Properties

Label 192.2.s.a.11.20
Level $192$
Weight $2$
Character 192.11
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 11.20
Character \(\chi\) \(=\) 192.11
Dual form 192.2.s.a.35.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.640805 - 1.26070i) q^{2} +(-1.16480 - 1.28189i) q^{3} +(-1.17874 - 1.61573i) q^{4} +(3.57797 - 2.39072i) q^{5} +(-2.36249 + 0.647019i) q^{6} +(-0.994439 + 2.40079i) q^{7} +(-2.79229 + 0.450669i) q^{8} +(-0.286494 + 2.98629i) q^{9} +O(q^{10})\) \(q+(0.640805 - 1.26070i) q^{2} +(-1.16480 - 1.28189i) q^{3} +(-1.17874 - 1.61573i) q^{4} +(3.57797 - 2.39072i) q^{5} +(-2.36249 + 0.647019i) q^{6} +(-0.994439 + 2.40079i) q^{7} +(-2.79229 + 0.450669i) q^{8} +(-0.286494 + 2.98629i) q^{9} +(-0.721207 - 6.04274i) q^{10} +(0.714367 - 3.59136i) q^{11} +(-0.698199 + 3.39301i) q^{12} +(-1.38986 + 2.08008i) q^{13} +(2.38944 + 2.79213i) q^{14} +(-7.23226 - 1.80186i) q^{15} +(-1.22116 + 3.80904i) q^{16} +(0.951204 + 0.951204i) q^{17} +(3.58123 + 2.27481i) q^{18} +(-0.214739 + 0.321380i) q^{19} +(-8.08025 - 2.96299i) q^{20} +(4.23587 - 1.52167i) q^{21} +(-4.06987 - 3.20197i) q^{22} +(1.14288 + 2.75916i) q^{23} +(3.83016 + 3.05448i) q^{24} +(5.17290 - 12.4885i) q^{25} +(1.73173 + 3.08513i) q^{26} +(4.16181 - 3.11117i) q^{27} +(5.05121 - 1.22316i) q^{28} +(2.53398 - 0.504039i) q^{29} +(-6.90608 + 7.96308i) q^{30} +2.03735 q^{31} +(4.01954 + 3.98037i) q^{32} +(-5.43583 + 3.26747i) q^{33} +(1.80872 - 0.589648i) q^{34} +(2.18155 + 10.9674i) q^{35} +(5.16273 - 3.05715i) q^{36} +(4.28668 - 2.86427i) q^{37} +(0.267558 + 0.476664i) q^{38} +(4.28535 - 0.641215i) q^{39} +(-8.91331 + 8.28808i) q^{40} +(-4.29457 + 1.77887i) q^{41} +(0.795999 - 6.31526i) q^{42} +(-1.88124 + 9.45763i) q^{43} +(-6.64472 + 3.07905i) q^{44} +(6.11432 + 11.3698i) q^{45} +(4.21083 + 0.327251i) q^{46} +(5.57116 - 5.57116i) q^{47} +(6.30518 - 2.87137i) q^{48} +(0.174869 + 0.174869i) q^{49} +(-12.4294 - 14.5242i) q^{50} +(0.111381 - 2.32730i) q^{51} +(4.99913 - 0.206223i) q^{52} +(-1.47041 - 0.292483i) q^{53} +(-1.25534 - 7.24045i) q^{54} +(-6.02998 - 14.5576i) q^{55} +(1.69480 - 7.15187i) q^{56} +(0.662102 - 0.0990701i) q^{57} +(0.988343 - 3.51758i) q^{58} +(-3.66506 - 5.48515i) q^{59} +(5.61361 + 13.8093i) q^{60} +(-4.09381 + 0.814309i) q^{61} +(1.30554 - 2.56849i) q^{62} +(-6.88455 - 3.65750i) q^{63} +(7.59380 - 2.51680i) q^{64} +10.7652i q^{65} +(0.635995 + 8.94678i) q^{66} +(1.50936 + 7.58806i) q^{67} +(0.415668 - 2.65811i) q^{68} +(2.20572 - 4.67890i) q^{69} +(15.2245 + 4.27767i) q^{70} +(-6.27514 - 2.59925i) q^{71} +(-0.545851 - 8.46771i) q^{72} +(-15.4732 + 6.40920i) q^{73} +(-0.864060 - 7.23966i) q^{74} +(-22.0342 + 7.91545i) q^{75} +(0.772384 - 0.0318623i) q^{76} +(7.91171 + 5.28644i) q^{77} +(1.93769 - 5.81344i) q^{78} +(2.31400 - 2.31400i) q^{79} +(4.73710 + 16.5481i) q^{80} +(-8.83584 - 1.71111i) q^{81} +(-0.509359 + 6.55408i) q^{82} +(1.62719 + 1.08726i) q^{83} +(-7.45158 - 5.05037i) q^{84} +(5.67744 + 1.12931i) q^{85} +(10.7177 + 8.43218i) q^{86} +(-3.59769 - 2.66118i) q^{87} +(-0.376205 + 10.3501i) q^{88} +(-4.04231 - 1.67438i) q^{89} +(18.2520 - 0.422520i) q^{90} +(-3.61170 - 5.40528i) q^{91} +(3.11089 - 5.09890i) q^{92} +(-2.37310 - 2.61166i) q^{93} +(-3.45354 - 10.5936i) q^{94} +1.66327i q^{95} +(0.420453 - 9.78893i) q^{96} +1.86899i q^{97} +(0.332515 - 0.108401i) q^{98} +(10.5202 + 3.16221i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.640805 1.26070i 0.453118 0.891451i
\(3\) −1.16480 1.28189i −0.672496 0.740101i
\(4\) −1.17874 1.61573i −0.589369 0.807864i
\(5\) 3.57797 2.39072i 1.60012 1.06916i 0.648796 0.760963i \(-0.275273\pi\)
0.951321 0.308201i \(-0.0997270\pi\)
\(6\) −2.36249 + 0.647019i −0.964483 + 0.264144i
\(7\) −0.994439 + 2.40079i −0.375863 + 0.907413i 0.616869 + 0.787066i \(0.288401\pi\)
−0.992732 + 0.120347i \(0.961599\pi\)
\(8\) −2.79229 + 0.450669i −0.987224 + 0.159336i
\(9\) −0.286494 + 2.98629i −0.0954981 + 0.995430i
\(10\) −0.721207 6.04274i −0.228066 1.91088i
\(11\) 0.714367 3.59136i 0.215390 1.08284i −0.710111 0.704090i \(-0.751355\pi\)
0.925500 0.378747i \(-0.123645\pi\)
\(12\) −0.698199 + 3.39301i −0.201553 + 0.979478i
\(13\) −1.38986 + 2.08008i −0.385479 + 0.576910i −0.972570 0.232611i \(-0.925273\pi\)
0.587091 + 0.809521i \(0.300273\pi\)
\(14\) 2.38944 + 2.79213i 0.638604 + 0.746228i
\(15\) −7.23226 1.80186i −1.86736 0.465239i
\(16\) −1.22116 + 3.80904i −0.305289 + 0.952260i
\(17\) 0.951204 + 0.951204i 0.230701 + 0.230701i 0.812985 0.582284i \(-0.197841\pi\)
−0.582284 + 0.812985i \(0.697841\pi\)
\(18\) 3.58123 + 2.27481i 0.844105 + 0.536179i
\(19\) −0.214739 + 0.321380i −0.0492646 + 0.0737297i −0.855284 0.518159i \(-0.826618\pi\)
0.806020 + 0.591889i \(0.201618\pi\)
\(20\) −8.08025 2.96299i −1.80680 0.662545i
\(21\) 4.23587 1.52167i 0.924343 0.332055i
\(22\) −4.06987 3.20197i −0.867699 0.682662i
\(23\) 1.14288 + 2.75916i 0.238307 + 0.575324i 0.997108 0.0759988i \(-0.0242145\pi\)
−0.758801 + 0.651322i \(0.774215\pi\)
\(24\) 3.83016 + 3.05448i 0.781829 + 0.623493i
\(25\) 5.17290 12.4885i 1.03458 2.49769i
\(26\) 1.73173 + 3.08513i 0.339620 + 0.605044i
\(27\) 4.16181 3.11117i 0.800940 0.598744i
\(28\) 5.05121 1.22316i 0.954588 0.231155i
\(29\) 2.53398 0.504039i 0.470548 0.0935978i 0.0458799 0.998947i \(-0.485391\pi\)
0.424668 + 0.905349i \(0.360391\pi\)
\(30\) −6.90608 + 7.96308i −1.26087 + 1.45385i
\(31\) 2.03735 0.365919 0.182959 0.983120i \(-0.441432\pi\)
0.182959 + 0.983120i \(0.441432\pi\)
\(32\) 4.01954 + 3.98037i 0.710561 + 0.703636i
\(33\) −5.43583 + 3.26747i −0.946257 + 0.568794i
\(34\) 1.80872 0.589648i 0.310193 0.101124i
\(35\) 2.18155 + 10.9674i 0.368749 + 1.85383i
\(36\) 5.16273 3.05715i 0.860456 0.509526i
\(37\) 4.28668 2.86427i 0.704726 0.470883i −0.150852 0.988556i \(-0.548202\pi\)
0.855578 + 0.517674i \(0.173202\pi\)
\(38\) 0.267558 + 0.476664i 0.0434037 + 0.0773252i
\(39\) 4.28535 0.641215i 0.686205 0.102676i
\(40\) −8.91331 + 8.28808i −1.40932 + 1.31046i
\(41\) −4.29457 + 1.77887i −0.670699 + 0.277813i −0.691933 0.721962i \(-0.743241\pi\)
0.0212338 + 0.999775i \(0.493241\pi\)
\(42\) 0.795999 6.31526i 0.122825 0.974467i
\(43\) −1.88124 + 9.45763i −0.286886 + 1.44228i 0.521312 + 0.853366i \(0.325443\pi\)
