Properties

Label 322.2.o.a.171.1
Level $322$
Weight $2$
Character 322.171
Analytic conductor $2.571$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [322,2,Mod(5,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([55, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.o (of order \(66\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 171.1
Character \(\chi\) \(=\) 322.171
Dual form 322.2.o.a.145.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.327068 - 0.945001i) q^{2} +(-1.30938 - 2.53985i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-3.20359 + 0.305905i) q^{5} +(-2.82842 + 0.406665i) q^{6} +(1.11039 - 2.40147i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-2.99619 + 4.20756i) q^{9} +O(q^{10})\) \(q+(0.327068 - 0.945001i) q^{2} +(-1.30938 - 2.53985i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-3.20359 + 0.305905i) q^{5} +(-2.82842 + 0.406665i) q^{6} +(1.11039 - 2.40147i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-2.99619 + 4.20756i) q^{9} +(-0.758710 + 3.12744i) q^{10} +(2.68416 - 0.928998i) q^{11} +(-0.540786 + 2.80587i) q^{12} +(1.18643 + 4.04060i) q^{13} +(-1.90622 - 1.83476i) q^{14} +(4.97168 + 7.73609i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-4.32112 - 1.72992i) q^{17} +(2.99619 + 4.20756i) q^{18} +(0.162721 - 0.0651438i) q^{19} +(2.70729 + 1.73987i) q^{20} +(-7.55329 + 0.324229i) q^{21} -2.84038i q^{22} +(-2.62927 - 4.01085i) q^{23} +(2.47467 + 1.42875i) q^{24} +(5.25974 - 1.01373i) q^{25} +(4.20641 + 0.200376i) q^{26} +(6.12448 + 0.880567i) q^{27} +(-2.35731 + 1.20129i) q^{28} +(-0.251271 - 1.74763i) q^{29} +(8.93669 - 2.16802i) q^{30} +(-6.78123 + 0.323030i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(-5.87412 - 5.60096i) q^{33} +(-3.04807 + 3.51767i) q^{34} +(-2.82259 + 8.03298i) q^{35} +(4.95610 - 1.45524i) q^{36} +(3.86063 + 2.74914i) q^{37} +(-0.00834001 - 0.175078i) q^{38} +(8.70904 - 8.30405i) q^{39} +(2.52964 - 1.98933i) q^{40} +(-8.31437 - 3.79705i) q^{41} +(-2.16404 + 7.24391i) q^{42} +(-2.64800 + 4.12037i) q^{43} +(-2.68416 - 0.928998i) q^{44} +(8.31143 - 14.3958i) q^{45} +(-4.65021 + 1.17284i) q^{46} +(9.60091 - 5.54309i) q^{47} +(2.15956 - 1.87127i) q^{48} +(-4.53409 - 5.33311i) q^{49} +(0.762316 - 5.30202i) q^{50} +(1.26428 + 13.2401i) q^{51} +(1.56514 - 3.90953i) q^{52} +(-0.101877 - 0.106846i) q^{53} +(2.83526 - 5.49963i) q^{54} +(-8.31477 + 3.79723i) q^{55} +(0.364215 + 2.62056i) q^{56} +(-0.378521 - 0.327990i) q^{57} +(-1.73369 - 0.334142i) q^{58} +(-9.51925 - 2.30934i) q^{59} +(0.874126 - 9.15426i) q^{60} +(1.66939 + 0.860629i) q^{61} +(-1.91266 + 6.51392i) q^{62} +(6.77739 + 11.8673i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-5.03686 - 12.5815i) q^{65} +(-7.21415 + 3.71915i) q^{66} +(-1.23383 - 6.40172i) q^{67} +(2.32727 + 4.03095i) q^{68} +(-6.74424 + 11.9297i) q^{69} +(6.66799 + 5.29468i) q^{70} +(-6.91234 - 7.97726i) q^{71} +(0.245777 - 5.15949i) q^{72} +(9.23558 - 11.7440i) q^{73} +(3.86063 - 2.74914i) q^{74} +(-9.46176 - 12.0316i) q^{75} +(-0.168177 - 0.0493812i) q^{76} +(0.749499 - 7.47748i) q^{77} +(-4.99889 - 10.9460i) q^{78} +(-3.04096 + 3.18927i) q^{79} +(-1.05256 - 3.04116i) q^{80} +(-0.714540 - 2.06453i) q^{81} +(-6.30758 + 6.61520i) q^{82} +(7.25578 + 15.8879i) q^{83} +(6.13771 + 4.41427i) q^{84} +(14.3723 + 4.22008i) q^{85} +(3.02768 + 3.85000i) q^{86} +(-4.10970 + 2.92651i) q^{87} +(-1.75581 + 2.23269i) q^{88} +(0.0507858 - 1.06612i) q^{89} +(-10.8857 - 12.5627i) q^{90} +(11.0208 + 1.63746i) q^{91} +(-0.412596 + 4.77805i) q^{92} +(9.69969 + 16.8003i) q^{93} +(-2.09807 - 10.8858i) q^{94} +(-0.501364 + 0.258471i) q^{95} +(-1.06203 - 2.65282i) q^{96} +(5.91201 - 12.9455i) q^{97} +(-6.52275 + 2.54043i) q^{98} +(-4.13345 + 14.0772i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 8 q^{2} + 6 q^{3} + 8 q^{4} - 11 q^{7} + 16 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 8 q^{2} + 6 q^{3} + 8 q^{4} - 11 q^{7} + 16 q^{8} - 32 q^{9} + 27 q^{12} + 11 q^{14} + 8 q^{16} - 66 q^{17} + 32 q^{18} - 66 q^{21} - 30 q^{23} - 6 q^{24} + 42 q^{25} + 6 q^{26} - 22 q^{28} + 16 q^{29} - 22 q^{30} - 12 q^{31} - 8 q^{32} - 99 q^{35} + 20 q^{36} + 22 q^{37} + 33 q^{38} - 20 q^{39} - 22 q^{42} + 22 q^{43} + 8 q^{46} + 138 q^{47} - 15 q^{49} - 4 q^{50} + 55 q^{51} - 60 q^{52} - 22 q^{53} - 18 q^{54} - 11 q^{56} - 44 q^{57} - 14 q^{58} - 36 q^{59} + 11 q^{63} - 16 q^{64} - 77 q^{65} - 76 q^{70} - 80 q^{71} - 12 q^{72} + 108 q^{73} + 22 q^{74} - 85 q^{77} + 70 q^{78} - 44 q^{79} - 2 q^{81} - 21 q^{82} - 33 q^{84} - 58 q^{85} + 44 q^{86} - 186 q^{87} - 11 q^{88} - 198 q^{89} + 16 q^{92} + 114 q^{93} + 6 q^{94} + 6 q^{95} + 6 q^{96} + 33 q^{98} + 132 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.327068 0.945001i 0.231272 0.668216i
\(3\) −1.30938 2.53985i −0.755974 1.46638i −0.880439 0.474160i \(-0.842752\pi\)
0.124465 0.992224i \(-0.460279\pi\)
\(4\) −0.786053 0.618159i −0.393027 0.309079i
\(5\) −3.20359 + 0.305905i −1.43269 + 0.136805i −0.782349 0.622840i \(-0.785979\pi\)
−0.650338 + 0.759645i \(0.725373\pi\)
\(6\) −2.82842 + 0.406665i −1.15470 + 0.166020i
\(7\) 1.11039 2.40147i 0.419686 0.907669i
\(8\) −0.841254 + 0.540641i −0.297428 + 0.191145i
\(9\) −2.99619 + 4.20756i −0.998730 + 1.40252i
\(10\) −0.758710 + 3.12744i −0.239925 + 0.988984i
\(11\) 2.68416 0.928998i 0.809306 0.280103i 0.109087 0.994032i \(-0.465207\pi\)
0.700218 + 0.713929i \(0.253086\pi\)
\(12\) −0.540786 + 2.80587i −0.156112 + 0.809984i
\(13\) 1.18643 + 4.04060i 0.329056 + 1.12066i 0.943409 + 0.331630i \(0.107599\pi\)
−0.614354 + 0.789031i \(0.710583\pi\)
\(14\) −1.90622 1.83476i −0.509458 0.490360i
\(15\) 4.97168 + 7.73609i 1.28368 + 1.99745i
\(16\) 0.235759 + 0.971812i 0.0589397 + 0.242953i
\(17\) −4.32112 1.72992i −1.04803 0.419567i −0.217217 0.976123i \(-0.569698\pi\)
−0.830810 + 0.556557i \(0.812122\pi\)
\(18\) 2.99619 + 4.20756i 0.706208 + 0.991731i
\(19\) 0.162721 0.0651438i 0.0373309 0.0149450i −0.352922 0.935653i \(-0.614812\pi\)
0.390253 + 0.920708i \(0.372388\pi\)
\(20\) 2.70729 + 1.73987i 0.605368 + 0.389046i
\(21\) −7.55329 + 0.324229i −1.64826 + 0.0707526i
\(22\) 2.84038i 0.605572i
\(23\) −2.62927 4.01085i −0.548241 0.836320i
\(24\) 2.47467 + 1.42875i 0.505140 + 0.291643i
\(25\) 5.25974 1.01373i 1.05195 0.202746i
\(26\) 4.20641 + 0.200376i 0.824945 + 0.0392970i
\(27\) 6.12448 + 0.880567i 1.17866 + 0.169465i
\(28\) −2.35731 + 1.20129i −0.445490 + 0.227022i
\(29\) −0.251271 1.74763i −0.0466598 0.324526i −0.999761 0.0218735i \(-0.993037\pi\)
0.953101 0.302653i \(-0.0978722\pi\)
\(30\) 8.93669 2.16802i 1.63161 0.395824i
\(31\) −6.78123 + 0.323030i −1.21794 + 0.0580179i −0.646689 0.762754i \(-0.723847\pi\)
−0.571256 + 0.820772i \(0.693544\pi\)
\(32\) 0.995472 + 0.0950560i 0.175976 + 0.0168037i
\(33\) −5.87412 5.60096i −1.02255 0.975002i
\(34\) −3.04807 + 3.51767i −0.522740 + 0.603275i
\(35\) −2.82259 + 8.03298i −0.477106 + 1.35782i
\(36\) 4.95610 1.45524i 0.826017 0.242541i
\(37\) 3.86063 + 2.74914i 0.634684 + 0.451957i 0.851570 0.524240i \(-0.175651\pi\)
−0.216886 + 0.976197i \(0.569590\pi\)
\(38\) −0.00834001 0.175078i −0.00135293 0.0284015i
\(39\) 8.70904 8.30405i 1.39456 1.32971i
\(40\) 2.52964 1.98933i 0.399972 0.314541i
\(41\) −8.31437 3.79705i −1.29849 0.592999i −0.358283 0.933613i \(-0.616638\pi\)
−0.940203 + 0.340614i \(0.889365\pi\)
\(42\) −2.16404 + 7.24391i −0.333919 + 1.11776i
\(43\) −2.64800 + 4.12037i −0.403816 + 0.628350i −0.982294 0.187348i \(-0.940011\pi\)
0.578477 + 0.815698i \(0.303647\pi\)
\(44\) −2.68416 0.928998i −0.404653 0.140052i
\(45\) 8.31143 14.3958i 1.23900 2.14600i
\(46\) −4.65021 + 1.17284i −0.685636 + 0.172926i
\(47\) 9.60091 5.54309i 1.40044 0.808543i 0.406000 0.913873i \(-0.366923\pi\)
0.994437 + 0.105330i \(0.0335900\pi\)
\(48\) 2.15956 1.87127i 0.311705 0.270094i
\(49\) −4.53409 5.33311i −0.647727 0.761873i
\(50\) 0.762316 5.30202i 0.107808 0.749819i
\(51\) 1.26428 + 13.2401i 0.177035 + 1.85399i
\(52\) 1.56514 3.90953i 0.217046 0.542154i
\(53\) −0.101877 0.106846i −0.0139939 0.0146764i 0.716700 0.697382i \(-0.245652\pi\)
−0.730694 + 0.682705i \(0.760803\pi\)
