Properties

Label 672.2.cf.a.19.12
Level $672$
Weight $2$
Character 672.19
Analytic conductor $5.366$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [672,2,Mod(19,672)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(672, base_ring=CyclotomicField(24))
 
chi = DirichletCharacter(H, H._module([12, 21, 0, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("672.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 672 = 2^{5} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 672.cf (of order \(24\), degree \(8\), 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: \(5.36594701583\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(64\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 19.12
Character \(\chi\) \(=\) 672.19
Dual form 672.2.cf.a.283.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.20128 + 0.746270i) q^{2} +(-0.991445 + 0.130526i) q^{3} +(0.886163 - 1.79296i) q^{4} +(3.44217 + 0.453170i) q^{5} +(1.09360 - 0.896684i) q^{6} +(0.984703 + 2.45568i) q^{7} +(0.273500 + 2.81517i) q^{8} +(0.965926 - 0.258819i) q^{9} +O(q^{10})\) \(q+(-1.20128 + 0.746270i) q^{2} +(-0.991445 + 0.130526i) q^{3} +(0.886163 - 1.79296i) q^{4} +(3.44217 + 0.453170i) q^{5} +(1.09360 - 0.896684i) q^{6} +(0.984703 + 2.45568i) q^{7} +(0.273500 + 2.81517i) q^{8} +(0.965926 - 0.258819i) q^{9} +(-4.47321 + 2.02440i) q^{10} +(3.46620 + 2.65971i) q^{11} +(-0.644553 + 1.89329i) q^{12} +(-0.414385 + 1.00041i) q^{13} +(-3.01551 - 2.21511i) q^{14} -3.47187 q^{15} +(-2.42943 - 3.17772i) q^{16} +(-1.39153 - 2.41020i) q^{17} +(-0.967202 + 1.03176i) q^{18} +(-0.899854 + 0.690482i) q^{19} +(3.86284 - 5.77010i) q^{20} +(-1.29681 - 2.30614i) q^{21} +(-6.14876 - 0.608345i) q^{22} +(-0.693161 - 2.58691i) q^{23} +(-0.638614 - 2.75539i) q^{24} +(6.81354 + 1.82568i) q^{25} +(-0.248785 - 1.51102i) q^{26} +(-0.923880 + 0.382683i) q^{27} +(5.27555 + 0.410596i) q^{28} +(1.73434 - 4.18707i) q^{29} +(4.17070 - 2.59095i) q^{30} +(4.27165 + 7.39872i) q^{31} +(5.28987 + 2.00433i) q^{32} +(-3.78371 - 2.18453i) q^{33} +(3.47028 + 1.85688i) q^{34} +(2.27668 + 8.89910i) q^{35} +(0.391915 - 1.96122i) q^{36} +(0.0966194 - 0.733897i) q^{37} +(0.565694 - 1.50100i) q^{38} +(0.280260 - 1.04594i) q^{39} +(-0.334318 + 9.81424i) q^{40} +(1.90214 - 1.90214i) q^{41} +(3.27884 + 1.80256i) q^{42} +(-8.53377 + 3.53480i) q^{43} +(7.84039 - 3.85784i) q^{44} +(3.44217 - 0.453170i) q^{45} +(2.76322 + 2.59033i) q^{46} +(-10.4578 - 6.03781i) q^{47} +(2.82342 + 2.83343i) q^{48} +(-5.06072 + 4.83623i) q^{49} +(-9.54744 + 2.89157i) q^{50} +(1.69422 + 2.20795i) q^{51} +(1.42649 + 1.62951i) q^{52} +(2.06073 - 2.68559i) q^{53} +(0.824256 - 1.14917i) q^{54} +(10.7260 + 10.7260i) q^{55} +(-6.64384 + 3.44374i) q^{56} +(0.802030 - 0.802030i) q^{57} +(1.04125 + 6.32414i) q^{58} +(0.820664 + 0.629717i) q^{59} +(-3.07665 + 6.22494i) q^{60} +(3.35737 - 2.57620i) q^{61} +(-10.6529 - 5.70015i) q^{62} +(1.58673 + 2.11714i) q^{63} +(-7.85040 + 1.53990i) q^{64} +(-1.87974 + 3.25581i) q^{65} +(6.17556 - 0.199433i) q^{66} +(1.22504 + 9.30508i) q^{67} +(-5.55452 + 0.359130i) q^{68} +(1.02489 + 2.47431i) q^{69} +(-9.37606 - 8.99133i) q^{70} +(11.3310 + 11.3310i) q^{71} +(0.992801 + 2.64846i) q^{72} +(-3.92277 - 1.05110i) q^{73} +(0.431618 + 0.953723i) q^{74} +(-6.99354 - 0.920718i) q^{75} +(0.440591 + 2.22528i) q^{76} +(-3.11822 + 11.1309i) q^{77} +(0.443885 + 1.46562i) q^{78} +(0.309287 - 0.535700i) q^{79} +(-6.92246 - 12.0392i) q^{80} +(0.866025 - 0.500000i) q^{81} +(-0.865502 + 3.70453i) q^{82} +(2.13400 + 0.883931i) q^{83} +(-5.28401 + 0.281514i) q^{84} +(-3.69765 - 8.92691i) q^{85} +(7.61356 - 10.6148i) q^{86} +(-1.17298 + 4.37762i) q^{87} +(-6.53954 + 10.4854i) q^{88} +(11.9036 - 3.18955i) q^{89} +(-3.79683 + 3.11317i) q^{90} +(-2.86474 - 0.0324855i) q^{91} +(-5.25249 - 1.04961i) q^{92} +(-5.20084 - 6.77786i) q^{93} +(17.0686 - 0.551213i) q^{94} +(-3.41036 + 1.96897i) q^{95} +(-5.50623 - 1.29671i) q^{96} +13.4629i q^{97} +(2.47022 - 9.58634i) q^{98} +(4.03648 + 1.67197i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q + 64 q^{14} + 8 q^{16} - 8 q^{18} - 16 q^{22} - 16 q^{23} - 40 q^{28} + 48 q^{35} + 32 q^{43} + 8 q^{44} + 48 q^{50} - 72 q^{52} + 32 q^{53} + 32 q^{58} - 192 q^{59} - 48 q^{60} + 144 q^{64} - 144 q^{66} - 16 q^{67} - 72 q^{70} + 128 q^{71} + 32 q^{74} + 48 q^{78} - 72 q^{80} - 120 q^{82} + 88 q^{88} - 48 q^{91} + 128 q^{92} - 72 q^{94} - 120 q^{96} - 136 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(421\) \(449\) \(577\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{8}\right)\) \(1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20128 + 0.746270i −0.849436 + 0.527692i
\(3\) −0.991445 + 0.130526i −0.572411 + 0.0753593i
\(4\) 0.886163 1.79296i 0.443082 0.896481i
\(5\) 3.44217 + 0.453170i 1.53938 + 0.202664i 0.851966 0.523597i \(-0.175410\pi\)
0.687419 + 0.726261i \(0.258744\pi\)
\(6\) 1.09360 0.896684i 0.446460 0.366070i
\(7\) 0.984703 + 2.45568i 0.372183 + 0.928159i
\(8\) 0.273500 + 2.81517i 0.0966970 + 0.995314i
\(9\) 0.965926 0.258819i 0.321975 0.0862730i
\(10\) −4.47321 + 2.02440i −1.41455 + 0.640172i
\(11\) 3.46620 + 2.65971i 1.04510 + 0.801934i 0.980607 0.195985i \(-0.0627903\pi\)
0.0644931 + 0.997918i \(0.479457\pi\)
\(12\) −0.644553 + 1.89329i −0.186067 + 0.546546i
\(13\) −0.414385 + 1.00041i −0.114930 + 0.277465i −0.970869 0.239612i \(-0.922980\pi\)
0.855939 + 0.517077i \(0.172980\pi\)
\(14\) −3.01551 2.21511i −0.805928 0.592014i
\(15\) −3.47187 −0.896433
\(16\) −2.42943 3.17772i −0.607357 0.794429i
\(17\) −1.39153 2.41020i −0.337495 0.584559i 0.646466 0.762943i \(-0.276246\pi\)
−0.983961 + 0.178384i \(0.942913\pi\)
\(18\) −0.967202 + 1.03176i −0.227972 + 0.243187i
\(19\) −0.899854 + 0.690482i −0.206441 + 0.158407i −0.706807 0.707406i \(-0.749865\pi\)
0.500367 + 0.865814i \(0.333199\pi\)
\(20\) 3.86284 5.77010i 0.863758 1.29023i
\(21\) −1.29681 2.30614i −0.282987 0.503241i
\(22\) −6.14876 0.608345i −1.31092 0.129700i
\(23\) −0.693161 2.58691i −0.144534 0.539408i −0.999776 0.0211791i \(-0.993258\pi\)
0.855242 0.518229i \(-0.173409\pi\)
\(24\) −0.638614 2.75539i −0.130357 0.562442i
\(25\) 6.81354 + 1.82568i 1.36271 + 0.365136i
\(26\) −0.248785 1.51102i −0.0487907 0.296336i
\(27\) −0.923880 + 0.382683i −0.177801 + 0.0736475i
\(28\) 5.27555 + 0.410596i 0.996985 + 0.0775954i
\(29\) 1.73434 4.18707i 0.322059 0.777519i −0.677075 0.735914i \(-0.736753\pi\)
0.999134 0.0416049i \(-0.0132471\pi\)
\(30\) 4.17070 2.59095i 0.761462 0.473041i
\(31\) 4.27165 + 7.39872i 0.767212 + 1.32885i 0.939069 + 0.343728i \(0.111690\pi\)
−0.171858 + 0.985122i \(0.554977\pi\)
\(32\) 5.28987 + 2.00433i 0.935125 + 0.354318i
\(33\) −3.78371 2.18453i −0.658660 0.380277i
\(34\) 3.47028 + 1.85688i 0.595148 + 0.318452i
\(35\) 2.27668 + 8.89910i 0.384828 + 1.50422i
\(36\) 0.391915 1.96122i 0.0653192 0.326871i
\(37\) 0.0966194 0.733897i 0.0158841 0.120652i −0.981666 0.190610i \(-0.938953\pi\)
0.997550 + 0.0699584i \(0.0222866\pi\)
\(38\) 0.565694 1.50100i 0.0917676 0.243494i
\(39\) 0.280260 1.04594i 0.0448775 0.167485i
\(40\) −0.334318 + 9.81424i −0.0528603 + 1.55177i
\(41\) 1.90214 1.90214i 0.297065 0.297065i −0.542798 0.839863i \(-0.682635\pi\)
0.839863 + 0.542798i \(0.182635\pi\)
\(42\) 3.27884 + 1.80256i 0.505936 + 0.278141i
\(43\) −8.53377 + 3.53480i −1.30139 + 0.539052i −0.922359 0.386333i \(-0.873742\pi\)
−0.379028 + 0.925385i \(0.623742\pi\)
\(44\) 7.84039 3.85784i 1.18198 0.581591i
\(45\) 3.44217 0.453170i 0.513128 0.0675546i
\(46\) 2.76322 + 2.59033i 0.407414 + 0.381923i
\(47\) −10.4578 6.03781i −1.52543 0.880705i −0.999546 0.0301457i \(-0.990403\pi\)
−0.525880 0.850559i \(-0.676264\pi\)
\(48\) 2.82342 + 2.83343i 0.407526 + 0.408970i
\(49\) −5.06072 + 4.83623i −0.722960 + 0.690890i
\(50\) −9.54744 + 2.89157i −1.35021 + 0.408930i
\(51\) 1.69422 + 2.20795i 0.237238 + 0.309175i
\(52\) 1.42649 + 1.62951i 0.197819 + 0.225972i
\(53\) 2.06073 2.68559i 0.283063 0.368895i −0.630083 0.776528i \(-0.716979\pi\)
0.913146 + 0.407633i \(0.133646\pi\)
\(54\) 0.824256 1.14917i 0.112167 0.156383i
