Properties

Label 418.2.f.h.115.2
Level $418$
Weight $2$
Character 418.115
Analytic conductor $3.338$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.f (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
Defining polynomial: \( x^{20} - x^{19} + 11 x^{18} - 3 x^{17} + 103 x^{16} + 50 x^{15} + 1002 x^{14} + 1120 x^{13} + 7288 x^{12} + 5704 x^{11} + 24392 x^{10} + 10376 x^{9} + 48880 x^{8} + 21224 x^{7} + \cdots + 1936 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 115.2
Root \(-0.649220 + 1.99809i\) of defining polynomial
Character \(\chi\) \(=\) 418.115
Dual form 418.2.f.h.229.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 - 0.951057i) q^{2} +(-1.69968 - 1.23489i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.760196 - 2.33964i) q^{5} +(-0.649220 + 1.99809i) q^{6} +(2.50791 - 1.82211i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.436908 + 1.34467i) q^{9} +O(q^{10})\) \(q+(-0.309017 - 0.951057i) q^{2} +(-1.69968 - 1.23489i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.760196 - 2.33964i) q^{5} +(-0.649220 + 1.99809i) q^{6} +(2.50791 - 1.82211i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.436908 + 1.34467i) q^{9} -2.46005 q^{10} +(3.02483 - 1.36030i) q^{11} +2.10092 q^{12} +(-1.22937 - 3.78361i) q^{13} +(-2.50791 - 1.82211i) q^{14} +(-4.18129 + 3.03789i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.663077 + 2.04074i) q^{17} +(1.14384 - 0.831049i) q^{18} +(0.809017 + 0.587785i) q^{19} +(0.760196 + 2.33964i) q^{20} -6.51275 q^{21} +(-2.22845 - 2.45643i) q^{22} -2.55940 q^{23} +(-0.649220 - 1.99809i) q^{24} +(-0.850949 - 0.618250i) q^{25} +(-3.21853 + 2.33840i) q^{26} +(-1.02975 + 3.16925i) q^{27} +(-0.957938 + 2.94823i) q^{28} +(-5.26156 + 3.82275i) q^{29} +(4.18129 + 3.03789i) q^{30} +(0.459307 + 1.41360i) q^{31} -1.00000 q^{32} +(-6.82106 - 1.42325i) q^{33} +2.14576 q^{34} +(-2.35657 - 7.25278i) q^{35} +(-1.14384 - 0.831049i) q^{36} +(1.41514 - 1.02816i) q^{37} +(0.309017 - 0.951057i) q^{38} +(-2.58281 + 7.94906i) q^{39} +(1.99022 - 1.44598i) q^{40} +(-4.43769 - 3.22417i) q^{41} +(2.01255 + 6.19400i) q^{42} +4.59472 q^{43} +(-1.64757 + 2.87846i) q^{44} +3.47817 q^{45} +(0.790899 + 2.43414i) q^{46} +(2.75579 + 2.00220i) q^{47} +(-1.69968 + 1.23489i) q^{48} +(0.806443 - 2.48198i) q^{49} +(-0.325033 + 1.00035i) q^{50} +(3.64711 - 2.64978i) q^{51} +(3.21853 + 2.33840i) q^{52} +(-3.63432 - 11.1853i) q^{53} +3.33234 q^{54} +(-0.883158 - 8.11111i) q^{55} +3.09995 q^{56} +(-0.649220 - 1.99809i) q^{57} +(5.26156 + 3.82275i) q^{58} +(5.38019 - 3.90894i) q^{59} +(1.59711 - 4.91540i) q^{60} +(-1.95935 + 6.03026i) q^{61} +(1.20248 - 0.873654i) q^{62} +(3.54585 + 2.57621i) q^{63} +(0.309017 + 0.951057i) q^{64} -9.78686 q^{65} +(0.754232 + 6.92702i) q^{66} +14.1154 q^{67} +(-0.663077 - 2.04074i) q^{68} +(4.35016 + 3.16058i) q^{69} +(-6.16959 + 4.48247i) q^{70} +(-4.93486 + 15.1879i) q^{71} +(-0.436908 + 1.34467i) q^{72} +(2.56962 - 1.86694i) q^{73} +(-1.41514 - 1.02816i) q^{74} +(0.682869 + 2.10166i) q^{75} -1.00000 q^{76} +(5.10739 - 8.92308i) q^{77} +8.35814 q^{78} +(2.24244 + 6.90153i) q^{79} +(-1.99022 - 1.44598i) q^{80} +(9.09544 - 6.60822i) q^{81} +(-1.69505 + 5.21682i) q^{82} +(3.46611 - 10.6676i) q^{83} +(5.26893 - 3.82810i) q^{84} +(4.27054 + 3.10273i) q^{85} +(-1.41985 - 4.36984i) q^{86} +13.6636 q^{87} +(3.24670 + 0.677442i) q^{88} -4.63686 q^{89} +(-1.07481 - 3.30794i) q^{90} +(-9.97729 - 7.24893i) q^{91} +(2.07060 - 1.50438i) q^{92} +(0.964967 - 2.96986i) q^{93} +(1.05262 - 3.23963i) q^{94} +(1.99022 - 1.44598i) q^{95} +(1.69968 + 1.23489i) q^{96} +(-1.69057 - 5.20305i) q^{97} -2.60971 q^{98} +(3.15072 + 3.47305i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q + 5 q^{2} - q^{3} - 5 q^{4} - q^{5} + q^{6} + 13 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q + 5 q^{2} - q^{3} - 5 q^{4} - q^{5} + q^{6} + 13 q^{7} + 5 q^{8} - 6 q^{9} + 6 q^{10} + q^{11} + 4 q^{12} - 2 q^{13} - 13 q^{14} - 8 q^{15} - 5 q^{16} + 11 q^{17} + 6 q^{18} + 5 q^{19} - q^{20} + 2 q^{21} + 4 q^{22} + 28 q^{23} + q^{24} - 30 q^{25} - 13 q^{26} - 31 q^{27} - 2 q^{28} + 28 q^{29} + 8 q^{30} - q^{31} - 20 q^{32} + 9 q^{33} + 24 q^{34} - 11 q^{35} - 6 q^{36} + 8 q^{37} - 5 q^{38} + 18 q^{39} - 4 q^{40} - 5 q^{41} - 22 q^{42} - 44 q^{43} + 11 q^{44} - 4 q^{45} + 7 q^{46} - 39 q^{47} - q^{48} + 4 q^{49} - 25 q^{50} - 11 q^{51} + 13 q^{52} - q^{53} - 4 q^{54} + 8 q^{55} + 22 q^{56} + q^{57} - 28 q^{58} + 6 q^{59} + 7 q^{60} + 10 q^{61} + 11 q^{62} + 34 q^{63} - 5 q^{64} - 8 q^{65} + 41 q^{66} + 18 q^{67} + 11 q^{68} - 63 q^{69} + q^{70} - 3 q^{71} + 6 q^{72} + 5 q^{73} - 8 q^{74} + 5 q^{75} - 20 q^{76} + 36 q^{77} + 22 q^{78} + 19 q^{79} + 4 q^{80} + 63 q^{81} - 9 q^{83} - 23 q^{84} + 30 q^{85} - 26 q^{86} - 16 q^{87} - q^{88} + 44 q^{89} + 14 q^{90} - 68 q^{91} - 7 q^{92} + 27 q^{93} - 31 q^{94} - 4 q^{95} + q^{96} - 71 q^{97} + 6 q^{98} + 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 0.951057i −0.218508 0.672499i
\(3\) −1.69968 1.23489i −0.981311 0.712964i −0.0233095 0.999728i \(-0.507420\pi\)
−0.958001 + 0.286764i \(0.907420\pi\)
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 0.760196 2.33964i 0.339970 1.04632i −0.624252 0.781223i \(-0.714596\pi\)
0.964222 0.265097i \(-0.0854040\pi\)
\(6\) −0.649220 + 1.99809i −0.265043 + 0.815718i
\(7\) 2.50791 1.82211i 0.947903 0.688691i −0.00240735 0.999997i \(-0.500766\pi\)
0.950310 + 0.311306i \(0.100766\pi\)
\(8\) 0.809017 + 0.587785i 0.286031 + 0.207813i
\(9\) 0.436908 + 1.34467i 0.145636 + 0.448222i
\(10\) −2.46005 −0.777935
\(11\) 3.02483 1.36030i 0.912020 0.410146i
\(12\) 2.10092 0.606483
\(13\) −1.22937 3.78361i −0.340966 1.04938i −0.963708 0.266958i \(-0.913982\pi\)
0.622743 0.782427i \(-0.286018\pi\)
\(14\) −2.50791 1.82211i −0.670268 0.486978i
\(15\) −4.18129 + 3.03789i −1.07960 + 0.784379i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −0.663077 + 2.04074i −0.160820 + 0.494953i −0.998704 0.0508954i \(-0.983792\pi\)
0.837884 + 0.545848i \(0.183792\pi\)
\(18\) 1.14384 0.831049i 0.269606 0.195880i
