Properties

Label 240.2.bl.a.109.1
Level $240$
Weight $2$
Character 240.109
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 109.1
Character \(\chi\) \(=\) 240.109
Dual form 240.2.bl.a.229.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40976 - 0.112110i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(1.97486 + 0.316097i) q^{4} +(2.18678 + 0.466917i) q^{5} +(1.07613 - 0.917579i) q^{6} +1.00010 q^{7} +(-2.74865 - 0.667024i) q^{8} -1.00000i q^{9} +O(q^{10})\) \(q+(-1.40976 - 0.112110i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(1.97486 + 0.316097i) q^{4} +(2.18678 + 0.466917i) q^{5} +(1.07613 - 0.917579i) q^{6} +1.00010 q^{7} +(-2.74865 - 0.667024i) q^{8} -1.00000i q^{9} +(-3.03049 - 0.903402i) q^{10} +(-1.89490 + 1.89490i) q^{11} +(-1.61995 + 1.17292i) q^{12} +(2.65915 - 2.65915i) q^{13} +(-1.40991 - 0.112121i) q^{14} +(-1.87644 + 1.21612i) q^{15} +(3.80016 + 1.24850i) q^{16} +1.73836i q^{17} +(-0.112110 + 1.40976i) q^{18} +(5.33902 + 5.33902i) q^{19} +(4.17099 + 1.61333i) q^{20} +(-0.707179 + 0.707179i) q^{21} +(2.88380 - 2.45892i) q^{22} +0.160230 q^{23} +(2.41525 - 1.47193i) q^{24} +(4.56398 + 2.04209i) q^{25} +(-4.04689 + 3.45065i) q^{26} +(0.707107 + 0.707107i) q^{27} +(1.97506 + 0.316129i) q^{28} +(2.70291 + 2.70291i) q^{29} +(2.78168 - 1.50408i) q^{30} -4.64288 q^{31} +(-5.21736 - 2.18612i) q^{32} -2.67980i q^{33} +(0.194888 - 2.45068i) q^{34} +(2.18700 + 0.466965i) q^{35} +(0.316097 - 1.97486i) q^{36} +(5.35773 + 5.35773i) q^{37} +(-6.92819 - 8.12530i) q^{38} +3.76061i q^{39} +(-5.69924 - 2.74202i) q^{40} -9.89786i q^{41} +(1.07624 - 0.917672i) q^{42} +(-7.23165 - 7.23165i) q^{43} +(-4.34114 + 3.14320i) q^{44} +(0.466917 - 2.18678i) q^{45} +(-0.225886 - 0.0179634i) q^{46} +4.79583i q^{47} +(-3.56994 + 1.80430i) q^{48} -5.99980 q^{49} +(-6.20519 - 3.39053i) q^{50} +(-1.22921 - 1.22921i) q^{51} +(6.09201 - 4.41091i) q^{52} +(3.44618 + 3.44618i) q^{53} +(-0.917579 - 1.07613i) q^{54} +(-5.02849 + 3.25896i) q^{55} +(-2.74893 - 0.667092i) q^{56} -7.55051 q^{57} +(-3.50744 - 4.11349i) q^{58} +(0.101729 - 0.101729i) q^{59} +(-4.09013 + 1.80854i) q^{60} +(-6.01811 - 6.01811i) q^{61} +(6.54535 + 0.520513i) q^{62} -1.00010i q^{63} +(7.11016 + 3.66683i) q^{64} +(7.05657 - 4.57336i) q^{65} +(-0.300432 + 3.77788i) q^{66} +(9.04430 - 9.04430i) q^{67} +(-0.549491 + 3.43302i) q^{68} +(-0.113300 + 0.113300i) q^{69} +(-3.03080 - 0.903494i) q^{70} -4.60679i q^{71} +(-0.667024 + 2.74865i) q^{72} -12.1920 q^{73} +(-6.95248 - 8.15379i) q^{74} +(-4.67119 + 1.78325i) q^{75} +(8.85617 + 12.2315i) q^{76} +(-1.89509 + 1.89509i) q^{77} +(0.421602 - 5.30156i) q^{78} -5.73529 q^{79} +(7.72716 + 4.50455i) q^{80} -1.00000 q^{81} +(-1.10965 + 13.9536i) q^{82} +(2.04924 - 2.04924i) q^{83} +(-1.62012 + 1.17304i) q^{84} +(-0.811670 + 3.80140i) q^{85} +(9.38417 + 11.0057i) q^{86} -3.82249 q^{87} +(6.47237 - 3.94448i) q^{88} -15.0386i q^{89} +(-0.903402 + 3.03049i) q^{90} +(2.65942 - 2.65942i) q^{91} +(0.316432 + 0.0506483i) q^{92} +(3.28301 - 3.28301i) q^{93} +(0.537662 - 6.76099i) q^{94} +(9.18235 + 14.1681i) q^{95} +(5.23505 - 2.14341i) q^{96} +3.84735i q^{97} +(8.45829 + 0.672638i) q^{98} +(1.89490 + 1.89490i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + O(q^{10}) \) \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96} + O(q^{100}) \)

Character values

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

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(1\) \(-1\) \(1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40976 0.112110i −0.996853 0.0792738i
\(3\) −0.707107 + 0.707107i −0.408248 + 0.408248i
\(4\) 1.97486 + 0.316097i 0.987431 + 0.158049i
\(5\) 2.18678 + 0.466917i 0.977956 + 0.208812i
\(6\) 1.07613 0.917579i 0.439327 0.374600i
\(7\) 1.00010 0.378003 0.189001 0.981977i \(-0.439475\pi\)
0.189001 + 0.981977i \(0.439475\pi\)
\(8\) −2.74865 0.667024i −0.971795 0.235829i
\(9\) 1.00000i 0.333333i
\(10\) −3.03049 0.903402i −0.958325 0.285681i
\(11\) −1.89490 + 1.89490i −0.571334 + 0.571334i −0.932501 0.361167i \(-0.882378\pi\)
0.361167 + 0.932501i \(0.382378\pi\)
\(12\) −1.61995 + 1.17292i −0.467640 + 0.338594i
\(13\) 2.65915 2.65915i 0.737515 0.737515i −0.234581 0.972097i \(-0.575372\pi\)
0.972097 + 0.234581i \(0.0753718\pi\)
\(14\) −1.40991 0.112121i −0.376813 0.0299657i
\(15\) −1.87644 + 1.21612i −0.484496 + 0.314002i
\(16\) 3.80016 + 1.24850i 0.950041 + 0.312124i
\(17\) 1.73836i 0.421614i 0.977528 + 0.210807i \(0.0676092\pi\)
−0.977528 + 0.210807i \(0.932391\pi\)
\(18\) −0.112110 + 1.40976i −0.0264246 + 0.332284i
\(19\) 5.33902 + 5.33902i 1.22485 + 1.22485i 0.965886 + 0.258968i \(0.0833826\pi\)
0.258968 + 0.965886i \(0.416617\pi\)
\(20\) 4.17099 + 1.61333i 0.932662 + 0.360752i
\(21\) −0.707179 + 0.707179i −0.154319 + 0.154319i
\(22\) 2.88380 2.45892i 0.614828 0.524244i
\(23\) 0.160230 0.0334103 0.0167051 0.999860i \(-0.494682\pi\)
0.0167051 + 0.999860i \(0.494682\pi\)
\(24\) 2.41525 1.47193i 0.493010 0.300457i
\(25\) 4.56398 + 2.04209i 0.912795 + 0.408417i
\(26\) −4.04689 + 3.45065i −0.793660 + 0.676729i
\(27\) 0.707107 + 0.707107i 0.136083 + 0.136083i
\(28\) 1.97506 + 0.316129i 0.373252 + 0.0597428i
\(29\) 2.70291 + 2.70291i 0.501918 + 0.501918i 0.912034 0.410116i \(-0.134512\pi\)
−0.410116 + 0.912034i \(0.634512\pi\)
\(30\) 2.78168 1.50408i 0.507863 0.274606i
\(31\) −4.64288 −0.833885 −0.416943 0.908933i \(-0.636898\pi\)
−0.416943 + 0.908933i \(0.636898\pi\)
\(32\) −5.21736 2.18612i −0.922308 0.386456i
\(33\) 2.67980i 0.466493i
\(34\) 0.194888 2.45068i 0.0334230 0.420287i
\(35\) 2.18700 + 0.466965i 0.369670 + 0.0789314i
\(36\) 0.316097 1.97486i 0.0526829 0.329144i
\(37\) 5.35773 + 5.35773i 0.880806 + 0.880806i 0.993616 0.112811i \(-0.0359854\pi\)
−0.112811 + 0.993616i \(0.535985\pi\)
\(38\) −6.92819 8.12530i −1.12390 1.31810i
\(39\) 3.76061i 0.602179i
\(40\) −5.69924 2.74202i −0.901128 0.433552i
\(41\) 9.89786i 1.54579i −0.634536 0.772893i \(-0.718809\pi\)
