Properties

Label 576.2.bm.a.205.6
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.6
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39740 - 0.217400i) q^{2} +(-0.276947 + 1.70977i) q^{3} +(1.90547 + 0.607592i) q^{4} +(-2.27520 - 2.59437i) q^{5} +(0.758710 - 2.32903i) q^{6} +(0.285082 + 0.0375318i) q^{7} +(-2.53063 - 1.26330i) q^{8} +(-2.84660 - 0.947029i) q^{9} +O(q^{10})\) \(q+(-1.39740 - 0.217400i) q^{2} +(-0.276947 + 1.70977i) q^{3} +(1.90547 + 0.607592i) q^{4} +(-2.27520 - 2.59437i) q^{5} +(0.758710 - 2.32903i) q^{6} +(0.285082 + 0.0375318i) q^{7} +(-2.53063 - 1.26330i) q^{8} +(-2.84660 - 0.947029i) q^{9} +(2.61536 + 4.12001i) q^{10} +(-1.17876 - 2.39028i) q^{11} +(-1.56656 + 3.08964i) q^{12} +(1.68989 + 4.97825i) q^{13} +(-0.390216 - 0.114424i) q^{14} +(5.06587 - 3.17156i) q^{15} +(3.26166 + 2.31550i) q^{16} +(3.89659 + 3.89659i) q^{17} +(3.77197 + 1.94223i) q^{18} +(0.919464 - 4.62246i) q^{19} +(-2.75902 - 6.32590i) q^{20} +(-0.143123 + 0.477030i) q^{21} +(1.12755 + 3.59645i) q^{22} +(0.838261 + 6.36723i) q^{23} +(2.86080 - 3.97691i) q^{24} +(-0.901582 + 6.84819i) q^{25} +(-1.27918 - 7.32400i) q^{26} +(2.40756 - 4.60474i) q^{27} +(0.520413 + 0.244729i) q^{28} +(8.30116 - 0.544087i) q^{29} +(-7.76857 + 3.33062i) q^{30} +(-4.64561 + 2.68214i) q^{31} +(-4.05447 - 3.94478i) q^{32} +(4.41328 - 1.35342i) q^{33} +(-4.59799 - 6.29223i) q^{34} +(-0.551248 - 0.825001i) q^{35} +(-4.84872 - 3.53411i) q^{36} +(0.680158 + 3.41939i) q^{37} +(-2.28979 + 6.25955i) q^{38} +(-8.97965 + 1.51060i) q^{39} +(2.48021 + 9.43964i) q^{40} +(1.56390 + 11.8790i) q^{41} +(0.303707 - 0.635488i) q^{42} +(8.04244 - 3.96609i) q^{43} +(-0.793775 - 5.27083i) q^{44} +(4.01964 + 9.53981i) q^{45} +(0.212847 - 9.07982i) q^{46} +(-3.01805 + 0.808685i) q^{47} +(-4.86227 + 4.93541i) q^{48} +(-6.68162 - 1.79033i) q^{49} +(2.74867 - 9.37369i) q^{50} +(-7.74140 + 5.58311i) q^{51} +(0.195295 + 10.5127i) q^{52} +(-1.03493 + 1.54888i) q^{53} +(-4.36540 + 5.91128i) q^{54} +(-3.51937 + 8.49650i) q^{55} +(-0.674023 - 0.455124i) q^{56} +(7.64868 + 2.85225i) q^{57} +(-11.7184 - 1.04436i) q^{58} +(1.33268 + 1.51963i) q^{59} +(11.5799 - 2.96534i) q^{60} +(0.482966 + 7.36864i) q^{61} +(7.07489 - 2.73808i) q^{62} +(-0.775972 - 0.376819i) q^{63} +(4.80814 + 6.39389i) q^{64} +(9.07057 - 15.7107i) q^{65} +(-6.46137 + 0.931823i) q^{66} +(10.8748 + 5.36288i) q^{67} +(5.05731 + 9.79238i) q^{68} +(-11.1186 - 0.330154i) q^{69} +(0.590961 + 1.27270i) q^{70} +(2.12339 + 5.12632i) q^{71} +(6.00730 + 5.99269i) q^{72} +(5.18712 - 12.5228i) q^{73} +(-0.207080 - 4.92613i) q^{74} +(-11.4591 - 3.43808i) q^{75} +(4.56058 - 8.24932i) q^{76} +(-0.246331 - 0.725668i) q^{77} +(12.8766 - 0.158742i) q^{78} +(0.386019 + 1.44064i) q^{79} +(-1.41368 - 13.7302i) q^{80} +(7.20627 + 5.39163i) q^{81} +(0.397097 - 16.9397i) q^{82} +(-5.44547 - 4.77555i) q^{83} +(-0.562557 + 0.822007i) q^{84} +(1.24367 - 18.9747i) q^{85} +(-12.1008 + 3.79381i) q^{86} +(-1.36872 + 14.3437i) q^{87} +(-0.0366540 + 7.53804i) q^{88} +(0.978463 - 0.405293i) q^{89} +(-3.54311 - 14.2048i) q^{90} +(0.294914 + 1.48263i) q^{91} +(-2.27139 + 12.6419i) q^{92} +(-3.29925 - 8.68572i) q^{93} +(4.39325 - 0.473934i) q^{94} +(-14.0843 + 8.13159i) q^{95} +(7.86752 - 5.83971i) q^{96} +(5.54886 + 3.20364i) q^{97} +(8.94770 + 3.95440i) q^{98} +(1.09178 + 7.92050i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39740 0.217400i −0.988114 0.153725i
\(3\) −0.276947 + 1.70977i −0.159895 + 0.987134i
\(4\) 1.90547 + 0.607592i 0.952737 + 0.303796i
\(5\) −2.27520 2.59437i −1.01750 1.16024i −0.987003 0.160702i \(-0.948624\pi\)
−0.0304975 0.999535i \(-0.509709\pi\)
\(6\) 0.758710 2.32903i 0.309742 0.950821i
\(7\) 0.285082 + 0.0375318i 0.107751 + 0.0141857i 0.184209 0.982887i \(-0.441028\pi\)
−0.0764579 + 0.997073i \(0.524361\pi\)
\(8\) −2.53063 1.26330i −0.894712 0.446644i
\(9\) −2.84660 0.947029i −0.948867 0.315676i
\(10\) 2.61536 + 4.12001i 0.827049 + 1.30286i
\(11\) −1.17876 2.39028i −0.355409 0.720698i 0.643593 0.765368i \(-0.277443\pi\)
−0.999002 + 0.0446703i \(0.985776\pi\)
\(12\) −1.56656 + 3.08964i −0.452226 + 0.891904i
\(13\) 1.68989 + 4.97825i 0.468690 + 1.38072i 0.882482 + 0.470346i \(0.155871\pi\)
−0.413792 + 0.910371i \(0.635796\pi\)
\(14\) −0.390216 0.114424i −0.104290 0.0305811i
\(15\) 5.06587 3.17156i 1.30800 0.818893i
\(16\) 3.26166 + 2.31550i 0.815416 + 0.578875i
\(17\) 3.89659 + 3.89659i 0.945061 + 0.945061i 0.998568 0.0535062i \(-0.0170397\pi\)
−0.0535062 + 0.998568i \(0.517040\pi\)
\(18\) 3.77197 + 1.94223i 0.889061 + 0.457789i
\(19\) 0.919464 4.62246i 0.210940 1.06046i −0.719632 0.694355i \(-0.755690\pi\)
0.930572 0.366109i \(-0.119310\pi\)
\(20\) −2.75902 6.32590i −0.616935 1.41451i
\(21\) −0.143123 + 0.477030i −0.0312321 + 0.104096i
\(22\) 1.12755 + 3.59645i 0.240395 + 0.766766i
\(23\) 0.838261 + 6.36723i 0.174790 + 1.32766i 0.823801 + 0.566879i \(0.191849\pi\)
−0.649011 + 0.760779i \(0.724817\pi\)
\(24\) 2.86080 3.97691i 0.583958 0.811784i
\(25\) −0.901582 + 6.84819i −0.180316 + 1.36964i
\(26\) −1.27918 7.32400i −0.250868 1.43635i
\(27\) 2.40756 4.60474i 0.463334 0.886183i
\(28\) 0.520413 + 0.244729i 0.0983488 + 0.0462495i
\(29\) 8.30116 0.544087i 1.54149 0.101034i 0.729203 0.684297i \(-0.239891\pi\)
0.812283 + 0.583263i \(0.198224\pi\)
\(30\) −7.76857 + 3.33062i −1.41834 + 0.608086i
\(31\) −4.64561 + 2.68214i −0.834376 + 0.481727i −0.855349 0.518053i \(-0.826657\pi\)
0.0209726 + 0.999780i \(0.493324\pi\)
\(32\) −4.05447 3.94478i −0.716736 0.697344i
\(33\) 4.41328 1.35342i 0.768253 0.235600i
\(34\) −4.59799 6.29223i −0.788548 1.07911i
\(35\) −0.551248 0.825001i −0.0931779 0.139451i
\(36\) −4.84872 3.53411i −0.808120 0.589019i
\(37\) 0.680158 + 3.41939i 0.111817 + 0.562144i 0.995557 + 0.0941641i \(0.0300179\pi\)
−0.883739 + 0.467979i \(0.844982\pi\)
\(38\) −2.28979 + 6.25955i −0.371452 + 1.01543i
\(39\) −8.97965 + 1.51060i −1.43789 + 0.241890i
\(40\) 2.48021 + 9.43964i 0.392156 + 1.49254i
\(41\) 1.56390 + 11.8790i 0.244240 + 1.85519i 0.472169 + 0.881508i \(0.343471\pi\)
−0.227930 + 0.973678i \(0.573196\pi\)
\(42\) 0.303707 0.635488i 0.0468631 0.0980579i
\(43\) 8.04244 3.96609i 1.22646 0.604824i 0.290482 0.956880i \(-0.406184\pi\)
0.935979 + 0.352057i \(0.114518\pi\)