\(55\) 10.7260 + 10.7260i 1.44629 + 1.44629i
\(56\) −6.64384 + 3.44374i −0.887821 + 0.460189i
\(57\) 0.802030 0.802030i 0.106231 0.106231i
\(58\) 1.04125 + 6.32414i 0.136722 + 0.830400i
\(59\) 0.820664 + 0.629717i 0.106841 + 0.0819822i 0.660800 0.750562i \(-0.270217\pi\)
−0.553959 + 0.832544i \(0.686884\pi\)
\(60\) −3.07665 + 6.22494i −0.397193 + 0.803636i
\(61\) 3.35737 2.57620i 0.429867 0.329849i −0.371062 0.928608i \(-0.621006\pi\)
0.800929 + 0.598759i \(0.204339\pi\)
\(62\) −10.6529 5.70015i −1.35292 0.723920i
\(63\) 1.58673 + 2.11714i 0.199909 + 0.266735i
\(64\) −7.85040 + 1.53990i −0.981299 + 0.192488i
\(65\) −1.87974 + 3.25581i −0.233153 + 0.403833i
\(66\) 6.17556 0.199433i 0.760159 0.0245486i
\(67\) 1.22504 + 9.30508i 0.149662 + 1.13680i 0.887165 + 0.461453i \(0.152672\pi\)
−0.737503 + 0.675344i \(0.763995\pi\)
\(68\) −5.55452 + 0.359130i −0.673584 + 0.0435509i
\(69\) 1.02489 + 2.47431i 0.123382 + 0.297871i
\(70\) −9.37606 8.99133i −1.12065 1.07467i
\(71\) 11.3310 + 11.3310i 1.34474 + 1.34474i 0.891274 + 0.453465i \(0.149812\pi\)
0.453465 + 0.891274i \(0.350188\pi\)
\(72\) 0.992801 + 2.64846i 0.117003 + 0.312124i
\(73\) −3.92277 1.05110i −0.459126 0.123022i 0.0218406 0.999761i \(-0.493047\pi\)
−0.480966 + 0.876739i \(0.659714\pi\)
\(74\) 0.431618 + 0.953723i 0.0501746 + 0.110868i
\(75\) −6.99354 0.920718i −0.807545 0.106315i
\(76\) 0.440591 + 2.22528i 0.0505393 + 0.255258i
\(77\) −3.11822 + 11.1309i −0.355354 + 1.26849i
\(78\) 0.443885 + 1.46562i 0.0502600 + 0.165949i
\(79\) 0.309287 0.535700i 0.0347975 0.0602710i −0.848102 0.529833i \(-0.822255\pi\)
0.882900 + 0.469562i \(0.155588\pi\)
\(80\) −6.92246 12.0392i −0.773955 1.34602i
\(81\) 0.866025 0.500000i 0.0962250 0.0555556i
\(82\) −0.865502 + 3.70453i −0.0955787 + 0.409097i
\(83\) 2.13400 + 0.883931i 0.234237 + 0.0970241i 0.496714 0.867914i \(-0.334540\pi\)
−0.262478 + 0.964938i \(0.584540\pi\)
\(84\) −5.28401 + 0.281514i −0.576533 + 0.0307157i
\(85\) −3.69765 8.92691i −0.401066 0.968260i
\(86\) 7.61356 10.6148i 0.820991 1.14462i
\(87\) −1.17298 + 4.37762i −0.125757 + 0.469330i
\(88\) −6.53954 + 10.4854i −0.697118 + 1.11775i
\(89\) 11.9036 3.18955i 1.26178 0.338092i 0.434901 0.900478i \(-0.356783\pi\)
0.826874 + 0.562387i \(0.190117\pi\)
\(90\) −3.79683 + 3.11317i −0.400221 + 0.328157i
\(91\) −2.86474 0.0324855i −0.300307 0.00340541i
\(92\) −5.25249 1.04961i −0.547610 0.109430i
\(93\) −5.20084 6.77786i −0.539301 0.702831i
\(94\) 17.0686 0.551213i 1.76049 0.0568533i
\(95\) −3.41036 + 1.96897i −0.349895 + 0.202012i
\(96\) −5.50623 1.29671i −0.561977 0.132345i
\(97\) 13.4629i 1.36695i 0.729973 + 0.683476i \(0.239533\pi\)
−0.729973 + 0.683476i \(0.760467\pi\)
\(98\) 2.47022 9.58634i 0.249530 0.968367i
\(99\) 4.03648 + 1.67197i 0.405682 + 0.168039i
\(100\) 9.31128 10.5986i 0.931128 1.05986i
\(101\) 2.96122 3.85914i 0.294653 0.383999i −0.622444 0.782665i \(-0.713860\pi\)
0.917096 + 0.398666i \(0.130527\pi\)
\(102\) −3.68296 1.38803i −0.364668 0.137435i
\(103\) 2.00594 + 7.48627i 0.197651 + 0.737644i 0.991565 + 0.129613i \(0.0413736\pi\)
−0.793913 + 0.608031i \(0.791960\pi\)
\(104\) −2.92967 0.892952i −0.287278 0.0875612i
\(105\) −3.41876 8.52580i −0.333637 0.832033i
\(106\) −0.471342 + 4.76402i −0.0457808 + 0.462722i
\(107\) 2.39598 18.1993i 0.231628 1.75939i −0.341459 0.939897i \(-0.610921\pi\)
0.573087 0.819494i \(-0.305746\pi\)
\(108\) −0.132571 + 1.99560i −0.0127567 + 0.192027i
\(109\) −1.03512 7.86251i −0.0991465 0.753092i −0.966730 0.255800i \(-0.917661\pi\)
0.867583 0.497292i \(-0.165672\pi\)
\(110\) −20.8894 4.88046i −1.99172 0.465334i
\(111\) 0.740230i 0.0702595i
\(112\) 5.41118 9.09501i 0.511308 0.859397i
\(113\) 18.4272i 1.73349i 0.498756 + 0.866743i \(0.333791\pi\)
−0.498756 + 0.866743i \(0.666209\pi\)
\(114\) −0.364934 + 1.56200i −0.0341792 + 0.146294i
\(115\) −1.21367 9.21871i −0.113175 0.859649i
\(116\) −5.97034 6.82003i −0.554333 0.633224i
\(117\) −0.141339 + 1.07358i −0.0130668 + 0.0992522i
\(118\) −1.45579 0.144033i −0.134016 0.0132593i
\(119\) 4.54843 5.79048i 0.416954 0.530813i
\(120\) −0.949558 9.77392i −0.0866824 0.892233i
\(121\) 2.09350 + 7.81303i 0.190318 + 0.710276i
\(122\) −2.11061 + 5.60025i −0.191086 + 0.507023i
\(123\) −1.63759 + 2.13415i −0.147657 + 0.192430i
\(124\) 17.0510 1.10244i 1.53123 0.0990020i
\(125\) 6.58805 + 2.72886i 0.589253 + 0.244076i
\(126\) −3.48607 1.35916i −0.310564 0.121084i
\(127\) 17.0140i 1.50975i −0.655869 0.754874i \(-0.727698\pi\)
0.655869 0.754874i \(-0.272302\pi\)
\(128\) 8.28137 7.70837i 0.731976 0.681330i
\(129\) 7.99937 4.61844i 0.704306 0.406631i
\(130\) −0.171608 5.31394i −0.0150511 0.466064i
\(131\) −7.76736 10.1226i −0.678638 0.884418i 0.319362 0.947633i \(-0.396531\pi\)
−0.998000 + 0.0632148i \(0.979865\pi\)
\(132\) −7.26976 + 4.84821i −0.632752 + 0.421982i
\(133\) −2.58169 1.52983i −0.223861 0.132653i
\(134\) −8.41572 10.2638i −0.727007 0.886660i
\(135\) −3.35357 + 0.898586i −0.288629 + 0.0773380i
\(136\) 6.40454 4.57659i 0.549185 0.392439i
\(137\) 1.97012 7.35257i 0.168318 0.628173i −0.829275 0.558840i \(-0.811246\pi\)
0.997594 0.0693323i \(-0.0220869\pi\)
\(138\) −3.07768 2.20750i −0.261990 0.187915i
\(139\) −7.18864 17.3549i −0.609733 1.47202i −0.863292 0.504705i \(-0.831601\pi\)
0.253559 0.967320i \(-0.418399\pi\)
\(140\) 17.9733 + 3.80406i 1.51902 + 0.321502i
\(141\) 11.1564 + 4.62114i 0.939539 + 0.389170i
\(142\) −22.0677 5.15575i −1.85188 0.432661i
\(143\) −4.09716 + 2.36550i −0.342622 + 0.197813i
\(144\) −3.16910 2.44065i −0.264092 0.203388i
\(145\) 7.86734 13.6266i 0.653347 1.13163i
\(146\) 5.49677 1.66477i 0.454916 0.137778i
\(147\) 4.38617 5.45541i 0.361765 0.449955i
\(148\) −1.23023 0.823588i −0.101124 0.0676985i
\(149\) −17.8865 2.35480i −1.46532 0.192913i −0.644721 0.764418i \(-0.723027\pi\)
−0.820599 + 0.571505i \(0.806360\pi\)
\(150\) 9.08833 4.11303i 0.742059 0.335827i
\(151\) 5.48712 + 1.47027i 0.446535 + 0.119649i 0.475078 0.879944i \(-0.342420\pi\)
−0.0285425 + 0.999593i \(0.509087\pi\)
\(152\) −2.18994 2.34440i −0.177627 0.190156i
\(153\) −1.96792 1.96792i −0.159097 0.159097i
\(154\) −4.56080 15.6984i −0.367520 1.26501i
\(155\) 11.3509 + 27.4034i 0.911724 + 2.20110i
\(156\) −1.62698 1.42937i −0.130263 0.114441i
\(157\) 0.215281 + 1.63522i 0.0171813 + 0.130505i 0.997886 0.0649907i \(-0.0207018\pi\)
−0.980705 + 0.195496i \(0.937368\pi\)
\(158\) 0.0282359 + 0.874339i 0.00224633 + 0.0695586i
\(159\) −1.69256 + 2.93160i −0.134229 + 0.232491i
\(160\) 17.3003 + 9.29644i 1.36771 + 0.734948i
\(161\) 5.67007 4.24952i 0.446864 0.334909i
\(162\) −0.667207 + 1.24693i −0.0524207 + 0.0979681i
\(163\) 17.4107 13.3597i 1.36371 1.04642i 0.370659 0.928769i \(-0.379132\pi\)
0.993056 0.117646i \(-0.0375348\pi\)
\(164\) −1.72486 5.09608i −0.134689 0.397937i
\(165\) −12.0342 9.23418i −0.936863 0.718880i
\(166\) −3.22319 + 0.530687i −0.250168 + 0.0411893i
\(167\) −11.8889 + 11.8889i −0.919994 + 0.919994i −0.997028 0.0770347i \(-0.975455\pi\)
0.0770347 + 0.997028i \(0.475455\pi\)
\(168\) 6.13751 4.28147i 0.473519 0.330323i
\(169\) 8.36327 + 8.36327i 0.643329 + 0.643329i
\(170\) 11.1038 + 7.96431i 0.851623 + 0.610835i
\(171\) −0.690482 + 0.899854i −0.0528025 + 0.0688135i
\(172\) −1.22454 + 18.4331i −0.0933705 + 1.40551i
\(173\) 3.84198 + 5.00697i 0.292101 + 0.380673i 0.916233 0.400646i \(-0.131214\pi\)
−0.624133 + 0.781319i \(0.714547\pi\)
\(174\) −1.85780 6.13412i −0.140840 0.465027i
\(175\) 2.22603 + 18.5296i 0.168272 + 1.40071i
\(176\) 0.0309090 17.4762i 0.00232985 1.31732i
\(177\) −0.895837 0.517212i −0.0673353 0.0388760i
\(178\) −11.9193 + 12.7148i −0.893388 + 0.953016i
\(179\) 14.2991 1.88251i 1.06876 0.140705i 0.424438 0.905457i \(-0.360472\pi\)
0.644325 + 0.764752i \(0.277139\pi\)
\(180\) 2.23781 6.57326i 0.166796 0.489942i
\(181\) −7.31697 + 3.03079i −0.543866 + 0.225277i −0.637664 0.770315i \(-0.720099\pi\)
0.0937981 + 0.995591i \(0.470099\pi\)
\(182\) 3.46561 2.09885i 0.256888 0.155577i
\(183\) −2.99239 + 2.99239i −0.221204 + 0.221204i
\(184\) 7.09303 2.65889i 0.522905 0.196016i
\(185\) 0.665161 2.48241i 0.0489036 0.182511i
