Properties

Label 546.2.q.i.251.2
Level $546$
Weight $2$
Character 546.251
Analytic conductor $4.360$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.q (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 251.2
Character \(\chi\) \(=\) 546.251
Dual form 546.2.q.i.335.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.65284 + 0.517794i) q^{3} +(-0.500000 - 0.866025i) q^{4} -0.188901i q^{5} +(0.377999 - 1.69030i) q^{6} +(-1.93422 + 1.80522i) q^{7} +1.00000 q^{8} +(2.46378 - 1.71166i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.65284 + 0.517794i) q^{3} +(-0.500000 - 0.866025i) q^{4} -0.188901i q^{5} +(0.377999 - 1.69030i) q^{6} +(-1.93422 + 1.80522i) q^{7} +1.00000 q^{8} +(2.46378 - 1.71166i) q^{9} +(0.163593 + 0.0944507i) q^{10} +(2.99275 - 5.18359i) q^{11} +(1.27484 + 1.17251i) q^{12} +(-3.59703 - 0.247790i) q^{13} +(-0.596256 - 2.57769i) q^{14} +(0.0978120 + 0.312224i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.16244 + 3.74546i) q^{17} +(0.250454 + 2.98953i) q^{18} +(-2.70943 - 4.69287i) q^{19} +(-0.163593 + 0.0944507i) q^{20} +(2.26223 - 3.98526i) q^{21} +(2.99275 + 5.18359i) q^{22} +(2.12062 + 1.22434i) q^{23} +(-1.65284 + 0.517794i) q^{24} +4.96432 q^{25} +(2.01311 - 2.99122i) q^{26} +(-3.18595 + 4.10484i) q^{27} +(2.53047 + 0.772472i) q^{28} +(5.72445 + 3.30501i) q^{29} +(-0.319300 - 0.0714045i) q^{30} +7.73989 q^{31} +(-0.500000 - 0.866025i) q^{32} +(-2.26251 + 10.1173i) q^{33} -4.32488 q^{34} +(0.341008 + 0.365376i) q^{35} +(-2.71423 - 1.27786i) q^{36} +(1.21090 + 0.699114i) q^{37} +5.41886 q^{38} +(6.07362 - 1.45296i) q^{39} -0.188901i q^{40} +(7.23531 + 4.17731i) q^{41} +(2.32023 + 3.95178i) q^{42} +(-2.00968 - 3.48087i) q^{43} -5.98549 q^{44} +(-0.323336 - 0.465411i) q^{45} +(-2.12062 + 1.22434i) q^{46} -3.00234i q^{47} +(0.377999 - 1.69030i) q^{48} +(0.482384 - 6.98336i) q^{49} +(-2.48216 + 4.29922i) q^{50} +(-5.51355 - 5.07095i) q^{51} +(1.58392 + 3.23901i) q^{52} +0.440865i q^{53} +(-1.96192 - 4.81154i) q^{54} +(-0.979187 - 0.565334i) q^{55} +(-1.93422 + 1.80522i) q^{56} +(6.90820 + 6.35365i) q^{57} +(-5.72445 + 3.30501i) q^{58} +(1.61004 - 0.929559i) q^{59} +(0.221488 - 0.240820i) q^{60} +(-1.69169 + 0.976699i) q^{61} +(-3.86995 + 6.70294i) q^{62} +(-1.67556 + 7.75838i) q^{63} +1.00000 q^{64} +(-0.0468079 + 0.679483i) q^{65} +(-7.63057 - 7.01803i) q^{66} +(9.40246 + 5.42851i) q^{67} +(2.16244 - 3.74546i) q^{68} +(-4.13902 - 0.925601i) q^{69} +(-0.486929 + 0.112634i) q^{70} +(-1.71090 - 2.96337i) q^{71} +(2.46378 - 1.71166i) q^{72} +7.64136 q^{73} +(-1.21090 + 0.699114i) q^{74} +(-8.20523 + 2.57049i) q^{75} +(-2.70943 + 4.69287i) q^{76} +(3.56888 + 15.4287i) q^{77} +(-1.77851 + 5.98639i) q^{78} -12.8725 q^{79} +(0.163593 + 0.0944507i) q^{80} +(3.14042 - 8.43432i) q^{81} +(-7.23531 + 4.17731i) q^{82} -16.1727i q^{83} +(-4.58245 + 0.0334879i) q^{84} +(0.707522 - 0.408488i) q^{85} +4.01936 q^{86} +(-11.1729 - 2.49858i) q^{87} +(2.99275 - 5.18359i) q^{88} +(12.3724 + 7.14320i) q^{89} +(0.564726 - 0.0473112i) q^{90} +(7.40474 - 6.01413i) q^{91} -2.44869i q^{92} +(-12.7928 + 4.00767i) q^{93} +(2.60010 + 1.50117i) q^{94} +(-0.886490 + 0.511815i) q^{95} +(1.27484 + 1.17251i) q^{96} +(-8.15789 - 14.1299i) q^{97} +(5.80657 + 3.90944i) q^{98} +(-1.49909 - 17.8938i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - 12 q^{2} - 12 q^{4} - 18 q^{7} + 24 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - 12 q^{2} - 12 q^{4} - 18 q^{7} + 24 q^{8} - 12 q^{9} + 6 q^{15} - 12 q^{16} + 6 q^{18} - 12 q^{21} + 36 q^{23} - 12 q^{25} + 18 q^{28} - 12 q^{30} - 12 q^{32} + 36 q^{35} + 6 q^{36} + 36 q^{37} + 12 q^{39} + 24 q^{42} - 42 q^{43} - 36 q^{46} + 6 q^{50} + 12 q^{51} - 18 q^{56} + 36 q^{57} + 6 q^{60} + 24 q^{63} + 24 q^{64} - 66 q^{65} - 54 q^{67} - 48 q^{71} - 12 q^{72} - 36 q^{74} - 42 q^{78} - 48 q^{79} + 84 q^{81} - 12 q^{84} + 84 q^{86} + 36 q^{91} - 18 q^{93} + 36 q^{95} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −1.65284 + 0.517794i −0.954269 + 0.298948i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.188901i 0.0844793i −0.999108 0.0422396i \(-0.986551\pi\)
0.999108 0.0422396i \(-0.0134493\pi\)
\(6\) 0.377999 1.69030i 0.154317 0.690062i
\(7\) −1.93422 + 1.80522i −0.731065 + 0.682308i
\(8\) 1.00000 0.353553
\(9\) 2.46378 1.71166i 0.821260 0.570554i
\(10\) 0.163593 + 0.0944507i 0.0517328 + 0.0298679i
\(11\) 2.99275 5.18359i 0.902347 1.56291i 0.0779069 0.996961i \(-0.475176\pi\)
0.824440 0.565950i \(-0.191490\pi\)
\(12\) 1.27484 + 1.17251i 0.368016 + 0.338474i
\(13\) −3.59703 0.247790i −0.997636 0.0687246i
\(14\) −0.596256 2.57769i −0.159356 0.688916i
\(15\) 0.0978120 + 0.312224i 0.0252549 + 0.0806160i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.16244 + 3.74546i 0.524469 + 0.908407i 0.999594 + 0.0284885i \(0.00906940\pi\)
−0.475125 + 0.879918i \(0.657597\pi\)
\(18\) 0.250454 + 2.98953i 0.0590326 + 0.704638i
\(19\) −2.70943 4.69287i −0.621586 1.07662i −0.989190 0.146636i \(-0.953155\pi\)
0.367605 0.929982i \(-0.380178\pi\)
\(20\) −0.163593 + 0.0944507i −0.0365806 + 0.0211198i
\(21\) 2.26223 3.98526i 0.493658 0.869656i
\(22\) 2.99275 + 5.18359i 0.638055 + 1.10514i
\(23\) 2.12062 + 1.22434i 0.442181 + 0.255293i 0.704522 0.709682i \(-0.251161\pi\)
−0.262342 + 0.964975i \(0.584495\pi\)
\(24\) −1.65284 + 0.517794i −0.337385 + 0.105694i
\(25\) 4.96432 0.992863
\(26\) 2.01311 2.99122i 0.394802 0.586627i
\(27\) −3.18595 + 4.10484i −0.613137 + 0.789977i
\(28\) 2.53047 + 0.772472i 0.478214 + 0.145983i
\(29\) 5.72445 + 3.30501i 1.06300 + 0.613725i 0.926262 0.376881i \(-0.123004\pi\)
0.136742 + 0.990607i \(0.456337\pi\)
\(30\) −0.319300 0.0714045i −0.0582960 0.0130366i
\(31\) 7.73989 1.39013 0.695063 0.718949i \(-0.255376\pi\)
0.695063 + 0.718949i \(0.255376\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −2.26251 + 10.1173i −0.393852 + 1.76119i
\(34\) −4.32488 −0.741711
\(35\) 0.341008 + 0.365376i 0.0576409 + 0.0617598i
\(36\) −2.71423 1.27786i −0.452372 0.212977i
\(37\) 1.21090 + 0.699114i 0.199071 + 0.114934i 0.596222 0.802820i \(-0.296668\pi\)