−0.808199 + 0.588910i \(0.799557\pi\)
\(44\) −6.64472 + 3.07905i −1.00173 + 0.464185i
\(45\) 6.11432 + 11.3698i 0.911469 + 1.69491i
\(46\) 4.21083 + 0.327251i 0.620854 + 0.0482505i
\(47\) 5.57116 5.57116i 0.812637 0.812637i −0.172392 0.985028i \(-0.555150\pi\)
0.985028 + 0.172392i \(0.0551495\pi\)
\(48\) 6.30518 2.87137i 0.910074 0.414446i
\(49\) 0.174869 + 0.174869i 0.0249813 + 0.0249813i
\(50\) −12.4294 14.5242i −1.75779 2.05403i
\(51\) 0.111381 2.32730i 0.0155965 0.325887i
\(52\) 4.99913 0.206223i 0.693254 0.0285981i
\(53\) −1.47041 0.292483i −0.201977 0.0401757i 0.0930650 0.995660i \(-0.470334\pi\)
−0.295042 + 0.955484i \(0.595334\pi\)
\(54\) −1.25534 7.24045i −0.170831 0.985300i
\(55\) −6.02998 14.5576i −0.813082 1.96295i
\(56\) 1.69480 7.15187i 0.226478 0.955709i
\(57\) 0.662102 0.0990701i 0.0876976 0.0131222i
\(58\) 0.988343 3.51758i 0.129776 0.461881i
\(59\) −3.66506 5.48515i −0.477150 0.714105i 0.512328 0.858790i \(-0.328783\pi\)
−0.989478 + 0.144685i \(0.953783\pi\)
\(60\) 5.61361 + 13.8093i 0.724714 + 1.78277i
\(61\) −4.09381 + 0.814309i −0.524158 + 0.104262i −0.450075 0.892991i \(-0.648603\pi\)
−0.0740827 + 0.997252i \(0.523603\pi\)
\(62\) 1.30554 2.56849i 0.165804 0.326199i
\(63\) −6.88455 3.65750i −0.867372 0.460801i
\(64\) 7.59380 2.51680i 0.949224 0.314600i
\(65\) 10.7652i 1.33526i
\(66\) 0.635995 + 8.94678i 0.0782855 + 1.10127i
\(67\) 1.50936 + 7.58806i 0.184398 + 0.927029i 0.956545 + 0.291585i \(0.0941827\pi\)
−0.772147 + 0.635444i \(0.780817\pi\)
\(68\) 0.415668 2.65811i 0.0504071 0.322343i
\(69\) 2.20572 4.67890i 0.265537 0.563274i
\(70\) 15.2245 + 4.27767i 1.81968 + 0.511280i
\(71\) −6.27514 2.59925i −0.744722 0.308474i −0.0221361 0.999755i \(-0.507047\pi\)
−0.722586 + 0.691281i \(0.757047\pi\)
\(72\) −0.545851 8.46771i −0.0643292 0.997929i
\(73\) −15.4732 + 6.40920i −1.81100 + 0.750140i −0.829543 + 0.558443i \(0.811399\pi\)
−0.981454 + 0.191697i \(0.938601\pi\)
\(74\) −0.864060 7.23966i −0.100445 0.841593i
\(75\) −22.0342 + 7.91545i −2.54430 + 0.913997i
\(76\) 0.772384 0.0318623i 0.0885985 0.00365486i
\(77\) 7.91171 + 5.28644i 0.901623 + 0.602446i
\(78\) 1.93769 5.81344i 0.219401 0.658242i
\(79\) 2.31400 2.31400i 0.260345 0.260345i −0.564849 0.825194i \(-0.691066\pi\)
0.825194 + 0.564849i \(0.191066\pi\)
\(80\) 4.73710 + 16.5481i 0.529623 + 1.85013i
\(81\) −8.83584 1.71111i −0.981760 0.190123i
\(82\) −0.509359 + 6.55408i −0.0562493 + 0.723777i
\(83\) 1.62719 + 1.08726i 0.178608 + 0.119342i 0.641660 0.766989i \(-0.278246\pi\)
−0.463053 + 0.886331i \(0.653246\pi\)
\(84\) −7.45158 5.05037i −0.813035 0.551041i
\(85\) 5.67744 + 1.12931i 0.615805 + 0.122491i
\(86\) 10.7177 + 8.43218i 1.15572 + 0.909266i
\(87\) −3.59769 2.66118i −0.385713 0.285309i
\(88\) −0.376205 + 10.3501i −0.0401036 + 1.10332i
\(89\) −4.04231 1.67438i −0.428484 0.177484i 0.158010 0.987438i \(-0.449492\pi\)
−0.586494 + 0.809954i \(0.699492\pi\)
\(90\) 18.2520 0.422520i 1.92393 0.0445376i
\(91\) −3.61170 5.40528i −0.378609 0.566628i
\(92\) 3.11089 5.09890i 0.324333 0.531597i
\(93\) −2.37310 2.61166i −0.246079 0.270817i
\(94\) −3.45354 10.5936i −0.356205 1.09265i
\(95\) 1.66327i 0.170648i
\(96\) 0.420453 9.78893i 0.0429123 0.999079i
\(97\) 1.86899i 0.189767i 0.995488 + 0.0948834i \(0.0302478\pi\)
−0.995488 + 0.0948834i \(0.969752\pi\)
\(98\) 0.332515 0.108401i 0.0335891 0.0109501i
\(99\) 10.5202 + 3.16221i 1.05732 + 0.317814i
\(100\) −26.2755 + 6.36264i −2.62755 + 0.636264i
\(101\) 7.63182 + 11.4218i 0.759395 + 1.13651i 0.986678 + 0.162686i \(0.0520157\pi\)
−0.227283 + 0.973829i \(0.572984\pi\)
\(102\) −2.86266 1.63176i −0.283445 0.161569i
\(103\) 13.4251 + 5.56087i 1.32282 + 0.547929i 0.928598 0.371087i \(-0.121015\pi\)
0.394220 + 0.919016i \(0.371015\pi\)
\(104\) 2.94348 6.43456i 0.288632 0.630960i
\(105\) 11.5179 15.5713i 1.12404 1.51960i
\(106\) −1.31098 + 1.66633i −0.127334 + 0.161848i
\(107\) −2.15026 0.427713i −0.207874 0.0413486i 0.0900550 0.995937i \(-0.471296\pi\)
−0.297929 + 0.954588i \(0.596296\pi\)
\(108\) −9.93248 3.05710i −0.955753 0.294170i
\(109\) −14.2766 9.53929i −1.36745 0.913698i −0.367579 0.929992i \(-0.619813\pi\)
−0.999867 + 0.0162943i \(0.994813\pi\)
\(110\) −22.2169 1.72662i −2.11830 0.164626i
\(111\) −8.66479 2.15877i −0.822426 0.204901i
\(112\) −7.93033 6.71960i −0.749346 0.634942i
\(113\) −8.95069 + 8.95069i −0.842010 + 0.842010i −0.989120 0.147110i \(-0.953003\pi\)
0.147110 + 0.989120i \(0.453003\pi\)
\(114\) 0.299381 0.898198i 0.0280396 0.0841240i
\(115\) 10.6856 + 7.13987i 0.996434 + 0.665796i
\(116\) −3.80128 3.50009i −0.352940 0.324975i
\(117\) −5.81353 4.74647i −0.537461 0.438811i
\(118\) −9.26372 + 1.10563i −0.852795 + 0.101782i
\(119\) −3.22955 + 1.33773i −0.296053 + 0.122629i
\(120\) 21.0066 + 1.77198i 1.91763 + 0.161758i
\(121\) −2.22490 0.921585i −0.202264 0.0837805i
\(122\) −1.59673 + 5.68288i −0.144561 + 0.514504i
\(123\) 7.28262 + 3.43315i 0.656652 + 0.309557i
\(124\) −2.40150 3.29180i −0.215661 0.295613i
\(125\) −7.15047 35.9478i −0.639557 3.21527i
\(126\) −9.02267 + 6.33562i −0.803803 + 0.564422i
\(127\) 17.0863i 1.51617i 0.652158 + 0.758083i \(0.273864\pi\)
−0.652158 + 0.758083i \(0.726136\pi\)
\(128\) 1.69321 11.1863i 0.149660 0.988737i
\(129\) 14.3149 8.60468i 1.26036 0.757600i
\(130\) 13.5718 + 6.89842i 1.19032 + 0.605032i
\(131\) 1.56358 0.311016i 0.136611 0.0271736i −0.126311 0.991991i \(-0.540314\pi\)
0.262922 + 0.964817i \(0.415314\pi\)
\(132\) 11.6868 + 4.93134i 1.01720 + 0.429218i
\(133\) −0.558021 0.835137i −0.0483865 0.0724155i
\(134\) 10.5335 + 2.95962i 0.909954 + 0.255672i
\(135\) 7.45289 21.0814i 0.641442 1.81440i
\(136\) −3.08472 2.22736i −0.264512 0.190995i
\(137\) 5.56434 + 13.4335i 0.475393 + 1.14770i 0.961747 + 0.273939i \(0.0883267\pi\)
−0.486354 + 0.873762i \(0.661673\pi\)
\(138\) −4.48527 5.77902i −0.381811 0.491943i
\(139\) −4.94256 0.983137i −0.419223 0.0833886i −0.0190285 0.999819i \(-0.506057\pi\)
−0.400194 + 0.916430i \(0.631057\pi\)
\(140\) 15.1488 16.4524i 1.28031 1.39049i
\(141\) −13.6309 0.652353i −1.14793 0.0549380i
\(142\) −7.29802 + 6.24547i −0.612436 + 0.524108i
\(143\) 6.47745 + 6.47745i 0.541672 + 0.541672i
\(144\) −11.0250 4.73799i −0.918753 0.394833i
