Properties

Label 475.2.v.b.113.38
Level $475$
Weight $2$
Character 475.113
Analytic conductor $3.793$
Analytic rank $0$
Dimension $368$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.v (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(368\)
Relative dimension: \(46\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 113.38
Character \(\chi\) \(=\) 475.113
Dual form 475.2.v.b.227.38

$q$-expansion

\(f(q)\) \(=\) \(q+(0.307848 + 1.94368i) q^{2} +(-1.17623 - 0.599319i) q^{3} +(-1.78099 + 0.578679i) q^{4} +(1.54688 + 1.61467i) q^{5} +(0.802782 - 2.47071i) q^{6} +(1.03104 - 1.03104i) q^{7} +(0.113781 + 0.223308i) q^{8} +(-0.739023 - 1.01718i) q^{9} +O(q^{10})\) \(q+(0.307848 + 1.94368i) q^{2} +(-1.17623 - 0.599319i) q^{3} +(-1.78099 + 0.578679i) q^{4} +(1.54688 + 1.61467i) q^{5} +(0.802782 - 2.47071i) q^{6} +(1.03104 - 1.03104i) q^{7} +(0.113781 + 0.223308i) q^{8} +(-0.739023 - 1.01718i) q^{9} +(-2.66218 + 3.50371i) q^{10} +(4.78165 + 3.47408i) q^{11} +(2.44167 + 0.386722i) q^{12} +(0.338705 - 2.13850i) q^{13} +(2.32141 + 1.68660i) q^{14} +(-0.851790 - 2.82630i) q^{15} +(-3.42901 + 2.49132i) q^{16} +(0.948191 + 1.86093i) q^{17} +(1.74956 - 1.74956i) q^{18} +(-0.704317 + 4.30162i) q^{19} +(-3.68936 - 1.98056i) q^{20} +(-1.83066 + 0.594818i) q^{21} +(-5.28045 + 10.3635i) q^{22} +(-0.733866 - 4.63345i) q^{23} -0.330852i q^{24} +(-0.214302 + 4.99541i) q^{25} +4.26082 q^{26} +(0.879180 + 5.55093i) q^{27} +(-1.23963 + 2.43291i) q^{28} +(0.471434 + 1.45093i) q^{29} +(5.23118 - 2.52567i) q^{30} +(-3.97517 - 1.29161i) q^{31} +(-5.54350 - 5.54350i) q^{32} +(-3.54224 - 6.95205i) q^{33} +(-3.32514 + 2.41586i) q^{34} +(3.25969 + 0.0698878i) q^{35} +(1.90481 + 1.38393i) q^{36} +(1.85614 + 0.293984i) q^{37} +(-8.57778 - 0.0447190i) q^{38} +(-1.68004 + 2.31238i) q^{39} +(-0.184562 + 0.529149i) q^{40} +(2.82273 + 3.88515i) q^{41} +(-1.71970 - 3.37510i) q^{42} +(-4.99176 - 4.99176i) q^{43} +(-10.5265 - 3.42025i) q^{44} +(0.499221 - 2.76673i) q^{45} +(8.78000 - 2.85279i) q^{46} +(-6.10591 - 3.11112i) q^{47} +(5.52640 - 0.875296i) q^{48} +4.87391i q^{49} +(-9.77542 + 1.12129i) q^{50} -2.75715i q^{51} +(0.634275 + 4.00465i) q^{52} +(-1.09989 - 0.560421i) q^{53} +(-10.5185 + 3.41768i) q^{54} +(1.78719 + 13.0948i) q^{55} +(0.347552 + 0.112927i) q^{56} +(3.40648 - 4.63758i) q^{57} +(-2.67500 + 1.36298i) q^{58} +(8.43827 - 6.13076i) q^{59} +(3.15255 + 4.54069i) q^{60} +(4.48510 + 3.25861i) q^{61} +(1.28673 - 8.12407i) q^{62} +(-1.81071 - 0.286789i) q^{63} +(4.08557 - 5.62330i) q^{64} +(3.97691 - 2.76112i) q^{65} +(12.4220 - 9.02515i) q^{66} +(12.8117 - 6.52789i) q^{67} +(-2.76560 - 2.76560i) q^{68} +(-1.91372 + 5.88982i) q^{69} +(0.867649 + 6.35729i) q^{70} +(-1.28638 + 0.417971i) q^{71} +(0.143057 - 0.280765i) q^{72} +(-0.885497 - 5.59081i) q^{73} +3.69824i q^{74} +(3.24591 - 5.74731i) q^{75} +(-1.23487 - 8.06872i) q^{76} +(8.51199 - 1.34817i) q^{77} +(-5.01171 - 2.55359i) q^{78} +(-4.05032 - 12.4656i) q^{79} +(-9.32694 - 1.68293i) q^{80} +(1.12708 - 3.46878i) q^{81} +(-6.68250 + 6.68250i) q^{82} +(8.54123 - 4.35197i) q^{83} +(2.91618 - 2.11873i) q^{84} +(-1.53804 + 4.40965i) q^{85} +(8.16566 - 11.2391i) q^{86} +(0.315052 - 1.98916i) q^{87} +(-0.231727 + 1.46306i) q^{88} +(9.38533 + 6.81884i) q^{89} +(5.53131 + 0.118591i) q^{90} +(-1.85566 - 2.55410i) q^{91} +(3.98829 + 7.82745i) q^{92} +(3.90163 + 3.90163i) q^{93} +(4.16731 - 12.8257i) q^{94} +(-8.03518 + 5.51687i) q^{95} +(3.19811 + 9.84276i) q^{96} +(0.186253 - 0.365542i) q^{97} +(-9.47330 + 1.50042i) q^{98} -7.43121i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 368q - 20q^{4} - 16q^{5} - 12q^{6} - 8q^{7} - 20q^{9} + O(q^{10}) \) \( 368q - 20q^{4} - 16q^{5} - 12q^{6} - 8q^{7} - 20q^{9} - 12q^{11} + 56q^{16} + 20q^{17} + 10q^{19} - 52q^{20} + 32q^{23} - 16q^{25} - 32q^{26} - 40q^{28} - 60q^{30} - 84q^{35} - 96q^{36} + 16q^{38} - 100q^{39} - 20q^{42} + 56q^{43} - 160q^{44} + 100q^{45} - 56q^{47} - 20q^{54} + 20q^{55} + 70q^{57} - 72q^{58} - 12q^{61} + 72q^{62} - 160q^{63} + 40q^{64} + 36q^{66} + 176q^{68} - 48q^{73} - 32q^{76} - 156q^{77} + 288q^{80} + 16q^{81} - 108q^{82} + 136q^{83} - 88q^{85} + 152q^{87} - 200q^{92} - 164q^{93} + 46q^{95} + 44q^{96} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{19}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.307848 + 1.94368i 0.217681 + 1.37439i 0.818273 + 0.574830i \(0.194932\pi\)
−0.600592 + 0.799556i \(0.705068\pi\)
\(3\) −1.17623 0.599319i −0.679097 0.346017i 0.0801843 0.996780i \(-0.474449\pi\)
−0.759281 + 0.650763i \(0.774449\pi\)
\(4\) −1.78099 + 0.578679i −0.890495 + 0.289339i
\(5\) 1.54688 + 1.61467i 0.691787 + 0.722101i
\(6\) 0.802782 2.47071i 0.327734 1.00866i
\(7\) 1.03104 1.03104i 0.389697 0.389697i −0.484883 0.874579i \(-0.661138\pi\)
0.874579 + 0.484883i \(0.161138\pi\)
\(8\) 0.113781 + 0.223308i 0.0402276 + 0.0789512i
\(9\) −0.739023 1.01718i −0.246341 0.339059i
\(10\) −2.66218 + 3.50371i −0.841857 + 1.10797i
\(11\) 4.78165 + 3.47408i 1.44172 + 1.04747i 0.987679 + 0.156494i \(0.0500191\pi\)
0.454044 + 0.890979i \(0.349981\pi\)
\(12\) 2.44167 + 0.386722i 0.704849 + 0.111637i
\(13\) 0.338705 2.13850i 0.0939400 0.593114i −0.895146 0.445773i \(-0.852929\pi\)
0.989086 0.147340i \(-0.0470713\pi\)
\(14\) 2.32141 + 1.68660i 0.620423 + 0.450764i
\(15\) −0.851790 2.82630i −0.219931 0.729747i
\(16\) −3.42901 + 2.49132i −0.857253 + 0.622831i
\(17\) 0.948191 + 1.86093i 0.229970 + 0.451342i 0.976939 0.213517i \(-0.0684918\pi\)
−0.746969 + 0.664858i \(0.768492\pi\)
\(18\) 1.74956 1.74956i 0.412374 0.412374i
\(19\) −0.704317 + 4.30162i −0.161581 + 0.986859i
\(20\) −3.68936 1.98056i −0.824966 0.442866i
\(21\) −1.83066 + 0.594818i −0.399483 + 0.129800i
\(22\) −5.28045 + 10.3635i −1.12580 + 2.20950i
\(23\) −0.733866 4.63345i −0.153022 0.966140i −0.938005 0.346623i \(-0.887328\pi\)
0.784983 0.619517i \(-0.212672\pi\)
\(24\) 0.330852i 0.0675349i
\(25\) −0.214302 + 4.99541i −0.0428604 + 0.999081i
\(26\) 4.26082 0.835616
\(27\) 0.879180 + 5.55093i 0.169198 + 1.06828i
\(28\) −1.23963 + 2.43291i −0.234268 + 0.459778i
\(29\) 0.471434 + 1.45093i 0.0875431 + 0.269430i 0.985239 0.171186i \(-0.0547600\pi\)
−0.897696 + 0.440616i \(0.854760\pi\)
\(30\) 5.23118 2.52567i 0.955079 0.461123i
