Properties

Label 276.2.m.a.7.7
Level $276$
Weight $2$
Character 276.7
Analytic conductor $2.204$
Analytic rank $0$
Dimension $240$
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] = [276,2,Mod(7,276)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(276, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 19]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("276.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 276.m (of order \(22\), degree \(10\), 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: \(2.20387109579\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 7.7
Character \(\chi\) \(=\) 276.7
Dual form 276.2.m.a.79.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.916755 - 1.07683i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-0.319120 + 1.97438i) q^{4} +(1.92635 - 0.879733i) q^{5} +(0.410251 - 1.35340i) q^{6} +(-0.906673 + 0.266223i) q^{7} +(2.41862 - 1.46638i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.916755 - 1.07683i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-0.319120 + 1.97438i) q^{4} +(1.92635 - 0.879733i) q^{5} +(0.410251 - 1.35340i) q^{6} +(-0.906673 + 0.266223i) q^{7} +(2.41862 - 1.46638i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-2.71331 - 1.26785i) q^{10} +(1.56995 + 1.81182i) q^{11} +(-1.83348 + 0.798968i) q^{12} +(1.21043 + 0.355413i) q^{13} +(1.11787 + 0.732270i) q^{14} +(1.78154 + 1.14493i) q^{15} +(-3.79632 - 1.26013i) q^{16} +(4.32571 + 0.621943i) q^{17} +(1.36035 - 0.386579i) q^{18} +(0.151973 + 1.05700i) q^{19} +(1.12219 + 4.08407i) q^{20} +(-0.714146 - 0.618811i) q^{21} +(0.511758 - 3.35156i) q^{22} +(4.76843 - 0.511920i) q^{23} +(2.54120 + 1.24189i) q^{24} +(-0.337421 + 0.389405i) q^{25} +(-0.726945 - 1.62925i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(-0.236287 - 1.87507i) q^{28} +(0.164685 - 1.14541i) q^{29} +(-0.400347 - 2.96803i) q^{30} +(3.68217 - 5.72957i) q^{31} +(2.12336 + 5.24322i) q^{32} +(-0.675419 + 2.30027i) q^{33} +(-3.29589 - 5.22821i) q^{34} +(-1.51236 + 1.31047i) q^{35} +(-1.66339 - 1.11047i) q^{36} +(-5.44152 - 2.48506i) q^{37} +(0.998881 - 1.13266i) q^{38} +(0.355413 + 1.21043i) q^{39} +(3.36908 - 4.95250i) q^{40} +(-3.94341 - 8.63486i) q^{41} +(-0.0116565 + 1.33631i) q^{42} +(0.0805092 - 0.0517401i) q^{43} +(-4.07821 + 2.52148i) q^{44} +2.11772i q^{45} +(-4.92273 - 4.66548i) q^{46} +8.69679i q^{47} +(-0.992362 - 3.87495i) q^{48} +(-5.13759 + 3.30173i) q^{49} +(0.728656 + 0.00635599i) q^{50} +(1.81544 + 3.97526i) q^{51} +(-1.08799 + 2.27642i) q^{52} +(-1.54947 - 5.27701i) q^{53} +(1.06067 + 0.935400i) q^{54} +(4.61818 + 2.10905i) q^{55} +(-1.80251 + 1.97342i) q^{56} +(-0.807039 + 0.699303i) q^{57} +(-1.38439 + 0.872723i) q^{58} +(-0.486244 + 1.65600i) q^{59} +(-2.82904 + 3.15206i) q^{60} +(-4.23592 + 6.59122i) q^{61} +(-9.54542 + 1.28755i) q^{62} +(0.134480 - 0.935332i) q^{63} +(3.69945 - 7.09324i) q^{64} +(2.64437 - 0.380203i) q^{65} +(3.09619 - 1.38147i) q^{66} +(-3.69124 + 4.25992i) q^{67} +(-2.60837 + 8.34210i) q^{68} +(3.00866 + 3.73469i) q^{69} +(2.79762 + 0.427175i) q^{70} +(-7.09378 - 6.14680i) q^{71} +(0.329137 + 2.80921i) q^{72} +(1.48957 + 10.3602i) q^{73} +(2.31256 + 8.13778i) q^{74} +(-0.510012 - 0.0733287i) q^{75} +(-2.13541 - 0.0372567i) q^{76} +(-1.90578 - 1.22477i) q^{77} +(0.977595 - 1.49238i) q^{78} +(-9.71695 - 2.85315i) q^{79} +(-8.42161 + 0.912312i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-5.68313 + 12.1624i) q^{82} +(1.70125 - 3.72522i) q^{83} +(1.44966 - 1.21252i) q^{84} +(8.87996 - 2.60739i) q^{85} +(-0.129522 - 0.0392616i) q^{86} +(1.05262 - 0.480714i) q^{87} +(6.45392 + 2.07995i) q^{88} +(-2.71733 - 4.22824i) q^{89} +(2.28042 - 1.94143i) q^{90} -1.19208 q^{91} +(-0.510980 + 9.57804i) q^{92} +6.81076 q^{93} +(9.36496 - 7.97283i) q^{94} +(1.22263 + 1.90245i) q^{95} +(-3.26290 + 4.62098i) q^{96} +(-11.2803 + 5.15155i) q^{97} +(8.26531 + 2.50543i) q^{98} +(-2.30027 + 0.675419i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(139\) \(185\)
\(\chi(n)\) \(e\left(\frac{19}{22}\right)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.916755 1.07683i −0.648244 0.761433i
\(3\) 0.540641 + 0.841254i 0.312139 + 0.485698i
\(4\) −0.319120 + 1.97438i −0.159560 + 0.987188i
\(5\) 1.92635 0.879733i 0.861489 0.393429i 0.0648575 0.997895i \(-0.479341\pi\)
0.796631 + 0.604466i \(0.206613\pi\)
\(6\) 0.410251 1.35340i 0.167484 0.552524i
\(7\) −0.906673 + 0.266223i −0.342690 + 0.100623i −0.448549 0.893758i \(-0.648059\pi\)
0.105859 + 0.994381i \(0.466241\pi\)
\(8\) 2.41862 1.46638i 0.855111 0.518444i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) −2.71331 1.26785i −0.858024 0.400928i
\(11\) 1.56995 + 1.81182i 0.473357 + 0.546283i 0.941342 0.337453i \(-0.109565\pi\)
−0.467985 + 0.883736i \(0.655020\pi\)
\(12\) −1.83348 + 0.798968i −0.529280 + 0.230642i
\(13\) 1.21043 + 0.355413i 0.335712 + 0.0985739i 0.445244 0.895409i \(-0.353117\pi\)
−0.109532 + 0.993983i \(0.534935\pi\)
\(14\) 1.11787 + 0.732270i 0.298764 + 0.195707i
\(15\) 1.78154 + 1.14493i 0.459992 + 0.295619i
\(16\) −3.79632 1.26013i −0.949081 0.315032i
\(17\) 4.32571 + 0.621943i 1.04914 + 0.150843i 0.645255 0.763967i \(-0.276751\pi\)
0.403883 + 0.914811i \(0.367660\pi\)
\(18\) 1.36035 0.386579i 0.320638 0.0911175i
\(19\) 0.151973 + 1.05700i 0.0348650 + 0.242491i 0.999800 0.0199974i \(-0.00636579\pi\)
−0.964935 + 0.262489i \(0.915457\pi\)
\(20\) 1.12219 + 4.08407i 0.250929 + 0.913227i
\(21\) −0.714146 0.618811i −0.155839 0.135036i
\(22\) 0.511758 3.35156i 0.109107 0.714554i
\(23\) 4.76843 0.511920i 0.994287 0.106743i
\(24\) 2.54120 + 1.24189i 0.518721 + 0.253499i
\(25\) −0.337421 + 0.389405i −0.0674843 + 0.0778810i
\(26\) −0.726945 1.62925i −0.142566 0.319522i
\(27\) −0.989821 + 0.142315i −0.190491 + 0.0273885i
\(28\) −0.236287 1.87507i −0.0446541 0.354355i
\(29\) 0.164685 1.14541i 0.0305813 0.212697i −0.968801 0.247840i \(-0.920279\pi\)
0.999382 + 0.0351423i \(0.0111885\pi\)
\(30\) −0.400347 2.96803i −0.0730929 0.541886i
\(31\) 3.68217 5.72957i 0.661338 1.02906i −0.334888 0.942258i \(-0.608698\pi\)
0.996225 0.0868036i \(-0.0276653\pi\)
\(32\) 2.12336 + 5.24322i 0.375360 + 0.926879i
\(33\) −0.675419 + 2.30027i −0.117575 + 0.400425i
\(34\) −3.29589 5.22821i −0.565240 0.896631i
\(35\) −1.51236 + 1.31047i −0.255636 + 0.221510i
\(36\) −1.66339 1.11047i −0.277231 0.185078i
\(37\) −5.44152 2.48506i −0.894581 0.408541i −0.0855680 0.996332i \(-0.527270\pi\)
−0.809013 + 0.587791i \(0.799998\pi\)
\(38\) 0.998881 1.13266i 0.162040 0.183741i
\(39\) 0.355413 + 1.21043i 0.0569117 + 0.193823i
\(40\) 3.36908 4.95250i 0.532698 0.783059i
\(41\) −3.94341 8.63486i −0.615857 1.34854i −0.918495 0.395433i \(-0.870595\pi\)
0.302638 0.953106i \(-0.402133\pi\)
\(42\) −0.0116565 + 1.33631i −0.00179864 + 0.206197i
\(43\) 0.0805092 0.0517401i 0.0122775 0.00789029i −0.534488 0.845176i \(-0.679495\pi\)
0.546765 + 0.837286i \(0.315859\pi\)
\(44\) −4.07821 + 2.52148i −0.614813 + 0.380128i
\(45\) 2.11772i 0.315691i
\(46\) −4.92273 4.66548i −0.725818 0.687887i
\(47\) 8.69679i 1.26856i 0.773104 + 0.634279i \(0.218703\pi\)
−0.773104 + 0.634279i \(0.781297\pi\)
\(48\) −0.992362 3.87495i −0.143235 0.559300i
\(49\) −5.13759 + 3.30173i −0.733942 + 0.471676i
\(50\) 0.728656 + 0.00635599i 0.103047 + 0.000898872i
\(51\) 1.81544 + 3.97526i 0.254213 + 0.556648i
\(52\) −1.08799 + 2.27642i −0.150877 + 0.315682i
\(53\) −1.54947 5.27701i −0.212836 0.724853i −0.994829 0.101565i \(-0.967615\pi\)
0.781993 0.623287i \(-0.214203\pi\)
\(54\) 1.06067 + 0.935400i 0.144339 + 0.127292i
\(55\) 4.61818 + 2.10905i 0.622715 + 0.284384i
\(56\) −1.80251 + 1.97342i −0.240871 + 0.263710i
\(57\) −0.807039 + 0.699303i −0.106895 + 0.0926249i
\(58\) −1.38439 + 0.872723i −0.181779 + 0.114594i
\(59\) −0.486244 + 1.65600i −0.0633036 + 0.215592i −0.985070 0.172153i \(-0.944928\pi\)
0.921767 + 0.387745i \(0.126746\pi\)
\(60\) −2.82904 + 3.15206i −0.365228 + 0.406929i
\(61\) −4.23592 + 6.59122i −0.542354 + 0.843920i −0.998953 0.0457532i \(-0.985431\pi\)
0.456599 + 0.889673i \(0.349068\pi\)
