Properties

Label 588.2.x.a.223.5
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
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.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 223.5
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.a.559.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.20962 + 0.732680i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.926360 - 1.77253i) q^{4} +(2.14831 + 0.490338i) q^{5} +(-0.445144 - 1.34233i) q^{6} +(1.67043 + 2.05175i) q^{7} +(0.178152 + 2.82281i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\) \(q+(-1.20962 + 0.732680i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.926360 - 1.77253i) q^{4} +(2.14831 + 0.490338i) q^{5} +(-0.445144 - 1.34233i) q^{6} +(1.67043 + 2.05175i) q^{7} +(0.178152 + 2.82281i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-2.95790 + 0.980901i) q^{10} +(1.39130 + 2.88907i) q^{11} +(1.52195 + 1.29756i) q^{12} +(-1.12155 - 2.32892i) q^{13} +(-3.52386 - 1.25795i) q^{14} +(-0.956088 + 1.98534i) q^{15} +(-2.28371 - 3.28400i) q^{16} +(1.59399 - 1.27116i) q^{17} +(1.40773 - 0.135287i) q^{18} +2.54983 q^{19} +(2.85925 - 3.35371i) q^{20} +(-2.37201 + 1.17199i) q^{21} +(-3.79971 - 2.47530i) q^{22} +(1.26830 + 1.01143i) q^{23} +(-2.79168 - 0.454449i) q^{24} +(-0.130038 - 0.0626230i) q^{25} +(3.06300 + 1.99537i) q^{26} +(0.623490 - 0.781831i) q^{27} +(5.18420 - 1.06022i) q^{28} +(4.92110 + 6.17086i) q^{29} +(-0.298114 - 3.10201i) q^{30} +4.58100 q^{31} +(5.16855 + 2.29916i) q^{32} +(-3.12623 + 0.713542i) q^{33} +(-0.996764 + 2.70551i) q^{34} +(2.58254 + 5.22687i) q^{35} +(-1.60369 + 1.19506i) q^{36} +(-5.04065 - 6.32077i) q^{37} +(-3.08432 + 1.86821i) q^{38} +(2.52010 - 0.575196i) q^{39} +(-1.00141 + 6.15163i) q^{40} +(-1.58946 - 0.362785i) q^{41} +(2.01054 - 3.15559i) q^{42} +(-6.91951 + 1.57933i) q^{43} +(6.40981 + 0.210196i) q^{44} +(-1.72281 - 1.37390i) q^{45} +(-2.27521 - 0.294194i) q^{46} +(-7.79226 + 3.75255i) q^{47} +(3.70984 - 1.49570i) q^{48} +(-1.41935 + 6.85459i) q^{49} +(0.203179 - 0.0195262i) q^{50} +(0.884596 + 1.83688i) q^{51} +(-5.16704 - 0.169442i) q^{52} +(3.59364 - 4.50629i) q^{53} +(-0.181353 + 1.40254i) q^{54} +(1.57233 + 6.88883i) q^{55} +(-5.49411 + 5.08082i) q^{56} +(-0.567390 + 2.48590i) q^{57} +(-10.4739 - 3.85881i) q^{58} +(2.42301 + 10.6159i) q^{59} +(2.63338 + 3.53383i) q^{60} +(-5.04557 + 4.02370i) q^{61} +(-5.54126 + 3.35640i) q^{62} +(-0.614781 - 2.57333i) q^{63} +(-7.93652 + 1.00578i) q^{64} +(-1.26748 - 5.55318i) q^{65} +(3.25875 - 3.15364i) q^{66} +2.06226i q^{67} +(-0.776565 - 4.00294i) q^{68} +(-1.26830 + 1.01143i) q^{69} +(-6.95352 - 4.43035i) q^{70} +(-0.0808511 - 0.0644766i) q^{71} +(1.06426 - 2.62056i) q^{72} +(5.32433 - 11.0561i) q^{73} +(10.7284 + 3.95255i) q^{74} +(0.0899890 - 0.112843i) q^{75} +(2.36206 - 4.51964i) q^{76} +(-3.60358 + 7.68059i) q^{77} +(-2.62693 + 2.54219i) q^{78} -0.363543i q^{79} +(-3.29586 - 8.17484i) q^{80} +(0.623490 + 0.781831i) q^{81} +(2.18845 - 0.725737i) q^{82} +(-2.97368 - 1.43205i) q^{83} +(-0.119956 + 5.29014i) q^{84} +(4.04768 - 1.94926i) q^{85} +(7.21283 - 6.98018i) q^{86} +(-7.11119 + 3.42457i) q^{87} +(-7.90744 + 4.44208i) q^{88} +(-3.25601 + 6.76118i) q^{89} +(3.09057 + 0.399623i) q^{90} +(2.90490 - 6.19143i) q^{91} +(2.96769 - 1.31114i) q^{92} +(-1.01937 + 4.46614i) q^{93} +(6.67625 - 10.2484i) q^{94} +(5.47782 + 1.25028i) q^{95} +(-3.39163 + 4.52735i) q^{96} +2.62144i q^{97} +(-3.30535 - 9.33138i) q^{98} -3.20663i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 28q^{3} + 2q^{7} + 6q^{8} - 28q^{9} + O(q^{10}) \) \( 168q - 28q^{3} + 2q^{7} + 6q^{8} - 28q^{9} + 20q^{10} - 12q^{14} + 36q^{16} + 12q^{19} - 25q^{20} + 2q^{21} - 6q^{22} - 15q^{24} + 32q^{25} + 6q^{26} - 28q^{27} - 66q^{28} - 8q^{30} - 4q^{31} + 25q^{32} - 68q^{34} - 12q^{35} - 10q^{37} + 35q^{38} + 14q^{39} + 16q^{40} + 9q^{42} + 20q^{44} - 28q^{46} - 8q^{47} + 8q^{48} - 8q^{49} + 114q^{50} + 20q^{52} - 8q^{53} - q^{56} + 12q^{57} - 6q^{58} + 20q^{59} + 10q^{60} - 14q^{61} - 16q^{62} - 12q^{63} + 42q^{64} - 8q^{65} - 6q^{66} - 16q^{68} + 59q^{70} + 28q^{71} - 15q^{72} + 22q^{74} + 18q^{75} + 7q^{76} + 8q^{77} + 6q^{78} + 26q^{80} - 28q^{81} + 12q^{82} + 10q^{83} + 11q^{84} - 24q^{85} - 6q^{86} - 242q^{88} + 20q^{90} - 16q^{91} + 7q^{92} - 4q^{93} - 53q^{94} - 10q^{96} - 118q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20962 + 0.732680i −0.855330 + 0.518083i
\(3\) −0.222521 + 0.974928i −0.128473 + 0.562875i
\(4\) 0.926360 1.77253i 0.463180 0.886264i
\(5\) 2.14831 + 0.490338i 0.960754 + 0.219286i 0.674011 0.738722i \(-0.264570\pi\)
0.286743 + 0.958008i \(0.407427\pi\)
\(6\) −0.445144 1.34233i −0.181729 0.548003i
\(7\) 1.67043 + 2.05175i 0.631362 + 0.775488i
\(8\) 0.178152 + 2.82281i 0.0629863 + 0.998014i
\(9\) −0.900969 0.433884i −0.300323 0.144628i
\(10\) −2.95790 + 0.980901i −0.935370 + 0.310188i
\(11\) 1.39130 + 2.88907i 0.419494 + 0.871088i 0.998446 + 0.0557264i \(0.0177475\pi\)
−0.578952 + 0.815361i \(0.696538\pi\)
\(12\) 1.52195 + 1.29756i 0.439350 + 0.374573i
\(13\) −1.12155 2.32892i −0.311062 0.645927i 0.685563 0.728013i \(-0.259556\pi\)
−0.996625 + 0.0820864i \(0.973842\pi\)
\(14\) −3.52386 1.25795i −0.941790 0.336201i
\(15\) −0.956088 + 1.98534i −0.246861 + 0.512612i
\(16\) −2.28371 3.28400i −0.570928 0.821000i
\(17\) 1.59399 1.27116i 0.386599 0.308302i −0.410834 0.911710i \(-0.634762\pi\)
0.797433 + 0.603408i \(0.206191\pi\)
\(18\) 1.40773 0.135287i 0.331805 0.0318875i
\(19\) 2.54983 0.584970 0.292485 0.956270i \(-0.405518\pi\)
0.292485 + 0.956270i \(0.405518\pi\)
\(20\) 2.85925 3.35371i 0.639347 0.749913i
\(21\) −2.37201 + 1.17199i −0.517616 + 0.255749i
\(22\) −3.79971 2.47530i −0.810102 0.527735i
\(23\) 1.26830 + 1.01143i 0.264458 + 0.210898i 0.746737 0.665119i \(-0.231619\pi\)
−0.482279 + 0.876018i \(0.660191\pi\)
\(24\) −2.79168 0.454449i −0.569849 0.0927640i
\(25\) −0.130038 0.0626230i −0.0260076 0.0125246i
\(26\) 3.06300 + 1.99537i 0.600704 + 0.391325i
\(27\) 0.623490 0.781831i 0.119991 0.150464i
\(28\) 5.18420 1.06022i 0.979722 0.200363i
\(29\) 4.92110 + 6.17086i 0.913825 + 1.14590i 0.988879 + 0.148721i \(0.0475155\pi\)
−0.0750546 + 0.997179i \(0.523913\pi\)
\(30\) −0.298114 3.10201i −0.0544279 0.566347i
\(31\) 4.58100 0.822771 0.411386 0.911461i \(-0.365045\pi\)
