Properties

Label 441.2.y.a.25.6
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.6
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.524692 + 2.29882i) q^{2} +(1.63349 + 0.575929i) q^{3} +(-3.20735 - 1.54458i) q^{4} +(-1.57024 - 4.00089i) q^{5} +(-2.18104 + 3.45293i) q^{6} +(2.51000 + 0.836609i) q^{7} +(2.29328 - 2.87568i) q^{8} +(2.33661 + 1.88155i) q^{9} +O(q^{10})\) \(q+(-0.524692 + 2.29882i) q^{2} +(1.63349 + 0.575929i) q^{3} +(-3.20735 - 1.54458i) q^{4} +(-1.57024 - 4.00089i) q^{5} +(-2.18104 + 3.45293i) q^{6} +(2.51000 + 0.836609i) q^{7} +(2.29328 - 2.87568i) q^{8} +(2.33661 + 1.88155i) q^{9} +(10.0212 - 1.51046i) q^{10} +(5.43233 - 1.67565i) q^{11} +(-4.34962 - 4.37027i) q^{12} +(-1.22443 + 0.377686i) q^{13} +(-3.24019 + 5.33108i) q^{14} +(-0.260740 - 7.43978i) q^{15} +(0.968309 + 1.21422i) q^{16} +(0.175783 - 2.34566i) q^{17} +(-5.55136 + 4.38422i) q^{18} +(1.68254 + 2.91425i) q^{19} +(-1.14340 + 15.2576i) q^{20} +(3.61824 + 2.81218i) q^{21} +(1.00173 + 13.3672i) q^{22} +(3.48335 - 2.37491i) q^{23} +(5.40225 - 3.37664i) q^{24} +(-9.87625 + 9.16382i) q^{25} +(-0.225787 - 3.01292i) q^{26} +(2.73320 + 4.41923i) q^{27} +(-6.75823 - 6.56019i) q^{28} +(-0.163743 + 2.18500i) q^{29} +(17.2396 + 3.30420i) q^{30} -3.87928 q^{31} +(3.32843 - 1.60289i) q^{32} +(9.83873 + 0.391468i) q^{33} +(5.30003 + 1.63484i) q^{34} +(-0.594101 - 11.3559i) q^{35} +(-4.58812 - 9.64389i) q^{36} +(2.71058 + 1.84804i) q^{37} +(-7.58217 + 2.33879i) q^{38} +(-2.21762 - 0.0882357i) q^{39} +(-15.1063 - 4.65967i) q^{40} +(-10.6831 - 1.61022i) q^{41} +(-8.36316 + 6.84217i) q^{42} +(3.19155 - 0.481048i) q^{43} +(-20.0116 - 3.01626i) q^{44} +(3.85887 - 12.3030i) q^{45} +(3.63181 + 9.25370i) q^{46} +(1.01578 - 4.45042i) q^{47} +(0.882422 + 2.54110i) q^{48} +(5.60017 + 4.19977i) q^{49} +(-15.8840 - 27.5119i) q^{50} +(1.63808 - 3.73039i) q^{51} +(4.51054 + 0.679855i) q^{52} +(-0.636820 + 0.434177i) q^{53} +(-11.5931 + 3.96441i) q^{54} +(-15.2341 - 19.1030i) q^{55} +(8.16195 - 5.29937i) q^{56} +(1.07002 + 5.72944i) q^{57} +(-4.93702 - 1.52287i) q^{58} +(2.57889 + 3.23383i) q^{59} +(-10.6551 + 24.2647i) q^{60} +(5.18995 - 2.49935i) q^{61} +(2.03542 - 8.91777i) q^{62} +(4.29076 + 6.67753i) q^{63} +(2.62953 + 11.5207i) q^{64} +(3.43372 + 4.30575i) q^{65} +(-6.06222 + 22.4121i) q^{66} +0.982056 q^{67} +(-4.18686 + 7.25185i) q^{68} +(7.05781 - 1.87324i) q^{69} +(26.4169 + 4.59261i) q^{70} +(3.61418 + 1.74050i) q^{71} +(10.7693 - 2.40442i) q^{72} +(-9.47692 - 2.92324i) q^{73} +(-5.67054 + 5.26149i) q^{74} +(-21.4105 + 9.28104i) q^{75} +(-0.895218 - 11.9459i) q^{76} +(15.0370 + 0.338856i) q^{77} +(1.36640 - 5.05162i) q^{78} +2.50673 q^{79} +(3.33750 - 5.78071i) q^{80} +(1.91950 + 8.79292i) q^{81} +(9.30692 - 23.7137i) q^{82} +(-14.8875 - 4.59219i) q^{83} +(-7.26134 - 14.6083i) q^{84} +(-9.66076 + 2.97995i) q^{85} +(-0.568732 + 7.58920i) q^{86} +(-1.52588 + 3.47489i) q^{87} +(7.63921 - 19.4644i) q^{88} +(-1.32080 + 1.22552i) q^{89} +(26.2577 + 15.3262i) q^{90} +(-3.38929 - 0.0763771i) q^{91} +(-14.8406 + 2.23685i) q^{92} +(-6.33678 - 2.23419i) q^{93} +(9.69777 + 4.67020i) q^{94} +(9.01762 - 11.3077i) q^{95} +(6.36012 - 0.701368i) q^{96} +(-3.17809 + 5.50461i) q^{97} +(-12.5929 + 10.6702i) q^{98} +(15.8461 + 6.30588i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.524692 + 2.29882i −0.371013 + 1.62551i 0.352927 + 0.935651i \(0.385186\pi\)
−0.723940 + 0.689863i \(0.757671\pi\)
\(3\) 1.63349 + 0.575929i 0.943099 + 0.332513i
\(4\) −3.20735 1.54458i −1.60368 0.772290i
\(5\) −1.57024 4.00089i −0.702230 1.78925i −0.608347 0.793671i \(-0.708167\pi\)
−0.0938831 0.995583i \(-0.529928\pi\)
\(6\) −2.18104 + 3.45293i −0.890406 + 1.40965i
\(7\) 2.51000 + 0.836609i 0.948690 + 0.316209i
\(8\) 2.29328 2.87568i 0.810797 1.01671i
\(9\) 2.33661 + 1.88155i 0.778870 + 0.627185i
\(10\) 10.0212 1.51046i 3.16899 0.477649i
\(11\) 5.43233 1.67565i 1.63791 0.505228i 0.667076 0.744989i \(-0.267545\pi\)
0.970832 + 0.239762i \(0.0770693\pi\)
\(12\) −4.34962 4.37027i −1.25563 1.26159i
\(13\) −1.22443 + 0.377686i −0.339596 + 0.104751i −0.459862 0.887990i \(-0.652101\pi\)
0.120267 + 0.992742i \(0.461625\pi\)
\(14\) −3.24019 + 5.33108i −0.865978 + 1.42479i
\(15\) −0.260740 7.43978i −0.0673227 1.92094i
\(16\) 0.968309 + 1.21422i 0.242077 + 0.303555i
\(17\) 0.175783 2.34566i 0.0426336 0.568906i −0.934456 0.356078i \(-0.884114\pi\)
0.977090 0.212828i \(-0.0682674\pi\)
\(18\) −5.55136 + 4.38422i −1.30847 + 1.03337i
\(19\) 1.68254 + 2.91425i 0.386002 + 0.668575i 0.991908 0.126961i \(-0.0405224\pi\)
−0.605906 + 0.795537i \(0.707189\pi\)
\(20\) −1.14340 + 15.2576i −0.255672 + 3.41171i
\(21\) 3.61824 + 2.81218i 0.789565 + 0.613667i
\(22\) 1.00173 + 13.3672i 0.213570 + 2.84989i
\(23\) 3.48335 2.37491i 0.726328 0.495202i −0.142823 0.989748i \(-0.545618\pi\)
0.869151 + 0.494546i \(0.164666\pi\)
\(24\) 5.40225 3.37664i 1.10273 0.689255i
\(25\) −9.87625 + 9.16382i −1.97525 + 1.83276i
\(26\) −0.225787 3.01292i −0.0442804 0.590881i
\(27\) 2.73320 + 4.41923i 0.526005 + 0.850482i
\(28\) −6.75823 6.56019i −1.27719 1.23976i
\(29\) −0.163743 + 2.18500i −0.0304064 + 0.405745i 0.961146 + 0.276040i \(0.0890221\pi\)
−0.991553 + 0.129705i \(0.958597\pi\)
\(30\) 17.2396 + 3.30420i 3.14750 + 0.603261i
\(31\) −3.87928 −0.696739 −0.348369 0.937357i \(-0.613265\pi\)
−0.348369 + 0.937357i \(0.613265\pi\)
\(32\) 3.32843 1.60289i 0.588388 0.283353i
\(33\) 9.83873 + 0.391468i 1.71270 + 0.0681459i
\(34\) 5.30003 + 1.63484i 0.908948 + 0.280373i
\(35\) −0.594101 11.3559i −0.100421 1.91950i
\(36\) −4.58812 9.64389i −0.764687 1.60731i
\(37\) 2.71058 + 1.84804i 0.445616 + 0.303816i 0.765259 0.643722i \(-0.222611\pi\)
−0.319643 + 0.947538i \(0.603563\pi\)
\(38\) −7.58217 + 2.33879i −1.22999 + 0.379402i
\(39\) −2.21762 0.0882357i −0.355103 0.0141290i
\(40\) −15.1063 4.65967i −2.38851 0.736759i
\(41\) −10.6831 1.61022i −1.66842 0.251473i −0.754184 0.656663i \(-0.771967\pi\)
−0.914233 + 0.405189i \(0.867206\pi\)
\(42\) −8.36316 + 6.84217i −1.29046 + 1.05577i
\(43\) 3.19155 0.481048i 0.486706 0.0733591i 0.0988947 0.995098i \(-0.468469\pi\)
0.387811 + 0.921739i \(0.373231\pi\)