−0.397151 + 0.917753i \(0.630001\pi\)
\(38\) 5.41886 0.879055
\(39\) 6.07362 1.45296i 0.972558 0.232660i
\(40\) 0.188901i 0.0298679i
\(41\) 7.23531 + 4.17731i 1.12996 + 0.652386i 0.943926 0.330157i \(-0.107102\pi\)
0.186039 + 0.982542i \(0.440435\pi\)
\(42\) 2.32023 + 3.95178i 0.358019 + 0.609772i
\(43\) −2.00968 3.48087i −0.306473 0.530827i 0.671115 0.741353i \(-0.265816\pi\)
−0.977588 + 0.210526i \(0.932482\pi\)
\(44\) −5.98549 −0.902347
\(45\) −0.323336 0.465411i −0.0482000 0.0693794i
\(46\) −2.12062 + 1.22434i −0.312669 + 0.180520i
\(47\) 3.00234i 0.437936i −0.975732 0.218968i \(-0.929731\pi\)
0.975732 0.218968i \(-0.0702691\pi\)
\(48\) 0.377999 1.69030i 0.0545594 0.243974i
\(49\) 0.482384 6.98336i 0.0689119 0.997623i
\(50\) −2.48216 + 4.29922i −0.351030 + 0.608002i
\(51\) −5.51355 5.07095i −0.772051 0.710076i
\(52\) 1.58392 + 3.23901i 0.219650 + 0.449170i
\(53\) 0.440865i 0.0605574i 0.999541 + 0.0302787i \(0.00963949\pi\)
−0.999541 + 0.0302787i \(0.990361\pi\)
\(54\) −1.96192 4.81154i −0.266983 0.654767i
\(55\) −0.979187 0.565334i −0.132034 0.0762296i
\(56\) −1.93422 + 1.80522i −0.258470 + 0.241232i
\(57\) 6.90820 + 6.35365i 0.915014 + 0.841562i
\(58\) −5.72445 + 3.30501i −0.751657 + 0.433969i
\(59\) 1.61004 0.929559i 0.209610 0.121018i −0.391520 0.920170i \(-0.628051\pi\)
0.601130 + 0.799151i \(0.294717\pi\)
\(60\) 0.221488 0.240820i 0.0285940 0.0310897i
\(61\) −1.69169 + 0.976699i −0.216599 + 0.125053i −0.604374 0.796700i \(-0.706577\pi\)
0.387776 + 0.921754i \(0.373244\pi\)
\(62\) −3.86995 + 6.70294i −0.491484 + 0.851275i
\(63\) −1.67556 + 7.75838i −0.211100 + 0.977464i
\(64\) 1.00000 0.125000
\(65\) −0.0468079 + 0.679483i −0.00580580 + 0.0842795i
\(66\) −7.63057 7.01803i −0.939258 0.863860i
\(67\) 9.40246 + 5.42851i 1.14869 + 0.663199i 0.948569 0.316572i \(-0.102532\pi\)
0.200125 + 0.979770i \(0.435865\pi\)
\(68\) 2.16244 3.74546i 0.262234 0.454203i
\(69\) −4.13902 0.925601i −0.498279 0.111429i
\(70\) −0.486929 + 0.112634i −0.0581992 + 0.0134623i
\(71\) −1.71090 2.96337i −0.203047 0.351687i 0.746462 0.665428i \(-0.231751\pi\)
−0.949509 + 0.313741i \(0.898418\pi\)
\(72\) 2.46378 1.71166i 0.290359 0.201721i
\(73\) 7.64136 0.894354 0.447177 0.894446i \(-0.352429\pi\)
0.447177 + 0.894446i \(0.352429\pi\)
\(74\) −1.21090 + 0.699114i −0.140764 + 0.0812704i
\(75\) −8.20523 + 2.57049i −0.947459 + 0.296815i
\(76\) −2.70943 + 4.69287i −0.310793 + 0.538309i
\(77\) 3.56888 + 15.4287i 0.406712 + 1.75827i
\(78\) −1.77851 + 5.98639i −0.201377 + 0.677825i
\(79\) −12.8725 −1.44827 −0.724136 0.689658i \(-0.757761\pi\)
−0.724136 + 0.689658i \(0.757761\pi\)
\(80\) 0.163593 + 0.0944507i 0.0182903 + 0.0105599i
\(81\) 3.14042 8.43432i 0.348935 0.937147i
\(82\) −7.23531 + 4.17731i −0.799006 + 0.461306i
\(83\) 16.1727i 1.77518i −0.460633 0.887591i \(-0.652377\pi\)
0.460633 0.887591i \(-0.347623\pi\)
\(84\) −4.58245 + 0.0334879i −0.499987 + 0.00365383i
\(85\) 0.707522 0.408488i 0.0767415 0.0443067i
\(86\) 4.01936 0.433418
\(87\) −11.1729 2.49858i −1.19786 0.267876i
\(88\) 2.99275 5.18359i 0.319028 0.552572i
\(89\) 12.3724 + 7.14320i 1.31147 + 0.757178i 0.982340 0.187107i \(-0.0599110\pi\)
0.329131 + 0.944284i \(0.393244\pi\)
\(90\) 0.564726 0.0473112i 0.0595273 0.00498703i
\(91\) 7.40474 6.01413i 0.776228 0.630453i
\(92\) 2.44869i 0.255293i
\(93\) −12.7928 + 4.00767i −1.32655 + 0.415576i
\(94\) 2.60010 + 1.50117i 0.268180 + 0.154834i
\(95\) −0.886490 + 0.511815i −0.0909519 + 0.0525111i
\(96\) 1.27484 + 1.17251i 0.130113 + 0.119669i
\(97\) −8.15789 14.1299i −0.828308 1.43467i −0.899364 0.437200i \(-0.855970\pi\)
0.0710561 0.997472i \(-0.477363\pi\)
\(98\) 5.80657 + 3.90944i 0.586553 + 0.394913i
\(99\) −1.49909 17.8938i −0.150664 1.79839i
\(100\) −2.48216 4.29922i −0.248216 0.429922i
\(101\) 2.57737 4.46413i 0.256458 0.444198i −0.708833 0.705377i \(-0.750778\pi\)
0.965290 + 0.261179i \(0.0841113\pi\)
\(102\) 7.14835 2.23940i 0.707792 0.221733i
\(103\) 0.491580i 0.0484368i 0.999707 + 0.0242184i \(0.00770971\pi\)
−0.999707 + 0.0242184i \(0.992290\pi\)
\(104\) −3.59703 0.247790i −0.352717 0.0242978i
\(105\) −0.752822 0.427338i −0.0734679 0.0417039i
\(106\) −0.381800 0.220432i −0.0370837 0.0214103i
\(107\) −10.1467 5.85821i −0.980920 0.566334i −0.0783719 0.996924i \(-0.524972\pi\)
−0.902548 + 0.430590i \(0.858306\pi\)
\(108\) 5.14787 + 0.706695i 0.495354 + 0.0680018i
\(109\) 2.68217i 0.256905i 0.991716 + 0.128453i \(0.0410010\pi\)
−0.991716 + 0.128453i \(0.958999\pi\)
\(110\) 0.979187 0.565334i 0.0933618 0.0539025i
\(111\) −2.36343 0.528529i −0.224326 0.0501657i
\(112\) −0.596256 2.57769i −0.0563409 0.243569i
\(113\) 2.91954 1.68560i 0.274647 0.158567i −0.356351 0.934352i \(-0.615979\pi\)
0.630998 + 0.775785i \(0.282646\pi\)
\(114\) −8.95652 + 2.80585i −0.838855 + 0.262792i
\(115\) 0.231280 0.400589i 0.0215670 0.0373551i
\(116\) 6.61002i 0.613725i
\(117\) −9.28641 + 5.54640i −0.858529 + 0.512765i
\(118\) 1.85912i 0.171146i
\(119\) −10.9440 3.34085i −1.00323 0.306255i
\(120\) 0.0978120 + 0.312224i 0.00892897 + 0.0285021i
\(121\) −12.4130 21.5000i −1.12846 1.95455i
\(122\) 1.95340i 0.176852i
\(123\) −14.1218 3.15803i −1.27332 0.284750i
\(124\) −3.86995 6.70294i −0.347531 0.601942i
\(125\) 1.88227i 0.168356i
\(126\) −5.88118 5.33027i −0.523937 0.474858i
\(127\) 1.88905 3.27194i 0.167626 0.290338i −0.769958 0.638094i \(-0.779723\pi\)
0.937585 + 0.347756i \(0.113056\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 5.12405 + 4.71273i 0.451148 + 0.414932i
\(130\) −0.565046 0.380279i −0.0495578 0.0333526i
\(131\) 11.3072 0.987918 0.493959 0.869485i \(-0.335549\pi\)
0.493959 + 0.869485i \(0.335549\pi\)
\(132\) 9.89308 3.09925i 0.861082 0.269755i
\(133\) 13.7123 + 4.18592i 1.18900 + 0.362965i
\(134\) −9.40246 + 5.42851i −0.812249 + 0.468952i
\(135\) 0.775410 + 0.601831i 0.0667367 + 0.0517973i
\(136\) 2.16244 + 3.74546i 0.185428 + 0.321170i
\(137\) −3.33395 5.77457i −0.284839 0.493355i 0.687732 0.725965i \(-0.258607\pi\)
−0.972570 + 0.232610i \(0.925273\pi\)
