Properties

Label 429.2.bn.b.4.14
Level $429$
Weight $2$
Character 429.4
Analytic conductor $3.426$
Analytic rank $0$
Dimension $112$
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] = [429,2,Mod(4,429)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(429, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 6, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("429.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 429 = 3 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 429.bn (of order \(30\), 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: \(3.42558224671\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(14\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.14
Character \(\chi\) \(=\) 429.4
Dual form 429.2.bn.b.322.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.08800 + 2.44369i) q^{2} +(0.669131 + 0.743145i) q^{3} +(-3.44962 + 3.83119i) q^{4} +(0.581262 + 0.800038i) q^{5} +(-1.08800 + 2.44369i) q^{6} +(-1.78483 - 1.60707i) q^{7} +(-8.02736 - 2.60825i) q^{8} +(-0.104528 + 0.994522i) q^{9} +O(q^{10})\) \(q+(1.08800 + 2.44369i) q^{2} +(0.669131 + 0.743145i) q^{3} +(-3.44962 + 3.83119i) q^{4} +(0.581262 + 0.800038i) q^{5} +(-1.08800 + 2.44369i) q^{6} +(-1.78483 - 1.60707i) q^{7} +(-8.02736 - 2.60825i) q^{8} +(-0.104528 + 0.994522i) q^{9} +(-1.32263 + 2.29087i) q^{10} +(-0.857353 + 3.20390i) q^{11} -5.15537 q^{12} +(1.84113 - 3.10004i) q^{13} +(1.98528 - 6.11006i) q^{14} +(-0.205604 + 0.967292i) q^{15} +(-1.28226 - 12.1999i) q^{16} +(2.48923 + 1.10828i) q^{17} +(-2.54403 + 0.826606i) q^{18} +(0.914150 + 4.30074i) q^{19} +(-5.07023 - 0.532902i) q^{20} -2.40173i q^{21} +(-8.76213 + 1.39074i) q^{22} +(-2.58250 + 4.47302i) q^{23} +(-3.43305 - 7.71075i) q^{24} +(1.24289 - 3.82522i) q^{25} +(9.57869 + 1.12632i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(12.3140 - 1.29425i) q^{28} +(10.2290 + 2.17424i) q^{29} +(-2.58746 + 0.549981i) q^{30} +(-0.151225 + 0.208143i) q^{31} +(13.7984 - 7.96649i) q^{32} +(-2.95464 + 1.50669i) q^{33} +7.28872i q^{34} +(0.248262 - 2.36206i) q^{35} +(-3.44962 - 3.83119i) q^{36} +(-0.892145 + 4.19721i) q^{37} +(-9.51508 + 6.91311i) q^{38} +(3.53574 - 0.706100i) q^{39} +(-2.57930 - 7.93827i) q^{40} +(2.84028 - 2.55740i) q^{41} +(5.86907 - 2.61308i) q^{42} +(-2.86128 - 4.95587i) q^{43} +(-9.31718 - 14.3369i) q^{44} +(-0.856414 + 0.494451i) q^{45} +(-13.7404 - 1.44418i) q^{46} +(6.12439 + 1.98993i) q^{47} +(8.20829 - 9.11623i) q^{48} +(-0.128749 - 1.22497i) q^{49} +(10.6999 - 1.12461i) q^{50} +(0.842011 + 2.59144i) q^{51} +(5.52561 + 17.7477i) q^{52} +(-10.0360 - 7.29160i) q^{53} +(-2.31658 - 1.33748i) q^{54} +(-3.06159 + 1.17639i) q^{55} +(10.1358 + 17.5558i) q^{56} +(-2.58439 + 3.55710i) q^{57} +(5.81599 + 27.3621i) q^{58} +(2.35719 + 2.12243i) q^{59} +(-2.99662 - 4.12449i) q^{60} +(6.81422 + 3.03389i) q^{61} +(-0.673171 - 0.143087i) q^{62} +(1.78483 - 1.60707i) q^{63} +(14.6317 + 10.6306i) q^{64} +(3.55033 - 0.328955i) q^{65} +(-6.89653 - 5.58095i) q^{66} +(5.64537 + 3.25936i) q^{67} +(-12.8329 + 5.71358i) q^{68} +(-5.05213 + 1.07386i) q^{69} +(6.04225 - 1.96325i) q^{70} +(5.53205 - 12.4252i) q^{71} +(3.43305 - 7.71075i) q^{72} +(-8.22657 + 2.67298i) q^{73} +(-11.2273 + 2.38644i) q^{74} +(3.67435 - 1.63592i) q^{75} +(-19.6304 - 11.3336i) q^{76} +(6.67911 - 4.34058i) q^{77} +(5.57237 + 7.87200i) q^{78} +(2.07763 + 1.50949i) q^{79} +(9.01506 - 8.11720i) q^{80} +(-0.978148 - 0.207912i) q^{81} +(9.33971 + 4.15831i) q^{82} +(-1.75391 - 2.41405i) q^{83} +(9.20146 + 8.28503i) q^{84} +(0.560231 + 2.63568i) q^{85} +(8.99755 - 12.3841i) q^{86} +(5.22876 + 9.05647i) q^{87} +(15.2388 - 23.4826i) q^{88} +(-11.7685 - 6.79454i) q^{89} +(-2.14006 - 1.55485i) q^{90} +(-8.26808 + 2.57421i) q^{91} +(-8.22835 - 25.3243i) q^{92} +(-0.255870 + 0.0268930i) q^{93} +(1.80056 + 17.1312i) q^{94} +(-2.90940 + 3.23121i) q^{95} +(15.1532 + 4.92356i) q^{96} +(-7.67106 - 0.806261i) q^{97} +(2.85336 - 1.64739i) q^{98} +(-3.09673 - 1.18755i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q + 14 q^{3} - 8 q^{4} + 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q + 14 q^{3} - 8 q^{4} + 14 q^{9} - 40 q^{10} + 15 q^{11} - 104 q^{12} + q^{13} - 6 q^{14} - 6 q^{15} + 32 q^{16} + 8 q^{17} - 12 q^{19} + 42 q^{20} - 9 q^{22} + 8 q^{23} + 30 q^{25} - 57 q^{26} - 28 q^{27} + 18 q^{28} - 10 q^{29} + 10 q^{30} + 30 q^{32} + 30 q^{33} - 12 q^{35} - 8 q^{36} + 30 q^{38} + 4 q^{39} + 20 q^{40} + 72 q^{41} - 12 q^{42} - 108 q^{43} + 6 q^{45} - 18 q^{46} + 2 q^{48} - 40 q^{49} + 111 q^{50} - 26 q^{51} + 13 q^{52} - 46 q^{53} - 38 q^{55} - 100 q^{56} - 12 q^{58} - 18 q^{59} - 46 q^{61} - 9 q^{62} + 52 q^{64} + 24 q^{65} - 32 q^{66} + 48 q^{67} - 8 q^{68} - 7 q^{69} + 18 q^{71} + 32 q^{74} - 216 q^{76} + 4 q^{77} - 26 q^{78} + 108 q^{79} - 66 q^{80} + 14 q^{81} + 39 q^{82} + 27 q^{84} + 6 q^{85} + 60 q^{87} + 28 q^{88} - 120 q^{89} - 20 q^{90} + 47 q^{91} + 78 q^{92} - 6 q^{93} - 50 q^{94} + 60 q^{95} - 69 q^{97} + 72 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).

\(n\) \(67\) \(79\) \(287\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{5}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.08800 + 2.44369i 0.769333 + 1.72795i 0.681504 + 0.731815i \(0.261326\pi\)
0.0878293 + 0.996136i \(0.472007\pi\)
\(3\) 0.669131 + 0.743145i 0.386323 + 0.429055i
\(4\) −3.44962 + 3.83119i −1.72481 + 1.91559i
\(5\) 0.581262 + 0.800038i 0.259948 + 0.357788i 0.918964 0.394341i \(-0.129027\pi\)
−0.659016 + 0.752129i \(0.729027\pi\)
\(6\) −1.08800 + 2.44369i −0.444175 + 0.997633i
\(7\) −1.78483 1.60707i −0.674602 0.607415i 0.258935 0.965895i \(-0.416628\pi\)
−0.933537 + 0.358480i \(0.883295\pi\)
\(8\) −8.02736 2.60825i −2.83810 0.922155i
\(9\) −0.104528 + 0.994522i −0.0348428 + 0.331507i
\(10\) −1.32263 + 2.29087i −0.418253 + 0.724436i
\(11\) −0.857353 + 3.20390i −0.258502 + 0.966011i
\(12\) −5.15537 −1.48823
\(13\) 1.84113 3.10004i 0.510639 0.859795i
\(14\) 1.98528 6.11006i 0.530588 1.63298i
\(15\) −0.205604 + 0.967292i −0.0530868 + 0.249754i
\(16\) −1.28226 12.1999i −0.320565 3.04998i
\(17\) 2.48923 + 1.10828i 0.603727 + 0.268797i 0.685754 0.727833i \(-0.259473\pi\)
−0.0820266 + 0.996630i \(0.526139\pi\)
\(18\) −2.54403 + 0.826606i −0.599634 + 0.194833i
\(19\) 0.914150 + 4.30074i 0.209720 + 0.986657i 0.949490 + 0.313797i \(0.101601\pi\)
−0.739770 + 0.672860i \(0.765066\pi\)
\(20\) −5.07023 0.532902i −1.13374 0.119161i
\(21\) 2.40173i 0.524100i
\(22\) −8.76213 + 1.39074i −1.86809 + 0.296506i
\(23\) −2.58250 + 4.47302i −0.538489 + 0.932690i 0.460497 + 0.887661i \(0.347671\pi\)
−0.998986 + 0.0450285i \(0.985662\pi\)
\(24\) −3.43305 7.71075i −0.700768 1.57395i
\(25\) 1.24289 3.82522i 0.248578 0.765044i
\(26\) 9.57869 + 1.12632i 1.87853 + 0.220889i
\(27\) −0.809017 + 0.587785i −0.155695 + 0.113119i
\(28\) 12.3140 1.29425i 2.32712 0.244590i
\(29\) 10.2290 + 2.17424i 1.89948 + 0.403746i 0.999483 0.0321577i \(-0.0102379\pi\)
0.899993 + 0.435904i \(0.143571\pi\)
\(30\) −2.58746 + 0.549981i −0.472403 + 0.100412i
\(31\) −0.151225 + 0.208143i −0.0271608 + 0.0373836i −0.822381 0.568937i \(-0.807355\pi\)
0.795221 + 0.606320i \(0.207355\pi\)
\(32\) 13.7984 7.96649i 2.43923 1.40829i
\(33\) −2.95464 + 1.50669i −0.514337 + 0.262281i
\(34\) 7.28872i 1.25001i
\(35\) 0.248262 2.36206i 0.0419640 0.399261i
\(36\) −3.44962 3.83119i −0.574936 0.638531i
\(37\) −0.892145 + 4.19721i −0.146668 + 0.690017i 0.841949 + 0.539558i \(0.181409\pi\)
−0.988616 + 0.150459i \(0.951925\pi\)
\(38\) −9.51508 + 6.91311i −1.54355 + 1.12145i
\(39\) 3.53574 0.706100i 0.566171 0.113067i
\(40\) −2.57930 7.93827i −0.407823 1.25515i
\(41\) 2.84028 2.55740i 0.443577 0.399398i −0.416848 0.908976i \(-0.636865\pi\)
0.860424 + 0.509578i \(0.170198\pi\)
\(42\) 5.86907 2.61308i 0.905618 0.403207i
\(43\) −2.86128 4.95587i −0.436340 0.755764i 0.561064 0.827773i \(-0.310392\pi\)
−0.997404 + 0.0720089i \(0.977059\pi\)
\(44\) −9.31718 14.3369i −1.40462 2.16137i
\(45\) −0.856414 + 0.494451i −0.127667 + 0.0737084i
\(46\) −13.7404 1.44418i −2.02592 0.212933i
