Properties

Label 429.2.bq.a.29.12
Level $429$
Weight $2$
Character 429.29
Analytic conductor $3.426$
Analytic rank $0$
Dimension $416$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [429,2,Mod(29,429)]
 
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([15, 21, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("429.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 429 = 3 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 429.bq (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: \(416\)
Relative dimension: \(52\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 29.12
Character \(\chi\) \(=\) 429.29
Dual form 429.2.bq.a.74.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.179632 + 1.70909i) q^{2} +(1.33049 - 1.10896i) q^{3} +(-0.932422 - 0.198192i) q^{4} +(1.96134 + 2.69955i) q^{5} +(1.65631 + 2.47313i) q^{6} +(-0.393158 + 1.84966i) q^{7} +(-0.555871 + 1.71080i) q^{8} +(0.540418 - 2.95092i) q^{9} +O(q^{10})\) \(q+(-0.179632 + 1.70909i) q^{2} +(1.33049 - 1.10896i) q^{3} +(-0.932422 - 0.198192i) q^{4} +(1.96134 + 2.69955i) q^{5} +(1.65631 + 2.47313i) q^{6} +(-0.393158 + 1.84966i) q^{7} +(-0.555871 + 1.71080i) q^{8} +(0.540418 - 2.95092i) q^{9} +(-4.96609 + 2.86717i) q^{10} +(-2.27214 + 2.41607i) q^{11} +(-1.46037 + 0.770325i) q^{12} +(-0.125170 - 3.60338i) q^{13} +(-3.09061 - 1.00420i) q^{14} +(5.60323 + 1.41668i) q^{15} +(-4.56573 - 2.03279i) q^{16} +(-0.258678 - 2.46116i) q^{17} +(4.94631 + 1.45370i) q^{18} +(0.422358 - 0.380293i) q^{19} +(-1.29376 - 2.90584i) q^{20} +(1.52811 + 2.89696i) q^{21} +(-3.72113 - 4.31729i) q^{22} +(5.92755 - 3.42227i) q^{23} +(1.15762 + 2.89264i) q^{24} +(-1.89563 + 5.83416i) q^{25} +(6.18098 + 0.433357i) q^{26} +(-2.55343 - 4.52548i) q^{27} +(0.733178 - 1.64674i) q^{28} +(-3.14310 + 3.49077i) q^{29} +(-3.42776 + 9.32194i) q^{30} +(1.27653 + 0.927452i) q^{31} +(2.49554 - 4.32241i) q^{32} +(-0.343735 + 5.73427i) q^{33} +4.25280 q^{34} +(-5.76436 + 2.56646i) q^{35} +(-1.08875 + 2.64440i) q^{36} +(1.75384 - 1.94784i) q^{37} +(0.574085 + 0.790160i) q^{38} +(-4.16254 - 4.65546i) q^{39} +(-5.70863 + 1.85485i) q^{40} +(1.80272 - 0.383180i) q^{41} +(-5.22565 + 2.09128i) q^{42} +(6.47641 + 3.73915i) q^{43} +(2.59744 - 1.80248i) q^{44} +(9.02610 - 4.32887i) q^{45} +(4.78419 + 10.7455i) q^{46} +(-4.97659 - 1.61699i) q^{47} +(-8.32895 + 2.35859i) q^{48} +(3.12814 + 1.39274i) q^{49} +(-9.63057 - 4.28781i) q^{50} +(-3.07349 - 2.98769i) q^{51} +(-0.597451 + 3.38468i) q^{52} +(5.12643 - 7.05593i) q^{53} +(8.19313 - 3.55112i) q^{54} +(-10.9787 - 1.39501i) q^{55} +(-2.94585 - 1.70079i) q^{56} +(0.140215 - 0.974354i) q^{57} +(-5.40143 - 5.99890i) q^{58} +(2.02502 - 9.52697i) q^{59} +(-4.94380 - 2.43147i) q^{60} +(3.13552 - 0.329557i) q^{61} +(-1.81440 + 2.01510i) q^{62} +(5.24574 + 2.15977i) q^{63} +(-1.14754 - 0.833735i) q^{64} +(9.48199 - 7.40534i) q^{65} +(-9.73863 - 1.61754i) q^{66} +(4.89627 + 8.48060i) q^{67} +(-0.246586 + 2.34611i) q^{68} +(4.09140 - 11.1267i) q^{69} +(-3.35084 - 10.3128i) q^{70} +(-8.25316 + 0.867442i) q^{71} +(4.74803 + 2.56488i) q^{72} +(-14.8405 + 4.82198i) q^{73} +(3.01398 + 3.34736i) q^{74} +(3.94772 + 9.86448i) q^{75} +(-0.469187 + 0.270885i) q^{76} +(-3.57560 - 5.15258i) q^{77} +(8.70432 - 6.27788i) q^{78} +(5.01074 - 6.89669i) q^{79} +(-3.46731 - 16.3124i) q^{80} +(-8.41590 - 3.18946i) q^{81} +(0.331062 + 3.14984i) q^{82} +(-10.1384 + 7.36596i) q^{83} +(-0.850686 - 3.00405i) q^{84} +(6.13666 - 5.52547i) q^{85} +(-7.55392 + 10.3971i) q^{86} +(-0.310751 + 8.13002i) q^{87} +(-2.87039 - 5.23019i) q^{88} +(12.6837 - 7.32291i) q^{89} +(5.77704 + 16.2040i) q^{90} +(6.71424 + 1.18517i) q^{91} +(-6.20525 + 2.01621i) q^{92} +(2.72692 - 0.181651i) q^{93} +(3.65754 - 8.21497i) q^{94} +(1.85500 + 0.394293i) q^{95} +(-1.47307 - 8.51838i) q^{96} +(-2.04180 + 0.909068i) q^{97} +(-2.94223 + 5.09609i) q^{98} +(5.90174 + 8.01059i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9} - 52 q^{12} - 20 q^{13} - 3 q^{15} + 30 q^{16} - 20 q^{18} - 10 q^{19} + 4 q^{22} + 5 q^{24} + 60 q^{25} - 24 q^{27} - 10 q^{28} - 65 q^{30} - 8 q^{31} + 49 q^{33} - 24 q^{34} + 3 q^{36} - 6 q^{37} - 35 q^{39} - 120 q^{40} - 13 q^{42} - 32 q^{45} - 30 q^{46} - 33 q^{48} - 26 q^{49} - 100 q^{51} - 60 q^{52} - 42 q^{55} - 20 q^{57} - 34 q^{58} + 32 q^{60} - 30 q^{61} - 45 q^{63} + 40 q^{64} + 42 q^{66} + 32 q^{67} - 33 q^{69} - 268 q^{70} + 55 q^{72} - 40 q^{73} + 9 q^{75} - 32 q^{78} - 37 q^{81} + 28 q^{82} - 180 q^{84} - 10 q^{85} - 142 q^{88} - 30 q^{90} + 8 q^{91} - 26 q^{93} - 90 q^{94} + 330 q^{96} - 14 q^{97} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(67\) \(79\) \(287\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{7}{10}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.179632 + 1.70909i −0.127019 + 1.20851i 0.726396 + 0.687277i \(0.241194\pi\)
−0.853415 + 0.521232i \(0.825473\pi\)
\(3\) 1.33049 1.10896i 0.768160 0.640258i
\(4\) −0.932422 0.198192i −0.466211 0.0990962i
\(5\) 1.96134 + 2.69955i 0.877136 + 1.20727i 0.977206 + 0.212294i \(0.0680934\pi\)
−0.100070 + 0.994980i \(0.531907\pi\)
\(6\) 1.65631 + 2.47313i 0.676186 + 1.00965i
\(7\) −0.393158 + 1.84966i −0.148600 + 0.699106i 0.839257 + 0.543736i \(0.182991\pi\)
−0.987856 + 0.155371i \(0.950343\pi\)
\(8\) −0.555871 + 1.71080i −0.196530 + 0.604858i
\(9\) 0.540418 2.95092i 0.180139 0.983641i
\(10\) −4.96609 + 2.86717i −1.57041 + 0.906679i
\(11\) −2.27214 + 2.41607i −0.685075 + 0.728473i
\(12\) −1.46037 + 0.770325i −0.421572 + 0.222374i
\(13\) −0.125170 3.60338i −0.0347159 0.999397i
\(14\) −3.09061 1.00420i −0.826001 0.268384i
\(15\) 5.60323 + 1.41668i 1.44675 + 0.365786i
\(16\) −4.56573 2.03279i −1.14143 0.508199i
\(17\) −0.258678 2.46116i −0.0627387 0.596918i −0.980050 0.198749i \(-0.936312\pi\)
0.917312 0.398170i \(-0.130354\pi\)
\(18\) 4.94631 + 1.45370i 1.16586 + 0.342641i
\(19\) 0.422358 0.380293i 0.0968956 0.0872452i −0.619259 0.785186i \(-0.712567\pi\)
0.716155 + 0.697941i \(0.245900\pi\)
\(20\) −1.29376 2.90584i −0.289294 0.649766i
\(21\) 1.52811 + 2.89696i 0.333460 + 0.632168i
\(22\) −3.72113 4.31729i −0.793347 0.920449i
\(23\) 5.92755 3.42227i 1.23598 0.713593i 0.267710 0.963500i \(-0.413733\pi\)
0.968270 + 0.249907i \(0.0803999\pi\)
\(24\) 1.15762 + 2.89264i 0.236298 + 0.590458i
\(25\) −1.89563 + 5.83416i −0.379126 + 1.16683i
\(26\) 6.18098 + 0.433357i 1.21219 + 0.0849883i
\(27\) −2.55343 4.52548i −0.491408 0.870929i
\(28\) 0.733178 1.64674i 0.138558 0.311206i
\(29\) −3.14310 + 3.49077i −0.583660 + 0.648220i −0.960573 0.278029i \(-0.910319\pi\)
0.376913 + 0.926249i \(0.376986\pi\)
\(30\) −3.42776 + 9.32194i −0.625821 + 1.70195i
\(31\) 1.27653 + 0.927452i 0.229271 + 0.166575i 0.696490 0.717566i \(-0.254744\pi\)
−0.467219 + 0.884142i \(0.654744\pi\)
\(32\) 2.49554 4.32241i 0.441154 0.764101i
\(33\) −0.343735 + 5.73427i −0.0598367 + 0.998208i
\(34\) 4.25280 0.729350
\(35\) −5.76436 + 2.56646i −0.974355 + 0.433811i
\(36\) −1.08875 + 2.64440i −0.181458 + 0.440733i
\(37\) 1.75384 1.94784i 0.288330 0.320222i −0.581527 0.813527i \(-0.697545\pi\)
0.869857 + 0.493305i \(0.164211\pi\)
\(38\) 0.574085 + 0.790160i 0.0931289 + 0.128181i
\(39\) −4.16254 4.65546i −0.666539 0.745470i
\(40\) −5.70863 + 1.85485i −0.902613 + 0.293277i
\(41\) 1.80272 0.383180i 0.281538 0.0598427i −0.0649784 0.997887i \(-0.520698\pi\)
0.346516 + 0.938044i \(0.387365\pi\)
\(42\) −5.22565 + 2.09128i −0.806336 + 0.322692i
\(43\) 6.47641 + 3.73915i 0.987643 + 0.570216i 0.904569 0.426328i \(-0.140193\pi\)
0.0830738 + 0.996543i \(0.473526\pi\)
\(44\) 2.59744 1.80248i 0.391578 0.271734i
\(45\) 9.02610 4.32887i 1.34553 0.645310i
\(46\) 4.78419 + 10.7455i 0.705390 + 1.58433i
\(47\) −4.97659 1.61699i −0.725911 0.235863i −0.0773267 0.997006i \(-0.524638\pi\)
−0.648584 + 0.761143i \(0.724638\pi\)
\(48\) −8.32895 + 2.35859i −1.20218 + 0.340434i
\(49\) 3.12814 + 1.39274i 0.446878 + 0.198963i
\(50\) −9.63057 4.28781i −1.36197 0.606388i
\(51\) −3.07349 2.98769i −0.430375 0.418360i
\(52\) −0.597451 + 3.38468i −0.0828516 + 0.469370i
\(53\) 5.12643 7.05593i 0.704170 0.969207i −0.295733 0.955271i \(-0.595564\pi\)