\(31\) −3.97517 1.29161i −0.713962 0.231980i −0.0705588 0.997508i \(-0.522478\pi\)
−0.643404 + 0.765527i \(0.722478\pi\)
\(32\) −5.54350 5.54350i −0.979962 0.979962i
\(33\) −3.54224 6.95205i −0.616626 1.21020i
\(34\) −3.32514 + 2.41586i −0.570257 + 0.414316i
\(35\) 3.25969 + 0.0698878i 0.550988 + 0.0118132i
\(36\) 1.90481 + 1.38393i 0.317469 + 0.230654i
\(37\) 1.85614 + 0.293984i 0.305148 + 0.0483306i 0.307131 0.951667i \(-0.400631\pi\)
−0.00198293 + 0.999998i \(0.500631\pi\)
\(38\) −8.57778 0.0447190i −1.39150 0.00725438i
\(39\) −1.68004 + 2.31238i −0.269022 + 0.370277i
\(40\) −0.184562 + 0.529149i −0.0291818 + 0.0836659i
\(41\) 2.82273 + 3.88515i 0.440836 + 0.606758i 0.970398 0.241513i \(-0.0776436\pi\)
−0.529562 + 0.848271i \(0.677644\pi\)
\(42\) −1.71970 3.37510i −0.265355 0.520789i
\(43\) −4.99176 4.99176i −0.761236 0.761236i 0.215310 0.976546i \(-0.430924\pi\)
−0.976546 + 0.215310i \(0.930924\pi\)
\(44\) −10.5265 3.42025i −1.58692 0.515622i
\(45\) 0.499221 2.76673i 0.0744195 0.412440i
\(46\) 8.78000 2.85279i 1.29454 0.420622i
\(47\) −6.10591 3.11112i −0.890639 0.453803i −0.0520981 0.998642i \(-0.516591\pi\)
−0.838541 + 0.544839i \(0.816591\pi\)
\(48\) 5.52640 0.875296i 0.797668 0.126338i
\(49\) 4.87391i 0.696273i
\(50\) −9.77542 + 1.12129i −1.38245 + 0.158575i
\(51\) 2.75715i 0.386078i
\(52\) 0.634275 + 4.00465i 0.0879581 + 0.555346i
\(53\) −1.09989 0.560421i −0.151081 0.0769798i 0.376815 0.926288i \(-0.377019\pi\)
−0.527897 + 0.849309i \(0.677019\pi\)
\(54\) −10.5185 + 3.41768i −1.43139 + 0.465088i
\(55\) 1.78719 + 13.0948i 0.240984 + 1.76570i
\(56\) 0.347552 + 0.112927i 0.0464436 + 0.0150904i
\(57\) 3.40648 4.63758i 0.451199 0.614263i
\(58\) −2.67500 + 1.36298i −0.351244 + 0.178968i
\(59\) 8.43827 6.13076i 1.09857 0.798157i 0.117744 0.993044i \(-0.462434\pi\)
0.980826 + 0.194887i \(0.0624339\pi\)
\(60\) 3.15255 + 4.54069i 0.406992 + 0.586201i
\(61\) 4.48510 + 3.25861i 0.574258 + 0.417223i 0.836649 0.547739i \(-0.184511\pi\)
−0.262392 + 0.964961i \(0.584511\pi\)
\(62\) 1.28673 8.12407i 0.163414 1.03176i
\(63\) −1.81071 0.286789i −0.228128 0.0361320i
\(64\) 4.08557 5.62330i 0.510696 0.702912i
\(65\) 3.97691 2.76112i 0.493275 0.342474i
\(66\) 12.4220 9.02515i 1.52905 1.11092i
\(67\) 12.8117 6.52789i 1.56520 0.797509i 0.565569 0.824701i \(-0.308657\pi\)
0.999630 + 0.0271926i \(0.00865675\pi\)
\(68\) −2.76560 2.76560i −0.335378 0.335378i
\(69\) −1.91372 + 5.88982i −0.230385 + 0.709051i
\(70\) 0.867649 + 6.35729i 0.103704 + 0.759841i
\(71\) −1.28638 + 0.417971i −0.152665 + 0.0496040i −0.384353 0.923186i \(-0.625575\pi\)
0.231687 + 0.972790i \(0.425575\pi\)
\(72\) 0.143057 0.280765i 0.0168594 0.0330885i
\(73\) −0.885497 5.59081i −0.103640 0.654355i −0.983744 0.179575i \(-0.942528\pi\)
0.880105 0.474780i \(-0.157472\pi\)
\(74\) 3.69824i 0.429911i
\(75\) 3.24591 5.74731i 0.374805 0.663642i
\(76\) −1.23487 8.06872i −0.141650 0.925545i
\(77\) 8.51199 1.34817i 0.970031 0.153638i
\(78\) −5.01171 2.55359i −0.567464 0.289137i
\(79\) −4.05032 12.4656i −0.455696 1.40249i −0.870316 0.492495i \(-0.836085\pi\)
0.414619 0.909995i \(-0.363915\pi\)
\(80\) −9.32694 1.68293i −1.04278 0.188157i
\(81\) 1.12708 3.46878i 0.125231 0.385420i
\(82\) −6.68250 + 6.68250i −0.737959 + 0.737959i
\(83\) 8.54123 4.35197i 0.937522 0.477691i 0.0826778 0.996576i \(-0.473653\pi\)
0.854844 + 0.518885i \(0.173653\pi\)
\(84\) 2.91618 2.11873i 0.318182 0.231173i
\(85\) −1.53804 + 4.40965i −0.166824 + 0.478294i
\(86\) 8.16566 11.2391i 0.880525 1.21194i
\(87\) 0.315052 1.98916i 0.0337771 0.213260i
\(88\) −0.231727 + 1.46306i −0.0247021 + 0.155963i
\(89\) 9.38533 + 6.81884i 0.994842 + 0.722795i 0.960976 0.276631i \(-0.0892180\pi\)
0.0338663 + 0.999426i \(0.489218\pi\)
\(90\) 5.53131 + 0.118591i 0.583051 + 0.0125006i
\(91\) −1.85566 2.55410i −0.194526 0.267743i
\(92\) 3.98829 + 7.82745i 0.415808 + 0.816068i
\(93\) 3.90163 + 3.90163i 0.404580 + 0.404580i
\(94\) 4.16731 12.8257i 0.429825 1.32287i
\(95\) −8.03518 + 5.51687i −0.824392 + 0.566019i
\(96\) 3.19811 + 9.84276i 0.326405 + 1.00457i
\(97\) 0.186253 0.365542i 0.0189111 0.0371152i −0.881358 0.472450i \(-0.843370\pi\)
0.900269 + 0.435334i \(0.143370\pi\)
\(98\) −9.47330 + 1.50042i −0.956948 + 0.151566i
\(99\) 7.43121i 0.746865i
\(100\) −2.50907 9.02078i −0.250907 0.902078i
\(101\) −8.72304 −0.867975 −0.433988 0.900919i \(-0.642894\pi\)
−0.433988 + 0.900919i \(0.642894\pi\)
\(102\) 5.35900 0.848783i 0.530620 0.0840420i
\(103\) −11.8061 6.01553i −1.16329 0.592728i −0.237735 0.971330i \(-0.576405\pi\)
−0.925559 + 0.378602i \(0.876405\pi\)
\(104\) 0.516082 0.167685i 0.0506060 0.0164429i
\(105\) −3.79226 2.03580i −0.370086 0.198673i
\(106\) 0.750678 2.31035i 0.0729123 0.224401i
\(107\) 0.471984 + 0.471984i 0.0456284 + 0.0456284i 0.729553 0.683924i \(-0.239728\pi\)
−0.683924 + 0.729553i \(0.739728\pi\)
\(108\) −4.77802 9.37738i −0.459765 0.902339i
\(109\) 10.8569 7.88801i 1.03990 0.755534i 0.0696369 0.997572i \(-0.477816\pi\)
0.970267 + 0.242038i \(0.0778159\pi\)
\(110\) −24.9018 + 7.50491i −2.37429 + 0.715565i
\(111\) −2.00706 1.45821i −0.190501 0.138407i
\(112\) −0.966795 + 6.10411i −0.0913536 + 0.576784i
\(113\) −0.548822 + 3.46513i −0.0516289 + 0.325972i 0.948333 + 0.317276i \(0.102768\pi\)
−0.999962 + 0.00869603i \(0.997232\pi\)
\(114\) 10.0626 + 5.19342i 0.942452 + 0.486409i
\(115\) 6.34627 8.35235i 0.591793 0.778861i
\(116\) −1.67924 2.31127i −0.155913 0.214596i
\(117\) −2.42555 + 1.23588i −0.224242 + 0.114257i
\(118\) 14.5139 + 14.5139i 1.33611 + 1.33611i
\(119\) 2.89632 + 0.941070i 0.265505 + 0.0862678i
\(120\) 0.534216 0.511790i 0.0487671 0.0467198i
\(121\) 7.39583 + 22.7620i 0.672348 + 2.06928i
\(122\) −4.95296 + 9.72073i −0.448420 + 0.880074i
\(123\) −0.991731 6.26154i −0.0894214 0.564584i
\(124\) 7.82718 0.702901
\(125\) −8.39742 + 7.38128i −0.751088 + 0.660202i
\(126\) 3.60773i 0.321402i
\(127\) 0.0448650 + 0.283267i 0.00398113 + 0.0251359i 0.989599 0.143854i \(-0.0459495\pi\)
−0.985618 + 0.168990i \(0.945950\pi\)
\(128\) −1.78284 0.908402i −0.157582 0.0802922i
\(129\) 2.87980 + 8.86311i 0.253552 + 0.780353i
\(130\) 6.59100 + 6.87981i 0.578069 + 0.603400i
\(131\) 2.61580 8.05062i 0.228544 0.703386i −0.769369 0.638805i \(-0.779429\pi\)
0.997912 0.0645806i \(-0.0205710\pi\)