\(145\) 7.86148 7.86148i 0.652860 0.652860i
\(146\) −1.83520 + 23.6141i −0.151882 + 1.95432i
\(147\) 0.0204763 0.427850i 0.00168885 0.0352885i
\(148\) −9.68075 3.54989i −0.795752 0.291799i
\(149\) 0.473681 2.38135i 0.0388054 0.195088i −0.956520 0.291667i \(-0.905790\pi\)
0.995325 + 0.0965790i \(0.0307900\pi\)
\(150\) −4.14064 + 32.8509i −0.338082 + 2.68226i
\(151\) −1.17767 + 0.487807i −0.0958374 + 0.0396972i −0.430087 0.902787i \(-0.641517\pi\)
0.334250 + 0.942485i \(0.391517\pi\)
\(152\) 0.454779 0.994164i 0.0368874 0.0806373i
\(153\) −3.11308 + 2.56806i −0.251678 + 0.207615i
\(154\) 11.7345 6.58673i 0.945592 0.530774i
\(155\) 7.28958 4.87074i 0.585513 0.391227i
\(156\) −6.08733 6.16813i −0.487376 0.493846i
\(157\) 2.08481 + 10.4811i 0.166386 + 0.836479i 0.970332 + 0.241777i \(0.0777302\pi\)
−0.803946 + 0.594703i \(0.797270\pi\)
\(158\) −1.43444 4.40008i −0.114118 0.350052i
\(159\) 1.33780 + 2.22559i 0.106094 + 0.176501i
\(160\) 23.8977 + 4.63203i 1.88928 + 0.366194i
\(161\) −7.76067 −0.611627
\(162\) −7.81925 + 10.0429i −0.614339 + 0.789043i
\(163\) −7.80064 + 1.55164i −0.610993 + 0.121534i −0.490882 0.871226i \(-0.663325\pi\)
−0.120112 + 0.992760i \(0.538325\pi\)
\(164\) 7.93634 + 4.84204i 0.619724 + 0.378100i
\(165\) −11.6376 + 24.6865i −0.905989 + 1.92184i
\(166\) 2.41342 1.35469i 0.187318 0.105144i
\(167\) 6.86336 16.5696i 0.531103 1.28220i −0.399691 0.916650i \(-0.630882\pi\)
0.930793 0.365545i \(-0.119118\pi\)
\(168\) −11.1420 + 6.15792i −0.859626 + 0.475094i
\(169\) 2.57988 + 6.22838i 0.198452 + 0.479106i
\(170\) 5.06186 6.43389i 0.388227 0.493457i
\(171\) −0.898212 0.733347i −0.0686880 0.0560805i
\(172\) 17.4985 8.10849i 1.33424 0.618267i
\(173\) 7.24199 10.8384i 0.550598 0.824029i −0.446910 0.894579i \(-0.647476\pi\)
0.997508 + 0.0705503i \(0.0224755\pi\)
\(174\) −5.66038 + 2.83032i −0.429112 + 0.214566i
\(175\) 24.8381 + 24.8381i 1.87758 + 1.87758i
\(176\) 12.8073 + 7.10667i 0.965386 + 0.535685i
\(177\) −2.76232 + 11.0873i −0.207628 + 0.833372i
\(178\) −4.70122 + 4.02319i −0.352372 + 0.301551i
\(179\) −3.45085 + 5.16456i −0.257929 + 0.386018i −0.937722 0.347386i \(-0.887069\pi\)
0.679794 + 0.733404i \(0.262069\pi\)
\(180\) 11.1633 23.2811i 0.832063 1.73527i
\(181\) 2.65101 13.3275i 0.197048 0.990627i −0.748001 0.663698i \(-0.768986\pi\)
0.945049 0.326929i \(-0.106014\pi\)
\(182\) −9.12884 + 1.08954i −0.676675 + 0.0807618i
\(183\) 5.81231 + 4.29931i 0.429658 + 0.317814i
\(184\) −4.43472 7.18931i −0.326932 0.530003i
\(185\) 8.48994 20.4965i 0.624193 1.50693i
\(186\) −4.81322 + 1.31820i −0.352923 + 0.0966554i
\(187\) 4.09563 2.73661i 0.299502 0.200121i
\(188\) −15.5684 2.43455i −1.13544 0.177557i
\(189\) 3.33059 + 13.0855i 0.242265 + 0.951829i
\(190\) 2.09689 + 1.06583i 0.152124 + 0.0773236i
\(191\) −13.5497 −0.980420 −0.490210 0.871604i \(-0.663080\pi\)
−0.490210 + 0.871604i \(0.663080\pi\)
\(192\) −12.0715 6.80286i −0.871185 0.490954i
\(193\) −20.6394 −1.48566 −0.742830 0.669480i \(-0.766517\pi\)
−0.742830 + 0.669480i \(0.766517\pi\)
\(194\) 2.35623 + 1.19766i 0.169168 + 0.0859867i
\(195\) 13.7999 12.5393i 0.988230 0.897960i
\(196\) 0.0764163 0.488666i 0.00545830 0.0349047i
\(197\) −2.97611 + 1.98857i −0.212039 + 0.141680i −0.657055 0.753843i \(-0.728198\pi\)
0.445016 + 0.895523i \(0.353198\pi\)
\(198\) 10.7280 11.2365i 0.762406 0.798540i
\(199\) 5.60732 13.5373i 0.397492 0.959631i −0.590767 0.806842i \(-0.701175\pi\)
0.988259 0.152788i \(-0.0488253\pi\)
\(200\) −8.81607 + 37.2027i −0.623390 + 2.63063i
\(201\) 7.96898 10.7734i 0.562088 0.759896i
\(202\) 19.2900 2.30228i 1.35724 0.161988i
\(203\) −1.30979 + 6.58478i −0.0919295 + 0.462161i
\(204\) −3.89157 + 2.56331i −0.272465 + 0.179468i
\(205\) −11.1131 + 16.6319i −0.776169 + 1.16162i
\(206\) 15.6135 13.3617i 1.08784 0.930951i
\(207\) −8.56706 + 2.62249i −0.595452 + 0.182275i
\(208\) −6.22586 7.83415i −0.431686 0.543201i
\(209\) 1.00079 + 1.00079i 0.0692261 + 0.0692261i
\(210\) −12.2500 24.4988i −0.845330 1.69058i
\(211\) 10.2740 15.3761i 0.707289 1.05853i −0.287619 0.957745i \(-0.592864\pi\)
0.994908 0.100788i \(-0.0321362\pi\)
\(212\) 1.26066 + 2.72055i 0.0865823 + 0.186848i
\(213\) 3.97731 + 11.0717i 0.272521 + 0.758617i
\(214\) −1.91712 + 2.43676i −0.131051 + 0.166573i
\(215\) 15.8796 + 38.3367i 1.08298 + 2.61454i
\(216\) −10.2189 + 10.5629i −0.695307 + 0.718713i
\(217\) −2.02602 + 4.89125i −0.137535 + 0.332040i
\(218\) −21.1747 + 11.8856i −1.43413 + 0.804998i
\(219\) 26.2390 + 12.3695i 1.77307 + 0.835854i
\(220\) −16.4134 + 26.9024i −1.10659 + 1.81376i
\(221\) −3.30062 + 0.656535i −0.222024 + 0.0441633i
\(222\) −8.27401 + 9.54037i −0.555315 + 0.640308i
\(223\) −19.2274 −1.28756 −0.643782 0.765209i \(-0.722636\pi\)
−0.643782 + 0.765209i \(0.722636\pi\)
\(224\) −13.5532 + 5.69183i −0.905562 + 0.380301i
\(225\) 35.8122 + 19.0256i 2.38748 + 1.26838i
\(226\) 5.54850 + 17.0198i 0.369081 + 1.13214i
\(227\) −1.97234 9.91561i −0.130909 0.658122i −0.989391 0.145279i \(-0.953592\pi\)
0.858482 0.512844i \(-0.171408\pi\)
\(228\) −0.940515 0.953000i −0.0622871 0.0631140i
\(229\) 14.4937 9.68436i 0.957768 0.639960i 0.0247136 0.999695i \(-0.492133\pi\)
0.933055 + 0.359734i \(0.117133\pi\)
\(230\) 15.8486 8.89605i 1.04503 0.586588i
\(231\) −2.43890 16.2996i −0.160468 1.07243i
\(232\) −6.84845 + 2.54941i −0.449623 + 0.167377i
\(233\) −7.39105 + 3.06147i −0.484203 + 0.200564i −0.611412 0.791312i \(-0.709398\pi\)
0.127209 + 0.991876i \(0.459398\pi\)
\(234\) −9.70922 + 4.28756i −0.634712 + 0.280287i
\(235\) 6.61434 33.2525i 0.431472 2.16916i
\(236\) −4.54237 + 12.3873i −0.295683 + 0.806344i
\(237\) −5.66163 0.270957i −0.367763 0.0176005i
\(238\) −0.383043 + 4.92873i −0.0248290 + 0.319482i
\(239\) −8.30613 + 8.30613i −0.537279 + 0.537279i −0.922729 0.385450i \(-0.874046\pi\)
0.385450 + 0.922729i \(0.374046\pi\)
\(240\) 15.6951 25.3476i 1.01311 1.63618i
\(241\) 3.01268 + 3.01268i 0.194063 + 0.194063i 0.797449 0.603386i \(-0.206182\pi\)
−0.603386 + 0.797449i \(0.706182\pi\)
\(242\) −2.58757 + 2.21438i −0.166336 + 0.142346i
\(243\) 8.09851 + 13.3197i 0.519519 + 0.854459i
\(244\) 6.14122 + 5.65462i 0.393152 + 0.362000i
\(245\) 1.04374 + 0.207613i 0.0666821 + 0.0132639i