\(62\) −9.54542 + 1.28755i −1.21227 + 0.163518i
\(63\) 0.134480 0.935332i 0.0169429 0.117841i
\(64\) 3.69945 7.09324i 0.462431 0.886655i
\(65\) 2.64437 0.380203i 0.327994 0.0471584i
\(66\) 3.09619 1.38147i 0.381114 0.170047i
\(67\) −3.69124 + 4.25992i −0.450957 + 0.520432i −0.935017 0.354603i \(-0.884616\pi\)
0.484060 + 0.875035i \(0.339162\pi\)
\(68\) −2.60837 + 8.34210i −0.316311 + 1.01163i
\(69\) 3.00866 + 3.73469i 0.362200 + 0.449604i
\(70\) 2.79762 + 0.427175i 0.334379 + 0.0510572i
\(71\) −7.09378 6.14680i −0.841877 0.729491i 0.122940 0.992414i \(-0.460768\pi\)
−0.964817 + 0.262924i \(0.915313\pi\)
\(72\) 0.329137 + 2.80921i 0.0387891 + 0.331069i
\(73\) 1.48957 + 10.3602i 0.174341 + 1.21257i 0.869582 + 0.493789i \(0.164389\pi\)
−0.695241 + 0.718777i \(0.744702\pi\)
\(74\) 2.31256 + 8.13778i 0.268830 + 0.945998i
\(75\) −0.510012 0.0733287i −0.0588911 0.00846727i
\(76\) −2.13541 0.0372567i −0.244948 0.00427363i
\(77\) −1.90578 1.22477i −0.217183 0.139575i
\(78\) 0.977595 1.49238i 0.110691 0.168979i
\(79\) −9.71695 2.85315i −1.09324 0.321005i −0.315078 0.949066i \(-0.602031\pi\)
−0.778164 + 0.628061i \(0.783849\pi\)
\(80\) −8.42161 + 0.912312i −0.941565 + 0.102000i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) −5.68313 + 12.1624i −0.627596 + 1.34312i
\(83\) 1.70125 3.72522i 0.186737 0.408896i −0.792990 0.609234i \(-0.791477\pi\)
0.979727 + 0.200338i \(0.0642041\pi\)
\(84\) 1.44966 1.21252i 0.158171 0.132296i
\(85\) 8.87996 2.60739i 0.963167 0.282811i
\(86\) −0.129522 0.0392616i −0.0139668 0.00423369i
\(87\) 1.05262 0.480714i 0.112852 0.0515379i
\(88\) 6.45392 + 2.07995i 0.687990 + 0.221724i
\(89\) −2.71733 4.22824i −0.288036 0.448193i 0.666839 0.745202i \(-0.267647\pi\)
−0.954875 + 0.297009i \(0.904011\pi\)
\(90\) 2.28042 1.94143i 0.240378 0.204645i
\(91\) −1.19208 −0.124964
\(92\) −0.510980 + 9.57804i −0.0532734 + 0.998580i
\(93\) 6.81076 0.706243
\(94\) 9.36496 7.97283i 0.965921 0.822334i
\(95\) 1.22263 + 1.90245i 0.125439 + 0.195187i
\(96\) −3.26290 + 4.62098i −0.333019 + 0.471627i
\(97\) −11.2803 + 5.15155i −1.14534 + 0.523061i −0.895428 0.445207i \(-0.853130\pi\)
−0.249915 + 0.968268i \(0.580403\pi\)
\(98\) 8.26531 + 2.50543i 0.834923 + 0.253087i
\(99\) −2.30027 + 0.675419i −0.231185 + 0.0678822i
\(100\) −0.661154 0.790464i −0.0661154 0.0790464i
\(101\) 6.17325 13.5175i 0.614262 1.34505i −0.305359 0.952237i \(-0.598776\pi\)
0.919620 0.392808i \(-0.128496\pi\)
\(102\) 2.61636 5.59926i 0.259058 0.554410i
\(103\) −10.2319 11.8083i −1.00818 1.16350i −0.986504 0.163738i \(-0.947645\pi\)
−0.0216776 0.999765i \(-0.506901\pi\)
\(104\) 3.44873 0.915338i 0.338176 0.0897562i
\(105\) −1.92008 0.563787i −0.187381 0.0550199i
\(106\) −4.26195 + 6.50624i −0.413957 + 0.631941i
\(107\) −9.28354 5.96617i −0.897474 0.576771i 0.00856615 0.999963i \(-0.497273\pi\)
−0.906040 + 0.423192i \(0.860910\pi\)
\(108\) 0.0348889 1.99970i 0.00335719 0.192421i
\(109\) 14.2719 + 2.05199i 1.36700 + 0.196545i 0.786438 0.617669i \(-0.211923\pi\)
0.580564 + 0.814214i \(0.302832\pi\)
\(110\) −1.96265 6.90647i −0.187132 0.658506i
\(111\) −0.851344 5.92122i −0.0808060 0.562018i
\(112\) 3.77750 + 0.131853i 0.356940 + 0.0124589i
\(113\) −7.92033 6.86301i −0.745082 0.645618i 0.197228 0.980358i \(-0.436806\pi\)
−0.942311 + 0.334740i \(0.891351\pi\)
\(114\) 1.49289 + 0.227953i 0.139822 + 0.0213497i
\(115\) 8.73530 5.18108i 0.814571 0.483138i
\(116\) 2.20892 + 0.690674i 0.205093 + 0.0641275i
\(117\) −0.826125 + 0.953399i −0.0763752 + 0.0881417i
\(118\) 2.22899 0.994541i 0.205195 0.0915549i
\(119\) −4.08758 + 0.587705i −0.374708 + 0.0538748i
\(120\) 5.98777 + 0.156724i 0.546606 + 0.0143069i
\(121\) 0.747521 5.19912i 0.0679564 0.472647i
\(122\) 10.9809 1.48118i 0.994166 0.134099i
\(123\) 5.13214 7.98576i 0.462749 0.720052i
\(124\) 10.1373 + 9.09842i 0.910354 + 0.817062i
\(125\) −3.29057 + 11.2067i −0.294318 + 1.00235i
\(126\) −1.13048 + 0.712658i −0.100711 + 0.0634886i
\(127\) 5.24764 4.54711i 0.465653 0.403490i −0.390184 0.920737i \(-0.627588\pi\)
0.855836 + 0.517247i \(0.173043\pi\)
\(128\) −11.0297 + 2.51909i −0.974896 + 0.222659i
\(129\) 0.0870531 + 0.0397558i 0.00766460 + 0.00350030i
\(130\) −2.83365 2.49898i −0.248528 0.219175i
\(131\) −3.70643 12.6229i −0.323832 1.10287i −0.947120 0.320879i \(-0.896022\pi\)
0.623288 0.781992i \(-0.285796\pi\)
\(132\) −4.32605 2.06759i −0.376534 0.179961i
\(133\) −0.419187 0.917891i −0.0363481 0.0795912i
\(134\) 7.97117 + 0.0695317i 0.688604 + 0.00600662i
\(135\) −1.78154 + 1.14493i −0.153331 + 0.0985396i
\(136\) 11.3742 4.83890i 0.975334 0.414932i
\(137\) 12.3931i 1.05882i 0.848367 + 0.529409i \(0.177586\pi\)
−0.848367 + 0.529409i \(0.822414\pi\)
\(138\) 1.26342 6.66362i 0.107549 0.567245i
\(139\) 9.48885i 0.804833i 0.915457 + 0.402417i \(0.131830\pi\)
−0.915457 + 0.402417i \(0.868170\pi\)
\(140\) −2.10473 3.40417i −0.177882 0.287705i
\(141\) −7.31621 + 4.70184i −0.616136 + 0.395966i
\(142\) −0.115787 + 13.2739i −0.00971661 + 1.11392i
\(143\) 1.25636 + 2.75105i 0.105062 + 0.230054i
\(144\) 2.72330 2.92978i 0.226942 0.244149i
\(145\) −0.690415 2.35134i −0.0573358 0.195268i
\(146\) 9.79056 11.1017i 0.810272 0.918787i
\(147\) −5.55519 2.53697i −0.458184 0.209246i
\(148\) 6.64294 9.95058i 0.546047 0.817933i
\(149\) 16.9975 14.7284i 1.39249 1.20660i 0.441548 0.897237i \(-0.354429\pi\)
0.950944 0.309364i \(-0.100116\pi\)
\(150\) 0.388594 + 0.616420i 0.0317286 + 0.0503305i
\(151\) −1.96367 + 6.68765i −0.159801 + 0.544233i 0.840197 + 0.542282i \(0.182439\pi\)
−0.999998 + 0.00195169i \(0.999379\pi\)
\(152\) 1.91752 + 2.33362i 0.155532 + 0.189282i
\(153\) −2.36270 + 3.67644i −0.191013 + 0.297222i
\(154\) 0.428265 + 3.17501i 0.0345106 + 0.255849i
\(155\) 2.05265 14.2765i 0.164873 1.14671i
\(156\) −2.50326 + 0.315448i −0.200421 + 0.0252561i
\(157\) 17.8000 2.55925i 1.42059 0.204250i 0.611181 0.791491i \(-0.290695\pi\)
0.809412 + 0.587241i \(0.199786\pi\)
\(158\) 5.83571 + 13.0791i 0.464264 + 1.04052i
\(159\) 3.60159 4.15646i 0.285625 0.329629i
\(160\) 8.70296 + 8.23227i 0.688029 + 0.650818i
\(161\) −4.18712 + 1.73361i −0.329992 + 0.136628i
\(162\) −0.213466 + 1.39801i −0.0167715 + 0.109838i
\(163\) 10.3279 + 8.94914i 0.808940 + 0.700950i 0.957651 0.287930i \(-0.0929671\pi\)
−0.148711 + 0.988881i \(0.547513\pi\)
\(164\) 18.3069 5.03021i 1.42953 0.392794i
\(165\) 0.722529 + 5.02530i 0.0562488 + 0.391219i
\(166\) −5.57105 + 1.58316i −0.432398 + 0.122877i
\(167\) 18.9515 + 2.72481i 1.46651 + 0.210852i 0.828852 0.559469i \(-0.188995\pi\)
0.637657 + 0.770321i \(0.279904\pi\)
\(168\) −2.63466 0.449458i −0.203268 0.0346764i
\(169\) −9.59748 6.16793i −0.738268 0.474456i
\(170\) −10.9485 7.17185i −0.839708 0.550056i
\(171\) −1.02461 0.300852i −0.0783538 0.0230068i
\(172\) 0.0764623 + 0.175467i 0.00583020 + 0.0133792i
\(173\) 13.5355 + 15.6208i 1.02908 + 1.18763i 0.982028 + 0.188733i \(0.0604382\pi\)
0.0470551 + 0.998892i \(0.485016\pi\)
\(174\) −1.48264 0.692791i −0.112398 0.0525203i
\(175\) 0.202262 0.442893i 0.0152896 0.0334795i
\(176\) −3.67691 8.85658i −0.277158 0.667590i
\(177\) −1.65600 + 0.486244i −0.124472 + 0.0365484i
\(178\) −2.06197 + 6.80236i −0.154551 + 0.509858i
\(179\) −23.8673 + 10.8998i −1.78392 + 0.814690i −0.810478 + 0.585770i \(0.800792\pi\)
−0.973445 + 0.228921i \(0.926480\pi\)
\(180\) −4.18118 0.675808i −0.311647 0.0503717i
\(181\) 3.64083 + 5.66525i 0.270621 + 0.421094i 0.949790 0.312887i \(-0.101296\pi\)
−0.679169 + 0.733982i \(0.737660\pi\)
\(182\) 1.09285 + 1.28367i 0.0810071 + 0.0951517i
\(183\) −7.83500 −0.579180
\(184\) 10.7824 8.23048i 0.794886 0.606759i
\(185\) −12.6685 −0.931403
\(186\) −6.24380 7.33402i −0.457817 0.537756i
\(187\) 5.66429 + 8.81380i 0.414214 + 0.644529i
\(188\) −17.1707 2.77532i −1.25231 0.202411i
\(189\) 0.859557 0.392546i 0.0625236 0.0285536i
\(190\) 0.927758 3.06064i 0.0673066 0.222042i
\(191\) −5.27688 + 1.54943i −0.381821 + 0.112113i −0.467010 0.884252i \(-0.654669\pi\)
0.0851887 + 0.996365i \(0.472851\pi\)
\(192\) 7.96729 0.722722i 0.574989 0.0521580i
