Properties

Label 690.2.q.a.191.3
Level $690$
Weight $2$
Character 690.191
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 191.3
Character \(\chi\) \(=\) 690.191
Dual form 690.2.q.a.401.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.755750 - 0.654861i) q^{2} +(-0.906618 + 1.47582i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(1.65163 - 0.521642i) q^{6} +(-0.302591 - 1.03053i) q^{7} +(0.540641 - 0.841254i) q^{8} +(-1.35609 - 2.67601i) q^{9} +O(q^{10})\) \(q+(-0.755750 - 0.654861i) q^{2} +(-0.906618 + 1.47582i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(1.65163 - 0.521642i) q^{6} +(-0.302591 - 1.03053i) q^{7} +(0.540641 - 0.841254i) q^{8} +(-1.35609 - 2.67601i) q^{9} +(0.281733 - 0.959493i) q^{10} +(-1.53145 - 1.76739i) q^{11} +(-1.58982 - 0.687359i) q^{12} +(-0.0134436 - 0.00394741i) q^{13} +(-0.446170 + 0.976977i) q^{14} +(-1.71908 - 0.211611i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.929456 - 6.46451i) q^{17} +(-0.727550 + 2.91044i) q^{18} +(4.39590 - 0.632035i) q^{19} +(-0.841254 + 0.540641i) q^{20} +(1.79521 + 0.487727i) q^{21} +2.33859i q^{22} +(-4.70867 - 0.910179i) q^{23} +(0.751384 + 1.56058i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(0.00757502 + 0.0117870i) q^{26} +(5.17876 + 0.424774i) q^{27} +(0.976977 - 0.446170i) q^{28} +(-1.21072 - 0.174075i) q^{29} +(1.16062 + 1.28568i) q^{30} +(7.53581 + 4.84297i) q^{31} +(0.909632 + 0.415415i) q^{32} +(3.99679 - 0.657801i) q^{33} +(-4.93579 + 4.27688i) q^{34} +(0.811701 - 0.703343i) q^{35} +(2.45578 - 1.72312i) q^{36} +(-5.17188 - 2.36192i) q^{37} +(-3.73610 - 2.40104i) q^{38} +(0.0180139 - 0.0162616i) q^{39} +(0.989821 + 0.142315i) q^{40} +(10.5420 - 4.81437i) q^{41} +(-1.03734 - 1.54421i) q^{42} +(4.90256 + 7.62854i) q^{43} +(1.53145 - 1.76739i) q^{44} +(1.87084 - 2.34520i) q^{45} +(2.96254 + 3.77139i) q^{46} -8.17538i q^{47} +(0.454107 - 1.67146i) q^{48} +(4.91835 - 3.16083i) q^{49} +(0.989821 - 0.142315i) q^{50} +(8.69779 + 7.23255i) q^{51} +(0.00199400 - 0.0138686i) q^{52} +(-2.01187 + 0.590738i) q^{53} +(-3.63568 - 3.71239i) q^{54} +(0.971487 - 2.12726i) q^{55} +(-1.03053 - 0.302591i) q^{56} +(-3.05263 + 7.06057i) q^{57} +(0.801006 + 0.924411i) q^{58} +(0.995592 - 3.39068i) q^{59} +(-0.0351932 - 1.73169i) q^{60} +(5.07022 - 7.88942i) q^{61} +(-2.52371 - 8.59497i) q^{62} +(-2.34736 + 2.20722i) q^{63} +(-0.415415 - 0.909632i) q^{64} +(-0.00199400 - 0.0138686i) q^{65} +(-3.45134 - 2.12021i) q^{66} +(-0.926160 - 0.802522i) q^{67} +6.53098 q^{68} +(5.61222 - 6.12397i) q^{69} -1.07403 q^{70} +(-5.50372 - 4.76900i) q^{71} +(-2.98436 - 0.305945i) q^{72} +(-2.10508 - 14.6412i) q^{73} +(2.36192 + 5.17188i) q^{74} +(-0.521642 - 1.65163i) q^{75} +(1.25120 + 4.26121i) q^{76} +(-1.35794 + 2.11300i) q^{77} +(-0.0242631 + 0.000493098i) q^{78} +(0.0735815 - 0.250596i) q^{79} +(-0.654861 - 0.755750i) q^{80} +(-5.32205 + 7.25781i) q^{81} +(-11.1199 - 3.26509i) q^{82} +(-4.63306 + 10.1450i) q^{83} +(-0.227277 + 1.84635i) q^{84} +(6.26643 - 1.83999i) q^{85} +(1.29052 - 8.97576i) q^{86} +(1.35456 - 1.62899i) q^{87} +(-2.31479 + 0.332817i) q^{88} +(-1.80462 + 1.15976i) q^{89} +(-2.94967 + 0.547239i) q^{90} +0.0150485i q^{91} +(0.230801 - 4.79027i) q^{92} +(-13.9794 + 6.73077i) q^{93} +(-5.35373 + 6.17854i) q^{94} +(2.40104 + 3.73610i) q^{95} +(-1.43777 + 0.965830i) q^{96} +(-6.66361 + 3.04317i) q^{97} +(-5.78694 - 0.832036i) q^{98} +(-2.65277 + 6.49492i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.755750 0.654861i −0.534396 0.463056i
\(3\) −0.906618 + 1.47582i −0.523436 + 0.852065i
\(4\) 0.142315 + 0.989821i 0.0711574 + 0.494911i
\(5\) 0.415415 + 0.909632i 0.185779 + 0.406800i
\(6\) 1.65163 0.521642i 0.674276 0.212959i
\(7\) −0.302591 1.03053i −0.114369 0.389503i 0.882336 0.470620i \(-0.155970\pi\)
−0.996705 + 0.0811164i \(0.974151\pi\)
\(8\) 0.540641 0.841254i 0.191145 0.297428i
\(9\) −1.35609 2.67601i −0.452030 0.892003i
\(10\) 0.281733 0.959493i 0.0890917 0.303418i
\(11\) −1.53145 1.76739i −0.461751 0.532889i 0.476348 0.879257i \(-0.341960\pi\)
−0.938099 + 0.346368i \(0.887415\pi\)
\(12\) −1.58982 0.687359i −0.458942 0.198423i
\(13\) −0.0134436 0.00394741i −0.00372859 0.00109481i 0.279868 0.960039i \(-0.409709\pi\)
−0.283596 + 0.958944i \(0.591528\pi\)
\(14\) −0.446170 + 0.976977i −0.119244 + 0.261108i
\(15\) −1.71908 0.211611i −0.443863 0.0546376i
\(16\) −0.959493 + 0.281733i −0.239873 + 0.0704331i
\(17\) 0.929456 6.46451i 0.225426 1.56787i −0.491596 0.870823i \(-0.663586\pi\)
0.717022 0.697050i \(-0.245504\pi\)
\(18\) −0.727550 + 2.91044i −0.171485 + 0.685998i
\(19\) 4.39590 0.632035i 1.00849 0.144999i 0.381781 0.924253i \(-0.375311\pi\)
0.626708 + 0.779254i \(0.284402\pi\)
\(20\) −0.841254 + 0.540641i −0.188110 + 0.120891i
\(21\) 1.79521 + 0.487727i 0.391747 + 0.106431i
\(22\) 2.33859i 0.498590i
\(23\) −4.70867 0.910179i −0.981826 0.189785i
\(24\) 0.751384 + 1.56058i 0.153376 + 0.318553i
\(25\) −0.654861 + 0.755750i −0.130972 + 0.151150i
\(26\) 0.00757502 + 0.0117870i 0.00148558 + 0.00231161i
\(27\) 5.17876 + 0.424774i 0.996653 + 0.0817478i
\(28\) 0.976977 0.446170i 0.184631 0.0843183i
\(29\) −1.21072 0.174075i −0.224825 0.0323250i 0.0289815 0.999580i \(-0.490774\pi\)
−0.253807 + 0.967255i \(0.581683\pi\)
\(30\) 1.16062 + 1.28568i 0.211898 + 0.234732i
\(31\) 7.53581 + 4.84297i 1.35347 + 0.869823i 0.997897 0.0648254i \(-0.0206490\pi\)
0.355574 + 0.934648i \(0.384285\pi\)
\(32\) 0.909632 + 0.415415i 0.160802 + 0.0734357i
\(33\) 3.99679 0.657801i 0.695753 0.114508i
\(34\) −4.93579 + 4.27688i −0.846481 + 0.733480i
\(35\) 0.811701 0.703343i 0.137203 0.118887i
\(36\) 2.45578 1.72312i 0.409297 0.287187i
\(37\) −5.17188 2.36192i −0.850253 0.388297i −0.0578717 0.998324i \(-0.518431\pi\)
−0.792381 + 0.610027i \(0.791159\pi\)
\(38\) −3.73610 2.40104i −0.606075 0.389501i
\(39\) 0.0180139 0.0162616i 0.00288453 0.00260394i
\(40\) 0.989821 + 0.142315i 0.156505 + 0.0225020i
\(41\) 10.5420 4.81437i 1.64638 0.751879i 0.646446 0.762960i \(-0.276255\pi\)
0.999939 + 0.0110812i \(0.00352733\pi\)
\(42\) −1.03734 1.54421i −0.160064 0.238277i
\(43\) 4.90256 + 7.62854i 0.747634 + 1.16334i 0.981573 + 0.191090i \(0.0612022\pi\)
−0.233939 + 0.972251i \(0.575161\pi\)
\(44\) 1.53145 1.76739i 0.230875 0.266444i
