Properties

Label 384.2.w.a.227.5
Level $384$
Weight $2$
Character 384.227
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 227.5
Character \(\chi\) \(=\) 384.227
Dual form 384.2.w.a.203.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38570 + 0.282536i) q^{2} +(0.297411 + 1.70633i) q^{3} +(1.84035 - 0.783022i) q^{4} +(-1.06178 - 1.98646i) q^{5} +(-0.894221 - 2.28043i) q^{6} +(1.02659 - 0.204202i) q^{7} +(-2.32894 + 1.60500i) q^{8} +(-2.82309 + 1.01496i) q^{9} +O(q^{10})\) \(q+(-1.38570 + 0.282536i) q^{2} +(0.297411 + 1.70633i) q^{3} +(1.84035 - 0.783022i) q^{4} +(-1.06178 - 1.98646i) q^{5} +(-0.894221 - 2.28043i) q^{6} +(1.02659 - 0.204202i) q^{7} +(-2.32894 + 1.60500i) q^{8} +(-2.82309 + 1.01496i) q^{9} +(2.03256 + 2.45265i) q^{10} +(3.73656 - 4.55301i) q^{11} +(1.88343 + 2.90735i) q^{12} +(1.37071 - 2.56441i) q^{13} +(-1.36486 + 0.573012i) q^{14} +(3.07376 - 2.40254i) q^{15} +(2.77375 - 2.88206i) q^{16} +(-0.811719 - 0.336225i) q^{17} +(3.62521 - 2.20406i) q^{18} +(-3.88118 + 1.17734i) q^{19} +(-3.50949 - 2.82437i) q^{20} +(0.653754 + 1.69097i) q^{21} +(-3.89137 + 7.36483i) q^{22} +(5.89204 - 3.93693i) q^{23} +(-3.43131 - 3.49659i) q^{24} +(-0.0407831 + 0.0610362i) q^{25} +(-1.17486 + 3.94079i) q^{26} +(-2.57147 - 4.51526i) q^{27} +(1.72939 - 1.17964i) q^{28} +(4.65152 + 5.66790i) q^{29} +(-3.58051 + 4.19766i) q^{30} +(-1.43245 - 1.43245i) q^{31} +(-3.02931 + 4.77737i) q^{32} +(8.88020 + 5.02167i) q^{33} +(1.21980 + 0.236568i) q^{34} +(-1.49566 - 1.82246i) q^{35} +(-4.40074 + 4.07842i) q^{36} +(4.85815 + 1.47370i) q^{37} +(5.04552 - 2.72802i) q^{38} +(4.78339 + 1.57619i) q^{39} +(5.66110 + 2.92219i) q^{40} +(-5.92688 + 3.96021i) q^{41} +(-1.38367 - 2.15847i) q^{42} +(8.34816 - 0.822222i) q^{43} +(3.31145 - 11.3049i) q^{44} +(5.01369 + 4.53029i) q^{45} +(-7.05229 + 7.12014i) q^{46} +(5.52710 + 2.28940i) q^{47} +(5.74268 + 3.87577i) q^{48} +(-5.45497 + 2.25952i) q^{49} +(0.0392683 - 0.0961007i) q^{50} +(0.332296 - 1.48505i) q^{51} +(0.514586 - 5.79271i) q^{52} +(7.96196 - 9.70168i) q^{53} +(4.83902 + 5.53027i) q^{54} +(-13.0118 - 2.58820i) q^{55} +(-2.06313 + 2.12325i) q^{56} +(-3.16323 - 6.27240i) q^{57} +(-8.04702 - 6.53980i) q^{58} +(-4.52219 - 8.46043i) q^{59} +(3.77554 - 6.82834i) q^{60} +(4.37165 + 0.430569i) q^{61} +(2.38967 + 1.58023i) q^{62} +(-2.69091 + 1.61843i) q^{63} +(2.84795 - 7.47591i) q^{64} -6.54950 q^{65} +(-13.7241 - 4.44956i) q^{66} +(-0.598402 + 6.07568i) q^{67} +(-1.75712 + 0.0168231i) q^{68} +(8.47005 + 8.88285i) q^{69} +(2.58745 + 2.10282i) q^{70} +(-12.4452 + 2.47550i) q^{71} +(4.94581 - 6.89485i) q^{72} +(-0.913511 + 4.59253i) q^{73} +(-7.14833 - 0.669514i) q^{74} +(-0.116277 - 0.0514364i) q^{75} +(-6.22083 + 5.20577i) q^{76} +(2.90618 - 5.43708i) q^{77} +(-7.07369 - 0.832652i) q^{78} +(-3.71073 - 8.95849i) q^{79} +(-8.67023 - 2.44982i) q^{80} +(6.93972 - 5.73065i) q^{81} +(7.09399 - 7.16223i) q^{82} +(-5.51799 + 1.67386i) q^{83} +(2.52720 + 2.60006i) q^{84} +(0.193974 + 1.96945i) q^{85} +(-11.3358 + 3.49801i) q^{86} +(-8.28786 + 9.62271i) q^{87} +(-1.39465 + 16.6009i) q^{88} +(-3.19254 + 4.77797i) q^{89} +(-8.22746 - 4.86109i) q^{90} +(0.883499 - 2.91250i) q^{91} +(7.76069 - 11.8589i) q^{92} +(2.01820 - 2.87025i) q^{93} +(-8.30577 - 1.61083i) q^{94} +(6.45972 + 6.45972i) q^{95} +(-9.05270 - 3.74815i) q^{96} +(-4.81404 + 4.81404i) q^{97} +(6.92057 - 4.67225i) q^{98} +(-5.92753 + 16.6460i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{27}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38570 + 0.282536i −0.979840 + 0.199783i
\(3\) 0.297411 + 1.70633i 0.171710 + 0.985148i
\(4\) 1.84035 0.783022i 0.920173 0.391511i
\(5\) −1.06178 1.98646i −0.474845 0.888372i −0.999317 0.0369444i \(-0.988238\pi\)
0.524473 0.851427i \(-0.324262\pi\)
\(6\) −0.894221 2.28043i −0.365064 0.930982i
\(7\) 1.02659 0.204202i 0.388015 0.0771809i 0.00277194 0.999996i \(-0.499118\pi\)
0.385243 + 0.922815i \(0.374118\pi\)
\(8\) −2.32894 + 1.60500i −0.823406 + 0.567453i
\(9\) −2.82309 + 1.01496i −0.941031 + 0.338320i
\(10\) 2.03256 + 2.45265i 0.642753 + 0.775596i
\(11\) 3.73656 4.55301i 1.12661 1.37278i 0.207763 0.978179i \(-0.433382\pi\)
0.918851 0.394604i \(-0.129118\pi\)
\(12\) 1.88343 + 2.90735i 0.543699 + 0.839280i
\(13\) 1.37071 2.56441i 0.380166 0.711241i −0.616961 0.786994i \(-0.711636\pi\)
0.997127 + 0.0757535i \(0.0241362\pi\)
\(14\) −1.36486 + 0.573012i −0.364773 + 0.153144i
\(15\) 3.07376 2.40254i 0.793641 0.620334i
\(16\) 2.77375 2.88206i 0.693438 0.720516i
\(17\) −0.811719 0.336225i −0.196871 0.0815466i 0.282070 0.959394i \(-0.408979\pi\)
−0.478941 + 0.877847i \(0.658979\pi\)
\(18\) 3.62521 2.20406i 0.854470 0.519501i
\(19\) −3.88118 + 1.17734i −0.890404 + 0.270101i −0.702158 0.712021i \(-0.747780\pi\)
−0.188246 + 0.982122i \(0.560280\pi\)
\(20\) −3.50949 2.82437i −0.784747 0.631549i
\(21\) 0.653754 + 1.69097i 0.142661 + 0.368999i
\(22\) −3.89137 + 7.36483i −0.829643 + 1.57019i
\(23\) 5.89204 3.93693i 1.22857 0.820908i 0.239873 0.970804i \(-0.422894\pi\)
0.988702 + 0.149897i \(0.0478941\pi\)
\(24\) −3.43131 3.49659i −0.700412 0.713739i
\(25\) −0.0407831 + 0.0610362i −0.00815662 + 0.0122072i
\(26\) −1.17486 + 3.94079i −0.230408 + 0.772853i
\(27\) −2.57147 4.51526i −0.494879 0.868962i
\(28\) 1.72939 1.17964i 0.326824 0.222932i
\(29\) 4.65152 + 5.66790i 0.863766 + 1.05250i 0.998103 + 0.0615664i \(0.0196096\pi\)
−0.134337 + 0.990936i \(0.542890\pi\)
\(30\) −3.58051 + 4.19766i −0.653709 + 0.766385i
\(31\) −1.43245 1.43245i −0.257275 0.257275i 0.566670 0.823945i \(-0.308232\pi\)
−0.823945 + 0.566670i \(0.808232\pi\)
\(32\) −3.02931 + 4.77737i −0.535512 + 0.844528i
\(33\) 8.88020 + 5.02167i 1.54584 + 0.874160i
\(34\) 1.21980 + 0.236568i 0.209194 + 0.0405711i
\(35\) −1.49566 1.82246i −0.252812 0.308052i
\(36\) −4.40074 + 4.07842i −0.733456 + 0.679737i
\(37\) 4.85815 + 1.47370i 0.798675 + 0.242275i 0.663138 0.748497i \(-0.269224\pi\)
0.135537 + 0.990772i \(0.456724\pi\)
\(38\) 5.04552 2.72802i 0.818492 0.442543i
\(39\) 4.78339 + 1.57619i 0.765955 + 0.252392i
\(40\) 5.66110 + 2.92219i 0.895099 + 0.462038i
\(41\) −5.92688 + 3.96021i −0.925623 + 0.618481i −0.924361 0.381518i \(-0.875401\pi\)
−0.00126114 + 0.999999i \(0.500401\pi\)
\(42\) −1.38367 2.15847i −0.213504 0.333059i
