Properties

Label 960.2.cn.a.731.19
Level $960$
Weight $2$
Character 960.731
Analytic conductor $7.666$
Analytic rank $0$
Dimension $1024$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 960 = 2^{6} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 960.cn (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.66563859404\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(128\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 731.19
Character \(\chi\) \(=\) 960.731
Dual form 960.2.cn.a.851.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.27383 - 0.614289i) q^{2} +(0.216308 - 1.71849i) q^{3} +(1.24530 + 1.56500i) q^{4} +(-0.980785 - 0.195090i) q^{5} +(-1.33119 + 2.05619i) q^{6} +(2.39545 + 0.992229i) q^{7} +(-0.624939 - 2.75852i) q^{8} +(-2.90642 - 0.743447i) q^{9} +O(q^{10})\) \(q+(-1.27383 - 0.614289i) q^{2} +(0.216308 - 1.71849i) q^{3} +(1.24530 + 1.56500i) q^{4} +(-0.980785 - 0.195090i) q^{5} +(-1.33119 + 2.05619i) q^{6} +(2.39545 + 0.992229i) q^{7} +(-0.624939 - 2.75852i) q^{8} +(-2.90642 - 0.743447i) q^{9} +(1.12951 + 0.850998i) q^{10} +(-1.60070 + 1.06955i) q^{11} +(2.95881 - 1.80151i) q^{12} +(0.531894 + 2.67401i) q^{13} +(-2.44189 - 2.73543i) q^{14} +(-0.547413 + 1.64327i) q^{15} +(-0.898462 + 3.89779i) q^{16} +(-2.20327 - 2.20327i) q^{17} +(3.24560 + 2.73241i) q^{18} +(-1.40473 - 7.06207i) q^{19} +(-0.916054 - 1.77788i) q^{20} +(2.22329 - 3.90194i) q^{21} +(2.69604 - 0.379140i) q^{22} +(-6.47784 + 2.68321i) q^{23} +(-4.87568 + 0.477261i) q^{24} +(0.923880 + 0.382683i) q^{25} +(0.965072 - 3.73298i) q^{26} +(-1.90629 + 4.83385i) q^{27} +(1.43021 + 4.98451i) q^{28} +(2.54515 - 3.80909i) q^{29} +(1.70675 - 1.75698i) q^{30} -9.85644 q^{31} +(3.53886 - 4.41322i) q^{32} +(1.49177 + 2.98214i) q^{33} +(1.45315 + 4.16003i) q^{34} +(-2.15585 - 1.44049i) q^{35} +(-2.45587 - 5.47437i) q^{36} +(-4.73655 - 0.942158i) q^{37} +(-2.54876 + 9.85881i) q^{38} +(4.71032 - 0.335645i) q^{39} +(0.0747698 + 2.82744i) q^{40} +(-4.81210 - 11.6174i) q^{41} +(-5.22902 + 3.60467i) q^{42} +(4.10956 - 2.74592i) q^{43} +(-3.66720 - 1.17318i) q^{44} +(2.70554 + 1.29618i) q^{45} +(9.89995 + 0.561305i) q^{46} +(-1.51125 + 1.51125i) q^{47} +(6.50397 + 2.38712i) q^{48} +(-0.196068 - 0.196068i) q^{49} +(-0.941790 - 1.05500i) q^{50} +(-4.26288 + 3.30971i) q^{51} +(-3.52247 + 4.16236i) q^{52} +(4.07045 + 6.09185i) q^{53} +(5.39767 - 4.98650i) q^{54} +(1.77860 - 0.736721i) q^{55} +(1.24008 - 7.22800i) q^{56} +(-12.4400 + 0.886438i) q^{57} +(-5.58198 + 3.28868i) q^{58} +(0.0928532 - 0.466804i) q^{59} +(-3.25341 + 1.18966i) q^{60} +(-4.35588 + 6.51903i) q^{61} +(12.5555 + 6.05470i) q^{62} +(-6.22453 - 4.66473i) q^{63} +(-7.21890 + 3.44782i) q^{64} -2.72640i q^{65} +(-0.0683740 - 4.71513i) q^{66} +(-7.43485 - 4.96781i) q^{67} +(0.704391 - 6.19184i) q^{68} +(3.20986 + 11.7125i) q^{69} +(1.86131 + 3.15926i) q^{70} +(2.52818 - 6.10357i) q^{71} +(-0.234479 + 8.48204i) q^{72} +(-1.24905 - 3.01547i) q^{73} +(5.45481 + 4.10976i) q^{74} +(0.857481 - 1.50490i) q^{75} +(9.30284 - 10.9928i) q^{76} +(-4.89565 + 0.973804i) q^{77} +(-6.20634 - 2.46594i) q^{78} +(2.90875 - 2.90875i) q^{79} +(1.64162 - 3.64761i) q^{80} +(7.89457 + 4.32154i) q^{81} +(-1.00665 + 17.7547i) q^{82} +(5.30261 - 1.05475i) q^{83} +(8.87520 - 1.37962i) q^{84} +(1.73109 + 2.59077i) q^{85} +(-6.92169 + 0.973387i) q^{86} +(-5.99535 - 5.19776i) q^{87} +(3.95073 + 3.74716i) q^{88} +(-5.90962 + 14.2671i) q^{89} +(-2.65017 - 3.31309i) q^{90} +(-1.37911 + 6.93324i) q^{91} +(-12.2661 - 6.79643i) q^{92} +(-2.13203 + 16.9382i) q^{93} +(2.85342 - 0.996735i) q^{94} +7.20042i q^{95} +(-6.81859 - 7.03611i) q^{96} +15.8093i q^{97} +(0.129316 + 0.370201i) q^{98} +(5.44747 - 1.91854i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024q + O(q^{10}) \) \( 1024q + 80q^{24} + 80q^{42} - 96q^{52} - 288q^{58} - 96q^{64} + 256q^{67} - 112q^{76} - 48q^{78} + 32q^{79} - 112q^{84} - 160q^{88} - 144q^{90} - 16q^{94} - 272q^{96} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/960\mathbb{Z}\right)^\times\).

\(n\) \(511\) \(577\) \(641\) \(901\)
\(\chi(n)\) \(-1\) \(1\) \(-1\) \(e\left(\frac{9}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.27383 0.614289i −0.900736 0.434368i
\(3\) 0.216308 1.71849i 0.124886 0.992171i
\(4\) 1.24530 + 1.56500i 0.622649 + 0.782501i
\(5\) −0.980785 0.195090i −0.438621 0.0872470i
\(6\) −1.33119 + 2.05619i −0.543456 + 0.839438i
\(7\) 2.39545 + 0.992229i 0.905396 + 0.375027i 0.786293 0.617854i \(-0.211998\pi\)
0.119104 + 0.992882i \(0.461998\pi\)
\(8\) −0.624939 2.75852i −0.220949 0.975285i
\(9\) −2.90642 0.743447i −0.968807 0.247816i
\(10\) 1.12951 + 0.850998i 0.357184 + 0.269109i
\(11\) −1.60070 + 1.06955i −0.482629 + 0.322483i −0.772972 0.634440i \(-0.781231\pi\)
0.290343 + 0.956923i \(0.406231\pi\)
\(12\) 2.95881 1.80151i 0.854135 0.520052i
\(13\) 0.531894 + 2.67401i 0.147521 + 0.741638i 0.981743 + 0.190210i \(0.0609168\pi\)
−0.834223 + 0.551428i \(0.814083\pi\)
\(14\) −2.44189 2.73543i −0.652623 0.731076i
\(15\) −0.547413 + 1.64327i −0.141341 + 0.424291i
\(16\) −0.898462 + 3.89779i −0.224616 + 0.974447i
\(17\) −2.20327 2.20327i −0.534370 0.534370i 0.387499 0.921870i \(-0.373339\pi\)
−0.921870 + 0.387499i \(0.873339\pi\)
\(18\) 3.24560 + 2.73241i 0.764996 + 0.644035i
\(19\) −1.40473 7.06207i −0.322268 1.62015i −0.714052 0.700093i \(-0.753142\pi\)
0.391784 0.920057i \(-0.371858\pi\)
\(20\) −0.916054 1.77788i −0.204836 0.397545i
\(21\) 2.22329 3.90194i 0.485162 0.851473i
\(22\) 2.69604 0.379140i 0.574797 0.0808330i
\(23\) −6.47784 + 2.68321i −1.35072 + 0.559488i −0.936493 0.350685i \(-0.885949\pi\)
−0.414229 + 0.910173i \(0.635949\pi\)
\(24\) −4.87568 + 0.477261i −0.995243 + 0.0974205i
\(25\) 0.923880 + 0.382683i 0.184776 + 0.0765367i
\(26\) 0.965072 3.73298i 0.189266 0.732098i
\(27\) −1.90629 + 4.83385i −0.366866 + 0.930274i
\(28\) 1.43021 + 4.98451i 0.270285 + 0.941984i
\(29\) 2.54515 3.80909i 0.472623 0.707330i −0.516193 0.856472i \(-0.672651\pi\)
0.988816 + 0.149142i \(0.0476512\pi\)
\(30\) 1.70675 1.75698i 0.311609 0.320780i
\(31\) −9.85644 −1.77027 −0.885135 0.465335i \(-0.845934\pi\)
−0.885135 + 0.465335i \(0.845934\pi\)
\(32\) 3.53886 4.41322i 0.625588 0.780154i
\(33\) 1.49177 + 2.98214i 0.259684 + 0.519124i
\(34\) 1.45315 + 4.16003i 0.249213 + 0.713440i
