Properties

Label 300.2.w.a.67.10
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.10
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.665012 - 1.24810i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.11552 + 1.66001i) q^{4} +(-0.495035 + 2.18058i) q^{5} +(-0.461578 - 1.33677i) q^{6} +(-0.602522 + 0.602522i) q^{7} +(2.81369 + 0.288356i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.665012 - 1.24810i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.11552 + 1.66001i) q^{4} +(-0.495035 + 2.18058i) q^{5} +(-0.461578 - 1.33677i) q^{6} +(-0.602522 + 0.602522i) q^{7} +(2.81369 + 0.288356i) q^{8} +(0.951057 + 0.309017i) q^{9} +(3.05079 - 0.832260i) q^{10} +(-5.05542 + 1.64261i) q^{11} +(-1.36147 + 1.46506i) q^{12} +(1.03755 + 2.03631i) q^{13} +(1.15269 + 0.351325i) q^{14} +(-0.830058 + 2.07630i) q^{15} +(-1.51124 - 3.70353i) q^{16} +(0.799814 + 5.04983i) q^{17} +(-0.246779 - 1.39252i) q^{18} +(6.89765 + 5.01144i) q^{19} +(-3.06756 - 3.25424i) q^{20} +(-0.689359 + 0.500849i) q^{21} +(5.41205 + 5.21733i) q^{22} +(0.489789 - 0.961266i) q^{23} +(2.73394 + 0.724964i) q^{24} +(-4.50988 - 2.15893i) q^{25} +(1.85153 - 2.64914i) q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.328066 - 1.67231i) q^{28} +(-4.22121 - 5.81000i) q^{29} +(3.14343 - 0.344764i) q^{30} +(4.29812 - 5.91585i) q^{31} +(-3.61739 + 4.34908i) q^{32} +(-5.25014 + 0.831540i) q^{33} +(5.77081 - 4.35645i) q^{34} +(-1.01558 - 1.61212i) q^{35} +(-1.57389 + 1.23405i) q^{36} +(0.750341 - 0.382318i) q^{37} +(1.66776 - 11.9416i) q^{38} +(0.706227 + 2.17354i) q^{39} +(-2.02166 + 5.99274i) q^{40} +(2.32436 - 7.15365i) q^{41} +(1.08354 + 0.527320i) q^{42} +(4.73376 + 4.73376i) q^{43} +(2.91268 - 10.2244i) q^{44} +(-1.14464 + 1.92088i) q^{45} +(-1.52547 + 0.0279462i) q^{46} +(0.212949 - 1.34451i) q^{47} +(-0.913273 - 3.89435i) q^{48} +6.27393i q^{49} +(0.304563 + 7.06451i) q^{50} +5.11277i q^{51} +(-4.53768 - 0.549197i) q^{52} +(-1.49865 + 9.46211i) q^{53} +(-0.0259036 - 1.41398i) q^{54} +(-1.07923 - 11.8369i) q^{55} +(-1.86905 + 1.52157i) q^{56} +(6.02877 + 6.02877i) q^{57} +(-4.44432 + 9.13223i) q^{58} +(-0.145594 + 0.448091i) q^{59} +(-2.52072 - 3.69405i) q^{60} +(-2.80052 - 8.61911i) q^{61} +(-10.2419 - 1.43038i) q^{62} +(-0.759222 + 0.386843i) q^{63} +(7.83370 + 1.62269i) q^{64} +(-4.95396 + 1.25442i) q^{65} +(4.52925 + 5.99973i) q^{66} +(2.40925 - 0.381587i) q^{67} +(-9.27495 - 4.30548i) q^{68} +(0.634135 - 0.872811i) q^{69} +(-1.33672 + 2.33963i) q^{70} +(-1.56587 - 2.15523i) q^{71} +(2.58687 + 1.14372i) q^{72} +(-11.2492 - 5.73174i) q^{73} +(-0.976158 - 0.682257i) q^{74} +(-4.11663 - 2.83785i) q^{75} +(-16.0135 + 5.85979i) q^{76} +(2.05630 - 4.03571i) q^{77} +(2.24315 - 2.32688i) q^{78} +(1.31623 - 0.956297i) q^{79} +(8.82398 - 1.46201i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-10.4742 + 1.85622i) q^{82} +(0.566819 + 3.57875i) q^{83} +(-0.0624194 - 1.70305i) q^{84} +(-11.4075 - 0.755778i) q^{85} +(2.76021 - 9.05622i) q^{86} +(-3.26036 - 6.39881i) q^{87} +(-14.6980 + 3.16402i) q^{88} +(8.73414 - 2.83789i) q^{89} +(3.15866 + 0.151221i) q^{90} +(-1.85207 - 0.601773i) q^{91} +(1.04934 + 1.88536i) q^{92} +(5.17064 - 5.17064i) q^{93} +(-1.81969 + 0.628331i) q^{94} +(-14.3424 + 12.5601i) q^{95} +(-4.25320 + 3.72965i) q^{96} +(13.8500 + 2.19363i) q^{97} +(7.83051 - 4.17224i) q^{98} -5.31558 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.665012 1.24810i −0.470235 0.882541i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) −1.11552 + 1.66001i −0.557759 + 0.830003i
\(5\) −0.495035 + 2.18058i −0.221386 + 0.975186i
\(6\) −0.461578 1.33677i −0.188439 0.545733i
\(7\) −0.602522 + 0.602522i −0.227732 + 0.227732i −0.811745 0.584013i \(-0.801482\pi\)
0.584013 + 0.811745i \(0.301482\pi\)
\(8\) 2.81369 + 0.288356i 0.994790 + 0.101949i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 3.05079 0.832260i 0.964746 0.263184i
\(11\) −5.05542 + 1.64261i −1.52427 + 0.495264i −0.946984 0.321280i \(-0.895887\pi\)
−0.577282 + 0.816545i \(0.695887\pi\)
\(12\) −1.36147 + 1.46506i −0.393021 + 0.422927i
\(13\) 1.03755 + 2.03631i 0.287764 + 0.564770i 0.988957 0.148202i \(-0.0473487\pi\)
−0.701193 + 0.712972i \(0.747349\pi\)
\(14\) 1.15269 + 0.351325i 0.308070 + 0.0938955i
\(15\) −0.830058 + 2.07630i −0.214320 + 0.536097i
\(16\) −1.51124 3.70353i −0.377810 0.925883i
\(17\) 0.799814 + 5.04983i 0.193983 + 1.22476i 0.871922 + 0.489645i \(0.162873\pi\)
−0.677939 + 0.735118i \(0.737127\pi\)
\(18\) −0.246779 1.39252i −0.0581664 0.328219i
\(19\) 6.89765 + 5.01144i 1.58243 + 1.14970i 0.913843 + 0.406067i \(0.133100\pi\)
0.668586 + 0.743635i \(0.266900\pi\)
\(20\) −3.06756 3.25424i −0.685927 0.727670i
\(21\) −0.689359 + 0.500849i −0.150431 + 0.109294i
\(22\) 5.41205 + 5.21733i 1.15385 + 1.11234i
\(23\) 0.489789 0.961266i 0.102128 0.200438i −0.834288 0.551328i \(-0.814121\pi\)
0.936416 + 0.350891i \(0.114121\pi\)
\(24\) 2.73394 + 0.724964i 0.558063 + 0.147983i
\(25\) −4.50988 2.15893i −0.901976 0.431786i
\(26\) 1.85153 2.64914i 0.363116 0.519538i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) −0.328066 1.67231i −0.0619987 0.316038i
\(29\) −4.22121 5.81000i −0.783860 1.07889i −0.994846 0.101401i \(-0.967667\pi\)
0.210986 0.977489i \(-0.432333\pi\)
\(30\) 3.14343 0.344764i 0.573909 0.0629451i
\(31\) 4.29812 5.91585i 0.771964 1.06252i −0.224159 0.974553i \(-0.571964\pi\)
0.996124 0.0879654i \(-0.0280365\pi\)
\(32\) −3.61739 + 4.34908i −0.639471 + 0.768815i
\(33\) −5.25014 + 0.831540i −0.913932 + 0.144753i
\(34\) 5.77081 4.35645i 0.989686 0.747124i
\(35\) −1.01558 1.61212i −0.171664 0.272498i
\(36\) −1.57389 + 1.23405i −0.262315 + 0.205674i
\(37\) 0.750341 0.382318i 0.123355 0.0628527i −0.391224 0.920296i \(-0.627948\pi\)
0.514579 + 0.857443i \(0.327948\pi\)
\(38\) 1.66776 11.9416i 0.270547 1.93719i
\(39\) 0.706227 + 2.17354i 0.113087 + 0.348046i
\(40\) −2.02166 + 5.99274i −0.319652 + 0.947535i
\(41\) 2.32436 7.15365i 0.363004 1.11721i −0.588217 0.808703i \(-0.700170\pi\)
0.951221 0.308509i \(-0.0998300\pi\)
\(42\) 1.08354 + 0.527320i 0.167194 + 0.0813673i
\(43\) 4.73376 + 4.73376i 0.721891 + 0.721891i 0.968990 0.247099i \(-0.0794772\pi\)
−0.247099 + 0.968990i \(0.579477\pi\)