\(44\) −20.0116 3.01626i −3.01686 0.454718i
\(45\) 3.85887 12.3030i 0.575247 1.83403i
\(46\) 3.63181 + 9.25370i 0.535481 + 1.36438i
\(47\) 1.01578 4.45042i 0.148167 0.649161i −0.845227 0.534407i \(-0.820535\pi\)
0.993394 0.114754i \(-0.0366080\pi\)
\(48\) 0.882422 + 2.54110i 0.127367 + 0.366776i
\(49\) 5.60017 + 4.19977i 0.800024 + 0.599968i
\(50\) −15.8840 27.5119i −2.24634 3.89078i
\(51\) 1.63808 3.73039i 0.229376 0.522359i
\(52\) 4.51054 + 0.679855i 0.625500 + 0.0942789i
\(53\) −0.636820 + 0.434177i −0.0874740 + 0.0596388i −0.606267 0.795261i \(-0.707334\pi\)
0.518793 + 0.854900i \(0.326381\pi\)
\(54\) −11.5931 + 3.96441i −1.57762 + 0.539488i
\(55\) −15.2341 19.1030i −2.05417 2.57585i
\(56\) 8.16195 5.29937i 1.09069 0.708159i
\(57\) 1.07002 + 5.72944i 0.141728 + 0.758883i
\(58\) −4.93702 1.52287i −0.648263 0.199963i
\(59\) 2.57889 + 3.23383i 0.335743 + 0.421009i 0.920831 0.389961i \(-0.127511\pi\)
−0.585088 + 0.810970i \(0.698940\pi\)
\(60\) −10.6551 + 24.2647i −1.37556 + 3.13256i
\(61\) 5.18995 2.49935i 0.664504 0.320008i −0.0710513 0.997473i \(-0.522635\pi\)
0.735556 + 0.677464i \(0.236921\pi\)
\(62\) 2.03542 8.91777i 0.258499 1.13256i
\(63\) 4.29076 + 6.67753i 0.540585 + 0.841289i
\(64\) 2.62953 + 11.5207i 0.328691 + 1.44009i
\(65\) 3.43372 + 4.30575i 0.425901 + 0.534063i
\(66\) −6.06222 + 22.4121i −0.746207 + 2.75874i
\(67\) 0.982056 0.119977 0.0599886 0.998199i \(-0.480894\pi\)
0.0599886 + 0.998199i \(0.480894\pi\)
\(68\) −4.18686 + 7.25185i −0.507731 + 0.879416i
\(69\) 7.05781 1.87324i 0.849660 0.225511i
\(70\) 26.4169 + 4.59261i 3.15743 + 0.548922i
\(71\) 3.61418 + 1.74050i 0.428925 + 0.206559i 0.635875 0.771792i \(-0.280640\pi\)
−0.206950 + 0.978351i \(0.566354\pi\)
\(72\) 10.7693 2.40442i 1.26917 0.283364i
\(73\) −9.47692 2.92324i −1.10919 0.342140i −0.314562 0.949237i \(-0.601858\pi\)
−0.794627 + 0.607097i \(0.792334\pi\)
\(74\) −5.67054 + 5.26149i −0.659186 + 0.611636i
\(75\) −21.4105 + 9.28104i −2.47227 + 1.07168i
\(76\) −0.895218 11.9459i −0.102689 1.37028i
\(77\) 15.0370 + 0.338856i 1.71362 + 0.0386163i
\(78\) 1.36640 5.05162i 0.154715 0.571983i
\(79\) 2.50673 0.282029 0.141014 0.990008i \(-0.454964\pi\)
0.141014 + 0.990008i \(0.454964\pi\)
\(80\) 3.33750 5.78071i 0.373143 0.646303i
\(81\) 1.91950 + 8.79292i 0.213278 + 0.976992i
\(82\) 9.30692 23.7137i 1.02778 2.61874i
\(83\) −14.8875 4.59219i −1.63412 0.504058i −0.664212 0.747545i \(-0.731233\pi\)
−0.969904 + 0.243486i \(0.921709\pi\)
\(84\) −7.26134 14.6083i −0.792277 1.59390i
\(85\) −9.66076 + 2.97995i −1.04786 + 0.323221i
\(86\) −0.568732 + 7.58920i −0.0613280 + 0.818365i
\(87\) −1.52588 + 3.47489i −0.163592 + 0.372547i
\(88\) 7.63921 19.4644i 0.814342 2.07491i
\(89\) −1.32080 + 1.22552i −0.140005 + 0.129905i −0.747067 0.664749i \(-0.768538\pi\)
0.607062 + 0.794654i \(0.292348\pi\)
\(90\) 26.2577 + 15.3262i 2.76781 + 1.61552i
\(91\) −3.38929 0.0763771i −0.355294 0.00800650i
\(92\) −14.8406 + 2.23685i −1.54723 + 0.233208i
\(93\) −6.33678 2.23419i −0.657093 0.231675i
\(94\) 9.69777 + 4.67020i 1.00025 + 0.481694i
\(95\) 9.01762 11.3077i 0.925188 1.16015i
\(96\) 6.36012 0.701368i 0.649127 0.0715831i
\(97\) −3.17809 + 5.50461i −0.322686 + 0.558909i −0.981041 0.193799i \(-0.937919\pi\)
0.658355 + 0.752707i \(0.271252\pi\)
\(98\) −12.5929 + 10.6702i −1.27208 + 1.07785i
\(99\) 15.8461 + 6.30588i 1.59259 + 0.633764i
\(100\) 45.8309 14.1370i 4.58309 1.41370i
\(101\) −6.92123 1.04321i −0.688688 0.103803i −0.204630 0.978839i \(-0.565599\pi\)
−0.484057 + 0.875036i \(0.660837\pi\)
\(102\) 7.71602 + 5.72295i 0.764000 + 0.566656i
\(103\) −1.76628 4.50041i −0.174037 0.443439i 0.817065 0.576546i \(-0.195600\pi\)
−0.991102 + 0.133107i \(0.957505\pi\)
\(104\) −1.72185 + 4.38721i −0.168842 + 0.430201i
\(105\) 5.56974 18.8920i 0.543551 1.84367i
\(106\) −0.663962 1.69175i −0.0644896 0.164317i
\(107\) −1.87764 + 1.74220i −0.181519 + 0.168425i −0.765699 0.643199i \(-0.777607\pi\)
0.584180 + 0.811624i \(0.301416\pi\)
\(108\) −1.94048 18.3957i −0.186723 1.77012i
\(109\) −2.04940 1.90157i −0.196297 0.182137i 0.575900 0.817520i \(-0.304652\pi\)
−0.772197 + 0.635383i \(0.780842\pi\)
\(110\) 51.9076 24.9974i 4.94920 2.38341i
\(111\) 3.36337 + 4.57986i 0.319237 + 0.434702i
\(112\) 1.41462 + 3.85779i 0.133669 + 0.364527i
\(113\) −10.5648 + 9.80271i −0.993854 + 0.922162i −0.996966 0.0778336i \(-0.975200\pi\)
0.00311256 + 0.999995i \(0.499009\pi\)
\(114\) −13.7324 0.546392i −1.28616 0.0511743i
\(115\) −14.9714 10.2073i −1.39609 0.951840i
\(116\) 3.90009 6.75516i 0.362114 0.627201i
\(117\) −3.57165 1.42132i −0.330199 0.131401i
\(118\) −8.78713 + 4.23166i −0.808921 + 0.389556i
\(119\) 2.40362 5.74054i 0.220339 0.526235i
\(120\) −21.9924 16.3117i −2.00762 1.48905i
\(121\) 17.6137 12.0088i 1.60125 1.09171i
\(122\) 3.02244 + 13.2422i 0.273638 + 1.19889i
\(123\) −16.5234 8.78298i −1.48986 0.791934i
\(124\) 12.4422 + 5.99185i 1.11734 + 0.538084i
\(125\) 32.8097 + 15.8003i 2.93459 + 1.41322i
\(126\) −17.6018 + 6.36006i −1.56809 + 0.566599i
\(127\) −3.53623 + 1.70296i −0.313790 + 0.151113i −0.584149 0.811646i \(-0.698572\pi\)
0.270359 + 0.962759i \(0.412857\pi\)
\(128\) −20.4752 −1.80977
\(129\) 5.49042 + 1.05231i 0.483405 + 0.0926511i
\(130\) −11.6998 + 5.63434i −1.02614 + 0.494164i
\(131\) −0.799524 + 0.120509i −0.0698547 + 0.0105289i −0.183877 0.982949i \(-0.558865\pi\)
0.114022 + 0.993478i \(0.463627\pi\)
\(132\) −30.9516 16.4523i −2.69399 1.43199i
\(133\) 1.78509 + 8.72239i 0.154787 + 0.756327i
\(134\) −0.515276 + 2.25757i −0.0445131 + 0.195025i
\(135\) 13.3891 17.8745i 1.15235 1.53839i
\(136\) −6.34226 5.88475i −0.543844 0.504613i
\(137\) −5.53414 + 14.1008i −0.472813 + 1.20471i 0.473308 + 0.880897i \(0.343060\pi\)
−0.946122 + 0.323812i \(0.895036\pi\)
\(138\) 0.603067 + 17.2075i 0.0513364 + 1.46480i
\(139\) 5.51557 + 0.831338i 0.467824 + 0.0705132i 0.378724 0.925510i \(-0.376363\pi\)
0.0891000 + 0.996023i \(0.471601\pi\)
\(140\) −15.6346 + 37.3400i −1.32137 + 3.15581i
\(141\) 4.22240 6.68473i 0.355590 0.562956i
\(142\) −5.89743 + 7.39514i −0.494901 + 0.620587i
\(143\) −6.01863 + 4.10343i −0.503303 + 0.343146i
\(144\) −0.0220618 + 4.65909i −0.00183848 + 0.388257i