\(43\) 8.34816 0.822222i 1.27308 0.125388i 0.561196 0.827683i \(-0.310341\pi\)
0.711886 + 0.702295i \(0.247841\pi\)
\(44\) 3.31145 11.3049i 0.499221 1.70428i
\(45\) 5.01369 + 4.53029i 0.747397 + 0.675336i
\(46\) −7.05229 + 7.12014i −1.03980 + 1.04981i
\(47\) 5.52710 + 2.28940i 0.806211 + 0.333944i 0.747441 0.664328i \(-0.231282\pi\)
0.0587699 + 0.998272i \(0.481282\pi\)
\(48\) 5.74268 + 3.87577i 0.828885 + 0.559419i
\(49\) −5.45497 + 2.25952i −0.779281 + 0.322789i
\(50\) 0.0392683 0.0961007i 0.00555338 0.0135907i
\(51\) 0.332296 1.48505i 0.0465307 0.207949i
\(52\) 0.514586 5.79271i 0.0713602 0.803304i
\(53\) 7.96196 9.70168i 1.09366 1.33263i 0.154949 0.987922i \(-0.450479\pi\)
0.938711 0.344706i \(-0.112021\pi\)
\(54\) 4.83902 + 5.53027i 0.658507 + 0.752575i
\(55\) −13.0118 2.58820i −1.75451 0.348993i
\(56\) −2.06313 + 2.12325i −0.275697 + 0.283732i
\(57\) −3.16323 6.27240i −0.418981 0.830800i
\(58\) −8.04702 6.53980i −1.05662 0.858718i
\(59\) −4.52219 8.46043i −0.588739 1.10145i −0.983198 0.182540i \(-0.941568\pi\)
0.394459 0.918913i \(-0.370932\pi\)
\(60\) 3.77554 6.82834i 0.487420 0.881535i
\(61\) 4.37165 + 0.430569i 0.559732 + 0.0551288i 0.373927 0.927458i \(-0.378011\pi\)
0.185804 + 0.982587i \(0.440511\pi\)
\(62\) 2.38967 + 1.58023i 0.303488 + 0.200689i
\(63\) −2.69091 + 1.61843i −0.339022 + 0.203903i
\(64\) 2.84795 7.47591i 0.355994 0.934488i
\(65\) −6.54950 −0.812366
\(66\) −13.7241 4.44956i −1.68932 0.547704i
\(67\) −0.598402 + 6.07568i −0.0731064 + 0.742262i 0.886840 + 0.462077i \(0.152896\pi\)
−0.959946 + 0.280185i \(0.909604\pi\)
\(68\) −1.75712 + 0.0168231i −0.213082 + 0.00204010i
\(69\) 8.47005 + 8.88285i 1.01967 + 1.06937i
\(70\) 2.58745 + 2.10282i 0.309259 + 0.251335i
\(71\) −12.4452 + 2.47550i −1.47697 + 0.293788i −0.866870 0.498534i \(-0.833872\pi\)
−0.610103 + 0.792322i \(0.708872\pi\)
\(72\) 4.94581 6.89485i 0.582870 0.812566i
\(73\) −0.913511 + 4.59253i −0.106918 + 0.537515i 0.889785 + 0.456380i \(0.150854\pi\)
−0.996703 + 0.0811346i \(0.974146\pi\)
\(74\) −7.14833 0.669514i −0.830976 0.0778294i
\(75\) −0.116277 0.0514364i −0.0134265 0.00593936i
\(76\) −6.22083 + 5.20577i −0.713578 + 0.597143i
\(77\) 2.90618 5.43708i 0.331190 0.619613i
\(78\) −7.07369 0.832652i −0.800937 0.0942793i
\(79\) −3.71073 8.95849i −0.417490 1.00791i −0.983072 0.183218i \(-0.941349\pi\)
0.565583 0.824692i \(-0.308651\pi\)
\(80\) −8.67023 2.44982i −0.969361 0.273898i
\(81\) 6.93972 5.73065i 0.771080 0.636739i
\(82\) 7.09399 7.16223i 0.783400 0.790936i
\(83\) −5.51799 + 1.67386i −0.605678 + 0.183731i −0.578204 0.815892i \(-0.696246\pi\)
−0.0274741 + 0.999623i \(0.508746\pi\)
\(84\) 2.52720 + 2.60006i 0.275740 + 0.283690i
\(85\) 0.193974 + 1.96945i 0.0210394 + 0.213616i
\(86\) −11.3358 + 3.49801i −1.22237 + 0.377200i
\(87\) −8.28786 + 9.62271i −0.888552 + 1.03166i
\(88\) −1.39465 + 16.6009i −0.148670 + 1.76966i
\(89\) −3.19254 + 4.77797i −0.338408 + 0.506463i −0.961173 0.275945i \(-0.911009\pi\)
0.622765 + 0.782409i \(0.286009\pi\)
\(90\) −8.22746 4.86109i −0.867250 0.512404i
\(91\) 0.883499 2.91250i 0.0926158 0.305313i
\(92\) 7.76069 11.8589i 0.809108 1.23638i
\(93\) 2.01820 2.87025i 0.209277 0.297631i
\(94\) −8.30577 1.61083i −0.856674 0.166144i
\(95\) 6.45972 + 6.45972i 0.662753 + 0.662753i
\(96\) −9.05270 3.74815i −0.923937 0.382544i
\(97\) −4.81404 + 4.81404i −0.488792 + 0.488792i −0.907925 0.419133i \(-0.862334\pi\)
0.419133 + 0.907925i \(0.362334\pi\)
\(98\) 6.92057 4.67225i 0.699083 0.471968i
\(99\) −5.92753 + 16.6460i −0.595739 + 1.67299i
\(100\) −0.0272623 + 0.144262i −0.00272623 + 0.0144262i
\(101\) −1.63025 0.494532i −0.162216 0.0492078i 0.208132 0.978101i \(-0.433262\pi\)
−0.370348 + 0.928893i \(0.620762\pi\)
\(102\) −0.0408818 + 2.15173i −0.00404790 + 0.213053i
\(103\) 0.240576 + 0.160748i 0.0237047 + 0.0158389i 0.567366 0.823466i \(-0.307962\pi\)
−0.543661 + 0.839305i \(0.682962\pi\)
\(104\) 0.923585 + 8.17236i 0.0905649 + 0.801366i
\(105\) 2.66489 3.09410i 0.260067 0.301953i
\(106\) −8.29184 + 15.6932i −0.805375 + 1.52426i
\(107\) 7.56538 0.745125i 0.731373 0.0720340i 0.274527 0.961579i \(-0.411479\pi\)
0.456847 + 0.889546i \(0.348979\pi\)
\(108\) −8.26794 6.29612i −0.795583 0.605845i
\(109\) 0.160317 + 0.528493i 0.0153555 + 0.0506205i 0.964283 0.264873i \(-0.0853300\pi\)
−0.948928 + 0.315493i \(0.897830\pi\)
\(110\) 18.7617 0.0898128i 1.78886 0.00856332i
\(111\) −1.06975 + 8.72788i −0.101536 + 0.828414i
\(112\) 2.25899 3.52511i 0.213454 0.333091i
\(113\) −9.97901 + 4.13344i −0.938746 + 0.388841i −0.798990 0.601345i \(-0.794632\pi\)
−0.139756 + 0.990186i \(0.544632\pi\)
\(114\) 6.15548 + 7.79796i 0.576514 + 0.730346i
\(115\) −14.0766 7.52412i −1.31265 0.701628i
\(116\) 12.9985 + 6.78865i 1.20688 + 0.630311i
\(117\) −1.26686 + 8.63079i −0.117121 + 0.797917i
\(118\) 8.65679 + 10.4460i 0.796922 + 0.961628i
\(119\) −0.901961 0.179411i −0.0826827 0.0164466i
\(120\) −3.30253 + 10.5288i −0.301478 + 0.961141i
\(121\) −4.62202 23.2365i −0.420184 2.11241i
\(122\) −6.17945 + 0.638505i −0.559461 + 0.0578076i
\(123\) −8.52013 8.93537i −0.768234 0.805675i
\(124\) −3.75784 1.51456i −0.337464 0.136012i
\(125\) −11.0433 1.08767i −0.987746 0.0972845i
\(126\) 3.27153 3.00294i 0.291451 0.267523i
\(127\) 7.76343i 0.688893i −0.938806 0.344446i \(-0.888067\pi\)
0.938806 0.344446i \(-0.111933\pi\)
\(128\) −1.83420 + 11.1640i −0.162122 + 0.986771i
\(129\) 3.88581 + 14.0001i 0.342126 + 1.23264i
\(130\) 9.07567 1.85047i 0.795988 0.162297i
\(131\) 1.64667 16.7189i 0.143870 1.46074i −0.604048 0.796948i \(-0.706446\pi\)
0.747918 0.663791i \(-0.231054\pi\)
\(132\) 20.2747 + 2.28822i 1.76469 + 0.199164i
\(133\) −3.74397 + 2.00119i −0.324643 + 0.173525i
\(134\) −0.887390 8.58815i −0.0766588 0.741904i
\(135\) −6.23903 + 9.90235i −0.536970 + 0.852259i
\(136\) 2.43009 0.519761i 0.208378 0.0445691i
\(137\) −2.20234 + 11.0719i −0.188159 + 0.945939i 0.765129 + 0.643877i \(0.222675\pi\)
−0.953288 + 0.302062i \(0.902325\pi\)
\(138\) −14.2467 9.91590i −1.21276 0.844098i
\(139\) −5.76760 4.73335i −0.489202 0.401477i 0.357196 0.934030i \(-0.383733\pi\)
−0.846397 + 0.532552i \(0.821233\pi\)
\(140\) −4.17956 2.18283i −0.353237 0.184483i
\(141\) −2.26264 + 10.1119i −0.190549 + 0.851578i
\(142\) 16.5459 6.94653i 1.38850 0.582940i
