Properties

Label 384.2.v.a.13.11
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.11
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.612256 - 1.27481i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(-1.25028 + 1.56102i) q^{4} +(0.189500 + 1.92402i) q^{5} +(-1.04219 + 0.955951i) q^{6} +(0.476963 - 0.713825i) q^{7} +(2.75550 + 0.638130i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-0.612256 - 1.27481i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(-1.25028 + 1.56102i) q^{4} +(0.189500 + 1.92402i) q^{5} +(-1.04219 + 0.955951i) q^{6} +(0.476963 - 0.713825i) q^{7} +(2.75550 + 0.638130i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(2.33674 - 1.41957i) q^{10} +(1.06219 - 0.567753i) q^{11} +(1.85674 + 0.743307i) q^{12} +(2.36283 + 0.232719i) q^{13} +(-1.20202 - 0.170993i) q^{14} +(1.78617 - 0.739855i) q^{15} +(-0.873578 - 3.90344i) q^{16} +(2.31292 + 0.958043i) q^{17} +(1.21732 + 0.719815i) q^{18} +(5.82696 - 4.78206i) q^{19} +(-3.24037 - 2.10976i) q^{20} +(-0.821543 - 0.249212i) q^{21} +(-1.37411 - 1.00648i) q^{22} +(-0.204164 + 1.02640i) q^{23} +(-0.189227 - 2.82209i) q^{24} +(1.23797 - 0.246247i) q^{25} +(-1.14999 - 3.15465i) q^{26} +(0.773010 + 0.634393i) q^{27} +(0.517958 + 1.63703i) q^{28} +(-0.377671 + 0.706573i) q^{29} +(-2.03677 - 1.82404i) q^{30} +(2.13037 - 2.13037i) q^{31} +(-4.44130 + 3.50355i) q^{32} +(-0.851643 - 0.851643i) q^{33} +(-0.194777 - 3.53511i) q^{34} +(1.46380 + 0.782418i) q^{35} +(0.172316 - 1.99256i) q^{36} +(-0.783750 + 0.955002i) q^{37} +(-9.66381 - 4.50042i) q^{38} +(-0.463196 - 2.32864i) q^{39} +(-0.705611 + 5.42258i) q^{40} +(-9.21349 - 1.83268i) q^{41} +(0.185296 + 1.19989i) q^{42} +(2.08700 - 6.87991i) q^{43} +(-0.441766 + 2.36796i) q^{44} +(-1.22649 - 1.49449i) q^{45} +(1.43347 - 0.368150i) q^{46} +(-2.53591 + 6.12224i) q^{47} +(-3.48177 + 1.96907i) q^{48} +(2.39673 + 5.78622i) q^{49} +(-1.07187 - 1.42741i) q^{50} +(0.245385 - 2.49143i) q^{51} +(-3.31749 + 3.39747i) q^{52} +(1.02350 + 1.91484i) q^{53} +(0.335451 - 1.37385i) q^{54} +(1.29366 + 1.93609i) q^{55} +(1.76978 - 1.66258i) q^{56} +(-6.26762 - 4.18789i) q^{57} +(1.13198 + 0.0488553i) q^{58} +(4.98169 - 0.490653i) q^{59} +(-1.07829 + 3.71328i) q^{60} +(4.04828 - 1.22803i) q^{61} +(-4.02015 - 1.41149i) q^{62} +0.858510i q^{63} +(7.18558 + 3.51674i) q^{64} +4.59025i q^{65} +(-0.564260 + 1.60711i) q^{66} +(3.74011 - 1.13455i) q^{67} +(-4.38734 + 2.41269i) q^{68} +(1.04147 - 0.102576i) q^{69} +(0.101213 - 2.34511i) q^{70} +(13.0171 + 8.69775i) q^{71} +(-2.64564 + 1.00029i) q^{72} +(-2.96864 - 4.44289i) q^{73} +(1.69730 + 0.414427i) q^{74} +(-0.595006 - 1.11318i) q^{75} +(0.179547 + 15.0749i) q^{76} +(0.101349 - 1.02902i) q^{77} +(-2.68499 + 2.01621i) q^{78} +(2.08586 + 5.03571i) q^{79} +(7.34478 - 2.42049i) q^{80} +(0.382683 - 0.923880i) q^{81} +(3.30470 + 12.8675i) q^{82} +(-5.32161 - 6.48441i) q^{83} +(1.41619 - 0.970860i) q^{84} +(-1.40500 + 4.63167i) q^{85} +(-10.0484 + 1.55174i) q^{86} +(0.785780 + 0.156301i) q^{87} +(3.28917 - 0.886628i) q^{88} +(-0.166186 - 0.835474i) q^{89} +(-1.15426 + 2.47856i) q^{90} +(1.29310 - 1.57565i) q^{91} +(-1.34697 - 1.60200i) q^{92} +(-2.65705 - 1.42022i) q^{93} +(9.35733 - 0.515569i) q^{94} +(10.3050 + 10.3050i) q^{95} +(4.64193 + 3.23303i) q^{96} +(-11.0074 + 11.0074i) q^{97} +(5.90892 - 6.59803i) q^{98} +(-0.567753 + 1.06219i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.612256 1.27481i −0.432931 0.901427i
\(3\) −0.290285 0.956940i −0.167596 0.552490i
\(4\) −1.25028 + 1.56102i −0.625142 + 0.780511i
\(5\) 0.189500 + 1.92402i 0.0847469 + 0.860450i 0.939758 + 0.341840i \(0.111050\pi\)
−0.855011 + 0.518610i \(0.826450\pi\)
\(6\) −1.04219 + 0.955951i −0.425472 + 0.390265i
\(7\) 0.476963 0.713825i 0.180275 0.269801i −0.730316 0.683110i \(-0.760627\pi\)
0.910591 + 0.413309i \(0.135627\pi\)
\(8\) 2.75550 + 0.638130i 0.974217 + 0.225613i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) 2.33674 1.41957i 0.738944 0.448908i
\(11\) 1.06219 0.567753i 0.320263 0.171184i −0.303430 0.952854i \(-0.598132\pi\)
0.623692 + 0.781670i \(0.285632\pi\)
\(12\) 1.85674 + 0.743307i 0.535996 + 0.214574i
\(13\) 2.36283 + 0.232719i 0.655332 + 0.0645445i 0.420218 0.907423i \(-0.361954\pi\)
0.235114 + 0.971968i \(0.424454\pi\)
\(14\) −1.20202 0.170993i −0.321252 0.0456998i
\(15\) 1.78617 0.739855i 0.461187 0.191030i
\(16\) −0.873578 3.90344i −0.218395 0.975861i
\(17\) 2.31292 + 0.958043i 0.560966 + 0.232360i 0.645104 0.764094i \(-0.276814\pi\)
−0.0841386 + 0.996454i \(0.526814\pi\)
\(18\) 1.21732 + 0.719815i 0.286925 + 0.169662i
\(19\) 5.82696 4.78206i 1.33680 1.09708i 0.349714 0.936856i \(-0.386279\pi\)
0.987081 0.160223i \(-0.0512214\pi\)
\(20\) −3.24037 2.10976i −0.724569 0.471758i
\(21\) −0.821543 0.249212i −0.179275 0.0543826i
\(22\) −1.37411 1.00648i −0.292961 0.214583i
\(23\) −0.204164 + 1.02640i −0.0425711 + 0.214019i −0.996216 0.0869159i \(-0.972299\pi\)
0.953645 + 0.300935i \(0.0972989\pi\)
\(24\) −0.189227 2.82209i −0.0386259 0.576057i
\(25\) 1.23797 0.246247i 0.247593 0.0492493i
\(26\) −1.14999 3.15465i −0.225531 0.618677i
\(27\) 0.773010 + 0.634393i 0.148766 + 0.122089i
\(28\) 0.517958 + 1.63703i 0.0978848 + 0.309370i
\(29\) −0.377671 + 0.706573i −0.0701317 + 0.131207i −0.914544 0.404487i \(-0.867450\pi\)
0.844412 + 0.535694i \(0.179950\pi\)
\(30\) −2.03677 1.82404i −0.371861 0.333024i
\(31\) 2.13037 2.13037i 0.382626 0.382626i −0.489421 0.872047i \(-0.662792\pi\)
0.872047 + 0.489421i \(0.162792\pi\)
\(32\) −4.44130 + 3.50355i −0.785118 + 0.619347i
\(33\) −0.851643 0.851643i −0.148252 0.148252i
\(34\) −0.194777 3.53511i −0.0334040 0.606266i
\(35\) 1.46380 + 0.782418i 0.247428 + 0.132253i
\(36\) 0.172316 1.99256i 0.0287194 0.332094i
\(37\) −0.783750 + 0.955002i −0.128848 + 0.157001i −0.833438 0.552613i \(-0.813631\pi\)
0.704590 + 0.709614i \(0.251131\pi\)
\(38\) −9.66381 4.50042i −1.56768 0.730064i
\(39\) −0.463196 2.32864i −0.0741707 0.372881i
\(40\) −0.705611 + 5.42258i −0.111567 + 0.857385i
\(41\) −9.21349 1.83268i −1.43891 0.286216i −0.586862 0.809687i \(-0.699637\pi\)
−0.852043 + 0.523471i \(0.824637\pi\)
\(42\) 0.185296 + 1.19989i 0.0285918 + 0.185148i
\(43\) 2.08700 6.87991i 0.318264 1.04918i −0.641207 0.767368i \(-0.721566\pi\)