\(138\) 2.87110 3.12169i 0.244404 0.265736i
\(139\) −1.01358 + 0.585188i −0.0859704 + 0.0496350i −0.542369 0.840140i \(-0.682472\pi\)
0.456399 + 0.889775i \(0.349139\pi\)
\(140\) 0.145921 0.478010i 0.0123326 0.0403992i
\(141\) 1.55459 + 4.96240i 0.130920 + 0.417909i
\(142\) 3.42180 0.287151
\(143\) −12.0494 + 17.9039i −1.00762 + 1.49720i
\(144\) 0.250454 + 2.98953i 0.0208712 + 0.249127i
\(145\) 0.624321 1.08136i 0.0518471 0.0898018i
\(146\) −3.82068 + 6.61761i −0.316202 + 0.547678i
\(147\) 2.81864 + 11.7922i 0.232477 + 0.972602i
\(148\) 1.39823i 0.114934i
\(149\) 2.76256 + 4.78489i 0.226317 + 0.391993i 0.956714 0.291030i \(-0.0939980\pi\)
−0.730396 + 0.683023i \(0.760665\pi\)
\(150\) 1.87651 8.39119i 0.153216 0.685138i
\(151\) 13.2681i 1.07974i 0.841748 + 0.539871i \(0.181527\pi\)
−0.841748 + 0.539871i \(0.818473\pi\)
\(152\) −2.70943 4.69287i −0.219764 0.380642i
\(153\) 11.7387 + 5.52661i 0.949021 + 0.446800i
\(154\) −15.1461 4.62362i −1.22051 0.372582i
\(155\) 1.46208i 0.117437i
\(156\) −4.29511 4.53343i −0.343884 0.362965i
\(157\) 16.0563i 1.28143i −0.767777 0.640717i \(-0.778637\pi\)
0.767777 0.640717i \(-0.221363\pi\)
\(158\) 6.43626 11.1479i 0.512041 0.886881i
\(159\) −0.228277 0.728680i −0.0181035 0.0577881i
\(160\) −0.163593 + 0.0944507i −0.0129332 + 0.00746698i
\(161\) −6.31195 + 1.46004i −0.497451 + 0.115067i
\(162\) 5.73413 + 6.93684i 0.450516 + 0.545010i
\(163\) −3.26377 + 1.88434i −0.255638 + 0.147593i −0.622343 0.782744i \(-0.713819\pi\)
0.366705 + 0.930337i \(0.380486\pi\)
\(164\) 8.35461i 0.652386i
\(165\) 1.91117 + 0.427391i 0.148784 + 0.0332724i
\(166\) 14.0059 + 8.08634i 1.08707 + 0.627622i
\(167\) 17.4109 + 10.0522i 1.34730 + 0.777862i 0.987866 0.155309i \(-0.0496374\pi\)
0.359431 + 0.933172i \(0.382971\pi\)
\(168\) 2.26223 3.98526i 0.174534 0.307470i
\(169\) 12.8772 + 1.78261i 0.990554 + 0.137124i
\(170\) 0.816976i 0.0626592i
\(171\) −14.7081 6.92457i −1.12475 0.529535i
\(172\) −2.00968 + 3.48087i −0.153237 + 0.265414i
\(173\) −8.26915 14.3226i −0.628692 1.08893i −0.987815 0.155636i \(-0.950257\pi\)
0.359123 0.933290i \(-0.383076\pi\)
\(174\) 7.75030 8.42675i 0.587549 0.638830i
\(175\) −9.60206 + 8.96167i −0.725848 + 0.677438i
\(176\) 2.99275 + 5.18359i 0.225587 + 0.390728i
\(177\) −2.17983 + 2.37009i −0.163846 + 0.178147i
\(178\) −12.3724 + 7.14320i −0.927350 + 0.535406i
\(179\) 12.0538 + 6.95929i 0.900946 + 0.520162i 0.877507 0.479564i \(-0.159205\pi\)
0.0234391 + 0.999725i \(0.492538\pi\)
\(180\) −0.241390 + 0.512723i −0.0179922 + 0.0382161i
\(181\) 19.5377i 1.45222i 0.687576 + 0.726112i \(0.258675\pi\)
−0.687576 + 0.726112i \(0.741325\pi\)
\(182\) 1.50602 + 9.41976i 0.111634 + 0.698239i
\(183\) 2.29037 2.49028i 0.169309 0.184087i
\(184\) 2.12062 + 1.22434i 0.156334 + 0.0902598i
\(185\) 0.132064 0.228741i 0.00970951 0.0168174i
\(186\) 2.92567 13.0827i 0.214521 0.959274i
\(187\) 25.8865 1.89301
\(188\) −2.60010 + 1.50117i −0.189632 + 0.109484i
\(189\) −1.24781 13.6910i −0.0907647 0.995872i
\(190\) 1.02363i 0.0742620i
\(191\) −7.34535 + 4.24084i −0.531491 + 0.306856i −0.741623 0.670817i \(-0.765944\pi\)
0.210133 + 0.977673i \(0.432610\pi\)
\(192\) −1.65284 + 0.517794i −0.119284 + 0.0373685i
\(193\) 0.941626 + 0.543648i 0.0677797 + 0.0391327i 0.533507 0.845796i \(-0.320874\pi\)
−0.465727 + 0.884928i \(0.654207\pi\)
\(194\) 16.3158 1.17140
\(195\) −0.274466 1.14732i −0.0196549 0.0821610i
\(196\) −6.28896 + 3.07392i −0.449211 + 0.219566i
\(197\) 5.48398 9.49852i 0.390717 0.676742i −0.601827 0.798626i \(-0.705560\pi\)
0.992544 + 0.121885i \(0.0388938\pi\)
\(198\) 16.2460 + 7.64864i 1.15455 + 0.543565i
\(199\) −6.56897 + 3.79260i −0.465662 + 0.268850i −0.714422 0.699715i \(-0.753310\pi\)
0.248760 + 0.968565i \(0.419977\pi\)
\(200\) 4.96432 0.351030
\(201\) −18.3516 4.10395i −1.29443 0.289470i
\(202\) 2.57737 + 4.46413i 0.181343 + 0.314095i
\(203\) −17.0386 + 3.94126i −1.19587 + 0.276623i
\(204\) −1.63480 + 7.31035i −0.114459 + 0.511827i
\(205\) 0.789099 1.36676i 0.0551131 0.0954586i
\(206\) −0.425721 0.245790i −0.0296614 0.0171250i
\(207\) 7.32041 0.613284i 0.508804 0.0426262i
\(208\) 2.01311 2.99122i 0.139584 0.207404i
\(209\) −32.4345 −2.24354
\(210\) 0.746496 0.438294i 0.0515131 0.0302452i
\(211\) −6.91977 + 11.9854i −0.476376 + 0.825108i −0.999634 0.0270666i \(-0.991383\pi\)
0.523257 + 0.852175i \(0.324717\pi\)
\(212\) 0.381800 0.220432i 0.0262221 0.0151394i
\(213\) 4.36226 + 4.01209i 0.298897 + 0.274904i
\(214\) 10.1467 5.85821i 0.693615 0.400459i
\(215\) −0.657540 + 0.379631i −0.0448439 + 0.0258906i
\(216\) −3.18595 + 4.10484i −0.216777 + 0.279299i
\(217\) −14.9706 + 13.9722i −1.01627 + 0.948494i
\(218\) −2.32283 1.34108i −0.157322 0.0908296i
\(219\) −12.6300 + 3.95665i −0.853454 + 0.267366i
\(220\) 1.13067i 0.0762296i
\(221\) −6.85027 14.0083i −0.460799 0.942303i
\(222\) 1.63943 1.78252i 0.110031 0.119635i
\(223\) 12.0097 20.8015i 0.804231 1.39297i −0.112578 0.993643i \(-0.535911\pi\)
0.916809 0.399326i \(-0.130756\pi\)
\(224\) 2.53047 + 0.772472i 0.169074 + 0.0516129i
\(225\) 12.2310 8.49724i 0.815399 0.566483i
\(226\) 3.37119i 0.224248i
\(227\) 13.1216 7.57576i 0.870911 0.502821i 0.00326046 0.999995i \(-0.498962\pi\)
0.867651 + 0.497174i \(0.165629\pi\)
\(228\) 2.04832 9.15950i 0.135654 0.606603i
\(229\) −14.1118 −0.932534 −0.466267 0.884644i \(-0.654401\pi\)
−0.466267 + 0.884644i \(0.654401\pi\)
\(230\) 0.231280 + 0.400589i 0.0152502 + 0.0264140i
\(231\) −13.8877 23.6533i −0.913744 1.55627i
\(232\) 5.72445 + 3.30501i 0.375829 + 0.216985i
\(233\) 25.4597i 1.66792i 0.551827 + 0.833959i \(0.313931\pi\)
−0.551827 + 0.833959i \(0.686069\pi\)
\(234\) −0.160116 10.8155i −0.0104671 0.707029i
\(235\) −0.567146 −0.0369966
\(236\) −1.61004 0.929559i −0.104805 0.0605092i
\(237\) 21.2762 6.66531i 1.38204 0.432958i
\(238\) 8.36525 7.80735i 0.542239 0.506075i
\(239\) −13.2140 −0.854746 −0.427373 0.904075i \(-0.640561\pi\)
−0.427373 + 0.904075i \(0.640561\pi\)
\(240\) −0.319300 0.0714045i −0.0206107 0.00460914i