\(246\) 8.99492 6.98123i 0.573495 0.445107i
\(247\) −0.370038 0.893350i −0.0235449 0.0568425i
\(248\) −5.68888 + 0.918170i −0.361244 + 0.0583039i
\(249\) −0.501606 3.35232i −0.0317880 0.212445i
\(250\) −49.9015 14.0209i −3.15605 0.886763i
\(251\) −7.23109 10.8221i −0.456422 0.683085i 0.529872 0.848077i \(-0.322240\pi\)
−0.986295 + 0.164993i \(0.947240\pi\)
\(252\) 2.20555 + 15.4348i 0.138937 + 0.972300i
\(253\) 10.7256 2.13345i 0.674311 0.134129i
\(254\) 21.5408 + 10.9490i 1.35159 + 0.687002i
\(255\) −5.16541 8.59329i −0.323471 0.538133i
\(256\) −13.0176 9.30287i −0.813597 0.581429i
\(257\) 27.8550i 1.73755i −0.495210 0.868773i \(-0.664909\pi\)
0.495210 0.868773i \(-0.335091\pi\)
\(258\) −1.67485 23.5608i −0.104272 1.46683i
\(259\) 2.61366 + 13.1398i 0.162405 + 0.816464i
\(260\) 17.3937 12.6894i 1.07871 0.786963i
\(261\) 0.779237 + 7.71159i 0.0482336 + 0.477336i
\(262\) 0.609854 2.17051i 0.0376769 0.134095i
\(263\) 10.8728 + 4.50368i 0.670448 + 0.277709i 0.691828 0.722063i \(-0.256806\pi\)
−0.0213794 + 0.999771i \(0.506806\pi\)
\(264\) 13.7059 11.5735i 0.843539 0.712299i
\(265\) −5.96034 + 2.46885i −0.366141 + 0.151660i
\(266\) −1.41044 + 0.168337i −0.0864797 + 0.0103214i
\(267\) 2.56210 + 7.13211i 0.156798 + 0.436478i
\(268\) 10.4811 11.3830i 0.640235 0.695330i
\(269\) −3.40585 2.27572i −0.207658 0.138753i 0.447392 0.894338i \(-0.352353\pi\)
−0.655051 + 0.755585i \(0.727353\pi\)
\(270\) −21.8015 22.9049i −1.32680 1.39395i
\(271\) −1.68641 + 1.68641i −0.102442 + 0.102442i −0.756470 0.654028i \(-0.773078\pi\)
0.654028 + 0.756470i \(0.273078\pi\)
\(272\) −4.78474 + 2.46160i −0.290118 + 0.149257i
\(273\) −2.72210 + 10.9259i −0.164749 + 0.661263i
\(274\) 20.5013 + 1.59329i 1.23853 + 0.0962540i
\(275\) −41.1553 27.4991i −2.48176 1.65826i
\(276\) −10.1598 + 1.95136i −0.611548 + 0.117458i
\(277\) 3.18127 + 0.632795i 0.191144 + 0.0380210i 0.289734 0.957107i \(-0.406433\pi\)
−0.0985898 + 0.995128i \(0.531433\pi\)
\(278\) −4.40666 + 5.60110i −0.264294 + 0.335931i
\(279\) −0.583689 + 6.08412i −0.0349446 + 0.364246i
\(280\) −11.0342 29.6410i −0.659418 1.77139i
\(281\) −22.6232 9.37084i −1.34959 0.559018i −0.413410 0.910545i \(-0.635662\pi\)
−0.936178 + 0.351527i \(0.885662\pi\)
\(282\) −9.55717 + 16.7665i −0.569121 + 0.998428i
\(283\) 1.43456 + 2.14698i 0.0852760 + 0.127625i 0.871655 0.490119i \(-0.163047\pi\)
−0.786379 + 0.617744i \(0.788047\pi\)
\(284\) 3.19706 + 13.2028i 0.189711 + 0.783439i
\(285\) 2.13213 1.93737i 0.126297 0.114760i
\(286\) 12.3169 4.01535i 0.728314 0.237433i
\(287\) 12.0793i 0.713020i
\(288\) −13.0381 + 10.8631i −0.768277 + 0.640117i
\(289\) 15.1904i 0.893554i
\(290\) −4.87330 14.9487i −0.286170 0.877815i
\(291\) 2.39584 2.17699i 0.140447 0.127617i
\(292\) 28.5943 + 17.4457i 1.67336 + 1.02093i
\(293\) −9.50218 14.2210i −0.555123 0.830800i 0.442705 0.896667i \(-0.354019\pi\)
−0.997828 + 0.0658668i \(0.979019\pi\)
\(294\) −0.526271 0.299983i −0.0306927 0.0174954i
\(295\) −26.2269 10.8636i −1.52699 0.632500i
\(296\) −10.6788 + 9.92975i −0.620694 + 0.577155i
\(297\) −8.20028 17.1691i −0.475828 0.996251i
\(298\) −2.69864 2.12315i −0.156328 0.122991i
\(299\) −7.32771 1.45757i −0.423772 0.0842936i
\(300\) 38.7618 + 26.2711i 2.23791 + 1.51676i
\(301\) −20.8350 13.9215i −1.20091 0.802422i
\(302\) −0.139678 + 1.79728i −0.00803757 + 0.103422i
\(303\) 5.75203 23.0873i 0.330445 1.32633i
\(304\) −0.961919 1.21041i −0.0551698 0.0694215i
\(305\) −12.7007 + 12.7007i −0.727242 + 0.727242i
\(306\) 1.24267 + 5.57029i 0.0710388 + 0.318432i
\(307\) −6.85681 4.58157i −0.391339 0.261484i 0.344298 0.938860i \(-0.388117\pi\)
−0.735637 + 0.677376i \(0.763117\pi\)
\(308\) −0.784384 19.0145i −0.0446944 1.08345i
\(309\) −8.50912 23.6869i −0.484067 1.34750i
\(310\) −1.46935 12.3112i −0.0834535 0.699228i
\(311\) 30.1840 12.5026i 1.71157 0.708958i 0.711595 0.702590i \(-0.247973\pi\)
0.999980 0.00636791i \(-0.00202698\pi\)
\(312\) −11.6770 + 3.72173i −0.661078 + 0.210702i
\(313\) −6.61643 2.74061i −0.373982 0.154909i 0.187772 0.982213i \(-0.439873\pi\)
−0.561754 + 0.827304i \(0.689873\pi\)
\(314\) 14.5494 + 4.08799i 0.821073 + 0.230699i
\(315\) −33.3768 + 3.37264i −1.88057 + 0.190027i
\(316\) −6.46639 1.01120i −0.363763 0.0568842i
\(317\) 3.68607 + 18.5311i 0.207031 + 1.04081i 0.934850 + 0.355044i \(0.115534\pi\)
−0.727819 + 0.685769i \(0.759466\pi\)
\(318\) 3.66308 0.260395i 0.205415 0.0146022i
\(319\) 9.46050i 0.529687i
\(320\) 21.1534 27.1597i 1.18251 1.51827i
\(321\) 1.95634 + 3.25460i 0.109192 + 0.181654i
\(322\) −4.97308 + 9.78389i −0.277139 + 0.545235i
\(323\) −0.509959 + 0.101437i −0.0283749 + 0.00564411i
\(324\) 7.65045 + 16.2933i 0.425025 + 0.905182i
\(325\) 18.7874 + 28.1173i 1.04214 + 1.55967i
\(326\) −3.04253 + 10.8286i −0.168510 + 0.599740i
\(327\) 4.40095 + 29.4123i 0.243373 + 1.62651i
\(328\) 11.1900 6.90255i 0.617865 0.381130i
\(329\) 7.83499 + 18.9153i 0.431957 + 1.04284i
\(330\) 23.6648 + 30.4908i 1.30271 + 1.67846i
\(331\) 19.6169 + 3.90204i 1.07824 + 0.214476i 0.702094 0.712084i \(-0.252249\pi\)
0.376147 + 0.926560i \(0.377249\pi\)
\(332\) −0.161323 3.91069i −0.00885377 0.214627i
\(333\) 7.32542 + 13.6219i 0.401431 + 0.746473i
\(334\) −16.4913 19.2705i −0.902362 1.05444i
\(335\) 23.5414 + 23.5414i 1.28620 + 1.28620i
\(336\) 0.623431 + 17.9928i 0.0340110 + 0.981588i
\(337\) 3.84192 3.84192i 0.209283 0.209283i −0.594680 0.803963i \(-0.702721\pi\)
0.803963 + 0.594680i \(0.202721\pi\)
\(338\) 9.50532 + 0.738720i 0.517021 + 0.0401811i
\(339\) 21.8996 + 1.04808i 1.18942 + 0.0569238i
\(340\) −4.86755 10.5044i −0.263980 0.569680i
\(341\) 1.45542 7.31687i 0.0788152 0.396231i
\(342\) −1.50011 + 0.662445i −0.0811167 + 0.0358209i
\(343\) −17.3992 + 7.20700i −0.939471 + 0.389142i
\(344\) 0.990712 27.2563i 0.0534156 1.46956i
\(345\) −3.29398 22.0142i −0.177342 1.18521i
\(346\) −9.02329 16.0753i −0.485095 0.864213i
\(347\) −14.6437 + 9.78460i −0.786114 + 0.525265i −0.882631 0.470067i \(-0.844230\pi\)
0.0965168 + 0.995331i \(0.469230\pi\)
\(348\) −0.0590103 + 8.94973i −0.00316328 + 0.479756i
\(349\) −0.173660 0.873047i −0.00929580 0.0467332i 0.975859 0.218402i \(-0.0700842\pi\)
−0.985155 + 0.171668i \(0.945084\pi\)
\(350\) 47.2297 15.3970i 2.52454 0.823006i