\(54\) 2.83526 5.49963i 0.385830 0.748405i
\(55\) −8.31477 + 3.79723i −1.12116 + 0.512018i
\(56\) 0.364215 + 2.62056i 0.0486703 + 0.350187i
\(57\) −0.378521 0.327990i −0.0501363 0.0434433i
\(58\) −1.73369 0.334142i −0.227645 0.0438750i
\(59\) −9.51925 2.30934i −1.23930 0.300651i −0.438034 0.898958i \(-0.644325\pi\)
−0.801267 + 0.598307i \(0.795840\pi\)
\(60\) 0.874126 9.15426i 0.112849 1.18181i
\(61\) 1.66939 + 0.860629i 0.213743 + 0.110192i 0.561774 0.827291i \(-0.310119\pi\)
−0.348031 + 0.937483i \(0.613149\pi\)
\(62\) −1.91266 + 6.51392i −0.242908 + 0.827269i
\(63\) 6.77739 + 11.8673i 0.853871 + 1.49513i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) −5.03686 12.5815i −0.624746 1.56054i
\(66\) −7.21415 + 3.71915i −0.888001 + 0.457796i
\(67\) −1.23383 6.40172i −0.150736 0.782095i −0.976071 0.217451i \(-0.930226\pi\)
0.825335 0.564644i \(-0.190986\pi\)
\(68\) 2.32727 + 4.03095i 0.282223 + 0.488824i
\(69\) −6.74424 + 11.9297i −0.811911 + 1.43617i
\(70\) 6.66799 + 5.29468i 0.796977 + 0.632836i
\(71\) −6.91234 7.97726i −0.820343 0.946727i 0.178967 0.983855i \(-0.442724\pi\)
−0.999311 + 0.0371282i \(0.988179\pi\)
\(72\) 0.245777 5.15949i 0.0289650 0.608051i
\(73\) 9.23558 11.7440i 1.08094 1.37453i 0.158967 0.987284i \(-0.449184\pi\)
0.921976 0.387247i \(-0.126574\pi\)
\(74\) 3.86063 2.74914i 0.448789 0.319582i
\(75\) −9.46176 12.0316i −1.09255 1.38929i
\(76\) −0.168177 0.0493812i −0.0192912 0.00566441i
\(77\) 0.749499 7.47748i 0.0854133 0.852138i
\(78\) −4.99889 10.9460i −0.566012 1.23939i
\(79\) −3.04096 + 3.18927i −0.342135 + 0.358821i −0.872211 0.489129i \(-0.837315\pi\)
0.530077 + 0.847950i \(0.322163\pi\)
\(80\) −1.05256 3.04116i −0.117679 0.340012i
\(81\) −0.714540 2.06453i −0.0793934 0.229392i
\(82\) −6.30758 + 6.61520i −0.696555 + 0.730526i
\(83\) 7.25578 + 15.8879i 0.796426 + 1.74393i 0.657266 + 0.753659i \(0.271713\pi\)
0.139160 + 0.990270i \(0.455560\pi\)
\(84\) 6.13771 + 4.41427i 0.669679 + 0.481637i
\(85\) 14.3723 + 4.22008i 1.55889 + 0.457732i
\(86\) 3.02768 + 3.85000i 0.326483 + 0.415156i
\(87\) −4.10970 + 2.92651i −0.440606 + 0.313754i
\(88\) −1.75581 + 2.23269i −0.187170 + 0.238006i
\(89\) 0.0507858 1.06612i 0.00538328 0.113009i −0.994576 0.104010i \(-0.966833\pi\)
0.999960 0.00899879i \(-0.00286444\pi\)
\(90\) −10.8857 12.5627i −1.14745 1.32423i
\(91\) 11.0208 + 1.63746i 1.15529 + 0.171652i
\(92\) −0.412596 + 4.77805i −0.0430162 + 0.498146i
\(93\) 9.69969 + 16.8003i 1.00581 + 1.74212i
\(94\) −2.09807 10.8858i −0.216400 1.12279i
\(95\) −0.501364 + 0.258471i −0.0514389 + 0.0265186i
\(96\) −1.06203 2.65282i −0.108393 0.270752i
\(97\) 5.91201 12.9455i 0.600274 1.31442i −0.328757 0.944414i \(-0.606630\pi\)
0.929031 0.370002i \(-0.120643\pi\)
\(98\) −6.52275 + 2.54043i −0.658897 + 0.256622i
\(99\) −4.13345 + 14.0772i −0.415427 + 1.41481i
\(100\) −4.76109 2.45451i −0.476109 0.245451i
\(101\) 0.402676 4.21702i 0.0400678 0.419609i −0.953078 0.302725i \(-0.902104\pi\)
0.993146 0.116884i \(-0.0372904\pi\)
\(102\) 12.9255 + 3.13568i 1.27981 + 0.310479i
\(103\) 16.4164 + 3.16400i 1.61755 + 0.311758i 0.916098 0.400954i \(-0.131321\pi\)
0.701457 + 0.712712i \(0.252533\pi\)
\(104\) −3.18260 2.75774i −0.312080 0.270418i
\(105\) 24.0984 3.34929i 2.35177 0.326857i
\(106\) −0.134290 + 0.0613282i −0.0130434 + 0.00595672i
\(107\) 7.42143 14.3956i 0.717457 1.39167i −0.194300 0.980942i \(-0.562243\pi\)
0.911757 0.410730i \(-0.134726\pi\)
\(108\) −4.26983 4.47807i −0.410865 0.430903i
\(109\) 0.837458 2.09187i 0.0802139 0.200365i −0.882840 0.469674i \(-0.844371\pi\)
0.963054 + 0.269310i \(0.0867955\pi\)
\(110\) 0.868888 + 9.09941i 0.0828453 + 0.867595i
\(111\) 1.92737 13.4051i 0.182937 1.27236i
\(112\) 2.59556 + 0.512918i 0.245257 + 0.0484662i
\(113\) −12.6109 + 10.9274i −1.18633 + 1.02796i −0.187376 + 0.982288i \(0.559998\pi\)
−0.998956 + 0.0456745i \(0.985456\pi\)
\(114\) −0.433753 + 0.250427i −0.0406247 + 0.0234547i
\(115\) 9.65004 + 12.0448i 0.899871 + 1.12318i
\(116\) −0.882799 + 1.52905i −0.0819658 + 0.141969i
\(117\) −20.5558 7.11444i −1.90039 0.657730i
\(118\) −5.29577 + 8.24038i −0.487515 + 0.758589i
\(119\) −8.95245 + 8.45616i −0.820670 + 0.775175i
\(120\) −8.36489 3.82012i −0.763606 0.348727i
\(121\) −2.30489 + 1.81258i −0.209535 + 0.164780i
\(122\) 1.35930 1.29609i 0.123065 0.117342i
\(123\) 1.24278 + 26.0891i 0.112057 + 2.35237i
\(124\) 5.53009 + 3.93796i 0.496617 + 0.353639i
\(125\) −1.10093 + 0.323263i −0.0984705 + 0.0289136i
\(126\) 13.4312 2.52324i 1.19655 0.224788i
\(127\) 5.58476 6.44516i 0.495567 0.571915i −0.451777 0.892131i \(-0.649210\pi\)
0.947345 + 0.320215i \(0.103755\pi\)
\(128\) −0.723734 0.690079i −0.0639697 0.0609949i
\(129\) 13.9324 + 1.33038i 1.22668 + 0.117133i
\(130\) −13.5369 + 0.644842i −1.18726 + 0.0565564i
\(131\) −15.2273 + 3.69410i −1.33041 + 0.322755i −0.837078 0.547083i \(-0.815738\pi\)
−0.493336 + 0.869839i \(0.664223\pi\)
\(132\) 1.15509 + 8.03379i 0.100537 + 0.699252i
\(133\) 0.0242428 0.463105i 0.00210212 0.0401563i
\(134\) −6.45318 0.927827i −0.557470 0.0801520i
\(135\) −19.8897 0.947461i −1.71183 0.0815445i
\(136\) 4.57042 0.880877i 0.391911 0.0755346i
\(137\) −2.54811 1.47115i −0.217700 0.125689i 0.387185 0.922002i \(-0.373447\pi\)
−0.604885 + 0.796313i \(0.706781\pi\)
\(138\) 9.06776 + 10.2751i 0.771899 + 0.874678i
\(139\) 12.9204i 1.09589i −0.836514 0.547946i \(-0.815410\pi\)
0.836514 0.547946i \(-0.184590\pi\)
\(140\) 7.18437 4.56954i 0.607190 0.386196i
\(141\) −26.6499 17.1269i −2.24433 1.44234i
\(142\) −9.79932 + 3.92306i −0.822341 + 0.329216i
\(143\) 6.93828 + 9.74344i 0.580208 + 0.814788i
\(144\) −4.79533 1.91976i −0.399611 0.159980i
\(145\) 1.33958 + 5.52181i 0.111246 + 0.458561i
\(146\) −8.07742 12.5687i −0.668492 1.04019i
\(147\) −7.60844 + 18.4990i −0.627534 + 1.52577i
\(148\) −1.33525 4.54746i −0.109757 0.373799i
\(149\) −1.23868 + 6.42688i −0.101477 + 0.526511i 0.895243 + 0.445578i \(0.147002\pi\)
−0.996720 + 0.0809323i \(0.974210\pi\)
\(150\) −14.4645 + 5.00622i −1.18102 + 0.408756i
\(151\) −1.14968 + 4.73903i −0.0935593 + 0.385657i −0.999268 0.0382428i \(-0.987824\pi\)
0.905709 + 0.423900i \(0.139339\pi\)
\(152\) −0.101671 + 0.142776i −0.00824657 + 0.0115807i
\(153\) 20.2256 12.9982i 1.63515 1.05084i
\(154\) −6.82109 3.15392i −0.549659 0.254150i
\(155\) 21.6254 3.10927i 1.73700 0.249742i
\(156\) −11.9790 + 1.14385i −0.959087 + 0.0915817i
\(157\) −6.20820 4.88218i −0.495469 0.389641i 0.338922 0.940814i \(-0.389938\pi\)
−0.834391 + 0.551174i \(0.814180\pi\)
\(158\) 2.01926 + 3.91682i 0.160644 + 0.311605i
\(159\) −0.137976 + 0.398655i −0.0109422 + 0.0316154i
\(160\) −3.21816 −0.254418
\(161\) −12.5514 + 1.86052i −0.989192 + 0.146629i
\(162\) −2.18469 −0.171645
\(163\) 2.86627 8.28155i 0.224504 0.648661i −0.775349 0.631533i \(-0.782426\pi\)
0.999853 0.0171289i \(-0.00545256\pi\)
\(164\) 4.18836 + 8.12428i 0.327056 + 0.634400i
\(165\) 20.5316 + 16.1462i 1.59838 + 1.25698i
\(166\) 17.3873 1.66028i 1.34951 0.128863i
\(167\) 15.5086 2.22979i 1.20009 0.172547i 0.486861 0.873479i \(-0.338142\pi\)
0.713227 + 0.700933i \(0.247233\pi\)
\(168\) 6.17894 4.35638i 0.476716 0.336102i
\(169\) −3.98254 + 2.55943i −0.306350 + 0.196879i
\(170\) 8.68870 12.2016i 0.666393 0.935817i
\(171\) −0.213448 + 0.879843i −0.0163227 + 0.0672833i
\(172\) 4.62851 1.60194i 0.352921 0.122147i
\(173\) −1.09005 + 5.65570i −0.0828748 + 0.429995i 0.916665 + 0.399657i \(0.130871\pi\)
−0.999540 + 0.0303385i \(0.990341\pi\)
\(174\) 1.42140 + 4.84084i 0.107756 + 0.366983i
\(175\) 3.40590 13.7567i 0.257462 1.03991i
\(176\) 1.53563 + 2.38948i 0.115752 + 0.180114i
\(177\) 6.59896 + 27.2013i 0.496008 + 2.04457i
\(178\) −0.990879 0.396688i −0.0742695 0.0297330i
\(179\) −4.22347 5.93104i −0.315677 0.443307i 0.626000 0.779823i \(-0.284691\pi\)
−0.941678 + 0.336516i \(0.890751\pi\)
\(180\) −15.4321 + 6.17810i −1.15024 + 0.460488i
\(181\) −0.423998 0.272487i −0.0315155 0.0202538i 0.524788 0.851233i \(-0.324145\pi\)
−0.556304 + 0.830979i \(0.687781\pi\)
\(182\) 5.15194 9.87907i 0.381887 0.732285i
\(183\) 5.36689i 0.396732i
