Properties

Label 403.2.bl.b.16.20
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.20
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.376809 + 0.167766i) q^{2} +(-0.276755 + 2.63315i) q^{3} +(-1.22442 - 1.35986i) q^{4} -2.68659 q^{5} +(-0.546037 + 0.945764i) q^{6} +(-0.664950 - 0.738502i) q^{7} +(-0.488154 - 1.50238i) q^{8} +(-3.92245 - 0.833743i) q^{9} +O(q^{10})\) \(q+(0.376809 + 0.167766i) q^{2} +(-0.276755 + 2.63315i) q^{3} +(-1.22442 - 1.35986i) q^{4} -2.68659 q^{5} +(-0.546037 + 0.945764i) q^{6} +(-0.664950 - 0.738502i) q^{7} +(-0.488154 - 1.50238i) q^{8} +(-3.92245 - 0.833743i) q^{9} +(-1.01233 - 0.450718i) q^{10} +(2.76908 - 0.588585i) q^{11} +(3.91958 - 2.84774i) q^{12} +(1.90193 - 3.06311i) q^{13} +(-0.126663 - 0.389830i) q^{14} +(0.743528 - 7.07420i) q^{15} +(-0.314439 + 2.99168i) q^{16} +(-6.04928 - 1.28581i) q^{17} +(-1.33814 - 0.972216i) q^{18} +(-0.535777 - 5.09758i) q^{19} +(3.28952 + 3.65338i) q^{20} +(2.12862 - 1.54653i) q^{21} +(1.14216 + 0.242773i) q^{22} +(1.46123 - 1.62286i) q^{23} +(4.09111 - 0.869591i) q^{24} +2.21776 q^{25} +(1.23055 - 0.835127i) q^{26} +(0.826422 - 2.54346i) q^{27} +(-0.190078 + 1.80848i) q^{28} +(-9.26032 - 4.12296i) q^{29} +(1.46698 - 2.54088i) q^{30} +(0.595710 + 5.53580i) q^{31} +(-2.20009 + 3.81066i) q^{32} +(0.783478 + 7.45429i) q^{33} +(-2.06370 - 1.49937i) q^{34} +(1.78645 + 1.98405i) q^{35} +(3.66897 + 6.35484i) q^{36} +(-1.98841 - 3.44402i) q^{37} +(0.653315 - 2.01070i) q^{38} +(7.53927 + 5.85581i) q^{39} +(1.31147 + 4.03629i) q^{40} +(0.657281 + 0.292640i) q^{41} +(1.06154 - 0.225636i) q^{42} +(-0.103391 - 0.983696i) q^{43} +(-4.19091 - 3.04487i) q^{44} +(10.5380 + 2.23993i) q^{45} +(0.822863 - 0.366362i) q^{46} +(-1.89809 - 1.37904i) q^{47} +(-7.79054 - 1.65593i) q^{48} +(0.628473 - 5.97952i) q^{49} +(0.835672 + 0.372065i) q^{50} +(5.05991 - 15.5728i) q^{51} +(-6.49417 + 1.16418i) q^{52} +(2.32689 + 7.16143i) q^{53} +(0.738110 - 0.819754i) q^{54} +(-7.43937 + 1.58129i) q^{55} +(-0.784915 + 1.35951i) q^{56} +13.5710 q^{57} +(-2.79768 - 3.10713i) q^{58} +(-7.99484 + 3.55953i) q^{59} +(-10.5303 + 7.65071i) q^{60} +(-1.92632 + 3.33648i) q^{61} +(-0.704251 + 2.18588i) q^{62} +(1.99252 + 3.45114i) q^{63} +(3.39900 - 2.46952i) q^{64} +(-5.10971 + 8.22932i) q^{65} +(-0.955355 + 2.94028i) q^{66} +(-0.577950 - 1.00104i) q^{67} +(5.65834 + 9.80054i) q^{68} +(3.86883 + 4.29677i) q^{69} +(0.340292 + 1.04731i) q^{70} +(-2.68767 - 0.571281i) q^{71} +(0.662160 + 6.30003i) q^{72} +(-1.06896 + 3.28992i) q^{73} +(-0.171459 - 1.63132i) q^{74} +(-0.613778 + 5.83971i) q^{75} +(-6.27597 + 6.97017i) q^{76} +(-2.27597 - 1.65359i) q^{77} +(1.85845 + 3.47135i) q^{78} +(-4.34677 - 13.3780i) q^{79} +(0.844768 - 8.03743i) q^{80} +(-4.52157 - 2.01313i) q^{81} +(0.198574 + 0.220539i) q^{82} +(-0.880226 + 0.639521i) q^{83} +(-4.70939 - 1.00101i) q^{84} +(16.2519 + 3.45445i) q^{85} +(0.126072 - 0.388010i) q^{86} +(13.4192 - 23.2428i) q^{87} +(-2.23602 - 3.87289i) q^{88} +(-10.8619 + 2.30877i) q^{89} +(3.59503 + 2.61195i) q^{90} +(-3.52680 + 0.632235i) q^{91} -3.99601 q^{92} +(-14.7415 + 0.0365301i) q^{93} +(-0.483860 - 0.838070i) q^{94} +(1.43941 + 13.6951i) q^{95} +(-9.42516 - 6.84778i) q^{96} +(8.48003 + 9.41803i) q^{97} +(1.23997 - 2.14770i) q^{98} -11.3523 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.376809 + 0.167766i 0.266444 + 0.118628i 0.535610 0.844465i \(-0.320082\pi\)
−0.269167 + 0.963094i \(0.586748\pi\)
\(3\) −0.276755 + 2.63315i −0.159785 + 1.52025i 0.561421 + 0.827530i \(0.310255\pi\)
−0.721206 + 0.692721i \(0.756412\pi\)
\(4\) −1.22442 1.35986i −0.612211 0.679929i
\(5\) −2.68659 −1.20148 −0.600740 0.799445i \(-0.705127\pi\)
−0.600740 + 0.799445i \(0.705127\pi\)
\(6\) −0.546037 + 0.945764i −0.222919 + 0.386107i
\(7\) −0.664950 0.738502i −0.251327 0.279127i 0.604258 0.796788i \(-0.293470\pi\)
−0.855586 + 0.517661i \(0.826803\pi\)
\(8\) −0.488154 1.50238i −0.172589 0.531173i
\(9\) −3.92245 0.833743i −1.30748 0.277914i
\(10\) −1.01233 0.450718i −0.320127 0.142530i
\(11\) 2.76908 0.588585i 0.834908 0.177465i 0.229428 0.973326i \(-0.426315\pi\)
0.605480 + 0.795861i \(0.292981\pi\)
\(12\) 3.91958 2.84774i 1.13149 0.822072i
\(13\) 1.90193 3.06311i 0.527501 0.849554i
\(14\) −0.126663 0.389830i −0.0338522 0.104186i
\(15\) 0.743528 7.07420i 0.191978 1.82655i
\(16\) −0.314439 + 2.99168i −0.0786097 + 0.747921i
\(17\) −6.04928 1.28581i −1.46717 0.311856i −0.596055 0.802943i \(-0.703266\pi\)
−0.871110 + 0.491088i \(0.836599\pi\)
\(18\) −1.33814 0.972216i −0.315403 0.229154i
\(19\) −0.535777 5.09758i −0.122916 1.16946i −0.865922 0.500180i \(-0.833267\pi\)
0.743006 0.669285i \(-0.233399\pi\)
\(20\) 3.28952 + 3.65338i 0.735559 + 0.816921i
\(21\) 2.12862 1.54653i 0.464502 0.337481i
\(22\) 1.14216 + 0.242773i 0.243508 + 0.0517593i
\(23\) 1.46123 1.62286i 0.304687 0.338389i −0.571285 0.820752i \(-0.693555\pi\)
0.875971 + 0.482363i \(0.160221\pi\)
\(24\) 4.09111 0.869591i 0.835093 0.177505i
\(25\) 2.21776 0.443553
\(26\) 1.23055 0.835127i 0.241331 0.163782i
\(27\) 0.826422 2.54346i 0.159045 0.489490i
\(28\) −0.190078 + 1.80848i −0.0359214 + 0.341770i
\(29\) −9.26032 4.12296i −1.71960 0.765614i −0.997252 0.0740828i \(-0.976397\pi\)
−0.722346 0.691532i \(-0.756936\pi\)
\(30\) 1.46698 2.54088i 0.267832 0.463899i
\(31\) 0.595710 + 5.53580i 0.106993 + 0.994260i
\(32\) −2.20009 + 3.81066i −0.388924 + 0.673636i
\(33\) 0.783478 + 7.45429i 0.136386 + 1.29763i
\(34\) −2.06370 1.49937i −0.353922 0.257140i
\(35\) 1.78645 + 1.98405i 0.301965 + 0.335366i
\(36\) 3.66897 + 6.35484i 0.611494 + 1.05914i
\(37\) −1.98841 3.44402i −0.326892 0.566193i 0.655002 0.755628i \(-0.272668\pi\)
−0.981893 + 0.189434i \(0.939335\pi\)
\(38\) 0.653315 2.01070i 0.105982 0.326178i
\(39\) 7.53927 + 5.85581i 1.20725 + 0.937680i
\(40\) 1.31147 + 4.03629i 0.207362 + 0.638193i
\(41\) 0.657281 + 0.292640i 0.102650 + 0.0457027i 0.457419 0.889251i \(-0.348774\pi\)
−0.354769 + 0.934954i \(0.615441\pi\)
\(42\) 1.06154 0.225636i 0.163799 0.0348165i
