Properties

Label 546.2.q.j.335.7
Level $546$
Weight $2$
Character 546.335
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 335.7
Character \(\chi\) \(=\) 546.335
Dual form 546.2.q.j.251.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.377999 - 1.69030i) q^{3} +(-0.500000 + 0.866025i) q^{4} +0.188901i q^{5} +(1.65284 - 0.517794i) q^{6} +(-2.53047 - 0.772472i) q^{7} -1.00000 q^{8} +(-2.71423 - 1.27786i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.377999 - 1.69030i) q^{3} +(-0.500000 + 0.866025i) q^{4} +0.188901i q^{5} +(1.65284 - 0.517794i) q^{6} +(-2.53047 - 0.772472i) q^{7} -1.00000 q^{8} +(-2.71423 - 1.27786i) 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} +(0.319300 + 0.0714045i) 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} +(-0.377999 + 1.69030i) q^{24} +4.96432 q^{25} +(2.01311 + 2.99122i) q^{26} +(-3.18595 + 4.10484i) q^{27} +(1.93422 - 1.80522i) q^{28} +(-5.72445 + 3.30501i) q^{29} +(0.0978120 + 0.312224i) q^{30} -7.73989 q^{31} +(0.500000 - 0.866025i) q^{32} +(-9.89308 + 3.09925i) q^{33} +4.32488 q^{34} +(0.145921 - 0.478010i) q^{35} +(2.46378 - 1.71166i) q^{36} +(1.21090 - 0.699114i) q^{37} +5.41886 q^{38} +(0.940833 - 6.17372i) q^{39} -0.188901i q^{40} +(7.23531 - 4.17731i) q^{41} +(-4.58245 + 0.0334879i) q^{42} +(-2.00968 + 3.48087i) q^{43} +5.98549 q^{44} +(0.241390 - 0.512723i) q^{45} +(-2.12062 - 1.22434i) q^{46} +3.00234i q^{47} +(-1.65284 + 0.517794i) q^{48} +(5.80657 + 3.90944i) q^{49} +(2.48216 + 4.29922i) q^{50} +(-5.51355 - 5.07095i) q^{51} +(-1.58392 + 3.23901i) q^{52} +0.440865i q^{53} +(-5.14787 - 0.706695i) q^{54} +(0.979187 - 0.565334i) q^{55} +(2.53047 + 0.772472i) 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} +(5.88118 + 5.33027i) 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} +(1.26791 + 4.04729i) q^{69} +(0.486929 - 0.112634i) q^{70} +(1.71090 - 2.96337i) q^{71} +(2.71423 + 1.27786i) q^{72} -7.64136 q^{73} +(1.21090 + 0.699114i) q^{74} +(1.87651 - 8.39119i) q^{75} +(2.70943 + 4.69287i) q^{76} +(3.56888 + 15.4287i) q^{77} +(5.81702 - 2.27208i) q^{78} -12.8725 q^{79} +(0.163593 - 0.0944507i) q^{80} +(5.73413 + 6.93684i) q^{81} +(7.23531 + 4.17731i) q^{82} +16.1727i q^{83} +(-2.32023 - 3.95178i) q^{84} +(0.707522 + 0.408488i) q^{85} -4.01936 q^{86} +(3.42263 + 10.9253i) q^{87} +(2.99275 + 5.18359i) q^{88} +(12.3724 - 7.14320i) q^{89} +(0.564726 - 0.0473112i) q^{90} +(-9.29358 - 2.15158i) q^{91} -2.44869i q^{92} +(-2.92567 + 13.0827i) 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} +(-0.482384 + 6.98336i) q^{98} +(1.49909 + 17.8938i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 12 q^{2} - 12 q^{4} - 18 q^{7} - 24 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 12 q^{2} - 12 q^{4} - 18 q^{7} - 24 q^{8} + 6 q^{9} + 12 q^{15} - 12 q^{16} - 6 q^{18} + 12 q^{21} - 36 q^{23} - 12 q^{25} + 18 q^{28} + 6 q^{30} + 12 q^{32} - 36 q^{35} - 12 q^{36} + 36 q^{37} + 12 q^{39} - 12 q^{42} - 42 q^{43} - 36 q^{46} - 6 q^{50} + 12 q^{51} + 18 q^{56} - 36 q^{57} - 6 q^{60} + 66 q^{63} + 24 q^{64} + 66 q^{65} - 54 q^{67} + 48 q^{71} - 6 q^{72} + 36 q^{74} - 12 q^{78} - 48 q^{79} - 6 q^{81} - 24 q^{84} - 84 q^{86} + 36 q^{91} + 54 q^{93} - 36 q^{95} + 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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
\(3\) 0.377999 1.69030i 0.218238 0.975896i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.188901i 0.0844793i 0.999108 + 0.0422396i \(0.0134493\pi\)
−0.999108 + 0.0422396i \(0.986551\pi\)
\(6\) 1.65284 0.517794i 0.674770 0.211388i
\(7\) −2.53047 0.772472i −0.956428 0.291967i
\(8\) −1.00000 −0.353553
\(9\) −2.71423 1.27786i −0.904745 0.425955i
\(10\) −0.163593 + 0.0944507i −0.0517328 + 0.0298679i
\(11\) −2.99275 5.18359i −0.902347 1.56291i −0.824440 0.565950i \(-0.808510\pi\)
−0.0779069 0.996961i \(-0.524824\pi\)
\(12\) 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
\(15\) 0.319300 + 0.0714045i 0.0824430 + 0.0184366i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 2.16244 3.74546i 0.524469 0.908407i −0.475125 0.879918i \(-0.657597\pi\)
0.999594 0.0284885i \(-0.00906940\pi\)
\(18\) −0.250454 2.98953i −0.0590326 0.704638i
\(19\) 2.70943 4.69287i 0.621586 1.07662i −0.367605 0.929982i \(-0.619822\pi\)
0.989190 0.146636i \(-0.0468447\pi\)
\(20\) −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 \(-0.748839\pi\)
0.262342 + 0.964975i \(0.415505\pi\)
\(24\) −0.377999 + 1.69030i −0.0771587 + 0.345031i
\(25\) 4.96432 0.992863
\(26\) 2.01311 + 2.99122i 0.394802 + 0.586627i
\(27\) −3.18595 + 4.10484i −0.613137 + 0.789977i
\(28\) 1.93422 1.80522i 0.365532 0.341154i
\(29\) −5.72445 + 3.30501i −1.06300 + 0.613725i −0.926262 0.376881i \(-0.876996\pi\)
−0.136742 + 0.990607i \(0.543663\pi\)
\(30\) 0.0978120 + 0.312224i 0.0178579 + 0.0570041i
\(31\) −7.73989 −1.39013 −0.695063 0.718949i \(-0.744624\pi\)
−0.695063 + 0.718949i \(0.744624\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −9.89308 + 3.09925i −1.72216 + 0.539510i