\(132\) 10.3317 + 10.3317i 0.899260 + 0.899260i
\(133\) 3.70897 + 5.16132i 0.321608 + 0.447544i
\(134\) 16.6322 + 22.8922i 1.43680 + 1.97758i
\(135\) −7.60291 + 10.0062i −0.654354 + 0.861198i
\(136\) −0.307674 + 0.423477i −0.0263828 + 0.0363128i
\(137\) 2.86278 18.0749i 0.244583 1.54424i −0.493630 0.869672i \(-0.664330\pi\)
0.738214 0.674567i \(-0.235670\pi\)
\(138\) −12.0370 1.90648i −1.02466 0.162290i
\(139\) −9.63921 + 13.2672i −0.817588 + 1.12531i 0.172521 + 0.985006i \(0.444809\pi\)
−0.990108 + 0.140307i \(0.955191\pi\)
\(140\) −5.84591 + 1.76184i −0.494070 + 0.148903i
\(141\) 5.31740 + 7.31878i 0.447806 + 0.616352i
\(142\) −1.20841 2.37164i −0.101407 0.199023i
\(143\) 9.04889 9.04889i 0.756706 0.756706i
\(144\) 5.06824 + 1.64677i 0.422353 + 0.137231i
\(145\) −1.61351 + 3.00562i −0.133995 + 0.249603i
\(146\) 10.5941 3.44224i 0.876776 0.284882i
\(147\) 2.92103 5.73284i 0.240922 0.472837i
\(148\) −3.47589 + 0.550527i −0.285716 + 0.0452530i
\(149\) 3.81340i 0.312406i −0.987725 0.156203i \(-0.950075\pi\)
0.987725 0.156203i \(-0.0499254\pi\)
\(150\) 12.1701 + 4.53970i 0.993689 + 0.370665i
\(151\) 20.6466i 1.68019i −0.542436 0.840097i \(-0.682498\pi\)
0.542436 0.840097i \(-0.317502\pi\)
\(152\) −1.04072 + 0.332163i −0.0844138 + 0.0269420i
\(153\) 1.19216 2.33975i 0.0963805 0.189157i
\(154\) 5.24080 + 16.1295i 0.422316 + 1.29975i
\(155\) −4.06361 8.41656i −0.326397 0.676034i
\(156\) 1.65401 5.09053i 0.132427 0.407568i
\(157\) −3.11031 + 3.11031i −0.248230 + 0.248230i −0.820244 0.572014i \(-0.806162\pi\)
0.572014 + 0.820244i \(0.306162\pi\)
\(158\) 22.9822 11.7100i 1.82837 0.931599i
\(159\) 0.957850 + 1.31837i 0.0759625 + 0.104553i
\(160\) 0.375759 17.5261i 0.0297064 1.38556i
\(161\) −5.53392 4.02063i −0.436134 0.316870i
\(162\) 7.08916 + 1.12281i 0.556977 + 0.0882164i
\(163\) −7.79084 1.23395i −0.610226 0.0966503i −0.156330 0.987705i \(-0.549966\pi\)
−0.453896 + 0.891055i \(0.649966\pi\)
\(164\) −7.27550 5.28596i −0.568121 0.412764i
\(165\) 5.74580 16.4736i 0.447310 1.28246i
\(166\) 11.0882 + 15.2616i 0.860613 + 1.18453i
\(167\) −14.9895 + 7.63754i −1.15992 + 0.591011i −0.924612 0.380909i \(-0.875611\pi\)
−0.235311 + 0.971920i \(0.575611\pi\)
\(168\) −0.341122 0.341122i −0.0263181 0.0263181i
\(169\) 7.90526 + 2.56858i 0.608097 + 0.197583i
\(170\) −9.04442 1.63195i −0.693675 0.125165i
\(171\) 4.89602 2.46258i 0.374408 0.188318i
\(172\) 11.7789 + 6.00165i 0.898133 + 0.457621i
\(173\) 4.25600 0.674085i 0.323578 0.0512497i 0.00746752 0.999972i \(-0.497623\pi\)
0.316110 + 0.948722i \(0.397623\pi\)
\(174\) 3.96327 0.300455
\(175\) 4.92951 + 5.37142i 0.372636 + 0.406041i
\(176\) −25.0514 −1.88832
\(177\) −13.5996 + 2.15397i −1.02221 + 0.161902i
\(178\) −10.3644 + 20.3412i −0.776841 + 1.52464i
\(179\) −5.67078 17.4529i −0.423854 1.30449i −0.904088 0.427347i \(-0.859448\pi\)
0.480234 0.877140i \(-0.340552\pi\)
\(180\) 0.711941 + 5.21641i 0.0530649 + 0.388808i
\(181\) 8.71224 + 2.83078i 0.647575 + 0.210410i 0.614345 0.789038i \(-0.289420\pi\)
0.0332306 + 0.999448i \(0.489420\pi\)
\(182\) 4.39308 4.39308i 0.325637 0.325637i
\(183\) −3.32256 6.52088i −0.245610 0.482037i
\(184\) 0.951184 0.691076i 0.0701222 0.0509468i
\(185\) 2.39655 + 3.45181i 0.176198 + 0.253782i
\(186\) −6.38239 + 8.78461i −0.467980 + 0.644119i
\(187\) −1.93109 + 12.1924i −0.141215 + 0.891597i
\(188\) 12.6749 + 2.00751i 0.924413 + 0.146413i
\(189\) 6.62970 + 4.81676i 0.482240 + 0.350368i
\(190\) −13.1966 13.9194i −0.957383 1.00982i
\(191\) −13.2908 + 9.65632i −0.961687 + 0.698706i −0.953542 0.301260i \(-0.902593\pi\)
−0.00814503 + 0.999967i \(0.502593\pi\)
\(192\) −8.17571 + 4.16573i −0.590031 + 0.300636i
\(193\) −5.00756 + 5.00756i −0.360452 + 0.360452i −0.863979 0.503527i \(-0.832035\pi\)
0.503527 + 0.863979i \(0.332035\pi\)
\(194\) 0.767833 + 0.249484i 0.0551272 + 0.0179119i
\(195\) −6.33255 + 0.864272i −0.453483 + 0.0618918i
\(196\) −2.82043 8.68039i −0.201459 0.620028i
\(197\) −24.5927 12.5306i −1.75215 0.892768i −0.958836 0.283962i \(-0.908351\pi\)
−0.793319 0.608806i \(-0.791649\pi\)
\(198\) 14.4439 2.28768i 1.02648 0.162579i
\(199\) 21.9262i 1.55431i −0.629309 0.777155i \(-0.716662\pi\)
0.629309 0.777155i \(-0.283338\pi\)
\(200\) −1.13990 + 0.520527i −0.0806028 + 0.0368068i
\(201\) −18.9818 −1.33887
\(202\) −2.68537 16.9548i −0.188942 1.19293i
\(203\) 1.98203 + 1.00990i 0.139111 + 0.0708807i
\(204\) 1.59550 + 4.91046i 0.111708 + 0.343801i
\(205\) −1.90680 + 10.5676i −0.133176 + 0.738076i
\(206\) 8.05774 24.7992i 0.561410 1.72784i
\(207\) −4.17069 + 4.17069i −0.289883 + 0.289883i
\(208\) 4.16627 + 8.17677i 0.288879 + 0.566957i
\(209\) −18.3120 + 18.1220i −1.26666 + 1.25353i
\(210\) 2.78949 7.99763i 0.192493 0.551889i
\(211\) −9.01853 + 12.4129i −0.620861 + 0.854542i −0.997415 0.0718526i \(-0.977109\pi\)
0.376554 + 0.926395i \(0.377109\pi\)
\(212\) 2.28319 + 0.361622i 0.156810 + 0.0248363i
\(213\) 1.76358 + 0.279323i 0.120838 + 0.0191389i
\(214\) −0.772084 + 1.06268i −0.0527786 + 0.0726435i
\(215\) 0.338360 15.7817i 0.0230760 1.07630i
\(216\) −1.13953 + 0.827918i −0.0775352 + 0.0563327i
\(217\) −5.43027 + 2.76686i −0.368631 + 0.187827i
\(218\) 18.6740 + 18.6740i 1.26476 + 1.26476i
\(219\) −2.30913 + 7.10677i −0.156037 + 0.480231i
\(220\) −10.7606 22.2875i −0.725482 1.50262i
\(221\) 4.30076 1.39740i 0.289300 0.0939994i
\(222\) 2.21642 4.34998i 0.148757 0.291951i
\(223\) 3.24370 0.513751i 0.217214 0.0344033i −0.0468788 0.998901i \(-0.514927\pi\)
0.264093 + 0.964497i \(0.414927\pi\)
\(224\) −11.4312 −0.763776
\(225\) 5.23959 3.47373i 0.349306 0.231582i
\(226\) −6.90404 −0.459250
\(227\) −2.54868 16.0917i −0.169162 1.06805i −0.915453 0.402426i \(-0.868167\pi\)
0.746291 0.665620i \(-0.231833\pi\)
\(228\) −3.38324 + 10.2307i −0.224061 + 0.677548i
\(229\) 5.97853 1.94254i 0.395072 0.128367i −0.104742 0.994499i \(-0.533402\pi\)
0.499814 + 0.866133i \(0.333402\pi\)
\(230\) 18.1879 + 9.76383i 1.19928 + 0.643808i
\(231\) −10.8200 3.51564i −0.711906 0.231312i
\(232\) −0.270363 + 0.270363i −0.0177502 + 0.0177502i
\(233\) 10.6089 5.40548i 0.695009 0.354125i −0.0705338 0.997509i \(-0.522470\pi\)
0.765543 + 0.643384i \(0.222470\pi\)
\(234\) −3.14885 4.33401i −0.205846 0.283323i
\(235\) −4.42172 14.6716i −0.288441 0.957067i
\(236\) −11.4807 + 15.8019i −0.747332 + 1.02861i