\(47\) 6.12439 + 1.98993i 0.893334 + 0.290262i 0.719483 0.694510i \(-0.244379\pi\)
0.173851 + 0.984772i \(0.444379\pi\)
\(48\) 8.20829 9.11623i 1.18477 1.31582i
\(49\) −0.128749 1.22497i −0.0183927 0.174995i
\(50\) 10.6999 1.12461i 1.51320 0.159043i
\(51\) 0.842011 + 2.59144i 0.117905 + 0.362875i
\(52\) 5.52561 + 17.7477i 0.766265 + 2.46116i
\(53\) −10.0360 7.29160i −1.37855 1.00158i −0.997014 0.0772258i \(-0.975394\pi\)
−0.381540 0.924352i \(-0.624606\pi\)
\(54\) −2.31658 1.33748i −0.315246 0.182007i
\(55\) −3.06159 + 1.17639i −0.412824 + 0.158624i
\(56\) 10.1358 + 17.5558i 1.35446 + 2.34599i
\(57\) −2.58439 + 3.55710i −0.342310 + 0.471150i
\(58\) 5.81599 + 27.3621i 0.763676 + 3.59282i
\(59\) 2.35719 + 2.12243i 0.306880 + 0.276316i 0.808152 0.588973i \(-0.200468\pi\)
−0.501272 + 0.865290i \(0.667134\pi\)
\(60\) −2.99662 4.12449i −0.386862 0.532470i
\(61\) 6.81422 + 3.03389i 0.872472 + 0.388450i 0.793603 0.608436i \(-0.208203\pi\)
0.0788686 + 0.996885i \(0.474869\pi\)
\(62\) −0.673171 0.143087i −0.0854927 0.0181720i
\(63\) 1.78483 1.60707i 0.224867 0.202472i
\(64\) 14.6317 + 10.6306i 1.82896 + 1.32882i
\(65\) 3.55033 0.328955i 0.440364 0.0408019i
\(66\) −6.89653 5.58095i −0.848904 0.686967i
\(67\) 5.64537 + 3.25936i 0.689692 + 0.398194i 0.803497 0.595309i \(-0.202970\pi\)
−0.113805 + 0.993503i \(0.536304\pi\)
\(68\) −12.8329 + 5.71358i −1.55622 + 0.692874i
\(69\) −5.05213 + 1.07386i −0.608206 + 0.129278i
\(70\) 6.04225 1.96325i 0.722187 0.234653i
\(71\) 5.53205 12.4252i 0.656534 1.47460i −0.211135 0.977457i \(-0.567716\pi\)
0.867669 0.497143i \(-0.165617\pi\)
\(72\) 3.43305 7.71075i 0.404588 0.908721i
\(73\) −8.22657 + 2.67298i −0.962847 + 0.312848i −0.747925 0.663783i \(-0.768950\pi\)
−0.214922 + 0.976631i \(0.568950\pi\)
\(74\) −11.2273 + 2.38644i −1.30515 + 0.277419i
\(75\) 3.67435 1.63592i 0.424277 0.188900i
\(76\) −19.6304 11.3336i −2.25176 1.30006i
\(77\) 6.67911 4.34058i 0.761155 0.494656i
\(78\) 5.57237 + 7.87200i 0.630947 + 0.891329i
\(79\) 2.07763 + 1.50949i 0.233752 + 0.169830i 0.698495 0.715615i \(-0.253853\pi\)
−0.464743 + 0.885445i \(0.653853\pi\)
\(80\) 9.01506 8.11720i 1.00791 0.907530i
\(81\) −0.978148 0.207912i −0.108683 0.0231013i
\(82\) 9.33971 + 4.15831i 1.03140 + 0.459208i
\(83\) −1.75391 2.41405i −0.192516 0.264976i 0.701837 0.712338i \(-0.252364\pi\)
−0.894353 + 0.447362i \(0.852364\pi\)
\(84\) 9.20146 + 8.28503i 1.00396 + 0.903971i
\(85\) 0.560231 + 2.63568i 0.0607656 + 0.285880i
\(86\) 8.99755 12.3841i 0.970231 1.33541i
\(87\) 5.22876 + 9.05647i 0.560582 + 0.970956i
\(88\) 15.2388 23.4826i 1.62446 2.50326i
\(89\) −11.7685 6.79454i −1.24746 0.720220i −0.276855 0.960912i \(-0.589292\pi\)
−0.970602 + 0.240692i \(0.922626\pi\)
\(90\) −2.14006 1.55485i −0.225583 0.163895i
\(91\) −8.26808 + 2.57421i −0.866730 + 0.269851i
\(92\) −8.22835 25.3243i −0.857865 2.64024i
\(93\) −0.255870 + 0.0268930i −0.0265325 + 0.00278867i
\(94\) 1.80056 + 17.1312i 0.185713 + 1.76694i
\(95\) −2.90940 + 3.23121i −0.298498 + 0.331515i
\(96\) 15.1532 + 4.92356i 1.54656 + 0.502509i
\(97\) −7.67106 0.806261i −0.778878 0.0818634i −0.293258 0.956033i \(-0.594740\pi\)
−0.485620 + 0.874170i \(0.661406\pi\)
\(98\) 2.85336 1.64739i 0.288233 0.166411i
\(99\) −3.09673 1.18755i −0.311233 0.119354i
\(100\) 10.3676 + 17.9573i 1.03676 + 1.79573i
\(101\) 8.95065 3.98509i 0.890623 0.396531i 0.0901702 0.995926i \(-0.471259\pi\)
0.800453 + 0.599395i \(0.204592\pi\)
\(102\) −5.41658 + 4.87711i −0.536321 + 0.482905i
\(103\) 3.63607 + 11.1907i 0.358273 + 1.10265i 0.954087 + 0.299529i \(0.0968295\pi\)
−0.595814 + 0.803122i \(0.703171\pi\)
\(104\) −22.8651 + 20.0830i −2.24211 + 1.96930i
\(105\) 1.92147 1.39603i 0.187516 0.136239i
\(106\) 6.89920 32.4582i 0.670110 3.15262i
\(107\) 2.76698 + 3.07304i 0.267494 + 0.297082i 0.861895 0.507087i \(-0.169278\pi\)
−0.594401 + 0.804169i \(0.702611\pi\)
\(108\) 0.538883 5.12713i 0.0518540 0.493358i
\(109\) 1.95560i 0.187312i 0.995605 + 0.0936562i \(0.0298555\pi\)
−0.995605 + 0.0936562i \(0.970145\pi\)
\(110\) −6.20573 6.20166i −0.591694 0.591305i
\(111\) −3.71610 + 2.14549i −0.352716 + 0.203641i
\(112\) −17.3175 + 23.8354i −1.63635 + 2.25224i
\(113\) −0.650224 + 0.138209i −0.0611679 + 0.0130016i −0.238394 0.971169i \(-0.576621\pi\)
0.177226 + 0.984170i \(0.443288\pi\)
\(114\) −11.5043 2.44531i −1.07747 0.229024i
\(115\) −5.07970 + 0.533898i −0.473684 + 0.0497862i
\(116\) −43.6160 + 31.6889i −4.04965 + 2.94224i
\(117\) 2.89060 + 2.15509i 0.267236 + 0.199238i
\(118\) −2.62192 + 8.06945i −0.241368 + 0.742853i
\(119\) −2.66178 5.97845i −0.244005 0.548044i
\(120\) 4.17340 7.22853i 0.380977 0.659872i
\(121\) −9.52989 5.49374i −0.866354 0.499431i
\(122\) 19.9527i 1.80644i
\(123\) 3.80103 + 0.399505i 0.342728 + 0.0360221i
\(124\) −0.275768 1.29739i −0.0247647 0.116509i
\(125\) 8.48527 2.75703i 0.758946 0.246596i
\(126\) 5.86907 + 2.61308i 0.522859 + 0.232792i
\(127\) −1.72487 16.4111i −0.153058 1.45625i −0.753958 0.656923i \(-0.771858\pi\)
0.600900 0.799324i \(-0.294809\pi\)
\(128\) −3.43317 + 16.1518i −0.303452 + 1.42763i
\(129\) 1.76837 5.44247i 0.155696 0.479183i
\(130\) 4.66663 + 8.31800i 0.409290 + 0.729537i
\(131\) 18.9288 1.65382 0.826909 0.562335i \(-0.190097\pi\)
0.826909 + 0.562335i \(0.190097\pi\)
\(132\) 4.41997 16.5173i 0.384709 1.43764i
\(133\) 5.27998 9.14519i 0.457832 0.792989i
\(134\) −1.82269 + 17.3417i −0.157456 + 1.49810i
\(135\) −0.940501 0.305587i −0.0809455 0.0263008i
\(136\) −17.0913 15.3891i −1.46557 1.31960i
\(137\) 0.799845 1.79648i 0.0683354 0.153484i −0.876149 0.482041i \(-0.839896\pi\)
0.944484 + 0.328557i \(0.106562\pi\)
\(138\) −8.12092 11.1775i −0.691299 0.951491i
\(139\) −11.5248 + 12.7996i −0.977519 + 1.08564i 0.0187916 + 0.999823i \(0.494018\pi\)
−0.996311 + 0.0858213i \(0.972649\pi\)
\(140\) 8.19308 + 9.09934i 0.692442 + 0.769034i
\(141\) 2.61921 + 5.88283i 0.220577 + 0.495424i
\(142\) 36.3822 3.05313
\(143\) 8.35369 + 8.55663i 0.698571 + 0.715541i
\(144\) 12.2671 1.02226
\(145\) 4.20625 + 9.44739i 0.349310 + 0.784563i
\(146\) −15.4824 17.1950i −1.28134 1.42307i
\(147\) 0.824177 0.915341i 0.0679770 0.0754961i
\(148\) −13.0027 17.8967i −1.06882 1.47110i
\(149\) −6.85933 + 15.4063i −0.561939 + 1.26213i 0.379575 + 0.925161i \(0.376070\pi\)
−0.941514 + 0.336974i \(0.890597\pi\)
\(150\) 7.99539 + 7.19908i 0.652821 + 0.587802i
\(151\) −5.89696 1.91604i −0.479888 0.155925i 0.0590769 0.998253i \(-0.481184\pi\)
−0.538964 + 0.842329i \(0.681184\pi\)
\(152\) 3.87918 36.9079i 0.314643 2.99363i
\(153\) −1.36240 + 2.35975i −0.110144 + 0.190774i
\(154\) 17.8739 + 11.5991i 1.44032 + 0.934683i
\(155\) −0.254424 −0.0204358
\(156\) −9.49173 + 15.9818i −0.759946 + 1.27957i
\(157\) 5.24226 16.1340i 0.418378 1.28763i −0.490817 0.871263i \(-0.663302\pi\)
0.909195 0.416371i \(-0.136698\pi\)
\(158\) −1.42825 + 6.71941i −0.113626 + 0.534567i
\(159\) −1.29670 12.3373i −0.102835 0.978408i
\(160\) 14.3940 + 6.40861i 1.13794 + 0.506645i
\(161\) 11.7978 3.83333i 0.929795 0.302109i
\(162\) −0.556154 2.61650i −0.0436956 0.205572i
\(163\) 0.535041 + 0.0562351i 0.0419077 + 0.00440467i 0.125459 0.992099i \(-0.459960\pi\)
−0.0835514 + 0.996503i \(0.526626\pi\)
\(164\) 19.7037i 1.53860i
\(165\) −2.92283 1.48804i −0.227542 0.115844i
\(166\) 3.99093 6.91250i 0.309756 0.536514i
\(167\) 3.26664 + 7.33698i 0.252780 + 0.567753i 0.994710 0.102724i \(-0.0327560\pi\)
−0.741930 + 0.670477i \(0.766089\pi\)
\(168\) −6.26430 + 19.2795i −0.483301 + 1.48745i
\(169\) −6.22045 11.4152i −0.478496 0.878090i
\(170\) −5.83125 + 4.23665i −0.447237 + 0.324937i
\(171\) −4.37273 + 0.459593i −0.334391 + 0.0351459i
\(172\) 28.8572 + 6.13378i 2.20034 + 0.467697i
\(173\) 6.08937 1.29434i 0.462966 0.0984065i 0.0294774 0.999565i \(-0.490616\pi\)
0.433489 + 0.901159i \(0.357282\pi\)
\(174\) −16.4423 + 22.6309i −1.24649 + 1.71565i
\(175\) −8.36573 + 4.82996i −0.632390 + 0.365111i
\(176\) 40.1866 + 6.35139i 3.02918 + 0.478754i
\(177\) 3.17192i 0.238416i
\(178\) 3.79962 36.1510i 0.284794 2.70963i