\(44\) 2.91268 10.2244i 0.439103 1.54138i
\(45\) −1.14464 + 1.92088i −0.170633 + 0.286348i
\(46\) −1.52547 + 0.0279462i −0.224919 + 0.00412044i
\(47\) 0.212949 1.34451i 0.0310618 0.196116i −0.967278 0.253720i \(-0.918346\pi\)
0.998340 + 0.0576034i \(0.0183459\pi\)
\(48\) −0.913273 3.89435i −0.131820 0.562100i
\(49\) 6.27393i 0.896276i
\(50\) 0.304563 + 7.06451i 0.0430718 + 0.999072i
\(51\) 5.11277i 0.715932i
\(52\) −4.53768 0.549197i −0.629264 0.0761599i
\(53\) −1.49865 + 9.46211i −0.205856 + 1.29972i 0.640853 + 0.767664i \(0.278581\pi\)
−0.846709 + 0.532057i \(0.821419\pi\)
\(54\) −0.0259036 1.41398i −0.00352503 0.192418i
\(55\) −1.07923 11.8369i −0.145523 1.59609i
\(56\) −1.86905 + 1.52157i −0.249762 + 0.203328i
\(57\) 6.02877 + 6.02877i 0.798530 + 0.798530i
\(58\) −4.44432 + 9.13223i −0.583567 + 1.19912i
\(59\) −0.145594 + 0.448091i −0.0189547 + 0.0583365i −0.960086 0.279703i \(-0.909764\pi\)
0.941132 + 0.338040i \(0.109764\pi\)
\(60\) −2.52072 3.69405i −0.325423 0.476899i
\(61\) −2.80052 8.61911i −0.358570 1.10356i −0.953911 0.300091i \(-0.902983\pi\)
0.595341 0.803473i \(-0.297017\pi\)
\(62\) −10.2419 1.43038i −1.30072 0.181658i
\(63\) −0.759222 + 0.386843i −0.0956530 + 0.0487376i
\(64\) 7.83370 + 1.62269i 0.979213 + 0.202836i
\(65\) −4.95396 + 1.25442i −0.614463 + 0.155592i
\(66\) 4.52925 + 5.99973i 0.557513 + 0.738515i
\(67\) 2.40925 0.381587i 0.294336 0.0466183i −0.00752000 0.999972i \(-0.502394\pi\)
0.301856 + 0.953353i \(0.402394\pi\)
\(68\) −9.27495 4.30548i −1.12475 0.522116i
\(69\) 0.634135 0.872811i 0.0763408 0.105074i
\(70\) −1.33672 + 2.33963i −0.159768 + 0.279639i
\(71\) −1.56587 2.15523i −0.185834 0.255779i 0.705928 0.708284i \(-0.250530\pi\)
−0.891762 + 0.452505i \(0.850530\pi\)
\(72\) 2.58687 + 1.14372i 0.304866 + 0.134789i
\(73\) −11.2492 5.73174i −1.31662 0.670849i −0.352370 0.935861i \(-0.614624\pi\)
−0.964245 + 0.265012i \(0.914624\pi\)
\(74\) −0.976158 0.682257i −0.113476 0.0793107i
\(75\) −4.11663 2.83785i −0.475347 0.327687i
\(76\) −16.0135 + 5.85979i −1.83687 + 0.672164i
\(77\) 2.05630 4.03571i 0.234337 0.459912i
\(78\) 2.24315 2.32688i 0.253987 0.263467i
\(79\) 1.31623 0.956297i 0.148087 0.107592i −0.511275 0.859417i \(-0.670826\pi\)
0.659362 + 0.751826i \(0.270826\pi\)
\(80\) 8.82398 1.46201i 0.986550 0.163457i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −10.4742 + 1.85622i −1.15668 + 0.204985i
\(83\) 0.566819 + 3.57875i 0.0622165 + 0.392819i 0.999071 + 0.0430994i \(0.0137232\pi\)
−0.936854 + 0.349720i \(0.886277\pi\)
\(84\) −0.0624194 1.70305i −0.00681052 0.185818i
\(85\) −11.4075 0.755778i −1.23732 0.0819757i
\(86\) 2.76021 9.05622i 0.297641 0.976557i
\(87\) −3.26036 6.39881i −0.349547 0.686025i
\(88\) −14.6980 + 3.16402i −1.56682 + 0.337286i
\(89\) 8.73414 2.83789i 0.925817 0.300816i 0.192966 0.981205i \(-0.438189\pi\)
0.732851 + 0.680389i \(0.238189\pi\)
\(90\) 3.15866 + 0.151221i 0.332952 + 0.0159401i
\(91\) −1.85207 0.601773i −0.194149 0.0630829i
\(92\) 1.04934 + 1.88536i 0.109401 + 0.196563i
\(93\) 5.17064 5.17064i 0.536171 0.536171i
\(94\) −1.81969 + 0.628331i −0.187687 + 0.0648074i
\(95\) −14.3424 + 12.5601i −1.47150 + 1.28864i
\(96\) −4.25320 + 3.72965i −0.434091 + 0.380655i
\(97\) 13.8500 + 2.19363i 1.40625 + 0.222729i 0.812990 0.582278i \(-0.197839\pi\)
0.593265 + 0.805007i \(0.297839\pi\)
\(98\) 7.83051 4.17224i 0.791001 0.421460i
\(99\) −5.31558 −0.534236
\(100\) 8.61469 5.07811i 0.861469 0.507811i
\(101\) 9.36790 0.932141 0.466070 0.884748i \(-0.345669\pi\)
0.466070 + 0.884748i \(0.345669\pi\)
\(102\) 6.38126 3.40006i 0.631839 0.336656i
\(103\) −0.872918 0.138257i −0.0860111 0.0136228i 0.113281 0.993563i \(-0.463864\pi\)
−0.199292 + 0.979940i \(0.563864\pi\)
\(104\) 2.33216 + 6.02872i 0.228687 + 0.591164i
\(105\) −0.750886 1.75114i −0.0732789 0.170894i
\(106\) 12.8063 4.42195i 1.24386 0.429497i
\(107\) 1.86547 1.86547i 0.180342 0.180342i −0.611163 0.791505i \(-0.709298\pi\)
0.791505 + 0.611163i \(0.209298\pi\)
\(108\) −1.74756 + 0.972642i −0.168159 + 0.0935925i
\(109\) −10.3478 3.36221i −0.991143 0.322042i −0.231822 0.972758i \(-0.574469\pi\)
−0.759321 + 0.650717i \(0.774469\pi\)
\(110\) −14.0560 + 9.21868i −1.34018 + 0.878966i
\(111\) 0.800911 0.260232i 0.0760191 0.0247001i
\(112\) 3.14202 + 1.32091i 0.296893 + 0.124814i
\(113\) 3.44325 + 6.75776i 0.323914 + 0.635717i 0.994338 0.106261i \(-0.0338879\pi\)
−0.670424 + 0.741978i \(0.733888\pi\)
\(114\) 3.51531 11.5337i 0.329239 1.08023i
\(115\) 1.85366 + 1.54389i 0.172854 + 0.143968i
\(116\) 14.3535 0.526078i 1.33269 0.0488451i
\(117\) 0.357515 + 2.25726i 0.0330523 + 0.208684i
\(118\) 0.656085 0.116270i 0.0603975 0.0107035i
\(119\) −3.52454 2.56073i −0.323094 0.234741i
\(120\) −2.93424 + 5.60270i −0.267858 + 0.511454i
\(121\) 13.9599 10.1425i 1.26908 0.922044i
\(122\) −8.89515 + 9.22714i −0.805329 + 0.835386i
\(123\) 3.41482 6.70196i 0.307904 0.604296i
\(124\) 5.02572 + 13.7341i 0.451323 + 1.23336i
\(125\) 6.94027 8.76543i 0.620756 0.784004i
\(126\) 0.987711 + 0.690331i 0.0879923 + 0.0614996i
\(127\) −7.91405 4.03241i −0.702258 0.357819i 0.0661223 0.997812i \(-0.478937\pi\)
−0.768381 + 0.639993i \(0.778937\pi\)
\(128\) −3.18422 10.8564i −0.281448 0.959576i
\(129\) 3.93496 + 5.41600i 0.346453 + 0.476852i
\(130\) 4.86009 + 5.34884i 0.426258 + 0.469124i
\(131\) 5.86303 8.06976i 0.512255 0.705058i −0.472043 0.881576i \(-0.656483\pi\)
0.984298 + 0.176517i \(0.0564832\pi\)
\(132\) 4.47626 9.64286i 0.389609 0.839303i
\(133\) −7.17549 + 1.13649i −0.622194 + 0.0985458i
\(134\) −2.07844 2.75323i −0.179550 0.237842i
\(135\) −1.43104 + 1.71817i −0.123165 + 0.147877i
\(136\) 0.794279 + 14.4393i 0.0681089 + 1.23816i
\(137\) −5.85136 + 2.98142i −0.499915 + 0.254719i −0.685718 0.727868i \(-0.740512\pi\)
0.185803 + 0.982587i \(0.440512\pi\)
\(138\) −1.51106 0.211035i −0.128630 0.0179645i
\(139\) 3.53918 + 10.8925i 0.300189 + 0.923887i 0.981429 + 0.191827i \(0.0614411\pi\)
−0.681240 + 0.732060i \(0.738559\pi\)
\(140\) 3.80902 + 0.112478i 0.321921 + 0.00950615i
\(141\) 0.420654 1.29464i 0.0354255 0.109028i
\(142\) −1.64863 + 3.38761i −0.138350 + 0.284282i
\(143\) −8.59010 8.59010i −0.718340 0.718340i
\(144\) −0.292820 3.98927i −0.0244016 0.332439i
\(145\) 14.7588 6.32855i 1.22565 0.525558i
