Properties

Label 588.2.ba.a.187.23
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.23
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.a.283.23

$q$-expansion

\(f(q)\) \(=\) \(q+(1.22736 - 0.702558i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.01282 - 1.72458i) q^{4} +(-0.893501 + 0.350673i) q^{5} +(1.31836 - 0.511783i) q^{6} +(-0.780517 - 2.52800i) q^{7} +(0.0314785 - 2.82825i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(1.22736 - 0.702558i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.01282 - 1.72458i) q^{4} +(-0.893501 + 0.350673i) q^{5} +(1.31836 - 0.511783i) q^{6} +(-0.780517 - 2.52800i) q^{7} +(0.0314785 - 2.82825i) q^{8} +(0.955573 + 0.294755i) q^{9} +(-0.850279 + 1.05814i) q^{10} +(0.222157 + 0.720216i) q^{11} +(1.25855 - 1.55437i) q^{12} +(2.77272 + 0.632856i) q^{13} +(-2.73404 - 2.55441i) q^{14} +(-0.935787 + 0.213587i) q^{15} +(-1.94838 - 3.49340i) q^{16} +(1.85255 - 2.71719i) q^{17} +(1.37991 - 0.309575i) q^{18} +(3.12215 - 5.40772i) q^{19} +(-0.300194 + 1.89609i) q^{20} +(-0.395020 - 2.61610i) q^{21} +(0.778660 + 0.727885i) q^{22} +(1.49732 + 2.19616i) q^{23} +(0.452656 - 2.79197i) q^{24} +(-2.98989 + 2.77421i) q^{25} +(3.84775 - 1.17126i) q^{26} +(0.900969 + 0.433884i) q^{27} +(-5.15028 - 1.21435i) q^{28} +(-8.36563 + 4.02867i) q^{29} +(-0.998489 + 0.919593i) q^{30} +(0.789629 + 1.36768i) q^{31} +(-4.84567 - 2.91881i) q^{32} +(0.112333 + 0.745282i) q^{33} +(0.364760 - 4.63650i) q^{34} +(1.58390 + 1.98507i) q^{35} +(1.47616 - 1.34943i) q^{36} +(-0.569441 + 7.59866i) q^{37} +(0.0327608 - 8.83072i) q^{38} +(2.64743 + 1.03904i) q^{39} +(0.963667 + 2.53809i) q^{40} +(0.879716 + 0.701550i) q^{41} +(-2.32279 - 2.93337i) q^{42} +(6.53979 - 5.21531i) q^{43} +(1.46708 + 0.346323i) q^{44} +(-0.957168 + 0.0717298i) q^{45} +(3.38067 + 1.64352i) q^{46} +(5.26967 + 4.88954i) q^{47} +(-1.40595 - 3.74477i) q^{48} +(-5.78159 + 3.94630i) q^{49} +(-1.72062 + 5.50552i) q^{50} +(2.23684 - 2.41074i) q^{51} +(3.89969 - 4.14082i) q^{52} +(0.839971 + 11.2086i) q^{53} +(1.41064 - 0.100452i) q^{54} +(-0.451058 - 0.565609i) q^{55} +(-7.17440 + 2.12792i) q^{56} +(3.89326 - 4.88199i) q^{57} +(-7.43726 + 10.8220i) q^{58} +(-1.11325 + 2.83653i) q^{59} +(-0.579438 + 1.83017i) q^{60} +(7.76146 + 0.581641i) q^{61} +(1.93003 + 1.12387i) q^{62} +(-0.000699065 - 2.64575i) q^{63} +(-7.99802 - 0.178058i) q^{64} +(-2.69936 + 0.406863i) q^{65} +(0.661478 + 0.835809i) q^{66} +(-6.05450 + 3.49557i) q^{67} +(-2.80972 - 5.94692i) q^{68} +(1.15327 + 2.39479i) q^{69} +(3.33863 + 1.32361i) q^{70} +(0.309099 - 0.641851i) q^{71} +(0.863722 - 2.69332i) q^{72} +(-8.73159 - 9.41041i) q^{73} +(4.63960 + 9.72636i) q^{74} +(-3.36997 + 2.29760i) q^{75} +(-6.16388 - 10.8615i) q^{76} +(1.64731 - 1.12375i) q^{77} +(3.97934 - 0.584699i) q^{78} +(-9.99852 - 5.77265i) q^{79} +(2.96592 + 2.43811i) q^{80} +(0.826239 + 0.563320i) q^{81} +(1.57261 + 0.243003i) q^{82} +(2.16765 + 9.49710i) q^{83} +(-4.91176 - 1.96840i) q^{84} +(-0.702410 + 3.07746i) q^{85} +(4.36262 - 10.9956i) q^{86} +(-8.87263 + 2.73684i) q^{87} +(2.04394 - 0.605645i) q^{88} +(-0.979893 + 3.17673i) q^{89} +(-1.12440 + 0.760505i) q^{90} +(-0.564296 - 7.50341i) q^{91} +(5.30397 - 0.357924i) q^{92} +(0.576968 + 1.47009i) q^{93} +(9.90298 + 2.29897i) q^{94} +(-0.893301 + 5.92666i) q^{95} +(-4.35653 - 3.60842i) q^{96} +5.36406i q^{97} +(-4.32358 + 8.90543i) q^{98} +0.753701i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.22736 0.702558i 0.867874 0.496784i
\(3\) 0.988831 + 0.149042i 0.570902 + 0.0860496i
\(4\) 1.01282 1.72458i 0.506412 0.862292i
\(5\) −0.893501 + 0.350673i −0.399586 + 0.156826i −0.556620 0.830767i \(-0.687902\pi\)
0.157034 + 0.987593i \(0.449807\pi\)
\(6\) 1.31836 0.511783i 0.538219 0.208934i
\(7\) −0.780517 2.52800i −0.295008 0.955495i
\(8\) 0.0314785 2.82825i 0.0111293 0.999938i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) −0.850279 + 1.05814i −0.268882 + 0.334613i
\(11\) 0.222157 + 0.720216i 0.0669829 + 0.217153i 0.982876 0.184270i \(-0.0589920\pi\)
−0.915893 + 0.401423i \(0.868516\pi\)
\(12\) 1.25855 1.55437i 0.363311 0.448707i
\(13\) 2.77272 + 0.632856i 0.769015 + 0.175523i 0.588991 0.808139i \(-0.299525\pi\)
0.180024 + 0.983662i \(0.442382\pi\)
\(14\) −2.73404 2.55441i −0.730704 0.682695i
\(15\) −0.935787 + 0.213587i −0.241619 + 0.0551480i
\(16\) −1.94838 3.49340i −0.487094 0.873349i
\(17\) 1.85255 2.71719i 0.449310 0.659017i −0.533035 0.846093i \(-0.678949\pi\)
0.982345 + 0.187076i \(0.0599012\pi\)
\(18\) 1.37991 0.309575i 0.325249 0.0729675i
\(19\) 3.12215 5.40772i 0.716271 1.24062i −0.246197 0.969220i \(-0.579181\pi\)
0.962467 0.271397i \(-0.0874857\pi\)
\(20\) −0.300194 + 1.89609i −0.0671253 + 0.423978i
\(21\) −0.395020 2.61610i −0.0862004 0.570879i
\(22\) 0.778660 + 0.727885i 0.166011 + 0.155186i
\(23\) 1.49732 + 2.19616i 0.312212 + 0.457931i 0.949986 0.312293i \(-0.101097\pi\)
−0.637774 + 0.770224i \(0.720145\pi\)
\(24\) 0.452656 2.79197i 0.0923980 0.569909i
\(25\) −2.98989 + 2.77421i −0.597977 + 0.554842i
\(26\) 3.84775 1.17126i 0.754605 0.229703i
\(27\) 0.900969 + 0.433884i 0.173392 + 0.0835010i
\(28\) −5.15028 1.21435i −0.973311 0.229491i
\(29\) −8.36563 + 4.02867i −1.55346 + 0.748106i −0.996591 0.0824959i \(-0.973711\pi\)
−0.556867 + 0.830602i \(0.687997\pi\)
\(30\) −0.998489 + 0.919593i −0.182298 + 0.167894i
\(31\) 0.789629 + 1.36768i 0.141822 + 0.245642i 0.928183 0.372125i \(-0.121371\pi\)
−0.786361 + 0.617767i \(0.788037\pi\)
\(32\) −4.84567 2.91881i −0.856602 0.515977i
\(33\) 0.112333 + 0.745282i 0.0195547 + 0.129737i
\(34\) 0.364760 4.63650i 0.0625558 0.795153i
\(35\) 1.58390 + 1.98507i 0.267727 + 0.335537i
\(36\) 1.47616 1.34943i 0.246026 0.224905i
\(37\) −0.569441 + 7.59866i −0.0936156 + 1.24921i 0.730548 + 0.682861i \(0.239265\pi\)
−0.824164 + 0.566352i \(0.808354\pi\)
\(38\) 0.0327608 8.83072i 0.00531450 1.43253i
\(39\) 2.64743 + 1.03904i 0.423929 + 0.166380i
\(40\) 0.963667 + 2.53809i 0.152369 + 0.401306i
\(41\) 0.879716 + 0.701550i 0.137389 + 0.109564i 0.689773 0.724026i \(-0.257710\pi\)
−0.552384 + 0.833590i \(0.686282\pi\)
\(42\) −2.32279 2.93337i −0.358415 0.452628i
\(43\) 6.53979 5.21531i 0.997308 0.795327i 0.0184424 0.999830i \(-0.494129\pi\)
0.978866 + 0.204503i \(0.0655578\pi\)