\(34\) 4.32488 0.741711
\(35\) 0.145921 0.478010i 0.0246652 0.0807984i
\(36\) 2.46378 1.71166i 0.410630 0.285277i
\(37\) 1.21090 0.699114i 0.199071 0.114934i −0.397151 0.917753i \(-0.630001\pi\)
0.596222 + 0.802820i \(0.296668\pi\)
\(38\) 5.41886 0.879055
\(39\) 0.940833 6.17372i 0.150654 0.988587i
\(40\) 0.188901i 0.0298679i
\(41\) 7.23531 4.17731i 1.12996 0.652386i 0.186039 0.982542i \(-0.440435\pi\)
0.943926 + 0.330157i \(0.107102\pi\)
\(42\) −4.58245 + 0.0334879i −0.707088 + 0.00516729i
\(43\) −2.00968 + 3.48087i −0.306473 + 0.530827i −0.977588 0.210526i \(-0.932482\pi\)
0.671115 + 0.741353i \(0.265816\pi\)
\(44\) 5.98549 0.902347
\(45\) 0.241390 0.512723i 0.0359843 0.0764322i
\(46\) −2.12062 1.22434i −0.312669 0.180520i
\(47\) 3.00234i 0.437936i 0.975732 + 0.218968i \(0.0702691\pi\)
−0.975732 + 0.218968i \(0.929731\pi\)
\(48\) −1.65284 + 0.517794i −0.238567 + 0.0747371i
\(49\) 5.80657 + 3.90944i 0.829511 + 0.558491i
\(50\) 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 \(0.990361\pi\)
\(54\) −5.14787 0.706695i −0.700537 0.0961690i
\(55\) 0.979187 0.565334i 0.132034 0.0762296i
\(56\) 2.53047 + 0.772472i 0.338149 + 0.103226i
\(57\) −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 0.601130 0.799151i \(-0.294717\pi\)
−0.391520 + 0.920170i \(0.628051\pi\)
\(60\) −0.221488 + 0.240820i −0.0285940 + 0.0310897i
\(61\) 1.69169 + 0.976699i 0.216599 + 0.125053i 0.604374 0.796700i \(-0.293423\pi\)
−0.387776 + 0.921754i \(0.626756\pi\)
\(62\) −3.86995 6.70294i −0.491484 0.851275i
\(63\) 5.88118 + 5.33027i 0.740959 + 0.671551i
\(64\) 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 0.200125 0.979770i \(-0.435865\pi\)
0.948569 + 0.316572i \(0.102532\pi\)
\(68\) 2.16244 + 3.74546i 0.262234 + 0.454203i
\(69\) 1.26791 + 4.04729i 0.152639 + 0.487237i
\(70\) 0.486929 0.112634i 0.0581992 0.0134623i
\(71\) 1.71090 2.96337i 0.203047 0.351687i −0.746462 0.665428i \(-0.768249\pi\)
0.949509 + 0.313741i \(0.101582\pi\)
\(72\) 2.71423 + 1.27786i 0.319875 + 0.150598i
\(73\) −7.64136 −0.894354 −0.447177 0.894446i \(-0.647571\pi\)
−0.447177 + 0.894446i \(0.647571\pi\)
\(74\) 1.21090 + 0.699114i 0.140764 + 0.0812704i
\(75\) 1.87651 8.39119i 0.216680 0.968931i
\(76\) 2.70943 + 4.69287i 0.310793 + 0.538309i
\(77\) 3.56888 + 15.4287i 0.406712 + 1.75827i
\(78\) 5.81702 2.27208i 0.658647 0.257262i
\(79\) −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
\(81\) 5.73413 + 6.93684i 0.637125 + 0.770760i
\(82\) 7.23531 + 4.17731i 0.799006 + 0.461306i
\(83\) 16.1727i 1.77518i 0.460633 + 0.887591i \(0.347623\pi\)
−0.460633 + 0.887591i \(0.652377\pi\)
\(84\) −2.32023 3.95178i −0.253158 0.431174i
\(85\) 0.707522 + 0.408488i 0.0767415 + 0.0443067i
\(86\) −4.01936 −0.433418
\(87\) 3.42263 + 10.9253i 0.366944 + 1.17132i
\(88\) 2.99275 + 5.18359i 0.319028 + 0.552572i
\(89\) 12.3724 7.14320i 1.31147 0.757178i 0.329131 0.944284i \(-0.393244\pi\)
0.982340 + 0.187107i \(0.0599110\pi\)
\(90\) 0.564726 0.0473112i 0.0595273 0.00498703i
\(91\) −9.29358 2.15158i −0.974232 0.225546i
\(92\) 2.44869i 0.255293i
\(93\) −2.92567 + 13.0827i −0.303378 + 1.35662i
\(94\) −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 −0.0710561 0.997472i \(-0.522637\pi\)
0.899364 0.437200i \(-0.144030\pi\)
\(98\) −0.482384 + 6.98336i −0.0487281 + 0.705426i
\(99\) 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 0.965290 0.261179i \(-0.0841113\pi\)
−0.708833 + 0.705377i \(0.750778\pi\)
\(102\) 1.63480 7.31035i 0.161869 0.723832i
\(103\) 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 \(-0.475028\pi\)
0.902548 + 0.430590i \(0.141694\pi\)
\(108\) −1.96192 4.81154i −0.188786 0.462990i
\(109\) 2.68217i 0.256905i −0.991716 0.128453i \(-0.958999\pi\)
0.991716 0.128453i \(-0.0410010\pi\)
\(110\) 0.979187 + 0.565334i 0.0933618 + 0.0539025i
\(111\) −0.723994 2.31105i −0.0687184 0.219355i
\(112\) 0.596256 + 2.57769i 0.0563409 + 0.243569i
\(113\) −2.91954 1.68560i −0.274647 0.158567i 0.356351 0.934352i \(-0.384021\pi\)
−0.630998 + 0.775785i \(0.717354\pi\)
\(114\) 2.04832 9.15950i 0.191843 0.857866i
\(115\) −0.231280 0.400589i −0.0215670 0.0373551i
\(116\) 6.61002i 0.613725i
\(117\) −10.0798 3.92395i −0.931879 0.362769i
\(118\) 1.85912i 0.171146i
\(119\) −8.36525 + 7.80735i −0.766842 + 0.715698i
\(120\) −0.319300 0.0714045i −0.0291480 0.00651831i
\(121\) −12.4130 + 21.5000i −1.12846 + 1.95455i
\(122\) 1.95340i 0.176852i
\(123\) −4.32597 13.8089i −0.390059 1.24510i
\(124\) 3.86995 6.70294i 0.347531 0.601942i
\(125\) 1.88227i 0.168356i
\(126\) −1.67556 + 7.75838i −0.149271 + 0.691172i
\(127\) 1.88905 + 3.27194i 0.167626 + 0.290338i 0.937585 0.347756i \(-0.113056\pi\)
−0.769958 + 0.638094i \(0.779723\pi\)
\(128\) 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 \(0.335549\pi\)
\(132\) 2.26251 10.1173i 0.196926 0.880596i
\(133\) −10.4812 + 9.78222i −0.908839 + 0.848226i
