Properties

Label 400.2.bm.a.227.10
Level $400$
Weight $2$
Character 400.227
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 227.10
Character \(\chi\) \(=\) 400.227
Dual form 400.2.bm.a.363.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23834 - 0.683012i) q^{2} +(-0.203896 - 0.0662497i) q^{3} +(1.06699 + 1.69161i) q^{4} +(-1.71212 + 1.43828i) q^{5} +(0.207243 + 0.221303i) q^{6} +(0.740084 + 0.740084i) q^{7} +(-0.165909 - 2.82356i) q^{8} +(-2.38987 - 1.73634i) q^{9} +O(q^{10})\) \(q+(-1.23834 - 0.683012i) q^{2} +(-0.203896 - 0.0662497i) q^{3} +(1.06699 + 1.69161i) q^{4} +(-1.71212 + 1.43828i) q^{5} +(0.207243 + 0.221303i) q^{6} +(0.740084 + 0.740084i) q^{7} +(-0.165909 - 2.82356i) q^{8} +(-2.38987 - 1.73634i) q^{9} +(3.10255 - 0.611682i) q^{10} +(-3.18628 - 0.504658i) q^{11} +(-0.105486 - 0.415599i) q^{12} +(0.927603 + 0.673943i) q^{13} +(-0.410991 - 1.42196i) q^{14} +(0.444379 - 0.179831i) q^{15} +(-1.72307 + 3.60985i) q^{16} +(3.08791 - 6.06036i) q^{17} +(1.77353 + 3.78249i) q^{18} +(1.53716 - 3.01685i) q^{19} +(-4.25981 - 1.36161i) q^{20} +(-0.101869 - 0.199930i) q^{21} +(3.60103 + 2.80121i) q^{22} +(1.28772 - 8.13036i) q^{23} +(-0.153232 + 0.586702i) q^{24} +(0.862713 - 4.92501i) q^{25} +(-0.688379 - 1.46814i) q^{26} +(0.750294 + 1.03269i) q^{27} +(-0.462270 + 2.04159i) q^{28} +(-1.07012 - 2.10023i) q^{29} +(-0.673121 - 0.0808239i) q^{30} +(-8.74921 + 2.84279i) q^{31} +(4.59933 - 3.29336i) q^{32} +(0.616236 + 0.313988i) q^{33} +(-7.96319 + 5.39572i) q^{34} +(-2.33156 - 0.202666i) q^{35} +(0.387246 - 5.89537i) q^{36} +(0.943836 + 0.685737i) q^{37} +(-3.96408 + 2.68600i) q^{38} +(-0.144486 - 0.198867i) q^{39} +(4.34512 + 4.59565i) q^{40} +(-5.17900 + 7.12828i) q^{41} +(-0.0104053 + 0.317160i) q^{42} -5.67991 q^{43} +(-2.54604 - 5.92841i) q^{44} +(6.58908 - 0.464469i) q^{45} +(-7.14778 + 9.18865i) q^{46} +(-1.88101 - 3.69169i) q^{47} +(0.590478 - 0.621880i) q^{48} -5.90455i q^{49} +(-4.43218 + 5.50961i) q^{50} +(-1.03111 + 1.03111i) q^{51} +(-0.150305 + 2.28823i) q^{52} +(4.22175 + 1.37173i) q^{53} +(-0.223781 - 1.79129i) q^{54} +(6.18114 - 3.71873i) q^{55} +(1.96688 - 2.21245i) q^{56} +(-0.513286 + 0.513286i) q^{57} +(-0.109306 + 3.33172i) q^{58} +(-14.6366 + 2.31822i) q^{59} +(0.778351 + 0.559838i) q^{60} +(13.0389 + 2.06516i) q^{61} +(12.7762 + 2.45547i) q^{62} +(-0.483665 - 3.05374i) q^{63} +(-7.94495 + 0.936907i) q^{64} +(-2.55748 + 0.180279i) q^{65} +(-0.548654 - 0.809721i) q^{66} +(-1.39965 - 4.30767i) q^{67} +(13.5465 - 1.24280i) q^{68} +(-0.801195 + 1.57243i) q^{69} +(2.74885 + 1.84345i) q^{70} +(0.332493 - 1.02331i) q^{71} +(-4.50615 + 7.03600i) q^{72} +(3.05323 + 0.483584i) q^{73} +(-0.700426 - 1.49383i) q^{74} +(-0.502184 + 0.947033i) q^{75} +(6.74347 - 0.618670i) q^{76} +(-1.98463 - 2.73161i) q^{77} +(0.0430939 + 0.344951i) q^{78} +(3.62212 - 11.1477i) q^{79} +(-2.24186 - 8.65876i) q^{80} +(2.65398 + 8.16810i) q^{81} +(11.2821 - 5.28994i) q^{82} +(-6.90230 + 2.24269i) q^{83} +(0.229510 - 0.385646i) q^{84} +(3.42961 + 14.8173i) q^{85} +(7.03368 + 3.87945i) q^{86} +(0.0790534 + 0.499124i) q^{87} +(-0.896297 + 9.08038i) q^{88} +(13.0863 - 9.50778i) q^{89} +(-8.47678 - 3.92525i) q^{90} +(0.187730 + 1.18528i) q^{91} +(15.1274 - 6.49668i) q^{92} +1.97226 q^{93} +(-0.192133 + 5.85633i) q^{94} +(1.70726 + 7.37608i) q^{95} +(-1.15597 + 0.366797i) q^{96} +(-12.4360 + 6.33644i) q^{97} +(-4.03288 + 7.31186i) q^{98} +(6.73854 + 6.73854i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23834 0.683012i −0.875641 0.482963i
\(3\) −0.203896 0.0662497i −0.117719 0.0382493i 0.249565 0.968358i \(-0.419712\pi\)
−0.367284 + 0.930109i \(0.619712\pi\)
\(4\) 1.06699 + 1.69161i 0.533494 + 0.845804i
\(5\) −1.71212 + 1.43828i −0.765684 + 0.643217i
\(6\) 0.207243 + 0.221303i 0.0846068 + 0.0903466i
\(7\) 0.740084 + 0.740084i 0.279725 + 0.279725i 0.832999 0.553274i \(-0.186622\pi\)
−0.553274 + 0.832999i \(0.686622\pi\)
\(8\) −0.165909 2.82356i −0.0586577 0.998278i
\(9\) −2.38987 1.73634i −0.796622 0.578780i
\(10\) 3.10255 0.611682i 0.981114 0.193431i
\(11\) −3.18628 0.504658i −0.960701 0.152160i −0.343663 0.939093i \(-0.611668\pi\)
−0.617038 + 0.786933i \(0.711668\pi\)
\(12\) −0.105486 0.415599i −0.0304511 0.119973i
\(13\) 0.927603 + 0.673943i 0.257271 + 0.186918i 0.708943 0.705266i \(-0.249172\pi\)
−0.451672 + 0.892184i \(0.649172\pi\)
\(14\) −0.410991 1.42196i −0.109842 0.380036i
\(15\) 0.444379 0.179831i 0.114738 0.0464322i
\(16\) −1.72307 + 3.60985i −0.430768 + 0.902463i
\(17\) 3.08791 6.06036i 0.748927 1.46985i −0.129299 0.991606i \(-0.541273\pi\)
0.878226 0.478247i \(-0.158727\pi\)
\(18\) 1.77353 + 3.78249i 0.418026 + 0.891542i
\(19\) 1.53716 3.01685i 0.352649 0.692114i −0.644734 0.764407i \(-0.723032\pi\)
0.997383 + 0.0722935i \(0.0230318\pi\)
\(20\) −4.25981 1.36161i −0.952523 0.304465i
\(21\) −0.101869 0.199930i −0.0222297 0.0436283i
\(22\) 3.60103 + 2.80121i 0.767741 + 0.597220i
\(23\) 1.28772 8.13036i 0.268509 1.69530i −0.372717 0.927945i \(-0.621574\pi\)
0.641226 0.767352i \(-0.278426\pi\)
\(24\) −0.153232 + 0.586702i −0.0312783 + 0.119760i
\(25\) 0.862713 4.92501i 0.172543 0.985002i
\(26\) −0.688379 1.46814i −0.135002 0.287925i
\(27\) 0.750294 + 1.03269i 0.144394 + 0.198742i
\(28\) −0.462270 + 2.04159i −0.0873609 + 0.385825i
\(29\) −1.07012 2.10023i −0.198717 0.390004i 0.770048 0.637986i \(-0.220232\pi\)
−0.968764 + 0.247983i \(0.920232\pi\)
\(30\) −0.673121 0.0808239i −0.122895 0.0147564i
\(31\) −8.74921 + 2.84279i −1.57140 + 0.510580i −0.959824 0.280602i \(-0.909466\pi\)
−0.611580 + 0.791182i \(0.709466\pi\)
\(32\) 4.59933 3.29336i 0.813054 0.582188i
\(33\) 0.616236 + 0.313988i 0.107273 + 0.0546583i
\(34\) −7.96319 + 5.39572i −1.36567 + 0.925359i
\(35\) −2.33156 0.202666i −0.394105 0.0342569i
\(36\) 0.387246 5.89537i 0.0645409 0.982562i
\(37\) 0.943836 + 0.685737i 0.155166 + 0.112734i 0.662659 0.748921i \(-0.269428\pi\)
−0.507493 + 0.861656i \(0.669428\pi\)
\(38\) −3.96408 + 2.68600i −0.643059 + 0.435726i
\(39\) −0.144486 0.198867i −0.0231362 0.0318443i
\(40\) 4.34512 + 4.59565i 0.687023 + 0.726636i
\(41\) −5.17900 + 7.12828i −0.808824 + 1.11325i 0.182680 + 0.983173i \(0.441523\pi\)
−0.991504 + 0.130078i \(0.958477\pi\)
\(42\) −0.0104053 + 0.317160i −0.00160558 + 0.0489389i
