Properties

Label 690.2.w.b.7.4
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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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 7.4
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.b.493.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.62532 + 1.53569i) q^{5} +(0.142315 - 0.989821i) q^{6} +(1.83156 - 3.35425i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.62532 + 1.53569i) q^{5} +(0.142315 - 0.989821i) q^{6} +(1.83156 - 3.35425i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(-1.73074 - 1.41582i) q^{10} +(1.05421 - 0.913477i) q^{11} +(-0.0713392 + 0.997452i) q^{12} +(4.41465 - 2.41058i) q^{13} +(-1.58760 + 3.47637i) q^{14} +(-1.84608 + 1.26174i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-4.62698 - 6.18092i) q^{17} +(0.936950 + 0.349464i) q^{18} +(-0.753219 - 5.23875i) q^{19} +(1.82733 + 1.28875i) q^{20} +(2.88827 + 2.50270i) q^{21} +(-0.986355 + 0.986355i) q^{22} +(4.78172 + 0.367647i) q^{23} -1.00000i q^{24} +(0.283342 + 4.99197i) q^{25} +(-4.23143 + 2.71937i) q^{26} +(0.599278 - 0.800541i) q^{27} +(1.33556 - 3.58077i) q^{28} +(-5.88683 - 0.846398i) q^{29} +(1.75136 - 1.39023i) q^{30} +(-8.20400 - 5.27239i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(0.668513 + 1.22429i) q^{33} +(5.05613 + 5.83508i) q^{34} +(8.12795 - 2.63904i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(0.492162 + 1.31954i) q^{37} +(1.12503 + 5.17167i) q^{38} +(1.41709 + 4.82616i) q^{39} +(-1.91461 - 1.15510i) q^{40} +(2.71326 + 5.94121i) q^{41} +(-3.05945 - 2.29028i) q^{42} +(4.16455 + 0.905943i) q^{43} +(0.913477 - 1.05421i) q^{44} +(-0.840498 - 2.07209i) q^{45} +(-4.79576 - 0.0255868i) q^{46} +(7.10477 + 7.10477i) q^{47} +(0.0713392 + 0.997452i) q^{48} +(-4.11192 - 6.39827i) q^{49} +(-0.638742 - 4.95903i) q^{50} +(7.02320 - 3.20739i) q^{51} +(4.02665 - 3.01431i) q^{52} +(2.49158 + 1.36051i) q^{53} +(-0.540641 + 0.841254i) q^{54} +(3.11624 + 0.134239i) q^{55} +(-1.07671 + 3.66692i) q^{56} +(5.27914 + 0.377572i) q^{57} +(5.93221 + 0.424280i) q^{58} +(-1.11079 + 3.78300i) q^{59} +(-1.64772 + 1.51163i) q^{60} +(-1.03298 + 1.60735i) q^{61} +(8.55923 + 4.67369i) q^{62} +(-3.05945 + 2.29028i) q^{63} +(0.909632 - 0.415415i) q^{64} +(10.8771 + 2.86154i) q^{65} +(-0.754149 - 1.17348i) q^{66} +(-0.824851 - 11.5329i) q^{67} +(-5.45952 - 5.45952i) q^{68} +(-1.37567 + 4.59429i) q^{69} +(-7.91898 + 3.21216i) q^{70} +(-2.57260 + 2.96894i) q^{71} +(0.977147 + 0.212565i) q^{72} +(6.27093 + 4.69436i) q^{73} +(-0.585043 - 1.28107i) q^{74} +(-4.93811 - 0.784252i) q^{75} +(-1.49111 - 5.07824i) q^{76} +(-1.13319 - 5.20917i) q^{77} +(-1.75777 - 4.71277i) q^{78} +(7.27596 + 2.13642i) q^{79} +(1.99214 + 1.01557i) q^{80} +(0.654861 + 0.755750i) q^{81} +(-3.13019 - 5.73251i) q^{82} +(8.24914 - 3.07677i) q^{83} +(3.21505 + 2.06618i) q^{84} +(1.97162 - 17.1516i) q^{85} +(-4.21857 - 0.606539i) q^{86} +(2.07839 - 5.57238i) q^{87} +(-0.835943 + 1.11669i) q^{88} +(-0.749222 + 0.481496i) q^{89} +(0.986178 + 2.00685i) q^{90} -19.2230i q^{91} +(4.78537 - 0.316604i) q^{92} +(6.89579 - 6.89579i) q^{93} +(-7.59352 - 6.57982i) q^{94} +(6.82085 - 9.67137i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-4.59194 - 1.71270i) q^{97} +(4.55789 + 6.08862i) q^{98} +(-1.33841 + 0.392994i) 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
\(5\) 1.62532 + 1.53569i 0.726866 + 0.686779i
\(6\) 0.142315 0.989821i 0.0580998 0.404093i
\(7\) 1.83156 3.35425i 0.692265 1.26779i −0.260908 0.965364i \(-0.584022\pi\)
0.953173 0.302425i \(-0.0977962\pi\)
\(8\) −0.977147 + 0.212565i −0.345474 + 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) −1.73074 1.41582i −0.547307 0.447723i
\(11\) 1.05421 0.913477i 0.317856 0.275424i −0.481289 0.876562i \(-0.659831\pi\)
0.799145 + 0.601138i \(0.205286\pi\)
\(12\) −0.0713392 + 0.997452i −0.0205938 + 0.287940i
\(13\) 4.41465 2.41058i 1.22440 0.668574i 0.268789 0.963199i \(-0.413376\pi\)
0.955613 + 0.294625i \(0.0951946\pi\)
\(14\) −1.58760 + 3.47637i −0.424305 + 0.929099i
\(15\) −1.84608 + 1.26174i −0.476655 + 0.325781i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) −4.62698 6.18092i −1.12221 1.49909i −0.842255 0.539079i \(-0.818773\pi\)
−0.279951 0.960014i \(-0.590318\pi\)
\(18\) 0.936950 + 0.349464i 0.220841 + 0.0823695i
\(19\) −0.753219 5.23875i −0.172800 1.20185i −0.872933 0.487840i \(-0.837785\pi\)
0.700133 0.714013i \(-0.253124\pi\)
\(20\) 1.82733 + 1.28875i 0.408603 + 0.288173i
\(21\) 2.88827 + 2.50270i 0.630273 + 0.546134i
\(22\) −0.986355 + 0.986355i −0.210292 + 0.210292i
\(23\) 4.78172 + 0.367647i 0.997057 + 0.0766598i
\(24\) 1.00000i 0.204124i
\(25\) 0.283342 + 4.99197i 0.0566683 + 0.998393i
\(26\) −4.23143 + 2.71937i −0.829852 + 0.533313i
\(27\) 0.599278 0.800541i 0.115331 0.154064i
\(28\) 1.33556 3.58077i 0.252397 0.676702i
\(29\) −5.88683 0.846398i −1.09316 0.157172i −0.427928 0.903813i \(-0.640756\pi\)
−0.665228 + 0.746640i \(0.731666\pi\)
\(30\) 1.75136 1.39023i 0.319753 0.253820i
\(31\) −8.20400 5.27239i −1.47348 0.946949i −0.997728 0.0673712i \(-0.978539\pi\)
−0.475754 0.879578i \(-0.657825\pi\)
\(32\) −0.936950 + 0.349464i −0.165631 + 0.0617771i
\(33\) 0.668513 + 1.22429i 0.116373 + 0.213121i
\(34\) 5.05613 + 5.83508i 0.867119 + 1.00071i
\(35\) 8.12795 2.63904i 1.37388 0.446079i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 0.492162 + 1.31954i 0.0809110 + 0.216931i 0.971106 0.238649i \(-0.0767046\pi\)
−0.890195 + 0.455580i \(0.849432\pi\)
\(38\) 1.12503 + 5.17167i 0.182504 + 0.838956i
\(39\) 1.41709 + 4.82616i 0.226916 + 0.772805i
\(40\) −1.91461 1.15510i −0.302727 0.182638i
\(41\) 2.71326 + 5.94121i 0.423740 + 0.927860i 0.994301 + 0.106606i \(0.0339983\pi\)
−0.570562 + 0.821255i \(0.693274\pi\)
\(42\) −3.05945 2.29028i −0.472084 0.353398i
\(43\) 4.16455 + 0.905943i 0.635088 + 0.138155i 0.518572 0.855034i \(-0.326464\pi\)
0.116516 + 0.993189i \(0.462827\pi\)
\(44\) 0.913477 1.05421i 0.137712 0.158928i
\(45\) −0.840498 2.07209i −0.125294 0.308889i
\(46\) −4.79576 0.0255868i −0.707097 0.00377256i
\(47\) 7.10477 + 7.10477i 1.03634 + 1.03634i 0.999314 + 0.0370233i \(0.0117876\pi\)
0.0370233 + 0.999314i \(0.488212\pi\)
