Properties

Label 304.2.x.c.27.16
Level $304$
Weight $2$
Character 304.27
Analytic conductor $2.427$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [304,2,Mod(27,304)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(304, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 3, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("304.27");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 304 = 2^{4} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 304.x (of order \(12\), degree \(4\), 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: \(2.42745222145\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 27.16
Character \(\chi\) \(=\) 304.27
Dual form 304.2.x.c.259.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.500262 + 1.32278i) q^{2} +(0.600884 + 2.24253i) q^{3} +(-1.49948 - 1.32347i) q^{4} +(-2.58651 + 0.693054i) q^{5} +(-3.26696 - 0.327017i) q^{6} -0.348676 q^{7} +(2.50079 - 1.32139i) q^{8} +(-2.06980 + 1.19500i) q^{9} +O(q^{10})\) \(q+(-0.500262 + 1.32278i) q^{2} +(0.600884 + 2.24253i) q^{3} +(-1.49948 - 1.32347i) q^{4} +(-2.58651 + 0.693054i) q^{5} +(-3.26696 - 0.327017i) q^{6} -0.348676 q^{7} +(2.50079 - 1.32139i) q^{8} +(-2.06980 + 1.19500i) q^{9} +(0.377178 - 3.76809i) q^{10} +(-4.10750 + 4.10750i) q^{11} +(2.06691 - 4.15787i) q^{12} +(1.27598 - 4.76202i) q^{13} +(0.174429 - 0.461220i) q^{14} +(-3.10839 - 5.38388i) q^{15} +(0.496856 + 3.96902i) q^{16} +(-0.174068 + 0.301494i) q^{17} +(-0.545275 - 3.33569i) q^{18} +(-4.34880 + 0.296563i) q^{19} +(4.79565 + 2.38395i) q^{20} +(-0.209514 - 0.781915i) q^{21} +(-3.37848 - 7.48813i) q^{22} +(0.141226 + 0.244610i) q^{23} +(4.46594 + 4.81408i) q^{24} +(1.87959 - 1.08518i) q^{25} +(5.66077 + 4.07010i) q^{26} +(1.00141 + 1.00141i) q^{27} +(0.522831 + 0.461462i) q^{28} +(-0.589790 + 2.20112i) q^{29} +(8.67668 - 1.41835i) q^{30} +9.70053 q^{31} +(-5.49869 - 1.32832i) q^{32} +(-11.6793 - 6.74306i) q^{33} +(-0.311730 - 0.381079i) q^{34} +(0.901854 - 0.241651i) q^{35} +(4.68516 + 0.947444i) q^{36} +(-6.27051 + 6.27051i) q^{37} +(1.78325 - 5.90085i) q^{38} +11.4457 q^{39} +(-5.55252 + 5.15097i) q^{40} +(0.498419 - 0.863287i) q^{41} +(1.13911 + 0.114023i) q^{42} +(1.12682 + 4.20535i) q^{43} +(11.5952 - 0.722945i) q^{44} +(4.52536 - 4.52536i) q^{45} +(-0.394215 + 0.0644410i) q^{46} +(-7.97560 + 4.60471i) q^{47} +(-8.60209 + 3.49913i) q^{48} -6.87843 q^{49} +(0.495166 + 3.02916i) q^{50} +(-0.780704 - 0.209189i) q^{51} +(-8.21570 + 5.45182i) q^{52} +(0.478340 + 0.128171i) q^{53} +(-1.82560 + 0.823672i) q^{54} +(7.77738 - 13.4708i) q^{55} +(-0.871963 + 0.460736i) q^{56} +(-3.27817 - 9.57411i) q^{57} +(-2.61655 - 1.88130i) q^{58} +(-7.63298 + 2.04525i) q^{59} +(-2.46446 + 12.1869i) q^{60} +(-3.97051 - 1.06389i) q^{61} +(-4.85280 + 12.8316i) q^{62} +(0.721689 - 0.416667i) q^{63} +(4.50786 - 6.60903i) q^{64} +13.2014i q^{65} +(14.7623 - 12.0758i) q^{66} +(5.11398 + 1.37029i) q^{67} +(0.660029 - 0.221710i) q^{68} +(-0.463685 + 0.463685i) q^{69} +(-0.131513 + 1.31384i) q^{70} +(6.96205 + 4.01954i) q^{71} +(-3.59706 + 5.72345i) q^{72} +(-3.45052 - 1.99216i) q^{73} +(-5.15759 - 11.4314i) q^{74} +(3.56297 + 3.56297i) q^{75} +(6.91341 + 5.31081i) q^{76} +(1.43218 - 1.43218i) q^{77} +(-5.72585 + 15.1401i) q^{78} +(1.75761 - 3.04427i) q^{79} +(-4.03587 - 9.92157i) q^{80} +(-5.22895 + 9.05681i) q^{81} +(0.892596 + 1.09117i) q^{82} +(11.2760 + 11.2760i) q^{83} +(-0.720681 + 1.44975i) q^{84} +(0.241277 - 0.900457i) q^{85} +(-6.12645 - 0.613246i) q^{86} -5.29048 q^{87} +(-4.84437 + 15.6996i) q^{88} +(7.28777 + 12.6228i) q^{89} +(3.72218 + 8.24991i) q^{90} +(-0.444903 + 1.66040i) q^{91} +(0.111970 - 0.553695i) q^{92} +(5.82889 + 21.7537i) q^{93} +(-2.10112 - 12.8535i) q^{94} +(11.0427 - 3.78101i) q^{95} +(-0.325273 - 13.1291i) q^{96} +(13.3401 + 7.70191i) q^{97} +(3.44101 - 9.09862i) q^{98} +(3.59324 - 13.4102i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 6 q^{2} - 12 q^{3} - 2 q^{4} + 2 q^{5} - 2 q^{6} - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 6 q^{2} - 12 q^{3} - 2 q^{4} + 2 q^{5} - 2 q^{6} - 8 q^{7} + 24 q^{10} - 28 q^{11} + 6 q^{13} - 6 q^{14} - 14 q^{16} - 4 q^{17} - 10 q^{19} + 4 q^{20} - 12 q^{21} + 6 q^{22} - 28 q^{23} - 2 q^{24} + 76 q^{26} - 30 q^{28} - 6 q^{29} - 64 q^{30} - 36 q^{32} - 36 q^{33} + 48 q^{34} - 40 q^{35} + 6 q^{36} - 66 q^{38} + 24 q^{39} + 24 q^{40} + 6 q^{42} - 26 q^{43} - 16 q^{44} - 8 q^{45} - 30 q^{48} + 112 q^{49} - 18 q^{51} + 66 q^{52} - 30 q^{53} + 16 q^{54} + 16 q^{55} + 12 q^{58} - 24 q^{59} - 72 q^{60} - 26 q^{61} - 46 q^{62} + 52 q^{64} + 38 q^{66} - 12 q^{67} + 24 q^{68} - 120 q^{70} - 24 q^{71} + 6 q^{72} - 10 q^{74} - 38 q^{76} - 56 q^{77} + 90 q^{78} - 66 q^{80} + 48 q^{81} - 22 q^{82} - 92 q^{83} + 2 q^{85} - 30 q^{86} + 120 q^{87} - 138 q^{90} - 84 q^{91} + 2 q^{92} + 192 q^{96} + 60 q^{97} - 42 q^{98} - 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(191\) \(229\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500262 + 1.32278i −0.353739 + 0.935344i
\(3\) 0.600884 + 2.24253i 0.346920 + 1.29472i 0.890353 + 0.455272i \(0.150458\pi\)
−0.543432 + 0.839453i \(0.682875\pi\)
\(4\) −1.49948 1.32347i −0.749738 0.661735i
\(5\) −2.58651 + 0.693054i −1.15672 + 0.309943i −0.785656 0.618663i \(-0.787675\pi\)
−0.371067 + 0.928606i \(0.621008\pi\)
\(6\) −3.26696 0.327017i −1.33373 0.133504i
\(7\) −0.348676 −0.131787 −0.0658935 0.997827i \(-0.520990\pi\)
−0.0658935 + 0.997827i \(0.520990\pi\)
\(8\) 2.50079 1.32139i 0.884161 0.467182i
\(9\) −2.06980 + 1.19500i −0.689933 + 0.398333i
\(10\) 0.377178 3.76809i 0.119274 1.19157i
\(11\) −4.10750 + 4.10750i −1.23846 + 1.23846i −0.277826 + 0.960631i \(0.589614\pi\)
−0.960631 + 0.277826i \(0.910386\pi\)
\(12\) 2.06691 4.15787i 0.596665 1.20027i
\(13\) 1.27598 4.76202i 0.353893 1.32075i −0.527978 0.849258i \(-0.677050\pi\)
0.881871 0.471490i \(-0.156284\pi\)
\(14\) 0.174429 0.461220i 0.0466182 0.123266i
\(15\) −3.10839 5.38388i −0.802582 1.39011i
\(16\) 0.496856 + 3.96902i 0.124214 + 0.992255i
\(17\) −0.174068 + 0.301494i −0.0422176 + 0.0731231i −0.886362 0.462993i \(-0.846776\pi\)
0.844144 + 0.536116i \(0.180109\pi\)
\(18\) −0.545275 3.33569i −0.128523 0.786231i
\(19\) −4.34880 + 0.296563i −0.997683 + 0.0680362i
\(20\) 4.79565 + 2.38395i 1.07234 + 0.533068i
\(21\) −0.209514 0.781915i −0.0457196 0.170628i
\(22\) −3.37848 7.48813i −0.720294 1.59647i
\(23\) 0.141226 + 0.244610i 0.0294476 + 0.0510048i 0.880374 0.474281i \(-0.157292\pi\)
−0.850926 + 0.525286i \(0.823959\pi\)
\(24\) 4.46594 + 4.81408i 0.911606 + 0.982670i
\(25\) 1.87959 1.08518i 0.375918 0.217037i
\(26\) 5.66077 + 4.07010i 1.11017 + 0.798212i
\(27\) 1.00141 + 1.00141i 0.192721 + 0.192721i
\(28\) 0.522831 + 0.461462i 0.0988057 + 0.0872081i
\(29\) −0.589790 + 2.20112i −0.109521 + 0.408739i −0.998819 0.0485903i \(-0.984527\pi\)
0.889298 + 0.457329i \(0.151194\pi\)
\(30\) 8.67668 1.41835i 1.58414 0.258954i
\(31\) 9.70053 1.74227 0.871133 0.491047i \(-0.163386\pi\)
0.871133 + 0.491047i \(0.163386\pi\)
\(32\) −5.49869 1.32832i −0.972040 0.234816i
\(33\) −11.6793 6.74306i −2.03311 1.17382i
\(34\) −0.311730 0.381079i −0.0534613 0.0653545i
\(35\) 0.901854 0.241651i 0.152441 0.0408465i
\(36\) 4.68516 + 0.947444i 0.780860 + 0.157907i
\(37\) −6.27051 + 6.27051i −1.03087 + 1.03087i −0.0313574 + 0.999508i \(0.509983\pi\)
−0.999508 + 0.0313574i \(0.990017\pi\)
\(38\) 1.78325 5.90085i 0.289282 0.957244i
\(39\) 11.4457 1.83278
\(40\) −5.55252 + 5.15097i −0.877930 + 0.814440i
\(41\) 0.498419 0.863287i 0.0778400 0.134823i −0.824478 0.565894i \(-0.808531\pi\)
0.902318 + 0.431072i \(0.141864\pi\)
\(42\) 1.13911 + 0.114023i 0.175769 + 0.0175941i
\(43\) 1.12682 + 4.20535i 0.171839 + 0.641311i 0.997069 + 0.0765136i \(0.0243789\pi\)
−0.825230 + 0.564797i \(0.808954\pi\)
\(44\) 11.5952 0.722945i 1.74805 0.108988i
\(45\) 4.52536 4.52536i 0.674601 0.674601i
\(46\) −0.394215 + 0.0644410i −0.0581238 + 0.00950130i
\(47\) −7.97560 + 4.60471i −1.16336 + 0.671666i −0.952107 0.305765i \(-0.901088\pi\)