\(43\) −5.67991 −0.866179 −0.433089 0.901351i \(-0.642577\pi\)
−0.433089 + 0.901351i \(0.642577\pi\)
\(44\) −2.54604 5.92841i −0.383831 0.893741i
\(45\) 6.58908 0.464469i 0.982242 0.0692390i
\(46\) −7.14778 + 9.18865i −1.05388 + 1.35479i
\(47\) −1.88101 3.69169i −0.274373 0.538488i 0.712166 0.702011i \(-0.247714\pi\)
−0.986540 + 0.163523i \(0.947714\pi\)
\(48\) 0.590478 0.621880i 0.0852282 0.0897606i
\(49\) 5.90455i 0.843507i
\(50\) −4.43218 + 5.50961i −0.626805 + 0.779176i
\(51\) −1.03111 + 1.03111i −0.144384 + 0.144384i
\(52\) −0.150305 + 2.28823i −0.0208436 + 0.317320i
\(53\) 4.22175 + 1.37173i 0.579902 + 0.188422i 0.584257 0.811569i \(-0.301386\pi\)
−0.00435467 + 0.999991i \(0.501386\pi\)
\(54\) −0.223781 1.79129i −0.0304527 0.243763i
\(55\) 6.18114 3.71873i 0.833465 0.501433i
\(56\) 1.96688 2.21245i 0.262836 0.295652i
\(57\) −0.513286 + 0.513286i −0.0679864 + 0.0679864i
\(58\) −0.109306 + 3.33172i −0.0143526 + 0.437476i
\(59\) −14.6366 + 2.31822i −1.90553 + 0.301806i −0.993996 0.109420i \(-0.965101\pi\)
−0.911533 + 0.411226i \(0.865101\pi\)
\(60\) 0.778351 + 0.559838i 0.100485 + 0.0722747i
\(61\) 13.0389 + 2.06516i 1.66946 + 0.264416i 0.918352 0.395764i \(-0.129520\pi\)
0.751107 + 0.660180i \(0.229520\pi\)
\(62\) 12.7762 + 2.45547i 1.62258 + 0.311845i
\(63\) −0.483665 3.05374i −0.0609360 0.384735i
\(64\) −7.94495 + 0.936907i −0.993119 + 0.117113i
\(65\) −2.55748 + 0.180279i −0.317217 + 0.0223609i
\(66\) −0.548654 0.809721i −0.0675346 0.0996698i
\(67\) −1.39965 4.30767i −0.170994 0.526266i 0.828434 0.560087i \(-0.189232\pi\)
−0.999428 + 0.0338210i \(0.989232\pi\)
\(68\) 13.5465 1.24280i 1.64275 0.150712i
\(69\) −0.801195 + 1.57243i −0.0964525 + 0.189299i
\(70\) 2.74885 + 1.84345i 0.328550 + 0.220335i
\(71\) 0.332493 1.02331i 0.0394597 0.121444i −0.929386 0.369109i \(-0.879663\pi\)
0.968846 + 0.247664i \(0.0796630\pi\)
\(72\) −4.50615 + 7.03600i −0.531055 + 0.829200i
\(73\) 3.05323 + 0.483584i 0.357354 + 0.0565993i 0.332530 0.943093i \(-0.392098\pi\)
0.0248234 + 0.999692i \(0.492098\pi\)
\(74\) −0.700426 1.49383i −0.0814229 0.173654i
\(75\) −0.502184 + 0.947033i −0.0579872 + 0.109354i
\(76\) 6.74347 0.618670i 0.773529 0.0709663i
\(77\) −1.98463 2.73161i −0.226169 0.311295i
\(78\) 0.0430939 + 0.344951i 0.00487942 + 0.0390581i
\(79\) 3.62212 11.1477i 0.407520 1.25422i −0.511252 0.859431i \(-0.670818\pi\)
0.918772 0.394788i \(-0.129182\pi\)
\(80\) −2.24186 8.65876i −0.250648 0.968078i
\(81\) 2.65398 + 8.16810i 0.294886 + 0.907567i
\(82\) 11.2821 5.28994i 1.24590 0.584176i
\(83\) −6.90230 + 2.24269i −0.757626 + 0.246168i −0.662259 0.749275i \(-0.730402\pi\)
−0.0953665 + 0.995442i \(0.530402\pi\)
\(84\) 0.229510 0.385646i 0.0250416 0.0420775i
\(85\) 3.42961 + 14.8173i 0.371993 + 1.60716i
\(86\) 7.03368 + 3.87945i 0.758461 + 0.418332i
\(87\) 0.0790534 + 0.499124i 0.00847541 + 0.0535117i
\(88\) −0.896297 + 9.08038i −0.0955455 + 0.967972i
\(89\) 13.0863 9.50778i 1.38715 1.00782i 0.390978 0.920400i \(-0.372137\pi\)
0.996171 0.0874233i \(-0.0278633\pi\)
\(90\) −8.47678 3.92525i −0.893531 0.413758i
\(91\) 0.187730 + 1.18528i 0.0196794 + 0.124251i
\(92\) 15.1274 6.49668i 1.57714 0.677326i
\(93\) 1.97226 0.204514
\(94\) −0.192133 + 5.85633i −0.0198171 + 0.604034i
\(95\) 1.70726 + 7.37608i 0.175162 + 0.756770i
\(96\) −1.15597 + 0.366797i −0.117980 + 0.0374360i
\(97\) −12.4360 + 6.33644i −1.26268 + 0.643368i −0.951694 0.307047i \(-0.900659\pi\)
−0.310986 + 0.950415i \(0.600659\pi\)
\(98\) −4.03288 + 7.31186i −0.407383 + 0.738610i
\(99\) 6.73854 + 6.73854i 0.677248 + 0.677248i
\(100\) 9.25169 3.79556i 0.925169 0.379556i
\(101\) −5.76587 + 5.76587i −0.573725 + 0.573725i −0.933167 0.359442i \(-0.882967\pi\)
0.359442 + 0.933167i \(0.382967\pi\)
\(102\) 1.98112 0.572606i 0.196160 0.0566964i
\(103\) 3.80117 + 7.46022i 0.374541 + 0.735077i 0.998940 0.0460277i \(-0.0146563\pi\)
−0.624399 + 0.781105i \(0.714656\pi\)
\(104\) 1.74902 2.73095i 0.171505 0.267792i
\(105\) 0.461968 + 0.195788i 0.0450834 + 0.0191069i
\(106\) −4.29107 4.58218i −0.416785 0.445061i
\(107\) 1.40460i 0.135788i −0.997693 0.0678939i \(-0.978372\pi\)
0.997693 0.0678939i \(-0.0216279\pi\)
\(108\) −0.946354 + 2.37107i −0.0910629 + 0.228157i
\(109\) 9.94690 1.57543i 0.952740 0.150899i 0.339333 0.940666i \(-0.389799\pi\)
0.613407 + 0.789767i \(0.289799\pi\)
\(110\) −10.1943 + 0.383265i −0.971989 + 0.0365429i
\(111\) −0.147014 0.202348i −0.0139540 0.0192060i
\(112\) −3.94681 + 1.39637i −0.372938 + 0.131945i
\(113\) −0.887999 + 0.140645i −0.0835359 + 0.0132308i −0.198062 0.980189i \(-0.563465\pi\)
0.114527 + 0.993420i \(0.463465\pi\)
\(114\) 0.986206 0.285044i 0.0923666 0.0266968i
\(115\) 9.48898 + 15.7723i 0.884852 + 1.47077i
\(116\) 2.41096 4.05115i 0.223852 0.376140i
\(117\) −1.04665 3.22127i −0.0967631 0.297806i
\(118\) 19.7086 + 7.12626i 1.81432 + 0.656025i
\(119\) 6.77048 2.19986i 0.620649 0.201661i
\(120\) −0.581490 1.22489i −0.0530825 0.111817i
\(121\) −0.563895 0.183221i −0.0512632 0.0166564i
\(122\) −14.7361 11.4631i −1.33414 1.03782i
\(123\) 1.52822 1.11032i 0.137795 0.100114i
\(124\) −14.1442 11.7670i −1.27019 1.05671i
\(125\) 5.60646 + 9.67303i 0.501457 + 0.865182i
\(126\) −1.48680 + 4.11192i −0.132454 + 0.366319i
\(127\) −0.357411 + 2.25660i −0.0317151 + 0.200241i −0.998458 0.0555082i \(-0.982322\pi\)
0.966743 + 0.255749i \(0.0823221\pi\)
\(128\) 10.4785 + 4.26628i 0.926177 + 0.377090i
\(129\) 1.15811 + 0.376292i 0.101966 + 0.0331307i
\(130\) 3.29018 + 1.52355i 0.288568 + 0.133624i
\(131\) 0.498697 + 0.254099i 0.0435714 + 0.0222007i 0.475640 0.879640i \(-0.342216\pi\)
−0.432069 + 0.901841i \(0.642216\pi\)
\(132\) 0.126372 + 1.37745i 0.0109993 + 0.119892i
\(133\) 3.37035 1.09509i 0.292247 0.0949567i
\(134\) −1.20895 + 6.29036i −0.104437 + 0.543404i
\(135\) −2.76989 0.688961i −0.238394 0.0592963i
\(136\) −17.6241 7.71341i −1.51125 0.661419i
\(137\) −2.38610 + 0.377921i −0.203858 + 0.0322880i −0.257528 0.966271i \(-0.582908\pi\)
0.0536700 + 0.998559i \(0.482908\pi\)
\(138\) 2.06615 1.39999i 0.175882 0.119175i
\(139\) −0.758987 + 4.79206i −0.0643765 + 0.406457i 0.934366 + 0.356316i \(0.115967\pi\)
−0.998742 + 0.0501414i \(0.984033\pi\)
\(140\) −2.14491 4.16032i −0.181278 0.351612i
\(141\) 0.138956 + 0.877335i 0.0117022 + 0.0738849i