\(48\) 0.0713392 + 0.997452i 0.0102969 + 0.143970i
\(49\) −4.11192 6.39827i −0.587417 0.914038i
\(50\) −0.638742 4.95903i −0.0903318 0.701313i
\(51\) 7.02320 3.20739i 0.983445 0.449124i
\(52\) 4.02665 3.01431i 0.558396 0.418010i
\(53\) 2.49158 + 1.36051i 0.342245 + 0.186880i 0.641174 0.767395i \(-0.278448\pi\)
−0.298929 + 0.954275i \(0.596629\pi\)
\(54\) −0.540641 + 0.841254i −0.0735719 + 0.114480i
\(55\) 3.11624 + 0.134239i 0.420194 + 0.0181007i
\(56\) −1.07671 + 3.66692i −0.143881 + 0.490013i
\(57\) 5.27914 + 0.377572i 0.699239 + 0.0500106i
\(58\) 5.93221 + 0.424280i 0.778937 + 0.0557107i
\(59\) −1.11079 + 3.78300i −0.144612 + 0.492505i −0.999661 0.0260435i \(-0.991709\pi\)
0.855048 + 0.518548i \(0.173527\pi\)
\(60\) −1.64772 + 1.51163i −0.212720 + 0.195150i
\(61\) −1.03298 + 1.60735i −0.132259 + 0.205800i −0.901066 0.433681i \(-0.857214\pi\)
0.768807 + 0.639481i \(0.220851\pi\)
\(62\) 8.55923 + 4.67369i 1.08702 + 0.593559i
\(63\) −3.05945 + 2.29028i −0.385455 + 0.288548i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 10.8771 + 2.86154i 1.34914 + 0.354930i
\(66\) −0.754149 1.17348i −0.0928294 0.144445i
\(67\) −0.824851 11.5329i −0.100772 1.40897i −0.756510 0.653983i \(-0.773097\pi\)
0.655738 0.754989i \(-0.272358\pi\)
\(68\) −5.45952 5.45952i −0.662064 0.662064i
\(69\) −1.37567 + 4.59429i −0.165612 + 0.553088i
\(70\) −7.91898 + 3.21216i −0.946499 + 0.383926i
\(71\) −2.57260 + 2.96894i −0.305312 + 0.352348i −0.887584 0.460645i \(-0.847618\pi\)
0.582273 + 0.812993i \(0.302164\pi\)
\(72\) 0.977147 + 0.212565i 0.115158 + 0.0250511i
\(73\) 6.27093 + 4.69436i 0.733957 + 0.549434i 0.899580 0.436756i \(-0.143873\pi\)
−0.165623 + 0.986189i \(0.552963\pi\)
\(74\) −0.585043 1.28107i −0.0680099 0.148921i
\(75\) −4.93811 0.784252i −0.570204 0.0905576i
\(76\) −1.49111 5.07824i −0.171041 0.582514i
\(77\) −1.13319 5.20917i −0.129138 0.593640i
\(78\) −1.75777 4.71277i −0.199029 0.533616i
\(79\) 7.27596 + 2.13642i 0.818610 + 0.240366i 0.664117 0.747628i \(-0.268808\pi\)
0.154493 + 0.987994i \(0.450626\pi\)
\(80\) 1.99214 + 1.01557i 0.222728 + 0.113545i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) −3.13019 5.73251i −0.345671 0.633049i
\(83\) 8.24914 3.07677i 0.905461 0.337720i 0.146771 0.989171i \(-0.453112\pi\)
0.758691 + 0.651451i \(0.225839\pi\)
\(84\) 3.21505 + 2.06618i 0.350790 + 0.225439i
\(85\) 1.97162 17.1516i 0.213852 1.86035i
\(86\) −4.21857 0.606539i −0.454900 0.0654048i
\(87\) 2.07839 5.57238i 0.222827 0.597422i
\(88\) −0.835943 + 1.11669i −0.0891118 + 0.119039i
\(89\) −0.749222 + 0.481496i −0.0794174 + 0.0510384i −0.579747 0.814797i \(-0.696849\pi\)
0.500330 + 0.865835i \(0.333212\pi\)
\(90\) 0.986178 + 2.00685i 0.103952 + 0.211541i
\(91\) 19.2230i 2.01511i
\(92\) 4.78537 0.316604i 0.498909 0.0330083i
\(93\) 6.89579 6.89579i 0.715060 0.715060i
\(94\) −7.59352 6.57982i −0.783212 0.678657i
\(95\) 6.82085 9.67137i 0.699805 0.992262i
\(96\) −0.142315 0.989821i −0.0145249 0.101023i
\(97\) −4.59194 1.71270i −0.466241 0.173899i 0.105354 0.994435i \(-0.466402\pi\)
−0.571595 + 0.820536i \(0.693675\pi\)
\(98\) 4.55789 + 6.08862i 0.460416 + 0.615044i
\(99\) −1.33841 + 0.392994i −0.134516 + 0.0394973i
\(100\) 0.990888 + 4.90083i 0.0990888 + 0.490083i
\(101\) −6.92270 + 15.1586i −0.688835 + 1.50834i 0.164169 + 0.986432i \(0.447506\pi\)
−0.853003 + 0.521905i \(0.825221\pi\)
\(102\) −6.77649 + 3.70024i −0.670973 + 0.366379i
\(103\) −1.30717 + 18.2766i −0.128799 + 1.80085i 0.364721 + 0.931117i \(0.381164\pi\)
−0.493520 + 0.869734i \(0.664290\pi\)
\(104\) −3.80135 + 3.29389i −0.372753 + 0.322993i
\(105\) 0.851009 + 8.50317i 0.0830500 + 0.829825i
\(106\) −2.58229 1.17929i −0.250815 0.114543i
\(107\) 3.50380 0.762205i 0.338725 0.0736852i −0.0399855 0.999200i \(-0.512731\pi\)
0.378711 + 0.925515i \(0.376368\pi\)
\(108\) 0.479249 0.877679i 0.0461158 0.0844547i
\(109\) −1.71969 + 11.9607i −0.164717 + 1.14563i 0.724877 + 0.688878i \(0.241897\pi\)
−0.889594 + 0.456752i \(0.849013\pi\)
\(110\) −3.11788 + 0.0884134i −0.297278 + 0.00842989i
\(111\) −1.39400 + 0.200427i −0.132313 + 0.0190237i
\(112\) 0.812368 3.73439i 0.0767615 0.352867i
\(113\) −8.15955 + 0.583582i −0.767585 + 0.0548988i −0.449640 0.893210i \(-0.648448\pi\)
−0.317946 + 0.948109i \(0.602993\pi\)
\(114\) −5.29263 −0.495700
\(115\) 7.20724 + 7.94076i 0.672079 + 0.740480i
\(116\) −5.94736 −0.552199
\(117\) −5.01709 + 0.358830i −0.463831 + 0.0331738i
\(118\) 0.838083 3.85260i 0.0771518 0.354661i
\(119\) −29.2070 + 4.19933i −2.67740 + 0.384952i
\(120\) 1.53569 1.62532i 0.140188 0.148371i
\(121\) −1.28855 + 8.96205i −0.117141 + 0.814732i
\(122\) 0.915681 1.67694i 0.0829018 0.151823i
\(123\) −6.38218 + 1.38836i −0.575461 + 0.125184i
\(124\) −8.87084 4.05118i −0.796625 0.363806i
\(125\) −7.20557 + 8.54867i −0.644485 + 0.764617i
\(126\) 2.88827 2.50270i 0.257308 0.222958i
\(127\) 0.356283 4.98149i 0.0316150 0.442036i −0.956850 0.290584i \(-0.906150\pi\)
0.988465 0.151452i \(-0.0483950\pi\)
\(128\) −0.877679 + 0.479249i −0.0775766 + 0.0423600i
\(129\) −1.77048 + 3.87681i −0.155882 + 0.341334i
\(130\) −11.0535 2.07829i −0.969459 0.182278i
\(131\) 9.01082 2.64582i 0.787279 0.231166i 0.136708 0.990611i \(-0.456348\pi\)
0.650571 + 0.759445i \(0.274530\pi\)
\(132\) 0.835943 + 1.11669i 0.0727595 + 0.0971953i
\(133\) −18.9517 7.06861i −1.64332 0.612926i
\(134\) 1.64550 + 11.4447i 0.142149 + 0.988671i
\(135\) 2.20340 0.380835i 0.189638 0.0327771i
\(136\) 5.83508 + 5.05613i 0.500354 + 0.433560i
\(137\) 1.70416 1.70416i 0.145597 0.145597i −0.630551 0.776148i \(-0.717171\pi\)
0.776148 + 0.630551i \(0.217171\pi\)
\(138\) 1.04441 4.68073i 0.0889065 0.398450i
\(139\) 10.4039i 0.882443i 0.897398 + 0.441222i \(0.145455\pi\)
−0.897398 + 0.441222i \(0.854545\pi\)
\(140\) 7.66965 3.76891i 0.648204 0.318531i
\(141\) −8.45264 + 5.43218i −0.711840 + 0.457472i
\(142\) 2.35424 3.14490i 0.197564 0.263914i
\(143\) 2.45195 6.57393i 0.205042 0.549739i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −8.26819 10.4160i −0.686636 0.865000i
\(146\) −6.58985 4.23504i −0.545380 0.350494i
\(147\) 7.12610 2.65790i 0.587751 0.219220i
\(148\) 0.674943 + 1.23606i 0.0554799 + 0.101604i
\(149\) −9.78309 11.2903i −0.801462 0.924936i 0.196999 0.980404i \(-0.436881\pi\)