\(19\) 0.809017 + 0.587785i 0.185601 + 0.134847i
\(20\) 0.760196 + 2.33964i 0.169985 + 0.523160i
\(21\) −6.51275 −1.42120
\(22\) −2.22845 2.45643i −0.475106 0.523712i
\(23\) −2.55940 −0.533672 −0.266836 0.963742i \(-0.585978\pi\)
−0.266836 + 0.963742i \(0.585978\pi\)
\(24\) −0.649220 1.99809i −0.132521 0.407859i
\(25\) −0.850949 0.618250i −0.170190 0.123650i
\(26\) −3.21853 + 2.33840i −0.631206 + 0.458598i
\(27\) −1.02975 + 3.16925i −0.198176 + 0.609922i
\(28\) −0.957938 + 2.94823i −0.181033 + 0.557163i
\(29\) −5.26156 + 3.82275i −0.977048 + 0.709867i −0.957047 0.289933i \(-0.906367\pi\)
−0.0200009 + 0.999800i \(0.506367\pi\)
\(30\) 4.18129 + 3.03789i 0.763396 + 0.554640i
\(31\) 0.459307 + 1.41360i 0.0824940 + 0.253890i 0.983793 0.179307i \(-0.0573854\pi\)
−0.901299 + 0.433197i \(0.857385\pi\)
\(32\) −1.00000 −0.176777
\(33\) −6.82106 1.42325i −1.18739 0.247756i
\(34\) 2.14576 0.367995
\(35\) −2.35657 7.25278i −0.398333 1.22594i
\(36\) −1.14384 0.831049i −0.190640 0.138508i
\(37\) 1.41514 1.02816i 0.232648 0.169029i −0.465354 0.885125i \(-0.654073\pi\)
0.698002 + 0.716096i \(0.254073\pi\)
\(38\) 0.309017 0.951057i 0.0501292 0.154282i
\(39\) −2.58281 + 7.94906i −0.413580 + 1.27287i
\(40\) 1.99022 1.44598i 0.314681 0.228629i
\(41\) −4.43769 3.22417i −0.693051 0.503531i 0.184610 0.982812i \(-0.440898\pi\)
−0.877662 + 0.479281i \(0.840898\pi\)
\(42\) 2.01255 + 6.19400i 0.310543 + 0.955754i
\(43\) 4.59472 0.700689 0.350344 0.936621i \(-0.386065\pi\)
0.350344 + 0.936621i \(0.386065\pi\)
\(44\) −1.64757 + 2.87846i −0.248381 + 0.433944i
\(45\) 3.47817 0.518495
\(46\) 0.790899 + 2.43414i 0.116612 + 0.358894i
\(47\) 2.75579 + 2.00220i 0.401973 + 0.292051i 0.770344 0.637628i \(-0.220084\pi\)
−0.368371 + 0.929679i \(0.620084\pi\)
\(48\) −1.69968 + 1.23489i −0.245328 + 0.178241i
\(49\) 0.806443 2.48198i 0.115206 0.354568i
\(50\) −0.325033 + 1.00035i −0.0459667 + 0.141471i
\(51\) 3.64711 2.64978i 0.510698 0.371044i
\(52\) 3.21853 + 2.33840i 0.446330 + 0.324278i
\(53\) −3.63432 11.1853i −0.499212 1.53642i −0.810288 0.586032i \(-0.800689\pi\)
0.311076 0.950385i \(-0.399311\pi\)
\(54\) 3.33234 0.453475
\(55\) −0.883158 8.11111i −0.119085 1.09370i
\(56\) 3.09995 0.414249
\(57\) −0.649220 1.99809i −0.0859913 0.264654i
\(58\) 5.26156 + 3.82275i 0.690877 + 0.501952i
\(59\) 5.38019 3.90894i 0.700441 0.508900i −0.179635 0.983733i \(-0.557492\pi\)
0.880076 + 0.474833i \(0.157492\pi\)
\(60\) 1.59711 4.91540i 0.206186 0.634576i
\(61\) −1.95935 + 6.03026i −0.250869 + 0.772096i 0.743746 + 0.668462i \(0.233047\pi\)
−0.994616 + 0.103634i \(0.966953\pi\)
\(62\) 1.20248 0.873654i 0.152715 0.110954i
\(63\) 3.54585 + 2.57621i 0.446735 + 0.324572i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −9.78686 −1.21391
\(66\) 0.754232 + 6.92702i 0.0928395 + 0.852658i
\(67\) 14.1154 1.72447 0.862236 0.506506i \(-0.169063\pi\)
0.862236 + 0.506506i \(0.169063\pi\)
\(68\) −0.663077 2.04074i −0.0804099 0.247476i
\(69\) 4.35016 + 3.16058i 0.523698 + 0.380489i
\(70\) −6.16959 + 4.48247i −0.737407 + 0.535757i
\(71\) −4.93486 + 15.1879i −0.585661 + 1.80248i 0.0109410 + 0.999940i \(0.496517\pi\)
−0.596602 + 0.802538i \(0.703483\pi\)
\(72\) −0.436908 + 1.34467i −0.0514901 + 0.158470i
\(73\) 2.56962 1.86694i 0.300752 0.218509i −0.427166 0.904173i \(-0.640488\pi\)
0.727918 + 0.685664i \(0.240488\pi\)
\(74\) −1.41514 1.02816i −0.164507 0.119521i
\(75\) 0.682869 + 2.10166i 0.0788509 + 0.242678i
\(76\) −1.00000 −0.114708
\(77\) 5.10739 8.92308i 0.582041 1.01688i
\(78\) 8.35814 0.946373
\(79\) 2.24244 + 6.90153i 0.252294 + 0.776482i 0.994351 + 0.106145i \(0.0338507\pi\)
−0.742056 + 0.670338i \(0.766149\pi\)
\(80\) −1.99022 1.44598i −0.222513 0.161665i
\(81\) 9.09544 6.60822i 1.01060 0.734247i
\(82\) −1.69505 + 5.21682i −0.187187 + 0.576102i
\(83\) 3.46611 10.6676i 0.380454 1.17092i −0.559270 0.828986i \(-0.688918\pi\)
0.939724 0.341933i \(-0.111082\pi\)
\(84\) 5.26893 3.82810i 0.574887 0.417680i
\(85\) 4.27054 + 3.10273i 0.463205 + 0.336538i
\(86\) −1.41985 4.36984i −0.153106 0.471212i
\(87\) 13.6636 1.46490
\(88\) 3.24670 + 0.677442i 0.346100 + 0.0722155i
\(89\) −4.63686 −0.491506 −0.245753 0.969332i \(-0.579035\pi\)
−0.245753 + 0.969332i \(0.579035\pi\)
\(90\) −1.07481 3.30794i −0.113295 0.348687i
\(91\) −9.97729 7.24893i −1.04590 0.759894i
\(92\) 2.07060 1.50438i 0.215875 0.156842i
\(93\) 0.964967 2.96986i 0.100062 0.307960i
\(94\) 1.05262 3.23963i 0.108569 0.334142i
\(95\) 1.99022 1.44598i 0.204192 0.148354i
\(96\) 1.69968 + 1.23489i 0.173473 + 0.126035i
\(97\) −1.69057 5.20305i −0.171652 0.528290i 0.827813 0.561004i \(-0.189585\pi\)
−0.999465 + 0.0327144i \(0.989585\pi\)
\(98\) −2.60971 −0.263620
\(99\) 3.15072 + 3.47305i 0.316659 + 0.349055i
\(100\) 1.05183 0.105183
\(101\) −1.79382 5.52081i −0.178492 0.549341i 0.821284 0.570520i \(-0.193258\pi\)
−0.999776 + 0.0211787i \(0.993258\pi\)
\(102\) −3.64711 2.64978i −0.361118 0.262367i
\(103\) 7.73664 5.62100i 0.762313 0.553853i −0.137306 0.990529i \(-0.543844\pi\)
0.899619 + 0.436676i \(0.143844\pi\)
\(104\) 1.22937 3.78361i 0.120550 0.371013i
\(105\) −4.95097 + 15.2375i −0.483165 + 1.48703i
\(106\) −9.51477 + 6.91289i −0.924156 + 0.671439i
\(107\) 11.7844 + 8.56187i 1.13924 + 0.827707i 0.987013 0.160638i \(-0.0513552\pi\)
0.152228 + 0.988345i \(0.451355\pi\)
\(108\) −1.02975 3.16925i −0.0990878 0.304961i
\(109\) −3.38080 −0.323822 −0.161911 0.986805i \(-0.551766\pi\)
−0.161911 + 0.986805i \(0.551766\pi\)
\(110\) −7.44122 + 3.34641i −0.709492 + 0.319067i
\(111\) −3.67496 −0.348811
\(112\) −0.957938 2.94823i −0.0905166 0.278582i
\(113\) −9.19594 6.68124i −0.865081 0.628518i 0.0641814 0.997938i \(-0.479556\pi\)
−0.929263 + 0.369420i \(0.879556\pi\)
\(114\) −1.69968 + 1.23489i −0.159190 + 0.115658i
\(115\) −1.94565 + 5.98809i −0.181433 + 0.558392i
\(116\) 2.00974 6.18534i 0.186600 0.574294i
\(117\) 4.55057 3.30618i 0.420700 0.305656i
\(118\) −5.38019 3.90894i −0.495287 0.359847i
\(119\) 2.05551 + 6.32620i 0.188428 + 0.579922i
\(120\) −5.16836 −0.471805
\(121\) 7.29916 8.22935i 0.663560 0.748123i
\(122\) 6.34059 0.574050