\(184\) 4.38031 + 1.95265i 0.322921 + 0.143951i
\(185\) −13.2088 7.62613i −0.971134 0.560684i
\(186\) 19.0488 3.67136i 1.39673 0.269197i
\(187\) −13.2057 0.629065i −0.965696 0.0460018i
\(188\) −10.9733 1.57773i −0.800313 0.115068i
\(189\) 8.91519 13.7300i 0.648484 0.998708i
\(190\) 0.0802754 + 0.558327i 0.00582379 + 0.0405053i
\(191\) 15.6006 3.78467i 1.12882 0.273849i 0.372489 0.928037i \(-0.378505\pi\)
0.756332 + 0.654188i \(0.226989\pi\)
\(192\) −2.85427 + 0.135966i −0.205989 + 0.00981247i
\(193\) −11.2712 1.07627i −0.811320 0.0774717i −0.318855 0.947804i \(-0.603298\pi\)
−0.492465 + 0.870332i \(0.663904\pi\)
\(194\) −10.2999 9.82091i −0.739488 0.705100i
\(195\) −25.3599 + 29.2669i −1.81606 + 2.09584i
\(196\) 0.267324 + 6.99489i 0.0190946 + 0.499635i
\(197\) 4.93969 1.45042i 0.351938 0.103338i −0.100985 0.994888i \(-0.532199\pi\)
0.452923 + 0.891550i \(0.350381\pi\)
\(198\) 11.9511 + 8.51032i 0.849326 + 0.604802i
\(199\) −0.212591 4.46284i −0.0150702 0.316362i −0.993798 0.111200i \(-0.964531\pi\)
0.978728 0.205163i \(-0.0657723\pi\)
\(200\) −3.87671 + 3.69644i −0.274125 + 0.261378i
\(201\) −14.6439 + 11.5161i −1.03290 + 0.812280i
\(202\) −3.85338 1.75978i −0.271123 0.123818i
\(203\) −4.47588 1.33712i −0.314145 0.0938475i
\(204\) 7.19072 11.1890i 0.503451 0.783385i
\(205\) 27.7973 + 9.62075i 1.94145 + 0.671943i
\(206\) 8.35926 14.4787i 0.582417 1.00878i
\(207\) 24.7537 + 0.954452i 1.72050 + 0.0663390i
\(208\) −3.64699 + 2.10559i −0.252873 + 0.145996i
\(209\) 0.376253 0.326025i 0.0260259 0.0225516i
\(210\) 4.71675 23.8685i 0.325487 1.64708i
\(211\) −2.59866 + 18.0741i −0.178899 + 1.24427i 0.680416 + 0.732826i \(0.261799\pi\)
−0.859316 + 0.511446i \(0.829110\pi\)
\(212\) 0.0140332 + 0.146963i 0.000963807 + 0.0100934i
\(213\) −11.2102 + 28.0016i −0.768107 + 1.91864i
\(214\) −11.1765 11.7216i −0.764011 0.801272i
\(215\) 7.22265 14.0100i 0.492581 0.955474i
\(216\) −5.62831 + 2.57036i −0.382958 + 0.174891i
\(217\) −6.75404 + 16.6436i −0.458494 + 1.12984i
\(218\) −1.70291 1.47558i −0.115336 0.0999390i
\(219\) −41.9209 8.07960i −2.83275 0.545969i
\(220\) 8.88314 + 2.15503i 0.598901 + 0.145292i
\(221\) 1.86320 19.5124i 0.125333 1.31254i
\(222\) −12.0375 6.20575i −0.807902 0.416503i
\(223\) −3.84471 + 13.0939i −0.257461 + 0.876831i 0.724744 + 0.689018i \(0.241958\pi\)
−0.982205 + 0.187813i \(0.939860\pi\)
\(224\) 1.33363 2.28504i 0.0891070 0.152676i
\(225\) −11.4938 + 25.1680i −0.766256 + 1.67787i
\(226\) 6.20178 + 15.4913i 0.412536 + 1.03047i
\(227\) −17.1747 + 8.85415i −1.13992 + 0.587671i −0.921575 0.388201i \(-0.873097\pi\)
−0.218347 + 0.975871i \(0.570066\pi\)
\(228\) 0.0947874 + 0.491803i 0.00627745 + 0.0325705i
\(229\) 11.1418 + 19.2981i 0.736269 + 1.27525i 0.954164 + 0.299283i \(0.0967474\pi\)
−0.217896 + 0.975972i \(0.569919\pi\)
\(230\) 14.5386 5.17983i 0.958645 0.341548i
\(231\) −19.9731 + 7.88728i −1.31413 + 0.518945i
\(232\) 1.15622 + 1.33435i 0.0759096 + 0.0876044i
\(233\) 0.491105 10.3096i 0.0321733 0.675401i −0.923963 0.382481i \(-0.875070\pi\)
0.956137 0.292921i \(-0.0946272\pi\)
\(234\) −13.4463 + 17.0984i −0.879012 + 1.11775i
\(235\) −29.0617 + 20.6947i −1.89578 + 1.34998i
\(236\) 6.05509 + 7.69968i 0.394153 + 0.501206i
\(237\) 12.0821 + 3.54761i 0.784814 + 0.230442i
\(238\) 5.06302 + 11.2258i 0.328187 + 0.727662i
\(239\) −10.3944 22.7607i −0.672361 1.47226i −0.870539 0.492099i \(-0.836230\pi\)
0.198179 0.980166i \(-0.436497\pi\)
\(240\) −6.34590 + 6.65539i −0.409626 + 0.429603i
\(241\) −2.50346 7.23326i −0.161262 0.465935i 0.835204 0.549941i \(-0.185350\pi\)
−0.996465 + 0.0840058i \(0.973229\pi\)
\(242\) 0.959037 + 2.77096i 0.0616493 + 0.178124i
\(243\) 8.50151 8.91613i 0.545372 0.571970i
\(244\) −0.780222 1.70845i −0.0499486 0.109372i
\(245\) 16.1568 + 15.6981i 1.03222 + 1.00291i
\(246\) 25.0607 + 7.35847i 1.59781 + 0.469159i
\(247\) 0.456277 + 0.580204i 0.0290322 + 0.0369175i
\(248\) 5.53009 3.93796i 0.351161 0.250061i
\(249\) 30.8524 39.2320i 1.95519 2.48623i
\(250\) −0.0545961 + 1.14611i −0.00345296 + 0.0724865i
\(251\) 13.1778 + 15.2080i 0.831774 + 0.959918i 0.999665 0.0258877i \(-0.00824123\pi\)
−0.167891 + 0.985806i \(0.553696\pi\)
\(252\) 2.00847 13.5178i 0.126522 0.851541i
\(253\) −10.7835 8.32319i −0.677951 0.523275i
\(254\) −4.26408 7.38561i −0.267552 0.463414i
\(255\) −8.10046 42.0292i −0.507271 2.63197i
\(256\) −0.888835 + 0.458227i −0.0555522 + 0.0286392i
\(257\) −10.3755 25.9167i −0.647205 1.61664i −0.780206 0.625523i \(-0.784886\pi\)
0.133001 0.991116i \(-0.457539\pi\)
\(258\) 5.81404 12.7310i 0.361967 0.792596i
\(259\) 10.8888 6.21857i 0.676595 0.386403i
\(260\) −3.81811 + 13.0033i −0.236789 + 0.806430i
\(261\) 8.10610 + 4.17898i 0.501755 + 0.258673i
\(262\) −1.48943 + 15.5980i −0.0920173 + 0.963649i
\(263\) 4.04288 + 0.980791i 0.249294 + 0.0604782i 0.358459 0.933546i \(-0.383302\pi\)
−0.109164 + 0.994024i \(0.534818\pi\)
\(264\) 7.96973 + 1.53604i 0.490503 + 0.0945367i
\(265\) 0.359057 + 0.311125i 0.0220567 + 0.0191122i
\(266\) −0.429706 0.174376i −0.0263469 0.0106917i
\(267\) −2.77430 + 1.26698i −0.169784 + 0.0775379i
\(268\) −2.98743 + 5.79480i −0.182486 + 0.353974i
\(269\) 8.11052 + 8.50606i 0.494507 + 0.518624i 0.922937 0.384951i \(-0.125782\pi\)
−0.428430 + 0.903575i \(0.640933\pi\)
\(270\) −7.40062 + 18.4859i −0.450388 + 1.12501i
\(271\) −0.831399 8.70680i −0.0505039 0.528900i −0.984955 0.172810i \(-0.944715\pi\)
0.934451 0.356091i \(-0.115891\pi\)
\(272\) 0.662410 4.60716i 0.0401645 0.279350i
\(273\) −10.2715 30.1352i −0.621660 1.82386i
\(274\) −2.22365 + 1.92680i −0.134335 + 0.116402i
\(275\) 13.1763 7.60732i 0.794558 0.458738i
\(276\) 12.6758 5.20837i 0.762993 0.313507i
\(277\) 7.91451 13.7083i 0.475537 0.823654i −0.524070 0.851675i \(-0.675587\pi\)
0.999607 + 0.0280207i \(0.00892044\pi\)
\(278\) −12.2098 4.22584i −0.732293 0.253449i
\(279\) 18.9587 29.5003i 1.13503 1.76614i
\(280\) −1.96844 8.28378i −0.117637 0.495051i
\(281\) 23.9070 + 10.9180i 1.42617 + 0.651312i 0.970998 0.239090i \(-0.0768489\pi\)
0.455176 + 0.890401i \(0.349576\pi\)
\(282\) −24.9012 + 19.5825i −1.48285 + 1.16612i
\(283\) 9.98450 9.52020i 0.593517 0.565917i −0.332641 0.943054i \(-0.607940\pi\)
0.926158 + 0.377136i \(0.123091\pi\)
\(284\) 0.502248 + 10.5435i 0.0298029 + 0.625640i
\(285\) 1.31296 + 0.934953i 0.0777729 + 0.0553818i
\(286\) 11.4769 3.36991i 0.678640 0.199267i
\(287\) −18.3506 + 15.7505i −1.08320 + 0.929723i
\(288\) −3.38258 + 3.90370i −0.199320 + 0.230028i
\(289\) 3.37602 + 3.21903i 0.198590 + 0.189355i
\(290\) 5.65625 + 0.540106i 0.332146 + 0.0317161i
\(291\) −40.6207 + 1.93500i −2.38123 + 0.113432i
\(292\) −14.5193 + 3.52235i −0.849678 + 0.206130i
\(293\) −1.33218 9.26552i −0.0778268 0.541297i −0.991014 0.133757i \(-0.957296\pi\)
0.913187 0.407540i \(-0.133613\pi\)
\(294\) 14.9931 + 13.2404i 0.874415 + 0.772197i
\(295\) 31.2022 + 4.48620i 1.81666 + 0.261196i
\(296\) −4.73407 0.225512i −0.275162 0.0131076i
\(297\) 17.2571 3.32604i 1.00136 0.192997i
\(298\) 5.66827 + 3.27258i 0.328354 + 0.189575i
\(299\) 13.0868 15.3824i 0.756830 0.889588i
\(300\) 15.3063i 0.883712i
\(301\) 6.95463 + 10.9343i 0.400858 + 0.630242i
\(302\) 4.10237 + 2.63643i 0.236065 + 0.151710i
\(303\) −11.2379 + 4.49896i −0.645598 + 0.258458i
\(304\) 0.101671 + 0.142776i 0.00583121 + 0.00818878i
\(305\) −5.61130 2.24643i −0.321302 0.128630i
\(306\) −5.66818 23.3645i −0.324028 1.33566i
\(307\) −6.61212 10.2887i −0.377374 0.587205i 0.599669 0.800248i \(-0.295299\pi\)
−0.977043 + 0.213043i \(0.931663\pi\)
\(308\) −5.21142 + 5.41438i −0.296948 + 0.308513i
\(309\) −13.4593 45.8381i −0.765671 2.60764i
\(310\) 4.13473 21.4530i 0.234837 1.21845i
\(311\) 28.0300 9.70129i 1.58944 0.550109i 0.617749 0.786376i \(-0.288045\pi\)
0.971688 + 0.236266i \(0.0759238\pi\)
\(312\) −2.83700 + 11.6943i −0.160613 + 0.662058i
\(313\) −16.5396 + 23.2266i −0.934874 + 1.31285i 0.0148936 + 0.999889i \(0.495259\pi\)
−0.949767 + 0.312957i \(0.898680\pi\)
\(314\) −6.64417 + 4.26995i −0.374952 + 0.240967i
\(315\) −25.3422 35.9446i −1.42787 2.02525i
\(316\) 4.36183 0.627137i 0.245372 0.0352792i