\(146\) 0.327039 + 17.8518i 0.0270659 + 1.47742i
\(147\) −0.981460 + 6.19669i −0.0809494 + 0.511095i
\(148\) −0.202369 + 1.67205i −0.0166346 + 0.137442i
\(149\) 4.55567i 0.373215i 0.982435 + 0.186607i \(0.0597492\pi\)
−0.982435 + 0.186607i \(0.940251\pi\)
\(150\) −0.804318 + 7.02517i −0.0656723 + 0.573603i
\(151\) 3.84939i 0.313259i −0.987657 0.156629i \(-0.949937\pi\)
0.987657 0.156629i \(-0.0500628\pi\)
\(152\) 17.9628 + 16.0896i 1.45697 + 1.30504i
\(153\) −0.799814 + 5.04983i −0.0646611 + 0.408254i
\(154\) −6.40444 + 0.117327i −0.516084 + 0.00945449i
\(155\) 10.7723 + 12.3009i 0.865251 + 0.988036i
\(156\) −4.39590 1.25229i −0.351954 0.100263i
\(157\) 1.45279 + 1.45279i 0.115945 + 0.115945i 0.762699 0.646754i \(-0.223874\pi\)
−0.646754 + 0.762699i \(0.723874\pi\)
\(158\) −2.06886 1.00684i −0.164590 0.0800999i
\(159\) −2.96040 + 9.11117i −0.234775 + 0.722563i
\(160\) −7.69278 10.0410i −0.608168 0.793808i
\(161\) 0.284075 + 0.874293i 0.0223882 + 0.0689039i
\(162\) 0.195610 1.40062i 0.0153686 0.110043i
\(163\) 16.0946 8.20060i 1.26062 0.642320i 0.309433 0.950921i \(-0.399861\pi\)
0.951192 + 0.308601i \(0.0998607\pi\)
\(164\) 9.28223 + 11.8385i 0.724820 + 0.924430i
\(165\) 0.785758 11.8600i 0.0611712 0.923300i
\(166\) 4.08971 3.08736i 0.317423 0.239626i
\(167\) 21.6970 3.43646i 1.67896 0.265921i 0.757060 0.653345i \(-0.226635\pi\)
0.921902 + 0.387424i \(0.126635\pi\)
\(168\) −2.08407 + 1.21045i −0.160789 + 0.0933884i
\(169\) 4.57118 6.29169i 0.351629 0.483976i
\(170\) 6.64284 + 14.7403i 0.509482 + 1.13053i
\(171\) 5.01144 + 6.89765i 0.383234 + 0.527476i
\(172\) −13.1387 + 2.57747i −1.00181 + 0.196531i
\(173\) 15.4000 + 7.84670i 1.17084 + 0.596574i 0.927667 0.373409i \(-0.121811\pi\)
0.243175 + 0.969982i \(0.421811\pi\)
\(174\) −5.81820 + 8.32455i −0.441076 + 0.631082i
\(175\) 4.01810 1.41650i 0.303740 0.107077i
\(176\) 13.7234 + 16.2405i 1.03444 + 1.22418i
\(177\) −0.213898 + 0.419799i −0.0160776 + 0.0315540i
\(178\) −9.35029 9.01386i −0.700834 0.675618i
\(179\) −3.19230 + 2.31934i −0.238604 + 0.173356i −0.700661 0.713494i \(-0.747112\pi\)
0.462057 + 0.886850i \(0.347112\pi\)
\(180\) −1.91181 4.04289i −0.142498 0.301340i
\(181\) −1.70152 1.23623i −0.126473 0.0918880i 0.522750 0.852486i \(-0.324906\pi\)
−0.649223 + 0.760598i \(0.724906\pi\)
\(182\) 0.480572 + 2.71175i 0.0356224 + 0.201008i
\(183\) −1.41771 8.95109i −0.104800 0.661684i
\(184\) 1.65530 2.56347i 0.122031 0.188982i
\(185\) 0.462231 + 1.82544i 0.0339839 + 0.134209i
\(186\) −9.89203 3.01495i −0.725319 0.221067i
\(187\) −12.3383 24.2152i −0.902264 1.77079i
\(188\) 1.99434 + 1.85332i 0.145452 + 0.135167i
\(189\) −0.810390 + 0.263312i −0.0589472 + 0.0191531i
\(190\) 25.2141 + 9.54822i 1.82922 + 0.692701i
\(191\) −17.2629 5.60905i −1.24910 0.405857i −0.391501 0.920178i \(-0.628044\pi\)
−0.857598 + 0.514321i \(0.828044\pi\)
\(192\) 7.48341 + 2.82817i 0.540069 + 0.204106i
\(193\) −1.60192 + 1.60192i −0.115309 + 0.115309i −0.762407 0.647098i \(-0.775983\pi\)
0.647098 + 0.762407i \(0.275983\pi\)
\(194\) −6.47255 18.7450i −0.464702 1.34581i
\(195\) −5.08920 + 0.464007i −0.364445 + 0.0332283i
\(196\) −10.4148 6.99869i −0.743912 0.499906i
\(197\) 17.8169 + 2.82191i 1.26940 + 0.201053i 0.754558 0.656233i \(-0.227851\pi\)
0.514840 + 0.857286i \(0.327851\pi\)
\(198\) 3.53493 + 6.63439i 0.251216 + 0.471486i
\(199\) −8.98972 −0.637264 −0.318632 0.947878i \(-0.603223\pi\)
−0.318632 + 0.947878i \(0.603223\pi\)
\(200\) −12.0669 7.37501i −0.853256 0.521492i
\(201\) 2.43928 0.172053
\(202\) −6.22977 11.6921i −0.438325 0.822653i
\(203\) 6.04403 + 0.957280i 0.424208 + 0.0671879i
\(204\) −8.48723 5.70339i −0.594225 0.399317i
\(205\) 14.4485 + 8.60976i 1.00913 + 0.601332i
\(206\) 0.407942 + 1.18143i 0.0284227 + 0.0823143i
\(207\) 0.762865 0.762865i 0.0530228 0.0530228i
\(208\) 5.97354 6.91994i 0.414190 0.479812i
\(209\) −43.1023 14.0048i −2.98145 0.968732i
\(210\) −1.68626 + 2.10171i −0.116363 + 0.145032i
\(211\) −7.69235 + 2.49940i −0.529564 + 0.172066i −0.561581 0.827422i \(-0.689807\pi\)
0.0320176 + 0.999487i \(0.489807\pi\)
\(212\) −14.0354 13.0429i −0.963954 0.895792i
\(213\) −1.20944 2.37365i −0.0828691 0.162640i
\(214\) −3.56886 1.08774i −0.243962 0.0743563i
\(215\) −12.6657 + 7.97898i −0.863795 + 0.544162i
\(216\) 2.37610 + 1.53432i 0.161673 + 0.104397i
\(217\) 0.974720 + 6.15414i 0.0661683 + 0.417770i
\(218\) 2.68505 + 15.1511i 0.181854 + 1.02616i
\(219\) −10.2140 7.42093i −0.690200 0.501460i
\(220\) 20.8532 + 11.4128i 1.40593 + 0.769448i
\(221\) −9.45314 + 6.86811i −0.635887 + 0.461999i
\(222\) −0.857412 0.826562i −0.0575457 0.0554752i
\(223\) −6.78859 + 13.3234i −0.454597 + 0.892198i 0.543991 + 0.839091i \(0.316912\pi\)
−0.998589 + 0.0531069i \(0.983088\pi\)
\(224\) −0.440854 4.79997i −0.0294558 0.320712i
\(225\) −3.62201 3.44689i −0.241467 0.229793i
\(226\) 6.14457 8.79152i 0.408731 0.584803i
\(227\) 18.7616 + 9.55950i 1.24525 + 0.634486i 0.947377 0.320120i \(-0.103723\pi\)
0.297872 + 0.954606i \(0.403723\pi\)
\(228\) −16.7330 + 3.28259i −1.10817 + 0.217395i
\(229\) 10.7154 + 14.7484i 0.708092 + 0.974605i 0.999836 + 0.0181085i \(0.00576441\pi\)
−0.291744 + 0.956496i \(0.594236\pi\)
\(230\) 0.694223 3.34026i 0.0457757 0.220250i
\(231\) 2.66230 3.66435i 0.175167 0.241096i
\(232\) −10.2018 17.5648i −0.669783 1.15318i
\(233\) 1.39509 0.220960i 0.0913953 0.0144756i −0.110569 0.993868i \(-0.535267\pi\)
0.201965 + 0.979393i \(0.435267\pi\)
\(234\) 2.57954 1.94732i 0.168630 0.127300i
\(235\) 2.82639 + 1.12993i 0.184373 + 0.0737085i
\(236\) −0.581422 0.741540i −0.0378473 0.0482701i
\(237\) 1.44962 0.738620i 0.0941631 0.0479785i
\(238\) −0.852188 + 6.10190i −0.0552392 + 0.395527i
\(239\) −2.39820 7.38091i −0.155127 0.477431i 0.843047 0.537840i \(-0.180760\pi\)
−0.998174 + 0.0604089i \(0.980760\pi\)
\(240\) 8.94405 0.0636324i 0.577336 0.00410745i
\(241\) 1.24443 3.82996i 0.0801608 0.246709i −0.902942 0.429761i \(-0.858598\pi\)
0.983103 + 0.183052i \(0.0585977\pi\)
\(242\) −21.9424 10.6785i −1.41051 0.686443i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) 17.4318 + 4.96589i 1.11596 + 0.317909i
\(245\) −13.6808 3.10581i −0.874036 0.198423i
\(246\) −10.6356 + 0.194841i −0.678103 + 0.0124226i