\(143\) −6.55407 15.8229i −0.548079 1.32318i
\(144\) −4.90539 + 10.9516i −0.408782 + 0.912632i
\(145\) 6.32013 15.2581i 0.524858 1.26712i
\(146\) −0.0316996 6.62198i −0.00262348 0.548039i
\(147\) −5.47784 8.63594i −0.451805 0.712281i
\(148\) 10.0946 1.09191i 0.829773 0.0897546i
\(149\) 1.25726 + 12.7651i 0.102998 + 1.04576i 0.898251 + 0.439483i \(0.144838\pi\)
−0.795253 + 0.606278i \(0.792662\pi\)
\(150\) 0.175658 + 0.0384232i 0.0143424 + 0.00313724i
\(151\) −1.47190 2.20285i −0.119781 0.179265i 0.766734 0.641965i \(-0.221881\pi\)
−0.886515 + 0.462700i \(0.846881\pi\)
\(152\) 7.14941 8.97126i 0.579894 0.727665i
\(153\) 2.63281 + 0.125333i 0.212850 + 0.0101326i
\(154\) −2.49093 + 8.35529i −0.200725 + 0.673288i
\(155\) −1.32455 + 4.36645i −0.106390 + 0.350722i
\(156\) 10.0373 0.844762i 0.803626 0.0676351i
\(157\) 1.28132 1.05155i 0.102260 0.0839229i −0.581874 0.813279i \(-0.697680\pi\)
0.684134 + 0.729356i \(0.260180\pi\)
\(158\) 7.67307 + 11.3654i 0.610436 + 0.904183i
\(159\) 18.9222 + 10.7003i 1.50063 + 0.848590i
\(160\) 12.7065 + 0.945068i 1.00454 + 0.0747141i
\(161\) 5.24478 5.24478i 0.413347 0.413347i
\(162\) −7.99727 + 9.90170i −0.628325 + 0.777951i
\(163\) 11.4402 9.38872i 0.896064 0.735381i −0.0689383 0.997621i \(-0.521961\pi\)
0.965003 + 0.262240i \(0.0844611\pi\)
\(164\) −7.80658 + 11.9290i −0.609591 + 0.931501i
\(165\) 0.546475 22.9721i 0.0425431 1.78837i
\(166\) 7.17337 3.87851i 0.556762 0.301031i
\(167\) 17.0263 + 11.3766i 1.31754 + 0.880349i 0.997744 0.0671386i \(-0.0213870\pi\)
0.319792 + 0.947488i \(0.396387\pi\)
\(168\) −4.23656 2.88889i −0.326857 0.222883i
\(169\) 2.52503 + 3.77898i 0.194233 + 0.290691i
\(170\) −0.825229 2.67426i −0.0632922 0.205107i
\(171\) 9.76198 7.26299i 0.746517 0.555415i
\(172\) 14.7197 8.04996i 1.12237 0.613804i
\(173\) 1.42311 + 4.69138i 0.108197 + 0.356679i 0.994274 0.106860i \(-0.0340796\pi\)
−0.886077 + 0.463538i \(0.846580\pi\)
\(174\) 8.76576 15.6758i 0.664531 1.18838i
\(175\) −0.0294038 + 0.0709872i −0.00222272 + 0.00536613i
\(176\) −2.75777 23.3979i −0.207875 1.76368i
\(177\) 13.0913 10.2326i 0.984002 0.769126i
\(178\) 3.07396 7.52285i 0.230403 0.563861i
\(179\) 14.0997 + 7.53643i 1.05386 + 0.563300i 0.904935 0.425549i \(-0.139919\pi\)
0.148924 + 0.988849i \(0.452419\pi\)
\(180\) 12.7743 + 4.41148i 0.952137 + 0.328812i
\(181\) −1.80573 1.48193i −0.134219 0.110151i 0.564889 0.825167i \(-0.308919\pi\)
−0.699108 + 0.715016i \(0.746419\pi\)
\(182\) −0.401380 + 4.28549i −0.0297522 + 0.317661i
\(183\) 0.565483 + 7.58751i 0.0418017 + 0.560885i
\(184\) −7.40344 + 18.6256i −0.545789 + 1.37310i
\(185\) −2.23086 11.2153i −0.164016 0.824563i
\(186\) −1.98567 + 4.54752i −0.145597 + 0.333441i
\(187\) −4.56387 + 2.43944i −0.333743 + 0.178389i
\(188\) 11.9644 0.114551i 0.872597 0.00835447i
\(189\) −3.56187 4.11022i −0.259088 0.298975i
\(190\) −10.7764 7.12615i −0.781799 0.516985i
\(191\) 12.0566i 0.872386i 0.899853 + 0.436193i \(0.143674\pi\)
−0.899853 + 0.436193i \(0.856326\pi\)
\(192\) 13.6033 + 2.63611i 0.981737 + 0.190245i
\(193\) 7.30055i 0.525505i 0.964863 + 0.262753i \(0.0846303\pi\)
−0.964863 + 0.262753i \(0.915370\pi\)
\(194\) 5.31069 8.03097i 0.381285 0.576590i
\(195\) −1.94789 11.1756i −0.139491 0.800300i
\(196\) −8.26978 + 8.42966i −0.590698 + 0.602119i
\(197\) −17.2002 + 9.19372i −1.22547 + 0.655026i −0.951776 0.306792i \(-0.900744\pi\)
−0.273690 + 0.961818i \(0.588244\pi\)
\(198\) 3.51070 24.7412i 0.249495 1.75828i
\(199\) −2.62558 13.1997i −0.186122 0.935700i −0.955068 0.296386i \(-0.904219\pi\)
0.768946 0.639314i \(-0.220781\pi\)
\(200\) −0.00298164 0.207607i −0.000210834 0.0146800i
\(201\) −10.5451 + 0.785903i −0.743791 + 0.0554333i
\(202\) 2.39877 + 0.224669i 0.168777 + 0.0158077i
\(203\) 5.93260 + 4.86876i 0.416387 + 0.341720i
\(204\) −0.551291 2.99321i −0.0385981 0.209567i
\(205\) 14.1599 + 7.56861i 0.988968 + 0.528614i
\(206\) −0.378784 0.154777i −0.0263911 0.0107838i
\(207\) −12.6379 + 17.0945i −0.878398 + 1.18815i
\(208\) −3.58880 11.0635i −0.248838 0.767117i
\(209\) −9.14179 + 22.0702i −0.632351 + 1.52663i
\(210\) −2.81855 + 5.04043i −0.194499 + 0.347823i
\(211\) 7.87720 + 25.9676i 0.542289 + 1.78769i 0.612875 + 0.790180i \(0.290013\pi\)
−0.0705863 + 0.997506i \(0.522487\pi\)
\(212\) 7.05615 24.0888i 0.484618 1.65443i
\(213\) −7.92535 20.4993i −0.543036 1.40459i
\(214\) −10.2729 + 3.17001i −0.702238 + 0.216698i
\(215\) −10.4973 15.7102i −0.715907 1.07143i
\(216\) 13.2358 + 6.38857i 0.900582 + 0.434687i
\(217\) −1.76305 1.17803i −0.119683 0.0799698i
\(218\) −0.371470 0.687039i −0.0251591 0.0465322i
\(219\) −8.10804 0.192879i −0.547891 0.0130336i
\(220\) −25.9728 + 5.42532i −1.75109 + 0.365775i
\(221\) −1.97485 + 1.62072i −0.132843 + 0.109021i
\(222\) −0.983581 12.3965i −0.0660136 0.831998i
\(223\) −0.251929 + 0.251929i −0.0168704 + 0.0168704i −0.715492 0.698621i \(-0.753797\pi\)
0.698621 + 0.715492i \(0.253797\pi\)
\(224\) −2.13432 + 5.52299i −0.142605 + 0.369021i
\(225\) 0.0531852 0.213704i 0.00354568 0.0142469i
\(226\) 12.6601 8.54715i 0.842137 0.568548i
\(227\) 5.44414 4.46789i 0.361340 0.296544i −0.436152 0.899873i \(-0.643659\pi\)
0.797493 + 0.603328i \(0.206159\pi\)
\(228\) −10.7329 9.06651i −0.710802 0.600444i
\(229\) −7.14399 + 23.5506i −0.472088 + 1.55627i 0.320951 + 0.947096i \(0.395997\pi\)
−0.793039 + 0.609170i \(0.791503\pi\)
\(230\) 21.6319 + 6.44904i 1.42636 + 0.425237i
\(231\) 10.1418 + 3.34185i 0.667279 + 0.219877i
\(232\) −19.9301 5.73451i −1.30848 0.376489i
\(233\) −5.81312 8.69995i −0.380830 0.569953i 0.590693 0.806896i \(-0.298854\pi\)
−0.971523 + 0.236944i \(0.923854\pi\)
\(234\) −0.683015 12.3177i −0.0446501 0.805230i
\(235\) −1.32079 13.4102i −0.0861589 0.874786i
\(236\) −14.9471 12.0291i −0.972973 0.783031i
\(237\) 14.1825 8.99607i 0.921252 0.584357i
\(238\) 1.30054 0.00622572i 0.0843015 0.000403554i
\(239\) −6.79902 + 16.4143i −0.439792 + 1.06175i 0.536228 + 0.844073i \(0.319849\pi\)
−0.976020 + 0.217679i \(0.930151\pi\)
\(240\) 1.60157 15.5228i 0.103381 1.00199i
\(241\) 9.72586 + 23.4803i 0.626497 + 1.51250i 0.843947 + 0.536427i \(0.180226\pi\)
−0.217449 + 0.976072i \(0.569774\pi\)
\(242\) 12.9699 + 30.8930i 0.833736 + 1.98588i
\(243\) 11.8423 + 10.1371i 0.759684 + 0.650293i