0.634536 0.772893i \(-0.281191\pi\)
\(42\) 1.07624 0.917672i 0.166067 0.141600i
\(43\) −7.23165 7.23165i −1.10282 1.10282i −0.994069 0.108747i \(-0.965316\pi\)
−0.108747 0.994069i \(-0.534684\pi\)
\(44\) −4.34114 + 3.14320i −0.654452 + 0.473855i
\(45\) 0.466917 2.18678i 0.0696039 0.325985i
\(46\) −0.225886 0.0179634i −0.0333051 0.00264856i
\(47\) 4.79583i 0.699544i 0.936835 + 0.349772i \(0.113741\pi\)
−0.936835 + 0.349772i \(0.886259\pi\)
\(48\) −3.56994 + 1.80430i −0.515277 + 0.260428i
\(49\) −5.99980 −0.857114
\(50\) −6.20519 3.39053i −0.877546 0.479493i
\(51\) −1.22921 1.22921i −0.172123 0.172123i
\(52\) 6.09201 4.41091i 0.844809 0.611683i
\(53\) 3.44618 + 3.44618i 0.473369 + 0.473369i 0.903003 0.429634i \(-0.141357\pi\)
−0.429634 + 0.903003i \(0.641357\pi\)
\(54\) −0.917579 1.07613i −0.124867 0.146442i
\(55\) −5.02849 + 3.25896i −0.678041 + 0.439438i
\(56\) −2.74893 0.667092i −0.367341 0.0891439i
\(57\) −7.55051 −1.00009
\(58\) −3.50744 4.11349i −0.460549 0.540127i
\(59\) 0.101729 0.101729i 0.0132440 0.0132440i −0.700454 0.713698i \(-0.747019\pi\)
0.713698 + 0.700454i \(0.247019\pi\)
\(60\) −4.09013 + 1.80854i −0.528034 + 0.233481i
\(61\) −6.01811 6.01811i −0.770540 0.770540i 0.207661 0.978201i \(-0.433415\pi\)
−0.978201 + 0.207661i \(0.933415\pi\)
\(62\) 6.54535 + 0.520513i 0.831261 + 0.0661053i
\(63\) 1.00010i 0.126001i
\(64\) 7.11016 + 3.66683i 0.888770 + 0.458354i
\(65\) 7.05657 4.57336i 0.875259 0.567256i
\(66\) −0.300432 + 3.77788i −0.0369806 + 0.465024i
\(67\) 9.04430 9.04430i 1.10494 1.10494i 0.111131 0.993806i \(-0.464553\pi\)
0.993806 0.111131i \(-0.0354473\pi\)
\(68\) −0.549491 + 3.43302i −0.0666356 + 0.416315i
\(69\) −0.113300 + 0.113300i −0.0136397 + 0.0136397i
\(70\) −3.03080 0.903494i −0.362250 0.107988i
\(71\) 4.60679i 0.546726i −0.961911 0.273363i \(-0.911864\pi\)
0.961911 0.273363i \(-0.0881360\pi\)
\(72\) −0.667024 + 2.74865i −0.0786096 + 0.323932i
\(73\) −12.1920 −1.42697 −0.713485 0.700671i \(-0.752884\pi\)
−0.713485 + 0.700671i \(0.752884\pi\)
\(74\) −6.95248 8.15379i −0.808209 0.947858i
\(75\) −4.67119 + 1.78325i −0.539383 + 0.205912i
\(76\) 8.85617 + 12.2315i 1.01587 + 1.40305i
\(77\) −1.89509 + 1.89509i −0.215966 + 0.215966i
\(78\) 0.421602 5.30156i 0.0477370 0.600284i
\(79\) −5.73529 −0.645271 −0.322635 0.946523i \(-0.604569\pi\)
−0.322635 + 0.946523i \(0.604569\pi\)
\(80\) 7.72716 + 4.50455i 0.863923 + 0.503624i
\(81\) −1.00000 −0.111111
\(82\) −1.10965 + 13.9536i −0.122540 + 1.54092i
\(83\) 2.04924 2.04924i 0.224934 0.224934i −0.585639 0.810572i \(-0.699156\pi\)
0.810572 + 0.585639i \(0.199156\pi\)
\(84\) −1.62012 + 1.17304i −0.176769 + 0.127990i
\(85\) −0.811670 + 3.80140i −0.0880380 + 0.412320i
\(86\) 9.38417 + 11.0057i 1.01192 + 1.18677i
\(87\) −3.82249 −0.409814
\(88\) 6.47237 3.94448i 0.689957 0.420483i
\(89\) 15.0386i 1.59409i −0.603922 0.797044i \(-0.706396\pi\)
0.603922 0.797044i \(-0.293604\pi\)
\(90\) −0.903402 + 3.03049i −0.0952269 + 0.319442i
\(91\) 2.65942 2.65942i 0.278783 0.278783i
\(92\) 0.316432 + 0.0506483i 0.0329903 + 0.00528045i
\(93\) 3.28301 3.28301i 0.340432 0.340432i
\(94\) 0.537662 6.76099i 0.0554556 0.697343i
\(95\) 9.18235 + 14.1681i 0.942089 + 1.45362i
\(96\) 5.23505 2.14341i 0.534300 0.218761i
\(97\) 3.84735i 0.390639i 0.980740 + 0.195320i \(0.0625744\pi\)
−0.980740 + 0.195320i \(0.937426\pi\)
\(98\) 8.45829 + 0.672638i 0.854416 + 0.0679467i
\(99\) 1.89490 + 1.89490i 0.190445 + 0.190445i
\(100\) 8.36773 + 5.47550i 0.836773 + 0.547550i
\(101\) 5.60917 5.60917i 0.558133 0.558133i −0.370642 0.928776i \(-0.620862\pi\)
0.928776 + 0.370642i \(0.120862\pi\)
\(102\) 1.59508 + 1.87070i 0.157937 + 0.185226i
\(103\) −14.9978 −1.47778 −0.738888 0.673828i \(-0.764649\pi\)
−0.738888 + 0.673828i \(0.764649\pi\)
\(104\) −9.08279 + 5.53536i −0.890641 + 0.542786i
\(105\) −1.87663 + 1.21625i −0.183141 + 0.118694i
\(106\) −4.47195 5.24465i −0.434354 0.509406i
\(107\) −1.22436 1.22436i −0.118363 0.118363i 0.645444 0.763807i \(-0.276672\pi\)
−0.763807 + 0.645444i \(0.776672\pi\)
\(108\) 1.17292 + 1.61995i 0.112865 + 0.155880i
\(109\) 5.31222 + 5.31222i 0.508819 + 0.508819i 0.914164 0.405345i \(-0.132849\pi\)
−0.405345 + 0.914164i \(0.632849\pi\)
\(110\) 7.45434 4.03062i 0.710743 0.384305i
\(111\) −7.57698 −0.719175
\(112\) 3.80055 + 1.24862i 0.359118 + 0.117984i
\(113\) 10.5478i 0.992249i −0.868251 0.496125i \(-0.834756\pi\)
0.868251 0.496125i \(-0.165244\pi\)
\(114\) 10.6444 + 0.846488i 0.996942 + 0.0792809i
\(115\) 0.350387 + 0.0748141i 0.0326738 + 0.00697645i
\(116\) 4.48349 + 6.19226i 0.416282 + 0.574937i
\(117\) −2.65915 2.65915i −0.245838 0.245838i
\(118\) −0.154819 + 0.132009i −0.0142523 + 0.0121524i
\(119\) 1.73854i 0.159371i
\(120\) 5.96887 2.09106i 0.544881 0.190887i
\(121\) 3.81870i 0.347154i
\(122\) 7.80942 + 9.15880i 0.707031 + 0.829199i
\(123\) 6.99885 + 6.99885i 0.631065 + 0.631065i
\(124\) −9.16904 1.46760i −0.823404 0.131794i
\(125\) 9.02691 + 6.59658i 0.807391 + 0.590016i
\(126\) −0.112121 + 1.40991i −0.00998858 + 0.125604i
\(127\) 5.78563i 0.513391i −0.966492 0.256696i \(-0.917366\pi\)
0.966492 0.256696i \(-0.0826338\pi\)
\(128\) −9.61255 5.96649i −0.849637 0.527368i
\(129\) 10.2271 0.900446
\(130\) −10.4608 + 5.65624i −0.917473 + 0.496085i
\(131\) −1.01902 1.01902i −0.0890321 0.0890321i 0.661188 0.750220i \(-0.270053\pi\)
−0.750220 + 0.661188i \(0.770053\pi\)
\(132\) 0.847076 5.29223i 0.0737285 0.460629i
\(133\) 5.33956 + 5.33956i 0.462998 + 0.462998i
\(134\) −13.7643 + 11.7364i −1.18905 + 1.01387i
\(135\) 1.21612 + 1.87644i 0.104667 + 0.161499i
\(136\) 1.15953 4.77814i 0.0994287 0.409722i
\(137\) −11.1576 −0.953260 −0.476630 0.879104i \(-0.658142\pi\)
−0.476630 + 0.879104i \(0.658142\pi\)
\(138\) 0.172428 0.147024i 0.0146780 0.0125155i
\(139\) 15.9657 15.9657i 1.35419 1.35419i 0.473277 0.880914i \(-0.343071\pi\)
0.880914 0.473277i \(-0.156929\pi\)