\(35\) −2.15585 1.44049i −0.364405 0.243488i
\(36\) −2.45587 5.47437i −0.409311 0.912395i
\(37\) −4.73655 0.942158i −0.778684 0.154890i −0.210282 0.977641i \(-0.567438\pi\)
−0.568402 + 0.822751i \(0.692438\pi\)
\(38\) −2.54876 + 9.85881i −0.413463 + 1.59931i
\(39\) 4.71032 0.335645i 0.754255 0.0537462i
\(40\) 0.0747698 + 2.82744i 0.0118221 + 0.447057i
\(41\) −4.81210 11.6174i −0.751524 1.81434i −0.550680 0.834716i \(-0.685632\pi\)
−0.200844 0.979623i \(-0.564368\pi\)
\(42\) −5.22902 + 3.60467i −0.806855 + 0.556213i
\(43\) 4.10956 2.74592i 0.626703 0.418749i −0.201256 0.979539i \(-0.564502\pi\)
0.827959 + 0.560789i \(0.189502\pi\)
\(44\) −3.66720 1.17318i −0.552852 0.176864i
\(45\) 2.70554 + 1.29618i 0.403318 + 0.193223i
\(46\) 9.89995 + 0.561305i 1.45967 + 0.0827599i
\(47\) −1.51125 + 1.51125i −0.220438 + 0.220438i −0.808683 0.588245i \(-0.799819\pi\)
0.588245 + 0.808683i \(0.299819\pi\)
\(48\) 6.50397 + 2.38712i 0.938767 + 0.344551i
\(49\) −0.196068 0.196068i −0.0280097 0.0280097i
\(50\) −0.941790 1.05500i −0.133189 0.149200i
\(51\) −4.26288 + 3.30971i −0.596922 + 0.463452i
\(52\) −3.52247 + 4.16236i −0.488478 + 0.577216i
\(53\) 4.07045 + 6.09185i 0.559119 + 0.836780i 0.998094 0.0617191i \(-0.0196583\pi\)
−0.438975 + 0.898499i \(0.644658\pi\)
\(54\) 5.39767 4.98650i 0.734530 0.678576i
\(55\) 1.77860 0.736721i 0.239827 0.0993395i
\(56\) 1.24008 7.22800i 0.165712 0.965882i
\(57\) −12.4400 + 0.886438i −1.64771 + 0.117412i
\(58\) −5.58198 + 3.28868i −0.732950 + 0.431825i
\(59\) 0.0928532 0.466804i 0.0120885 0.0607727i −0.974270 0.225383i \(-0.927637\pi\)
0.986359 + 0.164610i \(0.0526366\pi\)
\(60\) −3.25341 + 1.18966i −0.420014 + 0.153585i
\(61\) −4.35588 + 6.51903i −0.557713 + 0.834676i −0.998002 0.0631798i \(-0.979876\pi\)
0.440289 + 0.897856i \(0.354876\pi\)
\(62\) 12.5555 + 6.05470i 1.59455 + 0.768948i
\(63\) −6.22453 4.66473i −0.784217 0.587701i
\(64\) −7.21890 + 3.44782i −0.902363 + 0.430977i
\(65\) 2.72640i 0.338168i
\(66\) −0.0683740 4.71513i −0.00841626 0.580392i
\(67\) −7.43485 4.96781i −0.908311 0.606914i 0.0112176 0.999937i \(-0.496429\pi\)
−0.919529 + 0.393023i \(0.871429\pi\)
\(68\) 0.704391 6.19184i 0.0854200 0.750871i
\(69\) 3.20986 + 11.7125i 0.386422 + 1.41002i
\(70\) 1.86131 + 3.15926i 0.222470 + 0.377604i
\(71\) 2.52818 6.10357i 0.300040 0.724360i −0.699909 0.714232i \(-0.746776\pi\)
0.999949 0.0101281i \(-0.00322392\pi\)
\(72\) −0.234479 + 8.48204i −0.0276336 + 0.999618i
\(73\) −1.24905 3.01547i −0.146190 0.352934i 0.833775 0.552105i \(-0.186175\pi\)
−0.979965 + 0.199170i \(0.936175\pi\)
\(74\) 5.45481 + 4.10976i 0.634109 + 0.477750i
\(75\) 0.857481 1.50490i 0.0990133 0.173771i
\(76\) 9.30284 10.9928i 1.06711 1.26096i
\(77\) −4.89565 + 0.973804i −0.557911 + 0.110975i
\(78\) −6.20634 2.46594i −0.702730 0.279213i
\(79\) 2.90875 2.90875i 0.327260 0.327260i −0.524284 0.851544i \(-0.675667\pi\)
0.851544 + 0.524284i \(0.175667\pi\)
\(80\) 1.64162 3.64761i 0.183539 0.407816i
\(81\) 7.89457 + 4.32154i 0.877175 + 0.480171i
\(82\) −1.00665 + 17.7547i −0.111166 + 1.96068i
\(83\) 5.30261 1.05475i 0.582037 0.115774i 0.104714 0.994502i \(-0.466607\pi\)
0.477323 + 0.878728i \(0.341607\pi\)
\(84\) 8.87520 1.37962i 0.968364 0.150529i
\(85\) 1.73109 + 2.59077i 0.187764 + 0.281008i
\(86\) −6.92169 + 0.973387i −0.746385 + 0.104963i
\(87\) −5.99535 5.19776i −0.642769 0.557258i
\(88\) 3.95073 + 3.74716i 0.421149 + 0.399449i
\(89\) −5.90962 + 14.2671i −0.626418 + 1.51231i 0.217626 + 0.976032i \(0.430169\pi\)
−0.844044 + 0.536274i \(0.819831\pi\)
\(90\) −2.65017 3.31309i −0.279353 0.349231i
\(91\) −1.37911 + 6.93324i −0.144570 + 0.726801i
\(92\) −12.2661 6.79643i −1.27883 0.708577i
\(93\) −2.13203 + 16.9382i −0.221081 + 1.75641i
\(94\) 2.85342 0.996735i 0.294308 0.102805i
\(95\) 7.20042i 0.738748i
\(96\) −6.81859 7.03611i −0.695919 0.718120i
\(97\) 15.8093i 1.60519i 0.596523 + 0.802596i \(0.296549\pi\)
−0.596523 + 0.802596i \(0.703451\pi\)
\(98\) 0.129316 + 0.370201i 0.0130628 + 0.0373959i
\(99\) 5.44747 1.91854i 0.547491 0.192820i
\(100\) 0.551606 + 1.92243i 0.0551606 + 0.192243i
\(101\) −0.963785 + 4.84528i −0.0959002 + 0.482123i 0.902749 + 0.430167i \(0.141545\pi\)
−0.998649 + 0.0519557i \(0.983455\pi\)
\(102\) 7.46331 1.59738i 0.738977 0.158164i
\(103\) 0.0495922 0.119726i 0.00488647 0.0117970i −0.921417 0.388574i \(-0.872968\pi\)
0.926304 + 0.376777i \(0.122968\pi\)
\(104\) 7.04393 3.13834i 0.690714 0.307739i
\(105\) −2.94180 + 3.39322i −0.287091 + 0.331144i
\(106\) −1.44291 10.2604i −0.140148 0.996581i
\(107\) 3.34974 + 5.01325i 0.323832 + 0.484649i 0.957291 0.289128i \(-0.0933653\pi\)
−0.633458 + 0.773777i \(0.718365\pi\)
\(108\) −9.93888 + 3.03624i −0.956369 + 0.292162i
\(109\) 19.7204 3.92263i 1.88887 0.375719i 0.891814 0.452402i \(-0.149433\pi\)
0.997056 + 0.0766830i \(0.0244329\pi\)
\(110\) −2.71820 0.154116i −0.259170 0.0146944i
\(111\) −2.64364 + 7.93592i −0.250924 + 0.753244i
\(112\) −6.01973 + 8.44549i −0.568811 + 0.798024i
\(113\) −9.36118 + 9.36118i −0.880626 + 0.880626i −0.993598 0.112973i \(-0.963963\pi\)
0.112973 + 0.993598i \(0.463963\pi\)
\(114\) 16.3910 + 6.51255i 1.53515 + 0.609956i
\(115\) 6.87684 1.36789i 0.641268 0.127556i
\(116\) 9.13071 0.760286i 0.847765 0.0705908i
\(117\) 0.442078 8.16724i 0.0408701 0.755062i
\(118\) −0.405032 + 0.537592i −0.0372862 + 0.0494893i
\(119\) −3.09168 7.46397i −0.283413 0.684221i
\(120\) 4.87510 + 0.483107i 0.445034 + 0.0441014i
\(121\) −2.79122 + 6.73861i −0.253747 + 0.612601i
\(122\) 9.55322 5.62839i 0.864908 0.509570i
\(123\) −21.0054 + 5.75661i −1.89399 + 0.519056i
\(124\) −12.2742 15.4254i −1.10226 1.38524i
\(125\) −0.831470 0.555570i −0.0743689 0.0496917i
\(126\) 5.06352 + 9.76574i 0.451094 + 0.870001i
\(127\) 12.4626i 1.10587i −0.833223 0.552937i \(-0.813507\pi\)
0.833223 0.552937i \(-0.186493\pi\)
\(128\) 11.3136 + 0.0425473i 0.999993 + 0.00376068i
\(129\) −3.82991 7.65622i −0.337205 0.674092i
\(130\) −1.67480 + 3.47298i −0.146889 + 0.304600i
\(131\) −4.23080 + 6.33184i −0.369646 + 0.553215i −0.968934 0.247319i \(-0.920451\pi\)
0.599288 + 0.800534i \(0.295451\pi\)
\(132\) −2.80935 + 6.04829i −0.244523 + 0.526436i
\(133\) 3.64222 18.3107i 0.315821 1.58774i
\(134\) 6.41908 + 10.8953i 0.554524 + 0.941210i
\(135\) 2.81270 4.36907i 0.242078 0.376029i
\(136\) −4.70085 + 7.45467i −0.403095 + 0.639232i