\(317\) −3.72879 + 0.356056i −0.209430 + 0.0199981i −0.199243 0.979950i \(-0.563848\pi\)
−0.0101861 + 0.999948i \(0.503242\pi\)
\(318\) 0.331602 + 0.260775i 0.0185953 + 0.0146235i
\(319\) −2.29799 4.45749i −0.128663 0.249571i
\(320\) −1.05256 + 3.04116i −0.0588397 + 0.170006i
\(321\) −46.2801 −2.58311
\(322\) −2.34698 + 12.4696i −0.130792 + 0.694905i
\(323\) −0.815833 −0.0453942
\(324\) −0.714540 + 2.06453i −0.0396967 + 0.114696i
\(325\) 10.3364 + 20.0498i 0.573360 + 1.11216i
\(326\) −6.88861 5.41726i −0.381525 0.300034i
\(327\) −6.40959 + 0.612042i −0.354451 + 0.0338460i
\(328\) 9.04733 1.30081i 0.499555 0.0718252i
\(329\) −2.65083 29.2112i −0.146145 1.61047i
\(330\) 21.9734 14.1215i 1.20960 0.777362i
\(331\) 16.3785 23.0003i 0.900242 1.26421i −0.0636647 0.997971i \(-0.520279\pi\)
0.963906 0.266241i \(-0.0857818\pi\)
\(332\) 4.11785 16.9740i 0.225996 0.931569i
\(333\) −23.1344 + 8.00688i −1.26776 + 0.438774i
\(334\) 2.96520 15.3849i 0.162248 0.841824i
\(335\) 5.91100 + 20.1310i 0.322953 + 1.09988i
\(336\) −2.09585 7.26394i −0.114338 0.396280i
\(337\) −6.06217 9.43292i −0.330227 0.513844i 0.635947 0.771733i \(-0.280610\pi\)
−0.966175 + 0.257889i \(0.916973\pi\)
\(338\) 1.11610 + 4.60061i 0.0607077 + 0.250240i
\(339\) 44.2665 + 17.7216i 2.40422 + 0.962506i
\(340\) −8.68870 12.2016i −0.471211 0.661723i
\(341\) −17.9018 + 7.16682i −0.969439 + 0.388105i
\(342\) 0.761641 + 0.489477i 0.0411848 + 0.0264679i
\(343\) −17.8419 + 4.96665i −0.963370 + 0.268174i
\(344\) 4.89789i 0.264077i
\(345\) 17.9564 40.2809i 0.966740 2.16865i
\(346\) 4.98812 + 2.87989i 0.268163 + 0.154824i
\(347\) 11.7226 2.25934i 0.629300 0.121288i 0.135378 0.990794i \(-0.456775\pi\)
0.493922 + 0.869506i \(0.335563\pi\)
\(348\) 5.03949 + 0.240061i 0.270145 + 0.0128686i
\(349\) 6.11908 + 0.879790i 0.327547 + 0.0470941i 0.304127 0.952632i \(-0.401635\pi\)
0.0234200 + 0.999726i \(0.492544\pi\)
\(350\) −11.8862 7.71796i −0.635342 0.412543i
\(351\) 3.70823 + 25.7913i 0.197931 + 1.37664i
\(352\) 2.76032 0.669646i 0.147125 0.0356922i
\(353\) −9.33284 + 0.444578i −0.496737 + 0.0236625i −0.294456 0.955665i \(-0.595138\pi\)
−0.202281 + 0.979328i \(0.564835\pi\)
\(354\) 27.8636 + 2.66065i 1.48093 + 0.141412i
\(355\) 24.5846 + 23.4413i 1.30481 + 1.24414i
\(356\) −0.698955 + 0.806637i −0.0370445 + 0.0427517i
\(357\) 33.1996 + 11.6655i 1.75711 + 0.617406i
\(358\) −6.98620 + 2.05133i −0.369232 + 0.108416i
\(359\) −16.4398 11.7068i −0.867661 0.617859i 0.0571159 0.998368i \(-0.481810\pi\)
−0.924777 + 0.380509i \(0.875749\pi\)
\(360\) 0.790948 + 16.6040i 0.0416866 + 0.875110i
\(361\) −13.7287 + 13.0903i −0.722564 + 0.688963i
\(362\) −0.396176 + 0.311556i −0.0208226 + 0.0163750i
\(363\) 7.62167 + 3.48070i 0.400034 + 0.182689i
\(364\) −7.65069 8.09971i −0.401005 0.424540i
\(365\) −25.9944 + 40.4481i −1.36061 + 2.11715i
\(366\) −5.07172 1.75534i −0.265103 0.0917530i
\(367\) 4.42387 7.66237i 0.230924 0.399972i −0.727156 0.686472i \(-0.759158\pi\)
0.958080 + 0.286500i \(0.0924918\pi\)
\(368\) 3.27792 3.50075i 0.170873 0.182489i
\(369\) 40.8877 23.6065i 2.12853 1.22891i
\(370\) −11.5269 + 9.98811i −0.599255 + 0.519257i
\(371\) −0.369709 + 0.126015i −0.0191944 + 0.00654236i
\(372\) 2.76082 19.2019i 0.143142 0.995573i
\(373\) −2.02887 21.2473i −0.105051 1.10014i −0.882216 0.470845i \(-0.843949\pi\)
0.777165 0.629296i \(-0.216657\pi\)
\(374\) −4.91363 + 12.2736i −0.254078 + 0.634655i
\(375\) 2.26259 + 2.37293i 0.116839 + 0.122538i
\(376\) −5.07998 + 9.85379i −0.261980 + 0.508170i
\(377\) 6.76335 3.08872i 0.348330 0.159077i
\(378\) −10.0590 12.9155i −0.517377 0.664301i
\(379\) 3.46828 + 3.00528i 0.178153 + 0.154371i 0.739373 0.673296i \(-0.235122\pi\)
−0.561219 + 0.827667i \(0.689668\pi\)
\(380\) 0.553875 + 0.106751i 0.0284132 + 0.00547620i
\(381\) −23.6823 5.74528i −1.21328 0.294339i
\(382\) 1.52595 15.9804i 0.0780742 0.817630i
\(383\) 26.9300 + 13.8834i 1.37606 + 0.709407i 0.978127 0.208008i \(-0.0666979\pi\)
0.397931 + 0.917415i \(0.369728\pi\)
\(384\) −0.805052 + 2.74176i −0.0410826 + 0.139915i
\(385\) −0.113683 + 24.1840i −0.00579382 + 1.23253i
\(386\) −4.70353 + 10.2993i −0.239403 + 0.524220i
\(387\) −9.40278 23.4870i −0.477970 1.19391i
\(388\) −12.6495 + 6.52129i −0.642183 + 0.331068i
\(389\) 1.77211 + 9.19458i 0.0898496 + 0.466184i 0.998786 + 0.0492501i \(0.0156831\pi\)
−0.908937 + 0.416934i \(0.863105\pi\)
\(390\) 19.3628 + 33.5374i 0.980474 + 1.69823i
\(391\) 4.42297 + 21.8798i 0.223679 + 1.10651i
\(392\) 6.69761 + 2.03518i 0.338281 + 0.102792i
\(393\) 29.3208 + 33.8381i 1.47904 + 1.70690i
\(394\) 0.244962 5.14239i 0.0123410 0.259070i
\(395\) 8.76637 11.1473i 0.441084 0.560884i
\(396\) 11.9511 8.51032i 0.600564 0.427660i
\(397\) 4.97019 + 6.32011i 0.249447 + 0.317197i 0.894610 0.446847i \(-0.147453\pi\)
−0.645164 + 0.764044i \(0.723211\pi\)
\(398\) −4.28692 1.25875i −0.214884 0.0630955i
\(399\) −1.20796 + 0.544809i −0.0604737 + 0.0272746i
\(400\) 2.22519 + 4.87248i 0.111259 + 0.243624i
\(401\) −5.22281 + 5.47752i −0.260815 + 0.273534i −0.841101 0.540878i \(-0.818092\pi\)
0.580287 + 0.814412i \(0.302941\pi\)
\(402\) 6.09315 + 17.6050i 0.303899 + 0.878058i
\(403\) −9.35067 27.0170i −0.465790 1.34581i
\(404\) −2.92331 + 3.06588i −0.145440 + 0.152533i
\(405\) 2.92064 + 6.39532i 0.145128 + 0.317786i
\(406\) −2.72750 + 3.79238i −0.135363 + 0.188213i
\(407\) 12.9165 + 3.79263i 0.640248 + 0.187994i
\(408\) −8.22174 10.4548i −0.407037 0.517589i
\(409\) −18.3237 + 13.0483i −0.906050 + 0.645195i −0.935101 0.354383i \(-0.884691\pi\)
0.0290503 + 0.999578i \(0.490752\pi\)
\(410\) 18.1832 23.1219i 0.898006 1.14191i
\(411\) −0.400052 + 8.39813i −0.0197331 + 0.414249i
\(412\) −10.9483 12.6350i −0.539384 0.622482i
\(413\) −16.1159 + 20.2959i −0.793009 + 0.998696i
\(414\) 8.99810 23.0801i 0.442232 1.13432i
\(415\) −28.1047 48.6788i −1.37961 2.38955i
\(416\) 0.796972 + 4.13508i 0.0390747 + 0.202739i
\(417\) −32.8159 + 16.9177i −1.60700 + 0.828466i
\(418\) −0.185033 0.462191i −0.00905028 0.0226065i
\(419\) −1.03861 + 2.27423i −0.0507393 + 0.111104i −0.933304 0.359088i \(-0.883088\pi\)
0.882564 + 0.470191i \(0.155815\pi\)
\(420\) −21.0130 12.2639i −1.02533 0.598419i
\(421\) 2.15083 7.32507i 0.104825 0.357002i −0.890330 0.455315i \(-0.849527\pi\)
0.995156 + 0.0983133i \(0.0313447\pi\)
\(422\) 16.2301 + 8.36719i 0.790068 + 0.407308i
\(423\) −5.44327 + 57.0046i −0.264661 + 2.77166i
\(424\) 0.143470 + 0.0348054i 0.00696751 + 0.00169030i
\(425\) −24.4817 4.71846i −1.18754 0.228879i
\(426\) 22.7951 + 19.7520i 1.10442 + 0.956989i
\(427\) 3.92044 3.05335i 0.189723 0.147762i
\(428\) −14.7324 + 6.72806i −0.712117 + 0.325213i
\(429\) 15.6620 30.3801i 0.756170 1.46677i
\(430\) −10.8772 11.4076i −0.524543 0.550125i
\(431\) −3.85461 + 9.62835i −0.185670 + 0.463781i −0.991775 0.127991i \(-0.959147\pi\)
0.806105 + 0.591772i \(0.201571\pi\)
\(432\) 0.588155 + 6.15944i 0.0282976 + 0.296346i
\(433\) 1.50244 10.4497i 0.0722027 0.502181i −0.921343 0.388750i \(-0.872907\pi\)
0.993546 0.113431i \(-0.0361840\pi\)
\(434\) 13.5192 + 11.8262i 0.648941 + 0.567674i
\(435\) 12.2706 10.6325i 0.588328 0.509789i
\(436\) −1.95139 + 1.12664i −0.0934548 + 0.0539562i
\(437\) −0.689121 0.481371i −0.0329651 0.0230271i
\(438\) −21.3462 + 36.9727i −1.01996 + 1.76663i
\(439\) 4.15176 + 1.43694i 0.198153 + 0.0685813i 0.424342 0.905502i \(-0.360505\pi\)
−0.226189 + 0.974083i \(0.572627\pi\)
\(440\) 4.94189 7.68973i 0.235595 0.366594i
\(441\) 36.0243 3.09844i 1.71545 0.147545i
\(442\) −17.8298 8.14260i −0.848077 0.387304i
\(443\) −5.40757 + 4.25256i −0.256922 + 0.202045i −0.738309 0.674463i \(-0.764375\pi\)
0.481388 + 0.876508i \(0.340133\pi\)
\(444\) −9.80151 + 9.34572i −0.465159 + 0.443528i
\(445\) 0.163437 + 3.43096i 0.00774764 + 0.162643i
\(446\) 11.1162 + 7.91584i 0.526370 + 0.374826i
\(447\) 17.9452 5.26920i 0.848780 0.249224i
\(448\) −1.72318 2.00765i −0.0814126 0.0948524i
\(449\) −6.59263 + 7.60830i −0.311125 + 0.359058i −0.889679 0.456586i \(-0.849072\pi\)
0.578554 + 0.815644i \(0.303617\pi\)
\(450\) 20.0245 + 19.0933i 0.943965 + 0.900069i
\(451\) −25.8446 2.46786i −1.21697 0.116207i
