Properties

Label 690.2.w.b.493.4
Level $690$
Weight $2$
Character 690.493
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 493.4
Character \(\chi\) \(=\) 690.493
Dual form 690.2.w.b.7.4

$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{3}{22}\right)\)

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 0.953173 + 0.302425i \(0.0977962\pi\)
−0.260908 + 0.965364i \(0.584022\pi\)
\(8\) −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 0.799145 0.601138i \(-0.205286\pi\)
−0.481289 + 0.876562i \(0.659831\pi\)
\(12\) −0.0713392 0.997452i −0.0205938 0.287940i
\(13\) 4.41465 + 2.41058i 1.22440 + 0.668574i 0.955613 0.294625i \(-0.0951946\pi\)
0.268789 + 0.963199i \(0.413376\pi\)
\(14\) −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 −0.279951 + 0.960014i \(0.590318\pi\)
−0.842255 + 0.539079i \(0.818773\pi\)
\(18\) 0.936950 0.349464i 0.220841 0.0823695i
\(19\) −0.753219 + 5.23875i −0.172800 + 1.20185i 0.700133 + 0.714013i \(0.253124\pi\)
−0.872933 + 0.487840i \(0.837785\pi\)
\(20\) 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 −0.665228 0.746640i \(-0.731666\pi\)
−0.427928 + 0.903813i \(0.640756\pi\)
\(30\) 1.75136 + 1.39023i 0.319753 + 0.253820i
\(31\) −8.20400 + 5.27239i −1.47348 + 0.946949i −0.475754 + 0.879578i \(0.657825\pi\)
−0.997728 + 0.0673712i \(0.978539\pi\)
\(32\) −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 −0.890195 0.455580i \(-0.849432\pi\)
0.971106 + 0.238649i \(0.0767046\pi\)
\(38\) 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 −0.570562 0.821255i \(-0.693274\pi\)
0.994301 0.106606i \(-0.0339983\pi\)
\(42\) −3.05945 + 2.29028i −0.472084 + 0.353398i
\(43\) 4.16455 0.905943i 0.635088 0.138155i 0.116516 0.993189i \(-0.462827\pi\)
0.518572 + 0.855034i \(0.326464\pi\)
\(44\) 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 0.0370233 0.999314i \(-0.488212\pi\)
0.999314 0.0370233i \(-0.0117876\pi\)
\(48\) 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 −0.298929 0.954275i \(-0.596629\pi\)
0.641174 + 0.767395i \(0.278448\pi\)
\(54\) −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 0.855048 0.518548i \(-0.173527\pi\)
−0.999661 + 0.0260435i \(0.991709\pi\)
\(60\) −1.64772 1.51163i −0.212720 0.195150i
\(61\) −1.03298 1.60735i −0.132259 0.205800i 0.768807 0.639481i \(-0.220851\pi\)
−0.901066 + 0.433681i \(0.857214\pi\)
\(62\) 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 0.655738 + 0.754989i \(0.272358\pi\)
−0.756510 + 0.653983i \(0.773097\pi\)
\(68\) −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 0.582273 0.812993i \(-0.302164\pi\)
−0.887584 + 0.460645i \(0.847618\pi\)
\(72\) 0.977147 0.212565i 0.115158 0.0250511i
\(73\) 6.27093 4.69436i 0.733957 0.549434i −0.165623 0.986189i \(-0.552963\pi\)
0.899580 + 0.436756i \(0.143873\pi\)
\(74\) −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 0.154493 0.987994i \(-0.450626\pi\)
0.664117 + 0.747628i \(0.268808\pi\)
\(80\) 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 0.758691 0.651451i \(-0.225839\pi\)
0.146771 + 0.989171i \(0.453112\pi\)
\(84\) 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 0.500330 0.865835i \(-0.333212\pi\)
−0.579747 + 0.814797i \(0.696849\pi\)
\(90\) 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 −0.571595 0.820536i \(-0.693675\pi\)
0.105354 + 0.994435i \(0.466402\pi\)
\(98\) 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 −0.853003 0.521905i \(-0.825221\pi\)
0.164169 0.986432i \(-0.447506\pi\)
\(102\) −6.77649 3.70024i −0.670973 0.366379i
\(103\) −1.30717 18.2766i −0.128799 1.80085i −0.493520 0.869734i \(-0.664290\pi\)
0.364721 0.931117i \(-0.381164\pi\)
\(104\) −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 0.378711 0.925515i \(-0.376368\pi\)
−0.0399855 + 0.999200i \(0.512731\pi\)