\(137\) −15.3260 + 6.34822i −1.30938 + 0.542365i −0.924705 0.380685i \(-0.875688\pi\)
−0.384680 + 0.923050i \(0.625688\pi\)
\(138\) 3.10604 16.8916i 0.264403 1.43790i
\(139\) −4.70419 7.04031i −0.399004 0.597151i 0.576510 0.817090i \(-0.304414\pi\)
−0.975514 + 0.219939i \(0.929414\pi\)
\(140\) −0.430303 5.16776i −0.0363673 0.436755i
\(141\) 2.27017 + 2.92396i 0.191183 + 0.246242i
\(142\) −6.96983 + 6.22189i −0.584895 + 0.522129i
\(143\) −3.71140 3.71140i −0.310363 0.310363i
\(144\) 5.50911 10.6607i 0.459092 0.888389i
\(145\) −3.23937 + 3.23937i −0.269015 + 0.269015i
\(146\) −0.261291 + 4.60849i −0.0216246 + 0.381401i
\(147\) −0.379353 + 0.294530i −0.0312885 + 0.0242925i
\(148\) −4.42394 8.58597i −0.363645 0.705763i
\(149\) 8.67532 5.79666i 0.710710 0.474881i −0.146920 0.989148i \(-0.546936\pi\)
0.857630 + 0.514267i \(0.171936\pi\)
\(150\) −2.01673 + 1.39025i −0.164665 + 0.113514i
\(151\) −5.59280 13.5022i −0.455136 1.09879i −0.970344 0.241730i \(-0.922285\pi\)
0.515208 0.857065i \(-0.327715\pi\)
\(152\) −18.6030 + 8.28835i −1.50890 + 0.672274i
\(153\) 4.76561 + 8.04163i 0.385277 + 0.650127i
\(154\) 6.83443 + 1.76688i 0.550734 + 0.142379i
\(155\) 9.66706 + 1.92290i 0.776477 + 0.154451i
\(156\) 6.39104 + 6.95368i 0.511693 + 0.556740i
\(157\) −4.15308 2.77500i −0.331452 0.221469i 0.378697 0.925521i \(-0.376372\pi\)
−0.710149 + 0.704052i \(0.751372\pi\)
\(158\) −5.49208 + 1.91845i −0.436926 + 0.152624i
\(159\) 11.3493 5.67731i 0.900055 0.450240i
\(160\) −4.33184 + 3.63802i −0.342462 + 0.287611i
\(161\) −18.1797 −1.43276
\(162\) −7.40169 10.3545i −0.581532 0.813524i
\(163\) 8.22531 12.3100i 0.644256 0.964197i −0.355310 0.934748i \(-0.615625\pi\)
0.999566 0.0294488i \(-0.00937520\pi\)
\(164\) 12.1888 21.9981i 0.951786 1.71777i
\(165\) −0.881323 3.21587i −0.0686109 0.250355i
\(166\) −7.40256 1.91375i −0.574550 0.148536i
\(167\) −7.79422 3.22847i −0.603135 0.249827i 0.0601553 0.998189i \(-0.480840\pi\)
−0.663290 + 0.748362i \(0.730840\pi\)
\(168\) −12.1530 3.69453i −0.937625 0.285039i
\(169\) 5.14300 2.13030i 0.395615 0.163869i
\(170\) −0.613646 4.36359i −0.0470645 0.334672i
\(171\) −1.16753 + 21.5697i −0.0892831 + 1.64948i
\(172\) 9.41501 + 3.01198i 0.717888 + 0.229661i
\(173\) 0.0374298 + 0.188172i 0.00284574 + 0.0143065i 0.982182 0.187932i \(-0.0601784\pi\)
−0.979336 + 0.202238i \(0.935178\pi\)
\(174\) 4.44415 + 10.3040i 0.336910 + 0.781140i
\(175\) 1.83340 + 1.83340i 0.138592 + 0.138592i
\(176\) −2.73073 7.20015i −0.205836 0.542731i
\(177\) −0.782114 0.260541i −0.0587873 0.0195834i
\(178\) 16.2920 14.5437i 1.22113 1.09009i
\(179\) −4.74114 23.8353i −0.354369 1.78154i −0.587639 0.809123i \(-0.699943\pi\)
0.233270 0.972412i \(-0.425057\pi\)
\(180\) 1.34068 + 5.84830i 0.0999286 + 0.435906i
\(181\) 2.70351 1.80643i 0.200950 0.134271i −0.451024 0.892512i \(-0.648941\pi\)
0.651974 + 0.758241i \(0.273941\pi\)
\(182\) 6.01576 7.98461i 0.445918 0.591859i
\(183\) 10.2607 + 8.89565i 0.758491 + 0.657586i
\(184\) 11.4499 + 16.1924i 0.844101 + 1.19372i
\(185\) 4.46173 + 1.84811i 0.328033 + 0.135876i
\(186\) 13.1208 20.2668i 0.962064 1.48603i
\(187\) 5.88328 + 1.17026i 0.430228 + 0.0855777i
\(188\) −4.24707 0.483151i −0.309749 0.0352374i
\(189\) −9.36271 + 9.68778i −0.681037 + 0.704682i
\(190\) 4.42314 9.17213i 0.320888 0.665417i
\(191\) −3.22232 −0.233159 −0.116580 0.993181i \(-0.537193\pi\)
−0.116580 + 0.993181i \(0.537193\pi\)
\(192\) 4.36354 + 13.1514i 0.314911 + 0.949121i
\(193\) 0.400502 0.0288287 0.0144144 0.999896i \(-0.495412\pi\)
0.0144144 + 0.999896i \(0.495412\pi\)
\(194\) 9.71148 20.1384i 0.697244 1.44585i
\(195\) −4.68529 0.589742i −0.335521 0.0422323i
\(196\) 0.0626836 0.551011i 0.00447740 0.0393579i
\(197\) 21.6358 + 4.30363i 1.54149 + 0.306621i 0.891392 0.453233i \(-0.149729\pi\)
0.650094 + 0.759854i \(0.274729\pi\)
\(198\) −8.11770 0.902420i −0.576900 0.0641322i
\(199\) −3.43415 1.42247i −0.243440 0.100836i 0.257627 0.966244i \(-0.417059\pi\)
−0.501068 + 0.865408i \(0.667059\pi\)
\(200\) 0.478273 2.78770i 0.0338190 0.197120i
\(201\) −10.1453 + 11.7021i −0.715597 + 0.825405i
\(202\) 4.20410 5.58003i 0.295799 0.392609i
\(203\) 9.87629 6.59912i 0.693180 0.463168i
\(204\) −10.4883 2.54983i −0.734325 0.178524i
\(205\) 2.45319 + 12.3330i 0.171338 + 0.861375i
\(206\) −0.136719 + 0.122047i −0.00952564 + 0.00850343i
\(207\) 20.8222 2.98261i 1.44724 0.207305i
\(208\) −10.9006 0.329287i −0.755823 0.0228320i
\(209\) 9.80182 + 9.80182i 0.678006 + 0.678006i
\(210\) 5.83178 2.51528i 0.402431 0.173571i
\(211\) −2.84531 14.3043i −0.195879 0.984750i −0.946177 0.323650i \(-0.895090\pi\)
0.750298 0.661100i \(-0.229910\pi\)
\(212\) −4.46484 + 13.9564i −0.306646 + 0.958532i
\(213\) −9.94206 5.66491i −0.681219 0.388153i
\(214\) −1.18743 8.44375i −0.0811712 0.577203i
\(215\) −4.56630 + 1.89142i −0.311419 + 0.128994i
\(216\) 14.5256 + 2.23768i 0.988341 + 0.152255i
\(217\) −23.6107 9.77985i −1.60280 0.663900i
\(218\) −27.5301 7.11723i −1.86457 0.482040i
\(219\) −5.45224 + 1.49421i −0.368428 + 0.100969i
\(220\) 3.36786 + 1.86608i 0.227061 + 0.125811i
\(221\) 4.71966 7.06347i 0.317479 0.475140i
\(222\) 8.24250 8.48507i 0.553201 0.569481i
\(223\) 25.9745 1.73938 0.869691 0.493597i \(-0.164318\pi\)
0.869691 + 0.493597i \(0.164318\pi\)
\(224\) 12.8561 7.06030i 0.858984 0.471736i
\(225\) −2.40068 1.79909i −0.160045 0.119940i
\(226\) 17.6750 6.17411i 1.17573 0.410695i
\(227\) 11.7308 + 7.83828i 0.778601 + 0.520245i 0.880213 0.474579i \(-0.157400\pi\)
−0.101611 + 0.994824i \(0.532400\pi\)
\(228\) −16.8787 18.3647i −1.11782 1.21623i
\(229\) −2.74213 0.545443i −0.181205 0.0360439i 0.103654 0.994613i \(-0.466947\pi\)
−0.284859 + 0.958570i \(0.591947\pi\)
\(230\) −9.60022 2.48190i −0.633019 0.163652i
\(231\) 0.614506 + 8.62376i 0.0404316 + 0.567402i
\(232\) −12.0980 4.64041i −0.794275 0.304658i
\(233\) 2.15909 + 5.21249i 0.141446 + 0.341482i 0.978688 0.205351i \(-0.0658335\pi\)
−0.837242 + 0.546832i \(0.815833\pi\)
\(234\) −5.58018 + 10.1321i −0.364788 + 0.662359i
\(235\) 1.77704 1.18738i 0.115921 0.0774562i
\(236\) 0.846180 0.435995i 0.0550816 0.0283809i
\(237\) −4.36948 5.62785i −0.283828 0.365568i
\(238\) −0.646753 + 11.4070i −0.0419227 + 0.739408i
\(239\) −1.16888 + 1.16888i −0.0756087 + 0.0756087i −0.743900 0.668291i \(-0.767026\pi\)