\(123\) 3.56116 + 10.9601i 0.321099 + 0.988241i
\(124\) −1.20248 0.873654i −0.107986 0.0784564i
\(125\) 7.85772 5.70897i 0.702816 0.510626i
\(126\) 1.35439 4.16840i 0.120659 0.371350i
\(127\) −4.12433 + 12.6934i −0.365975 + 1.12636i 0.583393 + 0.812190i \(0.301725\pi\)
−0.949368 + 0.314166i \(0.898275\pi\)
\(128\) 0.809017 0.587785i 0.0715077 0.0519534i
\(129\) −7.80956 5.67398i −0.687593 0.499566i
\(130\) 3.02431 + 9.30786i 0.265249 + 0.816353i
\(131\) −4.58757 −0.400818 −0.200409 0.979712i \(-0.564227\pi\)
−0.200409 + 0.979712i \(0.564227\pi\)
\(132\) 6.35492 2.85788i 0.553125 0.248747i
\(133\) 3.09995 0.268800
\(134\) −4.36190 13.4246i −0.376811 1.15971i
\(135\) 6.63210 + 4.81850i 0.570800 + 0.414710i
\(136\) −1.73596 + 1.26125i −0.148857 + 0.108151i
\(137\) −4.21408 + 12.9696i −0.360033 + 1.10807i 0.593000 + 0.805203i \(0.297943\pi\)
−0.953033 + 0.302866i \(0.902057\pi\)
\(138\) 1.66161 5.11392i 0.141446 0.435326i
\(139\) 4.68407 3.40317i 0.397297 0.288653i −0.371142 0.928576i \(-0.621034\pi\)
0.768439 + 0.639923i \(0.221034\pi\)
\(140\) 6.16959 + 4.48247i 0.521425 + 0.378838i
\(141\) −2.21147 6.80619i −0.186239 0.573185i
\(142\) 15.9696 1.34014
\(143\) −8.86548 9.77245i −0.741369 0.817213i
\(144\) 1.41386 0.117822
\(145\) 4.94405 + 15.2162i 0.410581 + 1.26364i
\(146\) −2.56962 1.86694i −0.212663 0.154509i
\(147\) −4.43566 + 3.22270i −0.365847 + 0.265804i
\(148\) −0.540537 + 1.66360i −0.0444318 + 0.136747i
\(149\) −3.19841 + 9.84368i −0.262024 + 0.806426i 0.730340 + 0.683083i \(0.239361\pi\)
−0.992364 + 0.123343i \(0.960639\pi\)
\(150\) 1.78777 1.29889i 0.145971 0.106054i
\(151\) 9.84824 + 7.15517i 0.801438 + 0.582279i 0.911336 0.411664i \(-0.135052\pi\)
−0.109897 + 0.993943i \(0.535052\pi\)
\(152\) 0.309017 + 0.951057i 0.0250646 + 0.0771409i
\(153\) −3.03382 −0.245270
\(154\) −10.0646 2.10004i −0.811030 0.169226i
\(155\) 3.65649 0.293696
\(156\) −2.58281 7.94906i −0.206790 0.636434i
\(157\) −3.01269 2.18885i −0.240439 0.174689i 0.461040 0.887379i \(-0.347476\pi\)
−0.701479 + 0.712690i \(0.747476\pi\)
\(158\) 5.87079 4.26538i 0.467055 0.339335i
\(159\) −7.63541 + 23.4994i −0.605528 + 1.86362i
\(160\) −0.760196 + 2.33964i −0.0600988 + 0.184965i
\(161\) −6.41876 + 4.66350i −0.505869 + 0.367535i
\(162\) −9.09544 6.60822i −0.714605 0.519191i
\(163\) −6.14697 18.9184i −0.481468 1.48181i −0.837032 0.547155i \(-0.815711\pi\)
0.355563 0.934652i \(-0.384289\pi\)
\(164\) 5.48529 0.428329
\(165\) −8.51524 + 14.8769i −0.662911 + 1.15817i
\(166\) −11.2166 −0.870573
\(167\) −6.79426 20.9106i −0.525755 1.61811i −0.762817 0.646614i \(-0.776184\pi\)
0.237062 0.971495i \(-0.423816\pi\)
\(168\) −5.26893 3.82810i −0.406507 0.295344i
\(169\) −2.28713 + 1.66170i −0.175933 + 0.127823i
\(170\) 1.63120 5.02032i 0.125107 0.385041i
\(171\) −0.436908 + 1.34467i −0.0334112 + 0.102829i
\(172\) −3.71721 + 2.70071i −0.283434 + 0.205927i
\(173\) 20.6153 + 14.9779i 1.56735 + 1.13875i 0.929641 + 0.368467i \(0.120117\pi\)
0.637708 + 0.770278i \(0.279883\pi\)
\(174\) −4.22230 12.9949i −0.320092 0.985141i
\(175\) −3.26062 −0.246480
\(176\) −0.359001 3.29714i −0.0270607 0.248531i
\(177\) −13.9717 −1.05018
\(178\) 1.43287 + 4.40992i 0.107398 + 0.330537i
\(179\) −18.4362 13.3947i −1.37799 1.00117i −0.997065 0.0765594i \(-0.975607\pi\)
−0.380922 0.924607i \(-0.624393\pi\)
\(180\) −2.81390 + 2.04442i −0.209736 + 0.152382i
\(181\) −0.477575 + 1.46983i −0.0354979 + 0.109251i −0.967235 0.253881i \(-0.918293\pi\)
0.931738 + 0.363132i \(0.118293\pi\)
\(182\) −3.81099 + 11.7290i −0.282489 + 0.869412i
\(183\) 10.7770 7.82993i 0.796657 0.578805i
\(184\) −2.07060 1.50438i −0.152647 0.110904i
\(185\) −1.32975 4.09254i −0.0977648 0.300889i
\(186\) −3.12270 −0.228967
\(187\) 0.770330 + 7.07488i 0.0563321 + 0.517366i
\(188\) −3.40634 −0.248433
\(189\) 3.19218 + 9.82452i 0.232197 + 0.714628i
\(190\) −1.99022 1.44598i −0.144386 0.104902i
\(191\) −5.77965 + 4.19916i −0.418201 + 0.303841i −0.776914 0.629607i \(-0.783216\pi\)
0.358713 + 0.933448i \(0.383216\pi\)
\(192\) 0.649220 1.99809i 0.0468534 0.144200i
\(193\) −3.73849 + 11.5059i −0.269102 + 0.828211i 0.721618 + 0.692292i \(0.243399\pi\)
−0.990720 + 0.135920i \(0.956601\pi\)
\(194\) −4.42598 + 3.21566i −0.317767 + 0.230871i
\(195\) 16.6345 + 12.0857i 1.19122 + 0.865474i
\(196\) 0.806443 + 2.48198i 0.0576031 + 0.177284i
\(197\) 18.2516 1.30037 0.650186 0.759775i \(-0.274691\pi\)
0.650186 + 0.759775i \(0.274691\pi\)
\(198\) 2.32944 4.06975i 0.165546 0.289224i
\(199\) 23.9705 1.69923 0.849613 0.527406i \(-0.176835\pi\)
0.849613 + 0.527406i \(0.176835\pi\)
\(200\) −0.325033 1.00035i −0.0229833 0.0707354i
\(201\) −23.9917 17.4310i −1.69224 1.22949i
\(202\) −4.69628 + 3.41205i −0.330429 + 0.240071i
\(203\) −6.23009 + 19.1743i −0.437267 + 1.34577i
\(204\) −1.39307 + 4.28744i −0.0975346 + 0.300181i
\(205\) −10.9169 + 7.93162i −0.762472 + 0.553968i
\(206\) −7.73664 5.62100i −0.539037 0.391633i
\(207\) −1.11822 3.44154i −0.0777219 0.239203i
\(208\) −3.97832 −0.275847
\(209\) 3.24670 + 0.677442i 0.224579 + 0.0468596i
\(210\) 16.0217 1.10560
\(211\) 6.41106 + 19.7312i 0.441356 + 1.35835i 0.886431 + 0.462860i \(0.153177\pi\)
−0.445076 + 0.895493i \(0.646823\pi\)
\(212\) 9.51477 + 6.91289i 0.653477 + 0.474779i
\(213\) 27.1431 19.7206i 1.85982 1.35124i
\(214\) 4.50124 13.8534i 0.307699 0.946999i
\(215\) 3.49289 10.7500i 0.238213 0.733145i
\(216\) −2.69592 + 1.95870i −0.183434 + 0.133273i
\(217\) 3.72763 + 2.70828i 0.253048 + 0.183850i
\(218\) 1.04472 + 3.21533i 0.0707577 + 0.217770i
\(219\) −6.67300 −0.450920
\(220\) 5.48208 + 6.04292i 0.369602 + 0.407414i
\(221\) 8.53654 0.574230
\(222\) 1.13562 + 3.49509i 0.0762181 + 0.234575i
\(223\) −22.9636 16.6840i −1.53775 1.11724i −0.951725 0.306953i \(-0.900691\pi\)
−0.586028 0.810290i \(-0.699309\pi\)
\(224\) −2.50791 + 1.82211i −0.167567 + 0.121745i
\(225\) 0.459553 1.41436i 0.0306369 0.0942906i
\(226\) −3.51254 + 10.8105i −0.233650 + 0.719102i
\(227\) 6.88177 4.99990i 0.456759 0.331855i −0.335499 0.942040i \(-0.608905\pi\)
0.792259 + 0.610185i \(0.208905\pi\)
