Properties

Label 240.2.bl.a.229.5
Level $240$
Weight $2$
Character 240.229
Analytic conductor $1.916$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.bl (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 229.5
Character \(\chi\) \(=\) 240.229
Dual form 240.2.bl.a.109.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.20386 - 0.742113i) q^{2} +(-0.707107 - 0.707107i) q^{3} +(0.898535 + 1.78679i) q^{4} +(-2.06370 + 0.860885i) q^{5} +(0.326501 + 1.37601i) q^{6} +0.707398 q^{7} +(0.244298 - 2.81786i) q^{8} +1.00000i q^{9} +O(q^{10})\) \(q+(-1.20386 - 0.742113i) q^{2} +(-0.707107 - 0.707107i) q^{3} +(0.898535 + 1.78679i) q^{4} +(-2.06370 + 0.860885i) q^{5} +(0.326501 + 1.37601i) q^{6} +0.707398 q^{7} +(0.244298 - 2.81786i) q^{8} +1.00000i q^{9} +(3.12328 + 0.495122i) q^{10} +(1.79993 + 1.79993i) q^{11} +(0.628094 - 1.89881i) q^{12} +(3.86348 + 3.86348i) q^{13} +(-0.851604 - 0.524969i) q^{14} +(2.06800 + 0.850522i) q^{15} +(-2.38527 + 3.21100i) q^{16} +0.244884i q^{17} +(0.742113 - 1.20386i) q^{18} +(1.53863 - 1.53863i) q^{19} +(-3.39254 - 2.91388i) q^{20} +(-0.500206 - 0.500206i) q^{21} +(-0.831102 - 3.50260i) q^{22} +6.92280 q^{23} +(-2.16527 + 1.81978i) q^{24} +(3.51775 - 3.55323i) q^{25} +(-1.78393 - 7.51820i) q^{26} +(0.707107 - 0.707107i) q^{27} +(0.635622 + 1.26397i) q^{28} +(-4.89882 + 4.89882i) q^{29} +(-1.85839 - 2.55859i) q^{30} +7.60734 q^{31} +(5.25444 - 2.09543i) q^{32} -2.54548i q^{33} +(0.181732 - 0.294805i) q^{34} +(-1.45986 + 0.608988i) q^{35} +(-1.78679 + 0.898535i) q^{36} +(-8.47863 + 8.47863i) q^{37} +(-2.99413 + 0.710450i) q^{38} -5.46378i q^{39} +(1.92169 + 6.02554i) q^{40} -2.12118i q^{41} +(0.230966 + 0.973384i) q^{42} +(-0.684507 + 0.684507i) q^{43} +(-1.59880 + 4.83340i) q^{44} +(-0.860885 - 2.06370i) q^{45} +(-8.33405 - 5.13750i) q^{46} +4.47342i q^{47} +(3.95716 - 0.583877i) q^{48} -6.49959 q^{49} +(-6.87176 + 1.66700i) q^{50} +(0.173159 - 0.173159i) q^{51} +(-3.43177 + 10.3747i) q^{52} +(1.47026 - 1.47026i) q^{53} +(-1.37601 + 0.326501i) q^{54} +(-5.26405 - 2.16499i) q^{55} +(0.172815 - 1.99335i) q^{56} -2.17595 q^{57} +(9.53295 - 2.26199i) q^{58} +(5.86121 + 5.86121i) q^{59} +(0.338461 + 4.45931i) q^{60} +(0.0537432 - 0.0537432i) q^{61} +(-9.15813 - 5.64551i) q^{62} +0.707398i q^{63} +(-7.88064 - 1.37679i) q^{64} +(-11.2991 - 4.64706i) q^{65} +(-1.88904 + 3.06439i) q^{66} +(-7.85550 - 7.85550i) q^{67} +(-0.437558 + 0.220037i) q^{68} +(-4.89516 - 4.89516i) q^{69} +(2.20940 + 0.350248i) q^{70} +2.08595i q^{71} +(2.81786 + 0.244298i) q^{72} +9.69951 q^{73} +(16.4992 - 3.91494i) q^{74} +(-4.99994 + 0.0250827i) q^{75} +(4.13173 + 1.36670i) q^{76} +(1.27326 + 1.27326i) q^{77} +(-4.05475 + 6.57760i) q^{78} -7.34690 q^{79} +(2.15819 - 8.67999i) q^{80} -1.00000 q^{81} +(-1.57415 + 2.55359i) q^{82} +(-6.80291 - 6.80291i) q^{83} +(0.444312 - 1.34322i) q^{84} +(-0.210817 - 0.505369i) q^{85} +(1.33203 - 0.316066i) q^{86} +6.92797 q^{87} +(5.51166 - 4.63222i) q^{88} +3.07483i q^{89} +(-0.495122 + 3.12328i) q^{90} +(2.73301 + 2.73301i) q^{91} +(6.22038 + 12.3696i) q^{92} +(-5.37920 - 5.37920i) q^{93} +(3.31978 - 5.38535i) q^{94} +(-1.85069 + 4.49986i) q^{95} +(-5.19715 - 2.23375i) q^{96} +1.39922i q^{97} +(7.82456 + 4.82343i) q^{98} +(-1.79993 + 1.79993i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(1\) \(-1\) \(1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20386 0.742113i −0.851254 0.524753i
\(3\) −0.707107 0.707107i −0.408248 0.408248i
\(4\) 0.898535 + 1.78679i 0.449268 + 0.893397i
\(5\) −2.06370 + 0.860885i −0.922917 + 0.385000i
\(6\) 0.326501 + 1.37601i 0.133293 + 0.561753i
\(7\) 0.707398 0.267371 0.133686 0.991024i \(-0.457319\pi\)
0.133686 + 0.991024i \(0.457319\pi\)
\(8\) 0.244298 2.81786i 0.0863722 0.996263i
\(9\) 1.00000i 0.333333i
\(10\) 3.12328 + 0.495122i 0.987667 + 0.156571i
\(11\) 1.79993 + 1.79993i 0.542699 + 0.542699i 0.924319 0.381621i \(-0.124634\pi\)
−0.381621 + 0.924319i \(0.624634\pi\)
\(12\) 0.628094 1.89881i 0.181315 0.548141i
\(13\) 3.86348 + 3.86348i 1.07154 + 1.07154i 0.997236 + 0.0742996i \(0.0236721\pi\)
0.0742996 + 0.997236i \(0.476328\pi\)
\(14\) −0.851604 0.524969i −0.227601 0.140304i
\(15\) 2.06800 + 0.850522i 0.533955 + 0.219604i
\(16\) −2.38527 + 3.21100i −0.596317 + 0.802749i
\(17\) 0.244884i 0.0593932i 0.999559 + 0.0296966i \(0.00945410\pi\)
−0.999559 + 0.0296966i \(0.990546\pi\)
\(18\) 0.742113 1.20386i 0.174918 0.283751i
\(19\) 1.53863 1.53863i 0.352986 0.352986i −0.508233 0.861219i \(-0.669701\pi\)
0.861219 + 0.508233i \(0.169701\pi\)
\(20\) −3.39254 2.91388i −0.758594 0.651563i
\(21\) −0.500206 0.500206i −0.109154 0.109154i
\(22\) −0.831102 3.50260i −0.177192 0.746757i
\(23\) 6.92280 1.44350 0.721752 0.692152i \(-0.243337\pi\)
0.721752 + 0.692152i \(0.243337\pi\)
\(24\) −2.16527 + 1.81978i −0.441984 + 0.371461i
\(25\) 3.51775 3.55323i 0.703551 0.710645i
\(26\) −1.78393 7.51820i −0.349857 1.47444i
\(27\) 0.707107 0.707107i 0.136083 0.136083i
\(28\) 0.635622 + 1.26397i 0.120121 + 0.238869i
\(29\) −4.89882 + 4.89882i −0.909688 + 0.909688i −0.996247 0.0865591i \(-0.972413\pi\)
0.0865591 + 0.996247i \(0.472413\pi\)
\(30\) −1.85839 2.55859i −0.339293 0.467133i
\(31\) 7.60734 1.36632 0.683159 0.730270i \(-0.260606\pi\)
0.683159 + 0.730270i \(0.260606\pi\)
\(32\) 5.25444 2.09543i 0.928863 0.370424i
\(33\) 2.54548i 0.443112i
\(34\) 0.181732 0.294805i 0.0311668 0.0505587i
\(35\) −1.45986 + 0.608988i −0.246761 + 0.102938i
\(36\) −1.78679 + 0.898535i −0.297799 + 0.149756i
\(37\) −8.47863 + 8.47863i −1.39388 + 1.39388i −0.577459 + 0.816420i \(0.695956\pi\)
−0.816420 + 0.577459i \(0.804044\pi\)
\(38\) −2.99413 + 0.710450i −0.485712 + 0.115250i
\(39\) 5.46378i 0.874905i
\(40\) 1.92169 + 6.02554i 0.303846 + 0.952721i
\(41\) 2.12118i 0.331272i −0.986187 0.165636i \(-0.947032\pi\)
0.986187 0.165636i \(-0.0529677\pi\)
\(42\) 0.230966 + 0.973384i 0.0356388 + 0.150196i