\(44\) 1.46708 + 0.346323i 0.221170 + 0.0522102i
\(45\) −0.957168 + 0.0717298i −0.142686 + 0.0106929i
\(46\) 3.38067 + 1.64352i 0.498453 + 0.242325i
\(47\) 5.26967 + 4.88954i 0.768661 + 0.713213i 0.963525 0.267617i \(-0.0862362\pi\)
−0.194864 + 0.980830i \(0.562427\pi\)
\(48\) −1.40595 3.74477i −0.202932 0.540511i
\(49\) −5.78159 + 3.94630i −0.825941 + 0.563757i
\(50\) −1.72062 + 5.50552i −0.243333 + 0.778598i
\(51\) 2.23684 2.41074i 0.313220 0.337571i
\(52\) 3.89969 4.14082i 0.540790 0.574229i
\(53\) 0.839971 + 11.2086i 0.115379 + 1.53962i 0.691571 + 0.722309i \(0.256919\pi\)
−0.576192 + 0.817315i \(0.695462\pi\)
\(54\) 1.41064 0.100452i 0.191964 0.0136698i
\(55\) −0.451058 0.565609i −0.0608207 0.0762667i
\(56\) −7.17440 + 2.12792i −0.958719 + 0.284355i
\(57\) 3.89326 4.88199i 0.515675 0.646636i
\(58\) −7.43726 + 10.8220i −0.976560 + 1.42099i
\(59\) −1.11325 + 2.83653i −0.144933 + 0.369284i −0.984844 0.173440i \(-0.944512\pi\)
0.839911 + 0.542724i \(0.182607\pi\)
\(60\) −0.579438 + 1.83017i −0.0748051 + 0.236274i
\(61\) 7.76146 + 0.581641i 0.993753 + 0.0744715i 0.561669 0.827362i \(-0.310159\pi\)
0.432084 + 0.901833i \(0.357778\pi\)
\(62\) 1.93003 + 1.12387i 0.245114 + 0.142732i
\(63\) −0.000699065 2.64575i −8.80739e−5 0.333333i
\(64\) −7.99802 0.178058i −0.999752 0.0222573i
\(65\) −2.69936 + 0.406863i −0.334814 + 0.0504651i
\(66\) 0.661478 + 0.835809i 0.0814223 + 0.102881i
\(67\) −6.05450 + 3.49557i −0.739674 + 0.427051i −0.821951 0.569558i \(-0.807114\pi\)
0.0822765 + 0.996610i \(0.473781\pi\)
\(68\) −2.80972 5.94692i −0.340729 0.721170i
\(69\) 1.15327 + 2.39479i 0.138838 + 0.288299i
\(70\) 3.33863 + 1.32361i 0.399043 + 0.158202i
\(71\) 0.309099 0.641851i 0.0366833 0.0761736i −0.881822 0.471583i \(-0.843683\pi\)
0.918505 + 0.395409i \(0.129397\pi\)
\(72\) 0.863722 2.69332i 0.101791 0.317411i
\(73\) −8.73159 9.41041i −1.02195 1.10141i −0.994808 0.101774i \(-0.967548\pi\)
−0.0271474 0.999631i \(-0.508642\pi\)
\(74\) 4.63960 + 9.72636i 0.539342 + 1.13067i
\(75\) −3.36997 + 2.29760i −0.389130 + 0.265305i
\(76\) −6.16388 10.8615i −0.707046 1.24590i
\(77\) 1.64731 1.12375i 0.187728 0.128064i
\(78\) 3.97934 0.584699i 0.450571 0.0662041i
\(79\) −9.99852 5.77265i −1.12492 0.649474i −0.182269 0.983249i \(-0.558344\pi\)
−0.942653 + 0.333775i \(0.891677\pi\)
\(80\) 2.96592 + 2.43811i 0.331600 + 0.272589i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) 1.57261 + 0.243003i 0.173666 + 0.0268351i
\(83\) 2.16765 + 9.49710i 0.237931 + 1.04244i 0.942866 + 0.333171i \(0.108119\pi\)
−0.704936 + 0.709271i \(0.749024\pi\)
\(84\) −4.91176 1.96840i −0.535917 0.214770i
\(85\) −0.702410 + 3.07746i −0.0761870 + 0.333797i
\(86\) 4.36262 10.9956i 0.470433 1.18569i
\(87\) −8.87263 + 2.73684i −0.951246 + 0.293421i
\(88\) 2.04394 0.605645i 0.217885 0.0645620i
\(89\) −0.979893 + 3.17673i −0.103868 + 0.336733i −0.992557 0.121777i \(-0.961141\pi\)
0.888689 + 0.458510i \(0.151617\pi\)
\(90\) −1.12440 + 0.760505i −0.118522 + 0.0801642i
\(91\) −0.564296 7.50341i −0.0591543 0.786571i
\(92\) 5.30397 0.357924i 0.552978 0.0373162i
\(93\) 0.576968 + 1.47009i 0.0598288 + 0.152441i
\(94\) 9.90298 + 2.29897i 1.02141 + 0.237121i
\(95\) −0.893301 + 5.92666i −0.0916507 + 0.608063i
\(96\) −4.35653 3.60842i −0.444636 0.368283i
\(97\) 5.36406i 0.544638i 0.962207 + 0.272319i \(0.0877906\pi\)
−0.962207 + 0.272319i \(0.912209\pi\)
\(98\) −4.32358 + 8.90543i −0.436748 + 0.899584i
\(99\) 0.753701i 0.0757498i
\(100\) 1.75613 + 7.96609i 0.175613 + 0.796609i
\(101\) −0.797410 + 5.29047i −0.0793453 + 0.526421i 0.913483 + 0.406876i \(0.133382\pi\)
−0.992829 + 0.119546i \(0.961856\pi\)
\(102\) 1.05172 4.53035i 0.104136 0.448572i
\(103\) −0.517742 1.31918i −0.0510146 0.129983i 0.903095 0.429441i \(-0.141289\pi\)
−0.954109 + 0.299458i \(0.903194\pi\)
\(104\) 1.87716 7.82204i 0.184070 0.767014i
\(105\) 1.27035 + 2.19896i 0.123973 + 0.214597i
\(106\) 8.90566 + 13.1669i 0.864994 + 1.27888i
\(107\) 4.70083 15.2397i 0.454447 1.47328i −0.381448 0.924390i \(-0.624574\pi\)
0.835895 0.548890i \(-0.184949\pi\)
\(108\) 1.66079 1.11435i 0.159810 0.107228i
\(109\) 3.54898 1.09472i 0.339931 0.104855i −0.120090 0.992763i \(-0.538318\pi\)
0.460020 + 0.887908i \(0.347842\pi\)
\(110\) −0.950984 0.377311i −0.0906728 0.0359752i
\(111\) −1.69560 + 7.42892i −0.160940 + 0.705122i
\(112\) −7.31058 + 7.65216i −0.690784 + 0.723061i
\(113\) 0.303376 + 1.32918i 0.0285392 + 0.125038i 0.987191 0.159544i \(-0.0510023\pi\)
−0.958652 + 0.284582i \(0.908145\pi\)
\(114\) 1.34854 8.72720i 0.126303 0.817377i
\(115\) −2.10799 1.43720i −0.196571 0.134020i
\(116\) −1.52512 + 18.5076i −0.141604 + 1.71838i
\(117\) 2.46300 + 1.42201i 0.227705 + 0.131465i
\(118\) 0.626462 + 4.26357i 0.0576705 + 0.392493i
\(119\) −8.31502 2.56244i −0.762237 0.234898i
\(120\) 0.574621 + 2.65336i 0.0524555 + 0.242218i
\(121\) 8.61927 5.87652i 0.783570 0.534229i
\(122\) 9.93474 4.73900i 0.899449 0.429049i
\(123\) 0.765330 + 0.824829i 0.0690075 + 0.0743724i
\(124\) 3.15843 + 0.0234350i 0.283635 + 0.00210453i
\(125\) 3.78095 7.85122i 0.338178 0.702234i
\(126\) −1.85965 3.24680i −0.165671 0.289248i
\(127\) 1.90676 + 3.95942i 0.169197 + 0.351342i 0.968275 0.249885i \(-0.0803930\pi\)
−0.799078 + 0.601227i \(0.794679\pi\)
\(128\) −9.94154 + 5.40053i −0.878716 + 0.477344i
\(129\) 7.24405 4.18235i 0.637803 0.368236i
\(130\) −3.02724 + 2.39582i −0.265506 + 0.210128i
\(131\) 9.79876 1.47693i 0.856122 0.129040i 0.293708 0.955895i \(-0.405111\pi\)
0.562414 + 0.826856i \(0.309873\pi\)
\(132\) 1.39908 + 0.561112i 0.121774 + 0.0488385i
\(133\) −16.1076 3.67198i −1.39671 0.318401i
\(134\) −4.97521 + 8.54395i −0.429792 + 0.738085i
\(135\) −0.957168 0.0717298i −0.0823799 0.00617352i
\(136\) −7.62660 5.32502i −0.653975 0.456616i
\(137\) −4.49029 + 11.4411i −0.383631 + 0.977477i 0.600435 + 0.799674i \(0.294994\pi\)
−0.984066 + 0.177803i \(0.943101\pi\)
\(138\) 3.09796 + 2.12903i 0.263716 + 0.181235i
\(139\) 8.53037 10.6968i 0.723537 0.907287i −0.274995 0.961446i \(-0.588676\pi\)
0.998532 + 0.0541590i \(0.0172478\pi\)
\(140\) 5.02762 0.721038i 0.424911 0.0609389i
\(141\) 4.48207 + 5.62034i 0.377458 + 0.473318i
\(142\) −0.0715619 1.00494i −0.00600534 0.0843328i
\(143\) 0.160187 + 2.13755i 0.0133955 + 0.178751i