\(45\) 1.87084 2.34520i 0.278889 0.349601i
\(46\) 2.96254 + 3.77139i 0.436802 + 0.556061i
\(47\) 8.17538i 1.19250i −0.802798 0.596251i \(-0.796656\pi\)
0.802798 0.596251i \(-0.203344\pi\)
\(48\) 0.454107 1.67146i 0.0655447 0.241255i
\(49\) 4.91835 3.16083i 0.702621 0.451547i
\(50\) 0.989821 0.142315i 0.139982 0.0201264i
\(51\) 8.69779 + 7.23255i 1.21793 + 1.01276i
\(52\) 0.00199400 0.0138686i 0.000276518 0.00192322i
\(53\) −2.01187 + 0.590738i −0.276351 + 0.0811441i −0.416972 0.908920i \(-0.636909\pi\)
0.140620 + 0.990064i \(0.455090\pi\)
\(54\) −3.63568 3.71239i −0.494753 0.505192i
\(55\) 0.971487 2.12726i 0.130995 0.286840i
\(56\) −1.03053 0.302591i −0.137710 0.0404354i
\(57\) −3.05263 + 7.06057i −0.404331 + 0.935196i
\(58\) 0.801006 + 0.924411i 0.105177 + 0.121381i
\(59\) 0.995592 3.39068i 0.129615 0.441428i −0.868955 0.494892i \(-0.835208\pi\)
0.998570 + 0.0534631i \(0.0170260\pi\)
\(60\) −0.0351932 1.73169i −0.00454342 0.223561i
\(61\) 5.07022 7.88942i 0.649175 1.01014i −0.348178 0.937428i \(-0.613200\pi\)
0.997353 0.0727078i \(-0.0231640\pi\)
\(62\) −2.52371 8.59497i −0.320512 1.09156i
\(63\) −2.34736 + 2.20722i −0.295740 + 0.278084i
\(64\) −0.415415 0.909632i −0.0519269 0.113704i
\(65\) −0.00199400 0.0138686i −0.000247325 0.00172018i
\(66\) −3.45134 2.12021i −0.424831 0.260980i
\(67\) −0.926160 0.802522i −0.113148 0.0980437i 0.596449 0.802651i \(-0.296578\pi\)
−0.709598 + 0.704607i \(0.751123\pi\)
\(68\) 6.53098 0.791998
\(69\) 5.61222 6.12397i 0.675632 0.737239i
\(70\) −1.07403 −0.128372
\(71\) −5.50372 4.76900i −0.653172 0.565977i 0.263973 0.964530i \(-0.414967\pi\)
−0.917145 + 0.398553i \(0.869512\pi\)
\(72\) −2.98436 0.305945i −0.351710 0.0360560i
\(73\) −2.10508 14.6412i −0.246381 1.71362i −0.618796 0.785552i \(-0.712379\pi\)
0.372415 0.928066i \(-0.378530\pi\)
\(74\) 2.36192 + 5.17188i 0.274568 + 0.601219i
\(75\) −0.521642 1.65163i −0.0602340 0.190714i
\(76\) 1.25120 + 4.26121i 0.143523 + 0.488794i
\(77\) −1.35794 + 2.11300i −0.154752 + 0.240799i
\(78\) −0.0242631 0.000493098i −0.00274725 5.58324e-5i
\(79\) 0.0735815 0.250596i 0.00827856 0.0281942i −0.955250 0.295799i \(-0.904414\pi\)
0.963529 + 0.267605i \(0.0862322\pi\)
\(80\) −0.654861 0.755750i −0.0732157 0.0844954i
\(81\) −5.32205 + 7.25781i −0.591338 + 0.806423i
\(82\) −11.1199 3.26509i −1.22798 0.360568i
\(83\) −4.63306 + 10.1450i −0.508545 + 1.11356i 0.465052 + 0.885283i \(0.346036\pi\)
−0.973597 + 0.228274i \(0.926692\pi\)
\(84\) −0.227277 + 1.84635i −0.0247980 + 0.201453i
\(85\) 6.26643 1.83999i 0.679690 0.199575i
\(86\) 1.29052 8.97576i 0.139160 0.967881i
\(87\) 1.35456 1.62899i 0.145225 0.174646i
\(88\) −2.31479 + 0.332817i −0.246757 + 0.0354784i
\(89\) −1.80462 + 1.15976i −0.191289 + 0.122934i −0.632780 0.774332i \(-0.718086\pi\)
0.441491 + 0.897266i \(0.354450\pi\)
\(90\) −2.94967 + 0.547239i −0.310922 + 0.0576840i
\(91\) 0.0150485i 0.00157751i
\(92\) 0.230801 4.79027i 0.0240626 0.499421i
\(93\) −13.9794 + 6.73077i −1.44960 + 0.697948i
\(94\) −5.35373 + 6.17854i −0.552196 + 0.637268i
\(95\) 2.40104 + 3.73610i 0.246342 + 0.383315i
\(96\) −1.43777 + 0.965830i −0.146741 + 0.0985747i
\(97\) −6.66361 + 3.04317i −0.676587 + 0.308987i −0.723912 0.689893i \(-0.757658\pi\)
0.0473247 + 0.998880i \(0.484930\pi\)
\(98\) −5.78694 0.832036i −0.584569 0.0840484i
\(99\) −2.65277 + 6.49492i −0.266613 + 0.652764i
\(100\) −0.841254 0.540641i −0.0841254 0.0540641i
\(101\) 0.905175 + 0.413380i 0.0900683 + 0.0411328i 0.459940 0.887950i \(-0.347871\pi\)
−0.369871 + 0.929083i \(0.620598\pi\)
\(102\) −1.83704 11.1618i −0.181894 1.10519i
\(103\) −1.32813 + 1.15084i −0.130865 + 0.113395i −0.717834 0.696214i \(-0.754866\pi\)
0.586969 + 0.809609i \(0.300321\pi\)
\(104\) −0.0105889 + 0.00917538i −0.00103833 + 0.000899720i
\(105\) 0.302105 + 1.83559i 0.0294825 + 0.179135i
\(106\) 1.90732 + 0.871043i 0.185255 + 0.0846032i
\(107\) −1.64647 1.05812i −0.159170 0.102292i 0.458631 0.888627i \(-0.348340\pi\)
−0.617801 + 0.786334i \(0.711976\pi\)
\(108\) 0.316564 + 5.18650i 0.0304614 + 0.499071i
\(109\) 14.8069 + 2.12891i 1.41824 + 0.203913i 0.808411 0.588618i \(-0.200328\pi\)
0.609832 + 0.792531i \(0.291237\pi\)
\(110\) −2.12726 + 0.971487i −0.202826 + 0.0926276i
\(111\) 8.17469 5.49141i 0.775907 0.521222i
\(112\) 0.580667 + 0.903536i 0.0548679 + 0.0853761i
\(113\) 2.73528 3.15668i 0.257314 0.296956i −0.612364 0.790576i \(-0.709781\pi\)
0.869678 + 0.493620i \(0.164327\pi\)
\(114\) 6.93072 3.33698i 0.649121 0.312536i
\(115\) −1.12812 4.66126i −0.105198 0.434665i
\(116\) 1.22317i 0.113569i
\(117\) 0.00766747 + 0.0413283i 0.000708858 + 0.00382080i
\(118\) −2.97284 + 1.91053i −0.273672 + 0.175878i
\(119\) −6.94311 + 0.998268i −0.636474 + 0.0915111i
\(120\) −1.10742 + 1.33177i −0.101093 + 0.121574i
\(121\) 0.787140 5.47468i 0.0715582 0.497698i
\(122\) −8.99828 + 2.64213i −0.814666 + 0.239208i
\(123\) −2.45242 + 19.9229i −0.221127 + 1.79639i
\(124\) −3.72122 + 8.14833i −0.334175 + 0.731741i
\(125\) −0.959493 0.281733i −0.0858197 0.0251989i
\(126\) 3.21944 0.130912i 0.286811 0.0116625i
\(127\) 2.33453 + 2.69419i 0.207156 + 0.239071i 0.849814 0.527082i \(-0.176714\pi\)
−0.642658 + 0.766153i \(0.722168\pi\)
\(128\) −0.281733 + 0.959493i −0.0249019 + 0.0848080i
\(129\) −15.7031 + 0.319134i −1.38258 + 0.0280982i
\(130\) −0.00757502 + 0.0117870i −0.000664373 + 0.00103378i
\(131\) 5.46677 + 18.6181i 0.477634 + 1.62667i 0.747847 + 0.663872i \(0.231088\pi\)
−0.270212 + 0.962801i \(0.587094\pi\)
\(132\) 1.21991 + 3.86250i 0.106179 + 0.336187i
\(133\) −1.98149 4.33886i −0.171817 0.376226i
\(134\) 0.174405 + 1.21301i 0.0150663 + 0.104788i
\(135\) 1.76495 + 4.88722i 0.151902 + 0.420625i
\(136\) −4.93579 4.27688i −0.423240 0.366740i
\(137\) 14.3369 1.22488 0.612441 0.790516i \(-0.290188\pi\)
0.612441 + 0.790516i \(0.290188\pi\)
\(138\) −8.25178 + 0.952959i −0.702438 + 0.0811213i
\(139\) −11.1016 −0.941629 −0.470814 0.882232i \(-0.656040\pi\)
−0.470814 + 0.882232i \(0.656040\pi\)
\(140\) 0.811701 + 0.703343i 0.0686013 + 0.0594434i
\(141\) 12.0654 + 7.41194i 1.01609 + 0.624198i
\(142\) 1.03640 + 7.20834i 0.0869731 + 0.604911i
\(143\) 0.0136117 + 0.0298054i 0.00113827 + 0.00249246i
\(144\) 2.05508 + 2.18556i 0.171256 + 0.182130i
\(145\) −0.344607 1.17362i −0.0286181 0.0974641i