−0.211253 + 0.977431i \(0.567754\pi\)
\(48\) −8.60209 + 3.49913i −1.24161 + 0.505057i
\(49\) −6.87843 −0.982632
\(50\) 0.495166 + 3.02916i 0.0700271 + 0.428387i
\(51\) −0.780704 0.209189i −0.109320 0.0292923i
\(52\) −8.21570 + 5.45182i −1.13931 + 0.756031i
\(53\) 0.478340 + 0.128171i 0.0657051 + 0.0176056i 0.291522 0.956564i \(-0.405838\pi\)
−0.225817 + 0.974170i \(0.572505\pi\)
\(54\) −1.82560 + 0.823672i −0.248433 + 0.112087i
\(55\) 7.77738 13.4708i 1.04870 1.81640i
\(56\) −0.871963 + 0.460736i −0.116521 + 0.0615685i
\(57\) −3.27817 9.57411i −0.434205 1.26812i
\(58\) −2.61655 1.88130i −0.343569 0.247027i
\(59\) −7.63298 + 2.04525i −0.993730 + 0.266269i −0.718816 0.695200i \(-0.755316\pi\)
−0.274913 + 0.961469i \(0.588649\pi\)
\(60\) −2.46446 + 12.1869i −0.318160 + 1.57332i
\(61\) −3.97051 1.06389i −0.508372 0.136218i −0.00448902 0.999990i \(-0.501429\pi\)
−0.503883 + 0.863772i \(0.668096\pi\)
\(62\) −4.85280 + 12.8316i −0.616307 + 1.62962i
\(63\) 0.721689 0.416667i 0.0909242 0.0524951i
\(64\) 4.50786 6.60903i 0.563482 0.826128i
\(65\) 13.2014i 1.63743i
\(66\) 14.7623 12.0758i 1.81711 1.48643i
\(67\) 5.11398 + 1.37029i 0.624772 + 0.167407i 0.557296 0.830314i \(-0.311839\pi\)
0.0674759 + 0.997721i \(0.478505\pi\)
\(68\) 0.660029 0.221710i 0.0800403 0.0268863i
\(69\) −0.463685 + 0.463685i −0.0558211 + 0.0558211i
\(70\) −0.131513 + 1.31384i −0.0157188 + 0.157034i
\(71\) 6.96205 + 4.01954i 0.826243 + 0.477032i 0.852565 0.522622i \(-0.175046\pi\)
−0.0263215 + 0.999654i \(0.508379\pi\)
\(72\) −3.59706 + 5.72345i −0.423918 + 0.674515i
\(73\) −3.45052 1.99216i −0.403853 0.233165i 0.284292 0.958738i \(-0.408241\pi\)
−0.688145 + 0.725573i \(0.741575\pi\)
\(74\) −5.15759 11.4314i −0.599557 1.32887i
\(75\) 3.56297 + 3.56297i 0.411416 + 0.411416i
\(76\) 6.91341 + 5.31081i 0.793023 + 0.609192i
\(77\) 1.43218 1.43218i 0.163213 0.163213i
\(78\) −5.72585 + 15.1401i −0.648324 + 1.71428i
\(79\) 1.75761 3.04427i 0.197747 0.342507i −0.750051 0.661380i \(-0.769971\pi\)
0.947797 + 0.318873i \(0.103304\pi\)
\(80\) −4.03587 9.92157i −0.451224 1.10927i
\(81\) −5.22895 + 9.05681i −0.580995 + 1.00631i
\(82\) 0.892596 + 1.09117i 0.0985707 + 0.120499i
\(83\) 11.2760 + 11.2760i 1.23770 + 1.23770i 0.960938 + 0.276762i \(0.0892614\pi\)
0.276762 + 0.960938i \(0.410739\pi\)
\(84\) −0.720681 + 1.44975i −0.0786327 + 0.158180i
\(85\) 0.241277 0.900457i 0.0261701 0.0976682i
\(86\) −6.12645 0.613246i −0.660632 0.0661280i
\(87\) −5.29048 −0.567199
\(88\) −4.84437 + 15.6996i −0.516411 + 1.67358i
\(89\) 7.28777 + 12.6228i 0.772502 + 1.33801i 0.936188 + 0.351500i \(0.114328\pi\)
−0.163686 + 0.986513i \(0.552338\pi\)
\(90\) 3.72218 + 8.24991i 0.392352 + 0.869617i
\(91\) −0.444903 + 1.66040i −0.0466385 + 0.174057i
\(92\) 0.111970 0.553695i 0.0116736 0.0577267i
\(93\) 5.82889 + 21.7537i 0.604428 + 2.25575i
\(94\) −2.10112 12.8535i −0.216714 1.32574i
\(95\) 11.0427 3.78101i 1.13296 0.387924i
\(96\) −0.325273 13.1291i −0.0331980 1.33999i
\(97\) 13.3401 + 7.70191i 1.35448 + 0.782011i 0.988874 0.148758i \(-0.0475276\pi\)
0.365608 + 0.930769i \(0.380861\pi\)
\(98\) 3.44101 9.09862i 0.347595 0.919099i
\(99\) 3.59324 13.4102i 0.361134 1.34777i
\(100\) −4.25461 0.860377i −0.425461 0.0860377i
\(101\) 2.02816 7.56919i 0.201809 0.753163i −0.788589 0.614921i \(-0.789188\pi\)
0.990398 0.138242i \(-0.0441453\pi\)
\(102\) 0.667267 0.928048i 0.0660693 0.0918904i
\(103\) 0.807944i 0.0796091i 0.999207 + 0.0398045i \(0.0126735\pi\)
−0.999207 + 0.0398045i \(0.987326\pi\)
\(104\) −3.10154 13.5949i −0.304131 1.33309i
\(105\) 1.08382 + 1.87723i 0.105770 + 0.183199i
\(106\) −0.408837 + 0.568618i −0.0397097 + 0.0552291i
\(107\) −2.93765 2.93765i −0.283993 0.283993i 0.550706 0.834699i \(-0.314359\pi\)
−0.834699 + 0.550706i \(0.814359\pi\)
\(108\) −0.176254 2.82692i −0.0169600 0.272020i
\(109\) −7.04211 + 1.88693i −0.674512 + 0.180735i −0.579787 0.814768i \(-0.696864\pi\)
−0.0947256 + 0.995503i \(0.530197\pi\)
\(110\) 13.9281 + 17.0267i 1.32800 + 1.62343i
\(111\) −17.8297 10.2940i −1.69232 0.977059i
\(112\) −0.173242 1.38390i −0.0163698 0.130766i
\(113\) 7.82263i 0.735891i −0.929847 0.367945i \(-0.880061\pi\)
0.929847 0.367945i \(-0.119939\pi\)
\(114\) 14.3044 + 0.453271i 1.33973 + 0.0424527i
\(115\) −0.534810 0.534810i −0.0498713 0.0498713i
\(116\) 3.79750 2.51997i 0.352589 0.233973i
\(117\) 3.04959 + 11.3812i 0.281935 + 1.05220i
\(118\) 1.11308 11.1199i 0.102467 1.02367i
\(119\) 0.0606932 0.105124i 0.00556374 0.00963667i
\(120\) −14.8876 9.35655i −1.35905 0.854132i
\(121\) 22.7431i 2.06755i
\(122\) 3.39359 4.71987i 0.307241 0.427317i
\(123\) 2.23544 + 0.598984i 0.201563 + 0.0540086i
\(124\) −14.5457 12.8384i −1.30624 1.15292i
\(125\) 5.35779 5.35779i 0.479216 0.479216i
\(126\) 0.190124 + 1.16308i 0.0169376 + 0.103615i
\(127\) −6.89176 11.9369i −0.611544 1.05923i −0.990980 0.134008i \(-0.957215\pi\)
0.379436 0.925218i \(-0.376118\pi\)
\(128\) 6.48716 + 9.26913i 0.573389 + 0.819283i
\(129\) −8.75354 + 5.05386i −0.770706 + 0.444967i
\(130\) −17.4624 6.60414i −1.53156 0.579221i
\(131\) 12.0217 3.22122i 1.05034 0.281439i 0.307951 0.951402i \(-0.400357\pi\)
0.742394 + 0.669963i \(0.233690\pi\)
\(132\) 8.58862 + 25.5683i 0.747544 + 2.22543i
\(133\) 1.51632 0.103404i 0.131482 0.00896628i
\(134\) −4.37091 + 6.07915i −0.377589 + 0.525159i
\(135\) −3.28418 1.89612i −0.282657 0.163192i
\(136\) −0.0369147 + 0.983984i −0.00316541 + 0.0843759i
\(137\) −2.29901 + 1.32734i −0.196418 + 0.113402i −0.594984 0.803738i \(-0.702841\pi\)
0.398566 + 0.917140i \(0.369508\pi\)
\(138\) −0.381388 0.845316i −0.0324659 0.0719581i
\(139\) 1.19091 + 0.319103i 0.101012 + 0.0270660i 0.308971 0.951072i \(-0.400015\pi\)
−0.207959 + 0.978137i \(0.566682\pi\)
\(140\) −1.67213 0.831226i −0.141320 0.0702514i
\(141\) −15.1186 15.1186i −1.27322 1.27322i
\(142\) −8.79980 + 7.19841i −0.738463 + 0.604077i
\(143\) 14.3189 + 24.8011i 1.19741 + 2.07397i
\(144\) −5.77137 7.62134i −0.480947 0.635111i
\(145\) 6.10199i 0.506743i
\(146\) 4.36135 3.56767i 0.360947 0.295262i
\(147\) −4.13313 15.4251i −0.340895 1.27224i
\(148\) 17.7013 1.10365i 1.45504 0.0907194i
\(149\) 11.4398 3.06529i 0.937188 0.251119i 0.242271 0.970209i \(-0.422108\pi\)
0.694917 + 0.719090i \(0.255441\pi\)
\(150\) −6.49543 + 2.93060i −0.530350 + 0.239282i
\(151\) 2.53103i 0.205972i −0.994683 0.102986i \(-0.967160\pi\)
0.994683 0.102986i \(-0.0328397\pi\)
\(152\) −10.4835 + 6.48810i −0.850327 + 0.526254i
\(153\) 0.832043i 0.0672667i
\(154\) 1.17799 + 2.61093i 0.0949254 + 0.210395i
\(155\) −25.0905 + 6.72299i −2.01532 + 0.540003i
\(156\) −17.1625 15.1480i −1.37410 1.21281i
\(157\) −0.795438 2.96862i −0.0634829 0.236921i 0.926893 0.375326i \(-0.122469\pi\)
−0.990376 + 0.138405i \(0.955803\pi\)
\(158\) 3.14762 + 3.84786i 0.250412 + 0.306119i
\(159\) 1.14971i 0.0911777i
\(160\) 15.1430 0.375167i 1.19716 0.0296595i
\(161\) −0.0492420 0.0852896i −0.00388081 0.00672176i
\(162\) −9.36429 11.4475i −0.735728 0.899402i
\(163\) 15.4506 + 15.4506i 1.21018 + 1.21018i 0.970967 + 0.239214i \(0.0768898\pi\)
0.239214 + 0.970967i \(0.423110\pi\)
\(164\) −1.88990 + 0.634836i −0.147577 + 0.0495723i
\(165\) 34.8820 + 9.34660i 2.71556 + 0.727632i
\(166\) −20.5566 + 9.27467i −1.59550 + 0.719854i
\(167\) −18.6570 + 10.7716i −1.44372 + 0.833535i −0.998096 0.0616835i \(-0.980353\pi\)
−0.445628 + 0.895218i \(0.647020\pi\)
\(168\) −1.55716 1.67855i −0.120138 0.129503i
\(169\) −9.79042 5.65250i −0.753109 0.434808i
\(170\) 1.07040 + 0.769619i 0.0820961 + 0.0590271i
\(171\) 8.64675 5.81064i 0.661233 0.444350i
\(172\) 3.87602 7.79714i 0.295544 0.594526i
\(173\) 5.57525 1.49388i 0.423878 0.113578i −0.0405728 0.999177i \(-0.512918\pi\)
0.464451 + 0.885599i \(0.346252\pi\)
\(174\) 2.64663 6.99813i 0.200640 0.530527i
\(175\) −0.655368 + 0.378377i −0.0495412 + 0.0286026i
\(176\) −18.3436 14.2619i −1.38270 1.07503i
\(177\) −9.17307 15.8882i −0.689490 1.19423i
\(178\) −20.3429 + 3.32539i −1.52477 + 0.249249i