\(244\) 8.38249 2.63070i 0.536634 0.168413i
\(245\) 10.2804 + 8.43694i 0.656794 + 0.539017i
\(246\) 14.3309 + 9.97453i 0.913707 + 0.635953i
\(247\) −2.30077 + 11.5667i −0.146394 + 0.735974i
\(248\) 5.63517 + 1.03701i 0.357833 + 0.0658502i
\(249\) −4.49727 8.91767i −0.285003 0.565134i
\(250\) 15.6101 1.61295i 0.987269 0.102012i
\(251\) −1.79872 + 0.961435i −0.113534 + 0.0606852i −0.527186 0.849750i \(-0.676753\pi\)
0.413652 + 0.910435i \(0.364253\pi\)
\(252\) −3.68494 + 5.08551i −0.232129 + 0.320357i
\(253\) 4.09104 41.5371i 0.257202 2.61141i
\(254\) 2.19345 + 10.7578i 0.137629 + 0.675005i
\(255\) −3.30283 + 0.916716i −0.206831 + 0.0574070i
\(256\) −0.612585 15.9883i −0.0382865 0.999267i
\(257\) 16.7852i 1.04703i 0.852016 + 0.523517i \(0.175380\pi\)
−0.852016 + 0.523517i \(0.824620\pi\)
\(258\) −9.34012 18.3021i −0.581490 1.13944i
\(259\) 5.28827 + 0.520849i 0.328597 + 0.0323640i
\(260\) −12.0534 + 5.12840i −0.747517 + 0.318050i
\(261\) −18.8844 11.2799i −1.16891 0.698208i
\(262\) 2.44190 + 23.6327i 0.150861 + 1.46003i
\(263\) 2.48368 + 12.4863i 0.153150 + 0.769938i 0.978650 + 0.205535i \(0.0658935\pi\)
−0.825500 + 0.564403i \(0.809106\pi\)
\(264\) −28.7413 + 2.55755i −1.76890 + 0.157406i
\(265\) −27.7259 5.51502i −1.70319 0.338785i
\(266\) 4.62262 3.83086i 0.283431 0.234885i
\(267\) −9.10226 4.02649i −0.557049 0.246417i
\(268\) 3.65612 + 11.6499i 0.223333 + 0.711632i
\(269\) 18.1380 + 9.69497i 1.10589 + 0.591112i 0.920182 0.391492i \(-0.128041\pi\)
0.185712 + 0.982604i \(0.440541\pi\)
\(270\) 5.84767 15.4845i 0.355878 0.942355i
\(271\) 14.7140 6.09473i 0.893810 0.370228i 0.111973 0.993711i \(-0.464283\pi\)
0.781837 + 0.623483i \(0.214283\pi\)
\(272\) −3.22053 + 1.40682i −0.195273 + 0.0853011i
\(273\) 5.23244 + 0.641326i 0.316682 + 0.0388148i
\(274\) −0.0764232 15.9646i −0.00461689 0.964460i
\(275\) 0.125510 + 0.413751i 0.00756853 + 0.0249501i
\(276\) 22.5433 + 9.71529i 1.35695 + 0.584792i
\(277\) −2.01581 + 0.198540i −0.121118 + 0.0119291i −0.158395 0.987376i \(-0.550632\pi\)
0.0372764 + 0.999305i \(0.488132\pi\)
\(278\) 9.32952 + 4.92946i 0.559548 + 0.295649i
\(279\) 5.49781 + 2.59006i 0.329145 + 0.155063i
\(280\) 6.40835 + 1.84388i 0.382972 + 0.110193i
\(281\) 14.3726 + 9.60345i 0.857396 + 0.572894i 0.904730 0.425985i \(-0.140072\pi\)
−0.0473339 + 0.998879i \(0.515072\pi\)
\(282\) 0.278369 14.6514i 0.0165766 0.872479i
\(283\) 20.1598 + 6.11541i 1.19838 + 0.363524i 0.825524 0.564367i \(-0.190880\pi\)
0.372853 + 0.927891i \(0.378380\pi\)
\(284\) −20.9651 + 14.3006i −1.24405 + 0.848587i
\(285\) −9.10120 + 12.9436i −0.539108 + 0.766711i
\(286\) 13.5525 + 20.0741i 0.801378 + 1.18701i
\(287\) −5.27579 + 5.27579i −0.311420 + 0.311420i
\(288\) 3.70320 16.5616i 0.218213 0.975901i
\(289\) −11.4750 11.4750i −0.674998 0.674998i
\(290\) −4.44685 + 22.9289i −0.261128 + 1.34643i
\(291\) −9.64607 6.78257i −0.565462 0.397601i
\(292\) 1.91487 + 9.16715i 0.112060 + 0.536467i
\(293\) 2.85797 9.42146i 0.166964 0.550407i −0.833032 0.553225i \(-0.813397\pi\)
0.999996 + 0.00281774i \(0.000896914\pi\)
\(294\) 10.0306 + 10.4192i 0.584998 + 0.607658i
\(295\) −12.0047 + 17.9663i −0.698941 + 1.04604i
\(296\) −13.6797 + 4.36516i −0.795114 + 0.253720i
\(297\) −30.1664 5.16360i −1.75043 0.299622i
\(298\) −5.34879 17.3335i −0.309847 1.00410i
\(299\) −2.01967 20.5060i −0.116800 1.18589i
\(300\) −0.254266 0.00361341i −0.0146800 0.000208620i
\(301\) 8.40224 2.54879i 0.484297 0.146910i
\(302\) 2.66199 + 2.63663i 0.153180 + 0.151721i
\(303\) 0.358978 2.92882i 0.0206227 0.168256i
\(304\) −7.37226 + 14.4515i −0.422828 + 0.828848i
\(305\) −3.78644 9.14127i −0.216811 0.523427i
\(306\) −3.68371 + 0.570190i −0.210584 + 0.0325956i
\(307\) −11.3533 + 21.2404i −0.647965 + 1.21226i 0.316637 + 0.948547i \(0.397446\pi\)
−0.964602 + 0.263710i \(0.915054\pi\)
\(308\) 1.09103 12.2817i 0.0621670 0.699816i
\(309\) −0.202738 + 0.458309i −0.0115334 + 0.0260723i
\(310\) 0.601752 6.42484i 0.0341772 0.364906i
\(311\) 4.33770 21.8071i 0.245968 1.23657i −0.638374 0.769727i \(-0.720393\pi\)
0.884342 0.466840i \(-0.154607\pi\)
\(312\) −13.6700 + 4.00648i −0.773913 + 0.226822i
\(313\) −7.06963 + 1.40624i −0.399599 + 0.0794852i −0.390799 0.920476i \(-0.627801\pi\)
−0.00880021 + 0.999961i \(0.502801\pi\)
\(314\) −1.47843 + 1.81916i −0.0834324 + 0.102661i
\(315\) 6.07210 + 3.62695i 0.342124 + 0.204356i
\(316\) −13.8437 13.5812i −0.778770 0.764000i
\(317\) 2.28661 23.2163i 0.128429 1.30396i −0.687661 0.726032i \(-0.741362\pi\)
0.816090 0.577925i \(-0.196138\pi\)
\(318\) −29.2438 9.48126i −1.63991 0.531683i
\(319\) 43.1866 2.41799
\(320\) −17.8745 + 2.28047i −0.999215 + 0.127482i
\(321\) 3.52145 + 12.6874i 0.196548 + 0.708141i
\(322\) −5.78587 + 8.74955i −0.322434 + 0.487594i
\(323\) 3.54628 + 0.349278i 0.197320 + 0.0194344i
\(324\) 8.28426 15.9803i 0.460237 0.887796i
\(325\) 0.100620 + 0.188248i 0.00558142 + 0.0104421i
\(326\) −13.2001 + 16.2422i −0.731083 + 0.899574i
\(327\) −0.854101 + 0.430732i −0.0472319 + 0.0238195i
\(328\) 7.44721 18.7357i 0.411204 1.03451i
\(329\) 6.14157 + 1.22164i 0.338596 + 0.0673509i
\(330\) 5.73319 + 31.9869i 0.315602 + 1.76082i
\(331\) −2.31595 + 2.82199i −0.127296 + 0.155111i −0.832758 0.553637i \(-0.813240\pi\)
0.705462 + 0.708748i \(0.250740\pi\)
\(332\) −8.84435 + 7.40120i −0.485397 + 0.406194i
\(333\) −15.2108 + 0.770420i −0.833545 + 0.0422188i
\(334\) −26.8077 10.9541i −1.46685 0.599380i
\(335\) 12.7045 5.26236i 0.694119 0.287513i
\(336\) 6.68682 + 2.80616i 0.364796 + 0.153089i
\(337\) 15.4828 + 6.41319i 0.843402 + 0.349349i 0.762194 0.647348i \(-0.224122\pi\)
0.0812082 + 0.996697i \(0.474122\pi\)
\(338\) −4.56664 4.52313i −0.248393 0.246026i
\(339\) −10.0209 15.7981i −0.544258 0.858035i
\(340\) 1.89910 + 3.47258i 0.102993 + 0.188327i
\(341\) −11.8744 + 1.16952i −0.643033 + 0.0633332i
\(342\) −11.4752 + 12.8225i −0.620505 + 0.693359i
\(343\) −11.2307 + 7.50414i −0.606403 + 0.405185i
\(344\) −18.1227 + 15.3137i −0.977111 + 0.825659i
\(345\) 8.65205 26.2571i 0.465811 1.41363i
\(346\) −3.29750 6.09877i −0.177274 0.327872i
\(347\) −16.3605 4.96291i −0.878278 0.266423i −0.181224 0.983442i \(-0.558006\pi\)
−0.697054 + 0.717019i \(0.745506\pi\)
\(348\) −7.71776 + 24.1987i −0.413715 + 1.29719i