\(140\) 4.17141 + 1.61350i 0.352549 + 0.136365i
\(141\) −3.39117 3.39117i −0.285588 0.285588i
\(142\) −0.516468 + 6.49449i −0.0433411 + 0.545005i
\(143\) 10.0777i 0.842736i
\(144\) 1.24850 3.80016i 0.104041 0.316680i
\(145\) 4.64862 + 7.17270i 0.386047 + 0.595660i
\(146\) 17.1879 + 1.36685i 1.42248 + 0.113121i
\(147\) 4.24250 4.24250i 0.349915 0.349915i
\(148\) 8.88722 + 12.2743i 0.730525 + 1.00895i
\(149\) −14.5202 + 14.5202i −1.18954 + 1.18954i −0.212342 + 0.977195i \(0.568109\pi\)
−0.977195 + 0.212342i \(0.931891\pi\)
\(150\) 6.78519 1.99027i 0.554009 0.162505i
\(151\) 14.7230i 1.19814i −0.800695 0.599072i \(-0.795536\pi\)
0.800695 0.599072i \(-0.204464\pi\)
\(152\) −11.1138 18.2363i −0.901451 1.47916i
\(153\) 1.73836 0.140538
\(154\) 2.88409 2.45917i 0.232407 0.198166i
\(155\) −10.1529 2.16784i −0.815503 0.174125i
\(156\) −1.18872 + 7.42668i −0.0951736 + 0.594610i
\(157\) −9.44726 + 9.44726i −0.753974 + 0.753974i −0.975218 0.221245i \(-0.928988\pi\)
0.221245 + 0.975218i \(0.428988\pi\)
\(158\) 8.08540 + 0.642984i 0.643240 + 0.0511531i
\(159\) −4.87364 −0.386505
\(160\) −10.3885 7.21664i −0.821280 0.570525i
\(161\) 0.160246 0.0126292
\(162\) 1.40976 + 0.112110i 0.110761 + 0.00880820i
\(163\) −7.66138 + 7.66138i −0.600086 + 0.600086i −0.940335 0.340250i \(-0.889488\pi\)
0.340250 + 0.940335i \(0.389488\pi\)
\(164\) 3.12869 19.5469i 0.244310 1.52636i
\(165\) 1.25124 5.86011i 0.0974091 0.456209i
\(166\) −3.11869 + 2.65921i −0.242057 + 0.206394i
\(167\) 14.4195 1.11581 0.557906 0.829904i \(-0.311605\pi\)
0.557906 + 0.829904i \(0.311605\pi\)
\(168\) 2.41549 1.47208i 0.186359 0.113574i
\(169\) 1.14216i 0.0878581i
\(170\) 1.57044 5.26808i 0.120447 0.404043i
\(171\) 5.33902 5.33902i 0.408285 0.408285i
\(172\) −11.9956 16.5674i −0.914657 1.26325i
\(173\) 0.942572 0.942572i 0.0716624 0.0716624i −0.670367 0.742030i \(-0.733863\pi\)
0.742030 + 0.670367i \(0.233863\pi\)
\(174\) 5.38881 + 0.428540i 0.408525 + 0.0324875i
\(175\) 4.56444 + 2.04229i 0.345039 + 0.154383i
\(176\) −9.56672 + 4.83516i −0.721119 + 0.364464i
\(177\) 0.143867i 0.0108137i
\(178\) −1.68598 + 21.2008i −0.126369 + 1.58907i
\(179\) −3.23789 3.23789i −0.242011 0.242011i 0.575671 0.817682i \(-0.304741\pi\)
−0.817682 + 0.575671i \(0.804741\pi\)
\(180\) 1.61333 4.17099i 0.120251 0.310887i
\(181\) −13.0914 + 13.0914i −0.973076 + 0.973076i −0.999647 0.0265713i \(-0.991541\pi\)
0.0265713 + 0.999647i \(0.491541\pi\)
\(182\) −4.04730 + 3.45100i −0.300006 + 0.255805i
\(183\) 8.51089 0.629143
\(184\) −0.440416 0.106877i −0.0324679 0.00787910i
\(185\) 9.21454 + 14.2178i 0.677467 + 1.04531i
\(186\) −4.99632 + 4.26021i −0.366348 + 0.312373i
\(187\) −3.29402 3.29402i −0.240883 0.240883i
\(188\) −1.51595 + 9.47111i −0.110562 + 0.690752i
\(189\) 0.707179 + 0.707179i 0.0514397 + 0.0514397i
\(190\) −11.3566 21.0031i −0.823891 1.52373i
\(191\) 9.80663 0.709583 0.354791 0.934946i \(-0.384552\pi\)
0.354791 + 0.934946i \(0.384552\pi\)
\(192\) −7.62048 + 2.43480i −0.549961 + 0.175716i
\(193\) 6.82164i 0.491033i 0.969392 + 0.245516i \(0.0789575\pi\)
−0.969392 + 0.245516i \(0.921043\pi\)
\(194\) 0.431327 5.42385i 0.0309675 0.389410i
\(195\) −1.75589 + 8.22360i −0.125742 + 0.588904i
\(196\) −11.8488 1.89652i −0.846341 0.135466i
\(197\) −15.5142 15.5142i −1.10534 1.10534i −0.993755 0.111587i \(-0.964407\pi\)
−0.111587 0.993755i \(-0.535593\pi\)
\(198\) −2.45892 2.88380i −0.174748 0.204943i
\(199\) 7.92050i 0.561469i 0.959785 + 0.280735i \(0.0905781\pi\)
−0.959785 + 0.280735i \(0.909422\pi\)
\(200\) −11.1827 8.65726i −0.790733 0.612161i
\(201\) 12.7906i 0.902177i
\(202\) −8.53645 + 7.27876i −0.600622 + 0.512132i
\(203\) 2.70319 + 2.70319i 0.189726 + 0.189726i
\(204\) −2.03896 2.81606i −0.142756 0.197164i
\(205\) 4.62148 21.6444i 0.322778 1.51171i
\(206\) 21.1433 + 1.68140i 1.47313 + 0.117149i
\(207\) 0.160230i 0.0111368i
\(208\) 13.4252 6.78527i 0.930867 0.470474i
\(209\) −20.2338 −1.39960
\(210\) 2.78196 1.50423i 0.191974 0.103802i
\(211\) −10.2008 10.2008i −0.702253 0.702253i 0.262641 0.964894i \(-0.415406\pi\)
−0.964894 + 0.262641i \(0.915406\pi\)
\(212\) 5.71641 + 7.89506i 0.392604 + 0.542235i
\(213\) 3.25750 + 3.25750i 0.223200 + 0.223200i
\(214\) 1.58879 + 1.86332i 0.108608 + 0.127374i
\(215\) −12.4374 19.1906i −0.848225 1.30879i
\(216\) −1.47193 2.41525i −0.100152 0.164337i
\(217\) −4.64335 −0.315211
\(218\) −6.89342 8.08453i −0.466881 0.547553i
\(219\) 8.62107 8.62107i 0.582558 0.582558i
\(220\) −10.9607 + 4.84651i −0.738972 + 0.326752i
\(221\) 4.62256 + 4.62256i 0.310947 + 0.310947i
\(222\) 10.6817 + 0.849456i 0.716911 + 0.0570117i
\(223\) 13.8689i 0.928732i −0.885643 0.464366i \(-0.846282\pi\)
0.885643 0.464366i \(-0.153718\pi\)
\(224\) −5.21789 2.18634i −0.348635 0.146081i
\(225\) 2.04209 4.56398i 0.136139 0.304265i
\(226\) −1.18251 + 14.8698i −0.0786594 + 0.989126i
\(227\) 17.9180 17.9180i 1.18926 1.18926i 0.211987 0.977273i \(-0.432007\pi\)
0.977273 0.211987i \(-0.0679934\pi\)
\(228\) −14.9112 2.38670i −0.987519 0.158063i
\(229\) −2.04384 + 2.04384i −0.135061 + 0.135061i −0.771405 0.636344i \(-0.780446\pi\)
0.636344 + 0.771405i \(0.280446\pi\)
\(230\) −0.485575 0.144752i −0.0320179 0.00954467i
\(231\) 2.68007i 0.176336i
\(232\) −5.62645 9.23226i −0.369394 0.606128i
\(233\) 11.1084 0.727733 0.363867 0.931451i \(-0.381456\pi\)
0.363867 + 0.931451i \(0.381456\pi\)
\(234\) 3.45065 + 4.04689i 0.225576 + 0.264553i
\(235\) −2.23926 + 10.4874i −0.146073 + 0.684123i
\(236\) 0.233058 0.168745i 0.0151708 0.0109844i
\(237\) 4.05546 4.05546i 0.263431 0.263431i
\(238\) 0.194908 2.45092i 0.0126340 0.158870i
\(239\) −19.1106 −1.23616 −0.618080 0.786115i \(-0.712089\pi\)
−0.618080 + 0.786115i \(0.712089\pi\)
\(240\) −8.64913 + 2.27873i −0.558299 + 0.147092i
\(241\) −5.95102 −0.383339 −0.191669 0.981460i \(-0.561390\pi\)
−0.191669 + 0.981460i \(0.561390\pi\)
\(242\) 0.428114 5.38346i 0.0275202 0.346062i
\(243\) 0.707107 0.707107i 0.0453609 0.0453609i