\(108\) 0.479249 + 0.877679i 0.0461158 + 0.0844547i
\(109\) −1.71969 11.9607i −0.164717 1.14563i −0.889594 0.456752i \(-0.849013\pi\)
0.724877 0.688878i \(-0.241897\pi\)
\(110\) −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 −0.317946 0.948109i \(-0.602993\pi\)
−0.449640 + 0.893210i \(0.648448\pi\)
\(114\) −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 0.988465 + 0.151452i \(0.0483950\pi\)
−0.956850 + 0.290584i \(0.906150\pi\)
\(128\) −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 0.650571 0.759445i \(-0.274530\pi\)
0.136708 + 0.990611i \(0.456348\pi\)
\(132\) 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 0.776148 0.630551i \(-0.217171\pi\)
−0.630551 + 0.776148i \(0.717171\pi\)
\(138\) 1.04441 + 4.68073i 0.0889065 + 0.398450i
\(139\) 10.4039i 0.882443i −0.897398 0.441222i \(-0.854545\pi\)
0.897398 0.441222i \(-0.145455\pi\)
\(140\) 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 −0.998460 0.0554674i \(-0.982335\pi\)
0.196999 + 0.980404i \(0.436881\pi\)
\(150\) 4.98148 0.429973i 0.406736 0.0351072i
\(151\) 17.5211 5.14465i 1.42585 0.418666i 0.524368 0.851492i \(-0.324302\pi\)
0.901478 + 0.432826i \(0.142483\pi\)
\(152\) 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 −0.730096 0.683345i \(-0.760525\pi\)
0.449973 + 0.893042i \(0.351434\pi\)
\(158\) −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 −0.716255 0.697839i \(-0.754145\pi\)
0.808277 0.588802i \(-0.200400\pi\)
\(164\) 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 0.0885689 0.996070i \(-0.471771\pi\)
−0.930769 + 0.365607i \(0.880862\pi\)
\(168\) −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 −0.515396 0.856952i \(-0.672355\pi\)
−0.388193 + 0.921578i \(0.626900\pi\)
\(174\) −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 0.504215 0.863578i \(-0.331782\pi\)
−0.322458 + 0.946584i \(0.604509\pi\)
\(180\) −1.12683 + 1.93139i −0.0839891 + 0.143957i
\(181\) −8.67364 + 13.4965i −0.644707 + 1.00318i 0.353008 + 0.935620i \(0.385159\pi\)
−0.997715 + 0.0675630i \(0.978478\pi\)
\(182\) 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 −0.941539 0.336905i \(-0.890620\pi\)
0.974217 + 0.225612i \(0.0724381\pi\)
\(192\) 0.212565 0.977147i 0.0153406 0.0705195i
\(193\) −5.54786 + 14.8744i −0.399344 + 1.07068i 0.569278 + 0.822145i \(0.307223\pi\)
−0.968622 + 0.248537i \(0.920050\pi\)
\(194\) 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 −0.778138 0.628093i \(-0.783836\pi\)
0.949079 + 0.315039i \(0.102018\pi\)
\(198\) 1.30697 + 0.487474i 0.0928821 + 0.0346432i
\(199\) 11.1390 7.15862i 0.789625 0.507461i −0.0825900 0.996584i \(-0.526319\pi\)
0.872215 + 0.489122i \(0.162683\pi\)
\(200\) −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 0.934330 + 0.356410i \(0.115999\pi\)
−0.996895 + 0.0787414i \(0.974910\pi\)
\(212\) 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 0.870274 + 0.492568i \(0.163942\pi\)
−0.0561306 + 0.998423i \(0.517876\pi\)
\(224\) −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 0.908565 + 0.417744i \(0.137179\pi\)
−0.652923 + 0.757425i \(0.726457\pi\)
\(228\) 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 −0.839555 0.543275i \(-0.817184\pi\)
0.538001 0.842944i \(-0.319180\pi\)
\(234\) 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 0.0616189 0.998100i \(-0.480374\pi\)
0.794665 + 0.607048i \(0.207646\pi\)
\(240\) −1.41582 1.73074i −0.0913910 0.111718i
\(241\) −17.1441 14.8555i −1.10435 0.956926i −0.105056 0.994466i \(-0.533502\pi\)
−0.999295 + 0.0375404i \(0.988048\pi\)
\(242\) 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 −0.989802 0.142448i \(-0.954503\pi\)
0.000134070 1.00000i \(0.499957\pi\)
\(252\) −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 0.783754 0.621072i \(-0.213302\pi\)
−0.816723 + 0.577030i \(0.804212\pi\)