\(351\) 0.687124 + 12.9810i 0.0366760 + 0.692874i
\(352\) 17.1664 11.5922i 0.914971 0.617866i
\(353\) 33.0774 1.76053 0.880266 0.474481i \(-0.157364\pi\)
0.880266 + 0.474481i \(0.157364\pi\)
\(354\) 12.2077 + 10.5873i 0.648830 + 0.562706i
\(355\) −28.6663 + 5.70209i −1.52145 + 0.302636i
\(356\) 2.05948 + 8.50492i 0.109152 + 0.450760i
\(357\) 5.47660 + 2.58176i 0.289852 + 0.136641i
\(358\) 4.29965 + 7.65997i 0.227244 + 0.404842i
\(359\) −4.91221 + 11.8591i −0.259257 + 0.625901i −0.998890 0.0471093i \(-0.984999\pi\)
0.739633 + 0.673010i \(0.234999\pi\)
\(360\) −22.1970 28.9922i −1.16988 1.52802i
\(361\) 7.21381 + 17.4157i 0.379674 + 0.916615i
\(362\) −15.1032 11.8825i −0.793809 0.624529i
\(363\) 1.41019 + 3.92555i 0.0740157 + 0.206038i
\(364\) −4.47623 + 12.2069i −0.234618 + 0.639817i
\(365\) −40.0399 + 59.9240i −2.09579 + 3.13656i
\(366\) 9.14471 4.57257i 0.478002 0.239012i
\(367\) 0.647822 + 0.647822i 0.0338161 + 0.0338161i 0.723813 0.689997i \(-0.242388\pi\)
−0.689997 + 0.723813i \(0.742388\pi\)
\(368\) −11.9054 + 0.983912i −0.620610 + 0.0512899i
\(369\) −4.08185 13.3345i −0.212492 0.694164i
\(370\) −20.3996 23.8376i −1.06053 1.23926i
\(371\) 2.16443 3.23929i 0.112371 0.168176i
\(372\) −1.42248 + 6.91275i −0.0737520 + 0.358409i
\(373\) 3.01645 15.1647i 0.156186 0.785200i −0.820687 0.571378i \(-0.806409\pi\)
0.976873 0.213821i \(-0.0685911\pi\)
\(374\) −0.825550 6.91700i −0.0426882 0.357670i
\(375\) −37.7524 + 51.0381i −1.94952 + 2.63559i
\(376\) −13.0456 + 18.0670i −0.672773 + 0.931737i
\(377\) −2.47344 + 5.97142i −0.127389 + 0.307544i
\(378\) 18.6312 + 4.18637i 0.958283 + 0.215324i
\(379\) −2.79369 + 1.86669i −0.143502 + 0.0958852i −0.625249 0.780425i \(-0.715003\pi\)
0.481747 + 0.876311i \(0.340003\pi\)
\(380\) 2.68739 1.96056i 0.137860 0.100575i
\(381\) 21.9028 19.9021i 1.12212 1.01962i
\(382\) −8.68271 + 17.0821i −0.444246 + 0.873996i
\(383\) −23.3643 −1.19386 −0.596931 0.802293i \(-0.703613\pi\)
−0.596931 + 0.802293i \(0.703613\pi\)
\(384\) −16.3119 + 10.8592i −0.832411 + 0.554158i
\(385\) 40.9463 2.08682
\(386\) −13.2259 + 26.0202i −0.673179 + 1.32439i
\(387\) −27.7043 8.32749i −1.40829 0.423310i
\(388\) 3.01977 2.20304i 0.153306 0.111843i
\(389\) 10.1512 6.78284i 0.514688 0.343904i −0.270946 0.962594i \(-0.587337\pi\)
0.785635 + 0.618691i \(0.212337\pi\)
\(390\) −6.96531 25.4328i −0.352702 1.28784i
\(391\) −1.53741 + 3.71163i −0.0777501 + 0.187705i
\(392\) −0.567094 0.409478i −0.0286426 0.0206817i
\(393\) −2.21995 1.64207i −0.111981 0.0828316i
\(394\) 0.599890 + 5.02627i 0.0302220 + 0.253220i
\(395\) 2.74729 13.8115i 0.138231 0.694934i
\(396\) −7.29127 20.7252i −0.366400 1.04148i
\(397\) 15.0250 22.4865i 0.754083 1.12856i −0.233636 0.972324i \(-0.575062\pi\)
0.987719 0.156241i \(-0.0499376\pi\)
\(398\) −13.4732 15.7439i −0.675353 0.789170i
\(399\) −0.420574 + 1.68809i −0.0210551 + 0.0845101i
\(400\) 41.2522 + 34.9541i 2.06261 + 1.74771i
\(401\) 1.77953 + 1.77953i 0.0888656 + 0.0888656i 0.750142 0.661277i \(-0.229985\pi\)
−0.661277 + 0.750142i \(0.729985\pi\)
\(402\) −8.47546 16.9501i −0.422718 0.845396i
\(403\) −2.83164 + 4.23785i −0.141054 + 0.211102i
\(404\) 9.45866 25.7943i 0.470586 1.28331i
\(405\) −35.7052 + 15.0018i −1.77420 + 0.745443i
\(406\) 7.46212 + 5.87082i 0.370339 + 0.291364i
\(407\) −7.22437 17.4412i −0.358099 0.864526i
\(408\) 0.737834 + 6.54870i 0.0365282 + 0.324209i
\(409\) −7.30266 + 17.6302i −0.361093 + 0.871756i 0.634048 + 0.773294i \(0.281392\pi\)
−0.995141 + 0.0984620i \(0.968608\pi\)
\(410\) 13.8465 + 24.6680i 0.683831 + 1.21827i
\(411\) 10.7390 22.7802i 0.529714 1.12366i
\(412\) −6.83985 28.2462i −0.336975 1.39159i
\(413\) 16.8134 3.34439i 0.827331 0.164566i
\(414\) −2.18365 + 12.4810i −0.107320 + 0.613408i
\(415\) 8.42137 0.413389
\(416\) −13.8661 + 2.82879i −0.679841 + 0.138693i
\(417\) 4.49681 + 7.48099i 0.220210 + 0.366345i
\(418\) 1.90301 0.620386i 0.0930793 0.0303441i
\(419\) 2.89265 + 14.5424i 0.141315 + 0.710440i 0.984856 + 0.173375i \(0.0554672\pi\)
−0.843541 + 0.537066i \(0.819533\pi\)
\(420\) −38.7356 0.255404i −1.89010 0.0124624i
\(421\) −9.40305 + 6.28291i −0.458276 + 0.306211i −0.763195 0.646168i \(-0.776371\pi\)
0.304919 + 0.952378i \(0.401371\pi\)
\(422\) −12.8010 22.8055i −0.623144 1.11015i
\(423\) 15.0410 + 18.2332i 0.731317 + 0.886528i
\(424\) 4.23764 + 0.154030i 0.205798 + 0.00748034i
\(425\) 16.7996 6.95861i 0.814898 0.337542i
\(426\) 16.5067 + 2.08057i 0.799754 + 0.100804i
\(427\) 2.11606 10.6381i 0.102403 0.514816i
\(428\) 1.84352 + 3.97840i 0.0891101 + 0.192303i
\(429\) 0.758475 15.8483i 0.0366195 0.765164i
\(430\) 58.5068 + 4.54694i 2.82145 + 0.219273i
\(431\) 0.840930 0.840930i 0.0405062 0.0405062i −0.686564 0.727070i \(-0.740882\pi\)
0.727070 + 0.686564i \(0.240882\pi\)
\(432\) 6.76833 + 19.6517i 0.325642 + 0.945493i
\(433\) 0.498959 + 0.498959i 0.0239785 + 0.0239785i 0.718994 0.695016i \(-0.244603\pi\)
−0.695016 + 0.718994i \(0.744603\pi\)
\(434\) 4.86812 + 5.68854i 0.233677 + 0.273059i
\(435\) −19.2346 0.920537i −0.922228 0.0441364i
\(436\) 1.41541 + 34.3113i 0.0677857 + 1.64322i
\(437\) −1.13216 0.225200i −0.0541585 0.0107728i
\(438\) 32.4084 25.1531i 1.54853 1.20186i
\(439\) −5.55530 13.4117i −0.265140 0.640105i 0.734102 0.679040i \(-0.237604\pi\)
−0.999242 + 0.0389347i \(0.987604\pi\)
\(440\) 23.3981 + 37.9317i 1.11546 + 1.80832i
\(441\) −0.572309 + 0.472111i −0.0272528 + 0.0224815i
\(442\) −1.28736 + 4.58181i −0.0612336 + 0.217935i
\(443\) −1.97447 2.95500i −0.0938100 0.140397i 0.781596 0.623785i \(-0.214406\pi\)
−0.875406 + 0.483388i \(0.839406\pi\)
\(444\) 6.72553 + 16.5446i 0.319180 + 0.785171i
\(445\) −18.4662 + 3.67316i −0.875383 + 0.174125i
\(446\) −12.3210 + 24.2400i −0.583418 + 1.14780i
\(447\) −3.60438 + 2.16659i −0.170481 + 0.102476i
\(448\) −1.50927 + 20.7339i −0.0713061 + 0.979585i
\(449\) 5.09669i 0.240527i 0.992742 + 0.120264i \(0.0383740\pi\)
−0.992742 + 0.120264i \(0.961626\pi\)
\(450\) 46.9343 32.9568i 2.21250 1.55360i
\(451\) 3.32067 + 16.6941i 0.156364 + 0.786096i
\(452\) 25.0124 + 3.91137i 1.17648 + 0.183975i
\(453\) 1.99706 + 0.941450i 0.0938302 + 0.0442332i
\(454\) −13.7645 3.86745i −0.646001 0.181508i
\(455\) −25.8451 10.7054i −1.21164 0.501876i