\(43\) −0.684507 + 0.684507i −0.104386 + 0.104386i −0.757371 0.652985i \(-0.773517\pi\)
0.652985 + 0.757371i \(0.273517\pi\)
\(44\) −1.59880 + 4.83340i −0.241028 + 0.728662i
\(45\) −0.860885 2.06370i −0.128333 0.307639i
\(46\) −8.33405 5.13750i −1.22879 0.757484i
\(47\) 4.47342i 0.652515i 0.945281 + 0.326258i \(0.105788\pi\)
−0.945281 + 0.326258i \(0.894212\pi\)
\(48\) 3.95716 0.583877i 0.571166 0.0842754i
\(49\) −6.49959 −0.928513
\(50\) −6.87176 + 1.66700i −0.971814 + 0.235749i
\(51\) 0.173159 0.173159i 0.0242472 0.0242472i
\(52\) −3.43177 + 10.3747i −0.475901 + 1.43871i
\(53\) 1.47026 1.47026i 0.201956 0.201956i −0.598881 0.800838i \(-0.704388\pi\)
0.800838 + 0.598881i \(0.204388\pi\)
\(54\) −1.37601 + 0.326501i −0.187251 + 0.0444311i
\(55\) −5.26405 2.16499i −0.709804 0.291927i
\(56\) 0.172815 1.99335i 0.0230934 0.266372i
\(57\) −2.17595 −0.288212
\(58\) 9.53295 2.26199i 1.25174 0.297014i
\(59\) 5.86121 + 5.86121i 0.763065 + 0.763065i 0.976875 0.213810i \(-0.0685874\pi\)
−0.213810 + 0.976875i \(0.568587\pi\)
\(60\) 0.338461 + 4.45931i 0.0436952 + 0.575694i
\(61\) 0.0537432 0.0537432i 0.00688112 0.00688112i −0.703658 0.710539i \(-0.748451\pi\)
0.710539 + 0.703658i \(0.248451\pi\)
\(62\) −9.15813 5.64551i −1.16308 0.716980i
\(63\) 0.707398i 0.0891237i
\(64\) −7.88064 1.37679i −0.985080 0.172099i
\(65\) −11.2991 4.64706i −1.40148 0.576397i
\(66\) −1.88904 + 3.06439i −0.232524 + 0.377201i
\(67\) −7.85550 7.85550i −0.959702 0.959702i 0.0395170 0.999219i \(-0.487418\pi\)
−0.999219 + 0.0395170i \(0.987418\pi\)
\(68\) −0.437558 + 0.220037i −0.0530617 + 0.0266834i
\(69\) −4.89516 4.89516i −0.589308 0.589308i
\(70\) 2.20940 + 0.350248i 0.264074 + 0.0418626i
\(71\) 2.08595i 0.247557i 0.992310 + 0.123778i \(0.0395012\pi\)
−0.992310 + 0.123778i \(0.960499\pi\)
\(72\) 2.81786 + 0.244298i 0.332088 + 0.0287907i
\(73\) 9.69951 1.13524 0.567621 0.823290i \(-0.307864\pi\)
0.567621 + 0.823290i \(0.307864\pi\)
\(74\) 16.4992 3.91494i 1.91799 0.455103i
\(75\) −4.99994 + 0.0250827i −0.577343 + 0.00289630i
\(76\) 4.13173 + 1.36670i 0.473942 + 0.156772i
\(77\) 1.27326 + 1.27326i 0.145102 + 0.145102i
\(78\) −4.05475 + 6.57760i −0.459109 + 0.744767i
\(79\) −7.34690 −0.826591 −0.413295 0.910597i \(-0.635622\pi\)
−0.413295 + 0.910597i \(0.635622\pi\)
\(80\) 2.15819 8.67999i 0.241293 0.970452i
\(81\) −1.00000 −0.111111
\(82\) −1.57415 + 2.55359i −0.173836 + 0.281997i
\(83\) −6.80291 6.80291i −0.746716 0.746716i 0.227145 0.973861i \(-0.427061\pi\)
−0.973861 + 0.227145i \(0.927061\pi\)
\(84\) 0.444312 1.34322i 0.0484784 0.146557i
\(85\) −0.210817 0.505369i −0.0228663 0.0548149i
\(86\) 1.33203 0.316066i 0.143636 0.0340822i
\(87\) 6.92797 0.742757
\(88\) 5.51166 4.63222i 0.587545 0.493796i
\(89\) 3.07483i 0.325931i 0.986632 + 0.162966i \(0.0521060\pi\)
−0.986632 + 0.162966i \(0.947894\pi\)
\(90\) −0.495122 + 3.12328i −0.0521904 + 0.329222i
\(91\) 2.73301 + 2.73301i 0.286498 + 0.286498i
\(92\) 6.22038 + 12.3696i 0.648520 + 1.28962i
\(93\) −5.37920 5.37920i −0.557797 0.557797i
\(94\) 3.31978 5.38535i 0.342410 0.555456i
\(95\) −1.85069 + 4.49986i −0.189877 + 0.461676i
\(96\) −5.19715 2.23375i −0.530432 0.227982i
\(97\) 1.39922i 0.142070i 0.997474 + 0.0710348i \(0.0226301\pi\)
−0.997474 + 0.0710348i \(0.977370\pi\)
\(98\) 7.82456 + 4.82343i 0.790400 + 0.487240i
\(99\) −1.79993 + 1.79993i −0.180900 + 0.180900i
\(100\) 9.50971 + 3.09280i 0.950971 + 0.309280i
\(101\) 11.7916 + 11.7916i 1.17331 + 1.17331i 0.981415 + 0.191895i \(0.0614633\pi\)
0.191895 + 0.981415i \(0.438537\pi\)
\(102\) −0.336963 + 0.0799549i −0.0333643 + 0.00791672i
\(103\) 2.29240 0.225877 0.112938 0.993602i \(-0.463974\pi\)
0.112938 + 0.993602i \(0.463974\pi\)
\(104\) 11.8306 9.94289i 1.16008 0.974980i
\(105\) 1.46290 + 0.601657i 0.142764 + 0.0587157i
\(106\) −2.86109 + 0.678882i −0.277893 + 0.0659389i
\(107\) 9.49009 9.49009i 0.917442 0.917442i −0.0794010 0.996843i \(-0.525301\pi\)
0.996843 + 0.0794010i \(0.0253008\pi\)
\(108\) 1.89881 + 0.628094i 0.182714 + 0.0604384i
\(109\) 11.9058 11.9058i 1.14037 1.14037i 0.151984 0.988383i \(-0.451434\pi\)
0.988383 0.151984i \(-0.0485662\pi\)
\(110\) 4.73049 + 6.51285i 0.451034 + 0.620976i
\(111\) 11.9906 1.13810
\(112\) −1.68733 + 2.27145i −0.159438 + 0.214632i
\(113\) 7.92806i 0.745809i −0.927870 0.372904i \(-0.878362\pi\)
0.927870 0.372904i \(-0.121638\pi\)
\(114\) 2.61953 + 1.61480i 0.245342 + 0.151240i
\(115\) −14.2866 + 5.95974i −1.33223 + 0.555748i
\(116\) −13.1549 4.35142i −1.22141 0.404019i
\(117\) −3.86348 + 3.86348i −0.357179 + 0.357179i
\(118\) −2.70637 11.4057i −0.249141 1.04998i
\(119\) 0.173231i 0.0158800i
\(120\) 2.90186 5.61954i 0.264902 0.512992i
\(121\) 4.52052i 0.410956i
\(122\) −0.104583 + 0.0248155i −0.00946847 + 0.00224669i
\(123\) −1.49990 + 1.49990i −0.135241 + 0.135241i
\(124\) 6.83546 + 13.5927i 0.613843 + 1.22066i
\(125\) −4.20068 + 10.3612i −0.375721 + 0.926733i
\(126\) 0.524969 0.851604i 0.0467680 0.0758669i
\(127\) 19.4466i 1.72561i −0.505536 0.862806i \(-0.668705\pi\)
0.505536 0.862806i \(-0.331295\pi\)
\(128\) 8.46541 + 7.50578i 0.748244 + 0.663424i
\(129\) 0.968040 0.0852311
\(130\) 10.1538 + 13.9796i 0.890548 + 1.22609i
\(131\) −0.354049 + 0.354049i −0.0309334 + 0.0309334i −0.722404 0.691471i \(-0.756963\pi\)
0.691471 + 0.722404i \(0.256963\pi\)
\(132\) 4.54825 2.28721i 0.395875 0.199076i
\(133\) 1.08842 1.08842i 0.0943783 0.0943783i
\(134\) 3.62721 + 15.2866i 0.313343 + 1.32056i
\(135\) −0.850522 + 2.06800i −0.0732013 + 0.177985i
\(136\) 0.690049 + 0.0598246i 0.0591712 + 0.00512992i
\(137\) −7.30033 −0.623709 −0.311854 0.950130i \(-0.600950\pi\)
−0.311854 + 0.950130i \(0.600950\pi\)
\(138\) 2.26030 + 9.52583i 0.192410 + 0.810892i
\(139\) −8.85519 8.85519i −0.751087 0.751087i 0.223595 0.974682i \(-0.428221\pi\)
−0.974682 + 0.223595i \(0.928221\pi\)
\(140\) −2.39987 2.06127i −0.202826 0.174209i
\(141\) 3.16319 3.16319i 0.266388 0.266388i