\(43\) −0.103391 0.983696i −0.0157669 0.150012i 0.983806 0.179237i \(-0.0573628\pi\)
−0.999573 + 0.0292247i \(0.990696\pi\)
\(44\) −4.19091 3.04487i −0.631803 0.459032i
\(45\) 10.5380 + 2.23993i 1.57092 + 0.333909i
\(46\) 0.822863 0.366362i 0.121324 0.0540171i
\(47\) −1.89809 1.37904i −0.276865 0.201154i 0.440684 0.897662i \(-0.354736\pi\)
−0.717549 + 0.696508i \(0.754736\pi\)
\(48\) −7.79054 1.65593i −1.12447 0.239013i
\(49\) 0.628473 5.97952i 0.0897818 0.854217i
\(50\) 0.835672 + 0.372065i 0.118182 + 0.0526180i
\(51\) 5.05991 15.5728i 0.708530 2.18063i
\(52\) −6.49417 + 1.16418i −0.900579 + 0.161443i
\(53\) 2.32689 + 7.16143i 0.319623 + 0.983698i 0.973810 + 0.227365i \(0.0730111\pi\)
−0.654187 + 0.756333i \(0.726989\pi\)
\(54\) 0.738110 0.819754i 0.100444 0.111554i
\(55\) −7.43937 + 1.58129i −1.00312 + 0.213221i
\(56\) −0.784915 + 1.35951i −0.104889 + 0.181673i
\(57\) 13.5710 1.79752
\(58\) −2.79768 3.10713i −0.367353 0.407987i
\(59\) −7.99484 + 3.55953i −1.04084 + 0.463412i −0.854706 0.519113i \(-0.826262\pi\)
−0.186134 + 0.982524i \(0.559596\pi\)
\(60\) −10.5303 + 7.65071i −1.35946 + 0.987703i
\(61\) −1.92632 + 3.33648i −0.246639 + 0.427192i −0.962591 0.270958i \(-0.912660\pi\)
0.715952 + 0.698150i \(0.245993\pi\)
\(62\) −0.704251 + 2.18588i −0.0894400 + 0.277607i
\(63\) 1.99252 + 3.45114i 0.251033 + 0.434802i
\(64\) 3.39900 2.46952i 0.424875 0.308690i
\(65\) −5.10971 + 8.22932i −0.633782 + 1.02072i
\(66\) −0.955355 + 2.94028i −0.117596 + 0.361924i
\(67\) −0.577950 1.00104i −0.0706079 0.122296i 0.828560 0.559900i \(-0.189161\pi\)
−0.899168 + 0.437604i \(0.855827\pi\)
\(68\) 5.65834 + 9.80054i 0.686175 + 1.18849i
\(69\) 3.86883 + 4.29677i 0.465752 + 0.517270i
\(70\) 0.340292 + 1.04731i 0.0406727 + 0.125178i
\(71\) −2.68767 0.571281i −0.318967 0.0677986i 0.0456458 0.998958i \(-0.485465\pi\)
−0.364613 + 0.931159i \(0.618799\pi\)
\(72\) 0.662160 + 6.30003i 0.0780363 + 0.742465i
\(73\) −1.06896 + 3.28992i −0.125112 + 0.385056i −0.993922 0.110091i \(-0.964886\pi\)
0.868809 + 0.495147i \(0.164886\pi\)
\(74\) −0.171459 1.63132i −0.0199317 0.189637i
\(75\) −0.613778 + 5.83971i −0.0708730 + 0.674311i
\(76\) −6.27597 + 6.97017i −0.719903 + 0.799533i
\(77\) −2.27597 1.65359i −0.259371 0.188444i
\(78\) 1.85845 + 3.47135i 0.210429 + 0.393053i
\(79\) −4.34677 13.3780i −0.489050 1.50514i −0.826028 0.563629i \(-0.809405\pi\)
0.336978 0.941513i \(-0.390595\pi\)
\(80\) 0.844768 8.03743i 0.0944479 0.898612i
\(81\) −4.52157 2.01313i −0.502397 0.223681i
\(82\) 0.198574 + 0.220539i 0.0219288 + 0.0243544i
\(83\) −0.880226 + 0.639521i −0.0966173 + 0.0701966i −0.635045 0.772475i \(-0.719018\pi\)
0.538428 + 0.842672i \(0.319018\pi\)
\(84\) −4.70939 1.00101i −0.513836 0.109219i
\(85\) 16.2519 + 3.45445i 1.76277 + 0.374688i
\(86\) 0.126072 0.388010i 0.0135947 0.0418402i
\(87\) 13.4192 23.2428i 1.43869 2.49189i
\(88\) −2.23602 3.87289i −0.238360 0.412852i
\(89\) −10.8619 + 2.30877i −1.15136 + 0.244729i −0.743770 0.668436i \(-0.766964\pi\)
−0.407590 + 0.913165i \(0.633631\pi\)
\(90\) 3.59503 + 2.61195i 0.378950 + 0.275323i
\(91\) −3.52680 + 0.632235i −0.369709 + 0.0662762i
\(92\) −3.99601 −0.416613
\(93\) −14.7415 + 0.0365301i −1.52862 + 0.00378800i
\(94\) −0.483860 0.838070i −0.0499063 0.0864403i
\(95\) 1.43941 + 13.6951i 0.147681 + 1.40509i
\(96\) −9.42516 6.84778i −0.961952 0.698899i
\(97\) 8.48003 + 9.41803i 0.861017 + 0.956256i 0.999418 0.0341204i \(-0.0108630\pi\)
−0.138401 + 0.990376i \(0.544196\pi\)
\(98\) 1.23997 2.14770i 0.125256 0.216950i
\(99\) −11.3523 −1.14095
\(100\) −2.71548 3.01584i −0.271548 0.301584i
\(101\) 9.38640 10.4247i 0.933982 1.03729i −0.0652411 0.997870i \(-0.520782\pi\)
0.999223 0.0394220i \(-0.0125517\pi\)
\(102\) 4.51921 5.01909i 0.447468 0.496964i
\(103\) 11.1567 8.10581i 1.09930 0.798689i 0.118356 0.992971i \(-0.462238\pi\)
0.980946 + 0.194282i \(0.0622377\pi\)
\(104\) −5.53041 1.36216i −0.542301 0.133571i
\(105\) −5.71872 + 4.15489i −0.558090 + 0.405476i
\(106\) −0.324652 + 3.08886i −0.0315330 + 0.300017i
\(107\) 1.52320 1.69169i 0.147253 0.163542i −0.665006 0.746838i \(-0.731571\pi\)
0.812259 + 0.583297i \(0.198238\pi\)
\(108\) −4.47064 + 1.99046i −0.430188 + 0.191532i
\(109\) 11.6934 + 8.49578i 1.12003 + 0.813748i 0.984213 0.176986i \(-0.0566349\pi\)
0.135815 + 0.990734i \(0.456635\pi\)
\(110\) −3.06850 0.652231i −0.292570 0.0621877i
\(111\) 9.61893 4.28262i 0.912988 0.406489i
\(112\) 2.41845 1.75711i 0.228522 0.166031i
\(113\) 4.34986 + 4.83101i 0.409200 + 0.454463i 0.912152 0.409851i \(-0.134419\pi\)
−0.502952 + 0.864314i \(0.667753\pi\)
\(114\) 5.11366 + 2.27675i 0.478938 + 0.213237i
\(115\) −3.92572 + 4.35995i −0.366075 + 0.406567i
\(116\) 5.73190 + 17.6410i 0.532193 + 1.63792i
\(117\) −10.0141 + 10.4292i −0.925803 + 0.964179i
\(118\) −3.60969 −0.332299
\(119\) 3.07289 + 5.32240i 0.281692 + 0.487904i
\(120\) −10.9911 + 2.33623i −1.00335 + 0.213268i
\(121\) −2.72766 + 1.21443i −0.247969 + 0.110403i
\(122\) −1.28560 + 0.934043i −0.116393 + 0.0845642i
\(123\) −0.952472 + 1.64973i −0.0858815 + 0.148751i
\(124\) 6.79851 7.58824i 0.610524 0.681444i
\(125\) 7.47473 0.668560
\(126\) 0.171813 + 1.63469i 0.0153063 + 0.145630i
\(127\) 1.24577 11.8527i 0.110544 1.05176i −0.788840 0.614599i \(-0.789318\pi\)
0.899384 0.437159i \(-0.144015\pi\)
\(128\) 10.3031 2.18999i 0.910675 0.193570i
\(129\) 2.61883 0.230575
\(130\) −3.30598 + 2.24364i −0.289954 + 0.196780i
\(131\) −6.52148 + 20.0710i −0.569784 + 1.75361i 0.0835062 + 0.996507i \(0.473388\pi\)
−0.653290 + 0.757108i \(0.726612\pi\)
\(132\) 9.17747 10.1926i 0.798796 0.887153i
\(133\) −3.40831 + 3.78531i −0.295538 + 0.328228i
\(134\) −0.0498363 0.474161i −0.00430520 0.0409612i
\(135\) −2.22026 + 6.83325i −0.191089 + 0.588112i
\(136\) 1.02119 + 9.71601i 0.0875667 + 0.833141i
\(137\) 10.6239 4.73006i 0.907661 0.404117i 0.100833 0.994903i \(-0.467849\pi\)
0.806828 + 0.590787i \(0.201183\pi\)
\(138\) 0.736955 + 2.26812i 0.0627338 + 0.193075i
\(139\) −10.4649 + 4.65927i −0.887620 + 0.395194i −0.799324 0.600901i \(-0.794809\pi\)