\(179\) 9.47584 9.47584i 0.708258 0.708258i −0.257911 0.966169i \(-0.583034\pi\)
0.966169 + 0.257911i \(0.0830341\pi\)
\(180\) −12.7748 + 0.796491i −0.952181 + 0.0593670i
\(181\) 23.8491 + 6.39035i 1.77269 + 0.474991i 0.989220 0.146437i \(-0.0467807\pi\)
0.783471 + 0.621429i \(0.213447\pi\)
\(182\) −1.97377 1.41914i −0.146306 0.105194i
\(183\) 9.54326i 0.705458i
\(184\) 0.676401 + 0.425103i 0.0498649 + 0.0313390i
\(185\) 11.8729 20.5645i 0.872917 1.51194i
\(186\) −31.6913 3.17224i −2.32372 0.232600i
\(187\) −0.523404 1.95337i −0.0382751 0.142845i
\(188\) 18.0534 + 3.65080i 1.31668 + 0.266262i
\(189\) −0.349166 0.349166i −0.0253981 0.0253981i
\(190\) −0.522798 + 16.4985i −0.0379278 + 1.19693i
\(191\) 12.8056i 0.926580i −0.886207 0.463290i \(-0.846669\pi\)
0.886207 0.463290i \(-0.153331\pi\)
\(192\) 17.5296 + 6.13774i 1.26509 + 0.442953i
\(193\) −13.9578 8.05853i −1.00470 0.580065i −0.0950664 0.995471i \(-0.530306\pi\)
−0.909636 + 0.415406i \(0.863640\pi\)
\(194\) −16.8615 + 13.7930i −1.21058 + 0.990280i
\(195\) −29.6044 + 7.93248i −2.12002 + 0.568057i
\(196\) 10.3140 + 9.10339i 0.736717 + 0.650242i
\(197\) −10.0362 10.0362i −0.715052 0.715052i 0.252535 0.967588i \(-0.418736\pi\)
−0.967588 + 0.252535i \(0.918736\pi\)
\(198\) 15.9411 + 11.4616i 1.13288 + 0.814544i
\(199\) 12.2079 + 21.1446i 0.865392 + 1.49890i 0.866657 + 0.498904i \(0.166264\pi\)
−0.00126480 + 0.999999i \(0.500403\pi\)
\(200\) 3.26651 5.19748i 0.230977 0.367518i
\(201\) 12.2916i 0.866985i
\(202\) 8.99774 + 6.46938i 0.633079 + 0.455184i
\(203\) 0.205645 0.767479i 0.0144335 0.0538664i
\(204\) 0.893792 + 1.34691i 0.0625779 + 0.0943027i
\(205\) −0.690862 + 2.57833i −0.0482519 + 0.180079i
\(206\) −1.06873 0.404184i −0.0744619 0.0281608i
\(207\) −0.584618 0.337529i −0.0406338 0.0234599i
\(208\) 19.5346 + 2.69836i 1.35448 + 0.187097i
\(209\) 16.6446 19.0808i 1.15133 1.31985i
\(210\) −3.02535 + 0.494544i −0.208769 + 0.0341267i
\(211\) −0.996349 3.71843i −0.0685915 0.255987i 0.923112 0.384530i \(-0.125637\pi\)
−0.991704 + 0.128543i \(0.958970\pi\)
\(212\) −0.547629 0.825258i −0.0376113 0.0566789i
\(213\) −4.83055 + 18.0279i −0.330984 + 1.23525i
\(214\) 5.35545 2.41626i 0.366091 0.165172i
\(215\) −5.82907 10.0963i −0.397539 0.688559i
\(216\) 3.82755 + 1.18105i 0.260432 + 0.0803606i
\(217\) −3.38234 −0.229608
\(218\) 1.02692 10.2591i 0.0695516 0.694834i
\(219\) 2.39411 8.93495i 0.161779 0.603768i
\(220\) −29.4902 + 9.90603i −1.98823 + 0.667865i
\(221\) 1.21362 + 1.21362i 0.0816366 + 0.0816366i
\(222\) 22.5361 18.4350i 1.51252 1.23727i
\(223\) 1.97672 3.42378i 0.132371 0.229273i −0.792219 0.610237i \(-0.791074\pi\)
0.924590 + 0.380963i \(0.124408\pi\)
\(224\) 1.91726 + 0.463153i 0.128102 + 0.0309457i
\(225\) −2.59359 + 4.49222i −0.172906 + 0.299481i
\(226\) 10.3476 + 3.91336i 0.688311 + 0.260313i
\(227\) −18.0458 + 18.0458i −1.19774 + 1.19774i −0.222903 + 0.974841i \(0.571553\pi\)
−0.974841 + 0.222903i \(0.928447\pi\)
\(228\) −7.75550 + 18.6947i −0.513620 + 1.23809i
\(229\) 1.63187 + 1.63187i 0.107837 + 0.107837i 0.758966 0.651130i \(-0.225705\pi\)
−0.651130 + 0.758966i \(0.725705\pi\)
\(230\) 0.974980 0.439889i 0.0642882 0.0290054i
\(231\) 4.07229 + 2.35114i 0.267937 + 0.154694i
\(232\) 1.43361 + 6.28388i 0.0941209 + 0.412557i
\(233\) 9.69224 + 5.59582i 0.634960 + 0.366594i 0.782670 0.622436i \(-0.213857\pi\)
−0.147710 + 0.989031i \(0.547190\pi\)
\(234\) −16.5804 1.65967i −1.08390 0.108496i
\(235\) 17.4377 17.4377i 1.13751 1.13751i
\(236\) 14.1523 + 7.03522i 0.921236 + 0.457954i
\(237\) 7.88299 + 2.11224i 0.512055 + 0.137205i
\(238\) 0.108693 + 0.132873i 0.00704550 + 0.00861287i
\(239\) 11.5011i 0.743945i −0.928244 0.371973i \(-0.878682\pi\)
0.928244 0.371973i \(-0.121318\pi\)
\(240\) 19.8243 15.0123i 1.27965 0.969038i
\(241\) 6.55312 3.78345i 0.422124 0.243713i −0.273862 0.961769i \(-0.588301\pi\)
0.695985 + 0.718056i \(0.254968\pi\)
\(242\) 30.0840 + 11.3775i 1.93387 + 0.731374i
\(243\) −19.3483 5.18436i −1.24119 0.332577i
\(244\) 4.54565 + 6.85013i 0.291005 + 0.438535i
\(245\) 17.7911 4.76712i 1.13663 0.304560i
\(246\) −1.91063 + 2.65734i −0.121817 + 0.169426i
\(247\) −4.13674 + 21.0875i −0.263215 + 1.34177i
\(248\) 24.2589 12.8182i 1.54044 0.813955i
\(249\) −18.5112 + 32.0623i −1.17310 + 2.03187i
\(250\) 4.40686 + 9.76746i 0.278714 + 0.617749i
\(251\) 3.66238 + 0.981331i 0.231167 + 0.0619411i 0.372543 0.928015i \(-0.378486\pi\)
−0.141376 + 0.989956i \(0.545153\pi\)
\(252\) −1.63360 0.330351i −0.102907 0.0208101i
\(253\) −1.58482 0.424652i −0.0996368 0.0266976i
\(254\) 19.2375 3.14469i 1.20707 0.197315i
\(255\) 2.16428 0.135532
\(256\) −15.5063 + 3.94406i −0.969142 + 0.246504i
\(257\) −12.3944 + 7.15593i −0.773143 + 0.446375i −0.833995 0.551772i \(-0.813952\pi\)
0.0608514 + 0.998147i \(0.480618\pi\)
\(258\) −2.30606 14.1072i −0.143569 0.878278i
\(259\) 2.18637 2.18637i 0.135855 0.135855i
\(260\) 17.4716 19.7951i 1.08354 1.22764i
\(261\) −1.40960 5.26068i −0.0872518 0.325628i
\(262\) −1.75307 + 17.5135i −0.108305 + 1.08199i
\(263\) −5.81850 + 10.0779i −0.358784 + 0.621432i −0.987758 0.155994i \(-0.950142\pi\)
0.628974 + 0.777426i \(0.283475\pi\)
\(264\) −38.1177 1.43001i −2.34598 0.0880108i
\(265\) −1.32606 −0.0814593
\(266\) −0.621777 + 2.05748i −0.0381236 + 0.126152i
\(267\) −23.9279 + 23.9279i −1.46436 + 1.46436i
\(268\) −5.85476 8.82291i −0.357636 0.538945i
\(269\) 2.24703 0.602090i 0.137004 0.0367101i −0.189665 0.981849i \(-0.560740\pi\)
0.326669 + 0.945139i \(0.394074\pi\)
\(270\) 4.15109 3.39568i 0.252628 0.206654i
\(271\) −4.85004 2.80017i −0.294619 0.170098i 0.345404 0.938454i \(-0.387742\pi\)
−0.640023 + 0.768356i \(0.721075\pi\)
\(272\) −1.28312 0.541080i −0.0778008 0.0328078i
\(273\) −3.99083 −0.241536
\(274\) −0.605660 3.70510i −0.0365893 0.223833i
\(275\) −3.26303 + 12.1778i −0.196768 + 0.734350i
\(276\) 1.30896 0.0816115i 0.0787900 0.00491243i
\(277\) −18.9781 18.9781i −1.14028 1.14028i −0.988398 0.151886i \(-0.951465\pi\)
−0.151886 0.988398i \(-0.548535\pi\)
\(278\) −1.01787 + 1.41567i −0.0610477 + 0.0849063i
\(279\) −20.0781 + 11.5921i −1.20205 + 0.694002i
\(280\) 1.93603 1.79602i 0.115700 0.107333i
\(281\) −7.18647 12.4473i −0.428709 0.742545i 0.568050 0.822994i \(-0.307698\pi\)
−0.996759 + 0.0804489i \(0.974365\pi\)
\(282\) 27.5618 12.4353i 1.64128 0.740510i
\(283\) 6.23406 + 23.2658i 0.370576 + 1.38301i 0.859702 + 0.510796i \(0.170649\pi\)
−0.489125 + 0.872213i \(0.662684\pi\)
\(284\) −5.11968 15.2413i −0.303797 0.904403i
\(285\) 15.1144 + 22.4916i 0.895300 + 1.33229i
\(286\) −39.9695 + 6.53369i −2.36345 + 0.386345i
\(287\) −0.173787 + 0.301007i −0.0102583 + 0.0177679i
\(288\) 12.9685 3.82157i 0.764177 0.225188i
\(289\) 8.43940 + 14.6175i 0.496435 + 0.859851i
\(290\) 8.07157 + 3.05259i 0.473979 + 0.179255i
\(291\) −9.25591 + 34.5435i −0.542591 + 2.02498i
\(292\) 2.53741 + 7.55385i 0.148491 + 0.442056i
\(293\) −6.08666 + 6.08666i −0.355587 + 0.355587i −0.862183 0.506597i \(-0.830903\pi\)
0.506597 + 0.862183i \(0.330903\pi\)
\(294\) 22.4716 + 2.24936i 1.31057 + 0.131185i
\(295\) 18.3253 10.5801i 1.06694 0.615999i
\(296\) −7.39541 + 23.9670i −0.429850 + 1.39305i
\(297\) −8.22655 −0.477353
\(298\) −1.66821 + 16.6658i −0.0966371 + 0.965424i
\(299\) 1.34504 0.360403i 0.0777857 0.0208426i
\(300\) −0.627105 10.0581i −0.0362059 0.580703i
\(301\) −0.392895 1.46630i −0.0226461 0.0845164i
\(302\) 3.34799 + 1.26618i 0.192655 + 0.0728604i
\(303\) 18.1928 1.04515
\(304\) −3.33779 17.1131i −0.191435 0.981505i
\(305\) 11.0071 0.630265
\(306\) 1.10061 + 0.416240i 0.0629175 + 0.0237948i
\(307\) −4.07920 15.2238i −0.232812 0.868867i −0.979123 0.203269i \(-0.934843\pi\)
0.746311 0.665598i \(-0.231823\pi\)
\(308\) −4.04298 + 0.252073i −0.230370 + 0.0143632i
\(309\) −1.81184 + 0.485480i −0.103072 + 0.0276180i
\(310\) 3.65883 36.5524i 0.207807 2.07604i
\(311\) −23.1133 −1.31063 −0.655317 0.755354i \(-0.727465\pi\)
−0.655317 + 0.755354i \(0.727465\pi\)
\(312\) 28.6232 15.1242i 1.62047 0.856241i
\(313\) 3.77465 2.17930i 0.213356 0.123181i −0.389514 0.921020i \(-0.627357\pi\)
