Properties

Label 378.2.v.a.67.4
Level $378$
Weight $2$
Character 378.67
Analytic conductor $3.018$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(67,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([8, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.67");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.v (of order \(9\), degree \(6\), 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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(12\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 67.4
Character \(\chi\) \(=\) 378.67
Dual form 378.2.v.a.79.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.766044 + 0.642788i) q^{2} +(-0.921674 - 1.46646i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.622926 - 3.53279i) q^{5} +(1.64867 + 0.530936i) q^{6} +(2.63270 + 0.262455i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-1.30103 + 2.70320i) q^{9} +O(q^{10})\) \(q+(-0.766044 + 0.642788i) q^{2} +(-0.921674 - 1.46646i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.622926 - 3.53279i) q^{5} +(1.64867 + 0.530936i) q^{6} +(2.63270 + 0.262455i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-1.30103 + 2.70320i) q^{9} +(1.79365 + 3.10668i) q^{10} +(-0.384477 - 2.18048i) q^{11} +(-1.60423 + 0.653023i) q^{12} +(0.493989 - 2.80155i) q^{13} +(-2.18547 + 1.49122i) q^{14} +(-5.75485 + 2.34258i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(1.79836 + 3.11484i) q^{17} +(-0.740936 - 2.90706i) q^{18} +(-0.812212 + 1.40679i) q^{19} +(-3.37095 - 1.22693i) q^{20} +(-2.04161 - 4.10266i) q^{21} +(1.69611 + 1.42321i) q^{22} +(-6.48380 - 5.44055i) q^{23} +(0.809158 - 1.53143i) q^{24} +(-7.39412 - 2.69124i) q^{25} +(1.42239 + 2.46364i) q^{26} +(5.16328 - 0.583554i) q^{27} +(0.715631 - 2.54713i) q^{28} +(-1.16849 - 6.62686i) q^{29} +(2.90269 - 5.49367i) q^{30} +(-1.66997 + 9.47086i) q^{31} +(0.939693 - 0.342020i) q^{32} +(-2.84323 + 2.57351i) q^{33} +(-3.37980 - 1.23015i) q^{34} +(2.56718 - 9.13730i) q^{35} +(2.43621 + 1.75067i) q^{36} +3.04443 q^{37} +(-0.282078 - 1.59974i) q^{38} +(-4.56367 + 1.85770i) q^{39} +(3.37095 - 1.22693i) q^{40} +(1.85372 - 10.5129i) q^{41} +(4.20110 + 1.83050i) q^{42} +(1.66936 - 1.40076i) q^{43} -2.21412 q^{44} +(8.73941 + 6.28018i) q^{45} +8.46400 q^{46} +(0.870558 + 4.93718i) q^{47} +(0.364530 + 1.69326i) q^{48} +(6.86224 + 1.38193i) q^{49} +(7.39412 - 2.69124i) q^{50} +(2.91031 - 5.50810i) q^{51} +(-2.67321 - 0.972969i) q^{52} +(-5.55919 + 9.62879i) q^{53} +(-3.58020 + 3.76592i) q^{54} -7.94268 q^{55} +(1.08906 + 2.41121i) q^{56} +(2.81160 - 0.105524i) q^{57} +(5.15478 + 4.32538i) q^{58} +(1.89952 - 0.691370i) q^{59} +(1.30768 + 6.07420i) q^{60} +(-0.386180 - 2.19013i) q^{61} +(-4.80848 - 8.32854i) q^{62} +(-4.13470 + 6.77527i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-9.58958 - 3.49032i) q^{65} +(0.523819 - 3.79902i) q^{66} +(-3.49657 - 2.93397i) q^{67} +(3.37980 - 1.23015i) q^{68} +(-2.00243 + 14.5227i) q^{69} +(3.90677 + 8.64972i) q^{70} +(-3.66979 + 6.35627i) q^{71} +(-2.99156 + 0.224874i) q^{72} +3.88508 q^{73} +(-2.33217 + 1.95692i) q^{74} +(2.86836 + 13.3236i) q^{75} +(1.24438 + 1.04416i) q^{76} +(-0.439937 - 5.84146i) q^{77} +(2.30187 - 4.35655i) q^{78} +(0.121652 - 0.102078i) q^{79} +(-1.79365 + 3.10668i) q^{80} +(-5.61462 - 7.03392i) q^{81} +(5.33756 + 9.24492i) q^{82} +(2.54125 + 14.4121i) q^{83} +(-4.39485 + 1.29818i) q^{84} +(12.1243 - 4.41290i) q^{85} +(-0.378414 + 2.14609i) q^{86} +(-8.64108 + 7.82136i) q^{87} +(1.69611 - 1.42321i) q^{88} +(6.94314 - 12.0259i) q^{89} +(-10.7316 + 0.806688i) q^{90} +(2.03581 - 7.24600i) q^{91} +(-6.48380 + 5.44055i) q^{92} +(15.4278 - 6.28010i) q^{93} +(-3.84044 - 3.22251i) q^{94} +(4.46395 + 3.74570i) q^{95} +(-1.36765 - 1.06279i) q^{96} +(-0.437555 + 0.367152i) q^{97} +(-6.14506 + 3.35234i) q^{98} +(6.39450 + 1.79756i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 3 q^{6} - 6 q^{7} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 3 q^{6} - 6 q^{7} + 36 q^{8} + 6 q^{10} + 12 q^{11} + 12 q^{13} - 3 q^{14} - 6 q^{15} - 12 q^{17} + 18 q^{19} + 6 q^{22} + 12 q^{23} - 6 q^{25} - 18 q^{26} + 6 q^{27} + 3 q^{29} + 15 q^{30} - 9 q^{31} - 18 q^{33} - 9 q^{34} - 18 q^{35} - 3 q^{36} - 48 q^{39} - 6 q^{41} + 36 q^{42} - 24 q^{43} - 45 q^{45} - 27 q^{47} + 6 q^{48} + 48 q^{49} + 6 q^{50} + 15 q^{51} - 6 q^{52} - 15 q^{53} - 63 q^{54} - 72 q^{55} - 3 q^{56} + 57 q^{57} - 3 q^{58} - 30 q^{59} + 21 q^{60} + 9 q^{61} - 24 q^{62} - 21 q^{63} - 36 q^{64} + 45 q^{65} + 6 q^{67} + 9 q^{68} - 39 q^{69} + 15 q^{70} + 12 q^{71} - 60 q^{73} - 18 q^{74} + 42 q^{75} + 3 q^{77} + 6 q^{78} - 27 q^{79} - 6 q^{80} + 12 q^{81} + 33 q^{82} + 18 q^{83} - 21 q^{84} + 51 q^{85} - 12 q^{86} - 117 q^{87} + 6 q^{88} - 36 q^{89} - 69 q^{90} - 3 q^{91} + 12 q^{92} - 30 q^{93} - 27 q^{94} + 3 q^{95} + 48 q^{97} - 12 q^{98} + 90 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 + 0.642788i −0.541675 + 0.454519i
\(3\) −0.921674 1.46646i −0.532129 0.846663i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) 0.622926 3.53279i 0.278581 1.57991i −0.448770 0.893647i \(-0.648138\pi\)
0.727351 0.686265i \(-0.240751\pi\)
\(6\) 1.64867 + 0.530936i 0.673066 + 0.216754i
\(7\) 2.63270 + 0.262455i 0.995068 + 0.0991986i
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −1.30103 + 2.70320i −0.433678 + 0.901068i
\(10\) 1.79365 + 3.10668i 0.567200 + 0.982420i
\(11\) −0.384477 2.18048i −0.115924 0.657439i −0.986288 0.165031i \(-0.947228\pi\)
0.870364 0.492409i \(-0.163883\pi\)
\(12\) −1.60423 + 0.653023i −0.463102 + 0.188512i
\(13\) 0.493989 2.80155i 0.137008 0.777011i −0.836432 0.548070i \(-0.815363\pi\)
0.973440 0.228941i \(-0.0735262\pi\)
\(14\) −2.18547 + 1.49122i −0.584091 + 0.398544i
\(15\) −5.75485 + 2.34258i −1.48590 + 0.604852i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 1.79836 + 3.11484i 0.436165 + 0.755461i 0.997390 0.0722029i \(-0.0230029\pi\)
−0.561225 + 0.827664i \(0.689670\pi\)
\(18\) −0.740936 2.90706i −0.174640 0.685201i
\(19\) −0.812212 + 1.40679i −0.186334 + 0.322740i −0.944025 0.329873i \(-0.892994\pi\)
0.757691 + 0.652613i \(0.226327\pi\)
\(20\) −3.37095 1.22693i −0.753767 0.274349i
\(21\) −2.04161 4.10266i −0.445516 0.895274i
\(22\) 1.69611 + 1.42321i 0.361612 + 0.303429i
\(23\) −6.48380 5.44055i −1.35197 1.13443i −0.978375 0.206840i \(-0.933682\pi\)
−0.373590 0.927594i \(-0.621873\pi\)
\(24\) 0.809158 1.53143i 0.165169 0.312601i
\(25\) −7.39412 2.69124i −1.47882 0.538248i
\(26\) 1.42239 + 2.46364i 0.278953 + 0.483160i
\(27\) 5.16328 0.583554i 0.993674 0.112305i
\(28\) 0.715631 2.54713i 0.135242 0.481362i
\(29\) −1.16849 6.62686i −0.216984 1.23058i −0.877430 0.479704i \(-0.840744\pi\)
0.660446 0.750873i \(-0.270367\pi\)
\(30\) 2.90269 5.49367i 0.529955 1.00300i
\(31\) −1.66997 + 9.47086i −0.299935 + 1.70102i 0.346501 + 0.938050i \(0.387370\pi\)
−0.646436 + 0.762968i \(0.723741\pi\)
\(32\) 0.939693 0.342020i 0.166116 0.0604612i
\(33\) −2.84323 + 2.57351i −0.494943 + 0.447991i
\(34\) −3.37980 1.23015i −0.579632 0.210969i
\(35\) 2.56718 9.13730i 0.433932 1.54448i
\(36\) 2.43621 + 1.75067i 0.406036 + 0.291779i
\(37\) 3.04443 0.500502 0.250251 0.968181i \(-0.419487\pi\)
0.250251 + 0.968181i \(0.419487\pi\)
\(38\) −0.282078 1.59974i −0.0457591 0.259513i
\(39\) −4.56367 + 1.85770i −0.730773 + 0.297470i
\(40\) 3.37095 1.22693i 0.532994 0.193994i
\(41\) 1.85372 10.5129i 0.289502 1.64185i −0.399246 0.916844i \(-0.630728\pi\)
0.688747 0.725001i \(-0.258161\pi\)
\(42\) 4.20110 + 1.83050i 0.648245 + 0.282452i
\(43\) 1.66936 1.40076i 0.254575 0.213614i −0.506564 0.862202i \(-0.669085\pi\)
0.761140 + 0.648588i \(0.224640\pi\)
\(44\) −2.21412 −0.333791
\(45\) 8.73941 + 6.28018i 1.30279 + 0.936194i
\(46\) 8.46400 1.24795
\(47\) 0.870558 + 4.93718i 0.126984 + 0.720161i 0.980110 + 0.198456i \(0.0635928\pi\)
−0.853126 + 0.521705i \(0.825296\pi\)
\(48\) 0.364530 + 1.69326i 0.0526154 + 0.244401i
\(49\) 6.86224 + 1.38193i 0.980319 + 0.197419i
\(50\) 7.39412 2.69124i 1.04569 0.380599i