\(44\) −0.793775 5.27083i −0.119666 0.794607i
\(45\) 4.01964 + 9.53981i 0.599213 + 1.42211i
\(46\) 0.212847 9.07982i 0.0313826 1.33875i
\(47\) −3.01805 + 0.808685i −0.440228 + 0.117959i −0.472123 0.881532i \(-0.656512\pi\)
0.0318953 + 0.999491i \(0.489846\pi\)
\(48\) −4.86227 + 4.93541i −0.701809 + 0.712365i
\(49\) −6.68162 1.79033i −0.954517 0.255762i
\(50\) 2.74867 9.37369i 0.388721 1.32564i
\(51\) −7.74140 + 5.58311i −1.08401 + 0.781791i
\(52\) 0.195295 + 10.5127i 0.0270825 + 1.45785i
\(53\) −1.03493 + 1.54888i −0.142158 + 0.212755i −0.895716 0.444627i \(-0.853336\pi\)
0.753558 + 0.657382i \(0.228336\pi\)
\(54\) −4.36540 + 5.91128i −0.594056 + 0.804424i
\(55\) −3.51937 + 8.49650i −0.474551 + 1.14567i
\(56\) −0.674023 0.455124i −0.0900701 0.0608185i
\(57\) 7.64868 + 2.85225i 1.01309 + 0.377789i
\(58\) −11.7184 1.04436i −1.53870 0.137132i
\(59\) 1.33268 + 1.51963i 0.173500 + 0.197838i 0.832054 0.554695i \(-0.187165\pi\)
−0.658554 + 0.752533i \(0.728832\pi\)
\(60\) 11.5799 2.96534i 1.49496 0.382824i
\(61\) 0.482966 + 7.36864i 0.0618375 + 0.943458i 0.910233 + 0.414096i \(0.135902\pi\)
−0.848396 + 0.529362i \(0.822431\pi\)
\(62\) 7.07489 2.73808i 0.898512 0.347737i
\(63\) −0.775972 0.376819i −0.0977632 0.0474748i
\(64\) 4.80814 + 6.39389i 0.601017 + 0.799236i
\(65\) 9.07057 15.7107i 1.12507 1.94867i
\(66\) −6.46137 + 0.931823i −0.795339 + 0.114699i
\(67\) 10.8748 + 5.36288i 1.32857 + 0.655179i 0.961447 0.274992i \(-0.0886751\pi\)
0.367126 + 0.930171i \(0.380342\pi\)
\(68\) 5.05731 + 9.79238i 0.613289 + 1.18750i
\(69\) −11.1186 0.330154i −1.33852 0.0397458i
\(70\) 0.590961 + 1.27270i 0.0706333 + 0.152117i
\(71\) 2.12339 + 5.12632i 0.252000 + 0.608382i 0.998365 0.0571543i \(-0.0182027\pi\)
−0.746365 + 0.665537i \(0.768203\pi\)
\(72\) 6.00730 + 5.99269i 0.707967 + 0.706246i
\(73\) 5.18712 12.5228i 0.607106 1.46568i −0.259026 0.965870i \(-0.583402\pi\)
0.866133 0.499814i \(-0.166598\pi\)
\(74\) −0.207080 4.92613i −0.0240726 0.572651i
\(75\) −11.4591 3.43808i −1.32318 0.396995i
\(76\) 4.56058 8.24932i 0.523135 0.946262i
\(77\) −0.246331 0.725668i −0.0280720 0.0826976i
\(78\) 12.8766 0.158742i 1.45799 0.0179740i
\(79\) 0.386019 + 1.44064i 0.0434305 + 0.162085i 0.984235 0.176864i \(-0.0565953\pi\)
−0.940805 + 0.338949i \(0.889929\pi\)
\(80\) −1.41368 13.7302i −0.158054 1.53508i
\(81\) 7.20627 + 5.39163i 0.800697 + 0.599070i
\(82\) 0.397097 16.9397i 0.0438520 1.87068i
\(83\) −5.44547 4.77555i −0.597718 0.524184i 0.306157 0.951981i \(-0.400957\pi\)
−0.903875 + 0.427797i \(0.859290\pi\)
\(84\) −0.562557 + 0.822007i −0.0613800 + 0.0896883i
\(85\) 1.24367 18.9747i 0.134895 2.05810i
\(86\) −12.1008 + 3.79381i −1.30486 + 0.409097i
\(87\) −1.36872 + 14.3437i −0.146742 + 1.53781i
\(88\) −0.0366540 + 7.53804i −0.00390733 + 0.803558i
\(89\) 0.978463 0.405293i 0.103717 0.0429609i −0.330222 0.943903i \(-0.607124\pi\)
0.433939 + 0.900942i \(0.357124\pi\)
\(90\) −3.54311 14.2048i −0.373476 1.49732i
\(91\) 0.294914 + 1.48263i 0.0309154 + 0.155422i
\(92\) −2.27139 + 12.6419i −0.236809 + 1.31801i
\(93\) −3.29925 8.68572i −0.342116 0.900667i
\(94\) 4.39325 0.473934i 0.453129 0.0488825i
\(95\) −14.0843 + 8.13159i −1.44502 + 0.834284i
\(96\) 7.86752 5.83971i 0.802975 0.596012i
\(97\) 5.54886 + 3.20364i 0.563401 + 0.325280i 0.754510 0.656289i \(-0.227875\pi\)
−0.191108 + 0.981569i \(0.561208\pi\)
\(98\) 8.94770 + 3.95440i 0.903854 + 0.399455i
\(99\) 1.09178 + 7.92050i 0.109728 + 0.796040i
\(100\) −5.87885 + 12.5013i −0.587885 + 1.25013i
\(101\) 3.40837 + 1.15698i 0.339145 + 0.115124i 0.485816 0.874061i \(-0.338522\pi\)
−0.146671 + 0.989185i \(0.546856\pi\)
\(102\) 12.0316 6.11887i 1.19131 0.605858i
\(103\) −0.685218 0.525786i −0.0675166 0.0518073i 0.574452 0.818538i \(-0.305215\pi\)
−0.641968 + 0.766731i \(0.721882\pi\)
\(104\) 2.01255 14.7329i 0.197347 1.44468i
\(105\) 1.56322 0.714024i 0.152555 0.0696816i
\(106\) 1.78294 1.93941i 0.173174 0.188373i
\(107\) −1.18220 0.789924i −0.114288 0.0763648i 0.497113 0.867686i \(-0.334394\pi\)
−0.611401 + 0.791321i \(0.709394\pi\)
\(108\) 7.38534 7.31141i 0.710655 0.703541i
\(109\) −2.43073 + 12.2201i −0.232822 + 1.17047i 0.670632 + 0.741790i \(0.266023\pi\)
−0.903454 + 0.428685i \(0.858977\pi\)
\(110\) 6.76512 11.1079i 0.645029 1.05910i
\(111\) −6.03472 + 0.215923i −0.572790 + 0.0204945i
\(112\) 0.842938 + 0.782524i 0.0796501 + 0.0739416i
\(113\) −3.52064 0.943352i −0.331194 0.0887431i 0.0893904 0.995997i \(-0.471508\pi\)
−0.420584 + 0.907254i \(0.638175\pi\)
\(114\) −10.0682 5.64856i −0.942975 0.529036i
\(115\) 14.6117 16.6615i 1.36255 1.55369i
\(116\) 16.1482 + 4.00697i 1.49933 + 0.372038i
\(117\) −0.0958878 15.7715i −0.00886483 1.45807i
\(118\) −1.53192 2.41325i −0.141025 0.222158i
\(119\) 0.964602 + 1.25709i 0.0884249 + 0.115238i
\(120\) −16.8265 + 1.62630i −1.53604 + 0.148460i
\(121\) 2.37239 3.09176i 0.215672 0.281069i
\(122\) 0.927046 10.4020i 0.0839308 0.941750i
\(123\) −20.7434 0.615950i −1.87037 0.0555383i
\(124\) −10.4817 + 2.28812i −0.941288 + 0.205479i
\(125\) 5.47228 3.65646i 0.489456 0.327044i
\(126\) 1.00243 + 0.695265i 0.0893031 + 0.0619391i
\(127\) −6.32305 −0.561080 −0.280540 0.959842i \(-0.590514\pi\)
−0.280540 + 0.959842i \(0.590514\pi\)
\(128\) −5.32888 9.98013i −0.471011 0.882127i
\(129\) 4.55376 + 14.8491i 0.400936 + 1.30739i
\(130\) −16.0908 + 19.9822i −1.41125 + 1.75256i
\(131\) −5.01582 2.47353i −0.438234 0.216113i 0.209769 0.977751i \(-0.432729\pi\)
−0.648003 + 0.761638i \(0.724396\pi\)
\(132\) 9.23172 + 0.102569i 0.803518 + 0.00892753i
\(133\) 0.435612 1.28327i 0.0377724 0.111274i
\(134\) −14.0306 9.85829i −1.21206 0.851627i
\(135\) −17.4241 + 4.23063i −1.49963 + 0.364114i
\(136\) −4.93824 14.7834i −0.423451 1.26766i
\(137\) 5.60321 + 7.30225i 0.478715 + 0.623873i 0.968813 0.247794i \(-0.0797057\pi\)
−0.490098 + 0.871667i \(0.663039\pi\)
\(138\) 15.4654 + 2.87855i 1.31650 + 0.245038i
\(139\) 7.56513 + 0.495845i 0.641666 + 0.0420570i 0.382763 0.923846i \(-0.374972\pi\)
0.258903 + 0.965903i \(0.416639\pi\)
\(140\) −0.549125 1.90695i −0.0464095 0.161167i
\(141\) −0.546821 5.38413i −0.0460506 0.453425i
\(142\) −1.85277 7.62517i −0.155481 0.639890i
\(143\) 9.90745 9.90745i 0.828503 0.828503i
\(144\) −7.09181 9.68020i −0.590984 0.806683i