\(247\) −3.04816 + 19.2453i −0.193950 + 1.22455i
\(248\) 13.7994 15.4060i 0.876265 0.978280i
\(249\) 3.62336i 0.229621i
\(250\) −15.5555 2.83305i −0.983817 0.179178i
\(251\) 5.54559i 0.350035i 0.984565 + 0.175017i \(0.0559981\pi\)
−0.984565 + 0.175017i \(0.944002\pi\)
\(252\) 0.204764 1.69184i 0.0128989 0.106576i
\(253\) −0.897111 + 5.66413i −0.0564009 + 0.356101i
\(254\) 0.230079 + 12.5591i 0.0144365 + 0.788031i
\(255\) −11.1488 2.53100i −0.698167 0.158497i
\(256\) −11.4323 + 11.1939i −0.714519 + 0.699616i
\(257\) −14.9661 14.9661i −0.933561 0.933561i 0.0643652 0.997926i \(-0.479498\pi\)
−0.997926 + 0.0643652i \(0.979498\pi\)
\(258\) 4.14293 8.51293i 0.257928 0.529992i
\(259\) −0.221742 + 0.682452i −0.0137784 + 0.0424055i
\(260\) 3.44388 9.62292i 0.213580 0.596788i
\(261\) −2.21922 6.83007i −0.137366 0.422770i
\(262\) −13.9709 1.95117i −0.863123 0.120543i
\(263\) 11.1137 5.66270i 0.685298 0.349177i −0.0764289 0.997075i \(-0.524352\pi\)
0.761727 + 0.647898i \(0.224352\pi\)
\(264\) −15.0120 + 0.825786i −0.923927 + 0.0508236i
\(265\) −19.8910 7.95200i −1.22190 0.488488i
\(266\) 6.19023 + 8.19996i 0.379548 + 0.502772i
\(267\) 9.07055 1.43663i 0.555109 0.0879206i
\(268\) −2.05412 + 4.42503i −0.125475 + 0.270302i
\(269\) −17.1911 + 23.6616i −1.04816 + 1.44267i −0.157771 + 0.987476i \(0.550431\pi\)
−0.890391 + 0.455196i \(0.849569\pi\)
\(270\) 3.09612 + 0.643482i 0.188424 + 0.0391611i
\(271\) −13.9798 19.2416i −0.849213 1.16884i −0.984036 0.177972i \(-0.943046\pi\)
0.134822 0.990870i \(-0.456954\pi\)
\(272\) 17.4935 10.5936i 1.06070 0.642333i
\(273\) −1.73513 0.884091i −0.105015 0.0535076i
\(274\) 7.61233 + 5.32041i 0.459878 + 0.321418i
\(275\) 26.3456 + 3.50633i 1.58870 + 0.211440i
\(276\) 0.741483 + 2.02630i 0.0446321 + 0.121969i
\(277\) 3.60649 7.07814i 0.216693 0.425284i −0.756914 0.653515i \(-0.773294\pi\)
0.973607 + 0.228230i \(0.0732938\pi\)
\(278\) 11.2413 11.6609i 0.674209 0.699373i
\(279\) 5.91585 4.29812i 0.354173 0.257321i
\(280\) −2.39266 4.82885i −0.142989 0.288579i
\(281\) −8.01263 5.82152i −0.477993 0.347282i 0.322555 0.946551i \(-0.395458\pi\)
−0.800548 + 0.599268i \(0.795458\pi\)
\(282\) −1.89558 + 0.335932i −0.112880 + 0.0200045i
\(283\) 2.15780 + 13.6238i 0.128268 + 0.809850i 0.965002 + 0.262241i \(0.0844616\pi\)
−0.836735 + 0.547608i \(0.815538\pi\)
\(284\) 5.32444 0.195150i 0.315948 0.0115800i
\(285\) −16.1307 + 10.1618i −0.955499 + 0.601932i
\(286\) −5.00880 + 16.4338i −0.296177 + 0.971753i
\(287\) 2.90975 + 5.71071i 0.171757 + 0.337092i
\(288\) −4.78428 + 3.01838i −0.281917 + 0.177860i
\(289\) −8.69309 + 2.82456i −0.511358 + 0.166150i
\(290\) −17.7135 14.2120i −1.04017 0.834556i
\(291\) 13.3363 + 4.33324i 0.781789 + 0.254019i
\(292\) 22.0634 12.2798i 1.29116 0.718623i
\(293\) 7.20754 7.20754i 0.421069 0.421069i −0.464503 0.885572i \(-0.653767\pi\)
0.885572 + 0.464503i \(0.153767\pi\)
\(294\) 8.38679 2.89591i 0.489127 0.168893i
\(295\) −0.905026 0.539300i −0.0526927 0.0313992i
\(296\) 2.22147 0.859359i 0.129120 0.0499492i
\(297\) −5.25014 0.831540i −0.304644 0.0482509i
\(298\) 5.68594 3.02957i 0.329377 0.175498i
\(299\) 2.46561 0.142590
\(300\) 9.30302 3.66795i 0.537110 0.211769i
\(301\) −5.70439 −0.328795
\(302\) −4.80443 + 2.55989i −0.276464 + 0.147305i
\(303\) 9.25256 + 1.46546i 0.531546 + 0.0841886i
\(304\) 8.13602 33.1191i 0.466632 1.89951i
\(305\) 20.1810 1.84000i 1.15556 0.105358i
\(306\) 6.83459 2.35995i 0.390707 0.134909i
\(307\) −5.98741 + 5.98741i −0.341719 + 0.341719i −0.857013 0.515294i \(-0.827683\pi\)
0.515294 + 0.857013i \(0.327683\pi\)
\(308\) 4.40546 + 7.91537i 0.251025 + 0.451020i
\(309\) −0.840542 0.273109i −0.0478168 0.0155366i
\(310\) 8.18914 21.6252i 0.465112 1.22823i
\(311\) 6.48610 2.10746i 0.367793 0.119503i −0.119289 0.992860i \(-0.538061\pi\)
0.487082 + 0.873356i \(0.338061\pi\)
\(312\) 1.36035 + 6.31932i 0.0770146 + 0.357761i
\(313\) 5.70941 + 11.2054i 0.322715 + 0.633364i 0.994187 0.107666i \(-0.0343377\pi\)
−0.671472 + 0.741030i \(0.734338\pi\)
\(314\) 0.847108 2.77936i 0.0478051 0.156848i
\(315\) −0.467702 1.84705i −0.0263520 0.104069i
\(316\) 0.119181 + 3.25172i 0.00670443 + 0.182923i
\(317\) −1.19548 7.54799i −0.0671451 0.423937i −0.998247 0.0591791i \(-0.981152\pi\)
0.931102 0.364758i \(-0.118848\pi\)
\(318\) 13.3404 2.36416i 0.748091 0.132575i
\(319\) 30.8835 + 22.4382i 1.72915 + 1.25630i
\(320\) −7.41636 + 16.2787i −0.414587 + 0.910010i
\(321\) 2.13433 1.55068i 0.119127 0.0865506i
\(322\) 0.902294 0.935970i 0.0502829 0.0521596i
\(323\) −19.7900 + 38.8402i −1.10115 + 2.16112i
\(324\) −1.87820 + 0.687288i −0.104344 + 0.0381827i
\(325\) −0.282989 11.4235i −0.0156974 0.633661i
\(326\) −20.9383 14.6342i −1.15966 0.810512i
\(327\) −9.69447 4.93958i −0.536105 0.273159i
\(328\) 8.60283 19.4579i 0.475012 1.07438i
\(329\) 0.681788 + 0.938401i 0.0375882 + 0.0517357i
\(330\) −15.3250 + 6.90634i −0.843615 + 0.380182i
\(331\) 0.810818 1.11599i 0.0445666 0.0613406i −0.786152 0.618033i \(-0.787930\pi\)
0.830719 + 0.556692i \(0.187930\pi\)
\(332\) −6.57305 3.05124i −0.360743 0.167459i
\(333\) 0.831760 0.131738i 0.0455802 0.00721919i
\(334\) −18.7178 24.7947i −1.02419 1.35671i
\(335\) −0.360578 + 5.44246i −0.0197005 + 0.297353i
\(336\) 2.89670 + 1.79616i 0.158028 + 0.0979887i
\(337\) −20.7515 + 10.5734i −1.13041 + 0.575972i −0.916162 0.400808i \(-0.868730\pi\)
−0.214247 + 0.976780i \(0.568730\pi\)
\(338\) −10.8926 1.52125i −0.592477 0.0827451i
\(339\) 2.34371 + 7.21321i 0.127293 + 0.391768i
\(340\) 13.9799 18.0934i 0.758165 0.981254i
\(341\) −12.0114 + 36.9672i −0.650452 + 2.00189i
\(342\) 5.27631 10.8418i 0.285310 0.586258i
\(343\) −7.99784 7.99784i −0.431843 0.431843i
\(344\) 11.9543 + 14.6843i 0.644534 + 0.791726i
\(345\) 1.58932 + 1.81485i 0.0855660 + 0.0977085i
\(346\) −0.447713 24.4390i −0.0240692 1.31385i
\(347\) 4.99495 31.5369i 0.268143 1.69299i −0.374825 0.927095i \(-0.622297\pi\)
0.642968 0.765893i \(-0.277703\pi\)
\(348\) 14.2591 + 1.72578i 0.764366 + 0.0925114i
\(349\) 5.25895i 0.281505i 0.990045 + 0.140753i \(0.0449522\pi\)
−0.990045 + 0.140753i \(0.955048\pi\)
\(350\) −4.44003 4.07301i −0.237329 0.217712i
\(351\) 2.28540i 0.121986i
\(352\) 11.1436 27.9284i 0.593958 1.48859i