\(142\) 1.54801 2.51118i 0.129906 0.210734i
\(143\) 13.9080i 1.16304i
\(144\) −3.21100 2.38527i −0.267583 0.198772i
\(145\) 5.89239 14.3270i 0.489337 1.18980i
\(146\) −11.6768 7.19814i −0.966379 0.595722i
\(147\) 4.59590 + 4.59590i 0.379064 + 0.379064i
\(148\) −22.7679 7.53122i −1.87151 0.619063i
\(149\) 5.41385 + 5.41385i 0.443520 + 0.443520i 0.893193 0.449673i \(-0.148460\pi\)
−0.449673 + 0.893193i \(0.648460\pi\)
\(150\) 6.03782 + 3.68032i 0.492986 + 0.300497i
\(151\) 0.341548i 0.0277948i 0.999903 + 0.0138974i \(0.00442382\pi\)
−0.999903 + 0.0138974i \(0.995576\pi\)
\(152\) −3.95976 4.71153i −0.321179 0.382155i
\(153\) −0.244884 −0.0197977
\(154\) −0.587920 2.47773i −0.0473759 0.199661i
\(155\) −15.6993 + 6.54904i −1.26100 + 0.526032i
\(156\) 9.76265 4.90940i 0.781638 0.393067i
\(157\) −2.86465 2.86465i −0.228624 0.228624i 0.583494 0.812118i \(-0.301685\pi\)
−0.812118 + 0.583494i \(0.801685\pi\)
\(158\) 8.84460 + 5.45223i 0.703639 + 0.433756i
\(159\) −2.07927 −0.164897
\(160\) −9.03969 + 8.84783i −0.714650 + 0.699482i
\(161\) 4.89717 0.385951
\(162\) 1.20386 + 0.742113i 0.0945838 + 0.0583059i
\(163\) −5.94216 5.94216i −0.465426 0.465426i 0.435003 0.900429i \(-0.356747\pi\)
−0.900429 + 0.435003i \(0.856747\pi\)
\(164\) 3.79011 1.90595i 0.295958 0.148830i
\(165\) 2.19137 + 5.25312i 0.170598 + 0.408955i
\(166\) 3.14119 + 13.2382i 0.243803 + 1.02749i
\(167\) 14.4595 1.11891 0.559454 0.828861i \(-0.311011\pi\)
0.559454 + 0.828861i \(0.311011\pi\)
\(168\) −1.53171 + 1.28731i −0.118174 + 0.0993180i
\(169\) 16.8529i 1.29638i
\(170\) −0.121247 + 0.764841i −0.00929926 + 0.0586606i
\(171\) 1.53863 + 1.53863i 0.117662 + 0.117662i
\(172\) −1.83813 0.608020i −0.140156 0.0463611i
\(173\) −6.65096 6.65096i −0.505663 0.505663i 0.407529 0.913192i \(-0.366390\pi\)
−0.913192 + 0.407529i \(0.866390\pi\)
\(174\) −8.34028 5.14134i −0.632275 0.389764i
\(175\) 2.48845 2.51354i 0.188109 0.190006i
\(176\) −10.0729 + 1.48625i −0.759271 + 0.112030i
\(177\) 8.28901i 0.623040i
\(178\) 2.28187 3.70165i 0.171033 0.277450i
\(179\) 17.2660 17.2660i 1.29052 1.29052i 0.356052 0.934466i \(-0.384123\pi\)
0.934466 0.356052i \(-0.115877\pi\)
\(180\) 2.91388 3.39254i 0.217188 0.252865i
\(181\) 5.12242 + 5.12242i 0.380746 + 0.380746i 0.871371 0.490625i \(-0.163231\pi\)
−0.490625 + 0.871371i \(0.663231\pi\)
\(182\) −1.26195 5.31836i −0.0935417 0.394223i
\(183\) −0.0760044 −0.00561841
\(184\) 1.69122 19.5075i 0.124679 1.43811i
\(185\) 10.1983 24.7965i 0.749791 1.82308i
\(186\) 2.48380 + 10.4678i 0.182121 + 0.767533i
\(187\) −0.440774 + 0.440774i −0.0322326 + 0.0322326i
\(188\) −7.99308 + 4.01953i −0.582955 + 0.293154i
\(189\) 0.500206 0.500206i 0.0363846 0.0363846i
\(190\) 5.56738 4.04376i 0.403900 0.293365i
\(191\) −17.8040 −1.28825 −0.644124 0.764921i \(-0.722778\pi\)
−0.644124 + 0.764921i \(0.722778\pi\)
\(192\) 4.59891 + 6.54599i 0.331898 + 0.472416i
\(193\) 17.2222i 1.23968i 0.784727 + 0.619842i \(0.212803\pi\)
−0.784727 + 0.619842i \(0.787197\pi\)
\(194\) 1.03838 1.68446i 0.0745515 0.120937i
\(195\) 4.70369 + 11.2756i 0.336838 + 0.807465i
\(196\) −5.84011 11.6134i −0.417151 0.829531i
\(197\) −10.0764 + 10.0764i −0.717915 + 0.717915i −0.968178 0.250263i \(-0.919483\pi\)
0.250263 + 0.968178i \(0.419483\pi\)
\(198\) 3.50260 0.831102i 0.248919 0.0590638i
\(199\) 5.74179i 0.407025i 0.979072 + 0.203513i \(0.0652358\pi\)
−0.979072 + 0.203513i \(0.934764\pi\)
\(200\) −9.15310 10.7806i −0.647222 0.762301i
\(201\) 11.1094i 0.783593i
\(202\) −5.44469 22.9461i −0.383087 1.61448i
\(203\) −3.46541 + 3.46541i −0.243224 + 0.243224i
\(204\) 0.464990 + 0.153810i 0.0325558 + 0.0107689i
\(205\) 1.82609 + 4.37748i 0.127540 + 0.305737i
\(206\) −2.75972 1.70122i −0.192279 0.118530i
\(207\) 6.92280i 0.481168i
\(208\) −21.6210 + 3.19018i −1.49915 + 0.221199i
\(209\) 5.53885 0.383130
\(210\) −1.31462 1.80994i −0.0907172 0.124898i
\(211\) −9.73318 + 9.73318i −0.670060 + 0.670060i −0.957730 0.287670i \(-0.907119\pi\)
0.287670 + 0.957730i \(0.407119\pi\)
\(212\) 3.94814 + 1.30598i 0.271160 + 0.0896947i
\(213\) 1.47499 1.47499i 0.101065 0.101065i
\(214\) −18.4674 + 4.38197i −1.26241 + 0.299545i
\(215\) 0.823339 2.00190i 0.0561512 0.136529i
\(216\) −1.81978 2.16527i −0.123820 0.147328i
\(217\) 5.38141 0.365314
\(218\) −23.1683 + 5.49740i −1.56915 + 0.372331i
\(219\) −6.85859 6.85859i −0.463460 0.463460i
\(220\) −0.861547 11.3511i −0.0580855 0.765291i
\(221\) −0.946104 + 0.946104i −0.0636419 + 0.0636419i
\(222\) −14.4349 8.89838i −0.968810 0.597220i
\(223\) 22.1037i 1.48017i 0.672511 + 0.740087i \(0.265216\pi\)
−0.672511 + 0.740087i \(0.734784\pi\)
\(224\) 3.71698 1.48231i 0.248351 0.0990407i
\(225\) 3.55323 + 3.51775i 0.236882 + 0.234517i
\(226\) −5.88352 + 9.54423i −0.391366 + 0.634873i
\(227\) 5.35387 + 5.35387i 0.355349 + 0.355349i 0.862095 0.506746i \(-0.169152\pi\)
−0.506746 + 0.862095i \(0.669152\pi\)
\(228\) −1.95517 3.88798i −0.129484 0.257488i
\(229\) −18.3018 18.3018i −1.20942 1.20942i −0.971215 0.238204i \(-0.923441\pi\)
−0.238204 0.971215i \(-0.576559\pi\)
\(230\) 21.6218 + 3.42763i 1.42570 + 0.226011i
\(231\) 1.80067i 0.118475i
\(232\) 12.6074 + 15.0009i 0.827716 + 0.984860i
\(233\) −12.0546 −0.789721 −0.394861 0.918741i \(-0.629207\pi\)
−0.394861 + 0.918741i \(0.629207\pi\)
\(234\) 7.51820 1.78393i 0.491480 0.116619i
\(235\) −3.85110 9.23182i −0.251218 0.602217i
\(236\) −5.20628 + 15.7393i −0.338900 + 1.02454i
\(237\) 5.19504 + 5.19504i 0.337454 + 0.337454i
\(238\) 0.128557 0.208544i 0.00833309 0.0135179i
\(239\) −27.9193 −1.80595 −0.902974 0.429695i \(-0.858621\pi\)
−0.902974 + 0.429695i \(0.858621\pi\)
\(240\) −7.66375 + 4.61161i −0.494693 + 0.297678i
\(241\) 13.7118 0.883253 0.441626 0.897199i \(-0.354402\pi\)
0.441626 + 0.897199i \(0.354402\pi\)
\(242\) −3.35474 + 5.44205i −0.215651 + 0.349828i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) 0.144318 + 0.0477379i 0.00923903 + 0.00305611i