0.959471 0.281808i \(-0.0909341\pi\)
\(44\) −0.441766 + 2.36796i −0.0665987 + 0.356983i
\(45\) −1.22649 1.49449i −0.182835 0.222785i
\(46\) 1.43347 0.368150i 0.211353 0.0542808i
\(47\) −2.53591 + 6.12224i −0.369901 + 0.893020i 0.623865 + 0.781532i \(0.285562\pi\)
−0.993766 + 0.111488i \(0.964438\pi\)
\(48\) −3.48177 + 1.96907i −0.502551 + 0.284211i
\(49\) 2.39673 + 5.78622i 0.342390 + 0.826603i
\(50\) −1.07187 1.42741i −0.151585 0.201866i
\(51\) 0.245385 2.49143i 0.0343607 0.348870i
\(52\) −3.31749 + 3.39747i −0.460053 + 0.471144i
\(53\) 1.02350 + 1.91484i 0.140589 + 0.263023i 0.942355 0.334615i \(-0.108606\pi\)
−0.801766 + 0.597638i \(0.796106\pi\)
\(54\) 0.335451 1.37385i 0.0456491 0.186958i
\(55\) 1.29366 + 1.93609i 0.174436 + 0.261063i
\(56\) 1.76978 1.66258i 0.236497 0.222172i
\(57\) −6.26762 4.18789i −0.830167 0.554700i
\(58\) 1.13198 + 0.0488553i 0.148636 + 0.00641502i
\(59\) 4.98169 0.490653i 0.648560 0.0638776i 0.231613 0.972808i \(-0.425600\pi\)
0.416948 + 0.908930i \(0.363100\pi\)
\(60\) −1.07829 + 3.71328i −0.139206 + 0.479382i
\(61\) 4.04828 1.22803i 0.518330 0.157234i −0.0202714 0.999795i \(-0.506453\pi\)
0.538601 + 0.842561i \(0.318953\pi\)
\(62\) −4.02015 1.41149i −0.510560 0.179259i
\(63\) 0.858510i 0.108162i
\(64\) 7.18558 + 3.51674i 0.898197 + 0.439592i
\(65\) 4.59025i 0.569350i
\(66\) −0.564260 + 1.60711i −0.0694556 + 0.197821i
\(67\) 3.74011 1.13455i 0.456927 0.138607i −0.0534268 0.998572i \(-0.517014\pi\)
0.510354 + 0.859964i \(0.329514\pi\)
\(68\) −4.38734 + 2.41269i −0.532043 + 0.292582i
\(69\) 1.04147 0.102576i 0.125378 0.0123487i
\(70\) 0.101213 2.34511i 0.0120973 0.280294i
\(71\) 13.0171 + 8.69775i 1.54485 + 1.03223i 0.978049 + 0.208375i \(0.0668175\pi\)
0.566797 + 0.823858i \(0.308182\pi\)
\(72\) −2.64564 + 1.00029i −0.311792 + 0.117885i
\(73\) −2.96864 4.44289i −0.347453 0.520001i 0.616046 0.787710i \(-0.288733\pi\)
−0.963500 + 0.267709i \(0.913733\pi\)
\(74\) 1.69730 + 0.414427i 0.197307 + 0.0481761i
\(75\) −0.595006 1.11318i −0.0687054 0.128539i
\(76\) 0.179547 + 15.0749i 0.0205955 + 1.72921i
\(77\) 0.101349 1.02902i 0.0115498 0.117267i
\(78\) −2.68499 + 2.01621i −0.304015 + 0.228291i
\(79\) 2.08586 + 5.03571i 0.234678 + 0.566562i 0.996717 0.0809692i \(-0.0258015\pi\)
−0.762039 + 0.647531i \(0.775802\pi\)
\(80\) 7.34478 2.42049i 0.821171 0.270619i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) 3.30470 + 12.8675i 0.364943 + 1.42098i
\(83\) −5.32161 6.48441i −0.584123 0.711756i 0.394157 0.919043i \(-0.371037\pi\)
−0.978280 + 0.207287i \(0.933537\pi\)
\(84\) 1.41619 0.970860i 0.154519 0.105930i
\(85\) −1.40500 + 4.63167i −0.152394 + 0.502375i
\(86\) −10.0484 + 1.55174i −1.08354 + 0.167329i
\(87\) 0.785780 + 0.156301i 0.0842444 + 0.0167573i
\(88\) 3.28917 0.886628i 0.350627 0.0945148i
\(89\) −0.166186 0.835474i −0.0176157 0.0885601i 0.970977 0.239171i \(-0.0768758\pi\)
−0.988593 + 0.150611i \(0.951876\pi\)
\(90\) −1.15426 + 2.47856i −0.121670 + 0.261263i
\(91\) 1.29310 1.57565i 0.135554 0.165173i
\(92\) −1.34697 1.60200i −0.140432 0.167020i
\(93\) −2.65705 1.42022i −0.275524 0.147270i
\(94\) 9.35733 0.515569i 0.965134 0.0531769i
\(95\) 10.3050 + 10.3050i 1.05727 + 1.05727i
\(96\) 4.64193 + 3.23303i 0.473765 + 0.329969i
\(97\) −11.0074 + 11.0074i −1.11763 + 1.11763i −0.125547 + 0.992088i \(0.540069\pi\)
−0.992088 + 0.125547i \(0.959931\pi\)
\(98\) 5.90892 6.59803i 0.596891 0.666502i
\(99\) −0.567753 + 1.06219i −0.0570613 + 0.106754i
\(100\) −1.16341 + 2.24037i −0.116341 + 0.224037i
\(101\) −3.79676 3.11592i −0.377791 0.310045i 0.426265 0.904598i \(-0.359829\pi\)
−0.804057 + 0.594553i \(0.797329\pi\)
\(102\) −3.32634 + 1.21258i −0.329357 + 0.120063i
\(103\) −8.67332 + 1.72523i −0.854608 + 0.169992i −0.602905 0.797813i \(-0.705990\pi\)
−0.251702 + 0.967805i \(0.580990\pi\)
\(104\) 6.36228 + 2.14905i 0.623873 + 0.210732i
\(105\) 0.323808 1.62789i 0.0316005 0.158866i
\(106\) 1.81441 2.47714i 0.176231 0.240601i
\(107\) −10.3395 3.13647i −0.999562 0.303214i −0.252232 0.967667i \(-0.581165\pi\)
−0.747330 + 0.664453i \(0.768665\pi\)
\(108\) −1.95678 + 0.413514i −0.188292 + 0.0397904i
\(109\) 3.81639 3.13203i 0.365544 0.299994i −0.433634 0.901089i \(-0.642769\pi\)
0.799177 + 0.601095i \(0.205269\pi\)
\(110\) 1.67610 2.83455i 0.159810 0.270264i
\(111\) 1.14139 + 0.472779i 0.108336 + 0.0448742i
\(112\) −3.20304 1.23821i −0.302659 0.117000i
\(113\) 11.9507 4.95014i 1.12423 0.465670i 0.258412 0.966035i \(-0.416801\pi\)
0.865815 + 0.500365i \(0.166801\pi\)
\(114\) −1.50138 + 10.5541i −0.140617 + 0.988481i
\(115\) −2.01351 0.198313i −0.187761 0.0184928i
\(116\) −0.630779 1.47297i −0.0585664 0.136762i
\(117\) −2.09391 + 1.11922i −0.193582 + 0.103472i
\(118\) −3.67556 6.05030i −0.338363 0.556975i
\(119\) 1.78705 1.19407i 0.163819 0.109460i
\(120\) 5.39391 0.898864i 0.492395 0.0820547i
\(121\) −5.30537 + 7.94004i −0.482306 + 0.721822i
\(122\) −4.04410 4.40892i −0.366135 0.399165i
\(123\) 0.920772 + 9.34876i 0.0830232 + 0.842949i
\(124\) 0.661986 + 5.98913i 0.0594481 + 0.537839i
\(125\) 3.51447 + 11.5856i 0.314343 + 1.03625i
\(126\) 1.09444 0.525628i 0.0975003 0.0468267i
\(127\) −17.7242 −1.57277 −0.786386 0.617736i \(-0.788050\pi\)
−0.786386 + 0.617736i \(0.788050\pi\)
\(128\) 0.0837580 11.3134i 0.00740323 0.999973i
\(129\) −7.18948 −0.632999
\(130\) 5.85170 2.81041i 0.513228 0.246489i
\(131\) −1.34537 4.43510i −0.117546 0.387497i 0.878348 0.478021i \(-0.158646\pi\)
−0.995894 + 0.0905244i \(0.971146\pi\)
\(132\) 2.39423 0.264637i 0.208391 0.0230337i
\(133\) −0.634313 6.44029i −0.0550019 0.558444i
\(134\) −3.73624 4.07330i −0.322762 0.351879i
\(135\) −1.07410 + 1.60751i −0.0924441 + 0.138352i
\(136\) 5.76190 + 4.11584i 0.494079 + 0.352930i
\(137\) −17.8468 + 11.9249i −1.52476 + 1.01881i −0.540646 + 0.841250i \(0.681820\pi\)
−0.984110 + 0.177559i \(0.943180\pi\)
\(138\) −0.768412 1.26487i −0.0654116 0.107673i
\(139\) −6.58190 + 3.51810i −0.558269 + 0.298401i −0.726297 0.687381i \(-0.758760\pi\)
0.168028 + 0.985782i \(0.446260\pi\)
\(140\) −3.05154 + 1.30678i −0.257902 + 0.110443i
\(141\) 6.59475 + 0.649527i 0.555379 + 0.0547000i
\(142\) 3.11818 21.9196i 0.261672 1.83945i
\(143\) 2.64191 1.09431i 0.220927 0.0915110i
\(144\) 2.89499 + 2.76026i 0.241249 + 0.230022i