\(241\) 2.98003 + 5.16157i 0.191961 + 0.332486i 0.945900 0.324458i \(-0.105182\pi\)
−0.753939 + 0.656944i \(0.771849\pi\)
\(242\) 24.8261 1.59588
\(243\) −0.823378 + 15.5667i −0.0528197 + 0.998604i
\(244\) 1.69169 + 0.976699i 0.108299 + 0.0625267i
\(245\) −1.31917 0.0911229i −0.0842785 0.00582163i
\(246\) 9.79584 10.6508i 0.624560 0.679072i
\(247\) 8.58305 + 17.5517i 0.546126 + 1.11679i
\(248\) 7.73989 0.491484
\(249\) 8.37411 + 26.7309i 0.530688 + 1.69400i
\(250\) 1.63010 + 0.941137i 0.103096 + 0.0595227i
\(251\) 6.39264 + 11.0724i 0.403500 + 0.698882i 0.994146 0.108049i \(-0.0344602\pi\)
−0.590646 + 0.806931i \(0.701127\pi\)
\(252\) 7.55674 2.42812i 0.476030 0.152957i
\(253\) 12.6930 7.32829i 0.798001 0.460726i
\(254\) 1.88905 + 3.27194i 0.118530 + 0.205300i
\(255\) −0.957910 + 1.04152i −0.0599867 + 0.0652223i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −5.37346 + 9.30710i −0.335187 + 0.580561i −0.983521 0.180795i \(-0.942133\pi\)
0.648334 + 0.761356i \(0.275466\pi\)
\(258\) −6.64337 + 2.08120i −0.413598 + 0.129570i
\(259\) −3.60420 + 0.833701i −0.223954 + 0.0518037i
\(260\) 0.611854 0.299205i 0.0379456 0.0185559i
\(261\) 19.7608 1.65551i 1.22317 0.102473i
\(262\) −5.65362 + 9.79235i −0.349282 + 0.604974i
\(263\) −9.20947 5.31709i −0.567880 0.327866i 0.188422 0.982088i \(-0.439663\pi\)
−0.756302 + 0.654222i \(0.772996\pi\)
\(264\) −2.26251 + 10.1173i −0.139248 + 0.622676i
\(265\) 0.0832800 0.00511585
\(266\) −10.4812 + 9.78222i −0.642646 + 0.599786i
\(267\) −24.1483 5.40024i −1.47785 0.330490i
\(268\) 10.8570i 0.663199i
\(269\) −2.47776 4.29161i −0.151072 0.261664i 0.780550 0.625093i \(-0.214939\pi\)
−0.931622 + 0.363429i \(0.881606\pi\)
\(270\) −0.908906 + 0.370609i −0.0553142 + 0.0225546i
\(271\) −9.08097 + 15.7287i −0.551629 + 0.955450i 0.446528 + 0.894770i \(0.352660\pi\)
−0.998157 + 0.0606805i \(0.980673\pi\)
\(272\) −4.32488 −0.262234
\(273\) −9.12479 + 13.7745i −0.552258 + 0.833674i
\(274\) 6.66790 0.402822
\(275\) 14.8569 25.7330i 0.895907 1.55176i
\(276\) 1.26791 + 4.04729i 0.0763195 + 0.243618i
\(277\) 16.5270 + 28.6255i 0.993009 + 1.71994i 0.598732 + 0.800949i \(0.295671\pi\)
0.394276 + 0.918992i \(0.370995\pi\)
\(278\) 1.17038i 0.0701945i
\(279\) 19.0694 13.2481i 1.14165 0.793142i
\(280\) 0.341008 + 0.365376i 0.0203791 + 0.0218354i
\(281\) 15.9870 0.953706 0.476853 0.878983i \(-0.341777\pi\)
0.476853 + 0.878983i \(0.341777\pi\)
\(282\) −5.07486 1.13488i −0.302203 0.0675812i
\(283\) −22.9867 13.2714i −1.36641 0.788900i −0.375947 0.926641i \(-0.622682\pi\)
−0.990468 + 0.137741i \(0.956016\pi\)
\(284\) −1.71090 + 2.96337i −0.101523 + 0.175844i
\(285\) 1.20021 1.30497i 0.0710945 0.0772997i
\(286\) −9.48054 19.3871i −0.560596 1.14638i
\(287\) −21.5356 + 4.98148i −1.27121 + 0.294048i
\(288\) −2.71423 1.27786i −0.159938 0.0752988i
\(289\) −0.852297 + 1.47622i −0.0501351 + 0.0868366i
\(290\) 0.624321 + 1.08136i 0.0366614 + 0.0634994i
\(291\) 20.8001 + 19.1304i 1.21932 + 1.12144i
\(292\) −3.82068 6.61761i −0.223588 0.387267i
\(293\) −25.7332 + 14.8571i −1.50335 + 0.867960i −0.503358 + 0.864078i \(0.667902\pi\)
−0.999992 + 0.00388166i \(0.998764\pi\)
\(294\) −11.6216 3.45508i −0.677788 0.201504i
\(295\) −0.175595 0.304140i −0.0102235 0.0177077i
\(296\) 1.21090 + 0.699114i 0.0703822 + 0.0406352i
\(297\) 11.7431 + 28.7994i 0.681401 + 1.67111i
\(298\) −5.52511 −0.320061
\(299\) −7.32456 4.92946i −0.423590 0.285078i
\(300\) 6.32873 + 5.82070i 0.365389 + 0.336058i
\(301\) 10.1709 + 3.10484i 0.586239 + 0.178960i
\(302\) −11.4905 6.63404i −0.661204 0.381746i
\(303\) −1.94848 + 8.71305i −0.111937 + 0.500552i
\(304\) 5.41886 0.310793
\(305\) 0.184500 + 0.319563i 0.0105644 + 0.0182981i
\(306\) −10.6556 + 7.40274i −0.609137 + 0.423186i
\(307\) −0.176409 −0.0100682 −0.00503408 0.999987i \(-0.501602\pi\)
−0.00503408 + 0.999987i \(0.501602\pi\)
\(308\) 11.5772 10.8051i 0.659674 0.615678i
\(309\) −0.254537 0.812504i −0.0144801 0.0462218i
\(310\) 1.26620 + 0.731038i 0.0719151 + 0.0415202i
\(311\) 11.5151 0.652960 0.326480 0.945204i \(-0.394137\pi\)
0.326480 + 0.945204i \(0.394137\pi\)
\(312\) 6.07362 1.45296i 0.343851 0.0822577i
\(313\) 9.52231i 0.538233i −0.963108 0.269116i \(-0.913268\pi\)
0.963108 0.269116i \(-0.0867316\pi\)
\(314\) 13.9052 + 8.02816i 0.784715 + 0.453055i
\(315\) 1.46557 + 0.316515i 0.0825755 + 0.0178336i
\(316\) 6.43626 + 11.1479i 0.362068 + 0.627120i
\(317\) 20.9814 1.17843 0.589217 0.807975i \(-0.299436\pi\)
0.589217 + 0.807975i \(0.299436\pi\)
\(318\) 0.745194 + 0.166646i 0.0417884 + 0.00934507i
\(319\) 34.2636 19.7821i 1.91840 1.10759i
\(320\) 0.188901i 0.0105599i
\(321\) 19.8043 + 4.42879i 1.10537 + 0.247191i
\(322\) 1.89154 6.19633i 0.105411 0.345308i
\(323\) 11.7180 20.2961i 0.652005 1.12931i
\(324\) −8.87455 + 1.49748i −0.493030 + 0.0831933i
\(325\) −17.8568 1.23011i −0.990516 0.0682341i
\(326\) 3.76868i 0.208728i
\(327\) −1.38881 4.43320i −0.0768013 0.245157i
\(328\) 7.23531 + 4.17731i 0.399503 + 0.230653i
\(329\) 5.41988 + 5.80718i 0.298807 + 0.320160i
\(330\) −1.32572 + 1.44142i −0.0729783 + 0.0793478i
\(331\) 4.41038 2.54633i 0.242416 0.139959i −0.373871 0.927481i \(-0.621970\pi\)
0.616287 + 0.787522i \(0.288636\pi\)
\(332\) −14.0059 + 8.08634i −0.768676 + 0.443795i
\(333\) 4.18004 0.350192i 0.229065 0.0191904i
\(334\) −17.4109 + 10.0522i −0.952683 + 0.550032i
\(335\) 1.02545 1.77614i 0.0560265 0.0970408i
\(336\) 2.32023 + 3.95178i 0.126579 + 0.215587i
\(337\) −24.2673 −1.32192 −0.660961 0.750420i \(-0.729851\pi\)
−0.660961 + 0.750420i \(0.729851\pi\)
\(338\) −7.98239 + 10.2607i −0.434185 + 0.558107i
\(339\) −3.95274 + 4.29774i −0.214684 + 0.233421i
\(340\) −0.707522 0.408488i −0.0383708 0.0221534i
\(341\) 23.1635 40.1204i 1.25438 2.17264i
\(342\) 13.3509 9.27526i 0.721933 0.501549i
\(343\) 11.6734 + 14.3781i 0.630307 + 0.776346i
\(344\) −2.00968 3.48087i −0.108355 0.187676i
\(345\) −0.174847 + 0.781866i −0.00941346 + 0.0420942i
\(346\) 16.5383 0.889104
\(347\) 0.124936 0.0721316i 0.00670689 0.00387223i −0.496643 0.867955i \(-0.665434\pi\)