\(145\) −20.2984 20.2984i −1.68569 1.68569i
\(146\) −9.97096 + 16.3717i −0.825203 + 1.35494i
\(147\) 4.91151 10.9282i 0.405094 0.901341i
\(148\) −0.781567 + 6.92881i −0.0642444 + 0.569545i
\(149\) 0.991825 15.1323i 0.0812534 1.23969i −0.741368 0.671099i \(-0.765823\pi\)
0.822622 0.568589i \(-0.192511\pi\)
\(150\) 15.2656 + 7.29560i 1.24643 + 0.595683i
\(151\) 5.22169 4.00674i 0.424935 0.326064i −0.374057 0.927406i \(-0.622034\pi\)
0.798992 + 0.601342i \(0.205367\pi\)
\(152\) −8.16638 + 10.5362i −0.662381 + 0.854595i
\(153\) −7.40185 14.7822i −0.598404 1.19507i
\(154\) 0.186464 + 1.06760i 0.0150257 + 0.0860300i
\(155\) 17.5282 + 5.95001i 1.40790 + 0.477916i
\(156\) −18.0283 2.57755i −1.44342 0.206369i
\(157\) −4.10984 + 8.33393i −0.328001 + 0.665120i −0.996938 0.0781991i \(-0.975083\pi\)
0.668937 + 0.743319i \(0.266750\pi\)
\(158\) −0.226228 2.09708i −0.0179978 0.166835i
\(159\) −2.36160 2.19844i −0.187287 0.174348i
\(160\) −1.00947 + 19.4940i −0.0798054 + 1.54113i
\(161\) 1.84664i 0.145536i
\(162\) −8.89793 9.10093i −0.699087 0.715036i
\(163\) −13.6739 20.4645i −1.07102 1.60290i −0.756914 0.653515i \(-0.773294\pi\)
−0.314110 0.949387i \(-0.601706\pi\)
\(164\) −4.23760 + 23.5853i −0.330901 + 1.84170i
\(165\) −13.5524 8.37038i −1.05505 0.651633i
\(166\) 6.57131 + 7.85721i 0.510033 + 0.609838i
\(167\) −1.77450 1.36162i −0.137315 0.105365i 0.537820 0.843060i \(-0.319248\pi\)
−0.675135 + 0.737694i \(0.735915\pi\)
\(168\) 0.964824 1.02638i 0.0744378 0.0791866i
\(169\) −11.6136 + 8.91145i −0.893356 + 0.685496i
\(170\) −5.86301 + 26.2449i −0.449672 + 2.01290i
\(171\) −6.99495 + 12.2875i −0.534917 + 0.939651i
\(172\) 17.7344 2.67077i 1.35224 0.203644i
\(173\) −1.81433 1.59113i −0.137941 0.120971i 0.587595 0.809155i \(-0.300075\pi\)
−0.725536 + 0.688184i \(0.758408\pi\)
\(174\) 5.03098 19.7464i 0.381398 1.49697i
\(175\) −0.514050 + 1.91846i −0.0388585 + 0.145022i
\(176\) 1.68999 10.5257i 0.127388 0.793406i
\(177\) −2.96728 + 1.85771i −0.223035 + 0.139634i
\(178\) −1.45542 + 0.353639i −0.109088 + 0.0265064i
\(179\) −8.45573 1.68195i −0.632011 0.125715i −0.131319 0.991340i \(-0.541921\pi\)
−0.500692 + 0.865625i \(0.666921\pi\)
\(180\) 1.86302 + 20.6202i 0.138861 + 1.53694i
\(181\) −0.909125 + 1.36060i −0.0675747 + 0.101133i −0.863718 0.503976i \(-0.831870\pi\)
0.796143 + 0.605108i \(0.206870\pi\)
\(182\) −0.0897893 2.13595i −0.00665563 0.158327i
\(183\) −12.7324 1.21496i −0.941207 0.0898128i
\(184\) 5.92240 17.1720i 0.436605 1.26594i
\(185\) 7.32365 9.54437i 0.538446 0.701716i
\(186\) 2.72211 + 12.8547i 0.199595 + 0.942553i
\(187\) 4.72082 13.9071i 0.345220 1.01699i
\(188\) −6.24217 0.292816i −0.455257 0.0213558i
\(189\) 0.859176 1.22237i 0.0624959 0.0889144i
\(190\) 21.4493 8.30118i 1.55610 0.602231i
\(191\) −3.62222 + 6.27386i −0.262094 + 0.453961i −0.966798 0.255541i \(-0.917747\pi\)
0.704704 + 0.709502i \(0.251080\pi\)
\(192\) −12.2637 + 6.45003i −0.885053 + 0.465490i
\(193\) 12.7618 + 22.1040i 0.918612 + 1.59108i 0.801525 + 0.597961i \(0.204022\pi\)
0.117087 + 0.993122i \(0.462644\pi\)
\(194\) −7.05753 5.68310i −0.506701 0.408023i
\(195\) 24.3495 + 19.8596i 1.74371 + 1.42217i
\(196\) −11.6439 7.47113i −0.831704 0.533652i
\(197\) 21.5470 4.28596i 1.53516 0.305362i 0.646135 0.763224i \(-0.276384\pi\)
0.889023 + 0.457862i \(0.151384\pi\)
\(198\) 0.196257 11.3055i 0.0139474 0.803446i
\(199\) −3.00917 7.26477i −0.213314 0.514986i 0.780614 0.625013i \(-0.214906\pi\)
−0.993929 + 0.110027i \(0.964906\pi\)
\(200\) 10.9329 16.1912i 0.773073 1.14489i
\(201\) −12.1810 + 17.1082i −0.859183 + 1.20672i
\(202\) −4.51133 2.35775i −0.317416 0.165891i
\(203\) 2.38693 + 0.156448i 0.167530 + 0.0109805i
\(204\) −18.1433 + 5.93485i −1.27028 + 0.415523i
\(205\) 27.2603 31.0844i 1.90394 2.17103i
\(206\) 0.843220 + 0.883702i 0.0587499 + 0.0615705i
\(207\) 3.64375 18.9188i 0.253258 1.31495i
\(208\) −6.01529 + 20.1503i −0.417085 + 1.39717i
\(209\) −12.1328 + 3.25098i −0.839244 + 0.224875i
\(210\) −2.33969 + 0.657934i −0.161454 + 0.0454017i
\(211\) −7.61006 + 2.58327i −0.523898 + 0.177840i −0.570845 0.821058i \(-0.693384\pi\)
0.0469466 + 0.998897i \(0.485051\pi\)
\(212\) −2.91311 + 2.32253i −0.200073 + 0.159512i
\(213\) −9.35288 + 2.21078i −0.640849 + 0.151480i
\(214\) 1.48029 + 1.36085i 0.101190 + 0.0930261i
\(215\) −28.5877 11.8414i −1.94966 0.807577i
\(216\) −11.9098 + 8.61142i −0.810360 + 0.585933i
\(217\) −1.42505 + 0.590274i −0.0967385 + 0.0400704i
\(218\) 6.05337 16.5480i 0.409986 1.12077i
\(219\) 19.9745 + 12.3369i 1.34975 + 0.833652i
\(220\) −11.8685 + 14.0515i −0.800172 + 0.947354i
\(221\) −12.8134 + 25.9830i −0.861921 + 1.74780i
\(222\) 8.47988 + 1.01022i 0.569132 + 0.0678014i
\(223\) 14.7998 + 8.54469i 0.991071 + 0.572195i 0.905594 0.424145i \(-0.139425\pi\)
0.0854764 + 0.996340i \(0.472759\pi\)
\(224\) −1.00780 1.27676i −0.0673367 0.0853069i
\(225\) 9.05188 18.6402i 0.603459 1.24268i
\(226\) 4.71467 + 2.08363i 0.313615 + 0.138601i
\(227\) 12.0648 0.790768i 0.800768 0.0524851i 0.340477 0.940253i \(-0.389412\pi\)
0.460292 + 0.887768i \(0.347745\pi\)
\(228\) 12.8414 + 10.0822i 0.850440 + 0.667707i
\(229\) 16.6784 14.6266i 1.10214 0.966553i 0.102539 0.994729i \(-0.467303\pi\)
0.999603 + 0.0281764i \(0.00897001\pi\)
\(230\) −24.0407 + 20.1062i −1.58520 + 1.32576i
\(231\) 1.30894 0.220197i 0.0861222 0.0144879i
\(232\) −21.6945 9.10999i −1.42431 0.598100i
\(233\) 9.15174 + 3.79077i 0.599550 + 0.248342i 0.661753 0.749722i \(-0.269813\pi\)
−0.0622029 + 0.998064i \(0.519813\pi\)
\(234\) −3.29472 + 22.0599i −0.215383 + 1.44210i
\(235\) 8.96470 + 5.99002i 0.584793 + 0.390746i
\(236\) 1.61607 + 3.70533i 0.105197 + 0.241196i
\(237\) −2.57007 + 0.261020i −0.166944 + 0.0169551i
\(238\) −1.07465 1.96637i −0.0696590 0.127461i
\(239\) 3.86645 14.4298i 0.250100 0.933384i −0.720652 0.693297i \(-0.756157\pi\)
0.970751 0.240087i \(-0.0771760\pi\)
\(240\) 23.8669 + 1.38548i 1.54060 + 0.0894321i
\(241\) −1.52656 5.69720i −0.0983344 0.366989i 0.899169 0.437601i \(-0.144172\pi\)
−0.997504 + 0.0706116i \(0.977505\pi\)
\(242\) −3.98733 + 3.80468i −0.256316 + 0.244574i
\(243\) −11.2142 + 10.8278i −0.719390 + 0.694606i
\(244\) −3.55685 + 14.3342i −0.227704 + 0.917654i
\(245\) 10.5572 + 21.4079i 0.674477 + 1.36770i
