Properties

Label 285.2.k.c.77.3
Level $285$
Weight $2$
Character 285.77
Analytic conductor $2.276$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [285,2,Mod(77,285)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(285, base_ring=CyclotomicField(4))
 
chi = DirichletCharacter(H, H._module([2, 1, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("285.77");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 285 = 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 285.k (of order \(4\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.27573645761\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.3
Character \(\chi\) \(=\) 285.77
Dual form 285.2.k.c.248.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.53127 + 1.53127i) q^{2} +(1.71677 - 0.229557i) q^{3} -2.68957i q^{4} +(-1.36334 - 1.77237i) q^{5} +(-2.27733 + 2.98035i) q^{6} +(-1.27504 - 1.27504i) q^{7} +(1.05592 + 1.05592i) q^{8} +(2.89461 - 0.788193i) q^{9} +O(q^{10})\) \(q+(-1.53127 + 1.53127i) q^{2} +(1.71677 - 0.229557i) q^{3} -2.68957i q^{4} +(-1.36334 - 1.77237i) q^{5} +(-2.27733 + 2.98035i) q^{6} +(-1.27504 - 1.27504i) q^{7} +(1.05592 + 1.05592i) q^{8} +(2.89461 - 0.788193i) q^{9} +(4.80162 + 0.626344i) q^{10} +0.550350i q^{11} +(-0.617409 - 4.61738i) q^{12} +(1.35628 - 1.35628i) q^{13} +3.90484 q^{14} +(-2.74740 - 2.72980i) q^{15} +2.14535 q^{16} +(4.95696 - 4.95696i) q^{17} +(-3.22549 + 5.63936i) q^{18} -1.00000i q^{19} +(-4.76693 + 3.66680i) q^{20} +(-2.48164 - 1.89625i) q^{21} +(-0.842734 - 0.842734i) q^{22} +(-6.10998 - 6.10998i) q^{23} +(2.05517 + 1.57038i) q^{24} +(-1.28262 + 4.83269i) q^{25} +4.15367i q^{26} +(4.78844 - 2.01762i) q^{27} +(-3.42930 + 3.42930i) q^{28} +3.46289 q^{29} +(8.38707 - 0.0269540i) q^{30} +4.86508 q^{31} +(-5.39694 + 5.39694i) q^{32} +(0.126337 + 0.944825i) q^{33} +15.1809i q^{34} +(-0.521535 + 3.99814i) q^{35} +(-2.11990 - 7.78526i) q^{36} +(-1.07825 - 1.07825i) q^{37} +(1.53127 + 1.53127i) q^{38} +(2.01708 - 2.63977i) q^{39} +(0.431910 - 3.31106i) q^{40} +9.60169i q^{41} +(6.70372 - 0.896383i) q^{42} +(-4.90024 + 4.90024i) q^{43} +1.48021 q^{44} +(-5.34330 - 4.05575i) q^{45} +18.7121 q^{46} +(0.121189 - 0.121189i) q^{47} +(3.68307 - 0.492478i) q^{48} -3.74857i q^{49} +(-5.43611 - 9.36419i) q^{50} +(7.37206 - 9.64787i) q^{51} +(-3.64782 - 3.64782i) q^{52} +(0.327787 + 0.327787i) q^{53} +(-4.24287 + 10.4219i) q^{54} +(0.975426 - 0.750313i) q^{55} -2.69267i q^{56} +(-0.229557 - 1.71677i) q^{57} +(-5.30261 + 5.30261i) q^{58} -5.26961 q^{59} +(-7.34199 + 7.38933i) q^{60} -2.56650 q^{61} +(-7.44975 + 7.44975i) q^{62} +(-4.69570 - 2.68575i) q^{63} -12.2377i q^{64} +(-4.25291 - 0.554769i) q^{65} +(-1.64024 - 1.25333i) q^{66} +(-0.646719 - 0.646719i) q^{67} +(-13.3321 - 13.3321i) q^{68} +(-11.8920 - 9.08686i) q^{69} +(-5.32362 - 6.92084i) q^{70} +0.570319i q^{71} +(3.88875 + 2.22421i) q^{72} +(-11.1765 + 11.1765i) q^{73} +3.30217 q^{74} +(-1.09259 + 8.59106i) q^{75} -2.68957 q^{76} +(0.701715 - 0.701715i) q^{77} +(0.953503 + 7.13090i) q^{78} -3.73616i q^{79} +(-2.92483 - 3.80235i) q^{80} +(7.75750 - 4.56302i) q^{81} +(-14.7028 - 14.7028i) q^{82} +(6.83995 + 6.83995i) q^{83} +(-5.10010 + 6.67454i) q^{84} +(-15.5436 - 2.02758i) q^{85} -15.0072i q^{86} +(5.94498 - 0.794929i) q^{87} +(-0.581126 + 0.581126i) q^{88} +14.6609 q^{89} +(14.3925 - 1.97158i) q^{90} -3.45862 q^{91} +(-16.4332 + 16.4332i) q^{92} +(8.35223 - 1.11681i) q^{93} +0.371145i q^{94} +(-1.77237 + 1.36334i) q^{95} +(-8.02641 + 10.5042i) q^{96} +(-0.0917474 - 0.0917474i) q^{97} +(5.74007 + 5.74007i) q^{98} +(0.433782 + 1.59305i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 2 q^{3} - 12 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 2 q^{3} - 12 q^{6} - 8 q^{10} + 34 q^{12} + 8 q^{13} - 14 q^{15} - 20 q^{16} - 24 q^{18} - 4 q^{21} - 32 q^{22} + 8 q^{25} + 22 q^{27} - 28 q^{28} + 12 q^{30} + 72 q^{31} - 84 q^{36} - 12 q^{37} + 20 q^{40} + 48 q^{42} - 12 q^{43} - 52 q^{45} + 8 q^{46} + 46 q^{48} + 28 q^{51} - 76 q^{52} + 104 q^{55} + 2 q^{57} - 60 q^{58} - 22 q^{60} + 96 q^{61} + 56 q^{63} - 28 q^{66} - 72 q^{67} + 68 q^{70} + 20 q^{72} - 72 q^{73} + 2 q^{75} - 36 q^{76} + 76 q^{78} - 100 q^{81} - 116 q^{82} - 44 q^{85} + 4 q^{87} + 60 q^{88} - 36 q^{90} - 80 q^{91} + 52 q^{93} - 80 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/285\mathbb{Z}\right)^\times\).

\(n\) \(172\) \(191\) \(211\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.53127 + 1.53127i −1.08277 + 1.08277i −0.0865210 + 0.996250i \(0.527575\pi\)
−0.996250 + 0.0865210i \(0.972425\pi\)
\(3\) 1.71677 0.229557i 0.991178 0.132535i
\(4\) 2.68957i 1.34479i
\(5\) −1.36334 1.77237i −0.609703 0.792630i
\(6\) −2.27733 + 2.98035i −0.929715 + 1.21672i
\(7\) −1.27504 1.27504i −0.481918 0.481918i 0.423826 0.905744i \(-0.360687\pi\)
−0.905744 + 0.423826i \(0.860687\pi\)
\(8\) 1.05592 + 1.05592i 0.373325 + 0.373325i
\(9\) 2.89461 0.788193i 0.964869 0.262731i
\(10\) 4.80162 + 0.626344i 1.51841 + 0.198068i
\(11\) 0.550350i 0.165937i 0.996552 + 0.0829684i \(0.0264400\pi\)
−0.996552 + 0.0829684i \(0.973560\pi\)
\(12\) −0.617409 4.61738i −0.178231 1.33292i
\(13\) 1.35628 1.35628i 0.376165 0.376165i −0.493551 0.869717i \(-0.664302\pi\)
0.869717 + 0.493551i \(0.164302\pi\)
\(14\) 3.90484 1.04361
\(15\) −2.74740 2.72980i −0.709376 0.704831i
\(16\) 2.14535 0.536336
\(17\) 4.95696 4.95696i 1.20224 1.20224i 0.228756 0.973484i \(-0.426534\pi\)
0.973484 0.228756i \(-0.0734657\pi\)
\(18\) −3.22549 + 5.63936i −0.760255 + 1.32921i
\(19\) 1.00000i 0.229416i
\(20\) −4.76693 + 3.66680i −1.06592 + 0.819921i
\(21\) −2.48164 1.89625i −0.541537 0.413796i
\(22\) −0.842734 0.842734i −0.179672 0.179672i
\(23\) −6.10998 6.10998i −1.27402 1.27402i −0.943960 0.330060i \(-0.892931\pi\)
−0.330060 0.943960i \(-0.607069\pi\)
\(24\) 2.05517 + 1.57038i 0.419510 + 0.320553i