\(244\) −9.98263 13.7873i −0.639073 0.882638i
\(245\) −13.1202 2.80141i −0.838220 0.178975i
\(246\) −9.08207 10.6514i −0.579052 0.679106i
\(247\) 28.3945 1.80670
\(248\) 12.7616 + 3.09691i 0.810365 + 0.196654i
\(249\) 2.89807i 0.183658i
\(250\) −11.9863 10.3116i −0.758077 0.652165i
\(251\) −20.8714 + 20.8714i −1.31739 + 1.31739i −0.401552 + 0.915836i \(0.631529\pi\)
−0.915836 + 0.401552i \(0.868471\pi\)
\(252\) 0.316129 1.97506i 0.0199143 0.124417i
\(253\) −0.303620 + 0.303620i −0.0190884 + 0.0190884i
\(254\) −0.648627 + 8.15636i −0.0406985 + 0.511776i
\(255\) −2.11406 3.26194i −0.132388 0.204270i
\(256\) 12.8825 + 9.48899i 0.805157 + 0.593062i
\(257\) 9.30565i 0.580470i 0.956955 + 0.290235i \(0.0937335\pi\)
−0.956955 + 0.290235i \(0.906266\pi\)
\(258\) −14.4178 1.14656i −0.897612 0.0713818i
\(259\) 5.35828 + 5.35828i 0.332947 + 0.332947i
\(260\) 15.3814 6.80120i 0.953913 0.421792i
\(261\) 2.70291 2.70291i 0.167306 0.167306i
\(262\) 1.32233 + 1.55082i 0.0816940 + 0.0958098i
\(263\) 20.0922 1.23894 0.619469 0.785021i \(-0.287348\pi\)
0.619469 + 0.785021i \(0.287348\pi\)
\(264\) −1.78749 + 7.36582i −0.110012 + 0.453335i
\(265\) 5.92695 + 9.14511i 0.364089 + 0.561780i
\(266\) −6.92889 8.12613i −0.424838 0.498245i
\(267\) 10.6339 + 10.6339i 0.650783 + 0.650783i
\(268\) 20.7201 15.0024i 1.26568 0.916415i
\(269\) 21.1446 + 21.1446i 1.28921 + 1.28921i 0.935268 + 0.353941i \(0.115159\pi\)
0.353941 + 0.935268i \(0.384841\pi\)
\(270\) −1.50408 2.78168i −0.0915353 0.169288i
\(271\) 21.4729 1.30438 0.652192 0.758053i \(-0.273849\pi\)
0.652192 + 0.758053i \(0.273849\pi\)
\(272\) −2.17034 + 6.60605i −0.131596 + 0.400551i
\(273\) 3.76099i 0.227625i
\(274\) 15.7296 + 1.25088i 0.950260 + 0.0755685i
\(275\) −12.5178 + 4.77873i −0.754854 + 0.288169i
\(276\) −0.259565 + 0.187938i −0.0156240 + 0.0113125i
\(277\) 4.23508 + 4.23508i 0.254461 + 0.254461i 0.822797 0.568336i \(-0.192412\pi\)
−0.568336 + 0.822797i \(0.692412\pi\)
\(278\) −24.2977 + 20.7179i −1.45728 + 1.24258i
\(279\) 4.64288i 0.277962i
\(280\) −5.69982 2.74230i −0.340629 0.163884i
\(281\) 13.5822i 0.810248i −0.914262 0.405124i \(-0.867228\pi\)
0.914262 0.405124i \(-0.132772\pi\)
\(282\) 4.40056 + 5.16093i 0.262049 + 0.307329i
\(283\) 15.9090 + 15.9090i 0.945692 + 0.945692i 0.998599 0.0529078i \(-0.0168489\pi\)
−0.0529078 + 0.998599i \(0.516849\pi\)
\(284\) 1.45620 9.09779i 0.0864093 0.539854i
\(285\) −16.5113 3.52546i −0.978043 0.208830i
\(286\) 1.12981 14.2071i 0.0668069 0.840084i
\(287\) 9.89887i 0.584312i
\(288\) −2.18612 + 5.21736i −0.128819 + 0.307436i
\(289\) 13.9781 0.822241
\(290\) −5.74933 10.6330i −0.337612 0.624389i
\(291\) −2.72049 2.72049i −0.159478 0.159478i
\(292\) −24.0776 3.85387i −1.40903 0.225531i
\(293\) 6.55813 + 6.55813i 0.383130 + 0.383130i 0.872229 0.489098i \(-0.162674\pi\)
−0.489098 + 0.872229i \(0.662674\pi\)
\(294\) −6.45654 + 5.50529i −0.376553 + 0.321075i
\(295\) 0.269958 0.174960i 0.0157176 0.0101866i
\(296\) −11.1528 18.3003i −0.648243 1.06368i
\(297\) −2.67980 −0.155498
\(298\) 22.0978 18.8421i 1.28009 1.09149i
\(299\) 0.426076 0.426076i 0.0246406 0.0246406i
\(300\) −9.78864 + 2.04511i −0.565147 + 0.118075i
\(301\) −7.23238 7.23238i −0.416868 0.416868i
\(302\) −1.65060 + 20.7560i −0.0949814 + 1.19437i
\(303\) 7.93257i 0.455714i
\(304\) 13.6234 + 26.9549i 0.781355 + 1.54597i
\(305\) −10.3503 15.9702i −0.592656 0.914452i
\(306\) −2.45068 0.194888i −0.140096 0.0111410i
\(307\) −6.02585 + 6.02585i −0.343913 + 0.343913i −0.857836 0.513923i \(-0.828192\pi\)
0.513923 + 0.857836i \(0.328192\pi\)
\(308\) −4.34158 + 3.14352i −0.247385 + 0.179118i
\(309\) 10.6050 10.6050i 0.603300 0.603300i
\(310\) 14.0702 + 4.19438i 0.799133 + 0.238225i
\(311\) 21.1776i 1.20087i 0.799673 + 0.600436i \(0.205006\pi\)
−0.799673 + 0.600436i \(0.794994\pi\)
\(312\) 2.50842 10.3366i 0.142011 0.585194i
\(313\) 4.30438 0.243298 0.121649 0.992573i \(-0.461182\pi\)
0.121649 + 0.992573i \(0.461182\pi\)
\(314\) 14.3775 12.2593i 0.811371 0.691830i
\(315\) 0.466965 2.18700i 0.0263105 0.123223i
\(316\) −11.3264 1.81291i −0.637161 0.101984i
\(317\) −23.4323 + 23.4323i −1.31609 + 1.31609i −0.399242 + 0.916845i \(0.630727\pi\)
−0.916845 + 0.399242i \(0.869273\pi\)
\(318\) 6.87067 + 0.546384i 0.385288 + 0.0306397i
\(319\) −10.2435 −0.573526
\(320\) 13.8362 + 11.3384i 0.773468 + 0.633836i
\(321\) 1.73151 0.0966432
\(322\) −0.225909 0.0179652i −0.0125894 0.00100116i
\(323\) −9.28113 + 9.28113i −0.516416 + 0.516416i
\(324\) −1.97486 0.316097i −0.109715 0.0175610i
\(325\) 17.5665 6.70608i 0.974415 0.371987i
\(326\) 11.6596 9.94181i 0.645768 0.550626i
\(327\) −7.51262 −0.415449
\(328\) −6.60212 + 27.2058i −0.364541 + 1.50219i
\(329\) 4.79632i 0.264430i
\(330\) −2.42093 + 8.12109i −0.133268 + 0.447051i
\(331\) 5.03806 5.03806i 0.276917 0.276917i −0.554960 0.831877i \(-0.687267\pi\)
0.831877 + 0.554960i \(0.187267\pi\)
\(332\) 4.69473 3.39921i 0.257657 0.186556i
\(333\) 5.35773 5.35773i 0.293602 0.293602i
\(334\) −20.3280 1.61657i −1.11230 0.0884547i
\(335\) 24.0008 15.5549i 1.31130 0.849856i
\(336\) −3.57031 + 1.80448i −0.194776 + 0.0984427i
\(337\) 11.5659i 0.630037i −0.949086 0.315018i \(-0.897989\pi\)
0.949086 0.315018i \(-0.102011\pi\)
\(338\) −0.128047 + 1.61017i −0.00696485 + 0.0875816i
\(339\) 7.45839 + 7.45839i 0.405084 + 0.405084i
\(340\) −2.80455 + 7.25068i −0.152098 + 0.393223i
\(341\) 8.79779 8.79779i 0.476427 0.476427i
\(342\) −8.12530 + 6.92819i −0.439366 + 0.374634i
\(343\) −13.0011 −0.701994
\(344\) 15.0536 + 24.7010i 0.811635 + 1.33179i
\(345\) −0.300663 + 0.194860i −0.0161871 + 0.0104909i
\(346\) −1.43448 + 1.22313i −0.0771179 + 0.0657560i
\(347\) −1.64106 1.64106i −0.0880968 0.0880968i 0.661685 0.749782i \(-0.269842\pi\)
−0.749782 + 0.661685i \(0.769842\pi\)
\(348\) −7.54890 1.20828i −0.404663 0.0647706i
\(349\) 13.8252 + 13.8252i 0.740045 + 0.740045i 0.972586 0.232542i \(-0.0747042\pi\)
−0.232542 + 0.972586i \(0.574704\pi\)