\(228\) 1.69968 + 1.23489i 0.112564 + 0.0817826i
\(229\) −0.527586 1.62374i −0.0348638 0.107300i 0.932110 0.362175i \(-0.117966\pi\)
−0.966974 + 0.254875i \(0.917966\pi\)
\(230\) 6.29625 0.415162
\(231\) −19.6999 + 8.85931i −1.29616 + 0.582900i
\(232\) −6.50365 −0.426986
\(233\) 3.07667 + 9.46902i 0.201559 + 0.620336i 0.999837 + 0.0180465i \(0.00574470\pi\)
−0.798278 + 0.602289i \(0.794255\pi\)
\(234\) −4.55057 3.30618i −0.297480 0.216132i
\(235\) 6.77937 4.92550i 0.442237 0.321304i
\(236\) −2.05505 + 6.32479i −0.133772 + 0.411709i
\(237\) 4.71119 14.4996i 0.306025 0.941847i
\(238\) 5.38139 3.90981i 0.348824 0.253435i
\(239\) −13.1696 9.56830i −0.851873 0.618922i 0.0737888 0.997274i \(-0.476491\pi\)
−0.925662 + 0.378352i \(0.876491\pi\)
\(240\) 1.59711 + 4.91540i 0.103093 + 0.317288i
\(241\) −5.95144 −0.383366 −0.191683 0.981457i \(-0.561395\pi\)
−0.191683 + 0.981457i \(0.561395\pi\)
\(242\) −10.0821 4.39890i −0.648105 0.282772i
\(243\) −13.6227 −0.873899
\(244\) −1.95935 6.03026i −0.125435 0.386048i
\(245\) −5.19389 3.77358i −0.331825 0.241085i
\(246\) 9.32324 6.77373i 0.594428 0.431877i
\(247\) 1.22937 3.78361i 0.0782229 0.240745i
\(248\) −0.459307 + 1.41360i −0.0291660 + 0.0897638i
\(249\) −19.0645 + 13.8512i −1.20817 + 0.877784i
\(250\) −7.85772 5.70897i −0.496966 0.361067i
\(251\) −6.50772 20.0287i −0.410764 1.26420i −0.915986 0.401211i \(-0.868589\pi\)
0.505222 0.862989i \(-0.331411\pi\)
\(252\) −4.38291 −0.276098
\(253\) −7.74175 + 3.48156i −0.486719 + 0.218884i
\(254\) 13.3466 0.837441
\(255\) −3.42702 10.5473i −0.214609 0.660497i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −1.03343 + 0.750828i −0.0644633 + 0.0468353i −0.619550 0.784957i \(-0.712685\pi\)
0.555087 + 0.831792i \(0.312685\pi\)
\(258\) −2.98299 + 9.18068i −0.185713 + 0.571564i
\(259\) 1.67564 5.15708i 0.104119 0.320446i
\(260\) 7.91773 5.75257i 0.491037 0.356759i
\(261\) −7.43914 5.40485i −0.460471 0.334552i
\(262\) 1.41764 + 4.36304i 0.0875820 + 0.269550i
\(263\) 8.85896 0.546267 0.273134 0.961976i \(-0.411940\pi\)
0.273134 + 0.961976i \(0.411940\pi\)
\(264\) −4.68179 5.16075i −0.288144 0.317622i
\(265\) −28.9324 −1.77730
\(266\) −0.957938 2.94823i −0.0587349 0.180768i
\(267\) 7.88118 + 5.72601i 0.482320 + 0.350426i
\(268\) −11.4196 + 8.29684i −0.697564 + 0.506810i
\(269\) 8.04167 24.7497i 0.490309 1.50902i −0.333832 0.942633i \(-0.608342\pi\)
0.824141 0.566384i \(-0.191658\pi\)
\(270\) 2.53324 7.79650i 0.154168 0.474480i
\(271\) −13.8201 + 10.0409i −0.839514 + 0.609942i −0.922235 0.386630i \(-0.873639\pi\)
0.0827211 + 0.996573i \(0.473639\pi\)
\(272\) 1.73596 + 1.26125i 0.105258 + 0.0764744i
\(273\) 8.00658 + 24.6417i 0.484580 + 1.49138i
\(274\) 13.6371 0.823845
\(275\) −3.41498 0.712554i −0.205931 0.0429686i
\(276\) −5.37710 −0.323663
\(277\) 2.62481 + 8.07834i 0.157710 + 0.485380i 0.998425 0.0560965i \(-0.0178655\pi\)
−0.840716 + 0.541477i \(0.817865\pi\)
\(278\) −4.68407 3.40317i −0.280932 0.204109i
\(279\) −1.70015 + 1.23523i −0.101785 + 0.0739512i
\(280\) 2.35657 7.25278i 0.140832 0.433437i
\(281\) 9.09244 27.9837i 0.542410 1.66937i −0.184660 0.982802i \(-0.559119\pi\)
0.727070 0.686563i \(-0.240881\pi\)
\(282\) −5.78969 + 4.20646i −0.344771 + 0.250491i
\(283\) 13.8010 + 10.0270i 0.820382 + 0.596043i 0.916822 0.399296i \(-0.130745\pi\)
−0.0964396 + 0.995339i \(0.530745\pi\)
\(284\) −4.93486 15.1879i −0.292830 0.901239i
\(285\) −5.16836 −0.306147
\(286\) −6.55457 + 11.4514i −0.387580 + 0.677137i
\(287\) −17.0041 −1.00372
\(288\) −0.436908 1.34467i −0.0257451 0.0792351i
\(289\) 10.0283 + 7.28601i 0.589902 + 0.428589i
\(290\) 12.9437 9.40414i 0.760080 0.552230i
\(291\) −3.55176 + 10.9312i −0.208208 + 0.640798i
\(292\) −0.981508 + 3.02077i −0.0574384 + 0.176777i
\(293\) −16.5964 + 12.0580i −0.969569 + 0.704433i −0.955353 0.295466i \(-0.904525\pi\)
−0.0142160 + 0.999899i \(0.504525\pi\)
\(294\) 4.43566 + 3.22270i 0.258693 + 0.187952i
\(295\) −5.05552 15.5593i −0.294344 0.905897i
\(296\) 1.74921 0.101671
\(297\) 1.19631 + 10.9872i 0.0694171 + 0.637542i
\(298\) 10.3503 0.599575
\(299\) 3.14645 + 9.68377i 0.181964 + 0.560027i
\(300\) −1.78777 1.29889i −0.103217 0.0749917i
\(301\) 11.5232 8.37207i 0.664184 0.482558i
\(302\) 3.76169 11.5773i 0.216461 0.666199i
\(303\) −3.76867 + 11.5988i −0.216504 + 0.666332i
\(304\) 0.809017 0.587785i 0.0464003 0.0337118i
\(305\) 12.6192 + 9.16836i 0.722571 + 0.524979i
\(306\) 0.937502 + 2.88533i 0.0535934 + 0.164944i
\(307\) 5.64603 0.322236 0.161118 0.986935i \(-0.448490\pi\)
0.161118 + 0.986935i \(0.448490\pi\)
\(308\) 1.11288 + 10.2210i 0.0634125 + 0.582394i
\(309\) −20.0911 −1.14294
\(310\) −1.12992 3.47753i −0.0641749 0.197510i
\(311\) −6.80879 4.94688i −0.386091 0.280512i 0.377761 0.925903i \(-0.376694\pi\)
−0.763852 + 0.645392i \(0.776694\pi\)
\(312\) −6.76187 + 4.91279i −0.382816 + 0.278132i
\(313\) 9.69591 29.8409i 0.548045 1.68671i −0.165593 0.986194i \(-0.552954\pi\)
0.713638 0.700515i \(-0.247046\pi\)
\(314\) −1.15074 + 3.54163i −0.0649403 + 0.199866i
\(315\) 8.72296 6.33760i 0.491483 0.357083i
\(316\) −5.87079 4.26538i −0.330258 0.239946i
\(317\) 2.22582 + 6.85036i 0.125014 + 0.384755i 0.993904 0.110252i \(-0.0351657\pi\)
−0.868889 + 0.495006i \(0.835166\pi\)
\(318\) 24.7087 1.38560
\(319\) −10.7152 + 18.7205i −0.599938 + 1.04815i
\(320\) 2.46005 0.137521
\(321\) −9.45675 29.1049i −0.527824 1.62448i
\(322\) 6.41876 + 4.66350i 0.357703 + 0.259887i
\(323\) −1.73596 + 1.26125i −0.0965914 + 0.0701777i
\(324\) −3.47415 + 10.6923i −0.193008 + 0.594018i
\(325\) −1.29309 + 3.97971i −0.0717276 + 0.220755i
\(326\) −16.0930 + 11.6922i −0.891308 + 0.647573i
\(327\) 5.74628 + 4.17492i 0.317770 + 0.230873i
\(328\) −1.69505 5.21682i −0.0935934 0.288051i
\(329\) 10.5595 0.582164
\(330\) 16.7801 + 3.50126i 0.923716 + 0.192738i
\(331\) 20.4083 1.12174 0.560870 0.827904i \(-0.310467\pi\)
0.560870 + 0.827904i \(0.310467\pi\)
\(332\) 3.46611 + 10.6676i 0.190227 + 0.585459i
\(333\) 2.00082 + 1.45368i 0.109644 + 0.0796612i
\(334\) −17.7876 + 12.9234i −0.973294 + 0.707139i
\(335\) 10.7305 33.0250i 0.586269 1.80435i