0.668291 + 0.743900i \(0.267026\pi\)
\(240\) −5.91330 3.61012i −0.381702 0.233032i
\(241\) −10.3968 10.3968i −0.669715 0.669715i 0.287935 0.957650i \(-0.407031\pi\)
−0.957650 + 0.287935i \(0.907031\pi\)
\(242\) 7.69500 6.86924i 0.494653 0.441571i
\(243\) 9.13419 12.6320i 0.585958 0.810341i
\(244\) −15.6267 + 1.30118i −1.00039 + 0.0832998i
\(245\) 0.154050 + 0.230552i 0.00984188 + 0.0147294i
\(246\) 30.2935 + 5.57040i 1.93145 + 0.355156i
\(247\) 18.1369 7.51255i 1.15402 0.478012i
\(248\) 6.15968 + 27.1892i 0.391140 + 1.72652i
\(249\) −0.665588 9.34063i −0.0421800 0.591938i
\(250\) 0.717873 + 1.21847i 0.0454022 + 0.0770625i
\(251\) −1.17987 + 5.93161i −0.0744728 + 0.374400i −0.999991 0.00430371i \(-0.998630\pi\)
0.925518 + 0.378704i \(0.123630\pi\)
\(252\) −0.451087 15.5504i −0.0284158 0.979582i
\(253\) 7.49924 11.2234i 0.471473 0.705610i
\(254\) −7.65561 + 15.8752i −0.480356 + 0.996100i
\(255\) 4.82666 2.41447i 0.302257 0.151200i
\(256\) −14.3855 7.00403i −0.899096 0.437752i
\(257\) 1.40044i 0.0873573i 0.999046 + 0.0436787i \(0.0139078\pi\)
−0.999046 + 0.0436787i \(0.986092\pi\)
\(258\) 0.175540 + 12.1054i 0.0109287 + 0.753650i
\(259\) −10.4113 6.95664i −0.646929 0.432264i
\(260\) 4.26682 3.39518i 0.264617 0.210560i
\(261\) −10.2291 + 9.17864i −0.633168 + 0.568143i
\(262\) 9.27890 5.46677i 0.573252 0.337738i
\(263\) 5.54177 13.3790i 0.341720 0.824986i −0.655822 0.754916i \(-0.727678\pi\)
0.997542 0.0700699i \(-0.0223222\pi\)
\(264\) 7.29404 5.97875i 0.448917 0.367967i
\(265\) −2.80377 6.76890i −0.172234 0.415810i
\(266\) −15.8876 + 21.0874i −0.974133 + 1.29295i
\(267\) 23.2395 + 13.2417i 1.42224 + 0.810379i
\(268\) −1.48398 17.8220i −0.0906485 1.08865i
\(269\) 24.0645 4.78673i 1.46724 0.291852i 0.604137 0.796881i \(-0.293518\pi\)
0.863103 + 0.505028i \(0.168518\pi\)
\(270\) −6.26677 + 3.83765i −0.381384 + 0.233552i
\(271\) −16.1610 + 16.1610i −0.981711 + 0.981711i −0.999836 0.0181242i \(-0.994231\pi\)
0.0181242 + 0.999836i \(0.494231\pi\)
\(272\) 10.5674 6.60832i 0.640744 0.400688i
\(273\) 11.6164 + 3.86970i 0.703056 + 0.234205i
\(274\) 23.4223 + 1.32799i 1.41500 + 0.0802271i
\(275\) −1.88815 + 0.375577i −0.113860 + 0.0226482i
\(276\) −14.3329 + 19.6090i −0.862737 + 1.18032i
\(277\) 9.18422 + 13.7451i 0.551826 + 0.825866i 0.997597 0.0692809i \(-0.0220705\pi\)
−0.445771 + 0.895147i \(0.647070\pi\)
\(278\) 1.66756 + 11.8579i 0.100014 + 0.711190i
\(279\) 28.6470 + 7.32774i 1.71505 + 0.438701i
\(280\) −2.62636 + 6.84719i −0.156955 + 0.409198i
\(281\) 9.37696 22.6380i 0.559383 1.35047i −0.350873 0.936423i \(-0.614115\pi\)
0.910256 0.414046i \(-0.135885\pi\)
\(282\) −1.09566 5.11918i −0.0652457 0.304843i
\(283\) −5.49214 + 27.6108i −0.326474 + 1.64129i 0.373865 + 0.927483i \(0.378032\pi\)
−0.700339 + 0.713811i \(0.746968\pi\)
\(284\) 12.7004 3.64416i 0.753632 0.216241i
\(285\) 12.3739 + 1.55751i 0.732964 + 0.0922589i
\(286\) 2.44783 + 7.00758i 0.144743 + 0.414367i
\(287\) 32.6038i 1.92454i
\(288\) −13.5664 + 10.1957i −0.799408 + 0.600788i
\(289\) 7.29124i 0.428896i
\(290\) 6.11631 2.13650i 0.359162 0.125460i
\(291\) 27.1682 + 3.41968i 1.59263 + 0.200465i
\(292\) 3.16378 5.70993i 0.185146 0.334148i
\(293\) 1.62767 8.18285i 0.0950895 0.478047i −0.903669 0.428232i \(-0.859137\pi\)
0.998758 0.0498153i \(-0.0158633\pi\)
\(294\) 0.664158 0.142150i 0.0387345 0.00829037i
\(295\) −0.182138 + 0.439720i −0.0106045 + 0.0256015i
\(296\) 0.361089 + 13.6547i 0.0209879 + 0.793662i
\(297\) −2.11866 9.77642i −0.122937 0.567285i
\(298\) −14.6117 + 2.05483i −0.846435 + 0.119033i
\(299\) −10.6205 15.8946i −0.614197 0.919211i
\(300\) 3.42299 0.532093i 0.197627 0.0307204i
\(301\) 12.5689 2.50010i 0.724457 0.144103i
\(302\) −1.16997 + 20.6352i −0.0673240 + 1.18742i
\(303\) 8.11809 + 2.70433i 0.466372 + 0.155360i
\(304\) 28.7886 + 0.869647i 1.65114 + 0.0498777i
\(305\) 5.54398 5.54398i 0.317447 0.317447i
\(306\) −1.13070 13.1711i −0.0646380 0.752945i
\(307\) 4.17144 0.829750i 0.238076 0.0473563i −0.0746099 0.997213i \(-0.523771\pi\)
0.312686 + 0.949856i \(0.398771\pi\)
\(308\) −7.62055 6.44902i −0.434221 0.367467i
\(309\) −0.195021 0.111122i −0.0110944 0.00632148i
\(310\) −11.1330 8.38781i −0.632312 0.476396i
\(311\) −2.86122 6.90759i −0.162245 0.391693i 0.821760 0.569833i \(-0.192992\pi\)
−0.984005 + 0.178140i \(0.942992\pi\)
\(312\) −3.86955 12.7838i −0.219070 0.723739i
\(313\) 8.27178 19.9698i 0.467549 1.12876i −0.497681 0.867360i \(-0.665815\pi\)
0.965230 0.261402i \(-0.0841850\pi\)
\(314\) 3.58568 + 6.08608i 0.202352 + 0.343457i
\(315\) 5.19488 + 5.78944i 0.292698 + 0.326198i
\(316\) 8.17447 + 0.929937i 0.459850 + 0.0523131i
\(317\) −21.7721 14.5476i −1.22284 0.817076i −0.234917 0.972016i \(-0.575482\pi\)
−0.987924 + 0.154940i \(0.950482\pi\)
\(318\) −17.9446 + 0.260214i −1.00628 + 0.0145921i
\(319\) 8.81939i 0.493791i
\(320\) 7.75283 1.97323i 0.433396 0.110307i
\(321\) 9.33980 4.67210i 0.521297 0.260771i
\(322\) 23.1579 + 11.1676i 1.29054 + 0.622346i
\(323\) −12.4646 + 18.6546i −0.693550 + 1.03797i
\(324\) 3.06788 + 17.7366i 0.170438 + 0.985368i
\(325\) −0.531894 + 2.67401i −0.0295042 + 0.148328i
\(326\) −18.0396 + 10.6282i −0.999120 + 0.588643i
\(327\) −2.47532 34.7378i −0.136886 1.92100i
\(328\) −29.0397 + 20.5345i −1.60345 + 1.13383i
\(329\) −5.11963 + 2.12062i −0.282255 + 0.116914i
\(330\) −0.852816 + 4.63787i −0.0469460 + 0.255306i
\(331\) −19.3434 28.9494i −1.06321 1.59121i −0.773179 0.634187i \(-0.781335\pi\)
−0.290030 0.957018i \(-0.593665\pi\)
\(332\) 8.25402 + 6.98511i 0.452998 + 0.383357i
\(333\) 13.0660 + 6.25968i 0.716010 + 0.343028i
\(334\) 7.94532 + 8.90043i 0.434748 + 0.487010i
\(335\) 6.32282 + 6.32282i 0.345452 + 0.345452i
\(336\) 13.2114 + 12.1717i 0.720740 + 0.664019i
\(337\) 4.70563 4.70563i 0.256332 0.256332i −0.567228 0.823561i \(-0.691984\pi\)
0.823561 + 0.567228i \(0.191984\pi\)
\(338\) −7.85994 0.445641i −0.427524 0.0242397i
\(339\) 14.0622 + 18.1120i 0.763754 + 0.983709i
\(340\) −1.89882 + 5.93544i −0.102978 + 0.321895i
\(341\) 15.7772 10.5420i 0.854384 0.570881i
\(342\) 14.7373 26.7590i 0.796900 1.44696i
\(343\) −7.22073 17.4324i −0.389883 0.941261i
\(344\) −10.1429 9.62030i −0.546870 0.518692i
\(345\) −0.863187 12.1137i −0.0464724 0.652178i
\(346\) 0.0679129 0.262693i 0.00365102 0.0141225i