\(452\) 16.6677 0.793980i 0.783982 0.0373457i
\(453\) 13.5418 3.28521i 0.636250 0.154352i
\(454\) 2.74990 + 19.1260i 0.129059 + 0.897626i
\(455\) −35.8069 1.87443i −1.67865 0.0878746i
\(456\) 0.495757 + 0.0712790i 0.0232159 + 0.00333795i
\(457\) −3.19571 0.152230i −0.149489 0.00712103i −0.0272959 0.999627i \(-0.508690\pi\)
−0.122193 + 0.992506i \(0.538993\pi\)
\(458\) 21.8808 4.21719i 1.02242 0.197056i
\(459\) −24.9413 14.3999i −1.16416 0.672129i
\(460\) −0.139843 15.4331i −0.00652022 0.719573i
\(461\) 18.3491i 0.854602i 0.904110 + 0.427301i \(0.140535\pi\)
−0.904110 + 0.427301i \(0.859465\pi\)
\(462\) 0.920934 + 21.4542i 0.0428457 + 0.998142i
\(463\) −5.88986 3.78518i −0.273725 0.175912i 0.396576 0.918002i \(-0.370198\pi\)
−0.670301 + 0.742090i \(0.733835\pi\)
\(464\) 1.63912 0.656207i 0.0760945 0.0304636i
\(465\) −36.2131 50.8542i −1.67934 2.35831i
\(466\) −9.58191 3.83602i −0.443874 0.177700i
\(467\) 4.75059 + 19.5822i 0.219831 + 0.906156i 0.969647 + 0.244510i \(0.0786270\pi\)
−0.749816 + 0.661647i \(0.769858\pi\)
\(468\) 11.7601 + 18.2991i 0.543611 + 0.845876i
\(469\) −16.7435 4.14538i −0.773145 0.191416i
\(470\) 10.0514 + 34.2319i 0.463636 + 1.57900i
\(471\) −4.27110 + 22.1606i −0.196802 + 1.02111i
\(472\) 9.25663 3.20375i 0.426071 0.147465i
\(473\) −3.27985 + 13.5197i −0.150808 + 0.621638i
\(474\) 7.30415 10.2572i 0.335491 0.471131i
\(475\) 0.789835 0.507596i 0.0362401 0.0232901i
\(476\) 12.2644 1.11295i 0.562136 0.0510121i
\(477\) 0.754803 0.108524i 0.0345601 0.00496899i
\(478\) −24.9085 + 2.37848i −1.13929 + 0.108789i
\(479\) 0.0503626 + 0.0396056i 0.00230112 + 0.00180962i 0.619309 0.785147i \(-0.287413\pi\)
−0.617008 + 0.786957i \(0.711655\pi\)
\(480\) 4.21381 + 8.17365i 0.192333 + 0.373074i
\(481\) −6.52783 + 18.8609i −0.297644 + 0.859985i
\(482\) −7.65424 −0.348641
\(483\) 21.1601 + 29.4426i 0.962818 + 1.33969i
\(484\) 2.93223 0.133283
\(485\) −14.9795 + 43.2805i −0.680186 + 1.96527i
\(486\) −5.64518 10.9501i −0.256070 0.496707i
\(487\) 19.3958 + 15.2530i 0.878907 + 0.691180i 0.951984 0.306146i \(-0.0990397\pi\)
−0.0730776 + 0.997326i \(0.523282\pi\)
\(488\) −1.86967 + 0.178532i −0.0846360 + 0.00808176i
\(489\) −24.7870 + 3.56383i −1.12091 + 0.161162i
\(490\) 20.1191 10.1338i 0.908886 0.457799i
\(491\) −3.30252 + 2.12240i −0.149041 + 0.0957827i −0.613036 0.790055i \(-0.710052\pi\)
0.463995 + 0.885838i \(0.346416\pi\)
\(492\) 15.1503 21.2756i 0.683028 0.959179i
\(493\) −1.93748 + 7.98639i −0.0872596 + 0.359689i
\(494\) 0.697527 0.241416i 0.0313832 0.0108618i
\(495\) 8.93556 46.3621i 0.401623 2.08382i
\(496\) −1.91266 6.51392i −0.0858810 0.292484i
\(497\) −26.8325 + 7.74191i −1.20360 + 0.347272i
\(498\) −26.9835 41.9871i −1.20916 1.88149i
\(499\) 1.97063 + 8.12305i 0.0882175 + 0.363637i 0.998760 0.0497772i \(-0.0158511\pi\)
−0.910543 + 0.413415i \(0.864336\pi\)
\(500\) 1.06522 + 0.426450i 0.0476381 + 0.0190714i
\(501\) −25.9700 36.4698i −1.16025 1.62935i
\(502\) 18.6816 7.47897i 0.833799 0.333803i
\(503\) 9.99750 + 6.42500i 0.445766 + 0.286477i 0.744204 0.667953i \(-0.232829\pi\)
−0.298438 + 0.954429i \(0.596465\pi\)
\(504\) −12.1174 6.31924i −0.539753 0.281481i
\(505\) 13.6328i 0.606650i
\(506\) −11.3924 + 7.46814i −0.506452 + 0.331999i
\(507\) 11.7152 + 6.76380i 0.520292 + 0.300391i
\(508\) −8.37405 + 1.61397i −0.371538 + 0.0716082i
\(509\) 35.2366 + 1.67853i 1.56184 + 0.0743995i 0.810587 0.585618i \(-0.199148\pi\)
0.751250 + 0.660018i \(0.229451\pi\)
\(510\) −42.3670 6.09146i −1.87604 0.269734i
\(511\) −17.9478 35.2193i −0.793962 1.55801i
\(512\) 0.142315 + 0.989821i 0.00628949 + 0.0437443i
\(513\) 1.05395 0.255685i 0.0465329 0.0112888i
\(514\) −27.8848 + 1.32832i −1.22994 + 0.0585895i
\(515\) −53.5592 5.11428i −2.36010 0.225362i
\(516\) −10.1292 9.65817i −0.445913 0.425177i
\(517\) 20.6209 23.7978i 0.906906 1.04663i
\(518\) −2.31519 12.3238i −0.101724 0.541476i
\(519\) 15.7919 4.63693i 0.693189 0.203539i
\(520\) 11.0393 + 7.86108i 0.484107 + 0.344731i
\(521\) −0.520248 10.9214i −0.0227925 0.478473i −0.981191 0.193040i \(-0.938165\pi\)
0.958398 0.285434i \(-0.0921377\pi\)
\(522\) 6.60039 6.29346i 0.288891 0.275457i
\(523\) 6.53235 5.13710i 0.285640 0.224630i −0.465050 0.885284i \(-0.653964\pi\)
0.750690 + 0.660655i \(0.229721\pi\)
\(524\) 14.2530 + 6.50913i 0.622645 + 0.284353i
\(525\) −39.3997 + 9.36238i −1.71954 + 0.408608i
\(526\) 2.24914 3.49974i 0.0980673 0.152596i
\(527\) 29.8614 + 10.3351i 1.30078 + 0.450205i
\(528\) 4.05820 7.02902i 0.176611 0.305899i
\(529\) −9.17386 + 21.0912i −0.398863 + 0.917010i
\(530\) 0.411449 0.237550i 0.0178722 0.0103185i
\(531\) 38.2382 33.1336i 1.65939 1.43787i
\(532\) −0.305329 + 0.349039i −0.0132377 + 0.0151328i
\(533\) 5.47795 38.1000i 0.237276 1.65029i
\(534\) 0.289913 + 3.03610i 0.0125457 + 0.131385i
\(535\) −19.3715 + 48.3877i −0.837504 + 2.09198i
\(536\) 4.49900 + 4.71841i 0.194327 + 0.203804i
\(537\) −9.53381 + 18.4930i −0.411414 + 0.798032i
\(538\) 10.6909 4.88238i 0.460919 0.210494i
\(539\) −17.1247 10.1028i −0.737612 0.435158i
\(540\) 15.0487 + 13.0397i 0.647591 + 0.561141i
\(541\) −8.44163 1.62699i −0.362934 0.0699498i 0.00452446 0.999990i \(-0.498560\pi\)
−0.367458 + 0.930040i \(0.619772\pi\)
\(542\) −8.49986 2.06204i −0.365100 0.0885723i
\(543\) −0.136900 + 1.43368i −0.00587494 + 0.0615251i
\(544\) −4.13712 2.13283i −0.177378 0.0914445i
\(545\) −2.04295 + 6.95766i −0.0875106 + 0.298034i
\(546\) −31.8372 0.149659i −1.36251 0.00640480i
\(547\) 1.02419 2.24267i 0.0437913 0.0958895i −0.886472 0.462782i \(-0.846851\pi\)
0.930263 + 0.366893i \(0.119578\pi\)
\(548\) 1.09354 + 2.73154i 0.0467139 + 0.116686i
\(549\) −8.62295 + 4.44544i −0.368018 + 0.189727i
\(550\) −2.87939 14.9397i −0.122778 0.637030i
\(551\) −0.154734 0.268008i −0.00659190 0.0114175i
\(552\) −0.776072 13.6821i −0.0330318 0.582350i
\(553\) 4.28228 + 10.8441i 0.182101 + 0.461137i
\(554\) −10.3658 11.9628i −0.440401 0.508250i
\(555\) −2.07378 + 43.5341i −0.0880272 + 1.84792i
\(556\) −7.98685 + 10.1561i −0.338718 + 0.430715i
\(557\) 3.97941 2.83372i 0.168613 0.120069i −0.492635 0.870236i \(-0.663966\pi\)
0.661248 + 0.750167i \(0.270027\pi\)
\(558\) −21.6770 27.5646i −0.917661 1.16690i
\(559\) −19.7904 5.81099i −0.837046 0.245779i
\(560\) −8.47199 0.849183i −0.358007 0.0358845i
\(561\) 15.6936 + 34.3642i 0.662584 + 1.45086i
\(562\) 18.1367 19.0212i 0.765051 0.802363i
\(563\) −4.01825 11.6100i −0.169349 0.489301i 0.828108 0.560568i \(-0.189417\pi\)
−0.997457 + 0.0712665i \(0.977296\pi\)
\(564\) 10.3611 + 29.9365i 0.436282 + 1.26055i
\(565\) 37.0573 38.8646i 1.55901 1.63505i
\(566\) −5.73099 12.5491i −0.240891 0.527479i
\(567\) −5.75131 0.576478i −0.241532 0.0242098i
\(568\) 10.1279 + 2.97381i 0.424956 + 0.124778i
\(569\) 14.9668 + 19.0318i 0.627441 + 0.797856i 0.991021 0.133707i \(-0.0426880\pi\)
−0.363580 + 0.931563i \(0.618446\pi\)
\(570\) 1.31296 0.934953i 0.0549937 0.0391609i
\(571\) −19.2744 + 24.5095i −0.806611 + 1.02569i 0.192404 + 0.981316i \(0.438371\pi\)
−0.999015 + 0.0443731i \(0.985871\pi\)
\(572\) 0.569145 11.9478i 0.0237971 0.499564i
\(573\) −30.0397 34.6677i −1.25493 1.44826i
\(574\) 8.88233 + 22.4929i 0.370741 + 0.938834i
\(575\) −17.8952 18.4307i −0.746283 0.768612i
\(576\) 2.58267 + 4.47331i 0.107611 + 0.186388i
\(577\) 7.77526 + 40.3419i 0.323689 + 1.67946i 0.670805 + 0.741634i \(0.265949\pi\)
−0.347117 + 0.937822i \(0.612839\pi\)
\(578\) 4.14618 2.13750i 0.172458 0.0889084i
\(579\) 12.0248 + 30.0365i 0.499733 + 1.24827i
\(580\) 2.36038 5.16851i 0.0980094 0.214611i
\(581\) 46.2111 + 0.217227i 1.91716 + 0.00901208i
\(582\) −11.4572 + 39.0195i −0.474915 + 1.61741i
\(583\) −0.372715 0.192148i −0.0154363 0.00795795i
\(584\) −1.42018 + 14.8728i −0.0587675 + 0.615441i
\(585\) 68.0287 + 16.5036i 2.81264 + 0.682339i
\(586\) −9.19163 1.77154i −0.379703 0.0731817i
\(587\) 9.69532 + 8.40104i 0.400169 + 0.346748i 0.831578 0.555408i \(-0.187438\pi\)
−0.431409 + 0.902156i \(0.641983\pi\)
\(588\) 17.4160 9.83797i 0.718222 0.405711i
\(589\) −1.08241 + 0.494319i −0.0445998 + 0.0203681i
\(590\) 14.4447 28.0188i 0.594678 1.15352i
\(591\) −10.1518 10.6469i −0.417590 0.437955i