\(145\) 8.99908 2.77585i 0.747333 0.230522i
\(146\) 11.6925 20.2520i 0.967676 1.67606i
\(147\) 6.72908 + 10.0856i 0.555005 + 0.831847i
\(148\) −5.83933 10.1140i −0.479990 0.831367i
\(149\) −8.81302 8.17729i −0.721991 0.669910i 0.230985 0.972957i \(-0.425805\pi\)
−0.952975 + 0.303048i \(0.901996\pi\)
\(150\) −10.1015 54.0887i −0.824788 4.41632i
\(151\) −0.693283 9.25122i −0.0564186 0.752854i −0.951637 0.307225i \(-0.900599\pi\)
0.895218 0.445628i \(-0.147020\pi\)
\(152\) 12.2390 + 1.84473i 0.992714 + 0.149628i
\(153\) 4.82423 5.15015i 0.390016 0.416365i
\(154\) −8.66875 + 34.3896i −0.698548 + 2.77119i
\(155\) 6.09138 + 15.5206i 0.489271 + 1.24664i
\(156\) 6.97640 + 3.70829i 0.558559 + 0.296901i
\(157\) −6.79189 8.51676i −0.542052 0.679712i 0.433075 0.901358i \(-0.357428\pi\)
−0.975127 + 0.221646i \(0.928857\pi\)
\(158\) −1.31526 + 5.76252i −0.104636 + 0.458442i
\(159\) −1.29030 + 0.342462i −0.102327 + 0.0271590i
\(160\) −11.6394 10.7998i −0.920175 0.853797i
\(161\) 10.7301 3.04681i 0.845647 0.240122i
\(162\) −21.2205 0.200972i −1.66724 0.0157898i
\(163\) −5.02679 + 12.8081i −0.393729 + 1.00320i 0.587304 + 0.809366i \(0.300189\pi\)
−0.981033 + 0.193839i \(0.937906\pi\)
\(164\) 31.7773 + 21.6654i 2.48139 + 1.69178i
\(165\) −13.8829 39.9784i −1.08078 3.11232i
\(166\) 18.3680 31.8143i 1.42563 2.46927i
\(167\) 7.50023 + 5.11357i 0.580385 + 0.395700i 0.817625 0.575751i \(-0.195290\pi\)
−0.237240 + 0.971451i \(0.576243\pi\)
\(168\) 16.3846 3.95580i 1.26410 0.305196i
\(169\) −9.38452 + 6.39826i −0.721886 + 0.492174i
\(170\) −1.78146 23.7719i −0.136632 1.82322i
\(171\) −1.55187 + 9.97527i −0.118675 + 0.762828i
\(172\) −10.9794 3.38670i −0.837173 0.258234i
\(173\) −13.1565 6.33586i −1.00027 0.481706i −0.139242 0.990258i \(-0.544467\pi\)
−0.861031 + 0.508552i \(0.830181\pi\)
\(174\) −7.18753 5.33097i −0.544885 0.404140i
\(175\) −32.4559 + 14.7386i −2.45344 + 1.11413i
\(176\) 7.29478 + 4.97350i 0.549865 + 0.374891i
\(177\) 2.35015 + 6.76771i 0.176648 + 0.508692i
\(178\) −2.12425 3.67931i −0.159219 0.275776i
\(179\) 0.0412249 0.550109i 0.00308130 0.0411171i −0.995451 0.0952727i \(-0.969628\pi\)
0.998533 + 0.0541557i \(0.0172467\pi\)
\(180\) −31.3797 + 33.4998i −2.33891 + 2.49693i
\(181\) 3.36359 + 14.7369i 0.250014 + 1.09538i 0.931554 + 0.363602i \(0.118453\pi\)
−0.681540 + 0.731780i \(0.738690\pi\)
\(182\) 1.95391 7.75130i 0.144833 0.574565i
\(183\) 9.91720 1.09363i 0.733100 0.0808433i
\(184\) 1.15882 15.4633i 0.0854291 1.13997i
\(185\) 3.13757 13.7466i 0.230679 1.01067i
\(186\) 8.46086 13.3949i 0.620380 0.982160i
\(187\) −2.97560 13.0369i −0.217597 0.953356i
\(188\) −10.1320 + 12.7051i −0.738952 + 0.926616i
\(189\) 3.16315 + 13.3789i 0.230086 + 0.973170i
\(190\) 21.2630 + 26.6630i 1.54258 + 1.93434i
\(191\) 6.28713 7.88382i 0.454921 0.570453i −0.500486 0.865745i \(-0.666845\pi\)
0.955407 + 0.295292i \(0.0954168\pi\)
\(192\) −2.33979 + 20.3334i −0.168860 + 1.46744i
\(193\) 14.1648 17.7621i 1.01961 1.27854i 0.0597011 0.998216i \(-0.480985\pi\)
0.959904 0.280328i \(-0.0904433\pi\)
\(194\) −10.9866 10.1941i −0.788793 0.731893i
\(195\) 3.12916 + 9.01101i 0.224084 + 0.645292i
\(196\) −11.4748 22.1201i −0.819631 1.58000i
\(197\) −23.8590 −1.69988 −0.849942 0.526877i \(-0.823363\pi\)
−0.849942 + 0.526877i \(0.823363\pi\)
\(198\) −22.8104 + 33.1187i −1.62106 + 2.35364i
\(199\) 3.17046 + 8.07819i 0.224748 + 0.572648i 0.998119 0.0613056i \(-0.0195264\pi\)
−0.773371 + 0.633953i \(0.781431\pi\)
\(200\) 3.70323 + 49.4162i 0.261858 + 3.49425i
\(201\) 1.60418 + 0.565595i 0.113150 + 0.0398940i
\(202\) 6.02966 15.3633i 0.424245 1.08096i
\(203\) −2.23899 + 5.34736i −0.157146 + 0.375311i
\(204\) −11.0158 + 9.43453i −0.771258 + 0.660549i
\(205\) 10.3326 + 45.2703i 0.721664 + 3.16181i
\(206\) 11.2724 1.69904i 0.785386 0.118378i
\(207\) 12.6077 + 1.00488i 0.876299 + 0.0698438i
\(208\) −1.64422 1.12101i −0.114006 0.0777281i
\(209\) 14.0234 + 13.0118i 0.970018 + 0.900046i
\(210\) 40.5069 + 22.7163i 2.79524 + 1.56757i
\(211\) −8.17141 + 7.58196i −0.562543 + 0.521963i −0.909382 0.415961i \(-0.863445\pi\)
0.346840 + 0.937924i \(0.387255\pi\)
\(212\) 2.71313 0.408938i 0.186338 0.0280860i
\(213\) 4.90134 + 4.92461i 0.335835 + 0.337429i
\(214\) −3.01982 5.23049i −0.206431 0.357549i
\(215\) −6.93610 12.0137i −0.473038 0.819326i
\(216\) 18.9763 + 2.27472i 1.29117 + 0.154775i
\(217\) −9.73697 3.24544i −0.660989 0.220315i
\(218\) 5.44667 3.71348i 0.368895 0.251509i
\(219\) −13.7969 10.2331i −0.932309 0.691491i
\(220\) 19.3551 + 84.8004i 1.30492 + 5.71724i
\(221\) 0.670691 + 2.93849i 0.0451155 + 0.197664i
\(222\) −12.2930 + 5.32879i −0.825055 + 0.357645i
\(223\) 6.18619 4.21767i 0.414258 0.282436i −0.338203 0.941073i \(-0.609819\pi\)
0.752461 + 0.658637i \(0.228867\pi\)
\(224\) 9.69533 1.23865i 0.647797 0.0827605i
\(225\) −40.3192 + 2.82958i −2.68795 + 0.188639i
\(226\) −16.9914 29.4300i −1.13025 1.95766i
\(227\) 5.74021 + 9.94234i 0.380991 + 0.659896i 0.991204 0.132341i \(-0.0422494\pi\)
−0.610213 + 0.792237i \(0.708916\pi\)
\(228\) 5.41763 20.0291i 0.358791 1.32646i
\(229\) 18.8639 2.84327i 1.24656 0.187889i 0.507573 0.861609i \(-0.330543\pi\)
0.738987 + 0.673720i \(0.235305\pi\)
\(230\) 31.3203 29.0610i 2.06520 1.91622i
\(231\) 24.3677 + 9.21376i 1.60328 + 0.606221i
\(232\) 5.90786 + 5.48169i 0.387870 + 0.359891i
\(233\) −11.7590 8.01716i −0.770359 0.525222i 0.113183 0.993574i \(-0.463895\pi\)
−0.883542 + 0.468352i \(0.844848\pi\)
\(234\) 5.14139 7.46484i 0.336103 0.487992i
\(235\) −19.4007 + 2.92418i −1.26556 + 0.190753i
\(236\) −3.27651 14.3553i −0.213283 0.934453i
\(237\) 4.09473 + 1.44370i 0.265981 + 0.0937782i
\(238\) 11.9353 + 8.53751i 0.773653 + 0.553404i
\(239\) 0.641249 1.63388i 0.0414789 0.105687i −0.908633 0.417595i \(-0.862873\pi\)
0.950112 + 0.311909i \(0.100968\pi\)
\(240\) 8.78106 7.52060i 0.566815 0.485453i
\(241\) 0.411294 + 5.48834i 0.0264938 + 0.353535i 0.994658 + 0.103221i \(0.0329149\pi\)
−0.968165 + 0.250314i \(0.919466\pi\)
\(242\) 18.3644 + 46.7918i 1.18051 + 3.00789i
\(243\) −1.92860 + 15.4687i −0.123720 + 0.992317i
\(244\) −20.5064 −1.31279
\(245\) 8.00926 29.0003i 0.511693 1.85276i