0.999903 0.0139361i \(-0.00443615\pi\)
\(54\) 8.19313 3.55112i 1.11494 0.483246i
\(55\) −10.9787 1.39501i −1.48037 0.188104i
\(56\) −2.94585 1.70079i −0.393656 0.227277i
\(57\) 0.140215 0.974354i 0.0185719 0.129056i
\(58\) −5.40143 5.99890i −0.709243 0.787694i
\(59\) 2.02502 9.52697i 0.263635 1.24031i −0.624610 0.780937i \(-0.714742\pi\)
0.888246 0.459369i \(-0.151924\pi\)
\(60\) −4.94380 2.43147i −0.638242 0.313901i
\(61\) 3.13552 0.329557i 0.401463 0.0421954i 0.0983542 0.995151i \(-0.468642\pi\)
0.303109 + 0.952956i \(0.401976\pi\)
\(62\) −1.81440 + 2.01510i −0.230430 + 0.255918i
\(63\) 5.24574 + 2.15977i 0.660901 + 0.272105i
\(64\) −1.14754 0.833735i −0.143442 0.104217i
\(65\) 9.48199 7.40534i 1.17610 0.918519i
\(66\) −9.73863 1.61754i −1.19874 0.199105i
\(67\) 4.89627 + 8.48060i 0.598175 + 1.03607i 0.993090 + 0.117352i \(0.0374406\pi\)
−0.394915 + 0.918718i \(0.629226\pi\)
\(68\) −0.246586 + 2.34611i −0.0299029 + 0.284507i
\(69\) 4.09140 11.1267i 0.492546 1.33950i
\(70\) −3.35084 10.3128i −0.400502 1.23262i
\(71\) −8.25316 + 0.867442i −0.979470 + 0.102946i −0.580712 0.814109i \(-0.697226\pi\)
−0.398759 + 0.917056i \(0.630559\pi\)
\(72\) 4.74803 + 2.56488i 0.559560 + 0.302274i
\(73\) −14.8405 + 4.82198i −1.73695 + 0.564370i −0.994425 0.105447i \(-0.966373\pi\)
−0.742527 + 0.669816i \(0.766373\pi\)
\(74\) 3.01398 + 3.34736i 0.350368 + 0.389123i
\(75\) 3.94772 + 9.86448i 0.455843 + 1.13905i
\(76\) −0.469187 + 0.270885i −0.0538195 + 0.0310727i
\(77\) −3.57560 5.15258i −0.407478 0.587191i
\(78\) 8.70432 6.27788i 0.985570 0.710830i
\(79\) 5.01074 6.89669i 0.563752 0.775939i −0.428045 0.903757i \(-0.640798\pi\)
0.991798 + 0.127819i \(0.0407976\pi\)
\(80\) −3.46731 16.3124i −0.387657 1.82378i
\(81\) −8.41590 3.18946i −0.935100 0.354385i
\(82\) 0.331062 + 3.14984i 0.0365597 + 0.347842i
\(83\) −10.1384 + 7.36596i −1.11283 + 0.808519i −0.983107 0.183032i \(-0.941409\pi\)
−0.129723 + 0.991550i \(0.541409\pi\)
\(84\) −0.850686 3.00405i −0.0928174 0.327768i
\(85\) 6.13666 5.52547i 0.665614 0.599321i
\(86\) −7.55392 + 10.3971i −0.814560 + 1.12115i
\(87\) −0.310751 + 8.13002i −0.0333160 + 0.871629i
\(88\) −2.87039 5.23019i −0.305984 0.557540i
\(89\) 12.6837 7.32291i 1.34446 0.776227i 0.357006 0.934102i \(-0.383798\pi\)
0.987459 + 0.157875i \(0.0504643\pi\)
\(90\) 5.77704 + 16.2040i 0.608954 + 1.70805i
\(91\) 6.71424 + 1.18517i 0.703844 + 0.124240i
\(92\) −6.20525 + 2.01621i −0.646942 + 0.210204i
\(93\) 2.72692 0.181651i 0.282768 0.0188363i
\(94\) 3.65754 8.21497i 0.377247 0.847310i
\(95\) 1.85500 + 0.394293i 0.190319 + 0.0404536i
\(96\) −1.47307 8.51838i −0.150345 0.869404i
\(97\) −2.04180 + 0.909068i −0.207313 + 0.0923019i −0.507767 0.861495i \(-0.669529\pi\)
0.300453 + 0.953797i \(0.402862\pi\)
\(98\) −2.94223 + 5.09609i −0.297210 + 0.514783i
\(99\) 5.90174 + 8.01059i 0.593147 + 0.805094i
\(100\) 2.92381 5.06420i 0.292381 0.506420i
\(101\) −0.445908 + 4.24253i −0.0443695 + 0.422148i 0.949680 + 0.313221i \(0.101408\pi\)
−0.994050 + 0.108927i \(0.965259\pi\)
\(102\) 5.65832 4.71619i 0.560257 0.466972i
\(103\) 2.80233 + 8.62469i 0.276122 + 0.849816i 0.988920 + 0.148447i \(0.0474275\pi\)
−0.712798 + 0.701369i \(0.752573\pi\)
\(104\) 6.23422 + 1.78887i 0.611316 + 0.175414i
\(105\) −4.82334 + 9.80710i −0.470710 + 0.957075i
\(106\) 11.1383 + 10.0290i 1.08185 + 0.974103i
\(107\) 3.06242 0.650937i 0.296055 0.0629284i −0.0574896 0.998346i \(-0.518310\pi\)
0.353545 + 0.935418i \(0.384976\pi\)
\(108\) 1.48396 + 4.72573i 0.142794 + 0.454734i
\(109\) 16.1094i 1.54300i −0.636230 0.771500i \(-0.719507\pi\)
0.636230 0.771500i \(-0.280493\pi\)
\(110\) 4.35634 18.5130i 0.415361 1.76515i
\(111\) 0.173398 4.53652i 0.0164582 0.430587i
\(112\) 5.55503 7.64585i 0.524901 0.722465i
\(113\) −0.0522361 + 0.0470336i −0.00491396 + 0.00442455i −0.671584 0.740928i \(-0.734386\pi\)
0.666670 + 0.745353i \(0.267719\pi\)
\(114\) 1.64007 + 0.414665i 0.153607 + 0.0388369i
\(115\) 20.8645 + 9.28947i 1.94562 + 0.866248i
\(116\) 3.62254 2.63193i 0.336345 0.244369i
\(117\) −10.7009 1.57796i −0.989302 0.145883i
\(118\) 15.9187 + 5.17229i 1.46543 + 0.476148i
\(119\) 4.65401 + 0.489156i 0.426632 + 0.0448409i
\(120\) −5.53833 + 8.79849i −0.505578 + 0.803189i
\(121\) −0.674790 10.9793i −0.0613446 0.998117i
\(122\) 5.41809i 0.490531i
\(123\) 1.97358 2.50896i 0.177951 0.226226i
\(124\) −1.00645 1.11777i −0.0903818 0.100379i
\(125\) −3.60001 + 1.16971i −0.321994 + 0.104622i
\(126\) −4.63354 + 8.57747i −0.412789 + 0.764142i
\(127\) −1.54709 + 3.47482i −0.137282 + 0.308341i −0.969084 0.246733i \(-0.920643\pi\)
0.831802 + 0.555073i \(0.187310\pi\)
\(128\) 8.31044 9.22968i 0.734546 0.815796i
\(129\) 12.7634 2.20716i 1.12375 0.194329i
\(130\) 10.9531 + 17.5358i 0.960651 + 1.53799i
\(131\) −0.646898 −0.0565198 −0.0282599 0.999601i \(-0.508997\pi\)
−0.0282599 + 0.999601i \(0.508997\pi\)
\(132\) 1.45700 5.27863i 0.126815 0.459446i
\(133\) 0.537360 + 0.930734i 0.0465950 + 0.0807049i
\(134\) −15.3736 + 6.84478i −1.32808 + 0.591299i
\(135\) 7.20861 15.7691i 0.620418 1.35719i
\(136\) 4.35433 + 0.925542i 0.373381 + 0.0793646i
\(137\) −14.4227 + 1.51588i −1.23221 + 0.129511i −0.698161 0.715941i \(-0.745998\pi\)
−0.534052 + 0.845452i \(0.679331\pi\)
\(138\) 18.2816 + 8.99128i 1.55623 + 0.765388i
\(139\) −0.770377 + 3.62434i −0.0653426 + 0.307413i −0.998667 0.0516224i \(-0.983561\pi\)
0.933324 + 0.359035i \(0.116894\pi\)
\(140\) 5.88347 1.25057i 0.497244 0.105693i
\(141\) −8.41450 + 3.36744i −0.708628 + 0.283590i
\(142\) 14.2612i 1.19677i
\(143\) 8.99042 + 7.88495i 0.751816 + 0.659372i
\(144\) −8.46602 + 12.3746i −0.705502 + 1.03121i
\(145\) −15.5882 1.63838i −1.29453 0.136060i
\(146\) −5.57535 26.2300i −0.461419 2.17081i
\(147\) 5.70646 1.61596i 0.470661 0.133282i
\(148\) −2.02137 + 1.46861i −0.166155 + 0.120719i
\(149\) −2.09131 19.8974i −0.171326 1.63006i −0.655574 0.755131i \(-0.727573\pi\)
0.484247 0.874931i \(-0.339094\pi\)
\(150\) −17.5684 + 4.97502i −1.43445 + 0.406209i
\(151\) −17.4563 5.67189i −1.42057 0.461572i −0.504788 0.863243i \(-0.668429\pi\)
−0.915784 + 0.401671i \(0.868429\pi\)
\(152\) 0.415827 + 0.933962i 0.0337280 + 0.0757544i
\(153\) −7.40248 0.566714i −0.598455 0.0458161i
\(154\) 9.44851 5.18546i 0.761383 0.417856i
\(155\) 5.26509i 0.422902i
\(156\) 2.95857 + 5.16584i 0.236875 + 0.413598i
\(157\) 3.36112 10.3445i 0.268247 0.825579i −0.722681 0.691182i \(-0.757090\pi\)
0.990928 0.134397i \(-0.0429097\pi\)
\(158\) 10.8870 + 9.80267i 0.866121 + 0.779859i
\(159\) −1.00406 15.0729i −0.0796274 1.19536i
\(160\) 16.5631 1.74086i 1.30943 0.137627i
\(161\) 3.99958 + 12.3095i 0.315211 + 0.970121i
\(162\) 6.96284 13.8106i 0.547053 1.08506i
\(163\) −7.91200 + 3.52265i −0.619716 + 0.275915i −0.692483 0.721434i \(-0.743483\pi\)
0.0727679 + 0.997349i \(0.476817\pi\)
\(164\) −1.75684 −0.137186
\(165\) −16.1541 + 10.3189i −1.25760 + 0.803325i
\(166\) −10.7679 18.6505i −0.835751 1.44756i
\(167\) −1.74397 + 16.5927i −0.134952 + 1.28398i 0.692077 + 0.721824i \(0.256696\pi\)
−0.827029 + 0.562159i \(0.809971\pi\)
\(168\) −5.80553 + 1.00394i −0.447907 + 0.0774560i
\(169\) −12.9687 + 0.902069i −0.997590 + 0.0693899i
\(170\) 8.34118 + 11.4806i 0.639739 + 0.880525i
\(171\) −0.893965 1.45186i −0.0683632 0.111027i
\(172\) −5.29767 4.77005i −0.403944 0.363713i
\(173\) −6.50976 7.22982i −0.494928 0.549673i 0.442992 0.896526i \(-0.353917\pi\)
−0.937920 + 0.346853i \(0.887250\pi\)
\(174\) −13.8391 1.99152i −1.04914 0.150977i
\(175\) −10.0459 5.80002i −0.759401 0.438440i
\(176\) 15.2853 6.41234i 1.15218 0.483348i
\(177\) −7.87075 14.9212i −0.591602 1.12155i
\(178\) 10.2371 + 22.9929i 0.767304 + 1.72339i
\(179\) 3.80772 + 17.9139i 0.284602 + 1.33895i 0.855447 + 0.517890i \(0.173282\pi\)
−0.570845 + 0.821058i \(0.693384\pi\)
\(180\) −9.27408 + 2.24743i −0.691249 + 0.167513i
\(181\) −20.1160 + 14.6151i −1.49521 + 1.08633i −0.522970 + 0.852351i \(0.675176\pi\)
−0.972241 + 0.233983i \(0.924824\pi\)
\(182\) −3.23166 + 11.2623i −0.239547 + 0.834820i
\(183\) 3.80632 3.91564i 0.281372 0.289453i
\(184\) 2.55986 + 12.0432i 0.188715 + 0.887835i