\(336\) −2.01255 + 6.19400i −0.109794 + 0.337910i
\(337\) 25.9791 18.8749i 1.41517 1.02818i 0.422625 0.906305i \(-0.361109\pi\)
0.992545 0.121877i \(-0.0388912\pi\)
\(338\) 2.28713 + 1.66170i 0.124403 + 0.0903843i
\(339\) 7.37956 + 22.7119i 0.400803 + 1.23354i
\(340\) −5.27868 −0.286277
\(341\) 3.31225 + 3.65110i 0.179368 + 0.197718i
\(342\) 1.41386 0.0764530
\(343\) 4.20563 + 12.9436i 0.227083 + 0.698889i
\(344\) 3.71721 + 2.70071i 0.200418 + 0.145613i
\(345\) 10.7016 7.77517i 0.576155 0.418601i
\(346\) 7.87433 24.2347i 0.423326 1.30286i
\(347\) 0.349090 1.07439i 0.0187401 0.0576762i −0.941249 0.337713i \(-0.890347\pi\)
0.959989 + 0.280037i \(0.0903467\pi\)
\(348\) −11.0541 + 8.03129i −0.592563 + 0.430522i
\(349\) 17.1155 + 12.4351i 0.916171 + 0.665637i 0.942568 0.334015i \(-0.108403\pi\)
−0.0263972 + 0.999652i \(0.508403\pi\)
\(350\) 1.00759 + 3.10104i 0.0538579 + 0.165757i
\(351\) 13.2571 0.707614
\(352\) −3.02483 + 1.36030i −0.161224 + 0.0725043i
\(353\) −0.0272714 −0.00145151 −0.000725755 1.00000i \(-0.500231\pi\)
−0.000725755 1.00000i \(0.500231\pi\)
\(354\) 4.31749 + 13.2879i 0.229472 + 0.706243i
\(355\) 31.7829 + 23.0916i 1.68686 + 1.22558i
\(356\) 3.75130 2.72548i 0.198818 0.144450i
\(357\) 4.31846 13.2908i 0.228557 0.703426i
\(358\) −7.04201 + 21.6731i −0.372182 + 1.14546i
\(359\) −12.2286 + 8.88459i −0.645400 + 0.468911i −0.861701 0.507416i \(-0.830601\pi\)
0.216301 + 0.976327i \(0.430601\pi\)
\(360\) 2.81390 + 2.04442i 0.148306 + 0.107750i
\(361\) 0.309017 + 0.951057i 0.0162641 + 0.0500556i
\(362\) 1.54547 0.0812279
\(363\) −22.5686 + 4.97361i −1.18454 + 0.261047i
\(364\) 12.3326 0.646404
\(365\) −2.41456 7.43124i −0.126384 0.388969i
\(366\) −10.7770 7.82993i −0.563322 0.409277i
\(367\) −17.3707 + 12.6206i −0.906744 + 0.658788i −0.940189 0.340652i \(-0.889352\pi\)
0.0334451 + 0.999441i \(0.489352\pi\)
\(368\) −0.790899 + 2.43414i −0.0412284 + 0.126888i
\(369\) 2.39657 7.37588i 0.124760 0.383973i
\(370\) −3.48132 + 2.52933i −0.180985 + 0.131493i
\(371\) −29.4953 21.4296i −1.53132 1.11257i
\(372\) 0.964967 + 2.96986i 0.0500312 + 0.153980i
\(373\) −18.3417 −0.949697 −0.474848 0.880068i \(-0.657497\pi\)
−0.474848 + 0.880068i \(0.657497\pi\)
\(374\) 6.49056 2.91889i 0.335619 0.150932i
\(375\) −20.4056 −1.05374
\(376\) 1.05262 + 3.23963i 0.0542846 + 0.167071i
\(377\) 20.9322 + 15.2081i 1.07806 + 0.783258i
\(378\) 8.35723 6.07188i 0.429850 0.312304i
\(379\) 3.80809 11.7201i 0.195609 0.602021i −0.804360 0.594142i \(-0.797492\pi\)
0.999969 0.00787967i \(-0.00250820\pi\)
\(380\) −0.760196 + 2.33964i −0.0389972 + 0.120021i
\(381\) 22.6850 16.4816i 1.16219 0.844378i
\(382\) 5.77965 + 4.19916i 0.295713 + 0.214848i
\(383\) 8.88446 + 27.3436i 0.453975 + 1.39719i 0.872335 + 0.488909i \(0.162605\pi\)
−0.418360 + 0.908281i \(0.637395\pi\)
\(384\) −2.10092 −0.107212
\(385\) −16.9942 18.7328i −0.866104 0.954710i
\(386\) 12.0980 0.615772
\(387\) 2.00747 + 6.17836i 0.102046 + 0.314064i
\(388\) 4.42598 + 3.21566i 0.224695 + 0.163251i
\(389\) −2.20852 + 1.60458i −0.111976 + 0.0813556i −0.642364 0.766400i \(-0.722046\pi\)
0.530388 + 0.847755i \(0.322046\pi\)
\(390\) 6.35382 19.5551i 0.321738 0.990209i
\(391\) 1.69708 5.22308i 0.0858251 0.264142i
\(392\) 2.11130 1.53395i 0.106637 0.0774760i
\(393\) 7.79741 + 5.66515i 0.393327 + 0.285769i
\(394\) −5.64005 17.3583i −0.284142 0.874498i
\(395\) 17.8518 0.898222
\(396\) −4.59040 0.957811i −0.230676 0.0481318i
\(397\) 7.21330 0.362025 0.181013 0.983481i \(-0.442062\pi\)
0.181013 + 0.983481i \(0.442062\pi\)
\(398\) −7.40730 22.7973i −0.371295 1.14273i
\(399\) −5.26893 3.82810i −0.263776 0.191645i
\(400\) −0.850949 + 0.618250i −0.0425474 + 0.0309125i
\(401\) −0.367672 + 1.13158i −0.0183607 + 0.0565083i −0.959817 0.280626i \(-0.909458\pi\)
0.941456 + 0.337135i \(0.109458\pi\)
\(402\) −9.16401 + 28.2039i −0.457059 + 1.40668i
\(403\) 4.78386 3.47568i 0.238301 0.173136i
\(404\) 4.69628 + 3.41205i 0.233649 + 0.169756i
\(405\) −8.54657 26.3036i −0.424682 1.30704i
\(406\) 20.1610 1.00057
\(407\) 2.88195 5.03503i 0.142853 0.249577i
\(408\) 4.50808 0.223183
\(409\) 3.63996 + 11.2026i 0.179984 + 0.553935i 0.999826 0.0186553i \(-0.00593851\pi\)
−0.819842 + 0.572591i \(0.805939\pi\)
\(410\) 10.9169 + 7.93162i 0.539149 + 0.391715i
\(411\) 23.1786 16.8403i 1.14332 0.830669i
\(412\) −2.95513 + 9.09496i −0.145589 + 0.448077i
\(413\) 6.37056 19.6066i 0.313475 0.964776i
\(414\) −2.92755 + 2.12699i −0.143881 + 0.104536i
\(415\) −22.3234 16.2189i −1.09581 0.796155i
\(416\) 1.22937 + 3.78361i 0.0602748 + 0.185507i
\(417\) −12.1640 −0.595672
\(418\) −0.359001 3.29714i −0.0175593 0.161268i
\(419\) 20.0798 0.980963 0.490482 0.871452i \(-0.336821\pi\)
0.490482 + 0.871452i \(0.336821\pi\)
\(420\) −4.95097 15.2375i −0.241583 0.743515i
\(421\) −0.716128 0.520297i −0.0349019 0.0253577i 0.570198 0.821508i \(-0.306867\pi\)
−0.605099 + 0.796150i \(0.706867\pi\)
\(422\) 16.7844 12.1946i 0.817051 0.593622i
\(423\) −1.48826 + 4.58039i −0.0723616 + 0.222706i
\(424\) 3.63432 11.1853i 0.176498 0.543206i
\(425\) 1.82593 1.32662i 0.0885708 0.0643505i
\(426\) −27.1431 19.7206i −1.31509 0.955468i
\(427\) 6.07389 + 18.6935i 0.293936 + 0.904643i
\(428\) −14.5663 −0.704090
\(429\) 3.00058 + 27.5579i 0.144869 + 1.33051i
\(430\) −11.3032 −0.545090
\(431\) −6.27447 19.3108i −0.302230 0.930169i −0.980696 0.195538i \(-0.937355\pi\)
0.678466 0.734632i \(-0.262645\pi\)
\(432\) 2.69592 + 1.95870i 0.129708 + 0.0942381i
\(433\) 29.2632 21.2609i 1.40630 1.02174i 0.412451 0.910980i \(-0.364673\pi\)
0.993848 0.110756i \(-0.0353271\pi\)
\(434\) 1.42383 4.38210i 0.0683460 0.210347i
\(435\) 10.3871 31.9681i 0.498021 1.53275i
\(436\) 2.73512 1.98718i 0.130989 0.0951689i
\(437\) −2.07060 1.50438i −0.0990502 0.0719642i
\(438\) 2.06207 + 6.34640i 0.0985295 + 0.303243i
\(439\) 21.4914 1.02573 0.512864 0.858470i \(-0.328584\pi\)
0.512864 + 0.858470i \(0.328584\pi\)
\(440\) 4.05310 7.08114i 0.193224 0.337580i
\(441\) 3.68977 0.175703
\(442\) −2.63794 8.11873i −0.125474 0.386169i
\(443\) 19.9014 + 14.4592i 0.945546 + 0.686979i 0.949749 0.313012i \(-0.101338\pi\)