\(179\) −10.5640 11.7325i −0.789591 0.876929i 0.205216 0.978717i \(-0.434210\pi\)
−0.994806 + 0.101788i \(0.967544\pi\)
\(180\) 1.05997 4.98675i 0.0790052 0.371690i
\(181\) 14.6290 10.6286i 1.08737 0.790018i 0.108414 0.994106i \(-0.465423\pi\)
0.978953 + 0.204088i \(0.0654227\pi\)
\(182\) −15.2863 17.4039i −1.13309 1.29006i
\(183\) 2.30499 + 7.09402i 0.170390 + 0.524405i
\(184\) 32.3974 29.1708i 2.38837 2.15050i
\(185\) −3.87650 + 1.72593i −0.285006 + 0.126893i
\(186\) −0.344105 0.596007i −0.0252310 0.0437014i
\(187\) −5.68496 + 7.02506i −0.415725 + 0.513723i
\(188\) −28.7506 + 16.5992i −2.09685 + 1.21062i
\(189\) 2.38857 + 0.251049i 0.173743 + 0.0182611i
\(190\) −11.0615 3.59410i −0.802486 0.260743i
\(191\) 7.04025 7.81899i 0.509415 0.565762i −0.432492 0.901638i \(-0.642366\pi\)
0.941906 + 0.335876i \(0.109032\pi\)
\(192\) 1.89048 + 17.9867i 0.136434 + 1.29808i
\(193\) 17.9849 1.89029i 1.29458 0.136066i 0.567933 0.823074i \(-0.307743\pi\)
0.726650 + 0.687008i \(0.241076\pi\)
\(194\) −6.37587 19.6229i −0.457761 1.40884i
\(195\) 2.62009 + 2.41829i 0.187629 + 0.173178i
\(196\) 5.13721 + 3.73240i 0.366943 + 0.266600i
\(197\) −0.633336 0.365657i −0.0451233 0.0260520i 0.477269 0.878757i \(-0.341627\pi\)
−0.522392 + 0.852705i \(0.674960\pi\)
\(198\) −0.467227 8.85950i −0.0332044 0.629617i
\(199\) −11.2968 19.5666i −0.800809 1.38704i −0.919084 0.394061i \(-0.871070\pi\)
0.118275 0.992981i \(-0.462264\pi\)
\(200\) −19.9542 + 27.4647i −1.41098 + 1.94204i
\(201\) 1.35532 + 6.37627i 0.0955967 + 0.449747i
\(202\) 19.4766 + 17.5368i 1.37037 + 1.23389i
\(203\) −14.7629 20.3193i −1.03615 1.42614i
\(204\) −12.8329 5.71358i −0.898484 0.400031i
\(205\) 3.69696 + 0.785813i 0.258207 + 0.0548836i
\(206\) −23.3905 + 21.0609i −1.62970 + 1.46738i
\(207\) −4.17857 3.03591i −0.290431 0.211010i
\(208\) −40.1810 18.4866i −2.78605 1.28181i
\(209\) −14.5629 0.758408i −1.00733 0.0524602i
\(210\) 5.50203 + 3.17660i 0.379676 + 0.219206i
\(211\) −3.65201 + 1.62598i −0.251415 + 0.111937i −0.528575 0.848887i \(-0.677273\pi\)
0.277160 + 0.960824i \(0.410607\pi\)
\(212\) 62.5559 13.2967i 4.29636 0.913219i
\(213\) 12.9354 4.20296i 0.886318 0.287982i
\(214\) −4.49908 + 10.1051i −0.307551 + 0.690771i
\(215\) 2.30174 5.16979i 0.156977 0.352577i
\(216\) 8.02736 2.60825i 0.546193 0.177469i
\(217\) 0.604411 0.128472i 0.0410301 0.00872122i
\(218\) −4.77888 + 2.12769i −0.323667 + 0.144106i
\(219\) −7.49106 4.32496i −0.506199 0.292254i
\(220\) 6.05433 15.7876i 0.408183 1.06440i
\(221\) 8.01871 5.67622i 0.539397 0.381824i
\(222\) −9.28603 6.74670i −0.623238 0.452809i
\(223\) −20.5053 + 18.4630i −1.37313 + 1.23637i −0.430481 + 0.902600i \(0.641656\pi\)
−0.942653 + 0.333775i \(0.891677\pi\)
\(224\) −37.4304 7.95609i −2.50093 0.531588i
\(225\) 3.67435 + 1.63592i 0.244956 + 0.109062i
\(226\) −1.04519 1.43857i −0.0695247 0.0956925i
\(227\) −16.0029 14.4091i −1.06215 0.956367i −0.0630206 0.998012i \(-0.520073\pi\)
−0.999132 + 0.0416453i \(0.986740\pi\)
\(228\) −4.71278 22.1719i −0.312112 1.46837i
\(229\) 0.138399 0.190489i 0.00914564 0.0125879i −0.804420 0.594061i \(-0.797524\pi\)
0.813565 + 0.581474i \(0.197524\pi\)
\(230\) −6.83140 11.8323i −0.450449 0.780201i
\(231\) 7.69488 + 2.05913i 0.506286 + 0.135481i
\(232\) −76.4408 44.1331i −5.01859 2.89748i
\(233\) −0.184685 0.134181i −0.0120991 0.00879052i 0.581719 0.813390i \(-0.302380\pi\)
−0.593818 + 0.804599i \(0.702380\pi\)
\(234\) −2.12139 + 9.40848i −0.138680 + 0.615052i
\(235\) 1.96785 + 6.05642i 0.128368 + 0.395077i
\(236\) −16.2628 + 1.70929i −1.05862 + 0.111265i
\(237\) 0.268439 + 2.55402i 0.0174370 + 0.165902i
\(238\) 11.7135 13.0091i 0.759272 0.843257i
\(239\) 27.8340 + 9.04382i 1.80043 + 0.584996i 0.999898 0.0142895i \(-0.00454863\pi\)
0.800535 + 0.599286i \(0.204549\pi\)
\(240\) 12.0645 + 1.26803i 0.778760 + 0.0818510i
\(241\) −0.213728 + 0.123396i −0.0137674 + 0.00794862i −0.506868 0.862024i \(-0.669197\pi\)
0.493100 + 0.869972i \(0.335863\pi\)
\(242\) 3.05646 29.2653i 0.196477 1.88124i
\(243\) −0.500000 0.866025i −0.0320750 0.0555556i
\(244\) −35.1298 + 15.6408i −2.24896 + 1.00130i
\(245\) 0.905183 0.815030i 0.0578300 0.0520704i
\(246\) 3.15926 + 9.72321i 0.201427 + 0.619929i
\(247\) 15.0155 + 5.08434i 0.955415 + 0.323509i
\(248\) 1.75683 1.27641i 0.111559 0.0810520i
\(249\) 0.620393 2.91872i 0.0393158 0.184966i
\(250\) 15.9693 + 17.7357i 1.00999 + 1.12171i
\(251\) 0.631358 6.00697i 0.0398510 0.379157i −0.956360 0.292190i \(-0.905616\pi\)
0.996211 0.0869666i \(-0.0277173\pi\)
\(252\) 12.3818i 0.779979i
\(253\) −12.1170 12.1090i −0.761788 0.761288i
\(254\) 38.2269 22.0703i 2.39857 1.38482i
\(255\) −1.58382 + 2.17995i −0.0991829 + 0.136514i
\(256\) −7.82411 + 1.66307i −0.489007 + 0.103942i
\(257\) −19.9016 4.23021i −1.24143 0.263873i −0.460027 0.887905i \(-0.652160\pi\)
−0.781399 + 0.624032i \(0.785494\pi\)
\(258\) 15.2237 1.60007i 0.947786 0.0996163i
\(259\) 8.33753 6.05757i 0.518069 0.376399i
\(260\) −10.9870 + 14.7367i −0.681384 + 0.913934i
\(261\) −3.23155 + 9.94569i −0.200028 + 0.615623i
\(262\) 20.5946 + 46.2562i 1.27234 + 2.85772i
\(263\) −1.42473 + 2.46770i −0.0878524 + 0.152165i −0.906603 0.421984i \(-0.861334\pi\)
0.818751 + 0.574149i \(0.194667\pi\)
\(264\) 27.6478 4.38829i 1.70160 0.270081i
\(265\) 12.2675i 0.753588i
\(266\) 28.0926 + 2.95266i 1.72247 + 0.181039i
\(267\) −2.82533 13.2921i −0.172907 0.813465i
\(268\) −31.9616 + 10.3849i −1.95236 + 0.634362i
\(269\) 24.3721 + 10.8511i 1.48599 + 0.661605i 0.979647 0.200727i \(-0.0643303\pi\)
0.506343 + 0.862332i \(0.330997\pi\)
\(270\) −0.276505 2.63077i −0.0168276 0.160104i
\(271\) 1.47240 6.92710i 0.0894420 0.420791i −0.910531 0.413441i \(-0.864327\pi\)
0.999973 0.00735066i \(-0.00233981\pi\)
\(272\) 10.3290 31.7895i 0.626290 1.92752i
\(273\) −7.44544 4.42190i −0.450618 0.267625i
\(274\) 5.26028 0.317785
\(275\) 11.1900 + 7.26165i 0.674783 + 0.437894i
\(276\) 13.3138 23.0601i 0.801394 1.38805i
\(277\) 2.65559 25.2663i 0.159559 1.51810i −0.562805 0.826589i \(-0.690278\pi\)
0.722364 0.691513i \(-0.243055\pi\)
\(278\) −43.8171 14.2371i −2.62798 0.853882i
\(279\) −0.191196 0.172153i −0.0114466 0.0103066i
\(280\) −8.15373 + 18.3136i −0.487278 + 1.09445i
\(281\) 2.18032 + 3.00095i 0.130067 + 0.179022i 0.869083 0.494666i \(-0.164709\pi\)
−0.739016 + 0.673687i \(0.764709\pi\)
\(282\) −11.5261 + 12.8011i −0.686371 + 0.762292i
\(283\) −4.90256 5.44485i −0.291427 0.323663i 0.579597 0.814904i \(-0.303210\pi\)
−0.871024 + 0.491241i \(0.836543\pi\)
\(284\) 28.5198 + 64.0565i 1.69234 + 3.80105i
\(285\) −4.34802 −0.257555
\(286\) −11.8209 + 29.7235i −0.698986 + 1.75758i
\(287\) −9.17932 −0.541838
\(288\) 6.48053 + 14.5555i 0.381869 + 0.857692i
\(289\) −6.40722 7.11594i −0.376895 0.418585i
\(290\) −18.5101 + 20.5575i −1.08695 + 1.20718i
\(291\) −4.53377 6.24021i −0.265775 0.365807i
\(292\) 18.1378 40.7383i 1.06144 2.38403i
\(293\) −3.94880 3.55552i −0.230691 0.207715i 0.545676 0.837996i \(-0.316273\pi\)
−0.776367 + 0.630281i \(0.782940\pi\)
\(294\) 3.13352 + 1.01814i 0.182750 + 0.0593792i
\(295\) −0.327876 + 3.11953i −0.0190897 + 0.181626i
\(296\) 18.1089 31.3656i 1.05256 1.82309i
\(297\) −1.18959 3.09595i −0.0690270 0.179645i
\(298\) −45.1112 −2.61322
\(299\) 9.11180 + 16.2413i 0.526949 + 0.939258i
\(300\) −6.40755 + 19.7204i −0.369940 + 1.13856i
\(301\) −2.85754 + 13.4437i −0.164706 + 0.774880i
\(302\) −1.73369 16.4950i −0.0997628 0.949180i
\(303\) 8.95065 + 3.98509i 0.514202 + 0.228937i
\(304\) 51.2964 16.6672i 2.94205 0.955931i
\(305\) 1.53362 + 7.21512i 0.0878149 + 0.413137i
\(306\) −7.24879 0.761879i −0.414386 0.0435537i
\(307\) 3.26552i 0.186373i −0.995649 0.0931865i \(-0.970295\pi\)
0.995649 0.0931865i \(-0.0297053\pi\)
\(308\) −6.41077 + 40.5623i −0.365287 + 2.31125i
\(309\) −5.88329 + 10.1902i −0.334689 + 0.579698i
\(310\) −0.276813 0.621733i −0.0157219 0.0353121i
\(311\) −8.14955 + 25.0817i −0.462119 + 1.42226i 0.400451 + 0.916318i \(0.368853\pi\)
−0.862570 + 0.505938i \(0.831147\pi\)
\(312\) −30.2243 3.55395i −1.71111 0.201203i