\(142\) −1.11067 + 1.04011i −0.0932056 + 0.0872841i
\(143\) −2.61550 2.61550i −0.218719 0.218719i
\(144\) 10.3858 5.63522i 0.865487 0.469602i
\(145\) 4.85290 + 2.05672i 0.403011 + 0.170801i
\(146\) −3.45065 2.68424i −0.285578 0.222149i
\(147\) −0.391175 + 1.20391i −0.0322636 + 0.0992970i
\(148\) −0.152936 + 2.32827i −0.0125712 + 0.191383i
\(149\) 3.68222 + 3.68222i 0.301659 + 0.301659i 0.841663 0.540004i \(-0.181577\pi\)
−0.540004 + 0.841663i \(0.681577\pi\)
\(150\) 1.26871 0.829755i 0.103590 0.0677492i
\(151\) −11.3496 −0.923615 −0.461808 0.886980i \(-0.652799\pi\)
−0.461808 + 0.886980i \(0.652799\pi\)
\(152\) −8.77329 3.83975i −0.711607 0.311444i
\(153\) −17.9025 + 9.12179i −1.44733 + 0.737453i
\(154\) 0.591930 + 4.73819i 0.0476991 + 0.381814i
\(155\) 10.8910 17.4510i 0.874784 1.40170i
\(156\) 0.182241 0.456602i 0.0145910 0.0365574i
\(157\) 17.4728i 1.39448i −0.716837 0.697241i \(-0.754411\pi\)
0.716837 0.697241i \(-0.245589\pi\)
\(158\) −12.0995 + 11.3308i −0.962582 + 0.901428i
\(159\) −0.769920 0.559379i −0.0610586 0.0443617i
\(160\) −3.13784 + 12.2537i −0.248068 + 0.968743i
\(161\) 6.97017 5.06412i 0.549326 0.399109i
\(162\) 2.29238 11.9276i 0.180106 0.937122i
\(163\) 5.90839 8.13221i 0.462781 0.636964i −0.512301 0.858806i \(-0.671207\pi\)
0.975083 + 0.221842i \(0.0712069\pi\)
\(164\) −17.5842 1.15504i −1.37309 0.0901936i
\(165\) −1.50667 + 0.348733i −0.117294 + 0.0271489i
\(166\) 10.0792 + 1.93713i 0.782298 + 0.150351i
\(167\) 2.18338 4.28512i 0.168955 0.331592i −0.790968 0.611858i \(-0.790423\pi\)
0.959923 + 0.280265i \(0.0904225\pi\)
\(168\) −0.547613 + 0.320804i −0.0422493 + 0.0247506i
\(169\) −3.61097 11.1134i −0.277767 0.854879i
\(170\) 5.87338 20.6914i 0.450468 1.58696i
\(171\) −8.91190 + 4.54084i −0.681510 + 0.347247i
\(172\) −6.06040 9.60818i −0.462101 0.732617i
\(173\) −14.2106 + 10.3246i −1.08041 + 0.784963i −0.977754 0.209755i \(-0.932734\pi\)
−0.102654 + 0.994717i \(0.532734\pi\)
\(174\) 0.243012 0.672081i 0.0184227 0.0509503i
\(175\) 4.28340 3.00644i 0.323795 0.227265i
\(176\) 7.31194 10.6324i 0.551158 0.801451i
\(177\) 3.13793 + 0.496999i 0.235861 + 0.0373567i
\(178\) −22.6993 + 2.83577i −1.70139 + 0.212550i
\(179\) −15.7728 + 8.03665i −1.17892 + 0.600688i −0.929900 0.367812i \(-0.880107\pi\)
−0.249016 + 0.968499i \(0.580107\pi\)
\(180\) 7.81617 + 10.6506i 0.582583 + 0.793845i
\(181\) −8.81369 4.49080i −0.655116 0.333798i 0.0946410 0.995511i \(-0.469830\pi\)
−0.749757 + 0.661713i \(0.769830\pi\)
\(182\) 0.577086 1.59600i 0.0427764 0.118304i
\(183\) −2.52176 1.28490i −0.186414 0.0949825i
\(184\) −23.1702 2.28706i −1.70813 0.168604i
\(185\) −2.60224 + 0.183434i −0.191321 + 0.0134863i
\(186\) −2.44233 1.34708i −0.179081 0.0987725i
\(187\) −12.8974 + 17.7517i −0.943148 + 1.29813i
\(188\) 4.23787 7.12091i 0.309078 0.519346i
\(189\) −0.208998 + 1.31956i −0.0152023 + 0.0959838i
\(190\) 2.92378 10.3002i 0.212113 0.747256i
\(191\) 0.146333 0.201410i 0.0105883 0.0145735i −0.803690 0.595048i \(-0.797133\pi\)
0.814278 + 0.580475i \(0.197133\pi\)
\(192\) 1.68201 + 0.335319i 0.121389 + 0.0241996i
\(193\) 10.3712 10.3712i 0.746532 0.746532i −0.227294 0.973826i \(-0.572988\pi\)
0.973826 + 0.227294i \(0.0729879\pi\)
\(194\) 19.7279 + 0.647228i 1.41638 + 0.0464683i
\(195\) 0.533403 + 0.132674i 0.0381978 + 0.00950101i
\(196\) 9.98819 6.30009i 0.713442 0.450006i
\(197\) −1.22867 + 3.78145i −0.0875390 + 0.269417i −0.985238 0.171193i \(-0.945238\pi\)
0.897699 + 0.440610i \(0.145238\pi\)
\(198\) −3.74212 12.9471i −0.265941 0.920112i
\(199\) 3.94979i 0.279993i 0.990152 + 0.139997i \(0.0447092\pi\)
−0.990152 + 0.139997i \(0.955291\pi\)
\(200\) −14.0492 1.61882i −0.993427 0.114468i
\(201\) 0.971042i 0.0684920i
\(202\) 11.0783 3.20196i 0.779465 0.225289i
\(203\) 0.762368 2.34633i 0.0535078 0.164680i
\(204\) −2.84441 0.644049i −0.199148 0.0450925i
\(205\) −1.38538 19.6533i −0.0967590 1.37265i
\(206\) 0.388266 11.8346i 0.0270518 0.824553i
\(207\) −17.1946 + 17.1946i −1.19510 + 1.19510i
\(208\) −4.03116 + 2.18726i −0.279511 + 0.151659i
\(209\) −6.42032 + 8.83681i −0.444103 + 0.611255i
\(210\) −0.438349 0.557982i −0.0302490 0.0385044i
\(211\) −3.88023 + 24.4988i −0.267126 + 1.68657i 0.380635 + 0.924725i \(0.375705\pi\)
−0.647762 + 0.761843i \(0.724295\pi\)
\(212\) 2.18413 + 8.60516i 0.150007 + 0.591005i
\(213\) −0.135588 + 0.186621i −0.00929032 + 0.0127870i
\(214\) −0.959359 + 1.73938i −0.0655804 + 0.118901i
\(215\) 9.72470 8.16929i 0.663219 0.557141i
\(216\) 2.79138 2.28983i 0.189930 0.155803i
\(217\) −8.57905 4.37124i −0.582384 0.296739i
\(218\) −13.3937 4.84293i −0.907137 0.328004i
\(219\) −0.590503 0.300876i −0.0399025 0.0203313i
\(220\) 12.8858 + 6.48823i 0.868763 + 0.437436i
\(221\) 6.94868 3.54053i 0.467419 0.238162i
\(222\) 0.0438481 + 0.350988i 0.00294289 + 0.0235568i
\(223\) 17.7004 + 2.80347i 1.18531 + 0.187734i 0.717796 0.696253i \(-0.245151\pi\)
0.467511 + 0.883987i \(0.345151\pi\)
\(224\) 5.84125 + 0.966528i 0.390285 + 0.0645789i
\(225\) −10.6133 + 10.2722i −0.707551 + 0.684810i
\(226\) 1.19571 + 0.432347i 0.0795374 + 0.0287593i
\(227\) 17.4910 12.7080i 1.16092 0.843456i 0.171024 0.985267i \(-0.445292\pi\)
0.989894 + 0.141810i \(0.0452923\pi\)
\(228\) −1.41595 0.320609i −0.0937736 0.0212328i
\(229\) 4.85328 2.47287i 0.320714 0.163412i −0.286221 0.958164i \(-0.592399\pi\)
0.606934 + 0.794752i \(0.292399\pi\)
\(230\) −0.977969 26.0126i −0.0644853 1.71522i
\(231\) 0.223689 + 0.688443i 0.0147176 + 0.0452962i
\(232\) −5.75259 + 3.37000i −0.377676 + 0.221251i
\(233\) 9.24432 18.1430i 0.605615 1.18859i −0.361050 0.932546i \(-0.617582\pi\)
0.966666 0.256041i \(-0.0824182\pi\)
\(234\) −0.904049 + 4.70391i −0.0590995 + 0.307504i
\(235\) 8.53018 + 3.61520i 0.556448 + 0.235830i
\(236\) −19.5386 22.2859i −1.27186 1.45069i
\(237\) −1.47707 + 2.03301i −0.0959459 + 0.132058i
\(238\) −9.88671 1.90014i −0.640860 0.123168i
\(239\) 3.87855 2.81793i 0.250883 0.182277i −0.455235 0.890371i \(-0.650445\pi\)
0.706118 + 0.708094i \(0.250445\pi\)
\(240\) −0.116534 + 1.91400i −0.00752225 + 0.123548i
\(241\) 1.68811 + 1.22648i 0.108741 + 0.0790047i 0.640827 0.767686i \(-0.278592\pi\)
−0.532086 + 0.846690i \(0.678592\pi\)
\(242\) 0.573154 + 0.612038i 0.0368437 + 0.0393433i
\(243\) 5.67070i 0.363775i
\(244\) 10.4189 + 24.2602i 0.667002 + 1.55310i