\(144\) −0.832119 3.91249i −0.0693432 0.326041i
\(145\) 6.06195 6.53323i 0.503418 0.542555i
\(146\) −17.3282 5.41551i −1.43409 0.448191i
\(147\) −6.30518 + 3.04052i −0.520042 + 0.250778i
\(148\) 12.5278 + 8.67816i 1.02978 + 0.713340i
\(149\) 12.4617 + 11.5628i 1.02091 + 0.947262i 0.998621 0.0524895i \(-0.0167156\pi\)
0.0222844 + 0.999752i \(0.492906\pi\)
\(150\) −2.52196 + 5.18759i −0.205917 + 0.423565i
\(151\) 1.28337 0.0961754i 0.104439 0.00782665i −0.0224079 0.999749i \(-0.507133\pi\)
0.126847 + 0.991922i \(0.459514\pi\)
\(152\) −15.1961 9.00046i −1.23257 0.730033i
\(153\) 2.57116 2.05043i 0.207866 0.165767i
\(154\) 1.23234 2.53658i 0.0993046 0.204404i
\(155\) −1.18514 0.945120i −0.0951930 0.0759139i
\(156\) 4.47329 3.51335i 0.358150 0.281293i
\(157\) −8.27411 3.24735i −0.660346 0.259167i 0.0114148 0.999935i \(-0.496366\pi\)
−0.671761 + 0.740768i \(0.734462\pi\)
\(158\) −16.3274 0.0605725i −1.29894 0.00481889i
\(159\) −0.839971 + 11.2086i −0.0666140 + 0.888902i
\(160\) 5.35316 + 0.908709i 0.423205 + 0.0718398i
\(161\) 4.38321 5.49935i 0.345446 0.433410i
\(162\) 1.40986 + 0.110915i 0.110769 + 0.00871434i
\(163\) −1.94466 12.9020i −0.152318 1.01056i −0.926145 0.377167i \(-0.876898\pi\)
0.773827 0.633397i \(-0.218340\pi\)
\(164\) 2.10088 0.806597i 0.164051 0.0629847i
\(165\) −0.361721 0.626518i −0.0281599 0.0487744i
\(166\) 9.33276 + 10.1335i 0.724363 + 0.786509i
\(167\) −12.6621 + 6.09777i −0.979826 + 0.471859i −0.854045 0.520199i \(-0.825858\pi\)
−0.125781 + 0.992058i \(0.540144\pi\)
\(168\) −7.41141 + 1.03487i −0.571803 + 0.0798416i
\(169\) −4.42510 2.13102i −0.340393 0.163924i
\(170\) 1.29998 + 4.27063i 0.0997042 + 0.327542i
\(171\) 4.57740 4.24720i 0.350042 0.324792i
\(172\) −2.37058 16.5606i −0.180755 1.26273i
\(173\) −4.97449 7.29624i −0.378204 0.554723i 0.589192 0.807993i \(-0.299446\pi\)
−0.967396 + 0.253270i \(0.918494\pi\)
\(174\) −8.96712 + 9.59264i −0.679796 + 0.727216i
\(175\) 9.34686 + 5.39312i 0.706556 + 0.407682i
\(176\) 2.08315 2.17933i 0.157024 0.164274i
\(177\) −1.52358 + 2.63892i −0.114520 + 0.198354i
\(178\) 1.02916 + 4.58743i 0.0771388 + 0.343842i
\(179\) −10.0989 + 14.8123i −0.754826 + 1.10713i 0.235969 + 0.971760i \(0.424173\pi\)
−0.990796 + 0.135366i \(0.956779\pi\)
\(180\) −0.845739 + 1.72337i −0.0630376 + 0.128452i
\(181\) 18.5133 4.22554i 1.37608 0.314082i 0.530390 0.847754i \(-0.322045\pi\)
0.845692 + 0.533672i \(0.179188\pi\)
\(182\) −5.96418 8.81293i −0.442094 0.653258i
\(183\) 7.58808 + 1.73193i 0.560927 + 0.128028i
\(184\) 6.25842 4.16565i 0.461377 0.307096i
\(185\) −2.15585 6.98910i −0.158501 0.513849i
\(186\) 1.74097 + 1.39898i 0.127654 + 0.102578i
\(187\) 2.36852 + 0.730593i 0.173204 + 0.0534262i
\(188\) 13.7697 4.13575i 1.00426 0.301630i
\(189\) 0.393638 2.61630i 0.0286329 0.190308i
\(190\) 3.06743 + 7.90174i 0.222534 + 0.573253i
\(191\) −15.0221 + 5.89576i −1.08696 + 0.426602i −0.840091 0.542446i \(-0.817498\pi\)
−0.246874 + 0.969048i \(0.579403\pi\)
\(192\) −7.88215 1.36811i −0.568845 0.0987350i
\(193\) −1.04561 0.157600i −0.0752647 0.0113443i 0.111302 0.993787i \(-0.464498\pi\)
−0.186567 + 0.982442i \(0.559736\pi\)
\(194\) 3.76857 + 6.58363i 0.270567 + 0.472677i
\(195\) −2.72985 −0.195488
\(196\) 0.949989 + 13.9677i 0.0678564 + 0.997695i
\(197\) −13.7394 −0.978891 −0.489445 0.872034i \(-0.662801\pi\)
−0.489445 + 0.872034i \(0.662801\pi\)
\(198\) 0.529519 + 0.925062i 0.0376312 + 0.0657413i
\(199\) −23.3306 3.51653i −1.65387 0.249280i −0.745211 0.666829i \(-0.767651\pi\)
−0.908655 + 0.417548i \(0.862889\pi\)
\(200\) 7.75205 + 8.54348i 0.548152 + 0.604115i
\(201\) −6.50786 + 2.55415i −0.459029 + 0.180156i
\(202\) 2.73815 + 7.05354i 0.192656 + 0.496285i
\(203\) 16.7140 + 18.0039i 1.17309 + 1.26362i
\(204\) −1.89200 6.29927i −0.132466 0.441037i
\(205\) −1.03204 0.318343i −0.0720810 0.0222340i
\(206\) −1.56226 1.25537i −0.108848 0.0874657i
\(207\) 0.783465 + 2.53993i 0.0544546 + 0.176537i
\(208\) −3.19149 10.9193i −0.221290 0.757115i
\(209\) 4.58834 + 1.04726i 0.317382 + 0.0724403i
\(210\) 3.10407 + 1.80643i 0.214201 + 0.124655i
\(211\) 12.5258 2.85893i 0.862311 0.196817i 0.231577 0.972816i \(-0.425611\pi\)
0.630733 + 0.776000i \(0.282754\pi\)
\(212\) 20.1810 + 9.90376i 1.38603 + 0.680193i
\(213\) 0.401309 0.588613i 0.0274973 0.0403311i
\(214\) −4.93718 22.0072i −0.337499 1.50438i
\(215\) −4.01444 + 6.95321i −0.273782 + 0.474205i
\(216\) 1.25549 2.53451i 0.0854255 0.172451i
\(217\) 2.84117 3.06368i 0.192871 0.207976i
\(218\) 3.58677 3.83697i 0.242927 0.259873i
\(219\) −7.23151 10.6067i −0.488660 0.716733i
\(220\) −1.43228 + 0.205025i −0.0965645 + 0.0138228i
\(221\) 6.85621 6.36163i 0.461199 0.427930i
\(222\) 3.13814 + 10.3092i 0.210618 + 0.691910i
\(223\) 16.5861 + 7.98743i 1.11069 + 0.534878i 0.897003 0.442025i \(-0.145740\pi\)
0.213683 + 0.976903i \(0.431454\pi\)
\(224\) −3.59662 + 14.5281i −0.240309 + 0.970696i
\(225\) −3.67477 + 1.76967i −0.244984 + 0.117978i
\(226\) 1.30618 + 1.41824i 0.0868855 + 0.0943398i
\(227\) −11.5336 19.9768i −0.765512 1.32590i −0.939976 0.341241i \(-0.889153\pi\)
0.174464 0.984664i \(-0.444181\pi\)
\(228\) −4.47622 11.6588i −0.296445 0.772126i
\(229\) −0.409416 2.71629i −0.0270549 0.179498i 0.971222 0.238176i \(-0.0765495\pi\)
−0.998277 + 0.0586782i \(0.981311\pi\)
\(230\) −3.59698 0.282979i −0.237178 0.0186591i
\(231\) 1.79640 0.865684i 0.118194 0.0569578i
\(232\) 11.1308 + 23.7869i 0.730771 + 1.56169i
\(233\) 1.01426 13.5343i 0.0664461 0.886662i −0.860014 0.510270i \(-0.829545\pi\)
0.926460 0.376392i \(-0.122835\pi\)
\(234\) 4.02204 + 0.0149212i 0.262929 + 0.000975431i
\(235\) −6.42309 2.52088i −0.418996 0.164444i
\(236\) 3.76430 + 4.79280i 0.245035 + 0.311985i
\(237\) −9.02648 7.19838i −0.586333 0.467585i
\(238\) −12.0058 + 2.69675i −0.778219 + 0.174805i
\(239\) 19.4015 15.4722i 1.25498 1.00081i 0.255558 0.966794i \(-0.417741\pi\)
0.999421 0.0340192i \(-0.0108307\pi\)
\(240\) 2.56941 + 2.85293i 0.165855 + 0.184156i
\(241\) 23.7900 1.78281i 1.53245 0.114841i 0.718397 0.695633i \(-0.244876\pi\)
0.814052 + 0.580792i \(0.197257\pi\)
\(242\) 6.45035 13.2681i 0.414644 0.852908i
\(243\) 0.733052 + 0.680173i 0.0470253 + 0.0436331i
\(244\) 8.86408 12.7962i 0.567465 0.819192i
\(245\) 3.78199 5.55347i 0.241623 0.354798i
\(246\) 1.51883 + 0.474674i 0.0968368 + 0.0302641i