0.411386 + 0.911461i \(0.365045\pi\)
\(32\) 5.16855 + 2.29916i 0.913678 + 0.406438i
\(33\) −3.12623 + 0.713542i −0.544207 + 0.124212i
\(34\) −0.996764 + 2.70551i −0.170944 + 0.463990i
\(35\) 2.58254 + 5.22687i 0.436530 + 0.883502i
\(36\) −1.60369 + 1.19506i −0.267282 + 0.199177i
\(37\) −5.04065 6.32077i −0.828677 1.03913i −0.998559 0.0536637i \(-0.982910\pi\)
0.169882 0.985464i \(-0.445661\pi\)
\(38\) −3.08432 + 1.86821i −0.500343 + 0.303063i
\(39\) 2.52010 0.575196i 0.403539 0.0921051i
\(40\) −1.00141 + 6.15163i −0.158336 + 0.972658i
\(41\) −1.58946 0.362785i −0.248233 0.0566575i 0.0965940 0.995324i \(-0.469205\pi\)
−0.344827 + 0.938666i \(0.612062\pi\)
\(42\) 2.01054 3.15559i 0.310233 0.486917i
\(43\) −6.91951 + 1.57933i −1.05521 + 0.240846i −0.714727 0.699403i \(-0.753449\pi\)
−0.340488 + 0.940249i \(0.610592\pi\)
\(44\) 6.40981 + 0.210196i 0.966315 + 0.0316883i
\(45\) −1.72281 1.37390i −0.256822 0.204808i
\(46\) −2.27521 0.294194i −0.335462 0.0433765i
\(47\) −7.79226 + 3.75255i −1.13662 + 0.547366i −0.904988 0.425438i \(-0.860120\pi\)
−0.231630 + 0.972804i \(0.574406\pi\)
\(48\) 3.70984 1.49570i 0.535469 0.215885i
\(49\) −1.41935 + 6.85459i −0.202765 + 0.979228i
\(50\) 0.203179 0.0195262i 0.0287339 0.00276142i
\(51\) 0.884596 + 1.83688i 0.123868 + 0.257215i
\(52\) −5.16704 0.169442i −0.716539 0.0234974i
\(53\) 3.59364 4.50629i 0.493625 0.618986i −0.471153 0.882051i \(-0.656162\pi\)
0.964778 + 0.263065i \(0.0847335\pi\)
\(54\) −0.181353 + 1.40254i −0.0246791 + 0.190861i
\(55\) 1.57233 + 6.88883i 0.212013 + 0.928890i
\(56\) −5.49411 + 5.08082i −0.734181 + 0.678953i
\(57\) −0.567390 + 2.48590i −0.0751526 + 0.329265i
\(58\) −10.4739 3.85881i −1.37529 0.506686i
\(59\) 2.42301 + 10.6159i 0.315449 + 1.38207i 0.845441 + 0.534070i \(0.179338\pi\)
−0.529991 + 0.848003i \(0.677805\pi\)
\(60\) 2.63338 + 3.53383i 0.339968 + 0.456216i
\(61\) −5.04557 + 4.02370i −0.646018 + 0.515182i −0.890800 0.454396i \(-0.849855\pi\)
0.244781 + 0.969578i \(0.421284\pi\)
\(62\) −5.54126 + 3.35640i −0.703741 + 0.426264i
\(63\) −0.614781 2.57333i −0.0774552 0.324210i
\(64\) −7.93652 + 1.00578i −0.992065 + 0.125722i
\(65\) −1.26748 5.55318i −0.157211 0.688788i
\(66\) 3.25875 3.15364i 0.401125 0.388186i
\(67\) 2.06226i 0.251945i 0.992034 + 0.125973i \(0.0402052\pi\)
−0.992034 + 0.125973i \(0.959795\pi\)
\(68\) −0.776565 4.00294i −0.0941723 0.485428i
\(69\) −1.26830 + 1.01143i −0.152685 + 0.121762i
\(70\) −6.95352 4.43035i −0.831104 0.529528i
\(71\) −0.0808511 0.0644766i −0.00959527 0.00765197i 0.618680 0.785643i \(-0.287668\pi\)
−0.628276 + 0.777991i \(0.716239\pi\)
\(72\) 1.06426 2.62056i 0.125425 0.308836i
\(73\) 5.32433 11.0561i 0.623165 1.29402i −0.315415 0.948954i \(-0.602144\pi\)
0.938580 0.345062i \(-0.112142\pi\)
\(74\) 10.7284 + 3.95255i 1.24715 + 0.459474i
\(75\) 0.0899890 0.112843i 0.0103910 0.0130300i
\(76\) 2.36206 4.51964i 0.270947 0.518438i
\(77\) −3.60358 + 7.68059i −0.410666 + 0.875284i
\(78\) −2.62693 + 2.54219i −0.297441 + 0.287847i
\(79\) 0.363543i 0.0409018i −0.999791 0.0204509i \(-0.993490\pi\)
0.999791 0.0204509i \(-0.00651017\pi\)
\(80\) −3.29586 8.17484i −0.368488 0.913975i
\(81\) 0.623490 + 0.781831i 0.0692766 + 0.0868702i
\(82\) 2.18845 0.725737i 0.241674 0.0801443i
\(83\) −2.97368 1.43205i −0.326404 0.157188i 0.263504 0.964658i \(-0.415122\pi\)
−0.589908 + 0.807470i \(0.700836\pi\)
\(84\) −0.119956 + 5.29014i −0.0130883 + 0.577202i
\(85\) 4.04768 1.94926i 0.439032 0.211427i
\(86\) 7.21283 6.98018i 0.777779 0.752692i
\(87\) −7.11119 + 3.42457i −0.762400 + 0.367152i
\(88\) −7.90744 + 4.44208i −0.842936 + 0.473527i
\(89\) −3.25601 + 6.76118i −0.345137 + 0.716684i −0.999210 0.0397476i \(-0.987345\pi\)
0.654073 + 0.756431i \(0.273059\pi\)
\(90\) 3.09057 + 0.399623i 0.325775 + 0.0421239i
\(91\) 2.90490 6.19143i 0.304516 0.649038i
\(92\) 2.96769 1.31114i 0.309403 0.136696i
\(93\) −1.01937 + 4.46614i −0.105703 + 0.463117i
\(94\) 6.67625 10.2484i 0.688603 1.05704i
\(95\) 5.47782 + 1.25028i 0.562012 + 0.128276i
\(96\) −3.39163 + 4.52735i −0.346156 + 0.462070i
\(97\) 2.62144i 0.266167i 0.991105 + 0.133084i \(0.0424879\pi\)
−0.991105 + 0.133084i \(0.957512\pi\)
\(98\) −3.30535 9.33138i −0.333890 0.942612i
\(99\) 3.20663i 0.322278i
\(100\) −0.231463 + 0.172484i −0.0231463 + 0.0172484i
\(101\) 15.8899 + 3.62677i 1.58111 + 0.360877i 0.920774 0.390096i \(-0.127558\pi\)
0.660333 + 0.750973i \(0.270415\pi\)
\(102\) −2.41587 1.57380i −0.239207 0.155830i
\(103\) −1.31755 + 5.77255i −0.129822 + 0.568787i 0.867615 + 0.497236i \(0.165652\pi\)
−0.997437 + 0.0715504i \(0.977205\pi\)
\(104\) 6.37430 3.58082i 0.625051 0.351129i
\(105\) −5.67049 + 1.35471i −0.553383 + 0.132206i
\(106\) −1.04528 + 8.08389i −0.101526 + 0.785176i
\(107\) 3.44231 7.14803i 0.332780 0.691026i −0.665695 0.746224i \(-0.731865\pi\)
0.998475 + 0.0551982i \(0.0175791\pi\)
\(108\) −0.808242 1.82941i −0.0777731 0.176035i
\(109\) 10.1448 4.88547i 0.971694 0.467943i 0.120453 0.992719i \(-0.461565\pi\)
0.851240 + 0.524776i \(0.175851\pi\)
\(110\) −6.94923 7.18085i −0.662583 0.684667i
\(111\) 7.28394 3.50776i 0.691361 0.332942i
\(112\) 2.92317 10.1713i 0.276214 0.961096i
\(113\) −6.89236 3.31918i −0.648378 0.312243i 0.0806333 0.996744i \(-0.474306\pi\)
−0.729012 + 0.684501i \(0.760020\pi\)
\(114\) −1.13504 3.42270i −0.106306 0.320566i
\(115\) 2.22875 + 2.79477i 0.207832 + 0.260613i
\(116\) 15.4967 3.00634i 1.43884 0.279132i
\(117\) 2.58491i 0.238975i
\(118\) −10.7090 11.0659i −0.985841 1.01870i
\(119\) 5.27075 + 1.14708i 0.483168 + 0.105153i
\(120\) −5.77456 2.34516i −0.527143 0.214083i
\(121\) 0.447378 0.560995i 0.0406707 0.0509995i
\(122\) 3.15513 8.56394i 0.285652 0.775342i
\(123\) 0.707378 1.46889i 0.0637822 0.132445i
\(124\) 4.24365 8.11995i 0.381091 0.729193i
\(125\) −8.86271 7.06778i −0.792705 0.632161i
\(126\) 2.62908 + 2.66232i 0.234217 + 0.237178i
\(127\) 10.2242 8.15353i 0.907252 0.723509i −0.0541862 0.998531i \(-0.517256\pi\)
0.961438 + 0.275022i \(0.0886850\pi\)
\(128\) 8.86326 7.03154i 0.783409 0.621506i
\(129\) 7.09746i 0.624896i
\(130\) 5.60187 + 5.78859i 0.491317 + 0.507693i
\(131\) −4.34100 19.0192i −0.379275 1.66171i −0.699698 0.714439i \(-0.746682\pi\)
0.320423 0.947275i \(-0.396175\pi\)
\(132\) −1.63124 + 6.20233i −0.141981 + 0.539843i