\(245\) 8.49239 + 10.1093i 0.542559 + 0.645860i
\(246\) −2.65082 + 0.331161i −0.169010 + 0.0211140i
\(247\) 3.45906 1.76248i 0.220095 0.112144i
\(248\) 9.47835 + 24.2322i 0.601876 + 1.53875i
\(249\) 1.55593 0.0986028
\(250\) −0.335926 15.8078i −0.0212458 0.999774i
\(251\) −7.28132 7.28132i −0.459593 0.459593i 0.438929 0.898522i \(-0.355358\pi\)
−0.898522 + 0.438929i \(0.855358\pi\)
\(252\) 4.64966 4.07647i 0.292901 0.256794i
\(253\) −8.20610 + 25.2558i −0.515913 + 1.58782i
\(254\) 1.98388 2.55033i 0.124480 0.160022i
\(255\) 0.282361 3.24840i 0.0176821 0.203423i
\(256\) −10.0620 12.4401i −0.628878 0.777504i
\(257\) 7.15668 + 7.15668i 0.446422 + 0.446422i 0.894163 0.447741i \(-0.147772\pi\)
−0.447741 + 0.894163i \(0.647772\pi\)
\(258\) −1.17712 1.25698i −0.0732846 0.0782563i
\(259\) 0.191015 + 1.20602i 0.0118691 + 0.0749384i
\(260\) −3.03377 4.13390i −0.188146 0.256374i
\(261\) −1.08927 + 6.87737i −0.0674241 + 0.425699i
\(262\) −0.444005 0.655278i −0.0274308 0.0404832i
\(263\) −18.5416 + 2.93671i −1.14333 + 0.181085i −0.699232 0.714895i \(-0.746474\pi\)
−0.444094 + 0.895980i \(0.646474\pi\)
\(264\) 0.784323 1.79207i 0.0482718 0.110294i
\(265\) −9.20107 + 3.72348i −0.565217 + 0.228732i
\(266\) −4.92162 0.945890i −0.301764 0.0579963i
\(267\) −3.29814 + 1.07163i −0.201843 + 0.0655826i
\(268\) 5.79349 6.96389i 0.353894 0.425388i
\(269\) 16.7800 + 8.54985i 1.02310 + 0.521293i 0.883261 0.468882i \(-0.155343\pi\)
0.139835 + 0.990175i \(0.455343\pi\)
\(270\) 2.95951 + 2.74504i 0.180110 + 0.167058i
\(271\) 7.83759 + 2.54659i 0.476100 + 0.154694i 0.537230 0.843436i \(-0.319471\pi\)
−0.0611306 + 0.998130i \(0.519471\pi\)
\(272\) 16.5563 + 21.5893i 1.00387 + 1.30904i
\(273\) 0.0402471 0.254110i 0.00243586 0.0153794i
\(274\) 3.21294 + 1.16174i 0.194101 + 0.0701833i
\(275\) −5.23430 + 15.2571i −0.315640 + 0.920038i
\(276\) −3.51481 + 0.322461i −0.211566 + 0.0194099i
\(277\) −9.80447 + 7.12336i −0.589093 + 0.428001i −0.841991 0.539492i \(-0.818616\pi\)
0.252898 + 0.967493i \(0.418616\pi\)
\(278\) 4.21292 5.41581i 0.252674 0.324819i
\(279\) 25.8455 + 8.39771i 1.54733 + 0.502758i
\(280\) −0.185414 + 6.61691i −0.0110806 + 0.395436i
\(281\) −14.8168 + 4.81426i −0.883895 + 0.287195i −0.715574 0.698537i \(-0.753835\pi\)
−0.168321 + 0.985732i \(0.553835\pi\)
\(282\) 0.427155 1.18135i 0.0254367 0.0703484i
\(283\) −7.56981 23.2975i −0.449978 1.38489i −0.876931 0.480617i \(-0.840413\pi\)
0.426953 0.904274i \(-0.359587\pi\)
\(284\) 2.08580 0.529410i 0.123770 0.0314147i
\(285\) 0.140560 1.61706i 0.00832604 0.0957862i
\(286\) 1.45247 + 5.02530i 0.0858861 + 0.297152i
\(287\) −9.10842 + 1.44263i −0.537653 + 0.0851559i
\(288\) −16.7102 0.115314i −0.984656 0.00679497i
\(289\) −17.2004 23.6743i −1.01179 1.39261i
\(290\) −4.60479 5.86151i −0.270402 0.344200i
\(291\) 2.95542 0.468093i 0.173250 0.0274401i
\(292\) 2.43973 + 5.68085i 0.142774 + 0.332446i
\(293\) 0.0972266i 0.00568004i −0.999996 0.00284002i \(-0.999096\pi\)
0.999996 0.00284002i \(-0.000904008\pi\)
\(294\) 1.30670 1.22368i 0.0762080 0.0713664i
\(295\) 21.7255 25.0206i 1.26491 1.45676i
\(296\) 1.77963 2.77874i 0.103439 0.161511i
\(297\) −1.86950 3.66909i −0.108479 0.212902i
\(298\) −2.04485 7.07484i −0.118455 0.409835i
\(299\) 6.67389 6.67389i 0.385961 0.385961i
\(300\) −2.13783 + 0.160975i −0.123428 + 0.00929392i
\(301\) −4.20361 4.20361i −0.242292 0.242292i
\(302\) 14.0547 + 7.75190i 0.808755 + 0.446072i
\(303\) 1.55762 0.793648i 0.0894830 0.0455939i
\(304\) 8.24175 + 10.7472i 0.472697 + 0.616393i
\(305\) −25.2944 + 15.2178i −1.44835 + 0.871366i
\(306\) 28.3998 + 0.931735i 1.62351 + 0.0532637i
\(307\) −4.32621 −0.246910 −0.123455 0.992350i \(-0.539397\pi\)
−0.123455 + 0.992350i \(0.539397\pi\)
\(308\) 2.50323 6.27180i 0.142635 0.357369i
\(309\) −0.280805 1.77293i −0.0159744 0.100859i
\(310\) −25.4060 + 14.1716i −1.44296 + 0.804896i
\(311\) 18.3379 13.3233i 1.03985 0.755493i 0.0695910 0.997576i \(-0.477831\pi\)
0.970256 + 0.242083i \(0.0778306\pi\)
\(312\) −0.537542 + 0.440957i −0.0304323 + 0.0249643i
\(313\) −1.44321 9.11210i −0.0815753 0.515046i −0.994313 0.106500i \(-0.966036\pi\)
0.912737 0.408547i \(-0.133964\pi\)
\(314\) −11.9341 + 21.6373i −0.673482 + 1.22107i
\(315\) 5.22022 + 4.53272i 0.294126 + 0.255390i
\(316\) 22.7224 5.76730i 1.27823 0.324436i
\(317\) −15.9783 + 5.19167i −0.897432 + 0.291593i −0.721177 0.692751i \(-0.756398\pi\)
−0.176255 + 0.984345i \(0.556398\pi\)
\(318\) 0.571362 + 1.21857i 0.0320404 + 0.0683339i
\(319\) 2.34981 + 7.23199i 0.131564 + 0.404913i
\(320\) 12.2552 13.0311i 0.685085 0.728463i
\(321\) −0.0930543 + 0.286392i −0.00519379 + 0.0159848i
\(322\) −12.0903 + 1.51041i −0.673767 + 0.0841720i
\(323\) −13.5366 18.6315i −0.753196 1.03669i
\(324\) −10.9855 + 13.2048i −0.610303 + 0.733598i
\(325\) 4.11943 3.98703i 0.228505 0.221161i
\(326\) −12.8710 + 6.03496i −0.712860 + 0.334245i
\(327\) −2.13250 0.337755i −0.117928 0.0186779i
\(328\) 20.9864 + 13.4406i 1.15878 + 0.742131i
\(329\) 1.34005 4.12426i 0.0738795 0.227378i
\(330\) 2.10397 + 0.597224i 0.115820 + 0.0328761i
\(331\) −2.87204 + 5.63669i −0.157861 + 0.309820i −0.956368 0.292166i \(-0.905624\pi\)
0.798506 + 0.601987i \(0.205624\pi\)
\(332\) −11.1584 9.28306i −0.612398 0.509474i
\(333\) −1.06497 3.27764i −0.0583600 0.179614i
\(334\) −5.63056 + 3.81517i −0.308090 + 0.208757i
\(335\) 8.59200 + 5.36218i 0.469431 + 0.292967i
\(336\) 0.897246 0.0232397i 0.0489488 0.00126783i
\(337\) −4.39092 27.7232i −0.239189 1.51018i −0.756280 0.654248i \(-0.772985\pi\)
0.517092 0.855930i \(-0.327015\pi\)
\(338\) −3.11899 + 16.2286i −0.169651 + 0.882719i
\(339\) 0.190377 + 0.0301527i 0.0103398 + 0.00163767i
\(340\) −21.4057 + 21.6115i −1.16089 + 1.17205i
\(341\) 29.3121 4.64258i 1.58734 0.251410i
\(342\) 14.1374 + 0.463819i 0.764465 + 0.0250804i
\(343\) 9.55045 9.55045i 0.515676 0.515676i
\(344\) 0.942349 + 16.0376i 0.0508081 + 0.864687i
\(345\) −0.889854 3.84454i −0.0479081 0.206983i
\(346\) 24.6494 3.07938i 1.32516 0.165549i
\(347\) 21.1676 + 6.87777i 1.13634 + 0.369218i 0.815981 0.578079i \(-0.196198\pi\)
0.320356 + 0.947297i \(0.396198\pi\)
\(348\) −0.759972 + 0.666286i −0.0407388 + 0.0357167i
\(349\) 11.1776 11.1776i 0.598326 0.598326i −0.341541 0.939867i \(-0.610949\pi\)