0.503350 + 0.864083i \(0.332101\pi\)
\(348\) 3.42263 + 10.9253i 0.183472 + 0.585659i
\(349\) 13.3482 23.1197i 0.714511 1.23757i −0.248636 0.968597i \(-0.579982\pi\)
0.963148 0.268973i \(-0.0866843\pi\)
\(350\) −2.96000 12.7965i −0.158219 0.684000i
\(351\) 12.4771 13.9758i 0.665978 0.745972i
\(352\) −5.98549 −0.319028
\(353\) −15.5551 8.98072i −0.827912 0.477995i 0.0252249 0.999682i \(-0.491970\pi\)
−0.853137 + 0.521686i \(0.825303\pi\)
\(354\) −0.962640 3.07283i −0.0511637 0.163319i
\(355\) −0.559784 + 0.323192i −0.0297103 + 0.0171532i
\(356\) 14.2864i 0.757178i
\(357\) 19.8186 0.144831i 1.04891 0.00766527i
\(358\) −12.0538 + 6.95929i −0.637065 + 0.367810i
\(359\) −23.0451 −1.21627 −0.608137 0.793832i \(-0.708083\pi\)
−0.608137 + 0.793832i \(0.708083\pi\)
\(360\) −0.323336 0.465411i −0.0170413 0.0245293i
\(361\) −5.18202 + 8.97553i −0.272738 + 0.472396i
\(362\) −16.9201 9.76884i −0.889303 0.513439i
\(363\) 31.6494 + 29.1088i 1.66116 + 1.52781i
\(364\) −8.91076 3.40563i −0.467051 0.178503i
\(365\) 1.44346i 0.0755544i
\(366\) 1.01146 + 3.22866i 0.0528697 + 0.168765i
\(367\) 13.8828 + 8.01521i 0.724674 + 0.418391i 0.816471 0.577387i \(-0.195928\pi\)
−0.0917966 + 0.995778i \(0.529261\pi\)
\(368\) −2.12062 + 1.22434i −0.110545 + 0.0638233i
\(369\) 24.9763 2.09245i 1.30022 0.108928i
\(370\) 0.132064 + 0.228741i 0.00686566 + 0.0118917i
\(371\) −0.795856 0.852728i −0.0413188 0.0442714i
\(372\) 9.86716 + 9.07508i 0.511588 + 0.470521i
\(373\) 2.79520 + 4.84143i 0.144730 + 0.250680i 0.929272 0.369396i \(-0.120435\pi\)
−0.784542 + 0.620076i \(0.787102\pi\)
\(374\) −12.9433 + 22.4184i −0.669280 + 1.15923i
\(375\) 0.974629 + 3.11110i 0.0503296 + 0.160657i
\(376\) 3.00234i 0.154834i
\(377\) −19.7720 13.3067i −1.01831 0.685329i
\(378\) 12.4806 + 5.76486i 0.641935 + 0.296512i
\(379\) −28.6697 16.5524i −1.47266 0.850241i −0.473134 0.880991i \(-0.656877\pi\)
−0.999527 + 0.0307493i \(0.990211\pi\)
\(380\) 0.886490 + 0.511815i 0.0454760 + 0.0262556i
\(381\) −1.42812 + 6.38614i −0.0731649 + 0.327172i
\(382\) 8.48168i 0.433960i
\(383\) 6.23135 3.59767i 0.318407 0.183832i −0.332275 0.943182i \(-0.607816\pi\)
0.650682 + 0.759350i \(0.274483\pi\)
\(384\) 0.377999 1.69030i 0.0192897 0.0862578i
\(385\) 2.91451 0.674167i 0.148537 0.0343587i
\(386\) −0.941626 + 0.543648i −0.0479275 + 0.0276710i
\(387\) −10.9095 5.13619i −0.554560 0.261087i
\(388\) −8.15789 + 14.1299i −0.414154 + 0.717336i
\(389\) 3.50651i 0.177787i 0.996041 + 0.0888936i \(0.0283331\pi\)
−0.996041 + 0.0888936i \(0.971667\pi\)
\(390\) 1.13084 + 0.335963i 0.0572622 + 0.0170122i
\(391\) 10.5903i 0.535573i
\(392\) 0.482384 6.98336i 0.0243640 0.352713i
\(393\) −18.6891 + 5.85482i −0.942740 + 0.295336i
\(394\) 5.48398 + 9.49852i 0.276279 + 0.478529i
\(395\) 2.43164i 0.122349i
\(396\) −14.7469 + 10.2451i −0.741061 + 0.514838i
\(397\) 13.1380 + 22.7557i 0.659378 + 1.14208i 0.980777 + 0.195133i \(0.0625137\pi\)
−0.321399 + 0.946944i \(0.604153\pi\)
\(398\) 7.58519i 0.380211i
\(399\) −24.8317 + 0.181466i −1.24314 + 0.00908466i
\(400\) −2.48216 + 4.29922i −0.124108 + 0.214961i
\(401\) −5.37427 + 9.30851i −0.268378 + 0.464845i −0.968443 0.249234i \(-0.919821\pi\)
0.700065 + 0.714079i \(0.253154\pi\)
\(402\) 12.7299 13.8410i 0.634912 0.690327i
\(403\) −27.8406 1.91787i −1.38684 0.0955358i
\(404\) −5.15473 −0.256458
\(405\) −1.59326 0.593229i −0.0791695 0.0294778i
\(406\) 5.10606 16.7265i 0.253409 0.830121i
\(407\) 7.24784 4.18454i 0.359262 0.207420i
\(408\) −5.51355 5.07095i −0.272961 0.251050i
\(409\) −7.52589 13.0352i −0.372131 0.644550i 0.617762 0.786365i \(-0.288039\pi\)
−0.989893 + 0.141815i \(0.954706\pi\)
\(410\) 0.789099 + 1.36676i 0.0389708 + 0.0674994i
\(411\) 8.50053 + 7.81816i 0.419300 + 0.385641i
\(412\) 0.425721 0.245790i 0.0209738 0.0121092i
\(413\) −1.43612 + 4.70445i −0.0706667 + 0.231491i
\(414\) −3.12909 + 6.64631i −0.153786 + 0.326648i
\(415\) −3.05504 −0.149966
\(416\) 1.58392 + 3.23901i 0.0776581 + 0.158806i
\(417\) 1.37227 1.49205i 0.0672006 0.0730659i
\(418\) 16.2173 28.0891i 0.793213 1.37388i
\(419\) −11.7500 + 20.3516i −0.574024 + 0.994239i 0.422123 + 0.906539i \(0.361285\pi\)
−0.996147 + 0.0877004i \(0.972048\pi\)
\(420\) 0.00632590 + 0.865632i 0.000308673 + 0.0422385i
\(421\) 34.1950i 1.66656i −0.552851 0.833280i \(-0.686460\pi\)
0.552851 0.833280i \(-0.313540\pi\)
\(422\) −6.91977 11.9854i −0.336849 0.583440i
\(423\) −5.13900 7.39711i −0.249867 0.359660i
\(424\) 0.440865i 0.0214103i
\(425\) 10.7350 + 18.5936i 0.520726 + 0.901924i
\(426\) −5.65570 + 1.77179i −0.274020 + 0.0858434i
\(427\) 1.50894 4.94302i 0.0730230 0.239209i
\(428\) 11.7164i 0.566334i
\(429\) 10.6453 35.8315i 0.513958 1.72996i
\(430\) 0.759262i 0.0366149i
\(431\) −0.197300 + 0.341734i −0.00950362 + 0.0164607i −0.870738 0.491747i \(-0.836358\pi\)
0.861234 + 0.508208i \(0.169692\pi\)
\(432\) −1.96192 4.81154i −0.0943929 0.231495i
\(433\) −20.3742 + 11.7631i −0.979122 + 0.565296i −0.902005 0.431726i \(-0.857905\pi\)
−0.0771170 + 0.997022i \(0.524572\pi\)
\(434\) −4.61496 19.9510i −0.221525 0.957680i
\(435\) −0.471986 + 2.11058i −0.0226300 + 0.101195i
\(436\) 2.32283 1.34108i 0.111243 0.0642263i
\(437\) 13.2691i 0.634746i
\(438\) 2.88843 12.9162i 0.138014 0.617160i
\(439\) −4.95314 2.85970i −0.236400 0.136486i 0.377121 0.926164i \(-0.376914\pi\)
−0.613521 + 0.789678i \(0.710247\pi\)
\(440\) −0.979187 0.565334i −0.0466809 0.0269512i
\(441\) −10.7647 18.0311i −0.512603 0.858625i
\(442\) 15.5567 + 1.07166i 0.739957 + 0.0509738i
\(443\) 2.47810i 0.117738i −0.998266 0.0588690i \(-0.981251\pi\)
0.998266 0.0588690i \(-0.0187494\pi\)
\(444\) 0.723994 + 2.31105i 0.0343592 + 0.109678i
\(445\) 1.34936 2.33716i 0.0639658 0.110792i
\(446\) 12.0097 + 20.8015i 0.568677 + 0.984978i
\(447\) −7.04366 6.47824i −0.333154 0.306410i
\(448\) −1.93422 + 1.80522i −0.0913831 + 0.0852885i
\(449\) 5.34379 + 9.25571i 0.252189 + 0.436804i 0.964128 0.265437i \(-0.0855162\pi\)
−0.711939 + 0.702241i \(0.752183\pi\)
\(450\) 1.24333 + 14.8410i 0.0586113 + 0.699609i
\(451\) 43.3069 25.0032i 2.03924 1.17736i