\(347\) −11.2706 2.24186i −0.605037 0.120349i −0.116940 0.993139i \(-0.537309\pi\)
−0.488097 + 0.872790i \(0.662309\pi\)
\(348\) 0.668501 15.8555i 0.0358354 0.849944i
\(349\) −0.0554294 0.0370368i −0.00296707 0.00198253i 0.554086 0.832460i \(-0.313068\pi\)
−0.557053 + 0.830477i \(0.688068\pi\)
\(350\) −1.20921 3.46168i −0.0646349 0.185035i
\(351\) −13.9397 2.52635i −0.744047 0.134846i
\(352\) −0.944479 + 10.8492i −0.0503409 + 0.578266i
\(353\) −1.56790 −0.0834510 −0.0417255 0.999129i \(-0.513286\pi\)
−0.0417255 + 0.999129i \(0.513286\pi\)
\(354\) 0.836235 + 0.812329i 0.0444454 + 0.0431748i
\(355\) −3.67035 + 5.49307i −0.194802 + 0.291542i
\(356\) −29.6872 + 8.51821i −1.57342 + 0.451464i
\(357\) −13.4955 + 3.69850i −0.714258 + 0.195745i
\(358\) −8.60235 + 33.2746i −0.454648 + 1.75862i
\(359\) −5.40946 2.24067i −0.285500 0.118258i 0.235338 0.971914i \(-0.424380\pi\)
−0.520838 + 0.853656i \(0.674380\pi\)
\(360\) 1.88474 8.27332i 0.0993344 0.436042i
\(361\) −30.3458 + 12.5697i −1.59715 + 0.661561i
\(362\) −4.55348 + 0.640350i −0.239326 + 0.0336560i
\(363\) 10.9765 + 6.25430i 0.576115 + 0.328266i
\(364\) −12.5679 + 6.47565i −0.658738 + 0.339416i
\(365\) 0.636760 + 3.20121i 0.0333296 + 0.167559i
\(366\) −7.60589 17.6346i −0.397566 0.921775i
\(367\) 11.0947 + 11.0947i 0.579137 + 0.579137i 0.934666 0.355528i \(-0.115699\pi\)
−0.355528 + 0.934666i \(0.615699\pi\)
\(368\) −4.63849 27.6600i −0.241798 1.44188i
\(369\) 5.34905 + 37.3427i 0.278460 + 1.94398i
\(370\) −4.54823 5.09497i −0.236451 0.264875i
\(371\) 3.70605 + 18.6316i 0.192408 + 0.967303i
\(372\) −29.1633 + 17.7565i −1.51205 + 0.920632i
\(373\) −26.6246 + 17.7900i −1.37857 + 0.921130i −0.999990 0.00443939i \(-0.998587\pi\)
−0.378578 + 0.925569i \(0.623587\pi\)
\(374\) −6.77544 5.10474i −0.350349 0.263960i
\(375\) −1.13460 + 1.30870i −0.0585903 + 0.0675809i
\(376\) 5.11326 + 3.22438i 0.263696 + 0.166285i
\(377\) 11.5393 + 4.77974i 0.594305 + 0.246169i
\(378\) 17.8776 6.58920i 0.919525 0.338912i
\(379\) −3.06129 0.608928i −0.157248 0.0312785i 0.115839 0.993268i \(-0.463044\pi\)
−0.273086 + 0.961990i \(0.588044\pi\)
\(380\) −11.2687 + 8.96668i −0.578071 + 0.459981i
\(381\) −21.4168 2.69575i −1.09722 0.138108i
\(382\) 4.10470 + 1.97944i 0.210015 + 0.101277i
\(383\) −1.89314 −0.0967347 −0.0483674 0.998830i \(-0.515402\pi\)
−0.0483674 + 0.998830i \(0.515402\pi\)
\(384\) 2.52035 19.4332i 0.128616 0.991694i
\(385\) 4.99156 0.254393
\(386\) −0.510172 0.246024i −0.0259671 0.0125223i
\(387\) −13.9856 + 4.92557i −0.710927 + 0.250381i
\(388\) −24.7416 + 19.6873i −1.25606 + 0.999472i
\(389\) −29.3121 5.83053i −1.48618 0.295620i −0.615762 0.787932i \(-0.711152\pi\)
−0.870418 + 0.492313i \(0.836152\pi\)
\(390\) 5.60601 + 3.62936i 0.283871 + 0.183780i
\(391\) 20.1842 + 8.36058i 1.02076 + 0.422813i
\(392\) −0.418328 + 0.663389i −0.0211288 + 0.0335062i
\(393\) 9.96605 + 8.64021i 0.502720 + 0.435841i
\(394\) −24.9167 18.7727i −1.25529 0.945756i
\(395\) −3.42033 + 2.28539i −0.172095 + 0.114991i
\(396\) 9.78624 + 6.13614i 0.491777 + 0.308353i
\(397\) 2.82278 + 14.1911i 0.141671 + 0.712230i 0.984686 + 0.174339i \(0.0557789\pi\)
−0.843014 + 0.537891i \(0.819221\pi\)
\(398\) 3.50072 + 3.92155i 0.175475 + 0.196569i
\(399\) −30.6789 10.2199i −1.53587 0.511633i
\(400\) −2.32169 + 3.25726i −0.116085 + 0.162863i
\(401\) 14.1999 + 14.1999i 0.709108 + 0.709108i 0.966348 0.257240i \(-0.0828131\pi\)
−0.257240 + 0.966348i \(0.582813\pi\)
\(402\) 20.1120 8.67439i 1.00309 0.432639i
\(403\) −5.24259 26.3563i −0.261152 1.31290i
\(404\) −8.78307 + 4.52549i −0.436974 + 0.225152i
\(405\) −6.89979 5.77866i −0.342853 0.287144i
\(406\) −16.6345 + 2.33929i −0.825557 + 0.116097i
\(407\) 8.58948 3.55788i 0.425765 0.176358i
\(408\) 11.7939 + 9.69088i 0.583887 + 0.479770i
\(409\) −15.4902 6.41626i −0.765943 0.317264i −0.0347150 0.999397i \(-0.511052\pi\)
−0.731228 + 0.682133i \(0.761052\pi\)
\(410\) 4.45108 17.2172i 0.219823 0.850295i
\(411\) 7.59423 + 27.7107i 0.374596 + 1.36687i
\(412\) 0.249129 0.0714830i 0.0122737 0.00352171i
\(413\) 0.685602 1.02608i 0.0337363 0.0504899i
\(414\) −28.3561 8.99147i −1.39363 0.441907i
\(415\) −5.40649 −0.265394
\(416\) 13.6833 + 7.11559i 0.670879 + 0.348870i
\(417\) −13.1163 + 6.56122i −0.642306 + 0.321304i
\(418\) −6.46473 18.5070i −0.316200 0.905208i
\(419\) 24.9703 + 16.6846i 1.21988 + 0.815095i 0.987514 0.157534i \(-0.0503543\pi\)
0.232363 + 0.972629i \(0.425354\pi\)
\(420\) −8.97382 0.378355i −0.437878 0.0184618i
\(421\) 0.147714 + 0.0293822i 0.00719916 + 0.00143200i 0.198689 0.980063i \(-0.436332\pi\)
−0.191489 + 0.981495i \(0.561332\pi\)
\(422\) −5.16254 + 19.9691i −0.251308 + 0.972083i
\(423\) 5.51586 3.26879i 0.268190 0.158934i
\(424\) 14.2607 15.0355i 0.692563 0.730186i
\(425\) −1.19240 2.87871i −0.0578398 0.139638i
\(426\) 9.18463 + 13.3234i 0.444997 + 0.645523i
\(427\) −16.9027 + 11.2940i −0.817978 + 0.546555i
\(428\) −3.67431 + 11.4853i −0.177604 + 0.555165i
\(429\) −7.18082 + 5.57521i −0.346693 + 0.269174i
\(430\) 6.97859 + 0.395670i 0.336537 + 0.0190809i
\(431\) −0.410422 + 0.410422i −0.0197693 + 0.0197693i −0.716922 0.697153i \(-0.754450\pi\)
0.697153 + 0.716922i \(0.254450\pi\)
\(432\) −17.1286 11.7733i −0.824099 0.566445i
\(433\) 15.3584 + 15.3584i 0.738076 + 0.738076i 0.972205 0.234130i \(-0.0752240\pi\)
−0.234130 + 0.972205i \(0.575224\pi\)
\(434\) 24.0684 + 26.9617i 1.15532 + 1.29420i
\(435\) 4.86612 + 6.26752i 0.233313 + 0.300505i
\(436\) 30.6967 + 25.9776i 1.47010 + 1.24410i
\(437\) 28.0486 + 41.9778i 1.34175 + 2.00807i
\(438\) 7.86312 + 1.44588i 0.375714 + 0.0690867i
\(439\) −31.9968 + 13.2535i −1.52712 + 0.632555i −0.979003 0.203846i \(-0.934656\pi\)
−0.548119 + 0.836400i \(0.684656\pi\)
\(440\) −3.14378 4.44591i −0.149874 0.211950i
\(441\) 0.424091 + 0.715623i 0.0201948 + 0.0340773i
\(442\) −10.3511 + 6.09844i −0.492350 + 0.290073i
\(443\) −1.53474 + 7.71565i −0.0729176 + 0.366581i −0.999965 0.00836263i \(-0.997338\pi\)
0.927047 + 0.374944i \(0.122338\pi\)
\(444\) −15.7119 + 5.74528i −0.745652 + 0.272659i
\(445\) 8.57943 12.8400i 0.406704 0.608676i
\(446\) −33.0872 15.9558i −1.56672 0.755531i
\(447\) −8.08497 16.1623i −0.382406 0.764452i
\(448\) −20.7136 + 1.09628i −0.978624 + 0.0517944i
\(449\) 20.3580i 0.960755i 0.877062 + 0.480377i \(0.159500\pi\)
−0.877062 + 0.480377i \(0.840500\pi\)