\(193\) 1.62304 3.55397i 0.116829 0.255820i −0.842179 0.539197i \(-0.818728\pi\)
0.959008 + 0.283377i \(0.0914549\pi\)
\(194\) 15.8886 + 7.42426i 1.14074 + 0.533031i
\(195\) 1.74950 + 2.01903i 0.125284 + 0.144586i
\(196\) −4.87935 11.1972i −0.348525 0.799799i
\(197\) 1.52408 + 0.447509i 0.108586 + 0.0318837i 0.335574 0.942014i \(-0.391070\pi\)
−0.226988 + 0.973898i \(0.572888\pi\)
\(198\) 2.83609 + 1.85780i 0.201552 + 0.132028i
\(199\) −18.0798 11.6192i −1.28164 0.823661i −0.290551 0.956859i \(-0.593839\pi\)
−0.991089 + 0.133199i \(0.957475\pi\)
\(200\) −0.245078 + 1.43661i −0.0173296 + 0.101584i
\(201\) −5.57931 0.802184i −0.393534 0.0565817i
\(202\) −20.2154 + 5.74474i −1.42235 + 0.404198i
\(203\) 0.155619 + 1.08236i 0.0109223 + 0.0759665i
\(204\) −8.42801 + 2.31578i −0.590079 + 0.162137i
\(205\) −15.1927 13.1646i −1.06111 0.919455i
\(206\) −3.33532 + 21.8433i −0.232382 + 1.52190i
\(207\) −1.51522 + 4.55018i −0.105315 + 0.316259i
\(208\) −4.14731 2.87455i −0.287564 0.199315i
\(209\) −1.67649 + 1.93478i −0.115965 + 0.133831i
\(210\) 1.15314 + 2.58445i 0.0795744 + 0.178344i
\(211\) 4.28485 0.616068i 0.294981 0.0424119i 0.00676454 0.999977i \(-0.497847\pi\)
0.288217 + 0.957565i \(0.406938\pi\)
\(212\) 10.9133 1.37524i 0.749526 0.0944516i
\(213\) 1.33583 9.29088i 0.0915293 0.636600i
\(214\) 2.08619 + 15.4663i 0.142609 + 1.05725i
\(215\) 0.109571 0.170496i 0.00747269 0.0116277i
\(216\) −2.18531 + 1.79566i −0.148692 + 0.122179i
\(217\) −1.81318 + 6.17513i −0.123087 + 0.419195i
\(218\) −10.8742 17.2496i −0.736495 1.16829i
\(219\) −7.91021 + 6.85423i −0.534522 + 0.463166i
\(220\) −5.63782 + 8.44498i −0.380102 + 0.569361i
\(221\) 5.01490 + 2.29023i 0.337339 + 0.154058i
\(222\) −5.59567 + 6.34506i −0.375557 + 0.425853i
\(223\) 3.80683 + 12.9649i 0.254924 + 0.868192i 0.983142 + 0.182846i \(0.0585309\pi\)
−0.728218 + 0.685346i \(0.759651\pi\)
\(224\) −3.32106 4.18860i −0.221898 0.279862i
\(225\) −0.214045 0.468694i −0.0142697 0.0312463i
\(226\) −0.129278 + 14.8205i −0.00859945 + 0.985848i
\(227\) 2.15696 1.38620i 0.143163 0.0920050i −0.467099 0.884205i \(-0.654701\pi\)
0.610261 + 0.792200i \(0.291064\pi\)
\(228\) −1.12315 1.81656i −0.0743821 0.120305i
\(229\) 8.47104i 0.559782i −0.960032 0.279891i \(-0.909702\pi\)
0.960032 0.279891i \(-0.0902983\pi\)
\(230\) −13.5873 4.65664i −0.895918 0.307050i
\(231\) 2.26540i 0.149052i
\(232\) −1.28130 3.01180i −0.0841214 0.197735i
\(233\) −13.4761 + 8.66059i −0.882852 + 0.567374i −0.901658 0.432449i \(-0.857650\pi\)
0.0188069 + 0.999823i \(0.494013\pi\)
\(234\) 1.78400 + 0.0155617i 0.116624 + 0.00101730i
\(235\) 7.65086 + 16.7530i 0.499087 + 1.09285i
\(236\) −3.11439 1.48849i −0.202729 0.0968925i
\(237\) −2.85315 9.71695i −0.185332 0.631184i
\(238\) 4.38017 + 3.86284i 0.283924 + 0.250391i
\(239\) 4.27578 + 1.95268i 0.276577 + 0.126309i 0.548875 0.835904i \(-0.315056\pi\)
−0.272298 + 0.962213i \(0.587784\pi\)
\(240\) −5.32055 6.59148i −0.343440 0.425478i
\(241\) 3.35690 2.90877i 0.216237 0.187370i −0.540006 0.841661i \(-0.681578\pi\)
0.756243 + 0.654291i \(0.227033\pi\)
\(242\) −6.28386 + 3.96137i −0.403942 + 0.254646i
\(243\) 0.281733 0.959493i 0.0180732 0.0615515i
\(244\) −11.6618 10.4667i −0.746569 0.670062i
\(245\) −6.99215 + 10.8800i −0.446712 + 0.695097i
\(246\) −13.3042 + 1.79456i −0.848246 + 0.114417i
\(247\) −0.191718 + 1.33343i −0.0121987 + 0.0848441i
\(248\) 0.504036 19.2571i 0.0320063 1.22283i
\(249\) 4.05362 0.582823i 0.256888 0.0369349i
\(250\) 15.0843 6.73038i 0.954015 0.425667i
\(251\) 15.4841 17.8696i 0.977349 1.12792i −0.0144217 0.999896i \(-0.504591\pi\)
0.991771 0.128025i \(-0.0408638\pi\)
\(252\) 1.80378 + 0.563998i 0.113628 + 0.0355286i
\(253\) 8.41369 + 7.83583i 0.528964 + 0.492635i
\(254\) −9.70726 1.48223i −0.609087 0.0930032i
\(255\) 6.99434 + 6.06063i 0.438003 + 0.379532i
\(256\) 12.8242 + 9.56770i 0.801510 + 0.597981i
\(257\) 0.390049 + 2.71285i 0.0243306 + 0.169223i 0.998364 0.0571824i \(-0.0182117\pi\)
−0.974033 + 0.226405i \(0.927303\pi\)
\(258\) −0.0369962 0.130188i −0.00230328 0.00810513i
\(259\) 5.59526 + 0.804477i 0.347673 + 0.0499878i
\(260\) −0.0932080 + 5.34231i −0.00578051 + 0.331316i
\(261\) 0.973489 + 0.625624i 0.0602575 + 0.0387251i
\(262\) −10.1948 + 15.5633i −0.629840 + 0.961505i
\(263\) 13.7677 + 4.04255i 0.848950 + 0.249274i 0.677138 0.735856i \(-0.263220\pi\)
0.171812 + 0.985130i \(0.445038\pi\)
\(264\) 1.73949 + 6.55389i 0.107058 + 0.403364i
\(265\) −7.62717 8.80223i −0.468533 0.540716i
\(266\) −0.604120 + 1.29287i −0.0370410 + 0.0792712i
\(267\) 2.08793 4.57192i 0.127779 0.279797i
\(268\) −7.23274 8.64733i −0.441810 0.528220i
\(269\) 14.8692 4.36600i 0.906593 0.266200i 0.204987 0.978765i \(-0.434285\pi\)
0.701606 + 0.712565i \(0.252467\pi\)
\(270\) 2.86613 + 0.868797i 0.174427 + 0.0528733i
\(271\) 2.17612 0.993803i 0.132190 0.0603692i −0.348222 0.937412i \(-0.613214\pi\)
0.480412 + 0.877043i \(0.340487\pi\)
\(272\) −15.6381 7.81204i −0.948197 0.473674i
\(273\) −0.644487 1.00284i −0.0390061 0.0606947i
\(274\) 13.3453 11.3615i 0.806219 0.686372i
\(275\) −1.23526 −0.0744893
\(276\) −8.33382 + 4.74842i −0.501637 + 0.285821i
\(277\) −1.68672 −0.101345 −0.0506725 0.998715i \(-0.516136\pi\)
−0.0506725 + 0.998715i \(0.516136\pi\)
\(278\) 10.2179 8.69895i 0.612827 0.521728i
\(279\) 3.68217 + 5.72957i 0.220446 + 0.343021i
\(280\) −1.73618 + 5.38723i −0.103757 + 0.321948i
\(281\) 5.73410 2.61867i 0.342068 0.156217i −0.236972 0.971516i \(-0.576155\pi\)
0.579040 + 0.815299i \(0.303428\pi\)
\(282\) 11.7702 + 3.56787i 0.700908 + 0.212463i
\(283\) 0.0167344 0.00491366i 0.000994756 0.000292087i −0.281235 0.959639i \(-0.590744\pi\)
0.282230 + 0.959347i \(0.408926\pi\)
\(284\) 14.3999 12.0442i 0.854474 0.714693i
\(285\) −0.939436 + 2.05708i −0.0556474 + 0.121851i
\(286\) 1.81063 3.87493i 0.107065 0.229129i
\(287\) 5.87418 + 6.77917i 0.346742 + 0.400162i
\(288\) −5.65148 0.246636i −0.333016 0.0145332i
\(289\) 2.01355 + 0.591231i 0.118444 + 0.0347783i
\(290\) −1.89905 + 2.89906i −0.111516 + 0.170239i
\(291\) −10.4324 6.70447i −0.611556 0.393023i
\(292\) −20.9302 0.365172i −1.22485 0.0213701i
\(293\) −19.0155 2.73401i −1.11090 0.159723i −0.437653 0.899144i \(-0.644190\pi\)
−0.673243 + 0.739421i \(0.735099\pi\)
\(294\) 2.36086 + 8.30776i 0.137688 + 0.484519i
\(295\) 0.520159 + 3.61779i 0.0302848 + 0.210636i
\(296\) −16.8050 + 1.96893i −0.976772 + 0.114442i
\(297\) −1.81182 1.56995i −0.105132 0.0910976i
\(298\) −31.4426 4.80105i −1.82142 0.278118i
\(299\) 5.95378 + 1.07512i 0.344316 + 0.0621759i
\(300\) 0.307534 0.983556i 0.0177555 0.0567856i
\(301\) −0.0592211 + 0.0683448i −0.00341345 + 0.00393933i
\(302\) 9.00166 4.01640i 0.517987 0.231118i
\(303\) 14.7092 2.11486i 0.845021 0.121496i
\(304\) 0.755010 4.20420i 0.0433028 0.241128i
\(305\) −2.36134 + 16.4235i −0.135210 + 0.940405i
\(306\) 6.12491 0.826166i 0.350138 0.0472288i
\(307\) −3.33371 + 5.18735i −0.190265 + 0.296058i −0.923260 0.384176i \(-0.874485\pi\)
0.732995 + 0.680234i \(0.238122\pi\)
\(308\) 3.02633 3.37187i 0.172441 0.192130i
\(309\) 4.40195 14.9917i 0.250418 0.852847i
\(310\) −17.2551 + 10.8777i −0.980023 + 0.617811i
\(311\) −2.81329 + 2.43773i −0.159527 + 0.138231i −0.730967 0.682413i \(-0.760930\pi\)
0.571440 + 0.820644i \(0.306385\pi\)
\(312\) 2.63456 + 2.40639i 0.149152 + 0.136235i
\(313\) −16.7604 7.65424i −0.947356 0.432643i −0.119031 0.992891i \(-0.537979\pi\)
−0.828325 + 0.560247i \(0.810706\pi\)
\(314\) −19.0741 16.8213i −1.07641 0.949282i
\(315\) −0.563787 1.92008i −0.0317658 0.108184i
\(316\) 8.73408 18.2744i 0.491330 1.02802i
\(317\) 3.76295 + 8.23971i 0.211348 + 0.462788i 0.985383 0.170355i \(-0.0544915\pi\)
−0.774034 + 0.633144i \(0.781764\pi\)
\(318\) −7.77758 0.0678430i −0.436145 0.00380445i
\(319\) 2.33382 1.49986i 0.130669 0.0839758i
\(320\) 0.886260 16.9186i 0.0495435 0.945777i
\(321\) 11.0354i 0.615934i
\(322\) 5.70537 + 2.91952i 0.317948 + 0.162698i
\(323\) 4.66677i 0.259666i
\(324\) 1.70111 1.05177i 0.0945063 0.0584315i
\(325\) −0.546824 + 0.351422i −0.0303323 + 0.0194934i
\(326\) 0.168574 19.3255i 0.00933647 1.07034i