−0.00420349 + 0.999991i \(0.501338\pi\)
\(444\) 2.97310 2.16009i 0.141097 0.102513i
\(445\) −3.52492 + 10.8486i −0.167097 + 0.514273i
\(446\) −8.77130 + 26.9953i −0.415333 + 1.27826i
\(447\) 17.5921 12.7814i 0.832079 0.604541i
\(448\) 2.50791 + 1.82211i 0.118488 + 0.0860864i
\(449\) 10.8991 + 33.5439i 0.514359 + 1.58303i 0.784445 + 0.620198i \(0.212948\pi\)
−0.270086 + 0.962836i \(0.587052\pi\)
\(450\) −1.48715 −0.0701047
\(451\) −17.8091 3.71597i −0.838598 0.174978i
\(452\) 11.3668 0.534650
\(453\) −7.90302 24.3230i −0.371316 1.14279i
\(454\) −6.88177 4.99990i −0.322977 0.234657i
\(455\) −24.5446 + 17.8327i −1.15067 + 0.836010i
\(456\) 0.649220 1.99809i 0.0304025 0.0935693i
\(457\) −2.27762 + 7.00981i −0.106543 + 0.327905i −0.990089 0.140438i \(-0.955149\pi\)
0.883547 + 0.468343i \(0.155149\pi\)
\(458\) −1.38124 + 1.00353i −0.0645410 + 0.0468918i
\(459\) −5.78481 4.20291i −0.270012 0.196175i
\(460\) −1.94565 5.98809i −0.0907163 0.279196i
\(461\) −36.4875 −1.69939 −0.849696 0.527272i \(-0.823215\pi\)
−0.849696 + 0.527272i \(0.823215\pi\)
\(462\) 14.5133 + 15.9981i 0.675221 + 0.744298i
\(463\) −16.2208 −0.753844 −0.376922 0.926245i \(-0.623018\pi\)
−0.376922 + 0.926245i \(0.623018\pi\)
\(464\) 2.00974 + 6.18534i 0.0932998 + 0.287147i
\(465\) −6.21486 4.51536i −0.288207 0.209395i
\(466\) 8.05483 5.85218i 0.373133 0.271097i
\(467\) 1.32060 4.06438i 0.0611099 0.188077i −0.915841 0.401541i \(-0.868475\pi\)
0.976951 + 0.213464i \(0.0684747\pi\)
\(468\) −1.73816 + 5.34951i −0.0803465 + 0.247281i
\(469\) 35.4003 25.7198i 1.63463 1.18763i
\(470\) −6.77937 4.92550i −0.312709 0.227196i
\(471\) 2.41762 + 7.44068i 0.111398 + 0.342848i
\(472\) 6.65028 0.306104
\(473\) 13.8982 6.25021i 0.639042 0.287385i
\(474\) −15.2457 −0.700260
\(475\) −0.325033 1.00035i −0.0149136 0.0458992i
\(476\) −5.38139 3.90981i −0.246656 0.179206i
\(477\) 13.4526 9.77389i 0.615952 0.447515i
\(478\) −5.03035 + 15.4818i −0.230083 + 0.708123i
\(479\) −12.1115 + 37.2754i −0.553389 + 1.70315i 0.146773 + 0.989170i \(0.453111\pi\)
−0.700161 + 0.713985i \(0.746889\pi\)
\(480\) 4.18129 3.03789i 0.190849 0.138660i
\(481\) −5.62990 4.09036i −0.256701 0.186504i
\(482\) 1.83910 + 5.66016i 0.0837686 + 0.257813i
\(483\) 16.6687 0.758454
\(484\) −1.06805 + 10.9480i −0.0485478 + 0.497638i
\(485\) −13.4585 −0.611117
\(486\) 4.20966 + 12.9560i 0.190954 + 0.587696i
\(487\) −2.64903 1.92463i −0.120039 0.0872134i 0.526146 0.850394i \(-0.323637\pi\)
−0.646185 + 0.763181i \(0.723637\pi\)
\(488\) −5.12965 + 3.72691i −0.232208 + 0.168709i
\(489\) −12.9143 + 39.7461i −0.584005 + 1.79738i
\(490\) −1.98389 + 6.10578i −0.0896229 + 0.275831i
\(491\) −32.8868 + 23.8936i −1.48416 + 1.07830i −0.507971 + 0.861374i \(0.669604\pi\)
−0.976187 + 0.216930i \(0.930396\pi\)
\(492\) −9.32324 6.77373i −0.420324 0.305383i
\(493\) −4.31242 13.2723i −0.194222 0.597753i
\(494\) −3.97832 −0.178993
\(495\) 10.5209 4.73136i 0.472878 0.212659i
\(496\) 1.48635 0.0667390
\(497\) 15.2978 + 47.0819i 0.686202 + 2.11191i
\(498\) 19.0645 + 13.8512i 0.854303 + 0.620687i
\(499\) 11.4431 8.31393i 0.512266 0.372183i −0.301417 0.953492i \(-0.597460\pi\)
0.813682 + 0.581310i \(0.197460\pi\)
\(500\) −3.00138 + 9.23731i −0.134226 + 0.413105i
\(501\) −14.2742 + 43.9314i −0.637724 + 1.96271i
\(502\) −17.0374 + 12.3784i −0.760418 + 0.552476i
\(503\) 22.4423 + 16.3053i 1.00065 + 0.727017i 0.962228 0.272244i \(-0.0877658\pi\)
0.0384254 + 0.999261i \(0.487766\pi\)
\(504\) 1.35439 + 4.16840i 0.0603295 + 0.185675i
\(505\) −14.2804 −0.635468
\(506\) 5.70349 + 6.28698i 0.253551 + 0.279490i
\(507\) 5.93940 0.263778
\(508\) −4.12433 12.6934i −0.182988 0.563178i
\(509\) −3.93843 2.86144i −0.174568 0.126831i 0.497070 0.867710i \(-0.334409\pi\)
−0.671638 + 0.740879i \(0.734409\pi\)
\(510\) −8.97206 + 6.51859i −0.397290 + 0.288648i
\(511\) 3.04263 9.36425i 0.134598 0.414250i
\(512\) −0.309017 + 0.951057i −0.0136568 + 0.0420312i
\(513\) −2.69592 + 1.95870i −0.119028 + 0.0864788i
\(514\) 1.03343 + 0.750828i 0.0455825 + 0.0331176i
\(515\) −7.26976 22.3740i −0.320344 0.985918i
\(516\) 9.65314 0.424956
\(517\) 11.0594 + 2.30760i 0.486391 + 0.101488i
\(518\) −5.42248 −0.238250
\(519\) −16.5433 50.9151i −0.726171 2.23493i
\(520\) −7.91773 5.75257i −0.347216 0.252267i
\(521\) −15.0920 + 10.9650i −0.661195 + 0.480386i −0.867066 0.498193i \(-0.833997\pi\)
0.205872 + 0.978579i \(0.433997\pi\)
\(522\) −2.84150 + 8.74523i −0.124369 + 0.382768i
\(523\) −2.59339 + 7.98164i −0.113401 + 0.349013i −0.991610 0.129264i \(-0.958738\pi\)
0.878209 + 0.478277i \(0.158738\pi\)
\(524\) 3.71142 2.69651i 0.162134 0.117798i
\(525\) 5.54202 + 4.02651i 0.241873 + 0.175731i
\(526\) −2.73757 8.42537i −0.119364 0.367364i
\(527\) −3.18935 −0.138930
\(528\) −3.46142 + 6.04741i −0.150639 + 0.263180i
\(529\) −16.4495 −0.715194
\(530\) 8.94060 + 27.5163i 0.388355 + 1.19523i
\(531\) 7.60686 + 5.52671i 0.330110 + 0.239839i
\(532\) −2.50791 + 1.82211i −0.108732 + 0.0789983i
\(533\) −6.74345 + 20.7542i −0.292091 + 0.898964i
\(534\) 3.01034 9.26488i 0.130270 0.400931i
\(535\) 28.9902 21.0626i 1.25336 0.910616i
\(536\) 11.4196 + 8.29684i 0.493252 + 0.358369i
\(537\) 14.7947 + 45.5334i 0.638438 + 1.96491i
\(538\) −26.0234 −1.12195
\(539\) −0.936886 8.60456i −0.0403545 0.370625i
\(540\) −8.19772 −0.352774
\(541\) −9.89470 30.4528i −0.425407 1.30927i −0.902604 0.430471i \(-0.858347\pi\)
0.477198 0.878796i \(-0.341653\pi\)
\(542\) 13.8201 + 10.0409i 0.593626 + 0.431294i
\(543\) 2.62680 1.90848i 0.112727 0.0819007i
\(544\) 0.663077 2.04074i 0.0284292 0.0874961i
\(545\) −2.57007 + 7.90987i −0.110090 + 0.338821i
\(546\) 20.9615 15.2294i 0.897069 0.651759i
\(547\) −20.8060 15.1164i −0.889599 0.646332i 0.0461743 0.998933i \(-0.485297\pi\)
−0.935773 + 0.352602i \(0.885297\pi\)
\(548\) −4.21408 12.9696i −0.180017 0.554034i
\(549\) −8.96474 −0.382606
\(550\) 0.377608 + 3.46803i 0.0161012 + 0.147877i
\(551\) −6.50365 −0.277065
\(552\) 1.66161 + 5.11392i 0.0707230 + 0.217663i
\(553\) 18.1992 + 13.2225i 0.773907 + 0.562277i
\(554\) 6.87184 4.99269i 0.291957 0.212119i