−0.998460 + 0.0554674i \(0.982335\pi\)
\(150\) 4.98148 + 0.429973i 0.406736 + 0.0351072i
\(151\) 17.5211 + 5.14465i 1.42585 + 0.418666i 0.901478 0.432826i \(-0.142483\pi\)
0.524368 + 0.851492i \(0.324302\pi\)
\(152\) 1.84958 + 4.95892i 0.150021 + 0.402222i
\(153\) 1.64120 + 7.54448i 0.132683 + 0.609935i
\(154\) 1.50192 + 5.11506i 0.121028 + 0.412183i
\(155\) −5.23741 21.1681i −0.420679 1.70026i
\(156\) 2.08950 + 4.57537i 0.167294 + 0.366323i
\(157\) −3.50993 2.62750i −0.280123 0.209697i 0.449973 0.893042i \(-0.351434\pi\)
−0.730096 + 0.683345i \(0.760525\pi\)
\(158\) −7.40984 1.61191i −0.589495 0.128237i
\(159\) −1.85904 + 2.14545i −0.147431 + 0.170145i
\(160\) −2.05951 0.870868i −0.162819 0.0688482i
\(161\) 9.99119 15.3657i 0.787416 1.21099i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 1.17486 + 16.4267i 0.0920223 + 1.28664i 0.808277 + 0.588802i \(0.200400\pi\)
−0.716255 + 0.697839i \(0.754145\pi\)
\(164\) 3.53116 + 5.49460i 0.275737 + 0.429056i
\(165\) −0.793575 + 3.01649i −0.0617797 + 0.234833i
\(166\) −8.00863 + 3.65742i −0.621590 + 0.283871i
\(167\) −10.8836 + 8.14738i −0.842201 + 0.630463i −0.930769 0.365607i \(-0.880862\pi\)
0.0885689 + 0.996070i \(0.471771\pi\)
\(168\) −3.35425 1.83156i −0.258786 0.141308i
\(169\) 6.64988 10.3474i 0.511529 0.795955i
\(170\) −0.743016 + 17.2485i −0.0569867 + 1.32290i
\(171\) −1.49111 + 5.07824i −0.114028 + 0.388343i
\(172\) 4.25109 + 0.304044i 0.324143 + 0.0231831i
\(173\) −11.8848 0.850021i −0.903588 0.0646259i −0.388193 0.921578i \(-0.626900\pi\)
−0.515396 + 0.856952i \(0.672355\pi\)
\(174\) −1.67557 + 5.70645i −0.127024 + 0.432605i
\(175\) 17.2633 + 8.19269i 1.30498 + 0.619309i
\(176\) 0.754149 1.17348i 0.0568461 0.0884543i
\(177\) −3.46043 1.88954i −0.260102 0.142026i
\(178\) 0.712964 0.533718i 0.0534389 0.0400038i
\(179\) 2.43174 1.11054i 0.181757 0.0830057i −0.322458 0.946584i \(-0.604509\pi\)
0.504215 + 0.863578i \(0.331782\pi\)
\(180\) −1.12683 1.93139i −0.0839891 0.143957i
\(181\) −8.67364 13.4965i −0.644707 1.00318i −0.997715 0.0675630i \(-0.978478\pi\)
0.353008 0.935620i \(-0.385159\pi\)
\(182\) 1.37135 + 19.1740i 0.101651 + 1.42127i
\(183\) −1.35104 1.35104i −0.0998717 0.0998717i
\(184\) −4.75059 + 0.657182i −0.350218 + 0.0484481i
\(185\) −1.22647 + 2.90048i −0.0901721 + 0.213248i
\(186\) −6.38628 + 7.37016i −0.468265 + 0.540406i
\(187\) −10.5239 2.28934i −0.769585 0.167413i
\(188\) 8.04357 + 6.02134i 0.586638 + 0.439152i
\(189\) −1.58760 3.47637i −0.115481 0.252869i
\(190\) −6.11353 + 10.1333i −0.443522 + 0.735148i
\(191\) 0.451628 + 1.53810i 0.0326786 + 0.111293i 0.974217 0.225612i \(-0.0724381\pi\)
−0.941539 + 0.336905i \(0.890620\pi\)
\(192\) 0.212565 + 0.977147i 0.0153406 + 0.0705195i
\(193\) −5.54786 14.8744i −0.399344 1.07068i −0.968622 0.248537i \(-0.920050\pi\)
0.569278 0.822145i \(-0.307223\pi\)
\(194\) 4.70242 + 1.38076i 0.337614 + 0.0991324i
\(195\) −5.10824 + 10.0203i −0.365809 + 0.717566i
\(196\) −4.98063 5.74796i −0.355759 0.410568i
\(197\) 2.39927 + 4.39393i 0.170941 + 0.313054i 0.949079 0.315039i \(-0.102018\pi\)
−0.778138 + 0.628093i \(0.783836\pi\)
\(198\) 1.30697 0.487474i 0.0928821 0.0346432i
\(199\) 11.1390 + 7.15862i 0.789625 + 0.507461i 0.872215 0.489122i \(-0.162683\pi\)
−0.0825900 + 0.996584i \(0.526319\pi\)
\(200\) −1.33798 4.81765i −0.0946098 0.340660i
\(201\) 11.4447 + 1.64550i 0.807247 + 0.116065i
\(202\) 5.82366 15.6138i 0.409751 1.09859i
\(203\) −13.6211 + 18.1957i −0.956015 + 1.27709i
\(204\) 6.49525 4.17425i 0.454759 0.292256i
\(205\) −4.71391 + 13.8231i −0.329233 + 0.965446i
\(206\) 18.3233i 1.27665i
\(207\) −4.19688 2.32082i −0.291703 0.161308i
\(208\) 3.55668 3.55668i 0.246612 0.246612i
\(209\) −5.57953 4.83469i −0.385944 0.334422i
\(210\) −1.45545 8.42080i −0.100436 0.581090i
\(211\) −0.908813 6.32093i −0.0625653 0.435151i −0.996895 0.0787414i \(-0.974910\pi\)
0.934330 0.356410i \(-0.115999\pi\)
\(212\) 2.65984 + 0.992071i 0.182679 + 0.0681357i
\(213\) −2.35424 3.14490i −0.161310 0.215485i
\(214\) −3.44050 + 1.01022i −0.235188 + 0.0690573i
\(215\) 5.37749 + 7.86789i 0.366742 + 0.536586i
\(216\) −0.415415 + 0.909632i −0.0282654 + 0.0618926i
\(217\) −32.7111 + 17.8616i −2.22057 + 1.21252i
\(218\) 0.862043 12.0529i 0.0583849 0.816328i
\(219\) −5.92006 + 5.12976i −0.400041 + 0.346637i
\(220\) 3.10363 0.310615i 0.209246 0.0209417i
\(221\) −35.3261 16.1329i −2.37629 1.08521i
\(222\) 1.37615 0.299363i 0.0923611 0.0200919i
\(223\) 12.1577 22.2653i 0.814143 1.49099i −0.0561306 0.998423i \(-0.517876\pi\)
0.870274 0.492568i \(-0.163942\pi\)
\(224\) −0.543889 + 3.78283i −0.0363401 + 0.252751i
\(225\) 1.81600 4.65856i 0.121067 0.310570i
\(226\) 8.09712 1.16419i 0.538613 0.0774408i
\(227\) 3.85164 17.7057i 0.255642 1.17517i −0.652923 0.757425i \(-0.726457\pi\)
0.908565 0.417744i \(-0.137179\pi\)
\(228\) 5.27914 0.377572i 0.349620 0.0250053i
\(229\) 0.366279 0.0242044 0.0121022 0.999927i \(-0.496148\pi\)
0.0121022 + 0.999927i \(0.496148\pi\)
\(230\) −7.75537 7.40637i −0.511374 0.488362i
\(231\) 5.33100 0.350754
\(232\) 5.93221 0.424280i 0.389469 0.0278553i
\(233\) −4.60301 + 21.1597i −0.301553 + 1.38622i 0.538001 + 0.842944i \(0.319180\pi\)
−0.839555 + 0.543275i \(0.817184\pi\)
\(234\) 4.97871 0.715831i 0.325469 0.0467953i
\(235\) 0.636847 + 22.4582i 0.0415433 + 1.46501i
\(236\) −0.561106 + 3.90258i −0.0365249 + 0.254036i
\(237\) −3.63421 + 6.65556i −0.236067 + 0.432325i
\(238\) 28.8330 6.27223i 1.86896 0.406568i
\(239\) 13.2378 + 6.04551i 0.856284 + 0.391052i 0.794665 0.607048i \(-0.207646\pi\)
0.0616189 + 0.998100i \(0.480374\pi\)
\(240\) −1.41582 + 1.73074i −0.0913910 + 0.111718i
\(241\) −17.1441 + 14.8555i −1.10435 + 0.956926i −0.999295 0.0375404i \(-0.988048\pi\)
−0.105056 + 0.994466i \(0.533502\pi\)
\(242\) 0.645920 9.03114i 0.0415213 0.580543i
\(243\) −0.877679 + 0.479249i −0.0563031 + 0.0307438i
\(244\) −0.793716 + 1.73800i −0.0508124 + 0.111264i
\(245\) 3.14254 16.7139i 0.200769 1.06781i
\(246\) 6.26687 1.84012i 0.399561 0.117322i
\(247\) −15.9536 21.3116i −1.01511 1.35602i
\(248\) 9.13724 + 3.40801i 0.580215 + 0.216409i
\(249\) 1.25298 + 8.71464i 0.0794041 + 0.552268i
\(250\) 6.57735 9.04093i 0.415988 0.571799i