\(313\) −11.6916 + 8.49443i −0.660847 + 0.480133i −0.866949 0.498397i \(-0.833922\pi\)
0.206102 + 0.978531i \(0.433922\pi\)
\(314\) 45.1301 4.74337i 2.54684 0.267684i
\(315\) 2.32317 + 0.493805i 0.130896 + 0.0278228i
\(316\) −12.9502 + 2.75264i −0.728503 + 0.154848i
\(317\) 3.51417 4.83684i 0.197375 0.271664i −0.698845 0.715273i \(-0.746302\pi\)
0.896220 + 0.443609i \(0.146302\pi\)
\(318\) 28.7376 16.5917i 1.61153 0.930415i
\(319\) −15.7359 + 30.9085i −0.881041 + 1.73055i
\(320\) 17.8851i 0.999805i
\(321\) −0.432244 + 4.11253i −0.0241255 + 0.229539i
\(322\) 22.2035 + 24.6595i 1.23735 + 1.37422i
\(323\) −2.49088 + 11.7187i −0.138596 + 0.652044i
\(324\) 4.17078 3.03025i 0.231710 0.168347i
\(325\) −9.56999 10.8957i −0.530848 0.604387i
\(326\) 0.444704 + 1.36866i 0.0246299 + 0.0758030i
\(327\) −1.45329 + 1.30855i −0.0803673 + 0.0723630i
\(328\) −29.4703 + 13.1210i −1.62722 + 0.724486i
\(329\) −7.73303 13.3940i −0.426336 0.738436i
\(330\) 0.456282 8.76148i 0.0251175 0.482303i
\(331\) −23.6406 + 13.6489i −1.29940 + 0.750212i −0.980301 0.197508i \(-0.936715\pi\)
−0.319103 + 0.947720i \(0.603382\pi\)
\(332\) 15.2990 + 1.60799i 0.839640 + 0.0882498i
\(333\) −4.08096 1.32599i −0.223635 0.0726636i
\(334\) −14.3752 + 15.9653i −0.786577 + 0.873582i
\(335\) 0.673829 + 6.41105i 0.0368152 + 0.350273i
\(336\) −29.3008 + 3.07964i −1.59849 + 0.168008i
\(337\) 4.28118 + 13.1761i 0.233211 + 0.717749i 0.997354 + 0.0727018i \(0.0231621\pi\)
−0.764143 + 0.645047i \(0.776838\pi\)
\(338\) 21.1273 27.6206i 1.14917 1.50236i
\(339\) −0.537794 0.390730i −0.0292090 0.0212216i
\(340\) −12.0304 6.94573i −0.652438 0.376685i
\(341\) −0.537216 0.662961i −0.0290919 0.0359013i
\(342\) −5.88064 10.1856i −0.317989 0.550773i
\(343\) −11.6207 + 15.9945i −0.627459 + 0.863623i
\(344\) 10.0423 + 47.2455i 0.541447 + 2.54731i
\(345\) −3.79575 3.41770i −0.204356 0.184003i
\(346\) 9.78820 + 13.4723i 0.526217 + 0.724275i
\(347\) −13.7247 6.11063i −0.736780 0.328036i 0.00380999 0.999993i \(-0.498787\pi\)
−0.740590 + 0.671957i \(0.765454\pi\)
\(348\) −52.7342 11.2090i −2.82685 0.600866i
\(349\) −11.5342 + 10.3855i −0.617414 + 0.555922i −0.917372 0.398030i \(-0.869694\pi\)
0.299958 + 0.953952i \(0.403027\pi\)
\(350\) −20.9049 15.1883i −1.11741 0.811847i
\(351\) 0.332647 + 3.59017i 0.0177554 + 0.191629i
\(352\) 13.6937 + 51.0386i 0.729879 + 2.72037i
\(353\) −0.336191 0.194100i −0.0178936 0.0103309i 0.491027 0.871145i \(-0.336622\pi\)
−0.508920 + 0.860814i \(0.669955\pi\)
\(354\) −7.75118 + 3.45105i −0.411971 + 0.183421i
\(355\) 13.1562 2.79644i 0.698259 0.148420i
\(356\) 66.6279 21.6487i 3.53127 1.14738i
\(357\) 2.66178 5.97845i 0.140876 0.316413i
\(358\) 17.1770 38.5801i 0.907832 2.03902i
\(359\) −9.20842 + 2.99200i −0.486002 + 0.157912i −0.541761 0.840533i \(-0.682242\pi\)
0.0557591 + 0.998444i \(0.482242\pi\)
\(360\) 8.16439 1.73540i 0.430301 0.0914634i
\(361\) −0.303324 + 0.135049i −0.0159644 + 0.00710783i
\(362\) 41.8894 + 24.1849i 2.20166 + 1.27113i
\(363\) −2.29410 10.7581i −0.120409 0.564655i
\(364\) 18.6594 40.5566i 0.978020 2.12574i
\(365\) −6.92027 5.02787i −0.362224 0.263171i
\(366\) −14.8278 + 13.3510i −0.775060 + 0.697867i
\(367\) −13.8474 2.94335i −0.722826 0.153641i −0.168214 0.985751i \(-0.553800\pi\)
−0.554612 + 0.832109i \(0.687133\pi\)
\(368\) 57.8819 + 25.7707i 3.01730 + 1.34339i
\(369\) 2.24650 + 3.09204i 0.116948 + 0.160965i
\(370\) −8.43527 7.59515i −0.438529 0.394853i
\(371\) 6.19450 + 29.1428i 0.321602 + 1.51302i
\(372\) 0.779620 1.07306i 0.0404214 0.0556353i
\(373\) 2.39579 + 4.14963i 0.124049 + 0.214860i 0.921361 0.388708i \(-0.127079\pi\)
−0.797312 + 0.603568i \(0.793745\pi\)
\(374\) −23.3523 6.24900i −1.20752 0.323128i
\(375\) 7.72663 + 4.46097i 0.399001 + 0.230364i
\(376\) −43.9724 31.9478i −2.26771 1.64758i
\(377\) 25.5732 27.7072i 1.31708 1.42699i
\(378\) 1.98528 + 6.11006i 0.102112 + 0.314268i
\(379\) 21.4276 2.25214i 1.10066 0.115684i 0.463266 0.886219i \(-0.346677\pi\)
0.637398 + 0.770535i \(0.280011\pi\)
\(380\) −2.34308 22.2929i −0.120197 1.14360i
\(381\) 11.0416 12.2630i 0.565680 0.628252i
\(382\) 26.7670 + 8.69712i 1.36952 + 0.444983i
\(383\) −22.9927 2.41663i −1.17487 0.123484i −0.503090 0.864234i \(-0.667803\pi\)
−0.671780 + 0.740750i \(0.734470\pi\)
\(384\) −14.3003 + 8.25631i −0.729761 + 0.421328i
\(385\) 7.35494 + 2.82053i 0.374843 + 0.143747i
\(386\) 24.1869 + 41.8929i 1.23108 + 2.13229i
\(387\) 5.22781 2.32757i 0.265745 0.118317i
\(388\) 29.5512 26.6080i 1.50023 1.35082i
\(389\) 7.05552 + 21.7147i 0.357729 + 1.10098i 0.954410 + 0.298499i \(0.0964859\pi\)
−0.596681 + 0.802479i \(0.703514\pi\)
\(390\) −3.05890 + 9.03381i −0.154893 + 0.457445i
\(391\) −11.3858 + 8.27227i −0.575804 + 0.418346i
\(392\) −2.16150 + 10.1691i −0.109172 + 0.513615i
\(393\) 12.6659 + 14.0669i 0.638908 + 0.709579i
\(394\) 0.204482 1.94551i 0.0103016 0.0980135i
\(395\) 2.53959i 0.127781i
\(396\) 15.2323 7.76753i 0.765450 0.390333i
\(397\) −26.6623 + 15.3935i −1.33814 + 0.772577i −0.986532 0.163570i \(-0.947699\pi\)
−0.351610 + 0.936146i \(0.614366\pi\)
\(398\) 35.5239 48.8944i 1.78065 2.45086i
\(399\) 10.3292 2.19554i 0.517107 0.109914i
\(400\) −48.2610 10.2582i −2.41305 0.512910i
\(401\) 3.75576 0.394746i 0.187554 0.0197127i −0.0102859 0.999947i \(-0.503274\pi\)
0.197840 + 0.980234i \(0.436607\pi\)
\(402\) −14.1070 + 10.2494i −0.703595 + 0.511192i
\(403\) 0.366826 + 0.852022i 0.0182729 + 0.0424423i
\(404\) −15.6087 + 48.0387i −0.776562 + 2.39001i
\(405\) −0.402223 0.903407i −0.0199866 0.0448906i
\(406\) 33.5922 58.1833i 1.66715 2.88759i
\(407\) −12.6825 6.45683i −0.628650 0.320053i
\(408\) 22.9986i 1.13860i
\(409\) 33.8615 + 3.55899i 1.67435 + 0.175981i 0.893599 0.448867i \(-0.148172\pi\)
0.780747 + 0.624848i \(0.214839\pi\)
\(410\) 2.10201 + 9.88919i 0.103811 + 0.488392i
\(411\) 1.87025 0.607680i 0.0922525 0.0299746i
\(412\) −55.4167 24.6731i −2.73018 1.21556i
\(413\) −0.796305 7.57634i −0.0391836 0.372807i
\(414\) 2.87254 13.5142i 0.141177 0.664188i
\(415\) 0.911850 2.80639i 0.0447610 0.137760i
\(416\) 0.708229 57.4428i 0.0347238 2.81637i
\(417\) −17.2235 −0.843439
\(418\) −13.9911 36.4123i −0.684327 1.78098i
\(419\) −5.82246 + 10.0848i −0.284446 + 0.492675i −0.972475 0.233009i \(-0.925143\pi\)
0.688029 + 0.725683i \(0.258476\pi\)
\(420\) −1.27988 + 12.1773i −0.0624520 + 0.594191i
\(421\) 15.0654 + 4.89504i 0.734241 + 0.238569i 0.652187 0.758058i \(-0.273852\pi\)
0.0820545 + 0.996628i \(0.473852\pi\)
\(422\) −7.94679 7.15532i −0.386844 0.348316i
\(423\) −2.61921 + 5.88283i −0.127350 + 0.286033i
\(424\) 61.5445 + 84.7087i 2.98886 + 4.11382i
\(425\) 7.33324 8.14439i 0.355715 0.395061i
\(426\) 24.3445 + 27.0373i 1.17949 + 1.30996i
\(427\) −7.28657 16.3659i −0.352622 0.792001i
\(428\) −21.3184 −1.03046
\(429\) −0.769101 + 11.9335i −0.0371325 + 0.576155i
\(430\) 15.1377 0.730003
\(431\) 12.0071 + 26.9685i 0.578364 + 1.29903i 0.931598 + 0.363491i \(0.118415\pi\)
−0.353234 + 0.935535i \(0.614918\pi\)
\(432\) 8.20829 + 9.11623i 0.394922 + 0.438605i
\(433\) 10.8107 12.0065i 0.519530 0.576997i −0.425095 0.905149i \(-0.639759\pi\)
0.944625 + 0.328152i \(0.106426\pi\)
\(434\) 0.971545 + 1.33722i 0.0466356 + 0.0641885i
\(435\) −4.20625 + 9.44739i −0.201674 + 0.452967i
\(436\) −7.49227 6.74607i −0.358814 0.323078i
\(437\) −21.5981 7.01765i −1.03318 0.335700i
\(438\) 2.41860 23.0114i 0.115565 1.09953i
\(439\) 8.25681 14.3012i 0.394076 0.682560i −0.598907 0.800819i \(-0.704398\pi\)
0.992983 + 0.118259i \(0.0377313\pi\)
\(440\) 27.6448 1.45791i 1.31791 0.0695032i
\(441\) 1.23171 0.0586530
\(442\) 22.5953 + 13.4195i 1.07475 + 0.638301i
\(443\) −7.65225 + 23.5512i −0.363569 + 1.11895i 0.587303 + 0.809367i \(0.300190\pi\)
−0.950872 + 0.309584i \(0.899810\pi\)
\(444\) 4.59934 21.6382i 0.218275 1.02690i
\(445\) −1.40468 13.3646i −0.0665882 0.633545i
\(446\) −67.4276 30.0207i −3.19279 1.42152i
\(447\) −16.0389 + 5.21136i −0.758615 + 0.246489i
\(448\) −9.03108 42.4879i −0.426678 2.00736i
\(449\) −33.5437 3.52559i −1.58303 0.166383i −0.728225 0.685338i \(-0.759654\pi\)