−0.0882959 + 0.996094i \(0.528142\pi\)
\(140\) 0.510663 4.85863i 0.0431589 0.410629i
\(141\) 4.15653 4.61630i 0.350043 0.388763i
\(142\) −0.916894 0.666163i −0.0769441 0.0559031i
\(143\) 3.46369 9.60143i 0.289649 0.802912i
\(144\) 3.72767 11.4726i 0.310639 0.956049i
\(145\) 24.8787 + 11.0767i 2.06606 + 0.919870i
\(146\) −0.954730 + 1.06034i −0.0790140 + 0.0877540i
\(147\) 15.5711 + 3.30973i 1.28428 + 0.272982i
\(148\) −2.24873 + 6.92088i −0.184845 + 0.568893i
\(149\) −2.00214 + 3.46780i −0.164021 + 0.284093i −0.936307 0.351182i \(-0.885780\pi\)
0.772286 + 0.635275i \(0.219113\pi\)
\(150\) −1.21098 + 2.09748i −0.0988762 + 0.171259i
\(151\) 2.97480 9.15548i 0.242086 0.745063i −0.754017 0.656855i \(-0.771886\pi\)
0.996102 0.0882073i \(-0.0281138\pi\)
\(152\) −7.39698 + 3.29335i −0.599974 + 0.267126i
\(153\) 22.6560 + 10.0871i 1.83163 + 0.815493i
\(154\) −0.580188 1.00492i −0.0467529 0.0809784i
\(155\) −1.60043 14.8724i −0.128549 1.19458i
\(156\) −1.26817 17.4223i −0.101535 1.39490i
\(157\) 8.52552 6.19415i 0.680411 0.494347i −0.193083 0.981182i \(-0.561849\pi\)
0.873494 + 0.486835i \(0.161849\pi\)
\(158\) 0.606471 5.77018i 0.0482482 0.459051i
\(159\) −19.5011 + 4.14509i −1.54654 + 0.328727i
\(160\) 5.91073 10.2377i 0.467284 0.809360i
\(161\) −2.17013 −0.171030
\(162\) −1.36603 1.51713i −0.107326 0.119197i
\(163\) −19.8008 4.20880i −1.55092 0.329659i −0.648738 0.761012i \(-0.724703\pi\)
−0.902183 + 0.431353i \(0.858036\pi\)
\(164\) −0.406840 1.25212i −0.0317688 0.0977744i
\(165\) −2.10488 20.0266i −0.163865 1.55907i
\(166\) −0.438966 + 0.0933052i −0.0340704 + 0.00724189i
\(167\) 18.4939 + 8.23403i 1.43110 + 0.637168i 0.968413 0.249352i \(-0.0802175\pi\)
0.462690 + 0.886520i \(0.346884\pi\)
\(168\) −3.36257 2.44305i −0.259428 0.188486i
\(169\) −5.76530 11.6517i −0.443485 0.896282i
\(170\) 5.54433 + 4.02819i 0.425230 + 0.308948i
\(171\) −2.14851 + 20.4417i −0.164301 + 1.56322i
\(172\) −1.21109 + 1.34505i −0.0923450 + 0.102559i
\(173\) −9.61980 + 4.28301i −0.731380 + 0.325631i −0.738417 0.674344i \(-0.764426\pi\)
0.00703769 + 0.999975i \(0.497760\pi\)
\(174\) 8.95583 6.50679i 0.678939 0.493278i
\(175\) −1.47470 1.63782i −0.111477 0.123808i
\(176\) 0.890156 + 8.46927i 0.0670981 + 0.638395i
\(177\) −7.16017 22.0368i −0.538192 1.65638i
\(178\) −4.48019 0.952294i −0.335805 0.0713775i
\(179\) −11.7379 + 2.49496i −0.877330 + 0.186482i −0.624497 0.781027i \(-0.714696\pi\)
−0.252834 + 0.967510i \(0.581363\pi\)
\(180\) −9.85701 17.0728i −0.734698 1.27253i
\(181\) 6.29287 0.467745 0.233873 0.972267i \(-0.424860\pi\)
0.233873 + 0.972267i \(0.424860\pi\)
\(182\) −1.43500 0.353446i −0.106369 0.0261992i
\(183\) −8.25233 5.99567i −0.610030 0.443213i
\(184\) −3.15146 1.40312i −0.232329 0.103439i
\(185\) 5.34203 + 9.25267i 0.392754 + 0.680270i
\(186\) −5.56084 2.45935i −0.407741 0.180329i
\(187\) −17.5077 −1.28029
\(188\) 0.448760 + 4.26966i 0.0327292 + 0.311397i
\(189\) −2.42788 + 1.08096i −0.176602 + 0.0786285i
\(190\) −1.75519 + 5.40191i −0.127335 + 0.391896i
\(191\) 10.9185 18.9114i 0.790035 1.36838i −0.135910 0.990721i \(-0.543396\pi\)
0.925945 0.377659i \(-0.123271\pi\)
\(192\) 5.56193 + 9.63354i 0.401397 + 0.695241i
\(193\) 20.1680 4.28684i 1.45172 0.308573i 0.586496 0.809952i \(-0.300507\pi\)
0.865228 + 0.501379i \(0.167174\pi\)
\(194\) 1.61532 + 4.97145i 0.115973 + 0.356930i
\(195\) −20.2549 15.7322i −1.45048 1.12660i
\(196\) −8.90082 + 6.46682i −0.635773 + 0.461916i
\(197\) −0.431433 + 0.0917038i −0.0307383 + 0.00653363i −0.223255 0.974760i \(-0.571668\pi\)
0.192517 + 0.981294i \(0.438335\pi\)
\(198\) −4.27764 1.90453i −0.303999 0.135349i
\(199\) −12.8271 + 5.71101i −0.909291 + 0.404843i −0.807435 0.589957i \(-0.799145\pi\)
−0.101856 + 0.994799i \(0.532478\pi\)
\(200\) −1.08261 3.33193i −0.0765521 0.235603i
\(201\) 2.79584 1.24479i 0.197203 0.0878006i
\(202\) 5.28578 2.35338i 0.371906 0.165583i
\(203\) 3.11284 + 9.58032i 0.218478 + 0.672407i
\(204\) −27.3723 + 12.1869i −1.91644 + 0.853256i
\(205\) −1.76584 0.786204i −0.123332 0.0549109i
\(206\) 5.56382 1.18263i 0.387649 0.0823974i
\(207\) −7.08464 + 5.14729i −0.492417 + 0.357762i
\(208\) 8.56582 + 6.65315i 0.593933 + 0.461313i
\(209\) −4.48396 13.8002i −0.310162 0.954582i
\(210\) −2.85191 + 0.606192i −0.196801 + 0.0418313i
\(211\) −9.62889 16.6777i −0.662880 1.14814i −0.979855 0.199709i \(-0.936000\pi\)
0.316975 0.948434i \(-0.397333\pi\)
\(212\) 6.88944 11.9329i 0.473168 0.819552i
\(213\) 2.24810 6.91893i 0.154037 0.474077i
\(214\) 0.857763 0.381901i 0.0586355 0.0261062i
\(215\) 0.277768 + 2.64279i 0.0189436 + 0.180237i
\(216\) −4.22468 −0.287453
\(217\) 3.69208 4.12097i 0.250635 0.279749i
\(218\) 2.98088 + 5.16304i 0.201891 + 0.349685i
\(219\) −8.36702 3.72524i −0.565391 0.251728i
\(220\) 11.2593 + 8.18032i 0.759099 + 0.551517i
\(221\) −15.4439 + 16.0841i −1.03887 + 1.08193i
\(222\) 4.34297 0.291481
\(223\) 3.30381 + 5.72237i 0.221239 + 0.383198i 0.955185 0.296011i \(-0.0956564\pi\)
−0.733945 + 0.679209i \(0.762323\pi\)
\(224\) 4.27713 0.909131i 0.285778 0.0607439i
\(225\) −8.69908 1.84905i −0.579938 0.123270i
\(226\) 0.828585 + 2.55012i 0.0551167 + 0.169632i
\(227\) 1.41589 + 13.4713i 0.0939761 + 0.894123i 0.935363 + 0.353690i \(0.115073\pi\)
−0.841387 + 0.540434i \(0.818260\pi\)
\(228\) −16.6166 18.4546i −1.10046 1.22219i
\(229\) −8.34960 + 6.06634i −0.551757 + 0.400875i −0.828433 0.560088i \(-0.810767\pi\)
0.276676 + 0.960963i \(0.410767\pi\)
\(230\) −2.21069 + 0.984265i −0.145769 + 0.0649005i
\(231\) 4.98403 5.53533i 0.327925 0.364198i
\(232\) −1.67381 + 15.9252i −0.109891 + 1.04554i
\(233\) −16.7195 12.1474i −1.09533 0.795802i −0.115037 0.993361i \(-0.536699\pi\)
−0.980291 + 0.197559i \(0.936699\pi\)
\(234\) −5.52306 + 2.24978i −0.361054 + 0.147073i
\(235\) 5.09939 + 3.70492i 0.332647 + 0.241682i
\(236\) 14.6295 + 6.51348i 0.952300 + 0.423991i
\(237\) 36.4293 7.74328i 2.36634 0.502980i
\(238\) 0.264973 + 2.52105i 0.0171757 + 0.163416i
\(239\) −0.127678 0.392951i −0.00825878 0.0254179i 0.946842 0.321698i \(-0.104254\pi\)