0.602870 + 0.797839i \(0.294024\pi\)
\(314\) 4.32474 + 0.432899i 0.244059 + 0.0244299i
\(315\) −1.57788 + 1.57788i −0.0889036 + 0.0889036i
\(316\) −6.66450 + 2.23867i −0.374907 + 0.125935i
\(317\) −1.08791 + 4.06014i −0.0611032 + 0.228040i −0.989724 0.142989i \(-0.954328\pi\)
0.928621 + 0.371030i \(0.120995\pi\)
\(318\) −1.52081 0.575155i −0.0852826 0.0322531i
\(319\) −6.61856 11.4637i −0.370568 0.641843i
\(320\) −7.07921 + 20.2185i −0.395740 + 1.13025i
\(321\) 4.82258 8.35295i 0.269170 0.466216i
\(322\) 0.137453 0.0224690i 0.00765996 0.00125215i
\(323\) 0.667574 1.36276i 0.0371448 0.0758260i
\(324\) 19.8271 6.66011i 1.10151 0.370006i
\(325\) −2.76934 10.3353i −0.153616 0.573301i
\(326\) −28.1670 + 12.7083i −1.56002 + 0.703848i
\(327\) −8.46298 14.6583i −0.468004 0.810607i
\(328\) 0.105700 2.81750i 0.00583632 0.155571i
\(329\) 2.78090 1.60555i 0.153316 0.0885169i
\(330\) −29.8136 + 41.4653i −1.64118 + 2.28259i
\(331\) −3.51443 3.51443i −0.193171 0.193171i 0.603894 0.797065i \(-0.293615\pi\)
−0.797065 + 0.603894i \(0.793615\pi\)
\(332\) −1.98464 31.8315i −0.108921 1.74698i
\(333\) 5.48544 20.4720i 0.300600 1.12186i
\(334\) −4.91507 30.0677i −0.268941 1.64523i
\(335\) −14.1771 −0.774575
\(336\) 2.99934 1.22006i 0.163627 0.0665599i
\(337\) 22.7180 + 13.1162i 1.23753 + 0.714487i 0.968588 0.248670i \(-0.0799933\pi\)
0.268940 + 0.963157i \(0.413327\pi\)
\(338\) 12.3748 10.1228i 0.673099 0.550608i
\(339\) 17.5425 4.70049i 0.952776 0.255296i
\(340\) −1.55352 + 1.03089i −0.0842512 + 0.0559079i
\(341\) −39.8449 + 39.8449i −2.15772 + 2.15772i
\(342\) 3.36053 + 14.3446i 0.181717 + 0.775665i
\(343\) 4.83907 0.261285
\(344\) 8.37485 + 9.02772i 0.451542 + 0.486742i
\(345\) 0.877969 1.52069i 0.0472682 0.0818710i
\(346\) −0.813011 + 8.12215i −0.0437078 + 0.436649i
\(347\) −3.07793 11.4870i −0.165232 0.616654i −0.998011 0.0630476i \(-0.979918\pi\)
0.832779 0.553606i \(-0.186749\pi\)
\(348\) 7.93295 + 7.00179i 0.425251 + 0.375335i
\(349\) −19.3117 + 19.3117i −1.03373 + 1.03373i −0.0343202 + 0.999411i \(0.510927\pi\)
−0.999411 + 0.0343202i \(0.989073\pi\)
\(350\) −0.172652 1.05619i −0.00922866 0.0564559i
\(351\) 6.04650 3.49095i 0.322738 0.186333i
\(352\) 28.0419 17.1298i 1.49464 0.913020i
\(353\) 8.87956 0.472611 0.236306 0.971679i \(-0.424063\pi\)
0.236306 + 0.971679i \(0.424063\pi\)
\(354\) 25.6055 4.18565i 1.36092 0.222465i
\(355\) −20.7932 5.57151i −1.10359 0.295705i
\(356\) 5.77804 28.5727i 0.306236 1.51435i
\(357\) 0.272213 + 0.0729391i 0.0144070 + 0.00386035i
\(358\) 7.79402 + 17.2748i 0.411927 + 0.913003i
\(359\) −4.04682 + 7.00930i −0.213583 + 0.369937i −0.952833 0.303494i \(-0.901847\pi\)
0.739250 + 0.673431i \(0.235180\pi\)
\(360\) 5.33719 17.2967i 0.281295 0.911617i
\(361\) 18.8241 2.57938i 0.990742 0.135757i
\(362\) −20.3838 + 28.3502i −1.07135 + 1.49005i
\(363\) 51.0021 13.6660i 2.67691 0.717277i
\(364\) 2.86461 1.90092i 0.150147 0.0996351i
\(365\) 10.3055 + 2.76135i 0.539414 + 0.144535i
\(366\) 12.6236 + 4.77413i 0.659846 + 0.249548i
\(367\) −10.1552 + 5.86309i −0.530095 + 0.306051i −0.741055 0.671444i \(-0.765674\pi\)
0.210960 + 0.977495i \(0.432341\pi\)
\(368\) −0.900695 + 0.682064i −0.0469519 + 0.0355551i
\(369\) 2.38244i 0.124025i
\(370\) 21.2627 + 25.9929i 1.10540 + 1.35131i
\(371\) −0.166786 0.0446901i −0.00865907 0.00232019i
\(372\) 20.0501 40.3335i 1.03955 2.09120i
\(373\) −17.1683 + 17.1683i −0.888941 + 0.888941i −0.994421 0.105480i \(-0.966362\pi\)
0.105480 + 0.994421i \(0.466362\pi\)
\(374\) 2.84571 + 0.284850i 0.147148 + 0.0147293i
\(375\) 15.2344 + 8.79560i 0.786702 + 0.454203i
\(376\) −13.8606 + 22.0543i −0.714808 + 1.13736i
\(377\) 9.72925 + 5.61719i 0.501082 + 0.289300i
\(378\) 0.636543 0.287194i 0.0327402 0.0147717i
\(379\) −15.4511 15.4511i −0.793669 0.793669i 0.188420 0.982089i \(-0.439663\pi\)
−0.982089 + 0.188420i \(0.939663\pi\)
\(380\) −21.5623 8.94512i −1.10612 0.458875i
\(381\) 22.6276 22.6276i 1.15925 1.15925i
\(382\) 16.9389 + 6.40615i 0.866671 + 0.327767i
\(383\) −13.4453 + 23.2879i −0.687022 + 1.18996i 0.285775 + 0.958297i \(0.407749\pi\)
−0.972797 + 0.231660i \(0.925584\pi\)
\(384\) −16.8883 + 20.1173i −0.861826 + 1.02661i
\(385\) −2.71178 + 4.69694i −0.138205 + 0.239378i
\(386\) 17.6422 14.4316i 0.897963 0.734551i
\(387\) −7.35769 7.35769i −0.374012 0.374012i
\(388\) −9.80991 29.2040i −0.498023 1.48261i
\(389\) 2.68010 10.0023i 0.135887 0.507136i −0.864106 0.503310i \(-0.832115\pi\)
0.999993 0.00382613i \(-0.00121790\pi\)
\(390\) 4.31707 43.1284i 0.218603 2.18389i
\(391\) −0.0983314 −0.00497283
\(392\) −17.2015 + 9.08908i −0.868805 + 0.459068i
\(393\) 14.4473 + 25.0235i 0.728772 + 1.26227i
\(394\) 18.2965 8.25495i 0.921762 0.415879i
\(395\) −2.43624 + 9.09216i −0.122580 + 0.457476i
\(396\) −23.1359 + 15.3527i −1.16262 + 0.771500i
\(397\) −4.39757 16.4120i −0.220708 0.823693i −0.984079 0.177733i \(-0.943124\pi\)
0.763371 0.645960i \(-0.223543\pi\)
\(398\) −34.0768 + 5.57042i −1.70811 + 0.279220i
\(399\) 1.14302 + 3.33826i 0.0572225 + 0.167122i
\(400\) 5.24100 + 6.92096i 0.262050 + 0.346048i
\(401\) 16.6262 + 9.59915i 0.830273 + 0.479359i 0.853946 0.520361i \(-0.174203\pi\)
−0.0236729 + 0.999720i \(0.507536\pi\)
\(402\) −16.2591 6.14904i −0.810929 0.306686i
\(403\) 12.3777 46.1941i 0.616576 2.30109i
\(404\) −13.0588 + 8.66561i −0.649698 + 0.431130i
\(405\) 7.24789 27.0495i 0.360150 1.34410i
\(406\) 0.912326 + 0.655963i 0.0452780 + 0.0325549i
\(407\) 51.5122i 2.55337i
\(408\) −2.22879 + 0.508478i −0.110342 + 0.0251734i
\(409\) 17.5231 + 30.3509i 0.866462 + 1.50076i 0.865588 + 0.500756i \(0.166945\pi\)
0.000873200 1.00000i \(0.499722\pi\)
\(410\) −3.06495 2.20370i −0.151367 0.108833i
\(411\) −4.35803 4.35803i −0.214966 0.214966i
\(412\) 1.06929 1.21149i 0.0526801 0.0596859i
\(413\) 2.66143 0.713129i 0.130961 0.0350908i
\(414\) 0.738938 0.604466i 0.0363168 0.0297079i
\(415\) −36.9803 21.3506i −1.81529 1.04806i
\(416\) −13.3417 + 24.4900i −0.654132 + 1.20072i
\(417\) 2.86239i 0.140172i
\(418\) 16.9130 + 31.5624i 0.827243 + 1.54377i
\(419\) −7.43961 7.43961i −0.363449 0.363449i 0.501632 0.865081i \(-0.332733\pi\)
−0.865081 + 0.501632i \(0.832733\pi\)
\(420\) 0.859296 4.24926i 0.0419293 0.207343i
\(421\) −2.55701 9.54288i −0.124621 0.465091i 0.875205 0.483752i \(-0.160726\pi\)
−0.999826 + 0.0186608i \(0.994060\pi\)
\(422\) 5.41708 + 0.542240i 0.263700 + 0.0263958i
\(423\) 11.0053 19.0617i 0.535094 0.926810i
\(424\) 1.36559 0.311546i 0.0663189 0.0151300i
\(425\) 0.755582i 0.0366511i
\(426\) −21.4303 15.4084i −1.03830 0.746540i
\(427\) 1.38442 + 0.370954i 0.0669968 + 0.0179517i
\(428\) 0.517044 + 8.29282i 0.0249923 + 0.400849i
\(429\) −47.0132 + 47.0132i −2.26982 + 2.26982i
\(430\) 16.2711 2.65979i 0.784664 0.128267i
\(431\) −1.24639 2.15881i −0.0600364 0.103986i 0.834445 0.551091i \(-0.185788\pi\)
−0.894481 + 0.447105i \(0.852455\pi\)
\(432\) −3.47705 + 4.47216i −0.167290 + 0.215167i
\(433\) 0.145908 0.0842398i 0.00701187 0.00404831i −0.496490 0.868042i \(-0.665378\pi\)
0.503502 + 0.863994i \(0.332045\pi\)
\(434\) 1.69205 4.47408i 0.0812212 0.214763i
\(435\) 13.6839 3.66659i 0.656092 0.175799i
\(436\) 13.0568 + 6.49062i 0.625306 + 0.310844i
\(437\) −0.686705 1.02188i −0.0328495 0.0488831i
\(438\) 10.6213 + 7.63669i 0.507503 + 0.364895i
\(439\) 14.5016 + 8.37253i 0.692126 + 0.399599i 0.804408 0.594077i \(-0.202483\pi\)
−0.112282 + 0.993676i \(0.535816\pi\)
\(440\) 1.64936 43.9646i 0.0786299 2.09593i
\(441\) 14.2370 8.21971i 0.677950 0.391415i
\(442\) −2.21247 + 0.998217i −0.105236 + 0.0474803i
\(443\) −29.6874 7.95471i −1.41049 0.377940i −0.528390 0.849002i \(-0.677204\pi\)
−0.882100 + 0.471062i \(0.843871\pi\)
\(444\) 13.1114 + 39.0325i 0.622239 + 1.85240i
\(445\) −27.5982 27.5982i −1.30828 1.30828i
\(446\) 3.54002 + 4.32755i 0.167625 + 0.204915i
\(447\) 13.7480 + 23.8123i 0.650259 + 1.12628i
\(448\) −1.57178 + 2.30441i −0.0742596 + 0.108873i
\(449\) 14.9983i 0.707814i 0.935281 + 0.353907i \(0.115147\pi\)
−0.935281 + 0.353907i \(0.884853\pi\)