\(555\) −2.79369 + 8.59809i −0.118585 + 0.364969i
\(556\) −1.78915 + 5.50645i −0.0758770 + 0.233525i
\(557\) −30.1853 + 21.9309i −1.27899 + 0.929243i −0.999522 0.0309112i \(-0.990159\pi\)
−0.279471 + 0.960154i \(0.590159\pi\)
\(558\) 1.70015 + 1.23523i 0.0719729 + 0.0522914i
\(559\) −5.64861 17.3846i −0.238911 0.735292i
\(560\) −7.62603 −0.322259
\(561\) 7.42738 12.9763i 0.313584 0.547860i
\(562\) −29.4238 −1.24117
\(563\) 0.234541 + 0.721842i 0.00988472 + 0.0304220i 0.955877 0.293766i \(-0.0949088\pi\)
−0.945993 + 0.324188i \(0.894909\pi\)
\(564\) 5.78969 + 4.20646i 0.243790 + 0.177124i
\(565\) −22.6224 + 16.4362i −0.951733 + 0.691475i
\(566\) 5.27150 16.2240i 0.221578 0.681946i
\(567\) 10.7697 33.1457i 0.452285 1.39199i
\(568\) −12.9196 + 9.38667i −0.542096 + 0.393856i
\(569\) 25.2807 + 18.3675i 1.05982 + 0.770007i 0.974056 0.226309i \(-0.0726658\pi\)
0.0857675 + 0.996315i \(0.472666\pi\)
\(570\) 1.59711 + 4.91540i 0.0668956 + 0.205884i
\(571\) −20.5848 −0.861445 −0.430723 0.902484i \(-0.641741\pi\)
−0.430723 + 0.902484i \(0.641741\pi\)
\(572\) 12.9164 + 2.69508i 0.540063 + 0.112687i
\(573\) 15.0091 0.627012
\(574\) 5.25457 + 16.1719i 0.219321 + 0.675002i
\(575\) 2.17792 + 1.58235i 0.0908255 + 0.0659886i
\(576\) −1.14384 + 0.831049i −0.0476600 + 0.0346270i
\(577\) 3.86681 11.9008i 0.160977 0.495437i −0.837740 0.546069i \(-0.816124\pi\)
0.998717 + 0.0506319i \(0.0161235\pi\)
\(578\) 3.83048 11.7890i 0.159327 0.490358i
\(579\) 20.5627 14.9397i 0.854558 0.620873i
\(580\) −12.9437 9.40414i −0.537458 0.390486i
\(581\) −10.7448 33.0690i −0.445768 1.37193i
\(582\) 11.4937 0.476431
\(583\) −26.2086 28.8898i −1.08545 1.19649i
\(584\) 3.17623 0.131433
\(585\) −4.27596 13.1600i −0.176789 0.544101i
\(586\) 16.5964 + 12.0580i 0.685589 + 0.498110i
\(587\) −9.72555 + 7.06602i −0.401416 + 0.291646i −0.770118 0.637902i \(-0.779803\pi\)
0.368701 + 0.929548i \(0.379803\pi\)
\(588\) 1.69427 5.21444i 0.0698706 0.215040i
\(589\) −0.459307 + 1.41360i −0.0189254 + 0.0582464i
\(590\) −13.2355 + 9.61617i −0.544898 + 0.395891i
\(591\) −31.0219 22.5387i −1.27607 0.927118i
\(592\) −0.540537 1.66360i −0.0222159 0.0683736i
\(593\) −33.2839 −1.36680 −0.683402 0.730042i \(-0.739500\pi\)
−0.683402 + 0.730042i \(0.739500\pi\)
\(594\) 10.0798 4.53299i 0.413578 0.185991i
\(595\) 16.3637 0.670844
\(596\) −3.19841 9.84368i −0.131012 0.403213i
\(597\) −40.7422 29.6010i −1.66747 1.21149i
\(598\) 8.23751 5.98490i 0.336857 0.244741i
\(599\) −4.59137 + 14.1308i −0.187598 + 0.577368i −0.999983 0.00575289i \(-0.998169\pi\)
0.812385 + 0.583121i \(0.198169\pi\)
\(600\) −0.682869 + 2.10166i −0.0278780 + 0.0857997i
\(601\) −25.0415 + 18.1937i −1.02147 + 0.742138i −0.966583 0.256354i \(-0.917479\pi\)
−0.0548831 + 0.998493i \(0.517479\pi\)
\(602\) −11.5232 8.37207i −0.469649 0.341220i
\(603\) 6.16714 + 18.9805i 0.251145 + 0.772946i
\(604\) −12.1731 −0.495316
\(605\) −13.7050 23.3334i −0.557186 0.948636i
\(606\) 12.1957 0.495415
\(607\) 9.09384 + 27.9880i 0.369108 + 1.13600i 0.947369 + 0.320145i \(0.103732\pi\)
−0.578261 + 0.815852i \(0.696268\pi\)
\(608\) −0.809017 0.587785i −0.0328100 0.0238378i
\(609\) 34.2673 24.8966i 1.38858 1.00886i
\(610\) 4.82009 14.8347i 0.195160 0.600640i
\(611\) 4.18765 12.8883i 0.169414 0.521404i
\(612\) 2.45441 1.78323i 0.0992137 0.0720830i
\(613\) −17.4575 12.6836i −0.705102 0.512287i 0.176488 0.984303i \(-0.443526\pi\)
−0.881590 + 0.472016i \(0.843526\pi\)
\(614\) −1.74472 5.36969i −0.0704111 0.216703i
\(615\) 28.3500 1.14318
\(616\) 9.37682 4.21687i 0.377803 0.169903i
\(617\) −21.8270 −0.878721 −0.439360 0.898311i \(-0.644795\pi\)
−0.439360 + 0.898311i \(0.644795\pi\)
\(618\) 6.20850 + 19.1078i 0.249742 + 0.768628i
\(619\) −33.6049 24.4154i −1.35069 0.981336i −0.998977 0.0452299i \(-0.985598\pi\)
−0.351717 0.936106i \(-0.614402\pi\)
\(620\) −2.95816 + 2.14923i −0.118803 + 0.0863151i
\(621\) 2.63555 8.11138i 0.105761 0.325498i
\(622\) −2.60073 + 8.00422i −0.104280 + 0.320940i
\(623\) −11.6288 + 8.44885i −0.465900 + 0.338496i
\(624\) 6.76187 + 4.91279i 0.270692 + 0.196669i
\(625\) −9.00871 27.7260i −0.360348 1.10904i
\(626\) −31.3766 −1.25406
\(627\) −4.68179 5.16075i −0.186973 0.206101i
\(628\) 3.72389 0.148599
\(629\) 1.15986 + 3.56969i 0.0462468 + 0.142333i
\(630\) −8.72296 6.33760i −0.347531 0.252496i
\(631\) −1.13636 + 0.825616i −0.0452379 + 0.0328672i −0.610174 0.792267i \(-0.708901\pi\)
0.564937 + 0.825134i \(0.308901\pi\)
\(632\) −2.24244 + 6.90153i −0.0891996 + 0.274528i
\(633\) 13.4691 41.4537i 0.535350 1.64764i
\(634\) 5.82726 4.23375i 0.231430 0.168144i
\(635\) 26.5627 + 19.2989i 1.05411 + 0.765855i
\(636\) −7.63541 23.4994i −0.302764 0.931811i
\(637\) −10.3822 −0.411360
\(638\) 21.1154 + 4.40584i 0.835967 + 0.174429i
\(639\) −22.5788 −0.893203
\(640\) −0.760196 2.33964i −0.0300494 0.0924825i
\(641\) 10.2584 + 7.45315i 0.405182 + 0.294382i 0.771648 0.636049i \(-0.219433\pi\)
−0.366467 + 0.930431i \(0.619433\pi\)
\(642\) −24.7581 + 17.9878i −0.977124 + 0.709922i
\(643\) 1.36681 4.20660i 0.0539017 0.165892i −0.920482 0.390786i \(-0.872203\pi\)
0.974383 + 0.224893i \(0.0722034\pi\)
\(644\) 2.45175 7.54570i 0.0966124 0.297342i
\(645\) −19.2119 + 13.9582i −0.756467 + 0.549605i
\(646\) 1.73596 + 1.26125i 0.0683004 + 0.0496231i
\(647\) −7.59875 23.3866i −0.298738 0.919421i −0.981940 0.189191i \(-0.939413\pi\)
0.683202 0.730229i \(-0.260587\pi\)
\(648\) 11.2426 0.441650
\(649\) 10.9568 19.1425i 0.430092 0.751410i
\(650\) 4.18452 0.164130
\(651\) −2.99135 9.20643i −0.117240 0.360829i
\(652\) 16.0930 + 11.6922i 0.630250 + 0.457903i
\(653\) −15.8056 + 11.4834i −0.618521 + 0.449381i −0.852404 0.522883i \(-0.824856\pi\)
0.233884 + 0.972265i \(0.424856\pi\)
\(654\) 2.19488 6.75516i 0.0858267 0.264147i
\(655\) −3.48746 + 10.7333i −0.136266 + 0.419384i
\(656\) −4.43769 + 3.22417i −0.173263 + 0.125883i
\(657\) 3.63310 + 2.63960i 0.141741 + 0.102981i
\(658\) −3.26307 10.0427i −0.127208 0.391505i
\(659\) 35.3980 1.37891 0.689456 0.724328i \(-0.257850\pi\)
0.689456 + 0.724328i \(0.257850\pi\)
\(660\) −1.85544 17.0408i −0.0722231 0.663312i