\(185\) 8.69815 + 0.914212i 0.639501 + 0.0672142i
\(186\) −0.179386 + 4.69317i −0.0131532 + 0.344120i
\(187\) 6.53408 + 4.96710i 0.477819 + 0.363230i
\(188\) 4.31981 + 2.49404i 0.315054 + 0.181897i
\(189\) 9.37451 2.94376i 0.681895 0.214127i
\(190\) −1.00710 + 3.09954i −0.0730628 + 0.224864i
\(191\) 1.62875 7.66266i 0.117852 0.554451i −0.879114 0.476612i \(-0.841865\pi\)
0.996966 0.0778388i \(-0.0248020\pi\)
\(192\) −2.45137 + 0.163295i −0.176912 + 0.0117848i
\(193\) 10.7770 24.2056i 0.775747 1.74236i 0.112893 0.993607i \(-0.463988\pi\)
0.662854 0.748749i \(-0.269345\pi\)
\(194\) −1.18690 3.65292i −0.0852148 0.262264i
\(195\) 4.40349 20.3679i 0.315341 1.45857i
\(196\) −2.64072 1.91859i −0.188623 0.137042i
\(197\) 0.175406 + 0.303811i 0.0124971 + 0.0216457i 0.872206 0.489138i \(-0.162689\pi\)
−0.859709 + 0.510784i \(0.829355\pi\)
\(198\) −14.7510 + 8.64763i −1.04830 + 0.614560i
\(199\) 1.31577 2.27899i 0.0932727 0.161553i −0.815614 0.578597i \(-0.803600\pi\)
0.908886 + 0.417044i \(0.136934\pi\)
\(200\) −8.92732 6.48608i −0.631257 0.458635i
\(201\) 15.9191 + 5.85359i 1.12285 + 0.412881i
\(202\) −7.17077 1.52419i −0.504533 0.107242i
\(203\) −5.22101 7.18610i −0.366443 0.504366i
\(204\) 2.27366 + 3.39493i 0.159188 + 0.237693i
\(205\) 4.57016 + 4.11499i 0.319194 + 0.287403i
\(206\) −15.2438 + 3.24016i −1.06208 + 0.225753i
\(207\) −6.89551 19.3412i −0.479271 1.34431i
\(208\) −6.75343 + 16.7065i −0.468266 + 1.15839i
\(209\) −0.0408408 + 1.88452i −0.00282502 + 0.130355i
\(210\) −15.8948 10.0052i −1.09684 0.690424i
\(211\) −9.96417 1.04728i −0.685961 0.0720975i −0.244865 0.969557i \(-0.578744\pi\)
−0.441096 + 0.897460i \(0.645410\pi\)
\(212\) −6.17843 + 5.56309i −0.424337 + 0.382074i
\(213\) −10.0188 + 10.3065i −0.686477 + 0.706193i
\(214\) 0.562399 + 5.35087i 0.0384448 + 0.365778i
\(215\) 2.60838 + 24.8171i 0.177890 + 1.69251i
\(216\) 9.16156 1.85282i 0.623365 0.126068i
\(217\) −2.21735 + 1.99651i −0.150523 + 0.135532i
\(218\) 27.5324 + 2.89377i 1.86473 + 0.195991i
\(219\) −14.3978 + 22.8731i −0.972914 + 1.54562i
\(220\) 9.96032 + 3.47664i 0.671525 + 0.234395i
\(221\) −8.83610 + 1.24018i −0.594381 + 0.0834234i
\(222\) 7.72217 + 1.11126i 0.518278 + 0.0745828i
\(223\) −27.8292 + 5.91527i −1.86358 + 0.396116i −0.995037 0.0995025i \(-0.968275\pi\)
−0.868540 + 0.495618i \(0.834942\pi\)
\(224\) 7.01385 + 6.31530i 0.468632 + 0.421959i
\(225\) 16.1917 + 8.74674i 1.07945 + 0.583116i
\(226\) −0.0710013 0.0977249i −0.00472293 0.00650056i
\(227\) −6.36238 1.35236i −0.422286 0.0897596i −0.00813282 0.999967i \(-0.502589\pi\)
−0.414153 + 0.910207i \(0.635922\pi\)
\(228\) −0.323849 + 0.880720i −0.0214474 + 0.0583271i
\(229\) −15.7936 11.4747i −1.04367 0.758270i −0.0726702 0.997356i \(-0.523152\pi\)
−0.970998 + 0.239087i \(0.923152\pi\)
\(230\) −19.6245 + 33.9906i −1.29400 + 2.24127i
\(231\) −10.4713 2.89027i −0.688962 0.190166i
\(232\) −4.22484 7.31763i −0.277374 0.480426i
\(233\) 9.11895 + 6.62531i 0.597403 + 0.434038i 0.844956 0.534836i \(-0.179627\pi\)
−0.247553 + 0.968874i \(0.579627\pi\)
\(234\) 4.61911 18.0054i 0.301961 1.17705i
\(235\) −5.39562 16.6060i −0.351971 1.08326i
\(236\) −3.77635 + 8.48181i −0.245819 + 0.552119i
\(237\) −0.981403 14.7327i −0.0637490 0.956992i
\(238\) −1.67202 + 7.86625i −0.108381 + 0.509893i
\(239\) −2.47468 + 7.61627i −0.160073 + 0.492655i −0.998640 0.0521444i \(-0.983394\pi\)
0.838566 + 0.544800i \(0.183394\pi\)
\(240\) −22.7030 17.8584i −1.46547 1.15276i
\(241\) 11.4470 + 6.60894i 0.737367 + 0.425719i 0.821111 0.570768i \(-0.193354\pi\)
−0.0837439 + 0.996487i \(0.526688\pi\)
\(242\) 18.8858 + 0.818959i 1.21402 + 0.0526447i
\(243\) −14.7343 + 5.08934i −0.945204 + 0.326481i
\(244\) −2.98895 0.314151i −0.191348 0.0201115i
\(245\) 2.37557 + 11.1762i 0.151770 + 0.714021i
\(246\) 3.93353 + 3.82371i 0.250792 + 0.243791i
\(247\) −1.42321 1.47431i −0.0905564 0.0938084i
\(248\) −2.29627 + 1.66834i −0.145813 + 0.105939i
\(249\) −5.32047 + 21.0434i −0.337171 + 1.33357i
\(250\) −1.35247 6.36285i −0.0855375 0.402422i
\(251\) 10.3705 + 23.2925i 0.654579 + 1.47021i 0.869679 + 0.493617i \(0.164326\pi\)
−0.215100 + 0.976592i \(0.569008\pi\)
\(252\) −4.46320 3.05348i −0.281155 0.192351i
\(253\) −5.19975 + 22.0972i −0.326906 + 1.38924i
\(254\) −5.66087 3.26831i −0.355195 0.205072i
\(255\) 2.03725 14.1569i 0.127578 0.886539i
\(256\) 12.3833 + 13.7530i 0.773955 + 0.859564i
\(257\) −9.68677 8.72201i −0.604244 0.544064i 0.309216 0.950992i \(-0.399933\pi\)
−0.913460 + 0.406928i \(0.866600\pi\)
\(258\) 1.47951 + 22.2102i 0.0921103 + 1.38275i
\(259\) 2.91330 + 4.00982i 0.181024 + 0.249158i
\(260\) −10.3089 + 5.02564i −0.639331 + 0.311677i
\(261\) 8.60241 + 11.1615i 0.532476 + 0.690882i
\(262\) 0.116204 1.10561i 0.00717910 0.0683046i
\(263\) −5.76566 9.98642i −0.355526 0.615789i 0.631682 0.775228i \(-0.282365\pi\)
−0.987208 + 0.159439i \(0.949032\pi\)
\(264\) −9.61910 3.77558i −0.592014 0.232371i
\(265\) 29.1025 1.78775
\(266\) −1.68724 + 0.751206i −0.103451 + 0.0460594i
\(267\) 8.75469 23.8087i 0.535778 1.45707i
\(268\) −2.88460 8.87790i −0.176205 0.542304i
\(269\) 1.50936 0.158640i 0.0920274 0.00967247i −0.0584028 0.998293i \(-0.518601\pi\)
0.150430 + 0.988621i \(0.451934\pi\)
\(270\) 25.6559 + 15.1528i 1.56137 + 0.922170i
\(271\) −11.8104 10.6341i −0.717430 0.645977i 0.227300 0.973825i \(-0.427010\pi\)
−0.944731 + 0.327848i \(0.893677\pi\)
\(272\) −3.82197 + 11.7628i −0.231741 + 0.713226i
\(273\) 10.2476 5.86896i 0.620210 0.355205i
\(274\) 24.9219i 1.50559i
\(275\) −9.78859 17.8360i −0.590274 1.07555i
\(276\) −6.02014 + 9.56392i −0.362370 + 0.575680i
\(277\) 6.31932 + 14.1934i 0.379691 + 0.852800i 0.997774 + 0.0666873i \(0.0212430\pi\)
−0.618083 + 0.786113i \(0.712090\pi\)
\(278\) −6.05594 1.96769i −0.363211 0.118014i
\(279\) 3.42670 3.26572i 0.205151 0.195514i
\(280\) −1.18645 11.2883i −0.0709037 0.674603i
\(281\) 15.1340 10.9955i 0.902818 0.655936i −0.0363702 0.999338i \(-0.511580\pi\)
0.939188 + 0.343403i \(0.111580\pi\)
\(282\) −4.24374 14.9860i −0.252711 0.892405i
\(283\) 5.72694 + 26.9431i 0.340431 + 1.60160i 0.731900 + 0.681412i \(0.238634\pi\)
−0.391469 + 0.920191i \(0.628033\pi\)
\(284\) 7.86735 + 0.826892i 0.466842 + 0.0490670i
\(285\) 2.90532 1.53252i 0.172097 0.0907787i
\(286\) −15.0910 + 13.9490i −0.892352 + 0.824823i
\(287\) 3.48508i 0.205718i
\(288\) −11.4065 9.70006i −0.672132 0.571581i
\(289\) 10.6381 2.26120i 0.625772 0.133012i
\(290\) 5.60029 26.3473i 0.328860 1.54717i
\(291\) −1.70848 + 3.47378i −0.100153 + 0.203637i
\(292\) 14.7933 1.55484i 0.865713 0.0909901i
\(293\) 14.7137 + 3.12750i 0.859584 + 0.182710i 0.616558 0.787309i \(-0.288527\pi\)
0.243026 + 0.970020i \(0.421860\pi\)
\(294\) 1.73675 + 10.0431i 0.101289 + 0.585727i
\(295\) 29.6902 13.2189i 1.72863 0.769637i
\(296\) 2.35744 + 4.08321i 0.137024 + 0.237332i
\(297\) 16.7356 + 4.11324i 0.971100 + 0.238674i
\(298\) 34.3822 1.99171
\(299\) −13.0737 20.9308i −0.756071 1.21046i
\(300\) −1.72588 9.98026i −0.0996435 0.576211i
\(301\) −9.46242 + 10.5091i −0.545405 + 0.605733i
\(302\) 12.8295 28.8155i 0.738254 1.65814i
\(303\) 4.11152 + 6.13915i 0.236201 + 0.352685i
\(304\) −2.70143 + 0.877748i −0.154938 + 0.0503423i
\(305\) 7.03947 + 7.81812i 0.403079 + 0.447664i
\(306\) 2.29829 12.5497i 0.131385 0.717419i
\(307\) 10.3767i 0.592228i 0.955153 + 0.296114i \(0.0956908\pi\)
−0.955153 + 0.296114i \(0.904309\pi\)
\(308\) 2.31277 + 5.51304i 0.131782 + 0.314135i
\(309\) 13.2929 + 8.36741i 0.756207 + 0.476005i
\(310\) −8.99851 0.945782i −0.511081 0.0537168i
\(311\) 16.0206 + 5.20541i 0.908446 + 0.295172i 0.725719 0.687992i \(-0.241507\pi\)
0.182727 + 0.983164i \(0.441507\pi\)
\(312\) 10.2784 4.53342i 0.581898 0.256654i
\(313\) −12.3363 + 8.96283i −0.697288 + 0.506609i −0.879048 0.476734i \(-0.841821\pi\)
0.181760 + 0.983343i \(0.441821\pi\)
\(314\) 17.0759 + 7.60266i 0.963646 + 0.429043i
\(315\) 4.45826 + 18.3972i 0.251195 + 1.03656i
\(316\) −6.03900 + 5.43754i −0.339720 + 0.305885i
\(317\) −14.2440 + 19.6052i −0.800022 + 1.10114i 0.192766 + 0.981245i \(0.438254\pi\)
−0.992787 + 0.119890i \(0.961746\pi\)