\(25\) −1.28262 + 4.83269i −0.256524 + 0.966538i
\(26\) 4.15367i 0.814602i
\(27\) 4.78844 2.01762i 0.921536 0.388292i
\(28\) −3.42930 + 3.42930i −0.648077 + 0.648077i
\(29\) 3.46289 0.643042 0.321521 0.946902i \(-0.395806\pi\)
0.321521 + 0.946902i \(0.395806\pi\)
\(30\) 8.38707 0.0269540i 1.53126 0.00492111i
\(31\) 4.86508 0.873794 0.436897 0.899511i \(-0.356077\pi\)
0.436897 + 0.899511i \(0.356077\pi\)
\(32\) −5.39694 + 5.39694i −0.954054 + 0.954054i
\(33\) 0.126337 + 0.944825i 0.0219924 + 0.164473i
\(34\) 15.1809i 2.60350i
\(35\) −0.521535 + 3.99814i −0.0881556 + 0.675809i
\(36\) −2.11990 7.78526i −0.353317 1.29754i
\(37\) −1.07825 1.07825i −0.177263 0.177263i 0.612899 0.790161i \(-0.290003\pi\)
−0.790161 + 0.612899i \(0.790003\pi\)
\(38\) 1.53127 + 1.53127i 0.248405 + 0.248405i
\(39\) 2.01708 2.63977i 0.322992 0.422702i
\(40\) 0.431910 3.31106i 0.0682909 0.523525i
\(41\) 9.60169i 1.49953i 0.661703 + 0.749766i \(0.269834\pi\)
−0.661703 + 0.749766i \(0.730166\pi\)
\(42\) 6.70372 0.896383i 1.03441 0.138315i
\(43\) −4.90024 + 4.90024i −0.747280 + 0.747280i −0.973967 0.226688i \(-0.927210\pi\)
0.226688 + 0.973967i \(0.427210\pi\)
\(44\) 1.48021 0.223149
\(45\) −5.34330 4.05575i −0.796532 0.604596i
\(46\) 18.7121 2.75894
\(47\) 0.121189 0.121189i 0.0176772 0.0176772i −0.698213 0.715890i \(-0.746021\pi\)
0.715890 + 0.698213i \(0.246021\pi\)
\(48\) 3.68307 0.492478i 0.531605 0.0710831i
\(49\) 3.74857i 0.535510i
\(50\) −5.43611 9.36419i −0.768783 1.32430i
\(51\) 7.37206 9.64787i 1.03230 1.35097i
\(52\) −3.64782 3.64782i −0.505862 0.505862i
\(53\) 0.327787 + 0.327787i 0.0450250 + 0.0450250i 0.729261 0.684236i \(-0.239864\pi\)
−0.684236 + 0.729261i \(0.739864\pi\)
\(54\) −4.24287 + 10.4219i −0.577382 + 1.41824i
\(55\) 0.975426 0.750313i 0.131526 0.101172i
\(56\) 2.69267i 0.359824i
\(57\) −0.229557 1.71677i −0.0304055 0.227392i
\(58\) −5.30261 + 5.30261i −0.696267 + 0.696267i
\(59\) −5.26961 −0.686045 −0.343022 0.939327i \(-0.611451\pi\)
−0.343022 + 0.939327i \(0.611451\pi\)
\(60\) −7.34199 + 7.38933i −0.947847 + 0.953959i
\(61\) −2.56650 −0.328607 −0.164303 0.986410i \(-0.552538\pi\)
−0.164303 + 0.986410i \(0.552538\pi\)
\(62\) −7.44975 + 7.44975i −0.946119 + 0.946119i
\(63\) −4.69570 2.68575i −0.591603 0.338373i
\(64\) 12.2377i 1.52971i
\(65\) −4.25291 0.554769i −0.527509 0.0688106i
\(66\) −1.64024 1.25333i −0.201899 0.154274i
\(67\) −0.646719 0.646719i −0.0790093 0.0790093i 0.666498 0.745507i \(-0.267793\pi\)
−0.745507 + 0.666498i \(0.767793\pi\)
\(68\) −13.3321 13.3321i −1.61676 1.61676i
\(69\) −11.8920 9.08686i −1.43163 1.09393i
\(70\) −5.32362 6.92084i −0.636295 0.827199i
\(71\) 0.570319i 0.0676844i 0.999427 + 0.0338422i \(0.0107744\pi\)
−0.999427 + 0.0338422i \(0.989226\pi\)
\(72\) 3.88875 + 2.22421i 0.458293 + 0.262125i
\(73\) −11.1765 + 11.1765i −1.30811 + 1.30811i −0.385340 + 0.922775i \(0.625916\pi\)
−0.922775 + 0.385340i \(0.874084\pi\)
\(74\) 3.30217 0.383870
\(75\) −1.09259 + 8.59106i −0.126161 + 0.992010i
\(76\) −2.68957 −0.308515
\(77\) 0.701715 0.701715i 0.0799679 0.0799679i
\(78\) 0.953503 + 7.13090i 0.107963 + 0.807415i
\(79\) 3.73616i 0.420351i −0.977664 0.210176i \(-0.932596\pi\)
0.977664 0.210176i \(-0.0674036\pi\)
\(80\) −2.92483 3.80235i −0.327006 0.425116i
\(81\) 7.75750 4.56302i 0.861945 0.507002i
\(82\) −14.7028 14.7028i −1.62365 1.62365i
\(83\) 6.83995 + 6.83995i 0.750782 + 0.750782i 0.974625 0.223843i \(-0.0718604\pi\)
−0.223843 + 0.974625i \(0.571860\pi\)
\(84\) −5.10010 + 6.67454i −0.556467 + 0.728252i
\(85\) −15.5436 2.02758i −1.68594 0.219921i
\(86\) 15.0072i 1.61827i
\(87\) 5.94498 0.794929i 0.637369 0.0852253i
\(88\) −0.581126 + 0.581126i −0.0619483 + 0.0619483i
\(89\) 14.6609 1.55406 0.777028 0.629466i \(-0.216726\pi\)
0.777028 + 0.629466i \(0.216726\pi\)
\(90\) 14.3925 1.97158i 1.51710 0.207823i
\(91\) −3.45862 −0.362562
\(92\) −16.4332 + 16.4332i −1.71328 + 1.71328i
\(93\) 8.35223 1.11681i 0.866086 0.115808i
\(94\) 0.371145i 0.0382807i
\(95\) −1.77237 + 1.36334i −0.181842 + 0.139876i
\(96\) −8.02641 + 10.5042i −0.819192 + 1.07208i
\(97\) −0.0917474 0.0917474i −0.00931553 0.00931553i 0.702434 0.711749i \(-0.252097\pi\)
−0.711749 + 0.702434i \(0.752097\pi\)
\(98\) 5.74007 + 5.74007i 0.579835 + 0.579835i
\(99\) 0.433782 + 1.59305i 0.0435967 + 0.160107i
\(100\) 12.9979 + 3.44970i 1.29979 + 0.344970i
\(101\) 4.68505i 0.466180i −0.972455 0.233090i \(-0.925116\pi\)
0.972455 0.233090i \(-0.0748837\pi\)
\(102\) 3.48487 + 26.0621i 0.345054 + 2.58053i
\(103\) 9.61629 9.61629i 0.947521 0.947521i −0.0511689 0.998690i \(-0.516295\pi\)
0.998690 + 0.0511689i \(0.0162947\pi\)
\(104\) 2.86426 0.280863
\(105\) 0.0224437 + 6.98362i 0.00219028 + 0.681531i
\(106\) −1.00386 −0.0975036
\(107\) 7.27368 7.27368i 0.703174 0.703174i −0.261917 0.965090i \(-0.584355\pi\)
0.965090 + 0.261917i \(0.0843546\pi\)
\(108\) −5.42654 12.8789i −0.522170 1.23927i
\(109\) 12.3779i 1.18559i 0.805353 + 0.592796i \(0.201976\pi\)
−0.805353 + 0.592796i \(0.798024\pi\)
\(110\) −0.344709 + 2.64257i −0.0328667 + 0.251959i
\(111\) −2.09862 1.60358i −0.199192 0.152205i
\(112\) −2.73539 2.73539i −0.258470 0.258470i
\(113\) −0.441042 0.441042i −0.0414897 0.0414897i 0.686058 0.727547i \(-0.259340\pi\)
−0.727547 + 0.686058i \(0.759340\pi\)
\(114\) 2.98035 + 2.27733i 0.279136 + 0.213291i
\(115\) −2.49920 + 19.1592i −0.233052 + 1.78660i
\(116\) 9.31368i 0.864754i
\(117\) 2.85689 4.99492i 0.264120 0.461780i
\(118\) 8.06919 8.06919i 0.742829 0.742829i
\(119\) −12.6406 −1.15876
\(120\) −0.0185867 5.78349i −0.00169673 0.527958i
\(121\) 10.6971 0.972465
\(122\) 3.93000 3.93000i 0.355806 0.355806i
\(123\) 2.20413 + 16.4839i 0.198740 + 1.48630i
\(124\) 13.0850i 1.17507i
\(125\) 10.3140 4.31531i 0.922510 0.385973i
\(126\) 11.3030 3.07777i 1.00695 0.274190i
\(127\) 3.93225 + 3.93225i 0.348931 + 0.348931i 0.859711 0.510780i \(-0.170643\pi\)