\(145\) −1.43103 0.592753i −0.118841 0.0492254i
\(146\) −3.84627 + 6.50464i −0.318320 + 0.538328i
\(147\) 4.84133 3.97318i 0.399306 0.327702i
\(148\) −0.510869 2.41747i −0.0419932 0.198715i
\(149\) −9.28237 2.81577i −0.760441 0.230677i −0.113833 0.993500i \(-0.536313\pi\)
−0.646608 + 0.762823i \(0.723813\pi\)
\(150\) −1.05479 + 1.44007i −0.0861236 + 0.117581i
\(151\) 3.71798 18.6915i 0.302565 1.52109i −0.467998 0.883730i \(-0.655024\pi\)
0.770562 0.637365i \(-0.219976\pi\)
\(152\) 19.1078 9.45861i 1.54984 0.767195i
\(153\) −2.45538 + 0.488406i −0.198506 + 0.0394853i
\(154\) −1.37385 + 0.500820i −0.110708 + 0.0403572i
\(155\) 4.50259 + 3.69518i 0.361657 + 0.296804i
\(156\) 4.21419 + 2.18841i 0.337405 + 0.175213i
\(157\) 5.44340 10.1839i 0.434430 0.812762i −0.565498 0.824750i \(-0.691316\pi\)
0.999928 + 0.0119877i \(0.00381589\pi\)
\(158\) 5.14250 5.74223i 0.409115 0.456827i
\(159\) 1.53528 1.53528i 0.121755 0.121755i
\(160\) −7.58255 7.88124i −0.599453 0.623067i
\(161\) 0.635292 + 0.635292i 0.0500681 + 0.0500681i
\(162\) −1.41207 + 0.0778022i −0.110943 + 0.00611272i
\(163\) −11.4695 6.13055i −0.898357 0.480182i −0.0435049 0.999053i \(-0.513852\pi\)
−0.854852 + 0.518871i \(0.826352\pi\)
\(164\) 14.3803 12.0911i 1.12292 0.944155i
\(165\) 1.47720 1.79997i 0.115000 0.140127i
\(166\) −5.00820 + 10.7542i −0.388711 + 0.834685i
\(167\) 1.88679 + 9.48552i 0.146004 + 0.734012i 0.982533 + 0.186089i \(0.0595812\pi\)
−0.836529 + 0.547923i \(0.815419\pi\)
\(168\) −2.10473 1.21096i −0.162384 0.0934273i
\(169\) −7.22139 1.43642i −0.555492 0.110494i
\(170\) 6.76472 1.04466i 0.518830 0.0801216i
\(171\) −2.18817 + 7.21342i −0.167333 + 0.551624i
\(172\) 8.13034 + 11.8597i 0.619933 + 0.904293i
\(173\) −3.32777 4.05490i −0.253006 0.308288i 0.630983 0.775797i \(-0.282652\pi\)
−0.883989 + 0.467508i \(0.845152\pi\)
\(174\) −0.281844 1.09742i −0.0213665 0.0831950i
\(175\) 0.414686 1.00114i 0.0313473 0.0756792i
\(176\) −3.14410 3.65022i −0.236995 0.275146i
\(177\) −1.91563 4.62475i −0.143988 0.347617i
\(178\) −0.963323 + 0.723380i −0.0722041 + 0.0542196i
\(179\) 1.24971 12.6886i 0.0934080 0.948387i −0.828244 0.560368i \(-0.810660\pi\)
0.921652 0.388019i \(-0.126840\pi\)
\(180\) 3.86639 0.0460499i 0.288184 0.00343236i
\(181\) 10.8003 + 20.2060i 0.802781 + 1.50190i 0.863842 + 0.503763i \(0.168052\pi\)
−0.0610610 + 0.998134i \(0.519448\pi\)
\(182\) −2.80037 0.683759i −0.207577 0.0506836i
\(183\) −2.35031 3.51749i −0.173740 0.260020i
\(184\) −1.21755 + 2.69797i −0.0897591 + 0.198897i
\(185\) −1.98597 1.32698i −0.146011 0.0975616i
\(186\) −0.183720 + 4.25678i −0.0134710 + 0.312122i
\(187\) 3.00070 0.295543i 0.219433 0.0216122i
\(188\) −6.38633 11.6132i −0.465771 0.846977i
\(189\) 0.821543 0.249212i 0.0597585 0.0181275i
\(190\) 6.82763 19.4462i 0.495328 1.41078i
\(191\) 14.4522i 1.04573i 0.852417 + 0.522863i \(0.175136\pi\)
−0.852417 + 0.522863i \(0.824864\pi\)
\(192\) 1.27944 7.89703i 0.0923360 0.569919i
\(193\) 8.31344i 0.598414i 0.954188 + 0.299207i \(0.0967222\pi\)
−0.954188 + 0.299207i \(0.903278\pi\)
\(194\) 20.7717 + 7.29302i 1.49132 + 0.523608i
\(195\) 4.39259 1.33248i 0.314560 0.0954208i
\(196\) −12.0290 3.49307i −0.859215 0.249505i
\(197\) −1.80037 + 0.177321i −0.128271 + 0.0126336i −0.161949 0.986799i \(-0.551778\pi\)
0.0336777 + 0.999433i \(0.489278\pi\)
\(198\) 1.70170 + 0.0734443i 0.120935 + 0.00521946i
\(199\) 1.95970 + 1.30943i 0.138919 + 0.0928228i 0.623088 0.782152i \(-0.285878\pi\)
−0.484169 + 0.874975i \(0.660878\pi\)
\(200\) 3.56835 + 0.111450i 0.252321 + 0.00788072i
\(201\) −2.17139 3.24972i −0.153158 0.229218i
\(202\) −1.64762 + 6.74789i −0.115926 + 0.474780i
\(203\) 0.324234 + 0.606600i 0.0227568 + 0.0425749i
\(204\) 3.58238 + 3.49805i 0.250817 + 0.244913i
\(205\) 1.78016 18.0743i 0.124332 1.26236i
\(206\) 7.50964 + 10.0006i 0.523221 + 0.696772i
\(207\) −0.400482 0.966849i −0.0278354 0.0672006i
\(208\) −1.15572 9.42648i −0.0801344 0.653609i
\(209\) 3.47431 8.38773i 0.240323 0.580191i
\(210\) −2.27351 + 0.583894i −0.156887 + 0.0402925i
\(211\) −17.3488 21.1395i −1.19434 1.45531i −0.858064 0.513543i \(-0.828333\pi\)
−0.336275 0.941764i \(-0.609167\pi\)
\(212\) −4.26877 0.796382i −0.293180 0.0546957i
\(213\) 4.54456 14.9814i 0.311388 1.02651i
\(214\) 2.33205 + 15.1013i 0.159416 + 1.03230i
\(215\) 13.6326 + 2.71169i 0.929735 + 0.184936i
\(216\) 1.72521 + 2.24135i 0.117385 + 0.152505i
\(217\) −0.504605 2.53682i −0.0342548 0.172211i
\(218\) −6.32935 2.94757i −0.428678 0.199634i
\(219\) −3.38983 + 4.13052i −0.229063 + 0.279114i
\(220\) −4.63972 0.401241i −0.312810 0.0270517i
\(221\) 5.24209 + 2.80196i 0.352621 + 0.188480i
\(222\) −0.0961193 1.74452i −0.00645111 0.117084i
\(223\) −11.5721 11.5721i −0.774928 0.774928i 0.204036 0.978963i \(-0.434594\pi\)
−0.978963 + 0.204036i \(0.934594\pi\)
\(224\) 0.382593 + 4.84137i 0.0255630 + 0.323478i
\(225\) −0.892524 + 0.892524i −0.0595016 + 0.0595016i
\(226\) −13.6274 12.2041i −0.906480 0.811806i
\(227\) 1.52619 2.85531i 0.101297 0.189513i −0.826167 0.563425i \(-0.809484\pi\)
0.927465 + 0.373911i \(0.121984\pi\)
\(228\) 14.3737 4.54784i 0.951921 0.301188i
\(229\) 8.98251 + 7.37175i 0.593581 + 0.487139i 0.882562 0.470196i \(-0.155817\pi\)
−0.288982 + 0.957335i \(0.593317\pi\)
\(230\) 0.979973 + 2.68826i 0.0646175 + 0.177259i
\(231\) −1.01413 + 0.201722i −0.0667246 + 0.0132724i
\(232\) −1.49156 + 1.70596i −0.0979256 + 0.112002i
\(233\) 4.81874 24.2254i 0.315686 1.58706i −0.418568 0.908186i \(-0.637468\pi\)
0.734254 0.678875i \(-0.237532\pi\)
\(234\) 2.70881 + 1.98409i 0.177080 + 0.129704i
\(235\) −12.2599 3.71900i −0.799747 0.242601i
\(236\) −5.46260 + 8.38998i −0.355585 + 0.546141i
\(237\) 4.21338 3.45784i 0.273689 0.224611i
\(238\) −2.61635 1.54708i −0.169593 0.100282i
\(239\) −22.0976 9.15310i −1.42937 0.592065i −0.472175 0.881505i \(-0.656531\pi\)
−0.957196 + 0.289439i \(0.906531\pi\)
\(240\) −4.44834 6.32588i −0.287139 0.408334i
\(241\) 10.8791 4.50628i 0.700786 0.290275i −0.00369982 0.999993i \(-0.501178\pi\)
0.704486 + 0.709718i \(0.251178\pi\)
\(242\) 13.3703 + 1.90200i 0.859475 + 0.122265i
\(243\) −0.995185 0.0980171i −0.0638411 0.00628780i
\(244\) −3.14452 + 7.85485i −0.201307 + 0.502855i
\(245\) −10.6787 + 5.70786i −0.682234 + 0.364662i