\(592\) −1.76147 + 4.39994i −0.0723960 + 0.180837i
\(593\) −1.82917 19.1559i −0.0751149 0.786639i −0.952032 0.305998i \(-0.901010\pi\)
0.876917 0.480641i \(-0.159596\pi\)
\(594\) 2.50115 17.3959i 0.102623 0.713761i
\(595\) 26.0932 29.8286i 1.06972 1.22286i
\(596\) 4.94650 4.28617i 0.202617 0.175568i
\(597\) −11.0566 + 6.38352i −0.452516 + 0.261260i
\(598\) −10.2561 17.3981i −0.419404 0.711463i
\(599\) −14.5256 + 25.1591i −0.593501 + 1.02797i 0.400256 + 0.916404i \(0.368921\pi\)
−0.993757 + 0.111570i \(0.964412\pi\)
\(600\) 14.4645 + 5.00622i 0.590511 + 0.204378i
\(601\) 2.87044 4.46649i 0.117088 0.182192i −0.777763 0.628558i \(-0.783646\pi\)
0.894851 + 0.446366i \(0.147282\pi\)
\(602\) 12.6075 2.99588i 0.513845 0.122103i
\(603\) 30.6324 + 13.9893i 1.24745 + 0.569690i
\(604\) 3.83318 3.01445i 0.155970 0.122656i
\(605\) 6.82942 6.51184i 0.277655 0.264744i
\(606\) 0.575977 + 12.0912i 0.0233975 + 0.491173i
\(607\) 16.6763 + 11.8751i 0.676869 + 0.481996i 0.866058 0.499944i \(-0.166646\pi\)
−0.189188 + 0.981941i \(0.560586\pi\)
\(608\) 0.168177 0.0493812i 0.00682048 0.00200267i
\(609\) 2.46455 + 13.1189i 0.0998687 + 0.531603i
\(610\) −3.95815 + 4.56795i −0.160261 + 0.184951i
\(611\) 33.7882 + 32.2170i 1.36692 + 1.30336i
\(612\) −23.9334 2.28536i −0.967450 0.0923803i
\(613\) −22.6010 + 1.07662i −0.912848 + 0.0434843i −0.498748 0.866747i \(-0.666207\pi\)
−0.414100 + 0.910231i \(0.635904\pi\)
\(614\) −11.8854 + 2.88337i −0.479656 + 0.116363i
\(615\) −11.9621 83.1984i −0.482359 3.35488i
\(616\) 3.41211 + 6.69566i 0.137478 + 0.269776i
\(617\) −1.88890 0.271583i −0.0760442 0.0109335i 0.104188 0.994558i \(-0.466776\pi\)
−0.180232 + 0.983624i \(0.557685\pi\)
\(618\) −47.7191 2.27314i −1.91954 0.0914392i
\(619\) 29.4109 5.66849i 1.18213 0.227836i 0.439938 0.898028i \(-0.355001\pi\)
0.742187 + 0.670192i \(0.233788\pi\)
\(620\) −18.9208 10.9239i −0.759876 0.438715i
\(621\) −12.5711 26.8796i −0.504461 1.07864i
\(622\) 29.6614i 1.18931i
\(623\) −2.50387 1.30577i −0.100316 0.0523146i
\(624\) 10.1232 + 6.50579i 0.405253 + 0.260440i
\(625\) −21.4362 + 8.58175i −0.857447 + 0.343270i
\(626\) 16.5396 + 23.2266i 0.661055 + 0.928323i
\(627\) −1.32071 0.528734i −0.0527442 0.0211156i
\(628\) 1.86201 + 7.67531i 0.0743023 + 0.306278i
\(629\) −11.9265 18.5580i −0.475540 0.739955i
\(630\) −42.2563 + 12.1921i −1.68353 + 0.485745i
\(631\) −13.6413 46.4579i −0.543051 1.84946i −0.527456 0.849582i \(-0.676854\pi\)
−0.0155943 0.999878i \(-0.504964\pi\)
\(632\) 0.833971 4.32705i 0.0331736 0.172121i
\(633\) 49.3081 17.0657i 1.95982 0.678301i
\(634\) −0.883094 + 3.64016i −0.0350721 + 0.144569i
\(635\) −15.9197 + 22.3560i −0.631752 + 0.887172i
\(636\) 0.354889 0.228073i 0.0140723 0.00904369i
\(637\) 16.1696 24.6478i 0.640663 0.976581i
\(638\) −4.96393 + 0.713705i −0.196524 + 0.0282559i
\(639\) 54.2755 5.18268i 2.14710 0.205024i
\(640\) 2.52964 + 1.98933i 0.0999929 + 0.0786353i
\(641\) 9.38271 + 18.1999i 0.370595 + 0.718854i 0.998219 0.0596631i \(-0.0190026\pi\)
−0.627624 + 0.778517i \(0.715972\pi\)
\(642\) −15.1368 + 43.7348i −0.597400 + 1.72607i
\(643\) 12.1202 0.477972 0.238986 0.971023i \(-0.423185\pi\)
0.238986 + 0.971023i \(0.423185\pi\)
\(644\) 11.0162 + 6.29632i 0.434099 + 0.248110i
\(645\) −45.0405 −1.77347
\(646\) −0.266833 + 0.770963i −0.0104984 + 0.0303331i
\(647\) 9.43465 + 18.3007i 0.370914 + 0.719473i 0.998241 0.0592826i \(-0.0188813\pi\)
−0.627327 + 0.778756i \(0.715851\pi\)
\(648\) 1.71728 + 1.35048i 0.0674611 + 0.0530520i
\(649\) −27.6966 + 2.64470i −1.08719 + 0.103814i
\(650\) 22.3278 3.21025i 0.875768 0.125916i
\(651\) 51.1159 4.63861i 2.00339 0.181801i
\(652\) −7.37236 + 4.73793i −0.288724 + 0.185552i
\(653\) 4.83371 6.78799i 0.189158 0.265635i −0.709096 0.705112i \(-0.750897\pi\)
0.898254 + 0.439477i \(0.144836\pi\)
\(654\) −1.51799 + 6.25725i −0.0593582 + 0.244678i
\(655\) 47.6519 16.4925i 1.86191 0.644415i
\(656\) 1.72983 8.97519i 0.0675384 0.350422i
\(657\) 21.7420 + 74.0465i 0.848236 + 2.88883i
\(658\) −28.4717 7.04903i −1.10994 0.274800i
\(659\) −1.89558 2.94957i −0.0738411 0.114899i 0.802369 0.596828i \(-0.203573\pi\)
−0.876210 + 0.481929i \(0.839936\pi\)
\(660\) −6.15800 25.3836i −0.239700 0.988056i
\(661\) −16.4789 6.59716i −0.640955 0.256600i 0.0283378 0.999598i \(-0.490979\pi\)
−0.669293 + 0.742999i \(0.733403\pi\)
\(662\) −16.3785 23.0003i −0.636567 0.893933i
\(663\) −51.9981 + 20.8169i −2.01944 + 0.808462i
\(664\) −14.6936 9.44302i −0.570223 0.366460i
\(665\) 0.0640025 + 1.49101i 0.00248191 + 0.0578190i
\(666\) 24.4808i 0.948611i
\(667\) −6.34881 + 5.60280i −0.245827 + 0.216941i
\(668\) −13.5689 7.83402i −0.524997 0.303107i
\(669\) 38.2907 7.37993i 1.48040 0.285325i
\(670\) 20.9571 + 0.998312i 0.809645 + 0.0385681i
\(671\) 5.28043 + 0.759212i 0.203849 + 0.0293090i
\(672\) −7.54991 0.395225i −0.291244 0.0152461i
\(673\) −2.46377 17.1359i −0.0949714 0.660541i −0.980582 0.196111i \(-0.937169\pi\)
0.885610 0.464429i \(-0.153740\pi\)
\(674\) −10.8969 + 2.64355i −0.419731 + 0.101826i
\(675\) 33.1058 1.57703i 1.27424 0.0606997i
\(676\) 4.71262 + 0.450001i 0.181255 + 0.0173077i
\(677\) −17.3324 16.5264i −0.666138 0.635162i 0.279590 0.960119i \(-0.409801\pi\)
−0.945729 + 0.324958i \(0.894650\pi\)
\(678\) 31.2251 36.0357i 1.19919 1.38394i
\(679\) −24.5236 28.5720i −0.941128 1.09649i
\(680\) −14.3723 + 4.22008i −0.551152 + 0.161833i
\(681\) 44.9765 + 32.0276i 1.72350 + 1.22730i
\(682\) 0.917528 + 19.2613i 0.0351340 + 0.737553i
\(683\) −5.68961 + 5.42504i −0.217707 + 0.207583i −0.791082 0.611710i \(-0.790482\pi\)
0.573375 + 0.819293i \(0.305634\pi\)
\(684\) 0.711664 0.559659i 0.0272112 0.0213991i
\(685\) 8.61313 + 3.93348i 0.329091 + 0.150291i
\(686\) −1.14201 + 18.4850i −0.0436022 + 0.705761i
\(687\) 34.4255 53.5671i 1.31341 2.04371i
\(688\) −4.62851 1.60194i −0.176460 0.0610735i
\(689\) 0.310851 0.538410i 0.0118425 0.0205118i
\(690\) −32.1926 30.1434i −1.22555 1.14754i
\(691\) 4.51459 2.60650i 0.171743 0.0991559i −0.411664 0.911335i \(-0.635052\pi\)
0.583407 + 0.812180i \(0.301719\pi\)
\(692\) 4.35296 3.77186i 0.165475 0.143385i
\(693\) 29.2163 + 25.5575i 1.10983 + 0.970849i
\(694\) 1.69900 11.8168i 0.0644930 0.448559i
\(695\) 3.95241 + 41.3916i 0.149924 + 1.57007i
\(696\) 1.87511 4.68381i 0.0710760 0.177539i
\(697\) 29.3589 + 30.7907i 1.11205 + 1.16628i
\(698\) 2.83276 5.49478i 0.107221 0.207981i
\(699\) −26.8278 + 12.2518i −1.01472 + 0.463407i
\(700\) −11.1811 + 8.70814i −0.422605 + 0.329137i
\(701\) 29.9800 + 25.9778i 1.13233 + 0.981168i 0.999950 0.0100313i \(-0.00319312\pi\)
0.132378 + 0.991199i \(0.457739\pi\)
\(702\) 25.5856 + 4.93123i 0.965668 + 0.186117i
\(703\) 0.807298 + 0.195848i 0.0304478 + 0.00738656i
\(704\) 0.269996 2.82752i 0.0101758 0.106566i
\(705\) 90.6145 + 46.7150i 3.41274 + 1.75939i
\(706\) −2.63235 + 8.96495i −0.0990697 + 0.337400i
\(707\) −9.67990 5.64953i −0.364050 0.212472i
\(708\) 11.6276 25.4609i 0.436992 0.956878i
\(709\) 8.22771 + 20.5518i 0.308998 + 0.771840i 0.998853 + 0.0478916i \(0.0152502\pi\)
−0.689855 + 0.723948i \(0.742326\pi\)
\(710\) 30.1929 15.5655i 1.13312 0.584163i
\(711\) −4.30774 22.3507i −0.161553 0.838216i
\(712\) 0.533667 + 0.924338i 0.0200000 + 0.0346410i
\(713\) 19.1253 + 26.3492i 0.716249 + 0.986784i
\(714\) 21.8825 27.5582i 0.818931 1.03134i
\(715\) −25.2079 29.0915i −0.942723 1.08796i
\(716\) −0.346451 + 7.27289i −0.0129475 + 0.271801i
\(717\) −44.1984 + 56.2028i −1.65062 + 2.09893i
\(718\) −16.4398 + 11.7068i −0.613529 + 0.436892i
\(719\) −12.2162 15.5342i −0.455589 0.579329i 0.502941 0.864321i \(-0.332251\pi\)
−0.958530 + 0.284992i \(0.908009\pi\)
\(720\) 15.9495 + 4.68320i 0.594404 + 0.174533i
\(721\) 25.8268 35.9102i 0.961839 1.33736i
\(722\) 7.88012 + 17.2551i 0.293268 + 0.642167i
\(723\) −15.0934 + 15.8295i −0.561330 + 0.588706i
\(724\) 0.164845 + 0.476287i 0.00612640 + 0.0177011i
\(725\) −3.09325 8.93735i −0.114880 0.331925i
\(726\) 5.78207 6.06406i 0.214593 0.225058i
\(727\) −20.3052 44.4621i −0.753077 1.64901i −0.760756 0.649038i \(-0.775171\pi\)
0.00767867 0.999971i \(-0.497556\pi\)
\(728\) −10.1565 + 4.58075i −0.376426 + 0.169774i