\(353\) −2.99157 + 18.8880i −0.159225 + 1.00531i 0.770603 + 0.637315i \(0.219955\pi\)
−0.929828 + 0.367994i \(0.880045\pi\)
\(354\) 0.666196 0.0122045i 0.0354079 0.000648661i
\(355\) 5.47481 2.34759i 0.290573 0.124597i
\(356\) −5.03217 + 17.6644i −0.266704 + 0.936214i
\(357\) −3.08056 3.08056i −0.163040 0.163040i
\(358\) 5.01770 + 2.44193i 0.265194 + 0.129060i
\(359\) 11.0111 33.8886i 0.581142 1.78857i −0.0330986 0.999452i \(-0.510538\pi\)
0.614241 0.789119i \(-0.289462\pi\)
\(360\) −3.77457 + 5.07470i −0.198937 + 0.267460i
\(361\) 16.5918 + 51.0642i 0.873250 + 2.68759i
\(362\) −0.411406 + 2.94578i −0.0216230 + 0.154827i
\(363\) 15.3747 7.83380i 0.806962 0.411168i
\(364\) 3.06496 2.40315i 0.160647 0.125959i
\(365\) 18.0673 21.6923i 0.945683 1.13543i
\(366\) −10.2291 + 7.72203i −0.534683 + 0.403637i
\(367\) −33.9446 + 5.37630i −1.77189 + 0.280640i −0.955099 0.296287i \(-0.904251\pi\)
−0.816795 + 0.576928i \(0.804251\pi\)
\(368\) −4.30027 0.361248i −0.224167 0.0188314i
\(369\) 4.42120 6.08526i 0.230158 0.316786i
\(370\) 1.97095 1.79085i 0.102465 0.0931020i
\(371\) −4.79816 6.60410i −0.249108 0.342868i
\(372\) 2.81535 + 14.3512i 0.145969 + 0.744077i
\(373\) −15.0514 7.66905i −0.779330 0.397089i 0.0186087 0.999827i \(-0.494076\pi\)
−0.797939 + 0.602738i \(0.794076\pi\)
\(374\) −22.0180 + 31.5028i −1.13852 + 1.62897i
\(375\) 8.22604 7.57181i 0.424791 0.391007i
\(376\) 0.986869 3.72162i 0.0508939 0.191928i
\(377\) 7.45122 14.6238i 0.383757 0.753166i
\(378\) 0.867559 + 0.836344i 0.0446224 + 0.0430169i
\(379\) −6.99431 + 5.08166i −0.359274 + 0.261028i −0.752749 0.658308i \(-0.771273\pi\)
0.393475 + 0.919335i \(0.371273\pi\)
\(380\) −4.85054 37.8195i −0.248828 1.94010i
\(381\) −7.18581 5.22079i −0.368140 0.267469i
\(382\) 4.47936 + 25.2759i 0.229184 + 1.29323i
\(383\) 0.0995039 + 0.628243i 0.00508441 + 0.0321017i 0.990100 0.140363i \(-0.0448269\pi\)
−0.985016 + 0.172465i \(0.944827\pi\)
\(384\) −1.44671 11.2208i −0.0738271 0.572611i
\(385\) 7.78226 + 6.48174i 0.396621 + 0.330340i
\(386\) 3.06467 + 0.934067i 0.155987 + 0.0475427i
\(387\) 3.03926 + 5.96488i 0.154494 + 0.303212i
\(388\) −19.0914 + 20.5441i −0.969217 + 1.04297i
\(389\) 29.9117 9.71889i 1.51658 0.492767i 0.571779 0.820407i \(-0.306253\pi\)
0.944803 + 0.327640i \(0.106253\pi\)
\(390\) 3.96351 + 6.04327i 0.200700 + 0.306013i
\(391\) 5.24597 + 1.70452i 0.265300 + 0.0862012i
\(392\) −1.80913 + 17.6529i −0.0913748 + 0.891606i
\(393\) 7.05323 7.05323i 0.355788 0.355788i
\(394\) −8.32639 24.1139i −0.419477 1.21484i
\(395\) 1.43371 + 3.34355i 0.0721375 + 0.168232i
\(396\) 5.92963 8.82390i 0.297975 0.443418i
\(397\) −20.0568 3.17669i −1.00662 0.159434i −0.368713 0.929543i \(-0.620201\pi\)
−0.637911 + 0.770110i \(0.720201\pi\)
\(398\) 5.97827 + 11.2201i 0.299664 + 0.562412i
\(399\) −7.26493 −0.363701
\(400\) −1.18015 + 19.9652i −0.0590074 + 0.998258i
\(401\) −1.22942 −0.0613944 −0.0306972 0.999529i \(-0.509773\pi\)
−0.0306972 + 0.999529i \(0.509773\pi\)
\(402\) −1.62215 3.04447i −0.0809055 0.151844i
\(403\) 16.5060 + 2.61429i 0.822222 + 0.130227i
\(404\) −10.4501 + 15.5508i −0.519910 + 0.773680i
\(405\) −1.68221 + 1.47315i −0.0835895 + 0.0732016i
\(406\) −2.82457 8.18017i −0.140181 0.405975i
\(407\) −3.16529 + 3.16529i −0.156898 + 0.156898i
\(408\) −1.47430 + 14.3858i −0.0729888 + 0.712201i
\(409\) −19.0925 6.20354i −0.944065 0.306745i −0.203763 0.979020i \(-0.565317\pi\)
−0.740302 + 0.672275i \(0.765317\pi\)
\(410\) 1.13745 23.7588i 0.0561747 1.17336i
\(411\) −6.24571 + 2.02936i −0.308078 + 0.100101i
\(412\) 1.20326 1.29482i 0.0592805 0.0637912i
\(413\) −0.182261 0.357708i −0.00896850 0.0176017i
\(414\) −1.45945 0.444819i −0.0717280 0.0218617i
\(415\) −8.08436 0.535611i −0.396846 0.0262921i
\(416\) −12.6093 2.85374i −0.618220 0.139916i
\(417\) 1.79165 + 11.3120i 0.0877373 + 0.553952i
\(418\) 11.1842 + 63.1095i 0.547035 + 3.08678i
\(419\) −1.57504 1.14434i −0.0769459 0.0559045i 0.548647 0.836054i \(-0.315143\pi\)
−0.625593 + 0.780149i \(0.715143\pi\)
\(420\) 3.74453 + 0.706956i 0.182714 + 0.0344959i
\(421\) 8.37894 6.08766i 0.408365 0.296694i −0.364575 0.931174i \(-0.618786\pi\)
0.772939 + 0.634480i \(0.218786\pi\)
\(422\) 8.23501 + 7.93871i 0.400874 + 0.386451i
\(423\) 0.618002 1.21290i 0.0300483 0.0589730i
\(424\) −6.94520 + 26.1913i −0.337289 + 1.27196i
\(425\) 7.29514 24.5009i 0.353866 1.18847i
\(426\) −2.15827 + 3.08800i −0.104568 + 0.149614i
\(427\) 6.88058 + 3.50583i 0.332974 + 0.169659i
\(428\) 1.01573 + 5.17766i 0.0490971 + 0.250272i
\(429\) −7.14055 9.82812i −0.344749 0.474506i
\(430\) 18.3814 + 10.5020i 0.886432 + 0.506452i
\(431\) −17.5247 + 24.1207i −0.844135 + 1.16185i 0.140989 + 0.990011i \(0.454972\pi\)
−0.985125 + 0.171841i \(0.945028\pi\)
\(432\) 0.334844 3.98596i 0.0161102 0.191775i
\(433\) 35.3157 5.59347i 1.69717 0.268805i 0.768535 0.639808i \(-0.220986\pi\)
0.928632 + 0.371003i \(0.120986\pi\)
\(434\) 7.03279 5.30913i 0.337585 0.254846i
\(435\) 15.5671 3.94185i 0.746387 0.188997i
\(436\) 17.1245 13.4269i 0.820114 0.643030i
\(437\) 8.19572 4.17593i 0.392054 0.199762i
\(438\) −2.46962 + 17.6832i −0.118003 + 0.844934i
\(439\) −4.69459 14.4485i −0.224060 0.689587i −0.998386 0.0567991i \(-0.981911\pi\)
0.774325 0.632788i \(-0.218089\pi\)
\(440\) 0.376630 33.6166i 0.0179551 1.60261i
\(441\) −1.93875 + 5.96687i −0.0923215 + 0.284136i
\(442\) 14.8586 + 7.23111i 0.706750 + 0.343949i
\(443\) −6.90818 6.90818i −0.328217 0.328217i 0.523691 0.851908i \(-0.324555\pi\)
−0.851908 + 0.523691i \(0.824555\pi\)
\(444\) −0.461444 + 1.61981i −0.0218992 + 0.0768728i
\(445\) 1.86456 + 20.4504i 0.0883887 + 0.969440i
\(446\) 21.1434 0.387340i 1.00117 0.0183411i
\(447\) −0.712663 + 4.49958i −0.0337078 + 0.212823i
\(448\) −5.69768 + 3.74227i −0.269190 + 0.176806i
\(449\) 5.94109i 0.280377i −0.990125 0.140189i \(-0.955229\pi\)
0.990125 0.140189i \(-0.0447709\pi\)
\(450\) −1.89340 + 6.81286i −0.0892555 + 0.321161i
\(451\) 39.9827i 1.88271i
\(452\) −15.0589 1.82259i −0.708313 0.0857273i
\(453\) 0.602177 3.80200i 0.0282927 0.178633i
\(454\) −0.545441 29.7735i −0.0255988 1.39734i
\(455\) 2.22905 3.74068i 0.104500 0.175366i
\(456\) 15.2246 + 18.7015i 0.712959 + 0.875779i
\(457\) −7.76750 7.76750i −0.363348 0.363348i 0.501696 0.865044i \(-0.332710\pi\)