\(450\) −4.64473 5.67802i −0.218955 0.267665i
\(451\) 1.49870 + 5.59321i 0.0705708 + 0.263374i
\(452\) −10.3530 + 11.7298i −0.486965 + 0.551725i
\(453\) 5.67591 1.52086i 0.266677 0.0714560i
\(454\) −14.8430 32.8982i −0.696615 1.54399i
\(455\) 4.60299i 0.215792i
\(456\) −20.8491 19.6110i −0.976350 0.918371i
\(457\) 22.2575i 1.04116i −0.853812 0.520582i \(-0.825715\pi\)
0.853812 0.520582i \(-0.174285\pi\)
\(458\) −2.97495 + 1.34223i −0.139011 + 0.0627185i
\(459\) −0.476231 + 0.127606i −0.0222286 + 0.00595612i
\(460\) 0.0941299 + 1.50974i 0.00438883 + 0.0703920i
\(461\) −2.99015 11.1594i −0.139265 0.519744i −0.999944 0.0105959i \(-0.996627\pi\)
0.860679 0.509148i \(-0.170040\pi\)
\(462\) −5.14725 + 4.21055i −0.239472 + 0.195892i
\(463\) 30.0459i 1.39635i 0.715927 + 0.698175i \(0.246004\pi\)
−0.715927 + 0.698175i \(0.753996\pi\)
\(464\) −9.02935 1.24725i −0.419177 0.0579020i
\(465\) −30.1530 52.2265i −1.39831 2.42195i
\(466\) −12.2507 + 10.0213i −0.567502 + 0.464228i
\(467\) 4.37255 + 4.37255i 0.202338 + 0.202338i 0.801001 0.598663i \(-0.204301\pi\)
−0.598663 + 0.801001i \(0.704301\pi\)
\(468\) 10.4899 21.1019i 0.484897 0.975437i
\(469\) −1.78312 0.477786i −0.0823368 0.0220621i
\(470\) 14.3427 + 31.7895i 0.661581 + 1.46634i
\(471\) 6.17924 3.56759i 0.284724 0.164386i
\(472\) −16.3859 + 15.2009i −0.754221 + 0.699677i
\(473\) −21.9019 12.6451i −1.00705 0.581421i
\(474\) −6.73758 + 9.37076i −0.309467 + 0.430413i
\(475\) −7.85214 + 5.27666i −0.360281 + 0.242110i
\(476\) −0.230136 + 0.0773048i −0.0105483 + 0.00354326i
\(477\) −1.14323 + 0.306328i −0.0523450 + 0.0140258i
\(478\) 15.2134 + 5.75357i 0.695845 + 0.263162i
\(479\) 20.6387 11.9158i 0.943007 0.544446i 0.0521056 0.998642i \(-0.483407\pi\)
0.890902 + 0.454196i \(0.150073\pi\)
\(480\) 9.94052 + 33.7332i 0.453720 + 1.53970i
\(481\) 21.8593 + 37.8614i 0.996697 + 1.72633i
\(482\) 1.72638 + 10.5610i 0.0786343 + 0.481042i
\(483\) 0.161676 0.161676i 0.00735650 0.00735650i
\(484\) −30.0998 + 34.1027i −1.36817 + 1.55012i
\(485\) −39.8422 10.6757i −1.80914 0.484757i
\(486\) 16.5370 23.0000i 0.750133 1.04330i
\(487\) 12.7841i 0.579303i 0.957132 + 0.289652i \(0.0935394\pi\)
−0.957132 + 0.289652i \(0.906461\pi\)
\(488\) −11.3352 + 2.58602i −0.513121 + 0.117064i
\(489\) −25.3643 + 43.9323i −1.14701 + 1.98669i
\(490\) −2.59439 + 25.9185i −0.117203 + 1.17088i
\(491\) 4.37762 + 16.3375i 0.197559 + 0.737301i 0.991590 + 0.129423i \(0.0413124\pi\)
−0.794030 + 0.607878i \(0.792021\pi\)
\(492\) −2.55925 3.85670i −0.115380 0.173873i
\(493\) −0.560963 0.560963i −0.0252645 0.0252645i
\(494\) −25.8246 16.0213i −1.16190 0.720831i
\(495\) 37.1758i 1.67093i
\(496\) 4.81976 + 38.5016i 0.216414 + 1.72877i
\(497\) −2.42750 1.40152i −0.108888 0.0628666i
\(498\) −33.1508 40.5257i −1.48552 1.81600i
\(499\) −27.7220 + 7.42809i −1.24101 + 0.332527i −0.818857 0.573998i \(-0.805392\pi\)
−0.422151 + 0.906525i \(0.638725\pi\)
\(500\) −15.1248 + 0.943005i −0.676400 + 0.0421725i
\(501\) −35.3664 35.3664i −1.58006 1.58006i
\(502\) −3.13023 + 4.35359i −0.139709 + 0.194310i
\(503\) −3.92020 6.78998i −0.174793 0.302750i 0.765297 0.643678i \(-0.222592\pi\)
−0.940090 + 0.340928i \(0.889259\pi\)
\(504\) 1.25421 1.99563i 0.0558669 0.0888923i
\(505\) 20.9834i 0.933750i
\(506\) 1.35454 1.88393i 0.0602169 0.0837508i
\(507\) 6.79299 25.3518i 0.301687 1.12591i
\(508\) −5.46407 + 27.0201i −0.242429 + 1.19882i
\(509\) 9.02508 33.6820i 0.400029 1.49293i −0.413013 0.910725i \(-0.635523\pi\)
0.813042 0.582205i \(-0.197810\pi\)
\(510\) −1.08271 + 2.86286i −0.0479431 + 0.126770i
\(511\) 1.20311 + 0.694617i 0.0532226 + 0.0307281i
\(512\) 2.54008 22.4844i 0.112257 0.993679i
\(513\) −4.65190 4.05794i −0.205386 0.179162i
\(514\) −3.26523 19.9749i −0.144023 0.881055i
\(515\) −0.559948 2.08976i −0.0246743 0.0920857i
\(516\) 19.8144 + 4.00691i 0.872278 + 0.176394i
\(517\) 13.8459 51.6736i 0.608942 2.27260i
\(518\) 1.79832 + 3.98584i 0.0790139 + 0.175128i
\(519\) 6.70016 + 11.6050i 0.294104 + 0.509403i
\(520\) 17.4441 + 33.0138i 0.764976 + 1.44775i
\(521\) −42.7327 −1.87216 −0.936078 0.351794i \(-0.885572\pi\)
−0.936078 + 0.351794i \(0.885572\pi\)
\(522\) 7.66388 + 0.767140i 0.335439 + 0.0335768i
\(523\) −1.03412 + 3.85937i −0.0452187 + 0.168759i −0.984843 0.173450i \(-0.944508\pi\)
0.939624 + 0.342209i \(0.111175\pi\)
\(524\) −22.2895 11.0803i −0.973721 0.484044i
\(525\) −1.24232 1.24232i −0.0542193 0.0542193i
\(526\) −10.4201 12.7382i −0.454337 0.555411i
\(527\) −1.68855 + 2.92465i −0.0735544 + 0.127400i
\(528\) 20.9604 49.7058i 0.912184 2.16317i
\(529\) 11.4601 19.8495i 0.498266 0.863021i
\(530\) 0.663378 1.75408i 0.0288153 0.0761925i
\(531\) 13.3547 13.3547i 0.579543 0.579543i
\(532\) −2.41054 1.85175i −0.104510 0.0802836i
\(533\) −3.47502 3.47502i −0.150520 0.150520i
\(534\) −19.6810 43.6214i −0.851681 1.88768i
\(535\) 9.63421 + 5.56231i 0.416523 + 0.240480i
\(536\) 14.5997 3.33077i 0.630609 0.143867i
\(537\) 26.9437 + 15.5560i 1.16271 + 0.671290i
\(538\) −0.327673 + 3.27352i −0.0141270 + 0.141132i
\(539\) 28.2531 28.2531i 1.21695 1.21695i
\(540\) 2.41509 + 7.18970i 0.103929 + 0.309395i
\(541\) 37.9654 + 10.1728i 1.63226 + 0.437363i 0.954571 0.297984i \(-0.0963143\pi\)
0.677690 + 0.735347i \(0.262981\pi\)
\(542\) 6.13029 5.01470i 0.263319 0.215400i
\(543\) 57.3222i 2.45993i
\(544\) 1.35763 1.42660i 0.0582077 0.0611652i
\(545\) 16.9068 9.76113i 0.724206 0.418121i
\(546\) 1.99646 5.27898i 0.0854407 0.225920i
\(547\) 33.1512 + 8.88283i 1.41744 + 0.379802i 0.884576 0.466397i \(-0.154448\pi\)
0.532867 + 0.846199i \(0.321115\pi\)
\(548\) 5.20400 + 1.05237i 0.222304 + 0.0449549i
\(549\) 9.48951 2.54271i 0.405002 0.108520i
\(550\) −14.4762 10.4084i −0.617265 0.443814i
\(551\) 1.91210 9.74716i 0.0814584 0.415243i
\(552\) −0.546868 + 1.77229i −0.0232763 + 0.0754335i
\(553\) −0.612836 + 1.06146i −0.0260604 + 0.0451380i
\(554\) 34.5978 15.6098i 1.46992 0.663196i
\(555\) 53.2509 + 14.2685i 2.26037 + 0.605665i
\(556\) −1.36341 2.05462i −0.0578217 0.0871352i
\(557\) −24.0586 6.44648i −1.01940 0.273146i −0.289845 0.957074i \(-0.593604\pi\)
−0.729550 + 0.683927i \(0.760271\pi\)
\(558\) −5.28945 32.3580i −0.223920 1.36982i
\(559\) 21.4638 0.907822
\(560\) 1.40721 + 3.45941i 0.0594654 + 0.146187i
\(561\) 4.06599 2.34750i 0.171666 0.0991114i
\(562\) 20.0601 3.27917i 0.846186 0.138323i
\(563\) −12.5848 + 12.5848i −0.530385 + 0.530385i −0.920687 0.390302i \(-0.872371\pi\)
0.390302 + 0.920687i \(0.372371\pi\)
\(564\) 2.66097 + 42.6790i 0.112047 + 1.79711i
\(565\) 5.42150 + 20.2333i 0.228084 + 0.851222i
\(566\) −33.8942 3.39274i −1.42468 0.142608i
\(567\) 1.82321 3.15789i 0.0765675 0.132619i
\(568\) 22.7220 + 0.852428i 0.953393 + 0.0357671i
\(569\) 36.2205 1.51844 0.759221 0.650833i \(-0.225580\pi\)
0.759221 + 0.650833i \(0.225580\pi\)
\(570\) −37.3125 + 8.74129i −1.56285 + 0.366133i
\(571\) 14.1737 14.1737i 0.593151 0.593151i −0.345330 0.938481i \(-0.612233\pi\)
0.938481 + 0.345330i \(0.112233\pi\)
\(572\) 11.3526 56.1393i 0.474677 2.34730i
\(573\) 28.7169 7.69467i 1.19967 0.321450i
\(574\) −0.311226 0.380463i −0.0129903 0.0158802i
\(575\) 0.530894 + 0.306512i 0.0221398 + 0.0127824i
\(576\) −1.43258 + 19.0662i −0.0596907 + 0.794427i
\(577\) 24.6337 1.02552 0.512758 0.858533i \(-0.328624\pi\)
0.512758 + 0.858533i \(0.328624\pi\)
\(578\) −23.5576 + 3.85088i −0.979865 + 0.160175i
\(579\) 9.68448 36.1430i 0.402473 1.50205i
\(580\) −8.07580 + 9.14979i −0.335329 + 0.379924i
\(581\) −3.93166 3.93166i −0.163113 0.163113i
\(582\) −41.0630 29.5243i −1.70212 1.22382i
\(583\) −2.49124 + 1.43832i −0.103177 + 0.0595691i
\(584\) −11.2614 0.422479i −0.466001 0.0174823i
\(585\) −15.7756 27.3242i −0.652241 1.12971i
\(586\) −5.00637 11.0962i −0.206811 0.458381i
\(587\) 8.07758 + 30.1459i 0.333397 + 1.24426i 0.905596 + 0.424141i \(0.139424\pi\)
−0.572199 + 0.820115i \(0.693909\pi\)
\(588\) −14.2171 + 28.5996i −0.586302 + 1.17943i
\(589\) −42.1856 + 2.87682i −1.73823 + 0.118537i
\(590\) 4.82769 + 29.5332i 0.198753 + 1.21586i