\(51\) 2.91031 5.50810i 0.407525 0.771288i
\(52\) −2.67321 0.972969i −0.370708 0.134927i
\(53\) −5.55919 + 9.62879i −0.763613 + 1.32262i 0.177364 + 0.984145i \(0.443243\pi\)
−0.940977 + 0.338471i \(0.890090\pi\)
\(54\) −3.58020 + 3.76592i −0.487204 + 0.512477i
\(55\) −7.94268 −1.07099
\(56\) 1.08906 + 2.41121i 0.145532 + 0.322212i
\(57\) 2.81160 0.105524i 0.372406 0.0139771i
\(58\) 5.15478 + 4.32538i 0.676856 + 0.567950i
\(59\) 1.89952 0.691370i 0.247297 0.0900087i −0.215398 0.976526i \(-0.569105\pi\)
0.462695 + 0.886518i \(0.346883\pi\)
\(60\) 1.30768 + 6.07420i 0.168820 + 0.784176i
\(61\) −0.386180 2.19013i −0.0494452 0.280418i 0.950053 0.312088i \(-0.101028\pi\)
−0.999498 + 0.0316704i \(0.989917\pi\)
\(62\) −4.80848 8.32854i −0.610678 1.05773i
\(63\) −4.13470 + 6.77527i −0.520923 + 0.853603i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −9.58958 3.49032i −1.18944 0.432921i
\(66\) 0.523819 3.79902i 0.0644777 0.467627i
\(67\) −3.49657 2.93397i −0.427174 0.358442i 0.403710 0.914887i \(-0.367720\pi\)
−0.830884 + 0.556445i \(0.812165\pi\)
\(68\) 3.37980 1.23015i 0.409861 0.149177i
\(69\) −2.00243 + 14.5227i −0.241064 + 1.74832i
\(70\) 3.90677 + 8.64972i 0.466948 + 1.03384i
\(71\) −3.66979 + 6.35627i −0.435524 + 0.754351i −0.997338 0.0729132i \(-0.976770\pi\)
0.561814 + 0.827264i \(0.310104\pi\)
\(72\) −2.99156 + 0.224874i −0.352559 + 0.0265016i
\(73\) 3.88508 0.454714 0.227357 0.973811i \(-0.426992\pi\)
0.227357 + 0.973811i \(0.426992\pi\)
\(74\) −2.33217 + 1.95692i −0.271109 + 0.227488i
\(75\) 2.86836 + 13.3236i 0.331210 + 1.53848i
\(76\) 1.24438 + 1.04416i 0.142740 + 0.119773i
\(77\) −0.439937 5.84146i −0.0501355 0.665696i
\(78\) 2.30187 4.35655i 0.260635 0.493283i
\(79\) 0.121652 0.102078i 0.0136869 0.0114847i −0.635919 0.771756i \(-0.719379\pi\)
0.649605 + 0.760272i \(0.274934\pi\)
\(80\) −1.79365 + 3.10668i −0.200536 + 0.347338i
\(81\) −5.61462 7.03392i −0.623847 0.781546i
\(82\) 5.33756 + 9.24492i 0.589435 + 1.02093i
\(83\) 2.54125 + 14.4121i 0.278938 + 1.58194i 0.726168 + 0.687517i \(0.241300\pi\)
−0.447230 + 0.894419i \(0.647589\pi\)
\(84\) −4.39485 + 1.29818i −0.479518 + 0.141643i
\(85\) 12.1243 4.41290i 1.31507 0.478646i
\(86\) −0.378414 + 2.14609i −0.0408054 + 0.231419i
\(87\) −8.64108 + 7.82136i −0.926421 + 0.838538i
\(88\) 1.69611 1.42321i 0.180806 0.151714i
\(89\) 6.94314 12.0259i 0.735972 1.27474i −0.218324 0.975876i \(-0.570059\pi\)
0.954296 0.298864i \(-0.0966077\pi\)
\(90\) −10.7316 + 0.806688i −1.13121 + 0.0850323i
\(91\) 2.03581 7.24600i 0.213411 0.759587i
\(92\) −6.48380 + 5.44055i −0.675983 + 0.567217i
\(93\) 15.4278 6.28010i 1.59979 0.651216i
\(94\) −3.84044 3.22251i −0.396111 0.332377i
\(95\) 4.46395 + 3.74570i 0.457992 + 0.384301i
\(96\) −1.36765 1.06279i −0.139585 0.108471i
\(97\) −0.437555 + 0.367152i −0.0444270 + 0.0372787i −0.664731 0.747083i \(-0.731454\pi\)
0.620304 + 0.784362i \(0.287009\pi\)
\(98\) −6.14506 + 3.35234i −0.620745 + 0.338637i
\(99\) 6.39450 + 1.79756i 0.642671 + 0.180661i
\(100\) −3.93433 + 6.81445i −0.393433 + 0.681445i
\(101\) 9.15880 7.68514i 0.911334 0.764700i −0.0610380 0.998135i \(-0.519441\pi\)
0.972372 + 0.233435i \(0.0749967\pi\)
\(102\) 1.31111 + 6.09016i 0.129819 + 0.603015i
\(103\) 1.08510 6.15392i 0.106918 0.606364i −0.883519 0.468396i \(-0.844832\pi\)
0.990437 0.137967i \(-0.0440569\pi\)
\(104\) 2.67321 0.972969i 0.262130 0.0954075i
\(105\) −15.7656 + 4.65694i −1.53857 + 0.454470i
\(106\) −1.93069 10.9495i −0.187525 1.06351i
\(107\) 4.96674 + 8.60265i 0.480153 + 0.831649i 0.999741 0.0227676i \(-0.00724779\pi\)
−0.519588 + 0.854417i \(0.673914\pi\)
\(108\) 0.321906 5.18617i 0.0309754 0.499040i
\(109\) 4.26967 7.39528i 0.408960 0.708340i −0.585813 0.810446i \(-0.699225\pi\)
0.994773 + 0.102106i \(0.0325582\pi\)
\(110\) 6.08445 5.10546i 0.580129 0.486786i
\(111\) −2.80598 4.46455i −0.266331 0.423756i
\(112\) −2.38417 1.14706i −0.225282 0.108387i
\(113\) 1.86575 + 1.56555i 0.175515 + 0.147274i 0.726313 0.687364i \(-0.241232\pi\)
−0.550798 + 0.834638i \(0.685677\pi\)
\(114\) −2.08598 + 1.88810i −0.195370 + 0.176837i
\(115\) −23.2593 + 19.5168i −2.16894 + 1.81995i
\(116\) −6.72909 −0.624780
\(117\) 6.93047 + 4.98027i 0.640722 + 0.460426i
\(118\) −1.01072 + 1.75061i −0.0930439 + 0.161157i
\(119\) 3.91703 + 8.67244i 0.359074 + 0.795002i
\(120\) −4.90616 3.81255i −0.447869 0.348037i
\(121\) 5.72995 2.08553i 0.520905 0.189594i
\(122\) 1.70362 + 1.42951i 0.154239 + 0.129422i
\(123\) −17.1254 + 6.97110i −1.54414 + 0.628563i
\(124\) 9.03699 + 3.28920i 0.811546 + 0.295379i
\(125\) −5.14535 + 8.91200i −0.460214 + 0.797114i
\(126\) −1.18769 7.84789i −0.105808 0.699146i
\(127\) 5.79857 + 10.0434i 0.514540 + 0.891209i 0.999858 + 0.0168715i \(0.00537064\pi\)
−0.485318 + 0.874338i \(0.661296\pi\)
\(128\) −0.173648 0.984808i −0.0153485 0.0870455i
\(129\) −3.59278 1.15701i −0.316326 0.101869i
\(130\) 9.58958 3.49032i 0.841062 0.306122i
\(131\) 10.4009 + 8.72743i 0.908735 + 0.762519i 0.971878 0.235486i \(-0.0756681\pi\)
−0.0631433 + 0.998004i \(0.520113\pi\)
\(132\) 2.04069 + 3.24692i 0.177620 + 0.282608i
\(133\) −2.50753 + 3.49049i −0.217430 + 0.302664i
\(134\) 4.56445 0.394309
\(135\) 1.15477 18.6043i 0.0993867 1.60120i
\(136\) −1.79836 + 3.11484i −0.154208 + 0.267096i
\(137\) 13.1544 + 4.78780i 1.12385 + 0.409049i 0.836057 0.548642i \(-0.184855\pi\)
0.287797 + 0.957692i \(0.407077\pi\)
\(138\) −7.80105 12.4121i −0.664069 1.05659i
\(139\) 17.5833 6.39980i 1.49140 0.542824i 0.537580 0.843213i \(-0.319339\pi\)
0.953817 + 0.300389i \(0.0971164\pi\)
\(140\) −8.55269 4.11485i −0.722835 0.347768i
\(141\) 6.43782 5.82711i 0.542163 0.490731i
\(142\) −1.27451 7.22808i −0.106954 0.606567i
\(143\) −6.29865 −0.526720
\(144\) 2.14712 2.09520i 0.178927 0.174600i
\(145\) −24.1392 −2.00465
\(146\) −2.97614 + 2.49728i −0.246307 + 0.206676i
\(147\) −4.29819 11.3369i −0.354509 0.935053i
\(148\) 0.528660 2.99818i 0.0434556 0.246449i
\(149\) −10.7910 + 3.92759i −0.884029 + 0.321760i −0.743835 0.668364i \(-0.766995\pi\)
−0.140195 + 0.990124i \(0.544773\pi\)
\(150\) −10.7616 8.36276i −0.878678 0.682817i
\(151\) −0.595949 3.37980i −0.0484977 0.275044i 0.950910 0.309469i \(-0.100151\pi\)
−0.999407 + 0.0344248i \(0.989040\pi\)
\(152\) −1.62442 −0.131758
\(153\) −10.7598 + 0.808806i −0.869877 + 0.0653881i
\(154\) 4.09183 + 4.19203i 0.329729 + 0.337804i
\(155\) 32.4183 + 11.7993i 2.60390 + 0.947743i
\(156\) 1.03700 + 4.81693i 0.0830268 + 0.385663i
\(157\) 17.4323 6.34482i 1.39125 0.506372i 0.465678 0.884954i \(-0.345810\pi\)
0.925568 + 0.378582i \(0.123588\pi\)
\(158\) −0.0275762 + 0.156392i −0.00219384 + 0.0124419i
\(159\) 19.2440 0.722263i 1.52615 0.0572792i
\(160\) −0.622926 3.53279i −0.0492467 0.279292i
\(161\) −15.6420 16.0251i −1.23276 1.26295i
\(162\) 8.82237 + 1.77928i 0.693151 + 0.139794i
\(163\) −6.60017 11.4318i −0.516965 0.895409i −0.999806 0.0197014i \(-0.993728\pi\)
0.482841 0.875708i \(-0.339605\pi\)
\(164\) −10.0313 3.65111i −0.783315 0.285103i
\(165\) 7.32056 + 11.6477i 0.569905 + 0.906769i
\(166\) −11.2106 9.40685i −0.870115 0.730113i
\(167\) −1.07295 0.900314i −0.0830276 0.0696684i 0.600329 0.799753i \(-0.295036\pi\)
−0.683357 + 0.730085i \(0.739481\pi\)
\(168\) 2.53220 3.81942i 0.195364 0.294675i
\(169\) 4.61133 + 1.67839i 0.354718 + 0.129107i
\(170\) −6.45123 + 11.1739i −0.494786 + 0.856995i
\(171\) −2.74613 4.02586i −0.210002 0.307865i
\(172\) −1.08960 1.88724i −0.0830812 0.143901i
\(173\) 4.66599 + 1.69828i 0.354748 + 0.129118i 0.513246 0.858242i \(-0.328443\pi\)
−0.158498 + 0.987359i \(0.550665\pi\)
\(174\) 1.59198 11.5459i 0.120688 0.875292i
\(175\) −18.7602 9.02585i −1.41814 0.682290i
\(176\) −0.384477 + 2.18048i −0.0289811 + 0.164360i
\(177\) −2.76461 2.14837i −0.207801 0.161481i
\(178\) 2.41133 + 13.6753i 0.180737 + 1.02501i
\(179\) −9.73284 16.8578i −0.727467 1.26001i −0.957951 0.286933i \(-0.907364\pi\)
0.230484 0.973076i \(-0.425969\pi\)
\(180\) 7.70235 7.51609i 0.574099 0.560217i