\(237\) −2.70677 + 17.0898i −0.175823 + 1.11010i
\(238\) −0.937510 + 5.91921i −0.0607698 + 0.383685i
\(239\) 16.7415 23.0427i 1.08292 1.49051i 0.226651 0.973976i \(-0.427222\pi\)
0.856267 0.516533i \(-0.172778\pi\)
\(240\) 9.96202 + 7.56932i 0.643045 + 0.488598i
\(241\) −5.13572 7.06871i −0.330821 0.455335i 0.610912 0.791699i \(-0.290803\pi\)
−0.941732 + 0.336363i \(0.890803\pi\)
\(242\) −41.9652 + 21.3823i −2.69763 + 1.37451i
\(243\) 8.51747 8.51747i 0.546396 0.546396i
\(244\) −9.87361 3.20813i −0.632093 0.205379i
\(245\) −7.86974 + 7.53937i −0.502780 + 0.481673i
\(246\) 11.8651 3.85521i 0.756491 0.245799i
\(247\) 8.96047 + 2.96317i 0.570141 + 0.188542i
\(248\) −0.163872 1.03465i −0.0104059 0.0657002i
\(249\) −12.6547 −0.801957
\(250\) −16.9319 14.0495i −1.07087 0.888571i
\(251\) −17.2881 −1.09121 −0.545607 0.838041i \(-0.683701\pi\)
−0.545607 + 0.838041i \(0.683701\pi\)
\(252\) 3.39082 0.537053i 0.213602 0.0338312i
\(253\) 12.5878 24.7050i 0.791391 1.55319i
\(254\) −0.536767 + 0.174406i −0.0336797 + 0.0109432i
\(255\) 4.45188 4.26499i 0.278787 0.267084i
\(256\) 5.51261 16.9661i 0.344538 1.06038i
\(257\) 10.2204 + 10.2204i 0.637529 + 0.637529i 0.949945 0.312416i \(-0.101138\pi\)
−0.312416 + 0.949945i \(0.601138\pi\)
\(258\) −16.3405 + 8.32589i −1.01731 + 0.518347i
\(259\) 2.21687 1.61065i 0.137749 0.100081i
\(260\) −5.48503 + 7.21888i −0.340167 + 0.447696i
\(261\) 1.12745 1.55180i 0.0697873 0.0960539i
\(262\) 16.4531 + 2.60591i 1.01647 + 0.160994i
\(263\) 12.5559 + 1.98865i 0.774227 + 0.122626i 0.531032 0.847352i \(-0.321804\pi\)
0.243195 + 0.969977i \(0.421804\pi\)
\(264\) 1.14941 1.58202i 0.0707410 0.0973667i
\(265\) −0.796506 2.64286i −0.0489290 0.162350i
\(266\) −8.89014 + 8.79793i −0.545090 + 0.539436i
\(267\) −6.95264 13.6453i −0.425495 0.835080i
\(268\) −19.0400 + 19.0400i −1.16305 + 1.16305i
\(269\) −9.96926 + 30.6822i −0.607836 + 1.87073i −0.131864 + 0.991268i \(0.542096\pi\)
−0.475972 + 0.879460i \(0.657904\pi\)
\(270\) −21.7894 11.6972i −1.32606 0.711869i
\(271\) 2.16406 + 6.66030i 0.131457 + 0.404584i 0.995022 0.0996537i \(-0.0317735\pi\)
−0.863565 + 0.504238i \(0.831773\pi\)
\(272\) −7.88753 4.01890i −0.478252 0.243682i
\(273\) 0.651965 + 4.11634i 0.0394587 + 0.249132i
\(274\) 36.0129 2.17562
\(275\) −18.3791 + 23.1418i −1.10830 + 1.39550i
\(276\) 11.5971i 0.698066i
\(277\) −12.3018 + 1.94842i −0.739146 + 0.117069i −0.514643 0.857404i \(-0.672076\pi\)
−0.224503 + 0.974474i \(0.572076\pi\)
\(278\) −28.7546 14.6512i −1.72459 0.878721i
\(279\) 1.62394 + 4.99799i 0.0972230 + 0.299222i
\(280\) 0.355284 + 0.735865i 0.0212323 + 0.0439764i
\(281\) −16.0320 5.20912i −0.956390 0.310750i −0.211080 0.977469i \(-0.567698\pi\)
−0.745309 + 0.666719i \(0.767698\pi\)
\(282\) −12.5884 + 12.5884i −0.749627 + 0.749627i
\(283\) −11.6805 + 5.95152i −0.694335 + 0.353781i −0.765279 0.643699i \(-0.777399\pi\)
0.0709438 + 0.997480i \(0.477399\pi\)
\(284\) 2.04916 1.48880i 0.121595 0.0883442i
\(285\) 12.7576 1.67347i 0.755694 0.0991276i
\(286\) 20.3738 + 14.8024i 1.20473 + 0.875285i
\(287\) 6.91609 + 1.09540i 0.408244 + 0.0646595i
\(288\) −1.54195 + 9.73550i −0.0908604 + 0.573670i
\(289\) 7.42836 10.2243i 0.436962 0.601427i
\(290\) −6.33867 2.21086i −0.372219 0.129826i
\(291\) −0.438153 + 0.318337i −0.0256850 + 0.0186612i
\(292\) 4.81235 + 9.44476i 0.281621 + 0.552713i
\(293\) 12.3034 12.3034i 0.718775 0.718775i −0.249579 0.968354i \(-0.580292\pi\)
0.968354 + 0.249579i \(0.0802923\pi\)
\(294\) 12.0420 + 3.91269i 0.702304 + 0.228192i
\(295\) 22.9522 + 4.14142i 1.33633 + 0.241123i
\(296\) 0.145545 + 0.447940i 0.00845961 + 0.0260360i
\(297\) −15.0804 + 29.5969i −0.875054 + 1.71739i
\(298\) 7.41201 1.17395i 0.429366 0.0680050i
\(299\) −10.1572 −0.587406
\(300\) −2.45509 + 12.1142i −0.141745 + 0.699416i
\(301\) −10.2934 −0.593302
\(302\) 40.1302 6.35600i 2.30924 0.365747i
\(303\) 10.2603 + 5.22788i 0.589439 + 0.300334i
\(304\) −8.30161 16.5050i −0.476130 0.946626i
\(305\) 1.67635 + 12.2826i 0.0959873 + 0.703302i
\(306\) 4.91471 + 1.59689i 0.280955 + 0.0912880i
\(307\) 20.2662 + 20.2662i 1.15665 + 1.15665i 0.985190 + 0.171465i \(0.0548500\pi\)
0.171465 + 0.985190i \(0.445150\pi\)
\(308\) −14.3796 + 7.32678i −0.819355 + 0.417482i
\(309\) 10.2815 + 14.1513i 0.584895 + 0.805039i
\(310\) 15.1081 10.4894i 0.858081 0.595755i
\(311\) 11.8177 + 8.58607i 0.670121 + 0.486872i 0.870066 0.492936i \(-0.164076\pi\)
−0.199944 + 0.979807i \(0.564076\pi\)
\(312\) −0.707528 0.112061i −0.0400559 0.00634423i
\(313\) −10.1609 1.60933i −0.574330 0.0909649i −0.137488 0.990503i \(-0.543903\pi\)
−0.436841 + 0.899539i \(0.643903\pi\)
\(314\) −7.00294 5.08793i −0.395199 0.287129i
\(315\) −2.33789 3.36733i −0.131725 0.189728i
\(316\) 14.4272 + 19.8573i 0.811591 + 1.11706i
\(317\) −2.32453 + 1.18441i −0.130558 + 0.0665228i −0.518050 0.855351i \(-0.673342\pi\)
0.387491 + 0.921873i \(0.373342\pi\)
\(318\) −2.26761 + 2.26761i −0.127161 + 0.127161i
\(319\) −2.78639 + 8.57562i −0.156008 + 0.480143i
\(320\) 15.3997 2.10176i 0.860867 0.117492i
\(321\) −0.272292 0.838030i −0.0151979 0.0467743i
\(322\) 6.11119 11.9939i 0.340563 0.668393i
\(323\) −8.67284 + 2.76807i −0.482570 + 0.154020i
\(324\) 6.83008i 0.379449i
\(325\) 10.6101 + 2.15026i 0.588542 + 0.119275i
\(326\) 15.5227i 0.859725i
\(327\) −17.4977 + 2.77136i −0.967623 + 0.153256i
\(328\) −0.546411 + 1.07239i −0.0301705 + 0.0592130i
\(329\) −9.50313 + 3.08775i −0.523925 + 0.170233i
\(330\) 33.7881 + 6.09663i 1.85997 + 0.335608i
\(331\) −10.0406 3.26238i −0.551880 0.179317i 0.0197844 0.999804i \(-0.493702\pi\)
−0.571664 + 0.820488i \(0.693702\pi\)
\(332\) −12.6935 + 12.6935i −0.696644 + 0.696644i
\(333\) −1.07270 2.10528i −0.0587834 0.115369i
\(334\) −19.4594 26.7836i −1.06477 1.46553i
\(335\) 30.3586 + 10.5888i 1.65867 + 0.578526i
\(336\) 4.79548 6.60041i 0.261615 0.360082i
\(337\) 26.1739 + 4.14554i 1.42578 + 0.225822i 0.821164 0.570693i \(-0.193325\pi\)
0.604619 + 0.796515i \(0.293325\pi\)
\(338\) −2.55886 + 16.1560i −0.139184 + 0.878771i
\(339\) 2.72226 3.74687i 0.147853 0.203502i
\(340\) 0.187463 8.74358i 0.0101666 0.474187i
\(341\) −14.5207 19.9861i −0.786343 1.08231i
\(342\) 6.29368 + 8.75817i 0.340323 + 0.473588i
\(343\) 12.2425 + 12.2425i 0.661032 + 0.661032i