\(450\) 1.95290 + 3.76646i 0.0920605 + 0.177552i
\(451\) 20.1282 + 13.4492i 0.947800 + 0.633300i
\(452\) −26.3077 2.99280i −1.23741 0.140769i
\(453\) −24.4132 + 6.69054i −1.14703 + 0.314349i
\(454\) −10.1281 17.1908i −0.475336 0.806802i
\(455\) 2.70521 6.53097i 0.126822 0.306176i
\(456\) 10.2195 + 33.7619i 0.478571 + 1.58105i
\(457\) 0.935652 + 2.25886i 0.0437680 + 0.105665i 0.944252 0.329225i \(-0.106787\pi\)
−0.900484 + 0.434890i \(0.856787\pi\)
\(458\) 3.15795 + 2.37926i 0.147561 + 0.111176i
\(459\) 14.8503 6.45018i 0.693153 0.301069i
\(460\) 10.7045 + 9.05883i 0.499098 + 0.422370i
\(461\) 6.19061 1.23139i 0.288326 0.0573515i −0.0488086 0.998808i \(-0.515542\pi\)
0.337134 + 0.941457i \(0.390542\pi\)
\(462\) 4.51470 11.3627i 0.210043 0.528641i
\(463\) 19.3983 19.3983i 0.901514 0.901514i −0.0940530 0.995567i \(-0.529982\pi\)
0.995567 + 0.0940530i \(0.0299823\pi\)
\(464\) 12.5603 + 13.3428i 0.583098 + 0.619424i
\(465\) 5.39554 16.1968i 0.250212 0.751109i
\(466\) 0.451663 7.96615i 0.0209229 0.369025i
\(467\) −13.2389 + 2.63338i −0.612623 + 0.121858i −0.491643 0.870797i \(-0.663604\pi\)
−0.120979 + 0.992655i \(0.538604\pi\)
\(468\) 13.3323 9.47881i 0.616285 0.438158i
\(469\) −12.8806 19.2772i −0.594772 0.890139i
\(470\) −2.99305 + 0.420908i −0.138059 + 0.0194150i
\(471\) −5.66716 + 6.53678i −0.261129 + 0.301199i
\(472\) −1.34572 + 0.0355867i −0.0619417 + 0.00163801i
\(473\) −3.64127 + 8.79080i −0.167426 + 0.404201i
\(474\) 2.10886 + 9.85306i 0.0968630 + 0.452566i
\(475\) 1.40473 7.06207i 0.0644536 0.324030i
\(476\) 7.83106 14.1333i 0.358936 0.647801i
\(477\) −7.30146 20.7317i −0.334311 0.949237i
\(478\) 2.20699 0.770929i 0.100945 0.0352615i
\(479\) 8.27272i 0.377990i 0.981978 + 0.188995i \(0.0605230\pi\)
−0.981978 + 0.188995i \(0.939477\pi\)
\(480\) 5.31489 + 8.23115i 0.242591 + 0.375699i
\(481\) 13.1667i 0.600351i
\(482\) 6.85713 + 19.6304i 0.312334 + 0.894139i
\(483\) −3.93242 + 31.2417i −0.178931 + 1.42155i
\(484\) −14.0218 + 4.02331i −0.637356 + 0.182878i
\(485\) 3.08424 15.5055i 0.140048 0.704070i
\(486\) −19.3951 + 10.4800i −0.879780 + 0.475382i
\(487\) −9.23789 + 22.3022i −0.418609 + 1.01061i 0.564143 + 0.825677i \(0.309207\pi\)
−0.982751 + 0.184933i \(0.940793\pi\)
\(488\) 20.7051 + 7.94179i 0.937274 + 0.359508i
\(489\) −19.3755 16.7979i −0.876190 0.759626i
\(490\) −0.0546083 0.388316i −0.00246695 0.0175423i
\(491\) −16.7659 25.0920i −0.756635 1.13238i −0.987225 0.159333i \(-0.949065\pi\)
0.230590 0.973051i \(-0.425935\pi\)
\(492\) −35.1671 25.7047i −1.58545 1.15886i
\(493\) −14.0001 + 2.78479i −0.630532 + 0.125421i
\(494\) −27.7182 1.57156i −1.24710 0.0707079i
\(495\) −5.71708 + 0.818926i −0.256964 + 0.0368080i
\(496\) 8.85564 38.4184i 0.397630 1.72503i
\(497\) 12.1123 12.1123i 0.543310 0.543310i
\(498\) −4.89000 + 12.3073i −0.219126 + 0.551502i
\(499\) 8.35793 1.66250i 0.374152 0.0744236i −0.00443229 0.999990i \(-0.501411\pi\)
0.378585 + 0.925567i \(0.376411\pi\)
\(500\) −0.165960 1.99310i −0.00742194 0.0891343i
\(501\) −7.23405 + 12.6960i −0.323194 + 0.567213i
\(502\) 5.14668 6.83110i 0.229708 0.304887i
\(503\) −9.58490 23.1400i −0.427370 1.03176i −0.980118 0.198414i \(-0.936421\pi\)
0.552749 0.833348i \(-0.313579\pi\)
\(504\) −8.97781 + 20.0857i −0.399904 + 0.894687i
\(505\) 1.89053 4.56415i 0.0841276 0.203102i
\(506\) −16.4472 + 9.69004i −0.731167 + 0.430775i
\(507\) −2.54843 9.29900i −0.113180 0.412983i
\(508\) 19.5039 15.5196i 0.865347 0.688572i
\(509\) 12.3416 + 8.24642i 0.547034 + 0.365516i 0.798167 0.602436i \(-0.205803\pi\)
−0.251133 + 0.967953i \(0.580803\pi\)
\(510\) −7.63153 + 0.110665i −0.337930 + 0.00490032i
\(511\) 8.46277i 0.374371i
\(512\) 14.0223 + 17.7588i 0.619702 + 0.784837i
\(513\) 36.8148 + 6.67208i 1.62541 + 0.294580i
\(514\) 0.860277 1.78393i 0.0379452 0.0786859i
\(515\) −0.0719967 + 0.107751i −0.00317256 + 0.00474807i
\(516\) 7.21261 15.5281i 0.317517 0.683586i
\(517\) 0.802695 4.03542i 0.0353025 0.177478i
\(518\) 8.98893 + 15.2572i 0.394951 + 0.670361i
\(519\) 0.331469 0.0236196i 0.0145499 0.00103678i
\(520\) −7.52084 + 1.70383i −0.329811 + 0.0747181i
\(521\) −5.74889 + 2.38127i −0.251863 + 0.104325i −0.505043 0.863094i \(-0.668524\pi\)
0.253180 + 0.967419i \(0.418524\pi\)
\(522\) 18.6685 5.40840i 0.817100 0.236719i
\(523\) 0.573019 + 0.857583i 0.0250564 + 0.0374995i 0.843786 0.536679i \(-0.180321\pi\)
−0.818730 + 0.574179i \(0.805321\pi\)
\(524\) −15.1779 + 1.26382i −0.663051 + 0.0552103i
\(525\) 3.54726 2.75410i 0.154815 0.120199i
\(526\) −15.2779 + 13.6384i −0.666147 + 0.594662i
\(527\) 21.7164 + 21.7164i 0.945980 + 0.945980i
\(528\) −12.9641 + 3.13528i −0.564188 + 0.136446i
\(529\) 18.4993 18.4993i 0.804318 0.804318i
\(530\) −0.586525 + 10.3448i −0.0254770 + 0.449348i
\(531\) −0.616915 + 1.28770i −0.0267718 + 0.0558814i
\(532\) 33.1919 17.1022i 1.43905 0.741474i
\(533\) 28.5057 19.0469i 1.23472 0.825012i
\(534\) −21.4691 31.1435i −0.929057 1.34771i
\(535\) −2.30734 5.57042i −0.0997552 0.240830i
\(536\) −9.05748 + 23.6138i −0.391224 + 1.01996i
\(537\) −41.9863 + 2.99183i −1.81184 + 0.129107i
\(538\) −33.5946 8.68507i −1.44837 0.374440i
\(539\) 0.523552 + 0.104141i 0.0225510 + 0.00448567i
\(540\) 10.3402 1.03892i 0.444973 0.0447078i
\(541\) 24.2354 + 16.1936i 1.04196 + 0.696216i 0.953969 0.299905i \(-0.0969551\pi\)
0.0879916 + 0.996121i \(0.471955\pi\)
\(542\) 30.5139 10.6589i 1.31069 0.457839i
\(543\) −2.51953 5.03669i −0.108124 0.216145i
\(544\) −17.5205 + 1.92644i −0.751187 + 0.0825956i
\(545\) −20.1067 −0.861277
\(546\) −12.4202 12.0652i −0.531537 0.516341i
\(547\) 9.77458 14.6287i 0.417931 0.625478i −0.561447 0.827512i \(-0.689755\pi\)
0.979378 + 0.202035i \(0.0647553\pi\)
\(548\) −29.0204 16.0797i −1.23969 0.686892i
\(549\) 17.5066 15.7087i 0.747162 0.670430i
\(550\) 2.63591 + 0.681449i 0.112395 + 0.0290571i
\(551\) −30.4753 12.6233i −1.29829 0.537770i
\(552\) 30.3033 16.1741i 1.28979 0.688414i
\(553\) 9.85393 4.08163i 0.419032 0.173569i
\(554\) −3.25566 23.1508i −0.138320 0.983582i
\(555\) 4.14107 7.26768i 0.175779 0.308496i
\(556\) 5.15998 16.1293i 0.218832 0.684037i
\(557\) 6.47929 + 32.5736i 0.274536 + 1.38019i 0.834198 + 0.551466i \(0.185931\pi\)
−0.559661 + 0.828721i \(0.689069\pi\)
\(558\) −31.9901 26.9318i −1.35425 1.14012i
\(559\) 9.52849 + 9.52849i 0.403012 + 0.403012i