\(251\) −15.6793 13.5862i −0.989668 0.857552i 0.000134070 1.00000i \(-0.499957\pi\)
−0.989802 + 0.142448i \(0.954503\pi\)
\(252\) −2.70237 + 2.70237i −0.170233 + 0.170233i
\(253\) 5.37676 3.98041i 0.338034 0.250246i
\(254\) 4.99422i 0.313365i
\(255\) 16.3405 + 5.57239i 1.02328 + 0.348956i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −0.528538 + 0.706045i −0.0329693 + 0.0440419i −0.816723 0.577030i \(-0.804212\pi\)
0.783754 + 0.621072i \(0.213302\pi\)
\(258\) 1.48940 3.99323i 0.0927259 0.248608i
\(259\) 5.32749 + 0.765977i 0.331034 + 0.0475955i
\(260\) 11.1736 + 1.28444i 0.692960 + 0.0796576i
\(261\) 5.00324 + 3.21539i 0.309693 + 0.199027i
\(262\) −8.79911 + 3.28190i −0.543611 + 0.202756i
\(263\) −9.83056 18.0033i −0.606178 1.11013i −0.982958 0.183829i \(-0.941151\pi\)
0.376780 0.926303i \(-0.377031\pi\)
\(264\) −0.913477 1.05421i −0.0562206 0.0648820i
\(265\) 1.96031 + 6.03755i 0.120421 + 0.370884i
\(266\) 19.4077 + 5.69860i 1.18996 + 0.349404i
\(267\) −0.311233 0.834449i −0.0190472 0.0510675i
\(268\) −2.45776 11.2981i −0.150132 0.690144i
\(269\) −5.70171 19.4183i −0.347640 1.18395i −0.928930 0.370256i \(-0.879270\pi\)
0.581290 0.813696i \(-0.302548\pi\)
\(270\) −2.17062 + 0.537054i −0.132099 + 0.0326840i
\(271\) −0.723593 1.58445i −0.0439552 0.0962484i 0.886381 0.462957i \(-0.153212\pi\)
−0.930336 + 0.366709i \(0.880484\pi\)
\(272\) −6.18092 4.62698i −0.374773 0.280552i
\(273\) 18.7837 + 4.08614i 1.13684 + 0.247304i
\(274\) −1.57825 + 1.82140i −0.0953455 + 0.110035i
\(275\) 4.85874 + 5.00374i 0.292993 + 0.301737i
\(276\) −0.707835 + 4.74331i −0.0426066 + 0.285514i
\(277\) 18.8888 + 18.8888i 1.13492 + 1.13492i 0.989348 + 0.145567i \(0.0465008\pi\)
0.145567 + 0.989348i \(0.453499\pi\)
\(278\) −0.742202 10.3773i −0.0445143 0.622392i
\(279\) 5.27239 + 8.20400i 0.315650 + 0.491161i
\(280\) −7.38124 + 4.30645i −0.441113 + 0.257360i
\(281\) 27.0868 12.3701i 1.61586 0.737939i 0.617061 0.786915i \(-0.288323\pi\)
0.998800 + 0.0489760i \(0.0155958\pi\)
\(282\) 8.04357 6.02134i 0.478988 0.358566i
\(283\) 11.5498 + 6.30665i 0.686562 + 0.374891i 0.784352 0.620316i \(-0.212996\pi\)
−0.0977901 + 0.995207i \(0.531177\pi\)
\(284\) −2.12389 + 3.30484i −0.126030 + 0.196106i
\(285\) 8.00047 + 8.72077i 0.473907 + 0.516574i
\(286\) −1.97672 + 6.73210i −0.116886 + 0.398077i
\(287\) 24.8978 + 1.78073i 1.46967 + 0.105113i
\(288\) 0.997452 + 0.0713392i 0.0587754 + 0.00420370i
\(289\) −12.0054 + 40.8866i −0.706199 + 2.40509i
\(290\) 8.99019 + 9.79960i 0.527922 + 0.575452i
\(291\) 2.64965 4.12294i 0.155325 0.241691i
\(292\) 6.87518 + 3.75413i 0.402340 + 0.219694i
\(293\) 1.66489 1.24632i 0.0972637 0.0728107i −0.549539 0.835468i \(-0.685197\pi\)
0.646803 + 0.762657i \(0.276106\pi\)
\(294\) −6.91833 + 3.15950i −0.403485 + 0.184265i
\(295\) −7.61489 + 4.44277i −0.443356 + 0.258668i
\(296\) −0.761403 1.18477i −0.0442556 0.0688631i
\(297\) −0.0995123 1.39136i −0.00577429 0.0807351i
\(298\) 10.5636 + 10.5636i 0.611933 + 0.611933i
\(299\) 21.9958 9.90368i 1.27205 0.572745i
\(300\) −4.99946 0.0735031i −0.288644 0.00424370i
\(301\) 10.6664 12.3097i 0.614801 0.709518i
\(302\) −17.8435 3.88161i −1.02678 0.223361i
\(303\) −13.3407 9.98669i −0.766401 0.573720i
\(304\) −2.19864 4.81434i −0.126100 0.276121i
\(305\) −4.14730 + 1.02613i −0.237474 + 0.0587558i
\(306\) −2.17524 7.40817i −0.124350 0.423497i
\(307\) −1.27353 5.85432i −0.0726841 0.334123i 0.926418 0.376497i \(-0.122872\pi\)
−0.999102 + 0.0423738i \(0.986508\pi\)
\(308\) −1.86299 4.99488i −0.106154 0.284610i
\(309\) −17.5811 5.16228i −1.00015 0.293672i
\(310\) 6.73418 + 20.7405i 0.382476 + 1.17798i
\(311\) 12.3051 + 14.2008i 0.697758 + 0.805256i 0.988448 0.151562i \(-0.0484302\pi\)
−0.290690 + 0.956817i \(0.593885\pi\)
\(312\) −2.41058 4.41465i −0.136472 0.249930i
\(313\) 9.08601 3.38891i 0.513572 0.191552i −0.0792976 0.996851i \(-0.525268\pi\)
0.592869 + 0.805299i \(0.297995\pi\)
\(314\) 3.68843 + 2.37041i 0.208150 + 0.133770i
\(315\) −8.48974 0.975919i −0.478343 0.0549868i
\(316\) 7.50595 + 1.07919i 0.422243 + 0.0607093i
\(317\) 4.77226 12.7949i 0.268037 0.718634i −0.731294 0.682062i \(-0.761083\pi\)
0.999331 0.0365721i \(-0.0116439\pi\)
\(318\) 1.70125 2.27260i 0.0954013 0.127441i
\(319\) −6.97911 + 4.48520i −0.390755 + 0.251123i
\(320\) 2.11639 + 0.721725i 0.118310 + 0.0403457i
\(321\) 3.58575i 0.200137i
\(322\) −8.86956 + 16.0393i −0.494281 + 0.893838i
\(323\) −28.8952 + 28.8952i −1.60777 + 1.60777i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) 13.2844 + 21.3547i 0.736885 + 1.18455i
\(326\) −2.34374 16.3011i −0.129808 0.902832i
\(327\) −11.3218 4.22283i −0.626099 0.233523i
\(328\) −3.91415 5.22869i −0.216123 0.288706i
\(329\) 36.8440 10.8184i 2.03128 0.596437i
\(330\) 0.576359 3.06542i 0.0317275 0.168746i
\(331\) −6.46452 + 14.1553i −0.355322 + 0.778047i 0.644586 + 0.764531i \(0.277030\pi\)
−0.999909 + 0.0135156i \(0.995698\pi\)
\(332\) 7.72731 4.21943i 0.424091 0.231571i
\(333\) 0.100469 1.40475i 0.00550569 0.0769796i
\(334\) 10.2747 8.90305i 0.562205 0.487153i
\(335\) 16.3703 20.0114i 0.894405 1.09334i
\(336\) 3.47637 + 1.58760i 0.189652 + 0.0866109i
\(337\) 9.37096 2.03853i 0.510469 0.111046i 0.0500486 0.998747i \(-0.484062\pi\)
0.460420 + 0.887701i \(0.347699\pi\)
\(338\) −5.89476 + 10.7954i −0.320633 + 0.587195i
\(339\) 1.16419 8.09712i 0.0632302 0.439775i
\(340\) −0.489372 17.2576i −0.0265399 0.935923i
\(341\) −13.4649 + 1.93596i −0.729167 + 0.104838i
\(342\) 1.12503 5.17167i 0.0608346 0.279652i
\(343\) −2.30868 + 0.165120i −0.124657 + 0.00891564i
\(344\) −4.26195 −0.229789
\(345\) −9.29130 + 5.35460i −0.500227 + 0.288282i
\(346\) 11.9152 0.640565
\(347\) 4.10504 0.293598i 0.220370 0.0157612i 0.0392823 0.999228i \(-0.487493\pi\)
0.181087 + 0.983467i \(0.442038\pi\)
\(348\) 1.26420 5.81145i 0.0677684 0.311526i
\(349\) 16.7696 2.41111i 0.897658 0.129064i 0.321986 0.946745i \(-0.395650\pi\)
0.575672 + 0.817681i \(0.304741\pi\)
\(350\) −17.8038 6.94027i −0.951651 0.370973i
\(351\) 0.715831 4.97871i 0.0382082 0.265744i
\(352\) −0.668513 + 1.22429i −0.0356318 + 0.0652549i
\(353\) 9.16815 1.99441i 0.487971 0.106152i 0.0381533 0.999272i \(-0.487852\pi\)
0.449818 + 0.893120i \(0.351489\pi\)