\(318\) 25.9412 + 0.991544i 1.45471 + 0.0556030i
\(319\) −1.29239 15.5255i −0.0723597 0.869259i
\(320\) 4.73307i 0.264586i
\(321\) 3.35266 4.26216i 0.187127 0.237891i
\(322\) −21.7564 + 4.62447i −1.21244 + 0.257711i
\(323\) −1.04522 0.941116i −0.0581573 0.0523651i
\(324\) 7.21504 + 4.64189i 0.400836 + 0.257883i
\(325\) 21.2599 + 6.10042i 1.17929 + 0.338390i
\(326\) −4.59927 14.1551i −0.254730 0.783978i
\(327\) −17.8647 21.4334i −0.987918 1.18527i
\(328\) −0.346538 + 3.29709i −0.0191344 + 0.182051i
\(329\) 4.94748 8.56928i 0.272763 0.472440i
\(330\) −14.7341 29.4624i −0.811086 1.62185i
\(331\) 15.8782 27.5019i 0.872746 1.51164i 0.0136018 0.999907i \(-0.495670\pi\)
0.859144 0.511733i \(-0.170996\pi\)
\(332\) 10.9131 4.85883i 0.598935 0.266663i
\(333\) −4.80011 6.22810i −0.263045 0.341298i
\(334\) −28.0452 5.96118i −1.53456 0.326181i
\(335\) −13.2905 + 29.8510i −0.726139 + 1.63094i
\(336\) −1.08801 16.3330i −0.0593557 0.891041i
\(337\) 9.04177 2.93785i 0.492537 0.160035i −0.0522090 0.998636i \(-0.516626\pi\)
0.544746 + 0.838601i \(0.316626\pi\)
\(338\) 0.787877 22.3266i 0.0428549 1.21441i
\(339\) −0.0173414 + 0.120506i −0.000941853 + 0.00654496i
\(340\) −6.81706 + 3.93583i −0.369707 + 0.213450i
\(341\) −5.14123 + 0.976884i −0.278413 + 0.0529012i
\(342\) 2.64195 1.26706i 0.142860 0.0685150i
\(343\) −11.5864 + 15.9473i −0.625607 + 0.861074i
\(344\) −9.99698 + 9.00132i −0.539001 + 0.485319i
\(345\) 38.0617 10.7783i 2.04917 0.580285i
\(346\) 13.5258 9.82705i 0.727150 0.528305i
\(347\) 2.56960 + 24.4481i 0.137943 + 1.31244i 0.816265 + 0.577678i \(0.196041\pi\)
−0.678321 + 0.734766i \(0.737292\pi\)
\(348\) 1.90106 7.51902i 0.101907 0.403062i
\(349\) −6.96881 32.7857i −0.373032 1.75498i −0.618705 0.785623i \(-0.712342\pi\)
0.245673 0.969353i \(-0.420991\pi\)
\(350\) 11.7173 16.1275i 0.626318 0.862052i
\(351\) −15.9874 + 9.76744i −0.853345 + 0.521347i
\(352\) 4.77302 + 15.8505i 0.254403 + 0.844835i
\(353\) 13.6735 7.89440i 0.727767 0.420176i −0.0898378 0.995956i \(-0.528635\pi\)
0.817605 + 0.575780i \(0.195302\pi\)
\(354\) 26.9155 10.7715i 1.43054 0.572497i
\(355\) −18.5289 20.5785i −0.983413 1.09219i
\(356\) −13.2779 + 4.31424i −0.703726 + 0.228654i
\(357\) 6.73458 4.51029i 0.356432 0.238710i
\(358\) −31.3004 + 3.28981i −1.65428 + 0.173872i
\(359\) 6.91960 + 21.2963i 0.365202 + 1.12398i 0.949854 + 0.312693i \(0.101231\pi\)
−0.584652 + 0.811284i \(0.698769\pi\)
\(360\) 2.38846 + 17.8481i 0.125883 + 0.940678i
\(361\) −1.95228 + 18.5747i −0.102751 + 0.977615i
\(362\) −21.3651 37.0054i −1.12292 1.94496i
\(363\) −13.0734 13.8595i −0.686175 0.727437i
\(364\) −6.02562 2.43579i −0.315828 0.127670i
\(365\) −42.1244 30.6052i −2.20489 1.60195i
\(366\) 6.00844 + 7.20872i 0.314066 + 0.376806i
\(367\) −12.5609 + 13.9503i −0.655673 + 0.728199i −0.975676 0.219218i \(-0.929650\pi\)
0.320003 + 0.947417i \(0.396316\pi\)
\(368\) −34.0204 + 3.57569i −1.77343 + 0.186395i
\(369\) −0.156513 5.52677i −0.00814775 0.287712i
\(370\) −3.12494 + 14.7017i −0.162458 + 0.764304i
\(371\) 11.0356 + 12.2563i 0.572939 + 0.636314i
\(372\) −2.57864 0.371079i −0.133696 0.0192396i
\(373\) 9.79594 + 5.65569i 0.507215 + 0.292841i 0.731688 0.681640i \(-0.238733\pi\)
−0.224473 + 0.974480i \(0.572066\pi\)
\(374\) −9.66295 + 10.2751i −0.499659 + 0.531311i
\(375\) −3.49262 + 5.54856i −0.180358 + 0.286526i
\(376\) 5.53269 7.61510i 0.285327 0.392719i
\(377\) 12.9720 + 10.8889i 0.668091 + 0.560804i
\(378\) 3.34718 + 16.5507i 0.172160 + 0.851275i
\(379\) 13.6352 + 6.07077i 0.700392 + 0.311835i 0.725861 0.687841i \(-0.241441\pi\)
−0.0254694 + 0.999676i \(0.508108\pi\)
\(380\) −1.65150 0.735296i −0.0847202 0.0377199i
\(381\) 1.79505 + 6.33888i 0.0919630 + 0.324751i
\(382\) 12.8036 + 4.16014i 0.655089 + 0.212851i
\(383\) 6.44514 + 14.4760i 0.329331 + 0.739690i 0.999998 0.00206869i \(-0.000658484\pi\)
−0.670667 + 0.741759i \(0.733992\pi\)
\(384\) 0.821633 21.4959i 0.0419288 1.09696i
\(385\) 6.89667 19.7585i 0.351487 1.00698i
\(386\) 39.4336 + 22.7670i 2.00712 + 1.15881i
\(387\) 14.5339 17.0907i 0.738801 0.868768i
\(388\) 2.08399 0.442966i 0.105799 0.0224882i
\(389\) −12.7106 + 4.12991i −0.644451 + 0.209395i −0.612966 0.790109i \(-0.710024\pi\)
−0.0314850 + 0.999504i \(0.510024\pi\)
\(390\) 34.0195 + 11.1847i 1.72265 + 0.566359i
\(391\) −9.95608 13.7034i −0.503501 0.693009i
\(392\) −4.12154 + 4.57743i −0.208169 + 0.231195i
\(393\) −0.860693 + 0.717384i −0.0434162 + 0.0361872i
\(394\) −0.550749 + 0.245209i −0.0277463 + 0.0123535i
\(395\) 28.4457 1.43126
\(396\) −3.91527 8.63893i −0.196750 0.434123i
\(397\) −5.94886 + 10.3037i −0.298565 + 0.517130i −0.975808 0.218630i \(-0.929841\pi\)
0.677243 + 0.735759i \(0.263175\pi\)
\(398\) 3.65864 + 2.65815i 0.183391 + 0.133241i
\(399\) 1.74710 + 0.642424i 0.0874644 + 0.0321614i
\(400\) 20.5146 22.7838i 1.02573 1.13919i
\(401\) −3.61088 + 8.11017i −0.180319 + 0.405002i −0.980978 0.194117i \(-0.937816\pi\)
0.800660 + 0.599119i \(0.204483\pi\)
\(402\) −12.8639 + 26.1556i −0.641593 + 1.30453i
\(403\) 3.18218 4.71590i 0.158516 0.234916i
\(404\) 1.25661 3.86746i 0.0625188 0.192413i
\(405\) −7.89630 28.9747i −0.392370 1.43977i
\(406\) 13.2196 7.63231i 0.656075 0.378785i
\(407\) 0.721146 + 8.66315i 0.0357459 + 0.429417i
\(408\) 6.81979 3.59735i 0.337630 0.178095i
\(409\) 3.49751 + 7.85554i 0.172941 + 0.388431i 0.979132 0.203223i \(-0.0651417\pi\)
−0.806192 + 0.591654i \(0.798475\pi\)
\(410\) −7.85383 + 7.07162i −0.387873 + 0.349242i
\(411\) −17.5082 + 18.0110i −0.863616 + 0.888419i
\(412\) −0.903608 8.59725i −0.0445176 0.423556i
\(413\) 16.8255 + 7.49120i 0.827929 + 0.368618i
\(414\) 34.2945 8.31073i 1.68548 0.408450i
\(415\) −39.7695 12.9219i −1.95221 0.634311i
\(416\) −15.8876 8.45135i −0.778955 0.414361i
\(417\) 2.99427 + 5.67647i 0.146630 + 0.277978i
\(418\) −3.21348 0.408322i −0.157177 0.0199717i
\(419\) −32.6190 + 18.8326i −1.59354 + 0.920032i −0.600850 + 0.799362i \(0.705171\pi\)
−0.992693 + 0.120671i \(0.961496\pi\)
\(420\) 6.44108 8.18841i 0.314293 0.399553i
\(421\) −7.90660 + 24.3340i −0.385344 + 1.18597i 0.550887 + 0.834580i \(0.314290\pi\)
−0.936231 + 0.351386i \(0.885710\pi\)
\(422\) 3.57978 16.8415i 0.174261 0.819832i
\(423\) −7.46106 + 13.8117i −0.362769 + 0.671547i
\(424\) 9.22162 + 12.6925i 0.447842 + 0.616401i
\(425\) 14.8491 + 3.15628i 0.720289 + 0.153102i
\(426\) −15.8151 18.9744i −0.766244 0.919314i
\(427\) −0.623187 + 5.92923i −0.0301581 + 0.286935i
\(428\) −2.98448 −0.144260
\(429\) 20.7058 + 0.520851i 0.999684 + 0.0251469i
\(430\) −42.8832 −2.06801
\(431\) 0.0413854 0.393756i 0.00199347 0.0189666i −0.993480 0.114007i \(-0.963631\pi\)
0.995473 + 0.0950404i \(0.0302980\pi\)
\(432\) 2.45892 + 25.8527i 0.118305 + 1.24384i
\(433\) −21.0455 4.47336i −1.01138 0.214976i −0.327721 0.944775i \(-0.606281\pi\)
−0.683662 + 0.729798i \(0.739614\pi\)
\(434\) −3.01391 4.14829i −0.144672 0.199124i
\(435\) −22.5569 + 15.1068i −1.08152 + 0.724316i
\(436\) −3.19276 + 15.0208i −0.152905 + 0.719364i
\(437\) 1.20208 3.69963i 0.0575034 0.176977i
\(438\) −36.5059 28.7159i −1.74432 1.37210i
\(439\) 18.0118 10.3991i 0.859656 0.496323i −0.00424080 0.999991i \(-0.501350\pi\)
0.863897 + 0.503668i \(0.168017\pi\)
\(440\) 8.48934 18.0069i 0.404714 0.858445i
\(441\) 5.80037 8.47825i 0.276208 0.403726i
\(442\) −0.532323 15.3245i −0.0253200 0.728910i
\(443\) 15.3101 + 4.97456i 0.727405 + 0.236348i 0.649231 0.760591i \(-0.275091\pi\)
0.0781744 + 0.996940i \(0.475091\pi\)
\(444\) −1.06078 + 4.19559i −0.0503426 + 0.199114i
\(445\) 44.6455 + 19.8774i 2.11640 + 0.942281i
\(446\) −5.11070 48.6251i −0.241999 2.30246i
\(447\) −24.8479 24.1542i −1.17527 1.14246i
\(448\) 1.99329 1.79477i 0.0941742 0.0847948i
\(449\) −11.8479 26.6108i −0.559138 1.25584i −0.943104 0.332497i \(-0.892109\pi\)
0.383967 0.923347i \(-0.374558\pi\)
\(450\) −17.8575 + 26.1019i −0.841812 + 1.23045i
\(451\) −3.17024 + 5.22614i −0.149281 + 0.246089i
\(452\) 0.0580278 0.0335024i 0.00272940 0.00157582i
\(453\) −29.5153 + 11.8119i −1.38675 + 0.554972i
\(454\) 3.45420 10.6309i 0.162114 0.498935i
\(455\) 9.96945 + 20.4499i 0.467375 + 0.958708i