\(344\) 0.546731 1.68267i 0.0294778 0.0907232i
\(345\) −12.4704 + 6.02084i −0.671383 + 0.324151i
\(346\) 2.62040 + 8.06477i 0.140874 + 0.433565i
\(347\) 18.0019 + 9.17241i 0.966391 + 0.492401i 0.864630 0.502408i \(-0.167553\pi\)
0.101760 + 0.994809i \(0.467553\pi\)
\(348\) 0.589981 + 3.72499i 0.0316263 + 0.199680i
\(349\) 12.3961i 0.663548i 0.943359 + 0.331774i \(0.107647\pi\)
−0.943359 + 0.331774i \(0.892353\pi\)
\(350\) −8.92276 + 11.2350i −0.476941 + 0.600533i
\(351\) 12.1685 0.649504
\(352\) −7.24857 45.7656i −0.386350 2.43932i
\(353\) −0.949419 + 1.86334i −0.0505325 + 0.0991755i −0.914892 0.403699i \(-0.867724\pi\)
0.864359 + 0.502875i \(0.167724\pi\)
\(354\) −8.37323 25.7702i −0.445032 1.36967i
\(355\) −2.66477 1.43053i −0.141431 0.0759244i
\(356\) −20.6611 6.71320i −1.09504 0.355799i
\(357\) −2.84273 2.84273i −0.150453 0.150453i
\(358\) 32.1769 16.3950i 1.70060 0.866501i
\(359\) 14.2626 + 19.6308i 0.752751 + 1.03607i 0.997783 + 0.0665575i \(0.0212016\pi\)
−0.245032 + 0.969515i \(0.578798\pi\)
\(360\) 0.674634 0.203321i 0.0355563 0.0107160i
\(361\) −18.0079 6.05941i −0.947783 0.318916i
\(362\) −2.82007 + 17.8052i −0.148219 + 0.935821i
\(363\) 4.94252 31.2058i 0.259415 1.63788i
\(364\) 4.78292 + 3.47500i 0.250693 + 0.182139i
\(365\) 7.65754 10.0781i 0.400814 0.527513i
\(366\) 11.6516 8.46541i 0.609041 0.442494i
\(367\) 6.42659 + 12.6129i 0.335465 + 0.658387i 0.995696 0.0926750i \(-0.0295418\pi\)
−0.660231 + 0.751062i \(0.729542\pi\)
\(368\) 14.0598 + 14.0598i 0.732920 + 0.732920i
\(369\) 1.86583 5.74243i 0.0971311 0.298939i
\(370\) −5.97142 + 5.72074i −0.310439 + 0.297407i
\(371\) −1.71185 + 0.556213i −0.0888746 + 0.0288771i
\(372\) −9.20656 4.69097i −0.477338 0.243216i
\(373\) −31.9668 + 5.06305i −1.65518 + 0.262155i −0.912974 0.408017i \(-0.866220\pi\)
−0.742206 + 0.670172i \(0.766220\pi\)
\(374\) −24.2926 −1.25614
\(375\) 14.3010 3.64935i 0.738502 0.188452i
\(376\) 1.71748i 0.0885724i
\(377\) 3.26248 0.516727i 0.168026 0.0266128i
\(378\) −7.32128 + 14.3688i −0.376566 + 0.739052i
\(379\) 11.4049 + 35.1006i 0.585829 + 1.80300i 0.595915 + 0.803047i \(0.296789\pi\)
−0.0100862 + 0.999949i \(0.503211\pi\)
\(380\) 11.1181 14.4753i 0.570346 0.742566i
\(381\) 0.116996 0.360075i 0.00599386 0.0184472i
\(382\) −22.8603 22.8603i −1.16963 1.16963i
\(383\) 9.63885 + 18.9173i 0.492522 + 0.966629i 0.994793 + 0.101919i \(0.0324981\pi\)
−0.502271 + 0.864711i \(0.667502\pi\)
\(384\) 1.55261 + 2.13698i 0.0792311 + 0.109052i
\(385\) 15.3439 + 11.6586i 0.781998 + 0.594176i
\(386\) −11.2746 8.19151i −0.573864 0.416937i
\(387\) −1.38848 + 8.76653i −0.0705805 + 0.445628i
\(388\) −0.120183 + 0.758808i −0.00610139 + 0.0385227i
\(389\) 9.89913 13.6250i 0.501906 0.690814i −0.480622 0.876928i \(-0.659589\pi\)
0.982528 + 0.186113i \(0.0595892\pi\)
\(390\) −3.62933 12.0424i −0.183778 0.609788i
\(391\) 7.92667 5.75906i 0.400869 0.291248i
\(392\) −1.08838 + 0.554558i −0.0549716 + 0.0280094i
\(393\) −7.90167 + 7.90167i −0.398587 + 0.398587i
\(394\) 16.7846 51.6577i 0.845596 2.60248i
\(395\) 13.8624 25.8228i 0.697494 1.29928i
\(396\) 4.30028 + 13.2349i 0.216097 + 0.665080i
\(397\) 16.2648 + 8.28734i 0.816308 + 0.415930i 0.811711 0.584060i \(-0.198537\pi\)
0.00459712 + 0.999989i \(0.498537\pi\)
\(398\) 42.6175 6.74995i 2.13622 0.338344i
\(399\) −1.26932 8.29376i −0.0635453 0.415207i
\(400\) −11.7103 17.6632i −0.585516 0.883160i
\(401\) 6.21462i 0.310343i −0.987888 0.155172i \(-0.950407\pi\)
0.987888 0.155172i \(-0.0495931\pi\)
\(402\) −5.84351 36.8944i −0.291448 1.84013i
\(403\) −4.10853 + 8.06344i −0.204660 + 0.401669i
\(404\) 15.5357 5.04784i 0.772928 0.251139i
\(405\) 7.34439 3.54595i 0.364945 0.176200i
\(406\) −1.35274 + 4.16332i −0.0671356 + 0.206622i
\(407\) 7.85410 + 7.85410i 0.389313 + 0.389313i
\(408\) 0.615693 0.313711i 0.0304813 0.0155310i
\(409\) −13.9820 + 10.1585i −0.691366 + 0.502307i −0.877109 0.480292i \(-0.840531\pi\)
0.185743 + 0.982598i \(0.440531\pi\)
\(410\) −21.1271 0.452965i −1.04339 0.0223703i
\(411\) −14.1999 + 19.5445i −0.700429 + 0.964057i
\(412\) 24.5077 + 3.88164i 1.20741 + 0.191235i
\(413\) 2.37913 15.0213i 0.117070 0.739148i
\(414\) −9.39041 6.82254i −0.461514 0.335309i
\(415\) 20.2393 + 7.05925i 0.993507 + 0.346525i
\(416\) −13.7324 + 9.97718i −0.673287 + 0.489171i
\(417\) 19.2892 9.82836i 0.944598 0.481297i
\(418\) −40.8606 30.0137i −1.99856 1.46802i
\(419\) −4.78241 1.55390i −0.233636 0.0759130i 0.189859 0.981811i \(-0.439197\pi\)
−0.423495 + 0.905898i \(0.639197\pi\)
\(420\) 7.93204 + 1.43124i 0.387044 + 0.0698372i
\(421\) −27.8239 + 9.04052i −1.35605 + 0.440608i −0.894723 0.446621i \(-0.852627\pi\)
−0.461329 + 0.887229i \(0.652627\pi\)
\(422\) −26.9031 13.7078i −1.30962 0.667285i
\(423\) 1.34785 + 8.50998i 0.0655347 + 0.413770i
\(424\) 0.309379i 0.0150248i
\(425\) −9.49929 + 4.33780i −0.460783 + 0.210414i
\(426\) 3.51381i 0.170245i
\(427\) 7.98408 1.26455i 0.386377 0.0611961i
\(428\) −1.11373 0.567471i −0.0538340 0.0274298i
\(429\) −16.0667 + 5.22040i −0.775710 + 0.252043i
\(430\) 30.7787 4.20070i 1.48428 0.202576i
\(431\) 6.29109 + 2.04410i 0.303031 + 0.0984607i 0.456586 0.889679i \(-0.349072\pi\)
−0.153555 + 0.988140i \(0.549072\pi\)
\(432\) −16.8439 16.8439i −0.810401 0.810401i
\(433\) 8.06549 + 15.8294i 0.387603 + 0.760714i 0.999544 0.0301897i \(-0.00961113\pi\)
−0.611941 + 0.790903i \(0.709611\pi\)
\(434\) −7.04958 9.70291i −0.338391 0.465755i
\(435\) 3.69918 2.56830i 0.177362 0.123140i
\(436\) −14.7714 + 20.3311i −0.707423 + 0.973685i
\(437\) 20.4482 + 0.106604i 0.978170 + 0.00509955i
\(438\) −14.5241 2.30039i −0.693989 0.109917i
\(439\) −29.1828 21.2026i −1.39282 1.01194i −0.995549 0.0942428i \(-0.969957\pi\)
−0.397272 0.917701i \(-0.630043\pi\)
\(440\) −2.72082 + 1.88903i −0.129710 + 0.0900559i
\(441\) 4.95763 3.60193i 0.236078 0.171520i
\(442\) 4.04007 + 7.92909i 0.192167 + 0.377148i
\(443\) −2.00512 2.00512i −0.0952662 0.0952662i 0.657867 0.753134i \(-0.271459\pi\)
−0.753134 + 0.657867i \(0.771459\pi\)
\(444\) 4.41839 + 1.43562i 0.209687 + 0.0681315i
\(445\) 3.50785 + 25.7021i 0.166288 + 1.21840i
\(446\) 1.99713 + 6.14654i 0.0945669 + 0.291047i
\(447\) −2.28544 + 4.48544i −0.108098 + 0.212154i
\(448\) −1.58547 10.0102i −0.0749062 0.472939i