0.939867 + 0.341541i \(0.110949\pi\)
\(350\) −7.35775 + 0.797389i −0.393289 + 0.0426223i
\(351\) 1.46358i 0.0781203i
\(352\) −16.3168 + 8.17248i −0.869687 + 0.435595i
\(353\) 10.1187 + 19.8590i 0.538563 + 1.05699i 0.986628 + 0.162988i \(0.0521133\pi\)
−0.448065 + 0.894001i \(0.647887\pi\)
\(354\) −3.54638 2.75870i −0.188488 0.146623i
\(355\) 0.902534 + 2.23025i 0.0479015 + 0.118369i
\(356\) 30.0464 + 11.9923i 1.59246 + 0.635589i
\(357\) −1.52621 −0.0807756
\(358\) 25.0213 + 0.820895i 1.32242 + 0.0433856i
\(359\) −20.7046 + 28.4974i −1.09275 + 1.50403i −0.248080 + 0.968739i \(0.579800\pi\)
−0.844665 + 0.535295i \(0.820200\pi\)
\(360\) −2.40464 18.5276i −0.126736 0.976489i
\(361\) 4.42939 + 6.09653i 0.233126 + 0.320870i
\(362\) 7.84710 + 11.5810i 0.412434 + 0.608684i
\(363\) 0.102837 + 0.0747158i 0.00539757 + 0.00392156i
\(364\) −1.80472 + 1.58224i −0.0945930 + 0.0829320i
\(365\) −5.92303 + 3.56344i −0.310026 + 0.186519i
\(366\) 2.24520 + 3.31354i 0.117358 + 0.173201i
\(367\) 29.3040 + 14.9311i 1.52966 + 0.779399i 0.997727 0.0673902i \(-0.0214672\pi\)
0.531929 + 0.846789i \(0.321467\pi\)
\(368\) 27.1306 + 18.6577i 1.41428 + 0.972599i
\(369\) 24.7542 8.04314i 1.28865 0.418709i
\(370\) 3.34775 + 1.55021i 0.174041 + 0.0805915i
\(371\) 2.10925 + 4.13964i 0.109507 + 0.214920i
\(372\) 2.10438 + 3.33629i 0.109107 + 0.172978i
\(373\) −4.89181 6.73300i −0.253289 0.348622i 0.663371 0.748291i \(-0.269125\pi\)
−0.916660 + 0.399669i \(0.869125\pi\)
\(374\) 28.0960 13.1736i 1.45281 0.681192i
\(375\) −0.502298 2.34372i −0.0259385 0.121029i
\(376\) −10.1116 + 5.92362i −0.521467 + 0.305487i
\(377\) 0.422789 2.66938i 0.0217747 0.137480i
\(378\) 1.16009 1.49132i 0.0596684 0.0767052i
\(379\) −2.90546 5.70229i −0.149244 0.292907i 0.804266 0.594269i \(-0.202559\pi\)
−0.953510 + 0.301362i \(0.902559\pi\)
\(380\) −10.6558 + 10.7582i −0.546631 + 0.551885i
\(381\) 0.222374 0.436433i 0.0113925 0.0223591i
\(382\) −0.318777 + 0.149468i −0.0163100 + 0.00764744i
\(383\) 8.42901 16.5429i 0.430702 0.845301i −0.569033 0.822314i \(-0.692682\pi\)
0.999736 0.0229867i \(-0.00731752\pi\)
\(384\) −1.85388 1.56407i −0.0946053 0.0798163i
\(385\) 7.32673 + 1.82239i 0.373405 + 0.0928777i
\(386\) −19.9267 + 5.75942i −1.01424 + 0.293147i
\(387\) 13.5742 + 9.86226i 0.690017 + 0.501327i
\(388\) −23.9878 14.2759i −1.21780 0.724747i
\(389\) −3.16050 0.500573i −0.160244 0.0253801i 0.0757971 0.997123i \(-0.475850\pi\)
−0.236041 + 0.971743i \(0.575850\pi\)
\(390\) −0.569918 0.528618i −0.0288589 0.0267676i
\(391\) −45.2965 32.9098i −2.29074 1.66432i
\(392\) −16.6718 + 0.979619i −0.842055 + 0.0494782i
\(393\) −0.0848482 0.0848482i −0.00428002 0.00428002i
\(394\) 4.10429 3.84354i 0.206771 0.193635i
\(395\) 9.83204 + 24.2959i 0.494704 + 1.22246i
\(396\) −4.20902 + 18.5889i −0.211511 + 0.934127i
\(397\) −26.6493 8.65889i −1.33749 0.434577i −0.449025 0.893519i \(-0.648228\pi\)
−0.888466 + 0.458942i \(0.848228\pi\)
\(398\) 2.69776 4.89120i 0.135226 0.245174i
\(399\) −0.759750 −0.0380351
\(400\) 16.2920 + 11.6004i 0.814602 + 0.580021i
\(401\) 18.5987 0.928775 0.464388 0.885632i \(-0.346274\pi\)
0.464388 + 0.885632i \(0.346274\pi\)
\(402\) 0.663234 1.20248i 0.0330791 0.0599744i
\(403\) −10.0317 3.25949i −0.499713 0.162367i
\(404\) −15.9057 3.60147i −0.791338 0.179180i
\(405\) −16.2919 10.1676i −0.809552 0.505233i
\(406\) −2.54664 + 2.38485i −0.126388 + 0.118358i
\(407\) −2.66127 2.66127i −0.131914 0.131914i
\(408\) 3.08246 + 2.74032i 0.152604 + 0.135666i
\(409\) 9.03850 + 6.56686i 0.446925 + 0.324710i 0.788381 0.615188i \(-0.210920\pi\)
−0.341455 + 0.939898i \(0.610920\pi\)
\(410\) −11.7079 + 25.2838i −0.578211 + 1.24868i
\(411\) 0.511553 + 0.0810220i 0.0252330 + 0.00399652i
\(412\) −8.56396 + 14.3901i −0.421916 + 0.708947i
\(413\) −12.5480 9.11667i −0.617448 0.448602i
\(414\) 33.0369 9.54867i 1.62367 0.469291i
\(415\) 8.59195 13.7672i 0.421762 0.675805i
\(416\) 6.48588 + 0.0447581i 0.317996 + 0.00219445i
\(417\) 0.472227 0.926797i 0.0231250 0.0453854i
\(418\) 13.9862 6.55785i 0.684088 0.320755i
\(419\) −6.45788 + 12.6743i −0.315488 + 0.619180i −0.993236 0.116114i \(-0.962956\pi\)
0.677748 + 0.735295i \(0.262956\pi\)
\(420\) 0.161718 + 0.990372i 0.00789104 + 0.0483252i
\(421\) −2.12309 4.16681i −0.103473 0.203078i 0.833465 0.552572i \(-0.186353\pi\)
−0.936939 + 0.349494i \(0.886353\pi\)
\(422\) 21.5381 27.6877i 1.04846 1.34782i
\(423\) −1.91466 + 12.0887i −0.0930941 + 0.587773i
\(424\) 3.17273 12.1479i 0.154081 0.589956i
\(425\) −27.1833 20.4363i −1.31859 0.991307i
\(426\) 0.295368 0.138492i 0.0143106 0.00670997i
\(427\) 8.12148 + 11.1783i 0.393026 + 0.540954i
\(428\) 2.37603 1.49869i 0.114850 0.0724420i
\(429\) 0.360012 + 0.706564i 0.0173816 + 0.0341132i
\(430\) −17.6222 + 3.47430i −0.849820 + 0.167546i
\(431\) −14.8507 + 4.82529i −0.715334 + 0.232426i −0.643999 0.765026i \(-0.722726\pi\)
−0.0713347 + 0.997452i \(0.522726\pi\)
\(432\) −5.02067 + 0.929049i −0.241557 + 0.0446989i
\(433\) 2.09038 + 1.06510i 0.100457 + 0.0511855i 0.503497 0.863997i \(-0.332046\pi\)
−0.403040 + 0.915182i \(0.632046\pi\)
\(434\) 7.63820 + 11.2727i 0.366645 + 0.541107i
\(435\) −0.853227 0.740859i −0.0409091 0.0355215i
\(436\) 13.2782 + 15.1453i 0.635912 + 0.725327i
\(437\) −22.5487 16.3826i −1.07865 0.783684i
\(438\) 0.525743 + 0.775909i 0.0251210 + 0.0370744i
\(439\) 10.1477 + 13.9672i 0.484325 + 0.666617i 0.979329 0.202274i \(-0.0648332\pi\)
−0.495004 + 0.868891i \(0.664833\pi\)
\(440\) −11.5255 16.8358i −0.549459 0.802617i
\(441\) −10.2523 + 14.1111i −0.488205 + 0.671957i
\(442\) −11.0231 0.361643i −0.524314 0.0172016i
\(443\) 13.6635 0.649172 0.324586 0.945856i \(-0.394775\pi\)
0.324586 + 0.945856i \(0.394775\pi\)
\(444\) 0.185430 0.464593i 0.00880013 0.0220486i
\(445\) −8.73056 + 35.1003i −0.413868 + 1.66391i
\(446\) −20.0044 15.5613i −0.947235 0.736847i
\(447\) −0.506842 0.994733i −0.0239728 0.0470493i
\(448\) −6.57332 5.18654i −0.310560 0.245041i
\(449\) 1.98752i 0.0937967i −0.998900 0.0468983i \(-0.985066\pi\)
0.998900 0.0468983i \(-0.0149337\pi\)
\(450\) 20.1589 5.47146i 0.950298 0.257927i
\(451\) 20.0991 20.0991i 0.946430 0.946430i
\(452\) −1.18540 1.35208i −0.0557566 0.0635964i
\(453\) 2.31413 + 0.751906i 0.108727 + 0.0353276i
\(454\) −30.3395 + 3.79024i −1.42391 + 0.177885i