\(186\) 11.3058 + 4.26091i 0.828981 + 0.312425i
\(187\) 1.58711 12.0553i 0.116061 0.881572i
\(188\) −20.0929 + 13.3999i −1.46542 + 0.977291i
\(189\) −1.84950 1.89192i −0.134531 0.137617i
\(190\) 2.62742 4.91034i 0.190613 0.356233i
\(191\) −2.10435 1.21495i −0.152265 0.0879104i 0.421932 0.906628i \(-0.361352\pi\)
−0.574197 + 0.818717i \(0.694686\pi\)
\(192\) 7.58224 2.55141i 0.547201 0.184132i
\(193\) −5.78079 10.0126i −0.416111 0.720725i 0.579434 0.815019i \(-0.303274\pi\)
−0.995544 + 0.0942946i \(0.969940\pi\)
\(194\) −10.0470 16.1728i −0.721330 1.16114i
\(195\) 1.43869 3.47331i 0.103027 0.248729i
\(196\) 4.18656 + 13.3594i 0.299040 + 0.954241i
\(197\) 19.5719 8.10693i 1.39444 0.577595i 0.446135 0.894966i \(-0.352800\pi\)
0.948301 + 0.317371i \(0.102800\pi\)
\(198\) −6.09669 + 1.00380i −0.433273 + 0.0713369i
\(199\) −24.8420 6.65641i −1.76101 0.471860i −0.774087 0.633079i \(-0.781791\pi\)
−0.986919 + 0.161219i \(0.948457\pi\)
\(200\) −3.27610 + 19.6806i −0.231656 + 1.39163i
\(201\) −2.42911 9.06558i −0.171337 0.639437i
\(202\) −0.677308 + 6.84579i −0.0476552 + 0.481668i
\(203\) 11.9899 + 0.135963i 0.841526 + 0.00954270i
\(204\) 5.46012 1.08107i 0.382285 0.0756899i
\(205\) 7.40950 5.68551i 0.517502 0.397093i
\(206\) −7.99648 7.49616i −0.557141 0.522282i
\(207\) −1.33908 2.31936i −0.0930728 0.161207i
\(208\) 4.18575 1.11364i 0.290230 0.0772169i
\(209\) −4.95556 −0.342783
\(210\) 10.4695 + 7.69058i 0.722461 + 0.530701i
\(211\) −0.0216850 + 0.0523522i −0.00149286 + 0.00360407i −0.924624 0.380881i \(-0.875621\pi\)
0.923131 + 0.384485i \(0.125621\pi\)
\(212\) −2.98903 6.07469i −0.205287 0.417211i
\(213\) −12.7130 9.75504i −0.871082 0.668405i
\(214\) 10.7033 + 23.6505i 0.731664 + 1.61672i
\(215\) −30.9765 + 8.30014i −2.11258 + 0.566065i
\(216\) −1.33000 2.49622i −0.0904951 0.169846i
\(217\) −13.9626 + 17.7754i −0.947841 + 1.20667i
\(218\) 7.11103 + 8.67263i 0.481620 + 0.587385i
\(219\) 4.02641 + 0.530087i 0.272079 + 0.0358199i
\(220\) 28.7362 9.72629i 1.93739 0.655747i
\(221\) 2.98783 0.393355i 0.200983 0.0264599i
\(222\) −0.552411 0.889226i −0.0370754 0.0596809i
\(223\) −4.30369 −0.288196 −0.144098 0.989563i \(-0.546028\pi\)
−0.144098 + 0.989563i \(0.546028\pi\)
\(224\) 0.286965 + 14.9639i 0.0191737 + 0.999816i
\(225\) 7.05389 0.470259
\(226\) −13.7517 22.1363i −0.914747 1.47248i
\(227\) −18.5024 + 2.43589i −1.22805 + 0.161675i −0.716504 0.697583i \(-0.754259\pi\)
−0.511542 + 0.859258i \(0.670926\pi\)
\(228\) −0.727280 2.14874i −0.0481653 0.142304i
\(229\) −21.9617 2.89132i −1.45127 0.191064i −0.636694 0.771117i \(-0.719699\pi\)
−0.814579 + 0.580053i \(0.803032\pi\)
\(230\) 8.33760 + 10.1686i 0.549765 + 0.670495i
\(231\) 1.63866 11.4427i 0.107816 0.752874i
\(232\) 12.2617 + 3.73730i 0.805017 + 0.245366i
\(233\) 17.9823 4.81834i 1.17806 0.315660i 0.383903 0.923373i \(-0.374580\pi\)
0.794157 + 0.607713i \(0.207913\pi\)
\(234\) −0.631390 1.39515i −0.0412752 0.0912036i
\(235\) −33.2613 25.5223i −2.16973 1.66489i
\(236\) 1.85630 0.913387i 0.120835 0.0594564i
\(237\) −0.236718 + 0.571487i −0.0153765 + 0.0371221i
\(238\) −1.14270 + 10.3504i −0.0740700 + 0.670915i
\(239\) 1.71196 0.110738 0.0553688 0.998466i \(-0.482367\pi\)
0.0553688 + 0.998466i \(0.482367\pi\)
\(240\) 8.43467 + 11.0326i 0.544455 + 0.712152i
\(241\) 3.82277 + 6.62123i 0.246246 + 0.426511i 0.962481 0.271348i \(-0.0874695\pi\)
−0.716235 + 0.697859i \(0.754136\pi\)
\(242\) −8.34551 7.82335i −0.536470 0.502904i
\(243\) −0.793353 + 0.608761i −0.0508936 + 0.0390521i
\(244\) −1.64385 8.30258i −0.105237 0.531518i
\(245\) −19.6115 + 14.3538i −1.25293 + 0.917028i
\(246\) 0.374559 3.78581i 0.0238810 0.241374i
\(247\) −0.317882 1.18635i −0.0202264 0.0754858i
\(248\) −19.6604 + 14.0490i −1.24844 + 0.892112i
\(249\) −2.23112 0.597826i −0.141391 0.0378857i
\(250\) −9.95057 + 1.63833i −0.629330 + 0.103617i
\(251\) 25.9329 10.7418i 1.63687 0.678014i 0.640893 0.767630i \(-0.278564\pi\)
0.995976 + 0.0896162i \(0.0285640\pi\)
\(252\) 5.20206 0.968807i 0.327699 0.0610291i
\(253\) 4.47780 10.8104i 0.281517 0.679643i
\(254\) 12.6970 + 20.4386i 0.796683 + 1.28243i
\(255\) 4.83121 + 8.36790i 0.302542 + 0.524018i
\(256\) −4.19575 + 15.4401i −0.262234 + 0.965004i
\(257\) −2.03501 1.17491i −0.126941 0.0732892i 0.435185 0.900341i \(-0.356683\pi\)
−0.562126 + 0.827052i \(0.690016\pi\)
\(258\) −6.16291 + 11.5177i −0.383686 + 0.717064i
\(259\) 1.89736 0.485405i 0.117896 0.0301616i
\(260\) 4.17178 + 6.25549i 0.258723 + 0.387949i
\(261\) 0.591551 4.49328i 0.0366161 0.278127i
\(262\) 16.8850 + 6.36359i 1.04316 + 0.393144i
\(263\) −4.46746 + 16.6728i −0.275475 + 1.02809i 0.680047 + 0.733169i \(0.261959\pi\)
−0.955522 + 0.294919i \(0.904707\pi\)
\(264\) 5.11498 11.2493i 0.314805 0.692345i
\(265\) 8.31041 8.31041i 0.510504 0.510504i
\(266\) 4.24301 0.0888765i 0.260156 0.00544937i
\(267\) −11.3854 + 4.71599i −0.696776 + 0.288614i
\(268\) 17.7693 + 6.04938i 1.08543 + 0.369525i
\(269\) −17.5819 + 2.31470i −1.07199 + 0.141130i −0.645801 0.763506i \(-0.723477\pi\)
−0.426186 + 0.904635i \(0.640143\pi\)
\(270\) 3.35800 3.58212i 0.204361 0.218001i
\(271\) −19.9706 11.5300i −1.21312 0.700398i −0.249686 0.968327i \(-0.580327\pi\)
−0.963439 + 0.267929i \(0.913661\pi\)
\(272\) −4.27831 + 10.2773i −0.259410 + 0.623152i
\(273\) 2.84448 0.341716i 0.172155 0.0206816i
\(274\) 3.12033 + 10.3028i 0.188506 + 0.622413i
\(275\) 18.7613 + 24.4502i 1.13135 + 1.47440i
\(276\) 5.34456 + 0.355048i 0.321705 + 0.0213714i
\(277\) −7.85106 + 10.2317i −0.471724 + 0.614763i −0.967249 0.253831i \(-0.918309\pi\)
0.495524 + 0.868594i \(0.334976\pi\)
\(278\) 21.5870 + 15.4835i 1.29470 + 0.928639i
\(279\) 6.04103 + 6.04103i 0.361667 + 0.361667i
\(280\) −24.4298 + 8.84314i −1.45996 + 0.528479i
\(281\) 13.9263 13.9263i 0.830774 0.830774i −0.156849 0.987623i \(-0.550133\pi\)
0.987623 + 0.156849i \(0.0501334\pi\)
\(282\) −16.8506 + 2.77440i −1.00344 + 0.165213i
\(283\) 0.458940 + 0.352157i 0.0272811 + 0.0209335i 0.622312 0.782769i \(-0.286194\pi\)
−0.595031 + 0.803703i \(0.702860\pi\)
\(284\) 30.3571 10.2749i 1.80136 0.609704i
\(285\) 3.12418 2.39727i 0.185060 0.142002i
\(286\) 3.15655 5.89922i 0.186651 0.348828i
\(287\) 6.54410 + 2.79801i 0.386286 + 0.165161i
\(288\) 5.62838 + 0.566913i 0.331655 + 0.0334057i
\(289\) 4.62729 8.01470i 0.272194 0.471453i
\(290\) 0.718238 + 22.2406i 0.0421764 + 1.30601i
\(291\) −1.75726 13.3477i −0.103013 0.782459i
\(292\) −5.36080 + 6.10193i −0.313717 + 0.357089i
\(293\) −10.1132 24.4153i −0.590817 1.42636i −0.882715 0.469909i \(-0.844287\pi\)
0.291898 0.956450i \(-0.405713\pi\)
\(294\) −1.19782 + 9.82676i −0.0698584 + 0.573108i
\(295\) 2.53949 + 2.53949i 0.147855 + 0.147855i
\(296\) 2.09247 + 0.0712792i 0.121623 + 0.00414302i
\(297\) −4.22018 1.13079i −0.244880 0.0656154i
\(298\) 23.2441 10.5194i 1.34649 0.609371i
\(299\) 2.87522 + 0.378530i 0.166278 + 0.0218909i
\(300\) −7.84823 + 11.7233i −0.453118 + 0.676843i
\(301\) −17.0836 17.4755i −0.984680 1.00727i
\(302\) −7.68880 + 2.32866i −0.442441 + 0.133999i
\(303\) −2.43217 + 4.21264i −0.139725 + 0.242010i
\(304\) 4.38029 + 1.18200i 0.251227 + 0.0677924i
\(305\) 12.7241 7.34626i 0.728580 0.420646i
\(306\) 3.83263 + 0.895430i 0.219097 + 0.0511883i
\(307\) −18.5877 7.69930i −1.06086 0.439422i −0.217103 0.976149i \(-0.569661\pi\)
−0.843756 + 0.536727i \(0.819661\pi\)
\(308\) 17.1941 + 15.4547i 0.979723 + 0.880611i
\(309\) −2.96593 7.16040i −0.168726 0.407341i
\(310\) −34.0860 24.4485i −1.93595 1.38858i
\(311\) −7.68010 + 28.6625i −0.435499 + 1.62530i 0.304372 + 0.952553i \(0.401553\pi\)
−0.739870 + 0.672749i \(0.765113\pi\)
\(312\) 3.02116 + 0.502914i 0.171040 + 0.0284719i
\(313\) −6.39675 + 1.71400i −0.361566 + 0.0968812i −0.435028 0.900417i \(-0.643262\pi\)
0.0734628 + 0.997298i \(0.476595\pi\)
\(314\) −1.47893 1.80371i −0.0834608 0.101789i
\(315\) 4.50236 + 8.00662i 0.253679 + 0.451122i
\(316\) −0.686412 1.02926i −0.0386137 0.0579002i
\(317\) −19.2842 25.1317i −1.08311 1.41154i −0.903909 0.427725i \(-0.859315\pi\)
−0.179201 0.983812i \(-0.557351\pi\)