\(134\) 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 \(-0.741393\pi\)
0.972570 + 0.232610i \(0.0747267\pi\)
\(138\) −2.87110 + 3.12169i −0.244404 + 0.265736i
\(139\) 1.01358 + 0.585188i 0.0859704 + 0.0496350i 0.542369 0.840140i \(-0.317528\pi\)
−0.456399 + 0.889775i \(0.650861\pi\)
\(140\) 0.341008 + 0.365376i 0.0288204 + 0.0308799i
\(141\) 5.07486 + 1.13488i 0.427380 + 0.0955743i
\(142\) 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
\(147\) 8.80300 8.33710i 0.726059 0.687632i
\(148\) 1.39823i 0.114934i
\(149\) −2.76256 + 4.78489i −0.226317 + 0.391993i −0.956714 0.291030i \(-0.906002\pi\)
0.730396 + 0.683023i \(0.239335\pi\)
\(150\) 8.20523 2.57049i 0.669955 0.209880i
\(151\) 13.2681i 1.07974i −0.841748 0.539871i \(-0.818473\pi\)
0.841748 0.539871i \(-0.181527\pi\)
\(152\) −2.70943 + 4.69287i −0.219764 + 0.380642i
\(153\) −10.6556 + 7.40274i −0.861450 + 0.598476i
\(154\) −11.5772 + 10.8051i −0.932920 + 0.870701i
\(155\) 1.46208i 0.117437i
\(156\) 4.87618 + 3.90165i 0.390407 + 0.312382i
\(157\) 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
\(159\) 0.745194 + 0.166646i 0.0590977 + 0.0132159i
\(160\) 0.163593 + 0.0944507i 0.0129332 + 0.00746698i
\(161\) 6.31195 1.46004i 0.497451 0.115067i
\(162\) −3.14042 + 8.43432i −0.246734 + 0.662663i
\(163\) −3.26377 1.88434i −0.255638 0.147593i 0.366705 0.930337i \(-0.380486\pi\)
−0.622343 + 0.782744i \(0.713819\pi\)
\(164\) 8.35461i 0.652386i
\(165\) −0.585453 1.86882i −0.0455774 0.145487i
\(166\) −14.0059 + 8.08634i −1.08707 + 0.627622i
\(167\) 17.4109 10.0522i 1.34730 0.777862i 0.359431 0.933172i \(-0.382971\pi\)
0.987866 + 0.155309i \(0.0496374\pi\)
\(168\) 2.26223 3.98526i 0.174534 0.307470i
\(169\) 12.8772 1.78261i 0.990554 0.137124i
\(170\) 0.816976i 0.0626592i
\(171\) −13.3509 + 9.27526i −1.02097 + 0.709297i
\(172\) −2.00968 3.48087i −0.153237 0.265414i
\(173\) −8.26915 + 14.3226i −0.628692 + 1.08893i 0.359123 + 0.933290i \(0.383076\pi\)
−0.987815 + 0.155636i \(0.950257\pi\)
\(174\) −7.75030 + 8.42675i −0.587549 + 0.638830i
\(175\) −12.5621 3.83479i −0.949603 0.289883i
\(176\) −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 \(-0.840795\pi\)
−0.0234391 + 0.999725i \(0.507462\pi\)
\(180\) 0.323336 + 0.465411i 0.0241000 + 0.0346897i
\(181\) 19.5377i 1.45222i 0.687576 + 0.726112i \(0.258675\pi\)
−0.687576 + 0.726112i \(0.741325\pi\)
\(182\) −2.78347 9.12427i −0.206325 0.676336i
\(183\) 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
\(186\) −12.7928 + 4.00767i −0.938016 + 0.293856i
\(187\) −25.8865 −1.89301
\(188\) −2.60010 1.50117i −0.189632 0.109484i
\(189\) 11.2328 7.92612i 0.817068 0.576541i
\(190\) 1.02363i 0.0742620i
\(191\) 7.34535 + 4.24084i 0.531491 + 0.306856i 0.741623 0.670817i \(-0.234056\pi\)
−0.210133 + 0.977673i \(0.567390\pi\)
\(192\) 0.377999 1.69030i 0.0272797 0.121987i
\(193\) 0.941626 0.543648i 0.0677797 0.0391327i −0.465727 0.884928i \(-0.654207\pi\)
0.533507 + 0.845796i \(0.320874\pi\)
\(194\) 16.3158 1.17140
\(195\) 1.16622 + 0.177725i 0.0835151 + 0.0127271i
\(196\) −6.28896 + 3.07392i −0.449211 + 0.219566i
\(197\) −5.48398 9.49852i −0.390717 0.676742i 0.601827 0.798626i \(-0.294440\pi\)
−0.992544 + 0.121885i \(0.961106\pi\)
\(198\) −14.7469 + 10.2451i −1.04802 + 0.728091i
\(199\) 6.56897 + 3.79260i 0.465662 + 0.268850i 0.714422 0.699715i \(-0.246690\pi\)
−0.248760 + 0.968565i \(0.580023\pi\)
\(200\) −4.96432 −0.351030
\(201\) −5.62170 17.9450i −0.396524 1.26574i
\(202\) −2.57737 + 4.46413i −0.181343 + 0.314095i
\(203\) 17.0386 3.94126i 1.19587 0.276623i
\(204\) 7.14835 2.23940i 0.500485 0.156789i
\(205\) 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
\(210\) −0.00632590 0.865632i −0.000436529 0.0597343i
\(211\) −6.91977 11.9854i −0.476376 0.825108i 0.523257 0.852175i \(-0.324717\pi\)
−0.999634 + 0.0270666i \(0.991383\pi\)
\(212\) −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
\(217\) 19.5856 + 5.97885i 1.32956 + 0.405871i
\(218\) 2.32283 1.34108i 0.157322 0.0908296i
\(219\) −2.88843 + 12.9162i −0.195182 + 0.872796i
\(220\) 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 −0.916809 0.399326i \(-0.869244\pi\)
0.112578 0.993643i \(-0.464089\pi\)
\(224\) −1.93422 + 1.80522i −0.129235 + 0.120616i
\(225\) −13.4743 6.34372i −0.898288 0.422915i
\(226\) 3.37119i 0.224248i
\(227\) 13.1216 + 7.57576i 0.870911 + 0.502821i 0.867651 0.497174i \(-0.165629\pi\)
0.00326046 + 0.999995i \(0.498962\pi\)
\(228\) 8.95652 2.80585i 0.593160 0.185822i
\(229\) 14.1118 0.932534 0.466267 0.884644i \(-0.345599\pi\)
0.466267 + 0.884644i \(0.345599\pi\)
\(230\) 0.231280 0.400589i 0.0152502 0.0264140i
\(231\) 27.4282 0.200441i 1.80465 0.0131881i
\(232\) 5.72445 3.30501i 0.375829 0.216985i
\(233\) 25.4597i 1.66792i 0.551827 + 0.833959i \(0.313931\pi\)
−0.551827 + 0.833959i \(0.686069\pi\)
\(234\) −1.64167 10.6913i −0.107319 0.698915i
\(235\) −0.567146 −0.0369966
\(236\) −1.61004 + 0.929559i −0.104805 + 0.0605092i
\(237\) −4.86580 + 21.7584i −0.316068 + 1.41336i