\(350\) −6.20582 3.39087i −0.331715 0.181250i
\(351\) 3.76061 0.200726
\(352\) 14.0289 5.74390i 0.747742 0.306151i
\(353\) 3.70491i 0.197193i 0.995128 + 0.0985964i \(0.0314353\pi\)
−0.995128 + 0.0985964i \(0.968565\pi\)
\(354\) 0.0161289 0.202818i 0.000857244 0.0107797i
\(355\) 2.15099 10.0740i 0.114163 0.534674i
\(356\) 4.75366 29.6992i 0.251943 1.57405i
\(357\) −1.22933 1.22933i −0.0650631 0.0650631i
\(358\) 4.20166 + 4.92766i 0.222064 + 0.260435i
\(359\) 12.9673i 0.684387i −0.939630 0.342194i \(-0.888830\pi\)
0.939630 0.342194i \(-0.111170\pi\)
\(360\) −2.74202 + 5.69924i −0.144517 + 0.300376i
\(361\) 38.0102i 2.00054i
\(362\) 19.9234 16.9881i 1.04715 0.892874i
\(363\) −2.70023 2.70023i −0.141725 0.141725i
\(364\) 6.09262 4.41135i 0.319340 0.231218i
\(365\) −26.6612 5.69267i −1.39551 0.297968i
\(366\) −11.9983 0.954157i −0.627163 0.0498746i
\(367\) 3.12457i 0.163101i −0.996669 0.0815507i \(-0.974013\pi\)
0.996669 0.0815507i \(-0.0259873\pi\)
\(368\) 0.608900 + 0.200047i 0.0317411 + 0.0104282i
\(369\) −9.89786 −0.515262
\(370\) −11.3964 21.0767i −0.592469 1.09573i
\(371\) 3.44653 + 3.44653i 0.178935 + 0.178935i
\(372\) 7.52124 5.44574i 0.389958 0.282349i
\(373\) −21.1651 21.1651i −1.09589 1.09589i −0.994886 0.101002i \(-0.967795\pi\)
−0.101002 0.994886i \(-0.532205\pi\)
\(374\) 4.27450 + 5.01308i 0.221029 + 0.259220i
\(375\) −11.0475 + 1.71850i −0.570489 + 0.0887429i
\(376\) 3.19894 13.1821i 0.164973 0.679813i
\(377\) 14.3749 0.740344
\(378\) −0.917672 1.07624i −0.0472000 0.0553556i
\(379\) 2.37189 2.37189i 0.121836 0.121836i −0.643560 0.765396i \(-0.722543\pi\)
0.765396 + 0.643560i \(0.222543\pi\)
\(380\) 13.6554 + 30.8826i 0.700506 + 1.58424i
\(381\) 4.09106 + 4.09106i 0.209591 + 0.209591i
\(382\) −13.8250 1.09942i −0.707350 0.0562513i
\(383\) 3.48238i 0.177942i 0.996034 + 0.0889708i \(0.0283578\pi\)
−0.996034 + 0.0889708i \(0.971642\pi\)
\(384\) 11.0160 2.57815i 0.562160 0.131566i
\(385\) −5.02900 + 3.25929i −0.256301 + 0.166109i
\(386\) 0.764775 9.61690i 0.0389260 0.489487i
\(387\) −7.23165 + 7.23165i −0.367605 + 0.367605i
\(388\) −1.21614 + 7.59799i −0.0617400 + 0.385730i
\(389\) 5.90261 5.90261i 0.299274 0.299274i −0.541455 0.840730i \(-0.682126\pi\)
0.840730 + 0.541455i \(0.182126\pi\)
\(390\) 3.39734 11.3965i 0.172031 0.577083i
\(391\) 0.278537i 0.0140862i
\(392\) 16.4913 + 4.00201i 0.832939 + 0.202132i
\(393\) 1.44111 0.0726944
\(394\) 20.1321 + 23.6106i 1.01424 + 1.18949i
\(395\) −12.5418 2.67791i −0.631046 0.134740i
\(396\) 3.14320 + 4.34114i 0.157952 + 0.218151i
\(397\) −9.12810 + 9.12810i −0.458126 + 0.458126i −0.898040 0.439914i \(-0.855009\pi\)
0.439914 + 0.898040i \(0.355009\pi\)
\(398\) 0.887968 11.1660i 0.0445098 0.559702i
\(399\) −7.55128 −0.378037
\(400\) 14.7943 + 13.4584i 0.739716 + 0.672919i
\(401\) −0.825205 −0.0412088 −0.0206044 0.999788i \(-0.506559\pi\)
−0.0206044 + 0.999788i \(0.506559\pi\)
\(402\) 1.43395 18.0317i 0.0715190 0.899338i
\(403\) −12.3461 + 12.3461i −0.615003 + 0.615003i
\(404\) 12.8504 9.30430i 0.639331 0.462906i
\(405\) −2.18678 0.466917i −0.108662 0.0232013i
\(406\) −3.50780 4.11390i −0.174089 0.204170i
\(407\) −20.3047 −1.00647
\(408\) 2.55875 + 4.19857i 0.126677 + 0.207860i
\(409\) 35.3312i 1.74702i −0.486809 0.873508i \(-0.661839\pi\)
0.486809 0.873508i \(-0.338161\pi\)
\(410\) −8.94175 + 29.9954i −0.441602 + 1.48137i
\(411\) 7.88963 7.88963i 0.389167 0.389167i
\(412\) −29.6186 4.74076i −1.45920 0.233561i
\(413\) 0.101740 0.101740i 0.00500628 0.00500628i
\(414\) −0.0179634 + 0.225886i −0.000882853 + 0.0111017i
\(415\) 5.43806 3.52441i 0.266944 0.173006i
\(416\) −19.6870 + 8.06052i −0.965233 + 0.395200i
\(417\) 22.5789i 1.10569i
\(418\) 28.5249 + 2.26842i 1.39520 + 0.110952i
\(419\) −11.7984 11.7984i −0.576392 0.576392i 0.357516 0.933907i \(-0.383624\pi\)
−0.933907 + 0.357516i \(0.883624\pi\)
\(420\) −4.09055 + 1.80872i −0.199598 + 0.0882566i
\(421\) 24.9466 24.9466i 1.21582 1.21582i 0.246739 0.969082i \(-0.420641\pi\)
0.969082 0.246739i \(-0.0793590\pi\)
\(422\) 13.2371 + 15.5243i 0.644372 + 0.755713i
\(423\) 4.79583 0.233181
\(424\) −7.17366 11.7710i −0.348384 0.571652i
\(425\) −3.54988 + 7.93383i −0.172195 + 0.384847i
\(426\) −4.22710 4.95749i −0.204804 0.240191i
\(427\) −6.01872 6.01872i −0.291266 0.291266i
\(428\) −2.03093 2.80496i −0.0981685 0.135583i
\(429\) −7.12598 7.12598i −0.344045 0.344045i
\(430\) 15.3824 + 28.4485i 0.741803 + 1.37191i
\(431\) 10.8925 0.524672 0.262336 0.964977i \(-0.415507\pi\)
0.262336 + 0.964977i \(0.415507\pi\)
\(432\) 1.80430 + 3.56994i 0.0868095 + 0.171759i
\(433\) 3.09561i 0.148765i −0.997230 0.0743827i \(-0.976301\pi\)
0.997230 0.0743827i \(-0.0236986\pi\)
\(434\) 6.54602 + 0.520566i 0.314219 + 0.0249880i
\(435\) −8.35894 1.78479i −0.400780 0.0855740i
\(436\) 8.81173 + 12.1701i 0.422005 + 0.582842i
\(437\) 0.855471 + 0.855471i 0.0409227 + 0.0409227i
\(438\) −13.1202 + 11.1872i −0.626906 + 0.534543i
\(439\) 26.4374i 1.26179i 0.775869 + 0.630894i \(0.217312\pi\)
−0.775869 + 0.630894i \(0.782688\pi\)
\(440\) 15.9954 5.60363i 0.762549 0.267142i
\(441\) 5.99980i 0.285705i
\(442\) −5.99848 7.03495i −0.285318 0.334618i
\(443\) −18.8131 18.8131i −0.893840 0.893840i 0.101042 0.994882i \(-0.467782\pi\)
−0.994882 + 0.101042i \(0.967782\pi\)
\(444\) −14.9635 2.39506i −0.710136 0.113665i
\(445\) 7.02178 32.8860i 0.332864 1.55895i
\(446\) −1.55485 + 19.5519i −0.0736241 + 0.925809i
\(447\) 20.5346i 0.971253i
\(448\) 7.11088 + 3.66721i 0.335957 + 0.173259i
\(449\) −16.9583 −0.800310 −0.400155 0.916447i \(-0.631044\pi\)
−0.400155 + 0.916447i \(0.631044\pi\)
\(450\) −3.39053 + 6.20519i −0.159831 + 0.292515i
\(451\) 18.7555 + 18.7555i 0.883161 + 0.883161i
\(452\) 3.33412 20.8304i 0.156824 0.979778i
\(453\) 10.4108 + 10.4108i 0.489140 + 0.489140i
\(454\) −27.2689 + 23.2513i −1.27979 + 1.09124i
\(455\) 7.05728 4.57383i 0.330851 0.214424i
\(456\) 20.7537 + 5.03637i 0.971881 + 0.235850i