\(318\) −0.154520 4.78479i −0.00866504 0.268317i
\(319\) 17.1480 9.90038i 0.960102 0.554315i
\(320\) −27.7202 + 1.74304i −1.54961 + 0.0974387i
\(321\) 18.3563i 1.02455i
\(322\) −3.64007 + 9.33628i −0.202853 + 0.520291i
\(323\) 2.91637 + 1.20800i 0.162271 + 0.0672150i
\(324\) −0.129041 1.99583i −0.00716896 0.110880i
\(325\) −4.64987 + 6.05982i −0.257928 + 0.336139i
\(326\) −10.9453 + 29.0419i −0.606203 + 1.60848i
\(327\) 2.05253 + 7.66014i 0.113505 + 0.423607i
\(328\) 5.87510 + 4.83463i 0.324398 + 0.266948i
\(329\) 4.52909 31.6264i 0.249697 1.74362i
\(330\) 21.3477 + 2.11210i 1.17515 + 0.116267i
\(331\) 2.82047 21.4236i 0.155027 1.17755i −0.720177 0.693791i \(-0.755939\pi\)
0.875203 0.483755i \(-0.160727\pi\)
\(332\) 3.47593 3.04287i 0.190766 0.166999i
\(333\) −0.0966194 0.733897i −0.00529471 0.0402173i
\(334\) 5.40963 23.1543i 0.296002 1.26695i
\(335\) 32.5848i 1.78030i
\(336\) −4.17775 + 9.72350i −0.227915 + 0.530460i
\(337\) 13.7414i 0.748543i 0.927319 + 0.374271i \(0.122107\pi\)
−0.927319 + 0.374271i \(0.877893\pi\)
\(338\) −16.2879 3.80540i −0.885946 0.206987i
\(339\) −2.40523 18.2696i −0.130634 0.992266i
\(340\) −19.2823 1.28096i −1.04573 0.0694697i
\(341\) −4.87204 + 37.0068i −0.263836 + 2.00403i
\(342\) 0.157931 1.59627i 0.00853994 0.0863161i
\(343\) −16.8595 7.66525i −0.910329 0.413884i
\(344\) −12.2851 23.0573i −0.662366 1.24316i
\(345\) 2.40657 + 8.98143i 0.129565 + 0.483544i
\(346\) −8.35186 3.14763i −0.448999 0.169218i
\(347\) 1.36600 1.78021i 0.0733308 0.0955666i −0.755248 0.655440i \(-0.772483\pi\)
0.828578 + 0.559873i \(0.189150\pi\)
\(348\) 6.80946 + 5.98240i 0.365025 + 0.320690i
\(349\) 10.8615 + 4.49897i 0.581401 + 0.240824i 0.653946 0.756541i \(-0.273112\pi\)
−0.0725454 + 0.997365i \(0.523112\pi\)
\(350\) −16.5022 20.5981i −0.882078 1.10101i
\(351\) 1.08284i 0.0577978i
\(352\) 13.0048 + 21.0169i 0.693159 + 1.12021i
\(353\) 6.26463 3.61688i 0.333432 0.192507i −0.323932 0.946081i \(-0.605005\pi\)
0.657364 + 0.753573i \(0.271671\pi\)
\(354\) 1.46213 0.0472181i 0.0777116 0.00250962i
\(355\) 33.8683 + 44.1380i 1.79754 + 2.34260i
\(356\) 4.82976 24.1691i 0.255977 1.28096i
\(357\) −3.75371 + 6.33463i −0.198667 + 0.335264i
\(358\) −15.7724 + 12.9324i −0.833596 + 0.683498i
\(359\) 2.06222 0.552569i 0.108840 0.0291635i −0.203988 0.978973i \(-0.565390\pi\)
0.312828 + 0.949810i \(0.398724\pi\)
\(360\) 2.21719 + 9.56636i 0.116856 + 0.504191i
\(361\) −4.58459 + 17.1099i −0.241294 + 0.900522i
\(362\) 6.52797 9.10127i 0.343102 0.478352i
\(363\) −3.09539 7.47294i −0.162466 0.392227i
\(364\) −2.59688 + 5.10759i −0.136113 + 0.267710i
\(365\) −13.0265 5.39576i −0.681839 0.282427i
\(366\) 1.36158 5.82783i 0.0711708 0.304626i
\(367\) 21.4769 12.3997i 1.12109 0.647260i 0.179409 0.983775i \(-0.442582\pi\)
0.941678 + 0.336515i \(0.109248\pi\)
\(368\) −6.53648 + 8.48739i −0.340738 + 0.442436i
\(369\) 1.34502 2.32964i 0.0700189 0.121276i
\(370\) 1.05350 + 3.47847i 0.0547690 + 0.180837i
\(371\) 8.62417 + 2.41597i 0.447744 + 0.125431i
\(372\) −16.7612 + 3.31861i −0.869030 + 0.172062i
\(373\) 25.0225 + 3.29427i 1.29562 + 0.170571i 0.746618 0.665253i \(-0.231676\pi\)
0.548998 + 0.835824i \(0.315010\pi\)
\(374\) 7.08994 + 15.6663i 0.366612 + 0.810083i
\(375\) −6.88787 1.84560i −0.355688 0.0953064i
\(376\) 14.1373 31.0918i 0.729074 1.60344i
\(377\) 3.47012 + 3.47012i 0.178720 + 0.178720i
\(378\) 3.63365 + 0.892512i 0.186895 + 0.0459059i
\(379\) −10.8821 26.2718i −0.558978 1.34949i −0.910576 0.413342i \(-0.864362\pi\)
0.351598 0.936151i \(-0.385638\pi\)
\(380\) 0.508157 + 7.85947i 0.0260679 + 0.403182i
\(381\) 2.22077 + 16.8684i 0.113774 + 0.864197i
\(382\) 3.43460 0.110917i 0.175729 0.00567500i
\(383\) 13.5424 23.4562i 0.691985 1.19855i −0.279201 0.960233i \(-0.590070\pi\)
0.971186 0.238321i \(-0.0765970\pi\)
\(384\) −7.20437 + 8.72336i −0.367647 + 0.445162i
\(385\) −15.7776 + 36.9014i −0.804102 + 1.88067i
\(386\) 14.4165 + 7.71397i 0.733780 + 0.392631i
\(387\) −7.32811 + 5.62306i −0.372509 + 0.285836i
\(388\) 24.1385 + 11.9303i 1.22545 + 0.605672i
\(389\) −2.28256 1.75147i −0.115730 0.0888031i 0.549275 0.835642i \(-0.314904\pi\)
−0.665005 + 0.746839i \(0.731571\pi\)
\(390\) 0.863749 + 5.24608i 0.0437376 + 0.265646i
\(391\) −5.27042 + 5.27042i −0.266537 + 0.266537i
\(392\) −14.9989 12.9241i −0.757561 0.652765i
\(393\) 9.02218 + 9.02218i 0.455109 + 0.455109i
\(394\) −17.4614 + 24.3446i −0.879692 + 1.22646i
\(395\) 1.30738 1.70381i 0.0657814 0.0857280i
\(396\) 6.57475 5.75563i 0.330394 0.289231i
\(397\) 9.84557 + 12.8310i 0.494135 + 0.643969i 0.972144 0.234386i \(-0.0753079\pi\)
−0.478009 + 0.878355i \(0.658641\pi\)
\(398\) 34.8098 10.5426i 1.74486 0.528454i
\(399\) 2.75929 + 1.17977i 0.138137 + 0.0590622i
\(400\) −10.7515 26.0868i −0.537575 1.30434i
\(401\) 9.90262 + 5.71728i 0.494513 + 0.285507i 0.726445 0.687225i \(-0.241171\pi\)
−0.231932 + 0.972732i \(0.574505\pi\)
\(402\) 9.68342 + 9.07755i 0.482965 + 0.452747i
\(403\) −9.17190 + 1.20750i −0.456885 + 0.0601500i
\(404\) −4.29517 8.72919i −0.213693 0.434294i
\(405\) 3.20759 1.32863i 0.159386 0.0660200i
\(406\) −14.5047 + 8.78437i −0.719858 + 0.435961i
\(407\) 2.28686 2.28686i 0.113355 0.113355i
\(408\) −5.75239 + 5.37339i −0.284786 + 0.266023i
\(409\) −8.18599 + 30.5505i −0.404771 + 1.51063i 0.399706 + 0.916644i \(0.369112\pi\)
−0.804477 + 0.593984i \(0.797554\pi\)
\(410\) −4.65798 + 12.3594i −0.230041 + 0.610387i
\(411\) −0.993558 + 7.54682i −0.0490086 + 0.372257i
\(412\) 15.2002 + 3.03748i 0.748860 + 0.149646i
\(413\) −0.738273 + 2.63537i −0.0363281 + 0.129678i
\(414\) 3.33949 + 1.78689i 0.164127 + 0.0878210i
\(415\) 6.94501 + 4.00971i 0.340917 + 0.196829i
\(416\) −4.19720 + 4.46149i −0.205785 + 0.218743i
\(417\) 9.39241 + 16.2681i 0.459948 + 0.796654i
\(418\) 5.95303 3.69819i 0.291172 0.180884i
\(419\) 4.94006 11.9264i 0.241338 0.582641i −0.756078 0.654481i \(-0.772887\pi\)
0.997416 + 0.0718399i \(0.0228871\pi\)
\(420\) −18.3160 1.42554i −0.893731 0.0695591i
\(421\) −16.2802 + 6.74346i −0.793446 + 0.328656i −0.742328 0.670037i \(-0.766278\pi\)
−0.0511179 + 0.998693i \(0.516278\pi\)
\(422\) −0.0130190 0.0790726i −0.000633757 0.00384920i
\(423\) −11.6641 3.12540i −0.567130 0.151962i
\(424\) 8.12402 + 5.06680i 0.394537 + 0.246065i
\(425\) −5.08098 18.9625i −0.246464 0.919815i
\(426\) 22.5518 + 2.23123i 1.09264 + 0.108103i
\(427\) 9.63234 + 5.70783i 0.466142 + 0.276221i
\(428\) −30.5074 20.4234i −1.47463 0.987204i
\(429\) 3.75335 2.88005i 0.181213 0.139050i
\(430\) 31.0175 33.0877i 1.49579 1.59563i
\(431\) −0.449029 0.777742i −0.0216290 0.0374625i 0.855008 0.518614i \(-0.173552\pi\)
−0.876637 + 0.481152i \(0.840219\pi\)
\(432\) 3.46056 + 2.00612i 0.166496 + 0.0965197i
\(433\) −7.39852 −0.355550 −0.177775 0.984071i \(-0.556890\pi\)
−0.177775 + 0.984071i \(0.556890\pi\)
\(434\) 3.50780 31.7731i 0.168380 1.52516i
\(435\) −6.02140 + 14.5370i −0.288704 + 0.696994i
\(436\) −15.0145 5.11154i −0.719063 0.244798i
\(437\) 2.40996 + 1.84923i 0.115284 + 0.0884606i
\(438\) −5.23244 + 2.36800i −0.250016 + 0.113147i
\(439\) −0.827120 + 0.221626i −0.0394763 + 0.0105776i −0.278503 0.960435i \(-0.589838\pi\)
0.239027 + 0.971013i \(0.423172\pi\)
\(440\) −27.2619 + 33.1290i −1.29966 + 1.57936i
\(441\) −3.63657 + 5.98125i −0.173170 + 0.284821i
\(442\) −3.29568 + 2.70226i −0.156759 + 0.128533i
\(443\) −10.2303 1.34685i −0.486058 0.0639908i −0.116485 0.993192i \(-0.537163\pi\)
−0.369573 + 0.929202i \(0.620496\pi\)
\(444\) 1.32720 + 0.655965i 0.0629864 + 0.0311307i
\(445\) 42.4195 5.58463i 2.01088 0.264737i
\(446\) 5.16995 3.21171i 0.244804 0.152079i
\(447\) 18.0409 0.853303
\(448\) −11.5118 17.7617i −0.543882 0.839162i
\(449\) 26.2036 1.23662 0.618312 0.785933i \(-0.287817\pi\)
0.618312 + 0.785933i \(0.287817\pi\)
\(450\) −8.47372 + 5.26411i −0.399455 + 0.248152i
\(451\) 11.6524 1.53406i 0.548689 0.0722363i
\(452\) 33.0393 + 16.3295i 1.55404 + 0.768076i
\(453\) −5.63208 0.741478i −0.264618 0.0348377i
\(454\) 20.4088 16.7340i 0.957832 0.785364i
\(455\) −9.84621 1.41004i −0.461597 0.0661035i
\(456\) 2.47721 + 2.03850i 0.116006 + 0.0954613i