\(591\) 16.4759 28.5372i 0.677730 1.17386i
\(592\) −28.0033 21.7723i −1.15093 0.894834i
\(593\) −2.41379 4.18081i −0.0991226 0.171685i 0.812199 0.583380i \(-0.198270\pi\)
−0.911322 + 0.411695i \(0.864937\pi\)
\(594\) 4.11543 10.8819i 0.168858 0.446489i
\(595\) −0.0841273 + 0.313967i −0.00344888 + 0.0128714i
\(596\) −21.2106 10.5439i −0.868819 0.431897i
\(597\) −40.0820 + 40.0820i −1.64045 + 1.64045i
\(598\) −0.196141 + 1.95948i −0.00802079 + 0.0801293i
\(599\) −17.6402 + 10.1846i −0.720759 + 0.416130i −0.815032 0.579416i \(-0.803281\pi\)
0.0942730 + 0.995546i \(0.469947\pi\)
\(600\) 13.6183 + 4.20215i 0.555965 + 0.171552i
\(601\) 18.9916 0.774685 0.387342 0.921936i \(-0.373393\pi\)
0.387342 + 0.921936i \(0.373393\pi\)
\(602\) 2.13614 + 0.213824i 0.0870627 + 0.00871481i
\(603\) −12.2224 + 3.27498i −0.497735 + 0.133368i
\(604\) −3.34974 + 3.79522i −0.136299 + 0.154425i
\(605\) 15.7622 + 58.8253i 0.640824 + 2.39159i
\(606\) −9.10118 + 24.0650i −0.369710 + 0.977575i
\(607\) 41.9687 1.70346 0.851728 0.523983i \(-0.175555\pi\)
0.851728 + 0.523983i \(0.175555\pi\)
\(608\) 24.3066 + 4.14590i 0.985763 + 0.168138i
\(609\) 1.84466 0.0747495
\(610\) −5.50644 + 14.5599i −0.222949 + 0.589515i
\(611\) 11.7510 + 43.8555i 0.475397 + 1.77420i
\(612\) −1.10118 + 1.24763i −0.0445127 + 0.0504324i
\(613\) 20.0985 5.38537i 0.811769 0.217513i 0.171024 0.985267i \(-0.445292\pi\)
0.640745 + 0.767754i \(0.278626\pi\)
\(614\) 22.1783 + 2.22001i 0.895045 + 0.0895923i
\(615\) −6.19712 −0.249892
\(616\) 1.68911 5.47406i 0.0680563 0.220556i
\(617\) −5.67962 + 3.27913i −0.228653 + 0.132013i −0.609950 0.792440i \(-0.708811\pi\)
0.381298 + 0.924452i \(0.375477\pi\)
\(618\) 0.264211 2.63952i 0.0106281 0.106177i
\(619\) 21.3821 21.3821i 0.859418 0.859418i −0.131852 0.991269i \(-0.542092\pi\)
0.991269 + 0.131852i \(0.0420922\pi\)
\(620\) 46.5203 + 23.1256i 1.86830 + 0.928746i
\(621\) −0.103530 + 0.386379i −0.00415451 + 0.0155048i
\(622\) 11.5627 30.5737i 0.463622 1.22589i
\(623\) −2.54107 4.40126i −0.101806 0.176333i
\(624\) 5.68686 + 45.4282i 0.227657 + 1.81858i
\(625\) −15.5707 + 26.9692i −0.622827 + 1.07877i
\(626\) 0.994407 + 6.08324i 0.0397445 + 0.243135i
\(627\) 52.7907 + 25.8605i 2.10826 + 1.03277i
\(628\) −2.73613 + 5.50411i −0.109184 + 0.219638i
\(629\) −0.799029 2.98202i −0.0318594 0.118901i
\(630\) −1.29783 2.87654i −0.0517069 0.114604i
\(631\) 0.941153 + 1.63012i 0.0374667 + 0.0648942i 0.884151 0.467202i \(-0.154738\pi\)
−0.846684 + 0.532096i \(0.821405\pi\)
\(632\) 0.372738 9.93556i 0.0148267 0.395215i
\(633\) 7.73999 4.46869i 0.307637 0.177614i
\(634\) −4.82642 3.47020i −0.191681 0.137819i
\(635\) 26.0985 + 26.0985i 1.03569 + 1.03569i
\(636\) 1.52160 1.72396i 0.0603355 0.0683594i
\(637\) −8.77674 + 32.7552i −0.347747 + 1.29781i
\(638\) 18.4749 3.02003i 0.731428 0.119564i
\(639\) −19.2134 −0.760070
\(640\) −23.2031 19.4788i −0.917183 0.769966i
\(641\) −24.5910 14.1976i −0.971286 0.560772i −0.0716581 0.997429i \(-0.522829\pi\)
−0.899628 + 0.436657i \(0.856162\pi\)
\(642\) 8.63653 + 10.5579i 0.340857 + 0.416685i
\(643\) −21.7168 + 5.81900i −0.856427 + 0.229479i −0.660210 0.751081i \(-0.729533\pi\)
−0.196217 + 0.980560i \(0.562866\pi\)
\(644\) −0.0390411 + 0.193060i −0.00153843 + 0.00760763i
\(645\) 19.1385 19.1385i 0.753579 0.753579i
\(646\) 1.46867 + 1.56479i 0.0577839 + 0.0615658i
\(647\) −21.3655 −0.839963 −0.419981 0.907533i \(-0.637963\pi\)
−0.419981 + 0.907533i \(0.637963\pi\)
\(648\) −1.10891 + 29.5586i −0.0435620 + 1.16117i
\(649\) 22.9516 39.7533i 0.900929 1.56045i
\(650\) 15.0567 + 1.50715i 0.590574 + 0.0591153i
\(651\) −2.03239 7.58499i −0.0796557 0.297279i
\(652\) −2.71939 43.6161i −0.106500 1.70814i
\(653\) 13.5678 13.5678i 0.530949 0.530949i −0.389906 0.920855i \(-0.627492\pi\)
0.920855 + 0.389906i \(0.127492\pi\)
\(654\) 23.6234 3.86164i 0.923748 0.151002i
\(655\) −28.8619 + 16.6634i −1.12773 + 0.651094i
\(656\) 3.67405 + 1.54931i 0.143447 + 0.0604903i
\(657\) 9.52251 0.371509
\(658\) 0.732609 + 4.48170i 0.0285601 + 0.174715i
\(659\) −36.5892 9.80404i −1.42531 0.381911i −0.537947 0.842979i \(-0.680800\pi\)
−0.887365 + 0.461068i \(0.847467\pi\)
\(660\) −39.9348 60.1803i −1.55446 2.34251i
\(661\) 17.9025 + 4.79696i 0.696327 + 0.186580i 0.589585 0.807707i \(-0.299291\pi\)
0.106742 + 0.994287i \(0.465958\pi\)
\(662\) 6.40694 2.89067i 0.249013 0.112349i
\(663\) −1.99233 + 3.45081i −0.0773756 + 0.134018i
\(664\) 43.0988 + 13.2989i 1.67256 + 0.516095i
\(665\) −3.85031 + 1.31835i −0.149309 + 0.0511233i
\(666\) 24.3357 + 17.4974i 0.942988 + 0.678009i
\(667\) −0.621711 + 0.166587i −0.0240728 + 0.00645027i
\(668\) 42.2317 + 8.54020i 1.63399 + 0.330430i
\(669\) 8.86571 + 2.37556i 0.342768 + 0.0918444i
\(670\) 7.09224 18.7531i 0.273997 0.724494i
\(671\) 20.6788 11.9389i 0.798297 0.460897i
\(672\) 0.113415 + 4.57781i 0.00437507 + 0.176593i
\(673\) 30.0490i 1.15830i −0.815220 0.579152i \(-0.803384\pi\)
0.815220 0.579152i \(-0.196616\pi\)
\(674\) −28.7148 + 23.4893i −1.10605 + 0.904773i
\(675\) 2.96895 + 0.795526i 0.114275 + 0.0306198i
\(676\) 7.19958 + 21.4331i 0.276907 + 0.824351i
\(677\) 14.9492 14.9492i 0.574545 0.574545i −0.358850 0.933395i \(-0.616831\pi\)
0.933395 + 0.358850i \(0.116831\pi\)
\(678\) −2.55813 + 25.5562i −0.0982445 + 0.981482i
\(679\) −4.65137 2.68547i −0.178503 0.103059i
\(680\) −0.586473 2.57067i −0.0224902 0.0985807i
\(681\) −51.3117 29.6249i −1.96627 1.13523i
\(682\) −32.7730 72.6388i −1.25494 2.78148i
\(683\) −23.3411 23.3411i −0.893123 0.893123i 0.101693 0.994816i \(-0.467574\pi\)
−0.994816 + 0.101693i \(0.967574\pi\)
\(684\) −20.6558 2.73080i −0.789794 0.104415i
\(685\) 5.02651 5.02651i 0.192053 0.192053i
\(686\) −2.42080 + 6.40101i −0.0924267 + 0.244392i
\(687\) −2.67895 + 4.64007i −0.102208 + 0.177030i
\(688\) −16.1313 + 6.56183i −0.614999 + 0.250168i
\(689\) 1.22071 2.11432i 0.0465052 0.0805493i
\(690\) 1.57231 + 1.92210i 0.0598570 + 0.0731730i
\(691\) 5.53083 + 5.53083i 0.210403 + 0.210403i 0.804439 0.594036i \(-0.202466\pi\)
−0.594036 + 0.804439i \(0.702466\pi\)
\(692\) −10.3371 5.13863i −0.392956 0.195342i
\(693\) −1.25288 + 4.67579i −0.0475928 + 0.177619i
\(694\) 16.7345 + 1.67509i 0.635232 + 0.0635856i
\(695\) −3.30145 −0.125231
\(696\) −13.2304 + 6.99079i −0.501496 + 0.264985i
\(697\) 0.173517 + 0.300541i 0.00657244 + 0.0113838i
\(698\) −15.8841 35.2060i −0.601224 1.33257i
\(699\) −6.72488 + 25.0976i −0.254358 + 0.949278i
\(700\) 1.48348 + 0.299993i 0.0560702 + 0.0113387i
\(701\) 5.29819 + 19.7731i 0.200110 + 0.746821i 0.990885 + 0.134713i \(0.0430114\pi\)
−0.790775 + 0.612108i \(0.790322\pi\)
\(702\) 1.59291 + 9.74455i 0.0601205 + 0.367784i
\(703\) 25.4096 29.1288i 0.958341 1.09861i
\(704\) 8.63055 + 45.6626i 0.325276 + 1.72097i
\(705\) 49.5825 + 28.6265i 1.86738 + 1.07813i
\(706\) −4.44210 + 11.7457i −0.167181 + 0.442054i
\(707\) −0.707170 + 2.63919i −0.0265958 + 0.0992571i
\(708\) −7.27279 + 35.9643i −0.273328 + 1.35162i
\(709\) −9.37434 + 34.9855i −0.352061 + 1.31391i 0.532082 + 0.846693i \(0.321410\pi\)
−0.884143 + 0.467216i \(0.845257\pi\)
\(710\) 17.7719 24.7175i 0.666968 0.927632i
\(711\) 8.40137i 0.315076i
\(712\) 34.9048 + 21.9369i 1.30811 + 0.822120i
\(713\) 1.36996 + 2.37285i 0.0513056 + 0.0888639i
\(714\) −0.232660 + 0.323588i −0.00870707 + 0.0121100i
\(715\) −54.2246 54.2246i −2.02788 2.02788i
\(716\) −26.7498 + 1.66781i −0.999687 + 0.0623289i
\(717\) 25.7916 6.91083i 0.963204 0.258090i
\(718\) −7.24727 8.85952i −0.270466 0.330635i
\(719\) 6.25083 + 3.60892i 0.233117 + 0.134590i 0.612009 0.790851i \(-0.290362\pi\)
−0.378892 + 0.925441i \(0.623695\pi\)
\(720\) 20.2097 + 15.7128i 0.753171 + 0.585582i
\(721\) 0.281710i 0.0104914i
\(722\) −6.00503 + 26.1904i −0.223484 + 0.974708i
\(723\) 12.4222 + 12.4222i 0.461985 + 0.461985i
\(724\) −27.3037 41.1458i −1.01474 1.52917i
\(725\) 1.28006 + 4.77725i 0.0475402 + 0.177422i
\(726\) −7.43738 + 74.3009i −0.276027 + 2.75756i
\(727\) −20.2764 + 35.1197i −0.752008 + 1.30252i 0.194839 + 0.980835i \(0.437581\pi\)