\(246\) 28.8530 + 5.37035i 1.83960 + 0.342401i
\(247\) 24.5655 3.23411i 1.56307 0.205782i
\(248\) 15.1447 0.918699i 0.961687 0.0583374i
\(249\) 9.67317 7.98790i 0.613012 0.506213i
\(250\) −8.44190 + 3.91988i −0.533913 + 0.247915i
\(251\) −11.7268 + 2.33261i −0.740191 + 0.147233i −0.550763 0.834661i \(-0.685663\pi\)
−0.189428 + 0.981895i \(0.560663\pi\)
\(252\) −1.24964 1.18949i −0.0787200 0.0749310i
\(253\) 14.2314 9.50910i 0.894718 0.597832i
\(254\) 8.83585 + 1.37463i 0.554411 + 0.0862521i
\(255\) 32.0979 + 7.38137i 2.01005 + 0.462239i
\(256\) 5.27691 + 15.1048i 0.329807 + 0.944048i
\(257\) 8.00118 + 13.8585i 0.499100 + 0.864466i 0.999999 0.00103898i \(-0.000330717\pi\)
−0.500900 + 0.865505i \(0.666997\pi\)
\(258\) −3.13525 21.7402i −0.195192 1.35348i
\(259\) 0.0655653 + 1.00033i 0.00407403 + 0.0621577i
\(260\) 26.8294 24.4251i 1.66389 1.51478i
\(261\) −24.1453 6.31264i −1.49456 0.390743i
\(262\) 6.47138 + 4.54696i 0.399803 + 0.280912i
\(263\) 18.4577 + 2.43001i 1.13815 + 0.149841i 0.675960 0.736939i \(-0.263729\pi\)
0.462193 + 0.886779i \(0.347063\pi\)
\(264\) −12.8781 2.15031i −0.792594 0.132342i
\(265\) 6.37303 0.839025i 0.391492 0.0515409i
\(266\) −0.887710 + 1.69855i −0.0544290 + 0.104145i
\(267\) 0.421973 + 1.78519i 0.0258243 + 0.109252i
\(268\) 17.4633 + 16.8263i 1.06674 + 1.02783i
\(269\) 12.8822 + 2.56243i 0.785441 + 0.156234i 0.571488 0.820610i \(-0.306366\pi\)
0.213952 + 0.976844i \(0.431366\pi\)
\(270\) 25.2682 2.12390i 1.53777 0.129256i
\(271\) −1.92989 + 1.92989i −0.117232 + 0.117232i −0.763289 0.646057i \(-0.776417\pi\)
0.646057 + 0.763289i \(0.276417\pi\)
\(272\) 3.68681 + 21.7319i 0.223546 + 1.31769i
\(273\) −2.61663 + 0.0936233i −0.158366 + 0.00566634i
\(274\) −6.24244 11.4223i −0.377119 0.690048i
\(275\) 17.4319 5.91732i 1.05118 0.356828i
\(276\) −20.9856 7.38468i −1.26319 0.444506i
\(277\) −16.5894 + 8.18097i −0.996759 + 0.491547i −0.866095 0.499880i \(-0.833378\pi\)
−0.130664 + 0.991427i \(0.541711\pi\)
\(278\) −10.4637 2.33756i −0.627574 0.140197i
\(279\) 15.7643 3.23546i 0.943782 0.193702i
\(280\) 0.352778 + 2.78416i 0.0210825 + 0.166385i
\(281\) −2.01119 + 15.2765i −0.119977 + 0.911318i 0.820544 + 0.571583i \(0.193671\pi\)
−0.940521 + 0.339735i \(0.889663\pi\)
\(282\) −0.406380 + 7.64268i −0.0241996 + 0.455115i
\(283\) −10.0694 + 8.83064i −0.598564 + 0.524927i −0.904137 0.427242i \(-0.859485\pi\)
0.305573 + 0.952169i \(0.401152\pi\)
\(284\) 0.931358 + 11.0582i 0.0552659 + 0.656185i
\(285\) −10.0025 26.3329i −0.592497 1.55983i
\(286\) −15.9986 + 11.6908i −0.946017 + 0.691293i
\(287\) 3.44518i 0.203363i
\(288\) 7.80564 + 15.0689i 0.459952 + 0.887944i
\(289\) 13.3668i 0.786282i
\(290\) 23.9521 + 32.7779i 1.40652 + 1.92478i
\(291\) −7.01421 + 8.60002i −0.411180 + 0.504142i
\(292\) 17.4927 20.7102i 1.02368 1.21198i
\(293\) −20.6674 + 18.1248i −1.20740 + 1.05886i −0.210712 + 0.977548i \(0.567578\pi\)
−0.996689 + 0.0813134i \(0.974089\pi\)
\(294\) −9.23915 + 14.2033i −0.538838 + 0.828354i
\(295\) 0.910364 6.91490i 0.0530035 0.402601i
\(296\) 2.59849 9.51243i 0.151034 0.552899i
\(297\) −13.8446 0.326866i −0.803343 0.0189667i
\(298\) −4.67575 + 20.9303i −0.270859 + 1.21246i
\(299\) −30.2810 + 14.9330i −1.75120 + 0.863595i
\(300\) −19.7461 13.5136i −1.14004 0.780210i
\(301\) 2.44161 0.828816i 0.140732 0.0477721i
\(302\) −8.16787 + 4.46384i −0.470008 + 0.256865i
\(303\) −2.92211 + 5.50709i −0.167871 + 0.316374i
\(304\) 13.7023 12.9479i 0.785880 0.742613i
\(305\) 18.0181 18.0181i 1.03172 1.03172i
\(306\) 7.12971 + 22.2659i 0.407578 + 1.27286i
\(307\) −20.9961 4.17639i −1.19831 0.238359i −0.444700 0.895679i \(-0.646690\pi\)
−0.753611 + 0.657320i \(0.771690\pi\)
\(308\) −0.0284677 1.53241i −0.00162210 0.0873172i
\(309\) 1.08874 1.02595i 0.0619363 0.0583641i
\(310\) −23.2004 12.1252i −1.31769 0.688665i
\(311\) −27.1311 + 3.57187i −1.53846 + 0.202542i −0.851579 0.524226i \(-0.824355\pi\)
−0.686883 + 0.726768i \(0.741021\pi\)
\(312\) 24.6325 + 7.52123i 1.39454 + 0.425806i
\(313\) −9.19318 1.21030i −0.519629 0.0684105i −0.133850 0.991002i \(-0.542734\pi\)
−0.385779 + 0.922591i \(0.626067\pi\)
\(314\) 7.55491 10.7524i 0.426348 0.606792i
\(315\) 0.787883 + 2.87050i 0.0443922 + 0.161734i
\(316\) −0.139773 + 2.97965i −0.00786285 + 0.167618i
\(317\) −0.0369430 0.563641i −0.00207493 0.0316573i 0.996696 0.0812235i \(-0.0258828\pi\)
−0.998771 + 0.0495663i \(0.984216\pi\)
\(318\) 2.82217 + 3.58552i 0.158259 + 0.201066i
\(319\) −11.0856 19.2008i −0.620673 1.07504i
\(320\) 5.64862 27.0215i 0.315768 1.51055i
\(321\) 1.67799 1.80253i 0.0936565 0.100607i
\(322\) 0.401461 2.58051i 0.0223725 0.143806i
\(323\) 21.5946 14.4290i 1.20156 0.802854i
\(324\) 10.4555 + 14.6521i 0.580859 + 0.814004i
\(325\) −35.6156 + 7.08437i −1.97560 + 0.392970i
\(326\) 14.6590 + 31.5698i 0.811887 + 1.74849i
\(327\) −20.2204 7.54031i −1.11819 0.416980i
\(328\) 11.0491 32.0369i 0.610084 1.76894i
\(329\) −0.890745 + 0.117269i −0.0491083 + 0.00646524i
\(330\) 17.1184 + 14.6431i 0.942337 + 0.806075i
\(331\) −9.82806 19.9293i −0.540199 1.09542i −0.980309 0.197471i \(-0.936727\pi\)
0.440110 0.897944i \(-0.354940\pi\)
\(332\) −7.47461 12.4083i −0.410223 0.680994i
\(333\) 1.30212 10.3778i 0.0713557 0.568697i
\(334\) 2.18368 + 2.28851i 0.119485 + 0.125222i
\(335\) −10.8292 40.4149i −0.591660 2.20810i
\(336\) −1.57138 + 1.22451i −0.0857260 + 0.0668024i
\(337\) −3.14834 + 11.7498i −0.171501 + 0.640050i 0.825620 + 0.564226i \(0.190825\pi\)
−0.997121 + 0.0758240i \(0.975841\pi\)
\(338\) 18.1663 9.92808i 0.988115 0.540017i
\(339\) 2.58794 5.75821i 0.140558 0.312743i
\(340\) 13.8986 35.4002i 0.753760 1.91984i
\(341\) 11.8871 + 7.94273i 0.643724 + 0.430123i
\(342\) 12.4461 15.6499i 0.673007 0.846252i
\(343\) −3.69720 1.53143i −0.199630 0.0826894i
\(344\) −25.3628 0.123328i −1.36747 0.00664938i
\(345\) 24.4405 + 29.5970i 1.31583 + 1.59345i
\(346\) 2.18945 + 2.61789i 0.117705 + 0.140738i
\(347\) 24.3828 21.3832i 1.30894 1.14791i 0.329950 0.943998i \(-0.392968\pi\)
0.978989 0.203911i \(-0.0653653\pi\)
\(348\) −11.3232 + 26.5000i −0.606987 + 1.42055i
\(349\) −14.9872 + 0.982314i −0.802247 + 0.0525820i −0.461010 0.887395i \(-0.652513\pi\)
−0.341237 + 0.939977i \(0.610846\pi\)
\(350\) 1.13541 2.56911i 0.0606902 0.137325i