\(181\) −8.24448 14.2799i −0.612807 1.06141i −0.990765 0.135590i \(-0.956707\pi\)
0.377958 0.925823i \(-0.376626\pi\)
\(182\) 3.09812 + 6.85935i 0.229648 + 0.508449i
\(183\) −2.85582 + 2.58491i −0.211108 + 0.191082i
\(184\) 1.46976 8.33541i 0.108352 0.614495i
\(185\) 1.89646 10.7553i 0.139430 0.790749i
\(186\) −7.78165 + 14.7277i −0.570578 + 1.07988i
\(187\) 6.10043 5.11887i 0.446107 0.374329i
\(188\) 5.01334 0.365636
\(189\) 13.7465 0.181196i 0.999913 0.0131801i
\(190\) −5.82728 −0.422755
\(191\) 2.70272 2.26785i 0.195562 0.164096i −0.539748 0.841826i \(-0.681481\pi\)
0.735311 + 0.677730i \(0.237036\pi\)
\(192\) 1.73083 0.0649612i 0.124912 0.00468817i
\(193\) −1.12568 + 6.38403i −0.0810280 + 0.459533i 0.917115 + 0.398622i \(0.130511\pi\)
−0.998143 + 0.0609104i \(0.980600\pi\)
\(194\) 0.0991856 0.562510i 0.00712111 0.0403858i
\(195\) 3.72004 + 17.2797i 0.266397 + 1.23743i
\(196\) 2.55255 6.51801i 0.182325 0.465572i
\(197\) 2.61375 + 4.52715i 0.186222 + 0.322546i 0.943988 0.329981i \(-0.107042\pi\)
−0.757766 + 0.652527i \(0.773709\pi\)
\(198\) −6.05392 + 2.73330i −0.430233 + 0.194247i
\(199\) 6.79144 + 11.7631i 0.481433 + 0.833866i 0.999773 0.0213088i \(-0.00678332\pi\)
−0.518340 + 0.855174i \(0.673450\pi\)
\(200\) −1.36638 7.74911i −0.0966175 0.547945i
\(201\) −1.07987 + 7.83177i −0.0761678 + 0.552410i
\(202\) −2.07613 + 11.7743i −0.146076 + 0.828438i
\(203\) −1.33705 17.7532i −0.0938423 1.24603i
\(204\) −4.91905 3.82257i −0.344402 0.267633i
\(205\) −35.9853 13.0976i −2.51332 0.914775i
\(206\) 3.12443 + 5.41166i 0.217689 + 0.377049i
\(207\) 23.1426 10.4487i 1.60852 0.726234i
\(208\) −1.42239 + 2.46364i −0.0986247 + 0.170823i
\(209\) 3.37976 + 1.23013i 0.233783 + 0.0850899i
\(210\) 9.08374 13.7014i 0.626838 0.945484i
\(211\) −11.5932 9.72788i −0.798112 0.669695i 0.149627 0.988742i \(-0.452193\pi\)
−0.947739 + 0.319047i \(0.896637\pi\)
\(212\) 8.51717 + 7.14675i 0.584962 + 0.490841i
\(213\) 12.7036 0.476788i 0.870436 0.0326690i
\(214\) −9.33442 3.39745i −0.638088 0.232245i
\(215\) −3.90871 6.77008i −0.266572 0.461716i
\(216\) 3.08701 + 4.17975i 0.210045 + 0.284396i
\(217\) −6.88220 + 24.4957i −0.467194 + 1.66287i
\(218\) 1.48284 + 8.40961i 0.100431 + 0.569570i
\(219\) −3.58078 5.69733i −0.241967 0.384990i
\(220\) −1.37923 + 7.82201i −0.0929878 + 0.527360i
\(221\) 9.61477 3.49949i 0.646759 0.235401i
\(222\) 5.01926 + 1.61640i 0.336871 + 0.108486i
\(223\) 3.65517 + 1.33037i 0.244768 + 0.0890883i 0.461491 0.887145i \(-0.347315\pi\)
−0.216723 + 0.976233i \(0.569537\pi\)
\(224\) 2.56370 0.653810i 0.171294 0.0436845i
\(225\) 16.8950 16.4864i 1.12633 1.09909i
\(226\) −2.43556 −0.162011
\(227\) 0.632952 + 3.58965i 0.0420105 + 0.238254i 0.998581 0.0532463i \(-0.0169568\pi\)
−0.956571 + 0.291500i \(0.905846\pi\)
\(228\) 0.384309 2.78721i 0.0254515 0.184588i
\(229\) −16.2918 + 5.92974i −1.07659 + 0.391848i −0.818639 0.574308i \(-0.805271\pi\)
−0.257956 + 0.966157i \(0.583049\pi\)
\(230\) 5.27245 29.9015i 0.347655 1.97165i
\(231\) −8.16081 + 6.02907i −0.536942 + 0.396684i
\(232\) 5.15478 4.32538i 0.338428 0.283975i
\(233\) 14.5827 0.955344 0.477672 0.878538i \(-0.341481\pi\)
0.477672 + 0.878538i \(0.341481\pi\)
\(234\) −8.51030 + 0.639714i −0.556336 + 0.0418194i
\(235\) 17.9843 1.17317
\(236\) −0.351018 1.99072i −0.0228493 0.129585i
\(237\) −0.261817 0.0843152i −0.0170068 0.00547686i
\(238\) −8.57516 4.12566i −0.555845 0.267427i
\(239\) −0.222801 + 0.0810929i −0.0144118 + 0.00524546i −0.349216 0.937042i \(-0.613552\pi\)
0.334804 + 0.942288i \(0.391330\pi\)
\(240\) 6.20900 0.233035i 0.400789 0.0150423i
\(241\) 5.97573 + 2.17499i 0.384930 + 0.140103i 0.527235 0.849720i \(-0.323229\pi\)
−0.142304 + 0.989823i \(0.545451\pi\)
\(242\) −3.04884 + 5.28075i −0.195987 + 0.339460i
\(243\) −5.14014 + 14.7166i −0.329740 + 0.944072i
\(244\) −2.22392 −0.142372
\(245\) 9.15674 23.3820i 0.585003 1.49382i
\(246\) 8.63786 16.3481i 0.550730 1.04232i
\(247\) 3.53998 + 2.97039i 0.225243 + 0.189002i
\(248\) −9.03699 + 3.28920i −0.573850 + 0.208864i
\(249\) 18.7927 17.0099i 1.19094 1.07796i
\(250\) −1.78696 10.1344i −0.113017 0.640953i
\(251\) 3.41197 + 5.90971i 0.215362 + 0.373018i 0.953384 0.301758i \(-0.0975735\pi\)
−0.738023 + 0.674776i \(0.764240\pi\)
\(252\) 5.95435 + 5.24840i 0.375089 + 0.330618i
\(253\) −9.37014 + 16.2296i −0.589096 + 1.02034i
\(254\) −10.8977 3.96646i −0.683786 0.248878i
\(255\) −17.6460 13.7127i −1.10504 0.858720i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −22.4243 + 8.16176i −1.39879 + 0.509117i −0.927818 0.373033i \(-0.878318\pi\)
−0.470968 + 0.882150i \(0.656095\pi\)
\(258\) 3.49594 1.42307i 0.217648 0.0885963i
\(259\) 8.01508 + 0.799026i 0.498033 + 0.0496490i
\(260\) −5.10251 + 8.83781i −0.316444 + 0.548097i
\(261\) 19.4340 + 5.46309i 1.20293 + 0.338157i
\(262\) −13.5775 −0.838819
\(263\) −22.2804 + 18.6955i −1.37387 + 1.15281i −0.402450 + 0.915442i \(0.631841\pi\)
−0.971419 + 0.237371i \(0.923714\pi\)
\(264\) −3.65034 1.17555i −0.224663 0.0723504i
\(265\) 30.5536 + 25.6375i 1.87689 + 1.57490i
\(266\) −0.322767 4.28568i −0.0197901 0.262772i
\(267\) −24.0348 + 0.902070i −1.47091 + 0.0552058i
\(268\) −3.49657 + 2.93397i −0.213587 + 0.179221i
\(269\) −6.95270 + 12.0424i −0.423913 + 0.734239i −0.996318 0.0857317i \(-0.972677\pi\)
0.572405 + 0.819971i \(0.306011\pi\)
\(270\) 11.0740 + 14.9940i 0.673943 + 0.912506i
\(271\) −13.9492 24.1607i −0.847352 1.46766i −0.883563 0.468312i \(-0.844862\pi\)
0.0362113 0.999344i \(-0.488471\pi\)
\(272\) −0.624563 3.54207i −0.0378697 0.214770i
\(273\) −12.5024 + 3.69301i −0.756677 + 0.223511i
\(274\) −13.1544 + 4.78780i −0.794685 + 0.289242i
\(275\) −3.02532 + 17.1574i −0.182434 + 1.03463i
\(276\) 13.9543 + 4.49384i 0.839952 + 0.270497i
\(277\) −14.4006 + 12.0836i −0.865250 + 0.726031i −0.963092 0.269171i \(-0.913250\pi\)
0.0978421 + 0.995202i \(0.468806\pi\)
\(278\) −9.35588 + 16.2049i −0.561129 + 0.971903i
\(279\) −23.4290 16.8362i −1.40266 1.00796i
\(280\) 9.19672 2.34541i 0.549609 0.140165i
\(281\) −3.57699 + 3.00145i −0.213385 + 0.179052i −0.743215 0.669052i \(-0.766700\pi\)
0.529830 + 0.848104i \(0.322256\pi\)
\(282\) −1.18606 + 8.60198i −0.0706291 + 0.512240i
\(283\) 1.19203 + 1.00023i 0.0708587 + 0.0594575i 0.677529 0.735496i \(-0.263051\pi\)
−0.606670 + 0.794953i \(0.707495\pi\)
\(284\) 5.62245 + 4.71780i 0.333631 + 0.279950i
\(285\) 1.37863 9.99854i 0.0816628 0.592263i
\(286\) 4.82505 4.04870i 0.285311 0.239404i
\(287\) 7.63945 27.1909i 0.450942 1.60503i
\(288\) −0.298022 + 2.98516i −0.0175611 + 0.175902i
\(289\) 2.03183 3.51923i 0.119519 0.207014i
\(290\) 18.4917 15.5164i 1.08587 0.911153i
\(291\) 0.941698 + 0.303264i 0.0552033 + 0.0177776i
\(292\) 0.674637 3.82606i 0.0394802 0.223903i
\(293\) −4.88736 + 1.77885i −0.285523 + 0.103922i −0.480811 0.876824i \(-0.659658\pi\)
0.195289 + 0.980746i \(0.437436\pi\)
\(294\) 10.5798 + 5.92175i 0.617028 + 0.345364i
\(295\) −1.25920 7.14129i −0.0733136 0.415782i
\(296\) 1.52222 + 2.63656i 0.0884770 + 0.153247i
\(297\) −3.25759 11.0341i −0.189025 0.640261i
\(298\) 5.74175 9.94500i 0.332610 0.576098i
\(299\) −18.4449 + 15.4771i −1.06670 + 0.895065i
\(300\) 13.6193 0.511157i 0.786312 0.0295117i
\(301\) 4.76257 3.24966i 0.274510 0.187307i
\(302\) 2.62901 + 2.20600i 0.151283 + 0.126941i
\(303\) −19.7114 6.34785i −1.13239 0.364674i
\(304\) 1.24438 1.04416i 0.0713701 0.0598866i
\(305\) −7.97784 −0.456810
\(306\) 7.72258 7.53584i 0.441471 0.430795i
\(307\) −3.18238 + 5.51205i −0.181628 + 0.314589i −0.942435 0.334389i \(-0.891470\pi\)
0.760807 + 0.648978i \(0.224803\pi\)
\(308\) −5.82911 0.581105i −0.332144 0.0331116i
\(309\) −10.0246 + 4.08064i −0.570280 + 0.232140i
\(310\) −32.4183 + 11.7993i −1.84124 + 0.670155i
\(311\) 11.3066 + 9.48735i 0.641138 + 0.537978i 0.904367 0.426755i \(-0.140343\pi\)
−0.263230 + 0.964733i \(0.584788\pi\)
\(312\) −3.89065 3.02341i −0.220265 0.171167i
\(313\) −1.04392 0.379956i −0.0590059 0.0214764i 0.312349 0.949968i \(-0.398884\pi\)
−0.371354 + 0.928491i \(0.621107\pi\)