−0.854801 + 0.518955i \(0.826321\pi\)
\(450\) 10.7589i 0.507177i
\(451\) 5.75851 + 11.2925i 0.271158 + 0.531745i
\(452\) 1.71352 2.96790i 0.0805971 0.139598i
\(453\) −2.52194 5.66437i −0.118491 0.266135i
\(454\) 17.8002 54.7834i 0.835405 2.57111i
\(455\) −6.86539 5.11849i −0.321854 0.239959i
\(456\) 30.0236 21.8134i 1.40598 1.02151i
\(457\) −8.87447 + 0.932744i −0.415130 + 0.0436319i −0.309792 0.950804i \(-0.600259\pi\)
−0.105338 + 0.994436i \(0.533593\pi\)
\(458\) 0.616075 + 0.130951i 0.0287873 + 0.00611893i
\(459\) −2.66526 + 0.566519i −0.124404 + 0.0264428i
\(460\) 15.4775 21.3030i 0.721644 0.993258i
\(461\) −31.7983 + 18.3587i −1.48099 + 0.855052i −0.999768 0.0215454i \(-0.993141\pi\)
−0.481225 + 0.876597i \(0.659808\pi\)
\(462\) 3.34017 + 21.0442i 0.155399 + 0.979066i
\(463\) 13.8331i 0.642877i 0.946930 + 0.321438i \(0.104166\pi\)
−0.946930 + 0.321438i \(0.895834\pi\)
\(464\) 13.4093 127.581i 0.622510 5.92278i
\(465\) −0.170243 0.189074i −0.00789482 0.00876808i
\(466\) 0.126961 0.597302i 0.00588133 0.0276695i
\(467\) 27.1084 19.6954i 1.25443 0.911395i 0.255957 0.966688i \(-0.417609\pi\)
0.998470 + 0.0552930i \(0.0176093\pi\)
\(468\) −18.2280 + 3.64021i −0.842591 + 0.168269i
\(469\) −4.83802 14.8899i −0.223399 0.687552i
\(470\) −12.6590 + 11.3982i −0.583916 + 0.525760i
\(471\) 15.4977 6.90000i 0.714094 0.317935i
\(472\) −13.3862 23.1856i −0.616151 1.06720i
\(473\) 18.3312 4.91830i 0.842871 0.226143i
\(474\) −5.94918 + 3.43476i −0.273255 + 0.157764i
\(475\) 17.5875 + 1.84852i 0.806968 + 0.0848158i
\(476\) 32.0867 + 10.4256i 1.47069 + 0.477856i
\(477\) 8.30070 9.21887i 0.380063 0.422103i
\(478\) 8.18315 + 77.8574i 0.374288 + 3.56112i
\(479\) −8.88834 + 0.934202i −0.406119 + 0.0426848i −0.305386 0.952229i \(-0.598785\pi\)
−0.100733 + 0.994914i \(0.532119\pi\)
\(480\) 4.86892 + 14.9850i 0.222235 + 0.683968i
\(481\) 11.3689 + 10.4933i 0.518379 + 0.478454i
\(482\) −0.534077 0.388030i −0.0243265 0.0176743i
\(483\) 10.7430 + 6.20246i 0.488822 + 0.282222i
\(484\) 53.9220 17.5595i 2.45100 0.798160i
\(485\) −3.81386 6.60579i −0.173178 0.299954i
\(486\) 1.57230 2.16408i 0.0713209 0.0981648i
\(487\) 2.95550 + 13.9045i 0.133926 + 0.630074i 0.992989 + 0.118204i \(0.0377137\pi\)
−0.859063 + 0.511870i \(0.828953\pi\)
\(488\) −46.7871 42.1273i −2.11795 1.90701i
\(489\) 0.316222 + 0.435242i 0.0143000 + 0.0196823i
\(490\) 2.97652 + 1.32523i 0.134466 + 0.0598679i
\(491\) 29.0834 + 6.18186i 1.31251 + 0.278983i 0.810430 0.585836i \(-0.199234\pi\)
0.502084 + 0.864819i \(0.332567\pi\)
\(492\) −14.6427 + 13.1843i −0.660143 + 0.594396i
\(493\) 23.0527 + 16.7487i 1.03824 + 0.754326i
\(494\) 3.91236 + 42.2251i 0.176025 + 1.89980i
\(495\) −0.849920 3.16778i −0.0382011 0.142381i
\(496\) 2.73324 + 1.57804i 0.122726 + 0.0708559i
\(497\) −29.8419 + 13.2865i −1.33859 + 0.595980i
\(498\) 7.80744 1.65952i 0.349860 0.0743650i
\(499\) −8.74148 + 2.84028i −0.391323 + 0.127148i −0.498068 0.867138i \(-0.665957\pi\)
0.106745 + 0.994286i \(0.465957\pi\)
\(500\) −18.7082 + 42.0194i −0.836657 + 1.87916i
\(501\) −3.26664 + 7.33698i −0.145943 + 0.327792i
\(502\) 15.3661 4.99275i 0.685822 0.222837i
\(503\) −35.5024 + 7.54627i −1.58297 + 0.336472i −0.913651 0.406499i \(-0.866749\pi\)
−0.669324 + 0.742971i \(0.733416\pi\)
\(504\) −18.5191 + 8.24524i −0.824907 + 0.367272i
\(505\) 8.39090 + 4.84449i 0.373390 + 0.215577i
\(506\) 16.4074 42.7848i 0.729398 1.90202i
\(507\) 4.32083 12.2609i 0.191895 0.544527i
\(508\) 68.8240 + 50.0036i 3.05357 + 2.21855i
\(509\) −8.55607 + 7.70392i −0.379241 + 0.341470i −0.836602 0.547811i \(-0.815461\pi\)
0.457361 + 0.889281i \(0.348795\pi\)
\(510\) −7.05032 1.49859i −0.312193 0.0663588i
\(511\) 18.9787 + 8.44985i 0.839568 + 0.373800i
\(512\) 6.83508 + 9.40768i 0.302071 + 0.415765i
\(513\) −3.26747 2.94205i −0.144263 0.129895i
\(514\) −11.3156 53.2358i −0.499110 2.34813i
\(515\) −6.83947 + 9.41372i −0.301383 + 0.414818i
\(516\) 14.7509 + 25.5494i 0.649374 + 1.12475i
\(517\) −11.6263 + 17.9158i −0.511324 + 0.787937i
\(518\) 23.8741 + 13.7837i 1.04897 + 0.605621i
\(519\) 5.03646 + 3.65920i 0.221076 + 0.160621i
\(520\) −29.3578 6.61949i −1.28742 0.290284i
\(521\) −1.68568 5.18800i −0.0738511 0.227290i 0.907317 0.420448i \(-0.138127\pi\)
−0.981168 + 0.193158i \(0.938127\pi\)
\(522\) −27.8201 + 2.92401i −1.21765 + 0.127981i
\(523\) −1.16048 11.0412i −0.0507442 0.482799i −0.990152 0.139997i \(-0.955291\pi\)
0.939408 0.342802i \(-0.111376\pi\)
\(524\) −65.2972 + 72.5198i −2.85252 + 3.16804i
\(525\) −9.18713 2.98508i −0.400959 0.130280i
\(526\) −7.58040 0.796732i −0.330521 0.0347392i
\(527\) −0.607114 + 0.350518i −0.0264463 + 0.0152688i
\(528\) 22.1701 + 34.1143i 0.964828 + 1.48464i
\(529\) −1.83862 3.18459i −0.0799402 0.138460i
\(530\) 29.9780 13.3471i 1.30216 0.579760i
\(531\) −2.35719 + 2.12243i −0.102293 + 0.0921055i
\(532\) 16.8230 + 51.7760i 0.729371 + 2.24477i
\(533\) −2.69869 13.5135i −0.116893 0.585334i
\(534\) 29.4079 21.3661i 1.27260 0.924600i
\(535\) −0.850211 + 3.99993i −0.0367578 + 0.172932i
\(536\) −36.8162 40.8886i −1.59022 1.76612i
\(537\) 1.65026 15.7012i 0.0712139 0.677555i
\(538\) 71.3638i 3.07671i
\(539\) 4.03505 + 0.637729i 0.173802 + 0.0274689i
\(540\) 4.41513 2.54908i 0.189997 0.109695i
\(541\) 19.9103 27.4041i 0.856009 1.17820i −0.126497 0.991967i \(-0.540373\pi\)
0.982506 0.186229i \(-0.0596266\pi\)
\(542\) 18.5297 3.93860i 0.795917 0.169177i
\(543\) 17.6873 + 3.75956i 0.759036 + 0.161338i
\(544\) 43.1764 4.53803i 1.85117 0.194566i
\(545\) −1.56455 + 1.13671i −0.0670181 + 0.0486915i
\(546\) 2.70511 23.0054i 0.115768 0.984539i
\(547\) −2.50279 + 7.70281i −0.107012 + 0.329348i −0.990197 0.139675i \(-0.955394\pi\)
0.883186 + 0.469024i \(0.155394\pi\)
\(548\) 4.12350 + 9.26153i 0.176147 + 0.395633i
\(549\) −3.72955 + 6.45977i −0.159173 + 0.275696i
\(550\) −5.57048 + 35.2456i −0.237526 + 1.50288i
\(551\) 45.9798i 1.95881i
\(552\) 43.3562 + 4.55692i 1.84536 + 0.193955i
\(553\) −1.28237 6.03307i −0.0545319 0.256552i
\(554\) 64.6322 21.0003i 2.74596 0.892216i
\(555\) −3.87650 1.72593i −0.164548 0.0732616i
\(556\) −9.28146 88.3072i −0.393621 3.74506i
\(557\) −7.62177 + 35.8576i −0.322945 + 1.51934i 0.454707 + 0.890641i \(0.349744\pi\)
−0.777652 + 0.628695i \(0.783589\pi\)
\(558\) 0.212668 0.654526i 0.00900297 0.0277083i
\(559\) −20.6314 0.254370i −0.872615 0.0107587i
\(560\) −29.1352 −1.23119
\(561\) −9.02461 + 0.475934i −0.381019 + 0.0200940i
\(562\) −4.96121 + 8.59306i −0.209276 + 0.362477i
\(563\) 0.578170 5.50092i 0.0243669 0.231836i −0.975560 0.219734i \(-0.929481\pi\)
0.999927 0.0121020i \(-0.00385227\pi\)
\(564\) −31.5735 10.2589i −1.32948 0.431976i
\(565\) −0.488523 0.439868i −0.0205523 0.0185054i
\(566\) 7.97153 17.9044i 0.335068 0.752576i
\(567\) 1.41170 + 1.94304i 0.0592858 + 0.0815999i
\(568\) −76.8158 + 85.3126i −3.22312 + 3.57964i
\(569\) 5.38911 + 5.98521i 0.225923 + 0.250913i 0.845440 0.534070i \(-0.179338\pi\)
−0.619517 + 0.784983i \(0.712672\pi\)
\(570\) −4.73065 10.6252i −0.198145 0.445042i
\(571\) −17.2248 −0.720834 −0.360417 0.932791i \(-0.617366\pi\)
−0.360417 + 0.932791i \(0.617366\pi\)
\(572\) −61.5991 + 2.48748i −2.57559 + 0.104007i
\(573\) 10.5215 0.439541
\(574\) −9.98712 22.4314i −0.416854 0.936270i
\(575\) 13.9005 + 15.4381i 0.579692 + 0.643813i
\(576\) −12.1017 + 13.4404i −0.504239 + 0.560015i
\(577\) −15.4783 21.3041i −0.644370 0.886900i 0.354469 0.935068i \(-0.384662\pi\)
−0.998839 + 0.0481681i \(0.984662\pi\)
\(578\) 10.4181 23.3994i 0.433336 0.973288i
\(579\) 13.4390 + 12.1006i 0.558507 + 0.502882i
\(580\) −50.7046 16.4749i −2.10540 0.684085i
\(581\) −0.749111 + 7.12731i −0.0310784 + 0.295691i
\(582\) 10.3164 17.8685i 0.427628 0.740673i
\(583\) 31.9659 25.9029i 1.32389 1.07279i
\(584\) 73.0094 3.02115
\(585\) −0.0439572 + 3.56526i −0.00181741 + 0.147406i
\(586\) 4.39228 13.5181i 0.181443 0.558426i
\(587\) 1.79818 8.45979i 0.0742190 0.349173i −0.925331 0.379160i \(-0.876213\pi\)
0.999550 + 0.0299866i \(0.00954647\pi\)
\(588\) 0.663749 + 6.31515i 0.0273726 + 0.260433i