\(351\) 26.9920 + 4.20391i 1.44073 + 0.224388i
\(352\) −4.64989 + 14.3413i −0.247840 + 0.764392i
\(353\) 3.66712 + 2.11721i 0.195181 + 0.112688i 0.594406 0.804165i \(-0.297387\pi\)
−0.399225 + 0.916853i \(0.630721\pi\)
\(354\) 4.55036 1.95088i 0.241849 0.103688i
\(355\) 8.46843 17.1723i 0.449457 0.911409i
\(356\) 2.11069 0.177769i 0.111866 0.00942172i
\(357\) −2.41648 + 1.30110i −0.127894 + 0.0688613i
\(358\) 11.4504 + 4.18864i 0.605173 + 0.221377i
\(359\) −31.6666 + 13.1167i −1.67130 + 0.692274i −0.998853 0.0478743i \(-0.984755\pi\)
−0.672444 + 0.740148i \(0.734755\pi\)
\(360\) 1.87944 29.2197i 0.0990554 1.54001i
\(361\) −2.96800 1.22939i −0.156211 0.0647046i
\(362\) 1.56621 1.70367i 0.0823181 0.0895427i
\(363\) 4.62916 + 4.91248i 0.242968 + 0.257839i
\(364\) −0.338885 + 3.00431i −0.0177624 + 0.157469i
\(365\) −44.2905 + 15.0346i −2.31827 + 0.786947i
\(366\) 17.5282 + 4.46583i 0.916213 + 0.233432i
\(367\) −6.49191 + 1.73950i −0.338875 + 0.0908013i −0.424244 0.905548i \(-0.639460\pi\)
0.0853684 + 0.996349i \(0.472793\pi\)
\(368\) −12.0092 + 22.7087i −0.626022 + 1.18378i
\(369\) 6.79795 35.2958i 0.353887 1.83742i
\(370\) −12.3090 + 11.7452i −0.639917 + 0.610602i
\(371\) −0.353171 + 0.402715i −0.0183357 + 0.0209079i
\(372\) −1.00927 18.5550i −0.0523281 0.962032i
\(373\) −25.3347 1.66052i −1.31178 0.0859786i −0.606600 0.795007i \(-0.707467\pi\)
−0.705180 + 0.709029i \(0.749134\pi\)
\(374\) −9.62029 + 18.4075i −0.497453 + 0.951829i
\(375\) 4.73616 + 10.3690i 0.244574 + 0.535451i
\(376\) 8.65918 + 1.76623i 0.446563 + 0.0910864i
\(377\) 16.7366 + 40.4058i 0.861980 + 2.08100i
\(378\) −1.46636 + 1.52136i −0.0754214 + 0.0782504i
\(379\) 6.27861 1.24889i 0.322511 0.0641514i −0.0311801 0.999514i \(-0.509927\pi\)
0.353691 + 0.935362i \(0.384927\pi\)
\(380\) −31.7780 + 6.93702i −1.63018 + 0.355861i
\(381\) 1.75115 10.8109i 0.0897141 0.553861i
\(382\) 6.42564 7.97965i 0.328764 0.408274i
\(383\) 18.2469 + 31.6046i 0.932374 + 1.61492i 0.779251 + 0.626712i \(0.215600\pi\)
0.153123 + 0.988207i \(0.451067\pi\)
\(384\) 18.5395 6.34717i 0.946090 0.323903i
\(385\) −1.32220 + 2.29011i −0.0673855 + 0.116715i
\(386\) −13.0279 33.6627i −0.663104 1.71338i
\(387\) −26.6496 + 3.67346i −1.35468 + 0.186732i
\(388\) 8.62671 + 9.47589i 0.437955 + 0.481065i
\(389\) 1.12027 3.30020i 0.0567998 0.167327i −0.914827 0.403846i \(-0.867673\pi\)
0.971627 + 0.236519i \(0.0760066\pi\)
\(390\) −29.7087 33.0455i −1.50436 1.67332i
\(391\) −21.5441 + 28.0768i −1.08953 + 1.41991i
\(392\) 14.6469 + 12.9716i 0.739782 + 0.655163i
\(393\) 5.61827 7.89085i 0.283404 0.398040i
\(394\) −31.0416 + 1.30490i −1.56385 + 0.0657399i
\(395\) 2.85928 4.27922i 0.143866 0.215311i
\(396\) −2.73207 + 15.7557i −0.137291 + 0.791752i
\(397\) −3.21635 0.639772i −0.161424 0.0321092i 0.113717 0.993513i \(-0.463724\pi\)
−0.275141 + 0.961404i \(0.588724\pi\)
\(398\) 2.62566 + 10.8060i 0.131612 + 0.541656i
\(399\) 2.07345 + 1.10019i 0.103803 + 0.0550786i
\(400\) −18.7977 + 20.2489i −0.939883 + 1.01244i
\(401\) 8.98295 33.5248i 0.448587 1.67415i −0.257700 0.966225i \(-0.582965\pi\)
0.706287 0.707926i \(-0.250369\pi\)
\(402\) 20.7411 21.2589i 1.03447 1.06030i
\(403\) −21.2029 18.5945i −1.05619 0.926256i
\(404\) 5.79158 + 4.27550i 0.288142 + 0.212714i
\(405\) −2.40784 30.9628i −0.119646 1.53855i
\(406\) −3.30150 0.737541i −0.163851 0.0366035i
\(407\) 7.37156 5.65640i 0.365395 0.280377i
\(408\) 26.6437 4.34903i 1.31906 0.215309i
\(409\) −15.7727 12.1028i −0.779910 0.598446i 0.140193 0.990124i \(-0.455228\pi\)
−0.920102 + 0.391679i \(0.871895\pi\)
\(410\) −44.8514 + 37.5111i −2.21505 + 1.85254i
\(411\) −14.0369 + 7.55785i −0.692391 + 0.372801i
\(412\) −0.986202 1.41821i −0.0485867 0.0698700i
\(413\) 0.322888 + 0.483236i 0.0158883 + 0.0237785i
\(414\) −9.20475 + 25.6451i −0.452389 + 1.26039i
\(415\) 24.9929i 1.22685i
\(416\) 12.7865 26.8504i 0.626908 1.31645i
\(417\) −2.94292 + 12.7973i −0.144115 + 0.626685i
\(418\) 17.6612 1.90525i 0.863838 0.0931889i
\(419\) −2.45135 + 4.97085i −0.119756 + 0.242842i −0.948494 0.316796i \(-0.897393\pi\)
0.828737 + 0.559638i \(0.189060\pi\)
\(420\) 3.41252 0.410751i 0.166514 0.0200426i
\(421\) −19.4091 6.58850i −0.945941 0.321104i −0.194499 0.980903i \(-0.562308\pi\)
−0.751442 + 0.659799i \(0.770641\pi\)
\(422\) 11.1959 1.95544i 0.545009 0.0951893i
\(423\) 9.35704 + 0.556182i 0.454955 + 0.0270425i
\(424\) 4.57571 2.61221i 0.222216 0.126860i
\(425\) −30.1977 + 23.1715i −1.46480 + 1.12398i
\(426\) 13.5504 1.05604i 0.656518 0.0511653i
\(427\) −0.138873 + 2.11880i −0.00672055 + 0.102536i
\(428\) −1.77271 2.22348i −0.0856872 0.107476i
\(429\) 14.1956 + 19.6833i 0.685369 + 0.950317i
\(430\) 37.3742 + 22.7622i 1.80234 + 1.09769i
\(431\) 1.09708 + 1.09708i 0.0528447 + 0.0528447i 0.733035 0.680191i \(-0.238103\pi\)
−0.680191 + 0.733035i \(0.738103\pi\)
\(432\) 18.5149 9.44443i 0.890800 0.454396i
\(433\) −0.925229 + 0.925229i −0.0444637 + 0.0444637i −0.728989 0.684525i \(-0.760009\pi\)
0.684525 + 0.728989i \(0.260009\pi\)
\(434\) 2.11969 0.515045i 0.101748 0.0247230i
\(435\) 40.3270 29.0839i 1.93353 1.39447i
\(436\) −12.0565 + 21.8082i −0.577403 + 1.04442i
\(437\) 30.2030 + 1.97961i 1.44481 + 0.0946975i
\(438\) −25.2304 21.5821i −1.20556 1.03123i
\(439\) 6.28440 + 8.18999i 0.299938 + 0.390887i 0.918872 0.394556i \(-0.129102\pi\)
−0.618934 + 0.785443i \(0.712435\pi\)
\(440\) 19.6399 17.0555i 0.936293 0.813087i
\(441\) 17.3244 + 11.4241i 0.824971 + 0.544003i
\(442\) 23.5542 33.5231i 1.12036 1.59453i
\(443\) −12.0924 + 35.6232i −0.574529 + 1.69251i 0.137623 + 0.990485i \(0.456054\pi\)
−0.712153 + 0.702025i \(0.752280\pi\)
\(444\) −11.6302 3.25521i −0.551944 0.154485i
\(445\) −3.27768 1.61637i −0.155377 0.0766234i
\(446\) −18.8237 15.1579i −0.891330 0.717746i
\(447\) 25.5980 + 5.88664i 1.21075 + 0.278428i
\(448\) 1.13074 + 2.00324i 0.0534225 + 0.0946443i
\(449\) 7.69491 0.363145 0.181573 0.983378i \(-0.441881\pi\)
0.181573 + 0.983378i \(0.441881\pi\)
\(450\) −16.7015 + 24.0801i −0.787318 + 1.13515i
\(451\) 26.5507 17.7406i 1.25022 0.835372i
\(452\) −6.13531 3.93664i −0.288581 0.185164i
\(453\) 5.40446 + 10.0375i 0.253924 + 0.471604i
\(454\) −17.0313 1.51787i −0.799318 0.0712370i
\(455\) 3.17551 4.13841i 0.148870 0.194011i