\(349\) −5.79114 7.05653i −0.309993 0.377727i 0.594587 0.804031i \(-0.297315\pi\)
−0.904580 + 0.426304i \(0.859815\pi\)
\(350\) 0.0206886 0.106675i 0.00110585 0.00570201i
\(351\) −15.1037 + 0.405213i −0.806177 + 0.0216287i
\(352\) 10.4322 + 31.6434i 0.556038 + 1.68660i
\(353\) −3.12844 3.12844i −0.166510 0.166510i 0.618933 0.785443i \(-0.287565\pi\)
−0.785443 + 0.618933i \(0.787565\pi\)
\(354\) −15.2496 + 17.8780i −0.810506 + 0.950207i
\(355\) 18.1316 + 22.0934i 0.962326 + 1.17260i
\(356\) −2.13412 + 11.2929i −0.113108 + 0.598525i
\(357\) 0.0378810 1.59240i 0.00200488 0.0842787i
\(358\) −21.6673 6.45960i −1.14515 0.341400i
\(359\) −5.00480 + 7.49021i −0.264143 + 0.395318i −0.939706 0.341985i \(-0.888901\pi\)
0.675562 + 0.737303i \(0.263901\pi\)
\(360\) −18.9477 2.50382i −0.998633 0.131963i
\(361\) −2.12050 + 1.41688i −0.111605 + 0.0745724i
\(362\) 2.92091 + 1.54333i 0.153520 + 0.0811154i
\(363\) 38.2744 14.7975i 2.00888 0.776665i
\(364\) −0.654611 6.05182i −0.0343109 0.317201i
\(365\) 10.0928 3.06163i 0.528283 0.160253i
\(366\) −2.92733 10.3543i −0.153014 0.541226i
\(367\) −6.69310 2.77237i −0.349377 0.144717i 0.201092 0.979572i \(-0.435551\pi\)
−0.550469 + 0.834856i \(0.685551\pi\)
\(368\) 4.99657 27.9013i 0.260464 1.45446i
\(369\) 12.7127 17.1956i 0.661795 0.895166i
\(370\) 6.26002 + 14.9107i 0.325443 + 0.775173i
\(371\) 6.19258 11.5855i 0.321503 0.601489i
\(372\) 1.46672 6.86254i 0.0760457 0.355806i
\(373\) −7.97355 + 9.71580i −0.412855 + 0.503065i −0.937370 0.348336i \(-0.886747\pi\)
0.524515 + 0.851401i \(0.324247\pi\)
\(374\) 5.63494 4.66980i 0.291376 0.241469i
\(375\) −1.42848 19.1670i −0.0737664 0.989780i
\(376\) −16.5468 + 3.53912i −0.853336 + 0.182516i
\(377\) 20.9107 4.15940i 1.07696 0.214220i
\(378\) 6.09698 + 4.68919i 0.313595 + 0.241186i
\(379\) −9.49151 17.7574i −0.487546 0.912135i −0.998616 0.0525957i \(-0.983251\pi\)
0.511070 0.859539i \(-0.329249\pi\)
\(380\) 16.9462 + 6.83002i 0.869323 + 0.350373i
\(381\) 13.2469 2.30893i 0.678661 0.118290i
\(382\) −3.40643 16.7069i −0.174288 0.854799i
\(383\) 32.3407 1.65253 0.826265 0.563281i \(-0.190461\pi\)
0.826265 + 0.563281i \(0.190461\pi\)
\(384\) −19.5950 + 0.190562i −0.999953 + 0.00972458i
\(385\) −13.8863 −0.707711
\(386\) −2.06267 10.1164i −0.104987 0.514911i
\(387\) −22.7331 + 10.7942i −1.15559 + 0.548702i
\(388\) −5.09000 + 12.6290i −0.258406 + 0.641140i
\(389\) 4.53187 + 8.47853i 0.229775 + 0.429878i 0.970216 0.242243i \(-0.0778832\pi\)
−0.740441 + 0.672122i \(0.765383\pi\)
\(390\) 5.85670 + 14.9357i 0.296566 + 0.756298i
\(391\) −6.10638 + 1.21463i −0.308813 + 0.0614267i
\(392\) 9.07777 14.0175i 0.458497 0.707992i
\(393\) 29.0177 2.16263i 1.46375 0.109090i
\(394\) 21.2369 17.5995i 1.06990 0.886648i
\(395\) −13.8557 + 16.8832i −0.697155 + 0.849486i
\(396\) 2.12548 + 35.2758i 0.106809 + 1.77268i
\(397\) 3.15644 5.90528i 0.158417 0.296378i −0.790174 0.612883i \(-0.790010\pi\)
0.948591 + 0.316506i \(0.102510\pi\)
\(398\) 7.36765 + 17.5490i 0.369307 + 0.879652i
\(399\) −4.52818 5.79325i −0.226693 0.290025i
\(400\) 0.0627880 + 0.286839i 0.00313940 + 0.0143419i
\(401\) −30.6709 12.7043i −1.53163 0.634422i −0.551750 0.834010i \(-0.686040\pi\)
−0.979880 + 0.199588i \(0.936040\pi\)
\(402\) 14.3903 4.06838i 0.717721 0.202913i
\(403\) −5.63686 + 1.70992i −0.280792 + 0.0851773i
\(404\) −3.38746 + 0.366414i −0.168533 + 0.0182298i
\(405\) −18.7522 7.70075i −0.931804 0.382653i
\(406\) −9.59643 5.07049i −0.476263 0.251644i
\(407\) 24.8625 16.6126i 1.23239 0.823457i
\(408\) 1.60962 + 3.99194i 0.0796878 + 0.197631i
\(409\) −17.1101 + 25.6070i −0.846038 + 1.26619i 0.115995 + 0.993250i \(0.462994\pi\)
−0.962032 + 0.272935i \(0.912006\pi\)
\(410\) −21.7598 6.48717i −1.07464 0.320379i
\(411\) −19.5473 0.465005i −0.964198 0.0229370i
\(412\) 0.568612 + 0.107455i 0.0280135 + 0.00529394i
\(413\) −6.37007 7.76196i −0.313451 0.381941i
\(414\) 12.6826 27.2586i 0.623317 1.33969i
\(415\) 9.18398 + 9.18398i 0.450824 + 0.450824i
\(416\) 8.09885 + 14.3168i 0.397079 + 0.701938i
\(417\) 6.36129 11.2492i 0.311514 0.550873i
\(418\) 6.43218 33.1657i 0.314608 1.62219i
\(419\) −25.4619 31.0254i −1.24389 1.51569i −0.774319 0.632795i \(-0.781907\pi\)
−0.469574 0.882893i \(-0.655593\pi\)
\(420\) 2.48158 7.78088i 0.121089 0.379668i
\(421\) −16.8852 5.12207i −0.822934 0.249634i −0.149387 0.988779i \(-0.547730\pi\)
−0.673547 + 0.739145i \(0.735230\pi\)
\(422\) −18.2522 33.7578i −0.888505 1.64331i
\(423\) −17.9272 0.853411i −0.871650 0.0414942i
\(424\) −2.97176 + 35.3736i −0.144321 + 1.71789i
\(425\) 0.0536263 0.0358320i 0.00260126 0.00173811i
\(426\) 16.7740 + 26.1668i 0.812702 + 1.26778i
\(427\) 4.57581 0.450678i 0.221439 0.0218099i
\(428\) 13.3395 7.29515i 0.644788 0.352624i
\(429\) 25.0498 15.8893i 1.20942 0.767142i
\(430\) 18.9848 + 18.8039i 0.915528 + 0.906804i
\(431\) 7.65550 + 3.17101i 0.368752 + 0.152742i 0.559362 0.828924i \(-0.311046\pi\)
−0.190609 + 0.981666i \(0.561046\pi\)
\(432\) −20.1459 5.11307i −0.969269 0.246003i
\(433\) −16.1273 + 6.68016i −0.775030 + 0.321028i −0.734908 0.678167i \(-0.762775\pi\)
−0.0401218 + 0.999195i \(0.512775\pi\)
\(434\) 2.77589 + 1.13428i 0.133247 + 0.0544470i
\(435\) 27.9150 + 6.24627i 1.33842 + 0.299486i
\(436\) 0.708860 + 0.847079i 0.0339482 + 0.0405677i
\(437\) −18.2329 + 22.2169i −0.872200 + 1.06278i
\(438\) 11.2898 2.02354i 0.539449 0.0966884i
\(439\) 31.7192 + 6.30934i 1.51387 + 0.301128i 0.880996 0.473123i \(-0.156873\pi\)
0.632878 + 0.774252i \(0.281873\pi\)
\(440\) 34.4578 14.8561i 1.64271 0.708238i
\(441\) 13.1066 11.9154i 0.624122 0.567400i
\(442\) 2.27865 2.80380i 0.108384 0.133363i
\(443\) 16.7672 + 31.3692i 0.796634 + 1.49040i 0.869978 + 0.493091i \(0.164133\pi\)
−0.0733437 + 0.997307i \(0.523367\pi\)
\(444\) 4.86541 + 16.9000i 0.230902 + 0.802037i
\(445\) 12.8810 + 1.26867i 0.610619 + 0.0601407i
\(446\) 0.277920 0.420278i 0.0131599 0.0199007i
\(447\) −21.4076 + 5.94178i −1.01254 + 0.281036i
\(448\) 1.39709 8.25625i 0.0660061 0.390071i
\(449\) 11.5031 0.542863 0.271432 0.962458i \(-0.412503\pi\)
0.271432 + 0.962458i \(0.412503\pi\)
\(450\) −0.0133199 + 0.311157i −0.000627904 + 0.0146681i
\(451\) −4.11523 + 41.7827i −0.193779 + 1.96747i
\(452\) −15.1283 + 15.4207i −0.711574 + 0.725331i
\(453\) 3.32102 3.16668i 0.156035 0.148784i