\(246\) 28.8602 33.3760i 1.84006 2.12798i
\(247\) −3.16083 2.93282i −0.201119 0.186611i
\(248\) −8.89627 + 11.1556i −0.564914 + 0.708379i
\(249\) −21.6739 16.0755i −1.37353 1.01874i
\(250\) −53.5371 + 67.1335i −3.38599 + 4.24589i
\(251\) 16.6637 + 20.8956i 1.05180 + 1.31892i 0.945870 + 0.324545i \(0.105211\pi\)
0.105932 + 0.994373i \(0.466217\pi\)
\(252\) −3.44801 28.0446i −0.217204 1.76664i
\(253\) 14.9432 18.7381i 0.939469 1.17806i
\(254\) −2.05937 9.02270i −0.129217 0.566135i
\(255\) −17.4970 0.696181i −1.09571 0.0435965i
\(256\) 5.48412 24.0275i 0.342757 1.50172i
\(257\) −0.101862 + 1.35925i −0.00635397 + 0.0847878i −0.999479 0.0322686i \(-0.989727\pi\)
0.993125 + 0.117056i \(0.0373458\pi\)
\(258\) −5.29986 + 12.0694i −0.329955 + 0.751406i
\(259\) 5.25745 + 6.90627i 0.326682 + 0.429135i
\(260\) −4.36258 19.1137i −0.270556 1.18538i
\(261\) −4.49381 + 4.79741i −0.278160 + 0.296952i
\(262\) 0.142475 1.90119i 0.00880213 0.117456i
\(263\) 2.59130 + 4.48826i 0.159786 + 0.276758i 0.934792 0.355197i \(-0.115586\pi\)
−0.775005 + 0.631955i \(0.782253\pi\)
\(264\) 23.6887 27.3953i 1.45794 1.68607i
\(265\) 2.73705 + 1.86609i 0.168136 + 0.114633i
\(266\) −20.9879 0.472958i −1.28685 0.0289989i
\(267\) −2.86334 + 1.24120i −0.175233 + 0.0759602i
\(268\) −3.14980 1.51686i −0.192405 0.0926572i
\(269\) −16.0157 4.94019i −0.976494 0.301208i −0.234872 0.972026i \(-0.575467\pi\)
−0.741622 + 0.670818i \(0.765943\pi\)
\(270\) 34.0651 + 40.1578i 2.07314 + 2.44393i
\(271\) −0.314129 4.19177i −0.0190820 0.254632i −0.998584 0.0531973i \(-0.983059\pi\)
0.979502 0.201434i \(-0.0645603\pi\)
\(272\) 3.01836 2.05789i 0.183015 0.124778i
\(273\) −5.49240 2.07675i −0.332415 0.125691i
\(274\) −29.5114 20.1206i −1.78285 1.21553i
\(275\) −38.2957 + 66.3300i −2.30932 + 3.99985i
\(276\) −25.5302 4.89322i −1.53674 0.294537i
\(277\) −19.7160 13.4421i −1.18462 0.807660i −0.199562 0.979885i \(-0.563952\pi\)
−0.985058 + 0.172225i \(0.944904\pi\)
\(278\) −4.80507 + 12.2431i −0.288189 + 0.734294i
\(279\) −9.06436 7.29907i −0.542669 0.436984i
\(280\) −34.0184 24.3338i −2.03299 1.45422i
\(281\) −6.82065 6.32864i −0.406886 0.377535i 0.450011 0.893023i \(-0.351420\pi\)
−0.856897 + 0.515488i \(0.827611\pi\)
\(282\) 13.1516 + 13.2140i 0.783164 + 0.786881i
\(283\) −4.30189 + 18.8478i −0.255721 + 1.12038i 0.670055 + 0.742311i \(0.266271\pi\)
−0.925776 + 0.378074i \(0.876587\pi\)
\(284\) −8.90362 11.1648i −0.528332 0.662508i
\(285\) 21.2427 13.2776i 1.25831 0.786498i
\(286\) −6.27514 15.9888i −0.371057 0.945438i
\(287\) −25.4674 12.9792i −1.50329 0.766138i
\(288\) 10.7932 + 2.51730i 0.635993 + 0.148333i
\(289\) 11.3389 + 1.70906i 0.666994 + 0.100533i
\(290\) 1.65945 + 22.1438i 0.0974460 + 1.30033i
\(291\) −8.36166 + 7.16140i −0.490169 + 0.419809i
\(292\) 25.8806 + 24.0137i 1.51455 + 1.40530i
\(293\) −11.8906 20.5951i −0.694655 1.20318i −0.970297 0.241917i \(-0.922224\pi\)
0.275642 0.961260i \(-0.411109\pi\)
\(294\) −26.7157 + 10.1771i −1.55809 + 0.593542i
\(295\) 8.88874 15.3958i 0.517523 0.896376i
\(296\) 11.5305 3.55668i 0.670196 0.206728i
\(297\) 22.2527 + 19.4268i 1.29123 + 1.12726i
\(298\) 23.4223 15.9690i 1.35682 0.925061i
\(299\) −3.36814 + 4.22352i −0.194785 + 0.244252i
\(300\) 83.0064 + 3.30270i 4.79238 + 0.190681i
\(301\) 8.41322 + 1.46265i 0.484930 + 0.0843056i
\(302\) 21.6307 + 3.26030i 1.24471 + 0.187609i
\(303\) −10.7050 5.69021i −0.614985 0.326894i
\(304\) −1.90932 + 4.86487i −0.109507 + 0.279020i
\(305\) −18.1491 16.8399i −1.03921 0.964248i
\(306\) 9.30806 + 13.7923i 0.532107 + 0.788453i
\(307\) −3.13605 + 13.7399i −0.178984 + 0.784178i 0.803117 + 0.595821i \(0.203173\pi\)
−0.982101 + 0.188357i \(0.939684\pi\)
\(308\) −47.7055 24.3127i −2.71827 1.38534i
\(309\) −0.293293 8.36865i −0.0166849 0.476076i
\(310\) −38.8752 + 5.85949i −2.20796 + 0.332797i
\(311\) 4.06084 1.95560i 0.230269 0.110892i −0.315192 0.949028i \(-0.602069\pi\)
0.545461 + 0.838136i \(0.316355\pi\)
\(312\) −5.33936 + 6.17482i −0.302282 + 0.349580i
\(313\) −10.8848 −0.615247 −0.307624 0.951508i \(-0.599534\pi\)
−0.307624 + 0.951508i \(0.599534\pi\)
\(314\) 23.1422 11.1447i 1.30599 0.628931i
\(315\) 19.9786 27.6522i 1.12567 1.55802i
\(316\) −8.03995 3.87184i −0.452283 0.217808i
\(317\) 17.7819 + 8.56333i 0.998733 + 0.480965i 0.860508 0.509436i \(-0.170146\pi\)
0.138225 + 0.990401i \(0.455860\pi\)
\(318\) −0.110252 3.14585i −0.00618261 0.176411i
\(319\) 2.77179 + 12.1440i 0.155191 + 0.679935i
\(320\) 41.9641 28.6107i 2.34587 1.59939i
\(321\) −4.07050 + 1.76448i −0.227193 + 0.0984838i
\(322\) 1.37410 + 26.2652i 0.0765756 + 1.46370i
\(323\) 7.13161 3.43440i 0.396813 0.191095i
\(324\) 7.42484 31.1668i 0.412491 1.73149i
\(325\) 8.63172 14.9506i 0.478802 0.829309i
\(326\) −26.8060 18.2760i −1.48464 1.01221i
\(327\) −2.25252 4.28651i −0.124565 0.237045i
\(328\) −29.1298 + 27.0285i −1.60842 + 1.49240i
\(329\) 6.27287 10.3207i 0.345835 0.569001i
\(330\) 99.1876 10.9380i 5.46010 0.602117i
\(331\) −3.46841 + 1.67030i −0.190641 + 0.0918078i −0.526769 0.850008i \(-0.676597\pi\)
0.336128 + 0.941816i \(0.390882\pi\)
\(332\) 40.6565 + 37.7237i 2.23131 + 2.07036i
\(333\) 2.85638 + 9.41825i 0.156528 + 0.516117i
\(334\) −15.6905 + 14.5587i −0.858546 + 0.796614i
\(335\) −1.54206 3.92910i −0.0842517 0.214670i
\(336\) 0.0889688 + 7.11640i 0.00485365 + 0.388231i
\(337\) −8.34239 + 21.2561i −0.454439 + 1.15789i 0.501716 + 0.865032i \(0.332702\pi\)
−0.956155 + 0.292860i \(0.905393\pi\)
\(338\) −9.78449 24.9305i −0.532206 1.35604i
\(339\) −22.9032 + 9.92810i −1.24393 + 0.539220i
\(340\) 35.5882 + 5.36406i 1.93004 + 0.290907i
\(341\) −21.0735 + 6.50031i −1.14119 + 0.352012i
\(342\) −22.1171 8.80142i −1.19596 0.475926i
\(343\) 10.5428 + 15.2266i 0.569260 + 0.822158i
\(344\) 5.93576 10.2810i 0.320035 0.554317i
\(345\) −18.5770 25.2961i −1.00015 1.36190i
\(346\) 21.4682 26.9202i 1.15413 1.44724i
\(347\) 18.4611 + 8.89039i 0.991043 + 0.477261i 0.857890 0.513834i \(-0.171775\pi\)
0.133154 + 0.991095i \(0.457490\pi\)
\(348\) 10.2613 8.78834i 0.550062 0.471104i
\(349\) 8.90845 1.34273i 0.476859 0.0718749i 0.0937845 0.995593i \(-0.470104\pi\)
0.383074 + 0.923718i \(0.374865\pi\)
\(350\) −16.8521 82.3436i −0.900784 4.40145i