\(455\) −2.02617 1.75933i −0.0949885 0.0824787i
\(456\) 1.53445 + 1.36413i 0.0718573 + 0.0638815i
\(457\) −14.5246 + 14.5246i −0.679432 + 0.679432i −0.959872 0.280440i \(-0.909520\pi\)
0.280440 + 0.959872i \(0.409520\pi\)
\(458\) −7.69903 0.252588i −0.359752 0.0118027i
\(459\) 8.57532 1.35820i 0.400262 0.0633952i
\(460\) −16.5558 + 32.8805i −0.771920 + 1.53306i
\(461\) 34.0114 + 5.38688i 1.58407 + 0.250892i 0.885497 0.464646i \(-0.153818\pi\)
0.698574 + 0.715538i \(0.253818\pi\)
\(462\) 0.193212 1.00531i 0.00898902 0.0467713i
\(463\) −0.0624423 0.394245i −0.00290194 0.0183221i 0.986195 0.165589i \(-0.0529525\pi\)
−0.989097 + 0.147267i \(0.952952\pi\)
\(464\) 9.42543 0.244129i 0.437564 0.0113334i
\(465\) −3.37675 + 2.83666i −0.156593 + 0.131547i
\(466\) −23.8395 + 16.1533i −1.10434 + 0.748286i
\(467\) −7.42191 22.8423i −0.343445 1.05702i −0.962411 0.271597i \(-0.912448\pi\)
0.618966 0.785418i \(-0.287552\pi\)
\(468\) 4.33235 5.20758i 0.200263 0.240720i
\(469\) 2.15218 4.22390i 0.0993786 0.195041i
\(470\) −8.09407 10.3031i −0.373352 0.475246i
\(471\) −1.15757 + 3.56263i −0.0533379 + 0.164157i
\(472\) 8.97397 + 40.9428i 0.413060 + 1.88454i
\(473\) 18.0978 + 2.86641i 0.832138 + 0.131798i
\(474\) 3.21769 1.50871i 0.147793 0.0692973i
\(475\) −13.5319 10.1732i −0.620886 0.466780i
\(476\) 10.9453 + 9.10577i 0.501678 + 0.417362i
\(477\) −7.70763 10.6086i −0.352908 0.485736i
\(478\) −6.72766 + 0.840469i −0.307716 + 0.0384422i
\(479\) 5.94509 18.2971i 0.271638 0.836016i −0.718451 0.695577i \(-0.755149\pi\)
0.990089 0.140439i \(-0.0448513\pi\)
\(480\) 1.45160 2.29060i 0.0662561 0.104551i
\(481\) 0.413357 + 1.27218i 0.0188475 + 0.0580065i
\(482\) −1.25275 2.67181i −0.0570614 0.121697i
\(483\) −1.75668 + 0.570781i −0.0799319 + 0.0259714i
\(484\) −0.291732 1.14938i −0.0132606 0.0522447i
\(485\) 12.1783 28.7351i 0.552988 1.30479i
\(486\) −3.87316 + 7.02227i −0.175690 + 0.318537i
\(487\) 4.35731 + 27.5109i 0.197448 + 1.24664i 0.864884 + 0.501972i \(0.167392\pi\)
−0.667435 + 0.744668i \(0.732608\pi\)
\(488\) 3.66782 37.1587i 0.166034 1.68209i
\(489\) −1.74345 + 1.26669i −0.0788416 + 0.0572818i
\(490\) −3.61171 18.3192i −0.163160 0.827577i
\(491\) −3.02814 19.1189i −0.136658 0.862824i −0.956817 0.290689i \(-0.906115\pi\)
0.820159 0.572135i \(-0.193885\pi\)
\(492\) 3.50882 + 1.40046i 0.158190 + 0.0631374i
\(493\) −16.0326 −0.722072
\(494\) −5.48730 0.180027i −0.246885 0.00809978i
\(495\) −21.2291 1.84530i −0.954176 0.0829400i
\(496\) 4.81347 36.4817i 0.216131 1.63808i
\(497\) 1.00341 0.511261i 0.0450089 0.0229332i
\(498\) −1.92677 1.06272i −0.0863407 0.0476215i
\(499\) −11.5940 11.5940i −0.519019 0.519019i 0.398255 0.917275i \(-0.369616\pi\)
−0.917275 + 0.398255i \(0.869616\pi\)
\(500\) −10.3809 + 19.8049i −0.464250 + 0.885704i
\(501\) −0.729068 + 0.729068i −0.0325724 + 0.0325724i
\(502\) 4.04354 + 13.9900i 0.180472 + 0.624404i
\(503\) −0.231458 0.454262i −0.0103202 0.0202545i 0.885789 0.464088i \(-0.153618\pi\)
−0.896109 + 0.443834i \(0.853618\pi\)
\(504\) −8.54216 + 1.87230i −0.380498 + 0.0833987i
\(505\) 1.57894 18.1648i 0.0702619 0.808322i
\(506\) 27.4120 25.6705i 1.21861 1.14119i
\(507\) 2.50521i 0.111260i
\(508\) −4.19864 + 1.80317i −0.186284 + 0.0800027i
\(509\) −11.3696 + 1.80077i −0.503949 + 0.0798177i −0.403233 0.915097i \(-0.632113\pi\)
−0.100716 + 0.994915i \(0.532113\pi\)
\(510\) −2.56836 + 3.82978i −0.113729 + 0.169585i
\(511\) 1.90175 + 2.61754i 0.0841286 + 0.115793i
\(512\) 3.96355 + 22.2776i 0.175166 + 0.984539i
\(513\) 4.26880 0.676112i 0.188472 0.0298511i
\(514\) −3.97433 13.7505i −0.175300 0.606510i
\(515\) −17.2379 7.30566i −0.759594 0.321926i
\(516\) 0.599150 + 2.36057i 0.0263761 + 0.103918i
\(517\) 4.13039 + 12.7120i 0.181654 + 0.559074i
\(518\) 0.587185 1.62393i 0.0257994 0.0713515i
\(519\) 3.58147 1.16369i 0.157209 0.0510803i
\(520\) 0.933338 + 7.19129i 0.0409296 + 0.315359i
\(521\) 2.19656 + 0.713707i 0.0962332 + 0.0312681i 0.356738 0.934205i \(-0.383889\pi\)
−0.260505 + 0.965473i \(0.583889\pi\)
\(522\) 6.04622 7.77257i 0.264636 0.340196i
\(523\) 24.2318 17.6055i 1.05958 0.769833i 0.0855733 0.996332i \(-0.472728\pi\)
0.974012 + 0.226498i \(0.0727278\pi\)
\(524\) 0.102268 + 1.11472i 0.00446762 + 0.0486968i
\(525\) −1.07254 + 0.329226i −0.0468096 + 0.0143686i
\(526\) 24.9667 + 9.02751i 1.08860 + 0.393618i
\(527\) −9.78841 + 61.8016i −0.426390 + 2.69212i
\(528\) −2.19527 + 1.68350i −0.0955368 + 0.0732648i
\(529\) −42.5702 13.8319i −1.85088 0.601387i
\(530\) 13.9373 + 1.67350i 0.605396 + 0.0726920i
\(531\) 39.0048 + 19.8740i 1.69267 + 0.862456i
\(532\) 5.44860 + 4.53286i 0.236227 + 0.196524i
\(533\) −9.60811 + 3.12186i −0.416173 + 0.135223i
\(534\) 4.81616 + 0.925622i 0.208416 + 0.0400556i
\(535\) 2.02020 + 2.40484i 0.0873411 + 0.103970i
\(536\) −11.9308 + 4.66667i −0.515330 + 0.201569i
\(537\) 3.74843 0.593694i 0.161757 0.0256198i
\(538\) −14.9398 22.0486i −0.644099 0.950583i
\(539\) −2.97978 + 18.8136i −0.128348 + 0.810358i
\(540\) −1.78999 5.42068i −0.0770290 0.233269i
\(541\) −5.67754 35.8466i −0.244097 1.54117i −0.739891 0.672726i \(-0.765123\pi\)
0.495795 0.868440i \(-0.334877\pi\)
\(542\) −7.96628 8.50672i −0.342181 0.365395i
\(543\) 1.49956 + 1.49956i 0.0643522 + 0.0643522i
\(544\) −5.75662 38.0431i −0.246813 1.63109i
\(545\) −14.7644 + 17.0037i −0.632437 + 0.728360i
\(546\) −0.223400 + 0.287186i −0.00956063 + 0.0122904i
\(547\) 9.97328 30.6946i 0.426427 1.31241i −0.475195 0.879881i \(-0.657622\pi\)
0.901621 0.432526i \(-0.142378\pi\)
\(548\) −3.18524 3.63311i −0.136067 0.155199i
\(549\) −27.5754 27.5754i −1.17689 1.17689i
\(550\) 16.9026 15.3184i 0.720731 0.653181i
\(551\) −7.98105 −0.340004
\(552\) 4.57278 + 2.00134i 0.194630 + 0.0851826i
\(553\) 10.9309 5.56959i 0.464831 0.236843i
\(554\) 17.0066 2.12460i 0.722543 0.0902655i
\(555\) 0.542738 + 0.134996i 0.0230379 + 0.00573027i
\(556\) −8.91611 + 3.82916i −0.378127 + 0.162393i
\(557\) 6.84885i 0.290195i −0.989417 0.145097i \(-0.953650\pi\)
0.989417 0.145097i \(-0.0463496\pi\)
\(558\) −26.2699 28.0520i −1.11209 1.18754i
\(559\) −5.26870 3.82794i −0.222842 0.161904i
\(560\) 4.74904 8.06737i 0.200683 0.340909i
\(561\) 3.80576 2.76504i 0.160679 0.116740i
\(562\) 21.6365 + 4.15833i 0.912679 + 0.175409i