−0.510780 + 0.859711i \(0.670643\pi\)
\(128\) 7.94527 + 7.94527i 0.702269 + 0.702269i
\(129\) −7.28771 + 9.53748i −0.641647 + 0.839728i
\(130\) 7.36186 5.66286i 0.645677 0.496665i
\(131\) 15.2517i 1.33254i 0.745708 + 0.666272i \(0.232111\pi\)
−0.745708 + 0.666272i \(0.767889\pi\)
\(132\) 2.54118 0.339791i 0.221181 0.0295750i
\(133\) −1.27504 + 1.27504i −0.110560 + 0.110560i
\(134\) 1.98060 0.171098
\(135\) −10.1043 5.73621i −0.869635 0.493694i
\(136\) 10.4683 0.897651
\(137\) −6.13042 + 6.13042i −0.523757 + 0.523757i −0.918704 0.394947i \(-0.870763\pi\)
0.394947 + 0.918704i \(0.370763\pi\)
\(138\) 32.1243 4.29548i 2.73461 0.365656i
\(139\) 4.12646i 0.350001i 0.984568 + 0.175001i \(0.0559928\pi\)
−0.984568 + 0.175001i \(0.944007\pi\)
\(140\) 10.7533 + 1.40271i 0.908819 + 0.118550i
\(141\) 0.180234 0.235873i 0.0151784 0.0198641i
\(142\) −0.873312 0.873312i −0.0732867 0.0732867i
\(143\) 0.746430 + 0.746430i 0.0624196 + 0.0624196i
\(144\) 6.20993 1.69095i 0.517494 0.140912i
\(145\) −4.72108 6.13753i −0.392065 0.509694i
\(146\) 34.2286i 2.83278i
\(147\) −0.860510 6.43544i −0.0709737 0.530786i
\(148\) −2.90002 + 2.90002i −0.238380 + 0.238380i
\(149\) 22.0120 1.80330 0.901648 0.432470i \(-0.142358\pi\)
0.901648 + 0.432470i \(0.142358\pi\)
\(150\) −11.4822 14.8283i −0.937516 1.21072i
\(151\) −20.0139 −1.62871 −0.814354 0.580368i \(-0.802909\pi\)
−0.814354 + 0.580368i \(0.802909\pi\)
\(152\) 1.05592 1.05592i 0.0856465 0.0856465i
\(153\) 10.4414 18.2555i 0.844138 1.47587i
\(154\) 2.14903i 0.173174i
\(155\) −6.63275 8.62274i −0.532755 0.692595i
\(156\) −7.09986 5.42509i −0.568443 0.434355i
\(157\) 0.997646 + 0.997646i 0.0796208 + 0.0796208i 0.745796 0.666175i \(-0.232070\pi\)
−0.666175 + 0.745796i \(0.732070\pi\)
\(158\) 5.72107 + 5.72107i 0.455144 + 0.455144i
\(159\) 0.637981 + 0.487490i 0.0505952 + 0.0386604i
\(160\) 16.9233 + 2.20754i 1.33790 + 0.174522i
\(161\) 15.5809i 1.22795i
\(162\) −4.89162 + 18.8660i −0.384322 + 1.48226i
\(163\) 7.29415 7.29415i 0.571322 0.571322i −0.361176 0.932498i \(-0.617625\pi\)
0.932498 + 0.361176i \(0.117625\pi\)
\(164\) 25.8244 2.01655
\(165\) 1.50234 1.51203i 0.116957 0.117711i
\(166\) −20.9476 −1.62585
\(167\) −0.612532 + 0.612532i −0.0473992 + 0.0473992i −0.730409 0.683010i \(-0.760671\pi\)
0.683010 + 0.730409i \(0.260671\pi\)
\(168\) −0.618121 4.62270i −0.0476891 0.356649i
\(169\) 9.32099i 0.716999i
\(170\) 26.9062 20.6967i 2.06361 1.58736i
\(171\) −0.788193 2.89461i −0.0602746 0.221356i
\(172\) 13.1796 + 13.1796i 1.00493 + 1.00493i
\(173\) 13.0625 + 13.0625i 0.993127 + 0.993127i 0.999977 0.00684987i \(-0.00218040\pi\)
−0.00684987 + 0.999977i \(0.502180\pi\)
\(174\) −7.88612 + 10.3206i −0.597845 + 0.782404i
\(175\) 7.79723 4.52646i 0.589415 0.342168i
\(176\) 1.18069i 0.0889979i
\(177\) −9.04671 + 1.20967i −0.679993 + 0.0909247i
\(178\) −22.4498 + 22.4498i −1.68269 + 1.68269i
\(179\) −24.4603 −1.82825 −0.914123 0.405437i \(-0.867120\pi\)
−0.914123 + 0.405437i \(0.867120\pi\)
\(180\) −10.9082 + 14.3712i −0.813052 + 1.07117i
\(181\) −4.53223 −0.336878 −0.168439 0.985712i \(-0.553873\pi\)
−0.168439 + 0.985712i \(0.553873\pi\)
\(182\) 5.29607 5.29607i 0.392571 0.392571i
\(183\) −4.40609 + 0.589157i −0.325708 + 0.0435518i
\(184\) 12.9033i 0.951246i
\(185\) −0.441042 + 3.38107i −0.0324260 + 0.248581i
\(186\) −11.0794 + 14.4997i −0.812379 + 1.06317i
\(187\) 2.72806 + 2.72806i 0.199496 + 0.199496i
\(188\) −0.325946 0.325946i −0.0237720 0.0237720i
\(189\) −8.67797 3.53289i −0.631230 0.256980i
\(190\) 0.626344 4.80162i 0.0454398 0.348346i
\(191\) 17.4603i 1.26338i 0.775220 + 0.631691i \(0.217639\pi\)
−0.775220 + 0.631691i \(0.782361\pi\)
\(192\) −2.80924 21.0093i −0.202739 1.51621i
\(193\) 14.8126 14.8126i 1.06623 1.06623i 0.0685884 0.997645i \(-0.478150\pi\)
0.997645 0.0685884i \(-0.0218495\pi\)
\(194\) 0.280980 0.0201732
\(195\) −7.42863 + 0.0238738i −0.531975 + 0.00170964i
\(196\) −10.0821 −0.720147
\(197\) −7.13416 + 7.13416i −0.508288 + 0.508288i −0.914001 0.405713i \(-0.867023\pi\)
0.405713 + 0.914001i \(0.367023\pi\)
\(198\) −3.10362 1.77515i −0.220565 0.126154i
\(199\) 8.94901i 0.634378i −0.948362 0.317189i \(-0.897261\pi\)
0.948362 0.317189i \(-0.102739\pi\)
\(200\) −6.45728 + 3.74859i −0.456599 + 0.265066i
\(201\) −1.25873 0.961810i −0.0887838 0.0678408i
\(202\) 7.17408 + 7.17408i 0.504766 + 0.504766i
\(203\) −4.41530 4.41530i −0.309893 0.309893i
\(204\) −25.9487 19.8277i −1.81677 1.38822i
\(205\) 17.0178 13.0903i 1.18857 0.914269i
\(206\) 29.4503i 2.05190i
\(207\) −22.5019 12.8702i −1.56399 0.894538i
\(208\) 2.90970 2.90970i 0.201751 0.201751i
\(209\) 0.550350 0.0380685
\(210\) −10.7282 10.6594i −0.740314 0.735571i
\(211\) 15.3034 1.05353 0.526764 0.850012i \(-0.323405\pi\)
0.526764 + 0.850012i \(0.323405\pi\)
\(212\) 0.881607 0.881607i 0.0605490 0.0605490i
\(213\) 0.130921 + 0.979107i 0.00897053 + 0.0670873i
\(214\) 22.2759i 1.52275i
\(215\) 15.3657 + 2.00438i 1.04793 + 0.136697i
\(216\) 7.18667 + 2.92577i 0.488991 + 0.199073i
\(217\) −6.20315 6.20315i −0.421097 0.421097i
\(218\) −18.9540 18.9540i −1.28372 1.28372i
\(219\) −16.6219 + 21.7532i −1.12320 + 1.46995i
\(220\) −2.01802 2.62348i −0.136055 0.176875i
\(221\) 13.4461i 0.904481i
\(222\) 5.66907 0.758036i 0.380483 0.0508760i
\(223\) −17.9997 + 17.9997i −1.20535 + 1.20535i −0.232834 + 0.972517i \(0.574800\pi\)
−0.972517 + 0.232834i \(0.925200\pi\)
\(224\) 13.7626 0.919551
\(225\) 0.0964118 + 14.9997i 0.00642745 + 0.999979i
\(226\) 1.35071 0.0898477
\(227\) 8.82462 8.82462i 0.585711 0.585711i −0.350756 0.936467i \(-0.614075\pi\)
0.936467 + 0.350756i \(0.114075\pi\)
\(228\) −4.61738 + 0.617409i −0.305794 + 0.0408889i
\(229\) 13.1257i 0.867373i −0.901064 0.433686i \(-0.857213\pi\)
0.901064 0.433686i \(-0.142787\pi\)
\(230\) −25.5109 33.1648i −1.68214 2.18682i