\(133\) 4.25930 + 5.23160i 0.369328 + 0.453638i
\(134\) −1.51098 2.49455i −0.130529 0.215496i
\(135\) 1.72281 1.37390i 0.148276 0.118246i
\(136\) 3.87222 + 4.27307i 0.332040 + 0.366412i
\(137\) −0.281494 1.23331i −0.0240497 0.105368i 0.961479 0.274880i \(-0.0886381\pi\)
−0.985528 + 0.169512i \(0.945781\pi\)
\(138\) 0.793100 2.15270i 0.0675132 0.183250i
\(139\) −2.20770 + 9.67255i −0.187254 + 0.820415i 0.790802 + 0.612073i \(0.209664\pi\)
−0.978056 + 0.208342i \(0.933193\pi\)
\(140\) 11.6571 + 0.264331i 0.985208 + 0.0223400i
\(141\) −1.92453 8.43191i −0.162075 0.710095i
\(142\) 0.145040 + 0.0187542i 0.0121715 + 0.00157382i
\(143\) 5.16801 6.48047i 0.432170 0.541924i
\(144\) 0.632680 + 3.94965i 0.0527234 + 0.329137i
\(145\) 7.54624 + 15.6699i 0.626681 + 1.30132i
\(146\) 1.66016 + 17.2747i 0.137395 + 1.42966i
\(147\) −6.36690 2.90906i −0.525133 0.239935i
\(148\) −15.8732 + 3.07938i −1.30477 + 0.253123i
\(149\) −12.0750 + 5.81504i −0.989226 + 0.476386i −0.857269 0.514869i \(-0.827841\pi\)
−0.131958 + 0.991255i \(0.542126\pi\)
\(150\) −0.0261750 + 0.202430i −0.00213718 + 0.0165283i
\(151\) −13.7382 10.9559i −1.11800 0.891578i −0.123098 0.992395i \(-0.539283\pi\)
−0.994905 + 0.100817i \(0.967854\pi\)
\(152\) 0.454257 + 7.19768i 0.0368451 + 0.583809i
\(153\) −1.98767 + 0.453673i −0.160694 + 0.0366773i
\(154\) −1.26845 11.9309i −0.102215 0.961416i
\(155\) 9.84140 + 2.24624i 0.790480 + 0.180422i
\(156\) 1.31497 4.99979i 0.105282 0.400303i
\(157\) 18.9207 4.31852i 1.51003 0.344655i 0.614238 0.789121i \(-0.289464\pi\)
0.895796 + 0.444466i \(0.146606\pi\)
\(158\) 0.266361 + 0.439749i 0.0211905 + 0.0349845i
\(159\) 3.59364 + 4.50629i 0.284995 + 0.357372i
\(160\) 9.97627 + 7.47364i 0.788694 + 0.590843i
\(161\) 0.0433894 + 4.29175i 0.00341957 + 0.338237i
\(162\) −1.32702 0.488900i −0.104260 0.0384116i
\(163\) −9.84435 + 2.24691i −0.771069 + 0.175992i −0.589917 0.807464i \(-0.700840\pi\)
−0.181152 + 0.983455i \(0.557983\pi\)
\(164\) −2.11546 + 2.48130i −0.165190 + 0.193757i
\(165\) −7.06599 −0.550087
\(166\) 4.64626 0.446521i 0.360620 0.0346568i
\(167\) −14.6538 18.3752i −1.13394 1.42192i −0.892236 0.451570i \(-0.850864\pi\)
−0.241707 0.970349i \(-0.577707\pi\)
\(168\) −3.73088 6.48695i −0.287844 0.500479i
\(169\) 3.93937 4.93981i 0.303028 0.379985i
\(170\) −3.46797 + 5.32352i −0.265981 + 0.408295i
\(171\) −2.29731 1.10633i −0.175680 0.0846030i
\(172\) −3.61055 + 13.7281i −0.275302 + 1.04675i
\(173\) 14.5608 + 11.6119i 1.10704 + 0.882833i 0.993849 0.110741i \(-0.0353224\pi\)
0.113188 + 0.993574i \(0.463894\pi\)
\(174\) 6.09272 9.35265i 0.461888 0.709023i
\(175\) −0.0887321 0.371412i −0.00670752 0.0280761i
\(176\) 6.31037 11.1669i 0.475662 0.841733i
\(177\) −10.8889 −0.818460
\(178\) −1.01524 10.5641i −0.0760957 0.791811i
\(179\) 19.9925 15.9435i 1.49431 1.19167i 0.563531 0.826095i \(-0.309443\pi\)
0.930780 0.365579i \(-0.119129\pi\)
\(180\) −4.03121 + 1.78101i −0.300469 + 0.132749i
\(181\) 2.37562 4.93302i 0.176578 0.366669i −0.793830 0.608140i \(-0.791916\pi\)
0.970408 + 0.241472i \(0.0776301\pi\)
\(182\) 1.02251 + 9.61764i 0.0757938 + 0.712907i
\(183\) −2.80008 5.81442i −0.206988 0.429814i
\(184\) −2.62913 + 3.76035i −0.193822 + 0.277217i
\(185\) −7.72956 16.0506i −0.568288 1.18006i
\(186\) −2.03920 6.14920i −0.149522 0.450881i
\(187\) 5.89020 + 2.83657i 0.430734 + 0.207431i
\(188\) −0.566931 + 17.2882i −0.0413477 + 1.26087i
\(189\) 2.64562 0.0267471i 0.192440 0.00194556i
\(190\) −7.54213 + 2.50113i −0.547164 + 0.181451i
\(191\) −14.7172 3.35910i −1.06490 0.243056i −0.346044 0.938218i \(-0.612475\pi\)
−0.718853 + 0.695162i \(0.755333\pi\)
\(192\) 0.785481 7.96135i 0.0566872 0.574561i
\(193\) 3.27460 14.3470i 0.235711 1.03272i −0.709102 0.705106i \(-0.750899\pi\)
0.944813 0.327611i \(-0.106244\pi\)
\(194\) −1.92068 3.17095i −0.137897 0.227661i
\(195\) 5.69599 0.407899
\(196\) 10.8351 + 8.86566i 0.773938 + 0.633262i
\(197\) −22.6546 −1.61407 −0.807035 0.590503i \(-0.798929\pi\)
−0.807035 + 0.590503i \(0.798929\pi\)
\(198\) 2.34943 + 3.87880i 0.166967 + 0.275654i
\(199\) 2.59018 11.3483i 0.183613 0.804463i −0.796278 0.604931i \(-0.793201\pi\)
0.979891 0.199532i \(-0.0639421\pi\)
\(200\) 0.153606 0.378229i 0.0108616 0.0267448i
\(201\) −2.01056 0.458896i −0.141814 0.0323680i
\(202\) −21.8780 + 7.25522i −1.53933 + 0.510475i
\(203\) −4.44073 + 20.4048i −0.311678 + 1.43214i
\(204\) 4.07538 + 0.133644i 0.285334 + 0.00935693i
\(205\) −3.23678 1.55875i −0.226066 0.108868i
\(206\) −2.63570 7.94794i −0.183638 0.553759i
\(207\) −0.703852 1.46156i −0.0489211 0.101586i
\(208\) −5.08688 + 9.00176i −0.352712 + 0.624160i
\(209\) 3.54758 + 7.36663i 0.245391 + 0.509560i
\(210\) 5.86657 5.79333i 0.404832 0.399778i
\(211\) 10.9358 22.7084i 0.752851 1.56331i −0.0716359 0.997431i \(-0.522822\pi\)
0.824487 0.565881i \(-0.191464\pi\)
\(212\) −4.65851 10.5443i −0.319948 0.724184i
\(213\) 0.0808511 0.0644766i 0.00553983 0.00441787i
\(214\) 1.07333 + 11.1685i 0.0733714 + 0.763463i
\(215\) −15.6397 −1.06662
\(216\) 2.31804 + 1.62071i 0.157723 + 0.110275i
\(217\) 7.65222 + 9.39906i 0.519466 + 0.638050i
\(218\) −8.69184 + 13.3424i −0.588686 + 0.903664i
\(219\) 9.59411 + 7.65104i 0.648310 + 0.517010i
\(220\) 13.6672 + 3.59454i 0.921442 + 0.242344i
\(221\) −4.74817 2.28660i −0.319397 0.153813i
\(222\) −6.24074 + 9.57986i −0.418851 + 0.642958i
\(223\) −14.2264 + 17.8394i −0.952673 + 1.19461i 0.0281277 + 0.999604i \(0.491046\pi\)
−0.980801 + 0.195010i \(0.937526\pi\)
\(224\) 3.91637 + 14.4451i 0.261674 + 0.965156i
\(225\) 0.0899890 + 0.112843i 0.00599927 + 0.00752285i
\(226\) 10.7690 1.03494i 0.716345 0.0688432i
\(227\) −1.16707 −0.0774613 −0.0387307 0.999250i \(-0.512331\pi\)
−0.0387307 + 0.999250i \(0.512331\pi\)
\(228\) 3.88071 + 3.30855i 0.257007 + 0.219114i
\(229\) 27.0763 6.17998i 1.78925 0.408385i 0.806188 0.591660i \(-0.201527\pi\)
0.983062 + 0.183275i \(0.0586699\pi\)
\(230\) −4.74361 1.74764i −0.312784 0.115236i
\(231\) −6.68615 5.22232i −0.439916 0.343604i
\(232\) −16.5425 + 14.9907i −1.08607 + 0.984186i
\(233\) −8.73635 10.9550i −0.572337 0.717688i 0.408447 0.912782i \(-0.366070\pi\)
−0.980785 + 0.195093i \(0.937499\pi\)
\(234\) −1.89391 3.12676i −0.123809 0.204402i
\(235\) −18.5802 + 4.24081i −1.21204 + 0.276640i
\(236\) 21.0616 + 5.53930i 1.37099 + 0.360577i