−0.955101 + 0.296280i \(0.904254\pi\)
\(240\) 20.9300 + 4.44880i 1.35102 + 0.287169i
\(241\) −17.8968 19.8764i −1.15283 1.28035i −0.953828 0.300353i \(-0.902895\pi\)
−0.199006 0.979998i \(-0.563771\pi\)
\(242\) −1.23154 −0.0791667
\(243\) 10.5638 18.2970i 0.677667 1.17375i
\(244\) 6.89576 1.46574i 0.441456 0.0938343i
\(245\) −1.68845 + 16.0645i −0.107871 + 1.02632i
\(246\) −0.635668 + 0.461840i −0.0405287 + 0.0294458i
\(247\) −16.6335 8.05411i −1.05836 0.512471i
\(248\) 8.02611 3.59731i 0.509658 0.228429i
\(249\) −1.44035 2.49476i −0.0912785 0.158099i
\(250\) 2.81654 + 1.25401i 0.178134 + 0.0793102i
\(251\) −10.2976 + 4.58476i −0.649976 + 0.289388i −0.705117 0.709091i \(-0.749106\pi\)
0.0551416 + 0.998479i \(0.482439\pi\)
\(252\) 2.25338 6.93519i 0.141950 0.436876i
\(253\) 3.09106 5.35387i 0.194333 0.336595i
\(254\) 2.45790 4.25720i 0.154222 0.267121i
\(255\) −13.5939 + 41.8378i −0.851284 + 2.61998i
\(256\) −3.96946 0.843736i −0.248092 0.0527335i
\(257\) −0.984698 + 1.09362i −0.0614238 + 0.0682180i −0.773074 0.634316i \(-0.781282\pi\)
0.711650 + 0.702534i \(0.247948\pi\)
\(258\) 0.986799 + 0.439351i 0.0614354 + 0.0273528i
\(259\) −1.22122 + 3.75854i −0.0758832 + 0.233544i
\(260\) 17.4472 3.12768i 1.08203 0.193970i
\(261\) 32.8857 + 23.8929i 2.03557 + 1.47893i
\(262\) −5.82459 + 6.46886i −0.359844 + 0.399647i
\(263\) 2.06763 19.6722i 0.127496 1.21304i −0.724418 0.689360i \(-0.757892\pi\)
0.851914 0.523681i \(-0.175442\pi\)
\(264\) 10.8167 4.81593i 0.665725 0.296400i
\(265\) −6.25140 19.2398i −0.384020 1.18189i
\(266\) −1.91932 + 0.854538i −0.117681 + 0.0523951i
\(267\) −3.07325 29.2400i −0.188080 1.78946i
\(268\) −0.653617 + 2.01162i −0.0399260 + 0.122880i
\(269\) 2.22196 + 21.1405i 0.135475 + 1.28896i 0.825180 + 0.564870i \(0.191074\pi\)
−0.689705 + 0.724091i \(0.742260\pi\)
\(270\) −1.98300 + 2.20234i −0.120681 + 0.134030i
\(271\) 7.64468 8.49028i 0.464381 0.515748i −0.464778 0.885427i \(-0.653866\pi\)
0.929159 + 0.369680i \(0.120533\pi\)
\(272\) 5.74888 17.6932i 0.348577 1.07281i
\(273\) −0.688708 9.46159i −0.0416825 0.572641i
\(274\) 4.79672 0.289780
\(275\) 6.14115 1.30534i 0.370325 0.0787151i
\(276\) 1.10592 10.5221i 0.0665685 0.633357i
\(277\) −0.638310 6.07312i −0.0383523 0.364898i −0.996819 0.0796946i \(-0.974605\pi\)
0.958467 0.285204i \(-0.0920612\pi\)
\(278\) −4.72492 −0.283382
\(279\) 2.27880 22.2106i 0.136428 1.32971i
\(280\) 2.10874 3.65245i 0.126022 0.218276i
\(281\) −22.1844 + 16.1179i −1.32341 + 0.961513i −0.323526 + 0.946219i \(0.604868\pi\)
−0.999883 + 0.0152941i \(0.995132\pi\)
\(282\) 2.34068 1.04214i 0.139385 0.0620583i
\(283\) 14.5627 3.09539i 0.865662 0.184002i 0.246382 0.969173i \(-0.420758\pi\)
0.619279 + 0.785171i \(0.287425\pi\)
\(284\) 2.51398 + 4.35434i 0.149177 + 0.258382i
\(285\) −36.4596 −2.15968
\(286\) 2.91594 3.03681i 0.172423 0.179570i
\(287\) −0.220943 0.679994i −0.0130419 0.0401388i
\(288\) 11.8069 13.1128i 0.695725 0.772681i
\(289\) 19.4102 + 8.64197i 1.14178 + 0.508351i
\(290\) 7.51621 + 8.34759i 0.441367 + 0.490187i
\(291\) −27.1460 + 19.7227i −1.59133 + 1.15617i
\(292\) 5.78269 2.57462i 0.338406 0.150668i
\(293\) −9.71918 2.06588i −0.567801 0.120690i −0.0849386 0.996386i \(-0.527069\pi\)
−0.482862 + 0.875696i \(0.660403\pi\)
\(294\) 5.31205 + 3.85943i 0.309805 + 0.225086i
\(295\) 21.4789 9.56300i 1.25055 0.556779i
\(296\) −4.20359 + 4.66856i −0.244329 + 0.271355i
\(297\) 0.791379 7.52946i 0.0459204 0.436904i
\(298\) −1.33620 + 0.970807i −0.0774040 + 0.0562373i
\(299\) −2.19183 7.56246i −0.126757 0.437349i
\(300\) 8.69270 6.31562i 0.501873 0.364632i
\(301\) −0.657711 + 0.730462i −0.0379099 + 0.0421032i
\(302\) 2.65691 2.95079i 0.152888 0.169799i
\(303\) 24.8520 + 27.6009i 1.42771 + 1.58563i
\(304\) 15.4188 0.884330
\(305\) 5.17522 8.96374i 0.296332 0.513262i
\(306\) 6.84470 + 7.60181i 0.391285 + 0.434566i
\(307\) 17.1470 + 12.4580i 0.978633 + 0.711018i 0.957403 0.288756i \(-0.0932417\pi\)
0.0212301 + 0.999775i \(0.493242\pi\)
\(308\) 0.538100 + 5.11968i 0.0306611 + 0.291721i
\(309\) 18.2562 + 31.6206i 1.03856 + 1.79883i
\(310\) 1.89203 5.87256i 0.107460 0.333539i
\(311\) 2.94190 0.166820 0.0834099 0.996515i \(-0.473419\pi\)
0.0834099 + 0.996515i \(0.473419\pi\)
\(312\) 5.11735 14.1854i 0.289713 0.803091i
\(313\) 4.73859 + 3.44279i 0.267841 + 0.194598i 0.713597 0.700557i \(-0.247065\pi\)
−0.445756 + 0.895155i \(0.647065\pi\)
\(314\) 4.25166 0.903718i 0.239935 0.0509997i
\(315\) −5.35307 9.27179i −0.301611 0.522406i
\(316\) −12.8699 + 22.2913i −0.723988 + 1.25398i
\(317\) 2.01519 6.20211i 0.113184 0.348345i −0.878380 0.477963i \(-0.841375\pi\)
0.991564 + 0.129618i \(0.0413751\pi\)
\(318\) −8.04359 1.70972i −0.451062 0.0958763i
\(319\) −28.0692 5.96630i −1.57158 0.334049i
\(320\) −9.13172 + 6.63458i −0.510479 + 0.370884i
\(321\) 4.03291 + 4.47901i 0.225095 + 0.249994i
\(322\) −0.817722 0.364073i −0.0455698 0.0202890i
\(323\) −3.31347 + 31.5256i −0.184366 + 1.75413i
\(324\) 2.79873 + 8.61362i 0.155485 + 0.478534i
\(325\) 4.21804 6.79325i 0.233975 0.376822i
\(326\) −6.75503 4.90782i −0.374127 0.271819i
\(327\) −25.6069 + 28.4393i −1.41606 + 1.57270i
\(328\) 0.118804 1.13034i 0.00655984 0.0624127i
\(329\) 0.243709 + 2.31874i 0.0134361 + 0.127836i
\(330\) 2.56665 7.89933i 0.141289 0.434844i
\(331\) −1.39300 13.2536i −0.0765665 0.728481i −0.963703 0.266975i \(-0.913976\pi\)
0.887137 0.461506i \(-0.152691\pi\)
\(332\) 1.94743 + 0.413938i 0.106879 + 0.0227178i
\(333\) 4.92800 + 15.1668i 0.270053 + 0.831137i
\(334\) 5.58728 + 6.20530i 0.305722 + 0.339539i
\(335\) 1.55272 + 2.68938i 0.0848339 + 0.146937i
\(336\) 3.95741 + 6.85444i 0.215894 + 0.373940i
\(337\) 7.26725 22.3663i 0.395872 1.21837i −0.532408 0.846488i \(-0.678713\pi\)
0.928280 0.371882i \(-0.121287\pi\)
\(338\) −0.217661 5.35767i −0.0118392 0.291419i
\(339\) −13.9246 + 10.1168i −0.756282 + 0.549471i
\(340\) −15.2016 26.3300i −0.824425 1.42795i
\(341\) 4.90786 + 14.9784i 0.265775 + 0.811128i
\(342\) −4.23900 + 7.34217i −0.229219 + 0.397019i