\(457\) 34.5257 9.25113i 1.61504 0.432750i 0.665504 0.746395i \(-0.268217\pi\)
0.949540 + 0.313645i \(0.101550\pi\)
\(458\) 28.5400 12.9161i 1.33359 0.603529i
\(459\) 2.20795 + 1.69422i 0.103058 + 0.0790794i
\(460\) −17.6043 5.99322i −0.820805 0.279436i
\(461\) 1.79504 4.33362i 0.0836036 0.201837i −0.876549 0.481312i \(-0.840160\pi\)
0.960153 + 0.279475i \(0.0901604\pi\)
\(462\) 6.57084 + 14.9688i 0.305703 + 0.696412i
\(463\) 7.43586 0.345574 0.172787 0.984959i \(-0.444723\pi\)
0.172787 + 0.984959i \(0.444723\pi\)
\(464\) −17.5188 + 4.66094i −0.813288 + 0.216379i
\(465\) −14.8306 25.6874i −0.687754 1.19122i
\(466\) −18.0061 + 19.2078i −0.834114 + 0.889786i
\(467\) −11.4664 + 8.79846i −0.530601 + 0.407144i −0.839015 0.544108i \(-0.816868\pi\)
0.308415 + 0.951252i \(0.400202\pi\)
\(468\) 1.79963 + 1.20478i 0.0831881 + 0.0556910i
\(469\) −21.6440 + 12.1710i −0.999427 + 0.562007i
\(470\) 59.0028 + 5.83761i 2.72160 + 0.269269i
\(471\) −0.426879 1.59313i −0.0196695 0.0734077i
\(472\) −1.54831 + 2.48254i −0.0712668 + 0.114268i
\(473\) −38.9813 10.4450i −1.79236 0.480262i
\(474\) −0.142118 0.863173i −0.00652771 0.0396468i
\(475\) −7.39179 + 3.06178i −0.339159 + 0.140484i
\(476\) −6.35146 13.2865i −0.291119 0.608985i
\(477\) 1.29543 3.12744i 0.0593136 0.143196i
\(478\) −2.05655 + 1.27758i −0.0940644 + 0.0584354i
\(479\) −16.0014 27.7152i −0.731122 1.26634i −0.956404 0.292048i \(-0.905663\pi\)
0.225281 0.974294i \(-0.427670\pi\)
\(480\) −18.3657 6.95877i −0.838277 0.317623i
\(481\) 0.694164 + 0.400776i 0.0316511 + 0.0182738i
\(482\) −9.53345 5.10115i −0.434237 0.232351i
\(483\) −5.06689 + 4.95326i −0.230551 + 0.225381i
\(484\) 15.8637 + 3.17006i 0.721075 + 0.144094i
\(485\) −6.10099 + 46.3416i −0.277032 + 2.10427i
\(486\) 0.498742 1.32335i 0.0226234 0.0600284i
\(487\) 8.19226 30.5739i 0.371227 1.38544i −0.487554 0.873093i \(-0.662111\pi\)
0.858780 0.512344i \(-0.171223\pi\)
\(488\) 8.17070 + 8.74699i 0.369870 + 0.395958i
\(489\) −15.5180 + 15.5180i −0.701748 + 0.701748i
\(490\) 12.8472 31.8784i 0.580376 1.44012i
\(491\) −23.3938 + 9.69002i −1.05575 + 0.437305i −0.841940 0.539571i \(-0.818586\pi\)
−0.213807 + 0.976876i \(0.568586\pi\)
\(492\) 2.37528 + 4.82735i 0.107086 + 0.217634i
\(493\) −12.5050 + 1.64632i −0.563199 + 0.0741466i
\(494\) 1.26721 + 1.18792i 0.0570143 + 0.0534470i
\(495\) 13.1366 + 7.58440i 0.590445 + 0.340893i
\(496\) 13.1333 31.5488i 0.589705 1.41658i
\(497\) −16.6676 + 38.9829i −0.747643 + 1.74862i
\(498\) 3.12634 0.946857i 0.140095 0.0424297i
\(499\) 1.51968 + 1.98048i 0.0680301 + 0.0886585i 0.826129 0.563481i \(-0.190538\pi\)
−0.758099 + 0.652140i \(0.773872\pi\)
\(500\) 10.7308 9.39391i 0.479897 0.420108i
\(501\) 10.2354 13.3390i 0.457284 0.595945i
\(502\) −23.1365 + 32.2568i −1.03263 + 1.43969i
\(503\) −3.71328 3.71328i −0.165567 0.165567i 0.619461 0.785028i \(-0.287351\pi\)
−0.785028 + 0.619461i \(0.787351\pi\)
\(504\) −5.52615 + 5.04595i −0.246155 + 0.224764i
\(505\) 11.9419 11.9419i 0.531407 0.531407i
\(506\) 2.68834 + 16.3280i 0.119511 + 0.725867i
\(507\) −9.38335 7.20010i −0.416729 0.319768i
\(508\) −30.5055 15.0772i −1.35346 0.668942i
\(509\) 32.8301 25.1914i 1.45517 1.11659i 0.484896 0.874572i \(-0.338857\pi\)
0.970272 0.242018i \(-0.0778092\pi\)
\(510\) −12.0484 6.44684i −0.533511 0.285471i
\(511\) −1.28159 10.6681i −0.0566944 0.471929i
\(512\) −6.48217 21.6791i −0.286474 0.958088i
\(513\) 0.567121 0.982282i 0.0250390 0.0433688i
\(514\) 3.32143 0.107262i 0.146502 0.00473113i
\(515\) 3.51223 + 26.6780i 0.154767 + 1.17558i
\(516\) −1.19194 18.4353i −0.0524722 0.811568i
\(517\) −20.1900 48.7430i −0.887955 2.14371i
\(518\) −1.91702 + 1.99905i −0.0842291 + 0.0878332i
\(519\) −4.46266 4.46266i −0.195889 0.195889i
\(520\) −9.67977 4.40133i −0.424486 0.193011i
\(521\) −3.10917 0.833100i −0.136215 0.0364988i 0.190067 0.981771i \(-0.439129\pi\)
−0.326283 + 0.945272i \(0.605796\pi\)
\(522\) 2.64257 + 5.83915i 0.115662 + 0.255573i
\(523\) 36.7014 + 4.83183i 1.60484 + 0.211281i 0.879082 0.476671i \(-0.158157\pi\)
0.725756 + 0.687952i \(0.241490\pi\)
\(524\) −25.0326 + 4.95629i −1.09356 + 0.216517i
\(525\) −4.62558 18.0805i −0.201877 0.789099i
\(526\) −7.07571 23.3627i −0.308516 1.01866i
\(527\) 11.8883 20.5911i 0.517861 0.896961i
\(528\) 2.25046 + 17.3307i 0.0979386 + 0.754223i
\(529\) 13.7069 7.91371i 0.595954 0.344074i
\(530\) −3.78135 + 16.1850i −0.164251 + 0.703030i
\(531\) 0.955683 + 0.395857i 0.0414731 + 0.0171787i
\(532\) −5.03073 + 3.27320i −0.218110 + 0.141911i
\(533\) 1.11471 + 2.69115i 0.0482835 + 0.116567i
\(534\) 10.1577 14.1618i 0.439567 0.612842i
\(535\) 16.4947 61.5592i 0.713130 2.66144i
\(536\) −25.8604 + 5.99364i −1.11700 + 0.258886i
\(537\) −13.9310 + 3.73281i −0.601168 + 0.161082i
\(538\) 19.3935 15.9015i 0.836111 0.685560i
\(539\) −30.4045 + 3.30331i −1.30961 + 0.142284i
\(540\) −1.36068 + 6.80912i −0.0585543 + 0.293018i
\(541\) 13.6742 + 17.8205i 0.587899 + 0.766165i 0.988685 0.150007i \(-0.0479295\pi\)
−0.400786 + 0.916172i \(0.631263\pi\)
\(542\) 32.5948 1.05262i 1.40007 0.0452137i
\(543\) 6.85877 3.95991i 0.294338 0.169936i
\(544\) −2.53018 15.5387i −0.108480 0.666217i
\(545\) 27.5332i 1.17939i
\(546\) −3.16201 + 2.53324i −0.135321 + 0.108413i
\(547\) −11.8708 4.91706i −0.507560 0.210238i 0.114183 0.993460i \(-0.463575\pi\)
−0.621743 + 0.783222i \(0.713575\pi\)
\(548\) −11.4370 10.0479i −0.488566 0.429226i
\(549\) 2.57620 3.35737i 0.109950 0.143289i
\(550\) −40.7841 15.3707i −1.73904 0.655407i
\(551\) 1.33044 + 4.96528i 0.0566787 + 0.211528i
\(552\) −6.68529 + 3.56197i −0.284545 + 0.151607i
\(553\) 1.62006 + 0.232003i 0.0688921 + 0.00986576i
\(554\) 1.79574 18.1502i 0.0762937 0.771127i
\(555\) −0.335450 + 2.54800i −0.0142391 + 0.108156i
\(556\) −37.4870 2.49032i −1.58980 0.105613i
\(557\) 0.407775 + 3.09736i 0.0172780 + 0.131239i 0.997910 0.0646204i \(-0.0205837\pi\)
−0.980632 + 0.195860i \(0.937250\pi\)
\(558\) −11.7652 2.74875i −0.498062 0.116364i
\(559\) 10.0021i 0.423043i
\(560\) 22.7478 28.8544i 0.961269 1.21932i
\(561\) 12.1593i 0.513368i
\(562\) −6.33666 + 27.1222i −0.267296 + 1.14408i
\(563\) −1.17294 8.90938i −0.0494336 0.375486i −0.998224 0.0595783i \(-0.981024\pi\)
0.948790 0.315907i \(-0.102309\pi\)
\(564\) 18.1719 15.9079i 0.765176 0.669845i
\(565\) −8.35066 + 63.4296i −0.351315 + 2.66850i
\(566\) −0.814120 0.0805473i −0.0342200 0.00338566i
\(567\) 2.08062 + 1.63433i 0.0873777 + 0.0686353i
\(568\) −28.7996 + 34.9977i −1.20841 + 1.46847i
\(569\) −3.48682 13.0130i −0.146175 0.545533i −0.999700 0.0244814i \(-0.992207\pi\)
0.853525 0.521052i \(-0.174460\pi\)
\(570\) −1.96402 + 5.21127i −0.0822636 + 0.218276i
\(571\) 13.3944 17.4560i 0.560540 0.730510i −0.424002 0.905661i \(-0.639375\pi\)
0.984541 + 0.175152i \(0.0560416\pi\)
\(572\) 0.610494 + 9.44227i 0.0255260 + 0.394801i
\(573\) 2.24493 + 0.929879i 0.0937832 + 0.0388463i
\(574\) −9.94939 + 1.52247i −0.415280 + 0.0635465i
\(575\) 18.8915i 0.787831i
\(576\) −7.18434 + 3.51926i −0.299348 + 0.146636i
\(577\) −16.6000 + 9.58403i −0.691068 + 0.398988i −0.804012 0.594613i \(-0.797305\pi\)
0.112944 + 0.993601i \(0.463972\pi\)
\(578\) 0.422442 + 13.0811i 0.0175713 + 0.544104i
\(579\) 7.03825 + 9.17242i 0.292500 + 0.381193i
\(580\) −17.4603 26.1813i −0.725000 1.08712i
\(581\) −0.0692953 + 6.11083i −0.00287485 + 0.253520i
\(582\) 12.0720 + 14.7230i 0.500400 + 0.610289i
\(583\) 14.2858 3.82787i 0.591658 0.158534i
\(584\) 1.88616 11.3308i 0.0780498 0.468870i
\(585\) −0.973026 + 3.63138i −0.0402297 + 0.150139i
\(586\) 30.3692 + 21.7826i 1.25454 + 0.899830i
\(587\) 1.52957 + 3.69271i 0.0631322 + 0.152415i 0.952297 0.305172i \(-0.0987140\pi\)
−0.889165 + 0.457587i \(0.848714\pi\)
\(588\) −5.89449 12.6986i −0.243085 0.523682i
\(589\) −8.95255 3.70827i −0.368883 0.152796i
\(590\) −4.94580 1.15550i −0.203615 0.0475714i
\(591\) −18.3462 + 10.5922i −0.754664 + 0.435705i
\(592\) −2.56685 + 1.47592i −0.105497 + 0.0606600i
\(593\) 11.1034 19.2317i 0.455963 0.789751i −0.542780 0.839875i \(-0.682628\pi\)
0.998743 + 0.0501239i \(0.0159616\pi\)