\(454\) −6.28163 + 7.72934i −0.294811 + 0.362756i
\(455\) −6.72366 + 1.33742i −0.315210 + 0.0626992i
\(456\) 17.4342 + 9.53107i 0.816431 + 0.446333i
\(457\) 1.50423 7.56228i 0.0703649 0.353748i −0.929522 0.368766i \(-0.879780\pi\)
0.999887 + 0.0150175i \(0.00478040\pi\)
\(458\) 3.24557 34.6525i 0.151655 1.61921i
\(459\) 0.569168 + 4.52971i 0.0265665 + 0.211429i
\(460\) −31.7974 2.82467i −1.48256 0.131701i
\(461\) 13.3213 24.9225i 0.620437 1.16076i −0.353820 0.935313i \(-0.615117\pi\)
0.974257 0.225442i \(-0.0723825\pi\)
\(462\) −14.9977 1.76539i −0.697755 0.0821335i
\(463\) −5.80294 14.0095i −0.269686 0.651078i 0.729783 0.683679i \(-0.239621\pi\)
−0.999468 + 0.0326005i \(0.989621\pi\)
\(464\) 29.2374 + 2.31536i 1.35731 + 0.107488i
\(465\) −7.84452 0.961481i −0.363781 0.0445876i
\(466\) 10.5133 + 10.4131i 0.487020 + 0.482379i
\(467\) −9.04476 + 2.74370i −0.418541 + 0.126963i −0.492529 0.870296i \(-0.663927\pi\)
0.0739877 + 0.997259i \(0.476427\pi\)
\(468\) 4.42664 + 16.8756i 0.204621 + 0.780077i
\(469\) 0.626349 + 6.35943i 0.0289221 + 0.293651i
\(470\) 5.61909 + 18.2094i 0.259190 + 0.839938i
\(471\) 2.17537 + 1.87360i 0.100236 + 0.0863311i
\(472\) 24.1109 + 12.4457i 1.10979 + 0.572861i
\(473\) 27.4498 41.0815i 1.26214 1.88893i
\(474\) −17.1110 + 16.4729i −0.785935 + 0.756627i
\(475\) 0.0864259 0.284908i 0.00396549 0.0130725i
\(476\) −1.80040 + 0.376077i −0.0825214 + 0.0172374i
\(477\) −12.6306 + 35.4698i −0.578314 + 1.62405i
\(478\) 4.78380 24.6663i 0.218806 1.12821i
\(479\) 8.41652 + 8.41652i 0.384561 + 0.384561i 0.872742 0.488181i \(-0.162340\pi\)
−0.488181 + 0.872742i \(0.662340\pi\)
\(480\) 2.16647 + 21.9625i 0.0988852 + 1.00245i
\(481\) 10.4383 10.4383i 0.475945 0.475945i
\(482\) −20.1112 29.7888i −0.916039 1.35684i
\(483\) 10.5092 + 7.38945i 0.478184 + 0.336232i
\(484\) −26.7008 39.1440i −1.21367 1.77927i
\(485\) 14.6744 + 4.45142i 0.666329 + 0.202129i
\(486\) −19.2740 10.7011i −0.874286 0.485411i
\(487\) −2.31404 1.54619i −0.104859 0.0700646i 0.502035 0.864847i \(-0.332585\pi\)
−0.606894 + 0.794783i \(0.707585\pi\)
\(488\) −10.8724 + 6.01372i −0.492169 + 0.272228i
\(489\) 19.4226 + 16.7284i 0.878322 + 0.756483i
\(490\) −16.6294 8.78651i −0.751239 0.396934i
\(491\) −0.968686 + 0.0954072i −0.0437162 + 0.00430567i −0.119852 0.992792i \(-0.538242\pi\)
0.0761354 + 0.997097i \(0.475742\pi\)
\(492\) −22.6766 9.77273i −1.02234 0.440589i
\(493\) −1.87004 6.16470i −0.0842224 0.277644i
\(494\) −0.0798386 16.6781i −0.00359211 0.750384i
\(495\) 39.3604 5.89968i 1.76912 0.265171i
\(496\) −8.10166 + 0.155149i −0.363775 + 0.00696640i
\(497\) −12.2706 + 5.08266i −0.550413 + 0.227988i
\(498\) 8.75144 + 11.0866i 0.392161 + 0.496802i
\(499\) 32.6997 + 17.4784i 1.46384 + 0.782439i 0.994907 0.100795i \(-0.0321387\pi\)
0.468933 + 0.883234i \(0.344639\pi\)
\(500\) −21.1752 + 6.64548i −0.946985 + 0.297195i
\(501\) −14.3484 + 32.4360i −0.641040 + 1.44913i
\(502\) 2.22085 1.84047i 0.0991214 0.0821440i
\(503\) −23.5994 4.69422i −1.05225 0.209305i −0.361478 0.932381i \(-0.617728\pi\)
−0.690769 + 0.723076i \(0.742728\pi\)
\(504\) 3.66939 8.08813i 0.163448 0.360274i
\(505\) 0.748611 + 3.76352i 0.0333127 + 0.167474i
\(506\) 6.06674 + 58.7139i 0.269700 + 2.61015i
\(507\) −5.69720 + 5.43244i −0.253021 + 0.241263i
\(508\) −6.07893 14.2874i −0.269709 0.633901i
\(509\) −31.5951 3.11185i −1.40043 0.137930i −0.630564 0.776137i \(-0.717176\pi\)
−0.769865 + 0.638207i \(0.779676\pi\)
\(510\) 4.31773 2.20346i 0.191192 0.0975710i
\(511\) 4.90119i 0.216816i
\(512\) 5.36612 + 21.9819i 0.237151 + 0.971473i
\(513\) 15.2963 + 14.4970i 0.675350 + 0.640059i
\(514\) −4.74243 23.2593i −0.209179 1.02593i
\(515\) 0.0638790 0.648574i 0.00281484 0.0285796i
\(516\) 18.1136 + 22.7224i 0.797409 + 1.00030i
\(517\) 31.0760 16.6105i 1.36672 0.730527i
\(518\) −7.47513 + 0.772383i −0.328438 + 0.0339366i
\(519\) −7.58177 + 3.82356i −0.332803 + 0.167836i
\(520\) 15.2534 10.5120i 0.668906 0.460980i
\(521\) 3.43429 17.2653i 0.150459 0.756408i −0.829702 0.558206i \(-0.811490\pi\)
0.980161 0.198202i \(-0.0635102\pi\)
\(522\) 29.3551 + 10.2951i 1.28484 + 0.450603i
\(523\) 2.73551 + 2.24497i 0.119615 + 0.0981658i 0.692299 0.721610i \(-0.256598\pi\)
−0.572684 + 0.819776i \(0.694098\pi\)
\(524\) −10.0608 32.0580i −0.439510 1.40046i
\(525\) −0.129872 0.0290602i −0.00566809 0.00126829i
\(526\) −6.96947 16.6006i −0.303883 0.723819i
\(527\) 0.681121 + 1.64437i 0.0296701 + 0.0716299i
\(528\) 39.1043 11.6644i 1.70179 0.507630i
\(529\) 10.4149 25.1439i 0.452824 1.09321i
\(530\) 39.9780 0.191376i 1.73653 0.00831284i
\(531\) 21.3536 + 19.2947i 0.926665 + 0.837320i
\(532\) −5.32322 + 6.61450i −0.230791 + 0.286775i
\(533\) 2.03161 + 20.6273i 0.0879987 + 0.893466i
\(534\) 13.7507 + 3.00780i 0.595049 + 0.130160i
\(535\) −9.51297 14.2372i −0.411281 0.615526i
\(536\) −8.35782 15.1103i −0.361003 0.652667i
\(537\) −8.66622 + 26.3001i −0.373975 + 1.13493i
\(538\) −27.8731 8.30971i −1.20169 0.358257i
\(539\) −10.0952 + 33.2793i −0.434830 + 1.43344i
\(540\) −3.72822 + 23.1091i −0.160437 + 0.994455i
\(541\) 13.8277 11.3481i 0.594500 0.487893i −0.288365 0.957521i \(-0.593112\pi\)
0.882865 + 0.469627i \(0.155612\pi\)
\(542\) −18.6672 + 12.6027i −0.801826 + 0.541333i
\(543\) 1.99161 3.52191i 0.0854680 0.151140i
\(544\) 4.06522 2.85935i 0.174295 0.122594i
\(545\) 0.879608 0.879608i 0.0376783 0.0376783i
\(546\) −7.43181 + 0.589666i −0.318052 + 0.0252354i
\(547\) 14.6939 12.0589i 0.628265 0.515603i −0.265517 0.964106i \(-0.585543\pi\)
0.893781 + 0.448503i \(0.148043\pi\)
\(548\) 4.61649 + 22.1007i 0.197207 + 0.944094i
\(549\) −12.7786 + 3.22150i −0.545376 + 0.137490i
\(550\) −0.290819 0.537875i −0.0124006 0.0229351i
\(551\) −24.7265 16.5217i −1.05338 0.703848i
\(552\) −33.9832 7.09322i −1.44642 0.301908i
\(553\) −5.63874 8.43897i −0.239784 0.358862i
\(554\) 2.73722 0.844656i 0.116293 0.0358860i
\(555\) 18.4734 7.14211i 0.784153 0.303166i
\(556\) −14.3207 4.19484i −0.607333 0.177901i
\(557\) −1.17062 3.85901i −0.0496006 0.163511i 0.928641 0.370979i \(-0.120978\pi\)
−0.978242 + 0.207468i \(0.933478\pi\)
\(558\) −8.35012 2.03572i −0.353489 0.0861790i
\(559\) 9.33437 22.5352i 0.394802 0.953135i
\(560\) −9.40104 0.744484i −0.397266 0.0314602i
\(561\) −5.51982 7.06193i −0.233047 0.298155i