\(258\) 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 0.376780 + 0.926303i \(0.377031\pi\)
−0.982958 + 0.183829i \(0.941151\pi\)
\(264\) −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 0.581290 + 0.813696i \(0.302548\pi\)
−0.928930 + 0.370256i \(0.879270\pi\)
\(270\) −2.17062 0.537054i −0.132099 0.0326840i
\(271\) −0.723593 + 1.58445i −0.0439552 + 0.0962484i −0.930336 0.366709i \(-0.880484\pi\)
0.886381 + 0.462957i \(0.153212\pi\)
\(272\) −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 0.145567 0.989348i \(-0.453499\pi\)
0.989348 0.145567i \(-0.0465008\pi\)
\(278\) −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 0.998800 0.0489760i \(-0.0155958\pi\)
0.617061 + 0.786915i \(0.288323\pi\)
\(282\) 8.04357 + 6.02134i 0.478988 + 0.358566i
\(283\) 11.5498 6.30665i 0.686562 0.374891i −0.0977901 0.995207i \(-0.531177\pi\)
0.784352 + 0.620316i \(0.212996\pi\)
\(284\) −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 0.646803 0.762657i \(-0.276106\pi\)
−0.549539 + 0.835468i \(0.685197\pi\)
\(294\) −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 −0.999102 0.0423738i \(-0.986508\pi\)
0.926418 + 0.376497i \(0.122872\pi\)
\(308\) −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 −0.290690 0.956817i \(-0.593885\pi\)
0.988448 + 0.151562i \(0.0484302\pi\)
\(312\) −2.41058 + 4.41465i −0.136472 + 0.249930i
\(313\) 9.08601 + 3.38891i 0.513572 + 0.191552i 0.592869 0.805299i \(-0.297995\pi\)
−0.0792976 + 0.996851i \(0.525268\pi\)
\(314\) 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 0.999331 + 0.0365721i \(0.0116439\pi\)
−0.731294 + 0.682062i \(0.761083\pi\)
\(318\) 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 −0.999909 0.0135156i \(-0.995698\pi\)
0.644586 0.764531i \(-0.277030\pi\)
\(332\) 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 0.460420 0.887701i \(-0.347699\pi\)
0.0500486 + 0.998747i \(0.484062\pi\)
\(338\) −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 0.181087 0.983467i \(-0.442038\pi\)
0.0392823 + 0.999228i \(0.487493\pi\)
\(348\) 1.26420 + 5.81145i 0.0677684 + 0.311526i
\(349\) 16.7696 + 2.41111i 0.897658 + 0.129064i 0.575672 0.817681i \(-0.304741\pi\)
0.321986 + 0.946745i \(0.395650\pi\)
\(350\) −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 0.449818 0.893120i \(-0.351489\pi\)
0.0381533 + 0.999272i \(0.487852\pi\)
\(354\) 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 0.971430 + 0.237326i \(0.0762710\pi\)
−0.456792 + 0.889573i \(0.651002\pi\)
\(360\) 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 0.858690 0.512496i \(-0.171279\pi\)
−0.512496 + 0.858690i \(0.671279\pi\)
\(368\) 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 0.986359 0.164608i \(-0.0526360\pi\)
−0.853236 + 0.521525i \(0.825363\pi\)
\(374\) 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 −0.802850 0.596181i \(-0.796684\pi\)
0.704370 + 0.709833i \(0.251230\pi\)
\(380\) 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 −0.851531 0.524304i \(-0.824326\pi\)
0.992384 0.123184i \(-0.0393107\pi\)
\(384\) −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 0.357206 0.934026i \(-0.383729\pi\)
−0.975354 + 0.220645i \(0.929184\pi\)
\(390\) 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 0.734824 0.678257i \(-0.237265\pi\)
−0.443759 + 0.896146i \(0.646356\pi\)
\(398\) −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 0.846477 0.532425i \(-0.178719\pi\)
−0.999953 + 0.00973520i \(0.996901\pi\)
\(402\) −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 0.999193 0.0401786i \(-0.0127927\pi\)
0.623967 + 0.781451i \(0.285520\pi\)
\(410\) 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 −0.999962 0.00873890i \(-0.997218\pi\)
0.661440 + 0.749998i \(0.269946\pi\)
\(420\) 2.05247 8.29551i 0.100151 0.404780i