\(589\) −1.03341 0.460105i −0.0425810 0.0189583i
\(590\) −7.97989 + 2.59283i −0.328527 + 0.106745i
\(591\) −0.152049 0.715333i −0.00625445 0.0294249i
\(592\) 52.3495 + 5.50216i 2.15155 + 0.226137i
\(593\) 5.13101i 0.210705i −0.994435 0.105353i \(-0.966403\pi\)
0.994435 0.105353i \(-0.0335971\pi\)
\(594\) 6.27126 6.27538i 0.257313 0.257482i
\(595\) 3.23580 5.60457i 0.132655 0.229765i
\(596\) −35.3624 79.4253i −1.44850 3.25339i
\(597\) 6.98181 21.4878i 0.285746 0.879437i
\(598\) −29.7750 + 39.9370i −1.21759 + 1.63314i
\(599\) 2.83114 2.05694i 0.115677 0.0840444i −0.528443 0.848969i \(-0.677224\pi\)
0.644120 + 0.764925i \(0.277224\pi\)
\(600\) −33.7622 + 3.54855i −1.37834 + 0.144869i
\(601\) −17.1222 3.63945i −0.698431 0.148456i −0.155006 0.987914i \(-0.549540\pi\)
−0.543425 + 0.839458i \(0.682873\pi\)
\(602\) −35.9611 + 7.64378i −1.46567 + 0.311537i
\(603\) −3.83160 + 5.27375i −0.156035 + 0.214764i
\(604\) 27.6829 15.9828i 1.12640 0.650329i
\(605\) −1.14416 10.8176i −0.0465168 0.439797i
\(606\) 26.2084i 1.06464i
\(607\) 4.45686 42.4042i 0.180898 1.72113i −0.408047 0.912961i \(-0.633790\pi\)
0.588945 0.808173i \(-0.299543\pi\)
\(608\) 46.8756 + 52.0606i 1.90106 + 2.11134i
\(609\) 5.22193 24.5672i 0.211603 0.995515i
\(610\) −15.9629 + 11.5978i −0.646321 + 0.469579i
\(611\) 17.4447 15.3221i 0.705737 0.619866i
\(612\) −4.34088 13.3598i −0.175470 0.540040i
\(613\) 15.7775 14.2061i 0.637248 0.573780i −0.285884 0.958264i \(-0.592287\pi\)
0.923132 + 0.384484i \(0.125621\pi\)
\(614\) 7.97992 3.55289i 0.322043 0.143383i
\(615\) 1.88978 + 3.27319i 0.0762031 + 0.131988i
\(616\) −64.9369 + 17.4227i −2.61638 + 0.701979i
\(617\) −26.9117 + 15.5375i −1.08342 + 0.625515i −0.931818 0.362926i \(-0.881778\pi\)
−0.151606 + 0.988441i \(0.548444\pi\)
\(618\) −31.3026 3.29004i −1.25918 0.132345i
\(619\) 0.873768 + 0.283904i 0.0351197 + 0.0114111i 0.326524 0.945189i \(-0.394123\pi\)
−0.291404 + 0.956600i \(0.594123\pi\)
\(620\) 0.877664 0.974745i 0.0352479 0.0391467i
\(621\) −0.539890 5.13671i −0.0216650 0.206129i
\(622\) −70.1588 + 7.37398i −2.81311 + 0.295670i
\(623\) 10.0855 + 31.0399i 0.404065 + 1.24359i
\(624\) −13.1481 42.2302i −0.526345 1.69056i
\(625\) −9.13173 6.63459i −0.365269 0.265384i
\(626\) −33.4782 19.3286i −1.33806 0.772528i
\(627\) −9.18085 11.3298i −0.366648 0.452468i
\(628\) 43.7286 + 75.7402i 1.74496 + 3.02236i
\(629\) −6.87243 + 9.45909i −0.274022 + 0.377159i
\(630\) 1.32090 + 6.21437i 0.0526261 + 0.247586i
\(631\) −18.5380 16.6917i −0.737986 0.664485i 0.211826 0.977307i \(-0.432059\pi\)
−0.949812 + 0.312822i \(0.898726\pi\)
\(632\) −12.7408 17.5362i −0.506801 0.697551i
\(633\) −3.65201 1.62598i −0.145155 0.0646269i
\(634\) 15.6432 + 3.32506i 0.621269 + 0.132055i
\(635\) 12.1269 10.9191i 0.481241 0.433311i
\(636\) 51.7394 + 37.5909i 2.05160 + 1.49058i
\(637\) −4.03448 1.85620i −0.159852 0.0735453i
\(638\) −92.6516 4.82513i −3.66811 0.191029i
\(639\) 11.7789 + 6.80054i 0.465965 + 0.269025i
\(640\) −14.9176 + 6.64175i −0.589670 + 0.262538i
\(641\) −28.7000 + 6.10038i −1.13358 + 0.240951i −0.736241 0.676720i \(-0.763401\pi\)
−0.397343 + 0.917670i \(0.630068\pi\)
\(642\) −10.5200 + 3.41817i −0.415193 + 0.134904i
\(643\) −8.34449 + 18.7420i −0.329075 + 0.739113i −0.999997 0.00241396i \(-0.999232\pi\)
0.670923 + 0.741527i \(0.265898\pi\)
\(644\) −26.0116 + 58.4230i −1.02500 + 2.30219i
\(645\) 5.38207 1.74874i 0.211919 0.0688565i
\(646\) −31.3469 + 6.66299i −1.23333 + 0.262152i
\(647\) 22.3572 9.95408i 0.878953 0.391335i 0.0828973 0.996558i \(-0.473583\pi\)
0.796056 + 0.605223i \(0.206916\pi\)
\(648\) 7.30966 + 4.22023i 0.287150 + 0.165786i
\(649\) −8.82098 + 5.73253i −0.346254 + 0.225022i
\(650\) 16.2137 35.2407i 0.635952 1.38225i
\(651\) 0.499903 + 0.363201i 0.0195927 + 0.0142350i
\(652\) −2.06113 + 1.85585i −0.0807202 + 0.0726808i
\(653\) 20.4856 + 4.35434i 0.801662 + 0.170398i 0.590484 0.807049i \(-0.298937\pi\)
0.211178 + 0.977448i \(0.432270\pi\)
\(654\) −4.77888 2.12769i −0.186869 0.0831994i
\(655\) 11.0026 + 15.1438i 0.429907 + 0.591716i
\(656\) −34.8420 31.3719i −1.36035 1.22487i
\(657\) −1.79842 8.46091i −0.0701631 0.330091i
\(658\) 24.3173 33.4698i 0.947986 1.30479i
\(659\) −14.5611 25.2205i −0.567218 0.982451i −0.996840 0.0794415i \(-0.974686\pi\)
0.429621 0.903009i \(-0.358647\pi\)
\(660\) 15.7836 6.06471i 0.614376 0.236069i
\(661\) 3.73833 + 2.15832i 0.145404 + 0.0839491i 0.570937 0.820994i \(-0.306580\pi\)
−0.425533 + 0.904943i \(0.639913\pi\)
\(662\) −59.0747 42.9203i −2.29600 1.66814i
\(663\) 9.58382 + 2.16093i 0.372205 + 0.0839235i
\(664\) 7.78282 + 23.9531i 0.302032 + 0.929559i
\(665\) 10.3856 1.09157i 0.402734 0.0423291i
\(666\) −1.19979 11.4153i −0.0464911 0.442333i
\(667\) −36.1418 + 40.1395i −1.39942 + 1.55421i
\(668\) −39.3780 12.7947i −1.52358 0.495041i
\(669\) −27.4414 2.88421i −1.06095 0.111510i
\(670\) −14.9335 + 8.62186i −0.576932 + 0.333092i
\(671\) −15.5625 + 19.2309i −0.600782 + 0.742402i
\(672\) −19.1333 33.1399i −0.738084 1.27840i
\(673\) 40.1655 17.8828i 1.54827 0.689333i 0.558171 0.829726i \(-0.311503\pi\)
0.990096 + 0.140393i \(0.0448367\pi\)
\(674\) −27.5404 + 24.7975i −1.06082 + 0.955164i
\(675\) 1.24289 + 3.82522i 0.0478388 + 0.147233i
\(676\) 65.1918 + 15.5462i 2.50738 + 0.597932i
\(677\) 12.6242 9.17204i 0.485189 0.352510i −0.318142 0.948043i \(-0.603059\pi\)
0.803331 + 0.595533i \(0.203059\pi\)
\(678\) 0.369703 1.73932i 0.0141984 0.0667981i
\(679\) 12.3958 + 13.7670i 0.475708 + 0.528327i
\(680\) 2.37733 22.6188i 0.0911664 0.867390i
\(681\) 21.5341i 0.825188i
\(682\) 1.03558 2.03409i 0.0396544 0.0778894i
\(683\) 14.5664 8.40993i 0.557369 0.321797i −0.194720 0.980859i \(-0.562380\pi\)
0.752089 + 0.659062i \(0.229046\pi\)
\(684\) 13.3235 18.3382i 0.509436 0.701178i
\(685\) 1.90217 0.404319i 0.0726783 0.0154482i
\(686\) −51.7290 10.9953i −1.97502 0.419804i
\(687\) 0.234168 0.0246120i 0.00893406 0.000939008i
\(688\) −56.7923 + 41.2620i −2.16519 + 1.57310i
\(689\) −41.0819 + 17.6872i −1.56510 + 0.673830i
\(690\) 4.22204 12.9941i 0.160730 0.494677i
\(691\) −17.6683 39.6837i −0.672135 1.50964i −0.850666 0.525706i \(-0.823801\pi\)
0.178531 0.983934i \(-0.442866\pi\)
\(692\) −16.0471 + 27.7945i −0.610021 + 1.05659i
\(693\) 3.61865 + 7.09623i 0.137461 + 0.269564i
\(694\) 40.1873i 1.52549i
\(695\) −16.9391 1.78037i −0.642535 0.0675331i
\(696\) −18.3516 86.3375i −0.695615 3.27261i
\(697\) 9.90442 3.21814i 0.375157 0.121896i
\(698\) −37.9282 16.8867i −1.43560 0.639171i
\(699\) −0.0238621 0.227033i −0.000902547 0.00858716i
\(700\) 10.3541 48.7122i 0.391348 1.84115i
\(701\) −5.91284 + 18.1979i −0.223325 + 0.687324i 0.775132 + 0.631799i \(0.217683\pi\)
−0.998457 + 0.0555248i \(0.982317\pi\)
\(702\) −8.41135 + 4.71900i −0.317466 + 0.178107i
\(703\) −18.8667 −0.711570
\(704\) −46.6037 + 37.7643i −1.75644 + 1.42330i
\(705\) −3.18405 + 5.51493i −0.119918 + 0.207704i
\(706\) 0.108544 1.03273i 0.00408511 0.0388672i
\(707\) −22.3797 7.27161i −0.841675 0.273477i
\(708\) −12.1522 10.9419i −0.456708 0.411222i
\(709\) 7.52363 16.8983i 0.282556 0.634630i −0.715388 0.698727i \(-0.753750\pi\)
0.997944 + 0.0640970i \(0.0204167\pi\)
\(710\) 21.1476 + 29.1072i 0.793655 + 1.09237i
\(711\) −1.71839 + 1.90846i −0.0644446 + 0.0715730i
\(712\) 76.7480 + 85.2373i 2.87625 + 3.19440i
\(713\) −0.540491 1.21396i −0.0202415 0.0454633i
\(714\) 17.5055 0.655127
\(715\) −1.98995 + 11.6569i −0.0744197 + 0.435944i
\(716\) 81.3912 3.04173
\(717\) 11.9037 + 26.7362i 0.444553 + 0.998482i
\(718\) −17.3303 19.2472i −0.646760 0.718300i
\(719\) −1.82349 + 2.02519i −0.0680048 + 0.0755270i −0.776187 0.630503i \(-0.782849\pi\)
0.708182 + 0.706030i \(0.249515\pi\)
\(720\) 7.13040 + 9.81415i 0.265734 + 0.365752i
\(721\) 11.4944 25.8169i 0.428075 0.961471i
\(722\) −0.660035 0.594298i −0.0245639 0.0221175i
\(723\) −0.234713 0.0762628i −0.00872906 0.00283624i
\(724\) −9.74433 + 92.7112i −0.362145 + 3.44558i
\(725\) 21.0304 36.4258i 0.781051 1.35282i
\(726\) 23.7935 17.3109i 0.883061 0.642468i
\(727\) 6.84723 0.253950 0.126975 0.991906i \(-0.459473\pi\)