\(449\) 19.1755 0.904946 0.452473 0.891778i \(-0.350542\pi\)
0.452473 + 0.891778i \(0.350542\pi\)
\(450\) 8.36481 + 9.11467i 0.394321 + 0.429670i
\(451\) 28.3838i 1.33654i
\(452\) −1.02775 6.48895i −0.0483412 0.305215i
\(453\) −12.3739 + 24.2851i −0.581376 + 1.14101i
\(454\) 30.4925 9.90761i 1.43108 0.464987i
\(455\) 1.25353 6.94718i 0.0587664 0.325689i
\(456\) 1.42320 + 0.233025i 0.0666475 + 0.0109124i
\(457\) 6.03887 6.03887i 0.282486 0.282486i −0.551614 0.834100i \(-0.685988\pi\)
0.834100 + 0.551614i \(0.185988\pi\)
\(458\) 5.61615 + 11.0223i 0.262425 + 0.515039i
\(459\) −9.49625 + 6.89943i −0.443247 + 0.322038i
\(460\) −6.46932 + 18.5479i −0.301633 + 0.864801i
\(461\) −4.91451 3.57060i −0.228891 0.166299i 0.467429 0.884031i \(-0.345181\pi\)
−0.696320 + 0.717731i \(0.745181\pi\)
\(462\) 3.50234 22.1129i 0.162944 1.02879i
\(463\) 15.9651 + 2.52863i 0.741963 + 0.117515i 0.515962 0.856612i \(-0.327435\pi\)
0.226001 + 0.974127i \(0.427435\pi\)
\(464\) −5.23128 3.80075i −0.242856 0.176445i
\(465\) −0.264467 + 12.3352i −0.0122644 + 0.572031i
\(466\) 13.7724 + 18.9561i 0.637995 + 0.878125i
\(467\) −9.33176 18.3146i −0.431823 0.847500i −0.999703 0.0243881i \(-0.992236\pi\)
0.567880 0.823111i \(-0.307764\pi\)
\(468\) 3.60470 3.60470i 0.166627 0.166627i
\(469\) 6.47887 19.9399i 0.299166 0.920739i
\(470\) 27.1555 13.1110i 1.25259 0.604765i
\(471\) 5.52251 1.79437i 0.254464 0.0826803i
\(472\) 2.32916 + 1.18677i 0.107208 + 0.0546254i
\(473\) −6.52712 41.2106i −0.300117 1.89487i
\(474\) −34.0504 −1.56399
\(475\) −21.3374 4.44019i −0.979027 0.203730i
\(476\) −5.70289 −0.261392
\(477\) 0.242795 + 1.53295i 0.0111168 + 0.0701888i
\(478\) 49.9414 + 25.4464i 2.28427 + 1.16389i
\(479\) −32.8220 + 10.6645i −1.49968 + 0.487274i −0.939923 0.341386i \(-0.889104\pi\)
−0.559752 + 0.828660i \(0.689104\pi\)
\(480\) −10.9457 + 20.3895i −0.499600 + 0.930648i
\(481\) 1.25737 3.86979i 0.0573311 0.176447i
\(482\) 12.1583 12.1583i 0.553793 0.553793i
\(483\) 4.09952 + 8.04576i 0.186535 + 0.366095i
\(484\) −26.3438 36.2591i −1.19745 1.64814i
\(485\) 0.878341 0.264715i 0.0398834 0.0120201i
\(486\) 19.1773 + 13.9331i 0.869899 + 0.632018i
\(487\) −32.9249 5.21479i −1.49197 0.236305i −0.643457 0.765482i \(-0.722500\pi\)
−0.848511 + 0.529178i \(0.822500\pi\)
\(488\) −0.217355 + 1.37232i −0.00983920 + 0.0621222i
\(489\) 8.42429 + 6.12061i 0.380960 + 0.276783i
\(490\) −17.0768 12.9752i −0.771450 0.586162i
\(491\) 23.0232 16.7274i 1.03902 0.754895i 0.0689288 0.997622i \(-0.478042\pi\)
0.970095 + 0.242727i \(0.0780419\pi\)
\(492\) 5.38969 + 10.5779i 0.242986 + 0.476886i
\(493\) −2.25306 + 2.25306i −0.101473 + 0.101473i
\(494\) −3.00097 + 18.3284i −0.135020 + 0.824636i
\(495\) 11.9989 11.4952i 0.539312 0.516672i
\(496\) 16.8487 5.47449i 0.756531 0.245812i
\(497\) −0.895367 + 1.75726i −0.0401627 + 0.0788237i
\(498\) −3.89571 24.5966i −0.174571 1.10220i
\(499\) 12.8448i 0.575013i −0.957779 0.287506i \(-0.907174\pi\)
0.957779 0.287506i \(-0.0928263\pi\)
\(500\) 10.6843 18.0054i 0.477818 0.805226i
\(501\) 22.2084 0.992200
\(502\) −5.32210 33.6024i −0.237537 1.49975i
\(503\) −9.48029 + 18.6061i −0.422705 + 0.829606i 0.577210 + 0.816596i \(0.304141\pi\)
−0.999915 + 0.0130100i \(0.995859\pi\)
\(504\) −0.141983 0.436977i −0.00632441 0.0194645i
\(505\) −13.4935 14.0848i −0.600454 0.626766i
\(506\) 51.8937 + 16.8613i 2.30696 + 0.749576i
\(507\) −7.75901 7.75901i −0.344590 0.344590i
\(508\) −0.243825 0.478533i −0.0108180 0.0212315i
\(509\) 5.42568 3.94199i 0.240489 0.174726i −0.461012 0.887394i \(-0.652514\pi\)
0.701501 + 0.712668i \(0.252514\pi\)
\(510\) 9.66025 + 7.34004i 0.427763 + 0.325022i
\(511\) −6.67733 4.85137i −0.295388 0.214612i
\(512\) 30.7210 + 4.86573i 1.35769 + 0.215037i
\(513\) −24.4972 0.127713i −1.08158 0.00563865i
\(514\) −16.7188 + 23.0114i −0.737433 + 1.01499i
\(515\) −8.54965 28.3683i −0.376743 1.25006i
\(516\) −10.2578 14.1186i −0.451574 0.621538i
\(517\) −18.3881 36.0887i −0.808708 1.58718i
\(518\) 3.81303 + 3.81303i 0.167535 + 0.167535i
\(519\) −5.41003 1.75783i −0.237474 0.0771600i
\(520\) 1.06908 + 0.573912i 0.0468820 + 0.0251677i
\(521\) −22.2641 + 7.23404i −0.975408 + 0.316929i −0.752997 0.658024i \(-0.771393\pi\)
−0.222411 + 0.974953i \(0.571393\pi\)
\(522\) 3.36328 + 1.71367i 0.147207 + 0.0750055i
\(523\) −12.5771 + 1.99202i −0.549958 + 0.0871048i −0.425229 0.905086i \(-0.639806\pi\)
−0.124730 + 0.992191i \(0.539806\pi\)
\(524\) 15.8518i 0.692488i
\(525\) −2.57904 9.27237i −0.112559 0.404680i
\(526\) 25.0167i 1.09078i
\(527\) −1.36562 8.62221i −0.0594875 0.375589i
\(528\) 29.4662 + 15.0138i 1.28235 + 0.653391i
\(529\) 0.944032 0.306735i 0.0410449 0.0133363i
\(530\) 4.89166 2.36175i 0.212480 0.102588i
\(531\) −12.4721 4.05245i −0.541245 0.175861i
\(532\) −9.59238 7.04597i −0.415882 0.305482i
\(533\) 9.26447 4.72049i 0.401289 0.204467i
\(534\) 24.3817 17.7144i 1.05510 0.766575i
\(535\) −0.0319928 + 1.49220i −0.00138317 + 0.0645135i
\(536\) 2.91546 + 2.11820i 0.125929 + 0.0914924i
\(537\) −3.78969 + 23.9272i −0.163537 + 1.03253i
\(538\) −62.7053 9.93154i −2.70342 0.428179i
\(539\) −16.9323 + 23.3054i −0.729327 + 1.00383i
\(540\) 7.75032 22.2206i 0.333521 0.956224i
\(541\) −4.38816 + 3.18819i −0.188662 + 0.137071i −0.678107 0.734963i \(-0.737199\pi\)
0.489445 + 0.872034i \(0.337199\pi\)
\(542\) −12.2793 + 6.25659i −0.527439 + 0.268744i
\(543\) −8.55105 8.55105i −0.366961 0.366961i
\(544\) 5.05977 15.5724i 0.216936 0.667660i
\(545\) 29.5309 + 5.32847i 1.26496 + 0.228247i
\(546\) −7.80013 + 2.53442i −0.333815 + 0.108463i
\(547\) 19.8988 39.0537i 0.850813 1.66981i 0.114244 0.993453i \(-0.463555\pi\)
0.736569 0.676362i \(-0.236445\pi\)
\(548\) 5.36096 + 33.8478i 0.229009 + 1.44590i
\(549\) 6.97033i 0.297486i
\(550\) −50.6381 28.5989i −2.15922 1.21946i
\(551\) −6.57337 + 1.00602i −0.280035 + 0.0428579i
\(552\) −1.53299 + 0.242801i −0.0652482 + 0.0103343i
\(553\) −17.0286 8.67650i −0.724129 0.368962i
\(554\) −7.57419 23.3110i −0.321797 0.990388i
\(555\) −0.750156 5.49642i −0.0318423 0.233310i
\(556\) 9.48988 29.2068i 0.402460 1.23865i
\(557\) 23.2995 23.2995i 0.987232 0.987232i −0.0126871 0.999920i \(-0.504039\pi\)
0.999920 + 0.0126871i \(0.00403853\pi\)
\(558\) −9.21454 + 4.69504i −0.390083 + 0.198757i
\(559\) −12.3656 + 8.98415i −0.523010 + 0.379989i