\(146\) −7.99701 + 12.4436i −0.661837 + 1.02984i
\(147\) 0.205755 + 10.1243i 0.0169704 + 0.835035i
\(148\) 1.60184 5.45538i 0.131671 0.448429i
\(149\) −12.1063 13.9714i −0.991785 1.14458i −0.989493 0.144583i \(-0.953816\pi\)
−0.00229234 0.999997i \(-0.500730\pi\)
\(150\) −0.687359 + 1.58982i −0.0561226 + 0.129809i
\(151\) −4.87363 1.43103i −0.396610 0.116455i 0.0773447 0.997004i \(-0.475356\pi\)
−0.473955 + 0.880549i \(0.657174\pi\)
\(152\) 1.84490 4.03977i 0.149641 0.327669i
\(153\) −18.5595 + 6.27921i −1.50045 + 0.507644i
\(154\) 2.40999 0.707637i 0.194202 0.0570230i
\(155\) −1.27483 + 8.86665i −0.102397 + 0.712187i
\(156\) 0.0186597 + 0.0155163i 0.00149397 + 0.00124230i
\(157\) −16.6185 + 2.38938i −1.32630 + 0.190693i −0.768802 0.639487i \(-0.779147\pi\)
−0.557496 + 0.830180i \(0.688238\pi\)
\(158\) −0.219714 + 0.141202i −0.0174795 + 0.0112334i
\(159\) 0.952172 3.50473i 0.0755122 0.277943i
\(160\) 1.00000i 0.0790569i
\(161\) 0.486834 + 5.12783i 0.0383679 + 0.404130i
\(162\) 8.77499 1.99989i 0.689428 0.157126i
\(163\) 13.5246 15.6082i 1.05933 1.22253i 0.0852372 0.996361i \(-0.472835\pi\)
0.974089 0.226166i \(-0.0726193\pi\)
\(164\) 6.26565 + 9.74955i 0.489265 + 0.761312i
\(165\) 2.25869 + 3.36235i 0.175838 + 0.261759i
\(166\) 10.1450 4.63306i 0.787404 0.359595i
\(167\) 4.92851 + 0.708613i 0.381380 + 0.0548341i 0.330339 0.943862i \(-0.392837\pi\)
0.0510409 + 0.998697i \(0.483746\pi\)
\(168\) 1.38087 1.24654i 0.106536 0.0961727i
\(169\) −10.9361 7.02822i −0.841241 0.540633i
\(170\) −5.94079 2.71307i −0.455638 0.208083i
\(171\) −7.65256 10.9064i −0.585206 0.834031i
\(172\) −6.85318 + 5.93832i −0.522550 + 0.452792i
\(173\) 15.2915 13.2502i 1.16259 1.00739i 0.162806 0.986658i \(-0.447946\pi\)
0.999785 0.0207324i \(-0.00659980\pi\)
\(174\) −2.09047 + 0.344054i −0.158478 + 0.0260827i
\(175\) 0.976977 + 0.446170i 0.0738525 + 0.0337273i
\(176\) 1.96735 + 1.26434i 0.148295 + 0.0953032i
\(177\) 4.10141 + 4.54336i 0.308281 + 0.341500i
\(178\) 2.12332 + 0.305287i 0.159150 + 0.0228823i
\(179\) −7.48533 + 3.41844i −0.559480 + 0.255506i −0.675023 0.737796i \(-0.735866\pi\)
0.115543 + 0.993302i \(0.463139\pi\)
\(180\) 2.58757 + 1.51804i 0.192866 + 0.113148i
\(181\) 6.70480 + 10.4329i 0.498364 + 0.775469i 0.995754 0.0920579i \(-0.0293445\pi\)
−0.497390 + 0.867527i \(0.665708\pi\)
\(182\) 0.00985467 0.0113729i 0.000730477 0.000843015i
\(183\) 7.04661 + 14.6354i 0.520900 + 1.08188i
\(184\) −3.31139 + 3.46911i −0.244119 + 0.255746i
\(185\) 5.68569i 0.418020i
\(186\) 14.9727 + 4.06781i 1.09785 + 0.298266i
\(187\) −12.8487 + 8.25738i −0.939592 + 0.603839i
\(188\) 8.09216 1.16348i 0.590182 0.0848553i
\(189\) −1.12930 5.46540i −0.0821447 0.397549i
\(190\) 0.632035 4.39590i 0.0458526 0.318912i
\(191\) −4.84068 + 1.42135i −0.350259 + 0.102845i −0.452130 0.891952i \(-0.649336\pi\)
0.101870 + 0.994798i \(0.467517\pi\)
\(192\) 1.71908 + 0.211611i 0.124064 + 0.0152717i
\(193\) 4.62777 10.1334i 0.333114 0.729418i −0.666760 0.745272i \(-0.732319\pi\)
0.999874 + 0.0158541i \(0.00504672\pi\)
\(194\) 7.02887 + 2.06386i 0.504644 + 0.148177i
\(195\) 0.0222753 + 0.00963071i 0.00159517 + 0.000689669i
\(196\) 3.82861 + 4.41845i 0.273472 + 0.315604i
\(197\) −4.48824 + 15.2856i −0.319774 + 1.08905i 0.630125 + 0.776494i \(0.283004\pi\)
−0.949899 + 0.312557i \(0.898815\pi\)
\(198\) 6.25810 3.17134i 0.444744 0.225377i
\(199\) −9.33556 + 14.5264i −0.661780 + 1.02975i 0.334400 + 0.942431i \(0.391466\pi\)
−0.996180 + 0.0873191i \(0.972170\pi\)
\(200\) 0.281733 + 0.959493i 0.0199215 + 0.0678464i
\(201\) 2.02405 0.639265i 0.142766 0.0450902i
\(202\) −0.413380 0.905175i −0.0290853 0.0636879i
\(203\) 0.186963 + 1.30036i 0.0131222 + 0.0912671i
\(204\) −5.92110 + 9.63856i −0.414560 + 0.674834i
\(205\) 8.75861 + 7.58938i 0.611728 + 0.530065i
\(206\) 1.75737 0.122442
\(207\) 3.94973 + 13.8347i 0.274525 + 0.961580i
\(208\) 0.0140112 0.000971501
\(209\) −7.84917 6.80134i −0.542938 0.470459i
\(210\) 0.973739 1.58508i 0.0671944 0.109381i
\(211\) −0.342732 2.38375i −0.0235946 0.164104i 0.974617 0.223877i \(-0.0718714\pi\)
−0.998212 + 0.0597729i \(0.980962\pi\)
\(212\) −0.871043 1.90732i −0.0598235 0.130995i
\(213\) 12.0280 3.79884i 0.824142 0.260292i
\(214\) 0.551395 + 1.87788i 0.0376926 + 0.128369i
\(215\) −4.90256 + 7.62854i −0.334352 + 0.520262i
\(216\) 3.15719 4.12700i 0.214820 0.280807i
\(217\) 2.71056 9.23130i 0.184004 0.626662i
\(218\) −9.79616 11.3054i −0.663480 0.765697i
\(219\) 23.5162 + 10.1672i 1.58908 + 0.687037i
\(220\) 2.24386 + 0.658858i 0.151281 + 0.0444202i
\(221\) −0.0380133 + 0.0832375i −0.00255705 + 0.00559916i
\(222\) −9.77413 1.20315i −0.655997 0.0807503i
\(223\) −17.3525 + 5.09514i −1.16201 + 0.341196i −0.805212 0.592987i \(-0.797949\pi\)
−0.356794 + 0.934183i \(0.616130\pi\)
\(224\) 0.152851 1.06310i 0.0102128 0.0710315i
\(225\) 2.91044 + 0.727550i 0.194029 + 0.0485033i
\(226\) −4.13438 + 0.594434i −0.275015 + 0.0395411i
\(227\) −5.28847 + 3.39869i −0.351008 + 0.225579i −0.704249 0.709953i \(-0.748716\pi\)
0.353241 + 0.935532i \(0.385080\pi\)
\(228\) −7.42314 2.01674i −0.491609 0.133562i
\(229\) 16.6331i 1.09915i −0.835445 0.549574i \(-0.814790\pi\)
0.835445 0.549574i \(-0.185210\pi\)
\(230\) −2.19990 + 4.26151i −0.145057 + 0.280996i
\(231\) −1.88728 3.91977i −0.124174 0.257902i
\(232\) −0.801006 + 0.924411i −0.0525886 + 0.0606905i
\(233\) −10.0794 15.6839i −0.660325 1.02749i −0.996327 0.0856252i \(-0.972711\pi\)
0.336002 0.941861i \(-0.390925\pi\)
\(234\) 0.0212696 0.0362550i 0.00139044 0.00237006i
\(235\) 7.43659 3.39617i 0.485109 0.221542i
\(236\) 3.49785 + 0.502915i 0.227691 + 0.0327370i
\(237\) 0.303124 + 0.335787i 0.0196900 + 0.0218117i
\(238\) 5.90098 + 3.79233i 0.382504 + 0.245820i
\(239\) −0.879495 0.401652i −0.0568898 0.0259807i 0.386767 0.922177i \(-0.373592\pi\)
−0.443657 + 0.896197i \(0.646319\pi\)
\(240\) 1.70906 0.281281i 0.110319 0.0181566i
\(241\) −19.2792 + 16.7056i −1.24188 + 1.07610i −0.247653 + 0.968849i \(0.579659\pi\)
−0.994232 + 0.107250i \(0.965795\pi\)
\(242\) −4.18003 + 3.62202i −0.268703 + 0.232832i
\(243\) −5.88616 14.4344i −0.377597 0.925970i
\(244\) 8.53068 + 3.89583i 0.546121 + 0.249405i
\(245\) 4.91835 + 3.16083i 0.314222 + 0.201938i
\(246\) 14.9001 13.4507i 0.949998 0.857587i