−0.865044 + 0.501696i \(0.832710\pi\)
\(458\) 11.2817 23.1818i 0.527160 1.08321i
\(459\) −1.57993 + 4.86254i −0.0737450 + 0.226964i
\(460\) −4.63065 + 1.35485i −0.215905 + 0.0631702i
\(461\) 0.193509 + 0.595560i 0.00901262 + 0.0277380i 0.955462 0.295115i \(-0.0953580\pi\)
−0.946449 + 0.322853i \(0.895358\pi\)
\(462\) −6.34394 0.885992i −0.295147 0.0412201i
\(463\) −14.8562 + 7.56962i −0.690427 + 0.351790i −0.763744 0.645519i \(-0.776641\pi\)
0.0733178 + 0.997309i \(0.476641\pi\)
\(464\) −15.1383 + 24.4137i −0.702776 + 1.13338i
\(465\) 8.71537 + 13.8347i 0.404165 + 0.641567i
\(466\) −1.20353 1.59427i −0.0557525 0.0738532i
\(467\) −18.8901 + 2.99190i −0.874131 + 0.138449i −0.577350 0.816497i \(-0.695913\pi\)
−0.296781 + 0.954946i \(0.595913\pi\)
\(468\) −4.14588 1.92454i −0.191644 0.0889618i
\(469\) −1.22171 + 1.68154i −0.0564133 + 0.0776463i
\(470\) −0.469316 4.27904i −0.0216479 0.197377i
\(471\) 1.20764 + 1.66217i 0.0556450 + 0.0765888i
\(472\) −0.538865 + 1.21881i −0.0248033 + 0.0561001i
\(473\) −31.7068 16.1554i −1.45788 0.742828i
\(474\) −1.88589 1.31809i −0.0866218 0.0605417i
\(475\) −20.2883 37.4925i −0.930889 1.72027i
\(476\) 8.18251 2.99422i 0.375045 0.137240i
\(477\) −4.34925 + 8.53589i −0.199139 + 0.390832i
\(478\) −7.61729 + 7.90159i −0.348407 + 0.361410i
\(479\) 27.1965 19.7594i 1.24264 0.902830i 0.244868 0.969556i \(-0.421255\pi\)
0.997771 + 0.0667262i \(0.0212554\pi\)
\(480\) −6.02732 11.1208i −0.275108 0.507591i
\(481\) 1.55703 + 1.13125i 0.0709946 + 0.0515806i
\(482\) −5.60774 + 0.993795i −0.255426 + 0.0452661i
\(483\) 0.143808 + 0.907968i 0.00654349 + 0.0413140i
\(484\) 1.26403 + 34.4877i 0.0574559 + 1.56762i
\(485\) −11.6396 + 29.1152i −0.528528 + 1.32205i
\(486\) 0.412307 1.35278i 0.0187026 0.0613632i
\(487\) 9.51138 + 18.6671i 0.431002 + 0.845888i 0.999727 + 0.0233609i \(0.00743668\pi\)
−0.568725 + 0.822527i \(0.692563\pi\)
\(488\) −5.39442 25.0590i −0.244194 1.13437i
\(489\) 17.1793 5.58189i 0.776874 0.252422i
\(490\) 5.22155 + 19.1405i 0.235885 + 0.864679i
\(491\) −9.85771 3.20297i −0.444872 0.144548i 0.0780101 0.996953i \(-0.475143\pi\)
−0.522883 + 0.852405i \(0.675143\pi\)
\(492\) 7.31601 + 13.1448i 0.329831 + 0.592613i
\(493\) 25.9633 25.9633i 1.16933 1.16933i
\(494\) 26.0472 8.99396i 1.17192 0.404657i
\(495\) 2.63140 11.5911i 0.118273 0.520980i
\(496\) −28.4050 6.97795i −1.27542 0.313319i
\(497\) 2.24204 + 0.355105i 0.100569 + 0.0159286i
\(498\) 4.52233 2.40958i 0.202650 0.107976i
\(499\) −17.4872 −0.782833 −0.391416 0.920214i \(-0.628015\pi\)
−0.391416 + 0.920214i \(0.628015\pi\)
\(500\) 6.80867 + 21.2989i 0.304493 + 0.952515i
\(501\) 21.9674 0.981432
\(502\) 6.92146 3.68789i 0.308920 0.164598i
\(503\) −38.2850 6.06375i −1.70704 0.270369i −0.774801 0.632205i \(-0.782150\pi\)
−0.932242 + 0.361836i \(0.882150\pi\)
\(504\) −2.24776 + 0.869530i −0.100123 + 0.0387319i
\(505\) −4.63743 + 20.4275i −0.206363 + 0.909011i
\(506\) 7.66601 2.64703i 0.340796 0.117675i
\(507\) 5.49914 5.49914i 0.244225 0.244225i
\(508\) 15.5221 8.63914i 0.688681 0.383300i
\(509\) 7.83998 + 2.54737i 0.347501 + 0.112910i 0.477567 0.878595i \(-0.341519\pi\)
−0.130066 + 0.991505i \(0.541519\pi\)
\(510\) 4.25516 + 15.5980i 0.188422 + 0.690692i
\(511\) 10.2314 3.32437i 0.452609 0.147062i
\(512\) 21.5737 + 6.82465i 0.953432 + 0.301610i
\(513\) 3.87071 + 7.59669i 0.170896 + 0.335402i
\(514\) −8.72660 + 28.6319i −0.384914 + 1.26290i
\(515\) 0.733604 1.83503i 0.0323265 0.0808610i
\(516\) −13.3801 + 0.490403i −0.589026 + 0.0215888i
\(517\) 1.13195 + 7.14683i 0.0497830 + 0.314317i
\(518\) 0.999231 0.177082i 0.0439037 0.00778054i
\(519\) 13.9829 + 10.1592i 0.613782 + 0.445939i
\(520\) −14.3006 + 2.10105i −0.627123 + 0.0921370i
\(521\) −21.9852 + 15.9732i −0.963190 + 0.699799i −0.953890 0.300158i \(-0.902961\pi\)
−0.00930086 + 0.999957i \(0.502961\pi\)
\(522\) −7.04881 + 7.31189i −0.308518 + 0.320033i
\(523\) −7.57962 + 14.8758i −0.331434 + 0.650475i −0.995243 0.0974269i \(-0.968939\pi\)
0.663809 + 0.747902i \(0.268939\pi\)
\(524\) 6.85554 + 18.7346i 0.299486 + 0.818426i
\(525\) 4.19022 0.770492i 0.182876 0.0336270i
\(526\) −14.4583 10.1052i −0.630414 0.440609i
\(527\) 33.3117 + 16.9732i 1.45108 + 0.739363i
\(528\) 11.0139 + 18.1874i 0.479317 + 0.791505i
\(529\) 12.8349 + 17.6658i 0.558040 + 0.768076i
\(530\) 3.30286 + 30.1142i 0.143467 + 1.30808i
\(531\) −0.276936 + 0.381169i −0.0120180 + 0.0165413i
\(532\) 6.11781 13.1791i 0.265241 0.571387i
\(533\) 16.9787 2.68915i 0.735427 0.116480i
\(534\) −7.82509 10.3656i −0.338625 0.448563i
\(535\) 3.14434 + 4.99129i 0.135942 + 0.215792i
\(536\) 6.88891 0.378946i 0.297555 0.0163680i
\(537\) −3.51583 + 1.79140i −0.151719 + 0.0773048i
\(538\) 40.9644 + 5.72107i 1.76610 + 0.246653i
\(539\) −10.3056 31.7174i −0.443894 1.36616i
\(540\) −1.25582 4.29219i −0.0540420 0.184707i
\(541\) 11.1251 34.2397i 0.478308 1.47208i −0.363137 0.931736i \(-0.618294\pi\)
0.841445 0.540343i \(-0.181706\pi\)
\(542\) −14.7187 + 30.2441i −0.632222 + 1.29910i
\(543\) −1.48718 1.48718i −0.0638212 0.0638212i
\(544\) −24.8553 14.7888i −1.06566 0.634063i
\(545\) 12.4541 20.8999i 0.533476 0.895253i
\(546\) 0.0504440 + 2.75354i 0.00215880 + 0.117841i
\(547\) −3.38368 + 21.3637i −0.144676 + 0.913445i 0.803409 + 0.595427i \(0.203017\pi\)
−0.948085 + 0.318018i \(0.896983\pi\)
\(548\) 1.57813 13.0391i 0.0674142 0.557003i
\(549\) 9.06267i 0.386785i
\(550\) −13.1439 35.2138i −0.560457 1.50152i
\(551\) 61.2297i 2.60847i
\(552\) 2.03594 2.27296i 0.0866553 0.0967438i
\(553\) −0.216867 + 1.36925i −0.00922214 + 0.0582263i
\(554\) −11.2326 + 0.205778i −0.477228 + 0.00874265i
\(555\) 0.170978 + 1.87528i 0.00725762 + 0.0796011i
\(556\) −22.0296 6.27569i −0.934262 0.266148i
\(557\) −7.36010 7.36010i −0.311858 0.311858i 0.533771 0.845629i \(-0.320774\pi\)
−0.845629 + 0.533771i \(0.820774\pi\)
\(558\) −9.29860 4.52529i −0.393641 0.191571i
\(559\) −4.72787 + 14.5509i −0.199968 + 0.615437i
\(560\) −4.43575 + 6.19753i −0.187445 + 0.261893i
\(561\) −8.39827 25.8472i −0.354575 1.09127i
\(562\) −1.93735 + 13.8720i −0.0817222 + 0.585153i
\(563\) −12.9143 + 6.58015i −0.544272 + 0.277320i −0.704433 0.709771i \(-0.748799\pi\)
0.160161 + 0.987091i \(0.448799\pi\)