\(560\) 7.55169 7.10883i 0.319117 0.300403i
\(561\) 3.28368 9.85722i 0.138637 0.416172i
\(562\) −25.8509 + 23.0768i −1.09046 + 0.973438i
\(563\) −5.01641 25.2192i −0.211416 1.06286i −0.930039 0.367462i \(-0.880227\pi\)
0.718622 0.695401i \(-0.244773\pi\)
\(564\) −1.74897 + 7.19403i −0.0736447 + 0.302923i
\(565\) 11.0076 7.35503i 0.463092 0.309428i
\(566\) 23.9571 31.7978i 1.00699 1.33656i
\(567\) 14.6231 + 18.1853i 0.614114 + 0.763710i
\(568\) −18.4168 3.15969i −0.772751 0.132578i
\(569\) 25.6175 + 10.6111i 1.07394 + 0.444840i 0.848379 0.529389i \(-0.177579\pi\)
0.225560 + 0.974229i \(0.427579\pi\)
\(570\) −14.8055 9.58513i −0.620133 0.401477i
\(571\) −24.2687 4.82735i −1.01561 0.202018i −0.340902 0.940099i \(-0.610732\pi\)
−0.674713 + 0.738081i \(0.735732\pi\)
\(572\) 1.18655 10.4302i 0.0496120 0.436107i
\(573\) −0.697014 + 5.53753i −0.0291182 + 0.231334i
\(574\) −20.0281 + 41.5317i −0.835957 + 1.73350i
\(575\) −7.01156 −0.292402
\(576\) 23.5444 4.65394i 0.981018 0.193914i
\(577\) −4.94251 −0.205759 −0.102880 0.994694i \(-0.532806\pi\)
−0.102880 + 0.994694i \(0.532806\pi\)
\(578\) −4.47893 + 9.28782i −0.186299 + 0.386322i
\(579\) 0.0866317 0.688258i 0.00360029 0.0286030i
\(580\) −9.10359 1.03564i −0.378006 0.0430024i
\(581\) 13.7487 + 2.73479i 0.570392 + 0.113458i
\(582\) −32.5070 21.0452i −1.34746 0.872352i
\(583\) −13.0311 5.39767i −0.539694 0.223549i
\(584\) −7.53767 + 5.33002i −0.311911 + 0.220558i
\(585\) −2.02693 + 7.92407i −0.0838034 + 0.327620i
\(586\) −7.10001 + 9.42372i −0.293299 + 0.389290i
\(587\) −2.53137 + 1.69141i −0.104481 + 0.0698118i −0.606713 0.794921i \(-0.707512\pi\)
0.502232 + 0.864733i \(0.332512\pi\)
\(588\) −0.933348 0.226909i −0.0384906 0.00935758i
\(589\) 13.8457 + 69.6069i 0.570501 + 2.86810i
\(590\) 0.502128 0.448244i 0.0206723 0.0184539i
\(591\) 12.0757 36.2500i 0.496729 1.49113i
\(592\) 7.92794 17.6156i 0.325836 0.723996i
\(593\) 14.0672 + 14.0672i 0.577669 + 0.577669i 0.934261 0.356591i \(-0.116061\pi\)
−0.356591 + 0.934261i \(0.616061\pi\)
\(594\) −3.30672 + 13.7550i −0.135677 + 0.564374i
\(595\) 1.57612 + 7.92370i 0.0646147 + 0.324840i
\(596\) 19.8752 + 6.35831i 0.814118 + 0.260447i
\(597\) −3.18734 + 5.59386i −0.130449 + 0.228941i
\(598\) 3.76479 + 26.7711i 0.153954 + 1.09475i
\(599\) −2.27826 + 0.943685i −0.0930871 + 0.0385579i −0.428741 0.903427i \(-0.641043\pi\)
0.335654 + 0.941985i \(0.391043\pi\)
\(600\) −4.68718 1.42491i −0.191353 0.0581717i
\(601\) 18.1960 + 7.53704i 0.742231 + 0.307442i 0.721567 0.692344i \(-0.243422\pi\)
0.0206638 + 0.999786i \(0.493422\pi\)
\(602\) −17.5464 4.53620i −0.715138 0.184882i
\(603\) 17.9155 + 19.9660i 0.729575 + 0.813076i
\(604\) 14.1663 25.5670i 0.576418 1.04031i
\(605\) 4.05223 6.06458i 0.164746 0.246560i
\(606\) −8.67985 8.43171i −0.352595 0.342515i
\(607\) 7.76496 0.315170 0.157585 0.987505i \(-0.449629\pi\)
0.157585 + 0.987505i \(0.449629\pi\)
\(608\) −36.1376 18.7923i −1.46557 0.762127i
\(609\) −9.20421 18.3998i −0.372974 0.745596i
\(610\) −10.4677 + 3.65650i −0.423825 + 0.148047i
\(611\) −4.84493 3.23728i −0.196005 0.130966i
\(612\) −6.65056 + 17.4724i −0.268833 + 0.706281i
\(613\) 21.6711 + 4.31065i 0.875288 + 0.174106i 0.612235 0.790676i \(-0.290271\pi\)
0.263053 + 0.964781i \(0.415271\pi\)
\(614\) −5.82342 1.50550i −0.235014 0.0607572i
\(615\) 21.7248 1.54805i 0.876029 0.0624235i
\(616\) 5.74574 + 12.8962i 0.231503 + 0.519602i
\(617\) −1.64541 3.97236i −0.0662415 0.159921i 0.887292 0.461208i \(-0.152584\pi\)
−0.953534 + 0.301287i \(0.902584\pi\)
\(618\) 0.180164 + 0.261350i 0.00724725 + 0.0105130i
\(619\) 5.43660 3.63262i 0.218515 0.146007i −0.441495 0.897264i \(-0.645552\pi\)
0.660011 + 0.751256i \(0.270552\pi\)
\(620\) 9.02904 + 17.5235i 0.362615 + 0.703762i
\(621\) −0.621582 36.4278i −0.0249432 1.46180i
\(622\) −0.598543 + 10.5567i −0.0239994 + 0.423286i
\(623\) −28.3124 + 28.3124i −1.13431 + 1.13431i
\(624\) −2.92377 + 18.6614i −0.117045 + 0.747054i
\(625\) 0.707107 + 0.707107i 0.0282843 + 0.0282843i
\(626\) −22.8041 + 20.3570i −0.911436 + 0.813628i
\(627\) 18.9645 14.7241i 0.757371 0.588025i
\(628\) −0.828947 9.95529i −0.0330786 0.397259i
\(629\) 8.36005 + 12.5117i 0.333337 + 0.498874i
\(630\) −3.06102 10.5659i −0.121954 0.420957i
\(631\) −21.1217 + 8.74888i −0.840840 + 0.348287i −0.761185 0.648535i \(-0.775382\pi\)
−0.0796552 + 0.996822i \(0.525382\pi\)
\(632\) −9.84165 6.20607i −0.391480 0.246864i
\(633\) −25.1973 + 1.79549i −1.00150 + 0.0713644i
\(634\) 18.7975 + 31.9056i 0.746545 + 1.26713i
\(635\) −2.43133 + 12.2231i −0.0964842 + 0.485059i
\(636\) 23.0182 + 10.6917i 0.912732 + 0.423953i
\(637\) 0.420001 0.628577i 0.0166411 0.0249051i
\(638\) 5.41765 11.2344i 0.214487 0.444775i
\(639\) −11.8856 + 15.8600i −0.470189 + 0.627411i
\(640\) −11.0879 2.24891i −0.438289 0.0888959i
\(641\) 32.3622i 1.27823i −0.769112 0.639115i \(-0.779301\pi\)
0.769112 0.639115i \(-0.220699\pi\)
\(642\) −14.7674 + 0.214141i −0.582821 + 0.00845148i
\(643\) 9.71560 + 6.49176i 0.383146 + 0.256010i 0.732196 0.681094i \(-0.238496\pi\)
−0.349050 + 0.937104i \(0.613496\pi\)
\(644\) −22.6392 28.4513i −0.892109 1.12114i
\(645\) 2.26267 + 8.25628i 0.0890925 + 0.325091i
\(646\) 27.3372 16.1060i 1.07557 0.633681i
\(647\) 7.92622 19.1356i 0.311612 0.752297i −0.688034 0.725678i \(-0.741526\pi\)
0.999646 0.0266187i \(-0.00847400\pi\)
\(648\) 6.98744 24.4781i 0.274493 0.961589i
\(649\) 0.350642 + 0.846525i 0.0137639 + 0.0332290i
\(650\) 2.32016 3.07951i 0.0910042 0.120788i
\(651\) −21.9138 + 38.4592i −0.858868 + 1.50734i
\(652\) 29.5082 2.45706i 1.15563 0.0962259i
\(653\) −30.7481 + 6.11619i −1.20327 + 0.239345i −0.755708 0.654909i \(-0.772707\pi\)
−0.447560 + 0.894254i \(0.647707\pi\)
\(654\) −18.1859 + 45.7707i −0.711124 + 1.78978i
\(655\) 5.38478 5.38478i 0.210401 0.210401i
\(656\) 49.6058 8.31873i 1.93678 0.324792i
\(657\) 1.38842 + 9.69284i 0.0541675 + 0.378154i
\(658\) 7.82423 + 0.443616i 0.305020 + 0.0172940i
\(659\) 20.5970 4.09699i 0.802344 0.159596i 0.223148 0.974785i \(-0.428367\pi\)
0.579196 + 0.815188i \(0.303367\pi\)
\(660\) 3.93533 5.38399i 0.153183 0.209572i
\(661\) −4.07240 6.09477i −0.158398 0.237059i 0.743779 0.668426i \(-0.233032\pi\)
−0.902177 + 0.431367i \(0.858032\pi\)
\(662\) 6.85693 + 48.7592i 0.266502 + 1.89508i
\(663\) −11.1176 9.63857i −0.431772 0.374331i