\(246\) 11.3541 6.89765i 0.723914 0.439778i
\(247\) 14.8810 9.94316i 0.946855 0.632668i
\(248\) 7.22970 4.51079i 0.459086 0.286435i
\(249\) −4.66041 + 6.97479i −0.295341 + 0.442009i
\(250\) 12.6177 11.5737i 0.798016 0.731983i
\(251\) 0.669459 + 6.79713i 0.0422559 + 0.429031i 0.992918 + 0.118803i \(0.0379056\pi\)
−0.950662 + 0.310229i \(0.899594\pi\)
\(252\) −1.34015 1.07338i −0.0844217 0.0676167i
\(253\) 0.365881 + 1.20615i 0.0230028 + 0.0758299i
\(254\) 10.8518 + 22.5950i 0.680901 + 1.41774i
\(255\) 4.84008 0.303098
\(256\) −14.4737 + 6.81992i −0.904608 + 0.426245i
\(257\) −9.48295 −0.591530 −0.295765 0.955261i \(-0.595575\pi\)
−0.295765 + 0.955261i \(0.595575\pi\)
\(258\) 4.40181 + 9.16523i 0.274045 + 0.570602i
\(259\) 0.307885 + 1.01496i 0.0191310 + 0.0630666i
\(260\) −7.16548 5.73911i −0.444384 0.355925i
\(261\) −0.0785288 0.797316i −0.00486081 0.0493526i
\(262\) −4.83020 + 4.43052i −0.298411 + 0.273718i
\(263\) −2.10764 + 3.15430i −0.129963 + 0.194503i −0.890744 0.454506i \(-0.849816\pi\)
0.760781 + 0.649008i \(0.224816\pi\)
\(264\) −1.80325 2.89016i −0.110982 0.177877i
\(265\) −3.49024 + 2.33210i −0.214404 + 0.143260i
\(266\) −7.82179 + 4.75174i −0.479585 + 0.291348i
\(267\) −0.751257 + 0.401555i −0.0459762 + 0.0245748i
\(268\) −2.90514 + 7.25690i −0.177460 + 0.443286i
\(269\) 21.9416 + 2.16106i 1.33780 + 0.131762i 0.741476 0.670980i \(-0.234126\pi\)
0.596327 + 0.802742i \(0.296626\pi\)
\(270\) 2.70690 + 0.385070i 0.164736 + 0.0234346i
\(271\) −25.5722 + 10.5924i −1.55340 + 0.643440i −0.983928 0.178568i \(-0.942854\pi\)
−0.569475 + 0.822009i \(0.692854\pi\)
\(272\) 1.71915 9.86528i 0.104239 0.598171i
\(273\) −1.88317 0.780035i −0.113975 0.0472099i
\(274\) 26.1288 + 15.4502i 1.57850 + 0.933383i
\(275\) 1.17515 0.964419i 0.0708641 0.0581567i
\(276\) −1.14201 + 1.75401i −0.0687410 + 0.105579i
\(277\) 26.7157 + 8.10412i 1.60519 + 0.486930i 0.960678 0.277664i \(-0.0895601\pi\)
0.644513 + 0.764593i \(0.277060\pi\)
\(278\) 8.51471 + 6.23669i 0.510679 + 0.374052i
\(279\) −0.587768 + 2.95491i −0.0351888 + 0.176906i
\(280\) 3.53422 + 3.09005i 0.211210 + 0.184666i
\(281\) 9.01383 1.79296i 0.537720 0.106959i 0.0812429 0.996694i \(-0.474111\pi\)
0.456477 + 0.889735i \(0.349111\pi\)
\(282\) −3.20966 8.80474i −0.191132 0.524315i
\(283\) 6.03263 + 4.95085i 0.358603 + 0.294298i 0.796393 0.604779i \(-0.206739\pi\)
−0.437790 + 0.899077i \(0.644239\pi\)
\(284\) −29.8525 + 9.44532i −1.77142 + 0.560477i
\(285\) 6.86989 12.8527i 0.406937 0.761326i
\(286\) −3.01257 2.69793i −0.178137 0.159532i
\(287\) −5.70270 + 5.70270i −0.336620 + 0.336620i
\(288\) 1.74633 5.38055i 0.102904 0.317052i
\(289\) −7.58906 7.58906i −0.446415 0.446415i
\(290\) 0.120511 + 2.18721i 0.00707663 + 0.128437i
\(291\) 13.7287 + 7.33816i 0.804793 + 0.430171i
\(292\) 10.6471 + 0.920757i 0.623074 + 0.0538832i
\(293\) −2.57738 + 3.14055i −0.150572 + 0.183473i −0.842834 0.538174i \(-0.819114\pi\)
0.692262 + 0.721647i \(0.256614\pi\)
\(294\) −8.02919 3.73918i −0.468272 0.218073i
\(295\) 1.88806 + 9.49191i 0.109927 + 0.552640i
\(296\) −2.76904 + 2.13138i −0.160947 + 0.123884i
\(297\) 1.18126 + 0.234968i 0.0685438 + 0.0136342i
\(298\) 2.09361 + 13.5572i 0.121279 + 0.785350i
\(299\) −0.721268 + 2.37770i −0.0417120 + 0.137506i
\(300\) 2.48162 + 0.462971i 0.143276 + 0.0267297i
\(301\) −3.91563 4.77121i −0.225693 0.275008i
\(302\) −26.1045 + 6.70429i −1.50215 + 0.385789i
\(303\) −1.87961 + 4.53777i −0.107981 + 0.260688i
\(304\) −23.7568 18.5677i −1.36255 1.06493i
\(305\) 3.12992 + 7.55629i 0.179218 + 0.432672i
\(306\) 2.12595 + 2.83112i 0.121532 + 0.161844i
\(307\) −1.16290 + 11.8071i −0.0663704 + 0.673870i 0.903227 + 0.429163i \(0.141192\pi\)
−0.969597 + 0.244706i \(0.921308\pi\)
\(308\) 1.47960 + 1.44477i 0.0843080 + 0.0823234i
\(309\) 4.16868 + 7.79904i 0.237148 + 0.443672i
\(310\) 1.95392 8.00235i 0.110975 0.454503i
\(311\) 3.08544 + 4.61769i 0.174959 + 0.261845i 0.908577 0.417717i \(-0.137170\pi\)
−0.733618 + 0.679562i \(0.762170\pi\)
\(312\) 0.209640 6.71216i 0.0118686 0.380001i
\(313\) 9.28404 + 6.20339i 0.524765 + 0.350637i 0.789565 0.613667i \(-0.210306\pi\)
−0.264801 + 0.964303i \(0.585306\pi\)
\(314\) −16.3153 0.704156i −0.920724 0.0397378i
\(315\) −1.65179 + 0.162688i −0.0930681 + 0.00916641i
\(316\) −10.4688 3.04000i −0.588915 0.171013i
\(317\) −29.8999 + 9.07003i −1.67934 + 0.509424i −0.978910 0.204293i \(-0.934511\pi\)
−0.700435 + 0.713716i \(0.747011\pi\)
\(318\) −2.89717 1.01720i −0.162465 0.0570420i
\(319\) 0.964938i 0.0540262i
\(320\) −5.40462 + 14.4917i −0.302128 + 0.810108i
\(321\) 10.8048i 0.603065i
\(322\) 0.420916 1.19884i 0.0234567 0.0668087i
\(323\) 18.0587 5.47805i 1.00481 0.304807i
\(324\) 0.963733 + 1.75249i 0.0535407 + 0.0973605i
\(325\) 2.98241 0.293742i 0.165434 0.0162939i
\(326\) −0.793046 + 18.3749i −0.0439227 + 1.01769i
\(327\) −4.10500 2.74287i −0.227007 0.151681i
\(328\) −24.2183 10.9293i −1.33723 0.603472i
\(329\) 3.16067 + 4.73028i 0.174253 + 0.260789i
\(330\) −3.19904 0.781103i −0.176101 0.0429983i
\(331\) 10.0571 + 18.8155i 0.552788 + 1.03419i 0.990814 + 0.135232i \(0.0431779\pi\)
−0.438026 + 0.898962i \(0.644322\pi\)
\(332\) 16.7758 0.199805i 0.920693 0.0109657i
\(333\) 0.121094 1.22948i 0.00663588 0.0673753i
\(334\) 10.9370 8.21287i 0.598449 0.449388i
\(335\) 2.89165 + 6.98107i 0.157988 + 0.381416i
\(336\) −0.255104 + 3.42455i −0.0139171 + 0.186825i
\(337\) −11.1873 + 27.0084i −0.609409 + 1.47124i 0.254236 + 0.967142i \(0.418176\pi\)
−0.863645 + 0.504101i \(0.831824\pi\)
\(338\) 2.59017 + 10.0854i 0.140887 + 0.548572i
\(339\) −8.20609 9.99915i −0.445694 0.543079i
\(340\) −5.47348 7.98414i −0.296841 0.433001i
\(341\) 1.05334 3.47239i 0.0570414 0.188040i
\(342\) 10.5355 1.62696i 0.569693 0.0879761i
\(343\) 11.1676 + 2.22137i 0.602994 + 0.119943i
\(344\) 10.1410 17.6258i 0.546766 0.950320i
\(345\) 0.394717 + 1.98438i 0.0212509 + 0.106835i
\(346\) −3.13178 + 6.72491i −0.168366 + 0.361534i
\(347\) −0.885524 + 1.07901i −0.0475374 + 0.0579245i −0.796236 0.604986i \(-0.793179\pi\)
0.748699 + 0.662910i \(0.230679\pi\)
\(348\) −1.22644 + 1.03120i −0.0657440 + 0.0552780i
\(349\) 15.4992 + 8.28449i 0.829653 + 0.443459i 0.830820 0.556541i \(-0.187872\pi\)
−0.00116777 + 0.999999i \(0.500372\pi\)
\(350\) −1.53016 + 0.0843086i −0.0817905 + 0.00450649i