\(247\) −0.0615918 0.00885556i −0.00391899 0.000563466i
\(248\) 8.14833 3.72122i 0.517419 0.236298i
\(249\) −10.7718 16.0352i −0.682633 1.01619i
\(250\) 0.540641 + 0.841254i 0.0341931 + 0.0532055i
\(251\) 13.3873 15.4497i 0.844998 0.975179i −0.154921 0.987927i \(-0.549512\pi\)
0.999919 + 0.0127475i \(0.00405778\pi\)
\(252\) −2.51882 2.00935i −0.158671 0.126577i
\(253\) 5.60247 + 9.71596i 0.352224 + 0.610837i
\(254\) 3.56493i 0.223684i
\(255\) −2.96576 + 10.9163i −0.185723 + 0.683605i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −2.68018 + 0.385352i −0.167185 + 0.0240376i −0.225399 0.974267i \(-0.572369\pi\)
0.0582139 + 0.998304i \(0.481459\pi\)
\(258\) 12.0766 + 10.0422i 0.751856 + 0.625197i
\(259\) −0.869064 + 6.04447i −0.0540010 + 0.375585i
\(260\) 0.0134436 0.00394741i 0.000833739 0.000244808i
\(261\) 1.17602 + 3.47596i 0.0727937 + 0.215157i
\(262\) 8.06076 17.6506i 0.497996 1.09046i
\(263\) −14.4797 4.25162i −0.892856 0.262166i −0.197048 0.980394i \(-0.563135\pi\)
−0.695808 + 0.718228i \(0.744954\pi\)
\(264\) 1.60745 3.71795i 0.0989319 0.228824i
\(265\) −1.37311 1.58466i −0.0843497 0.0973448i
\(266\) −1.34384 + 4.57669i −0.0823959 + 0.280615i
\(267\) −0.0754949 3.71475i −0.00462021 0.227339i
\(268\) 0.662547 1.03094i 0.0404715 0.0629749i
\(269\) 6.59711 + 22.4677i 0.402233 + 1.36988i 0.873042 + 0.487645i \(0.162144\pi\)
−0.470809 + 0.882235i \(0.656038\pi\)
\(270\) 1.86659 4.84931i 0.113597 0.295120i
\(271\) 5.11226 + 11.1943i 0.310548 + 0.680005i 0.998973 0.0453020i \(-0.0144250\pi\)
−0.688425 + 0.725307i \(0.741698\pi\)
\(272\) 0.929456 + 6.46451i 0.0563565 + 0.391968i
\(273\) −0.0222089 0.0136432i −0.00134414 0.000825726i
\(274\) −10.8351 9.38865i −0.654571 0.567189i
\(275\) 2.33859 0.141023
\(276\) 6.86033 + 4.68357i 0.412944 + 0.281918i
\(277\) −15.1327 −0.909236 −0.454618 0.890687i \(-0.650224\pi\)
−0.454618 + 0.890687i \(0.650224\pi\)
\(278\) 8.39006 + 7.27003i 0.503202 + 0.436027i
\(279\) 2.74060 26.7334i 0.164076 1.60049i
\(280\) −0.152851 1.06310i −0.00913460 0.0635325i
\(281\) −1.07909 2.36287i −0.0643730 0.140957i 0.874711 0.484645i \(-0.161051\pi\)
−0.939084 + 0.343688i \(0.888324\pi\)
\(282\) −4.26462 13.5027i −0.253954 0.804075i
\(283\) −2.94783 10.0394i −0.175230 0.596779i −0.999531 0.0306268i \(-0.990250\pi\)
0.824301 0.566152i \(-0.191569\pi\)
\(284\) 3.93720 6.12640i 0.233630 0.363535i
\(285\) −7.69063 + 0.156297i −0.455554 + 0.00925821i
\(286\) 0.00923138 0.0314392i 0.000545863 0.00185904i
\(287\) −8.15126 9.40706i −0.481154 0.555281i
\(288\) −0.121888 2.99752i −0.00718229 0.176631i
\(289\) −24.6146 7.22749i −1.44792 0.425147i
\(290\) −0.508123 + 1.11264i −0.0298380 + 0.0653362i
\(291\) 1.55018 12.5933i 0.0908730 0.738231i
\(292\) 14.1926 4.16731i 0.830556 0.243873i
\(293\) 0.402333 2.79829i 0.0235045 0.163478i −0.974688 0.223568i \(-0.928230\pi\)
0.998193 + 0.0600900i \(0.0191388\pi\)
\(294\) 6.47448 7.78614i 0.377599 0.454097i
\(295\) 3.49785 0.502915i 0.203653 0.0292809i
\(296\) −4.78311 + 3.07392i −0.278012 + 0.178668i
\(297\) −7.18029 9.80342i −0.416643 0.568852i
\(298\) 18.4868i 1.07091i
\(299\) 0.0597088 + 0.0308231i 0.00345305 + 0.00178255i
\(300\) 1.56058 0.751384i 0.0901003 0.0433812i
\(301\) 6.37796 7.36056i 0.367620 0.424256i
\(302\) 2.74612 + 4.27304i 0.158021 + 0.245886i
\(303\) −1.43072 + 0.961098i −0.0821928 + 0.0552137i
\(304\) −4.03977 + 1.84490i −0.231697 + 0.105812i
\(305\) 9.28271 + 1.33465i 0.531526 + 0.0764220i
\(306\) 18.1383 + 7.40838i 1.03690 + 0.423509i
\(307\) 18.2589 + 11.7343i 1.04209 + 0.669712i 0.945503 0.325612i \(-0.105570\pi\)
0.0965893 + 0.995324i \(0.469207\pi\)
\(308\) −2.28475 1.04341i −0.130186 0.0594539i
\(309\) −0.494315 3.00346i −0.0281206 0.170861i
\(310\) 6.76988 5.86613i 0.384503 0.333174i
\(311\) −2.51844 + 2.18224i −0.142808 + 0.123744i −0.723335 0.690497i \(-0.757392\pi\)
0.580527 + 0.814241i \(0.302846\pi\)
\(312\) −0.00394107 0.0239459i −0.000223119 0.00135567i
\(313\) 7.98020 + 3.64444i 0.451068 + 0.205996i 0.627978 0.778231i \(-0.283883\pi\)
−0.176910 + 0.984227i \(0.556610\pi\)
\(314\) 14.1241 + 9.07701i 0.797070 + 0.512245i
\(315\) −2.98289 1.21832i −0.168067 0.0686448i
\(316\) 0.258517 + 0.0371691i 0.0145427 + 0.00209092i
\(317\) −1.53016 + 0.698799i −0.0859421 + 0.0392485i −0.457922 0.888992i \(-0.651406\pi\)
0.371980 + 0.928241i \(0.378679\pi\)
\(318\) −3.01471 + 2.02516i −0.169057 + 0.113565i
\(319\) 1.54650 + 2.40641i 0.0865875 + 0.134733i
\(320\) 0.654861 0.755750i 0.0366078 0.0422477i
\(321\) 3.05431 1.47058i 0.170475 0.0820797i
\(322\) 2.99009 4.19417i 0.166631 0.233732i
\(323\) 29.0048i 1.61387i
\(324\) −7.94134 4.23498i −0.441186 0.235277i
\(325\) 0.0117870 0.00757502i 0.000653823 0.000420186i
\(326\) −20.4424 + 2.93917i −1.13220 + 0.162786i
\(327\) −16.5661 + 19.9222i −0.916106 + 1.10170i
\(328\) 1.64933 11.4713i 0.0910690 0.633399i
\(329\) −8.42496 + 2.47379i −0.464483 + 0.136385i
\(330\) 0.494871 4.02022i 0.0272418 0.221306i
\(331\) 14.7876 32.3803i 0.812799 1.77978i 0.217921 0.975966i \(-0.430072\pi\)
0.594878 0.803816i \(-0.297200\pi\)
\(332\) −10.7011 3.14212i −0.587298 0.172446i
\(333\) 0.693015 + 17.0430i 0.0379770 + 0.933950i
\(334\) −3.26068 3.76302i −0.178416 0.205903i
\(335\) 0.345259 1.17584i 0.0188635 0.0642433i
\(336\) −1.85990 + 0.0377987i −0.101466 + 0.00206209i
\(337\) −9.27288 + 14.4289i −0.505126 + 0.785991i −0.996379 0.0850257i \(-0.972903\pi\)
0.491253 + 0.871017i \(0.336539\pi\)
\(338\) 3.66247 + 12.4732i 0.199212 + 0.678454i
\(339\) 2.17884 + 6.89869i 0.118338 + 0.374685i
\(340\) 2.71307 + 5.94079i 0.147137 + 0.322185i
\(341\) −2.98131 20.7355i −0.161447 1.12289i
\(342\) −1.35873 + 13.2539i −0.0734719 + 0.716686i
\(343\) −10.4275 9.03546i −0.563031 0.487869i
\(344\) 9.06806 0.488917
\(345\) 7.90196 + 2.56107i 0.425427 + 0.137883i
\(346\) −20.2335 −1.08776
\(347\) 18.3018 + 15.8586i 0.982495 + 0.851336i 0.988891 0.148643i \(-0.0474906\pi\)
−0.00639629 + 0.999980i \(0.502036\pi\)
\(348\) 1.80518 + 1.10895i 0.0967678 + 0.0594459i
\(349\) −3.65367 25.4118i −0.195576 1.36026i −0.816931 0.576735i \(-0.804327\pi\)
0.621355 0.783529i \(-0.286583\pi\)
\(350\) −0.446170 0.976977i −0.0238488 0.0522216i
\(351\) −0.0679446 0.0261532i −0.00362662 0.00139595i
\(352\) −0.658858 2.24386i −0.0351173 0.119598i