−0.946848 + 0.321682i \(0.895752\pi\)
\(728\) 1.08143 + 4.74020i 0.0400805 + 0.175683i
\(729\) 15.1306i 0.560394i
\(730\) −8.80809 + 12.2505i −0.326002 + 0.453410i
\(731\) −1.46403 0.392287i −0.0541492 0.0145092i
\(732\) −12.6302 + 14.3099i −0.466826 + 0.528909i
\(733\) 1.31660 1.31660i 0.0486298 0.0486298i −0.682374 0.731004i \(-0.739052\pi\)
0.731004 + 0.682374i \(0.239052\pi\)
\(734\) −2.67531 16.3661i −0.0987475 0.604083i
\(735\) 21.3808 + 37.0326i 0.788643 + 1.36597i
\(736\) −0.451635 1.53263i −0.0166475 0.0564934i
\(737\) −26.6341 + 15.3772i −0.981080 + 0.566427i
\(738\) −3.15144 1.19184i −0.116006 0.0438724i
\(739\) 44.1450 11.8286i 1.62390 0.435123i 0.671756 0.740772i \(-0.265540\pi\)
0.952144 + 0.305650i \(0.0988736\pi\)
\(740\) −45.0198 + 15.1226i −1.65496 + 0.555916i
\(741\) −49.7750 + 3.39437i −1.82853 + 0.124695i
\(742\) 0.142551 0.198263i 0.00523323 0.00727847i
\(743\) −22.9223 13.2342i −0.840939 0.485517i 0.0166440 0.999861i \(-0.494702\pi\)
−0.857583 + 0.514345i \(0.828035\pi\)
\(744\) 43.3219 + 46.6991i 1.58826 + 1.71207i
\(745\) −27.4649 + 15.8568i −1.00623 + 0.580950i
\(746\) −14.1212 31.2985i −0.517013 1.14592i
\(747\) −36.8138 9.86424i −1.34695 0.360914i
\(748\) −1.80040 + 3.62174i −0.0658290 + 0.132424i
\(749\) 1.02429 + 1.02429i 0.0374266 + 0.0374266i
\(750\) −19.2558 + 15.7516i −0.703123 + 0.575168i
\(751\) −1.91731 3.32087i −0.0699635 0.121180i 0.828922 0.559365i \(-0.188955\pi\)
−0.898885 + 0.438185i \(0.855622\pi\)
\(752\) −22.2389 29.3674i −0.810970 1.07092i
\(753\) 8.80266i 0.320787i
\(754\) −12.2975 + 10.0596i −0.447847 + 0.366348i
\(755\) 1.75414 + 6.54654i 0.0638397 + 0.238253i
\(756\) 0.0614554 + 0.985677i 0.00223511 + 0.0358487i
\(757\) −8.10195 + 2.17091i −0.294470 + 0.0789031i −0.403030 0.915187i \(-0.632043\pi\)
0.108559 + 0.994090i \(0.465376\pi\)
\(758\) 28.1679 12.7087i 1.02310 0.461602i
\(759\) 3.80917i 0.138264i
\(760\) 22.6192 24.0472i 0.820484 0.872284i
\(761\) 4.48648i 0.162635i 0.996688 + 0.0813174i \(0.0259127\pi\)
−0.996688 + 0.0813174i \(0.974087\pi\)
\(762\) 18.6116 + 41.2511i 0.674226 + 1.49437i
\(763\) 2.45541 0.657926i 0.0888919 0.0238185i
\(764\) −16.9478 + 19.2017i −0.613150 + 0.694692i
\(765\) 0.576651 + 2.15209i 0.0208489 + 0.0778090i
\(766\) −24.0786 29.4352i −0.869993 1.06354i
\(767\) 38.9581i 1.40670i
\(768\) −18.1621 32.4033i −0.655370 1.16925i
\(769\) −3.65918 6.33789i −0.131954 0.228550i 0.792476 0.609903i \(-0.208792\pi\)
−0.924430 + 0.381353i \(0.875458\pi\)
\(770\) −4.85641 5.93678i −0.175013 0.213947i
\(771\) −23.4950 23.4950i −0.846151 0.846151i
\(772\) 10.2641 + 30.5563i 0.369414 + 1.09974i
\(773\) 37.0513 + 9.92786i 1.33264 + 0.357080i 0.853700 0.520766i \(-0.174354\pi\)
0.478943 + 0.877846i \(0.341020\pi\)
\(774\) 13.4134 6.05181i 0.482133 0.217528i
\(775\) 18.2330 10.5268i 0.654950 0.378135i
\(776\) 43.5380 + 1.63335i 1.56292 + 0.0586339i
\(777\) 6.21676 + 3.58925i 0.223025 + 0.128764i
\(778\) 11.8900 + 8.54894i 0.426278 + 0.306494i
\(779\) −1.91151 + 3.90207i −0.0684868 + 0.139806i
\(780\) 54.8895 + 27.2860i 1.96536 + 0.976995i
\(781\) −45.1069 + 12.0863i −1.61405 + 0.432484i
\(782\) 0.0491915 0.130071i 0.00175908 0.00465131i
\(783\) −2.79484 + 1.61360i −0.0998794 + 0.0576654i
\(784\) −3.41759 27.3006i −0.122057 0.975022i
\(785\) 4.11482 + 7.12708i 0.146864 + 0.254376i
\(786\) −40.3280 + 6.59229i −1.43845 + 0.235139i
\(787\) −16.3982 + 16.3982i −0.584531 + 0.584531i −0.936145 0.351614i \(-0.885633\pi\)
0.351614 + 0.936145i \(0.385633\pi\)
\(788\) 1.76644 + 28.3318i 0.0629268 + 1.00928i
\(789\) −26.0963 6.99249i −0.929053 0.248939i
\(790\) −10.8081 7.77106i −0.384536 0.276482i
\(791\) 2.72756i 0.0969809i
\(792\) −8.73412 38.2840i −0.310354 1.36036i
\(793\) −10.1326 + 17.5502i −0.359819 + 0.623224i
\(794\) 23.9093 + 2.39328i 0.848510 + 0.0849342i
\(795\) −0.796809 2.97373i −0.0282599 0.105467i
\(796\) 9.67889 47.8626i 0.343059 1.69645i
\(797\) −1.90203 1.90203i −0.0673733 0.0673733i 0.672617 0.739991i \(-0.265170\pi\)
−0.739991 + 0.672617i \(0.765170\pi\)
\(798\) −4.98758 0.158044i −0.176558 0.00559471i
\(799\) 3.20613i 0.113425i
\(800\) −11.7768 + 3.47038i −0.416371 + 0.122696i
\(801\) −30.1684 17.4178i −1.06595 0.615426i
\(802\) −21.0150 + 17.1907i −0.742065 + 0.607024i
\(803\) 22.3558 5.99022i 0.788919 0.211390i
\(804\) 16.2676 18.4310i 0.573714 0.650011i
\(805\) 0.186475 + 0.186475i 0.00657239 + 0.00657239i
\(806\) 54.9125 + 39.4821i 1.93421 + 1.39070i
\(807\) 2.70041 + 4.67725i 0.0950589 + 0.164647i
\(808\) −4.92986 21.6089i −0.173432 0.760199i
\(809\) 18.0705i 0.635325i −0.948204 0.317663i \(-0.897102\pi\)
0.948204 0.317663i \(-0.102898\pi\)
\(810\) 32.1546 + 23.1192i 1.12980 + 0.812325i
\(811\) −2.71884 + 10.1468i −0.0954713 + 0.356304i −0.997090 0.0762270i \(-0.975713\pi\)
0.901619 + 0.432531i \(0.142379\pi\)
\(812\) −1.32409 + 0.878650i −0.0464666 + 0.0308346i
\(813\) 3.36516 12.5589i 0.118021 0.440461i
\(814\) 68.1392 + 25.7696i 2.38828 + 0.903224i
\(815\) −50.6711 29.2550i −1.77493 1.02476i
\(816\) 0.442378 3.20257i 0.0154863 0.112112i
\(817\) −6.14747 17.9541i −0.215073 0.628133i
\(818\) −48.9136 + 7.99575i −1.71022 + 0.279565i
\(819\) −1.06332 3.96836i −0.0371553 0.138666i
\(820\) 4.44828 2.95181i 0.155341 0.103082i
\(821\) 9.86082 36.8011i 0.344145 1.28437i −0.549463 0.835518i \(-0.685168\pi\)
0.893608 0.448848i \(-0.148166\pi\)
\(822\) 7.94486 3.58454i 0.277109 0.125025i
\(823\) −6.84417 11.8545i −0.238573 0.413220i 0.721732 0.692172i \(-0.243346\pi\)
−0.960305 + 0.278952i \(0.910013\pi\)
\(824\) 1.06761 + 2.02049i 0.0371919 + 0.0703873i
\(825\) −29.2698 −1.01904
\(826\) −0.388104 + 3.87723i −0.0135039 + 0.134906i
\(827\) 2.00112 7.46827i 0.0695856 0.259697i −0.922366 0.386318i \(-0.873747\pi\)
0.991951 + 0.126621i \(0.0404133\pi\)
\(828\) 0.429911 + 1.27984i 0.0149404 + 0.0444776i
\(829\) −31.2661 31.2661i −1.08592 1.08592i −0.995944 0.0899732i \(-0.971322\pi\)
−0.0899732 0.995944i \(-0.528678\pi\)
\(830\) 46.7419 38.2358i 1.62244 1.32719i
\(831\) 31.1553 53.9626i 1.08077 1.87194i
\(832\) −25.7204 29.8995i −0.891695 1.03658i
\(833\) 1.19731 2.07381i 0.0414844 0.0718531i
\(834\) −3.78630 1.43194i −0.131109 0.0495842i
\(835\) 40.7913 40.7913i 1.41164 1.41164i
\(836\) −50.2110 + 6.58266i −1.73658 + 0.227666i
\(837\) 9.71417 + 9.71417i 0.335771 + 0.335771i
\(838\) 13.5627 6.11919i 0.468516 0.211384i
\(839\) 6.06695 + 3.50275i 0.209454 + 0.120928i 0.601058 0.799206i \(-0.294746\pi\)
−0.391603 + 0.920134i \(0.628079\pi\)
\(840\) 5.19095 + 3.26240i 0.179105 + 0.112563i
\(841\) 20.6176 + 11.9036i 0.710953 + 0.410469i
\(842\) 13.9023 + 1.39159i 0.479104 + 0.0479574i
\(843\) 23.5953 23.5953i 0.812664 0.812664i
\(844\) −3.42722 + 6.89433i −0.117970 + 0.237313i
\(845\) 29.2405 + 7.83498i 1.00590 + 0.269531i
\(846\) 19.7088 + 24.0933i 0.677603 + 0.828345i
\(847\) 7.92996i 0.272477i
\(848\) −0.271047 + 1.96222i −0.00930779 + 0.0673831i
\(849\) −48.4283 + 27.9601i −1.66206 + 0.959589i
\(850\) −0.999466 0.377989i −0.0342814 0.0129649i
\(851\) −2.41939 0.648273i −0.0829356 0.0222225i
\(852\) 31.1026 20.6393i 1.06556 0.707090i
\(853\) −20.2215 + 5.41834i −0.692372 + 0.185521i −0.587812 0.808998i \(-0.700010\pi\)
−0.104561 + 0.994518i \(0.533344\pi\)
\(854\) −1.18326 + 1.64570i −0.0404904 + 0.0563148i
\(855\) −18.3378 + 21.0219i −0.627141 + 0.718935i
\(856\) −11.2282 3.46465i −0.383772 0.118419i
\(857\) 16.4937 28.5679i 0.563414 0.975862i −0.433781 0.901018i \(-0.642821\pi\)
0.997195 0.0748440i \(-0.0238459\pi\)
\(858\) −38.6690 85.7068i −1.32014 2.92598i
\(859\) 10.8244 + 2.90039i 0.369324 + 0.0989601i 0.438707 0.898630i \(-0.355436\pi\)
−0.0693833 + 0.997590i \(0.522103\pi\)
\(860\) −4.62153 + 22.8537i −0.157593 + 0.779304i
\(861\) −0.779443 0.208851i −0.0265633 0.00711763i
\(862\) 3.47914 0.568723i 0.118500 0.0193708i
\(863\) −8.83104 −0.300612 −0.150306 0.988640i \(-0.548026\pi\)
−0.150306 + 0.988640i \(0.548026\pi\)
\(864\) −4.17623 6.83661i −0.142078 0.232586i