\(237\) 0.354428 + 0.0808959i 0.0230226 + 0.00525475i
\(238\) −7.21604 + 2.47424i −0.467746 + 0.160381i
\(239\) −23.5092 + 5.36582i −1.52068 + 0.347086i −0.899620 0.436675i \(-0.856156\pi\)
−0.621063 + 0.783760i \(0.713299\pi\)
\(240\) 8.70328 1.39415i 0.561794 0.0899919i
\(241\) 11.0630 + 8.82245i 0.712631 + 0.568304i 0.911290 0.411764i \(-0.135087\pi\)
−0.198659 + 0.980069i \(0.563659\pi\)
\(242\) −0.130128 + 1.00638i −0.00836495 + 0.0646922i
\(243\) −0.900969 + 0.433884i −0.0577972 + 0.0278337i
\(244\) 2.45812 + 12.6708i 0.157365 + 0.811165i
\(245\) −6.41027 + 14.0298i −0.409537 + 0.896333i
\(246\) 0.220565 + 2.29508i 0.0140627 + 0.146329i
\(247\) −2.85976 5.93834i −0.181962 0.377848i
\(248\) 0.816114 + 12.9313i 0.0518233 + 0.821138i
\(249\) 2.05785 2.58047i 0.130411 0.163530i
\(250\) 15.8989 + 2.05579i 1.00554 + 0.130020i
\(251\) 1.51391 + 6.63289i 0.0955573 + 0.418664i 0.999968 0.00799895i \(-0.00254617\pi\)
−0.904411 + 0.426663i \(0.859689\pi\)
\(252\) −5.13082 1.29412i −0.323211 0.0815217i
\(253\) −1.15752 + 5.07141i −0.0727724 + 0.318837i
\(254\) −6.39347 + 17.3537i −0.401162 + 1.08887i
\(255\) 0.999694 + 4.37995i 0.0626033 + 0.274283i
\(256\) −5.56931 + 14.9994i −0.348082 + 0.937464i
\(257\) 8.50771 6.78467i 0.530696 0.423216i −0.321134 0.947034i \(-0.604064\pi\)
0.851831 + 0.523817i \(0.175493\pi\)
\(258\) 5.20016 + 8.58522i 0.323748 + 0.534493i
\(259\) 4.54861 20.9005i 0.282637 1.29870i
\(260\) −11.0173 2.89761i −0.683265 0.179702i
\(261\) −1.75632 7.69494i −0.108713 0.476305i
\(262\) 19.1859 + 19.8254i 1.18531 + 1.22482i
\(263\) 7.16551i 0.441844i 0.975291 + 0.220922i \(0.0709066\pi\)
−0.975291 + 0.220922i \(0.929093\pi\)
\(264\) −2.57114 8.69764i −0.158243 0.535303i
\(265\) 9.92987 7.91880i 0.609987 0.486448i
\(266\) −8.98522 3.20755i −0.550919 0.196668i
\(267\) −5.86713 4.67888i −0.359063 0.286343i
\(268\) 3.65542 + 1.91040i 0.223290 + 0.116696i
\(269\) −1.61263 + 3.34865i −0.0983236 + 0.204171i −0.944329 0.329004i \(-0.893287\pi\)
0.846005 + 0.533175i \(0.179001\pi\)
\(270\) −1.07732 + 2.92416i −0.0655636 + 0.177959i
\(271\) 4.80678 6.02751i 0.291991 0.366145i −0.614100 0.789228i \(-0.710481\pi\)
0.906091 + 0.423083i \(0.139052\pi\)
\(272\) −7.81471 2.33168i −0.473836 0.141379i
\(273\) 5.38980 + 4.20979i 0.326205 + 0.254788i
\(274\) 1.24412 + 1.28559i 0.0751600 + 0.0776651i
\(275\) 0.462816i 0.0279089i
\(276\) 0.617894 + 3.18504i 0.0371928 + 0.191717i
\(277\) −4.33368 5.43426i −0.260385 0.326513i 0.634404 0.773002i \(-0.281246\pi\)
−0.894789 + 0.446489i \(0.852674\pi\)
\(278\) −4.41641 13.3176i −0.264879 0.798739i
\(279\) −4.12734 1.98762i −0.247097 0.118996i
\(280\) −14.2944 + 8.22121i −0.854252 + 0.491311i
\(281\) 17.4236 8.39078i 1.03941 0.500552i 0.165278 0.986247i \(-0.447148\pi\)
0.874128 + 0.485695i \(0.161433\pi\)
\(282\) 8.50584 + 8.78935i 0.506516 + 0.523398i
\(283\) 0.736566 0.354711i 0.0437843 0.0210854i −0.411863 0.911246i \(-0.635122\pi\)
0.455648 + 0.890160i \(0.349408\pi\)
\(284\) −0.189184 + 0.0835823i −0.0112260 + 0.00495970i
\(285\) −2.43786 + 5.06226i −0.144406 + 0.299863i
\(286\) −1.50321 + 11.6254i −0.0888866 + 0.687425i
\(287\) −1.91074 3.86719i −0.112787 0.228273i
\(288\) −3.65913 4.31402i −0.215616 0.254206i
\(289\) −2.85791 + 12.5213i −0.168113 + 0.736549i
\(290\) −20.6091 13.4257i −1.21021 0.788383i
\(291\) −2.55572 0.583326i −0.149819 0.0341952i
\(292\) −14.6650 19.6794i −0.858202 1.15165i
\(293\) 3.02341i 0.176630i −0.996093 0.0883148i \(-0.971852\pi\)
0.996093 0.0883148i \(-0.0281481\pi\)
\(294\) 9.83293 1.14605i 0.573468 0.0668388i
\(295\) 23.9943i 1.39700i
\(296\) 16.9443 15.3548i 0.984870 0.892482i
\(297\) 3.12623 + 0.713542i 0.181402 + 0.0414039i
\(298\) 10.3457 15.8811i 0.599308 0.919969i
\(299\) 0.933090 4.08814i 0.0539620 0.236423i
\(300\) −0.116655 0.264041i −0.00673506 0.0152444i
\(301\) −14.7989 11.5589i −0.852996 0.666246i
\(302\) 24.6452 + 3.18672i 1.41817 + 0.183375i
\(303\) −7.07168 + 14.6845i −0.406258 + 0.843603i
\(304\) −5.82307 8.37363i −0.333976 0.480260i
\(305\) −12.8124 + 6.17013i −0.733637 + 0.353301i
\(306\) 2.07193 2.00510i 0.118444 0.114624i
\(307\) 19.6695 9.47234i 1.12260 0.540615i 0.221905 0.975068i \(-0.428773\pi\)
0.900694 + 0.434453i \(0.143058\pi\)
\(308\) 10.2758 + 13.5024i 0.585521 + 0.769373i
\(309\) −5.33464 2.56903i −0.303477 0.146147i
\(310\) −13.5501 + 4.49351i −0.769596 + 0.255214i
\(311\) 7.80404 + 9.78596i 0.442527 + 0.554911i 0.952207 0.305453i \(-0.0988079\pi\)
−0.509681 + 0.860364i \(0.670236\pi\)
\(312\) 2.07263 + 7.01129i 0.117340 + 0.396936i
\(313\) 5.07896i 0.287080i 0.989645 + 0.143540i \(0.0458485\pi\)
−0.989645 + 0.143540i \(0.954151\pi\)
\(314\) −19.7227 + 19.0866i −1.11302 + 1.07712i
\(315\) −0.0589387 5.82977i −0.00332082 0.328470i
\(316\) −0.644390 0.336772i −0.0362498 0.0189449i
\(317\) −7.44737 + 9.33870i −0.418286 + 0.524514i −0.945677 0.325109i \(-0.894599\pi\)
0.527391 + 0.849623i \(0.323170\pi\)
\(318\) −7.64861 2.81790i −0.428913 0.158020i
\(319\) −10.9813 + 22.8029i −0.614836 + 1.27672i
\(320\) −17.5433 1.73085i −0.980700 0.0967576i
\(321\) 6.20282 + 4.94659i 0.346208 + 0.276092i
\(322\) −3.19696 5.15960i −0.178160 0.287533i
\(323\) 4.06439 3.24124i 0.226149 0.180348i
\(324\) 1.96339 0.380896i 0.109077 0.0211609i
\(325\) 0.373083i 0.0206949i
\(326\) 10.2617 9.93067i 0.568341 0.550009i
\(327\) 2.50555 + 10.9775i 0.138557 + 0.607060i
\(328\) 0.740907 4.55139i 0.0409097 0.251308i
\(329\) −20.7157 9.71940i −1.14209 0.535848i
\(330\) 8.54716 5.17711i 0.470506 0.284990i
\(331\) 26.1697 20.8697i 1.43842 1.14710i 0.474711 0.880142i \(-0.342553\pi\)
0.963708 0.266959i \(-0.0860187\pi\)
\(332\) −5.29305 + 3.94434i −0.290494 + 0.216474i
\(333\) 1.79899 + 7.88187i 0.0985838 + 0.431924i
\(334\) 31.1887 + 11.4905i 1.70657 + 0.628734i
\(335\) −1.01120 + 4.43038i −0.0552480 + 0.242057i
\(336\) 9.26580 + 5.11320i 0.505491 + 0.278948i
\(337\) −3.31114 14.5071i −0.180369 0.790250i −0.981454 0.191699i \(-0.938600\pi\)
0.801084 0.598551i \(-0.204257\pi\)
\(338\) −1.14584 + 8.86158i −0.0623253 + 0.482007i
\(339\) 4.76966 5.98096i 0.259052 0.324841i
\(340\) 0.294492 8.98034i 0.0159711 0.487027i
\(341\) 6.37356 + 13.2348i 0.345147 + 0.716706i
\(342\) 3.58946 0.344959i 0.194096 0.0186533i
\(343\) −16.4348 + 8.53794i −0.887397 + 0.461005i