\(351\) 1.67886 + 1.67886i 0.0896109 + 0.0896109i
\(352\) −2.72835 + 6.24300i −0.145422 + 0.332753i
\(353\) 22.1434 22.1434i 1.17858 1.17858i 0.198468 0.980107i \(-0.436404\pi\)
0.980107 0.198468i \(-0.0635965\pi\)
\(354\) −4.72282 + 5.27360i −0.251015 + 0.280289i
\(355\) −14.2679 + 26.6934i −0.757264 + 1.41674i
\(356\) 1.51197 + 0.785160i 0.0801344 + 0.0416134i
\(357\) −1.66141 1.36348i −0.0879310 0.0721631i
\(358\) −16.9406 + 6.17550i −0.895341 + 0.326385i
\(359\) −8.13745 + 1.61864i −0.429478 + 0.0854285i −0.405096 0.914274i \(-0.632762\pi\)
−0.0243822 + 0.999703i \(0.507762\pi\)
\(360\) −2.42593 4.90073i −0.127858 0.258291i
\(361\) 7.37861 37.0948i 0.388348 1.95236i
\(362\) 19.1462 26.1396i 1.00630 1.37387i
\(363\) 9.13821 + 2.77205i 0.479632 + 0.145495i
\(364\) 0.842879 + 3.98857i 0.0441788 + 0.209058i
\(365\) 7.98567 6.55367i 0.417989 0.343035i
\(366\) −3.04514 + 5.14980i −0.159172 + 0.269185i
\(367\) −21.2161 8.78798i −1.10747 0.458729i −0.247404 0.968912i \(-0.579578\pi\)
−0.860066 + 0.510183i \(0.829578\pi\)
\(368\) 4.18485 0.0996998i 0.218150 0.00519721i
\(369\) 8.67892 3.59492i 0.451806 0.187144i
\(370\) −0.475728 + 3.34419i −0.0247319 + 0.173856i
\(371\) 1.85503 + 0.182705i 0.0963084 + 0.00948555i
\(372\) 5.53907 2.37203i 0.287188 0.122984i
\(373\) −5.64765 + 3.01873i −0.292424 + 0.156304i −0.611085 0.791565i \(-0.709267\pi\)
0.318661 + 0.947869i \(0.396767\pi\)
\(374\) −2.21396 3.64437i −0.114481 0.188446i
\(375\) 10.0666 6.72627i 0.519835 0.347343i
\(376\) −10.8945 + 15.2516i −0.561841 + 0.786541i
\(377\) −1.05681 + 1.58162i −0.0544283 + 0.0814576i
\(378\) −0.820693 0.894730i −0.0422119 0.0460199i
\(379\) −0.646335 6.56234i −0.0332000 0.337085i −0.997409 0.0719413i \(-0.977081\pi\)
0.964209 0.265144i \(-0.0854194\pi\)
\(380\) −28.9705 + 3.20215i −1.48616 + 0.164267i
\(381\) 5.14507 + 16.9610i 0.263590 + 0.868940i
\(382\) 18.4238 8.84846i 0.942645 0.452726i
\(383\) −20.4199 −1.04341 −0.521704 0.853127i \(-0.674703\pi\)
−0.521704 + 0.853127i \(0.674703\pi\)
\(384\) −10.8506 + 3.20395i −0.553715 + 0.163501i
\(385\) 1.99906 0.101881
\(386\) 10.5981 5.08995i 0.539427 0.259072i
\(387\) 2.08700 + 6.87991i 0.106088 + 0.349725i
\(388\) −3.42042 30.9452i −0.173645 1.57101i
\(389\) −0.101027 1.02575i −0.00512228 0.0520074i 0.992284 0.123987i \(-0.0395682\pi\)
−0.997406 + 0.0719800i \(0.977068\pi\)
\(390\) −4.38805 4.78391i −0.222198 0.242242i
\(391\) −1.45555 + 2.17839i −0.0736104 + 0.110166i
\(392\) 2.91183 + 17.4734i 0.147070 + 0.882538i
\(393\) −3.85359 + 2.57488i −0.194388 + 0.129886i
\(394\) 1.32834 + 2.18657i 0.0669209 + 0.110158i
\(395\) −9.29357 + 4.96752i −0.467610 + 0.249943i
\(396\) −0.948251 2.21431i −0.0476514 0.111274i
\(397\) −3.28254 0.323302i −0.164746 0.0162260i 0.0153079 0.999883i \(-0.495127\pi\)
−0.180054 + 0.983657i \(0.557627\pi\)
\(398\) 0.469435 3.29995i 0.0235307 0.165411i
\(399\) −5.97884 + 2.47652i −0.299316 + 0.123981i
\(400\) −2.04267 4.61721i −0.102133 0.230861i
\(401\) 32.1087 + 13.2999i 1.60343 + 0.664163i 0.991896 0.127054i \(-0.0405523\pi\)
0.611535 + 0.791217i \(0.290552\pi\)
\(402\) −2.81333 + 4.75778i −0.140316 + 0.237296i
\(403\) 5.52949 4.53793i 0.275443 0.226051i
\(404\) 9.61104 2.03104i 0.478167 0.101048i
\(405\) 1.85009 + 0.561217i 0.0919315 + 0.0278871i
\(406\) 0.574785 0.784732i 0.0285261 0.0389456i
\(407\) −0.290287 + 1.45937i −0.0143890 + 0.0723383i
\(408\) 2.26602 6.70856i 0.112185 0.332123i
\(409\) 18.1535 3.61096i 0.897633 0.178550i 0.275351 0.961344i \(-0.411206\pi\)
0.622282 + 0.782793i \(0.286206\pi\)
\(410\) −24.1312 + 8.79672i −1.19175 + 0.434439i
\(411\) 16.5920 + 13.6167i 0.818425 + 0.671664i
\(412\) 8.15099 15.6963i 0.401571 0.773300i
\(413\) 2.02584 3.79008i 0.0996849 0.186497i
\(414\) −0.987352 + 1.10250i −0.0485257 + 0.0541848i
\(415\) 11.4677 11.4677i 0.562928 0.562928i
\(416\) −11.3094 + 7.24474i −0.554488 + 0.355203i
\(417\) 5.27723 + 5.27723i 0.258427 + 0.258427i
\(418\) −12.8199 + 0.706352i −0.627043 + 0.0345488i
\(419\) −32.9031 17.5871i −1.60742 0.859185i −0.997786 0.0665039i \(-0.978816\pi\)
−0.609636 0.792681i \(-0.708684\pi\)
\(420\) 2.13633 + 2.54080i 0.104242 + 0.123978i
\(421\) −16.9760 + 20.6853i −0.827358 + 1.00814i 0.172375 + 0.985031i \(0.444856\pi\)
−0.999733 + 0.0231068i \(0.992644\pi\)
\(422\) −16.3270 + 35.0592i −0.794787 + 1.70666i
\(423\) −1.29280 6.49933i −0.0628580 0.316008i
\(424\) 1.59835 + 5.92946i 0.0776225 + 0.287960i
\(425\) 3.09923 + 0.616476i 0.150335 + 0.0299035i
\(426\) −21.8809 + 3.37901i −1.06013 + 0.163714i
\(427\) 1.05428 3.47549i 0.0510201 0.168191i
\(428\) 17.8235 12.2188i 0.861530 0.590617i
\(429\) −1.81410 2.21048i −0.0875854 0.106723i
\(430\) −4.88975 19.0392i −0.235805 0.918153i
\(431\) 7.97273 19.2479i 0.384033 0.927138i −0.607144 0.794592i \(-0.707685\pi\)
0.991177 0.132546i \(-0.0423151\pi\)
\(432\) 1.80103 3.57159i 0.0866522 0.171838i
\(433\) −6.06950 14.6531i −0.291682 0.704182i 0.708317 0.705895i \(-0.249455\pi\)
−0.999999 + 0.00171277i \(0.999455\pi\)
\(434\) −2.92502 + 2.19646i −0.140405 + 0.105433i
\(435\) −0.151822 + 1.54148i −0.00727933 + 0.0739083i
\(436\) 0.117595 + 9.87339i 0.00563178 + 0.472850i
\(437\) 3.71866 + 6.95712i 0.177888 + 0.332804i
\(438\) 7.34107 + 1.79245i 0.350770 + 0.0856467i
\(439\) 16.8952 + 25.2855i 0.806364 + 1.20681i 0.975235 + 0.221171i \(0.0709879\pi\)
−0.168871 + 0.985638i \(0.554012\pi\)
\(440\) 2.32919 + 6.16043i 0.111040 + 0.293687i
\(441\) −5.20746 3.47951i −0.247974 0.165691i
\(442\) 0.362460 8.39819i 0.0172405 0.399461i
\(443\) 13.6317 1.34260i 0.647661 0.0637891i 0.231148 0.972919i \(-0.425752\pi\)
0.416513 + 0.909130i \(0.363252\pi\)
\(444\) −2.16508 + 1.19063i −0.102750 + 0.0565046i
\(445\) 1.57598 0.478068i 0.0747086 0.0226626i
\(446\) −7.66717 + 21.8374i −0.363051 + 1.03403i
\(447\) 9.70005i 0.458796i
\(448\) 5.93759 3.45189i 0.280525 0.163087i
\(449\) 8.05576i 0.380175i −0.981767 0.190087i \(-0.939123\pi\)
0.981767 0.190087i \(-0.0608771\pi\)
\(450\) 1.68425 + 0.591345i 0.0793964 + 0.0278763i
\(451\) −10.8270 + 3.28433i −0.509823 + 0.154653i
\(452\) −7.21449 + 24.8444i −0.339341 + 1.16858i
\(453\) −18.9659 + 1.86798i −0.891098 + 0.0877655i
\(454\) −4.57440 0.197428i −0.214687 0.00926574i