\(247\) 12.0792 13.0183i 0.768579 0.828332i
\(248\) 3.89299 2.19022i 0.247205 0.139079i
\(249\) 0.727971 + 9.71410i 0.0461333 + 0.615606i
\(250\) −0.875356 12.2926i −0.0553624 0.777453i
\(251\) 4.83099 + 6.05787i 0.304929 + 0.382369i 0.910560 0.413376i \(-0.135651\pi\)
−0.605631 + 0.795746i \(0.707079\pi\)
\(252\) −4.56353 2.67847i −0.287475 0.168728i
\(253\) −1.24907 + 1.56628i −0.0785283 + 0.0984713i
\(254\) 5.12200 + 3.52002i 0.321383 + 0.220866i
\(255\) −1.15324 + 2.93840i −0.0722184 + 0.184010i
\(256\) −8.40766 + 13.6129i −0.525479 + 0.850807i
\(257\) 0.900825 + 0.0675075i 0.0561919 + 0.00421100i 0.102796 0.994702i \(-0.467221\pi\)
−0.0466045 + 0.998913i \(0.514840\pi\)
\(258\) 5.95270 10.2226i 0.370599 0.636432i
\(259\) 19.6539 4.49134i 1.22123 0.279078i
\(260\) −2.03230 + 5.06735i −0.126038 + 0.314264i
\(261\) −9.18144 + 1.38388i −0.568317 + 0.0856600i
\(262\) 10.9890 8.69692i 0.678901 0.537297i
\(263\) −21.9134 + 12.6517i −1.35124 + 0.780137i −0.988423 0.151725i \(-0.951517\pi\)
−0.362814 + 0.931862i \(0.618184\pi\)
\(264\) 2.11138 0.294246i 0.129947 0.0181096i
\(265\) −4.68108 9.72037i −0.287557 0.597117i
\(266\) −22.3496 + 6.80970i −1.37034 + 0.417530i
\(267\) −1.44242 + 2.99521i −0.0882744 + 0.183304i
\(268\) −0.103743 + 13.9819i −0.00633712 + 0.854079i
\(269\) −16.3831 17.6568i −0.998896 1.07655i −0.997065 0.0765555i \(-0.975608\pi\)
−0.00183065 0.999998i \(-0.500583\pi\)
\(270\) −1.22518 + 0.584428i −0.0745623 + 0.0355672i
\(271\) −13.3984 + 9.13487i −0.813895 + 0.554904i −0.897202 0.441620i \(-0.854404\pi\)
0.0833076 + 0.996524i \(0.473452\pi\)
\(272\) −13.1017 1.17758i −0.794408 0.0714015i
\(273\) 0.560331 7.50370i 0.0339128 0.454145i
\(274\) 2.52682 + 17.1970i 0.152651 + 1.03891i
\(275\) −2.66225 1.53705i −0.160540 0.0926878i
\(276\) 5.29808 + 0.436590i 0.318907 + 0.0262796i
\(277\) −20.2516 13.8073i −1.21680 0.829599i −0.227255 0.973835i \(-0.572975\pi\)
−0.989543 + 0.144237i \(0.953927\pi\)
\(278\) 2.95475 19.1218i 0.177214 1.14685i
\(279\) 0.351418 + 1.53966i 0.0210389 + 0.0921772i
\(280\) 5.66413 4.41717i 0.338496 0.263976i
\(281\) −2.99628 + 13.1276i −0.178743 + 0.783125i 0.803468 + 0.595347i \(0.202986\pi\)
−0.982212 + 0.187777i \(0.939872\pi\)
\(282\) 9.44972 + 3.74926i 0.562723 + 0.223265i
\(283\) −21.1741 + 6.53134i −1.25867 + 0.388248i −0.851137 0.524944i \(-0.824086\pi\)
−0.407531 + 0.913191i \(0.633610\pi\)
\(284\) −0.793862 1.18315i −0.0471070 0.0702069i
\(285\) −1.76665 + 5.72733i −0.104647 + 0.339258i
\(286\) 1.69836 + 2.51101i 0.100426 + 0.148479i
\(287\) 1.08689 2.77150i 0.0641569 0.163596i
\(288\) −3.77006 4.21742i −0.222153 0.248514i
\(289\) 2.25960 + 5.75736i 0.132918 + 0.338668i
\(290\) 2.85022 12.2775i 0.167371 0.720959i
\(291\) −0.799472 + 5.30415i −0.0468659 + 0.310935i
\(292\) −25.0726 + 5.52726i −1.46726 + 0.323459i
\(293\) 21.9887i 1.28459i −0.766457 0.642296i \(-0.777982\pi\)
0.766457 0.642296i \(-0.222018\pi\)
\(294\) −5.60258 + 8.16156i −0.326749 + 0.475992i
\(295\) 2.92483i 0.170290i
\(296\) 21.4730 + 1.84972i 1.24809 + 0.107513i
\(297\) −0.112333 + 0.745282i −0.00651824 + 0.0432457i
\(298\) 23.4186 + 5.43662i 1.35660 + 0.314935i
\(299\) 2.76179 + 7.03693i 0.159718 + 0.406956i
\(300\) 0.549229 + 8.13886i 0.0317097 + 0.469897i
\(301\) −18.2887 12.4620i −1.05414 0.718296i
\(302\) 1.50759 1.01969i 0.0867521 0.0586763i
\(303\) −1.57701 + 5.11253i −0.0905967 + 0.293707i
\(304\) −24.9745 0.370633i −1.43238 0.0212573i
\(305\) −7.13884 + 2.20204i −0.408769 + 0.126088i
\(306\) 1.71519 4.32300i 0.0980507 0.247129i
\(307\) 4.82018 21.1186i 0.275102 1.20530i −0.628801 0.777566i \(-0.716454\pi\)
0.903904 0.427736i \(-0.140689\pi\)
\(308\) −0.269574 3.97909i −0.0153604 0.226730i
\(309\) −0.315345 1.38162i −0.0179393 0.0785973i
\(310\) −2.11860 0.327370i −0.120328 0.0185934i
\(311\) −13.8842 9.46610i −0.787302 0.536773i 0.101625 0.994823i \(-0.467596\pi\)
−0.888927 + 0.458049i \(0.848548\pi\)
\(312\) 3.02201 7.45490i 0.171087 0.422051i
\(313\) 15.2095 + 8.78122i 0.859692 + 0.496344i 0.863909 0.503647i \(-0.168009\pi\)
−0.00421682 + 0.999991i \(0.501342\pi\)
\(314\) −12.4368 + 1.82738i −0.701847 + 0.103125i
\(315\) 0.928419 + 2.36374i 0.0523105 + 0.133181i
\(316\) −20.0822 + 11.3966i −1.12971 + 0.641109i
\(317\) 22.9758 15.6646i 1.29045 0.879812i 0.293354 0.956004i \(-0.405229\pi\)
0.997093 + 0.0761918i \(0.0242761\pi\)
\(318\) 6.84377 + 14.3471i 0.383780 + 0.804548i
\(319\) −4.76000 5.13006i −0.266509 0.287228i
\(320\) 7.20868 2.64560i 0.402977 0.147893i
\(321\) 6.91969 14.3689i 0.386220 0.801993i
\(322\) 1.51616 9.82915i 0.0844923 0.547757i
\(323\) −8.90989 18.5016i −0.495760 1.02946i
\(324\) 1.80833 0.854374i 0.100463 0.0474652i
\(325\) −10.0458 + 5.79995i −0.557241 + 0.321723i
\(326\) −11.4512 14.4692i −0.634224 0.801373i
\(327\) 3.67250 0.553540i 0.203090 0.0306108i
\(328\) 2.01185 2.46598i 0.111086 0.136161i
\(329\) 8.24770 17.1381i 0.454711 0.944855i
\(330\) −0.884127 0.514834i −0.0486696 0.0283407i
\(331\) 8.01624 + 0.600734i 0.440612 + 0.0330193i 0.293190 0.956054i \(-0.405283\pi\)
0.147423 + 0.989074i \(0.452902\pi\)
\(332\) 18.5740 + 5.88059i 1.01938 + 0.322740i
\(333\) −2.78389 + 7.09323i −0.152556 + 0.388707i
\(334\) −11.2570 + 16.3800i −0.615954 + 0.896276i
\(335\) 4.18390 5.24644i 0.228591 0.286644i
\(336\) −8.36942 + 6.47710i −0.456589 + 0.353355i
\(337\) −16.7539 21.0087i −0.912641 1.14442i −0.989086 0.147341i \(-0.952928\pi\)
0.0764452 0.997074i \(-0.475643\pi\)
\(338\) −6.92836 + 0.493368i −0.376853 + 0.0268357i
\(339\) 0.101884 + 1.35955i 0.00553357 + 0.0738404i
\(340\) 4.59592 + 4.32829i 0.249249 + 0.234734i
\(341\) −0.809602 + 0.872543i −0.0438424 + 0.0472508i
\(342\) 2.63420 8.42874i 0.142441 0.455774i
\(343\) 14.4889 + 11.5357i 0.782325 + 0.622870i
\(344\) −14.5443 18.6603i −0.784178 1.00610i
\(345\) −1.87024 1.73533i −0.100690 0.0934269i
\(346\) −11.2315 5.46024i −0.603811 0.293544i
\(347\) 7.94718 0.595559i 0.426627 0.0319713i 0.140313 0.990107i \(-0.455189\pi\)
0.286314 + 0.958136i \(0.407570\pi\)
\(348\) −4.26650 + 18.0735i −0.228708 + 0.968843i
\(349\) −16.2843 + 12.9863i −0.871677 + 0.695139i −0.953463 0.301511i \(-0.902509\pi\)
0.0817857 + 0.996650i \(0.473938\pi\)
\(350\) 15.2609 + 0.0525837i 0.815732 + 0.00281072i