\(343\) −10.4615 + 7.60074i −0.564869 + 0.410402i
\(344\) −1.42742 + 0.635527i −0.0769612 + 0.0342653i
\(345\) −10.3939 11.5436i −0.559591 0.621489i
\(346\) −4.34336 −0.233501
\(347\) 4.45860 7.72253i 0.239350 0.414567i −0.721178 0.692750i \(-0.756399\pi\)
0.960528 + 0.278183i \(0.0897322\pi\)
\(348\) −48.0377 + 10.2107i −2.57509 + 0.547352i
\(349\) 19.5298 21.6900i 1.04540 1.16104i 0.0587392 0.998273i \(-0.481292\pi\)
0.986665 0.162765i \(-0.0520414\pi\)
\(350\) −0.280909 0.864550i −0.0150152 0.0462121i
\(351\) −6.21912 7.36892i −0.331952 0.393324i
\(352\) −3.84931 + 11.8469i −0.205169 + 0.631444i
\(353\) 23.3556 + 10.3986i 1.24310 + 0.553462i 0.919633 0.392779i \(-0.128486\pi\)
0.323463 + 0.946241i \(0.395153\pi\)
\(354\) 0.999002 9.50487i 0.0530964 0.505178i
\(355\) 7.22066 + 1.53480i 0.383233 + 0.0814586i
\(356\) 16.4392 + 11.9437i 0.871274 + 0.633017i
\(357\) −14.8651 + 6.61839i −0.786747 + 0.350282i
\(358\) −4.84150 1.02909i −0.255881 0.0543893i
\(359\) 1.15597 + 0.839862i 0.0610098 + 0.0443262i 0.617872 0.786279i \(-0.287995\pi\)
−0.556862 + 0.830605i \(0.687995\pi\)
\(360\) −1.77895 16.9256i −0.0937590 0.892057i
\(361\) −7.11344 + 1.51201i −0.374391 + 0.0795794i
\(362\) 2.37121 + 1.05573i 0.124628 + 0.0554879i
\(363\) −2.44289 7.51843i −0.128218 0.394615i
\(364\) 5.17805 + 4.02183i 0.271403 + 0.210801i
\(365\) 2.87186 8.83867i 0.150320 0.462637i
\(366\) −2.10368 3.64368i −0.109961 0.190458i
\(367\) −8.15541 14.1256i −0.425709 0.737350i 0.570777 0.821105i \(-0.306642\pi\)
−0.996486 + 0.0837553i \(0.973309\pi\)
\(368\) 4.39561 + 4.88182i 0.229137 + 0.254482i
\(369\) −2.33417 1.69587i −0.121512 0.0882835i
\(370\) 0.460640 + 4.38269i 0.0239475 + 0.227845i
\(371\) 3.74146 6.48041i 0.194247 0.336446i
\(372\) 18.0995 + 20.0016i 0.938414 + 1.03703i
\(373\) 4.80836 8.32833i 0.248967 0.431224i −0.714272 0.699868i \(-0.753242\pi\)
0.963240 + 0.268644i \(0.0865754\pi\)
\(374\) −6.59706 2.93720i −0.341126 0.151879i
\(375\) −2.06867 + 19.6821i −0.106826 + 1.01638i
\(376\) −1.14529 + 3.52484i −0.0590639 + 0.181780i
\(377\) −30.2416 + 20.5238i −1.55752 + 1.05703i
\(378\) −1.09620 −0.0563822
\(379\) −10.9377 + 2.32489i −0.561834 + 0.119422i −0.480070 0.877230i \(-0.659389\pi\)
−0.0817641 + 0.996652i \(0.526055\pi\)
\(380\) 16.8609 18.7260i 0.864948 0.960622i
\(381\) 30.8652 + 6.56060i 1.58127 + 0.336110i
\(382\) 7.28687 5.29422i 0.372829 0.270876i
\(383\) −5.15844 5.72903i −0.263584 0.292740i 0.596796 0.802393i \(-0.296440\pi\)
−0.860380 + 0.509653i \(0.829774\pi\)
\(384\) 2.91514 + 27.7357i 0.148763 + 1.41538i
\(385\) 6.11459 + 4.44251i 0.311628 + 0.226411i
\(386\) 8.31865 + 1.76818i 0.423408 + 0.0899982i
\(387\) −0.414605 + 3.94470i −0.0210756 + 0.200520i
\(388\) 2.42405 23.0633i 0.123062 1.17086i
\(389\) 3.92221 + 12.0713i 0.198864 + 0.612041i 0.999910 + 0.0134375i \(0.00427743\pi\)
−0.801046 + 0.598603i \(0.795723\pi\)
\(390\) −4.99290 9.32610i −0.252826 0.472245i
\(391\) −10.9261 + 7.93825i −0.552555 + 0.401454i
\(392\) −9.29033 + 1.97472i −0.469232 + 0.0997384i
\(393\) −51.0452 22.7268i −2.57489 1.14642i
\(394\) −0.177952 0.0378249i −0.00896511 0.00190559i
\(395\) 11.6780 + 35.9412i 0.587584 + 1.80840i
\(396\) 13.9000 + 15.4375i 0.698502 + 0.775765i
\(397\) −14.8335 + 25.6923i −0.744470 + 1.28946i 0.205972 + 0.978558i \(0.433964\pi\)
−0.950442 + 0.310902i \(0.899369\pi\)
\(398\) −5.79149 −0.290301
\(399\) −9.02402 10.0222i −0.451766 0.501737i
\(400\) −0.697351 + 6.63485i −0.0348675 + 0.331742i
\(401\) −15.6968 6.98867i −0.783861 0.348998i −0.0245278 0.999699i \(-0.507808\pi\)
−0.759334 + 0.650702i \(0.774475\pi\)
\(402\) 1.26233 0.0629593
\(403\) 18.0898 + 8.70401i 0.901116 + 0.433577i
\(404\) −25.6690 −1.27708
\(405\) 12.1476 + 5.40846i 0.603619 + 0.268749i
\(406\) −0.434309 + 4.13218i −0.0215544 + 0.205076i
\(407\) −7.53314 8.36640i −0.373404 0.414707i
\(408\) −25.8664 −1.28058
\(409\) 6.00552 10.4019i 0.296954 0.514339i −0.678484 0.734615i \(-0.737363\pi\)
0.975438 + 0.220276i \(0.0706959\pi\)
\(410\) −0.533487 0.592497i −0.0263470 0.0292613i
\(411\) 9.51476 + 29.2834i 0.469328 + 1.44444i
\(412\) −24.6832 5.24659i −1.21606 0.258481i
\(413\) 7.94489 + 3.53729i 0.390942 + 0.174059i
\(414\) −3.53309 + 0.750982i −0.173642 + 0.0369088i
\(415\) 2.36480 1.71813i 0.116084 0.0843398i
\(416\) 7.48806 + 13.9867i 0.367132 + 0.685756i
\(417\) −9.37234 28.8451i −0.458966 1.41255i
\(418\) 0.625612 5.95230i 0.0305997 0.291136i
\(419\) −2.93643 + 27.9382i −0.143454 + 1.36487i 0.651706 + 0.758472i \(0.274054\pi\)
−0.795160 + 0.606400i \(0.792613\pi\)
\(420\) 12.6522 + 2.68931i 0.617364 + 0.131225i
\(421\) 16.8843 + 12.2672i 0.822890 + 0.597865i 0.917539 0.397646i \(-0.130173\pi\)
−0.0946489 + 0.995511i \(0.530173\pi\)
\(422\) −0.830293 7.89971i −0.0404180 0.384552i
\(423\) 6.29540 + 6.99175i 0.306093 + 0.339951i
\(424\) 9.62334 6.99176i 0.467351 0.339550i
\(425\) −13.4159 2.85163i −0.650765 0.138324i
\(426\) 2.00786 2.22996i 0.0972813 0.108042i
\(427\) 3.74490 0.796003i 0.181228 0.0385213i
\(428\) −4.16550 −0.201347
\(429\) 24.3234 + 11.7777i 1.17435 + 0.568632i
\(430\) −0.338704 + 1.04242i −0.0163338 + 0.0502702i
\(431\) −0.351822 + 3.34736i −0.0169467 + 0.161237i −0.999722 0.0235661i \(-0.992498\pi\)
0.982776 + 0.184803i \(0.0591647\pi\)
\(432\) 7.34938 + 3.27216i 0.353597 + 0.157432i
\(433\) −6.93377 + 12.0096i −0.333216 + 0.577146i −0.983140 0.182852i \(-0.941467\pi\)
0.649925 + 0.759998i \(0.274800\pi\)
\(434\) 2.08257 0.933409i 0.0999664 0.0448051i
\(435\) −36.0520 + 62.4438i −1.72856 + 2.99395i
\(436\) −2.76464 26.3038i −0.132402 1.25972i
\(437\) −9.05553 6.57923i −0.433185 0.314727i
\(438\) −2.52780 2.80740i −0.120783 0.134143i
\(439\) −12.0061 20.7952i −0.573019 0.992499i −0.996254 0.0864785i \(-0.972439\pi\)
0.423234 0.906020i \(-0.360895\pi\)
\(440\) 6.00726 + 10.4049i 0.286385 + 0.496033i
\(441\) −7.45054 + 22.9304i −0.354788 + 1.09192i
\(442\) −8.51776 + 3.46966i −0.405149 + 0.165035i
\(443\) −5.00805 15.4132i −0.237940 0.732303i −0.996718 0.0809538i \(-0.974203\pi\)