\(238\) −10.9440 3.34085i −0.709393 0.216555i
\(239\) 13.2140 0.854746 0.427373 0.904075i \(-0.359439\pi\)
0.427373 + 0.904075i \(0.359439\pi\)
\(240\) −0.0978120 0.312224i −0.00631374 0.0201540i
\(241\) −2.98003 + 5.16157i −0.191961 + 0.332486i −0.945900 0.324458i \(-0.894818\pi\)
0.753939 + 0.656944i \(0.228151\pi\)
\(242\) −24.8261 −1.59588
\(243\) 13.8928 7.07028i 0.891226 0.453559i
\(244\) −1.69169 + 0.976699i −0.108299 + 0.0625267i
\(245\) −0.738498 + 1.09687i −0.0471809 + 0.0700765i
\(246\) 9.79584 10.6508i 0.624560 0.679072i
\(247\) 8.58305 17.5517i 0.546126 1.11679i
\(248\) 7.73989 0.491484
\(249\) 27.3367 + 6.11325i 1.73239 + 0.387412i
\(250\) −1.63010 + 0.941137i −0.103096 + 0.0595227i
\(251\) 6.39264 11.0724i 0.403500 0.698882i −0.590646 0.806931i \(-0.701127\pi\)
0.994146 + 0.108049i \(0.0344602\pi\)
\(252\) −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 0.648334 0.761356i \(-0.275466\pi\)
−0.983521 + 0.180795i \(0.942133\pi\)
\(258\) −1.51931 + 6.79392i −0.0945883 + 0.422971i
\(259\) −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 \(-0.560337\pi\)
0.756302 + 0.654222i \(0.227004\pi\)
\(264\) 9.89308 3.09925i 0.608877 0.190746i
\(265\) −0.0832800 −0.00511585
\(266\) −13.7123 4.18592i −0.840753 0.256655i
\(267\) −7.39741 23.6132i −0.452714 1.44510i
\(268\) 10.8570i 0.663199i
\(269\) −2.47776 + 4.29161i −0.151072 + 0.261664i −0.931622 0.363429i \(-0.881606\pi\)
0.780550 + 0.625093i \(0.214939\pi\)
\(270\) 0.133496 0.972440i 0.00812429 0.0591808i
\(271\) 9.08097 + 15.7287i 0.551629 + 0.955450i 0.998157 + 0.0606805i \(0.0193271\pi\)
−0.446528 + 0.894770i \(0.647340\pi\)
\(272\) −4.32488 −0.262234
\(273\) −7.14978 + 14.8957i −0.432724 + 0.901526i
\(274\) 6.66790 0.402822
\(275\) −14.8569 25.7330i −0.895907 1.55176i
\(276\) −4.13902 0.925601i −0.249139 0.0557146i
\(277\) 16.5270 28.6255i 0.993009 1.71994i 0.394276 0.918992i \(-0.370995\pi\)
0.598732 0.800949i \(-0.295671\pi\)
\(278\) 1.17038i 0.0701945i
\(279\) 21.0079 + 9.89053i 1.25771 + 0.592131i
\(280\) −0.145921 + 0.478010i −0.00872045 + 0.0285665i
\(281\) −15.9870 −0.953706 −0.476853 0.878983i \(-0.658223\pi\)
−0.476853 + 0.878983i \(0.658223\pi\)
\(282\) 1.55459 + 4.96240i 0.0925747 + 0.295506i
\(283\) 22.9867 13.2714i 1.36641 0.788900i 0.375947 0.926641i \(-0.377318\pi\)
0.990468 + 0.137741i \(0.0439842\pi\)
\(284\) 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
\(288\) −2.46378 + 1.71166i −0.145180 + 0.100861i
\(289\) −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 −0.999992 0.00388166i \(-0.998764\pi\)
−0.503358 0.864078i \(-0.667902\pi\)
\(294\) 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
\(297\) 30.8125 + 4.22992i 1.78792 + 0.245445i
\(298\) −5.52511 −0.320061
\(299\) −7.32456 + 4.92946i −0.423590 + 0.285078i
\(300\) 6.32873 + 5.82070i 0.365389 + 0.336058i
\(301\) 7.77431 7.25581i 0.448104 0.418218i
\(302\) 11.4905 6.63404i 0.661204 0.381746i
\(303\) 8.51996 2.66909i 0.489459 0.153335i
\(304\) −5.41886 −0.310793
\(305\) −0.184500 + 0.319563i −0.0105644 + 0.0182981i
\(306\) −11.7387 5.52661i −0.671059 0.315935i
\(307\) 0.176409 0.0100682 0.00503408 0.999987i \(-0.498398\pi\)
0.00503408 + 0.999987i \(0.498398\pi\)
\(308\) −15.1461 4.62362i −0.863030 0.263455i
\(309\) 0.830918 + 0.185817i 0.0472693 + 0.0105707i
\(310\) 1.26620 0.731038i 0.0719151 0.0415202i
\(311\) 11.5151 0.652960 0.326480 0.945204i \(-0.394137\pi\)
0.326480 + 0.945204i \(0.394137\pi\)
\(312\) −0.940833 + 6.17372i −0.0532642 + 0.349518i
\(313\) 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
\(315\) −1.00690 + 1.11096i −0.0567321 + 0.0625957i
\(316\) 6.43626 11.1479i 0.362068 0.627120i
\(317\) −20.9814 −1.17843 −0.589217 0.807975i \(-0.700564\pi\)
−0.589217 + 0.807975i \(0.700564\pi\)
\(318\) 0.228277 + 0.728680i 0.0128011 + 0.0408623i
\(319\) 34.2636 + 19.7821i 1.91840 + 1.10759i
\(320\) 0.188901i 0.0105599i
\(321\) −6.06668 19.3654i −0.338609 1.08087i
\(322\) 4.42041 + 4.73629i 0.246340 + 0.263943i
\(323\) −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
\(327\) −4.53367 1.01386i −0.250713 0.0560664i
\(328\) −7.23531 + 4.17731i −0.399503 + 0.230653i
\(329\) 2.31922 7.59734i 0.127863 0.418855i
\(330\) 1.32572 1.44142i 0.0729783 0.0793478i
\(331\) 4.41038 + 2.54633i 0.242416 + 0.139959i 0.616287 0.787522i \(-0.288636\pi\)
−0.373871 + 0.927481i \(0.621970\pi\)
\(332\) −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
\(336\) 4.58245 0.0334879i 0.249993 0.00182691i
\(337\) −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
\(342\) −14.7081 6.92457i −0.795320 0.374438i
\(343\) −11.6734 14.3781i −0.630307 0.776346i
\(344\) 2.00968 3.48087i 0.108355 0.187676i
\(345\) −0.764539 + 0.239511i −0.0411614 + 0.0128948i
\(346\) −16.5383 −0.889104
\(347\) −0.124936 0.0721316i −0.00670689 0.00387223i 0.496643 0.867955i \(-0.334566\pi\)
−0.503350 + 0.864083i \(0.667899\pi\)
\(348\) −11.1729 2.49858i −0.598932 0.133938i