\(456\) 1.58898 + 0.781494i 0.0744108 + 0.0365968i
\(457\) −7.22452 + 16.2265i −0.337949 + 0.759045i 0.662006 + 0.749499i \(0.269705\pi\)
−0.999954 + 0.00954633i \(0.996961\pi\)
\(458\) 22.4483 24.9314i 1.04894 1.16497i
\(459\) −10.4774 + 7.45504i −0.489043 + 0.347972i
\(460\) −17.6134 12.7969i −0.821230 0.596658i
\(461\) 17.0550 29.5401i 0.794329 1.37582i −0.128935 0.991653i \(-0.541156\pi\)
0.923264 0.384166i \(-0.125511\pi\)
\(462\) 6.82071 17.3772i 0.317328 0.808462i
\(463\) 10.8089 0.502334 0.251167 0.967944i \(-0.419186\pi\)
0.251167 + 0.967944i \(0.419186\pi\)
\(464\) 21.4466 9.54864i 0.995633 0.443284i
\(465\) 5.83877 + 7.00516i 0.270767 + 0.324857i
\(466\) −12.9613 + 14.3950i −0.600421 + 0.666835i
\(467\) −13.2518 18.2395i −0.613218 0.844022i 0.383619 0.923491i \(-0.374677\pi\)
−0.996837 + 0.0794692i \(0.974677\pi\)
\(468\) 9.66505 + 3.59217i 0.446767 + 0.166048i
\(469\) −17.6112 + 5.72224i −0.813212 + 0.264228i
\(470\) 29.3504 6.23862i 1.35383 0.287766i
\(471\) −6.99965 17.4906i −0.322527 0.805924i
\(472\) 15.1731 + 8.76017i 0.698396 + 0.403219i
\(473\) −23.7493 + 7.15158i −1.09200 + 0.328830i
\(474\) 25.3558 + 0.969167i 1.16463 + 0.0445153i
\(475\) 1.41805 + 3.18500i 0.0650647 + 0.146138i
\(476\) −4.24256 1.37849i −0.194457 0.0631830i
\(477\) −18.0511 18.9409i −0.826503 0.867243i
\(478\) −12.5723 5.59757i −0.575046 0.256027i
\(479\) −12.3786 5.51133i −0.565595 0.251819i 0.103960 0.994581i \(-0.466849\pi\)
−0.669555 + 0.742762i \(0.733515\pi\)
\(480\) 20.1066 20.6840i 0.917736 0.944093i
\(481\) −7.23832 6.07594i −0.330039 0.277039i
\(482\) −13.3515 + 18.3768i −0.608145 + 0.837040i
\(483\) 18.9721 + 11.9423i 0.863260 + 0.543391i
\(484\) −1.54682 + 10.3711i −0.0703101 + 0.471412i
\(485\) −6.45873 3.72895i −0.293276 0.169323i
\(486\) −6.05137 26.0964i −0.274496 1.18376i
\(487\) 24.4183 + 27.1193i 1.10650 + 1.22889i 0.971246 + 0.238080i \(0.0765180\pi\)
0.135253 + 0.990811i \(0.456815\pi\)
\(488\) −1.17914 + 5.54743i −0.0533773 + 0.251121i
\(489\) −6.62038 + 13.4609i −0.299384 + 0.608725i
\(490\) −19.5278 + 2.05246i −0.882178 + 0.0927207i
\(491\) 23.7552 26.3828i 1.07206 1.19064i 0.0912139 0.995831i \(-0.470925\pi\)
0.980842 0.194807i \(-0.0624080\pi\)
\(492\) −2.33746 + 1.94827i −0.105381 + 0.0878346i
\(493\) 9.40439 + 6.83269i 0.423552 + 0.307729i
\(494\) 2.77539 2.16755i 0.124871 0.0975227i
\(495\) −10.0497 + 31.6435i −0.451699 + 1.42227i
\(496\) −3.94296 6.82941i −0.177044 0.306650i
\(497\) 1.64032 15.6066i 0.0735784 0.700052i
\(498\) −35.0093 12.8732i −1.56880 0.576863i
\(499\) −0.503015 1.54812i −0.0225180 0.0693034i 0.939166 0.343464i \(-0.111600\pi\)
−0.961684 + 0.274160i \(0.911600\pi\)
\(500\) 3.58856 0.377172i 0.160485 0.0168677i
\(501\) 16.0803 + 24.0105i 0.718416 + 1.07271i
\(502\) −41.6718 + 13.5400i −1.85990 + 0.604320i
\(503\) −17.3119 19.2268i −0.771897 0.857279i 0.221120 0.975247i \(-0.429029\pi\)
−0.993017 + 0.117968i \(0.962362\pi\)
\(504\) −6.61088 + 7.77384i −0.294472 + 0.346274i
\(505\) −12.3275 + 7.11728i −0.548566 + 0.316715i
\(506\) −36.8321 12.8562i −1.63739 0.571529i
\(507\) −16.2543 + 15.5819i −0.721881 + 0.692017i
\(508\) 2.13123 2.93338i 0.0945578 0.130148i
\(509\) 4.12588 + 19.4107i 0.182876 + 0.860365i 0.969912 + 0.243457i \(0.0782816\pi\)
−0.787035 + 0.616908i \(0.788385\pi\)
\(510\) 23.8294 + 6.02488i 1.05519 + 0.266786i
\(511\) −3.08436 29.3457i −0.136444 1.29818i
\(512\) −5.63399 + 4.09334i −0.248990 + 0.180902i
\(513\) −2.79947 0.940321i −0.123600 0.0415162i
\(514\) 16.6468 14.9888i 0.734257 0.661128i
\(515\) −17.7864 + 24.4809i −0.783764 + 1.07876i
\(516\) −12.3383 0.471603i −0.543163 0.0207612i
\(517\) 15.2143 8.34977i 0.669123 0.367222i
\(518\) −7.37646 + 4.25880i −0.324103 + 0.187121i
\(519\) −16.6788 2.40016i −0.732116 0.105355i
\(520\) 7.39826 + 20.3382i 0.324435 + 0.891888i
\(521\) −15.5773 + 5.06138i −0.682455 + 0.221743i −0.629670 0.776863i \(-0.716810\pi\)
−0.0527852 + 0.998606i \(0.516810\pi\)
\(522\) −20.6213 + 12.6973i −0.902571 + 0.555746i
\(523\) 8.07278 18.1318i 0.352998 0.792846i −0.646553 0.762869i \(-0.723790\pi\)
0.999551 0.0299770i \(-0.00954341\pi\)
\(524\) 0.603182 + 0.128210i 0.0263501 + 0.00560090i
\(525\) −19.7980 + 3.42365i −0.864056 + 0.149420i
\(526\) 18.1034 8.06015i 0.789345 0.351439i
\(527\) 1.95240 3.38165i 0.0850477 0.147307i
\(528\) 13.2260 25.4824i 0.575588 1.10898i
\(529\) 11.9239 20.6528i 0.518430 0.897947i
\(530\) −5.22775 + 49.7387i −0.227079 + 2.16051i
\(531\) −27.0190 11.1242i −1.17252 0.482750i
\(532\) −0.316582 0.974338i −0.0137256 0.0422429i
\(533\) −1.60639 6.44793i −0.0695805 0.279291i
\(534\) 39.1186 + 19.2394i 1.69283 + 0.832569i
\(535\) 7.76366 + 6.99043i 0.335652 + 0.302223i
\(536\) −17.2303 + 3.66241i −0.744234 + 0.158192i
\(537\) 24.9319 + 19.6117i 1.07589 + 0.846307i
\(538\) 2.60813i 0.112444i
\(539\) −10.4725 + 4.39332i −0.451083 + 0.189234i
\(540\) −9.84679 + 13.2748i −0.423738 + 0.571255i
\(541\) 17.5686 24.1811i 0.755332 1.03963i −0.242256 0.970212i \(-0.577887\pi\)
0.997588 0.0694128i \(-0.0221125\pi\)
\(542\) 20.2962 18.2748i 0.871796 0.784969i
\(543\) −10.5566 + 41.7531i −0.453027 + 1.79180i
\(544\) −11.2837 5.02381i −0.483783 0.215394i
\(545\) 43.4881 31.5959i 1.86282 1.35342i
\(546\) 8.18978 + 18.5682i 0.350490 + 0.794647i
\(547\) −1.48969 0.484030i −0.0636946 0.0206956i 0.276996 0.960871i \(-0.410661\pi\)
−0.340691 + 0.940175i \(0.610661\pi\)
\(548\) 13.7485 + 1.44502i 0.587305 + 0.0617283i
\(549\) 0.721995 9.43079i 0.0308140 0.402496i
\(550\) 32.2416 13.5257i 1.37479 0.576736i
\(551\) 2.66965i 0.113731i
\(552\) 16.7613 + 13.1846i 0.713407 + 0.561173i
\(553\) 10.7865 + 11.9797i 0.458690 + 0.509427i
\(554\) −25.3930 + 8.25068i −1.07884 + 0.350538i
\(555\) 12.5866 8.42954i 0.534273 0.357814i
\(556\) 1.43663 3.22673i 0.0609269 0.136844i
\(557\) 21.4875 23.8643i 0.910454 1.01116i −0.0894304 0.995993i \(-0.528505\pi\)
0.999885 0.0151691i \(-0.00482866\pi\)
\(558\) 4.96587 + 6.44316i 0.210222 + 0.272761i
\(559\) 12.6629 23.8050i 0.535585 1.00684i
\(560\) 31.5356 1.33262
\(561\) 14.2019 0.637343i 0.599603 0.0269086i
\(562\) 16.0737 + 27.8405i 0.678028 + 1.17438i
\(563\) 11.7648 5.23802i 0.495826 0.220756i −0.143560 0.989642i \(-0.545855\pi\)
0.639387 + 0.768885i \(0.279188\pi\)
\(564\) 8.51326 1.47219i 0.358473 0.0619904i
\(565\) −0.229422 0.0487651i −0.00965185 0.00205156i
\(566\) −47.0770 + 4.94799i −1.97879 + 0.207979i
\(567\) 9.20820 14.3126i 0.386708 0.601073i
\(568\) 3.10368 14.6017i 0.130228 0.612672i
\(569\) −23.8700 + 5.07373i −1.00068 + 0.212702i −0.678995 0.734143i \(-0.737584\pi\)
−0.321690 + 0.946845i \(0.604251\pi\)
\(570\) 2.09732 + 5.24075i 0.0878472 + 0.219511i
\(571\) 37.0539i 1.55066i −0.631557 0.775330i \(-0.717584\pi\)
0.631557 0.775330i \(-0.282416\pi\)
\(572\) −6.82013 9.13393i −0.285164 0.381909i
\(573\) −6.33054 12.0013i −0.264462 0.501363i
\(574\) −5.95631 0.626033i −0.248611 0.0261301i
\(575\) 8.72962 + 41.0696i 0.364050 + 1.71272i
\(576\) −3.08044 + 2.93573i −0.128352 + 0.122322i
\(577\) 23.1447 16.8156i 0.963524 0.700042i 0.00955786 0.999954i \(-0.496958\pi\)
0.953967 + 0.299913i \(0.0969576\pi\)
\(578\) 1.95364 + 18.5877i 0.0812609 + 0.773146i
\(579\) −12.5043 44.1566i −0.519660 1.83509i
\(580\) 14.2101 + 4.61713i 0.590040 + 0.191716i
\(581\) −9.63855 21.6485i −0.399874 0.898133i
\(582\) −5.63010 3.54395i −0.233375 0.146901i
\(583\) 5.39967 + 28.4179i 0.223631 + 1.17695i
\(584\) 28.0695i 1.16152i
\(585\) −16.7283 31.9826i −0.691632 1.32232i
\(586\) −7.98823 + 24.5853i −0.329991 + 1.01561i
\(587\) 18.5397 + 16.6933i 0.765217 + 0.689004i 0.956241 0.292581i \(-0.0945141\pi\)
−0.191024 + 0.981585i \(0.561181\pi\)
\(588\) −5.64110 + 0.375776i −0.232635 + 0.0154967i
\(589\) 0.891855 0.0937377i 0.0367482 0.00386240i
\(590\) 17.2590 + 53.1178i 0.710543 + 2.18683i
\(591\) 0.570290 + 0.209701i 0.0234586 + 0.00862594i
\(592\) −11.9671 + 5.32810i −0.491845 + 0.218984i
\(593\) 18.1435 0.745063 0.372531 0.928020i \(-0.378490\pi\)
0.372531 + 0.928020i \(0.378490\pi\)
\(594\) −10.0362 + 27.8638i −0.411788 + 1.14327i
\(595\) 7.80758 + 13.5231i 0.320079 + 0.554394i