\(452\) −2.91954 1.68560i −0.137323 0.0792837i
\(453\) −6.87013 21.9301i −0.322787 1.03036i
\(454\) 15.1515i 0.711096i
\(455\) −1.13608 1.39877i −0.0532602 0.0655752i
\(456\) 6.90820 + 6.35365i 0.323506 + 0.297537i
\(457\) 6.26295 + 3.61591i 0.292968 + 0.169145i 0.639280 0.768974i \(-0.279233\pi\)
−0.346311 + 0.938120i \(0.612566\pi\)
\(458\) 7.05590 12.2212i 0.329700 0.571058i
\(459\) −22.2639 3.05637i −1.03919 0.142659i
\(460\) −0.462560 −0.0215670
\(461\) −22.2461 + 12.8438i −1.03610 + 0.598195i −0.918727 0.394893i \(-0.870782\pi\)
−0.117376 + 0.993088i \(0.537448\pi\)
\(462\) 27.4282 0.200441i 1.27608 0.00932537i
\(463\) 17.8625i 0.830141i 0.909789 + 0.415070i \(0.136243\pi\)
−0.909789 + 0.415070i \(0.863757\pi\)
\(464\) −5.72445 + 3.30501i −0.265751 + 0.153431i
\(465\) 0.757054 + 2.41658i 0.0351075 + 0.112066i
\(466\) −22.0487 12.7298i −1.02139 0.589698i
\(467\) 13.6813 0.633095 0.316547 0.948577i \(-0.397476\pi\)
0.316547 + 0.948577i \(0.397476\pi\)
\(468\) 9.44653 + 5.26907i 0.436666 + 0.243563i
\(469\) −27.9860 + 6.47356i −1.29228 + 0.298921i
\(470\) 0.283573 0.491163i 0.0130803 0.0226557i
\(471\) 8.31386 + 26.5386i 0.383083 + 1.22283i
\(472\) 1.61004 0.929559i 0.0741083 0.0427864i
\(473\) −24.0578 −1.10618
\(474\) −4.86580 + 21.7584i −0.223494 + 0.999398i
\(475\) −13.4505 23.2969i −0.617150 1.06893i
\(476\) 2.57873 + 11.1482i 0.118196 + 0.510977i
\(477\) 0.754612 + 1.08619i 0.0345513 + 0.0497334i
\(478\) 6.60702 11.4437i 0.302198 0.523423i
\(479\) 2.54639 + 1.47016i 0.116348 + 0.0671733i 0.557044 0.830483i \(-0.311935\pi\)
−0.440697 + 0.897656i \(0.645269\pi\)
\(480\) 0.221488 0.240820i 0.0101095 0.0109919i
\(481\) −4.18241 2.81478i −0.190701 0.128343i
\(482\) −5.96007 −0.271474
\(483\) 9.67666 5.68151i 0.440303 0.258518i
\(484\) −12.4130 + 21.5000i −0.564230 + 0.977274i
\(485\) −2.66915 + 1.54104i −0.121200 + 0.0699749i
\(486\) −13.0695 8.49641i −0.592843 0.385405i
\(487\) 36.7588 21.2227i 1.66570 0.961694i 0.695788 0.718247i \(-0.255055\pi\)
0.969914 0.243446i \(-0.0782779\pi\)
\(488\) −1.69169 + 0.976699i −0.0765793 + 0.0442131i
\(489\) 4.41880 4.80448i 0.199825 0.217266i
\(490\) 0.738498 1.09687i 0.0333619 0.0495515i
\(491\) 25.7266 + 14.8533i 1.16102 + 0.670318i 0.951549 0.307496i \(-0.0994911\pi\)
0.209475 + 0.977814i \(0.432824\pi\)
\(492\) 4.32597 + 13.8089i 0.195030 + 0.622552i
\(493\) 28.5876i 1.28752i
\(494\) −19.4918 1.34274i −0.876977 0.0604127i
\(495\) −3.38016 + 0.283181i −0.151927 + 0.0127280i
\(496\) −3.86995 + 6.70294i −0.173766 + 0.300971i
\(497\) 8.65877 + 2.64325i 0.388399 + 0.118566i
\(498\) −27.3367 6.11325i −1.22499 0.273941i
\(499\) 20.3400i 0.910543i −0.890353 0.455272i \(-0.849542\pi\)
0.890353 0.455272i \(-0.150458\pi\)
\(500\) −1.63010 + 0.941137i −0.0729001 + 0.0420889i
\(501\) −33.9825 7.59944i −1.51822 0.339518i
\(502\) −12.7853 −0.570635
\(503\) 6.55055 + 11.3459i 0.292075 + 0.505888i 0.974300 0.225254i \(-0.0723211\pi\)
−0.682226 + 0.731142i \(0.738988\pi\)
\(504\) −1.67556 + 7.75838i −0.0746353 + 0.345586i
\(505\) −0.843280 0.486868i −0.0375255 0.0216653i
\(506\) 14.6566i 0.651565i
\(507\) −22.2070 + 3.72135i −0.986248 + 0.165271i
\(508\) −3.77811 −0.167626
\(509\) 0.0849695 + 0.0490572i 0.00376621 + 0.00217442i 0.501882 0.864936i \(-0.332641\pi\)
−0.498116 + 0.867111i \(0.665975\pi\)
\(510\) −0.423025 1.35033i −0.0187319 0.0597938i
\(511\) −14.7800 + 13.7943i −0.653831 + 0.610225i
\(512\) 1.00000 0.0441942
\(513\) 27.8956 + 3.82948i 1.23162 + 0.169076i
\(514\) −5.37346 9.30710i −0.237013 0.410519i
\(515\) 0.0928601 0.00409191
\(516\) 1.51931 6.79392i 0.0668840 0.299086i
\(517\) −15.5629 8.98524i −0.684455 0.395170i
\(518\) 1.08009 3.53818i 0.0474565 0.155459i
\(519\) 21.0837 + 19.3913i 0.925474 + 0.851182i
\(520\) −0.0468079 + 0.679483i −0.00205266 + 0.0297973i
\(521\) 15.5234 0.680091 0.340045 0.940409i \(-0.389558\pi\)
0.340045 + 0.940409i \(0.389558\pi\)
\(522\) −8.44671 + 17.9412i −0.369703 + 0.785263i
\(523\) −17.2591 9.96453i −0.754687 0.435719i 0.0726981 0.997354i \(-0.476839\pi\)
−0.827385 + 0.561635i \(0.810172\pi\)
\(524\) −5.65362 9.79235i −0.246979 0.427781i
\(525\) 11.2304 19.7841i 0.490135 0.863450i
\(526\) 9.20947 5.31709i 0.401552 0.231836i
\(527\) 16.7371 + 28.9894i 0.729078 + 1.26280i
\(528\) −7.63057 7.01803i −0.332078 0.305421i
\(529\) −8.50197 14.7258i −0.369651 0.640254i
\(530\) −0.0416400 + 0.0721226i −0.00180873 + 0.00313280i
\(531\) 2.37570 5.04608i 0.103097 0.218981i
\(532\) −3.23103 13.9681i −0.140083 0.605595i
\(533\) −24.9905 16.8187i −1.08246 0.728499i
\(534\) 16.7509 18.2129i 0.724883 0.788151i
\(535\) −1.10662 + 1.91673i −0.0478435 + 0.0828674i
\(536\) 9.40246 + 5.42851i 0.406125 + 0.234476i
\(537\) −23.5266 5.26121i −1.01525 0.227038i
\(538\) 4.95553 0.213648
\(539\) −34.7552 23.3999i −1.49701 1.00790i
\(540\) 0.133496 0.972440i 0.00574474 0.0418472i
\(541\) 14.9102i 0.641039i −0.947242 0.320520i \(-0.896143\pi\)
0.947242 0.320520i \(-0.103857\pi\)
\(542\) −9.08097 15.7287i −0.390061 0.675605i
\(543\) −10.1165 32.2927i −0.434140 1.38581i
\(544\) 2.16244 3.74546i 0.0927139 0.160585i
\(545\) 0.506665 0.0217032
\(546\) −7.36671 14.7896i −0.315266 0.632935i
\(547\) 18.1583 0.776395 0.388197 0.921576i \(-0.373098\pi\)
0.388197 + 0.921576i \(0.373098\pi\)
\(548\) −3.33395 + 5.77457i −0.142419 + 0.246677i
\(549\) −2.49618 + 5.30198i −0.106534 + 0.226283i
\(550\) 14.8569 + 25.7330i 0.633502 + 1.09726i
\(551\) 35.8188i 1.52593i
\(552\) −4.13902 0.925601i −0.176168 0.0393962i
\(553\) 24.8982 23.2377i 1.05878 0.988167i
\(554\) −33.0539 −1.40433
\(555\) −0.0998398 + 0.446455i −0.00423796 + 0.0189509i
\(556\) 1.01358 + 0.585188i 0.0429852 + 0.0248175i
\(557\) −1.86994 + 3.23883i −0.0792319 + 0.137234i −0.902919 0.429811i \(-0.858580\pi\)
0.823687 + 0.567045i \(0.191913\pi\)
\(558\) 1.93849 + 23.1386i 0.0820628 + 0.979536i
\(559\) 6.36634 + 13.0187i 0.269268 + 0.550634i
\(560\) −0.486929 + 0.112634i −0.0205765 + 0.00475964i
\(561\) −42.7864 + 13.4039i −1.80644 + 0.565912i