0.758778 0.651349i \(-0.225797\pi\)
\(444\) −17.6014 7.83664i −0.835325 0.371911i
\(445\) 29.1815 6.20272i 1.38334 0.294037i
\(446\) 0.284885 + 2.71050i 0.0134897 + 0.128346i
\(447\) −8.57714 6.23166i −0.405685 0.294747i
\(448\) −4.08391 0.868062i −0.192947 0.0410121i
\(449\) 16.4696 7.33274i 0.777249 0.346054i 0.0205261 0.999789i \(-0.493466\pi\)
0.756723 + 0.653736i \(0.226799\pi\)
\(450\) −2.96768 2.15614i −0.139898 0.101642i
\(451\) 1.99230 + 0.423477i 0.0938139 + 0.0199408i
\(452\) 1.24342 11.8304i 0.0584857 0.556454i
\(453\) 23.2845 + 10.3669i 1.09400 + 0.487081i
\(454\) −1.72651 + 5.31365i −0.0810291 + 0.249382i
\(455\) 9.47507 1.69855i 0.444198 0.0796295i
\(456\) −6.62473 20.3888i −0.310231 0.954794i
\(457\) −20.5644 + 22.8391i −0.961964 + 1.06837i 0.0356524 + 0.999364i \(0.488649\pi\)
−0.997616 + 0.0690049i \(0.978018\pi\)
\(458\) −4.16392 + 0.885069i −0.194567 + 0.0413566i
\(459\) −8.26968 + 14.3235i −0.385995 + 0.668564i
\(460\) 10.7356 0.500552
\(461\) −13.2874 14.7571i −0.618854 0.687307i 0.349486 0.936942i \(-0.386356\pi\)
−0.968340 + 0.249634i \(0.919690\pi\)
\(462\) 2.80667 1.24961i 0.130578 0.0581370i
\(463\) −27.4395 + 19.9360i −1.27522 + 0.926504i −0.999398 0.0347030i \(-0.988951\pi\)
−0.275826 + 0.961207i \(0.588951\pi\)
\(464\) 15.2464 26.4075i 0.707796 1.22594i
\(465\) 39.6043 0.0981414i 1.83661 0.00455120i
\(466\) −4.26211 7.38220i −0.197439 0.341974i
\(467\) −10.7333 + 7.79822i −0.496679 + 0.360859i −0.807747 0.589529i \(-0.799313\pi\)
0.311068 + 0.950388i \(0.399313\pi\)
\(468\) 26.4437 + 0.848023i 1.22236 + 0.0391999i
\(469\) −0.354961 + 1.09246i −0.0163906 + 0.0504450i
\(470\) 1.29993 + 2.25155i 0.0599614 + 0.103856i
\(471\) 13.9507 + 24.1633i 0.642813 + 1.11338i
\(472\) 9.25050 + 10.2737i 0.425789 + 0.472886i
\(473\) −0.865285 2.66307i −0.0397858 0.122448i
\(474\) 15.0259 + 3.19386i 0.690164 + 0.146699i
\(475\) −1.18823 11.3052i −0.0545196 0.518719i
\(476\) 3.47520 10.6956i 0.159286 0.490231i
\(477\) −3.15632 30.0304i −0.144518 1.37500i
\(478\) 0.0178138 0.169487i 0.000814786 0.00775217i
\(479\) 19.8127 22.0042i 0.905266 1.00540i −0.0946854 0.995507i \(-0.530185\pi\)
0.999951 0.00989209i \(-0.00314880\pi\)
\(480\) 25.3215 + 18.3972i 1.15577 + 0.839713i
\(481\) −14.3312 0.459588i −0.653448 0.0209554i
\(482\) −3.40908 10.4921i −0.155279 0.477901i
\(483\) 0.600594 5.71427i 0.0273280 0.260008i
\(484\) 4.99125 + 2.22225i 0.226875 + 0.101011i
\(485\) −22.7824 25.3024i −1.03449 1.14892i
\(486\) 7.05014 5.12223i 0.319801 0.232349i
\(487\) 38.2446 + 8.12914i 1.73303 + 0.368366i 0.962970 0.269609i \(-0.0868944\pi\)
0.770057 + 0.637975i \(0.220228\pi\)
\(488\) 5.95301 + 1.26535i 0.269480 + 0.0572797i
\(489\) 16.5624 50.9738i 0.748977 2.30512i
\(490\) −3.33130 + 5.76998i −0.150493 + 0.260661i
\(491\) −16.5271 28.6258i −0.745857 1.29186i −0.949793 0.312879i \(-0.898707\pi\)
0.203936 0.978984i \(-0.434627\pi\)
\(492\) 3.40963 0.724739i 0.153718 0.0326737i
\(493\) 50.7169 + 36.8480i 2.28417 + 1.65955i
\(494\) −4.91642 5.82539i −0.221200 0.262096i
\(495\) 30.4990 1.37083
\(496\) −16.7487 + 0.0415041i −0.752039 + 0.00186359i
\(497\) 1.36527 + 2.36472i 0.0612408 + 0.106072i
\(498\) −0.124200 1.18169i −0.00556555 0.0529527i
\(499\) 5.63642 + 4.09510i 0.252321 + 0.183322i 0.706755 0.707459i \(-0.250158\pi\)
−0.454434 + 0.890780i \(0.650158\pi\)
\(500\) −9.15222 10.1646i −0.409300 0.454573i
\(501\) −26.7997 + 46.4185i −1.19732 + 2.07383i
\(502\) −4.64937 −0.207512
\(503\) 8.22858 + 9.13876i 0.366894 + 0.407477i 0.898118 0.439754i \(-0.144934\pi\)
−0.531224 + 0.847231i \(0.678268\pi\)
\(504\) 4.21228 4.67821i 0.187630 0.208384i
\(505\) −25.2174 + 28.0068i −1.12216 + 1.24628i
\(506\) 2.06293 1.49881i 0.0917086 0.0666302i
\(507\) 32.2762 11.9562i 1.43344 0.530996i
\(508\) −17.6434 + 12.8186i −0.782797 + 0.568735i
\(509\) 2.33223 22.1896i 0.103374 0.983539i −0.812741 0.582625i \(-0.802026\pi\)
0.916116 0.400914i \(-0.131308\pi\)
\(510\) −12.1413 + 13.4842i −0.537624 + 0.597092i
\(511\) 3.14042 1.39820i 0.138924 0.0618529i
\(512\) −18.3974 13.3665i −0.813058 0.590721i
\(513\) −13.4083 2.85002i −0.591990 0.125831i
\(514\) −0.554514 + 0.246886i −0.0244586 + 0.0108897i
\(515\) −29.9734 + 21.7770i −1.32079 + 0.959609i
\(516\) −3.20656 3.56124i −0.141161 0.156775i
\(517\) −6.06763 2.70148i −0.266854 0.118811i
\(518\) −1.09072 + 1.21137i −0.0479236 + 0.0532246i
\(519\) −8.61548 26.5157i −0.378178 1.16391i
\(520\) 14.8579 + 3.65957i 0.651563 + 0.160483i
\(521\) 6.74488 0.295499 0.147749 0.989025i \(-0.452797\pi\)
0.147749 + 0.989025i \(0.452797\pi\)
\(522\) 8.38320 + 14.5201i 0.366923 + 0.635529i
\(523\) 6.89587 1.46576i 0.301535 0.0640933i −0.0546595 0.998505i \(-0.517407\pi\)
0.356195 + 0.934412i \(0.384074\pi\)
\(524\) 35.2788 15.7071i 1.54116 0.686169i
\(525\) 4.72077 3.42984i 0.206031 0.149690i
\(526\) 4.07943 7.06579i 0.177872 0.308083i
\(527\) 3.51440 34.2536i 0.153090 1.49211i
\(528\) −22.5472 −0.981243
\(529\) 1.90567 + 18.1313i 0.0828554 + 0.788317i
\(530\) 0.872208 8.29850i 0.0378863 0.360464i
\(531\) 34.3271 7.29646i 1.48967 0.316639i
\(532\) 9.32068 0.404103
\(533\) 2.14649 1.45674i 0.0929750 0.0630985i
\(534\) 3.74745 11.5335i 0.162168 0.499102i
\(535\) −4.09222 + 4.54487i −0.176922 + 0.196492i
\(536\) −1.22182 + 1.35696i −0.0527744 + 0.0586119i
\(537\) −3.32110 31.5981i −0.143316 1.36356i
\(538\) −2.70941 + 8.33870i −0.116811 + 0.359507i
\(539\) −1.77917 16.9276i −0.0766342 0.729125i
\(540\) 12.0108 5.34754i 0.516861 0.230122i
\(541\) 0.254651 + 0.783734i 0.0109483 + 0.0336954i 0.956381 0.292121i \(-0.0943609\pi\)
−0.945433 + 0.325816i \(0.894361\pi\)
\(542\) 4.30496 1.91669i 0.184914 0.0823290i
\(543\) −1.74159 + 16.5701i −0.0747386 + 0.711091i
\(544\) 18.2087 20.2228i 0.780693 0.867047i
\(545\) −31.4155 22.8247i −1.34569 0.977701i
\(546\) 1.32782 3.68075i 0.0568255 0.157521i
\(547\) 1.69748 5.22430i 0.0725789 0.223375i −0.908186 0.418566i \(-0.862533\pi\)
0.980765 + 0.195191i \(0.0625328\pi\)
\(548\) −19.4404 8.65540i −0.830451 0.369740i