\(560\) −11.3516 + 7.88129i −0.479694 + 0.333045i
\(561\) 9.57854 13.1837i 0.404406 0.556618i
\(562\) 5.18941 32.7646i 0.218902 1.38209i
\(563\) 3.29110 20.7792i 0.138704 0.875740i −0.815972 0.578091i \(-0.803798\pi\)
0.954676 0.297648i \(-0.0962023\pi\)
\(564\) −13.7055 9.95761i −0.577104 0.419291i
\(565\) −6.44399 + 4.47398i −0.271101 + 0.188222i
\(566\) −15.1637 20.8710i −0.637376 0.877273i
\(567\) −2.41440 4.73852i −0.101395 0.198999i
\(568\) −0.239702 0.239702i −0.0100577 0.0100577i
\(569\) −1.03915 + 3.19818i −0.0435635 + 0.134075i −0.970473 0.241211i \(-0.922455\pi\)
0.926909 + 0.375286i \(0.122455\pi\)
\(570\) 7.18007 + 24.2814i 0.300740 + 1.01704i
\(571\) 3.74578 + 11.5283i 0.156756 + 0.482445i 0.998335 0.0576896i \(-0.0183734\pi\)
−0.841579 + 0.540134i \(0.818373\pi\)
\(572\) −10.8796 + 21.3524i −0.454898 + 0.892788i
\(573\) 21.4202 3.39263i 0.894843 0.141729i
\(574\) 13.7799i 0.575160i
\(575\) 23.3032 2.67300i 0.971811 0.111472i
\(576\) −8.73922 −0.364134
\(577\) −14.8551 + 2.35282i −0.618426 + 0.0979491i −0.457784 0.889064i \(-0.651357\pi\)
−0.160643 + 0.987013i \(0.551357\pi\)
\(578\) 22.1594 + 11.2908i 0.921711 + 0.469635i
\(579\) 8.89117 2.88892i 0.369504 0.120059i
\(580\) 1.13435 6.28669i 0.0471014 0.261040i
\(581\) 4.31929 13.2934i 0.179194 0.551504i
\(582\) −0.753628 0.753628i −0.0312389 0.0312389i
\(583\) −3.31234 6.50083i −0.137183 0.269237i
\(584\) 1.14772 0.833866i 0.0474929 0.0345056i
\(585\) −5.74757 2.00469i −0.237633 0.0828838i
\(586\) 27.7015 + 20.1263i 1.14434 + 0.831411i
\(587\) 0.447408 2.82482i 0.0184665 0.116593i −0.976733 0.214458i \(-0.931201\pi\)
0.995200 + 0.0978652i \(0.0312014\pi\)
\(588\) −1.88485 + 11.9005i −0.0777299 + 0.490767i
\(589\) 8.35581 16.1900i 0.344295 0.667097i
\(590\) −0.983808 + 45.8865i −0.0405027 + 1.88912i
\(591\) 21.4168 + 29.4777i 0.880970 + 1.21255i
\(592\) −7.09714 + 3.61617i −0.291691 + 0.148624i
\(593\) 20.7185 + 20.7185i 0.850807 + 0.850807i 0.990233 0.139425i \(-0.0445255\pi\)
−0.139425 + 0.990233i \(0.544526\pi\)
\(594\) −62.1693 20.2000i −2.55084 0.828818i
\(595\) 2.96075 + 6.13231i 0.121379 + 0.251400i
\(596\) 2.20673 + 6.79163i 0.0903914 + 0.278196i
\(597\) −13.1408 + 25.7903i −0.537818 + 1.05553i
\(598\) −3.12687 19.7423i −0.127867 0.807323i
\(599\) −15.1314 −0.618251 −0.309126 0.951021i \(-0.600036\pi\)
−0.309126 + 0.951021i \(0.600036\pi\)
\(600\) 1.65274 + 0.0709022i 0.0674729 + 0.00289457i
\(601\) 32.3699i 1.32040i 0.751091 + 0.660198i \(0.229528\pi\)
−0.751091 + 0.660198i \(0.770472\pi\)
\(602\) −3.16881 20.0071i −0.129151 0.815427i
\(603\) −16.1082 8.20752i −0.655975 0.334236i
\(604\) 11.9477 + 36.7713i 0.486146 + 1.49620i
\(605\) −25.3126 + 47.1520i −1.02910 + 1.91700i
\(606\) −7.00270 + 21.5521i −0.284465 + 0.875494i
\(607\) −6.26146 6.26146i −0.254145 0.254145i 0.568523 0.822668i \(-0.307515\pi\)
−0.822668 + 0.568523i \(0.807515\pi\)
\(608\) 27.7504 19.9417i 1.12543 0.808741i
\(609\) −1.72607 2.37574i −0.0699440 0.0962697i
\(610\) −23.3574 + 7.03946i −0.945713 + 0.285019i
\(611\) −8.72124 + 12.0038i −0.352824 + 0.485620i
\(612\) −0.769265 + 4.85695i −0.0310957 + 0.196330i
\(613\) 13.0847 + 2.07241i 0.528485 + 0.0837038i 0.414975 0.909833i \(-0.363790\pi\)
0.113510 + 0.993537i \(0.463790\pi\)
\(614\) −33.1521 + 45.6299i −1.33791 + 1.84147i
\(615\) 8.57622 11.2872i 0.345826 0.455144i
\(616\) 1.26956 + 1.74740i 0.0511520 + 0.0704047i
\(617\) 5.88893 + 11.5577i 0.237079 + 0.465295i 0.978637 0.205594i \(-0.0659127\pi\)
−0.741558 + 0.670889i \(0.765913\pi\)
\(618\) −24.3404 + 24.3404i −0.979114 + 0.979114i
\(619\) 23.8757 + 7.75768i 0.959644 + 0.311807i 0.746628 0.665241i \(-0.231671\pi\)
0.213016 + 0.977049i \(0.431671\pi\)
\(620\) 12.1077 + 12.6383i 0.486258 + 0.507566i
\(621\) 25.0747 8.14727i 1.00621 0.326939i
\(622\) −13.0505 + 25.6130i −0.523277 + 1.02699i
\(623\) 16.7071 2.64615i 0.669358 0.106016i
\(624\) 12.1147i 0.484976i
\(625\) −24.9081 2.14105i −0.996326 0.0856419i
\(626\) 20.2450i 0.809152i
\(627\) 32.3999 10.3409i 1.29393 0.412978i
\(628\) 3.73956 7.33931i 0.149225 0.292870i
\(629\) 1.21289 + 3.73290i 0.0483612 + 0.148840i
\(630\) 5.82528 5.58073i 0.232085 0.222342i
\(631\) −2.52950 + 7.78500i −0.100698 + 0.309916i −0.988697 0.149930i \(-0.952095\pi\)
0.887999 + 0.459846i \(0.152095\pi\)
\(632\) 2.32282 2.32282i 0.0923966 0.0923966i
\(633\) 18.0472 9.19549i 0.717311 0.365488i
\(634\) −3.01770 4.15351i −0.119848 0.164957i
\(635\) −0.387980 + 0.510623i −0.0153965 + 0.0202634i
\(636\) −2.46883 1.79371i −0.0978956 0.0711253i
\(637\) 10.4229 + 1.65082i 0.412969 + 0.0654079i
\(638\) −17.5260 2.77585i −0.693861 0.109897i
\(639\) 1.37582 + 0.999588i 0.0544264 + 0.0395431i
\(640\) −1.29108 4.28389i −0.0510343 0.169335i
\(641\) 8.00190 + 11.0137i 0.316056 + 0.435014i 0.937258 0.348637i \(-0.113355\pi\)
−0.621202 + 0.783651i \(0.713355\pi\)
\(642\) 1.54503 0.787234i 0.0609776 0.0310696i
\(643\) −19.4126 19.4126i −0.765557 0.765557i 0.211764 0.977321i \(-0.432079\pi\)
−0.977321 + 0.211764i \(0.932079\pi\)
\(644\) 12.1825 + 3.95834i 0.480058 + 0.155980i
\(645\) −9.85626 + 18.3601i −0.388090 + 0.722929i
\(646\) −8.05015 16.0050i −0.316729 0.629710i
\(647\) 18.3636 + 9.35673i 0.721948 + 0.367851i 0.776039 0.630685i \(-0.217226\pi\)
−0.0540909 + 0.998536i \(0.517226\pi\)
\(648\) 0.902846 0.142997i 0.0354671 0.00561744i
\(649\) 61.6476 2.41988
\(650\) −0.913102 + 21.2845i −0.0358148 + 0.834848i
\(651\) 8.04548 0.315327
\(652\) 14.5895 2.31075i 0.571368 0.0904958i
\(653\) 15.3748 30.1747i 0.601662 1.18083i −0.366480 0.930426i \(-0.619437\pi\)
0.968142 0.250402i \(-0.0805628\pi\)
\(654\) −10.7732 33.1566i −0.421267 1.29653i
\(655\) 17.0454 8.22971i 0.666019 0.321562i
\(656\) −19.3583 6.28990i −0.755816 0.245579i
\(657\) −5.03244 + 5.03244i −0.196334 + 0.196334i
\(658\) −8.92711 17.5204i −0.348015 0.683018i
\(659\) 0.381039 0.276841i 0.0148432 0.0107842i −0.580339 0.814375i \(-0.697080\pi\)
0.595182 + 0.803591i \(0.297080\pi\)
\(660\) −0.700322 + 32.6642i −0.0272600 + 1.27145i
\(661\) 25.7537 35.4470i 1.00170 1.37873i 0.0774300 0.996998i \(-0.475329\pi\)
0.924274 0.381730i \(-0.124671\pi\)
\(662\) 3.25004 20.5199i 0.126316 0.797530i
\(663\) −5.89617 0.933861i −0.228988 0.0362682i
\(664\) 1.94366 + 1.41215i 0.0754286 + 0.0548021i