\(456\) −15.7527 16.8806i −0.737688 0.790505i
\(457\) 4.17220 + 5.43731i 0.195167 + 0.254347i 0.880678 0.473716i \(-0.157088\pi\)
−0.685511 + 0.728063i \(0.740421\pi\)
\(458\) −26.4863 + 16.8134i −1.23763 + 0.785637i
\(459\) 27.3240 8.56154i 1.27538 0.399618i
\(460\) 37.9656 22.8700i 1.77016 1.06632i
\(461\) −9.20018 + 10.4908i −0.428495 + 0.488605i −0.925289 0.379264i \(-0.876177\pi\)
0.496793 + 0.867869i \(0.334511\pi\)
\(462\) −1.87699 + 0.0231395i −0.0873257 + 0.00107655i
\(463\) −6.20861 1.66359i −0.288539 0.0773137i 0.111647 0.993748i \(-0.464388\pi\)
−0.400185 + 0.916434i \(0.631054\pi\)
\(464\) 28.3354 + 17.4467i 1.31544 + 0.809943i
\(465\) −15.0275 + 28.3212i −0.696883 + 1.31337i
\(466\) −11.9646 7.28683i −0.554248 0.337556i
\(467\) 0.388218 1.95170i 0.0179646 0.0903140i −0.970763 0.240040i \(-0.922839\pi\)
0.988727 + 0.149726i \(0.0478393\pi\)
\(468\) 9.39989 30.1104i 0.434510 1.39185i
\(469\) 2.89894 + 1.93701i 0.133861 + 0.0894429i
\(470\) −11.2251 10.3194i −0.517774 0.475999i
\(471\) −13.1109 9.33492i −0.604117 0.430131i
\(472\) −1.45276 5.52918i −0.0668687 0.254501i
\(473\) −18.9602 14.5487i −0.871790 0.668948i
\(474\) 3.64817 + 0.193982i 0.167566 + 0.00890990i
\(475\) 30.8265 + 10.4642i 1.41442 + 0.480130i
\(476\) 1.07422 + 2.98144i 0.0492370 + 0.136654i
\(477\) 4.41286 3.42893i 0.202051 0.157000i
\(478\) −8.54002 + 19.3236i −0.390611 + 0.883843i
\(479\) 21.4092 + 12.3606i 0.978211 + 0.564771i 0.901730 0.432300i \(-0.142298\pi\)
0.0764817 + 0.997071i \(0.475631\pi\)
\(480\) −33.0505 7.12474i −1.50854 0.325199i
\(481\) −15.8732 + 9.16437i −0.723753 + 0.417859i
\(482\) 0.894649 + 8.29316i 0.0407501 + 0.377743i
\(483\) −3.15733 0.511423i −0.143663 0.0232705i
\(484\) 6.39905 4.44982i 0.290866 0.202265i
\(485\) −4.31336 21.6847i −0.195859 0.984652i
\(486\) 18.0247 12.6929i 0.817618 0.575762i
\(487\) 3.68325 1.52565i 0.166904 0.0691339i −0.297667 0.954670i \(-0.596209\pi\)
0.464571 + 0.885536i \(0.346209\pi\)
\(488\) 8.08661 19.2574i 0.366064 0.871742i
\(489\) 38.7764 17.7116i 1.75353 0.800948i
\(490\) −10.0986 32.2107i −0.456209 1.45513i
\(491\) 1.37108 20.9187i 0.0618760 0.944046i −0.848219 0.529646i \(-0.822325\pi\)
0.910095 0.414400i \(-0.136008\pi\)
\(492\) −39.1518 13.7772i −1.76510 0.621124i
\(493\) 34.4663 + 30.2261i 1.55228 + 1.36132i
\(494\) −35.0311 0.821189i −1.57612 0.0369470i
\(495\) 18.0647 20.8532i 0.811947 0.937282i
\(496\) −21.3629 2.00866i −0.959224 0.0901914i
\(497\) 0.412941 + 1.54112i 0.0185229 + 0.0691286i
\(498\) −15.2539 + 9.05937i −0.683543 + 0.405960i
\(499\) −7.84982 23.1248i −0.351406 1.03521i −0.968648 0.248436i \(-0.920083\pi\)
0.617242 0.786773i \(-0.288250\pi\)
\(500\) 12.6489 3.64238i 0.565677 0.162892i
\(501\) 2.81950 2.65688i 0.125966 0.118701i
\(502\) 16.8942 0.710185i 0.754027 0.0316971i
\(503\) −7.59713 + 18.3411i −0.338739 + 0.817789i 0.659098 + 0.752057i \(0.270938\pi\)
−0.997837 + 0.0657318i \(0.979062\pi\)
\(504\) 1.48766 + 1.93387i 0.0662655 + 0.0861416i
\(505\) −4.75307 11.4749i −0.211509 0.510628i
\(506\) −21.9542 + 10.1941i −0.975985 + 0.453185i
\(507\) −12.0201 22.3246i −0.533833 0.991469i
\(508\) −12.0484 3.84183i −0.534562 0.170454i
\(509\) −17.1059 8.43569i −0.758205 0.373905i 0.0217316 0.999764i \(-0.493082\pi\)
−0.779937 + 0.625859i \(0.784749\pi\)
\(510\) −43.2490 17.2928i −1.91510 0.765740i
\(511\) 1.94876 3.37535i 0.0862080 0.149317i
\(512\) −4.09020 22.2547i −0.180763 0.983527i
\(513\) −19.0716 15.3627i −0.842031 0.678281i
\(514\) −8.16805 21.1053i −0.360277 0.930915i
\(515\) 0.194925 + 2.97398i 0.00858941 + 0.131049i
\(516\) −0.345109 + 31.0614i −0.0151926 + 1.36740i
\(517\) 5.49054 + 6.26076i 0.241474 + 0.275348i
\(518\) 0.125852 1.41212i 0.00552960 0.0620452i
\(519\) 3.22293 2.66143i 0.141471 0.116824i
\(520\) −42.8016 + 28.2990i −1.87697 + 1.24099i
\(521\) −0.225207 + 0.543697i −0.00986649 + 0.0238198i −0.928736 0.370742i \(-0.879104\pi\)
0.918870 + 0.394562i \(0.129104\pi\)
\(522\) 32.3684 + 14.0705i 1.41673 + 0.615850i
\(523\) −21.2547 + 31.8099i −0.929402 + 1.39095i −0.00900723 + 0.999959i \(0.502867\pi\)
−0.920395 + 0.390990i \(0.872133\pi\)
\(524\) −8.05462 7.76082i −0.351868 0.339033i
\(525\) −3.13775 1.41022i −0.136943 0.0615469i
\(526\) −25.2646 7.40842i −1.10159 0.323022i
\(527\) −28.5532 7.65082i −1.24380 0.333275i
\(528\) 17.5285 + 5.80456i 0.762829 + 0.252611i
\(529\) −17.6226 + 4.72196i −0.766199 + 0.205302i
\(530\) −9.08809 0.213041i −0.394762 0.00925390i
\(531\) −2.35447 5.58785i −0.102175 0.242492i
\(532\) 1.60975 2.18057i 0.0697916 0.0945396i
\(533\) −56.4937 + 27.8596i −2.44701 + 1.20673i
\(534\) −0.201567 2.58636i −0.00872265 0.111923i
\(535\) 0.640399 + 4.86431i 0.0276869 + 0.210303i
\(536\) −20.7452 27.3096i −0.896057 1.17960i
\(537\) 5.21753 13.9915i 0.225153 0.603778i
\(538\) −17.4445 6.38133i −0.752088 0.275119i
\(539\) 3.59660 + 18.0813i 0.154917 + 0.778818i
\(540\) −35.7716 2.52537i −1.53937 0.108675i
\(541\) 6.23477 + 9.33099i 0.268054 + 0.401171i 0.940939 0.338576i \(-0.109945\pi\)
−0.672885 + 0.739747i \(0.734945\pi\)
\(542\) 3.11639 2.27727i 0.133860 0.0978172i
\(543\) −2.07453 1.93121i −0.0890266 0.0828760i
\(544\) −0.427441 31.1698i −0.0183264 1.33639i
\(545\) 37.2339 21.4970i 1.59492 0.920830i
\(546\) 3.67685 + 0.438027i 0.157355 + 0.0187458i
\(547\) 1.52225 0.0997734i 0.0650866 0.00426600i −0.0328250 0.999461i \(-0.510450\pi\)
0.0979117 + 0.995195i \(0.468784\pi\)
\(548\) 6.23999 + 17.3187i 0.266559 + 0.739819i
\(549\) 5.60351 21.4330i 0.239152 0.914737i
\(550\) −25.6458 + 4.47920i −1.09354 + 0.190994i
\(551\) 5.11760 38.8720i 0.218017 1.65600i
\(552\) 27.7200 + 14.8817i 1.17984 + 0.633406i
\(553\) 0.0559772 + 0.425189i 0.00238039 + 0.0180809i
\(554\) 24.9606 7.82559i 1.06047 0.332477i
\(555\) 14.2904 + 15.1650i 0.606593 + 0.643719i
\(556\) 14.1139 + 5.54133i 0.598562 + 0.235005i
\(557\) 4.78762 24.0690i 0.202858 1.01984i −0.736380 0.676568i \(-0.763466\pi\)
0.939238 0.343267i \(-0.111534\pi\)
\(558\) −22.7324 + 1.09410i −0.962340 + 0.0463167i
\(559\) 33.3350 + 33.3350i 1.40992 + 1.40992i
\(560\) 0.112304 3.96729i 0.00474572 0.167649i
\(561\) 22.4704 + 11.9230i 0.948703 + 0.503390i
\(562\) 6.13155 20.9102i 0.258644 0.882042i