\(327\) 5.98974 + 13.1157i 0.331233 + 0.725300i
\(328\) −22.1996 15.1019i −1.22577 0.833863i
\(329\) −2.31529 7.88515i −0.127646 0.434722i
\(330\) 4.74900 5.38501i 0.261424 0.296435i
\(331\) 27.5872 + 12.5987i 1.51633 + 0.692486i 0.987699 0.156365i \(-0.0499776\pi\)
0.528633 + 0.848851i \(0.322705\pi\)
\(332\) 6.81208 + 4.54770i 0.373862 + 0.249588i
\(333\) 4.52098 3.91745i 0.247748 0.214675i
\(334\) −14.4397 22.9055i −0.790105 1.25333i
\(335\) −3.36302 + 11.4534i −0.183741 + 0.625766i
\(336\) 1.93135 + 3.24912i 0.105364 + 0.177254i
\(337\) −9.14708 + 14.2331i −0.498273 + 0.775328i −0.995745 0.0921521i \(-0.970625\pi\)
0.497472 + 0.867480i \(0.334262\pi\)
\(338\) 2.15674 + 15.9893i 0.117311 + 0.869705i
\(339\) 1.49147 10.3734i 0.0810058 0.563407i
\(340\) 2.31420 + 18.3644i 0.125505 + 0.995952i
\(341\) 16.1618 2.32371i 0.875208 0.125836i
\(342\) 0.615349 + 1.37914i 0.0332743 + 0.0745752i
\(343\) 8.11080 9.36036i 0.437942 0.505412i
\(344\) 0.118850 0.243197i 0.00640798 0.0131123i
\(345\) 9.08126 + 4.54750i 0.488919 + 0.244829i
\(346\) 4.41218 28.8958i 0.237200 1.55345i
\(347\) 22.2012 + 19.2374i 1.19182 + 1.03272i 0.998670 + 0.0515488i \(0.0164158\pi\)
0.193150 + 0.981169i \(0.438130\pi\)
\(348\) 0.613199 + 2.23167i 0.0328709 + 0.119630i
\(349\) −0.283645 1.97280i −0.0151832 0.105601i 0.980821 0.194913i \(-0.0624424\pi\)
−0.996004 + 0.0893116i \(0.971533\pi\)
\(350\) −0.662344 + 0.188222i −0.0354038 + 0.0100609i
\(351\) −1.24869 0.179534i −0.0666500 0.00958282i
\(352\) −6.16619 + 12.0787i −0.328659 + 0.643798i
\(353\) −19.5836 12.5856i −1.04233 0.669864i −0.0967675 0.995307i \(-0.530850\pi\)
−0.945562 + 0.325443i \(0.894487\pi\)
\(354\) 2.04174 + 1.33746i 0.108517 + 0.0710850i
\(355\) −19.0726 5.60023i −1.01227 0.297229i
\(356\) 9.21530 4.01571i 0.488410 0.212832i
\(357\) −2.70432 3.12095i −0.143128 0.165178i
\(358\) 33.6177 + 15.7085i 1.77675 + 0.830220i
\(359\) −10.5117 + 23.0173i −0.554785 + 1.21481i 0.399726 + 0.916634i \(0.369105\pi\)
−0.954511 + 0.298175i \(0.903622\pi\)
\(360\) 3.10539 + 5.12196i 0.163668 + 0.269951i
\(361\) 17.1362 5.03165i 0.901906 0.264824i
\(362\) 2.76275 9.11420i 0.145207 0.479032i
\(363\) 4.77792 2.18200i 0.250776 0.114525i
\(364\) 0.380417 2.35362i 0.0199393 0.123363i
\(365\) 11.9836 + 18.6469i 0.627251 + 0.976021i
\(366\) 7.18278 + 8.43696i 0.375450 + 0.441007i
\(367\) −28.7583 −1.50117 −0.750585 0.660774i \(-0.770228\pi\)
−0.750585 + 0.660774i \(0.770228\pi\)
\(368\) −18.7476 4.06541i −0.977286 0.211924i
\(369\) 9.49270 0.494170
\(370\) 11.6139 + 13.6418i 0.603776 + 0.709201i
\(371\) 2.80972 + 4.37202i 0.145874 + 0.226984i
\(372\) −2.17345 + 13.4470i −0.112688 + 0.697194i
\(373\) 26.3663 12.0411i 1.36520 0.623465i 0.408021 0.912972i \(-0.366219\pi\)
0.957176 + 0.289508i \(0.0934916\pi\)
\(374\) 4.29819 14.1796i 0.222254 0.733208i
\(375\) −11.2067 + 3.29057i −0.578710 + 0.169924i
\(376\) 12.7528 + 21.0342i 0.657676 + 1.08476i
\(377\) 0.606433 1.32790i 0.0312329 0.0683905i
\(378\) −1.21071 0.565727i −0.0622721 0.0290978i
\(379\) −23.9479 27.6374i −1.23012 1.41964i −0.874512 0.485003i \(-0.838818\pi\)
−0.355611 0.934634i \(-0.615727\pi\)
\(380\) −4.14631 + 1.80682i −0.212701 + 0.0926878i
\(381\) 6.66236 + 1.95624i 0.341323 + 0.100221i
\(382\) 6.50608 + 4.26184i 0.332880 + 0.218055i
\(383\) 1.24968 + 0.803122i 0.0638558 + 0.0410376i 0.572179 0.820129i \(-0.306098\pi\)
−0.508323 + 0.861166i \(0.669735\pi\)
\(384\) −8.08230 7.91684i −0.412448 0.404005i
\(385\) −4.74866 0.682754i −0.242014 0.0347964i
\(386\) −5.31494 + 1.51038i −0.270524 + 0.0768762i
\(387\) 0.0136197 + 0.0947273i 0.000692330 + 0.00481526i
\(388\) −6.57132 23.9156i −0.333608 1.21413i
\(389\) −14.1692 12.2777i −0.718406 0.622503i 0.216961 0.976180i \(-0.430386\pi\)
−0.935367 + 0.353678i \(0.884931\pi\)
\(390\) 0.570288 3.73487i 0.0288776 0.189123i
\(391\) 20.9452 + 0.751276i 1.05925 + 0.0379937i
\(392\) −7.58429 + 15.5193i −0.383064 + 0.783843i
\(393\) 8.61524 9.94252i 0.434581 0.501534i
\(394\) −0.915314 2.05143i −0.0461129 0.103349i
\(395\) −21.2282 + 3.05216i −1.06811 + 0.153571i
\(396\) −0.599470 4.75713i −0.0301245 0.239055i
\(397\) −3.93029 + 27.3358i −0.197256 + 1.37194i 0.614948 + 0.788568i \(0.289177\pi\)
−0.812203 + 0.583374i \(0.801732\pi\)
\(398\) 4.06287 + 30.1207i 0.203653 + 1.50982i
\(399\) 0.545550 0.848892i 0.0273116 0.0424977i
\(400\) 1.77166 1.05311i 0.0885831 0.0526557i
\(401\) −10.1786 + 34.6652i −0.508296 + 1.73110i 0.159920 + 0.987130i \(0.448877\pi\)
−0.668216 + 0.743968i \(0.732942\pi\)
\(402\) 4.25105 + 6.74337i 0.212023 + 0.336329i
\(403\) 6.49337 5.62653i 0.323458 0.280278i
\(404\) 24.7187 + 16.5020i 1.22980 + 0.821008i
\(405\) −1.92635 0.879733i −0.0957210 0.0437143i
\(406\) 1.02285 1.15983i 0.0507630 0.0575614i
\(407\) −4.04043 13.7605i −0.200277 0.682080i
\(408\) 10.2201 + 6.95252i 0.505971 + 0.344201i
\(409\) 13.2429 + 28.9980i 0.654820 + 1.43386i 0.887271 + 0.461248i \(0.152598\pi\)
−0.232451 + 0.972608i \(0.574674\pi\)
\(410\) −0.247980 + 28.4287i −0.0122469 + 1.40399i
\(411\) −10.4258 + 6.70024i −0.514266 + 0.330498i
\(412\) 26.5792 16.4334i 1.30946 0.809616i
\(413\) 1.63090i 0.0802512i
\(414\) 6.28885 2.53977i 0.309080 0.124823i
\(415\) 8.67271i 0.425727i
\(416\) 0.706661 + 7.10120i 0.0346469 + 0.348165i
\(417\) −7.98252 + 5.13006i −0.390906 + 0.251220i
\(418\) 3.62036 + 0.0315800i 0.177077 + 0.00154463i
\(419\) −5.07324 11.1088i −0.247844 0.542703i 0.744294 0.667852i \(-0.232786\pi\)
−0.992138 + 0.125150i \(0.960059\pi\)
\(420\) 1.72586 3.61105i 0.0842135 0.176201i
\(421\) −8.05061 27.4179i −0.392363 1.33626i −0.884822 0.465929i \(-0.845720\pi\)
0.492459 0.870335i \(-0.336098\pi\)
\(422\) −4.59156 4.04926i −0.223514 0.197115i
\(423\) −7.91088 3.61278i −0.384640 0.175659i
\(424\) −11.4857 10.4910i −0.557794 0.509486i
\(425\) −1.70177 + 1.47460i −0.0825482 + 0.0715284i
\(426\) −11.2293 + 7.07900i −0.544062 + 0.342979i
\(427\) 2.08586 7.10379i 0.100942 0.343776i
\(428\) 14.7420 16.4253i 0.712583 0.793946i
\(429\) −1.63509 + 2.54425i −0.0789429 + 0.122838i
\(430\) −0.284045 + 0.0383137i −0.0136979 + 0.00184765i
\(431\) 0.323258 2.24831i 0.0155708 0.108297i −0.980554 0.196250i \(-0.937123\pi\)
0.996125 + 0.0879531i \(0.0280326\pi\)
\(432\) 3.93702 + 0.707027i 0.189420 + 0.0340169i
\(433\) 24.1866 3.47750i 1.16233 0.167118i 0.465964 0.884804i \(-0.345708\pi\)
0.696367 + 0.717686i \(0.254798\pi\)
\(434\) 8.31180 3.70860i 0.398979 0.178018i
\(435\) 1.60480 1.85204i 0.0769445 0.0887986i
\(436\) −8.60587 + 27.5233i −0.412146 + 1.31813i
\(437\) 1.26577 + 4.96241i 0.0605500 + 0.237384i
\(438\) 14.6326 + 2.23429i 0.699171 + 0.106758i
\(439\) −30.4256 26.3640i −1.45214 1.25828i −0.907792 0.419421i \(-0.862233\pi\)
−0.544344 0.838862i \(-0.683221\pi\)
\(440\) 14.2623 1.67102i 0.679928 0.0796627i
\(441\) −0.869127 6.04491i −0.0413870 0.287853i
\(442\) −2.13125 7.49977i −0.101373 0.356728i
\(443\) 25.8133 + 3.71139i 1.22642 + 0.176333i 0.724927 0.688826i \(-0.241873\pi\)
0.501498 + 0.865159i \(0.332783\pi\)
\(444\) 11.9624 + 0.208710i 0.567711 + 0.00990492i
\(445\) −8.95424 5.75454i −0.424472 0.272791i
\(446\) 10.4710 15.9849i 0.495817 0.756907i
\(447\) 21.5799 + 6.33644i 1.02070 + 0.299703i
\(448\) −1.46580 + 7.41613i −0.0692527 + 0.350379i
\(449\) 23.8128 + 27.4814i 1.12379 + 1.29693i 0.950037 + 0.312139i \(0.101045\pi\)
0.173757 + 0.984789i \(0.444409\pi\)
\(450\) −0.308476 + 0.660168i −0.0145417 + 0.0311206i
\(451\) 9.45384 20.7010i 0.445164 0.974773i
\(452\) 16.0777 13.4476i 0.756231 0.632522i
\(453\) −6.68765 + 1.96367i −0.314213 + 0.0922613i
\(454\) −3.47010 1.05188i −0.162860 0.0493670i
\(455\) −2.29636 + 1.04871i −0.107655 + 0.0491644i
\(456\) −0.926475 + 2.87478i −0.0433862 + 0.134624i
\(457\) −17.1307 26.6558i −0.801339 1.24691i −0.965482 0.260471i \(-0.916122\pi\)
0.164143 0.986437i \(-0.447514\pi\)
\(458\) −9.12186 + 7.76587i −0.426236 + 0.362875i
\(459\) −4.37019 −0.203983
\(460\) 7.44180 + 18.9002i 0.346976 + 0.881224i
\(461\) −17.2187 −0.801953 −0.400976 0.916088i \(-0.631329\pi\)