\(563\) −5.33560 + 7.34383i −0.224869 + 0.309505i −0.906513 0.422179i \(-0.861265\pi\)
0.681644 + 0.731684i \(0.261265\pi\)
\(564\) −1.33584 + 1.17117i −0.0562491 + 0.0493150i
\(565\) 1.31807 1.51799i 0.0554518 0.0638624i
\(566\) −6.53844 + 34.0205i −0.274831 + 1.42999i
\(567\) −4.08091 + 8.00924i −0.171382 + 0.336357i
\(568\) −2.94453 0.769037i −0.123550 0.0322681i
\(569\) 6.62952 + 20.4036i 0.277924 + 0.855362i 0.988431 + 0.151672i \(0.0484656\pi\)
−0.710507 + 0.703690i \(0.751534\pi\)
\(570\) −1.27853 + 1.90647i −0.0535518 + 0.0798531i
\(571\) 21.7428 11.0785i 0.909909 0.463622i 0.0646069 0.997911i \(-0.479421\pi\)
0.845302 + 0.534289i \(0.179421\pi\)
\(572\) 1.63369 7.21509i 0.0683079 0.301678i
\(573\) −0.0431801 + 0.0313722i −0.00180387 + 0.00131059i
\(574\) 12.2647 + 4.43469i 0.511918 + 0.185100i
\(575\) −38.9312 13.3562i −1.62354 0.556993i
\(576\) 20.6142 + 11.5560i 0.858923 + 0.481502i
\(577\) 17.8343 + 2.82468i 0.742452 + 0.117593i 0.516191 0.856474i \(-0.327350\pi\)
0.226262 + 0.974067i \(0.427350\pi\)
\(578\) 5.13015 + 41.0650i 0.213386 + 1.70808i
\(579\) −2.80172 + 1.42755i −0.116435 + 0.0593268i
\(580\) 1.69882 + 10.4037i 0.0705398 + 0.431990i
\(581\) −6.76806 3.44850i −0.280786 0.143068i
\(582\) −3.97954 1.43893i −0.164957 0.0596456i
\(583\) −12.7594 6.50126i −0.528442 0.269255i
\(584\) 0.858869 8.70120i 0.0355403 0.360058i
\(585\) 6.42507 + 4.00982i 0.265644 + 0.165786i
\(586\) −0.0664070 + 0.120400i −0.00274325 + 0.00497367i
\(587\) 14.5999 20.0950i 0.602601 0.829409i −0.393343 0.919392i \(-0.628681\pi\)
0.995943 + 0.0899832i \(0.0286814\pi\)
\(588\) −2.45393 + 0.622846i −0.101198 + 0.0256857i
\(589\) −4.87268 + 30.7649i −0.200775 + 1.26765i
\(590\) −43.9930 + 16.1454i −1.81116 + 0.664694i
\(591\) 0.501040 0.689622i 0.0206100 0.0283673i
\(592\) −4.10170 + 2.22553i −0.168579 + 0.0914688i
\(593\) −0.225743 + 0.225743i −0.00927017 + 0.00927017i −0.711727 0.702457i \(-0.752087\pi\)
0.702457 + 0.711727i \(0.252087\pi\)
\(594\) −0.190957 + 5.82048i −0.00783508 + 0.238817i
\(595\) −8.42786 + 13.5043i −0.345509 + 0.553621i
\(596\) −2.29998 + 10.1577i −0.0942109 + 0.416077i
\(597\) 0.261672 0.805345i 0.0107095 0.0329606i
\(598\) −12.8229 + 3.70622i −0.524368 + 0.151559i
\(599\) 0.826803i 0.0337823i 0.999857 + 0.0168911i \(0.00537687\pi\)
−0.999857 + 0.0168911i \(0.994623\pi\)
\(600\) 2.75732 + 1.26082i 0.112567 + 0.0514729i
\(601\) 0.970911i 0.0396043i 0.999804 + 0.0198022i \(0.00630363\pi\)
−0.999804 + 0.0198022i \(0.993696\pi\)
\(602\) 2.33440 + 8.07663i 0.0951428 + 0.329179i
\(603\) −4.13461 + 12.7250i −0.168374 + 0.518203i
\(604\) −12.1099 19.1990i −0.492743 0.781197i
\(605\) 1.22898 0.497342i 0.0499651 0.0202198i
\(606\) −2.47094 0.0810663i −0.100375 0.00329309i
\(607\) 26.4522 26.4522i 1.07366 1.07366i 0.0765996 0.997062i \(-0.475594\pi\)
0.997062 0.0765996i \(-0.0244063\pi\)
\(608\) −2.86565 18.9379i −0.116218 0.768034i
\(609\) −0.310887 + 0.427899i −0.0125978 + 0.0173394i
\(610\) 41.7171 1.56840i 1.68908 0.0635025i
\(611\) 0.743157 4.69211i 0.0300649 0.189822i
\(612\) −34.5323 20.5512i −1.39588 0.830733i
\(613\) 9.20625 12.6713i 0.371837 0.511789i −0.581562 0.813502i \(-0.697558\pi\)
0.953399 + 0.301713i \(0.0975583\pi\)
\(614\) 5.35733 + 2.95485i 0.216204 + 0.119248i
\(615\) −1.01955 + 4.09901i −0.0411124 + 0.165288i
\(616\) −7.38358 + 6.05691i −0.297493 + 0.244040i
\(617\) 40.8982 + 20.8387i 1.64650 + 0.838933i 0.996902 + 0.0786548i \(0.0250625\pi\)
0.649597 + 0.760278i \(0.274937\pi\)
\(618\) −0.863202 + 2.38729i −0.0347231 + 0.0960310i
\(619\) 3.60182 + 1.83522i 0.144769 + 0.0737637i 0.524875 0.851180i \(-0.324112\pi\)
−0.380105 + 0.924943i \(0.624112\pi\)
\(620\) 41.1408 0.196746i 1.65225 0.00790152i
\(621\) 9.36233 4.77034i 0.375697 0.191427i
\(622\) −31.8086 + 3.97376i −1.27541 + 0.159333i
\(623\) 16.7215 + 2.64843i 0.669935 + 0.106107i
\(624\) 0.966841 0.178909i 0.0387046 0.00716208i
\(625\) −23.5115 8.49775i −0.940458 0.339910i
\(626\) −4.43648 + 12.2696i −0.177317 + 0.490393i
\(627\) 1.89451 1.37644i 0.0756595 0.0549698i
\(628\) 29.5571 18.6433i 1.17946 0.743948i
\(629\) 7.07028 3.60249i 0.281911 0.143641i
\(630\) −3.36851 9.17854i −0.134205 0.365682i
\(631\) 9.51101 + 29.2719i 0.378627 + 1.16529i 0.940999 + 0.338410i \(0.109889\pi\)
−0.562372 + 0.826885i \(0.690111\pi\)
\(632\) −32.0772 8.37775i −1.27596 0.333249i
\(633\) 2.41420 4.73814i 0.0959559 0.188324i
\(634\) 23.3326 + 4.48432i 0.926657 + 0.178095i
\(635\) −2.63369 4.37763i −0.104515 0.173721i
\(636\) 0.124755 1.89925i 0.00494686 0.0753103i
\(637\) 3.97933 5.47708i 0.157667 0.217010i
\(638\) 2.02966 10.5606i 0.0803549 0.418099i
\(639\) −2.57143 + 1.86825i −0.101724 + 0.0739068i
\(640\) −24.0765 + 7.76659i −0.951709 + 0.307001i
\(641\) 33.8370 + 24.5840i 1.33648 + 0.971009i 0.999566 + 0.0294739i \(0.00938320\pi\)
0.336914 + 0.941535i \(0.390617\pi\)
\(642\) 0.310842 0.291094i 0.0122680 0.0114886i
\(643\) 27.5924i 1.08814i −0.839041 0.544068i \(-0.816883\pi\)
0.839041 0.544068i \(-0.183117\pi\)
\(644\) 16.0036 + 6.38743i 0.630630 + 0.251700i
\(645\) −2.52404 + 1.02142i −0.0993838 + 0.0402186i
\(646\) 4.03739 + 32.3179i 0.158849 + 1.27153i
\(647\) 8.59821 4.38101i 0.338031 0.172235i −0.276733 0.960947i \(-0.589252\pi\)
0.614763 + 0.788712i \(0.289252\pi\)
\(648\) 22.6228 8.84882i 0.888707 0.347614i
\(649\) 47.8064 1.87657
\(650\) −7.82446 + 2.12369i −0.306901 + 0.0832981i
\(651\) 1.45964 + 1.45964i 0.0572077 + 0.0572077i
\(652\) 20.0607 + 1.31771i 0.785637 + 0.0516057i
\(653\) −12.6175 + 38.8326i −0.493760 + 1.51964i 0.325121 + 0.945672i \(0.394595\pi\)
−0.818881 + 0.573963i \(0.805405\pi\)
\(654\) 2.41008 + 1.87478i 0.0942415 + 0.0733097i
\(655\) −1.21929 + 0.282217i −0.0476418 + 0.0110271i
\(656\) −16.8083 30.9780i −0.656252 1.20949i
\(657\) −6.45715 6.45715i −0.251917 0.251917i
\(658\) −4.47637 + 4.19198i −0.174507 + 0.163420i
\(659\) −0.910531 5.74887i −0.0354692 0.223944i 0.963586 0.267398i \(-0.0861638\pi\)
−0.999055 + 0.0434539i \(0.986164\pi\)
\(660\) −2.19752 2.17660i −0.0855384 0.0847242i
\(661\) 1.28020 8.08286i 0.0497940 0.314387i −0.950202 0.311634i \(-0.899124\pi\)
0.999996 0.00275296i \(-0.000876296\pi\)
\(662\) 7.40649 5.01852i 0.287862 0.195050i
\(663\) −1.65136 + 0.261550i −0.0641337 + 0.0101578i
\(664\) 7.47753 + 19.1170i 0.290184 + 0.741882i