\(245\) 13.4132 5.59540i 0.856940 0.357477i
\(246\) 2.91876 0.692566i 0.186093 0.0441564i
\(247\) 11.8889 0.756474
\(248\) 1.85845 21.4364i 0.118012 1.36121i
\(249\) 9.62077i 0.609691i
\(250\) 12.7462 9.35599i 0.806140 0.591725i
\(251\) −9.07173 9.07173i −0.572602 0.572602i 0.360252 0.932855i \(-0.382691\pi\)
−0.932855 + 0.360252i \(0.882691\pi\)
\(252\) −1.26397 + 0.635622i −0.0796229 + 0.0400404i
\(253\) 12.4605 + 12.4605i 0.783388 + 0.783388i
\(254\) −14.4316 + 23.4110i −0.905520 + 1.46893i
\(255\) −0.208279 + 0.506420i −0.0130430 + 0.0317132i
\(256\) −4.62099 15.3182i −0.288812 0.957386i
\(257\) 9.23416i 0.576011i 0.957629 + 0.288006i \(0.0929922\pi\)
−0.957629 + 0.288006i \(0.907008\pi\)
\(258\) −1.16538 0.718395i −0.0725534 0.0447253i
\(259\) −5.99776 + 5.99776i −0.372683 + 0.372683i
\(260\) −1.84928 24.3647i −0.114687 1.51103i
\(261\) −4.89882 4.89882i −0.303229 0.303229i
\(262\) 0.688969 0.163479i 0.0425646 0.0100998i
\(263\) −18.5516 −1.14394 −0.571971 0.820274i \(-0.693821\pi\)
−0.571971 + 0.820274i \(0.693821\pi\)
\(264\) −7.17280 0.621855i −0.441456 0.0382725i
\(265\) −1.76846 + 4.29992i −0.108636 + 0.264142i
\(266\) −2.11804 + 0.502571i −0.129865 + 0.0308146i
\(267\) 2.17423 2.17423i 0.133061 0.133061i
\(268\) 6.97772 21.0946i 0.426232 1.28856i
\(269\) 14.3977 14.3977i 0.877844 0.877844i −0.115467 0.993311i \(-0.536837\pi\)
0.993311 + 0.115467i \(0.0368366\pi\)
\(270\) 2.55859 1.85839i 0.155711 0.113098i
\(271\) 19.2974 1.17224 0.586118 0.810226i \(-0.300656\pi\)
0.586118 + 0.810226i \(0.300656\pi\)
\(272\) −0.786322 0.584115i −0.0476778 0.0354172i
\(273\) 3.86507i 0.233924i
\(274\) 8.78854 + 5.41767i 0.530935 + 0.327293i
\(275\) 12.7272 0.0638476i 0.767482 0.00385016i
\(276\) 4.34817 13.1451i 0.261729 0.791243i
\(277\) 3.52269 3.52269i 0.211658 0.211658i −0.593314 0.804971i \(-0.702181\pi\)
0.804971 + 0.593314i \(0.202181\pi\)
\(278\) 4.08881 + 17.2319i 0.245231 + 1.03350i
\(279\) 7.60734i 0.455439i
\(280\) 1.35940 + 4.26245i 0.0812398 + 0.254730i
\(281\) 29.2076i 1.74238i −0.490945 0.871191i \(-0.663348\pi\)
0.490945 0.871191i \(-0.336652\pi\)
\(282\) −6.15546 + 1.46058i −0.366552 + 0.0869760i
\(283\) −9.84279 + 9.84279i −0.585093 + 0.585093i −0.936298 0.351205i \(-0.885772\pi\)
0.351205 + 0.936298i \(0.385772\pi\)
\(284\) −3.72717 + 1.87430i −0.221167 + 0.111219i
\(285\) 4.49052 1.87325i 0.265996 0.110961i
\(286\) 10.3213 16.7432i 0.610310 0.990044i
\(287\) 1.50052i 0.0885726i
\(288\) 2.09543 + 5.25444i 0.123475 + 0.309621i
\(289\) 16.9400 0.996472
\(290\) −17.7259 + 12.8749i −1.04090 + 0.756037i
\(291\) 0.989400 0.989400i 0.0579997 0.0579997i
\(292\) 8.71535 + 17.3310i 0.510027 + 1.01422i
\(293\) 11.8238 11.8238i 0.690755 0.690755i −0.271643 0.962398i \(-0.587567\pi\)
0.962398 + 0.271643i \(0.0875671\pi\)
\(294\) −2.12212 8.94348i −0.123765 0.521595i
\(295\) −17.1416 7.04998i −0.998025 0.410466i
\(296\) 21.8203 + 25.9629i 1.26828 + 1.50906i
\(297\) 2.54548 0.147704
\(298\) −2.49980 10.5352i −0.144810 0.610287i
\(299\) 26.7461 + 26.7461i 1.54677 + 1.54677i
\(300\) −4.53744 8.91132i −0.261969 0.514495i
\(301\) −0.484219 + 0.484219i −0.0279099 + 0.0279099i
\(302\) 0.253468 0.411175i 0.0145854 0.0236604i
\(303\) 16.6759i 0.958004i
\(304\) 1.27049 + 8.61058i 0.0728676 + 0.493851i
\(305\) −0.0646434 + 0.157177i −0.00370147 + 0.00899992i
\(306\) 0.294805 + 0.181732i 0.0168529 + 0.0103889i
\(307\) 16.6232 + 16.6232i 0.948733 + 0.948733i 0.998748 0.0500151i \(-0.0159269\pi\)
−0.0500151 + 0.998748i \(0.515927\pi\)
\(308\) −1.13099 + 3.41913i −0.0644441 + 0.194823i
\(309\) −1.62097 1.62097i −0.0922139 0.0922139i
\(310\) 23.7598 + 3.76656i 1.34947 + 0.213926i
\(311\) 13.8069i 0.782920i −0.920195 0.391460i \(-0.871970\pi\)
0.920195 0.391460i \(-0.128030\pi\)
\(312\) −15.3962 1.33479i −0.871636 0.0755675i
\(313\) −7.40380 −0.418488 −0.209244 0.977864i \(-0.567100\pi\)
−0.209244 + 0.977864i \(0.567100\pi\)
\(314\) 1.32273 + 5.57452i 0.0746459 + 0.314588i
\(315\) −0.608988 1.45986i −0.0343126 0.0822538i
\(316\) −6.60145 13.1274i −0.371360 0.738474i
\(317\) 1.80712 + 1.80712i 0.101498 + 0.101498i 0.756032 0.654534i \(-0.227135\pi\)
−0.654534 + 0.756032i \(0.727135\pi\)
\(318\) 2.50314 + 1.54305i 0.140369 + 0.0865301i
\(319\) −17.6350 −0.987372
\(320\) 17.4486 3.94303i 0.975405 0.220422i
\(321\) −13.4210 −0.749088
\(322\) −5.89549 3.63426i −0.328543 0.202529i
\(323\) 0.376786 + 0.376786i 0.0209650 + 0.0209650i
\(324\) −0.898535 1.78679i −0.0499186 0.0992664i
\(325\) 27.3186 0.137046i 1.51536 0.00760197i
\(326\) 2.74375 + 11.5633i 0.151962 + 0.640430i
\(327\) −16.8373 −0.931106
\(328\) −5.97717 0.518198i −0.330034 0.0286127i
\(329\) 3.16449i 0.174464i
\(330\) 1.26032 7.95024i 0.0693785 0.437647i
\(331\) −5.82711 5.82711i −0.320287 0.320287i 0.528590 0.848877i \(-0.322721\pi\)
−0.848877 + 0.528590i \(0.822721\pi\)
\(332\) 6.04275 18.2681i 0.331639 1.00259i
\(333\) −8.47863 8.47863i −0.464626 0.464626i
\(334\) −17.4071 10.7306i −0.952475 0.587151i
\(335\) 22.9741 + 9.44875i 1.25521 + 0.516240i
\(336\) 2.79928 0.413033i 0.152713 0.0225328i
\(337\) 25.5357i 1.39102i 0.718516 + 0.695510i \(0.244822\pi\)
−0.718516 + 0.695510i \(0.755178\pi\)
\(338\) 12.5068 20.2885i 0.680278 1.10355i
\(339\) −5.60598 + 5.60598i −0.304475 + 0.304475i
\(340\) 0.713563 0.830779i 0.0386984 0.0450553i
\(341\) 13.6927 + 13.6927i 0.741499 + 0.741499i
\(342\) −0.710450 2.99413i −0.0384168 0.161904i
\(343\) −9.54958 −0.515629
\(344\) 1.76162 + 2.09607i 0.0949802 + 0.113012i
\(345\) 14.3163 + 5.88799i 0.770766 + 0.316999i
\(346\) 3.07102 + 12.9426i 0.165099 + 0.695796i
\(347\) 17.6028 17.6028i 0.944970 0.944970i −0.0535933 0.998563i \(-0.517067\pi\)
0.998563 + 0.0535933i \(0.0170675\pi\)
\(348\) 6.22503 + 12.3789i 0.333697 + 0.663577i
\(349\) −5.07562 + 5.07562i −0.271692 + 0.271692i −0.829781 0.558089i \(-0.811535\pi\)
0.558089 + 0.829781i \(0.311535\pi\)
\(350\) −4.86107 + 1.17923i −0.259835 + 0.0630325i