−0.400976 + 0.916088i \(0.631329\pi\)
\(462\) −2.43945 + 2.07682i −0.113493 + 0.0966223i
\(463\) 1.48418 + 2.30942i 0.0689756 + 0.107328i 0.874028 0.485876i \(-0.161499\pi\)
−0.805052 + 0.593204i \(0.797863\pi\)
\(464\) −2.06856 + 4.14083i −0.0960305 + 0.192233i
\(465\) 13.1199 5.99165i 0.608420 0.277856i
\(466\) 21.6803 + 6.57186i 1.00432 + 0.304435i
\(467\) −16.8042 + 4.93416i −0.777606 + 0.228326i −0.646369 0.763025i \(-0.723713\pi\)
−0.131237 + 0.991351i \(0.541895\pi\)
\(468\) −1.61873 1.93533i −0.0748260 0.0894606i
\(469\) 2.21266 4.84505i 0.102171 0.223724i
\(470\) 11.0262 23.5971i 0.508600 1.08845i
\(471\) 11.7764 + 13.5907i 0.542627 + 0.626225i
\(472\) 1.25228 + 4.71825i 0.0576410 + 0.217175i
\(473\) 0.220139 + 0.0646386i 0.0101220 + 0.00297208i
\(474\) −7.84785 + 11.9804i −0.360464 + 0.550279i
\(475\) −0.462879 0.297474i −0.0212383 0.0136490i
\(476\) 0.144078 8.25797i 0.00660379 0.378503i
\(477\) 5.44381 + 0.782701i 0.249255 + 0.0358374i
\(478\) −1.81714 6.39441i −0.0831139 0.292474i
\(479\) −3.16696 22.0267i −0.144702 1.00643i −0.924715 0.380661i \(-0.875696\pi\)
0.780012 0.625764i \(-0.215213\pi\)
\(480\) −2.22025 + 11.7721i −0.101340 + 0.537320i
\(481\) −5.70334 4.94197i −0.260050 0.225335i
\(482\) −6.20970 0.948176i −0.282844 0.0431882i
\(483\) −3.72214 2.58517i −0.169363 0.117629i
\(484\) 10.0265 + 3.13503i 0.455749 + 0.142501i
\(485\) −17.1978 + 19.8473i −0.780913 + 0.901222i
\(486\) −1.29149 + 0.576242i −0.0585831 + 0.0261389i
\(487\) −23.0005 + 3.30697i −1.04225 + 0.149853i −0.642119 0.766605i \(-0.721945\pi\)
−0.400131 + 0.916458i \(0.631035\pi\)
\(488\) −0.579836 + 22.1531i −0.0262480 + 1.00283i
\(489\) −1.94483 + 13.5266i −0.0879484 + 0.611695i
\(490\) 18.1260 2.44494i 0.818848 0.110451i
\(491\) 4.08591 6.35780i 0.184395 0.286924i −0.736733 0.676183i \(-0.763633\pi\)
0.921128 + 0.389260i \(0.127269\pi\)
\(492\) 14.1291 + 12.6812i 0.636991 + 0.571712i
\(493\) 1.42476 4.85229i 0.0641679 0.218536i
\(494\) 1.61163 1.01598i 0.0725108 0.0457111i
\(495\) −3.83692 + 3.32471i −0.172457 + 0.149435i
\(496\) −21.1987 + 17.1113i −0.951850 + 0.768321i
\(497\) 8.06816 + 3.68461i 0.361906 + 0.165277i
\(498\) −4.34378 3.83075i −0.194649 0.171660i
\(499\) −2.60488 8.87140i −0.116610 0.397138i 0.880416 0.474202i \(-0.157264\pi\)
−0.997026 + 0.0770642i \(0.975445\pi\)
\(500\) −21.0761 10.0731i −0.942551 0.450483i
\(501\) 7.95368 + 17.4161i 0.355344 + 0.778095i
\(502\) −33.4377 0.291673i −1.49240 0.0130180i
\(503\) 2.87051 1.84477i 0.127990 0.0822540i −0.475079 0.879943i \(-0.657581\pi\)
0.603069 + 0.797689i \(0.293944\pi\)
\(504\) −1.04630 2.45941i −0.0466058 0.109551i
\(505\) 31.4703i 1.40041i
\(506\) 0.724556 16.2436i 0.0322104 0.722118i
\(507\) 11.4085i 0.506671i
\(508\) 7.30307 + 11.8119i 0.324021 + 0.524068i
\(509\) −1.14250 + 0.734243i −0.0506406 + 0.0325447i −0.565716 0.824600i \(-0.691400\pi\)
0.515076 + 0.857145i \(0.327764\pi\)
\(510\) 0.114164 13.0878i 0.00505526 0.579539i
\(511\) −4.10867 8.99673i −0.181757 0.397992i
\(512\) −1.45384 22.5807i −0.0642513 0.997934i
\(513\) −0.300852 1.02461i −0.0132830 0.0452376i
\(514\) 2.56370 2.90704i 0.113080 0.128224i
\(515\) −30.0984 13.7455i −1.32629 0.605697i
\(516\) −0.106273 + 0.159189i −0.00467842 + 0.00700789i
\(517\) −15.7570 + 13.6535i −0.692992 + 0.600481i
\(518\) −4.26320 6.76265i −0.187314 0.297134i
\(519\) −5.82320 + 19.8320i −0.255610 + 0.870528i
\(520\) 5.83820 4.79722i 0.256022 0.210372i
\(521\) 19.6409 30.5618i 0.860484 1.33894i −0.0791877 0.996860i \(-0.525233\pi\)
0.939671 0.342079i \(-0.111131\pi\)
\(522\) −0.218762 1.62182i −0.00957495 0.0709853i
\(523\) −2.68178 + 18.6522i −0.117266 + 0.815604i 0.843278 + 0.537477i \(0.180623\pi\)
−0.960544 + 0.278127i \(0.910286\pi\)
\(524\) 26.1052 3.28965i 1.14041 0.143709i
\(525\) 0.481936 0.0692920i 0.0210334 0.00302415i
\(526\) −8.26844 18.5314i −0.360521 0.808009i
\(527\) 19.4915 22.4944i 0.849062 0.979869i
\(528\) 5.46274 7.88144i 0.237735 0.342996i
\(529\) 22.4759 4.88211i 0.977212 0.212266i
\(530\) −2.48624 + 16.2826i −0.107995 + 0.707273i
\(531\) −1.30435 1.13023i −0.0566041 0.0490478i
\(532\) 1.94603 0.534715i 0.0843712 0.0231828i
\(533\) −1.70426 11.8534i −0.0738198 0.513428i
\(534\) −6.83729 + 1.94299i −0.295879 + 0.0840815i
\(535\) −23.1320 3.32587i −1.00008 0.143790i
\(536\) −2.68104 + 15.7159i −0.115803 + 0.678824i
\(537\) −22.0731 14.1855i −0.952525 0.612151i
\(538\) −18.3329 12.0091i −0.790387 0.517748i
\(539\) −14.0479 4.12483i −0.605085 0.177669i
\(540\) −1.69199 3.88280i −0.0728117 0.167089i
\(541\) 13.5445 + 15.6312i 0.582322 + 0.672036i 0.968102 0.250555i \(-0.0806131\pi\)
−0.385780 + 0.922591i \(0.626068\pi\)
\(542\) −3.06513 1.43224i −0.131659 0.0615200i
\(543\) −2.79753 + 6.12573i −0.120053 + 0.262880i
\(544\) 5.92405 + 24.0012i 0.253991 + 1.02904i
\(545\) 29.2979 8.60264i 1.25498 0.368496i
\(546\) −0.489052 + 1.61336i −0.0209295 + 0.0690455i
\(547\) 31.3529 14.3184i 1.34055 0.612210i 0.389439 0.921052i \(-0.372669\pi\)
0.951113 + 0.308842i \(0.0999416\pi\)
\(548\) −24.4687 3.95490i −1.04525 0.168945i
\(549\) −4.23592 6.59122i −0.180785 0.281307i
\(550\) 1.13244 + 1.33017i 0.0482872 + 0.0567186i
\(551\) 1.23572 0.0526435
\(552\) 12.7533 + 4.62096i 0.542817 + 0.196681i
\(553\) 9.56968 0.406944
\(554\) 1.54631 + 1.81631i 0.0656963 + 0.0771674i
\(555\) −6.84908 10.6574i −0.290727 0.452381i
\(556\) −18.7346 3.02808i −0.794522 0.128419i
\(557\) −21.0274 + 9.60291i −0.890961 + 0.406888i −0.807669 0.589637i \(-0.799271\pi\)
−0.0832926 + 0.996525i \(0.526544\pi\)
\(558\) 2.79412 9.21769i 0.118284 0.390216i
\(559\) 0.115840 0.0340136i 0.00489949 0.00143862i
\(560\) 7.39277 3.06920i 0.312402 0.129697i
\(561\) −4.35230 + 9.53021i −0.183754 + 0.402366i
\(562\) −8.07663 3.77396i −0.340692 0.159195i
\(563\) 18.3850 + 21.2174i 0.774835 + 0.894208i 0.996725 0.0808642i \(-0.0257680\pi\)
−0.221890 + 0.975072i \(0.571223\pi\)
\(564\) −6.94845 15.9454i −0.292583 0.671422i
\(565\) −21.2949 6.25276i −0.895884 0.263055i
\(566\) −0.0206325 0.0135155i −0.000867249 0.000568097i
\(567\) 0.794943 + 0.510879i 0.0333845 + 0.0214549i
\(568\) −26.1707 4.46457i −1.09810 0.187329i
\(569\) −39.3371 5.65582i −1.64910 0.237104i −0.745814 0.666154i \(-0.767939\pi\)
−0.903281 + 0.429050i \(0.858849\pi\)
\(570\) 3.07635 0.874225i 0.128854 0.0366173i
\(571\) 4.28154 + 29.7788i 0.179177 + 1.24620i 0.858673 + 0.512524i \(0.171289\pi\)
−0.679496 + 0.733679i \(0.737802\pi\)
\(572\) −5.83254 + 1.60262i −0.243871 + 0.0670088i
\(573\) −4.15636 3.60151i −0.173634 0.150455i
\(574\) 1.91482 12.5403i 0.0799229 0.523423i
\(575\) −1.40963 + 2.02958i −0.0587855 + 0.0846395i
\(576\) 4.91543 + 6.31178i 0.204810 + 0.262991i
\(577\) −10.3545 + 11.9497i −0.431062 + 0.497472i −0.929175 0.369640i \(-0.879481\pi\)
0.498113 + 0.867112i \(0.334026\pi\)
\(578\) −1.20928 2.71026i −0.0502993 0.112732i
\(579\) 3.86727 0.556029i 0.160718 0.0231078i
\(580\) 4.86275 0.612780i 0.201915 0.0254443i
\(581\) −0.550738 + 3.83047i −0.0228485 + 0.158915i
\(582\) 2.34435 + 17.3802i 0.0971766 + 0.720434i
\(583\) 7.12838 11.0920i 0.295227 0.459383i
\(584\) 18.7947 + 22.8730i 0.777729 + 0.946493i
\(585\) −0.752666 + 2.56335i −0.0311189 + 0.105981i
\(586\) 14.4885 + 22.9828i 0.598513 + 0.949412i
\(587\) −0.396943 + 0.343953i −0.0163836 + 0.0141965i −0.663014 0.748607i \(-0.730723\pi\)
0.646630 + 0.762803i \(0.276178\pi\)
\(588\) 6.78170 10.1584i 0.279673 0.418927i
\(589\) 6.61573 + 3.02130i 0.272596 + 0.124491i
\(590\) 3.41888 3.87675i 0.140753 0.159603i
\(591\) 0.447509 + 1.52408i 0.0184081 + 0.0626921i
\(592\) 17.5263 + 16.2911i 0.720326 + 0.669560i
\(593\) 7.03113 + 15.3960i 0.288734 + 0.632239i 0.997302 0.0734029i \(-0.0233859\pi\)
−0.708568 + 0.705642i \(0.750659\pi\)
\(594\) −0.0295730 + 3.39027i −0.00121339 + 0.139105i
\(595\) −7.35707 + 4.72810i −0.301610 + 0.193833i
\(596\) 23.6552 + 38.2597i 0.968956 + 1.56718i
\(597\) 21.4915i 0.879587i
\(598\) −4.30043 7.39682i −0.175858 0.302479i
\(599\) 1.25273i 0.0511853i −0.999672 0.0255927i \(-0.991853\pi\)