\(231\) 1.04360 1.36577i 0.0686639 0.0898610i
\(232\) 3.65653 + 3.65653i 0.240063 + 0.240063i
\(233\) −6.48625 6.48625i −0.424929 0.424929i 0.461968 0.886897i \(-0.347144\pi\)
−0.886897 + 0.461968i \(0.847144\pi\)
\(234\) 3.27389 + 12.0232i 0.214021 + 0.785984i
\(235\) −0.380013 0.0495706i −0.0247893 0.00323363i
\(236\) 14.1730i 0.922583i
\(237\) −0.857662 6.41414i −0.0557111 0.416643i
\(238\) 19.3562 19.3562i 1.25467 1.25467i
\(239\) −16.9699 −1.09769 −0.548846 0.835924i \(-0.684933\pi\)
−0.548846 + 0.835924i \(0.684933\pi\)
\(240\) −5.89412 5.85636i −0.380464 0.378026i
\(241\) 23.1998 1.49443 0.747216 0.664581i \(-0.231390\pi\)
0.747216 + 0.664581i \(0.231390\pi\)
\(242\) −16.3802 + 16.3802i −1.05296 + 1.05296i
\(243\) 12.2704 9.61445i 0.787146 0.616767i
\(244\) 6.90279i 0.441906i
\(245\) −6.64387 + 5.11057i −0.424461 + 0.326502i
\(246\) −28.6164 21.8662i −1.82452 1.39414i
\(247\) −1.35628 1.35628i −0.0862982 0.0862982i
\(248\) 5.13714 + 5.13714i 0.326209 + 0.326209i
\(249\) 13.3128 + 10.1725i 0.843663 + 0.644654i
\(250\) −9.18558 + 22.4014i −0.580947 + 1.41679i
\(251\) 16.6272i 1.04950i 0.851256 + 0.524751i \(0.175842\pi\)
−0.851256 + 0.524751i \(0.824158\pi\)
\(252\) −7.22353 + 12.6294i −0.455039 + 0.795579i
\(253\) 3.36263 3.36263i 0.211407 0.211407i
\(254\) −12.0427 −0.755625
\(255\) −27.1503 + 0.0872544i −1.70021 + 0.00546408i
\(256\) 0.142627 0.00891422
\(257\) 6.70109 6.70109i 0.418003 0.418003i −0.466512 0.884515i \(-0.654490\pi\)
0.884515 + 0.466512i \(0.154490\pi\)
\(258\) −3.44500 25.7639i −0.214476 1.60399i
\(259\) 2.74960i 0.170852i
\(260\) −1.49209 + 11.4385i −0.0925355 + 0.709387i
\(261\) 10.0237 2.72942i 0.620451 0.168947i
\(262\) −23.3544 23.3544i −1.44284 1.44284i
\(263\) 8.03469 + 8.03469i 0.495440 + 0.495440i 0.910015 0.414575i \(-0.136070\pi\)
−0.414575 + 0.910015i \(0.636070\pi\)
\(264\) −0.864259 + 1.13106i −0.0531915 + 0.0696121i
\(265\) 0.134077 1.02785i 0.00823627 0.0631401i
\(266\) 3.90484i 0.239421i
\(267\) 25.1695 3.36552i 1.54035 0.205966i
\(268\) −1.73940 + 1.73940i −0.106251 + 0.106251i
\(269\) −9.62953 −0.587123 −0.293561 0.955940i \(-0.594841\pi\)
−0.293561 + 0.955940i \(0.594841\pi\)
\(270\) 24.2560 6.68865i 1.47617 0.407058i
\(271\) −13.4397 −0.816404 −0.408202 0.912892i \(-0.633844\pi\)
−0.408202 + 0.912892i \(0.633844\pi\)
\(272\) 10.6344 10.6344i 0.644805 0.644805i
\(273\) −5.93765 + 0.793949i −0.359363 + 0.0480520i
\(274\) 18.7747i 1.13422i
\(275\) −2.65967 0.705890i −0.160384 0.0425667i
\(276\) −24.4398 + 31.9845i −1.47110 + 1.92524i
\(277\) 19.5540 + 19.5540i 1.17489 + 1.17489i 0.981030 + 0.193858i \(0.0621001\pi\)
0.193858 + 0.981030i \(0.437900\pi\)
\(278\) −6.31872 6.31872i −0.378971 0.378971i
\(279\) 14.0825 3.83462i 0.843097 0.229573i
\(280\) −4.77242 + 3.67102i −0.285207 + 0.219386i
\(281\) 17.1170i 1.02111i −0.859844 0.510557i \(-0.829439\pi\)
0.859844 0.510557i \(-0.170561\pi\)
\(282\) 0.0851989 + 0.637171i 0.00507352 + 0.0379430i
\(283\) −10.4920 + 10.4920i −0.623682 + 0.623682i −0.946471 0.322789i \(-0.895380\pi\)
0.322789 + 0.946471i \(0.395380\pi\)
\(284\) 1.53391 0.0910211
\(285\) −2.72980 + 2.74740i −0.161699 + 0.162742i
\(286\) −2.28597 −0.135172
\(287\) 12.2425 12.2425i 0.722651 0.722651i
\(288\) −11.3682 + 19.8759i −0.669878 + 1.17120i
\(289\) 32.1429i 1.89076i
\(290\) 16.6275 + 2.16896i 0.976398 + 0.127366i
\(291\) −0.178570 0.136448i −0.0104680 0.00799872i
\(292\) 30.0601 + 30.0601i 1.75913 + 1.75913i
\(293\) 7.46805 + 7.46805i 0.436288 + 0.436288i 0.890761 0.454473i \(-0.150172\pi\)
−0.454473 + 0.890761i \(0.650172\pi\)
\(294\) 11.1721 + 8.53672i 0.651568 + 0.497872i
\(295\) 7.18426 + 9.33972i 0.418284 + 0.543779i
\(296\) 2.27709i 0.132353i
\(297\) 1.11040 + 2.63532i 0.0644319 + 0.152917i
\(298\) −33.7064 + 33.7064i −1.95256 + 1.95256i
\(299\) −16.5737 −0.958484
\(300\) 23.1063 + 2.93859i 1.33404 + 0.169660i
\(301\) 12.4960 0.720255
\(302\) 30.6467 30.6467i 1.76352 1.76352i
\(303\) −1.07549 8.04316i −0.0617850 0.462068i
\(304\) 2.14535i 0.123044i
\(305\) 3.49901 + 4.54880i 0.200352 + 0.260463i
\(306\) 11.9655 + 43.9427i 0.684020 + 2.51204i
\(307\) 9.69105 + 9.69105i 0.553098 + 0.553098i 0.927334 0.374236i \(-0.122095\pi\)
−0.374236 + 0.927334i \(0.622095\pi\)
\(308\) −1.88731 1.88731i −0.107540 0.107540i
\(309\) 14.3015 18.7165i 0.813583 1.06474i
\(310\) 23.3603 + 3.04722i 1.32677 + 0.173070i
\(311\) 17.2520i 0.978274i −0.872207 0.489137i \(-0.837312\pi\)
0.872207 0.489137i \(-0.162688\pi\)
\(312\) 4.91727 0.657509i 0.278386 0.0372241i
\(313\) −3.34650 + 3.34650i −0.189155 + 0.189155i −0.795331 0.606176i \(-0.792703\pi\)
0.606176 + 0.795331i \(0.292703\pi\)
\(314\) −3.05533 −0.172422
\(315\) 1.64167 + 11.9841i 0.0924975 + 0.675229i
\(316\) −10.0487 −0.565283
\(317\) 0.521769 0.521769i 0.0293054 0.0293054i −0.692302 0.721608i \(-0.743403\pi\)
0.721608 + 0.692302i \(0.243403\pi\)
\(318\) −1.72340 + 0.230443i −0.0966434 + 0.0129226i
\(319\) 1.90580i 0.106704i
\(320\) −21.6897 + 16.6841i −1.21249 + 0.932668i
\(321\) 10.8175 14.1570i 0.603776 0.790165i
\(322\) −23.8585 23.8585i −1.32958 1.32958i
\(323\) −4.95696 4.95696i −0.275813 0.275813i
\(324\) −12.2726 20.8644i −0.681809 1.15913i
\(325\) 4.81490 + 8.29409i 0.267083 + 0.460073i
\(326\) 22.3386i 1.23722i
\(327\) 2.84144 + 21.2501i 0.157132 + 1.17513i
\(328\) −10.1386 + 10.1386i −0.559812 + 0.559812i
\(329\) −0.309040 −0.0170379
\(330\) 0.0148341 + 4.61582i 0.000816592 + 0.254093i
\(331\) 16.3189 0.896970 0.448485 0.893790i \(-0.351964\pi\)
0.448485 + 0.893790i \(0.351964\pi\)
\(332\) 18.3965 18.3965i 1.00964 1.00964i
\(333\) −3.97096 2.27123i −0.217608 0.124463i
\(334\) 1.87590i 0.102645i
\(335\) −0.264531 + 2.02792i −0.0144529 + 0.110797i
\(336\) −5.32397 4.06811i −0.290446 0.221934i
\(337\) 20.5765 + 20.5765i 1.12088 + 1.12088i 0.991610 + 0.129266i \(0.0412621\pi\)