\(665\) −4.19540 + 6.72244i −0.162691 + 0.260685i
\(666\) −0.919870 + 4.78623i −0.0356442 + 0.185463i
\(667\) −18.4537 + 5.99596i −0.714529 + 0.232165i
\(668\) 9.57837 0.878754i 0.370598 0.0340000i
\(669\) −3.42331 1.74426i −0.132353 0.0674370i
\(670\) −6.97741 12.5087i −0.269561 0.483252i
\(671\) −40.5034 13.1604i −1.56362 0.508050i
\(672\) −1.12697 0.584052i −0.0434739 0.0225303i
\(673\) 4.35550 27.4995i 0.167892 1.06003i −0.749488 0.662018i \(-0.769700\pi\)
0.917380 0.398012i \(-0.130300\pi\)
\(674\) −13.4978 + 37.3299i −0.519916 + 1.43789i
\(675\) 5.73331 2.80429i 0.220675 0.107937i
\(676\) 14.9467 17.9663i 0.574873 0.691010i
\(677\) 30.6083 22.2383i 1.17637 0.854686i 0.184616 0.982811i \(-0.440896\pi\)
0.991758 + 0.128125i \(0.0408959\pi\)
\(678\) −0.215157 0.167369i −0.00826306 0.00642777i
\(679\) −13.8931 4.51416i −0.533170 0.173237i
\(680\) 41.2686 12.1420i 1.58258 0.465625i
\(681\) −4.40824 + 1.43232i −0.168924 + 0.0548867i
\(682\) −39.4694 14.2714i −1.51136 0.546481i
\(683\) −7.77776 23.9375i −0.297608 0.915942i −0.982333 0.187141i \(-0.940078\pi\)
0.684725 0.728801i \(-0.259922\pi\)
\(684\) −17.1902 10.2304i −0.657284 0.391170i
\(685\) 3.54174 4.07893i 0.135323 0.155848i
\(686\) −18.3498 + 5.30366i −0.700599 + 0.202495i
\(687\) −1.15339 + 0.182679i −0.0440046 + 0.00696964i
\(688\) 9.78690 20.5036i 0.373122 0.781694i
\(689\) 2.99164 + 4.11764i 0.113972 + 0.156870i
\(690\) −1.52392 + 5.36864i −0.0580147 + 0.204381i
\(691\) −4.66716 + 0.739205i −0.177547 + 0.0281207i −0.244575 0.969630i \(-0.578648\pi\)
0.0670278 + 0.997751i \(0.478648\pi\)
\(692\) −32.6276 13.0225i −1.24032 0.495040i
\(693\) 9.97416i 0.378887i
\(694\) −21.5152 22.9748i −0.816704 0.872110i
\(695\) −5.59283 9.29621i −0.212148 0.352626i
\(696\) 1.39619 0.306021i 0.0529224 0.0115997i
\(697\) 27.2077 + 53.3981i 1.03056 + 2.02260i
\(698\) −21.4762 + 6.20729i −0.812887 + 0.234950i
\(699\) −3.08684 + 3.08684i −0.116755 + 0.116755i
\(700\) 9.65605 + 4.03800i 0.364964 + 0.152622i
\(701\) −18.8814 18.8814i −0.713141 0.713141i 0.254050 0.967191i \(-0.418237\pi\)
−0.967191 + 0.254050i \(0.918237\pi\)
\(702\) 0.999645 1.81242i 0.0377292 0.0684053i
\(703\) 3.51960 1.79332i 0.132744 0.0676365i
\(704\) 25.7877 + 1.02423i 0.971910 + 0.0386020i
\(705\) −1.49976 1.30225i −0.0564843 0.0490454i
\(706\) 1.03356 31.5035i 0.0388986 1.18565i
\(707\) −8.53445 −0.320971
\(708\) 2.50741 + 5.83844i 0.0942341 + 0.219422i
\(709\) 2.61487 + 16.5097i 0.0982036 + 0.620033i 0.986875 + 0.161488i \(0.0516293\pi\)
−0.888671 + 0.458545i \(0.848371\pi\)
\(710\) 0.405638 3.37825i 0.0152233 0.126784i
\(711\) −28.0127 + 20.3524i −1.05056 + 0.763274i
\(712\) −29.0169 35.3726i −1.08745 1.32564i
\(713\) 11.8464 + 74.7950i 0.443650 + 2.80109i
\(714\) 1.88997 + 1.04242i 0.0707305 + 0.0390116i
\(715\) 8.23985 + 0.716234i 0.308153 + 0.0267856i
\(716\) −30.4243 18.1064i −1.13701 0.676668i
\(717\) −0.977506 + 0.317611i −0.0365056 + 0.0118614i
\(718\) 45.1034 21.1481i 1.68325 0.789239i
\(719\) 0.194615 + 0.598965i 0.00725793 + 0.0223376i 0.954620 0.297827i \(-0.0962618\pi\)
−0.947362 + 0.320164i \(0.896262\pi\)
\(720\) −9.67679 + 24.5859i −0.360633 + 0.916263i
\(721\) −2.70800 + 8.33437i −0.100851 + 0.310388i
\(722\) −1.32110 10.5749i −0.0491662 0.393558i
\(723\) −0.262944 0.361911i −0.00977898 0.0134596i
\(724\) −1.80743 19.7009i −0.0671727 0.732179i
\(725\) −11.2669 + 3.45846i −0.418441 + 0.128444i
\(726\) −0.0763163 0.162763i −0.00283236 0.00604070i
\(727\) −41.4760 6.56915i −1.53826 0.243636i −0.670986 0.741470i \(-0.734129\pi\)
−0.867272 + 0.497834i \(0.834129\pi\)
\(728\) 3.31555 0.726713i 0.122883 0.0269338i
\(729\) 7.58625 23.3481i 0.280972 0.864744i
\(730\) 9.76862 0.367261i 0.361553 0.0135929i
\(731\) −17.5390 + 34.4223i −0.648705 + 1.27315i
\(732\) −0.517140 5.63679i −0.0191140 0.208342i
\(733\) 4.50352 + 13.8604i 0.166341 + 0.511946i 0.999133 0.0416413i \(-0.0132587\pi\)
−0.832791 + 0.553587i \(0.813259\pi\)
\(734\) −26.0903 38.5049i −0.963009 1.42124i
\(735\) −1.06182 2.62386i −0.0391659 0.0967826i
\(736\) −20.8535 41.6351i −0.768671 1.53469i
\(737\) 2.28578 + 14.4318i 0.0841976 + 0.531603i
\(738\) −36.1478 6.94728i −1.33062 0.255733i
\(739\) −40.1601 6.36074i −1.47731 0.233984i −0.634808 0.772670i \(-0.718921\pi\)
−0.842506 + 0.538687i \(0.818921\pi\)
\(740\) −3.08686 4.20625i −0.113475 0.154625i
\(741\) −0.822051 + 0.130200i −0.0301988 + 0.00478302i
\(742\) 0.215447 6.56695i 0.00790932 0.241080i
\(743\) −30.9050 + 30.9050i −1.13380 + 1.13380i −0.144256 + 0.989540i \(0.546079\pi\)
−0.989540 + 0.144256i \(0.953921\pi\)
\(744\) −0.327216 5.56879i −0.0119963 0.204162i
\(745\) −11.6004 1.00835i −0.425007 0.0369430i
\(746\) 1.45902 + 11.6789i 0.0534185 + 0.427596i
\(747\) 20.3897 + 6.62500i 0.746019 + 0.242396i
\(748\) −43.7902 2.87642i −1.60113 0.105172i
\(749\) 1.03952 1.03952i 0.0379833 0.0379833i
\(750\) −0.978769 + 3.24540i −0.0357396 + 0.118505i
\(751\) 46.1867i 1.68538i −0.538403 0.842688i \(-0.680972\pi\)
0.538403 0.842688i \(-0.319028\pi\)
\(752\) 16.5676 0.429118i 0.604156 0.0156483i
\(753\) 1.00224 + 1.96701i 0.0365238 + 0.0716820i
\(754\) −2.34678 + 3.01684i −0.0854647 + 0.109867i
\(755\) 19.4318 16.3238i 0.707197 0.594086i
\(756\) −2.45517 + 1.05441i −0.0892938 + 0.0383486i
\(757\) 37.9755 1.38024 0.690121 0.723694i \(-0.257557\pi\)
0.690121 + 0.723694i \(0.257557\pi\)
\(758\) −0.296775 + 9.04586i −0.0107794 + 0.328560i
\(759\) 3.34638 4.60589i 0.121466 0.167183i
\(760\) 20.5435 6.04432i 0.745193 0.219250i
\(761\) 1.78151 + 2.45204i 0.0645799 + 0.0888865i 0.840085 0.542454i \(-0.182505\pi\)
−0.775505 + 0.631341i \(0.782505\pi\)
\(762\) −0.573464 + 0.388570i −0.0207744 + 0.0140764i
\(763\) 8.52749 + 6.19559i 0.308716 + 0.224295i
\(764\) 0.496843 + 0.0326358i 0.0179752 + 0.00118072i
\(765\) 17.5316 41.3664i 0.633856 1.49561i
\(766\) −21.7370 + 14.7286i −0.785390 + 0.532167i
\(767\) −15.1393 7.71388i −0.546650 0.278532i
\(768\) 1.22746 + 3.20308i 0.0442920 + 0.115581i
\(769\) −2.62150 + 0.851778i −0.0945339 + 0.0307159i −0.355902 0.934523i \(-0.615826\pi\)
0.261368 + 0.965239i \(0.415826\pi\)
\(770\) −7.82829 7.26099i −0.282112 0.261668i
\(771\) −0.985088 1.93334i −0.0354771 0.0696277i
\(772\) 28.6098 + 6.47802i 1.02969 + 0.233149i