\(549\) 10.3377 11.4811i 0.441200 0.490002i
\(550\) 2.53303 + 0.538412i 0.108009 + 0.0229580i
\(551\) −16.0556 + 49.4142i −0.683993 + 2.10512i
\(552\) 4.56681 7.90995i 0.194376 0.336670i
\(553\) −6.98928 + 12.1058i −0.297215 + 0.514791i
\(554\) 0.778341 2.39549i 0.0330686 0.101775i
\(555\) −25.8421 + 11.5057i −1.09694 + 0.488388i
\(556\) 19.1494 + 8.52585i 0.812114 + 0.361577i
\(557\) 10.9785 + 19.0153i 0.465173 + 0.805704i 0.999209 0.0397578i \(-0.0126586\pi\)
−0.534036 + 0.845462i \(0.679325\pi\)
\(558\) 4.58485 7.98684i 0.194092 0.338110i
\(559\) −3.20981 1.55423i −0.135761 0.0657368i
\(560\) −6.49738 + 4.72063i −0.274565 + 0.199483i
\(561\) 4.84536 46.1005i 0.204571 1.94636i
\(562\) −11.0633 + 2.35158i −0.466677 + 0.0991953i
\(563\) 2.46959 4.27745i 0.104081 0.180273i −0.809282 0.587421i \(-0.800143\pi\)
0.913362 + 0.407148i \(0.133477\pi\)
\(564\) −11.3669 −0.478631
\(565\) −11.6863 12.9789i −0.491646 0.546028i
\(566\) 6.00665 + 1.27675i 0.252478 + 0.0536659i
\(567\) 1.51992 + 4.67782i 0.0638305 + 0.196450i
\(568\) 0.453712 + 4.31678i 0.0190373 + 0.181128i
\(569\) −13.8024 + 2.93379i −0.578626 + 0.122991i −0.487922 0.872887i \(-0.662245\pi\)
−0.0907039 + 0.995878i \(0.528912\pi\)
\(570\) −13.7383 6.11669i −0.575434 0.256200i
\(571\) 4.94686 + 3.59411i 0.207020 + 0.150409i 0.686464 0.727164i \(-0.259162\pi\)
−0.479444 + 0.877572i \(0.659162\pi\)
\(572\) −17.2976 + 7.04607i −0.723250 + 0.294611i
\(573\) 46.7748 + 33.9839i 1.95405 + 1.41970i
\(574\) 0.0308265 0.293294i 0.00128667 0.0122419i
\(575\) 3.24065 3.59911i 0.135145 0.150093i
\(576\) −15.3914 + 6.85268i −0.641307 + 0.285528i
\(577\) 2.01656 1.46512i 0.0839505 0.0609936i −0.545018 0.838424i \(-0.683477\pi\)
0.628969 + 0.777431i \(0.283477\pi\)
\(578\) 5.86409 + 6.51274i 0.243914 + 0.270894i
\(579\) 5.70630 + 54.2918i 0.237146 + 2.25629i
\(580\) −15.3993 47.3940i −0.639419 1.96793i
\(581\) 1.05759 + 0.224798i 0.0438764 + 0.00932621i
\(582\) −13.5376 + 2.87752i −0.561153 + 0.119277i
\(583\) 10.6584 + 18.4610i 0.441428 + 0.764575i
\(584\) 5.46454 0.226124
\(585\) 26.9038 28.0190i 1.11233 1.15844i
\(586\) −3.31569 2.40899i −0.136970 0.0995143i
\(587\) −15.1099 6.72738i −0.623654 0.277669i 0.0704813 0.997513i \(-0.477546\pi\)
−0.694136 + 0.719844i \(0.744213\pi\)
\(588\) −14.5648 25.2269i −0.600641 1.04034i
\(589\) 27.9000 6.00263i 1.14960 0.247334i
\(590\) 9.69776 0.399251
\(591\) −0.122069 1.16141i −0.00502124 0.0477739i
\(592\) 10.9287 4.86575i 0.449165 0.199981i
\(593\) 12.2944 37.8383i 0.504871 1.55383i −0.296116 0.955152i \(-0.595691\pi\)
0.800987 0.598682i \(-0.204309\pi\)
\(594\) 1.56139 2.70440i 0.0640644 0.110963i
\(595\) −8.25560 14.2991i −0.338447 0.586207i
\(596\) 7.16718 1.52343i 0.293579 0.0624021i
\(597\) −11.4880 35.3563i −0.470171 1.44704i
\(598\) 0.442822 3.21732i 0.0181083 0.131566i
\(599\) 33.1947 24.1174i 1.35630 0.985408i 0.357627 0.933864i \(-0.383586\pi\)
0.998671 0.0515439i \(-0.0164142\pi\)
\(600\) 9.07310 1.92855i 0.370408 0.0787326i
\(601\) −11.5986 5.16402i −0.473116 0.210645i 0.156306 0.987709i \(-0.450041\pi\)
−0.629422 + 0.777064i \(0.716708\pi\)
\(602\) −0.370378 + 0.164903i −0.0150955 + 0.00672094i
\(603\) 1.43237 + 4.40839i 0.0583308 + 0.179524i
\(604\) −16.0926 + 7.16487i −0.654797 + 0.291535i
\(605\) 7.32809 3.26268i 0.297929 0.132647i
\(606\) 4.73394 + 14.5696i 0.192303 + 0.591848i
\(607\) −19.1989 + 8.54790i −0.779259 + 0.346948i −0.757517 0.652815i \(-0.773588\pi\)
−0.0217416 + 0.999764i \(0.506921\pi\)
\(608\) 20.6039 + 9.17345i 0.835598 + 0.372032i
\(609\) −26.0879 + 5.54516i −1.05714 + 0.224701i
\(610\) 3.45388 2.50939i 0.139843 0.101602i
\(611\) −7.83420 + 3.19121i −0.316938 + 0.129103i
\(612\) −14.0235 43.1598i −0.566865 1.74463i
\(613\) −31.6667 + 6.73097i −1.27901 + 0.271861i −0.796825 0.604210i \(-0.793489\pi\)
−0.482182 + 0.876071i \(0.660156\pi\)
\(614\) 4.37111 + 7.57099i 0.176404 + 0.305540i
\(615\) 2.55890 4.43215i 0.103185 0.178721i
\(616\) −1.37330 + 4.22658i −0.0553318 + 0.170294i
\(617\) 2.11342 0.940957i 0.0850832 0.0378815i −0.363754 0.931495i \(-0.618505\pi\)
0.448837 + 0.893614i \(0.351838\pi\)
\(618\) 1.57422 + 14.9777i 0.0633243 + 0.602490i
\(619\) 16.9802 0.682493 0.341246 0.939974i \(-0.389151\pi\)
0.341246 + 0.939974i \(0.389151\pi\)
\(620\) −18.2648 + 20.3865i −0.733532 + 0.818741i
\(621\) −2.92009 5.05774i −0.117179 0.202960i
\(622\) 1.10853 + 0.493551i 0.0444481 + 0.0197896i
\(623\) 8.92766 + 6.48632i 0.357679 + 0.259869i
\(624\) −19.8894 + 20.7138i −0.796213 + 0.829216i
\(625\) −31.1703 −1.24681
\(626\) 1.20796 + 2.09225i 0.0482798 + 0.0836230i
\(627\) 37.5791 7.98767i 1.50076 0.318997i
\(628\) −18.8620 4.00924i −0.752676 0.159986i
\(629\) 7.60005 + 23.3906i 0.303034 + 0.932642i
\(630\) −0.461592 4.39175i −0.0183903 0.174972i
\(631\) −0.492656 0.547149i −0.0196123 0.0217817i 0.733259 0.679950i \(-0.237998\pi\)
−0.752871 + 0.658168i \(0.771332\pi\)
\(632\) −17.9770 + 13.0610i −0.715086 + 0.519540i
\(633\) 46.5799 20.7387i 1.85138 0.824289i
\(634\) 1.79984 1.99893i 0.0714809 0.0793876i
\(635\) −3.34687 + 31.8434i −0.132817 + 1.26367i
\(636\) 29.5143 + 21.4434i 1.17032 + 0.850287i
\(637\) −17.1206 13.2977i −0.678344 0.526875i
\(638\) −9.57579 6.95722i −0.379109 0.275439i
\(639\) 10.0659 + 4.48165i 0.398203 + 0.177291i
\(640\) −27.6802 + 5.88361i −1.09416 + 0.232570i
\(641\) −3.18746 30.3267i −0.125897 1.19783i −0.856909 0.515467i \(-0.827618\pi\)
0.731012 0.682364i \(-0.239048\pi\)
\(642\) 0.768212 + 2.36431i 0.0303189 + 0.0933120i
\(643\) −33.4983 7.12027i −1.32104 0.280796i −0.507173 0.861844i \(-0.669309\pi\)
−0.813869 + 0.581048i \(0.802643\pi\)
\(644\) 2.65715 + 2.95106i 0.104706 + 0.116288i
\(645\) −7.03573 −0.277032
\(646\) −6.53746 + 11.3232i −0.257213 + 0.445506i
\(647\) −37.4137 + 7.95253i −1.47089 + 0.312646i −0.872521 0.488577i \(-0.837516\pi\)
−0.598365 + 0.801224i \(0.704183\pi\)
\(648\) −0.817275 + 7.77585i −0.0321056 + 0.305464i
\(649\) −20.0432 + 14.5623i −0.786765 + 0.571619i