\(314\) −9.27551 + 16.0657i −0.523447 + 0.906638i
\(315\) 21.3600 + 18.8275i 1.20350 + 1.06081i
\(316\) −0.0794025 0.137529i −0.00446674 0.00773662i
\(317\) 4.74013 + 26.8826i 0.266232 + 1.50988i 0.765503 + 0.643433i \(0.222490\pi\)
−0.499270 + 0.866446i \(0.666399\pi\)
\(318\) −14.2775 + 12.9231i −0.800644 + 0.724692i
\(319\) −14.0005 + 5.09576i −0.783876 + 0.285308i
\(320\) 2.74802 + 2.30587i 0.153619 + 0.128902i
\(321\) 8.03776 15.2124i 0.448624 0.849073i
\(322\) 22.2832 + 2.22142i 1.24179 + 0.123795i
\(323\) −5.84258 −0.325090
\(324\) −7.90203 + 4.30790i −0.439001 + 0.239328i
\(325\) −11.1923 + 19.3856i −0.620835 + 1.07532i
\(326\) 12.4043 + 4.51478i 0.687008 + 0.250050i
\(327\) −14.7802 + 0.554725i −0.817345 + 0.0306764i
\(328\) 10.0313 3.65111i 0.553888 0.201599i
\(329\) 0.996133 + 13.2266i 0.0549186 + 0.729206i
\(330\) −13.0948 4.21705i −0.720847 0.232141i
\(331\) −4.58932 26.0273i −0.252252 1.43059i −0.803029 0.595939i \(-0.796780\pi\)
0.550777 0.834652i \(-0.314331\pi\)
\(332\) 14.6345 0.803170
\(333\) −3.96091 + 8.22972i −0.217057 + 0.450986i
\(334\) 1.40064 0.0766396
\(335\) −12.5432 + 10.5250i −0.685310 + 0.575043i
\(336\) 0.515296 + 4.55351i 0.0281117 + 0.248414i
\(337\) −0.424932 + 2.40991i −0.0231475 + 0.131276i −0.994192 0.107624i \(-0.965676\pi\)
0.971044 + 0.238900i \(0.0767869\pi\)
\(338\) −4.61133 + 1.67839i −0.250823 + 0.0912923i
\(339\) 0.576209 4.17898i 0.0312954 0.226971i
\(340\) −2.24049 12.7064i −0.121507 0.689103i
\(341\) 21.2931 1.15309
\(342\) 4.69143 + 1.31881i 0.253683 + 0.0713129i
\(343\) 17.7035 + 5.43923i 0.955900 + 0.293691i
\(344\) 2.04778 + 0.745330i 0.110409 + 0.0401855i
\(345\) 50.0582 + 16.1207i 2.69504 + 0.867910i
\(346\) −4.66599 + 1.69828i −0.250845 + 0.0913001i
\(347\) −2.30750 + 13.0865i −0.123873 + 0.702518i 0.858098 + 0.513486i \(0.171646\pi\)
−0.981971 + 0.189032i \(0.939465\pi\)
\(348\) 6.20203 + 9.86797i 0.332464 + 0.528979i
\(349\) 1.90954 + 10.8295i 0.102215 + 0.579691i 0.992296 + 0.123889i \(0.0395365\pi\)
−0.890081 + 0.455802i \(0.849352\pi\)
\(350\) 20.1728 5.14461i 1.07828 0.274991i
\(351\) 0.915748 14.7535i 0.0488790 0.787482i
\(352\) −1.10706 1.91748i −0.0590064 0.102202i
\(353\) 14.8145 + 5.39203i 0.788496 + 0.286989i 0.704711 0.709495i \(-0.251077\pi\)
0.0837852 + 0.996484i \(0.473299\pi\)
\(354\) 3.49876 0.131315i 0.185957 0.00697929i
\(355\) 20.1694 + 16.9241i 1.07048 + 0.898238i
\(356\) −10.6375 8.92593i −0.563787 0.473074i
\(357\) 9.10760 13.7373i 0.482025 0.727058i
\(358\) 18.2918 + 6.65766i 0.966749 + 0.351868i
\(359\) 0.954843 1.65384i 0.0503947 0.0872861i −0.839728 0.543008i \(-0.817285\pi\)
0.890122 + 0.455722i \(0.150619\pi\)
\(360\) −1.06909 + 10.7086i −0.0563460 + 0.564395i
\(361\) 8.18062 + 14.1693i 0.430559 + 0.745750i
\(362\) 15.4945 + 5.63955i 0.814375 + 0.296408i
\(363\) −8.33951 6.48059i −0.437711 0.340143i
\(364\) −6.78240 3.26313i −0.355495 0.171035i
\(365\) 2.42012 13.7252i 0.126675 0.718409i
\(366\) 0.526138 3.81584i 0.0275017 0.199457i
\(367\) −3.96624 22.4937i −0.207036 1.17416i −0.894203 0.447661i \(-0.852257\pi\)
0.687167 0.726499i \(-0.258854\pi\)
\(368\) 4.23200 + 7.33004i 0.220608 + 0.382105i
\(369\) 26.0069 + 18.6887i 1.35386 + 0.972893i
\(370\) 5.46063 + 9.45809i 0.283885 + 0.491703i
\(371\) −17.1628 + 23.8907i −0.891048 + 1.24034i
\(372\) −3.50567 16.2840i −0.181761 0.844286i
\(373\) 4.46783 25.3383i 0.231335 1.31197i −0.618860 0.785501i \(-0.712405\pi\)
0.850196 0.526467i \(-0.176484\pi\)
\(374\) −1.38285 + 7.84256i −0.0715057 + 0.405529i
\(375\) 17.8115 0.668495i 0.919780 0.0345210i
\(376\) −3.84044 + 3.22251i −0.198056 + 0.166188i
\(377\) −19.1427 −0.985900
\(378\) −10.4140 + 8.97491i −0.535638 + 0.461619i
\(379\) 3.07838 0.158126 0.0790629 0.996870i \(-0.474807\pi\)
0.0790629 + 0.996870i \(0.474807\pi\)
\(380\) 4.46395 3.74570i 0.228996 0.192150i
\(381\) 9.38392 17.7602i 0.480753 0.909880i
\(382\) −0.612658 + 3.47456i −0.0313463 + 0.177774i
\(383\) −1.00852 + 5.71962i −0.0515331 + 0.292259i −0.999672 0.0255964i \(-0.991852\pi\)
0.948139 + 0.317855i \(0.102963\pi\)
\(384\) −1.28414 + 1.16232i −0.0655309 + 0.0593144i
\(385\) −20.9107 2.08459i −1.06571 0.106241i
\(386\) −3.24126 5.61402i −0.164976 0.285746i
\(387\) 1.61465 + 6.33507i 0.0820771 + 0.322030i
\(388\) 0.285594 + 0.494663i 0.0144988 + 0.0251127i
\(389\) −5.75438 32.6347i −0.291759 1.65465i −0.680091 0.733127i \(-0.738060\pi\)
0.388332 0.921519i \(-0.373051\pi\)
\(390\) −13.9569 10.8458i −0.706735 0.549200i
\(391\) 5.28630 29.9801i 0.267339 1.51616i
\(392\) 2.23433 + 6.63383i 0.112851 + 0.335059i
\(393\) 3.21218 23.2965i 0.162033 1.17515i
\(394\) −4.91224 1.78791i −0.247475 0.0900736i
\(395\) −0.284840 0.493357i −0.0143318 0.0248235i
\(396\) 2.88064 5.98521i 0.144758 0.300768i
\(397\) −0.469848 + 0.813800i −0.0235810 + 0.0408435i −0.877575 0.479439i \(-0.840840\pi\)
0.853994 + 0.520283i \(0.174173\pi\)
\(398\) −12.7637 4.64562i −0.639788 0.232864i
\(399\) 7.42981 + 0.460104i 0.371956 + 0.0230340i
\(400\) 6.02774 + 5.05787i 0.301387 + 0.252894i
\(401\) 1.03105 + 0.865156i 0.0514883 + 0.0432038i 0.668169 0.744010i \(-0.267078\pi\)
−0.616680 + 0.787214i \(0.711523\pi\)
\(402\) −4.20694 6.69360i −0.209823 0.333847i
\(403\) 25.7082 + 9.35701i 1.28062 + 0.466106i
\(404\) −5.97798 10.3542i −0.297416 0.515139i
\(405\) −28.3469 + 15.4537i −1.40857 + 0.767899i
\(406\) 12.4358 + 12.7403i 0.617178 + 0.632292i
\(407\) −1.17052 6.63832i −0.0580203 0.329049i
\(408\) 6.22531 0.233647i 0.308199 0.0115672i
\(409\) −6.31542 + 35.8165i −0.312277 + 1.77101i 0.274820 + 0.961496i \(0.411382\pi\)
−0.587097 + 0.809516i \(0.699729\pi\)
\(410\) 35.9853 13.0976i 1.77719 0.646843i
\(411\) −5.10291 23.7032i −0.251708 1.16919i
\(412\) −5.87200 2.13723i −0.289293 0.105294i
\(413\) 5.18233 1.32163i 0.255006 0.0650333i
\(414\) −11.0119 + 22.8799i −0.541208 + 1.12449i
\(415\) 52.4981 2.57703
\(416\) −0.493989 2.80155i −0.0242198 0.137357i
\(417\) −25.5912 19.8868i −1.25320 0.973859i
\(418\) −3.37976 + 1.23013i −0.165309 + 0.0601677i
\(419\) −2.57976 + 14.6305i −0.126029 + 0.714748i 0.854662 + 0.519185i \(0.173765\pi\)
−0.980691 + 0.195563i \(0.937347\pi\)
\(420\) 1.84852 + 16.3348i 0.0901983 + 0.797055i
\(421\) −13.0356 + 10.9382i −0.635317 + 0.533094i −0.902576 0.430531i \(-0.858326\pi\)
0.267259 + 0.963625i \(0.413882\pi\)
\(422\) 15.1339 0.736707
\(423\) −14.4788 4.07014i −0.703985 0.197897i
\(424\) −11.1184 −0.539956
\(425\) −4.91447 27.8713i −0.238387 1.35196i
\(426\) −9.42505 + 8.53096i −0.456645 + 0.413326i
\(427\) −0.441885 5.86732i −0.0213843 0.283940i
\(428\) 9.33442 3.39745i 0.451196 0.164222i
\(429\) 5.80531 + 9.23675i 0.280283 + 0.445955i
\(430\) 7.34597 + 2.67371i 0.354254 + 0.128938i
\(431\) 0.143736 0.248959i 0.00692354 0.0119919i −0.862543 0.505984i \(-0.831129\pi\)
0.869466 + 0.493992i \(0.164463\pi\)
\(432\) −5.05148 1.21758i −0.243040 0.0585811i
\(433\) 20.9438 1.00649 0.503246 0.864143i \(-0.332139\pi\)
0.503246 + 0.864143i \(0.332139\pi\)
\(434\) −10.4734 23.1886i −0.502741 1.11309i
\(435\) 22.2485 + 35.3993i 1.06673 + 1.69727i
\(436\) −6.54151 5.48898i −0.313282 0.262875i
\(437\) 12.9199 4.70247i 0.618045 0.224950i
\(438\) 6.40521 + 2.06273i 0.306053 + 0.0985610i
\(439\) 2.35898 + 13.3784i 0.112588 + 0.638517i 0.987916 + 0.154988i \(0.0495340\pi\)
−0.875329 + 0.483529i \(0.839355\pi\)
\(440\) −3.97134 6.87856i −0.189326 0.327923i
\(441\) −12.6636 + 16.7521i −0.603030 + 0.797718i
\(442\) −5.11591 + 8.86102i −0.243339 + 0.421476i
\(443\) 26.5312 + 9.65658i 1.26054 + 0.458798i 0.883949 0.467583i \(-0.154875\pi\)
0.376588 + 0.926381i \(0.377097\pi\)
\(444\) −4.88398 + 1.98808i −0.231783 + 0.0943503i
\(445\) −38.1599 32.0199i −1.80895 1.51789i
\(446\) −3.65517 + 1.33037i −0.173077 + 0.0629950i
\(447\) 15.7054 + 12.2046i 0.742840 + 0.577257i
\(448\) −1.54364 + 2.14876i −0.0729303 + 0.101519i
\(449\) 1.63600 2.83364i 0.0772078 0.133728i −0.824836 0.565371i \(-0.808733\pi\)
0.902044 + 0.431644i \(0.142066\pi\)
\(450\) −2.34503 + 23.4892i −0.110546 + 1.10729i