\(457\) 5.71266 0.267227 0.133614 0.991034i \(-0.457342\pi\)
0.133614 + 0.991034i \(0.457342\pi\)
\(458\) 3.11047 2.65220i 0.145343 0.123929i
\(459\) −1.22921 + 1.22921i −0.0573744 + 0.0573744i
\(460\) 0.668318 + 0.258504i 0.0311605 + 0.0120528i
\(461\) −23.4428 23.4428i −1.09184 1.09184i −0.995332 0.0965077i \(-0.969233\pi\)
−0.0965077 0.995332i \(-0.530767\pi\)
\(462\) −0.300463 + 3.77826i −0.0139788 + 0.175781i
\(463\) 16.7093i 0.776547i −0.921544 0.388273i \(-0.873072\pi\)
0.921544 0.388273i \(-0.126928\pi\)
\(464\) 6.89693 + 13.6461i 0.320182 + 0.633504i
\(465\) 8.71210 5.64631i 0.404014 0.261841i
\(466\) −15.6602 1.24536i −0.725443 0.0576902i
\(467\) −14.3258 + 14.3258i −0.662918 + 0.662918i −0.956067 0.293149i \(-0.905297\pi\)
0.293149 + 0.956067i \(0.405297\pi\)
\(468\) −4.41091 6.09201i −0.203894 0.281603i
\(469\) 9.04522 9.04522i 0.417669 0.417669i
\(470\) 4.33257 14.5337i 0.199846 0.670391i
\(471\) 13.3604i 0.615617i
\(472\) −0.347474 + 0.211762i −0.0159938 + 0.00974716i
\(473\) 27.4065 1.26015
\(474\) −6.17190 + 5.26258i −0.283485 + 0.241719i
\(475\) 13.4644 + 35.2699i 0.617790 + 1.61829i
\(476\) −0.549547 + 3.43337i −0.0251884 + 0.157368i
\(477\) 3.44618 3.44618i 0.157790 0.157790i
\(478\) 26.9414 + 2.14249i 1.23227 + 0.0979951i
\(479\) 11.2464 0.513860 0.256930 0.966430i \(-0.417289\pi\)
0.256930 + 0.966430i \(0.417289\pi\)
\(480\) 12.4487 2.24282i 0.568202 0.102370i
\(481\) 28.4940 1.29922
\(482\) 8.38952 + 0.667169i 0.382132 + 0.0303887i
\(483\) −0.113311 + 0.113311i −0.00515584 + 0.00515584i
\(484\) −1.20708 + 7.54140i −0.0548673 + 0.342791i
\(485\) −1.79639 + 8.41330i −0.0815701 + 0.382028i
\(486\) −1.07613 + 0.917579i −0.0488141 + 0.0416222i
\(487\) 6.82860 0.309434 0.154717 0.987959i \(-0.450553\pi\)
0.154717 + 0.987959i \(0.450553\pi\)
\(488\) 12.5275 + 20.5559i 0.567091 + 0.930522i
\(489\) 10.8348i 0.489968i
\(490\) 18.1823 + 5.42023i 0.821393 + 0.244861i
\(491\) −26.3274 + 26.3274i −1.18814 + 1.18814i −0.210560 + 0.977581i \(0.567529\pi\)
−0.977581 + 0.210560i \(0.932471\pi\)
\(492\) 11.6094 + 16.0341i 0.523394 + 0.722872i
\(493\) −4.69863 + 4.69863i −0.211616 + 0.211616i
\(494\) −40.0295 3.18331i −1.80101 0.143224i
\(495\) 3.25896 + 5.02849i 0.146479 + 0.226014i
\(496\) −17.6437 5.79662i −0.792225 0.260276i
\(497\) 4.60726i 0.206664i
\(498\) 0.324903 4.08559i 0.0145592 0.183080i
\(499\) −16.9896 16.9896i −0.760558 0.760558i 0.215865 0.976423i \(-0.430743\pi\)
−0.976423 + 0.215865i \(0.930743\pi\)
\(500\) 15.7417 + 15.8807i 0.703992 + 0.710208i
\(501\) −10.1961 + 10.1961i −0.455528 + 0.455528i
\(502\) 31.7635 27.0838i 1.41768 1.20881i
\(503\) −12.7938 −0.570447 −0.285223 0.958461i \(-0.592068\pi\)
−0.285223 + 0.958461i \(0.592068\pi\)
\(504\) −0.667092 + 2.74893i −0.0297146 + 0.122447i
\(505\) 14.8850 9.64698i 0.662375 0.429285i
\(506\) 0.462071 0.393993i 0.0205416 0.0175151i
\(507\) 0.807626 + 0.807626i 0.0358679 + 0.0358679i
\(508\) 1.82882 11.4258i 0.0811408 0.506939i
\(509\) 15.4048 + 15.4048i 0.682807 + 0.682807i 0.960632 0.277825i \(-0.0896134\pi\)
−0.277825 + 0.960632i \(0.589613\pi\)
\(510\) 2.61463 + 4.83556i 0.115778 + 0.214122i
\(511\) −12.1933 −0.539398
\(512\) −17.0975 14.8215i −0.755608 0.655024i
\(513\) 7.55051i 0.333363i
\(514\) 1.04326 13.1188i 0.0460161 0.578643i
\(515\) −32.7968 7.00273i −1.44520 0.308577i
\(516\) 20.1971 + 3.23276i 0.889128 + 0.142314i
\(517\) −9.08763 9.08763i −0.399674 0.399674i
\(518\) −6.95318 8.15461i −0.305505 0.358293i
\(519\) 1.33300i 0.0585121i
\(520\) −22.4466 + 7.86367i −0.984348 + 0.344845i
\(521\) 2.66408i 0.116715i 0.998296 + 0.0583577i \(0.0185864\pi\)
−0.998296 + 0.0583577i \(0.981414\pi\)
\(522\) −4.11349 + 3.50744i −0.180042 + 0.153516i
\(523\) −10.1050 10.1050i −0.441861 0.441861i 0.450776 0.892637i \(-0.351147\pi\)
−0.892637 + 0.450776i \(0.851147\pi\)
\(524\) −1.69031 2.33453i −0.0738417 0.101985i
\(525\) −4.67167 + 1.78343i −0.203888 + 0.0778351i
\(526\) −28.3252 2.25254i −1.23504 0.0982154i
\(527\) 8.07099i 0.351578i
\(528\) 3.34572 10.1837i 0.145604 0.443187i
\(529\) −22.9743 −0.998884
\(530\) −7.33033 13.5569i −0.318409 0.588874i
\(531\) −0.101729 0.101729i −0.00441468 0.00441468i
\(532\) 8.85707 + 12.2327i 0.384003 + 0.530355i
\(533\) −26.3199 26.3199i −1.14004 1.14004i
\(534\) −13.7991 16.1834i −0.597145 0.700325i
\(535\) −2.10573 3.24907i −0.0910385 0.140470i
\(536\) −30.8924 + 18.8268i −1.33435 + 0.813196i
\(537\) 4.57907 0.197601
\(538\) −27.4383 32.1794i −1.18295 1.38735i
\(539\) 11.3690 11.3690i 0.489699 0.489699i
\(540\) 1.80854 + 4.09013i 0.0778271 + 0.176011i
\(541\) 14.4482 + 14.4482i 0.621177 + 0.621177i 0.945832 0.324656i \(-0.105248\pi\)
−0.324656 + 0.945832i \(0.605248\pi\)
\(542\) −30.2717 2.40733i −1.30028 0.103404i
\(543\) 18.5140i 0.794513i
\(544\) 3.80027 9.06965i 0.162935 0.388858i
\(545\) 9.13627 + 14.0970i 0.391355 + 0.603850i
\(546\) 0.421645 5.30210i 0.0180447 0.226909i
\(547\) −18.9410 + 18.9410i −0.809860 + 0.809860i −0.984612 0.174753i \(-0.944087\pi\)
0.174753 + 0.984612i \(0.444087\pi\)
\(548\) −22.0348 3.52689i −0.941278 0.150661i
\(549\) −6.01811 + 6.01811i −0.256847 + 0.256847i
\(550\) 18.1829 5.33351i 0.775323 0.227421i
\(551\) 28.8618i 1.22955i
\(552\) 0.386995 0.235848i 0.0164716 0.0100383i
\(553\) −5.73588 −0.243914
\(554\) −5.49566 6.44525i −0.233488 0.273833i
\(555\) −16.5691 3.53782i −0.703321 0.150172i
\(556\) 36.5767 26.4833i 1.55120 1.12314i
\(557\) 29.6116 29.6116i 1.25468 1.25468i 0.301086 0.953597i \(-0.402651\pi\)
0.953597 0.301086i \(-0.0973492\pi\)
\(558\) 0.520513 6.54535i 0.0220351 0.277087i
\(559\) −38.4601 −1.62669
\(560\) 7.72795 + 4.50500i 0.326565 + 0.190371i
\(561\) 4.65845 0.196680
\(562\) −1.52271 + 19.1477i −0.0642314 + 0.807698i
\(563\) 4.19738 4.19738i 0.176898 0.176898i −0.613104 0.790002i \(-0.710079\pi\)
0.790002 + 0.613104i \(0.210079\pi\)
\(564\) −5.62515 7.76903i −0.236862 0.327135i