\(353\) −1.35976 + 2.11583i −0.0723727 + 0.112614i −0.875553 0.483121i \(-0.839503\pi\)
0.803181 + 0.595735i \(0.203139\pi\)
\(354\) −0.124366 6.11949i −0.00661000 0.325247i
\(355\) 2.05171 6.98748i 0.108893 0.370857i
\(356\) −1.40478 1.62120i −0.0744531 0.0859235i
\(357\) 4.82148 11.1518i 0.255180 0.590217i
\(358\) 7.89564 + 2.31837i 0.417297 + 0.122530i
\(359\) 10.4139 22.8033i 0.549625 1.20351i −0.407331 0.913280i \(-0.633541\pi\)
0.956957 0.290231i \(-0.0937322\pi\)
\(360\) −0.961450 2.84176i −0.0506729 0.149774i
\(361\) 0.694110 0.203809i 0.0365321 0.0107268i
\(362\) 1.76493 12.2753i 0.0927626 0.645178i
\(363\) 7.36601 + 6.12512i 0.386615 + 0.321485i
\(364\) −0.0148953 + 0.00214163i −0.000780728 + 0.000112252i
\(365\) 12.4436 7.99701i 0.651327 0.418582i
\(366\) 4.25869 15.6753i 0.222605 0.819359i
\(367\) 2.71584i 0.141766i −0.997485 0.0708829i \(-0.977418\pi\)
0.997485 0.0708829i \(-0.0225817\pi\)
\(368\) 4.77436 0.453276i 0.248881 0.0236286i
\(369\) −27.1792 21.6818i −1.41489 1.12871i
\(370\) −3.72333 + 4.29696i −0.193567 + 0.223388i
\(371\) 1.21754 + 1.89454i 0.0632118 + 0.0983594i
\(372\) −8.65174 12.8793i −0.448572 0.667759i
\(373\) 25.4924 11.6420i 1.31995 0.602800i 0.374094 0.927391i \(-0.377954\pi\)
0.945855 + 0.324591i \(0.105227\pi\)
\(374\) 15.1179 + 2.17362i 0.781726 + 0.112395i
\(375\) 1.28568 1.16062i 0.0663922 0.0599339i
\(376\) −6.87757 4.41994i −0.354683 0.227941i
\(377\) 0.0155893 + 0.00711941i 0.000802892 + 0.000366668i
\(378\) −2.72560 + 4.87001i −0.140190 + 0.250486i
\(379\) 0.592293 0.513225i 0.0304240 0.0263626i −0.639516 0.768778i \(-0.720865\pi\)
0.669940 + 0.742415i \(0.266320\pi\)
\(380\) −3.35636 + 2.90831i −0.172178 + 0.149193i
\(381\) −6.09267 + 1.00275i −0.312137 + 0.0513722i
\(382\) 4.58913 + 2.09579i 0.234800 + 0.107230i
\(383\) 11.5620 + 7.43046i 0.590792 + 0.379679i 0.801611 0.597846i \(-0.203977\pi\)
−0.210819 + 0.977525i \(0.567613\pi\)
\(384\) −1.16062 1.28568i −0.0592274 0.0656096i
\(385\) −2.48617 0.357457i −0.126707 0.0182177i
\(386\) −10.1334 + 4.62777i −0.515777 + 0.235547i
\(387\) 13.7657 23.4643i 0.699751 1.19276i
\(388\) −3.96052 6.16270i −0.201065 0.312863i
\(389\) −5.01019 + 5.78207i −0.254027 + 0.293163i −0.868412 0.495844i \(-0.834859\pi\)
0.614385 + 0.789007i \(0.289404\pi\)
\(390\) −0.0105278 0.0218656i −0.000533095 0.00110721i
\(391\) −10.2604 + 29.5933i −0.518889 + 1.49660i
\(392\) 5.84645i 0.295290i
\(393\) −32.4333 8.81154i −1.63604 0.444483i
\(394\) 13.4019 8.61288i 0.675178 0.433910i
\(395\) 0.258517 0.0371691i 0.0130074 0.00187018i
\(396\) −6.80634 1.70144i −0.342032 0.0855007i
\(397\) 1.40912 9.80067i 0.0707219 0.491882i −0.923419 0.383793i \(-0.874618\pi\)
0.994141 0.108089i \(-0.0344732\pi\)
\(398\) 16.5681 4.86484i 0.830485 0.243852i
\(399\) 8.19982 + 1.00936i 0.410505 + 0.0505313i
\(400\) 0.415415 0.909632i 0.0207708 0.0454816i
\(401\) 16.1734 + 4.74895i 0.807663 + 0.237151i 0.659396 0.751796i \(-0.270812\pi\)
0.148267 + 0.988947i \(0.452630\pi\)
\(402\) −1.94831 0.842348i −0.0971726 0.0420125i
\(403\) −0.0821914 0.0948540i −0.00409425 0.00472501i
\(404\) −0.280352 + 0.954792i −0.0139480 + 0.0475027i
\(405\) −8.81280 1.82610i −0.437911 0.0907396i
\(406\) 0.710255 1.10518i 0.0352494 0.0548491i
\(407\) 3.74606 + 12.7579i 0.185685 + 0.632386i
\(408\) 10.7868 3.40683i 0.534025 0.168663i
\(409\) 12.0567 + 26.4004i 0.596164 + 1.30542i 0.931645 + 0.363370i \(0.118374\pi\)
−0.335481 + 0.942047i \(0.608899\pi\)
\(410\) −1.64933 11.4713i −0.0814546 0.566529i
\(411\) −12.9981 + 21.1586i −0.641147 + 1.04368i
\(412\) −1.32813 1.15084i −0.0654325 0.0566976i
\(413\) −3.79545 −0.186762
\(414\) 6.07481 13.0421i 0.298561 0.640985i
\(415\) −11.1529 −0.547472
\(416\) −0.0105889 0.00917538i −0.000519166 0.000449860i
\(417\) 10.0649 16.3840i 0.492882 0.802329i
\(418\) 1.47807 + 10.2802i 0.0722949 + 0.502822i
\(419\) 9.92680 + 21.7367i 0.484956 + 1.06191i 0.981071 + 0.193649i \(0.0620321\pi\)
−0.496115 + 0.868257i \(0.665241\pi\)
\(420\) −1.77391 + 0.560262i −0.0865580 + 0.0273380i
\(421\) 6.58980 + 22.4428i 0.321167 + 1.09379i 0.948955 + 0.315411i \(0.102142\pi\)
−0.627788 + 0.778384i \(0.716040\pi\)
\(422\) −1.30201 + 2.02596i −0.0633807 + 0.0986223i
\(423\) −21.8774 + 11.0865i −1.06371 + 0.539046i
\(424\) −0.590738 + 2.01187i −0.0286888 + 0.0977049i
\(425\) 4.27688 + 4.93579i 0.207459 + 0.239421i
\(426\) −11.5778 5.00567i −0.560948 0.242525i
\(427\) −9.66447 2.83775i −0.467697 0.137328i
\(428\) 0.813033 1.78029i 0.0392994 0.0860538i
\(429\) −0.0563280 0.00693374i −0.00271954 0.000334764i
\(430\) 8.70074 2.55477i 0.419587 0.123202i
\(431\) −2.81370 + 19.5697i −0.135531 + 0.942639i 0.802639 + 0.596465i \(0.203429\pi\)
−0.938170 + 0.346174i \(0.887481\pi\)
\(432\) −5.08866 + 1.05146i −0.244828 + 0.0505883i
\(433\) 24.5291 3.52675i 1.17879 0.169485i 0.475062 0.879952i \(-0.342426\pi\)
0.703730 + 0.710468i \(0.251516\pi\)
\(434\) −8.09372 + 5.20152i −0.388511 + 0.249681i
\(435\) 2.04448 + 0.555450i 0.0980255 + 0.0266318i
\(436\) 14.9592i 0.716414i
\(437\) −21.2741 1.02501i −1.01768 0.0490329i
\(438\) −11.1143 23.0837i −0.531060 1.10298i
\(439\) 6.16044 7.10953i 0.294022 0.339319i −0.589449 0.807806i \(-0.700655\pi\)
0.883471 + 0.468486i \(0.155200\pi\)
\(440\) −1.26434 1.96735i −0.0602750 0.0937897i
\(441\) −15.1281 8.87517i −0.720387 0.422627i
\(442\) 0.0832375 0.0380133i 0.00395921 0.00180811i
\(443\) 12.7030 + 1.82642i 0.603540 + 0.0867759i 0.437309 0.899311i \(-0.355931\pi\)
0.166230 + 0.986087i \(0.446841\pi\)
\(444\) 6.59890 + 7.30998i 0.313170 + 0.346916i
\(445\) −1.80462 1.15976i −0.0855472 0.0549778i
\(446\) 16.4507 + 7.51279i 0.778964 + 0.355741i
\(447\) 31.5950 5.19998i 1.49439 0.245951i
\(448\) −0.811701 + 0.703343i −0.0383493 + 0.0332298i
\(449\) 2.28971 1.98404i 0.108058 0.0936328i −0.599156 0.800632i \(-0.704497\pi\)
0.707214 + 0.706999i \(0.249952\pi\)
\(450\) −1.72312 2.45578i −0.0812287 0.115767i
\(451\) −24.6535 11.2589i −1.16089 0.530159i
\(452\) 3.51382 + 2.25820i 0.165276 + 0.106217i
\(453\) 6.53045 5.89520i 0.306827 0.276981i
\(454\) 6.22243 + 0.894650i 0.292033 + 0.0419880i
\(455\) −0.0136886 + 0.00625137i −0.000641731 + 0.000293069i
\(456\) 4.28935 + 6.38527i 0.200867 + 0.299018i