\(455\) 3.27663 + 2.18938i 0.153611 + 0.102640i
\(456\) −14.5980 15.5393i −0.683615 0.727694i
\(457\) 3.65779 + 5.47427i 0.171104 + 0.256076i 0.907104 0.420906i \(-0.138288\pi\)
−0.736000 + 0.676981i \(0.763288\pi\)
\(458\) 3.89799 15.9644i 0.182141 0.745967i
\(459\) 1.18014 + 2.20788i 0.0550840 + 0.103055i
\(460\) 2.82703 2.89519i 0.131811 0.134989i
\(461\) 3.69830 37.5494i 0.172247 1.74885i −0.389032 0.921224i \(-0.627190\pi\)
0.561279 0.827627i \(-0.310310\pi\)
\(462\) 0.878063 + 1.16931i 0.0408512 + 0.0544014i
\(463\) −8.15250 19.6819i −0.378879 0.914695i −0.992177 0.124843i \(-0.960157\pi\)
0.613297 0.789852i \(-0.289843\pi\)
\(464\) 3.08799 + 0.856970i 0.143356 + 0.0397838i
\(465\) 2.22904 5.38137i 0.103369 0.249555i
\(466\) −33.8331 + 8.68920i −1.56729 + 0.402519i
\(467\) −12.7731 15.5641i −0.591070 0.720221i 0.388472 0.921460i \(-0.373003\pi\)
−0.979542 + 0.201240i \(0.935503\pi\)
\(468\) 0.870861 4.66799i 0.0402556 0.215778i
\(469\) 0.974023 3.21092i 0.0449762 0.148267i
\(470\) 2.76518 + 17.9060i 0.127548 + 0.825943i
\(471\) −11.3255 2.25278i −0.521852 0.103803i
\(472\) 14.0401 + 1.82697i 0.646250 + 0.0840930i
\(473\) −1.68930 8.49267i −0.0776740 0.390493i
\(474\) −6.98776 3.25419i −0.320958 0.149470i
\(475\) 6.03600 7.35489i 0.276951 0.337466i
\(476\) −0.370354 + 4.28256i −0.0169751 + 0.196291i
\(477\) −1.91484 1.02350i −0.0876744 0.0468629i
\(478\) 1.86089 + 33.7742i 0.0851151 + 1.54480i
\(479\) 30.3688 + 30.3688i 1.38758 + 1.38758i 0.830366 + 0.557219i \(0.188131\pi\)
0.557219 + 0.830366i \(0.311869\pi\)
\(480\) −5.34078 + 9.54385i −0.243772 + 0.435615i
\(481\) −2.07412 + 2.07412i −0.0945716 + 0.0945716i
\(482\) −12.4055 11.1098i −0.565054 0.506039i
\(483\) 0.423521 0.792353i 0.0192709 0.0360533i
\(484\) −5.76136 18.2091i −0.261880 0.827687i
\(485\) −23.2645 19.0926i −1.05638 0.866953i
\(486\) 0.484355 + 1.32868i 0.0219708 + 0.0602703i
\(487\) −3.66012 + 0.728043i −0.165856 + 0.0329908i −0.277320 0.960778i \(-0.589446\pi\)
0.111464 + 0.993768i \(0.464446\pi\)
\(488\) 11.9387 0.800516i 0.540440 0.0362377i
\(489\) −2.53717 + 12.7552i −0.114735 + 0.576810i
\(490\) 13.8145 + 10.1186i 0.624076 + 0.457111i
\(491\) −20.4660 6.20828i −0.923616 0.280176i −0.207563 0.978222i \(-0.566553\pi\)
−0.716053 + 0.698046i \(0.754053\pi\)
\(492\) −15.7448 10.2513i −0.709832 0.462162i
\(493\) −1.55045 + 1.27242i −0.0698288 + 0.0573070i
\(494\) −21.7866 12.8827i −0.980227 0.579619i
\(495\) −2.15127 0.891085i −0.0966924 0.0400513i
\(496\) −10.1768 6.45474i −0.456953 0.289826i
\(497\) 12.4173 5.14343i 0.556994 0.230714i
\(498\) 11.7449 + 1.67078i 0.526302 + 0.0748692i
\(499\) −1.02227 0.100685i −0.0457632 0.00450729i 0.0751096 0.997175i \(-0.476069\pi\)
−0.120873 + 0.992668i \(0.538569\pi\)
\(500\) −22.4795 8.99919i −1.00531 0.402456i
\(501\) 8.52937 4.55904i 0.381064 0.203683i
\(502\) 8.25518 5.01502i 0.368447 0.223831i
\(503\) 12.9873 8.67786i 0.579077 0.386927i −0.231259 0.972892i \(-0.574285\pi\)
0.810336 + 0.585966i \(0.199285\pi\)
\(504\) −0.547841 + 2.36563i −0.0244028 + 0.105373i
\(505\) 5.27562 7.89552i 0.234762 0.351346i
\(506\) 1.31360 1.20490i 0.0583966 0.0535644i
\(507\) 0.721687 + 7.32741i 0.0320512 + 0.325422i
\(508\) 22.1603 27.6679i 0.983206 1.22757i
\(509\) 3.89781 + 12.8493i 0.172767 + 0.569537i 0.999971 + 0.00763496i \(0.00243031\pi\)
−0.827204 + 0.561902i \(0.810070\pi\)
\(510\) −2.96337 6.17018i −0.131220 0.273220i
\(511\) −4.58738 −0.202934
\(512\) 17.5557 + 14.2757i 0.775861 + 0.630903i
\(513\) 7.53800 0.332811
\(514\) 5.80600 + 12.0890i 0.256092 + 0.533221i
\(515\) −4.96298 16.3608i −0.218695 0.720941i
\(516\) 8.98890 11.2229i 0.395714 0.494062i
\(517\) 0.782293 + 7.94276i 0.0344052 + 0.349322i
\(518\) 1.10538 1.01391i 0.0485675 0.0445487i
\(519\) −2.91430 + 4.36155i −0.127923 + 0.191451i
\(520\) −2.92918 + 12.6484i −0.128453 + 0.554671i
\(521\) 16.3814 10.9457i 0.717682 0.479540i −0.142326 0.989820i \(-0.545458\pi\)
0.860008 + 0.510280i \(0.170458\pi\)
\(522\) −0.968348 + 0.588271i −0.0423834 + 0.0257479i
\(523\) −15.4884 + 8.27873i −0.677261 + 0.362003i −0.773893 0.633317i \(-0.781693\pi\)
0.0966319 + 0.995320i \(0.469193\pi\)
\(524\) 8.60539 + 3.44498i 0.375928 + 0.150495i
\(525\) −1.07841 0.106214i −0.0470657 0.00463556i
\(526\) 5.31156 + 0.755597i 0.231595 + 0.0329456i
\(527\) 6.96837 2.88639i 0.303547 0.125733i
\(528\) −2.58036 + 4.06832i −0.112296 + 0.177051i
\(529\) 20.2374 + 8.38261i 0.879887 + 0.364461i
\(530\) 5.10991 + 3.02155i 0.221960 + 0.131248i
\(531\) −3.86953 + 3.17564i −0.167923 + 0.137811i
\(532\) 10.8465 + 7.06202i 0.470256 + 0.306177i
\(533\) −21.3434 6.47446i −0.924487 0.280440i
\(534\) 0.971869 + 0.711856i 0.0420569 + 0.0308050i
\(535\) 4.07530 20.4879i 0.176190 0.885769i
\(536\) 11.0299 0.739577i 0.476418 0.0319449i
\(537\) −12.5050 + 2.48739i −0.539629 + 0.107339i
\(538\) −10.6789 29.2945i −0.460402 1.26298i
\(539\) 5.83093 + 4.78532i 0.251156 + 0.206118i
\(540\) −1.16642 3.68654i −0.0501948 0.158643i
\(541\) 2.88580 5.39896i 0.124070 0.232119i −0.812216 0.583357i \(-0.801739\pi\)
0.936286 + 0.351237i \(0.114239\pi\)
\(542\) 29.1600 + 26.1145i 1.25253 + 1.12171i
\(543\) 16.2007 16.2007i 0.695240 0.695240i
\(544\) −13.6289 + 3.84849i −0.584335 + 0.165003i
\(545\) 6.74930 + 6.74930i 0.289108 + 0.289108i
\(546\) 0.158587 + 2.87827i 0.00678688 + 0.123179i
\(547\) 35.0379 + 18.7282i 1.49811 + 0.800759i 0.997877 0.0651292i \(-0.0207460\pi\)
0.500238 + 0.865888i \(0.333246\pi\)
\(548\) 3.69862 42.7687i 0.157997 1.82699i
\(549\) −2.68377 + 3.27018i −0.114540 + 0.139568i
\(550\) −1.94894 0.907620i −0.0831033 0.0387010i
\(551\) 1.17820 + 5.92321i 0.0501930 + 0.252337i
\(552\) 2.93523 + 0.381946i 0.124932 + 0.0162567i
\(553\) 4.58950 + 0.912908i 0.195165 + 0.0388208i
\(554\) −6.02564 39.0193i −0.256005 1.65777i
\(555\) −0.693346 + 2.28566i −0.0294309 + 0.0970207i
\(556\) 2.73742 14.6731i 0.116092 0.622278i
\(557\) −11.6209 14.1601i −0.492394 0.599984i 0.466228 0.884665i \(-0.345613\pi\)
−0.958623 + 0.284680i \(0.908113\pi\)
\(558\) 4.12682 1.05987i 0.174702 0.0448679i
\(559\) 6.53231 15.7704i 0.276287 0.667016i
\(560\) 1.77538 6.39737i 0.0750235 0.270338i
\(561\) −1.15387 2.78570i −0.0487165 0.117612i
\(562\) −7.80446 10.3932i −0.329211 0.438410i