\(563\) 4.58673 + 13.5121i 0.193308 + 0.569466i 0.999762 0.0218306i \(-0.00694945\pi\)
−0.806454 + 0.591297i \(0.798616\pi\)
\(564\) 2.22940 10.5916i 0.0938746 0.445985i
\(565\) 5.56275 + 11.2801i 0.234027 + 0.474559i
\(566\) 15.9908 10.1509i 0.672144 0.426673i
\(567\) 1.85202 + 1.80752i 0.0777776 + 0.0759088i
\(568\) 1.10258 15.6553i 0.0462631 0.656881i
\(569\) 23.8198 + 3.13594i 0.998578 + 0.131465i 0.612056 0.790815i \(-0.290343\pi\)
0.386522 + 0.922280i \(0.373676\pi\)
\(570\) 8.25276 + 38.9723i 0.345670 + 1.63237i
\(571\) 23.9195 + 27.2749i 1.00100 + 1.14142i 0.989941 + 0.141482i \(0.0451867\pi\)
0.0110584 + 0.999939i \(0.496480\pi\)
\(572\) 24.8981 12.8587i 1.04104 0.537650i
\(573\) −9.72368 7.93067i −0.406213 0.331309i
\(574\) 0.748983 4.81431i 0.0312620 0.200945i
\(575\) −44.3597 −1.84993
\(576\) −7.63165 22.7543i −0.317986 0.948096i
\(577\) 4.69328 0.195384 0.0976919 0.995217i \(-0.468854\pi\)
0.0976919 + 0.995217i \(0.468854\pi\)
\(578\) 2.90594 18.6788i 0.120871 0.776936i
\(579\) −41.3271 + 15.6980i −1.71749 + 0.652386i
\(580\) −26.3449 51.0111i −1.09391 2.11812i
\(581\) −1.37317 1.56580i −0.0569687 0.0649604i
\(582\) 11.6713 10.4928i 0.483792 0.434941i
\(583\) 4.92218 + 0.648018i 0.203856 + 0.0268382i
\(584\) −28.9467 + 25.1377i −1.19782 + 1.04020i
\(585\) −40.6988 + 36.1320i −1.68269 + 1.49387i
\(586\) 32.8210 20.8346i 1.35582 0.860668i
\(587\) −4.52469 9.17517i −0.186754 0.378700i 0.783280 0.621669i \(-0.213545\pi\)
−0.970034 + 0.242969i \(0.921879\pi\)
\(588\) 15.9986 17.8392i 0.659772 0.735675i
\(589\) 8.12663 + 23.9403i 0.334852 + 0.986442i
\(590\) −2.77545 + 9.46500i −0.114263 + 0.389668i
\(591\) 1.36062 + 38.0273i 0.0559683 + 1.56423i
\(592\) −5.69914 + 12.7278i −0.234233 + 0.523109i
\(593\) −14.9064 14.9064i −0.612131 0.612131i 0.331370 0.943501i \(-0.392489\pi\)
−0.943501 + 0.331370i \(0.892489\pi\)
\(594\) 19.2754 + 3.46658i 0.790879 + 0.142235i
\(595\) 1.06670 5.36267i 0.0437305 0.219848i
\(596\) 11.0842 28.2316i 0.454025 1.15641i
\(597\) 13.2544 3.13301i 0.542468 0.128226i
\(598\) 45.5613 14.2843i 1.86314 0.584127i
\(599\) −5.97658 45.3966i −0.244196 1.85486i −0.472585 0.881285i \(-0.656679\pi\)
0.228388 0.973570i \(-0.426654\pi\)
\(600\) 24.6554 + 23.1768i 1.00655 + 0.946190i
\(601\) −0.425943 + 3.23536i −0.0173746 + 0.131973i −0.997934 0.0642503i \(-0.979534\pi\)
0.980559 + 0.196223i \(0.0628677\pi\)
\(602\) −3.59210 + 0.627383i −0.146403 + 0.0255702i
\(603\) −25.8775 25.5648i −1.05381 1.04108i
\(604\) 12.3843 4.46209i 0.503908 0.181560i
\(605\) −13.4188 + 0.879516i −0.545553 + 0.0357574i
\(606\) 5.28061 7.06035i 0.214510 0.286807i
\(607\) 39.2957 22.6874i 1.59496 0.920852i 0.602525 0.798100i \(-0.294161\pi\)
0.992437 0.122752i \(-0.0391721\pi\)
\(608\) −21.9625 + 15.1146i −0.890697 + 0.612976i
\(609\) −0.928544 + 4.03777i −0.0376265 + 0.163619i
\(610\) −29.0958 + 21.2615i −1.17805 + 0.860851i
\(611\) −9.12600 13.6580i −0.369198 0.552544i
\(612\) −5.12248 32.6644i −0.207064 1.32038i
\(613\) −1.58223 7.95442i −0.0639058 0.321276i 0.935588 0.353094i \(-0.114870\pi\)
−0.999494 + 0.0318178i \(0.989870\pi\)
\(614\) 28.4321 + 10.4007i 1.14743 + 0.419736i
\(615\) 45.5974 + 55.2174i 1.83866 + 2.22658i
\(616\) −0.293366 + 2.14759i −0.0118200 + 0.0865287i
\(617\) −2.53039 19.2203i −0.101870 0.773778i −0.963776 0.266711i \(-0.914063\pi\)
0.861907 0.507067i \(-0.169270\pi\)
\(618\) −1.74445 + 1.19697i −0.0701721 + 0.0481492i
\(619\) 26.6044 13.1199i 1.06932 0.527331i 0.179556 0.983748i \(-0.442534\pi\)
0.889766 + 0.456416i \(0.150867\pi\)
\(620\) 29.7843 + 21.9876i 1.19617 + 0.883041i
\(621\) 31.3376 + 11.4695i 1.25753 + 0.460254i
\(622\) 38.6896 + 0.906951i 1.55131 + 0.0363654i
\(623\) 0.294154 0.0788183i 0.0117850 0.00315779i
\(624\) −32.7864 15.8653i −1.31251 0.635120i
\(625\) 11.4229 + 3.06075i 0.456915 + 0.122430i
\(626\) 12.5835 + 3.68988i 0.502936 + 0.147477i
\(627\) −2.19826 21.6446i −0.0877902 0.864403i
\(628\) −12.8948 + 13.3830i −0.514559 + 0.534039i
\(629\) −10.6736 + 15.9742i −0.425586 + 0.636934i
\(630\) −0.476944 4.18253i −0.0190019 0.166636i
\(631\) 0.432809 1.04489i 0.0172299 0.0415966i −0.915030 0.403385i \(-0.867834\pi\)
0.932260 + 0.361788i \(0.117834\pi\)
\(632\) 0.843095 4.13338i 0.0335365 0.164417i
\(633\) −2.30920 13.7269i −0.0917825 0.545594i
\(634\) −0.0709114 + 0.795666i −0.00281625 + 0.0315999i
\(635\) 14.3862 + 16.4043i 0.570899 + 0.650986i
\(636\) −3.16421 5.62396i −0.125469 0.223004i
\(637\) −2.37845 36.2882i −0.0942378 1.43779i
\(638\) 11.3168 + 29.2412i 0.448035 + 1.15767i
\(639\) −1.18967 16.6035i −0.0470627 0.656824i
\(640\) −13.7679 + 36.5319i −0.544223 + 1.44405i
\(641\) 19.7659 34.2356i 0.780706 1.35222i −0.150824 0.988561i \(-0.548193\pi\)
0.931531 0.363662i \(-0.118474\pi\)
\(642\) −2.73670 + 2.15406i −0.108009 + 0.0850140i
\(643\) 7.76293 + 3.82825i 0.306140 + 0.150972i 0.588870 0.808228i \(-0.299573\pi\)
−0.282729 + 0.959200i \(0.591240\pi\)
\(644\) −1.12201 + 3.51873i −0.0442132 + 0.138658i
\(645\) 28.1633 45.5988i 1.10893 1.79545i
\(646\) −33.3132 + 15.4685i −1.31069 + 0.608601i
\(647\) −2.62089 6.32740i −0.103038 0.248756i 0.863950 0.503578i \(-0.167983\pi\)
−0.966988 + 0.254822i \(0.917983\pi\)
\(648\) −11.4251 22.7479i −0.448821 0.893622i
\(649\) 2.06143 4.97674i 0.0809184 0.195354i
\(650\) 51.3095 2.15690i 2.01252 0.0846007i
\(651\) −0.614567 2.59997i −0.0240868 0.101901i
\(652\) −13.6213 47.3027i −0.533450 1.85252i
\(653\) −3.76917 11.1036i −0.147499 0.434518i 0.847920 0.530124i \(-0.177855\pi\)
−0.995419 + 0.0956058i \(0.969521\pi\)
\(654\) 26.6167 + 14.9328i 1.04080 + 0.583917i
\(655\) 4.99475 + 18.6407i 0.195161 + 0.728351i
\(656\) −22.4049 + 42.3665i −0.874764 + 1.65413i
\(657\) −26.6251 + 30.7351i −1.03875 + 1.19909i
\(658\) 1.27022 + 0.0297763i 0.0495185 + 0.00116080i
\(659\) 1.25980 + 1.10482i 0.0490749 + 0.0430376i 0.683532 0.729921i \(-0.260443\pi\)
−0.634457 + 0.772958i \(0.718776\pi\)
\(660\) −20.7379 24.1838i −0.807222 0.941355i
\(661\) −1.79497 + 27.3859i −0.0698162 + 1.06519i 0.808932 + 0.587903i \(0.200046\pi\)
−0.878748 + 0.477286i \(0.841621\pi\)
\(662\) 9.40113 + 29.9859i 0.365385 + 1.16544i
\(663\) −40.8762 29.1038i −1.58750 1.13030i
\(664\) 7.74749 + 18.9644i 0.300661 + 0.735961i
