) −5.62595 + 1.22385i −0.215429 + 0.0468637i
\(683\) −4.53598 + 8.30703i −0.173565 + 0.317860i −0.949952 0.312396i \(-0.898868\pi\)
0.776387 + 0.630256i \(0.217050\pi\)
\(684\) 0.787868 5.47974i 0.0301249 0.209523i
\(685\) 17.8486 4.09066i 0.681960 0.156296i
\(686\) −6.94488 + 0.998522i −0.265157 + 0.0381238i
\(687\) −1.77106 + 8.14145i −0.0675703 + 0.310616i
\(688\) −0.939775 + 0.0672140i −0.0358286 + 0.00256251i
\(689\) −13.9040 −0.529701
\(690\) −6.58244 8.46590i −0.250589 0.322291i
\(691\) −19.2792 −0.733417 −0.366708 0.930336i \(-0.619515\pi\)
−0.366708 + 0.930336i \(0.619515\pi\)
\(692\) 20.9356 1.49734i 0.795851 0.0569204i
\(693\) 0.280853 1.29106i 0.0106687 0.0490434i
\(694\) −30.1968 + 4.34165i −1.14626 + 0.164807i
\(695\) −9.51937 + 15.1802i −0.361090 + 0.575817i
\(696\) 1.40984 9.80565i 0.0534398 0.371682i
\(697\) 4.38640 8.03310i 0.166147 0.304275i
\(698\) 18.0247 3.92104i 0.682246 0.148414i
\(699\) 4.02567 + 1.83846i 0.152265 + 0.0695371i
\(700\) 2.54221 0.238630i 0.0960864 0.00901935i
\(701\) −18.4328 + 15.9721i −0.696196 + 0.603257i −0.929358 0.369181i \(-0.879638\pi\)
0.233161 + 0.972438i \(0.425093\pi\)
\(702\) −0.318987 + 4.46002i −0.0120394 + 0.168333i
\(703\) −4.55969 + 2.48978i −0.171972 + 0.0939039i
\(704\) −1.07479 + 2.35346i −0.0405076 + 0.0886994i
\(705\) −16.8239 + 0.186694i −0.633623 + 0.00703129i
\(706\) 3.68061 1.08072i 0.138522 0.0406736i
\(707\) −4.36825 5.83529i −0.164285 0.219459i
\(708\) −12.0700 4.50188i −0.453619 0.169191i
\(709\) −4.57919 31.8490i −0.171975 1.19611i −0.874705 0.484656i \(-0.838945\pi\)
0.702730 0.711457i \(-0.251964\pi\)
\(710\) −16.4891 + 6.35942i −0.618825 + 0.238665i
\(711\) −10.7915 9.35089i −0.404713 0.350686i
\(712\) −1.03545 + 1.03545i −0.0388053 + 0.0388053i
\(713\) 7.49202 7.60054i 0.280578 0.284642i
\(714\) 0.488326i 0.0182751i
\(715\) 20.5355 15.7312i 0.767984 0.588315i
\(716\) −4.20393 + 2.70170i −0.157108 + 0.100967i
\(717\) −14.9497 + 19.9705i −0.558308 + 0.745812i
\(718\) 4.80589 12.8851i 0.179354 0.480867i
\(719\) −30.0763 4.32432i −1.12166 0.161270i −0.443562 0.896244i \(-0.646285\pi\)
−0.678095 + 0.734974i \(0.737194\pi\)
\(720\) 1.70605 + 1.44547i 0.0635808 + 0.0538695i
\(721\) −0.380030 0.244230i −0.0141530 0.00909561i
\(722\) 10.9138 4.07065i 0.406171 0.151494i
\(723\) −8.40707 15.3964i −0.312662 0.572598i
\(724\) −8.22301 9.48986i −0.305606 0.352688i
\(725\) 15.0061 + 47.2046i 0.557313 + 1.75314i
\(726\) 4.13163 + 1.21316i 0.153339 + 0.0450244i
\(727\) −12.5990 33.7793i −0.467272 1.25280i −0.930411 0.366519i \(-0.880550\pi\)
0.463139 0.886286i \(-0.346723\pi\)
\(728\) 0.485381 + 2.23126i 0.0179894 + 0.0826961i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) 2.83641 + 6.03280i 0.104980 + 0.223284i