\(351\) 5.46378 0.291635
\(352\) 13.2292 + 5.68598i 0.705121 + 0.303064i
\(353\) 0.171535i 0.00912990i 0.999990 + 0.00456495i \(0.00145307\pi\)
−0.999990 + 0.00456495i \(0.998547\pi\)
\(354\) −6.15138 + 9.97876i −0.326942 + 0.530365i
\(355\) −1.79576 4.30479i −0.0953093 0.228474i
\(356\) −5.49409 + 2.76284i −0.291186 + 0.146430i
\(357\) 0.122492 0.122492i 0.00648299 0.00648299i
\(358\) −33.5990 + 7.97242i −1.77576 + 0.421355i
\(359\) 17.1694i 0.906169i 0.891468 + 0.453084i \(0.149676\pi\)
−0.891468 + 0.453084i \(0.850324\pi\)
\(360\) −6.02554 + 1.92169i −0.317574 + 0.101282i
\(361\) 14.2652i 0.750802i
\(362\) −2.36524 9.96807i −0.124314 0.523910i
\(363\) −3.19649 + 3.19649i −0.167772 + 0.167772i
\(364\) −2.42762 + 7.33904i −0.127242 + 0.384670i
\(365\) −20.0169 + 8.35016i −1.04773 + 0.437068i
\(366\) 0.0914983 + 0.0564039i 0.00478269 + 0.00294828i
\(367\) 23.3124i 1.21690i −0.793593 0.608450i \(-0.791792\pi\)
0.793593 0.608450i \(-0.208208\pi\)
\(368\) −16.5127 + 22.2291i −0.860786 + 1.15877i
\(369\) 2.12118 0.110424
\(370\) −30.6791 + 22.2832i −1.59493 + 1.15845i
\(371\) 1.04006 1.04006i 0.0539973 0.0539973i
\(372\) 4.77812 14.4449i 0.247734 0.748935i
\(373\) 1.11817 1.11817i 0.0578964 0.0578964i −0.677566 0.735462i \(-0.736965\pi\)
0.735462 + 0.677566i \(0.236965\pi\)
\(374\) 0.857732 0.203524i 0.0443523 0.0105240i
\(375\) 10.2968 4.35614i 0.531724 0.224950i
\(376\) 12.6055 + 1.09285i 0.650077 + 0.0563592i
\(377\) −37.8529 −1.94953
\(378\) −0.973384 + 0.230966i −0.0500655 + 0.0118796i
\(379\) 22.3707 + 22.3707i 1.14910 + 1.14910i 0.986729 + 0.162375i \(0.0519153\pi\)
0.162375 + 0.986729i \(0.448085\pi\)
\(380\) −9.70325 + 0.736475i −0.497766 + 0.0377804i
\(381\) −13.7509 + 13.7509i −0.704478 + 0.704478i
\(382\) 21.4334 + 13.2126i 1.09663 + 0.676013i
\(383\) 32.1168i 1.64109i −0.571579 0.820547i \(-0.693669\pi\)
0.571579 0.820547i \(-0.306331\pi\)
\(384\) −0.678560 11.2933i −0.0346276 0.576311i
\(385\) −3.72378 1.53151i −0.189781 0.0780528i
\(386\) 12.7809 20.7331i 0.650529 1.05529i
\(387\) −0.684507 0.684507i −0.0347955 0.0347955i
\(388\) −2.50012 + 1.25725i −0.126925 + 0.0638273i
\(389\) −22.7409 22.7409i −1.15301 1.15301i −0.985946 0.167062i \(-0.946572\pi\)
−0.167062 0.985946i \(-0.553428\pi\)
\(390\) 2.70524 17.0649i 0.136985 0.864115i
\(391\) 1.69529i 0.0857342i
\(392\) −1.58783 + 18.3149i −0.0801977 + 0.925043i
\(393\) 0.500701 0.0252570
\(394\) 19.6084 4.65270i 0.987857 0.234400i
\(395\) 15.1618 6.32484i 0.762874 0.318237i
\(396\) −4.83340 1.59880i −0.242887 0.0803428i
\(397\) −21.6530 21.6530i −1.08673 1.08673i −0.995863 0.0908707i \(-0.971035\pi\)
−0.0908707 0.995863i \(-0.528965\pi\)
\(398\) 4.26106 6.91229i 0.213588 0.346482i
\(399\) −1.53926 −0.0770596
\(400\) 3.01861 + 19.7709i 0.150930 + 0.988544i
\(401\) 17.1600 0.856931 0.428466 0.903558i \(-0.359054\pi\)
0.428466 + 0.903558i \(0.359054\pi\)
\(402\) 8.24440 13.3741i 0.411193 0.667037i
\(403\) 29.3908 + 29.3908i 1.46406 + 1.46406i
\(404\) −10.4740 + 31.6644i −0.521102 + 1.57536i
\(405\) 2.06370 0.860885i 0.102546 0.0427777i
\(406\) 6.74358 1.60013i 0.334678 0.0794129i
\(407\) −30.5218 −1.51291
\(408\) −0.445636 0.530241i −0.0220623 0.0262508i
\(409\) 17.9588i 0.888006i 0.896025 + 0.444003i \(0.146442\pi\)
−0.896025 + 0.444003i \(0.853558\pi\)
\(410\) 1.05024 6.62502i 0.0518677 0.327187i
\(411\) 5.16211 + 5.16211i 0.254628 + 0.254628i
\(412\) 2.05980 + 4.09605i 0.101479 + 0.201798i
\(413\) 4.14621 + 4.14621i 0.204022 + 0.204022i
\(414\) 5.13750 8.33405i 0.252495 0.409596i
\(415\) 19.8957 + 8.18267i 0.976642 + 0.401671i
\(416\) 28.3961 + 12.2047i 1.39223 + 0.598387i
\(417\) 12.5231i 0.613260i
\(418\) −6.66797 4.11045i −0.326141 0.201049i
\(419\) 23.4031 23.4031i 1.14332 1.14332i 0.155476 0.987840i \(-0.450309\pi\)
0.987840 0.155476i \(-0.0496913\pi\)
\(420\) 0.239427 + 3.15450i 0.0116828 + 0.153924i
\(421\) −27.0016 27.0016i −1.31598 1.31598i −0.916932 0.399043i \(-0.869342\pi\)
−0.399043 0.916932i \(-0.630658\pi\)
\(422\) 18.9405 4.49422i 0.922007 0.218775i
\(423\) −4.47342 −0.217505
\(424\) −3.78381 4.50218i −0.183758 0.218645i
\(425\) 0.870129 + 0.861442i 0.0422075 + 0.0417861i
\(426\) −2.87029 + 0.681065i −0.139066 + 0.0329977i
\(427\) 0.0380178 0.0380178i 0.00183981 0.00183981i
\(428\) 25.4840 + 8.42966i 1.23182 + 0.407463i
\(429\) 9.83441 9.83441i 0.474810 0.474810i
\(430\) −2.47682 + 1.79899i −0.119443 + 0.0867551i
\(431\) −28.4043 −1.36819 −0.684093 0.729395i \(-0.739802\pi\)
−0.684093 + 0.729395i \(0.739802\pi\)
\(432\) 0.583877 + 3.95716i 0.0280918 + 0.190389i
\(433\) 4.04564i 0.194421i −0.995264 0.0972106i \(-0.969008\pi\)
0.995264 0.0972106i \(-0.0309920\pi\)
\(434\) −6.47844 3.99362i −0.310975 0.191700i
\(435\) −14.2973 + 5.96419i −0.685503 + 0.285961i
\(436\) 31.9709 + 10.5754i 1.53113 + 0.506471i
\(437\) 10.6516 10.6516i 0.509537 0.509537i
\(438\) 3.16690 + 13.3466i 0.151320 + 0.637725i
\(439\) 10.4690i 0.499660i −0.968290 0.249830i \(-0.919625\pi\)
0.968290 0.249830i \(-0.0803748\pi\)
\(440\) −7.38662 + 14.3044i −0.352143 + 0.681937i
\(441\) 6.49959i 0.309504i
\(442\) 1.84109 0.436856i 0.0875717 0.0207791i
\(443\) −1.81582 + 1.81582i −0.0862722 + 0.0862722i −0.748926 0.662654i \(-0.769430\pi\)
0.662654 + 0.748926i \(0.269430\pi\)
\(444\) 10.7740 + 21.4247i 0.511310 + 1.01677i
\(445\) −2.64707 6.34554i −0.125483 0.300807i
\(446\) 16.4035 26.6097i 0.776726 1.26000i
\(447\) 7.65634i 0.362132i
\(448\) −5.57474 0.973939i −0.263382 0.0460143i
\(449\) −22.2064 −1.04799 −0.523993 0.851723i \(-0.675558\pi\)
−0.523993 + 0.851723i \(0.675558\pi\)
\(450\) −1.66700 6.87176i −0.0785830 0.323938i
\(451\) 3.81797 3.81797i 0.179781 0.179781i
\(452\) 14.1658 7.12364i 0.666303 0.335068i
\(453\) 0.241511 0.241511i 0.0113472 0.0113472i
\(454\) −2.47211 10.4185i −0.116022 0.488963i
\(455\) −7.99294 3.28732i −0.374715 0.154112i
\(456\) −0.531580 + 6.13152i −0.0248935 + 0.287135i