\(562\) −22.6294 9.24676i −0.954566 0.390051i
\(563\) 16.6977 + 8.92511i 0.703724 + 0.376149i 0.784116 0.620615i \(-0.213117\pi\)
−0.0803911 + 0.996763i \(0.525617\pi\)
\(564\) 3.75381 + 20.3812i 0.158064 + 0.858202i
\(565\) 18.8065 + 15.4341i 0.791194 + 0.649316i
\(566\) −29.6633 2.77828i −1.24684 0.116780i
\(567\) 5.95404 7.30013i 0.250046 0.306577i
\(568\) 25.0110 25.7398i 1.04944 1.08002i
\(569\) −0.0478189 0.240402i −0.00200467 0.0100782i 0.979770 0.200127i \(-0.0641354\pi\)
−0.981775 + 0.190049i \(0.939135\pi\)
\(570\) 8.95453 20.5074i 0.375064 0.858959i
\(571\) −35.7240 + 19.0949i −1.49500 + 0.799095i −0.997654 0.0684570i \(-0.978192\pi\)
−0.497347 + 0.867552i \(0.665692\pi\)
\(572\) −24.4514 23.9877i −1.02237 1.00298i
\(573\) −20.5725 + 3.58577i −0.859429 + 0.149798i
\(574\) 5.82008 8.80129i 0.242926 0.367359i
\(575\) 0.520188i 0.0216933i
\(576\) −0.452288 + 23.9957i −0.0188453 + 0.999822i
\(577\) 25.3009i 1.05329i 0.850085 + 0.526646i \(0.176551\pi\)
−0.850085 + 0.526646i \(0.823449\pi\)
\(578\) 19.1430 + 12.6588i 0.796244 + 0.526537i
\(579\) −12.4571 + 2.17126i −0.517700 + 0.0902346i
\(580\) −0.316229 33.0291i −0.0131307 1.37146i
\(581\) −5.32291 + 2.84516i −0.220832 + 0.118037i
\(582\) 15.2829 + 6.67327i 0.633497 + 0.276616i
\(583\) −14.4215 72.5017i −0.597277 3.00271i
\(584\) −5.24350 12.1619i −0.216977 0.503264i
\(585\) 18.4899 6.64748i 0.764461 0.274839i
\(586\) −1.29840 + 13.8628i −0.0536362 + 0.572668i
\(587\) 0.0462619 + 0.0379662i 0.00190943 + 0.00156703i 0.635348 0.772226i \(-0.280857\pi\)
−0.633438 + 0.773793i \(0.718357\pi\)
\(588\) −16.8433 11.6039i −0.694605 0.478535i
\(589\) 7.24607 + 3.87310i 0.298569 + 0.159588i
\(590\) 11.5588 28.2877i 0.475869 1.16459i
\(591\) −20.8030 26.6149i −0.855722 1.09479i
\(592\) 17.7226 9.91381i 0.728395 0.407455i
\(593\) 4.20251 10.1457i 0.172576 0.416636i −0.813799 0.581146i \(-0.802604\pi\)
0.986375 + 0.164510i \(0.0526044\pi\)
\(594\) 43.2606 1.36789i 1.77500 0.0561252i
\(595\) 0.601296 + 1.98221i 0.0246507 + 0.0812625i
\(596\) 12.3092 + 22.5078i 0.504203 + 0.921956i
\(597\) 21.7421 8.40581i 0.889843 0.344027i
\(598\) 8.59234 + 27.8446i 0.351367 + 1.13865i
\(599\) −22.2538 33.3052i −0.909267 1.36081i −0.932533 0.361086i \(-0.882406\pi\)
0.0232652 0.999729i \(-0.492594\pi\)
\(600\) 0.353358 0.0668321i 0.0144258 0.00272841i
\(601\) 27.8782 + 18.6276i 1.13718 + 0.759837i 0.973953 0.226752i \(-0.0728106\pi\)
0.163224 + 0.986589i \(0.447811\pi\)
\(602\) −10.9229 + 5.90580i −0.445184 + 0.240703i
\(603\) −4.47722 17.7596i −0.182326 0.723225i
\(604\) −4.43367 2.90148i −0.180404 0.118059i
\(605\) −41.2507 + 33.8536i −1.67708 + 1.37634i
\(606\) 0.330061 + 4.15990i 0.0134078 + 0.168985i
\(607\) −22.5132 + 22.5132i −0.913785 + 0.913785i −0.996568 0.0827830i \(-0.973619\pi\)
0.0827830 + 0.996568i \(0.473619\pi\)
\(608\) 6.13270 22.1084i 0.248714 0.896613i
\(609\) −6.54327 + 11.5710i −0.265147 + 0.468880i
\(610\) 7.82961 + 11.5973i 0.317012 + 0.469560i
\(611\) 13.4470 11.0357i 0.544008 0.446456i
\(612\) 4.94343 1.83089i 0.199826 0.0740095i
\(613\) 4.68688 15.4506i 0.189301 0.624043i −0.809991 0.586442i \(-0.800528\pi\)
0.999293 0.0376015i \(-0.0119717\pi\)
\(614\) 9.73105 32.6407i 0.392713 1.31727i
\(615\) −8.70321 + 26.4123i −0.350947 + 1.06505i
\(616\) 1.95819 + 17.3271i 0.0788977 + 0.698128i
\(617\) 22.9056 + 34.2807i 0.922146 + 1.38009i 0.924948 + 0.380093i \(0.124108\pi\)
−0.00280215 + 0.999996i \(0.500892\pi\)
\(618\) 0.151446 0.692361i 0.00609205 0.0278508i
\(619\) 1.08615 + 11.0278i 0.0436559 + 0.443246i 0.992022 + 0.126067i \(0.0402355\pi\)
−0.948366 + 0.317179i \(0.897265\pi\)
\(620\) 0.981398 + 9.07293i 0.0394139 + 0.364378i
\(621\) −32.9275 16.4804i −1.32133 0.661334i
\(622\) 0.150522 + 31.4437i 0.00603537 + 1.26078i
\(623\) −2.30176 + 5.55694i −0.0922180 + 0.222634i
\(624\) 17.8106 9.41407i 0.712995 0.376864i
\(625\) 9.70548 + 23.4311i 0.388219 + 0.937244i
\(626\) 9.39910 3.94605i 0.375664 0.157716i
\(627\) −40.3779 9.03495i −1.61254 0.360821i
\(628\) 1.53468 2.93852i 0.0612405 0.117260i
\(629\) −3.44796 2.82967i −0.137479 0.112826i
\(630\) −9.43888 3.31029i −0.376054 0.131885i
\(631\) 1.60542 8.07100i 0.0639108 0.321301i −0.935583 0.353106i \(-0.885125\pi\)
0.999494 + 0.0318047i \(0.0101255\pi\)
\(632\) 23.0205 + 14.9081i 0.915705 + 0.593012i
\(633\) −41.9665 + 21.1641i −1.66802 + 0.841198i
\(634\) 3.39088 + 32.8170i 0.134669 + 1.30333i
\(635\) −15.4217 + 8.24309i −0.611993 + 0.327117i
\(636\) 43.2020 + 4.87580i 1.71307 + 0.193338i
\(637\) −1.68282 + 17.0859i −0.0666757 + 0.676969i
\(638\) −59.8439 + 12.2018i −2.36924 + 0.483073i
\(639\) 32.6214 19.6199i 1.29048 0.776153i
\(640\) 24.1244 8.21024i 0.953602 0.324538i
\(641\) 3.44031i 0.135884i −0.997689 0.0679420i \(-0.978357\pi\)
0.997689 0.0679420i \(-0.0216433\pi\)
\(642\) −8.46433 16.5860i −0.334061 0.654598i
\(643\) −14.9319 1.47067i −0.588858 0.0579975i −0.200800 0.979632i \(-0.564354\pi\)
−0.388058 + 0.921635i \(0.626854\pi\)
\(644\) 5.54544 13.7590i 0.218521 0.542181i
\(645\) 23.6848 22.5841i 0.932588 0.889249i
\(646\) −5.01278 + 0.517956i −0.197225 + 0.0203787i
\(647\) −4.72510 23.7547i −0.185763 0.933894i −0.955378 0.295386i \(-0.904552\pi\)
0.769615 0.638508i \(-0.220448\pi\)
\(648\) −6.96451 + 24.4846i −0.273592 + 0.961846i
\(649\) −55.4178 11.0233i −2.17534 0.432702i
\(650\) −0.192617 0.232426i −0.00755505 0.00911651i
\(651\) 1.48575 3.35869i 0.0582313 0.131637i
\(652\) 13.7023 26.2364i 0.536625 1.02750i
\(653\) −5.39074 2.88141i −0.210956 0.112758i 0.362535 0.931970i \(-0.381911\pi\)
−0.573491 + 0.819212i \(0.694411\pi\)
\(654\) 1.06183 0.838181i 0.0415210 0.0327755i
\(655\) −34.9599 + 14.4809i −1.36600 + 0.565814i
\(656\) −5.02611 + 28.0663i −0.196237 + 1.09580i
\(657\) −2.08230 13.8923i −0.0812384 0.541991i
\(658\) −8.85556 + 0.0423918i −0.345225 + 0.00165260i
\(659\) 10.6518 + 35.1143i 0.414935 + 1.36786i 0.876778 + 0.480896i \(0.159688\pi\)
−0.461843 + 0.886962i \(0.652812\pi\)
\(660\) −16.9819 42.7045i −0.661021 1.66227i
\(661\) 36.3300 3.57819i 1.41307 0.139175i 0.637508 0.770444i \(-0.279965\pi\)
0.775564 + 0.631268i \(0.217465\pi\)
\(662\) 2.41191 4.56478i 0.0937414 0.177415i
\(663\) −3.35281 2.88772i −0.130213 0.112150i
\(664\) 10.1645 12.7547i 0.394461 0.494979i