0.129266 + 0.991610i \(0.458738\pi\)
\(338\) −14.2730 14.2730i −0.776346 0.776346i
\(339\) −0.858412 0.655923i −0.0466225 0.0356249i
\(340\) −5.45331 + 41.8056i −0.295747 + 2.26723i
\(341\) 2.67750i 0.144995i
\(342\) 5.63936 + 3.22549i 0.304942 + 0.174414i
\(343\) −13.7048 + 13.7048i −0.739990 + 0.739990i
\(344\) −10.3485 −0.557956
\(345\) 0.107550 + 33.4656i 0.00579032 + 1.80173i
\(346\) −40.0045 −2.15066
\(347\) −16.0239 + 16.0239i −0.860208 + 0.860208i −0.991362 0.131154i \(-0.958132\pi\)
0.131154 + 0.991362i \(0.458132\pi\)
\(348\) −2.13802 15.9895i −0.114610 0.857125i
\(349\) 29.6643i 1.58789i −0.607988 0.793946i \(-0.708023\pi\)
0.607988 0.793946i \(-0.291977\pi\)
\(350\) −5.00843 + 18.8709i −0.267712 + 1.00869i
\(351\) 3.75802 9.23095i 0.200588 0.492712i
\(352\) −2.97021 2.97021i −0.158313 0.158313i
\(353\) −2.59306 2.59306i −0.138014 0.138014i 0.634724 0.772739i \(-0.281114\pi\)
−0.772739 + 0.634724i \(0.781114\pi\)
\(354\) 12.0006 15.7053i 0.637826 0.834727i
\(355\) 1.01082 0.777537i 0.0536487 0.0412674i
\(356\) 39.4317i 2.08987i
\(357\) −21.7010 + 2.90173i −1.14854 + 0.153576i
\(358\) 37.4553 37.4553i 1.97957 1.97957i
\(359\) −25.9667 −1.37047 −0.685235 0.728322i \(-0.740300\pi\)
−0.685235 + 0.728322i \(0.740300\pi\)
\(360\) −1.35955 9.92466i −0.0716545 0.523076i
\(361\) −1.00000 −0.0526316
\(362\) 6.94007 6.94007i 0.364762 0.364762i
\(363\) 18.3645 2.45559i 0.963886 0.128885i
\(364\) 9.30220i 0.487568i
\(365\) 35.0464 + 4.57161i 1.83441 + 0.239289i
\(366\) 5.84476 7.64907i 0.305510 0.399823i
\(367\) 9.54531 + 9.54531i 0.498261 + 0.498261i 0.910896 0.412635i \(-0.135392\pi\)
−0.412635 + 0.910896i \(0.635392\pi\)
\(368\) −13.1080 13.1080i −0.683303 0.683303i
\(369\) 7.56798 + 27.7931i 0.393973 + 1.44685i
\(370\) −4.50197 5.85268i −0.234046 0.304266i
\(371\) 0.835880i 0.0433967i
\(372\) −3.00375 22.4639i −0.155737 1.16470i
\(373\) 1.41704 1.41704i 0.0733713 0.0733713i −0.669469 0.742840i \(-0.733478\pi\)
0.742840 + 0.669469i \(0.233478\pi\)
\(374\) −8.35480 −0.432016
\(375\) 16.7161 9.77604i 0.863217 0.504832i
\(376\) 0.255931 0.0131987
\(377\) 4.69665 4.69665i 0.241890 0.241890i
\(378\) 18.6981 7.87851i 0.961728 0.405227i
\(379\) 36.6560i 1.88289i −0.337160 0.941447i \(-0.609466\pi\)
0.337160 0.941447i \(-0.390534\pi\)
\(380\) 3.66680 + 4.76693i 0.188103 + 0.244538i
\(381\) 7.65346 + 5.84810i 0.392098 + 0.299607i
\(382\) −26.7364 26.7364i −1.36795 1.36795i
\(383\) −7.07466 7.07466i −0.361498 0.361498i 0.502866 0.864364i \(-0.332279\pi\)
−0.864364 + 0.502866i \(0.832279\pi\)
\(384\) 15.4641 + 11.8163i 0.789149 + 0.602999i
\(385\) −2.20038 0.287027i −0.112142 0.0146282i
\(386\) 45.3641i 2.30897i
\(387\) −10.3219 + 18.0466i −0.524694 + 0.917361i
\(388\) −0.246761 + 0.246761i −0.0125274 + 0.0125274i
\(389\) 8.81813 0.447097 0.223549 0.974693i \(-0.428236\pi\)
0.223549 + 0.974693i \(0.428236\pi\)
\(390\) 11.3387 11.4118i 0.574156 0.577858i
\(391\) −60.5739 −3.06335
\(392\) 3.95820 3.95820i 0.199919 0.199919i
\(393\) 3.50112 + 26.1836i 0.176608 + 1.32079i
\(394\) 21.8486i 1.10072i
\(395\) −6.62188 + 5.09365i −0.333183 + 0.256290i
\(396\) 4.28462 1.16669i 0.215310 0.0586283i
\(397\) −17.4305 17.4305i −0.874814 0.874814i 0.118179 0.992992i \(-0.462294\pi\)
−0.992992 + 0.118179i \(0.962294\pi\)
\(398\) 13.7033 + 13.7033i 0.686887 + 0.686887i
\(399\) −1.89625 + 2.48164i −0.0949313 + 0.124237i
\(400\) −2.75166 + 10.3678i −0.137583 + 0.518389i
\(401\) 14.6854i 0.733356i −0.930348 0.366678i \(-0.880495\pi\)
0.930348 0.366678i \(-0.119505\pi\)
\(402\) 3.40024 0.454661i 0.169589 0.0226764i
\(403\) 6.59843 6.59843i 0.328691 0.328691i
\(404\) −12.6008 −0.626913
\(405\) −18.6635 7.52826i −0.927395 0.374082i
\(406\) 13.5220 0.671087
\(407\) 0.593413 0.593413i 0.0294144 0.0294144i
\(408\) 17.9717 2.40307i 0.889732 0.118970i
\(409\) 2.60892i 0.129003i 0.997918 + 0.0645015i \(0.0205457\pi\)
−0.997918 + 0.0645015i \(0.979454\pi\)
\(410\) −6.01396 + 46.1036i −0.297008 + 2.27690i
\(411\) −9.11725 + 11.9318i −0.449721 + 0.588553i
\(412\) −25.8637 25.8637i −1.27421 1.27421i
\(413\) 6.71894 + 6.71894i 0.330617 + 0.330617i
\(414\) 54.1641 14.7487i 2.66202 0.724860i
\(415\) 2.79779 21.4481i 0.137338 1.05285i
\(416\) 14.6396i 0.717764i
\(417\) 0.947256 + 7.08418i 0.0463873 + 0.346914i
\(418\) −0.842734 + 0.842734i −0.0412195 + 0.0412195i
\(419\) −10.0896 −0.492910 −0.246455 0.969154i \(-0.579266\pi\)
−0.246455 + 0.969154i \(0.579266\pi\)
\(420\) 18.7829 0.0603639i 0.916514 0.00294546i
\(421\) 6.69654 0.326369 0.163185 0.986596i \(-0.447823\pi\)
0.163185 + 0.986596i \(0.447823\pi\)
\(422\) −23.4336 + 23.4336i −1.14073 + 1.14073i
\(423\) 0.255274 0.446314i 0.0124118 0.0217005i
\(424\) 0.692235i 0.0336179i
\(425\) 17.5976 + 30.3133i 0.853607 + 1.47041i
\(426\) −1.69975 1.29880i −0.0823532 0.0629272i
\(427\) 3.27238 + 3.27238i 0.158361 + 0.158361i
\(428\) −19.5631 19.5631i −0.945618 0.945618i
\(429\) 1.45280 + 1.11010i 0.0701418 + 0.0535962i
\(430\) −26.5983 + 20.4599i −1.28269 + 0.986662i
\(431\) 11.8203i 0.569363i 0.958622 + 0.284682i \(0.0918879\pi\)
−0.958622 + 0.284682i \(0.908112\pi\)
\(432\) 10.2729 4.32850i 0.494253 0.208255i
\(433\) −14.1774 + 14.1774i −0.681324 + 0.681324i −0.960298 0.278975i \(-0.910005\pi\)
0.278975 + 0.960298i \(0.410005\pi\)
\(434\) 18.9974 0.911903
\(435\) −9.51393 9.45298i −0.456158 0.453236i
\(436\) 33.2914 1.59437
\(437\) −6.10998 + 6.10998i −0.292280 + 0.292280i
\(438\) −7.85740 58.7626i −0.375441 2.80779i
\(439\) 7.66513i 0.365837i −0.983128 0.182918i \(-0.941446\pi\)
0.983128 0.182918i \(-0.0585544\pi\)
\(440\) 1.82224 + 0.237702i 0.0868721 + 0.0113320i
\(441\) −2.95460 10.8506i −0.140695 0.516697i
\(442\) 20.5896 + 20.5896i 0.979346 + 0.979346i
\(443\) −6.75840 6.75840i −0.321101 0.321101i 0.528088 0.849189i \(-0.322909\pi\)
−0.849189 + 0.528088i \(0.822909\pi\)