\(421\) 10.3965 35.4072i 0.506694 1.72564i −0.166377 0.986062i \(-0.553207\pi\)
0.673071 0.739578i \(-0.264975\pi\)
\(422\) 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 −0.584934 0.811081i \(-0.698880\pi\)
−0.332733 + 0.943021i \(0.607971\pi\)
\(432\) 0.349464 + 0.936950i 0.0168136 + 0.0450790i
\(433\) −6.34554 8.47665i −0.304947 0.407362i 0.621723 0.783237i \(-0.286433\pi\)
−0.926670 + 0.375875i \(0.877342\pi\)
\(434\) 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 −0.935791 0.352555i \(-0.885313\pi\)
0.215789 + 0.976440i \(0.430768\pi\)
\(440\) −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 −0.859020 0.511941i \(-0.828927\pi\)
0.733218 + 0.679994i \(0.238017\pi\)
\(444\) −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 0.0930729 0.995659i \(-0.470331\pi\)
−0.972279 + 0.233823i \(0.924877\pi\)
\(450\) −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 0.947653 0.319301i \(-0.103448\pi\)
−0.994658 + 0.103223i \(0.967084\pi\)
\(458\) −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 0.942599 + 0.333927i \(0.108374\pi\)
−0.718700 + 0.695321i \(0.755262\pi\)
\(464\) −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 −0.756613 0.653863i \(-0.773147\pi\)
−0.141009 0.990008i \(-0.545035\pi\)
\(468\) −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 −0.980835 0.194839i \(-0.937582\pi\)
0.995997 + 0.0893864i \(0.0284906\pi\)
\(480\) 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 0.530374 0.847764i \(-0.322052\pi\)
−0.962847 + 0.270047i \(0.912961\pi\)
\(488\) 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 −0.439405 + 0.898289i \(0.644811\pi\)
−0.999648 + 0.0265345i \(0.991553\pi\)
\(492\) −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 −0.923776 0.382932i \(-0.874914\pi\)
0.984159 + 0.177288i \(0.0567324\pi\)
\(500\) −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 0.0159115 0.999873i \(-0.494935\pi\)
0.429836 + 0.902907i \(0.358571\pi\)
\(504\) 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 0.327593 + 0.944819i \(0.393763\pi\)
−0.995525 + 0.0945033i \(0.969874\pi\)
\(510\) −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 0.946281 0.323345i \(-0.104807\pi\)
−0.687224 + 0.726446i \(0.741171\pi\)
\(522\) −5.21987 + 2.85027i −0.228468 + 0.124753i
\(523\) −5.42156 4.05853i −0.237068 0.177467i 0.474138 0.880451i \(-0.342760\pi\)
−0.711206 + 0.702983i \(0.751851\pi\)
\(524\) 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 −0.196927 0.980418i \(-0.563096\pi\)
0.998465 + 0.0553944i \(0.0176416\pi\)
\(542\) 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 −0.984132 0.177438i \(-0.943219\pi\)
0.627560 0.778568i \(-0.284054\pi\)
\(548\) 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 0.00914772 0.999958i \(-0.497088\pi\)
0.661747 + 0.749727i \(0.269815\pi\)
\(558\) −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 0.926135 + 0.377192i \(0.123110\pi\)
−0.863028 + 0.505156i \(0.831435\pi\)
\(564\) −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 0.999482 + 0.0321973i \(0.0102505\pi\)
−0.949924 + 0.312480i \(0.898840\pi\)
\(570\) −8.60222 + 8.12781i −0.360307 + 0.340436i
\(571\) −1.91743 0.275685i −0.0802420 0.0115371i 0.102077 0.994777i \(-0.467451\pi\)
−0.182319 + 0.983239i \(0.558360\pi\)
\(572\) 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 −0.0623206 0.998056i \(-0.519850\pi\)
−0.203724 + 0.979028i \(0.565305\pi\)
\(578\) 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 0.799782 + 0.600291i \(0.204949\pi\)
−0.706211 + 0.708002i \(0.749597\pi\)
\(588\) 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 −0.840490 + 0.541827i \(0.817733\pi\)
−0.990021 + 0.140918i \(0.954995\pi\)
\(594\) 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 \(-0.981432\pi\)
0.998299 0.0583007i \(-0.0185682\pi\)