\(565\) 4.92493 23.0656i 0.207193 0.970376i
\(566\) −20.6444 24.2115i −0.867747 1.01768i
\(567\) −1.00010 −0.0420003
\(568\) −3.07284 + 12.6625i −0.128934 + 0.531305i
\(569\) 41.7953i 1.75215i −0.482173 0.876076i \(-0.660152\pi\)
0.482173 0.876076i \(-0.339848\pi\)
\(570\) 22.8817 + 6.82115i 0.958410 + 0.285706i
\(571\) −10.7600 + 10.7600i −0.450290 + 0.450290i −0.895451 0.445160i \(-0.853147\pi\)
0.445160 + 0.895451i \(0.353147\pi\)
\(572\) −3.18552 + 19.9020i −0.133193 + 0.832144i
\(573\) −6.93433 + 6.93433i −0.289686 + 0.289686i
\(574\) −1.10976 + 13.9551i −0.0463206 + 0.582473i
\(575\) 0.731286 + 0.327204i 0.0304967 + 0.0136453i
\(576\) 3.66683 7.11016i 0.152785 0.296257i
\(577\) 10.6682i 0.444124i −0.975032 0.222062i \(-0.928721\pi\)
0.975032 0.222062i \(-0.0712788\pi\)
\(578\) −19.7058 1.56709i −0.819654 0.0651822i
\(579\) −4.82363 4.82363i −0.200463 0.200463i
\(580\) 6.91312 + 15.6345i 0.287052 + 0.649188i
\(581\) 2.04945 2.04945i 0.0850256 0.0850256i
\(582\) 3.53025 + 4.14024i 0.146334 + 0.171618i
\(583\) −13.0604 −0.540904
\(584\) 33.5116 + 8.13238i 1.38672 + 0.336520i
\(585\) −4.57336 7.05657i −0.189085 0.291753i
\(586\) −8.51018 9.98065i −0.351552 0.412297i
\(587\) 17.6711 + 17.6711i 0.729365 + 0.729365i 0.970493 0.241128i \(-0.0775175\pi\)
−0.241128 + 0.970493i \(0.577518\pi\)
\(588\) 9.71939 7.03731i 0.400821 0.290214i
\(589\) −24.7884 24.7884i −1.02139 1.02139i
\(590\) −0.400192 + 0.216387i −0.0164757 + 0.00890852i
\(591\) 21.9404 0.902507
\(592\) 13.6711 + 27.0494i 0.561881 + 1.11172i
\(593\) 4.79734i 0.197003i 0.995137 + 0.0985016i \(0.0314050\pi\)
−0.995137 + 0.0985016i \(0.968595\pi\)
\(594\) 3.77788 + 0.300432i 0.155008 + 0.0123269i
\(595\) −0.811752 + 3.80179i −0.0332786 + 0.155858i
\(596\) −33.2651 + 24.0855i −1.36259 + 0.986582i
\(597\) −5.60064 5.60064i −0.229219 0.229219i
\(598\) −0.648433 + 0.552898i −0.0265164 + 0.0226097i
\(599\) 1.03944i 0.0424705i 0.999775 + 0.0212353i \(0.00675991\pi\)
−0.999775 + 0.0212353i \(0.993240\pi\)
\(600\) 14.0289 1.78572i 0.572729 0.0729017i
\(601\) 6.22752i 0.254026i 0.991901 + 0.127013i \(0.0405390\pi\)
−0.991901 + 0.127013i \(0.959461\pi\)
\(602\) 9.38512 + 11.0068i 0.382509 + 0.448602i
\(603\) −9.04430 9.04430i −0.368312 0.368312i
\(604\) 4.65391 29.0760i 0.189365 1.18308i
\(605\) −1.78301 + 8.35063i −0.0724898 + 0.339501i
\(606\) 0.889321 11.1830i 0.0361262 0.454280i
\(607\) 25.3718i 1.02981i 0.857247 + 0.514905i \(0.172173\pi\)
−0.857247 + 0.514905i \(0.827827\pi\)
\(608\) −16.1838 39.5273i −0.656341 1.60304i
\(609\) −3.82288 −0.154911
\(610\) 12.8010 + 23.6746i 0.518299 + 0.958556i
\(611\) 12.7528 + 12.7528i 0.515925 + 0.515925i
\(612\) 3.43302 + 0.549491i 0.138772 + 0.0222119i
\(613\) −17.1175 17.1175i −0.691369 0.691369i 0.271164 0.962533i \(-0.412591\pi\)
−0.962533 + 0.271164i \(0.912591\pi\)
\(614\) 9.17058 7.81946i 0.370094 0.315568i
\(615\) 12.0370 + 18.5728i 0.485380 + 0.748927i
\(616\) 6.47302 3.94488i 0.260806 0.158944i
\(617\) 8.28793 0.333659 0.166830 0.985986i \(-0.446647\pi\)
0.166830 + 0.985986i \(0.446647\pi\)
\(618\) −16.1395 + 13.7617i −0.649227 + 0.553575i
\(619\) 2.23506 2.23506i 0.0898348 0.0898348i −0.660761 0.750596i \(-0.729766\pi\)
0.750596 + 0.660761i \(0.229766\pi\)
\(620\) −19.3654 7.49050i −0.777733 0.300826i
\(621\) 0.113300 + 0.113300i 0.00454656 + 0.00454656i
\(622\) 2.37422 29.8554i 0.0951977 1.19709i
\(623\) 15.0401i 0.602570i
\(624\) −4.69511 + 14.2909i −0.187955 + 0.572095i
\(625\) 16.6598 + 18.6401i 0.666391 + 0.745603i
\(626\) −6.06815 0.482564i −0.242532 0.0192872i
\(627\) 14.3075 14.3075i 0.571385 0.571385i
\(628\) −21.6433 + 15.6708i −0.863662 + 0.625333i
\(629\) −9.31367 + 9.31367i −0.371360 + 0.371360i
\(630\) −0.903494 + 3.03080i −0.0359961 + 0.120750i
\(631\) 17.2372i 0.686201i 0.939299 + 0.343100i \(0.111477\pi\)
−0.939299 + 0.343100i \(0.888523\pi\)
\(632\) 15.7643 + 3.82558i 0.627071 + 0.152173i
\(633\) 14.4261 0.573387
\(634\) 35.6609 30.4070i 1.41628 1.20761i
\(635\) 2.70141 12.6519i 0.107202 0.502074i
\(636\) −9.62476 1.54054i −0.381647 0.0610865i
\(637\) −15.9544 + 15.9544i −0.632135 + 0.632135i
\(638\) 14.4409 + 1.14840i 0.571721 + 0.0454656i
\(639\) −4.60679 −0.182242
\(640\) −18.2346 17.5356i −0.720787 0.693157i
\(641\) 24.8101 0.979941 0.489971 0.871739i \(-0.337007\pi\)
0.489971 + 0.871739i \(0.337007\pi\)
\(642\) −2.44101 0.194119i −0.0963391 0.00766128i
\(643\) 20.7142 20.7142i 0.816887 0.816887i −0.168769 0.985656i \(-0.553979\pi\)
0.985656 + 0.168769i \(0.0539792\pi\)
\(644\) 0.316464 + 0.0506534i 0.0124704 + 0.00199602i
\(645\) 22.3644 + 4.77521i 0.880596 + 0.188024i
\(646\) 14.1247 12.0437i 0.555729 0.473852i
\(647\) −14.3607 −0.564577 −0.282289 0.959330i \(-0.591094\pi\)
−0.282289 + 0.959330i \(0.591094\pi\)
\(648\) 2.74865 + 0.667024i 0.107977 + 0.0262032i
\(649\) 0.385534i 0.0151335i
\(650\) −25.5164 + 7.48461i −1.00084 + 0.293570i
\(651\) 3.28334 3.28334i 0.128684 0.128684i
\(652\) −17.5519 + 12.7084i −0.687386 + 0.497701i
\(653\) −8.23394 + 8.23394i −0.322219 + 0.322219i −0.849618 0.527399i \(-0.823167\pi\)
0.527399 + 0.849618i \(0.323167\pi\)
\(654\) 10.5910 + 0.842241i 0.414141 + 0.0329342i
\(655\) −1.75257 2.70416i −0.0684785 0.105660i
\(656\) 12.3575 37.6135i 0.482478 1.46856i
\(657\) 12.1920i 0.475656i
\(658\) 0.537716 6.76168i 0.0209624 0.263598i
\(659\) 32.8934 + 32.8934i 1.28134 + 1.28134i 0.939904 + 0.341440i \(0.110915\pi\)
0.341440 + 0.939904i \(0.389085\pi\)
\(660\) 4.32340 11.1774i 0.168288 0.435080i
\(661\) −15.8937 + 15.8937i −0.618193 + 0.618193i −0.945068 0.326875i \(-0.894004\pi\)
0.326875 + 0.945068i \(0.394004\pi\)
\(662\) −7.66728 + 6.53765i −0.297997 + 0.254093i
\(663\) −6.53729 −0.253887
\(664\) −6.99955 + 4.26576i −0.271635 + 0.165544i
\(665\) 9.18328 + 14.1695i 0.356113 + 0.549471i
\(666\) −8.15379 + 6.95248i −0.315953 + 0.269403i
\(667\) 0.433087 + 0.433087i 0.0167692 + 0.0167692i
\(668\) 28.4765 + 4.55796i 1.10179 + 0.176353i