\(344\) −5.69088 19.2511i −0.306832 1.03795i
\(345\) −3.22064 + 1.55098i −0.173393 + 0.0835018i
\(346\) −26.1208 3.37752i −1.40426 0.181577i
\(347\) 21.9429 + 17.4989i 1.17796 + 0.939389i 0.999011 0.0444704i \(-0.0141600\pi\)
0.178945 + 0.983859i \(0.442731\pi\)
\(348\) −0.517380 + 15.7772i −0.0277345 + 0.845745i
\(349\) −16.5964 + 3.78802i −0.888385 + 0.202768i −0.642276 0.766474i \(-0.722010\pi\)
−0.246110 + 0.969242i \(0.579152\pi\)
\(350\) 0.379458 + 0.384255i 0.0202829 + 0.0205393i
\(351\) −2.52010 0.575196i −0.134513 0.0307017i
\(352\) 0.548576 + 18.1311i 0.0292392 + 0.966392i
\(353\) 7.86681 1.79555i 0.418708 0.0955674i −0.00797576 0.999968i \(-0.502539\pi\)
0.426684 + 0.904401i \(0.359682\pi\)
\(354\) 13.1714 7.97808i 0.700054 0.424030i
\(355\) −0.142078 0.178160i −0.00754072 0.00945576i
\(356\) 8.96815 + 12.0347i 0.475311 + 0.637836i
\(357\) −2.29117 + 4.88335i −0.121262 + 0.258454i
\(358\) −12.5019 + 33.9337i −0.660744 + 1.79345i
\(359\) −26.5145 + 6.05175i −1.39938 + 0.319399i −0.854647 0.519210i \(-0.826226\pi\)
−0.544733 + 0.838609i \(0.683369\pi\)
\(360\) 3.57133 5.10793i 0.188225 0.269212i
\(361\) −12.4984 −0.657810
\(362\) 0.740731 + 7.70765i 0.0389320 + 0.405105i
\(363\) 0.447378 + 0.560995i 0.0234813 + 0.0294446i
\(364\) −8.28350 10.8845i −0.434174 0.570503i
\(365\) 16.8595 21.1412i 0.882468 1.10658i
\(366\) 7.64714 + 4.98168i 0.399722 + 0.260396i
\(367\) −14.1314 6.80533i −0.737654 0.355235i 0.0270356 0.999634i \(-0.491393\pi\)
−0.764689 + 0.644399i \(0.777108\pi\)
\(368\) 0.425119 6.47491i 0.0221609 0.337528i
\(369\) 1.27465 + 1.01650i 0.0663557 + 0.0529169i
\(370\) 21.1098 + 13.7518i 1.09744 + 0.714923i
\(371\) 15.2487 0.154164i 0.791673 0.00800378i
\(372\) 6.97206 + 5.94411i 0.361484 + 0.308188i
\(373\) −13.8045 −0.714768 −0.357384 0.933957i \(-0.616331\pi\)
−0.357384 + 0.933957i \(0.616331\pi\)
\(374\) −9.20320 + 0.884459i −0.475886 + 0.0457343i
\(375\) 8.86271 7.06778i 0.457668 0.364978i
\(376\) −11.9810 21.3276i −0.617871 1.09988i
\(377\) 8.85220 18.3818i 0.455911 0.946709i
\(378\) −3.18059 + 1.97074i −0.163592 + 0.101364i
\(379\) 16.0780 + 33.3863i 0.825872 + 1.71494i 0.689503 + 0.724283i \(0.257829\pi\)
0.136369 + 0.990658i \(0.456457\pi\)
\(380\) 7.29058 8.55138i 0.373999 0.438677i
\(381\) 5.67401 + 11.7822i 0.290688 + 0.603620i
\(382\) 20.2633 6.71975i 1.03676 0.343812i
\(383\) −4.24407 2.04383i −0.216862 0.104435i 0.322299 0.946638i \(-0.395544\pi\)
−0.539161 + 0.842203i \(0.681259\pi\)
\(384\) 4.88298 + 10.2057i 0.249184 + 0.520808i
\(385\) −11.5077 + 14.7333i −0.586486 + 0.750879i
\(386\) 6.55071 + 19.7536i 0.333423 + 1.00543i
\(387\) 6.91951 + 1.57933i 0.351738 + 0.0802820i
\(388\) 4.64658 + 2.42840i 0.235895 + 0.123283i
\(389\) −3.29800 + 14.4495i −0.167215 + 0.732618i 0.819887 + 0.572526i \(0.194036\pi\)
−0.987102 + 0.160092i \(0.948821\pi\)
\(390\) −6.88999 + 4.17334i −0.348888 + 0.211325i
\(391\) 3.30734 0.167260
\(392\) −19.6021 2.78540i −0.990055 0.140684i
\(393\) 19.5083 0.984063
\(394\) 27.4034 16.5985i 1.38056 0.836222i
\(395\) 0.178259 0.781003i 0.00896918 0.0392965i
\(396\) −5.68384 2.97049i −0.285624 0.149273i
\(397\) 28.4558 + 6.49485i 1.42815 + 0.325967i 0.865576 0.500777i \(-0.166952\pi\)
0.562578 + 0.826744i \(0.309810\pi\)
\(398\) 5.18156 + 15.6250i 0.259728 + 0.783208i
\(399\) −6.04822 + 2.98837i −0.302790 + 0.149605i
\(400\) 0.0913155 + 0.570057i 0.00456578 + 0.0285029i
\(401\) −19.3244 9.30616i −0.965017 0.464728i −0.116090 0.993239i \(-0.537036\pi\)
−0.848926 + 0.528511i \(0.822750\pi\)
\(402\) 2.76823 0.918004i 0.138067 0.0457859i
\(403\) −5.13781 10.6688i −0.255933 0.531450i
\(404\) 21.1484 24.8057i 1.05217 1.23413i
\(405\) 0.956088 + 1.98534i 0.0475084 + 0.0986522i
\(406\) −9.57861 27.9357i −0.475378 1.38643i
\(407\) 11.2481 23.3569i 0.557547 1.15776i
\(408\) −5.02758 + 2.82429i −0.248902 + 0.139823i
\(409\) −18.7725 + 14.9706i −0.928241 + 0.740247i −0.965865 0.259045i \(-0.916592\pi\)
0.0376245 + 0.999292i \(0.488021\pi\)
\(410\) 5.05733 0.486027i 0.249764 0.0240032i
\(411\) 1.26502 0.0623990
\(412\) 9.01149 + 7.68286i 0.443964 + 0.378507i
\(413\) −17.7337 + 22.7045i −0.872619 + 1.11721i
\(414\) 1.92225 + 1.25224i 0.0944735 + 0.0615441i
\(415\) −5.68621 4.53460i −0.279125 0.222595i
\(416\) −0.442215 14.6158i −0.0216814 0.716597i
\(417\) −8.93878 4.30469i −0.437734 0.210802i
\(418\) −9.68861 6.31158i −0.473885 0.308709i
\(419\) 8.05131 10.0960i 0.393332 0.493223i −0.545253 0.838272i \(-0.683566\pi\)
0.938585 + 0.345049i \(0.112138\pi\)
\(420\) −2.85166 + 11.3060i −0.139147 + 0.551679i
\(421\) −21.1749 26.5525i −1.03200 1.29409i −0.954855 0.297072i \(-0.903990\pi\)
−0.0771485 0.997020i \(-0.524582\pi\)
\(422\) 3.40984 + 35.4810i 0.165989 + 1.72719i
\(423\) 8.64876 0.420517
\(424\) 13.3606 + 9.34137i 0.648849 + 0.453657i
\(425\) −0.286883 + 0.0654791i −0.0139159 + 0.00317620i
\(426\) −0.0505584 + 0.137230i −0.00244956 + 0.00664883i
\(427\) −16.6839 3.63093i −0.807389 0.175713i
\(428\) −9.48126 12.7232i −0.458294 0.615001i
\(429\) 5.16801 + 6.48047i 0.249514 + 0.312880i
\(430\) 18.9180 11.4589i 0.912309 0.552595i
\(431\) 9.23025 2.10675i 0.444606 0.101478i 0.00564389 0.999984i \(-0.498203\pi\)
0.438962 + 0.898506i \(0.355346\pi\)
\(432\) −3.99141 0.262062i −0.192037 0.0126084i
\(433\) 23.0647 + 5.26437i 1.10842 + 0.252989i 0.737279 0.675588i \(-0.236110\pi\)
0.371139 + 0.928577i \(0.378967\pi\)
\(434\) −16.1428 5.76266i −0.774878 0.276617i
\(435\) −16.9562 + 3.87015i −0.812990 + 0.185560i
\(436\) 0.738090 22.5076i 0.0353481 1.07792i
\(437\) 3.23394 + 2.57898i 0.154700 + 0.123369i
\(438\) −17.2110 2.22545i −0.822373 0.106336i
\(439\) −14.7104 + 7.08414i −0.702087 + 0.338107i −0.750638 0.660713i \(-0.770254\pi\)
0.0485511 + 0.998821i \(0.484540\pi\)
\(440\) −19.1658 + 5.66565i −0.913692 + 0.270099i
\(441\) 4.25289 5.55994i 0.202518 0.264759i
\(442\) 7.41883 0.712975i 0.352878 0.0339128i
\(443\) −7.59971 15.7810i −0.361073 0.749776i 0.638734 0.769428i \(-0.279458\pi\)
−0.999807 + 0.0196519i \(0.993744\pi\)
\(444\) 0.529948 16.1604i 0.0251502 0.766941i
\(445\) −10.3102 + 12.9286i −0.488750 + 0.612873i
\(446\) 4.13802 32.0023i 0.195941 1.51535i
\(447\) −2.98229 13.0663i −0.141057 0.618013i
\(448\) −15.3210 14.6037i −0.723849 0.689959i