\(596\) −1.99354 + 18.9673i −0.0816587 + 0.776931i
\(597\) −0.776678 4.49131i −0.0317873 0.183817i
\(598\) 38.1211 18.5842i 1.55889 0.759966i
\(599\) −13.4348 18.4915i −0.548933 0.755541i 0.440934 0.897539i \(-0.354647\pi\)
−0.989867 + 0.141998i \(0.954647\pi\)
\(600\) −19.0705 + 1.27036i −0.778551 + 0.0518623i
\(601\) 15.0450 + 13.5466i 0.613698 + 0.552576i 0.916276 0.400549i \(-0.131180\pi\)
−0.302578 + 0.953125i \(0.597847\pi\)
\(602\) −16.2612 18.0599i −0.662757 0.736066i
\(603\) 27.6716 9.86547i 1.12688 0.401753i
\(604\) 15.1525 + 8.74830i 0.616547 + 0.355963i
\(605\) 28.3156 23.3557i 1.15119 0.949544i
\(606\) −11.2309 + 5.92416i −0.456225 + 0.240653i
\(607\) −10.5859 23.7763i −0.429668 0.965050i −0.990550 0.137154i \(-0.956204\pi\)
0.560882 0.827896i \(-0.310462\pi\)
\(608\) −0.589768 2.77464i −0.0239182 0.112526i
\(609\) −14.9156 3.77116i −0.604411 0.152815i
\(610\) −14.6264 + 10.6267i −0.592205 + 0.430262i
\(611\) −5.20372 + 18.1349i −0.210520 + 0.733661i
\(612\) 6.78992 + 1.99553i 0.274466 + 0.0806646i
\(613\) 4.97552 + 23.4080i 0.200959 + 0.945439i 0.956814 + 0.290700i \(0.0938882\pi\)
−0.755855 + 0.654739i \(0.772778\pi\)
\(614\) −17.7347 1.86399i −0.715712 0.0752244i
\(615\) 10.6439 + 0.406839i 0.429204 + 0.0164053i
\(616\) 10.8026 3.25296i 0.435249 0.131065i
\(617\) −14.2131 8.20593i −0.572197 0.330358i 0.185829 0.982582i \(-0.440503\pi\)
−0.758026 + 0.652224i \(0.773836\pi\)
\(618\) −16.6885 + 21.2157i −0.671309 + 0.853421i
\(619\) −6.82406 + 21.0023i −0.274282 + 0.844154i 0.715126 + 0.698995i \(0.246369\pi\)
−0.989408 + 0.145158i \(0.953631\pi\)
\(620\) 1.04350 4.90929i 0.0419080 0.197162i
\(621\) −30.6230 18.0865i −1.22886 0.725785i
\(622\) −11.7743 + 26.4456i −0.472108 + 1.06037i
\(623\) 8.55823 + 26.3395i 0.342878 + 1.05527i
\(624\) 9.54144 + 29.7171i 0.381963 + 1.18964i
\(625\) 14.5956 + 10.6043i 0.583825 + 0.424174i
\(626\) −13.1023 22.6938i −0.523672 0.907027i
\(627\) 2.03552 + 2.55263i 0.0812909 + 0.101942i
\(628\) −5.18418 + 8.97927i −0.206871 + 0.358312i
\(629\) −5.24762 3.81262i −0.209236 0.152019i
\(630\) −32.2432 + 4.31484i −1.28460 + 0.171907i
\(631\) 10.8891 + 2.31455i 0.433488 + 0.0921407i 0.419487 0.907761i \(-0.362210\pi\)
0.0140007 + 0.999902i \(0.495543\pi\)
\(632\) 9.01351 + 12.4060i 0.358538 + 0.493486i
\(633\) −14.4186 + 9.65646i −0.573089 + 0.383810i
\(634\) −30.9483 27.8660i −1.22911 1.10670i
\(635\) −12.4148 + 2.63885i −0.492667 + 0.104720i
\(636\) −2.05112 + 14.2533i −0.0813321 + 0.565179i
\(637\) 4.62701 11.4462i 0.183329 0.453515i
\(638\) 26.7666 + 0.580077i 1.05970 + 0.0229655i
\(639\) −1.90040 + 24.8232i −0.0751786 + 0.981992i
\(640\) 41.2155 + 4.33192i 1.62919 + 0.171234i
\(641\) −23.0583 + 20.7617i −0.910746 + 0.820039i −0.984164 0.177262i \(-0.943276\pi\)
0.0734176 + 0.997301i \(0.476609\pi\)
\(642\) 6.68217 + 6.49561i 0.263724 + 0.256361i
\(643\) −1.20798 11.4932i −0.0476382 0.453248i −0.992176 0.124845i \(-0.960157\pi\)
0.944538 0.328402i \(-0.106510\pi\)
\(644\) −1.28966 12.2703i −0.0508197 0.483517i
\(645\) 30.9916 + 30.1264i 1.22029 + 1.18622i
\(646\) 1.79621 1.61731i 0.0706708 0.0636323i
\(647\) −15.8559 1.66652i −0.623360 0.0655177i −0.212417 0.977179i \(-0.568134\pi\)
−0.410942 + 0.911661i \(0.634800\pi\)
\(648\) 10.1347 12.6250i 0.398128 0.495955i
\(649\) 18.4167 + 26.5392i 0.722919 + 1.04175i
\(650\) −14.2451 + 35.2393i −0.558740 + 1.38220i
\(651\) −0.736116 + 5.11529i −0.0288507 + 0.200484i
\(652\) 8.07549 1.71650i 0.316260 0.0672232i
\(653\) 17.4318 + 15.6957i 0.682160 + 0.614220i 0.935571 0.353139i \(-0.114886\pi\)
−0.253411 + 0.967359i \(0.581552\pi\)
\(654\) 39.8407 26.6822i 1.55789 1.04335i
\(655\) −1.26878 1.74633i −0.0495755 0.0682349i
\(656\) −9.00967 1.91506i −0.351769 0.0747707i
\(657\) 6.20921 + 46.3991i 0.242244 + 1.81020i
\(658\) 13.7569 + 9.99500i 0.536301 + 0.389646i
\(659\) −6.60777 + 11.4450i −0.257402 + 0.445833i −0.965545 0.260236i \(-0.916200\pi\)
0.708143 + 0.706069i \(0.249533\pi\)
\(660\) 17.1076 6.41995i 0.665912 0.249896i
\(661\) 1.20983 + 2.09549i 0.0470570 + 0.0815051i 0.888595 0.458694i \(-0.151682\pi\)
−0.841538 + 0.540199i \(0.818349\pi\)
\(662\) 44.1509 + 32.0775i 1.71597 + 1.24673i
\(663\) −10.3811 + 11.4489i −0.403167 + 0.444639i
\(664\) −6.96602 21.4392i −0.270334 0.832003i
\(665\) −1.45862 + 3.27611i −0.0565628 + 0.127042i
\(666\) 11.5066 7.08505i 0.445873 0.274540i
\(667\) −6.68454 + 31.4483i −0.258826 + 1.21768i
\(668\) 4.91466 15.1258i 0.190154 0.585234i
\(669\) −30.4667 + 38.7316i −1.17791 + 1.49745i
\(670\) −48.6306 28.0769i −1.87877 1.08471i
\(671\) −6.32811 + 8.32444i −0.244294 + 0.321362i
\(672\) 16.3353 + 0.624379i 0.630147 + 0.0240859i
\(673\) −0.926884 0.0974195i −0.0357288 0.00375524i 0.0866472 0.996239i \(-0.472385\pi\)
−0.122376 + 0.992484i \(0.539051\pi\)
\(674\) 3.39685 + 15.9809i 0.130842 + 0.615562i
\(675\) 31.2427 6.31848i 1.20253 0.243198i
\(676\) 12.2711 + 1.72918i 0.471964 + 0.0665070i
\(677\) −11.0330 + 8.01596i −0.424033 + 0.308078i −0.779259 0.626702i \(-0.784404\pi\)
0.355225 + 0.934781i \(0.384404\pi\)
\(678\) −0.202840 0.0512846i −0.00779001 0.00196957i
\(679\) −0.878719 4.13405i −0.0337221 0.158650i
\(680\) 6.04176 + 13.5700i 0.231691 + 0.520387i
\(681\) −9.96481 + 5.25631i −0.381852 + 0.201422i
\(682\) −0.746049 8.96231i −0.0285677 0.343185i
\(683\) 18.5093 + 10.6864i 0.708241 + 0.408903i 0.810409 0.585864i \(-0.199245\pi\)
−0.102169 + 0.994767i \(0.532578\pi\)
\(684\) 0.545805 + 1.53093i 0.0208694 + 0.0585364i
\(685\) −32.3799 35.9615i −1.23717 1.37402i
\(686\) −25.1741 22.6668i −0.961151 0.865424i
\(687\) −33.7382 + 2.24743i −1.28719 + 0.0857449i
\(688\) −21.9686 30.2372i −0.837545 1.15278i
\(689\) −26.0669 17.5893i −0.993068 0.670099i
\(690\) 11.5840 + 66.9870i 0.440995 + 2.55015i
\(691\) 2.83789 27.0007i 0.107958 1.02716i −0.797673 0.603090i \(-0.793936\pi\)
0.905632 0.424065i \(-0.139397\pi\)
\(692\) 4.63695 + 8.03143i 0.176270 + 0.305309i
\(693\) −17.1372 + 7.76679i −0.650988 + 0.295036i
\(694\) −42.2456 −1.60362
\(695\) −11.2950 + 5.02888i −0.428446 + 0.190756i
\(696\) −13.7361 5.05088i −0.520664 0.191453i
\(697\) −1.40939 4.33766i −0.0533845 0.164301i
\(698\) 57.2854 6.02094i 2.16829 0.227896i
\(699\) 19.4799 1.29763i 0.736797 0.0490809i
\(700\) 8.21753 + 7.39910i 0.310593 + 0.279660i
\(701\) −6.79395 + 20.9096i −0.256604 + 0.789746i 0.736905 + 0.675996i \(0.236286\pi\)
−0.993509 + 0.113750i \(0.963714\pi\)
\(702\) −13.8216 29.0784i −0.521661 1.09750i
\(703\) 1.48966i 0.0561835i
\(704\) 4.62172 0.878172i 0.174188 0.0330974i
\(705\) −25.5942 16.1106i −0.963934 0.606762i
\(706\) 11.0360 + 24.7873i 0.415346 + 0.932883i
\(707\) −7.67194 2.49276i −0.288533 0.0937500i
\(708\) 4.38159 + 15.4728i 0.164670 + 0.581503i
\(709\) −2.13793 20.3410i −0.0802915 0.763922i −0.958394 0.285449i \(-0.907857\pi\)
0.878102 0.478473i \(-0.158810\pi\)
\(710\) 38.4988 27.9710i 1.44483 1.04973i
\(711\) −17.6437 18.5134i −0.661691 0.694307i
\(712\) 5.47753 + 25.7698i 0.205279 + 0.965762i
\(713\) 10.7407 + 1.12889i 0.402241 + 0.0422773i
\(714\) 6.49874 + 12.3202i 0.243209 + 0.461071i
\(715\) −3.65256 + 39.7351i −0.136598 + 1.48601i
\(716\) 17.4580i 0.652436i
\(717\) 5.15360 + 12.8777i 0.192465 + 0.480926i
\(718\) −37.6403 + 8.00069i −1.40472 + 0.298583i
\(719\) −0.674204 + 3.17188i −0.0251436 + 0.118291i −0.988930 0.148386i \(-0.952592\pi\)
0.963786 + 0.266677i \(0.0859256\pi\)
\(720\) −50.0104 + 1.41625i −1.86378 + 0.0527805i
\(721\) −17.0545 + 1.79250i −0.635143 + 0.0667563i
\(722\) −31.3951 6.67323i −1.16840 0.248352i
\(723\) 22.5592 3.90114i 0.838986 0.145085i
\(724\) 21.6532 9.64063i 0.804735 0.358291i
\(725\) −14.4075 24.9546i −0.535082 0.926790i
\(726\) 26.0356 19.8540i 0.966271 0.736849i
\(727\) −7.87386 −0.292025 −0.146013 0.989283i \(-0.546644\pi\)
−0.146013 + 0.989283i \(0.546644\pi\)
\(728\) −5.75985 + 10.8279i −0.213474 + 0.401309i
\(729\) −13.9600 + 23.1110i −0.517035 + 0.855964i
\(730\) 59.8739 66.4967i 2.21603 2.46115i
\(731\) 7.52734 16.9067i 0.278409 0.625317i
\(732\) −4.32515 + 2.89665i −0.159862 + 0.107063i