0.126975 + 0.991906i \(0.459473\pi\)
\(728\) 73.0850 + 0.901087i 2.70871 + 0.0333965i
\(729\) 0.309017 0.951057i 0.0114451 0.0352243i
\(730\) 4.75730 22.3813i 0.176076 0.828371i
\(731\) −1.62989 15.5074i −0.0602838 0.573562i
\(732\) −35.1298 15.6408i −1.29844 0.578101i
\(733\) 14.6162 4.74909i 0.539861 0.175412i −0.0263786 0.999652i \(-0.508398\pi\)
0.566240 + 0.824240i \(0.308398\pi\)
\(734\) −7.87331 37.0410i −0.290609 1.36721i
\(735\) 1.21137 + 0.127320i 0.0446821 + 0.00469628i
\(736\) 82.2939i 3.03339i
\(737\) −15.2827 + 15.2928i −0.562946 + 0.563316i
\(738\) −5.11179 + 8.85389i −0.188168 + 0.325916i
\(739\) −0.908374 2.04024i −0.0334151 0.0750515i 0.896067 0.443919i \(-0.146412\pi\)
−0.929482 + 0.368868i \(0.879746\pi\)
\(740\) 6.76008 20.8054i 0.248505 0.764821i
\(741\) 6.26895 + 14.5608i 0.230295 + 0.534904i
\(742\) −64.4765 + 46.8449i −2.36701 + 1.71973i
\(743\) 49.4232 5.19459i 1.81316 0.190571i 0.863605 0.504169i \(-0.168201\pi\)
0.949556 + 0.313598i \(0.101535\pi\)
\(744\) 2.12410 + 0.451492i 0.0778734 + 0.0165525i
\(745\) −16.3127 + 3.46737i −0.597652 + 0.127035i
\(746\) −7.53379 + 10.3694i −0.275832 + 0.379650i
\(747\) 2.58416 1.49196i 0.0945493 0.0545881i
\(748\) −7.30338 46.0139i −0.267038 1.68243i
\(749\) 9.93157i 0.362892i
\(750\) −2.49465 + 23.7350i −0.0910918 + 0.866681i
\(751\) 29.7891 + 33.0841i 1.08702 + 1.20726i 0.976980 + 0.213330i \(0.0684309\pi\)
0.110039 + 0.993927i \(0.464902\pi\)
\(752\) 16.4239 77.2686i 0.598920 2.81770i
\(753\) 4.88651 3.55026i 0.178074 0.129379i
\(754\) 95.5314 + 32.3475i 3.47905 + 1.17802i
\(755\) −1.89477 5.83151i −0.0689578 0.212230i
\(756\) −9.20146 + 8.28503i −0.334654 + 0.301324i
\(757\) −29.3424 + 13.0641i −1.06647 + 0.474822i −0.863492 0.504362i \(-0.831728\pi\)
−0.202975 + 0.979184i \(0.565061\pi\)
\(758\) 28.8168 + 49.9122i 1.04667 + 1.81289i
\(759\) 0.890912 17.1072i 0.0323381 0.620952i
\(760\) 31.7826 18.3497i 1.15287 0.665612i
\(761\) 31.6100 + 3.32235i 1.14586 + 0.120435i 0.658372 0.752693i \(-0.271246\pi\)
0.487491 + 0.873128i \(0.337912\pi\)
\(762\) 41.9803 + 13.6402i 1.52078 + 0.494133i
\(763\) 3.14278 3.49041i 0.113776 0.126361i
\(764\) 5.66985 + 53.9450i 0.205128 + 1.95166i
\(765\) −2.67980 + 0.281659i −0.0968884 + 0.0101834i
\(766\) −19.1106 58.8162i −0.690492 2.12512i
\(767\) 10.9195 3.39971i 0.394281 0.122757i
\(768\) −6.47125 4.70164i −0.233511 0.169656i
\(769\) −8.25780 4.76764i −0.297784 0.171926i 0.343663 0.939093i \(-0.388332\pi\)
−0.641447 + 0.767167i \(0.721666\pi\)
\(770\) 1.10970 + 21.0419i 0.0399907 + 0.758299i
\(771\) −10.1731 17.6203i −0.366375 0.634580i
\(772\) −54.7990 + 75.4244i −1.97226 + 2.71458i
\(773\) 0.0204149 + 0.0960446i 0.000734273 + 0.00345448i 0.978513 0.206184i \(-0.0661046\pi\)
−0.977779 + 0.209639i \(0.932771\pi\)
\(774\) 11.3757 + 10.2428i 0.408892 + 0.368168i
\(775\) 0.608238 + 0.837167i 0.0218485 + 0.0300719i
\(776\) 59.4755 + 26.4802i 2.13504 + 0.950583i
\(777\) 10.0805 + 2.14269i 0.361638 + 0.0768685i
\(778\) −45.3875 + 40.8671i −1.62722 + 1.46516i
\(779\) 13.5951 + 9.87745i 0.487096 + 0.353896i
\(780\) −18.3033 + 1.69589i −0.655362 + 0.0607225i
\(781\) 35.0661 + 28.3769i 1.25476 + 1.01541i
\(782\) −32.6026 18.8231i −1.16587 0.673114i
\(783\) −9.55341 + 4.25345i −0.341411 + 0.152006i
\(784\) −14.7794 + 3.14145i −0.527835 + 0.112195i
\(785\) 15.9549 5.18408i 0.569456 0.185028i
\(786\) −20.5946 + 46.2562i −0.734584 + 1.64990i
\(787\) 5.64779 12.6851i 0.201322 0.452176i −0.784466 0.620172i \(-0.787063\pi\)
0.985788 + 0.167996i \(0.0537295\pi\)
\(788\) 3.58567 1.16505i 0.127734 0.0415033i
\(789\) −2.78719 + 0.592435i −0.0992265 + 0.0210912i
\(790\) −6.20597 + 2.76308i −0.220799 + 0.0983059i
\(791\) 1.38265 + 0.798274i 0.0491614 + 0.0283834i
\(792\) 21.7611 + 17.6100i 0.773247 + 0.625743i
\(793\) 21.9511 15.5385i 0.779505 0.551790i
\(794\) −66.6255 48.4063i −2.36445 1.71787i
\(795\) 9.11655 8.20858i 0.323331 0.291128i
\(796\) 113.933 + 24.2172i 4.03825 + 0.858357i
\(797\) −22.9041 10.1976i −0.811305 0.361216i −0.0412141 0.999150i \(-0.513123\pi\)
−0.770091 + 0.637934i \(0.779789\pi\)
\(798\) 16.6034 + 22.8526i 0.587754 + 0.808974i
\(799\) 13.0396 + 11.7409i 0.461309 + 0.415364i
\(800\) −13.3237 62.6833i −0.471065 2.21619i
\(801\) 7.98746 10.9938i 0.282223 0.388447i
\(802\) 5.05091 + 8.74843i 0.178354 + 0.308918i
\(803\) −1.51086 28.6488i −0.0533171 1.01099i
\(804\) −29.1040 16.8032i −1.02642 0.592603i
\(805\) 9.92441 + 7.21050i 0.349789 + 0.254137i
\(806\) −1.68297 + 1.82341i −0.0592801 + 0.0642269i
\(807\) 8.24412 + 25.3728i 0.290207 + 0.893165i
\(808\) −82.2442 + 8.64422i −2.89334 + 0.304102i
\(809\) −2.68118 25.5097i −0.0942652 0.896874i −0.934814 0.355138i \(-0.884434\pi\)
0.840549 0.541736i \(-0.182233\pi\)
\(810\) 1.77003 1.96581i 0.0621924 0.0690717i
\(811\) −30.1618 9.80016i −1.05912 0.344130i −0.272881 0.962048i \(-0.587977\pi\)
−0.786243 + 0.617917i \(0.787977\pi\)
\(812\) 128.773 + 13.5346i 4.51906 + 0.474972i
\(813\) 6.13307 3.54093i 0.215096 0.124186i
\(814\) 1.97987 38.0172i 0.0693944 1.33250i
\(815\) 0.266009 + 0.460741i 0.00931788 + 0.0161390i
\(816\) 30.5357 13.5954i 1.06896 0.475933i
\(817\) 18.6983 16.8360i 0.654170 0.589018i
\(818\) 28.1443 + 86.6193i 0.984043 + 3.02857i
\(819\) −1.69586 8.49187i −0.0592581 0.296730i
\(820\) −15.7637 + 11.4530i −0.550492 + 0.399956i
\(821\) 9.06894 42.6660i 0.316508 1.48905i −0.476137 0.879371i \(-0.657963\pi\)
0.792645 0.609683i \(-0.208703\pi\)
\(822\) 3.51981 + 3.90915i 0.122768 + 0.136347i
\(823\) 0.417396 3.97126i 0.0145495 0.138429i −0.984836 0.173490i \(-0.944496\pi\)
0.999385 + 0.0350603i \(0.0111623\pi\)
\(824\) 99.3155i 3.45982i
\(825\) 2.09112 + 13.1748i 0.0728035 + 0.458687i
\(826\) 17.6479 10.1890i 0.614047 0.354520i
\(827\) −14.2332 + 19.5903i −0.494937 + 0.681223i −0.981289 0.192540i \(-0.938327\pi\)
0.486352 + 0.873763i \(0.338327\pi\)
\(828\) 26.0456 5.53617i 0.905148 0.192395i
\(829\) −32.8076 6.97348i −1.13946 0.242199i −0.400725 0.916198i \(-0.631242\pi\)
−0.738732 + 0.674000i \(0.764575\pi\)
\(830\) 7.85004 0.825072i 0.272479 0.0286387i
\(831\) 20.5534 14.9329i 0.712990 0.518018i
\(832\) 59.8940 25.7865i 2.07645 0.893987i
\(833\) 1.03712 3.19191i 0.0359339 0.110593i
\(834\) −18.7392 42.0889i −0.648885 1.45742i
\(835\) −3.97110 + 6.87814i −0.137425 + 0.238028i
\(836\) 53.1419 53.1769i 1.83795 1.83916i
\(837\) 0.257279i 0.00889287i
\(838\) −30.9790 3.25602i −1.07015 0.112477i
\(839\) −4.07757 19.1834i −0.140773 0.662286i −0.990776 0.135508i \(-0.956733\pi\)
0.850003 0.526778i \(-0.176600\pi\)
\(840\) −19.0655 + 6.19477i −0.657824 + 0.213740i
\(841\) 73.4121 + 32.6852i 2.53145 + 1.12708i
\(842\) 4.42919 + 42.1409i 0.152640 + 1.45227i
\(843\) −0.771224 + 3.62832i −0.0265623 + 0.124966i
\(844\) 6.36861 19.6006i 0.219216 0.674679i
\(845\) 5.51686 11.6118i 0.189786 0.399458i
\(846\) −17.2255 −0.592226
\(847\) 8.18043 + 25.1206i 0.281083 + 0.863153i
\(848\) −76.0880 + 131.788i −2.61287 + 4.52563i
\(849\) 0.765856 7.28663i 0.0262841 0.250077i
\(850\) 27.8810 + 9.05907i 0.956309 + 0.310724i
\(851\) −16.4703 14.8299i −0.564593 0.508362i
\(852\) −28.5198 + 64.0565i −0.977072 + 2.19454i
\(853\) −14.5292 19.9978i −0.497472 0.684711i 0.484272 0.874917i \(-0.339084\pi\)
−0.981744 + 0.190206i \(0.939084\pi\)
\(854\) 32.0654 35.6122i 1.09726 1.21863i
\(855\) −2.90940 3.23121i −0.0994992 0.110505i
\(856\) −14.1963 31.8854i −0.485219 1.08982i
\(857\) 41.8252 1.42872 0.714361 0.699778i \(-0.246718\pi\)
0.714361 + 0.699778i \(0.246718\pi\)
\(858\) −29.9986 + 11.1042i −1.02413 + 0.379092i
\(859\) −45.8367 −1.56393 −0.781964 0.623324i \(-0.785782\pi\)
−0.781964 + 0.623324i \(0.785782\pi\)
\(860\) 11.8663 + 26.6522i 0.404638 + 0.908832i
\(861\) −6.14217 6.82157i −0.209324 0.232478i
\(862\) −52.8389 + 58.6835i −1.79970 + 1.99877i
\(863\) −9.61388 13.2324i −0.327260 0.450435i 0.613406 0.789768i \(-0.289799\pi\)
−0.940667 + 0.339332i \(0.889799\pi\)
\(864\) −6.48053 + 14.5555i −0.220472 + 0.495188i
\(865\) 4.57504 + 4.11938i 0.155556 + 0.140063i