\(349\) −13.3482 23.1197i −0.714511 1.23757i −0.963148 0.268973i \(-0.913316\pi\)
0.248636 0.968597i \(-0.420018\pi\)
\(350\) −2.96000 12.7965i −0.158219 0.684000i
\(351\) −10.4428 + 15.5547i −0.557396 + 0.830247i
\(352\) −5.98549 −0.319028
\(353\) −15.5551 + 8.98072i −0.827912 + 0.477995i −0.853137 0.521686i \(-0.825303\pi\)
0.0252249 + 0.999682i \(0.491970\pi\)
\(354\) 3.14247 + 0.702745i 0.167020 + 0.0373505i
\(355\) 0.559784 + 0.323192i 0.0297103 + 0.0171532i
\(356\) 14.2864i 0.757178i
\(357\) 10.0347 + 17.0910i 0.531093 + 0.904550i
\(358\) −12.0538 6.95929i −0.637065 0.367810i
\(359\) 23.0451 1.21627 0.608137 0.793832i \(-0.291917\pi\)
0.608137 + 0.793832i \(0.291917\pi\)
\(360\) −0.241390 + 0.512723i −0.0127224 + 0.0270229i
\(361\) −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
\(364\) 6.51011 6.97269i 0.341223 0.365468i
\(365\) 1.44346i 0.0755544i
\(366\) 3.30183 + 0.738382i 0.172589 + 0.0385959i
\(367\) −13.8828 + 8.01521i −0.724674 + 0.418391i −0.816471 0.577387i \(-0.804072\pi\)
0.0917966 + 0.995778i \(0.470739\pi\)
\(368\) 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
\(371\) 0.340556 1.11560i 0.0176808 0.0579188i
\(372\) −9.86716 9.07508i −0.511588 0.470521i
\(373\) 2.79520 4.84143i 0.144730 0.250680i −0.784542 0.620076i \(-0.787102\pi\)
0.929272 + 0.369396i \(0.120435\pi\)
\(374\) −12.9433 22.4184i −0.669280 1.15923i
\(375\) 3.18161 + 0.711497i 0.164298 + 0.0367416i
\(376\) 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 −0.999527 0.0307493i \(-0.990211\pi\)
−0.473134 + 0.880991i \(0.656877\pi\)
\(380\) −0.886490 + 0.511815i −0.0454760 + 0.0262556i
\(381\) 6.24462 1.95628i 0.319922 0.100223i
\(382\) 8.48168i 0.433960i
\(383\) 6.23135 + 3.59767i 0.318407 + 0.183832i 0.650682 0.759350i \(-0.274483\pi\)
−0.332275 + 0.943182i \(0.607816\pi\)
\(384\) 1.65284 0.517794i 0.0843463 0.0264235i
\(385\) −2.91451 + 0.674167i −0.148537 + 0.0343587i
\(386\) 0.941626 + 0.543648i 0.0479275 + 0.0276710i
\(387\) 9.90281 6.87979i 0.503388 0.349719i
\(388\) 8.15789 + 14.1299i 0.414154 + 0.717336i
\(389\) 3.50651i 0.177787i 0.996041 + 0.0888936i \(0.0283331\pi\)
−0.996041 + 0.0888936i \(0.971667\pi\)
\(390\) 0.429198 + 1.09884i 0.0217333 + 0.0556421i
\(391\) 10.5903i 0.535573i
\(392\) −5.80657 3.90944i −0.293276 0.197456i
\(393\) 4.27412 19.1126i 0.215601 0.964105i
\(394\) 5.48398 9.49852i 0.276279 0.478529i
\(395\) 2.43164i 0.122349i
\(396\) −16.2460 7.64864i −0.816393 0.384359i
\(397\) −13.1380 + 22.7557i −0.659378 + 1.14208i 0.321399 + 0.946944i \(0.395847\pi\)
−0.980777 + 0.195133i \(0.937486\pi\)
\(398\) 7.58519i 0.380211i
\(399\) 12.5730 + 21.4141i 0.629437 + 1.07205i
\(400\) −2.48216 4.29922i −0.124108 0.214961i
\(401\) 5.37427 + 9.30851i 0.268378 + 0.464845i 0.968443 0.249234i \(-0.0801790\pi\)
−0.700065 + 0.714079i \(0.746846\pi\)
\(402\) 12.7299 13.8410i 0.634912 0.690327i
\(403\) −27.8406 + 1.91787i −1.38684 + 0.0955358i
\(404\) −5.15473 −0.256458
\(405\) −1.31038 + 1.08318i −0.0651133 + 0.0538239i
\(406\) 11.9325 + 12.7852i 0.592201 + 0.634520i
\(407\) −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 \(-0.711961\pi\)
0.989893 + 0.141815i \(0.0452938\pi\)
\(410\) −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
\(413\) −3.35611 3.59594i −0.165144 0.176945i
\(414\) 4.19133 + 6.03302i 0.205992 + 0.296507i
\(415\) −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 −0.996147 0.0877004i \(-0.972048\pi\)
0.422123 0.906539i \(-0.361285\pi\)
\(420\) 0.746496 0.438294i 0.0364253 0.0213866i
\(421\) 34.1950i 1.66656i 0.552851 + 0.833280i \(0.313540\pi\)
−0.552851 + 0.833280i \(0.686460\pi\)
\(422\) 6.91977 11.9854i 0.336849 0.583440i
\(423\) 3.83658 8.14905i 0.186541 0.396221i
\(424\) 0.440865i 0.0214103i
\(425\) 10.7350 18.5936i 0.520726 0.901924i
\(426\) 1.29344 5.78387i 0.0626673 0.280230i
\(427\) −3.52631 3.77829i −0.170650 0.182844i
\(428\) 11.7164i 0.566334i
\(429\) −34.8177 + 13.5995i −1.68101 + 0.656589i
\(430\) 0.759262i 0.0366149i
\(431\) 0.197300 + 0.341734i 0.00950362 + 0.0164607i 0.870738 0.491747i \(-0.163642\pi\)
−0.861234 + 0.508208i \(0.830308\pi\)
\(432\) 5.14787 + 0.706695i 0.247677 + 0.0340009i
\(433\) 20.3742 + 11.7631i 0.979122 + 0.565296i 0.902005 0.431726i \(-0.142095\pi\)
0.0771170 + 0.997022i \(0.475428\pi\)
\(434\) 4.61496 + 19.9510i 0.221525 + 0.957680i
\(435\) −2.06381 + 0.646539i −0.0989521 + 0.0309992i
\(436\) 2.32283 + 1.34108i 0.111243 + 0.0642263i
\(437\) 13.2691i 0.634746i
\(438\) −12.6300 + 3.95665i −0.603483 + 0.189056i
\(439\) 4.95314 2.85970i 0.236400 0.136486i −0.377121 0.926164i \(-0.623086\pi\)
0.613521 + 0.789678i \(0.289753\pi\)
\(440\) −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 \(-0.0187494\pi\)
\(444\) 2.36343 + 0.528529i 0.112163 + 0.0250829i
\(445\) 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
\(448\) −2.53047 0.772472i −0.119554 0.0364959i
\(449\) −5.34379 + 9.25571i −0.252189 + 0.436804i −0.964128 0.265437i \(-0.914484\pi\)