\(351\) 2.22355 + 1.77322i 0.118684 + 0.0946477i
\(352\) 1.02567 4.13837i 0.0546684 0.220576i
\(353\) 13.5702 + 5.32592i 0.722270 + 0.283470i 0.697862 0.716232i \(-0.254135\pi\)
0.0244075 + 0.999702i \(0.492230\pi\)
\(354\) −0.0159870 + 4.30931i −0.000849698 + 0.229037i
\(355\) −0.0511004 + 0.681887i −0.00271213 + 0.0361908i
\(356\) 4.48608 + 4.90738i 0.237762 + 0.260090i
\(357\) −7.84024 3.77311i −0.414949 0.199694i
\(358\) −1.98843 + 25.2751i −0.105092 + 1.33583i
\(359\) −2.11890 14.0580i −0.111831 0.741951i −0.972520 0.232820i \(-0.925205\pi\)
0.860689 0.509131i \(-0.170033\pi\)
\(360\) 0.172740 + 2.70937i 0.00910419 + 0.142796i
\(361\) −9.99565 17.3130i −0.526087 0.911209i
\(362\) 19.7538 18.1929i 1.03824 0.956198i
\(363\) 9.39885 4.52625i 0.493312 0.237566i
\(364\) −13.5118 6.62645i −0.708210 0.347320i
\(365\) 11.1017 + 5.34628i 0.581088 + 0.279837i
\(366\) 10.5301 3.20537i 0.550417 0.167547i
\(367\) −7.30386 + 6.77699i −0.381258 + 0.353756i −0.847401 0.530954i \(-0.821834\pi\)
0.466143 + 0.884710i \(0.345643\pi\)
\(368\) 4.75472 9.50966i 0.247857 0.495725i
\(369\) 0.633847 + 0.929683i 0.0329968 + 0.0483974i
\(370\) −7.55626 7.06353i −0.392831 0.367216i
\(371\) 27.6798 10.8720i 1.43706 0.564445i
\(372\) 3.11966 + 0.493913i 0.161747 + 0.0256082i
\(373\) −7.97647 + 13.8157i −0.413006 + 0.715347i −0.995217 0.0976904i \(-0.968855\pi\)
0.582211 + 0.813038i \(0.302188\pi\)
\(374\) 3.42032 0.767326i 0.176860 0.0396775i
\(375\) 4.90888 7.20001i 0.253493 0.371807i
\(376\) 13.9947 14.7501i 0.721724 0.760676i
\(377\) −25.7451 + 5.87616i −1.32594 + 0.302638i
\(378\) −1.35497 3.48770i −0.0696922 0.179388i
\(379\) −3.15796 0.720784i −0.162214 0.0370242i 0.140643 0.990060i \(-0.455083\pi\)
−0.302856 + 0.953036i \(0.597940\pi\)
\(380\) 9.31627 + 7.54324i 0.477915 + 0.386960i
\(381\) 1.29534 + 4.19938i 0.0663622 + 0.215141i
\(382\) −14.2955 + 17.7902i −0.731420 + 0.910223i
\(383\) 10.1187 + 3.12121i 0.517042 + 0.159486i 0.542284 0.840195i \(-0.317560\pi\)
−0.0252424 + 0.999681i \(0.508036\pi\)
\(384\) −10.6354 + 3.85850i −0.542736 + 0.196903i
\(385\) −1.07780 + 1.58174i −0.0549299 + 0.0806131i
\(386\) −1.39406 + 0.541170i −0.0709559 + 0.0275448i
\(387\) 7.78648 3.05597i 0.395809 0.155344i
\(388\) 9.25077 + 5.43285i 0.469637 + 0.275811i
\(389\) 20.3864 + 3.07276i 1.03363 + 0.155795i 0.643882 0.765125i \(-0.277323\pi\)
0.389752 + 0.920920i \(0.372561\pi\)
\(390\) −3.35051 + 1.91788i −0.169659 + 0.0971155i
\(391\) 8.74125 0.442064
\(392\) 10.9791 + 16.4760i 0.554530 + 0.832164i
\(393\) 9.90944 0.499865
\(394\) −16.8632 + 9.65272i −0.849554 + 0.486297i
\(395\) 10.9580 + 1.65165i 0.551357 + 0.0831037i
\(396\) 1.29982 + 0.763366i 0.0653184 + 0.0383606i
\(397\) 31.5168 12.3694i 1.58178 0.620803i 0.598212 0.801338i \(-0.295878\pi\)
0.983569 + 0.180534i \(0.0577827\pi\)
\(398\) −31.1057 + 12.0751i −1.55919 + 0.605270i
\(399\) −15.3804 6.03169i −0.769985 0.301962i
\(400\) 15.5168 + 5.03966i 0.775842 + 0.251983i
\(401\) −4.70901 1.45254i −0.235157 0.0725362i 0.174937 0.984580i \(-0.444028\pi\)
−0.410094 + 0.912043i \(0.634504\pi\)
\(402\) −6.19305 + 7.70701i −0.308881 + 0.384391i
\(403\) 1.32388 + 4.29192i 0.0659472 + 0.213796i
\(404\) 8.31622 + 6.73351i 0.413747 + 0.335005i
\(405\) −0.935787 0.213587i −0.0464996 0.0106132i
\(406\) 33.1629 + 10.3547i 1.64585 + 0.513893i
\(407\) −5.59918 + 1.27798i −0.277541 + 0.0633470i
\(408\) −6.74776 6.40223i −0.334064 0.316957i
\(409\) −20.4856 + 30.0468i −1.01295 + 1.48572i −0.144767 + 0.989466i \(0.546243\pi\)
−0.868178 + 0.496252i \(0.834709\pi\)
\(410\) −1.49034 + 0.334349i −0.0736027 + 0.0165123i
\(411\) −6.14534 + 10.6440i −0.303127 + 0.525032i
\(412\) −2.79942 0.443212i −0.137918 0.0218355i
\(413\) 8.03966 + 0.600353i 0.395606 + 0.0295414i
\(414\) 2.74604 + 2.56698i 0.134961 + 0.126160i
\(415\) −5.26718 7.72554i −0.258556 0.379232i
\(416\) −11.5885 11.1597i −0.568175 0.547148i
\(417\) 10.0294 9.30589i 0.491140 0.455711i
\(418\) 6.36730 1.93821i 0.311435 0.0948010i
\(419\) −11.3083 5.44578i −0.552445 0.266044i 0.136767 0.990603i \(-0.456329\pi\)
−0.689212 + 0.724560i \(0.742043\pi\)
\(420\) 5.07893 + 0.0363428i 0.247826 + 0.00177335i
\(421\) 9.17136 4.41670i 0.446985 0.215257i −0.196830 0.980438i \(-0.563065\pi\)
0.643815 + 0.765181i \(0.277351\pi\)
\(422\) 13.3651 12.3090i 0.650602 0.599194i
\(423\) 3.59434 + 6.22558i 0.174763 + 0.302698i
\(424\) 31.7273 2.02282i 1.54081 0.0982367i
\(425\) 1.99915 + 13.2635i 0.0969729 + 0.643373i
\(426\) 0.0790162 1.00438i 0.00382835 0.0486625i
\(427\) −4.58756 20.0750i −0.222008 0.971496i
\(428\) −21.5211 23.5421i −1.04026 1.13795i
\(429\) −0.160187 + 2.13755i −0.00773392 + 0.103202i
\(430\) −0.0421236 + 11.3545i −0.00203138 + 0.547561i
\(431\) −7.77884 3.05297i −0.374693 0.147056i 0.170519 0.985354i \(-0.445456\pi\)
−0.545212 + 0.838298i \(0.683551\pi\)
\(432\) −0.239698 3.99281i −0.0115325 0.192104i
\(433\) 19.3662 + 15.4440i 0.930681 + 0.742194i 0.966366 0.257170i \(-0.0827899\pi\)
−0.0356850 + 0.999363i \(0.511361\pi\)
\(434\) 1.33473 5.75633i 0.0640690 0.276313i
\(435\) 6.96797 5.55677i 0.334089 0.266427i
\(436\) 1.70656 7.22926i 0.0817295 0.346219i
\(437\) 16.5511 1.24033i 0.791745 0.0593331i
\(438\) −16.3275 7.93765i −0.780157 0.379276i
\(439\) −19.2973 17.9053i −0.921009 0.854572i 0.0687039 0.997637i \(-0.478114\pi\)
−0.989713 + 0.143065i \(0.954304\pi\)
\(440\) −1.61388 + 1.25790i −0.0769389 + 0.0599681i
\(441\) −6.68792 + 2.06682i −0.318472 + 0.0984200i
\(442\) 3.94562 12.6249i 0.187674 0.600505i
\(443\) −14.7129 + 15.8567i −0.699031 + 0.753377i −0.978381 0.206813i \(-0.933691\pi\)
0.279349 + 0.960190i \(0.409881\pi\)
\(444\) 11.0945 + 10.4484i 0.526519 + 0.495859i
\(445\) −0.238461 3.18204i −0.0113041 0.150843i
\(446\) 25.9687 1.84923i 1.22965 0.0875637i
\(447\) 10.5992 + 13.2910i 0.501325 + 0.628642i
\(448\) 5.79246 + 20.3580i 0.273668 + 0.961824i
\(449\) 2.00269 2.51130i 0.0945130 0.118516i −0.732326 0.680954i \(-0.761565\pi\)
0.826839 + 0.562439i \(0.190137\pi\)
\(450\) −3.26696 + 4.75377i −0.154006 + 0.224095i
\(451\) −0.309832 + 0.789440i −0.0145894 + 0.0371733i
\(452\) 2.59954 + 0.823024i 0.122272 + 0.0387118i
\(453\) 1.28337 + 0.0961754i 0.0602981 + 0.00451872i
\(454\) −28.1907 16.4157i −1.32306 0.770425i