\(564\) 1.67986 + 2.14248i 0.0707350 + 0.0902148i
\(565\) −16.4404 + 4.16297i −0.691652 + 0.175137i
\(566\) 15.5689 11.7531i 0.654410 0.494021i
\(567\) −0.841604 + 0.133297i −0.0353441 + 0.00559795i
\(568\) −3.78439 6.51567i −0.158789 0.273392i
\(569\) 12.6875 17.4629i 0.531890 0.732083i −0.455527 0.890222i \(-0.650549\pi\)
0.987417 + 0.158139i \(0.0505493\pi\)
\(570\) 23.4100 + 13.3750i 0.980538 + 0.560218i
\(571\) 18.4488 + 25.3926i 0.772057 + 1.06265i 0.996114 + 0.0880697i \(0.0280698\pi\)
−0.224057 + 0.974576i \(0.571930\pi\)
\(572\) 23.8420 4.67720i 0.996885 0.195564i
\(573\) −16.1729 8.24051i −0.675633 0.344252i
\(574\) 5.19253 7.42936i 0.216732 0.310095i
\(575\) −4.28420 + 3.27778i −0.178663 + 0.136693i
\(576\) 6.94885 + 3.96402i 0.289536 + 0.165167i
\(577\) 9.31816 18.2879i 0.387920 0.761336i −0.611636 0.791139i \(-0.709488\pi\)
0.999556 + 0.0298037i \(0.00948823\pi\)
\(578\) 9.30634 + 8.97150i 0.387093 + 0.373165i
\(579\) −1.83280 + 1.33161i −0.0761685 + 0.0553397i
\(580\) −5.95831 + 31.5594i −0.247405 + 1.31043i
\(581\) −2.49780 1.81476i −0.103626 0.0752888i
\(582\) −3.46050 19.5268i −0.143442 0.809410i
\(583\) −7.96620 50.2966i −0.329926 2.08307i
\(584\) −29.9989 19.3711i −1.24136 0.801582i
\(585\) −5.09913 0.337831i −0.210823 0.0139676i
\(586\) −13.7888 4.20265i −0.569612 0.173610i
\(587\) −3.60722 7.07957i −0.148886 0.292205i 0.804503 0.593948i \(-0.202432\pi\)
−0.953389 + 0.301743i \(0.902432\pi\)
\(588\) −9.19171 8.54175i −0.379060 0.352256i
\(589\) 59.2938 19.2657i 2.44316 0.793830i
\(590\) −0.0712478 + 1.48821i −0.00293323 + 0.0612685i
\(591\) 17.1561 + 5.57434i 0.705706 + 0.229298i
\(592\) −2.54987 2.20114i −0.104799 0.0904663i
\(593\) 19.3473 19.3473i 0.794499 0.794499i −0.187723 0.982222i \(-0.560111\pi\)
0.982222 + 0.187723i \(0.0601106\pi\)
\(594\) 2.45356 + 7.10570i 0.100671 + 0.291550i
\(595\) 7.32864 6.41790i 0.300445 0.263108i
\(596\) −7.56243 5.08193i −0.309769 0.208164i
\(597\) −8.87904 1.40630i −0.363395 0.0575561i
\(598\) −1.63966 3.07734i −0.0670508 0.125842i
\(599\) −11.1236 −0.454498 −0.227249 0.973837i \(-0.572973\pi\)
−0.227249 + 0.973837i \(0.572973\pi\)
\(600\) −10.7646 9.17188i −0.439463 0.374440i
\(601\) −33.1954 −1.35407 −0.677034 0.735952i \(-0.736735\pi\)
−0.677034 + 0.735952i \(0.736735\pi\)
\(602\) 3.79349 + 7.11966i 0.154611 + 0.290176i
\(603\) 2.40925 + 0.381587i 0.0981121 + 0.0155394i
\(604\) 6.39001 + 4.29406i 0.260006 + 0.174723i
\(605\) 15.2059 + 35.4617i 0.618207 + 1.44172i
\(606\) −4.32402 12.5227i −0.175651 0.508700i
\(607\) 28.9683 28.9683i 1.17579 1.17579i 0.194978 0.980808i \(-0.437536\pi\)
0.980808 0.194978i \(-0.0624637\pi\)
\(608\) −46.7466 + 11.8701i −1.89583 + 0.481394i
\(609\) 5.81986 + 1.89099i 0.235833 + 0.0766267i
\(610\) −15.7171 23.9644i −0.636369 0.970289i
\(611\) 2.95877 0.961363i 0.119699 0.0388926i
\(612\) −7.49054 6.96087i −0.302787 0.281376i
\(613\) 11.7078 + 22.9778i 0.472872 + 0.928064i 0.997072 + 0.0764685i \(0.0243645\pi\)
−0.524200 + 0.851595i \(0.675636\pi\)
\(614\) 11.4546 + 3.49120i 0.462270 + 0.140893i
\(615\) 12.9237 + 10.7640i 0.521135 + 0.434047i
\(616\) 6.94950 10.7623i 0.280003 0.433625i
\(617\) −4.38555 27.6893i −0.176556 1.11473i −0.903676 0.428218i \(-0.859142\pi\)
0.727120 0.686510i \(-0.240858\pi\)
\(618\) 0.218103 + 1.23070i 0.00877340 + 0.0495062i
\(619\) −20.3998 14.8213i −0.819938 0.595720i 0.0967565 0.995308i \(-0.469153\pi\)
−0.916695 + 0.399588i \(0.869153\pi\)
\(620\) −32.4363 + 4.16013i −1.30267 + 0.167075i
\(621\) 0.872811 0.634135i 0.0350247 0.0254469i
\(622\) −6.94367 6.69383i −0.278416 0.268398i
\(623\) −3.55262 + 6.97240i −0.142333 + 0.279343i
\(624\) 6.98251 5.90028i 0.279524 0.236200i
\(625\) 15.6781 + 19.4730i 0.627123 + 0.778921i
\(626\) 10.1886 14.5776i 0.407218 0.582639i
\(627\) −40.3808 20.5751i −1.61266 0.821689i
\(628\) −4.03226 + 0.791027i −0.160905 + 0.0315654i
\(629\) 2.53077 + 3.48331i 0.100909 + 0.138889i
\(630\) −1.99428 + 1.81205i −0.0794539 + 0.0721937i
\(631\) 15.9052 21.8916i 0.633176 0.871492i −0.365053 0.930987i \(-0.618949\pi\)
0.998229 + 0.0594952i \(0.0189491\pi\)
\(632\) 3.97922 2.31118i 0.158285 0.0919338i
\(633\) −7.98864 + 1.26528i −0.317520 + 0.0502902i
\(634\) −8.62565 + 6.51159i −0.342568 + 0.258608i
\(635\) 12.7107 15.2611i 0.504410 0.605617i
\(636\) −11.8222 15.0780i −0.468782 0.597880i
\(637\) −12.7756 + 6.50952i −0.506190 + 0.257916i
\(638\) 7.46725 53.4675i 0.295631 2.11680i
\(639\) −0.823224 2.53362i −0.0325663 0.100229i
\(640\) 25.2495 1.56918i 0.998074 0.0620274i
\(641\) −3.67884 + 11.3223i −0.145305 + 0.447204i −0.997050 0.0767532i \(-0.975545\pi\)
0.851745 + 0.523957i \(0.175545\pi\)
\(642\) −3.35476 1.63264i −0.132402 0.0644352i
\(643\) −10.0895 10.0895i −0.397891 0.397891i 0.479597 0.877489i \(-0.340783\pi\)
−0.877489 + 0.479597i \(0.840783\pi\)
\(644\) −1.76822 0.503723i −0.0696777 0.0198495i
\(645\) −13.7580 + 5.89939i −0.541720 + 0.232288i
\(646\) 61.6371 1.12917i 2.42508 0.0444266i
\(647\) −0.406782 + 2.56832i −0.0159923 + 0.100971i −0.994393 0.105744i \(-0.966277\pi\)
0.978401 + 0.206716i \(0.0662775\pi\)
\(648\) 2.10683 + 1.88713i 0.0827642 + 0.0741335i
\(649\) 2.50444i 0.0983080i
\(650\) −14.0695 + 7.94996i −0.551851 + 0.311823i
\(651\) 6.23085i 0.244206i
\(652\) −4.34075 + 35.8650i −0.169997 + 1.40458i
\(653\) 0.567698 3.58430i 0.0222157 0.140265i −0.974087 0.226172i \(-0.927379\pi\)
0.996303 + 0.0859073i \(0.0273789\pi\)
\(654\) 0.281840 + 15.3846i 0.0110208 + 0.601584i
\(655\) 14.6944 + 16.7796i 0.574157 + 0.655634i
\(656\) −30.0064 + 2.20253i −1.17155 + 0.0859943i
\(657\) −8.92739 8.92739i −0.348291 0.348291i
\(658\) 0.717823 1.47499i 0.0279836 0.0575011i
\(659\) −13.9159 + 42.8287i −0.542087 + 1.66837i 0.185731 + 0.982601i \(0.440535\pi\)
−0.727818 + 0.685770i \(0.759465\pi\)
\(660\) 18.8112 + 14.5344i 0.732223 + 0.565751i
\(661\) −8.18738 25.1982i −0.318452 0.980095i −0.974310 0.225210i \(-0.927693\pi\)
0.655858 0.754884i \(-0.272307\pi\)
\(662\) −1.93208 0.269833i −0.0750924 0.0104874i
\(663\) −10.4112 + 5.30476i −0.404336 + 0.206020i
\(664\) 0.562896 + 10.2329i 0.0218446 + 0.397115i
\(665\) 1.07391 16.2093i 0.0416446 0.628571i
\(666\) −0.717553 0.950514i −0.0278046 0.0368317i