0.999672 0.0255927i \(-0.00814729\pi\)
\(600\) −1.34105 + 0.570519i −0.0547483 + 0.0232913i
\(601\) −24.3462 + 15.6463i −0.993101 + 0.638228i −0.932967 0.359963i \(-0.882789\pi\)
−0.0601348 + 0.998190i \(0.519153\pi\)
\(602\) 0.127887 + 0.00111554i 0.00521228 + 4.54662e-5i
\(603\) −2.34156 5.12731i −0.0953558 0.208800i
\(604\) −12.5773 6.01119i −0.511763 0.244592i
\(605\) −3.13386 10.6729i −0.127409 0.433916i
\(606\) −15.7621 13.9005i −0.640290 0.564668i
\(607\) −2.12327 0.969663i −0.0861807 0.0393574i 0.371858 0.928290i \(-0.378721\pi\)
−0.458039 + 0.888932i \(0.651448\pi\)
\(608\) −5.21937 + 3.04121i −0.211673 + 0.123337i
\(609\) −0.826402 + 0.716081i −0.0334875 + 0.0290171i
\(610\) 19.8500 12.5135i 0.803704 0.506658i
\(611\) −3.09096 + 10.5268i −0.125047 + 0.425870i
\(612\) −6.50468 5.83809i −0.262936 0.235991i
\(613\) −3.16565 + 4.92585i −0.127859 + 0.198953i −0.899281 0.437371i \(-0.855910\pi\)
0.771422 + 0.636324i \(0.219546\pi\)
\(614\) 8.64208 1.16570i 0.348766 0.0470437i
\(615\) 2.86094 19.8983i 0.115364 0.802376i
\(616\) −6.40533 0.167653i −0.258078 0.00675493i
\(617\) 36.6252 5.26590i 1.47447 0.211997i 0.642275 0.766474i \(-0.277991\pi\)
0.832199 + 0.554477i \(0.187082\pi\)
\(618\) −20.1790 + 9.00354i −0.811718 + 0.362176i
\(619\) −31.1578 + 35.9581i −1.25234 + 1.44528i −0.404920 + 0.914352i \(0.632701\pi\)
−0.847419 + 0.530924i \(0.821845\pi\)
\(620\) 27.5321 + 8.60861i 1.10572 + 0.345730i
\(621\) −4.64704 + 1.18533i −0.186479 + 0.0475656i
\(622\) 5.20411 + 0.794629i 0.208666 + 0.0318617i
\(623\) 3.58938 + 3.11022i 0.143806 + 0.124608i
\(624\) 0.176027 5.04304i 0.00704670 0.201883i
\(625\) 3.15344 + 21.9327i 0.126138 + 0.877307i
\(626\) 7.12292 + 25.0652i 0.284689 + 1.00181i
\(627\) −2.53402 0.364337i −0.101199 0.0145502i
\(628\) −0.627408 + 35.9606i −0.0250363 + 1.43498i
\(629\) −21.9929 14.1340i −0.876913 0.563558i
\(630\) −1.55074 + 2.36735i −0.0617831 + 0.0943173i
\(631\) 7.88672 + 2.31575i 0.313965 + 0.0921885i 0.434919 0.900470i \(-0.356777\pi\)
−0.120954 + 0.992658i \(0.538595\pi\)
\(632\) −27.6854 + 7.34807i −1.10127 + 0.292290i
\(633\) 2.83483 + 3.27157i 0.112675 + 0.130033i
\(634\) 5.42305 11.6058i 0.215377 0.460927i
\(635\) 6.10854 13.3758i 0.242410 0.530804i
\(636\) 7.05708 + 8.43731i 0.279831 + 0.334561i
\(637\) −7.39216 + 2.17053i −0.292888 + 0.0859997i
\(638\) −3.75463 1.13812i −0.148647 0.0450588i
\(639\) 8.53819 3.89926i 0.337765 0.154252i
\(640\) −19.0309 + 14.5558i −0.752262 + 0.575370i
\(641\) 8.27784 + 12.8806i 0.326955 + 0.508752i 0.965351 0.260957i \(-0.0840379\pi\)
−0.638396 + 0.769708i \(0.720402\pi\)
\(642\) −11.8832 + 10.1167i −0.468993 + 0.399276i
\(643\) 18.7831 0.740731 0.370366 0.928886i \(-0.379232\pi\)
0.370366 + 0.928886i \(0.379232\pi\)
\(644\) −2.08661 8.82019i −0.0822238 0.347564i
\(645\) 0.202669 0.00798008
\(646\) 5.02532 4.27829i 0.197718 0.168327i
\(647\) −7.84057 12.2002i −0.308244 0.479638i 0.652224 0.758026i \(-0.273836\pi\)
−0.960469 + 0.278388i \(0.910200\pi\)
\(648\) −2.69208 0.867595i −0.105755 0.0340824i
\(649\) −3.76374 + 1.71884i −0.147740 + 0.0674704i
\(650\) 0.879725 + 0.266667i 0.0345056 + 0.0104596i
\(651\) −6.17513 + 1.81318i −0.242022 + 0.0710642i
\(652\) −20.9648 + 17.5352i −0.821045 + 0.686732i
\(653\) 3.45039 7.55530i 0.135024 0.295662i −0.830027 0.557723i \(-0.811675\pi\)
0.965051 + 0.262061i \(0.0844023\pi\)
\(654\) 8.63224 18.4738i 0.337547 0.722383i
\(655\) −18.2447 21.0555i −0.712879 0.822706i
\(656\) 4.08944 + 37.7499i 0.159666 + 1.47389i
\(657\) −10.0427 2.94881i −0.391804 0.115044i
\(658\) −6.36840 + 9.72192i −0.248266 + 0.379000i
\(659\) −3.39110 2.17933i −0.132099 0.0848946i 0.472923 0.881104i \(-0.343199\pi\)
−0.605021 + 0.796209i \(0.706835\pi\)
\(660\) −10.1524 0.177130i −0.395182 0.00689478i
\(661\) −29.4311 4.23155i −1.14474 0.164588i −0.456260 0.889846i \(-0.650811\pi\)
−0.688477 + 0.725258i \(0.741720\pi\)
\(662\) −11.7241 41.2566i −0.455671 1.60348i
\(663\) 0.784598 + 5.45700i 0.0304712 + 0.211932i
\(664\) −1.34791 11.5046i −0.0523092 0.446464i
\(665\) −1.61500 1.39940i −0.0626269 0.0542666i
\(666\) −8.36306 1.27698i −0.324062 0.0494819i
\(667\) 0.198932 5.54612i 0.00770266 0.214746i
\(668\) −11.4276 + 36.5478i −0.442147 + 1.41408i
\(669\) −8.84861 + 10.2118i −0.342107 + 0.394813i
\(670\) 15.4164 6.87856i 0.595588 0.265742i
\(671\) −18.5923 + 2.67316i −0.717746 + 0.103196i
\(672\) 1.72817 5.05838i 0.0666657 0.195131i
\(673\) −2.10702 + 14.6546i −0.0812196 + 0.564895i 0.908058 + 0.418845i \(0.137565\pi\)
−0.989277 + 0.146050i \(0.953344\pi\)
\(674\) 23.7123 3.19846i 0.913363 0.123200i
\(675\) 0.278569 0.433462i 0.0107221 0.0166839i
\(676\) 15.2406 16.9807i 0.586175 0.653105i
\(677\) −0.901298 + 3.06954i −0.0346397 + 0.117972i −0.974998 0.222214i \(-0.928672\pi\)
0.940358 + 0.340186i \(0.110490\pi\)
\(678\) −12.5377 + 7.90383i −0.481508 + 0.303545i
\(679\) 8.85610 7.67386i 0.339866 0.294496i
\(680\) 17.6538 19.3277i 0.676993 0.741183i
\(681\) 2.33228 + 1.06512i 0.0893733 + 0.0408154i
\(682\) −17.3186 15.2732i −0.663164 0.584840i
\(683\) −6.17175 21.0190i −0.236155 0.804271i −0.989234 0.146341i \(-0.953250\pi\)
0.753079 0.657930i \(-0.228568\pi\)
\(684\) 0.920969 1.92696i 0.0352141 0.0736790i
\(685\) 10.9027 + 23.8735i 0.416569 + 0.912159i
\(686\) −17.5151 0.152783i −0.668730 0.00583326i
\(687\) 7.12629 4.57979i 0.271885 0.174730i
\(688\) −0.370838 + 0.0949705i −0.0141381 + 0.00362072i
\(689\) 6.93813i 0.264322i
\(690\) −3.42842 13.9479i −0.130518 0.530988i
\(691\) 37.5655i 1.42906i 0.699605 + 0.714530i \(0.253360\pi\)
−0.699605 + 0.714530i \(0.746640\pi\)
\(692\) −35.1607 + 21.7392i −1.33661 + 0.826401i
\(693\) 1.90578 1.22477i 0.0723945 0.0465251i
\(694\) 0.362374 41.5428i 0.0137555 1.57694i
\(695\) 8.34765 + 18.2788i 0.316645 + 0.693355i
\(696\) 1.84097 2.70620i 0.0697817 0.102578i
\(697\) −11.6876 39.8045i −0.442701 1.50770i
\(698\) −1.86433 + 2.11401i −0.0705659 + 0.0800163i
\(699\) −14.5715 6.65458i −0.551145 0.251699i
\(700\) 0.809891 + 0.540678i 0.0306110 + 0.0204357i
\(701\) 16.8705 14.6184i 0.637191 0.552129i −0.275232 0.961378i \(-0.588755\pi\)
0.912423 + 0.409249i \(0.134209\pi\)
\(702\) 0.951412 + 1.50921i 0.0359087 + 0.0569615i
\(703\) 1.79973 6.12933i 0.0678782 0.231172i
\(704\) 18.6596 4.43330i 0.703260 0.167086i
\(705\) −9.95719 + 15.4937i −0.375009 + 0.583526i
\(706\) 4.40081 + 32.6261i 0.165627 + 1.22790i
\(707\) −1.99844 + 13.8995i −0.0751591 + 0.522743i
\(708\) −0.431568 3.42473i −0.0162193 0.128709i
\(709\) −5.30691 + 0.763018i −0.199305 + 0.0286558i −0.241244 0.970464i \(-0.577556\pi\)
0.0419392 + 0.999120i \(0.486646\pi\)
\(710\) 11.4544 + 25.6720i 0.429877 + 0.963453i
\(711\) 6.63189 7.65361i 0.248715 0.287033i
\(712\) −12.7724 6.24187i −0.478666 0.233924i
\(713\) 14.6251 29.2061i 0.547715 1.09378i
\(714\) −0.881531 + 5.77324i −0.0329905 + 0.216058i
\(715\) 4.84038 + 4.19421i 0.181020 + 0.156855i
\(716\) −13.9038 50.6013i −0.519610 1.89106i
\(717\) 0.668959 + 4.65271i 0.0249827 + 0.173759i
\(718\) 34.4224 9.78200i 1.28463 0.365061i
\(719\) −18.4090 2.64682i −0.686542 0.0987098i −0.209788 0.977747i \(-0.567277\pi\)
−0.476753 + 0.879037i \(0.658187\pi\)
\(720\) 2.66860 8.03956i 0.0994527 0.299617i
\(721\) 12.4206 + 7.98226i 0.462569 + 0.297275i
\(722\) −21.1279 13.8400i −0.786301 0.515071i
\(723\) 4.26189 + 1.25140i 0.158501 + 0.0465402i
\(724\) −12.3472 + 5.38048i −0.458880 + 0.199964i
\(725\) 0.390460 + 0.450615i 0.0145013 + 0.0167354i
\(726\) −6.72983 3.14464i −0.249767 0.116708i
\(727\) 1.68568 3.69111i 0.0625182 0.136896i −0.875794 0.482685i \(-0.839662\pi\)
0.938312 + 0.345789i \(0.112389\pi\)
\(728\) −2.88319 + 1.74804i −0.106858 + 0.0647869i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) 9.09344 29.9989i 0.336563 1.11031i
\(731\) 0.380438 0.173740i 0.0140710 0.00642602i
\(732\) 2.50031 15.4692i 0.0924140 0.571760i
\(733\) −1.04203 1.62143i −0.0384883 0.0598889i 0.821476 0.570243i \(-0.193151\pi\)
−0.859965 + 0.510354i \(0.829514\pi\)
\(734\) 26.3643 + 30.9678i 0.973124 + 1.14304i
\(735\) −12.9331 −0.477043