\(444\) −4.31295 + 5.64439i −0.204684 + 0.267871i
\(445\) −19.9878 25.9847i −0.947513 1.23179i
\(446\) 55.1248i 2.61024i
\(447\) 37.7896 5.05301i 1.78739 0.238999i
\(448\) −15.6034 + 15.6034i −0.737194 + 0.737194i
\(449\) 4.10992 0.193959 0.0969795 0.995286i \(-0.469082\pi\)
0.0969795 + 0.995286i \(0.469082\pi\)
\(450\) −23.1162 22.8209i −1.08971 1.07579i
\(451\) −5.28429 −0.248827
\(452\) −1.18621 + 1.18621i −0.0557948 + 0.0557948i
\(453\) −34.3593 + 4.59433i −1.61434 + 0.215860i
\(454\) 27.0257i 1.26838i
\(455\) 4.71526 + 6.12996i 0.221055 + 0.287377i
\(456\) 1.57038 2.05517i 0.0735398 0.0962421i
\(457\) −27.2039 27.2039i −1.27255 1.27255i −0.944748 0.327798i \(-0.893693\pi\)
−0.327798 0.944748i \(-0.606307\pi\)
\(458\) 20.0990 + 20.0990i 0.939166 + 0.939166i
\(459\) 13.7348 33.7374i 0.641088 1.57473i
\(460\) 51.5299 + 6.72179i 2.40260 + 0.313405i
\(461\) 7.62494i 0.355129i 0.984109 + 0.177564i \(0.0568218\pi\)
−0.984109 + 0.177564i \(0.943178\pi\)
\(462\) 0.493325 + 3.68939i 0.0229515 + 0.171646i
\(463\) 13.1786 13.1786i 0.612462 0.612462i −0.331125 0.943587i \(-0.607428\pi\)
0.943587 + 0.331125i \(0.107428\pi\)
\(464\) 7.42908 0.344887
\(465\) −13.3663 13.2807i −0.619848 0.615877i
\(466\) 19.8644 0.920201
\(467\) −2.79507 + 2.79507i −0.129341 + 0.129341i −0.768814 0.639473i \(-0.779153\pi\)
0.639473 + 0.768814i \(0.279153\pi\)
\(468\) −13.4342 7.68382i −0.620996 0.355185i
\(469\) 1.64918i 0.0761520i
\(470\) 0.657808 0.505996i 0.0303424 0.0233399i
\(471\) 1.94175 + 1.48371i 0.0894709 + 0.0683659i
\(472\) −5.56429 5.56429i −0.256117 0.256117i
\(473\) −2.69685 2.69685i −0.124001 0.124001i
\(474\) 11.1351 + 8.50846i 0.511451 + 0.390807i
\(475\) 4.83269 + 1.28262i 0.221739 + 0.0588506i
\(476\) 33.9978i 1.55829i
\(477\) 1.20717 + 0.690455i 0.0552727 + 0.0316138i
\(478\) 25.9855 25.9855i 1.18855 1.18855i
\(479\) 17.5092 0.800017 0.400009 0.916511i \(-0.369007\pi\)
0.400009 + 0.916511i \(0.369007\pi\)
\(480\) 29.5601 0.0949991i 1.34923 0.00433610i
\(481\) −2.92481 −0.133360
\(482\) −35.5252 + 35.5252i −1.61813 + 1.61813i
\(483\) 3.57670 + 26.7488i 0.162745 + 1.21711i
\(484\) 28.7707i 1.30776i
\(485\) −0.0375280 + 0.287693i −0.00170406 + 0.0130635i
\(486\) −4.06696 + 33.5116i −0.184481 + 1.52012i
\(487\) −14.7923 14.7923i −0.670302 0.670302i 0.287483 0.957786i \(-0.407181\pi\)
−0.957786 + 0.287483i \(0.907181\pi\)
\(488\) −2.71002 2.71002i −0.122677 0.122677i
\(489\) 10.8480 14.1968i 0.490562 0.642002i
\(490\) 2.34790 17.9992i 0.106067 0.813122i
\(491\) 14.1313i 0.637735i −0.947799 0.318868i \(-0.896697\pi\)
0.947799 0.318868i \(-0.103303\pi\)
\(492\) 44.3346 5.92817i 1.99876 0.267263i
\(493\) 17.1654 17.1654i 0.773090 0.773090i
\(494\) 4.15367 0.186882
\(495\) 2.23208 2.94069i 0.100325 0.132174i
\(496\) 10.4373 0.468648
\(497\) 0.727177 0.727177i 0.0326183 0.0326183i
\(498\) −35.9622 + 4.80866i −1.61151 + 0.215481i
\(499\) 2.49646i 0.111757i 0.998438 + 0.0558784i \(0.0177959\pi\)
−0.998438 + 0.0558784i \(0.982204\pi\)
\(500\) −11.6063 27.7402i −0.519051 1.24058i
\(501\) −0.910967 + 1.19219i −0.0406990 + 0.0532631i
\(502\) −25.4608 25.4608i −1.13637 1.13637i
\(503\) −28.0711 28.0711i −1.25163 1.25163i −0.954990 0.296638i \(-0.904135\pi\)
−0.296638 0.954990i \(-0.595865\pi\)
\(504\) −2.12235 7.79423i −0.0945368 0.347183i
\(505\) −8.30367 + 6.38731i −0.369508 + 0.284232i
\(506\) 10.2982i 0.457810i
\(507\) 2.13970 + 16.0020i 0.0950273 + 0.710674i
\(508\) 10.5761 10.5761i 0.469238 0.469238i
\(509\) −11.7884 −0.522513 −0.261256 0.965269i \(-0.584137\pi\)
−0.261256 + 0.965269i \(0.584137\pi\)
\(510\) 41.4407 41.7080i 1.83503 1.84686i
\(511\) 28.5009 1.26081
\(512\) −16.1089 + 16.1089i −0.711921 + 0.711921i
\(513\) −2.01762 4.78844i −0.0890803 0.211415i
\(514\) 20.5224i 0.905202i
\(515\) −30.1539 3.93341i −1.32874 0.173327i
\(516\) 25.6517 + 19.6008i 1.12925 + 0.862878i
\(517\) 0.0666962 + 0.0666962i 0.00293330 + 0.00293330i
\(518\) −4.21038 4.21038i −0.184994 0.184994i
\(519\) 25.4240 + 19.4268i 1.11599 + 0.852742i
\(520\) −3.90495 5.07653i −0.171243 0.222621i
\(521\) 22.8597i 1.00150i 0.865592 + 0.500750i \(0.166942\pi\)
−0.865592 + 0.500750i \(0.833058\pi\)
\(522\) −11.1695 + 19.5285i −0.488876 + 0.854737i
\(523\) −21.6121 + 21.6121i −0.945030 + 0.945030i −0.998566 0.0535361i \(-0.982951\pi\)
0.0535361 + 0.998566i \(0.482951\pi\)
\(524\) 41.0205 1.79199
\(525\) 12.3470 9.56081i 0.538867 0.417268i
\(526\) −24.6066 −1.07290
\(527\) 24.1160 24.1160i 1.05051 1.05051i
\(528\) 0.271035 + 2.02698i 0.0117953 + 0.0882128i
\(529\) 51.6638i 2.24625i
\(530\) 1.36860 + 1.77922i 0.0594482 + 0.0772842i
\(531\) −15.2535 + 4.15347i −0.661943 + 0.180245i
\(532\) 3.42930 + 3.42930i 0.148679 + 0.148679i
\(533\) 13.0226 + 13.0226i 0.564072 + 0.564072i
\(534\) −33.3877 + 43.6948i −1.44483 + 1.89086i
\(535\) −22.8082 2.97520i −0.986083 0.128629i
\(536\) 1.36577i 0.0589922i
\(537\) −41.9927 + 5.61502i −1.81212 + 0.242306i
\(538\) 14.7454 14.7454i 0.635720 0.635720i
\(539\) 2.06303 0.0888608
\(540\) −15.4280 + 27.1761i −0.663913 + 1.16947i
\(541\) 31.7451 1.36483 0.682414 0.730966i \(-0.260930\pi\)
0.682414 + 0.730966i \(0.260930\pi\)
\(542\) 20.5798 20.5798i 0.883979 0.883979i
\(543\) −7.78081 + 1.04040i −0.333906 + 0.0446480i
\(544\) 53.5049i 2.29400i
\(545\) 21.9383 16.8753i 0.939736 0.722859i
\(546\) 7.87640 10.3079i 0.337079 0.441137i
\(547\) 26.0723 + 26.0723i 1.11477 + 1.11477i 0.992496 + 0.122275i \(0.0390189\pi\)
0.122275 + 0.992496i \(0.460981\pi\)
\(548\) 16.4882 + 16.4882i 0.704342 + 0.704342i
\(549\) −7.42901 + 2.02290i −0.317062 + 0.0863351i
\(550\) 5.15358 2.99176i 0.219749 0.127569i
\(551\) 3.46289i 0.147524i
\(552\) −2.96205 22.1521i −0.126073 0.942854i
\(553\) −4.76374 + 4.76374i −0.202575 + 0.202575i
\(554\) −59.8850 −2.54427
\(555\) 0.0189797 + 5.90577i 0.000805644 + 0.250686i
\(556\) 11.0984 0.470677