\(562\) −7.99351 + 13.8452i −0.337186 + 0.584023i
\(563\) −11.4570 19.8442i −0.482856 0.836331i 0.516950 0.856016i \(-0.327067\pi\)
−0.999806 + 0.0196842i \(0.993734\pi\)
\(564\) 3.52027 3.82752i 0.148230 0.161168i
\(565\) −0.318411 0.551505i −0.0133957 0.0232020i
\(566\) 22.9867 13.2714i 0.966201 0.557837i
\(567\) 9.15153 + 21.9829i 0.384328 + 0.923196i
\(568\) −1.71090 2.96337i −0.0717878 0.124340i
\(569\) −6.06874 3.50379i −0.254415 0.146886i 0.367369 0.930075i \(-0.380259\pi\)
−0.621784 + 0.783189i \(0.713592\pi\)
\(570\) 0.530029 + 1.69190i 0.0222005 + 0.0708659i
\(571\) −37.6484 −1.57554 −0.787769 0.615971i \(-0.788764\pi\)
−0.787769 + 0.615971i \(0.788764\pi\)
\(572\) 21.5300 + 1.48314i 0.900213 + 0.0620134i
\(573\) 9.94483 10.8128i 0.415451 0.451712i
\(574\) 6.45370 21.1411i 0.269372 0.882413i
\(575\) 10.5274 + 6.07803i 0.439025 + 0.253471i
\(576\) 2.46378 1.71166i 0.102657 0.0713193i
\(577\) 13.4291 0.559059 0.279530 0.960137i \(-0.409821\pi\)
0.279530 + 0.960137i \(0.409821\pi\)
\(578\) −0.852297 1.47622i −0.0354509 0.0614027i
\(579\) −1.83786 0.410997i −0.0763788 0.0170804i
\(580\) −1.24864 −0.0518471
\(581\) 29.1952 + 31.2814i 1.21122 + 1.29777i
\(582\) −26.9674 + 8.44821i −1.11784 + 0.350190i
\(583\) 2.28526 + 1.31940i 0.0946458 + 0.0546438i
\(584\) 7.64136 0.316202
\(585\) 1.04772 + 1.75422i 0.0433180 + 0.0725279i
\(586\) 29.7142i 1.22748i
\(587\) −24.6198 14.2142i −1.01617 0.586684i −0.103175 0.994663i \(-0.532900\pi\)
−0.912991 + 0.407979i \(0.866234\pi\)
\(588\) 8.80300 8.33710i 0.363030 0.343816i
\(589\) −20.9707 36.3223i −0.864083 1.49664i
\(590\) 0.351190 0.0144583
\(591\) −4.14587 + 18.5391i −0.170538 + 0.762598i
\(592\) −1.21090 + 0.699114i −0.0497677 + 0.0287334i
\(593\) 22.4962i 0.923810i 0.886929 + 0.461905i \(0.152834\pi\)
−0.886929 + 0.461905i \(0.847166\pi\)
\(594\) −30.8125 4.22992i −1.26425 0.173556i
\(595\) −0.631091 + 2.06733i −0.0258722 + 0.0847525i
\(596\) 2.76256 4.78489i 0.113159 0.195997i
\(597\) 8.89369 9.66994i 0.363995 0.395764i
\(598\) 7.93132 3.87852i 0.324336 0.158605i
\(599\) 29.8169i 1.21829i 0.793060 + 0.609143i \(0.208486\pi\)
−0.793060 + 0.609143i \(0.791514\pi\)
\(600\) −8.20523 + 2.57049i −0.334977 + 0.104940i
\(601\) −15.1795 8.76391i −0.619186 0.357487i 0.157366 0.987540i \(-0.449700\pi\)
−0.776552 + 0.630053i \(0.783033\pi\)
\(602\) −7.77431 + 7.25581i −0.316857 + 0.295725i
\(603\) 32.4574 2.71919i 1.32177 0.110734i
\(604\) 11.4905 6.63404i 0.467542 0.269935i
\(605\) −4.06139 + 2.34484i −0.165119 + 0.0953314i
\(606\) −6.57148 6.04396i −0.266948 0.245519i
\(607\) −10.8473 + 6.26269i −0.440278 + 0.254195i −0.703716 0.710482i \(-0.748477\pi\)
0.263438 + 0.964676i \(0.415144\pi\)
\(608\) −2.70943 + 4.69287i −0.109882 + 0.190321i
\(609\) 26.1213 15.3368i 1.05849 0.621477i
\(610\) −0.369000 −0.0149404
\(611\) −0.743950 + 10.7995i −0.0300970 + 0.436901i
\(612\) −1.08318 12.9293i −0.0437851 0.522638i
\(613\) −14.4298 8.33108i −0.582816 0.336489i 0.179436 0.983770i \(-0.442573\pi\)
−0.762252 + 0.647281i \(0.775906\pi\)
\(614\) 0.0882043 0.152774i 0.00355964 0.00616547i
\(615\) −0.596557 + 2.66763i −0.0240555 + 0.107569i
\(616\) 3.56888 + 15.4287i 0.143794 + 0.621641i
\(617\) −12.5067 21.6622i −0.503499 0.872086i −0.999992 0.00404517i \(-0.998712\pi\)
0.496493 0.868041i \(-0.334621\pi\)
\(618\) 0.830918 + 0.185817i 0.0334244 + 0.00747464i
\(619\) 30.6669 1.23261 0.616303 0.787509i \(-0.288630\pi\)
0.616303 + 0.787509i \(0.288630\pi\)
\(620\) −1.26620 + 0.731038i −0.0508516 + 0.0293592i
\(621\) −11.7819 + 4.80413i −0.472793 + 0.192783i
\(622\) −5.75754 + 9.97235i −0.230856 + 0.399855i
\(623\) −36.8259 + 8.51835i −1.47540 + 0.341280i
\(624\) −1.77851 + 5.98639i −0.0711975 + 0.239647i
\(625\) 24.4660 0.978641
\(626\) 8.24656 + 4.76115i 0.329599 + 0.190294i
\(627\) 53.6092 16.7944i 2.14095 0.670704i
\(628\) −13.9052 + 8.02816i −0.554877 + 0.320358i
\(629\) 6.04717i 0.241116i
\(630\) −1.00690 + 1.11096i −0.0401157 + 0.0442618i
\(631\) −10.3667 + 5.98521i −0.412691 + 0.238268i −0.691945 0.721950i \(-0.743246\pi\)
0.279254 + 0.960217i \(0.409913\pi\)
\(632\) −12.8725 −0.512041
\(633\) 5.23133 23.3930i 0.207927 0.929787i
\(634\) −10.4907 + 18.1705i −0.416640 + 0.721641i
\(635\) −0.618074 0.356845i −0.0245275 0.0141610i
\(636\) −0.516917 + 0.562034i −0.0204971 + 0.0222861i
\(637\) −3.46555 + 24.9998i −0.137310 + 0.990528i
\(638\) 39.5642i 1.56636i
\(639\) −9.28757 4.37260i −0.367411 0.172977i
\(640\) 0.163593 + 0.0944507i 0.00646660 + 0.00373349i
\(641\) −14.5471 + 8.39874i −0.574574 + 0.331730i −0.758974 0.651121i \(-0.774299\pi\)
0.184400 + 0.982851i \(0.440966\pi\)
\(642\) −13.7376 + 14.9366i −0.542179 + 0.589500i
\(643\) 10.4978 + 18.1827i 0.413993 + 0.717057i 0.995322 0.0966114i \(-0.0308004\pi\)
−0.581329 + 0.813669i \(0.697467\pi\)
\(644\) 4.42041 + 4.73629i 0.174189 + 0.186636i
\(645\) 0.890240 0.967941i 0.0350532 0.0381126i
\(646\) 11.7180 + 20.2961i 0.461037 + 0.798540i
\(647\) −0.217879 + 0.377377i −0.00856570 + 0.0148362i −0.870276 0.492564i \(-0.836060\pi\)
0.861711 + 0.507400i \(0.169393\pi\)
\(648\) 3.14042 8.43432i 0.123367 0.331331i
\(649\) 11.1277i 0.436802i
\(650\) 9.99369 14.8494i 0.391985 0.582440i
\(651\) 17.5094 30.8455i 0.686247 1.20893i
\(652\) 3.26377 + 1.88434i 0.127819 + 0.0737964i
\(653\) −16.0308 9.25537i −0.627333 0.362191i 0.152386 0.988321i \(-0.451304\pi\)
−0.779718 + 0.626130i \(0.784638\pi\)
\(654\) 4.53367 + 1.01386i 0.177281 + 0.0396449i
\(655\) 2.13595i 0.0834586i
\(656\) −7.23531 + 4.17731i −0.282491 + 0.163096i
\(657\) 18.8266 13.0794i 0.734497 0.510277i
\(658\) −7.73910 + 1.79016i −0.301702 + 0.0697878i
\(659\) −0.282523 + 0.163115i −0.0110055 + 0.00635405i −0.505493 0.862831i \(-0.668689\pi\)
0.494487 + 0.869185i \(0.335356\pi\)
\(660\) −0.585453 1.86882i −0.0227887 0.0727436i
\(661\) −4.09057 + 7.08508i −0.159105 + 0.275578i −0.934546 0.355842i \(-0.884194\pi\)
0.775441 + 0.631420i \(0.217527\pi\)
\(662\) 5.09266i 0.197932i
\(663\) 18.5758 + 19.6066i 0.721426 + 0.761456i