\(457\) 13.8636 + 21.5722i 0.648512 + 1.00911i 0.997409 + 0.0719438i \(0.0229202\pi\)
−0.348896 + 0.937161i \(0.613443\pi\)
\(458\) −10.8924 + 12.5705i −0.508968 + 0.587380i
\(459\) 7.55938 33.0833i 0.352842 1.54420i
\(460\) 4.45327 1.78001i 0.207635 0.0829933i
\(461\) 27.3066i 1.27180i 0.771773 + 0.635899i \(0.219370\pi\)
−0.771773 + 0.635899i \(0.780630\pi\)
\(462\) −1.14059 + 4.19827i −0.0530652 + 0.195321i
\(463\) 27.1386 17.4409i 1.26124 0.810549i 0.272786 0.962075i \(-0.412055\pi\)
0.988453 + 0.151526i \(0.0484186\pi\)
\(464\) 1.21072 0.174075i 0.0562063 0.00808124i
\(465\) −11.9298 9.92009i −0.553231 0.460033i
\(466\) −2.65325 + 18.4537i −0.122909 + 0.854852i
\(467\) −22.7759 + 6.68762i −1.05394 + 0.309466i −0.762410 0.647094i \(-0.775984\pi\)
−0.291534 + 0.956560i \(0.594166\pi\)
\(468\) −0.0398165 + 0.0134711i −0.00184052 + 0.000622700i
\(469\) −0.546775 + 1.19727i −0.0252477 + 0.0552848i
\(470\) −7.84422 2.30327i −0.361827 0.106242i
\(471\) 11.5403 26.6921i 0.531749 1.22991i
\(472\) −2.31416 2.67068i −0.106518 0.122928i
\(473\) 5.97457 20.3475i 0.274711 0.935579i
\(474\) −0.00919158 0.452275i −0.000422183 0.0207737i
\(475\) −2.40104 + 3.73610i −0.110167 + 0.171424i
\(476\) −1.97621 6.73037i −0.0905796 0.308486i
\(477\) 4.30909 + 4.58268i 0.197300 + 0.209827i
\(478\) 0.401652 + 0.879495i 0.0183711 + 0.0402272i
\(479\) −1.32769 9.23430i −0.0606638 0.421926i −0.997411 0.0719180i \(-0.977088\pi\)
0.936747 0.350008i \(-0.113821\pi\)
\(480\) −1.47582 0.906618i −0.0673617 0.0413812i
\(481\) 0.0602055 + 0.0521683i 0.00274513 + 0.00237867i
\(482\) 25.5101 1.16195
\(483\) −8.00913 3.93050i −0.364428 0.178844i
\(484\) 5.53098 0.251408
\(485\) −5.53633 4.79725i −0.251392 0.217832i
\(486\) −5.00408 + 14.7634i −0.226990 + 0.669683i
\(487\) 5.29052 + 36.7964i 0.239736 + 1.66740i 0.653430 + 0.756987i \(0.273329\pi\)
−0.413694 + 0.910416i \(0.635762\pi\)
\(488\) −3.89583 8.53068i −0.176356 0.386166i
\(489\) 10.7733 + 34.1105i 0.487183 + 1.54253i
\(490\) −1.64713 5.60963i −0.0744100 0.253417i
\(491\) 9.52224 14.8169i 0.429733 0.668677i −0.557096 0.830448i \(-0.688084\pi\)
0.986828 + 0.161771i \(0.0517207\pi\)
\(492\) −20.0691 + 0.407865i −0.904786 + 0.0183880i
\(493\) −2.25062 + 7.66492i −0.101363 + 0.345210i
\(494\) 0.0407488 + 0.0470266i 0.00183338 + 0.00211583i
\(495\) −7.00999 + 0.285046i −0.315076 + 0.0128118i
\(496\) −8.59497 2.52371i −0.385926 0.113318i
\(497\) −3.24922 + 7.11480i −0.145748 + 0.319143i
\(498\) −2.36006 + 19.1726i −0.105757 + 0.859145i
\(499\) 7.27234 2.13535i 0.325555 0.0955915i −0.114871 0.993380i \(-0.536646\pi\)
0.440426 + 0.897789i \(0.354827\pi\)
\(500\) 0.142315 0.989821i 0.00636451 0.0442662i
\(501\) −5.51406 + 6.63115i −0.246350 + 0.296258i
\(502\) −20.2349 + 2.90933i −0.903126 + 0.129850i
\(503\) −24.9898 + 16.0600i −1.11424 + 0.716080i −0.962213 0.272297i \(-0.912217\pi\)
−0.152028 + 0.988376i \(0.548580\pi\)
\(504\) 0.587754 + 3.16804i 0.0261806 + 0.141116i
\(505\) 0.995100i 0.0442814i
\(506\) 2.12854 11.0117i 0.0946251 0.489528i
\(507\) 20.2873 9.76785i 0.900990 0.433805i
\(508\) −2.33453 + 2.69419i −0.103578 + 0.119536i
\(509\) 4.48649 + 6.98112i 0.198860 + 0.309433i 0.926334 0.376703i \(-0.122942\pi\)
−0.727474 + 0.686135i \(0.759306\pi\)
\(510\) 9.39003 6.30782i 0.415797 0.279315i
\(511\) −14.4512 + 6.59962i −0.639282 + 0.291950i
\(512\) −0.989821 0.142315i −0.0437443 0.00628949i
\(513\) 23.0338 1.40590i 1.01697 0.0620718i
\(514\) 2.27790 + 1.46392i 0.100474 + 0.0645705i
\(515\) −1.59856 0.730040i −0.0704411 0.0321694i
\(516\) −2.55067 15.4978i −0.112287 0.682255i
\(517\) −14.4491 + 12.5202i −0.635470 + 0.550638i
\(518\) 4.61508 3.99899i 0.202775 0.175706i
\(519\) 5.69130 + 34.5803i 0.249821 + 1.51791i
\(520\) −0.0127450 0.00582046i −0.000558906 0.000255244i
\(521\) −19.2324 12.3599i −0.842587 0.541498i 0.0466676 0.998910i \(-0.485140\pi\)
−0.889254 + 0.457413i \(0.848776\pi\)
\(522\) 1.38750 3.39708i 0.0607290 0.148686i
\(523\) 25.0226 + 3.59770i 1.09416 + 0.157316i 0.665682 0.746236i \(-0.268141\pi\)
0.428478 + 0.903552i \(0.359050\pi\)
\(524\) −17.6506 + 8.06076i −0.771070 + 0.352136i
\(525\) −1.54421 + 1.03734i −0.0673949 + 0.0452730i
\(526\) 8.15880 + 12.6953i 0.355741 + 0.553543i
\(527\) 38.3116 44.2139i 1.66888 1.92599i
\(528\) −3.64957 + 1.75718i −0.158827 + 0.0764716i
\(529\) 21.3431 + 8.57146i 0.927963 + 0.372672i
\(530\) 2.09680i 0.0910793i
\(531\) −10.4236 + 1.93384i −0.452345 + 0.0839217i
\(532\) 4.01270 2.57880i 0.173972 0.111805i
\(533\) −0.160727 + 0.0231091i −0.00696187 + 0.00100097i
\(534\) −2.37559 + 2.85686i −0.102802 + 0.123628i
\(535\) 0.278533 1.93724i 0.0120420 0.0837541i
\(536\) −1.17584 + 0.345259i −0.0507888 + 0.0149129i
\(537\) 1.74134 14.1462i 0.0751443 0.610454i
\(538\) 9.72745 21.3001i 0.419380 0.918315i
\(539\) −13.1186 3.85198i −0.565060 0.165917i
\(540\) −4.58630 + 2.44251i −0.197363 + 0.105109i
\(541\) −3.86331 4.45850i −0.166097 0.191686i 0.666599 0.745416i \(-0.267749\pi\)
−0.832696 + 0.553730i \(0.813204\pi\)
\(542\) 3.46711 11.8079i 0.148925 0.507193i
\(543\) −21.4757 + 0.436451i −0.921612 + 0.0187299i
\(544\) 3.53092 5.49421i 0.151387 0.235562i
\(545\) 4.21448 + 14.3532i 0.180529 + 0.614824i
\(546\) 0.00784993 + 0.0248546i 0.000335946 + 0.00106368i
\(547\) 8.68918 + 19.0266i 0.371522 + 0.813521i 0.999381 + 0.0351928i \(0.0112045\pi\)
−0.627858 + 0.778328i \(0.716068\pi\)
\(548\) 2.04035 + 14.1909i 0.0871594 + 0.606207i
\(549\) −27.9878 2.86920i −1.19449 0.122455i
\(550\) −1.76739 1.53145i −0.0753618 0.0653014i
\(551\) −5.43223 −0.231421
\(552\) −2.11761 8.03217i −0.0901315 0.341872i
\(553\) −0.280511 −0.0119285
\(554\) 11.4365 + 9.90981i 0.485892 + 0.421028i
\(555\) 8.39105 + 5.15475i 0.356180 + 0.218807i
\(556\) −1.57993 10.9886i −0.0670039 0.466022i
\(557\) 15.5462 + 34.0414i 0.658714 + 1.44238i 0.883716 + 0.468024i \(0.155034\pi\)
−0.225002 + 0.974358i \(0.572239\pi\)
\(558\) −19.5778 + 18.4090i −0.828796 + 0.779316i
\(559\) −0.0357953 0.121908i −0.00151398 0.00515615i
\(560\) −0.580667 + 0.903536i −0.0245377 + 0.0381814i
\(561\) −0.537517 26.4487i −0.0226940 1.11666i
\(562\) −0.731832 + 2.49239i −0.0308705 + 0.105135i
\(563\) 25.9743 + 29.9760i 1.09469 + 1.26334i 0.962257 + 0.272144i \(0.0877326\pi\)
0.132430 + 0.991192i \(0.457722\pi\)