\(557\) 4.99538 4.99538i 0.211661 0.211661i −0.593312 0.804973i \(-0.702180\pi\)
0.804973 + 0.593312i \(0.202180\pi\)
\(558\) −15.6923 + 27.4359i −0.664306 + 1.16146i
\(559\) 13.2922i 0.562201i
\(560\) −1.11887 + 8.57740i −0.0472810 + 0.362461i
\(561\) 5.30971 + 4.05722i 0.224176 + 0.171296i
\(562\) 26.2107 + 26.2107i 1.10563 + 1.10563i
\(563\) 27.5881 + 27.5881i 1.16270 + 1.16270i 0.983882 + 0.178818i \(0.0572273\pi\)
0.178818 + 0.983882i \(0.442773\pi\)
\(564\) −0.634397 0.484751i −0.0267129 0.0204117i
\(565\) −0.180402 + 1.38298i −0.00758957 + 0.0581824i
\(566\) 32.1320i 1.35061i
\(567\) −15.7091 4.07308i −0.659720 0.171053i
\(568\) −0.602212 + 0.602212i −0.0252682 + 0.0252682i
\(569\) −17.0488 −0.714723 −0.357362 0.933966i \(-0.616324\pi\)
−0.357362 + 0.933966i \(0.616324\pi\)
\(570\) −0.0269540 8.38707i −0.00112898 0.351295i
\(571\) 4.54718 0.190293 0.0951467 0.995463i \(-0.469668\pi\)
0.0951467 + 0.995463i \(0.469668\pi\)
\(572\) 2.00758 2.00758i 0.0839411 0.0839411i
\(573\) 4.00813 + 29.9753i 0.167442 + 1.25224i
\(574\) 37.4931i 1.56493i
\(575\) 37.3644 21.6909i 1.55821 0.904572i
\(576\) −9.64564 35.4232i −0.401902 1.47597i
\(577\) −1.52814 1.52814i −0.0636173 0.0636173i 0.674582 0.738200i \(-0.264324\pi\)
−0.738200 + 0.674582i \(0.764324\pi\)
\(578\) 49.2195 + 49.2195i 2.04726 + 2.04726i
\(579\) 22.0295 28.8302i 0.915515 1.19814i
\(580\) −16.5073 + 12.6977i −0.685429 + 0.527243i
\(581\) 17.4423i 0.723630i
\(582\) 0.482378 0.0645008i 0.0199952 0.00267365i
\(583\) −0.180398 + 0.180398i −0.00747130 + 0.00747130i
\(584\) −23.6031 −0.976702
\(585\) −12.7478 + 1.74628i −0.527056 + 0.0721997i
\(586\) −22.8712 −0.944800
\(587\) −25.3035 + 25.3035i −1.04439 + 1.04439i −0.0454171 + 0.998968i \(0.514462\pi\)
−0.998968 + 0.0454171i \(0.985538\pi\)
\(588\) −17.3086 + 2.31440i −0.713794 + 0.0954444i
\(589\) 4.86508i 0.200462i
\(590\) −25.3027 3.30059i −1.04169 0.135883i
\(591\) −10.6100 + 13.8854i −0.436438 + 0.571170i
\(592\) −2.31321 2.31321i −0.0950723 0.0950723i
\(593\) −18.2339 18.2339i −0.748777 0.748777i 0.225472 0.974250i \(-0.427608\pi\)
−0.974250 + 0.225472i \(0.927608\pi\)
\(594\) −5.73570 2.33506i −0.235339 0.0958089i
\(595\) 17.2334 + 22.4039i 0.706501 + 0.918469i
\(596\) 59.2030i 2.42505i
\(597\) −2.05431 15.3634i −0.0840771 0.628782i
\(598\) 25.3789 25.3789i 1.03782 1.03782i
\(599\) 7.81690 0.319390 0.159695 0.987166i \(-0.448949\pi\)
0.159695 + 0.987166i \(0.448949\pi\)
\(600\) −10.2252 + 7.91779i −0.417441 + 0.323243i
\(601\) −27.0124 −1.10186 −0.550930 0.834551i \(-0.685727\pi\)
−0.550930 + 0.834551i \(0.685727\pi\)
\(602\) −19.1347 + 19.1347i −0.779871 + 0.779871i
\(603\) −2.38174 1.36226i −0.0969918 0.0554754i
\(604\) 53.8288i 2.19026i
\(605\) −14.5838 18.9593i −0.592915 0.770805i
\(606\) 13.9631 + 10.6694i 0.567213 + 0.433415i
\(607\) 4.13637 + 4.13637i 0.167890 + 0.167890i 0.786051 0.618161i \(-0.212122\pi\)
−0.618161 + 0.786051i \(0.712122\pi\)
\(608\) 5.39694 + 5.39694i 0.218875 + 0.218875i
\(609\) −8.59362 6.56650i −0.348231 0.266088i
\(610\) −12.3234 1.60751i −0.498958 0.0650863i
\(611\) 0.328732i 0.0132991i
\(612\) −49.0995 28.0829i −1.98473 1.13519i
\(613\) −28.3063 + 28.3063i −1.14328 + 1.14328i −0.155433 + 0.987846i \(0.549677\pi\)
−0.987846 + 0.155433i \(0.950323\pi\)
\(614\) −29.6792 −1.19776
\(615\) 26.2107 26.3797i 1.05692 1.06373i
\(616\) 1.48191 0.0597080
\(617\) 30.6502 30.6502i 1.23393 1.23393i 0.271491 0.962441i \(-0.412483\pi\)
0.962441 0.271491i \(-0.0875169\pi\)
\(618\) 6.76051 + 50.5594i 0.271947 + 2.03380i
\(619\) 13.9859i 0.562140i −0.959687 0.281070i \(-0.909311\pi\)
0.959687 0.281070i \(-0.0906894\pi\)
\(620\) −23.1915 + 17.8393i −0.931393 + 0.716442i
\(621\) −41.5850 16.9297i −1.66875 0.679364i
\(622\) 26.4175 + 26.4175i 1.05925 + 1.05925i
\(623\) −18.6932 18.6932i −0.748928 0.748928i
\(624\) 4.32734 5.66322i 0.173232 0.226710i
\(625\) −21.7098 12.3970i −0.868391 0.495880i
\(626\) 10.2488i 0.409624i
\(627\) 0.944825 0.126337i 0.0377327 0.00504540i
\(628\) 2.68324 2.68324i 0.107073 0.107073i
\(629\) −10.6896 −0.426224
\(630\) −20.8648 15.8371i −0.831272 0.630965i
\(631\) −17.3383 −0.690228 −0.345114 0.938561i \(-0.612160\pi\)
−0.345114 + 0.938561i \(0.612160\pi\)
\(632\) 3.94509 3.94509i 0.156927 0.156927i
\(633\) 26.2724 3.51299i 1.04423 0.139629i
\(634\) 1.59794i 0.0634622i
\(635\) 1.60843 12.3304i 0.0638287 0.489318i
\(636\) 1.31114 1.71590i 0.0519900 0.0680397i
\(637\) −5.08412 5.08412i −0.201440 0.201440i
\(638\) −2.91829 2.91829i −0.115536 0.115536i
\(639\) 0.449521 + 1.65085i 0.0177828 + 0.0653066i
\(640\) 3.24990 24.9141i 0.128464 0.984815i
\(641\) 40.8470i 1.61336i −0.590989 0.806680i \(-0.701262\pi\)
0.590989 0.806680i \(-0.298738\pi\)
\(642\) 5.11359 + 38.2427i 0.201817 + 1.50932i
\(643\) 17.9358 17.9358i 0.707320 0.707320i −0.258651 0.965971i \(-0.583278\pi\)
0.965971 + 0.258651i \(0.0832779\pi\)
\(644\) 41.9059 1.65133
\(645\) 26.8396 0.0862560i 1.05681 0.00339633i
\(646\) 15.1809 0.597284
\(647\) 18.3836 18.3836i 0.722733 0.722733i −0.246428 0.969161i \(-0.579257\pi\)
0.969161 + 0.246428i \(0.0792570\pi\)
\(648\) 13.0095 + 3.37313i 0.511061 + 0.132509i
\(649\) 2.90013i 0.113840i
\(650\) −20.0734 5.32758i −0.787343 0.208965i
\(651\) −12.0734 9.22541i −0.473192 0.361572i
\(652\) −19.6181 19.6181i −0.768306 0.768306i
\(653\) 10.3567 + 10.3567i 0.405291 + 0.405291i 0.880093 0.474802i \(-0.157480\pi\)
−0.474802 + 0.880093i \(0.657480\pi\)
\(654\) −36.8906 28.1886i −1.44254 1.10226i
\(655\) 27.0317 20.7932i 1.05621 0.812457i
\(656\) 20.5989i 0.804253i
\(657\) −23.5424 + 41.1609i −0.918477 + 1.60584i
\(658\) 0.473223 0.473223i 0.0184482 0.0184482i
\(659\) 10.2028 0.397446 0.198723 0.980056i \(-0.436321\pi\)
0.198723 + 0.980056i \(0.436321\pi\)
\(660\) −4.06672 4.04066i −0.158297 0.157283i