\(865\) −13.3851 + 7.72790i −0.455107 + 0.262756i
\(866\) 0.0384384 + 0.235145i 0.00130619 + 0.00799056i
\(867\) −27.7090 + 27.7090i −0.941047 + 0.941047i
\(868\) 5.07173 + 4.47642i 0.172146 + 0.151940i
\(869\) 5.28496 + 19.7237i 0.179280 + 0.669082i
\(870\) −1.99545 + 19.9350i −0.0676522 + 0.675859i
\(871\) 13.0507 22.6044i 0.442205 0.765922i
\(872\) −15.1174 + 14.0242i −0.511941 + 0.474919i
\(873\) −36.8151 −1.24600
\(874\) 1.69525 0.397150i 0.0573427 0.0134338i
\(875\) −1.86813 + 1.86813i −0.0631544 + 0.0631544i
\(876\) −15.4150 + 10.2292i −0.520826 + 0.345613i
\(877\) −11.2180 + 3.00584i −0.378804 + 0.101500i −0.443197 0.896424i \(-0.646156\pi\)
0.0643928 + 0.997925i \(0.479489\pi\)
\(878\) −18.3296 + 14.9940i −0.618594 + 0.506022i
\(879\) −17.3069 9.99214i −0.583747 0.337027i
\(880\) 57.3302 + 24.1755i 1.93260 + 0.814957i
\(881\) 45.8595 1.54505 0.772523 0.634987i \(-0.218994\pi\)
0.772523 + 0.634987i \(0.218994\pi\)
\(882\) 3.75063 + 22.9443i 0.126290 + 0.772576i
\(883\) 4.73443 17.6691i 0.159326 0.594614i −0.839370 0.543561i \(-0.817076\pi\)
0.998696 0.0510529i \(-0.0162577\pi\)
\(884\) −0.213604 3.42597i −0.00718428 0.115228i
\(885\) 34.7376 + 34.7376i 1.16769 + 1.16769i
\(886\) 25.3738 35.2903i 0.852449 1.18560i
\(887\) 34.6708 20.0172i 1.16413 0.672112i 0.211841 0.977304i \(-0.432054\pi\)
0.952291 + 0.305192i \(0.0987207\pi\)
\(888\) −58.1905 2.18305i −1.95274 0.0732583i
\(889\) 2.40299 + 4.16210i 0.0805936 + 0.139592i
\(890\) 50.3125 22.6999i 1.68648 0.760902i
\(891\) −15.7229 58.6787i −0.526738 1.96581i
\(892\) −7.49531 + 2.51775i −0.250962 + 0.0843004i
\(893\) 33.3187 22.3902i 1.11497 0.749261i
\(894\) −38.3759 + 6.27319i −1.28348 + 0.209807i
\(895\) −17.9421 + 31.0766i −0.599739 + 1.03878i
\(896\) −2.26191 3.23192i −0.0755652 0.107971i
\(897\) 1.61643 + 2.79973i 0.0539709 + 0.0934804i
\(898\) −19.8394 7.50309i −0.662050 0.250381i
\(899\) −5.72127 + 21.3521i −0.190815 + 0.712131i
\(900\) 9.83434 3.30345i 0.327811 0.110115i
\(901\) −0.121906 + 0.121906i −0.00406129 + 0.00406129i
\(902\) −8.14830 0.815630i −0.271309 0.0271575i
\(903\) 3.05215 1.76216i 0.101569 0.0586409i
\(904\) −10.3367 19.5627i −0.343795 0.650646i
\(905\) −66.1149 −2.19773
\(906\) −0.827690 + 8.26879i −0.0274982 + 0.274712i
\(907\) 10.6029 2.84104i 0.352064 0.0943351i −0.0784530 0.996918i \(-0.524998\pi\)
0.430517 + 0.902583i \(0.358331\pi\)
\(908\) 50.9424 3.17618i 1.69058 0.105405i
\(909\) 4.84730 + 18.0904i 0.160775 + 0.600019i
\(910\) 6.08873 + 2.30270i 0.201839 + 0.0763338i
\(911\) 13.3892 0.443603 0.221802 0.975092i \(-0.428806\pi\)
0.221802 + 0.975092i \(0.428806\pi\)
\(912\) 36.3711 17.7681i 1.20437 0.588360i
\(913\) −92.6322 −3.06568
\(914\) 29.4417 + 11.1346i 0.973846 + 0.368300i
\(915\) 6.61399 + 24.6838i 0.218652 + 0.816020i
\(916\) −0.287219 4.60667i −0.00948997 0.152209i
\(917\) −4.19169 + 1.12316i −0.138422 + 0.0370900i
\(918\) 0.0694464 0.693783i 0.00229207 0.0228983i
\(919\) −6.51772 −0.215000 −0.107500 0.994205i \(-0.534285\pi\)
−0.107500 + 0.994205i \(0.534285\pi\)
\(920\) −2.04414 0.630753i −0.0673932 0.0207953i
\(921\) 31.6887 18.2955i 1.04418 0.602856i
\(922\) 16.2572 + 1.62732i 0.535403 + 0.0535928i
\(923\) 28.0246 28.0246i 0.922441 0.922441i
\(924\) −2.99464 8.91503i −0.0985165 0.293283i
\(925\) −4.98135 + 18.5907i −0.163786 + 0.611257i
\(926\) −39.7440 15.0308i −1.30607 0.493943i
\(927\) −0.965492 1.67228i −0.0317109 0.0549249i
\(928\) 6.16687 11.3199i 0.202437 0.371593i
\(929\) −17.7734 + 30.7845i −0.583127 + 1.01001i 0.411979 + 0.911193i \(0.364838\pi\)
−0.995106 + 0.0988127i \(0.968496\pi\)
\(930\) 84.1684 13.7587i 2.75999 0.451166i
\(931\) 29.9129 2.03989i 0.980355 0.0668545i
\(932\) −7.12739 21.2182i −0.233465 0.695025i
\(933\) −13.8884 51.8322i −0.454686 1.69691i
\(934\) −7.97133 + 3.59649i −0.260830 + 0.117681i
\(935\) 2.70758 + 4.68967i 0.0885474 + 0.153369i
\(936\) 22.6654 + 24.4323i 0.740842 + 0.798595i
\(937\) 42.3246 24.4361i 1.38269 0.798294i 0.390209 0.920726i \(-0.372403\pi\)
0.992477 + 0.122432i \(0.0390694\pi\)
\(938\) 1.52403 2.11965i 0.0497614 0.0692091i
\(939\) 7.15526 + 7.15526i 0.233503 + 0.233503i
\(940\) −49.2256 + 3.06914i −1.60556 + 0.100104i
\(941\) −4.02404 + 15.0179i −0.131180 + 0.489570i −0.999984 0.00558534i \(-0.998222\pi\)
0.868805 + 0.495155i \(0.164889\pi\)
\(942\) 1.62788 + 9.95849i 0.0530392 + 0.324465i
\(943\) 0.281558 0.00916881
\(944\) −11.9101 29.2793i −0.387642 0.952959i
\(945\) 1.14511 + 0.661131i 0.0372505 + 0.0215066i
\(946\) 27.6833 22.6455i 0.900062 0.736268i
\(947\) −5.39113 + 1.44455i −0.175188 + 0.0469415i −0.345347 0.938475i \(-0.612239\pi\)
0.170159 + 0.985417i \(0.445572\pi\)
\(948\) −9.02486 13.6001i −0.293114 0.441712i
\(949\) −13.8895 + 13.8895i −0.450872 + 0.450872i
\(950\) −3.05171 13.0263i −0.0990107 0.422630i
\(951\) −9.75869 −0.316447
\(952\) 0.0128713 0.343091i 0.000417160 0.0111196i
\(953\) −11.3935 + 19.7341i −0.369071 + 0.639251i −0.989421 0.145075i \(-0.953658\pi\)
0.620349 + 0.784326i \(0.286991\pi\)
\(954\) 0.166712 1.66548i 0.00539750 0.0539221i
\(955\) 8.87496 + 33.1218i 0.287187 + 1.07180i
\(956\) −15.2214 + 17.2456i −0.492294 + 0.557764i
\(957\) 21.7306 21.7306i 0.702452 0.702452i
\(958\) 5.43714 + 33.2614i 0.175666 + 1.07463i
\(959\) 0.801610 0.462810i 0.0258853 0.0149449i
\(960\) −49.5944 3.72637i −1.60065 0.120268i
\(961\) 63.1002 2.03549
\(962\) −61.0175 + 9.97433i −1.96728 + 0.321585i
\(963\) 9.59083 + 2.56986i 0.309060 + 0.0828124i
\(964\) −14.8335 2.99967i −0.477756 0.0966129i
\(965\) 41.6869 + 11.1700i 1.34195 + 0.359574i
\(966\) 0.132981 + 0.294741i 0.00427858 + 0.00948314i
\(967\) −9.39623 + 16.2747i −0.302162 + 0.523361i −0.976626 0.214948i \(-0.931042\pi\)
0.674463 + 0.738309i \(0.264375\pi\)
\(968\) −30.0525 56.8756i −0.965924 1.82805i
\(969\) 3.45716 + 0.678193i 0.111060 + 0.0217867i
\(970\) 34.0531 47.3616i 1.09338 1.52069i
\(971\) −32.2264 + 8.63504i −1.03419 + 0.277112i −0.735705 0.677302i \(-0.763149\pi\)
−0.298489 + 0.954413i \(0.596483\pi\)
\(972\) 22.1510 + 33.3807i 0.710493 + 1.07069i
\(973\) −0.415241 0.111263i −0.0133120 0.00356694i
\(974\) −16.9105 6.39540i −0.541848 0.204922i
\(975\) 21.5132 12.4207i 0.688975 0.397780i
\(976\) 2.24985 16.2876i 0.0720160 0.521355i
\(977\) 23.7845i 0.760932i 0.924795 + 0.380466i \(0.124236\pi\)
−0.924795 + 0.380466i \(0.875764\pi\)
\(978\) −45.4238 55.5290i −1.45249 1.77562i
\(979\) −81.7826 21.9136i −2.61378 0.700361i
\(980\) −32.9865 16.3978i −1.05372 0.523810i
\(981\) 12.3209 12.3209i 0.393376 0.393376i
\(982\) −23.8008 2.38242i −0.759515 0.0760260i
\(983\) 10.3842 + 5.99535i 0.331206 + 0.191222i 0.656376 0.754434i \(-0.272088\pi\)
−0.325170 + 0.945655i \(0.605422\pi\)
\(984\) 6.38184 1.45596i 0.203446 0.0464142i
\(985\) 32.9145 + 19.0032i 1.04874 + 0.605492i
\(986\) 1.02266 0.461400i 0.0325680 0.0146940i
\(987\) 5.27149 + 5.27149i 0.167793 + 0.167793i
\(988\) 34.1116 26.1453i 1.08523 0.831794i
\(989\) −0.869537 + 0.869537i −0.0276497 + 0.0276497i
\(990\) −49.1753 18.5977i −1.56289 0.591072i
\(991\) −15.7448 + 27.2708i −0.500150 + 0.866286i 0.499850 + 0.866112i \(0.333389\pi\)
−1.00000 0.000173426i \(0.999945\pi\)
\(992\) −53.3402 12.8854i −1.69355 0.409112i
\(993\) 5.76945 9.99298i 0.183088 0.317118i
\(994\) 3.06828 2.50991i 0.0973198 0.0796095i
\(995\) −46.2301 46.2301i −1.46559 1.46559i
\(996\) 70.1905 23.5777i 2.22407 0.747087i
\(997\) −7.19809 + 26.8636i −0.227966 + 0.850780i 0.753229 + 0.657759i \(0.228495\pi\)
−0.981195 + 0.193021i \(0.938171\pi\)
\(998\) 4.04257 40.3860i 0.127965 1.27840i
\(999\) −12.5587 −0.397338
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 304.2.x.c.27.16 144
16.3 odd 4 inner 304.2.x.c.179.26 yes 144
19.12 odd 6 inner 304.2.x.c.107.26 yes 144
304.259 even 12 inner 304.2.x.c.259.16 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
304.2.x.c.27.16 144 1.1 even 1 trivial
304.2.x.c.107.26 yes 144 19.12 odd 6 inner
304.2.x.c.179.26 yes 144 16.3 odd 4 inner
304.2.x.c.259.16 yes 144 304.259 even 12 inner