\(354\) 3.58641 + 1.63786i 0.190616 + 0.0870513i
\(355\) −8.74066 + 0.874777i −0.463906 + 0.0464283i
\(356\) −0.673072 + 0.583220i −0.0356727 + 0.0309106i
\(357\) 2.10503 29.4321i 0.111410 1.55771i
\(358\) −2.34632 + 1.28119i −0.124007 + 0.0677130i
\(359\) 9.75099 21.3517i 0.514638 1.12690i −0.456792 0.889573i \(-0.651002\pi\)
0.971430 0.237326i \(-0.0762710\pi\)
\(360\) 1.26174 + 1.84608i 0.0664998 + 0.0972968i
\(361\) −8.64684 + 2.53894i −0.455097 + 0.133629i
\(362\) 9.61437 + 12.8433i 0.505320 + 0.675028i
\(363\) −8.48334 3.16412i −0.445260 0.166073i
\(364\) −2.73571 19.0273i −0.143390 0.997302i
\(365\) 2.98322 + 17.2600i 0.156149 + 0.903431i
\(366\) 1.44398 + 1.25121i 0.0754780 + 0.0654020i
\(367\) 6.63213 6.63213i 0.346194 0.346194i −0.512496 0.858690i \(-0.671279\pi\)
0.858690 + 0.512496i \(0.171279\pi\)
\(368\) 4.69160 0.994411i 0.244567 0.0518372i
\(369\) 6.53144i 0.340013i
\(370\) 1.01643 2.98059i 0.0528417 0.154953i
\(371\) 9.12698 5.86555i 0.473849 0.304524i
\(372\) 5.84422 7.80697i 0.303009 0.404773i
\(373\) 2.57103 6.89321i 0.133123 0.356917i −0.853236 0.521525i \(-0.825363\pi\)
0.986359 + 0.164608i \(0.0526360\pi\)
\(374\) 10.6604 + 1.53274i 0.551238 + 0.0792560i
\(375\) −6.82166 8.85805i −0.352269 0.457428i
\(376\) −8.45264 5.43218i −0.435911 0.280143i
\(377\) −28.0286 + 10.4541i −1.44354 + 0.538414i
\(378\) 1.83156 + 3.35425i 0.0942053 + 0.172524i
\(379\) −1.91720 2.21257i −0.0984800 0.113652i 0.704370 0.709833i \(-0.251230\pi\)
−0.802850 + 0.596181i \(0.796684\pi\)
\(380\) 5.37505 10.5436i 0.275734 0.540877i
\(381\) 4.79192 + 1.40703i 0.245497 + 0.0720845i
\(382\) −0.560204 1.50196i −0.0286625 0.0768472i
\(383\) 2.75654 + 12.6716i 0.140852 + 0.647488i 0.992384 + 0.123184i \(0.0393107\pi\)
−0.851531 + 0.524304i \(0.824326\pi\)
\(384\) −0.281733 0.959493i −0.0143771 0.0489639i
\(385\) 6.15785 10.2068i 0.313833 0.520186i
\(386\) 6.59485 + 14.4407i 0.335669 + 0.735013i
\(387\) −3.41187 2.55409i −0.173435 0.129832i
\(388\) −4.78894 1.04177i −0.243122 0.0528879i
\(389\) −12.1918 + 14.0701i −0.618148 + 0.713381i −0.975354 0.220645i \(-0.929184\pi\)
0.357206 + 0.934026i \(0.383729\pi\)
\(390\) 4.38039 10.3592i 0.221810 0.524556i
\(391\) −19.8525 31.2565i −1.00398 1.58071i
\(392\) 5.37800 + 5.37800i 0.271630 + 0.271630i
\(393\) 0.669963 + 9.36731i 0.0337952 + 0.472518i
\(394\) −2.70661 4.21157i −0.136357 0.212176i
\(395\) 8.54492 + 14.6460i 0.429942 + 0.736918i
\(396\) −1.26886 + 0.579470i −0.0637627 + 0.0291194i
\(397\) 5.79943 4.34140i 0.291065 0.217889i −0.443759 0.896146i \(-0.646356\pi\)
0.734824 + 0.678257i \(0.237265\pi\)
\(398\) −11.6213 6.34573i −0.582525 0.318083i
\(399\) 10.9355 17.0160i 0.547462 0.851867i
\(400\) 1.67826 + 4.70993i 0.0839132 + 0.235496i
\(401\) −3.07335 + 10.4669i −0.153476 + 0.522690i −0.999953 0.00973520i \(-0.996901\pi\)
0.846477 + 0.532425i \(0.178719\pi\)
\(402\) −11.5329 0.824851i −0.575210 0.0411398i
\(403\) −48.9273 3.49935i −2.43724 0.174315i
\(404\) −4.69495 + 15.9895i −0.233582 + 0.795508i
\(405\) −0.0962341 + 2.23400i −0.00478191 + 0.111008i
\(406\) 12.2883 19.1210i 0.609860 0.948961i
\(407\) 1.72421 + 0.941489i 0.0854658 + 0.0466679i
\(408\) −6.18092 + 4.62698i −0.306001 + 0.229070i
\(409\) 32.8264 14.9913i 1.62316 0.741272i 0.623967 0.781451i \(-0.285520\pi\)
0.999193 + 0.0401786i \(0.0127927\pi\)
\(410\) 3.71577 14.1241i 0.183509 0.697542i
\(411\) 1.30297 + 2.02746i 0.0642709 + 0.100007i
\(412\) 1.30717 + 18.2766i 0.0643997 + 0.900426i
\(413\) 10.6547 + 10.6547i 0.524282 + 0.524282i
\(414\) 4.35175 + 2.01551i 0.213877 + 0.0990567i
\(415\) 18.1325 + 7.66735i 0.890088 + 0.376375i
\(416\) −3.29389 + 3.80135i −0.161496 + 0.186377i
\(417\) −10.1661 2.21150i −0.497836 0.108297i
\(418\) 5.91022 + 4.42433i 0.289078 + 0.216401i
\(419\) −6.92937 15.1732i −0.338522 0.741259i 0.661440 0.749998i \(-0.269946\pi\)
−0.999962 + 0.00873890i \(0.997218\pi\)
\(420\) 2.05247 + 8.29551i 0.100151 + 0.404780i
\(421\) 10.3965 + 35.4072i 0.506694 + 1.72564i 0.673071 + 0.739578i \(0.264975\pi\)
−0.166377 + 0.986062i \(0.553207\pi\)
\(422\) 1.35743 + 6.24000i 0.0660786 + 0.303758i
\(423\) −3.51130 9.41416i −0.170725 0.457732i
\(424\) −2.72384 0.799792i −0.132281 0.0388413i
\(425\) 29.5439 24.8490i 1.43309 1.20535i
\(426\) 2.57260 + 2.96894i 0.124643 + 0.143846i
\(427\) 3.49949 + 6.40883i 0.169352 + 0.310145i
\(428\) 3.35966 1.25309i 0.162395 0.0605704i
\(429\) 5.90249 + 3.79330i 0.284975 + 0.183142i
\(430\) −5.92508 7.46422i −0.285733 0.359957i
\(431\) −19.0513 2.73916i −0.917667 0.131941i −0.332733 0.943021i \(-0.607971\pi\)
−0.584934 + 0.811081i \(0.698880\pi\)
\(432\) 0.349464 0.936950i 0.0168136 0.0450790i
\(433\) −6.34554 + 8.47665i −0.304947 + 0.407362i −0.926670 0.375875i \(-0.877342\pi\)
0.621723 + 0.783237i \(0.286433\pi\)
\(434\) 31.3535 20.1497i 1.50502 0.967215i
\(435\) 11.9355 5.86516i 0.572262 0.281213i
\(436\) 12.0837i 0.578706i
\(437\) −1.67567 25.3272i −0.0801581 1.21156i
\(438\) 5.53903 5.53903i 0.264665 0.264665i
\(439\) −15.0857 13.0718i −0.720002 0.623885i 0.215789 0.976440i \(-0.430768\pi\)
−0.935791 + 0.352555i \(0.885313\pi\)
\(440\) −3.07356 + 0.531234i −0.146526 + 0.0253256i
\(441\) 1.08239 + 7.52822i 0.0515426 + 0.358487i
\(442\) 36.3870 + 13.5716i 1.73075 + 0.645537i
\(443\) −2.64784 3.53709i −0.125802 0.168052i 0.733218 0.679994i \(-0.238017\pi\)
−0.859020 + 0.511941i \(0.828927\pi\)
\(444\) −1.35129 + 0.396773i −0.0641292 + 0.0188300i
\(445\) −1.95715 0.367984i −0.0927779 0.0174441i
\(446\) −10.5384 + 23.0759i −0.499007 + 1.09267i
\(447\) 13.1118 7.15959i 0.620168 0.338637i
\(448\) 0.272639 3.81199i 0.0128810 0.180100i
\(449\) −18.6300 + 16.1430i −0.879206 + 0.761837i −0.972279 0.233823i \(-0.924877\pi\)
0.0930729 + 0.995659i \(0.470331\pi\)
\(450\) −1.47904 + 4.77624i −0.0697224 + 0.225154i
\(451\) 8.28749 + 3.78477i 0.390243 + 0.178218i
\(452\) −7.99344 + 1.73887i −0.375980 + 0.0817894i
\(453\) −8.75146 + 16.0271i −0.411179 + 0.753019i
\(454\) −2.57872 + 17.9354i −0.121025 + 0.841748i
\(455\) 29.5204 31.2435i 1.38394 1.46472i
\(456\) −5.23875 + 0.753219i −0.245327 + 0.0352727i
\(457\) −1.00485 + 4.61921i −0.0470048 + 0.216078i −0.994658 0.103223i \(-0.967084\pi\)