\(456\) −1.80414 + 0.575022i −0.0844864 + 0.0269279i
\(457\) 32.8641 13.6128i 1.53732 0.636779i 0.556351 0.830947i \(-0.312201\pi\)
0.980968 + 0.194169i \(0.0622009\pi\)
\(458\) −2.92147 24.4780i −0.136511 1.14378i
\(459\) 6.91808 + 0.999374i 0.322908 + 0.0466468i
\(460\) −1.05939 25.6810i −0.0493943 1.19738i
\(461\) 8.02408 + 5.36152i 0.373719 + 0.249711i 0.728218 0.685345i \(-0.240349\pi\)
−0.354500 + 0.935056i \(0.615349\pi\)
\(462\) −22.1118 7.37014i −1.02873 0.342890i
\(463\) −13.9676 + 13.9676i −0.649129 + 0.649129i −0.952782 0.303654i \(-0.901793\pi\)
0.303654 + 0.952782i \(0.401793\pi\)
\(464\) −1.17448 + 10.2675i −0.0545237 + 0.476658i
\(465\) −14.7346 3.67103i −0.683303 0.170240i
\(466\) −0.876619 + 11.2797i −0.0406086 + 0.522522i
\(467\) −26.7190 17.8531i −1.23641 0.826141i −0.246678 0.969097i \(-0.579339\pi\)
−0.989729 + 0.142957i \(0.954339\pi\)
\(468\) −0.816379 + 14.9879i −0.0377371 + 0.692817i
\(469\) −19.7183 3.92221i −0.910506 0.181111i
\(470\) −37.6830 29.6471i −1.73819 1.36752i
\(471\) 11.0072 14.8808i 0.507185 0.685672i
\(472\) 12.7059 + 13.6644i 0.584836 + 0.628955i
\(473\) 32.6219 + 13.5124i 1.49996 + 0.621303i
\(474\) −3.96960 + 6.96400i −0.182330 + 0.319867i
\(475\) 2.90272 + 4.34423i 0.133186 + 0.199327i
\(476\) 5.96820 + 3.64126i 0.273552 + 0.166897i
\(477\) 1.29470 4.30728i 0.0592804 0.197217i
\(478\) 5.14894 + 15.7942i 0.235507 + 0.722408i
\(479\) 6.21762i 0.284090i −0.989860 0.142045i \(-0.954632\pi\)
0.989860 0.142045i \(-0.0453678\pi\)
\(480\) −21.8983 36.0297i −0.999514 1.64452i
\(481\) 12.8976i 0.588079i
\(482\) 5.72862 1.86755i 0.260932 0.0850644i
\(483\) 9.03961 + 9.94835i 0.411317 + 0.452665i
\(484\) 1.13355 + 4.68115i 0.0515248 + 0.212779i
\(485\) 4.46823 + 6.68717i 0.202892 + 0.303649i
\(486\) 21.9817 1.67447i 0.997111 0.0759557i
\(487\) 1.30351 + 0.539930i 0.0590676 + 0.0244666i 0.412022 0.911174i \(-0.364823\pi\)
−0.352954 + 0.935641i \(0.614823\pi\)
\(488\) 11.0641 4.11874i 0.500849 0.186447i
\(489\) 11.0752 + 8.19223i 0.500838 + 0.370465i
\(490\) 0.930572 1.18281i 0.0420390 0.0534337i
\(491\) 10.3424 + 2.05722i 0.466744 + 0.0928411i 0.422859 0.906195i \(-0.361027\pi\)
0.0438848 + 0.999037i \(0.486027\pi\)
\(492\) −3.03725 15.8135i −0.136930 0.712929i
\(493\) 2.88977 + 1.93088i 0.130149 + 0.0869627i
\(494\) −1.36337 0.105956i −0.0613409 0.00476719i
\(495\) 45.2009 13.8366i 2.03163 0.621907i
\(496\) −2.48792 + 7.76034i −0.111711 + 0.348450i
\(497\) 12.4805 12.4805i 0.559827 0.559827i
\(498\) −4.54770 1.51581i −0.203788 0.0679250i
\(499\) −10.5229 7.03120i −0.471071 0.314760i 0.297277 0.954791i \(-0.403921\pi\)
−0.768349 + 0.640031i \(0.778921\pi\)
\(500\) −49.6534 + 53.9263i −2.22057 + 2.41166i
\(501\) −29.2349 + 10.5022i −1.30612 + 0.469202i
\(502\) −18.2772 + 2.18140i −0.815749 + 0.0973604i
\(503\) 6.66908 2.76242i 0.297360 0.123170i −0.229016 0.973423i \(-0.573551\pi\)
0.526375 + 0.850252i \(0.323551\pi\)
\(504\) 20.8720 + 7.11015i 0.929712 + 0.316711i
\(505\) 54.6129 + 22.6214i 2.43024 + 1.00664i
\(506\) 4.18336 14.8889i 0.185973 0.661891i
\(507\) 4.97907 10.5619i 0.221128 0.469071i
\(508\) 27.6069 20.1403i 1.22486 0.893581i
\(509\) −1.85153 9.30829i −0.0820678 0.412583i −0.999879 0.0155653i \(-0.995045\pi\)
0.917811 0.397018i \(-0.129955\pi\)
\(510\) −14.1436 + 1.00542i −0.626289 + 0.0445207i
\(511\) 43.5214i 1.92527i
\(512\) −20.0699 + 10.4499i −0.886971 + 0.461826i
\(513\) 0.106163 + 2.00561i 0.00468722 + 0.0885499i
\(514\) −35.1168 17.8496i −1.54894 0.787313i
\(515\) 61.3293 12.1991i 2.70249 0.537559i
\(516\) −30.7764 12.9864i −1.35485 0.571694i
\(517\) −16.0282 23.9879i −0.704920 1.05499i
\(518\) 18.2402 + 5.12498i 0.801426 + 0.225179i
\(519\) −22.3291 + 3.34110i −0.980140 + 0.146658i
\(520\) −4.85156 30.0597i −0.212755 1.31821i
\(521\) 6.13573 + 14.8130i 0.268811 + 0.648968i 0.999428 0.0338199i \(-0.0107673\pi\)
−0.730617 + 0.682788i \(0.760767\pi\)
\(522\) 10.2214 + 3.95924i 0.447377 + 0.173291i
\(523\) −31.6109 6.28780i −1.38225 0.274946i −0.552699 0.833381i \(-0.686402\pi\)
−0.829548 + 0.558435i \(0.811402\pi\)
\(524\) −2.34557 2.15972i −0.102467 0.0943477i
\(525\) 2.90841 60.7710i 0.126933 2.65226i
\(526\) 12.6452 10.8214i 0.551356 0.471837i
\(527\) 1.93794 + 1.93794i 0.0844178 + 0.0844178i
\(528\) −5.80792 24.6954i −0.252757 1.07473i
\(529\) 9.95669 9.95669i 0.432900 0.432900i
\(530\) −0.706929 + 9.09626i −0.0307070 + 0.395116i
\(531\) 17.4303 9.37346i 0.756409 0.406773i
\(532\) −0.691595 + 1.88602i −0.0299844 + 0.0817692i
\(533\) 2.26868 11.4054i 0.0982675 0.494024i
\(534\) 10.6333 + 1.34026i 0.460147 + 0.0579986i
\(535\) −8.71611 + 3.61033i −0.376830 + 0.156088i
\(536\) −7.63427 20.5079i −0.329750 0.885805i
\(537\) 10.6400 1.59205i 0.459148 0.0687021i
\(538\) −5.05149 + 2.83547i −0.217785 + 0.122246i
\(539\) 0.752940 0.503098i 0.0324314 0.0216700i
\(540\) −42.8468 + 12.8076i −1.84383 + 0.551151i
\(541\) 5.30294 + 26.6597i 0.227991 + 1.14619i 0.909924 + 0.414774i \(0.136139\pi\)
−0.681933 + 0.731414i \(0.738861\pi\)
\(542\) 1.04540 + 3.20673i 0.0449039 + 0.137741i
\(543\) −20.1723 + 12.1256i −0.865678 + 0.520357i
\(544\) 0.0372604 + 7.60954i 0.00159753 + 0.326256i
\(545\) −73.8869 −3.16497
\(546\) 12.0299 + 10.4331i 0.514833 + 0.446496i
\(547\) 2.89843 0.576533i 0.123928 0.0246508i −0.132737 0.991151i \(-0.542376\pi\)
0.256664 + 0.966501i \(0.417376\pi\)
\(548\) 15.1460 24.8250i 0.647005 1.06047i
\(549\) −1.25891 12.4586i −0.0537289 0.531719i
\(550\) −61.0407 + 34.2630i −2.60278 + 1.46098i
\(551\) −0.382156 + 0.922607i −0.0162804 + 0.0393044i
\(552\) −4.05037 + 14.0589i −0.172395 + 0.598387i
\(553\) 3.25429 + 7.85655i 0.138386 + 0.334095i
\(554\) 2.83634 3.60514i 0.120505 0.153168i
\(555\) −36.1634 + 12.9911i −1.53505 + 0.551442i
\(556\) 4.23750 + 9.14470i 0.179710 + 0.387822i
\(557\) 9.09602 13.6132i 0.385411 0.576808i −0.587144 0.809483i \(-0.699748\pi\)
0.972555 + 0.232675i \(0.0747477\pi\)
\(558\) 7.29622 + 4.63459i 0.308874 + 0.196198i
\(559\) −17.0580 17.0580i −0.721475 0.721475i
\(560\) −44.4392 5.08329i −1.87790 0.214808i
\(561\) −8.27862 2.06256i −0.349524 0.0870812i
\(562\) −26.3109 + 22.5162i −1.10986 + 0.949790i
\(563\) 19.5452 29.2515i 0.823732 1.23280i −0.146159 0.989261i \(-0.546691\pi\)