\(736\) 12.8092 + 23.9149i 0.472153 + 0.881516i
\(737\) −13.5133 −0.497767
\(738\) −8.70248 10.2220i −0.320343 0.376277i
\(739\) 12.5174 + 19.4774i 0.460460 + 0.716489i 0.991392 0.130925i \(-0.0417947\pi\)
−0.530933 + 0.847414i \(0.678158\pi\)
\(740\) 4.04276 25.0123i 0.148615 0.919470i
\(741\) −1.22540 + 0.559623i −0.0450163 + 0.0205582i
\(742\) 2.13208 7.03366i 0.0782712 0.258214i
\(743\) 19.4198 5.70218i 0.712445 0.209193i 0.0946256 0.995513i \(-0.469835\pi\)
0.617819 + 0.786320i \(0.288016\pi\)
\(744\) 16.4726 9.98717i 0.603916 0.366147i
\(745\) 19.7860 43.3254i 0.724905 1.58732i
\(746\) −37.1377 17.3533i −1.35971 0.635349i
\(747\) 2.68185 + 3.09502i 0.0981239 + 0.113241i
\(748\) −19.2094 + 8.37077i −0.702364 + 0.306066i
\(749\) 10.0055 + 2.93787i 0.365592 + 0.107347i
\(750\) 13.8171 + 9.05101i 0.504531 + 0.330496i
\(751\) 36.8288 + 23.6685i 1.34390 + 0.863674i 0.997235 0.0743137i \(-0.0236766\pi\)
0.346668 + 0.937988i \(0.387313\pi\)
\(752\) 10.9591 33.0158i 0.399636 1.20396i
\(753\) 23.4042 + 3.36502i 0.852898 + 0.122628i
\(754\) −1.98588 + 0.564338i −0.0723213 + 0.0205520i
\(755\) 2.10064 + 14.6102i 0.0764500 + 0.531721i
\(756\) 0.500733 + 1.82236i 0.0182115 + 0.0662785i
\(757\) 22.5761 + 19.5623i 0.820541 + 0.711003i 0.960235 0.279191i \(-0.0900664\pi\)
−0.139694 + 0.990195i \(0.544612\pi\)
\(758\) −7.80634 + 51.1245i −0.283539 + 1.85693i
\(759\) −2.04314 + 11.3144i −0.0741612 + 0.410687i
\(760\) 5.74678 + 2.80845i 0.208458 + 0.101873i
\(761\) −7.41332 + 8.55543i −0.268733 + 0.310134i −0.874036 0.485861i \(-0.838506\pi\)
0.605304 + 0.795995i \(0.293052\pi\)
\(762\) −4.00121 8.96762i −0.144949 0.324862i
\(763\) −13.4863 + 1.93903i −0.488235 + 0.0701976i
\(764\) −1.37520 10.9130i −0.0497531 0.394818i
\(765\) −1.31710 + 9.16064i −0.0476199 + 0.331204i
\(766\) −0.280828 2.08196i −0.0101467 0.0752242i
\(767\) −1.17713 + 1.83164i −0.0425035 + 0.0661368i
\(768\) −1.11560 + 15.9611i −0.0402556 + 0.575945i
\(769\) −15.0900 + 51.3918i −0.544159 + 1.85324i −0.0230698 + 0.999734i \(0.507344\pi\)
−0.521089 + 0.853502i \(0.674474\pi\)
\(770\) 3.61815 + 5.73941i 0.130389 + 0.206834i
\(771\) −2.07132 + 1.79481i −0.0745968 + 0.0646385i
\(772\) 6.49892 + 4.33864i 0.233901 + 0.156151i
\(773\) −2.34440 1.07065i −0.0843221 0.0385086i 0.372808 0.927909i \(-0.378395\pi\)
−0.457130 + 0.889400i \(0.651122\pi\)
\(774\) 0.0895191 0.101508i 0.00321770 0.00364863i
\(775\) 0.988681 + 3.36714i 0.0355145 + 0.120951i
\(776\) −19.7287 + 29.0009i −0.708218 + 1.04107i
\(777\) 2.34826 + 5.14197i 0.0842433 + 0.184467i
\(778\) −0.231274 + 26.5134i −0.00829156 + 0.950552i
\(779\) 8.52772 5.48043i 0.305537 0.196357i
\(780\) −4.54463 + 2.80986i −0.162724 + 0.100609i
\(781\) 22.5028i 0.805213i
\(782\) −18.3926 23.2432i −0.657720 0.831173i
\(783\) 1.15719i 0.0413546i
\(784\) 23.6646 6.06042i 0.845163 0.216444i
\(785\) 32.0375 20.5892i 1.14347 0.734861i
\(786\) −18.6045 0.162285i −0.663599 0.00578850i
\(787\) −3.33732 7.30772i −0.118963 0.260492i 0.840778 0.541381i \(-0.182098\pi\)
−0.959740 + 0.280889i \(0.909371\pi\)
\(788\) −1.36992 + 2.86629i −0.0488012 + 0.102107i
\(789\) 4.04255 + 13.7677i 0.143919 + 0.490142i
\(790\) 22.7477 + 20.0611i 0.809329 + 0.713742i
\(791\) 9.00825 + 4.11393i 0.320296 + 0.146274i
\(792\) −4.57305 + 5.00665i −0.162496 + 0.177904i
\(793\) −7.46988 + 6.47269i −0.265263 + 0.229852i
\(794\) 33.0390 20.8279i 1.17251 0.739156i
\(795\) 3.28134 11.1752i 0.116377 0.396345i
\(796\) 28.7102 31.9884i 1.01761 1.13380i
\(797\) −0.383882 + 0.597333i −0.0135978 + 0.0211586i −0.847986 0.530019i \(-0.822185\pi\)
0.834388 + 0.551177i \(0.185821\pi\)
\(798\) −1.41425 + 0.190762i −0.0500638 + 0.00675291i
\(799\) −5.40891 + 37.6198i −0.191353 + 1.33089i
\(800\) −2.75820 0.942328i −0.0975172 0.0333163i
\(801\) 4.97496 0.715292i 0.175782 0.0252736i
\(802\) 46.6598 20.8189i 1.64761 0.735140i
\(803\) −16.4322 + 18.9637i −0.579879 + 0.669216i
\(804\) 3.36428 10.7597i 0.118649 0.379464i
\(805\) −6.54074 + 7.02309i −0.230531 + 0.247531i
\(806\) −12.0116 1.83409i −0.423092 0.0646030i
\(807\) 11.7118 + 10.1484i 0.412276 + 0.357239i
\(808\) −4.89112 41.7461i −0.172069 1.46862i
\(809\) −5.09168 35.4134i −0.179014 1.24507i −0.859051 0.511891i \(-0.828945\pi\)
0.680037 0.733178i \(-0.261964\pi\)
\(810\) 0.818666 + 2.88085i 0.0287650 + 0.101223i
\(811\) 50.6158 + 7.27745i 1.77736 + 0.255546i 0.951351 0.308109i \(-0.0996961\pi\)
0.826010 + 0.563655i \(0.190605\pi\)
\(812\) −2.18664 0.0381505i −0.0767360 0.00133882i
\(813\) 2.01254 + 1.29338i 0.0705829 + 0.0453609i
\(814\) −11.1136 + 16.9658i −0.389530 + 0.594652i
\(815\) 27.7679 + 8.15339i 0.972667 + 0.285601i
\(816\) −1.88267 17.3791i −0.0659067 0.608389i
\(817\) 0.0669243 + 0.0772348i 0.00234138 + 0.00270210i
\(818\) 19.0853 40.8444i 0.667302 1.42809i
\(819\) 0.495208 1.08435i 0.0173040 0.0378904i
\(820\) 30.8402 25.7951i 1.07699 0.900804i
\(821\) 43.2092 12.6874i 1.50801 0.442792i 0.579772 0.814779i \(-0.303142\pi\)
0.928238 + 0.371987i \(0.121323\pi\)
\(822\) 16.7729 + 5.08430i 0.585022 + 0.177335i
\(823\) 33.7260 15.4021i 1.17561 0.536885i 0.270777 0.962642i \(-0.412719\pi\)
0.904837 + 0.425757i \(0.139992\pi\)
\(824\) −42.0626 13.5558i −1.46532 0.472239i
\(825\) −0.667835 1.03917i −0.0232510 0.0361793i
\(826\) −1.75620 + 1.49513i −0.0611059 + 0.0520223i
\(827\) 6.05748 0.210639 0.105320 0.994438i \(-0.466413\pi\)
0.105320 + 0.994438i \(0.466413\pi\)
\(828\) −8.50023 4.44367i −0.295403 0.154428i
\(829\) 15.6646 0.544054 0.272027 0.962290i \(-0.412306\pi\)
0.272027 + 0.962290i \(0.412306\pi\)
\(830\) −9.33903 + 7.95075i −0.324162 + 0.275975i
\(831\) −0.911908 1.41896i −0.0316337 0.0492231i
\(832\) 6.99894 7.27101i 0.242645 0.252077i
\(833\) −24.2772 + 11.0870i −0.841156 + 0.384143i
\(834\) 12.8422 + 3.89281i 0.444689 + 0.134797i
\(835\) 38.9042 11.4233i 1.34634 0.395320i
\(836\) −3.28497 3.92745i −0.113613 0.135834i
\(837\) −2.82929 + 6.19528i −0.0977946 + 0.214140i
\(838\) −7.31141 + 15.6471i −0.252568 + 0.540520i
\(839\) −10.9114 12.5924i −0.376702 0.434738i 0.535464 0.844558i \(-0.320137\pi\)
−0.912166 + 0.409821i \(0.865591\pi\)
\(840\) −5.47067 + 1.45199i −0.188756 + 0.0500983i
\(841\) 26.5405 + 7.79298i 0.915188 + 0.268723i
\(842\) −22.1439 + 33.8046i −0.763129 + 1.16498i
\(843\) 5.30306 + 3.40807i 0.182647 + 0.117380i
\(844\) −0.151031 + 8.65650i −0.00519870 + 0.297969i
\(845\) −23.9142 3.43834i −0.822674 0.118283i
\(846\) 3.36200 + 11.8307i 0.115588 + 0.406748i
\(847\) 0.706370 + 4.91291i 0.0242712 + 0.168810i
\(848\) −0.767410 + 21.9858i −0.0263530 + 0.754994i
\(849\) 0.0131809 + 0.0114213i 0.000452368 + 0.000391979i
\(850\) 3.14800 + 0.480676i 0.107975 + 0.0164871i
\(851\) −27.2197 9.06422i −0.933079 0.310717i
\(852\) 17.9174 + 5.60233i 0.613840 + 0.191933i
\(853\) 0.0478926 0.0552710i 0.00163981 0.00189244i −0.754929 0.655806i \(-0.772329\pi\)
0.756569 + 0.653914i \(0.226874\pi\)
\(854\) −9.56178 + 4.26632i −0.327197 + 0.145990i
\(855\) −2.23842 + 0.321837i −0.0765524 + 0.0110066i
\(856\) −31.2020 0.816682i −1.06646 0.0279136i
\(857\) 0.759199 5.28034i 0.0259337 0.180373i −0.972737 0.231909i \(-0.925503\pi\)
0.998671 + 0.0515363i \(0.0164118\pi\)
\(858\) 4.23870 0.571742i 0.144707 0.0195190i
\(859\) −6.66683 + 10.3738i −0.227469 + 0.353949i −0.936162 0.351568i \(-0.885649\pi\)
0.708693 + 0.705517i \(0.249285\pi\)
\(860\) 0.301657 + 0.270743i 0.0102864 + 0.00923227i
\(861\) −2.52718 + 8.60677i −0.0861259 + 0.293318i
\(862\) −2.71739 + 1.71306i −0.0925548 + 0.0583469i
\(863\) 23.2098 20.1114i 0.790069 0.684599i −0.163243 0.986586i \(-0.552195\pi\)
0.953312 + 0.301987i \(0.0976499\pi\)
\(864\) −2.84793 4.88767i −0.0968887 0.166282i
\(865\) 39.8161 + 18.1834i 1.35379 + 0.618255i
\(866\) −25.9178 22.8568i −0.880723 0.776704i
\(867\) 0.591231 + 2.01355i 0.0200793 + 0.0683837i
\(868\) −11.6134 5.55051i −0.394185 0.188397i
\(869\) −10.0857 22.0846i −0.342135 0.749170i
\(870\) −3.46554 0.0302296i −0.117493 0.00102488i
\(871\) −5.98201 + 3.84440i −0.202693 + 0.130263i
\(872\) 37.5274 15.9651i 1.27084 0.540647i