\(665\) −2.59648 + 13.9727i −0.100687 + 0.541839i
\(666\) 3.76176 2.73308i 0.145765 0.105905i
\(667\) 6.37682 3.24915i 0.246911 0.125808i
\(668\) 22.2765 22.2765i 0.861904 0.861904i
\(669\) −4.12323 1.33972i −0.159413 0.0517966i
\(670\) −11.2353 + 62.2670i −0.434057 + 2.40558i
\(671\) 10.1255 + 31.1631i 0.390891 + 1.20304i
\(672\) 13.4457 + 6.85091i 0.518678 + 0.264279i
\(673\) −39.9911 + 6.33396i −1.54154 + 0.244156i −0.868590 0.495531i \(-0.834974\pi\)
−0.672951 + 0.739687i \(0.734974\pi\)
\(674\) 52.1498i 2.00873i
\(675\) −27.9175 + 3.20229i −1.07455 + 0.123256i
\(676\) −15.5656 −0.598676
\(677\) −2.26383 14.2933i −0.0870062 0.549336i −0.992232 0.124404i \(-0.960298\pi\)
0.905225 0.424932i \(-0.139702\pi\)
\(678\) 8.12073 + 4.13772i 0.311875 + 0.158908i
\(679\) −0.184854 0.568924i −0.00709406 0.0218333i
\(680\) −1.15971 + 0.158278i −0.0444728 + 0.00606969i
\(681\) −6.64625 + 20.4550i −0.254685 + 0.783839i
\(682\) 34.3763 34.3763i 1.31634 1.31634i
\(683\) 19.2028 + 37.6876i 0.734774 + 1.44208i 0.890834 + 0.454328i \(0.150121\pi\)
−0.156060 + 0.987748i \(0.549879\pi\)
\(684\) −7.29472 + 7.21905i −0.278920 + 0.276027i
\(685\) 33.6133 23.3373i 1.28430 0.891671i
\(686\) −20.0266 + 27.5642i −0.764619 + 1.05241i
\(687\) −8.19632 1.29817i −0.312709 0.0495283i
\(688\) 29.5529 + 4.68072i 1.12669 + 0.178451i
\(689\) −1.57100 + 2.16230i −0.0598503 + 0.0823769i
\(690\) −15.5416 22.3849i −0.591657 0.852178i
\(691\) 4.99650 3.63017i 0.190076 0.138098i −0.488678 0.872464i \(-0.662521\pi\)
0.678753 + 0.734366i \(0.262521\pi\)
\(692\) −7.18982 + 3.66340i −0.273316 + 0.139261i
\(693\) −7.66188 7.66188i −0.291051 0.291051i
\(694\) −12.2863 + 37.8135i −0.466383 + 1.43538i
\(695\) −36.3329 + 4.95875i −1.37819 + 0.188096i
\(696\) 0.480042 0.155975i 0.0181959 0.00591222i
\(697\) −4.55351 + 8.93676i −0.172476 + 0.338504i
\(698\) −24.0940 + 3.81611i −0.911971 + 0.144442i
\(699\) −15.7181 −0.594512
\(700\) −11.8877 6.71384i −0.449314 0.253759i
\(701\) −4.65076 −0.175657 −0.0878283 0.996136i \(-0.527993\pi\)
−0.0878283 + 0.996136i \(0.527993\pi\)
\(702\) 3.74603 + 23.6515i 0.141385 + 0.892669i
\(703\) −2.57192 + 7.77735i −0.0970017 + 0.293328i
\(704\) 39.0715 12.6951i 1.47256 0.478465i
\(705\) −3.59199 + 19.9071i −0.135282 + 0.749746i
\(706\) −3.91400 1.27174i −0.147305 0.0478624i
\(707\) −8.99381 + 8.99381i −0.338247 + 0.338247i
\(708\) 22.9743 11.7060i 0.863429 0.439939i
\(709\) 13.9216 + 19.1614i 0.522837 + 0.719623i 0.986018 0.166641i \(-0.0532921\pi\)
−0.463181 + 0.886264i \(0.653292\pi\)
\(710\) 1.96014 5.61982i 0.0735626 0.210908i
\(711\) −9.68645 + 13.3323i −0.363270 + 0.499999i
\(712\) −0.454828 + 2.87167i −0.0170454 + 0.107620i
\(713\) −3.06737 + 19.3666i −0.114874 + 0.725286i
\(714\) 4.65022 6.40048i 0.174030 0.239532i
\(715\) 28.6085 + 0.613368i 1.06990 + 0.0229387i
\(716\) 20.1992 + 27.8018i 0.754879 + 1.03900i
\(717\) −33.5018 + 17.0700i −1.25115 + 0.637491i
\(718\) −33.7651 + 33.7651i −1.26010 + 1.26010i
\(719\) 19.7101 + 6.40421i 0.735064 + 0.238837i 0.652542 0.757752i \(-0.273703\pi\)
0.0825220 + 0.996589i \(0.473703\pi\)
\(720\) 5.18099 + 10.7309i 0.193084 + 0.399916i
\(721\) −18.3749 + 5.97036i −0.684316 + 0.222348i
\(722\) 6.23384 36.8668i 0.231999 1.37204i
\(723\) 1.80437 + 11.3924i 0.0671053 + 0.423686i
\(724\) −17.1545 −0.637543
\(725\) −7.34899 + 2.04407i −0.272935 + 0.0759148i
\(726\) 62.1756 2.30755
\(727\) −29.9199 + 4.73885i −1.10967 + 0.175754i −0.684254 0.729244i \(-0.739872\pi\)
−0.425415 + 0.904998i \(0.639872\pi\)
\(728\) 0.359211 0.704992i 0.0133133 0.0261287i
\(729\) −25.5295 + 8.29505i −0.945538 + 0.307224i
\(730\) 21.9459 + 11.7812i 0.812256 + 0.436043i
\(731\) 4.55617 14.0225i 0.168516 0.518639i
\(732\) 9.69094 + 9.69094i 0.358187 + 0.358187i
\(733\) −35.4247 + 18.0498i −1.30844 + 0.666684i −0.962426 0.271545i \(-0.912466\pi\)
−0.346016 + 0.938229i \(0.612466\pi\)
\(734\) −22.5369 + 16.3740i −0.831854 + 0.604377i
\(735\) 13.7751 4.15155i 0.508103 0.153132i
\(736\) −21.6173 + 29.7537i −0.796825 + 1.09674i
\(737\) 83.9395 + 13.2947i 3.09195 + 0.489717i
\(738\) 11.7358 + 1.85877i 0.432001 + 0.0684222i
\(739\) −17.7363 + 24.4120i −0.652442 + 0.898009i −0.999202 0.0399445i \(-0.987282\pi\)
0.346760 + 0.937954i \(0.387282\pi\)
\(740\) −6.26572 4.76081i −0.230332 0.175011i
\(741\) −8.76369 8.85554i −0.321942 0.325316i
\(742\) −1.60809 3.15604i −0.0590347 0.115862i
\(743\) 8.17216 8.17216i 0.299807 0.299807i −0.541131 0.840938i \(-0.682004\pi\)
0.840938 + 0.541131i \(0.182004\pi\)
\(744\) −0.427333 + 1.31520i −0.0156668 + 0.0482174i
\(745\) 6.15737 5.89889i 0.225589 0.216119i
\(746\) −19.6818 60.5745i −0.720604 2.21779i
\(747\) −10.7389 5.47174i −0.392915 0.200200i
\(748\) −3.61624 22.8320i −0.132223 0.834822i
\(749\) 0.973269 0.0355625
\(750\) 11.4957 + 26.6731i 0.419764 + 0.973965i
\(751\) 33.7765i 1.23252i −0.787541 0.616262i \(-0.788646\pi\)
0.787541 0.616262i \(-0.211354\pi\)
\(752\) 28.6880 4.54374i 1.04615 0.165693i
\(753\) 20.3348 + 10.3611i 0.741040 + 0.377579i
\(754\) 2.00870 + 6.18214i 0.0731525 + 0.225140i
\(755\) 33.3373 31.9378i 1.21327 1.16234i
\(756\) −14.5948 4.74214i −0.530807 0.172470i
\(757\) −26.4776 + 26.4776i −0.962346 + 0.962346i −0.999316 0.0369706i \(-0.988229\pi\)
0.0369706 + 0.999316i \(0.488229\pi\)
\(758\) −64.7132 + 32.9730i −2.35049 + 1.19763i
\(759\) −29.6124 + 21.5147i −1.07486 + 0.780933i
\(760\) −2.14621 1.16660i −0.0778512 0.0423172i
\(761\) −4.13357 3.00322i −0.149842 0.108867i 0.510338 0.859974i \(-0.329520\pi\)
−0.660180 + 0.751107i \(0.729520\pi\)
\(762\) 0.735886 + 0.116553i 0.0266583 + 0.00422227i
\(763\) 3.06106 19.3268i 0.110818 0.699676i
\(764\) 18.0828 24.8889i 0.654214 0.900449i
\(765\) 5.62205 1.69437i 0.203266 0.0612602i
\(766\) −33.8018 + 24.5584i −1.22131 + 0.887333i
\(767\) −10.2526 20.1218i −0.370199 0.726555i
\(768\) −16.6522 + 16.6522i −0.600884 + 0.600884i
\(769\) 4.58150 + 1.48862i 0.165213 + 0.0536810i 0.390456 0.920622i \(-0.372317\pi\)
−0.225243 + 0.974303i \(0.572317\pi\)
\(770\) −17.9369 + 33.4126i −0.646401 + 1.20411i
\(771\) −5.89624 18.1468i −0.212348 0.653539i
\(772\) 6.02065 11.8162i 0.216688 0.425274i
\(773\) −46.8180 + 7.41525i −1.68393 + 0.266708i −0.923747 0.383004i \(-0.874889\pi\)
−0.760180 +