\(600\) 4.99197 + 0.283342i 0.203796 + 0.0115674i
\(601\) −31.1743 20.0345i −1.27163 0.817225i −0.281796 0.959474i \(-0.590930\pi\)
−0.989831 + 0.142250i \(0.954566\pi\)
\(602\) −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 −0.118494 0.992955i \(-0.537807\pi\)
−0.739799 + 0.672828i \(0.765080\pi\)
\(608\) 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 −0.693595 0.720365i \(-0.743974\pi\)
0.930167 0.367137i \(-0.119662\pi\)
\(614\) 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 −0.169153 0.985590i \(-0.554103\pi\)
0.898011 + 0.439974i \(0.145012\pi\)
\(618\) 17.9046 3.89490i 0.720228 0.156676i
\(619\) 3.75792 + 4.33687i 0.151044 + 0.174314i 0.826229 0.563335i \(-0.190482\pi\)
−0.675185 + 0.737648i \(0.735936\pi\)
\(620\) −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 0.981491 + 0.191507i \(0.0613375\pi\)
−0.722146 + 0.691740i \(0.756844\pi\)
\(632\) −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 −0.695011 0.718999i \(-0.744601\pi\)
0.942742 + 0.333521i \(0.108237\pi\)
\(642\) −0.255804 + 3.57661i −0.0100958 + 0.141158i
\(643\) −4.24802 + 4.24802i −0.167526 + 0.167526i −0.785891 0.618365i \(-0.787795\pi\)
0.618365 + 0.785891i \(0.287795\pi\)
\(644\) 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 −0.524246 0.851567i \(-0.675653\pi\)
−0.123118 + 0.992392i \(0.539289\pi\)
\(648\) −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 −0.979908 0.199449i \(-0.936085\pi\)
0.871177 + 0.490970i \(0.163357\pi\)
\(654\) 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 −0.502475 0.864592i \(-0.667577\pi\)
0.577725 + 0.816231i \(0.303941\pi\)
\(660\) −0.356207 3.09872i −0.0138653 0.120618i
\(661\) −5.92726 + 0.852211i −0.230544 + 0.0331472i −0.256618 0.966513i \(-0.582608\pi\)
0.0260746 + 0.999660i \(0.491699\pi\)
\(662\) 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 −0.104926 + 0.994480i \(0.533460\pi\)
−0.924636 + 0.380853i \(0.875630\pi\)
\(674\) −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 0.866313 0.499502i \(-0.166484\pi\)
0.0481557 + 0.998840i \(0.484666\pi\)
\(678\) −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 0.657000 0.753890i \(-0.271825\pi\)
−0.989414 + 0.145120i \(0.953643\pi\)
\(684\) −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 0.334742 0.942310i \(-0.391351\pi\)
−0.885080 + 0.465440i \(0.845896\pi\)
\(702\) −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 −0.839522 0.543326i \(-0.817165\pi\)
0.958588 0.284797i \(-0.0919262\pi\)
\(710\) 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 −0.496499 0.868038i \(-0.665381\pi\)
−0.231832 + 0.972756i \(0.574472\pi\)
\(720\) −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 −0.685535 0.728040i \(-0.740432\pi\)
0.994857 0.101286i \(-0.0322956\pi\)
\(728\) 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 0.255778 0.966736i \(-0.417668\pi\)
0.634260 + 0.773120i \(0.281305\pi\)
\(734\) −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 −0.990330 0.138729i \(-0.955698\pi\)
0.537590 + 0.843206i \(0.319335\pi\)
\(740\) −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 −0.904119 0.427280i \(-0.859472\pi\)
−0.129353 + 0.991599i \(0.541290\pi\)
\(744\) −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 0.985471 0.169841i \(-0.0543255\pi\)
−0.563873 + 0.825862i \(0.690689\pi\)
\(752\) 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 −0.846828 0.531866i \(-0.821491\pi\)
0.913901 0.405937i \(-0.133055\pi\)
\(758\) 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 −0.998317 0.0579935i \(-0.981530\pi\)
0.0846721 0.996409i \(-0.473016\pi\)
\(762\) −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 −0.338145 0.941094i \(-0.609799\pi\)
0.224329 + 0.974514i \(0.427981\pi\)
\(770\) −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 −0.649426