\(667\) −7.65246 + 1.21203i −0.296305 + 0.0469300i
\(668\) −18.4988 + 39.8505i −0.715741 + 1.54186i
\(669\) −8.78924 + 12.0974i −0.339812 + 0.467711i
\(670\) 7.03254 3.16926i 0.271691 0.122439i
\(671\) 28.3156 + 38.9731i 1.09311 + 1.50454i
\(672\) 0.315455 4.80984i 0.0121690 0.185544i
\(673\) −40.9245 20.8521i −1.57752 0.803788i −0.577600 0.816320i \(-0.696011\pi\)
−0.999921 + 0.0125321i \(0.996011\pi\)
\(674\) 26.9968 + 18.8686i 1.03988 + 0.726791i
\(675\) −3.03820 3.97106i −0.116940 0.152846i
\(676\) 5.34501 + 14.6067i 0.205577 + 0.561795i
\(677\) −9.13864 + 17.9356i −0.351226 + 0.689321i −0.997259 0.0739891i \(-0.976427\pi\)
0.646033 + 0.763310i \(0.276427\pi\)
\(678\) 7.44422 7.72206i 0.285894 0.296564i
\(679\) −9.66664 + 7.02323i −0.370972 + 0.269527i
\(680\) −31.8792 5.41595i −1.22251 0.207692i
\(681\) 17.0351 + 12.3768i 0.652788 + 0.474278i
\(682\) 54.1266 9.59222i 2.07261 0.367305i
\(683\) −1.61736 10.2116i −0.0618867 0.390737i −0.999117 0.0420251i \(-0.986619\pi\)
0.937230 0.348712i \(-0.113381\pi\)
\(684\) −17.0405 + 0.624561i −0.651559 + 0.0238807i
\(685\) −3.60460 14.2353i −0.137725 0.543902i
\(686\) −4.66346 + 15.3008i −0.178052 + 0.584186i
\(687\) 8.27628 + 16.2431i 0.315760 + 0.619714i
\(688\) 10.3778 24.6855i 0.395649 0.941125i
\(689\) −20.8227 + 6.76570i −0.793281 + 0.257752i
\(690\) 1.20821 3.19053i 0.0459957 0.121461i
\(691\) 2.93448 + 0.953470i 0.111633 + 0.0362717i 0.364301 0.931281i \(-0.381308\pi\)
−0.252668 + 0.967553i \(0.581308\pi\)
\(692\) −30.2046 + 16.8110i −1.14821 + 0.639058i
\(693\) 3.20276 3.20276i 0.121663 0.121663i
\(694\) −42.6829 + 14.7382i −1.62022 + 0.559454i
\(695\) −25.5039 + 2.32532i −0.967419 + 0.0882044i
\(696\) −7.32850 18.9444i −0.277786 0.718086i
\(697\) 37.9837 + 6.01603i 1.43874 + 0.227874i
\(698\) 6.56371 3.49727i 0.248440 0.132373i
\(699\) 1.41248 0.0534249
\(700\) −2.13087 + 8.25021i −0.0805392 + 0.311829i
\(701\) −8.01163 −0.302595 −0.151297 0.988488i \(-0.548345\pi\)
−0.151297 + 0.988488i \(0.548345\pi\)
\(702\) 2.85241 1.51982i 0.107657 0.0573618i
\(703\) 7.09155 + 1.12319i 0.267463 + 0.0423620i
\(704\) −42.2681 + 4.66430i −1.59304 + 0.175792i
\(705\) 2.61483 + 1.55816i 0.0984803 + 0.0586838i
\(706\) 25.5636 8.82699i 0.962100 0.332208i
\(707\) −5.64437 + 5.64437i −0.212278 + 0.212278i
\(708\) −0.458261 0.823365i −0.0172225 0.0309439i
\(709\) −13.2114 4.29265i −0.496166 0.161214i 0.0502358 0.998737i \(-0.484003\pi\)
−0.546401 + 0.837523i \(0.684003\pi\)
\(710\) −6.57085 5.27195i −0.246599 0.197853i
\(711\) 1.54732 0.502755i 0.0580291 0.0188548i
\(712\) 25.3935 5.46641i 0.951661 0.204862i
\(713\) −3.58153 7.02915i −0.134129 0.263244i
\(714\) −1.79624 + 5.89346i −0.0672227 + 0.220557i
\(715\) 22.9838 14.4790i 0.859546 0.541485i
\(716\) −0.289054 7.88651i −0.0108024 0.294733i
\(717\) −1.21405 7.66520i −0.0453394 0.286262i
\(718\) −49.6189 + 8.79338i −1.85176 + 0.328166i
\(719\) 12.9114 + 9.38067i 0.481513 + 0.349840i 0.801911 0.597443i \(-0.203817\pi\)
−0.320398 + 0.947283i \(0.603817\pi\)
\(720\) 8.84388 + 1.33631i 0.329592 + 0.0498013i
\(721\) 0.609255 0.442650i 0.0226898 0.0164851i
\(722\) 52.6996 54.6665i 1.96128 2.03448i
\(723\) 1.82825 3.58814i 0.0679932 0.133444i
\(724\) 3.95022 1.44550i 0.146809 0.0537216i
\(725\) 6.49380 + 35.3157i 0.241174 + 1.31159i
\(726\) −20.0017 13.9796i −0.742334 0.518832i
\(727\) −6.07181 3.09374i −0.225191 0.114741i 0.337756 0.941234i \(-0.390332\pi\)
−0.562946 + 0.826493i \(0.690332\pi\)
\(728\) −5.03761 2.22726i −0.186706 0.0825476i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −39.0892 8.12412i −1.44676 0.300687i
\(731\) −20.1185 + 27.6908i −0.744111 + 1.02418i
\(732\) 16.4403 + 7.63169i 0.607653 + 0.282075i
\(733\) −43.7525 + 6.92971i −1.61603 + 0.255955i −0.897981 0.440034i \(-0.854967\pi\)
−0.718053 + 0.695988i \(0.754967\pi\)
\(734\) 29.2837 + 38.7910i 1.08088 + 1.43180i
\(735\) −13.0265 5.20773i −0.480491 0.192090i
\(736\) 2.40886 + 5.60741i 0.0887916 + 0.206692i
\(737\) −11.5530 + 5.88653i −0.425559 + 0.216833i
\(738\) −10.5352 1.47134i −0.387805 0.0541607i
\(739\) −15.9575 49.1120i −0.587005 1.80661i −0.591066 0.806623i \(-0.701293\pi\)
0.00406139 0.999992i \(-0.498707\pi\)
\(740\) −3.54587 1.26901i −0.130349 0.0466496i
\(741\) −6.02127 + 18.5316i −0.221197 + 0.680774i
\(742\) −5.05176 + 10.3804i −0.185456 + 0.381076i
\(743\) −16.6280 16.6280i −0.610022 0.610022i 0.332930 0.942952i \(-0.391963\pi\)
−0.942952 + 0.332930i \(0.891963\pi\)
\(744\) 16.0396 13.0576i 0.588039 0.478715i
\(745\) −9.93400 2.25521i −0.363954 0.0826246i
\(746\) 0.437577 + 23.8857i 0.0160208 + 0.874516i
\(747\) −0.566819 + 3.57875i −0.0207388 + 0.130940i
\(748\) 53.9610 + 6.53091i 1.97301 + 0.238794i
\(749\) 2.24798i 0.0821393i
\(750\) −14.9208 5.23159i −0.544831 0.191031i
\(751\) 18.4403i 0.672897i 0.941702 + 0.336449i \(0.109226\pi\)
−0.941702 + 0.336449i \(0.890774\pi\)
\(752\) −5.30124 + 1.24321i −0.193316 + 0.0453351i
\(753\) −0.867522 + 5.47732i −0.0316142 + 0.199604i
\(754\) −23.2072 + 0.425148i −0.845156 + 0.0154830i
\(755\) 8.39391 + 1.90558i 0.305486 + 0.0693512i
\(756\) 0.466906 1.63898i 0.0169812 0.0596092i
\(757\) −18.0592 18.0592i −0.656374 0.656374i 0.298146 0.954520i \(-0.403632\pi\)
−0.954520 + 0.298146i \(0.903632\pi\)
\(758\) 10.9937 + 5.35025i 0.399310 + 0.194330i
\(759\) −1.77213 + 5.45406i −0.0643243 + 0.197970i
\(760\) −43.9769 + 31.2044i −1.59521 + 1.13190i
\(761\) −2.85694 8.79274i −0.103564 0.318737i 0.885827 0.464016i \(-0.153592\pi\)
−0.989391 + 0.145279i \(0.953592\pi\)
\(762\) −1.73744 + 12.4405i −0.0629407 + 0.450672i
\(763\) 8.26061 4.20899i 0.299054 0.152376i
\(764\) 28.5681 22.3995i 1.03356 0.810386i
\(765\) −10.6156 4.24390i −0.383809 0.153439i
\(766\) 0.717940 0.541980i 0.0259402 0.0195825i
\(767\) −1.06351 + 0.168444i −0.0384012 + 0.00608215i
\(768\) −13.0427 + 9.26763i −0.470637 + 0.334417i
\(769\) 28.8462 39.7033i 1.04022 1.43174i 0.143228 0.989690i \(-0.454252\pi\)
0.896991 0.442049i \(-0.145748\pi\)
\(770\) 2.91458 14.0235i 0.105034 0.505371i
\(771\) −12.4406 17.1231i −0.448039 0.616673i
\(772\) −0.872229 4.44618i −0.0313922 0.160022i
\(773\) −14.8891 7.58635i −0.535522 0.272862i 0.165245 0.986253i \(-0.447159\pi\)
−0.700767 + 0.7133