\(661\) −4.27370 −0.166228 −0.0831139 0.996540i \(-0.526487\pi\)
−0.0831139 + 0.996540i \(0.526487\pi\)
\(662\) −24.9887 + 24.9887i −0.971213 + 0.971213i
\(663\) −3.08664 23.0839i −0.119875 0.896502i
\(664\) 14.4449i 0.560570i
\(665\) 3.99814 + 0.521535i 0.155041 + 0.0202243i
\(666\) 9.55849 2.60275i 0.370384 0.100854i
\(667\) −21.1582 21.1582i −0.819248 0.819248i
\(668\) 1.64745 + 1.64745i 0.0637417 + 0.0637417i
\(669\) −26.7694 + 35.0334i −1.03497 + 1.35447i
\(670\) −2.70023 3.51037i −0.104319 0.135617i
\(671\) 1.41247i 0.0545279i
\(672\) 23.6272 3.15929i 0.911439 0.121872i
\(673\) 2.78903 2.78903i 0.107509 0.107509i −0.651306 0.758815i \(-0.725779\pi\)
0.758815 + 0.651306i \(0.225779\pi\)
\(674\) −63.0165 −2.42730
\(675\) 3.60880 + 25.7289i 0.138903 + 0.990306i
\(676\) 25.0695 0.964211
\(677\) −27.1495 + 27.1495i −1.04344 + 1.04344i −0.0444292 + 0.999013i \(0.514147\pi\)
−0.999013 + 0.0444292i \(0.985853\pi\)
\(678\) 2.31885 0.310064i 0.0890551 0.0119079i
\(679\) 0.233962i 0.00897864i
\(680\) −14.2719 18.5538i −0.547301 0.711505i
\(681\) 13.1241 17.1756i 0.502917 0.658171i
\(682\) −4.09997 4.09997i −0.156996 0.156996i
\(683\) −21.9538 21.9538i −0.840040 0.840040i 0.148824 0.988864i \(-0.452451\pi\)
−0.988864 + 0.148824i \(0.952451\pi\)
\(684\) −7.78526 + 2.11990i −0.297677 + 0.0810565i
\(685\) 19.2232 + 2.50756i 0.734482 + 0.0958091i
\(686\) 41.9715i 1.60248i
\(687\) −3.01310 22.5339i −0.114957 0.859721i
\(688\) −10.5127 + 10.5127i −0.400793 + 0.400793i
\(689\) 0.889144 0.0338737
\(690\) −51.4095 51.0802i −1.95713 1.94459i
\(691\) −7.39581 −0.281350 −0.140675 0.990056i \(-0.544927\pi\)
−0.140675 + 0.990056i \(0.544927\pi\)
\(692\) 35.1327 35.1327i 1.33554 1.33554i
\(693\) 1.47810 2.58428i 0.0561485 0.0981686i
\(694\) 49.0738i 1.86282i
\(695\) 7.31362 5.62575i 0.277422 0.213397i
\(696\) 7.11682 + 5.43805i 0.269762 + 0.206129i
\(697\) 47.5952 + 47.5952i 1.80280 + 1.80280i
\(698\) 45.4240 + 45.4240i 1.71932 + 1.71932i
\(699\) −12.6244 9.64645i −0.477498 0.364862i
\(700\) −12.1743 20.9712i −0.460143 0.792638i
\(701\) 13.9630i 0.527376i −0.964608 0.263688i \(-0.915061\pi\)
0.964608 0.263688i \(-0.0849389\pi\)
\(702\) 8.38054 + 19.8896i 0.316303 + 0.750685i
\(703\) −1.07825 + 1.07825i −0.0406668 + 0.0406668i
\(704\) 6.73500 0.253835
\(705\) −0.663774 + 0.00213321i −0.0249992 + 8.03414e-5i
\(706\) 7.94134 0.298876
\(707\) −5.97361 + 5.97361i −0.224661 + 0.224661i
\(708\) 3.25351 + 24.3318i 0.122274 + 0.914445i
\(709\) 5.52708i 0.207574i 0.994600 + 0.103787i \(0.0330960\pi\)
−0.994600 + 0.103787i \(0.966904\pi\)
\(710\) −0.357216 + 2.73845i −0.0134061 + 0.102772i
\(711\) −2.94482 10.8147i −0.110439 0.405584i
\(712\) 15.4808 + 15.4808i 0.580167 + 0.580167i
\(713\) −29.7256 29.7256i −1.11323 1.11323i
\(714\) 28.7868 37.6734i 1.07732 1.40989i
\(715\) 0.305317 2.34059i 0.0114182 0.0875331i
\(716\) 65.7877i 2.45860i
\(717\) −29.1334 + 3.89556i −1.08801 + 0.145482i
\(718\) 39.7620 39.7620i 1.48390 1.48390i
\(719\) −13.9693 −0.520966 −0.260483 0.965478i \(-0.583882\pi\)
−0.260483 + 0.965478i \(0.583882\pi\)
\(720\) −11.4632 8.70099i −0.427209 0.324267i
\(721\) −24.5222 −0.913255
\(722\) 1.53127 1.53127i 0.0569879 0.0569879i
\(723\) 39.8288 5.32568i 1.48125 0.198064i
\(724\) 12.1898i 0.453029i
\(725\) −4.44156 + 16.7351i −0.164956 + 0.621524i
\(726\) −24.3608 + 31.8812i −0.904115 + 1.18322i
\(727\) 2.06141 + 2.06141i 0.0764534 + 0.0764534i 0.744299 0.667846i \(-0.232784\pi\)
−0.667846 + 0.744299i \(0.732784\pi\)
\(728\) −3.65203 3.65203i −0.135353 0.135353i
\(729\) 18.8584 19.3226i 0.698459 0.715650i
\(730\) −60.6658 + 46.6651i −2.24534 + 1.72715i
\(731\) 48.5806i 1.79682i
\(732\) 1.58458 + 11.8505i 0.0585678 + 0.438007i
\(733\) −3.12087 + 3.12087i −0.115272 + 0.115272i −0.762390 0.647118i \(-0.775974\pi\)
0.647118 + 0.762390i \(0.275974\pi\)
\(734\) −29.2329 −1.07901
\(735\) −10.2328 + 10.2988i −0.377444 + 0.379878i
\(736\) 65.9505 2.43097
\(737\) 0.355922 0.355922i 0.0131105 0.0131105i
\(738\) −54.1474 30.9701i −1.99319 1.14003i
\(739\) 24.6734i 0.907626i −0.891097 0.453813i \(-0.850063\pi\)
0.891097 0.453813i \(-0.149937\pi\)
\(740\) 9.09363 + 1.18621i 0.334288 + 0.0436061i
\(741\) −2.63977 2.01708i −0.0969744 0.0740994i
\(742\) 1.27996 + 1.27996i 0.0469887 + 0.0469887i
\(743\) −0.306854 0.306854i −0.0112574 0.0112574i 0.701456 0.712713i \(-0.252534\pi\)
−0.712713 + 0.701456i \(0.752534\pi\)
\(744\) 9.99856 + 7.64003i 0.366565 + 0.280097i
\(745\) −30.0099 39.0136i −1.09948 1.42935i
\(746\) 4.33973i 0.158889i
\(747\) 25.1902 + 14.4078i 0.921660 + 0.527153i
\(748\) 7.33732 7.33732i 0.268279 0.268279i
\(749\) −18.5484 −0.677744
\(750\) −10.6272 + 40.5667i −0.388049 + 1.48128i
\(751\) 15.2040 0.554800 0.277400 0.960754i \(-0.410527\pi\)
0.277400 + 0.960754i \(0.410527\pi\)
\(752\) 0.259992 0.259992i 0.00948092 0.00948092i
\(753\) 3.81689 + 28.5452i 0.139095 + 1.04024i
\(754\) 14.3837i 0.523823i
\(755\) 27.2857 + 35.4721i 0.993029 + 1.29096i
\(756\) −9.50197 + 23.3400i −0.345583 + 0.848869i
\(757\) 24.2100 + 24.2100i 0.879929 + 0.879929i 0.993527 0.113598i \(-0.0362375\pi\)
−0.113598 + 0.993527i \(0.536238\pi\)
\(758\) 56.1303 + 56.1303i 2.03874 + 2.03874i
\(759\) 5.00095 6.54478i 0.181523 0.237560i
\(760\) −3.31106 0.431910i −0.120105 0.0156670i
\(761\) 10.1405i 0.367594i −0.982964 0.183797i \(-0.941161\pi\)
0.982964 0.183797i \(-0.0588390\pi\)
\(762\) −20.6745 + 2.76448i −0.748959 + 0.100146i
\(763\) 15.7823 15.7823i 0.571358 0.571358i
\(764\) 46.9607 1.69898
\(765\) −46.5907 + 6.38232i −1.68449 + 0.230753i
\(766\) 21.6664 0.782840
\(767\) −7.14708 + 7.14708i −0.258066 + 0.258066i
\(768\) 0.244859 0.0327411i 0.00883558 0.00118144i
\(769\) 22.1975i 0.800463i 0.916414 + 0.400232i \(0.131070\pi\)
−0.916414 + 0.400232i \(0.868930\pi\)
\(770\) 3.80889 2.92986i 0.137263 0.105585i
\(771\) 9.96596 13.0425i 0.358915 0.46971