\(729\) −40.0660 11.7644i −1.48392 0.435720i
\(730\) 29.7216 + 37.7940i 1.10004 + 1.39882i
\(731\) 18.5702 13.2238i 0.686845 0.489100i
\(732\) −3.31759 + 4.21866i −0.122622 + 0.155926i
\(733\) 0.262209 5.50444i 0.00968490 0.203311i −0.988839 0.148990i \(-0.952398\pi\)
0.998524 0.0543207i \(-0.0172993\pi\)
\(734\) −5.79404 6.68667i −0.213862 0.246810i
\(735\) 18.7154 61.5906i 0.690326 2.27180i
\(736\) −2.23611 4.24262i −0.0824241 0.156385i
\(737\) −9.25899 16.0370i −0.341059 0.590732i
\(738\) −8.93513 46.3599i −0.328907 1.70653i
\(739\) 9.22833 4.75753i 0.339469 0.175009i −0.280059 0.959983i \(-0.590354\pi\)
0.619529 + 0.784974i \(0.287324\pi\)
\(740\) 5.66869 + 14.1597i 0.208385 + 0.520521i
\(741\) 0.876189 1.91859i 0.0321876 0.0704810i
\(742\) −0.00183607 + 0.390591i −6.74042e−5 + 0.0143391i
\(743\) −5.00015 + 17.0289i −0.183438 + 0.624731i 0.815505 + 0.578751i \(0.196460\pi\)
−0.998942 + 0.0459809i \(0.985359\pi\)
\(744\) −17.2429 8.88931i −0.632154 0.325898i
\(745\) 2.00220 20.9680i 0.0733549 0.768207i
\(746\) −20.7422 5.03202i −0.759428 0.184235i
\(747\) −88.5892 17.0742i −3.24131 0.624711i
\(748\) 9.99152 + 8.65770i 0.365326 + 0.316557i
\(749\) −26.3298 33.8070i −0.962071 1.23528i
\(750\) 2.98244 1.36204i 0.108903 0.0497345i
\(751\) 15.3329 29.7416i 0.559504 1.08529i −0.424213 0.905562i \(-0.639449\pi\)
0.983717 0.179724i \(-0.0575205\pi\)
\(752\) 7.65034 + 8.02345i 0.278979 + 0.292585i
\(753\) 21.3712 53.3827i 0.778809 1.94537i
\(754\) −0.706766 7.40159i −0.0257389 0.269550i
\(755\) 2.23339 15.5336i 0.0812815 0.565325i
\(756\) −15.4951 + 5.28148i −0.563552 + 0.192086i
\(757\) 13.8965 12.0414i 0.505077 0.437652i −0.364679 0.931133i \(-0.618821\pi\)
0.869756 + 0.493481i \(0.164276\pi\)
\(758\) 3.97435 2.29459i 0.144355 0.0833434i
\(759\) −7.01997 + 38.2867i −0.254809 + 1.38972i
\(760\) 0.282034 0.488498i 0.0102305 0.0177197i
\(761\) −37.8238 13.0910i −1.37111 0.474547i −0.460445 0.887688i \(-0.652310\pi\)
−0.910667 + 0.413141i \(0.864432\pi\)
\(762\) −13.1750 + 20.5007i −0.477281 + 0.742664i
\(763\) −4.09365 4.33391i −0.148200 0.156898i
\(764\) −14.6024 6.66871i −0.528298 0.241265i
\(765\) −60.8183 + 47.8281i −2.19889 + 1.72923i
\(766\) 21.9277 20.9081i 0.792281 0.755439i
\(767\) −1.96276 41.2033i −0.0708711 1.48777i
\(768\) 2.32765 + 1.65752i 0.0839920 + 0.0598104i
\(769\) 29.6490 8.70572i 1.06917 0.313936i 0.300631 0.953740i \(-0.402803\pi\)
0.768538 + 0.639804i \(0.220985\pi\)
\(770\) 22.8167 + 8.01725i 0.822258 + 0.288922i
\(771\) −52.2391 + 60.2871i −1.88134 + 2.17119i
\(772\) 8.19447 + 7.81341i 0.294925 + 0.281211i
\(773\) −8.58220 0.819501i −0.308680 0.0294754i −0.0604336 0.998172i \(-0.519248\pi\)
−0.248247 + 0.968697i \(0.579854\pi\)
\(774\) −25.2706 + 1.20379i −0.908333 + 0.0432692i
\(775\) −35.3401 + 8.57341i −1.26945 + 0.307966i
\(776\) 2.02536 + 14.0867i 0.0727063 + 0.505684i
\(777\) −30.0518 19.5134i −1.07810 0.700038i
\(778\) 9.26849 + 1.33261i 0.332291 + 0.0477763i
\(779\) −1.60028 0.0762308i −0.0573360 0.00273125i
\(780\) 38.0258 7.32887i 1.36154 0.262416i
\(781\) −25.9647 14.9907i −0.929090 0.536411i
\(782\) 22.1231 + 2.97647i 0.791119 + 0.106439i
\(783\) 10.9246i 0.390412i
\(784\) 4.11383 5.66361i 0.146922 0.202272i
\(785\) 21.3820 + 13.7414i 0.763156 + 0.490451i
\(786\) 41.5669 16.6409i 1.48264 0.593561i
\(787\) 0.806104 + 1.13201i 0.0287345 + 0.0403520i 0.828693 0.559703i \(-0.189085\pi\)
−0.799959 + 0.600055i \(0.795145\pi\)
\(788\) −4.77945 1.91340i −0.170261 0.0681621i
\(789\) −2.80262 11.5525i −0.0997757 0.411281i
\(790\) −7.66705 11.9302i −0.272781 0.424456i
\(791\) 12.2388 + 42.4182i 0.435163 + 1.50822i
\(792\) −4.13345 14.0772i −0.146876 0.500213i
\(793\) −1.49685 + 7.76640i −0.0531548 + 0.275793i
\(794\) 7.59810 2.62973i 0.269646 0.0933255i
\(795\) 0.320067 1.31933i 0.0113516 0.0467919i
\(796\) −2.59163 + 3.63944i −0.0918580 + 0.128997i
\(797\) −23.5004 + 15.1028i −0.832426 + 0.534968i −0.886048 0.463594i \(-0.846560\pi\)
0.0536219 + 0.998561i \(0.482923\pi\)
\(798\) 0.119760 + 1.31971i 0.00423946 + 0.0467174i
\(799\) −51.0758 + 7.34360i −1.80693 + 0.259798i
\(800\) 5.33229 0.509172i 0.188525 0.0180019i
\(801\) 4.33362 + 3.40800i 0.153121 + 0.120416i
\(802\) 3.46805 + 6.72708i 0.122461 + 0.237541i
\(803\) 13.8797 40.1026i 0.489803 1.41519i
\(804\) 18.6296 0.657016
\(805\) 39.6405 9.79988i 1.39714 0.345400i
\(806\) −28.5894 −1.00702
\(807\) 10.9844 31.7372i 0.386668 1.11720i
\(808\) 1.94114 + 3.76528i 0.0682890 + 0.132462i
\(809\) 39.4496 + 31.0235i 1.38697 + 1.09073i 0.984517 + 0.175290i \(0.0560863\pi\)
0.402457 + 0.915439i \(0.368156\pi\)
\(810\) 6.99883 0.668307i 0.245914 0.0234819i
\(811\) −32.9073 + 4.73136i −1.15553 + 0.166140i −0.693321 0.720629i \(-0.743853\pi\)
−0.462212 + 0.886770i \(0.652944\pi\)
\(812\) 2.69172 + 3.81785i 0.0944610 + 0.133980i
\(813\) −21.0254 + 13.5122i −0.737392 + 0.473893i
\(814\) 7.80862 10.9657i 0.273692 0.384347i
\(815\) −6.64898 + 27.4075i −0.232904 + 0.960042i
\(816\) −12.5689 + 4.35012i −0.439998 + 0.152285i
\(817\) −0.162470 + 0.842973i −0.00568410 + 0.0294919i
\(818\) 6.33752 + 21.5836i 0.221586 + 0.754653i
\(819\) −39.9100 + 41.4644i −1.39457 + 1.44888i
\(820\) −15.9030 24.7456i −0.555358 0.864154i
\(821\) −4.68879 19.3274i −0.163640 0.674532i −0.993230 0.116160i \(-0.962941\pi\)
0.829591 0.558372i \(-0.188574\pi\)
\(822\) 7.80539 + 3.12481i 0.272244 + 0.108990i
\(823\) 15.3460 + 21.5504i 0.534927 + 0.751199i 0.990276 0.139113i \(-0.0444252\pi\)
−0.455350 + 0.890313i \(0.650486\pi\)
\(824\) −15.5209 + 6.21364i −0.540697 + 0.216463i
\(825\) −36.5742 23.5048i −1.27335 0.818333i
\(826\) 13.9087 + 21.8676i 0.483944 + 0.760872i
\(827\) 26.7411i 0.929879i −0.885342 0.464939i \(-0.846076\pi\)
0.885342 0.464939i \(-0.153924\pi\)
\(828\) −18.8677 16.0520i −0.655698 0.557844i
\(829\) 36.2752 + 20.9435i 1.25989 + 0.727398i 0.973053 0.230581i \(-0.0740626\pi\)
0.286838 + 0.957979i \(0.407396\pi\)
\(830\) −55.1937 + 10.6377i −1.91580 + 0.369240i
\(831\) −45.1803 2.15220i −1.56729 0.0746591i
\(832\) 4.16832 + 0.599314i 0.144510 + 0.0207775i
\(833\) 10.3665 + 30.8886i 0.359179 + 1.07023i
\(834\) 5.25427 + 36.5443i 0.181941 + 1.26542i
\(835\) −49.0009 + 11.8875i −1.69575 + 0.411384i
\(836\) −0.497290 + 0.0236888i −0.0171991 + 0.000819295i
\(837\) −41.8159 3.99294i −1.44537 0.138016i
\(838\) 1.80946 + 1.72531i 0.0625066 + 0.0596000i
\(839\) −4.82490 + 5.56823i −0.166574 + 0.192237i −0.832899 0.553425i \(-0.813321\pi\)
0.666325 + 0.745661i \(0.267866\pi\)
\(840\) −18.4621 + 15.8462i −0.637004 + 0.546746i
\(841\) 24.8342 7.29199i 0.856353 0.251448i
\(842\) −6.21873 4.42833i −0.214311 0.152610i
\(843\) −3.57346 75.0161i −0.123076 2.58369i
\(844\) 13.2153 12.6008i 0.454891 0.433738i
\(845\) 11.9755 9.41762i 0.411969 0.323976i
\(846\) 52.0890 + 23.7883i 1.79086 + 0.817857i
\(847\) 1.79354 + 7.54777i 0.0616269 + 0.259345i
\(848\) 0.0798155 0.124195i 0.00274087 0.00426488i
\(849\) −37.2535 12.8935i −1.27854 0.442505i
\(850\) −12.4661 + 21.5919i −0.427584 + 0.740598i
\(851\) 0.875755 22.7127i 0.0300205 0.778580i
\(852\) 26.1212 15.0811i 0.894899 0.516670i
\(853\) −32.6456 + 28.2876i −1.11776 + 0.968549i −0.999701 0.0244575i \(-0.992214\pi\)
−0.118064 + 0.993006i \(0.537669\pi\)
\(854\) −1.60317 4.70347i −0.0548593 0.160949i
\(855\) 0.414649 2.88395i 0.0141807 0.0986289i
\(856\) 1.53953 + 16.1227i 0.0526200 + 0.551061i
\(857\) 6.53192 16.3159i 0.223126 0.557342i −0.773993 0.633194i \(-0.781743\pi\)
0.997119 + 0.0758520i \(0.0241677\pi\)
\(858\) −23.5867 24.7370i −0.805236 0.844507i
\(859\) 3.89140 7.54827i 0.132773 0.257544i −0.813071 0.582164i \(-0.802206\pi\)
0.945844 + 0.324620i \(0.105236\pi\)
\(860\) −14.3378 + 6.54785i −0.488915 + 0.223280i
\(861\) 64.0320 + 25.9844i 2.18220 + 0.885547i
\(862\) 7.83808 + 6.79173i 0.266966 + 0.231327i
\(863\) −23.9268 4.61150i −0.814476 0.156977i −0.235030 0.971988i \(-0.575519\pi\)
−0.579446 + 0.815011i \(0.696731\pi\)
\(864\) 6.01304 + 1.45875i 0.204568 + 0.0496276i
\(865\) 1.76195 18.4520i 0.0599081 0.627386i
\(866\) −9.38358 4.83757i −0.318867 0.164387i