\(733\) −25.7204 + 8.35708i −0.950006 + 0.308676i −0.742718 0.669604i \(-0.766464\pi\)
−0.207288 + 0.978280i \(0.566464\pi\)
\(734\) −21.5859 23.9736i −0.796751 0.884882i
\(735\) 15.5546 + 12.2354i 0.573741 + 0.451310i
\(736\) 34.1617i 1.25922i
\(737\) −31.6147 7.43933i −1.16454 0.274031i
\(738\) 9.47386 + 0.725293i 0.348738 + 0.0266984i
\(739\) −9.05104 0.951303i −0.332948 0.0349942i −0.0634204 0.997987i \(-0.520201\pi\)
−0.269528 + 0.962993i \(0.586868\pi\)
\(740\) −7.92916 2.57634i −0.291482 0.0947081i
\(741\) −3.52852 0.383286i −0.129623 0.0140804i
\(742\) −22.9294 + 16.6592i −0.841765 + 0.611578i
\(743\) −29.4738 13.1226i −1.08129 0.481421i −0.212784 0.977099i \(-0.568253\pi\)
−0.868506 + 0.495678i \(0.834920\pi\)
\(744\) −1.20505 + 4.76617i −0.0441792 + 0.174736i
\(745\) 49.6123 44.6712i 1.81766 1.63662i
\(746\) −11.4257 + 15.7262i −0.418326 + 0.575777i
\(747\) 16.2574 + 33.8982i 0.594828 + 1.24027i
\(748\) −5.10808 5.92644i −0.186770 0.216692i
\(749\) 5.92035i 0.216325i
\(750\) −8.85559 6.96589i −0.323360 0.254358i
\(751\) 38.4266 8.16783i 1.40221 0.298048i 0.556124 0.831100i \(-0.312288\pi\)
0.846083 + 0.533051i \(0.178955\pi\)
\(752\) 19.4348 + 17.4991i 0.708713 + 0.638128i
\(753\) 39.6283 + 19.4900i 1.44413 + 0.710256i
\(754\) −20.9402 + 20.2143i −0.762597 + 0.736161i
\(755\) −18.9261 58.2485i −0.688791 2.11988i
\(756\) −9.32443 + 0.886870i −0.339126 + 0.0322551i
\(757\) −0.426924 + 4.06191i −0.0155168 + 0.147633i −0.999537 0.0304238i \(-0.990314\pi\)
0.984020 + 0.178056i \(0.0569810\pi\)
\(758\) −12.8248 + 22.2132i −0.465818 + 0.806821i
\(759\) 17.5867 + 35.1665i 0.638358 + 1.27646i
\(760\) −1.70570 + 2.95436i −0.0618722 + 0.107166i
\(761\) 33.4457 14.8910i 1.21240 0.539797i 0.301917 0.953334i \(-0.402373\pi\)
0.910487 + 0.413537i \(0.135707\pi\)
\(762\) −11.1562 + 1.92922i −0.404145 + 0.0698884i
\(763\) 29.7969 + 6.33353i 1.07872 + 0.229289i
\(764\) −3.03736 + 6.82203i −0.109888 + 0.246812i
\(765\) −12.9889 21.0949i −0.469614 0.762687i
\(766\) −25.8986 + 8.41496i −0.935753 + 0.304045i
\(767\) −34.5827 6.10442i −1.24871 0.220418i
\(768\) 31.7274 + 4.56573i 1.14486 + 0.164752i
\(769\) −27.1946 + 15.7008i −0.980662 + 0.566186i −0.902470 0.430753i \(-0.858248\pi\)
−0.0781922 + 0.996938i \(0.524915\pi\)
\(770\) 32.5301 + 15.3363i 1.17230 + 0.552682i
\(771\) −22.5605 0.862325i −0.812498 0.0310559i
\(772\) −14.8461 + 20.4339i −0.534323 + 0.735432i
\(773\) 22.5207 20.2777i 0.810013 0.729339i −0.156021 0.987754i \(-0.549867\pi\)
0.966034 + 0.258415i \(0.0832001\pi\)
\(774\) 26.5987 + 27.9098i 0.956071 + 1.00320i
\(775\) −7.83073 + 5.68935i −0.281288 + 0.204368i
\(776\) −0.420252 3.99843i −0.0150862 0.143535i
\(777\) 8.32286 + 2.10430i 0.298581 + 0.0754912i
\(778\) −4.77515 22.4653i −0.171198 0.805421i
\(779\) 0.615673 0.847402i 0.0220588 0.0303613i
\(780\) −8.14267 + 18.1187i −0.291554 + 0.648755i
\(781\) 16.6565 21.9112i 0.596017 0.784043i
\(782\) 25.2087 14.5543i 0.901462 0.520459i
\(783\) 23.8231 + 5.31061i 0.851369 + 0.189786i
\(784\) −11.4511 12.7177i −0.408968 0.454205i
\(785\) 34.5177 11.2155i 1.23199 0.400298i
\(786\) −1.07146 1.59987i −0.0382179 0.0570653i
\(787\) −28.3365 + 2.97829i −1.01009 + 0.106164i −0.595091 0.803659i \(-0.702884\pi\)
−0.414997 + 0.909823i \(0.636217\pi\)
\(788\) −0.103339 0.318044i −0.00368130 0.0113299i
\(789\) −18.7457 6.89297i −0.667365 0.245396i
\(790\) −5.10977 + 48.6162i −0.181798 + 1.72969i
\(791\) −0.0664592 0.115111i −0.00236302 0.00409287i
\(792\) −16.9851 + 5.64381i −0.603539 + 0.200544i
\(793\) −1.57999 11.2572i −0.0561071 0.399756i
\(794\) −16.5414 12.0180i −0.587032 0.426504i
\(795\) 38.7206 32.2735i 1.37328 1.14462i
\(796\) −1.67853 + 1.86420i −0.0594941 + 0.0660749i
\(797\) 17.5093 1.84030i 0.620210 0.0651867i 0.210788 0.977532i \(-0.432397\pi\)
0.409422 + 0.912345i \(0.365730\pi\)
\(798\) −1.41180 + 2.87055i −0.0499771 + 0.101616i
\(799\) −2.69234 + 12.6665i −0.0952481 + 0.448107i
\(800\) 20.4870 + 22.7531i 0.724323 + 0.804443i
\(801\) −14.7549 41.3859i −0.521338 1.46230i
\(802\) −13.2124 7.62816i −0.466545 0.269360i
\(803\) 22.0695 46.8119i 0.778814 1.65196i
\(804\) −13.6832 8.61307i −0.482568 0.303759i
\(805\) −25.3854 + 34.9400i −0.894719 + 1.23147i
\(806\) 7.48827 + 6.28575i 0.263763 + 0.221406i
\(807\) 1.83227 1.88489i 0.0644989 0.0663513i
\(808\) −7.01024 3.12116i −0.246619 0.109802i
\(809\) 5.82620 + 2.59399i 0.204838 + 0.0911999i 0.506592 0.862186i \(-0.330905\pi\)
−0.301753 + 0.953386i \(0.597572\pi\)
\(810\) 50.9388 8.29068i 1.78981 0.291305i
\(811\) 0.580182 + 0.188513i 0.0203729 + 0.00661957i 0.319186 0.947692i \(-0.396591\pi\)
−0.298813 + 0.954312i \(0.596591\pi\)
\(812\) 3.44395 + 7.73525i 0.120859 + 0.271454i
\(813\) −27.5064 1.05137i −0.964693 0.0368732i
\(814\) −14.9356 0.323681i −0.523494 0.0113450i
\(815\) −25.0276 14.4497i −0.876680 0.506151i
\(816\) 7.95939 + 19.8888i 0.278634 + 0.696246i
\(817\) 4.15734 0.883669i 0.145447 0.0309157i
\(818\) −14.0541 + 4.56645i −0.491389 + 0.159662i
\(819\) 7.12585 19.1727i 0.248997 0.669949i
\(820\) −3.44576 4.74268i −0.120331 0.165621i
\(821\) 5.23178 5.81048i 0.182590 0.202787i −0.644900 0.764267i \(-0.723101\pi\)
0.827490 + 0.561480i \(0.189768\pi\)
\(822\) −27.6374 33.1585i −0.963966 1.15653i
\(823\) −35.0678 + 15.6132i −1.22239 + 0.544241i −0.913492 0.406856i \(-0.866625\pi\)
−0.308893 + 0.951097i \(0.599958\pi\)
\(824\) −16.3128 −0.568284
\(825\) −32.8030 12.8755i −1.14205 0.448266i
\(826\) −15.8255 + 27.4106i −0.550641 + 0.953738i
\(827\) 1.55483 + 1.12965i 0.0540668 + 0.0392818i 0.614490 0.788924i \(-0.289362\pi\)
−0.560424 + 0.828206i \(0.689362\pi\)
\(828\) 2.59625 + 19.4008i 0.0902258 + 0.674225i
\(829\) 15.2980 16.9902i 0.531323 0.590094i −0.416403 0.909180i \(-0.636709\pi\)
0.947726 + 0.319086i \(0.103376\pi\)
\(830\) 29.2286 65.6484i 1.01454 2.27869i
\(831\) 24.1477 + 11.8764i 0.837676 + 0.411987i
\(832\) −2.86063 + 4.23937i −0.0991743 + 0.146974i
\(833\) 2.61857 8.05912i 0.0907280 0.279232i
\(834\) −10.2395 + 4.09779i −0.354564 + 0.141895i
\(835\) −48.2133 + 27.8360i −1.66849 + 0.963304i
\(836\) 0.411579 1.74908i 0.0142348 0.0604931i
\(837\) 0.937637 8.14509i 0.0324095 0.281535i
\(838\) −26.3271 59.1317i −0.909456 2.04267i
\(839\) 40.1586 36.1589i 1.38643 1.24835i 0.452083 0.891976i \(-0.350681\pi\)
0.934345 0.356369i \(-0.115986\pi\)
\(840\) −14.0968 13.7032i −0.486386 0.472807i
\(841\) 0.724949 + 6.89742i 0.0249982 + 0.237842i
\(842\) −40.1687 17.8843i −1.38430 0.616332i
\(843\) 7.94210 31.4124i 0.273540 1.08190i
\(844\) 9.08325 + 2.95133i 0.312658 + 0.101589i
\(845\) −27.8711 33.2403i −0.958795 1.14350i
\(846\) −22.2652 15.2326i −0.765492 0.523709i
\(847\) 20.5733 + 3.06846i 0.706906 + 0.105433i
\(848\) −37.7492 + 21.7945i −1.29631 + 0.748426i
\(849\) 37.4985 + 29.4967i 1.28695 + 1.01232i
\(850\) −8.06175 + 24.8115i −0.276516 + 0.851028i
\(851\) 3.72995 17.5480i 0.127861 0.601538i
\(852\) 11.3844 7.62440i 0.390024 0.261208i
\(853\) 4.69929 + 6.46802i 0.160901 + 0.221461i 0.881854 0.471523i \(-0.156296\pi\)
−0.720953 + 0.692984i \(0.756296\pi\)
\(854\) −10.0216 2.13016i −0.342933 0.0728927i
\(855\) 2.16601 5.26089i 0.0740759 0.179919i
\(856\) −0.588690 + 5.60101i −0.0201210 + 0.191439i
\(857\) −21.1854 −0.723678 −0.361839 0.932241i \(-0.617851\pi\)
−0.361839 + 0.932241i \(0.617851\pi\)
\(858\) −4.60961 + 35.2944i −0.157369 + 1.20493i
\(859\) −19.1795 −0.654394 −0.327197 0.944956i \(-0.606104\pi\)
−0.327197 + 0.944956i \(0.606104\pi\)
\(860\) 2.48645 23.6570i 0.0847872 0.806696i
\(861\) 3.86481 + 4.63687i 0.131712 + 0.158024i
\(862\) 0.665530 + 0.141463i 0.0226680 + 0.00481824i
\(863\) 12.7366 + 17.5304i 0.433558 + 0.596742i 0.968765 0.247979i \(-0.0797664\pi\)
−0.535207 + 0.844721i \(0.679766\pi\)
\(864\) −25.9332 0.256554i −0.882264 0.00872816i
\(865\) 6.74942 31.7535i 0.229487 1.07965i
\(866\) 11.4258 35.1651i 0.388266 1.19496i
\(867\) 11.6464 14.8058i 0.395531 0.502830i
\(868\) 2.46320 1.42213i 0.0836064 0.0482702i
\(869\) 5.27781 + 27.7765i 0.179037 + 0.942254i
\(870\) −21.7669 41.2653i −0.737968 1.39903i
\(871\) 29.9459 18.7046i 1.01468 0.633783i
\(872\) 27.5599 + 8.95475i 0.933295 + 0.303246i