\(451\) −23.6360 −1.11297
\(452\) 1.86575 1.56555i 0.0877574 0.0736372i
\(453\) −4.40708 + 3.98901i −0.207063 + 0.187420i
\(454\) −2.79225 2.34298i −0.131047 0.109961i
\(455\) −24.3305 11.7058i −1.14063 0.548777i
\(456\) 1.49719 + 2.38216i 0.0701123 + 0.111555i
\(457\) −24.0446 + 20.1758i −1.12476 + 0.943784i −0.998835 0.0482560i \(-0.984634\pi\)
−0.125923 + 0.992040i \(0.540189\pi\)
\(458\) 8.66870 15.0146i 0.405062 0.701588i
\(459\) 11.1031 + 15.0334i 0.518248 + 0.701698i
\(460\) 15.1814 + 26.2950i 0.707837 + 1.22601i
\(461\) 1.11842 + 6.34290i 0.0520902 + 0.295418i 0.999713 0.0239747i \(-0.00763212\pi\)
−0.947622 + 0.319393i \(0.896521\pi\)
\(462\) 2.37613 9.86421i 0.110548 0.458924i
\(463\) −36.0530 + 13.1222i −1.67553 + 0.609841i −0.992686 0.120727i \(-0.961477\pi\)
−0.682839 + 0.730568i \(0.739255\pi\)
\(464\) −1.16849 + 6.62686i −0.0542460 + 0.307644i
\(465\) −12.5759 58.4154i −0.583192 2.70895i
\(466\) −11.1710 + 9.37358i −0.517486 + 0.434223i
\(467\) −3.09746 + 5.36496i −0.143333 + 0.248261i −0.928750 0.370707i \(-0.879115\pi\)
0.785417 + 0.618968i \(0.212449\pi\)
\(468\) 6.10807 5.96037i 0.282346 0.275518i
\(469\) −8.43540 8.64197i −0.389511 0.399049i
\(470\) −13.7768 + 11.5601i −0.635476 + 0.533227i
\(471\) −25.3713 19.7159i −1.16905 0.908462i
\(472\) 1.54851 + 1.29935i 0.0712758 + 0.0598075i
\(473\) −3.69616 3.10145i −0.169950 0.142605i
\(474\) 0.254760 0.103703i 0.0117015 0.00476325i
\(475\) 9.79160 8.21613i 0.449269 0.376982i
\(476\) 9.22087 2.35157i 0.422638 0.107784i
\(477\) −18.7959 27.5550i −0.860605 1.26166i
\(478\) 0.118550 0.205334i 0.00542234 0.00939177i
\(479\) 25.6889 21.5555i 1.17376 0.984898i 0.173756 0.984789i \(-0.444410\pi\)
1.00000 0.000109224i \(-3.47670e-5\pi\)
\(480\) −4.60658 + 4.16958i −0.210260 + 0.190314i
\(481\) 1.50392 8.52914i 0.0685727 0.388895i
\(482\) −5.97573 + 2.17499i −0.272187 + 0.0990679i
\(483\) −9.08333 + 37.7083i −0.413306 + 1.71579i
\(484\) −1.05885 6.00505i −0.0481296 0.272957i
\(485\) 1.02451 + 1.77450i 0.0465205 + 0.0805758i
\(486\) −5.52209 14.5776i −0.250487 0.661254i
\(487\) 7.75756 13.4365i 0.351528 0.608865i −0.634989 0.772521i \(-0.718995\pi\)
0.986517 + 0.163656i \(0.0523287\pi\)
\(488\) 1.70362 1.42951i 0.0771193 0.0647108i
\(489\) −10.6812 + 20.2153i −0.483018 + 0.914168i
\(490\) 8.01520 + 23.7975i 0.362090 + 1.07506i
\(491\) −17.5894 14.7593i −0.793801 0.666078i 0.152882 0.988244i \(-0.451144\pi\)
−0.946683 + 0.322167i \(0.895589\pi\)
\(492\) 3.89140 + 18.0757i 0.175438 + 0.814916i
\(493\) 18.5403 15.5571i 0.835012 0.700658i
\(494\) −4.62111 −0.207914
\(495\) 10.3337 21.4707i 0.464465 0.965035i
\(496\) 4.80848 8.32854i 0.215907 0.373962i
\(497\) −11.3297 + 15.7710i −0.508207 + 0.707426i
\(498\) −3.46224 + 25.1101i −0.155147 + 1.12521i
\(499\) 29.0128 10.5598i 1.29879 0.472721i 0.402187 0.915557i \(-0.368250\pi\)
0.896602 + 0.442837i \(0.146028\pi\)
\(500\) 7.88313 + 6.61473i 0.352544 + 0.295820i
\(501\) −0.331366 + 2.40324i −0.0148043 + 0.107369i
\(502\) −6.41242 2.33393i −0.286200 0.104168i
\(503\) 15.5416 26.9189i 0.692966 1.20025i −0.277895 0.960611i \(-0.589637\pi\)
0.970861 0.239642i \(-0.0770299\pi\)
\(504\) −7.93490 0.193123i −0.353449 0.00860240i
\(505\) −21.4448 37.1434i −0.954279 1.65286i
\(506\) −3.25422 18.4556i −0.144668 0.820450i
\(507\) −1.78885 8.30928i −0.0794457 0.369028i
\(508\) 10.8977 3.96646i 0.483509 0.175983i
\(509\) 5.40896 + 4.53865i 0.239748 + 0.201172i 0.754743 0.656021i \(-0.227762\pi\)
−0.514995 + 0.857193i \(0.672206\pi\)
\(510\) 22.3320 0.838158i 0.988877 0.0371143i
\(511\) 10.2283 + 1.01966i 0.452471 + 0.0451070i
\(512\) −1.00000 −0.0441942
\(513\) −3.37274 + 7.73763i −0.148910 + 0.341625i
\(514\) 11.9317 20.6663i 0.526285 0.911552i
\(515\) −21.0646 7.66688i −0.928216 0.337843i
\(516\) −1.76332 + 3.33728i −0.0776257 + 0.146916i
\(517\) 10.4307 3.79647i 0.458742 0.166968i
\(518\) −6.65351 + 4.53991i −0.292339 + 0.199472i
\(519\) −1.81005 8.40776i −0.0794525 0.369060i
\(520\) −1.77208 10.0500i −0.0777110 0.440721i
\(521\) −7.23543 −0.316990 −0.158495 0.987360i \(-0.550664\pi\)
−0.158495 + 0.987360i \(0.550664\pi\)
\(522\) −18.3989 + 8.30697i −0.805299 + 0.363586i
\(523\) −17.2665 −0.755010 −0.377505 0.926008i \(-0.623218\pi\)
−0.377505 + 0.926008i \(0.623218\pi\)
\(524\) 10.4009 8.72743i 0.454367 0.381259i
\(525\) 4.05468 + 35.8300i 0.176961 + 1.56375i
\(526\) 5.05056 28.6431i 0.220215 1.24890i
\(527\) −32.5035 + 11.8303i −1.41587 + 0.515336i
\(528\) 3.55196 1.44587i 0.154579 0.0629234i
\(529\) 8.44612 + 47.9003i 0.367222 + 2.08262i
\(530\) −39.8848 −1.73249
\(531\) −0.602430 + 6.03429i −0.0261432 + 0.261866i
\(532\) 3.00204 + 3.07555i 0.130155 + 0.133342i
\(533\) −28.5368 10.3866i −1.23607 0.449892i
\(534\) 17.8319 16.1403i 0.771662 0.698460i
\(535\) 33.4853 12.1876i 1.44769 0.526918i
\(536\) 0.792609 4.49511i 0.0342355 0.194159i
\(537\) −15.7508 + 29.8102i −0.679698 + 1.28641i
\(538\) −2.41465 13.6941i −0.104103 0.590396i
\(539\) 0.374895 15.4943i 0.0161479 0.667386i
\(540\) −18.1211 4.36783i −0.779810 0.187961i
\(541\) 5.96279 + 10.3279i 0.256360 + 0.444029i 0.965264 0.261276i \(-0.0841433\pi\)
−0.708904 + 0.705305i \(0.750810\pi\)
\(542\) 26.2159 + 9.54179i 1.12607 + 0.409855i
\(543\) −13.3422 + 25.2516i −0.572567 + 1.08365i
\(544\) 2.75524 + 2.31192i 0.118130 + 0.0991228i
\(545\) −23.4663 19.6906i −1.00519 0.843451i
\(546\) 7.20353 10.8654i 0.308283 0.464995i
\(547\) 24.4309 + 8.89212i 1.04459 + 0.380199i 0.806618 0.591073i \(-0.201295\pi\)
0.237971 + 0.971272i \(0.423518\pi\)
\(548\) 6.99930 12.1231i 0.298995 0.517875i
\(549\) 6.42281 + 1.80551i 0.274119 + 0.0770575i
\(550\) −8.71106 15.0880i −0.371441 0.643354i
\(551\) 10.2717 + 3.73859i 0.437588 + 0.159269i
\(552\) −13.5782 + 5.52718i −0.577927 + 0.235253i
\(553\) 0.347063 0.236812i 0.0147586 0.0100703i
\(554\) 3.26436 18.5131i 0.138689 0.786546i
\(555\) −17.5202 + 7.13184i −0.743693 + 0.302730i
\(556\) −3.24926 18.4275i −0.137799 0.781500i
\(557\) −14.7654 25.5745i −0.625632 1.08363i −0.988418 0.151754i \(-0.951508\pi\)
0.362787 0.931872i \(-0.381825\pi\)
\(558\) 28.7697 2.16260i 1.21792 0.0915503i
\(559\) −3.09966 5.36877i −0.131102 0.227075i
\(560\) −5.53750 + 7.70822i −0.234002 + 0.325732i
\(561\) −13.1292 4.22813i −0.554317 0.178512i
\(562\) 0.810838 4.59849i 0.0342031 0.193976i
\(563\) 4.13510 23.4513i 0.174274 0.988354i −0.764705 0.644380i \(-0.777116\pi\)
0.938979 0.343974i \(-0.111773\pi\)
\(564\) −4.62067 7.35189i −0.194565 0.309570i
\(565\) 6.69298 5.61608i 0.281576 0.236270i
\(566\) −1.55608 −0.0654070
\(567\) −12.9355 19.9918i −0.543242 0.839576i
\(568\) −7.33959 −0.307962
\(569\) −4.50387 + 3.77919i −0.188812 + 0.158432i −0.732294 0.680989i \(-0.761550\pi\)
0.543482 + 0.839421i \(0.317106\pi\)
\(570\) 5.37085 + 8.54549i 0.224960 + 0.357931i
\(571\) −4.27975 + 24.2716i −0.179102 + 1.01574i 0.754200 + 0.656644i \(0.228025\pi\)
−0.933302 + 0.359092i \(0.883086\pi\)
\(572\) −1.09375 + 6.20296i −0.0457320 + 0.259359i
\(573\) −5.81676 1.87322i −0.242999 0.0782551i
\(574\) 11.6258 + 25.7400i 0.485253 + 1.07437i
\(575\) 33.3001 + 57.6775i 1.38871 + 2.40532i
\(576\) −1.69053 2.47833i −0.0704386 0.103264i
\(577\) −7.33975 12.7128i −0.305558 0.529241i 0.671828 0.740708i \(-0.265510\pi\)
−0.977385 + 0.211466i \(0.932176\pi\)
\(578\) 0.705647 + 4.00192i 0.0293511 + 0.166458i
\(579\) 10.3995 4.23323i 0.432187 0.175927i
\(580\) −4.19173 + 23.7725i −0.174052 + 0.987098i
\(581\) 2.90781 + 38.6098i 0.120636 + 1.60180i
\(582\) −0.916317 + 0.372998i −0.0379826 + 0.0154613i
\(583\) 23.1328 + 8.41964i 0.958061 + 0.348706i
\(584\) 1.94254 + 3.36458i 0.0803829 + 0.139227i
\(585\) 21.9114 21.3816i 0.905926 0.884019i
\(586\) 2.60051 4.50422i 0.107426 0.186067i
\(587\) 18.3049 + 6.66246i 0.755526 + 0.274989i 0.690929 0.722922i \(-0.257202\pi\)
0.0645969 + 0.997911i \(0.479424\pi\)
\(588\) −11.9111 + 2.26426i −0.491203 + 0.0933766i
\(589\) −11.9672 10.0416i −0.493098 0.413759i
\(590\) 5.55494 + 4.66115i 0.228693 + 0.191896i