\(661\) −26.3898 −1.02644 −0.513222 0.858256i \(-0.671548\pi\)
−0.513222 + 0.858256i \(0.671548\pi\)
\(662\) −6.30650 19.4094i −0.245109 0.754368i
\(663\) −14.5094 10.5417i −0.563498 0.409405i
\(664\) 9.07438 6.59292i 0.352154 0.255855i
\(665\) 2.35657 7.25278i 0.0913840 0.281251i
\(666\) 0.764246 2.35211i 0.0296139 0.0911423i
\(667\) 13.4665 9.78395i 0.521423 0.378836i
\(668\) 17.7876 + 12.9234i 0.688223 + 0.500023i
\(669\) 18.4278 + 56.7149i 0.712460 + 2.19273i
\(670\) −34.7246 −1.34153
\(671\) 2.27628 + 20.9058i 0.0878747 + 0.807060i
\(672\) 6.51275 0.251235
\(673\) −1.24471 3.83081i −0.0479799 0.147667i 0.924196 0.381918i \(-0.124736\pi\)
−0.972176 + 0.234251i \(0.924736\pi\)
\(674\) −25.9791 18.8749i −1.00068 0.727034i
\(675\) 2.83565 2.06022i 0.109144 0.0792980i
\(676\) 0.873605 2.68868i 0.0336002 0.103411i
\(677\) 6.67689 20.5493i 0.256614 0.789776i −0.736894 0.676009i \(-0.763708\pi\)
0.993507 0.113767i \(-0.0362918\pi\)
\(678\) 19.3199 14.0368i 0.741977 0.539078i
\(679\) −13.7203 9.96840i −0.526538 0.382552i
\(680\) 1.63120 + 5.02032i 0.0625537 + 0.192521i
\(681\) −17.8711 −0.684823
\(682\) 2.44887 4.27839i 0.0937719 0.163828i
\(683\) 3.73163 0.142787 0.0713935 0.997448i \(-0.477255\pi\)
0.0713935 + 0.997448i \(0.477255\pi\)
\(684\) −0.436908 1.34467i −0.0167056 0.0514146i
\(685\) 27.1407 + 19.7189i 1.03699 + 0.753420i
\(686\) 11.0105 7.99958i 0.420382 0.305426i
\(687\) −1.10842 + 3.41135i −0.0422887 + 0.130151i
\(688\) 1.41985 4.36984i 0.0541312 0.166599i
\(689\) −37.8528 + 27.5017i −1.44208 + 1.04773i
\(690\) −10.7016 7.77517i −0.407403 0.295996i
\(691\) 13.1069 + 40.3388i 0.498608 + 1.53456i 0.811257 + 0.584690i \(0.198784\pi\)
−0.312648 + 0.949869i \(0.601216\pi\)
\(692\) −25.4819 −0.968675
\(693\) 14.2300 + 2.96917i 0.540553 + 0.112789i
\(694\) −1.12968 −0.0428820
\(695\) −4.40140 13.5461i −0.166955 0.513834i
\(696\) 11.0541 + 8.03129i 0.419005 + 0.304425i
\(697\) 9.52224 6.91831i 0.360681 0.262050i
\(698\) 6.53753 20.1205i 0.247449 0.761570i
\(699\) 6.46384 19.8936i 0.244485 0.752447i
\(700\) 2.63790 1.91655i 0.0997033 0.0724387i
\(701\) 41.9946 + 30.5108i 1.58611 + 1.15238i 0.909235 + 0.416284i \(0.136668\pi\)
0.676879 + 0.736095i \(0.263332\pi\)
\(702\) −4.09668 12.6083i −0.154619 0.475869i
\(703\) 1.74921 0.0659728
\(704\) 2.22845 + 2.45643i 0.0839877 + 0.0925800i
\(705\) −17.6052 −0.663051
\(706\) 0.00842732 + 0.0259366i 0.000317166 + 0.000976138i
\(707\) −14.5582 10.5772i −0.547519 0.397796i
\(708\) 11.3033 8.21236i 0.424806 0.308639i
\(709\) −13.0146 + 40.0548i −0.488773 + 1.50429i 0.337668 + 0.941265i \(0.390362\pi\)
−0.826441 + 0.563024i \(0.809638\pi\)
\(710\) 12.1400 37.3631i 0.455606 1.40221i
\(711\) −8.30050 + 6.03067i −0.311293 + 0.226168i
\(712\) −3.75130 2.72548i −0.140586 0.102142i
\(713\) −1.17555 3.61797i −0.0440247 0.135494i
\(714\) −13.9748 −0.522995
\(715\) −29.6036 + 13.3131i −1.10711 + 0.497881i
\(716\) 22.7884 0.851643
\(717\) 10.5684 + 32.5261i 0.394683 + 1.21471i
\(718\) 12.2286 + 8.88459i 0.456367 + 0.331570i
\(719\) 5.15475 3.74514i 0.192240 0.139670i −0.487502 0.873122i \(-0.662092\pi\)
0.679742 + 0.733452i \(0.262092\pi\)
\(720\) 1.07481 3.30794i 0.0400560 0.123280i
\(721\) 9.16077 28.1939i 0.341165 1.05000i
\(722\) 0.809017 0.587785i 0.0301085 0.0218751i
\(723\) 10.1155 + 7.34938i 0.376201 + 0.273326i
\(724\) −0.477575 1.46983i −0.0177489 0.0546256i
\(725\) 6.84074 0.254059
\(726\) 11.7043 + 19.9271i 0.434386 + 0.739563i
\(727\) −36.8358 −1.36616 −0.683082 0.730342i \(-0.739361\pi\)
−0.683082 + 0.730342i \(0.739361\pi\)
\(728\) −3.81099 11.7290i −0.141245 0.434706i
\(729\) −4.13203 3.00210i −0.153038 0.111189i
\(730\) −6.32139 + 4.59276i −0.233965 + 0.169986i
\(731\) −3.04666 + 9.37664i −0.112685 + 0.346808i
\(732\) −4.11644 + 12.6691i −0.152148 + 0.468263i
\(733\) 5.85493 4.25386i 0.216257 0.157120i −0.474383 0.880318i \(-0.657329\pi\)
0.690640 + 0.723199i \(0.257329\pi\)
\(734\) 17.3707 + 12.6206i 0.641165 + 0.465834i
\(735\) 4.16799 + 12.8278i 0.153739 + 0.473159i
\(736\) 2.55940 0.0943408
\(737\) 42.6967 19.2012i 1.57275 0.707286i
\(738\) −7.75546 −0.285482
\(739\) 6.07208 + 18.6880i 0.223365 + 0.687448i 0.998453 + 0.0555945i \(0.0177054\pi\)
−0.775088 + 0.631853i \(0.782295\pi\)
\(740\) 3.48132 + 2.52933i 0.127976 + 0.0929799i
\(741\) −6.76187 + 4.91279i −0.248404 + 0.180476i
\(742\) −11.2662 + 34.6739i −0.413596 + 1.27292i
\(743\) 2.38663 7.34530i 0.0875571 0.269473i −0.897686 0.440637i \(-0.854753\pi\)
0.985243 + 0.171164i \(0.0547527\pi\)
\(744\) 2.52632 1.83548i 0.0926193 0.0672918i
\(745\) 20.5993 + 14.9663i 0.754700 + 0.548321i
\(746\) 5.66789 + 17.4440i 0.207516 + 0.638670i
\(747\) 15.8587 0.580239
\(748\) −4.78172 5.27091i −0.174837 0.192723i
\(749\) 45.1549 1.64992
\(750\) 6.30567 + 19.4068i 0.230250 + 0.708638i
\(751\) 36.7609 + 26.7084i 1.34142 + 0.974602i 0.999390 + 0.0349139i \(0.0111157\pi\)
0.342034 + 0.939688i \(0.388884\pi\)
\(752\) 2.75579 2.00220i 0.100493 0.0730127i
\(753\) −13.6722 + 42.0787i −0.498243 + 1.53343i
\(754\) 7.99539 24.6073i 0.291175 0.896144i
\(755\) 24.2271 17.6020i 0.881716 0.640604i
\(756\) −8.35723 6.07188i −0.303950 0.220832i
\(757\) −0.121953 0.375334i −0.00443247 0.0136417i 0.948816 0.315830i \(-0.102283\pi\)
−0.953248 + 0.302188i \(0.902283\pi\)
\(758\) −12.3232 −0.447601
\(759\) 17.4578 + 3.64267i 0.633679 + 0.132221i
\(760\) 2.46005 0.0892353
\(761\) 11.5882 + 35.6649i 0.420072 + 1.29285i 0.907634 + 0.419762i \(0.137886\pi\)
−0.487562 + 0.873088i \(0.662114\pi\)
\(762\) −22.6850 16.4816i −0.821790 0.597065i
\(763\) −8.47876 + 6.16018i −0.306952 + 0.223013i
\(764\) 2.20763 6.79439i 0.0798692 0.245812i
\(765\) −2.30630 + 7.09806i −0.0833844 + 0.256631i
\(766\) 23.2598 16.8992i 0.840411 0.610595i
\(767\) −21.4041 15.5510i −0.772858 0.561514i
\(768\) 0.649220 + 1.99809i 0.0234267 + 0.0721000i
\(769\) 0.388213 0.0139993 0.00699965 0.999976i \(-0.497772\pi\)
0.00699965 + 0.999976i \(0.497772\pi\)
\(770\) −12.5644 + 21.9512i −0.452791 + 0.791066i
\(771\) 2.68368 0.0966505
\(772\) −3.73849 11.5059i