\(351\) −5.01569 4.37874i −0.267718 0.233720i
\(352\) 15.3952 14.2847i 0.820568 0.761376i
\(353\) 8.94786 22.7988i 0.476247 1.21346i −0.467856 0.883805i \(-0.654973\pi\)
0.944103 0.329652i \(-0.106931\pi\)
\(354\) −16.7909 + 1.85163i −0.892425 + 0.0984130i
\(355\) 1.28843 17.1930i 0.0683830 0.912507i
\(356\) 6.12919 1.89061i 0.324847 0.100202i
\(357\) 7.23244 7.99283i 0.382781 0.423026i
\(358\) 1.24297 + 0.383406i 0.0656931 + 0.0202637i
\(359\) 6.35761 16.1989i 0.335542 0.854946i −0.659147 0.752014i \(-0.729082\pi\)
0.994688 0.102932i \(-0.0328224\pi\)
\(360\) −26.5301 39.3111i −1.39826 2.07188i
\(361\) 3.83809 6.64777i 0.202005 0.349883i
\(362\) −35.6423 −1.87332
\(363\) 35.6882 9.47212i 1.87314 0.497157i
\(364\) 10.7527 + 5.47999i 0.563593 + 0.287230i
\(365\) 3.18541 + 42.5063i 0.166732 + 2.22488i
\(366\) −2.68941 + 23.3717i −0.140578 + 1.22166i
\(367\) 15.1709 14.0765i 0.791913 0.734787i −0.176457 0.984308i \(-0.556464\pi\)
0.968369 + 0.249521i \(0.0802731\pi\)
\(368\) 6.25662 + 1.92991i 0.326149 + 0.100604i
\(369\) −21.9325 23.8633i −1.14176 1.24227i
\(370\) 29.9547 + 14.4254i 1.55727 + 0.749943i
\(371\) −1.96165 + 0.557012i −0.101844 + 0.0289186i
\(372\) 16.8734 + 16.9535i 0.874845 + 0.878997i
\(373\) 12.1103 20.9756i 0.627047 1.08608i −0.361094 0.932529i \(-0.617597\pi\)
0.988141 0.153548i \(-0.0490700\pi\)
\(374\) 31.5309 1.63043
\(375\) 44.4946 + 44.7058i 2.29769 + 2.30860i
\(376\) −10.4685 13.1271i −0.539874 0.676980i
\(377\) −0.624754 2.73722i −0.0321764 0.140974i
\(378\) −32.4154 + 0.251747i −1.66727 + 0.0129484i
\(379\) 0.824185 3.61099i 0.0423356 0.185484i −0.949339 0.314254i \(-0.898246\pi\)
0.991675 + 0.128770i \(0.0411028\pi\)
\(380\) −46.3884 + 22.3395i −2.37967 + 1.14599i
\(381\) −6.75720 + 0.745157i −0.346182 + 0.0381755i
\(382\) 14.8247 + 18.5896i 0.758498 + 0.951126i
\(383\) 0.393739 + 0.121452i 0.0201191 + 0.00620592i 0.304798 0.952417i \(-0.401411\pi\)
−0.284679 + 0.958623i \(0.591887\pi\)
\(384\) −33.4462 11.7923i −1.70679 0.601772i
\(385\) −22.2559 60.6935i −1.13426 3.09323i
\(386\) 33.3998 + 41.8820i 1.70001 + 2.13174i
\(387\) 8.36252 + 4.88104i 0.425091 + 0.248117i
\(388\) 18.6956 12.7464i 0.949123 0.647101i
\(389\) 7.98882 + 1.20412i 0.405049 + 0.0610513i 0.348407 0.937343i \(-0.386723\pi\)
0.0566418 + 0.998395i \(0.481961\pi\)
\(390\) −22.3566 + 2.46539i −1.13207 + 0.124840i
\(391\) −4.95841 8.58822i −0.250758 0.434325i
\(392\) 24.9200 6.47305i 1.25865 0.326938i
\(393\) −1.37542 0.263619i −0.0693809 0.0132978i
\(394\) 12.5186 54.8476i 0.630679 2.76318i
\(395\) −3.93615 10.0291i −0.198049 0.504621i
\(396\) −41.0840 44.7007i −2.06455 2.24629i
\(397\) −28.9169 4.35851i −1.45130 0.218748i −0.624401 0.781104i \(-0.714657\pi\)
−0.826895 + 0.562357i \(0.809895\pi\)
\(398\) −20.2338 + 3.04976i −1.01423 + 0.152871i
\(399\) −2.10755 + 15.2761i −0.105509 + 0.764760i
\(400\) −20.6902 3.11854i −1.03451 0.155927i
\(401\) 11.0715 + 3.41510i 0.552883 + 0.170542i 0.558593 0.829442i \(-0.311341\pi\)
−0.00570998 + 0.999984i \(0.501818\pi\)
\(402\) −2.14190 + 3.39097i −0.106828 + 0.169126i
\(403\) 4.74990 1.46515i 0.236609 0.0729843i
\(404\) 20.5875 + 14.0363i 1.02427 + 0.698333i
\(405\) 32.1655 21.4867i 1.59832 1.06768i
\(406\) −11.1179 7.95275i −0.551770 0.394689i
\(407\) 17.8214 + 5.49718i 0.883375 + 0.272485i
\(408\) −6.97084 13.2654i −0.345108 0.656735i
\(409\) 24.4393 11.7694i 1.20845 0.581958i 0.282375 0.959304i \(-0.408878\pi\)
0.926072 + 0.377346i \(0.123163\pi\)
\(410\) −109.490 −5.40732
\(411\) −17.1610 + 19.8462i −0.846491 + 0.978943i
\(412\) −1.28616 + 17.1626i −0.0633644 + 0.845539i
\(413\) 3.76756 + 10.2744i 0.185390 + 0.505572i
\(414\) −8.92521 + 28.4557i −0.438650 + 1.39852i
\(415\) 5.00403 + 66.7741i 0.245638 + 3.27781i
\(416\) −3.47004 + 3.21972i −0.170132 + 0.157860i
\(417\) 8.53086 + 4.53456i 0.417758 + 0.222058i
\(418\) −37.2698 + 25.4101i −1.82293 + 1.24285i
\(419\) −0.271554 3.62364i −0.0132663 0.177027i −0.999901 0.0140781i \(-0.995519\pi\)
0.986635 0.162948i \(-0.0521004\pi\)
\(420\) −47.0443 + 51.9903i −2.29552 + 2.53687i
\(421\) −2.10404 + 28.0765i −0.102545 + 1.36836i 0.674201 + 0.738548i \(0.264488\pi\)
−0.776745 + 0.629815i \(0.783131\pi\)
\(422\) −13.1421 22.7628i −0.639748 1.10808i
\(423\) 10.7472 8.48767i 0.522547 0.412684i
\(424\) −0.211853 + 2.82698i −0.0102885 + 0.137290i
\(425\) 19.7591 + 24.7772i 0.958460 + 1.20187i
\(426\) −13.8925 + 8.68343i −0.673094 + 0.420713i
\(427\) 15.1177 1.93139i 0.731598 0.0934667i
\(428\) 8.71322 2.68767i 0.421170 0.129914i
\(429\) −12.1947 + 3.23663i −0.588765 + 0.156266i
\(430\) 31.2566 9.64139i 1.50733 0.464949i
\(431\) −5.35975 + 0.807852i −0.258170 + 0.0389129i −0.276852 0.960913i \(-0.589291\pi\)
0.0186818 + 0.999825i \(0.494053\pi\)
\(432\) −2.71934 + 7.59789i −0.130834 + 0.365554i
\(433\) −11.3252 + 14.2013i −0.544254 + 0.682473i −0.975560 0.219733i \(-0.929481\pi\)
0.431306 + 0.902206i \(0.358053\pi\)
\(434\) 12.5696 20.6807i 0.603360 0.992707i
\(435\) 16.2986 + 0.648498i 0.781460 + 0.0310931i
\(436\) 3.63603 + 9.26446i 0.174134 + 0.443687i
\(437\) 12.7820 + 6.15547i 0.611444 + 0.294456i
\(438\) 30.7633 26.3474i 1.46993 1.25893i
\(439\) −0.165967 + 0.727149i −0.00792118 + 0.0347049i −0.978734 0.205133i \(-0.934237\pi\)
0.970813 + 0.239838i \(0.0770944\pi\)
\(440\) −89.8703 −4.28440
\(441\) 5.18332 + 20.3503i 0.246825 + 0.969060i
\(442\) −7.10697 −0.338044
\(443\) −7.19337 + 31.5162i −0.341767 + 1.49738i 0.453574 + 0.891219i \(0.350149\pi\)
−0.795341 + 0.606162i \(0.792708\pi\)
\(444\) −3.71356 19.8842i −0.176238 0.943664i
\(445\) 6.97716 + 3.36002i 0.330749 + 0.159280i
\(446\) 6.44984 + 16.4339i 0.305409 + 0.778169i
\(447\) −9.68649 18.4332i −0.458155 0.871862i
\(448\) −3.03823 + 31.1168i −0.143543 + 1.47013i
\(449\) 22.9440 28.7708i 1.08279 1.35778i 0.153623 0.988130i \(-0.450906\pi\)
0.929171 0.369651i \(-0.120523\pi\)
\(450\) 14.6504 94.1714i 0.690628 4.43928i
\(451\) −60.7322 + 9.15390i −2.85977 + 0.431040i
\(452\) 49.0261 15.1226i 2.30600 0.711305i
\(453\) 4.19557 15.5111i 0.197125 0.728775i
\(454\) −25.8675 + 7.97908i −1.21402 + 0.374477i
\(455\) 5.01640 + 13.6801i 0.235173 + 0.641334i