\(455\) 3.13544 + 6.50642i 0.146992 + 0.305026i
\(456\) −13.6849 11.1648i −0.640856 0.522839i
\(457\) −14.5989 + 2.20042i −0.682906 + 0.102931i −0.481327 0.876541i \(-0.659845\pi\)
−0.201578 + 0.979472i \(0.564607\pi\)
\(458\) −2.41086 3.04623i −0.112652 0.142341i
\(459\) 2.84804 1.64432i 0.132935 0.0767501i
\(460\) −4.61359 + 2.17977i −0.215110 + 0.101632i
\(461\) −2.78635 5.78592i −0.129773 0.269477i 0.825950 0.563743i \(-0.190639\pi\)
−0.955724 + 0.294266i \(0.904925\pi\)
\(462\) 1.59663 2.32458i 0.0742820 0.108149i
\(463\) −7.19019 + 14.9306i −0.334157 + 0.693883i −0.998569 0.0534831i \(-0.982968\pi\)
0.664412 + 0.747366i \(0.268682\pi\)
\(464\) 30.3732 + 21.3751i 1.41004 + 0.992314i
\(465\) −1.03104 1.11120i −0.0478135 0.0515307i
\(466\) −8.26379 17.3240i −0.382812 0.802521i
\(467\) 16.9929 11.5856i 0.786339 0.536117i −0.102284 0.994755i \(-0.532615\pi\)
0.888623 + 0.458638i \(0.151663\pi\)
\(468\) 4.94697 2.80740i 0.228674 0.129772i
\(469\) 13.5624 + 12.5774i 0.626255 + 0.580772i
\(470\) −9.65451 + 1.41857i −0.445329 + 0.0654339i
\(471\) −7.69770 4.44427i −0.354692 0.204781i
\(472\) 7.98737 + 3.23785i 0.367648 + 0.149034i
\(473\) 5.20901 + 3.55144i 0.239510 + 0.163295i
\(474\) −16.1360 2.49337i −0.741152 0.114524i
\(475\) 5.66728 + 24.8300i 0.260033 + 1.13928i
\(476\) −12.8408 + 11.7447i −0.588557 + 0.538315i
\(477\) −2.50115 + 10.9582i −0.114520 + 0.501744i
\(478\) 12.9425 32.6206i 0.591977 1.49203i
\(479\) −7.87933 + 2.43045i −0.360016 + 0.111050i −0.469486 0.882940i \(-0.655561\pi\)
0.109470 + 0.993990i \(0.465085\pi\)
\(480\) 5.15794 + 1.69641i 0.235427 + 0.0774300i
\(481\) −6.38777 + 20.7086i −0.291257 + 0.944232i
\(482\) 27.9464 18.9020i 1.27292 0.860964i
\(483\) 5.15389 4.78465i 0.234510 0.217709i
\(484\) −1.40475 20.8165i −0.0638521 0.946206i
\(485\) −1.88103 4.79279i −0.0854133 0.217630i
\(486\) 1.37758 + 0.319805i 0.0624883 + 0.0145066i
\(487\) −2.33174 + 15.4701i −0.105661 + 0.701018i 0.871794 + 0.489874i \(0.162957\pi\)
−0.977455 + 0.211144i \(0.932281\pi\)
\(488\) 1.88935 21.9331i 0.0855267 0.992863i
\(489\) 13.0477i 0.590039i
\(490\) 0.740231 9.47318i 0.0334402 0.427954i
\(491\) 36.6325i 1.65320i −0.562790 0.826600i \(-0.690272\pi\)
0.562790 0.826600i \(-0.309728\pi\)
\(492\) 2.19763 0.484469i 0.0990769 0.0218415i
\(493\) −4.55107 + 30.1944i −0.204970 + 1.35989i
\(494\) 5.67941 24.4644i 0.255529 1.10071i
\(495\) −0.264303 0.673432i −0.0118795 0.0302685i
\(496\) 3.23935 5.42324i 0.145451 0.243511i
\(497\) −1.86386 0.280427i −0.0836054 0.0125789i
\(498\) 7.71821 + 11.4113i 0.345861 + 0.511351i
\(499\) −2.91558 + 9.45207i −0.130519 + 0.423133i −0.997117 0.0758738i \(-0.975825\pi\)
0.866598 + 0.499006i \(0.166302\pi\)
\(500\) −9.71065 14.4725i −0.434273 0.647228i
\(501\) −13.4295 + 4.14247i −0.599988 + 0.185072i
\(502\) 10.1854 + 4.04113i 0.454595 + 0.180365i
\(503\) 4.39632 19.2615i 0.196022 0.858829i −0.777253 0.629188i \(-0.783388\pi\)
0.973275 0.229641i \(-0.0737553\pi\)
\(504\) −7.48287 0.0813070i −0.333314 0.00362170i
\(505\) −1.14274 5.00667i −0.0508513 0.222794i
\(506\) −0.432652 + 2.79994i −0.0192337 + 0.124472i
\(507\) −4.05807 2.76674i −0.180225 0.122875i
\(508\) 8.75956 + 0.721834i 0.388643 + 0.0320262i
\(509\) 17.9053 + 10.3377i 0.793640 + 0.458208i 0.841242 0.540658i \(-0.181825\pi\)
−0.0476023 + 0.998866i \(0.515158\pi\)
\(510\) 0.648960 + 4.41668i 0.0287364 + 0.195574i
\(511\) −16.9744 + 29.4185i −0.750903 + 1.30140i
\(512\) −0.755358 + 22.6148i −0.0333824 + 0.999443i
\(513\) 5.15928 3.51754i 0.227788 0.155303i
\(514\) 1.15306 0.550026i 0.0508595 0.0242606i
\(515\) 0.925205 + 0.997134i 0.0407694 + 0.0439390i
\(516\) 0.124126 16.7289i 0.00546434 0.736451i
\(517\) −2.35083 + 4.88155i −0.103389 + 0.214690i
\(518\) 20.9670 19.3205i 0.921236 0.848894i
\(519\) −3.83148 7.95616i −0.168183 0.349237i
\(520\) 1.06574 + 7.64727i 0.0467357 + 0.335355i
\(521\) −12.9537 + 7.47880i −0.567510 + 0.327652i −0.756154 0.654393i \(-0.772924\pi\)
0.188644 + 0.982045i \(0.439591\pi\)
\(522\) −10.2967 + 8.14901i −0.450673 + 0.356673i
\(523\) −2.02996 + 0.305967i −0.0887638 + 0.0133790i −0.193274 0.981145i \(-0.561911\pi\)
0.104510 + 0.994524i \(0.466673\pi\)
\(524\) 7.37733 18.3946i 0.322280 0.803574i
\(525\) 8.43866 + 6.72596i 0.368293 + 0.293545i
\(526\) −18.0070 + 30.9236i −0.785144 + 1.34833i
\(527\) 5.17908 + 0.388118i 0.225604 + 0.0169067i
\(528\) 2.38470 1.84452i 0.103781 0.0802722i
\(529\) 5.82169 14.8334i 0.253117 0.644931i
\(530\) −12.5745 8.64165i −0.546201 0.375369i
\(531\) −1.89988 + 2.38237i −0.0824476 + 0.103386i
\(532\) −22.6468 + 24.0599i −0.981865 + 1.04313i
\(533\) 1.99523 + 2.50194i 0.0864230 + 0.108371i
\(534\) 0.333945 + 4.68958i 0.0144512 + 0.202938i
\(535\) 1.14397 + 15.2652i 0.0494580 + 0.659971i
\(536\) 9.69575 + 17.2337i 0.418793 + 0.744381i
\(537\) −12.1938 + 13.1417i −0.526199 + 0.567108i
\(538\) −32.5129 10.1611i −1.40173 0.438078i
\(539\) −4.12661 3.28729i −0.177745 0.141594i
\(540\) −1.09315 + 1.57807i −0.0470415 + 0.0679092i
\(541\) −0.223062 0.206971i −0.00959018 0.00889838i 0.675363 0.737485i \(-0.263987\pi\)
−0.684953 + 0.728587i \(0.740177\pi\)
\(542\) −10.0269 + 20.6249i −0.430691 + 0.885917i
\(543\) 18.9363 1.41908i 0.812634 0.0608985i
\(544\) −16.9078 + 7.75940i −0.724917 + 0.332681i
\(545\) −2.78713 + 2.22266i −0.119388 + 0.0952084i
\(546\) −4.58406 9.60341i −0.196180 0.410988i
\(547\) −4.98738 3.97730i −0.213245 0.170057i 0.511042 0.859556i \(-0.329260\pi\)
−0.724287 + 0.689498i \(0.757831\pi\)
\(548\) 15.1832 + 19.3317i 0.648595 + 0.825808i
\(549\) 7.24520 + 2.84353i 0.309218 + 0.121359i
\(550\) −4.34741 0.0161283i −0.185374 0.000687714i
\(551\) −4.33280 + 57.8171i −0.184583 + 2.46309i
\(552\) 6.80938 3.18636i 0.289826 0.135620i
\(553\) −6.78925 + 29.7819i −0.288708 + 1.26646i
\(554\) −34.5564 2.71860i −1.46816 0.115502i
\(555\) −1.09010 7.23235i −0.0462723 0.306996i
\(556\) −9.80767 25.5453i −0.415938 1.08336i
\(557\) 1.60752 + 2.78430i 0.0681127 + 0.117975i 0.898071 0.439851i \(-0.144969\pi\)
−0.829958 + 0.557826i \(0.811636\pi\)
\(558\) 1.51302 + 1.64283i 0.0640512 + 0.0695465i
\(559\) 21.4336 10.3219i 0.906543 0.436568i
\(560\) 3.84860 9.40083i 0.162633 0.397258i
\(561\) 2.23318 + 1.07544i 0.0942850 + 0.0454052i