\(564\) −5.61942 + 12.9974i −0.236620 + 0.547290i
\(565\) 4.00770 + 1.17677i 0.168605 + 0.0495069i
\(566\) −4.34657 + 9.51767i −0.182700 + 0.400057i
\(567\) 9.08979 + 3.28838i 0.381735 + 0.138099i
\(568\) −6.98748 + 2.05171i −0.293188 + 0.0860878i
\(569\) −3.57508 + 24.8652i −0.149875 + 1.04240i 0.766546 + 0.642189i \(0.221974\pi\)
−0.916421 + 0.400215i \(0.868936\pi\)
\(570\) 5.91454 + 4.91817i 0.247733 + 0.206000i
\(571\) −23.5635 + 3.38792i −0.986103 + 0.141780i −0.616454 0.787391i \(-0.711431\pi\)
−0.369649 + 0.929171i \(0.620522\pi\)
\(572\) −0.0275649 + 0.0177149i −0.00115255 + 0.000740697i
\(573\) 2.29099 8.43260i 0.0957074 0.352277i
\(574\) 12.4473i 0.519541i
\(575\) 3.77139 2.96254i 0.157278 0.123546i
\(576\) −1.87084 + 2.34520i −0.0779518 + 0.0977165i
\(577\) 17.3468 20.0193i 0.722156 0.833412i −0.269409 0.963026i \(-0.586828\pi\)
0.991565 + 0.129613i \(0.0413737\pi\)
\(578\) 13.8695 + 21.5813i 0.576893 + 0.897664i
\(579\) 10.7595 + 16.0169i 0.447148 + 0.665639i
\(580\) 1.11264 0.508123i 0.0461997 0.0210987i
\(581\) 11.8566 + 1.70473i 0.491896 + 0.0707240i
\(582\) −9.41839 + 8.50221i −0.390405 + 0.352428i
\(583\) 4.12515 + 2.65107i 0.170846 + 0.109796i
\(584\) −13.4550 6.14470i −0.556773 0.254270i
\(585\) −0.0344084 + 0.0241430i −0.00142261 + 0.000998189i
\(586\) −2.13655 + 1.85133i −0.0882601 + 0.0764778i
\(587\) 7.32572 6.34777i 0.302365 0.262001i −0.490442 0.871474i \(-0.663165\pi\)
0.792807 + 0.609473i \(0.208619\pi\)
\(588\) −9.99192 + 1.64449i −0.412060 + 0.0678177i
\(589\) 36.1876 + 16.5263i 1.49108 + 0.680955i
\(590\) −2.97284 1.91053i −0.122390 0.0786552i
\(591\) −18.4896 20.4820i −0.760561 0.842517i
\(592\) 5.62782 + 0.809158i 0.231302 + 0.0332562i
\(593\) −13.5069 + 6.16837i −0.554660 + 0.253305i −0.672967 0.739672i \(-0.734981\pi\)
0.118307 + 0.992977i \(0.462253\pi\)
\(594\) −0.993374 + 12.1110i −0.0407586 + 0.496921i
\(595\) −3.79233 5.90098i −0.155470 0.241916i
\(596\) 12.1063 13.9714i 0.495892 0.572290i
\(597\) −12.9746 26.9475i −0.531015 1.10289i
\(598\) −0.0249400 0.0623955i −0.00101987 0.00255154i
\(599\) 32.0753i 1.31056i 0.755386 + 0.655280i \(0.227449\pi\)
−0.755386 + 0.655280i \(0.772551\pi\)
\(600\) −1.67146 0.454107i −0.0682372 0.0185388i
\(601\) 0.511530 0.328740i 0.0208657 0.0134096i −0.530166 0.847894i \(-0.677871\pi\)
0.551032 + 0.834484i \(0.314234\pi\)
\(602\) −9.64028 + 1.38606i −0.392909 + 0.0564917i
\(603\) −0.891601 + 3.56670i −0.0363088 + 0.145247i
\(604\) 0.722871 5.02767i 0.0294132 0.204573i
\(605\) 5.30694 1.55826i 0.215758 0.0633521i
\(606\) 1.71065 + 0.210574i 0.0694905 + 0.00855398i
\(607\) 10.6675 23.3586i 0.432982 0.948098i −0.559852 0.828593i \(-0.689142\pi\)
0.992834 0.119505i \(-0.0381308\pi\)
\(608\) 4.26121 + 1.25120i 0.172815 + 0.0507430i
\(609\) −2.08860 0.903002i −0.0846342 0.0365915i
\(610\) −6.14139 7.08755i −0.248658 0.286966i
\(611\) −0.0322715 + 0.109907i −0.00130557 + 0.00444635i
\(612\) −8.85659 17.4770i −0.358007 0.706465i
\(613\) −14.1689 + 22.0472i −0.572275 + 0.890477i −0.999909 0.0134748i \(-0.995711\pi\)
0.427634 + 0.903952i \(0.359347\pi\)
\(614\) −6.11485 20.8253i −0.246775 0.840439i
\(615\) −19.1413 + 6.04547i −0.771851 + 0.243777i
\(616\) 1.04341 + 2.28475i 0.0420402 + 0.0920553i
\(617\) 2.40830 + 16.7501i 0.0969544 + 0.674333i 0.979103 + 0.203363i \(0.0651870\pi\)
−0.882149 + 0.470970i \(0.843904\pi\)
\(618\) −1.59327 + 2.59357i −0.0640906 + 0.104329i
\(619\) −32.5856 28.2356i −1.30973 1.13488i −0.981746 0.190199i \(-0.939087\pi\)
−0.327980 0.944685i \(-0.606368\pi\)
\(620\) −8.95783 −0.359755
\(621\) −23.9985 6.71372i −0.963025 0.269412i
\(622\) 3.33238 0.133616
\(623\) 1.74123 + 1.50878i 0.0697608 + 0.0604480i
\(624\) −0.0127028 + 0.0206780i −0.000508519 + 0.000827782i
\(625\) −0.142315 0.989821i −0.00569259 0.0395929i
\(626\) −3.64444 7.98020i −0.145661 0.318953i
\(627\) 17.1538 5.41774i 0.685055 0.216364i
\(628\) −4.73011 16.1093i −0.188752 0.642830i
\(629\) −20.0757 + 31.2384i −0.800470 + 1.24556i
\(630\) 1.45649 + 2.87413i 0.0580278 + 0.114508i
\(631\) −1.26895 + 4.32165i −0.0505161 + 0.172042i −0.980887 0.194577i \(-0.937667\pi\)
0.930371 + 0.366619i \(0.119485\pi\)
\(632\) −0.171033 0.197383i −0.00680334 0.00785147i
\(633\) 3.82872 + 1.65534i 0.152178 + 0.0657939i
\(634\) 1.61403 + 0.473922i 0.0641013 + 0.0188219i
\(635\) −1.48093 + 3.24277i −0.0587687 + 0.128686i
\(636\) 3.60456 + 0.443706i 0.142930 + 0.0175941i
\(637\) −0.0785975 + 0.0230783i −0.00311415 + 0.000914396i
\(638\) 0.407091 2.83138i 0.0161169 0.112096i
\(639\) −5.29836 + 21.1952i −0.209600 + 0.838469i
\(640\) −0.989821 + 0.142315i −0.0391261 + 0.00562549i
\(641\) −7.93814 + 5.10153i −0.313537 + 0.201498i −0.687939 0.725768i \(-0.741484\pi\)
0.374402 + 0.927267i \(0.377848\pi\)
\(642\) −3.27132 0.888759i −0.129109 0.0350765i
\(643\) 17.0506i 0.672410i −0.941789 0.336205i \(-0.890856\pi\)
0.941789 0.336205i \(-0.109144\pi\)
\(644\) −5.00636 + 1.21165i −0.197278 + 0.0477455i
\(645\) −6.81360 14.1515i −0.268285 0.557214i
\(646\) −18.9941 + 21.9204i −0.747313 + 0.862445i
\(647\) 5.79317 + 9.01434i 0.227753 + 0.354390i 0.936257 0.351317i \(-0.114266\pi\)
−0.708504 + 0.705707i \(0.750630\pi\)
\(648\) 3.22834 + 8.40106i 0.126821 + 0.330025i
\(649\) −7.51735 + 3.43306i −0.295082 + 0.134759i
\(650\) −0.0138686 0.00199400i −0.000543970 7.82111e-5i
\(651\) 11.1663 + 12.3696i 0.437642 + 0.484801i
\(652\) 17.3741 + 11.1656i 0.680421 + 0.437280i
\(653\) 9.97368 + 4.55483i 0.390300 + 0.178244i 0.600893 0.799330i \(-0.294812\pi\)
−0.210592 + 0.977574i \(0.567539\pi\)
\(654\) 25.5661 4.20772i 0.999712 0.164535i
\(655\) −14.6647 + 12.7070i −0.572995 + 0.496503i
\(656\) −8.75861 + 7.58938i −0.341966 + 0.296316i
\(657\) −36.3252 + 25.4879i −1.41718 + 0.994379i
\(658\) 7.98715 + 3.64761i 0.311372 + 0.142199i
\(659\) −17.6946 11.3716i −0.689282 0.442975i 0.148549 0.988905i \(-0.452540\pi\)
−0.837830 + 0.545931i \(0.816176\pi\)
\(660\) −3.00668 + 2.71421i −0.117035 + 0.105650i
\(661\) −46.2410 6.64846i −1.79857 0.258595i −0.839822 0.542862i \(-0.817341\pi\)
−0.958745 + 0.284267i \(0.908250\pi\)
\(662\) −32.3803 + 14.7876i −1.25850 + 0.574736i
\(663\) −0.0883801 0.131565i −0.00343240 0.00510958i
\(664\) 6.02969 + 9.38238i 0.233997 + 0.364107i
\(665\) 3.12362 3.60485i 0.121129 0.139790i