\(456\) 18.9299 + 10.0622i 0.886474 + 0.471204i
\(457\) −14.8561 18.6290i −0.694939 0.871427i 0.301695 0.953405i \(-0.402448\pi\)
−0.996634 + 0.0819780i \(0.973876\pi\)
\(458\) −3.36153 + 44.8566i −0.157074 + 2.09601i
\(459\) 10.8465 5.63434i 0.506270 0.262988i
\(460\) 32.2526 + 55.8631i 1.50378 + 2.60463i
\(461\) −2.79857 + 37.3443i −0.130342 + 1.73930i 0.422812 + 0.906218i \(0.361043\pi\)
−0.553154 + 0.833079i \(0.686576\pi\)
\(462\) −33.9663 + 51.1826i −1.58026 + 2.38123i
\(463\) −0.155199 2.07099i −0.00721272 0.0962470i 0.992436 0.122767i \(-0.0391766\pi\)
−0.999648 + 0.0265195i \(0.991558\pi\)
\(464\) −2.81163 + 1.91694i −0.130527 + 0.0889915i
\(465\) 1.01148 + 28.8610i 0.0469063 + 1.33840i
\(466\) 24.5999 22.8254i 1.13957 1.05736i
\(467\) 2.28150 + 30.4445i 0.105575 + 1.40880i 0.758644 + 0.651506i \(0.225862\pi\)
−0.653069 + 0.757299i \(0.726519\pi\)
\(468\) 9.26020 + 10.0754i 0.428053 + 0.465735i
\(469\) 2.46496 + 0.821597i 0.113821 + 0.0379378i
\(470\) 3.45720 46.1331i 0.159469 2.12796i
\(471\) −6.18947 17.8237i −0.285196 0.821275i
\(472\) 15.2136 0.700262
\(473\) 16.5314 7.96113i 0.760117 0.366053i
\(474\) −5.46727 + 8.65556i −0.251120 + 0.397563i
\(475\) −43.3229 13.3633i −1.98779 0.613152i
\(476\) −16.5760 + 14.6994i −0.759758 + 0.673744i
\(477\) −2.30493 0.183710i −0.105535 0.00841150i
\(478\) 3.41953 + 2.33140i 0.156406 + 0.106636i
\(479\) 16.1069 4.96831i 0.735941 0.227008i 0.0959459 0.995387i \(-0.469412\pi\)
0.639995 + 0.768379i \(0.278936\pi\)
\(480\) −12.7930 24.3448i −0.583917 1.11119i
\(481\) −4.01689 1.23905i −0.183154 0.0564956i
\(482\) −12.8325 1.93419i −0.584506 0.0881001i
\(483\) 19.2822 + 1.20281i 0.877373 + 0.0547299i
\(484\) −75.0421 + 11.3108i −3.41100 + 0.514126i
\(485\) 27.0137 + 4.07166i 1.22663 + 0.184885i
\(486\) −34.5479 12.5498i −1.56712 0.569271i
\(487\) 5.25186 + 13.3815i 0.237985 + 0.606375i 0.999108 0.0422326i \(-0.0134470\pi\)
−0.761123 + 0.648607i \(0.775352\pi\)
\(488\) 4.71467 20.6563i 0.213423 0.935068i
\(489\) −15.5878 + 18.0268i −0.704904 + 0.815201i
\(490\) 62.4642 + 33.6281i 2.82185 + 1.51916i
\(491\) −3.91473 6.78051i −0.176669 0.306000i 0.764068 0.645135i \(-0.223199\pi\)
−0.940738 + 0.339135i \(0.889866\pi\)
\(492\) 39.4303 + 53.6918i 1.77766 + 2.42061i
\(493\) 5.09649 + 0.768173i 0.229534 + 0.0345968i
\(494\) 8.40050 5.72736i 0.377956 0.257686i
\(495\) 0.347091 73.3001i 0.0156006 3.29460i
\(496\) −3.75634 4.71030i −0.168665 0.211499i
\(497\) 7.61547 + 7.39230i 0.341601 + 0.331590i
\(498\) 48.3268 41.3898i 2.16557 1.85472i
\(499\) −16.9599 5.23144i −0.759231 0.234192i −0.109117 0.994029i \(-0.534802\pi\)
−0.650113 + 0.759837i \(0.725279\pi\)
\(500\) −80.8274 101.354i −3.61471 4.53271i
\(501\) 9.30653 + 12.6726i 0.415785 + 0.566170i
\(502\) −56.7786 + 27.3431i −2.53415 + 1.22038i
\(503\) 7.54029 33.0362i 0.336205 1.47301i −0.470682 0.882303i \(-0.655992\pi\)
0.806886 0.590707i \(-0.201151\pi\)
\(504\) 29.0424 + 2.97457i 1.29365 + 0.132498i
\(505\) 6.69419 + 29.3292i 0.297888 + 1.30513i
\(506\) 35.2351 + 44.1835i 1.56639 + 1.96419i
\(507\) −19.0145 + 5.04670i −0.844464 + 0.224132i
\(508\) 13.9723 0.619921
\(509\) −11.1779 + 19.3608i −0.495454 + 0.858151i −0.999986 0.00524186i \(-0.998331\pi\)
0.504533 + 0.863393i \(0.331665\pi\)
\(510\) 10.7809 39.8573i 0.477388 1.76491i
\(511\) −21.3414 15.2658i −0.944089 0.675320i
\(512\) 15.4624 + 7.44632i 0.683350 + 0.329084i
\(513\) −8.28002 + 15.4008i −0.365572 + 0.679961i
\(514\) −3.07123 0.947350i −0.135466 0.0417858i
\(515\) −15.2322 + 14.1334i −0.671210 + 0.622792i
\(516\) −15.9843 11.8555i −0.703671 0.521911i
\(517\) −1.93931 25.8783i −0.0852906 1.13812i
\(518\) −18.6348 + 8.46230i −0.818768 + 0.371812i
\(519\) −17.8421 17.9268i −0.783183 0.786901i
\(520\) 20.2565 0.888305
\(521\) 7.14257 12.3713i 0.312922 0.541996i −0.666072 0.745888i \(-0.732026\pi\)
0.978994 + 0.203891i \(0.0653590\pi\)
\(522\) −8.67054 12.8476i −0.379499 0.562325i
\(523\) 9.87267 25.1551i 0.431702 1.09996i −0.535181 0.844737i \(-0.679757\pi\)
0.966883 0.255221i \(-0.0821481\pi\)
\(524\) 2.75049 + 0.848414i 0.120156 + 0.0370631i
\(525\) −61.5050 + 5.38313i −2.68430 + 0.234939i
\(526\) −11.6773 + 3.60198i −0.509156 + 0.157054i
\(527\) −0.681911 + 9.09947i −0.0297045 + 0.396379i
\(528\) 9.05160 + 12.3255i 0.393921 + 0.536397i
\(529\) −1.90931 + 4.86484i −0.0830135 + 0.211515i
\(530\) −5.72592 + 5.31288i −0.248718 + 0.230777i
\(531\) −0.0587570 + 12.4085i −0.00254984 + 0.538485i
\(532\) 7.74702 30.7330i 0.335876 1.33244i
\(533\) 13.6888 2.06326i 0.592929 0.0893697i
\(534\) −1.35093 7.23355i −0.0584605 0.313027i
\(535\) 9.91869 + 4.77659i 0.428822 + 0.206510i
\(536\) 2.25213 2.82408i 0.0972771 0.121982i
\(537\) 0.384164 0.874857i 0.0165779 0.0377529i
\(538\) 19.7599 34.2252i 0.851910 1.47555i
\(539\) 37.4593 + 13.4306i 1.61349 + 0.578497i
\(540\) −70.5521 + 36.6492i −3.03608 + 1.57713i
\(541\) 7.06959 2.18068i 0.303945 0.0937547i −0.139031 0.990288i \(-0.544399\pi\)
0.442976 + 0.896533i \(0.353923\pi\)
\(542\) 9.80095 + 1.47726i 0.420987 + 0.0634536i
\(543\) −2.99298 + 26.0098i −0.128441 + 1.11619i
\(544\) −3.17475 8.08912i −0.136116 0.346818i
\(545\) −4.38993 + 11.1854i −0.188044 + 0.479128i
\(546\) 7.65590 11.5364i 0.327642 0.493713i
\(547\) 15.6292 + 39.8225i 0.668256 + 1.70269i 0.710610 + 0.703586i \(0.248419\pi\)
−0.0423544 + 0.999103i \(0.513486\pi\)
\(548\) 39.5297 36.6782i 1.68862 1.56681i
\(549\) 16.8295 + 3.92517i 0.718267 + 0.167522i
\(550\) −132.388 122.838i −5.64503 5.23782i
\(551\) −6.64315 + 3.19917i −0.283008 + 0.136289i
\(552\) 10.7987 24.5919i 0.459623 1.04670i
\(553\) 6.29188 + 2.09715i 0.267558 + 0.0891799i
\(554\) 41.2459 38.2706i 1.75237 1.62596i
\(555\) 13.0423 20.6480i 0.553613 0.876457i
\(556\) −16.4063 11.1856i −0.695782 0.474376i
\(557\) 1.34725 2.33350i 0.0570847 0.0988737i −0.836071 0.548622i \(-0.815153\pi\)
0.893156 + 0.449748i \(0.148486\pi\)
\(558\) 21.5353 17.0076i 0.911661 0.719990i
\(559\) −3.72614 + 1.79441i −0.157599 + 0.0758956i
\(560\) 13.2133 11.7174i 0.558364 0.495150i
\(561\) 2.64773 23.0095i 0.111787 0.971463i
\(562\) 18.1272 12.3589i 0.764648 0.521328i