\(669\) 9.80681 + 9.80681i 0.379153 + 0.379153i
\(670\) −35.5793 + 19.2380i −1.37455 + 0.743229i
\(671\) 22.8075 0.880472
\(672\) 5.23559 2.14363i 0.201967 0.0826922i
\(673\) 1.87365i 0.0722238i 0.999348 + 0.0361119i \(0.0114973\pi\)
−0.999348 + 0.0361119i \(0.988503\pi\)
\(674\) −1.29666 + 16.3052i −0.0499454 + 0.628054i
\(675\) 1.78325 + 4.67119i 0.0686372 + 0.179794i
\(676\) 0.361032 2.25560i 0.0138859 0.0867538i
\(677\) 27.7045 + 27.7045i 1.06477 + 1.06477i 0.997752 + 0.0670200i \(0.0213491\pi\)
0.0670200 + 0.997752i \(0.478651\pi\)
\(678\) −9.67840 11.3507i −0.371697 0.435922i
\(679\) 3.84774i 0.147663i
\(680\) 4.76663 9.90732i 0.182792 0.379929i
\(681\) 25.3399i 0.971026i
\(682\) −13.3891 + 11.4165i −0.512696 + 0.437160i
\(683\) 15.9666 + 15.9666i 0.610945 + 0.610945i 0.943192 0.332247i \(-0.107807\pi\)
−0.332247 + 0.943192i \(0.607807\pi\)
\(684\) 12.2315 8.85617i 0.467682 0.338624i
\(685\) −24.3992 5.20968i −0.932246 0.199052i
\(686\) 18.3285 + 1.45756i 0.699785 + 0.0556498i
\(687\) 2.89043i 0.110277i
\(688\) −18.4528 36.5102i −0.703505 1.39194i
\(689\) 18.3278 0.698235
\(690\) 0.445709 0.240998i 0.0169678 0.00917465i
\(691\) −8.47128 8.47128i −0.322263 0.322263i 0.527372 0.849635i \(-0.323177\pi\)
−0.849635 + 0.527372i \(0.823177\pi\)
\(692\) 2.15940 1.56351i 0.0820879 0.0594356i
\(693\) 1.89509 + 1.89509i 0.0719887 + 0.0719887i
\(694\) 2.12953 + 2.49749i 0.0808358 + 0.0948034i
\(695\) 42.3680 27.4587i 1.60711 1.04157i
\(696\) 10.5067 + 2.54970i 0.398255 + 0.0966460i
\(697\) 17.2061 0.651726
\(698\) −17.9403 21.0402i −0.679050 0.796382i
\(699\) −7.85480 + 7.85480i −0.297096 + 0.297096i
\(700\) 8.36858 + 5.47606i 0.316303 + 0.206975i
\(701\) 12.7252 + 12.7252i 0.480624 + 0.480624i 0.905331 0.424707i \(-0.139623\pi\)
−0.424707 + 0.905331i \(0.639623\pi\)
\(702\) −5.30156 0.421602i −0.200095 0.0159123i
\(703\) 57.2100i 2.15772i
\(704\) −20.4213 + 6.52476i −0.769658 + 0.245911i
\(705\) −5.83233 8.99912i −0.219658 0.338926i
\(706\) 0.415358 5.22305i 0.0156322 0.196572i
\(707\) 5.60974 5.60974i 0.210976 0.210976i
\(708\) −0.0454760 + 0.284118i −0.00170909 + 0.0106778i
\(709\) −5.12731 + 5.12731i −0.192560 + 0.192560i −0.796801 0.604241i \(-0.793476\pi\)
0.604241 + 0.796801i \(0.293476\pi\)
\(710\) −4.16179 + 13.9608i −0.156189 + 0.523941i
\(711\) 5.73529i 0.215090i
\(712\) −10.0311 + 41.3358i −0.375932 + 1.54913i
\(713\) −0.743928 −0.0278603
\(714\) 1.59524 + 1.87089i 0.0597005 + 0.0700161i
\(715\) −4.70543 + 22.0376i −0.175973 + 0.824158i
\(716\) −5.37090 7.41787i −0.200720 0.277219i
\(717\) 13.5132 13.5132i 0.504660 0.504660i
\(718\) −1.45376 + 18.2808i −0.0542540 + 0.682233i
\(719\) 7.22269 0.269361 0.134681 0.990889i \(-0.456999\pi\)
0.134681 + 0.990889i \(0.456999\pi\)
\(720\) 4.50455 7.72716i 0.167875 0.287974i
\(721\) −14.9993 −0.558604
\(722\) 4.26133 53.5853i 0.158590 1.99424i
\(723\) 4.20801 4.20801i 0.156497 0.156497i
\(724\) −29.9919 + 21.7155i −1.11464 + 0.807052i
\(725\) 6.81645 + 17.8556i 0.253156 + 0.663140i
\(726\) 3.50395 + 4.10940i 0.130044 + 0.152514i
\(727\) 50.4488 1.87104 0.935522 0.353268i \(-0.114930\pi\)
0.935522 + 0.353268i \(0.114930\pi\)
\(728\) −9.08371 + 5.53592i −0.336665 + 0.205175i
\(729\) 1.00000i 0.0370370i
\(730\) 36.9478 + 11.0143i 1.36750 + 0.407658i
\(731\) 12.5712 12.5712i 0.464963 0.464963i
\(732\) 16.8078 + 2.69027i 0.621236 + 0.0994353i
\(733\) 9.19912 9.19912i 0.339777 0.339777i −0.516506 0.856283i \(-0.672768\pi\)
0.856283 + 0.516506i \(0.172768\pi\)
\(734\) −0.350296 + 4.40491i −0.0129297 + 0.162588i
\(735\) 11.2583 7.29650i 0.415268 0.269135i
\(736\) −0.835978 0.350282i −0.0308146 0.0129116i
\(737\) 34.2761i 1.26258i
\(738\) 13.9536 + 1.10965i 0.513641 + 0.0408468i
\(739\) 5.53064 + 5.53064i 0.203448 + 0.203448i 0.801476 0.598028i \(-0.204049\pi\)
−0.598028 + 0.801476i \(0.704049\pi\)
\(740\) 13.7033 + 30.9908i 0.503742 + 1.13925i
\(741\) −20.0779 + 20.0779i −0.737581 + 0.737581i
\(742\) −4.47240 5.24518i −0.164187 0.192557i
\(743\) 7.49683 0.275032 0.137516 0.990500i \(-0.456088\pi\)
0.137516 + 0.990500i \(0.456088\pi\)
\(744\) −11.2137 + 6.83400i −0.411114 + 0.250546i
\(745\) −38.5320 + 24.9726i −1.41170 + 0.914926i
\(746\) 27.4650 + 32.2106i 1.00556 + 1.17931i
\(747\) −2.04924 2.04924i −0.0749779 0.0749779i
\(748\) −5.46401 7.54647i −0.199784 0.275926i
\(749\) −1.22448 1.22448i −0.0447417 0.0447417i
\(750\) 15.7670 1.18414i 0.575729 0.0432388i
\(751\) 8.92232 0.325580 0.162790 0.986661i \(-0.447951\pi\)
0.162790 + 0.986661i \(0.447951\pi\)
\(752\) −5.98759 + 18.2250i −0.218345 + 0.664596i
\(753\) 29.5166i 1.07564i
\(754\) −20.2652 1.61157i −0.738015 0.0586899i
\(755\) 6.87444 32.1960i 0.250186 1.17173i
\(756\) 1.17304 + 1.62012i 0.0426632 + 0.0589231i
\(757\) 7.26524 + 7.26524i 0.264060 + 0.264060i 0.826701 0.562641i \(-0.190215\pi\)
−0.562641 + 0.826701i \(0.690215\pi\)
\(758\) −3.60971 + 3.07788i −0.131111 + 0.111794i
\(759\) 0.429384i 0.0155856i
\(760\) −15.7886 45.0680i −0.572713 1.63479i
\(761\) 21.6817i 0.785963i −0.919546 0.392981i \(-0.871444\pi\)
0.919546 0.392981i \(-0.128556\pi\)
\(762\) −5.30877 6.22607i −0.192316 0.225547i
\(763\) 5.31276 + 5.31276i 0.192335 + 0.192335i
\(764\) 19.3667 + 3.09985i 0.700664 + 0.112149i
\(765\) 3.80140 + 0.811670i 0.137440 + 0.0293460i
\(766\) 0.390410 4.90934i 0.0141061 0.177382i
\(767\) 0.541027i 0.0195354i
\(768\) −15.8190 + 2.39958i −0.570820 + 0.0865872i
\(769\) 0.339883 0.0122565 0.00612824 0.999981i \(-0.498049\pi\)
0.00612824 + 0.999981i \(0.498049\pi\)
\(770\) 7.45509 4.03103i 0.268663 0.145268i
\(771\) −6.58009 6.58009i −0.236976 0.236976i
\(772\) −2.15630 + 13.4718i −0.0776071 + 0.484861i
\(773\) 30.8536 + 30.8536i 1.10973 + 1.10973i 0.993186 + 0.116541i \(0.0371806\pi\)
0.116541 + 0.993186i \(0.462819\pi\)
\(774\) 11.0057 9.38417i 0.395590 0.337307i
\(775\) −21.1900 9.48115i −0.761167 0.340573i
\(776\) 2.56628 10.5750i 0.0921240 0.379621i