\(594\) 5.91351 1.79099i 0.242634 0.0734852i
\(595\) 18.2805 17.8706i 0.749429 0.732623i
\(596\) −20.0724 + 29.9831i −0.822200 + 1.22816i
\(597\) 25.4984 + 3.35692i 1.04358 + 0.137390i
\(598\) −3.73644 + 1.69097i −0.152794 + 0.0691488i
\(599\) −0.245321 0.0657335i −0.0100235 0.00268580i 0.253804 0.967256i \(-0.418318\pi\)
−0.263827 + 0.964570i \(0.584985\pi\)
\(600\) 0.679242 19.9399i 0.0277300 0.814041i
\(601\) −21.9970 21.9970i −0.897275 0.897275i 0.0979198 0.995194i \(-0.468781\pi\)
−0.995194 + 0.0979198i \(0.968781\pi\)
\(602\) 33.5636 + 8.24403i 1.36795 + 0.336002i
\(603\) 3.59163 + 8.67096i 0.146262 + 0.353109i
\(604\) 7.49862 8.53530i 0.305114 0.347296i
\(605\) 3.66553 + 27.8425i 0.149025 + 1.13196i
\(606\) −0.222042 6.87563i −0.00901982 0.279304i
\(607\) −16.1865 + 28.0359i −0.656991 + 1.13794i 0.324400 + 0.945920i \(0.394838\pi\)
−0.981391 + 0.192021i \(0.938496\pi\)
\(608\) −6.14406 + 1.84896i −0.249174 + 0.0749851i
\(609\) −11.9051 + 1.43020i −0.482418 + 0.0579545i
\(610\) −9.80296 + 18.3206i −0.396910 + 0.741777i
\(611\) 10.3739 7.96014i 0.419682 0.322033i
\(612\) −5.27230 + 1.78451i −0.213120 + 0.0721345i
\(613\) 1.29700 + 0.995226i 0.0523855 + 0.0401968i 0.634622 0.772822i \(-0.281156\pi\)
−0.582237 + 0.813019i \(0.697822\pi\)
\(614\) 28.0749 4.62243i 1.13301 0.186546i
\(615\) −6.60400 + 6.60400i −0.266299 + 0.266299i
\(616\) −32.1883 5.73401i −1.29690 0.231030i
\(617\) 2.49943 + 2.49943i 0.100623 + 0.100623i 0.755626 0.655003i \(-0.227333\pi\)
−0.655003 + 0.755626i \(0.727333\pi\)
\(618\) 8.90651 + 6.38828i 0.358273 + 0.256974i
\(619\) −0.750294 + 0.977802i −0.0301569 + 0.0393012i −0.808188 0.588924i \(-0.799552\pi\)
0.778032 + 0.628225i \(0.216218\pi\)
\(620\) 59.1921 + 3.93222i 2.37721 + 0.157922i
\(621\) 1.63037 + 2.12473i 0.0654243 + 0.0852626i
\(622\) −12.1640 40.1632i −0.487732 1.61040i
\(623\) 19.5540 + 26.0906i 0.783414 + 1.04530i
\(624\) −4.00458 + 1.65046i −0.160312 + 0.0660713i
\(625\) −9.10372 5.25603i −0.364149 0.210241i
\(626\) 6.40520 6.83270i 0.256003 0.273090i
\(627\) 4.91317 0.646831i 0.196213 0.0258319i
\(628\) 3.12267 + 1.06308i 0.124608 + 0.0424216i
\(629\) −1.90329 + 0.788368i −0.0758891 + 0.0314343i
\(630\) −11.3837 6.25825i −0.453538 0.249335i
\(631\) 2.90839 2.90839i 0.115781 0.115781i −0.646842 0.762624i \(-0.723911\pi\)
0.762624 + 0.646842i \(0.223911\pi\)
\(632\) 1.59268 + 0.724181i 0.0633533 + 0.0288064i
\(633\) 0.0146661 0.0547348i 0.000582927 0.00217551i
\(634\) 41.9209 + 15.7991i 1.66489 + 0.627461i
\(635\) 7.71024 58.5651i 0.305972 2.32408i
\(636\) 3.75636 + 5.63257i 0.148949 + 0.223346i
\(637\) −2.74115 7.06688i −0.108608 0.280000i
\(638\) −13.2112 + 24.6902i −0.523037 + 0.977493i
\(639\) 13.8775 + 8.01221i 0.548987 + 0.316958i
\(640\) 31.9991 22.7806i 1.26487 0.900484i
\(641\) 18.6484 + 32.3000i 0.736569 + 1.27577i 0.954032 + 0.299706i \(0.0968886\pi\)
−0.217463 + 0.976069i \(0.569778\pi\)
\(642\) −13.6988 22.0511i −0.540647 0.870289i
\(643\) −3.73738 + 9.02284i −0.147388 + 0.355826i −0.980281 0.197608i \(-0.936683\pi\)
0.832893 + 0.553434i \(0.186683\pi\)
\(644\) −2.59463 13.9320i −0.102243 0.548997i
\(645\) 29.6281 12.2724i 1.16661 0.483224i
\(646\) −4.40489 + 0.725249i −0.173308 + 0.0285345i
\(647\) −13.5780 3.63822i −0.533807 0.143033i −0.0181614 0.999835i \(-0.505781\pi\)
−0.515646 + 0.856802i \(0.672448\pi\)
\(648\) 1.64444 + 2.30126i 0.0645999 + 0.0904021i
\(649\) 1.16972 + 4.36546i 0.0459156 + 0.171359i
\(650\) 1.06354 10.7496i 0.0417157 0.421635i
\(651\) 11.5230 19.4458i 0.451621 0.762140i
\(652\) −8.52474 43.0557i −0.333855 1.68619i
\(653\) −38.4142 + 29.4762i −1.50326 + 1.15349i −0.556817 + 0.830635i \(0.687977\pi\)
−0.946447 + 0.322859i \(0.895356\pi\)
\(654\) −8.18220 7.67026i −0.319949 0.299931i
\(655\) −22.1493 38.3637i −0.865445 1.49900i
\(656\) −10.6656 1.42335i −0.416422 0.0555724i
\(657\) −4.06115 −0.158441
\(658\) 18.1611 + 41.3722i 0.707994 + 1.61286i
\(659\) 6.12125 14.7780i 0.238450 0.575669i −0.758673 0.651472i \(-0.774152\pi\)
0.997123 + 0.0758026i \(0.0241519\pi\)
\(660\) −27.2208 + 13.3939i −1.05957 + 0.521357i
\(661\) 18.4218 + 14.1355i 0.716525 + 0.549809i 0.901418 0.432950i \(-0.142527\pi\)
−0.184893 + 0.982759i \(0.559194\pi\)
\(662\) 12.5996 + 27.8406i 0.489697 + 1.08206i
\(663\) −2.91092 + 0.779980i −0.113051 + 0.0302919i
\(664\) −1.90477 + 6.24933i −0.0739194 + 0.242521i
\(665\) −8.19335 6.43589i −0.317724 0.249573i
\(666\) 0.663753 + 0.809514i 0.0257199 + 0.0313680i
\(667\) −12.0337 1.58427i −0.465949 0.0613433i
\(668\) 10.7809 + 31.8520i 0.417125 + 1.23239i
\(669\) 4.26687 0.561744i 0.164967 0.0217183i
\(670\) −24.3171 39.1436i −0.939450 1.51225i
\(671\) 18.4893 0.713771
\(672\) −2.23769 14.7984i −0.0863207 0.570861i
\(673\) 11.3066 0.435839 0.217920 0.975967i \(-0.430073\pi\)
0.217920 + 0.975967i \(0.430073\pi\)
\(674\) −10.2548 16.5073i −0.395000 0.635839i
\(675\) −6.99354 + 0.920718i −0.269182 + 0.0354384i
\(676\) 22.4063 7.58381i 0.861779 0.291685i
\(677\) 17.7911 + 2.34224i 0.683766 + 0.0900195i 0.464403 0.885624i \(-0.346269\pi\)
0.219363 + 0.975643i \(0.429602\pi\)
\(678\) 16.5234 + 20.1520i 0.634577 + 0.773931i
\(679\) −33.0606 + 13.2570i −1.26875 + 0.508756i
\(680\) 24.1195 12.8510i 0.924941 0.492815i
\(681\) 18.0261 4.83009i 0.690764 0.185090i
\(682\) −21.7644 48.0916i −0.833401 1.84152i
\(683\) −11.6153 8.91277i −0.444449 0.341038i 0.362167 0.932113i \(-0.382037\pi\)
−0.806616 + 0.591075i \(0.798704\pi\)
\(684\) 1.00152 + 2.03543i 0.0382942 + 0.0778265i
\(685\) 10.1134 24.4160i 0.386415 0.932887i
\(686\) 25.9734 3.37363i 0.991670 0.128806i
\(687\) 22.1512 0.845123
\(688\) 31.9648 + 18.5303i 1.21865 + 0.706462i
\(689\) 1.83277 + 3.17445i 0.0698230 + 0.120937i
\(690\) −9.59353 8.99329i −0.365220 0.342369i
\(691\) 16.7099 12.8220i 0.635675 0.487771i −0.239935 0.970789i \(-0.577126\pi\)
0.875610 + 0.483018i \(0.160460\pi\)
\(692\) 12.3819 2.45154i 0.470691 0.0931935i
\(693\) −0.131073 + 11.5587i −0.00497904 + 0.439078i
\(694\) −0.312440 + 3.15794i −0.0118601 + 0.119874i
\(695\) −16.8798 62.9962i −0.640287 2.38958i
\(696\) −12.6446 2.10486i −0.479291 0.0797845i
\(697\) −7.23144 1.93766i −0.273910 0.0733940i
\(698\) −16.4051 + 2.70105i −0.620944 + 0.102236i
\(699\) −17.1995 + 7.12428i −0.650546 + 0.269465i
\(700\) 35.1955 + 12.4291i 1.33027 + 0.469775i
\(701\) −9.44157 + 22.7940i −0.356603 + 0.860916i 0.639170 + 0.769066i \(0.279278\pi\)
−0.995773 + 0.0918504i \(0.970722\pi\)
\(702\) 0.808091 + 1.30080i 0.0304994 + 0.0490955i
\(703\) 0.419800 + 0.727114i 0.0158330 + 0.0274236i
\(704\) −31.3068 15.5422i −1.17992 0.585768i
\(705\) 36.3081 + 20.9625i 1.36744 + 0.789493i
\(706\) −4.82642 + 9.02000i −0.181645 + 0.339472i
\(707\) 12.3927 + 3.47170i 0.466077 + 0.130567i
\(708\) −1.72120 + 1.14787i −0.0646867 + 0.0431395i
\(709\) −3.59582 + 27.3130i −0.135044 + 1.02576i 0.780958 + 0.624584i \(0.214731\pi\)
−0.916001 + 0.401175i \(0.868602\pi\)
\(710\) −73.6242 27.7474i −2.76307 1.04134i
\(711\) 0.160098 0.597496i 0.00600416 0.0224078i
\(712\) 12.2348 + 32.6382i 0.458517 + 1.22317i
\(713\) 16.1789 16.1789i 0.605904 0.605904i
\(714\) −0.218074 10.4110i −0.00816121 0.389621i
\(715\) −15.1751 + 6.28573i −0.567516 + 0.235073i
\(716\) 9.29604 27.3059i 0.347409 1.02047i
\(717\) −1.69731 + 0.223456i −0.0633874 + 0.00834511i
\(718\) −2.06494 + 2.20276i −0.0770629 + 0.0822063i
\(719\) −40.3049 23.2700i −1.50312 0.867826i −0.999993 0.00361305i \(-0.998850\pi\)
−0.503126 0.864213i \(-0.667817\pi\)
\(720\) −9.80255 9.83729i −0.365320 0.366614i
\(721\) −16.4086 + 12.2977i −0.611089 + 0.457990i
\(722\) −7.26122 23.9752i −0.270235 0.892265i
\(723\) −4.65431 6.06561i −0.173096 0.225582i
\(724\) −1.04994 + 15.8048i −0.0390207 + 0.587382i
\(725\) 19.4612 25.3624i 0.722772 0.941935i
\(726\) 9.29527 + 6.66712i 0.344980 + 0.247440i
\(727\) 34.1444 + 34.1444i 1.26635 + 1.26635i 0.947961 + 0.318385i \(0.103141\pi\)
0.318385 + 0.947961i \(0.396859\pi\)
\(728\) −0.692056 8.07363i −0.0256493 0.299229i
\(729\) 0.707107 0.707107i 0.0261891 0.0261891i