0.711939 + 0.702241i \(0.247817\pi\)
\(450\) −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
\(453\) −22.4271 5.01532i −1.05372 0.235640i
\(454\) 15.1515i 0.711096i
\(455\) 0.406436 1.75557i 0.0190540 0.0823025i
\(456\) 6.90820 + 6.35365i 0.323506 + 0.297537i
\(457\) 6.26295 3.61591i 0.292968 0.169145i −0.346311 0.938120i \(-0.612566\pi\)
0.639280 + 0.768974i \(0.279233\pi\)
\(458\) 7.05590 + 12.2212i 0.329700 + 0.571058i
\(459\) 8.48507 + 20.8093i 0.396049 + 0.971296i
\(460\) 0.462560 0.0215670
\(461\) −22.2461 12.8438i −1.03610 0.598195i −0.117376 0.993088i \(-0.537448\pi\)
−0.918727 + 0.394893i \(0.870782\pi\)
\(462\) 13.8877 + 23.6533i 0.646114 + 1.10045i
\(463\) 17.8625i 0.830141i −0.909789 0.415070i \(-0.863757\pi\)
0.909789 0.415070i \(-0.136243\pi\)
\(464\) 5.72445 + 3.30501i 0.265751 + 0.153431i
\(465\) −2.47135 0.552663i −0.114606 0.0256292i
\(466\) −22.0487 + 12.7298i −1.02139 + 0.589698i
\(467\) 13.6813 0.633095 0.316547 0.948577i \(-0.397476\pi\)
0.316547 + 0.948577i \(0.397476\pi\)
\(468\) 8.43815 6.76740i 0.390053 0.312823i
\(469\) −27.9860 + 6.47356i −1.29228 + 0.298921i
\(470\) −0.283573 0.491163i −0.0130803 0.0226557i
\(471\) −27.1400 6.06927i −1.25055 0.279657i
\(472\) −1.61004 0.929559i −0.0741083 0.0427864i
\(473\) 24.0578 1.10618
\(474\) −21.2762 + 6.66531i −0.977250 + 0.306148i
\(475\) 13.4505 23.2969i 0.617150 1.06893i
\(476\) −2.57873 11.1482i −0.118196 0.510977i
\(477\) 0.563365 1.19661i 0.0257947 0.0547890i
\(478\) 6.60702 + 11.4437i 0.302198 + 0.523423i
\(479\) 2.54639 1.47016i 0.116348 0.0671733i −0.440697 0.897656i \(-0.645269\pi\)
0.557044 + 0.830483i \(0.311935\pi\)
\(480\) 0.221488 0.240820i 0.0101095 0.0109919i
\(481\) 4.18241 2.81478i 0.190701 0.128343i
\(482\) −5.96007 −0.271474
\(483\) −0.0820012 11.2210i −0.00373119 0.510573i
\(484\) −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 0.969914 + 0.243446i \(0.0782779\pi\)
0.695788 + 0.718247i \(0.255055\pi\)
\(488\) −1.69169 0.976699i −0.0765793 0.0442131i
\(489\) −4.41880 + 4.80448i −0.199825 + 0.217266i
\(490\) −1.31917 0.0911229i −0.0595939 0.00411651i
\(491\) −25.7266 + 14.8533i −1.16102 + 0.670318i −0.951549 0.307496i \(-0.900509\pi\)
−0.209475 + 0.977814i \(0.567176\pi\)
\(492\) 14.1218 + 3.15803i 0.636660 + 0.142375i
\(493\) 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
\(497\) −6.61850 + 6.17710i −0.296881 + 0.277081i
\(498\) 8.37411 + 26.7309i 0.375253 + 1.19784i
\(499\) 20.3400i 0.910543i 0.890353 + 0.455272i \(0.150458\pi\)
−0.890353 + 0.455272i \(0.849542\pi\)
\(500\) −1.63010 0.941137i −0.0729001 0.0420889i
\(501\) −10.4099 33.2294i −0.465081 1.48458i
\(502\) 12.7853 0.570635
\(503\) 6.55055 11.3459i 0.292075 0.505888i −0.682226 0.731142i \(-0.738988\pi\)
0.974300 + 0.225254i \(0.0723211\pi\)
\(504\) −5.88118 5.33027i −0.261968 0.237429i
\(505\) −0.843280 + 0.486868i −0.0375255 + 0.0216653i
\(506\) 14.6566i 0.651565i
\(507\) 1.85441 22.4402i 0.0823574 0.996603i
\(508\) −3.77811 −0.167626
\(509\) 0.0849695 0.0490572i 0.00376621 0.00217442i −0.498116 0.867111i \(-0.665975\pi\)
0.501882 + 0.864936i \(0.332641\pi\)
\(510\) 1.38094 + 0.308816i 0.0611488 + 0.0136746i
\(511\) 19.3362 + 5.90274i 0.855385 + 0.261122i
\(512\) −1.00000 −0.0441942
\(513\) 10.6314 + 26.0730i 0.469386 + 1.15115i
\(514\) 5.37346 9.30710i 0.237013 0.410519i
\(515\) −0.0928601 −0.00409191
\(516\) −6.64337 + 2.08120i −0.292458 + 0.0916196i
\(517\) 15.5629 8.98524i 0.684455 0.395170i
\(518\) −2.52411 2.70448i −0.110903 0.118828i
\(519\) 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 \(0.389558\pi\)
\(522\) 11.3141 + 16.2856i 0.495206 + 0.712803i
\(523\) 17.2591 9.96453i 0.754687 0.435719i −0.0726981 0.997354i \(-0.523161\pi\)
0.827385 + 0.561635i \(0.189828\pi\)
\(524\) −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
\(531\) −3.18219 4.58046i −0.138095 0.198775i
\(532\) −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
\(537\) 7.20695 + 23.0052i 0.311003 + 0.992748i
\(538\) −4.95553 −0.213648
\(539\) 2.88730 41.7988i 0.124365 1.80040i
\(540\) 0.908906 0.370609i 0.0391131 0.0159485i
\(541\) 14.9102i 0.641039i 0.947242 + 0.320520i \(0.103857\pi\)
−0.947242 + 0.320520i \(0.896143\pi\)
\(542\) −9.08097 + 15.7287i −0.390061 + 0.675605i
\(543\) 33.0246 + 7.38523i 1.41722 + 0.316930i
\(544\) −2.16244 3.74546i −0.0927139 0.160585i
\(545\) 0.506665 0.0217032
\(546\) −16.4749 + 1.25594i −0.705061 + 0.0537494i
\(547\) 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
\(549\) −3.34356 4.81274i −0.142700 0.205403i
\(550\) 14.8569 25.7330i 0.633502 1.09726i
\(551\) 35.8188i 1.52593i
\(552\) −1.26791 4.04729i −0.0539660 0.172264i
\(553\) 32.5735 + 9.94366i 1.38517 + 0.422847i
\(554\) 33.0539 1.40433
\(555\) 0.436561 0.136763i 0.0185310 0.00580528i
\(556\) −1.01358 + 0.585188i −0.0429852 + 0.0248175i
\(557\) 1.86994 + 3.23883i 0.0792319 + 0.137234i 0.902919 0.429811i \(-0.141420\pi\)