0.947653 + 0.319301i \(0.103448\pi\)
\(458\) −0.365346 + 0.0261300i −0.0170715 + 0.00122098i
\(459\) −7.72092 −0.360382
\(460\) 8.26397 + 6.83424i 0.385310 + 0.318648i
\(461\) −12.8598 −0.598939 −0.299469 0.954106i \(-0.596810\pi\)
−0.299469 + 0.954106i \(0.596810\pi\)
\(462\) −5.31742 + 0.380309i −0.247389 + 0.0176936i
\(463\) 4.81774 22.1468i 0.223899 1.02925i −0.718700 0.695321i \(-0.755262\pi\)
0.942599 0.333927i \(-0.108374\pi\)
\(464\) −5.88683 + 0.846398i −0.273289 + 0.0392930i
\(465\) 21.7976 0.618114i 1.01084 0.0286644i
\(466\) 3.08177 21.4342i 0.142760 0.992919i
\(467\) −19.3978 + 35.5244i −0.897622 + 1.64387i −0.141009 + 0.990008i \(0.545035\pi\)
−0.756613 + 0.653863i \(0.773147\pi\)
\(468\) −4.91496 + 1.06918i −0.227194 + 0.0494231i
\(469\) −40.1951 18.3565i −1.85604 0.847624i
\(470\) −2.23738 22.3556i −0.103202 1.03119i
\(471\) 3.31354 2.87120i 0.152680 0.132298i
\(472\) 0.281270 3.93266i 0.0129465 0.181015i
\(473\) 5.21786 2.84917i 0.239918 0.131005i
\(474\) 3.15015 6.89786i 0.144691 0.316829i
\(475\) 25.9383 5.24440i 1.19013 0.240630i
\(476\) −28.3120 + 8.31317i −1.29768 + 0.381033i
\(477\) −1.70125 2.27260i −0.0778949 0.104055i
\(478\) −13.6354 5.08574i −0.623668 0.232616i
\(479\) 0.331832 + 2.30795i 0.0151618 + 0.105453i 0.995997 0.0893864i \(-0.0284906\pi\)
−0.980835 + 0.194839i \(0.937582\pi\)
\(480\) 1.28875 1.82733i 0.0588230 0.0834058i
\(481\) 5.35357 + 4.63890i 0.244102 + 0.211515i
\(482\) 16.0407 16.0407i 0.730633 0.730633i
\(483\) 12.8908 + 13.0291i 0.586551 + 0.592844i
\(484\) 9.05421i 0.411555i
\(485\) −4.83320 9.83547i −0.219464 0.446605i
\(486\) 0.841254 0.540641i 0.0381600 0.0245240i
\(487\) −9.54385 + 12.7491i −0.432473 + 0.577717i −0.962847 0.270047i \(-0.912961\pi\)
0.530374 + 0.847764i \(0.322052\pi\)
\(488\) 0.667706 1.79019i 0.0302256 0.0810381i
\(489\) −16.3011 2.34374i −0.737159 0.105988i
\(490\) −1.94218 + 16.8955i −0.0877386 + 0.763259i
\(491\) −31.8873 20.4927i −1.43905 0.924823i −0.999648 0.0265345i \(-0.991553\pi\)
−0.439405 0.898289i \(-0.644811\pi\)
\(492\) −6.11963 + 2.28250i −0.275894 + 0.102903i
\(493\) 22.0067 + 40.3023i 0.991132 + 1.81512i
\(494\) 17.4333 + 20.1191i 0.784363 + 0.905203i
\(495\) −2.77887 1.41664i −0.124901 0.0636733i
\(496\) −9.35709 2.74749i −0.420146 0.123366i
\(497\) 5.24670 + 14.0670i 0.235347 + 0.630989i
\(498\) −1.87148 8.60305i −0.0838630 0.385512i
\(499\) 1.34884 + 4.59374i 0.0603826 + 0.205644i 0.984159 0.177288i \(-0.0567324\pi\)
−0.923776 + 0.382932i \(0.874914\pi\)
\(500\) −5.91562 + 9.48712i −0.264555 + 0.424277i
\(501\) −5.64771 12.3668i −0.252321 0.552506i
\(502\) 16.6086 + 12.4330i 0.741277 + 0.554913i
\(503\) 9.99707 + 2.17473i 0.445748 + 0.0969664i 0.429836 0.902907i \(-0.358571\pi\)
0.0159115 + 0.999873i \(0.494935\pi\)
\(504\) 2.50270 2.88827i 0.111479 0.128654i
\(505\) −34.5305 + 14.0065i −1.53659 + 0.623282i
\(506\) −5.07911 + 4.35384i −0.225794 + 0.193552i
\(507\) 8.69741 + 8.69741i 0.386265 + 0.386265i
\(508\) −0.356283 4.98149i −0.0158075 0.221018i
\(509\) −15.0692 23.4482i −0.667932 1.03932i −0.995525 0.0945033i \(-0.969874\pi\)
0.327593 0.944819i \(-0.393763\pi\)
\(510\) −16.6964 4.39247i −0.739329 0.194502i
\(511\) 27.2317 12.4363i 1.20466 0.550149i
\(512\) −0.800541 + 0.599278i −0.0353793 + 0.0264846i
\(513\) −4.64523 2.53649i −0.205092 0.111989i
\(514\) 0.476823 0.741951i 0.0210318 0.0327261i
\(515\) −30.1917 + 27.6980i −1.33041 + 1.22052i
\(516\) −1.20073 + 4.08931i −0.0528592 + 0.180022i
\(517\) 13.9800 + 0.999866i 0.614838 + 0.0439741i
\(518\) −5.36856 0.383967i −0.235881 0.0168705i
\(519\) 3.35690 11.4326i 0.147352 0.501833i
\(520\) −11.2368 0.484049i −0.492766 0.0212269i
\(521\) 5.91309 9.20095i 0.259057 0.403101i −0.687224 0.726446i \(-0.741171\pi\)
0.946281 + 0.323345i \(0.104807\pi\)
\(522\) −5.21987 2.85027i −0.228468 0.124753i
\(523\) −5.42156 + 4.05853i −0.237068 + 0.177467i −0.711206 0.702983i \(-0.751851\pi\)
0.474138 + 0.880451i \(0.342760\pi\)
\(524\) 8.54257 3.90126i 0.373184 0.170427i
\(525\) −11.6750 + 15.1273i −0.509540 + 0.660208i
\(526\) 11.0899 + 17.2561i 0.483540 + 0.752404i
\(527\) 5.37151 + 75.1035i 0.233987 + 3.27156i
\(528\) 0.986355 + 0.986355i 0.0429256 + 0.0429256i
\(529\) 22.7297 + 3.51597i 0.988247 + 0.152868i
\(530\) −2.38603 5.88232i −0.103643 0.255512i
\(531\) 2.58192 2.97970i 0.112046 0.129308i
\(532\) −19.7647 4.29956i −0.856910 0.186409i
\(533\) 26.2998 + 19.6878i 1.13917 + 0.852773i
\(534\) 0.369969 + 0.810120i 0.0160101 + 0.0350573i
\(535\) 6.86531 + 4.14191i 0.296813 + 0.179070i
\(536\) 3.25750 + 11.0940i 0.140703 + 0.479189i
\(537\) 0.568257 + 2.61223i 0.0245221 + 0.112726i
\(538\) 7.07247 + 18.9620i 0.304916 + 0.817511i
\(539\) −10.1795 2.98897i −0.438461 0.128744i
\(540\) 2.12677 0.690535i 0.0915217 0.0297159i
\(541\) 18.6433 + 21.5155i 0.801538 + 0.925024i 0.998465 0.0553944i \(-0.0176416\pi\)
−0.196927 + 0.980418i \(0.563096\pi\)
\(542\) 0.834783 + 1.52879i 0.0358570 + 0.0656672i
\(543\) 15.0317 5.60655i 0.645073 0.240600i
\(544\) 6.49525 + 4.17425i 0.278482 + 0.178969i
\(545\) −21.1630 + 16.7991i −0.906522 + 0.719596i
\(546\) −19.0273 2.73571i −0.814293 0.117078i
\(547\) −8.33951 + 22.3591i −0.356572 + 0.956006i 0.627560 + 0.778568i \(0.284054\pi\)
−0.984132 + 0.177438i \(0.943219\pi\)
\(548\) 1.44429 1.92935i 0.0616970 0.0824176i
\(549\) 1.60735 1.03298i 0.0685999 0.0440865i
\(550\) −5.20333 4.64438i −0.221871 0.198037i
\(551\) 31.4772i 1.34097i
\(552\) 0.367647 4.78172i 0.0156481 0.203523i
\(553\) 20.4925 20.4925i 0.871428 0.871428i
\(554\) −20.1881 17.4931i −0.857712 0.743212i
\(555\) −2.57349 1.81499i −0.109239 0.0770418i
\(556\) 1.48062 + 10.2980i 0.0627924 + 0.436731i
\(557\) 15.8337 + 5.90566i 0.670894 + 0.250231i 0.661747 0.749727i \(-0.269815\pi\)
0.00914772 + 0.999958i \(0.497088\pi\)
\(558\) −5.84422 7.80697i −0.247406 0.330495i
\(559\) 20.5689 6.03956i 0.869970 0.255446i
\(560\) 7.05521 4.82205i 0.298137 0.203769i
\(561\) 4.47404 9.79678i 0.188894 0.413620i
\(562\) −26.1353 + 14.2709i −1.10245 + 0.601983i
\(563\) 1.49737 20.9360i 0.0631068 0.882348i −0.863028 0.505156i \(-0.831435\pi\)
0.926135 0.377192i \(-0.123110\pi\)
\(564\) −7.59352 + 6.57982i −0.319745 + 0.277061i