\(867\) 3.75535 12.7895i 0.127538 0.434356i
\(868\) 15.5974 8.90768i 0.529411 0.302346i
\(869\) −5.19961 + 11.3856i −0.176385 + 0.386229i
\(870\) −6.03441 15.0732i −0.204586 0.511031i
\(871\) 24.4029 12.5806i 0.826862 0.426277i
\(872\) 0.426435 + 2.21256i 0.0144409 + 0.0749266i
\(873\) 36.7554 + 63.6623i 1.24398 + 2.15464i
\(874\) −0.680285 + 0.493779i −0.0230110 + 0.0167023i
\(875\) −0.446155 + 3.00280i −0.0150828 + 0.101513i
\(876\) 27.9576 + 32.2648i 0.944600 + 1.09013i
\(877\) −0.643241 + 13.5033i −0.0217207 + 0.455974i 0.961640 + 0.274313i \(0.0884504\pi\)
−0.983361 + 0.181661i \(0.941853\pi\)
\(878\) 2.71582 3.45344i 0.0916544 0.116548i
\(879\) −21.7887 + 15.5157i −0.734915 + 0.523330i
\(880\) −5.65047 7.18515i −0.190477 0.242212i
\(881\) 30.2002 + 8.86757i 1.01747 + 0.298756i 0.747606 0.664142i \(-0.231203\pi\)
0.269864 + 0.962899i \(0.413021\pi\)
\(882\) 8.85438 35.0564i 0.298143 1.18041i
\(883\) −10.5666 23.1377i −0.355595 0.778645i −0.999904 0.0138790i \(-0.995582\pi\)
0.644309 0.764766i \(-0.277145\pi\)
\(884\) −13.5263 + 14.1860i −0.454939 + 0.477127i
\(885\) −29.4614 85.1231i −0.990333 2.86138i
\(886\) 2.25003 + 6.50104i 0.0755913 + 0.218407i
\(887\) 20.6771 21.6855i 0.694269 0.728128i −0.278364 0.960476i \(-0.589792\pi\)
0.972633 + 0.232348i \(0.0746407\pi\)
\(888\) 5.62595 + 12.3191i 0.188795 + 0.413403i
\(889\) −9.27660 20.5682i −0.311127 0.689836i
\(890\) 3.29571 + 0.967709i 0.110473 + 0.0324377i
\(891\) −3.83589 4.87773i −0.128507 0.163410i
\(892\) 11.1162 7.91584i 0.372199 0.265042i
\(893\) 1.20118 1.52742i 0.0401958 0.0511132i
\(894\) 0.889916 18.6816i 0.0297633 0.624808i
\(895\) 15.3446 + 17.7086i 0.512914 + 0.591934i
\(896\) −2.46083 + 0.971770i −0.0822104 + 0.0324645i
\(897\) −56.2047 13.0970i −1.87662 0.437298i
\(898\) 5.03361 + 8.71847i 0.167974 + 0.290939i
\(899\) 2.26846 + 11.7699i 0.0756574 + 0.392548i
\(900\) 24.5926 12.6784i 0.819753 0.422612i
\(901\) 0.255390 + 0.637933i 0.00850827 + 0.0212526i
\(902\) −10.7851 + 23.6160i −0.359103 + 0.786327i
\(903\) 18.6652 31.9809i 0.621138 1.06426i
\(904\) 4.70116 16.0107i 0.156358 0.532507i
\(905\) 1.44167 + 0.743232i 0.0479227 + 0.0247059i
\(906\) 1.32457 13.8715i 0.0440058 0.460850i
\(907\) −1.94048 0.470757i −0.0644327 0.0156312i 0.203413 0.979093i \(-0.434797\pi\)
−0.267846 + 0.963462i \(0.586312\pi\)
\(908\) 18.9735 + 3.65684i 0.629656 + 0.121356i
\(909\) 16.5368 + 14.3293i 0.548493 + 0.475272i
\(910\) −13.4826 + 33.2244i −0.446944 + 1.10138i
\(911\) 13.2396 6.04635i 0.438649 0.200324i −0.183834 0.982957i \(-0.558851\pi\)
0.622484 + 0.782633i \(0.286124\pi\)
\(912\) 0.229505 0.445177i 0.00759967 0.0147413i
\(913\) 34.2356 + 35.9052i 1.13303 + 1.18829i
\(914\) −1.18907 + 2.97016i −0.0393310 + 0.0982440i
\(915\) 1.64176 + 17.1933i 0.0542750 + 0.568393i
\(916\) 3.17128 22.0567i 0.104782 0.728775i
\(917\) −8.03690 + 40.6697i −0.265402 + 1.34303i
\(918\) −21.7654 + 18.8598i −0.718365 + 0.622467i
\(919\) 27.6413 15.9587i 0.911803 0.526429i 0.0307919 0.999526i \(-0.490197\pi\)
0.881011 + 0.473096i \(0.156864\pi\)
\(920\) −14.6300 4.91552i −0.482338 0.162060i
\(921\) −17.4739 + 30.2656i −0.575784 + 0.997287i
\(922\) 17.3399 + 6.00139i 0.571059 + 0.197645i
\(923\) 24.0319 37.3944i 0.791021 1.23085i
\(924\) 20.5755 + 6.14671i 0.676884 + 0.202212i
\(925\) 23.0928 + 10.5461i 0.759288 + 0.346755i
\(926\) −5.50339 + 4.32791i −0.180853 + 0.142224i
\(927\) −62.4993 + 59.5930i −2.05275 + 1.95729i
\(928\) −0.0840106 1.76360i −0.00275778 0.0578930i
\(929\) 8.95866 + 6.37944i 0.293924 + 0.209302i 0.717501 0.696558i \(-0.245286\pi\)
−0.423576 + 0.905860i \(0.639225\pi\)
\(930\) −59.9014 + 17.5886i −1.96424 + 0.576754i
\(931\) −1.08521 0.572443i −0.0355664 0.0187611i
\(932\) −6.75898 + 7.80028i −0.221398 + 0.255507i
\(933\) −61.3419 58.4894i −2.00824 1.91486i
\(934\) 20.0590 + 1.91540i 0.656349 + 0.0626738i
\(935\) 42.4980 2.02443i 1.38983 0.0662059i
\(936\) 21.1390 5.12827i 0.690950 0.167623i
\(937\) 0.726111 + 5.05021i 0.0237210 + 0.164983i 0.998239 0.0593281i \(-0.0188958\pi\)
−0.974518 + 0.224311i \(0.927987\pi\)
\(938\) −9.39366 + 14.4668i −0.306714 + 0.472359i
\(939\) 80.6489 + 11.5956i 2.63188 + 0.378407i
\(940\) 35.6367 + 1.69758i 1.16234 + 0.0553691i
\(941\) −30.2351 + 5.82733i −0.985635 + 0.189965i −0.656507 0.754320i \(-0.727967\pi\)
−0.329128 + 0.944285i \(0.606755\pi\)
\(942\) 19.5448 + 11.2842i 0.636805 + 0.367659i
\(943\) 6.63136 + 43.3312i 0.215947 + 1.41106i
\(944\) 9.79536i 0.318812i
\(945\) −24.3605 + 46.7123i −0.792447 + 1.51955i
\(946\) 11.7034 + 7.52133i 0.380511 + 0.244540i
\(947\) −34.9860 + 14.0063i −1.13689 + 0.455143i −0.862290 0.506416i \(-0.830970\pi\)
−0.274602 + 0.961558i \(0.588546\pi\)
\(948\) −7.30415 10.2572i −0.237228 0.333140i
\(949\) 58.4101 + 23.3839i 1.89607 + 0.759073i
\(950\) −0.221349 0.912413i −0.00718151 0.0296026i
\(951\) 5.78675 + 9.00435i 0.187648 + 0.291986i
\(952\) 2.95954 11.9538i 0.0959191 0.387426i
\(953\) 3.17841 + 10.8247i 0.102959 + 0.350645i 0.994819 0.101667i \(-0.0324176\pi\)
−0.891860 + 0.452312i \(0.850599\pi\)
\(954\) 0.144316 0.748784i 0.00467241 0.0242428i
\(955\) −48.8202 + 16.8968i −1.57978 + 0.546768i
\(956\) −5.89912 + 24.3165i −0.190791 + 0.786452i
\(957\) −8.31240 + 11.6731i −0.268702 + 0.377339i
\(958\) 0.0538993 0.0346390i 0.00174141 0.00111913i
\(959\) −6.36231 + 4.48566i −0.205450 + 0.144849i
\(960\) 9.10230 1.30871i 0.293776 0.0422385i
\(961\) 15.0211 1.43434i 0.484552 0.0462691i
\(962\) 15.6886 + 12.3376i 0.505819 + 0.397781i
\(963\) 38.3342 + 74.3580i 1.23530 + 2.39615i
\(964\) −2.50346 + 7.23326i −0.0806309 + 0.232968i
\(965\) 36.4376 1.17297
\(966\) 34.7441 10.3666i 1.11787 0.333539i
\(967\) −2.81977 −0.0906777 −0.0453388 0.998972i \(-0.514437\pi\)
−0.0453388 + 0.998972i \(0.514437\pi\)
\(968\) 0.959037 2.77096i 0.0308246 0.0890619i
\(969\) 1.06824 + 2.07209i 0.0343168 + 0.0665653i
\(970\) 36.0008 + 28.3114i 1.15592 + 0.909023i
\(971\) 50.0966 4.78365i 1.60768 0.153514i 0.747767 0.663961i \(-0.231126\pi\)
0.859909 + 0.510447i \(0.170520\pi\)
\(972\) −12.1942 + 1.75327i −0.391130 + 0.0562360i
\(973\) −31.0279 14.3466i −0.994708 0.459931i
\(974\) 20.7578 13.3403i 0.665124 0.427449i
\(975\) 37.3892 52.5058i 1.19741 1.68153i
\(976\) −0.442796 + 1.82523i −0.0141736 + 0.0584242i
\(977\) 14.0679 4.86896i 0.450073 0.155772i −0.0926224 0.995701i \(-0.529525\pi\)
0.542696 + 0.839929i \(0.317404\pi\)
\(978\) −4.73920 + 24.5893i −0.151543 + 0.786280i
\(979\) −0.854111 2.90883i −0.0272975 0.0929667i
\(980\) −2.99617 22.3270i −0.0957092 0.713209i
\(981\) 6.29248 + 9.79129i 0.200903 + 0.312612i
\(982\) 0.925523 + 3.81506i 0.0295346 + 0.121743i
\(983\) 19.6829 + 7.87985i 0.627787 + 0.251328i 0.663667 0.748028i \(-0.268999\pi\)
−0.0358799 + 0.999356i \(0.511423\pi\)
\(984\) −15.1503 21.2756i −0.482974 0.678242i
\(985\) −15.3810 + 6.15763i −0.490080 + 0.196198i
\(986\) 6.91346 + 4.44301i 0.220169 + 0.141494i
\(987\) −70.7213 + 44.9815i −2.25108 + 1.43178i
\(988\) 0.738123i 0.0234828i
\(989\) 23.4885 0.212835i 0.746891 0.00676776i
\(990\) −40.8897 23.6077i −1.29956 0.750300i
\(991\) −24.3795 + 4.69876i −0.774439 + 0.149261i −0.561134 0.827725i \(-0.689635\pi\)
−0.213305 + 0.976986i \(0.568423\pi\)
\(992\) −6.78123 0.323030i −0.215304 0.0102562i
\(993\) −79.8631 11.4826i −2.53438 0.364389i
\(994\) −1.45994 + 27.8889i −0.0463063 + 0.884581i
\(995\) 2.04626 + 14.2320i 0.0648708 + 0.451186i
\(996\) −48.5033 + 11.7668i −1.53689 + 0.372844i
\(997\) −35.0780 + 1.67097i −1.11093 + 0.0529202i −0.595012 0.803717i \(-0.702853\pi\)
−0.515919 + 0.856637i \(0.672550\pi\)
\(998\) 8.32081 + 0.794541i 0.263391 + 0.0251508i
\(999\) 21.2236 + 20.2366i 0.671484 + 0.640258i
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 322.2.o.a.171.1 yes 160
7.5 odd 6 inner 322.2.o.a.33.1 160
23.7 odd 22 inner 322.2.o.a.283.1 yes 160
161.145 even 66 inner 322.2.o.a.145.1 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.o.a.33.1 160 7.5 odd 6 inner
322.2.o.a.145.1 yes 160 161.145 even 66 inner
322.2.o.a.171.1 yes 160 1.1 even 1 trivial
322.2.o.a.283.1 yes 160 23.7 odd 22 inner