−0.823687 + 0.567045i \(0.808087\pi\)
\(558\) 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
\(561\) −9.78508 + 43.7560i −0.413127 + 1.84738i
\(562\) −7.99351 13.8452i −0.337186 0.584023i
\(563\) −11.4570 + 19.8442i −0.482856 + 0.836331i −0.999806 0.0196842i \(-0.993734\pi\)
0.516950 + 0.856016i \(0.327067\pi\)
\(564\) −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 \(-0.619741\pi\)
0.621784 + 0.783189i \(0.286408\pi\)
\(570\) 1.73024 + 0.386931i 0.0724719 + 0.0162068i
\(571\) −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
\(574\) −15.0819 16.1596i −0.629506 0.674490i
\(575\) −10.5274 + 6.07803i −0.439025 + 0.253471i
\(576\) −2.71423 1.27786i −0.113093 0.0532443i
\(577\) −13.4291 −0.559059 −0.279530 0.960137i \(-0.590179\pi\)
−0.279530 + 0.960137i \(0.590179\pi\)
\(578\) 0.852297 1.47622i 0.0354509 0.0614027i
\(579\) −0.562995 1.79713i −0.0233973 0.0746862i
\(580\) 1.24864 0.0518471
\(581\) 12.4929 40.9245i 0.518294 1.69783i
\(582\) 6.16735 27.5786i 0.255645 1.14317i
\(583\) 2.28526 1.31940i 0.0946458 0.0546438i
\(584\) 7.64136 0.316202
\(585\) 0.741240 1.90409i 0.0306465 0.0787245i
\(586\) 29.7142i 1.22748i
\(587\) −24.6198 + 14.2142i −1.01617 + 0.586684i −0.912991 0.407979i \(-0.866234\pi\)
−0.103175 + 0.994663i \(0.532900\pi\)
\(588\) 2.81864 + 11.7922i 0.116239 + 0.486301i
\(589\) −20.9707 + 36.3223i −0.864083 + 1.49664i
\(590\) −0.351190 −0.0144583
\(591\) −18.1283 + 5.67914i −0.745699 + 0.233608i
\(592\) −1.21090 0.699114i −0.0497677 0.0287334i
\(593\) 22.4962i 0.923810i −0.886929 0.461905i \(-0.847166\pi\)
0.886929 0.461905i \(-0.152834\pi\)
\(594\) 11.7431 + 28.7994i 0.481823 + 1.18165i
\(595\) −1.47482 1.58021i −0.0604617 0.0647822i
\(596\) −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 \(0.791514\pi\)
\(600\) −1.87651 + 8.39119i −0.0766080 + 0.342569i
\(601\) 15.1795 8.76391i 0.619186 0.357487i −0.157366 0.987540i \(-0.550300\pi\)
0.776552 + 0.630053i \(0.216967\pi\)
\(602\) 10.1709 + 3.10484i 0.414534 + 0.126544i
\(603\) −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 \(-0.251523\pi\)
−0.263438 + 0.964676i \(0.584856\pi\)
\(608\) −2.70943 4.69287i −0.109882 0.190321i
\(609\) −0.221356 30.2901i −0.00896978 1.22742i
\(610\) −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 −0.762252 0.647281i \(-0.775906\pi\)
0.179436 + 0.983770i \(0.442573\pi\)
\(614\) 0.0882043 + 0.152774i 0.00355964 + 0.00616547i
\(615\) 2.60851 0.817181i 0.105185 0.0329519i
\(616\) −3.56888 15.4287i −0.143794 0.621641i
\(617\) 12.5067 21.6622i 0.503499 0.872086i −0.496493 0.868041i \(-0.665379\pi\)
0.999992 0.00404517i \(-0.00128762\pi\)
\(618\) 0.254537 + 0.812504i 0.0102390 + 0.0326837i
\(619\) −30.6669 −1.23261 −0.616303 0.787509i \(-0.711370\pi\)
−0.616303 + 0.787509i \(0.711370\pi\)
\(620\) 1.26620 + 0.731038i 0.0508516 + 0.0293592i
\(621\) 1.73047 12.6055i 0.0694415 0.505842i
\(622\) 5.75754 + 9.97235i 0.230856 + 0.399855i
\(623\) −36.8259 + 8.51835i −1.47540 + 0.341280i
\(624\) −5.81702 + 2.27208i −0.232867 + 0.0909558i
\(625\) 24.4660 0.978641
\(626\) 8.24656 4.76115i 0.329599 0.190294i
\(627\) −12.2602 + 54.8241i −0.489626 + 2.18946i
\(628\) 13.9052 + 8.02816i 0.554877 + 0.320358i
\(629\) 6.04717i 0.241116i
\(630\) −1.46557 0.316515i −0.0583897 0.0126103i
\(631\) −10.3667 5.98521i −0.412691 0.238268i 0.279254 0.960217i \(-0.409913\pi\)
−0.691945 + 0.721950i \(0.743246\pi\)
\(632\) 12.8725 0.512041
\(633\) −22.8746 + 7.16602i −0.909183 + 0.284824i
\(634\) −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
\(637\) 21.8551 + 12.6235i 0.865931 + 0.500163i
\(638\) 39.5642i 1.56636i
\(639\) −8.43057 + 5.85697i −0.333508 + 0.231698i
\(640\) −0.163593 + 0.0944507i −0.00646660 + 0.00373349i
\(641\) 14.5471 + 8.39874i 0.574574 + 0.331730i 0.758974 0.651121i \(-0.225701\pi\)
−0.184400 + 0.982851i \(0.559034\pi\)
\(642\) 13.7376 14.9366i 0.542179 0.589500i
\(643\) −10.4978 + 18.1827i −0.413993 + 0.717057i −0.995322 0.0966114i \(-0.969200\pi\)
0.581329 + 0.813669i \(0.302533\pi\)
\(644\) −1.89154 + 6.19633i −0.0745371 + 0.244170i
\(645\) −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 0.861711 0.507400i \(-0.169393\pi\)
−0.870276 + 0.492564i \(0.836060\pi\)
\(648\) −5.73413 6.93684i −0.225258 0.272505i
\(649\) 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 \(-0.548696\pi\)
0.779718 + 0.626130i \(0.215362\pi\)
\(654\) −1.38881 4.43320i −0.0543067 0.173352i
\(655\) 2.13595i 0.0834586i
\(656\) −7.23531 4.17731i −0.282491 0.163096i
\(657\) 20.7404 + 9.76462i 0.809162 + 0.380954i
\(658\) 7.73910 1.79016i 0.301702 0.0697878i
\(659\) 0.282523 + 0.163115i 0.0110055 + 0.00635405i 0.505493 0.862831i \(-0.331311\pi\)
−0.494487 + 0.869185i \(0.664644\pi\)
\(660\) 1.91117 + 0.427391i 0.0743921 + 0.0166362i
\(661\) 4.09057 + 7.08508i 0.159105 + 0.275578i 0.934546 0.355842i \(-0.115806\pi\)
−0.775441 + 0.631420i \(0.782473\pi\)
\(662\) 5.09266i 0.197932i
\(663\) −21.0889 16.8742i −0.819025 0.655338i