\(873\) 12.4010i 0.419709i
\(874\) 4.18327 5.91234i 0.141501 0.199988i
\(875\) 11.0368i 0.373112i
\(876\) −11.0085 17.8051i −0.371944 0.601577i
\(877\) −5.66094 + 3.63807i −0.191157 + 0.122849i −0.632718 0.774382i \(-0.718061\pi\)
0.441562 + 0.897231i \(0.354425\pi\)
\(878\) −0.496616 + 56.9325i −0.0167600 + 1.92138i
\(879\) −7.98054 17.4749i −0.269177 0.589415i
\(880\) −14.8744 13.8261i −0.501417 0.466079i
\(881\) −10.5152 35.8114i −0.354265 1.20652i −0.923260 0.384175i \(-0.874486\pi\)
0.568995 0.822341i \(-0.307332\pi\)
\(882\) −5.71255 + 6.47760i −0.192352 + 0.218112i
\(883\) 50.2432 + 22.9453i 1.69082 + 0.772171i 0.998731 + 0.0503565i \(0.0160358\pi\)
0.692087 + 0.721814i \(0.256692\pi\)
\(884\) −6.12213 + 9.17045i −0.205910 + 0.308436i
\(885\) −2.76226 + 2.39351i −0.0928523 + 0.0804569i
\(886\) −19.6679 31.1989i −0.660756 1.04815i
\(887\) −0.159223 + 0.542264i −0.00534619 + 0.0182075i −0.962123 0.272616i \(-0.912111\pi\)
0.956777 + 0.290824i \(0.0939293\pi\)
\(888\) −10.7419 13.0728i −0.360473 0.438694i
\(889\) −3.54735 + 5.51978i −0.118974 + 0.185128i
\(890\) 2.01219 + 14.9177i 0.0674488 + 0.500042i
\(891\) 0.341182 2.37297i 0.0114300 0.0794976i
\(892\) −26.8124 + 3.37876i −0.897744 + 0.113129i
\(893\) −9.19247 + 1.32168i −0.307614 + 0.0442283i
\(894\) −12.9602 29.0468i −0.433455 0.971471i
\(895\) −36.3877 + 41.9936i −1.21631 + 1.40369i
\(896\) 9.32969 5.22036i 0.311683 0.174400i
\(897\) 2.31440 + 5.58989i 0.0772757 + 0.186641i
\(898\) 7.76228 50.8360i 0.259031 1.69642i
\(899\) −5.95631 5.16118i −0.198654 0.172135i
\(900\) 0.993685 0.273037i 0.0331228 0.00910122i
\(901\) −3.42055 23.7905i −0.113955 0.792575i
\(902\) −30.9583 + 8.79760i −1.03080 + 0.292928i
\(903\) −0.0895126 0.0128700i −0.00297879 0.000428286i
\(904\) −29.2201 4.98478i −0.971845 0.165791i
\(905\) 11.9974 + 7.71027i 0.398808 + 0.256298i
\(906\) 8.24548 + 5.40125i 0.273938 + 0.179444i
\(907\) −24.3349 7.14538i −0.808028 0.237258i −0.148475 0.988916i \(-0.547436\pi\)
−0.659553 + 0.751658i \(0.729255\pi\)
\(908\) 2.04854 + 4.70102i 0.0679832 + 0.156009i
\(909\) 9.73153 + 11.2308i 0.322774 + 0.372501i
\(910\) 3.23448 + 1.51137i 0.107222 + 0.0501016i
\(911\) −17.4164 + 38.1367i −0.577032 + 1.26352i 0.365936 + 0.930640i \(0.380749\pi\)
−0.942968 + 0.332884i \(0.891978\pi\)
\(912\) 3.94499 1.63781i 0.130632 0.0542333i
\(913\) 9.42029 2.76605i 0.311766 0.0915428i
\(914\) −12.9991 + 42.8837i −0.429973 + 1.41847i
\(915\) −15.0929 + 6.89271i −0.498957 + 0.227866i
\(916\) 16.7250 + 2.70328i 0.552610 + 0.0893189i
\(917\) 6.72104 + 10.4581i 0.221948 + 0.345358i
\(918\) 4.00639 + 4.70595i 0.132231 + 0.155319i
\(919\) 30.5639 1.00821 0.504105 0.863642i \(-0.331822\pi\)
0.504105 + 0.863642i \(0.331822\pi\)
\(920\) 13.5299 25.3404i 0.446069 0.835447i
\(921\) −6.16621 −0.203184
\(922\) 15.7853 + 18.5415i 0.519861 + 0.610633i
\(923\) −6.40185 9.96147i −0.210719 0.327886i
\(924\) 4.47276 + 0.722935i 0.147143 + 0.0237828i
\(925\) 2.80378 1.28044i 0.0921878 0.0421007i
\(926\) 1.12623 3.71538i 0.0370101 0.122095i
\(927\) 14.9917 4.40195i 0.492391 0.144579i
\(928\) 6.35532 1.56864i 0.208624 0.0514931i
\(929\) 3.47675 7.61301i 0.114068 0.249775i −0.843984 0.536369i \(-0.819796\pi\)
0.958052 + 0.286594i \(0.0925230\pi\)
\(930\) −18.4797 8.63499i −0.605973 0.283152i
\(931\) −4.27069 4.92864i −0.139966 0.161530i
\(932\) −12.7988 29.3708i −0.419237 0.962071i
\(933\) −3.57172 1.04875i −0.116933 0.0343346i
\(934\) 20.7186 + 13.5718i 0.677933 + 0.444084i
\(935\) 18.6652 + 11.9954i 0.610417 + 0.392291i
\(936\) −0.600035 + 3.51732i −0.0196128 + 0.114967i
\(937\) 57.7788 + 8.30733i 1.88755 + 0.271389i 0.986677 0.162693i \(-0.0520181\pi\)
0.900873 + 0.434082i \(0.142927\pi\)
\(938\) −7.24576 + 2.05907i −0.236582 + 0.0672310i
\(939\) −2.62223 18.2380i −0.0855731 0.595174i
\(940\) −35.5183 + 9.75944i −1.15848 + 0.318318i
\(941\) −7.50321 6.50157i −0.244598 0.211945i 0.523931 0.851761i \(-0.324465\pi\)
−0.768528 + 0.639816i \(0.779011\pi\)
\(942\) 3.83876 25.1404i 0.125074 0.819120i
\(943\) −23.2242 39.1560i −0.756285 1.27510i
\(944\) 3.93271 5.67397i 0.127999 0.184672i
\(945\) 1.31047 1.51236i 0.0426295 0.0491971i
\(946\) −0.132209 0.296309i −0.00429847 0.00963385i
\(947\) 56.0503 8.05882i 1.82139 0.261877i 0.854940 0.518727i \(-0.173594\pi\)
0.966451 + 0.256850i \(0.0826848\pi\)
\(948\) 20.0954 2.53233i 0.652669 0.0822461i
\(949\) −1.87913 + 13.0696i −0.0609991 + 0.424258i
\(950\) 0.104018 + 0.771152i 0.00337478 + 0.0250195i
\(951\) −4.89728 + 7.62032i −0.158805 + 0.247106i
\(952\) −9.02450 + 7.41539i −0.292486 + 0.240334i
\(953\) 1.80653 6.15246i 0.0585191 0.199298i −0.925045 0.379858i \(-0.875973\pi\)
0.983564 + 0.180560i \(0.0577910\pi\)
\(954\) −4.14780 6.57959i −0.134290 0.213022i
\(955\) −8.80201 + 7.62699i −0.284826 + 0.246803i
\(956\) −5.21982 + 7.81886i −0.168821 + 0.252880i
\(957\) 2.52352 + 1.15245i 0.0815737 + 0.0372535i
\(958\) −20.8156 + 23.6034i −0.672523 + 0.762590i
\(959\) −3.29934 11.2365i −0.106541 0.362846i
\(960\) 14.7120 8.40130i 0.474826 0.271151i
\(961\) −6.39174 13.9960i −0.206185 0.451483i
\(962\) −0.0930916 + 10.6721i −0.00300139 + 0.344082i
\(963\) 9.28354 5.96617i 0.299158 0.192257i
\(964\) 4.67175 + 7.55603i 0.150467 + 0.243363i
\(965\) 8.27402i 0.266350i
\(966\) 0.628501 + 6.37807i 0.0202217 + 0.205211i
\(967\) 4.83618i 0.155521i −0.996972 0.0777605i \(-0.975223\pi\)
0.996972 0.0777605i \(-0.0247769\pi\)
\(968\) −5.81593 13.6709i −0.186931 0.439398i
\(969\) −3.92594 + 2.52305i −0.126119 + 0.0810520i
\(970\) 37.1384 + 0.323954i 1.19244 + 0.0104015i
\(971\) 1.43329 + 3.13847i 0.0459966 + 0.100718i 0.931235 0.364419i \(-0.118732\pi\)
−0.885239 + 0.465137i \(0.846005\pi\)
\(972\) 1.80449 + 0.862440i 0.0578792 + 0.0276628i
\(973\) −2.52615 8.60328i −0.0809847 0.275809i
\(974\) 24.6468 + 21.7359i 0.789735 + 0.696463i
\(975\) −0.591270 0.270024i −0.0189358 0.00864769i
\(976\) 24.3867 19.6846i 0.780600 0.630090i
\(977\) 11.4082 9.88526i 0.364981 0.316257i −0.452992 0.891515i \(-0.649643\pi\)
0.817973 + 0.575257i \(0.195098\pi\)
\(978\) 16.3488 10.3063i 0.522776 0.329560i
\(979\) 3.39474 11.5614i 0.108496 0.369504i
\(980\) −19.2499 17.2772i −0.614914 0.551898i
\(981\) −7.79533 + 12.1298i −0.248886 + 0.387274i
\(982\) −10.5920 + 1.42872i −0.338006 + 0.0455923i
\(983\) −1.50885 + 10.4943i −0.0481250 + 0.334716i 0.951508 + 0.307624i \(0.0995339\pi\)
−0.999633 + 0.0270924i \(0.991375\pi\)
\(984\) 0.702515 26.8402i 0.0223954 0.855635i
\(985\) 3.32959 0.478723i 0.106090 0.0152534i
\(986\) −6.53124 + 2.91414i −0.207997 + 0.0928050i
\(987\) 5.38167 6.21078i 0.171300 0.197691i
\(988\) −2.57151 0.804048i −0.0818106 0.0255802i
\(989\) 0.357416 0.287933i 0.0113652 0.00915575i
\(990\) 7.09766 + 1.08376i 0.225579 + 0.0344442i
\(991\) −36.9864 32.0489i −1.17491 1.01807i −0.999436 0.0335832i \(-0.989308\pi\)
−0.175476 0.984484i \(-0.556146\pi\)
\(992\) 37.8600 + 7.14050i 1.20206 + 0.226711i
\(993\) 4.31611 + 30.0192i 0.136968 + 0.952631i
\(994\) −3.42884 12.0659i −0.108756 0.382707i
\(995\) −45.0497 6.47716i −1.42817 0.205340i
\(996\) −0.142881 + 8.18936i −0.00452735 + 0.259490i
\(997\) −32.9866 21.1992i −1.04470 0.671385i −0.0985517 0.995132i \(-0.531421\pi\)
−0.946144 + 0.323747i \(0.895057\pi\)
\(998\) −7.16494 + 10.9379i −0.226802 + 0.346233i
\(999\) 5.73980 + 1.68536i 0.181599 + 0.0533223i
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 276.2.m.a.7.7 240
3.2 odd 2 828.2.u.c.559.18 240
4.3 odd 2 inner 276.2.m.a.7.20 yes 240
12.11 even 2 828.2.u.c.559.5 240
23.10 odd 22 inner 276.2.m.a.79.20 yes 240
69.56 even 22 828.2.u.c.631.5 240
92.79 even 22 inner 276.2.m.a.79.7 yes 240
276.263 odd 22 828.2.u.c.631.18 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
276.2.m.a.7.7 240 1.1 even 1 trivial
276.2.m.a.7.20 yes 240 4.3 odd 2 inner
276.2.m.a.79.7 yes 240 92.79 even 22 inner
276.2.m.a.79.20 yes 240 23.10 odd 22 inner
828.2.u.c.559.5 240 12.11 even 2
828.2.u.c.559.18 240 3.2 odd 2
828.2.u.c.631.5 240 69.56 even 22
828.2.u.c.631.18 240 276.263 odd 22