\(562\) 5.54536 + 18.2173i 0.233917 + 0.768451i
\(563\) 6.53081 6.05970i 0.275241 0.255386i −0.530459 0.847711i \(-0.677980\pi\)
0.805699 + 0.592325i \(0.201790\pi\)
\(564\) 14.2323 2.03729i 0.599287 0.0857855i
\(565\) −0.737173 1.08123i −0.0310131 0.0454879i
\(566\) −21.3996 + 22.8923i −0.899491 + 0.962236i
\(567\) 0.779181 2.52841i 0.0327225 0.106183i
\(568\) −1.80559 0.894414i −0.0757607 0.0375288i
\(569\) −6.22352 + 10.7794i −0.260903 + 0.451898i −0.966482 0.256734i \(-0.917354\pi\)
0.705579 + 0.708631i \(0.250687\pi\)
\(570\) 1.85547 + 8.27066i 0.0777171 + 0.346420i
\(571\) −8.64921 + 12.6861i −0.361958 + 0.530895i −0.963416 0.268009i \(-0.913634\pi\)
0.601458 + 0.798904i \(0.294587\pi\)
\(572\) 3.84863 + 1.88871i 0.160919 + 0.0789708i
\(573\) −15.7331 + 3.59097i −0.657259 + 0.150015i
\(574\) −0.613136 4.16522i −0.0255918 0.173853i
\(575\) −10.5694 2.41240i −0.440775 0.100604i
\(576\) −7.59021 2.52760i −0.316259 0.105317i
\(577\) −1.70164 5.51660i −0.0708404 0.229659i 0.913228 0.407449i \(-0.133581\pi\)
−0.984068 + 0.177790i \(0.943105\pi\)
\(578\) 6.81822 + 5.47886i 0.283601 + 0.227890i
\(579\) −1.01044 0.311680i −0.0419925 0.0129530i
\(580\) −5.12741 17.0713i −0.212904 0.708849i
\(581\) 22.3168 12.8925i 0.925857 0.534870i
\(582\) 2.74523 + 7.07177i 0.113794 + 0.293134i
\(583\) −7.88603 + 3.09504i −0.326606 + 0.128183i
\(584\) −26.8899 + 24.3989i −1.11271 + 1.00963i
\(585\) −2.69936 0.406863i −0.111605 0.0168217i
\(586\) −15.4483 26.9880i −0.638164 1.11486i
\(587\) −25.1503 −1.03807 −0.519033 0.854754i \(-0.673708\pi\)
−0.519033 + 0.854754i \(0.673708\pi\)
\(588\) −1.14240 + 13.9533i −0.0471119 + 0.575425i
\(589\) 9.86137 0.406331
\(590\) −2.05486 3.58982i −0.0845974 0.147790i
\(591\) −13.5859 2.04775i −0.558851 0.0842332i
\(592\) 27.6546 12.8158i 1.13660 0.526725i
\(593\) −6.83338 + 2.68191i −0.280613 + 0.110133i −0.501474 0.865173i \(-0.667209\pi\)
0.220860 + 0.975305i \(0.429113\pi\)
\(594\) 0.385731 + 0.993650i 0.0158267 + 0.0407700i
\(595\) 8.32806 0.626315i 0.341417 0.0256764i
\(596\) 32.5626 9.78023i 1.33382 0.400614i
\(597\) −22.5460 6.95451i −0.922744 0.284629i
\(598\) 8.33356 + 6.69652i 0.340785 + 0.273841i
\(599\) 8.63897 + 28.0068i 0.352979 + 1.14433i 0.941831 + 0.336088i \(0.109104\pi\)
−0.588852 + 0.808241i \(0.700420\pi\)
\(600\) 6.39212 + 9.60344i 0.260957 + 0.392059i
\(601\) 44.1258 + 10.0714i 1.79993 + 0.410822i 0.985532 0.169489i \(-0.0542119\pi\)
0.814395 + 0.580311i \(0.197069\pi\)
\(602\) −31.2021 2.44642i −1.27170 0.0997085i
\(603\) −6.81585 + 1.55567i −0.277563 + 0.0633519i
\(604\) 1.13397 2.31069i 0.0461405 0.0940207i
\(605\) −5.64059 + 8.27322i −0.229323 + 0.336354i
\(606\) 1.65630 + 7.38285i 0.0672824 + 0.299908i
\(607\) −16.9535 + 29.3643i −0.688121 + 1.19186i 0.284324 + 0.958728i \(0.408231\pi\)
−0.972445 + 0.233133i \(0.925102\pi\)
\(608\) −30.9130 + 17.0911i −1.25369 + 0.693136i
\(609\) 13.8440 + 20.2939i 0.560987 + 0.822350i
\(610\) −7.21486 + 7.71815i −0.292121 + 0.312499i
\(611\) 11.5170 + 16.8923i 0.465927 + 0.683389i
\(612\) −0.932007 6.51089i −0.0376742 0.263187i
\(613\) −4.48215 + 4.15883i −0.181032 + 0.167973i −0.765484 0.643455i \(-0.777500\pi\)
0.584451 + 0.811429i \(0.301310\pi\)
\(614\) −8.92095 29.3066i −0.360020 1.18272i
\(615\) −0.973069 0.468605i −0.0392379 0.0188960i
\(616\) −3.12641 4.69438i −0.125966 0.189142i
\(617\) −31.5981 + 15.2168i −1.27209 + 0.612607i −0.943346 0.331811i \(-0.892340\pi\)
−0.328746 + 0.944418i \(0.606626\pi\)
\(618\) −1.35771 1.47419i −0.0546150 0.0593006i
\(619\) −12.0683 20.9030i −0.485068 0.840162i 0.514785 0.857319i \(-0.327872\pi\)
−0.999853 + 0.0171572i \(0.994538\pi\)
\(620\) −2.83028 + 1.08664i −0.113667 + 0.0436404i
\(621\) 0.396157 + 2.62833i 0.0158972 + 0.105471i
\(622\) −23.6914 1.86384i −0.949940 0.0747331i
\(623\) 8.79561 0.00232399i 0.352389 9.31088e-5i
\(624\) −1.52841 11.2730i −0.0611855 0.451280i
\(625\) 0.898934 11.9954i 0.0359574 0.479818i
\(626\) 24.8369 + 0.0921414i 0.992681 + 0.00368271i
\(627\) 4.38100 + 1.71942i 0.174960 + 0.0686669i
\(628\) −13.9805 + 10.9804i −0.557884 + 0.438166i
\(629\) 19.5921 + 15.6242i 0.781190 + 0.622978i
\(630\) 2.80017 + 2.24889i 0.111561 + 0.0895978i
\(631\) −0.409493 + 0.326560i −0.0163017 + 0.0130001i −0.631607 0.775289i \(-0.717604\pi\)
0.615305 + 0.788289i \(0.289033\pi\)
\(632\) −16.6412 + 28.0966i −0.661953 + 1.11762i
\(633\) 12.8120 0.960126i 0.509231 0.0381616i
\(634\) 17.1942 35.3679i 0.682870 1.40464i
\(635\) −3.09215 2.86910i −0.122708 0.113857i
\(636\) 18.4795 + 12.8010i 0.732759 + 0.507591i
\(637\) −18.5282 + 7.28308i −0.734113 + 0.288566i
\(638\) −9.44640 2.95225i −0.373986 0.116881i
\(639\) 0.484555 0.522226i 0.0191687 0.0206590i
\(640\) 6.98896 8.31162i 0.276263 0.328545i
\(641\) 2.36901 + 31.6122i 0.0935702 + 1.24861i 0.824384 + 0.566031i \(0.191522\pi\)
−0.730814 + 0.682577i \(0.760859\pi\)
\(642\) −1.60203 22.4973i −0.0632271 0.887897i
\(643\) 27.1423 + 34.0354i 1.07039 + 1.34222i 0.936279 + 0.351257i \(0.114246\pi\)
0.134109 + 0.990967i \(0.457183\pi\)
\(644\) −5.04468 13.1291i −0.198788 0.517359i
\(645\) −5.00592 + 6.27723i −0.197108 + 0.247166i
\(646\) −23.9341 16.4484i −0.941674 0.647153i
\(647\) 7.11997 18.1414i 0.279915 0.713211i −0.719902 0.694076i \(-0.755813\pi\)
0.999817 0.0191357i \(-0.00609146\pi\)
\(648\) 1.61922 2.31908i 0.0636090 0.0911020i
\(649\) −2.29023 0.171629i −0.0898993 0.00673702i
\(650\) −8.25502 + 14.1764i −0.323788 + 0.556044i
\(651\) 3.26606 2.60601i 0.128007 0.102137i
\(652\) −24.2202 9.71372i −0.948536 0.380419i
\(653\) −39.3073 + 5.92462i −1.53821 + 0.231848i −0.862782 0.505575i \(-0.831280\pi\)
−0.675431 + 0.737424i \(0.736042\pi\)
\(654\) 4.11858 3.25954i 0.161049 0.127458i
\(655\) −8.23728 + 4.75580i −0.321857 + 0.185824i
\(656\) 0.736776 4.44008i 0.0287663 0.173356i
\(657\) −5.56990 11.5660i −0.217302 0.451233i
\(658\) −1.91763 26.8291i −0.0747569 1.04591i
\(659\) −7.29998 + 15.1586i −0.284367 + 0.590493i −0.993403 0.114679i \(-0.963416\pi\)
0.709036 + 0.705172i \(0.249130\pi\)
\(660\) −1.44684 0.0107353i −0.0563183 0.000417872i
\(661\) 25.5614 + 27.5487i 0.994224 + 1.07152i 0.997439 + 0.0715243i \(0.0227863\pi\)
−0.00321442 + 0.999995i \(0.501023\pi\)
\(662\) 10.2609 4.89456i 0.398800 0.190232i
\(663\) 7.72778 5.26871i 0.300122 0.204620i