\(563\) −0.656972 + 6.67034i −0.0276880 + 0.281121i 0.971364 + 0.237595i \(0.0763592\pi\)
−0.999052 + 0.0435262i \(0.986141\pi\)
\(564\) −9.25924 + 9.48246i −0.389884 + 0.399284i
\(565\) 11.7888 + 22.0554i 0.495961 + 0.927877i
\(566\) 2.61788 10.7217i 0.110038 0.450665i
\(567\) −0.476963 0.713825i −0.0200305 0.0299778i
\(568\) 30.3183 + 32.2733i 1.27213 + 1.35416i
\(569\) 2.10121 + 1.40398i 0.0880873 + 0.0588581i 0.598834 0.800873i \(-0.295631\pi\)
−0.510747 + 0.859731i \(0.670631\pi\)
\(570\) −20.5908 0.888686i −0.862456 0.0372230i
\(571\) 27.0247 2.66170i 1.13095 0.111389i 0.484819 0.874615i \(-0.338886\pi\)
0.646132 + 0.763226i \(0.276386\pi\)
\(572\) −1.59489 + 5.49227i −0.0666855 + 0.229644i
\(573\) 13.8299 4.19526i 0.577753 0.175259i
\(574\) 10.7614 + 3.77835i 0.449171 + 0.157705i
\(575\) 1.32092i 0.0550864i
\(576\) −7.92839 + 1.06803i −0.330349 + 0.0445014i
\(577\) 21.1957i 0.882391i 0.897411 + 0.441195i \(0.145445\pi\)
−0.897411 + 0.441195i \(0.854555\pi\)
\(578\) −5.02816 + 14.3211i −0.209144 + 0.595678i
\(579\) 7.95546 2.41326i 0.330618 0.100292i
\(580\) 2.71450 1.49276i 0.112713 0.0619836i
\(581\) −7.16694 + 0.705882i −0.297335 + 0.0292849i
\(582\) 0.949261 21.9944i 0.0393482 0.911696i
\(583\) 2.17431 + 1.45283i 0.0900506 + 0.0601699i
\(584\) −5.34496 14.1368i −0.221176 0.584984i
\(585\) −2.55021 3.81665i −0.105438 0.157799i
\(586\) 5.58162 + 1.36285i 0.230575 + 0.0562989i
\(587\) 7.18553 + 13.4432i 0.296579 + 0.554859i 0.985438 0.170036i \(-0.0543883\pi\)
−0.688859 + 0.724895i \(0.741888\pi\)
\(588\) 0.149177 + 12.5250i 0.00615195 + 0.516524i
\(589\) 2.22602 22.6011i 0.0917215 0.931264i
\(590\) 10.9444 8.21840i 0.450574 0.338346i
\(591\) 0.692307 + 1.67138i 0.0284777 + 0.0687513i
\(592\) 4.41246 + 2.22505i 0.181351 + 0.0914491i
\(593\) 5.63142 13.5955i 0.231255 0.558298i −0.765071 0.643946i \(-0.777296\pi\)
0.996325 + 0.0856480i \(0.0272960\pi\)
\(594\) −0.423696 1.64975i −0.0173845 0.0676900i
\(595\) 2.63607 + 3.21206i 0.108068 + 0.131681i
\(596\) 16.0011 10.9695i 0.655430 0.449326i
\(597\) 0.684174 2.25542i 0.0280014 0.0923081i
\(598\) 3.47272 0.536283i 0.142010 0.0219302i
\(599\) −40.0418 7.96482i −1.63607 0.325434i −0.710406 0.703792i \(-0.751489\pi\)
−0.925659 + 0.378358i \(0.876489\pi\)
\(600\) −0.929187 3.44705i −0.0379339 0.140725i
\(601\) 7.20469 + 36.2204i 0.293886 + 1.47746i 0.792091 + 0.610403i \(0.208993\pi\)
−0.498205 + 0.867059i \(0.666007\pi\)
\(602\) −3.68502 + 7.91289i −0.150190 + 0.322505i
\(603\) −2.47947 + 3.02124i −0.100972 + 0.123034i
\(604\) 24.5294 + 29.1736i 0.998085 + 1.18706i
\(605\) −16.2822 8.70302i −0.661966 0.353828i
\(606\) 6.93560 0.382137i 0.281740 0.0155233i
\(607\) 0.716922 + 0.716922i 0.0290990 + 0.0290990i 0.721507 0.692408i \(-0.243450\pi\)
−0.692408 + 0.721507i \(0.743450\pi\)
\(608\) −9.12503 + 41.6536i −0.370069 + 1.68928i
\(609\) 0.486359 0.486359i 0.0197083 0.0197083i
\(610\) 7.71652 8.61644i 0.312433 0.348869i
\(611\) −7.41670 + 13.8757i −0.300048 + 0.561350i
\(612\) 2.30752 4.44356i 0.0932758 0.179620i
\(613\) −33.4334 27.4381i −1.35036 1.10821i −0.984083 0.177709i \(-0.943131\pi\)
−0.366280 0.930505i \(-0.619369\pi\)
\(614\) 15.7639 5.74652i 0.636178 0.231911i
\(615\) −17.8128 + 3.54318i −0.718280 + 0.142875i
\(616\) 0.935913 2.77078i 0.0377090 0.111638i
\(617\) 2.66985 13.4222i 0.107484 0.540358i −0.889096 0.457721i \(-0.848666\pi\)
0.996580 0.0826370i \(-0.0263342\pi\)
\(618\) 7.39001 10.0893i 0.297270 0.405851i
\(619\) 5.91832 + 1.79530i 0.237877 + 0.0721593i 0.406973 0.913440i \(-0.366584\pi\)
−0.169095 + 0.985600i \(0.554084\pi\)
\(620\) −11.3978 + 2.40862i −0.457746 + 0.0967324i
\(621\) −0.808963 + 0.663899i −0.0324626 + 0.0266413i
\(622\) 3.99760 6.76056i 0.160289 0.271074i
\(623\) −0.675647 0.279862i −0.0270692 0.0112124i
\(624\) −8.68509 + 3.84231i −0.347682 + 0.153816i
\(625\) −15.7944 + 6.54224i −0.631775 + 0.261690i
\(626\) 2.22394 15.6335i 0.0888866 0.624839i
\(627\) −9.03509 0.889879i −0.360827 0.0355383i
\(628\) 9.09147 + 21.2300i 0.362789 + 0.847170i
\(629\) −2.72769 + 1.45798i −0.108760 + 0.0581334i
\(630\) 1.21872 + 2.00612i 0.0485549 + 0.0799257i
\(631\) 26.4560 17.6773i 1.05320 0.703724i 0.0966548 0.995318i \(-0.469186\pi\)
0.956542 + 0.291594i \(0.0941857\pi\)
\(632\) 2.53415 + 15.2070i 0.100803 + 0.604901i
\(633\) −15.1932 + 22.7382i −0.603876 + 0.903764i
\(634\) 29.8690 + 32.5635i 1.18625 + 1.29326i
\(635\) −3.35874 34.1019i −0.133288 1.35329i
\(636\) 0.477068 + 4.31614i 0.0189170 + 0.171146i
\(637\) 4.31651 + 14.2296i 0.171026 + 0.563799i
\(638\) 1.23011 0.590790i 0.0487007 0.0233896i
\(639\) −15.6555 −0.619323
\(640\) 21.7831 1.98274i 0.861054 0.0783745i
\(641\) −28.5176 −1.12638 −0.563188 0.826329i \(-0.690425\pi\)
−0.563188 + 0.826329i \(0.690425\pi\)
\(642\) 13.7741 6.61531i 0.543619 0.261085i
\(643\) 7.29472 + 24.0475i 0.287676 + 0.948339i 0.975041 + 0.222027i \(0.0712673\pi\)
−0.687365 + 0.726312i \(0.741233\pi\)
\(644\) −1.78600 + 0.197409i −0.0703783 + 0.00777901i
\(645\) −1.36241 13.8327i −0.0536447 0.544664i
\(646\) −18.0400 19.6675i −0.709776 0.773806i
\(647\) 14.0235 20.9876i 0.551319 0.825107i −0.446241 0.894913i \(-0.647238\pi\)
0.997561 + 0.0698051i \(0.0222377\pi\)
\(648\) 1.64404 2.30155i 0.0645840 0.0904134i
\(649\) 5.01293 3.34953i 0.196775 0.131481i
\(650\) −2.20047 3.62216i −0.0863094 0.142073i
\(651\) −2.28111 + 1.21928i −0.0894036 + 0.0477872i
\(652\) 23.9100 10.2391i 0.936388 0.400996i
\(653\) −15.4043 1.51719i −0.602816 0.0593722i −0.207995 0.978130i \(-0.566694\pi\)
−0.394822 + 0.918758i \(0.629194\pi\)
\(654\) −0.983332 + 6.91244i −0.0384513 + 0.270298i
\(655\) 8.27830 3.42898i 0.323460 0.133981i
\(656\) 0.894955 + 37.5653i 0.0349421 + 1.46668i
\(657\) 4.93667 + 2.04484i 0.192598 + 0.0797767i
\(658\) 4.09507 6.92540i 0.159642 0.269980i
\(659\) 14.1513 11.6137i 0.551258 0.452406i −0.317066 0.948404i \(-0.602698\pi\)
0.868324 + 0.495998i \(0.165198\pi\)
\(660\) 0.962875 + 4.55641i 0.0374799 + 0.177358i
\(661\) 37.6609 + 11.4243i 1.46484 + 0.444354i 0.919241 0.393695i \(-0.128803\pi\)
0.545596 + 0.838048i \(0.316303\pi\)
\(662\) 17.8287 24.3408i 0.692932 0.946033i
\(663\) 1.15961 5.82973i 0.0450354 0.226408i
\(664\) −10.5258 21.2637i −0.408481 0.825191i
\(665\) 12.2711 2.44087i 0.475852 0.0946528i