\(449\) 5.97583 26.1818i 0.282017 1.23560i −0.613186 0.789939i \(-0.710112\pi\)
0.895203 0.445659i \(-0.147030\pi\)
\(450\) −0.191530 0.0705636i −0.00902882 0.00332640i
\(451\) −1.16332 5.09682i −0.0547784 0.240000i
\(452\) −12.2682 + 9.14214i −0.577045 + 0.430010i
\(453\) 13.7382 10.9559i 0.645479 0.514753i
\(454\) 1.41171 0.855091i 0.0662550 0.0401314i
\(455\) 9.27651 11.8767i 0.434890 0.556790i
\(456\) −7.11830 1.15877i −0.333345 0.0542642i
\(457\) −0.694941 3.04473i −0.0325080 0.142427i 0.956070 0.293140i \(-0.0947002\pi\)
−0.988578 + 0.150713i \(0.951843\pi\)
\(458\) −28.2240 + 27.3137i −1.31882 + 1.27628i
\(459\) 2.03879i 0.0951624i
\(460\) 7.01843 1.36156i 0.327236 0.0634833i
\(461\) 3.81082 3.03903i 0.177488 0.141542i −0.530717 0.847549i \(-0.678077\pi\)
0.708204 + 0.706008i \(0.249506\pi\)
\(462\) 11.9140 + 1.41822i 0.554289 + 0.0659816i
\(463\) 1.77038 + 1.41183i 0.0822766 + 0.0656134i 0.663764 0.747942i \(-0.268958\pi\)
−0.581488 + 0.813555i \(0.697529\pi\)
\(464\) 9.02673 30.2534i 0.419055 1.40448i
\(465\) −4.37984 + 9.09482i −0.203110 + 0.421762i
\(466\) 18.5942 + 6.85048i 0.861360 + 0.317342i
\(467\) 17.2153 21.5873i 0.796628 0.998940i −0.203176 0.979142i \(-0.565126\pi\)
0.999804 0.0197981i \(-0.00630235\pi\)
\(468\) 4.58182 + 2.39456i 0.211795 + 0.110688i
\(469\) −4.23124 + 3.44486i −0.195381 + 0.159069i
\(470\) 19.3678 18.7431i 0.893372 0.864556i
\(471\) 19.4072i 0.894239i
\(472\) −29.5350 + 8.73094i −1.35946 + 0.401874i
\(473\) −14.1899 17.7936i −0.652454 0.818152i
\(474\) −0.487994 + 0.161829i −0.0224143 + 0.00743306i
\(475\) −0.331574 0.159678i −0.0152137 0.00732651i
\(476\) 6.91584 8.27994i 0.316987 0.379510i
\(477\) −5.19297 + 2.50080i −0.237770 + 0.114504i
\(478\) 24.5057 23.7153i 1.12087 1.08471i
\(479\) −27.4238 + 13.2066i −1.25303 + 0.603425i −0.938321 0.345765i \(-0.887619\pi\)
−0.314704 + 0.949190i \(0.601905\pi\)
\(480\) −9.50619 + 8.06311i −0.433896 + 0.368029i
\(481\) −9.06724 + 18.8283i −0.413431 + 0.858498i
\(482\) −19.8461 2.56617i −0.903964 0.116886i
\(483\) −4.19380 0.912703i −0.190825 0.0415294i
\(484\) −0.579945 1.31267i −0.0263611 0.0596670i
\(485\) −1.28539 + 5.63168i −0.0583667 + 0.255721i
\(486\) 0.771932 1.18496i 0.0350155 0.0537507i
\(487\) −33.0546 7.54450i −1.49785 0.341874i −0.606460 0.795114i \(-0.707411\pi\)
−0.891389 + 0.453240i \(0.850268\pi\)
\(488\) −12.2570 13.5258i −0.554850 0.612286i
\(489\) 10.0975i 0.456626i
\(490\) −2.52538 21.6674i −0.114085 0.978835i
\(491\) 9.28098i 0.418845i −0.977825 0.209422i \(-0.932842\pi\)
0.977825 0.209422i \(-0.0671584\pi\)
\(492\) −1.94836 2.61457i −0.0878386 0.117874i
\(493\) 15.6883 + 3.58076i 0.706567 + 0.161269i
\(494\) 7.81012 + 5.08785i 0.351394 + 0.228913i
\(495\) 1.57233 6.88883i 0.0706710 0.309630i
\(496\) −10.4617 15.0440i −0.469743 0.675495i
\(497\) −0.00276598 0.273590i −0.000124071 0.0122722i
\(498\) −0.598564 + 4.62913i −0.0268223 + 0.207436i
\(499\) 5.26617 10.9353i 0.235746 0.489532i −0.749211 0.662332i \(-0.769567\pi\)
0.984957 + 0.172799i \(0.0552812\pi\)
\(500\) −20.7379 + 9.16210i −0.927427 + 0.409742i
\(501\) 21.1753 10.1975i 0.946043 0.455590i
\(502\) −6.69104 6.91406i −0.298636 0.308589i
\(503\) 9.31172 4.48429i 0.415189 0.199944i −0.214615 0.976699i \(-0.568850\pi\)
0.629804 + 0.776754i \(0.283135\pi\)
\(504\) 7.15451 2.19386i 0.318687 0.0977221i
\(505\) 32.3582 + 15.5829i 1.43992 + 0.693429i
\(506\) −2.31557 6.98257i −0.102939 0.310413i
\(507\) 3.93937 + 4.93981i 0.174953 + 0.219385i
\(508\) −4.98107 25.6758i −0.220999 1.13918i
\(509\) 9.54171i 0.422929i −0.977386 0.211464i \(-0.932177\pi\)
0.977386 0.211464i \(-0.0678232\pi\)
\(510\) −4.41835 4.56561i −0.195648 0.202169i
\(511\) 31.5782 7.54418i 1.39694 0.333735i
\(512\) −4.25303 22.2241i −0.187959 0.982177i
\(513\) 1.58979 1.99353i 0.0701910 0.0880167i
\(514\) −5.32010 + 14.4403i −0.234660 + 0.636935i
\(515\) −5.66100 + 11.7552i −0.249454 + 0.517996i
\(516\) −12.5804 6.57480i −0.553823 0.289439i
\(517\) −21.6828 17.2915i −0.953608 0.760477i
\(518\) 9.81131 + 28.6144i 0.431084 + 1.25724i
\(519\) −14.5608 + 11.6119i −0.639148 + 0.509704i
\(520\) 15.4498 4.56716i 0.677518 0.200283i
\(521\) 34.6145i 1.51649i 0.651970 + 0.758245i \(0.273943\pi\)
−0.651970 + 0.758245i \(0.726057\pi\)
\(522\) 7.76240 + 8.02113i 0.339751 + 0.351075i
\(523\) 6.86359 + 30.0714i 0.300124 + 1.31493i 0.869940 + 0.493157i \(0.164157\pi\)
−0.569816 + 0.821772i \(0.692986\pi\)
\(524\) −37.7334 9.92406i −1.64839 0.433535i
\(525\) 0.381845 0.00386044i 0.0166651 0.000168483i
\(526\) −5.25002 8.66754i −0.228912 0.377923i
\(527\) 7.30205 5.82319i 0.318082 0.253662i
\(528\) 9.48269 + 8.63702i 0.412681 + 0.375878i
\(529\) −4.53240 19.8577i −0.197061 0.863380i
\(530\) −6.20942 + 16.8542i −0.269720 + 0.732098i
\(531\) 2.42301 10.6159i 0.105150 0.460691i
\(532\) 13.2188 2.70337i 0.573108 0.117206i
\(533\) 0.937766 + 4.10862i 0.0406191 + 0.177964i
\(534\) 10.5251 + 1.36094i 0.455467 + 0.0588936i
\(535\) 10.9001 13.6683i 0.471252 0.590931i
\(536\) −5.82137 + 0.367396i −0.251445 + 0.0158691i
\(537\) 11.0950 + 23.0390i 0.478785 + 0.994208i
\(538\) −0.502826 5.23214i −0.0216784 0.225573i
\(539\) −21.7782 + 5.43621i −0.938052 + 0.234154i
\(540\) −0.839326 4.32645i −0.0361188 0.186181i
\(541\) 24.5831 11.8386i 1.05691 0.508982i 0.177045 0.984203i \(-0.443346\pi\)
0.879867 + 0.475221i \(0.157632\pi\)
\(542\) −1.39814 + 10.8128i −0.0600552 + 0.464451i
\(543\) 4.28071 + 3.41376i 0.183703 + 0.146498i
\(544\) 11.1612 2.90523i 0.478533 0.124561i
\(545\) 24.1897 5.52113i 1.03617 0.236499i
\(546\) −9.60403 1.14325i −0.411015 0.0489265i
\(547\) 41.9056 + 9.56467i 1.79175 + 0.408956i 0.983651 0.180086i \(-0.0576377\pi\)
0.808102 + 0.589042i \(0.200495\pi\)
\(548\) −2.44684 0.643530i −0.104524 0.0274902i
\(549\) 6.29172 1.43604i 0.268524 0.0612888i
\(550\) 0.339096 + 0.559832i 0.0144591 + 0.0238713i
\(551\) 12.5479 + 15.7346i 0.534560 + 0.670317i
\(552\) −3.08103 3.39997i −0.131137 0.144712i
\(553\) 0.745899 0.607272i 0.0317189 0.0258238i
\(554\) 9.22367 + 3.39819i 0.391876 + 0.144375i
\(555\) 17.3682 3.96417i 0.737237 0.168270i
\(556\) 15.0997 + 12.8735i 0.640372 + 0.545957i
\(557\) 9.44242 0.400088 0.200044 0.979787i \(-0.435891\pi\)
0.200044 + 0.979787i \(0.435891\pi\)
\(558\) 6.44880 0.619751i 0.272999 0.0262362i