\(591\) 4.22987 8.00553i 0.173994 0.329303i
\(592\) −2.86083 1.04126i −0.117579 0.0427954i
\(593\) −10.1112 17.5131i −0.415217 0.719178i 0.580234 0.814450i \(-0.302961\pi\)
−0.995451 + 0.0952724i \(0.969628\pi\)
\(594\) 9.58802 + 6.35864i 0.393401 + 0.260898i
\(595\) 33.0780 8.43576i 1.35606 0.345832i
\(596\) 1.99409 + 11.3090i 0.0816810 + 0.463236i
\(597\) 10.9907 20.8012i 0.449819 0.851335i
\(598\) 4.18112 23.7123i 0.170979 0.969669i
\(599\) −33.6248 + 12.2384i −1.37387 + 0.500049i −0.920315 0.391177i \(-0.872068\pi\)
−0.453558 + 0.891227i \(0.649846\pi\)
\(600\) −10.1044 + 9.14590i −0.412512 + 0.373380i
\(601\) 41.2382 + 15.0095i 1.68214 + 0.612250i 0.993601 0.112947i \(-0.0360292\pi\)
0.688541 + 0.725197i \(0.258251\pi\)
\(602\) −1.55950 + 5.55070i −0.0635606 + 0.226230i
\(603\) 12.4803 5.63475i 0.508237 0.229465i
\(604\) −3.43193 −0.139643
\(605\) −3.79841 21.5419i −0.154427 0.875801i
\(606\) 19.1801 7.80752i 0.779140 0.317159i
\(607\) −32.0297 + 11.6578i −1.30004 + 0.473177i −0.897011 0.442008i \(-0.854266\pi\)
−0.403033 + 0.915186i \(0.632044\pi\)
\(608\) −0.282078 + 1.59974i −0.0114398 + 0.0648782i
\(609\) −24.8021 + 18.3234i −1.00503 + 0.742502i
\(610\) 6.11138 5.12806i 0.247443 0.207629i
\(611\) 14.2618 0.576971
\(612\) −1.07190 + 10.7368i −0.0433289 + 0.434008i
\(613\) −11.2820 −0.455676 −0.227838 0.973699i \(-0.573166\pi\)
−0.227838 + 0.973699i \(0.573166\pi\)
\(614\) −1.10523 6.26807i −0.0446035 0.252959i
\(615\) 13.9596 + 64.8428i 0.562905 + 2.61472i
\(616\) 4.83888 3.30173i 0.194964 0.133030i
\(617\) −12.4010 + 4.51360i −0.499246 + 0.181711i −0.579355 0.815076i \(-0.696695\pi\)
0.0801090 + 0.996786i \(0.474473\pi\)
\(618\) 5.05631 9.56965i 0.203395 0.384948i
\(619\) −22.0349 8.02006i −0.885658 0.322353i −0.141167 0.989986i \(-0.545086\pi\)
−0.744491 + 0.667632i \(0.767308\pi\)
\(620\) 17.2494 29.8769i 0.692754 1.19988i
\(621\) −36.6525 24.3075i −1.47082 0.975424i
\(622\) −14.7597 −0.591810
\(623\) 21.4355 29.8383i 0.858794 1.19545i
\(624\) 4.92382 0.184800i 0.197111 0.00739791i
\(625\) −1.85962 1.56041i −0.0743848 0.0624163i
\(626\) 1.04392 0.379956i 0.0417234 0.0151861i
\(627\) −1.31109 6.09007i −0.0523600 0.243214i
\(628\) −3.22135 18.2692i −0.128546 0.729020i
\(629\) 5.47498 + 9.48294i 0.218302 + 0.378109i
\(630\) −28.4648 0.692790i −1.13407 0.0276014i
\(631\) 4.36566 7.56154i 0.173794 0.301020i −0.765949 0.642901i \(-0.777731\pi\)
0.939743 + 0.341881i \(0.111064\pi\)
\(632\) 0.149228 + 0.0543145i 0.00593596 + 0.00216051i
\(633\) −3.58040 + 25.9670i −0.142308 + 1.03210i
\(634\) −20.9110 17.5464i −0.830481 0.696856i
\(635\) 39.0934 14.2288i 1.55137 0.564654i
\(636\) 2.63040 19.0771i 0.104302 0.756456i
\(637\) 7.26142 18.5423i 0.287708 0.734671i
\(638\) 7.44950 12.9029i 0.294928 0.510831i
\(639\) −12.4078 18.1899i −0.490844 0.719582i
\(640\) −3.58729 −0.141800
\(641\) −25.1631 + 21.1143i −0.993881 + 0.833965i −0.986125 0.166004i \(-0.946913\pi\)
−0.00775630 + 0.999970i \(0.502469\pi\)
\(642\) 3.62105 + 16.8199i 0.142912 + 0.663830i
\(643\) 12.6672 + 10.6290i 0.499545 + 0.419168i 0.857432 0.514597i \(-0.172058\pi\)
−0.357887 + 0.933765i \(0.616503\pi\)
\(644\) −18.4978 + 12.6216i −0.728916 + 0.497363i
\(645\) −6.32553 + 11.9718i −0.249067 + 0.471389i
\(646\) 4.47568 3.75554i 0.176093 0.147760i
\(647\) 4.75023 8.22764i 0.186751 0.323462i −0.757414 0.652935i \(-0.773538\pi\)
0.944165 + 0.329473i \(0.106871\pi\)
\(648\) 3.28424 8.37937i 0.129017 0.329173i
\(649\) −2.23784 3.87606i −0.0878430 0.152148i
\(650\) −3.88703 22.0444i −0.152462 0.864654i
\(651\) 42.2652 12.4845i 1.65650 0.489307i
\(652\) −12.4043 + 4.51478i −0.485788 + 0.176812i
\(653\) −2.78788 + 15.8108i −0.109098 + 0.618726i 0.880406 + 0.474221i \(0.157270\pi\)
−0.989504 + 0.144505i \(0.953841\pi\)
\(654\) 10.9657 9.92545i 0.428792 0.388116i
\(655\) 37.3112 31.3078i 1.45787 1.22330i
\(656\) −5.33756 + 9.24492i −0.208397 + 0.360954i
\(657\) −5.05462 + 10.5022i −0.197200 + 0.409728i
\(658\) −9.26498 9.49186i −0.361186 0.370031i
\(659\) −26.5624 + 22.2885i −1.03472 + 0.868237i −0.991406 0.130825i \(-0.958238\pi\)
−0.0433188 + 0.999061i \(0.513793\pi\)
\(660\) 12.7419 5.18675i 0.495978 0.201894i
\(661\) 23.7417 + 19.9216i 0.923445 + 0.774862i 0.974629 0.223827i \(-0.0718551\pi\)
−0.0511842 + 0.998689i \(0.516300\pi\)
\(662\) 20.2457 + 16.9881i 0.786870 + 0.660263i
\(663\) −13.9936 10.8743i −0.543465 0.422324i
\(664\) −11.2106 + 9.40685i −0.435057 + 0.365057i
\(665\) 10.7692 + 11.0329i 0.417611 + 0.427838i
\(666\) −2.25573 8.85036i −0.0874078 0.342944i
\(667\) −28.4775 + 49.3245i −1.10265 + 1.90985i
\(668\) −1.07295 + 0.900314i −0.0415138 + 0.0348342i
\(669\) −1.41793 6.58634i −0.0548204 0.254643i
\(670\) 2.84332 16.1253i 0.109847 0.622973i
\(671\) −4.62706 + 1.68411i −0.178626 + 0.0650145i
\(672\) −3.32168 3.15697i −0.128137 0.121783i
\(673\) 5.06620 + 28.7318i 0.195288 + 1.10753i 0.912009 + 0.410171i \(0.134531\pi\)
−0.716721 + 0.697360i \(0.754358\pi\)
\(674\) −1.22354 2.11924i −0.0471292 0.0816301i
\(675\) −39.7484 9.58075i −1.52992 0.368763i
\(676\) 2.45364 4.24983i 0.0943707 0.163455i
\(677\) −26.7309 + 22.4299i −1.02735 + 0.862051i −0.990534 0.137271i \(-0.956167\pi\)
−0.0368189 + 0.999322i \(0.511722\pi\)
\(678\) 2.24479 + 3.57166i 0.0862108 + 0.137169i
\(679\) −1.24831 + 0.851764i −0.0479058 + 0.0326877i
\(680\) 9.88385 + 8.29354i 0.379028 + 0.318043i
\(681\) 4.68072 4.23669i 0.179366 0.162350i
\(682\) −16.3115 + 13.6869i −0.624598 + 0.524100i
\(683\) 7.25962 0.277782 0.138891 0.990308i \(-0.455646\pi\)
0.138891 + 0.990308i \(0.455646\pi\)
\(684\) −4.44156 + 2.00533i −0.169827 + 0.0766756i
\(685\) 25.1085 43.4892i 0.959347 1.66164i
\(686\) −17.0580 + 7.21291i −0.651276 + 0.275390i
\(687\) 23.7115 + 18.4261i 0.904651 + 0.703000i
\(688\) −2.04778 + 0.745330i −0.0780708 + 0.0284154i
\(689\) 24.2294 + 20.3309i 0.923066 + 0.774545i
\(690\) −48.7090 + 19.8276i −1.85432 + 0.754824i
\(691\) 35.1435 + 12.7912i 1.33692 + 0.486600i 0.908842 0.417140i \(-0.136968\pi\)
0.428081 + 0.903740i \(0.359190\pi\)
\(692\) 2.48272 4.30020i 0.0943788 0.163469i
\(693\) 16.3630 + 6.41070i 0.621580 + 0.243522i
\(694\) −6.64417 11.5080i −0.252209 0.436839i
\(695\) −11.6561 66.1048i −0.442139 2.50750i
\(696\) −11.0940 3.57272i −0.420518 0.135423i
\(697\) 36.0798 13.1320i 1.36662 0.497409i
\(698\) −8.42387 7.06847i −0.318848 0.267545i
\(699\) −13.4405 21.3850i −0.508366 0.808855i
\(700\) −12.1464 + 16.9078i −0.459091 + 0.639056i
\(701\) −25.3690 −0.958175 −0.479088 0.877767i \(-0.659032\pi\)
−0.479088 + 0.877767i \(0.659032\pi\)
\(702\) 8.78184 + 11.8904i 0.331449 + 0.448776i
\(703\) −2.47272 + 4.28288i −0.0932605 + 0.161532i
\(704\) 2.08059 + 0.757273i 0.0784152 + 0.0285408i
\(705\) −16.5757 26.3734i −0.624276 0.993278i
\(706\) −14.8145 + 5.39203i −0.557551 + 0.202932i
\(707\) 26.1294 17.8289i 0.982696 0.670525i
\(708\) −2.59580 + 2.34955i −0.0975560 + 0.0883015i
\(709\) 5.08512 + 28.8391i 0.190976 + 1.08308i 0.918034 + 0.396501i \(0.129776\pi\)
−0.727059 + 0.686575i \(0.759113\pi\)
\(710\) −26.3292 −0.988119
\(711\) 0.117664 + 0.461656i 0.00441276 + 0.0173134i
\(712\) 13.8863 0.520411
\(713\) 62.3545 52.3216i 2.33519 1.95946i
\(714\) 1.85337 + 16.3777i 0.0693607 + 0.612919i
\(715\) −3.92360 + 22.2518i −0.146734 + 0.832171i
\(716\) −18.2918 + 6.65766i −0.683595 + 0.248808i
\(717\) 0.324270 + 0.251988i 0.0121101 + 0.00941067i
\(718\) 0.331613 + 1.88067i 0.0123757 + 0.0701861i
\(719\) 6.82830 0.254653 0.127326 0.991861i \(-0.459360\pi\)
0.127326 + 0.991861i \(0.459360\pi\)
\(720\) −6.06441 8.89049i −0.226007 0.331329i
\(721\) 4.47187 15.9166i 0.166541 0.592767i
\(722\) −15.3745 5.59588i −0.572181 0.208257i
\(723\) −2.31813 10.7678i −0.0862123 0.400459i
\(724\) −15.4945 + 5.63955i −0.575850 + 0.209592i
\(725\) −9.19448 + 52.1445i −0.341474 + 1.93660i
\(726\) 10.5541 0.396113i 0.391698 0.0147011i
\(727\) −6.67878 37.8773i −0.247702 1.40479i −0.814132 0.580680i \(-0.802787\pi\)
0.566429 0.824110i \(-0.308324\pi\)