\(457\) 12.2280 0.572000 0.286000 0.958230i \(-0.407674\pi\)
0.286000 + 0.958230i \(0.407674\pi\)
\(458\) 8.45072 + 35.6148i 0.394876 + 1.66417i
\(459\) 0.173159 + 0.173159i 0.00808238 + 0.00808238i
\(460\) −23.4859 20.1722i −1.09503 0.940534i
\(461\) 0.723447 0.723447i 0.0336943 0.0336943i −0.690059 0.723753i \(-0.742415\pi\)
0.723753 + 0.690059i \(0.242415\pi\)
\(462\) −1.33630 + 2.16774i −0.0621703 + 0.100853i
\(463\) 5.42343i 0.252048i −0.992027 0.126024i \(-0.959778\pi\)
0.992027 0.126024i \(-0.0402217\pi\)
\(464\) −4.04509 27.4151i −0.187788 1.27271i
\(465\) 15.7320 + 6.47021i 0.729552 + 0.300049i
\(466\) 14.5120 + 8.94586i 0.672254 + 0.414409i
\(467\) −13.3242 13.3242i −0.616571 0.616571i 0.328079 0.944650i \(-0.393599\pi\)
−0.944650 + 0.328079i \(0.893599\pi\)
\(468\) −10.3747 3.43177i −0.479571 0.158634i
\(469\) −5.55696 5.55696i −0.256597 0.256597i
\(470\) −2.21489 + 13.9717i −0.102165 + 0.644468i
\(471\) 4.05122i 0.186671i
\(472\) 17.9479 15.0842i 0.826121 0.694306i
\(473\) −2.46413 −0.113301
\(474\) −2.39877 10.1094i −0.110179 0.464340i
\(475\) −0.0545788 10.8796i −0.00250425 0.499191i
\(476\) −0.309527 + 0.155654i −0.0141872 + 0.00713438i
\(477\) 1.47026 + 1.47026i 0.0673188 + 0.0673188i
\(478\) 33.6108 + 20.7193i 1.53732 + 0.947678i
\(479\) −1.25963 −0.0575541 −0.0287771 0.999586i \(-0.509161\pi\)
−0.0287771 + 0.999586i \(0.509161\pi\)
\(480\) 12.6484 + 0.135663i 0.577317 + 0.00619215i
\(481\) −65.5140 −2.98718
\(482\) −16.5070 10.1757i −0.751873 0.463490i
\(483\) −3.46282 3.46282i −0.157564 0.157564i
\(484\) 8.07724 4.06185i 0.367147 0.184629i
\(485\) −1.20457 2.88758i −0.0546967 0.131118i
\(486\) −0.326501 1.37601i −0.0148104 0.0624170i
\(487\) 15.8116 0.716491 0.358246 0.933627i \(-0.383375\pi\)
0.358246 + 0.933627i \(0.383375\pi\)
\(488\) −0.138311 0.164570i −0.00626106 0.00744974i
\(489\) 8.40349i 0.380019i
\(490\) −20.3000 3.21809i −0.917061 0.145378i
\(491\) −15.6008 15.6008i −0.704054 0.704054i 0.261224 0.965278i \(-0.415874\pi\)
−0.965278 + 0.261224i \(0.915874\pi\)
\(492\) −4.02772 1.33230i −0.181584 0.0600647i
\(493\) −1.19964 1.19964i −0.0540292 0.0540292i
\(494\) −14.3125 8.82293i −0.643952 0.396962i
\(495\) 2.16499 5.26405i 0.0973090 0.236601i
\(496\) −18.1455 + 24.4271i −0.814759 + 1.09681i
\(497\) 1.47560i 0.0661896i
\(498\) 7.13970 11.5820i 0.319938 0.519002i
\(499\) 25.6650 25.6650i 1.14892 1.14892i 0.162159 0.986765i \(-0.448154\pi\)
0.986765 0.162159i \(-0.0518459\pi\)
\(500\) −22.2878 + 1.80414i −0.996740 + 0.0806834i
\(501\) −10.2244 10.2244i −0.456792 0.456792i
\(502\) 4.18880 + 17.6533i 0.186955 + 0.787905i
\(503\) 4.72004 0.210456 0.105228 0.994448i \(-0.466443\pi\)
0.105228 + 0.994448i \(0.466443\pi\)
\(504\) 1.99335 + 0.172815i 0.0887907 + 0.00769781i
\(505\) −34.4857 14.1832i −1.53459 0.631144i
\(506\) −5.75355 24.2478i −0.255777 1.07795i
\(507\) 11.9168 11.9168i 0.529244 0.529244i
\(508\) 34.7472 17.4735i 1.54166 0.775261i
\(509\) −11.8862 + 11.8862i −0.526848 + 0.526848i −0.919631 0.392783i \(-0.871512\pi\)
0.392783 + 0.919631i \(0.371512\pi\)
\(510\) 0.626559 0.455089i 0.0277445 0.0201517i
\(511\) 6.86141 0.303531
\(512\) −5.80482 + 21.8702i −0.256539 + 0.966534i
\(513\) 2.17595i 0.0960706i
\(514\) 6.85280 11.1166i 0.302264 0.490332i
\(515\) −4.73084 + 1.97349i −0.208466 + 0.0869625i
\(516\) 0.869818 + 1.72969i 0.0382916 + 0.0761453i
\(517\) −8.05183 + 8.05183i −0.354119 + 0.354119i
\(518\) 11.6715 2.76942i 0.512815 0.121681i
\(519\) 9.40587i 0.412872i
\(520\) −15.8551 + 30.7039i −0.695292 + 1.34646i
\(521\) 5.01467i 0.219696i 0.993948 + 0.109848i \(0.0350365\pi\)
−0.993948 + 0.109848i \(0.964964\pi\)
\(522\) 2.26199 + 9.53295i 0.0990046 + 0.417246i
\(523\) 18.9502 18.9502i 0.828635 0.828635i −0.158693 0.987328i \(-0.550728\pi\)
0.987328 + 0.158693i \(0.0507279\pi\)
\(524\) −0.950739 0.314487i −0.0415332 0.0137384i
\(525\) −3.53694 + 0.0177435i −0.154365 + 0.000774388i
\(526\) 22.3335 + 13.7674i 0.973785 + 0.600287i
\(527\) 1.86292i 0.0811499i
\(528\) 8.17353 + 6.07166i 0.355707 + 0.264235i
\(529\) 24.9252 1.08370
\(530\) 5.32000 3.86408i 0.231086 0.167845i
\(531\) −5.86121 + 5.86121i −0.254355 + 0.254355i
\(532\) 2.92278 + 0.966802i 0.126718 + 0.0419162i
\(533\) 8.19512 8.19512i 0.354970 0.354970i
\(534\) −4.23099 + 1.00393i −0.183093 + 0.0434445i
\(535\) −11.4149 + 27.7546i −0.493508 + 1.19994i
\(536\) −24.0548 + 20.2166i −1.03901 + 0.873224i
\(537\) −24.4178 −1.05370
\(538\) −28.0175 + 6.64803i −1.20792 + 0.286617i
\(539\) −11.6988 11.6988i −0.503903 0.503903i
\(540\) −4.45931 + 0.338461i −0.191898 + 0.0145651i
\(541\) −22.8366 + 22.8366i −0.981822 + 0.981822i −0.999838 0.0180153i \(-0.994265\pi\)
0.0180153 + 0.999838i \(0.494265\pi\)
\(542\) −23.2313 14.3209i −0.997870 0.615134i
\(543\) 7.24419i 0.310878i
\(544\) 0.513139 + 1.28673i 0.0220007 + 0.0551681i
\(545\) −14.3205 + 34.8195i −0.613423 + 1.49150i
\(546\) −2.86832 + 4.65298i −0.122753 + 0.199129i
\(547\) −0.00963023 0.00963023i −0.000411759 0.000411759i 0.706901 0.707313i \(-0.250093\pi\)
−0.707313 + 0.706901i \(0.750093\pi\)
\(548\) −6.55960 13.0442i −0.280212 0.557220i
\(549\) 0.0537432 + 0.0537432i 0.00229371 + 0.00229371i
\(550\) −15.3691 9.36820i −0.655343 0.399461i
\(551\) 15.0749i 0.642214i
\(552\) −14.9897 + 12.5980i −0.638006 + 0.536206i
\(553\) −5.19718 −0.221006
\(554\) −6.85504 + 1.62657i −0.291243 + 0.0691064i
\(555\) −24.7450 + 10.3225i −1.05037 + 0.438167i
\(556\) 7.86570 23.7791i 0.333580 1.00846i
\(557\) 25.6660 + 25.6660i 1.08750 + 1.08750i 0.995785 + 0.0917192i \(0.0292362\pi\)
0.0917192 + 0.995785i \(0.470764\pi\)
\(558\) 5.64551 9.15813i 0.238993 0.387695i
\(559\) −5.28916 −0.223707
\(560\) 1.52670 6.14020i 0.0645148 0.259471i
\(561\) 0.623348 0.0263178
\(562\) −21.6754 + 35.1618i −0.914321 + 1.48321i
\(563\) −6.16719 6.16719i −0.259916 0.259916i 0.565104 0.825020i \(-0.308836\pi\)
−0.825020 + 0.565104i \(0.808836\pi\)