\(565\) −14.1581 11.5820i −0.595635 0.487258i
\(566\) −11.9702 5.46663i −0.503147 0.229779i
\(567\) 3.73439 0.812368i 0.156830 0.0341162i
\(568\) 1.88272 3.44794i 0.0789970 0.144672i
\(569\) 1.18212 8.22183i 0.0495571 0.344677i −0.949924 0.312480i \(-0.898840\pi\)
0.999482 0.0321973i \(-0.0102505\pi\)
\(570\) −8.60222 8.12781i −0.360307 0.340436i
\(571\) −1.91743 + 0.275685i −0.0802420 + 0.0115371i −0.182319 0.983239i \(-0.558360\pi\)
0.102077 + 0.994777i \(0.467451\pi\)
\(572\) 1.49142 6.85596i 0.0623596 0.286662i
\(573\) −1.59895 + 0.114359i −0.0667972 + 0.00477743i
\(574\) −24.9614 −1.04187
\(575\) −0.480423 + 23.9743i −0.0200350 + 0.999799i
\(576\) −1.00000 −0.0416667
\(577\) −6.39062 + 0.457066i −0.266045 + 0.0190279i −0.203724 0.979028i \(-0.565305\pi\)
−0.0623206 + 0.998056i \(0.519850\pi\)
\(578\) 9.05797 41.6388i 0.376762 1.73195i
\(579\) 15.7137 2.25930i 0.653041 0.0938931i
\(580\) −9.66638 9.13328i −0.401374 0.379239i
\(581\) 4.78854 33.3050i 0.198662 1.38173i
\(582\) −2.34877 + 4.30145i −0.0973597 + 0.178301i
\(583\) 3.86944 0.841745i 0.160256 0.0348615i
\(584\) −7.12548 3.25410i −0.294855 0.134656i
\(585\) −8.70544 7.12146i −0.359926 0.294436i
\(586\) −1.57173 + 1.36191i −0.0649277 + 0.0562602i
\(587\) 2.26704 31.6974i 0.0935709 1.30829i −0.706211 0.708002i \(-0.749597\pi\)
0.799782 0.600291i \(-0.204949\pi\)
\(588\) 6.67531 3.64499i 0.275285 0.150317i
\(589\) −21.4414 + 46.9500i −0.883476 + 1.93454i
\(590\) 7.27854 4.97469i 0.299653 0.204805i
\(591\) −4.80351 + 1.41044i −0.197590 + 0.0580177i
\(592\) 0.843983 + 1.12743i 0.0346875 + 0.0463371i
\(593\) −44.5759 16.6259i −1.83051 0.682745i −0.990021 0.140918i \(-0.954995\pi\)
−0.840490 0.541827i \(-0.817733\pi\)
\(594\) 0.198517 + 1.38072i 0.00814527 + 0.0566516i
\(595\) −53.9196 38.0274i −2.21049 1.55897i
\(596\) −11.2903 9.78309i −0.462468 0.400731i
\(597\) −9.36280 + 9.36280i −0.383194 + 0.383194i
\(598\) −21.2333 + 11.4476i −0.868293 + 0.468128i
\(599\) 2.85376i 0.116601i 0.998299 + 0.0583007i \(0.0185682\pi\)
−0.998299 + 0.0583007i \(0.981432\pi\)
\(600\) 4.99197 0.283342i 0.203796 0.0115674i
\(601\) −31.1743 + 20.0345i −1.27163 + 0.817225i −0.989831 0.142250i \(-0.954566\pi\)
−0.281796 + 0.959474i \(0.590930\pi\)
\(602\) −9.76105 + 13.0392i −0.397831 + 0.531440i
\(603\) −4.04064 + 10.8334i −0.164548 + 0.441169i
\(604\) 18.0749 + 2.59878i 0.735457 + 0.105743i
\(605\) −15.8572 + 12.5874i −0.644686 + 0.511751i
\(606\) 14.0191 + 9.00953i 0.569487 + 0.365987i
\(607\) −21.1461 + 7.88709i −0.858294 + 0.320127i −0.739799 0.672828i \(-0.765080\pi\)
−0.118494 + 0.992955i \(0.537807\pi\)
\(608\) 2.53649 + 4.64523i 0.102868 + 0.188389i
\(609\) −14.8845 17.1776i −0.603149 0.696072i
\(610\) 4.06353 1.31938i 0.164528 0.0534200i
\(611\) 48.4917 + 14.2384i 1.96176 + 0.576026i
\(612\) 2.69819 + 7.23412i 0.109068 + 0.292422i
\(613\) 5.85724 + 26.9253i 0.236572 + 1.08750i 0.930167 + 0.367137i \(0.119662\pi\)
−0.693595 + 0.720365i \(0.743974\pi\)
\(614\) 1.68793 + 5.74855i 0.0681191 + 0.231992i
\(615\) −12.5052 7.54448i −0.504257 0.304223i
\(616\) 2.21458 + 4.84925i 0.0892279 + 0.195382i
\(617\) 18.1044 + 13.5528i 0.728858 + 0.545616i 0.898011 0.439974i \(-0.145012\pi\)
−0.169153 + 0.985590i \(0.554103\pi\)
\(618\) 17.9046 + 3.89490i 0.720228 + 0.156676i
\(619\) 3.75792 4.33687i 0.151044 0.174314i −0.675185 0.737648i \(-0.735936\pi\)
0.826229 + 0.563335i \(0.190482\pi\)
\(620\) −8.19663 20.2073i −0.329185 0.811544i
\(621\) 3.15989 3.60764i 0.126802 0.144770i
\(622\) −13.2868 13.2868i −0.532753 0.532753i
\(623\) 0.242813 + 3.39497i 0.00972810 + 0.136017i
\(624\) 2.71937 + 4.23143i 0.108862 + 0.169393i
\(625\) −24.8394 + 2.82886i −0.993577 + 0.113155i
\(626\) −8.82110 + 4.02846i −0.352562 + 0.161010i
\(627\) 5.91022 4.42433i 0.236031 0.176691i
\(628\) −3.84814 2.10124i −0.153557 0.0838487i
\(629\) 5.87873 9.14749i 0.234400 0.364734i
\(630\) 8.53773 + 0.367781i 0.340151 + 0.0146527i
\(631\) 6.51467 22.1869i 0.259345 0.883248i −0.722146 0.691740i \(-0.756844\pi\)
0.981491 0.191507i \(-0.0613375\pi\)
\(632\) −7.56381 0.540975i −0.300872 0.0215188i
\(633\) 6.36966 + 0.455567i 0.253171 + 0.0181072i
\(634\) −3.84732 + 13.1028i −0.152797 + 0.520377i
\(635\) 8.22908 7.54939i 0.326561 0.299588i
\(636\) −1.53479 + 2.38818i −0.0608583 + 0.0946974i
\(637\) −33.5762 18.3340i −1.33034 0.726419i
\(638\) 6.64135 4.97165i 0.262934 0.196830i
\(639\) 3.57346 1.63195i 0.141364 0.0645588i
\(640\) −2.16249 0.568905i −0.0854798 0.0224879i
\(641\) 6.27206 + 9.75951i 0.247731 + 0.385477i 0.942742 0.333521i \(-0.108237\pi\)
−0.695011 + 0.718999i \(0.744601\pi\)
\(642\) −0.255804 3.57661i −0.0100958 0.141158i
\(643\) −4.24802 4.24802i −0.167526 0.167526i 0.618365 0.785891i \(-0.287795\pi\)
−0.785891 + 0.618365i \(0.787795\pi\)
\(644\) 7.70273 16.6312i 0.303530 0.655362i
\(645\) −8.83115 + 3.58216i −0.347726 + 0.141047i
\(646\) 26.7602 30.8829i 1.05287 1.21507i
\(647\) −16.4665 3.58206i −0.647364 0.140825i −0.123118 0.992392i \(-0.539289\pi\)
−0.524246 + 0.851567i \(0.675653\pi\)
\(648\) −0.800541 0.599278i −0.0314482 0.0235419i
\(649\) 2.28468 + 5.00275i 0.0896815 + 0.196375i
\(650\) −14.7740 20.3526i −0.579482 0.798296i
\(651\) −10.5002 35.7603i −0.411534 1.40156i
\(652\) 3.50067 + 16.0923i 0.137097 + 0.630224i
\(653\) −2.77851 7.44947i −0.108731 0.291520i 0.871177 0.490970i \(-0.163357\pi\)
−0.979908 + 0.199449i \(0.936085\pi\)
\(654\) 11.5943 + 3.40438i 0.453371 + 0.133122i
\(655\) 18.7086 + 9.53749i 0.731007 + 0.372660i
\(656\) 4.27718 + 4.93613i 0.166996 + 0.192724i
\(657\) −3.75413 6.87518i −0.146463 0.268226i
\(658\) −35.9784 + 13.4192i −1.40258 + 0.523137i
\(659\) 1.93175 + 1.24146i 0.0752505 + 0.0483605i 0.577725 0.816231i \(-0.303941\pi\)
−0.502475 + 0.864592i \(0.667577\pi\)
\(660\) −0.356207 + 3.09872i −0.0138653 + 0.120618i
\(661\) −5.92726 0.852211i −0.230544 0.0331472i 0.0260746 0.999660i \(-0.491699\pi\)
−0.256618 + 0.966513i \(0.582608\pi\)
\(662\) 5.43822 14.5804i 0.211362 0.566685i
\(663\) 23.2733 31.0895i 0.903859 1.20741i
\(664\) −7.40661 + 4.75994i −0.287432 + 0.184721i
\(665\) −19.9474 40.5926i −0.773528 1.57411i
\(666\) 1.40833i 0.0545718i
\(667\) −27.8380 6.21151i −1.07789 0.240511i