\(665\) −4.32039 + 1.78956i −0.167537 + 0.0693962i
\(666\) −4.07571 + 14.2188i −0.157931 + 0.550969i
\(667\) 10.4229 + 52.3993i 0.403575 + 2.02891i
\(668\) −2.55396 3.67271i −0.0988155 0.142101i
\(669\) −18.7082 + 22.9378i −0.723301 + 0.886828i
\(670\) 6.34648 + 58.8303i 0.245186 + 2.27281i
\(671\) 17.0438 9.84027i 0.657970 0.379879i
\(672\) 2.46206 1.36951i 0.0949762 0.0528302i
\(673\) −7.42398 4.28623i −0.286173 0.165222i 0.350042 0.936734i \(-0.386167\pi\)
−0.636215 + 0.771512i \(0.719501\pi\)
\(674\) 6.95390 15.7347i 0.267854 0.606078i
\(675\) 29.3636 + 20.6390i 1.13020 + 0.794394i
\(676\) −27.5440 + 9.92419i −1.05938 + 0.381700i
\(677\) 16.6084 + 5.63780i 0.638314 + 0.216678i 0.621788 0.783185i \(-0.286406\pi\)
0.0165250 + 0.999863i \(0.494740\pi\)
\(678\) −4.86823 + 7.48392i −0.186963 + 0.287418i
\(679\) 1.46164 + 1.12156i 0.0560927 + 0.0430415i
\(680\) −27.1180 + 46.4468i −1.03993 + 1.78115i
\(681\) −1.98928 + 20.8470i −0.0762294 + 0.798858i
\(682\) −14.8844 13.6835i −0.569952 0.523967i
\(683\) 15.5797 + 10.4100i 0.596140 + 0.398328i 0.816714 0.577042i \(-0.195793\pi\)
−0.220575 + 0.975370i \(0.570793\pi\)
\(684\) −20.7945 + 19.1635i −0.795098 + 0.732735i
\(685\) 6.19629 31.1509i 0.236748 1.19021i
\(686\) 4.83354 + 2.94380i 0.184546 + 0.112395i
\(687\) 20.3890 + 32.5670i 0.777889 + 1.24251i
\(688\) 35.4152 + 5.68621i 1.35019 + 0.216785i
\(689\) −9.45960 2.53469i −0.360382 0.0965641i
\(690\) −27.7189 46.6723i −1.05524 1.77678i
\(691\) 7.86405 8.96723i 0.299162 0.341129i −0.582656 0.812719i \(-0.697986\pi\)
0.881818 + 0.471590i \(0.156320\pi\)
\(692\) −2.49041 4.13423i −0.0946712 0.157160i
\(693\) 0.0139774 + 2.29897i 0.000530956 + 0.0873307i
\(694\) −38.7214 + 24.5801i −1.46984 + 0.933048i
\(695\) −15.9258 20.7549i −0.604099 0.787277i
\(696\) 21.5842 34.5695i 0.818146 1.31035i
\(697\) −40.1936 + 52.3814i −1.52244 + 1.98409i
\(698\) 21.1567 + 1.88553i 0.800794 + 0.0713685i
\(699\) −9.01589 + 14.5975i −0.341012 + 0.552128i
\(700\) −2.14515 + 3.34324i −0.0810790 + 0.126363i
\(701\) −14.3108 + 9.56218i −0.540512 + 0.361159i −0.795660 0.605743i \(-0.792876\pi\)
0.255148 + 0.966902i \(0.417876\pi\)
\(702\) −36.8049 11.7426i −1.38911 0.443197i
\(703\) 16.4314 0.619720
\(704\) 9.61557 19.0297i 0.362401 0.717207i
\(705\) −12.7243 + 13.6686i −0.479224 + 0.514790i
\(706\) −4.66417 3.75583i −0.175538 0.141353i
\(707\) 0.928241 + 0.457758i 0.0349101 + 0.0172158i
\(708\) −6.78281 + 1.73692i −0.254914 + 0.0652774i
\(709\) 1.55184 4.57159i 0.0582808 0.171690i −0.913891 0.405961i \(-0.866937\pi\)
0.972171 + 0.234271i \(0.0752703\pi\)
\(710\) −15.5671 + 22.1556i −0.584221 + 0.831483i
\(711\) 0.265489 4.46650i 0.00995660 0.167507i
\(712\) −2.98813 0.210449i −0.111985 0.00788693i
\(713\) −20.9720 27.3313i −0.785409 1.02357i
\(714\) 3.65966 1.29281i 0.136959 0.0483823i
\(715\) −48.2450 3.16215i −1.80426 0.118258i
\(716\) −15.0902 8.34254i −0.563949 0.311776i
\(717\) 23.6007 + 10.6070i 0.881385 + 0.396126i
\(718\) 47.1025 11.4450i 1.75785 0.427125i
\(719\) 19.7542 19.7542i 0.736708 0.736708i −0.235231 0.971939i \(-0.575585\pi\)
0.971939 + 0.235231i \(0.0755848\pi\)
\(720\) −8.97872 + 40.4232i −0.334617 + 1.50648i
\(721\) −0.175610 0.175610i −0.00654005 0.00654005i
\(722\) 3.88023 + 2.36319i 0.144407 + 0.0879490i
\(723\) 10.1637 1.03224i 0.377991 0.0383894i
\(724\) −2.55900 + 2.04021i −0.0951046 + 0.0758240i
\(725\) −3.75816 + 57.3385i −0.139575 + 2.12950i
\(726\) −5.40083 7.87110i −0.200443 0.292124i
\(727\) 24.9131 19.1165i 0.923976 0.708992i −0.0329090 0.999458i \(-0.510477\pi\)
0.956885 + 0.290467i \(0.0938105\pi\)
\(728\) 1.12670 4.12456i 0.0417581 0.152866i
\(729\) −15.4073 22.1724i −0.570642 0.821199i
\(730\) 65.1603 11.3806i 2.41169 0.421217i
\(731\) 46.7923 + 15.8839i 1.73068 + 0.587485i
\(732\) −23.5231 10.0512i −0.869438 0.371503i
\(733\) −0.842326 + 1.70807i −0.0311120 + 0.0630889i −0.911874 0.410471i \(-0.865364\pi\)
0.880762 + 0.473560i \(0.157031\pi\)
\(734\) 9.44999 1.01944i 0.348806 0.0376284i
\(735\) −39.5264 + 12.1215i −1.45795 + 0.447109i
\(736\) 21.7186 29.1225i 0.800557 1.07347i
\(737\) 32.3155i 1.19036i
\(738\) −17.1728 + 47.8446i −0.632139 + 1.76118i
\(739\) −9.42904 14.1116i −0.346853 0.519102i 0.616495 0.787359i \(-0.288552\pi\)
−0.963347 + 0.268257i \(0.913552\pi\)
\(740\) 19.7541 13.7368i 0.726175 0.504973i
\(741\) −1.27377 + 42.8970i −0.0467932 + 1.57586i
\(742\) 0.581073 0.485976i 0.0213319 0.0178407i
\(743\) −0.932161 0.715272i −0.0341977 0.0262408i 0.591521 0.806289i \(-0.298528\pi\)
−0.625719 + 0.780049i \(0.715194\pi\)
\(744\) −2.62351 + 26.1483i −0.0961825 + 0.958641i
\(745\) −41.5154 + 31.8559i −1.52101 + 1.16711i
\(746\) 35.0418 + 7.82818i 1.28297 + 0.286610i
\(747\) 10.9785 + 18.7511i 0.401682 + 0.686066i
\(748\) 17.4452 23.6313i 0.637861 0.864044i
\(749\) −0.307378 0.269564i −0.0112314 0.00984964i
\(750\) −4.36411 15.5193i −0.159355 0.566684i
\(751\) 5.38973 20.1147i 0.196674 0.733997i −0.795153 0.606409i \(-0.792610\pi\)
0.991827 0.127589i \(-0.0407237\pi\)
\(752\) −11.7164 4.35064i −0.427253 0.158652i
\(753\) −0.740510 20.6962i −0.0269857 0.754210i
\(754\) −14.6036 60.1017i −0.531831 2.18878i
\(755\) −22.2753 4.43084i −0.810683 0.161255i
\(756\) 2.37984 1.80717i 0.0865539 0.0657261i
\(757\) −15.9957 + 23.9392i −0.581373 + 0.870086i −0.999262 0.0384120i \(-0.987770\pi\)
0.417889 + 0.908498i \(0.362770\pi\)
\(758\) −9.04527 + 0.380237i −0.328539 + 0.0138108i
\(759\) 12.3170 + 26.9658i 0.447079 + 0.978797i
\(760\) 45.9148 2.78527i 1.66551 0.101032i
\(761\) 3.15083 4.10625i 0.114218 0.148851i −0.732746 0.680502i \(-0.761762\pi\)
0.846963 + 0.531651i \(0.178428\pi\)
\(762\) −4.79736 + 14.7265i −0.173790 + 0.533486i
\(763\) −1.15160 + 3.39251i −0.0416908 + 0.122817i
\(764\) −10.7140 + 9.75386i −0.387619 + 0.352882i
\(765\) −21.5098 + 52.8356i −0.777689 + 1.91028i
\(766\) −18.6275 48.1312i −0.673038 1.73905i
\(767\) −5.31300 + 9.20238i −0.191841 + 0.332279i
\(768\) −27.2871 + 4.83906i −0.984637 + 0.174615i
\(769\) 18.9820 + 32.8779i 0.684510 + 1.18561i 0.973590 + 0.228302i \(0.0733172\pi\)
−0.289080 + 0.957305i \(0.593349\pi\)
\(770\) 2.34552 2.91277i 0.0845265 0.104969i
\(771\) −25.9106 + 9.84209i −0.933148 + 0.354454i
\(772\) 10.8870 + 49.8726i 0.391831 + 1.79495i