\(564\) 8.49420 + 2.80973i 0.357670 + 0.118311i
\(565\) 6.82515 + 16.3612i 0.287136 + 0.688319i
\(566\) 19.1538 4.54483i 0.805093 0.191033i
\(567\) −0.707398 −0.0297079
\(568\) 5.87791 + 0.509593i 0.246632 + 0.0213820i
\(569\) 4.05892i 0.170159i 0.996374 + 0.0850794i \(0.0271144\pi\)
−0.996374 + 0.0850794i \(0.972886\pi\)
\(570\) −6.79610 1.07736i −0.284657 0.0451257i
\(571\) −12.9113 12.9113i −0.540323 0.540323i 0.383301 0.923624i \(-0.374787\pi\)
−0.923624 + 0.383301i \(0.874787\pi\)
\(572\) −24.8507 + 12.4968i −1.03906 + 0.522517i
\(573\) 12.5893 + 12.5893i 0.525925 + 0.525925i
\(574\) −1.11355 + 1.80640i −0.0464788 + 0.0753978i
\(575\) 24.3527 24.5983i 1.01558 1.02582i
\(576\) 1.37679 7.88064i 0.0573663 0.328360i
\(577\) 10.4193i 0.433761i −0.976198 0.216880i \(-0.930412\pi\)
0.976198 0.216880i \(-0.0695882\pi\)
\(578\) −20.3933 12.5714i −0.848251 0.522902i
\(579\) 12.1780 12.1780i 0.506099 0.506099i
\(580\) 30.8940 2.34485i 1.28280 0.0973646i
\(581\) −4.81236 4.81236i −0.199650 0.199650i
\(582\) −1.92534 + 0.456848i −0.0798080 + 0.0189369i
\(583\) 5.29274 0.219203
\(584\) 2.36957 27.3318i 0.0980534 1.13100i
\(585\) 4.64706 11.2991i 0.192132 0.467160i
\(586\) −23.0088 + 5.45955i −0.950484 + 0.225532i
\(587\) −27.7728 + 27.7728i −1.14631 + 1.14631i −0.159033 + 0.987273i \(0.550838\pi\)
−0.987273 + 0.159033i \(0.949162\pi\)
\(588\) −4.08235 + 12.3415i −0.168353 + 0.508956i
\(589\) 11.7049 11.7049i 0.482291 0.482291i
\(590\) 15.4042 + 21.2082i 0.634180 + 0.873128i
\(591\) 14.2502 0.586175
\(592\) −7.00104 47.4487i −0.287741 1.95013i
\(593\) 25.4466i 1.04496i 0.852650 + 0.522482i \(0.174994\pi\)
−0.852650 + 0.522482i \(0.825006\pi\)
\(594\) −3.06439 1.88904i −0.125734 0.0775081i
\(595\) −0.149132 0.357497i −0.00611380 0.0146559i
\(596\) −4.80890 + 14.5380i −0.196980 + 0.595498i
\(597\) 4.06006 4.06006i 0.166167 0.166167i
\(598\) −12.3498 52.0470i −0.505020 2.12836i
\(599\) 1.32051i 0.0539544i −0.999636 0.0269772i \(-0.991412\pi\)
0.999636 0.0269772i \(-0.00858816\pi\)
\(600\) −1.15079 + 14.0952i −0.0469809 + 0.575436i
\(601\) 23.8236i 0.971787i −0.874018 0.485893i \(-0.838494\pi\)
0.874018 0.485893i \(-0.161506\pi\)
\(602\) 0.942275 0.223584i 0.0384043 0.00911261i
\(603\) 7.85550 7.85550i 0.319901 0.319901i
\(604\) −0.610277 + 0.306893i −0.0248318 + 0.0124873i
\(605\) 3.89165 + 9.32902i 0.158218 + 0.379279i
\(606\) −12.3754 + 20.0753i −0.502716 + 0.815505i
\(607\) 1.20300i 0.0488283i −0.999702 0.0244141i \(-0.992228\pi\)
0.999702 0.0244141i \(-0.00777203\pi\)
\(608\) 4.86054 11.3087i 0.197121 0.458630i
\(609\) 4.90083 0.198592
\(610\) 0.194464 0.141246i 0.00787363 0.00571886i
\(611\) −17.2830 + 17.2830i −0.699193 + 0.699193i
\(612\) −0.220037 0.437558i −0.00889447 0.0176872i
\(613\) −4.84340 + 4.84340i −0.195623 + 0.195623i −0.798121 0.602498i \(-0.794172\pi\)
0.602498 + 0.798121i \(0.294172\pi\)
\(614\) −7.67561 32.3481i −0.309762 1.30546i
\(615\) 1.80411 4.38659i 0.0727486 0.176884i
\(616\) 3.89893 3.27682i 0.157092 0.132027i
\(617\) 26.9719 1.08585 0.542924 0.839782i \(-0.317317\pi\)
0.542924 + 0.839782i \(0.317317\pi\)
\(618\) 0.748471 + 3.15436i 0.0301079 + 0.126887i
\(619\) 19.9202 + 19.9202i 0.800660 + 0.800660i 0.983199 0.182539i \(-0.0584316\pi\)
−0.182539 + 0.983199i \(0.558432\pi\)
\(620\) −25.8082 22.1669i −1.03648 0.890243i
\(621\) 4.89516 4.89516i 0.196436 0.196436i
\(622\) −10.2463 + 16.6216i −0.410840 + 0.666464i
\(623\) 2.17513i 0.0871446i
\(624\) 17.5442 + 13.0326i 0.702329 + 0.521721i
\(625\) −0.250824 24.9987i −0.0100330 0.999950i
\(626\) 8.91310 + 5.49446i 0.356239 + 0.219603i
\(627\) −3.91656 3.91656i −0.156412 0.156412i
\(628\) 2.54455 7.69253i 0.101539 0.306965i
\(629\) −2.07628 2.07628i −0.0827868 0.0827868i
\(630\) −0.350248 + 2.20940i −0.0139542 + 0.0880245i
\(631\) 12.7975i 0.509462i 0.967012 + 0.254731i \(0.0819870\pi\)
−0.967012 + 0.254731i \(0.918013\pi\)
\(632\) −1.79483 + 20.7025i −0.0713945 + 0.823502i
\(633\) 13.7648 0.547101
\(634\) −0.834425 3.51661i −0.0331392 0.139662i
\(635\) 16.7413 + 40.1321i 0.664360 + 1.59260i
\(636\) −1.86829 3.71522i −0.0740827 0.147318i
\(637\) −25.1110 25.1110i −0.994934 0.994934i
\(638\) 21.2300 + 13.0872i 0.840505 + 0.518127i
\(639\) −2.08595 −0.0825190
\(640\) −23.9317 8.20197i −0.945985 0.324211i
\(641\) 10.9406 0.432129 0.216064 0.976379i \(-0.430678\pi\)
0.216064 + 0.976379i \(0.430678\pi\)
\(642\) 16.1570 + 9.95992i 0.637664 + 0.393087i
\(643\) 18.2613 + 18.2613i 0.720157 + 0.720157i 0.968637 0.248480i \(-0.0799311\pi\)
−0.248480 + 0.968637i \(0.579931\pi\)
\(644\) 4.40028 + 8.75024i 0.173395 + 0.344808i
\(645\) −1.99775 + 0.833371i −0.0786612 + 0.0328140i
\(646\) −0.173978 0.733215i −0.00684508 0.0288479i
\(647\) 10.5055 0.413014 0.206507 0.978445i \(-0.433790\pi\)
0.206507 + 0.978445i \(0.433790\pi\)
\(648\) −0.244298 + 2.81786i −0.00959691 + 0.110696i
\(649\) 21.0995i 0.828228i
\(650\) −32.9893 20.1085i −1.29395 0.788720i
\(651\) −3.80523 3.80523i −0.149139 0.149139i
\(652\) 5.27818 15.9567i 0.206709 0.624911i
\(653\) −11.1836 11.1836i −0.437648 0.437648i 0.453572 0.891220i \(-0.350150\pi\)
−0.891220 + 0.453572i \(0.850150\pi\)
\(654\) 20.2697 + 12.4952i 0.792608 + 0.488601i
\(655\) 0.425857 1.03545i 0.0166396 0.0404583i
\(656\) 6.81109 + 5.05958i 0.265928 + 0.197543i
\(657\) 9.69951i 0.378414i
\(658\) 2.34841 3.80958i 0.0915505 0.148513i
\(659\) 2.60687 2.60687i 0.101549 0.101549i −0.654507 0.756056i \(-0.727124\pi\)
0.756056 + 0.654507i \(0.227124\pi\)
\(660\) −7.41723 + 8.63564i −0.288715 + 0.336142i
\(661\) 15.9084 + 15.9084i 0.618766 + 0.618766i 0.945215 0.326449i \(-0.105852\pi\)
−0.326449 + 0.945215i \(0.605852\pi\)
\(662\) 2.69062 + 11.3394i 0.104574 + 0.440717i
\(663\) 1.33799 0.0519634
\(664\) −20.8316 + 17.5077i −0.808421 + 0.679430i
\(665\) −1.30918 + 3.18319i −0.0507677 + 0.123439i
\(666\) 3.91494 + 16.4992i 0.151701 + 0.639329i
\(667\) −33.9135 + 33.9135i −1.31314 + 1.31314i