\(664\) 26.9284 5.83171i 1.04503 0.226314i
\(665\) 15.6799 2.36759i 0.608039 0.0918114i
\(666\) 1.56658 + 10.6618i 0.0607036 + 0.413136i
\(667\) −21.3736 12.3400i −0.827589 0.477809i
\(668\) −2.30841 + 28.0129i −0.0893151 + 1.08385i
\(669\) 15.2104 + 10.3702i 0.588066 + 0.400937i
\(670\) 1.44922 9.37870i 0.0559881 0.362331i
\(671\) 1.30536 + 5.71914i 0.0503927 + 0.220785i
\(672\) −5.72174 + 13.8297i −0.220721 + 0.533494i
\(673\) −0.576077 + 2.52396i −0.0222061 + 0.0972915i −0.984817 0.173598i \(-0.944461\pi\)
0.962610 + 0.270889i \(0.0873178\pi\)
\(674\) −35.3228 14.0146i −1.36058 0.539823i
\(675\) −3.89748 + 1.20221i −0.150014 + 0.0462732i
\(676\) −8.15697 + 5.47312i −0.313730 + 0.210504i
\(677\) 4.22048 13.6825i 0.162206 0.525860i −0.837585 0.546308i \(-0.816033\pi\)
0.999791 + 0.0204476i \(0.00650914\pi\)
\(678\) 1.08021 + 1.59707i 0.0414852 + 0.0613352i
\(679\) 13.5604 4.18674i 0.520399 0.160672i
\(680\) 8.68171 + 2.08346i 0.332929 + 0.0798972i
\(681\) −8.42739 21.4726i −0.322938 0.822833i
\(682\) −0.380660 + 1.63972i −0.0145762 + 0.0627880i
\(683\) 6.41294 42.5471i 0.245384 1.62802i −0.438712 0.898628i \(-0.644565\pi\)
0.684097 0.729391i \(-0.260197\pi\)
\(684\) −2.68856 12.1958i −0.102800 0.466317i
\(685\) 11.7972i 0.450749i
\(686\) 25.8876 + 3.97919i 0.988392 + 0.151926i
\(687\) 2.74698i 0.104804i
\(688\) −30.9611 12.6847i −1.18038 0.483600i
\(689\) −4.76444 + 31.6100i −0.181511 + 1.20425i
\(690\) −3.51463 0.815920i −0.133800 0.0310615i
\(691\) 14.6840 + 37.4141i 0.558604 + 1.42330i 0.879369 + 0.476142i \(0.157965\pi\)
−0.320764 + 0.947159i \(0.603940\pi\)
\(692\) −17.6213 + 1.18912i −0.669860 + 0.0452037i
\(693\) 1.90536 0.588276i 0.0723785 0.0223468i
\(694\) 9.33563 6.31432i 0.354376 0.239688i
\(695\) −3.87083 + 12.5489i −0.146829 + 0.476008i
\(696\) 7.46119 + 25.1802i 0.282816 + 0.954453i
\(697\) 3.53597 1.09070i 0.133934 0.0413133i
\(698\) −10.8630 + 27.3795i −0.411172 + 1.03633i
\(699\) 3.02011 13.2320i 0.114231 0.500479i
\(700\) 18.7676 10.6572i 0.709349 0.402803i
\(701\) −3.20091 14.0241i −0.120897 0.529684i −0.998714 0.0506888i \(-0.983858\pi\)
0.877818 0.478995i \(-0.158999\pi\)
\(702\) 3.97489 + 0.614208i 0.150023 + 0.0231818i
\(703\) 39.3136 + 26.8036i 1.48274 + 1.01092i
\(704\) −1.64858 5.79986i −0.0621331 0.218590i
\(705\) −5.97563 3.45003i −0.225055 0.129936i
\(706\) 20.3973 2.99705i 0.767663 0.112796i
\(707\) 13.9967 2.11345i 0.526400 0.0794843i
\(708\) 3.00792 + 5.30031i 0.113045 + 0.199198i
\(709\) 16.2267 11.0632i 0.609408 0.415487i −0.218910 0.975745i \(-0.570250\pi\)
0.828318 + 0.560258i \(0.189298\pi\)
\(710\) 0.416347 + 0.872822i 0.0156252 + 0.0327564i
\(711\) −7.85280 8.46330i −0.294503 0.317399i
\(712\) 8.95376 + 2.87138i 0.335556 + 0.107610i
\(713\) −1.82131 + 3.78200i −0.0682087 + 0.141637i
\(714\) −12.2736 + 0.877264i −0.459329 + 0.0328308i
\(715\) −0.892711 1.85373i −0.0333855 0.0693257i
\(716\) 15.3167 + 32.4187i 0.572413 + 1.21154i
\(717\) 21.4908 12.4077i 0.802590 0.463375i
\(718\) −12.4772 15.7655i −0.465645 0.588364i
\(719\) 21.8131 3.28779i 0.813490 0.122614i 0.270896 0.962609i \(-0.412680\pi\)
0.542594 + 0.839995i \(0.317442\pi\)
\(720\) 2.11550 + 3.20401i 0.0788402 + 0.119407i
\(721\) −2.93079 + 2.33850i −0.109148 + 0.0870902i
\(722\) −24.4316 14.2267i −0.909251 0.529464i
\(723\) 23.7900 + 1.78281i 0.884760 + 0.0663036i
\(724\) 11.4634 36.2074i 0.426034 1.34564i
\(725\) 13.8359 35.2533i 0.513852 1.30927i
\(726\) 8.35582 12.1586i 0.310113 0.451247i
\(727\) −19.9364 + 24.9995i −0.739401 + 0.927179i −0.999260 0.0384672i \(-0.987752\pi\)
0.259859 + 0.965647i \(0.416324\pi\)
\(728\) −21.2393 + 1.35978i −0.787180 + 0.0503967i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 17.3818 1.23776i 0.643330 0.0458115i
\(731\) −2.05571 27.4315i −0.0760331 1.01459i
\(732\) 10.6722 11.3321i 0.394458 0.418848i
\(733\) −5.59252 + 6.02730i −0.206564 + 0.222624i −0.827834 0.560974i \(-0.810427\pi\)
0.621269 + 0.783597i \(0.286617\pi\)
\(734\) −4.20323 + 13.4492i −0.155144 + 0.496419i
\(735\) 4.56745 4.92776i 0.168473 0.181763i
\(736\) −0.845339 15.0122i −0.0311596 0.553359i
\(737\) −3.86261 3.58398i −0.142281 0.132018i
\(738\) 1.43112 + 0.695741i 0.0526801 + 0.0256106i
\(739\) 10.1193 0.758335i 0.372244 0.0278958i 0.112705 0.993628i \(-0.464049\pi\)
0.259539 + 0.965733i \(0.416429\pi\)
\(740\) −14.2368 3.36078i −0.523355 0.123545i
\(741\) 13.8845 11.0725i 0.510061 0.406760i
\(742\) 26.3349 32.7905i 0.966785 1.20378i
\(743\) −22.9693 18.3174i −0.842661 0.672000i 0.103878 0.994590i \(-0.466875\pi\)
−0.946539 + 0.322590i \(0.895446\pi\)
\(744\) 4.17595 1.58553i 0.153098 0.0581285i
\(745\) −15.1894 5.96138i −0.556495 0.218408i
\(746\) −0.0836972 + 22.5607i −0.00306437 + 0.826006i
\(747\) −0.727971 + 9.71410i −0.0266351 + 0.355420i
\(748\) 3.65887 3.34476i 0.133781 0.122296i
\(749\) −42.1951 + 0.0111489i −1.54178 + 0.000407371i
\(750\) 0.966539 12.2858i 0.0352930 0.448613i
\(751\) 0.707135 + 4.69153i 0.0258037 + 0.171196i 0.998021 0.0628845i \(-0.0200300\pi\)
−0.972217 + 0.234081i \(0.924792\pi\)
\(752\) 6.81381 27.9357i 0.248474 1.01871i
\(753\) 3.87415 + 6.71023i 0.141182 + 0.244534i
\(754\) −27.4702 + 25.2996i −1.00041 + 0.921358i
\(755\) −1.11297 + 0.535977i −0.0405051 + 0.0195062i
\(756\) −4.11335 3.32872i −0.149601 0.121064i
\(757\) −0.591700 0.284948i −0.0215057 0.0103566i 0.423100 0.906083i \(-0.360942\pi\)
−0.444606 + 0.895726i \(0.646656\pi\)
\(758\) −4.38235 + 1.33399i −0.159174 + 0.0484527i
\(759\) −1.46856 + 1.36262i −0.0533053 + 0.0494601i
\(760\) 16.7340 + 2.71304i 0.607005 + 0.0984124i
\(761\) −18.3426 26.9036i −0.664917 0.975255i −0.999460 0.0328738i \(-0.989534\pi\)
0.334542 0.942381i \(-0.391418\pi\)
\(762\) 4.54016 + 4.24410i 0.164473 + 0.153748i
\(763\) −5.53748 8.11738i −0.200470 0.293869i
\(764\) −5.04706 + 31.8783i −0.182596 + 1.15332i
\(765\) −1.57830 + 2.73370i −0.0570636 + 0.0988370i
\(766\) 14.6121 3.27814i 0.527958 0.118444i
\(767\) −4.88186 + 7.16038i −0.176274 + 0.258546i
\(768\) −10.3427 + 12.2078i −0.373208 + 0.440510i
\(769\) −17.7627 + 4.05423i −0.640541 + 0.146199i −0.530442 0.847721i \(-0.677974\pi\)
−0.110099 + 0.993921i \(0.535117\pi\)
\(770\) −0.211584 + 2.69859i −0.00762496 + 0.0972503i
\(771\) 0.880702 + 0