\(730\) 19.6752 3.23946i 0.728213 0.119898i
\(731\) 20.3946 + 15.6493i 0.754320 + 0.578810i
\(732\) 2.71349 + 8.01698i 0.100294 + 0.296316i
\(733\) −14.9516 + 11.4728i −0.552249 + 0.423756i −0.846824 0.531873i \(-0.821489\pi\)
0.294575 + 0.955628i \(0.404822\pi\)
\(734\) −16.5464 + 30.9232i −0.610737 + 1.14139i
\(735\) 17.5702 16.7908i 0.648085 0.619337i
\(736\) 1.51829 15.0737i 0.0559649 0.555625i
\(737\) −20.5026 + 35.5116i −0.755224 + 1.30809i
\(738\) 0.122792 + 3.80231i 0.00452002 + 0.139965i
\(739\) 2.91153 + 22.1153i 0.107102 + 0.813523i 0.957713 + 0.287727i \(0.0928994\pi\)
−0.850610 + 0.525797i \(0.823767\pi\)
\(740\) −3.86143 3.39243i −0.141949 0.124708i
\(741\) 0.470013 + 1.13471i 0.0172663 + 0.0416847i
\(742\) −12.1630 + 3.53368i −0.446519 + 0.129726i
\(743\) 22.0615 + 22.0615i 0.809357 + 0.809357i 0.984536 0.175180i \(-0.0560507\pi\)
−0.175180 + 0.984536i \(0.556051\pi\)
\(744\) 17.6584 16.4950i 0.647389 0.604736i
\(745\) −60.5013 16.2113i −2.21660 0.593935i
\(746\) −32.5175 + 14.7162i −1.19055 + 0.538797i
\(747\) 2.29006 + 0.301492i 0.0837890 + 0.0110310i
\(748\) −20.2083 13.5286i −0.738888 0.494655i
\(749\) 47.0509 12.0371i 1.71920 0.439827i
\(750\) 9.65160 2.92312i 0.352427 0.106737i
\(751\) −15.2966 + 26.4944i −0.558180 + 0.966796i 0.439468 + 0.898258i \(0.355167\pi\)
−0.997648 + 0.0685381i \(0.978167\pi\)
\(752\) 6.22003 + 47.9003i 0.226821 + 1.74674i
\(753\) −24.3090 + 14.0348i −0.885868 + 0.511456i
\(754\) −6.75824 1.57895i −0.246120 0.0575020i
\(755\) 18.2213 + 7.54751i 0.663141 + 0.274682i
\(756\) −5.03110 + 1.63952i −0.182979 + 0.0596289i
\(757\) −5.90102 14.2463i −0.214476 0.517791i 0.779625 0.626246i \(-0.215410\pi\)
−0.994101 + 0.108455i \(0.965410\pi\)
\(758\) 32.6784 + 23.4389i 1.18693 + 0.851339i
\(759\) −3.02846 + 11.3024i −0.109926 + 0.410250i
\(760\) −6.47572 9.06223i −0.234899 0.328721i
\(761\) −36.2381 + 9.70998i −1.31363 + 0.351987i −0.846589 0.532248i \(-0.821347\pi\)
−0.467043 + 0.884235i \(0.654681\pi\)
\(762\) −15.2562 18.6065i −0.552673 0.674042i
\(763\) 18.2885 10.2842i 0.662089 0.372312i
\(764\) −4.04315 + 2.69638i −0.146276 + 0.0975515i
\(765\) −5.88211 7.66572i −0.212668 0.277155i
\(766\) 1.23634 + 38.2838i 0.0446706 + 1.38325i
\(767\) −0.970049 + 0.560058i −0.0350265 + 0.0202225i
\(768\) 2.14452 15.8556i 0.0773836 0.572141i
\(769\) 47.7946i 1.72352i −0.507318 0.861759i \(-0.669363\pi\)
0.507318 0.861759i \(-0.330637\pi\)
\(770\) −8.58500 56.1034i −0.309382 2.02183i
\(771\) 2.17096 + 0.899241i 0.0781852 + 0.0323854i
\(772\) −23.0750 + 1.49192i −0.830487 + 0.0536955i
\(773\) −20.2283 + 26.3620i −0.727561 + 0.948175i −0.999902 0.0140254i \(-0.995535\pi\)
0.272341 + 0.962201i \(0.412202\pi\)
\(774\) 4.60682 12.2236i 0.165589 0.439369i
\(775\) 15.5974 + 58.2101i 0.560274 + 2.09097i
\(776\) −37.9004 + 3.68211i −1.36055 + 0.132180i
\(777\) −1.81777 + 0.728907i −0.0652120 + 0.0261494i
\(778\) 4.04907 + 0.400607i 0.145166 + 0.0143624i
\(779\) −0.398255 + 3.02505i −0.0142690 + 0.108384i
\(780\) −4.95260 5.65744i −0.177331 0.202569i
\(781\) 9.13834 + 69.4126i 0.326996 + 2.48378i
\(782\) 2.39811 10.2644i 0.0857564 0.367055i
\(783\) 4.53205i 0.161962i
\(784\) 27.6628 + 4.33224i 0.987958 + 0.154723i
\(785\) 5.72627i 0.204379i
\(786\) −17.5712 4.10522i −0.626743 0.146428i
\(787\) −0.400688 3.04352i −0.0142830 0.108490i 0.982818 0.184576i \(-0.0590911\pi\)
−0.997101 + 0.0760857i \(0.975758\pi\)
\(788\) 2.80844 42.2757i 0.100047 1.50601i
\(789\) 2.25300 17.1133i 0.0802091 0.609249i
\(790\) −0.299031 + 3.02242i −0.0106391 + 0.107533i
\(791\) −45.2513 + 18.1453i −1.60895 + 0.645174i
\(792\) −3.60289 + 11.8207i −0.128023 + 0.420029i
\(793\) 1.18602 + 4.42630i 0.0421170 + 0.157183i
\(794\) −21.4027 8.06621i −0.759553 0.286259i
\(795\) −7.15459 + 9.32404i −0.253747 + 0.330690i
\(796\) −33.9488 + 38.6422i −1.20328 + 1.36964i
\(797\) −8.86593 3.67239i −0.314047 0.130083i 0.220092 0.975479i \(-0.429364\pi\)
−0.534139 + 0.845396i \(0.679364\pi\)
\(798\) −4.19511 + 0.641940i −0.148505 + 0.0227244i
\(799\) 33.6071i 1.18894i
\(800\) 32.3834 + 23.3142i 1.14493 + 0.824280i
\(801\) 10.6724 6.16174i 0.377092 0.217714i
\(802\) −16.1625 + 0.521951i −0.570717 + 0.0184307i
\(803\) −10.8015 14.0768i −0.381177 0.496759i
\(804\) −18.4068 3.67827i −0.649159 0.129723i
\(805\) 21.4431 12.0581i 0.755770 0.424991i
\(806\) 10.1169 8.29526i 0.356353 0.292188i
\(807\) 17.1294 4.58980i 0.602982 0.161569i
\(808\) 11.6740 + 7.28088i 0.410692 + 0.256140i
\(809\) 7.20678 26.8961i 0.253377 0.945616i −0.715609 0.698501i \(-0.753851\pi\)
0.968986 0.247115i \(-0.0794825\pi\)
\(810\) −2.86171 + 3.98979i −0.100550 + 0.140187i
\(811\) 10.9997 + 26.5557i 0.386252 + 0.932496i 0.990727 + 0.135871i \(0.0433833\pi\)
−0.604474 + 0.796625i \(0.706617\pi\)
\(812\) 10.8688 21.3770i 0.381420 0.750184i
\(813\) 21.3047 + 8.82468i 0.747187 + 0.309495i
\(814\) −1.04055 + 4.45378i −0.0364713 + 0.156105i
\(815\) 65.9850 38.0964i 2.31135 1.33446i
\(816\) 2.90025 10.7478i 0.101529 0.376248i
\(817\) 5.23843 9.07322i 0.183269 0.317432i
\(818\) −12.9652 42.8088i −0.453319 1.49678i
\(819\) −2.77554 + 0.710072i −0.0969851 + 0.0248119i
\(820\) −3.62788 18.3232i −0.126691 0.639875i
\(821\) −27.2725 3.59049i −0.951816 0.125309i −0.361402 0.932410i \(-0.617702\pi\)
−0.590413 + 0.807101i \(0.701035\pi\)
\(822\) −4.43842 9.80733i −0.154808 0.342070i
\(823\) 2.58377 + 0.692319i 0.0900646 + 0.0241327i 0.303570 0.952809i \(-0.401821\pi\)
−0.213505 + 0.976942i \(0.568488\pi\)
\(824\) −20.5265 + 7.69457i −0.715075 + 0.268053i
\(825\) −21.7922 21.7922i −0.758708 0.758708i
\(826\) −1.07982 3.71678i −0.0375718 0.129323i
\(827\) 9.50779 + 22.9538i 0.330618 + 0.798183i 0.998543 + 0.0539546i \(0.0171826\pi\)
−0.667925 + 0.744228i \(0.732817\pi\)
\(828\) −5.34518 + 0.345595i −0.185758 + 0.0120102i
\(829\) −1.20005 9.11526i −0.0416794 0.316586i −0.999567 0.0294412i \(-0.990627\pi\)
0.957887 0.287145i \(-0.0927061\pi\)
\(830\) −11.3352 + 0.366060i −0.393452 + 0.0127061i
\(831\) 6.44839 11.1689i 0.223692 0.387446i
\(832\) 1.71255 8.49176i 0.0593719 0.294399i
\(833\) 18.6984 + 5.46758i 0.647862 + 0.189441i
\(834\) −23.4234 12.5334i −0.811085 0.433995i
\(835\) −46.3115 + 35.5360i −1.60267 + 1.22977i
\(836\) −4.39144 + 8.88514i −0.151881 + 0.307299i
\(837\) −6.77786 5.20084i −0.234277 0.179767i
\(838\) 2.96587 + 18.0136i 0.102454 + 0.622269i
\(839\) −6.49535 + 6.49535i −0.224244 + 0.224244i −0.810283 0.586039i \(-0.800687\pi\)
0.586039 + 0.810283i \(0.300687\pi\)
\(840\) 23.0666 11.9562i 0.795872 0.412529i
\(841\) 5.98251 + 5.98251i 0.206293 + 0.206293i
\(842\) 14.5246 20.2502i 0.500552 0.697868i
\(843\) −11.9894 + 15.6249i −0.412938 + 0.538151i
\(844\) 0.0746491 + 0.0852729i 0.00256953 + 0.00293522i
\(845\) 24.9978 + 32.5778i 0.859951 + 1.12071i
\(846\) 16.3443 4.95011i 0.561930 0.170188i
\(847\) −17.1248 + 12.8345i −0.588416 + 0.440998i
\(848\) −13.5405 0.0239481i −0.464981 0.000822380i
\(849\) −0.500979 0.289240i −0.0171936 0.00992670i
\(850\) 20.2548 + 18.9875i 0.694734 + 0.651267i
\(851\) −1.96550 + 0.258763i −0.0673765 + 0.00887028i
\(852\) −28.7562 + 14.1494i −0.985173 + 0.484751i
\(853\) 21.1203 8.74832i 0.723146 0.299537i 0.00941381 0.999956i \(-0.497003\pi\)
0.713732 + 0.700419i \(0.247003\pi\)
\(854\) −15.8308 + 0.331600i −0.541717 + 0.0113471i
\(855\) −2.78454 + 2.78454i −0.0952294 + 0.0952294i
\(856\) 51.8894 + 1.76759i 1.77354 + 0.0604150i
\(857\) −4.18526 + 15.6196i −0.142966 + 0.533556i 0.856872 + 0.515530i \(0.172405\pi\)
−0.999838 + 0.0180260i \(0.994262\pi\)
\(858\) −2.35954 + 6.26076i −0.0805535 + 0.213739i
\(859\) 1.72688 13.1170i 0.0589205 0.447546i −0.936401 0.350931i \(-0.885865\pi\)
0.995322 0.0966149i \(-0.0308015\pi\)
\(860\) −12.5684 + 62.8950i −0.428580 + 2.14470i
\(861\) −6.85333 1.91989i −0.233561 0.0654298i
\(862\) 1.11982 + 0.599191i 0.0381411 + 0.0204085i
\(863\) −32.6743 18.8645i −1.11225 0.642156i −0.172836 0.984951i \(-0.555293\pi\)
−0.939410 + 0.342795i \(0.888626\pi\)
\(864\) −5.65422 + 0.172587i −0.192361 + 0.00587154i
\(865\) 10.9557 + 18.9759i 0.372507 + 0.645200i