\(664\) 16.1727i 0.627622i
\(665\) 0.790726 2.59027i 0.0306630 0.100446i
\(666\) −1.78675 + 3.79512i −0.0692350 + 0.147058i
\(667\) 8.09294 + 14.0174i 0.313360 + 0.542755i
\(668\) 20.1044i 0.777862i
\(669\) −9.07933 + 40.6001i −0.351027 + 1.56969i
\(670\) 1.02545 + 1.77614i 0.0396167 + 0.0686182i
\(671\) 11.6920i 0.451366i
\(672\) −4.58245 + 0.0334879i −0.176772 + 0.00129182i
\(673\) −4.89481 + 8.47806i −0.188681 + 0.326805i −0.944811 0.327617i \(-0.893755\pi\)
0.756130 + 0.654422i \(0.227088\pi\)
\(674\) 12.1336 21.0161i 0.467370 0.809509i
\(675\) −15.8161 + 20.3777i −0.608761 + 0.784339i
\(676\) −4.89481 12.0433i −0.188262 0.463203i
\(677\) 32.9389 1.26595 0.632973 0.774174i \(-0.281834\pi\)
0.632973 + 0.774174i \(0.281834\pi\)
\(678\) −1.74558 5.57205i −0.0670386 0.213993i
\(679\) 41.2866 + 12.6035i 1.58444 + 0.483677i
\(680\) 0.707522 0.408488i 0.0271322 0.0156648i
\(681\) −17.7653 + 19.3158i −0.680767 + 0.740184i
\(682\) 23.1635 + 40.1204i 0.886977 + 1.53629i
\(683\) 22.0625 + 38.2134i 0.844198 + 1.46219i 0.886316 + 0.463081i \(0.153256\pi\)
−0.0421178 + 0.999113i \(0.513410\pi\)
\(684\) 1.35718 + 16.1998i 0.0518929 + 0.619416i
\(685\) −1.09082 + 0.629788i −0.0416783 + 0.0240630i
\(686\) −18.2886 + 2.92043i −0.698260 + 0.111503i
\(687\) 23.3246 7.30700i 0.889888 0.278779i
\(688\) 4.01936 0.153237
\(689\) 0.109242 1.58580i 0.00416178 0.0604142i
\(690\) −0.589692 0.542355i −0.0224492 0.0206471i
\(691\) −21.4006 + 37.0670i −0.814118 + 1.41009i 0.0958414 + 0.995397i \(0.469446\pi\)
−0.909959 + 0.414697i \(0.863888\pi\)
\(692\) −8.26915 + 14.3226i −0.314346 + 0.544463i
\(693\) 35.2017 + 31.9043i 1.33720 + 1.21194i
\(694\) 0.144263i 0.00547616i
\(695\) 0.110543 + 0.191466i 0.00419313 + 0.00726272i
\(696\) −11.1729 2.49858i −0.423509 0.0947085i
\(697\) 36.1327i 1.36862i
\(698\) 13.3482 + 23.1197i 0.505236 + 0.875094i
\(699\) −13.1829 42.0808i −0.498621 1.59164i
\(700\) 12.5621 + 3.83479i 0.474801 + 0.144942i
\(701\) 8.82186i 0.333197i −0.986025 0.166598i \(-0.946722\pi\)
0.986025 0.166598i \(-0.0532784\pi\)
\(702\) 5.86483 + 17.7934i 0.221354 + 0.671567i
\(703\) 7.57680i 0.285765i
\(704\) 2.99275 5.18359i 0.112793 0.195364i
\(705\) 0.937404 0.293665i 0.0353047 0.0110601i
\(706\) 15.5551 8.98072i 0.585422 0.337994i
\(707\) 3.07354 + 13.2873i 0.115592 + 0.499720i
\(708\) 3.14247 + 0.702745i 0.118101 + 0.0264108i
\(709\) −1.61792 + 0.934109i −0.0607624 + 0.0350812i −0.530073 0.847952i \(-0.677836\pi\)
0.469311 + 0.883033i \(0.344502\pi\)
\(710\) 0.646383i 0.0242583i
\(711\) −31.7150 + 22.0334i −1.18941 + 0.826318i
\(712\) 12.3724 + 7.14320i 0.463675 + 0.267703i
\(713\) 16.4134 + 9.47628i 0.614687 + 0.354890i
\(714\) −9.78385 + 17.2358i −0.366152 + 0.645033i
\(715\) 3.38208 + 2.27615i 0.126483 + 0.0851233i
\(716\) 13.9186i 0.520162i
\(717\) 21.8407 6.84215i 0.815657 0.255525i
\(718\) 11.5225 19.9576i 0.430018 0.744813i
\(719\) −2.94341 5.09814i −0.109771 0.190129i 0.805907 0.592043i \(-0.201678\pi\)
−0.915677 + 0.401914i \(0.868345\pi\)
\(720\) 0.564726 0.0473112i 0.0210461 0.00176318i
\(721\) −0.887408 0.950822i −0.0330488 0.0354105i
\(722\) −5.18202 8.97553i −0.192855 0.334035i
\(723\) −7.59816 6.98822i −0.282578 0.259895i
\(724\) 16.9201 9.76884i 0.628832 0.363056i
\(725\) 28.4180 + 16.4071i 1.05542 + 0.609345i
\(726\) −41.0336 + 12.8548i −1.52290 + 0.477086i
\(727\) 12.7622i 0.473322i 0.971592 + 0.236661i \(0.0760531\pi\)
−0.971592 + 0.236661i \(0.923947\pi\)
\(728\) 7.40474 6.01413i 0.274438 0.222899i
\(729\) −6.69942 26.1556i −0.248127 0.968728i
\(730\) 1.25008 + 0.721732i 0.0462674 + 0.0267125i
\(731\) 8.69162 15.0543i 0.321471 0.556804i
\(732\) −3.30183 0.738382i −0.122039 0.0272914i
\(733\) 8.94011 0.330210 0.165105 0.986276i \(-0.447204\pi\)
0.165105 + 0.986276i \(0.447204\pi\)
\(734\) −13.8828 + 8.01521i −0.512422 + 0.295847i
\(735\) 2.22756 0.532444i 0.0821647 0.0196395i
\(736\) 2.44869i 0.0902598i
\(737\) 56.2783 32.4923i 2.07304 1.19687i
\(738\) −10.6761 + 22.6764i −0.392991 + 0.834729i
\(739\) −21.6281 12.4870i −0.795601 0.459340i 0.0463298 0.998926i \(-0.485247\pi\)
−0.841931 + 0.539586i \(0.818581\pi\)
\(740\) −0.264127 −0.00970951
\(741\) −23.2746 24.5660i −0.855014 0.902456i
\(742\) 1.13641 0.262868i 0.0417190 0.00965019i
\(743\) 11.5885 20.0719i 0.425142 0.736368i −0.571291 0.820747i \(-0.693557\pi\)
0.996434 + 0.0843791i \(0.0268907\pi\)
\(744\) −12.7928 + 4.00767i −0.469008 + 0.146928i
\(745\) 0.903872 0.521851i 0.0331153 0.0191191i
\(746\) −5.59041 −0.204679
\(747\) −27.6822 39.8459i −1.01284 1.45789i
\(748\) −12.9433 22.4184i −0.473253 0.819698i
\(749\) 30.2013 6.98598i 1.10353 0.255262i
\(750\) −3.18161 0.711497i −0.116176 0.0259802i
\(751\) 0.120286 0.208341i 0.00438929 0.00760248i −0.863822 0.503796i \(-0.831936\pi\)
0.868212 + 0.496194i \(0.165270\pi\)
\(752\) 2.60010 + 1.50117i 0.0948160 + 0.0547421i
\(753\) −16.2992 14.9908i −0.593977 0.546296i
\(754\) 21.4099 10.4698i 0.779704 0.381286i
\(755\) 2.50636 0.0912158
\(756\) −11.2328 + 7.92612i −0.408534 + 0.288270i
\(757\) −23.1169 + 40.0396i −0.840197 + 1.45526i 0.0495307 + 0.998773i \(0.484227\pi\)
−0.889728 + 0.456491i \(0.849106\pi\)
\(758\) 28.6697 16.5524i 1.04133 0.601211i
\(759\) −17.1850 + 18.6849i −0.623774 + 0.678217i
\(760\) −0.886490 + 0.511815i −0.0321564 + 0.0185655i
\(761\) 19.1333 11.0466i 0.693582 0.400440i −0.111371 0.993779i \(-0.535524\pi\)
0.804952 + 0.593339i \(0.202191\pi\)
\(762\) −4.81650 4.42986i −0.174483 0.160477i
\(763\) −4.84189 5.18789i −0.175288 0.187814i
\(764\) 7.34535 + 4.24084i 0.265745 + 0.153428i
\(765\) 1.04398 2.21746i 0.0377453 0.0801726i
\(766\) 7.19534i 0.259978i
\(767\) −6.02171 + 2.94470i −0.217431 + 0.106327i
\(768\) 1.27484 + 1.17251i 0.0460020 + 0.0423092i
\(769\) −27.1219 + 46.9765i −0.978040 + 1.69402i −0.308528 + 0.951215i \(0.599836\pi\)
−0.669513 + 0.742800i \(0.733497\pi\)
\(770\) −0.873409 + 2.86112i −0.0314755 + 0.103108i
\(771\) 4.06232 18.1655i 0.146301 0.654215i
\(772\) 1.08730i 0.0391327i
\(773\) 38.1638 22.0339i 1.37266 0.792504i 0.381395