0.969891 0.243541i \(-0.0783089\pi\)
\(564\) 15.0132 + 22.7928i 0.632170 + 0.959749i
\(565\) −10.6267 + 53.4239i −0.447068 + 2.24756i
\(566\) 3.62598 0.432764i 0.152411 0.0181904i
\(567\) 12.8947 19.5114i 0.541527 0.819402i
\(568\) 18.6934 + 4.42985i 0.784359 + 0.185872i
\(569\) 7.42318 17.9211i 0.311196 0.751293i −0.688465 0.725269i \(-0.741715\pi\)
0.999661 0.0260241i \(-0.00828468\pi\)
\(570\) −1.07617 3.92946i −0.0450757 0.164587i
\(571\) 25.4369 16.9964i 1.06450 0.711277i 0.105426 0.994427i \(-0.466379\pi\)
0.959076 + 0.283150i \(0.0913794\pi\)
\(572\) 2.83059 18.1010i 0.118353 0.756841i
\(573\) 15.7826 + 17.3692i 0.659329 + 0.725610i
\(574\) −15.2284 7.74050i −0.635622 0.323082i
\(575\) 40.3696 1.68353
\(576\) 5.34031 + 23.3983i 0.222513 + 0.974930i
\(577\) −13.6429 −0.567963 −0.283982 0.958830i \(-0.591655\pi\)
−0.283982 + 0.958830i \(0.591655\pi\)
\(578\) −19.1506 9.73410i −0.796560 0.404885i
\(579\) 24.0408 + 26.4575i 0.999100 + 1.09954i
\(580\) −21.9686 3.43539i −0.912198 0.142647i
\(581\) −4.22842 + 2.82534i −0.175424 + 0.117215i
\(582\) −1.20927 4.41546i −0.0501258 0.183027i
\(583\) −2.10083 + 5.07185i −0.0870074 + 0.210054i
\(584\) 40.3172 24.8696i 1.66834 1.02911i
\(585\) −32.1481 3.08418i −1.32916 0.127515i
\(586\) −24.0175 + 2.86651i −0.992154 + 0.118414i
\(587\) −4.83875 + 24.3260i −0.199717 + 1.00404i 0.742706 + 0.669618i \(0.233542\pi\)
−0.942422 + 0.334425i \(0.891458\pi\)
\(588\) −0.715426 + 0.471239i −0.0295037 + 0.0194336i
\(589\) −0.437499 + 0.654764i −0.0180268 + 0.0269791i
\(590\) −30.5021 + 26.1029i −1.25575 + 1.07464i
\(591\) 6.01569 + 1.49877i 0.247453 + 0.0616510i
\(592\) 5.67540 + 19.8258i 0.233257 + 0.814837i
\(593\) 9.31734 + 9.31734i 0.382617 + 0.382617i 0.872044 0.489427i \(-0.162794\pi\)
−0.489427 + 0.872044i \(0.662794\pi\)
\(594\) −26.8999 0.663937i −1.10372 0.0272417i
\(595\) −8.35712 + 12.5073i −0.342608 + 0.512750i
\(596\) −4.40597 + 2.04165i −0.180475 + 0.0836293i
\(597\) −23.8847 + 8.58019i −0.977535 + 0.351164i
\(598\) −6.53320 + 8.30404i −0.267162 + 0.339577i
\(599\) 0.450558 + 1.08774i 0.0184093 + 0.0444440i 0.932817 0.360351i \(-0.117343\pi\)
−0.914408 + 0.404795i \(0.867343\pi\)
\(600\) 57.9588 32.0324i 2.36616 1.30772i
\(601\) −9.25984 + 22.3552i −0.377717 + 0.911889i 0.614676 + 0.788780i \(0.289287\pi\)
−0.992393 + 0.123110i \(0.960713\pi\)
\(602\) −30.9020 + 17.3458i −1.25947 + 0.706960i
\(603\) −23.0926 + 2.33345i −0.940402 + 0.0950252i
\(604\) 2.17633 + 1.32780i 0.0885535 + 0.0540274i
\(605\) −10.1639 + 2.02172i −0.413221 + 0.0821948i
\(606\) −25.4203 22.0460i −1.03263 0.895559i
\(607\) 47.3452 1.92168 0.960840 0.277103i \(-0.0893743\pi\)
0.960840 + 0.277103i \(0.0893743\pi\)
\(608\) −2.14236 + 0.437058i −0.0868843 + 0.0177251i
\(609\) 9.96662 5.99092i 0.403868 0.242764i
\(610\) 7.87314 + 24.1505i 0.318774 + 0.977826i
\(611\) 3.84529 + 19.3316i 0.155564 + 0.782073i
\(612\) 7.81879 + 2.00284i 0.316056 + 0.0809599i
\(613\) 0.532520 0.355818i 0.0215083 0.0143714i −0.544770 0.838586i \(-0.683383\pi\)
0.566278 + 0.824214i \(0.308383\pi\)
\(614\) −10.1699 + 5.70850i −0.410423 + 0.230376i
\(615\) 34.2647 5.12701i 1.38169 0.206741i
\(616\) −24.4743 11.1957i −0.986096 0.451088i
\(617\) −15.4604 + 6.40389i −0.622411 + 0.257811i −0.671525 0.740982i \(-0.734360\pi\)
0.0491140 + 0.998793i \(0.484360\pi\)
\(618\) −35.3148 4.45120i −1.42057 0.179054i
\(619\) −8.36961 + 42.0769i −0.336403 + 1.69121i 0.328678 + 0.944442i \(0.393397\pi\)
−0.665081 + 0.746771i \(0.731603\pi\)
\(620\) −16.4623 6.03665i −0.661141 0.242438i
\(621\) 13.3406 + 7.92739i 0.535341 + 0.318115i
\(622\) 3.57998 46.0647i 0.143544 1.84703i
\(623\) 8.03966 8.03966i 0.322102 0.322102i
\(624\) −2.79067 + 17.1061i −0.111716 + 0.684791i
\(625\) −63.7341 63.7341i −2.54937 2.54937i
\(626\) −7.69494 + 6.58514i −0.307551 + 0.263195i
\(627\) 0.117187 2.44862i 0.00468001 0.0977886i
\(628\) 14.4771 15.7229i 0.577699 0.627412i
\(629\) 6.80201 + 1.35300i 0.271214 + 0.0539478i
\(630\) −17.1361 + 44.2393i −0.682719 + 1.76254i
\(631\) 8.07387 + 19.4920i 0.321416 + 0.775966i 0.999172 + 0.0406796i \(0.0129523\pi\)
−0.677757 + 0.735286i \(0.737048\pi\)
\(632\) −5.41851 + 7.50421i −0.215537 + 0.298501i
\(633\) −31.6775 + 4.73990i −1.25907 + 0.188394i
\(634\) 25.7243 + 7.22782i 1.02164 + 0.287053i
\(635\) 40.8487 + 61.1344i 1.62103 + 2.42604i
\(636\) 2.01904 4.78491i 0.0800601 0.189734i
\(637\) −0.606786 + 0.120697i −0.0240417 + 0.00478220i
\(638\) −11.9269 6.06234i −0.472189 0.240010i
\(639\) 9.55990 17.9947i 0.378184 0.711860i
\(640\) −20.6851 44.0722i −0.817649 1.74211i
\(641\) 37.3054i 1.47347i −0.676180 0.736736i \(-0.736366\pi\)
0.676180 0.736736i \(-0.263634\pi\)
\(642\) 5.35671 0.380790i 0.211413 0.0150286i
\(643\) −0.437593 2.19993i −0.0172570 0.0867567i 0.971197 0.238278i \(-0.0765829\pi\)
−0.988454 + 0.151521i \(0.951583\pi\)
\(644\) 9.14780 + 12.5391i 0.360474 + 0.494111i
\(645\) 30.6470 65.0103i 1.20672 2.55978i
\(646\) −0.198902 + 0.707907i −0.00782571 + 0.0278522i
\(647\) −13.8914 5.75400i −0.546126 0.226213i 0.0925234 0.995711i \(-0.470507\pi\)
−0.638650 + 0.769498i \(0.720507\pi\)
\(648\) 25.4434 + 0.795880i 0.999511 + 0.0312651i
\(649\) −22.3174 + 9.24415i −0.876033 + 0.362865i
\(650\) 47.4866 5.66757i 1.86258 0.222300i
\(651\) 8.62995 3.10017i 0.338235 0.121505i
\(652\) 11.7019 + 10.7747i 0.458283 + 0.421971i
\(653\) 20.8375 + 13.9232i 0.815433 + 0.544855i 0.891908 0.452216i \(-0.149367\pi\)
−0.0764751 + 0.997071i \(0.524367\pi\)
\(654\) 39.9003 + 13.2993i 1.56023 + 0.520043i
\(655\) 4.85090 4.85090i 0.189540 0.189540i
\(656\) −1.53144 18.5305i −0.0597926 0.723493i
\(657\) −14.7067 48.0435i −0.573764 1.87436i
\(658\) 28.8673 + 2.24346i 1.12537 + 0.0874593i
\(659\) 24.4240 + 16.3196i 0.951426 + 0.635722i 0.931369 0.364076i \(-0.118615\pi\)
0.0200567 + 0.999799i \(0.493615\pi\)
\(660\) 53.6044 10.2956i 2.08655 0.400757i
\(661\) 37.5355 + 7.46628i 1.45996 + 0.290405i 0.860275 0.509830i \(-0.170292\pi\)
0.599687 + 0.800235i \(0.295292\pi\)
\(662\) 17.4899 22.2306i 0.679765 0.864016i
\(663\) 4.68617 + 3.46631i 0.181996 + 0.134620i
\(664\) −5.03359 2.30261i −0.195341 0.0893586i
\(665\) −3.99316 1.65402i −0.154848 0.0641402i