\(666\) −1.64150 + 0.598388i −0.0636068 + 0.0231870i
\(667\) −0.648120 0.531899i −0.0250953 0.0205952i
\(668\) −17.1661 8.91428i −0.664177 0.344904i
\(669\) −7.71463 + 14.4331i −0.298265 + 0.558014i
\(670\) 7.12911 7.96051i 0.275421 0.307541i
\(671\) 3.60283 3.60283i 0.139086 0.139086i
\(672\) 4.52184 1.77149i 0.174434 0.0683369i
\(673\) −0.778490 0.778490i −0.0300086 0.0300086i 0.691943 0.721952i \(-0.256755\pi\)
−0.721952 + 0.691943i \(0.756755\pi\)
\(674\) 41.2801 2.27445i 1.59005 0.0876085i
\(675\) 1.11318 + 0.595006i 0.0428462 + 0.0229018i
\(676\) 11.2711 9.47681i 0.433503 0.364493i
\(677\) −14.1765 + 17.2741i −0.544845 + 0.663896i −0.970531 0.240975i \(-0.922533\pi\)
0.425686 + 0.904871i \(0.360033\pi\)
\(678\) −7.72279 + 16.5833i −0.296592 + 0.636876i
\(679\) 2.60724 + 13.1075i 0.100057 + 0.503020i
\(680\) −6.82709 + 11.8660i −0.261807 + 0.455040i
\(681\) −3.17539 0.631624i −0.121681 0.0242039i
\(682\) −5.07155 + 0.783185i −0.194200 + 0.0299897i
\(683\) 3.85256 12.7002i 0.147414 0.485960i −0.851871 0.523751i \(-0.824532\pi\)
0.999286 + 0.0377913i \(0.0120322\pi\)
\(684\) −8.52447 12.4346i −0.325941 0.475449i
\(685\) −26.3257 32.0779i −1.00585 1.22564i
\(686\) −4.00560 15.5966i −0.152935 0.595482i
\(687\) 4.44684 10.7356i 0.169658 0.409590i
\(688\) −28.6785 2.13633i −1.09336 0.0814470i
\(689\) 1.97274 + 4.76263i 0.0751556 + 0.181442i
\(690\) 2.28804 1.71814i 0.0871041 0.0654084i
\(691\) −4.74536 + 48.1804i −0.180522 + 1.83287i 0.297734 + 0.954649i \(0.403769\pi\)
−0.478256 + 0.878220i \(0.658731\pi\)
\(692\) 10.4904 0.124944i 0.398787 0.00474967i
\(693\) 0.487421 + 0.911901i 0.0185156 + 0.0346403i
\(694\) 1.91771 + 0.468242i 0.0727951 + 0.0177742i
\(695\) −8.01617 11.9971i −0.304071 0.455074i
\(696\) 2.06548 + 0.932118i 0.0782917 + 0.0353319i
\(697\) −19.5543 13.0658i −0.740672 0.494901i
\(698\) 1.07168 24.8308i 0.0405636 0.939858i
\(699\) −24.5811 + 2.42103i −0.929743 + 0.0915717i
\(700\) 1.04433 + 1.89905i 0.0394719 + 0.0717772i
\(701\) −27.9556 + 8.48025i −1.05587 + 0.320294i −0.770046 0.637988i \(-0.779767\pi\)
−0.285823 + 0.958282i \(0.592267\pi\)
\(702\) 1.11234 3.16812i 0.0419824 0.119573i
\(703\) 9.31269i 0.351235i
\(704\) 9.62909 0.344186i 0.362910 0.0129720i
\(705\) 12.8116i 0.482511i
\(706\) −41.7861 14.6712i −1.57264 0.552158i
\(707\) −4.03513 + 1.22404i −0.151757 + 0.0460349i
\(708\) 9.61442 + 2.79190i 0.361332 + 0.104926i
\(709\) −15.0597 + 1.48325i −0.565579 + 0.0557047i −0.376766 0.926308i \(-0.622964\pi\)
−0.188813 + 0.982013i \(0.560464\pi\)
\(710\) 42.7647 + 1.84570i 1.60493 + 0.0692677i
\(711\) −4.53202 3.02820i −0.169964 0.113566i
\(712\) 0.0752151 2.40820i 0.00281880 0.0902511i
\(713\) 1.75167 + 2.62156i 0.0656006 + 0.0981782i
\(714\) −0.720974 + 2.95278i −0.0269818 + 0.110505i
\(715\) 2.60613 + 4.87572i 0.0974636 + 0.182342i
\(716\) 18.2446 + 17.8151i 0.681833 + 0.665783i
\(717\) −2.34440 + 23.8030i −0.0875530 + 0.888941i
\(718\) 7.04566 + 9.38268i 0.262942 + 0.350159i
\(719\) −11.3883 27.4938i −0.424712 1.02534i −0.980939 0.194315i \(-0.937752\pi\)
0.556227 0.831030i \(-0.312248\pi\)
\(720\) −4.76221 + 6.09310i −0.177477 + 0.227076i
\(721\) −2.90534 + 7.01411i −0.108200 + 0.261219i
\(722\) −51.8064 + 13.3052i −1.92803 + 0.495167i
\(723\) −7.47028 9.10257i −0.277823 0.338528i
\(724\) −45.0454 8.40367i −1.67410 0.312320i
\(725\) −0.293552 + 0.967713i −0.0109023 + 0.0359399i
\(726\) −2.06109 13.3467i −0.0764944 0.495342i
\(727\) 16.0993 + 3.20235i 0.597089 + 0.118768i 0.484377 0.874859i \(-0.339046\pi\)
0.112712 + 0.993628i \(0.464046\pi\)
\(728\) 4.56862 3.51654i 0.169324 0.130332i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) −13.2440 6.16769i −0.490181 0.228276i
\(731\) 11.4183 13.9132i 0.422321 0.514600i
\(732\) 8.42943 + 0.728974i 0.311561 + 0.0269437i
\(733\) −41.1515 21.9959i −1.51996 0.812438i −0.520815 0.853669i \(-0.674372\pi\)
−0.999150 + 0.0412312i \(0.986872\pi\)
\(734\) 1.78666 + 32.4270i 0.0659468 + 1.19690i
\(735\) 8.56193 + 8.56193i 0.315811 + 0.315811i
\(736\) −2.68930 5.27385i −0.0991289 0.194397i
\(737\) 3.32857 3.32857i 0.122609 0.122609i
\(738\) −9.89657 8.86296i −0.364298 0.326250i
\(739\) −8.61034 + 16.1088i −0.316737 + 0.592573i −0.989030 0.147712i \(-0.952809\pi\)
0.672294 + 0.740284i \(0.265309\pi\)
\(740\) 4.55447 1.44104i 0.167426 0.0529735i
\(741\) −13.8347 11.3539i −0.508232 0.417095i
\(742\) −0.902840 2.47667i −0.0331443 0.0909216i
\(743\) −37.2994 + 7.41930i −1.36838 + 0.272188i −0.823971 0.566632i \(-0.808246\pi\)
−0.544410 + 0.838820i \(0.683246\pi\)
\(744\) −6.41523 5.60898i −0.235194 0.205635i
\(745\) 3.65861 18.3931i 0.134041 0.673871i
\(746\) 7.30612 + 5.35144i 0.267496 + 0.195930i
\(747\) 8.02730 + 2.43506i 0.293704 + 0.0890940i
\(748\) −3.29037 + 5.05366i −0.120308 + 0.184780i
\(749\) −7.17047 + 5.88465i −0.262003 + 0.215020i
\(750\) −14.7380 8.71477i −0.538157 0.318218i
\(751\) −25.8691 10.7153i −0.943978 0.391008i −0.143014 0.989721i \(-0.545679\pi\)
−0.800964 + 0.598712i \(0.795679\pi\)
\(752\) 26.1131 + 4.55054i 0.952248 + 0.165941i
\(753\) 6.31012 2.61374i 0.229953 0.0952499i
\(754\) 2.66330 + 0.378869i 0.0969918 + 0.0137976i
\(755\) 36.6675 + 3.61143i 1.33447 + 0.131434i
\(756\) −0.638136 + 1.59403i −0.0232088 + 0.0579744i
\(757\) −29.1373 + 15.5742i −1.05901 + 0.566055i −0.906483 0.422243i \(-0.861243\pi\)
−0.152532 + 0.988299i \(0.548743\pi\)
\(758\) −7.97002 + 4.84179i −0.289484 + 0.175862i
\(759\) 1.04800 0.700253i 0.0380401 0.0254176i
\(760\) 21.8195 + 34.9714i 0.791477 + 1.26855i
\(761\) 8.93620 13.3740i 0.323937 0.484806i −0.633382 0.773839i \(-0.718334\pi\)
0.957319 + 0.289033i \(0.0933338\pi\)
\(762\) 18.4720 16.9435i 0.669170 0.613798i
\(763\) −0.415446 4.21809i −0.0150402 0.152705i
\(764\) −22.5602 18.0694i −0.816200 0.653727i
\(765\) −1.40500 4.63167i −0.0507979 0.167458i
\(766\) 12.5022 + 26.0315i 0.451723 + 0.940556i
\(767\) 11.8851 0.429145
\(768\) 10.7278 + 11.8708i 0.387105 + 0.428349i
\(769\) −28.0274 −1.01070 −0.505348 0.862916i \(-0.668636\pi\)
−0.505348 + 0.862916i \(0.668636\pi\)
\(770\) −1.22393 2.54842i −0.0441076 0.0918386i
\(771\) 2.75276 + 9.07462i 0.0991381 + 0.326814i
\(772\) −12.9775 10.3942i −0.467069 0.374094i
\(773\) 5.40040 + 54.8312i 0.194239 + 1.97214i 0.231499 + 0.972835i