\(563\) 7.39536 + 32.4012i 0.311677 + 1.36555i 0.851759 + 0.523935i \(0.175536\pi\)
−0.540081 + 0.841613i \(0.681606\pi\)
\(564\) −23.8678 + 14.9184i −1.00502 + 0.628180i
\(565\) 55.8088 + 26.8761i 2.34790 + 1.13069i
\(566\) −41.0706 19.7786i −1.72633 0.831355i
\(567\) −2.53829 + 23.6761i −0.106598 + 0.994302i
\(568\) 13.2935 6.40179i 0.557781 0.268613i
\(569\) 43.8836 1.83969 0.919847 0.392277i \(-0.128312\pi\)
0.919847 + 0.392277i \(0.128312\pi\)
\(570\) 19.3771 + 55.7999i 0.811615 + 2.33720i
\(571\) 2.94223 1.41690i 0.123128 0.0592955i −0.371305 0.928511i \(-0.621090\pi\)
0.494434 + 0.869215i \(0.335375\pi\)
\(572\) 25.6419 3.86490i 1.07214 0.161600i
\(573\) 14.8105 9.25723i 0.618718 0.386726i
\(574\) 43.1994 51.7349i 1.80311 2.15937i
\(575\) −12.6392 + 55.3760i −0.527091 + 2.30934i
\(576\) −15.5327 + 31.8670i −0.647194 + 1.32779i
\(577\) 24.8154 + 23.0253i 1.03308 + 0.958557i 0.999165 0.0408678i \(-0.0130122\pi\)
0.0339142 + 0.999425i \(0.489203\pi\)
\(578\) −9.87826 + 25.1694i −0.410881 + 1.04691i
\(579\) 33.3679 20.8564i 1.38672 0.866762i
\(580\) −33.1507 4.99667i −1.37651 0.207475i
\(581\) −33.5257 23.9814i −1.39088 0.994916i
\(582\) −12.0755 22.9795i −0.500546 0.952531i
\(583\) −2.73189 + 3.42568i −0.113143 + 0.141877i
\(584\) −30.1395 + 20.5488i −1.24718 + 0.850315i
\(585\) −0.0782333 + 16.5216i −0.00323455 + 0.683085i
\(586\) 53.5833 16.5283i 2.21351 0.682777i
\(587\) 11.3098 19.5891i 0.466805 0.808529i −0.532476 0.846445i \(-0.678739\pi\)
0.999281 + 0.0379157i \(0.0120718\pi\)
\(588\) −6.00449 42.7417i −0.247621 1.76264i
\(589\) −6.52705 11.3052i −0.268943 0.465822i
\(590\) 30.7283 + 28.5117i 1.26506 + 1.17381i
\(591\) −38.9736 13.7411i −1.60316 0.565233i
\(592\) 0.380747 + 5.08071i 0.0156486 + 0.208816i
\(593\) 30.2171 + 4.55450i 1.24087 + 0.187031i 0.736488 0.676450i \(-0.236483\pi\)
0.504381 + 0.863481i \(0.331721\pi\)
\(594\) −56.3347 + 40.9620i −2.31144 + 1.68069i
\(595\) −26.7415 0.602617i −1.09630 0.0247049i
\(596\) 15.6360 + 39.8398i 0.640475 + 1.63190i
\(597\) 0.526458 + 15.0216i 0.0215465 + 0.614795i
\(598\) −7.94189 9.95881i −0.324768 0.407246i
\(599\) −4.77165 + 20.9060i −0.194964 + 0.854195i 0.778915 + 0.627129i \(0.215770\pi\)
−0.973879 + 0.227065i \(0.927087\pi\)
\(600\) −22.4110 + 82.8539i −0.914926 + 3.38250i
\(601\) 17.4913 + 16.2295i 0.713483 + 0.662016i 0.950938 0.309383i \(-0.100123\pi\)
−0.237454 + 0.971399i \(0.576313\pi\)
\(602\) −7.77671 + 18.5731i −0.316955 + 0.756982i
\(603\) 2.29468 + 1.84779i 0.0934467 + 0.0752479i
\(604\) −12.0656 + 30.7427i −0.490944 + 1.25090i
\(605\) −75.7038 51.6140i −3.07780 2.09841i
\(606\) 18.6976 21.6232i 0.759538 0.878384i
\(607\) −9.09201 + 15.7478i −0.369033 + 0.639185i −0.989415 0.145116i \(-0.953645\pi\)
0.620381 + 0.784300i \(0.286978\pi\)
\(608\) 10.2714 + 7.00295i 0.416562 + 0.284007i
\(609\) −6.73708 + 7.44539i −0.273000 + 0.301702i
\(610\) 48.2345 32.8857i 1.95296 1.33150i
\(611\) 0.437114 + 5.83288i 0.0176837 + 0.235973i
\(612\) −23.4278 + 9.06695i −0.947013 + 0.366510i
\(613\) 28.7978 + 8.88295i 1.16313 + 0.358779i 0.815447 0.578832i \(-0.196491\pi\)
0.347686 + 0.937611i \(0.386967\pi\)
\(614\) −29.9402 14.4184i −1.20829 0.581881i
\(615\) −9.19415 + 79.8997i −0.370744 + 3.22187i
\(616\) 35.4585 42.4645i 1.42866 1.71094i
\(617\) 13.5547 + 9.24146i 0.545693 + 0.372047i 0.804565 0.593865i \(-0.202398\pi\)
−0.258872 + 0.965912i \(0.583351\pi\)
\(618\) 19.3919 + 3.71673i 0.780058 + 0.149509i
\(619\) −16.0987 27.8838i −0.647063 1.12075i −0.983821 0.179154i \(-0.942664\pi\)
0.336758 0.941591i \(-0.390669\pi\)
\(620\) 4.43557 59.1886i 0.178137 2.37707i
\(621\) 20.0160 + 8.90263i 0.803213 + 0.357250i
\(622\) 2.36489 + 10.3613i 0.0948234 + 0.415448i
\(623\) −4.34049 + 1.97107i −0.173898 + 0.0789692i
\(624\) −2.04020 2.77812i −0.0816735 0.111214i
\(625\) 6.66235 88.9028i 0.266494 3.55611i
\(626\) 5.71118 25.0223i 0.228265 1.00009i
\(627\) 15.4133 + 29.3312i 0.615546 + 1.17138i
\(628\) 8.62917 + 37.8069i 0.344342 + 1.50866i
\(629\) 4.81135 6.03324i 0.191841 0.240561i
\(630\) 53.0849 + 60.4361i 2.11495 + 2.40783i
\(631\) −30.9839 38.8526i −1.23345 1.54670i −0.731587 0.681748i \(-0.761220\pi\)
−0.501862 0.864948i \(-0.667351\pi\)
\(632\) 5.74863 7.20855i 0.228668 0.286741i
\(633\) −17.7146 + 7.67894i −0.704093 + 0.305210i
\(634\) −29.0156 + 36.3844i −1.15236 + 1.44501i
\(635\) 12.3661 + 11.4740i 0.490733 + 0.455334i
\(636\) 4.66740 + 0.894571i 0.185074 + 0.0354720i
\(637\) −8.44321 3.02722i −0.334532 0.119943i
\(638\) −29.3713 −1.16282
\(639\) 5.17010 + 10.8672i 0.204526 + 0.429898i
\(640\) 32.1509 + 81.9191i 1.27088 + 3.23814i
\(641\) −0.758216 10.1177i −0.0299477 0.399625i −0.991954 0.126598i \(-0.959594\pi\)
0.962006 0.273027i \(-0.0880248\pi\)
\(642\) −1.92048 10.2832i −0.0757951 0.405845i
\(643\) 5.14414 13.1071i 0.202865 0.516892i −0.792845 0.609424i \(-0.791401\pi\)
0.995710 + 0.0925320i \(0.0294960\pi\)
\(644\) −39.1211 6.80125i −1.54159 0.268007i
\(645\) −4.41106 23.6190i −0.173685 0.929996i
\(646\) 4.15319 + 18.1963i 0.163405 + 0.715924i
\(647\) −31.3436 + 4.72428i −1.23224 + 0.185731i −0.732696 0.680556i \(-0.761738\pi\)
−0.499547 + 0.866287i \(0.666500\pi\)
\(648\) 29.6876 + 14.6448i 1.16624 + 0.575300i
\(649\) 19.4282 + 13.2459i 0.762622 + 0.519947i
\(650\) 29.8398 + 27.6872i 1.17041 + 1.08598i
\(651\) −14.0362 10.9092i −0.550120 0.427566i
\(652\) 35.9058 33.3157i 1.40618 1.30474i
\(653\) −34.3164 + 5.17237i −1.34291 + 0.202411i −0.780866 0.624699i \(-0.785222\pi\)
−0.562041 + 0.827110i \(0.689984\pi\)
\(654\) 11.0358 2.92905i 0.431534 0.114535i
\(655\) 1.73758 + 3.00958i 0.0678930 + 0.117594i
\(656\) −8.38936 14.5308i −0.327550 0.567333i
\(657\) −16.6436 24.6618i −0.649330 0.962149i
\(658\) 20.4342 + 19.8354i 0.796610 + 0.773266i
\(659\) −20.8679 + 14.2275i −0.812898 + 0.554224i −0.896896 0.442242i \(-0.854183\pi\)
0.0839981 + 0.996466i \(0.473231\pi\)
\(660\) −17.2225 + 149.668i −0.670385 + 5.82582i
\(661\) 3.31610 + 14.5288i 0.128981 + 0.565105i 0.997576 + 0.0695816i \(0.0221664\pi\)
−0.868595 + 0.495523i \(0.834976\pi\)
\(662\) −2.01987 8.84964i −0.0785046 0.343951i
\(663\) −0.596791 + 5.18627i −0.0231774 + 0.201418i