\(668\) −9.61336 + 9.61336i −0.371952 + 0.371952i
\(669\) 19.1721 + 16.6127i 0.741237 + 0.642285i
\(670\) −14.9010 + 21.1283i −0.575675 + 0.816257i
\(671\) 0.379299 + 2.63808i 0.0146427 + 0.101842i
\(672\) −3.58077 1.33556i −0.138131 0.0515203i
\(673\) −26.7091 35.6792i −1.02956 1.37533i −0.924636 0.380853i \(-0.875630\pi\)
−0.104926 0.994480i \(-0.533460\pi\)
\(674\) −9.20166 + 2.70185i −0.354435 + 0.104071i
\(675\) 4.16607 + 2.76475i 0.160352 + 0.106415i
\(676\) 5.10960 11.1885i 0.196523 0.430326i
\(677\) 23.7938 12.9924i 0.914468 0.499337i 0.0481557 0.998840i \(-0.484666\pi\)
0.866313 + 0.499502i \(0.166484\pi\)
\(678\) −0.583582 + 8.15955i −0.0224123 + 0.313365i
\(679\) −14.1553 + 12.2656i −0.543229 + 0.470711i
\(680\) 1.71927 + 17.1787i 0.0659309 + 0.658773i
\(681\) 16.4823 + 7.52723i 0.631605 + 0.288444i
\(682\) 13.2925 2.89161i 0.508997 0.110725i
\(683\) −8.68739 + 15.9098i −0.332414 + 0.608770i −0.989414 0.145120i \(-0.953643\pi\)
0.657000 + 0.753890i \(0.271825\pi\)
\(684\) −0.753219 + 5.23875i −0.0288001 + 0.200309i
\(685\) 5.38687 0.152755i 0.205822 0.00583648i
\(686\) 2.29102 0.329398i 0.0874714 0.0125765i
\(687\) −0.0778582 + 0.357908i −0.00297047 + 0.0136550i
\(688\) 4.25109 0.304044i 0.162071 0.0115916i
\(689\) 14.2791 0.543989
\(690\) 8.88563 6.00379i 0.338270 0.228561i
\(691\) 34.8359 1.32522 0.662609 0.748965i \(-0.269449\pi\)
0.662609 + 0.748965i \(0.269449\pi\)
\(692\) −11.8848 + 0.850021i −0.451794 + 0.0323129i
\(693\) −1.13319 + 5.20917i −0.0430462 + 0.197880i
\(694\) −4.07363 + 0.585700i −0.154633 + 0.0222329i
\(695\) −15.9770 + 16.9096i −0.606044 + 0.641418i
\(696\) −0.846398 + 5.88683i −0.0320826 + 0.223140i
\(697\) 24.1679 44.2602i 0.915425 1.67648i
\(698\) −16.5549 + 3.60130i −0.626612 + 0.136311i
\(699\) −19.6977 8.99564i −0.745036 0.340246i
\(700\) 18.2535 + 5.65248i 0.689918 + 0.213644i
\(701\) −14.5710 + 12.6258i −0.550337 + 0.476870i −0.885080 0.465440i \(-0.845896\pi\)
0.334742 + 0.942310i \(0.391351\pi\)
\(702\) −0.358830 + 5.01709i −0.0135432 + 0.189358i
\(703\) 6.54203 3.57222i 0.246737 0.134729i
\(704\) 0.579470 1.26886i 0.0218396 0.0478220i
\(705\) −22.0804 4.15155i −0.831595 0.156356i
\(706\) −9.00251 + 2.64338i −0.338814 + 0.0994847i
\(707\) 38.1665 + 50.9844i 1.43540 + 1.91747i
\(708\) −3.69412 1.37784i −0.138833 0.0517822i
\(709\) 3.17038 + 22.0505i 0.119066 + 0.828123i 0.958588 + 0.284797i \(0.0919262\pi\)
−0.839522 + 0.543326i \(0.817165\pi\)
\(710\) 8.65599 1.49610i 0.324853 0.0561476i
\(711\) −5.73095 4.96590i −0.214927 0.186236i
\(712\) 0.629751 0.629751i 0.0236009 0.0236009i
\(713\) −37.2908 28.2273i −1.39655 1.05712i
\(714\) 29.5073i 1.10428i
\(715\) 14.0807 6.91933i 0.526588 0.258768i
\(716\) 2.24895 1.44531i 0.0840471 0.0540138i
\(717\) −8.72126 + 11.6502i −0.325701 + 0.435086i
\(718\) −8.20294 + 21.9929i −0.306131 + 0.820769i
\(719\) −19.5296 2.80793i −0.728331 0.104718i −0.231832 0.972756i \(-0.574472\pi\)
−0.496499 + 0.868038i \(0.665381\pi\)
\(720\) −1.39023 1.75136i −0.0518107 0.0652694i
\(721\) 58.9103 + 37.8594i 2.19394 + 1.40996i
\(722\) 8.44369 3.14933i 0.314241 0.117206i
\(723\) −10.8717 19.9101i −0.404324 0.740465i
\(724\) −10.5061 12.1247i −0.390456 0.450610i
\(725\) 2.55721 29.6267i 0.0949723 1.10031i
\(726\) 8.68745 + 2.55086i 0.322421 + 0.0946715i
\(727\) 8.34024 + 22.3610i 0.309322 + 0.829325i 0.994857 + 0.101286i \(0.0322956\pi\)
−0.685535 + 0.728040i \(0.740432\pi\)
\(728\) 4.08614 + 18.7837i 0.151442 + 0.696169i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) −4.20694 17.0032i −0.155706 0.629318i
\(731\) −13.6697 29.9325i −0.505593 1.10709i
\(732\) −1.52956 1.14501i −0.0565342 0.0423209i
\(733\) 24.0969 + 5.24195i 0.890038 + 0.193616i 0.634260 0.773120i \(-0.281305\pi\)
0.255778 + 0.966736i \(0.417668\pi\)
\(734\) −6.14210 + 7.08836i −0.226709 + 0.261636i
\(735\) 15.6639 + 6.62351i 0.577771 + 0.244312i
\(736\) −4.60871 + 1.32657i −0.169879 + 0.0488981i
\(737\) −11.4046 11.4046i −0.420095 0.420095i
\(738\) 0.465948 + 6.51480i 0.0171518 + 0.239813i
\(739\) −12.3075 19.1509i −0.452740 0.704477i 0.537590 0.843206i \(-0.319335\pi\)
−0.990330 + 0.138729i \(0.955698\pi\)
\(740\) −0.801208 + 3.04550i −0.0294530 + 0.111955i
\(741\) 24.2157 11.0589i 0.889586 0.406260i
\(742\) −8.68528 + 6.50172i −0.318847 + 0.238686i
\(743\) −28.1704 15.3822i −1.03347 0.564319i −0.129353 0.991599i \(-0.541290\pi\)
−0.904119 + 0.427280i \(0.859472\pi\)
\(744\) −5.27239 + 8.20400i −0.193295 + 0.300773i
\(745\) 1.43766 33.3741i 0.0526718 1.22273i
\(746\) −2.07273 + 7.05906i −0.0758880 + 0.258451i
\(747\) −8.78182 0.628088i −0.321310 0.0229806i
\(748\) −10.7426 0.768327i −0.392789 0.0280928i
\(749\) 3.86080 13.1487i 0.141070 0.480442i
\(750\) 7.43620 + 8.34883i 0.271532 + 0.304856i
\(751\) 11.5537 17.9778i 0.421599 0.656020i −0.563873 0.825862i \(-0.690689\pi\)
0.985471 + 0.169841i \(0.0543255\pi\)
\(752\) 8.81863 + 4.81533i 0.321582 + 0.175597i
\(753\) 16.6086 12.4330i 0.605250 0.453085i
\(754\) 27.2114 12.4270i 0.990979 0.452565i
\(755\) 20.5768 + 35.2686i 0.748867 + 1.28356i
\(756\) −2.06618 3.21505i −0.0751464 0.116930i
\(757\) 1.84542 + 25.8024i 0.0670730 + 0.937803i 0.913901 + 0.405937i \(0.133055\pi\)
−0.846828 + 0.531866i \(0.821491\pi\)
\(758\) 2.07016 + 2.07016i 0.0751916 + 0.0751916i
\(759\) 2.74653 + 6.09999i 0.0996928 + 0.221415i
\(760\) −4.60918 + 10.9002i −0.167193 + 0.395393i
\(761\) −25.2040 + 29.0870i −0.913645 + 1.05440i 0.0846721 + 0.996409i \(0.473016\pi\)
−0.998317 + 0.0579935i \(0.981530\pi\)
\(762\) −4.88008 1.06160i −0.176787 0.0384576i
\(763\) 36.9696 + 27.6751i 1.33839 + 1.00191i
\(764\) 0.665925 + 1.45817i 0.0240923 + 0.0527549i
\(765\) −8.91846 + 14.7826i −0.322448 + 0.534465i
\(766\) −3.65349 12.4427i −0.132006 0.449571i
\(767\) 4.21548 + 19.3783i 0.152212 + 0.699708i
\(768\) 0.349464 + 0.936950i 0.0126102 + 0.0338093i
\(769\) −3.15622 0.926749i −0.113816 0.0334194i 0.224329 0.974514i \(-0.427981\pi\)
−0.338145 + 0.941094i \(0.609799\pi\)
\(770\) −5.41402 + 10.6201i −0.195108 + 0.382721i
\(771\) −0.577560 0.666540i −0.0208003 0.0240049i
\(772\) −7.60824 13.9335i −0.273827 0.501476i
\(773\) −45.5467 + 16.9880i −1.63820 + 0.611018i −0.988776 0.149407i \(-0.952263\pi\)