\(873\) 1.57917 + 6.51647i 0.0534466 + 0.220549i
\(874\) 6.10706 + 2.71904i 0.206574 + 0.0919729i
\(875\) −0.748203 7.11868i −0.0252939 0.240655i
\(876\) 17.9581 18.4739i 0.606749 0.624175i
\(877\) −22.4386 + 20.2038i −0.757697 + 0.682233i −0.954500 0.298210i \(-0.903611\pi\)
0.196804 + 0.980443i \(0.436944\pi\)
\(878\) 14.5375 + 32.6518i 0.490617 + 1.10194i
\(879\) 23.0447 12.1558i 0.777280 0.410005i
\(880\) 47.2901 + 28.6867i 1.59415 + 0.967030i
\(881\) 8.86743 5.11961i 0.298751 0.172484i −0.343131 0.939288i \(-0.611487\pi\)
0.641882 + 0.766804i \(0.278154\pi\)
\(882\) 13.4481 + 11.4363i 0.452823 + 0.385081i
\(883\) 13.3215 40.9994i 0.448305 1.37974i −0.430514 0.902584i \(-0.641668\pi\)
0.878818 0.477156i \(-0.158332\pi\)
\(884\) 8.48477 + 0.594880i 0.285374 + 0.0200080i
\(885\) 24.8434 50.5130i 0.835100 1.69798i
\(886\) −11.2522 + 25.2728i −0.378023 + 0.849055i
\(887\) 6.01597 6.68141i 0.201997 0.224340i −0.633632 0.773634i \(-0.718437\pi\)
0.835629 + 0.549294i \(0.185103\pi\)
\(888\) 7.66468 + 2.81837i 0.257210 + 0.0945783i
\(889\) −5.81900 4.22775i −0.195163 0.141794i
\(890\) −41.9921 + 72.7324i −1.40758 + 2.43800i
\(891\) 26.8280 13.0865i 0.898773 0.438414i
\(892\) 27.1209 0.908074
\(893\) −2.71683 + 1.20961i −0.0909154 + 0.0404781i
\(894\) 45.7452 38.1284i 1.52995 1.27521i
\(895\) −40.8912 + 45.4143i −1.36684 + 1.51803i
\(896\) 13.8045 + 19.0002i 0.461175 + 0.634753i
\(897\) −40.6059 13.3501i −1.35579 0.445747i
\(898\) 47.6086 15.4690i 1.58872 0.516206i
\(899\) −7.24978 + 1.54099i −0.241794 + 0.0513949i
\(900\) −13.3640 11.3647i −0.445466 0.378824i
\(901\) −18.6919 10.7917i −0.622716 0.359525i
\(902\) −8.36246 6.35701i −0.278440 0.211665i
\(903\) −0.935527 + 24.4757i −0.0311324 + 0.814500i
\(904\) −0.0514283 0.115510i −0.00171048 0.00384180i
\(905\) −78.9085 25.6389i −2.62301 0.852266i
\(906\) −14.8857 52.5661i −0.494544 1.74639i
\(907\) 9.36308 + 4.16871i 0.310896 + 0.138420i 0.556253 0.831013i \(-0.312239\pi\)
−0.245357 + 0.969433i \(0.578905\pi\)
\(908\) 5.66439 + 2.52195i 0.187979 + 0.0836938i
\(909\) 12.2784 + 3.60858i 0.407249 + 0.119689i
\(910\) −36.7416 + 13.3652i −1.21797 + 0.443052i
\(911\) 1.47359 2.02822i 0.0488221 0.0671978i −0.783908 0.620877i \(-0.786777\pi\)
0.832730 + 0.553679i \(0.186777\pi\)
\(912\) −2.62084 + 4.16361i −0.0867848 + 0.137871i
\(913\) 5.23909 41.2315i 0.173389 1.36456i
\(914\) −26.4348 15.2622i −0.874386 0.504827i
\(915\) 18.0359 + 2.59546i 0.596250 + 0.0858034i
\(916\) 12.4521 + 13.8294i 0.411428 + 0.456937i
\(917\) 0.254333 1.19654i 0.00839882 0.0395133i
\(918\) −10.8593 19.2460i −0.358409 0.635212i
\(919\) 9.73538 1.02323i 0.321141 0.0337532i 0.0574132 0.998351i \(-0.481715\pi\)
0.263727 + 0.964597i \(0.415048\pi\)
\(920\) −27.4904 + 30.5312i −0.906331 + 1.00658i
\(921\) 11.5073 + 13.8061i 0.379179 + 0.454926i
\(922\) 47.4230 + 34.4548i 1.56179 + 1.13471i
\(923\) 4.15877 + 29.6307i 0.136888 + 0.975306i
\(924\) 9.19086 + 4.77028i 0.302357 + 0.156931i
\(925\) 8.03935 + 13.9246i 0.264332 + 0.457837i
\(926\) −1.94164 + 18.4734i −0.0638061 + 0.607075i
\(927\) 26.9652 3.60853i 0.885654 0.118520i
\(928\) 7.24478 + 22.2971i 0.237822 + 0.731939i
\(929\) −19.3719 + 2.03607i −0.635571 + 0.0668012i −0.416834 0.908983i \(-0.636860\pi\)
−0.218737 + 0.975784i \(0.570194\pi\)
\(930\) −13.0213 + 8.72063i −0.426985 + 0.285961i
\(931\) 1.85084 0.601376i 0.0606590 0.0197093i
\(932\) −7.18963 7.98489i −0.235504 0.261554i
\(933\) 27.0879 10.8405i 0.886818 0.354901i
\(934\) 33.5533 19.3720i 1.09790 0.633872i
\(935\) −0.593398 + 27.3812i −0.0194062 + 0.895462i
\(936\) 8.64792 17.4300i 0.282666 0.569717i
\(937\) −9.05884 + 12.4684i −0.295939 + 0.407326i −0.930932 0.365193i \(-0.881003\pi\)
0.634993 + 0.772518i \(0.281003\pi\)
\(938\) −6.61627 31.1271i −0.216029 1.01634i
\(939\) −6.47390 + 25.6054i −0.211268 + 0.835601i
\(940\) 1.73981 + 16.5532i 0.0567463 + 0.539905i
\(941\) 14.7501 10.7166i 0.480839 0.349350i −0.320811 0.947143i \(-0.603956\pi\)
0.801650 + 0.597793i \(0.203956\pi\)
\(942\) 31.1503 8.82116i 1.01493 0.287409i
\(943\) 9.37438 8.44073i 0.305272 0.274868i
\(944\) −28.6121 + 39.3811i −0.931243 + 1.28175i
\(945\) 26.3334 + 19.5332i 0.856625 + 0.635416i
\(946\) −7.95654 41.8744i −0.258689 1.36145i
\(947\) −8.80630 + 5.08432i −0.286166 + 0.165218i −0.636212 0.771515i \(-0.719500\pi\)
0.350045 + 0.936733i \(0.386166\pi\)
\(948\) −2.00483 + 13.9316i −0.0651138 + 0.452478i
\(949\) 19.2330 + 52.8724i 0.624329 + 1.71631i
\(950\) −5.69817 + 1.85145i −0.184873 + 0.0600689i
\(951\) 2.78982 + 41.8805i 0.0904662 + 1.35807i
\(952\) −3.42388 + 7.69016i −0.110969 + 0.249239i
\(953\) 14.0663 + 2.98988i 0.455652 + 0.0968518i 0.430019 0.902820i \(-0.358507\pi\)
0.0256324 + 0.999671i \(0.491840\pi\)
\(954\) 35.6142 27.4485i 1.15305 0.888679i
\(955\) 23.8802 10.6322i 0.772746 0.344049i
\(956\) 3.81693 6.61112i 0.123448 0.213819i
\(957\) −18.9366 19.2233i −0.612134 0.621401i
\(958\) 11.6430 20.1662i 0.376167 0.651540i
\(959\) 2.86651 27.2731i 0.0925646 0.880693i
\(960\) −5.24878 6.29731i −0.169404 0.203245i
\(961\) −8.81017 27.1149i −0.284199 0.874675i
\(962\) 11.6846 11.2795i 0.376725 0.363666i
\(963\) −0.265880 9.38873i −0.00856788 0.302548i
\(964\) −9.36361 8.43104i −0.301582 0.271545i
\(965\) 86.4815 18.3822i 2.78394 0.591744i
\(966\) −23.8184 + 30.2798i −0.766344 + 0.974236i
\(967\) 46.6385i 1.49979i 0.661555 + 0.749897i \(0.269897\pi\)
−0.661555 + 0.749897i \(0.730103\pi\)
\(968\) 19.1584 + 4.94864i 0.615775 + 0.159055i
\(969\) −2.43431 0.0930459i −0.0782013 0.00298907i
\(970\) 7.53330 10.3687i 0.241880 0.332919i
\(971\) 13.7422 12.3735i 0.441007 0.397085i −0.418493 0.908220i \(-0.637442\pi\)
0.859500 + 0.511135i \(0.170775\pi\)
\(972\) 14.7472 1.82519i 0.473018 0.0585430i
\(973\) −6.40092 2.84988i −0.205204 0.0913628i
\(974\) −50.7355 + 36.8615i −1.62567 + 1.18112i
\(975\) 35.0513 15.4599i 1.12254 0.495112i
\(976\) −14.9859 4.86921i −0.479686 0.155860i
\(977\) 10.1387 + 1.06562i 0.324366 + 0.0340922i 0.265312 0.964163i \(-0.414525\pi\)
0.0590538 + 0.998255i \(0.481192\pi\)
\(978\) −21.8167 13.7328i −0.697622 0.439128i
\(979\) −11.1263 + 47.2833i −0.355599 + 1.51118i
\(980\) 10.8918i 0.347924i
\(981\) −47.5376 8.70580i −1.51776 0.277955i
\(982\) 40.8233 + 45.3389i 1.30272 + 1.44682i
\(983\) −13.7375 + 4.46359i −0.438159 + 0.142366i −0.519786 0.854297i \(-0.673988\pi\)
0.0816272 + 0.996663i \(0.473988\pi\)
\(984\) 3.19527 + 4.77105i 0.101862 + 0.152095i
\(985\) −0.476124 + 1.06939i −0.0151706 + 0.0340736i
\(986\) −13.3670 + 14.8456i −0.425692 + 0.472779i
\(987\) −2.92041 16.8879i −0.0929576 0.537548i
\(988\) 1.03483 + 1.65675i 0.0329223 + 0.0527083i
\(989\) 51.1856 1.62761
\(990\) −52.2763 22.8600i −1.66145 0.726538i
\(991\) −7.41023 12.8349i −0.235394 0.407714i 0.723993 0.689807i \(-0.242305\pi\)
−0.959387 + 0.282093i \(0.908971\pi\)
\(992\) 7.19445 3.20318i 0.228424 0.101701i
\(993\) −9.37263 54.1994i −0.297432 1.71996i
\(994\) 26.3784 + 5.60691i 0.836673 + 0.177840i
\(995\) 8.73291 0.917865i 0.276852 0.0290983i
\(996\) 9.13157 18.5668i 0.289345 0.588313i
\(997\) 3.20787 15.0918i 0.101594 0.477963i −0.897707 0.440593i \(-0.854768\pi\)
0.999301 0.0373709i \(-0.0118983\pi\)
\(998\) 2.73623 0.581605i 0.0866140 0.0184104i
\(999\) −13.2932 2.96330i −0.420579 0.0937547i
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.bq.a.29.12 416
3.2 odd 2 inner 429.2.bq.a.29.41 yes 416
11.8 odd 10 inner 429.2.bq.a.107.12 yes 416
13.9 even 3 inner 429.2.bq.a.425.41 yes 416
33.8 even 10 inner 429.2.bq.a.107.41 yes 416
39.35 odd 6 inner 429.2.bq.a.425.12 yes 416
143.74 odd 30 inner 429.2.bq.a.74.41 yes 416
429.74 even 30 inner 429.2.bq.a.74.12 yes 416
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
429.2.bq.a.29.12 416 1.1 even 1 trivial
429.2.bq.a.29.41 yes 416 3.2 odd 2 inner
429.2.bq.a.74.12 yes 416 429.74 even 30 inner
429.2.bq.a.74.41 yes 416 143.74 odd 30 inner
429.2.bq.a.107.12 yes 416 11.8 odd 10 inner
429.2.bq.a.107.41 yes 416 33.8 even 10 inner
429.2.bq.a.425.12 yes 416 39.35 odd 6 inner
429.2.bq.a.425.41 yes 416 13.9 even 3 inner