\(728\) 7.29312 1.85994i 0.270301 0.0689340i
\(729\) 26.3189 6.02611i 0.974775 0.223189i
\(730\) 6.96846 + 12.0697i 0.257914 + 0.446720i
\(731\) 7.36526 + 2.68074i 0.272414 + 0.0991506i
\(732\) 2.04973 + 3.26130i 0.0757602 + 0.120541i
\(733\) 30.8929 + 25.9222i 1.14105 + 0.957459i 0.999473 0.0324678i \(-0.0103366\pi\)
0.141582 + 0.989927i \(0.454781\pi\)
\(734\) 17.4970 + 14.6817i 0.645825 + 0.541912i
\(735\) −42.7284 + 8.12256i −1.57606 + 0.299605i
\(736\) −7.95356 2.89486i −0.293172 0.106706i
\(737\) −5.05311 + 8.75225i −0.186134 + 0.322393i
\(738\) −31.9353 + 2.40055i −1.17555 + 0.0883656i
\(739\) −8.16745 14.1464i −0.300445 0.520385i 0.675792 0.737092i \(-0.263802\pi\)
−0.976237 + 0.216707i \(0.930468\pi\)
\(740\) −10.2626 3.73529i −0.377262 0.137312i
\(741\) 1.09327 7.92898i 0.0401623 0.291278i
\(742\) −2.20918 29.3334i −0.0811016 1.07686i
\(743\) −2.57617 + 14.6102i −0.0945104 + 0.535995i 0.900386 + 0.435092i \(0.143284\pi\)
−0.994896 + 0.100903i \(0.967827\pi\)
\(744\) 13.1527 + 10.2209i 0.482200 + 0.374715i
\(745\) 7.15337 + 40.5688i 0.262079 + 1.48633i
\(746\) 12.8646 + 22.2821i 0.471006 + 0.815807i
\(747\) −42.2652 11.8812i −1.54640 0.434709i
\(748\) −3.98177 6.89663i −0.145588 0.252166i
\(749\) 10.8181 + 23.9518i 0.395286 + 0.875178i
\(750\) −13.2147 + 11.9611i −0.482532 + 0.436757i
\(751\) 3.25803 18.4772i 0.118887 0.674243i −0.865865 0.500279i \(-0.833231\pi\)
0.984752 0.173965i \(-0.0556579\pi\)
\(752\) 0.870558 4.93718i 0.0317460 0.180040i
\(753\) 5.52165 10.4504i 0.201220 0.380833i
\(754\) 14.6642 12.3047i 0.534038 0.448111i
\(755\) −12.3113 −0.448056
\(756\) 2.20862 13.5692i 0.0803266 0.493505i
\(757\) −21.7187 −0.789379 −0.394690 0.918815i \(-0.629148\pi\)
−0.394690 + 0.918815i \(0.629148\pi\)
\(758\) −2.35818 + 1.97875i −0.0856529 + 0.0718713i
\(759\) 32.4363 1.21739i 1.17736 0.0441885i
\(760\) −1.01190 + 5.73875i −0.0367053 + 0.208166i
\(761\) 7.21511 40.9189i 0.261548 1.48331i −0.517142 0.855900i \(-0.673004\pi\)
0.778689 0.627410i \(-0.215885\pi\)
\(762\) 4.22751 + 19.6369i 0.153146 + 0.711371i
\(763\) 13.1817 18.3490i 0.477209 0.664278i
\(764\) −1.76408 3.05547i −0.0638221 0.110543i
\(765\) −3.84521 + 38.5159i −0.139024 + 1.39254i
\(766\) −2.90393 5.02975i −0.104923 0.181732i
\(767\) −0.998565 5.66314i −0.0360561 0.204484i
\(768\) 0.236582 1.71582i 0.00853690 0.0619142i
\(769\) −4.20100 + 23.8250i −0.151492 + 0.859153i 0.810431 + 0.585833i \(0.199233\pi\)
−0.961923 + 0.273319i \(0.911878\pi\)
\(770\) 17.3585 11.8443i 0.625556 0.426837i
\(771\) 32.6368 + 25.3619i 1.17538 + 0.913386i
\(772\) 6.09157 + 2.21715i 0.219240 + 0.0797970i
\(773\) −6.55884 11.3602i −0.235905 0.408600i 0.723630 0.690188i \(-0.242472\pi\)
−0.959535 + 0.281588i \(0.909139\pi\)
\(774\) −5.30899 3.81507i −0.190828 0.137130i
\(775\) 37.8363 65.5344i 1.35912 2.35406i
\(776\) −0.536740 0.195358i −0.0192679 0.00701293i
\(777\) −6.21555 12.4903i −0.222982 0.448086i
\(778\) 25.3853 + 21.3008i 0.910108 + 0.763671i
\(779\) 13.2839 + 11.1465i 0.475945 + 0.399366i
\(780\) 17.6632 0.662930i 0.632443 0.0237367i
\(781\) 15.2707 + 5.55807i 0.546428 + 0.198883i
\(782\) 15.2213 + 26.3640i 0.544312 + 0.942776i
\(783\) −9.90040 33.5345i −0.353811 1.19842i
\(784\) −5.97574 3.64561i −0.213419 0.130200i
\(785\) −11.5559 65.5369i −0.412449 2.33911i
\(786\) 12.5140 + 19.9109i 0.446360 + 0.710197i
\(787\) −4.98120 + 28.2498i −0.177561 + 1.00700i 0.757586 + 0.652735i \(0.226379\pi\)
−0.935147 + 0.354261i \(0.884733\pi\)
\(788\) 4.91224 1.78791i 0.174991 0.0636917i
\(789\) 47.9515 + 15.4423i 1.70712 + 0.549760i
\(790\) 0.535323 + 0.194842i 0.0190460 + 0.00693216i
\(791\) 4.50107 + 4.61130i 0.160040 + 0.163959i
\(792\) 1.64052 + 6.43658i 0.0582933 + 0.228714i
\(793\) −6.32654 −0.224662
\(794\) −0.163176 0.925420i −0.00579091 0.0328419i
\(795\) 9.43602 68.4351i 0.334661 2.42714i
\(796\) 12.7637 4.64562i 0.452399 0.164660i
\(797\) 2.10926 11.9622i 0.0747139 0.423723i −0.924392 0.381444i \(-0.875427\pi\)
0.999106 0.0422795i \(-0.0134620\pi\)
\(798\) −5.98731 + 4.42333i −0.211949 + 0.156584i
\(799\) −13.8130 + 11.5905i −0.488668 + 0.410041i
\(800\) −7.86865 −0.278199
\(801\) 23.4751 + 34.4148i 0.829453 + 1.21599i
\(802\) −1.34594 −0.0475269
\(803\) −1.49373 8.47134i −0.0527124 0.298947i
\(804\) 7.52527 + 2.42343i 0.265396 + 0.0854678i
\(805\) −66.3570 + 45.2775i −2.33878 + 1.59582i
\(806\) −25.7082 + 9.35701i −0.905532 + 0.329587i
\(807\) 24.0679 0.903311i 0.847230 0.0317980i
\(808\) 11.2349 + 4.08918i 0.395243 + 0.143857i
\(809\) 19.9107 34.4863i 0.700021 1.21247i −0.268437 0.963297i \(-0.586507\pi\)
0.968458 0.249175i \(-0.0801596\pi\)
\(810\) 11.7815 30.0592i 0.413961 1.05617i
\(811\) −47.8526 −1.68033 −0.840166 0.542329i \(-0.817543\pi\)
−0.840166 + 0.542329i \(0.817543\pi\)
\(812\) −17.7157 1.76608i −0.621699 0.0619773i
\(813\) −22.5742 + 42.7242i −0.791711 + 1.49840i
\(814\) 5.16370 + 4.33286i 0.180988 + 0.151867i
\(815\) −44.4977 + 16.1958i −1.55869 + 0.567315i
\(816\) −4.61868 + 4.18053i −0.161686 + 0.146348i
\(817\) 0.614704 + 3.48616i 0.0215058 + 0.121965i
\(818\) −18.1845 31.4965i −0.635807 1.10125i
\(819\) 16.9388 + 14.9305i 0.591888 + 0.521714i
\(820\) −19.1474 + 33.1642i −0.668655 + 1.15815i
\(821\) 2.82526 + 1.02831i 0.0986022 + 0.0358883i 0.390850 0.920454i \(-0.372181\pi\)
−0.292248 + 0.956343i \(0.594403\pi\)
\(822\) 19.1452 + 14.8776i 0.667765 + 0.518917i
\(823\) 26.9553 + 22.6181i 0.939601 + 0.788419i 0.977516 0.210862i \(-0.0676271\pi\)
−0.0379147 + 0.999281i \(0.512072\pi\)
\(824\) 5.87200 2.13723i 0.204561 0.0744540i
\(825\) 27.9491 11.3770i 0.973064 0.396098i
\(826\) −3.12037 + 4.34357i −0.108571 + 0.151132i
\(827\) −0.410700 + 0.711353i −0.0142814 + 0.0247362i −0.873078 0.487581i \(-0.837879\pi\)
0.858796 + 0.512317i \(0.171213\pi\)
\(828\) −6.27128 24.6054i −0.217942 0.855096i
\(829\) −14.4753 −0.502749 −0.251375 0.967890i \(-0.580883\pi\)
−0.251375 + 0.967890i \(0.580883\pi\)
\(830\) −40.2158 + 33.7451i −1.39591 + 1.17131i
\(831\) 30.9928 + 9.98090i 1.07513 + 0.346234i
\(832\) 2.17922 + 1.82858i 0.0755509 + 0.0633947i
\(833\) 8.03625 + 23.8600i 0.278439 + 0.826700i
\(834\) 32.3869 1.21554i 1.12147 0.0420906i
\(835\) −3.84899 + 3.22969i −0.133200 + 0.111768i
\(836\) 1.79833 3.11480i 0.0621966 0.107728i
\(837\) −3.09576 + 49.8752i −0.107005 + 1.72394i
\(838\) −7.42812 12.8659i −0.256600 0.444444i
\(839\) 0.519920 + 2.94861i 0.0179496 + 0.101797i 0.992466 0.122517i \(-0.0390967\pi\)
−0.974517 + 0.224315i \(0.927986\pi\)
\(840\) −11.9158 11.3250i −0.411135 0.390748i
\(841\) −15.2988 + 5.56832i −0.527546 + 0.192011i
\(842\) 2.95493 16.7583i 0.101834 0.577528i
\(843\) 7.69834 + 2.47917i 0.265145 + 0.0853871i
\(844\) −11.5932 + 9.72788i −0.399056 + 0.334848i
\(845\) 8.80192 15.2454i 0.302795 0.524457i
\(846\) 13.7077 6.18890i 0.471279 0.212779i
\(847\) 15.6326 3.98673i 0.537143 0.136986i
\(848\) 8.51717 7.14675i 0.292481 0.245421i
\(849\) 0.368140 2.66995i 0.0126345 0.0916325i
\(850\) 21.6800 + 18.1917i 0.743619 + 0.623971i
\(851\) −19.7395 16.5634i −0.676661 0.567786i
\(852\) 1.73641 12.5934i 0.0594885 0.431443i
\(853\) 32.2146 27.0312i 1.10301 0.925532i 0.105383 0.994432i \(-0.466393\pi\)
0.997624 + 0.0688994i \(0.0219487\pi\)
\(854\) 4.10994 + 4.21059i 0.140639 + 0.144083i
\(855\) −15.9331 + 7.19369i −0.544902 + 0.246019i
\(856\) −4.96674 + 8.60265i −0.169760 + 0.294032i
\(857\) −30.2210 + 25.3584i −1.03233 + 0.866226i −0.991126 0.132925i \(-0.957563\pi\)
−0.0412020 + 0.999151i \(0.513119\pi\)
\(858\) −10.3844 3.34418i −0.354517 0.114168i
\(859\) 1.87176 10.6153i 0.0638635 0.362188i −0.936082 0.351781i \(-0.885576\pi\)
0.999946 0.0104069i \(-0.00331269\pi\)
\(860\) −7.34597 + 2.67371i −0.250495 + 0.0911729i
\(861\) −46.9156 + 13.8582i −1.59888 + 0.472286i
\(862\) 0.0499191 + 0.283105i 0.00170025 + 0.00964261i
\(863\) 21.2282 + 36.7683i 0.722617 + 1.25161i 0.959947 + 0.280180i \(0.0903942\pi\)
−0.237331 + 0.971429i \(0.576272\pi\)
\(864\) 4.65231 2.31431i 0.158275 0.0787343i