\(731\) 0.374264 + 0.819523i 0.0138426 + 0.0303112i
\(732\) −3.08904 2.31243i −0.114174 0.0854698i
\(733\) 49.3396 + 10.7332i 1.82240 + 0.396439i 0.987966 0.154670i \(-0.0494316\pi\)
0.834433 + 0.551109i \(0.185795\pi\)
\(734\) 0.883610 1.01974i 0.0326147 0.0376393i
\(735\) 14.7596 + 3.03963i 0.544416 + 0.112118i
\(736\) −0.716630 4.74199i −0.0264153 0.174792i
\(737\) −11.2687 11.2687i −0.415087 0.415087i
\(738\) 0.682829 + 9.54719i 0.0251353 + 0.351437i
\(739\) 11.0980 + 17.2688i 0.408246 + 0.635243i 0.983112 0.183004i \(-0.0585822\pi\)
−0.574866 + 0.818247i \(0.694946\pi\)
\(740\) 0.126462 2.09456i 0.00464884 0.0769974i
\(741\) −22.5172 + 10.2832i −0.827188 + 0.377764i
\(742\) 1.27123 0.951633i 0.0466684 0.0349355i
\(743\) 2.11168 + 1.15307i 0.0774702 + 0.0423019i 0.517517 0.855673i \(-0.326856\pi\)
−0.440047 + 0.897975i \(0.645038\pi\)
\(744\) −1.20311 + 1.87207i −0.0441080 + 0.0686334i
\(745\) 6.48464 + 41.8033i 0.237579 + 1.53155i
\(746\) 5.54122 18.8717i 0.202878 0.690940i
\(747\) −14.9636 1.07022i −0.547490 0.0391573i
\(748\) 2.46773 + 0.176495i 0.0902290 + 0.00645330i
\(749\) −1.97319 + 6.72007i −0.0720988 + 0.245546i
\(750\) −10.8264 2.79107i −0.395322 0.101916i
\(751\) −17.9335 + 27.9051i −0.654404 + 1.01827i 0.342490 + 0.939521i \(0.388730\pi\)
−0.996894 + 0.0787511i \(0.974907\pi\)
\(752\) −6.60394 3.60602i −0.240821 0.131498i
\(753\) 14.9524 11.1932i 0.544895 0.407903i
\(754\) −40.2931 + 18.4012i −1.46739 + 0.670133i
\(755\) −3.07966 3.47544i −0.112080 0.126484i
\(756\) −0.276093 0.429608i −0.0100414 0.0156247i
\(757\) −0.000540604 0.00755862i −1.96486e−5 0.000274723i 0.997442 0.0714765i \(-0.0227711\pi\)
−0.997462 + 0.0712018i \(0.977317\pi\)
\(758\) 14.7686 + 14.7686i 0.536420 + 0.536420i
\(759\) 11.8800 3.58127i 0.431218 0.129992i
\(760\) −2.49698 + 12.1246i −0.0905748 + 0.439806i
\(761\) 23.5684 27.1994i 0.854354 0.985977i −0.145640 0.989338i \(-0.546524\pi\)
0.999994 + 0.00336050i \(0.00106968\pi\)
\(762\) 9.68416 + 2.10666i 0.350820 + 0.0763162i
\(763\) −0.562021 0.420724i −0.0203465 0.0152312i
\(764\) 5.57461 + 12.2067i 0.201682 + 0.441623i
\(765\) 0.724949 2.01156i 0.0262106 0.0727279i
\(766\) −5.15936 17.5712i −0.186415 0.634872i
\(767\) 12.2442 + 56.2855i 0.442111 + 2.03235i
\(768\) 0.349464 + 0.936950i 0.0126102 + 0.0338093i
\(769\) 50.4681 + 14.8188i 1.81993 + 0.534379i 0.999312 0.0371009i \(-0.0118123\pi\)
0.820616 + 0.571480i \(0.193630\pi\)
\(770\) −0.800850 + 2.84381i −0.0288606 + 0.102484i
\(771\) 14.1720 + 16.3553i 0.510391 + 0.589023i
\(772\) −2.30785 4.22652i −0.0830614 0.152116i
\(773\) −4.13131 + 1.54090i −0.148593 +