\(866\) 41.1023 + 13.3550i 1.39671 + 0.453820i
\(867\) 1.00091 9.52299i 0.0339926 0.323418i
\(868\) −1.59279 + 2.75879i −0.0540627 + 0.0936394i
\(869\) −6.61750 + 5.36235i −0.224483 + 0.181905i
\(870\) −27.6629 −0.937860
\(871\) 20.4980 11.4999i 0.694549 0.389661i
\(872\) 5.10069 15.6983i 0.172731 0.531611i
\(873\) 1.60369 7.54476i 0.0542766 0.255352i
\(874\) −6.34980 60.4143i −0.214785 2.04354i
\(875\) −19.5755 8.71558i −0.661773 0.294640i
\(876\) 42.4110 13.7802i 1.43294 0.465589i
\(877\) −2.42341 11.4012i −0.0818327 0.384993i 0.918103 0.396342i \(-0.129721\pi\)
−0.999936 + 0.0113495i \(0.996387\pi\)
\(878\) 43.9312 + 4.61735i 1.48261 + 0.155828i
\(879\) 5.31364i 0.179224i
\(880\) 18.2776 + 35.8426i 0.616136 + 1.20825i
\(881\) −1.41473 + 2.45038i −0.0476635 + 0.0825555i −0.888873 0.458154i \(-0.848511\pi\)
0.841209 + 0.540709i \(0.181844\pi\)
\(882\) 1.34011 + 3.00993i 0.0451237 + 0.101350i
\(883\) 15.7986 48.6231i 0.531666 1.63630i −0.219080 0.975707i \(-0.570306\pi\)
0.750746 0.660591i \(-0.229694\pi\)
\(884\) −5.91480 + 50.3020i −0.198936 + 1.69184i
\(885\) −2.53765 + 1.84371i −0.0853023 + 0.0619758i
\(886\) −65.8775 + 6.92400i −2.21320 + 0.232616i
\(887\) −5.70554 1.21275i −0.191573 0.0407202i 0.111126 0.993806i \(-0.464554\pi\)
−0.302699 + 0.953086i \(0.597888\pi\)
\(888\) 35.4264 7.53012i 1.18883 0.252694i
\(889\) −23.2951 + 32.0630i −0.781293 + 1.07536i
\(890\) 31.1308 17.9734i 1.04351 0.602468i
\(891\) 1.50474 2.95563i 0.0504108 0.0990173i
\(892\) 142.250i 4.76288i
\(893\) −2.95958 + 28.1585i −0.0990385 + 0.942288i
\(894\) −30.1853 33.5242i −1.00955 1.12122i
\(895\) 3.24601 15.2713i 0.108502 0.510462i
\(896\) 32.0846 23.3108i 1.07187 0.778761i
\(897\) −5.97264 + 17.6389i −0.199421 + 0.588947i
\(898\) −27.8802 85.8063i −0.930373 2.86339i
\(899\) −1.99943 + 1.80030i −0.0666848 + 0.0600432i
\(900\) −18.9426 + 8.43380i −0.631421 + 0.281127i
\(901\) −16.9009 29.2732i −0.563050 0.975231i
\(902\) −21.3302 + 26.3583i −0.710218 + 0.877636i
\(903\) −11.9027 + 6.87200i −0.396095 + 0.228686i
\(904\) 5.58007 + 0.586489i 0.185590 + 0.0195063i
\(905\) 17.0066 + 5.52577i 0.565318 + 0.183683i
\(906\) 11.0981 12.3257i 0.368710 0.409494i
\(907\) −4.85402 46.1829i −0.161175 1.53348i −0.713979 0.700167i \(-0.753109\pi\)
0.552804 0.833312i \(-0.313558\pi\)
\(908\) 110.408 11.6044i 3.66402 0.385104i
\(909\) 3.02766 + 9.31818i 0.100421 + 0.309064i
\(910\) 5.03846 22.3458i 0.167023 0.740756i
\(911\) 9.04197 + 6.56937i 0.299574 + 0.217653i 0.727410 0.686203i \(-0.240724\pi\)
−0.427836 + 0.903856i \(0.640724\pi\)
\(912\) 46.7102 + 26.9681i 1.54673 + 0.893004i
\(913\) 9.23807 3.54965i 0.305736 0.117476i
\(914\) −11.9348 20.6716i −0.394767 0.683757i
\(915\) −4.33569 + 5.96756i −0.143333 + 0.197282i
\(916\) 0.252378 + 1.18735i 0.00833881 + 0.0392310i
\(917\) −33.7847 30.4199i −1.11567 1.00455i
\(918\) −4.28420 5.89670i −0.141400 0.194620i
\(919\) 4.83020 + 2.15054i 0.159333 + 0.0709398i 0.484854 0.874595i \(-0.338873\pi\)
−0.325520 + 0.945535i \(0.605539\pi\)
\(920\) 42.1691 + 8.96332i 1.39027 + 0.295512i
\(921\) 2.42675 2.18506i 0.0799643 0.0720002i
\(922\) −79.4596 57.7308i −2.61686 1.90126i
\(923\) −28.3333 40.0260i −0.932602 1.31747i
\(924\) −34.4333 + 22.3773i −1.13277 + 0.736160i
\(925\) 14.9464 + 8.62932i 0.491435 + 0.283730i
\(926\) −33.8037 + 15.0504i −1.11086 + 0.494586i
\(927\) −11.5095 + 2.44641i −0.378020 + 0.0803507i
\(928\) 158.465 51.4882i 5.20185 1.69018i
\(929\) −1.99201 + 4.47412i −0.0653556 + 0.146791i −0.943270 0.332026i \(-0.892268\pi\)
0.877915 + 0.478817i \(0.158934\pi\)
\(930\) 0.276813 0.621733i 0.00907707 0.0203874i
\(931\) 5.15056 1.67352i 0.168803 0.0548474i
\(932\) 1.15117 0.244688i 0.0377077 0.00801502i
\(933\) −24.0925 + 10.7267i −0.788753 + 0.351175i
\(934\) 77.6235 + 44.8159i 2.53992 + 1.46642i
\(935\) −8.92476 0.464786i −0.291871 0.0152001i
\(936\) −17.5829 24.8391i −0.574715 0.811891i
\(937\) 37.8709 + 27.5148i 1.23719 + 0.898870i 0.997408 0.0719569i \(-0.0229244\pi\)
0.239781 + 0.970827i \(0.422924\pi\)
\(938\) 31.1225 28.0229i 1.01619 0.914979i
\(939\) −14.1358 3.00465i −0.461304 0.0980531i
\(940\) −29.9916 13.3531i −0.978218 0.435531i
\(941\) 15.7368 + 21.6598i 0.513004 + 0.706090i 0.984422 0.175820i \(-0.0562576\pi\)
−0.471418 + 0.881910i \(0.656258\pi\)
\(942\) 33.7229 + 30.3643i 1.09875 + 0.989322i
\(943\) 4.10428 + 19.3091i 0.133654 + 0.628791i
\(944\) 22.8709 31.4790i 0.744383 1.02456i
\(945\) 1.18754 + 2.05687i 0.0386305 + 0.0669100i
\(946\) 31.9632 + 39.4447i 1.03921 + 1.28246i
\(947\) −22.8147 13.1721i −0.741380 0.428036i 0.0811910 0.996699i \(-0.474128\pi\)
−0.822571 + 0.568663i \(0.807461\pi\)
\(948\) −10.7110 7.78196i −0.347876 0.252746i
\(949\) −6.85990 + 30.4240i −0.222682 + 0.987604i
\(950\) 14.6180 + 44.9895i 0.474270 + 1.45965i
\(951\) 5.94591 0.624940i 0.192809 0.0202651i
\(952\) 5.77377 + 54.9338i 0.187129 + 1.78041i
\(953\) 5.70612 6.33729i 0.184839 0.205285i −0.643603 0.765360i \(-0.722561\pi\)
0.828442 + 0.560075i \(0.189228\pi\)
\(954\) 31.5592 + 10.2542i 1.02177 + 0.331993i
\(955\) 10.3477 + 1.08759i 0.334844 + 0.0351936i
\(956\) −130.665 + 75.4396i −4.22602 + 2.43989i
\(957\) −33.4989 + 8.98780i −1.08287 + 0.290534i
\(958\) −11.9534 20.7039i −0.386198 0.668914i
\(959\) −4.31466 + 1.92101i −0.139327 + 0.0620326i
\(960\) −13.2912 + 11.9674i −0.428971 + 0.386247i
\(961\) 9.55907 + 29.4198i 0.308357 + 0.949026i
\(962\) −13.2730 + 39.1989i −0.427938 + 1.26382i
\(963\) −3.34543 + 2.43060i −0.107805 + 0.0783250i
\(964\) 0.264526 1.24450i 0.00851982 0.0400826i
\(965\) 11.9663 + 13.2899i 0.385207 + 0.427816i
\(966\) −3.46852 + 33.0008i −0.111598 + 1.06178i
\(967\) 8.51969i 0.273975i 0.990573 + 0.136987i \(0.0437420\pi\)
−0.990573 + 0.136987i \(0.956258\pi\)
\(968\) 62.1709 + 68.9565i 1.99825 + 2.21635i
\(969\) −10.3754 + 5.99024i −0.333306 + 0.192434i
\(970\) 11.9930 16.5070i 0.385073 0.530008i
\(971\) −25.2900 + 5.37555i −0.811594 + 0.172510i −0.594972 0.803746i \(-0.702837\pi\)
−0.216621 + 0.976256i \(0.569504\pi\)
\(972\) 5.04271 + 1.07186i 0.161745 + 0.0343800i
\(973\) 41.1395 4.32394i 1.31887 0.138619i
\(974\) −30.7628 + 22.3505i −0.985703 + 0.716155i
\(975\) 1.69354 14.4026i 0.0542366 0.461251i
\(976\) 28.2755 87.0231i 0.905077 2.78554i
\(977\) 12.8849 + 28.9400i 0.412225 + 0.925873i 0.993675 + 0.112291i \(0.0358188\pi\)
−0.581450 + 0.813582i \(0.697515\pi\)
\(978\) −0.719547 + 1.24629i −0.0230086 + 0.0398520i
\(979\) 31.8587 31.8797i 1.01821 1.01888i
\(980\) 6.27946i 0.200590i
\(981\) −1.94489 0.204416i −0.0620954 0.00652649i
\(982\) 16.5362 + 77.7966i 0.527691 + 2.48259i
\(983\) 28.2506 9.17917i 0.901053 0.292770i 0.178382 0.983961i \(-0.442914\pi\)
0.722672 + 0.691191i \(0.242914\pi\)
\(984\) −29.4703 13.1210i −0.939477 0.418282i
\(985\) −0.0755947 0.719236i −0.00240865 0.0229168i
\(986\) −15.8474 + 74.5563i −0.504685 + 2.37436i
\(987\) 4.77928 14.7091i 0.152126 0.468196i
\(988\) −71.2768 + 39.9883i −2.26762 + 1.27220i
\(989\) 29.5570 0.939858
\(990\) 6.81636 5.52349i 0.216638 0.175548i
\(991\) 21.1482 36.6297i 0.671794 1.16358i −0.305602 0.952160i \(-0.598858\pi\)
0.977395 0.211421i \(-0.0678091\pi\)
\(992\) −0.428486 + 4.07677i −0.0136044 + 0.129438i
\(993\) −25.9618 8.43549i −0.823871 0.267692i
\(994\) −64.9361 58.4687i −2.05965 1.85452i
\(995\) 9.08766 20.4112i 0.288098 0.647079i
\(996\) 9.04205 + 12.4453i 0.286508 + 0.394345i
\(997\) 33.4882 37.1925i 1.06058 1.17790i 0.0770764 0.997025i \(-0.475441\pi\)
0.983507 0.180872i \(-0.0578919\pi\)
\(998\) −16.4515 18.2713i −0.520763 0.578366i
\(999\) −1.74530 3.92000i −0.0552188 0.124023i
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 429.2.bn.b.4.14 112
11.3 even 5 inner 429.2.bn.b.355.14 yes 112
13.10 even 6 inner 429.2.bn.b.400.14 yes 112
143.36 even 30 inner 429.2.bn.b.322.14 yes 112
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
429.2.bn.b.4.14 112 1.1 even 1 trivial
429.2.bn.b.322.14 yes 112 143.36 even 30 inner
429.2.bn.b.355.14 yes 112 11.3 even 5 inner
429.2.bn.b.400.14 yes 112 13.10 even 6 inner