\(559\) 11.4387 + 14.3437i 0.483806 + 0.606673i
\(560\) 11.2672 20.4177i 0.476128 0.862807i
\(561\) −4.07615 + 5.11132i −0.172095 + 0.215800i
\(562\) −14.9282 + 22.9156i −0.629709 + 0.966636i
\(563\) −6.69933 3.22623i −0.282343 0.135969i 0.287353 0.957825i \(-0.407225\pi\)
−0.569696 + 0.821856i \(0.692939\pi\)
\(564\) −16.7286 4.39971i −0.704402 0.185261i
\(565\) −13.1794 10.5102i −0.554462 0.442168i
\(566\) −0.631075 + 0.968733i −0.0265260 + 0.0407189i
\(567\) −0.562629 + 2.58524i −0.0236282 + 0.108570i
\(568\) 0.167602 0.239714i 0.00703241 0.0100582i
\(569\) 23.6500 0.991458 0.495729 0.868477i \(-0.334901\pi\)
0.495729 + 0.868477i \(0.334901\pi\)
\(570\) −0.760138 7.90958i −0.0318387 0.331296i
\(571\) 13.8318 11.0305i 0.578842 0.461611i −0.289775 0.957095i \(-0.593581\pi\)
0.868617 + 0.495484i \(0.165009\pi\)
\(572\) −6.69939 15.1637i −0.280115 0.634026i
\(573\) 6.54976 13.6007i 0.273620 0.568178i
\(574\) 5.14468 + 3.27787i 0.214735 + 0.136816i
\(575\) −0.101588 0.210949i −0.00423650 0.00879719i
\(576\) 7.58695 + 2.53735i 0.316123 + 0.105723i
\(577\) 7.25953 + 15.0746i 0.302218 + 0.627563i 0.995672 0.0929387i \(-0.0296261\pi\)
−0.693454 + 0.720501i \(0.743912\pi\)
\(578\) −5.71714 17.2400i −0.237802 0.717089i
\(579\) 13.2586 + 6.38500i 0.551008 + 0.265352i
\(580\) 34.7659 + 1.14008i 1.44358 + 0.0473391i
\(581\) −2.02911 8.49339i −0.0841817 0.352365i
\(582\) 3.51884 1.16692i 0.145861 0.0483704i
\(583\) 18.0188 + 4.11268i 0.746264 + 0.170330i
\(584\) 32.1578 + 13.0599i 1.33070 + 0.540423i
\(585\) −1.26748 + 5.55318i −0.0524038 + 0.229596i
\(586\) 2.21519 + 3.65718i 0.0915088 + 0.151077i
\(587\) −19.1229 −0.789286 −0.394643 0.918835i \(-0.629132\pi\)
−0.394643 + 0.918835i \(0.629132\pi\)
\(588\) −11.0544 + 8.59067i −0.455877 + 0.354273i
\(589\) 11.6807 0.481297
\(590\) −17.5802 29.0240i −0.723764 1.19490i
\(591\) 5.04111 22.0866i 0.207364 0.908520i
\(592\) −9.24602 + 30.9883i −0.380009 + 1.27361i
\(593\) −17.8305 4.06970i −0.732212 0.167123i −0.159871 0.987138i \(-0.551108\pi\)
−0.572342 + 0.820015i \(0.693965\pi\)
\(594\) −4.30435 + 1.42741i −0.176610 + 0.0585674i
\(595\) 10.7607 + 5.04873i 0.441147 + 0.206978i
\(596\) −0.878528 + 26.7902i −0.0359859 + 1.09737i
\(597\) 10.4874 + 5.05049i 0.429223 + 0.206703i
\(598\) 1.86661 + 5.62875i 0.0763314 + 0.230177i
\(599\) 9.80601 + 20.3624i 0.400663 + 0.831985i 0.999515 + 0.0311257i \(0.00990922\pi\)
−0.598853 + 0.800859i \(0.704376\pi\)
\(600\) 0.334565 + 0.233919i 0.0136586 + 0.00954970i
\(601\) −7.43572 15.4404i −0.303309 0.629829i 0.692486 0.721431i \(-0.256515\pi\)
−0.995796 + 0.0916025i \(0.970801\pi\)
\(602\) 26.3701 + 3.13905i 1.07476 + 0.127938i
\(603\) 0.894782 1.85803i 0.0364383 0.0756650i
\(604\) −32.1462 + 14.2023i −1.30801 + 0.577885i
\(605\) 1.23618 0.985824i 0.0502580 0.0400794i
\(606\) −2.20499 22.9439i −0.0895716 0.932034i
\(607\) −45.0724 −1.82943 −0.914717 0.404096i \(-0.867586\pi\)
−0.914717 + 0.404096i \(0.867586\pi\)
\(608\) 13.1789 + 5.86246i 0.534475 + 0.237754i
\(609\) −18.9051 8.86989i −0.766072 0.359426i
\(610\) 10.9774 16.8509i 0.444463 0.682274i
\(611\) 17.4788 + 13.9389i 0.707117 + 0.563907i
\(612\) −1.03715 + 3.94347i −0.0419243 + 0.159405i
\(613\) −36.7931 17.7186i −1.48606 0.715649i −0.497639 0.867384i \(-0.665800\pi\)
−0.988421 + 0.151735i \(0.951514\pi\)
\(614\) −16.8524 + 25.8694i −0.680109 + 1.04400i
\(615\) 2.23992 2.80877i 0.0903223 0.113261i
\(616\) −22.3228 8.80392i −0.899413 0.354720i
\(617\) 15.3144 + 19.2036i 0.616533 + 0.773108i 0.987852 0.155397i \(-0.0496658\pi\)
−0.371319 + 0.928505i \(0.621094\pi\)
\(618\) 8.33517 0.801038i 0.335290 0.0322225i
\(619\) −18.3946 −0.739343 −0.369672 0.929163i \(-0.620530\pi\)
−0.369672 + 0.929163i \(0.620530\pi\)
\(620\) 13.0982 15.3633i 0.526036 0.617007i
\(621\) 1.58154 0.360976i 0.0634650 0.0144855i
\(622\) −16.6099 6.11942i −0.665996 0.245367i
\(623\) −19.3112 + 4.61353i −0.773686 + 0.184837i
\(624\) −7.64413 6.96242i −0.306010 0.278720i
\(625\) −15.1243 18.9653i −0.604972 0.758611i
\(626\) −3.72125 6.14361i −0.148731 0.245548i
\(627\) −7.97134 + 1.81941i −0.318345 + 0.0726601i
\(628\) 9.87266 37.5379i 0.393962 1.49793i
\(629\) −16.0695 3.66775i −0.640731 0.146243i
\(630\) 4.34265 + 7.00862i 0.173015 + 0.279230i
\(631\) −25.7096 + 5.86805i −1.02348 + 0.233604i −0.701143 0.713020i \(-0.747327\pi\)
−0.322340 + 0.946624i \(0.604470\pi\)
\(632\) 1.02621 0.0647659i 0.0408206 0.00257625i
\(633\) 19.7056 + 15.7147i 0.783228 + 0.624604i
\(634\) 2.16620 16.7528i 0.0860309 0.665339i
\(635\) 25.9628 12.5030i 1.03030 0.496167i
\(636\) 11.3165 2.19539i 0.448730 0.0870529i
\(637\) 17.5557 4.38221i 0.695581 0.173629i
\(638\) −3.42404 35.6287i −0.135559 1.41055i
\(639\) 0.0448690 + 0.0931714i 0.00177499 + 0.00368581i
\(640\) 22.4889 10.7599i 0.888951 0.425324i
\(641\) 7.14389 8.95815i 0.282167 0.353826i −0.620469 0.784231i \(-0.713058\pi\)
0.902636 + 0.430405i \(0.141629\pi\)
\(642\) −11.1273 1.43881i −0.439160 0.0567851i
\(643\) 7.30838 + 32.0201i 0.288214 + 1.26275i 0.886973 + 0.461821i \(0.152804\pi\)
−0.598759 + 0.800929i \(0.704339\pi\)
\(644\) 7.64744 + 3.89880i 0.301352 + 0.153634i
\(645\) 3.48015 15.2475i 0.137031 0.600371i
\(646\) −2.54157 + 6.89857i −0.0999969 + 0.271421i
\(647\) 10.3654 + 45.4139i 0.407507 + 1.78541i 0.595628 + 0.803260i \(0.296903\pi\)
−0.188121 + 0.982146i \(0.560240\pi\)
\(648\) −2.09589 + 1.89928i −0.0823342 + 0.0746107i
\(649\) −27.2990 + 21.7702i −1.07158 + 0.854555i
\(650\) −0.273350 0.451288i −0.0107217 0.0177010i
\(651\) −10.8662 + 5.36887i −0.425879 + 0.210423i
\(652\) −5.13671 + 19.5308i −0.201169 + 0.764887i
\(653\) 4.09957 + 17.9614i 0.160429 + 0.702884i 0.989595 + 0.143882i \(0.0459584\pi\)
−0.829166 + 0.559002i \(0.811184\pi\)
\(654\) −11.0738 11.4429i −0.433020 0.447452i
\(655\) 42.9877i 1.67967i
\(656\) 2.43850 + 6.04830i 0.0952073 + 0.236146i
\(657\) −9.59411 + 7.65104i −0.374302 + 0.298496i
\(658\) 32.1793 3.42120i 1.25448 0.133372i
\(659\) −0.569857 0.454446i −0.0221985 0.0177027i 0.612328 0.790604i \(-0.290233\pi\)
−0.634526 + 0.772901i \(0.718805\pi\)
\(660\) −6.54565 + 12.5247i −0.254789 + 0.487522i
\(661\) 2.06935 4.29706i 0.0804885 0.167136i −0.856841 0.515581i \(-0.827576\pi\)
0.937329 + 0.348445i \(0.113290\pi\)
\(662\) −16.3646 + 44.4184i −0.636030 + 1.72637i