\(665\) 7.95058 + 5.31240i 0.308310 + 0.206006i
\(666\) 20.8599 5.36516i 0.808306 0.207896i
\(667\) 49.7211 + 15.0827i 1.92521 + 0.584006i
\(668\) 40.2425 + 7.60495i 1.55703 + 0.294244i
\(669\) −0.504799 0.354947i −0.0195167 0.0137230i
\(670\) −16.1178 + 10.8815i −0.622685 + 0.420390i
\(671\) 18.2953 18.2953i 0.706281 0.706281i
\(672\) −10.0588 1.99924i −0.388026 0.0771225i
\(673\) −5.60260 5.60260i −0.215964 0.215964i 0.590831 0.806795i \(-0.298800\pi\)
−0.806795 + 0.590831i \(0.798800\pi\)
\(674\) −23.2665 4.51233i −0.896193 0.173808i
\(675\) 0.380467 + 0.0271934i 0.0146442 + 0.00104668i
\(676\) 7.60596 + 4.97748i 0.292537 + 0.191441i
\(677\) 6.64916 21.9194i 0.255548 0.842429i −0.731477 0.681866i \(-0.761169\pi\)
0.987026 0.160563i \(-0.0513311\pi\)
\(678\) 18.3495 + 19.0602i 0.704707 + 0.732004i
\(679\) −3.95901 + 5.92508i −0.151933 + 0.227384i
\(680\) −3.61271 4.27540i −0.138541 0.163954i
\(681\) 9.24282 + 7.96068i 0.354186 + 0.305054i
\(682\) 16.1239 4.97555i 0.617416 0.190523i
\(683\) 1.56608 + 15.9007i 0.0599243 + 0.608422i 0.977511 + 0.210885i \(0.0676347\pi\)
−0.917586 + 0.397536i \(0.869865\pi\)
\(684\) 12.2783 21.0103i 0.469474 0.803347i
\(685\) 24.3324 7.38114i 0.929691 0.282019i
\(686\) 13.4423 13.5716i 0.513228 0.518166i
\(687\) −42.3097 5.18578i −1.61421 0.197850i
\(688\) 20.7860 26.3406i 0.792460 1.00422i
\(689\) −13.9656 33.7159i −0.532047 1.28448i
\(690\) −4.57061 + 38.8290i −0.174000 + 1.47820i
\(691\) 24.1618 45.2036i 0.919159 1.71963i 0.263347 0.964701i \(-0.415174\pi\)
0.655812 0.754924i \(-0.272326\pi\)
\(692\) 6.29247 + 7.51943i 0.239204 + 0.285846i
\(693\) −2.68601 + 18.2991i −0.102033 + 0.695124i
\(694\) 24.0730 + 2.25468i 0.913799 + 0.0855866i
\(695\) −3.27865 + 16.4829i −0.124366 + 0.625232i
\(696\) 3.85752 35.7128i 0.146219 1.35369i
\(697\) 6.14248 1.22182i 0.232663 0.0462796i
\(698\) 10.0185 + 8.14205i 0.379207 + 0.308181i
\(699\) 13.1161 12.5065i 0.496095 0.473041i
\(700\) 0.00147123 + 0.153665i 5.56072e−5 + 0.00580799i
\(701\) 1.56364 15.8759i 0.0590579 0.599625i −0.919421 0.393276i \(-0.871342\pi\)
0.978478 0.206349i \(-0.0661582\pi\)
\(702\) 20.8148 4.82885i 0.785604 0.182253i
\(703\) −20.5904 −0.776582
\(704\) −23.3963 40.9009i −0.881782 1.54151i
\(705\) 22.4894 6.24204i 0.846999 0.235089i
\(706\) 5.21899 + 3.45119i 0.196419 + 0.129887i
\(707\) −1.77459 0.174782i −0.0667402 0.00657334i
\(708\) 16.0802 29.0822i 0.604331 1.09298i
\(709\) −5.44160 10.1805i −0.204364 0.382338i 0.758771 0.651358i \(-0.225800\pi\)
−0.963135 + 0.269020i \(0.913300\pi\)
\(710\) −31.3672 25.4921i −1.17719 0.956701i
\(711\) 19.5682 + 21.5244i 0.733866 + 0.807229i
\(712\) −0.233405 16.2516i −0.00874723 0.609056i
\(713\) −14.0795 2.80058i −0.527281 0.104883i
\(714\) 0.397418 + 2.21729i 0.0148730 + 0.0829802i
\(715\) −24.4726 + 29.8199i −0.915222 + 1.11520i
\(716\) 31.8495 + 2.82930i 1.19027 + 0.105736i
\(717\) −30.0302 6.71956i −1.12150 0.250947i
\(718\) 4.81891 11.7932i 0.179840 0.440120i
\(719\) 2.33110 0.965573i 0.0869354 0.0360098i −0.338792 0.940861i \(-0.610018\pi\)
0.425727 + 0.904852i \(0.360018\pi\)
\(720\) 26.9633 1.88387i 1.00486 0.0702076i
\(721\) 0.279798 + 0.115896i 0.0104202 + 0.00431620i
\(722\) 2.53807 2.56249i 0.0944572 0.0953659i
\(723\) −37.1724 + 23.5788i −1.38246 + 0.876904i
\(724\) −4.48356 1.31333i −0.166630 0.0488096i
\(725\) −0.535650 + 0.0527570i −0.0198936 + 0.00195934i
\(726\) −48.8561 + 31.3188i −1.81322 + 1.16235i
\(727\) 7.09062 4.73780i 0.262976 0.175715i −0.417091 0.908865i \(-0.636950\pi\)
0.680068 + 0.733149i \(0.261950\pi\)
\(728\) 2.61695 + 8.20107i 0.0969907 + 0.303952i
\(729\) −13.7751 + 23.2217i −0.510189 + 0.860062i
\(730\) −13.1206 + 7.09409i −0.485617 + 0.262564i
\(731\) −7.05281 2.13945i −0.260858 0.0791303i
\(732\) 6.98187 + 13.5209i 0.258057 + 0.499745i
\(733\) 25.9445 + 31.6135i 0.958282 + 1.16767i 0.985779 + 0.168048i \(0.0537462\pi\)
−0.0274973 + 0.999622i \(0.508754\pi\)
\(734\) 10.0579 + 1.95065i 0.371246 + 0.0719996i
\(735\) −11.3387 + 20.0510i −0.418233 + 0.739593i
\(736\) 0.959368 + 40.0747i 0.0353628 + 1.47717i
\(737\) 25.4266 + 25.4266i 0.936602 + 0.936602i
\(738\) −12.7576 + 27.4198i −0.469615 + 1.00934i
\(739\) −17.7333 21.6081i −0.652331 0.794868i 0.336851 0.941558i \(-0.390638\pi\)
−0.989183 + 0.146690i \(0.953138\pi\)
\(740\) −12.8874 18.8932i −0.473749 0.694527i
\(741\) −20.4209 0.485786i −0.750181 0.0178458i
\(742\) −5.30776 + 17.8037i −0.194854 + 0.653594i
\(743\) 0.00431019 0.00645065i 0.000158125 0.000236651i −0.831391 0.555689i \(-0.812455\pi\)
0.831549 + 0.555452i \(0.187455\pi\)
\(744\) −0.0935173 + 9.92385i −0.00342851 + 0.363826i
\(745\) 24.0225 16.0513i 0.880116 0.588075i
\(746\) 8.30392 15.7160i 0.304028 0.575405i
\(747\) 13.8789 10.3260i 0.507803 0.377809i
\(748\) −6.48897 + 8.06302i −0.237260 + 0.294813i
\(749\) 7.61440 2.30980i 0.278224 0.0843983i
\(750\) 7.39482 + 26.1562i 0.270021 + 0.955089i
\(751\) 36.7525 + 15.2234i 1.34112 + 0.555509i 0.933806 0.357780i \(-0.116466\pi\)
0.407312 + 0.913289i \(0.366466\pi\)
\(752\) 21.9290 9.57923i 0.799669 0.349319i
\(753\) −2.17548 2.78326i −0.0792789 0.101428i
\(754\) −27.8009 + 11.6717i −1.01245 + 0.425059i
\(755\) −2.81303 + 5.26281i −0.102377 + 0.191533i
\(756\) −9.77347 4.77522i −0.355458 0.173673i
\(757\) −20.6992 + 25.2220i −0.752323 + 0.916709i −0.998622 0.0524853i \(-0.983286\pi\)
0.246298 + 0.969194i \(0.420786\pi\)
\(758\) 18.1695 + 21.9248i 0.659947 + 0.796343i
\(759\) 72.0925 5.37292i 2.61679 0.195025i
\(760\) −25.4122 4.67647i −0.921796 0.169633i
\(761\) 44.2788 8.80759i 1.60510 0.319275i 0.690409 0.723420i \(-0.257431\pi\)
0.914695 + 0.404145i \(0.132431\pi\)
\(762\) −17.7040 + 6.94222i −0.641347 + 0.251490i
\(763\) 0.272499 + 0.509809i 0.00986511 + 0.0184563i
\(764\) 9.44060 + 22.1884i 0.341549 + 0.802747i
\(765\) −2.54651 5.36306i −0.0920694 0.193902i
\(766\) −44.8146 + 9.13740i −1.61922 + 0.330148i
\(767\) −27.8946 −1.00722
\(768\) 27.0990 5.80035i 0.977851 0.209302i
\(769\) 22.4786 0.810600 0.405300 0.914184i \(-0.367167\pi\)
0.405300 + 0.914184i \(0.367167\pi\)
\(770\) 19.2423 3.92338i 0.693443 0.141389i
\(771\) −28.6410 + 4.99210i −1.03148 + 0.179786i
\(772\) 5.71649 + 13.4356i 0.205741 + 0.483556i
\(773\) 10.0402 + 18.7838i 0.361119