\(664\) 16.1727i 0.627622i
\(665\) −1.84787 1.97992i −0.0716575 0.0767781i
\(666\) −2.39330 3.44493i −0.0927383 0.133488i
\(667\) 8.09294 14.0174i 0.313360 0.542755i
\(668\) 20.1044i 0.777862i
\(669\) −39.7004 + 12.4371i −1.53491 + 0.480847i
\(670\) −1.02545 + 1.77614i −0.0396167 + 0.0686182i
\(671\) 11.6920i 0.451366i
\(672\) 2.32023 + 3.95178i 0.0895047 + 0.152443i
\(673\) −4.89481 8.47806i −0.188681 0.326805i 0.756130 0.654422i \(-0.227088\pi\)
−0.944811 + 0.327617i \(0.893755\pi\)
\(674\) −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 \(0.281834\pi\)
\(678\) −5.69833 1.27431i −0.218843 0.0489394i
\(679\) −31.5582 + 29.4535i −1.21109 + 1.13032i
\(680\) −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 0.0421178 + 0.999113i \(0.486590\pi\)
−0.886316 + 0.463081i \(0.846744\pi\)
\(684\) −1.35718 16.1998i −0.0518929 0.619416i
\(685\) 1.09082 + 0.629788i 0.0416783 + 0.0240630i
\(686\) 6.61511 17.2986i 0.252566 0.660462i
\(687\) 5.33424 23.8532i 0.203514 0.910056i
\(688\) 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 0.909959 + 0.414697i \(0.136112\pi\)
−0.0958414 + 0.995397i \(0.530554\pi\)
\(692\) −8.26915 14.3226i −0.314346 0.544463i
\(693\) 10.0290 46.4377i 0.380972 1.76402i
\(694\) 0.144263i 0.00547616i
\(695\) −0.110543 + 0.191466i −0.00419313 + 0.00726272i
\(696\) −3.42263 10.9253i −0.129734 0.414124i
\(697\) 36.1327i 1.36862i
\(698\) 13.3482 23.1197i 0.505236 0.875094i
\(699\) 43.0345 + 9.62373i 1.62771 + 0.364003i
\(700\) 9.60206 8.96167i 0.362924 0.338719i
\(701\) 8.82186i 0.333197i −0.986025 0.166598i \(-0.946722\pi\)
0.986025 0.166598i \(-0.0532784\pi\)
\(702\) −18.6921 1.26641i −0.705489 0.0477976i
\(703\) 7.57680i 0.285765i
\(704\) −2.99275 5.18359i −0.112793 0.195364i
\(705\) −0.214381 + 0.958648i −0.00807405 + 0.0361048i
\(706\) −15.5551 8.98072i −0.585422 0.337994i
\(707\) −3.07354 13.2873i −0.115592 0.499720i
\(708\) 0.962640 + 3.07283i 0.0361782 + 0.115484i
\(709\) −1.61792 0.934109i −0.0607624 0.0350812i 0.469311 0.883033i \(-0.344502\pi\)
−0.530073 + 0.847952i \(0.677836\pi\)
\(710\) 0.646383i 0.0242583i
\(711\) 34.9390 + 16.4493i 1.31032 + 0.616898i
\(712\) −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
\(717\) 4.99490 22.3357i 0.186538 0.834143i
\(718\) 11.5225 + 19.9576i 0.430018 + 0.744813i
\(719\) −2.94341 + 5.09814i −0.109771 + 0.190129i −0.915677 0.401914i \(-0.868345\pi\)
0.805907 + 0.592043i \(0.201678\pi\)
\(720\) −0.564726 + 0.0473112i −0.0210461 + 0.00176318i
\(721\) 0.379732 1.24393i 0.0141419 0.0463263i
\(722\) 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
\(726\) −9.38424 + 41.9636i −0.348282 + 1.55741i
\(727\) 12.7622i 0.473322i 0.971592 + 0.236661i \(0.0760531\pi\)
−0.971592 + 0.236661i \(0.923947\pi\)
\(728\) 9.29358 + 2.15158i 0.344443 + 0.0797427i
\(729\) −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
\(732\) 1.01146 + 3.22866i 0.0373845 + 0.119335i
\(733\) −8.94011 −0.330210 −0.165105 0.986276i \(-0.552796\pi\)
−0.165105 + 0.986276i \(0.552796\pi\)
\(734\) −13.8828 8.01521i −0.512422 0.295847i
\(735\) 1.57489 + 1.66290i 0.0580907 + 0.0613370i
\(736\) 2.44869i 0.0902598i
\(737\) −56.2783 32.4923i −2.07304 1.19687i
\(738\) −14.3003 20.5839i −0.526401 0.757705i
\(739\) −21.6281 + 12.4870i −0.795601 + 0.459340i −0.841931 0.539586i \(-0.818581\pi\)
0.0463298 + 0.998926i \(0.485247\pi\)
\(740\) −0.264127 −0.00970951
\(741\) −26.4234 21.1425i −0.970686 0.776688i
\(742\) 1.13641 0.262868i 0.0417190 0.00965019i
\(743\) −11.5885 20.0719i −0.425142 0.736368i 0.571291 0.820747i \(-0.306443\pi\)
−0.996434 + 0.0843791i \(0.973109\pi\)
\(744\) 2.92567 13.0827i 0.107260 0.479637i
\(745\) −0.903872 0.521851i −0.0331153 0.0191191i
\(746\) 5.59041 0.204679
\(747\) 20.6665 43.8964i 0.756147 1.60609i
\(748\) 12.9433 22.4184i 0.473253 0.819698i
\(749\) −30.2013 + 6.98598i −1.10353 + 0.255262i
\(750\) 0.974629 + 3.11110i 0.0355884 + 0.113601i
\(751\) 0.120286 + 0.208341i 0.00438929 + 0.00760248i 0.868212 0.496194i \(-0.165270\pi\)
−0.863822 + 0.503796i \(0.831936\pi\)
\(752\) 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
\(756\) 1.24781 + 13.6910i 0.0453823 + 0.497936i
\(757\) −23.1169 40.0396i −0.840197 1.45526i −0.889728 0.456491i \(-0.849106\pi\)
0.0495307 0.998773i \(-0.484227\pi\)
\(758\) −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 0.804952 0.593339i \(-0.202191\pi\)
−0.111371 + 0.993779i \(0.535524\pi\)
\(762\) 4.81650 + 4.42986i 0.174483 + 0.160477i
\(763\) −2.07190 + 6.78715i −0.0750078 + 0.245711i
\(764\) −7.34535 + 4.24084i −0.265745 + 0.153428i
\(765\) −1.39839 2.01285i −0.0505588 0.0727747i
\(766\) 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 0.669513 + 0.742800i \(0.266503\pi\)
0.308528 + 0.951215i \(0.400164\pi\)
\(770\) −2.04110 2.18696i −0.0735562 0.0788124i
\(771\) −17.7630 + 5.56468i −0.639717 + 0.200407i
\(772\) 1.08730i 0.0391327i
\(773\) 38.1638 + 22.0339i 1.37266 + 0.792504i