\(666\) 21.8673 0.506212i 0.847339 0.0196153i
\(667\) 4.28675 + 6.41558i 0.165984 + 0.248412i
\(668\) −34.8621 + 8.44190i −1.34886 + 0.326627i
\(669\) 22.3961 + 24.6475i 0.865881 + 0.952927i
\(670\) 44.7641 14.5932i 1.72939 0.563785i
\(671\) 15.2841i 0.590035i
\(672\) 23.0830 + 10.7439i 0.890448 + 0.414456i
\(673\) 17.2901i 0.666486i 0.942841 + 0.333243i \(0.108143\pi\)
−0.942841 + 0.333243i \(0.891857\pi\)
\(674\) −2.38159 7.30544i −0.0917356 0.281395i
\(675\) −17.3251 68.0684i −0.666844 2.61995i
\(676\) 7.02237 11.5100i 0.270091 0.442692i
\(677\) −0.0350577 0.0524676i −0.00134738 0.00201649i 0.830795 0.556578i \(-0.187886\pi\)
−0.832143 + 0.554562i \(0.812886\pi\)
\(678\) 15.3547 26.9372i 0.589692 1.03452i
\(679\) −4.48704 1.85859i −0.172197 0.0713263i
\(680\) −16.3620 0.594727i −0.627455 0.0228067i
\(681\) −10.4134 + 14.0780i −0.399041 + 0.539470i
\(682\) −8.29175 6.52353i −0.317507 0.249799i
\(683\) −25.4364 5.05961i −0.973297 0.193601i −0.317267 0.948336i \(-0.602765\pi\)
−0.656029 + 0.754735i \(0.727765\pi\)
\(684\) −0.126134 + 2.31569i −0.00482284 + 0.0885426i
\(685\) 52.0248 + 34.7619i 1.98777 + 1.32818i
\(686\) −2.06365 + 26.5535i −0.0787904 + 1.01382i
\(687\) −29.2965 7.29900i −1.11773 0.278474i
\(688\) −33.7272 18.7150i −1.28584 0.713502i
\(689\) 2.65206 2.65206i 0.101036 0.101036i
\(690\) −29.8642 9.95411i −1.13691 0.378947i
\(691\) −31.0818 20.7682i −1.18241 0.790059i −0.200550 0.979683i \(-0.564273\pi\)
−0.981857 + 0.189624i \(0.939273\pi\)
\(692\) −26.0483 + 1.07454i −0.990209 + 0.0408480i
\(693\) −18.0535 + 22.1121i −0.685795 + 0.839970i
\(694\) 2.95171 + 24.7313i 0.112045 + 0.938789i
\(695\) −20.0347 + 8.29866i −0.759961 + 0.314786i
\(696\) 11.2451 + 5.80943i 0.426245 + 0.220206i
\(697\) −5.77708 2.39294i −0.218822 0.0906392i
\(698\) −1.21193 0.340520i −0.0458724 0.0128889i
\(699\) 12.5335 + 5.90853i 0.474062 + 0.223481i
\(700\) 10.8540 69.4091i 0.410243 2.62342i
\(701\) −6.43348 32.3433i −0.242989 1.22159i −0.888873 0.458154i \(-0.848511\pi\)
0.645884 0.763436i \(-0.276489\pi\)
\(702\) 16.8055 + 7.45203i 0.634282 + 0.281259i
\(703\) 1.99272i 0.0751570i
\(704\) −3.61399 29.0700i −0.136207 1.09562i
\(705\) −50.3305 + 30.2536i −1.89556 + 1.13942i
\(706\) 21.1962 41.7007i 0.797728 1.56943i
\(707\) −35.0108 + 6.96408i −1.31672 + 0.261911i
\(708\) 21.1701 8.60585i 0.795621 0.323428i
\(709\) 13.2204 + 19.7857i 0.496502 + 0.743067i 0.992095 0.125487i \(-0.0400494\pi\)
−0.495593 + 0.868555i \(0.665049\pi\)
\(710\) −11.1809 + 39.7936i −0.419612 + 1.49343i
\(711\) 6.24732 + 7.57321i 0.234293 + 0.284018i
\(712\) 12.0419 + 2.85361i 0.451289 + 0.106944i
\(713\) 2.32845 + 5.62136i 0.0872010 + 0.210522i
\(714\) 6.76426 5.24995i 0.253146 0.196474i
\(715\) 38.6619 + 7.69033i 1.44587 + 0.287602i
\(716\) 12.4122 0.512026i 0.463865 0.0191353i
\(717\) 20.3225 + 0.972604i 0.758958 + 0.0363226i
\(718\) 11.8031 + 13.7922i 0.440486 + 0.514722i
\(719\) −17.8047 17.8047i −0.664002 0.664002i 0.292319 0.956321i \(-0.405573\pi\)
−0.956321 + 0.292319i \(0.905573\pi\)
\(720\) −50.7745 + 9.40541i −1.89225 + 0.350519i
\(721\) −26.7010 + 26.7010i −0.994396 + 0.994396i
\(722\) 26.5786 + 2.06560i 0.989154 + 0.0768735i
\(723\) 0.352768 7.37108i 0.0131196 0.274133i
\(724\) −24.6585 + 11.4263i −0.916426 + 0.424656i
\(725\) 6.81332 34.2529i 0.253040 1.27212i
\(726\) 5.85260 + 0.737683i 0.217210 + 0.0273780i
\(727\) 22.6315 9.37426i 0.839355 0.347672i 0.0787556 0.996894i \(-0.474905\pi\)
0.760599 + 0.649222i \(0.224905\pi\)
\(728\) 12.5209 + 13.4655i 0.464056 + 0.499063i
\(729\) 7.64129 25.8962i 0.283011 0.959117i
\(730\) 49.8885 + 88.8780i 1.84645 + 3.28952i
\(731\) −10.7856 + 7.20670i −0.398919 + 0.266549i
\(732\) 0.0953349 14.4589i 0.00352368 0.534415i
\(733\) −9.77199 49.1271i −0.360937 1.81455i −0.553015 0.833171i \(-0.686523\pi\)
0.192078 0.981380i \(-0.438477\pi\)
\(734\) 1.23184 0.401583i 0.0454680 0.0148227i
\(735\) −0.949609 1.57979i −0.0350268 0.0582714i
\(736\) −6.38860 + 15.6396i −0.235487 + 0.576484i
\(737\) 28.3297 1.04354
\(738\) −19.4264 3.39880i −0.715097 0.125112i
\(739\) 28.8194 5.73254i 1.06014 0.210875i 0.365926 0.930644i \(-0.380752\pi\)
0.694214 + 0.719769i \(0.255752\pi\)
\(740\) −43.1242 + 10.4426i −1.58528 + 0.383877i
\(741\) −0.714159 + 1.51492i −0.0262353 + 0.0556520i
\(742\) −2.69681 4.80445i −0.0990029 0.176377i
\(743\) −15.3189 + 36.9832i −0.561997 + 1.35678i 0.346169 + 0.938172i \(0.387482\pi\)
−0.908166 + 0.418609i \(0.862518\pi\)
\(744\) 7.80338 + 6.22304i 0.286086 + 0.228148i
\(745\) −3.99834 9.65285i −0.146488 0.353653i
\(746\) −17.1852 13.5205i −0.629196 0.495020i
\(747\) −3.71304 + 4.54778i −0.135853 + 0.166394i
\(748\) −9.24929 3.39168i −0.338188 0.124012i
\(749\) 3.16515 4.73699i 0.115652 0.173086i
\(750\) 40.1518 + 80.2999i 1.46614 + 2.93214i
\(751\) −0.644925 0.644925i −0.0235337 0.0235337i 0.695242 0.718776i \(-0.255297\pi\)
−0.718776 + 0.695242i \(0.755297\pi\)
\(752\) 14.4175 + 28.0240i 0.525752 + 1.02193i
\(753\) −5.45000 + 21.8750i −0.198609 + 0.797170i
\(754\) 5.94318 + 6.94479i 0.216438 + 0.252914i
\(755\) −3.04746 + 4.56084i −0.110908 + 0.165986i
\(756\) 17.2167 20.8057i 0.626166 0.756695i
\(757\) 2.74459 13.7980i 0.0997538 0.501496i −0.898314 0.439355i \(-0.855207\pi\)
0.998067 0.0621412i \(-0.0197929\pi\)
\(758\) 0.563121 + 4.71820i 0.0204535 + 0.171373i
\(759\) −15.2280 11.2640i −0.552740 0.408857i
\(760\) −0.749584 4.64434i −0.0271903 0.168468i
\(761\) 0.456572 1.10226i 0.0165507 0.0399570i −0.915388 0.402572i \(-0.868116\pi\)
0.931939 + 0.362615i \(0.118116\pi\)
\(762\) −11.0552 40.3663i −0.400487 1.46232i
\(763\) 37.0990 24.7888i 1.34307 0.897413i
\(764\) 15.9715 + 21.8926i 0.577829 + 0.792047i
\(765\) −4.99901 + 16.6309i −0.180740 + 0.601293i
\(766\) −14.9720 + 29.4555i −0.540960 + 1.06427i
\(767\) 16.5035 0.595906
\(768\) 3.23754 + 27.5231i 0.116825 + 0.993153i
\(769\) 17.8345 0.643128 0.321564 0.946888i \(-0.395792\pi\)
0.321564 + 0.946888i \(0.395792\pi\)
\(770\) 26.2386 51.6210i 0.945573 1.86029i
\(771\) −35.7071 + 32.4454i −1.28596 + 1.16849i
\(772\) 24.3285 + 33.3477i 0.875601 + 1.20021i
\(773\) −30.0410 + 20.0728i −1.08050 + 0.721968i −0.962564 0.271053i \(-0.912628\pi\)