\(666\) 10.6370 13.3341i 0.412177 0.516684i
\(667\) 5.54244 + 1.92164i 0.214604 + 0.0744060i
\(668\) 4.97919i 0.192651i
\(669\) 8.21253 30.2284i 0.317515 1.16870i
\(670\) −1.03094 + 0.662547i −0.0398288 + 0.0255964i
\(671\) −21.7085 + 3.12121i −0.838047 + 0.120493i
\(672\) 1.43037 + 1.18941i 0.0551778 + 0.0458824i
\(673\) 6.09781 42.4112i 0.235053 1.63483i −0.440665 0.897672i \(-0.645257\pi\)
0.675718 0.737160i \(-0.263834\pi\)
\(674\) 16.4569 4.83218i 0.633896 0.186129i
\(675\) −3.71239 + 3.63568i −0.142890 + 0.139937i
\(676\) 5.40031 11.8250i 0.207704 0.454809i
\(677\) −9.09841 2.67153i −0.349680 0.102675i 0.102176 0.994766i \(-0.467420\pi\)
−0.451856 + 0.892091i \(0.649238\pi\)
\(678\) 2.87102 6.64052i 0.110261 0.255028i
\(679\) 5.15242 + 5.94621i 0.197732 + 0.228195i
\(680\) 1.83999 6.26643i 0.0705604 0.240307i
\(681\) −0.221239 10.8861i −0.00847790 0.417158i
\(682\) −11.3257 + 17.6232i −0.433685 + 0.674827i
\(683\) 13.2518 + 45.1315i 0.507067 + 1.72691i 0.671950 + 0.740597i \(0.265457\pi\)
−0.164883 + 0.986313i \(0.552725\pi\)
\(684\) 9.70629 9.12681i 0.371129 0.348972i
\(685\) 5.95575 + 13.0413i 0.227558 + 0.498282i
\(686\) 1.96359 + 13.6571i 0.0749704 + 0.521430i
\(687\) 24.5475 + 15.0799i 0.936546 + 0.575334i
\(688\) −6.85318 5.93832i −0.261275 0.226396i
\(689\) 0.0293787 0.00111924
\(690\) −4.29476 7.11021i −0.163499 0.270681i
\(691\) −20.2800 −0.771488 −0.385744 0.922606i \(-0.626055\pi\)
−0.385744 + 0.922606i \(0.626055\pi\)
\(692\) 15.2915 + 13.2502i 0.581295 + 0.503695i
\(693\) 7.49591 + 0.768452i 0.284746 + 0.0291911i
\(694\) −3.44641 23.9703i −0.130824 0.909901i
\(695\) −4.61179 10.0984i −0.174935 0.383054i
\(696\) −0.638057 2.02023i −0.0241855 0.0765766i
\(697\) −21.3242 72.6236i −0.807712 2.75082i
\(698\) −13.8800 + 21.5976i −0.525364 + 0.817482i
\(699\) 32.2848 0.656124i 1.22112 0.0248169i
\(700\) −0.302591 + 1.03053i −0.0114369 + 0.0389503i
\(701\) −6.41032 7.39790i −0.242114 0.279415i 0.621667 0.783282i \(-0.286456\pi\)
−0.863781 + 0.503867i \(0.831910\pi\)
\(702\) 0.0342224 + 0.0642595i 0.00129164 + 0.00242532i
\(703\) −24.2279 7.11396i −0.913773 0.268308i
\(704\) −0.971487 + 2.12726i −0.0366143 + 0.0801741i
\(705\) −1.73000 + 14.0541i −0.0651555 + 0.529308i
\(706\) 2.41321 0.708582i 0.0908223 0.0266678i
\(707\) 0.152102 1.05789i 0.00572039 0.0397862i
\(708\) −3.91343 + 4.70625i −0.147076 + 0.176872i
\(709\) −38.3480 + 5.51361i −1.44019 + 0.207068i −0.817738 0.575591i \(-0.804772\pi\)
−0.622451 + 0.782659i \(0.713863\pi\)
\(710\) −6.12640 + 3.93720i −0.229920 + 0.147760i
\(711\) −0.770379 + 0.142925i −0.0288915 + 0.00536011i
\(712\) 2.14516i 0.0803931i
\(713\) −31.0757 29.6629i −1.16379 1.11088i
\(714\) −10.9467 + 5.27059i −0.409671 + 0.197247i
\(715\) −0.0214575 + 0.0247632i −0.000802464 + 0.000926093i
\(716\) −4.44892 6.92265i −0.166264 0.258712i
\(717\) 1.39013 0.933831i 0.0519154 0.0348746i
\(718\) −22.8033 + 10.4139i −0.851011 + 0.388644i
\(719\) −8.87795 1.27646i −0.331092 0.0476038i −0.0252355 0.999682i \(-0.508034\pi\)
−0.305856 + 0.952078i \(0.598943\pi\)
\(720\) −1.13434 + 2.77728i −0.0422745 + 0.103503i
\(721\) 1.58785 + 1.02045i 0.0591346 + 0.0380035i
\(722\) −0.658040 0.300517i −0.0244897 0.0111841i
\(723\) −7.17549 43.5982i −0.266859 1.62144i
\(724\) −9.37249 + 8.12131i −0.348326 + 0.301826i
\(725\) 0.924411 0.801006i 0.0343318 0.0297486i
\(726\) −1.55576 9.45277i −0.0577396 0.350825i
\(727\) 3.55788 + 1.62483i 0.131955 + 0.0602617i 0.480298 0.877105i \(-0.340528\pi\)
−0.348344 + 0.937367i \(0.613256\pi\)
\(728\) 0.0126596 + 0.00813584i 0.000469196 + 0.000301534i
\(729\) 26.6391 + 4.39960i 0.986635 + 0.162948i
\(730\) −14.6412 2.10508i −0.541894 0.0779125i
\(731\) 53.8715 24.6023i 1.99251 0.909948i
\(732\) −13.4836 + 9.05772i −0.498369 + 0.334783i
\(733\) 25.5466 + 39.7513i 0.943585 + 1.46825i 0.882609 + 0.470108i \(0.155785\pi\)
0.0609767 + 0.998139i \(0.480578\pi\)
\(734\) −1.77850 + 2.05250i −0.0656456 + 0.0757590i
\(735\) −9.12387 + 4.39293i −0.336539 + 0.162036i
\(736\) −3.90506 2.78398i −0.143942 0.102619i
\(737\) 2.86591i 0.105567i
\(738\) 6.34212 + 34.1846i 0.233457 + 1.25835i
\(739\) 28.7228 18.4590i 1.05659 0.679026i 0.107551 0.994200i \(-0.465699\pi\)
0.949034 + 0.315174i \(0.102063\pi\)
\(740\) 5.62782 0.809158i 0.206883 0.0297452i
\(741\) 0.0689094 0.0828698i 0.00253145 0.00304430i
\(742\) 0.320499 2.22912i 0.0117659 0.0818335i
\(743\) −9.62516 + 2.82620i −0.353113 + 0.103683i −0.453478 0.891267i \(-0.649817\pi\)
0.100365 + 0.994951i \(0.467999\pi\)
\(744\) −1.89557 + 15.3992i −0.0694951 + 0.564562i
\(745\) 7.67969 16.8162i 0.281362 0.616097i
\(746\) −26.8898 7.89556i −0.984505 0.289077i
\(747\) 33.4309 1.35939i 1.22317 0.0497376i
\(748\) −10.0019 11.5428i −0.365706 0.422047i
\(749\) −0.592218 + 2.01691i −0.0216392 + 0.0736963i
\(750\) −1.73169 + 0.0351932i −0.0632325 + 0.00128507i
\(751\) 3.06750 4.77312i 0.111935 0.174174i −0.780767 0.624823i \(-0.785171\pi\)
0.892701 + 0.450649i \(0.148808\pi\)
\(752\) 2.30327 + 7.84422i 0.0839916 + 0.286049i
\(753\) 10.6639 + 33.7642i 0.388614 + 1.23044i
\(754\) −0.00711941 0.0155893i −0.000259274 0.000567730i
\(755\) −0.722871 5.02767i −0.0263080 0.182976i
\(756\) 5.24905 1.89562i 0.190906 0.0689429i
\(757\) 15.5221 + 13.4500i 0.564160 + 0.488847i 0.889616 0.456710i \(-0.150972\pi\)
−0.325456 + 0.945557i \(0.605518\pi\)
\(758\) −0.783716 −0.0284658
\(759\) −19.4183 0.540428i −0.704840 0.0196163i
\(760\) 4.44110 0.161096
\(761\) 28.6955 + 24.8648i 1.04021 + 0.901349i 0.995222 0.0976381i \(-0.0311288\pi\)
0.0449905 + 0.998987i \(0.485674\pi\)
\(762\) 5.26119 + 3.23203i 0.190593 + 0.117084i
\(763\) −2.28652 15.9031i −0.0827777 0.575732i
\(764\) −2.09579 4.58913i −0.0758229 0.166029i
\(765\) −13.4217 14.2738i −0.485262 0.516072i
\(766\) −3.87208 13.1871i −0.139904 0.476469i
\(767\) −0.0267688 + 0.0416530i −0.000966564 + 0.00150400i
\(768\) 0.0351932 + 1.73169i 0.00126992 + 0.0624871i
\(769\) −4.89053 + 16.6556i −0.176357 + 0.600616i 0.823107 + 0.567886i \(0.192238\pi\)
−0.999464 + 0.0327305i \(0.989580\pi\)
\(770\) 1.64483 + 1.89824i 0.0592757 + 0.0684078i
\(771\) 1.86119 4.30483i 0.0670291 0.155035i
\(772\) 10.6889 + 3.13853i 0.384700 + 0.112958i
\(773\) 2.54020 5.56227i 0.0913647 0.200061i −0.858433