\(664\) −6.22337 13.9682i −0.241514 0.542072i
\(665\) −7.14447 + 17.2483i −0.277051 + 0.668860i
\(666\) −12.7986 16.0001i −0.495936 0.619990i
\(667\) −6.26650 + 31.5038i −0.242640 + 1.21983i
\(668\) −4.65357 16.2184i −0.180052 0.627508i
\(669\) 5.61850 44.6370i 0.217224 1.72576i
\(670\) −4.17017 11.9382i −0.161108 0.461215i
\(671\) 15.0939i 0.582692i
\(672\) −9.35218 23.6203i −0.360768 0.911172i
\(673\) 31.7247i 1.22290i −0.791284 0.611449i \(-0.790587\pi\)
0.791284 0.611449i \(-0.209413\pi\)
\(674\) −8.88480 + 3.10357i −0.342230 + 0.119545i
\(675\) −3.61101 + 3.73639i −0.138988 + 0.143814i
\(676\) 9.73849 + 5.39594i 0.374557 + 0.207536i
\(677\) 7.59975 38.2065i 0.292082 1.46840i −0.504261 0.863552i \(-0.668235\pi\)
0.796343 0.604845i \(-0.206765\pi\)
\(678\) −6.78689 31.7099i −0.260649 1.21781i
\(679\) −15.6865 + 37.8705i −0.601991 + 1.45334i
\(680\) 6.06486 6.39434i 0.232577 0.245212i
\(681\) 16.0075 18.4638i 0.613408 0.707535i
\(682\) −26.5734 + 3.73697i −1.01755 + 0.143096i
\(683\) 22.9347 + 34.3242i 0.877572 + 1.31338i 0.948786 + 0.315919i \(0.102313\pi\)
−0.0712141 + 0.997461i \(0.522687\pi\)
\(684\) −35.2105 + 25.0335i −1.34631 + 0.957181i
\(685\) 16.2699 3.23629i 0.621643 0.123652i
\(686\) −1.51052 + 26.6416i −0.0576718 + 1.01718i
\(687\) −1.53048 + 4.59434i −0.0583916 + 0.175285i
\(688\) 7.01074 + 18.4853i 0.267282 + 0.704747i
\(689\) −14.1246 + 14.1246i −0.538106 + 0.538106i
\(690\) −6.34173 + 15.9610i −0.241426 + 0.607626i
\(691\) −24.3922 + 4.85191i −0.927923 + 0.184575i −0.635843 0.771819i \(-0.719347\pi\)
−0.292080 + 0.956394i \(0.594347\pi\)
\(692\) −0.247879 + 0.292909i −0.00942294 + 0.0111347i
\(693\) 14.9528 + 0.809366i 0.568009 + 0.0307453i
\(694\) 12.9797 + 9.77915i 0.492702 + 0.371211i
\(695\) 3.24030 + 7.82277i 0.122912 + 0.296735i
\(696\) −10.5914 + 19.7866i −0.401466 + 0.750009i
\(697\) −14.9940 + 36.1987i −0.567937 + 1.37112i
\(698\) 0.0478565 + 0.0812283i 0.00181140 + 0.00307454i
\(699\) 9.42465 2.58286i 0.356473 0.0976929i
\(700\) −0.586144 + 5.15241i −0.0221542 + 0.194743i
\(701\) −11.7793 7.87067i −0.444897 0.297271i 0.312870 0.949796i \(-0.398710\pi\)
−0.757767 + 0.652525i \(0.773710\pi\)
\(702\) 16.2050 + 11.7812i 0.611616 + 0.444651i
\(703\) 34.7733i 1.31150i
\(704\) 7.86767 13.2399i 0.296524 0.498998i
\(705\) −1.65612 3.31067i −0.0623729 0.124687i
\(706\) 1.99725 + 0.963145i 0.0751673 + 0.0362484i
\(707\) −7.11633 + 10.6503i −0.267637 + 0.400547i
\(708\) −0.566219 1.54846i −0.0212798 0.0581947i
\(709\) 3.93900 19.8027i 0.147932 0.743706i −0.833594 0.552378i \(-0.813721\pi\)
0.981526 0.191328i \(-0.0612795\pi\)
\(710\) 8.04974 4.74259i 0.302101 0.177986i
\(711\) −10.6166 + 6.29156i −0.398152 + 0.235952i
\(712\) 43.0492 + 7.38576i 1.61334 + 0.276793i
\(713\) 63.8485 26.4469i 2.39114 0.990444i
\(714\) 19.4630 + 3.57887i 0.728383 + 0.133936i
\(715\) 2.91603 + 4.36415i 0.109053 + 0.163210i
\(716\) 31.3982 37.1020i 1.17341 1.38657i
\(717\) 1.75587 + 2.26155i 0.0655743 + 0.0844592i
\(718\) 5.51433 + 6.17721i 0.205793 + 0.230531i
\(719\) 23.3536 + 23.3536i 0.870941 + 0.870941i 0.992575 0.121634i \(-0.0388134\pi\)
−0.121634 + 0.992575i \(0.538813\pi\)
\(720\) −7.48305 + 9.38105i −0.278877 + 0.349611i
\(721\) 0.237592 0.237592i 0.00884838 0.00884838i
\(722\) 46.3769 + 2.62947i 1.72597 + 0.0978586i
\(723\) −20.1157 + 15.6179i −0.748109 + 0.580834i
\(724\) 6.19373 + 1.98145i 0.230188 + 0.0736401i
\(725\) 3.80909 2.54515i 0.141466 0.0945246i
\(726\) −10.1402 14.7097i −0.376339 0.545927i
\(727\) −4.55894 11.0063i −0.169082 0.408199i 0.816512 0.577328i \(-0.195905\pi\)
−0.985594 + 0.169129i \(0.945905\pi\)
\(728\) 19.9874 0.528553i 0.740781 0.0195895i
\(729\) −19.7321 18.4294i −0.730819 0.682571i
\(730\) 1.15534 4.46896i 0.0427611 0.165404i
\(731\) −15.1045 3.00446i −0.558659 0.111124i
\(732\) −1.14410 + 27.1357i −0.0422871 + 1.00297i
\(733\) −4.42496 2.95666i −0.163439 0.109207i 0.471161 0.882047i \(-0.343835\pi\)
−0.634600 + 0.772841i \(0.718835\pi\)
\(734\) −7.31742 20.9481i −0.270091 0.773208i
\(735\) 0.429523 0.214863i 0.0158432 0.00792534i
\(736\) −11.0826 + 38.0836i −0.408509 + 1.40378i
\(737\) 17.2143 0.634097
\(738\) 16.1254 50.8542i 0.593585 1.87197i
\(739\) 21.0446 31.4955i 0.774140 1.15858i −0.209389 0.977832i \(-0.567148\pi\)
0.983529 0.180750i \(-0.0578524\pi\)
\(740\) 2.66389 + 9.28407i 0.0979267 + 0.341289i
\(741\) −8.98709 32.7931i −0.330149 1.20469i
\(742\) 6.72428 26.0101i 0.246856 0.954860i
\(743\) −1.97253 0.817050i −0.0723653 0.0299747i 0.346207 0.938158i \(-0.387469\pi\)
−0.418572 + 0.908183i \(0.637469\pi\)
\(744\) 48.0568 4.70410i 1.76185 0.172461i
\(745\) −9.63950 + 3.99281i −0.353164 + 0.146285i
\(746\) 44.8434 6.30627i 1.64183 0.230889i
\(747\) −16.1958 0.876646i −0.592572 0.0320748i
\(748\) 5.49499 + 10.6647i 0.200917 + 0.389939i
\(749\) 3.04987 + 15.3327i 0.111440 + 0.560245i
\(750\) 2.24920 0.970093i 0.0821293 0.0354228i
\(751\) −1.47880 1.47880i −0.0539621 0.0539621i 0.679611 0.733573i \(-0.262149\pi\)
−0.733573 + 0.679611i \(0.762149\pi\)
\(752\) −4.53273 7.24833i −0.165292 0.264320i
\(753\) 9.93821 + 3.31065i 0.362168 + 0.120647i
\(754\) −11.7630 13.1771i −0.428384 0.479880i
\(755\) 2.85119 + 14.3339i 0.103765 + 0.521663i
\(756\) −26.8208 2.58848i −0.975462 0.0941423i
\(757\) 2.43849 1.62935i 0.0886284 0.0592196i −0.510466 0.859898i \(-0.670527\pi\)
0.599095 + 0.800678i \(0.295527\pi\)
\(758\) 3.52551 + 2.65619i 0.128052 + 0.0964771i
\(759\) −17.6652 15.3151i −0.641205 0.555903i
\(760\) 19.8625 4.49983i 0.720490 0.163226i
\(761\) −21.5630 8.93167i −0.781657 0.323773i −0.0440730 0.999028i \(-0.514033\pi\)
−0.737584 + 0.675255i \(0.764033\pi\)
\(762\) 25.6255 + 16.5900i 0.928312 + 0.600994i
\(763\) 51.1314 + 10.1707i 1.85108 + 0.368203i
\(764\) −4.01275 5.04294i −0.145176 0.182447i
\(765\) −3.10519 8.81684i −0.112269 0.318773i
\(766\) 2.41154 + 1.16293i 0.0871324 + 0.0420184i
\(767\) 1.29763 0.0468547
\(768\) −15.1481 + 23.2064i −0.546609 + 0.837388i
\(769\) −18.4376 −0.664877 −0.332438 0.943125i \(-0.607871\pi\)
−0.332438 + 0.943125i \(0.607871\pi\)
\(770\) −6.35841 3.06626i −0.229141 0.110500i
\(771\) 2.40665 + 0.302927i 0.0866734 + 0.0109097i
\(772\) 0.498744 + 0.626786i 0.0179502 + 0.0225585i
\(773\) 10.1347 + 2.01592i 0.364520 + 0.0725075i 0.373952 0.927448i \(-0.378002\pi\)
−0.00