\(664\) −47.3469 + 32.2806i −1.83742 + 1.25273i
\(665\) 32.0944 20.8382i 1.24457 0.808069i
\(666\) −23.1496 + 1.62463i −0.897029 + 0.0629531i
\(667\) 4.61880 + 8.00000i 0.178841 + 0.309761i
\(668\) −16.1576 27.9857i −0.625155 1.08280i
\(669\) 12.5342 3.32674i 0.484599 0.128619i
\(670\) 9.84142 1.48335i 0.380207 0.0573070i
\(671\) 24.0055 22.2738i 0.926720 0.859871i
\(672\) 16.5506 + 3.56050i 0.638455 + 0.137349i
\(673\) −0.415171 0.385222i −0.0160037 0.0148492i 0.672130 0.740433i \(-0.265379\pi\)
−0.688134 + 0.725584i \(0.741570\pi\)
\(674\) −44.4868 30.3306i −1.71357 1.16829i
\(675\) −67.4908 18.5989i −2.59772 0.715872i
\(676\) 39.9821 6.02633i 1.53777 0.231782i
\(677\) −8.25651 36.1741i −0.317323 1.39028i −0.842227 0.539123i \(-0.818756\pi\)
0.524904 0.851161i \(-0.324101\pi\)
\(678\) −10.8058 57.8597i −0.414995 2.22209i
\(679\) −12.5822 + 11.1577i −0.482861 + 0.428195i
\(680\) −13.5854 + 34.6151i −0.520978 + 1.32743i
\(681\) 3.65052 + 19.5467i 0.139888 + 0.749032i
\(682\) −3.88599 51.8549i −0.148802 1.98563i
\(683\) −18.8443 48.0145i −0.721057 1.83722i −0.511126 0.859506i \(-0.670772\pi\)
−0.209930 0.977716i \(-0.567324\pi\)
\(684\) 20.3850 29.5972i 0.779440 1.13168i
\(685\) 65.1055 2.48755
\(686\) −40.5349 + 16.2469i −1.54763 + 0.620309i
\(687\) 32.4516 + 6.21979i 1.23810 + 0.237300i
\(688\) 3.67450 + 3.40944i 0.140089 + 0.129984i
\(689\) 0.615759 0.772137i 0.0234585 0.0294161i
\(690\) 67.8986 29.4327i 2.58485 1.12048i
\(691\) 32.3892 40.6147i 1.23214 1.54506i 0.495820 0.868425i \(-0.334868\pi\)
0.736322 0.676631i \(-0.236561\pi\)
\(692\) 32.4114 + 40.6427i 1.23210 + 1.54500i
\(693\) 34.4980 + 29.0847i 1.31047 + 1.10484i
\(694\) −30.1238 + 37.7741i −1.14348 + 1.43388i
\(695\) −5.33464 23.3726i −0.202355 0.886573i
\(696\) 6.49339 + 12.3568i 0.246131 + 0.468384i
\(697\) −5.65492 + 24.7758i −0.214196 + 0.938452i
\(698\) −1.58748 + 21.1835i −0.0600871 + 0.801807i
\(699\) −14.5910 19.8684i −0.551881 0.751490i
\(700\) 126.862 + 2.85883i 4.79495 + 0.108053i
\(701\) −6.14896 26.9404i −0.232243 1.01752i −0.947774 0.318943i \(-0.896672\pi\)
0.715531 0.698581i \(-0.246185\pi\)
\(702\) 12.6977 9.23271i 0.479242 0.348466i
\(703\) −0.824989 + 11.0087i −0.0311150 + 0.415201i
\(704\) 33.5891 + 58.1781i 1.26594 + 2.19267i
\(705\) −33.3751 6.39678i −1.25698 0.240917i
\(706\) 47.7155 + 32.5319i 1.79580 + 1.22435i
\(707\) −16.4995 8.40881i −0.620527 0.316246i
\(708\) 2.91549 25.3364i 0.109571 0.952201i
\(709\) −23.9549 11.5361i −0.899644 0.433246i −0.0738839 0.997267i \(-0.523539\pi\)
−0.825761 + 0.564021i \(0.809254\pi\)
\(710\) 38.8475 + 11.9829i 1.45792 + 0.449709i
\(711\) 5.85725 + 4.71654i 0.219664 + 0.176884i
\(712\) 0.495252 + 6.60867i 0.0185603 + 0.247671i
\(713\) −13.5129 + 9.21292i −0.506061 + 0.345027i
\(714\) 14.5793 + 20.8199i 0.545617 + 0.779164i
\(715\) 25.8681 + 17.6365i 0.967410 + 0.659569i
\(716\) −0.981909 + 1.70072i −0.0366957 + 0.0635588i
\(717\) 1.98847 2.29961i 0.0742609 0.0858806i
\(718\) 33.9027 + 23.1145i 1.26524 + 0.862624i
\(719\) −3.03793 + 7.74052i −0.113296 + 0.288673i −0.976263 0.216586i \(-0.930508\pi\)
0.862968 + 0.505259i \(0.168603\pi\)
\(720\) 18.6752 7.22760i 0.695982 0.269357i
\(721\) −0.668275 12.7737i −0.0248879 0.475718i
\(722\) 13.2682 + 12.3111i 0.493793 + 0.458173i
\(723\) −2.48905 + 9.20205i −0.0925687 + 0.342228i
\(724\) 11.9740 52.4616i 0.445011 1.94972i
\(725\) −18.4058 23.0801i −0.683574 0.857175i
\(726\) 3.04944 + 87.0108i 0.113175 + 3.22927i
\(727\) 1.41232 + 3.59853i 0.0523801 + 0.133462i 0.954669 0.297670i \(-0.0962095\pi\)
−0.902289 + 0.431132i \(0.858114\pi\)
\(728\) −7.99223 + 9.57136i −0.296212 + 0.354738i
\(729\) −12.0592 + 24.1573i −0.446638 + 0.894715i
\(730\) −99.3859 14.9800i −3.67844 0.554435i
\(731\) −0.567356 7.57084i −0.0209844 0.280018i
\(732\) −33.4971 11.8102i −1.23809 0.436519i
\(733\) −18.2574 16.9404i −0.674354 0.625709i 0.266774 0.963759i \(-0.414042\pi\)
−0.941128 + 0.338050i \(0.890233\pi\)
\(734\) 24.3994 + 42.2610i 0.900597 + 1.55988i
\(735\) 29.7852 42.7591i 1.09864 1.57719i
\(736\) 7.78737 13.4881i 0.287046 0.497179i
\(737\) 5.33485 1.64558i 0.196512 0.0606158i
\(738\) 66.3652 37.8981i 2.44294 1.39505i
\(739\) 37.2871 25.4219i 1.37163 0.935160i 0.371651 0.928372i \(-0.378792\pi\)
0.999977 0.00678784i \(-0.00216065\pi\)
\(740\) −31.2960 + 39.2439i −1.15046 + 1.44264i
\(741\) −3.47410 6.61116i −0.127624 0.242867i
\(742\) −0.251211 4.80175i −0.00922224 0.176278i
\(743\) −53.4056 8.04959i −1.95926 0.295311i −0.999914 0.0130782i \(-0.995837\pi\)
−0.959346 0.282233i \(-0.908925\pi\)
\(744\) −20.9568 + 13.0989i −0.768314 + 0.480231i
\(745\) −18.8779 + 48.1002i −0.691634 + 1.76226i
\(746\) 41.8651 + 38.8452i 1.53279 + 1.42222i
\(747\) −26.1459 38.7418i −0.956627 1.41749i
\(748\) −10.5928 + 46.4101i −0.387311 + 1.69692i
\(749\) −6.17042 + 2.80206i −0.225462 + 0.102385i
\(750\) −126.117 + 78.8285i −4.60513 + 2.87841i
\(751\) 31.6275 4.76707i 1.15410 0.173953i 0.456019 0.889970i \(-0.349275\pi\)
0.698083 + 0.716017i \(0.254037\pi\)
\(752\) 6.38739 3.07600i 0.232924 0.112170i
\(753\) 15.1857 + 43.7300i 0.553396 + 1.59361i
\(754\) 6.62020 0.241093
\(755\) −35.9245 + 17.3003i −1.30743 + 0.629624i
\(756\) 10.5194 47.7965i 0.382587 1.73834i
\(757\) −7.74607 3.73031i −0.281536 0.135580i 0.287787 0.957694i \(-0.407080\pi\)
−0.569323 + 0.822114i \(0.692795\pi\)
\(758\) 7.86859 + 3.78931i 0.285800 + 0.137634i
\(759\) 35.2014 22.0025i 1.27773 0.798639i
\(760\) −11.8375 51.8636i −0.429392 1.88129i
\(761\) 14.0344 9.56852i 0.508748 0.346859i −0.281585 0.959536i \(-0.590860\pi\)
0.790333 + 0.612678i \(0.209908\pi\)
\(762\) 1.83246 15.9246i 0.0663831 0.576887i
\(763\) −3.55313 6.48748i −0.128632 0.234862i
\(764\) −32.3422 + 15.5752i −1.17010 + 0.563491i
\(765\) −28.1804 11.2143i −1.01886 0.405453i
\(766\) −0.485789 + 0.841411i −0.0175523 + 0.0304014i
\(767\) −4.37905 2.98558i −0.158118 0.107803i
\(768\) 22.7964 36.0903i 0.822595 1.30230i
\(769\) 8.19128 7.60040i 0.295385 0.274077i −0.518532 0.855058i \(-0.673521\pi\)
0.813917 + 0.580981i \(0.197331\pi\)
\(770\) 151.201 19.3170i 5.44891 0.696136i
\(771\) −0.949223 + 2.16167i −0.0341854 + 0.0778505i