\(866\) 8.88772 5.52129i 0.302017 0.187621i
\(867\) −3.54158 + 8.55012i −0.120278 + 0.290377i
\(868\) 19.4974 + 40.7862i 0.661786 + 1.38437i
\(869\) 2.49686 1.03423i 0.0847001 0.0350839i
\(870\) −3.61508 21.9566i −0.122563 0.744398i
\(871\) −9.81658 2.63034i −0.332622 0.0891258i
\(872\) 21.8512 5.06444i 0.739976 0.171504i
\(873\) 3.48446 + 13.0042i 0.117931 + 0.440125i
\(874\) −4.27507 0.422966i −0.144606 0.0143070i
\(875\) −0.213927 + 18.8652i −0.00723206 + 0.637762i
\(876\) 4.51848 6.74946i 0.152665 0.228043i
\(877\) −19.9634 + 15.3184i −0.674115 + 0.517267i −0.888147 0.459560i \(-0.848007\pi\)
0.214032 + 0.976827i \(0.431340\pi\)
\(878\) 0.828212 0.883490i 0.0279508 0.0298163i
\(879\) 13.2135 + 22.8864i 0.445680 + 0.771940i
\(880\) 8.02608 60.1420i 0.270559 2.02739i
\(881\) −9.83122 −0.331222 −0.165611 0.986191i \(-0.552960\pi\)
−0.165611 + 0.986191i \(0.552960\pi\)
\(882\) −0.0950755 9.89904i −0.00320136 0.333318i
\(883\) 3.17939 7.67573i 0.106995 0.258309i −0.861310 0.508080i \(-0.830355\pi\)
0.968305 + 0.249771i \(0.0803554\pi\)
\(884\) 1.94243 5.70564i 0.0653311 0.191901i
\(885\) −2.84924 2.18630i −0.0957761 0.0734916i
\(886\) 13.2947 6.01665i 0.446643 0.202133i
\(887\) 15.5163 4.15758i 0.520986 0.139598i 0.0112635 0.999937i \(-0.496415\pi\)
0.509723 + 0.860339i \(0.329748\pi\)
\(888\) −2.08388 + 0.202453i −0.0699303 + 0.00679388i
\(889\) 41.7809 16.7538i 1.40129 0.561903i
\(890\) −46.7902 + 38.3651i −1.56841 + 1.28600i
\(891\) 4.33168 + 0.570276i 0.145117 + 0.0191050i
\(892\) −3.81377 + 7.71636i −0.127695 + 0.258363i
\(893\) 13.5795 1.78777i 0.454420 0.0598255i
\(894\) −21.6722 + 13.4633i −0.724826 + 0.450282i
\(895\) 50.0729 1.67375
\(896\) 27.0840 + 12.7459i 0.904812 + 0.425811i
\(897\) −2.90003 −0.0968292
\(898\) −31.4780 + 19.5550i −1.05043 + 0.652557i
\(899\) 38.3874 5.05380i 1.28029 0.168554i
\(900\) 6.25090 12.6474i 0.208363 0.421579i
\(901\) −9.34038 1.22968i −0.311173 0.0409667i
\(902\) −12.8530 + 10.5387i −0.427958 + 0.350899i
\(903\) 19.2184 + 15.0961i 0.639549 + 0.502367i
\(904\) −51.8758 + 5.03985i −1.72536 + 0.167623i
\(905\) −26.5597 + 7.11665i −0.882874 + 0.236565i
\(906\) 7.31907 3.31233i 0.243160 0.110045i
\(907\) −29.8416 22.8982i −0.990873 0.760324i −0.0199709 0.999801i \(-0.506357\pi\)
−0.970902 + 0.239477i \(0.923024\pi\)
\(908\) −12.0287 + 35.3327i −0.399186 + 1.17256i
\(909\) 1.86150 4.49407i 0.0617422 0.149059i
\(910\) 12.8804 5.65407i 0.426980 0.187431i
\(911\) −24.8471 −0.823222 −0.411611 0.911360i \(-0.635034\pi\)
−0.411611 + 0.911360i \(0.635034\pi\)
\(912\) −4.49710 0.600147i −0.148914 0.0198729i
\(913\) 5.04587 + 8.73971i 0.166994 + 0.289242i
\(914\) −34.5713 + 36.8787i −1.14352 + 1.21984i
\(915\) −11.6564 + 8.94424i −0.385347 + 0.295688i
\(916\) −24.6457 + 36.8144i −0.814317 + 1.21638i
\(917\) 17.2094 29.0419i 0.568303 0.959049i
\(918\) −3.91672 0.387512i −0.129271 0.0127898i
\(919\) −5.91547 22.0768i −0.195133 0.728247i −0.992232 0.124399i \(-0.960300\pi\)
0.797099 0.603848i \(-0.206367\pi\)
\(920\) 25.6203 5.93800i 0.844677 0.195770i
\(921\) 19.4337 + 5.20724i 0.640362 + 0.171584i
\(922\) 1.07769 + 6.54549i 0.0354919 + 0.215564i
\(923\) −16.0311 + 6.64028i −0.527669 + 0.218567i
\(924\) −19.0642 13.0782i −0.627166 0.430240i
\(925\) 1.99818 4.82404i 0.0656998 0.158613i
\(926\) −8.93258 + 5.54916i −0.293543 + 0.182357i
\(927\) 3.87518 + 6.71201i 0.127278 + 0.220451i
\(928\) 17.5667 18.6728i 0.576654 0.612966i
\(929\) −31.0763 17.9419i −1.01958 0.588656i −0.105599 0.994409i \(-0.533676\pi\)
−0.913983 + 0.405753i \(0.867009\pi\)
\(930\) 36.9855 + 19.7902i 1.21280 + 0.648946i
\(931\) 1.21458 7.84624i 0.0398061 0.257150i
\(932\) 7.29615 36.5114i 0.238993 1.19597i
\(933\) 3.87319 29.4198i 0.126802 0.963160i
\(934\) 7.20834 19.1264i 0.235864 0.625837i
\(935\) 10.9262 40.7772i 0.357326 1.33356i
\(936\) −3.06096 0.104270i −0.100051 0.00340818i
\(937\) −9.40793 + 9.40793i −0.307344 + 0.307344i −0.843878 0.536535i \(-0.819733\pi\)
0.536535 + 0.843878i \(0.319733\pi\)
\(938\) 16.9177 30.7731i 0.552382 1.00478i
\(939\) 6.11830 2.53428i 0.199663 0.0827032i
\(940\) −75.2355 + 37.0194i −2.45391 + 1.20744i
\(941\) −9.13613 + 1.20279i −0.297829 + 0.0392100i −0.277960 0.960593i \(-0.589658\pi\)
−0.0198692 + 0.999803i \(0.506325\pi\)
\(942\) 1.70171 + 1.59524i 0.0554447 + 0.0519756i
\(943\) −6.23917 3.60219i −0.203175 0.117303i
\(944\) 0.00731805 4.13769i 0.000238182 0.134670i
\(945\) −5.50891 7.35045i −0.179205 0.239110i
\(946\) 54.6224 16.5432i 1.77593 0.537865i
\(947\) 29.5937 + 38.5672i 0.961666 + 1.25327i 0.967392 + 0.253283i \(0.0815105\pi\)
−0.00572655 + 0.999984i \(0.501823\pi\)
\(948\) 0.814884 + 0.930857i 0.0264662 + 0.0302328i
\(949\) 2.67708 3.48884i 0.0869016 0.113252i
\(950\) 6.59472 9.19433i 0.213961 0.298303i
\(951\) 22.3996 + 22.3996i 0.726357 + 0.726357i
\(952\) 17.5452 + 11.2209i 0.568643 + 0.363672i
\(953\) −2.02582 + 2.02582i −0.0656226 + 0.0656226i −0.739156 0.673534i \(-0.764776\pi\)
0.673534 + 0.739156i \(0.264776\pi\)
\(954\) 0.777738 + 4.72368i 0.0251802 + 0.152935i
\(955\) −6.69295 5.13568i −0.216579 0.166187i
\(956\) 1.51708 3.06948i 0.0490658 0.0992741i
\(957\) −15.7090 + 12.0539i −0.507800 + 0.389649i
\(958\) 39.9052 + 21.3525i 1.28928 + 0.689868i
\(959\) 19.9955 2.40213i 0.645690 0.0775689i
\(960\) 27.2556 5.34634i 0.879670 0.172552i
\(961\) −20.9940 + 36.3627i −0.677227 + 1.17299i
\(962\) −1.13297 + 0.0365882i −0.0365286 + 0.00117965i
\(963\) −2.39598 18.1993i −0.0772094 0.586464i
\(964\) 15.2592 0.986590i 0.491466 0.0317759i
\(965\) −15.3610 37.0848i −0.494490 1.19380i
\(966\) 2.39030 9.73153i 0.0769066 0.313107i
\(967\) 26.8519 + 26.8519i 0.863498 + 0.863498i 0.991743 0.128245i \(-0.0409344\pi\)
−0.128245 + 0.991743i \(0.540934\pi\)
\(968\) −21.4225 + 8.03042i −0.688544 + 0.258107i
\(969\) −3.04910 0.817004i −0.0979512 0.0262459i
\(970\) −27.2543 60.2224i −0.875084 1.93363i
\(971\) 29.5794 + 3.89420i 0.949248 + 0.124971i 0.589222 0.807971i \(-0.299434\pi\)
0.360026 + 0.932942i \(0.382768\pi\)
\(972\) 0.388446 + 1.96191i 0.0124594 + 0.0629284i
\(973\) 35.5394 34.7424i 1.13934 1.11379i
\(974\) 12.9752 + 42.8416i 0.415751 + 1.37273i
\(975\) 3.81912 6.61491i 0.122310 0.211847i
\(976\) −16.3429 4.41007i −0.523125 0.141163i
\(977\) 13.6723 7.89369i 0.437415 0.252542i −0.265086 0.964225i \(-0.585400\pi\)
0.702500 + 0.711683i \(0.252067\pi\)
\(978\) 7.06090 30.2221i 0.225783 0.966397i
\(979\) 49.7435 + 20.6044i 1.58981 + 0.658520i
\(980\) 8.35678 + 47.8824i 0.266947 + 1.52955i
\(981\) −3.03482 7.32670i −0.0968943 0.233923i
\(982\) 20.8712 29.0985i 0.666027 0.928572i
\(983\) −9.08800 + 33.9169i −0.289862 + 1.08178i 0.655350 + 0.755325i \(0.272521\pi\)
−0.945213 + 0.326456i \(0.894146\pi\)
\(984\) −6.45589 4.02641i −0.205806 0.128357i
\(985\) 71.0434 19.0360i 2.26363 0.606538i
\(986\) 13.7935 11.3098i 0.439275 0.360179i
\(987\) −0.362271 + 31.9470i −0.0115312 + 1.01688i
\(988\) −2.40878 0.481351i −0.0766335 0.0153138i
\(989\) 15.0595 + 19.6259i 0.478864 + 0.624068i
\(990\) −21.4407 + 0.692407i −0.681432 + 0.0220061i
\(991\) 23.5997 13.6253i 0.749669 0.432821i −0.0759055 0.997115i \(-0.524185\pi\)
0.825574 + 0.564294i \(0.190851\pi\)
\(992\) 7.76702 + 47.7000i 0.246603 + 1.51448i
\(993\) 21.6084i 0.685723i
\(994\) −9.06925 59.2680i −0.287659 1.87987i
\(995\) −82.4940 34.1701i −2.61524 1.08327i
\(996\) −3.04902 + 3.47054i −0.0966117 + 0.109968i
\(997\) −4.31271 + 5.62043i −0.136585 + 0.178001i −0.856638 0.515918i \(-0.827451\pi\)
0.720053 + 0.693919i \(0.244117\pi\)
\(998\) −3.30354 1.24503i −0.104572 0.0394108i
\(999\) 0.191586 + 0.715007i 0.00606150 + 0.0226218i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 672.2.cf.a.19.12 512
7.3 odd 6 inner 672.2.cf.a.115.29 yes 512
32.27 odd 8 inner 672.2.cf.a.187.29 yes 512
224.59 even 24 inner 672.2.cf.a.283.12 yes 512
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
672.2.cf.a.19.12 512 1.1 even 1 trivial
672.2.cf.a.115.29 yes 512 7.3 odd 6 inner
672.2.cf.a.187.29 yes 512 32.27 odd 8 inner
672.2.cf.a.283.12 yes 512 224.59 even 24 inner