\(663\) 3.28584 4.12031i 0.127611 0.160020i
\(664\) 3.51264 8.64927i 0.136317 0.335657i
\(665\) 6.58504 + 13.3276i 0.255357 + 0.516822i
\(666\) −7.95098 8.21599i −0.308094 0.318363i
\(667\) 12.8038i 0.495767i
\(668\) −46.1453 + 8.95212i −1.78542 + 0.346368i
\(669\) −14.2264 17.8394i −0.550026 0.689711i
\(670\) −2.02288 6.09996i −0.0781505 0.235662i
\(671\) −18.6447 8.97881i −0.719770 0.346623i
\(672\) −14.9544 + 0.603836i −0.576880 + 0.0232935i
\(673\) −9.94978 + 4.79156i −0.383536 + 0.184701i −0.615710 0.787973i \(-0.711131\pi\)
0.232174 + 0.972674i \(0.425416\pi\)
\(674\) 14.6343 + 15.1220i 0.563691 + 0.582479i
\(675\) −0.130038 + 0.0626230i −0.00500516 + 0.00241036i
\(676\) −5.10668 11.5587i −0.196411 0.444565i
\(677\) −9.18042 + 19.0633i −0.352832 + 0.732663i −0.999548 0.0300677i \(-0.990428\pi\)
0.646716 + 0.762731i \(0.276142\pi\)
\(678\) −1.38734 + 10.7293i −0.0532806 + 0.412057i
\(679\) −5.37855 + 4.37893i −0.206410 + 0.168048i
\(680\) 6.22349 + 11.0786i 0.238660 + 0.424844i
\(681\) 0.259698 1.13781i 0.00995165 0.0436010i
\(682\) −17.4065 11.3393i −0.666528 0.434205i
\(683\) −0.492527 0.112416i −0.0188460 0.00430148i 0.213088 0.977033i \(-0.431648\pi\)
−0.231934 + 0.972732i \(0.574505\pi\)
\(684\) −4.08914 + 3.04720i −0.156352 + 0.116512i
\(685\) 2.78755i 0.106507i
\(686\) 13.6243 22.3691i 0.520179 0.854057i
\(687\) 27.7726i 1.05959i
\(688\) 20.9887 + 19.1169i 0.800187 + 0.728826i
\(689\) −14.5252 3.31529i −0.553368 0.126303i
\(690\) 2.75938 4.23579i 0.105048 0.161254i
\(691\) −3.84688 + 16.8543i −0.146342 + 0.641168i 0.847541 + 0.530730i \(0.178082\pi\)
−0.993883 + 0.110437i \(0.964775\pi\)
\(692\) 34.0709 15.0527i 1.29518 0.572217i
\(693\) 6.57920 5.35644i 0.249923 0.203474i
\(694\) −39.3636 5.08987i −1.49422 0.193209i
\(695\) −9.48564 + 19.6971i −0.359811 + 0.747155i
\(696\) −10.9338 19.4635i −0.414444 0.737760i
\(697\) −2.99475 + 1.44219i −0.113434 + 0.0546270i
\(698\) 17.2999 16.7419i 0.654812 0.633691i
\(699\) 12.6244 6.07959i 0.477498 0.229951i
\(700\) −0.740537 0.186781i −0.0279897 0.00705967i
\(701\) 3.83714 + 1.84787i 0.144927 + 0.0697930i 0.504941 0.863154i \(-0.331514\pi\)
−0.360015 + 0.932947i \(0.617228\pi\)
\(702\) 3.46980 1.15066i 0.130959 0.0434288i
\(703\) −12.8528 16.1169i −0.484751 0.607859i
\(704\) −13.9479 21.5298i −0.525681 0.811436i
\(705\) 19.0580i 0.717767i
\(706\) −8.20029 + 7.93579i −0.308622 + 0.298667i
\(707\) 19.1017 + 38.6604i 0.718394 + 1.45397i
\(708\) −10.0871 + 19.3009i −0.379095 + 0.725372i
\(709\) −29.0010 + 36.3661i −1.08915 + 1.36576i −0.163870 + 0.986482i \(0.552398\pi\)
−0.925284 + 0.379274i \(0.876174\pi\)
\(710\) 0.302395 + 0.111408i 0.0113487 + 0.00418108i
\(711\) −0.157735 + 0.327541i −0.00591554 + 0.0122837i
\(712\) −19.6656 7.98659i −0.737000 0.299310i
\(713\) 5.81006 + 4.63337i 0.217589 + 0.173521i
\(714\) −0.806485 7.58569i −0.0301819 0.283887i
\(715\) 14.2801 11.3880i 0.534046 0.425887i
\(716\) −9.74003 50.2067i −0.364002 1.87631i
\(717\) 24.1138i 0.900545i
\(718\) 27.6384 26.7469i 1.03146 0.998187i
\(719\) 5.94251 + 26.0358i 0.221618 + 0.970973i 0.956260 + 0.292518i \(0.0944931\pi\)
−0.734642 + 0.678455i \(0.762650\pi\)
\(720\) −0.577468 + 8.79530i −0.0215210 + 0.327781i
\(721\) −14.0447 + 6.93935i −0.523052 + 0.258435i
\(722\) 15.1183 9.15732i 0.562645 0.340800i
\(723\) −11.0630 + 8.82245i −0.411438 + 0.328111i
\(724\) −6.54324 8.78060i −0.243178 0.326329i
\(725\) −0.253492 1.11062i −0.00941444 0.0412474i
\(726\) −0.952187 0.350805i −0.0353390 0.0130196i
\(727\) −6.98601 + 30.6077i −0.259097 + 1.13518i 0.663123 + 0.748511i \(0.269231\pi\)
−0.922220 + 0.386667i \(0.873626\pi\)
\(728\) 17.9948 + 7.09696i 0.666930 + 0.263031i
\(729\) −0.222521 0.974928i −0.00824152 0.0361084i
\(730\) −4.90390 + 37.9254i −0.181501 + 1.40368i
\(731\) −9.02202 + 11.3133i −0.333691 + 0.418436i
\(732\) −12.9001 0.423032i −0.476802 0.0156357i
\(733\) −17.8611 37.0890i −0.659715 1.36991i −0.915161 0.403089i \(-0.867936\pi\)
0.255446 0.966823i \(-0.417778\pi\)
\(734\) 22.0798 2.12194i 0.814979 0.0783222i
\(735\) −12.2517 9.37149i −0.451909 0.345672i
\(736\) 4.22980 + 8.14365i 0.155913 + 0.300179i
\(737\) −5.95802 + 2.86923i −0.219467 + 0.105689i
\(738\) −2.28661 0.295668i −0.0841714 0.0108837i
\(739\) 10.3354 + 8.24219i 0.380193 + 0.303194i 0.794876 0.606772i \(-0.207536\pi\)
−0.414683 + 0.909966i \(0.636107\pi\)
\(740\) −35.6105 1.16777i −1.30907 0.0429281i
\(741\) 6.42581 1.46665i 0.236058 0.0538787i
\(742\) −18.3322 + 11.3589i −0.672995 + 0.416998i
\(743\) 20.8168 + 4.75131i 0.763696 + 0.174309i 0.586591 0.809883i \(-0.300470\pi\)
0.177105 + 0.984192i \(0.443327\pi\)
\(744\) −12.7887 2.08183i −0.468856 0.0763236i
\(745\) −28.7923 + 6.57165i −1.05487 + 0.240767i
\(746\) 16.6982 10.1143i 0.611363 0.370309i
\(747\) 2.05785 + 2.58047i 0.0752929 + 0.0944143i
\(748\) 10.4844 7.81286i 0.383346 0.285666i
\(749\) 20.4161 4.87750i 0.745987 0.178220i
\(750\) −5.54209 + 15.0429i −0.202369 + 0.549287i
\(751\) 46.4547 10.6030i 1.69516 0.386908i 0.737619 0.675217i \(-0.235950\pi\)
0.957537 + 0.288309i \(0.0930931\pi\)
\(752\) 30.1187 + 17.0200i 1.09832 + 0.620656i
\(753\) −6.80346 −0.247932
\(754\) 2.76016 + 28.7208i 0.100519 + 1.04595i
\(755\) −24.1419 30.2730i −0.878615 1.10175i
\(756\) 2.40338 4.71421i 0.0874102 0.171454i
\(757\) −2.36416 + 2.96456i −0.0859269 + 0.107749i −0.822937 0.568133i \(-0.807666\pi\)
0.737010 + 0.675882i \(0.236237\pi\)
\(758\) −43.9098 28.6047i −1.59488 1.03897i
\(759\) −4.68669 2.25699i −0.170116 0.0819235i
\(760\) −2.55341 + 15.6856i −0.0926219 + 0.568976i
\(761\) 8.88343 + 7.08430i 0.322024 + 0.256806i 0.771137 0.636670i \(-0.219688\pi\)
−0.449113 + 0.893475i \(0.648260\pi\)
\(762\) −15.4960 10.0947i −0.561360 0.365694i
\(763\) 26.9699 + 12.6537i 0.976375 + 0.458096i
\(764\) −19.5875 + 22.9749i −0.708651 + 0.831202i
\(765\) −4.49258 −0.162430
\(766\) 6.63118 0.637279i 0.239594 0.0230258i
\(767\) 22.0061 17.5493i 0.794593 0.633667i
\(768\) −13.3841 8.76736i −0.482956 0.316365i
\(769\) −6.14073 + 12.7514i −0.221440 + 0.459826i −0.981860 0.189606i \(-0.939279\pi\)
0.760420 + 0.649432i \(0.224993\pi\)
\(770\) 3.12513 26.2532i 0.112622 0.946098i
\(771\) 4.72142 + 9.80414i 0.170038 + 0.353087i
\(772\) −22.3969 19.0948i −0.806084 0.687237i
\(773\)