\(650\) 2.72907 1.85211i 0.107043 0.0726459i
\(651\) 9.82933 + 10.8623i 0.385242 + 0.425728i
\(652\) 18.5212 + 32.0797i 0.725347 + 1.25634i
\(653\) 12.1634 + 5.41548i 0.475989 + 0.211924i 0.630686 0.776038i \(-0.282774\pi\)
−0.154697 + 0.987962i \(0.549440\pi\)
\(654\) −14.4201 + 6.42022i −0.563869 + 0.251050i
\(655\) 17.5205 53.9226i 0.684584 2.10693i
\(656\) −1.08216 + 1.87436i −0.0422513 + 0.0731814i
\(657\) 6.93590 12.0133i 0.270595 0.468685i
\(658\) −0.297173 + 0.914606i −0.0115850 + 0.0356550i
\(659\) −46.5107 9.88614i −1.81180 0.385110i −0.827477 0.561499i \(-0.810225\pi\)
−0.984320 + 0.176390i \(0.943558\pi\)
\(660\) −24.6561 + 27.3834i −0.959737 + 1.06590i
\(661\) −44.8604 19.9731i −1.74487 0.776865i −0.993077 0.117462i \(-0.962524\pi\)
−0.751789 0.659403i \(-0.770809\pi\)
\(662\) 1.69860 5.22775i 0.0660179 0.203182i
\(663\) −38.0776 45.1175i −1.47881 1.75222i
\(664\) 1.39049 + 1.01025i 0.0539616 + 0.0392054i
\(665\) 9.15672 10.1696i 0.355082 0.394359i
\(666\) −0.687565 + 6.54174i −0.0266426 + 0.253487i
\(667\) −20.2224 + 9.00359i −0.783014 + 0.348620i
\(668\) −11.4473 35.2310i −0.442908 1.36313i
\(669\) −15.9822 + 7.11574i −0.617908 + 0.275110i
\(670\) 0.133890 + 1.27387i 0.00517261 + 0.0492141i
\(671\) −3.37031 + 10.3728i −0.130109 + 0.400436i
\(672\) 1.21016 + 11.5139i 0.0466831 + 0.444160i
\(673\) 19.1292 21.2451i 0.737375 0.818938i −0.251473 0.967864i \(-0.580915\pi\)
0.988848 + 0.148926i \(0.0475816\pi\)
\(674\) 6.49067 7.20861i 0.250011 0.277665i
\(675\) 1.83281 5.64080i 0.0705448 0.217115i
\(676\) −8.78546 + 22.1065i −0.337902 + 0.850252i
\(677\) −0.640967 −0.0246344 −0.0123172 0.999924i \(-0.503921\pi\)
−0.0123172 + 0.999924i \(0.503921\pi\)
\(678\) −6.94418 + 1.47603i −0.266690 + 0.0566866i
\(679\) 1.31643 12.5250i 0.0505201 0.480667i
\(680\) −2.74353 26.1029i −0.105210 1.00100i
\(681\) −35.8639 −1.37431
\(682\) −0.663549 + 6.46737i −0.0254086 + 0.247648i
\(683\) 25.0308 43.3547i 0.957778 1.65892i 0.229898 0.973215i \(-0.426161\pi\)
0.727880 0.685705i \(-0.240506\pi\)
\(684\) 30.4285 22.1076i 1.16346 0.845306i
\(685\) −28.5421 + 12.7077i −1.09054 + 0.485538i
\(686\) −5.21714 + 1.10894i −0.199191 + 0.0423394i
\(687\) −13.6628 23.6647i −0.521268 0.902863i
\(688\) 2.97542 0.113437
\(689\) 26.3618 + 6.49304i 1.00431 + 0.247365i
\(690\) −1.97990 6.09350i −0.0753734 0.231975i
\(691\) 9.47107 10.5187i 0.360297 0.400150i −0.535557 0.844499i \(-0.679898\pi\)
0.895854 + 0.444349i \(0.146565\pi\)
\(692\) 17.6030 + 7.83735i 0.669165 + 0.297931i
\(693\) 7.54871 + 8.38369i 0.286752 + 0.318470i
\(694\) 2.97562 2.16191i 0.112953 0.0820651i
\(695\) 28.1148 12.5175i 1.06646 0.474817i
\(696\) −41.4702 8.81477i −1.57193 0.334123i
\(697\) −3.59979 2.61540i −0.136352 0.0990655i
\(698\) 10.9978 4.89655i 0.416274 0.185337i
\(699\) 36.6131 40.6630i 1.38484 1.53802i
\(700\) −0.421549 + 4.01077i −0.0159331 + 0.151593i
\(701\) −5.77583 + 4.19638i −0.218150 + 0.158495i −0.691494 0.722383i \(-0.743047\pi\)
0.473343 + 0.880878i \(0.343047\pi\)
\(702\) −1.10716 3.82003i −0.0417871 0.144178i
\(703\) −16.4908 + 11.9813i −0.621963 + 0.451882i
\(704\) 7.95857 8.83888i 0.299950 0.333128i
\(705\) −11.1669 + 12.4021i −0.420570 + 0.467090i
\(706\) 7.05607 + 7.83656i 0.265559 + 0.294933i
\(707\) −13.9401 −0.524272
\(708\) −21.1998 + 36.7191i −0.796737 + 1.37999i
\(709\) 31.1403 + 34.5848i 1.16950 + 1.29886i 0.946004 + 0.324154i \(0.105080\pi\)
0.223494 + 0.974705i \(0.428254\pi\)
\(710\) 2.46332 + 1.78971i 0.0924467 + 0.0671665i
\(711\) 5.89621 + 56.0987i 0.221125 + 2.10386i
\(712\) 8.77094 + 15.1917i 0.328705 + 0.569334i
\(713\) 9.85428 + 7.12231i 0.369046 + 0.266733i
\(714\) −6.71165 −0.251177
\(715\) −9.30553 + 25.7951i −0.348007 + 0.964683i
\(716\) 17.7649 + 12.9070i 0.663906 + 0.482356i
\(717\) 1.07004 0.227443i 0.0399612 0.00849402i
\(718\) 0.294680 + 0.510400i 0.0109973 + 0.0190480i
\(719\) 24.9514 43.2171i 0.930531 1.61173i 0.148116 0.988970i \(-0.452679\pi\)
0.782415 0.622757i \(-0.213988\pi\)
\(720\) −10.0147 + 30.8221i −0.373226 + 1.14867i
\(721\) −13.4048 2.84928i −0.499221 0.106113i
\(722\) −2.93407 0.623655i −0.109195 0.0232100i
\(723\) 57.2906 41.6241i 2.13066 1.54802i
\(724\) −7.70513 8.55741i −0.286359 0.318034i
\(725\) −20.5372 9.14375i −0.762732 0.339590i
\(726\) 0.340837 3.24284i 0.0126496 0.120353i
\(727\) −2.08886 6.42885i −0.0774715 0.238433i 0.904819 0.425796i \(-0.140006\pi\)
−0.982291 + 0.187363i \(0.940006\pi\)
\(728\) 2.67148 + 4.98999i 0.0990117 + 0.184941i
\(729\) 33.2426 + 24.1522i 1.23121 + 0.894525i
\(730\) 2.56497 2.84869i 0.0949337 0.105435i
\(731\) −0.639411 + 6.08359i −0.0236495 + 0.225010i
\(732\) 1.95107 + 18.5632i 0.0721138 + 0.686117i
\(733\) 15.4056 47.4136i 0.569019 1.75126i −0.0866794 0.996236i \(-0.527626\pi\)
0.655698 0.755023i \(-0.272374\pi\)
\(734\) −0.703236 6.69084i −0.0259569 0.246963i
\(735\) −41.8330 8.89188i −1.54303 0.327982i
\(736\) 2.96933 + 9.13866i 0.109451 + 0.336856i
\(737\) −2.18958 2.43178i −0.0806544 0.0895758i
\(738\) −0.595024 1.03061i −0.0219032 0.0379374i
\(739\) 20.9916 + 36.3586i 0.772190 + 1.33747i 0.936360 + 0.351040i \(0.114172\pi\)
−0.164171 + 0.986432i \(0.552495\pi\)
\(740\) 6.04142 18.5936i 0.222087 0.683513i
\(741\) 25.8111 41.5694i 0.948194 1.52709i
\(742\) 2.49701 1.81418i 0.0916680 0.0666007i
\(743\) −4.73090 8.19416i −0.173560 0.300615i 0.766102 0.642719i \(-0.222194\pi\)
−0.939662 + 0.342104i \(0.888860\pi\)
\(744\) 7.25100 + 22.1295i 0.265834 + 0.811308i
\(745\) 5.37892 9.31656i 0.197068 0.341332i
\(746\) 3.20904 2.33150i 0.117491 0.0853625i
\(747\) 3.98584 1.77461i 0.145834 0.0649296i
\(748\) 21.4368 + 23.8080i 0.783808 + 0.870507i
\(749\) −2.26217 −0.0826578
\(750\) −4.08148 + 7.06933i −0.149035 + 0.258135i
\(751\) 24.3074 5.16669i 0.886989 0.188535i 0.258181 0.966096i \(-0.416877\pi\)
0.628807 + 0.777561i \(0.283543\pi\)
\(752\) 4.72249 5.24486i 0.172212 0.191260i
\(753\) −9.22248 28.3839i −0.336086 1.03437i
\(754\) −14.8385 + 2.66003i −0.540386 + 0.0968726i
\(755\) −7.99206 + 24.5970i −0.290861 + 0.895177i