\(668\) 12.9924 + 25.8361i 0.502689 + 0.999629i
\(669\) 15.6297 15.6297i 0.604278 0.604278i
\(670\) −20.6455 28.4243i −0.797604 1.09813i
\(671\) 0.193468 0.00746874
\(672\) −3.67645 1.58015i −0.141822 0.0609557i
\(673\) 27.1091i 1.04498i −0.852645 0.522490i \(-0.825003\pi\)
0.852645 0.522490i \(-0.174997\pi\)
\(674\) 18.9504 30.7413i 0.729943 1.18411i
\(675\) −0.0250827 4.99994i −0.000965434 0.192448i
\(676\) −30.1127 + 15.1429i −1.15818 + 0.582420i
\(677\) 11.0637 11.0637i 0.425211 0.425211i −0.461782 0.886993i \(-0.652790\pi\)
0.886993 + 0.461782i \(0.152790\pi\)
\(678\) 10.9091 2.58852i 0.418960 0.0994114i
\(679\) 0.989807i 0.0379853i
\(680\) −1.47556 + 0.470592i −0.0565851 + 0.0180464i
\(681\) 7.57152i 0.290141i
\(682\) −6.32247 26.6455i −0.242100 1.02031i
\(683\) 17.4289 17.4289i 0.666898 0.666898i −0.290098 0.956997i \(-0.593688\pi\)
0.956997 + 0.290098i \(0.0936881\pi\)
\(684\) −1.36670 + 4.13173i −0.0522572 + 0.157981i
\(685\) 15.0657 6.28474i 0.575631 0.240128i
\(686\) 11.4963 + 7.08687i 0.438931 + 0.270578i
\(687\) 25.8827i 0.987487i
\(688\) −0.565216 3.83068i −0.0215487 0.146043i
\(689\) 11.3607 0.432807
\(690\) −12.8652 17.7126i −0.489771 0.674309i
\(691\) 26.0352 26.0352i 0.990426 0.990426i −0.00952887 0.999955i \(-0.503033\pi\)
0.999955 + 0.00952887i \(0.00303318\pi\)
\(692\) 5.90777 17.8600i 0.224580 0.678936i
\(693\) −1.27326 + 1.27326i −0.0483673 + 0.0483673i
\(694\) −34.2546 + 8.12797i −1.30029 + 0.308533i
\(695\) 25.8978 + 10.6512i 0.982359 + 0.404023i
\(696\) 1.69249 19.5220i 0.0641536 0.739981i
\(697\) 0.519443 0.0196753
\(698\) 9.87700 2.34363i 0.373850 0.0887076i
\(699\) 8.52387 + 8.52387i 0.322402 + 0.322402i
\(700\) 6.72714 + 2.18784i 0.254262 + 0.0826926i
\(701\) 2.08057 2.08057i 0.0785822 0.0785822i −0.666723 0.745305i \(-0.732304\pi\)
0.745305 + 0.666723i \(0.232304\pi\)
\(702\) −6.57760 4.05475i −0.248256 0.153036i
\(703\) 26.0910i 0.984039i
\(704\) −11.7065 16.6627i −0.441204 0.627999i
\(705\) −3.80474 + 9.25102i −0.143295 + 0.348414i
\(706\) 0.127299 0.206504i 0.00479095 0.00777187i
\(707\) 8.34137 + 8.34137i 0.313709 + 0.313709i
\(708\) 14.8107 7.44797i 0.556622 0.279912i
\(709\) −3.27484 3.27484i −0.122989 0.122989i 0.642933 0.765922i \(-0.277717\pi\)
−0.765922 + 0.642933i \(0.777717\pi\)
\(710\) −1.03280 + 6.51500i −0.0387603 + 0.244504i
\(711\) 7.34690i 0.275530i
\(712\) 8.66443 + 0.751173i 0.324713 + 0.0281514i
\(713\) 52.6641 1.97229
\(714\) −0.238367 + 0.0565599i −0.00892064 + 0.00211670i
\(715\) −11.9732 28.7019i −0.447771 1.07339i
\(716\) 46.3648 + 15.3366i 1.73273 + 0.573157i
\(717\) 19.7419 + 19.7419i 0.737275 + 0.737275i
\(718\) 12.7417 20.6695i 0.475515 0.771380i
\(719\) −2.03220 −0.0757882 −0.0378941 0.999282i \(-0.512065\pi\)
−0.0378941 + 0.999282i \(0.512065\pi\)
\(720\) 8.67999 + 2.15819i 0.323484 + 0.0804310i
\(721\) 1.62164 0.0603930
\(722\) 10.5864 17.1733i 0.393986 0.639123i
\(723\) −9.69568 9.69568i −0.360586 0.360586i
\(724\) −4.55003 + 13.7554i −0.169101 + 0.511215i
\(725\) 0.173772 + 34.6394i 0.00645375 + 1.28648i
\(726\) 6.22027 1.47595i 0.230856 0.0547778i
\(727\) −6.37077 −0.236279 −0.118139 0.992997i \(-0.537693\pi\)
−0.118139 + 0.992997i \(0.537693\pi\)
\(728\) 8.36891 7.03357i 0.310172 0.260682i
\(729\) 1.00000i 0.0370370i
\(730\) 30.2942 + 4.80244i 1.12124 + 0.177746i
\(731\) −0.167625 0.167625i −0.00619984 0.00619984i
\(732\) −0.0682926 0.135804i −0.00252417 0.00501947i
\(733\) 6.95026 + 6.95026i 0.256714 + 0.256714i 0.823716 0.567002i \(-0.191897\pi\)
−0.567002 + 0.823716i \(0.691897\pi\)
\(734\) −17.3005 + 28.0648i −0.638572 + 1.03589i
\(735\) −13.4411 5.52804i −0.495784 0.203905i
\(736\) 36.3755 14.5063i 1.34082 0.534709i
\(737\) 28.2787i 1.04166i
\(738\) −2.55359 1.57415i −0.0939990 0.0579454i
\(739\) 0.0483355 0.0483355i 0.00177805 0.00177805i −0.706217 0.707995i \(-0.749600\pi\)
0.707995 + 0.706217i \(0.249600\pi\)
\(740\) 53.4698 4.05835i 1.96559 0.149188i
\(741\) −8.40674 8.40674i −0.308829 0.308829i
\(742\) −2.02393 + 0.480240i −0.0743007 + 0.0176302i
\(743\) 0.148848 0.00546069 0.00273035 0.999996i \(-0.499131\pi\)
0.00273035 + 0.999996i \(0.499131\pi\)
\(744\) −16.4719 + 13.8437i −0.603891 + 0.507534i
\(745\) −15.8333 6.51188i −0.580087 0.238577i
\(746\) −2.17592 + 0.516304i −0.0796659 + 0.0189032i
\(747\) 6.80291 6.80291i 0.248905 0.248905i
\(748\) −1.18362 0.391521i −0.0432776 0.0143154i
\(749\) 6.71327 6.71327i 0.245297 0.245297i
\(750\) −15.6286 2.39724i −0.570676 0.0875347i
\(751\) 1.69304 0.0617798 0.0308899 0.999523i \(-0.490166\pi\)
0.0308899 + 0.999523i \(0.490166\pi\)
\(752\) −14.3641 10.6703i −0.523806 0.389106i
\(753\) 12.8294i 0.467528i
\(754\) 45.5695 + 28.0912i 1.65954 + 1.02302i
\(755\) −0.294034 0.704855i −0.0107010 0.0256523i
\(756\) 1.34322 + 0.444312i 0.0488523 + 0.0161595i
\(757\) 26.6876 26.6876i 0.969977 0.969977i −0.0295851 0.999562i \(-0.509419\pi\)
0.999562 + 0.0295851i \(0.00941860\pi\)
\(758\) −10.3295 43.5326i −0.375183 1.58118i
\(759\) 17.6219i 0.639633i
\(760\) 12.2279 + 6.31430i 0.443551 + 0.229044i
\(761\) 17.1363i 0.621189i 0.950542 + 0.310595i \(0.100528\pi\)
−0.950542 + 0.310595i \(0.899472\pi\)
\(762\) 26.7587 6.34935i 0.969367 0.230013i
\(763\) 8.42212 8.42212i 0.304901 0.304901i
\(764\) −15.9975 31.8120i −0.578769 1.15092i
\(765\) 0.505369 0.210817i 0.0182716 0.00762211i
\(766\) −23.8343 + 38.6640i −0.861169 + 1.39699i
\(767\) 45.2893i 1.63530i
\(768\) −7.56405 + 14.0991i −0.272944 + 0.508758i
\(769\) −25.6406 −0.924622 −0.462311 0.886718i \(-0.652980\pi\)
−0.462311 + 0.886718i \(0.652980\pi\)
\(770\) 3.34634 + 4.60718i 0.120594 + 0.166031i
\(771\) 6.52954 6.52954i 0.235156 0.235156i
\(772\) −30.7726 + 15.4748i −1.10753 + 0.556950i
\(773\) −27.4452 + 27.4452i −0.987137 + 0.987137i −0.999918 0.0127818i \(-0.995931\pi\)
0.0127818 + 0.999918i \(0.495931\pi\)
\(774\) 0.316066 + 1.33203i 0.0113607 + 0.0478788i
\(775\) 26.7607