\(865\) 8.90623 15.4261i 0.302821 0.524501i
\(866\) −16.0438 + 13.4624i −0.545192 + 0.457471i
\(867\) −7.03351 + 0.263980i −0.238871 + 0.00896523i
\(868\) 22.9284 + 11.0313i 0.778242 + 0.374426i
\(869\) −0.269351 0.226012i −0.00913710 0.00766694i
\(870\) −39.7975 12.8164i −1.34926 0.434516i
\(871\) −9.94695 + 8.34648i −0.337040 + 0.282810i
\(872\) 8.53934 0.289178
\(873\) −0.423213 1.66048i −0.0143236 0.0561986i
\(874\) −6.87456 + 11.9071i −0.232535 + 0.402763i
\(875\) −15.8852 + 22.1122i −0.537016 + 0.747529i
\(876\) −6.23257 + 2.53705i −0.210579 + 0.0857189i
\(877\) −24.7754 + 9.01751i −0.836606 + 0.304500i −0.724567 0.689204i \(-0.757960\pi\)
−0.112039 + 0.993704i \(0.535738\pi\)
\(878\) −10.4066 8.73214i −0.351204 0.294696i
\(879\) 7.11318 + 5.52762i 0.239922 + 0.186442i
\(880\) 7.46368 + 2.71656i 0.251601 + 0.0915751i
\(881\) −17.4217 + 30.1753i −0.586953 + 1.01663i 0.407676 + 0.913127i \(0.366339\pi\)
−0.994629 + 0.103506i \(0.966994\pi\)
\(882\) −1.06712 20.9729i −0.0359319 0.706193i
\(883\) 11.9222 + 20.6499i 0.401214 + 0.694923i 0.993873 0.110530i \(-0.0352549\pi\)
−0.592658 + 0.805454i \(0.701922\pi\)
\(884\) −1.77674 10.0764i −0.0597581 0.338905i
\(885\) −9.31188 + 8.42852i −0.313015 + 0.283322i
\(886\) −26.5312 + 9.65658i −0.891335 + 0.324419i
\(887\) −28.0551 23.5410i −0.941997 0.790430i 0.0359344 0.999354i \(-0.488559\pi\)
−0.977932 + 0.208925i \(0.933004\pi\)
\(888\) 2.46343 4.66232i 0.0826672 0.156457i
\(889\) 12.6300 + 27.9632i 0.423595 + 0.937855i
\(890\) 49.8141 1.66977
\(891\) −13.1786 + 14.9470i −0.441500 + 0.500742i
\(892\) 1.94487 3.36862i 0.0651192 0.112790i
\(893\) −7.65266 2.78534i −0.256086 0.0932078i
\(894\) −19.8760 + 0.745981i −0.664753 + 0.0249493i
\(895\) −65.6179 + 23.8829i −2.19336 + 0.798319i
\(896\) −0.198696 2.63828i −0.00663798 0.0881387i
\(897\) 39.6969 + 12.7839i 1.32544 + 0.426844i
\(898\) 0.568178 + 3.22230i 0.0189604 + 0.107529i
\(899\) 64.7135 2.15831
\(900\) −13.3022 19.5011i −0.443406 0.650037i
\(901\) −39.9896 −1.33225
\(902\) 18.1062 15.1929i 0.602870 0.505868i
\(903\) −9.15504 3.98902i −0.304661 0.132746i
\(904\) −0.422931 + 2.39856i −0.0140665 + 0.0797749i
\(905\) −55.5835 + 20.2307i −1.84766 + 0.672492i
\(906\) 0.811932 5.88857i 0.0269746 0.195635i
\(907\) 1.04919 + 5.95028i 0.0348379 + 0.197576i 0.997259 0.0739844i \(-0.0235715\pi\)
−0.962421 + 0.271560i \(0.912460\pi\)
\(908\) 3.64503 0.120964
\(909\) 8.85861 + 34.7567i 0.293821 + 1.15281i
\(910\) 26.1626 6.67215i 0.867280 0.221179i
\(911\) 36.8589 + 13.4155i 1.22119 + 0.444477i 0.870571 0.492042i \(-0.163749\pi\)
0.350618 + 0.936519i \(0.385972\pi\)
\(912\) −2.67813 0.862465i −0.0886819 0.0285591i
\(913\) 30.4483 11.0823i 1.00769 0.366770i
\(914\) 5.45046 30.9111i 0.180285 1.02245i
\(915\) 7.35297 + 11.6992i 0.243082 + 0.386764i
\(916\) 3.01061 + 17.0740i 0.0994733 + 0.564141i
\(917\) 25.0920 + 25.7065i 0.828612 + 0.848903i
\(918\) −18.1687 4.37930i −0.599658 0.144538i
\(919\) 11.7174 + 20.2951i 0.386521 + 0.669473i 0.991979 0.126404i \(-0.0403434\pi\)
−0.605458 + 0.795877i \(0.707010\pi\)
\(920\) −28.5317 10.3847i −0.940663 0.342373i
\(921\) 11.0163 0.413463i 0.363001 0.0136241i
\(922\) −4.93390 4.14003i −0.162489 0.136345i
\(923\) 15.9946 + 13.4211i 0.526468 + 0.441759i
\(924\) 4.52037 + 9.08377i 0.148709 + 0.298834i
\(925\) −22.5109 8.19329i −0.740153 0.269394i
\(926\) 19.1834 33.2266i 0.630406 1.09189i
\(927\) 15.2235 + 10.9397i 0.500007 + 0.359307i
\(928\) −3.36455 5.82756i −0.110447 0.191299i
\(929\) 11.8387 + 4.30895i 0.388416 + 0.141372i 0.528844 0.848719i \(-0.322626\pi\)
−0.140428 + 0.990091i \(0.544848\pi\)
\(930\) 47.1824 + 36.6652i 1.54717 + 1.20230i
\(931\) −7.51767 + 8.53132i −0.246382 + 0.279603i
\(932\) 2.53226 14.3612i 0.0829469 0.470415i
\(933\) 3.49187 25.3249i 0.114319 0.829102i
\(934\) −1.07574 6.10081i −0.0351992 0.199625i
\(935\) −14.2838 24.7402i −0.467129 0.809091i
\(936\) −0.847803 + 8.49210i −0.0277113 + 0.277573i
\(937\) 7.17883 + 12.4341i 0.234522 + 0.406205i 0.959134 0.282953i \(-0.0913141\pi\)
−0.724611 + 0.689158i \(0.757981\pi\)
\(938\) 12.0168 + 1.19796i 0.392364 + 0.0391148i
\(939\) 0.404963 + 1.88107i 0.0132155 + 0.0613863i
\(940\) 3.12294 17.7111i 0.101859 0.577672i
\(941\) 7.71320 43.7438i 0.251443 1.42601i −0.553597 0.832785i \(-0.686745\pi\)
0.805040 0.593221i \(-0.202144\pi\)
\(942\) 32.1087 1.20510i 1.04616 0.0392642i
\(943\) −69.2153 + 58.0785i −2.25396 + 1.89130i
\(944\) −2.02143 −0.0657920
\(945\) 7.92295 48.6765i 0.257734 1.58345i
\(946\) 4.82500 0.156874
\(947\) −25.4159 + 21.3264i −0.825904 + 0.693016i −0.954347 0.298701i \(-0.903447\pi\)
0.128442 + 0.991717i \(0.459002\pi\)
\(948\) −0.128498 + 0.243198i −0.00417343 + 0.00789870i
\(949\) 1.91919 10.8843i 0.0622995 0.353318i
\(950\) −2.21957 + 12.5878i −0.0720125 + 0.408403i
\(951\) 35.0536 31.7283i 1.13669 1.02886i
\(952\) −5.55204 + 7.72847i −0.179943 + 0.250481i
\(953\) −10.8009 18.7078i −0.349877 0.606005i 0.636350 0.771400i \(-0.280443\pi\)
−0.986227 + 0.165395i \(0.947110\pi\)
\(954\) 32.1105 + 9.02658i 1.03962 + 0.292246i
\(955\) −6.32826 10.9609i −0.204778 0.354685i
\(956\) 0.0411719 + 0.233498i 0.00133160 + 0.00755185i
\(957\) 20.3766 + 15.8346i 0.658683 + 0.511859i
\(958\) −5.82320 + 33.0250i −0.188139 + 1.06699i
\(959\) 33.3750 + 16.0573i 1.07773 + 0.518517i
\(960\) 0.848687 6.15514i 0.0273913 0.198656i
\(961\) −57.7780 21.0295i −1.86381 0.678370i
\(962\) 4.33036 + 7.50040i 0.139616 + 0.241823i
\(963\) −29.7166 + 2.23378i −0.957604 + 0.0719826i
\(964\) 3.17962 5.50726i 0.102409 0.177377i
\(965\) 21.8522 + 7.95356i 0.703448 + 0.256034i
\(966\) −17.2802 34.7249i −0.555981 1.11726i
\(967\) −36.0689 30.2654i −1.15990 0.973269i −0.159993 0.987118i \(-0.551147\pi\)
−0.999904 + 0.0138489i \(0.995592\pi\)
\(968\) 4.67110 + 3.91952i 0.150135 + 0.125978i
\(969\) 5.38496 + 8.56794i 0.172990 + 0.275242i
\(970\) −1.92544 0.700804i −0.0618223 0.0225015i
\(971\) 27.4481 + 47.5416i 0.880853 + 1.52568i 0.850395 + 0.526146i \(0.176363\pi\)
0.0304582 + 0.999536i \(0.490303\pi\)
\(972\) 13.6005 + 7.61756i 0.436235 + 0.244333i
\(973\) 47.9713 12.2339i 1.53789 0.392202i
\(974\) 2.69417 + 15.2794i 0.0863268 + 0.489584i
\(975\) 38.7438 1.45412i 1.24080 0.0465693i
\(976\) −0.386180 + 2.19013i −0.0123613 + 0.0701044i
\(977\) 53.8113 19.5857i 1.72158 0.626602i 0.723601 0.690218i \(-0.242486\pi\)
0.997974 + 0.0636160i \(0.0202633\pi\)
\(978\) −4.81192 22.3515i −0.153868 0.714724i
\(979\) −28.8917 10.5157i −0.923381 0.336083i
\(980\) −21.4367 13.0779i −0.684771 0.417757i
\(981\) 14.4360 + 21.1633i 0.460905 + 0.675692i
\(982\) 22.9614 0.732728
\(983\) −1.87437 10.6301i −0.0597831 0.339047i 0.940216 0.340580i \(-0.110623\pi\)
−0.999999 + 0.00153263i \(0.999512\pi\)
\(984\) −14.5998 11.3455i −0.465426 0.361680i
\(985\) 17.6216 6.41375i 0.561472 0.204359i
\(986\) −4.20274 + 23.8349i −0.133842 + 0.759058i
\(987\) 18.4782 13.6514i 0.588168 0.434529i
\(988\) 3.53998 2.97039i 0.112622 0.0945008i
\(989\) −18.4447 −0.586508
\(990\) 5.88502 + 23.0899i 0.187038 + 0.733844i
\(991\) −39.7060 −1.26130 −0.630652 0.776066i \(-0.717212\pi\)
−0.630652 + 0.776066i \(0.717212\pi\)
\(992\) 1.66997 + 9.47086i 0.0530216 + 0.300700i
\(993\) −33.9383 + 30.7188i −1.07700 + 0.974831i
\(994\) −1.45835 19.3639i −0.0462561 0.614185i
\(995\) 45.7872 16.6652i 1.45155 0.528322i
\(996\) −13.4882 21.4609i −0.427390 0.680015i
\(997\) −23.0885 8.40354i −0.731221 0.266143i −0.0505395 0.998722i \(-0.516094\pi\)
−0.680682 + 0.732579i \(0.738316\pi\)
\(998\) −15.4374 + 26.7383i −0.488661 + 0.846386i
\(999\) 15.7193 1.77659i 0.497335 0.0562089i
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 378.2.v.a.67.4 72
7.2 even 3 378.2.w.b.121.12 yes 72
27.25 even 9 378.2.w.b.25.12 yes 72
189.79 even 9 inner 378.2.v.a.79.4 yes 72
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
378.2.v.a.67.4 72 1.1 even 1 trivial
378.2.v.a.79.4 yes 72 189.79 even 9 inner
378.2.w.b.25.12 yes 72 27.25 even 9
378.2.w.b.121.12 yes 72 7.2 even 3